
Time bar (total: 8.9s)
| 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)
| 876.0ms | 8 253× | 0 | valid |
| 0.0ms | 2× | 1 | valid |
| 0.0ms | 1× | 2 | valid |
ival-add: 297.0ms (48.4% of total)ival-log: 119.0ms (19.4% of total)ival-mult: 107.0ms (17.4% of total)ival-sub: 76.0ms (12.4% of total)ival-true: 6.0ms (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 |
| 46.0ms | 512× | 0 | valid |
Compiled 106 to 34 computations (67.9% saved)
ival-log: 12.0ms (42.7% of total)ival-sub: 6.0ms (21.3% of total)ival-add: 5.0ms (17.8% of total)ival-mult: 3.0ms (10.7% of total)ival-true: 1.0ms (3.6% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
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 |
|---|---|---|
| ▶ | 99.8% | (-.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))) |
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 | 0.00390625 | (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) | |
| accuracy | 0.015625 | (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) | |
| accuracy | 0.10546875 | (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) | |
| accuracy | 0.19140625 | (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) |
| 21.0ms | 256× | 0 | valid |
Compiled 47 to 12 computations (74.5% saved)
ival-log: 6.0ms (48.3% of total)ival-add: 3.0ms (24.2% of total)ival-sub: 2.0ms (16.1% of total)ival-mult: 2.0ms (16.1% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) (patch (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) #<representation binary64>) () ()) |
#s(alt (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) (patch (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) #<representation binary64>) () ()) |
#s(alt (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) (patch (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) #<representation binary64>) () ()) |
#s(alt (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) (patch (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (- (+ x y) (* (log y) (+ 1/2 y))) (taylor 0 z) (#s(alt (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) (patch (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y))) (taylor 0 z) (#s(alt (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) (patch (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y))) (taylor 0 z) (#s(alt (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) (patch (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y))) (taylor 0 z) (#s(alt (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) (patch (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor inf z) (#s(alt (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) (patch (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z)))) (taylor inf z) (#s(alt (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) (patch (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z)))) (taylor inf z) (#s(alt (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) (patch (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z)))) (taylor inf z) (#s(alt (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) (patch (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor -inf z) (#s(alt (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) (patch (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z))))) (taylor -inf z) (#s(alt (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) (patch (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z))))) (taylor -inf z) (#s(alt (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) (patch (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z))))) (taylor -inf z) (#s(alt (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) (patch (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) #<representation binary64>) () ())) ()) |
#s(alt (- x (* 1/2 (log y))) (taylor 0 y) (#s(alt (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) (patch (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (* -1 (* y (log y)))) (* 1/2 (log y))) (taylor 0 y) (#s(alt (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) (patch (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (* -1 (* y (log y)))) (* 1/2 (log y))) (taylor 0 y) (#s(alt (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) (patch (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (* -1 (* y (log y)))) (* 1/2 (log y))) (taylor 0 y) (#s(alt (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) (patch (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (- x (+ z (* 1/2 (log y)))) (taylor 0 y) (#s(alt (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) (patch (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y)))) (taylor 0 y) (#s(alt (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) (patch (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y)))) (taylor 0 y) (#s(alt (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) (patch (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y)))) (taylor 0 y) (#s(alt (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) (patch (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) #<representation binary64>) () ())) ()) |
#s(alt (- x (* 1/2 (log y))) (taylor 0 y) (#s(alt (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) (patch (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (* y (- 1 (log y)))) (* 1/2 (log y))) (taylor 0 y) (#s(alt (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) (patch (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (* y (- 1 (log y)))) (* 1/2 (log y))) (taylor 0 y) (#s(alt (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) (patch (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (* y (- 1 (log y)))) (* 1/2 (log y))) (taylor 0 y) (#s(alt (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) (patch (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (log y)) (taylor 0 y) (#s(alt (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) (patch (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 (log y)) (* y (log y))) (taylor 0 y) (#s(alt (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) (patch (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 (log y)) (* y (log y))) (taylor 0 y) (#s(alt (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) (patch (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 (log y)) (* y (log y))) (taylor 0 y) (#s(alt (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) (patch (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (log (/ 1 y))) (taylor inf y) (#s(alt (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) (patch (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (/ x y) (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))))) (taylor inf y) (#s(alt (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) (patch (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (/ x y) (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))))) (taylor inf y) (#s(alt (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) (patch (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (/ x y) (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))))) (taylor inf y) (#s(alt (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) (patch (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* y (- 1 (* -1 (log (/ 1 y))))) (taylor inf y) (#s(alt (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) (patch (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y))))) (taylor inf y) (#s(alt (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) (patch (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y))))) (taylor inf y) (#s(alt (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) (patch (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y))))) (taylor inf y) (#s(alt (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) (patch (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) #<representation binary64>) () ())) ()) |
#s(alt (* y (- 1 (* -1 (log (/ 1 y))))) (taylor inf y) (#s(alt (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) (patch (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))))) (taylor inf y) (#s(alt (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) (patch (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) #<representation binary64>) () ())) ()) |
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#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>) () ())) ()) |
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#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>) () ())) ()) |
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#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 | |
|---|---|---|---|---|
| 6.0ms | 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))) |
| 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))) |
| 4.0ms | y | @ | 0 | ((- x (* (+ y 1/2) (log y))) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+ (- x (* (+ y 1/2) (log y))) y) (* (+ y 1/2) (log y))) |
| 2.0ms | y | @ | inf | ((- x (* (+ y 1/2) (log y))) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+ (- x (* (+ y 1/2) (log y))) y) (* (+ y 1/2) (log y))) |
| 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))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 127 | 1334 |
| 1 | 415 | 1196 |
| 2 | 1319 | 1105 |
| 3 | 4704 | 1074 |
| 0 | 8534 | 991 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (+ x y) (* (log y) (+ 1/2 y))) |
(- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y))) |
(- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y))) |
(- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y))) |
(* -1 z) |
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z)))) |
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z)))) |
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z)))) |
(* -1 z) |
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z))))) |
(- x (* 1/2 (log y))) |
(- (+ x (* -1 (* y (log y)))) (* 1/2 (log y))) |
(- (+ x (* -1 (* y (log y)))) (* 1/2 (log y))) |
(- (+ x (* -1 (* y (log y)))) (* 1/2 (log y))) |
(- x (+ z (* 1/2 (log y)))) |
(- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y)))) |
(- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y)))) |
(- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y)))) |
(- x (* 1/2 (log y))) |
(- (+ x (* y (- 1 (log y)))) (* 1/2 (log y))) |
(- (+ x (* y (- 1 (log y)))) (* 1/2 (log y))) |
(- (+ x (* y (- 1 (log y)))) (* 1/2 (log y))) |
(* 1/2 (log y)) |
(+ (* 1/2 (log y)) (* y (log y))) |
(+ (* 1/2 (log y)) (* y (log y))) |
(+ (* 1/2 (log y)) (* y (log y))) |
(* y (log (/ 1 y))) |
(* y (- (/ x y) (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))))) |
(* y (- (/ x y) (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))))) |
(* y (- (/ x y) (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))))) |
(* y (- 1 (* -1 (log (/ 1 y))))) |
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y))))) |
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y))))) |
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y))))) |
(* y (- 1 (* -1 (log (/ 1 y))))) |
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))))) |
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))))) |
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))))) |
(* -1 (* y (log (/ 1 y)))) |
(* y (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y)))) |
(* y (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y)))) |
(* y (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y)))) |
(* -1 (* y (+ (log -1) (* -1 (log (/ -1 y)))))) |
(* -1 (* y (- (* -1 (/ (- x (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))) |
(* -1 (* y (- (* -1 (/ (- x (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))) |
(* -1 (* y (- (* -1 (/ (- x (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))) |
(* y (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))) |
(* -1 (* y (- (* -1 (/ (- x (+ z (* 1/2 (+ (log -1) (* -1 (log (/ -1 y))))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))))) |
(* -1 (* y (- (* -1 (/ (- x (+ z (* 1/2 (+ (log -1) (* -1 (log (/ -1 y))))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))))) |
(* -1 (* y (- (* -1 (/ (- x (+ z (* 1/2 (+ (log -1) (* -1 (log (/ -1 y))))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))))) |
(* y (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))) |
(* -1 (* y (- (* -1 (/ (- x (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))))) |
(* -1 (* y (- (* -1 (/ (- x (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))))) |
(* -1 (* y (- (* -1 (/ (- x (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))))) |
(* y (+ (log -1) (* -1 (log (/ -1 y))))) |
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y))))) |
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y))))) |
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y))))) |
(* -1 (* (log y) (+ 1/2 y))) |
(- x (* (log y) (+ 1/2 y))) |
(- x (* (log y) (+ 1/2 y))) |
(- x (* (log y) (+ 1/2 y))) |
(- y (+ z (* (log y) (+ 1/2 y)))) |
(- (+ x y) (+ z (* (log y) (+ 1/2 y)))) |
(- (+ x y) (+ z (* (log y) (+ 1/2 y)))) |
(- (+ x y) (+ z (* (log y) (+ 1/2 y)))) |
(- y (* (log y) (+ 1/2 y))) |
(- (+ x y) (* (log y) (+ 1/2 y))) |
(- (+ x y) (* (log y) (+ 1/2 y))) |
(- (+ x y) (* (log y) (+ 1/2 y))) |
x |
(* x (+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x)))) |
(* x (+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x)))) |
(* x (+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x)))) |
x |
(* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x)))) |
(* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x)))) |
(* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x)))) |
x |
(* x (- (+ 1 (/ y x)) (/ (* (log y) (+ 1/2 y)) x))) |
(* x (- (+ 1 (/ y x)) (/ (* (log y) (+ 1/2 y)) x))) |
(* x (- (+ 1 (/ y x)) (/ (* (log y) (+ 1/2 y)) x))) |
x |
(* -1 (* x (- (/ (* (log y) (+ 1/2 y)) x) 1))) |
(* -1 (* x (- (/ (* (log y) (+ 1/2 y)) x) 1))) |
(* -1 (* x (- (/ (* (log y) (+ 1/2 y)) x) 1))) |
x |
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1))) |
x |
(* -1 (* x (- (* -1 (/ (- y (* (log y) (+ 1/2 y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- y (* (log y) (+ 1/2 y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- y (* (log y) (+ 1/2 y))) x)) 1))) |
| Outputs |
|---|
(- (+ x y) (* (log y) (+ 1/2 y))) |
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x)) |
(- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y))) |
(-.f64 y (-.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z) x)) |
(- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y))) |
(-.f64 y (-.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z) x)) |
(- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y))) |
(-.f64 y (-.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z) x)) |
(* -1 z) |
(neg.f64 z) |
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z)))) |
(*.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) y) z) (log.f64 y) (fma.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 y x) #s(literal -1 binary64))) z) |
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z)))) |
(*.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) y) z) (log.f64 y) (fma.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 y x) #s(literal -1 binary64))) z) |
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z)))) |
(*.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) y) z) (log.f64 y) (fma.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 y x) #s(literal -1 binary64))) z) |
(* -1 z) |
(neg.f64 z) |
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z))))) |
(-.f64 y (-.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z) x)) |
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z))))) |
(-.f64 y (-.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z) x)) |
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z))))) |
(-.f64 y (-.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z) x)) |
(- x (* 1/2 (log y))) |
(fma.f64 #s(literal -1/2 binary64) (log.f64 y) x) |
(- (+ x (* -1 (* y (log y)))) (* 1/2 (log y))) |
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x) |
(- (+ x (* -1 (* y (log y)))) (* 1/2 (log y))) |
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x) |
(- (+ x (* -1 (* y (log y)))) (* 1/2 (log y))) |
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x) |
(- x (+ z (* 1/2 (log y)))) |
(-.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x) z) |
(- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y)))) |
(-.f64 y (-.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z) x)) |
(- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y)))) |
(-.f64 y (-.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z) x)) |
(- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y)))) |
(-.f64 y (-.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z) x)) |
(- x (* 1/2 (log y))) |
(fma.f64 #s(literal -1/2 binary64) (log.f64 y) x) |
(- (+ x (* y (- 1 (log y)))) (* 1/2 (log y))) |
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x)) |
(- (+ x (* y (- 1 (log y)))) (* 1/2 (log y))) |
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x)) |
(- (+ x (* y (- 1 (log y)))) (* 1/2 (log y))) |
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x)) |
(* 1/2 (log y)) |
(*.f64 #s(literal 1/2 binary64) (log.f64 y)) |
(+ (* 1/2 (log y)) (* y (log y))) |
(*.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y)) |
(+ (* 1/2 (log y)) (* y (log y))) |
(*.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y)) |
(+ (* 1/2 (log y)) (* y (log y))) |
(*.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y)) |
(* y (log (/ 1 y))) |
(*.f64 (neg.f64 y) (log.f64 y)) |
(* y (- (/ x y) (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))))) |
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (*.f64 (/.f64 x y) y)) |
(* y (- (/ x y) (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))))) |
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (*.f64 (/.f64 x y) y)) |
(* y (- (/ x y) (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))))) |
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (*.f64 (/.f64 x y) y)) |
(* y (- 1 (* -1 (log (/ 1 y))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y) |
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y))))) |
(fma.f64 (fma.f64 (neg.f64 (log.f64 y)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) y)) (/.f64 (-.f64 x z) y)) y y) |
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y))))) |
(fma.f64 (fma.f64 (neg.f64 (log.f64 y)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) y)) (/.f64 (-.f64 x z) y)) y y) |
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y))))) |
(fma.f64 (fma.f64 (neg.f64 (log.f64 y)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) y)) (/.f64 (-.f64 x z) y)) y y) |
(* y (- 1 (* -1 (log (/ 1 y))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y) |
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))))) |
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (fma.f64 (/.f64 x y) y y)) |
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))))) |
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (fma.f64 (/.f64 x y) y y)) |
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))))) |
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (fma.f64 (/.f64 x y) y y)) |
(* -1 (* y (log (/ 1 y)))) |
(*.f64 (log.f64 y) y) |
(* y (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y)))) |
(*.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y)) |
(* y (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y)))) |
(*.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y)) |
(* y (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y)))) |
(*.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y)) |
(* -1 (* y (+ (log -1) (* -1 (log (/ -1 y)))))) |
(*.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64))) y) |
(* -1 (* y (- (* -1 (/ (- x (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))) |
(*.f64 (+.f64 (/.f64 x y) (*.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64))) (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal -1 binary64)))) y) |
(* -1 (* y (- (* -1 (/ (- x (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))) |
(*.f64 (+.f64 (/.f64 x y) (*.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64))) (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal -1 binary64)))) y) |
(* -1 (* y (- (* -1 (/ (- x (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))) |
(*.f64 (+.f64 (/.f64 x y) (*.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64))) (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal -1 binary64)))) y) |
(* y (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))) |
(fma.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64))) y y) |
(* -1 (* y (- (* -1 (/ (- x (+ z (* 1/2 (+ (log -1) (* -1 (log (/ -1 y))))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))))) |
(*.f64 (+.f64 (+.f64 (/.f64 (-.f64 x z) y) (*.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64))) (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal -1 binary64)))) #s(literal 1 binary64)) y) |
(* -1 (* y (- (* -1 (/ (- x (+ z (* 1/2 (+ (log -1) (* -1 (log (/ -1 y))))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))))) |
(*.f64 (+.f64 (+.f64 (/.f64 (-.f64 x z) y) (*.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64))) (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal -1 binary64)))) #s(literal 1 binary64)) y) |
(* -1 (* y (- (* -1 (/ (- x (+ z (* 1/2 (+ (log -1) (* -1 (log (/ -1 y))))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))))) |
(*.f64 (+.f64 (+.f64 (/.f64 (-.f64 x z) y) (*.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64))) (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal -1 binary64)))) #s(literal 1 binary64)) y) |
(* y (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))) |
(fma.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64))) y y) |
(* -1 (* y (- (* -1 (/ (- x (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))))) |
(*.f64 (+.f64 (+.f64 (/.f64 x y) (*.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64))) (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal -1 binary64)))) #s(literal 1 binary64)) y) |
(* -1 (* y (- (* -1 (/ (- x (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))))) |
(*.f64 (+.f64 (+.f64 (/.f64 x y) (*.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64))) (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal -1 binary64)))) #s(literal 1 binary64)) y) |
(* -1 (* y (- (* -1 (/ (- x (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))))) |
(*.f64 (+.f64 (+.f64 (/.f64 x y) (*.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64))) (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal -1 binary64)))) #s(literal 1 binary64)) y) |
(* y (+ (log -1) (* -1 (log (/ -1 y))))) |
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) y) |
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y))))) |
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y)))) y) |
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y))))) |
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y)))) y) |
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y))))) |
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y)))) y) |
(* -1 (* (log y) (+ 1/2 y))) |
(*.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y)) |
(- x (* (log y) (+ 1/2 y))) |
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x) |
(- x (* (log y) (+ 1/2 y))) |
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x) |
(- x (* (log y) (+ 1/2 y))) |
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x) |
(- y (+ z (* (log y) (+ 1/2 y)))) |
(-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) |
(- (+ x y) (+ z (* (log y) (+ 1/2 y)))) |
(-.f64 y (-.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z) x)) |
(- (+ x y) (+ z (* (log y) (+ 1/2 y)))) |
(-.f64 y (-.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z) x)) |
(- (+ x y) (+ z (* (log y) (+ 1/2 y)))) |
(-.f64 y (-.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z) x)) |
(- y (* (log y) (+ 1/2 y))) |
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y) |
(- (+ x y) (* (log y) (+ 1/2 y))) |
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x)) |
(- (+ x y) (* (log y) (+ 1/2 y))) |
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x)) |
(- (+ x y) (* (log y) (+ 1/2 y))) |
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x)) |
x |
(* x (+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x)))) |
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x) |
(* x (+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x)))) |
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x) |
(* x (+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x)))) |
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x) |
x |
(* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x)))) |
(fma.f64 (/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x) x x) |
(* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x)))) |
(fma.f64 (/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x) x x) |
(* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x)))) |
(fma.f64 (/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x) x x) |
x |
(* x (- (+ 1 (/ y x)) (/ (* (log y) (+ 1/2 y)) x))) |
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (fma.f64 (/.f64 y x) x x)) |
(* x (- (+ 1 (/ y x)) (/ (* (log y) (+ 1/2 y)) x))) |
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (fma.f64 (/.f64 y x) x x)) |
(* x (- (+ 1 (/ y x)) (/ (* (log y) (+ 1/2 y)) x))) |
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (fma.f64 (/.f64 y x) x x)) |
x |
(* -1 (* x (- (/ (* (log y) (+ 1/2 y)) x) 1))) |
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x) |
(* -1 (* x (- (/ (* (log y) (+ 1/2 y)) x) 1))) |
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x) |
(* -1 (* x (- (/ (* (log y) (+ 1/2 y)) x) 1))) |
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x) |
x |
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1))) |
(fma.f64 (/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x) x x) |
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1))) |
(fma.f64 (/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x) x x) |
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1))) |
(fma.f64 (/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x) x x) |
x |
(* -1 (* x (- (* -1 (/ (- y (* (log y) (+ 1/2 y))) x)) 1))) |
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (fma.f64 (/.f64 y x) x x)) |
(* -1 (* x (- (* -1 (/ (- y (* (log y) (+ 1/2 y))) x)) 1))) |
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (fma.f64 (/.f64 y x) x x)) |
(* -1 (* x (- (* -1 (/ (- y (* (log y) (+ 1/2 y))) x)) 1))) |
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (fma.f64 (/.f64 y x) x x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 36 |
| 0 | 16 | 36 |
| 1 | 79 | 36 |
| 2 | 699 | 36 |
| 0 | 8843 | 33 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) |
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) |
(+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) |
(*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) |
| Outputs |
|---|
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Compiled 13 403 to 1 423 computations (89.4% saved)
13 alts after pruning (13 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 431 | 13 | 444 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 432 | 13 | 445 |
| Status | Accuracy | Program |
|---|---|---|
| 98.5% | (fma.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x y)) (*.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (-.f64 x y)) (pow.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (-.f64 x y)) #s(literal -1 binary64))) (neg.f64 z)) | |
| 59.8% | (/.f64 (fma.f64 (fma.f64 y y (*.f64 (neg.f64 z) z)) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x)) (*.f64 (+.f64 y z) #s(literal 1 binary64))) (*.f64 (+.f64 y z) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x)))) | |
| 76.4% | (-.f64 (+.f64 (-.f64 x (/.f64 (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (-.f64 y #s(literal 1/2 binary64)))) y) z) | |
| ▶ | 99.8% | (-.f64 (+.f64 (-.f64 x (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) y)))) y) z) |
| 66.3% | (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z) | |
| ▶ | 57.5% | (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) z) |
| 85.8% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (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)) | |
| ▶ | 84.9% | #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)) |
| 78.2% | #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))) | |
| 71.6% | #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))) | |
| ▶ | 80.1% | #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)) |
| 36.2% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) | |
| ▶ | 24.1% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z)) |
Compiled 398 to 290 computations (27.1% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (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))) | |
| cost-diff | 0 | #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)) | |
| cost-diff | 192 | (fma.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 y x) #s(literal -1 binary64)) | |
| cost-diff | 1728 | (*.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) | |
| cost-diff | 0 | (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) | |
| cost-diff | 0 | (/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x) | |
| cost-diff | 0 | #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)) | |
| cost-diff | 896 | (fma.f64 (/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x) x x) | |
| 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 (* (+ y 1/2) (log y))) y) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) | |
| cost-diff | 0 | (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) z) | |
| cost-diff | 0 | (neg.f64 z) | |
| cost-diff | 0 | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z)) | |
| cost-diff | 0 | (+.f64 (-.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))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 300 |
| 0 | 65 | 292 |
| 1 | 135 | 278 |
| 2 | 309 | 270 |
| 3 | 834 | 266 |
| 4 | 2464 | 266 |
| 5 | 7676 | 266 |
| 0 | 8366 | 262 |
| 1× | iter limit |
| 1× | node limit |
| 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) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) z) |
#s(approx (+ (- x (* (+ y 1/2) (log 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 |
#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)) |
(fma.f64 (/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x) x x) |
(/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x) |
(-.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 |
x |
#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 (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) |
(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))) |
(/.f64 (-.f64 #s(literal -1/2 binary64) y) z) |
(-.f64 #s(literal -1/2 binary64) y) |
#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)) |
(/.f64 #s(literal 1 binary64) z) |
#s(literal 1 binary64) |
(+.f64 y x) |
x |
#s(literal -1 binary64) |
| 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) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) z) |
#s(approx (+ (- x (* (+ y 1/2) (log 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 |
#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)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (-.f64 (+.f64 y x) z))) |
(fma.f64 (/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x) x x) |
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (-.f64 (+.f64 y x) z)) |
(/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x) |
(/.f64 (-.f64 y (fma.f64 (-.f64 y #s(literal -1/2 binary64)) (log.f64 y) z)) x) |
(-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) |
(-.f64 y (fma.f64 (-.f64 y #s(literal -1/2 binary64)) (log.f64 y) z)) |
y |
(fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z) |
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) (log.f64 y) z) |
(+.f64 #s(literal 1/2 binary64) y) |
(-.f64 y #s(literal -1/2 binary64)) |
#s(literal 1/2 binary64) |
(log.f64 y) |
z |
x |
#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)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (-.f64 (+.f64 y x) 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) |
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (-.f64 (+.f64 y x) z)) |
(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))) |
(fma.f64 (/.f64 (log.f64 y) z) (-.f64 #s(literal -1/2 binary64) y) (+.f64 (/.f64 (+.f64 y x) z) #s(literal -1 binary64))) |
(/.f64 (-.f64 #s(literal -1/2 binary64) y) z) |
(-.f64 #s(literal -1/2 binary64) y) |
#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)) |
(+.f64 (/.f64 (+.f64 y x) z) #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) z) |
#s(literal 1 binary64) |
(+.f64 y x) |
x |
#s(literal -1 binary64) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.015625 | (/.f64 (-.f64 #s(literal -1/2 binary64) y) z) | |
| accuracy | 0.15625 | (fma.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 y x) #s(literal -1 binary64)) | |
| accuracy | 5.346010239730912 | (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))) | |
| accuracy | 12.308683713295506 | (*.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) | |
| accuracy | 0.125 | (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) | |
| accuracy | 0.15234375 | (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z) | |
| accuracy | 0.872699645583312 | (/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x) | |
| accuracy | 9.678242698486164 | (fma.f64 (/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x) x x) | |
| accuracy | 0 | (log.f64 y) | |
| accuracy | 0.00390625 | (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) z) | |
| accuracy | 0.27734375 | (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y) | |
| accuracy | 36.2258814789906 | #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) | |
| accuracy | 0 | (neg.f64 z) | |
| accuracy | 48.59055271571275 | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z)) | |
| accuracy | 0.015625 | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) y)) | |
| accuracy | 0.015625 | (-.f64 x (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) y)))) | |
| accuracy | 0.10546875 | (+.f64 (-.f64 x (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) y)))) y) | |
| accuracy | 0.2109375 | (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) y))) |
| 123.0ms | 256× | 0 | valid |
Compiled 261 to 39 computations (85.1% saved)
ival-div: 10.0ms (23% of total)ival-add: 10.0ms (23% of total)ival-mult: 10.0ms (23% of total)ival-sub: 7.0ms (16.1% of total)ival-log: 4.0ms (9.2% of total)ival-neg: 1.0ms (2.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 (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) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) z) (patch (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) z) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) (patch #s(approx (+ (- x (* (+ y 1/2) (log 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 (fma.f64 (/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x) x x) (patch (fma.f64 (/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x) x x) #<representation binary64>) () ()) |
#s(alt #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)) (patch #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)) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x) (patch (/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x) #<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 (*.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) (patch (*.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) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 y x) #s(literal -1 binary64)) (patch (fma.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 y x) #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt #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)) (patch #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)) #<representation binary64>) () ()) |
#s(alt (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))) (patch (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))) #<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 (log.f64 y) (patch (log.f64 y) #<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 (-.f64 #s(literal -1/2 binary64) y) z) (patch (/.f64 (-.f64 #s(literal -1/2 binary64) y) z) #<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>) () ())) ()) |
#s(alt (- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y))) (taylor 0 z) (#s(alt #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z)) (patch #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x y) (* (log y) (+ 1/2 y))) (taylor 0 z) (#s(alt (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) z) (patch (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (*.f64 (-.f64 #s(literal 1 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 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) z) (patch (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (*.f64 (-.f64 #s(literal 1 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 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) z) (patch (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (*.f64 (-.f64 #s(literal 1 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 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) z) (patch (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) z) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x y) (* (log y) (+ 1/2 y))) (taylor 0 z) (#s(alt (fma.f64 (/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x) x x) (patch (fma.f64 (/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x) x x) #<representation binary64>) () ())) ()) |
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9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 103.0ms | 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 (log y)) y) (- 1 (log y)) (+ (* (/ (- y (+ (* (+ 1/2 y) (log y)) z)) x) x) x) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/ (- y (+ (* (+ 1/2 y) (log y)) z)) x) (- y (+ (* (+ 1/2 y) (log y)) z)) (* (+ (* (/ (- -1/2 y) z) (log y)) (+ (* (/ 1 z) (+ y x)) -1)) z) (+ (* (/ 1 z) (+ y x)) -1) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+ (* (/ (- -1/2 y) z) (log y)) (+ (* (/ 1 z) (+ y x)) -1)) (/ 1 (+ 1/2 y)) (log y) (+ (* (+ 1/2 y) (log y)) z) (/ (- -1/2 y) z)) |
| 76.0ms | 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 (log y)) y) (- 1 (log y)) (+ (* (/ (- y (+ (* (+ 1/2 y) (log y)) z)) x) x) x) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/ (- y (+ (* (+ 1/2 y) (log y)) z)) x) (- y (+ (* (+ 1/2 y) (log y)) z)) (* (+ (* (/ (- -1/2 y) z) (log y)) (+ (* (/ 1 z) (+ y x)) -1)) z) (+ (* (/ 1 z) (+ y x)) -1) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+ (* (/ (- -1/2 y) z) (log y)) (+ (* (/ 1 z) (+ y x)) -1)) (/ 1 (+ 1/2 y)) (log y) (+ (* (+ 1/2 y) (log y)) z) (/ (- -1/2 y) z)) |
| 67.0ms | x | @ | 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 (log y)) y) (- 1 (log y)) (+ (* (/ (- y (+ (* (+ 1/2 y) (log y)) z)) x) x) x) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/ (- y (+ (* (+ 1/2 y) (log y)) z)) x) (- y (+ (* (+ 1/2 y) (log y)) z)) (* (+ (* (/ (- -1/2 y) z) (log y)) (+ (* (/ 1 z) (+ y x)) -1)) z) (+ (* (/ 1 z) (+ y x)) -1) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+ (* (/ (- -1/2 y) z) (log y)) (+ (* (/ 1 z) (+ y x)) -1)) (/ 1 (+ 1/2 y)) (log y) (+ (* (+ 1/2 y) (log y)) z) (/ (- -1/2 y) z)) |
| 36.0ms | 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 (log y)) y) (- 1 (log y)) (+ (* (/ (- y (+ (* (+ 1/2 y) (log y)) z)) x) x) x) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/ (- y (+ (* (+ 1/2 y) (log y)) z)) x) (- y (+ (* (+ 1/2 y) (log y)) z)) (* (+ (* (/ (- -1/2 y) z) (log y)) (+ (* (/ 1 z) (+ y x)) -1)) z) (+ (* (/ 1 z) (+ y x)) -1) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+ (* (/ (- -1/2 y) z) (log y)) (+ (* (/ 1 z) (+ y x)) -1)) (/ 1 (+ 1/2 y)) (log y) (+ (* (+ 1/2 y) (log y)) z) (/ (- -1/2 y) z)) |
| 18.0ms | 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 (log y)) y) (- 1 (log y)) (+ (* (/ (- y (+ (* (+ 1/2 y) (log y)) z)) x) x) x) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/ (- y (+ (* (+ 1/2 y) (log y)) z)) x) (- y (+ (* (+ 1/2 y) (log y)) z)) (* (+ (* (/ (- -1/2 y) z) (log y)) (+ (* (/ 1 z) (+ y x)) -1)) z) (+ (* (/ 1 z) (+ y x)) -1) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+ (* (/ (- -1/2 y) z) (log y)) (+ (* (/ 1 z) (+ y x)) -1)) (/ 1 (+ 1/2 y)) (log y) (+ (* (+ 1/2 y) (log y)) z) (/ (- -1/2 y) z)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 401 | 8141 |
| 1 | 1271 | 7493 |
| 2 | 3945 | 7227 |
| 0 | 8714 | 6787 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
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(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 (/ (- 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))) |
(/ (- y (+ z (* (log y) (+ 1/2 y)))) x) |
(/ (- y (+ z (* (log y) (+ 1/2 y)))) x) |
(/ (- y (+ z (* (log y) (+ 1/2 y)))) x) |
(/ (- y (+ z (* (log y) (+ 1/2 y)))) x) |
x |
(* -1 (* x (- (* -1 (/ (* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (/ y z)) 1)) x)) 1))) |
(* -1 (* x (- (* -1 (/ (* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (/ y z)) 1)) x)) 1))) |
(* -1 (* x (- (* -1 (/ (* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (/ y z)) 1)) x)) 1))) |
(/ x z) |
(* -1 (* x (- (* -1 (/ (- (/ y z) 1) x)) (/ 1 z)))) |
(* -1 (* x (- (* -1 (/ (- (/ y z) 1) x)) (/ 1 z)))) |
(* -1 (* x (- (* -1 (/ (- (/ y z) 1) x)) (/ 1 z)))) |
x |
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1))) |
(/ x z) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (/ y z)) 1) x)) (/ 1 z)))) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (/ y z)) 1) x)) (/ 1 z)))) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (/ y z)) 1) x)) (/ 1 z)))) |
| 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))) |
(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)) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(- (+ x y) (* (log y) (+ 1/2 y))) |
(fma.f64 (-.f64 #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))) |
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x)) |
(- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y))) |
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (-.f64 (+.f64 y x) z)) |
(- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y))) |
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (-.f64 (+.f64 y x) z)) |
(- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y))) |
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (-.f64 (+.f64 y x) z)) |
(/ (- y (* (log y) (+ 1/2 y))) x) |
(/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y) x) |
(- (+ (* -1 (/ z x)) (/ y x)) (/ (* (log y) (+ 1/2 y)) x)) |
(/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x) |
(- (+ (* -1 (/ z x)) (/ y x)) (/ (* (log y) (+ 1/2 y)) x)) |
(/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x) |
(- (+ (* -1 (/ z x)) (/ y x)) (/ (* (log y) (+ 1/2 y)) x)) |
(/.f64 (-.f64 y (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) |
(- (+ 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)) |
(+ 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)) |
(/ (+ x y) z) |
(/.f64 (+.f64 y x) z) |
(/ (+ x (+ y (* -1 z))) z) |
(/.f64 (-.f64 (+.f64 y x) z) z) |
(/ (+ x (+ y (* -1 z))) z) |
(/.f64 (-.f64 (+.f64 y x) z) z) |
(/ (+ x (+ y (* -1 z))) z) |
(/.f64 (-.f64 (+.f64 y x) z) z) |
(- (+ x y) (* (log y) (+ 1/2 y))) |
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x)) |
(- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y))) |
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (-.f64 (+.f64 y x) z)) |
(- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y))) |
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (-.f64 (+.f64 y x) z)) |
(- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y))) |
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (-.f64 (+.f64 y x) z)) |
(/ (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z) |
(/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x)) z) |
(/ (+ x (+ y (+ (* -1 z) (* -1 (* (log y) (+ 1/2 y)))))) z) |
(/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (-.f64 (+.f64 y x) z)) z) |
(/ (+ x (+ y (+ (* -1 z) (* -1 (* (log y) (+ 1/2 y)))))) z) |
(/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (-.f64 (+.f64 y x) z)) z) |
(/ (+ x (+ y (+ (* -1 z) (* -1 (* (log y) (+ 1/2 y)))))) z) |
(/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (-.f64 (+.f64 y x) z)) 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) |
(* -1 (/ (+ 1/2 y) z)) |
(/.f64 (-.f64 #s(literal -1/2 binary64) y) z) |
(* -1 (/ (+ 1/2 y) z)) |
(/.f64 (-.f64 #s(literal -1/2 binary64) y) z) |
(* -1 (/ (+ 1/2 y) z)) |
(/.f64 (-.f64 #s(literal -1/2 binary64) y) z) |
(* -1 (/ (+ 1/2 y) z)) |
(/.f64 (-.f64 #s(literal -1/2 binary64) y) z) |
(* -1 z) |
(neg.f64 z) |
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z)))) |
(*.f64 (+.f64 (-.f64 (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y) z) #s(literal 1 binary64)) (/.f64 x z)) z) |
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z)))) |
(*.f64 (+.f64 (-.f64 (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y) z) #s(literal 1 binary64)) (/.f64 x z)) z) |
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z)))) |
(*.f64 (+.f64 (-.f64 (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y) z) #s(literal 1 binary64)) (/.f64 x z)) z) |
(* -1 z) |
(neg.f64 z) |
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z)))) |
(*.f64 (+.f64 (-.f64 (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y) z) #s(literal 1 binary64)) (/.f64 x z)) z) |
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z)))) |
(*.f64 (+.f64 (-.f64 (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y) z) #s(literal 1 binary64)) (/.f64 x z)) z) |
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z)))) |
(*.f64 (+.f64 (-.f64 (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y) z) #s(literal 1 binary64)) (/.f64 x z)) 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 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y) z) #s(literal 1 binary64)) (/.f64 x z)) z) |
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z)))) |
(*.f64 (+.f64 (-.f64 (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y) z) #s(literal 1 binary64)) (/.f64 x z)) z) |
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z)))) |
(*.f64 (+.f64 (-.f64 (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y) z) #s(literal 1 binary64)) (/.f64 x z)) z) |
(* -1 z) |
(neg.f64 z) |
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z)))) |
(*.f64 (+.f64 (-.f64 (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y) z) #s(literal 1 binary64)) (/.f64 x z)) z) |
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z)))) |
(*.f64 (+.f64 (-.f64 (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y) z) #s(literal 1 binary64)) (/.f64 x z)) z) |
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z)))) |
(*.f64 (+.f64 (-.f64 (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y) z) #s(literal 1 binary64)) (/.f64 x z)) z) |
(* -1 z) |
(neg.f64 z) |
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z)))) |
(*.f64 (+.f64 (-.f64 (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y) z) #s(literal 1 binary64)) (/.f64 x z)) z) |
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z)))) |
(*.f64 (+.f64 (-.f64 (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y) z) #s(literal 1 binary64)) (/.f64 x z)) z) |
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z)))) |
(*.f64 (+.f64 (-.f64 (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y) z) #s(literal 1 binary64)) (/.f64 x z)) z) |
(* -1 (/ z x)) |
(/.f64 (neg.f64 z) x) |
(* z (- (/ y (* x z)) (+ (/ 1 x) (/ (* (log y) (+ 1/2 y)) (* x z))))) |
(*.f64 (-.f64 (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y) z) #s(literal 1 binary64)) (/.f64 z x)) |
(* z (- (/ y (* x z)) (+ (/ 1 x) (/ (* (log y) (+ 1/2 y)) (* x z))))) |
(*.f64 (-.f64 (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y) z) #s(literal 1 binary64)) (/.f64 z x)) |
(* z (- (/ y (* x z)) (+ (/ 1 x) (/ (* (log y) (+ 1/2 y)) (* x z))))) |
(*.f64 (-.f64 (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y) z) #s(literal 1 binary64)) (/.f64 z x)) |
(* -1 z) |
(neg.f64 z) |
(* z (- (/ y z) (+ 1 (/ (* (log y) (+ 1/2 y)) z)))) |
(*.f64 (-.f64 (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y) z) #s(literal 1 binary64)) z) |
(* z (- (/ y z) (+ 1 (/ (* (log y) (+ 1/2 y)) z)))) |
(*.f64 (-.f64 (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y) z) #s(literal 1 binary64)) z) |
(* z (- (/ y z) (+ 1 (/ (* (log y) (+ 1/2 y)) z)))) |
(*.f64 (-.f64 (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y) z) #s(literal 1 binary64)) z) |
(* -1 z) |
(neg.f64 z) |
(* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z))) 1)) |
(*.f64 (+.f64 (-.f64 (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y) z) #s(literal 1 binary64)) (/.f64 x z)) z) |
(* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z))) 1)) |
(*.f64 (+.f64 (-.f64 (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y) z) #s(literal 1 binary64)) (/.f64 x z)) z) |
(* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z))) 1)) |
(*.f64 (+.f64 (-.f64 (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y) z) #s(literal 1 binary64)) (/.f64 x z)) z) |
-1 |
#s(literal -1 binary64) |
(- (+ (/ x z) (/ y z)) 1) |
(-.f64 (+.f64 (/.f64 y z) (/.f64 x z)) #s(literal 1 binary64)) |
(- (+ (/ x z) (/ y z)) 1) |
(-.f64 (+.f64 (/.f64 y z) (/.f64 x z)) #s(literal 1 binary64)) |
(- (+ (/ x z) (/ y z)) 1) |
(-.f64 (+.f64 (/.f64 y z) (/.f64 x z)) #s(literal 1 binary64)) |
(* -1 z) |
(neg.f64 z) |
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z)))) |
(*.f64 (+.f64 (-.f64 (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y) z) #s(literal 1 binary64)) (/.f64 x z)) z) |
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z)))) |
(*.f64 (+.f64 (-.f64 (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y) z) #s(literal 1 binary64)) (/.f64 x z)) z) |
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z)))) |
(*.f64 (+.f64 (-.f64 (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y) z) #s(literal 1 binary64)) (/.f64 x z)) z) |
-1 |
#s(literal -1 binary64) |
(- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z))) 1) |
(+.f64 (-.f64 (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y) z) #s(literal 1 binary64)) (/.f64 x z)) |
(- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z))) 1) |
(+.f64 (-.f64 (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y) z) #s(literal 1 binary64)) (/.f64 x z)) |
(- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z))) 1) |
(+.f64 (-.f64 (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y) z) #s(literal 1 binary64)) (/.f64 x z)) |
z |
(* z (+ 1 (/ (* (log y) (+ 1/2 y)) z))) |
(*.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) y) z) (log.f64 y) #s(literal 1 binary64)) z) |
(* z (+ 1 (/ (* (log y) (+ 1/2 y)) z))) |
(*.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) y) z) (log.f64 y) #s(literal 1 binary64)) z) |
(* z (+ 1 (/ (* (log y) (+ 1/2 y)) z))) |
(*.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) y) z) (log.f64 y) #s(literal 1 binary64)) z) |
(* -1 (/ (+ 1/2 y) z)) |
(/.f64 (-.f64 #s(literal -1/2 binary64) y) z) |
(* -1 (/ (+ 1/2 y) z)) |
(/.f64 (-.f64 #s(literal -1/2 binary64) y) z) |
(* -1 (/ (+ 1/2 y) z)) |
(/.f64 (-.f64 #s(literal -1/2 binary64) y) z) |
(* -1 (/ (+ 1/2 y) z)) |
(/.f64 (-.f64 #s(literal -1/2 binary64) y) z) |
(* -1 z) |
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(* 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) |
(/ (- y (+ z (* (log y) (+ 1/2 y)))) x) |
(/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x) |
(/ (- y (+ z (* (log y) (+ 1/2 y)))) x) |
(/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x) |
(/ (- y (+ z (* (log y) (+ 1/2 y)))) x) |
(/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x) |
(/ (- y (+ z (* (log y) (+ 1/2 y)))) x) |
(/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x) |
x |
(* x (+ 1 (/ (* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (/ y z)) 1)) x))) |
(*.f64 (fma.f64 (-.f64 (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y) z) #s(literal 1 binary64)) (/.f64 z x) #s(literal 1 binary64)) x) |
(* x (+ 1 (/ (* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (/ y z)) 1)) x))) |
(*.f64 (fma.f64 (-.f64 (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y) z) #s(literal 1 binary64)) (/.f64 z x) #s(literal 1 binary64)) x) |
(* x (+ 1 (/ (* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (/ y z)) 1)) x))) |
(*.f64 (fma.f64 (-.f64 (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y) z) #s(literal 1 binary64)) (/.f64 z x) #s(literal 1 binary64)) x) |
(/ x z) |
(/.f64 x z) |
(* x (- (+ (/ 1 z) (/ y (* x z))) (/ 1 x))) |
(*.f64 (+.f64 (/.f64 (-.f64 (/.f64 y z) #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) z)) x) |
(* x (- (+ (/ 1 z) (/ y (* x z))) (/ 1 x))) |
(*.f64 (+.f64 (/.f64 (-.f64 (/.f64 y z) #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) z)) x) |
(* x (- (+ (/ 1 z) (/ y (* x z))) (/ 1 x))) |
(*.f64 (+.f64 (/.f64 (-.f64 (/.f64 y z) #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) z)) 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 z) |
(/.f64 x z) |
(* x (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) (* x z))) (+ (/ 1 z) (/ y (* x z)))) (/ 1 x))) |
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y) (*.f64 z x))) (/.f64 #s(literal 1 binary64) x)) x) |
(* x (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) (* x z))) (+ (/ 1 z) (/ y (* x z)))) (/ 1 x))) |
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y) (*.f64 z x))) (/.f64 #s(literal 1 binary64) x)) x) |
(* x (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) (* x z))) (+ (/ 1 z) (/ y (* x z)))) (/ 1 x))) |
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y) (*.f64 z x))) (/.f64 #s(literal 1 binary64) x)) x) |
x |
(* -1 (* x (- (/ (* (log y) (+ 1/2 y)) x) 1))) |
(*.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) y) x) (log.f64 y) #s(literal 1 binary64)) x) |
(* -1 (* x (- (/ (* (log y) (+ 1/2 y)) x) 1))) |
(*.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) y) x) (log.f64 y) #s(literal 1 binary64)) x) |
(* -1 (* x (- (/ (* (log y) (+ 1/2 y)) x) 1))) |
(*.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) y) x) (log.f64 y) #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 (* (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 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x))) |
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x))) |
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x))) |
x |
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x))) |
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x))) |
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x))) |
x |
(* -1 (* x (- (* -1 (/ (- y (* (log y) (+ 1/2 y))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y) x))) |
(* -1 (* x (- (* -1 (/ (- y (* (log y) (+ 1/2 y))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y) x))) |
(* -1 (* x (- (* -1 (/ (- y (* (log y) (+ 1/2 y))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y) x))) |
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))) |
(/ (- y (+ z (* (log y) (+ 1/2 y)))) x) |
(/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x) |
(/ (- y (+ z (* (log y) (+ 1/2 y)))) x) |
(/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x) |
(/ (- y (+ z (* (log y) (+ 1/2 y)))) x) |
(/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x) |
(/ (- y (+ z (* (log y) (+ 1/2 y)))) x) |
(/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x) |
x |
(* -1 (* x (- (* -1 (/ (* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (/ y z)) 1)) x)) 1))) |
(*.f64 (fma.f64 (-.f64 (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y) z) #s(literal 1 binary64)) (/.f64 z x) #s(literal 1 binary64)) x) |
(* -1 (* x (- (* -1 (/ (* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (/ y z)) 1)) x)) 1))) |
(*.f64 (fma.f64 (-.f64 (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y) z) #s(literal 1 binary64)) (/.f64 z x) #s(literal 1 binary64)) x) |
(* -1 (* x (- (* -1 (/ (* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (/ y z)) 1)) x)) 1))) |
(*.f64 (fma.f64 (-.f64 (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y) z) #s(literal 1 binary64)) (/.f64 z x) #s(literal 1 binary64)) x) |
(/ x z) |
(/.f64 x z) |
(* -1 (* x (- (* -1 (/ (- (/ y z) 1) x)) (/ 1 z)))) |
(*.f64 (+.f64 (/.f64 (-.f64 (/.f64 y z) #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) z)) x) |
(* -1 (* x (- (* -1 (/ (- (/ y z) 1) x)) (/ 1 z)))) |
(*.f64 (+.f64 (/.f64 (-.f64 (/.f64 y z) #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) z)) x) |
(* -1 (* x (- (* -1 (/ (- (/ y z) 1) x)) (/ 1 z)))) |
(*.f64 (+.f64 (/.f64 (-.f64 (/.f64 y z) #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) z)) x) |
x |
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x))) |
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x))) |
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x))) |
(/ x z) |
(/.f64 x z) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (/ y z)) 1) x)) (/ 1 z)))) |
(*.f64 (+.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y) z) #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) z)) x) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (/ y z)) 1) x)) (/ 1 z)))) |
(*.f64 (+.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y) z) #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) z)) x) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (/ y z)) 1) x)) (/ 1 z)))) |
(*.f64 (+.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y) z) #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) z)) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 260 |
| 0 | 65 | 260 |
| 1 | 351 | 248 |
| 2 | 3374 | 246 |
| 0 | 8326 | 236 |
| 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) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) z) |
#s(approx (+ (- x (* (+ y 1/2) (log 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)) |
(fma.f64 (/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x) x x) |
#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 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x) |
(-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 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) |
(fma.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 y x) #s(literal -1 binary64)) |
#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)) |
(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))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) y)) |
(log.f64 y) |
(fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z) |
(/.f64 (-.f64 #s(literal -1/2 binary64) y) z) |
| Outputs |
|---|
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Compiled 29 042 to 3 753 computations (87.1% saved)
20 alts after pruning (18 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 291 | 15 | 1 306 |
| Fresh | 5 | 3 | 8 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 299 | 20 | 1 319 |
| Status | Accuracy | Program |
|---|---|---|
| 59.8% | (/.f64 (fma.f64 (fma.f64 y y (*.f64 (neg.f64 z) z)) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x)) (*.f64 (+.f64 y z) #s(literal 1 binary64))) (*.f64 (+.f64 y z) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x)))) | |
| 76.4% | (-.f64 (+.f64 (-.f64 x (/.f64 (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (-.f64 y #s(literal 1/2 binary64)))) y) z) | |
| 84.4% | (-.f64 (+.f64 (-.f64 x (/.f64 (log.f64 y) #s(approx (/ 1 (+ 1/2 y)) (/.f64 #s(literal 1 binary64) y)))) y) z) | |
| ▶ | 66.3% | (-.f64 #s(approx (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z) |
| 57.1% | (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log.f64 y) #s(literal 2 binary64))) y) (+.f64 #s(literal 1 binary64) (log.f64 y)))) z) | |
| ✓ | 57.5% | (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) z) |
| 78.2% | #s(approx (- (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) z) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x))) | |
| 71.6% | #s(approx (- (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) z) (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z))) | |
| 36.2% | #s(approx (- (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) z) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) | |
| ▶ | 85.8% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (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)) |
| 61.9% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 (/.f64 #s(approx (- y (+ (* (+ 1/2 y) (log y)) z)) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) (neg.f64 z))) x) x x)) | |
| 46.7% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 (/.f64 #s(approx (- y (+ (* (+ 1/2 y) (log y)) z)) (neg.f64 z)) x) x x)) | |
| 84.8% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)))) x x)) | |
| 12.5% | #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))) | |
| ▶ | 40.5% | #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) #s(approx (+ (* (/ 1 z) (+ y x)) -1) (/.f64 y z))) z)) |
| 80.1% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (+.f64 #s(literal 1/2 binary64) y)) (log.f64 y) (fma.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 y x) #s(literal -1 binary64))) z)) | |
| 27.2% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 #s(approx (+ (* (/ (- -1/2 y) z) (log y)) (+ (* (/ 1 z) (+ y x)) -1)) (fma.f64 (neg.f64 y) (/.f64 (log.f64 y) z) (/.f64 y z))) z)) | |
| ▶ | 59.2% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 #s(approx (+ (* (/ (- -1/2 y) z) (log y)) (+ (* (/ 1 z) (+ y x)) -1)) (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x)) z)) z)) |
| ▶ | 19.4% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 #s(approx (+ (* (/ (- -1/2 y) z) (log y)) (+ (* (/ 1 z) (+ y x)) -1)) (/.f64 x z)) z)) |
| ✓ | 24.1% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z)) |
Compiled 524 to 416 computations (20.6% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 (-.f64 #s(literal -1/2 binary64) y) z) | |
| cost-diff | 0 | (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) y) z) (log.f64 y) #s(approx (+ (* (/ 1 z) (+ y x)) -1) (/.f64 y z))) | |
| cost-diff | 0 | #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) #s(approx (+ (* (/ 1 z) (+ y x)) -1) (/.f64 y z))) z)) | |
| cost-diff | 704 | (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) y) z) (log.f64 y) #s(approx (+ (* (/ 1 z) (+ y x)) -1) (/.f64 y z))) z) | |
| 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 (+ (* (/ (- -1/2 y) z) (log y)) (+ (* (/ 1 z) (+ y x)) -1)) (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x)) z)) | |
| cost-diff | 0 | (*.f64 #s(approx (+ (* (/ (- -1/2 y) z) (log y)) (+ (* (/ 1 z) (+ y x)) -1)) (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x)) z)) z) | |
| cost-diff | 0 | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 #s(approx (+ (* (/ (- -1/2 y) z) (log y)) (+ (* (/ 1 z) (+ y x)) -1)) (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x)) z)) 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 (/ (log y) (/ 1 (+ 1/2 y)))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) | |
| cost-diff | 0 | (-.f64 #s(approx (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z) | |
| cost-diff | 0 | (/.f64 x z) | |
| cost-diff | 0 | #s(approx (+ (* (/ (- -1/2 y) z) (log y)) (+ (* (/ 1 z) (+ y x)) -1)) (/.f64 x z)) | |
| cost-diff | 0 | (*.f64 #s(approx (+ (* (/ (- -1/2 y) z) (log y)) (+ (* (/ 1 z) (+ y x)) -1)) (/.f64 x z)) z) | |
| cost-diff | 0 | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 #s(approx (+ (* (/ (- -1/2 y) z) (log y)) (+ (* (/ 1 z) (+ y x)) -1)) (/.f64 x z)) z)) | |
| cost-diff | 0 | (neg.f64 (log.f64 y)) | |
| cost-diff | 0 | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (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)) | |
| cost-diff | 128 | (fma.f64 (neg.f64 (log.f64 y)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) y)) (/.f64 (-.f64 x z) y)) | |
| cost-diff | 1600 | (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) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 55 | 472 |
| 0 | 83 | 472 |
| 1 | 154 | 442 |
| 2 | 331 | 442 |
| 3 | 984 | 424 |
| 4 | 2932 | 410 |
| 0 | 8480 | 407 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (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)) |
(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) |
(fma.f64 (neg.f64 (log.f64 y)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) y)) (/.f64 (-.f64 x z) y)) |
(neg.f64 (log.f64 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) |
(/.f64 (-.f64 x z) y) |
(-.f64 x z) |
x |
z |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 #s(approx (+ (* (/ (- -1/2 y) z) (log y)) (+ (* (/ 1 z) (+ y x)) -1)) (/.f64 x z)) z)) |
(*.f64 #s(approx (+ (* (/ (- -1/2 y) z) (log y)) (+ (* (/ 1 z) (+ y x)) -1)) (/.f64 x z)) z) |
#s(approx (+ (* (/ (- -1/2 y) z) (log y)) (+ (* (/ 1 z) (+ y x)) -1)) (/.f64 x z)) |
(/.f64 x z) |
x |
z |
(-.f64 #s(approx (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z) |
#s(approx (+ (- x (/ (log y) (/ 1 (+ 1/2 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 #s(approx (+ (* (/ (- -1/2 y) z) (log y)) (+ (* (/ 1 z) (+ y x)) -1)) (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x)) z)) z)) |
(*.f64 #s(approx (+ (* (/ (- -1/2 y) z) (log y)) (+ (* (/ 1 z) (+ y x)) -1)) (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x)) z)) z) |
#s(approx (+ (* (/ (- -1/2 y) z) (log y)) (+ (* (/ 1 z) (+ y x)) -1)) (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x)) 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 |
#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) #s(approx (+ (* (/ 1 z) (+ y x)) -1) (/.f64 y z))) z)) |
(*.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) y) z) (log.f64 y) #s(approx (+ (* (/ 1 z) (+ y x)) -1) (/.f64 y z))) z) |
(fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) y) z) (log.f64 y) #s(approx (+ (* (/ 1 z) (+ y x)) -1) (/.f64 y z))) |
(/.f64 (-.f64 #s(literal -1/2 binary64) y) z) |
(-.f64 #s(literal -1/2 binary64) y) |
#s(literal -1/2 binary64) |
y |
z |
(log.f64 y) |
#s(approx (+ (* (/ 1 z) (+ y x)) -1) (/.f64 y z)) |
(/.f64 y z) |
| Outputs |
|---|
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (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)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (-.f64 (+.f64 y x) z))) |
(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) |
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (-.f64 (+.f64 y x) z)) |
(fma.f64 (neg.f64 (log.f64 y)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) y)) (/.f64 (-.f64 x z) y)) |
(fma.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) y)) (log.f64 y) (/.f64 (-.f64 x z) y)) |
(neg.f64 (log.f64 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) |
(/.f64 (-.f64 x z) y) |
(-.f64 x z) |
x |
z |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 #s(approx (+ (* (/ (- -1/2 y) z) (log y)) (+ (* (/ 1 z) (+ y x)) -1)) (/.f64 x z)) z)) |
(*.f64 #s(approx (+ (* (/ (- -1/2 y) z) (log y)) (+ (* (/ 1 z) (+ y x)) -1)) (/.f64 x z)) z) |
#s(approx (+ (* (/ (- -1/2 y) z) (log y)) (+ (* (/ 1 z) (+ y x)) -1)) (/.f64 x z)) |
(/.f64 x z) |
x |
z |
(-.f64 #s(approx (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z) |
#s(approx (+ (- x (/ (log y) (/ 1 (+ 1/2 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 #s(approx (+ (* (/ (- -1/2 y) z) (log y)) (+ (* (/ 1 z) (+ y x)) -1)) (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x)) z)) z)) |
(*.f64 #s(approx (+ (* (/ (- -1/2 y) z) (log y)) (+ (* (/ 1 z) (+ y x)) -1)) (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x)) z)) z) |
#s(approx (+ (* (/ (- -1/2 y) z) (log y)) (+ (* (/ 1 z) (+ y x)) -1)) (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x)) 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 |
#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) #s(approx (+ (* (/ 1 z) (+ y x)) -1) (/.f64 y z))) z)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 #s(approx (+ (* (/ 1 z) (+ y x)) -1) (/.f64 y z)) z (*.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y)))) |
(*.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) y) z) (log.f64 y) #s(approx (+ (* (/ 1 z) (+ y x)) -1) (/.f64 y z))) z) |
(fma.f64 #s(approx (+ (* (/ 1 z) (+ y x)) -1) (/.f64 y z)) z (*.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y))) |
(fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) y) z) (log.f64 y) #s(approx (+ (* (/ 1 z) (+ y x)) -1) (/.f64 y z))) |
(fma.f64 (/.f64 (log.f64 y) z) (-.f64 #s(literal -1/2 binary64) y) #s(approx (+ (* (/ 1 z) (+ y x)) -1) (/.f64 y z))) |
(/.f64 (-.f64 #s(literal -1/2 binary64) y) z) |
(-.f64 #s(literal -1/2 binary64) y) |
#s(literal -1/2 binary64) |
y |
z |
(log.f64 y) |
#s(approx (+ (* (/ 1 z) (+ y x)) -1) (/.f64 y z)) |
(/.f64 y z) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.015625 | (/.f64 (-.f64 #s(literal -1/2 binary64) y) z) | |
| accuracy | 5.346010239730912 | (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) y) z) (log.f64 y) #s(approx (+ (* (/ 1 z) (+ y x)) -1) (/.f64 y z))) | |
| accuracy | 12.308683713295506 | (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) y) z) (log.f64 y) #s(approx (+ (* (/ 1 z) (+ y x)) -1) (/.f64 y z))) z) | |
| accuracy | 37.145628510309564 | #s(approx (+ (* (/ 1 z) (+ y x)) -1) (/.f64 y z)) | |
| accuracy | 0.12109375 | (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x)) | |
| accuracy | 0.8498165387859598 | (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x)) z) | |
| accuracy | 12.308683713295506 | (*.f64 #s(approx (+ (* (/ (- -1/2 y) z) (log y)) (+ (* (/ 1 z) (+ y x)) -1)) (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x)) z)) z) | |
| accuracy | 13.771108819680885 | #s(approx (+ (* (/ (- -1/2 y) z) (log y)) (+ (* (/ 1 z) (+ y x)) -1)) (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x)) z)) | |
| accuracy | 0 | (log.f64 y) | |
| accuracy | 0.00390625 | (-.f64 #s(approx (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z) | |
| accuracy | 0.0078125 | (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x) | |
| accuracy | 26.27009909558038 | #s(approx (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) | |
| accuracy | 0 | (/.f64 x z) | |
| accuracy | 0 | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 #s(approx (+ (* (/ (- -1/2 y) z) (log y)) (+ (* (/ 1 z) (+ y x)) -1)) (/.f64 x z)) z)) | |
| accuracy | 12.308683713295506 | (*.f64 #s(approx (+ (* (/ (- -1/2 y) z) (log y)) (+ (* (/ 1 z) (+ y x)) -1)) (/.f64 x z)) z) | |
| accuracy | 44.5032390636485 | #s(approx (+ (* (/ (- -1/2 y) z) (log y)) (+ (* (/ 1 z) (+ y x)) -1)) (/.f64 x z)) | |
| accuracy | 0 | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (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)) | |
| accuracy | 0.01171875 | (/.f64 (-.f64 x z) y) | |
| accuracy | 0.05859375 | (fma.f64 (neg.f64 (log.f64 y)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) y)) (/.f64 (-.f64 x z) y)) | |
| accuracy | 9.07668012974313 | (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) |
| 182.0ms | 256× | 0 | valid |
Compiled 326 to 46 computations (85.9% saved)
ival-add: 94.0ms (58.5% of total)ival-sub: 36.0ms (22.4% of total)ival-div: 14.0ms (8.7% of total)ival-mult: 12.0ms (7.5% of total)ival-log: 4.0ms (2.5% of total)ival-neg: 1.0ms (0.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (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) (patch (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) #<representation binary64>) () ()) |
#s(alt (fma.f64 (neg.f64 (log.f64 y)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) y)) (/.f64 (-.f64 x z) y)) (patch (fma.f64 (neg.f64 (log.f64 y)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) y)) (/.f64 (-.f64 x z) y)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (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)) (patch #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (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)) #<representation binary64>) () ()) |
#s(alt (neg.f64 (log.f64 y)) (patch (neg.f64 (log.f64 y)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 #s(approx (+ (* (/ (- -1/2 y) z) (log y)) (+ (* (/ 1 z) (+ y x)) -1)) (/.f64 x z)) z)) (patch #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 #s(approx (+ (* (/ (- -1/2 y) z) (log y)) (+ (* (/ 1 z) (+ y x)) -1)) (/.f64 x z)) z)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (+ (* (/ (- -1/2 y) z) (log y)) (+ (* (/ 1 z) (+ y x)) -1)) (/.f64 x z)) z) (patch (*.f64 #s(approx (+ (* (/ (- -1/2 y) z) (log y)) (+ (* (/ 1 z) (+ y x)) -1)) (/.f64 x z)) z) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (/ (- -1/2 y) z) (log y)) (+ (* (/ 1 z) (+ y x)) -1)) (/.f64 x z)) (patch #s(approx (+ (* (/ (- -1/2 y) z) (log y)) (+ (* (/ 1 z) (+ y x)) -1)) (/.f64 x z)) #<representation binary64>) () ()) |
#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(approx (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z) (patch (-.f64 #s(approx (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) (patch #s(approx (+ (- x (/ (log y) (/ 1 (+ 1/2 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 #s(approx (+ (* (/ (- -1/2 y) z) (log y)) (+ (* (/ 1 z) (+ y x)) -1)) (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x)) z)) z)) (patch #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 #s(approx (+ (* (/ (- -1/2 y) z) (log y)) (+ (* (/ 1 z) (+ y x)) -1)) (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x)) z)) z)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (+ (* (/ (- -1/2 y) z) (log y)) (+ (* (/ 1 z) (+ y x)) -1)) (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x)) z)) z) (patch (*.f64 #s(approx (+ (* (/ (- -1/2 y) z) (log y)) (+ (* (/ 1 z) (+ y x)) -1)) (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x)) z)) z) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (/ (- -1/2 y) z) (log y)) (+ (* (/ 1 z) (+ y x)) -1)) (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x)) z)) (patch #s(approx (+ (* (/ (- -1/2 y) z) (log y)) (+ (* (/ 1 z) (+ y x)) -1)) (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x)) 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 (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) y) z) (log.f64 y) #s(approx (+ (* (/ 1 z) (+ y x)) -1) (/.f64 y z))) z) (patch (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) y) z) (log.f64 y) #s(approx (+ (* (/ 1 z) (+ y x)) -1) (/.f64 y z))) z) #<representation binary64>) () ()) |
#s(alt #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) #s(approx (+ (* (/ 1 z) (+ y x)) -1) (/.f64 y z))) z)) (patch #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) #s(approx (+ (* (/ 1 z) (+ y x)) -1) (/.f64 y z))) z)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) y) z) (log.f64 y) #s(approx (+ (* (/ 1 z) (+ y x)) -1) (/.f64 y z))) (patch (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) y) z) (log.f64 y) #s(approx (+ (* (/ 1 z) (+ y x)) -1) (/.f64 y z))) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 #s(literal -1/2 binary64) y) z) (patch (/.f64 (-.f64 #s(literal -1/2 binary64) y) z) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 x z) y) (patch (/.f64 (-.f64 x z) y) #<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 #s(approx (+ (* (/ 1 z) (+ y x)) -1) (/.f64 y z)) (patch #s(approx (+ (* (/ 1 z) (+ y x)) -1) (/.f64 y z)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (+ y (* y (+ (* -1 (* (log y) (+ 1 (* 1/2 (/ 1 y))))) (/ x y)))) (taylor 0 z) (#s(alt (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) (patch (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) #<representation binary64>) () ())) ()) |
#s(alt (+ y (+ (* -1 z) (* y (+ (* -1 (* (log y) (+ 1 (* 1/2 (/ 1 y))))) (/ x y))))) (taylor 0 z) (#s(alt (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) (patch (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) #<representation binary64>) () ())) ()) |
#s(alt (+ y (+ (* -1 z) (* y (+ (* -1 (* (log y) (+ 1 (* 1/2 (/ 1 y))))) (/ x y))))) (taylor 0 z) (#s(alt (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) (patch (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) #<representation binary64>) () ())) ()) |
#s(alt (+ y (+ (* -1 z) (* y (+ (* -1 (* (log y) (+ 1 (* 1/2 (/ 1 y))))) (/ x y))))) (taylor 0 z) (#s(alt (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) (patch (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) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* (log y) (+ 1 (* 1/2 (/ 1 y))))) (/ x y)) (taylor 0 z) (#s(alt (fma.f64 (neg.f64 (log.f64 y)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) y)) (/.f64 (-.f64 x z) y)) (patch (fma.f64 (neg.f64 (log.f64 y)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) y)) (/.f64 (-.f64 x z) y)) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* x (- (* -1 (/ (+ y (* -1 (* (log y) (+ 1/2 y)))) x)) 1))) (taylor -inf x) (#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 (/ x z) (taylor -inf x) (#s(alt #s(approx (+ (* (/ 1 z) (+ y x)) -1) (/.f64 y z)) (patch #s(approx (+ (* (/ 1 z) (+ y x)) -1) (/.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- (/ y z) 1) x)) (/ 1 z)))) (taylor -inf x) (#s(alt #s(approx (+ (* (/ 1 z) (+ y x)) -1) (/.f64 y z)) (patch #s(approx (+ (* (/ 1 z) (+ y x)) -1) (/.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- (/ y z) 1) x)) (/ 1 z)))) (taylor -inf x) (#s(alt #s(approx (+ (* (/ 1 z) (+ y x)) -1) (/.f64 y z)) (patch #s(approx (+ (* (/ 1 z) (+ y x)) -1) (/.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- (/ y z) 1) x)) (/ 1 z)))) (taylor -inf x) (#s(alt #s(approx (+ (* (/ 1 z) (+ y x)) -1) (/.f64 y z)) (patch #s(approx (+ (* (/ 1 z) (+ y x)) -1) (/.f64 y z)) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 30.0ms | z | @ | inf | ((+ (* (+ (* (neg (log y)) (- 1 (/ -1/2 y))) (/ (- x z) y)) y) y) (+ (* (neg (log y)) (- 1 (/ -1/2 y))) (/ (- x z) y)) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg (log y)) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (* (+ (* (/ (- -1/2 y) z) (log y)) (+ (* (/ 1 z) (+ y x)) -1)) z) (+ (* (/ (- -1/2 y) z) (log y)) (+ (* (/ 1 z) (+ y x)) -1)) (/ x z) (- (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) z) (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) (+ (* -1/2 (log y)) x) (log y) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (* (+ (* (/ (- -1/2 y) z) (log y)) (+ (* (/ 1 z) (+ y x)) -1)) z) (+ (* (/ (- -1/2 y) z) (log y)) (+ (* (/ 1 z) (+ y x)) -1)) (/ (+ (* (- -1/2 y) (log y)) (+ y x)) z) (* (+ (* (/ (- -1/2 y) z) (log y)) (+ (* (/ 1 z) (+ y x)) -1)) z) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+ (* (/ (- -1/2 y) z) (log y)) (+ (* (/ 1 z) (+ y x)) -1)) (/ (- -1/2 y) z) (/ (- x z) y) (+ (* (- -1/2 y) (log y)) (+ y x)) (+ (* (/ 1 z) (+ y x)) -1)) |
| 23.0ms | y | @ | inf | ((+ (* (+ (* (neg (log y)) (- 1 (/ -1/2 y))) (/ (- x z) y)) y) y) (+ (* (neg (log y)) (- 1 (/ -1/2 y))) (/ (- x z) y)) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg (log y)) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (* (+ (* (/ (- -1/2 y) z) (log y)) (+ (* (/ 1 z) (+ y x)) -1)) z) (+ (* (/ (- -1/2 y) z) (log y)) (+ (* (/ 1 z) (+ y x)) -1)) (/ x z) (- (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) z) (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) (+ (* -1/2 (log y)) x) (log y) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (* (+ (* (/ (- -1/2 y) z) (log y)) (+ (* (/ 1 z) (+ y x)) -1)) z) (+ (* (/ (- -1/2 y) z) (log y)) (+ (* (/ 1 z) (+ y x)) -1)) (/ (+ (* (- -1/2 y) (log y)) (+ y x)) z) (* (+ (* (/ (- -1/2 y) z) (log y)) (+ (* (/ 1 z) (+ y x)) -1)) z) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+ (* (/ (- -1/2 y) z) (log y)) (+ (* (/ 1 z) (+ y x)) -1)) (/ (- -1/2 y) z) (/ (- x z) y) (+ (* (- -1/2 y) (log y)) (+ y x)) (+ (* (/ 1 z) (+ y x)) -1)) |
| 12.0ms | z | @ | -inf | ((+ (* (+ (* (neg (log y)) (- 1 (/ -1/2 y))) (/ (- x z) y)) y) y) (+ (* (neg (log y)) (- 1 (/ -1/2 y))) (/ (- x z) y)) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg (log y)) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (* (+ (* (/ (- -1/2 y) z) (log y)) (+ (* (/ 1 z) (+ y x)) -1)) z) (+ (* (/ (- -1/2 y) z) (log y)) (+ (* (/ 1 z) (+ y x)) -1)) (/ x z) (- (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) z) (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) (+ (* -1/2 (log y)) x) (log y) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (* (+ (* (/ (- -1/2 y) z) (log y)) (+ (* (/ 1 z) (+ y x)) -1)) z) (+ (* (/ (- -1/2 y) z) (log y)) (+ (* (/ 1 z) (+ y x)) -1)) (/ (+ (* (- -1/2 y) (log y)) (+ y x)) z) (* (+ (* (/ (- -1/2 y) z) (log y)) (+ (* (/ 1 z) (+ y x)) -1)) z) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+ (* (/ (- -1/2 y) z) (log y)) (+ (* (/ 1 z) (+ y x)) -1)) (/ (- -1/2 y) z) (/ (- x z) y) (+ (* (- -1/2 y) (log y)) (+ y x)) (+ (* (/ 1 z) (+ y x)) -1)) |
| 10.0ms | y | @ | -inf | ((+ (* (+ (* (neg (log y)) (- 1 (/ -1/2 y))) (/ (- x z) y)) y) y) (+ (* (neg (log y)) (- 1 (/ -1/2 y))) (/ (- x z) y)) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg (log y)) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (* (+ (* (/ (- -1/2 y) z) (log y)) (+ (* (/ 1 z) (+ y x)) -1)) z) (+ (* (/ (- -1/2 y) z) (log y)) (+ (* (/ 1 z) (+ y x)) -1)) (/ x z) (- (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) z) (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) (+ (* -1/2 (log y)) x) (log y) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (* (+ (* (/ (- -1/2 y) z) (log y)) (+ (* (/ 1 z) (+ y x)) -1)) z) (+ (* (/ (- -1/2 y) z) (log y)) (+ (* (/ 1 z) (+ y x)) -1)) (/ (+ (* (- -1/2 y) (log y)) (+ y x)) z) (* (+ (* (/ (- -1/2 y) z) (log y)) (+ (* (/ 1 z) (+ y x)) -1)) z) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+ (* (/ (- -1/2 y) z) (log y)) (+ (* (/ 1 z) (+ y x)) -1)) (/ (- -1/2 y) z) (/ (- x z) y) (+ (* (- -1/2 y) (log y)) (+ y x)) (+ (* (/ 1 z) (+ y x)) -1)) |
| 10.0ms | z | @ | 0 | ((+ (* (+ (* (neg (log y)) (- 1 (/ -1/2 y))) (/ (- x z) y)) y) y) (+ (* (neg (log y)) (- 1 (/ -1/2 y))) (/ (- x z) y)) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg (log y)) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (* (+ (* (/ (- -1/2 y) z) (log y)) (+ (* (/ 1 z) (+ y x)) -1)) z) (+ (* (/ (- -1/2 y) z) (log y)) (+ (* (/ 1 z) (+ y x)) -1)) (/ x z) (- (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) z) (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) (+ (* -1/2 (log y)) x) (log y) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (* (+ (* (/ (- -1/2 y) z) (log y)) (+ (* (/ 1 z) (+ y x)) -1)) z) (+ (* (/ (- -1/2 y) z) (log y)) (+ (* (/ 1 z) (+ y x)) -1)) (/ (+ (* (- -1/2 y) (log y)) (+ y x)) z) (* (+ (* (/ (- -1/2 y) z) (log y)) (+ (* (/ 1 z) (+ y x)) -1)) z) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+ (* (/ (- -1/2 y) z) (log y)) (+ (* (/ 1 z) (+ y x)) -1)) (/ (- -1/2 y) z) (/ (- x z) y) (+ (* (- -1/2 y) (log y)) (+ y x)) (+ (* (/ 1 z) (+ y x)) -1)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 404 | 10929 |
| 1 | 1276 | 9910 |
| 2 | 4029 | 9345 |
| 0 | 8184 | 8798 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
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(* -1 (* y (* z (- (+ (* -1 (/ (log (/ -1 y)) z)) (/ (log -1) z)) (/ 1 z))))) |
(* -1 (* y (+ (* -1 (/ (* z (- (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) z)) (/ x z)) 1)) y)) (* z (- (+ (* -1 (/ (log (/ -1 y)) z)) (/ (log -1) z)) (/ 1 z)))))) |
(* -1 (* y (+ (* -1 (/ (* z (- (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) z)) (/ x z)) 1)) y)) (* z (- (+ (* -1 (/ (log (/ -1 y)) z)) (/ (log -1) z)) (/ 1 z)))))) |
(* -1 (* y (+ (* -1 (/ (* z (- (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) z)) (/ x z)) 1)) y)) (* z (- (+ (* -1 (/ (log (/ -1 y)) z)) (/ (log -1) z)) (/ 1 z)))))) |
(* 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))))))))) |
(* -1 (* y (- (+ (* -1 (/ (log (/ -1 y)) z)) (/ (log -1) z)) (/ 1 z)))) |
(* -1 (* y (- (+ (* -1 (/ (log (/ -1 y)) z)) (+ (* -1 (/ (- (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) z)) (/ x z)) 1) y)) (/ (log -1) z))) (/ 1 z)))) |
(* -1 (* y (- (+ (* -1 (/ (log (/ -1 y)) z)) (+ (* -1 (/ (- (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) z)) (/ x z)) 1) y)) (/ (log -1) z))) (/ 1 z)))) |
(* -1 (* y (- (+ (* -1 (/ (log (/ -1 y)) z)) (+ (* -1 (/ (- (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) z)) (/ x z)) 1) y)) (/ (log -1) z))) (/ 1 z)))) |
(* -1 (/ y z)) |
(* -1 (* y (+ (/ 1 z) (* 1/2 (/ 1 (* y z)))))) |
(* -1 (* y (+ (/ 1 z) (* 1/2 (/ 1 (* y z)))))) |
(* -1 (* y (+ (/ 1 z) (* 1/2 (/ 1 (* y z)))))) |
(/ (- x z) y) |
(/ (- x z) y) |
(/ (- x z) y) |
(/ (- x z) y) |
(* -1 (* y (- (+ (log -1) (* -1 (log (/ -1 y)))) 1))) |
(* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)))) 1))) |
(* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)))) 1))) |
(* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)))) 1))) |
(/ y z) |
(* -1 (* y (- (* -1 (/ (- (/ x z) 1) y)) (/ 1 z)))) |
(* -1 (* y (- (* -1 (/ (- (/ x z) 1) y)) (/ 1 z)))) |
(* -1 (* y (- (* -1 (/ (- (/ x z) 1) y)) (/ 1 z)))) |
(+ y (* y (- (* -1 (* (log y) (+ 1 (* 1/2 (/ 1 y))))) (/ z y)))) |
(+ x (+ y (* y (- (* -1 (* (log y) (+ 1 (* 1/2 (/ 1 y))))) (/ z y))))) |
(+ x (+ y (* y (- (* -1 (* (log y) (+ 1 (* 1/2 (/ 1 y))))) (/ z y))))) |
(+ x (+ y (* y (- (* -1 (* (log y) (+ 1 (* 1/2 (/ 1 y))))) (/ z y))))) |
(- (* -1 (* (log y) (+ 1 (* 1/2 (/ 1 y))))) (/ z y)) |
(- (+ (* -1 (* (log y) (+ 1 (* 1/2 (/ 1 y))))) (/ x y)) (/ z y)) |
(- (+ (* -1 (* (log y) (+ 1 (* 1/2 (/ 1 y))))) (/ x y)) (/ z y)) |
(- (+ (* -1 (* (log y) (+ 1 (* 1/2 (/ 1 y))))) (/ x y)) (/ z y)) |
(- y (+ z (* (log y) (+ 1/2 y)))) |
(- (+ x y) (+ z (* (log y) (+ 1/2 y)))) |
(- (+ x y) (+ z (* (log y) (+ 1/2 y)))) |
(- (+ x y) (+ z (* (log y) (+ 1/2 y)))) |
(- y (+ z (* (log y) (+ 1/2 y)))) |
(- (+ x y) (+ z (* (log y) (+ 1/2 y)))) |
(- (+ x y) (+ z (* (log y) (+ 1/2 y)))) |
(- (+ x y) (+ z (* (log y) (+ 1/2 y)))) |
(* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (/ y z)) 1)) |
(+ x (* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (/ y z)) 1))) |
(+ x (* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (/ y z)) 1))) |
(+ x (* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (/ y z)) 1))) |
(- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (/ y z)) 1) |
(- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z))) 1) |
(- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z))) 1) |
(- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z))) 1) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x 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 (* (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)))) |
(* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (/ y z)) 1)) |
(+ x (* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (/ y z)) 1))) |
(+ x (* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (/ y z)) 1))) |
(+ x (* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (/ y z)) 1))) |
(- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (/ y z)) 1) |
(- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z))) 1) |
(- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z))) 1) |
(- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z))) 1) |
(/ (+ y (* -1 (* (log y) (+ 1/2 y)))) z) |
(+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z))) |
(+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z))) |
(+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z))) |
(* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (/ y z)) 1)) |
(+ x (* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (/ y z)) 1))) |
(+ x (* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (/ y z)) 1))) |
(+ x (* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (/ y z)) 1))) |
(- y (+ z (* (log y) (+ 1/2 y)))) |
(- (+ x y) (+ z (* (log y) (+ 1/2 y)))) |
(- (+ x y) (+ z (* (log y) (+ 1/2 y)))) |
(- (+ x y) (+ z (* (log y) (+ 1/2 y)))) |
(- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (/ y z)) 1) |
(- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z))) 1) |
(- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z))) 1) |
(- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z))) 1) |
(* -1 (/ z y)) |
(+ (* -1 (/ z y)) (/ x y)) |
(+ (* -1 (/ z y)) (/ x y)) |
(+ (* -1 (/ z y)) (/ x y)) |
(+ y (* -1 (* (log y) (+ 1/2 y)))) |
(+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) |
(+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) |
(+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) |
(- (/ y z) 1) |
(- (+ (/ x z) (/ y z)) 1) |
(- (+ (/ x z) (/ y z)) 1) |
(- (+ (/ x z) (/ y z)) 1) |
x |
(* x (+ 1 (+ (/ y x) (/ (* y (- (* -1 (* (log y) (+ 1 (* 1/2 (/ 1 y))))) (/ z y))) x)))) |
(* x (+ 1 (+ (/ y x) (/ (* y (- (* -1 (* (log y) (+ 1 (* 1/2 (/ 1 y))))) (/ z y))) x)))) |
(* x (+ 1 (+ (/ y x) (/ (* y (- (* -1 (* (log y) (+ 1 (* 1/2 (/ 1 y))))) (/ z y))) x)))) |
(/ x y) |
(* x (- (+ (* -1 (/ (* (log y) (+ 1 (* 1/2 (/ 1 y)))) x)) (/ 1 y)) (/ z (* x y)))) |
(* x (- (+ (* -1 (/ (* (log y) (+ 1 (* 1/2 (/ 1 y)))) x)) (/ 1 y)) (/ z (* x y)))) |
(* x (- (+ (* -1 (/ (* (log y) (+ 1 (* 1/2 (/ 1 y)))) x)) (/ 1 y)) (/ z (* x y)))) |
x |
(* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x)))) |
(* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x)))) |
(* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x)))) |
x |
(* 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 (/ (* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (/ y z)) 1)) x))) |
(* x (+ 1 (/ (* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (/ y z)) 1)) x))) |
(* x (+ 1 (/ (* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (/ y z)) 1)) x))) |
(/ x z) |
(* x (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) (* x z))) (+ (/ 1 z) (/ y (* x z)))) (/ 1 x))) |
(* x (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) (* x z))) (+ (/ 1 z) (/ y (* x z)))) (/ 1 x))) |
(* x (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) (* x z))) (+ (/ 1 z) (/ y (* x z)))) (/ 1 x))) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
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 (/ (* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (/ y z)) 1)) x))) |
(* x (+ 1 (/ (* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (/ y z)) 1)) x))) |
(* x (+ 1 (/ (* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (/ y z)) 1)) x))) |
(/ x z) |
(* x (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) (* x z))) (+ (/ 1 z) (/ y (* x z)))) (/ 1 x))) |
(* x (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) (* x z))) (+ (/ 1 z) (/ y (* x z)))) (/ 1 x))) |
(* x (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) (* x z))) (+ (/ 1 z) (/ y (* x z)))) (/ 1 x))) |
(/ x z) |
(* x (+ (* -1 (/ (* (log y) (+ 1/2 y)) (* x z))) (+ (/ 1 z) (/ y (* x z))))) |
(* x (+ (* -1 (/ (* (log y) (+ 1/2 y)) (* x z))) (+ (/ 1 z) (/ y (* x z))))) |
(* x (+ (* -1 (/ (* (log y) (+ 1/2 y)) (* x z))) (+ (/ 1 z) (/ y (* x z))))) |
x |
(* x (+ 1 (/ (* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (/ y z)) 1)) x))) |
(* x (+ 1 (/ (* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (/ y z)) 1)) x))) |
(* x (+ 1 (/ (* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (/ y z)) 1)) 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 z) |
(* x (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) (* x z))) (+ (/ 1 z) (/ y (* x z)))) (/ 1 x))) |
(* x (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) (* x z))) (+ (/ 1 z) (/ y (* x z)))) (/ 1 x))) |
(* x (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) (* x z))) (+ (/ 1 z) (/ y (* x z)))) (/ 1 x))) |
(/ x y) |
(* x (+ (* -1 (/ z (* x y))) (/ 1 y))) |
(* x (+ (* -1 (/ z (* x y))) (/ 1 y))) |
(* x (+ (* -1 (/ z (* x y))) (/ 1 y))) |
x |
(* x (+ 1 (+ (* -1 (/ (* (log y) (+ 1/2 y)) x)) (/ y x)))) |
(* x (+ 1 (+ (* -1 (/ (* (log y) (+ 1/2 y)) x)) (/ y x)))) |
(* x (+ 1 (+ (* -1 (/ (* (log y) (+ 1/2 y)) x)) (/ y x)))) |
(/ x z) |
(* x (- (+ (/ 1 z) (/ y (* x z))) (/ 1 x))) |
(* x (- (+ (/ 1 z) (/ y (* x z))) (/ 1 x))) |
(* x (- (+ (/ 1 z) (/ y (* x z))) (/ 1 x))) |
x |
(* -1 (* x (- (* -1 (/ (+ y (* y (+ (* -1 (* (log y) (+ 1 (* 1/2 (/ 1 y))))) (* -1 (/ z y))))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ y (* y (+ (* -1 (* (log y) (+ 1 (* 1/2 (/ 1 y))))) (* -1 (/ z y))))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ y (* y (+ (* -1 (* (log y) (+ 1 (* 1/2 (/ 1 y))))) (* -1 (/ z y))))) x)) 1))) |
(/ x y) |
(* -1 (* x (- (* -1 (/ (+ (* -1 (* (log y) (+ 1 (* 1/2 (/ 1 y))))) (* -1 (/ z y))) x)) (/ 1 y)))) |
(* -1 (* x (- (* -1 (/ (+ (* -1 (* (log y) (+ 1 (* 1/2 (/ 1 y))))) (* -1 (/ z y))) x)) (/ 1 y)))) |
(* -1 (* x (- (* -1 (/ (+ (* -1 (* (log y) (+ 1 (* 1/2 (/ 1 y))))) (* -1 (/ z y))) x)) (/ 1 y)))) |
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 (/ (* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (/ y z)) 1)) x)) 1))) |
(* -1 (* x (- (* -1 (/ (* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (/ y z)) 1)) x)) 1))) |
(* -1 (* x (- (* -1 (/ (* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (/ y z)) 1)) x)) 1))) |
(/ x z) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (/ y z)) 1) x)) (/ 1 z)))) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (/ y z)) 1) x)) (/ 1 z)))) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (/ y z)) 1) x)) (/ 1 z)))) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
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 (/ (* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (/ y z)) 1)) x)) 1))) |
(* -1 (* x (- (* -1 (/ (* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (/ y z)) 1)) x)) 1))) |
(* -1 (* x (- (* -1 (/ (* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (/ y z)) 1)) x)) 1))) |
(/ x z) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (/ y z)) 1) x)) (/ 1 z)))) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (/ y z)) 1) x)) (/ 1 z)))) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (/ y z)) 1) x)) (/ 1 z)))) |
(/ x z) |
(* -1 (* x (- (* -1 (/ (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (/ y z)) x)) (/ 1 z)))) |
(* -1 (* x (- (* -1 (/ (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (/ y z)) x)) (/ 1 z)))) |
(* -1 (* x (- (* -1 (/ (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (/ y z)) x)) (/ 1 z)))) |
x |
(* -1 (* x (- (* -1 (/ (* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (/ y z)) 1)) x)) 1))) |
(* -1 (* x (- (* -1 (/ (* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (/ y z)) 1)) x)) 1))) |
(* -1 (* x (- (* -1 (/ (* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (/ y z)) 1)) 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 z) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (/ y z)) 1) x)) (/ 1 z)))) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (/ y z)) 1) x)) (/ 1 z)))) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (/ y z)) 1) x)) (/ 1 z)))) |
(/ x y) |
(* -1 (* x (- (/ z (* x y)) (/ 1 y)))) |
(* -1 (* x (- (/ z (* x y)) (/ 1 y)))) |
(* -1 (* x (- (/ z (* x y)) (/ 1 y)))) |
x |
(* -1 (* x (- (* -1 (/ (+ y (* -1 (* (log y) (+ 1/2 y)))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ y (* -1 (* (log y) (+ 1/2 y)))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ y (* -1 (* (log y) (+ 1/2 y)))) x)) 1))) |
(/ x z) |
(* -1 (* x (- (* -1 (/ (- (/ y z) 1) x)) (/ 1 z)))) |
(* -1 (* x (- (* -1 (/ (- (/ y z) 1) x)) (/ 1 z)))) |
(* -1 (* x (- (* -1 (/ (- (/ y z) 1) x)) (/ 1 z)))) |
| Outputs |
|---|
(+ y (* y (+ (* -1 (* (log y) (+ 1 (* 1/2 (/ 1 y))))) (/ x y)))) |
(fma.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x) y) (log.f64 y)) y y) |
(+ y (+ (* -1 z) (* y (+ (* -1 (* (log y) (+ 1 (* 1/2 (/ 1 y))))) (/ x y))))) |
(fma.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x) y) (log.f64 y)) y (-.f64 y z)) |
(+ y (+ (* -1 z) (* y (+ (* -1 (* (log y) (+ 1 (* 1/2 (/ 1 y))))) (/ x y))))) |
(fma.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x) y) (log.f64 y)) y (-.f64 y z)) |
(+ y (+ (* -1 z) (* y (+ (* -1 (* (log y) (+ 1 (* 1/2 (/ 1 y))))) (/ x y))))) |
(fma.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x) y) (log.f64 y)) y (-.f64 y z)) |
(+ (* -1 (* (log y) (+ 1 (* 1/2 (/ 1 y))))) (/ x y)) |
(-.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x) y) (log.f64 y)) |
(+ (* -1 (* (log y) (+ 1 (* 1/2 (/ 1 y))))) (+ (* -1 (/ z y)) (/ x y))) |
(-.f64 (/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x) z) y) (log.f64 y)) |
(+ (* -1 (* (log y) (+ 1 (* 1/2 (/ 1 y))))) (+ (* -1 (/ z y)) (/ x y))) |
(-.f64 (/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x) z) y) (log.f64 y)) |
(+ (* -1 (* (log y) (+ 1 (* 1/2 (/ 1 y))))) (+ (* -1 (/ z y)) (/ x y))) |
(-.f64 (/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x) z) y) (log.f64 y)) |
(- (+ x y) (* (log y) (+ 1/2 y))) |
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(*.f64 (neg.f64 x) (fma.f64 (-.f64 (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y) z) #s(literal 1 binary64)) (/.f64 (neg.f64 z) x) #s(literal -1 binary64))) |
(* -1 (* x (- (* -1 (/ (* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (/ y z)) 1)) x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (-.f64 (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y) z) #s(literal 1 binary64)) (/.f64 (neg.f64 z) x) #s(literal -1 binary64))) |
(* -1 (* x (- (* -1 (/ (* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (/ y z)) 1)) x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (-.f64 (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y) z) #s(literal 1 binary64)) (/.f64 (neg.f64 z) x) #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 (-.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 z) |
(/.f64 x z) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (/ y z)) 1) x)) (/ 1 z)))) |
(*.f64 (+.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y) z) #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) z)) x) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (/ y z)) 1) x)) (/ 1 z)))) |
(*.f64 (+.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y) z) #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) z)) x) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (/ y z)) 1) x)) (/ 1 z)))) |
(*.f64 (+.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y) z) #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) z)) x) |
(/ x y) |
(/.f64 x y) |
(* -1 (* x (- (/ z (* x y)) (/ 1 y)))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (/.f64 z y) x) (/.f64 #s(literal 1 binary64) y))) |
(* -1 (* x (- (/ z (* x y)) (/ 1 y)))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (/.f64 z y) x) (/.f64 #s(literal 1 binary64) y))) |
(* -1 (* x (- (/ z (* x y)) (/ 1 y)))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (/.f64 z y) x) (/.f64 #s(literal 1 binary64) y))) |
x |
(* -1 (* x (- (* -1 (/ (+ y (* -1 (* (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 (* -1 (* (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 (* -1 (* (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 z) |
(/.f64 x z) |
(* -1 (* x (- (* -1 (/ (- (/ y z) 1) x)) (/ 1 z)))) |
(*.f64 (+.f64 (/.f64 (-.f64 (/.f64 y z) #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) z)) x) |
(* -1 (* x (- (* -1 (/ (- (/ y z) 1) x)) (/ 1 z)))) |
(*.f64 (+.f64 (/.f64 (-.f64 (/.f64 y z) #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) z)) x) |
(* -1 (* x (- (* -1 (/ (- (/ y z) 1) x)) (/ 1 z)))) |
(*.f64 (+.f64 (/.f64 (-.f64 (/.f64 y z) #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) z)) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 55 | 425 |
| 0 | 83 | 425 |
| 1 | 403 | 395 |
| 2 | 3801 | 395 |
| 0 | 8989 | 389 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(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) |
(fma.f64 (neg.f64 (log.f64 y)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) y)) (/.f64 (-.f64 x z) y)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (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)) |
(neg.f64 (log.f64 y)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 #s(approx (+ (* (/ (- -1/2 y) z) (log y)) (+ (* (/ 1 z) (+ y x)) -1)) (/.f64 x z)) z)) |
(*.f64 #s(approx (+ (* (/ (- -1/2 y) z) (log y)) (+ (* (/ 1 z) (+ y x)) -1)) (/.f64 x z)) z) |
#s(approx (+ (* (/ (- -1/2 y) z) (log y)) (+ (* (/ 1 z) (+ y x)) -1)) (/.f64 x z)) |
(/.f64 x z) |
(-.f64 #s(approx (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z) |
#s(approx (+ (- x (/ (log y) (/ 1 (+ 1/2 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 #s(approx (+ (* (/ (- -1/2 y) z) (log y)) (+ (* (/ 1 z) (+ y x)) -1)) (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x)) z)) z)) |
(*.f64 #s(approx (+ (* (/ (- -1/2 y) z) (log y)) (+ (* (/ 1 z) (+ y x)) -1)) (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x)) z)) z) |
#s(approx (+ (* (/ (- -1/2 y) z) (log y)) (+ (* (/ 1 z) (+ y x)) -1)) (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x)) z)) |
(/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x)) z) |
(*.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) y) z) (log.f64 y) #s(approx (+ (* (/ 1 z) (+ y x)) -1) (/.f64 y z))) 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) #s(approx (+ (* (/ 1 z) (+ y x)) -1) (/.f64 y z))) z)) |
(fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) y) z) (log.f64 y) #s(approx (+ (* (/ 1 z) (+ y x)) -1) (/.f64 y z))) |
(/.f64 (-.f64 #s(literal -1/2 binary64) y) z) |
(/.f64 (-.f64 x z) y) |
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x)) |
#s(approx (+ (* (/ 1 z) (+ y x)) -1) (/.f64 y z)) |
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Compiled 24 648 to 2 664 computations (89.2% saved)
24 alts after pruning (20 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 169 | 11 | 1 180 |
| Fresh | 4 | 9 | 13 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 2 | 2 |
| Total | 1 176 | 24 | 1 200 |
| Status | Accuracy | Program |
|---|---|---|
| 76.4% | (-.f64 (+.f64 (-.f64 x (/.f64 (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (-.f64 y #s(literal 1/2 binary64)))) y) z) | |
| 84.4% | (-.f64 (+.f64 (-.f64 x (/.f64 (log.f64 y) #s(approx (/ 1 (+ 1/2 y)) (/.f64 #s(literal 1 binary64) y)))) y) z) | |
| ✓ | 66.3% | (-.f64 #s(approx (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z) |
| 65.9% | (-.f64 #s(approx (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) #s(approx (+ (* -1/2 (log y)) x) (fma.f64 (*.f64 (/.f64 (log.f64 y) x) #s(literal -1/2 binary64)) x x))) z) | |
| 38.4% | (-.f64 #s(approx (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) #s(approx (+ (* -1/2 (log y)) x) (*.f64 #s(literal -1/2 binary64) (log.f64 y)))) z) | |
| 57.1% | (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log.f64 y) #s(literal 2 binary64))) y) (+.f64 #s(literal 1 binary64) (log.f64 y)))) z) | |
| ✓ | 57.5% | (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) z) |
| 78.2% | #s(approx (- (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) z) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x))) | |
| ▶ | 71.6% | #s(approx (- (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) z) (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z))) |
| 36.2% | #s(approx (- (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) z) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) | |
| 46.7% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 (/.f64 #s(approx (- y (+ (* (+ 1/2 y) (log y)) z)) (neg.f64 z)) x) x x)) | |
| ▶ | 84.8% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)))) x x)) |
| ▶ | 50.9% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 #s(approx (+ (* (neg (log y)) (- 1 (/ -1/2 y))) (/ (- x z) y)) (/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x) z) y)) y y)) |
| 18.8% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 #s(approx (+ (* (neg (log y)) (- 1 (/ -1/2 y))) (/ (- x z) y)) (/.f64 (neg.f64 z) y)) y y)) | |
| ▶ | 20.3% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 #s(approx (+ (* (neg (log y)) (- 1 (/ -1/2 y))) (/ (- x z) y)) (/.f64 x y)) y y)) |
| 12.5% | #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))) | |
| 40.5% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (fma.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1 binary64) z)) (log.f64 y) #s(approx (+ (* (/ 1 z) (+ y x)) -1) (/.f64 y z))) z)) | |
| 27.2% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (fma.f64 #s(approx (/ (- -1/2 y) z) (/.f64 (neg.f64 y) z)) (log.f64 y) #s(approx (+ (* (/ 1 z) (+ y x)) -1) (/.f64 y z))) z)) | |
| 27.8% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 #s(approx (+ (* (/ (- -1/2 y) z) (log y)) (+ (* (/ 1 z) (+ y x)) -1)) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y) z)) z)) | |
| ✓ | 19.4% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 #s(approx (+ (* (/ (- -1/2 y) z) (log y)) (+ (* (/ 1 z) (+ y x)) -1)) (/.f64 x z)) z)) |
| 19.4% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 #s(approx (+ (* (/ (- -1/2 y) z) (log y)) (+ (* (/ 1 z) (+ y x)) -1)) (/.f64 #s(literal 1 binary64) (/.f64 z x))) z)) | |
| ▶ | 19.4% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 #s(approx (+ (* (/ (- -1/2 y) z) (log y)) (+ (* (/ 1 z) (+ y x)) -1)) (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) z))) z)) |
| ✓ | 24.1% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z)) |
| 63.2% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (* (+ (* (/ (- -1/2 y) z) (log y)) (+ (* (/ 1 z) (+ y x)) -1)) z) (*.f64 (*.f64 z y) (+.f64 (/.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x) z) #s(literal 1 binary64)) y) (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) z))))) |
Compiled 523 to 453 computations (13.4% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x) z) y) | |
| cost-diff | 0 | #s(approx (+ (* (neg (log y)) (- 1 (/ -1/2 y))) (/ (- x z) y)) (/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x) z) y)) | |
| cost-diff | 0 | (fma.f64 #s(approx (+ (* (neg (log y)) (- 1 (/ -1/2 y))) (/ (- x z) y)) (/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x) z) y)) y y) | |
| cost-diff | 0 | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 #s(approx (+ (* (neg (log y)) (- 1 (/ -1/2 y))) (/ (- x z) y)) (/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x) z) y)) y y)) | |
| cost-diff | 0 | (+.f64 #s(literal 1/2 binary64) y) | |
| cost-diff | 0 | (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z) | |
| cost-diff | 0 | (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) | |
| cost-diff | 0 | #s(approx (- (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) z) (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z))) | |
| cost-diff | 0 | #s(approx (+ (* (/ (- -1/2 y) z) (log y)) (+ (* (/ 1 z) (+ y x)) -1)) (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) z))) | |
| cost-diff | 0 | (*.f64 #s(approx (+ (* (/ (- -1/2 y) z) (log y)) (+ (* (/ 1 z) (+ y x)) -1)) (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) z))) z) | |
| cost-diff | 0 | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 #s(approx (+ (* (/ (- -1/2 y) z) (log y)) (+ (* (/ 1 z) (+ y x)) -1)) (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) z))) z)) | |
| cost-diff | 448 | (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) z)) | |
| cost-diff | 0 | (/.f64 x y) | |
| cost-diff | 0 | #s(approx (+ (* (neg (log y)) (- 1 (/ -1/2 y))) (/ (- x z) y)) (/.f64 x y)) | |
| cost-diff | 0 | (fma.f64 #s(approx (+ (* (neg (log y)) (- 1 (/ -1/2 y))) (/ (- x z) y)) (/.f64 x y)) y y) | |
| cost-diff | 0 | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 #s(approx (+ (* (neg (log y)) (- 1 (/ -1/2 y))) (/ (- x z) y)) (/.f64 x y)) y y)) | |
| cost-diff | 0 | (/.f64 x (-.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) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)))) x x)) | |
| cost-diff | 704 | (/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)))) | |
| cost-diff | 896 | (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)))) x x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 59 | 451 |
| 0 | 82 | 451 |
| 1 | 178 | 431 |
| 2 | 397 | 408 |
| 3 | 1111 | 408 |
| 4 | 3550 | 396 |
| 0 | 8262 | 390 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)))) x x)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)))) x x) |
(/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)))) |
#s(literal 1 binary64) |
(/.f64 x (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z))) |
x |
(-.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 |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 #s(approx (+ (* (neg (log y)) (- 1 (/ -1/2 y))) (/ (- x z) y)) (/.f64 x y)) y y)) |
(fma.f64 #s(approx (+ (* (neg (log y)) (- 1 (/ -1/2 y))) (/ (- x z) y)) (/.f64 x y)) y y) |
#s(approx (+ (* (neg (log y)) (- 1 (/ -1/2 y))) (/ (- x z) y)) (/.f64 x y)) |
(/.f64 x y) |
x |
y |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 #s(approx (+ (* (/ (- -1/2 y) z) (log y)) (+ (* (/ 1 z) (+ y x)) -1)) (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) z))) z)) |
(*.f64 #s(approx (+ (* (/ (- -1/2 y) z) (log y)) (+ (* (/ 1 z) (+ y x)) -1)) (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) z))) z) |
#s(approx (+ (* (/ (- -1/2 y) z) (log y)) (+ (* (/ 1 z) (+ y x)) -1)) (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) z))) |
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) z)) |
(neg.f64 x) |
x |
(/.f64 #s(literal -1 binary64) z) |
#s(literal -1 binary64) |
z |
#s(approx (- (+ (- x (/ (log y) (/ 1 (+ 1/2 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 |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 #s(approx (+ (* (neg (log y)) (- 1 (/ -1/2 y))) (/ (- x z) y)) (/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x) z) y)) y y)) |
(fma.f64 #s(approx (+ (* (neg (log y)) (- 1 (/ -1/2 y))) (/ (- x z) y)) (/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x) z) y)) y y) |
#s(approx (+ (* (neg (log y)) (- 1 (/ -1/2 y))) (/ (- x z) y)) (/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x) z) y)) |
(/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x) z) y) |
(-.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x) z) |
(fma.f64 #s(literal -1/2 binary64) (log.f64 y) x) |
#s(literal -1/2 binary64) |
(log.f64 y) |
y |
x |
z |
| Outputs |
|---|
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)))) x x)) |
#s(approx (- (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) z) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (-.f64 (+.f64 y x) z))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)))) x x) |
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (-.f64 (+.f64 y x) z)) |
(/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)))) |
(/.f64 (-.f64 y (fma.f64 (-.f64 y #s(literal -1/2 binary64)) (log.f64 y) z)) x) |
#s(literal 1 binary64) |
(/.f64 x (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z))) |
(/.f64 x (-.f64 y (fma.f64 (-.f64 y #s(literal -1/2 binary64)) (log.f64 y) z))) |
x |
(-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) |
(-.f64 y (fma.f64 (-.f64 y #s(literal -1/2 binary64)) (log.f64 y) z)) |
y |
(fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z) |
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) (log.f64 y) z) |
(+.f64 #s(literal 1/2 binary64) y) |
(-.f64 y #s(literal -1/2 binary64)) |
#s(literal 1/2 binary64) |
(log.f64 y) |
z |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 #s(approx (+ (* (neg (log y)) (- 1 (/ -1/2 y))) (/ (- x z) y)) (/.f64 x y)) y y)) |
#s(approx (- (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) z) (fma.f64 #s(approx (+ (* (neg (log y)) (- 1 (/ -1/2 y))) (/ (- x z) y)) (/.f64 x y)) y y)) |
(fma.f64 #s(approx (+ (* (neg (log y)) (- 1 (/ -1/2 y))) (/ (- x z) y)) (/.f64 x y)) y y) |
#s(approx (+ (* (neg (log y)) (- 1 (/ -1/2 y))) (/ (- x z) y)) (/.f64 x y)) |
(/.f64 x y) |
x |
y |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 #s(approx (+ (* (/ (- -1/2 y) z) (log y)) (+ (* (/ 1 z) (+ y x)) -1)) (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) z))) z)) |
#s(approx (- (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) z) (*.f64 #s(approx (+ (* (/ (- -1/2 y) z) (log y)) (+ (* (/ 1 z) (+ y x)) -1)) (/.f64 x z)) z)) |
(*.f64 #s(approx (+ (* (/ (- -1/2 y) z) (log y)) (+ (* (/ 1 z) (+ y x)) -1)) (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) z))) z) |
(*.f64 #s(approx (+ (* (/ (- -1/2 y) z) (log y)) (+ (* (/ 1 z) (+ y x)) -1)) (/.f64 x z)) z) |
#s(approx (+ (* (/ (- -1/2 y) z) (log y)) (+ (* (/ 1 z) (+ y x)) -1)) (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) z))) |
#s(approx (+ (* (/ (- -1/2 y) z) (log y)) (+ (* (/ 1 z) (+ y x)) -1)) (/.f64 x z)) |
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) z)) |
(/.f64 x z) |
(neg.f64 x) |
x |
(/.f64 #s(literal -1 binary64) z) |
#s(literal -1 binary64) |
z |
#s(approx (- (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) z) (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z))) |
#s(approx (- (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) z) (-.f64 y (fma.f64 (-.f64 y #s(literal -1/2 binary64)) (log.f64 y) z))) |
(-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) |
(-.f64 y (fma.f64 (-.f64 y #s(literal -1/2 binary64)) (log.f64 y) z)) |
y |
(fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z) |
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) (log.f64 y) z) |
(+.f64 #s(literal 1/2 binary64) y) |
(-.f64 y #s(literal -1/2 binary64)) |
#s(literal 1/2 binary64) |
(log.f64 y) |
z |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 #s(approx (+ (* (neg (log y)) (- 1 (/ -1/2 y))) (/ (- x z) y)) (/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x) z) y)) y y)) |
#s(approx (- (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) z) (fma.f64 #s(approx (+ (* (neg (log y)) (- 1 (/ -1/2 y))) (/ (- x z) y)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 y) (-.f64 x z)) y)) y y)) |
(fma.f64 #s(approx (+ (* (neg (log y)) (- 1 (/ -1/2 y))) (/ (- x z) y)) (/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x) z) y)) y y) |
(fma.f64 #s(approx (+ (* (neg (log y)) (- 1 (/ -1/2 y))) (/ (- x z) y)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 y) (-.f64 x z)) y)) y y) |
#s(approx (+ (* (neg (log y)) (- 1 (/ -1/2 y))) (/ (- x z) y)) (/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x) z) y)) |
#s(approx (+ (* (neg (log y)) (- 1 (/ -1/2 y))) (/ (- x z) y)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 y) (-.f64 x z)) y)) |
(/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x) z) y) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 y) (-.f64 x z)) y) |
(-.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x) z) |
(fma.f64 #s(literal -1/2 binary64) (log.f64 y) (-.f64 x z)) |
(fma.f64 #s(literal -1/2 binary64) (log.f64 y) x) |
#s(literal -1/2 binary64) |
(log.f64 y) |
y |
x |
z |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0078125 | (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x) | |
| accuracy | 0.05859375 | (/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x) z) y) | |
| accuracy | 9.07668012974313 | (fma.f64 #s(approx (+ (* (neg (log y)) (- 1 (/ -1/2 y))) (/ (- x z) y)) (/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x) z) y)) y y) | |
| accuracy | 21.48879169304396 | #s(approx (+ (* (neg (log y)) (- 1 (/ -1/2 y))) (/ (- x z) y)) (/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x) z) y)) | |
| accuracy | 0 | (log.f64 y) | |
| accuracy | 0.125 | (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) | |
| accuracy | 0.15234375 | (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z) | |
| accuracy | 18.09802031442658 | #s(approx (- (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) z) (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z))) | |
| accuracy | 0 | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 #s(approx (+ (* (/ (- -1/2 y) z) (log y)) (+ (* (/ 1 z) (+ y x)) -1)) (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) z))) z)) | |
| accuracy | 0.234375 | (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) z)) | |
| accuracy | 12.308683713295506 | (*.f64 #s(approx (+ (* (/ (- -1/2 y) z) (log y)) (+ (* (/ 1 z) (+ y x)) -1)) (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) z))) z) | |
| accuracy | 44.5032390636485 | #s(approx (+ (* (/ (- -1/2 y) z) (log y)) (+ (* (/ 1 z) (+ y x)) -1)) (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) z))) | |
| accuracy | 0 | (/.f64 x y) | |
| accuracy | 0 | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 #s(approx (+ (* (neg (log y)) (- 1 (/ -1/2 y))) (/ (- x z) y)) (/.f64 x y)) y y)) | |
| accuracy | 9.07668012974313 | (fma.f64 #s(approx (+ (* (neg (log y)) (- 1 (/ -1/2 y))) (/ (- x z) y)) (/.f64 x y)) y y) | |
| accuracy | 44.41405136879481 | #s(approx (+ (* (neg (log y)) (- 1 (/ -1/2 y))) (/ (- x z) y)) (/.f64 x y)) | |
| accuracy | 0.15234375 | (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z) | |
| accuracy | 0.174160009768442 | (/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)))) | |
| accuracy | 0.8413409362984507 | (/.f64 x (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z))) | |
| accuracy | 9.678242698486164 | (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)))) x x) |
| 234.0ms | 256× | 0 | valid |
Compiled 317 to 54 computations (83% saved)
ival-sub: 70.0ms (57.6% of total)ival-div: 17.0ms (14% of total)ival-mult: 14.0ms (11.5% of total)ival-add: 13.0ms (10.7% of total)ival-log: 4.0ms (3.3% of total)ival-neg: 2.0ms (1.6% of total)exact: 1.0ms (0.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)))) x x) (patch (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)))) x x) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)))) #<representation binary64>) () ()) |
#s(alt #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)))) x x)) (patch #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)))) x x)) #<representation binary64>) () ()) |
#s(alt (/.f64 x (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z))) (patch (/.f64 x (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z))) #<representation binary64>) () ()) |
#s(alt #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 #s(approx (+ (* (neg (log y)) (- 1 (/ -1/2 y))) (/ (- x z) y)) (/.f64 x y)) y y)) (patch #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 #s(approx (+ (* (neg (log y)) (- 1 (/ -1/2 y))) (/ (- x z) y)) (/.f64 x y)) y y)) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(approx (+ (* (neg (log y)) (- 1 (/ -1/2 y))) (/ (- x z) y)) (/.f64 x y)) y y) (patch (fma.f64 #s(approx (+ (* (neg (log y)) (- 1 (/ -1/2 y))) (/ (- x z) y)) (/.f64 x y)) y y) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (neg (log y)) (- 1 (/ -1/2 y))) (/ (- x z) y)) (/.f64 x y)) (patch #s(approx (+ (* (neg (log y)) (- 1 (/ -1/2 y))) (/ (- x z) y)) (/.f64 x y)) #<representation binary64>) () ()) |
#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ()) |
#s(alt (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) z)) (patch (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) z)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 #s(approx (+ (* (/ (- -1/2 y) z) (log y)) (+ (* (/ 1 z) (+ y x)) -1)) (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) z))) z)) (patch #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 #s(approx (+ (* (/ (- -1/2 y) z) (log y)) (+ (* (/ 1 z) (+ y x)) -1)) (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) z))) z)) #<representation binary64>) () ()) |
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#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 #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 #s(approx (+ (* (neg (log y)) (- 1 (/ -1/2 y))) (/ (- x z) y)) (/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x) z) y)) y y)) (patch #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 #s(approx (+ (* (neg (log y)) (- 1 (/ -1/2 y))) (/ (- x z) y)) (/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x) z) y)) y y)) #<representation binary64>) () ()) |
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#s(alt (log.f64 y) (patch (log.f64 y) #<representation binary64>) () ()) |
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| Outputs |
|---|
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#s(alt (- (+ x y) (* (log y) (+ 1/2 y))) (taylor 0 z) (#s(alt #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 #s(approx (+ (* (neg (log y)) (- 1 (/ -1/2 y))) (/ (- x z) y)) (/.f64 x y)) y y)) (patch #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 #s(approx (+ (* (neg (log y)) (- 1 (/ -1/2 y))) (/ (- x z) y)) (/.f64 x y)) y y)) #<representation binary64>) () ())) ()) |
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#s(alt (/ x z) (taylor 0 z) (#s(alt (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) z)) (patch (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) z)) #<representation binary64>) () ())) ()) |
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9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 32.0ms | z | @ | inf | ((+ (* (/ 1 (/ x (- y (+ (* (+ 1/2 y) (log y)) z)))) x) x) (/ 1 (/ x (- y (+ (* (+ 1/2 y) (log y)) z)))) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/ x (- y (+ (* (+ 1/2 y) (log y)) z))) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+ (* (+ (* (neg (log y)) (- 1 (/ -1/2 y))) (/ (- x z) y)) y) y) (+ (* (neg (log y)) (- 1 (/ -1/2 y))) (/ (- x z) y)) (/ x y) (* (neg x) (/ -1 z)) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (* (+ (* (/ (- -1/2 y) z) (log y)) (+ (* (/ 1 z) (+ y x)) -1)) z) (+ (* (/ (- -1/2 y) z) (log y)) (+ (* (/ 1 z) (+ y x)) -1)) (- (+ (- x (/ (log y) (/ 1 (+ 1/2 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) (+ (* (+ (* (neg (log y)) (- 1 (/ -1/2 y))) (/ (- x z) y)) y) y) (+ (* (neg (log y)) (- 1 (/ -1/2 y))) (/ (- x z) y)) (/ (- (+ (* -1/2 (log y)) x) z) y) (log y) (+ (* -1/2 (log y)) x)) |
| 20.0ms | y | @ | -inf | ((+ (* (/ 1 (/ x (- y (+ (* (+ 1/2 y) (log y)) z)))) x) x) (/ 1 (/ x (- y (+ (* (+ 1/2 y) (log y)) z)))) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/ x (- y (+ (* (+ 1/2 y) (log y)) z))) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+ (* (+ (* (neg (log y)) (- 1 (/ -1/2 y))) (/ (- x z) y)) y) y) (+ (* (neg (log y)) (- 1 (/ -1/2 y))) (/ (- x z) y)) (/ x y) (* (neg x) (/ -1 z)) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (* (+ (* (/ (- -1/2 y) z) (log y)) (+ (* (/ 1 z) (+ y x)) -1)) z) (+ (* (/ (- -1/2 y) z) (log y)) (+ (* (/ 1 z) (+ y x)) -1)) (- (+ (- x (/ (log y) (/ 1 (+ 1/2 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) (+ (* (+ (* (neg (log y)) (- 1 (/ -1/2 y))) (/ (- x z) y)) y) y) (+ (* (neg (log y)) (- 1 (/ -1/2 y))) (/ (- x z) y)) (/ (- (+ (* -1/2 (log y)) x) z) y) (log y) (+ (* -1/2 (log y)) x)) |
| 16.0ms | y | @ | inf | ((+ (* (/ 1 (/ x (- y (+ (* (+ 1/2 y) (log y)) z)))) x) x) (/ 1 (/ x (- y (+ (* (+ 1/2 y) (log y)) z)))) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/ x (- y (+ (* (+ 1/2 y) (log y)) z))) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+ (* (+ (* (neg (log y)) (- 1 (/ -1/2 y))) (/ (- x z) y)) y) y) (+ (* (neg (log y)) (- 1 (/ -1/2 y))) (/ (- x z) y)) (/ x y) (* (neg x) (/ -1 z)) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (* (+ (* (/ (- -1/2 y) z) (log y)) (+ (* (/ 1 z) (+ y x)) -1)) z) (+ (* (/ (- -1/2 y) z) (log y)) (+ (* (/ 1 z) (+ y x)) -1)) (- (+ (- x (/ (log y) (/ 1 (+ 1/2 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) (+ (* (+ (* (neg (log y)) (- 1 (/ -1/2 y))) (/ (- x z) y)) y) y) (+ (* (neg (log y)) (- 1 (/ -1/2 y))) (/ (- x z) y)) (/ (- (+ (* -1/2 (log y)) x) z) y) (log y) (+ (* -1/2 (log y)) x)) |
| 16.0ms | x | @ | inf | ((+ (* (/ 1 (/ x (- y (+ (* (+ 1/2 y) (log y)) z)))) x) x) (/ 1 (/ x (- y (+ (* (+ 1/2 y) (log y)) z)))) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/ x (- y (+ (* (+ 1/2 y) (log y)) z))) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+ (* (+ (* (neg (log y)) (- 1 (/ -1/2 y))) (/ (- x z) y)) y) y) (+ (* (neg (log y)) (- 1 (/ -1/2 y))) (/ (- x z) y)) (/ x y) (* (neg x) (/ -1 z)) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (* (+ (* (/ (- -1/2 y) z) (log y)) (+ (* (/ 1 z) (+ y x)) -1)) z) (+ (* (/ (- -1/2 y) z) (log y)) (+ (* (/ 1 z) (+ y x)) -1)) (- (+ (- x (/ (log y) (/ 1 (+ 1/2 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) (+ (* (+ (* (neg (log y)) (- 1 (/ -1/2 y))) (/ (- x z) y)) y) y) (+ (* (neg (log y)) (- 1 (/ -1/2 y))) (/ (- x z) y)) (/ (- (+ (* -1/2 (log y)) x) z) y) (log y) (+ (* -1/2 (log y)) x)) |
| 14.0ms | x | @ | -inf | ((+ (* (/ 1 (/ x (- y (+ (* (+ 1/2 y) (log y)) z)))) x) x) (/ 1 (/ x (- y (+ (* (+ 1/2 y) (log y)) z)))) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/ x (- y (+ (* (+ 1/2 y) (log y)) z))) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+ (* (+ (* (neg (log y)) (- 1 (/ -1/2 y))) (/ (- x z) y)) y) y) (+ (* (neg (log y)) (- 1 (/ -1/2 y))) (/ (- x z) y)) (/ x y) (* (neg x) (/ -1 z)) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (* (+ (* (/ (- -1/2 y) z) (log y)) (+ (* (/ 1 z) (+ y x)) -1)) z) (+ (* (/ (- -1/2 y) z) (log y)) (+ (* (/ 1 z) (+ y x)) -1)) (- (+ (- x (/ (log y) (/ 1 (+ 1/2 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) (+ (* (+ (* (neg (log y)) (- 1 (/ -1/2 y))) (/ (- x z) y)) y) y) (+ (* (neg (log y)) (- 1 (/ -1/2 y))) (/ (- x z) y)) (/ (- (+ (* -1/2 (log y)) x) z) y) (log y) (+ (* -1/2 (log y)) x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 589 | 10803 |
| 1 | 1868 | 9844 |
| 2 | 6375 | 9405 |
| 0 | 8298 | 8816 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (+ x y) (* (log y) (+ 1/2 y))) |
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(- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y))) |
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(- (+ 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 (* (log y) (+ 1/2 y)))) (/ (* x z) (pow (- y (* (log y) (+ 1/2 y))) 2))) |
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-1 |
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z |
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(+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1 (/ (+ (* -1 (- x z)) (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y))) |
(/ (- (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) z) y) |
(/ (- (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) z) y) |
(/ (- (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) z) y) |
(/ (- (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) z) 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)))) |
(+ 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)))))) |
(- 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)))) x) |
(- y (+ z (* (log y) (+ 1/2 y)))) |
(- (+ x y) (+ z (* (log y) (+ 1/2 y)))) |
(- (+ x y) (+ z (* (log y) (+ 1/2 y)))) |
(- (+ x y) (+ z (* (log y) (+ 1/2 y)))) |
(/ x (- y (+ z (* (log y) (+ 1/2 y))))) |
(/ x (- y (+ z (* (log y) (+ 1/2 y))))) |
(/ x (- y (+ z (* (log y) (+ 1/2 y))))) |
(/ x (- 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 (* y (- (* -1 (* (log y) (+ 1 (* 1/2 (/ 1 y))))) (/ z y)))) |
(+ x (+ y (* y (- (* -1 (* (log y) (+ 1 (* 1/2 (/ 1 y))))) (/ z y))))) |
(+ x (+ y (* y (- (* -1 (* (log y) (+ 1 (* 1/2 (/ 1 y))))) (/ z y))))) |
(+ x (+ y (* y (- (* -1 (* (log y) (+ 1 (* 1/2 (/ 1 y))))) (/ z y))))) |
(- (* -1 (* (log y) (+ 1 (* 1/2 (/ 1 y))))) (/ z y)) |
(- (+ (* -1 (* (log y) (+ 1 (* 1/2 (/ 1 y))))) (/ x y)) (/ z y)) |
(- (+ (* -1 (* (log y) (+ 1 (* 1/2 (/ 1 y))))) (/ x y)) (/ z y)) |
(- (+ (* -1 (* (log y) (+ 1 (* 1/2 (/ 1 y))))) (/ x y)) (/ z y)) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x 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)))) |
(* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (/ y z)) 1)) |
(+ x (* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (/ y z)) 1))) |
(+ x (* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (/ y z)) 1))) |
(+ x (* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (/ y z)) 1))) |
(- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (/ y z)) 1) |
(- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z))) 1) |
(- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z))) 1) |
(- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z))) 1) |
(- 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 (* y (- (* -1 (* (log y) (+ 1 (* 1/2 (/ 1 y))))) (/ z y)))) |
(+ x (+ y (* y (- (* -1 (* (log y) (+ 1 (* 1/2 (/ 1 y))))) (/ z y))))) |
(+ x (+ y (* y (- (* -1 (* (log y) (+ 1 (* 1/2 (/ 1 y))))) (/ z y))))) |
(+ x (+ y (* y (- (* -1 (* (log y) (+ 1 (* 1/2 (/ 1 y))))) (/ z y))))) |
(- (* -1 (* (log y) (+ 1 (* 1/2 (/ 1 y))))) (/ z y)) |
(- (+ (* -1 (* (log y) (+ 1 (* 1/2 (/ 1 y))))) (/ x y)) (/ z y)) |
(- (+ (* -1 (* (log y) (+ 1 (* 1/2 (/ 1 y))))) (/ x y)) (/ z y)) |
(- (+ (* -1 (* (log y) (+ 1 (* 1/2 (/ 1 y))))) (/ x y)) (/ z y)) |
(/ (- (* -1/2 (log y)) z) y) |
(- (+ (* -1/2 (/ (log y) y)) (/ x y)) (/ z y)) |
(- (+ (* -1/2 (/ (log y) y)) (/ x y)) (/ z y)) |
(- (+ (* -1/2 (/ (log y) y)) (/ x y)) (/ z y)) |
(* -1/2 (log y)) |
(+ x (* -1/2 (log y))) |
(+ x (* -1/2 (log y))) |
(+ x (* -1/2 (log y))) |
x |
(* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x)))) |
(* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x)))) |
(* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x)))) |
(/ (- y (+ z (* (log y) (+ 1/2 y)))) x) |
(/ (- y (+ z (* (log y) (+ 1/2 y)))) x) |
(/ (- y (+ z (* (log y) (+ 1/2 y)))) x) |
(/ (- y (+ z (* (log y) (+ 1/2 y)))) x) |
x |
(* 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 (- y (+ z (* (log y) (+ 1/2 y))))) |
(/ x (- y (+ z (* (log y) (+ 1/2 y))))) |
(/ x (- y (+ z (* (log y) (+ 1/2 y))))) |
(/ x (- y (+ z (* (log y) (+ 1/2 y))))) |
x |
(* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x)))) |
(* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x)))) |
(* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x)))) |
x |
(* x (+ 1 (+ (/ y x) (/ (* y (- (* -1 (* (log y) (+ 1 (* 1/2 (/ 1 y))))) (/ z y))) x)))) |
(* x (+ 1 (+ (/ y x) (/ (* y (- (* -1 (* (log y) (+ 1 (* 1/2 (/ 1 y))))) (/ z y))) x)))) |
(* x (+ 1 (+ (/ y x) (/ (* y (- (* -1 (* (log y) (+ 1 (* 1/2 (/ 1 y))))) (/ z y))) x)))) |
(/ x y) |
(* x (- (+ (* -1 (/ (* (log y) (+ 1 (* 1/2 (/ 1 y)))) x)) (/ 1 y)) (/ z (* x y)))) |
(* x (- (+ (* -1 (/ (* (log y) (+ 1 (* 1/2 (/ 1 y)))) x)) (/ 1 y)) (/ z (* x y)))) |
(* x (- (+ (* -1 (/ (* (log y) (+ 1 (* 1/2 (/ 1 y)))) x)) (/ 1 y)) (/ z (* x y)))) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
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 (/ (* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (/ y z)) 1)) x))) |
(* x (+ 1 (/ (* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (/ y z)) 1)) x))) |
(* x (+ 1 (/ (* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (/ y z)) 1)) x))) |
(/ x z) |
(* x (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) (* x z))) (+ (/ 1 z) (/ y (* x z)))) (/ 1 x))) |
(* x (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) (* x z))) (+ (/ 1 z) (/ y (* x z)))) (/ 1 x))) |
(* x (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) (* x z))) (+ (/ 1 z) (/ y (* x z)))) (/ 1 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) (/ (* y (- (* -1 (* (log y) (+ 1 (* 1/2 (/ 1 y))))) (/ z y))) x)))) |
(* x (+ 1 (+ (/ y x) (/ (* y (- (* -1 (* (log y) (+ 1 (* 1/2 (/ 1 y))))) (/ z y))) x)))) |
(* x (+ 1 (+ (/ y x) (/ (* y (- (* -1 (* (log y) (+ 1 (* 1/2 (/ 1 y))))) (/ z y))) x)))) |
(/ x y) |
(* x (- (+ (* -1 (/ (* (log y) (+ 1 (* 1/2 (/ 1 y)))) x)) (/ 1 y)) (/ z (* x y)))) |
(* x (- (+ (* -1 (/ (* (log y) (+ 1 (* 1/2 (/ 1 y)))) x)) (/ 1 y)) (/ z (* x y)))) |
(* x (- (+ (* -1 (/ (* (log y) (+ 1 (* 1/2 (/ 1 y)))) x)) (/ 1 y)) (/ z (* x y)))) |
(/ x y) |
(* x (- (+ (* -1/2 (/ (log y) (* x y))) (/ 1 y)) (/ z (* x y)))) |
(* x (- (+ (* -1/2 (/ (log y) (* x y))) (/ 1 y)) (/ z (* x y)))) |
(* x (- (+ (* -1/2 (/ (log y) (* x y))) (/ 1 y)) (/ z (* x y)))) |
x |
(* x (+ 1 (* -1/2 (/ (log y) x)))) |
(* x (+ 1 (* -1/2 (/ (log y) x)))) |
(* x (+ 1 (* -1/2 (/ (log y) x)))) |
x |
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1))) |
(/ (- y (+ z (* (log y) (+ 1/2 y)))) x) |
(/ (- y (+ z (* (log y) (+ 1/2 y)))) x) |
(/ (- y (+ z (* (log y) (+ 1/2 y)))) x) |
(/ (- y (+ z (* (log y) (+ 1/2 y)))) x) |
x |
(* -1 (* 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 (- y (+ z (* (log y) (+ 1/2 y))))) |
(/ x (- y (+ z (* (log y) (+ 1/2 y))))) |
(/ x (- y (+ z (* (log y) (+ 1/2 y))))) |
(/ x (- y (+ z (* (log y) (+ 1/2 y))))) |
x |
(* -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 (* y (+ (* -1 (* (log y) (+ 1 (* 1/2 (/ 1 y))))) (* -1 (/ z y))))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ y (* y (+ (* -1 (* (log y) (+ 1 (* 1/2 (/ 1 y))))) (* -1 (/ z y))))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ y (* y (+ (* -1 (* (log y) (+ 1 (* 1/2 (/ 1 y))))) (* -1 (/ z y))))) x)) 1))) |
(/ x y) |
(* -1 (* x (- (* -1 (/ (+ (* -1 (* (log y) (+ 1 (* 1/2 (/ 1 y))))) (* -1 (/ z y))) x)) (/ 1 y)))) |
(* -1 (* x (- (* -1 (/ (+ (* -1 (* (log y) (+ 1 (* 1/2 (/ 1 y))))) (* -1 (/ z y))) x)) (/ 1 y)))) |
(* -1 (* x (- (* -1 (/ (+ (* -1 (* (log y) (+ 1 (* 1/2 (/ 1 y))))) (* -1 (/ z y))) x)) (/ 1 y)))) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
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 (/ (* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (/ y z)) 1)) x)) 1))) |
(* -1 (* x (- (* -1 (/ (* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (/ y z)) 1)) x)) 1))) |
(* -1 (* x (- (* -1 (/ (* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (/ y z)) 1)) x)) 1))) |
(/ x z) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (/ y z)) 1) x)) (/ 1 z)))) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (/ y z)) 1) x)) (/ 1 z)))) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (/ y z)) 1) x)) (/ 1 z)))) |
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 (* y (+ (* -1 (* (log y) (+ 1 (* 1/2 (/ 1 y))))) (* -1 (/ z y))))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ y (* y (+ (* -1 (* (log y) (+ 1 (* 1/2 (/ 1 y))))) (* -1 (/ z y))))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ y (* y (+ (* -1 (* (log y) (+ 1 (* 1/2 (/ 1 y))))) (* -1 (/ z y))))) x)) 1))) |
(/ x y) |
(* -1 (* x (- (* -1 (/ (+ (* -1 (* (log y) (+ 1 (* 1/2 (/ 1 y))))) (* -1 (/ z y))) x)) (/ 1 y)))) |
(* -1 (* x (- (* -1 (/ (+ (* -1 (* (log y) (+ 1 (* 1/2 (/ 1 y))))) (* -1 (/ z y))) x)) (/ 1 y)))) |
(* -1 (* x (- (* -1 (/ (+ (* -1 (* (log y) (+ 1 (* 1/2 (/ 1 y))))) (* -1 (/ z y))) x)) (/ 1 y)))) |
(/ x y) |
(* -1 (* x (- (* -1 (/ (- (* -1/2 (/ (log y) y)) (/ z y)) x)) (/ 1 y)))) |
(* -1 (* x (- (* -1 (/ (- (* -1/2 (/ (log y) y)) (/ z y)) x)) (/ 1 y)))) |
(* -1 (* x (- (* -1 (/ (- (* -1/2 (/ (log y) y)) (/ z y)) x)) (/ 1 y)))) |
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))) |
| Outputs |
|---|
(- (+ x y) (* (log y) (+ 1/2 y))) |
(fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) (+.f64 y x)) |
(- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y))) |
(fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) (-.f64 (+.f64 y x) z)) |
(- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y))) |
(fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) (-.f64 (+.f64 y x) z)) |
(- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y))) |
(fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) (-.f64 (+.f64 y x) z)) |
(/ (- y (* (log y) (+ 1/2 y))) x) |
(/.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) x) |
(- (+ (* -1 (/ z x)) (/ y x)) (/ (* (log y) (+ 1/2 y)) x)) |
(/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x) |
(- (+ (* -1 (/ z x)) (/ y x)) (/ (* (log y) (+ 1/2 y)) x)) |
(/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x) |
(- (+ (* -1 (/ z x)) (/ y x)) (/ (* (log y) (+ 1/2 y)) x)) |
(/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x) |
(- (+ x y) (* (log y) (+ 1/2 y))) |
(fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) (+.f64 y x)) |
(- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y))) |
(fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) (-.f64 (+.f64 y x) z)) |
(- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y))) |
(fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) (-.f64 (+.f64 y x) z)) |
(- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y))) |
(fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) (-.f64 (+.f64 y x) z)) |
(/ x (- y (* (log y) (+ 1/2 y)))) |
(/.f64 x (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y)) |
(+ (/ x (- y (* (log y) (+ 1/2 y)))) (/ (* x z) (pow (- y (* (log y) (+ 1/2 y))) 2))) |
(fma.f64 (/.f64 z (pow.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) #s(literal 2 binary64))) x (/.f64 x (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y))) |
(+ (* z (- (/ (* x z) (pow (- y (* (log y) (+ 1/2 y))) 3)) (* -1 (/ x (pow (- y (* (log y) (+ 1/2 y))) 2))))) (/ x (- y (* (log y) (+ 1/2 y))))) |
(fma.f64 (fma.f64 (/.f64 z (pow.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) #s(literal 3 binary64))) x (/.f64 x (pow.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) #s(literal 2 binary64)))) z (/.f64 x (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y))) |
(+ (* z (- (* z (- (/ (* x z) (pow (- y (* (log y) (+ 1/2 y))) 4)) (* -1 (/ x (pow (- y (* (log y) (+ 1/2 y))) 3))))) (* -1 (/ x (pow (- y (* (log y) (+ 1/2 y))) 2))))) (/ x (- y (* (log y) (+ 1/2 y))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 z (pow.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) #s(literal 4 binary64))) x (/.f64 x (pow.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) #s(literal 3 binary64)))) z (/.f64 x (pow.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) #s(literal 2 binary64)))) z (/.f64 x (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y))) |
(- (+ x y) (* (log y) (+ 1/2 y))) |
(fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) (+.f64 y x)) |
(- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y))) |
(fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) (-.f64 (+.f64 y x) z)) |
(- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y))) |
(fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) (-.f64 (+.f64 y x) z)) |
(- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y))) |
(fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) (-.f64 (+.f64 y x) z)) |
(+ y (* y (+ (* -1 (* (log y) (+ 1 (* 1/2 (/ 1 y))))) (/ x y)))) |
(fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) (fma.f64 (/.f64 x y) y y)) |
(+ y (+ (* -1 z) (* y (+ (* -1 (* (log y) (+ 1 (* 1/2 (/ 1 y))))) (/ x y))))) |
(-.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) (fma.f64 (/.f64 x y) y y)) z) |
(+ y (+ (* -1 z) (* y (+ (* -1 (* (log y) (+ 1 (* 1/2 (/ 1 y))))) (/ x y))))) |
(-.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) (fma.f64 (/.f64 x y) y y)) z) |
(+ y (+ (* -1 z) (* y (+ (* -1 (* (log y) (+ 1 (* 1/2 (/ 1 y))))) (/ x y))))) |
(-.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) (fma.f64 (/.f64 x y) y y)) z) |
(+ (* -1 (* (log y) (+ 1 (* 1/2 (/ 1 y))))) (/ x y)) |
(-.f64 (fma.f64 (/.f64 (log.f64 y) y) #s(literal -1/2 binary64) (/.f64 x y)) (log.f64 y)) |
(+ (* -1 (* (log y) (+ 1 (* 1/2 (/ 1 y))))) (+ (* -1 (/ z y)) (/ x y))) |
(-.f64 (/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x) z) y) (log.f64 y)) |
(+ (* -1 (* (log y) (+ 1 (* 1/2 (/ 1 y))))) (+ (* -1 (/ z y)) (/ x y))) |
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x |
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(* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x)))) |
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(* x (+ 1 (+ (/ y x) (/ (* y (- (* -1 (* (log y) (+ 1 (* 1/2 (/ 1 y))))) (/ z y))) x)))) |
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(* x (+ 1 (+ (/ y x) (/ (* y (- (* -1 (* (log y) (+ 1 (* 1/2 (/ 1 y))))) (/ z y))) x)))) |
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(/ x y) |
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(* x (- (+ (* -1 (/ (* (log y) (+ 1 (* 1/2 (/ 1 y)))) x)) (/ 1 y)) (/ z (* x y)))) |
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(* x (- (+ (* -1 (/ (* (log y) (+ 1 (* 1/2 (/ 1 y)))) x)) (/ 1 y)) (/ z (* x y)))) |
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(* x (- (+ (* -1 (/ (* (log y) (+ 1 (* 1/2 (/ 1 y)))) x)) (/ 1 y)) (/ z (* x y)))) |
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (neg.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) (log.f64 y) (/.f64 z y))) x)) x) |
(/ x y) |
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(* x (- (+ (* -1/2 (/ (log y) (* x y))) (/ 1 y)) (/ z (* x y)))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 y) z) x) y)) x) |
(* x (- (+ (* -1/2 (/ (log y) (* x y))) (/ 1 y)) (/ z (* x y)))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 y) z) x) y)) x) |
(* x (- (+ (* -1/2 (/ (log y) (* x y))) (/ 1 y)) (/ z (* x y)))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 y) z) x) y)) x) |
x |
(* x (+ 1 (* -1/2 (/ (log y) x)))) |
(*.f64 (fma.f64 (/.f64 (log.f64 y) x) #s(literal -1/2 binary64) #s(literal 1 binary64)) x) |
(* x (+ 1 (* -1/2 (/ (log y) x)))) |
(*.f64 (fma.f64 (/.f64 (log.f64 y) x) #s(literal -1/2 binary64) #s(literal 1 binary64)) x) |
(* x (+ 1 (* -1/2 (/ (log y) x)))) |
(*.f64 (fma.f64 (/.f64 (log.f64 y) x) #s(literal -1/2 binary64) #s(literal 1 binary64)) x) |
x |
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x)) (neg.f64 x)) |
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x)) (neg.f64 x)) |
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x)) (neg.f64 x)) |
(/ (- y (+ z (* (log y) (+ 1/2 y)))) x) |
(/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x) |
(/ (- y (+ z (* (log y) (+ 1/2 y)))) x) |
(/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x) |
(/ (- y (+ z (* (log y) (+ 1/2 y)))) x) |
(/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x) |
(/ (- y (+ z (* (log y) (+ 1/2 y)))) x) |
(/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x) |
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(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x)) (neg.f64 x)) |
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x)) (neg.f64 x)) |
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(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x)) (neg.f64 x)) |
(/ x (- y (+ z (* (log y) (+ 1/2 y))))) |
(/.f64 x (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z))) |
(/ x (- y (+ z (* (log y) (+ 1/2 y))))) |
(/.f64 x (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z))) |
(/ x (- y (+ z (* (log y) (+ 1/2 y))))) |
(/.f64 x (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z))) |
(/ x (- y (+ z (* (log y) (+ 1/2 y))))) |
(/.f64 x (-.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 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x)) (neg.f64 x)) |
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x)) (neg.f64 x)) |
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x)) (neg.f64 x)) |
x |
(* -1 (* x (- (* -1 (/ (+ y (* y (+ (* -1 (* (log y) (+ 1 (* 1/2 (/ 1 y))))) (* -1 (/ z y))))) x)) 1))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) (fma.f64 (neg.f64 y) (/.f64 z y) y)) x)) (neg.f64 x)) |
(* -1 (* x (- (* -1 (/ (+ y (* y (+ (* -1 (* (log y) (+ 1 (* 1/2 (/ 1 y))))) (* -1 (/ z y))))) x)) 1))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) (fma.f64 (neg.f64 y) (/.f64 z y) y)) x)) (neg.f64 x)) |
(* -1 (* x (- (* -1 (/ (+ y (* y (+ (* -1 (* (log y) (+ 1 (* 1/2 (/ 1 y))))) (* -1 (/ z y))))) x)) 1))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) (fma.f64 (neg.f64 y) (/.f64 z y) y)) x)) (neg.f64 x)) |
(/ x y) |
(/.f64 x y) |
(* -1 (* x (- (* -1 (/ (+ (* -1 (* (log y) (+ 1 (* 1/2 (/ 1 y))))) (* -1 (/ z y))) x)) (/ 1 y)))) |
(*.f64 (-.f64 (/.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) (log.f64 y) (/.f64 z y)) x) (/.f64 #s(literal 1 binary64) y)) (neg.f64 x)) |
(* -1 (* x (- (* -1 (/ (+ (* -1 (* (log y) (+ 1 (* 1/2 (/ 1 y))))) (* -1 (/ z y))) x)) (/ 1 y)))) |
(*.f64 (-.f64 (/.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) (log.f64 y) (/.f64 z y)) x) (/.f64 #s(literal 1 binary64) y)) (neg.f64 x)) |
(* -1 (* x (- (* -1 (/ (+ (* -1 (* (log y) (+ 1 (* 1/2 (/ 1 y))))) (* -1 (/ z y))) x)) (/ 1 y)))) |
(*.f64 (-.f64 (/.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) (log.f64 y) (/.f64 z y)) x) (/.f64 #s(literal 1 binary64) y)) (neg.f64 x)) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
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x |
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x)) (neg.f64 x)) |
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x)) (neg.f64 x)) |
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x)) (neg.f64 x)) |
x |
(* -1 (* x (- (* -1 (/ (* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (/ y z)) 1)) x)) 1))) |
(*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) z)) (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x)) |
(* -1 (* x (- (* -1 (/ (* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (/ y z)) 1)) x)) 1))) |
(*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) z)) (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x)) |
(* -1 (* x (- (* -1 (/ (* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (/ y z)) 1)) x)) 1))) |
(*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) z)) (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x)) |
(/ x z) |
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(* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (/ y z)) 1) x)) (/ 1 z)))) |
(*.f64 (+.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) z) #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) z)) x) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (/ y z)) 1) x)) (/ 1 z)))) |
(*.f64 (+.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) z) #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) z)) x) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (/ y z)) 1) x)) (/ 1 z)))) |
(*.f64 (+.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) z) #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) z)) x) |
x |
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x)) (neg.f64 x)) |
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x)) (neg.f64 x)) |
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x)) (neg.f64 x)) |
x |
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x)) (neg.f64 x)) |
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x)) (neg.f64 x)) |
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x)) (neg.f64 x)) |
x |
(* -1 (* x (- (* -1 (/ (+ y (* y (+ (* -1 (* (log y) (+ 1 (* 1/2 (/ 1 y))))) (* -1 (/ z y))))) x)) 1))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) (fma.f64 (neg.f64 y) (/.f64 z y) y)) x)) (neg.f64 x)) |
(* -1 (* x (- (* -1 (/ (+ y (* y (+ (* -1 (* (log y) (+ 1 (* 1/2 (/ 1 y))))) (* -1 (/ z y))))) x)) 1))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) (fma.f64 (neg.f64 y) (/.f64 z y) y)) x)) (neg.f64 x)) |
(* -1 (* x (- (* -1 (/ (+ y (* y (+ (* -1 (* (log y) (+ 1 (* 1/2 (/ 1 y))))) (* -1 (/ z y))))) x)) 1))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) (fma.f64 (neg.f64 y) (/.f64 z y) y)) x)) (neg.f64 x)) |
(/ x y) |
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(* -1 (* x (- (* -1 (/ (+ (* -1 (* (log y) (+ 1 (* 1/2 (/ 1 y))))) (* -1 (/ z y))) x)) (/ 1 y)))) |
(*.f64 (-.f64 (/.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) (log.f64 y) (/.f64 z y)) x) (/.f64 #s(literal 1 binary64) y)) (neg.f64 x)) |
(* -1 (* x (- (* -1 (/ (+ (* -1 (* (log y) (+ 1 (* 1/2 (/ 1 y))))) (* -1 (/ z y))) x)) (/ 1 y)))) |
(*.f64 (-.f64 (/.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) (log.f64 y) (/.f64 z y)) x) (/.f64 #s(literal 1 binary64) y)) (neg.f64 x)) |
(* -1 (* x (- (* -1 (/ (+ (* -1 (* (log y) (+ 1 (* 1/2 (/ 1 y))))) (* -1 (/ z y))) x)) (/ 1 y)))) |
(*.f64 (-.f64 (/.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) (log.f64 y) (/.f64 z y)) x) (/.f64 #s(literal 1 binary64) y)) (neg.f64 x)) |
(/ x y) |
(/.f64 x y) |
(* -1 (* x (- (* -1 (/ (- (* -1/2 (/ (log y) y)) (/ z y)) x)) (/ 1 y)))) |
(*.f64 (-.f64 (/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 y) z) x) y) (/.f64 #s(literal 1 binary64) y)) (neg.f64 x)) |
(* -1 (* x (- (* -1 (/ (- (* -1/2 (/ (log y) y)) (/ z y)) x)) (/ 1 y)))) |
(*.f64 (-.f64 (/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 y) z) x) y) (/.f64 #s(literal 1 binary64) y)) (neg.f64 x)) |
(* -1 (* x (- (* -1 (/ (- (* -1/2 (/ (log y) y)) (/ z y)) x)) (/ 1 y)))) |
(*.f64 (-.f64 (/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 y) z) x) y) (/.f64 #s(literal 1 binary64) y)) (neg.f64 x)) |
x |
(* -1 (* x (- (* 1/2 (/ (log y) x)) 1))) |
(fma.f64 (*.f64 (/.f64 (log.f64 y) x) #s(literal 1/2 binary64)) (neg.f64 x) x) |
(* -1 (* x (- (* 1/2 (/ (log y) x)) 1))) |
(fma.f64 (*.f64 (/.f64 (log.f64 y) x) #s(literal 1/2 binary64)) (neg.f64 x) x) |
(* -1 (* x (- (* 1/2 (/ (log y) x)) 1))) |
(fma.f64 (*.f64 (/.f64 (log.f64 y) x) #s(literal 1/2 binary64)) (neg.f64 x) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 59 | 399 |
| 0 | 82 | 399 |
| 1 | 475 | 367 |
| 2 | 4476 | 367 |
| 0 | 8166 | 359 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)))) x x) |
(/.f64 #s(literal 1 binary64) (/.f64 x (-.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 binary64) (/.f64 x (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)))) x x)) |
(/.f64 x (-.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 #s(approx (+ (* (neg (log y)) (- 1 (/ -1/2 y))) (/ (- x z) y)) (/.f64 x y)) y y)) |
(fma.f64 #s(approx (+ (* (neg (log y)) (- 1 (/ -1/2 y))) (/ (- x z) y)) (/.f64 x y)) y y) |
#s(approx (+ (* (neg (log y)) (- 1 (/ -1/2 y))) (/ (- x z) y)) (/.f64 x y)) |
(/.f64 x y) |
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) z)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 #s(approx (+ (* (/ (- -1/2 y) z) (log y)) (+ (* (/ 1 z) (+ y x)) -1)) (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) z))) z)) |
(*.f64 #s(approx (+ (* (/ (- -1/2 y) z) (log y)) (+ (* (/ 1 z) (+ y x)) -1)) (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) z))) z) |
#s(approx (+ (* (/ (- -1/2 y) z) (log y)) (+ (* (/ 1 z) (+ y x)) -1)) (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) z))) |
#s(approx (- (+ (- x (/ (log y) (/ 1 (+ 1/2 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) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 #s(approx (+ (* (neg (log y)) (- 1 (/ -1/2 y))) (/ (- x z) y)) (/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x) z) y)) y y)) |
(fma.f64 #s(approx (+ (* (neg (log y)) (- 1 (/ -1/2 y))) (/ (- x z) y)) (/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x) z) y)) y y) |
#s(approx (+ (* (neg (log y)) (- 1 (/ -1/2 y))) (/ (- x z) y)) (/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x) z) y)) |
(/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x) z) y) |
(log.f64 y) |
(fma.f64 #s(literal -1/2 binary64) (log.f64 y) x) |
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Compiled 23 468 to 2 818 computations (88% saved)
30 alts after pruning (23 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 199 | 8 | 1 207 |
| Fresh | 0 | 15 | 15 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 4 | 4 |
| Total | 1 201 | 30 | 1 231 |
| Status | Accuracy | Program |
|---|---|---|
| 76.4% | (-.f64 (+.f64 (-.f64 x (/.f64 (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (-.f64 y #s(literal 1/2 binary64)))) y) z) | |
| 84.4% | (-.f64 (+.f64 (-.f64 x (/.f64 (log.f64 y) #s(approx (/ 1 (+ 1/2 y)) (/.f64 #s(literal 1 binary64) y)))) y) z) | |
| ✓ | 66.3% | (-.f64 #s(approx (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z) |
| 65.9% | (-.f64 #s(approx (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) #s(approx (+ (* -1/2 (log y)) x) (fma.f64 (*.f64 (/.f64 (log.f64 y) x) #s(literal -1/2 binary64)) x x))) z) | |
| 38.4% | (-.f64 #s(approx (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) #s(approx (+ (* -1/2 (log y)) x) (*.f64 #s(literal -1/2 binary64) (log.f64 y)))) z) | |
| 57.1% | (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log.f64 y) #s(literal 2 binary64))) y) (+.f64 #s(literal 1 binary64) (log.f64 y)))) z) | |
| ✓ | 57.5% | (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) z) |
| 78.2% | #s(approx (- (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) z) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x))) | |
| ✓ | 71.6% | #s(approx (- (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) z) (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z))) |
| 63.0% | #s(approx (- (+ (- x (/ (log y) (/ 1 (+ 1/2 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)))) | |
| 50.0% | #s(approx (- (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) z) (-.f64 y #s(approx (+ (* (+ 1/2 y) (log y)) z) (*.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y))))) | |
| 36.2% | #s(approx (- (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) z) (-.f64 y #s(approx (+ (* (+ 1/2 y) (log y)) z) (*.f64 (log.f64 y) y)))) | |
| 36.2% | #s(approx (- (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) z) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) | |
| 50.0% | #s(approx (- (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) z) #s(approx (- y (+ (* (+ 1/2 y) (log y)) z)) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y))) | |
| 46.7% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 (/.f64 #s(approx (- y (+ (* (+ 1/2 y) (log y)) z)) (neg.f64 z)) x) x x)) | |
| 52.6% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 y #s(approx (+ (* (+ 1/2 y) (log y)) z) (*.f64 (log.f64 y) y))))) x x)) | |
| 18.8% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 #s(approx (+ (* (neg (log y)) (- 1 (/ -1/2 y))) (/ (- x z) y)) (/.f64 (neg.f64 z) y)) y y)) | |
| ✓ | 20.3% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 #s(approx (+ (* (neg (log y)) (- 1 (/ -1/2 y))) (/ (- x z) y)) (/.f64 x y)) y y)) |
| 34.2% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 #s(approx (+ (* (neg (log y)) (- 1 (/ -1/2 y))) (/ (- x z) y)) #s(approx (/ (- (+ (* -1/2 (log y)) x) z) y) (/.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x) y))) y y)) | |
| 12.5% | #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))) | |
| 20.3% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+.f64 (*.f64 #s(approx (+ (* (neg (log y)) (- 1 (/ -1/2 y))) (/ (- x z) y)) (/.f64 x y)) y) y)) | |
| 40.5% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (fma.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1 binary64) z)) (log.f64 y) #s(approx (+ (* (/ 1 z) (+ y x)) -1) (/.f64 y z))) z)) | |
| 27.2% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (fma.f64 #s(approx (/ (- -1/2 y) z) (/.f64 (neg.f64 y) z)) (log.f64 y) #s(approx (+ (* (/ 1 z) (+ y x)) -1) (/.f64 y z))) z)) | |
| 20.3% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (+.f64 #s(approx (+ (* (neg (log y)) (- 1 (/ -1/2 y))) (/ (- x z) y)) (/.f64 x y)) #s(literal 1 binary64)) y)) | |
| 27.8% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 #s(approx (+ (* (/ (- -1/2 y) z) (log y)) (+ (* (/ 1 z) (+ y x)) -1)) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y) z)) z)) | |
| ✓ | 19.4% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 #s(approx (+ (* (/ (- -1/2 y) z) (log y)) (+ (* (/ 1 z) (+ y x)) -1)) (/.f64 x z)) z)) |
| 19.4% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 #s(approx (+ (* (/ (- -1/2 y) z) (log y)) (+ (* (/ 1 z) (+ y x)) -1)) (/.f64 #s(literal 1 binary64) (/.f64 z x))) z)) | |
| ✓ | 19.4% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 #s(approx (+ (* (/ (- -1/2 y) z) (log y)) (+ (* (/ 1 z) (+ y x)) -1)) (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) z))) z)) |
| ✓ | 24.1% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z)) |
| 63.2% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (* (+ (* (/ (- -1/2 y) z) (log y)) (+ (* (/ 1 z) (+ y x)) -1)) z) (*.f64 (*.f64 z y) (+.f64 (/.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x) z) #s(literal 1 binary64)) y) (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) z))))) |
Compiled 955 to 522 computations (45.3% 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 #s(approx (+ (* (/ (- -1/2 y) z) (log y)) (+ (* (/ 1 z) (+ y x)) -1)) (/.f64 x z)) z)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 #s(approx (+ (* (neg (log y)) (- 1 (/ -1/2 y))) (/ (- x z) y)) (/.f64 x y)) y y)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (+.f64 #s(approx (+ (* (neg (log y)) (- 1 (/ -1/2 y))) (/ (- x z) y)) (/.f64 x y)) #s(literal 1 binary64)) y)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+.f64 (*.f64 #s(approx (+ (* (neg (log y)) (- 1 (/ -1/2 y))) (/ (- x z) y)) (/.f64 x y)) y) y)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 #s(approx (+ (* (neg (log y)) (- 1 (/ -1/2 y))) (/ (- x z) y)) (/.f64 (neg.f64 z) y)) y y)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 (/.f64 #s(approx (- y (+ (* (+ 1/2 y) (log y)) z)) (neg.f64 z)) x) x x)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 #s(approx (+ (* (/ (- -1/2 y) z) (log y)) (+ (* (/ 1 z) (+ y x)) -1)) (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) z))) z)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 #s(approx (+ (* (/ (- -1/2 y) z) (log y)) (+ (* (/ 1 z) (+ y x)) -1)) (/.f64 #s(literal 1 binary64) (/.f64 z x))) z)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (-.f64 #s(literal 1 binary64) (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 (- (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) z) (-.f64 y #s(approx (+ (* (+ 1/2 y) (log y)) z) (*.f64 (log.f64 y) y)))) |
(-.f64 #s(approx (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) #s(approx (+ (* -1/2 (log y)) x) (*.f64 #s(literal -1/2 binary64) (log.f64 y)))) z) |
#s(approx (- (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) z) #s(approx (- y (+ (* (+ 1/2 y) (log y)) z)) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y))) |
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z) |
(-.f64 #s(approx (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z) |
#s(approx (- (+ (- x (/ (log y) (/ 1 (+ 1/2 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) |
#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 (- (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) z) (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z))) |
#s(approx (- (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) z) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x))) |
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 #s(approx (+ (* (neg (log y)) (- 1 (/ -1/2 y))) (/ (- x z) y)) #s(approx (/ (- (+ (* -1/2 (log y)) x) z) y) (/.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x) y))) y y)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 #s(approx (+ (* (/ (- -1/2 y) z) (log y)) (+ (* (/ 1 z) (+ y x)) -1)) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y) z)) z)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 (/.f64 #s(approx (- y (+ (* (+ 1/2 y) (log y)) z)) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) (neg.f64 z))) x) x x)) |
(-.f64 #s(approx (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) #s(approx (+ (* -1/2 (log y)) x) (fma.f64 (*.f64 (/.f64 (log.f64 y) x) #s(literal -1/2 binary64)) x x))) z) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 #s(approx (+ (* (neg (log y)) (- 1 (/ -1/2 y))) (/ (- x z) y)) (/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x) z) y)) y y)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 #s(approx (+ (* (/ (- -1/2 y) z) (log y)) (+ (* (/ 1 z) (+ y x)) -1)) (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x)) z)) z)) |
#s(approx (- (+ (- x (/ (log y) (/ 1 (+ 1/2 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) (fma.f64 (/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x) x x)) |
(-.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 x (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) y)))) y) z) |
(-.f64 (+.f64 (-.f64 x (/.f64 (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (-.f64 y #s(literal 1/2 binary64)))) y) z) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 #s(approx (+ (* (/ (- -1/2 y) z) (log y)) (+ (* (/ 1 z) (+ y x)) -1)) (fma.f64 (neg.f64 y) (/.f64 (log.f64 y) z) (/.f64 y z))) z)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (fma.f64 #s(approx (/ (- -1/2 y) z) (/.f64 (neg.f64 y) z)) (log.f64 y) #s(approx (+ (* (/ 1 z) (+ y x)) -1) (/.f64 y z))) 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) #s(approx (+ (* (/ 1 z) (+ y x)) -1) (/.f64 y z))) z)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 y #s(approx (+ (* (+ 1/2 y) (log y)) z) (*.f64 (log.f64 y) y))))) x x)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)))) x x)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (fma.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1 binary64) z)) (log.f64 y) #s(approx (+ (* (/ 1 z) (+ y x)) -1) (/.f64 y z))) z)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (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)) |
#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)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (+.f64 #s(literal 1/2 binary64) y)) (log.f64 y) (fma.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 y x) #s(literal -1 binary64))) z)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (* (+ (* (/ (- -1/2 y) z) (log y)) (+ (* (/ 1 z) (+ y x)) -1)) z) (*.f64 (*.f64 z y) (+.f64 (/.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x) z) #s(literal 1 binary64)) y) (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) z))))) |
(/.f64 (fma.f64 (fma.f64 y y (*.f64 (neg.f64 z) z)) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x)) (*.f64 (+.f64 y z) #s(literal 1 binary64))) (*.f64 (+.f64 y z) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x)))) |
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log.f64 y) #s(literal 2 binary64))) y) (+.f64 #s(literal 1 binary64) (log.f64 y)))) z) |
(fma.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x y)) (*.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (-.f64 x y)) (pow.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (-.f64 x y)) #s(literal -1 binary64))) (neg.f64 z)) |
| Outputs |
|---|
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) |
5 calls:
| 17.0ms | z |
| 17.0ms | (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) |
| 13.0ms | (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) |
| 13.0ms | x |
| 13.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | x |
| 99.8% | 1 | y |
| 99.8% | 1 | z |
| 99.8% | 1 | (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) |
| 99.8% | 1 | (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) |
Compiled 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 #s(approx (+ (* (/ (- -1/2 y) z) (log y)) (+ (* (/ 1 z) (+ y x)) -1)) (/.f64 x z)) z)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 #s(approx (+ (* (neg (log y)) (- 1 (/ -1/2 y))) (/ (- x z) y)) (/.f64 x y)) y y)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (+.f64 #s(approx (+ (* (neg (log y)) (- 1 (/ -1/2 y))) (/ (- x z) y)) (/.f64 x y)) #s(literal 1 binary64)) y)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+.f64 (*.f64 #s(approx (+ (* (neg (log y)) (- 1 (/ -1/2 y))) (/ (- x z) y)) (/.f64 x y)) y) y)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 #s(approx (+ (* (neg (log y)) (- 1 (/ -1/2 y))) (/ (- x z) y)) (/.f64 (neg.f64 z) y)) y y)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 (/.f64 #s(approx (- y (+ (* (+ 1/2 y) (log y)) z)) (neg.f64 z)) x) x x)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 #s(approx (+ (* (/ (- -1/2 y) z) (log y)) (+ (* (/ 1 z) (+ y x)) -1)) (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) z))) z)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 #s(approx (+ (* (/ (- -1/2 y) z) (log y)) (+ (* (/ 1 z) (+ y x)) -1)) (/.f64 #s(literal 1 binary64) (/.f64 z x))) z)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (-.f64 #s(literal 1 binary64) (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 (- (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) z) (-.f64 y #s(approx (+ (* (+ 1/2 y) (log y)) z) (*.f64 (log.f64 y) y)))) |
(-.f64 #s(approx (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) #s(approx (+ (* -1/2 (log y)) x) (*.f64 #s(literal -1/2 binary64) (log.f64 y)))) z) |
#s(approx (- (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) z) #s(approx (- y (+ (* (+ 1/2 y) (log y)) z)) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y))) |
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z) |
(-.f64 #s(approx (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z) |
#s(approx (- (+ (- x (/ (log y) (/ 1 (+ 1/2 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) |
#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 (- (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) z) (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z))) |
#s(approx (- (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) 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) |
#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 (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z))) |
5 calls:
| 11.0ms | z |
| 7.0ms | x |
| 7.0ms | (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) |
| 7.0ms | (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) |
| 7.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.2% | 3 | x |
| 93.1% | 3 | y |
| 92.8% | 3 | z |
| 87.3% | 2 | (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) |
| 91.8% | 3 | (+.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 #s(approx (+ (* (/ (- -1/2 y) z) (log y)) (+ (* (/ 1 z) (+ y x)) -1)) (/.f64 x z)) z)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 #s(approx (+ (* (neg (log y)) (- 1 (/ -1/2 y))) (/ (- x z) y)) (/.f64 x y)) y y)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (+.f64 #s(approx (+ (* (neg (log y)) (- 1 (/ -1/2 y))) (/ (- x z) y)) (/.f64 x y)) #s(literal 1 binary64)) y)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+.f64 (*.f64 #s(approx (+ (* (neg (log y)) (- 1 (/ -1/2 y))) (/ (- x z) y)) (/.f64 x y)) y) y)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 #s(approx (+ (* (neg (log y)) (- 1 (/ -1/2 y))) (/ (- x z) y)) (/.f64 (neg.f64 z) y)) y y)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 (/.f64 #s(approx (- y (+ (* (+ 1/2 y) (log y)) z)) (neg.f64 z)) x) x x)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 #s(approx (+ (* (/ (- -1/2 y) z) (log y)) (+ (* (/ 1 z) (+ y x)) -1)) (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) z))) z)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 #s(approx (+ (* (/ (- -1/2 y) z) (log y)) (+ (* (/ 1 z) (+ y x)) -1)) (/.f64 #s(literal 1 binary64) (/.f64 z x))) z)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (-.f64 #s(literal 1 binary64) (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 (- (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) z) (-.f64 y #s(approx (+ (* (+ 1/2 y) (log y)) z) (*.f64 (log.f64 y) y)))) |
(-.f64 #s(approx (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) #s(approx (+ (* -1/2 (log y)) x) (*.f64 #s(literal -1/2 binary64) (log.f64 y)))) z) |
#s(approx (- (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) z) #s(approx (- y (+ (* (+ 1/2 y) (log y)) z)) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y))) |
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z) |
(-.f64 #s(approx (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z) |
#s(approx (- (+ (- x (/ (log y) (/ 1 (+ 1/2 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) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z))) |
| Outputs |
|---|
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z) |
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) z) |
4 calls:
| 11.0ms | z |
| 6.0ms | x |
| 6.0ms | (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) |
| 6.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 85.7% | 2 | (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) |
| 91.0% | 3 | x |
| 75.3% | 3 | z |
| 90.2% | 2 | y |
Compiled 13 to 18 computations (-38.5% 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 #s(approx (+ (* (/ (- -1/2 y) z) (log y)) (+ (* (/ 1 z) (+ y x)) -1)) (/.f64 x z)) z)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 #s(approx (+ (* (neg (log y)) (- 1 (/ -1/2 y))) (/ (- x z) y)) (/.f64 x y)) y y)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (+.f64 #s(approx (+ (* (neg (log y)) (- 1 (/ -1/2 y))) (/ (- x z) y)) (/.f64 x y)) #s(literal 1 binary64)) y)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+.f64 (*.f64 #s(approx (+ (* (neg (log y)) (- 1 (/ -1/2 y))) (/ (- x z) y)) (/.f64 x y)) y) y)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 #s(approx (+ (* (neg (log y)) (- 1 (/ -1/2 y))) (/ (- x z) y)) (/.f64 (neg.f64 z) y)) y y)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 (/.f64 #s(approx (- y (+ (* (+ 1/2 y) (log y)) z)) (neg.f64 z)) x) x x)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 #s(approx (+ (* (/ (- -1/2 y) z) (log y)) (+ (* (/ 1 z) (+ y x)) -1)) (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) z))) z)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 #s(approx (+ (* (/ (- -1/2 y) z) (log y)) (+ (* (/ 1 z) (+ y x)) -1)) (/.f64 #s(literal 1 binary64) (/.f64 z x))) z)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (-.f64 #s(literal 1 binary64) (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 (- (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) z) (-.f64 y #s(approx (+ (* (+ 1/2 y) (log y)) z) (*.f64 (log.f64 y) y)))) |
(-.f64 #s(approx (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) #s(approx (+ (* -1/2 (log y)) x) (*.f64 #s(literal -1/2 binary64) (log.f64 y)))) z) |
#s(approx (- (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) z) #s(approx (- y (+ (* (+ 1/2 y) (log y)) z)) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y))) |
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z) |
(-.f64 #s(approx (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z) |
#s(approx (- (+ (- x (/ (log y) (/ 1 (+ 1/2 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)) |
4 calls:
| 9.0ms | y |
| 6.0ms | (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) |
| 6.0ms | x |
| 6.0ms | (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 76.4% | 2 | (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) |
| 77.8% | 4 | (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) |
| 75.7% | 3 | x |
| 85.3% | 2 | 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 #s(approx (+ (* (/ (- -1/2 y) z) (log y)) (+ (* (/ 1 z) (+ y x)) -1)) (/.f64 x z)) z)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 #s(approx (+ (* (neg (log y)) (- 1 (/ -1/2 y))) (/ (- x z) y)) (/.f64 x y)) y y)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (+.f64 #s(approx (+ (* (neg (log y)) (- 1 (/ -1/2 y))) (/ (- x z) y)) (/.f64 x y)) #s(literal 1 binary64)) y)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+.f64 (*.f64 #s(approx (+ (* (neg (log y)) (- 1 (/ -1/2 y))) (/ (- x z) y)) (/.f64 x y)) y) y)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 #s(approx (+ (* (neg (log y)) (- 1 (/ -1/2 y))) (/ (- x z) y)) (/.f64 (neg.f64 z) y)) y y)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 (/.f64 #s(approx (- y (+ (* (+ 1/2 y) (log y)) z)) (neg.f64 z)) x) x x)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 #s(approx (+ (* (/ (- -1/2 y) z) (log y)) (+ (* (/ 1 z) (+ y x)) -1)) (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) z))) z)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 #s(approx (+ (* (/ (- -1/2 y) z) (log y)) (+ (* (/ 1 z) (+ y x)) -1)) (/.f64 #s(literal 1 binary64) (/.f64 z x))) z)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (-.f64 #s(literal 1 binary64) (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 (- (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) z) (-.f64 y #s(approx (+ (* (+ 1/2 y) (log y)) z) (*.f64 (log.f64 y) y)))) |
(-.f64 #s(approx (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) #s(approx (+ (* -1/2 (log y)) x) (*.f64 #s(literal -1/2 binary64) (log.f64 y)))) z) |
#s(approx (- (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) z) #s(approx (- y (+ (* (+ 1/2 y) (log y)) z)) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y))) |
| Outputs |
|---|
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 (/.f64 #s(approx (- y (+ (* (+ 1/2 y) (log y)) z)) (neg.f64 z)) x) x x)) |
#s(approx (- (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) z) #s(approx (- y (+ (* (+ 1/2 y) (log y)) z)) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 (/.f64 #s(approx (- y (+ (* (+ 1/2 y) (log y)) z)) (neg.f64 z)) x) x x)) |
4 calls:
| 12.0ms | y |
| 7.0ms | x |
| 5.0ms | (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) |
| 5.0ms | (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 75.3% | 3 | x |
| 72.2% | 4 | (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) |
| 74.4% | 3 | (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) |
| 66.5% | 2 | 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 #s(approx (+ (* (/ (- -1/2 y) z) (log y)) (+ (* (/ 1 z) (+ y x)) -1)) (/.f64 x z)) z)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 #s(approx (+ (* (neg (log y)) (- 1 (/ -1/2 y))) (/ (- x z) y)) (/.f64 x y)) y y)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (+.f64 #s(approx (+ (* (neg (log y)) (- 1 (/ -1/2 y))) (/ (- x z) y)) (/.f64 x y)) #s(literal 1 binary64)) y)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+.f64 (*.f64 #s(approx (+ (* (neg (log y)) (- 1 (/ -1/2 y))) (/ (- x z) y)) (/.f64 x y)) y) y)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 #s(approx (+ (* (neg (log y)) (- 1 (/ -1/2 y))) (/ (- x z) y)) (/.f64 (neg.f64 z) y)) y y)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 (/.f64 #s(approx (- y (+ (* (+ 1/2 y) (log y)) z)) (neg.f64 z)) x) x x)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 #s(approx (+ (* (/ (- -1/2 y) z) (log y)) (+ (* (/ 1 z) (+ y x)) -1)) (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) z))) z)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 #s(approx (+ (* (/ (- -1/2 y) z) (log y)) (+ (* (/ 1 z) (+ y x)) -1)) (/.f64 #s(literal 1 binary64) (/.f64 z x))) z)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (-.f64 #s(literal 1 binary64) (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 (- (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) z) (-.f64 y #s(approx (+ (* (+ 1/2 y) (log y)) z) (*.f64 (log.f64 y) y)))) |
(-.f64 #s(approx (+ (- x (/ (log y) (/ 1 (+ 1/2 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)) |
(-.f64 #s(approx (+ (- x (/ (log y) (/ 1 (+ 1/2 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) (fma.f64 (/.f64 #s(approx (- y (+ (* (+ 1/2 y) (log y)) z)) (neg.f64 z)) x) x x)) |
3 calls:
| 7.0ms | z |
| 5.0ms | x |
| 5.0ms | (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 74.4% | 3 | (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) |
| 51.6% | 3 | z |
| 69.9% | 5 | x |
Compiled 12 to 15 computations (-25% saved)
| Inputs |
|---|
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 #s(approx (+ (* (/ (- -1/2 y) z) (log y)) (+ (* (/ 1 z) (+ y x)) -1)) (/.f64 x z)) z)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 #s(approx (+ (* (neg (log y)) (- 1 (/ -1/2 y))) (/ (- x z) y)) (/.f64 x y)) y y)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (+.f64 #s(approx (+ (* (neg (log y)) (- 1 (/ -1/2 y))) (/ (- x z) y)) (/.f64 x y)) #s(literal 1 binary64)) y)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+.f64 (*.f64 #s(approx (+ (* (neg (log y)) (- 1 (/ -1/2 y))) (/ (- x z) y)) (/.f64 x y)) y) y)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 #s(approx (+ (* (neg (log y)) (- 1 (/ -1/2 y))) (/ (- x z) y)) (/.f64 (neg.f64 z) y)) y y)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 (/.f64 #s(approx (- y (+ (* (+ 1/2 y) (log y)) z)) (neg.f64 z)) x) x x)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 #s(approx (+ (* (/ (- -1/2 y) z) (log y)) (+ (* (/ 1 z) (+ y x)) -1)) (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) z))) z)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 #s(approx (+ (* (/ (- -1/2 y) z) (log y)) (+ (* (/ 1 z) (+ y x)) -1)) (/.f64 #s(literal 1 binary64) (/.f64 z x))) z)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (-.f64 #s(literal 1 binary64) (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 (- (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) z) (-.f64 y #s(approx (+ (* (+ 1/2 y) (log y)) z) (*.f64 (log.f64 y) y)))) |
| Outputs |
|---|
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 (/.f64 #s(approx (- y (+ (* (+ 1/2 y) (log y)) z)) (neg.f64 z)) x) x x)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) |
3 calls:
| 6.0ms | (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) |
| 4.0ms | (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) |
| 4.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 66.5% | 2 | y |
| 59.4% | 4 | (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) |
| 60.6% | 3 | (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) 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 #s(approx (+ (* (/ (- -1/2 y) z) (log y)) (+ (* (/ 1 z) (+ y x)) -1)) (/.f64 x z)) z)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 #s(approx (+ (* (neg (log y)) (- 1 (/ -1/2 y))) (/ (- x z) y)) (/.f64 x y)) y y)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (+.f64 #s(approx (+ (* (neg (log y)) (- 1 (/ -1/2 y))) (/ (- x z) y)) (/.f64 x y)) #s(literal 1 binary64)) y)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+.f64 (*.f64 #s(approx (+ (* (neg (log y)) (- 1 (/ -1/2 y))) (/ (- x z) y)) (/.f64 x y)) y) y)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 #s(approx (+ (* (neg (log y)) (- 1 (/ -1/2 y))) (/ (- x z) y)) (/.f64 (neg.f64 z) y)) y y)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 (/.f64 #s(approx (- y (+ (* (+ 1/2 y) (log y)) z)) (neg.f64 z)) x) x x)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 #s(approx (+ (* (/ (- -1/2 y) z) (log y)) (+ (* (/ 1 z) (+ y x)) -1)) (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) z))) z)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 #s(approx (+ (* (/ (- -1/2 y) z) (log y)) (+ (* (/ 1 z) (+ y x)) -1)) (/.f64 #s(literal 1 binary64) (/.f64 z x))) z)) |
| Outputs |
|---|
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 (/.f64 #s(approx (- y (+ (* (+ 1/2 y) (log y)) z)) (neg.f64 z)) x) x x)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 (/.f64 #s(approx (- y (+ (* (+ 1/2 y) (log y)) z)) (neg.f64 z)) x) x x)) |
5 calls:
| 11.0ms | (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) |
| 4.0ms | (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) |
| 4.0ms | z |
| 4.0ms | y |
| 4.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 46.7% | 1 | z |
| 46.7% | 1 | (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) |
| 46.7% | 1 | (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) |
| 51.1% | 3 | x |
| 46.7% | 1 | 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 #s(approx (+ (* (/ (- -1/2 y) z) (log y)) (+ (* (/ 1 z) (+ y x)) -1)) (/.f64 x z)) z)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 #s(approx (+ (* (neg (log y)) (- 1 (/ -1/2 y))) (/ (- x z) y)) (/.f64 x y)) y y)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (+.f64 #s(approx (+ (* (neg (log y)) (- 1 (/ -1/2 y))) (/ (- x z) y)) (/.f64 x y)) #s(literal 1 binary64)) y)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+.f64 (*.f64 #s(approx (+ (* (neg (log y)) (- 1 (/ -1/2 y))) (/ (- x z) y)) (/.f64 x y)) y) y)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 #s(approx (+ (* (neg (log y)) (- 1 (/ -1/2 y))) (/ (- x z) y)) (/.f64 (neg.f64 z) y)) y y)) |
| Outputs |
|---|
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 #s(approx (+ (* (neg (log y)) (- 1 (/ -1/2 y))) (/ (- x z) y)) (/.f64 x y)) y y)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 #s(approx (+ (* (/ (- -1/2 y) z) (log y)) (+ (* (/ 1 z) (+ y x)) -1)) (/.f64 x z)) z)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z)) |
5 calls:
| 4.0ms | z |
| 3.0ms | (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) |
| 3.0ms | (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) |
| 3.0ms | y |
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 30.6% | 3 | y |
| 39.2% | 4 | z |
| 26.6% | 2 | (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) |
| 34.5% | 3 | (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) |
| 37.2% | 3 | x |
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 #s(approx (+ (* (/ (- -1/2 y) z) (log y)) (+ (* (/ 1 z) (+ y x)) -1)) (/.f64 x z)) z)) |
| Outputs |
|---|
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 #s(approx (+ (* (/ (- -1/2 y) z) (log y)) (+ (* (/ 1 z) (+ y x)) -1)) (/.f64 x z)) z)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 #s(approx (+ (* (/ (- -1/2 y) z) (log y)) (+ (* (/ 1 z) (+ y x)) -1)) (/.f64 x z)) z)) |
2 calls:
| 2.0ms | x |
| 2.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 35.0% | 3 | x |
| 33.6% | 3 | z |
Compiled 2 to 6 computations (-200% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z)) |
| Outputs |
|---|
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z)) |
5 calls:
| 1.0ms | (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) |
| 1.0ms | (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) |
| 1.0ms | x |
| 1.0ms | y |
| 1.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 24.1% | 1 | (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) |
| 24.1% | 1 | y |
| 24.1% | 1 | z |
| 24.1% | 1 | (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) |
| 24.1% | 1 | x |
Compiled 25 to 28 computations (-12% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 12.0ms | 1.0384663742605436e+128 | 1.84679505112897e+130 |
| 12.0ms | 5.242443480378396e+44 | 6.740962282889547e+45 |
| 16.0ms | 208× | 0 | valid |
Compiled 263 to 270 computations (-2.7% saved)
ival-log: 4.0ms (39.5% of total)ival-sub: 2.0ms (19.7% of total)ival-add: 2.0ms (19.7% of total)ival-mult: 1.0ms (9.9% 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 |
|---|---|---|
| 15.0ms | 1.253051998966059e+89 | 6.517418662037887e+90 |
| 10.0ms | 112× | 0 | valid |
Compiled 134 to 149 computations (-11.2% saved)
ival-sub: 4.0ms (54.1% of total)ival-log: 1.0ms (13.5% of total)ival-add: 1.0ms (13.5% of total)ival-mult: 1.0ms (13.5% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 12.0ms | 9.258146356132725e+117 | 2.4216948096948695e+119 |
| 7.0ms | 112× | 0 | valid |
Compiled 120 to 142 computations (-18.3% saved)
ival-sub: 1.0ms (22.7% of total)ival-log: 1.0ms (22.7% of total)ival-add: 1.0ms (22.7% of total)ival-mult: 1.0ms (22.7% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 19.0ms | 1.6065138127843554e+58 | 1.5096115249588255e+65 |
| 20.0ms | -7.373398279601148e+22 | -85310553266468780.0 |
| 19.0ms | 288× | 0 | valid |
Compiled 339 to 358 computations (-5.6% saved)
ival-log: 4.0ms (34.3% of total)ival-sub: 3.0ms (25.7% of total)ival-add: 3.0ms (25.7% of total)ival-mult: 2.0ms (17.2% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 355.11507926273686 | 492.1076132415909 |
| 0.0ms | -2.741104706119029e+51 | -1.4954814182295872e+49 |
Compiled 15 to 16 computations (-6.7% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 8.0ms | 9.258146356132725e+117 | 2.4216948096948695e+119 |
| 5.0ms | 80× | 0 | valid |
Compiled 127 to 142 computations (-11.8% saved)
ival-sub: 1.0ms (31.7% of total)ival-log: 1.0ms (31.7% of total)ival-add: 1.0ms (31.7% of total)ival-true: 0.0ms (0% of total)ival-mult: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 10.0ms | 2.133723592019864e-124 | 1.3144276968683637e-123 |
| 15.0ms | -3.5855014579741953 | -0.026482915640301814 |
| 17.0ms | 208× | 0 | valid |
Compiled 171 to 211 computations (-23.4% saved)
ival-log: 3.0ms (36% of total)ival-sub: 2.0ms (24% of total)ival-add: 2.0ms (24% of total)ival-mult: 1.0ms (12% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 20.0ms | 5.053632257262767e+130 | 4.079292735906598e+139 |
| 12.0ms | 1.3284624716005333e-14 | 2.448551457467837e-13 |
| 10.0ms | -9.860688016909262e-6 | -5.991727284996633e-6 |
| 29.0ms | 320× | 0 | valid |
Compiled 254 to 310 computations (-22% saved)
ival-log: 9.0ms (49.4% of total)ival-sub: 3.0ms (16.5% of total)ival-add: 3.0ms (16.5% of total)ival-mult: 2.0ms (11% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 17.0ms | 3.2179302362460354e+149 | 1.7815598089033479e+152 |
| 15.0ms | -7.317204439832958e+27 | -7.373398279601148e+22 |
| 21.0ms | 272× | 0 | valid |
Compiled 185 to 254 computations (-37.3% saved)
ival-log: 3.0ms (27.9% of total)ival-add: 3.0ms (27.9% of total)ival-sub: 2.0ms (18.6% of total)ival-mult: 2.0ms (18.6% 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 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 130 | 734 |
| 1 | 157 | 734 |
| 2 | 184 | 734 |
| 3 | 199 | 734 |
| 4 | 206 | 734 |
| 5 | 207 | 734 |
| 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 999999999999999929757289024535551219930759168 binary64)) (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z) (if (<=.f64 y #s(literal 999999999999999998217443564185241415988928868759412500436543339729940401905904649497115766142268560009777175966751665376232210432 binary64)) #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x))) #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z))))) |
(if (<=.f64 y #s(literal 1250000000000000099452906076600621428945282675208638144923304996685991344025220141767720960 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 140000000000000006517823696094853681352592614170309389532456032152450203231794681574444704999668474350119022535236386816 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 x #s(literal -80000000000000000000 binary64)) #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 (/.f64 #s(approx (- y (+ (* (+ 1/2 y) (log y)) z)) (neg.f64 z)) x) x x)) (if (<=.f64 x #s(literal 4200000000000000215600276059498843558733099881104863221776384 binary64)) #s(approx (- (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) z) #s(approx (- y (+ (* (+ 1/2 y) (log y)) z)) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y))) #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 (/.f64 #s(approx (- y (+ (* (+ 1/2 y) (log y)) z)) (neg.f64 z)) x) x x)))) |
(if (<=.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) #s(literal -1999999999999999986441897348723255952923416883888128 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 400 binary64)) (-.f64 #s(approx (+ (- x (/ (log y) (/ 1 (+ 1/2 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) (fma.f64 (/.f64 #s(approx (- y (+ (* (+ 1/2 y) (log y)) z)) (neg.f64 z)) x) x x)))) |
(if (<=.f64 y #s(literal 85000000000000003317323032006788532090519149869560907038521020311230613419307027823400893412609875032321551318791487488 binary64)) #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 (/.f64 #s(approx (- y (+ (* (+ 1/2 y) (log y)) z)) (neg.f64 z)) x) x x)) #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y))) |
(if (<=.f64 x #s(literal -8106479329266893/9007199254740992 binary64)) #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 (/.f64 #s(approx (- y (+ (* (+ 1/2 y) (log y)) z)) (neg.f64 z)) x) x x)) (if (<=.f64 x #s(literal 16048599032447/23258839177459420497578361852416145099316523541994177929007686373780457219628733546438113622840434097944400691400517693873107252115668992 binary64)) #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z)) #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 (/.f64 #s(approx (- y (+ (* (+ 1/2 y) (log y)) z)) (neg.f64 z)) x) x x)))) |
(if (<=.f64 z #s(literal -2833419889721787/295147905179352825856 binary64)) #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z)) (if (<=.f64 z #s(literal 2139160387885137/158456325028528675187087900672 binary64)) #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 #s(approx (+ (* (neg (log y)) (- 1 (/ -1/2 y))) (/ (- x z) y)) (/.f64 x y)) y y)) (if (<=.f64 z #s(literal 659999999999999965578070024154417499192252968885038102252088594766540039176524508835768660953125796225665783578908527217720892063744 binary64)) #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 #s(approx (+ (* (/ (- -1/2 y) z) (log y)) (+ (* (/ 1 z) (+ y x)) -1)) (/.f64 x z)) z)) #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z))))) |
(if (<=.f64 x #s(literal -25000000000000001191182336 binary64)) #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 #s(approx (+ (* (/ (- -1/2 y) z) (log y)) (+ (* (/ 1 z) (+ y x)) -1)) (/.f64 x z)) z)) (if (<=.f64 x #s(literal 480000000000000023508828756072249878194668961694757066597620339803280766524824682957391134038692702620694271047124932845785647800958040904209092575232 binary64)) #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z)) #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 #s(approx (+ (* (/ (- -1/2 y) z) (log y)) (+ (* (/ 1 z) (+ y x)) -1)) (/.f64 x z)) 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 999999999999999929757289024535551219930759168 binary64)) (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z) (if (<=.f64 y #s(literal 999999999999999998217443564185241415988928868759412500436543339729940401905904649497115766142268560009777175966751665376232210432 binary64)) #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x))) #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z))))) |
(if (<=.f64 y #s(literal 1250000000000000099452906076600621428945282675208638144923304996685991344025220141767720960 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 140000000000000006517823696094853681352592614170309389532456032152450203231794681574444704999668474350119022535236386816 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 x #s(literal -80000000000000000000 binary64)) #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 (/.f64 #s(approx (- y (+ (* (+ 1/2 y) (log y)) z)) (neg.f64 z)) x) x x)) (if (<=.f64 x #s(literal 4200000000000000215600276059498843558733099881104863221776384 binary64)) #s(approx (- (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) z) #s(approx (- y (+ (* (+ 1/2 y) (log y)) z)) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y))) #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 (/.f64 #s(approx (- y (+ (* (+ 1/2 y) (log y)) z)) (neg.f64 z)) x) x x)))) |
(if (<=.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) #s(literal -1999999999999999986441897348723255952923416883888128 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 400 binary64)) (-.f64 #s(approx (+ (- x (/ (log y) (/ 1 (+ 1/2 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) (fma.f64 (/.f64 #s(approx (- y (+ (* (+ 1/2 y) (log y)) z)) (neg.f64 z)) x) x x)))) |
(if (<=.f64 (+.f64 (-.f64 x (*.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y))) y) #s(literal -1999999999999999986441897348723255952923416883888128 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 400 binary64)) (-.f64 #s(approx (+ (- x (/ (log y) (/ 1 (+ 1/2 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) (fma.f64 (/.f64 #s(approx (- y (+ (* (+ 1/2 y) (log y)) z)) (neg.f64 z)) x) x x)))) |
(if (<=.f64 y #s(literal 85000000000000003317323032006788532090519149869560907038521020311230613419307027823400893412609875032321551318791487488 binary64)) #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 (/.f64 #s(approx (- y (+ (* (+ 1/2 y) (log y)) z)) (neg.f64 z)) x) x x)) #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y))) |
(if (<=.f64 x #s(literal -8106479329266893/9007199254740992 binary64)) #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 (/.f64 #s(approx (- y (+ (* (+ 1/2 y) (log y)) z)) (neg.f64 z)) x) x x)) (if (<=.f64 x #s(literal 16048599032447/23258839177459420497578361852416145099316523541994177929007686373780457219628733546438113622840434097944400691400517693873107252115668992 binary64)) #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z)) #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 (/.f64 #s(approx (- y (+ (* (+ 1/2 y) (log y)) z)) (neg.f64 z)) x) x x)))) |
(if (<=.f64 z #s(literal -2833419889721787/295147905179352825856 binary64)) #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z)) (if (<=.f64 z #s(literal 2139160387885137/158456325028528675187087900672 binary64)) #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 #s(approx (+ (* (neg (log y)) (- 1 (/ -1/2 y))) (/ (- x z) y)) (/.f64 x y)) y y)) (if (<=.f64 z #s(literal 659999999999999965578070024154417499192252968885038102252088594766540039176524508835768660953125796225665783578908527217720892063744 binary64)) #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 #s(approx (+ (* (/ (- -1/2 y) z) (log y)) (+ (* (/ 1 z) (+ y x)) -1)) (/.f64 x z)) z)) #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z))))) |
(if (<=.f64 x #s(literal -25000000000000001191182336 binary64)) #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 #s(approx (+ (* (/ (- -1/2 y) z) (log y)) (+ (* (/ 1 z) (+ y x)) -1)) (/.f64 x z)) z)) (if (<=.f64 x #s(literal 480000000000000023508828756072249878194668961694757066597620339803280766524824682957391134038692702620694271047124932845785647800958040904209092575232 binary64)) #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z)) #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 #s(approx (+ (* (/ (- -1/2 y) z) (log y)) (+ (* (/ 1 z) (+ y x)) -1)) (/.f64 x z)) z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 404 | 10929 |
| 1 | 1276 | 9910 |
| 2 | 4029 | 9345 |
| 0 | 8184 | 8798 |
| 0 | 10 | 36 |
| 0 | 16 | 36 |
| 1 | 79 | 36 |
| 2 | 699 | 36 |
| 0 | 8843 | 33 |
| 0 | 589 | 10803 |
| 1 | 1868 | 9844 |
| 2 | 6375 | 9405 |
| 0 | 8298 | 8816 |
| 0 | 127 | 1334 |
| 1 | 415 | 1196 |
| 2 | 1319 | 1105 |
| 3 | 4704 | 1074 |
| 0 | 8534 | 991 |
| 0 | 401 | 8141 |
| 1 | 1271 | 7493 |
| 2 | 3945 | 7227 |
| 0 | 8714 | 6787 |
| 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 452 to 285 computations (36.9% saved)
Compiled 614 to 232 computations (62.2% saved)
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