
Time bar (total: 7.5s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 100% | 49.9% | 0% | 0.1% | 0% | 49.9% | 0% | 3 |
Compiled 14 to 12 computations (14.3% saved)
| 1.2s | 8 256× | 0 | valid |
ival-sub: 261.0ms (32% of total)ival-add: 232.0ms (28.4% of total)ival-mult: 199.0ms (24.4% of total)ival-log: 109.0ms (13.4% of total)ival-true: 7.0ms (0.9% of total)exact: 5.0ms (0.6% of total)ival-assert: 3.0ms (0.4% 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 |
| 40.0ms | 512× | 0 | valid |
Compiled 106 to 34 computations (67.9% saved)
ival-log: 7.0ms (32.1% of total)ival-sub: 5.0ms (22.9% of total)ival-add: 5.0ms (22.9% of total)ival-mult: 4.0ms (18.3% 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 | 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 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) | |
| accuracy | 0.01171875 | (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) | |
| accuracy | 0.09765625 | (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) | |
| accuracy | 0.15234375 | (*.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: 3.0ms (28.9% of total)ival-add: 3.0ms (28.9% of total)ival-sub: 2.0ms (19.3% of total)ival-mult: 2.0ms (19.3% 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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9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | 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))) |
| 5.0ms | 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))) |
| 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)
12 alts after pruning (12 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 432 | 12 | 444 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 433 | 12 | 445 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.9% | (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))) |
| 71.7% | (fma.f64 (*.f64 (neg.f64 (log.f64 y)) (fma.f64 y y #s(literal -1/4 binary64))) (pow.f64 (-.f64 y #s(literal 1/2 binary64)) #s(literal -1 binary64)) (+.f64 x (-.f64 y z))) | |
| 99.7% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))))) | |
| 55.1% | (-.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x) #s(literal 2 binary64)) (*.f64 y y)) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (-.f64 x y))) z) | |
| ▶ | 99.7% | (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x))) y) z) |
| 99.7% | (-.f64 (+.f64 (-.f64 x (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) y)))) y) z) | |
| ▶ | 70.0% | (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z) |
| 64.5% | (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) z) | |
| 81.5% | #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)) | |
| ▶ | 76.0% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z))) |
| 32.0% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) | |
| ▶ | 34.1% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z)) |
Compiled 308 to 256 computations (16.9% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x)) | |
| cost-diff | 0 | (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x))) y) | |
| cost-diff | 0 | (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x))) y) z) | |
| cost-diff | 1408 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x))) | |
| cost-diff | 0 | (+.f64 #s(literal 1/2 binary64) y) | |
| cost-diff | 0 | (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z) | |
| cost-diff | 0 | (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) | |
| cost-diff | 0 | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z))) | |
| cost-diff | 0 | (log.f64 y) | |
| cost-diff | 0 | (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x) | |
| cost-diff | 0 | #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) | |
| cost-diff | 0 | (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z) | |
| cost-diff | 0 | (neg.f64 z) | |
| cost-diff | 0 | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z)) | |
| cost-diff | 0 | (+.f64 x (-.f64 y z)) | |
| cost-diff | 0 | (log.f64 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) (+.f64 x (-.f64 y z))) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 202 |
| 0 | 50 | 190 |
| 1 | 95 | 186 |
| 2 | 207 | 186 |
| 3 | 620 | 186 |
| 4 | 1600 | 186 |
| 5 | 2869 | 186 |
| 6 | 3910 | 186 |
| 7 | 4199 | 186 |
| 8 | 4245 | 186 |
| 9 | 4253 | 186 |
| 10 | 4295 | 186 |
| 11 | 4306 | 186 |
| 12 | 4306 | 186 |
| 13 | 4320 | 186 |
| 0 | 4320 | 186 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))) |
(-.f64 #s(literal -1/2 binary64) y) |
#s(literal -1/2 binary64) |
y |
(log.f64 y) |
(+.f64 x (-.f64 y z)) |
x |
(-.f64 y z) |
z |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z)) |
(neg.f64 z) |
z |
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z) |
#s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) |
(fma.f64 #s(literal -1/2 binary64) (log.f64 y) x) |
#s(literal -1/2 binary64) |
(log.f64 y) |
y |
x |
z |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z))) |
(-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) |
y |
(fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z) |
(+.f64 #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
(log.f64 y) |
z |
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x))) y) z) |
(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x))) y) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x))) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x)) |
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x) |
(-.f64 #s(literal -1/2 binary64) y) |
#s(literal -1/2 binary64) |
y |
(log.f64 y) |
x |
z |
| Outputs |
|---|
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))) |
(fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) (+.f64 (-.f64 y z) x)) |
(-.f64 #s(literal -1/2 binary64) y) |
#s(literal -1/2 binary64) |
y |
(log.f64 y) |
(+.f64 x (-.f64 y z)) |
(+.f64 (-.f64 y z) x) |
x |
(-.f64 y z) |
z |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z)) |
(neg.f64 z) |
z |
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z) |
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 (log.f64 y) #s(literal -1/2 binary64) x)) z) |
#s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) |
#s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 (log.f64 y) #s(literal -1/2 binary64) x)) |
(fma.f64 #s(literal -1/2 binary64) (log.f64 y) x) |
(fma.f64 (log.f64 y) #s(literal -1/2 binary64) x) |
#s(literal -1/2 binary64) |
(log.f64 y) |
y |
x |
z |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y (fma.f64 (-.f64 y #s(literal -1/2 binary64)) (log.f64 y) z))) |
(-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) |
(-.f64 y (fma.f64 (-.f64 y #s(literal -1/2 binary64)) (log.f64 y) z)) |
y |
(fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z) |
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) (log.f64 y) z) |
(+.f64 #s(literal 1/2 binary64) y) |
(-.f64 y #s(literal -1/2 binary64)) |
#s(literal 1/2 binary64) |
(log.f64 y) |
z |
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x))) y) z) |
(fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) (+.f64 (-.f64 y z) x)) |
(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x))) y) |
(+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x) y) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x))) |
(fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x)) |
(/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)) |
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x) |
(fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x) |
(-.f64 #s(literal -1/2 binary64) y) |
#s(literal -1/2 binary64) |
y |
(log.f64 y) |
x |
z |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.09765625 | (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x))) y) | |
| accuracy | 0.125 | (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x) | |
| accuracy | 0.2421875 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x))) | |
| accuracy | 0.3790737672290088 | (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x)) | |
| accuracy | 0 | (log.f64 y) | |
| accuracy | 0.08984375 | (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) | |
| accuracy | 0.10546875 | (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z) | |
| accuracy | 15.26562026278015 | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z))) | |
| accuracy | 0 | (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x) | |
| accuracy | 0 | (log.f64 y) | |
| accuracy | 0.01171875 | (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z) | |
| accuracy | 24.509898325778998 | #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) | |
| accuracy | 0 | (neg.f64 z) | |
| accuracy | 42.17019301864578 | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z)) | |
| accuracy | 0 | (-.f64 #s(literal -1/2 binary64) y) | |
| accuracy | 0 | (log.f64 y) | |
| accuracy | 0.00390625 | (+.f64 x (-.f64 y z)) | |
| accuracy | 0.09375 | (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))) |
| 64.0ms | 256× | 0 | valid |
Compiled 188 to 31 computations (83.5% saved)
ival-div: 13.0ms (27.3% of total)ival-add: 10.0ms (21% of total)ival-mult: 10.0ms (21% of total)ival-sub: 9.0ms (18.9% of total)ival-log: 4.0ms (8.4% of total)ival-neg: 1.0ms (2.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))) (patch (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal -1/2 binary64) y) (patch (-.f64 #s(literal -1/2 binary64) y) #<representation binary64>) () ()) |
#s(alt (log.f64 y) (patch (log.f64 y) #<representation binary64>) () ()) |
#s(alt (+.f64 x (-.f64 y z)) (patch (+.f64 x (-.f64 y z)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z)) (patch #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z)) #<representation binary64>) () ()) |
#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z) (patch (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) (patch #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x) (patch (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x) #<representation binary64>) () ()) |
#s(alt #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z))) (patch #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z))) #<representation binary64>) () ()) |
#s(alt (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) (patch (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z) (patch (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z) #<representation binary64>) () ()) |
#s(alt (+.f64 #s(literal 1/2 binary64) y) (patch (+.f64 #s(literal 1/2 binary64) y) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x))) #<representation binary64>) () ()) |
#s(alt (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x))) y) z) (patch (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x))) y) z) #<representation binary64>) () ()) |
#s(alt (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x))) y) (patch (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x))) y) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x) (patch (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) (taylor 0 z) (#s(alt (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))) (patch (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ y (+ (* -1 z) (* -1 (* (log y) (+ 1/2 y)))))) (taylor 0 z) (#s(alt (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))) (patch (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ y (+ (* -1 z) (* -1 (* (log y) (+ 1/2 y)))))) (taylor 0 z) (#s(alt (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))) (patch (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ y (+ (* -1 z) (* -1 (* (log y) (+ 1/2 y)))))) (taylor 0 z) (#s(alt (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))) (patch (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (+ x y) (taylor 0 z) (#s(alt (+.f64 x (-.f64 y z)) (patch (+.f64 x (-.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ y (* -1 z))) (taylor 0 z) (#s(alt (+.f64 x (-.f64 y z)) (patch (+.f64 x (-.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ y (* -1 z))) (taylor 0 z) (#s(alt (+.f64 x (-.f64 y z)) (patch (+.f64 x (-.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ y (* -1 z))) (taylor 0 z) (#s(alt (+.f64 x (-.f64 y z)) (patch (+.f64 x (-.f64 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) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z) (patch (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y))) (taylor 0 z) (#s(alt (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z) (patch (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y))) (taylor 0 z) (#s(alt (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z) (patch (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y))) (taylor 0 z) (#s(alt (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z) (patch (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x y) (* (log y) (+ 1/2 y))) (taylor 0 z) (#s(alt #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z))) (patch #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y))) (taylor 0 z) (#s(alt #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z))) (patch #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y))) (taylor 0 z) (#s(alt #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z))) (patch #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y))) (taylor 0 z) (#s(alt #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z))) (patch #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z))) #<representation binary64>) () ())) ()) |
#s(alt (- y (* (log y) (+ 1/2 y))) (taylor 0 z) (#s(alt (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) (patch (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ y (* -1 z)) (* (log y) (+ 1/2 y))) (taylor 0 z) (#s(alt (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) (patch (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ y (* -1 z)) (* (log y) (+ 1/2 y))) (taylor 0 z) (#s(alt (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) (patch (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ y (* -1 z)) (* (log y) (+ 1/2 y))) (taylor 0 z) (#s(alt (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) (patch (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) #<representation binary64>) () ())) ()) |
#s(alt (* (log y) (+ 1/2 y)) (taylor 0 z) (#s(alt (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z) (patch (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z) #<representation binary64>) () ())) ()) |
#s(alt (+ z (* (log y) (+ 1/2 y))) (taylor 0 z) (#s(alt (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z) (patch (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z) #<representation binary64>) () ())) ()) |
#s(alt (+ z (* (log y) (+ 1/2 y))) (taylor 0 z) (#s(alt (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z) (patch (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z) #<representation binary64>) () ())) ()) |
#s(alt (+ z (* (log y) (+ 1/2 y))) (taylor 0 z) (#s(alt (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z) (patch (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) (taylor 0 z) (#s(alt (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x))) y) z) (patch (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x))) y) z) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ y (+ (* -1 z) (* -1 (* (log y) (+ 1/2 y)))))) (taylor 0 z) (#s(alt (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x))) y) z) (patch (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x))) y) z) #<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 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x))) y) (patch (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x))) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (+ y (* -1 (* (log y) (+ 1/2 y)))) x)) 1))) (taylor -inf x) (#s(alt (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x))) y) (patch (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x))) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (+ y (* -1 (* (log y) (+ 1/2 y)))) x)) 1))) (taylor -inf x) (#s(alt (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x))) y) (patch (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x))) y) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (* -1 (/ (* (log y) (+ 1/2 y)) x)) 1) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (* -1 (/ (- (/ (* (pow (log y) 2) (pow (+ 1/2 y) 2)) x) (* -1 (* (log y) (+ 1/2 y)))) x)) 1) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow (log y) 3) (pow (+ 1/2 y) 3)) x)) (* (pow (log y) 2) (pow (+ 1/2 y) 2))) x)) (* -1 (* (log y) (+ 1/2 y)))) x)) 1) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x) (patch (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ (* (log y) (+ 1/2 y)) x) 1))) (taylor -inf x) (#s(alt (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x) (patch (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ (* (log y) (+ 1/2 y)) x) 1))) (taylor -inf x) (#s(alt (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x) (patch (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ (* (log y) (+ 1/2 y)) x) 1))) (taylor -inf x) (#s(alt (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x) (patch (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 32.0ms | y | @ | 0 | ((+ (* (- -1/2 y) (log y)) (+ x (- y z))) (- -1/2 y) (log y) (+ x (- y z)) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg z) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+ (- x (* (+ y 1/2) (log y))) y) (+ (* -1/2 (log y)) x) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (- y (+ (* (+ 1/2 y) (log y)) z)) (+ (* (+ 1/2 y) (log y)) z) (+ 1/2 y) (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) (- (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) z) (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) (/ 1 (+ (* (- -1/2 y) (log y)) x)) (+ (* (- -1/2 y) (log y)) x)) |
| 23.0ms | y | @ | -inf | ((+ (* (- -1/2 y) (log y)) (+ x (- y z))) (- -1/2 y) (log y) (+ x (- y z)) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg z) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+ (- x (* (+ y 1/2) (log y))) y) (+ (* -1/2 (log y)) x) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (- y (+ (* (+ 1/2 y) (log y)) z)) (+ (* (+ 1/2 y) (log y)) z) (+ 1/2 y) (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) (- (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) z) (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) (/ 1 (+ (* (- -1/2 y) (log y)) x)) (+ (* (- -1/2 y) (log y)) x)) |
| 8.0ms | y | @ | inf | ((+ (* (- -1/2 y) (log y)) (+ x (- y z))) (- -1/2 y) (log y) (+ x (- y z)) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg z) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+ (- x (* (+ y 1/2) (log y))) y) (+ (* -1/2 (log y)) x) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (- y (+ (* (+ 1/2 y) (log y)) z)) (+ (* (+ 1/2 y) (log y)) z) (+ 1/2 y) (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) (- (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) z) (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) (/ 1 (+ (* (- -1/2 y) (log y)) x)) (+ (* (- -1/2 y) (log y)) x)) |
| 7.0ms | z | @ | 0 | ((+ (* (- -1/2 y) (log y)) (+ x (- y z))) (- -1/2 y) (log y) (+ x (- y z)) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg z) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+ (- x (* (+ y 1/2) (log y))) y) (+ (* -1/2 (log y)) x) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (- y (+ (* (+ 1/2 y) (log y)) z)) (+ (* (+ 1/2 y) (log y)) z) (+ 1/2 y) (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) (- (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) z) (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) (/ 1 (+ (* (- -1/2 y) (log y)) x)) (+ (* (- -1/2 y) (log y)) x)) |
| 2.0ms | x | @ | 0 | ((+ (* (- -1/2 y) (log y)) (+ x (- y z))) (- -1/2 y) (log y) (+ x (- y z)) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg z) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+ (- x (* (+ y 1/2) (log y))) y) (+ (* -1/2 (log y)) x) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (- y (+ (* (+ 1/2 y) (log y)) z)) (+ (* (+ 1/2 y) (log y)) z) (+ 1/2 y) (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) (- (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) z) (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) (/ 1 (+ (* (- -1/2 y) (log y)) x)) (+ (* (- -1/2 y) (log y)) x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 419 | 6145 |
| 1 | 1327 | 5669 |
| 2 | 4383 | 5511 |
| 0 | 8215 | 5147 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) |
(+ x (+ y (+ (* -1 z) (* -1 (* (log y) (+ 1/2 y)))))) |
(+ x (+ y (+ (* -1 z) (* -1 (* (log y) (+ 1/2 y)))))) |
(+ x (+ y (+ (* -1 z) (* -1 (* (log y) (+ 1/2 y)))))) |
(+ x y) |
(+ x (+ y (* -1 z))) |
(+ x (+ y (* -1 z))) |
(+ x (+ y (* -1 z))) |
(- (+ x y) (* (log y) (+ 1/2 y))) |
(- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y))) |
(- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y))) |
(- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y))) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(- (+ x y) (* (log y) (+ 1/2 y))) |
(- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y))) |
(- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y))) |
(- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y))) |
(- (+ x y) (* (log y) (+ 1/2 y))) |
(- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y))) |
(- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y))) |
(- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y))) |
(- y (* (log y) (+ 1/2 y))) |
(- (+ y (* -1 z)) (* (log y) (+ 1/2 y))) |
(- (+ y (* -1 z)) (* (log y) (+ 1/2 y))) |
(- (+ y (* -1 z)) (* (log y) (+ 1/2 y))) |
(* (log y) (+ 1/2 y)) |
(+ z (* (log y) (+ 1/2 y))) |
(+ z (* (log y) (+ 1/2 y))) |
(+ z (* (log y) (+ 1/2 y))) |
(+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) |
(+ x (+ y (+ (* -1 z) (* -1 (* (log y) (+ 1/2 y)))))) |
(+ x (+ y (+ (* -1 z) (* -1 (* (log y) (+ 1/2 y)))))) |
(+ x (+ y (+ (* -1 z) (* -1 (* (log y) (+ 1/2 y)))))) |
(* -1 z) |
(* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z))) 1)) |
(* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z))) 1)) |
(* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z))) 1)) |
(* -1 z) |
(* z (- (+ (/ x z) (/ y z)) 1)) |
(* z (- (+ (/ x z) (/ y z)) 1)) |
(* z (- (+ (/ x z) (/ y z)) 1)) |
(* -1 z) |
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z)))) |
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z)))) |
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z)))) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z)))) |
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z)))) |
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z)))) |
(* -1 z) |
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z)))) |
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z)))) |
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z)))) |
(* -1 z) |
(* z (- (/ y z) (+ 1 (/ (* (log y) (+ 1/2 y)) z)))) |
(* z (- (/ y z) (+ 1 (/ (* (log y) (+ 1/2 y)) z)))) |
(* z (- (/ y z) (+ 1 (/ (* (log y) (+ 1/2 y)) z)))) |
z |
(* z (+ 1 (/ (* (log y) (+ 1/2 y)) z))) |
(* z (+ 1 (/ (* (log y) (+ 1/2 y)) z))) |
(* z (+ 1 (/ (* (log y) (+ 1/2 y)) z))) |
(* -1 z) |
(* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z))) 1)) |
(* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z))) 1)) |
(* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z))) 1)) |
(* -1 z) |
(* -1 (* z (+ 1 (* -1 (/ (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z))))) |
(* -1 z) |
(* -1 (* z (+ 1 (* -1 (/ (+ x y) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (+ x y) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (+ x y) z))))) |
(* -1 z) |
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z))))) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z))))) |
(* -1 z) |
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z))))) |
(* -1 z) |
(* -1 (* z (+ 1 (* -1 (/ (- y (* (log y) (+ 1/2 y))) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (- y (* (log y) (+ 1/2 y))) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (- y (* (log y) (+ 1/2 y))) z))))) |
z |
(* -1 (* z (- (* -1 (/ (* (log y) (+ 1/2 y)) z)) 1))) |
(* -1 (* z (- (* -1 (/ (* (log y) (+ 1/2 y)) z)) 1))) |
(* -1 (* z (- (* -1 (/ (* (log y) (+ 1/2 y)) z)) 1))) |
(* -1 z) |
(* -1 (* z (+ 1 (* -1 (/ (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z))))) |
(- (+ x (* -1/2 (log y))) z) |
(- (+ x (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y)))))) z) |
(- (+ x (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y)))))) z) |
(- (+ x (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y)))))) z) |
-1/2 |
(- (* -1 y) 1/2) |
(- (* -1 y) 1/2) |
(- (* -1 y) 1/2) |
(log y) |
(log y) |
(log y) |
(log y) |
(- x z) |
(- (+ x y) z) |
(- (+ x y) z) |
(- (+ x y) z) |
(- x (+ z (* 1/2 (log y)))) |
(- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y)))) |
(- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y)))) |
(- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y)))) |
(- x (+ z (* 1/2 (log y)))) |
(- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y)))) |
(- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y)))) |
(- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y)))) |
(- x (* 1/2 (log y))) |
(- (+ x (* y (- 1 (log y)))) (* 1/2 (log y))) |
(- (+ x (* y (- 1 (log y)))) (* 1/2 (log y))) |
(- (+ x (* y (- 1 (log y)))) (* 1/2 (log y))) |
(+ x (* -1/2 (log y))) |
(+ x (* -1/2 (log y))) |
(+ x (* -1/2 (log y))) |
(+ x (* -1/2 (log y))) |
(- x (+ z (* 1/2 (log y)))) |
(- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y)))) |
(- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y)))) |
(- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y)))) |
(* -1 (+ z (* 1/2 (log y)))) |
(- (* y (- 1 (log y))) (+ z (* 1/2 (log y)))) |
(- (* y (- 1 (log y))) (+ z (* 1/2 (log y)))) |
(- (* y (- 1 (log y))) (+ z (* 1/2 (log y)))) |
(+ z (* 1/2 (log y))) |
(+ z (+ (* 1/2 (log y)) (* y (log y)))) |
(+ z (+ (* 1/2 (log y)) (* y (log y)))) |
(+ z (+ (* 1/2 (log y)) (* y (log y)))) |
1/2 |
(+ 1/2 y) |
(+ 1/2 y) |
(+ 1/2 y) |
(+ 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 (* -1/2 (log y))) z) |
(- (+ x (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y)))))) z) |
(- (+ x (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y)))))) z) |
(- (+ x (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y)))))) z) |
(+ x (* -1/2 (log y))) |
(+ x (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y)))))) |
(+ x (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y)))))) |
(+ x (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y)))))) |
(/ 1 (+ x (* -1/2 (log y)))) |
(+ (/ 1 (+ x (* -1/2 (log y)))) (/ (* y (log y)) (pow (+ x (* -1/2 (log y))) 2))) |
(+ (* y (- (/ (* y (pow (log y) 2)) (pow (+ x (* -1/2 (log y))) 3)) (* -1 (/ (log y) (pow (+ x (* -1/2 (log y))) 2))))) (/ 1 (+ x (* -1/2 (log y))))) |
(+ (* y (- (* y (- (/ (* y (pow (log y) 3)) (pow (+ x (* -1/2 (log y))) 4)) (* -1 (/ (pow (log y) 2) (pow (+ x (* -1/2 (log y))) 3))))) (* -1 (/ (log y) (pow (+ x (* -1/2 (log y))) 2))))) (/ 1 (+ x (* -1/2 (log y))))) |
(+ x (* -1/2 (log y))) |
(+ x (+ (* -1 (* y (log y))) (* -1/2 (log y)))) |
(+ x (+ (* -1 (* y (log y))) (* -1/2 (log y)))) |
(+ x (+ (* -1 (* y (log y))) (* -1/2 (log y)))) |
(* y (+ 1 (log (/ 1 y)))) |
(* y (- (+ 1 (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y)))) (/ z y))) |
(* y (- (+ 1 (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y)))) (/ z y))) |
(* y (- (+ 1 (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y)))) (/ z y))) |
(* -1 y) |
(* -1 (* y (+ 1 (* 1/2 (/ 1 y))))) |
(* -1 (* y (+ 1 (* 1/2 (/ 1 y))))) |
(* -1 (* y (+ 1 (* 1/2 (/ 1 y))))) |
(* -1 (log (/ 1 y))) |
(* -1 (log (/ 1 y))) |
(* -1 (log (/ 1 y))) |
(* -1 (log (/ 1 y))) |
y |
(* y (- (+ 1 (/ x y)) (/ z y))) |
(* y (- (+ 1 (/ x y)) (/ z y))) |
(* y (- (+ 1 (/ x y)) (/ z y))) |
(* y (- 1 (* -1 (log (/ 1 y))))) |
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y))))) |
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y))))) |
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y))))) |
(* y (- 1 (* -1 (log (/ 1 y))))) |
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y))))) |
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y))))) |
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y))))) |
(* y (- 1 (* -1 (log (/ 1 y))))) |
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))))) |
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))))) |
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))))) |
(+ x (* 1/2 (log (/ 1 y)))) |
(+ x (* 1/2 (log (/ 1 y)))) |
(+ x (* 1/2 (log (/ 1 y)))) |
(+ x (* 1/2 (log (/ 1 y)))) |
(* 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))))) |
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(/ 1 (* y (log (/ 1 y)))) |
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(+ 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 (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))) |
(* -1 (* y (- (* -1 (/ (- x (+ z (* 1/2 (+ (log -1) (* -1 (log (/ -1 y))))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))))) |
(* -1 (* y (- (* -1 (/ (- x (+ z (* 1/2 (+ (log -1) (* -1 (log (/ -1 y))))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))))) |
(* -1 (* y (- (* -1 (/ (- x (+ z (* 1/2 (+ (log -1) (* -1 (log (/ -1 y))))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))))) |
(* y (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))) |
(* -1 (* y (- (+ (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y)) (/ z y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))))) |
(* -1 (* y (- (+ (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y)) (/ z y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))))) |
(* -1 (* y (- (+ (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y)) (/ z y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))))) |
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(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1 (/ (+ z (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y))))) |
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1 (/ (+ z (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y))))) |
y |
(* y (+ 1 (* 1/2 (/ 1 y)))) |
(* y (+ 1 (* 1/2 (/ 1 y)))) |
(* y (+ 1 (* 1/2 (/ 1 y)))) |
(* -1 (* y (+ (log -1) (* -1 (log (/ -1 y)))))) |
(* -1 (* y (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)))))) |
(* -1 (* y (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)))))) |
(* -1 (* y (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)))))) |
(* -1 (* y (- (+ (log -1) (* -1 (log (/ -1 y)))) 1))) |
(* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) z) y)))) 1))) |
(* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) z) y)))) 1))) |
(* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) z) y)))) 1))) |
(* -1 (* y (- (+ (log -1) (* -1 (log (/ -1 y)))) 1))) |
(* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)))) 1))) |
(* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)))) 1))) |
(* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)))) 1))) |
(/ -1 (* y (+ (log -1) (* -1 (log (/ -1 y)))))) |
(* -1 (/ (+ (* -1 (/ (- (* 1/2 (/ 1 (+ (log -1) (* -1 (log (/ -1 y)))))) (/ x (pow (+ (log -1) (* -1 (log (/ -1 y)))) 2))) y)) (/ 1 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) |
(* -1 (/ (+ (* -1 (/ (- (+ (* 1/2 (/ 1 (+ (log -1) (* -1 (log (/ -1 y)))))) (/ (* (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) (- (* 1/2 (/ 1 (+ (log -1) (* -1 (log (/ -1 y)))))) (/ x (pow (+ (log -1) (* -1 (log (/ -1 y)))) 2)))) (* y (+ (log -1) (* -1 (log (/ -1 y))))))) (/ x (pow (+ (log -1) (* -1 (log (/ -1 y)))) 2))) y)) (/ 1 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) |
(* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) 2) (- (* 1/2 (/ 1 (+ (log -1) (* -1 (log (/ -1 y)))))) (/ x (pow (+ (log -1) (* -1 (log (/ -1 y)))) 2)))) (* y (pow (+ (log -1) (* -1 (log (/ -1 y)))) 2)))) (/ (* (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) (- (* 1/2 (/ 1 (+ (log -1) (* -1 (log (/ -1 y)))))) (/ x (pow (+ (log -1) (* -1 (log (/ -1 y)))) 2)))) (+ (log -1) (* -1 (log (/ -1 y)))))) y)) (* 1/2 (/ 1 (+ (log -1) (* -1 (log (/ -1 y))))))) (/ x (pow (+ (log -1) (* -1 (log (/ -1 y)))) 2))) y)) (/ 1 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) |
(* -1 (* y (+ (log -1) (* -1 (log (/ -1 y)))))) |
(* -1 (* y (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)))))) |
(* -1 (* y (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)))))) |
(* -1 (* y (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)))))) |
(- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) |
(- (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z) |
(- (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z) |
(- (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z) |
(- y z) |
(- (+ x y) z) |
(- (+ x y) z) |
(- (+ x y) z) |
(- y (+ z (* (log y) (+ 1/2 y)))) |
(- (+ x y) (+ z (* (log y) (+ 1/2 y)))) |
(- (+ x y) (+ z (* (log y) (+ 1/2 y)))) |
(- (+ x y) (+ z (* (log y) (+ 1/2 y)))) |
(- y (+ z (* (log y) (+ 1/2 y)))) |
(- (+ x y) (+ z (* (log y) (+ 1/2 y)))) |
(- (+ x y) (+ z (* (log y) (+ 1/2 y)))) |
(- (+ x y) (+ z (* (log y) (+ 1/2 y)))) |
(- y (* (log y) (+ 1/2 y))) |
(- (+ x y) (* (log y) (+ 1/2 y))) |
(- (+ x y) (* (log y) (+ 1/2 y))) |
(- (+ x y) (* (log y) (+ 1/2 y))) |
(* -1/2 (log y)) |
(+ x (* -1/2 (log y))) |
(+ x (* -1/2 (log y))) |
(+ x (* -1/2 (log y))) |
(- y (+ z (* (log y) (+ 1/2 y)))) |
(- (+ x y) (+ z (* (log y) (+ 1/2 y)))) |
(- (+ x y) (+ z (* (log y) (+ 1/2 y)))) |
(- (+ x y) (+ z (* (log y) (+ 1/2 y)))) |
(* -1 (* (log y) (+ 1/2 y))) |
(+ x (* -1 (* (log y) (+ 1/2 y)))) |
(+ x (* -1 (* (log y) (+ 1/2 y)))) |
(+ x (* -1 (* (log y) (+ 1/2 y)))) |
(- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) |
(- (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z) |
(- (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z) |
(- (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z) |
(+ 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))))) |
(/ -1 (* (log y) (+ 1/2 y))) |
(- (* -1 (/ x (* (pow (log y) 2) (pow (+ 1/2 y) 2)))) (/ 1 (* (log y) (+ 1/2 y)))) |
(- (* x (- (* -1 (/ x (* (pow (log y) 3) (pow (+ 1/2 y) 3)))) (/ 1 (* (pow (log y) 2) (pow (+ 1/2 y) 2))))) (/ 1 (* (log y) (+ 1/2 y)))) |
(- (* x (- (* x (- (* -1 (/ x (* (pow (log y) 4) (pow (+ 1/2 y) 4)))) (/ 1 (* (pow (log y) 3) (pow (+ 1/2 y) 3))))) (/ 1 (* (pow (log y) 2) (pow (+ 1/2 y) 2))))) (/ 1 (* (log y) (+ 1/2 y)))) |
(* -1 (* (log y) (+ 1/2 y))) |
(+ x (* -1 (* (log y) (+ 1/2 y)))) |
(+ x (* -1 (* (log y) (+ 1/2 y)))) |
(+ x (* -1 (* (log y) (+ 1/2 y)))) |
x |
(* x (- (+ 1 (+ (* -1 (/ (* (log y) (+ 1/2 y)) x)) (/ y x))) (/ z x))) |
(* x (- (+ 1 (+ (* -1 (/ (* (log y) (+ 1/2 y)) x)) (/ y x))) (/ z x))) |
(* x (- (+ 1 (+ (* -1 (/ (* (log y) (+ 1/2 y)) x)) (/ y x))) (/ z x))) |
x |
(* x (- (+ 1 (/ y x)) (/ z x))) |
(* x (- (+ 1 (/ y x)) (/ z x))) |
(* x (- (+ 1 (/ y x)) (/ z x))) |
x |
(* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x)))) |
(* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x)))) |
(* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x)))) |
x |
(* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x)))) |
(* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x)))) |
(* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x)))) |
x |
(* x (- (+ 1 (/ y x)) (/ (* (log y) (+ 1/2 y)) x))) |
(* x (- (+ 1 (/ y x)) (/ (* (log y) (+ 1/2 y)) x))) |
(* x (- (+ 1 (/ y x)) (/ (* (log y) (+ 1/2 y)) x))) |
x |
(* x (+ 1 (* -1/2 (/ (log y) x)))) |
(* x (+ 1 (* -1/2 (/ (log y) x)))) |
(* x (+ 1 (* -1/2 (/ (log y) x)))) |
x |
(* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x)))) |
(* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x)))) |
(* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x)))) |
x |
(* x (+ 1 (* -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 (+ (* -1 (/ (* (log y) (+ 1/2 y)) x)) (/ y x))) (/ z x))) |
(* x (- (+ 1 (+ (* -1 (/ (* (log y) (+ 1/2 y)) x)) (/ y x))) (/ z x))) |
(* x (- (+ 1 (+ (* -1 (/ (* (log y) (+ 1/2 y)) x)) (/ y x))) (/ z x))) |
x |
(* x (+ 1 (+ (* -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)))) |
(/ 1 x) |
(/ (+ 1 (/ (* (log y) (+ 1/2 y)) x)) x) |
(/ (- (+ 1 (/ (* (pow (log y) 2) (pow (+ 1/2 y) 2)) (pow x 2))) (* -1 (/ (* (log y) (+ 1/2 y)) x))) x) |
(/ (- (+ 1 (/ (* (pow (log y) 3) (pow (+ 1/2 y) 3)) (pow x 3))) (+ (* -1 (/ (* (log y) (+ 1/2 y)) x)) (* -1 (/ (* (pow (log y) 2) (pow (+ 1/2 y) 2)) (pow x 2))))) x) |
x |
(* x (+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x)))) |
(* x (+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x)))) |
(* x (+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x)))) |
x |
(* -1 (* x (- (* -1 (/ (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) x)) 1))) |
x |
(* -1 (* x (- (* -1 (/ (- y z) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- y z) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- y z) x)) 1))) |
x |
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1))) |
x |
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1))) |
x |
(* -1 (* x (- (* -1 (/ (- y (* (log y) (+ 1/2 y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- y (* (log y) (+ 1/2 y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- y (* (log y) (+ 1/2 y))) x)) 1))) |
x |
(* -1 (* x (- (* 1/2 (/ (log y) x)) 1))) |
(* -1 (* x (- (* 1/2 (/ (log y) x)) 1))) |
(* -1 (* x (- (* 1/2 (/ (log y) x)) 1))) |
x |
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1))) |
x |
(* -1 (* x (- (/ (* (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 (* -1 (* (log y) (+ 1/2 y)))) z) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) x)) 1))) |
x |
(* -1 (* x (- (* -1 (/ (+ y (* -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))) |
(/ 1 x) |
(* -1 (/ (- (* -1 (/ (* (log y) (+ 1/2 y)) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (/ (* (pow (log y) 2) (pow (+ 1/2 y) 2)) x) (* -1 (* (log y) (+ 1/2 y)))) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow (log y) 3) (pow (+ 1/2 y) 3)) x)) (* (pow (log y) 2) (pow (+ 1/2 y) 2))) x)) (* -1 (* (log y) (+ 1/2 y)))) x)) 1) 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))) |
| Outputs |
|---|
(+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) |
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x)) |
(+ x (+ y (+ (* -1 z) (* -1 (* (log y) (+ 1/2 y)))))) |
(+.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x) |
(+ x (+ y (+ (* -1 z) (* -1 (* (log y) (+ 1/2 y)))))) |
(+.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x) |
(+ x (+ y (+ (* -1 z) (* -1 (* (log y) (+ 1/2 y)))))) |
(+.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x) |
(+ x y) |
(+.f64 y x) |
(+ x (+ y (* -1 z))) |
(-.f64 (+.f64 y x) z) |
(+ x (+ y (* -1 z))) |
(-.f64 (+.f64 y x) z) |
(+ x (+ y (* -1 z))) |
(-.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))) |
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(*.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 (* -1 (* (log y) (+ 1/2 y)))) z) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x))) |
(* -1 (* x (- (* -1 (/ (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x))) |
(* -1 (* x (- (* -1 (/ (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x))) |
x |
(* -1 (* x (- (* -1 (/ (- y z) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 y z) x))) |
(* -1 (* x (- (* -1 (/ (- y z) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 y z) x))) |
(* -1 (* x (- (* -1 (/ (- y z) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 y z) x))) |
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 (- (* 1/2 (/ (log y) x)) 1))) |
(fma.f64 (*.f64 (/.f64 (log.f64 y) x) #s(literal -1/2 binary64)) x x) |
(* -1 (* x (- (* 1/2 (/ (log y) x)) 1))) |
(fma.f64 (*.f64 (/.f64 (log.f64 y) x) #s(literal -1/2 binary64)) x x) |
(* -1 (* x (- (* 1/2 (/ (log y) x)) 1))) |
(fma.f64 (*.f64 (/.f64 (log.f64 y) x) #s(literal -1/2 binary64)) x x) |
x |
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x))) |
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x))) |
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x))) |
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 (* -1 (* (log y) (+ 1/2 y)))) z) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x))) |
(* -1 (* x (- (* -1 (/ (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x))) |
(* -1 (* x (- (* -1 (/ (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x))) |
x |
(* -1 (* x (- (* -1 (/ (+ y (* -1 (* (log y) (+ 1/2 y)))) 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))) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(* -1 (/ (- (* -1 (/ (* (log y) (+ 1/2 y)) x)) 1) x)) |
(/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (/.f64 (log.f64 y) x) #s(literal 1 binary64)) x) |
(* -1 (/ (- (* -1 (/ (- (/ (* (pow (log y) 2) (pow (+ 1/2 y) 2)) x) (* -1 (* (log y) (+ 1/2 y)))) x)) 1) x)) |
(/.f64 (+.f64 (/.f64 (*.f64 (log.f64 y) (fma.f64 (log.f64 y) (/.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)) x) (+.f64 #s(literal 1/2 binary64) y))) x) #s(literal 1 binary64)) x) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow (log y) 3) (pow (+ 1/2 y) 3)) x)) (* (pow (log y) 2) (pow (+ 1/2 y) 2))) x)) (* -1 (* (log y) (+ 1/2 y)))) x)) 1) x)) |
(/.f64 (+.f64 (/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) (/.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (fma.f64 (log.f64 y) (/.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal 3 binary64)) x) (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)))) x)) x) #s(literal 1 binary64)) 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) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 173 |
| 0 | 50 | 161 |
| 1 | 280 | 157 |
| 2 | 2668 | 157 |
| 0 | 9091 | 157 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))) |
(-.f64 #s(literal -1/2 binary64) y) |
(log.f64 y) |
(+.f64 x (-.f64 y z)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z)) |
(neg.f64 z) |
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z) |
#s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) |
(fma.f64 #s(literal -1/2 binary64) (log.f64 y) x) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z))) |
(-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) |
(fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z) |
(+.f64 #s(literal 1/2 binary64) y) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x))) |
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x))) y) z) |
(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x))) y) |
(/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x)) |
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x) |
| Outputs |
|---|
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#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
Compiled 80 030 to 3 948 computations (95.1% saved)
18 alts after pruning (16 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 987 | 15 | 2 002 |
| Fresh | 6 | 1 | 7 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 996 | 18 | 2 014 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 76.0% | (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) #s(approx (+ x (- y z)) (-.f64 y z))) |
| 49.6% | (-.f64 (/.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) (log.f64 y)) (-.f64 x y) (*.f64 (-.f64 y #s(literal 1/2 binary64)) (-.f64 (*.f64 x x) (*.f64 y y)))) (*.f64 (-.f64 y #s(literal 1/2 binary64)) (-.f64 x y))) z) | |
| ▶ | 64.5% | (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (- -1/2 y) (log y)) x) (*.f64 (neg.f64 (log.f64 y)) y)))) y) z) |
| 57.2% | (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- -1/2 y) (log y)) x)) (/.f64 #s(literal 1 binary64) x))) y) z) | |
| ▶ | 99.7% | (-.f64 (+.f64 (-.f64 x (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) y)))) y) z) |
| 88.9% | (-.f64 (+.f64 #s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) y) x) (log.f64 y) #s(literal 1 binary64)) x)) y) z) | |
| 64.5% | (-.f64 #s(approx (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) z) | |
| ✓ | 70.0% | (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z) |
| ▶ | 46.0% | (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) #s(approx (+ (* -1/2 (log y)) x) (*.f64 #s(literal -1/2 binary64) (log.f64 y)))) z) |
| 32.0% | #s(approx (- (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) z) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) | |
| ▶ | 13.3% | #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))) |
| 51.5% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y #s(literal 1/2 binary64)) (fma.f64 y y #s(literal -1/4 binary64)))) (log.f64 y) z))) | |
| 66.1% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y #s(approx (+ (* (+ 1/2 y) (log y)) z) (fma.f64 (*.f64 z (log.f64 y)) (/.f64 (+.f64 #s(literal 1/2 binary64) y) z) z)))) | |
| 42.8% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y #s(approx (+ (* (+ 1/2 y) (log y)) z) (*.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y))))) | |
| 31.9% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y #s(approx (+ (* (+ 1/2 y) (log y)) z) (*.f64 (log.f64 y) y)))) | |
| ✓ | 34.1% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z)) |
| 66.2% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (- y (+ (* (+ 1/2 y) (log y)) z)) (fma.f64 (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y) z) z (neg.f64 z)))) | |
| 42.8% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (- y (+ (* (+ 1/2 y) (log y)) z)) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y))) |
Compiled 421 to 359 computations (14.7% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) #s(approx (+ (* (- -1/2 y) (log y)) x) (*.f64 (neg.f64 (log.f64 y)) y))) | |
| cost-diff | 0 | (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (- -1/2 y) (log y)) x) (*.f64 (neg.f64 (log.f64 y)) y)))) y) | |
| cost-diff | 0 | (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (- -1/2 y) (log y)) x) (*.f64 (neg.f64 (log.f64 y)) y)))) y) z) | |
| cost-diff | 1408 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (- -1/2 y) (log y)) x) (*.f64 (neg.f64 (log.f64 y)) y)))) | |
| cost-diff | 0 | #s(approx (+ x (- y z)) (-.f64 y z)) | |
| cost-diff | 0 | (log.f64 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) #s(approx (+ x (- y z)) (-.f64 y z))) | |
| cost-diff | 0 | (*.f64 #s(literal -1/2 binary64) (log.f64 y)) | |
| cost-diff | 0 | #s(approx (+ (* -1/2 (log y)) x) (*.f64 #s(literal -1/2 binary64) (log.f64 y))) | |
| cost-diff | 0 | #s(approx (+ (- x (* (+ y 1/2) (log y))) y) #s(approx (+ (* -1/2 (log y)) x) (*.f64 #s(literal -1/2 binary64) (log.f64 y)))) | |
| cost-diff | 0 | (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) #s(approx (+ (* -1/2 (log y)) x) (*.f64 #s(literal -1/2 binary64) (log.f64 y)))) z) | |
| cost-diff | 0 | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z))) | |
| cost-diff | 64 | (-.f64 #s(literal 0 binary64) (*.f64 z z)) | |
| cost-diff | 192 | (+.f64 #s(literal 0 binary64) z) | |
| cost-diff | 1024 | (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z)) | |
| cost-diff | 0 | (+.f64 (-.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 | 47 | 307 |
| 0 | 71 | 286 |
| 1 | 134 | 278 |
| 2 | 287 | 270 |
| 3 | 653 | 270 |
| 4 | 1597 | 270 |
| 5 | 3451 | 270 |
| 6 | 5279 | 270 |
| 7 | 6323 | 270 |
| 8 | 7290 | 270 |
| 0 | 8267 | 256 |
| 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) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z)) |
(-.f64 #s(literal 0 binary64) (*.f64 z z)) |
#s(literal 0 binary64) |
(*.f64 z z) |
z |
(+.f64 #s(literal 0 binary64) z) |
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) #s(approx (+ (* -1/2 (log y)) x) (*.f64 #s(literal -1/2 binary64) (log.f64 y)))) z) |
#s(approx (+ (- x (* (+ y 1/2) (log y))) y) #s(approx (+ (* -1/2 (log y)) x) (*.f64 #s(literal -1/2 binary64) (log.f64 y)))) |
#s(approx (+ (* -1/2 (log y)) x) (*.f64 #s(literal -1/2 binary64) (log.f64 y))) |
(*.f64 #s(literal -1/2 binary64) (log.f64 y)) |
#s(literal -1/2 binary64) |
(log.f64 y) |
y |
z |
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) #s(approx (+ x (- y z)) (-.f64 y z))) |
(-.f64 #s(literal -1/2 binary64) y) |
#s(literal -1/2 binary64) |
y |
(log.f64 y) |
#s(approx (+ x (- y z)) (-.f64 y z)) |
(-.f64 y z) |
z |
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (- -1/2 y) (log y)) x) (*.f64 (neg.f64 (log.f64 y)) y)))) y) z) |
(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (- -1/2 y) (log y)) x) (*.f64 (neg.f64 (log.f64 y)) y)))) y) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (- -1/2 y) (log y)) x) (*.f64 (neg.f64 (log.f64 y)) y)))) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) #s(approx (+ (* (- -1/2 y) (log y)) x) (*.f64 (neg.f64 (log.f64 y)) y))) |
#s(approx (+ (* (- -1/2 y) (log y)) x) (*.f64 (neg.f64 (log.f64 y)) y)) |
(*.f64 (neg.f64 (log.f64 y)) y) |
(neg.f64 (log.f64 y)) |
(log.f64 y) |
y |
z |
| Outputs |
|---|
(-.f64 (+.f64 (-.f64 x (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) y)))) y) z) |
(-.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y) (-.f64 z x)) |
(+.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) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z)) |
(neg.f64 z) |
(-.f64 #s(literal 0 binary64) (*.f64 z z)) |
(*.f64 (neg.f64 z) z) |
#s(literal 0 binary64) |
(*.f64 z z) |
z |
(+.f64 #s(literal 0 binary64) z) |
z |
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) #s(approx (+ (* -1/2 (log y)) x) (*.f64 #s(literal -1/2 binary64) (log.f64 y)))) z) |
#s(approx (+ (- x (* (+ y 1/2) (log y))) y) #s(approx (+ (* -1/2 (log y)) x) (*.f64 #s(literal -1/2 binary64) (log.f64 y)))) |
#s(approx (+ (* -1/2 (log y)) x) (*.f64 #s(literal -1/2 binary64) (log.f64 y))) |
(*.f64 #s(literal -1/2 binary64) (log.f64 y)) |
#s(literal -1/2 binary64) |
(log.f64 y) |
y |
z |
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) #s(approx (+ x (- y z)) (-.f64 y z))) |
(-.f64 #s(literal -1/2 binary64) y) |
#s(literal -1/2 binary64) |
y |
(log.f64 y) |
#s(approx (+ x (- y z)) (-.f64 y z)) |
(-.f64 y z) |
z |
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (- -1/2 y) (log y)) x) (*.f64 (neg.f64 (log.f64 y)) y)))) y) z) |
(-.f64 #s(approx (+ (* (- -1/2 y) (log y)) x) (*.f64 (neg.f64 y) (log.f64 y))) (-.f64 z y)) |
(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (- -1/2 y) (log y)) x) (*.f64 (neg.f64 (log.f64 y)) y)))) y) |
(+.f64 #s(approx (+ (* (- -1/2 y) (log y)) x) (*.f64 (neg.f64 y) (log.f64 y))) y) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (- -1/2 y) (log y)) x) (*.f64 (neg.f64 (log.f64 y)) y)))) |
#s(approx (+ (* (- -1/2 y) (log y)) x) (*.f64 (neg.f64 y) (log.f64 y))) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) #s(approx (+ (* (- -1/2 y) (log y)) x) (*.f64 (neg.f64 (log.f64 y)) y))) |
(/.f64 #s(literal 1 binary64) #s(approx (+ (* (- -1/2 y) (log y)) x) (*.f64 (neg.f64 y) (log.f64 y)))) |
#s(approx (+ (* (- -1/2 y) (log y)) x) (*.f64 (neg.f64 (log.f64 y)) y)) |
#s(approx (+ (* (- -1/2 y) (log y)) x) (*.f64 (neg.f64 y) (log.f64 y))) |
(*.f64 (neg.f64 (log.f64 y)) y) |
(*.f64 (neg.f64 y) (log.f64 y)) |
(neg.f64 (log.f64 y)) |
(log.f64 y) |
y |
z |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.2421875 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (- -1/2 y) (log y)) x) (*.f64 (neg.f64 (log.f64 y)) y)))) | |
| accuracy | 0.30078125 | (*.f64 (neg.f64 (log.f64 y)) y) | |
| accuracy | 0.3790737672290088 | (/.f64 #s(literal 1 binary64) #s(approx (+ (* (- -1/2 y) (log y)) x) (*.f64 (neg.f64 (log.f64 y)) y))) | |
| accuracy | 37.094672255762994 | #s(approx (+ (* (- -1/2 y) (log y)) x) (*.f64 (neg.f64 (log.f64 y)) y)) | |
| accuracy | 0 | (-.f64 #s(literal -1/2 binary64) y) | |
| accuracy | 0 | (log.f64 y) | |
| accuracy | 0.09375 | (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) #s(approx (+ x (- y z)) (-.f64 y z))) | |
| accuracy | 17.598750571671292 | #s(approx (+ x (- y z)) (-.f64 y z)) | |
| accuracy | 0 | (log.f64 y) | |
| accuracy | 0.01171875 | (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) #s(approx (+ (* -1/2 (log y)) x) (*.f64 #s(literal -1/2 binary64) (log.f64 y)))) z) | |
| accuracy | 24.509898325778998 | #s(approx (+ (- x (* (+ y 1/2) (log y))) y) #s(approx (+ (* -1/2 (log y)) x) (*.f64 #s(literal -1/2 binary64) (log.f64 y)))) | |
| accuracy | 30.925189283568482 | #s(approx (+ (* -1/2 (log y)) x) (*.f64 #s(literal -1/2 binary64) (log.f64 y))) | |
| accuracy | 0 | (+.f64 #s(literal 0 binary64) z) | |
| accuracy | 0 | (*.f64 z z) | |
| accuracy | 30.733738286848475 | (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z)) | |
| accuracy | 42.17019301864578 | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z))) | |
| accuracy | 0.01171875 | (-.f64 (+.f64 (-.f64 x (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) y)))) y) z) | |
| accuracy | 0.015625 | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) y)) | |
| accuracy | 0.09765625 | (+.f64 (-.f64 x (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) y)))) y) | |
| accuracy | 0.197597509768442 | (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) y))) |
| 147.0ms | 256× | 0 | valid |
Compiled 233 to 39 computations (83.3% saved)
ival-div: 63.0ms (65.4% of total)ival-add: 11.0ms (11.4% of total)ival-sub: 9.0ms (9.3% of total)ival-mult: 8.0ms (8.3% of total)ival-log: 4.0ms (4.2% of total)ival-neg: 1.0ms (1% 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 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z)) (patch (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z)) #<representation binary64>) () ()) |
#s(alt (+.f64 #s(literal 0 binary64) z) (patch (+.f64 #s(literal 0 binary64) z) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 0 binary64) (*.f64 z z)) (patch (-.f64 #s(literal 0 binary64) (*.f64 z z)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z))) (patch #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z))) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) #s(approx (+ (* -1/2 (log y)) x) (*.f64 #s(literal -1/2 binary64) (log.f64 y)))) z) (patch (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) #s(approx (+ (* -1/2 (log y)) x) (*.f64 #s(literal -1/2 binary64) (log.f64 y)))) z) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (- x (* (+ y 1/2) (log y))) y) #s(approx (+ (* -1/2 (log y)) x) (*.f64 #s(literal -1/2 binary64) (log.f64 y)))) (patch #s(approx (+ (- x (* (+ y 1/2) (log y))) y) #s(approx (+ (* -1/2 (log y)) x) (*.f64 #s(literal -1/2 binary64) (log.f64 y)))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* -1/2 (log y)) x) (*.f64 #s(literal -1/2 binary64) (log.f64 y))) (patch #s(approx (+ (* -1/2 (log y)) x) (*.f64 #s(literal -1/2 binary64) (log.f64 y))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal -1/2 binary64) (log.f64 y)) (patch (*.f64 #s(literal -1/2 binary64) (log.f64 y)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) #s(approx (+ x (- y z)) (-.f64 y z))) (patch (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) #s(approx (+ x (- y z)) (-.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 (log.f64 y) (patch (log.f64 y) #<representation binary64>) () ()) |
#s(alt #s(approx (+ x (- y z)) (-.f64 y z)) (patch #s(approx (+ x (- y z)) (-.f64 y z)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (- -1/2 y) (log y)) x) (*.f64 (neg.f64 (log.f64 y)) y)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (- -1/2 y) (log y)) x) (*.f64 (neg.f64 (log.f64 y)) y)))) #<representation binary64>) () ()) |
#s(alt (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (- -1/2 y) (log y)) x) (*.f64 (neg.f64 (log.f64 y)) y)))) y) z) (patch (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (- -1/2 y) (log y)) x) (*.f64 (neg.f64 (log.f64 y)) y)))) y) z) #<representation binary64>) () ()) |
#s(alt (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (- -1/2 y) (log y)) x) (*.f64 (neg.f64 (log.f64 y)) y)))) y) (patch (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (- -1/2 y) (log y)) x) (*.f64 (neg.f64 (log.f64 y)) y)))) y) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) #s(approx (+ (* (- -1/2 y) (log y)) x) (*.f64 (neg.f64 (log.f64 y)) y))) (patch (/.f64 #s(literal 1 binary64) #s(approx (+ (* (- -1/2 y) (log y)) x) (*.f64 (neg.f64 (log.f64 y)) y))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) y)) (patch (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) y)) #<representation binary64>) () ()) |
#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (- -1/2 y) (log y)) x) (*.f64 (neg.f64 (log.f64 y)) y)) (patch #s(approx (+ (* (- -1/2 y) (log y)) x) (*.f64 (neg.f64 (log.f64 y)) y)) #<representation binary64>) () ()) |
#s(alt (*.f64 (neg.f64 (log.f64 y)) y) (patch (*.f64 (neg.f64 (log.f64 y)) y) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (- (+ x y) (* (log y) (+ 1/2 y))) (taylor 0 z) (#s(alt (-.f64 (+.f64 (-.f64 x (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) y)))) y) z) (patch (-.f64 (+.f64 (-.f64 x (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) y)))) y) z) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y))) (taylor 0 z) (#s(alt (-.f64 (+.f64 (-.f64 x (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) y)))) y) z) (patch (-.f64 (+.f64 (-.f64 x (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) y)))) y) z) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y))) (taylor 0 z) (#s(alt (-.f64 (+.f64 (-.f64 x (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) y)))) y) z) (patch (-.f64 (+.f64 (-.f64 x (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) y)))) y) z) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y))) (taylor 0 z) (#s(alt (-.f64 (+.f64 (-.f64 x (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) y)))) y) z) (patch (-.f64 (+.f64 (-.f64 x (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) y)))) y) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor 0 z) (#s(alt (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z)) (patch (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor 0 z) (#s(alt (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z)) (patch (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor 0 z) (#s(alt (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z)) (patch (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor 0 z) (#s(alt (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z)) (patch (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt z (taylor 0 z) (#s(alt (+.f64 #s(literal 0 binary64) z) (patch (+.f64 #s(literal 0 binary64) z) #<representation binary64>) () ())) ()) |
#s(alt z (taylor 0 z) (#s(alt (+.f64 #s(literal 0 binary64) z) (patch (+.f64 #s(literal 0 binary64) z) #<representation binary64>) () ())) ()) |
#s(alt z (taylor 0 z) (#s(alt (+.f64 #s(literal 0 binary64) z) (patch (+.f64 #s(literal 0 binary64) z) #<representation binary64>) () ())) ()) |
#s(alt z (taylor 0 z) (#s(alt (+.f64 #s(literal 0 binary64) z) (patch (+.f64 #s(literal 0 binary64) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (pow z 2)) (taylor 0 z) (#s(alt (-.f64 #s(literal 0 binary64) (*.f64 z z)) (patch (-.f64 #s(literal 0 binary64) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (pow z 2)) (taylor 0 z) (#s(alt (-.f64 #s(literal 0 binary64) (*.f64 z z)) (patch (-.f64 #s(literal 0 binary64) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (pow z 2)) (taylor 0 z) (#s(alt (-.f64 #s(literal 0 binary64) (*.f64 z z)) (patch (-.f64 #s(literal 0 binary64) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (pow z 2)) (taylor 0 z) (#s(alt (-.f64 #s(literal 0 binary64) (*.f64 z z)) (patch (-.f64 #s(literal 0 binary64) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x y) (* (log y) (+ 1/2 y))) (taylor 0 z) (#s(alt #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z))) (patch #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y))) (taylor 0 z) (#s(alt #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z))) (patch #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y))) (taylor 0 z) (#s(alt #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z))) (patch #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y))) (taylor 0 z) (#s(alt #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z))) (patch #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x y) (* (log y) (+ 1/2 y))) (taylor 0 z) (#s(alt (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) #s(approx (+ (* -1/2 (log y)) x) (*.f64 #s(literal -1/2 binary64) (log.f64 y)))) z) (patch (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) #s(approx (+ (* -1/2 (log y)) x) (*.f64 #s(literal -1/2 binary64) (log.f64 y)))) z) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y))) (taylor 0 z) (#s(alt (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) #s(approx (+ (* -1/2 (log y)) x) (*.f64 #s(literal -1/2 binary64) (log.f64 y)))) z) (patch (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) #s(approx (+ (* -1/2 (log y)) x) (*.f64 #s(literal -1/2 binary64) (log.f64 y)))) z) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y))) (taylor 0 z) (#s(alt (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) #s(approx (+ (* -1/2 (log y)) x) (*.f64 #s(literal -1/2 binary64) (log.f64 y)))) z) (patch (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) #s(approx (+ (* -1/2 (log y)) x) (*.f64 #s(literal -1/2 binary64) (log.f64 y)))) z) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y))) (taylor 0 z) (#s(alt (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) #s(approx (+ (* -1/2 (log y)) x) (*.f64 #s(literal -1/2 binary64) (log.f64 y)))) z) (patch (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) #s(approx (+ (* -1/2 (log y)) x) (*.f64 #s(literal -1/2 binary64) (log.f64 y)))) z) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) (taylor 0 z) (#s(alt (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) #s(approx (+ x (- y z)) (-.f64 y z))) (patch (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) #s(approx (+ x (- y z)) (-.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ y (+ (* -1 z) (* -1 (* (log y) (+ 1/2 y)))))) (taylor 0 z) (#s(alt (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) #s(approx (+ x (- y z)) (-.f64 y z))) (patch (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) #s(approx (+ x (- y z)) (-.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ y (+ (* -1 z) (* -1 (* (log y) (+ 1/2 y)))))) (taylor 0 z) (#s(alt (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) #s(approx (+ x (- y z)) (-.f64 y z))) (patch (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) #s(approx (+ x (- y z)) (-.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ y (+ (* -1 z) (* -1 (* (log y) (+ 1/2 y)))))) (taylor 0 z) (#s(alt (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) #s(approx (+ x (- y z)) (-.f64 y z))) (patch (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) #s(approx (+ x (- y z)) (-.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (+ x y) (taylor 0 z) (#s(alt #s(approx (+ x (- y z)) (-.f64 y z)) (patch #s(approx (+ x (- y z)) (-.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ y (* -1 z))) (taylor 0 z) (#s(alt #s(approx (+ x (- y z)) (-.f64 y z)) (patch #s(approx (+ x (- y z)) (-.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ y (* -1 z))) (taylor 0 z) (#s(alt #s(approx (+ x (- y z)) (-.f64 y z)) (patch #s(approx (+ x (- y z)) (-.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ y (* -1 z))) (taylor 0 z) (#s(alt #s(approx (+ x (- y z)) (-.f64 y z)) (patch #s(approx (+ x (- y z)) (-.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) (taylor 0 z) (#s(alt (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (- -1/2 y) (log y)) x) (*.f64 (neg.f64 (log.f64 y)) y)))) y) z) (patch (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (- -1/2 y) (log y)) x) (*.f64 (neg.f64 (log.f64 y)) y)))) y) z) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ y (+ (* -1 z) (* -1 (* (log y) (+ 1/2 y)))))) (taylor 0 z) (#s(alt (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (- -1/2 y) (log y)) x) (*.f64 (neg.f64 (log.f64 y)) y)))) y) z) (patch (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (- -1/2 y) (log y)) x) (*.f64 (neg.f64 (log.f64 y)) y)))) y) z) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ y (+ (* -1 z) (* -1 (* (log y) (+ 1/2 y)))))) (taylor 0 z) (#s(alt (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (- -1/2 y) (log y)) x) (*.f64 (neg.f64 (log.f64 y)) y)))) y) z) (patch (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (- -1/2 y) (log y)) x) (*.f64 (neg.f64 (log.f64 y)) y)))) y) z) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ y (+ (* -1 z) (* -1 (* (log y) (+ 1/2 y)))))) (taylor 0 z) (#s(alt (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (- -1/2 y) (log y)) x) (*.f64 (neg.f64 (log.f64 y)) y)))) y) z) (patch (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (- -1/2 y) (log y)) x) (*.f64 (neg.f64 (log.f64 y)) y)))) y) z) #<representation binary64>) () ())) ()) |
#s(alt (pow z 2) (taylor 0 z) (#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation binary64>) () ())) ()) |
#s(alt (pow z 2) (taylor 0 z) (#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation binary64>) () ())) ()) |
#s(alt (pow z 2) (taylor 0 z) (#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation binary64>) () ())) ()) |
#s(alt (pow z 2) (taylor 0 z) (#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor inf 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 (* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z)))) (taylor inf 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 (* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z)))) (taylor inf 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 (* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z)))) (taylor inf 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 (* -1 z) (taylor inf z) (#s(alt (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z)) (patch (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor inf z) (#s(alt (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z)) (patch (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor inf z) (#s(alt (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z)) (patch (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor inf z) (#s(alt (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z)) (patch (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt z (taylor inf z) (#s(alt (+.f64 #s(literal 0 binary64) z) (patch (+.f64 #s(literal 0 binary64) z) #<representation binary64>) () ())) ()) |
#s(alt z (taylor inf z) (#s(alt (+.f64 #s(literal 0 binary64) z) (patch (+.f64 #s(literal 0 binary64) z) #<representation binary64>) () ())) ()) |
#s(alt z (taylor inf z) (#s(alt (+.f64 #s(literal 0 binary64) z) (patch (+.f64 #s(literal 0 binary64) z) #<representation binary64>) () ())) ()) |
#s(alt z (taylor inf z) (#s(alt (+.f64 #s(literal 0 binary64) z) (patch (+.f64 #s(literal 0 binary64) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (pow z 2)) (taylor inf z) (#s(alt (-.f64 #s(literal 0 binary64) (*.f64 z z)) (patch (-.f64 #s(literal 0 binary64) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (pow z 2)) (taylor inf z) (#s(alt (-.f64 #s(literal 0 binary64) (*.f64 z z)) (patch (-.f64 #s(literal 0 binary64) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (pow z 2)) (taylor inf z) (#s(alt (-.f64 #s(literal 0 binary64) (*.f64 z z)) (patch (-.f64 #s(literal 0 binary64) (*.f64 z z)) #<representation binary64>) () ())) ()) |
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9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 16.0ms | 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) (/ (- 0 (* z z)) (+ 0 z)) (+ 0 z) (- 0 (* z z)) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+ (- x (* (+ y 1/2) (log y))) y) (+ (* -1/2 (log y)) x) (* -1/2 (log y)) (+ (* (- -1/2 y) (log y)) (+ x (- y z))) (- -1/2 y) (log y) (+ x (- y z)) (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) (- (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) z) (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) (/ 1 (+ (* (- -1/2 y) (log y)) x)) (/ 1 (+ 1/2 y)) (* z z) (+ (* (- -1/2 y) (log y)) x) (* (neg (log y)) y)) |
| 9.0ms | 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) (/ (- 0 (* z z)) (+ 0 z)) (+ 0 z) (- 0 (* z z)) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+ (- x (* (+ y 1/2) (log y))) y) (+ (* -1/2 (log y)) x) (* -1/2 (log y)) (+ (* (- -1/2 y) (log y)) (+ x (- y z))) (- -1/2 y) (log y) (+ x (- y z)) (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) (- (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) z) (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) (/ 1 (+ (* (- -1/2 y) (log y)) x)) (/ 1 (+ 1/2 y)) (* z z) (+ (* (- -1/2 y) (log y)) x) (* (neg (log y)) y)) |
| 8.0ms | y | @ | inf | ((/ (log y) (/ 1 (+ 1/2 y))) (- x (/ (log y) (/ 1 (+ 1/2 y)))) (- (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) z) (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) (/ (- 0 (* z z)) (+ 0 z)) (+ 0 z) (- 0 (* z z)) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+ (- x (* (+ y 1/2) (log y))) y) (+ (* -1/2 (log y)) x) (* -1/2 (log y)) (+ (* (- -1/2 y) (log y)) (+ x (- y z))) (- -1/2 y) (log y) (+ x (- y z)) (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) (- (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) z) (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) (/ 1 (+ (* (- -1/2 y) (log y)) x)) (/ 1 (+ 1/2 y)) (* z z) (+ (* (- -1/2 y) (log y)) x) (* (neg (log y)) y)) |
| 2.0ms | z | @ | 0 | ((/ (log y) (/ 1 (+ 1/2 y))) (- x (/ (log y) (/ 1 (+ 1/2 y)))) (- (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) z) (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) (/ (- 0 (* z z)) (+ 0 z)) (+ 0 z) (- 0 (* z z)) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+ (- x (* (+ y 1/2) (log y))) y) (+ (* -1/2 (log y)) x) (* -1/2 (log y)) (+ (* (- -1/2 y) (log y)) (+ x (- y z))) (- -1/2 y) (log y) (+ x (- y z)) (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) (- (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) z) (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) (/ 1 (+ (* (- -1/2 y) (log y)) x)) (/ 1 (+ 1/2 y)) (* z z) (+ (* (- -1/2 y) (log y)) x) (* (neg (log y)) y)) |
| 2.0ms | x | @ | 0 | ((/ (log y) (/ 1 (+ 1/2 y))) (- x (/ (log y) (/ 1 (+ 1/2 y)))) (- (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) z) (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) (/ (- 0 (* z z)) (+ 0 z)) (+ 0 z) (- 0 (* z z)) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+ (- x (* (+ y 1/2) (log y))) y) (+ (* -1/2 (log y)) x) (* -1/2 (log y)) (+ (* (- -1/2 y) (log y)) (+ x (- y z))) (- -1/2 y) (log y) (+ x (- y z)) (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) (- (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) z) (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) (/ 1 (+ (* (- -1/2 y) (log y)) x)) (/ 1 (+ 1/2 y)) (* z z) (+ (* (- -1/2 y) (log y)) x) (* (neg (log y)) y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 449 | 6668 |
| 1 | 1406 | 6174 |
| 2 | 4476 | 5874 |
| 0 | 8411 | 5518 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (+ x y) (* (log y) (+ 1/2 y))) |
(- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y))) |
(- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y))) |
(- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y))) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
z |
z |
z |
z |
(* -1 (pow z 2)) |
(* -1 (pow z 2)) |
(* -1 (pow z 2)) |
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(- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y))) |
(- (+ 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))) |
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(+ x (+ y (+ (* -1 z) (* -1 (* (log y) (+ 1/2 y)))))) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
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(* -1 z) |
(* -1 z) |
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z |
z |
(* -1 (pow z 2)) |
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(- (+ x (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y)))))) z) |
(- (+ x (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y)))))) z) |
(- (+ x (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y)))))) z) |
-1/2 |
(- (* -1 y) 1/2) |
(- (* -1 y) 1/2) |
(- (* -1 y) 1/2) |
(log y) |
(log y) |
(log y) |
(log y) |
(- x z) |
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2 |
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(* -1 (* y (- (* -1 (/ (- x (+ z (* 1/2 (+ (log -1) (* -1 (log (/ -1 y))))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))))) |
(* -1 (* y (- (* -1 (/ (- x (+ z (* 1/2 (+ (log -1) (* -1 (log (/ -1 y))))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))))) |
(* y (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))) |
(* -1 (* y (- (* -1 (/ (- x (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))))) |
(* -1 (* y (- (* -1 (/ (- x (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))))) |
(* -1 (* y (- (* -1 (/ (- x (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))))) |
(+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) |
(+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) |
(+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) |
(+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) |
(* -1/2 (+ (log -1) (* -1 (log (/ -1 y))))) |
(* -1/2 (+ (log -1) (* -1 (log (/ -1 y))))) |
(* -1/2 (+ (log -1) (* -1 (log (/ -1 y))))) |
(* -1/2 (+ (log -1) (* -1 (log (/ -1 y))))) |
(* -1 (* y (- (+ (log -1) (* -1 (log (/ -1 y)))) 1))) |
(* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) z) y)))) 1))) |
(* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) z) y)))) 1))) |
(* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) z) y)))) 1))) |
(* -1 y) |
(* -1 (* y (+ 1 (* 1/2 (/ 1 y))))) |
(* -1 (* y (+ 1 (* 1/2 (/ 1 y))))) |
(* -1 (* y (+ 1 (* 1/2 (/ 1 y))))) |
(+ (log -1) (* -1 (log (/ -1 y)))) |
(+ (log -1) (* -1 (log (/ -1 y)))) |
(+ (log -1) (* -1 (log (/ -1 y)))) |
(+ (log -1) (* -1 (log (/ -1 y)))) |
y |
(* -1 (* y (- (* -1 (/ (- x z) y)) 1))) |
(* -1 (* y (- (* -1 (/ (- x z) y)) 1))) |
(* -1 (* y (- (* -1 (/ (- x z) y)) 1))) |
(* -1 (* y (+ (log -1) (* -1 (log (/ -1 y)))))) |
(* -1 (* y (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)))))) |
(* -1 (* y (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)))))) |
(* -1 (* y (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)))))) |
(* -1 (* y (- (+ (log -1) (* -1 (log (/ -1 y)))) 1))) |
(* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) z) y)))) 1))) |
(* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) z) y)))) 1))) |
(* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) z) y)))) 1))) |
(* -1 (* y (- (+ (log -1) (* -1 (log (/ -1 y)))) 1))) |
(* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)))) 1))) |
(* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)))) 1))) |
(* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)))) 1))) |
(/ -1 (* y (+ (log -1) (* -1 (log (/ -1 y)))))) |
(* -1 (/ (+ (* -1 (/ (- (* 1/2 (/ 1 (+ (log -1) (* -1 (log (/ -1 y)))))) (/ x (pow (+ (log -1) (* -1 (log (/ -1 y)))) 2))) y)) (/ 1 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) |
(* -1 (/ (+ (* -1 (/ (- (+ (* 1/2 (/ 1 (+ (log -1) (* -1 (log (/ -1 y)))))) (/ (* (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) (- (* 1/2 (/ 1 (+ (log -1) (* -1 (log (/ -1 y)))))) (/ x (pow (+ (log -1) (* -1 (log (/ -1 y)))) 2)))) (* y (+ (log -1) (* -1 (log (/ -1 y))))))) (/ x (pow (+ (log -1) (* -1 (log (/ -1 y)))) 2))) y)) (/ 1 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) |
(* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) 2) (- (* 1/2 (/ 1 (+ (log -1) (* -1 (log (/ -1 y)))))) (/ x (pow (+ (log -1) (* -1 (log (/ -1 y)))) 2)))) (* y (pow (+ (log -1) (* -1 (log (/ -1 y)))) 2)))) (/ (* (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) (- (* 1/2 (/ 1 (+ (log -1) (* -1 (log (/ -1 y)))))) (/ x (pow (+ (log -1) (* -1 (log (/ -1 y)))) 2)))) (+ (log -1) (* -1 (log (/ -1 y)))))) y)) (* 1/2 (/ 1 (+ (log -1) (* -1 (log (/ -1 y))))))) (/ x (pow (+ (log -1) (* -1 (log (/ -1 y)))) 2))) y)) (/ 1 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) |
(/ 1 y) |
(* -1 (/ (- (* 1/2 (/ 1 y)) 1) y)) |
(* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 y)) 1/2) y)) 1) y)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 y)) 1/4) y)) 1/2) y)) 1) y)) |
(* -1 (* y (+ (log -1) (* -1 (log (/ -1 y)))))) |
(* -1 (* y (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)))))) |
(* -1 (* y (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)))))) |
(* -1 (* y (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)))))) |
(* -1 (* y (+ (log -1) (* -1 (log (/ -1 y)))))) |
(* -1 (* y (+ (log -1) (* -1 (log (/ -1 y)))))) |
(* -1 (* y (+ (log -1) (* -1 (log (/ -1 y)))))) |
(* -1 (* y (+ (log -1) (* -1 (log (/ -1 y)))))) |
(* -1 (* (log y) (+ 1/2 y))) |
(- x (* (log y) (+ 1/2 y))) |
(- x (* (log y) (+ 1/2 y))) |
(- x (* (log y) (+ 1/2 y))) |
(- y (+ z (* (log y) (+ 1/2 y)))) |
(- (+ x y) (+ z (* (log y) (+ 1/2 y)))) |
(- (+ x y) (+ z (* (log y) (+ 1/2 y)))) |
(- (+ x y) (+ z (* (log y) (+ 1/2 y)))) |
(- y (* (log y) (+ 1/2 y))) |
(- (+ x y) (* (log y) (+ 1/2 y))) |
(- (+ x y) (* (log y) (+ 1/2 y))) |
(- (+ x y) (* (log y) (+ 1/2 y))) |
(- y (+ z (* (log y) (+ 1/2 y)))) |
(- (+ x y) (+ z (* (log y) (+ 1/2 y)))) |
(- (+ x y) (+ z (* (log y) (+ 1/2 y)))) |
(- (+ x y) (+ z (* (log y) (+ 1/2 y)))) |
(- y (+ z (* (log y) (+ 1/2 y)))) |
(- (+ x y) (+ z (* (log y) (+ 1/2 y)))) |
(- (+ x y) (+ z (* (log y) (+ 1/2 y)))) |
(- (+ x y) (+ z (* (log y) (+ 1/2 y)))) |
(- y (* (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 (* -1 (* (log y) (+ 1/2 y)))) z) |
(- (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z) |
(- (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z) |
(- (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z) |
(- y z) |
(- (+ x y) z) |
(- (+ x y) z) |
(- (+ x y) z) |
(* -1 (* (log y) (+ 1/2 y))) |
(+ x (* -1 (* (log y) (+ 1/2 y)))) |
(+ x (* -1 (* (log y) (+ 1/2 y)))) |
(+ x (* -1 (* (log y) (+ 1/2 y)))) |
(- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) |
(- (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z) |
(- (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z) |
(- (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z) |
(+ 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))))) |
(/ -1 (* (log y) (+ 1/2 y))) |
(- (* -1 (/ x (* (pow (log y) 2) (pow (+ 1/2 y) 2)))) (/ 1 (* (log y) (+ 1/2 y)))) |
(- (* x (- (* -1 (/ x (* (pow (log y) 3) (pow (+ 1/2 y) 3)))) (/ 1 (* (pow (log y) 2) (pow (+ 1/2 y) 2))))) (/ 1 (* (log y) (+ 1/2 y)))) |
(- (* x (- (* x (- (* -1 (/ x (* (pow (log y) 4) (pow (+ 1/2 y) 4)))) (/ 1 (* (pow (log y) 3) (pow (+ 1/2 y) 3))))) (/ 1 (* (pow (log y) 2) (pow (+ 1/2 y) 2))))) (/ 1 (* (log y) (+ 1/2 y)))) |
(* -1 (* (log y) (+ 1/2 y))) |
(+ x (* -1 (* (log y) (+ 1/2 y)))) |
(+ x (* -1 (* (log y) (+ 1/2 y)))) |
(+ x (* -1 (* (log y) (+ 1/2 y)))) |
x |
(* x (+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x)))) |
(* x (+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x)))) |
(* x (+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x)))) |
x |
(* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x)))) |
(* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x)))) |
(* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x)))) |
x |
(* x (- (+ 1 (/ y x)) (/ (* (log y) (+ 1/2 y)) x))) |
(* x (- (+ 1 (/ y x)) (/ (* (log y) (+ 1/2 y)) x))) |
(* x (- (+ 1 (/ y x)) (/ (* (log y) (+ 1/2 y)) x))) |
x |
(* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x)))) |
(* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x)))) |
(* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x)))) |
x |
(* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x)))) |
(* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x)))) |
(* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x)))) |
x |
(* x (- (+ 1 (/ y x)) (/ (* (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 (+ (* -1 (/ (* (log y) (+ 1/2 y)) x)) (/ y x))) (/ z x))) |
(* x (- (+ 1 (+ (* -1 (/ (* (log y) (+ 1/2 y)) x)) (/ y x))) (/ z x))) |
(* x (- (+ 1 (+ (* -1 (/ (* (log y) (+ 1/2 y)) x)) (/ y x))) (/ z x))) |
x |
(* x (- (+ 1 (/ y x)) (/ z x))) |
(* x (- (+ 1 (/ y x)) (/ z x))) |
(* x (- (+ 1 (/ y x)) (/ z x))) |
x |
(* x (+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x)))) |
(* x (+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x)))) |
(* x (+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x)))) |
x |
(* x (- (+ 1 (+ (* -1 (/ (* (log y) (+ 1/2 y)) x)) (/ y x))) (/ z x))) |
(* x (- (+ 1 (+ (* -1 (/ (* (log y) (+ 1/2 y)) x)) (/ y x))) (/ z x))) |
(* x (- (+ 1 (+ (* -1 (/ (* (log y) (+ 1/2 y)) x)) (/ y x))) (/ z x))) |
x |
(* x (+ 1 (+ (* -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)))) |
(/ 1 x) |
(/ (+ 1 (/ (* (log y) (+ 1/2 y)) x)) x) |
(/ (- (+ 1 (/ (* (pow (log y) 2) (pow (+ 1/2 y) 2)) (pow x 2))) (* -1 (/ (* (log y) (+ 1/2 y)) x))) x) |
(/ (- (+ 1 (/ (* (pow (log y) 3) (pow (+ 1/2 y) 3)) (pow x 3))) (+ (* -1 (/ (* (log y) (+ 1/2 y)) x)) (* -1 (/ (* (pow (log y) 2) (pow (+ 1/2 y) 2)) (pow x 2))))) x) |
x |
(* x (+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x)))) |
(* x (+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x)))) |
(* x (+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x)))) |
x |
(* -1 (* x (- (/ (* (log y) (+ 1/2 y)) x) 1))) |
(* -1 (* x (- (/ (* (log y) (+ 1/2 y)) x) 1))) |
(* -1 (* x (- (/ (* (log y) (+ 1/2 y)) x) 1))) |
x |
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1))) |
x |
(* -1 (* x (- (* -1 (/ (- y (* (log y) (+ 1/2 y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- y (* (log y) (+ 1/2 y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- y (* (log y) (+ 1/2 y))) x)) 1))) |
x |
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1))) |
x |
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1))) |
x |
(* -1 (* x (- (* -1 (/ (- y (* (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 (* -1 (* (log y) (+ 1/2 y)))) z) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) x)) 1))) |
x |
(* -1 (* x (- (* -1 (/ (- y z) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- y z) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- y z) x)) 1))) |
x |
(* -1 (* x (- (/ (* (log y) (+ 1/2 y)) x) 1))) |
(* -1 (* x (- (/ (* (log y) (+ 1/2 y)) x) 1))) |
(* -1 (* x (- (/ (* (log y) (+ 1/2 y)) x) 1))) |
x |
(* -1 (* x (- (* -1 (/ (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) x)) 1))) |
x |
(* -1 (* x (- (* -1 (/ (+ y (* -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))) |
(/ 1 x) |
(* -1 (/ (- (* -1 (/ (* (log y) (+ 1/2 y)) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (/ (* (pow (log y) 2) (pow (+ 1/2 y) 2)) x) (* -1 (* (log y) (+ 1/2 y)))) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow (log y) 3) (pow (+ 1/2 y) 3)) x)) (* (pow (log y) 2) (pow (+ 1/2 y) 2))) x)) (* -1 (* (log y) (+ 1/2 y)))) x)) 1) 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))) |
| 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 (-.f64 x (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) y) |
(- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y))) |
(+.f64 (-.f64 x (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) y) |
(- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y))) |
(+.f64 (-.f64 x (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) y) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
z |
z |
z |
z |
(* -1 (pow z 2)) |
(*.f64 (neg.f64 z) z) |
(* -1 (pow z 2)) |
(*.f64 (neg.f64 z) z) |
(* -1 (pow z 2)) |
(*.f64 (neg.f64 z) z) |
(* -1 (pow z 2)) |
(*.f64 (neg.f64 z) z) |
(- (+ x y) (* (log y) (+ 1/2 y))) |
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x)) |
(- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y))) |
(+.f64 (-.f64 x (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) y) |
(- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y))) |
(+.f64 (-.f64 x (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) y) |
(- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y))) |
(+.f64 (-.f64 x (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) y) |
(- (+ 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 (-.f64 x (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) y) |
(- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y))) |
(+.f64 (-.f64 x (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) y) |
(- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y))) |
(+.f64 (-.f64 x (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) y) |
(+ 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)))))) |
(+.f64 (-.f64 x (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) y) |
(+ x (+ y (+ (* -1 z) (* -1 (* (log y) (+ 1/2 y)))))) |
(+.f64 (-.f64 x (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) y) |
(+ x (+ y (+ (* -1 z) (* -1 (* (log y) (+ 1/2 y)))))) |
(+.f64 (-.f64 x (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) y) |
(+ x y) |
(+.f64 y x) |
(+ x (+ y (* -1 z))) |
(-.f64 (+.f64 y x) z) |
(+ x (+ y (* -1 z))) |
(-.f64 (+.f64 y x) z) |
(+ x (+ y (* -1 z))) |
(-.f64 (+.f64 y x) 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)))))) |
(+.f64 (-.f64 x (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) y) |
(+ x (+ y (+ (* -1 z) (* -1 (* (log y) (+ 1/2 y)))))) |
(+.f64 (-.f64 x (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) y) |
(+ x (+ y (+ (* -1 z) (* -1 (* (log y) (+ 1/2 y)))))) |
(+.f64 (-.f64 x (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) y) |
(pow z 2) |
(*.f64 z z) |
(pow z 2) |
(*.f64 z z) |
(pow z 2) |
(*.f64 z z) |
(pow z 2) |
(*.f64 z z) |
(* -1 z) |
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(*.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) y) x) (log.f64 y) #s(literal 1 binary64)) x) |
(* x (+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x)))) |
(*.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) y) x) (log.f64 y) #s(literal 1 binary64)) x) |
(* x (+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x)))) |
(*.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) y) x) (log.f64 y) #s(literal 1 binary64)) 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 (- (* 1/2 (/ (log y) x)) 1))) |
(fma.f64 (*.f64 (/.f64 (log.f64 y) x) #s(literal -1/2 binary64)) x x) |
(* -1 (* x (- (* 1/2 (/ (log y) x)) 1))) |
(fma.f64 (*.f64 (/.f64 (log.f64 y) x) #s(literal -1/2 binary64)) x x) |
(* -1 (* x (- (* 1/2 (/ (log y) x)) 1))) |
(fma.f64 (*.f64 (/.f64 (log.f64 y) x) #s(literal -1/2 binary64)) x x) |
x |
(* -1 (* x (- (* -1 (/ (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x))) |
(* -1 (* x (- (* -1 (/ (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x))) |
(* -1 (* x (- (* -1 (/ (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x))) |
x |
(* -1 (* x (- (* -1 (/ (- y z) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 y z) x))) |
(* -1 (* x (- (* -1 (/ (- y z) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 y z) x))) |
(* -1 (* x (- (* -1 (/ (- y z) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 y z) x))) |
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 (* -1 (* (log y) (+ 1/2 y)))) z) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x))) |
(* -1 (* x (- (* -1 (/ (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x))) |
(* -1 (* x (- (* -1 (/ (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x))) |
x |
(* -1 (* x (- (* -1 (/ (+ y (* -1 (* (log y) (+ 1/2 y)))) 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))) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(* -1 (/ (- (* -1 (/ (* (log y) (+ 1/2 y)) x)) 1) x)) |
(/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (/.f64 (log.f64 y) x) #s(literal 1 binary64)) x) |
(* -1 (/ (- (* -1 (/ (- (/ (* (pow (log y) 2) (pow (+ 1/2 y) 2)) x) (* -1 (* (log y) (+ 1/2 y)))) x)) 1) x)) |
(/.f64 (+.f64 (/.f64 (*.f64 (log.f64 y) (fma.f64 (log.f64 y) (/.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)) x) (+.f64 #s(literal 1/2 binary64) y))) x) #s(literal 1 binary64)) x) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow (log y) 3) (pow (+ 1/2 y) 3)) x)) (* (pow (log y) 2) (pow (+ 1/2 y) 2))) x)) (* -1 (* (log y) (+ 1/2 y)))) x)) 1) x)) |
(/.f64 (+.f64 (/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) (/.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (fma.f64 (log.f64 y) (/.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal 3 binary64)) x) (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)))) x)) x) #s(literal 1 binary64)) 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) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 276 |
| 0 | 71 | 255 |
| 1 | 368 | 239 |
| 2 | 3687 | 239 |
| 0 | 8416 | 225 |
| 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) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z)) |
(+.f64 #s(literal 0 binary64) z) |
(-.f64 #s(literal 0 binary64) (*.f64 z z)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z))) |
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) #s(approx (+ (* -1/2 (log y)) x) (*.f64 #s(literal -1/2 binary64) (log.f64 y)))) z) |
#s(approx (+ (- x (* (+ y 1/2) (log y))) y) #s(approx (+ (* -1/2 (log y)) x) (*.f64 #s(literal -1/2 binary64) (log.f64 y)))) |
#s(approx (+ (* -1/2 (log y)) x) (*.f64 #s(literal -1/2 binary64) (log.f64 y))) |
(*.f64 #s(literal -1/2 binary64) (log.f64 y)) |
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) #s(approx (+ x (- y z)) (-.f64 y z))) |
(-.f64 #s(literal -1/2 binary64) y) |
(log.f64 y) |
#s(approx (+ x (- y z)) (-.f64 y z)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (- -1/2 y) (log y)) x) (*.f64 (neg.f64 (log.f64 y)) y)))) |
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (- -1/2 y) (log y)) x) (*.f64 (neg.f64 (log.f64 y)) y)))) y) z) |
(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (- -1/2 y) (log y)) x) (*.f64 (neg.f64 (log.f64 y)) y)))) y) |
(/.f64 #s(literal 1 binary64) #s(approx (+ (* (- -1/2 y) (log y)) x) (*.f64 (neg.f64 (log.f64 y)) y))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) y)) |
(*.f64 z z) |
#s(approx (+ (* (- -1/2 y) (log y)) x) (*.f64 (neg.f64 (log.f64 y)) y)) |
(*.f64 (neg.f64 (log.f64 y)) y) |
| Outputs |
|---|
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Compiled 24 930 to 3 291 computations (86.8% saved)
24 alts after pruning (20 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 296 | 9 | 1 305 |
| Fresh | 0 | 11 | 11 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 2 | 2 |
| Total | 1 299 | 24 | 1 323 |
| Status | Accuracy | Program |
|---|---|---|
| 76.0% | (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 y) #s(literal -1 binary64))) #s(approx (+ x (- y z)) (-.f64 y z))) | |
| ▶ | 64.5% | (fma.f64 #s(approx (- -1/2 y) (neg.f64 y)) (log.f64 y) #s(approx (+ x (- y z)) (-.f64 y z))) |
| 49.6% | (-.f64 (/.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) (log.f64 y)) (-.f64 x y) (*.f64 (-.f64 y #s(literal 1/2 binary64)) (-.f64 (*.f64 x x) (*.f64 y y)))) (*.f64 (-.f64 y #s(literal 1/2 binary64)) (-.f64 x y))) z) | |
| ✓ | 64.5% | (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (- -1/2 y) (log y)) x) (*.f64 (neg.f64 (log.f64 y)) y)))) y) z) |
| 57.2% | (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- -1/2 y) (log y)) x)) (/.f64 #s(literal 1 binary64) x))) y) z) | |
| 87.9% | (-.f64 (+.f64 (-.f64 x (/.f64 (log.f64 y) #s(approx (/ 1 (+ 1/2 y)) (/.f64 #s(literal 1 binary64) y)))) y) z) | |
| ▶ | 88.9% | (-.f64 (+.f64 #s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) y) x) (log.f64 y) #s(literal 1 binary64)) x)) y) z) |
| 64.5% | (-.f64 #s(approx (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) z) | |
| ✓ | 70.0% | (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z) |
| ✓ | 46.0% | (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) #s(approx (+ (* -1/2 (log y)) x) (*.f64 #s(literal -1/2 binary64) (log.f64 y)))) z) |
| ▶ | 32.0% | #s(approx (- (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) z) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) |
| 10.0% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (*.f64 (neg.f64 z) (*.f64 (neg.f64 z) z)) (neg.f64 z)) (+.f64 #s(literal 0 binary64) z))) | |
| ▶ | 13.3% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z)))) |
| 10.9% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal -1 binary64) z)))) | |
| ▶ | 13.3% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (neg.f64 z) z) z)) |
| 34.1% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z))) | |
| 51.5% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y #s(literal 1/2 binary64)) (fma.f64 y y #s(literal -1/4 binary64)))) (log.f64 y) z))) | |
| 66.1% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y #s(approx (+ (* (+ 1/2 y) (log y)) z) (fma.f64 (*.f64 z (log.f64 y)) (/.f64 (+.f64 #s(literal 1/2 binary64) y) z) z)))) | |
| 42.8% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y #s(approx (+ (* (+ 1/2 y) (log y)) z) (*.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y))))) | |
| 31.9% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y #s(approx (+ (* (+ 1/2 y) (log y)) z) (*.f64 (log.f64 y) y)))) | |
| 13.3% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (*.f64 z z) (/.f64 #s(literal -1 binary64) z))) | |
| ✓ | 34.1% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z)) |
| 66.2% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (- y (+ (* (+ 1/2 y) (log y)) z)) (fma.f64 (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y) z) z (neg.f64 z)))) | |
| 42.8% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (- y (+ (* (+ 1/2 y) (log y)) z)) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y))) |
Compiled 531 to 460 computations (13.4% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (log.f64 y) | |
| cost-diff | 0 | (neg.f64 y) | |
| cost-diff | 0 | #s(approx (- -1/2 y) (neg.f64 y)) | |
| cost-diff | 0 | (fma.f64 #s(approx (- -1/2 y) (neg.f64 y)) (log.f64 y) #s(approx (+ x (- y z)) (-.f64 y z))) | |
| cost-diff | 0 | (log.f64 y) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) (log.f64 y)) | |
| cost-diff | 0 | (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y) | |
| cost-diff | 0 | #s(approx (- (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) z) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) | |
| cost-diff | 0 | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z)))) | |
| cost-diff | 64 | (-.f64 #s(literal 0 binary64) (*.f64 z z)) | |
| cost-diff | 1024 | (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z))) | |
| cost-diff | 1408 | (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z)) | |
| cost-diff | 0 | (neg.f64 z) | |
| cost-diff | 0 | (*.f64 (neg.f64 z) z) | |
| cost-diff | 0 | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (neg.f64 z) z) z)) | |
| cost-diff | 1024 | (/.f64 (*.f64 (neg.f64 z) z) z) | |
| cost-diff | 0 | #s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) y) x) (log.f64 y) #s(literal 1 binary64)) x)) | |
| cost-diff | 0 | (+.f64 #s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) y) x) (log.f64 y) #s(literal 1 binary64)) x)) y) | |
| cost-diff | 0 | (-.f64 (+.f64 #s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) y) x) (log.f64 y) #s(literal 1 binary64)) x)) y) z) | |
| cost-diff | 1024 | (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) y) x) (log.f64 y) #s(literal 1 binary64)) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 49 | 278 |
| 0 | 72 | 251 |
| 1 | 133 | 231 |
| 2 | 301 | 231 |
| 3 | 1024 | 231 |
| 4 | 2911 | 219 |
| 5 | 6140 | 219 |
| 0 | 8237 | 209 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (+.f64 #s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) y) x) (log.f64 y) #s(literal 1 binary64)) x)) y) z) |
(+.f64 #s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) y) x) (log.f64 y) #s(literal 1 binary64)) x)) y) |
#s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) y) x) (log.f64 y) #s(literal 1 binary64)) x)) |
(*.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) y) x) (log.f64 y) #s(literal 1 binary64)) x) |
(fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) y) x) (log.f64 y) #s(literal 1 binary64)) |
(/.f64 (-.f64 #s(literal -1/2 binary64) y) x) |
(-.f64 #s(literal -1/2 binary64) y) |
#s(literal -1/2 binary64) |
y |
x |
(log.f64 y) |
#s(literal 1 binary64) |
z |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (neg.f64 z) z) z)) |
(/.f64 (*.f64 (neg.f64 z) z) z) |
(*.f64 (neg.f64 z) z) |
(neg.f64 z) |
z |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z))) |
(-.f64 #s(literal 0 binary64) (*.f64 z z)) |
#s(literal 0 binary64) |
(*.f64 z z) |
z |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z)) |
#s(literal -1 binary64) |
(/.f64 #s(literal -1 binary64) z) |
#s(approx (- (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) z) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) |
(*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y) |
(-.f64 #s(literal 1 binary64) (log.f64 y)) |
#s(literal 1 binary64) |
(log.f64 y) |
y |
(fma.f64 #s(approx (- -1/2 y) (neg.f64 y)) (log.f64 y) #s(approx (+ x (- y z)) (-.f64 y z))) |
#s(approx (- -1/2 y) (neg.f64 y)) |
(neg.f64 y) |
y |
(log.f64 y) |
#s(approx (+ x (- y z)) (-.f64 y z)) |
(-.f64 y z) |
z |
| Outputs |
|---|
(-.f64 (+.f64 #s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) y) x) (log.f64 y) #s(literal 1 binary64)) x)) y) z) |
(-.f64 #s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)) (-.f64 z y)) |
(+.f64 #s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) y) x) (log.f64 y) #s(literal 1 binary64)) x)) y) |
(+.f64 #s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)) y) |
#s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) y) x) (log.f64 y) #s(literal 1 binary64)) x)) |
#s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)) |
(*.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) y) x) (log.f64 y) #s(literal 1 binary64)) x) |
(fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x) |
(fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) y) x) (log.f64 y) #s(literal 1 binary64)) |
(fma.f64 (log.f64 y) (/.f64 (-.f64 #s(literal -1/2 binary64) y) x) #s(literal 1 binary64)) |
(/.f64 (-.f64 #s(literal -1/2 binary64) y) x) |
(-.f64 #s(literal -1/2 binary64) y) |
#s(literal -1/2 binary64) |
y |
x |
(log.f64 y) |
#s(literal 1 binary64) |
z |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (neg.f64 z) z) z)) |
#s(approx (- (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) z) (neg.f64 z)) |
(/.f64 (*.f64 (neg.f64 z) z) z) |
(neg.f64 z) |
(*.f64 (neg.f64 z) z) |
(neg.f64 z) |
z |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z)))) |
#s(approx (- (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) z) (neg.f64 z)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z))) |
(neg.f64 z) |
(-.f64 #s(literal 0 binary64) (*.f64 z z)) |
(*.f64 (neg.f64 z) z) |
#s(literal 0 binary64) |
(*.f64 z z) |
z |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z)) |
z |
#s(literal -1 binary64) |
(/.f64 #s(literal -1 binary64) z) |
#s(approx (- (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) z) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) |
(*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y) |
(-.f64 #s(literal 1 binary64) (log.f64 y)) |
#s(literal 1 binary64) |
(log.f64 y) |
y |
(fma.f64 #s(approx (- -1/2 y) (neg.f64 y)) (log.f64 y) #s(approx (+ x (- y z)) (-.f64 y z))) |
#s(approx (- -1/2 y) (neg.f64 y)) |
(neg.f64 y) |
y |
(log.f64 y) |
#s(approx (+ x (- y z)) (-.f64 y z)) |
(-.f64 y z) |
z |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (log.f64 y) | |
| accuracy | 0.09375 | (fma.f64 #s(approx (- -1/2 y) (neg.f64 y)) (log.f64 y) #s(approx (+ x (- y z)) (-.f64 y z))) | |
| accuracy | 17.598750571671292 | #s(approx (+ x (- y z)) (-.f64 y z)) | |
| accuracy | 29.126901786370443 | #s(approx (- -1/2 y) (neg.f64 y)) | |
| accuracy | 0 | (log.f64 y) | |
| accuracy | 0.0078125 | (-.f64 #s(literal 1 binary64) (log.f64 y)) | |
| accuracy | 0.25390625 | (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y) | |
| accuracy | 43.47105098576456 | #s(approx (- (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) z) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) | |
| accuracy | 0 | (*.f64 z z) | |
| accuracy | 0.140625 | (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z)) | |
| accuracy | 30.733738286848475 | (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z))) | |
| accuracy | 42.17019301864578 | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z)))) | |
| accuracy | 0 | (*.f64 (neg.f64 z) z) | |
| accuracy | 0 | (neg.f64 z) | |
| accuracy | 30.733738286848475 | (/.f64 (*.f64 (neg.f64 z) z) z) | |
| accuracy | 42.17019301864578 | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (neg.f64 z) z) z)) | |
| accuracy | 0.01171875 | (-.f64 (+.f64 #s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) y) x) (log.f64 y) #s(literal 1 binary64)) x)) y) z) | |
| accuracy | 0.09765625 | (+.f64 #s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) y) x) (log.f64 y) #s(literal 1 binary64)) x)) y) | |
| accuracy | 0.18816376953688405 | (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) y) x) (log.f64 y) #s(literal 1 binary64)) | |
| accuracy | 7.108829317217063 | (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) y) x) (log.f64 y) #s(literal 1 binary64)) x) |
| 84.0ms | 256× | 0 | valid |
Compiled 207 to 41 computations (80.2% saved)
ival-div: 12.0ms (21.6% of total)ival-sub: 12.0ms (21.6% of total)ival-mult: 11.0ms (19.8% of total)ival-add: 10.0ms (18% of total)ival-log: 8.0ms (14.4% of total)ival-neg: 2.0ms (3.6% of total)exact: 1.0ms (1.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) y) x) (log.f64 y) #s(literal 1 binary64)) x) (patch (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) y) x) (log.f64 y) #s(literal 1 binary64)) x) #<representation binary64>) () ()) |
#s(alt (-.f64 (+.f64 #s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) y) x) (log.f64 y) #s(literal 1 binary64)) x)) y) z) (patch (-.f64 (+.f64 #s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) y) x) (log.f64 y) #s(literal 1 binary64)) x)) y) z) #<representation binary64>) () ()) |
#s(alt (+.f64 #s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) y) x) (log.f64 y) #s(literal 1 binary64)) x)) y) (patch (+.f64 #s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) y) x) (log.f64 y) #s(literal 1 binary64)) x)) y) #<representation binary64>) () ()) |
#s(alt #s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) y) x) (log.f64 y) #s(literal 1 binary64)) x)) (patch #s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) y) x) (log.f64 y) #s(literal 1 binary64)) x)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (neg.f64 z) z) z) (patch (/.f64 (*.f64 (neg.f64 z) z) z) #<representation binary64>) () ()) |
#s(alt #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (neg.f64 z) z) z)) (patch #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (neg.f64 z) z) z)) #<representation binary64>) () ()) |
#s(alt (*.f64 (neg.f64 z) z) (patch (*.f64 (neg.f64 z) z) #<representation binary64>) () ()) |
#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z)) (patch (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z)) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z))) (patch (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z))) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 0 binary64) (*.f64 z z)) (patch (-.f64 #s(literal 0 binary64) (*.f64 z z)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z)))) (patch #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z)))) #<representation binary64>) () ()) |
#s(alt #s(approx (- (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) z) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) (patch #s(approx (- (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) z) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) #<representation binary64>) () ()) |
#s(alt (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y) (patch (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 1 binary64) (log.f64 y)) (patch (-.f64 #s(literal 1 binary64) (log.f64 y)) #<representation binary64>) () ()) |
#s(alt (log.f64 y) (patch (log.f64 y) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(approx (- -1/2 y) (neg.f64 y)) (log.f64 y) #s(approx (+ x (- y z)) (-.f64 y z))) (patch (fma.f64 #s(approx (- -1/2 y) (neg.f64 y)) (log.f64 y) #s(approx (+ x (- y z)) (-.f64 y z))) #<representation binary64>) () ()) |
#s(alt #s(approx (- -1/2 y) (neg.f64 y)) (patch #s(approx (- -1/2 y) (neg.f64 y)) #<representation binary64>) () ()) |
#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) y) x) (log.f64 y) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) y) x) (log.f64 y) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation binary64>) () ()) |
#s(alt #s(approx (+ x (- y z)) (-.f64 y z)) (patch #s(approx (+ x (- y z)) (-.f64 y z)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) (taylor 0 z) (#s(alt (-.f64 (+.f64 #s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) y) x) (log.f64 y) #s(literal 1 binary64)) x)) y) z) (patch (-.f64 (+.f64 #s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) y) x) (log.f64 y) #s(literal 1 binary64)) x)) y) z) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ y (+ (* -1 z) (* -1 (* (log y) (+ 1/2 y)))))) (taylor 0 z) (#s(alt (-.f64 (+.f64 #s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) y) x) (log.f64 y) #s(literal 1 binary64)) x)) y) z) (patch (-.f64 (+.f64 #s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) y) x) (log.f64 y) #s(literal 1 binary64)) x)) y) z) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ y (+ (* -1 z) (* -1 (* (log y) (+ 1/2 y)))))) (taylor 0 z) (#s(alt (-.f64 (+.f64 #s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) y) x) (log.f64 y) #s(literal 1 binary64)) x)) y) z) (patch (-.f64 (+.f64 #s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) y) x) (log.f64 y) #s(literal 1 binary64)) x)) y) z) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ y (+ (* -1 z) (* -1 (* (log y) (+ 1/2 y)))))) (taylor 0 z) (#s(alt (-.f64 (+.f64 #s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) y) x) (log.f64 y) #s(literal 1 binary64)) x)) y) z) (patch (-.f64 (+.f64 #s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) y) x) (log.f64 y) #s(literal 1 binary64)) x)) y) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor 0 z) (#s(alt (/.f64 (*.f64 (neg.f64 z) z) z) (patch (/.f64 (*.f64 (neg.f64 z) z) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor 0 z) (#s(alt (/.f64 (*.f64 (neg.f64 z) z) z) (patch (/.f64 (*.f64 (neg.f64 z) z) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor 0 z) (#s(alt (/.f64 (*.f64 (neg.f64 z) z) z) (patch (/.f64 (*.f64 (neg.f64 z) z) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor 0 z) (#s(alt (/.f64 (*.f64 (neg.f64 z) z) z) (patch (/.f64 (*.f64 (neg.f64 z) z) z) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x y) (* (log y) (+ 1/2 y))) (taylor 0 z) (#s(alt #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (neg.f64 z) z) z)) (patch #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (neg.f64 z) z) z)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y))) (taylor 0 z) (#s(alt #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (neg.f64 z) z) z)) (patch #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (neg.f64 z) z) z)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y))) (taylor 0 z) (#s(alt #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (neg.f64 z) z) z)) (patch #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (neg.f64 z) z) z)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y))) (taylor 0 z) (#s(alt #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (neg.f64 z) z) z)) (patch #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (neg.f64 z) z) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (pow z 2)) (taylor 0 z) (#s(alt (*.f64 (neg.f64 z) z) (patch (*.f64 (neg.f64 z) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (pow z 2)) (taylor 0 z) (#s(alt (*.f64 (neg.f64 z) z) (patch (*.f64 (neg.f64 z) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (pow z 2)) (taylor 0 z) (#s(alt (*.f64 (neg.f64 z) z) (patch (*.f64 (neg.f64 z) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (pow z 2)) (taylor 0 z) (#s(alt (*.f64 (neg.f64 z) z) (patch (*.f64 (neg.f64 z) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt z (taylor 0 z) (#s(alt (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z)) (patch (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt z (taylor 0 z) (#s(alt (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z)) (patch (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt z (taylor 0 z) (#s(alt (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z)) (patch (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt z (taylor 0 z) (#s(alt (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z)) (patch (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor 0 z) (#s(alt (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z))) (patch (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor 0 z) (#s(alt (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z))) (patch (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor 0 z) (#s(alt (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z))) (patch (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor 0 z) (#s(alt (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z))) (patch (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (pow z 2)) (taylor 0 z) (#s(alt (-.f64 #s(literal 0 binary64) (*.f64 z z)) (patch (-.f64 #s(literal 0 binary64) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (pow z 2)) (taylor 0 z) (#s(alt (-.f64 #s(literal 0 binary64) (*.f64 z z)) (patch (-.f64 #s(literal 0 binary64) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (pow z 2)) (taylor 0 z) (#s(alt (-.f64 #s(literal 0 binary64) (*.f64 z z)) (patch (-.f64 #s(literal 0 binary64) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (pow z 2)) (taylor 0 z) (#s(alt (-.f64 #s(literal 0 binary64) (*.f64 z z)) (patch (-.f64 #s(literal 0 binary64) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x y) (* (log y) (+ 1/2 y))) (taylor 0 z) (#s(alt #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z)))) (patch #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z)))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y))) (taylor 0 z) (#s(alt #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z)))) (patch #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z)))) #<representation binary64>) () ())) ()) |
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9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 23.0ms | y | @ | inf | ((* (+ (* (/ (- -1/2 y) x) (log y)) 1) x) (- (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) z) (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) (/ (* (neg z) z) z) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (* (neg z) z) (neg z) (/ -1 (/ -1 z)) (/ (- 0 (* z z)) (/ -1 (/ -1 z))) (- 0 (* z z)) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (- (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) z) (* (- 1 (log y)) y) (- 1 (log y)) (log y) (+ (* (- -1/2 y) (log y)) (+ x (- y z))) (- -1/2 y) (neg y) (+ (* (/ (- -1/2 y) x) (log y)) 1) (* z z) (+ x (- y z))) |
| 10.0ms | y | @ | 0 | ((* (+ (* (/ (- -1/2 y) x) (log y)) 1) x) (- (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) z) (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) (/ (* (neg z) z) z) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (* (neg z) z) (neg z) (/ -1 (/ -1 z)) (/ (- 0 (* z z)) (/ -1 (/ -1 z))) (- 0 (* z z)) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (- (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) z) (* (- 1 (log y)) y) (- 1 (log y)) (log y) (+ (* (- -1/2 y) (log y)) (+ x (- y z))) (- -1/2 y) (neg y) (+ (* (/ (- -1/2 y) x) (log y)) 1) (* z z) (+ x (- y z))) |
| 9.0ms | y | @ | -inf | ((* (+ (* (/ (- -1/2 y) x) (log y)) 1) x) (- (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) z) (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) (/ (* (neg z) z) z) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (* (neg z) z) (neg z) (/ -1 (/ -1 z)) (/ (- 0 (* z z)) (/ -1 (/ -1 z))) (- 0 (* z z)) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (- (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) z) (* (- 1 (log y)) y) (- 1 (log y)) (log y) (+ (* (- -1/2 y) (log y)) (+ x (- y z))) (- -1/2 y) (neg y) (+ (* (/ (- -1/2 y) x) (log y)) 1) (* z z) (+ x (- y z))) |
| 6.0ms | x | @ | -inf | ((* (+ (* (/ (- -1/2 y) x) (log y)) 1) x) (- (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) z) (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) (/ (* (neg z) z) z) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (* (neg z) z) (neg z) (/ -1 (/ -1 z)) (/ (- 0 (* z z)) (/ -1 (/ -1 z))) (- 0 (* z z)) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (- (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) z) (* (- 1 (log y)) y) (- 1 (log y)) (log y) (+ (* (- -1/2 y) (log y)) (+ x (- y z))) (- -1/2 y) (neg y) (+ (* (/ (- -1/2 y) x) (log y)) 1) (* z z) (+ x (- y z))) |
| 5.0ms | z | @ | 0 | ((* (+ (* (/ (- -1/2 y) x) (log y)) 1) x) (- (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) z) (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) (/ (* (neg z) z) z) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (* (neg z) z) (neg z) (/ -1 (/ -1 z)) (/ (- 0 (* z z)) (/ -1 (/ -1 z))) (- 0 (* z z)) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (- (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) z) (* (- 1 (log y)) y) (- 1 (log y)) (log y) (+ (* (- -1/2 y) (log y)) (+ x (- y z))) (- -1/2 y) (neg y) (+ (* (/ (- -1/2 y) x) (log y)) 1) (* z z) (+ x (- y z))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 250 | 4981 |
| 1 | 805 | 4531 |
| 2 | 2527 | 4366 |
| 0 | 8218 | 4057 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) |
(+ x (+ y (+ (* -1 z) (* -1 (* (log y) (+ 1/2 y)))))) |
(+ x (+ y (+ (* -1 z) (* -1 (* (log y) (+ 1/2 y)))))) |
(+ x (+ y (+ (* -1 z) (* -1 (* (log y) (+ 1/2 y)))))) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(- (+ x y) (* (log y) (+ 1/2 y))) |
(- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y))) |
(- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y))) |
(- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y))) |
(* -1 (pow z 2)) |
(* -1 (pow z 2)) |
(* -1 (pow z 2)) |
(* -1 (pow z 2)) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
z |
z |
z |
z |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 (pow z 2)) |
(* -1 (pow z 2)) |
(* -1 (pow z 2)) |
(* -1 (pow z 2)) |
(- (+ x y) (* (log y) (+ 1/2 y))) |
(- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y))) |
(- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y))) |
(- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y))) |
(+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) |
(+ x (+ y (+ (* -1 z) (* -1 (* (log y) (+ 1/2 y)))))) |
(+ x (+ y (+ (* -1 z) (* -1 (* (log y) (+ 1/2 y)))))) |
(+ x (+ y (+ (* -1 z) (* -1 (* (log y) (+ 1/2 y)))))) |
(+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) |
(+ x (+ y (+ (* -1 z) (* -1 (* (log y) (+ 1/2 y)))))) |
(+ x (+ y (+ (* -1 z) (* -1 (* (log y) (+ 1/2 y)))))) |
(+ x (+ y (+ (* -1 z) (* -1 (* (log y) (+ 1/2 y)))))) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(+ x y) |
(+ x (+ y (* -1 z))) |
(+ x (+ y (* -1 z))) |
(+ x (+ y (* -1 z))) |
(* -1 z) |
(* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z))) 1)) |
(* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z))) 1)) |
(* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z))) 1)) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z)))) |
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z)))) |
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z)))) |
(* -1 (pow z 2)) |
(* -1 (pow z 2)) |
(* -1 (pow z 2)) |
(* -1 (pow z 2)) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
z |
z |
z |
z |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 (pow z 2)) |
(* -1 (pow z 2)) |
(* -1 (pow z 2)) |
(* -1 (pow z 2)) |
(* -1 z) |
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z)))) |
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z)))) |
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z)))) |
(* -1 z) |
(* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z))) 1)) |
(* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z))) 1)) |
(* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z))) 1)) |
(* -1 z) |
(* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z))) 1)) |
(* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z))) 1)) |
(* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z))) 1)) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(* -1 z) |
(* z (- (+ (/ x z) (/ y z)) 1)) |
(* z (- (+ (/ x z) (/ y z)) 1)) |
(* z (- (+ (/ x z) (/ y z)) 1)) |
(* -1 z) |
(* -1 (* z (+ 1 (* -1 (/ (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z))))) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z))))) |
(* -1 (pow z 2)) |
(* -1 (pow z 2)) |
(* -1 (pow z 2)) |
(* -1 (pow z 2)) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
z |
z |
z |
z |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 (pow z 2)) |
(* -1 (pow z 2)) |
(* -1 (pow z 2)) |
(* -1 (pow z 2)) |
(* -1 z) |
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z))))) |
(* -1 z) |
(* -1 (* z (+ 1 (* -1 (/ (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z))))) |
(* -1 z) |
(* -1 (* z (+ 1 (* -1 (/ (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z))))) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(* -1 z) |
(* -1 (* z (+ 1 (* -1 (/ (+ x y) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (+ x y) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (+ x y) z))))) |
(* x (+ 1 (* -1/2 (/ (log y) x)))) |
(+ (* -1 (* y (log y))) (* x (+ 1 (* -1/2 (/ (log y) x))))) |
(+ (* -1 (* y (log y))) (* x (+ 1 (* -1/2 (/ (log y) x))))) |
(+ (* -1 (* y (log y))) (* x (+ 1 (* -1/2 (/ (log y) x))))) |
(- (+ x (* -1/2 (log y))) z) |
(- (+ x (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y)))))) z) |
(- (+ x (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y)))))) z) |
(- (+ x (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y)))))) z) |
(+ x (* -1/2 (log y))) |
(+ x (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y)))))) |
(+ x (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y)))))) |
(+ x (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y)))))) |
(+ x (* -1/2 (log y))) |
(+ x (+ (* -1 (* y (log y))) (* -1/2 (log y)))) |
(+ x (+ (* -1 (* y (log y))) (* -1/2 (log y)))) |
(+ x (+ (* -1 (* y (log y))) (* -1/2 (log y)))) |
(- x (+ z (* 1/2 (log y)))) |
(- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y)))) |
(- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y)))) |
(- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y)))) |
(- x (+ z (* 1/2 (log y)))) |
(- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y)))) |
(- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y)))) |
(- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y)))) |
(- (+ x (* -1/2 (log y))) z) |
(- (+ x (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y)))))) z) |
(- (+ x (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y)))))) z) |
(- (+ x (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y)))))) z) |
(* y (- 1 (log y))) |
(* y (- 1 (log y))) |
(* y (- 1 (log y))) |
(* y (- 1 (log y))) |
(- 1 (log y)) |
(- 1 (log y)) |
(- 1 (log y)) |
(- 1 (log y)) |
(log y) |
(log y) |
(log y) |
(log y) |
(- (+ x (* -1/2 (log y))) z) |
(- (+ x (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y)))))) z) |
(- (+ x (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y)))))) z) |
(- (+ x (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y)))))) z) |
-1/2 |
(- (* -1 y) 1/2) |
(- (* -1 y) 1/2) |
(- (* -1 y) 1/2) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(+ 1 (* -1/2 (/ (log y) x))) |
(+ 1 (+ (* -1 (/ (* y (log y)) x)) (* -1/2 (/ (log y) x)))) |
(+ 1 (+ (* -1 (/ (* y (log y)) x)) (* -1/2 (/ (log y) x)))) |
(+ 1 (+ (* -1 (/ (* y (log y)) x)) (* -1/2 (/ (log y) x)))) |
(- x z) |
(- (+ x y) z) |
(- (+ x y) z) |
(- (+ x y) z) |
(* y (log (/ 1 y))) |
(* y (+ (log (/ 1 y)) (/ (* x (+ 1 (* 1/2 (/ (log (/ 1 y)) x)))) y))) |
(* y (+ (log (/ 1 y)) (/ (* x (+ 1 (* 1/2 (/ (log (/ 1 y)) x)))) y))) |
(* y (+ (log (/ 1 y)) (/ (* x (+ 1 (* 1/2 (/ (log (/ 1 y)) x)))) y))) |
(* y (+ 1 (log (/ 1 y)))) |
(* y (- (+ 1 (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y)))) (/ z y))) |
(* y (- (+ 1 (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y)))) (/ z y))) |
(* y (- (+ 1 (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y)))) (/ z y))) |
(* y (+ 1 (log (/ 1 y)))) |
(* y (+ 1 (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y))))) |
(* y (+ 1 (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y))))) |
(* y (+ 1 (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y))))) |
(* y (log (/ 1 y))) |
(* y (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y)))) |
(* y (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y)))) |
(* y (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y)))) |
(* y (- 1 (* -1 (log (/ 1 y))))) |
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y))))) |
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y))))) |
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y))))) |
(* y (- 1 (* -1 (log (/ 1 y))))) |
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y))))) |
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y))))) |
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y))))) |
(* y (+ 1 (log (/ 1 y)))) |
(* y (- (+ 1 (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y)))) (/ z y))) |
(* y (- (+ 1 (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y)))) (/ z y))) |
(* y (- (+ 1 (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y)))) (/ z y))) |
(* y (- 1 (* -1 (log (/ 1 y))))) |
(* y (- 1 (* -1 (log (/ 1 y))))) |
(* y (- 1 (* -1 (log (/ 1 y))))) |
(* y (- 1 (* -1 (log (/ 1 y))))) |
(- 1 (* -1 (log (/ 1 y)))) |
(- 1 (* -1 (log (/ 1 y)))) |
(- 1 (* -1 (log (/ 1 y)))) |
(- 1 (* -1 (log (/ 1 y)))) |
(* -1 (log (/ 1 y))) |
(* -1 (log (/ 1 y))) |
(* -1 (log (/ 1 y))) |
(* -1 (log (/ 1 y))) |
(* y (+ 1 (log (/ 1 y)))) |
(* y (- (+ 1 (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y)))) (/ z y))) |
(* y (- (+ 1 (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y)))) (/ z y))) |
(* y (- (+ 1 (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y)))) (/ z y))) |
(* -1 y) |
(* -1 (* y (+ 1 (* 1/2 (/ 1 y))))) |
(* -1 (* y (+ 1 (* 1/2 (/ 1 y))))) |
(* -1 (* y (+ 1 (* 1/2 (/ 1 y))))) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(/ (* y (log (/ 1 y))) x) |
(* y (+ (* 1/2 (/ (log (/ 1 y)) (* x y))) (+ (/ 1 y) (/ (log (/ 1 y)) x)))) |
(* y (+ (* 1/2 (/ (log (/ 1 y)) (* x y))) (+ (/ 1 y) (/ (log (/ 1 y)) x)))) |
(* y (+ (* 1/2 (/ (log (/ 1 y)) (* x y))) (+ (/ 1 y) (/ (log (/ 1 y)) x)))) |
y |
(* y (- (+ 1 (/ x y)) (/ z y))) |
(* y (- (+ 1 (/ x y)) (/ z y))) |
(* y (- (+ 1 (/ x y)) (/ z y))) |
(* -1 (* x (* y (+ (* -1 (/ (log (/ -1 y)) x)) (/ (log -1) x))))) |
(* -1 (* y (+ (* -1 (/ (* x (+ 1 (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x)))) y)) (* x (+ (* -1 (/ (log (/ -1 y)) x)) (/ (log -1) x)))))) |
(* -1 (* y (+ (* -1 (/ (* x (+ 1 (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x)))) y)) (* x (+ (* -1 (/ (log (/ -1 y)) x)) (/ (log -1) x)))))) |
(* -1 (* y (+ (* -1 (/ (* x (+ 1 (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x)))) y)) (* x (+ (* -1 (/ (log (/ -1 y)) x)) (/ (log -1) x)))))) |
(* -1 (* y (- (+ (log -1) (* -1 (log (/ -1 y)))) 1))) |
(* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) z) y)))) 1))) |
(* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) z) y)))) 1))) |
(* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) z) y)))) 1))) |
(* -1 (* y (- (+ (log -1) (* -1 (log (/ -1 y)))) 1))) |
(* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)))) 1))) |
(* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)))) 1))) |
(* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)))) 1))) |
(* -1 (* y (+ (log -1) (* -1 (log (/ -1 y)))))) |
(* -1 (* y (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)))))) |
(* -1 (* y (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)))))) |
(* -1 (* y (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)))))) |
(* y (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))) |
(* -1 (* y (- (* -1 (/ (- x (+ z (* 1/2 (+ (log -1) (* -1 (log (/ -1 y))))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))))) |
(* -1 (* y (- (* -1 (/ (- x (+ z (* 1/2 (+ (log -1) (* -1 (log (/ -1 y))))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))))) |
(* -1 (* y (- (* -1 (/ (- x (+ z (* 1/2 (+ (log -1) (* -1 (log (/ -1 y))))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))))) |
(* y (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))) |
(* -1 (* y (- (* -1 (/ (- x (+ z (* 1/2 (+ (log -1) (* -1 (log (/ -1 y))))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))))) |
(* -1 (* y (- (* -1 (/ (- x (+ z (* 1/2 (+ (log -1) (* -1 (log (/ -1 y))))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))))) |
(* -1 (* y (- (* -1 (/ (- x (+ z (* 1/2 (+ (log -1) (* -1 (log (/ -1 y))))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))))) |
(* -1 (* y (- (+ (log -1) (* -1 (log (/ -1 y)))) 1))) |
(* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) z) y)))) 1))) |
(* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) z) y)))) 1))) |
(* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) z) y)))) 1))) |
(* y (- 1 (+ (log -1) (* -1 (log (/ -1 y)))))) |
(* y (- 1 (+ (log -1) (* -1 (log (/ -1 y)))))) |
(* y (- 1 (+ (log -1) (* -1 (log (/ -1 y)))))) |
(* y (- 1 (+ (log -1) (* -1 (log (/ -1 y)))))) |
(- 1 (+ (log -1) (* -1 (log (/ -1 y))))) |
(- 1 (+ (log -1) (* -1 (log (/ -1 y))))) |
(- 1 (+ (log -1) (* -1 (log (/ -1 y))))) |
(- 1 (+ (log -1) (* -1 (log (/ -1 y))))) |
(+ (log -1) (* -1 (log (/ -1 y)))) |
(+ (log -1) (* -1 (log (/ -1 y)))) |
(+ (log -1) (* -1 (log (/ -1 y)))) |
(+ (log -1) (* -1 (log (/ -1 y)))) |
(* -1 (* y (- (+ (log -1) (* -1 (log (/ -1 y)))) 1))) |
(* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) z) y)))) 1))) |
(* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) z) y)))) 1))) |
(* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) z) y)))) 1))) |
(* -1 y) |
(* -1 (* y (+ 1 (* 1/2 (/ 1 y))))) |
(* -1 (* y (+ 1 (* 1/2 (/ 1 y))))) |
(* -1 (* y (+ 1 (* 1/2 (/ 1 y))))) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 (* y (+ (* -1 (/ (log (/ -1 y)) x)) (/ (log -1) x)))) |
(* -1 (* y (+ (* -1 (/ (log (/ -1 y)) x)) (+ (* -1 (/ (+ 1 (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x))) y)) (/ (log -1) x))))) |
(* -1 (* y (+ (* -1 (/ (log (/ -1 y)) x)) (+ (* -1 (/ (+ 1 (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x))) y)) (/ (log -1) x))))) |
(* -1 (* y (+ (* -1 (/ (log (/ -1 y)) x)) (+ (* -1 (/ (+ 1 (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x))) y)) (/ (log -1) x))))) |
y |
(* -1 (* y (- (* -1 (/ (- x z) y)) 1))) |
(* -1 (* y (- (* -1 (/ (- x z) y)) 1))) |
(* -1 (* y (- (* -1 (/ (- x z) y)) 1))) |
(* -1 (* (log y) (+ 1/2 y))) |
(+ x (* -1 (* (log y) (+ 1/2 y)))) |
(+ x (* -1 (* (log y) (+ 1/2 y)))) |
(+ x (* -1 (* (log y) (+ 1/2 y)))) |
(- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) |
(- (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z) |
(- (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z) |
(- (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z) |
(+ 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))))) |
(* -1 (* (log y) (+ 1/2 y))) |
(+ x (* -1 (* (log y) (+ 1/2 y)))) |
(+ x (* -1 (* (log y) (+ 1/2 y)))) |
(+ x (* -1 (* (log y) (+ 1/2 y)))) |
(- y (+ z (* (log y) (+ 1/2 y)))) |
(- (+ x y) (+ z (* (log y) (+ 1/2 y)))) |
(- (+ x y) (+ z (* (log y) (+ 1/2 y)))) |
(- (+ x y) (+ z (* (log y) (+ 1/2 y)))) |
(- y (+ z (* (log y) (+ 1/2 y)))) |
(- (+ x y) (+ z (* (log y) (+ 1/2 y)))) |
(- (+ x y) (+ z (* (log y) (+ 1/2 y)))) |
(- (+ x y) (+ z (* (log y) (+ 1/2 y)))) |
(- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) |
(- (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z) |
(- (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z) |
(- (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z) |
(- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) |
(- (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z) |
(- (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z) |
(- (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z) |
(* -1 (/ (* (log y) (+ 1/2 y)) x)) |
(/ (+ x (* -1 (* (log y) (+ 1/2 y)))) x) |
(/ (+ x (* -1 (* (log y) (+ 1/2 y)))) x) |
(/ (+ x (* -1 (* (log y) (+ 1/2 y)))) x) |
(- y z) |
(- (+ x y) z) |
(- (+ x y) z) |
(- (+ x y) z) |
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 (+ (* -1 (/ (* (log y) (+ 1/2 y)) x)) (/ y x))) (/ z x))) |
(* x (- (+ 1 (+ (* -1 (/ (* (log y) (+ 1/2 y)) x)) (/ y x))) (/ z x))) |
(* x (- (+ 1 (+ (* -1 (/ (* (log y) (+ 1/2 y)) x)) (/ y x))) (/ z x))) |
x |
(* x (+ 1 (+ (* -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 |
(* 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)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x)))) |
(* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x)))) |
(* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x)))) |
x |
(* x (- (+ 1 (+ (* -1 (/ (* (log y) (+ 1/2 y)) x)) (/ y x))) (/ z x))) |
(* x (- (+ 1 (+ (* -1 (/ (* (log y) (+ 1/2 y)) x)) (/ y x))) (/ z x))) |
(* x (- (+ 1 (+ (* -1 (/ (* (log y) (+ 1/2 y)) x)) (/ y x))) (/ z x))) |
x |
(* x (- (+ 1 (+ (* -1 (/ (* (log y) (+ 1/2 y)) x)) (/ y x))) (/ z x))) |
(* x (- (+ 1 (+ (* -1 (/ (* (log y) (+ 1/2 y)) x)) (/ y x))) (/ z x))) |
(* x (- (+ 1 (+ (* -1 (/ (* (log y) (+ 1/2 y)) x)) (/ y x))) (/ z x))) |
1 |
(+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x))) |
(+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x))) |
(+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x))) |
x |
(* x (- (+ 1 (/ y x)) (/ z x))) |
(* x (- (+ 1 (/ y x)) (/ z x))) |
(* x (- (+ 1 (/ y x)) (/ z x))) |
x |
(* -1 (* x (- (/ (* (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 (* -1 (* (log y) (+ 1/2 y)))) z) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) x)) 1))) |
x |
(* -1 (* x (- (* -1 (/ (+ y (* -1 (* (log y) (+ 1/2 y)))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ y (* -1 (* (log y) (+ 1/2 y)))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ y (* -1 (* (log y) (+ 1/2 y)))) x)) 1))) |
x |
(* -1 (* x (- (/ (* (log y) (+ 1/2 y)) x) 1))) |
(* -1 (* x (- (/ (* (log y) (+ 1/2 y)) x) 1))) |
(* -1 (* x (- (/ (* (log y) (+ 1/2 y)) x) 1))) |
x |
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1))) |
x |
(* -1 (* x (- (* -1 (/ (- y (+ z (* (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 (* -1 (* (log y) (+ 1/2 y)))) z) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) x)) 1))) |
x |
(* -1 (* x (- (* -1 (/ (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) x)) 1))) |
1 |
(+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x))) |
(+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x))) |
(+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x))) |
x |
(* -1 (* x (- (* -1 (/ (- y z) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- y z) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- y z) x)) 1))) |
| Outputs |
|---|
(+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) |
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(* x (- (+ 1 (+ (* -1 (/ (* (log y) (+ 1/2 y)) x)) (/ y x))) (/ z x))) |
(fma.f64 (/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x) x x) |
(* x (- (+ 1 (+ (* -1 (/ (* (log y) (+ 1/2 y)) x)) (/ y x))) (/ z x))) |
(fma.f64 (/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x) x x) |
(* x (- (+ 1 (+ (* -1 (/ (* (log y) (+ 1/2 y)) x)) (/ y x))) (/ z x))) |
(fma.f64 (/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x) x x) |
x |
(* x (- (+ 1 (+ (* -1 (/ (* (log y) (+ 1/2 y)) x)) (/ y x))) (/ z x))) |
(fma.f64 (/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x) x x) |
(* x (- (+ 1 (+ (* -1 (/ (* (log y) (+ 1/2 y)) x)) (/ y x))) (/ z x))) |
(fma.f64 (/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x) x x) |
(* x (- (+ 1 (+ (* -1 (/ (* (log y) (+ 1/2 y)) x)) (/ y x))) (/ z x))) |
(fma.f64 (/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x) x x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x))) |
(fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) y) x) (log.f64 y) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x))) |
(fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) y) x) (log.f64 y) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x))) |
(fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) y) x) (log.f64 y) #s(literal 1 binary64)) |
x |
(* x (- (+ 1 (/ y x)) (/ z x))) |
(fma.f64 (/.f64 (-.f64 y z) x) x x) |
(* x (- (+ 1 (/ y x)) (/ z x))) |
(fma.f64 (/.f64 (-.f64 y z) x) x x) |
(* x (- (+ 1 (/ y x)) (/ z x))) |
(fma.f64 (/.f64 (-.f64 y z) x) 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 (* -1 (* (log y) (+ 1/2 y)))) z) 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 (* -1 (* (log y) (+ 1/2 y)))) z) 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 (* -1 (* (log y) (+ 1/2 y)))) z) 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 (* -1 (* (log y) (+ 1/2 y)))) x)) 1))) |
(fma.f64 (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y) x) x x) |
(* -1 (* x (- (* -1 (/ (+ y (* -1 (* (log y) (+ 1/2 y)))) x)) 1))) |
(fma.f64 (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y) x) x x) |
(* -1 (* x (- (* -1 (/ (+ y (* -1 (* (log y) (+ 1/2 y)))) x)) 1))) |
(fma.f64 (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y) x) x x) |
x |
(* -1 (* x (- (/ (* (log y) (+ 1/2 y)) x) 1))) |
(*.f64 (fma.f64 (/.f64 (-.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))) |
(fma.f64 (/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x) x x) |
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1))) |
(fma.f64 (/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x) x x) |
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1))) |
(fma.f64 (/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x) x x) |
x |
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1))) |
(fma.f64 (/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x) x x) |
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1))) |
(fma.f64 (/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x) x x) |
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1))) |
(fma.f64 (/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x) x x) |
x |
(* -1 (* x (- (* -1 (/ (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) 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 (* -1 (* (log y) (+ 1/2 y)))) z) 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 (* -1 (* (log y) (+ 1/2 y)))) z) 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 (* -1 (* (log y) (+ 1/2 y)))) z) 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 (* -1 (* (log y) (+ 1/2 y)))) z) 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 (* -1 (* (log y) (+ 1/2 y)))) z) x)) 1))) |
(fma.f64 (/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x) x x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x))) |
(fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) y) x) (log.f64 y) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x))) |
(fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) y) x) (log.f64 y) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x))) |
(fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) y) x) (log.f64 y) #s(literal 1 binary64)) |
x |
(* -1 (* x (- (* -1 (/ (- y z) x)) 1))) |
(fma.f64 (/.f64 (-.f64 y z) x) x x) |
(* -1 (* x (- (* -1 (/ (- y z) x)) 1))) |
(fma.f64 (/.f64 (-.f64 y z) x) x x) |
(* -1 (* x (- (* -1 (/ (- y z) x)) 1))) |
(fma.f64 (/.f64 (-.f64 y z) x) x x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 49 | 247 |
| 0 | 72 | 222 |
| 1 | 357 | 200 |
| 2 | 3161 | 200 |
| 0 | 8340 | 194 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) y) x) (log.f64 y) #s(literal 1 binary64)) x) |
(-.f64 (+.f64 #s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) y) x) (log.f64 y) #s(literal 1 binary64)) x)) y) z) |
(+.f64 #s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) y) x) (log.f64 y) #s(literal 1 binary64)) x)) y) |
#s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) y) x) (log.f64 y) #s(literal 1 binary64)) x)) |
(/.f64 (*.f64 (neg.f64 z) z) z) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (neg.f64 z) z) z)) |
(*.f64 (neg.f64 z) z) |
(neg.f64 z) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z))) |
(-.f64 #s(literal 0 binary64) (*.f64 z z)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z)))) |
#s(approx (- (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) z) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) |
(*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y) |
(-.f64 #s(literal 1 binary64) (log.f64 y)) |
(log.f64 y) |
(fma.f64 #s(approx (- -1/2 y) (neg.f64 y)) (log.f64 y) #s(approx (+ x (- y z)) (-.f64 y z))) |
#s(approx (- -1/2 y) (neg.f64 y)) |
(neg.f64 y) |
(fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) y) x) (log.f64 y) #s(literal 1 binary64)) |
(*.f64 z z) |
#s(approx (+ x (- y z)) (-.f64 y z)) |
| Outputs |
|---|
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Compiled 21 054 to 2 547 computations (87.9% saved)
30 alts after pruning (23 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 244 | 10 | 1 254 |
| Fresh | 2 | 13 | 15 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 4 | 4 |
| Total | 1 248 | 30 | 1 278 |
| Status | Accuracy | Program |
|---|---|---|
| 76.0% | (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 y) #s(literal -1 binary64))) #s(approx (+ x (- y z)) (-.f64 y z))) | |
| ✓ | 64.5% | (fma.f64 #s(approx (- -1/2 y) (neg.f64 y)) (log.f64 y) #s(approx (+ x (- y z)) (-.f64 y z))) |
| 43.7% | (fma.f64 #s(approx (- -1/2 y) (neg.f64 y)) (log.f64 y) #s(approx (+ x (- y z)) (neg.f64 z))) | |
| 49.6% | (-.f64 (/.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) (log.f64 y)) (-.f64 x y) (*.f64 (-.f64 y #s(literal 1/2 binary64)) (-.f64 (*.f64 x x) (*.f64 y y)))) (*.f64 (-.f64 y #s(literal 1/2 binary64)) (-.f64 x y))) z) | |
| ✓ | 64.5% | (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (- -1/2 y) (log y)) x) (*.f64 (neg.f64 (log.f64 y)) y)))) y) z) |
| 57.2% | (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- -1/2 y) (log y)) x)) (/.f64 #s(literal 1 binary64) x))) y) z) | |
| 87.9% | (-.f64 (+.f64 (-.f64 x (/.f64 (log.f64 y) #s(approx (/ 1 (+ 1/2 y)) (/.f64 #s(literal 1 binary64) y)))) y) z) | |
| 54.0% | (-.f64 (+.f64 #s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) (*.f64 #s(approx (+ (* (/ (- -1/2 y) x) (log y)) 1) (*.f64 (neg.f64 y) (/.f64 (log.f64 y) x))) x)) y) z) | |
| 57.3% | (-.f64 (+.f64 #s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) (*.f64 #s(approx (+ (* (/ (- -1/2 y) x) (log y)) 1) #s(literal 1 binary64)) x)) y) z) | |
| 64.5% | (-.f64 #s(approx (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) z) | |
| ✓ | 70.0% | (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z) |
| ✓ | 46.0% | (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) #s(approx (+ (* -1/2 (log y)) x) (*.f64 #s(literal -1/2 binary64) (log.f64 y)))) z) |
| ✓ | 32.0% | #s(approx (- (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) z) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) |
| 10.0% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (*.f64 (neg.f64 z) (*.f64 (neg.f64 z) z)) (neg.f64 z)) (+.f64 #s(literal 0 binary64) z))) | |
| 7.2% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 z z)) (/.f64 (*.f64 z z) (/.f64 #s(literal -1 binary64) z))))) | |
| 10.9% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 z) z)))) | |
| 13.2% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)) z) z)) | |
| 13.3% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z)))) | |
| ✓ | 13.3% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (neg.f64 z) z) z)) |
| 34.1% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z))) | |
| 51.5% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y #s(literal 1/2 binary64)) (fma.f64 y y #s(literal -1/4 binary64)))) (log.f64 y) z))) | |
| 66.1% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y #s(approx (+ (* (+ 1/2 y) (log y)) z) (fma.f64 (*.f64 z (log.f64 y)) (/.f64 (+.f64 #s(literal 1/2 binary64) y) z) z)))) | |
| 42.8% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y #s(approx (+ (* (+ 1/2 y) (log y)) z) (*.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y))))) | |
| 31.9% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y #s(approx (+ (* (+ 1/2 y) (log y)) z) (*.f64 (log.f64 y) y)))) | |
| 7.7% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (/.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal -1 binary64) z)) (/.f64 #s(literal -1 binary64) (*.f64 z z)))) | |
| 13.3% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (/.f64 (neg.f64 z) (/.f64 #s(literal -1 binary64) z)) (/.f64 #s(literal -1 binary64) z))) | |
| 13.3% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z))) | |
| ✓ | 34.1% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z)) |
| 66.2% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (- y (+ (* (+ 1/2 y) (log y)) z)) (fma.f64 (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y) z) z (neg.f64 z)))) | |
| 42.8% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (- y (+ (* (+ 1/2 y) (log y)) z)) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y))) |
Compiled 938 to 505 computations (46.2% saved)
| Inputs |
|---|
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z)) |
(-.f64 (+.f64 #s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) (*.f64 #s(approx (+ (* (/ (- -1/2 y) x) (log y)) 1) #s(literal 1 binary64)) x)) y) z) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (neg.f64 z) z) z)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (*.f64 z z) (/.f64 #s(literal -1 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z))) |
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- -1/2 y) (log y)) x)) (/.f64 #s(literal 1 binary64) x))) y) z) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)) z) z)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (/.f64 (neg.f64 z) (/.f64 #s(literal -1 binary64) z)) (/.f64 #s(literal -1 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (*.f64 (neg.f64 z) (*.f64 (neg.f64 z) z)) (neg.f64 z)) (+.f64 #s(literal 0 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal -1 binary64) z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 z) z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (/.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal -1 binary64) z)) (/.f64 #s(literal -1 binary64) (*.f64 z z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 z z)) (/.f64 (*.f64 z z) (/.f64 #s(literal -1 binary64) z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y #s(approx (+ (* (+ 1/2 y) (log y)) z) (*.f64 (log.f64 y) y)))) |
#s(approx (- (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) z) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) |
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) #s(approx (+ (* -1/2 (log y)) x) (*.f64 #s(literal -1/2 binary64) (log.f64 y)))) z) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (- y (+ (* (+ 1/2 y) (log y)) z)) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y))) |
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z) |
(fma.f64 #s(approx (- -1/2 y) (neg.f64 y)) (log.f64 y) #s(approx (+ x (- y z)) (neg.f64 z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y #s(approx (+ (* (+ 1/2 y) (log y)) z) (*.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y))))) |
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) z) |
(-.f64 #s(approx (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) z) |
(fma.f64 #s(approx (- -1/2 y) (neg.f64 y)) (log.f64 y) #s(approx (+ x (- y z)) (-.f64 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))) |
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) #s(approx (+ x (- y z)) (-.f64 y z))) |
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))) |
(-.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) #s(approx (- y (+ (* (+ 1/2 y) (log y)) z)) (fma.f64 (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y) z) z (neg.f64 z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y #s(approx (+ (* (+ 1/2 y) (log y)) z) (fma.f64 (*.f64 z (log.f64 y)) (/.f64 (+.f64 #s(literal 1/2 binary64) y) z) z)))) |
(-.f64 (+.f64 #s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) (*.f64 #s(approx (+ (* (/ (- -1/2 y) x) (log y)) 1) (*.f64 (neg.f64 y) (/.f64 (log.f64 y) x))) x)) y) z) |
(-.f64 (+.f64 #s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) y) x) (log.f64 y) #s(literal 1 binary64)) x)) y) z) |
(-.f64 (+.f64 (-.f64 x (/.f64 (log.f64 y) #s(approx (/ 1 (+ 1/2 y)) (/.f64 #s(literal 1 binary64) y)))) y) z) |
(-.f64 (+.f64 (-.f64 x (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) y)))) y) z) |
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (- -1/2 y) (log y)) x) (*.f64 (neg.f64 (log.f64 y)) y)))) y) z) |
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x))) y) z) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y #s(literal 1/2 binary64)) (fma.f64 y y #s(literal -1/4 binary64)))) (log.f64 y) 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)) |
(-.f64 (/.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) (log.f64 y)) (-.f64 x y) (*.f64 (-.f64 y #s(literal 1/2 binary64)) (-.f64 (*.f64 x x) (*.f64 y y)))) (*.f64 (-.f64 y #s(literal 1/2 binary64)) (-.f64 x y))) z) |
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 y) #s(literal -1 binary64))) #s(approx (+ x (- y z)) (-.f64 y z))) |
(fma.f64 (*.f64 (neg.f64 (log.f64 y)) (fma.f64 y y #s(literal -1/4 binary64))) (pow.f64 (-.f64 y #s(literal 1/2 binary64)) #s(literal -1 binary64)) (+.f64 x (-.f64 y z))) |
(-.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x) #s(literal 2 binary64)) (*.f64 y y)) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (-.f64 x y))) z) |
| Outputs |
|---|
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))) |
5 calls:
| 17.0ms | y |
| 16.0ms | (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) |
| 13.0ms | (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) |
| 13.0ms | x |
| 13.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 1 | x |
| 99.9% | 1 | y |
| 99.9% | 1 | z |
| 99.9% | 1 | (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) |
| 99.9% | 1 | (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) |
Compiled 25 to 28 computations (-12% saved)
| Inputs |
|---|
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z)) |
(-.f64 (+.f64 #s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) (*.f64 #s(approx (+ (* (/ (- -1/2 y) x) (log y)) 1) #s(literal 1 binary64)) x)) y) z) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (neg.f64 z) z) z)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (*.f64 z z) (/.f64 #s(literal -1 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z))) |
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- -1/2 y) (log y)) x)) (/.f64 #s(literal 1 binary64) x))) y) z) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)) z) z)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (/.f64 (neg.f64 z) (/.f64 #s(literal -1 binary64) z)) (/.f64 #s(literal -1 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (*.f64 (neg.f64 z) (*.f64 (neg.f64 z) z)) (neg.f64 z)) (+.f64 #s(literal 0 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal -1 binary64) z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 z) z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (/.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal -1 binary64) z)) (/.f64 #s(literal -1 binary64) (*.f64 z z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 z z)) (/.f64 (*.f64 z z) (/.f64 #s(literal -1 binary64) z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y #s(approx (+ (* (+ 1/2 y) (log y)) z) (*.f64 (log.f64 y) y)))) |
#s(approx (- (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) z) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) |
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) #s(approx (+ (* -1/2 (log y)) x) (*.f64 #s(literal -1/2 binary64) (log.f64 y)))) z) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (- y (+ (* (+ 1/2 y) (log y)) z)) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y))) |
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z) |
(fma.f64 #s(approx (- -1/2 y) (neg.f64 y)) (log.f64 y) #s(approx (+ x (- y z)) (neg.f64 z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y #s(approx (+ (* (+ 1/2 y) (log y)) z) (*.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y))))) |
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) z) |
(-.f64 #s(approx (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) z) |
(fma.f64 #s(approx (- -1/2 y) (neg.f64 y)) (log.f64 y) #s(approx (+ x (- y z)) (-.f64 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))) |
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) #s(approx (+ x (- y z)) (-.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) |
(fma.f64 #s(approx (- -1/2 y) (neg.f64 y)) (log.f64 y) #s(approx (+ x (- y z)) (-.f64 y z))) |
5 calls:
| 12.0ms | (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) |
| 11.0ms | x |
| 9.0ms | (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) |
| 9.0ms | z |
| 9.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.6% | 3 | x |
| 92.3% | 2 | y |
| 80.5% | 3 | z |
| 86.2% | 2 | (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) |
| 86.7% | 2 | (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) |
Compiled 25 to 28 computations (-12% saved)
| Inputs |
|---|
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z)) |
(-.f64 (+.f64 #s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) (*.f64 #s(approx (+ (* (/ (- -1/2 y) x) (log y)) 1) #s(literal 1 binary64)) x)) y) z) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (neg.f64 z) z) z)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (*.f64 z z) (/.f64 #s(literal -1 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z))) |
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- -1/2 y) (log y)) x)) (/.f64 #s(literal 1 binary64) x))) y) z) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)) z) z)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (/.f64 (neg.f64 z) (/.f64 #s(literal -1 binary64) z)) (/.f64 #s(literal -1 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (*.f64 (neg.f64 z) (*.f64 (neg.f64 z) z)) (neg.f64 z)) (+.f64 #s(literal 0 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal -1 binary64) z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 z) z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (/.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal -1 binary64) z)) (/.f64 #s(literal -1 binary64) (*.f64 z z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 z z)) (/.f64 (*.f64 z z) (/.f64 #s(literal -1 binary64) z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y #s(approx (+ (* (+ 1/2 y) (log y)) z) (*.f64 (log.f64 y) y)))) |
#s(approx (- (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) z) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) |
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) #s(approx (+ (* -1/2 (log y)) x) (*.f64 #s(literal -1/2 binary64) (log.f64 y)))) z) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (- y (+ (* (+ 1/2 y) (log y)) z)) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y))) |
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z) |
(fma.f64 #s(approx (- -1/2 y) (neg.f64 y)) (log.f64 y) #s(approx (+ x (- y z)) (neg.f64 z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y #s(approx (+ (* (+ 1/2 y) (log y)) z) (*.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y))))) |
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) z) |
(-.f64 #s(approx (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) z) |
| Outputs |
|---|
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z) |
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) z) |
1 calls:
| 8.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.3% | 2 | y |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z)) |
(-.f64 (+.f64 #s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) (*.f64 #s(approx (+ (* (/ (- -1/2 y) x) (log y)) 1) #s(literal 1 binary64)) x)) y) z) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (neg.f64 z) z) z)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (*.f64 z z) (/.f64 #s(literal -1 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z))) |
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- -1/2 y) (log y)) x)) (/.f64 #s(literal 1 binary64) x))) y) z) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)) z) z)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (/.f64 (neg.f64 z) (/.f64 #s(literal -1 binary64) z)) (/.f64 #s(literal -1 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (*.f64 (neg.f64 z) (*.f64 (neg.f64 z) z)) (neg.f64 z)) (+.f64 #s(literal 0 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal -1 binary64) z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 z) z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (/.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal -1 binary64) z)) (/.f64 #s(literal -1 binary64) (*.f64 z z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 z z)) (/.f64 (*.f64 z z) (/.f64 #s(literal -1 binary64) z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y #s(approx (+ (* (+ 1/2 y) (log y)) z) (*.f64 (log.f64 y) y)))) |
#s(approx (- (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) z) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) |
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) #s(approx (+ (* -1/2 (log y)) x) (*.f64 #s(literal -1/2 binary64) (log.f64 y)))) z) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (- y (+ (* (+ 1/2 y) (log y)) z)) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y))) |
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z) |
(fma.f64 #s(approx (- -1/2 y) (neg.f64 y)) (log.f64 y) #s(approx (+ x (- y z)) (neg.f64 z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y #s(approx (+ (* (+ 1/2 y) (log y)) z) (*.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y))))) |
| Outputs |
|---|
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (- y (+ (* (+ 1/2 y) (log y)) z)) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y))) |
2 calls:
| 9.0ms | x |
| 7.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 70.0% | 1 | x |
| 88.5% | 2 | y |
Compiled 2 to 6 computations (-200% saved)
| Inputs |
|---|
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z)) |
(-.f64 (+.f64 #s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) (*.f64 #s(approx (+ (* (/ (- -1/2 y) x) (log y)) 1) #s(literal 1 binary64)) x)) y) z) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (neg.f64 z) z) z)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (*.f64 z z) (/.f64 #s(literal -1 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z))) |
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- -1/2 y) (log y)) x)) (/.f64 #s(literal 1 binary64) x))) y) z) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)) z) z)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (/.f64 (neg.f64 z) (/.f64 #s(literal -1 binary64) z)) (/.f64 #s(literal -1 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (*.f64 (neg.f64 z) (*.f64 (neg.f64 z) z)) (neg.f64 z)) (+.f64 #s(literal 0 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal -1 binary64) z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 z) z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (/.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal -1 binary64) z)) (/.f64 #s(literal -1 binary64) (*.f64 z z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 z z)) (/.f64 (*.f64 z z) (/.f64 #s(literal -1 binary64) z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y #s(approx (+ (* (+ 1/2 y) (log y)) z) (*.f64 (log.f64 y) y)))) |
#s(approx (- (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) z) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) |
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) #s(approx (+ (* -1/2 (log y)) x) (*.f64 #s(literal -1/2 binary64) (log.f64 y)))) z) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (- y (+ (* (+ 1/2 y) (log y)) z)) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y))) |
| Outputs |
|---|
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) |
(-.f64 (+.f64 #s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) (*.f64 #s(approx (+ (* (/ (- -1/2 y) x) (log y)) 1) #s(literal 1 binary64)) x)) y) z) |
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) #s(approx (+ (* -1/2 (log y)) x) (*.f64 #s(literal -1/2 binary64) (log.f64 y)))) z) |
(-.f64 (+.f64 #s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) (*.f64 #s(approx (+ (* (/ (- -1/2 y) x) (log y)) 1) #s(literal 1 binary64)) x)) y) z) |
4 calls:
| 12.0ms | (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) |
| 7.0ms | y |
| 7.0ms | (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) |
| 7.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 71.6% | 3 | z |
| 77.7% | 6 | (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) |
| 81.3% | 4 | (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) |
| 76.5% | 2 | y |
Compiled 24 to 25 computations (-4.2% saved)
| Inputs |
|---|
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z)) |
(-.f64 (+.f64 #s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) (*.f64 #s(approx (+ (* (/ (- -1/2 y) x) (log y)) 1) #s(literal 1 binary64)) x)) y) z) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (neg.f64 z) z) z)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (*.f64 z z) (/.f64 #s(literal -1 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z))) |
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- -1/2 y) (log y)) x)) (/.f64 #s(literal 1 binary64) x))) y) z) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)) z) z)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (/.f64 (neg.f64 z) (/.f64 #s(literal -1 binary64) z)) (/.f64 #s(literal -1 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (*.f64 (neg.f64 z) (*.f64 (neg.f64 z) z)) (neg.f64 z)) (+.f64 #s(literal 0 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal -1 binary64) z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 z) z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (/.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal -1 binary64) z)) (/.f64 #s(literal -1 binary64) (*.f64 z z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 z z)) (/.f64 (*.f64 z z) (/.f64 #s(literal -1 binary64) z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y #s(approx (+ (* (+ 1/2 y) (log y)) z) (*.f64 (log.f64 y) y)))) |
#s(approx (- (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) z) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) |
| Outputs |
|---|
(-.f64 (+.f64 #s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) (*.f64 #s(approx (+ (* (/ (- -1/2 y) x) (log y)) 1) #s(literal 1 binary64)) x)) y) z) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) |
2 calls:
| 6.0ms | (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) |
| 6.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 76.5% | 2 | y |
| 70.1% | 2 | (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) |
Compiled 11 to 12 computations (-9.1% saved)
| Inputs |
|---|
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z)) |
(-.f64 (+.f64 #s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) (*.f64 #s(approx (+ (* (/ (- -1/2 y) x) (log y)) 1) #s(literal 1 binary64)) x)) y) z) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (neg.f64 z) z) z)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (*.f64 z z) (/.f64 #s(literal -1 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z))) |
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- -1/2 y) (log y)) x)) (/.f64 #s(literal 1 binary64) x))) y) z) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)) z) z)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (/.f64 (neg.f64 z) (/.f64 #s(literal -1 binary64) z)) (/.f64 #s(literal -1 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (*.f64 (neg.f64 z) (*.f64 (neg.f64 z) z)) (neg.f64 z)) (+.f64 #s(literal 0 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal -1 binary64) z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 z) z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (/.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal -1 binary64) z)) (/.f64 #s(literal -1 binary64) (*.f64 z z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 z z)) (/.f64 (*.f64 z z) (/.f64 #s(literal -1 binary64) z))))) |
| Outputs |
|---|
(-.f64 (+.f64 #s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) (*.f64 #s(approx (+ (* (/ (- -1/2 y) x) (log y)) 1) #s(literal 1 binary64)) x)) y) z) |
5 calls:
| 20.0ms | y |
| 5.0ms | (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) |
| 5.0ms | x |
| 5.0ms | (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) |
| 5.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 57.3% | 1 | z |
| 57.3% | 1 | (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) |
| 57.3% | 1 | (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) |
| 57.3% | 1 | x |
| 57.3% | 1 | y |
Compiled 25 to 28 computations (-12% 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:
| 21.0ms | y |
| 1.0ms | (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) |
| 1.0ms | (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) |
| 1.0ms | x |
| 1.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 34.1% | 1 | (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) |
| 34.1% | 1 | y |
| 34.1% | 1 | (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) |
| 34.1% | 1 | z |
| 34.1% | 1 | x |
Compiled 25 to 28 computations (-12% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 13.0ms | 1.1951100810627512e+42 | 5.0616391135077695e+44 |
| 8.0ms | 128× | 0 | valid |
Compiled 159 to 168 computations (-5.7% saved)
ival-log: 2.0ms (38.9% of total)ival-sub: 1.0ms (19.4% of total)ival-add: 1.0ms (19.4% of total)ival-mult: 1.0ms (19.4% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 1.1951100810627512e+42 | 5.0616391135077695e+44 |
Compiled 151 to 168 computations (-11.3% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 18.0ms | 7.714034686544893e+158 | 1.3166386461454787e+162 |
| 12.0ms | 128× | 0 | valid |
Compiled 151 to 168 computations (-11.3% saved)
ival-add: 5.0ms (54.1% of total)ival-log: 2.0ms (21.6% of total)ival-sub: 1.0ms (10.8% of total)ival-mult: 1.0ms (10.8% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 348.4488850496849 | 349.53200185244316 |
| 0.0ms | -2.290794706044131e+34 | -8.180911583802923e+33 |
| 0.0ms | -1.0687138069258206e+168 | -9.65677420124943e+165 |
Compiled 15 to 16 computations (-6.7% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 12.0ms | 7.714034686544893e+158 | 1.3166386461454787e+162 |
| 8.0ms | 112× | 0 | valid |
Compiled 143 to 168 computations (-17.5% saved)
ival-sub: 1.0ms (21.1% of total)ival-log: 1.0ms (21.1% of total)ival-add: 1.0ms (21.1% of total)ival-mult: 1.0ms (21.1% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 82 | 389 |
| 1 | 111 | 389 |
| 2 | 136 | 389 |
| 3 | 148 | 389 |
| 4 | 153 | 389 |
| 5 | 154 | 389 |
| 1× | saturated |
| Inputs |
|---|
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))) |
(if (<=.f64 y #s(literal 2250000000000000062307227298002679176888320 binary64)) (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z) (fma.f64 #s(approx (- -1/2 y) (neg.f64 y)) (log.f64 y) #s(approx (+ x (- y z)) (-.f64 y z)))) |
(if (<=.f64 y #s(literal 2250000000000000062307227298002679176888320 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 81999999999999999598804870000796908246865296682917498646701082473776851320525997480973245935979023657602177336487250090640671628296070080286320595147108315561984 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) #s(approx (- y (+ (* (+ 1/2 y) (log y)) z)) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y)))) |
(if (<=.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) #s(literal -999999999999999933860494834742974562371950216430331518611692822307700646699603647625692432595845947170914554599698521475539380813444812793279458505403728617494385000448 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 -19999999999999998911504619740856320 binary64)) (-.f64 (+.f64 #s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) (*.f64 #s(approx (+ (* (/ (- -1/2 y) x) (log y)) 1) #s(literal 1 binary64)) x)) y) z) (if (<=.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) #s(literal 349 binary64)) (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) #s(approx (+ (* -1/2 (log y)) x) (*.f64 #s(literal -1/2 binary64) (log.f64 y)))) z) (-.f64 (+.f64 #s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) (*.f64 #s(approx (+ (* (/ (- -1/2 y) x) (log y)) 1) #s(literal 1 binary64)) x)) y) z)))) |
(if (<=.f64 y #s(literal 820000000000000007694605763692939950149642578553548633024253859731410328927098573404876479933911312027169659852967392755757707988235536660793114748802153054208 binary64)) (-.f64 (+.f64 #s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) (*.f64 #s(approx (+ (* (/ (- -1/2 y) x) (log y)) 1) #s(literal 1 binary64)) x)) y) z) #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y))) |
(-.f64 (+.f64 #s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) (*.f64 #s(approx (+ (* (/ (- -1/2 y) x) (log y)) 1) #s(literal 1 binary64)) x)) y) z) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z)) |
| Outputs |
|---|
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))) |
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 (-.f64 y z) x)) |
(if (<=.f64 y #s(literal 2250000000000000062307227298002679176888320 binary64)) (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z) (fma.f64 #s(approx (- -1/2 y) (neg.f64 y)) (log.f64 y) #s(approx (+ x (- y z)) (-.f64 y z)))) |
(if (<=.f64 y #s(literal 2250000000000000062307227298002679176888320 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 81999999999999999598804870000796908246865296682917498646701082473776851320525997480973245935979023657602177336487250090640671628296070080286320595147108315561984 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) #s(approx (- y (+ (* (+ 1/2 y) (log y)) z)) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y)))) |
(if (<=.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) #s(literal -999999999999999933860494834742974562371950216430331518611692822307700646699603647625692432595845947170914554599698521475539380813444812793279458505403728617494385000448 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 -19999999999999998911504619740856320 binary64)) (-.f64 (+.f64 #s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) (*.f64 #s(approx (+ (* (/ (- -1/2 y) x) (log y)) 1) #s(literal 1 binary64)) x)) y) z) (if (<=.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) #s(literal 349 binary64)) (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) #s(approx (+ (* -1/2 (log y)) x) (*.f64 #s(literal -1/2 binary64) (log.f64 y)))) z) (-.f64 (+.f64 #s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) (*.f64 #s(approx (+ (* (/ (- -1/2 y) x) (log y)) 1) #s(literal 1 binary64)) x)) y) z)))) |
(if (<=.f64 (+.f64 (-.f64 x (*.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y))) y) #s(literal -999999999999999933860494834742974562371950216430331518611692822307700646699603647625692432595845947170914554599698521475539380813444812793279458505403728617494385000448 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 #s(literal 1/2 binary64) y) (log.f64 y))) y) #s(literal -19999999999999998911504619740856320 binary64)) (-.f64 (+.f64 #s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) (*.f64 #s(approx (+ (* (/ (- -1/2 y) x) (log y)) 1) #s(literal 1 binary64)) x)) y) z) (if (<=.f64 (+.f64 (-.f64 x (*.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y))) y) #s(literal 349 binary64)) (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) #s(approx (+ (* -1/2 (log y)) x) (*.f64 (log.f64 y) #s(literal -1/2 binary64)))) z) (-.f64 (+.f64 #s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) (*.f64 #s(approx (+ (* (/ (- -1/2 y) x) (log y)) 1) #s(literal 1 binary64)) x)) y) z)))) |
(if (<=.f64 y #s(literal 820000000000000007694605763692939950149642578553548633024253859731410328927098573404876479933911312027169659852967392755757707988235536660793114748802153054208 binary64)) (-.f64 (+.f64 #s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) (*.f64 #s(approx (+ (* (/ (- -1/2 y) x) (log y)) 1) #s(literal 1 binary64)) x)) y) z) #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y))) |
(-.f64 (+.f64 #s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) (*.f64 #s(approx (+ (* (/ (- -1/2 y) x) (log y)) 1) #s(literal 1 binary64)) x)) y) z) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 127 | 1334 |
| 1 | 415 | 1196 |
| 2 | 1319 | 1105 |
| 3 | 4704 | 1074 |
| 0 | 8534 | 991 |
| 0 | 10 | 36 |
| 0 | 16 | 36 |
| 1 | 79 | 36 |
| 2 | 699 | 36 |
| 0 | 8843 | 33 |
| 0 | 250 | 4981 |
| 1 | 805 | 4531 |
| 2 | 2527 | 4366 |
| 0 | 8218 | 4057 |
| 0 | 449 | 6668 |
| 1 | 1406 | 6174 |
| 2 | 4476 | 5874 |
| 0 | 8411 | 5518 |
| 0 | 419 | 6145 |
| 1 | 1327 | 5669 |
| 2 | 4383 | 5511 |
| 0 | 8215 | 5147 |
| 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 455 to 279 computations (38.7% saved)
Compiled 406 to 160 computations (60.6% saved)
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