
Time bar (total: 8.1s)
| 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)
| 1.1s | 8 253× | 0 | valid |
| 1.0ms | 3× | 1 | valid |
ival-sub: 316.0ms (51.2% of total)ival-log: 116.0ms (18.8% of total)ival-add: 115.0ms (18.6% of total)ival-mult: 55.0ms (8.9% of total)ival-true: 7.0ms (1.1% of total)exact: 5.0ms (0.8% of total)ival-assert: 3.0ms (0.5% of total)adjust: 0.0ms (0% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (+.f64 y #s(literal 1/2 binary64)) |
| 0 | 0 | - | 0 | - | (log.f64 y) |
| 0 | 0 | - | 0 | - | (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) |
| 0 | 0 | - | 0 | - | (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) |
| 0 | 0 | - | 0 | - | #s(literal 1/2 binary64) |
| 0 | 0 | - | 0 | - | x |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 256 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 1 |
| 38.0ms | 510× | 0 | valid |
| 0.0ms | 2× | 1 | valid |
Compiled 106 to 34 computations (67.9% saved)
ival-log: 7.0ms (33.1% of total)ival-add: 5.0ms (23.6% of total)ival-sub: 4.0ms (18.9% of total)ival-mult: 3.0ms (14.2% of total)ival-true: 1.0ms (4.7% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)exact: 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 12 to 10 computations (16.7% saved)
Compiled 0 to 3 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.9% | (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) |
Compiled 12 to 10 computations (16.7% 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 | (+.f64 y #s(literal 1/2 binary64)) | |
| accuracy | 0 | (log.f64 y) | |
| accuracy | 0.08984375 | (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) | |
| accuracy | 0.1328125 | (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) |
| 38.0ms | 255× | 0 | valid |
| 0.0ms | 1× | 1 | valid |
Compiled 47 to 12 computations (74.5% saved)
ival-log: 4.0ms (35% of total)ival-add: 3.0ms (26.3% of total)ival-mult: 2.0ms (17.5% of total)ival-sub: 2.0ms (17.5% 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)| Inputs |
|---|
#s(alt (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) (patch (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) #<representation binary64>) () ()) |
#s(alt (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) (patch (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) #<representation binary64>) () ()) |
#s(alt (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) (patch (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) #<representation binary64>) () ()) |
#s(alt (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) (patch (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) #<representation binary64>) () ()) |
#s(alt (log.f64 y) (patch (log.f64 y) #<representation binary64>) () ()) |
#s(alt (+.f64 y #s(literal 1/2 binary64)) (patch (+.f64 y #s(literal 1/2 binary64)) #<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 (log y) (taylor 0 y) (#s(alt (log.f64 y) (patch (log.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (log y) (taylor 0 y) (#s(alt (log.f64 y) (patch (log.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (log y) (taylor 0 y) (#s(alt (log.f64 y) (patch (log.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (log y) (taylor 0 y) (#s(alt (log.f64 y) (patch (log.f64 y) #<representation binary64>) () ())) ()) |
#s(alt 1/2 (taylor 0 y) (#s(alt (+.f64 y #s(literal 1/2 binary64)) (patch (+.f64 y #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/2 y) (taylor 0 y) (#s(alt (+.f64 y #s(literal 1/2 binary64)) (patch (+.f64 y #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/2 y) (taylor 0 y) (#s(alt (+.f64 y #s(literal 1/2 binary64)) (patch (+.f64 y #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/2 y) (taylor 0 y) (#s(alt (+.f64 y #s(literal 1/2 binary64)) (patch (+.f64 y #s(literal 1/2 binary64)) #<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>) () ())) ()) |
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#s(alt (* -1 (* x (- (/ (* (log y) (+ 1/2 y)) x) 1))) (taylor -inf x) (#s(alt (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) (patch (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ (* (log y) (+ 1/2 y)) x) 1))) (taylor -inf x) (#s(alt (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) (patch (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ (* (log y) (+ 1/2 y)) x) 1))) (taylor -inf x) (#s(alt (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) (patch (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) (patch (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1))) (taylor -inf x) (#s(alt (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) (patch (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1))) (taylor -inf x) (#s(alt (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) (patch (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1))) (taylor -inf x) (#s(alt (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) (patch (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#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 (* x (- (* -1 (/ (- y (* (log y) (+ 1/2 y))) x)) 1))) (taylor -inf x) (#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 (* x (- (* -1 (/ (- y (* (log y) (+ 1/2 y))) x)) 1))) (taylor -inf x) (#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 (* x (- (* -1 (/ (- y (* (log y) (+ 1/2 y))) x)) 1))) (taylor -inf x) (#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>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 25.0ms | 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)) (log y) (+ y 1/2)) |
| 23.0ms | 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)) (log y) (+ y 1/2)) |
| 9.0ms | 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)) (log y) (+ y 1/2)) |
| 5.0ms | 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)) (log y) (+ y 1/2)) |
| 2.0ms | 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)) (log y) (+ y 1/2)) |
| 1× | egg-herbie |
| 13 436× | lower-fma.f64 |
| 13 436× | lower-fma.f32 |
| 3 304× | lower-*.f64 |
| 3 304× | lower-*.f32 |
| 2 946× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 130 | 1412 |
| 1 | 427 | 1270 |
| 2 | 1348 | 1167 |
| 3 | 4774 | 1136 |
| 0 | 8619 | 1053 |
| 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))) |
(log y) |
(log y) |
(log y) |
(log y) |
1/2 |
(+ 1/2 y) |
(+ 1/2 y) |
(+ 1/2 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 (log (/ 1 y))) |
(* -1 (log (/ 1 y))) |
(* -1 (log (/ 1 y))) |
(* -1 (log (/ 1 y))) |
y |
(* y (+ 1 (* 1/2 (/ 1 y)))) |
(* y (+ 1 (* 1/2 (/ 1 y)))) |
(* y (+ 1 (* 1/2 (/ 1 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))))) |
(+ (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 |
(* y (+ 1 (* 1/2 (/ 1 y)))) |
(* y (+ 1 (* 1/2 (/ 1 y)))) |
(* y (+ 1 (* 1/2 (/ 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))) |
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)) |
(log y) |
(log.f64 y) |
(log y) |
(log.f64 y) |
(log y) |
(log.f64 y) |
(log y) |
(log.f64 y) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 y) |
(+.f64 #s(literal 1/2 binary64) y) |
(+ 1/2 y) |
(+.f64 #s(literal 1/2 binary64) y) |
(+ 1/2 y) |
(+.f64 #s(literal 1/2 binary64) 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 (log (/ 1 y))) |
(log.f64 y) |
(* -1 (log (/ 1 y))) |
(log.f64 y) |
(* -1 (log (/ 1 y))) |
(log.f64 y) |
(* -1 (log (/ 1 y))) |
(log.f64 y) |
y |
(* y (+ 1 (* 1/2 (/ 1 y)))) |
(+.f64 #s(literal 1/2 binary64) y) |
(* y (+ 1 (* 1/2 (/ 1 y)))) |
(+.f64 #s(literal 1/2 binary64) y) |
(* y (+ 1 (* 1/2 (/ 1 y)))) |
(+.f64 #s(literal 1/2 binary64) 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 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64))) (-.f64 #s(literal -1/2 binary64) y)) |
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y))))) |
(*.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64))) (-.f64 #s(literal -1/2 binary64) y)) |
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y))))) |
(*.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64))) (-.f64 #s(literal -1/2 binary64) y)) |
(+ (log -1) (* -1 (log (/ -1 y)))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) |
(+ (log -1) (* -1 (log (/ -1 y)))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) |
(+ (log -1) (* -1 (log (/ -1 y)))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) |
(+ (log -1) (* -1 (log (/ -1 y)))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) |
y |
(* y (+ 1 (* 1/2 (/ 1 y)))) |
(+.f64 #s(literal 1/2 binary64) y) |
(* y (+ 1 (* 1/2 (/ 1 y)))) |
(+.f64 #s(literal 1/2 binary64) y) |
(* y (+ 1 (* 1/2 (/ 1 y)))) |
(+.f64 #s(literal 1/2 binary64) 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 | 41 |
| 0 | 16 | 41 |
| 1 | 79 | 41 |
| 2 | 699 | 41 |
| 0 | 8843 | 38 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) |
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) |
(+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) |
(*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) |
(log.f64 y) |
(+.f64 y #s(literal 1/2 binary64)) |
| Outputs |
|---|
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Compiled 14 627 to 1 685 computations (88.5% saved)
12 alts after pruning (12 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 494 | 12 | 506 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 495 | 12 | 507 |
| Status | Accuracy | Program |
|---|---|---|
| 58.0% | (fma.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y) (neg.f64 y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y) x) y)) (neg.f64 z)) | |
| 99.7% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))))) | |
| ▶ | 99.8% | (-.f64 (+.f64 (-.f64 x (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) y)))) y) z) |
| ▶ | 81.0% | (-.f64 (+.f64 (-.f64 x #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y))) y) z) |
| ▶ | 69.5% | (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z) |
| 56.9% | (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) z) | |
| 79.8% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 (/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x) x x)) | |
| 74.5% | #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))) | |
| ▶ | 74.5% | #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))) |
| 77.4% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) 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)) | |
| 32.6% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) | |
| ▶ | 26.4% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z)) |
Compiled 298 to 250 computations (16.1% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y)) | |
| cost-diff | 0 | (-.f64 x #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y))) | |
| cost-diff | 0 | (+.f64 (-.f64 x #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y))) y) | |
| cost-diff | 0 | (-.f64 (+.f64 (-.f64 x #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y))) y) z) | |
| cost-diff | 0 | (+.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 (-.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))) |
| 5 040× | lower-fma.f32 |
| 5 036× | lower-fma.f64 |
| 1 256× | lower-+.f32 |
| 1 256× | lower--.f32 |
| 1 250× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 233 |
| 0 | 50 | 233 |
| 1 | 96 | 225 |
| 2 | 214 | 222 |
| 3 | 580 | 222 |
| 4 | 1491 | 222 |
| 5 | 2969 | 222 |
| 6 | 3962 | 222 |
| 7 | 4308 | 222 |
| 8 | 4377 | 222 |
| 9 | 4379 | 222 |
| 10 | 4379 | 222 |
| 11 | 4379 | 222 |
| 12 | 4379 | 222 |
| 13 | 4384 | 222 |
| 14 | 4412 | 222 |
| 0 | 4412 | 218 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(-.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 |
#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 #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y))) y) z) |
(+.f64 (-.f64 x #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y))) y) |
(-.f64 x #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y))) |
x |
#s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y)) |
(*.f64 (log.f64 y) y) |
(log.f64 y) |
y |
z |
| Outputs |
|---|
(-.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 y x) 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 y x)) |
(-.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 |
#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 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y) z)) |
(-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) |
(-.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) 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 #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y))) y) z) |
(-.f64 (-.f64 (+.f64 y x) z) #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y))) |
(+.f64 (-.f64 x #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y))) y) |
(-.f64 (+.f64 y x) #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y))) |
(-.f64 x #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y))) |
x |
#s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y)) |
(*.f64 (log.f64 y) y) |
(log.f64 y) |
y |
z |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (log.f64 y) | |
| accuracy | 0.08984375 | (+.f64 (-.f64 x #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y))) y) | |
| accuracy | 0.265625 | (*.f64 (log.f64 y) y) | |
| accuracy | 31.63963032716849 | #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y)) | |
| accuracy | 0 | (log.f64 y) | |
| accuracy | 0.08984375 | (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) | |
| accuracy | 0.1171875 | (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z) | |
| accuracy | 16.26239653054198 | #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 | (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z) | |
| accuracy | 0 | (log.f64 y) | |
| accuracy | 0.00390625 | (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x) | |
| accuracy | 24.497236056879665 | #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 | 47.120036120284325 | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z)) | |
| accuracy | 0 | (log.f64 y) | |
| accuracy | 0.015625 | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) y)) | |
| accuracy | 0.08984375 | (+.f64 (-.f64 x (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) y)))) y) | |
| accuracy | 0.193691259768442 | (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) y))) |
| 148.0ms | 255× | 0 | valid |
| 0.0ms | 1× | 1 | valid |
Compiled 193 to 27 computations (86% saved)
ival-div: 25.0ms (51.4% of total)ival-add: 7.0ms (14.4% of total)ival-mult: 6.0ms (12.3% of total)ival-sub: 5.0ms (10.3% of total)ival-log: 4.0ms (8.2% of total)ival-neg: 1.0ms (2.1% 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)| Inputs |
|---|
#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 #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 (+.f64 (-.f64 x #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y))) y) z) (patch (-.f64 (+.f64 (-.f64 x #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y))) y) z) #<representation binary64>) () ()) |
#s(alt (+.f64 (-.f64 x #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y))) y) (patch (+.f64 (-.f64 x #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y))) y) #<representation binary64>) () ()) |
#s(alt (-.f64 x #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y))) (patch (-.f64 x #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y)) (patch #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) y)) (patch (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) y)) #<representation binary64>) () ()) |
#s(alt (*.f64 (log.f64 y) y) (patch (*.f64 (log.f64 y) y) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (- (+ x y) (* (log y) (+ 1/2 y))) (taylor 0 z) (#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 (+ y (* -1 z))) (* (log y) (+ 1/2 y))) (taylor 0 z) (#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 (+ y (* -1 z))) (* (log y) (+ 1/2 y))) (taylor 0 z) (#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 (+ y (* -1 z))) (* (log y) (+ 1/2 y))) (taylor 0 z) (#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 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>) () ())) ()) |
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#s(alt (* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1))) (taylor -inf x) (#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 (* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1))) (taylor -inf x) (#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 (taylor -inf x) (#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 (* -1 (* x (- (* -1 (/ (- y (* (log y) (+ 1/2 y))) x)) 1))) (taylor -inf x) (#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 (* -1 (* x (- (* -1 (/ (- y (* (log y) (+ 1/2 y))) x)) 1))) (taylor -inf x) (#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 (* -1 (* x (- (* -1 (/ (- y (* (log y) (+ 1/2 y))) x)) 1))) (taylor -inf x) (#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 x (taylor -inf x) (#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 (* -1 (* x (- (* 1/2 (/ (log y) x)) 1))) (taylor -inf x) (#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 (* -1 (* x (- (* 1/2 (/ (log y) x)) 1))) (taylor -inf x) (#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 (* -1 (* x (- (* 1/2 (/ (log y) x)) 1))) (taylor -inf x) (#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 x (taylor -inf x) (#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 (* -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 (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 (* -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 (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 (* -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 (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 (taylor -inf x) (#s(alt (-.f64 (+.f64 (-.f64 x #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y))) y) z) (patch (-.f64 (+.f64 (-.f64 x #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y))) y) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1))) (taylor -inf x) (#s(alt (-.f64 (+.f64 (-.f64 x #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y))) y) z) (patch (-.f64 (+.f64 (-.f64 x #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y))) y) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1))) (taylor -inf x) (#s(alt (-.f64 (+.f64 (-.f64 x #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y))) y) z) (patch (-.f64 (+.f64 (-.f64 x #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y))) y) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1))) (taylor -inf x) (#s(alt (-.f64 (+.f64 (-.f64 x #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y))) y) z) (patch (-.f64 (+.f64 (-.f64 x #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y))) y) z) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (+.f64 (-.f64 x #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y))) y) (patch (+.f64 (-.f64 x #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y))) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- y (* (log y) (+ 1/2 y))) x)) 1))) (taylor -inf x) (#s(alt (+.f64 (-.f64 x #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y))) y) (patch (+.f64 (-.f64 x #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y))) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- y (* (log y) (+ 1/2 y))) x)) 1))) (taylor -inf x) (#s(alt (+.f64 (-.f64 x #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y))) y) (patch (+.f64 (-.f64 x #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y))) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- y (* (log y) (+ 1/2 y))) x)) 1))) (taylor -inf x) (#s(alt (+.f64 (-.f64 x #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y))) y) (patch (+.f64 (-.f64 x #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y))) y) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (-.f64 x #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y))) (patch (-.f64 x #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ (* (log y) (+ 1/2 y)) x) 1))) (taylor -inf x) (#s(alt (-.f64 x #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y))) (patch (-.f64 x #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ (* (log y) (+ 1/2 y)) x) 1))) (taylor -inf x) (#s(alt (-.f64 x #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y))) (patch (-.f64 x #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ (* (log y) (+ 1/2 y)) x) 1))) (taylor -inf x) (#s(alt (-.f64 x #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y))) (patch (-.f64 x #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y))) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 42.0ms | y | @ | inf | ((/ (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) (- (+ (- 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) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+ (- x (* (+ y 1/2) (log y))) y) (- x (* (+ y 1/2) (log y))) (* (+ y 1/2) (log y)) (/ 1 (+ 1/2 y)) (* (log y) y)) |
| 22.0ms | z | @ | 0 | ((/ (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) (- (+ (- 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) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+ (- x (* (+ y 1/2) (log y))) y) (- x (* (+ y 1/2) (log y))) (* (+ y 1/2) (log y)) (/ 1 (+ 1/2 y)) (* (log y) y)) |
| 14.0ms | y | @ | 0 | ((/ (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) (- (+ (- 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) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+ (- x (* (+ y 1/2) (log y))) y) (- x (* (+ y 1/2) (log y))) (* (+ y 1/2) (log y)) (/ 1 (+ 1/2 y)) (* (log y) y)) |
| 8.0ms | y | @ | -inf | ((/ (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) (- (+ (- 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) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+ (- x (* (+ y 1/2) (log y))) y) (- x (* (+ y 1/2) (log y))) (* (+ y 1/2) (log y)) (/ 1 (+ 1/2 y)) (* (log y) y)) |
| 2.0ms | x | @ | 0 | ((/ (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) (- (+ (- 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) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+ (- x (* (+ y 1/2) (log y))) y) (- x (* (+ y 1/2) (log y))) (* (+ y 1/2) (log y)) (/ 1 (+ 1/2 y)) (* (log y) y)) |
| 1× | egg-herbie |
| 10 862× | lower-fma.f64 |
| 10 862× | lower-fma.f32 |
| 4 398× | lower-*.f64 |
| 4 398× | lower-*.f32 |
| 3 298× | lower--.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 231 | 5867 |
| 1 | 730 | 5376 |
| 2 | 2187 | 4944 |
| 3 | 7520 | 4942 |
| 0 | 8661 | 4659 |
| 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))) |
(- (+ 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 (/ (* (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) |
(* -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) (* (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 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))))) |
(* 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 (* 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) |
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(* -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 (- (* -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 (- (/ (* (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))) |
| Outputs |
|---|
(- (+ x y) (* (log y) (+ 1/2 y))) |
(fma.f64 (fma.f64 #s(literal -1 binary64) 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 (fma.f64 #s(literal -1 binary64) 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 (fma.f64 #s(literal -1 binary64) 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 (fma.f64 #s(literal -1 binary64) 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 (fma.f64 #s(literal -1 binary64) 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 (fma.f64 #s(literal -1 binary64) 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 x z) (/.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) y #s(literal -1/2 binary64)) (log.f64 y) y) z)) #s(literal 1 binary64)) z) |
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z)))) |
(*.f64 (-.f64 (+.f64 (/.f64 x z) (/.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) y #s(literal -1/2 binary64)) (log.f64 y) y) z)) #s(literal 1 binary64)) z) |
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z)))) |
(*.f64 (-.f64 (+.f64 (/.f64 x z) (/.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) y #s(literal -1/2 binary64)) (log.f64 y) y) z)) #s(literal 1 binary64)) z) |
(* -1 z) |
(neg.f64 z) |
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z)))) |
(*.f64 (-.f64 (+.f64 (/.f64 x z) (/.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) y #s(literal -1/2 binary64)) (log.f64 y) y) z)) #s(literal 1 binary64)) z) |
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z)))) |
(*.f64 (-.f64 (+.f64 (/.f64 x z) (/.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) y #s(literal -1/2 binary64)) (log.f64 y) y) z)) #s(literal 1 binary64)) z) |
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z)))) |
(*.f64 (-.f64 (+.f64 (/.f64 x z) (/.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) y #s(literal -1/2 binary64)) (log.f64 y) y) z)) #s(literal 1 binary64)) z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z)))) |
(*.f64 (-.f64 (+.f64 (/.f64 x z) (/.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) y #s(literal -1/2 binary64)) (log.f64 y) y) z)) #s(literal 1 binary64)) z) |
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z)))) |
(*.f64 (-.f64 (+.f64 (/.f64 x z) (/.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) y #s(literal -1/2 binary64)) (log.f64 y) y) z)) #s(literal 1 binary64)) z) |
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z)))) |
(*.f64 (-.f64 (+.f64 (/.f64 x z) (/.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) y #s(literal -1/2 binary64)) (log.f64 y) y) z)) #s(literal 1 binary64)) z) |
(* -1 z) |
(neg.f64 z) |
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z)))) |
(*.f64 (-.f64 (+.f64 (/.f64 x z) (/.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) y #s(literal -1/2 binary64)) (log.f64 y) y) z)) #s(literal 1 binary64)) z) |
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z)))) |
(*.f64 (-.f64 (+.f64 (/.f64 x z) (/.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) y #s(literal -1/2 binary64)) (log.f64 y) y) z)) #s(literal 1 binary64)) z) |
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z)))) |
(*.f64 (-.f64 (+.f64 (/.f64 x z) (/.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) y #s(literal -1/2 binary64)) (log.f64 y) y) z)) #s(literal 1 binary64)) z) |
(* -1 z) |
(neg.f64 z) |
(* z (- (/ y z) (+ 1 (/ (* (log y) (+ 1/2 y)) z)))) |
(neg.f64 (fma.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) (neg.f64 y)) (/.f64 z z) z)) |
(* z (- (/ y z) (+ 1 (/ (* (log y) (+ 1/2 y)) z)))) |
(neg.f64 (fma.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) (neg.f64 y)) (/.f64 z z) z)) |
(* z (- (/ y z) (+ 1 (/ (* (log y) (+ 1/2 y)) z)))) |
(neg.f64 (fma.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) (neg.f64 y)) (/.f64 z z) z)) |
z |
(* z (+ 1 (/ (* (log y) (+ 1/2 y)) z))) |
(fma.f64 (*.f64 z (+.f64 #s(literal 1/2 binary64) y)) (/.f64 (log.f64 y) z) z) |
(* z (+ 1 (/ (* (log y) (+ 1/2 y)) z))) |
(fma.f64 (*.f64 z (+.f64 #s(literal 1/2 binary64) y)) (/.f64 (log.f64 y) z) z) |
(* z (+ 1 (/ (* (log y) (+ 1/2 y)) z))) |
(fma.f64 (*.f64 z (+.f64 #s(literal 1/2 binary64) y)) (/.f64 (log.f64 y) z) z) |
(* -1 z) |
(neg.f64 z) |
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z)))) |
(*.f64 (-.f64 (+.f64 (/.f64 x z) (/.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) y #s(literal -1/2 binary64)) (log.f64 y) y) z)) #s(literal 1 binary64)) z) |
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z)))) |
(*.f64 (-.f64 (+.f64 (/.f64 x z) (/.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) y #s(literal -1/2 binary64)) (log.f64 y) y) z)) #s(literal 1 binary64)) z) |
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z)))) |
(*.f64 (-.f64 (+.f64 (/.f64 x z) (/.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) y #s(literal -1/2 binary64)) (log.f64 y) y) z)) #s(literal 1 binary64)) z) |
(* -1 z) |
(neg.f64 z) |
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z))))) |
(fma.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) y #s(literal -1/2 binary64)) (log.f64 y) (+.f64 y x)) z) z (neg.f64 z)) |
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z))))) |
(fma.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) y #s(literal -1/2 binary64)) (log.f64 y) (+.f64 y x)) z) z (neg.f64 z)) |
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z))))) |
(fma.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) y #s(literal -1/2 binary64)) (log.f64 y) (+.f64 y x)) z) z (neg.f64 z)) |
(* -1 z) |
(neg.f64 z) |
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z))))) |
(fma.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) y #s(literal -1/2 binary64)) (log.f64 y) (+.f64 y x)) z) z (neg.f64 z)) |
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z))))) |
(fma.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) y #s(literal -1/2 binary64)) (log.f64 y) (+.f64 y x)) z) z (neg.f64 z)) |
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z))))) |
(fma.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) y #s(literal -1/2 binary64)) (log.f64 y) (+.f64 y x)) z) z (neg.f64 z)) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z))))) |
(fma.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) y #s(literal -1/2 binary64)) (log.f64 y) (+.f64 y x)) z) z (neg.f64 z)) |
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z))))) |
(fma.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) y #s(literal -1/2 binary64)) (log.f64 y) (+.f64 y x)) z) z (neg.f64 z)) |
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z))))) |
(fma.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) y #s(literal -1/2 binary64)) (log.f64 y) (+.f64 y x)) z) z (neg.f64 z)) |
(* -1 z) |
(neg.f64 z) |
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z))))) |
(fma.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) y #s(literal -1/2 binary64)) (log.f64 y) (+.f64 y x)) z) z (neg.f64 z)) |
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z))))) |
(fma.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) y #s(literal -1/2 binary64)) (log.f64 y) (+.f64 y x)) z) z (neg.f64 z)) |
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z))))) |
(fma.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) y #s(literal -1/2 binary64)) (log.f64 y) (+.f64 y x)) z) z (neg.f64 z)) |
(* -1 z) |
(neg.f64 z) |
(* -1 (* z (+ 1 (* -1 (/ (- y (* (log y) (+ 1/2 y))) z))))) |
(neg.f64 (fma.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) (neg.f64 y)) (/.f64 z z) z)) |
(* -1 (* z (+ 1 (* -1 (/ (- y (* (log y) (+ 1/2 y))) z))))) |
(neg.f64 (fma.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) (neg.f64 y)) (/.f64 z z) z)) |
(* -1 (* z (+ 1 (* -1 (/ (- y (* (log y) (+ 1/2 y))) z))))) |
(neg.f64 (fma.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) (neg.f64 y)) (/.f64 z z) z)) |
z |
(* -1 (* z (- (* -1 (/ (* (log y) (+ 1/2 y)) z)) 1))) |
(fma.f64 (*.f64 z (+.f64 #s(literal 1/2 binary64) y)) (/.f64 (log.f64 y) z) z) |
(* -1 (* z (- (* -1 (/ (* (log y) (+ 1/2 y)) z)) 1))) |
(fma.f64 (*.f64 z (+.f64 #s(literal 1/2 binary64) y)) (/.f64 (log.f64 y) z) z) |
(* -1 (* z (- (* -1 (/ (* (log y) (+ 1/2 y)) z)) 1))) |
(fma.f64 (*.f64 z (+.f64 #s(literal 1/2 binary64) y)) (/.f64 (log.f64 y) z) z) |
(* -1 z) |
(neg.f64 z) |
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z))))) |
(fma.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) y #s(literal -1/2 binary64)) (log.f64 y) (+.f64 y x)) z) z (neg.f64 z)) |
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z))))) |
(fma.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) y #s(literal -1/2 binary64)) (log.f64 y) (+.f64 y x)) z) z (neg.f64 z)) |
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z))))) |
(fma.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) y #s(literal -1/2 binary64)) (log.f64 y) (+.f64 y x)) z) z (neg.f64 z)) |
(* 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)) |
(- 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 (fma.f64 #s(literal -1 binary64) y #s(literal -1/2 binary64)) (log.f64 y) x) |
(- (+ x (* -1 (* y (log y)))) (* 1/2 (log y))) |
(fma.f64 (fma.f64 #s(literal -1 binary64) y #s(literal -1/2 binary64)) (log.f64 y) x) |
(- (+ x (* -1 (* y (log y)))) (* 1/2 (log y))) |
(fma.f64 (fma.f64 #s(literal -1 binary64) y #s(literal -1/2 binary64)) (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 (+.f64 y x) (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) |
(- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y)))) |
(-.f64 (+.f64 y x) (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) |
(- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y)))) |
(-.f64 (+.f64 y x) (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) |
(- 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 (fma.f64 #s(literal -1 binary64) y #s(literal -1/2 binary64)) (log.f64 y) (+.f64 y x)) |
(- (+ x (* y (- 1 (log y)))) (* 1/2 (log y))) |
(fma.f64 (fma.f64 #s(literal -1 binary64) y #s(literal -1/2 binary64)) (log.f64 y) (+.f64 y x)) |
(- (+ x (* y (- 1 (log y)))) (* 1/2 (log y))) |
(fma.f64 (fma.f64 #s(literal -1 binary64) y #s(literal -1/2 binary64)) (log.f64 y) (+.f64 y x)) |
(- x (+ z (* 1/2 (log y)))) |
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(* -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))) |
(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 (fma.f64 #s(literal -1 binary64) 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 (fma.f64 #s(literal -1 binary64) 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 (fma.f64 #s(literal -1 binary64) y #s(literal -1/2 binary64)) (log.f64 y) y) x) x x) |
x |
(* -1 (* x (- (/ (* (log y) (+ 1/2 y)) x) 1))) |
(*.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) 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 (fma.f64 #s(literal -1 binary64) 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 (fma.f64 #s(literal -1 binary64) y #s(literal -1/2 binary64)) (/.f64 (log.f64 y) x) #s(literal 1 binary64)) x) |
| 5 046× | lower-*.f32 |
| 5 044× | lower-*.f64 |
| 3 358× | lower-/.f32 |
| 3 354× | lower-/.f64 |
| 2 642× | lower-fma.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 208 |
| 0 | 50 | 208 |
| 1 | 272 | 200 |
| 2 | 2604 | 200 |
| 0 | 8226 | 200 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.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) |
#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 (+.f64 (-.f64 x #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y))) y) z) |
(+.f64 (-.f64 x #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y))) y) |
(-.f64 x #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y))) |
#s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y)) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) y)) |
(*.f64 (log.f64 y) y) |
| Outputs |
|---|
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Compiled 28 969 to 2 996 computations (89.7% saved)
16 alts after pruning (13 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 113 | 11 | 1 124 |
| Fresh | 5 | 2 | 7 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 120 | 16 | 1 136 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 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))))) |
| ▶ | 81.0% | (-.f64 (+.f64 (-.f64 x (/.f64 (log.f64 y) #s(approx (/ 1 (+ 1/2 y)) (/.f64 #s(literal 1 binary64) y)))) y) z) |
| ✓ | 81.0% | (-.f64 (+.f64 (-.f64 x #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y))) y) z) |
| ▶ | 56.9% | (-.f64 #s(approx (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) z) |
| ✓ | 69.5% | (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z) |
| ▶ | 44.5% | (-.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) |
| 78.8% | #s(approx (- (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) z) (fma.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) y #s(literal -1/2 binary64)) (log.f64 y) (+.f64 y x)) z) z (neg.f64 z))) | |
| 32.6% | #s(approx (- (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) z) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) | |
| 74.5% | #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))) | |
| 35.7% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 (*.f64 (-.f64 (*.f64 y y) (*.f64 z z)) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) y))) (*.f64 (+.f64 y z) (neg.f64 (log.f64 y)))) (*.f64 (+.f64 y z) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) y))))) | |
| ▶ | 10.1% | #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))) |
| 43.5% | #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))) | |
| 63.4% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y #s(approx (+ (* (+ 1/2 y) (log y)) z) (fma.f64 (*.f64 z (+.f64 #s(literal 1/2 binary64) y)) (/.f64 (log.f64 y) z) z)))) | |
| 49.8% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y #s(approx (+ (* (+ 1/2 y) (log y)) z) (*.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y))))) | |
| 32.6% | #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)))) | |
| ✓ | 26.4% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z)) |
Compiled 348 to 298 computations (14.4% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 (log.f64 y) #s(approx (/ 1 (+ 1/2 y)) (/.f64 #s(literal 1 binary64) y))) | |
| cost-diff | 0 | (-.f64 x (/.f64 (log.f64 y) #s(approx (/ 1 (+ 1/2 y)) (/.f64 #s(literal 1 binary64) y)))) | |
| cost-diff | 0 | (+.f64 (-.f64 x (/.f64 (log.f64 y) #s(approx (/ 1 (+ 1/2 y)) (/.f64 #s(literal 1 binary64) y)))) y) | |
| cost-diff | 0 | (-.f64 (+.f64 (-.f64 x (/.f64 (log.f64 y) #s(approx (/ 1 (+ 1/2 y)) (/.f64 #s(literal 1 binary64) y)))) y) z) | |
| 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 (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) | |
| cost-diff | 0 | (-.f64 #s(approx (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) z) | |
| 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 | 0 | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z))) | |
| cost-diff | 64 | (-.f64 #s(literal 0 binary64) (*.f64 z z)) | |
| cost-diff | 192 | (+.f64 #s(literal 0 binary64) z) | |
| cost-diff | 1024 | (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z)) | |
| cost-diff | 0 | (-.f64 #s(literal -1/2 binary64) y) | |
| cost-diff | 0 | (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z)))) | |
| cost-diff | 1408 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))))) |
| 6 342× | lower-fma.f32 |
| 6 340× | lower-fma.f64 |
| 2 776× | lower-*.f32 |
| 2 770× | lower-*.f64 |
| 1 376× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 300 |
| 0 | 70 | 287 |
| 1 | 131 | 282 |
| 2 | 331 | 274 |
| 3 | 972 | 274 |
| 4 | 2438 | 274 |
| 5 | 4139 | 274 |
| 6 | 5850 | 274 |
| 7 | 6881 | 274 |
| 8 | 7604 | 274 |
| 0 | 8001 | 267 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))))) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z)))) |
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))) |
(-.f64 #s(literal -1/2 binary64) y) |
#s(literal -1/2 binary64) |
y |
(log.f64 y) |
(+.f64 x (-.f64 y z)) |
x |
(-.f64 y z) |
z |
#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) |
(-.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 |
(-.f64 #s(approx (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) z) |
#s(approx (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) (*.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 |
z |
(-.f64 (+.f64 (-.f64 x (/.f64 (log.f64 y) #s(approx (/ 1 (+ 1/2 y)) (/.f64 #s(literal 1 binary64) y)))) y) z) |
(+.f64 (-.f64 x (/.f64 (log.f64 y) #s(approx (/ 1 (+ 1/2 y)) (/.f64 #s(literal 1 binary64) y)))) y) |
(-.f64 x (/.f64 (log.f64 y) #s(approx (/ 1 (+ 1/2 y)) (/.f64 #s(literal 1 binary64) y)))) |
x |
(/.f64 (log.f64 y) #s(approx (/ 1 (+ 1/2 y)) (/.f64 #s(literal 1 binary64) y))) |
(log.f64 y) |
y |
#s(approx (/ 1 (+ 1/2 y)) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
z |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))))) |
(fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) (+.f64 (-.f64 y z) x)) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z)))) |
(/.f64 #s(literal -1 binary64) (-.f64 (-.f64 (fma.f64 (-.f64 y #s(literal -1/2 binary64)) (log.f64 y) z) x) y)) |
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))) |
(fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) (+.f64 (-.f64 y z) x)) |
(-.f64 #s(literal -1/2 binary64) y) |
#s(literal -1/2 binary64) |
y |
(log.f64 y) |
(+.f64 x (-.f64 y z)) |
(+.f64 (-.f64 y z) x) |
x |
(-.f64 y 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 (- (+ (- 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 |
(-.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) |
(-.f64 #s(approx (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) #s(approx (+ (* -1/2 (log y)) x) (*.f64 (log.f64 y) #s(literal -1/2 binary64)))) 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 (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) #s(approx (+ (* -1/2 (log y)) x) (*.f64 (log.f64 y) #s(literal -1/2 binary64)))) |
#s(approx (+ (* -1/2 (log y)) x) (*.f64 #s(literal -1/2 binary64) (log.f64 y))) |
#s(approx (+ (* -1/2 (log y)) x) (*.f64 (log.f64 y) #s(literal -1/2 binary64))) |
(*.f64 #s(literal -1/2 binary64) (log.f64 y)) |
(*.f64 (log.f64 y) #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
(log.f64 y) |
y |
z |
(-.f64 #s(approx (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) z) |
#s(approx (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) (*.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 |
z |
(-.f64 (+.f64 (-.f64 x (/.f64 (log.f64 y) #s(approx (/ 1 (+ 1/2 y)) (/.f64 #s(literal 1 binary64) y)))) y) z) |
(-.f64 (+.f64 (-.f64 y z) x) (/.f64 (log.f64 y) #s(approx (/ 1 (+ 1/2 y)) (/.f64 #s(literal 1 binary64) y)))) |
(+.f64 (-.f64 x (/.f64 (log.f64 y) #s(approx (/ 1 (+ 1/2 y)) (/.f64 #s(literal 1 binary64) y)))) y) |
(-.f64 (+.f64 x y) (/.f64 (log.f64 y) #s(approx (/ 1 (+ 1/2 y)) (/.f64 #s(literal 1 binary64) y)))) |
(-.f64 x (/.f64 (log.f64 y) #s(approx (/ 1 (+ 1/2 y)) (/.f64 #s(literal 1 binary64) y)))) |
x |
(/.f64 (log.f64 y) #s(approx (/ 1 (+ 1/2 y)) (/.f64 #s(literal 1 binary64) y))) |
(log.f64 y) |
y |
#s(approx (/ 1 (+ 1/2 y)) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
z |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (log.f64 y) | |
| accuracy | 0.08984375 | (+.f64 (-.f64 x (/.f64 (log.f64 y) #s(approx (/ 1 (+ 1/2 y)) (/.f64 #s(literal 1 binary64) y)))) y) | |
| accuracy | 0.193691259768442 | (/.f64 (log.f64 y) #s(approx (/ 1 (+ 1/2 y)) (/.f64 #s(literal 1 binary64) y))) | |
| accuracy | 31.63158079966584 | #s(approx (/ 1 (+ 1/2 y)) (/.f64 #s(literal 1 binary64) y)) | |
| accuracy | 0 | (log.f64 y) | |
| accuracy | 0.00390625 | (-.f64 #s(literal 1 binary64) (log.f64 y)) | |
| accuracy | 0.2890625 | (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y) | |
| accuracy | 37.90462267515629 | #s(approx (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) | |
| accuracy | 0 | (*.f64 #s(literal -1/2 binary64) (log.f64 y)) | |
| accuracy | 0 | (log.f64 y) | |
| accuracy | 24.497236056879665 | #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 | 28.60220347379142 | #s(approx (+ (* -1/2 (log y)) x) (*.f64 #s(literal -1/2 binary64) (log.f64 y))) | |
| accuracy | 0 | (+.f64 #s(literal 0 binary64) z) | |
| accuracy | 0 | (*.f64 z z) | |
| accuracy | 32.648688004950834 | (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z)) | |
| accuracy | 47.120036120284325 | #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 | 0.0078125 | (+.f64 x (-.f64 y z)) | |
| accuracy | 0.078125 | (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))) | |
| accuracy | 0.21875 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))))) | |
| accuracy | 0.3165735301873717 | (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z)))) |
| 77.0ms | 255× | 0 | valid |
| 1.0ms | 1× | 1 | valid |
Compiled 232 to 37 computations (84.1% saved)
ival-log: 18.0ms (30.6% of total)ival-sub: 12.0ms (20.4% of total)ival-add: 11.0ms (18.7% of total)ival-div: 9.0ms (15.3% of total)ival-mult: 8.0ms (13.6% 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)| Inputs |
|---|
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z)))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z)))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))) (patch (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal -1/2 binary64) y) (patch (-.f64 #s(literal -1/2 binary64) y) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z)) (patch (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z)) #<representation binary64>) () ()) |
#s(alt (+.f64 #s(literal 0 binary64) z) (patch (+.f64 #s(literal 0 binary64) z) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 0 binary64) (*.f64 z z)) (patch (-.f64 #s(literal 0 binary64) (*.f64 z z)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z))) (patch #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z))) #<representation binary64>) () ()) |
#s(alt (-.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 #s(approx (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) z) (patch (-.f64 #s(approx (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) z) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) (patch #s(approx (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) (*.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 (-.f64 (+.f64 (-.f64 x (/.f64 (log.f64 y) #s(approx (/ 1 (+ 1/2 y)) (/.f64 #s(literal 1 binary64) y)))) y) z) (patch (-.f64 (+.f64 (-.f64 x (/.f64 (log.f64 y) #s(approx (/ 1 (+ 1/2 y)) (/.f64 #s(literal 1 binary64) y)))) y) z) #<representation binary64>) () ()) |
#s(alt (+.f64 (-.f64 x (/.f64 (log.f64 y) #s(approx (/ 1 (+ 1/2 y)) (/.f64 #s(literal 1 binary64) y)))) y) (patch (+.f64 (-.f64 x (/.f64 (log.f64 y) #s(approx (/ 1 (+ 1/2 y)) (/.f64 #s(literal 1 binary64) y)))) y) #<representation binary64>) () ()) |
#s(alt (-.f64 x (/.f64 (log.f64 y) #s(approx (/ 1 (+ 1/2 y)) (/.f64 #s(literal 1 binary64) y)))) (patch (-.f64 x (/.f64 (log.f64 y) #s(approx (/ 1 (+ 1/2 y)) (/.f64 #s(literal 1 binary64) y)))) #<representation binary64>) () ()) |
#s(alt (/.f64 (log.f64 y) #s(approx (/ 1 (+ 1/2 y)) (/.f64 #s(literal 1 binary64) y))) (patch (/.f64 (log.f64 y) #s(approx (/ 1 (+ 1/2 y)) (/.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ()) |
#s(alt (+.f64 x (-.f64 y z)) (patch (+.f64 x (-.f64 y z)) #<representation binary64>) () ()) |
#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation binary64>) () ()) |
#s(alt (log.f64 y) (patch (log.f64 y) #<representation binary64>) () ()) |
#s(alt #s(approx (/ 1 (+ 1/2 y)) (/.f64 #s(literal 1 binary64) y)) (patch #s(approx (/ 1 (+ 1/2 y)) (/.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ y (+ (* -1 z) (* -1 (* (log y) (+ 1/2 y)))))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))))) #<representation binary64>) () ())) ()) |
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9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 13.0ms | y | @ | 0 | ((/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z)))) (+ (* (- -1/2 y) (log y)) (+ x (- y z))) (- -1/2 y) (/ (- 0 (* z z)) (+ 0 z)) (+ 0 z) (- 0 (* z z)) (- (+ (- x (* (+ y 1/2) (log y))) y) 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)) (- (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) z) (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) (* (- 1 (log y)) y) (- 1 (log y)) (- (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) z) (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) (- x (/ (log y) (/ 1 (+ 1/2 y)))) (/ (log y) (/ 1 (+ 1/2 y))) (+ x (- y z)) (* z z) (log y) (/ 1 (+ 1/2 y))) |
| 12.0ms | y | @ | -inf | ((/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z)))) (+ (* (- -1/2 y) (log y)) (+ x (- y z))) (- -1/2 y) (/ (- 0 (* z z)) (+ 0 z)) (+ 0 z) (- 0 (* z z)) (- (+ (- x (* (+ y 1/2) (log y))) y) 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)) (- (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) z) (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) (* (- 1 (log y)) y) (- 1 (log y)) (- (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) z) (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) (- x (/ (log y) (/ 1 (+ 1/2 y)))) (/ (log y) (/ 1 (+ 1/2 y))) (+ x (- y z)) (* z z) (log y) (/ 1 (+ 1/2 y))) |
| 10.0ms | y | @ | inf | ((/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z)))) (+ (* (- -1/2 y) (log y)) (+ x (- y z))) (- -1/2 y) (/ (- 0 (* z z)) (+ 0 z)) (+ 0 z) (- 0 (* z z)) (- (+ (- x (* (+ y 1/2) (log y))) y) 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)) (- (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) z) (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) (* (- 1 (log y)) y) (- 1 (log y)) (- (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) z) (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) (- x (/ (log y) (/ 1 (+ 1/2 y)))) (/ (log y) (/ 1 (+ 1/2 y))) (+ x (- y z)) (* z z) (log y) (/ 1 (+ 1/2 y))) |
| 6.0ms | z | @ | 0 | ((/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z)))) (+ (* (- -1/2 y) (log y)) (+ x (- y z))) (- -1/2 y) (/ (- 0 (* z z)) (+ 0 z)) (+ 0 z) (- 0 (* z z)) (- (+ (- x (* (+ y 1/2) (log y))) y) 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)) (- (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) z) (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) (* (- 1 (log y)) y) (- 1 (log y)) (- (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) z) (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) (- x (/ (log y) (/ 1 (+ 1/2 y)))) (/ (log y) (/ 1 (+ 1/2 y))) (+ x (- y z)) (* z z) (log y) (/ 1 (+ 1/2 y))) |
| 6.0ms | x | @ | -inf | ((/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z)))) (+ (* (- -1/2 y) (log y)) (+ x (- y z))) (- -1/2 y) (/ (- 0 (* z z)) (+ 0 z)) (+ 0 z) (- 0 (* z z)) (- (+ (- x (* (+ y 1/2) (log y))) y) 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)) (- (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) z) (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) (* (- 1 (log y)) y) (- 1 (log y)) (- (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) z) (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) (- x (/ (log y) (/ 1 (+ 1/2 y)))) (/ (log y) (/ 1 (+ 1/2 y))) (+ x (- y z)) (* z z) (log y) (/ 1 (+ 1/2 y))) |
| 1× | egg-herbie |
| 5 542× | lower-fma.f64 |
| 5 542× | lower-fma.f32 |
| 4 278× | lower-*.f64 |
| 4 278× | lower-*.f32 |
| 3 008× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 506 | 7688 |
| 1 | 1614 | 7178 |
| 2 | 5280 | 7000 |
| 0 | 8211 | 6597 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) |
(+ x (+ y (+ (* -1 z) (* -1 (* (log y) (+ 1/2 y)))))) |
(+ x (+ y (+ (* -1 z) (* -1 (* (log y) (+ 1/2 y)))))) |
(+ x (+ y (+ (* -1 z) (* -1 (* (log y) (+ 1/2 y)))))) |
(/ 1 (+ x (+ y (* -1 (* (log y) (+ 1/2 y)))))) |
(+ (/ 1 (+ x (+ y (* -1 (* (log y) (+ 1/2 y)))))) (/ z (pow (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) 2))) |
(+ (* z (+ (/ 1 (pow (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) 2)) (/ z (pow (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) 3)))) (/ 1 (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))))) |
(+ (* z (+ (* z (+ (/ 1 (pow (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) 3)) (/ z (pow (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) 4)))) (/ 1 (pow (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) 2)))) (/ 1 (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))))) |
(+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) |
(+ x (+ y (+ (* -1 z) (* -1 (* (log y) (+ 1/2 y)))))) |
(+ x (+ y (+ (* -1 z) (* -1 (* (log y) (+ 1/2 y)))))) |
(+ x (+ y (+ (* -1 z) (* -1 (* (log y) (+ 1/2 y)))))) |
(* -1 z) |
(* -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) (* (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))) |
(- (+ 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) |
(+ x (+ y (* -1 z))) |
(+ x (+ y (* -1 z))) |
(+ x (+ y (* -1 z))) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(* -1 z) |
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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))))))))) |
(* -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))))) |
(* 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 (+ (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))))) |
(* 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))))))))) |
(* -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 (+ (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))))) |
y |
(* -1 (* y (- (* -1 (/ (- x z) y)) 1))) |
(* -1 (* y (- (* -1 (/ (- x z) y)) 1))) |
(* -1 (* y (- (* -1 (/ (- x z) 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)))) |
(/ 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 (* (log y) (+ 1/2 y)))) z) |
(- (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z) |
(- (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z) |
(- (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z) |
(/ 1 (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z)) |
(+ (* -1 (/ x (pow (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) 2))) (/ 1 (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z))) |
(+ (* x (- (/ x (pow (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) 3)) (/ 1 (pow (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) 2)))) (/ 1 (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z))) |
(+ (* x (- (* x (+ (* -1 (/ x (pow (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) 4))) (/ 1 (pow (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) 3)))) (/ 1 (pow (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) 2)))) (/ 1 (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z))) |
(- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) |
(- (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z) |
(- (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z) |
(- (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z) |
(- 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)))) |
(- 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 (* (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 (* (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) |
(- (+ x y) z) |
(- (+ x y) z) |
(- (+ x y) z) |
x |
(* x (- (+ 1 (+ (* -1 (/ (* (log y) (+ 1/2 y)) x)) (/ y x))) (/ z x))) |
(* x (- (+ 1 (+ (* -1 (/ (* (log y) (+ 1/2 y)) x)) (/ y x))) (/ z x))) |
(* x (- (+ 1 (+ (* -1 (/ (* (log y) (+ 1/2 y)) x)) (/ y x))) (/ z x))) |
(/ 1 x) |
(/ (- (+ 1 (/ z x)) (+ (* -1 (/ (* (log y) (+ 1/2 y)) x)) (/ y x))) x) |
(/ (- (+ 1 (+ (* -1 (/ (* (- z (+ y (* -1 (* (log y) (+ 1/2 y))))) (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z)) (pow x 2))) (/ z x))) (+ (* -1 (/ (* (log y) (+ 1/2 y)) x)) (/ y x))) x) |
(/ (- (+ 1 (+ (/ z x) (/ (* (- z (+ y (* -1 (* (log y) (+ 1/2 y))))) (pow (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) 2)) (pow x 3)))) (+ (* -1 (/ (* (log y) (+ 1/2 y)) x)) (+ (/ y x) (/ (* (- z (+ y (* -1 (* (log y) (+ 1/2 y))))) (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z)) (pow x 2))))) x) |
x |
(* x (- (+ 1 (+ (* -1 (/ (* (log y) (+ 1/2 y)) x)) (/ y x))) (/ z x))) |
(* x (- (+ 1 (+ (* -1 (/ (* (log y) (+ 1/2 y)) x)) (/ y x))) (/ z x))) |
(* x (- (+ 1 (+ (* -1 (/ (* (log y) (+ 1/2 y)) x)) (/ y x))) (/ z x))) |
x |
(* 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 (/ 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)) (/ (* (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 (/ (* (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))) |
(* x (- (+ 1 (/ y x)) (/ z x))) |
(* x (- (+ 1 (/ y x)) (/ z x))) |
x |
(* -1 (* x (- (* -1 (/ (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) x)) 1))) |
(/ 1 x) |
(* -1 (/ (- (* -1 (/ (- z (+ y (* -1 (* (log y) (+ 1/2 y))))) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (+ z (* -1 (/ (* (- z (+ y (* -1 (* (log y) (+ 1/2 y))))) (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z)) x))) (+ y (* -1 (* (log y) (+ 1/2 y))))) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (+ z (* -1 (/ (- (* -1 (/ (* (- z (+ y (* -1 (* (log y) (+ 1/2 y))))) (pow (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) 2)) x)) (* -1 (* (- z (+ y (* -1 (* (log y) (+ 1/2 y))))) (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z)))) x))) (+ y (* -1 (* (log y) (+ 1/2 y))))) x)) 1) x)) |
x |
(* -1 (* x (- (* -1 (/ (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) x)) 1))) |
x |
(* -1 (* 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 (- (* -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 (* (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 (- (/ (* (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) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- y z) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- y z) x)) 1))) |
| Outputs |
|---|
(+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) |
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x)) |
(+ x (+ y (+ (* -1 z) (* -1 (* (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) (* -1 (* (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) (* -1 (* (log y) (+ 1/2 y)))))) |
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (-.f64 (+.f64 y x) z)) |
(/ 1 (+ x (+ y (* -1 (* (log y) (+ 1/2 y)))))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x))) |
(+ (/ 1 (+ x (+ y (* -1 (* (log y) (+ 1/2 y)))))) (/ z (pow (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) 2))) |
(+.f64 (/.f64 z (pow.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x)))) |
(+ (* z (+ (/ 1 (pow (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) 2)) (/ z (pow (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) 3)))) (/ 1 (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))))) |
(fma.f64 (+.f64 (/.f64 z (pow.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x)) #s(literal 2 binary64)))) z (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x)))) |
(+ (* z (+ (* z (+ (/ 1 (pow (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) 3)) (/ z (pow (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) 4)))) (/ 1 (pow (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) 2)))) (/ 1 (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))))) |
(fma.f64 (fma.f64 (+.f64 (/.f64 z (pow.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x)) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x)) #s(literal 3 binary64)))) z (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x)) #s(literal 2 binary64)))) z (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x)))) |
(+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) |
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x)) |
(+ x (+ y (+ (* -1 z) (* -1 (* (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) (* -1 (* (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) (* -1 (* (log y) (+ 1/2 y)))))) |
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (-.f64 (+.f64 y x) 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 (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) (* (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) (* (log y) (+ 1/2 y))) |
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(* -1 (/ (- (* -1 (/ (- (+ z (* -1 (/ (* (- z (+ y (* -1 (* (log y) (+ 1/2 y))))) (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z)) x))) (+ y (* -1 (* (log y) (+ 1/2 y))))) x)) 1) x)) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (-.f64 y z)) (neg.f64 x)) (-.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z) y) (-.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z) y)) x)) (neg.f64 x)) |
(* -1 (/ (- (* -1 (/ (- (+ z (* -1 (/ (- (* -1 (/ (* (- z (+ y (* -1 (* (log y) (+ 1/2 y))))) (pow (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) 2)) x)) (* -1 (* (- z (+ y (* -1 (* (log y) (+ 1/2 y))))) (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z)))) x))) (+ y (* -1 (* (log y) (+ 1/2 y))))) x)) 1) x)) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (/.f64 (*.f64 (-.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z) y) (-.f64 (/.f64 (pow.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (-.f64 y z)) #s(literal 2 binary64)) x) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (-.f64 y z)))) x) z) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y)) x)) (neg.f64 x)) |
x |
(* -1 (* x (- (* -1 (/ (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (-.f64 y z)) x))) |
(* -1 (* x (- (* -1 (/ (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (-.f64 y z)) x))) |
(* -1 (* x (- (* -1 (/ (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (-.f64 y z)) x))) |
x |
(* -1 (* x (- (* -1 (/ (- y (+ z (* (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) (-.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 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (-.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 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (-.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 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (-.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 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (-.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 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (-.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))) |
x |
(* -1 (* x (- (* 1/2 (/ (log y) x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (log.f64 y) x) #s(literal 1/2 binary64) #s(literal -1 binary64))) |
(* -1 (* x (- (* 1/2 (/ (log y) x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (log.f64 y) x) #s(literal 1/2 binary64) #s(literal -1 binary64))) |
(* -1 (* x (- (* 1/2 (/ (log y) x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (log.f64 y) x) #s(literal 1/2 binary64) #s(literal -1 binary64))) |
x |
(* -1 (* x (- (* -1 (/ (- y (+ z (* (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) (-.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 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (-.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 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (-.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))) |
x |
(* -1 (* x (- (* -1 (/ (- y (+ z (* (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) (-.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 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (-.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 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (-.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))) |
x |
(* -1 (* x (- (/ (* (log y) (+ 1/2 y)) x) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (/.f64 (log.f64 y) x) #s(literal -1 binary64))) |
(* -1 (* x (- (/ (* (log y) (+ 1/2 y)) x) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (/.f64 (log.f64 y) x) #s(literal -1 binary64))) |
(* -1 (* x (- (/ (* (log y) (+ 1/2 y)) x) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (/.f64 (log.f64 y) x) #s(literal -1 binary64))) |
x |
(* -1 (* x (- (* -1 (/ (- y z) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 y z) x))) |
(* -1 (* x (- (* -1 (/ (- y z) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 y z) x))) |
(* -1 (* x (- (* -1 (/ (- y z) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 y z) x))) |
| 3 796× | lower-/.f32 |
| 3 786× | lower-/.f64 |
| 2 960× | lower-fma.f32 |
| 2 958× | lower-fma.f64 |
| 2 934× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 271 |
| 0 | 70 | 258 |
| 1 | 387 | 245 |
| 2 | 3819 | 245 |
| 0 | 8800 | 238 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z)))) |
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))) |
(-.f64 #s(literal -1/2 binary64) y) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z)) |
(+.f64 #s(literal 0 binary64) z) |
(-.f64 #s(literal 0 binary64) (*.f64 z z)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z))) |
(-.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 #s(approx (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) z) |
#s(approx (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) (*.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)) |
(-.f64 (+.f64 (-.f64 x (/.f64 (log.f64 y) #s(approx (/ 1 (+ 1/2 y)) (/.f64 #s(literal 1 binary64) y)))) y) z) |
(+.f64 (-.f64 x (/.f64 (log.f64 y) #s(approx (/ 1 (+ 1/2 y)) (/.f64 #s(literal 1 binary64) y)))) y) |
(-.f64 x (/.f64 (log.f64 y) #s(approx (/ 1 (+ 1/2 y)) (/.f64 #s(literal 1 binary64) y)))) |
(/.f64 (log.f64 y) #s(approx (/ 1 (+ 1/2 y)) (/.f64 #s(literal 1 binary64) y))) |
(+.f64 x (-.f64 y z)) |
(*.f64 z z) |
(log.f64 y) |
#s(approx (/ 1 (+ 1/2 y)) (/.f64 #s(literal 1 binary64) y)) |
| Outputs |
|---|
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Compiled 31 727 to 3 541 computations (88.8% saved)
21 alts after pruning (15 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 456 | 11 | 1 467 |
| Fresh | 4 | 4 | 8 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 3 | 3 |
| Total | 1 462 | 21 | 1 483 |
| Status | Accuracy | Program |
|---|---|---|
| 75.4% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y #s(literal 1/2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 y y)))) (log.f64 y) (+.f64 x (-.f64 y z))))) | |
| 32.6% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (- -1/2 y) (log y)) (+ x (- y z))) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)))) | |
| ▶ | 25.7% | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z)))) (/.f64 #s(literal 1 binary64) x))) |
| 26.3% | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z)))) (/.f64 #s(literal -1 binary64) z))) | |
| ✓ | 81.0% | (-.f64 (+.f64 (-.f64 x (/.f64 (log.f64 y) #s(approx (/ 1 (+ 1/2 y)) (/.f64 #s(literal 1 binary64) y)))) y) z) |
| ✓ | 81.0% | (-.f64 (+.f64 (-.f64 x #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y))) y) z) |
| ✓ | 56.9% | (-.f64 #s(approx (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) z) |
| ✓ | 69.5% | (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z) |
| ✓ | 44.5% | (-.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) |
| ▶ | 78.8% | #s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (fma.f64 (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x)) z) z (neg.f64 z))) |
| 74.5% | #s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x))) | |
| 32.6% | #s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) | |
| 6.5% | #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))) | |
| 10.1% | #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)))) | |
| ▶ | 10.1% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (neg.f64 z) z) z)) |
| 43.5% | #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))) | |
| 63.4% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y #s(approx (+ (* (+ 1/2 y) (log y)) z) (fma.f64 (*.f64 z (+.f64 #s(literal 1/2 binary64) y)) (/.f64 (log.f64 y) z) z)))) | |
| ▶ | 49.8% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y #s(approx (+ (* (+ 1/2 y) (log y)) z) (*.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y))))) |
| ▶ | 32.6% | #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)))) |
| 10.1% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (*.f64 z z) (/.f64 #s(literal -1 binary64) z))) | |
| ✓ | 26.4% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z)) |
Compiled 378 to 345 computations (8.7% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y)) | |
| cost-diff | 0 | #s(approx (+ (* (+ 1/2 y) (log y)) z) (*.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y))) | |
| cost-diff | 0 | (-.f64 y #s(approx (+ (* (+ 1/2 y) (log y)) z) (*.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y)))) | |
| cost-diff | 0 | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y #s(approx (+ (* (+ 1/2 y) (log y)) z) (*.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y))))) | |
| cost-diff | 0 | (*.f64 (log.f64 y) y) | |
| cost-diff | 0 | #s(approx (+ (* (+ 1/2 y) (log y)) z) (*.f64 (log.f64 y) y)) | |
| cost-diff | 0 | (-.f64 y #s(approx (+ (* (+ 1/2 y) (log y)) z) (*.f64 (log.f64 y) y))) | |
| cost-diff | 0 | #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)))) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) x) | |
| cost-diff | 0 | #s(approx (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z)))) (/.f64 #s(literal 1 binary64) x)) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z)))) (/.f64 #s(literal 1 binary64) x))) | |
| 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 | (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x)) | |
| cost-diff | 0 | (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x)) z) | |
| cost-diff | 0 | #s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (fma.f64 (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x)) z) z (neg.f64 z))) | |
| cost-diff | 1024 | (fma.f64 (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x)) z) z (neg.f64 z)) |
| 8 520× | lower-fma.f32 |
| 8 516× | lower-fma.f64 |
| 3 930× | lower-*.f32 |
| 3 924× | lower-*.f64 |
| 1 452× | lower--.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 45 | 294 |
| 0 | 63 | 286 |
| 1 | 117 | 274 |
| 2 | 249 | 268 |
| 3 | 723 | 268 |
| 4 | 2089 | 268 |
| 5 | 6120 | 268 |
| 0 | 8270 | 262 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (fma.f64 (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x)) z) z (neg.f64 z))) |
(fma.f64 (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x)) z) z (neg.f64 z)) |
(/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x)) z) |
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x)) |
(-.f64 #s(literal -1/2 binary64) y) |
#s(literal -1/2 binary64) |
y |
(log.f64 y) |
(+.f64 y x) |
x |
z |
(neg.f64 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 |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z)))) (/.f64 #s(literal 1 binary64) x))) |
#s(literal 1 binary64) |
#s(approx (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z)))) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
x |
#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)))) |
(-.f64 y #s(approx (+ (* (+ 1/2 y) (log y)) z) (*.f64 (log.f64 y) y))) |
y |
#s(approx (+ (* (+ 1/2 y) (log y)) z) (*.f64 (log.f64 y) y)) |
(*.f64 (log.f64 y) y) |
(log.f64 y) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y #s(approx (+ (* (+ 1/2 y) (log y)) z) (*.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y))))) |
(-.f64 y #s(approx (+ (* (+ 1/2 y) (log y)) z) (*.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y)))) |
y |
#s(approx (+ (* (+ 1/2 y) (log y)) z) (*.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y))) |
(*.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y)) |
(+.f64 #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
(log.f64 y) |
| Outputs |
|---|
#s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (fma.f64 (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x)) z) z (neg.f64 z))) |
#s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) (+.f64 (-.f64 y z) x))) |
(fma.f64 (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x)) z) z (neg.f64 z)) |
(fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) (+.f64 (-.f64 y z) x)) |
(/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x)) z) |
(/.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) (+.f64 x y)) z) |
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x)) |
(fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) (+.f64 x y)) |
(-.f64 #s(literal -1/2 binary64) y) |
#s(literal -1/2 binary64) |
y |
(log.f64 y) |
(+.f64 y x) |
(+.f64 x y) |
x |
z |
(neg.f64 z) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (neg.f64 z) z) z)) |
#s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (neg.f64 z)) |
(/.f64 (*.f64 (neg.f64 z) z) z) |
(neg.f64 z) |
(*.f64 (neg.f64 z) z) |
(neg.f64 z) |
z |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z)))) (/.f64 #s(literal 1 binary64) x))) |
#s(literal 1 binary64) |
#s(approx (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z)))) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
x |
#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 (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (-.f64 y #s(approx (+ (* (+ 1/2 y) (log y)) z) (*.f64 (log.f64 y) y)))) |
(-.f64 y #s(approx (+ (* (+ 1/2 y) (log y)) z) (*.f64 (log.f64 y) y))) |
y |
#s(approx (+ (* (+ 1/2 y) (log y)) z) (*.f64 (log.f64 y) y)) |
(*.f64 (log.f64 y) y) |
(log.f64 y) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y #s(approx (+ (* (+ 1/2 y) (log y)) z) (*.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y))))) |
#s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (-.f64 y #s(approx (+ (* (+ 1/2 y) (log y)) z) (*.f64 (-.f64 y #s(literal -1/2 binary64)) (log.f64 y))))) |
(-.f64 y #s(approx (+ (* (+ 1/2 y) (log y)) z) (*.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y)))) |
(-.f64 y #s(approx (+ (* (+ 1/2 y) (log y)) z) (*.f64 (-.f64 y #s(literal -1/2 binary64)) (log.f64 y)))) |
y |
#s(approx (+ (* (+ 1/2 y) (log y)) z) (*.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y))) |
#s(approx (+ (* (+ 1/2 y) (log y)) z) (*.f64 (-.f64 y #s(literal -1/2 binary64)) (log.f64 y))) |
(*.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y)) |
(*.f64 (-.f64 y #s(literal -1/2 binary64)) (log.f64 y)) |
(+.f64 #s(literal 1/2 binary64) y) |
(-.f64 y #s(literal -1/2 binary64)) |
#s(literal 1/2 binary64) |
(log.f64 y) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.08984375 | (-.f64 y #s(approx (+ (* (+ 1/2 y) (log y)) z) (*.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y)))) | |
| accuracy | 0.1328125 | (*.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y)) | |
| accuracy | 16.26239653054198 | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y #s(approx (+ (* (+ 1/2 y) (log y)) z) (*.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y))))) | |
| accuracy | 18.898493961886288 | #s(approx (+ (* (+ 1/2 y) (log y)) z) (*.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y))) | |
| accuracy | 0.08984375 | (-.f64 y #s(approx (+ (* (+ 1/2 y) (log y)) z) (*.f64 (log.f64 y) y))) | |
| accuracy | 0.265625 | (*.f64 (log.f64 y) y) | |
| accuracy | 16.26239653054198 | #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)))) | |
| accuracy | 38.256013405876516 | #s(approx (+ (* (+ 1/2 y) (log y)) z) (*.f64 (log.f64 y) y)) | |
| accuracy | 0 | (/.f64 #s(literal 1 binary64) x) | |
| accuracy | 0.21875 | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z)))) (/.f64 #s(literal 1 binary64) x))) | |
| accuracy | 47.36887055905023 | #s(approx (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z)))) (/.f64 #s(literal 1 binary64) x)) | |
| accuracy | 0 | (*.f64 (neg.f64 z) z) | |
| accuracy | 0 | (neg.f64 z) | |
| accuracy | 32.648688004950834 | (/.f64 (*.f64 (neg.f64 z) z) z) | |
| accuracy | 47.120036120284325 | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (neg.f64 z) z) z)) | |
| accuracy | 0 | #s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (fma.f64 (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x)) z) z (neg.f64 z))) | |
| accuracy | 0.109375 | (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x)) | |
| accuracy | 0.171875 | (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x)) z) | |
| accuracy | 13.610423640775876 | (fma.f64 (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x)) z) z (neg.f64 z)) |
| 83.0ms | 255× | 0 | valid |
| 0.0ms | 1× | 1 | valid |
Compiled 211 to 35 computations (83.4% saved)
ival-div: 21.0ms (33.6% of total)ival-mult: 13.0ms (20.8% of total)ival-add: 12.0ms (19.2% of total)ival-sub: 11.0ms (17.6% of total)ival-log: 4.0ms (6.4% of total)ival-neg: 1.0ms (1.6% 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)| Inputs |
|---|
#s(alt (fma.f64 (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x)) z) z (neg.f64 z)) (patch (fma.f64 (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x)) z) z (neg.f64 z)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (fma.f64 (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x)) z) z (neg.f64 z))) (patch #s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (fma.f64 (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x)) z) z (neg.f64 z))) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x)) z) (patch (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x)) z) #<representation binary64>) () ()) |
#s(alt (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x)) (patch (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (neg.f64 z) z) z) (patch (/.f64 (*.f64 (neg.f64 z) z) z) #<representation binary64>) () ()) |
#s(alt #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (neg.f64 z) z) z)) (patch #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (neg.f64 z) z) z)) #<representation binary64>) () ()) |
#s(alt (*.f64 (neg.f64 z) z) (patch (*.f64 (neg.f64 z) z) #<representation binary64>) () ()) |
#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z)))) (/.f64 #s(literal 1 binary64) x))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z)))) (/.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z)))) (/.f64 #s(literal 1 binary64) x)) (patch #s(approx (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z)))) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<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 (log.f64 y) y)))) (patch #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)))) #<representation binary64>) () ()) |
#s(alt (-.f64 y #s(approx (+ (* (+ 1/2 y) (log y)) z) (*.f64 (log.f64 y) y))) (patch (-.f64 y #s(approx (+ (* (+ 1/2 y) (log y)) z) (*.f64 (log.f64 y) y))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (+ 1/2 y) (log y)) z) (*.f64 (log.f64 y) y)) (patch #s(approx (+ (* (+ 1/2 y) (log y)) z) (*.f64 (log.f64 y) y)) #<representation binary64>) () ()) |
#s(alt (*.f64 (log.f64 y) y) (patch (*.f64 (log.f64 y) y) #<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 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y))))) (patch #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y #s(approx (+ (* (+ 1/2 y) (log y)) z) (*.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y))))) #<representation binary64>) () ()) |
#s(alt (-.f64 y #s(approx (+ (* (+ 1/2 y) (log y)) z) (*.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y)))) (patch (-.f64 y #s(approx (+ (* (+ 1/2 y) (log y)) z) (*.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y)))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (+ 1/2 y) (log y)) z) (*.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y))) (patch #s(approx (+ (* (+ 1/2 y) (log y)) z) (*.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y))) #<representation binary64>) () ()) |
#s(alt (*.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y)) (patch (*.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) (taylor 0 z) (#s(alt (fma.f64 (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x)) z) z (neg.f64 z)) (patch (fma.f64 (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x)) z) z (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ y (+ (* -1 z) (* -1 (* (log y) (+ 1/2 y)))))) (taylor 0 z) (#s(alt (fma.f64 (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x)) z) z (neg.f64 z)) (patch (fma.f64 (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x)) z) z (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ y (+ (* -1 z) (* -1 (* (log y) (+ 1/2 y)))))) (taylor 0 z) (#s(alt (fma.f64 (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x)) z) z (neg.f64 z)) (patch (fma.f64 (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x)) z) z (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ y (+ (* -1 z) (* -1 (* (log y) (+ 1/2 y)))))) (taylor 0 z) (#s(alt (fma.f64 (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x)) z) z (neg.f64 z)) (patch (fma.f64 (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x)) z) z (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) (taylor 0 z) (#s(alt #s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (fma.f64 (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x)) z) z (neg.f64 z))) (patch #s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (fma.f64 (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x)) z) z (neg.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ y (+ (* -1 z) (* -1 (* (log y) (+ 1/2 y)))))) (taylor 0 z) (#s(alt #s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (fma.f64 (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x)) z) z (neg.f64 z))) (patch #s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (fma.f64 (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x)) z) z (neg.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ y (+ (* -1 z) (* -1 (* (log y) (+ 1/2 y)))))) (taylor 0 z) (#s(alt #s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (fma.f64 (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x)) z) z (neg.f64 z))) (patch #s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (fma.f64 (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x)) z) z (neg.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ y (+ (* -1 z) (* -1 (* (log y) (+ 1/2 y)))))) (taylor 0 z) (#s(alt #s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (fma.f64 (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x)) z) z (neg.f64 z))) (patch #s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (fma.f64 (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x)) z) z (neg.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z) (taylor 0 z) (#s(alt (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x)) z) (patch (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x)) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z) (taylor 0 z) (#s(alt (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x)) z) (patch (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x)) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z) (taylor 0 z) (#s(alt (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x)) z) (patch (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x)) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z) (taylor 0 z) (#s(alt (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x)) z) (patch (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x)) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor 0 z) (#s(alt (/.f64 (*.f64 (neg.f64 z) z) z) (patch (/.f64 (*.f64 (neg.f64 z) z) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor 0 z) (#s(alt (/.f64 (*.f64 (neg.f64 z) z) z) (patch (/.f64 (*.f64 (neg.f64 z) z) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor 0 z) (#s(alt (/.f64 (*.f64 (neg.f64 z) z) z) (patch (/.f64 (*.f64 (neg.f64 z) z) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor 0 z) (#s(alt (/.f64 (*.f64 (neg.f64 z) z) z) (patch (/.f64 (*.f64 (neg.f64 z) z) 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 (*.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 (- (+ 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 (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 (- (+ 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 (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 (- (+ 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 (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 (* -1 (pow z 2)) (taylor 0 z) (#s(alt (*.f64 (neg.f64 z) z) (patch (*.f64 (neg.f64 z) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (pow z 2)) (taylor 0 z) (#s(alt (*.f64 (neg.f64 z) z) (patch (*.f64 (neg.f64 z) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (pow z 2)) (taylor 0 z) (#s(alt (*.f64 (neg.f64 z) z) (patch (*.f64 (neg.f64 z) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (pow z 2)) (taylor 0 z) (#s(alt (*.f64 (neg.f64 z) z) (patch (*.f64 (neg.f64 z) 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 (* -1 (* (log y) (+ 1/2 y))))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z)))) (/.f64 #s(literal 1 binary64) x))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z)))) (/.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ y (+ (* -1 z) (* -1 (* (log y) (+ 1/2 y)))))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z)))) (/.f64 #s(literal 1 binary64) x))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z)))) (/.f64 #s(literal 1 binary64) x))) #<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 (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>) () ())) ()) |
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9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 32.0ms | z | @ | 0 | ((+ (* (/ (+ (* (- -1/2 y) (log y)) (+ y x)) z) z) (neg z)) (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (/ (+ (* (- -1/2 y) (log y)) (+ y x)) z) (+ (* (- -1/2 y) (log y)) (+ y x)) (/ (* (neg z) z) z) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (* (neg z) z) (neg z) (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z)))) (/ 1 x) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (- y (+ (* (+ 1/2 y) (log y)) z)) (+ (* (+ 1/2 y) (log y)) z) (* (log y) 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))) |
| 15.0ms | y | @ | inf | ((+ (* (/ (+ (* (- -1/2 y) (log y)) (+ y x)) z) z) (neg z)) (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (/ (+ (* (- -1/2 y) (log y)) (+ y x)) z) (+ (* (- -1/2 y) (log y)) (+ y x)) (/ (* (neg z) z) z) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (* (neg z) z) (neg z) (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z)))) (/ 1 x) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (- y (+ (* (+ 1/2 y) (log y)) z)) (+ (* (+ 1/2 y) (log y)) z) (* (log y) 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))) |
| 13.0ms | z | @ | -inf | ((+ (* (/ (+ (* (- -1/2 y) (log y)) (+ y x)) z) z) (neg z)) (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (/ (+ (* (- -1/2 y) (log y)) (+ y x)) z) (+ (* (- -1/2 y) (log y)) (+ y x)) (/ (* (neg z) z) z) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (* (neg z) z) (neg z) (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z)))) (/ 1 x) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (- y (+ (* (+ 1/2 y) (log y)) z)) (+ (* (+ 1/2 y) (log y)) z) (* (log y) 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))) |
| 12.0ms | z | @ | inf | ((+ (* (/ (+ (* (- -1/2 y) (log y)) (+ y x)) z) z) (neg z)) (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (/ (+ (* (- -1/2 y) (log y)) (+ y x)) z) (+ (* (- -1/2 y) (log y)) (+ y x)) (/ (* (neg z) z) z) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (* (neg z) z) (neg z) (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z)))) (/ 1 x) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (- y (+ (* (+ 1/2 y) (log y)) z)) (+ (* (+ 1/2 y) (log y)) z) (* (log y) 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))) |
| 10.0ms | y | @ | 0 | ((+ (* (/ (+ (* (- -1/2 y) (log y)) (+ y x)) z) z) (neg z)) (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (/ (+ (* (- -1/2 y) (log y)) (+ y x)) z) (+ (* (- -1/2 y) (log y)) (+ y x)) (/ (* (neg z) z) z) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (* (neg z) z) (neg z) (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z)))) (/ 1 x) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (- y (+ (* (+ 1/2 y) (log y)) z)) (+ (* (+ 1/2 y) (log y)) z) (* (log y) 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× | egg-herbie |
| 6 686× | lower-fma.f64 |
| 6 686× | lower-fma.f32 |
| 4 412× | lower-*.f64 |
| 4 412× | lower-*.f32 |
| 3 732× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 481 | 7855 |
| 1 | 1553 | 7228 |
| 2 | 5305 | 7108 |
| 0 | 8740 | 6799 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) |
(+ x (+ y (+ (* -1 z) (* -1 (* (log y) (+ 1/2 y)))))) |
(+ x (+ y (+ (* -1 z) (* -1 (* (log y) (+ 1/2 y)))))) |
(+ x (+ y (+ (* -1 z) (* -1 (* (log y) (+ 1/2 y)))))) |
(+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) |
(+ x (+ y (+ (* -1 z) (* -1 (* (log y) (+ 1/2 y)))))) |
(+ x (+ y (+ (* -1 z) (* -1 (* (log y) (+ 1/2 y)))))) |
(+ x (+ y (+ (* -1 z) (* -1 (* (log y) (+ 1/2 y)))))) |
(/ (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z) |
(/ (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z) |
(/ (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z) |
(/ (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z) |
(* -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)) |
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(fma.f64 (fma.f64 #s(literal -1 binary64) y #s(literal -1/2 binary64)) (log.f64 y) (+.f64 y x)) |
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(+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) |
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(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
x |
(* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x)))) |
(+.f64 x (*.f64 (/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x) x)) |
(* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x)))) |
(+.f64 x (*.f64 (/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x) x)) |
(* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x)))) |
(+.f64 x (*.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)))) |
(+.f64 x (*.f64 (/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x) x)) |
(* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x)))) |
(+.f64 x (*.f64 (/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x) x)) |
(* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x)))) |
(+.f64 x (*.f64 (/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x) x)) |
x |
(* -1 (* x (- (* -1 (/ (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #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 (* -1 (* (log y) (+ 1/2 y)))) z) 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 (* -1 (* (log y) (+ 1/2 y)))) z) 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 (* -1 (* (log y) (+ 1/2 y)))) z) 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 (* -1 (* (log y) (+ 1/2 y)))) z) 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 (* -1 (* (log y) (+ 1/2 y)))) z) 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 z) |
(/.f64 x z) |
(* -1 (* x (- (* -1 (/ (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (/ y z)) x)) (/ 1 z)))) |
(*.f64 (+.f64 (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) y #s(literal -1/2 binary64)) (log.f64 y) y) z) x) (/.f64 #s(literal 1 binary64) z)) x) |
(* -1 (* x (- (* -1 (/ (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (/ y z)) x)) (/ 1 z)))) |
(*.f64 (+.f64 (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) y #s(literal -1/2 binary64)) (log.f64 y) y) z) x) (/.f64 #s(literal 1 binary64) z)) x) |
(* -1 (* x (- (* -1 (/ (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (/ y z)) x)) (/ 1 z)))) |
(*.f64 (+.f64 (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) y #s(literal -1/2 binary64)) (log.f64 y) y) z) x) (/.f64 #s(literal 1 binary64) z)) x) |
x |
(* -1 (* x (- (* -1 (/ (+ y (* -1 (* (log y) (+ 1/2 y)))) x)) 1))) |
(neg.f64 (fma.f64 (/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) (neg.f64 y)) x) x (neg.f64 x))) |
(* -1 (* x (- (* -1 (/ (+ y (* -1 (* (log y) (+ 1/2 y)))) x)) 1))) |
(neg.f64 (fma.f64 (/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) (neg.f64 y)) x) x (neg.f64 x))) |
(* -1 (* x (- (* -1 (/ (+ y (* -1 (* (log y) (+ 1/2 y)))) x)) 1))) |
(neg.f64 (fma.f64 (/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) (neg.f64 y)) x) x (neg.f64 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 (* -1 (* (log y) (+ 1/2 y)))) z) 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 (* -1 (* (log y) (+ 1/2 y)))) z) 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 (* -1 (* (log y) (+ 1/2 y)))) z) 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) |
(/.f64 #s(literal 1 binary64) x) |
(* -1 (/ (- (* -1 (/ (- z (+ y (* -1 (* (log y) (+ 1/2 y))))) x)) 1) x)) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z) y) x)) (neg.f64 x)) |
(* -1 (/ (- (* -1 (/ (- (+ z (* -1 (/ (* (- z (+ y (* -1 (* (log y) (+ 1/2 y))))) (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z)) x))) (+ y (* -1 (* (log y) (+ 1/2 y))))) x)) 1) x)) |
(/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x) (-.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z) y) (neg.f64 (-.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z) y))) x) #s(literal -1 binary64) #s(literal 1 binary64)) x) |
(* -1 (/ (- (* -1 (/ (- (+ z (* -1 (/ (- (* -1 (/ (* (- z (+ y (* -1 (* (log y) (+ 1/2 y))))) (pow (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) 2)) x)) (* -1 (* (- z (+ y (* -1 (* (log y) (+ 1/2 y))))) (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z)))) x))) (+ y (* -1 (* (log y) (+ 1/2 y))))) x)) 1) x)) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (-.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z) y) (-.f64 (/.f64 (pow.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) #s(literal 2 binary64)) x) (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)))) x) (-.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z) y)) x)) (neg.f64 x)) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #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 (* (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))) |
| 5 638× | lower-*.f32 |
| 5 632× | lower-*.f64 |
| 4 280× | lower-fma.f32 |
| 4 276× | lower-fma.f64 |
| 3 322× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 45 | 267 |
| 0 | 63 | 263 |
| 1 | 313 | 249 |
| 2 | 2552 | 249 |
| 0 | 8494 | 243 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x)) z) z (neg.f64 z)) |
#s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (fma.f64 (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x)) z) z (neg.f64 z))) |
(/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x)) z) |
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x)) |
(/.f64 (*.f64 (neg.f64 z) z) z) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (neg.f64 z) z) z)) |
(*.f64 (neg.f64 z) z) |
(neg.f64 z) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z)))) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z)))) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
#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)))) |
(-.f64 y #s(approx (+ (* (+ 1/2 y) (log y)) z) (*.f64 (log.f64 y) y))) |
#s(approx (+ (* (+ 1/2 y) (log y)) z) (*.f64 (log.f64 y) y)) |
(*.f64 (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 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y))))) |
(-.f64 y #s(approx (+ (* (+ 1/2 y) (log y)) z) (*.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y)))) |
#s(approx (+ (* (+ 1/2 y) (log y)) z) (*.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y))) |
(*.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y)) |
| Outputs |
|---|
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Compiled 18 530 to 2 120 computations (88.6% saved)
22 alts after pruning (12 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 826 | 4 | 830 |
| Fresh | 2 | 8 | 10 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 6 | 6 |
| Total | 829 | 22 | 851 |
| Status | Accuracy | Program |
|---|---|---|
| 75.4% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y #s(literal 1/2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 y y)))) (log.f64 y) (+.f64 x (-.f64 y z))))) | |
| 32.6% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (- -1/2 y) (log y)) (+ x (- y z))) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)))) | |
| ✓ | 25.7% | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z)))) (/.f64 #s(literal 1 binary64) x))) |
| 26.3% | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z)))) (/.f64 #s(literal -1 binary64) z))) | |
| ✓ | 81.0% | (-.f64 (+.f64 (-.f64 x (/.f64 (log.f64 y) #s(approx (/ 1 (+ 1/2 y)) (/.f64 #s(literal 1 binary64) y)))) y) z) |
| ✓ | 81.0% | (-.f64 (+.f64 (-.f64 x #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y))) y) z) |
| ✓ | 56.9% | (-.f64 #s(approx (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) z) |
| ✓ | 69.5% | (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z) |
| ✓ | 44.5% | (-.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) |
| 74.5% | #s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x))) | |
| 39.8% | #s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (fma.f64 #s(approx (/ (+ (* (- -1/2 y) (log y)) (+ y x)) z) (/.f64 x z)) z (neg.f64 z))) | |
| 46.9% | #s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (fma.f64 #s(approx (/ (+ (* (- -1/2 y) (log y)) (+ y x)) z) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) (/.f64 y z))) z (neg.f64 z))) | |
| 32.6% | #s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) | |
| 6.5% | #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))) | |
| ✓ | 10.1% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (neg.f64 z) z) z)) |
| 63.4% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y #s(approx (+ (* (+ 1/2 y) (log y)) z) (fma.f64 (*.f64 z (+.f64 #s(literal 1/2 binary64) y)) (/.f64 (log.f64 y) z) z)))) | |
| 64.9% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y #s(approx (+ (* (+ 1/2 y) (log y)) z) (fma.f64 (*.f64 z (log.f64 y)) (/.f64 (+.f64 #s(literal 1/2 binary64) y) z) z)))) | |
| ✓ | 49.8% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y #s(approx (+ (* (+ 1/2 y) (log y)) z) (*.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y))))) |
| ✓ | 32.6% | #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)))) |
| 19.6% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y #s(approx (+ (* (+ 1/2 y) (log y)) z) #s(approx (* (+ 1/2 y) (log y)) (*.f64 #s(literal 1/2 binary64) (log.f64 y)))))) | |
| 10.1% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (*.f64 z z) (/.f64 #s(literal -1 binary64) z))) | |
| ✓ | 26.4% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z)) |
Compiled 692 to 379 computations (45.2% 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 (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (fma.f64 #s(approx (/ (+ (* (- -1/2 y) (log y)) (+ y x)) z) (/.f64 x z)) z (neg.f64 z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (*.f64 z z) (/.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))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z)))) (/.f64 #s(literal -1 binary64) z))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z)))) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 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 #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) #s(approx (* (+ 1/2 y) (log y)) (*.f64 #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 (log.f64 y) y)))) |
#s(approx (- (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) z) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) |
#s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) |
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) #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 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) (-.f64 y #s(approx (+ (* (+ 1/2 y) (log y)) z) (*.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 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 (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) (*.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 (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x))) |
(-.f64 (+.f64 (-.f64 x #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y))) y) z) |
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) |
#s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (fma.f64 #s(approx (/ (+ (* (- -1/2 y) (log y)) (+ y x)) z) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) (/.f64 y z))) z (neg.f64 z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y #s(approx (+ (* (+ 1/2 y) (log y)) z) (fma.f64 (*.f64 z (log.f64 y)) (/.f64 (+.f64 #s(literal 1/2 binary64) y) z) z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y #s(approx (+ (* (+ 1/2 y) (log y)) z) (fma.f64 (*.f64 z (+.f64 #s(literal 1/2 binary64) y)) (/.f64 (log.f64 y) z) z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 (/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x) x x)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (- -1/2 y) (log y)) (+ x (- y z))) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)))) |
#s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (fma.f64 (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x)) z) z (neg.f64 z))) |
(-.f64 (+.f64 (-.f64 x (/.f64 (log.f64 y) #s(approx (/ 1 (+ 1/2 y)) (/.f64 #s(literal 1 binary64) y)))) y) z) |
#s(approx (- (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) z) (fma.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) y #s(literal -1/2 binary64)) (log.f64 y) (+.f64 y x)) z) z (neg.f64 z))) |
(-.f64 (+.f64 (-.f64 x (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) y)))) y) z) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) 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)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y #s(literal 1/2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 y y)))) (log.f64 y) (+.f64 x (-.f64 y z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 (*.f64 (-.f64 (*.f64 y y) (*.f64 z z)) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) y))) (*.f64 (+.f64 y z) (neg.f64 (log.f64 y)))) (*.f64 (+.f64 y z) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) y))))) |
(fma.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y) (neg.f64 y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y) x) y)) (neg.f64 z)) |
| Outputs |
|---|
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) |
5 calls:
| 24.0ms | (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) |
| 17.0ms | x |
| 11.0ms | (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) |
| 11.0ms | z |
| 11.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 1 | x |
| 99.9% | 1 | y |
| 99.9% | 1 | z |
| 99.9% | 1 | (-.f64 (+.f64 (-.f64 x (*.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 25 to 28 computations (-12% 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 (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (fma.f64 #s(approx (/ (+ (* (- -1/2 y) (log y)) (+ y x)) z) (/.f64 x z)) z (neg.f64 z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (*.f64 z z) (/.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))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z)))) (/.f64 #s(literal -1 binary64) z))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z)))) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 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 #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) #s(approx (* (+ 1/2 y) (log y)) (*.f64 #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 (log.f64 y) y)))) |
#s(approx (- (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) z) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) |
#s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) |
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) #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 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) (-.f64 y #s(approx (+ (* (+ 1/2 y) (log y)) z) (*.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 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 (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) (*.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 (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x))) |
(-.f64 (+.f64 (-.f64 x #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y))) y) z) |
| Outputs |
|---|
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z) |
(-.f64 (+.f64 (-.f64 x #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y))) y) z) |
5 calls:
| 11.0ms | (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) |
| 8.0ms | z |
| 7.0ms | (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) |
| 7.0ms | x |
| 7.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.6% | 3 | x |
| 99.6% | 2 | y |
| 99.4% | 3 | z |
| 99.0% | 2 | (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) |
| 99.3% | 2 | (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) |
Compiled 25 to 28 computations (-12% 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 (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (fma.f64 #s(approx (/ (+ (* (- -1/2 y) (log y)) (+ y x)) z) (/.f64 x z)) z (neg.f64 z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (*.f64 z z) (/.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))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z)))) (/.f64 #s(literal -1 binary64) z))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z)))) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 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 #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) #s(approx (* (+ 1/2 y) (log y)) (*.f64 #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 (log.f64 y) y)))) |
#s(approx (- (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) z) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) |
#s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) |
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) #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 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) (-.f64 y #s(approx (+ (* (+ 1/2 y) (log y)) z) (*.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 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 (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) (*.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 (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y 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) (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) |
5 calls:
| 9.0ms | (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) |
| 7.0ms | (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) |
| 7.0ms | z |
| 7.0ms | x |
| 7.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 93.5% | 3 | x |
| 94.1% | 3 | z |
| 91.5% | 2 | (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) |
| 92.3% | 3 | (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) |
| 93.1% | 2 | y |
Compiled 25 to 28 computations (-12% 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 (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (fma.f64 #s(approx (/ (+ (* (- -1/2 y) (log y)) (+ y x)) z) (/.f64 x z)) z (neg.f64 z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (*.f64 z z) (/.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))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z)))) (/.f64 #s(literal -1 binary64) z))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z)))) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 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 #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) #s(approx (* (+ 1/2 y) (log y)) (*.f64 #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 (log.f64 y) y)))) |
#s(approx (- (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) z) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) |
#s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) |
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) #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 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) (-.f64 y #s(approx (+ (* (+ 1/2 y) (log y)) z) (*.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 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)) |
5 calls:
| 10.0ms | y |
| 7.0ms | (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) |
| 6.0ms | (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) |
| 6.0ms | z |
| 6.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 81.7% | 2 | (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) |
| 80.1% | 2 | (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) |
| 72.8% | 3 | x |
| 77.1% | 5 | z |
| 88.7% | 2 | y |
Compiled 25 to 28 computations (-12% 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 (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (fma.f64 #s(approx (/ (+ (* (- -1/2 y) (log y)) (+ y x)) z) (/.f64 x z)) z (neg.f64 z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (*.f64 z z) (/.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))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z)))) (/.f64 #s(literal -1 binary64) z))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z)))) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 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 #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) #s(approx (* (+ 1/2 y) (log y)) (*.f64 #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 (log.f64 y) y)))) |
#s(approx (- (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) z) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) |
#s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) |
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) #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 y (fma.f64 #s(approx (+ 1/2 y) #s(literal 1/2 binary64)) (log.f64 y) z))) |
| Outputs |
|---|
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) |
#s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (fma.f64 #s(approx (/ (+ (* (- -1/2 y) (log y)) (+ y x)) z) (/.f64 x z)) z (neg.f64 z))) |
#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))) |
#s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (fma.f64 #s(approx (/ (+ (* (- -1/2 y) (log y)) (+ y x)) z) (/.f64 x z)) z (neg.f64 z))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z)))) (/.f64 #s(literal 1 binary64) x))) |
3 calls:
| 7.0ms | (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) |
| 5.0ms | (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) |
| 5.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 72.4% | 3 | (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) |
| 78.0% | 5 | (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) |
| 66.9% | 2 | y |
Compiled 23 to 22 computations (4.3% 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 (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (fma.f64 #s(approx (/ (+ (* (- -1/2 y) (log y)) (+ y x)) z) (/.f64 x z)) z (neg.f64 z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (*.f64 z z) (/.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))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z)))) (/.f64 #s(literal -1 binary64) z))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z)))) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 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 #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) #s(approx (* (+ 1/2 y) (log y)) (*.f64 #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 (log.f64 y) y)))) |
#s(approx (- (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) z) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) |
#s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) |
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) #s(approx (+ (* -1/2 (log y)) x) (*.f64 #s(literal -1/2 binary64) (log.f64 y)))) z) |
| Outputs |
|---|
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) |
#s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (fma.f64 #s(approx (/ (+ (* (- -1/2 y) (log y)) (+ y x)) z) (/.f64 x z)) z (neg.f64 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 (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (fma.f64 #s(approx (/ (+ (* (- -1/2 y) (log y)) (+ y x)) z) (/.f64 x z)) z (neg.f64 z))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z)))) (/.f64 #s(literal 1 binary64) x))) |
1 calls:
| 5.0ms | (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 78.0% | 5 | (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) |
Compiled 10 to 9 computations (10% 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 (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (fma.f64 #s(approx (/ (+ (* (- -1/2 y) (log y)) (+ y x)) z) (/.f64 x z)) z (neg.f64 z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (*.f64 z z) (/.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))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z)))) (/.f64 #s(literal -1 binary64) z))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z)))) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 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 #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) #s(approx (* (+ 1/2 y) (log y)) (*.f64 #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 (log.f64 y) y)))) |
#s(approx (- (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) z) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) |
#s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) |
| Outputs |
|---|
#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) #s(approx (* (+ 1/2 y) (log y)) (*.f64 #s(literal 1/2 binary64) (log.f64 y)))))) |
#s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (fma.f64 #s(approx (/ (+ (* (- -1/2 y) (log y)) (+ y x)) z) (/.f64 x z)) z (neg.f64 z))) |
4 calls:
| 5.0ms | x |
| 5.0ms | (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) |
| 5.0ms | (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) |
| 5.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 71.6% | 3 | (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) |
| 52.9% | 5 | x |
| 59.6% | 5 | z |
| 69.9% | 5 | (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) |
Compiled 24 to 25 computations (-4.2% 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 (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (fma.f64 #s(approx (/ (+ (* (- -1/2 y) (log y)) (+ y x)) z) (/.f64 x z)) z (neg.f64 z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (*.f64 z z) (/.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))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z)))) (/.f64 #s(literal -1 binary64) z))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z)))) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 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 #s(literal 1 binary64) (log.f64 y)) y)) |
| Outputs |
|---|
#s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (fma.f64 #s(approx (/ (+ (* (- -1/2 y) (log y)) (+ y x)) z) (/.f64 x z)) z (neg.f64 z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) |
3 calls:
| 8.0ms | (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) |
| 4.0ms | (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) |
| 4.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 60.4% | 3 | (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) |
| 59.1% | 2 | y |
| 56.0% | 2 | (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) |
Compiled 23 to 22 computations (4.3% 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 (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (fma.f64 #s(approx (/ (+ (* (- -1/2 y) (log y)) (+ y x)) z) (/.f64 x z)) z (neg.f64 z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (*.f64 z z) (/.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))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z)))) (/.f64 #s(literal -1 binary64) z))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z)))) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 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))) |
| Outputs |
|---|
#s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (fma.f64 #s(approx (/ (+ (* (- -1/2 y) (log y)) (+ y x)) z) (/.f64 x z)) z (neg.f64 z))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z)))) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (fma.f64 #s(approx (/ (+ (* (- -1/2 y) (log y)) (+ y x)) z) (/.f64 x z)) z (neg.f64 z))) |
4 calls:
| 4.0ms | z |
| 3.0ms | (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) |
| 3.0ms | (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) |
| 3.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 50.3% | 3 | z |
| 39.8% | 1 | (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) |
| 45.0% | 3 | (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) |
| 39.8% | 1 | y |
Compiled 24 to 25 computations (-4.2% 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 (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (fma.f64 #s(approx (/ (+ (* (- -1/2 y) (log y)) (+ y x)) z) (/.f64 x z)) z (neg.f64 z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (*.f64 z z) (/.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))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z)))) (/.f64 #s(literal -1 binary64) z))) |
| Outputs |
|---|
#s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (fma.f64 #s(approx (/ (+ (* (- -1/2 y) (log y)) (+ y x)) z) (/.f64 x z)) z (neg.f64 z))) |
4 calls:
| 5.0ms | z |
| 3.0ms | (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) |
| 3.0ms | x |
| 3.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 39.8% | 1 | y |
| 39.8% | 1 | (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) |
| 39.8% | 1 | x |
| 39.8% | 1 | z |
Compiled 13 to 18 computations (-38.5% saved)
Total -10.5b remaining (-22.3%)
Threshold costs -10.5b (-22.3%)
| 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)) |
| Outputs |
|---|
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z)) |
5 calls:
| 2.0ms | (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) |
| 2.0ms | (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) |
| 2.0ms | x |
| 2.0ms | y |
| 1.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 26.4% | 1 | x |
| 26.4% | 1 | z |
| 26.4% | 1 | (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) |
| 26.4% | 1 | (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) |
| 26.4% | 1 | y |
Compiled 25 to 28 computations (-12% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 12.0ms | 1.16075486298721e-12 | 6.4670112285952765e-12 |
| 6.0ms | 96× | 0 | valid |
Compiled 129 to 130 computations (-0.8% saved)
ival-sub: 1.0ms (26.4% of total)ival-log: 1.0ms (26.4% of total)ival-add: 1.0ms (26.4% of total)ival-mult: 1.0ms (26.4% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 13.0ms | 6.319318201709639e+26 | 2.3356617788457445e+30 |
| 8.0ms | 127× | 0 | valid |
| 0.0ms | 1× | 1 | valid |
Compiled 151 to 168 computations (-11.3% saved)
ival-log: 2.0ms (41.1% of total)ival-add: 1.0ms (20.6% of total)ival-mult: 1.0ms (20.6% of total)ival-sub: 1.0ms (20.6% 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 |
|---|---|---|
| 3.0ms | 6.56458562421422e+144 | 8.043882076869232e+144 |
| 2.0ms | 32× | 0 | valid |
Compiled 45 to 52 computations (-15.6% saved)
ival-sub: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)ival-log: 0.0ms (0% of total)ival-add: 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)| 4× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 8.048529587592216e+191 | 1.5609509675609287e+192 |
| 0.0ms | 351.0751246479485 | 351.8141297200111 |
| 0.0ms | -544.9522040414033 | 2.7944534423509264 |
| 0.0ms | -4.3948881275223525e+128 | -1.734661396128928e+122 |
Compiled 15 to 16 computations (-6.7% saved)
| 4× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 8.048529587592216e+191 | 1.5609509675609287e+192 |
| 0.0ms | 351.0751246479485 | 351.8141297200111 |
| 0.0ms | -544.9522040414033 | 2.7944534423509264 |
| 0.0ms | -4.3948881275223525e+128 | -1.734661396128928e+122 |
Compiled 15 to 16 computations (-6.7% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 351.0751246479485 | 16172.01876130394 |
| 0.0ms | -544.9522040414033 | 13.74097528928197 |
Compiled 15 to 16 computations (-6.7% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 6.56458562421422e+144 | 8.043882076869232e+144 |
Compiled 47 to 52 computations (-10.6% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 26.0ms | 9.36239567296979e-5 | 0.0020449313778247743 |
| 12.0ms | -2.883504022559734e-57 | -1.0052431929113212e-58 |
| 29.0ms | 224× | 0 | valid |
Compiled 225 to 254 computations (-12.9% saved)
ival-mult: 16.0ms (68.2% of total)ival-log: 3.0ms (12.8% of total)ival-sub: 2.0ms (8.5% of total)ival-add: 2.0ms (8.5% 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 |
| 44× | +-commutative-binary64-+.f64 |
| 38× | sub-neg-binary64-neg.f64-+.f64--.f64 |
| 28× | *-commutative-binary64-*.f64 |
| 18× | neg-sub0-binary64--.f64-neg.f64 |
| 18× | neg-mul-1-binary64-*.f64-neg.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 104 | 846 |
| 1 | 136 | 846 |
| 2 | 168 | 846 |
| 3 | 187 | 846 |
| 4 | 197 | 846 |
| 5 | 199 | 846 |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) |
(if (<=.f64 y #s(literal 3961408125713217/618970019642690137449562112 binary64)) (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z) (-.f64 (+.f64 (-.f64 x #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y))) y) z)) |
(if (<=.f64 y #s(literal 102000000000000008502156197888 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 6599999999999999983427997684546366635246255814726570972547551714235031086822361990536140608374548301255283014774621135013285841833551299073802240 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 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) #s(literal -400000000000000030069794766607283450988571625740963285393163640943106370096966081865816440439103214171306382015541010530671001600 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 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) #s(literal -500 binary64)) #s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (fma.f64 #s(approx (/ (+ (* (- -1/2 y) (log y)) (+ y x)) z) (/.f64 x z)) z (neg.f64 z))) (if (<=.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) #s(literal 703/2 binary64)) #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))) (if (<=.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) #s(literal 1000000000000000040900880208761398001286019738266296957960021713442094663491997727554362004538245197373563261847757813447631532786297905940174312186739777303375354598782943738754654264509857792 binary64)) #s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (fma.f64 #s(approx (/ (+ (* (- -1/2 y) (log y)) (+ y x)) z) (/.f64 x z)) z (neg.f64 z))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z)))) (/.f64 #s(literal 1 binary64) x))))))) |
(if (<=.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) #s(literal -400000000000000030069794766607283450988571625740963285393163640943106370096966081865816440439103214171306382015541010530671001600 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 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) #s(literal -500 binary64)) #s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (fma.f64 #s(approx (/ (+ (* (- -1/2 y) (log y)) (+ y x)) z) (/.f64 x z)) z (neg.f64 z))) (if (<=.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) #s(literal 703/2 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) (if (<=.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) #s(literal 1000000000000000040900880208761398001286019738266296957960021713442094663491997727554362004538245197373563261847757813447631532786297905940174312186739777303375354598782943738754654264509857792 binary64)) #s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (fma.f64 #s(approx (/ (+ (* (- -1/2 y) (log y)) (+ y x)) z) (/.f64 x z)) z (neg.f64 z))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z)))) (/.f64 #s(literal 1 binary64) x))))))) |
(if (<=.f64 (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) #s(literal -500 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 500 binary64)) #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y #s(approx (+ (* (+ 1/2 y) (log y)) z) #s(approx (* (+ 1/2 y) (log y)) (*.f64 #s(literal 1/2 binary64) (log.f64 y)))))) #s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (fma.f64 #s(approx (/ (+ (* (- -1/2 y) (log y)) (+ y x)) z) (/.f64 x z)) z (neg.f64 z))))) |
(if (<=.f64 y #s(literal 6599999999999999983427997684546366635246255814726570972547551714235031086822361990536140608374548301255283014774621135013285841833551299073802240 binary64)) #s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (fma.f64 #s(approx (/ (+ (* (- -1/2 y) (log y)) (+ y x)) z) (/.f64 x z)) z (neg.f64 z))) #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y))) |
(if (<=.f64 z #s(literal -1236792945344869/441711766194596082395824375185729628956870974218904739530401550323154944 binary64)) #s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (fma.f64 #s(approx (/ (+ (* (- -1/2 y) (log y)) (+ y x)) z) (/.f64 x z)) z (neg.f64 z))) (if (<=.f64 z #s(literal 3984496719921263/36893488147419103232 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z)))) (/.f64 #s(literal 1 binary64) x))) #s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (fma.f64 #s(approx (/ (+ (* (- -1/2 y) (log y)) (+ y x)) z) (/.f64 x z)) z (neg.f64 z))))) |
#s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (fma.f64 #s(approx (/ (+ (* (- -1/2 y) (log y)) (+ y x)) z) (/.f64 x z)) z (neg.f64 z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z)) |
| Outputs |
|---|
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) |
(-.f64 (+.f64 (-.f64 x (*.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y))) y) z) |
(if (<=.f64 y #s(literal 3961408125713217/618970019642690137449562112 binary64)) (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z) (-.f64 (+.f64 (-.f64 x #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y))) y) z)) |
(if (<=.f64 y #s(literal 102000000000000008502156197888 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 6599999999999999983427997684546366635246255814726570972547551714235031086822361990536140608374548301255283014774621135013285841833551299073802240 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 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) #s(literal -400000000000000030069794766607283450988571625740963285393163640943106370096966081865816440439103214171306382015541010530671001600 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 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) #s(literal -500 binary64)) #s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (fma.f64 #s(approx (/ (+ (* (- -1/2 y) (log y)) (+ y x)) z) (/.f64 x z)) z (neg.f64 z))) (if (<=.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) #s(literal 703/2 binary64)) #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))) (if (<=.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) #s(literal 1000000000000000040900880208761398001286019738266296957960021713442094663491997727554362004538245197373563261847757813447631532786297905940174312186739777303375354598782943738754654264509857792 binary64)) #s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (fma.f64 #s(approx (/ (+ (* (- -1/2 y) (log y)) (+ y x)) z) (/.f64 x z)) z (neg.f64 z))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z)))) (/.f64 #s(literal 1 binary64) x))))))) |
(if (<=.f64 (+.f64 (-.f64 x (*.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y))) y) #s(literal -400000000000000030069794766607283450988571625740963285393163640943106370096966081865816440439103214171306382015541010530671001600 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 x (*.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y))) y) #s(literal -500 binary64)) #s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (fma.f64 #s(approx (/ (+ (* (- -1/2 y) (log y)) (+ y x)) z) (/.f64 x z)) z (neg.f64 z))) (if (<=.f64 (+.f64 (-.f64 x (*.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y))) y) #s(literal 703/2 binary64)) #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))) (if (<=.f64 (+.f64 (-.f64 x (*.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y))) y) #s(literal 1000000000000000040900880208761398001286019738266296957960021713442094663491997727554362004538245197373563261847757813447631532786297905940174312186739777303375354598782943738754654264509857792 binary64)) #s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (fma.f64 #s(approx (/ (+ (* (- -1/2 y) (log y)) (+ y x)) z) (/.f64 x z)) z (neg.f64 z))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z)))) (/.f64 #s(literal 1 binary64) x))))))) |
(if (<=.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) #s(literal -400000000000000030069794766607283450988571625740963285393163640943106370096966081865816440439103214171306382015541010530671001600 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 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) #s(literal -500 binary64)) #s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (fma.f64 #s(approx (/ (+ (* (- -1/2 y) (log y)) (+ y x)) z) (/.f64 x z)) z (neg.f64 z))) (if (<=.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) #s(literal 703/2 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) (if (<=.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) #s(literal 1000000000000000040900880208761398001286019738266296957960021713442094663491997727554362004538245197373563261847757813447631532786297905940174312186739777303375354598782943738754654264509857792 binary64)) #s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (fma.f64 #s(approx (/ (+ (* (- -1/2 y) (log y)) (+ y x)) z) (/.f64 x z)) z (neg.f64 z))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z)))) (/.f64 #s(literal 1 binary64) x))))))) |
(if (<=.f64 (+.f64 (-.f64 x (*.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y))) y) #s(literal -400000000000000030069794766607283450988571625740963285393163640943106370096966081865816440439103214171306382015541010530671001600 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 x (*.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y))) y) #s(literal -500 binary64)) #s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (fma.f64 #s(approx (/ (+ (* (- -1/2 y) (log y)) (+ y x)) z) (/.f64 x z)) z (neg.f64 z))) (if (<=.f64 (+.f64 (-.f64 x (*.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y))) y) #s(literal 703/2 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) (if (<=.f64 (+.f64 (-.f64 x (*.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y))) y) #s(literal 1000000000000000040900880208761398001286019738266296957960021713442094663491997727554362004538245197373563261847757813447631532786297905940174312186739777303375354598782943738754654264509857792 binary64)) #s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (fma.f64 #s(approx (/ (+ (* (- -1/2 y) (log y)) (+ y x)) z) (/.f64 x z)) z (neg.f64 z))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z)))) (/.f64 #s(literal 1 binary64) x))))))) |
(if (<=.f64 (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) #s(literal -500 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 500 binary64)) #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y #s(approx (+ (* (+ 1/2 y) (log y)) z) #s(approx (* (+ 1/2 y) (log y)) (*.f64 #s(literal 1/2 binary64) (log.f64 y)))))) #s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (fma.f64 #s(approx (/ (+ (* (- -1/2 y) (log y)) (+ y x)) z) (/.f64 x z)) z (neg.f64 z))))) |
(if (<=.f64 (-.f64 (+.f64 (-.f64 x (*.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y))) y) z) #s(literal -500 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 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y))) y) z) #s(literal 500 binary64)) #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y #s(approx (+ (* (+ 1/2 y) (log y)) z) #s(approx (* (+ 1/2 y) (log y)) (*.f64 (log.f64 y) #s(literal 1/2 binary64)))))) #s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (fma.f64 #s(approx (/ (+ (* (- -1/2 y) (log y)) (+ y x)) z) (/.f64 x z)) z (neg.f64 z))))) |
(if (<=.f64 y #s(literal 6599999999999999983427997684546366635246255814726570972547551714235031086822361990536140608374548301255283014774621135013285841833551299073802240 binary64)) #s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (fma.f64 #s(approx (/ (+ (* (- -1/2 y) (log y)) (+ y x)) z) (/.f64 x z)) z (neg.f64 z))) #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y))) |
(if (<=.f64 z #s(literal -1236792945344869/441711766194596082395824375185729628956870974218904739530401550323154944 binary64)) #s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (fma.f64 #s(approx (/ (+ (* (- -1/2 y) (log y)) (+ y x)) z) (/.f64 x z)) z (neg.f64 z))) (if (<=.f64 z #s(literal 3984496719921263/36893488147419103232 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z)))) (/.f64 #s(literal 1 binary64) x))) #s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (fma.f64 #s(approx (/ (+ (* (- -1/2 y) (log y)) (+ y x)) z) (/.f64 x z)) z (neg.f64 z))))) |
#s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (fma.f64 #s(approx (/ (+ (* (- -1/2 y) (log y)) (+ y x)) z) (/.f64 x z)) z (neg.f64 z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z)) |
| 13 436× | lower-fma.f64 |
| 13 436× | lower-fma.f32 |
| 10 862× | lower-fma.f64 |
| 10 862× | lower-fma.f32 |
| 9 014× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 231 | 5867 |
| 1 | 730 | 5376 |
| 2 | 2187 | 4944 |
| 3 | 7520 | 4942 |
| 0 | 8661 | 4659 |
| 0 | 10 | 41 |
| 0 | 16 | 41 |
| 1 | 79 | 41 |
| 2 | 699 | 41 |
| 0 | 8843 | 38 |
| 0 | 481 | 7855 |
| 1 | 1553 | 7228 |
| 2 | 5305 | 7108 |
| 0 | 8740 | 6799 |
| 0 | 506 | 7688 |
| 1 | 1614 | 7178 |
| 2 | 5280 | 7000 |
| 0 | 8211 | 6597 |
| 0 | 130 | 1412 |
| 1 | 427 | 1270 |
| 2 | 1348 | 1167 |
| 3 | 4774 | 1136 |
| 0 | 8619 | 1053 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 748 to 370 computations (50.5% saved)
Compiled 802 to 206 computations (74.3% saved)
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