
Time bar (total: 8.7s)
| 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)
| 613.0ms | 8 256× | 0 | valid |
ival-log: 110.0ms (29% of total)ival-add: 104.0ms (27.4% of total)ival-sub: 96.0ms (25.3% of total)ival-mult: 54.0ms (14.3% of total)ival-true: 7.0ms (1.8% of total)exact: 5.0ms (1.3% of total)ival-assert: 4.0ms (1.1% 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 |
| 81.0ms | 512× | 0 | valid |
Compiled 109 to 34 computations (68.8% saved)
ival-log: 7.0ms (33.8% of total)ival-add: 5.0ms (24.1% of total)ival-sub: 4.0ms (19.3% of total)ival-mult: 3.0ms (14.5% 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 |
| 4 224× | lower-fma.f64 |
| 4 224× | lower-fma.f32 |
| 1 008× | lower-+.f32 |
| 1 008× | lower--.f32 |
| 1 004× | 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 x (-.f64 z (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y))) |
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))) |
| 4 224× | lower-fma.f64 |
| 4 224× | lower-fma.f32 |
| 1 008× | lower-+.f32 |
| 1 008× | lower--.f32 |
| 1 004× | 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 x (-.f64 z (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y))) |
(+.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 | 0.0078125 | (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) | |
| accuracy | 0.010097509768442016 | (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) | |
| accuracy | 0.09765625 | (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) | |
| accuracy | 0.125 | (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) |
| 19.0ms | 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>) () ()) |
| Outputs |
|---|
#s(alt (- (+ x y) (* (log y) (+ 1/2 y))) (taylor 0 z) (#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 (* -1 z))) (* (log y) (+ 1/2 y))) (taylor 0 z) (#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 (* -1 z))) (* (log y) (+ 1/2 y))) (taylor 0 z) (#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 (* -1 z))) (* (log y) (+ 1/2 y))) (taylor 0 z) (#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 z) (taylor inf z) (#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 (* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z)))) (taylor inf z) (#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 (* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z)))) (taylor inf z) (#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 (* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z)))) (taylor inf z) (#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 z) (taylor -inf z) (#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 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z))))) (taylor -inf z) (#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 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z))))) (taylor -inf z) (#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 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z))))) (taylor -inf z) (#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 (* 1/2 (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 (- 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>) () ())) ()) |
#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>) () ())) ()) |
#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>) () ())) ()) |
#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>) () ())) ()) |
#s(alt (- x (* 1/2 (log y))) (taylor 0 y) (#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 (- (+ x (* y (- 1 (log y)))) (* 1/2 (log y))) (taylor 0 y) (#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 (- (+ x (* y (- 1 (log y)))) (* 1/2 (log y))) (taylor 0 y) (#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 (- (+ x (* y (- 1 (log y)))) (* 1/2 (log y))) (taylor 0 y) (#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 (* 1/2 (log y)) (taylor 0 y) (#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 (+ (* 1/2 (log y)) (* y (log y))) (taylor 0 y) (#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 (+ (* 1/2 (log y)) (* y (log y))) (taylor 0 y) (#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 (+ (* 1/2 (log y)) (* y (log y))) (taylor 0 y) (#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 (* 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 (* y (- 1 (* -1 (log (/ 1 y))))) (taylor inf 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>) () ())) ()) |
#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 (-.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 (* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y))))) (taylor inf 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>) () ())) ()) |
#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 (-.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 (* y (- 1 (* -1 (log (/ 1 y))))) (taylor inf y) (#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>) () ())) ()) |
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9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 46.0ms | z | @ | 0 | ((- x (* (+ y 1/2) (log y))) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+ (- x (* (+ y 1/2) (log y))) y) (* (+ y 1/2) (log y))) |
| 4.0ms | y | @ | 0 | ((- x (* (+ y 1/2) (log y))) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+ (- x (* (+ y 1/2) (log y))) y) (* (+ y 1/2) (log y))) |
| 4.0ms | y | @ | -inf | ((- x (* (+ y 1/2) (log y))) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+ (- x (* (+ y 1/2) (log y))) y) (* (+ y 1/2) (log y))) |
| 2.0ms | y | @ | inf | ((- x (* (+ y 1/2) (log y))) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+ (- x (* (+ y 1/2) (log y))) y) (* (+ y 1/2) (log y))) |
| 1.0ms | x | @ | 0 | ((- x (* (+ y 1/2) (log y))) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+ (- x (* (+ y 1/2) (log y))) y) (* (+ y 1/2) (log y))) |
| 1× | egg-herbie |
| 12 810× | lower-fma.f64 |
| 12 810× | lower-fma.f32 |
| 3 236× | lower-*.f64 |
| 3 236× | lower-*.f32 |
| 2 922× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 127 | 1334 |
| 1 | 415 | 1196 |
| 2 | 1319 | 1105 |
| 3 | 4704 | 1074 |
| 0 | 8534 | 991 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (+ 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))))) |
(- 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))) |
(- 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)))) |
(- 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))) |
(* 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))) |
(* 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))))) |
(* 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 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))))) |
(* -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)))) |
(* -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 (+ 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))))))))) |
(* 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))))))))) |
(* 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 (* (log y) (+ 1/2 y))) |
(- x (* (log y) (+ 1/2 y))) |
(- x (* (log y) (+ 1/2 y))) |
(- x (* (log y) (+ 1/2 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)))) |
(- 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 (* -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 |
(* 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 |
(* 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 (- (/ (* (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 (* 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 |
(* -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))) |
| Outputs |
|---|
(- (+ x y) (* (log y) (+ 1/2 y))) |
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y 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)) |
(- (+ 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 y x) #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 y x) #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 y x) #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)) |
(- 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) |
(- x (+ z (* 1/2 (log y)))) |
(-.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 y) 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)) |
(- 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 y x)) |
(- (+ x (* y (- 1 (log y)))) (* 1/2 (log y))) |
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.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 y x)) |
(* 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)) |
(* 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)) |
(* 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))))) |
(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 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))))) |
(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)) |
(* -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)) |
(* -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 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64))) (-.f64 (/.f64 #s(literal 1/2 binary64) y) #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 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64))) (-.f64 (/.f64 #s(literal 1/2 binary64) y) #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 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64))) (-.f64 (/.f64 #s(literal 1/2 binary64) 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 (/.f64 (-.f64 x z) y) (*.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64))) (-.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 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64))) (-.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 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64))) (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal -1 binary64)))) #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 (* 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 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64))) (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal -1 binary64)))) #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 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64))) (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal -1 binary64)))) #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 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64))) (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal -1 binary64)))) #s(literal 1 binary64)) 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) |
(* -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) |
(- 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 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)) |
(- 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 y x)) |
(- (+ x y) (* (log y) (+ 1/2 y))) |
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x)) |
(- (+ x y) (* (log y) (+ 1/2 y))) |
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.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 |
(* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x)))) |
(fma.f64 (/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x) x x) |
(* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x)))) |
(fma.f64 (/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x) x x) |
(* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x)))) |
(fma.f64 (/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x) x x) |
x |
(* x (- (+ 1 (/ y x)) (/ (* (log y) (+ 1/2 y)) x))) |
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (fma.f64 (/.f64 y x) x x)) |
(* x (- (+ 1 (/ y x)) (/ (* (log y) (+ 1/2 y)) x))) |
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (fma.f64 (/.f64 y x) x x)) |
(* x (- (+ 1 (/ y x)) (/ (* (log y) (+ 1/2 y)) x))) |
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (fma.f64 (/.f64 y x) x 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 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1))) |
(fma.f64 (/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x) x x) |
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1))) |
(fma.f64 (/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x) x x) |
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1))) |
(fma.f64 (/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x) x x) |
x |
(* -1 (* x (- (* -1 (/ (- y (* (log y) (+ 1/2 y))) x)) 1))) |
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (fma.f64 (/.f64 y x) x x)) |
(* -1 (* x (- (* -1 (/ (- y (* (log y) (+ 1/2 y))) x)) 1))) |
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (fma.f64 (/.f64 y x) x x)) |
(* -1 (* x (- (* -1 (/ (- y (* (log y) (+ 1/2 y))) x)) 1))) |
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (fma.f64 (/.f64 y x) x x)) |
| 9 014× | lower-fma.f64 |
| 9 014× | lower-fma.f32 |
| 5 554× | lower-*.f32 |
| 5 552× | lower-*.f64 |
| 4 034× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 36 |
| 0 | 16 | 36 |
| 1 | 79 | 36 |
| 2 | 699 | 36 |
| 0 | 8843 | 33 |
| 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)) |
| 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) (neg.f64 (fma.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y) 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 (-.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (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 (*.f64 x x) 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 (-.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (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 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x)) (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)))))) |
(/.f64 (-.f64 (pow.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))) #s(literal 3 binary64)) (pow.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))) #s(literal 3 binary64))) (fma.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))) (fma.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 3 binary64)) (*.f64 (*.f64 x x) x)) (+.f64 (pow.f64 (*.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 x x) (*.f64 (*.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y)) x)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (fma.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y) x)))) |
(/.f64 (neg.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))))) (neg.f64 (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 (-.f64 (*.f64 (*.f64 x x) (fma.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y) x)) (*.f64 (fma.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y) x) (pow.f64 (*.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y)) #s(literal 2 binary64)))) (pow.f64 (fma.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y) x) #s(literal 2 binary64))) |
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(-.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 (neg.f64 (fma.f64 y y #s(literal -1/4 binary64))) (log.f64 y)) (neg.f64 (-.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) (neg.f64 (fma.f64 y y #s(literal -1/4 binary64)))) (neg.f64 (-.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))) (neg.f64 (-.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)))) (neg.f64 (-.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))) |
Compiled 13 801 to 1 382 computations (90% saved)
11 alts after pruning (11 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 433 | 11 | 444 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 434 | 11 | 445 |
| Status | Accuracy | Program |
|---|---|---|
| 76.7% | (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))))) | |
| ▶ | 99.9% | (-.f64 (-.f64 (-.f64 (+.f64 y x) (*.f64 (log.f64 y) y)) (*.f64 (log.f64 y) #s(literal 1/2 binary64))) z) |
| 76.7% | (-.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) | |
| ▶ | 99.8% | (-.f64 (+.f64 (-.f64 x (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) y)))) y) z) |
| ▶ | 71.7% | (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z) |
| 56.7% | (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) z) | |
| 73.1% | #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))) | |
| ▶ | 69.4% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z))) |
| 29.8% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) | |
| ▶ | 29.0% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z)) |
Compiled 320 to 210 computations (34.4% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (+.f64 (-.f64 x (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) y)))) y) | |
| cost-diff | 0 | (-.f64 (+.f64 (-.f64 x (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) y)))) y) z) | |
| cost-diff | 128 | (-.f64 x (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) y)))) | |
| cost-diff | 1088 | (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) y))) | |
| 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) z) | |
| cost-diff | 0 | (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) | |
| cost-diff | 0 | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z))) | |
| cost-diff | 0 | (log.f64 y) | |
| cost-diff | 0 | (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x) | |
| cost-diff | 0 | #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) | |
| cost-diff | 0 | (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) 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 y x) | |
| cost-diff | 0 | (-.f64 (-.f64 (-.f64 (+.f64 y x) (*.f64 (log.f64 y) y)) (*.f64 (log.f64 y) #s(literal 1/2 binary64))) z) | |
| cost-diff | 128 | (-.f64 (+.f64 y x) (*.f64 (log.f64 y) y)) | |
| cost-diff | 6720 | (-.f64 (-.f64 (+.f64 y x) (*.f64 (log.f64 y) y)) (*.f64 (log.f64 y) #s(literal 1/2 binary64))) |
| 4 304× | lower-fma.f32 |
| 4 300× | lower-fma.f64 |
| 1 040× | lower-+.f32 |
| 1 040× | lower--.f32 |
| 1 034× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 221 |
| 0 | 53 | 223 |
| 1 | 110 | 203 |
| 2 | 251 | 203 |
| 3 | 598 | 203 |
| 4 | 1440 | 203 |
| 5 | 2884 | 203 |
| 6 | 3475 | 203 |
| 7 | 3673 | 203 |
| 8 | 3708 | 203 |
| 9 | 3709 | 203 |
| 10 | 3709 | 203 |
| 11 | 3709 | 203 |
| 12 | 3709 | 203 |
| 13 | 3713 | 203 |
| 14 | 3723 | 203 |
| 0 | 3723 | 197 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (-.f64 (-.f64 (+.f64 y x) (*.f64 (log.f64 y) y)) (*.f64 (log.f64 y) #s(literal 1/2 binary64))) z) |
(-.f64 (-.f64 (+.f64 y x) (*.f64 (log.f64 y) y)) (*.f64 (log.f64 y) #s(literal 1/2 binary64))) |
(-.f64 (+.f64 y x) (*.f64 (log.f64 y) y)) |
(+.f64 y x) |
y |
x |
(*.f64 (log.f64 y) y) |
(log.f64 y) |
(*.f64 (log.f64 y) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
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 #s(literal -1/2 binary64) (log.f64 y) x)) z) |
#s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) |
(fma.f64 #s(literal -1/2 binary64) (log.f64 y) x) |
#s(literal -1/2 binary64) |
(log.f64 y) |
y |
x |
z |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z))) |
(-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) |
y |
(fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z) |
(+.f64 #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
(log.f64 y) |
z |
(-.f64 (+.f64 (-.f64 x (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) y)))) y) z) |
(+.f64 (-.f64 x (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) y)))) y) |
(-.f64 x (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) y)))) |
x |
(/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) y))) |
(log.f64 y) |
y |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) y)) |
#s(literal 1 binary64) |
(+.f64 #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
z |
| Outputs |
|---|
(-.f64 (-.f64 (-.f64 (+.f64 y x) (*.f64 (log.f64 y) y)) (*.f64 (log.f64 y) #s(literal 1/2 binary64))) z) |
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (-.f64 (+.f64 x y) z)) |
(-.f64 (-.f64 (+.f64 y x) (*.f64 (log.f64 y) y)) (*.f64 (log.f64 y) #s(literal 1/2 binary64))) |
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x y)) |
(-.f64 (+.f64 y x) (*.f64 (log.f64 y) y)) |
(fma.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y x) |
(+.f64 y x) |
(+.f64 x y) |
y |
x |
(*.f64 (log.f64 y) y) |
(log.f64 y) |
(*.f64 (log.f64 y) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (log.f64 y)) |
#s(literal 1/2 binary64) |
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 #s(literal -1/2 binary64) (log.f64 y) x)) z) |
#s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) |
(fma.f64 #s(literal -1/2 binary64) (log.f64 y) x) |
#s(literal -1/2 binary64) |
(log.f64 y) |
y |
x |
z |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y (fma.f64 (-.f64 y #s(literal -1/2 binary64)) (log.f64 y) z))) |
(-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) |
(-.f64 y (fma.f64 (-.f64 y #s(literal -1/2 binary64)) (log.f64 y) z)) |
y |
(fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z) |
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) (log.f64 y) z) |
(+.f64 #s(literal 1/2 binary64) y) |
(-.f64 y #s(literal -1/2 binary64)) |
#s(literal 1/2 binary64) |
(log.f64 y) |
z |
(-.f64 (+.f64 (-.f64 x (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) y)))) y) z) |
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (-.f64 (+.f64 x y) z)) |
(+.f64 (-.f64 x (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) y)))) y) |
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x y)) |
(-.f64 x (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) y)))) |
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x) |
x |
(/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) y))) |
(*.f64 (-.f64 y #s(literal -1/2 binary64)) (log.f64 y)) |
(log.f64 y) |
y |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) y)) |
(/.f64 #s(literal 1 binary64) (-.f64 y #s(literal -1/2 binary64))) |
#s(literal 1 binary64) |
(+.f64 #s(literal 1/2 binary64) y) |
(-.f64 y #s(literal -1/2 binary64)) |
#s(literal 1/2 binary64) |
z |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.010097509768442016 | (-.f64 (+.f64 (-.f64 x (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) y)))) y) z) | |
| accuracy | 0.01171875 | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) y)) | |
| accuracy | 0.09765625 | (+.f64 (-.f64 x (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) y)))) y) | |
| accuracy | 0.15625 | (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) y))) | |
| accuracy | 0 | (log.f64 y) | |
| accuracy | 0.08984375 | (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z) | |
| accuracy | 0.09765625 | (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) | |
| accuracy | 19.465336269274474 | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z))) | |
| accuracy | 0 | (log.f64 y) | |
| accuracy | 0.010097509768442016 | (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z) | |
| accuracy | 0.015625 | (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x) | |
| accuracy | 23.108898587893982 | #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) | |
| accuracy | 0 | (neg.f64 z) | |
| accuracy | 45.46060807496214 | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z)) | |
| accuracy | 0.00390625 | (-.f64 (-.f64 (+.f64 y x) (*.f64 (log.f64 y) y)) (*.f64 (log.f64 y) #s(literal 1/2 binary64))) | |
| accuracy | 0.010097509768442016 | (-.f64 (-.f64 (-.f64 (+.f64 y x) (*.f64 (log.f64 y) y)) (*.f64 (log.f64 y) #s(literal 1/2 binary64))) z) | |
| accuracy | 0.12890625 | (-.f64 (+.f64 y x) (*.f64 (log.f64 y) y)) | |
| accuracy | 0.2578125 | (*.f64 (log.f64 y) y) |
| 70.0ms | 256× | 0 | valid |
Compiled 201 to 32 computations (84.1% saved)
ival-div: 13.0ms (24.8% of total)ival-mult: 11.0ms (21% of total)ival-sub: 11.0ms (21% of total)ival-add: 8.0ms (15.3% of total)ival-log: 6.0ms (11.5% of total)ival-neg: 3.0ms (5.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (-.f64 (-.f64 (+.f64 y x) (*.f64 (log.f64 y) y)) (*.f64 (log.f64 y) #s(literal 1/2 binary64))) (patch (-.f64 (-.f64 (+.f64 y x) (*.f64 (log.f64 y) y)) (*.f64 (log.f64 y) #s(literal 1/2 binary64))) #<representation binary64>) () ()) |
#s(alt (-.f64 (+.f64 y x) (*.f64 (log.f64 y) y)) (patch (-.f64 (+.f64 y x) (*.f64 (log.f64 y) y)) #<representation binary64>) () ()) |
#s(alt (-.f64 (-.f64 (-.f64 (+.f64 y x) (*.f64 (log.f64 y) y)) (*.f64 (log.f64 y) #s(literal 1/2 binary64))) z) (patch (-.f64 (-.f64 (-.f64 (+.f64 y x) (*.f64 (log.f64 y) y)) (*.f64 (log.f64 y) #s(literal 1/2 binary64))) z) #<representation binary64>) () ()) |
#s(alt (+.f64 y x) (patch (+.f64 y x) #<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 #s(literal -1/2 binary64) (log.f64 y) x)) z) (patch (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) (patch #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x) (patch (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x) #<representation binary64>) () ()) |
#s(alt (log.f64 y) (patch (log.f64 y) #<representation binary64>) () ()) |
#s(alt #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z))) (patch #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z))) #<representation binary64>) () ()) |
#s(alt (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) (patch (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z) (patch (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.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 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) y))) (patch (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) y))) #<representation binary64>) () ()) |
#s(alt (-.f64 x (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) y)))) (patch (-.f64 x (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) y)))) #<representation binary64>) () ()) |
#s(alt (-.f64 (+.f64 (-.f64 x (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) y)))) y) z) (patch (-.f64 (+.f64 (-.f64 x (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) y)))) y) z) #<representation binary64>) () ()) |
#s(alt (+.f64 (-.f64 x (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) y)))) y) (patch (+.f64 (-.f64 x (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) y)))) y) #<representation binary64>) () ()) |
#s(alt (*.f64 (log.f64 y) y) (patch (*.f64 (log.f64 y) y) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) y)) (patch (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) y)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (- (+ x y) (+ (* 1/2 (log y)) (* y (log y)))) (taylor 0 z) (#s(alt (-.f64 (-.f64 (-.f64 (+.f64 y x) (*.f64 (log.f64 y) y)) (*.f64 (log.f64 y) #s(literal 1/2 binary64))) z) (patch (-.f64 (-.f64 (-.f64 (+.f64 y x) (*.f64 (log.f64 y) y)) (*.f64 (log.f64 y) #s(literal 1/2 binary64))) z) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (+ y (* -1 z))) (+ (* 1/2 (log y)) (* y (log y)))) (taylor 0 z) (#s(alt (-.f64 (-.f64 (-.f64 (+.f64 y x) (*.f64 (log.f64 y) y)) (*.f64 (log.f64 y) #s(literal 1/2 binary64))) z) (patch (-.f64 (-.f64 (-.f64 (+.f64 y x) (*.f64 (log.f64 y) y)) (*.f64 (log.f64 y) #s(literal 1/2 binary64))) z) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (+ y (* -1 z))) (+ (* 1/2 (log y)) (* y (log y)))) (taylor 0 z) (#s(alt (-.f64 (-.f64 (-.f64 (+.f64 y x) (*.f64 (log.f64 y) y)) (*.f64 (log.f64 y) #s(literal 1/2 binary64))) z) (patch (-.f64 (-.f64 (-.f64 (+.f64 y x) (*.f64 (log.f64 y) y)) (*.f64 (log.f64 y) #s(literal 1/2 binary64))) z) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (+ y (* -1 z))) (+ (* 1/2 (log y)) (* y (log y)))) (taylor 0 z) (#s(alt (-.f64 (-.f64 (-.f64 (+.f64 y x) (*.f64 (log.f64 y) y)) (*.f64 (log.f64 y) #s(literal 1/2 binary64))) z) (patch (-.f64 (-.f64 (-.f64 (+.f64 y x) (*.f64 (log.f64 y) y)) (*.f64 (log.f64 y) #s(literal 1/2 binary64))) z) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x y) (* (log y) (+ 1/2 y))) (taylor 0 z) (#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 (- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y))) (taylor 0 z) (#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 (- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y))) (taylor 0 z) (#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 (- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y))) (taylor 0 z) (#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 (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x y) (* (log y) (+ 1/2 y))) (taylor 0 z) (#s(alt (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z) (patch (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y))) (taylor 0 z) (#s(alt (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z) (patch (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y))) (taylor 0 z) (#s(alt (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z) (patch (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y))) (taylor 0 z) (#s(alt (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z) (patch (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x y) (* (log y) (+ 1/2 y))) (taylor 0 z) (#s(alt #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z))) (patch #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y))) (taylor 0 z) (#s(alt #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z))) (patch #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y))) (taylor 0 z) (#s(alt #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z))) (patch #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y))) (taylor 0 z) (#s(alt #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z))) (patch #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z))) #<representation binary64>) () ())) ()) |
#s(alt (- y (* (log y) (+ 1/2 y))) (taylor 0 z) (#s(alt (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) (patch (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ y (* -1 z)) (* (log y) (+ 1/2 y))) (taylor 0 z) (#s(alt (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) (patch (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ y (* -1 z)) (* (log y) (+ 1/2 y))) (taylor 0 z) (#s(alt (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) (patch (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ y (* -1 z)) (* (log y) (+ 1/2 y))) (taylor 0 z) (#s(alt (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) (patch (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) #<representation binary64>) () ())) ()) |
#s(alt (* (log y) (+ 1/2 y)) (taylor 0 z) (#s(alt (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z) (patch (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z) #<representation binary64>) () ())) ()) |
#s(alt (+ z (* (log y) (+ 1/2 y))) (taylor 0 z) (#s(alt (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z) (patch (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z) #<representation binary64>) () ())) ()) |
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#s(alt (+ z (* (log y) (+ 1/2 y))) (taylor 0 z) (#s(alt (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z) (patch (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1))) (taylor -inf x) (#s(alt (-.f64 (+.f64 (-.f64 x (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) y)))) y) z) (patch (-.f64 (+.f64 (-.f64 x (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) 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 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) y)))) y) z) (patch (-.f64 (+.f64 (-.f64 x (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) 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 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) y)))) y) z) (patch (-.f64 (+.f64 (-.f64 x (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) y)))) y) z) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (+.f64 (-.f64 x (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) y)))) y) (patch (+.f64 (-.f64 x (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) y)))) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- y (* (log y) (+ 1/2 y))) x)) 1))) (taylor -inf x) (#s(alt (+.f64 (-.f64 x (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) y)))) y) (patch (+.f64 (-.f64 x (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) y)))) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- y (* (log y) (+ 1/2 y))) x)) 1))) (taylor -inf x) (#s(alt (+.f64 (-.f64 x (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) y)))) y) (patch (+.f64 (-.f64 x (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) y)))) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- y (* (log y) (+ 1/2 y))) x)) 1))) (taylor -inf x) (#s(alt (+.f64 (-.f64 x (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) y)))) y) (patch (+.f64 (-.f64 x (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) y)))) y) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 68.0ms | y | @ | 0 | ((- (- (+ y x) (* (log y) y)) (* (log y) 1/2)) (- (+ y x) (* (log y) y)) (- (- (- (+ y x) (* (log y) y)) (* (log y) 1/2)) z) (+ y x) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg z) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+ (- x (* (+ y 1/2) (log y))) y) (+ (* -1/2 (log y)) x) (log y) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (- y (+ (* (+ 1/2 y) (log y)) z)) (+ (* (+ 1/2 y) (log y)) z) (+ 1/2 y) (/ (log y) (/ 1 (+ 1/2 y))) (- x (/ (log y) (/ 1 (+ 1/2 y)))) (- (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) z) (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) (* (log y) y) (/ 1 (+ 1/2 y))) |
| 16.0ms | y | @ | -inf | ((- (- (+ y x) (* (log y) y)) (* (log y) 1/2)) (- (+ y x) (* (log y) y)) (- (- (- (+ y x) (* (log y) y)) (* (log y) 1/2)) z) (+ y x) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg z) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+ (- x (* (+ y 1/2) (log y))) y) (+ (* -1/2 (log y)) x) (log y) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (- y (+ (* (+ 1/2 y) (log y)) z)) (+ (* (+ 1/2 y) (log y)) z) (+ 1/2 y) (/ (log y) (/ 1 (+ 1/2 y))) (- x (/ (log y) (/ 1 (+ 1/2 y)))) (- (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) z) (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) (* (log y) y) (/ 1 (+ 1/2 y))) |
| 9.0ms | y | @ | inf | ((- (- (+ y x) (* (log y) y)) (* (log y) 1/2)) (- (+ y x) (* (log y) y)) (- (- (- (+ y x) (* (log y) y)) (* (log y) 1/2)) z) (+ y x) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg z) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+ (- x (* (+ y 1/2) (log y))) y) (+ (* -1/2 (log y)) x) (log y) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (- y (+ (* (+ 1/2 y) (log y)) z)) (+ (* (+ 1/2 y) (log y)) z) (+ 1/2 y) (/ (log y) (/ 1 (+ 1/2 y))) (- x (/ (log y) (/ 1 (+ 1/2 y)))) (- (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) z) (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) (* (log y) y) (/ 1 (+ 1/2 y))) |
| 2.0ms | z | @ | 0 | ((- (- (+ y x) (* (log y) y)) (* (log y) 1/2)) (- (+ y x) (* (log y) y)) (- (- (- (+ y x) (* (log y) y)) (* (log y) 1/2)) z) (+ y x) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg z) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+ (- x (* (+ y 1/2) (log y))) y) (+ (* -1/2 (log y)) x) (log y) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (- y (+ (* (+ 1/2 y) (log y)) z)) (+ (* (+ 1/2 y) (log y)) z) (+ 1/2 y) (/ (log y) (/ 1 (+ 1/2 y))) (- x (/ (log y) (/ 1 (+ 1/2 y)))) (- (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) z) (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) (* (log y) y) (/ 1 (+ 1/2 y))) |
| 2.0ms | x | @ | 0 | ((- (- (+ y x) (* (log y) y)) (* (log y) 1/2)) (- (+ y x) (* (log y) y)) (- (- (- (+ y x) (* (log y) y)) (* (log y) 1/2)) z) (+ y x) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg z) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+ (- x (* (+ y 1/2) (log y))) y) (+ (* -1/2 (log y)) x) (log y) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (- y (+ (* (+ 1/2 y) (log y)) z)) (+ (* (+ 1/2 y) (log y)) z) (+ 1/2 y) (/ (log y) (/ 1 (+ 1/2 y))) (- x (/ (log y) (/ 1 (+ 1/2 y)))) (- (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) z) (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) (* (log y) y) (/ 1 (+ 1/2 y))) |
| 1× | egg-herbie |
| 15 618× | lower-fma.f64 |
| 15 618× | lower-fma.f32 |
| 5 288× | lower-*.f64 |
| 5 288× | lower-*.f32 |
| 3 792× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 290 | 6147 |
| 1 | 930 | 5463 |
| 2 | 2685 | 4978 |
| 0 | 8431 | 4668 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (+ x y) (+ (* 1/2 (log y)) (* y (log y)))) |
(- (+ x (+ y (* -1 z))) (+ (* 1/2 (log y)) (* y (log y)))) |
(- (+ x (+ y (* -1 z))) (+ (* 1/2 (log y)) (* y (log y)))) |
(- (+ x (+ y (* -1 z))) (+ (* 1/2 (log y)) (* y (log 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) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(- (+ 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))) |
(- (+ 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))) |
(- y (* (log y) (+ 1/2 y))) |
(- (+ y (* -1 z)) (* (log y) (+ 1/2 y))) |
(- (+ y (* -1 z)) (* (log y) (+ 1/2 y))) |
(- (+ y (* -1 z)) (* (log y) (+ 1/2 y))) |
(* (log y) (+ 1/2 y)) |
(+ z (* (log y) (+ 1/2 y))) |
(+ z (* (log y) (+ 1/2 y))) |
(+ z (* (log y) (+ 1/2 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 (+ (* 1/2 (/ (log y) z)) (/ (* y (log y)) z))))) |
(* z (- (+ (/ x z) (/ y z)) (+ 1 (+ (* 1/2 (/ (log y) z)) (/ (* y (log y)) z))))) |
(* z (- (+ (/ x z) (/ y z)) (+ 1 (+ (* 1/2 (/ (log y) z)) (/ (* y (log y)) z))))) |
(* -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 z) |
(* -1 z) |
(* -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) |
(* 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) |
(* z (- (/ y z) (+ 1 (/ (* (log y) (+ 1/2 y)) z)))) |
(* z (- (/ y z) (+ 1 (/ (* (log y) (+ 1/2 y)) z)))) |
(* z (- (/ y z) (+ 1 (/ (* (log y) (+ 1/2 y)) z)))) |
z |
(* z (+ 1 (/ (* (log y) (+ 1/2 y)) z))) |
(* z (+ 1 (/ (* (log y) (+ 1/2 y)) z))) |
(* z (+ 1 (/ (* (log y) (+ 1/2 y)) z))) |
(* -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) (+ (* 1/2 (log y)) (* y (log y)))) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (+ (* 1/2 (log y)) (* y (log y)))) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (+ (* 1/2 (log y)) (* y (log 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))))) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 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))))) |
(* -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))))) |
(* -1 z) |
(* -1 (* z (+ 1 (* -1 (/ (- y (* (log y) (+ 1/2 y))) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (- y (* (log y) (+ 1/2 y))) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (- y (* (log y) (+ 1/2 y))) z))))) |
z |
(* -1 (* z (- (* -1 (/ (* (log y) (+ 1/2 y)) z)) 1))) |
(* -1 (* z (- (* -1 (/ (* (log y) (+ 1/2 y)) z)) 1))) |
(* -1 (* z (- (* -1 (/ (* (log y) (+ 1/2 y)) z)) 1))) |
(* -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))))) |
(- 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))) |
x |
(+ x (* y (- 1 (log y)))) |
(+ x (* y (- 1 (log y)))) |
(+ x (* y (- 1 (log y)))) |
(- 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)))) |
x |
(+ x y) |
(+ x y) |
(+ x y) |
(- 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)))) |
(- 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)))) |
(- 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))) |
(+ x (* -1/2 (log y))) |
(+ x (* -1/2 (log y))) |
(+ x (* -1/2 (log y))) |
(+ x (* -1/2 (log y))) |
(log y) |
(log y) |
(log y) |
(log y) |
(- 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)))) |
(* -1 (+ z (* 1/2 (log y)))) |
(- (* y (- 1 (log y))) (+ z (* 1/2 (log y)))) |
(- (* y (- 1 (log y))) (+ z (* 1/2 (log y)))) |
(- (* y (- 1 (log y))) (+ z (* 1/2 (log y)))) |
(+ z (* 1/2 (log y))) |
(+ z (+ (* 1/2 (log y)) (* y (log y)))) |
(+ z (+ (* 1/2 (log y)) (* y (log y)))) |
(+ z (+ (* 1/2 (log y)) (* y (log y)))) |
1/2 |
(+ 1/2 y) |
(+ 1/2 y) |
(+ 1/2 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))) |
(- 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))) |
(- 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)))) |
(- 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 (log y)) |
(* y (log y)) |
(* y (log y)) |
(* y (log y)) |
2 |
(+ 2 (* -4 y)) |
(+ 2 (* y (- (* 8 y) 4))) |
(+ 2 (* y (- (* y (+ 8 (* -16 y))) 4))) |
(* 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 y))))) |
(* y (- (+ 1 (/ x y)) (* -1 (log (/ 1 y))))) |
(* y (- (+ 1 (/ x y)) (* -1 (log (/ 1 y))))) |
(* y (- (+ 1 (/ x y)) (* -1 (log (/ 1 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 |
(* y (+ 1 (/ x y))) |
(* y (+ 1 (/ x y))) |
(* y (+ 1 (/ x 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 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 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))))) |
(+ x (* 1/2 (log (/ 1 y)))) |
(+ x (* 1/2 (log (/ 1 y)))) |
(+ x (* 1/2 (log (/ 1 y)))) |
(+ x (* 1/2 (log (/ 1 y)))) |
(* -1 (log (/ 1 y))) |
(* -1 (log (/ 1 y))) |
(* -1 (log (/ 1 y))) |
(* -1 (log (/ 1 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 y))))) |
(* y (- (+ 1 (* -1 (/ (+ z (* -1/2 (log (/ 1 y)))) y))) (* -1 (log (/ 1 y))))) |
(* y (- (+ 1 (* -1 (/ (+ z (* -1/2 (log (/ 1 y)))) y))) (* -1 (log (/ 1 y))))) |
(* y (- (+ 1 (* -1 (/ (+ z (* -1/2 (log (/ 1 y)))) y))) (* -1 (log (/ 1 y))))) |
(* -1 (* y (log (/ 1 y)))) |
(* y (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y)))) |
(* y (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y)))) |
(* y (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y)))) |
y |
(* y (+ 1 (* 1/2 (/ 1 y)))) |
(* y (+ 1 (* 1/2 (/ 1 y)))) |
(* y (+ 1 (* 1/2 (/ 1 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 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))))) |
(* 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 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))))) |
(* -1 (* y (log (/ 1 y)))) |
(* -1 (* y (log (/ 1 y)))) |
(* -1 (* y (log (/ 1 y)))) |
(* -1 (* y (log (/ 1 y)))) |
(/ 1 y) |
(/ (- 1 (* 1/2 (/ 1 y))) y) |
(/ (- (+ 1 (/ 1/4 (pow y 2))) (* 1/2 (/ 1 y))) y) |
(/ (- (+ 1 (/ 1/4 (pow y 2))) (+ (* 1/2 (/ 1 y)) (* 1/8 (/ 1 (pow y 3))))) 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))))))))) |
(* y (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))) |
(* -1 (* y (- (* -1 (/ x y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))))) |
(* -1 (* y (- (* -1 (/ x y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))))) |
(* -1 (* y (- (* -1 (/ x y)) (+ 1 (* -1 (+ (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))))))))) |
(* -1 (* y (- (* -1 (/ (- x (+ z (* 1/2 (+ (log -1) (* -1 (log (/ -1 y))))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))))) |
y |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* 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))))))))) |
(* 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))))))))) |
(* 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))))))))) |
(+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) |
(+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) |
(+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) |
(+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) |
(+ (log -1) (* -1 (log (/ -1 y)))) |
(+ (log -1) (* -1 (log (/ -1 y)))) |
(+ (log -1) (* -1 (log (/ -1 y)))) |
(+ (log -1) (* -1 (log (/ -1 y)))) |
(* 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))))))))) |
(* y (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))) |
(* -1 (* y (- (+ (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y)) (/ z y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))))) |
(* -1 (* y (- (+ (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y)) (/ z y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))))) |
(* -1 (* y (- (+ (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y)) (/ z y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))))) |
(* y (+ (log -1) (* -1 (log (/ -1 y))))) |
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1 (/ (+ z (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y))))) |
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1 (/ (+ z (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y))))) |
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1 (/ (+ z (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y))))) |
y |
(* y (+ 1 (* 1/2 (/ 1 y)))) |
(* y (+ 1 (* 1/2 (/ 1 y)))) |
(* y (+ 1 (* 1/2 (/ 1 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 (* 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 (+ 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))))))))) |
(* 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))))))))) |
(* 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 y) |
(* -1 (/ (- (* 1/2 (/ 1 y)) 1) y)) |
(* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 y)) 1/2) y)) 1) y)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 y)) 1/4) y)) 1/2) y)) 1) y)) |
(- y (+ (* 1/2 (log y)) (* y (log y)))) |
(- (+ x y) (+ (* 1/2 (log y)) (* y (log y)))) |
(- (+ x y) (+ (* 1/2 (log y)) (* y (log y)))) |
(- (+ x y) (+ (* 1/2 (log y)) (* y (log y)))) |
(- y (* y (log y))) |
(- (+ x y) (* y (log y))) |
(- (+ x y) (* y (log y))) |
(- (+ x y) (* y (log y))) |
(- y (+ z (+ (* 1/2 (log y)) (* y (log y))))) |
(- (+ x y) (+ z (+ (* 1/2 (log y)) (* y (log y))))) |
(- (+ x y) (+ z (+ (* 1/2 (log y)) (* y (log y))))) |
(- (+ x y) (+ z (+ (* 1/2 (log y)) (* y (log y))))) |
y |
(+ x y) |
(+ x y) |
(+ x 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)))) |
(- 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)))) |
(- 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))) |
(* -1/2 (log y)) |
(+ x (* -1/2 (log y))) |
(+ x (* -1/2 (log y))) |
(+ x (* -1/2 (log 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)))) |
(* -1 (* (log y) (+ 1/2 y))) |
(- x (* (log y) (+ 1/2 y))) |
(- x (* (log y) (+ 1/2 y))) |
(- x (* (log y) (+ 1/2 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)))) |
(- 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)) (+ (* 1/2 (/ (log y) x)) (/ (* y (log y)) x)))) |
(* x (- (+ 1 (/ y x)) (+ (* 1/2 (/ (log y) x)) (/ (* y (log y)) x)))) |
(* x (- (+ 1 (/ y x)) (+ (* 1/2 (/ (log y) x)) (/ (* y (log y)) x)))) |
x |
(* x (- (+ 1 (/ y x)) (/ (* y (log y)) x))) |
(* x (- (+ 1 (/ y x)) (/ (* y (log y)) x))) |
(* x (- (+ 1 (/ y x)) (/ (* y (log y)) x))) |
x |
(* x (- (+ 1 (/ y x)) (+ (* 1/2 (/ (log y) x)) (+ (/ z x) (/ (* y (log y)) x))))) |
(* x (- (+ 1 (/ y x)) (+ (* 1/2 (/ (log y) x)) (+ (/ z x) (/ (* y (log y)) x))))) |
(* x (- (+ 1 (/ y x)) (+ (* 1/2 (/ (log y) x)) (+ (/ z x) (/ (* y (log y)) x))))) |
x |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (/ y x))) |
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 |
(* 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 |
(* 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 |
(* x (+ 1 (* -1/2 (/ (log y) x)))) |
(* x (+ 1 (* -1/2 (/ (log y) x)))) |
(* x (+ 1 (* -1/2 (/ (log y) x)))) |
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 |
(* 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 |
(* 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 |
(* 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 (+ (* 1/2 (log y)) (* y (log y)))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- y (+ (* 1/2 (log y)) (* y (log y)))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- y (+ (* 1/2 (log y)) (* y (log y)))) x)) 1))) |
x |
(* -1 (* x (- (* -1 (/ (- y (* y (log y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- y (* y (log y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- y (* y (log y))) x)) 1))) |
x |
(* -1 (* x (- (* -1 (/ (- y (+ z (+ (* 1/2 (log y)) (* y (log y))))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- y (+ z (+ (* 1/2 (log y)) (* y (log y))))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- y (+ z (+ (* 1/2 (log y)) (* y (log y))))) x)) 1))) |
x |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
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 |
(* -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 |
(* -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 (* x (- (* 1/2 (/ (log y) x)) 1))) |
(* -1 (* x (- (* 1/2 (/ (log y) x)) 1))) |
(* -1 (* x (- (* 1/2 (/ (log y) x)) 1))) |
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 |
(* -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 (* 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 |
(* -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))) |
| Outputs |
|---|
(- (+ x y) (+ (* 1/2 (log y)) (* y (log y)))) |
(fma.f64 (-.f64 (neg.f64 y) #s(literal 1/2 binary64)) (log.f64 y) (+.f64 y x)) |
(- (+ x (+ y (* -1 z))) (+ (* 1/2 (log y)) (* y (log y)))) |
(-.f64 (+.f64 y x) (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) |
(- (+ x (+ y (* -1 z))) (+ (* 1/2 (log y)) (* y (log y)))) |
(-.f64 (+.f64 y x) (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) |
(- (+ x (+ y (* -1 z))) (+ (* 1/2 (log y)) (* y (log y)))) |
(-.f64 (+.f64 y x) (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) |
(- (+ x y) (* (log y) (+ 1/2 y))) |
(fma.f64 (-.f64 (neg.f64 y) #s(literal 1/2 binary64)) (log.f64 y) (+.f64 y x)) |
(- (+ x (+ y (* -1 z))) (* (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))) (* (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))) (* (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) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(- (+ x y) (* (log y) (+ 1/2 y))) |
(fma.f64 (-.f64 (neg.f64 y) #s(literal 1/2 binary64)) (log.f64 y) (+.f64 y x)) |
(- (+ x (+ y (* -1 z))) (* (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))) (* (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))) (* (log y) (+ 1/2 y))) |
(-.f64 (+.f64 y x) (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) |
(- (+ x y) (* (log y) (+ 1/2 y))) |
(fma.f64 (-.f64 (neg.f64 y) #s(literal 1/2 binary64)) (log.f64 y) (+.f64 y x)) |
(- (+ x (+ y (* -1 z))) (* (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))) (* (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))) (* (log y) (+ 1/2 y))) |
(-.f64 (+.f64 y x) (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) |
(- y (* (log y) (+ 1/2 y))) |
(fma.f64 (-.f64 (neg.f64 y) #s(literal 1/2 binary64)) (log.f64 y) y) |
(- (+ y (* -1 z)) (* (log y) (+ 1/2 y))) |
(-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) |
(- (+ y (* -1 z)) (* (log y) (+ 1/2 y))) |
(-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) |
(- (+ y (* -1 z)) (* (log y) (+ 1/2 y))) |
(-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) |
(* (log y) (+ 1/2 y)) |
(*.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y)) |
(+ z (* (log y) (+ 1/2 y))) |
(fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z) |
(+ z (* (log y) (+ 1/2 y))) |
(fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z) |
(+ z (* (log y) (+ 1/2 y))) |
(fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z) |
(- (+ x y) (* (log y) (+ 1/2 y))) |
(fma.f64 (-.f64 (neg.f64 y) #s(literal 1/2 binary64)) (log.f64 y) (+.f64 y x)) |
(- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y))) |
(-.f64 (+.f64 y x) (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) |
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(fma.f64 (-.f64 (neg.f64 y) #s(literal 1/2 binary64)) (log.f64 y) x) |
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(fma.f64 (-.f64 (neg.f64 y) #s(literal 1/2 binary64)) (log.f64 y) x) |
(- 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 y x) (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) |
(- (+ x y) (+ z (* (log y) (+ 1/2 y)))) |
(-.f64 (+.f64 y x) (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) |
(- (+ x y) (+ z (* (log y) (+ 1/2 y)))) |
(-.f64 (+.f64 y x) (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) |
(- y (* (log y) (+ 1/2 y))) |
(fma.f64 (-.f64 (neg.f64 y) #s(literal 1/2 binary64)) (log.f64 y) y) |
(- (+ x y) (* (log y) (+ 1/2 y))) |
(fma.f64 (-.f64 (neg.f64 y) #s(literal 1/2 binary64)) (log.f64 y) (+.f64 y x)) |
(- (+ x y) (* (log y) (+ 1/2 y))) |
(fma.f64 (-.f64 (neg.f64 y) #s(literal 1/2 binary64)) (log.f64 y) (+.f64 y x)) |
(- (+ x y) (* (log y) (+ 1/2 y))) |
(fma.f64 (-.f64 (neg.f64 y) #s(literal 1/2 binary64)) (log.f64 y) (+.f64 y x)) |
x |
(* x (- (+ 1 (/ y x)) (+ (* 1/2 (/ (log y) x)) (/ (* y (log y)) x)))) |
(fma.f64 (/.f64 (fma.f64 (-.f64 (neg.f64 y) #s(literal 1/2 binary64)) (log.f64 y) y) x) x x) |
(* x (- (+ 1 (/ y x)) (+ (* 1/2 (/ (log y) x)) (/ (* y (log y)) x)))) |
(fma.f64 (/.f64 (fma.f64 (-.f64 (neg.f64 y) #s(literal 1/2 binary64)) (log.f64 y) y) x) x x) |
(* x (- (+ 1 (/ y x)) (+ (* 1/2 (/ (log y) x)) (/ (* y (log y)) x)))) |
(fma.f64 (/.f64 (fma.f64 (-.f64 (neg.f64 y) #s(literal 1/2 binary64)) (log.f64 y) y) x) x x) |
x |
(* x (- (+ 1 (/ y x)) (/ (* y (log y)) x))) |
(fma.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y) x) x x) |
(* x (- (+ 1 (/ y x)) (/ (* y (log y)) x))) |
(fma.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y) x) x x) |
(* x (- (+ 1 (/ y x)) (/ (* y (log y)) x))) |
(fma.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y) x) x x) |
x |
(* x (- (+ 1 (/ y x)) (+ (* 1/2 (/ (log y) x)) (+ (/ z x) (/ (* y (log y)) x))))) |
(fma.f64 (/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x) x x) |
(* x (- (+ 1 (/ y x)) (+ (* 1/2 (/ (log y) x)) (+ (/ z x) (/ (* y (log y)) x))))) |
(fma.f64 (/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x) x x) |
(* x (- (+ 1 (/ y x)) (+ (* 1/2 (/ (log y) x)) (+ (/ z x) (/ (* y (log y)) x))))) |
(fma.f64 (/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x) x x) |
x |
(* x (+ 1 (/ y x))) |
(fma.f64 (/.f64 y x) x x) |
(* x (+ 1 (/ y x))) |
(fma.f64 (/.f64 y x) x x) |
(* x (+ 1 (/ y x))) |
(fma.f64 (/.f64 y x) x x) |
x |
(* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x)))) |
(fma.f64 (/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x) x x) |
(* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x)))) |
(fma.f64 (/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x) x x) |
(* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x)))) |
(fma.f64 (/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x) x x) |
x |
(* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x)))) |
(fma.f64 (/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x) x x) |
(* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x)))) |
(fma.f64 (/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x) x x) |
(* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x)))) |
(fma.f64 (/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x) x x) |
x |
(* x (- (+ 1 (/ y x)) (/ (* (log y) (+ 1/2 y)) x))) |
(fma.f64 (/.f64 (fma.f64 (-.f64 (neg.f64 y) #s(literal 1/2 binary64)) (log.f64 y) y) x) x x) |
(* x (- (+ 1 (/ y x)) (/ (* (log y) (+ 1/2 y)) x))) |
(fma.f64 (/.f64 (fma.f64 (-.f64 (neg.f64 y) #s(literal 1/2 binary64)) (log.f64 y) y) x) x x) |
(* x (- (+ 1 (/ y x)) (/ (* (log y) (+ 1/2 y)) x))) |
(fma.f64 (/.f64 (fma.f64 (-.f64 (neg.f64 y) #s(literal 1/2 binary64)) (log.f64 y) y) x) x x) |
x |
(* x (+ 1 (* -1/2 (/ (log y) x)))) |
(*.f64 (fma.f64 (/.f64 (log.f64 y) x) #s(literal -1/2 binary64) #s(literal 1 binary64)) x) |
(* x (+ 1 (* -1/2 (/ (log y) x)))) |
(*.f64 (fma.f64 (/.f64 (log.f64 y) x) #s(literal -1/2 binary64) #s(literal 1 binary64)) x) |
(* x (+ 1 (* -1/2 (/ (log y) x)))) |
(*.f64 (fma.f64 (/.f64 (log.f64 y) x) #s(literal -1/2 binary64) #s(literal 1 binary64)) x) |
x |
(* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x)))) |
(fma.f64 (/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x) x x) |
(* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x)))) |
(fma.f64 (/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x) x x) |
(* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x)))) |
(fma.f64 (/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x) x x) |
x |
(* x (+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x)))) |
(*.f64 (fma.f64 (-.f64 (neg.f64 y) #s(literal 1/2 binary64)) (/.f64 (log.f64 y) x) #s(literal 1 binary64)) x) |
(* x (+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x)))) |
(*.f64 (fma.f64 (-.f64 (neg.f64 y) #s(literal 1/2 binary64)) (/.f64 (log.f64 y) x) #s(literal 1 binary64)) x) |
(* x (+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x)))) |
(*.f64 (fma.f64 (-.f64 (neg.f64 y) #s(literal 1/2 binary64)) (/.f64 (log.f64 y) x) #s(literal 1 binary64)) x) |
x |
(* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x)))) |
(fma.f64 (/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x) x x) |
(* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x)))) |
(fma.f64 (/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x) x x) |
(* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x)))) |
(fma.f64 (/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x) x x) |
x |
(* x (- (+ 1 (/ y x)) (/ (* (log y) (+ 1/2 y)) x))) |
(fma.f64 (/.f64 (fma.f64 (-.f64 (neg.f64 y) #s(literal 1/2 binary64)) (log.f64 y) y) x) x x) |
(* x (- (+ 1 (/ y x)) (/ (* (log y) (+ 1/2 y)) x))) |
(fma.f64 (/.f64 (fma.f64 (-.f64 (neg.f64 y) #s(literal 1/2 binary64)) (log.f64 y) y) x) x x) |
(* x (- (+ 1 (/ y x)) (/ (* (log y) (+ 1/2 y)) x))) |
(fma.f64 (/.f64 (fma.f64 (-.f64 (neg.f64 y) #s(literal 1/2 binary64)) (log.f64 y) y) x) x x) |
x |
(* -1 (* x (- (* -1 (/ (- y (+ (* 1/2 (log y)) (* y (log y)))) x)) 1))) |
(fma.f64 (/.f64 (fma.f64 (-.f64 (neg.f64 y) #s(literal 1/2 binary64)) (log.f64 y) y) x) x x) |
(* -1 (* x (- (* -1 (/ (- y (+ (* 1/2 (log y)) (* y (log y)))) x)) 1))) |
(fma.f64 (/.f64 (fma.f64 (-.f64 (neg.f64 y) #s(literal 1/2 binary64)) (log.f64 y) y) x) x x) |
(* -1 (* x (- (* -1 (/ (- y (+ (* 1/2 (log y)) (* y (log y)))) x)) 1))) |
(fma.f64 (/.f64 (fma.f64 (-.f64 (neg.f64 y) #s(literal 1/2 binary64)) (log.f64 y) y) x) x x) |
x |
(* -1 (* x (- (* -1 (/ (- y (* y (log y))) x)) 1))) |
(fma.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y) x) x x) |
(* -1 (* x (- (* -1 (/ (- y (* y (log y))) x)) 1))) |
(fma.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y) x) x x) |
(* -1 (* x (- (* -1 (/ (- y (* y (log y))) x)) 1))) |
(fma.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y) x) x x) |
x |
(* -1 (* x (- (* -1 (/ (- y (+ z (+ (* 1/2 (log y)) (* y (log y))))) x)) 1))) |
(fma.f64 (/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x) x x) |
(* -1 (* x (- (* -1 (/ (- y (+ z (+ (* 1/2 (log y)) (* y (log y))))) x)) 1))) |
(fma.f64 (/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x) x x) |
(* -1 (* x (- (* -1 (/ (- y (+ z (+ (* 1/2 (log y)) (* y (log y))))) x)) 1))) |
(fma.f64 (/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x) x x) |
x |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(fma.f64 (/.f64 y x) x x) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(fma.f64 (/.f64 y x) x x) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(fma.f64 (/.f64 y x) x x) |
x |
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1))) |
(fma.f64 (/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x) x x) |
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1))) |
(fma.f64 (/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x) x x) |
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1))) |
(fma.f64 (/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x) x x) |
x |
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1))) |
(fma.f64 (/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x) x x) |
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1))) |
(fma.f64 (/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x) x x) |
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1))) |
(fma.f64 (/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x) x x) |
x |
(* -1 (* x (- (* -1 (/ (- y (* (log y) (+ 1/2 y))) x)) 1))) |
(fma.f64 (/.f64 (fma.f64 (-.f64 (neg.f64 y) #s(literal 1/2 binary64)) (log.f64 y) y) x) x x) |
(* -1 (* x (- (* -1 (/ (- y (* (log y) (+ 1/2 y))) x)) 1))) |
(fma.f64 (/.f64 (fma.f64 (-.f64 (neg.f64 y) #s(literal 1/2 binary64)) (log.f64 y) y) x) x x) |
(* -1 (* x (- (* -1 (/ (- y (* (log y) (+ 1/2 y))) x)) 1))) |
(fma.f64 (/.f64 (fma.f64 (-.f64 (neg.f64 y) #s(literal 1/2 binary64)) (log.f64 y) y) x) x x) |
x |
(* -1 (* x (- (* 1/2 (/ (log y) x)) 1))) |
(*.f64 (fma.f64 (/.f64 (log.f64 y) x) #s(literal -1/2 binary64) #s(literal 1 binary64)) x) |
(* -1 (* x (- (* 1/2 (/ (log y) x)) 1))) |
(*.f64 (fma.f64 (/.f64 (log.f64 y) x) #s(literal -1/2 binary64) #s(literal 1 binary64)) x) |
(* -1 (* x (- (* 1/2 (/ (log y) x)) 1))) |
(*.f64 (fma.f64 (/.f64 (log.f64 y) x) #s(literal -1/2 binary64) #s(literal 1 binary64)) x) |
x |
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1))) |
(fma.f64 (/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x) x x) |
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1))) |
(fma.f64 (/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x) x x) |
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1))) |
(fma.f64 (/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x) x x) |
x |
(* -1 (* x (- (/ (* (log y) (+ 1/2 y)) x) 1))) |
(*.f64 (fma.f64 (-.f64 (neg.f64 y) #s(literal 1/2 binary64)) (/.f64 (log.f64 y) x) #s(literal 1 binary64)) x) |
(* -1 (* x (- (/ (* (log y) (+ 1/2 y)) x) 1))) |
(*.f64 (fma.f64 (-.f64 (neg.f64 y) #s(literal 1/2 binary64)) (/.f64 (log.f64 y) x) #s(literal 1 binary64)) x) |
(* -1 (* x (- (/ (* (log y) (+ 1/2 y)) x) 1))) |
(*.f64 (fma.f64 (-.f64 (neg.f64 y) #s(literal 1/2 binary64)) (/.f64 (log.f64 y) x) #s(literal 1 binary64)) x) |
x |
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1))) |
(fma.f64 (/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x) x x) |
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1))) |
(fma.f64 (/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x) x x) |
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1))) |
(fma.f64 (/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x) x x) |
x |
(* -1 (* x (- (* -1 (/ (- y (* (log y) (+ 1/2 y))) x)) 1))) |
(fma.f64 (/.f64 (fma.f64 (-.f64 (neg.f64 y) #s(literal 1/2 binary64)) (log.f64 y) y) x) x x) |
(* -1 (* x (- (* -1 (/ (- y (* (log y) (+ 1/2 y))) x)) 1))) |
(fma.f64 (/.f64 (fma.f64 (-.f64 (neg.f64 y) #s(literal 1/2 binary64)) (log.f64 y) y) x) x x) |
(* -1 (* x (- (* -1 (/ (- y (* (log y) (+ 1/2 y))) x)) 1))) |
(fma.f64 (/.f64 (fma.f64 (-.f64 (neg.f64 y) #s(literal 1/2 binary64)) (log.f64 y) y) x) x x) |
| 5 456× | lower-*.f32 |
| 5 452× | lower-*.f64 |
| 3 660× | lower-fma.f32 |
| 3 656× | lower-fma.f64 |
| 3 142× | lower-/.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 191 |
| 0 | 53 | 193 |
| 1 | 297 | 173 |
| 2 | 2968 | 173 |
| 0 | 8604 | 173 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (-.f64 (+.f64 y x) (*.f64 (log.f64 y) y)) (*.f64 (log.f64 y) #s(literal 1/2 binary64))) |
(-.f64 (+.f64 y x) (*.f64 (log.f64 y) y)) |
(-.f64 (-.f64 (-.f64 (+.f64 y x) (*.f64 (log.f64 y) y)) (*.f64 (log.f64 y) #s(literal 1/2 binary64))) z) |
(+.f64 y x) |
#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 #s(literal -1/2 binary64) (log.f64 y) x)) z) |
#s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) |
(fma.f64 #s(literal -1/2 binary64) (log.f64 y) x) |
(log.f64 y) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z))) |
(-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) |
(fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z) |
(+.f64 #s(literal 1/2 binary64) y) |
(/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) y))) |
(-.f64 x (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) y)))) |
(-.f64 (+.f64 (-.f64 x (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) y)))) y) z) |
(+.f64 (-.f64 x (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) y)))) y) |
(*.f64 (log.f64 y) y) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) y)) |
| Outputs |
|---|
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 y) (fma.f64 (neg.f64 y) (log.f64 y) (+.f64 x y))) (-.f64 (+.f64 x y) (*.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (log.f64 y) (fma.f64 (neg.f64 y) (log.f64 y) (+.f64 x y))))) |
(*.f64 (-.f64 (pow.f64 (fma.f64 (neg.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)))) |
(*.f64 (-.f64 (pow.f64 (fma.f64 (neg.f64 y) (log.f64 y) (+.f64 x y)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 y)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 y)) (fma.f64 #s(literal 1/2 binary64) (log.f64 y) (fma.f64 (neg.f64 y) (log.f64 y) (+.f64 x y))) (pow.f64 (fma.f64 (neg.f64 y) (log.f64 y) (+.f64 x y)) #s(literal 2 binary64))))) |
(*.f64 (fma.f64 (*.f64 y y) y (pow.f64 (fma.f64 (neg.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 (neg.f64 (log.f64 y)) (+.f64 #s(literal 1/2 binary64) y) x)) (pow.f64 (fma.f64 (neg.f64 (log.f64 y)) (+.f64 #s(literal 1/2 binary64) y) x) #s(literal 2 binary64))))) |
(pow.f64 (/.f64 (-.f64 x (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) y)) (-.f64 (pow.f64 (fma.f64 (neg.f64 (log.f64 y)) (+.f64 #s(literal 1/2 binary64) y) x) #s(literal 2 binary64)) (*.f64 y y))) #s(literal -1 binary64)) |
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(fma.f64 (log.f64 y) #s(literal -1/2 binary64) (fma.f64 (neg.f64 y) (log.f64 y) (+.f64 x y))) |
(-.f64 (/.f64 (pow.f64 (fma.f64 (neg.f64 (log.f64 y)) (+.f64 #s(literal 1/2 binary64) y) x) #s(literal 2 binary64)) (-.f64 x (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) y))) (/.f64 (*.f64 y y) (-.f64 x (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) y)))) |
(-.f64 (/.f64 (pow.f64 (fma.f64 (neg.f64 y) (log.f64 y) (+.f64 x y)) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (log.f64 y) (fma.f64 (neg.f64 y) (log.f64 y) (+.f64 x y)))) (/.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 y)) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (log.f64 y) (fma.f64 (neg.f64 y) (log.f64 y) (+.f64 x y))))) |
(-.f64 (/.f64 (pow.f64 (fma.f64 (neg.f64 y) (log.f64 y) (+.f64 x y)) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 y)) (fma.f64 #s(literal 1/2 binary64) (log.f64 y) (fma.f64 (neg.f64 y) (log.f64 y) (+.f64 x y))) (pow.f64 (fma.f64 (neg.f64 y) (log.f64 y) (+.f64 x y)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 y)) (fma.f64 #s(literal 1/2 binary64) (log.f64 y) (fma.f64 (neg.f64 y) (log.f64 y) (+.f64 x y))) (pow.f64 (fma.f64 (neg.f64 y) (log.f64 y) (+.f64 x y)) #s(literal 2 binary64))))) |
(-.f64 (fma.f64 (neg.f64 y) (log.f64 y) (+.f64 x y)) (*.f64 #s(literal 1/2 binary64) (log.f64 y))) |
(-.f64 (+.f64 x y) (-.f64 (*.f64 (log.f64 y) y) (*.f64 #s(literal -1/2 binary64) (log.f64 y)))) |
(-.f64 (+.f64 x y) (*.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y))) |
(-.f64 x (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) (neg.f64 y))) |
(+.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 y)) (fma.f64 (neg.f64 y) (log.f64 y) (+.f64 x y))) |
(+.f64 (fma.f64 (neg.f64 (log.f64 y)) (+.f64 #s(literal 1/2 binary64) y) x) y) |
(+.f64 (fma.f64 (neg.f64 y) (log.f64 y) (+.f64 x y)) (*.f64 #s(literal -1/2 binary64) (log.f64 y))) |
(+.f64 (+.f64 x y) (-.f64 (*.f64 (neg.f64 y) (log.f64 y)) (*.f64 #s(literal 1/2 binary64) (log.f64 y)))) |
(+.f64 (+.f64 x y) (fma.f64 (neg.f64 y) (log.f64 y) (*.f64 #s(literal -1/2 binary64) (log.f64 y)))) |
(+.f64 (+.f64 x y) (*.f64 (neg.f64 (log.f64 y)) (+.f64 #s(literal 1/2 binary64) y))) |
(+.f64 x (fma.f64 (neg.f64 (log.f64 y)) (+.f64 #s(literal 1/2 binary64) y) y)) |
(+.f64 x (neg.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) (neg.f64 y)))) |
(+.f64 x (-.f64 y (*.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y)))) |
(+.f64 y (-.f64 (-.f64 x (*.f64 (log.f64 y) y)) (*.f64 #s(literal 1/2 binary64) (log.f64 y)))) |
(+.f64 y (+.f64 (-.f64 x (*.f64 (log.f64 y) y)) (*.f64 #s(literal -1/2 binary64) (log.f64 y)))) |
(+.f64 y (fma.f64 (neg.f64 (log.f64 y)) (+.f64 #s(literal 1/2 binary64) y) x)) |
(*.f64 (log.f64 y) y) |
(*.f64 y (log.f64 y)) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -1/4 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1/2 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -1/4 binary64))) (-.f64 y #s(literal 1/2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 y y))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 y y))) (-.f64 #s(literal 1/2 binary64) y)) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) y #s(literal 1/8 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) y)))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) y #s(literal 1/8 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (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 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) y #s(literal 1/8 binary64))) (fma.f64 y (-.f64 y #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) y))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) y)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) y))) |
(pow.f64 (exp.f64 (log.f64 (+.f64 #s(literal 1/2 binary64) y))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) y) (+.f64 #s(literal 1/2 binary64) y)) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 1/2 binary64) y))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) y)) #s(literal 1 binary64)) |
(pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (+.f64 #s(literal 1/2 binary64) y))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (+.f64 #s(literal 1/2 binary64) y)))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) y)) |
(neg.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) y))) |
(exp.f64 (*.f64 (log.f64 (+.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64))) |
Compiled 42 460 to 2 587 computations (93.9% saved)
18 alts after pruning (15 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 383 | 13 | 1 396 |
| Fresh | 4 | 2 | 6 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 389 | 18 | 1 407 |
| Status | Accuracy | Program |
|---|---|---|
| 76.7% | (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))) | |
| 59.7% | (-.f64 (/.f64 (fma.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) y)) (*.f64 (-.f64 y x) (log.f64 y))) (*.f64 (-.f64 y x) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) y)))) z) | |
| ▶ | 99.4% | (-.f64 (+.f64 (-.f64 x (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) #s(literal -1 binary64)))))) y) z) |
| 88.4% | (-.f64 (+.f64 #s(approx (- x (/ (log y) (/ 1 (+ 1/2 y)))) (*.f64 (fma.f64 (-.f64 (neg.f64 y) #s(literal 1/2 binary64)) (/.f64 (log.f64 y) x) #s(literal 1 binary64)) x)) y) z) | |
| 56.7% | (-.f64 #s(approx (- (- (+ y x) (* (log y) y)) (* (log y) 1/2)) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) z) | |
| ✓ | 71.7% | (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z) |
| 42.2% | (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) #s(approx (+ (* -1/2 (log y)) x) (*.f64 #s(literal -1/2 binary64) (log.f64 y)))) z) | |
| ▶ | 29.8% | #s(approx (- (- (- (+ y x) (* (log y) y)) (* (log y) 1/2)) z) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) |
| 73.1% | #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))) | |
| 6.6% | #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))))) | |
| ▶ | 12.1% | #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))) |
| ✓ | 69.4% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z))) |
| 69.0% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y (fma.f64 (*.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) #s(literal -1 binary64))) (log.f64 y) z))) | |
| 41.1% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y (fma.f64 #s(approx (+ 1/2 y) #s(literal 1/2 binary64)) (log.f64 y) z))) | |
| ▶ | 60.9% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y #s(approx (+ (* (+ 1/2 y) (log y)) z) (*.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (/.f64 (log.f64 y) z) #s(literal 1 binary64)) z)))) |
| 29.8% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y #s(approx (+ (* (+ 1/2 y) (log y)) z) (*.f64 (log.f64 y) y)))) | |
| ✓ | 29.0% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z)) |
| ▶ | 42.8% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (- y (+ (* (+ 1/2 y) (log y)) z)) (fma.f64 (-.f64 (neg.f64 y) #s(literal 1/2 binary64)) (log.f64 y) y))) |
Compiled 556 to 329 computations (40.8% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (+ (* (+ 1/2 y) (log y)) z) (*.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (/.f64 (log.f64 y) z) #s(literal 1 binary64)) z)) | |
| cost-diff | 0 | (-.f64 y #s(approx (+ (* (+ 1/2 y) (log y)) z) (*.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (/.f64 (log.f64 y) z) #s(literal 1 binary64)) z))) | |
| cost-diff | 0 | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y #s(approx (+ (* (+ 1/2 y) (log y)) z) (*.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (/.f64 (log.f64 y) z) #s(literal 1 binary64)) z)))) | |
| cost-diff | 1024 | (*.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (/.f64 (log.f64 y) z) #s(literal 1 binary64)) z) | |
| cost-diff | 0 | (fma.f64 (-.f64 (neg.f64 y) #s(literal 1/2 binary64)) (log.f64 y) y) | |
| cost-diff | 0 | #s(approx (- y (+ (* (+ 1/2 y) (log y)) z)) (fma.f64 (-.f64 (neg.f64 y) #s(literal 1/2 binary64)) (log.f64 y) y)) | |
| cost-diff | 0 | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (- y (+ (* (+ 1/2 y) (log y)) z)) (fma.f64 (-.f64 (neg.f64 y) #s(literal 1/2 binary64)) (log.f64 y) y))) | |
| cost-diff | 128 | (-.f64 (neg.f64 y) #s(literal 1/2 binary64)) | |
| 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 (- (- (- (+ y x) (* (log y) y)) (* (log y) 1/2)) 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 | 128 | (-.f64 x (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) #s(literal -1 binary64)))))) | |
| cost-diff | 1088 | (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) #s(literal -1 binary64))))) | |
| cost-diff | 5760 | (pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) #s(literal -1 binary64)) | |
| cost-diff | 14848 | (*.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) #s(literal -1 binary64))) |
| 11 566× | lower-fma.f32 |
| 11 562× | lower-fma.f64 |
| 2 400× | lower-*.f32 |
| 2 392× | lower-*.f64 |
| 1 468× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 53 | 407 |
| 0 | 80 | 358 |
| 1 | 165 | 347 |
| 2 | 403 | 329 |
| 3 | 1047 | 305 |
| 4 | 2710 | 305 |
| 5 | 5753 | 283 |
| 0 | 8240 | 275 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (+.f64 (-.f64 x (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) #s(literal -1 binary64)))))) y) z) |
(+.f64 (-.f64 x (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) #s(literal -1 binary64)))))) y) |
(-.f64 x (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) #s(literal -1 binary64)))))) |
x |
(/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) #s(literal -1 binary64))))) |
(log.f64 y) |
y |
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) |
#s(literal 1 binary64) |
(*.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) #s(literal -1 binary64))) |
(pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) #s(literal -1 binary64)) |
(pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) |
(+.f64 #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
#s(literal -1/2 binary64) |
#s(literal -1 binary64) |
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 (-.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 (- (- (- (+ y x) (* (log y) y)) (* (log y) 1/2)) 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 |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (- y (+ (* (+ 1/2 y) (log y)) z)) (fma.f64 (-.f64 (neg.f64 y) #s(literal 1/2 binary64)) (log.f64 y) y))) |
#s(approx (- y (+ (* (+ 1/2 y) (log y)) z)) (fma.f64 (-.f64 (neg.f64 y) #s(literal 1/2 binary64)) (log.f64 y) y)) |
(fma.f64 (-.f64 (neg.f64 y) #s(literal 1/2 binary64)) (log.f64 y) y) |
(-.f64 (neg.f64 y) #s(literal 1/2 binary64)) |
(neg.f64 y) |
y |
#s(literal 1/2 binary64) |
(log.f64 y) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y #s(approx (+ (* (+ 1/2 y) (log y)) z) (*.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (/.f64 (log.f64 y) z) #s(literal 1 binary64)) z)))) |
(-.f64 y #s(approx (+ (* (+ 1/2 y) (log y)) z) (*.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (/.f64 (log.f64 y) z) #s(literal 1 binary64)) z))) |
y |
#s(approx (+ (* (+ 1/2 y) (log y)) z) (*.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (/.f64 (log.f64 y) z) #s(literal 1 binary64)) z)) |
(*.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (/.f64 (log.f64 y) z) #s(literal 1 binary64)) z) |
(fma.f64 (+.f64 #s(literal 1/2 binary64) y) (/.f64 (log.f64 y) z) #s(literal 1 binary64)) |
(+.f64 #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
(/.f64 (log.f64 y) z) |
(log.f64 y) |
z |
#s(literal 1 binary64) |
| Outputs |
|---|
(-.f64 (+.f64 (-.f64 x (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) #s(literal -1 binary64)))))) y) z) |
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (-.f64 (+.f64 y x) z)) |
(+.f64 (-.f64 x (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) #s(literal -1 binary64)))))) y) |
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x)) |
(-.f64 x (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) #s(literal -1 binary64)))))) |
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x) |
x |
(/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) #s(literal -1 binary64))))) |
(*.f64 (-.f64 y #s(literal -1/2 binary64)) (log.f64 y)) |
(log.f64 y) |
y |
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (-.f64 y #s(literal -1/2 binary64))) |
#s(literal 1 binary64) |
(*.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) #s(literal -1 binary64))) |
(-.f64 y #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 y #s(literal -1/2 binary64)) #s(literal -1/2 binary64))) |
(pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) |
(pow.f64 (-.f64 y #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) |
(+.f64 #s(literal 1/2 binary64) y) |
(-.f64 y #s(literal -1/2 binary64)) |
#s(literal 1/2 binary64) |
#s(literal -1/2 binary64) |
#s(literal -1 binary64) |
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 (- (+ (- 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 (- (- (- (+ y x) (* (log y) y)) (* (log y) 1/2)) 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)) |
#s(literal 1 binary64) |
(log.f64 y) |
y |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (- y (+ (* (+ 1/2 y) (log y)) z)) (fma.f64 (-.f64 (neg.f64 y) #s(literal 1/2 binary64)) (log.f64 y) y))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (- y (+ (* (+ 1/2 y) (log y)) z)) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y))) |
#s(approx (- y (+ (* (+ 1/2 y) (log y)) z)) (fma.f64 (-.f64 (neg.f64 y) #s(literal 1/2 binary64)) (log.f64 y) y)) |
#s(approx (- y (+ (* (+ 1/2 y) (log y)) z)) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y)) |
(fma.f64 (-.f64 (neg.f64 y) #s(literal 1/2 binary64)) (log.f64 y) y) |
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y) |
(-.f64 (neg.f64 y) #s(literal 1/2 binary64)) |
(-.f64 #s(literal -1/2 binary64) y) |
(neg.f64 y) |
y |
#s(literal 1/2 binary64) |
(log.f64 y) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y #s(approx (+ (* (+ 1/2 y) (log y)) z) (*.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (/.f64 (log.f64 y) z) #s(literal 1 binary64)) z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y #s(approx (+ (* (+ 1/2 y) (log y)) z) (fma.f64 (-.f64 y #s(literal -1/2 binary64)) (log.f64 y) z)))) |
(-.f64 y #s(approx (+ (* (+ 1/2 y) (log y)) z) (*.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (/.f64 (log.f64 y) z) #s(literal 1 binary64)) z))) |
(-.f64 y #s(approx (+ (* (+ 1/2 y) (log y)) z) (fma.f64 (-.f64 y #s(literal -1/2 binary64)) (log.f64 y) z))) |
y |
#s(approx (+ (* (+ 1/2 y) (log y)) z) (*.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (/.f64 (log.f64 y) z) #s(literal 1 binary64)) z)) |
#s(approx (+ (* (+ 1/2 y) (log y)) z) (fma.f64 (-.f64 y #s(literal -1/2 binary64)) (log.f64 y) z)) |
(*.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (/.f64 (log.f64 y) z) #s(literal 1 binary64)) z) |
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) (log.f64 y) z) |
(fma.f64 (+.f64 #s(literal 1/2 binary64) y) (/.f64 (log.f64 y) z) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (log.f64 y) z) (-.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(+.f64 #s(literal 1/2 binary64) y) |
(-.f64 y #s(literal -1/2 binary64)) |
#s(literal 1/2 binary64) |
(/.f64 (log.f64 y) z) |
(log.f64 y) |
z |
#s(literal 1 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.09375 | (-.f64 y #s(approx (+ (* (+ 1/2 y) (log y)) z) (*.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (/.f64 (log.f64 y) z) #s(literal 1 binary64)) z))) | |
| accuracy | 0.26953125 | (/.f64 (log.f64 y) z) | |
| accuracy | 7.232755193638073 | (*.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (/.f64 (log.f64 y) z) #s(literal 1 binary64)) z) | |
| accuracy | 19.465336269274474 | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y #s(approx (+ (* (+ 1/2 y) (log y)) z) (*.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (/.f64 (log.f64 y) z) #s(literal 1 binary64)) z)))) | |
| accuracy | 0 | (log.f64 y) | |
| accuracy | 0.109375 | (fma.f64 (-.f64 (neg.f64 y) #s(literal 1/2 binary64)) (log.f64 y) y) | |
| accuracy | 19.465336269274474 | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (- y (+ (* (+ 1/2 y) (log y)) z)) (fma.f64 (-.f64 (neg.f64 y) #s(literal 1/2 binary64)) (log.f64 y) y))) | |
| accuracy | 21.203481930399274 | #s(approx (- y (+ (* (+ 1/2 y) (log y)) z)) (fma.f64 (-.f64 (neg.f64 y) #s(literal 1/2 binary64)) (log.f64 y) y)) | |
| accuracy | 0 | (log.f64 y) | |
| accuracy | 0.00390625 | (-.f64 #s(literal 1 binary64) (log.f64 y)) | |
| accuracy | 0.26171875 | (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y) | |
| accuracy | 44.833771082953625 | #s(approx (- (- (- (+ y x) (* (log y) y)) (* (log y) 1/2)) 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 | 29.120655226711595 | (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z)) | |
| accuracy | 45.224334489740194 | #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 | 0.09375 | (+.f64 (-.f64 x (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) #s(literal -1 binary64)))))) y) | |
| accuracy | 0.15625 | (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) #s(literal -1 binary64))))) | |
| accuracy | 0.6640625 | (pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) #s(literal -1 binary64)) | |
| accuracy | 0.7578125 | (*.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) #s(literal -1 binary64))) |
| 89.0ms | 255× | 0 | valid |
| 2.0ms | 1× | 5 | exit |
Compiled 319 to 48 computations (85% saved)
ival-mult: 18.0ms (25.9% of total)ival-add: 18.0ms (25.9% of total)ival-sub: 12.0ms (17.2% of total)ival-pow: 9.0ms (12.9% of total)ival-div: 7.0ms (10.1% of total)ival-log: 4.0ms (5.7% of total)adjust: 1.0ms (1.4% of total)exact: 1.0ms (1.4% of total)ival-neg: 1.0ms (1.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) #s(literal -1 binary64))) (patch (*.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) #s(literal -1 binary64))) #<representation binary64>) () ()) |
#s(alt (pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (patch (pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) #s(literal -1 binary64))))) (patch (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) #s(literal -1 binary64))))) #<representation binary64>) () ()) |
#s(alt (-.f64 x (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) #s(literal -1 binary64)))))) (patch (-.f64 x (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) #s(literal -1 binary64)))))) #<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 (- (- (- (+ y x) (* (log y) y)) (* (log y) 1/2)) z) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) (patch #s(approx (- (- (- (+ y x) (* (log y) y)) (* (log y) 1/2)) 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 (neg.f64 y) #s(literal 1/2 binary64)) (patch (-.f64 (neg.f64 y) #s(literal 1/2 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (- y (+ (* (+ 1/2 y) (log y)) z)) (fma.f64 (-.f64 (neg.f64 y) #s(literal 1/2 binary64)) (log.f64 y) y))) (patch #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (- y (+ (* (+ 1/2 y) (log y)) z)) (fma.f64 (-.f64 (neg.f64 y) #s(literal 1/2 binary64)) (log.f64 y) y))) #<representation binary64>) () ()) |
#s(alt #s(approx (- y (+ (* (+ 1/2 y) (log y)) z)) (fma.f64 (-.f64 (neg.f64 y) #s(literal 1/2 binary64)) (log.f64 y) y)) (patch #s(approx (- y (+ (* (+ 1/2 y) (log y)) z)) (fma.f64 (-.f64 (neg.f64 y) #s(literal 1/2 binary64)) (log.f64 y) y)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (-.f64 (neg.f64 y) #s(literal 1/2 binary64)) (log.f64 y) y) (patch (fma.f64 (-.f64 (neg.f64 y) #s(literal 1/2 binary64)) (log.f64 y) y) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (/.f64 (log.f64 y) z) #s(literal 1 binary64)) z) (patch (*.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (/.f64 (log.f64 y) z) #s(literal 1 binary64)) z) #<representation binary64>) () ()) |
#s(alt #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y #s(approx (+ (* (+ 1/2 y) (log y)) z) (*.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (/.f64 (log.f64 y) z) #s(literal 1 binary64)) z)))) (patch #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y #s(approx (+ (* (+ 1/2 y) (log y)) z) (*.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (/.f64 (log.f64 y) z) #s(literal 1 binary64)) z)))) #<representation binary64>) () ()) |
#s(alt (-.f64 y #s(approx (+ (* (+ 1/2 y) (log y)) z) (*.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (/.f64 (log.f64 y) z) #s(literal 1 binary64)) z))) (patch (-.f64 y #s(approx (+ (* (+ 1/2 y) (log y)) z) (*.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (/.f64 (log.f64 y) z) #s(literal 1 binary64)) z))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (+ 1/2 y) (log y)) z) (*.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (/.f64 (log.f64 y) z) #s(literal 1 binary64)) z)) (patch #s(approx (+ (* (+ 1/2 y) (log y)) z) (*.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (/.f64 (log.f64 y) z) #s(literal 1 binary64)) z)) #<representation binary64>) () ()) |
#s(alt (+.f64 (-.f64 x (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) #s(literal -1 binary64)))))) y) (patch (+.f64 (-.f64 x (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) #s(literal -1 binary64)))))) y) #<representation binary64>) () ()) |
#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation binary64>) () ()) |
#s(alt (/.f64 (log.f64 y) z) (patch (/.f64 (log.f64 y) z) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* -1 z) (taylor 0 z) (#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 (* -1 z) (taylor 0 z) (#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 (* -1 z) (taylor 0 z) (#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 (* -1 z) (taylor 0 z) (#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 z (taylor 0 z) (#s(alt (+.f64 #s(literal 0 binary64) z) (patch (+.f64 #s(literal 0 binary64) z) #<representation binary64>) () ())) ()) |
#s(alt z (taylor 0 z) (#s(alt (+.f64 #s(literal 0 binary64) z) (patch (+.f64 #s(literal 0 binary64) z) #<representation binary64>) () ())) ()) |
#s(alt z (taylor 0 z) (#s(alt (+.f64 #s(literal 0 binary64) z) (patch (+.f64 #s(literal 0 binary64) z) #<representation binary64>) () ())) ()) |
#s(alt z (taylor 0 z) (#s(alt (+.f64 #s(literal 0 binary64) z) (patch (+.f64 #s(literal 0 binary64) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (pow z 2)) (taylor 0 z) (#s(alt (-.f64 #s(literal 0 binary64) (*.f64 z z)) (patch (-.f64 #s(literal 0 binary64) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (pow z 2)) (taylor 0 z) (#s(alt (-.f64 #s(literal 0 binary64) (*.f64 z z)) (patch (-.f64 #s(literal 0 binary64) (*.f64 z z)) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1))) (taylor -inf x) (#s(alt #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y #s(approx (+ (* (+ 1/2 y) (log y)) z) (*.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (/.f64 (log.f64 y) z) #s(literal 1 binary64)) z)))) (patch #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y #s(approx (+ (* (+ 1/2 y) (log y)) z) (*.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (/.f64 (log.f64 y) z) #s(literal 1 binary64)) z)))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (+.f64 (-.f64 x (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) #s(literal -1 binary64)))))) y) (patch (+.f64 (-.f64 x (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) #s(literal -1 binary64)))))) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- y (* (log y) (+ 1/2 y))) x)) 1))) (taylor -inf x) (#s(alt (+.f64 (-.f64 x (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) #s(literal -1 binary64)))))) y) (patch (+.f64 (-.f64 x (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) #s(literal -1 binary64)))))) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- y (* (log y) (+ 1/2 y))) x)) 1))) (taylor -inf x) (#s(alt (+.f64 (-.f64 x (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) #s(literal -1 binary64)))))) y) (patch (+.f64 (-.f64 x (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) #s(literal -1 binary64)))))) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- y (* (log y) (+ 1/2 y))) x)) 1))) (taylor -inf x) (#s(alt (+.f64 (-.f64 x (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) #s(literal -1 binary64)))))) y) (patch (+.f64 (-.f64 x (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) #s(literal -1 binary64)))))) y) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 50.0ms | y | @ | -inf | ((* (pow (pow (+ 1/2 y) -1/2) -1) (pow (pow (+ 1/2 y) -1/2) -1)) (pow (pow (+ 1/2 y) -1/2) -1) (/ (log y) (/ 1 (* (pow (pow (+ 1/2 y) -1/2) -1) (pow (pow (+ 1/2 y) -1/2) -1)))) (- x (/ (log y) (/ 1 (* (pow (pow (+ 1/2 y) -1/2) -1) (pow (pow (+ 1/2 y) -1/2) -1))))) (/ (- 0 (* z z)) (+ 0 z)) (+ 0 z) (- 0 (* z z)) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (- (- (- (+ y x) (* (log y) y)) (* (log y) 1/2)) z) (* (- 1 (log y)) y) (- 1 (log y)) (log y) (- (neg y) 1/2) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (- y (+ (* (+ 1/2 y) (log y)) z)) (+ (* (- (neg y) 1/2) (log y)) y) (* (+ (* (+ 1/2 y) (/ (log y) z)) 1) z) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (- y (+ (* (+ 1/2 y) (log y)) z)) (+ (* (+ 1/2 y) (log y)) z) (+ (- x (/ (log y) (/ 1 (* (pow (pow (+ 1/2 y) -1/2) -1) (pow (pow (+ 1/2 y) -1/2) -1))))) y) (* z z) (/ (log y) z)) |
| 33.0ms | z | @ | inf | ((* (pow (pow (+ 1/2 y) -1/2) -1) (pow (pow (+ 1/2 y) -1/2) -1)) (pow (pow (+ 1/2 y) -1/2) -1) (/ (log y) (/ 1 (* (pow (pow (+ 1/2 y) -1/2) -1) (pow (pow (+ 1/2 y) -1/2) -1)))) (- x (/ (log y) (/ 1 (* (pow (pow (+ 1/2 y) -1/2) -1) (pow (pow (+ 1/2 y) -1/2) -1))))) (/ (- 0 (* z z)) (+ 0 z)) (+ 0 z) (- 0 (* z z)) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (- (- (- (+ y x) (* (log y) y)) (* (log y) 1/2)) z) (* (- 1 (log y)) y) (- 1 (log y)) (log y) (- (neg y) 1/2) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (- y (+ (* (+ 1/2 y) (log y)) z)) (+ (* (- (neg y) 1/2) (log y)) y) (* (+ (* (+ 1/2 y) (/ (log y) z)) 1) z) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (- y (+ (* (+ 1/2 y) (log y)) z)) (+ (* (+ 1/2 y) (log y)) z) (+ (- x (/ (log y) (/ 1 (* (pow (pow (+ 1/2 y) -1/2) -1) (pow (pow (+ 1/2 y) -1/2) -1))))) y) (* z z) (/ (log y) z)) |
| 14.0ms | z | @ | -inf | ((* (pow (pow (+ 1/2 y) -1/2) -1) (pow (pow (+ 1/2 y) -1/2) -1)) (pow (pow (+ 1/2 y) -1/2) -1) (/ (log y) (/ 1 (* (pow (pow (+ 1/2 y) -1/2) -1) (pow (pow (+ 1/2 y) -1/2) -1)))) (- x (/ (log y) (/ 1 (* (pow (pow (+ 1/2 y) -1/2) -1) (pow (pow (+ 1/2 y) -1/2) -1))))) (/ (- 0 (* z z)) (+ 0 z)) (+ 0 z) (- 0 (* z z)) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (- (- (- (+ y x) (* (log y) y)) (* (log y) 1/2)) z) (* (- 1 (log y)) y) (- 1 (log y)) (log y) (- (neg y) 1/2) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (- y (+ (* (+ 1/2 y) (log y)) z)) (+ (* (- (neg y) 1/2) (log y)) y) (* (+ (* (+ 1/2 y) (/ (log y) z)) 1) z) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (- y (+ (* (+ 1/2 y) (log y)) z)) (+ (* (+ 1/2 y) (log y)) z) (+ (- x (/ (log y) (/ 1 (* (pow (pow (+ 1/2 y) -1/2) -1) (pow (pow (+ 1/2 y) -1/2) -1))))) y) (* z z) (/ (log y) z)) |
| 13.0ms | z | @ | 0 | ((* (pow (pow (+ 1/2 y) -1/2) -1) (pow (pow (+ 1/2 y) -1/2) -1)) (pow (pow (+ 1/2 y) -1/2) -1) (/ (log y) (/ 1 (* (pow (pow (+ 1/2 y) -1/2) -1) (pow (pow (+ 1/2 y) -1/2) -1)))) (- x (/ (log y) (/ 1 (* (pow (pow (+ 1/2 y) -1/2) -1) (pow (pow (+ 1/2 y) -1/2) -1))))) (/ (- 0 (* z z)) (+ 0 z)) (+ 0 z) (- 0 (* z z)) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (- (- (- (+ y x) (* (log y) y)) (* (log y) 1/2)) z) (* (- 1 (log y)) y) (- 1 (log y)) (log y) (- (neg y) 1/2) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (- y (+ (* (+ 1/2 y) (log y)) z)) (+ (* (- (neg y) 1/2) (log y)) y) (* (+ (* (+ 1/2 y) (/ (log y) z)) 1) z) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (- y (+ (* (+ 1/2 y) (log y)) z)) (+ (* (+ 1/2 y) (log y)) z) (+ (- x (/ (log y) (/ 1 (* (pow (pow (+ 1/2 y) -1/2) -1) (pow (pow (+ 1/2 y) -1/2) -1))))) y) (* z z) (/ (log y) z)) |
| 10.0ms | y | @ | 0 | ((* (pow (pow (+ 1/2 y) -1/2) -1) (pow (pow (+ 1/2 y) -1/2) -1)) (pow (pow (+ 1/2 y) -1/2) -1) (/ (log y) (/ 1 (* (pow (pow (+ 1/2 y) -1/2) -1) (pow (pow (+ 1/2 y) -1/2) -1)))) (- x (/ (log y) (/ 1 (* (pow (pow (+ 1/2 y) -1/2) -1) (pow (pow (+ 1/2 y) -1/2) -1))))) (/ (- 0 (* z z)) (+ 0 z)) (+ 0 z) (- 0 (* z z)) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (- (- (- (+ y x) (* (log y) y)) (* (log y) 1/2)) z) (* (- 1 (log y)) y) (- 1 (log y)) (log y) (- (neg y) 1/2) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (- y (+ (* (+ 1/2 y) (log y)) z)) (+ (* (- (neg y) 1/2) (log y)) y) (* (+ (* (+ 1/2 y) (/ (log y) z)) 1) z) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (- y (+ (* (+ 1/2 y) (log y)) z)) (+ (* (+ 1/2 y) (log y)) z) (+ (- x (/ (log y) (/ 1 (* (pow (pow (+ 1/2 y) -1/2) -1) (pow (pow (+ 1/2 y) -1/2) -1))))) y) (* z z) (/ (log y) z)) |
| 1× | egg-herbie |
| 13 718× | lower-fma.f64 |
| 13 718× | lower-fma.f32 |
| 5 098× | lower-+.f64 |
| 5 098× | lower-+.f32 |
| 3 960× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 316 | 5334 |
| 1 | 982 | 4910 |
| 2 | 3055 | 4609 |
| 0 | 8189 | 4299 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
z |
z |
z |
z |
(* -1 (pow z 2)) |
(* -1 (pow z 2)) |
(* -1 (pow z 2)) |
(* -1 (pow z 2)) |
(- (+ 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))) |
(- (+ x y) (+ (* 1/2 (log y)) (* y (log y)))) |
(- (+ x (+ y (* -1 z))) (+ (* 1/2 (log y)) (* y (log y)))) |
(- (+ x (+ y (* -1 z))) (+ (* 1/2 (log y)) (* y (log y)))) |
(- (+ x (+ y (* -1 z))) (+ (* 1/2 (log y)) (* y (log 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))) |
(- y (* (log y) (+ 1/2 y))) |
(- (+ y (* -1 z)) (* (log y) (+ 1/2 y))) |
(- (+ y (* -1 z)) (* (log y) (+ 1/2 y))) |
(- (+ y (* -1 z)) (* (log y) (+ 1/2 y))) |
(* (log y) (+ 1/2 y)) |
(+ z (* (log y) (+ 1/2 y))) |
(+ z (* (log y) (+ 1/2 y))) |
(+ z (* (log y) (+ 1/2 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))) |
(- y (* (log y) (+ 1/2 y))) |
(- (+ y (* -1 z)) (* (log y) (+ 1/2 y))) |
(- (+ y (* -1 z)) (* (log y) (+ 1/2 y))) |
(- (+ y (* -1 z)) (* (log y) (+ 1/2 y))) |
(* (log y) (+ 1/2 y)) |
(+ z (* (log y) (+ 1/2 y))) |
(+ z (* (log y) (+ 1/2 y))) |
(+ z (* (log y) (+ 1/2 y))) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(/ (log y) z) |
(/ (log y) z) |
(/ (log y) z) |
(/ (log y) z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
z |
z |
z |
z |
(* -1 (pow z 2)) |
(* -1 (pow z 2)) |
(* -1 (pow z 2)) |
(* -1 (pow z 2)) |
(* -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) |
(* z (- (+ (/ x z) (/ y z)) (+ 1 (+ (* 1/2 (/ (log y) z)) (/ (* y (log y)) z))))) |
(* z (- (+ (/ x z) (/ y z)) (+ 1 (+ (* 1/2 (/ (log y) z)) (/ (* y (log y)) z))))) |
(* z (- (+ (/ x z) (/ y z)) (+ 1 (+ (* 1/2 (/ (log y) z)) (/ (* y (log y)) z))))) |
(* -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) |
(* z (- (/ y z) (+ 1 (/ (* (log y) (+ 1/2 y)) z)))) |
(* z (- (/ y z) (+ 1 (/ (* (log y) (+ 1/2 y)) z)))) |
(* z (- (/ y z) (+ 1 (/ (* (log y) (+ 1/2 y)) z)))) |
z |
(* z (+ 1 (/ (* (log y) (+ 1/2 y)) z))) |
(* z (+ 1 (/ (* (log y) (+ 1/2 y)) z))) |
(* z (+ 1 (/ (* (log y) (+ 1/2 y)) z))) |
(* -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) |
(* z (- (/ y z) (+ 1 (/ (* (log y) (+ 1/2 y)) z)))) |
(* z (- (/ y z) (+ 1 (/ (* (log y) (+ 1/2 y)) z)))) |
(* z (- (/ y z) (+ 1 (/ (* (log y) (+ 1/2 y)) z)))) |
z |
(* z (+ 1 (/ (* (log y) (+ 1/2 y)) z))) |
(* z (+ 1 (/ (* (log y) (+ 1/2 y)) z))) |
(* z (+ 1 (/ (* (log y) (+ 1/2 y)) z))) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(/ (log y) z) |
(/ (log y) z) |
(/ (log y) z) |
(/ (log y) z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
z |
z |
z |
z |
(* -1 (pow z 2)) |
(* -1 (pow z 2)) |
(* -1 (pow z 2)) |
(* -1 (pow z 2)) |
(* -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))))) |
(* -1 z) |
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (+ (* 1/2 (log y)) (* y (log y)))) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (+ (* 1/2 (log y)) (* y (log y)))) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (+ (* 1/2 (log y)) (* y (log 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))))) |
(* -1 z) |
(* -1 (* z (+ 1 (* -1 (/ (- y (* (log y) (+ 1/2 y))) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (- y (* (log y) (+ 1/2 y))) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (- y (* (log y) (+ 1/2 y))) z))))) |
z |
(* -1 (* z (- (* -1 (/ (* (log y) (+ 1/2 y)) z)) 1))) |
(* -1 (* z (- (* -1 (/ (* (log y) (+ 1/2 y)) z)) 1))) |
(* -1 (* z (- (* -1 (/ (* (log y) (+ 1/2 y)) z)) 1))) |
(* -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))))) |
(* -1 z) |
(* -1 (* z (+ 1 (* -1 (/ (- y (* (log y) (+ 1/2 y))) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (- y (* (log y) (+ 1/2 y))) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (- y (* (log y) (+ 1/2 y))) z))))) |
z |
(* -1 (* z (- (* -1 (/ (* (log y) (+ 1/2 y)) z)) 1))) |
(* -1 (* z (- (* -1 (/ (* (log y) (+ 1/2 y)) z)) 1))) |
(* -1 (* z (- (* -1 (/ (* (log y) (+ 1/2 y)) z)) 1))) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(/ (log y) z) |
(/ (log y) z) |
(/ (log y) z) |
(/ (log y) z) |
1/2 |
(+ 1/2 y) |
(+ 1/2 y) |
(+ 1/2 y) |
(sqrt 1/2) |
(+ (sqrt 1/2) (* 1/2 (/ y (sqrt 1/2)))) |
(+ (sqrt 1/2) (* y (+ (* -1/8 (/ y (pow (sqrt 1/2) 3))) (* 1/2 (/ 1 (sqrt 1/2)))))) |
(+ (sqrt 1/2) (* y (+ (* y (- (* 1/16 (/ y (pow (sqrt 1/2) 5))) (* 1/8 (/ 1 (pow (sqrt 1/2) 3))))) (* 1/2 (/ 1 (sqrt 1/2)))))) |
(* 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))) |
(- 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))) |
(- 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)))) |
(- 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 (log y))) |
(* y (- 1 (log y))) |
(* y (- 1 (log y))) |
(* y (- 1 (log y))) |
(- 1 (log y)) |
(- 1 (log y)) |
(- 1 (log y)) |
(- 1 (log y)) |
(log y) |
(log y) |
(log y) |
(log y) |
-1/2 |
(- (* -1 y) 1/2) |
(- (* -1 y) 1/2) |
(- (* -1 y) 1/2) |
(- 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)))) |
(* -1 (+ z (* 1/2 (log y)))) |
(- (* y (- 1 (log y))) (+ z (* 1/2 (log y)))) |
(- (* y (- 1 (log y))) (+ z (* 1/2 (log y)))) |
(- (* y (- 1 (log y))) (+ z (* 1/2 (log y)))) |
(* -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))))) |
(* z (+ 1 (* 1/2 (/ (log y) z)))) |
(+ (* y (log y)) (* z (+ 1 (* 1/2 (/ (log y) z))))) |
(+ (* y (log y)) (* z (+ 1 (* 1/2 (/ (log y) z))))) |
(+ (* y (log y)) (* z (+ 1 (* 1/2 (/ (log y) z))))) |
(- 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)))) |
(* -1 (+ z (* 1/2 (log y)))) |
(- (* y (- 1 (log y))) (+ z (* 1/2 (log y)))) |
(- (* y (- 1 (log y))) (+ z (* 1/2 (log y)))) |
(- (* y (- 1 (log y))) (+ z (* 1/2 (log y)))) |
(+ z (* 1/2 (log y))) |
(+ z (+ (* 1/2 (log y)) (* y (log y)))) |
(+ z (+ (* 1/2 (log y)) (* y (log y)))) |
(+ z (+ (* 1/2 (log y)) (* y (log y)))) |
(- 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))) |
(/ (log y) z) |
(/ (log y) z) |
(/ (log y) z) |
(/ (log y) z) |
y |
(* y (+ 1 (* 1/2 (/ 1 y)))) |
(* y (+ 1 (* 1/2 (/ 1 y)))) |
(* y (+ 1 (* 1/2 (/ 1 y)))) |
(sqrt y) |
(* y (+ (sqrt (/ 1 y)) (* 1/4 (sqrt (/ 1 (pow y 3)))))) |
(* y (+ (sqrt (/ 1 y)) (+ (* -1/32 (sqrt (/ 1 (pow y 5)))) (* 1/4 (sqrt (/ 1 (pow y 3))))))) |
(* y (+ (sqrt (/ 1 y)) (+ (* -1/32 (sqrt (/ 1 (pow y 5)))) (+ (* 1/128 (sqrt (/ 1 (pow y 7)))) (* 1/4 (sqrt (/ 1 (pow y 3)))))))) |
(* -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 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))))) |
(* 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 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 y))))) |
(* y (- 1 (* -1 (log (/ 1 y))))) |
(* y (- 1 (* -1 (log (/ 1 y))))) |
(* y (- 1 (* -1 (log (/ 1 y))))) |
(- 1 (* -1 (log (/ 1 y)))) |
(- 1 (* -1 (log (/ 1 y)))) |
(- 1 (* -1 (log (/ 1 y)))) |
(- 1 (* -1 (log (/ 1 y)))) |
(* -1 (log (/ 1 y))) |
(* -1 (log (/ 1 y))) |
(* -1 (log (/ 1 y))) |
(* -1 (log (/ 1 y))) |
(* -1 y) |
(* -1 (* y (+ 1 (* 1/2 (/ 1 y))))) |
(* -1 (* y (+ 1 (* 1/2 (/ 1 y))))) |
(* -1 (* y (+ 1 (* 1/2 (/ 1 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 y))))) |
(* y (- (+ 1 (* -1 (/ (+ z (* -1/2 (log (/ 1 y)))) y))) (* -1 (log (/ 1 y))))) |
(* y (- (+ 1 (* -1 (/ (+ z (* -1/2 (log (/ 1 y)))) y))) (* -1 (log (/ 1 y))))) |
(* y (- (+ 1 (* -1 (/ (+ z (* -1/2 (log (/ 1 y)))) y))) (* -1 (log (/ 1 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 y)))) |
(* y (+ (* -1 (log (/ 1 y))) (/ (* z (+ 1 (* -1/2 (/ (log (/ 1 y)) z)))) y))) |
(* y (+ (* -1 (log (/ 1 y))) (/ (* z (+ 1 (* -1/2 (/ (log (/ 1 y)) z)))) y))) |
(* y (+ (* -1 (log (/ 1 y))) (/ (* z (+ 1 (* -1/2 (/ (log (/ 1 y)) z)))) 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 y))))) |
(* y (- (+ 1 (* -1 (/ (+ z (* -1/2 (log (/ 1 y)))) y))) (* -1 (log (/ 1 y))))) |
(* y (- (+ 1 (* -1 (/ (+ z (* -1/2 (log (/ 1 y)))) y))) (* -1 (log (/ 1 y))))) |
(* y (- (+ 1 (* -1 (/ (+ z (* -1/2 (log (/ 1 y)))) y))) (* -1 (log (/ 1 y))))) |
(* -1 (* y (log (/ 1 y)))) |
(* y (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y)))) |
(* y (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y)))) |
(* y (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z 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))))) |
(* -1 (/ (log (/ 1 y)) z)) |
(* -1 (/ (log (/ 1 y)) z)) |
(* -1 (/ (log (/ 1 y)) z)) |
(* -1 (/ (log (/ 1 y)) z)) |
y |
(* y (+ 1 (* 1/2 (/ 1 y)))) |
(* y (+ 1 (* 1/2 (/ 1 y)))) |
(* y (+ 1 (* 1/2 (/ 1 y)))) |
(* -1 (* (sqrt y) (pow (sqrt -1) 2))) |
(* -1 (* y (+ (* 1/4 (sqrt (/ 1 (pow y 3)))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))) |
(* -1 (* y (+ (* -1/32 (* (sqrt (/ 1 (pow y 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/4 (sqrt (/ 1 (pow y 3)))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))) |
(* -1 (* y (+ (* -1/32 (* (sqrt (/ 1 (pow y 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/128 (* (sqrt (/ 1 (pow y 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/4 (sqrt (/ 1 (pow y 3)))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))))) |
(* 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 (* 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 (+ 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))))))))) |
(* 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))))))))) |
(* 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)))))) |
(- 1 (+ (log -1) (* -1 (log (/ -1 y))))) |
(- 1 (+ (log -1) (* -1 (log (/ -1 y))))) |
(- 1 (+ (log -1) (* -1 (log (/ -1 y))))) |
(- 1 (+ (log -1) (* -1 (log (/ -1 y))))) |
(+ (log -1) (* -1 (log (/ -1 y)))) |
(+ (log -1) (* -1 (log (/ -1 y)))) |
(+ (log -1) (* -1 (log (/ -1 y)))) |
(+ (log -1) (* -1 (log (/ -1 y)))) |
(* -1 y) |
(* -1 (* y (+ 1 (* 1/2 (/ 1 y))))) |
(* -1 (* y (+ 1 (* 1/2 (/ 1 y))))) |
(* -1 (* y (+ 1 (* 1/2 (/ 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))))))))) |
(* -1 (* y (- (* -1 (/ (- x (+ z (* 1/2 (+ (log -1) (* -1 (log (/ -1 y))))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))))) |
(* y (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))) |
(* -1 (* y (- (+ (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y)) (/ z y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))))) |
(* -1 (* y (- (+ (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y)) (/ z y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))))) |
(* -1 (* y (- (+ (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y)) (/ z y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 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))) |
(* y (+ (log -1) (* -1 (log (/ -1 y))))) |
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1 (/ (* z (+ 1 (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) z)))) y))))) |
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1 (/ (* z (+ 1 (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) z)))) y))))) |
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1 (/ (* z (+ 1 (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 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))))))))) |
(* y (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))) |
(* -1 (* y (- (+ (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y)) (/ z y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))))) |
(* -1 (* y (- (+ (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y)) (/ z y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))))) |
(* -1 (* y (- (+ (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y)) (/ z y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))))) |
(* y (+ (log -1) (* -1 (log (/ -1 y))))) |
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1 (/ (+ z (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y))))) |
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1 (/ (+ z (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y))))) |
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1 (/ (+ z (* 1/2 (+ (log -1) (* -1 (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))))))))) |
(/ (+ (log -1) (* -1 (log (/ -1 y)))) z) |
(/ (+ (log -1) (* -1 (log (/ -1 y)))) z) |
(/ (+ (log -1) (* -1 (log (/ -1 y)))) z) |
(/ (+ (log -1) (* -1 (log (/ -1 y)))) z) |
(* -1 (* (log y) (+ 1/2 y))) |
(- x (* (log y) (+ 1/2 y))) |
(- x (* (log y) (+ 1/2 y))) |
(- x (* (log y) (+ 1/2 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)))) |
(- y (+ z (+ (* 1/2 (log y)) (* y (log y))))) |
(- (+ x y) (+ z (+ (* 1/2 (log y)) (* y (log y))))) |
(- (+ x y) (+ z (+ (* 1/2 (log y)) (* y (log y))))) |
(- (+ x y) (+ z (+ (* 1/2 (log y)) (* y (log 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)))) |
(- 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)))) |
(- 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 (* -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 |
(* 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 |
(* x (- (+ 1 (/ y x)) (+ (* 1/2 (/ (log y) x)) (+ (/ z x) (/ (* y (log y)) x))))) |
(* x (- (+ 1 (/ y x)) (+ (* 1/2 (/ (log y) x)) (+ (/ z x) (/ (* y (log y)) x))))) |
(* x (- (+ 1 (/ y x)) (+ (* 1/2 (/ (log y) x)) (+ (/ z x) (/ (* y (log y)) x))))) |
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 |
(* 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 |
(* 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 (- (/ (* (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 (* 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 |
(* -1 (* x (- (* -1 (/ (- y (+ z (+ (* 1/2 (log y)) (* y (log y))))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- y (+ z (+ (* 1/2 (log y)) (* y (log y))))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- y (+ z (+ (* 1/2 (log y)) (* y (log y))))) x)) 1))) |
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 |
(* -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 |
(* -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))) |
| Outputs |
|---|
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
z |
z |
z |
z |
(* -1 (pow z 2)) |
(*.f64 (neg.f64 z) z) |
(* -1 (pow z 2)) |
(*.f64 (neg.f64 z) z) |
(* -1 (pow z 2)) |
(*.f64 (neg.f64 z) z) |
(* -1 (pow z 2)) |
(*.f64 (neg.f64 z) z) |
(- (+ x y) (* (log y) (+ 1/2 y))) |
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x)) |
(- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y))) |
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (-.f64 (+.f64 y x) z)) |
(- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y))) |
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (-.f64 (+.f64 y x) z)) |
(- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y))) |
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (-.f64 (+.f64 y x) z)) |
(- (+ x y) (+ (* 1/2 (log y)) (* y (log y)))) |
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x)) |
(- (+ x (+ y (* -1 z))) (+ (* 1/2 (log y)) (* y (log y)))) |
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (-.f64 (+.f64 y x) z)) |
(- (+ x (+ y (* -1 z))) (+ (* 1/2 (log y)) (* y (log y)))) |
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (-.f64 (+.f64 y x) z)) |
(- (+ x (+ y (* -1 z))) (+ (* 1/2 (log y)) (* y (log y)))) |
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (-.f64 (+.f64 y x) z)) |
(- (+ x y) (* (log y) (+ 1/2 y))) |
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x)) |
(- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y))) |
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (-.f64 (+.f64 y x) z)) |
(- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y))) |
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (-.f64 (+.f64 y x) z)) |
(- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y))) |
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (-.f64 (+.f64 y x) z)) |
(- y (* (log y) (+ 1/2 y))) |
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(* -1 (* y (- (* -1 (/ (- x (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))))) |
(*.f64 (-.f64 (/.f64 x y) (fma.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 (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))))) |
(*.f64 (-.f64 (/.f64 x y) (fma.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) |
(/ (+ (log -1) (* -1 (log (/ -1 y)))) z) |
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) z) |
(/ (+ (log -1) (* -1 (log (/ -1 y)))) z) |
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) z) |
(/ (+ (log -1) (* -1 (log (/ -1 y)))) z) |
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) z) |
(/ (+ (log -1) (* -1 (log (/ -1 y)))) z) |
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) z) |
(* -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) |
(- 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)))) |
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (-.f64 (+.f64 y x) z)) |
(- (+ x y) (+ z (* (log y) (+ 1/2 y)))) |
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (-.f64 (+.f64 y x) z)) |
(- (+ x y) (+ z (* (log y) (+ 1/2 y)))) |
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (-.f64 (+.f64 y x) z)) |
(- y (+ z (+ (* 1/2 (log y)) (* y (log y))))) |
(-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) |
(- (+ x y) (+ z (+ (* 1/2 (log y)) (* y (log y))))) |
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (-.f64 (+.f64 y x) z)) |
(- (+ x y) (+ z (+ (* 1/2 (log y)) (* y (log y))))) |
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (-.f64 (+.f64 y x) z)) |
(- (+ x y) (+ z (+ (* 1/2 (log y)) (* y (log y))))) |
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (-.f64 (+.f64 y x) z)) |
(- 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)))) |
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (-.f64 (+.f64 y x) z)) |
(- (+ x y) (+ z (* (log y) (+ 1/2 y)))) |
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (-.f64 (+.f64 y x) z)) |
(- (+ x y) (+ z (* (log y) (+ 1/2 y)))) |
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (-.f64 (+.f64 y x) z)) |
(- 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)))) |
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (-.f64 (+.f64 y x) z)) |
(- (+ x y) (+ z (* (log y) (+ 1/2 y)))) |
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (-.f64 (+.f64 y x) z)) |
(- (+ x y) (+ z (* (log y) (+ 1/2 y)))) |
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (-.f64 (+.f64 y x) z)) |
(- 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 y x)) |
(- (+ x y) (* (log y) (+ 1/2 y))) |
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x)) |
(- (+ x y) (* (log y) (+ 1/2 y))) |
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x)) |
x |
(* x (+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x)))) |
(*.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (/.f64 (log.f64 y) x) #s(literal 1 binary64)) x) |
(* x (+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x)))) |
(*.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (/.f64 (log.f64 y) x) #s(literal 1 binary64)) x) |
(* x (+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x)))) |
(*.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (/.f64 (log.f64 y) x) #s(literal 1 binary64)) x) |
x |
(* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x)))) |
(fma.f64 (/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x) x x) |
(* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x)))) |
(fma.f64 (/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x) x x) |
(* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x)))) |
(fma.f64 (/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x) x x) |
x |
(* x (- (+ 1 (/ y x)) (+ (* 1/2 (/ (log y) x)) (+ (/ z x) (/ (* y (log y)) x))))) |
(fma.f64 (-.f64 (/.f64 (-.f64 y z) x) (*.f64 (/.f64 (log.f64 y) x) (+.f64 #s(literal 1/2 binary64) y))) x x) |
(* x (- (+ 1 (/ y x)) (+ (* 1/2 (/ (log y) x)) (+ (/ z x) (/ (* y (log y)) x))))) |
(fma.f64 (-.f64 (/.f64 (-.f64 y z) x) (*.f64 (/.f64 (log.f64 y) x) (+.f64 #s(literal 1/2 binary64) y))) x x) |
(* x (- (+ 1 (/ y x)) (+ (* 1/2 (/ (log y) x)) (+ (/ z x) (/ (* y (log y)) x))))) |
(fma.f64 (-.f64 (/.f64 (-.f64 y z) x) (*.f64 (/.f64 (log.f64 y) x) (+.f64 #s(literal 1/2 binary64) y))) x x) |
x |
(* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x)))) |
(fma.f64 (/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x) x x) |
(* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x)))) |
(fma.f64 (/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x) x x) |
(* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x)))) |
(fma.f64 (/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x) x x) |
x |
(* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x)))) |
(fma.f64 (/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x) x x) |
(* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x)))) |
(fma.f64 (/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x) x x) |
(* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x)))) |
(fma.f64 (/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x) x x) |
x |
(* x (- (+ 1 (/ y x)) (/ (* (log y) (+ 1/2 y)) x))) |
(fma.f64 (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y) x) x x) |
(* x (- (+ 1 (/ y x)) (/ (* (log y) (+ 1/2 y)) x))) |
(fma.f64 (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y) x) x x) |
(* x (- (+ 1 (/ y x)) (/ (* (log y) (+ 1/2 y)) x))) |
(fma.f64 (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y) x) x x) |
x |
(* -1 (* x (- (/ (* (log y) (+ 1/2 y)) x) 1))) |
(*.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (/.f64 (log.f64 y) x) #s(literal 1 binary64)) x) |
(* -1 (* x (- (/ (* (log y) (+ 1/2 y)) x) 1))) |
(*.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (/.f64 (log.f64 y) x) #s(literal 1 binary64)) x) |
(* -1 (* x (- (/ (* (log y) (+ 1/2 y)) x) 1))) |
(*.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (/.f64 (log.f64 y) x) #s(literal 1 binary64)) x) |
x |
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x))) |
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x))) |
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1))) |
(*.f64 (neg.f64 x) (-.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 (+ (* 1/2 (log y)) (* y (log y))))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x))) |
(* -1 (* x (- (* -1 (/ (- y (+ z (+ (* 1/2 (log y)) (* y (log y))))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x))) |
(* -1 (* x (- (* -1 (/ (- y (+ z (+ (* 1/2 (log y)) (* y (log y))))) x)) 1))) |
(*.f64 (neg.f64 x) (-.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 x) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x))) |
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x))) |
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1))) |
(*.f64 (neg.f64 x) (-.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 x) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x))) |
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x))) |
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1))) |
(*.f64 (neg.f64 x) (-.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 (* (log y) (+ 1/2 y))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y) x))) |
(* -1 (* x (- (* -1 (/ (- y (* (log y) (+ 1/2 y))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y) x))) |
(* -1 (* x (- (* -1 (/ (- y (* (log y) (+ 1/2 y))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y) x))) |
| 3 878× | lower-fma.f32 |
| 3 874× | lower-fma.f64 |
| 3 210× | lower-*.f32 |
| 3 202× | lower-*.f64 |
| 2 694× | lower-pow.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 52 | 319 |
| 0 | 78 | 276 |
| 1 | 423 | 250 |
| 2 | 4036 | 242 |
| 0 | 8435 | 233 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) #s(literal -1 binary64))) |
(pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) #s(literal -1 binary64)) |
(/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) #s(literal -1 binary64))))) |
(-.f64 x (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) #s(literal -1 binary64)))))) |
(/.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 (- (- (- (+ y x) (* (log y) y)) (* (log y) 1/2)) 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 (neg.f64 y) #s(literal 1/2 binary64)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (- y (+ (* (+ 1/2 y) (log y)) z)) (fma.f64 (-.f64 (neg.f64 y) #s(literal 1/2 binary64)) (log.f64 y) y))) |
#s(approx (- y (+ (* (+ 1/2 y) (log y)) z)) (fma.f64 (-.f64 (neg.f64 y) #s(literal 1/2 binary64)) (log.f64 y) y)) |
(fma.f64 (-.f64 (neg.f64 y) #s(literal 1/2 binary64)) (log.f64 y) y) |
(*.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (/.f64 (log.f64 y) z) #s(literal 1 binary64)) z) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y #s(approx (+ (* (+ 1/2 y) (log y)) z) (*.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (/.f64 (log.f64 y) z) #s(literal 1 binary64)) z)))) |
(-.f64 y #s(approx (+ (* (+ 1/2 y) (log y)) z) (*.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (/.f64 (log.f64 y) z) #s(literal 1 binary64)) z))) |
#s(approx (+ (* (+ 1/2 y) (log y)) z) (*.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (/.f64 (log.f64 y) z) #s(literal 1 binary64)) z)) |
(+.f64 (-.f64 x (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) #s(literal -1 binary64)))))) y) |
(*.f64 z z) |
(/.f64 (log.f64 y) z) |
| Outputs |
|---|
(*.f64 (pow.f64 (pow.f64 (+.f64 y #s(literal 1/2 binary64)) #s(literal -3/4 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 y #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (pow.f64 (+.f64 y #s(literal 1/2 binary64)) #s(literal 3/4 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (+.f64 y #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (+.f64 y #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (+.f64 y #s(literal 1/2 binary64)) #s(literal 3/4 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) y)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (fma.f64 y y #s(literal -1/4 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (fma.f64 (*.f64 y y) y #s(literal 1/8 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (fma.f64 (*.f64 y y) y #s(literal 1/8 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y (fma.f64 (neg.f64 y) #s(literal 1/2 binary64) #s(literal 1/4 binary64)))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (+.f64 y #s(literal 1/2 binary64)) #s(literal 3/4 binary64)) (pow.f64 (+.f64 y #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (+.f64 y #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (+.f64 y #s(literal 1/2 binary64)) #s(literal -3/4 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (+.f64 y #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (+.f64 y #s(literal 1/2 binary64)) #s(literal 3/4 binary64))) |
(*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) y))) |
(*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1/2 binary64)))) |
(*.f64 (fma.f64 (*.f64 y y) y #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))) |
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(*.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64))) |
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(/.f64 (-.f64 (pow.f64 (fma.f64 (neg.f64 y) (log.f64 y) (+.f64 x y)) #s(literal 3 binary64)) (*.f64 (pow.f64 (log.f64 y) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (fma.f64 (*.f64 (log.f64 y) #s(literal 1/2 binary64)) (fma.f64 (log.f64 y) #s(literal 1/2 binary64) (fma.f64 (neg.f64 y) (log.f64 y) (+.f64 x y))) (pow.f64 (fma.f64 (neg.f64 y) (log.f64 y) (+.f64 x y)) #s(literal 2 binary64)))) |
(/.f64 (fma.f64 (*.f64 y y) y (pow.f64 (fma.f64 (-.f64 (neg.f64 y) #s(literal 1/2 binary64)) (log.f64 y) x) #s(literal 3 binary64))) (fma.f64 y y (-.f64 (pow.f64 (fma.f64 (-.f64 (neg.f64 y) #s(literal 1/2 binary64)) (log.f64 y) x) #s(literal 2 binary64)) (*.f64 (fma.f64 (-.f64 (neg.f64 y) #s(literal 1/2 binary64)) (log.f64 y) x) y)))) |
(/.f64 (fma.f64 (*.f64 y y) y (pow.f64 (fma.f64 (-.f64 (neg.f64 y) #s(literal 1/2 binary64)) (log.f64 y) x) #s(literal 3 binary64))) (fma.f64 y (-.f64 y (fma.f64 (-.f64 (neg.f64 y) #s(literal 1/2 binary64)) (log.f64 y) x)) (pow.f64 (fma.f64 (-.f64 (neg.f64 y) #s(literal 1/2 binary64)) (log.f64 y) x) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) y)) (-.f64 (pow.f64 (fma.f64 (-.f64 (neg.f64 y) #s(literal 1/2 binary64)) (log.f64 y) x) #s(literal 2 binary64)) (*.f64 y y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (-.f64 y (fma.f64 (-.f64 (neg.f64 y) #s(literal 1/2 binary64)) (log.f64 y) x)) (pow.f64 (fma.f64 (-.f64 (neg.f64 y) #s(literal 1/2 binary64)) (log.f64 y) x) #s(literal 2 binary64))) (fma.f64 (*.f64 y y) y (pow.f64 (fma.f64 (-.f64 (neg.f64 y) #s(literal 1/2 binary64)) (log.f64 y) x) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (log.f64 y) #s(literal 1/2 binary64) (fma.f64 (neg.f64 y) (log.f64 y) (+.f64 x y))) (*.f64 (fma.f64 (log.f64 y) #s(literal 1/2 binary64) (fma.f64 (neg.f64 y) (log.f64 y) (+.f64 x y))) (+.f64 x (fma.f64 (-.f64 (neg.f64 y) #s(literal 1/2 binary64)) (log.f64 y) y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (log.f64 y) #s(literal 1/2 binary64)) (fma.f64 (log.f64 y) #s(literal 1/2 binary64) (fma.f64 (neg.f64 y) (log.f64 y) (+.f64 x y))) (pow.f64 (fma.f64 (neg.f64 y) (log.f64 y) (+.f64 x y)) #s(literal 2 binary64))) (-.f64 (pow.f64 (fma.f64 (neg.f64 y) (log.f64 y) (+.f64 x y)) #s(literal 3 binary64)) (*.f64 (pow.f64 (log.f64 y) #s(literal 3 binary64)) #s(literal 1/8 binary64))))) |
(fma.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) x)) y) |
(fma.f64 (-.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (pow.f64 (*.f64 (log.f64 y) y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 y) y (+.f64 x y))) (*.f64 (log.f64 y) #s(literal -1/2 binary64))) |
(fma.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (-.f64 y x)) (-.f64 (*.f64 (neg.f64 (log.f64 y)) y) (*.f64 (log.f64 y) #s(literal 1/2 binary64)))) |
(fma.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (-.f64 y x)) (*.f64 (neg.f64 (log.f64 y)) (+.f64 y #s(literal 1/2 binary64)))) |
(fma.f64 (-.f64 (*.f64 (*.f64 x x) x) (pow.f64 (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))) (fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) x) (*.f64 x x))) y) |
(fma.f64 (fma.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 x y) (neg.f64 (pow.f64 (*.f64 (log.f64 y) y) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (log.f64 y) y) (fma.f64 (log.f64 y) y (+.f64 x y)) (*.f64 (+.f64 x y) (+.f64 x y)))) (*.f64 (log.f64 y) #s(literal -1/2 binary64))) |
(fma.f64 (fma.f64 (*.f64 x x) x (*.f64 (*.f64 y y) y)) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y))) (-.f64 (*.f64 (neg.f64 (log.f64 y)) y) (*.f64 (log.f64 y) #s(literal 1/2 binary64)))) |
(fma.f64 (fma.f64 (*.f64 x x) x (*.f64 (*.f64 y y) y)) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y))) (*.f64 (neg.f64 (log.f64 y)) (+.f64 y #s(literal 1/2 binary64)))) |
(fma.f64 (neg.f64 (log.f64 y)) #s(literal 1/2 binary64) (fma.f64 (neg.f64 y) (log.f64 y) (+.f64 x y))) |
(fma.f64 (log.f64 y) #s(literal -1/2 binary64) (fma.f64 (neg.f64 y) (log.f64 y) (+.f64 x y))) |
(fma.f64 #s(literal -1 binary64) (*.f64 (log.f64 y) #s(literal 1/2 binary64)) (fma.f64 (neg.f64 y) (log.f64 y) (+.f64 x y))) |
(fma.f64 #s(literal -1/2 binary64) (log.f64 y) (fma.f64 (neg.f64 y) (log.f64 y) (+.f64 x y))) |
(fma.f64 #s(literal 1/2 binary64) (neg.f64 (log.f64 y)) (fma.f64 (neg.f64 y) (log.f64 y) (+.f64 x y))) |
(-.f64 (/.f64 (pow.f64 (fma.f64 (-.f64 (neg.f64 y) #s(literal 1/2 binary64)) (log.f64 y) x) #s(literal 2 binary64)) (-.f64 x (fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) y))) (/.f64 (*.f64 y y) (-.f64 x (fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) y)))) |
(-.f64 (/.f64 (pow.f64 (fma.f64 (neg.f64 y) (log.f64 y) (+.f64 x y)) #s(literal 2 binary64)) (fma.f64 (log.f64 y) #s(literal 1/2 binary64) (fma.f64 (neg.f64 y) (log.f64 y) (+.f64 x y)))) (/.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (fma.f64 (log.f64 y) #s(literal 1/2 binary64) (fma.f64 (neg.f64 y) (log.f64 y) (+.f64 x y))))) |
(-.f64 (/.f64 (pow.f64 (fma.f64 (neg.f64 y) (log.f64 y) (+.f64 x y)) #s(literal 3 binary64)) (fma.f64 (*.f64 (log.f64 y) #s(literal 1/2 binary64)) (fma.f64 (log.f64 y) #s(literal 1/2 binary64) (fma.f64 (neg.f64 y) (log.f64 y) (+.f64 x y))) (pow.f64 (fma.f64 (neg.f64 y) (log.f64 y) (+.f64 x y)) #s(literal 2 binary64)))) (/.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (*.f64 (log.f64 y) #s(literal 1/2 binary64)) (fma.f64 (log.f64 y) #s(literal 1/2 binary64) (fma.f64 (neg.f64 y) (log.f64 y) (+.f64 x y))) (pow.f64 (fma.f64 (neg.f64 y) (log.f64 y) (+.f64 x y)) #s(literal 2 binary64))))) |
(-.f64 (fma.f64 (neg.f64 y) (log.f64 y) (+.f64 x y)) (*.f64 (log.f64 y) #s(literal 1/2 binary64))) |
(-.f64 (+.f64 x y) (-.f64 (*.f64 (log.f64 y) y) (*.f64 (log.f64 y) #s(literal -1/2 binary64)))) |
(-.f64 (+.f64 x y) (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))) |
(-.f64 x (fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) (neg.f64 y))) |
(+.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64)) (fma.f64 (neg.f64 y) (log.f64 y) (+.f64 x y))) |
(+.f64 (fma.f64 (neg.f64 y) (log.f64 y) (+.f64 x y)) (*.f64 (log.f64 y) #s(literal -1/2 binary64))) |
(+.f64 (+.f64 x y) (-.f64 (*.f64 (neg.f64 (log.f64 y)) y) (*.f64 (log.f64 y) #s(literal 1/2 binary64)))) |
(+.f64 (+.f64 x y) (*.f64 (neg.f64 (log.f64 y)) (+.f64 y #s(literal 1/2 binary64)))) |
(+.f64 (fma.f64 (-.f64 (neg.f64 y) #s(literal 1/2 binary64)) (log.f64 y) x) y) |
(+.f64 x (neg.f64 (fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) (neg.f64 y)))) |
(+.f64 x (fma.f64 (-.f64 (neg.f64 y) #s(literal 1/2 binary64)) (log.f64 y) y)) |
(+.f64 y (-.f64 (-.f64 x (*.f64 (log.f64 y) y)) (*.f64 (log.f64 y) #s(literal 1/2 binary64)))) |
(+.f64 y (+.f64 (-.f64 x (*.f64 (log.f64 y) y)) (*.f64 (log.f64 y) #s(literal -1/2 binary64)))) |
(+.f64 y (fma.f64 (-.f64 (neg.f64 y) #s(literal 1/2 binary64)) (log.f64 y) x)) |
(*.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 z))) |
(*.f64 (pow.f64 (/.f64 (*.f64 z z) (*.f64 (neg.f64 z) z)) #s(literal 2 binary64)) (*.f64 (neg.f64 z) (neg.f64 z))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 z z) z) z)) |
(*.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))) |
(*.f64 (*.f64 (*.f64 (*.f64 z z) z) z) (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 2 binary64))) |
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 z z) z) z) (*.f64 z z)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal 2 binary64))) |
(*.f64 (*.f64 z z) (pow.f64 (/.f64 z z) #s(literal 2 binary64))) |
(*.f64 z (-.f64 z #s(literal 0 binary64))) |
(*.f64 z z) |
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 z) z)) |
(pow.f64 (exp.f64 (log.f64 z)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 z z) #s(literal 1 binary64)) |
(pow.f64 z #s(literal 2 binary64)) |
(/.f64 (*.f64 (*.f64 (neg.f64 z) z) z) (neg.f64 z)) |
(/.f64 (*.f64 z (*.f64 (neg.f64 z) z)) (neg.f64 z)) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 z z) z) z) #s(literal 0 binary64)) (*.f64 z z)) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 z z) z) z) (*.f64 z z)) #s(literal 0 binary64)) (*.f64 (*.f64 (*.f64 z z) z) z)) |
(/.f64 (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 (*.f64 z z) z) z) (*.f64 z z))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (*.f64 (*.f64 z z) z) z) #s(literal 0 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 (*.f64 z z) z) z))) (*.f64 z z)) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 z z) z) z) (*.f64 z z)))) (*.f64 (*.f64 (*.f64 z z) z) z)) |
(/.f64 (*.f64 (*.f64 (*.f64 z z) z) (*.f64 (neg.f64 z) z)) (*.f64 (*.f64 z z) (neg.f64 z))) |
(/.f64 (*.f64 (*.f64 (neg.f64 z) z) (*.f64 (*.f64 z z) z)) (*.f64 (neg.f64 z) (*.f64 z z))) |
(/.f64 (*.f64 (*.f64 (neg.f64 z) z) (*.f64 (neg.f64 z) z)) (*.f64 (neg.f64 z) (neg.f64 z))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 z z) z) z)) (*.f64 (neg.f64 z) z)) |
(/.f64 (*.f64 (*.f64 (*.f64 z z) z) z) (*.f64 z z)) |
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 z z) z) z) (*.f64 z z))) (neg.f64 (*.f64 (*.f64 (*.f64 z z) z) z))) |
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 z z) z) z) (*.f64 z z)) (*.f64 (*.f64 (*.f64 z z) z) z)) |
(neg.f64 (*.f64 (neg.f64 z) z)) |
(fma.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 z)) #s(literal 0 binary64)) |
(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 (*.f64 z z) 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 (*.f64 z z) z) z) (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) #s(literal 0 binary64)) |
(fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 z z) 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 (*.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)) |
(fma.f64 #s(literal -1 binary64) (*.f64 (neg.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 (/.f64 (log.f64 y) (*.f64 (*.f64 z z) z)) (*.f64 z z)) |
(*.f64 (/.f64 (log.f64 y) (*.f64 (neg.f64 z) z)) (neg.f64 z)) |
(*.f64 (/.f64 #s(literal 1 binary64) z) (log.f64 y)) |
(*.f64 (neg.f64 (log.f64 y)) (/.f64 #s(literal 1 binary64) (neg.f64 z))) |
(*.f64 #s(literal 1 binary64) (/.f64 (log.f64 y) z)) |
(*.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) z)) |
(pow.f64 (/.f64 (/.f64 z (log.f64 y)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 z (log.f64 y)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (log.f64 y))) z) |
(/.f64 (neg.f64 (log.f64 y)) (neg.f64 z)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z (log.f64 y)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 z (log.f64 y))) |
(/.f64 (log.f64 y) z) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 z (log.f64 y)))) |
(neg.f64 (/.f64 (neg.f64 (log.f64 y)) z)) |
(neg.f64 (/.f64 (log.f64 y) (neg.f64 z))) |
(exp.f64 (*.f64 (log.f64 (/.f64 z (log.f64 y))) #s(literal -1 binary64))) |
Compiled 20 534 to 2 720 computations (86.8% saved)
44 alts after pruning (39 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 054 | 34 | 1 088 |
| Fresh | 5 | 5 | 10 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 3 | 3 |
| Total | 1 062 | 44 | 1 106 |
| Status | Accuracy | Program |
|---|---|---|
| 76.7% | (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))) | |
| 59.7% | (-.f64 (/.f64 (fma.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) y)) (*.f64 (-.f64 y x) (log.f64 y))) (*.f64 (-.f64 y x) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) y)))) z) | |
| ▶ | 99.6% | (-.f64 (+.f64 (-.f64 x (*.f64 (*.f64 (log.f64 y) (sqrt.f64 (+.f64 y #s(literal 1/2 binary64)))) (sqrt.f64 (+.f64 y #s(literal 1/2 binary64))))) y) z) |
| 88.4% | (-.f64 (+.f64 #s(approx (- x (/ (log y) (/ 1 (* (pow (pow (+ 1/2 y) -1/2) -1) (pow (pow (+ 1/2 y) -1/2) -1))))) (*.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (/.f64 (log.f64 y) x) #s(literal 1 binary64)) x)) y) z) | |
| 56.7% | (-.f64 #s(approx (- (- (+ y x) (* (log y) y)) (* (log y) 1/2)) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) z) | |
| ✓ | 71.7% | (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z) |
| ▶ | 42.2% | (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) #s(approx (+ (* -1/2 (log y)) x) (*.f64 #s(literal -1/2 binary64) (log.f64 y)))) z) |
| 73.1% | #s(approx (- (- (- (+ y x) (* (log y) y)) (* (log y) 1/2)) z) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x))) | |
| 81.2% | #s(approx (- (- (- (+ y x) (* (log y) y)) (* (log y) 1/2)) z) (*.f64 (-.f64 (+.f64 (/.f64 y z) (/.f64 x z)) (fma.f64 (/.f64 (log.f64 y) z) (+.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64))) z)) | |
| ✓ | 29.8% | #s(approx (- (- (- (+ y x) (* (log y) y)) (* (log y) 1/2)) z) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) |
| 4.3% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (neg.f64 z) z) (*.f64 (neg.f64 z) z))) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z))) | |
| 1.8% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 z z) z)) (*.f64 (*.f64 z z) z))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (*.f64 (neg.f64 z) z) (*.f64 (neg.f64 z) z)) (*.f64 #s(literal 0 binary64) (*.f64 (neg.f64 z) z))))) (+.f64 #s(literal 0 binary64) z))) | |
| 4.3% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (*.f64 (neg.f64 z) (*.f64 (*.f64 z z) z)) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z))) | |
| 8.8% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (*.f64 (neg.f64 z) (*.f64 (neg.f64 z) z)) (neg.f64 z)) (+.f64 #s(literal 0 binary64) z))) | |
| ▶ | 4.3% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z z) (neg.f64 (*.f64 (*.f64 (*.f64 z z) z) z)))) (+.f64 #s(literal 0 binary64) z))) |
| 3.7% | #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))) | |
| 6.3% | #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)))) | |
| ▶ | 6.4% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 (*.f64 (*.f64 z z) z) (*.f64 z z)))) |
| 1.8% | #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 (*.f64 z z) z) z) (*.f64 z z))) (*.f64 (neg.f64 z) (*.f64 (*.f64 (*.f64 z z) z) z))))) | |
| 3.6% | #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) z) z)) (*.f64 (neg.f64 z) (*.f64 z z))))) | |
| 9.9% | #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))))) | |
| 12.1% | #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)))) | |
| 9.9% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 z z)))) | |
| 6.4% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (*.f64 (*.f64 (*.f64 z z) z) (/.f64 #s(literal 1 binary64) (*.f64 z z))))) | |
| 6.6% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (*.f64 z z) z) (*.f64 (neg.f64 z) z))) | |
| 1.8% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 z z) z) z) (*.f64 z z))) (/.f64 #s(literal 1 binary64) z)) (*.f64 (*.f64 (*.f64 z z) z) z))) | |
| 4.3% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 (*.f64 z z) z) z)) (/.f64 #s(literal 1 binary64) (*.f64 z z))) (+.f64 #s(literal 0 binary64) z))) | |
| 4.3% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 (*.f64 z z) z) z)) (/.f64 #s(literal 1 binary64) z)) (*.f64 z z))) | |
| ▶ | 12.1% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (neg.f64 z) z) z)) |
| 1.8% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 z z) z) z) (*.f64 z z))) (*.f64 z (*.f64 (*.f64 (*.f64 z z) z) z)))) | |
| 3.7% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 z z) z) z)) (*.f64 (*.f64 z z) z))) | |
| 28.9% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 z)))) | |
| ✓ | 69.4% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z))) |
| 28.5% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y #s(approx (+ (* (+ 1/2 y) (log y)) z) (/.f64 (*.f64 (fma.f64 (/.f64 (log.f64 y) z) (+.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 (neg.f64 z) z)) (neg.f64 z))))) | |
| ✓ | 60.9% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y #s(approx (+ (* (+ 1/2 y) (log y)) z) (*.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (/.f64 (log.f64 y) z) #s(literal 1 binary64)) z)))) |
| 60.9% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y #s(approx (+ (* (+ 1/2 y) (log y)) z) (*.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (*.f64 (/.f64 #s(literal 1 binary64) z) (log.f64 y)) #s(literal 1 binary64)) z)))) | |
| 29.8% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y #s(approx (+ (* (+ 1/2 y) (log y)) z) (*.f64 (log.f64 y) y)))) | |
| 6.4% | #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))) | |
| 12.1% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 (neg.f64 z) z))) | |
| ✓ | 29.0% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z)) |
| 42.8% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (- y (+ (* (+ 1/2 y) (log y)) z)) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y))) | |
| 42.4% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (- y (+ (* (+ 1/2 y) (log y)) z)) (fma.f64 (*.f64 (sqrt.f64 (+.f64 y #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 (+.f64 y #s(literal 1/2 binary64))))) (log.f64 y) y))) | |
| 15.2% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (- y (+ (* (+ 1/2 y) (log y)) z)) (fma.f64 #s(approx (- (neg y) 1/2) #s(literal -1/2 binary64)) (log.f64 y) y))) | |
| 16.0% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (- y (+ (* (+ 1/2 y) (log y)) z)) #s(approx (+ (* (- (neg y) 1/2) (log y)) y) (*.f64 #s(literal -1/2 binary64) (log.f64 y))))) |
Compiled 1 580 to 861 computations (45.5% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 #s(literal -1/2 binary64) (log.f64 y)) | |
| cost-diff | 0 | #s(approx (+ (* -1/2 (log y)) x) (*.f64 #s(literal -1/2 binary64) (log.f64 y))) | |
| cost-diff | 0 | #s(approx (+ (- x (* (+ y 1/2) (log y))) y) #s(approx (+ (* -1/2 (log y)) x) (*.f64 #s(literal -1/2 binary64) (log.f64 y)))) | |
| cost-diff | 0 | (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) #s(approx (+ (* -1/2 (log y)) x) (*.f64 #s(literal -1/2 binary64) (log.f64 y)))) z) | |
| cost-diff | 192 | (+.f64 #s(literal 0 binary64) z) | |
| cost-diff | 1024 | (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z z) (neg.f64 (*.f64 (*.f64 (*.f64 z z) z) z)))) (+.f64 #s(literal 0 binary64) z)) | |
| cost-diff | 1088 | (/.f64 (*.f64 z z) (neg.f64 (*.f64 (*.f64 (*.f64 z z) z) z))) | |
| cost-diff | 1280 | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z z) (neg.f64 (*.f64 (*.f64 (*.f64 z z) z) z)))) | |
| cost-diff | 0 | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 (*.f64 (*.f64 z z) 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 (*.f64 (*.f64 z z) z) (*.f64 z z))) | |
| cost-diff | 1664 | (/.f64 (*.f64 (*.f64 z z) z) (*.f64 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 (-.f64 x (*.f64 (*.f64 (log.f64 y) (sqrt.f64 (+.f64 y #s(literal 1/2 binary64)))) (sqrt.f64 (+.f64 y #s(literal 1/2 binary64))))) y) | |
| cost-diff | 0 | (-.f64 (+.f64 (-.f64 x (*.f64 (*.f64 (log.f64 y) (sqrt.f64 (+.f64 y #s(literal 1/2 binary64)))) (sqrt.f64 (+.f64 y #s(literal 1/2 binary64))))) y) z) | |
| cost-diff | 128 | (-.f64 x (*.f64 (*.f64 (log.f64 y) (sqrt.f64 (+.f64 y #s(literal 1/2 binary64)))) (sqrt.f64 (+.f64 y #s(literal 1/2 binary64))))) | |
| cost-diff | 1792 | (*.f64 (*.f64 (log.f64 y) (sqrt.f64 (+.f64 y #s(literal 1/2 binary64)))) (sqrt.f64 (+.f64 y #s(literal 1/2 binary64)))) |
| 17 784× | lower-fma.f64 |
| 17 784× | lower-fma.f32 |
| 3 104× | lower-*.f32 |
| 3 090× | lower-*.f64 |
| 1 912× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 349 |
| 0 | 68 | 290 |
| 1 | 140 | 240 |
| 2 | 439 | 219 |
| 3 | 1530 | 219 |
| 4 | 3548 | 219 |
| 5 | 7168 | 219 |
| 0 | 8266 | 208 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (+.f64 (-.f64 x (*.f64 (*.f64 (log.f64 y) (sqrt.f64 (+.f64 y #s(literal 1/2 binary64)))) (sqrt.f64 (+.f64 y #s(literal 1/2 binary64))))) y) z) |
(+.f64 (-.f64 x (*.f64 (*.f64 (log.f64 y) (sqrt.f64 (+.f64 y #s(literal 1/2 binary64)))) (sqrt.f64 (+.f64 y #s(literal 1/2 binary64))))) y) |
(-.f64 x (*.f64 (*.f64 (log.f64 y) (sqrt.f64 (+.f64 y #s(literal 1/2 binary64)))) (sqrt.f64 (+.f64 y #s(literal 1/2 binary64))))) |
x |
(*.f64 (*.f64 (log.f64 y) (sqrt.f64 (+.f64 y #s(literal 1/2 binary64)))) (sqrt.f64 (+.f64 y #s(literal 1/2 binary64)))) |
(*.f64 (log.f64 y) (sqrt.f64 (+.f64 y #s(literal 1/2 binary64)))) |
(log.f64 y) |
y |
(sqrt.f64 (+.f64 y #s(literal 1/2 binary64))) |
(+.f64 y #s(literal 1/2 binary64)) |
#s(literal 1/2 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 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 (*.f64 (*.f64 z z) z) (*.f64 z z)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 (*.f64 (*.f64 z z) z) (*.f64 z z))) |
(-.f64 #s(literal 0 binary64) (*.f64 z z)) |
#s(literal 0 binary64) |
(*.f64 z z) |
z |
(/.f64 (*.f64 (*.f64 z z) z) (*.f64 z z)) |
(*.f64 (*.f64 z z) z) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z z) (neg.f64 (*.f64 (*.f64 (*.f64 z z) z) z)))) (+.f64 #s(literal 0 binary64) z))) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z z) (neg.f64 (*.f64 (*.f64 (*.f64 z z) z) z)))) (+.f64 #s(literal 0 binary64) z)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z z) (neg.f64 (*.f64 (*.f64 (*.f64 z z) z) z)))) |
#s(literal 1 binary64) |
(/.f64 (*.f64 z z) (neg.f64 (*.f64 (*.f64 (*.f64 z z) z) z))) |
(*.f64 z z) |
z |
(neg.f64 (*.f64 (*.f64 (*.f64 z z) z) z)) |
(*.f64 (*.f64 (*.f64 z z) z) z) |
(*.f64 (*.f64 z z) z) |
(+.f64 #s(literal 0 binary64) z) |
#s(literal 0 binary64) |
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) #s(approx (+ (* -1/2 (log y)) x) (*.f64 #s(literal -1/2 binary64) (log.f64 y)))) z) |
#s(approx (+ (- x (* (+ y 1/2) (log y))) y) #s(approx (+ (* -1/2 (log y)) x) (*.f64 #s(literal -1/2 binary64) (log.f64 y)))) |
#s(approx (+ (* -1/2 (log y)) x) (*.f64 #s(literal -1/2 binary64) (log.f64 y))) |
(*.f64 #s(literal -1/2 binary64) (log.f64 y)) |
#s(literal -1/2 binary64) |
(log.f64 y) |
y |
z |
| Outputs |
|---|
(-.f64 (+.f64 (-.f64 x (*.f64 (*.f64 (log.f64 y) (sqrt.f64 (+.f64 y #s(literal 1/2 binary64)))) (sqrt.f64 (+.f64 y #s(literal 1/2 binary64))))) y) z) |
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (-.f64 (+.f64 y x) z)) |
(+.f64 (-.f64 x (*.f64 (*.f64 (log.f64 y) (sqrt.f64 (+.f64 y #s(literal 1/2 binary64)))) (sqrt.f64 (+.f64 y #s(literal 1/2 binary64))))) y) |
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x)) |
(-.f64 x (*.f64 (*.f64 (log.f64 y) (sqrt.f64 (+.f64 y #s(literal 1/2 binary64)))) (sqrt.f64 (+.f64 y #s(literal 1/2 binary64))))) |
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x) |
x |
(*.f64 (*.f64 (log.f64 y) (sqrt.f64 (+.f64 y #s(literal 1/2 binary64)))) (sqrt.f64 (+.f64 y #s(literal 1/2 binary64)))) |
(*.f64 (-.f64 y #s(literal -1/2 binary64)) (log.f64 y)) |
(*.f64 (log.f64 y) (sqrt.f64 (+.f64 y #s(literal 1/2 binary64)))) |
(*.f64 (sqrt.f64 (-.f64 y #s(literal -1/2 binary64))) (log.f64 y)) |
(log.f64 y) |
y |
(sqrt.f64 (+.f64 y #s(literal 1/2 binary64))) |
(sqrt.f64 (-.f64 y #s(literal -1/2 binary64))) |
(+.f64 y #s(literal 1/2 binary64)) |
(-.f64 y #s(literal -1/2 binary64)) |
#s(literal 1/2 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 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 (*.f64 (*.f64 z z) 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 (*.f64 (*.f64 z z) 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 (*.f64 (*.f64 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 1 binary64) (/.f64 (*.f64 z z) (neg.f64 (*.f64 (*.f64 (*.f64 z z) 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 1 binary64) (/.f64 (*.f64 z z) (neg.f64 (*.f64 (*.f64 (*.f64 z z) z) z)))) (+.f64 #s(literal 0 binary64) z)) |
(neg.f64 z) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z z) (neg.f64 (*.f64 (*.f64 (*.f64 z z) z) z)))) |
(*.f64 (neg.f64 z) z) |
#s(literal 1 binary64) |
(/.f64 (*.f64 z z) (neg.f64 (*.f64 (*.f64 (*.f64 z z) z) z))) |
(/.f64 #s(literal -1 binary64) (*.f64 z z)) |
(*.f64 z z) |
z |
(neg.f64 (*.f64 (*.f64 (*.f64 z z) z) z)) |
(*.f64 (*.f64 (*.f64 (neg.f64 z) z) z) z) |
(*.f64 (*.f64 (*.f64 z z) z) z) |
(*.f64 (*.f64 z z) z) |
(+.f64 #s(literal 0 binary64) z) |
z |
#s(literal 0 binary64) |
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) #s(approx (+ (* -1/2 (log y)) x) (*.f64 #s(literal -1/2 binary64) (log.f64 y)))) z) |
#s(approx (+ (- x (* (+ y 1/2) (log y))) y) #s(approx (+ (* -1/2 (log y)) x) (*.f64 #s(literal -1/2 binary64) (log.f64 y)))) |
#s(approx (+ (* -1/2 (log y)) x) (*.f64 #s(literal -1/2 binary64) (log.f64 y))) |
(*.f64 #s(literal -1/2 binary64) (log.f64 y)) |
#s(literal -1/2 binary64) |
(log.f64 y) |
y |
z |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (log.f64 y) | |
| accuracy | 0.010097509768442016 | (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) #s(approx (+ (* -1/2 (log y)) x) (*.f64 #s(literal -1/2 binary64) (log.f64 y)))) z) | |
| accuracy | 23.108898587893982 | #s(approx (+ (- x (* (+ y 1/2) (log y))) y) #s(approx (+ (* -1/2 (log y)) x) (*.f64 #s(literal -1/2 binary64) (log.f64 y)))) | |
| accuracy | 30.383741093412905 | #s(approx (+ (* -1/2 (log y)) x) (*.f64 #s(literal -1/2 binary64) (log.f64 y))) | |
| accuracy | 0.2555491161471963 | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z z) (neg.f64 (*.f64 (*.f64 (*.f64 z z) z) z)))) | |
| accuracy | 29.120655226711595 | (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z z) (neg.f64 (*.f64 (*.f64 (*.f64 z z) z) z)))) (+.f64 #s(literal 0 binary64) z)) | |
| accuracy | 45.46060807496214 | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z z) (neg.f64 (*.f64 (*.f64 (*.f64 z z) z) z)))) (+.f64 #s(literal 0 binary64) z))) | |
| accuracy | 46.98422578322897 | (/.f64 (*.f64 z z) (neg.f64 (*.f64 (*.f64 (*.f64 z z) z) z))) | |
| accuracy | 0.10546875 | (*.f64 (*.f64 z z) z) | |
| accuracy | 29.120655226711595 | (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 (*.f64 (*.f64 z z) z) (*.f64 z z))) | |
| accuracy | 40.78285482371793 | (/.f64 (*.f64 (*.f64 z z) z) (*.f64 z z)) | |
| accuracy | 45.46060807496214 | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 (*.f64 (*.f64 z z) z) (*.f64 z z)))) | |
| accuracy | 0 | (*.f64 (neg.f64 z) z) | |
| accuracy | 0 | (neg.f64 z) | |
| accuracy | 29.120655226711595 | (/.f64 (*.f64 (neg.f64 z) z) z) | |
| accuracy | 45.46060807496214 | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (neg.f64 z) z) z)) | |
| accuracy | 0.010097509768442016 | (-.f64 (+.f64 (-.f64 x (*.f64 (*.f64 (log.f64 y) (sqrt.f64 (+.f64 y #s(literal 1/2 binary64)))) (sqrt.f64 (+.f64 y #s(literal 1/2 binary64))))) y) z) | |
| accuracy | 0.09765625 | (+.f64 (-.f64 x (*.f64 (*.f64 (log.f64 y) (sqrt.f64 (+.f64 y #s(literal 1/2 binary64)))) (sqrt.f64 (+.f64 y #s(literal 1/2 binary64))))) y) | |
| accuracy | 0.38509750976844204 | (*.f64 (*.f64 (log.f64 y) (sqrt.f64 (+.f64 y #s(literal 1/2 binary64)))) (sqrt.f64 (+.f64 y #s(literal 1/2 binary64)))) | |
| accuracy | 0.4192962890737681 | (*.f64 (log.f64 y) (sqrt.f64 (+.f64 y #s(literal 1/2 binary64)))) |
| 65.0ms | 256× | 0 | valid |
Compiled 280 to 37 computations (86.8% saved)
ival-mult: 12.0ms (25.4% of total)ival-div: 10.0ms (21.2% of total)ival-sub: 10.0ms (21.2% of total)ival-add: 6.0ms (12.7% of total)ival-log: 5.0ms (10.6% of total)ival-sqrt: 2.0ms (4.2% of total)ival-neg: 2.0ms (4.2% of total)exact: 1.0ms (2.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 (*.f64 (log.f64 y) (sqrt.f64 (+.f64 y #s(literal 1/2 binary64)))) (sqrt.f64 (+.f64 y #s(literal 1/2 binary64)))) (patch (*.f64 (*.f64 (log.f64 y) (sqrt.f64 (+.f64 y #s(literal 1/2 binary64)))) (sqrt.f64 (+.f64 y #s(literal 1/2 binary64)))) #<representation binary64>) () ()) |
#s(alt (-.f64 x (*.f64 (*.f64 (log.f64 y) (sqrt.f64 (+.f64 y #s(literal 1/2 binary64)))) (sqrt.f64 (+.f64 y #s(literal 1/2 binary64))))) (patch (-.f64 x (*.f64 (*.f64 (log.f64 y) (sqrt.f64 (+.f64 y #s(literal 1/2 binary64)))) (sqrt.f64 (+.f64 y #s(literal 1/2 binary64))))) #<representation binary64>) () ()) |
#s(alt (-.f64 (+.f64 (-.f64 x (*.f64 (*.f64 (log.f64 y) (sqrt.f64 (+.f64 y #s(literal 1/2 binary64)))) (sqrt.f64 (+.f64 y #s(literal 1/2 binary64))))) y) z) (patch (-.f64 (+.f64 (-.f64 x (*.f64 (*.f64 (log.f64 y) (sqrt.f64 (+.f64 y #s(literal 1/2 binary64)))) (sqrt.f64 (+.f64 y #s(literal 1/2 binary64))))) y) z) #<representation binary64>) () ()) |
#s(alt (+.f64 (-.f64 x (*.f64 (*.f64 (log.f64 y) (sqrt.f64 (+.f64 y #s(literal 1/2 binary64)))) (sqrt.f64 (+.f64 y #s(literal 1/2 binary64))))) y) (patch (+.f64 (-.f64 x (*.f64 (*.f64 (log.f64 y) (sqrt.f64 (+.f64 y #s(literal 1/2 binary64)))) (sqrt.f64 (+.f64 y #s(literal 1/2 binary64))))) y) #<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 (*.f64 (*.f64 z z) z) (*.f64 z z)) (patch (/.f64 (*.f64 (*.f64 z z) z) (*.f64 z z)) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 (*.f64 (*.f64 z z) z) (*.f64 z z))) (patch (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 (*.f64 (*.f64 z z) 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 (*.f64 (*.f64 z z) 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 (*.f64 (*.f64 z z) z) (*.f64 z z)))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z z) (neg.f64 (*.f64 (*.f64 (*.f64 z z) z) z)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z z) (neg.f64 (*.f64 (*.f64 (*.f64 z z) z) z)))) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 z z) (neg.f64 (*.f64 (*.f64 (*.f64 z z) z) z))) (patch (/.f64 (*.f64 z z) (neg.f64 (*.f64 (*.f64 (*.f64 z z) z) z))) #<representation binary64>) () ()) |
#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z z) (neg.f64 (*.f64 (*.f64 (*.f64 z z) z) z)))) (+.f64 #s(literal 0 binary64) z)) (patch (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z z) (neg.f64 (*.f64 (*.f64 (*.f64 z z) 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(approx (+ (- x (* (+ y 1/2) (log y))) y) #s(approx (+ (* -1/2 (log y)) x) (*.f64 #s(literal -1/2 binary64) (log.f64 y)))) z) (patch (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) #s(approx (+ (* -1/2 (log y)) x) (*.f64 #s(literal -1/2 binary64) (log.f64 y)))) z) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (- x (* (+ y 1/2) (log y))) y) #s(approx (+ (* -1/2 (log y)) x) (*.f64 #s(literal -1/2 binary64) (log.f64 y)))) (patch #s(approx (+ (- x (* (+ y 1/2) (log y))) y) #s(approx (+ (* -1/2 (log y)) x) (*.f64 #s(literal -1/2 binary64) (log.f64 y)))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* -1/2 (log y)) x) (*.f64 #s(literal -1/2 binary64) (log.f64 y))) (patch #s(approx (+ (* -1/2 (log y)) x) (*.f64 #s(literal -1/2 binary64) (log.f64 y))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal -1/2 binary64) (log.f64 y)) (patch (*.f64 #s(literal -1/2 binary64) (log.f64 y)) #<representation binary64>) () ()) |
#s(alt (*.f64 (log.f64 y) (sqrt.f64 (+.f64 y #s(literal 1/2 binary64)))) (patch (*.f64 (log.f64 y) (sqrt.f64 (+.f64 y #s(literal 1/2 binary64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 z z) z) (patch (*.f64 (*.f64 z z) z) #<representation binary64>) () ()) |
#s(alt #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z z) (neg.f64 (*.f64 (*.f64 (*.f64 z z) z) z)))) (+.f64 #s(literal 0 binary64) z))) (patch #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z z) (neg.f64 (*.f64 (*.f64 (*.f64 z z) z) z)))) (+.f64 #s(literal 0 binary64) z))) #<representation binary64>) () ()) |
#s(alt (log.f64 y) (patch (log.f64 y) #<representation binary64>) () ()) |
| Outputs |
|---|
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#s(alt (- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y))) (taylor 0 z) (#s(alt (-.f64 (+.f64 (-.f64 x (*.f64 (*.f64 (log.f64 y) (sqrt.f64 (+.f64 y #s(literal 1/2 binary64)))) (sqrt.f64 (+.f64 y #s(literal 1/2 binary64))))) y) z) (patch (-.f64 (+.f64 (-.f64 x (*.f64 (*.f64 (log.f64 y) (sqrt.f64 (+.f64 y #s(literal 1/2 binary64)))) (sqrt.f64 (+.f64 y #s(literal 1/2 binary64))))) y) z) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (pow z 2)) (taylor 0 z) (#s(alt (*.f64 (neg.f64 z) z) (patch (*.f64 (neg.f64 z) z) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (pow z 2)) (taylor 0 z) (#s(alt (-.f64 #s(literal 0 binary64) (*.f64 z z)) (patch (-.f64 #s(literal 0 binary64) (*.f64 z z)) #<representation binary64>) () ())) ()) |
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#s(alt (- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y))) (taylor 0 z) (#s(alt #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 (*.f64 (*.f64 z z) 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 (*.f64 (*.f64 z z) z) (*.f64 z z)))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y))) (taylor 0 z) (#s(alt #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 (*.f64 (*.f64 z z) 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 (*.f64 (*.f64 z z) z) (*.f64 z z)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (pow z 2)) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z z) (neg.f64 (*.f64 (*.f64 (*.f64 z z) z) z)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z z) (neg.f64 (*.f64 (*.f64 (*.f64 z z) z) z)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (pow z 2)) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z z) (neg.f64 (*.f64 (*.f64 (*.f64 z z) z) z)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z z) (neg.f64 (*.f64 (*.f64 (*.f64 z z) z) z)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (pow z 2)) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z z) (neg.f64 (*.f64 (*.f64 (*.f64 z z) z) z)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z z) (neg.f64 (*.f64 (*.f64 (*.f64 z z) z) z)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (pow z 2)) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z z) (neg.f64 (*.f64 (*.f64 (*.f64 z z) z) z)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z z) (neg.f64 (*.f64 (*.f64 (*.f64 z z) z) z)))) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 (pow z 2)) (taylor 0 z) (#s(alt (/.f64 (*.f64 z z) (neg.f64 (*.f64 (*.f64 (*.f64 z z) z) z))) (patch (/.f64 (*.f64 z z) (neg.f64 (*.f64 (*.f64 (*.f64 z z) z) z))) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 (pow z 2)) (taylor 0 z) (#s(alt (/.f64 (*.f64 z z) (neg.f64 (*.f64 (*.f64 (*.f64 z z) z) z))) (patch (/.f64 (*.f64 z z) (neg.f64 (*.f64 (*.f64 (*.f64 z z) z) z))) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 (pow z 2)) (taylor 0 z) (#s(alt (/.f64 (*.f64 z z) (neg.f64 (*.f64 (*.f64 (*.f64 z z) z) z))) (patch (/.f64 (*.f64 z z) (neg.f64 (*.f64 (*.f64 (*.f64 z z) z) z))) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 (pow z 2)) (taylor 0 z) (#s(alt (/.f64 (*.f64 z z) (neg.f64 (*.f64 (*.f64 (*.f64 z z) z) z))) (patch (/.f64 (*.f64 z z) (neg.f64 (*.f64 (*.f64 (*.f64 z z) z) z))) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1))) (taylor -inf x) (#s(alt #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z z) (neg.f64 (*.f64 (*.f64 (*.f64 z z) z) z)))) (+.f64 #s(literal 0 binary64) z))) (patch #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z z) (neg.f64 (*.f64 (*.f64 (*.f64 z z) z) z)))) (+.f64 #s(literal 0 binary64) z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1))) (taylor -inf x) (#s(alt #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z z) (neg.f64 (*.f64 (*.f64 (*.f64 z z) z) z)))) (+.f64 #s(literal 0 binary64) z))) (patch #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z z) (neg.f64 (*.f64 (*.f64 (*.f64 z z) z) z)))) (+.f64 #s(literal 0 binary64) z))) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 32.0ms | y | @ | -inf | ((* (* (log y) (sqrt (+ y 1/2))) (sqrt (+ y 1/2))) (- x (* (* (log y) (sqrt (+ y 1/2))) (sqrt (+ y 1/2)))) (- (+ (- x (* (* (log y) (sqrt (+ y 1/2))) (sqrt (+ y 1/2)))) y) z) (+ (- x (* (* (log y) (sqrt (+ y 1/2))) (sqrt (+ y 1/2)))) y) (/ (* (neg z) z) z) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (* (neg z) z) (neg z) (/ (* (* z z) z) (* z z)) (/ (- 0 (* z z)) (/ (* (* z z) z) (* z z))) (- 0 (* z z)) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/ 1 (/ (* z z) (neg (* (* (* z z) z) z)))) (/ (* z z) (neg (* (* (* z z) z) z))) (/ (/ 1 (/ (* z z) (neg (* (* (* z z) z) z)))) (+ 0 z)) (+ 0 z) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+ (- x (* (+ y 1/2) (log y))) y) (+ (* -1/2 (log y)) x) (* -1/2 (log y)) (* (log y) (sqrt (+ y 1/2))) (* (* z z) z) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (log y)) |
| 8.0ms | y | @ | inf | ((* (* (log y) (sqrt (+ y 1/2))) (sqrt (+ y 1/2))) (- x (* (* (log y) (sqrt (+ y 1/2))) (sqrt (+ y 1/2)))) (- (+ (- x (* (* (log y) (sqrt (+ y 1/2))) (sqrt (+ y 1/2)))) y) z) (+ (- x (* (* (log y) (sqrt (+ y 1/2))) (sqrt (+ y 1/2)))) y) (/ (* (neg z) z) z) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (* (neg z) z) (neg z) (/ (* (* z z) z) (* z z)) (/ (- 0 (* z z)) (/ (* (* z z) z) (* z z))) (- 0 (* z z)) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/ 1 (/ (* z z) (neg (* (* (* z z) z) z)))) (/ (* z z) (neg (* (* (* z z) z) z))) (/ (/ 1 (/ (* z z) (neg (* (* (* z z) z) z)))) (+ 0 z)) (+ 0 z) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+ (- x (* (+ y 1/2) (log y))) y) (+ (* -1/2 (log y)) x) (* -1/2 (log y)) (* (log y) (sqrt (+ y 1/2))) (* (* z z) z) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (log y)) |
| 7.0ms | y | @ | 0 | ((* (* (log y) (sqrt (+ y 1/2))) (sqrt (+ y 1/2))) (- x (* (* (log y) (sqrt (+ y 1/2))) (sqrt (+ y 1/2)))) (- (+ (- x (* (* (log y) (sqrt (+ y 1/2))) (sqrt (+ y 1/2)))) y) z) (+ (- x (* (* (log y) (sqrt (+ y 1/2))) (sqrt (+ y 1/2)))) y) (/ (* (neg z) z) z) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (* (neg z) z) (neg z) (/ (* (* z z) z) (* z z)) (/ (- 0 (* z z)) (/ (* (* z z) z) (* z z))) (- 0 (* z z)) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/ 1 (/ (* z z) (neg (* (* (* z z) z) z)))) (/ (* z z) (neg (* (* (* z z) z) z))) (/ (/ 1 (/ (* z z) (neg (* (* (* z z) z) z)))) (+ 0 z)) (+ 0 z) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+ (- x (* (+ y 1/2) (log y))) y) (+ (* -1/2 (log y)) x) (* -1/2 (log y)) (* (log y) (sqrt (+ y 1/2))) (* (* z z) z) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (log y)) |
| 3.0ms | z | @ | 0 | ((* (* (log y) (sqrt (+ y 1/2))) (sqrt (+ y 1/2))) (- x (* (* (log y) (sqrt (+ y 1/2))) (sqrt (+ y 1/2)))) (- (+ (- x (* (* (log y) (sqrt (+ y 1/2))) (sqrt (+ y 1/2)))) y) z) (+ (- x (* (* (log y) (sqrt (+ y 1/2))) (sqrt (+ y 1/2)))) y) (/ (* (neg z) z) z) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (* (neg z) z) (neg z) (/ (* (* z z) z) (* z z)) (/ (- 0 (* z z)) (/ (* (* z z) z) (* z z))) (- 0 (* z z)) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/ 1 (/ (* z z) (neg (* (* (* z z) z) z)))) (/ (* z z) (neg (* (* (* z z) z) z))) (/ (/ 1 (/ (* z z) (neg (* (* (* z z) z) z)))) (+ 0 z)) (+ 0 z) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+ (- x (* (+ y 1/2) (log y))) y) (+ (* -1/2 (log y)) x) (* -1/2 (log y)) (* (log y) (sqrt (+ y 1/2))) (* (* z z) z) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (log y)) |
| 2.0ms | z | @ | -inf | ((* (* (log y) (sqrt (+ y 1/2))) (sqrt (+ y 1/2))) (- x (* (* (log y) (sqrt (+ y 1/2))) (sqrt (+ y 1/2)))) (- (+ (- x (* (* (log y) (sqrt (+ y 1/2))) (sqrt (+ y 1/2)))) y) z) (+ (- x (* (* (log y) (sqrt (+ y 1/2))) (sqrt (+ y 1/2)))) y) (/ (* (neg z) z) z) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (* (neg z) z) (neg z) (/ (* (* z z) z) (* z z)) (/ (- 0 (* z z)) (/ (* (* z z) z) (* z z))) (- 0 (* z z)) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/ 1 (/ (* z z) (neg (* (* (* z z) z) z)))) (/ (* z z) (neg (* (* (* z z) z) z))) (/ (/ 1 (/ (* z z) (neg (* (* (* z z) z) z)))) (+ 0 z)) (+ 0 z) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+ (- x (* (+ y 1/2) (log y))) y) (+ (* -1/2 (log y)) x) (* -1/2 (log y)) (* (log y) (sqrt (+ y 1/2))) (* (* z z) z) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (log y)) |
| 1× | egg-herbie |
| 9 962× | lower-fma.f64 |
| 9 962× | lower-fma.f32 |
| 3 924× | lower-*.f64 |
| 3 924× | lower-*.f32 |
| 3 328× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 236 | 5055 |
| 1 | 727 | 4674 |
| 2 | 2475 | 4427 |
| 3 | 7610 | 4427 |
| 0 | 8394 | 4219 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (+ 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) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(- (+ 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 (pow z 2)) |
(* -1 (pow z 2)) |
(* -1 (pow z 2)) |
(* -1 (pow z 2)) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
z |
z |
z |
z |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 (pow z 2)) |
(* -1 (pow z 2)) |
(* -1 (pow z 2)) |
(* -1 (pow z 2)) |
(- (+ 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 (pow z 2)) |
(* -1 (pow z 2)) |
(* -1 (pow z 2)) |
(* -1 (pow z 2)) |
(/ -1 (pow z 2)) |
(/ -1 (pow z 2)) |
(/ -1 (pow z 2)) |
(/ -1 (pow z 2)) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
z |
z |
z |
z |
(- (+ 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))) |
(pow z 3) |
(pow z 3) |
(pow z 3) |
(pow z 3) |
(- (+ 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 z) |
(* -1 z) |
(* -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 (pow z 2)) |
(* -1 (pow z 2)) |
(* -1 (pow z 2)) |
(* -1 (pow z 2)) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
z |
z |
z |
z |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 (pow z 2)) |
(* -1 (pow z 2)) |
(* -1 (pow z 2)) |
(* -1 (pow z 2)) |
(* -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 (pow z 2)) |
(* -1 (pow z 2)) |
(* -1 (pow z 2)) |
(* -1 (pow z 2)) |
(/ -1 (pow z 2)) |
(/ -1 (pow z 2)) |
(/ -1 (pow z 2)) |
(/ -1 (pow z 2)) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
z |
z |
z |
z |
(* -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)))) |
(pow z 3) |
(pow z 3) |
(pow z 3) |
(pow z 3) |
(* -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))))) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 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))))) |
(* -1 (pow z 2)) |
(* -1 (pow z 2)) |
(* -1 (pow z 2)) |
(* -1 (pow z 2)) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
z |
z |
z |
z |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 (pow z 2)) |
(* -1 (pow z 2)) |
(* -1 (pow z 2)) |
(* -1 (pow z 2)) |
(* -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))))) |
(* -1 (pow z 2)) |
(* -1 (pow z 2)) |
(* -1 (pow z 2)) |
(* -1 (pow z 2)) |
(/ -1 (pow z 2)) |
(/ -1 (pow z 2)) |
(/ -1 (pow z 2)) |
(/ -1 (pow z 2)) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
z |
z |
z |
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))))) |
(pow z 3) |
(pow z 3) |
(pow z 3) |
(pow z 3) |
(* -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))))) |
(* 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))) |
(- 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))) |
(- 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)))) |
(- 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))) |
(- 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)))) |
(- 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)))) |
(- 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)))) |
(- 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))) |
(+ x (* -1/2 (log y))) |
(+ x (* -1/2 (log y))) |
(+ x (* -1/2 (log y))) |
(+ x (* -1/2 (log y))) |
(* -1/2 (log y)) |
(* -1/2 (log y)) |
(* -1/2 (log y)) |
(* -1/2 (log y)) |
(* (log y) (sqrt 1/2)) |
(+ (* 1/2 (/ (* y (log y)) (sqrt 1/2))) (* (log y) (sqrt 1/2))) |
(+ (* y (+ (* -1/8 (/ (* y (log y)) (pow (sqrt 1/2) 3))) (* 1/2 (/ (log y) (sqrt 1/2))))) (* (log y) (sqrt 1/2))) |
(+ (* y (+ (* 1/2 (/ (log y) (sqrt 1/2))) (* y (+ (* -1/8 (/ (log y) (pow (sqrt 1/2) 3))) (* 1/16 (/ (* y (log y)) (pow (sqrt 1/2) 5))))))) (* (log y) (sqrt 1/2))) |
(- 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)))) |
(log y) |
(log y) |
(log 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 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))))) |
(* 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 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 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 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 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 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))))) |
(+ x (* 1/2 (log (/ 1 y)))) |
(+ x (* 1/2 (log (/ 1 y)))) |
(+ x (* 1/2 (log (/ 1 y)))) |
(+ x (* 1/2 (log (/ 1 y)))) |
(* 1/2 (log (/ 1 y))) |
(* 1/2 (log (/ 1 y))) |
(* 1/2 (log (/ 1 y))) |
(* 1/2 (log (/ 1 y))) |
(* -1 (* (sqrt y) (log (/ 1 y)))) |
(* y (+ (* -1 (* (sqrt (/ 1 y)) (log (/ 1 y)))) (* -1/4 (* (sqrt (/ 1 (pow y 3))) (log (/ 1 y)))))) |
(* y (+ (* -1 (* (sqrt (/ 1 y)) (log (/ 1 y)))) (+ (* -1/4 (* (sqrt (/ 1 (pow y 3))) (log (/ 1 y)))) (* 1/32 (* (sqrt (/ 1 (pow y 5))) (log (/ 1 y))))))) |
(* y (+ (* -1 (* (sqrt (/ 1 y)) (log (/ 1 y)))) (+ (* -1/4 (* (sqrt (/ 1 (pow y 3))) (log (/ 1 y)))) (+ (* -1/128 (* (sqrt (/ 1 (pow y 7))) (log (/ 1 y)))) (* 1/32 (* (sqrt (/ 1 (pow y 5))) (log (/ 1 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))))) |
(* -1 (log (/ 1 y))) |
(* -1 (log (/ 1 y))) |
(* -1 (log (/ 1 y))) |
(* -1 (log (/ 1 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 (* 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 (+ 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))))))))) |
(* 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))))))))) |
(* 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))))))))) |
(* 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))))))))) |
(* 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))))))))) |
(* 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))))))))) |
(+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) |
(+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) |
(+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) |
(+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) |
(* -1/2 (+ (log -1) (* -1 (log (/ -1 y))))) |
(* -1/2 (+ (log -1) (* -1 (log (/ -1 y))))) |
(* -1/2 (+ (log -1) (* -1 (log (/ -1 y))))) |
(* -1/2 (+ (log -1) (* -1 (log (/ -1 y))))) |
(* -1 (* (sqrt y) (* (pow (sqrt -1) 2) (+ (log -1) (* -1 (log (/ -1 y))))))) |
(* -1 (* y (+ (* 1/4 (* (sqrt (/ 1 (pow y 3))) (+ (log -1) (* -1 (log (/ -1 y)))))) (* (sqrt (/ 1 y)) (* (pow (sqrt -1) 2) (+ (log -1) (* -1 (log (/ -1 y))))))))) |
(* -1 (* y (+ (* -1/32 (* (sqrt (/ 1 (pow y 5))) (/ (+ (log -1) (* -1 (log (/ -1 y)))) (pow (sqrt -1) 2)))) (+ (* 1/4 (* (sqrt (/ 1 (pow y 3))) (+ (log -1) (* -1 (log (/ -1 y)))))) (* (sqrt (/ 1 y)) (* (pow (sqrt -1) 2) (+ (log -1) (* -1 (log (/ -1 y)))))))))) |
(* -1 (* y (+ (* -1/32 (* (sqrt (/ 1 (pow y 5))) (/ (+ (log -1) (* -1 (log (/ -1 y)))) (pow (sqrt -1) 2)))) (+ (* 1/128 (* (sqrt (/ 1 (pow y 7))) (/ (+ (log -1) (* -1 (log (/ -1 y)))) (pow (sqrt -1) 4)))) (+ (* 1/4 (* (sqrt (/ 1 (pow y 3))) (+ (log -1) (* -1 (log (/ -1 y)))))) (* (sqrt (/ 1 y)) (* (pow (sqrt -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))))))))) |
(* -1 (* y (- (* -1 (/ (- x (+ z (* 1/2 (+ (log -1) (* -1 (log (/ -1 y))))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))))) |
(+ (log -1) (* -1 (log (/ -1 y)))) |
(+ (log -1) (* -1 (log (/ -1 y)))) |
(+ (log -1) (* -1 (log (/ -1 y)))) |
(+ (log -1) (* -1 (log (/ -1 y)))) |
(* -1 (* (log y) (+ 1/2 y))) |
(- x (* (log y) (+ 1/2 y))) |
(- x (* (log y) (+ 1/2 y))) |
(- x (* (log y) (+ 1/2 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)))) |
(- 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))) |
(- 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)))) |
(- 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)))) |
(- 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)))) |
(- 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))) |
(* -1/2 (log y)) |
(+ x (* -1/2 (log y))) |
(+ x (* -1/2 (log y))) |
(+ x (* -1/2 (log 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 (* -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 |
(* 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 |
(* 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 |
(* 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 |
(* 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 |
(* 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 |
(* 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 |
(* x (+ 1 (* -1/2 (/ (log y) x)))) |
(* x (+ 1 (* -1/2 (/ (log y) x)))) |
(* x (+ 1 (* -1/2 (/ (log y) x)))) |
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 (- (/ (* (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 (* 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 |
(* -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 (* 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 |
(* -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 |
(* -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 |
(* -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 (* x (- (* 1/2 (/ (log y) x)) 1))) |
(* -1 (* x (- (* 1/2 (/ (log y) x)) 1))) |
(* -1 (* x (- (* 1/2 (/ (log y) x)) 1))) |
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))) |
| Outputs |
|---|
(- (+ x y) (* (log y) (+ 1/2 y))) |
(fma.f64 (-.f64 (neg.f64 y) #s(literal 1/2 binary64)) (log.f64 y) (+.f64 y x)) |
(- (+ x (+ y (* -1 z))) (* (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))) (* (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))) (* (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) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(- (+ x y) (* (log y) (+ 1/2 y))) |
(fma.f64 (-.f64 (neg.f64 y) #s(literal 1/2 binary64)) (log.f64 y) (+.f64 y x)) |
(- (+ x (+ y (* -1 z))) (* (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))) (* (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))) (* (log y) (+ 1/2 y))) |
(-.f64 (+.f64 y x) (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) |
(* -1 (pow z 2)) |
(*.f64 (neg.f64 z) z) |
(* -1 (pow z 2)) |
(*.f64 (neg.f64 z) z) |
(* -1 (pow z 2)) |
(*.f64 (neg.f64 z) z) |
(* -1 (pow z 2)) |
(*.f64 (neg.f64 z) z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
z |
z |
z |
z |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 (pow z 2)) |
(*.f64 (neg.f64 z) z) |
(* -1 (pow z 2)) |
(*.f64 (neg.f64 z) z) |
(* -1 (pow z 2)) |
(*.f64 (neg.f64 z) z) |
(* -1 (pow z 2)) |
(*.f64 (neg.f64 z) z) |
(- (+ x y) (* (log y) (+ 1/2 y))) |
(fma.f64 (-.f64 (neg.f64 y) #s(literal 1/2 binary64)) (log.f64 y) (+.f64 y x)) |
(- (+ x (+ y (* -1 z))) (* (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))) (* (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))) (* (log y) (+ 1/2 y))) |
(-.f64 (+.f64 y x) (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) |
(* -1 (pow z 2)) |
(*.f64 (neg.f64 z) z) |
(* -1 (pow z 2)) |
(*.f64 (neg.f64 z) z) |
(* -1 (pow z 2)) |
(*.f64 (neg.f64 z) z) |
(* -1 (pow z 2)) |
(*.f64 (neg.f64 z) z) |
(/ -1 (pow z 2)) |
(/.f64 #s(literal -1 binary64) (*.f64 z z)) |
(/ -1 (pow z 2)) |
(/.f64 #s(literal -1 binary64) (*.f64 z z)) |
(/ -1 (pow z 2)) |
(/.f64 #s(literal -1 binary64) (*.f64 z z)) |
(/ -1 (pow z 2)) |
(/.f64 #s(literal -1 binary64) (*.f64 z z)) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
z |
z |
z |
z |
(- (+ x y) (* (log y) (+ 1/2 y))) |
(fma.f64 (-.f64 (neg.f64 y) #s(literal 1/2 binary64)) (log.f64 y) (+.f64 y x)) |
(- (+ x (+ y (* -1 z))) (* (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))) (* (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))) (* (log y) (+ 1/2 y))) |
(-.f64 (+.f64 y x) (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) 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) |
(- (+ x y) (* (log y) (+ 1/2 y))) |
(fma.f64 (-.f64 (neg.f64 y) #s(literal 1/2 binary64)) (log.f64 y) (+.f64 y x)) |
(- (+ x (+ y (* -1 z))) (* (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))) (* (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))) (* (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 (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z)))) |
(*.f64 (-.f64 (+.f64 (/.f64 y z) (/.f64 x z)) (fma.f64 (/.f64 (log.f64 y) z) (+.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64))) z) |
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z)))) |
(*.f64 (-.f64 (+.f64 (/.f64 y z) (/.f64 x z)) (fma.f64 (/.f64 (log.f64 y) z) (+.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64))) z) |
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z)))) |
(*.f64 (-.f64 (+.f64 (/.f64 y z) (/.f64 x z)) (fma.f64 (/.f64 (log.f64 y) z) (+.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64))) z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z)))) |
(*.f64 (-.f64 (+.f64 (/.f64 y z) (/.f64 x z)) (fma.f64 (/.f64 (log.f64 y) z) (+.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64))) z) |
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z)))) |
(*.f64 (-.f64 (+.f64 (/.f64 y z) (/.f64 x z)) (fma.f64 (/.f64 (log.f64 y) z) (+.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64))) z) |
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z)))) |
(*.f64 (-.f64 (+.f64 (/.f64 y z) (/.f64 x z)) (fma.f64 (/.f64 (log.f64 y) z) (+.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64))) z) |
(* -1 (pow z 2)) |
(*.f64 (neg.f64 z) z) |
(* -1 (pow z 2)) |
(*.f64 (neg.f64 z) z) |
(* -1 (pow z 2)) |
(*.f64 (neg.f64 z) z) |
(* -1 (pow z 2)) |
(*.f64 (neg.f64 z) z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
z |
z |
z |
z |
(* -1 z) |
(neg.f64 z) |
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(*.f64 (neg.f64 x) (-.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 x) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x))) |
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x))) |
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1))) |
(*.f64 (neg.f64 x) (-.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 x) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x))) |
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x))) |
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1))) |
(*.f64 (neg.f64 x) (-.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 (* (log y) (+ 1/2 y))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (-.f64 (neg.f64 y) #s(literal 1/2 binary64)) (log.f64 y) y) x))) |
(* -1 (* x (- (* -1 (/ (- y (* (log y) (+ 1/2 y))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (-.f64 (neg.f64 y) #s(literal 1/2 binary64)) (log.f64 y) y) x))) |
(* -1 (* x (- (* -1 (/ (- y (* (log y) (+ 1/2 y))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (-.f64 (neg.f64 y) #s(literal 1/2 binary64)) (log.f64 y) y) x))) |
x |
(* -1 (* x (- (* 1/2 (/ (log y) x)) 1))) |
(fma.f64 (*.f64 (/.f64 (log.f64 y) x) #s(literal -1/2 binary64)) x x) |
(* -1 (* x (- (* 1/2 (/ (log y) x)) 1))) |
(fma.f64 (*.f64 (/.f64 (log.f64 y) x) #s(literal -1/2 binary64)) x x) |
(* -1 (* x (- (* 1/2 (/ (log y) x)) 1))) |
(fma.f64 (*.f64 (/.f64 (log.f64 y) x) #s(literal -1/2 binary64)) x x) |
x |
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x))) |
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x))) |
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x))) |
| 4 656× | lower-*.f32 |
| 4 642× | lower-*.f64 |
| 2 854× | lower-/.f32 |
| 2 846× | lower-/.f64 |
| 2 198× | lower--.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 301 |
| 0 | 68 | 250 |
| 1 | 306 | 180 |
| 2 | 2871 | 180 |
| 0 | 8214 | 177 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 (log.f64 y) (sqrt.f64 (+.f64 y #s(literal 1/2 binary64)))) (sqrt.f64 (+.f64 y #s(literal 1/2 binary64)))) |
(-.f64 x (*.f64 (*.f64 (log.f64 y) (sqrt.f64 (+.f64 y #s(literal 1/2 binary64)))) (sqrt.f64 (+.f64 y #s(literal 1/2 binary64))))) |
(-.f64 (+.f64 (-.f64 x (*.f64 (*.f64 (log.f64 y) (sqrt.f64 (+.f64 y #s(literal 1/2 binary64)))) (sqrt.f64 (+.f64 y #s(literal 1/2 binary64))))) y) z) |
(+.f64 (-.f64 x (*.f64 (*.f64 (log.f64 y) (sqrt.f64 (+.f64 y #s(literal 1/2 binary64)))) (sqrt.f64 (+.f64 y #s(literal 1/2 binary64))))) y) |
(/.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 (*.f64 (*.f64 z z) z) (*.f64 z z)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 (*.f64 (*.f64 z z) 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 (*.f64 (*.f64 z z) z) (*.f64 z z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z z) (neg.f64 (*.f64 (*.f64 (*.f64 z z) z) z)))) |
(/.f64 (*.f64 z z) (neg.f64 (*.f64 (*.f64 (*.f64 z z) z) z))) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z z) (neg.f64 (*.f64 (*.f64 (*.f64 z z) z) z)))) (+.f64 #s(literal 0 binary64) z)) |
(+.f64 #s(literal 0 binary64) z) |
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) #s(approx (+ (* -1/2 (log y)) x) (*.f64 #s(literal -1/2 binary64) (log.f64 y)))) z) |
#s(approx (+ (- x (* (+ y 1/2) (log y))) y) #s(approx (+ (* -1/2 (log y)) x) (*.f64 #s(literal -1/2 binary64) (log.f64 y)))) |
#s(approx (+ (* -1/2 (log y)) x) (*.f64 #s(literal -1/2 binary64) (log.f64 y))) |
(*.f64 #s(literal -1/2 binary64) (log.f64 y)) |
(*.f64 (log.f64 y) (sqrt.f64 (+.f64 y #s(literal 1/2 binary64)))) |
(*.f64 (*.f64 z z) z) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z z) (neg.f64 (*.f64 (*.f64 (*.f64 z z) z) z)))) (+.f64 #s(literal 0 binary64) z))) |
(log.f64 y) |
| Outputs |
|---|
(*.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) y)) (log.f64 y)) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) y))) |
(*.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) y)) (*.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) y)) (log.f64 y))) |
(*.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y)) |
(*.f64 (log.f64 y) (+.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)) (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))) (fma.f64 y y (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) y)))) |
(fma.f64 #s(literal 1/2 binary64) (log.f64 y) (*.f64 y (log.f64 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 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))) |
(*.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) x))) |
(*.f64 (-.f64 (*.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 (+.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)))) |
(pow.f64 (/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) x) (-.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)) |
(pow.f64 (/.f64 (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 (*.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)) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) x)) (*.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) x) (pow.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y)) #s(literal 2 binary64)))) (pow.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) x) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) x) (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 (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)) (pow.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y)) #s(literal 3 binary64)))) (pow.f64 (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)) #s(literal 2 binary64))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y)) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) x))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x x) x) (pow.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y)) #s(literal 3 binary64)))) (neg.f64 (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 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y)) #s(literal 2 binary64))) (-.f64 x (*.f64 (neg.f64 (log.f64 y)) (+.f64 #s(literal 1/2 binary64) y)))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y)) #s(literal 2 binary64))) (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) x)) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) x) (pow.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y)) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y)) #s(literal 2 binary64)) (*.f64 x (*.f64 (neg.f64 (log.f64 y)) (+.f64 #s(literal 1/2 binary64) y)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) x) (pow.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y)) #s(literal 3 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 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) x) (-.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) (/.f64 (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 (*.f64 (*.f64 x x) x) (pow.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y)) #s(literal 3 binary64))))) |
(fma.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) y))) (*.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) y)) (log.f64 y)) x) |
(fma.f64 (neg.f64 (log.f64 y)) (+.f64 #s(literal 1/2 binary64) y) x) |
(fma.f64 (neg.f64 (+.f64 #s(literal 1/2 binary64) y)) (log.f64 y) x) |
(fma.f64 (*.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) y))) (log.f64 y)) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) y)) x) |
(fma.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y)) x) |
(fma.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) y)) (log.f64 y)) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) y))) x) |
(fma.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) y)) (*.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) y))) (log.f64 y)) x) |
(fma.f64 (+.f64 #s(literal 1/2 binary64) y) (neg.f64 (log.f64 y)) x) |
(fma.f64 (log.f64 y) (neg.f64 (+.f64 #s(literal 1/2 binary64) y)) x) |
(-.f64 (/.f64 (*.f64 x x) (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) x)) (/.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y)) #s(literal 2 binary64)) (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) x))) |
(-.f64 (/.f64 (*.f64 (*.f64 x x) x) (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 (pow.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y)) #s(literal 3 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 x (*.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y))) |
(+.f64 (*.f64 (neg.f64 (log.f64 y)) (+.f64 #s(literal 1/2 binary64) y)) x) |
(+.f64 x (*.f64 (neg.f64 (log.f64 y)) (+.f64 #s(literal 1/2 binary64) y))) |
(*.f64 (-.f64 (pow.f64 (-.f64 (+.f64 y x) (*.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y))) #s(literal 2 binary64)) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (+.f64 z (-.f64 (+.f64 y x) (*.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y)))))) |
(*.f64 (-.f64 (pow.f64 (-.f64 (+.f64 y x) (*.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y))) #s(literal 3 binary64)) (*.f64 (*.f64 z z) z)) (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 z (-.f64 (+.f64 y x) (*.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y)))) (pow.f64 (-.f64 (+.f64 y x) (*.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y))) #s(literal 2 binary64))))) |
(pow.f64 (/.f64 (+.f64 z (-.f64 (+.f64 y x) (*.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y)))) (-.f64 (pow.f64 (-.f64 (+.f64 y x) (*.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y))) #s(literal 2 binary64)) (*.f64 z z))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 z (+.f64 z (-.f64 (+.f64 y x) (*.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y)))) (pow.f64 (-.f64 (+.f64 y x) (*.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y))) #s(literal 2 binary64))) (-.f64 (pow.f64 (-.f64 (+.f64 y x) (*.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y))) #s(literal 3 binary64)) (*.f64 (*.f64 z z) z))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (pow.f64 (-.f64 (+.f64 y x) (*.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y))) #s(literal 2 binary64)) (+.f64 z (-.f64 (+.f64 y x) (*.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y))))) (*.f64 (+.f64 z (-.f64 (+.f64 y x) (*.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y)))) (*.f64 z z))) (*.f64 (+.f64 z (-.f64 (+.f64 y x) (*.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y)))) (+.f64 z (-.f64 (+.f64 y x) (*.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (-.f64 (+.f64 y x) (*.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y))) #s(literal 3 binary64)) (fma.f64 z (+.f64 z (-.f64 (+.f64 y x) (*.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y)))) (pow.f64 (-.f64 (+.f64 y x) (*.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y))) #s(literal 2 binary64)))) (*.f64 (fma.f64 z (+.f64 z (-.f64 (+.f64 y x) (*.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y)))) (pow.f64 (-.f64 (+.f64 y x) (*.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y))) #s(literal 2 binary64))) (*.f64 (*.f64 z z) z))) (*.f64 (fma.f64 z (+.f64 z (-.f64 (+.f64 y x) (*.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y)))) (pow.f64 (-.f64 (+.f64 y x) (*.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y))) #s(literal 2 binary64))) (fma.f64 z (+.f64 z (-.f64 (+.f64 y x) (*.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y)))) (pow.f64 (-.f64 (+.f64 y x) (*.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y))) #s(literal 2 binary64))))) |
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#s(approx (+ (- x (* (+ y 1/2) (log y))) y) #s(approx (+ (* -1/2 (log y)) x) (*.f64 #s(literal -1/2 binary64) (log.f64 y)))) |
#s(approx (+ (* -1/2 (log y)) x) (*.f64 #s(literal -1/2 binary64) (log.f64 y))) |
(*.f64 #s(literal -1/2 binary64) (log.f64 y)) |
(*.f64 (log.f64 y) #s(literal -1/2 binary64)) |
(*.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) y)) (log.f64 y)) |
(*.f64 (log.f64 y) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) y))) |
(*.f64 (pow.f64 (/.f64 (*.f64 (*.f64 (neg.f64 z) z) z) (*.f64 (*.f64 (*.f64 (neg.f64 z) z) z) (*.f64 (*.f64 z z) z))) #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 z z) z) z) (*.f64 z z)) (*.f64 (*.f64 z z) z)) (*.f64 (*.f64 z z) z))) |
(*.f64 (pow.f64 (/.f64 (*.f64 (*.f64 (neg.f64 z) z) z) (*.f64 (*.f64 (*.f64 (neg.f64 z) z) z) z)) #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 z z) z) z) (*.f64 z z))) |
(*.f64 (pow.f64 (/.f64 (*.f64 z z) (*.f64 (neg.f64 z) z)) #s(literal 3 binary64)) (*.f64 (*.f64 (neg.f64 z) z) z)) |
(*.f64 (pow.f64 (/.f64 (*.f64 z z) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 3 binary64))) |
(*.f64 (pow.f64 (/.f64 (neg.f64 z) #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) |
(*.f64 (pow.f64 (/.f64 z #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (neg.f64 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 (*.f64 (*.f64 (neg.f64 z) z) z) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 z z)) #s(literal 3 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 z)) #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 (neg.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 (*.f64 z z) z) z) (*.f64 z z)) (*.f64 (*.f64 z z) z))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 z z) z) z) (*.f64 z z))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 z z)) #s(literal 3/2 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 (neg.f64 z) z) z) z) #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal 3/2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 z z) z) z) (*.f64 z z))) |
(*.f64 (pow.f64 (*.f64 (*.f64 z z) z) #s(literal 3/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) 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 #s(literal 1 binary64) #s(literal 3/2 binary64)) (*.f64 (*.f64 z z) z)) |
(*.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 (-.f64 z #s(literal 0 binary64)) #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 (*.f64 z z) z) z) (*.f64 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 (neg.f64 z) z) z) (*.f64 (*.f64 z z) z)) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 z)) #s(literal 3 binary64))) |
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 z z) z) z) (*.f64 z z)) (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 3 binary64))) |
(*.f64 (*.f64 (*.f64 (neg.f64 z) z) z) (pow.f64 (/.f64 z (neg.f64 z)) #s(literal 3 binary64))) |
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) z)) |
(*.f64 (*.f64 (*.f64 z z) z) (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64))) |
(*.f64 (*.f64 (*.f64 z z) z) #s(literal 1 binary64)) |
(*.f64 (*.f64 z z) z) |
(*.f64 z (*.f64 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 #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 (neg.f64 z) z) #s(literal -1 binary64)) #s(literal 3 binary64)) (*.f64 (*.f64 z z) z)) |
(/.f64 (pow.f64 (/.f64 (*.f64 (*.f64 (neg.f64 z) z) z) z) #s(literal 3 binary64)) (*.f64 (*.f64 (neg.f64 z) z) z)) |
(/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (neg.f64 z) z) z) (*.f64 (*.f64 z z) z)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 z) (*.f64 (*.f64 (*.f64 z z) z) z)) #s(literal 3 binary64))) |
(/.f64 (pow.f64 (*.f64 (*.f64 (neg.f64 z) z) z) #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 (neg.f64 z) z) z) (*.f64 (*.f64 z z) z))) |
(/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (neg.f64 z) z) z) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (neg.f64 z) z) z) #s(literal 3 binary64))) |
(/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal 3 binary64))) |
(/.f64 (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 z z) z) z) (*.f64 z z)) (*.f64 (*.f64 z z) z))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 z z) z) z) (*.f64 z z)) (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 z z) z))))) |
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 z z) z) z) (*.f64 z z)) (*.f64 (*.f64 z z) z)) (*.f64 (*.f64 (*.f64 (*.f64 z z) z) z) (*.f64 z z))) |
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 z z) z) z) z) (*.f64 z z)) |
(/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 z) z) z) (*.f64 (*.f64 z z) z)) (*.f64 (*.f64 (neg.f64 z) z) z)) |
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 z z) z) z) (*.f64 z z)) (pow.f64 (-.f64 z #s(literal 0 binary64)) #s(literal 3 binary64))) |
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 z z) z) z) (*.f64 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 (neg.f64 z) z) z) z) (neg.f64 z)) |
(/.f64 (*.f64 (*.f64 (*.f64 z z) z) z) z) |
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 3 binary64))) |
(/.f64 (*.f64 (*.f64 z z) z) #s(literal 1 binary64)) |
(/.f64 z (/.f64 #s(literal 1 binary64) (*.f64 z z))) |
(neg.f64 (*.f64 (*.f64 (neg.f64 z) z) z)) |
(fma.f64 (pow.f64 (/.f64 (*.f64 (*.f64 (neg.f64 z) z) z) (*.f64 (*.f64 (*.f64 (neg.f64 z) z) z) (*.f64 (*.f64 z z) z))) #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 z z) z) z) (*.f64 z z)) (*.f64 (*.f64 z z) z)) (*.f64 (*.f64 z z) z)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (/.f64 (*.f64 (*.f64 (neg.f64 z) z) z) (*.f64 (*.f64 (*.f64 (neg.f64 z) z) z) z)) #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 z z) z) z) (*.f64 z z)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (/.f64 (*.f64 z z) (*.f64 (neg.f64 z) z)) #s(literal 3 binary64)) (*.f64 (*.f64 (neg.f64 z) z) z) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (/.f64 (*.f64 z z) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 3 binary64)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (/.f64 (neg.f64 z) #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (/.f64 z #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (neg.f64 z) z) #s(literal 3 binary64)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 #s(literal -1 binary64) #s(literal 3/2 binary64)) (pow.f64 (*.f64 (neg.f64 z) z) #s(literal 3/2 binary64)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (*.f64 (*.f64 (neg.f64 z) z) z) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 z z)) #s(literal 3 binary64)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 z)) #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 (neg.f64 z) z) z) (*.f64 (*.f64 z z) z)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 z z) z) z) (*.f64 z z)) (*.f64 (*.f64 z z) z)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 z z) z) z) (*.f64 z z)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 z z)) #s(literal 3/2 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 (neg.f64 z) z) z) z) #s(literal 3/2 binary64)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal 3/2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 z z) z) z) (*.f64 z z)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (*.f64 (*.f64 z z) z) #s(literal 3/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 3/2 binary64)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (neg.f64 z) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 z) #s(literal 3/2 binary64)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) (*.f64 (*.f64 z z) z) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 (-.f64 z #s(literal 0 binary64)) #s(literal 3/2 binary64)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 z #s(literal 3/2 binary64)) #s(literal 0 binary64)) |
(fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 z z) z) z) (*.f64 z z)) (*.f64 (*.f64 z z) z)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal 3 binary64)) #s(literal 0 binary64)) |
(fma.f64 (*.f64 (*.f64 (*.f64 (neg.f64 z) z) z) (*.f64 (*.f64 z z) z)) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 z)) #s(literal 3 binary64)) #s(literal 0 binary64)) |
(fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 z z) z) z) (*.f64 z z)) (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 3 binary64)) #s(literal 0 binary64)) |
(fma.f64 (*.f64 (*.f64 (neg.f64 z) z) z) (pow.f64 (/.f64 z (neg.f64 z)) #s(literal 3 binary64)) #s(literal 0 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) z) #s(literal 0 binary64)) |
(fma.f64 (*.f64 (*.f64 z z) z) (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) #s(literal 0 binary64)) |
(fma.f64 (*.f64 (*.f64 z z) z) #s(literal 1 binary64) #s(literal 0 binary64)) |
(fma.f64 (*.f64 z z) z #s(literal 0 binary64)) |
(fma.f64 z (*.f64 z z) #s(literal 0 binary64)) |
(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))) |
(+.f64 #s(literal 0 binary64) (*.f64 (*.f64 z z) z)) |
(+.f64 (*.f64 (*.f64 z z) z) #s(literal 0 binary64)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z)) |
(log.f64 y) |
Compiled 46 092 to 3 556 computations (92.3% saved)
65 alts after pruning (58 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 020 | 40 | 2 060 |
| Fresh | 16 | 18 | 34 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 5 | 5 |
| Total | 2 039 | 65 | 2 104 |
| Status | Accuracy | Program |
|---|---|---|
| 76.7% | (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))) | |
| 59.7% | (-.f64 (/.f64 (fma.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) y)) (*.f64 (-.f64 y x) (log.f64 y))) (*.f64 (-.f64 y x) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) y)))) z) | |
| 86.9% | (-.f64 (+.f64 (-.f64 x (*.f64 #s(approx (* (log y) (sqrt (+ y 1/2))) (*.f64 (sqrt.f64 y) (log.f64 y))) (sqrt.f64 (+.f64 y #s(literal 1/2 binary64))))) y) z) | |
| 88.4% | (-.f64 (+.f64 #s(approx (- x (/ (log y) (/ 1 (* (pow (pow (+ 1/2 y) -1/2) -1) (pow (pow (+ 1/2 y) -1/2) -1))))) (*.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (/.f64 (log.f64 y) x) #s(literal 1 binary64)) x)) y) z) | |
| 56.7% | (-.f64 #s(approx (- (- (+ y x) (* (log y) y)) (* (log y) 1/2)) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) z) | |
| ✓ | 71.7% | (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z) |
| ✓ | 42.2% | (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) #s(approx (+ (* -1/2 (log y)) x) (*.f64 #s(literal -1/2 binary64) (log.f64 y)))) z) |
| 73.1% | #s(approx (- (- (- (+ y x) (* (log y) y)) (* (log y) 1/2)) z) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x))) | |
| 81.2% | #s(approx (- (- (- (+ y x) (* (log y) y)) (* (log y) 1/2)) z) (*.f64 (-.f64 (+.f64 (/.f64 y z) (/.f64 x z)) (fma.f64 (/.f64 (log.f64 y) z) (+.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64))) z)) | |
| ✓ | 29.8% | #s(approx (- (- (- (+ y x) (* (log y) y)) (* (log y) 1/2)) z) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) |
| 9.9% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z z))) (*.f64 (*.f64 z z) #s(literal -1 binary64))) (*.f64 (*.f64 z z) (/.f64 #s(literal -1 binary64) (*.f64 z z)))) z)) | |
| 0.9% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) 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 (*.f64 z z) z) z) (*.f64 z z))) z)) | |
| 1.7% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 (*.f64 z z) z) z) (*.f64 (*.f64 z z) z))) (*.f64 (*.f64 (*.f64 (*.f64 z z) z) z) z)) z)) | |
| 3.7% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 (*.f64 z z) z) z) z)) (*.f64 (*.f64 z z) z)) z)) | |
| 4.3% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (neg.f64 z) z) (*.f64 (neg.f64 z) z))) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z))) | |
| 12.0% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 z)) z)) (+.f64 #s(literal 0 binary64) z))) | |
| 0.9% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 z) z) z) (*.f64 (*.f64 z z) z)) (*.f64 (*.f64 (*.f64 (*.f64 z z) z) z) (*.f64 (*.f64 (*.f64 z z) z) z)))) (+.f64 #s(literal 0 binary64) z))) | |
| 2.2% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z z) (neg.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 z z) z) z) (*.f64 z z)) (*.f64 (*.f64 z z) z)) z)))) (+.f64 #s(literal 0 binary64) z))) | |
| 3.7% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z z) (neg.f64 (*.f64 (*.f64 (*.f64 z z) z) z)))) (*.f64 (/.f64 (*.f64 (*.f64 (neg.f64 z) z) z) (*.f64 (*.f64 (*.f64 (neg.f64 z) z) z) z)) (*.f64 z z)))) | |
| 4.3% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z z) (neg.f64 (*.f64 (*.f64 (*.f64 z z) z) z)))) (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 z z)))) | |
| 12.1% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z z))) z)) | |
| 10.7% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z z)))) (+.f64 #s(literal 0 binary64) z))) | |
| 8.8% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z (*.f64 (*.f64 (neg.f64 z) z) z)) #s(literal 1 binary64))) (+.f64 #s(literal 0 binary64) z))) | |
| 8.8% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 z) z) z)) z)) (+.f64 #s(literal 0 binary64) z))) | |
| 12.0% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 z)) (/.f64 #s(literal 1 binary64) z))) (+.f64 #s(literal 0 binary64) z))) | |
| 12.1% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal -1 binary64) (*.f64 z z)))) | |
| 3.7% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (fma.f64 (/.f64 (*.f64 (*.f64 (neg.f64 z) z) z) (*.f64 (*.f64 (*.f64 (neg.f64 z) z) z) z)) (*.f64 z z) #s(literal 0 binary64)))) | |
| 4.0% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 z z) z) z) z) (*.f64 z z)) (*.f64 z z)))) | |
| 9.9% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) (*.f64 z z))))) | |
| 6.4% | #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) #s(literal 0 binary64)) (*.f64 z z)))) | |
| 1.8% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 z) z) z) (*.f64 (*.f64 z z) z)) (*.f64 (neg.f64 z) (*.f64 (*.f64 (*.f64 z z) z) z))))) | |
| 3.6% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 z) z) z) z) (*.f64 (*.f64 (neg.f64 z) z) z)))) | |
| 9.9% | #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))))) | |
| 12.1% | #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)))) | |
| 1.8% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (*.f64 (/.f64 (*.f64 (*.f64 (neg.f64 z) z) z) (*.f64 (*.f64 (*.f64 (neg.f64 z) z) z) (*.f64 (*.f64 z z) z))) (*.f64 (*.f64 (*.f64 z z) z) z)))) | |
| 6.4% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (*.f64 (*.f64 z z) z)))) | |
| 9.9% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 z z)))) | |
| 4.3% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 z z)) (*.f64 (*.f64 (*.f64 z z) z) z)) z)) | |
| 8.8% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (*.f64 z z) z)) z)) | |
| 6.6% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (*.f64 z z)))) z) z)) | |
| 4.3% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 z) z) z) z) (/.f64 #s(literal 1 binary64) z))) z) z)) | |
| 1.8% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 z) z) z) (*.f64 (*.f64 z z) z)) (/.f64 #s(literal 1 binary64) z)) (*.f64 (*.f64 (*.f64 z z) z) z))) | |
| 4.3% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 z) z) z) z) (/.f64 #s(literal 1 binary64) z)) (*.f64 z z))) | |
| 6.6% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 z z) z) (/.f64 #s(literal -1 binary64) (*.f64 z z))) z) z)) | |
| 1.8% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 z) z) z) (*.f64 (*.f64 z z) z)) (*.f64 (*.f64 (*.f64 (*.f64 z z) z) z) z))) | |
| 3.7% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 z) z) z) z) (*.f64 (*.f64 z z) z))) | |
| 6.6% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (*.f64 (neg.f64 z) z) z) (*.f64 z z))) | |
| 6.4% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (neg.f64 z) z) (/.f64 (*.f64 (*.f64 z z) z) (*.f64 z z)))) | |
| ✓ | 12.1% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (neg.f64 z) z) z)) |
| 28.9% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) z))) | |
| ✓ | 69.4% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z))) |
| 28.5% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y #s(approx (+ (* (+ 1/2 y) (log y)) z) (/.f64 (*.f64 (fma.f64 (/.f64 (log.f64 y) z) (+.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 (neg.f64 z) z)) (neg.f64 z))))) | |
| ✓ | 60.9% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y #s(approx (+ (* (+ 1/2 y) (log y)) z) (*.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (/.f64 (log.f64 y) z) #s(literal 1 binary64)) z)))) |
| 60.9% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y #s(approx (+ (* (+ 1/2 y) (log y)) z) (*.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (*.f64 (/.f64 #s(literal 1 binary64) z) (log.f64 y)) #s(literal 1 binary64)) z)))) | |
| 29.8% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y #s(approx (+ (* (+ 1/2 y) (log y)) z) (*.f64 (log.f64 y) y)))) | |
| 6.4% | #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))) | |
| 4.3% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 z) z) z) z) (/.f64 #s(literal 1 binary64) z)))) | |
| 12.1% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 z)) (*.f64 z z))) | |
| 28.9% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 z)) z) z)) | |
| 6.6% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (*.f64 (*.f64 z z) z) (/.f64 #s(literal -1 binary64) (*.f64 z z)))) | |
| ✓ | 29.0% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z)) |
| 42.8% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (- y (+ (* (+ 1/2 y) (log y)) z)) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y))) | |
| 42.4% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (- y (+ (* (+ 1/2 y) (log y)) z)) (fma.f64 (*.f64 (sqrt.f64 (+.f64 y #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 (+.f64 y #s(literal 1/2 binary64))))) (log.f64 y) y))) | |
| 15.2% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (- y (+ (* (+ 1/2 y) (log y)) z)) (fma.f64 #s(approx (- (neg y) 1/2) #s(literal -1/2 binary64)) (log.f64 y) y))) | |
| 16.0% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (- y (+ (* (+ 1/2 y) (log y)) z)) #s(approx (+ (* (- (neg y) 1/2) (log y)) y) (*.f64 #s(literal -1/2 binary64) (log.f64 y))))) |
Compiled 2 977 to 1 003 computations (66.3% saved)
| Inputs |
|---|
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 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 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) 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 (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 z)) z) z)) |
#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 #s(literal 1 binary64) (neg.f64 z)) (*.f64 z z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 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 (neg.f64 z) z) z) (*.f64 z z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (*.f64 (*.f64 z z) z) (/.f64 #s(literal -1 binary64) (*.f64 z z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (*.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 (*.f64 z z) z) z)) (*.f64 (*.f64 z z) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 z) 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 (*.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 #s(literal 1 binary64) z) (/.f64 #s(literal -1 binary64) (*.f64 z z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.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 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 1 binary64) (/.f64 #s(literal 1 binary64) z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (*.f64 (neg.f64 z) (*.f64 (neg.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) z) (/.f64 (*.f64 (*.f64 z z) z) (*.f64 z z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z z)))) (+.f64 #s(literal 0 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 (*.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 #s(literal 1 binary64) (/.f64 z (*.f64 z z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 z z) z) (/.f64 #s(literal -1 binary64) (*.f64 z z))) z) z)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 z z)) (*.f64 (*.f64 (*.f64 z z) z) z)) z)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (*.f64 (neg.f64 z) (*.f64 (*.f64 z z) z)) (*.f64 z z)) (+.f64 #s(literal 0 binary64) 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) #s(literal 0 binary64)) (*.f64 z z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 (*.f64 z z) z) z)) (/.f64 #s(literal 1 binary64) z)) (*.f64 z z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 z) z) 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 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 z)) z)) (+.f64 #s(literal 0 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (*.f64 (*.f64 (*.f64 z z) z) (/.f64 #s(literal 1 binary64) (*.f64 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 1 binary64) (*.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 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 (neg.f64 (*.f64 (*.f64 (*.f64 z z) z) z)) (/.f64 #s(literal 1 binary64) (*.f64 z z))) (+.f64 #s(literal 0 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (neg.f64 z) z) (*.f64 (neg.f64 z) z))) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 z) z) z)) z)) (+.f64 #s(literal 0 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z (*.f64 (*.f64 (neg.f64 z) z) z)) #s(literal 1 binary64))) (+.f64 #s(literal 0 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 z) z) z) z) (/.f64 #s(literal 1 binary64) z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 z)) (/.f64 #s(literal 1 binary64) z))) (+.f64 #s(literal 0 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 (*.f64 z z) z) z) z)) (*.f64 (*.f64 z 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 1 binary64) z) (/.f64 #s(literal 1 binary64) (*.f64 z z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 z z) z) z) (*.f64 z z))) (*.f64 z (*.f64 (*.f64 (*.f64 z z) z) z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 z) z) z) (*.f64 (*.f64 z z) z)) (*.f64 (*.f64 (*.f64 (*.f64 z z) z) z) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z z) (neg.f64 (*.f64 (*.f64 (*.f64 z z) z) z)))) (+.f64 #s(literal 0 binary64) 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) 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 (neg.f64 z) z) z) z) (*.f64 (*.f64 (neg.f64 z) 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 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (*.f64 z z)))) z) z)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 z z) z) z) (*.f64 z z))) (/.f64 #s(literal 1 binary64) z)) (*.f64 (*.f64 (*.f64 z z) z) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 z) z) z) (*.f64 (*.f64 z z) z)) (/.f64 #s(literal 1 binary64) z)) (*.f64 (*.f64 (*.f64 z z) z) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 z) z) z) z) (/.f64 #s(literal 1 binary64) z))) 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 (*.f64 (neg.f64 z) z) z) (*.f64 (*.f64 (*.f64 (neg.f64 z) z) z) z)) (*.f64 z z) #s(literal 0 binary64)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 z z) z) z) z) (*.f64 z z)) (*.f64 z z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 (*.f64 z z) z) z) (*.f64 (*.f64 z z) z))) (*.f64 (*.f64 (*.f64 (*.f64 z z) z) z) z)) z)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z z) (neg.f64 (*.f64 (*.f64 (*.f64 z z) z) 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 (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 z z) z) z) (*.f64 z z))) (*.f64 (neg.f64 z) (*.f64 (*.f64 (*.f64 z z) 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 (neg.f64 z) z) z) (*.f64 (*.f64 z z) z)) (*.f64 (neg.f64 z) (*.f64 (*.f64 (*.f64 z z) z) z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z z))) (*.f64 (*.f64 z z) #s(literal -1 binary64))) (*.f64 (*.f64 z z) (/.f64 #s(literal -1 binary64) (*.f64 z z)))) z)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) 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 (*.f64 z z) z) z) (*.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 (*.f64 (*.f64 (neg.f64 z) z) z) (*.f64 (*.f64 (*.f64 (neg.f64 z) z) z) (*.f64 (*.f64 z z) z))) (*.f64 (*.f64 (*.f64 z z) z) z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z z) (neg.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 z z) z) z) (*.f64 z z)) (*.f64 (*.f64 z z) z)) z)))) (+.f64 #s(literal 0 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 z z) z)) (*.f64 (*.f64 z z) z))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (*.f64 (neg.f64 z) z) (*.f64 (neg.f64 z) z)) (*.f64 #s(literal 0 binary64) (*.f64 (neg.f64 z) z))))) (+.f64 #s(literal 0 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 z) z) z) (*.f64 (*.f64 z z) z)) (*.f64 (*.f64 (*.f64 (*.f64 z z) z) z) (*.f64 (*.f64 (*.f64 z z) z) z)))) (+.f64 #s(literal 0 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (- y (+ (* (+ 1/2 y) (log y)) z)) #s(approx (+ (* (- (neg y) 1/2) (log y)) y) (*.f64 #s(literal -1/2 binary64) (log.f64 y))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z z) (neg.f64 (*.f64 (*.f64 (*.f64 z z) z) z)))) (*.f64 (/.f64 (*.f64 (*.f64 (neg.f64 z) z) z) (*.f64 (*.f64 (*.f64 (neg.f64 z) z) z) z)) (*.f64 z z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (- y (+ (* (+ 1/2 y) (log y)) z)) (fma.f64 #s(approx (- (neg y) 1/2) #s(literal -1/2 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(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y #s(approx (+ (* (+ 1/2 y) (log y)) z) (*.f64 (log.f64 y) y)))) |
#s(approx (- (- (- (+ y x) (* (log y) y)) (* (log y) 1/2)) z) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) |
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) #s(approx (+ (* -1/2 (log y)) x) (*.f64 #s(literal -1/2 binary64) (log.f64 y)))) z) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (- y (+ (* (+ 1/2 y) (log y)) z)) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y (fma.f64 #s(approx (+ 1/2 y) #s(literal 1/2 binary64)) (log.f64 y) z))) |
(-.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) #s(approx (- y (+ (* (+ 1/2 y) (log y)) z)) (fma.f64 (-.f64 (neg.f64 y) #s(literal 1/2 binary64)) (log.f64 y) y))) |
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) z) |
(-.f64 #s(approx (- (- (+ y x) (* (log y) y)) (* (log y) 1/2)) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) z) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 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 y x))) |
#s(approx (- (- (- (+ y x) (* (log y) y)) (* (log y) 1/2)) z) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x))) |
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y #s(approx (+ (* (+ 1/2 y) (log y)) z) (*.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (/.f64 (log.f64 y) z) #s(literal 1 binary64)) z)))) |
(-.f64 (+.f64 #s(approx (- x (/ (log y) (/ 1 (* (pow (pow (+ 1/2 y) -1/2) -1) (pow (pow (+ 1/2 y) -1/2) -1))))) (*.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (/.f64 (log.f64 y) x) #s(literal 1 binary64)) x)) y) z) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y #s(approx (+ (* (+ 1/2 y) (log y)) z) (*.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (*.f64 (/.f64 #s(literal 1 binary64) z) (log.f64 y)) #s(literal 1 binary64)) z)))) |
(-.f64 (+.f64 #s(approx (- x (/ (log y) (/ 1 (+ 1/2 y)))) (*.f64 (fma.f64 (-.f64 (neg.f64 y) #s(literal 1/2 binary64)) (/.f64 (log.f64 y) x) #s(literal 1 binary64)) x)) y) z) |
(-.f64 (+.f64 (-.f64 x (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) 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 #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(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (- y (+ (* (+ 1/2 y) (log y)) z)) (fma.f64 (*.f64 (sqrt.f64 (+.f64 y #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 (+.f64 y #s(literal 1/2 binary64))))) (log.f64 y) 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 (-.f64 y z))) |
(-.f64 (+.f64 (-.f64 x (*.f64 #s(approx (* (log y) (sqrt (+ y 1/2))) (*.f64 (sqrt.f64 y) (log.f64 y))) (sqrt.f64 (+.f64 y #s(literal 1/2 binary64))))) y) z) |
(-.f64 (+.f64 (-.f64 x (*.f64 (*.f64 (log.f64 y) (sqrt.f64 (+.f64 y #s(literal 1/2 binary64)))) (sqrt.f64 (+.f64 y #s(literal 1/2 binary64))))) y) z) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y #s(approx (+ (* (+ 1/2 y) (log y)) z) (/.f64 (*.f64 (fma.f64 (/.f64 (log.f64 y) z) (+.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 (neg.f64 z) z)) (neg.f64 z))))) |
#s(approx (- (- (- (+ y x) (* (log y) y)) (* (log y) 1/2)) z) (*.f64 (-.f64 (+.f64 (/.f64 y z) (/.f64 x z)) (fma.f64 (/.f64 (log.f64 y) z) (+.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64))) z)) |
(-.f64 (/.f64 (fma.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) y)) (*.f64 (-.f64 y x) (log.f64 y))) (*.f64 (-.f64 y x) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) y)))) z) |
(-.f64 (-.f64 (-.f64 (+.f64 y x) (*.f64 (log.f64 y) y)) (*.f64 (log.f64 y) #s(literal 1/2 binary64))) z) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y (fma.f64 (*.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) #s(literal -1 binary64))) (log.f64 y) z))) |
(-.f64 (+.f64 (-.f64 x (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) #s(literal -1 binary64)))))) y) z) |
| Outputs |
|---|
(-.f64 (-.f64 (-.f64 (+.f64 y x) (*.f64 (log.f64 y) y)) (*.f64 (log.f64 y) #s(literal 1/2 binary64))) z) |
5 calls:
| 31.0ms | (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) |
| 29.0ms | (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) |
| 29.0ms | x |
| 28.0ms | y |
| 28.0ms | 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)) |
#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 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) 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 (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 z)) z) z)) |
#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 #s(literal 1 binary64) (neg.f64 z)) (*.f64 z z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 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 (neg.f64 z) z) z) (*.f64 z z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (*.f64 (*.f64 z z) z) (/.f64 #s(literal -1 binary64) (*.f64 z z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (*.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 (*.f64 z z) z) z)) (*.f64 (*.f64 z z) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 z) 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 (*.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 #s(literal 1 binary64) z) (/.f64 #s(literal -1 binary64) (*.f64 z z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.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 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 1 binary64) (/.f64 #s(literal 1 binary64) z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (*.f64 (neg.f64 z) (*.f64 (neg.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) z) (/.f64 (*.f64 (*.f64 z z) z) (*.f64 z z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z z)))) (+.f64 #s(literal 0 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 (*.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 #s(literal 1 binary64) (/.f64 z (*.f64 z z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 z z) z) (/.f64 #s(literal -1 binary64) (*.f64 z z))) z) z)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 z z)) (*.f64 (*.f64 (*.f64 z z) z) z)) z)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (*.f64 (neg.f64 z) (*.f64 (*.f64 z z) z)) (*.f64 z z)) (+.f64 #s(literal 0 binary64) 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) #s(literal 0 binary64)) (*.f64 z z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 (*.f64 z z) z) z)) (/.f64 #s(literal 1 binary64) z)) (*.f64 z z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 z) z) 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 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 z)) z)) (+.f64 #s(literal 0 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (*.f64 (*.f64 (*.f64 z z) z) (/.f64 #s(literal 1 binary64) (*.f64 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 1 binary64) (*.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 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 (neg.f64 (*.f64 (*.f64 (*.f64 z z) z) z)) (/.f64 #s(literal 1 binary64) (*.f64 z z))) (+.f64 #s(literal 0 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (neg.f64 z) z) (*.f64 (neg.f64 z) z))) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 z) z) z)) z)) (+.f64 #s(literal 0 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z (*.f64 (*.f64 (neg.f64 z) z) z)) #s(literal 1 binary64))) (+.f64 #s(literal 0 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 z) z) z) z) (/.f64 #s(literal 1 binary64) z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 z)) (/.f64 #s(literal 1 binary64) z))) (+.f64 #s(literal 0 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 (*.f64 z z) z) z) z)) (*.f64 (*.f64 z 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 1 binary64) z) (/.f64 #s(literal 1 binary64) (*.f64 z z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 z z) z) z) (*.f64 z z))) (*.f64 z (*.f64 (*.f64 (*.f64 z z) z) z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 z) z) z) (*.f64 (*.f64 z z) z)) (*.f64 (*.f64 (*.f64 (*.f64 z z) z) z) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z z) (neg.f64 (*.f64 (*.f64 (*.f64 z z) z) z)))) (+.f64 #s(literal 0 binary64) 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) 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 (neg.f64 z) z) z) z) (*.f64 (*.f64 (neg.f64 z) 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 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (*.f64 z z)))) z) z)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 z z) z) z) (*.f64 z z))) (/.f64 #s(literal 1 binary64) z)) (*.f64 (*.f64 (*.f64 z z) z) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 z) z) z) (*.f64 (*.f64 z z) z)) (/.f64 #s(literal 1 binary64) z)) (*.f64 (*.f64 (*.f64 z z) z) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 z) z) z) z) (/.f64 #s(literal 1 binary64) z))) 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 (*.f64 (neg.f64 z) z) z) (*.f64 (*.f64 (*.f64 (neg.f64 z) z) z) z)) (*.f64 z z) #s(literal 0 binary64)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 z z) z) z) z) (*.f64 z z)) (*.f64 z z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 (*.f64 z z) z) z) (*.f64 (*.f64 z z) z))) (*.f64 (*.f64 (*.f64 (*.f64 z z) z) z) z)) z)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z z) (neg.f64 (*.f64 (*.f64 (*.f64 z z) z) 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 (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 z z) z) z) (*.f64 z z))) (*.f64 (neg.f64 z) (*.f64 (*.f64 (*.f64 z z) 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 (neg.f64 z) z) z) (*.f64 (*.f64 z z) z)) (*.f64 (neg.f64 z) (*.f64 (*.f64 (*.f64 z z) z) z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z z))) (*.f64 (*.f64 z z) #s(literal -1 binary64))) (*.f64 (*.f64 z z) (/.f64 #s(literal -1 binary64) (*.f64 z z)))) z)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) 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 (*.f64 z z) z) z) (*.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 (*.f64 (*.f64 (neg.f64 z) z) z) (*.f64 (*.f64 (*.f64 (neg.f64 z) z) z) (*.f64 (*.f64 z z) z))) (*.f64 (*.f64 (*.f64 z z) z) z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z z) (neg.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 z z) z) z) (*.f64 z z)) (*.f64 (*.f64 z z) z)) z)))) (+.f64 #s(literal 0 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 z z) z)) (*.f64 (*.f64 z z) z))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (*.f64 (neg.f64 z) z) (*.f64 (neg.f64 z) z)) (*.f64 #s(literal 0 binary64) (*.f64 (neg.f64 z) z))))) (+.f64 #s(literal 0 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 z) z) z) (*.f64 (*.f64 z z) z)) (*.f64 (*.f64 (*.f64 (*.f64 z z) z) z) (*.f64 (*.f64 (*.f64 z z) z) z)))) (+.f64 #s(literal 0 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (- y (+ (* (+ 1/2 y) (log y)) z)) #s(approx (+ (* (- (neg y) 1/2) (log y)) y) (*.f64 #s(literal -1/2 binary64) (log.f64 y))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z z) (neg.f64 (*.f64 (*.f64 (*.f64 z z) z) z)))) (*.f64 (/.f64 (*.f64 (*.f64 (neg.f64 z) z) z) (*.f64 (*.f64 (*.f64 (neg.f64 z) z) z) z)) (*.f64 z z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (- y (+ (* (+ 1/2 y) (log y)) z)) (fma.f64 #s(approx (- (neg y) 1/2) #s(literal -1/2 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(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y #s(approx (+ (* (+ 1/2 y) (log y)) z) (*.f64 (log.f64 y) y)))) |
#s(approx (- (- (- (+ y x) (* (log y) y)) (* (log y) 1/2)) z) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) |
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) #s(approx (+ (* -1/2 (log y)) x) (*.f64 #s(literal -1/2 binary64) (log.f64 y)))) z) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (- y (+ (* (+ 1/2 y) (log y)) z)) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y (fma.f64 #s(approx (+ 1/2 y) #s(literal 1/2 binary64)) (log.f64 y) z))) |
(-.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) #s(approx (- y (+ (* (+ 1/2 y) (log y)) z)) (fma.f64 (-.f64 (neg.f64 y) #s(literal 1/2 binary64)) (log.f64 y) y))) |
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) z) |
(-.f64 #s(approx (- (- (+ y x) (* (log y) y)) (* (log y) 1/2)) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) z) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 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 y x))) |
#s(approx (- (- (- (+ y x) (* (log y) y)) (* (log y) 1/2)) z) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x))) |
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y #s(approx (+ (* (+ 1/2 y) (log y)) z) (*.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (/.f64 (log.f64 y) z) #s(literal 1 binary64)) z)))) |
(-.f64 (+.f64 #s(approx (- x (/ (log y) (/ 1 (* (pow (pow (+ 1/2 y) -1/2) -1) (pow (pow (+ 1/2 y) -1/2) -1))))) (*.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (/.f64 (log.f64 y) x) #s(literal 1 binary64)) x)) y) z) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y #s(approx (+ (* (+ 1/2 y) (log y)) z) (*.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (*.f64 (/.f64 #s(literal 1 binary64) z) (log.f64 y)) #s(literal 1 binary64)) z)))) |
(-.f64 (+.f64 #s(approx (- x (/ (log y) (/ 1 (+ 1/2 y)))) (*.f64 (fma.f64 (-.f64 (neg.f64 y) #s(literal 1/2 binary64)) (/.f64 (log.f64 y) x) #s(literal 1 binary64)) x)) y) z) |
(-.f64 (+.f64 (-.f64 x (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) 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 #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(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (- y (+ (* (+ 1/2 y) (log y)) z)) (fma.f64 (*.f64 (sqrt.f64 (+.f64 y #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 (+.f64 y #s(literal 1/2 binary64))))) (log.f64 y) 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 (-.f64 y z))) |
(-.f64 (+.f64 (-.f64 x (*.f64 #s(approx (* (log y) (sqrt (+ y 1/2))) (*.f64 (sqrt.f64 y) (log.f64 y))) (sqrt.f64 (+.f64 y #s(literal 1/2 binary64))))) y) z) |
(-.f64 (+.f64 (-.f64 x (*.f64 (*.f64 (log.f64 y) (sqrt.f64 (+.f64 y #s(literal 1/2 binary64)))) (sqrt.f64 (+.f64 y #s(literal 1/2 binary64))))) y) z) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y #s(approx (+ (* (+ 1/2 y) (log y)) z) (/.f64 (*.f64 (fma.f64 (/.f64 (log.f64 y) z) (+.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 (neg.f64 z) z)) (neg.f64 z))))) |
#s(approx (- (- (- (+ y x) (* (log y) y)) (* (log y) 1/2)) z) (*.f64 (-.f64 (+.f64 (/.f64 y z) (/.f64 x z)) (fma.f64 (/.f64 (log.f64 y) z) (+.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64))) z)) |
(-.f64 (/.f64 (fma.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) y)) (*.f64 (-.f64 y x) (log.f64 y))) (*.f64 (-.f64 y x) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) y)))) z) |
| Outputs |
|---|
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) |
5 calls:
| 35.0ms | x |
| 29.0ms | (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) |
| 29.0ms | y |
| 28.0ms | (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) |
| 28.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | x |
| 99.8% | 1 | y |
| 99.8% | 1 | z |
| 99.8% | 1 | (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) |
| 99.8% | 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)) |
#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 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) 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 (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 z)) z) z)) |
#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 #s(literal 1 binary64) (neg.f64 z)) (*.f64 z z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 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 (neg.f64 z) z) z) (*.f64 z z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (*.f64 (*.f64 z z) z) (/.f64 #s(literal -1 binary64) (*.f64 z z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (*.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 (*.f64 z z) z) z)) (*.f64 (*.f64 z z) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 z) 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 (*.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 #s(literal 1 binary64) z) (/.f64 #s(literal -1 binary64) (*.f64 z z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.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 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 1 binary64) (/.f64 #s(literal 1 binary64) z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (*.f64 (neg.f64 z) (*.f64 (neg.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) z) (/.f64 (*.f64 (*.f64 z z) z) (*.f64 z z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z z)))) (+.f64 #s(literal 0 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 (*.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 #s(literal 1 binary64) (/.f64 z (*.f64 z z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 z z) z) (/.f64 #s(literal -1 binary64) (*.f64 z z))) z) z)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 z z)) (*.f64 (*.f64 (*.f64 z z) z) z)) z)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (*.f64 (neg.f64 z) (*.f64 (*.f64 z z) z)) (*.f64 z z)) (+.f64 #s(literal 0 binary64) 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) #s(literal 0 binary64)) (*.f64 z z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 (*.f64 z z) z) z)) (/.f64 #s(literal 1 binary64) z)) (*.f64 z z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 z) z) 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 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 z)) z)) (+.f64 #s(literal 0 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (*.f64 (*.f64 (*.f64 z z) z) (/.f64 #s(literal 1 binary64) (*.f64 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 1 binary64) (*.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 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 (neg.f64 (*.f64 (*.f64 (*.f64 z z) z) z)) (/.f64 #s(literal 1 binary64) (*.f64 z z))) (+.f64 #s(literal 0 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (neg.f64 z) z) (*.f64 (neg.f64 z) z))) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 z) z) z)) z)) (+.f64 #s(literal 0 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z (*.f64 (*.f64 (neg.f64 z) z) z)) #s(literal 1 binary64))) (+.f64 #s(literal 0 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 z) z) z) z) (/.f64 #s(literal 1 binary64) z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 z)) (/.f64 #s(literal 1 binary64) z))) (+.f64 #s(literal 0 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 (*.f64 z z) z) z) z)) (*.f64 (*.f64 z 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 1 binary64) z) (/.f64 #s(literal 1 binary64) (*.f64 z z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 z z) z) z) (*.f64 z z))) (*.f64 z (*.f64 (*.f64 (*.f64 z z) z) z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 z) z) z) (*.f64 (*.f64 z z) z)) (*.f64 (*.f64 (*.f64 (*.f64 z z) z) z) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z z) (neg.f64 (*.f64 (*.f64 (*.f64 z z) z) z)))) (+.f64 #s(literal 0 binary64) 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) 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 (neg.f64 z) z) z) z) (*.f64 (*.f64 (neg.f64 z) 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 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (*.f64 z z)))) z) z)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 z z) z) z) (*.f64 z z))) (/.f64 #s(literal 1 binary64) z)) (*.f64 (*.f64 (*.f64 z z) z) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 z) z) z) (*.f64 (*.f64 z z) z)) (/.f64 #s(literal 1 binary64) z)) (*.f64 (*.f64 (*.f64 z z) z) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 z) z) z) z) (/.f64 #s(literal 1 binary64) z))) 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 (*.f64 (neg.f64 z) z) z) (*.f64 (*.f64 (*.f64 (neg.f64 z) z) z) z)) (*.f64 z z) #s(literal 0 binary64)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 z z) z) z) z) (*.f64 z z)) (*.f64 z z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 (*.f64 z z) z) z) (*.f64 (*.f64 z z) z))) (*.f64 (*.f64 (*.f64 (*.f64 z z) z) z) z)) z)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z z) (neg.f64 (*.f64 (*.f64 (*.f64 z z) z) 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 (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 z z) z) z) (*.f64 z z))) (*.f64 (neg.f64 z) (*.f64 (*.f64 (*.f64 z z) 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 (neg.f64 z) z) z) (*.f64 (*.f64 z z) z)) (*.f64 (neg.f64 z) (*.f64 (*.f64 (*.f64 z z) z) z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z z))) (*.f64 (*.f64 z z) #s(literal -1 binary64))) (*.f64 (*.f64 z z) (/.f64 #s(literal -1 binary64) (*.f64 z z)))) z)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) 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 (*.f64 z z) z) z) (*.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 (*.f64 (*.f64 (neg.f64 z) z) z) (*.f64 (*.f64 (*.f64 (neg.f64 z) z) z) (*.f64 (*.f64 z z) z))) (*.f64 (*.f64 (*.f64 z z) z) z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z z) (neg.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 z z) z) z) (*.f64 z z)) (*.f64 (*.f64 z z) z)) z)))) (+.f64 #s(literal 0 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 z z) z)) (*.f64 (*.f64 z z) z))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (*.f64 (neg.f64 z) z) (*.f64 (neg.f64 z) z)) (*.f64 #s(literal 0 binary64) (*.f64 (neg.f64 z) z))))) (+.f64 #s(literal 0 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 z) z) z) (*.f64 (*.f64 z z) z)) (*.f64 (*.f64 (*.f64 (*.f64 z z) z) z) (*.f64 (*.f64 (*.f64 z z) z) z)))) (+.f64 #s(literal 0 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (- y (+ (* (+ 1/2 y) (log y)) z)) #s(approx (+ (* (- (neg y) 1/2) (log y)) y) (*.f64 #s(literal -1/2 binary64) (log.f64 y))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z z) (neg.f64 (*.f64 (*.f64 (*.f64 z z) z) z)))) (*.f64 (/.f64 (*.f64 (*.f64 (neg.f64 z) z) z) (*.f64 (*.f64 (*.f64 (neg.f64 z) z) z) z)) (*.f64 z z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (- y (+ (* (+ 1/2 y) (log y)) z)) (fma.f64 #s(approx (- (neg y) 1/2) #s(literal -1/2 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(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y #s(approx (+ (* (+ 1/2 y) (log y)) z) (*.f64 (log.f64 y) y)))) |
#s(approx (- (- (- (+ y x) (* (log y) y)) (* (log y) 1/2)) z) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) |
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) #s(approx (+ (* -1/2 (log y)) x) (*.f64 #s(literal -1/2 binary64) (log.f64 y)))) z) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (- y (+ (* (+ 1/2 y) (log y)) z)) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y (fma.f64 #s(approx (+ 1/2 y) #s(literal 1/2 binary64)) (log.f64 y) z))) |
(-.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) #s(approx (- y (+ (* (+ 1/2 y) (log y)) z)) (fma.f64 (-.f64 (neg.f64 y) #s(literal 1/2 binary64)) (log.f64 y) y))) |
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) z) |
(-.f64 #s(approx (- (- (+ y x) (* (log y) y)) (* (log y) 1/2)) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) z) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 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 y x))) |
#s(approx (- (- (- (+ y x) (* (log y) y)) (* (log y) 1/2)) z) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x))) |
| Outputs |
|---|
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (*.f64 (-.f64 #s(literal 1 binary64) (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 y x))) |
(-.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) (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z))) |
5 calls:
| 40.0ms | (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) |
| 40.0ms | x |
| 31.0ms | y |
| 30.0ms | z |
| 30.0ms | (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.9% | 3 | x |
| 91.1% | 2 | y |
| 94.9% | 4 | z |
| 88.7% | 3 | (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) |
| 89.6% | 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)) |
#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 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) 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 (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 z)) z) z)) |
#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 #s(literal 1 binary64) (neg.f64 z)) (*.f64 z z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 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 (neg.f64 z) z) z) (*.f64 z z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (*.f64 (*.f64 z z) z) (/.f64 #s(literal -1 binary64) (*.f64 z z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (*.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 (*.f64 z z) z) z)) (*.f64 (*.f64 z z) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 z) 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 (*.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 #s(literal 1 binary64) z) (/.f64 #s(literal -1 binary64) (*.f64 z z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.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 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 1 binary64) (/.f64 #s(literal 1 binary64) z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (*.f64 (neg.f64 z) (*.f64 (neg.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) z) (/.f64 (*.f64 (*.f64 z z) z) (*.f64 z z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z z)))) (+.f64 #s(literal 0 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 (*.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 #s(literal 1 binary64) (/.f64 z (*.f64 z z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 z z) z) (/.f64 #s(literal -1 binary64) (*.f64 z z))) z) z)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 z z)) (*.f64 (*.f64 (*.f64 z z) z) z)) z)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (*.f64 (neg.f64 z) (*.f64 (*.f64 z z) z)) (*.f64 z z)) (+.f64 #s(literal 0 binary64) 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) #s(literal 0 binary64)) (*.f64 z z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 (*.f64 z z) z) z)) (/.f64 #s(literal 1 binary64) z)) (*.f64 z z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 z) z) 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 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 z)) z)) (+.f64 #s(literal 0 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (*.f64 (*.f64 (*.f64 z z) z) (/.f64 #s(literal 1 binary64) (*.f64 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 1 binary64) (*.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 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 (neg.f64 (*.f64 (*.f64 (*.f64 z z) z) z)) (/.f64 #s(literal 1 binary64) (*.f64 z z))) (+.f64 #s(literal 0 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (neg.f64 z) z) (*.f64 (neg.f64 z) z))) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 z) z) z)) z)) (+.f64 #s(literal 0 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z (*.f64 (*.f64 (neg.f64 z) z) z)) #s(literal 1 binary64))) (+.f64 #s(literal 0 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 z) z) z) z) (/.f64 #s(literal 1 binary64) z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 z)) (/.f64 #s(literal 1 binary64) z))) (+.f64 #s(literal 0 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 (*.f64 z z) z) z) z)) (*.f64 (*.f64 z 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 1 binary64) z) (/.f64 #s(literal 1 binary64) (*.f64 z z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 z z) z) z) (*.f64 z z))) (*.f64 z (*.f64 (*.f64 (*.f64 z z) z) z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 z) z) z) (*.f64 (*.f64 z z) z)) (*.f64 (*.f64 (*.f64 (*.f64 z z) z) z) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z z) (neg.f64 (*.f64 (*.f64 (*.f64 z z) z) z)))) (+.f64 #s(literal 0 binary64) 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) 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 (neg.f64 z) z) z) z) (*.f64 (*.f64 (neg.f64 z) 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 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (*.f64 z z)))) z) z)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 z z) z) z) (*.f64 z z))) (/.f64 #s(literal 1 binary64) z)) (*.f64 (*.f64 (*.f64 z z) z) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 z) z) z) (*.f64 (*.f64 z z) z)) (/.f64 #s(literal 1 binary64) z)) (*.f64 (*.f64 (*.f64 z z) z) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 z) z) z) z) (/.f64 #s(literal 1 binary64) z))) 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 (*.f64 (neg.f64 z) z) z) (*.f64 (*.f64 (*.f64 (neg.f64 z) z) z) z)) (*.f64 z z) #s(literal 0 binary64)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 z z) z) z) z) (*.f64 z z)) (*.f64 z z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 (*.f64 z z) z) z) (*.f64 (*.f64 z z) z))) (*.f64 (*.f64 (*.f64 (*.f64 z z) z) z) z)) z)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z z) (neg.f64 (*.f64 (*.f64 (*.f64 z z) z) 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 (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 z z) z) z) (*.f64 z z))) (*.f64 (neg.f64 z) (*.f64 (*.f64 (*.f64 z z) 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 (neg.f64 z) z) z) (*.f64 (*.f64 z z) z)) (*.f64 (neg.f64 z) (*.f64 (*.f64 (*.f64 z z) z) z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z z))) (*.f64 (*.f64 z z) #s(literal -1 binary64))) (*.f64 (*.f64 z z) (/.f64 #s(literal -1 binary64) (*.f64 z z)))) z)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) 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 (*.f64 z z) z) z) (*.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 (*.f64 (*.f64 (neg.f64 z) z) z) (*.f64 (*.f64 (*.f64 (neg.f64 z) z) z) (*.f64 (*.f64 z z) z))) (*.f64 (*.f64 (*.f64 z z) z) z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z z) (neg.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 z z) z) z) (*.f64 z z)) (*.f64 (*.f64 z z) z)) z)))) (+.f64 #s(literal 0 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 z z) z)) (*.f64 (*.f64 z z) z))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (*.f64 (neg.f64 z) z) (*.f64 (neg.f64 z) z)) (*.f64 #s(literal 0 binary64) (*.f64 (neg.f64 z) z))))) (+.f64 #s(literal 0 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 z) z) z) (*.f64 (*.f64 z z) z)) (*.f64 (*.f64 (*.f64 (*.f64 z z) z) z) (*.f64 (*.f64 (*.f64 z z) z) z)))) (+.f64 #s(literal 0 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (- y (+ (* (+ 1/2 y) (log y)) z)) #s(approx (+ (* (- (neg y) 1/2) (log y)) y) (*.f64 #s(literal -1/2 binary64) (log.f64 y))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z z) (neg.f64 (*.f64 (*.f64 (*.f64 z z) z) z)))) (*.f64 (/.f64 (*.f64 (*.f64 (neg.f64 z) z) z) (*.f64 (*.f64 (*.f64 (neg.f64 z) z) z) z)) (*.f64 z z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (- y (+ (* (+ 1/2 y) (log y)) z)) (fma.f64 #s(approx (- (neg y) 1/2) #s(literal -1/2 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(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y #s(approx (+ (* (+ 1/2 y) (log y)) z) (*.f64 (log.f64 y) y)))) |
#s(approx (- (- (- (+ y x) (* (log y) y)) (* (log y) 1/2)) z) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) |
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) #s(approx (+ (* -1/2 (log y)) x) (*.f64 #s(literal -1/2 binary64) (log.f64 y)))) z) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (- y (+ (* (+ 1/2 y) (log y)) z)) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y (fma.f64 #s(approx (+ 1/2 y) #s(literal 1/2 binary64)) (log.f64 y) z))) |
(-.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) #s(approx (- y (+ (* (+ 1/2 y) (log y)) z)) (fma.f64 (-.f64 (neg.f64 y) #s(literal 1/2 binary64)) (log.f64 y) y))) |
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) z) |
(-.f64 #s(approx (- (- (+ y x) (* (log y) y)) (* (log y) 1/2)) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) z) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 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 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) z) |
3 calls:
| 72.0ms | y |
| 55.0ms | x |
| 28.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 90.7% | 2 | y |
| 91.5% | 3 | x |
| 77.4% | 3 | z |
Compiled 12 to 9 computations (25% saved)
| Inputs |
|---|
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 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 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) 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 (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 z)) z) z)) |
#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 #s(literal 1 binary64) (neg.f64 z)) (*.f64 z z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 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 (neg.f64 z) z) z) (*.f64 z z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (*.f64 (*.f64 z z) z) (/.f64 #s(literal -1 binary64) (*.f64 z z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (*.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 (*.f64 z z) z) z)) (*.f64 (*.f64 z z) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 z) 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 (*.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 #s(literal 1 binary64) z) (/.f64 #s(literal -1 binary64) (*.f64 z z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.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 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 1 binary64) (/.f64 #s(literal 1 binary64) z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (*.f64 (neg.f64 z) (*.f64 (neg.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) z) (/.f64 (*.f64 (*.f64 z z) z) (*.f64 z z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z z)))) (+.f64 #s(literal 0 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 (*.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 #s(literal 1 binary64) (/.f64 z (*.f64 z z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 z z) z) (/.f64 #s(literal -1 binary64) (*.f64 z z))) z) z)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 z z)) (*.f64 (*.f64 (*.f64 z z) z) z)) z)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (*.f64 (neg.f64 z) (*.f64 (*.f64 z z) z)) (*.f64 z z)) (+.f64 #s(literal 0 binary64) 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) #s(literal 0 binary64)) (*.f64 z z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 (*.f64 z z) z) z)) (/.f64 #s(literal 1 binary64) z)) (*.f64 z z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 z) z) 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 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 z)) z)) (+.f64 #s(literal 0 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (*.f64 (*.f64 (*.f64 z z) z) (/.f64 #s(literal 1 binary64) (*.f64 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 1 binary64) (*.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 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 (neg.f64 (*.f64 (*.f64 (*.f64 z z) z) z)) (/.f64 #s(literal 1 binary64) (*.f64 z z))) (+.f64 #s(literal 0 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (neg.f64 z) z) (*.f64 (neg.f64 z) z))) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 z) z) z)) z)) (+.f64 #s(literal 0 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z (*.f64 (*.f64 (neg.f64 z) z) z)) #s(literal 1 binary64))) (+.f64 #s(literal 0 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 z) z) z) z) (/.f64 #s(literal 1 binary64) z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 z)) (/.f64 #s(literal 1 binary64) z))) (+.f64 #s(literal 0 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 (*.f64 z z) z) z) z)) (*.f64 (*.f64 z 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 1 binary64) z) (/.f64 #s(literal 1 binary64) (*.f64 z z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 z z) z) z) (*.f64 z z))) (*.f64 z (*.f64 (*.f64 (*.f64 z z) z) z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 z) z) z) (*.f64 (*.f64 z z) z)) (*.f64 (*.f64 (*.f64 (*.f64 z z) z) z) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z z) (neg.f64 (*.f64 (*.f64 (*.f64 z z) z) z)))) (+.f64 #s(literal 0 binary64) 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) 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 (neg.f64 z) z) z) z) (*.f64 (*.f64 (neg.f64 z) 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 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (*.f64 z z)))) z) z)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 z z) z) z) (*.f64 z z))) (/.f64 #s(literal 1 binary64) z)) (*.f64 (*.f64 (*.f64 z z) z) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 z) z) z) (*.f64 (*.f64 z z) z)) (/.f64 #s(literal 1 binary64) z)) (*.f64 (*.f64 (*.f64 z z) z) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 z) z) z) z) (/.f64 #s(literal 1 binary64) z))) 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 (*.f64 (neg.f64 z) z) z) (*.f64 (*.f64 (*.f64 (neg.f64 z) z) z) z)) (*.f64 z z) #s(literal 0 binary64)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 z z) z) z) z) (*.f64 z z)) (*.f64 z z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 (*.f64 z z) z) z) (*.f64 (*.f64 z z) z))) (*.f64 (*.f64 (*.f64 (*.f64 z z) z) z) z)) z)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z z) (neg.f64 (*.f64 (*.f64 (*.f64 z z) z) 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 (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 z z) z) z) (*.f64 z z))) (*.f64 (neg.f64 z) (*.f64 (*.f64 (*.f64 z z) 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 (neg.f64 z) z) z) (*.f64 (*.f64 z z) z)) (*.f64 (neg.f64 z) (*.f64 (*.f64 (*.f64 z z) z) z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z z))) (*.f64 (*.f64 z z) #s(literal -1 binary64))) (*.f64 (*.f64 z z) (/.f64 #s(literal -1 binary64) (*.f64 z z)))) z)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) 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 (*.f64 z z) z) z) (*.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 (*.f64 (*.f64 (neg.f64 z) z) z) (*.f64 (*.f64 (*.f64 (neg.f64 z) z) z) (*.f64 (*.f64 z z) z))) (*.f64 (*.f64 (*.f64 z z) z) z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z z) (neg.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 z z) z) z) (*.f64 z z)) (*.f64 (*.f64 z z) z)) z)))) (+.f64 #s(literal 0 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 z z) z)) (*.f64 (*.f64 z z) z))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (*.f64 (neg.f64 z) z) (*.f64 (neg.f64 z) z)) (*.f64 #s(literal 0 binary64) (*.f64 (neg.f64 z) z))))) (+.f64 #s(literal 0 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 z) z) z) (*.f64 (*.f64 z z) z)) (*.f64 (*.f64 (*.f64 (*.f64 z z) z) z) (*.f64 (*.f64 (*.f64 z z) z) z)))) (+.f64 #s(literal 0 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (- y (+ (* (+ 1/2 y) (log y)) z)) #s(approx (+ (* (- (neg y) 1/2) (log y)) y) (*.f64 #s(literal -1/2 binary64) (log.f64 y))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z z) (neg.f64 (*.f64 (*.f64 (*.f64 z z) z) z)))) (*.f64 (/.f64 (*.f64 (*.f64 (neg.f64 z) z) z) (*.f64 (*.f64 (*.f64 (neg.f64 z) z) z) z)) (*.f64 z z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (- y (+ (* (+ 1/2 y) (log y)) z)) (fma.f64 #s(approx (- (neg y) 1/2) #s(literal -1/2 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(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y #s(approx (+ (* (+ 1/2 y) (log y)) z) (*.f64 (log.f64 y) y)))) |
#s(approx (- (- (- (+ y x) (* (log y) y)) (* (log y) 1/2)) z) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) |
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) #s(approx (+ (* -1/2 (log y)) x) (*.f64 #s(literal -1/2 binary64) (log.f64 y)))) z) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (- y (+ (* (+ 1/2 y) (log y)) z)) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y (fma.f64 #s(approx (+ 1/2 y) #s(literal 1/2 binary64)) (log.f64 y) z))) |
(-.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) #s(approx (- y (+ (* (+ 1/2 y) (log y)) z)) (fma.f64 (-.f64 (neg.f64 y) #s(literal 1/2 binary64)) (log.f64 y) y))) |
| 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) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) |
4 calls:
| 25.0ms | y |
| 23.0ms | x |
| 23.0ms | (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) |
| 23.0ms | (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 76.7% | 3 | (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) |
| 78.4% | 2 | (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) |
| 75.4% | 3 | x |
| 84.3% | 2 | y |
Compiled 36 to 25 computations (30.6% saved)
| Inputs |
|---|
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 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 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) 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 (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 z)) z) z)) |
#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 #s(literal 1 binary64) (neg.f64 z)) (*.f64 z z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 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 (neg.f64 z) z) z) (*.f64 z z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (*.f64 (*.f64 z z) z) (/.f64 #s(literal -1 binary64) (*.f64 z z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (*.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 (*.f64 z z) z) z)) (*.f64 (*.f64 z z) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 z) 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 (*.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 #s(literal 1 binary64) z) (/.f64 #s(literal -1 binary64) (*.f64 z z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.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 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 1 binary64) (/.f64 #s(literal 1 binary64) z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (*.f64 (neg.f64 z) (*.f64 (neg.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) z) (/.f64 (*.f64 (*.f64 z z) z) (*.f64 z z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z z)))) (+.f64 #s(literal 0 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 (*.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 #s(literal 1 binary64) (/.f64 z (*.f64 z z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 z z) z) (/.f64 #s(literal -1 binary64) (*.f64 z z))) z) z)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 z z)) (*.f64 (*.f64 (*.f64 z z) z) z)) z)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (*.f64 (neg.f64 z) (*.f64 (*.f64 z z) z)) (*.f64 z z)) (+.f64 #s(literal 0 binary64) 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) #s(literal 0 binary64)) (*.f64 z z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 (*.f64 z z) z) z)) (/.f64 #s(literal 1 binary64) z)) (*.f64 z z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 z) z) 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 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 z)) z)) (+.f64 #s(literal 0 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (*.f64 (*.f64 (*.f64 z z) z) (/.f64 #s(literal 1 binary64) (*.f64 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 1 binary64) (*.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 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 (neg.f64 (*.f64 (*.f64 (*.f64 z z) z) z)) (/.f64 #s(literal 1 binary64) (*.f64 z z))) (+.f64 #s(literal 0 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (neg.f64 z) z) (*.f64 (neg.f64 z) z))) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 z) z) z)) z)) (+.f64 #s(literal 0 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z (*.f64 (*.f64 (neg.f64 z) z) z)) #s(literal 1 binary64))) (+.f64 #s(literal 0 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 z) z) z) z) (/.f64 #s(literal 1 binary64) z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 z)) (/.f64 #s(literal 1 binary64) z))) (+.f64 #s(literal 0 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 (*.f64 z z) z) z) z)) (*.f64 (*.f64 z 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 1 binary64) z) (/.f64 #s(literal 1 binary64) (*.f64 z z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 z z) z) z) (*.f64 z z))) (*.f64 z (*.f64 (*.f64 (*.f64 z z) z) z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 z) z) z) (*.f64 (*.f64 z z) z)) (*.f64 (*.f64 (*.f64 (*.f64 z z) z) z) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z z) (neg.f64 (*.f64 (*.f64 (*.f64 z z) z) z)))) (+.f64 #s(literal 0 binary64) 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) 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 (neg.f64 z) z) z) z) (*.f64 (*.f64 (neg.f64 z) 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 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (*.f64 z z)))) z) z)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 z z) z) z) (*.f64 z z))) (/.f64 #s(literal 1 binary64) z)) (*.f64 (*.f64 (*.f64 z z) z) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 z) z) z) (*.f64 (*.f64 z z) z)) (/.f64 #s(literal 1 binary64) z)) (*.f64 (*.f64 (*.f64 z z) z) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 z) z) z) z) (/.f64 #s(literal 1 binary64) z))) 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 (*.f64 (neg.f64 z) z) z) (*.f64 (*.f64 (*.f64 (neg.f64 z) z) z) z)) (*.f64 z z) #s(literal 0 binary64)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 z z) z) z) z) (*.f64 z z)) (*.f64 z z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 (*.f64 z z) z) z) (*.f64 (*.f64 z z) z))) (*.f64 (*.f64 (*.f64 (*.f64 z z) z) z) z)) z)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z z) (neg.f64 (*.f64 (*.f64 (*.f64 z z) z) 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 (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 z z) z) z) (*.f64 z z))) (*.f64 (neg.f64 z) (*.f64 (*.f64 (*.f64 z z) 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 (neg.f64 z) z) z) (*.f64 (*.f64 z z) z)) (*.f64 (neg.f64 z) (*.f64 (*.f64 (*.f64 z z) z) z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z z))) (*.f64 (*.f64 z z) #s(literal -1 binary64))) (*.f64 (*.f64 z z) (/.f64 #s(literal -1 binary64) (*.f64 z z)))) z)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) 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 (*.f64 z z) z) z) (*.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 (*.f64 (*.f64 (neg.f64 z) z) z) (*.f64 (*.f64 (*.f64 (neg.f64 z) z) z) (*.f64 (*.f64 z z) z))) (*.f64 (*.f64 (*.f64 z z) z) z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z z) (neg.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 z z) z) z) (*.f64 z z)) (*.f64 (*.f64 z z) z)) z)))) (+.f64 #s(literal 0 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 z z) z)) (*.f64 (*.f64 z z) z))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (*.f64 (neg.f64 z) z) (*.f64 (neg.f64 z) z)) (*.f64 #s(literal 0 binary64) (*.f64 (neg.f64 z) z))))) (+.f64 #s(literal 0 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 z) z) z) (*.f64 (*.f64 z z) z)) (*.f64 (*.f64 (*.f64 (*.f64 z z) z) z) (*.f64 (*.f64 (*.f64 z z) z) z)))) (+.f64 #s(literal 0 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (- y (+ (* (+ 1/2 y) (log y)) z)) #s(approx (+ (* (- (neg y) 1/2) (log y)) y) (*.f64 #s(literal -1/2 binary64) (log.f64 y))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z z) (neg.f64 (*.f64 (*.f64 (*.f64 z z) z) z)))) (*.f64 (/.f64 (*.f64 (*.f64 (neg.f64 z) z) z) (*.f64 (*.f64 (*.f64 (neg.f64 z) z) z) z)) (*.f64 z z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (- y (+ (* (+ 1/2 y) (log y)) z)) (fma.f64 #s(approx (- (neg y) 1/2) #s(literal -1/2 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(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y #s(approx (+ (* (+ 1/2 y) (log y)) z) (*.f64 (log.f64 y) y)))) |
#s(approx (- (- (- (+ y x) (* (log y) y)) (* (log y) 1/2)) z) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) |
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) #s(approx (+ (* -1/2 (log y)) x) (*.f64 #s(literal -1/2 binary64) (log.f64 y)))) z) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (- y (+ (* (+ 1/2 y) (log y)) z)) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y (fma.f64 #s(approx (+ 1/2 y) #s(literal 1/2 binary64)) (log.f64 y) z))) |
| Outputs |
|---|
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) #s(approx (+ (* -1/2 (log y)) x) (*.f64 #s(literal -1/2 binary64) (log.f64 y)))) z) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) |
5 calls:
| 40.0ms | (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) |
| 32.0ms | (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) |
| 22.0ms | x |
| 21.0ms | y |
| 20.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 48.5% | 4 | x |
| 56.3% | 2 | (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) |
| 61.2% | 3 | z |
| 59.4% | 2 | (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) |
| 60.6% | 2 | y |
Compiled 40 to 28 computations (30% saved)
| Inputs |
|---|
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 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 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) 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 (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 z)) z) z)) |
#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 #s(literal 1 binary64) (neg.f64 z)) (*.f64 z z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 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 (neg.f64 z) z) z) (*.f64 z z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (*.f64 (*.f64 z z) z) (/.f64 #s(literal -1 binary64) (*.f64 z z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (*.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 (*.f64 z z) z) z)) (*.f64 (*.f64 z z) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 z) 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 (*.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 #s(literal 1 binary64) z) (/.f64 #s(literal -1 binary64) (*.f64 z z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.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 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 1 binary64) (/.f64 #s(literal 1 binary64) z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (*.f64 (neg.f64 z) (*.f64 (neg.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) z) (/.f64 (*.f64 (*.f64 z z) z) (*.f64 z z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z z)))) (+.f64 #s(literal 0 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 (*.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 #s(literal 1 binary64) (/.f64 z (*.f64 z z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 z z) z) (/.f64 #s(literal -1 binary64) (*.f64 z z))) z) z)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 z z)) (*.f64 (*.f64 (*.f64 z z) z) z)) z)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (*.f64 (neg.f64 z) (*.f64 (*.f64 z z) z)) (*.f64 z z)) (+.f64 #s(literal 0 binary64) 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) #s(literal 0 binary64)) (*.f64 z z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 (*.f64 z z) z) z)) (/.f64 #s(literal 1 binary64) z)) (*.f64 z z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 z) z) 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 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 z)) z)) (+.f64 #s(literal 0 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (*.f64 (*.f64 (*.f64 z z) z) (/.f64 #s(literal 1 binary64) (*.f64 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 1 binary64) (*.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 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 (neg.f64 (*.f64 (*.f64 (*.f64 z z) z) z)) (/.f64 #s(literal 1 binary64) (*.f64 z z))) (+.f64 #s(literal 0 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (neg.f64 z) z) (*.f64 (neg.f64 z) z))) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 z) z) z)) z)) (+.f64 #s(literal 0 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z (*.f64 (*.f64 (neg.f64 z) z) z)) #s(literal 1 binary64))) (+.f64 #s(literal 0 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 z) z) z) z) (/.f64 #s(literal 1 binary64) z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 z)) (/.f64 #s(literal 1 binary64) z))) (+.f64 #s(literal 0 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 (*.f64 z z) z) z) z)) (*.f64 (*.f64 z 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 1 binary64) z) (/.f64 #s(literal 1 binary64) (*.f64 z z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 z z) z) z) (*.f64 z z))) (*.f64 z (*.f64 (*.f64 (*.f64 z z) z) z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 z) z) z) (*.f64 (*.f64 z z) z)) (*.f64 (*.f64 (*.f64 (*.f64 z z) z) z) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z z) (neg.f64 (*.f64 (*.f64 (*.f64 z z) z) z)))) (+.f64 #s(literal 0 binary64) 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) 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 (neg.f64 z) z) z) z) (*.f64 (*.f64 (neg.f64 z) 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 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (*.f64 z z)))) z) z)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 z z) z) z) (*.f64 z z))) (/.f64 #s(literal 1 binary64) z)) (*.f64 (*.f64 (*.f64 z z) z) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 z) z) z) (*.f64 (*.f64 z z) z)) (/.f64 #s(literal 1 binary64) z)) (*.f64 (*.f64 (*.f64 z z) z) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 z) z) z) z) (/.f64 #s(literal 1 binary64) z))) 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 (*.f64 (neg.f64 z) z) z) (*.f64 (*.f64 (*.f64 (neg.f64 z) z) z) z)) (*.f64 z z) #s(literal 0 binary64)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 z z) z) z) z) (*.f64 z z)) (*.f64 z z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 (*.f64 z z) z) z) (*.f64 (*.f64 z z) z))) (*.f64 (*.f64 (*.f64 (*.f64 z z) z) z) z)) z)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z z) (neg.f64 (*.f64 (*.f64 (*.f64 z z) z) 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 (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 z z) z) z) (*.f64 z z))) (*.f64 (neg.f64 z) (*.f64 (*.f64 (*.f64 z z) 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 (neg.f64 z) z) z) (*.f64 (*.f64 z z) z)) (*.f64 (neg.f64 z) (*.f64 (*.f64 (*.f64 z z) z) z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z z))) (*.f64 (*.f64 z z) #s(literal -1 binary64))) (*.f64 (*.f64 z z) (/.f64 #s(literal -1 binary64) (*.f64 z z)))) z)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) 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 (*.f64 z z) z) z) (*.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 (*.f64 (*.f64 (neg.f64 z) z) z) (*.f64 (*.f64 (*.f64 (neg.f64 z) z) z) (*.f64 (*.f64 z z) z))) (*.f64 (*.f64 (*.f64 z z) z) z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z z) (neg.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 z z) z) z) (*.f64 z z)) (*.f64 (*.f64 z z) z)) z)))) (+.f64 #s(literal 0 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 z z) z)) (*.f64 (*.f64 z z) z))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (*.f64 (neg.f64 z) z) (*.f64 (neg.f64 z) z)) (*.f64 #s(literal 0 binary64) (*.f64 (neg.f64 z) z))))) (+.f64 #s(literal 0 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 z) z) z) (*.f64 (*.f64 z z) z)) (*.f64 (*.f64 (*.f64 (*.f64 z z) z) z) (*.f64 (*.f64 (*.f64 z z) z) z)))) (+.f64 #s(literal 0 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (- y (+ (* (+ 1/2 y) (log y)) z)) #s(approx (+ (* (- (neg y) 1/2) (log y)) y) (*.f64 #s(literal -1/2 binary64) (log.f64 y))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z z) (neg.f64 (*.f64 (*.f64 (*.f64 z z) z) z)))) (*.f64 (/.f64 (*.f64 (*.f64 (neg.f64 z) z) z) (*.f64 (*.f64 (*.f64 (neg.f64 z) z) z) z)) (*.f64 z z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (- y (+ (* (+ 1/2 y) (log y)) z)) (fma.f64 #s(approx (- (neg y) 1/2) #s(literal -1/2 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(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y #s(approx (+ (* (+ 1/2 y) (log y)) z) (*.f64 (log.f64 y) y)))) |
#s(approx (- (- (- (+ y x) (* (log y) y)) (* (log y) 1/2)) z) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) |
| Outputs |
|---|
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (- y (+ (* (+ 1/2 y) (log y)) z)) (fma.f64 #s(approx (- (neg y) 1/2) #s(literal -1/2 binary64)) (log.f64 y) y))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z)) |
4 calls:
| 21.0ms | y |
| 21.0ms | z |
| 20.0ms | (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) |
| 20.0ms | (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 55.6% | 3 | (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) |
| 49.5% | 3 | (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) |
| 48.3% | 3 | z |
| 47.9% | 2 | y |
Compiled 36 to 25 computations (30.6% saved)
| Inputs |
|---|
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 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 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) 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 (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 z)) z) z)) |
#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 #s(literal 1 binary64) (neg.f64 z)) (*.f64 z z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 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 (neg.f64 z) z) z) (*.f64 z z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (*.f64 (*.f64 z z) z) (/.f64 #s(literal -1 binary64) (*.f64 z z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (*.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 (*.f64 z z) z) z)) (*.f64 (*.f64 z z) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 z) 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 (*.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 #s(literal 1 binary64) z) (/.f64 #s(literal -1 binary64) (*.f64 z z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.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 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 1 binary64) (/.f64 #s(literal 1 binary64) z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (*.f64 (neg.f64 z) (*.f64 (neg.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) z) (/.f64 (*.f64 (*.f64 z z) z) (*.f64 z z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z z)))) (+.f64 #s(literal 0 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 (*.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 #s(literal 1 binary64) (/.f64 z (*.f64 z z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 z z) z) (/.f64 #s(literal -1 binary64) (*.f64 z z))) z) z)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 z z)) (*.f64 (*.f64 (*.f64 z z) z) z)) z)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (*.f64 (neg.f64 z) (*.f64 (*.f64 z z) z)) (*.f64 z z)) (+.f64 #s(literal 0 binary64) 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) #s(literal 0 binary64)) (*.f64 z z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 (*.f64 z z) z) z)) (/.f64 #s(literal 1 binary64) z)) (*.f64 z z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 z) z) 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 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 z)) z)) (+.f64 #s(literal 0 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (*.f64 (*.f64 (*.f64 z z) z) (/.f64 #s(literal 1 binary64) (*.f64 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 1 binary64) (*.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 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 (neg.f64 (*.f64 (*.f64 (*.f64 z z) z) z)) (/.f64 #s(literal 1 binary64) (*.f64 z z))) (+.f64 #s(literal 0 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (neg.f64 z) z) (*.f64 (neg.f64 z) z))) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 z) z) z)) z)) (+.f64 #s(literal 0 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z (*.f64 (*.f64 (neg.f64 z) z) z)) #s(literal 1 binary64))) (+.f64 #s(literal 0 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 z) z) z) z) (/.f64 #s(literal 1 binary64) z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 z)) (/.f64 #s(literal 1 binary64) z))) (+.f64 #s(literal 0 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 (*.f64 z z) z) z) z)) (*.f64 (*.f64 z 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 1 binary64) z) (/.f64 #s(literal 1 binary64) (*.f64 z z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 z z) z) z) (*.f64 z z))) (*.f64 z (*.f64 (*.f64 (*.f64 z z) z) z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 z) z) z) (*.f64 (*.f64 z z) z)) (*.f64 (*.f64 (*.f64 (*.f64 z z) z) z) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z z) (neg.f64 (*.f64 (*.f64 (*.f64 z z) z) z)))) (+.f64 #s(literal 0 binary64) 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) 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 (neg.f64 z) z) z) z) (*.f64 (*.f64 (neg.f64 z) 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 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (*.f64 z z)))) z) z)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 z z) z) z) (*.f64 z z))) (/.f64 #s(literal 1 binary64) z)) (*.f64 (*.f64 (*.f64 z z) z) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 z) z) z) (*.f64 (*.f64 z z) z)) (/.f64 #s(literal 1 binary64) z)) (*.f64 (*.f64 (*.f64 z z) z) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 z) z) z) z) (/.f64 #s(literal 1 binary64) z))) 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 (*.f64 (neg.f64 z) z) z) (*.f64 (*.f64 (*.f64 (neg.f64 z) z) z) z)) (*.f64 z z) #s(literal 0 binary64)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 z z) z) z) z) (*.f64 z z)) (*.f64 z z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 (*.f64 z z) z) z) (*.f64 (*.f64 z z) z))) (*.f64 (*.f64 (*.f64 (*.f64 z z) z) z) z)) z)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z z) (neg.f64 (*.f64 (*.f64 (*.f64 z z) z) 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 (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 z z) z) z) (*.f64 z z))) (*.f64 (neg.f64 z) (*.f64 (*.f64 (*.f64 z z) 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 (neg.f64 z) z) z) (*.f64 (*.f64 z z) z)) (*.f64 (neg.f64 z) (*.f64 (*.f64 (*.f64 z z) z) z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z z))) (*.f64 (*.f64 z z) #s(literal -1 binary64))) (*.f64 (*.f64 z z) (/.f64 #s(literal -1 binary64) (*.f64 z z)))) z)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) 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 (*.f64 z z) z) z) (*.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 (*.f64 (*.f64 (neg.f64 z) z) z) (*.f64 (*.f64 (*.f64 (neg.f64 z) z) z) (*.f64 (*.f64 z z) z))) (*.f64 (*.f64 (*.f64 z z) z) z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z z) (neg.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 z z) z) z) (*.f64 z z)) (*.f64 (*.f64 z z) z)) z)))) (+.f64 #s(literal 0 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 z z) z)) (*.f64 (*.f64 z z) z))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (*.f64 (neg.f64 z) z) (*.f64 (neg.f64 z) z)) (*.f64 #s(literal 0 binary64) (*.f64 (neg.f64 z) z))))) (+.f64 #s(literal 0 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 z) z) z) (*.f64 (*.f64 z z) z)) (*.f64 (*.f64 (*.f64 (*.f64 z z) z) z) (*.f64 (*.f64 (*.f64 z z) z) z)))) (+.f64 #s(literal 0 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (- y (+ (* (+ 1/2 y) (log y)) z)) #s(approx (+ (* (- (neg y) 1/2) (log y)) y) (*.f64 #s(literal -1/2 binary64) (log.f64 y))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z z) (neg.f64 (*.f64 (*.f64 (*.f64 z z) z) z)))) (*.f64 (/.f64 (*.f64 (*.f64 (neg.f64 z) z) z) (*.f64 (*.f64 (*.f64 (neg.f64 z) z) z) z)) (*.f64 z z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (- y (+ (* (+ 1/2 y) (log y)) z)) (fma.f64 #s(approx (- (neg y) 1/2) #s(literal -1/2 binary64)) (log.f64 y) y))) |
| Outputs |
|---|
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (- y (+ (* (+ 1/2 y) (log y)) z)) #s(approx (+ (* (- (neg y) 1/2) (log y)) y) (*.f64 #s(literal -1/2 binary64) (log.f64 y))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z)) |
5 calls:
| 24.0ms | (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) |
| 20.0ms | x |
| 20.0ms | y |
| 20.0ms | (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) |
| 18.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 29.0% | 1 | x |
| 42.3% | 3 | z |
| 29.0% | 1 | y |
| 32.9% | 3 | (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) |
| 41.9% | 3 | (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) |
Compiled 40 to 28 computations (30% saved)
Total -18.0b remaining (-39.6%)
Threshold costs -18b (-39.6%)
| Inputs |
|---|
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 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 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) 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 (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 z)) z) z)) |
#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 #s(literal 1 binary64) (neg.f64 z)) (*.f64 z z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 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 (neg.f64 z) z) z) (*.f64 z z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (*.f64 (*.f64 z z) z) (/.f64 #s(literal -1 binary64) (*.f64 z z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (*.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 (*.f64 z z) z) z)) (*.f64 (*.f64 z z) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 z) 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 (*.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 #s(literal 1 binary64) z) (/.f64 #s(literal -1 binary64) (*.f64 z z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.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 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 1 binary64) (/.f64 #s(literal 1 binary64) z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (*.f64 (neg.f64 z) (*.f64 (neg.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) z) (/.f64 (*.f64 (*.f64 z z) z) (*.f64 z z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z z)))) (+.f64 #s(literal 0 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 (*.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 #s(literal 1 binary64) (/.f64 z (*.f64 z z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 z z) z) (/.f64 #s(literal -1 binary64) (*.f64 z z))) z) z)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 z z)) (*.f64 (*.f64 (*.f64 z z) z) z)) z)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (*.f64 (neg.f64 z) (*.f64 (*.f64 z z) z)) (*.f64 z z)) (+.f64 #s(literal 0 binary64) 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) #s(literal 0 binary64)) (*.f64 z z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 (*.f64 z z) z) z)) (/.f64 #s(literal 1 binary64) z)) (*.f64 z z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 z) z) 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 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 z)) z)) (+.f64 #s(literal 0 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (*.f64 (*.f64 (*.f64 z z) z) (/.f64 #s(literal 1 binary64) (*.f64 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 1 binary64) (*.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 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 (neg.f64 (*.f64 (*.f64 (*.f64 z z) z) z)) (/.f64 #s(literal 1 binary64) (*.f64 z z))) (+.f64 #s(literal 0 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (neg.f64 z) z) (*.f64 (neg.f64 z) z))) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 z) z) z)) z)) (+.f64 #s(literal 0 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z (*.f64 (*.f64 (neg.f64 z) z) z)) #s(literal 1 binary64))) (+.f64 #s(literal 0 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 z) z) z) z) (/.f64 #s(literal 1 binary64) z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 z)) (/.f64 #s(literal 1 binary64) z))) (+.f64 #s(literal 0 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 (*.f64 z z) z) z) z)) (*.f64 (*.f64 z 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 1 binary64) z) (/.f64 #s(literal 1 binary64) (*.f64 z z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 z z) z) z) (*.f64 z z))) (*.f64 z (*.f64 (*.f64 (*.f64 z z) z) z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 z) z) z) (*.f64 (*.f64 z z) z)) (*.f64 (*.f64 (*.f64 (*.f64 z z) z) z) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z z) (neg.f64 (*.f64 (*.f64 (*.f64 z z) z) z)))) (+.f64 #s(literal 0 binary64) 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) 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 (neg.f64 z) z) z) z) (*.f64 (*.f64 (neg.f64 z) 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 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (*.f64 z z)))) z) z)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 z z) z) z) (*.f64 z z))) (/.f64 #s(literal 1 binary64) z)) (*.f64 (*.f64 (*.f64 z z) z) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 z) z) z) (*.f64 (*.f64 z z) z)) (/.f64 #s(literal 1 binary64) z)) (*.f64 (*.f64 (*.f64 z z) z) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 z) z) z) z) (/.f64 #s(literal 1 binary64) z))) 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 (*.f64 (neg.f64 z) z) z) (*.f64 (*.f64 (*.f64 (neg.f64 z) z) z) z)) (*.f64 z z) #s(literal 0 binary64)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 z z) z) z) z) (*.f64 z z)) (*.f64 z z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 (*.f64 z z) z) z) (*.f64 (*.f64 z z) z))) (*.f64 (*.f64 (*.f64 (*.f64 z z) z) z) z)) z)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z z) (neg.f64 (*.f64 (*.f64 (*.f64 z z) z) 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 (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 z z) z) z) (*.f64 z z))) (*.f64 (neg.f64 z) (*.f64 (*.f64 (*.f64 z z) 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 (neg.f64 z) z) z) (*.f64 (*.f64 z z) z)) (*.f64 (neg.f64 z) (*.f64 (*.f64 (*.f64 z z) z) z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z z))) (*.f64 (*.f64 z z) #s(literal -1 binary64))) (*.f64 (*.f64 z z) (/.f64 #s(literal -1 binary64) (*.f64 z z)))) z)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) 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 (*.f64 z z) z) z) (*.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 (*.f64 (*.f64 (neg.f64 z) z) z) (*.f64 (*.f64 (*.f64 (neg.f64 z) z) z) (*.f64 (*.f64 z z) z))) (*.f64 (*.f64 (*.f64 z z) z) z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z z) (neg.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 z z) z) z) (*.f64 z z)) (*.f64 (*.f64 z z) z)) z)))) (+.f64 #s(literal 0 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 z z) z)) (*.f64 (*.f64 z z) z))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (*.f64 (neg.f64 z) z) (*.f64 (neg.f64 z) z)) (*.f64 #s(literal 0 binary64) (*.f64 (neg.f64 z) z))))) (+.f64 #s(literal 0 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 z) z) z) (*.f64 (*.f64 z z) z)) (*.f64 (*.f64 (*.f64 (*.f64 z z) z) z) (*.f64 (*.f64 (*.f64 z z) z) z)))) (+.f64 #s(literal 0 binary64) z))) |
| Outputs |
|---|
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z)) |
5 calls:
| 109.0ms | x |
| 50.0ms | (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) |
| 40.0ms | y |
| 19.0ms | (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) |
| 17.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 29.0% | 1 | x |
| 29.0% | 1 | y |
| 29.0% | 1 | (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) |
| 29.0% | 1 | (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) |
| 29.0% | 1 | z |
Compiled 40 to 28 computations (30% saved)
| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 12.0ms | 2.25242978286579e+109 | 1.2269369816055555e+110 |
| 16.0ms | 2.828234267504466e+19 | 1.7212692216321445e+22 |
| 58.0ms | -1.4699799257290655e+53 | -3.097450674560692e+45 |
| 71.0ms | 367× | 0 | valid |
| 0.0ms | 1× | 1 | valid |
Compiled 625 to 416 computations (33.4% saved)
ival-mult: 48.0ms (80.1% of total)ival-log: 5.0ms (8.3% of total)ival-add: 4.0ms (6.7% of total)ival-sub: 3.0ms (5% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 8.0ms | 7.802294411784124e+55 | 2.7271836596202674e+56 |
| 5.0ms | 80× | 0 | valid |
Compiled 143 to 101 computations (29.4% saved)
ival-sub: 1.0ms (32.9% of total)ival-log: 1.0ms (32.9% of total)ival-add: 1.0ms (32.9% 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 |
|---|---|---|
| 8.0ms | 1.8638508353585912e+93 | 4.977646043535193e+93 |
| 5.0ms | 80× | 0 | valid |
Compiled 133 to 96 computations (27.8% saved)
ival-sub: 1.0ms (33.4% of total)ival-log: 1.0ms (33.4% of total)ival-add: 1.0ms (33.4% 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 |
|---|---|---|
| 15.0ms | 442232453314659300.0 | 3.189388403777159e+20 |
| 8.0ms | 128× | 0 | valid |
Compiled 202 to 144 computations (28.7% saved)
ival-log: 2.0ms (41.1% of total)ival-sub: 1.0ms (20.5% of total)ival-add: 1.0ms (20.5% of total)ival-mult: 1.0ms (20.5% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 7.321641335700141e+49 | 1.4699799257290655e+53 |
| 0.0ms | -6.530304033262293 | 12.90909778395832 |
Compiled 18 to 16 computations (11.1% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 101.0ms | 3321441298287.914 | 2.828234267504466e+19 |
| 13.0ms | -1.4699799257290655e+53 | -3.097450674560692e+45 |
| 104.0ms | 272× | 0 | valid |
Compiled 342 to 232 computations (32.2% saved)
ival-sub: 89.0ms (91.6% of total)ival-log: 3.0ms (3.1% of total)ival-add: 3.0ms (3.1% of total)ival-mult: 2.0ms (2.1% 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 |
| 46× | +-commutative_binary64 |
| 40× | sub-neg_binary64 |
| 28× | *-commutative_binary64 |
| 18× | neg-sub0_binary64 |
| 18× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 92 | 438 |
| 1 | 130 | 438 |
| 2 | 172 | 438 |
| 3 | 191 | 438 |
| 4 | 200 | 438 |
| 5 | 201 | 438 |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (-.f64 (-.f64 (+.f64 y x) (*.f64 (log.f64 y) y)) (*.f64 (log.f64 y) #s(literal 1/2 binary64))) z) |
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) |
(if (<=.f64 z #s(literal -65000000000000004959350396709726552141727231115264 binary64)) (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) z) (if (<=.f64 z #s(literal 7600000000000000000000 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))) (if (<=.f64 z #s(literal 28999999999999999682267734823010818041570026289672020310749718784099182472842936578685475026505777974343630848 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) (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)))))) |
(if (<=.f64 y #s(literal 81999999999999996211435305548738091167801321637615239168 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 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) z)) |
(if (<=.f64 y #s(literal 2019999999999999983409259575146179986832506008583800341876396855382448326525330236979657310208 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) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y))) |
(if (<=.f64 y #s(literal 260000000000000000000 binary64)) (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) #s(approx (+ (* -1/2 (log y)) x) (*.f64 #s(literal -1/2 binary64) (log.f64 y)))) z) #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y))) |
(if (<=.f64 (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) #s(literal -5 binary64)) #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) (if (<=.f64 (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) #s(literal 100000000000000007629769841091887003294964970946560 binary64)) #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (- y (+ (* (+ 1/2 y) (log y)) z)) (fma.f64 #s(approx (- (neg y) 1/2) #s(literal -1/2 binary64)) (log.f64 y) y))) #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z)))) |
(if (<=.f64 z #s(literal -3200000000000000282283564969805524502459711488 binary64)) #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z)) (if (<=.f64 z #s(literal 3400000000000 binary64)) #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (- y (+ (* (+ 1/2 y) (log y)) z)) #s(approx (+ (* (- (neg y) 1/2) (log y)) y) (*.f64 #s(literal -1/2 binary64) (log.f64 y))))) #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z)) |
| Outputs |
|---|
(-.f64 (-.f64 (-.f64 (+.f64 y x) (*.f64 (log.f64 y) y)) (*.f64 (log.f64 y) #s(literal 1/2 binary64))) z) |
(-.f64 (-.f64 (-.f64 (+.f64 x y) (*.f64 (log.f64 y) y)) (*.f64 #s(literal 1/2 binary64) (log.f64 y))) z) |
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) |
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y))) y) z) |
(if (<=.f64 z #s(literal -65000000000000004959350396709726552141727231115264 binary64)) (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) z) (if (<=.f64 z #s(literal 7600000000000000000000 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))) (if (<=.f64 z #s(literal 28999999999999999682267734823010818041570026289672020310749718784099182472842936578685475026505777974343630848 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) (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)))))) |
(if (<=.f64 z #s(literal -65000000000000004959350396709726552141727231115264 binary64)) (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) z) (if (<=.f64 z #s(literal 7600000000000000000000 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))) (if (<=.f64 z #s(literal 28999999999999999682267734823010818041570026289672020310749718784099182472842936578685475026505777974343630848 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) (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)))))) |
(if (<=.f64 y #s(literal 81999999999999996211435305548738091167801321637615239168 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 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) z)) |
(if (<=.f64 y #s(literal 2019999999999999983409259575146179986832506008583800341876396855382448326525330236979657310208 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) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y))) |
(if (<=.f64 y #s(literal 260000000000000000000 binary64)) (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) #s(approx (+ (* -1/2 (log y)) x) (*.f64 #s(literal -1/2 binary64) (log.f64 y)))) z) #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y))) |
(if (<=.f64 (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) #s(literal -5 binary64)) #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) (if (<=.f64 (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) #s(literal 100000000000000007629769841091887003294964970946560 binary64)) #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (- y (+ (* (+ 1/2 y) (log y)) z)) (fma.f64 #s(approx (- (neg y) 1/2) #s(literal -1/2 binary64)) (log.f64 y) y))) #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z)))) |
(if (<=.f64 (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y))) y) z) #s(literal -5 binary64)) #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) (if (<=.f64 (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y))) y) z) #s(literal 100000000000000007629769841091887003294964970946560 binary64)) #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (- y (+ (* (+ 1/2 y) (log y)) z)) (fma.f64 #s(approx (- (neg y) 1/2) #s(literal -1/2 binary64)) (log.f64 y) y))) #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z)))) |
(if (<=.f64 z #s(literal -3200000000000000282283564969805524502459711488 binary64)) #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z)) (if (<=.f64 z #s(literal 3400000000000 binary64)) #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (- y (+ (* (+ 1/2 y) (log y)) z)) #s(approx (+ (* (- (neg y) 1/2) (log y)) y) (*.f64 #s(literal -1/2 binary64) (log.f64 y))))) #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z)) |
| 15 618× | lower-fma.f64 |
| 15 618× | lower-fma.f32 |
| 13 718× | lower-fma.f64 |
| 13 718× | lower-fma.f32 |
| 12 810× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 316 | 5334 |
| 1 | 982 | 4910 |
| 2 | 3055 | 4609 |
| 0 | 8189 | 4299 |
| 0 | 127 | 1334 |
| 1 | 415 | 1196 |
| 2 | 1319 | 1105 |
| 3 | 4704 | 1074 |
| 0 | 8534 | 991 |
| 0 | 290 | 6147 |
| 1 | 930 | 5463 |
| 2 | 2685 | 4978 |
| 0 | 8431 | 4668 |
| 0 | 10 | 36 |
| 0 | 16 | 36 |
| 1 | 79 | 36 |
| 2 | 699 | 36 |
| 0 | 8843 | 33 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 414 to 204 computations (50.7% saved)
Compiled 480 to 162 computations (66.3% saved)
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