
Time bar (total: 11.1s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 100% | 49.9% | 0% | 0.1% | 0% | 49.9% | 0% | 3 |
Compiled 14 to 12 computations (14.3% saved)
| 629.0ms | 8 254× | 0 | valid |
| 0.0ms | 1× | 2 | valid |
| 0.0ms | 1× | 1 | valid |
ival-log: 112.0ms (29.4% of total)ival-add: 100.0ms (26.3% of total)ival-sub: 92.0ms (24.2% of total)ival-mult: 62.0ms (16.3% of total)ival-true: 6.0ms (1.6% of total)exact: 5.0ms (1.3% of total)ival-assert: 3.0ms (0.8% of total)adjust: 0.0ms (0% of total)| 1× | egg-herbie |
| 4 224× | lower-fma.f64 |
| 4 224× | lower-fma.f32 |
| 1 008× | lower-+.f32 |
| 1 008× | lower--.f32 |
| 1 004× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 119 |
| 1 | 122 | 113 |
| 2 | 469 | 111 |
| 3 | 2025 | 110 |
| 4 | 5437 | 110 |
| 5 | 6897 | 110 |
| 0 | 10 | 12 |
| 0 | 16 | 12 |
| 1 | 30 | 12 |
| 2 | 80 | 12 |
| 3 | 291 | 12 |
| 4 | 827 | 12 |
| 5 | 2176 | 12 |
| 6 | 3121 | 12 |
| 7 | 3770 | 12 |
| 8 | 3849 | 12 |
| 9 | 3850 | 12 |
| 10 | 3850 | 12 |
| 11 | 3888 | 12 |
| 12 | 3897 | 12 |
| 13 | 3897 | 12 |
| 0 | 3897 | 11 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) |
| Outputs |
|---|
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) |
(+.f64 x (-.f64 y (fma.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y) z))) |
| 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 |
| 57.0ms | 510× | 0 | valid |
| 0.0ms | 2× | 1 | valid |
Compiled 124 to 44 computations (64.5% saved)
ival-log: 22.0ms (56.7% of total)ival-add: 8.0ms (20.6% of total)ival-sub: 4.0ms (10.3% of total)ival-mult: 3.0ms (7.7% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)Compiled 3 to 3 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.8% | (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) |
Compiled 15 to 10 computations (33.3% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) |
| ✓ | cost-diff | 0 | (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) |
| ✓ | cost-diff | 0 | (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) |
| ✓ | cost-diff | 128 | (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) |
| 4 224× | lower-fma.f64 |
| 4 224× | lower-fma.f32 |
| 1 008× | lower-+.f32 |
| 1 008× | lower--.f32 |
| 1 004× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 45 |
| 0 | 16 | 45 |
| 1 | 30 | 45 |
| 2 | 80 | 45 |
| 3 | 291 | 45 |
| 4 | 827 | 45 |
| 5 | 2176 | 45 |
| 6 | 3121 | 45 |
| 7 | 3770 | 45 |
| 8 | 3849 | 45 |
| 9 | 3850 | 45 |
| 10 | 3850 | 45 |
| 11 | 3888 | 45 |
| 12 | 3897 | 45 |
| 13 | 3897 | 45 |
| 0 | 3897 | 42 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) |
(+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) |
(-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) |
x |
(*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) |
(+.f64 y #s(literal 1/2 binary64)) |
y |
#s(literal 1/2 binary64) |
(log.f64 y) |
z |
| Outputs |
|---|
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) |
(+.f64 x (-.f64 y (fma.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y) z))) |
(+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) |
(fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) (+.f64 x y)) |
(-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) |
(fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x) |
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 |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) |
| ✓ | accuracy | 100.0% | (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) |
| ✓ | accuracy | 99.8% | (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) |
| ✓ | accuracy | 99.8% | (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) |
| 18.0ms | 255× | 0 | valid |
| 0.0ms | 1× | 1 | valid |
Compiled 47 to 12 computations (74.5% saved)
ival-add: 3.0ms (29.5% of total)ival-log: 3.0ms (29.5% of total)ival-mult: 2.0ms (19.7% of total)ival-sub: 2.0ms (19.7% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)))> |
#<alt (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z)> |
#<alt (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y)> |
#<alt (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))> |
| Outputs |
|---|
#<alt (* -1 (* (log y) (+ 1/2 y)))> |
#<alt (- x (* (log y) (+ 1/2 y)))> |
#<alt (- x (* (log y) (+ 1/2 y)))> |
#<alt (- x (* (log y) (+ 1/2 y)))> |
#<alt x> |
#<alt (* x (+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x))))> |
#<alt (* x (+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x))))> |
#<alt (* x (+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x))))> |
#<alt x> |
#<alt (* -1 (* x (- (/ (* (log y) (+ 1/2 y)) x) 1)))> |
#<alt (* -1 (* x (- (/ (* (log y) (+ 1/2 y)) x) 1)))> |
#<alt (* -1 (* x (- (/ (* (log y) (+ 1/2 y)) x) 1)))> |
#<alt (- x (* 1/2 (log y)))> |
#<alt (- (+ x (* -1 (* y (log y)))) (* 1/2 (log y)))> |
#<alt (- (+ x (* -1 (* y (log y)))) (* 1/2 (log y)))> |
#<alt (- (+ x (* -1 (* y (log y)))) (* 1/2 (log y)))> |
#<alt (* y (log (/ 1 y)))> |
#<alt (* y (- (/ x y) (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y)))))> |
#<alt (* y (- (/ x y) (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y)))))> |
#<alt (* y (- (/ x y) (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y)))))> |
#<alt (* -1 (* y (+ (log -1) (* -1 (log (/ -1 y))))))> |
#<alt (* -1 (* y (- (* -1 (/ (- x (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))))> |
#<alt (* -1 (* y (- (* -1 (/ (- x (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))))> |
#<alt (* -1 (* y (- (* -1 (/ (- x (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))))> |
#<alt (- y (+ z (* (log y) (+ 1/2 y))))> |
#<alt (- (+ x y) (+ z (* (log y) (+ 1/2 y))))> |
#<alt (- (+ x y) (+ z (* (log y) (+ 1/2 y))))> |
#<alt (- (+ x y) (+ z (* (log y) (+ 1/2 y))))> |
#<alt x> |
#<alt (* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x))))> |
#<alt (* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x))))> |
#<alt (* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x))))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1)))> |
#<alt (- x (+ z (* 1/2 (log y))))> |
#<alt (- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y))))> |
#<alt (- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y))))> |
#<alt (- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y))))> |
#<alt (* y (- 1 (* -1 (log (/ 1 y)))))> |
#<alt (* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y)))))> |
#<alt (* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y)))))> |
#<alt (* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y)))))> |
#<alt (* y (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))> |
#<alt (* -1 (* y (- (* -1 (/ (- x (+ z (* 1/2 (+ (log -1) (* -1 (log (/ -1 y))))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))))> |
#<alt (* -1 (* y (- (* -1 (/ (- x (+ z (* 1/2 (+ (log -1) (* -1 (log (/ -1 y))))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))))> |
#<alt (* -1 (* y (- (* -1 (/ (- x (+ z (* 1/2 (+ (log -1) (* -1 (log (/ -1 y))))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))))> |
#<alt (- (+ x y) (* (log y) (+ 1/2 y)))> |
#<alt (- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y)))> |
#<alt (- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y)))> |
#<alt (- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y)))> |
#<alt (* -1 z)> |
#<alt (* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z))))> |
#<alt (* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z))))> |
#<alt (* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z))))> |
#<alt (* -1 z)> |
#<alt (* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z)))))> |
#<alt (* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z)))))> |
#<alt (* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z)))))> |
#<alt (- y (* (log y) (+ 1/2 y)))> |
#<alt (- (+ x y) (* (log y) (+ 1/2 y)))> |
#<alt (- (+ x y) (* (log y) (+ 1/2 y)))> |
#<alt (- (+ x y) (* (log y) (+ 1/2 y)))> |
#<alt x> |
#<alt (* x (- (+ 1 (/ y x)) (/ (* (log y) (+ 1/2 y)) x)))> |
#<alt (* x (- (+ 1 (/ y x)) (/ (* (log y) (+ 1/2 y)) x)))> |
#<alt (* x (- (+ 1 (/ y x)) (/ (* (log y) (+ 1/2 y)) x)))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (- y (* (log y) (+ 1/2 y))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (- y (* (log y) (+ 1/2 y))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (- y (* (log y) (+ 1/2 y))) x)) 1)))> |
#<alt (- x (* 1/2 (log y)))> |
#<alt (- (+ x (* y (- 1 (log y)))) (* 1/2 (log y)))> |
#<alt (- (+ x (* y (- 1 (log y)))) (* 1/2 (log y)))> |
#<alt (- (+ x (* y (- 1 (log y)))) (* 1/2 (log y)))> |
#<alt (* y (- 1 (* -1 (log (/ 1 y)))))> |
#<alt (* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y)))))> |
#<alt (* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y)))))> |
#<alt (* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y)))))> |
#<alt (* y (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))> |
#<alt (* -1 (* y (- (* -1 (/ (- x (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))))> |
#<alt (* -1 (* y (- (* -1 (/ (- x (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))))> |
#<alt (* -1 (* y (- (* -1 (/ (- x (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))))> |
#<alt (* 1/2 (log y))> |
#<alt (+ (* 1/2 (log y)) (* y (log y)))> |
#<alt (+ (* 1/2 (log y)) (* y (log y)))> |
#<alt (+ (* 1/2 (log y)) (* y (log y)))> |
#<alt (* -1 (* y (log (/ 1 y))))> |
#<alt (* y (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))))> |
#<alt (* y (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))))> |
#<alt (* y (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))))> |
#<alt (* y (+ (log -1) (* -1 (log (/ -1 y)))))> |
#<alt (* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y)))))> |
#<alt (* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y)))))> |
#<alt (* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y)))))> |
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | y | @ | 0 | (- x (* (+ y 1/2) (log y))) |
| 5.0ms | x | @ | 0 | (- x (* (+ y 1/2) (log y))) |
| 3.0ms | y | @ | -inf | (- x (* (+ y 1/2) (log y))) |
| 2.0ms | y | @ | inf | (- x (* (+ y 1/2) (log y))) |
| 1.0ms | z | @ | 0 | (- (+ (- x (* (+ y 1/2) (log y))) y) z) |
| 1× | egg-herbie |
| 12 810× | lower-fma.f64 |
| 12 810× | lower-fma.f32 |
| 3 236× | lower-*.f64 |
| 3 236× | lower-*.f32 |
| 2 922× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 127 | 1274 |
| 1 | 415 | 1196 |
| 2 | 1319 | 1105 |
| 3 | 4703 | 1074 |
| 0 | 8535 | 991 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (* (log y) (+ 1/2 y))) |
(- x (* (log y) (+ 1/2 y))) |
(- x (* (log y) (+ 1/2 y))) |
(- x (* (log y) (+ 1/2 y))) |
x |
(* x (+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x)))) |
(* x (+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x)))) |
(* x (+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x)))) |
x |
(* -1 (* x (- (/ (* (log y) (+ 1/2 y)) x) 1))) |
(* -1 (* x (- (/ (* (log y) (+ 1/2 y)) x) 1))) |
(* -1 (* x (- (/ (* (log y) (+ 1/2 y)) x) 1))) |
(- x (* 1/2 (log y))) |
(- (+ x (* -1 (* y (log y)))) (* 1/2 (log y))) |
(- (+ x (* -1 (* y (log y)))) (* 1/2 (log y))) |
(- (+ x (* -1 (* y (log y)))) (* 1/2 (log y))) |
(* y (log (/ 1 y))) |
(* y (- (/ x y) (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))))) |
(* y (- (/ x y) (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))))) |
(* y (- (/ x y) (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))))) |
(* -1 (* y (+ (log -1) (* -1 (log (/ -1 y)))))) |
(* -1 (* y (- (* -1 (/ (- x (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))) |
(* -1 (* y (- (* -1 (/ (- x (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))) |
(* -1 (* y (- (* -1 (/ (- x (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))) |
(- y (+ z (* (log y) (+ 1/2 y)))) |
(- (+ x y) (+ z (* (log y) (+ 1/2 y)))) |
(- (+ x y) (+ z (* (log y) (+ 1/2 y)))) |
(- (+ x y) (+ z (* (log y) (+ 1/2 y)))) |
x |
(* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x)))) |
(* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x)))) |
(* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x)))) |
x |
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1))) |
(- x (+ z (* 1/2 (log y)))) |
(- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y)))) |
(- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y)))) |
(- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y)))) |
(* y (- 1 (* -1 (log (/ 1 y))))) |
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y))))) |
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y))))) |
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y))))) |
(* y (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))) |
(* -1 (* y (- (* -1 (/ (- x (+ z (* 1/2 (+ (log -1) (* -1 (log (/ -1 y))))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))))) |
(* -1 (* y (- (* -1 (/ (- x (+ z (* 1/2 (+ (log -1) (* -1 (log (/ -1 y))))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))))) |
(* -1 (* y (- (* -1 (/ (- x (+ z (* 1/2 (+ (log -1) (* -1 (log (/ -1 y))))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))))) |
(- (+ x y) (* (log y) (+ 1/2 y))) |
(- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y))) |
(- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y))) |
(- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y))) |
(* -1 z) |
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z)))) |
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z)))) |
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z)))) |
(* -1 z) |
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z))))) |
(- y (* (log y) (+ 1/2 y))) |
(- (+ x y) (* (log y) (+ 1/2 y))) |
(- (+ x y) (* (log y) (+ 1/2 y))) |
(- (+ x y) (* (log y) (+ 1/2 y))) |
x |
(* x (- (+ 1 (/ y x)) (/ (* (log y) (+ 1/2 y)) x))) |
(* x (- (+ 1 (/ y x)) (/ (* (log y) (+ 1/2 y)) x))) |
(* x (- (+ 1 (/ y x)) (/ (* (log y) (+ 1/2 y)) x))) |
x |
(* -1 (* x (- (* -1 (/ (- y (* (log y) (+ 1/2 y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- y (* (log y) (+ 1/2 y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- y (* (log y) (+ 1/2 y))) x)) 1))) |
(- x (* 1/2 (log y))) |
(- (+ x (* y (- 1 (log y)))) (* 1/2 (log y))) |
(- (+ x (* y (- 1 (log y)))) (* 1/2 (log y))) |
(- (+ x (* y (- 1 (log y)))) (* 1/2 (log y))) |
(* y (- 1 (* -1 (log (/ 1 y))))) |
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))))) |
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))))) |
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))))) |
(* y (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))) |
(* -1 (* y (- (* -1 (/ (- x (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))))) |
(* -1 (* y (- (* -1 (/ (- x (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))))) |
(* -1 (* y (- (* -1 (/ (- x (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))))) |
(* 1/2 (log y)) |
(+ (* 1/2 (log y)) (* y (log y))) |
(+ (* 1/2 (log y)) (* y (log y))) |
(+ (* 1/2 (log y)) (* y (log y))) |
(* -1 (* y (log (/ 1 y)))) |
(* y (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y)))) |
(* y (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y)))) |
(* y (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y)))) |
(* y (+ (log -1) (* -1 (log (/ -1 y))))) |
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y))))) |
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y))))) |
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y))))) |
| Outputs |
|---|
(* -1 (* (log y) (+ 1/2 y))) |
(*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) |
(- x (* (log y) (+ 1/2 y))) |
(fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x) |
(- x (* (log y) (+ 1/2 y))) |
(fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x) |
(- x (* (log y) (+ 1/2 y))) |
(fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x) |
x |
(* x (+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x)))) |
(fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x) |
(* x (+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x)))) |
(fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x) |
(* x (+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x)))) |
(fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x) |
x |
(* -1 (* x (- (/ (* (log y) (+ 1/2 y)) x) 1))) |
(fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x) |
(* -1 (* x (- (/ (* (log y) (+ 1/2 y)) x) 1))) |
(fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x) |
(* -1 (* x (- (/ (* (log y) (+ 1/2 y)) x) 1))) |
(fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x) |
(- x (* 1/2 (log y))) |
(fma.f64 (log.f64 y) #s(literal -1/2 binary64) x) |
(- (+ x (* -1 (* y (log y)))) (* 1/2 (log y))) |
(fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x) |
(- (+ x (* -1 (* y (log y)))) (* 1/2 (log y))) |
(fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x) |
(- (+ x (* -1 (* y (log y)))) (* 1/2 (log y))) |
(fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x) |
(* y (log (/ 1 y))) |
(neg.f64 (*.f64 y (log.f64 y))) |
(* y (- (/ x y) (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))))) |
(fma.f64 y (/.f64 x y) (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y))) |
(* y (- (/ x y) (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))))) |
(fma.f64 y (/.f64 x y) (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y))) |
(* y (- (/ x y) (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))))) |
(fma.f64 y (/.f64 x y) (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y))) |
(* -1 (* y (+ (log -1) (* -1 (log (/ -1 y)))))) |
(*.f64 y (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64)))) |
(* -1 (* y (- (* -1 (/ (- x (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))) |
(*.f64 y (-.f64 (/.f64 x y) (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) y))))) |
(* -1 (* y (- (* -1 (/ (- x (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))) |
(*.f64 y (-.f64 (/.f64 x y) (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) y))))) |
(* -1 (* y (- (* -1 (/ (- x (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))) |
(*.f64 y (-.f64 (/.f64 x y) (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) y))))) |
(- y (+ z (* (log y) (+ 1/2 y)))) |
(-.f64 y (fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) z)) |
(- (+ x y) (+ z (* (log y) (+ 1/2 y)))) |
(+.f64 y (-.f64 x (fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) z))) |
(- (+ x y) (+ z (* (log y) (+ 1/2 y)))) |
(+.f64 y (-.f64 x (fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) z))) |
(- (+ x y) (+ z (* (log y) (+ 1/2 y)))) |
(+.f64 y (-.f64 x (fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) z))) |
x |
(* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x)))) |
(fma.f64 x (/.f64 (-.f64 y (fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) z)) x) x) |
(* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x)))) |
(fma.f64 x (/.f64 (-.f64 y (fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) z)) x) x) |
(* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x)))) |
(fma.f64 x (/.f64 (-.f64 y (fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) z)) x) x) |
x |
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1))) |
(fma.f64 x (/.f64 (-.f64 y (fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) z)) x) x) |
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1))) |
(fma.f64 x (/.f64 (-.f64 y (fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) z)) x) x) |
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1))) |
(fma.f64 x (/.f64 (-.f64 y (fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) z)) x) x) |
(- x (+ z (* 1/2 (log y)))) |
(-.f64 x (fma.f64 (log.f64 y) #s(literal 1/2 binary64) z)) |
(- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y)))) |
(+.f64 y (-.f64 x (fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) z))) |
(- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y)))) |
(+.f64 y (-.f64 x (fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) z))) |
(- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y)))) |
(+.f64 y (-.f64 x (fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) z))) |
(* y (- 1 (* -1 (log (/ 1 y))))) |
(fma.f64 (log.f64 y) (neg.f64 y) y) |
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y))))) |
(fma.f64 y (fma.f64 (neg.f64 (log.f64 y)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) y)) (/.f64 (-.f64 x z) y)) y) |
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y))))) |
(fma.f64 y (fma.f64 (neg.f64 (log.f64 y)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) y)) (/.f64 (-.f64 x z) y)) y) |
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y))))) |
(fma.f64 y (fma.f64 (neg.f64 (log.f64 y)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) y)) (/.f64 (-.f64 x z) y)) y) |
(* y (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))) |
(fma.f64 y (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #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 y (+.f64 (+.f64 (/.f64 (-.f64 x z) y) (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) y)))) #s(literal 1 binary64))) |
(* -1 (* y (- (* -1 (/ (- x (+ z (* 1/2 (+ (log -1) (* -1 (log (/ -1 y))))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))))) |
(*.f64 y (+.f64 (+.f64 (/.f64 (-.f64 x z) y) (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) y)))) #s(literal 1 binary64))) |
(* -1 (* y (- (* -1 (/ (- x (+ z (* 1/2 (+ (log -1) (* -1 (log (/ -1 y))))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))))) |
(*.f64 y (+.f64 (+.f64 (/.f64 (-.f64 x z) y) (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) y)))) #s(literal 1 binary64))) |
(- (+ x y) (* (log y) (+ 1/2 y))) |
(+.f64 y (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)) |
(- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y))) |
(+.f64 y (-.f64 x (fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) z))) |
(- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y))) |
(+.f64 y (-.f64 x (fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) z))) |
(- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y))) |
(+.f64 y (-.f64 x (fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) z))) |
(* -1 z) |
(neg.f64 z) |
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z)))) |
(*.f64 z (fma.f64 (log.f64 y) (/.f64 (-.f64 #s(literal -1/2 binary64) y) z) (fma.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 y x) #s(literal -1 binary64)))) |
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z)))) |
(*.f64 z (fma.f64 (log.f64 y) (/.f64 (-.f64 #s(literal -1/2 binary64) y) z) (fma.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 y x) #s(literal -1 binary64)))) |
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z)))) |
(*.f64 z (fma.f64 (log.f64 y) (/.f64 (-.f64 #s(literal -1/2 binary64) y) z) (fma.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 y x) #s(literal -1 binary64)))) |
(* -1 z) |
(neg.f64 z) |
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z))))) |
(+.f64 y (-.f64 x (fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) z))) |
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z))))) |
(+.f64 y (-.f64 x (fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) z))) |
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z))))) |
(+.f64 y (-.f64 x (fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) z))) |
(- y (* (log y) (+ 1/2 y))) |
(fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) |
(- (+ x y) (* (log y) (+ 1/2 y))) |
(+.f64 y (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)) |
(- (+ x y) (* (log y) (+ 1/2 y))) |
(+.f64 y (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)) |
(- (+ x y) (* (log y) (+ 1/2 y))) |
(+.f64 y (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)) |
x |
(* x (- (+ 1 (/ y x)) (/ (* (log y) (+ 1/2 y)) x))) |
(fma.f64 x (/.f64 y x) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)) |
(* x (- (+ 1 (/ y x)) (/ (* (log y) (+ 1/2 y)) x))) |
(fma.f64 x (/.f64 y x) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)) |
(* x (- (+ 1 (/ y x)) (/ (* (log y) (+ 1/2 y)) x))) |
(fma.f64 x (/.f64 y x) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)) |
x |
(* -1 (* x (- (* -1 (/ (- y (* (log y) (+ 1/2 y))) x)) 1))) |
(fma.f64 x (/.f64 y x) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)) |
(* -1 (* x (- (* -1 (/ (- y (* (log y) (+ 1/2 y))) x)) 1))) |
(fma.f64 x (/.f64 y x) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)) |
(* -1 (* x (- (* -1 (/ (- y (* (log y) (+ 1/2 y))) x)) 1))) |
(fma.f64 x (/.f64 y x) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)) |
(- x (* 1/2 (log y))) |
(fma.f64 (log.f64 y) #s(literal -1/2 binary64) x) |
(- (+ x (* y (- 1 (log y)))) (* 1/2 (log y))) |
(+.f64 y (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)) |
(- (+ x (* y (- 1 (log y)))) (* 1/2 (log y))) |
(+.f64 y (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)) |
(- (+ x (* y (- 1 (log y)))) (* 1/2 (log y))) |
(+.f64 y (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)) |
(* y (- 1 (* -1 (log (/ 1 y))))) |
(fma.f64 (log.f64 y) (neg.f64 y) y) |
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))))) |
(fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) (fma.f64 y (/.f64 x y) y)) |
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))))) |
(fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) (fma.f64 y (/.f64 x y) y)) |
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))))) |
(fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) (fma.f64 y (/.f64 x y) y)) |
(* y (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))) |
(fma.f64 y (-.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 (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))))) |
(*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 x y) (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) y)))))) |
(* -1 (* y (- (* -1 (/ (- x (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))))) |
(*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 x y) (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) y)))))) |
(* -1 (* y (- (* -1 (/ (- x (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))))) |
(*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 x y) (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) y)))))) |
(* 1/2 (log y)) |
(*.f64 (log.f64 y) #s(literal 1/2 binary64)) |
(+ (* 1/2 (log y)) (* y (log y))) |
(*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))) |
(+ (* 1/2 (log y)) (* y (log y))) |
(*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))) |
(+ (* 1/2 (log y)) (* y (log y))) |
(*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))) |
(* -1 (* y (log (/ 1 y)))) |
(*.f64 y (log.f64 y)) |
(* y (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y)))) |
(*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))) |
(* y (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y)))) |
(*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))) |
(* y (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y)))) |
(*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))) |
(* y (+ (log -1) (* -1 (log (/ -1 y))))) |
(*.f64 y (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y)))) |
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y))))) |
(*.f64 y (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) y)))) |
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y))))) |
(*.f64 y (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) y)))) |
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y))))) |
(*.f64 y (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) y)))) |
| 1× | batch-egg-rewrite |
| 9 014× | lower-fma.f64 |
| 9 014× | lower-fma.f32 |
| 5 554× | lower-*.f32 |
| 5 552× | lower-*.f64 |
| 4 034× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 36 |
| 0 | 16 | 36 |
| 1 | 79 | 36 |
| 2 | 699 | 36 |
| 0 | 8843 | 33 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) |
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) |
(+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) |
(*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) |
| Outputs |
|---|
(+.f64 x (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y))) |
(+.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) x) |
(+.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) (fma.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y) x) (*.f64 x x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) (fma.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y) x) (*.f64 x x))))) |
(+.f64 (/.f64 (*.f64 x x) (fma.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y) x)) (neg.f64 (/.f64 (pow.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) #s(literal 2 binary64)) (fma.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y) x)))) |
(-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) |
(-.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) (fma.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y) x) (*.f64 x x))) (/.f64 (pow.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) (fma.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y) x) (*.f64 x x)))) |
(-.f64 (/.f64 (*.f64 x x) (fma.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y) x)) (/.f64 (pow.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) #s(literal 2 binary64)) (fma.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y) x))) |
(-.f64 #s(literal 0 binary64) (-.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) x)) |
(-.f64 (+.f64 x #s(literal 0 binary64)) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) |
(-.f64 (-.f64 x (*.f64 (log.f64 y) y)) (*.f64 (log.f64 y) #s(literal 1/2 binary64))) |
(-.f64 (-.f64 x (*.f64 (log.f64 y) #s(literal 1/2 binary64))) (*.f64 (log.f64 y) y)) |
(-.f64 (-.f64 x (*.f64 y (log.f64 y))) (*.f64 #s(literal 1/2 binary64) (log.f64 y))) |
(-.f64 (-.f64 x (*.f64 #s(literal 1/2 binary64) (log.f64 y))) (*.f64 y (log.f64 y))) |
(fma.f64 (+.f64 y #s(literal 1/2 binary64)) (neg.f64 (log.f64 y)) x) |
(fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x) |
(fma.f64 (fma.f64 y (*.f64 y y) #s(literal 1/8 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y (+.f64 #s(literal 1/4 binary64) (*.f64 y #s(literal -1/2 binary64))))) (neg.f64 (log.f64 y))) x) |
(fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) (fma.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y) x) (*.f64 x x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) (fma.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y) x) (*.f64 x x))))) |
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y) x)) (neg.f64 (/.f64 (pow.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) #s(literal 2 binary64)) (fma.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y) x)))) |
(fma.f64 (fma.f64 y y #s(literal -1/4 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1/2 binary64))) (neg.f64 (log.f64 y))) x) |
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x) |
(fma.f64 #s(literal -1 binary64) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) x) |
(fma.f64 (neg.f64 (log.f64 y)) (+.f64 y #s(literal 1/2 binary64)) x) |
(fma.f64 (*.f64 (log.f64 y) #s(literal -1 binary64)) (+.f64 y #s(literal 1/2 binary64)) x) |
(fma.f64 (*.f64 (neg.f64 (log.f64 y)) (fma.f64 y (*.f64 y y) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (+.f64 #s(literal 1/4 binary64) (*.f64 y #s(literal -1/2 binary64))))) x) |
(fma.f64 (*.f64 (neg.f64 (log.f64 y)) (fma.f64 y y #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1/2 binary64))) x) |
(neg.f64 (neg.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x))) |
(/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) #s(literal 3 binary64))) (fma.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) (fma.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y) x) (*.f64 x x))) |
(/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) #s(literal 3 binary64))) (fma.f64 x x (*.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) (-.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) x)))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) #s(literal 2 binary64))) (fma.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y) x)) |
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) (fma.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y) x) (*.f64 x x)))) |
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) (-.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) x))))) |
(/.f64 (+.f64 (neg.f64 (*.f64 x x)) (pow.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) #s(literal 2 binary64))) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) (neg.f64 x))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (*.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) (-.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) x))) (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)) #s(literal 1 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)))) |
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) (fma.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y) x) (*.f64 x x))) (*.f64 (fma.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) (fma.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y) x) (*.f64 x x)) (pow.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) (fma.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y) x) (*.f64 x x)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y) x)) (*.f64 (fma.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y) x) (pow.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) #s(literal 2 binary64)))) (pow.f64 (fma.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y) x) #s(literal 2 binary64))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) (fma.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y) x) (*.f64 x x))))) |
(/.f64 (neg.f64 (+.f64 (neg.f64 (*.f64 x x)) (pow.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) (neg.f64 x)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) #s(literal 3 binary64)) (*.f64 x (*.f64 x x))) (+.f64 (pow.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 x x) (*.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) x)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) (fma.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y) x) (*.f64 x x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) (fma.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y) x) (*.f64 x x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) (fma.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y) x) (*.f64 x x))) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) (fma.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y) x) (*.f64 x x))) (fma.f64 (/.f64 (pow.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) (fma.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y) x) (*.f64 x x))) (/.f64 (pow.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) (fma.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y) x) (*.f64 x x))) (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) (fma.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y) x) (*.f64 x x))) (/.f64 (pow.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) (fma.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y) x) (*.f64 x x))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (fma.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) #s(literal 2 binary64)) (fma.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x x) (fma.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y) x)) (/.f64 (*.f64 x x) (fma.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y) x)) (fma.f64 (/.f64 (pow.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) #s(literal 2 binary64)) (fma.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y) x)) (/.f64 (pow.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) #s(literal 2 binary64)) (fma.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y) x)) (*.f64 (/.f64 (*.f64 x x) (fma.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y) x)) (/.f64 (pow.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) #s(literal 2 binary64)) (fma.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y) x)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) x)) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) (fma.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y) x) (*.f64 x x))) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) (fma.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y) x) (*.f64 x x)))) (*.f64 (/.f64 (pow.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) (fma.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y) x) (*.f64 x x))) (/.f64 (pow.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) (fma.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y) x) (*.f64 x x))))) (+.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) (fma.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y) x) (*.f64 x x))) (/.f64 (pow.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) (fma.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y) x) (*.f64 x x))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (fma.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y) x)) (/.f64 (*.f64 x x) (fma.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y) x))) (*.f64 (/.f64 (pow.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) #s(literal 2 binary64)) (fma.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y) x)) (/.f64 (pow.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) #s(literal 2 binary64)) (fma.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y) x)))) (+.f64 (/.f64 (*.f64 x x) (fma.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y) x)) (/.f64 (pow.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) #s(literal 2 binary64)) (fma.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y) x)))) |
(/.f64 (*.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) #s(literal 2 binary64))) #s(literal 1 binary64)) (fma.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y) x)) |
(/.f64 (*.f64 (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) (fma.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y) x) (*.f64 x x))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (pow.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) (fma.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y) x) (*.f64 x x)))) (+.f64 (fma.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x))) (pow.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) #s(literal 6 binary64))) (pow.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (*.f64 (log.f64 y) x)) #s(literal 3 binary64)))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (pow.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) (fma.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y) x) (*.f64 x x)))) (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) #s(literal 3 binary64)))) |
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(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (+.f64 #s(literal 1/4 binary64) (*.f64 y #s(literal -1/2 binary64)))) (*.f64 (fma.f64 y (*.f64 y y) #s(literal 1/8 binary64)) (log.f64 y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y #s(literal -1/2 binary64)) (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)))) |
(/.f64 (*.f64 (log.f64 y) (fma.f64 y (*.f64 y y) #s(literal 1/8 binary64))) (fma.f64 y y (+.f64 #s(literal 1/4 binary64) (*.f64 y #s(literal -1/2 binary64))))) |
(/.f64 (*.f64 (log.f64 y) (fma.f64 y (*.f64 y y) #s(literal 1/8 binary64))) (+.f64 #s(literal 1/4 binary64) (*.f64 y (+.f64 y #s(literal -1/2 binary64))))) |
(/.f64 (*.f64 (log.f64 y) (fma.f64 y y #s(literal -1/4 binary64))) (+.f64 y #s(literal -1/2 binary64))) |
(/.f64 (*.f64 (fma.f64 y (*.f64 y y) #s(literal 1/8 binary64)) (log.f64 y)) (fma.f64 y y (+.f64 #s(literal 1/4 binary64) (*.f64 y #s(literal -1/2 binary64))))) |
(/.f64 (*.f64 (fma.f64 y (*.f64 y y) #s(literal 1/8 binary64)) (log.f64 y)) (+.f64 #s(literal 1/4 binary64) (*.f64 y (+.f64 y #s(literal -1/2 binary64))))) |
(/.f64 (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (+.f64 y #s(literal -1/2 binary64))) |
(/.f64 (neg.f64 (*.f64 (log.f64 y) (fma.f64 y (*.f64 y y) #s(literal 1/8 binary64)))) (neg.f64 (fma.f64 y y (+.f64 #s(literal 1/4 binary64) (*.f64 y #s(literal -1/2 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (log.f64 y) (fma.f64 y y #s(literal -1/4 binary64)))) (+.f64 (neg.f64 y) #s(literal 1/2 binary64))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 y (*.f64 y y) #s(literal 1/8 binary64)) (log.f64 y))) (neg.f64 (fma.f64 y y (+.f64 #s(literal 1/4 binary64) (*.f64 y #s(literal -1/2 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y))) (+.f64 (neg.f64 y) #s(literal 1/2 binary64))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (log.f64 y) y) #s(literal 3 binary64)) (pow.f64 (*.f64 (log.f64 y) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (log.f64 y) y) (*.f64 (log.f64 y) y) (-.f64 (*.f64 (*.f64 (log.f64 y) #s(literal 1/2 binary64)) (*.f64 (log.f64 y) #s(literal 1/2 binary64))) (*.f64 (*.f64 (log.f64 y) y) (*.f64 (log.f64 y) #s(literal 1/2 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (log.f64 y) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (log.f64 y) y) #s(literal 3 binary64))) (fma.f64 (*.f64 (log.f64 y) #s(literal 1/2 binary64)) (*.f64 (log.f64 y) #s(literal 1/2 binary64)) (-.f64 (*.f64 (*.f64 (log.f64 y) y) (*.f64 (log.f64 y) y)) (*.f64 (*.f64 (log.f64 y) #s(literal 1/2 binary64)) (*.f64 (log.f64 y) y))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 y (log.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 y)) #s(literal 3 binary64))) (fma.f64 (*.f64 y (log.f64 y)) (*.f64 y (log.f64 y)) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 y)) (*.f64 #s(literal 1/2 binary64) (log.f64 y))) (*.f64 (*.f64 y (log.f64 y)) (*.f64 #s(literal 1/2 binary64) (log.f64 y)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 y (log.f64 y)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 y)) (*.f64 #s(literal 1/2 binary64) (log.f64 y)) (-.f64 (*.f64 (*.f64 y (log.f64 y)) (*.f64 y (log.f64 y))) (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 y)) (*.f64 y (log.f64 y)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (log.f64 y) y) (*.f64 (log.f64 y) y)) (*.f64 (*.f64 (log.f64 y) #s(literal 1/2 binary64)) (*.f64 (log.f64 y) #s(literal 1/2 binary64)))) (-.f64 (*.f64 (log.f64 y) y) (*.f64 (log.f64 y) #s(literal 1/2 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (log.f64 y) #s(literal 1/2 binary64)) (*.f64 (log.f64 y) #s(literal 1/2 binary64))) (*.f64 (*.f64 (log.f64 y) y) (*.f64 (log.f64 y) y))) (-.f64 (*.f64 (log.f64 y) #s(literal 1/2 binary64)) (*.f64 (log.f64 y) y))) |
(/.f64 (-.f64 (*.f64 (*.f64 y (log.f64 y)) (*.f64 y (log.f64 y))) (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 y)) (*.f64 #s(literal 1/2 binary64) (log.f64 y)))) (-.f64 (*.f64 y (log.f64 y)) (*.f64 #s(literal 1/2 binary64) (log.f64 y)))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 y)) (*.f64 #s(literal 1/2 binary64) (log.f64 y))) (*.f64 (*.f64 y (log.f64 y)) (*.f64 y (log.f64 y)))) (-.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 y)) (*.f64 y (log.f64 y)))) |
(/.f64 (*.f64 (log.f64 y) (neg.f64 (fma.f64 y (*.f64 y y) #s(literal 1/8 binary64)))) (neg.f64 (fma.f64 y y (+.f64 #s(literal 1/4 binary64) (*.f64 y #s(literal -1/2 binary64)))))) |
(/.f64 (*.f64 (log.f64 y) (fma.f64 y (neg.f64 y) #s(literal 1/4 binary64))) (+.f64 (neg.f64 y) #s(literal 1/2 binary64))) |
(/.f64 (*.f64 (log.f64 y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64)))) |
(/.f64 (*.f64 (log.f64 y) (-.f64 #s(literal 1/4 binary64) (*.f64 y y))) (-.f64 #s(literal 1/2 binary64) y)) |
(/.f64 (*.f64 (neg.f64 (fma.f64 y (*.f64 y y) #s(literal 1/8 binary64))) (log.f64 y)) (neg.f64 (fma.f64 y y (+.f64 #s(literal 1/4 binary64) (*.f64 y #s(literal -1/2 binary64)))))) |
(/.f64 (*.f64 (fma.f64 y (neg.f64 y) #s(literal 1/4 binary64)) (log.f64 y)) (+.f64 (neg.f64 y) #s(literal 1/2 binary64))) |
(/.f64 (*.f64 #s(literal 1 binary64) (log.f64 y)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) (log.f64 y)) (-.f64 #s(literal 1/2 binary64) y)) |
(*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) |
(*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))) |
(*.f64 (fma.f64 y (*.f64 y y) #s(literal 1/8 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y (+.f64 #s(literal 1/4 binary64) (*.f64 y #s(literal -1/2 binary64))))) (log.f64 y))) |
(*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1/2 binary64))) (log.f64 y))) |
(*.f64 (*.f64 (log.f64 y) (fma.f64 y (*.f64 y y) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (+.f64 #s(literal 1/4 binary64) (*.f64 y #s(literal -1/2 binary64)))))) |
(*.f64 (*.f64 (log.f64 y) (fma.f64 y y #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1/2 binary64)))) |
(*.f64 (*.f64 (fma.f64 y (*.f64 y y) #s(literal 1/8 binary64)) (log.f64 y)) (/.f64 #s(literal 1 binary64) (fma.f64 y y (+.f64 #s(literal 1/4 binary64) (*.f64 y #s(literal -1/2 binary64)))))) |
(*.f64 (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1/2 binary64)))) |
Compiled 13 801 to 1 377 computations (90% 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 |
|---|---|---|
| 54.7% | (fma.f64 (*.f64 (+.f64 y z) (-.f64 y z)) (/.f64 #s(literal 1 binary64) (+.f64 y z)) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)) | |
| 74.8% | (fma.f64 (*.f64 (neg.f64 (log.f64 y)) (fma.f64 y y #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1/2 binary64))) (+.f64 x (-.f64 y z))) | |
| 99.7% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x) (-.f64 y z)))) | |
| ▶ | 74.8% | (-.f64 (+.f64 (-.f64 x (/.f64 (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (+.f64 y #s(literal -1/2 binary64)))) y) z) |
| ▶ | 99.8% | (-.f64 (+.f64 (-.f64 x (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64))))) y) z) |
| 59.5% | (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 (log.f64 y) (neg.f64 y) y)) z) | |
| ▶ | 70.1% | (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 (log.f64 y) #s(literal -1/2 binary64) x)) z) |
| 99.6% | (*.f64 (+.f64 x (+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) z)) (*.f64 (+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x) (-.f64 y z)) (/.f64 #s(literal 1 binary64) (+.f64 x (+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) z))))) | |
| 31.4% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 (log.f64 y) (neg.f64 y) y)) | |
| 71.1% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y (fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) z))) | |
| ▶ | 70.6% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+.f64 y (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x))) |
| ▶ | 30.0% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z)) |
Compiled 410 to 242 computations (41% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (/.f64 (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (+.f64 y #s(literal -1/2 binary64))) |
| ✓ | cost-diff | 0 | (+.f64 (-.f64 x (/.f64 (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (+.f64 y #s(literal -1/2 binary64)))) y) |
| ✓ | cost-diff | 0 | (-.f64 (+.f64 (-.f64 x (/.f64 (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (+.f64 y #s(literal -1/2 binary64)))) y) z) |
| ✓ | cost-diff | 128 | (-.f64 x (/.f64 (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (+.f64 y #s(literal -1/2 binary64)))) |
| ✓ | cost-diff | 0 | (log.f64 y) |
| ✓ | cost-diff | 0 | (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x) |
| ✓ | cost-diff | 0 | (+.f64 y (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)) |
| ✓ | cost-diff | 0 | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+.f64 y (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x))) |
| ✓ | cost-diff | 0 | (log.f64 y) |
| ✓ | cost-diff | 0 | (fma.f64 (log.f64 y) #s(literal -1/2 binary64) x) |
| ✓ | cost-diff | 0 | #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 (log.f64 y) #s(literal -1/2 binary64) x)) |
| ✓ | cost-diff | 0 | (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 (log.f64 y) #s(literal -1/2 binary64) x)) z) |
| ✓ | cost-diff | 0 | (neg.f64 z) |
| ✓ | cost-diff | 0 | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z)) |
| ✓ | cost-diff | 0 | (+.f64 (-.f64 x (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64))))) y) |
| ✓ | cost-diff | 0 | (-.f64 (+.f64 (-.f64 x (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64))))) y) z) |
| ✓ | cost-diff | 128 | (-.f64 x (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64))))) |
| ✓ | cost-diff | 1088 | (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64)))) |
| 10 640× | lower-fma.f32 |
| 10 634× | lower-fma.f64 |
| 2 056× | lower-+.f32 |
| 2 056× | lower--.f32 |
| 2 046× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 245 |
| 0 | 58 | 251 |
| 1 | 107 | 230 |
| 2 | 252 | 230 |
| 3 | 713 | 230 |
| 4 | 1880 | 230 |
| 5 | 4055 | 230 |
| 6 | 5500 | 230 |
| 7 | 6546 | 230 |
| 8 | 6985 | 230 |
| 9 | 7068 | 230 |
| 10 | 7088 | 230 |
| 11 | 7303 | 230 |
| 12 | 7347 | 230 |
| 13 | 7347 | 230 |
| 14 | 7365 | 230 |
| 15 | 7365 | 230 |
| 16 | 7924 | 230 |
| 17 | 7925 | 230 |
| 18 | 7925 | 230 |
| 19 | 7925 | 230 |
| 0 | 7925 | 227 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (+.f64 (-.f64 x (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64))))) y) z) |
(+.f64 (-.f64 x (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64))))) y) |
(-.f64 x (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64))))) |
x |
(/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64)))) |
(log.f64 y) |
y |
(/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64))) |
#s(literal 1 binary64) |
(+.f64 y #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
z |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z)) |
(neg.f64 z) |
z |
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 (log.f64 y) #s(literal -1/2 binary64) x)) z) |
#s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 (log.f64 y) #s(literal -1/2 binary64) x)) |
(fma.f64 (log.f64 y) #s(literal -1/2 binary64) x) |
(log.f64 y) |
y |
#s(literal -1/2 binary64) |
x |
z |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+.f64 y (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x))) |
(+.f64 y (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)) |
y |
(fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x) |
(log.f64 y) |
(-.f64 #s(literal -1/2 binary64) y) |
#s(literal -1/2 binary64) |
x |
(-.f64 (+.f64 (-.f64 x (/.f64 (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (+.f64 y #s(literal -1/2 binary64)))) y) z) |
(+.f64 (-.f64 x (/.f64 (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (+.f64 y #s(literal -1/2 binary64)))) y) |
(-.f64 x (/.f64 (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (+.f64 y #s(literal -1/2 binary64)))) |
x |
(/.f64 (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (+.f64 y #s(literal -1/2 binary64))) |
(*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) |
(fma.f64 y y #s(literal -1/4 binary64)) |
y |
#s(literal -1/4 binary64) |
(log.f64 y) |
(+.f64 y #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
z |
| Outputs |
|---|
(-.f64 (+.f64 (-.f64 x (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64))))) y) z) |
(+.f64 x (-.f64 y (fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) z))) |
(+.f64 (-.f64 x (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64))))) y) |
(+.f64 x (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y)) |
(-.f64 x (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64))))) |
(fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x) |
x |
(/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64)))) |
(*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))) |
(log.f64 y) |
y |
(/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64))) |
#s(literal 1 binary64) |
(+.f64 y #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
z |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z)) |
(neg.f64 z) |
z |
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 (log.f64 y) #s(literal -1/2 binary64) x)) z) |
#s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 (log.f64 y) #s(literal -1/2 binary64) x)) |
(fma.f64 (log.f64 y) #s(literal -1/2 binary64) x) |
(log.f64 y) |
y |
#s(literal -1/2 binary64) |
x |
z |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+.f64 y (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+.f64 x (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y))) |
(+.f64 y (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)) |
(+.f64 x (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y)) |
y |
(fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x) |
(log.f64 y) |
(-.f64 #s(literal -1/2 binary64) y) |
#s(literal -1/2 binary64) |
x |
(-.f64 (+.f64 (-.f64 x (/.f64 (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (+.f64 y #s(literal -1/2 binary64)))) y) z) |
(+.f64 y (-.f64 (fma.f64 (log.f64 y) (/.f64 (fma.f64 y y #s(literal -1/4 binary64)) (-.f64 #s(literal 1/2 binary64) y)) x) z)) |
(+.f64 (-.f64 x (/.f64 (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (+.f64 y #s(literal -1/2 binary64)))) y) |
(+.f64 x (fma.f64 (log.f64 y) (/.f64 (fma.f64 y y #s(literal -1/4 binary64)) (-.f64 #s(literal 1/2 binary64) y)) y)) |
(-.f64 x (/.f64 (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (+.f64 y #s(literal -1/2 binary64)))) |
(fma.f64 (log.f64 y) (/.f64 (fma.f64 y y #s(literal -1/4 binary64)) (-.f64 #s(literal 1/2 binary64) y)) x) |
x |
(/.f64 (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (+.f64 y #s(literal -1/2 binary64))) |
(*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (/.f64 (log.f64 y) (+.f64 y #s(literal -1/2 binary64)))) |
(*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) |
(*.f64 (log.f64 y) (fma.f64 y y #s(literal -1/4 binary64))) |
(fma.f64 y y #s(literal -1/4 binary64)) |
y |
#s(literal -1/4 binary64) |
(log.f64 y) |
(+.f64 y #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
z |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (-.f64 (+.f64 (-.f64 x (/.f64 (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (+.f64 y #s(literal -1/2 binary64)))) y) z) |
| ✓ | accuracy | 99.8% | (+.f64 (-.f64 x (/.f64 (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (+.f64 y #s(literal -1/2 binary64)))) y) |
| ✓ | accuracy | 99.8% | (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) |
| ✓ | accuracy | 74.8% | (/.f64 (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (+.f64 y #s(literal -1/2 binary64))) |
| ✓ | accuracy | 100.0% | (log.f64 y) |
| ✓ | accuracy | 99.8% | (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x) |
| ✓ | accuracy | 99.8% | (+.f64 y (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)) |
| ✓ | accuracy | 70.7% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+.f64 y (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x))) |
| ✓ | accuracy | 100.0% | (fma.f64 (log.f64 y) #s(literal -1/2 binary64) x) |
| ✓ | accuracy | 100.0% | (log.f64 y) |
| ✓ | accuracy | 100.0% | (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 (log.f64 y) #s(literal -1/2 binary64) x)) z) |
| ✓ | accuracy | 63.0% | #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 (log.f64 y) #s(literal -1/2 binary64) x)) |
| ✓ | accuracy | 100.0% | (neg.f64 z) |
| ✓ | accuracy | 30.0% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z)) |
| ✓ | accuracy | 100.0% | (-.f64 x (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64))))) |
| ✓ | accuracy | 100.0% | (-.f64 (+.f64 (-.f64 x (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64))))) y) z) |
| ✓ | accuracy | 99.8% | (+.f64 (-.f64 x (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64))))) y) |
| ✓ | accuracy | 99.7% | (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64)))) |
| 55.0ms | 255× | 0 | valid |
| 1.0ms | 1× | 1 | valid |
Compiled 231 to 35 computations (84.8% saved)
ival-add: 12.0ms (32.7% of total)ival-mult: 7.0ms (19% of total)ival-sub: 7.0ms (19% of total)ival-div: 5.0ms (13.6% of total)ival-log: 4.0ms (10.9% of total)ival-neg: 1.0ms (2.7% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64))))> |
#<alt (-.f64 x (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64)))))> |
#<alt (-.f64 (+.f64 (-.f64 x (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64))))) y) z)> |
#<alt (+.f64 (-.f64 x (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64))))) y)> |
#<alt #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z))> |
#<alt (neg.f64 z)> |
#<alt (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 (log.f64 y) #s(literal -1/2 binary64) x)) z)> |
#<alt #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 (log.f64 y) #s(literal -1/2 binary64) x))> |
#<alt (fma.f64 (log.f64 y) #s(literal -1/2 binary64) x)> |
#<alt (log.f64 y)> |
#<alt #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+.f64 y (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)))> |
#<alt (+.f64 y (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x))> |
#<alt (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)> |
#<alt (-.f64 x (/.f64 (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (+.f64 y #s(literal -1/2 binary64))))> |
#<alt (-.f64 (+.f64 (-.f64 x (/.f64 (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (+.f64 y #s(literal -1/2 binary64)))) y) z)> |
#<alt (+.f64 (-.f64 x (/.f64 (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (+.f64 y #s(literal -1/2 binary64)))) y)> |
#<alt (/.f64 (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (+.f64 y #s(literal -1/2 binary64)))> |
#<alt (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y))> |
| Outputs |
|---|
#<alt (* 1/2 (log y))> |
#<alt (+ (* 1/2 (log y)) (* y (log y)))> |
#<alt (+ (* 1/2 (log y)) (* y (log y)))> |
#<alt (+ (* 1/2 (log y)) (* y (log y)))> |
#<alt (* -1 (* y (log (/ 1 y))))> |
#<alt (* y (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))))> |
#<alt (* y (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))))> |
#<alt (* y (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))))> |
#<alt (* y (+ (log -1) (* -1 (log (/ -1 y)))))> |
#<alt (* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y)))))> |
#<alt (* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y)))))> |
#<alt (* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y)))))> |
#<alt (* -1 (* (log y) (+ 1/2 y)))> |
#<alt (- x (* (log y) (+ 1/2 y)))> |
#<alt (- x (* (log y) (+ 1/2 y)))> |
#<alt (- x (* (log y) (+ 1/2 y)))> |
#<alt x> |
#<alt (* x (+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x))))> |
#<alt (* x (+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x))))> |
#<alt (* x (+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x))))> |
#<alt x> |
#<alt (* -1 (* x (- (/ (* (log y) (+ 1/2 y)) x) 1)))> |
#<alt (* -1 (* x (- (/ (* (log y) (+ 1/2 y)) x) 1)))> |
#<alt (* -1 (* x (- (/ (* (log y) (+ 1/2 y)) x) 1)))> |
#<alt (- x (* 1/2 (log y)))> |
#<alt (- (+ x (* -1 (* y (log y)))) (* 1/2 (log y)))> |
#<alt (- (+ x (* -1 (* y (log y)))) (* 1/2 (log y)))> |
#<alt (- (+ x (* -1 (* y (log y)))) (* 1/2 (log y)))> |
#<alt (* y (log (/ 1 y)))> |
#<alt (* y (- (/ x y) (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y)))))> |
#<alt (* y (- (/ x y) (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y)))))> |
#<alt (* y (- (/ x y) (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y)))))> |
#<alt (* -1 (* y (+ (log -1) (* -1 (log (/ -1 y))))))> |
#<alt (* -1 (* y (- (* -1 (/ (- x (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))))> |
#<alt (* -1 (* y (- (* -1 (/ (- x (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))))> |
#<alt (* -1 (* y (- (* -1 (/ (- x (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))))> |
#<alt (- y (+ z (* (log y) (+ 1/2 y))))> |
#<alt (- (+ x y) (+ z (* (log y) (+ 1/2 y))))> |
#<alt (- (+ x y) (+ z (* (log y) (+ 1/2 y))))> |
#<alt (- (+ x y) (+ z (* (log y) (+ 1/2 y))))> |
#<alt x> |
#<alt (* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x))))> |
#<alt (* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x))))> |
#<alt (* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x))))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1)))> |
#<alt (- x (+ z (* 1/2 (log y))))> |
#<alt (- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y))))> |
#<alt (- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y))))> |
#<alt (- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y))))> |
#<alt (* y (- 1 (* -1 (log (/ 1 y)))))> |
#<alt (* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y)))))> |
#<alt (* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y)))))> |
#<alt (* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y)))))> |
#<alt (* y (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))> |
#<alt (* -1 (* y (- (* -1 (/ (- x (+ z (* 1/2 (+ (log -1) (* -1 (log (/ -1 y))))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))))> |
#<alt (* -1 (* y (- (* -1 (/ (- x (+ z (* 1/2 (+ (log -1) (* -1 (log (/ -1 y))))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))))> |
#<alt (* -1 (* y (- (* -1 (/ (- x (+ z (* 1/2 (+ (log -1) (* -1 (log (/ -1 y))))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))))> |
#<alt (- (+ x y) (* (log y) (+ 1/2 y)))> |
#<alt (- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y)))> |
#<alt (- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y)))> |
#<alt (- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y)))> |
#<alt (* -1 z)> |
#<alt (* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z))))> |
#<alt (* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z))))> |
#<alt (* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z))))> |
#<alt (* -1 z)> |
#<alt (* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z)))))> |
#<alt (* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z)))))> |
#<alt (* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z)))))> |
#<alt (- y (* (log y) (+ 1/2 y)))> |
#<alt (- (+ x y) (* (log y) (+ 1/2 y)))> |
#<alt (- (+ x y) (* (log y) (+ 1/2 y)))> |
#<alt (- (+ x y) (* (log y) (+ 1/2 y)))> |
#<alt x> |
#<alt (* x (- (+ 1 (/ y x)) (/ (* (log y) (+ 1/2 y)) x)))> |
#<alt (* x (- (+ 1 (/ y x)) (/ (* (log y) (+ 1/2 y)) x)))> |
#<alt (* x (- (+ 1 (/ y x)) (/ (* (log y) (+ 1/2 y)) x)))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (- y (* (log y) (+ 1/2 y))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (- y (* (log y) (+ 1/2 y))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (- y (* (log y) (+ 1/2 y))) x)) 1)))> |
#<alt (- x (* 1/2 (log y)))> |
#<alt (- (+ x (* y (- 1 (log y)))) (* 1/2 (log y)))> |
#<alt (- (+ x (* y (- 1 (log y)))) (* 1/2 (log y)))> |
#<alt (- (+ x (* y (- 1 (log y)))) (* 1/2 (log y)))> |
#<alt (* y (- 1 (* -1 (log (/ 1 y)))))> |
#<alt (* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y)))))> |
#<alt (* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y)))))> |
#<alt (* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y)))))> |
#<alt (* y (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))> |
#<alt (* -1 (* y (- (* -1 (/ (- x (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))))> |
#<alt (* -1 (* y (- (* -1 (/ (- x (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))))> |
#<alt (* -1 (* y (- (* -1 (/ (- x (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))))> |
#<alt (- y (+ z (* (log y) (+ 1/2 y))))> |
#<alt (- (+ x y) (+ z (* (log y) (+ 1/2 y))))> |
#<alt (- (+ x y) (+ z (* (log y) (+ 1/2 y))))> |
#<alt (- (+ x y) (+ z (* (log y) (+ 1/2 y))))> |
#<alt x> |
#<alt (* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x))))> |
#<alt (* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x))))> |
#<alt (* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x))))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1)))> |
#<alt (- x (+ z (* 1/2 (log y))))> |
#<alt (- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y))))> |
#<alt (- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y))))> |
#<alt (- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y))))> |
#<alt (* y (- 1 (* -1 (log (/ 1 y)))))> |
#<alt (* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y)))))> |
#<alt (* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y)))))> |
#<alt (* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y)))))> |
#<alt (* y (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))> |
#<alt (* -1 (* y (- (* -1 (/ (- x (+ z (* 1/2 (+ (log -1) (* -1 (log (/ -1 y))))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))))> |
#<alt (* -1 (* y (- (* -1 (/ (- x (+ z (* 1/2 (+ (log -1) (* -1 (log (/ -1 y))))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))))> |
#<alt (* -1 (* y (- (* -1 (/ (- x (+ z (* 1/2 (+ (log -1) (* -1 (log (/ -1 y))))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))))> |
#<alt (- (+ x y) (* (log y) (+ 1/2 y)))> |
#<alt (- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y)))> |
#<alt (- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y)))> |
#<alt (- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y)))> |
#<alt (* -1 z)> |
#<alt (* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z))))> |
#<alt (* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z))))> |
#<alt (* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z))))> |
#<alt (* -1 z)> |
#<alt (* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z)))))> |
#<alt (* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z)))))> |
#<alt (* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z)))))> |
#<alt (* -1 z)> |
#<alt (* -1 z)> |
#<alt (* -1 z)> |
#<alt (* -1 z)> |
#<alt (* -1 z)> |
#<alt (* -1 z)> |
#<alt (* -1 z)> |
#<alt (* -1 z)> |
#<alt (* -1 z)> |
#<alt (* -1 z)> |
#<alt (* -1 z)> |
#<alt (* -1 z)> |
#<alt (- y (+ z (* (log y) (+ 1/2 y))))> |
#<alt (- (+ x y) (+ z (* (log y) (+ 1/2 y))))> |
#<alt (- (+ x y) (+ z (* (log y) (+ 1/2 y))))> |
#<alt (- (+ x y) (+ z (* (log y) (+ 1/2 y))))> |
#<alt x> |
#<alt (* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x))))> |
#<alt (* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x))))> |
#<alt (* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x))))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1)))> |
#<alt (- x (+ z (* 1/2 (log y))))> |
#<alt (- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y))))> |
#<alt (- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y))))> |
#<alt (- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y))))> |
#<alt (* y (- 1 (* -1 (log (/ 1 y)))))> |
#<alt (* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y)))))> |
#<alt (* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y)))))> |
#<alt (* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y)))))> |
#<alt (* y (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))> |
#<alt (* -1 (* y (- (* -1 (/ (- x (+ z (* 1/2 (+ (log -1) (* -1 (log (/ -1 y))))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))))> |
#<alt (* -1 (* y (- (* -1 (/ (- x (+ z (* 1/2 (+ (log -1) (* -1 (log (/ -1 y))))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))))> |
#<alt (* -1 (* y (- (* -1 (/ (- x (+ z (* 1/2 (+ (log -1) (* -1 (log (/ -1 y))))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))))> |
#<alt (- (+ x y) (* (log y) (+ 1/2 y)))> |
#<alt (- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y)))> |
#<alt (- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y)))> |
#<alt (- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y)))> |
#<alt (* -1 z)> |
#<alt (* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z))))> |
#<alt (* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z))))> |
#<alt (* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z))))> |
#<alt (* -1 z)> |
#<alt (* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z)))))> |
#<alt (* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z)))))> |
#<alt (* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z)))))> |
#<alt (- y (* (log y) (+ 1/2 y)))> |
#<alt (- (+ x y) (* (log y) (+ 1/2 y)))> |
#<alt (- (+ x y) (* (log y) (+ 1/2 y)))> |
#<alt (- (+ x y) (* (log y) (+ 1/2 y)))> |
#<alt x> |
#<alt (* x (- (+ 1 (/ y x)) (/ (* (log y) (+ 1/2 y)) x)))> |
#<alt (* x (- (+ 1 (/ y x)) (/ (* (log y) (+ 1/2 y)) x)))> |
#<alt (* x (- (+ 1 (/ y x)) (/ (* (log y) (+ 1/2 y)) x)))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (- y (* (log y) (+ 1/2 y))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (- y (* (log y) (+ 1/2 y))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (- y (* (log y) (+ 1/2 y))) x)) 1)))> |
#<alt (- x (* 1/2 (log y)))> |
#<alt (- (+ x (* y (- 1 (log y)))) (* 1/2 (log y)))> |
#<alt (- (+ x (* y (- 1 (log y)))) (* 1/2 (log y)))> |
#<alt (- (+ x (* y (- 1 (log y)))) (* 1/2 (log y)))> |
#<alt (* y (- 1 (* -1 (log (/ 1 y)))))> |
#<alt (* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y)))))> |
#<alt (* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y)))))> |
#<alt (* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y)))))> |
#<alt (* y (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))> |
#<alt (* -1 (* y (- (* -1 (/ (- x (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))))> |
#<alt (* -1 (* y (- (* -1 (/ (- x (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))))> |
#<alt (* -1 (* y (- (* -1 (/ (- x (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))))> |
#<alt (+ x (* -1/2 (log y)))> |
#<alt (+ x (* -1/2 (log y)))> |
#<alt (+ x (* -1/2 (log y)))> |
#<alt (+ x (* -1/2 (log y)))> |
#<alt (+ x (* 1/2 (log (/ 1 y))))> |
#<alt (+ x (* 1/2 (log (/ 1 y))))> |
#<alt (+ x (* 1/2 (log (/ 1 y))))> |
#<alt (+ x (* 1/2 (log (/ 1 y))))> |
#<alt (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y))))))> |
#<alt (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y))))))> |
#<alt (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y))))))> |
#<alt (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y))))))> |
#<alt (* -1/2 (log y))> |
#<alt (+ x (* -1/2 (log y)))> |
#<alt (+ x (* -1/2 (log y)))> |
#<alt (+ x (* -1/2 (log y)))> |
#<alt x> |
#<alt (* x (+ 1 (* -1/2 (/ (log y) x))))> |
#<alt (* x (+ 1 (* -1/2 (/ (log y) x))))> |
#<alt (* x (+ 1 (* -1/2 (/ (log y) x))))> |
#<alt x> |
#<alt (* -1 (* x (- (* 1/2 (/ (log y) x)) 1)))> |
#<alt (* -1 (* x (- (* 1/2 (/ (log y) x)) 1)))> |
#<alt (* -1 (* x (- (* 1/2 (/ (log y) x)) 1)))> |
#<alt (log y)> |
#<alt (log y)> |
#<alt (log y)> |
#<alt (log y)> |
#<alt (* -1 (log (/ 1 y)))> |
#<alt (* -1 (log (/ 1 y)))> |
#<alt (* -1 (log (/ 1 y)))> |
#<alt (* -1 (log (/ 1 y)))> |
#<alt (+ (log -1) (* -1 (log (/ -1 y))))> |
#<alt (+ (log -1) (* -1 (log (/ -1 y))))> |
#<alt (+ (log -1) (* -1 (log (/ -1 y))))> |
#<alt (+ (log -1) (* -1 (log (/ -1 y))))> |
#<alt (- y (+ z (* (log y) (+ 1/2 y))))> |
#<alt (- (+ x y) (+ z (* (log y) (+ 1/2 y))))> |
#<alt (- (+ x y) (+ z (* (log y) (+ 1/2 y))))> |
#<alt (- (+ x y) (+ z (* (log y) (+ 1/2 y))))> |
#<alt x> |
#<alt (* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x))))> |
#<alt (* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x))))> |
#<alt (* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x))))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1)))> |
#<alt (- x (+ z (* 1/2 (log y))))> |
#<alt (- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y))))> |
#<alt (- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y))))> |
#<alt (- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y))))> |
#<alt (* y (- 1 (* -1 (log (/ 1 y)))))> |
#<alt (* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y)))))> |
#<alt (* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y)))))> |
#<alt (* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y)))))> |
#<alt (* y (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))> |
#<alt (* -1 (* y (- (* -1 (/ (- x (+ z (* 1/2 (+ (log -1) (* -1 (log (/ -1 y))))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))))> |
#<alt (* -1 (* y (- (* -1 (/ (- x (+ z (* 1/2 (+ (log -1) (* -1 (log (/ -1 y))))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))))> |
#<alt (* -1 (* y (- (* -1 (/ (- x (+ z (* 1/2 (+ (log -1) (* -1 (log (/ -1 y))))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))))> |
#<alt (- (+ x y) (* (log y) (+ 1/2 y)))> |
#<alt (- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y)))> |
#<alt (- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y)))> |
#<alt (- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y)))> |
#<alt (* -1 z)> |
#<alt (* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z))))> |
#<alt (* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z))))> |
#<alt (* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z))))> |
#<alt (* -1 z)> |
#<alt (* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z)))))> |
#<alt (* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z)))))> |
#<alt (* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z)))))> |
#<alt (+ x (* -1/2 (log y)))> |
#<alt (+ x (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y))))))> |
#<alt (+ x (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y))))))> |
#<alt (+ x (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y))))))> |
#<alt (* y (+ 1 (log (/ 1 y))))> |
#<alt (* y (+ 1 (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y)))))> |
#<alt (* y (+ 1 (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y)))))> |
#<alt (* y (+ 1 (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y)))))> |
#<alt (* -1 (* y (- (+ (log -1) (* -1 (log (/ -1 y)))) 1)))> |
#<alt (* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)))) 1)))> |
#<alt (* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)))) 1)))> |
#<alt (* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)))) 1)))> |
#<alt (+ y (* -1 (* (log y) (+ 1/2 y))))> |
#<alt (+ x (+ y (* -1 (* (log y) (+ 1/2 y)))))> |
#<alt (+ x (+ y (* -1 (* (log y) (+ 1/2 y)))))> |
#<alt (+ x (+ y (* -1 (* (log y) (+ 1/2 y)))))> |
#<alt x> |
#<alt (* x (+ 1 (+ (* -1 (/ (* (log y) (+ 1/2 y)) x)) (/ y x))))> |
#<alt (* x (+ 1 (+ (* -1 (/ (* (log y) (+ 1/2 y)) x)) (/ y x))))> |
#<alt (* x (+ 1 (+ (* -1 (/ (* (log y) (+ 1/2 y)) x)) (/ y x))))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (+ y (* -1 (* (log y) (+ 1/2 y)))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (+ y (* -1 (* (log y) (+ 1/2 y)))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (+ y (* -1 (* (log y) (+ 1/2 y)))) x)) 1)))> |
#<alt (+ x (* -1/2 (log y)))> |
#<alt (+ x (+ (* -1 (* y (log y))) (* -1/2 (log y))))> |
#<alt (+ x (+ (* -1 (* y (log y))) (* -1/2 (log y))))> |
#<alt (+ x (+ (* -1 (* y (log y))) (* -1/2 (log y))))> |
#<alt (* y (log (/ 1 y)))> |
#<alt (* y (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y))))> |
#<alt (* y (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y))))> |
#<alt (* y (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y))))> |
#<alt (* -1 (* y (+ (log -1) (* -1 (log (/ -1 y))))))> |
#<alt (* -1 (* y (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y))))))> |
#<alt (* -1 (* y (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y))))))> |
#<alt (* -1 (* y (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y))))))> |
#<alt (* -1 (* (log y) (+ 1/2 y)))> |
#<alt (+ x (* -1 (* (log y) (+ 1/2 y))))> |
#<alt (+ x (* -1 (* (log y) (+ 1/2 y))))> |
#<alt (+ x (* -1 (* (log y) (+ 1/2 y))))> |
#<alt x> |
#<alt (* x (+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x))))> |
#<alt (* x (+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x))))> |
#<alt (* x (+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x))))> |
#<alt x> |
#<alt (* -1 (* x (- (/ (* (log y) (+ 1/2 y)) x) 1)))> |
#<alt (* -1 (* x (- (/ (* (log y) (+ 1/2 y)) x) 1)))> |
#<alt (* -1 (* x (- (/ (* (log y) (+ 1/2 y)) x) 1)))> |
#<alt (* -1 (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2)))> |
#<alt (- x (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2)))> |
#<alt (- x (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2)))> |
#<alt (- x (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2)))> |
#<alt x> |
#<alt (* x (+ 1 (* -1 (/ (* (log y) (- (pow y 2) 1/4)) (* x (- y 1/2))))))> |
#<alt (* x (+ 1 (* -1 (/ (* (log y) (- (pow y 2) 1/4)) (* x (- y 1/2))))))> |
#<alt (* x (+ 1 (* -1 (/ (* (log y) (- (pow y 2) 1/4)) (* x (- y 1/2))))))> |
#<alt x> |
#<alt (* -1 (* x (- (/ (* (log y) (- (pow y 2) 1/4)) (* x (- y 1/2))) 1)))> |
#<alt (* -1 (* x (- (/ (* (log y) (- (pow y 2) 1/4)) (* x (- y 1/2))) 1)))> |
#<alt (* -1 (* x (- (/ (* (log y) (- (pow y 2) 1/4)) (* x (- y 1/2))) 1)))> |
#<alt (- x (* 1/2 (log y)))> |
#<alt (- (+ x (* -1 (* y (log y)))) (* 1/2 (log y)))> |
#<alt (- (+ x (* -1 (* y (log y)))) (* 1/2 (log y)))> |
#<alt (- (+ x (* -1 (* y (log y)))) (* 1/2 (log y)))> |
#<alt (* y (log (/ 1 y)))> |
#<alt (* y (- (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y)) (* -1 (log (/ 1 y)))))> |
#<alt (* y (- (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y)) (* -1 (log (/ 1 y)))))> |
#<alt (* y (- (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y)) (* -1 (log (/ 1 y)))))> |
#<alt (* -1 (* y (+ (log -1) (* -1 (log (/ -1 y))))))> |
#<alt (* -1 (* y (- (* -1 (/ (- x (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))))> |
#<alt (* -1 (* y (- (* -1 (/ (- x (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))))> |
#<alt (* -1 (* y (- (* -1 (/ (- x (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))))> |
#<alt (- y (+ z (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2))))> |
#<alt (- (+ x y) (+ z (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2))))> |
#<alt (- (+ x y) (+ z (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2))))> |
#<alt (- (+ x y) (+ z (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2))))> |
#<alt x> |
#<alt (* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (- (pow y 2) 1/4)) (* x (- y 1/2))))))> |
#<alt (* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (- (pow y 2) 1/4)) (* x (- y 1/2))))))> |
#<alt (* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (- (pow y 2) 1/4)) (* x (- y 1/2))))))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (- y (+ z (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2)))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (- y (+ z (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2)))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (- y (+ z (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2)))) x)) 1)))> |
#<alt (- x (+ z (* 1/2 (log y))))> |
#<alt (- (+ x (* y (+ 1 (* -1 (log y))))) (+ z (* 1/2 (log y))))> |
#<alt (- (+ x (* y (+ 1 (* -1 (log y))))) (+ z (* 1/2 (log y))))> |
#<alt (- (+ x (* y (+ 1 (* -1 (log y))))) (+ z (* 1/2 (log y))))> |
#<alt (* y (- 1 (* -1 (log (/ 1 y)))))> |
#<alt (* y (- (+ 1 (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y))) (+ (* -1 (log (/ 1 y))) (/ z y))))> |
#<alt (* y (- (+ 1 (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y))) (+ (* -1 (log (/ 1 y))) (/ z y))))> |
#<alt (* y (- (+ 1 (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y))) (+ (* -1 (log (/ 1 y))) (/ z y))))> |
#<alt (* y (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))> |
#<alt (* -1 (* y (- (* -1 (/ (- x (+ z (* 1/2 (+ (log -1) (* -1 (log (/ -1 y))))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))))> |
#<alt (* -1 (* y (- (* -1 (/ (- x (+ z (* 1/2 (+ (log -1) (* -1 (log (/ -1 y))))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))))> |
#<alt (* -1 (* y (- (* -1 (/ (- x (+ z (* 1/2 (+ (log -1) (* -1 (log (/ -1 y))))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))))> |
#<alt (- (+ x y) (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2)))> |
#<alt (- (+ x (+ y (* -1 z))) (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2)))> |
#<alt (- (+ x (+ y (* -1 z))) (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2)))> |
#<alt (- (+ x (+ y (* -1 z))) (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2)))> |
#<alt (* -1 z)> |
#<alt (* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (- (pow y 2) 1/4)) (* z (- y 1/2))))))> |
#<alt (* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (- (pow y 2) 1/4)) (* z (- y 1/2))))))> |
#<alt (* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (- (pow y 2) 1/4)) (* z (- y 1/2))))))> |
#<alt (* -1 z)> |
#<alt (* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2))) z)))))> |
#<alt (* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2))) z)))))> |
#<alt (* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2))) z)))))> |
#<alt (- y (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2)))> |
#<alt (- (+ x y) (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2)))> |
#<alt (- (+ x y) (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2)))> |
#<alt (- (+ x y) (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2)))> |
#<alt x> |
#<alt (* x (- (+ 1 (/ y x)) (/ (* (log y) (- (pow y 2) 1/4)) (* x (- y 1/2)))))> |
#<alt (* x (- (+ 1 (/ y x)) (/ (* (log y) (- (pow y 2) 1/4)) (* x (- y 1/2)))))> |
#<alt (* x (- (+ 1 (/ y x)) (/ (* (log y) (- (pow y 2) 1/4)) (* x (- y 1/2)))))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (- y (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (- y (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (- y (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2))) x)) 1)))> |
#<alt (- x (* 1/2 (log y)))> |
#<alt (- (+ x (* y (+ 1 (* -1 (log y))))) (* 1/2 (log y)))> |
#<alt (- (+ x (* y (+ 1 (* -1 (log y))))) (* 1/2 (log y)))> |
#<alt (- (+ x (* y (+ 1 (* -1 (log y))))) (* 1/2 (log y)))> |
#<alt (* y (- 1 (* -1 (log (/ 1 y)))))> |
#<alt (* y (- (+ 1 (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y))) (* -1 (log (/ 1 y)))))> |
#<alt (* y (- (+ 1 (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y))) (* -1 (log (/ 1 y)))))> |
#<alt (* y (- (+ 1 (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y))) (* -1 (log (/ 1 y)))))> |
#<alt (* y (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))> |
#<alt (* -1 (* y (- (* -1 (/ (- x (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))))> |
#<alt (* -1 (* y (- (* -1 (/ (- x (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))))> |
#<alt (* -1 (* y (- (* -1 (/ (- x (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))))> |
#<alt (* 1/2 (log y))> |
#<alt (+ (* 1/2 (log y)) (* y (log y)))> |
#<alt (+ (* 1/2 (log y)) (* y (log y)))> |
#<alt (+ (* 1/2 (log y)) (* y (log y)))> |
#<alt (* -1 (* y (log (/ 1 y))))> |
#<alt (* y (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))))> |
#<alt (* y (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))))> |
#<alt (* y (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))))> |
#<alt (* y (+ (log -1) (* -1 (log (/ -1 y)))))> |
#<alt (* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y)))))> |
#<alt (* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y)))))> |
#<alt (* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y)))))> |
#<alt (* -1/4 (log y))> |
#<alt (+ (* -1/4 (log y)) (* (pow y 2) (log y)))> |
#<alt (+ (* -1/4 (log y)) (* (pow y 2) (log y)))> |
#<alt (+ (* -1/4 (log y)) (* (pow y 2) (log y)))> |
#<alt (* -1 (* (pow y 2) (log (/ 1 y))))> |
#<alt (* (pow y 2) (+ (* -1 (log (/ 1 y))) (* 1/4 (/ (log (/ 1 y)) (pow y 2)))))> |
#<alt (* (pow y 2) (+ (* -1 (log (/ 1 y))) (* 1/4 (/ (log (/ 1 y)) (pow y 2)))))> |
#<alt (* (pow y 2) (+ (* -1 (log (/ 1 y))) (* 1/4 (/ (log (/ 1 y)) (pow y 2)))))> |
#<alt (* (pow y 2) (+ (log -1) (* -1 (log (/ -1 y)))))> |
#<alt (* (pow y 2) (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1/4 (/ (+ (log -1) (* -1 (log (/ -1 y)))) (pow y 2))))))> |
#<alt (* (pow y 2) (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1/4 (/ (+ (log -1) (* -1 (log (/ -1 y)))) (pow y 2))))))> |
#<alt (* (pow y 2) (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1/4 (/ (+ (log -1) (* -1 (log (/ -1 y)))) (pow y 2))))))> |
108 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 65.0ms | y | @ | 0 | (+ (* (log y) -1/2) x) |
| 9.0ms | y | @ | -inf | (+ (* (log y) -1/2) x) |
| 8.0ms | y | @ | inf | (+ (* (log y) -1/2) x) |
| 1.0ms | y | @ | inf | (- x (/ (* (+ (* y y) -1/4) (log y)) (+ y -1/2))) |
| 1.0ms | y | @ | -inf | (- x (/ (* (+ (* y y) -1/4) (log y)) (+ y -1/2))) |
| 1× | egg-herbie |
| 10 362× | lower-fma.f64 |
| 10 362× | lower-fma.f32 |
| 3 538× | lower--.f64 |
| 3 538× | lower--.f32 |
| 3 464× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 254 | 6019 |
| 1 | 819 | 5606 |
| 2 | 2539 | 5322 |
| 3 | 7613 | 5298 |
| 0 | 8765 | 4928 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/2 (log y)) |
(+ (* 1/2 (log y)) (* y (log y))) |
(+ (* 1/2 (log y)) (* y (log y))) |
(+ (* 1/2 (log y)) (* y (log y))) |
(* -1 (* y (log (/ 1 y)))) |
(* y (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y)))) |
(* y (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y)))) |
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(* -1 (* x (- (/ (* (log y) (+ 1/2 y)) x) 1))) |
(* -1 (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2))) |
(- x (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2))) |
(- x (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2))) |
(- x (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2))) |
x |
(* x (+ 1 (* -1 (/ (* (log y) (- (pow y 2) 1/4)) (* x (- y 1/2)))))) |
(* x (+ 1 (* -1 (/ (* (log y) (- (pow y 2) 1/4)) (* x (- y 1/2)))))) |
(* x (+ 1 (* -1 (/ (* (log y) (- (pow y 2) 1/4)) (* x (- y 1/2)))))) |
x |
(* -1 (* x (- (/ (* (log y) (- (pow y 2) 1/4)) (* x (- y 1/2))) 1))) |
(* -1 (* x (- (/ (* (log y) (- (pow y 2) 1/4)) (* x (- y 1/2))) 1))) |
(* -1 (* x (- (/ (* (log y) (- (pow y 2) 1/4)) (* x (- y 1/2))) 1))) |
(- x (* 1/2 (log y))) |
(- (+ x (* -1 (* y (log y)))) (* 1/2 (log y))) |
(- (+ x (* -1 (* y (log y)))) (* 1/2 (log y))) |
(- (+ x (* -1 (* y (log y)))) (* 1/2 (log y))) |
(* y (log (/ 1 y))) |
(* y (- (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y)) (* -1 (log (/ 1 y))))) |
(* y (- (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y)) (* -1 (log (/ 1 y))))) |
(* y (- (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y)) (* -1 (log (/ 1 y))))) |
(* -1 (* y (+ (log -1) (* -1 (log (/ -1 y)))))) |
(* -1 (* y (- (* -1 (/ (- x (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))) |
(* -1 (* y (- (* -1 (/ (- x (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))) |
(* -1 (* y (- (* -1 (/ (- x (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))) |
(- y (+ z (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2)))) |
(- (+ x y) (+ z (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2)))) |
(- (+ x y) (+ z (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2)))) |
(- (+ x y) (+ z (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2)))) |
x |
(* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (- (pow y 2) 1/4)) (* x (- y 1/2)))))) |
(* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (- (pow y 2) 1/4)) (* x (- y 1/2)))))) |
(* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (- (pow y 2) 1/4)) (* x (- y 1/2)))))) |
x |
(* -1 (* x (- (* -1 (/ (- y (+ z (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2)))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- y (+ z (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2)))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- y (+ z (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2)))) x)) 1))) |
(- x (+ z (* 1/2 (log y)))) |
(- (+ x (* y (+ 1 (* -1 (log y))))) (+ z (* 1/2 (log y)))) |
(- (+ x (* y (+ 1 (* -1 (log y))))) (+ z (* 1/2 (log y)))) |
(- (+ x (* y (+ 1 (* -1 (log y))))) (+ z (* 1/2 (log y)))) |
(* y (- 1 (* -1 (log (/ 1 y))))) |
(* y (- (+ 1 (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y))) (+ (* -1 (log (/ 1 y))) (/ z y)))) |
(* y (- (+ 1 (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y))) (+ (* -1 (log (/ 1 y))) (/ z y)))) |
(* y (- (+ 1 (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y))) (+ (* -1 (log (/ 1 y))) (/ z y)))) |
(* y (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))) |
(* -1 (* y (- (* -1 (/ (- x (+ z (* 1/2 (+ (log -1) (* -1 (log (/ -1 y))))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))))) |
(* -1 (* y (- (* -1 (/ (- x (+ z (* 1/2 (+ (log -1) (* -1 (log (/ -1 y))))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))))) |
(* -1 (* y (- (* -1 (/ (- x (+ z (* 1/2 (+ (log -1) (* -1 (log (/ -1 y))))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))))) |
(- (+ x y) (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2))) |
(- (+ x (+ y (* -1 z))) (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2))) |
(- (+ x (+ y (* -1 z))) (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2))) |
(- (+ x (+ y (* -1 z))) (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2))) |
(* -1 z) |
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (- (pow y 2) 1/4)) (* z (- y 1/2)))))) |
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (- (pow y 2) 1/4)) (* z (- y 1/2)))))) |
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (- (pow y 2) 1/4)) (* z (- y 1/2)))))) |
(* -1 z) |
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2))) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2))) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2))) z))))) |
(- y (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2))) |
(- (+ x y) (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2))) |
(- (+ x y) (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2))) |
(- (+ x y) (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2))) |
x |
(* x (- (+ 1 (/ y x)) (/ (* (log y) (- (pow y 2) 1/4)) (* x (- y 1/2))))) |
(* x (- (+ 1 (/ y x)) (/ (* (log y) (- (pow y 2) 1/4)) (* x (- y 1/2))))) |
(* x (- (+ 1 (/ y x)) (/ (* (log y) (- (pow y 2) 1/4)) (* x (- y 1/2))))) |
x |
(* -1 (* x (- (* -1 (/ (- y (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- y (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- y (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2))) x)) 1))) |
(- x (* 1/2 (log y))) |
(- (+ x (* y (+ 1 (* -1 (log y))))) (* 1/2 (log y))) |
(- (+ x (* y (+ 1 (* -1 (log y))))) (* 1/2 (log y))) |
(- (+ x (* y (+ 1 (* -1 (log y))))) (* 1/2 (log y))) |
(* y (- 1 (* -1 (log (/ 1 y))))) |
(* y (- (+ 1 (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y))) (* -1 (log (/ 1 y))))) |
(* y (- (+ 1 (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y))) (* -1 (log (/ 1 y))))) |
(* y (- (+ 1 (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y))) (* -1 (log (/ 1 y))))) |
(* y (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))) |
(* -1 (* y (- (* -1 (/ (- x (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))))) |
(* -1 (* y (- (* -1 (/ (- x (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))))) |
(* -1 (* y (- (* -1 (/ (- x (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))))) |
(* 1/2 (log y)) |
(+ (* 1/2 (log y)) (* y (log y))) |
(+ (* 1/2 (log y)) (* y (log y))) |
(+ (* 1/2 (log y)) (* y (log y))) |
(* -1 (* y (log (/ 1 y)))) |
(* y (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y)))) |
(* y (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y)))) |
(* y (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y)))) |
(* y (+ (log -1) (* -1 (log (/ -1 y))))) |
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y))))) |
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y))))) |
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y))))) |
(* -1/4 (log y)) |
(+ (* -1/4 (log y)) (* (pow y 2) (log y))) |
(+ (* -1/4 (log y)) (* (pow y 2) (log y))) |
(+ (* -1/4 (log y)) (* (pow y 2) (log y))) |
(* -1 (* (pow y 2) (log (/ 1 y)))) |
(* (pow y 2) (+ (* -1 (log (/ 1 y))) (* 1/4 (/ (log (/ 1 y)) (pow y 2))))) |
(* (pow y 2) (+ (* -1 (log (/ 1 y))) (* 1/4 (/ (log (/ 1 y)) (pow y 2))))) |
(* (pow y 2) (+ (* -1 (log (/ 1 y))) (* 1/4 (/ (log (/ 1 y)) (pow y 2))))) |
(* (pow y 2) (+ (log -1) (* -1 (log (/ -1 y))))) |
(* (pow y 2) (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1/4 (/ (+ (log -1) (* -1 (log (/ -1 y)))) (pow y 2)))))) |
(* (pow y 2) (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1/4 (/ (+ (log -1) (* -1 (log (/ -1 y)))) (pow y 2)))))) |
(* (pow y 2) (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1/4 (/ (+ (log -1) (* -1 (log (/ -1 y)))) (pow y 2)))))) |
| Outputs |
|---|
(* 1/2 (log y)) |
(*.f64 #s(literal 1/2 binary64) (log.f64 y)) |
(+ (* 1/2 (log y)) (* y (log y))) |
(*.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y)) |
(+ (* 1/2 (log y)) (* y (log y))) |
(*.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y)) |
(+ (* 1/2 (log y)) (* y (log y))) |
(*.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y)) |
(* -1 (* y (log (/ 1 y)))) |
(*.f64 y (log.f64 y)) |
(* y (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y)))) |
(*.f64 y (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (log.f64 y)) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64))))) |
(* y (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y)))) |
(*.f64 y (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (log.f64 y)) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64))))) |
(* y (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y)))) |
(*.f64 y (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (log.f64 y)) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64))))) |
(* y (+ (log -1) (* -1 (log (/ -1 y))))) |
(*.f64 y (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y)))) |
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y))))) |
(*.f64 y (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)))) |
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y))))) |
(*.f64 y (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)))) |
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y))))) |
(*.f64 y (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)))) |
(* -1 (* (log y) (+ 1/2 y))) |
(*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) |
(- x (* (log y) (+ 1/2 y))) |
(fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x) |
(- x (* (log y) (+ 1/2 y))) |
(fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x) |
(- x (* (log y) (+ 1/2 y))) |
(fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x) |
x |
(* x (+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x)))) |
(fma.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) (/.f64 x x) x) |
(* x (+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x)))) |
(fma.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) (/.f64 x x) x) |
(* x (+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x)))) |
(fma.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) (/.f64 x x) x) |
x |
(* -1 (* x (- (/ (* (log y) (+ 1/2 y)) x) 1))) |
(fma.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) (/.f64 x x) x) |
(* -1 (* x (- (/ (* (log y) (+ 1/2 y)) x) 1))) |
(fma.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) (/.f64 x x) x) |
(* -1 (* x (- (/ (* (log y) (+ 1/2 y)) x) 1))) |
(fma.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) (/.f64 x x) x) |
(- x (* 1/2 (log y))) |
(fma.f64 (log.f64 y) #s(literal -1/2 binary64) x) |
(- (+ x (* -1 (* y (log y)))) (* 1/2 (log y))) |
(fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x) |
(- (+ x (* -1 (* y (log y)))) (* 1/2 (log y))) |
(fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x) |
(- (+ x (* -1 (* y (log y)))) (* 1/2 (log y))) |
(fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x) |
(* y (log (/ 1 y))) |
(neg.f64 (*.f64 y (log.f64 y))) |
(* y (- (/ x y) (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))))) |
(*.f64 y (fma.f64 (neg.f64 (log.f64 y)) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) (/.f64 x y))) |
(* y (- (/ x y) (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))))) |
(*.f64 y (fma.f64 (neg.f64 (log.f64 y)) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) (/.f64 x y))) |
(* y (- (/ x y) (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))))) |
(*.f64 y (fma.f64 (neg.f64 (log.f64 y)) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) (/.f64 x y))) |
(* -1 (* y (+ (log -1) (* -1 (log (/ -1 y)))))) |
(*.f64 y (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64)))) |
(* -1 (* y (- (* -1 (/ (- x (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))) |
(*.f64 y (+.f64 (/.f64 x y) (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) y))))) |
(* -1 (* y (- (* -1 (/ (- x (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))) |
(*.f64 y (+.f64 (/.f64 x y) (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) y))))) |
(* -1 (* y (- (* -1 (/ (- x (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))) |
(*.f64 y (+.f64 (/.f64 x y) (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) y))))) |
(- y (+ z (* (log y) (+ 1/2 y)))) |
(fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) (-.f64 y z)) |
(- (+ x y) (+ z (* (log y) (+ 1/2 y)))) |
(+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x) (-.f64 y z)) |
(- (+ x y) (+ z (* (log y) (+ 1/2 y)))) |
(+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x) (-.f64 y z)) |
(- (+ x y) (+ z (* (log y) (+ 1/2 y)))) |
(+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x) (-.f64 y z)) |
x |
(* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x)))) |
(fma.f64 x (/.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) (-.f64 y z)) x) x) |
(* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x)))) |
(fma.f64 x (/.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) (-.f64 y z)) x) x) |
(* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x)))) |
(fma.f64 x (/.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) (-.f64 y z)) x) x) |
x |
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) (-.f64 y z)) x)) (neg.f64 x)) |
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) (-.f64 y z)) x)) (neg.f64 x)) |
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) (-.f64 y z)) x)) (neg.f64 x)) |
(- x (+ z (* 1/2 (log y)))) |
(-.f64 x (fma.f64 #s(literal 1/2 binary64) (log.f64 y) z)) |
(- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y)))) |
(+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x) (-.f64 y z)) |
(- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y)))) |
(+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x) (-.f64 y z)) |
(- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y)))) |
(+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x) (-.f64 y z)) |
(* y (- 1 (* -1 (log (/ 1 y))))) |
(-.f64 y (*.f64 y (log.f64 y))) |
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y))))) |
(fma.f64 y (fma.f64 (neg.f64 (log.f64 y)) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) (/.f64 (-.f64 x z) y)) y) |
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y))))) |
(fma.f64 y (fma.f64 (neg.f64 (log.f64 y)) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) (/.f64 (-.f64 x z) y)) y) |
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y))))) |
(fma.f64 y (fma.f64 (neg.f64 (log.f64 y)) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) (/.f64 (-.f64 x z) y)) y) |
(* y (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))) |
(fma.f64 y (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #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 y (+.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (-.f64 #s(literal 1 binary64) (log.f64 #s(literal -1 binary64)))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (-.f64 x z)) y))) |
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(-.f64 (+.f64 y x) (fma.f64 (log.f64 y) (/.f64 (fma.f64 y y #s(literal -1/4 binary64)) (+.f64 y #s(literal -1/2 binary64))) z)) |
(- (+ x (+ y (* -1 z))) (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2))) |
(-.f64 (+.f64 y x) (fma.f64 (log.f64 y) (/.f64 (fma.f64 y y #s(literal -1/4 binary64)) (+.f64 y #s(literal -1/2 binary64))) z)) |
(- (+ x (+ y (* -1 z))) (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2))) |
(-.f64 (+.f64 y x) (fma.f64 (log.f64 y) (/.f64 (fma.f64 y y #s(literal -1/4 binary64)) (+.f64 y #s(literal -1/2 binary64))) z)) |
(* -1 z) |
(neg.f64 z) |
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (- (pow y 2) 1/4)) (* z (- y 1/2)))))) |
(*.f64 z (-.f64 (/.f64 y z) (-.f64 (fma.f64 (log.f64 y) (/.f64 (fma.f64 y y #s(literal -1/4 binary64)) (*.f64 z (+.f64 y #s(literal -1/2 binary64)))) #s(literal 1 binary64)) (/.f64 x z)))) |
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (- (pow y 2) 1/4)) (* z (- y 1/2)))))) |
(*.f64 z (-.f64 (/.f64 y z) (-.f64 (fma.f64 (log.f64 y) (/.f64 (fma.f64 y y #s(literal -1/4 binary64)) (*.f64 z (+.f64 y #s(literal -1/2 binary64)))) #s(literal 1 binary64)) (/.f64 x z)))) |
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (- (pow y 2) 1/4)) (* z (- y 1/2)))))) |
(*.f64 z (-.f64 (/.f64 y z) (-.f64 (fma.f64 (log.f64 y) (/.f64 (fma.f64 y y #s(literal -1/4 binary64)) (*.f64 z (+.f64 y #s(literal -1/2 binary64)))) #s(literal 1 binary64)) (/.f64 x z)))) |
(* -1 z) |
(neg.f64 z) |
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2))) z))))) |
(-.f64 (*.f64 z (/.f64 (-.f64 (+.f64 y x) (/.f64 (*.f64 (log.f64 y) (fma.f64 y y #s(literal -1/4 binary64))) (+.f64 y #s(literal -1/2 binary64)))) z)) z) |
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2))) z))))) |
(-.f64 (*.f64 z (/.f64 (-.f64 (+.f64 y x) (/.f64 (*.f64 (log.f64 y) (fma.f64 y y #s(literal -1/4 binary64))) (+.f64 y #s(literal -1/2 binary64)))) z)) z) |
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2))) z))))) |
(-.f64 (*.f64 z (/.f64 (-.f64 (+.f64 y x) (/.f64 (*.f64 (log.f64 y) (fma.f64 y y #s(literal -1/4 binary64))) (+.f64 y #s(literal -1/2 binary64)))) z)) z) |
(- y (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2))) |
(fma.f64 (fma.f64 y (neg.f64 y) #s(literal 1/4 binary64)) (/.f64 (log.f64 y) (+.f64 y #s(literal -1/2 binary64))) y) |
(- (+ x y) (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2))) |
(-.f64 (+.f64 y x) (/.f64 (*.f64 (log.f64 y) (fma.f64 y y #s(literal -1/4 binary64))) (+.f64 y #s(literal -1/2 binary64)))) |
(- (+ x y) (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2))) |
(-.f64 (+.f64 y x) (/.f64 (*.f64 (log.f64 y) (fma.f64 y y #s(literal -1/4 binary64))) (+.f64 y #s(literal -1/2 binary64)))) |
(- (+ x y) (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2))) |
(-.f64 (+.f64 y x) (/.f64 (*.f64 (log.f64 y) (fma.f64 y y #s(literal -1/4 binary64))) (+.f64 y #s(literal -1/2 binary64)))) |
x |
(* x (- (+ 1 (/ y x)) (/ (* (log y) (- (pow y 2) 1/4)) (* x (- y 1/2))))) |
(fma.f64 x (/.f64 (fma.f64 (fma.f64 y (neg.f64 y) #s(literal 1/4 binary64)) (/.f64 (log.f64 y) (+.f64 y #s(literal -1/2 binary64))) y) x) x) |
(* x (- (+ 1 (/ y x)) (/ (* (log y) (- (pow y 2) 1/4)) (* x (- y 1/2))))) |
(fma.f64 x (/.f64 (fma.f64 (fma.f64 y (neg.f64 y) #s(literal 1/4 binary64)) (/.f64 (log.f64 y) (+.f64 y #s(literal -1/2 binary64))) y) x) x) |
(* x (- (+ 1 (/ y x)) (/ (* (log y) (- (pow y 2) 1/4)) (* x (- y 1/2))))) |
(fma.f64 x (/.f64 (fma.f64 (fma.f64 y (neg.f64 y) #s(literal 1/4 binary64)) (/.f64 (log.f64 y) (+.f64 y #s(literal -1/2 binary64))) y) x) x) |
x |
(* -1 (* x (- (* -1 (/ (- y (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2))) x)) 1))) |
(neg.f64 (fma.f64 x (/.f64 (fma.f64 (log.f64 y) (/.f64 (fma.f64 y y #s(literal -1/4 binary64)) (+.f64 y #s(literal -1/2 binary64))) (neg.f64 y)) x) (neg.f64 x))) |
(* -1 (* x (- (* -1 (/ (- y (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2))) x)) 1))) |
(neg.f64 (fma.f64 x (/.f64 (fma.f64 (log.f64 y) (/.f64 (fma.f64 y y #s(literal -1/4 binary64)) (+.f64 y #s(literal -1/2 binary64))) (neg.f64 y)) x) (neg.f64 x))) |
(* -1 (* x (- (* -1 (/ (- y (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2))) x)) 1))) |
(neg.f64 (fma.f64 x (/.f64 (fma.f64 (log.f64 y) (/.f64 (fma.f64 y y #s(literal -1/4 binary64)) (+.f64 y #s(literal -1/2 binary64))) (neg.f64 y)) x) (neg.f64 x))) |
(- x (* 1/2 (log y))) |
(fma.f64 (log.f64 y) #s(literal -1/2 binary64) x) |
(- (+ x (* y (+ 1 (* -1 (log y))))) (* 1/2 (log y))) |
(+.f64 y (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)) |
(- (+ x (* y (+ 1 (* -1 (log y))))) (* 1/2 (log y))) |
(+.f64 y (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)) |
(- (+ x (* y (+ 1 (* -1 (log y))))) (* 1/2 (log y))) |
(+.f64 y (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)) |
(* y (- 1 (* -1 (log (/ 1 y))))) |
(-.f64 y (*.f64 y (log.f64 y))) |
(* y (- (+ 1 (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y))) (* -1 (log (/ 1 y))))) |
(fma.f64 y (fma.f64 (neg.f64 (log.f64 y)) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) (/.f64 x y)) y) |
(* y (- (+ 1 (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y))) (* -1 (log (/ 1 y))))) |
(fma.f64 y (fma.f64 (neg.f64 (log.f64 y)) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) (/.f64 x y)) y) |
(* y (- (+ 1 (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y))) (* -1 (log (/ 1 y))))) |
(fma.f64 y (fma.f64 (neg.f64 (log.f64 y)) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) (/.f64 x y)) y) |
(* y (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))) |
(fma.f64 y (-.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 (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))))) |
(*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 x y) (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) y)))))) |
(* -1 (* y (- (* -1 (/ (- x (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))))) |
(*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 x y) (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) y)))))) |
(* -1 (* y (- (* -1 (/ (- x (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))))) |
(*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 x y) (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) y)))))) |
(* 1/2 (log y)) |
(*.f64 #s(literal 1/2 binary64) (log.f64 y)) |
(+ (* 1/2 (log y)) (* y (log y))) |
(*.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y)) |
(+ (* 1/2 (log y)) (* y (log y))) |
(*.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y)) |
(+ (* 1/2 (log y)) (* y (log y))) |
(*.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y)) |
(* -1 (* y (log (/ 1 y)))) |
(*.f64 y (log.f64 y)) |
(* y (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y)))) |
(*.f64 y (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (log.f64 y)) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64))))) |
(* y (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y)))) |
(*.f64 y (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (log.f64 y)) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64))))) |
(* y (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y)))) |
(*.f64 y (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (log.f64 y)) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64))))) |
(* y (+ (log -1) (* -1 (log (/ -1 y))))) |
(*.f64 y (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y)))) |
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y))))) |
(*.f64 y (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)))) |
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y))))) |
(*.f64 y (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)))) |
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y))))) |
(*.f64 y (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)))) |
(* -1/4 (log y)) |
(*.f64 (log.f64 y) #s(literal -1/4 binary64)) |
(+ (* -1/4 (log y)) (* (pow y 2) (log y))) |
(*.f64 (log.f64 y) (fma.f64 y y #s(literal -1/4 binary64))) |
(+ (* -1/4 (log y)) (* (pow y 2) (log y))) |
(*.f64 (log.f64 y) (fma.f64 y y #s(literal -1/4 binary64))) |
(+ (* -1/4 (log y)) (* (pow y 2) (log y))) |
(*.f64 (log.f64 y) (fma.f64 y y #s(literal -1/4 binary64))) |
(* -1 (* (pow y 2) (log (/ 1 y)))) |
(*.f64 y (*.f64 y (log.f64 y))) |
(* (pow y 2) (+ (* -1 (log (/ 1 y))) (* 1/4 (/ (log (/ 1 y)) (pow y 2))))) |
(*.f64 (*.f64 y y) (fma.f64 (log.f64 y) (/.f64 #s(literal -1/4 binary64) (*.f64 y y)) (log.f64 y))) |
(* (pow y 2) (+ (* -1 (log (/ 1 y))) (* 1/4 (/ (log (/ 1 y)) (pow y 2))))) |
(*.f64 (*.f64 y y) (fma.f64 (log.f64 y) (/.f64 #s(literal -1/4 binary64) (*.f64 y y)) (log.f64 y))) |
(* (pow y 2) (+ (* -1 (log (/ 1 y))) (* 1/4 (/ (log (/ 1 y)) (pow y 2))))) |
(*.f64 (*.f64 y y) (fma.f64 (log.f64 y) (/.f64 #s(literal -1/4 binary64) (*.f64 y y)) (log.f64 y))) |
(* (pow y 2) (+ (log -1) (* -1 (log (/ -1 y))))) |
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (*.f64 y y)) |
(* (pow y 2) (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1/4 (/ (+ (log -1) (* -1 (log (/ -1 y)))) (pow y 2)))))) |
(*.f64 (*.f64 y y) (-.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (/.f64 #s(literal -1/4 binary64) (*.f64 y y)) (log.f64 #s(literal -1 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) y)))) |
(* (pow y 2) (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1/4 (/ (+ (log -1) (* -1 (log (/ -1 y)))) (pow y 2)))))) |
(*.f64 (*.f64 y y) (-.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (/.f64 #s(literal -1/4 binary64) (*.f64 y y)) (log.f64 #s(literal -1 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) y)))) |
(* (pow y 2) (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1/4 (/ (+ (log -1) (* -1 (log (/ -1 y)))) (pow y 2)))))) |
(*.f64 (*.f64 y y) (-.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (/.f64 #s(literal -1/4 binary64) (*.f64 y y)) (log.f64 #s(literal -1 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) y)))) |
| 1× | batch-egg-rewrite |
| 4 690× | lower-*.f32 |
| 4 688× | lower-*.f64 |
| 3 118× | lower-fma.f32 |
| 3 112× | lower-fma.f64 |
| 2 696× | lower-/.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 203 |
| 0 | 58 | 197 |
| 1 | 309 | 165 |
| 2 | 3296 | 165 |
| 0 | 8196 | 165 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64)))) |
(-.f64 x (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64))))) |
(-.f64 (+.f64 (-.f64 x (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64))))) y) z) |
(+.f64 (-.f64 x (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64))))) y) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z)) |
(neg.f64 z) |
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 (log.f64 y) #s(literal -1/2 binary64) x)) z) |
#s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 (log.f64 y) #s(literal -1/2 binary64) x)) |
(fma.f64 (log.f64 y) #s(literal -1/2 binary64) x) |
(log.f64 y) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+.f64 y (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x))) |
(+.f64 y (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)) |
(fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x) |
(-.f64 x (/.f64 (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (+.f64 y #s(literal -1/2 binary64)))) |
(-.f64 (+.f64 (-.f64 x (/.f64 (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (+.f64 y #s(literal -1/2 binary64)))) y) z) |
(+.f64 (-.f64 x (/.f64 (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (+.f64 y #s(literal -1/2 binary64)))) y) |
(/.f64 (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (+.f64 y #s(literal -1/2 binary64))) |
(*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) |
| Outputs |
|---|
(+.f64 (*.f64 (log.f64 y) y) (*.f64 (log.f64 y) #s(literal 1/2 binary64))) |
(+.f64 (*.f64 (log.f64 y) #s(literal 1/2 binary64)) (*.f64 (log.f64 y) y)) |
(+.f64 (*.f64 y (log.f64 y)) (*.f64 #s(literal 1/2 binary64) (log.f64 y))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 y)) (*.f64 y (log.f64 y))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))))) #s(literal -1 binary64))) |
(fma.f64 y (log.f64 y) (*.f64 #s(literal 1/2 binary64) (log.f64 y))) |
(fma.f64 (log.f64 y) y (*.f64 (log.f64 y) #s(literal 1/2 binary64))) |
(fma.f64 (log.f64 y) #s(literal 1/2 binary64) (*.f64 (log.f64 y) y)) |
(fma.f64 #s(literal 1/2 binary64) (log.f64 y) (*.f64 y (log.f64 y))) |
(neg.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y))) |
(/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))) #s(literal 1 binary64))) |
(/.f64 (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))) #s(literal 1 binary64)) |
(/.f64 (*.f64 (log.f64 y) (fma.f64 y y #s(literal -1/4 binary64))) (+.f64 y #s(literal -1/2 binary64))) |
(/.f64 (*.f64 (log.f64 y) (fma.f64 y y #s(literal -1/4 binary64))) (*.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1/2 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))))) |
(/.f64 (*.f64 (log.f64 y) (neg.f64 (fma.f64 y y #s(literal -1/4 binary64)))) (+.f64 #s(literal 1/2 binary64) (neg.f64 y))) |
(/.f64 (neg.f64 (log.f64 y)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/2 binary64) y))) |
(/.f64 (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)) #s(literal -1/64 binary64)) (log.f64 y)) (*.f64 (-.f64 (fma.f64 (*.f64 y y) (*.f64 y y) #s(literal 1/16 binary64)) (*.f64 #s(literal -1/4 binary64) (*.f64 y y))) (+.f64 y #s(literal -1/2 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 y y) (*.f64 y y) #s(literal -1/16 binary64)) (log.f64 y)) (*.f64 (fma.f64 y y #s(literal 1/4 binary64)) (+.f64 y #s(literal -1/2 binary64)))) |
(/.f64 (*.f64 (*.f64 (log.f64 y) (fma.f64 y y #s(literal -1/4 binary64))) #s(literal 1 binary64)) (+.f64 y #s(literal -1/2 binary64))) |
(/.f64 (*.f64 (log.f64 y) (fma.f64 y (*.f64 y y) #s(literal 1/8 binary64))) (-.f64 (fma.f64 y y #s(literal 1/4 binary64)) (*.f64 y #s(literal 1/2 binary64)))) |
(/.f64 (*.f64 (log.f64 y) (fma.f64 y (*.f64 y y) #s(literal 1/8 binary64))) (*.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y y #s(literal 1/4 binary64)) (*.f64 y #s(literal 1/2 binary64))))) |
(/.f64 (neg.f64 (*.f64 (log.f64 y) (neg.f64 (fma.f64 y y #s(literal -1/4 binary64))))) (neg.f64 (+.f64 #s(literal 1/2 binary64) (neg.f64 y)))) |
(/.f64 (neg.f64 (neg.f64 (log.f64 y))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64)))) |
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(/.f64 (-.f64 (*.f64 x (*.f64 x x)) (pow.f64 (fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) (neg.f64 y)) #s(literal 3 binary64))) (fma.f64 x x (+.f64 (pow.f64 (fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) (neg.f64 y)) #s(literal 2 binary64)) (*.f64 x (fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) (neg.f64 y)))))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) x)) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) (neg.f64 y)) #s(literal 2 binary64))) (+.f64 x (fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) (neg.f64 y)))) |
(pow.f64 (/.f64 (fma.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x) (-.f64 x (fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) y)) (*.f64 y y)) (fma.f64 y (*.f64 y y) (pow.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 y (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)) (-.f64 (*.f64 y y) (pow.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 y (-.f64 y (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)) (pow.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x) #s(literal 2 binary64))) (fma.f64 y (*.f64 y y) (pow.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 x (fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) y)) (-.f64 (pow.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x) #s(literal 2 binary64)) (*.f64 y y))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 y (*.f64 y y) (pow.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x) (-.f64 x (fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) y)) (*.f64 y y)))) |
(*.f64 (fma.f64 y (*.f64 y y) (pow.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)) (pow.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x) #s(literal 2 binary64))))) |
(*.f64 (-.f64 (*.f64 y y) (pow.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 y (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)))) |
(*.f64 (-.f64 (pow.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x) #s(literal 2 binary64)) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (-.f64 x (fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) y)))) |
(+.f64 (*.f64 (log.f64 y) y) (*.f64 (log.f64 y) #s(literal 1/2 binary64))) |
(+.f64 (*.f64 (log.f64 y) #s(literal 1/2 binary64)) (*.f64 (log.f64 y) y)) |
(+.f64 (*.f64 y (log.f64 y)) (*.f64 #s(literal 1/2 binary64) (log.f64 y))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 y)) (*.f64 y (log.f64 y))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))))) #s(literal -1 binary64))) |
(fma.f64 y (log.f64 y) (*.f64 #s(literal 1/2 binary64) (log.f64 y))) |
(fma.f64 (log.f64 y) y (*.f64 (log.f64 y) #s(literal 1/2 binary64))) |
(fma.f64 (log.f64 y) #s(literal 1/2 binary64) (*.f64 (log.f64 y) y)) |
(fma.f64 #s(literal 1/2 binary64) (log.f64 y) (*.f64 y (log.f64 y))) |
(neg.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y))) |
(/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))) #s(literal 1 binary64))) |
(/.f64 (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))) #s(literal 1 binary64)) |
(/.f64 (*.f64 (log.f64 y) (fma.f64 y y #s(literal -1/4 binary64))) (+.f64 y #s(literal -1/2 binary64))) |
(/.f64 (*.f64 (log.f64 y) (fma.f64 y y #s(literal -1/4 binary64))) (*.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1/2 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))))) |
(/.f64 (*.f64 (log.f64 y) (neg.f64 (fma.f64 y y #s(literal -1/4 binary64)))) (+.f64 #s(literal 1/2 binary64) (neg.f64 y))) |
(/.f64 (neg.f64 (log.f64 y)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/2 binary64) y))) |
(/.f64 (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)) #s(literal -1/64 binary64)) (log.f64 y)) (*.f64 (-.f64 (fma.f64 (*.f64 y y) (*.f64 y y) #s(literal 1/16 binary64)) (*.f64 #s(literal -1/4 binary64) (*.f64 y y))) (+.f64 y #s(literal -1/2 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 y y) (*.f64 y y) #s(literal -1/16 binary64)) (log.f64 y)) (*.f64 (fma.f64 y y #s(literal 1/4 binary64)) (+.f64 y #s(literal -1/2 binary64)))) |
(/.f64 (*.f64 (*.f64 (log.f64 y) (fma.f64 y y #s(literal -1/4 binary64))) #s(literal 1 binary64)) (+.f64 y #s(literal -1/2 binary64))) |
(/.f64 (*.f64 (log.f64 y) (fma.f64 y (*.f64 y y) #s(literal 1/8 binary64))) (-.f64 (fma.f64 y y #s(literal 1/4 binary64)) (*.f64 y #s(literal 1/2 binary64)))) |
(/.f64 (*.f64 (log.f64 y) (fma.f64 y (*.f64 y y) #s(literal 1/8 binary64))) (*.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y y #s(literal 1/4 binary64)) (*.f64 y #s(literal 1/2 binary64))))) |
(/.f64 (neg.f64 (*.f64 (log.f64 y) (neg.f64 (fma.f64 y y #s(literal -1/4 binary64))))) (neg.f64 (+.f64 #s(literal 1/2 binary64) (neg.f64 y)))) |
(/.f64 (neg.f64 (neg.f64 (log.f64 y))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)) #s(literal -1/64 binary64)) (/.f64 (log.f64 y) (+.f64 y #s(literal -1/2 binary64)))) (-.f64 (fma.f64 (*.f64 y y) (*.f64 y y) #s(literal 1/16 binary64)) (*.f64 #s(literal -1/4 binary64) (*.f64 y y)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 y y) (*.f64 y y) #s(literal -1/16 binary64)) (/.f64 (log.f64 y) (+.f64 y #s(literal -1/2 binary64)))) (fma.f64 y y #s(literal 1/4 binary64))) |
(/.f64 (*.f64 (fma.f64 y (*.f64 y y) #s(literal 1/8 binary64)) (log.f64 y)) (-.f64 (fma.f64 y y #s(literal 1/4 binary64)) (*.f64 y #s(literal 1/2 binary64)))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))) |
(*.f64 #s(literal 1 binary64) (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))) |
(*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) |
(*.f64 (*.f64 (log.f64 y) (fma.f64 y y #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1/2 binary64)))) |
(*.f64 (*.f64 (log.f64 y) (neg.f64 (fma.f64 y y #s(literal -1/4 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (neg.f64 y)))) |
(*.f64 (neg.f64 (log.f64 y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/2 binary64) y)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1/2 binary64))) (*.f64 (log.f64 y) (fma.f64 y y #s(literal -1/4 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1/2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 y) (fma.f64 y y #s(literal -1/4 binary64)))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (/.f64 (log.f64 y) (+.f64 y #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 (log.f64 y) (+.f64 y #s(literal -1/2 binary64))) (fma.f64 y y #s(literal -1/4 binary64))) |
(*.f64 (/.f64 (*.f64 (log.f64 y) (fma.f64 y y #s(literal -1/4 binary64))) (fma.f64 y (*.f64 y y) #s(literal -1/8 binary64))) (-.f64 (fma.f64 y y #s(literal 1/4 binary64)) (*.f64 y #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 (*.f64 (log.f64 y) (fma.f64 y y #s(literal -1/4 binary64))) (fma.f64 y y #s(literal -1/4 binary64))) (+.f64 y #s(literal 1/2 binary64))) |
(*.f64 (/.f64 (log.f64 y) #s(literal -1 binary64)) (-.f64 #s(literal -1/2 binary64) y)) |
(+.f64 (*.f64 (log.f64 y) #s(literal -1/4 binary64)) (*.f64 (log.f64 y) (*.f64 y y))) |
(+.f64 (*.f64 (log.f64 y) (*.f64 y y)) (*.f64 (log.f64 y) #s(literal -1/4 binary64))) |
(+.f64 (*.f64 #s(literal -1/4 binary64) (log.f64 y)) (*.f64 (*.f64 y y) (log.f64 y))) |
(+.f64 (*.f64 (*.f64 y y) (log.f64 y)) (*.f64 #s(literal -1/4 binary64) (log.f64 y))) |
(fma.f64 (log.f64 y) #s(literal -1/4 binary64) (*.f64 (log.f64 y) (*.f64 y y))) |
(fma.f64 (log.f64 y) (*.f64 y y) (*.f64 (log.f64 y) #s(literal -1/4 binary64))) |
(fma.f64 #s(literal -1/4 binary64) (log.f64 y) (*.f64 (*.f64 y y) (log.f64 y))) |
(fma.f64 (*.f64 y y) (log.f64 y) (*.f64 #s(literal -1/4 binary64) (log.f64 y))) |
(/.f64 (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)) #s(literal -1/64 binary64)) (log.f64 y)) (-.f64 (fma.f64 (*.f64 y y) (*.f64 y y) #s(literal 1/16 binary64)) (*.f64 #s(literal -1/4 binary64) (*.f64 y y)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 y y) (*.f64 y y) #s(literal -1/16 binary64)) (log.f64 y)) (fma.f64 y y #s(literal 1/4 binary64))) |
(/.f64 (*.f64 (log.f64 y) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)) #s(literal -1/64 binary64))) (-.f64 (fma.f64 (*.f64 y y) (*.f64 y y) #s(literal 1/16 binary64)) (*.f64 #s(literal -1/4 binary64) (*.f64 y y)))) |
(/.f64 (*.f64 (log.f64 y) (fma.f64 (*.f64 y y) (*.f64 y y) #s(literal -1/16 binary64))) (fma.f64 y y #s(literal 1/4 binary64))) |
(*.f64 (log.f64 y) (fma.f64 y y #s(literal -1/4 binary64))) |
(*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) |
Compiled 35 140 to 1 575 computations (95.5% saved)
20 alts after pruning (16 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 175 | 11 | 1 186 |
| Fresh | 2 | 5 | 7 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 178 | 20 | 1 198 |
| Status | Accuracy | Program |
|---|---|---|
| 54.7% | (fma.f64 (*.f64 (+.f64 y z) (-.f64 y z)) (/.f64 #s(literal 1 binary64) (+.f64 y z)) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)) | |
| ▶ | 99.7% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x) (-.f64 y z)))) |
| ✓ | 99.8% | (-.f64 (+.f64 (-.f64 x (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64))))) y) z) |
| 49.0% | (-.f64 #s(approx (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (+ y -1/2))) y) (fma.f64 (fma.f64 y (neg.f64 y) #s(literal 1/4 binary64)) (/.f64 (log.f64 y) (+.f64 y #s(literal -1/2 binary64))) y)) z) | |
| ▶ | 59.4% | (-.f64 #s(approx (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (+ y -1/2))) y) (-.f64 y (*.f64 y (log.f64 y)))) z) |
| 59.5% | (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 (log.f64 y) (neg.f64 y) y)) z) | |
| ✓ | 70.1% | (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 (log.f64 y) #s(literal -1/2 binary64) x)) z) |
| 41.6% | (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) #s(approx (+ (* (log y) -1/2) x) (*.f64 (log.f64 y) #s(literal -1/2 binary64)))) z) | |
| 99.6% | (*.f64 (+.f64 x (+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) z)) (*.f64 (+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x) (-.f64 y z)) (/.f64 #s(literal 1 binary64) (+.f64 x (+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) z))))) | |
| 49.0% | #s(approx (- (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (+ y -1/2))) y) z) (-.f64 y (fma.f64 (log.f64 y) (/.f64 (fma.f64 y y #s(literal -1/4 binary64)) (+.f64 y #s(literal -1/2 binary64))) z))) | |
| ▶ | 31.4% | #s(approx (- (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (+ y -1/2))) y) z) (-.f64 y (*.f64 y (log.f64 y)))) |
| 77.9% | #s(approx (- (+ (- x (/ (log y) (/ 1 (+ y 1/2)))) y) z) (-.f64 (/.f64 (*.f64 z (+.f64 y (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x))) z) z)) | |
| ▶ | 48.0% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 (*.f64 (log.f64 y) (fma.f64 y y #s(literal -1/4 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1/2 binary64)))) (+.f64 x y))) |
| 31.4% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 (log.f64 y) (neg.f64 y) y)) | |
| 6.3% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z))) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z))))) | |
| ▶ | 12.6% | #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))) |
| ✓ | 70.6% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+.f64 y (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x))) |
| ✓ | 30.0% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z)) |
| 42.9% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (+ y (+ (* (log y) (- -1/2 y)) x)) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y))) | |
| 41.5% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (+ y (+ (* (log y) (- -1/2 y)) x)) (fma.f64 (log.f64 y) #s(literal -1/2 binary64) x))) |
Compiled 583 to 339 computations (41.9% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 (log.f64 y) (fma.f64 y y #s(literal -1/4 binary64))) |
| ✓ | cost-diff | 0 | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 (*.f64 (log.f64 y) (fma.f64 y y #s(literal -1/4 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1/2 binary64)))) (+.f64 x y))) |
| ✓ | cost-diff | 128 | (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1/2 binary64)))) |
| ✓ | cost-diff | 320 | (fma.f64 (*.f64 (log.f64 y) (fma.f64 y y #s(literal -1/4 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1/2 binary64)))) (+.f64 x y)) |
| ✓ | cost-diff | 0 | (*.f64 y (log.f64 y)) |
| ✓ | cost-diff | 0 | (-.f64 y (*.f64 y (log.f64 y))) |
| ✓ | cost-diff | 0 | #s(approx (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (+ y -1/2))) y) (-.f64 y (*.f64 y (log.f64 y)))) |
| ✓ | cost-diff | 0 | (-.f64 #s(approx (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (+ y -1/2))) y) (-.f64 y (*.f64 y (log.f64 y)))) z) |
| ✓ | cost-diff | 0 | (log.f64 y) |
| ✓ | cost-diff | 0 | (*.f64 y (log.f64 y)) |
| ✓ | cost-diff | 0 | (-.f64 y (*.f64 y (log.f64 y))) |
| ✓ | cost-diff | 0 | #s(approx (- (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (+ y -1/2))) y) z) (-.f64 y (*.f64 y (log.f64 y)))) |
| ✓ | cost-diff | 0 | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z))) |
| ✓ | cost-diff | 64 | (-.f64 #s(literal 0 binary64) (*.f64 z z)) |
| ✓ | cost-diff | 192 | (+.f64 #s(literal 0 binary64) z) |
| ✓ | cost-diff | 1024 | (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z)) |
| ✓ | cost-diff | 0 | (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x) |
| ✓ | cost-diff | 0 | (+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x) (-.f64 y z)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x) (-.f64 y z))) |
| ✓ | cost-diff | 1408 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x) (-.f64 y z)))) |
| 12 012× | lower-fma.f32 |
| 12 006× | lower-fma.f64 |
| 1 982× | lower-*.f32 |
| 1 976× | lower-*.f64 |
| 1 896× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 282 |
| 0 | 70 | 265 |
| 1 | 149 | 263 |
| 2 | 387 | 254 |
| 3 | 1203 | 254 |
| 4 | 3510 | 254 |
| 5 | 5897 | 254 |
| 0 | 8144 | 249 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x) (-.f64 y z)))) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x) (-.f64 y z))) |
(+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x) (-.f64 y z)) |
(fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x) |
(log.f64 y) |
y |
(-.f64 #s(literal -1/2 binary64) y) |
#s(literal -1/2 binary64) |
x |
(-.f64 y z) |
z |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z)) |
(-.f64 #s(literal 0 binary64) (*.f64 z z)) |
#s(literal 0 binary64) |
(*.f64 z z) |
z |
(+.f64 #s(literal 0 binary64) z) |
#s(approx (- (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (+ y -1/2))) y) z) (-.f64 y (*.f64 y (log.f64 y)))) |
(-.f64 y (*.f64 y (log.f64 y))) |
y |
(*.f64 y (log.f64 y)) |
(log.f64 y) |
(-.f64 #s(approx (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (+ y -1/2))) y) (-.f64 y (*.f64 y (log.f64 y)))) z) |
#s(approx (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (+ y -1/2))) y) (-.f64 y (*.f64 y (log.f64 y)))) |
(-.f64 y (*.f64 y (log.f64 y))) |
y |
(*.f64 y (log.f64 y)) |
(log.f64 y) |
z |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 (*.f64 (log.f64 y) (fma.f64 y y #s(literal -1/4 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1/2 binary64)))) (+.f64 x y))) |
(fma.f64 (*.f64 (log.f64 y) (fma.f64 y y #s(literal -1/4 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1/2 binary64)))) (+.f64 x y)) |
(*.f64 (log.f64 y) (fma.f64 y y #s(literal -1/4 binary64))) |
(log.f64 y) |
y |
(fma.f64 y y #s(literal -1/4 binary64)) |
#s(literal -1/4 binary64) |
(neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1/2 binary64)))) |
(/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1/2 binary64))) |
#s(literal 1 binary64) |
(+.f64 y #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
(+.f64 x y) |
x |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x) (-.f64 y z)))) |
(+.f64 y (-.f64 x (fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) z))) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x) (-.f64 y z))) |
(/.f64 #s(literal 1 binary64) (+.f64 y (-.f64 x (fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) z)))) |
(+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x) (-.f64 y z)) |
(+.f64 y (-.f64 x (fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) z))) |
(fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x) |
(log.f64 y) |
y |
(-.f64 #s(literal -1/2 binary64) y) |
#s(literal -1/2 binary64) |
x |
(-.f64 y z) |
z |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z)) |
(neg.f64 z) |
(-.f64 #s(literal 0 binary64) (*.f64 z z)) |
(*.f64 z (neg.f64 z)) |
#s(literal 0 binary64) |
(*.f64 z z) |
z |
(+.f64 #s(literal 0 binary64) z) |
z |
#s(approx (- (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (+ y -1/2))) y) z) (-.f64 y (*.f64 y (log.f64 y)))) |
(-.f64 y (*.f64 y (log.f64 y))) |
y |
(*.f64 y (log.f64 y)) |
(log.f64 y) |
(-.f64 #s(approx (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (+ y -1/2))) y) (-.f64 y (*.f64 y (log.f64 y)))) z) |
#s(approx (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (+ y -1/2))) y) (-.f64 y (*.f64 y (log.f64 y)))) |
(-.f64 y (*.f64 y (log.f64 y))) |
y |
(*.f64 y (log.f64 y)) |
(log.f64 y) |
z |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 (*.f64 (log.f64 y) (fma.f64 y y #s(literal -1/4 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1/2 binary64)))) (+.f64 x y))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 (log.f64 y) (/.f64 (fma.f64 y y #s(literal -1/4 binary64)) (-.f64 #s(literal 1/2 binary64) y)) (+.f64 y x))) |
(fma.f64 (*.f64 (log.f64 y) (fma.f64 y y #s(literal -1/4 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1/2 binary64)))) (+.f64 x y)) |
(fma.f64 (log.f64 y) (/.f64 (fma.f64 y y #s(literal -1/4 binary64)) (-.f64 #s(literal 1/2 binary64) y)) (+.f64 y x)) |
(*.f64 (log.f64 y) (fma.f64 y y #s(literal -1/4 binary64))) |
(log.f64 y) |
y |
(fma.f64 y y #s(literal -1/4 binary64)) |
#s(literal -1/4 binary64) |
(neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1/2 binary64)))) |
(/.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 y #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
(+.f64 x y) |
(+.f64 y x) |
x |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1/2 binary64))) |
| ✓ | accuracy | 99.8% | (*.f64 (log.f64 y) (fma.f64 y y #s(literal -1/4 binary64))) |
| ✓ | accuracy | 74.8% | (fma.f64 (*.f64 (log.f64 y) (fma.f64 y y #s(literal -1/4 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1/2 binary64)))) (+.f64 x y)) |
| ✓ | accuracy | 70.7% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 (*.f64 (log.f64 y) (fma.f64 y y #s(literal -1/4 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1/2 binary64)))) (+.f64 x y))) |
| ✓ | accuracy | 100.0% | (-.f64 #s(approx (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (+ y -1/2))) y) (-.f64 y (*.f64 y (log.f64 y)))) z) |
| ✓ | accuracy | 99.6% | (*.f64 y (log.f64 y)) |
| ✓ | accuracy | 99.6% | (-.f64 y (*.f64 y (log.f64 y))) |
| ✓ | accuracy | 39.2% | #s(approx (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (+ y -1/2))) y) (-.f64 y (*.f64 y (log.f64 y)))) |
| ✓ | accuracy | 100.0% | (log.f64 y) |
| ✓ | accuracy | 99.6% | (*.f64 y (log.f64 y)) |
| ✓ | accuracy | 99.6% | (-.f64 y (*.f64 y (log.f64 y))) |
| ✓ | accuracy | 31.5% | #s(approx (- (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (+ y -1/2))) y) z) (-.f64 y (*.f64 y (log.f64 y)))) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal 0 binary64) z) |
| ✓ | accuracy | 100.0% | (*.f64 z z) |
| ✓ | accuracy | 53.5% | (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z)) |
| ✓ | accuracy | 30.0% | #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))) |
| ✓ | accuracy | 99.9% | (+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x) (-.f64 y z)) |
| ✓ | accuracy | 99.8% | (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x) |
| ✓ | accuracy | 99.8% | (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x) (-.f64 y z))) |
| ✓ | accuracy | 99.7% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x) (-.f64 y z)))) |
| 70.0ms | 255× | 0 | valid |
| 1.0ms | 1× | 1 | valid |
Compiled 246 to 43 computations (82.5% saved)
ival-add: 11.0ms (24.1% of total)ival-mult: 11.0ms (24.1% of total)ival-sub: 9.0ms (19.7% of total)ival-div: 8.0ms (17.5% of total)ival-log: 5.0ms (10.9% of total)exact: 1.0ms (2.2% of total)ival-neg: 1.0ms (2.2% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x) (-.f64 y z))))> |
#<alt (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x) (-.f64 y z)))> |
#<alt (+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x) (-.f64 y z))> |
#<alt (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)> |
#<alt (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z))> |
#<alt (+.f64 #s(literal 0 binary64) z)> |
#<alt (-.f64 #s(literal 0 binary64) (*.f64 z z))> |
#<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)))> |
#<alt #s(approx (- (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (+ y -1/2))) y) z) (-.f64 y (*.f64 y (log.f64 y))))> |
#<alt (-.f64 y (*.f64 y (log.f64 y)))> |
#<alt (*.f64 y (log.f64 y))> |
#<alt (log.f64 y)> |
#<alt (-.f64 #s(approx (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (+ y -1/2))) y) (-.f64 y (*.f64 y (log.f64 y)))) z)> |
#<alt #s(approx (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (+ y -1/2))) y) (-.f64 y (*.f64 y (log.f64 y))))> |
#<alt (fma.f64 (*.f64 (log.f64 y) (fma.f64 y y #s(literal -1/4 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1/2 binary64)))) (+.f64 x y))> |
#<alt (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1/2 binary64))))> |
#<alt #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 (*.f64 (log.f64 y) (fma.f64 y y #s(literal -1/4 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1/2 binary64)))) (+.f64 x y)))> |
#<alt (*.f64 (log.f64 y) (fma.f64 y y #s(literal -1/4 binary64)))> |
#<alt (*.f64 z z)> |
#<alt (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1/2 binary64)))> |
| Outputs |
|---|
#<alt (- (+ x (* -1/2 (log y))) z)> |
#<alt (- (+ x (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y)))))) z)> |
#<alt (- (+ x (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y)))))) z)> |
#<alt (- (+ x (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y)))))) z)> |
#<alt (* y (+ 1 (log (/ 1 y))))> |
#<alt (* y (- (+ 1 (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y)))) (/ z y)))> |
#<alt (* y (- (+ 1 (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y)))) (/ z y)))> |
#<alt (* y (- (+ 1 (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y)))) (/ z y)))> |
#<alt (* -1 (* y (- (+ (log -1) (* -1 (log (/ -1 y)))) 1)))> |
#<alt (* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) z) y)))) 1)))> |
#<alt (* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) z) y)))) 1)))> |
#<alt (* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) z) y)))) 1)))> |
#<alt (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z)> |
#<alt (- (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z)> |
#<alt (- (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z)> |
#<alt (- (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z)> |
#<alt x> |
#<alt (* x (- (+ 1 (+ (* -1 (/ (* (log y) (+ 1/2 y)) x)) (/ y x))) (/ z x)))> |
#<alt (* x (- (+ 1 (+ (* -1 (/ (* (log y) (+ 1/2 y)) x)) (/ y x))) (/ z x)))> |
#<alt (* x (- (+ 1 (+ (* -1 (/ (* (log y) (+ 1/2 y)) x)) (/ y x))) (/ z x)))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) x)) 1)))> |
#<alt (+ x (+ y (* -1 (* (log y) (+ 1/2 y)))))> |
#<alt (+ x (+ y (+ (* -1 z) (* -1 (* (log y) (+ 1/2 y))))))> |
#<alt (+ x (+ y (+ (* -1 z) (* -1 (* (log y) (+ 1/2 y))))))> |
#<alt (+ x (+ y (+ (* -1 z) (* -1 (* (log y) (+ 1/2 y))))))> |
#<alt (* -1 z)> |
#<alt (* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z))) 1))> |
#<alt (* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z))) 1))> |
#<alt (* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z))) 1))> |
#<alt (* -1 z)> |
#<alt (* -1 (* z (+ 1 (* -1 (/ (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z)))))> |
#<alt (* -1 (* z (+ 1 (* -1 (/ (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z)))))> |
#<alt (* -1 (* z (+ 1 (* -1 (/ (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z)))))> |
#<alt (/ 1 (- (+ x (* -1/2 (log y))) z))> |
#<alt (+ (* -1 (* y (+ (* -1 (/ (log y) (pow (- (+ x (* -1/2 (log y))) z) 2))) (/ 1 (pow (- (+ x (* -1/2 (log y))) z) 2))))) (/ 1 (- (+ x (* -1/2 (log y))) z)))> |
#<alt (+ (* y (- (/ (* y (* (+ 1 (* -1 (log y))) (+ (* -1 (/ (log y) (pow (- (+ x (* -1/2 (log y))) z) 2))) (/ 1 (pow (- (+ x (* -1/2 (log y))) z) 2))))) (- (+ x (* -1/2 (log y))) z)) (+ (* -1 (/ (log y) (pow (- (+ x (* -1/2 (log y))) z) 2))) (/ 1 (pow (- (+ x (* -1/2 (log y))) z) 2))))) (/ 1 (- (+ x (* -1/2 (log y))) z)))> |
#<alt (+ (* y (- (* y (- (* -1 (/ (* y (* (pow (+ 1 (* -1 (log y))) 2) (+ (* -1 (/ (log y) (pow (- (+ x (* -1/2 (log y))) z) 2))) (/ 1 (pow (- (+ x (* -1/2 (log y))) z) 2))))) (pow (- (+ x (* -1/2 (log y))) z) 2))) (* -1 (/ (* (+ 1 (* -1 (log y))) (+ (* -1 (/ (log y) (pow (- (+ x (* -1/2 (log y))) z) 2))) (/ 1 (pow (- (+ x (* -1/2 (log y))) z) 2)))) (- (+ x (* -1/2 (log y))) z))))) (+ (* -1 (/ (log y) (pow (- (+ x (* -1/2 (log y))) z) 2))) (/ 1 (pow (- (+ x (* -1/2 (log y))) z) 2))))) (/ 1 (- (+ x (* -1/2 (log y))) z)))> |
#<alt (/ 1 (* y (+ 1 (log (/ 1 y)))))> |
#<alt (/ (- (+ (/ 1 (+ 1 (log (/ 1 y)))) (/ z (* y (pow (+ 1 (log (/ 1 y))) 2)))) (+ (* 1/2 (/ (log (/ 1 y)) (* y (pow (+ 1 (log (/ 1 y))) 2)))) (/ x (* y (pow (+ 1 (log (/ 1 y))) 2))))) y)> |
#<alt (/ (- (+ (* -1 (/ (* (- (+ x (* 1/2 (log (/ 1 y)))) z) (- (/ z (pow (+ 1 (log (/ 1 y))) 2)) (+ (* 1/2 (/ (log (/ 1 y)) (pow (+ 1 (log (/ 1 y))) 2))) (/ x (pow (+ 1 (log (/ 1 y))) 2))))) (* (pow y 2) (+ 1 (log (/ 1 y)))))) (+ (/ 1 (+ 1 (log (/ 1 y)))) (/ z (* y (pow (+ 1 (log (/ 1 y))) 2))))) (+ (* 1/2 (/ (log (/ 1 y)) (* y (pow (+ 1 (log (/ 1 y))) 2)))) (/ x (* y (pow (+ 1 (log (/ 1 y))) 2))))) y)> |
#<alt (/ (- (+ (/ 1 (+ 1 (log (/ 1 y)))) (+ (/ z (* y (pow (+ 1 (log (/ 1 y))) 2))) (/ (* (pow (- (+ x (* 1/2 (log (/ 1 y)))) z) 2) (- (/ z (pow (+ 1 (log (/ 1 y))) 2)) (+ (* 1/2 (/ (log (/ 1 y)) (pow (+ 1 (log (/ 1 y))) 2))) (/ x (pow (+ 1 (log (/ 1 y))) 2))))) (* (pow y 3) (pow (+ 1 (log (/ 1 y))) 2))))) (+ (* 1/2 (/ (log (/ 1 y)) (* y (pow (+ 1 (log (/ 1 y))) 2)))) (+ (/ x (* y (pow (+ 1 (log (/ 1 y))) 2))) (/ (* (- (+ x (* 1/2 (log (/ 1 y)))) z) (- (/ z (pow (+ 1 (log (/ 1 y))) 2)) (+ (* 1/2 (/ (log (/ 1 y)) (pow (+ 1 (log (/ 1 y))) 2))) (/ x (pow (+ 1 (log (/ 1 y))) 2))))) (* (pow y 2) (+ 1 (log (/ 1 y)))))))) y)> |
#<alt (/ -1 (* y (- (+ (log -1) (* -1 (log (/ -1 y)))) 1)))> |
#<alt (* -1 (/ (+ (* -1 (/ (- (/ z (pow (- (+ (log -1) (* -1 (log (/ -1 y)))) 1) 2)) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) (pow (- (+ (log -1) (* -1 (log (/ -1 y)))) 1) 2))) (/ x (pow (- (+ (log -1) (* -1 (log (/ -1 y)))) 1) 2)))) y)) (/ 1 (- (+ (log -1) (* -1 (log (/ -1 y)))) 1))) y))> |
#<alt (* -1 (/ (+ (* -1 (/ (- (+ (/ z (pow (- (+ (log -1) (* -1 (log (/ -1 y)))) 1) 2)) (/ (* (- (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) z) (- (/ z (pow (- (+ (log -1) (* -1 (log (/ -1 y)))) 1) 2)) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) (pow (- (+ (log -1) (* -1 (log (/ -1 y)))) 1) 2))) (/ x (pow (- (+ (log -1) (* -1 (log (/ -1 y)))) 1) 2))))) (* y (- (+ (log -1) (* -1 (log (/ -1 y)))) 1)))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) (pow (- (+ (log -1) (* -1 (log (/ -1 y)))) 1) 2))) (/ x (pow (- (+ (log -1) (* -1 (log (/ -1 y)))) 1) 2)))) y)) (/ 1 (- (+ (log -1) (* -1 (log (/ -1 y)))) 1))) y))> |
#<alt (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) z) 2) (- (/ z (pow (- (+ (log -1) (* -1 (log (/ -1 y)))) 1) 2)) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) (pow (- (+ (log -1) (* -1 (log (/ -1 y)))) 1) 2))) (/ x (pow (- (+ (log -1) (* -1 (log (/ -1 y)))) 1) 2))))) (* y (pow (- (+ (log -1) (* -1 (log (/ -1 y)))) 1) 2)))) (/ (* (- (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) z) (- (/ z (pow (- (+ (log -1) (* -1 (log (/ -1 y)))) 1) 2)) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) (pow (- (+ (log -1) (* -1 (log (/ -1 y)))) 1) 2))) (/ x (pow (- (+ (log -1) (* -1 (log (/ -1 y)))) 1) 2))))) (- (+ (log -1) (* -1 (log (/ -1 y)))) 1))) y)) (/ z (pow (- (+ (log -1) (* -1 (log (/ -1 y)))) 1) 2))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) (pow (- (+ (log -1) (* -1 (log (/ -1 y)))) 1) 2))) (/ x (pow (- (+ (log -1) (* -1 (log (/ -1 y)))) 1) 2)))) y)) (/ 1 (- (+ (log -1) (* -1 (log (/ -1 y)))) 1))) y))> |
#<alt (/ 1 (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z))> |
#<alt (+ (* -1 (/ x (pow (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) 2))) (/ 1 (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z)))> |
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#<alt (- (+ x (+ y (* -1 z))) (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2)))> |
#<alt (* -1 z)> |
#<alt (* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (- (pow y 2) 1/4)) (* z (- y 1/2))))))> |
#<alt (* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (- (pow y 2) 1/4)) (* z (- y 1/2))))))> |
#<alt (* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (- (pow y 2) 1/4)) (* z (- y 1/2))))))> |
#<alt (* -1 z)> |
#<alt (* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2))) z)))))> |
#<alt (* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2))) z)))))> |
#<alt (* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2))) z)))))> |
#<alt (- y (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2)))> |
#<alt (- (+ x y) (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2)))> |
#<alt (- (+ x y) (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2)))> |
#<alt (- (+ x y) (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2)))> |
#<alt x> |
#<alt (* x (- (+ 1 (/ y x)) (/ (* (log y) (- (pow y 2) 1/4)) (* x (- y 1/2)))))> |
#<alt (* x (- (+ 1 (/ y x)) (/ (* (log y) (- (pow y 2) 1/4)) (* x (- y 1/2)))))> |
#<alt (* x (- (+ 1 (/ y x)) (/ (* (log y) (- (pow y 2) 1/4)) (* x (- y 1/2)))))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (- y (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (- y (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (- y (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2))) x)) 1)))> |
#<alt (- x (* 1/2 (log y)))> |
#<alt (- (+ x (* y (+ 1 (* -1 (log y))))) (* 1/2 (log y)))> |
#<alt (- (+ x (* y (+ 1 (* -1 (log y))))) (* 1/2 (log y)))> |
#<alt (- (+ x (* y (+ 1 (* -1 (log y))))) (* 1/2 (log y)))> |
#<alt (* y (- 1 (* -1 (log (/ 1 y)))))> |
#<alt (* y (- (+ 1 (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y))) (* -1 (log (/ 1 y)))))> |
#<alt (* y (- (+ 1 (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y))) (* -1 (log (/ 1 y)))))> |
#<alt (* y (- (+ 1 (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y))) (* -1 (log (/ 1 y)))))> |
#<alt (* y (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))> |
#<alt (* -1 (* y (- (* -1 (/ (- x (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))))> |
#<alt (* -1 (* y (- (* -1 (/ (- x (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))))> |
#<alt (* -1 (* y (- (* -1 (/ (- x (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))))> |
#<alt (+ x (* -1/2 (log y)))> |
#<alt (+ x (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y))))))> |
#<alt (+ x (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y))))))> |
#<alt (+ x (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y))))))> |
#<alt (* y (+ 1 (log (/ 1 y))))> |
#<alt (* y (+ 1 (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y)))))> |
#<alt (* y (+ 1 (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y)))))> |
#<alt (* y (+ 1 (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y)))))> |
#<alt (* -1 (* y (- (+ (log -1) (* -1 (log (/ -1 y)))) 1)))> |
#<alt (* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- x (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)))) 1)))> |
#<alt (* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- x (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)))) 1)))> |
#<alt (* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- x (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)))) 1)))> |
#<alt (+ y (* -1 (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2))))> |
#<alt (+ x (+ y (* -1 (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2)))))> |
#<alt (+ x (+ y (* -1 (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2)))))> |
#<alt (+ x (+ y (* -1 (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2)))))> |
#<alt x> |
#<alt (* x (+ 1 (+ (* -1 (/ (* (log y) (- (pow y 2) 1/4)) (* x (- y 1/2)))) (/ y x))))> |
#<alt (* x (+ 1 (+ (* -1 (/ (* (log y) (- (pow y 2) 1/4)) (* x (- y 1/2)))) (/ y x))))> |
#<alt (* x (+ 1 (+ (* -1 (/ (* (log y) (- (pow y 2) 1/4)) (* x (- y 1/2)))) (/ y x))))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (+ y (* -1 (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2)))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (+ y (* -1 (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2)))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (+ y (* -1 (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2)))) x)) 1)))> |
#<alt 2> |
#<alt (+ 2 (* 4 y))> |
#<alt (+ 2 (* y (+ 4 (* 8 y))))> |
#<alt (+ 2 (* y (+ 4 (* y (+ 8 (* 16 y))))))> |
#<alt (/ -1 y)> |
#<alt (* -1 (/ (+ 1 (* 1/2 (/ 1 y))) y))> |
#<alt (/ (- (* -1 (/ (+ 1/2 (* 1/4 (/ 1 y))) y)) 1) y)> |
#<alt (/ (- (* -1 (/ (+ 1/4 (* 1/8 (/ 1 y))) (pow y 2))) (+ 1 (* 1/2 (/ 1 y)))) y)> |
#<alt (/ -1 y)> |
#<alt (* -1 (/ (+ 1 (* 1/2 (/ 1 y))) y))> |
#<alt (* -1 (/ (+ 1 (+ (/ 1/4 (pow y 2)) (* 1/2 (/ 1 y)))) y))> |
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1/4 (* 1/8 (/ 1 y))) y)) 1/2) y))) y))> |
#<alt (- y (+ z (* (log y) (+ 1/2 y))))> |
#<alt (- (+ x y) (+ z (* (log y) (+ 1/2 y))))> |
#<alt (- (+ x y) (+ z (* (log y) (+ 1/2 y))))> |
#<alt (- (+ x y) (+ z (* (log y) (+ 1/2 y))))> |
#<alt x> |
#<alt (* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x))))> |
#<alt (* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x))))> |
#<alt (* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x))))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1)))> |
#<alt (- x (+ z (* 1/2 (log y))))> |
#<alt (- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y))))> |
#<alt (- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y))))> |
#<alt (- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y))))> |
#<alt (* y (- 1 (* -1 (log (/ 1 y)))))> |
#<alt (* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y)))))> |
#<alt (* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y)))))> |
#<alt (* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y)))))> |
#<alt (* y (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))> |
#<alt (* -1 (* y (- (* -1 (/ (- x (+ z (* 1/2 (+ (log -1) (* -1 (log (/ -1 y))))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))))> |
#<alt (* -1 (* y (- (* -1 (/ (- x (+ z (* 1/2 (+ (log -1) (* -1 (log (/ -1 y))))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))))> |
#<alt (* -1 (* y (- (* -1 (/ (- x (+ z (* 1/2 (+ (log -1) (* -1 (log (/ -1 y))))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))))> |
#<alt (- (+ x y) (* (log y) (+ 1/2 y)))> |
#<alt (- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y)))> |
#<alt (- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y)))> |
#<alt (- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y)))> |
#<alt (* -1 z)> |
#<alt (* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z))))> |
#<alt (* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z))))> |
#<alt (* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z))))> |
#<alt (* -1 z)> |
#<alt (* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z)))))> |
#<alt (* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z)))))> |
#<alt (* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z)))))> |
#<alt (* -1/4 (log y))> |
#<alt (+ (* -1/4 (log y)) (* (pow y 2) (log y)))> |
#<alt (+ (* -1/4 (log y)) (* (pow y 2) (log y)))> |
#<alt (+ (* -1/4 (log y)) (* (pow y 2) (log y)))> |
#<alt (* -1 (* (pow y 2) (log (/ 1 y))))> |
#<alt (* (pow y 2) (+ (* -1 (log (/ 1 y))) (* 1/4 (/ (log (/ 1 y)) (pow y 2)))))> |
#<alt (* (pow y 2) (+ (* -1 (log (/ 1 y))) (* 1/4 (/ (log (/ 1 y)) (pow y 2)))))> |
#<alt (* (pow y 2) (+ (* -1 (log (/ 1 y))) (* 1/4 (/ (log (/ 1 y)) (pow y 2)))))> |
#<alt (* (pow y 2) (+ (log -1) (* -1 (log (/ -1 y)))))> |
#<alt (* (pow y 2) (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1/4 (/ (+ (log -1) (* -1 (log (/ -1 y)))) (pow y 2))))))> |
#<alt (* (pow y 2) (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1/4 (/ (+ (log -1) (* -1 (log (/ -1 y)))) (pow y 2))))))> |
#<alt (* (pow y 2) (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1/4 (/ (+ (log -1) (* -1 (log (/ -1 y)))) (pow y 2))))))> |
#<alt (pow z 2)> |
#<alt (pow z 2)> |
#<alt (pow z 2)> |
#<alt (pow z 2)> |
#<alt (pow z 2)> |
#<alt (pow z 2)> |
#<alt (pow z 2)> |
#<alt (pow z 2)> |
#<alt (pow z 2)> |
#<alt (pow z 2)> |
#<alt (pow z 2)> |
#<alt (pow z 2)> |
#<alt -2> |
#<alt (- (* -4 y) 2)> |
#<alt (- (* y (- (* -8 y) 4)) 2)> |
#<alt (- (* y (- (* y (- (* -16 y) 8)) 4)) 2)> |
#<alt (/ 1 y)> |
#<alt (/ (+ 1 (* 1/2 (/ 1 y))) y)> |
#<alt (/ (+ 1 (+ (/ 1/4 (pow y 2)) (* 1/2 (/ 1 y)))) y)> |
#<alt (/ (+ 1 (+ (/ 1/4 (pow y 2)) (+ (* 1/2 (/ 1 y)) (* 1/8 (/ 1 (pow y 3)))))) y)> |
#<alt (/ 1 y)> |
#<alt (/ (+ 1 (* 1/2 (/ 1 y))) y)> |
#<alt (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/4 (/ 1 y))) y)) 1) y))> |
#<alt (* -1 (/ (- (* -1 (/ (+ 1/2 (+ (/ 1/8 (pow y 2)) (* 1/4 (/ 1 y)))) y)) 1) y))> |
111 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | y | @ | 0 | (- y (* y (log y))) |
| 4.0ms | z | @ | -inf | (- (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (+ y -1/2))) y) z) |
| 1.0ms | y | @ | -inf | (/ 1 (+ (+ (* (log y) (- -1/2 y)) x) (- y z))) |
| 1.0ms | y | @ | inf | (/ 1 (+ (+ (* (log y) (- -1/2 y)) x) (- y z))) |
| 1.0ms | x | @ | -inf | (+ (* (* (log y) (+ (* y y) -1/4)) (neg (/ 1 (+ y -1/2)))) (+ x y)) |
| 1× | egg-herbie |
| 6 360× | lower-fma.f64 |
| 6 360× | lower-fma.f32 |
| 4 248× | lower-*.f64 |
| 4 248× | lower-*.f32 |
| 3 494× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 557 | 7438 |
| 1 | 1773 | 6910 |
| 2 | 5693 | 6707 |
| 0 | 8197 | 6308 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (+ x (* -1/2 (log y))) z) |
(- (+ x (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y)))))) z) |
(- (+ x (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y)))))) z) |
(- (+ x (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y)))))) z) |
(* y (+ 1 (log (/ 1 y)))) |
(* y (- (+ 1 (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y)))) (/ z y))) |
(* y (- (+ 1 (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y)))) (/ z y))) |
(* y (- (+ 1 (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y)))) (/ z y))) |
(* -1 (* y (- (+ (log -1) (* -1 (log (/ -1 y)))) 1))) |
(* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) z) y)))) 1))) |
(* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) z) y)))) 1))) |
(* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) z) y)))) 1))) |
(- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) |
(- (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z) |
(- (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z) |
(- (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z) |
x |
(* x (- (+ 1 (+ (* -1 (/ (* (log y) (+ 1/2 y)) x)) (/ y x))) (/ z x))) |
(* x (- (+ 1 (+ (* -1 (/ (* (log y) (+ 1/2 y)) x)) (/ y x))) (/ z x))) |
(* x (- (+ 1 (+ (* -1 (/ (* (log y) (+ 1/2 y)) x)) (/ y x))) (/ z x))) |
x |
(* -1 (* x (- (* -1 (/ (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) x)) 1))) |
(+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) |
(+ x (+ y (+ (* -1 z) (* -1 (* (log y) (+ 1/2 y)))))) |
(+ x (+ y (+ (* -1 z) (* -1 (* (log y) (+ 1/2 y)))))) |
(+ x (+ y (+ (* -1 z) (* -1 (* (log y) (+ 1/2 y)))))) |
(* -1 z) |
(* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z))) 1)) |
(* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z))) 1)) |
(* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z))) 1)) |
(* -1 z) |
(* -1 (* z (+ 1 (* -1 (/ (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z))))) |
(/ 1 (- (+ x (* -1/2 (log y))) z)) |
(+ (* -1 (* y (+ (* -1 (/ (log y) (pow (- (+ x (* -1/2 (log y))) z) 2))) (/ 1 (pow (- (+ x (* -1/2 (log y))) z) 2))))) (/ 1 (- (+ x (* -1/2 (log y))) z))) |
(+ (* y (- (/ (* y (* (+ 1 (* -1 (log y))) (+ (* -1 (/ (log y) (pow (- (+ x (* -1/2 (log y))) z) 2))) (/ 1 (pow (- (+ x (* -1/2 (log y))) z) 2))))) (- (+ x (* -1/2 (log y))) z)) (+ (* -1 (/ (log y) (pow (- (+ x (* -1/2 (log y))) z) 2))) (/ 1 (pow (- (+ x (* -1/2 (log y))) z) 2))))) (/ 1 (- (+ x (* -1/2 (log y))) z))) |
(+ (* y (- (* y (- (* -1 (/ (* y (* (pow (+ 1 (* -1 (log y))) 2) (+ (* -1 (/ (log y) (pow (- (+ x (* -1/2 (log y))) z) 2))) (/ 1 (pow (- (+ x (* -1/2 (log y))) z) 2))))) (pow (- (+ x (* -1/2 (log y))) z) 2))) (* -1 (/ (* (+ 1 (* -1 (log y))) (+ (* -1 (/ (log y) (pow (- (+ x (* -1/2 (log y))) z) 2))) (/ 1 (pow (- (+ x (* -1/2 (log y))) z) 2)))) (- (+ x (* -1/2 (log y))) z))))) (+ (* -1 (/ (log y) (pow (- (+ x (* -1/2 (log y))) z) 2))) (/ 1 (pow (- (+ x (* -1/2 (log y))) z) 2))))) (/ 1 (- (+ x (* -1/2 (log y))) z))) |
(/ 1 (* y (+ 1 (log (/ 1 y))))) |
(/ (- (+ (/ 1 (+ 1 (log (/ 1 y)))) (/ z (* y (pow (+ 1 (log (/ 1 y))) 2)))) (+ (* 1/2 (/ (log (/ 1 y)) (* y (pow (+ 1 (log (/ 1 y))) 2)))) (/ x (* y (pow (+ 1 (log (/ 1 y))) 2))))) y) |
(/ (- (+ (* -1 (/ (* (- (+ x (* 1/2 (log (/ 1 y)))) z) (- (/ z (pow (+ 1 (log (/ 1 y))) 2)) (+ (* 1/2 (/ (log (/ 1 y)) (pow (+ 1 (log (/ 1 y))) 2))) (/ x (pow (+ 1 (log (/ 1 y))) 2))))) (* (pow y 2) (+ 1 (log (/ 1 y)))))) (+ (/ 1 (+ 1 (log (/ 1 y)))) (/ z (* y (pow (+ 1 (log (/ 1 y))) 2))))) (+ (* 1/2 (/ (log (/ 1 y)) (* y (pow (+ 1 (log (/ 1 y))) 2)))) (/ x (* y (pow (+ 1 (log (/ 1 y))) 2))))) y) |
(/ (- (+ (/ 1 (+ 1 (log (/ 1 y)))) (+ (/ z (* y (pow (+ 1 (log (/ 1 y))) 2))) (/ (* (pow (- (+ x (* 1/2 (log (/ 1 y)))) z) 2) (- (/ z (pow (+ 1 (log (/ 1 y))) 2)) (+ (* 1/2 (/ (log (/ 1 y)) (pow (+ 1 (log (/ 1 y))) 2))) (/ x (pow (+ 1 (log (/ 1 y))) 2))))) (* (pow y 3) (pow (+ 1 (log (/ 1 y))) 2))))) (+ (* 1/2 (/ (log (/ 1 y)) (* y (pow (+ 1 (log (/ 1 y))) 2)))) (+ (/ x (* y (pow (+ 1 (log (/ 1 y))) 2))) (/ (* (- (+ x (* 1/2 (log (/ 1 y)))) z) (- (/ z (pow (+ 1 (log (/ 1 y))) 2)) (+ (* 1/2 (/ (log (/ 1 y)) (pow (+ 1 (log (/ 1 y))) 2))) (/ x (pow (+ 1 (log (/ 1 y))) 2))))) (* (pow y 2) (+ 1 (log (/ 1 y)))))))) y) |
(/ -1 (* y (- (+ (log -1) (* -1 (log (/ -1 y)))) 1))) |
(* -1 (/ (+ (* -1 (/ (- (/ z (pow (- (+ (log -1) (* -1 (log (/ -1 y)))) 1) 2)) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) (pow (- (+ (log -1) (* -1 (log (/ -1 y)))) 1) 2))) (/ x (pow (- (+ (log -1) (* -1 (log (/ -1 y)))) 1) 2)))) y)) (/ 1 (- (+ (log -1) (* -1 (log (/ -1 y)))) 1))) y)) |
(* -1 (/ (+ (* -1 (/ (- (+ (/ z (pow (- (+ (log -1) (* -1 (log (/ -1 y)))) 1) 2)) (/ (* (- (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) z) (- (/ z (pow (- (+ (log -1) (* -1 (log (/ -1 y)))) 1) 2)) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) (pow (- (+ (log -1) (* -1 (log (/ -1 y)))) 1) 2))) (/ x (pow (- (+ (log -1) (* -1 (log (/ -1 y)))) 1) 2))))) (* y (- (+ (log -1) (* -1 (log (/ -1 y)))) 1)))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) (pow (- (+ (log -1) (* -1 (log (/ -1 y)))) 1) 2))) (/ x (pow (- (+ (log -1) (* -1 (log (/ -1 y)))) 1) 2)))) y)) (/ 1 (- (+ (log -1) (* -1 (log (/ -1 y)))) 1))) y)) |
(* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) z) 2) (- (/ z (pow (- (+ (log -1) (* -1 (log (/ -1 y)))) 1) 2)) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) (pow (- (+ (log -1) (* -1 (log (/ -1 y)))) 1) 2))) (/ x (pow (- (+ (log -1) (* -1 (log (/ -1 y)))) 1) 2))))) (* y (pow (- (+ (log -1) (* -1 (log (/ -1 y)))) 1) 2)))) (/ (* (- (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) z) (- (/ z (pow (- (+ (log -1) (* -1 (log (/ -1 y)))) 1) 2)) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) (pow (- (+ (log -1) (* -1 (log (/ -1 y)))) 1) 2))) (/ x (pow (- (+ (log -1) (* -1 (log (/ -1 y)))) 1) 2))))) (- (+ (log -1) (* -1 (log (/ -1 y)))) 1))) y)) (/ z (pow (- (+ (log -1) (* -1 (log (/ -1 y)))) 1) 2))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) (pow (- (+ (log -1) (* -1 (log (/ -1 y)))) 1) 2))) (/ x (pow (- (+ (log -1) (* -1 (log (/ -1 y)))) 1) 2)))) y)) (/ 1 (- (+ (log -1) (* -1 (log (/ -1 y)))) 1))) y)) |
(/ 1 (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z)) |
(+ (* -1 (/ x (pow (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) 2))) (/ 1 (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z))) |
(+ (* x (- (/ x (pow (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) 3)) (/ 1 (pow (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) 2)))) (/ 1 (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z))) |
(+ (* x (- (* x (+ (* -1 (/ x (pow (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) 4))) (/ 1 (pow (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) 3)))) (/ 1 (pow (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) 2)))) (/ 1 (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z))) |
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(* y (+ 1 (log (/ 1 y)))) |
(* y (+ 1 (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y))))) |
(* y (+ 1 (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y))))) |
(* y (+ 1 (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y))))) |
(* -1 (* y (- (+ (log -1) (* -1 (log (/ -1 y)))) 1))) |
(* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- x (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)))) 1))) |
(* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- x (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)))) 1))) |
(* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- x (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)))) 1))) |
(+ y (* -1 (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2)))) |
(+ x (+ y (* -1 (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2))))) |
(+ x (+ y (* -1 (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2))))) |
(+ x (+ y (* -1 (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2))))) |
x |
(* x (+ 1 (+ (* -1 (/ (* (log y) (- (pow y 2) 1/4)) (* x (- y 1/2)))) (/ y x)))) |
(* x (+ 1 (+ (* -1 (/ (* (log y) (- (pow y 2) 1/4)) (* x (- y 1/2)))) (/ y x)))) |
(* x (+ 1 (+ (* -1 (/ (* (log y) (- (pow y 2) 1/4)) (* x (- y 1/2)))) (/ y x)))) |
x |
(* -1 (* x (- (* -1 (/ (+ y (* -1 (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2)))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ y (* -1 (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2)))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ y (* -1 (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2)))) x)) 1))) |
2 |
(+ 2 (* 4 y)) |
(+ 2 (* y (+ 4 (* 8 y)))) |
(+ 2 (* y (+ 4 (* y (+ 8 (* 16 y)))))) |
(/ -1 y) |
(* -1 (/ (+ 1 (* 1/2 (/ 1 y))) y)) |
(/ (- (* -1 (/ (+ 1/2 (* 1/4 (/ 1 y))) y)) 1) y) |
(/ (- (* -1 (/ (+ 1/4 (* 1/8 (/ 1 y))) (pow y 2))) (+ 1 (* 1/2 (/ 1 y)))) y) |
(/ -1 y) |
(* -1 (/ (+ 1 (* 1/2 (/ 1 y))) y)) |
(* -1 (/ (+ 1 (+ (/ 1/4 (pow y 2)) (* 1/2 (/ 1 y)))) y)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1/4 (* 1/8 (/ 1 y))) y)) 1/2) y))) y)) |
(- y (+ z (* (log y) (+ 1/2 y)))) |
(- (+ x y) (+ z (* (log y) (+ 1/2 y)))) |
(- (+ x y) (+ z (* (log y) (+ 1/2 y)))) |
(- (+ x y) (+ z (* (log y) (+ 1/2 y)))) |
x |
(* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x)))) |
(* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x)))) |
(* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x)))) |
x |
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1))) |
(- x (+ z (* 1/2 (log y)))) |
(- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y)))) |
(- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y)))) |
(- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y)))) |
(* y (- 1 (* -1 (log (/ 1 y))))) |
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y))))) |
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y))))) |
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y))))) |
(* y (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))) |
(* -1 (* y (- (* -1 (/ (- x (+ z (* 1/2 (+ (log -1) (* -1 (log (/ -1 y))))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))))) |
(* -1 (* y (- (* -1 (/ (- x (+ z (* 1/2 (+ (log -1) (* -1 (log (/ -1 y))))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))))) |
(* -1 (* y (- (* -1 (/ (- x (+ z (* 1/2 (+ (log -1) (* -1 (log (/ -1 y))))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))))) |
(- (+ x y) (* (log y) (+ 1/2 y))) |
(- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y))) |
(- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y))) |
(- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y))) |
(* -1 z) |
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z)))) |
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z)))) |
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z)))) |
(* -1 z) |
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z))))) |
(* -1/4 (log y)) |
(+ (* -1/4 (log y)) (* (pow y 2) (log y))) |
(+ (* -1/4 (log y)) (* (pow y 2) (log y))) |
(+ (* -1/4 (log y)) (* (pow y 2) (log y))) |
(* -1 (* (pow y 2) (log (/ 1 y)))) |
(* (pow y 2) (+ (* -1 (log (/ 1 y))) (* 1/4 (/ (log (/ 1 y)) (pow y 2))))) |
(* (pow y 2) (+ (* -1 (log (/ 1 y))) (* 1/4 (/ (log (/ 1 y)) (pow y 2))))) |
(* (pow y 2) (+ (* -1 (log (/ 1 y))) (* 1/4 (/ (log (/ 1 y)) (pow y 2))))) |
(* (pow y 2) (+ (log -1) (* -1 (log (/ -1 y))))) |
(* (pow y 2) (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1/4 (/ (+ (log -1) (* -1 (log (/ -1 y)))) (pow y 2)))))) |
(* (pow y 2) (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1/4 (/ (+ (log -1) (* -1 (log (/ -1 y)))) (pow y 2)))))) |
(* (pow y 2) (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1/4 (/ (+ (log -1) (* -1 (log (/ -1 y)))) (pow y 2)))))) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
-2 |
(- (* -4 y) 2) |
(- (* y (- (* -8 y) 4)) 2) |
(- (* y (- (* y (- (* -16 y) 8)) 4)) 2) |
(/ 1 y) |
(/ (+ 1 (* 1/2 (/ 1 y))) y) |
(/ (+ 1 (+ (/ 1/4 (pow y 2)) (* 1/2 (/ 1 y)))) y) |
(/ (+ 1 (+ (/ 1/4 (pow y 2)) (+ (* 1/2 (/ 1 y)) (* 1/8 (/ 1 (pow y 3)))))) y) |
(/ 1 y) |
(/ (+ 1 (* 1/2 (/ 1 y))) y) |
(* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/4 (/ 1 y))) y)) 1) y)) |
(* -1 (/ (- (* -1 (/ (+ 1/2 (+ (/ 1/8 (pow y 2)) (* 1/4 (/ 1 y)))) y)) 1) y)) |
| Outputs |
|---|
(- (+ x (* -1/2 (log y))) z) |
(-.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x) z) |
(- (+ x (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y)))))) z) |
(+.f64 y (-.f64 x (fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) z))) |
(- (+ x (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y)))))) z) |
(+.f64 y (-.f64 x (fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) z))) |
(- (+ x (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y)))))) z) |
(+.f64 y (-.f64 x (fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) z))) |
(* y (+ 1 (log (/ 1 y)))) |
(fma.f64 (log.f64 y) (neg.f64 y) y) |
(* y (- (+ 1 (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y)))) (/ z y))) |
(+.f64 y (*.f64 y (+.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 y)) y) (log.f64 y)) (/.f64 (-.f64 x z) y)))) |
(* y (- (+ 1 (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y)))) (/ z y))) |
(+.f64 y (*.f64 y (+.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 y)) y) (log.f64 y)) (/.f64 (-.f64 x z) y)))) |
(* y (- (+ 1 (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y)))) (/ z y))) |
(+.f64 y (*.f64 y (+.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 y)) y) (log.f64 y)) (/.f64 (-.f64 x z) y)))) |
(* -1 (* y (- (+ (log -1) (* -1 (log (/ -1 y)))) 1))) |
(fma.f64 y (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64))) (neg.f64 (neg.f64 y))) |
(* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) z) y)))) 1))) |
(*.f64 y (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (-.f64 x z)) y) (+.f64 (-.f64 #s(literal 1 binary64) (log.f64 #s(literal -1 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) y))))) |
(* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) z) y)))) 1))) |
(*.f64 y (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (-.f64 x z)) y) (+.f64 (-.f64 #s(literal 1 binary64) (log.f64 #s(literal -1 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) y))))) |
(* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) z) y)))) 1))) |
(*.f64 y (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (-.f64 x z)) y) (+.f64 (-.f64 #s(literal 1 binary64) (log.f64 #s(literal -1 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) y))))) |
(- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) |
(-.f64 y (fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) z)) |
(- (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z) |
(+.f64 y (-.f64 x (fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) z))) |
(- (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z) |
(+.f64 y (-.f64 x (fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) z))) |
(- (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z) |
(+.f64 y (-.f64 x (fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) z))) |
x |
(* x (- (+ 1 (+ (* -1 (/ (* (log y) (+ 1/2 y)) x)) (/ y x))) (/ z x))) |
(+.f64 x (*.f64 x (/.f64 (-.f64 y (fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) z)) x))) |
(* x (- (+ 1 (+ (* -1 (/ (* (log y) (+ 1/2 y)) x)) (/ y x))) (/ z x))) |
(+.f64 x (*.f64 x (/.f64 (-.f64 y (fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) z)) x))) |
(* x (- (+ 1 (+ (* -1 (/ (* (log y) (+ 1/2 y)) x)) (/ y x))) (/ z x))) |
(+.f64 x (*.f64 x (/.f64 (-.f64 y (fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) z)) x))) |
x |
(* -1 (* x (- (* -1 (/ (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) x)) 1))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 y (fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) z)) x)) (neg.f64 x)) |
(* -1 (* x (- (* -1 (/ (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) x)) 1))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 y (fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) z)) x)) (neg.f64 x)) |
(* -1 (* x (- (* -1 (/ (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) x)) 1))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 y (fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) z)) x)) (neg.f64 x)) |
(+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) |
(fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) (+.f64 x y)) |
(+ x (+ y (+ (* -1 z) (* -1 (* (log y) (+ 1/2 y)))))) |
(+.f64 y (-.f64 x (fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) z))) |
(+ x (+ y (+ (* -1 z) (* -1 (* (log y) (+ 1/2 y)))))) |
(+.f64 y (-.f64 x (fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) z))) |
(+ x (+ y (+ (* -1 z) (* -1 (* (log y) (+ 1/2 y)))))) |
(+.f64 y (-.f64 x (fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) z))) |
(* -1 z) |
(neg.f64 z) |
(* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z))) 1)) |
(fma.f64 z (+.f64 (/.f64 x z) (/.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) z)) (neg.f64 z)) |
(* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z))) 1)) |
(fma.f64 z (+.f64 (/.f64 x z) (/.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) z)) (neg.f64 z)) |
(* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z))) 1)) |
(fma.f64 z (+.f64 (/.f64 x z) (/.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) z)) (neg.f64 z)) |
(* -1 z) |
(neg.f64 z) |
(* -1 (* z (+ 1 (* -1 (/ (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z))))) |
(fma.f64 z (/.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) (+.f64 x y)) z) (neg.f64 z)) |
(* -1 (* z (+ 1 (* -1 (/ (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z))))) |
(fma.f64 z (/.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) (+.f64 x y)) z) (neg.f64 z)) |
(* -1 (* z (+ 1 (* -1 (/ (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z))))) |
(fma.f64 z (/.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) (+.f64 x y)) z) (neg.f64 z)) |
(/ 1 (- (+ x (* -1/2 (log y))) z)) |
(/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x) z)) |
(+ (* -1 (* y (+ (* -1 (/ (log y) (pow (- (+ x (* -1/2 (log y))) z) 2))) (/ 1 (pow (- (+ x (* -1/2 (log y))) z) 2))))) (/ 1 (- (+ x (* -1/2 (log y))) z))) |
(fma.f64 y (-.f64 (/.f64 (log.f64 y) (pow.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x) z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x) z) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x) z))) |
(+ (* y (- (/ (* y (* (+ 1 (* -1 (log y))) (+ (* -1 (/ (log y) (pow (- (+ x (* -1/2 (log y))) z) 2))) (/ 1 (pow (- (+ x (* -1/2 (log y))) z) 2))))) (- (+ x (* -1/2 (log y))) z)) (+ (* -1 (/ (log y) (pow (- (+ x (* -1/2 (log y))) z) 2))) (/ 1 (pow (- (+ x (* -1/2 (log y))) z) 2))))) (/ 1 (- (+ x (* -1/2 (log y))) z))) |
(fma.f64 y (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x) z) #s(literal 2 binary64))) (/.f64 (log.f64 y) (pow.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x) z) #s(literal 2 binary64))))) (/.f64 y (-.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x) z)) (-.f64 (/.f64 (log.f64 y) (pow.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x) z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x) z) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x) z))) |
(+ (* y (- (* y (- (* -1 (/ (* y (* (pow (+ 1 (* -1 (log y))) 2) (+ (* -1 (/ (log y) (pow (- (+ x (* -1/2 (log y))) z) 2))) (/ 1 (pow (- (+ x (* -1/2 (log y))) z) 2))))) (pow (- (+ x (* -1/2 (log y))) z) 2))) (* -1 (/ (* (+ 1 (* -1 (log y))) (+ (* -1 (/ (log y) (pow (- (+ x (* -1/2 (log y))) z) 2))) (/ 1 (pow (- (+ x (* -1/2 (log y))) z) 2)))) (- (+ x (* -1/2 (log y))) z))))) (+ (* -1 (/ (log y) (pow (- (+ x (* -1/2 (log y))) z) 2))) (/ 1 (pow (- (+ x (* -1/2 (log y))) z) 2))))) (/ 1 (- (+ x (* -1/2 (log y))) z))) |
(fma.f64 y (-.f64 (fma.f64 y (fma.f64 y (*.f64 (-.f64 (/.f64 (log.f64 y) (pow.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x) z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x) z) #s(literal 2 binary64)))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) #s(literal 2 binary64)) (pow.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x) z) #s(literal 2 binary64)))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x) z) #s(literal 2 binary64))) (/.f64 (log.f64 y) (pow.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x) z) #s(literal 2 binary64))))) (-.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x) z))) (/.f64 (log.f64 y) (pow.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x) z) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x) z) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x) z))) |
(/ 1 (* y (+ 1 (log (/ 1 y))))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 y) (neg.f64 y) y)) |
(/ (- (+ (/ 1 (+ 1 (log (/ 1 y)))) (/ z (* y (pow (+ 1 (log (/ 1 y))) 2)))) (+ (* 1/2 (/ (log (/ 1 y)) (* y (pow (+ 1 (log (/ 1 y))) 2)))) (/ x (* y (pow (+ 1 (log (/ 1 y))) 2))))) y) |
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(/ (- (+ (* -1 (/ (* (- (+ x (* 1/2 (log (/ 1 y)))) z) (- (/ z (pow (+ 1 (log (/ 1 y))) 2)) (+ (* 1/2 (/ (log (/ 1 y)) (pow (+ 1 (log (/ 1 y))) 2))) (/ x (pow (+ 1 (log (/ 1 y))) 2))))) (* (pow y 2) (+ 1 (log (/ 1 y)))))) (+ (/ 1 (+ 1 (log (/ 1 y)))) (/ z (* y (pow (+ 1 (log (/ 1 y))) 2))))) (+ (* 1/2 (/ (log (/ 1 y)) (* y (pow (+ 1 (log (/ 1 y))) 2)))) (/ x (* y (pow (+ 1 (log (/ 1 y))) 2))))) y) |
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(+.f64 x (*.f64 x (/.f64 (-.f64 y (fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) z)) x))) |
(* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x)))) |
(+.f64 x (*.f64 x (/.f64 (-.f64 y (fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) z)) x))) |
(* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x)))) |
(+.f64 x (*.f64 x (/.f64 (-.f64 y (fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) z)) x))) |
x |
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 y (fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) z)) x)) (neg.f64 x)) |
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 y (fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) z)) x)) (neg.f64 x)) |
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 y (fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) z)) x)) (neg.f64 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 x (fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) z))) |
(- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y)))) |
(+.f64 y (-.f64 x (fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) z))) |
(- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y)))) |
(+.f64 y (-.f64 x (fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) z))) |
(* y (- 1 (* -1 (log (/ 1 y))))) |
(fma.f64 (log.f64 y) (neg.f64 y) y) |
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y))))) |
(+.f64 y (*.f64 y (-.f64 (/.f64 x y) (+.f64 (log.f64 y) (+.f64 (/.f64 z y) (/.f64 (*.f64 (log.f64 y) #s(literal 1/2 binary64)) y)))))) |
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y))))) |
(+.f64 y (*.f64 y (-.f64 (/.f64 x y) (+.f64 (log.f64 y) (+.f64 (/.f64 z y) (/.f64 (*.f64 (log.f64 y) #s(literal 1/2 binary64)) y)))))) |
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y))))) |
(+.f64 y (*.f64 y (-.f64 (/.f64 x y) (+.f64 (log.f64 y) (+.f64 (/.f64 z y) (/.f64 (*.f64 (log.f64 y) #s(literal 1/2 binary64)) y)))))) |
(* y (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))) |
(fma.f64 y (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #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 y (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (-.f64 x z)) y) (+.f64 (-.f64 #s(literal 1 binary64) (log.f64 #s(literal -1 binary64))) (log.f64 (/.f64 #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 y (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (-.f64 x z)) y) (+.f64 (-.f64 #s(literal 1 binary64) (log.f64 #s(literal -1 binary64))) (log.f64 (/.f64 #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 y (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (-.f64 x z)) y) (+.f64 (-.f64 #s(literal 1 binary64) (log.f64 #s(literal -1 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) y))))) |
(- (+ x y) (* (log y) (+ 1/2 y))) |
(fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) (+.f64 x y)) |
(- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y))) |
(+.f64 y (-.f64 x (fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) z))) |
(- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y))) |
(+.f64 y (-.f64 x (fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) z))) |
(- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y))) |
(+.f64 y (-.f64 x (fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) z))) |
(* -1 z) |
(neg.f64 z) |
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z)))) |
(fma.f64 z (+.f64 (/.f64 x z) (/.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) z)) (neg.f64 z)) |
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z)))) |
(fma.f64 z (+.f64 (/.f64 x z) (/.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) z)) (neg.f64 z)) |
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z)))) |
(fma.f64 z (+.f64 (/.f64 x z) (/.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) z)) (neg.f64 z)) |
(* -1 z) |
(neg.f64 z) |
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z))))) |
(fma.f64 z (/.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) (+.f64 x y)) z) (neg.f64 z)) |
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z))))) |
(fma.f64 z (/.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) (+.f64 x y)) z) (neg.f64 z)) |
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z))))) |
(fma.f64 z (/.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) (+.f64 x y)) z) (neg.f64 z)) |
(* -1/4 (log y)) |
(*.f64 (log.f64 y) #s(literal -1/4 binary64)) |
(+ (* -1/4 (log y)) (* (pow y 2) (log y))) |
(*.f64 (log.f64 y) (fma.f64 y y #s(literal -1/4 binary64))) |
(+ (* -1/4 (log y)) (* (pow y 2) (log y))) |
(*.f64 (log.f64 y) (fma.f64 y y #s(literal -1/4 binary64))) |
(+ (* -1/4 (log y)) (* (pow y 2) (log y))) |
(*.f64 (log.f64 y) (fma.f64 y y #s(literal -1/4 binary64))) |
(* -1 (* (pow y 2) (log (/ 1 y)))) |
(*.f64 (log.f64 y) (*.f64 y y)) |
(* (pow y 2) (+ (* -1 (log (/ 1 y))) (* 1/4 (/ (log (/ 1 y)) (pow y 2))))) |
(*.f64 (*.f64 y y) (+.f64 (log.f64 y) (/.f64 (*.f64 (log.f64 y) #s(literal -1/4 binary64)) (*.f64 y y)))) |
(* (pow y 2) (+ (* -1 (log (/ 1 y))) (* 1/4 (/ (log (/ 1 y)) (pow y 2))))) |
(*.f64 (*.f64 y y) (+.f64 (log.f64 y) (/.f64 (*.f64 (log.f64 y) #s(literal -1/4 binary64)) (*.f64 y y)))) |
(* (pow y 2) (+ (* -1 (log (/ 1 y))) (* 1/4 (/ (log (/ 1 y)) (pow y 2))))) |
(*.f64 (*.f64 y y) (+.f64 (log.f64 y) (/.f64 (*.f64 (log.f64 y) #s(literal -1/4 binary64)) (*.f64 y y)))) |
(* (pow y 2) (+ (log -1) (* -1 (log (/ -1 y))))) |
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (*.f64 y y)) |
(* (pow y 2) (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1/4 (/ (+ (log -1) (* -1 (log (/ -1 y)))) (pow y 2)))))) |
(*.f64 (*.f64 y y) (fma.f64 #s(literal -1/4 binary64) (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (*.f64 y y)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))))) |
(* (pow y 2) (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1/4 (/ (+ (log -1) (* -1 (log (/ -1 y)))) (pow y 2)))))) |
(*.f64 (*.f64 y y) (fma.f64 #s(literal -1/4 binary64) (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (*.f64 y y)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))))) |
(* (pow y 2) (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1/4 (/ (+ (log -1) (* -1 (log (/ -1 y)))) (pow y 2)))))) |
(*.f64 (*.f64 y y) (fma.f64 #s(literal -1/4 binary64) (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (*.f64 y y)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) 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) |
(pow z 2) |
(*.f64 z z) |
(pow z 2) |
(*.f64 z z) |
(pow z 2) |
(*.f64 z z) |
(pow z 2) |
(*.f64 z z) |
(pow z 2) |
(*.f64 z z) |
(pow z 2) |
(*.f64 z z) |
(pow z 2) |
(*.f64 z z) |
(pow z 2) |
(*.f64 z z) |
-2 |
#s(literal -2 binary64) |
(- (* -4 y) 2) |
(fma.f64 y #s(literal -4 binary64) #s(literal -2 binary64)) |
(- (* y (- (* -8 y) 4)) 2) |
(fma.f64 y (fma.f64 y #s(literal -8 binary64) #s(literal -4 binary64)) #s(literal -2 binary64)) |
(- (* y (- (* y (- (* -16 y) 8)) 4)) 2) |
(fma.f64 y (fma.f64 y (fma.f64 y #s(literal -16 binary64) #s(literal -8 binary64)) #s(literal -4 binary64)) #s(literal -2 binary64)) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ (+ 1 (* 1/2 (/ 1 y))) y) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y)) y) |
(/ (+ 1 (+ (/ 1/4 (pow y 2)) (* 1/2 (/ 1 y)))) y) |
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/4 binary64) (*.f64 y y))) y) |
(/ (+ 1 (+ (/ 1/4 (pow y 2)) (+ (* 1/2 (/ 1 y)) (* 1/8 (/ 1 (pow y 3)))))) y) |
(/.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/4 binary64) (*.f64 y y))) (/.f64 #s(literal 1/8 binary64) (*.f64 y (*.f64 y y)))) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ (+ 1 (* 1/2 (/ 1 y))) y) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y)) y) |
(* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/4 (/ 1 y))) y)) 1) y)) |
(neg.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) y)) y)) y)) |
(* -1 (/ (- (* -1 (/ (+ 1/2 (+ (/ 1/8 (pow y 2)) (* 1/4 (/ 1 y)))) y)) 1) y)) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) y) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 y y)))) y)) (neg.f64 y)) |
| 1× | batch-egg-rewrite |
| 3 714× | lower-fma.f32 |
| 3 708× | lower-fma.f64 |
| 3 292× | lower-/.f32 |
| 3 284× | lower-/.f64 |
| 2 788× | lower-*.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 235 |
| 0 | 70 | 218 |
| 1 | 385 | 177 |
| 2 | 4070 | 177 |
| 0 | 8543 | 177 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x) (-.f64 y z)))) |
(/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x) (-.f64 y z))) |
(+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x) (-.f64 y z)) |
(fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z)) |
(+.f64 #s(literal 0 binary64) z) |
(-.f64 #s(literal 0 binary64) (*.f64 z z)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z))) |
#s(approx (- (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (+ y -1/2))) y) z) (-.f64 y (*.f64 y (log.f64 y)))) |
(-.f64 y (*.f64 y (log.f64 y))) |
(*.f64 y (log.f64 y)) |
(log.f64 y) |
(-.f64 #s(approx (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (+ y -1/2))) y) (-.f64 y (*.f64 y (log.f64 y)))) z) |
#s(approx (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (+ y -1/2))) y) (-.f64 y (*.f64 y (log.f64 y)))) |
(fma.f64 (*.f64 (log.f64 y) (fma.f64 y y #s(literal -1/4 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1/2 binary64)))) (+.f64 x y)) |
(neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1/2 binary64)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 (*.f64 (log.f64 y) (fma.f64 y y #s(literal -1/4 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1/2 binary64)))) (+.f64 x y))) |
(*.f64 (log.f64 y) (fma.f64 y y #s(literal -1/4 binary64))) |
(*.f64 z z) |
(/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1/2 binary64))) |
| Outputs |
|---|
(+.f64 y (+.f64 (neg.f64 z) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x))) |
(+.f64 y (+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x) (neg.f64 z))) |
(+.f64 y (-.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x) z)) |
(+.f64 x (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) (-.f64 y z))) |
(+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x) (-.f64 y z)) |
(+.f64 (-.f64 y z) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)) |
(+.f64 (+.f64 y (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)) (neg.f64 z)) |
(+.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) (+.f64 x (-.f64 y z))) |
(+.f64 (neg.f64 z) (+.f64 y (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x))) |
(+.f64 (+.f64 x (-.f64 y z)) (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y))) |
(+.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)) (*.f64 #s(literal 1 binary64) (-.f64 y z))) |
(+.f64 (*.f64 #s(literal 1 binary64) (-.f64 y z)) (*.f64 #s(literal 1 binary64) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x))) |
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y))) (*.f64 #s(literal 1 binary64) (+.f64 x (-.f64 y z)))) |
(+.f64 (*.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x) #s(literal 1 binary64)) (*.f64 (-.f64 y z) #s(literal 1 binary64))) |
(+.f64 (*.f64 (-.f64 y z) #s(literal 1 binary64)) (*.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x) #s(literal 1 binary64))) |
(+.f64 (*.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) #s(literal 1 binary64)) (*.f64 (+.f64 x (-.f64 y z)) #s(literal 1 binary64))) |
(+.f64 (+.f64 (-.f64 y z) (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y))) x) |
(exp.f64 (log.f64 (+.f64 y (-.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x) z)))) |
(exp.f64 (*.f64 (log.f64 (+.f64 y (-.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x) z))) #s(literal 1 binary64))) |
(-.f64 y (-.f64 z (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x))) |
(-.f64 x (-.f64 (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))) (-.f64 y z))) |
(-.f64 x (-.f64 (fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) (neg.f64 y)) (neg.f64 z))) |
(-.f64 x (+.f64 (fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) (neg.f64 y)) z)) |
(-.f64 (+.f64 y (-.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x) z)) #s(literal 0 binary64)) |
(-.f64 (+.f64 y (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)) z) |
(-.f64 (/.f64 (pow.f64 (+.f64 y (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)) #s(literal 3 binary64)) (fma.f64 z (+.f64 y (+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x) z)) (pow.f64 (+.f64 y (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)) #s(literal 2 binary64)))) (/.f64 (*.f64 z (*.f64 z z)) (fma.f64 z (+.f64 y (+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x) z)) (pow.f64 (+.f64 y (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)) #s(literal 2 binary64))))) |
(-.f64 (/.f64 (pow.f64 (+.f64 y (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)) #s(literal 2 binary64)) (+.f64 y (+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x) z))) (/.f64 (*.f64 z z) (+.f64 y (+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x) z)))) |
(-.f64 (/.f64 (+.f64 y (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)) #s(literal 1 binary64)) (/.f64 z #s(literal 1 binary64))) |
(-.f64 (/.f64 (pow.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x) #s(literal 2 binary64)) (+.f64 (-.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x) y) z)) (/.f64 (*.f64 (-.f64 y z) (-.f64 y z)) (+.f64 (-.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x) y) z))) |
(-.f64 (-.f64 (+.f64 y (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)) #s(literal 0 binary64)) z) |
(fma.f64 #s(literal 1 binary64) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x) (*.f64 #s(literal 1 binary64) (-.f64 y z))) |
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(fma.f64 #s(literal 1 binary64) (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) (*.f64 #s(literal 1 binary64) (+.f64 x (-.f64 y z)))) |
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(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 y y) (*.f64 y y) #s(literal -1/16 binary64)) (log.f64 y))) (neg.f64 (fma.f64 y y #s(literal 1/4 binary64)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y (*.f64 y (log.f64 y))) #s(literal 3 binary64)) (pow.f64 (*.f64 (log.f64 y) #s(literal -1/4 binary64)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 y (*.f64 y (log.f64 y))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (log.f64 y) #s(literal -1/4 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 y (*.f64 y (log.f64 y))) (*.f64 (log.f64 y) #s(literal -1/4 binary64))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y (*.f64 y (log.f64 y))) #s(literal 2 binary64)) (pow.f64 (*.f64 (log.f64 y) #s(literal -1/4 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 y (*.f64 y (log.f64 y))) (*.f64 (log.f64 y) #s(literal -1/4 binary64))))) |
(/.f64 (neg.f64 (*.f64 (log.f64 y) (fma.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))) #s(literal -1/64 binary64)))) (neg.f64 (-.f64 (fma.f64 (*.f64 y y) (*.f64 y y) #s(literal 1/16 binary64)) (*.f64 (*.f64 y y) #s(literal -1/4 binary64))))) |
(/.f64 (neg.f64 (*.f64 (log.f64 y) (fma.f64 (*.f64 y y) (*.f64 y y) #s(literal -1/16 binary64)))) (neg.f64 (fma.f64 y y #s(literal 1/4 binary64)))) |
(*.f64 (log.f64 y) (fma.f64 y y #s(literal -1/4 binary64))) |
(*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) |
(+.f64 #s(literal 0 binary64) (*.f64 z z)) |
(+.f64 (*.f64 z z) #s(literal 0 binary64)) |
(exp.f64 (log.f64 (*.f64 z z))) |
(-.f64 #s(literal 0 binary64) (*.f64 z (neg.f64 z))) |
(-.f64 (*.f64 z z) #s(literal 0 binary64)) |
(fma.f64 z z #s(literal 0 binary64)) |
(fma.f64 z (-.f64 z #s(literal 0 binary64)) #s(literal 0 binary64)) |
(fma.f64 (*.f64 z z) (pow.f64 (/.f64 z z) #s(literal 2 binary64)) #s(literal 0 binary64)) |
(fma.f64 #s(literal -1 binary64) (*.f64 z (neg.f64 z)) #s(literal 0 binary64)) |
(fma.f64 (*.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z)))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal 2 binary64)) #s(literal 0 binary64)) |
(fma.f64 (*.f64 z (*.f64 z (*.f64 z z))) (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) #s(literal 0 binary64)) |
(fma.f64 (*.f64 z (*.f64 z (*.f64 z z))) (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 2 binary64)) #s(literal 0 binary64)) |
(fma.f64 (neg.f64 z) (neg.f64 z) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) (*.f64 z (*.f64 z (*.f64 z z))) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (/.f64 (*.f64 z z) (*.f64 z (neg.f64 z))) #s(literal 2 binary64)) (*.f64 z z) #s(literal 0 binary64)) |
(fma.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 z)) #s(literal 0 binary64)) |
(neg.f64 (*.f64 z (neg.f64 z))) |
(/.f64 (*.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z)))) (*.f64 z (*.f64 z (*.f64 z z)))) |
(/.f64 (*.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z)))) (neg.f64 (neg.f64 (*.f64 z (*.f64 z (*.f64 z z)))))) |
(/.f64 (*.f64 z (*.f64 z (*.f64 z z))) (*.f64 z z)) |
(/.f64 (neg.f64 (*.f64 z (*.f64 z (*.f64 z z)))) (*.f64 z (neg.f64 z))) |
(/.f64 (neg.f64 (*.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))))) (neg.f64 (*.f64 z (*.f64 z (*.f64 z z))))) |
(/.f64 (*.f64 (*.f64 z (neg.f64 z)) (*.f64 z (*.f64 z z))) (neg.f64 (*.f64 z (*.f64 z z)))) |
(/.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (neg.f64 z))) (neg.f64 (*.f64 z (*.f64 z z)))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 z (*.f64 z (*.f64 z z))))) (*.f64 z z)) |
(/.f64 (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 z (*.f64 z (*.f64 z z))) #s(literal 0 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z)))) #s(literal 0 binary64)) (*.f64 z (*.f64 z (*.f64 z z)))) |
(/.f64 (-.f64 (*.f64 z (*.f64 z (*.f64 z z))) #s(literal 0 binary64)) (*.f64 z z)) |
(/.f64 (*.f64 z (*.f64 z (neg.f64 z))) (neg.f64 z)) |
(/.f64 (*.f64 (*.f64 z (neg.f64 z)) z) (neg.f64 z)) |
(/.f64 (neg.f64 (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z)))))) (neg.f64 (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 z (*.f64 z (*.f64 z z))) #s(literal 0 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (*.f64 z (*.f64 z (*.f64 z z)))))) (*.f64 z (neg.f64 z))) |
(/.f64 (neg.f64 (-.f64 (*.f64 z (*.f64 z (*.f64 z z))) #s(literal 0 binary64))) (*.f64 z (neg.f64 z))) |
(/.f64 (neg.f64 (*.f64 (*.f64 z (neg.f64 z)) (*.f64 z (*.f64 z z)))) (*.f64 z (*.f64 z z))) |
(/.f64 (neg.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (neg.f64 z)))) (*.f64 z (*.f64 z z))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z)))) #s(literal 0 binary64))) (neg.f64 (*.f64 z (*.f64 z (*.f64 z z))))) |
(/.f64 (neg.f64 (*.f64 z (*.f64 z (neg.f64 z)))) z) |
(/.f64 (neg.f64 (*.f64 (*.f64 z (neg.f64 z)) z)) z) |
(pow.f64 z #s(literal 2 binary64)) |
(pow.f64 (*.f64 z z) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -2 binary64)) |
(pow.f64 (neg.f64 z) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal -1 binary64) z)) #s(literal -1 binary64)) |
(pow.f64 (exp.f64 (log.f64 z)) #s(literal 2 binary64)) |
(*.f64 z z) |
(*.f64 z (-.f64 z #s(literal 0 binary64))) |
(*.f64 (*.f64 z z) (pow.f64 (/.f64 z z) #s(literal 2 binary64))) |
(*.f64 #s(literal -1 binary64) (*.f64 z (neg.f64 z))) |
(*.f64 (*.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z)))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal 2 binary64))) |
(*.f64 (*.f64 z (*.f64 z (*.f64 z z))) (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 2 binary64))) |
(*.f64 (*.f64 z (*.f64 z (*.f64 z z))) (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 2 binary64))) |
(*.f64 (neg.f64 z) (neg.f64 z)) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) (*.f64 z (*.f64 z (*.f64 z z)))) |
(*.f64 (pow.f64 (/.f64 (*.f64 z z) (*.f64 z (neg.f64 z))) #s(literal 2 binary64)) (*.f64 z z)) |
(*.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 z))) |
(exp.f64 (*.f64 (log.f64 (+.f64 y #s(literal -1/2 binary64))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (+.f64 y #s(literal -1/2 binary64)))) |
(/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1/2 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal 1/2 binary64) (neg.f64 y)))) |
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) (neg.f64 y))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (+.f64 #s(literal 1/2 binary64) (neg.f64 y))))) |
(pow.f64 (+.f64 y #s(literal -1/2 binary64)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (+.f64 y #s(literal -1/2 binary64)) (+.f64 y #s(literal -1/2 binary64))) #s(literal -1/2 binary64)) |
(pow.f64 (neg.f64 (+.f64 #s(literal 1/2 binary64) (neg.f64 y))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (+.f64 y #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 (log.f64 (+.f64 y #s(literal -1/2 binary64)))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1/2 binary64))) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 y #s(literal -1/2 binary64)))) |
(*.f64 (pow.f64 (+.f64 y #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (+.f64 y #s(literal -1/2 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y y) #s(literal -1/8 binary64))) (-.f64 (fma.f64 y y #s(literal 1/4 binary64)) (*.f64 y #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y y) #s(literal -1/8 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y y #s(literal 1/4 binary64)) (*.f64 y #s(literal -1/2 binary64)))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -1/4 binary64))) (+.f64 y #s(literal 1/2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -1/4 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64))) #s(literal -1 binary64))) |
Compiled 32 254 to 2 570 computations (92% saved)
35 alts after pruning (29 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 313 | 25 | 1 338 |
| Fresh | 7 | 4 | 11 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 4 | 4 |
| Total | 1 323 | 35 | 1 358 |
| Status | Accuracy | Program |
|---|---|---|
| 41.8% | (pow.f64 (pow.f64 (+.f64 y (-.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x) z)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) | |
| 88.0% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (+ (* (log y) (- -1/2 y)) x) (neg.f64 (*.f64 x (fma.f64 (+.f64 y #s(literal 1/2 binary64)) (/.f64 (log.f64 y) x) #s(literal -1 binary64))))) (-.f64 y z)))) | |
| ▶ | 31.4% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (+ (* (log y) (- -1/2 y)) x) (- y z)) (fma.f64 (log.f64 y) (neg.f64 y) y)))) |
| 30.7% | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (+ (* (log y) (- -1/2 y)) x) (- y z))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (log.f64 y))) (-.f64 (/.f64 z (*.f64 y (pow.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) #s(literal 2 binary64)))) (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 y)) (*.f64 y (pow.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) #s(literal 2 binary64)))) (/.f64 x (*.f64 y (pow.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) #s(literal 2 binary64))))))) y))) | |
| 29.5% | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (+ (* (log y) (- -1/2 y)) x) (- y z))) (/.f64 #s(literal 1 binary64) x))) | |
| 30.0% | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (+ (* (log y) (- -1/2 y)) x) (- y z))) (/.f64 #s(literal -1 binary64) z))) | |
| ✓ | 99.8% | (-.f64 (+.f64 (-.f64 x (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64))))) y) z) |
| 49.0% | (-.f64 #s(approx (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (+ y -1/2))) y) (fma.f64 (fma.f64 y (neg.f64 y) #s(literal 1/4 binary64)) (/.f64 (log.f64 y) (+.f64 y #s(literal -1/2 binary64))) y)) z) | |
| 59.5% | (-.f64 #s(approx (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (+ y -1/2))) y) (fma.f64 (neg.f64 (log.f64 y)) y y)) z) | |
| ✓ | 59.4% | (-.f64 #s(approx (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (+ y -1/2))) y) (-.f64 y (*.f64 y (log.f64 y)))) z) |
| ✓ | 70.1% | (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 (log.f64 y) #s(literal -1/2 binary64) x)) z) |
| 41.6% | (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) #s(approx (+ (* (log y) -1/2) x) (*.f64 (log.f64 y) #s(literal -1/2 binary64)))) z) | |
| ▶ | 99.6% | (*.f64 (+.f64 x (+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) z)) (*.f64 (+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x) (-.f64 y z)) (/.f64 #s(literal 1 binary64) (+.f64 x (+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) z))))) |
| 31.4% | #s(approx (/ 1 (/ 1 (+ (+ (* (log y) (- -1/2 y)) x) (- y z)))) (fma.f64 (log.f64 y) (neg.f64 y) y)) | |
| 78.5% | #s(approx (/ 1 (/ 1 (+ (+ (* (log y) (- -1/2 y)) x) (- y z)))) (fma.f64 z (/.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) (+.f64 x y)) z) (neg.f64 z))) | |
| ✓ | 31.4% | #s(approx (- (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (+ y -1/2))) y) z) (-.f64 y (*.f64 y (log.f64 y)))) |
| 29.6% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 (*.f64 (log.f64 y) (fma.f64 y y #s(literal -1/4 binary64))) #s(approx (neg (/ 1 (+ y -1/2))) (/.f64 #s(literal -1 binary64) y)) (+.f64 x y))) | |
| 3.6% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (*.f64 (neg.f64 z) (*.f64 z (*.f64 z z))) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z))) | |
| 2.9% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (neg.f64 z))) (neg.f64 (*.f64 z (*.f64 z z))))) (+.f64 #s(literal 0 binary64) z))) | |
| 6.1% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (fma.f64 (*.f64 z (*.f64 z z)) (/.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal 0 binary64)))) | |
| 2.9% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 (neg.f64 (*.f64 z (*.f64 z (*.f64 z z)))) (neg.f64 (*.f64 z (*.f64 z z)))))) | |
| ▶ | 10.4% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 z z)))) |
| 6.0% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (*.f64 (*.f64 z (*.f64 z z)) (/.f64 #s(literal 1 binary64) (*.f64 z z))))) | |
| 2.1% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z)))) (neg.f64 (*.f64 z (*.f64 z (*.f64 z (*.f64 z z))))))) | |
| ▶ | 2.3% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))))) (/.f64 #s(literal 1 binary64) z)) (*.f64 z (*.f64 z (*.f64 z z))))) |
| 6.3% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 z (*.f64 z z)) (*.f64 z (neg.f64 z)))) | |
| ▶ | 12.6% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 z (neg.f64 z)) z)) |
| 2.9% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (neg.f64 (*.f64 z (*.f64 z (*.f64 z z)))) (*.f64 z (*.f64 z z)))) | |
| ✓ | 70.6% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+.f64 y (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x))) |
| 6.0% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (/.f64 (*.f64 z (neg.f64 z)) (*.f64 z (*.f64 z z))) (*.f64 z z))) | |
| 12.5% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (*.f64 z z) (/.f64 #s(literal -1 binary64) z))) | |
| ✓ | 30.0% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z)) |
| 41.5% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (+ (* (* (log y) (+ (* y y) -1/4)) (neg (/ 1 (+ y -1/2)))) (+ x y)) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x))) | |
| 22.7% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (+ (* (* (log y) (+ (* y y) -1/4)) (neg (/ 1 (+ y -1/2)))) (+ x y)) (-.f64 y (*.f64 (log.f64 y) (/.f64 (fma.f64 y y #s(literal -1/4 binary64)) (+.f64 #s(literal -1/2 binary64) y)))))) | |
| 42.9% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (+ y (+ (* (log y) (- -1/2 y)) x)) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y))) |
Compiled 1 171 to 632 computations (46% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (fma.f64 (log.f64 y) (neg.f64 y) y) |
| ✓ | cost-diff | 0 | #s(approx (+ (+ (* (log y) (- -1/2 y)) x) (- y z)) (fma.f64 (log.f64 y) (neg.f64 y) y)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) #s(approx (+ (+ (* (log y) (- -1/2 y)) x) (- y z)) (fma.f64 (log.f64 y) (neg.f64 y) y))) |
| ✓ | cost-diff | 1408 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (+ (* (log y) (- -1/2 y)) x) (- y z)) (fma.f64 (log.f64 y) (neg.f64 y) y)))) |
| ✓ | cost-diff | 0 | (neg.f64 (*.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))))) |
| ✓ | cost-diff | 0 | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))))) (/.f64 #s(literal 1 binary64) z)) (*.f64 z (*.f64 z (*.f64 z z))))) |
| ✓ | cost-diff | 1344 | (*.f64 (neg.f64 (*.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))))) (/.f64 #s(literal 1 binary64) z)) |
| ✓ | cost-diff | 2944 | (/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))))) (/.f64 #s(literal 1 binary64) z)) (*.f64 z (*.f64 z (*.f64 z z)))) |
| ✓ | cost-diff | 0 | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 z z)))) |
| ✓ | cost-diff | 64 | (-.f64 #s(literal 0 binary64) (*.f64 z z)) |
| ✓ | cost-diff | 1024 | (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 z z))) |
| ✓ | cost-diff | 1344 | (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 z z)) |
| ✓ | cost-diff | 0 | (neg.f64 z) |
| ✓ | cost-diff | 0 | (*.f64 z (neg.f64 z)) |
| ✓ | cost-diff | 0 | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 z (neg.f64 z)) z)) |
| ✓ | cost-diff | 1024 | (/.f64 (*.f64 z (neg.f64 z)) z) |
| ✓ | cost-diff | 0 | (+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) z) |
| ✓ | cost-diff | 0 | (+.f64 x (+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) z)) |
| ✓ | cost-diff | 320 | (*.f64 (+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x) (-.f64 y z)) (/.f64 #s(literal 1 binary64) (+.f64 x (+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) z)))) |
| ✓ | cost-diff | 15744 | (*.f64 (+.f64 x (+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) z)) (*.f64 (+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x) (-.f64 y z)) (/.f64 #s(literal 1 binary64) (+.f64 x (+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) z))))) |
| 8 820× | lower-fma.f32 |
| 8 814× | lower-fma.f64 |
| 2 132× | lower-*.f32 |
| 2 114× | lower-*.f64 |
| 1 998× | lower-+.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 51 | 417 |
| 0 | 81 | 370 |
| 1 | 173 | 331 |
| 2 | 564 | 267 |
| 3 | 3181 | 267 |
| 4 | 6904 | 267 |
| 0 | 8282 | 267 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (+.f64 x (+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) z)) (*.f64 (+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x) (-.f64 y z)) (/.f64 #s(literal 1 binary64) (+.f64 x (+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) z))))) |
(+.f64 x (+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) z)) |
x |
(+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) z) |
(fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) |
(log.f64 y) |
y |
(-.f64 #s(literal -1/2 binary64) y) |
#s(literal -1/2 binary64) |
z |
(*.f64 (+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x) (-.f64 y z)) (/.f64 #s(literal 1 binary64) (+.f64 x (+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) z)))) |
(+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x) (-.f64 y z)) |
(fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x) |
(-.f64 y z) |
(/.f64 #s(literal 1 binary64) (+.f64 x (+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) z))) |
#s(literal 1 binary64) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 z (neg.f64 z)) z)) |
(/.f64 (*.f64 z (neg.f64 z)) z) |
(*.f64 z (neg.f64 z)) |
z |
(neg.f64 z) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 z z)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 z z))) |
(-.f64 #s(literal 0 binary64) (*.f64 z z)) |
#s(literal 0 binary64) |
(*.f64 z z) |
z |
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 z z)) |
(/.f64 #s(literal 1 binary64) z) |
#s(literal 1 binary64) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))))) (/.f64 #s(literal 1 binary64) z)) (*.f64 z (*.f64 z (*.f64 z z))))) |
(/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))))) (/.f64 #s(literal 1 binary64) z)) (*.f64 z (*.f64 z (*.f64 z z)))) |
(*.f64 (neg.f64 (*.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))))) (/.f64 #s(literal 1 binary64) z)) |
(neg.f64 (*.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))))) |
(*.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z)))) |
(*.f64 z z) |
z |
(*.f64 z (*.f64 z (*.f64 z z))) |
(*.f64 z (*.f64 z z)) |
(/.f64 #s(literal 1 binary64) z) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (+ (* (log y) (- -1/2 y)) x) (- y z)) (fma.f64 (log.f64 y) (neg.f64 y) y)))) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) #s(approx (+ (+ (* (log y) (- -1/2 y)) x) (- y z)) (fma.f64 (log.f64 y) (neg.f64 y) y))) |
#s(approx (+ (+ (* (log y) (- -1/2 y)) x) (- y z)) (fma.f64 (log.f64 y) (neg.f64 y) y)) |
(fma.f64 (log.f64 y) (neg.f64 y) y) |
(log.f64 y) |
y |
(neg.f64 y) |
| Outputs |
|---|
(*.f64 (+.f64 x (+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) z)) (*.f64 (+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x) (-.f64 y z)) (/.f64 #s(literal 1 binary64) (+.f64 x (+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) z))))) |
(+.f64 x (-.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) z)) |
(+.f64 x (+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) z)) |
x |
(+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) z) |
(fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) |
(log.f64 y) |
y |
(-.f64 #s(literal -1/2 binary64) y) |
#s(literal -1/2 binary64) |
z |
(*.f64 (+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x) (-.f64 y z)) (/.f64 #s(literal 1 binary64) (+.f64 x (+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) z)))) |
(/.f64 (+.f64 x (-.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) z)) (+.f64 x (+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) z))) |
(+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x) (-.f64 y z)) |
(+.f64 x (-.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) z)) |
(fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x) |
(-.f64 y z) |
(/.f64 #s(literal 1 binary64) (+.f64 x (+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) z))) |
#s(literal 1 binary64) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 z (neg.f64 z)) z)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z)) |
(/.f64 (*.f64 z (neg.f64 z)) z) |
(neg.f64 z) |
(*.f64 z (neg.f64 z)) |
z |
(neg.f64 z) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 z z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 z z))) |
(neg.f64 z) |
(-.f64 #s(literal 0 binary64) (*.f64 z z)) |
(*.f64 z (neg.f64 z)) |
#s(literal 0 binary64) |
(*.f64 z z) |
z |
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 z z)) |
z |
(/.f64 #s(literal 1 binary64) z) |
#s(literal 1 binary64) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))))) (/.f64 #s(literal 1 binary64) z)) (*.f64 z (*.f64 z (*.f64 z z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z)) |
(/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))))) (/.f64 #s(literal 1 binary64) z)) (*.f64 z (*.f64 z (*.f64 z z)))) |
(neg.f64 z) |
(*.f64 (neg.f64 (*.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))))) (/.f64 #s(literal 1 binary64) z)) |
(neg.f64 (*.f64 (*.f64 z z) (*.f64 z (*.f64 z z)))) |
(neg.f64 (*.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))))) |
(neg.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)))) |
(*.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z)))) |
(*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z))) |
(*.f64 z z) |
z |
(*.f64 z (*.f64 z (*.f64 z z))) |
(*.f64 z (*.f64 z z)) |
(/.f64 #s(literal 1 binary64) z) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (+ (* (log y) (- -1/2 y)) x) (- y z)) (fma.f64 (log.f64 y) (neg.f64 y) y)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y (*.f64 y (log.f64 y)))) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) #s(approx (+ (+ (* (log y) (- -1/2 y)) x) (- y z)) (fma.f64 (log.f64 y) (neg.f64 y) y))) |
(/.f64 #s(literal 1 binary64) #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y (*.f64 y (log.f64 y))))) |
#s(approx (+ (+ (* (log y) (- -1/2 y)) x) (- y z)) (fma.f64 (log.f64 y) (neg.f64 y) y)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y (*.f64 y (log.f64 y)))) |
(fma.f64 (log.f64 y) (neg.f64 y) y) |
(-.f64 y (*.f64 y (log.f64 y))) |
(log.f64 y) |
y |
(neg.f64 y) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.8% | (/.f64 #s(literal 1 binary64) #s(approx (+ (+ (* (log y) (- -1/2 y)) x) (- y z)) (fma.f64 (log.f64 y) (neg.f64 y) y))) |
| ✓ | accuracy | 99.7% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (+ (* (log y) (- -1/2 y)) x) (- y z)) (fma.f64 (log.f64 y) (neg.f64 y) y)))) |
| ✓ | accuracy | 99.6% | (fma.f64 (log.f64 y) (neg.f64 y) y) |
| ✓ | accuracy | 31.5% | #s(approx (+ (+ (* (log y) (- -1/2 y)) x) (- y z)) (fma.f64 (log.f64 y) (neg.f64 y) y)) |
| ✓ | accuracy | 99.9% | (*.f64 z (*.f64 z z)) |
| ✓ | accuracy | 97.9% | (*.f64 (neg.f64 (*.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))))) (/.f64 #s(literal 1 binary64) z)) |
| ✓ | accuracy | 30.0% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))))) (/.f64 #s(literal 1 binary64) z)) (*.f64 z (*.f64 z (*.f64 z z))))) |
| ✓ | accuracy | 19.0% | (/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))))) (/.f64 #s(literal 1 binary64) z)) (*.f64 z (*.f64 z (*.f64 z z)))) |
| ✓ | accuracy | 100.0% | (*.f64 z z) |
| ✓ | accuracy | 53.5% | (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 z z))) |
| ✓ | accuracy | 53.4% | (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 z z)) |
| ✓ | accuracy | 30.0% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 z z)))) |
| ✓ | accuracy | 100.0% | (*.f64 z (neg.f64 z)) |
| ✓ | accuracy | 100.0% | (neg.f64 z) |
| ✓ | accuracy | 53.5% | (/.f64 (*.f64 z (neg.f64 z)) z) |
| ✓ | accuracy | 30.0% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 z (neg.f64 z)) z)) |
| ✓ | accuracy | 99.8% | (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x) |
| ✓ | accuracy | 99.8% | (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) |
| ✓ | accuracy | 99.8% | (/.f64 #s(literal 1 binary64) (+.f64 x (+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) z))) |
| ✓ | accuracy | 99.7% | (*.f64 (+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x) (-.f64 y z)) (/.f64 #s(literal 1 binary64) (+.f64 x (+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) z)))) |
| 78.0ms | 255× | 0 | valid |
| 1.0ms | 1× | 1 | valid |
Compiled 367 to 45 computations (87.7% saved)
ival-div: 17.0ms (29.9% of total)ival-mult: 17.0ms (29.9% of total)ival-add: 8.0ms (14.1% of total)ival-sub: 6.0ms (10.6% of total)ival-log: 4.0ms (7% of total)ival-neg: 4.0ms (7% of total)exact: 1.0ms (1.8% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (*.f64 (+.f64 x (+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) z)) (*.f64 (+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x) (-.f64 y z)) (/.f64 #s(literal 1 binary64) (+.f64 x (+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) z)))))> |
#<alt (*.f64 (+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x) (-.f64 y z)) (/.f64 #s(literal 1 binary64) (+.f64 x (+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) z))))> |
#<alt (+.f64 x (+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) z))> |
#<alt (+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) z)> |
#<alt (/.f64 (*.f64 z (neg.f64 z)) z)> |
#<alt #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 z (neg.f64 z)) z))> |
#<alt (*.f64 z (neg.f64 z))> |
#<alt (neg.f64 z)> |
#<alt (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 z z))> |
#<alt (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 z z)))> |
#<alt (-.f64 #s(literal 0 binary64) (*.f64 z z))> |
#<alt #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 z z))))> |
#<alt (/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))))) (/.f64 #s(literal 1 binary64) z)) (*.f64 z (*.f64 z (*.f64 z z))))> |
#<alt (*.f64 (neg.f64 (*.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))))) (/.f64 #s(literal 1 binary64) z))> |
#<alt #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))))) (/.f64 #s(literal 1 binary64) z)) (*.f64 z (*.f64 z (*.f64 z z)))))> |
#<alt (neg.f64 (*.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z)))))> |
#<alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (+ (* (log y) (- -1/2 y)) x) (- y z)) (fma.f64 (log.f64 y) (neg.f64 y) y))))> |
#<alt (/.f64 #s(literal 1 binary64) #s(approx (+ (+ (* (log y) (- -1/2 y)) x) (- y z)) (fma.f64 (log.f64 y) (neg.f64 y) y)))> |
#<alt #s(approx (+ (+ (* (log y) (- -1/2 y)) x) (- y z)) (fma.f64 (log.f64 y) (neg.f64 y) y))> |
#<alt (fma.f64 (log.f64 y) (neg.f64 y) y)> |
#<alt (/.f64 #s(literal 1 binary64) (+.f64 x (+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) z)))> |
#<alt (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y)> |
#<alt (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)> |
#<alt (*.f64 z z)> |
#<alt (*.f64 z (*.f64 z z))> |
| Outputs |
|---|
#<alt (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z)> |
#<alt (- (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z)> |
#<alt (- (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z)> |
#<alt (- (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z)> |
#<alt x> |
#<alt (* x (- (+ 1 (+ (* -1 (/ (* (log y) (+ 1/2 y)) x)) (/ y x))) (/ z x)))> |
#<alt (* x (- (+ 1 (+ (* -1 (/ (* (log y) (+ 1/2 y)) x)) (/ y x))) (/ z x)))> |
#<alt (* x (- (+ 1 (+ (* -1 (/ (* (log y) (+ 1/2 y)) x)) (/ y x))) (/ z x)))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) x)) 1)))> |
#<alt (- (+ x (* -1/2 (log y))) z)> |
#<alt (- (+ x (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y)))))) z)> |
#<alt (- (+ x (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y)))))) z)> |
#<alt (- (+ x (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y)))))) z)> |
#<alt (* y (+ 1 (log (/ 1 y))))> |
#<alt (* y (- (+ 1 (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y)))) (/ z y)))> |
#<alt (* y (- (+ 1 (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y)))) (/ z y)))> |
#<alt (* y (- (+ 1 (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y)))) (/ z y)))> |
#<alt (* -1 (* y (- (+ (log -1) (* -1 (log (/ -1 y)))) 1)))> |
#<alt (* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) z) y)))) 1)))> |
#<alt (* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) z) y)))) 1)))> |
#<alt (* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) z) y)))) 1)))> |
#<alt (+ x (+ y (* -1 (* (log y) (+ 1/2 y)))))> |
#<alt (+ x (+ y (+ (* -1 z) (* -1 (* (log y) (+ 1/2 y))))))> |
#<alt (+ x (+ y (+ (* -1 z) (* -1 (* (log y) (+ 1/2 y))))))> |
#<alt (+ x (+ y (+ (* -1 z) (* -1 (* (log y) (+ 1/2 y))))))> |
#<alt (* -1 z)> |
#<alt (* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z))) 1))> |
#<alt (* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z))) 1))> |
#<alt (* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z))) 1))> |
#<alt (* -1 z)> |
#<alt (* -1 (* z (+ 1 (* -1 (/ (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z)))))> |
#<alt (* -1 (* z (+ 1 (* -1 (/ (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z)))))> |
#<alt (* -1 (* z (+ 1 (* -1 (/ (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z)))))> |
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#<alt (- (+ (* -1/2 (/ (log y) (+ x (+ z (* -1/2 (log y)))))) (+ (* y (- (+ (* -1 (/ (log y) (+ x (+ z (* -1/2 (log y)))))) (/ 1 (+ x (+ z (* -1/2 (log y)))))) (/ (* (+ 1 (* -1 (log y))) (- (+ x (* -1/2 (log y))) z)) (pow (+ x (+ z (* -1/2 (log y)))) 2)))) (/ x (+ x (+ z (* -1/2 (log y))))))) (/ z (+ x (+ z (* -1/2 (log y))))))> |
#<alt (- (+ (* -1/2 (/ (log y) (+ x (+ z (* -1/2 (log y)))))) (+ (* y (- (+ (* -1 (/ (log y) (+ x (+ z (* -1/2 (log y)))))) (+ (* -1 (/ (* y (* (+ 1 (* -1 (log y))) (- (+ (* -1 (/ (log y) (+ x (+ z (* -1/2 (log y)))))) (/ 1 (+ x (+ z (* -1/2 (log y)))))) (/ (* (+ 1 (* -1 (log y))) (- (+ x (* -1/2 (log y))) z)) (pow (+ x (+ z (* -1/2 (log y)))) 2))))) (+ x (+ z (* -1/2 (log y)))))) (/ 1 (+ x (+ z (* -1/2 (log y))))))) (/ (* (+ 1 (* -1 (log y))) (- (+ x (* -1/2 (log y))) z)) (pow (+ x (+ z (* -1/2 (log y)))) 2)))) (/ x (+ x (+ z (* -1/2 (log y))))))) (/ z (+ x (+ z (* -1/2 (log y))))))> |
#<alt (- (+ (* -1/2 (/ (log y) (+ x (+ z (* -1/2 (log y)))))) (+ (* y (- (+ (* -1 (/ (log y) (+ x (+ z (* -1/2 (log y)))))) (+ (* y (- (/ (* y (* (pow (+ 1 (* -1 (log y))) 2) (- (+ (* -1 (/ (log y) (+ x (+ z (* -1/2 (log y)))))) (/ 1 (+ x (+ z (* -1/2 (log y)))))) (/ (* (+ 1 (* -1 (log y))) (- (+ x (* -1/2 (log y))) z)) (pow (+ x (+ z (* -1/2 (log y)))) 2))))) (pow (+ x (+ z (* -1/2 (log y)))) 2)) (/ (* (+ 1 (* -1 (log y))) (- (+ (* -1 (/ (log y) (+ x (+ z (* -1/2 (log y)))))) (/ 1 (+ x (+ z (* -1/2 (log y)))))) (/ (* (+ 1 (* -1 (log y))) (- (+ x (* -1/2 (log y))) z)) (pow (+ x (+ z (* -1/2 (log y)))) 2)))) (+ x (+ z (* -1/2 (log y))))))) (/ 1 (+ x (+ z (* -1/2 (log y))))))) (/ (* (+ 1 (* -1 (log y))) (- (+ x (* -1/2 (log y))) z)) (pow (+ x (+ z (* -1/2 (log y)))) 2)))) (/ x (+ x (+ z (* -1/2 (log y))))))) (/ z (+ x (+ z (* -1/2 (log y))))))> |
#<alt 1> |
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#<alt 1> |
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#<alt (/ (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) (+ y (+ z (* -1 (* (log y) (+ 1/2 y))))))> |
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#<alt (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) (+ y (+ z (* -1 (* (log y) (+ 1/2 y))))))) (+ (* x (- (+ (* x (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) (pow (+ y (+ z (* -1 (* (log y) (+ 1/2 y))))) 3))) (/ y (pow (+ y (+ z (* -1 (* (log y) (+ 1/2 y))))) 3))) (+ (/ 1 (pow (+ y (+ z (* -1 (* (log y) (+ 1/2 y))))) 2)) (/ z (pow (+ y (+ z (* -1 (* (log y) (+ 1/2 y))))) 3))))) (+ (/ 1 (+ y (+ z (* -1 (* (log y) (+ 1/2 y)))))) (/ z (pow (+ y (+ z (* -1 (* (log y) (+ 1/2 y))))) 2)))) (+ (* -1 (/ (* (log y) (+ 1/2 y)) (pow (+ y (+ z (* -1 (* (log y) (+ 1/2 y))))) 2))) (/ y (pow (+ y (+ z (* -1 (* (log y) (+ 1/2 y))))) 2))))) (/ y (+ y (+ z (* -1 (* (log y) (+ 1/2 y)))))))) (/ z (+ y (+ z (* -1 (* (log y) (+ 1/2 y)))))))> |
#<alt (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) (+ y (+ z (* -1 (* (log y) (+ 1/2 y))))))) (+ (* x (- (+ (* x (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) (pow (+ y (+ z (* -1 (* (log y) (+ 1/2 y))))) 3))) (+ (* x (- (+ (/ 1 (pow (+ y (+ z (* -1 (* (log y) (+ 1/2 y))))) 3)) (/ z (pow (+ y (+ z (* -1 (* (log y) (+ 1/2 y))))) 4))) (+ (* -1 (/ (* (log y) (+ 1/2 y)) (pow (+ y (+ z (* -1 (* (log y) (+ 1/2 y))))) 4))) (/ y (pow (+ y (+ z (* -1 (* (log y) (+ 1/2 y))))) 4))))) (/ y (pow (+ y (+ z (* -1 (* (log y) (+ 1/2 y))))) 3)))) (+ (/ 1 (pow (+ y (+ z (* -1 (* (log y) (+ 1/2 y))))) 2)) (/ z (pow (+ y (+ z (* -1 (* (log y) (+ 1/2 y))))) 3))))) (+ (/ 1 (+ y (+ z (* -1 (* (log y) (+ 1/2 y)))))) (/ z (pow (+ y (+ z (* -1 (* (log y) (+ 1/2 y))))) 2)))) (+ (* -1 (/ (* (log y) (+ 1/2 y)) (pow (+ y (+ z (* -1 (* (log y) (+ 1/2 y))))) 2))) (/ y (pow (+ y (+ z (* -1 (* (log y) (+ 1/2 y))))) 2))))) (/ y (+ y (+ z (* -1 (* (log y) (+ 1/2 y)))))))) (/ z (+ y (+ z (* -1 (* (log y) (+ 1/2 y)))))))> |
#<alt 1> |
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#<alt 1> |
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#<alt (+ 1 (* -1 (/ (- (+ (* -1 (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z)) (* -1 (/ (* (+ y (+ z (* -1 (* (log y) (+ 1/2 y))))) (- (* -1 (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z)) (* -1 (+ y (+ z (* -1 (* (log y) (+ 1/2 y)))))))) x))) (* -1 (+ y (+ z (* -1 (* (log y) (+ 1/2 y))))))) x)))> |
#<alt (+ 1 (* -1 (/ (- (+ (* -1 (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z)) (* -1 (/ (- (* -1 (/ (* (pow (+ y (+ z (* -1 (* (log y) (+ 1/2 y))))) 2) (- (* -1 (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z)) (* -1 (+ y (+ z (* -1 (* (log y) (+ 1/2 y)))))))) x)) (* -1 (* (+ y (+ z (* -1 (* (log y) (+ 1/2 y))))) (- (* -1 (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z)) (* -1 (+ y (+ z (* -1 (* (log y) (+ 1/2 y)))))))))) x))) (* -1 (+ y (+ z (* -1 (* (log y) (+ 1/2 y))))))) x)))> |
#<alt 1> |
#<alt (+ 1 (* -2 (/ z (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))))))> |
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#<alt -1> |
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#<alt (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (+ (/ y z) (/ (* (pow (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) 2) (- (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) (* -1 (+ x (+ y (* -1 (* (log y) (+ 1/2 y)))))))) (pow z 3))))) (+ 1 (+ (* -1 (/ (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z)) (/ (* (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) (- (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) (* -1 (+ x (+ y (* -1 (* (log y) (+ 1/2 y)))))))) (pow z 2)))))> |
#<alt -1> |
#<alt (- (* -1 (/ (- (* -1 (+ x (+ y (* -1 (* (log y) (+ 1/2 y)))))) (+ x (+ y (* -1 (* (log y) (+ 1/2 y)))))) z)) 1)> |
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#<alt (- (* -1 (/ (- (+ (* -1 (+ x (+ y (* -1 (* (log y) (+ 1/2 y)))))) (* -1 (/ (- (* -1 (/ (* (pow (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) 2) (- (* -1 (+ x (+ y (* -1 (* (log y) (+ 1/2 y)))))) (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))))) z)) (* -1 (* (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) (- (* -1 (+ x (+ y (* -1 (* (log y) (+ 1/2 y)))))) (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))))))) z))) (+ x (+ y (* -1 (* (log y) (+ 1/2 y)))))) z)) 1)> |
#<alt (+ y (+ z (* -1 (* (log y) (+ 1/2 y)))))> |
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#<alt (+ x (+ y (+ z (* -1 (* (log y) (+ 1/2 y))))))> |
#<alt x> |
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#<alt (* x (+ 1 (+ (* -1 (/ (* (log y) (+ 1/2 y)) x)) (+ (/ y x) (/ z x)))))> |
#<alt (* x (+ 1 (+ (* -1 (/ (* (log y) (+ 1/2 y)) x)) (+ (/ y x) (/ z x)))))> |
#<alt x> |
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#<alt (* -1 (* x (- (* -1 (/ (+ y (+ z (* -1 (* (log y) (+ 1/2 y))))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (+ y (+ z (* -1 (* (log y) (+ 1/2 y))))) x)) 1)))> |
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#<alt (+ x (+ z (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y)))))))> |
#<alt (+ x (+ z (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y)))))))> |
#<alt (* y (+ 1 (log (/ 1 y))))> |
#<alt (* y (+ 1 (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (+ (/ x y) (/ z y))))))> |
#<alt (* y (+ 1 (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (+ (/ x y) (/ z y))))))> |
#<alt (* y (+ 1 (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (+ (/ x y) (/ z y))))))> |
#<alt (* -1 (* y (- (+ (log -1) (* -1 (log (/ -1 y)))) 1)))> |
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#<alt (+ x (+ y (* -1 (* (log y) (+ 1/2 y)))))> |
#<alt (+ x (+ y (+ z (* -1 (* (log y) (+ 1/2 y))))))> |
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#<alt (+ x (+ y (+ z (* -1 (* (log y) (+ 1/2 y))))))> |
#<alt z> |
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#<alt (* z (+ 1 (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z)))))> |
#<alt (* z (+ 1 (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z)))))> |
#<alt z> |
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#<alt (* -1 (* z (- (* -1 (/ (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z)) 1)))> |
#<alt (+ z (* -1/2 (log y)))> |
#<alt (+ z (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y))))))> |
#<alt (+ z (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y))))))> |
#<alt (+ z (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y))))))> |
#<alt (* y (+ 1 (log (/ 1 y))))> |
#<alt (* y (+ 1 (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ z y)))))> |
#<alt (* y (+ 1 (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ z y)))))> |
#<alt (* y (+ 1 (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ z y)))))> |
#<alt (* -1 (* y (- (+ (log -1) (* -1 (log (/ -1 y)))) 1)))> |
#<alt (* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ z (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)))) 1)))> |
#<alt (* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ z (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)))) 1)))> |
#<alt (* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ z (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)))) 1)))> |
#<alt (+ y (* -1 (* (log y) (+ 1/2 y))))> |
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#<alt (+ y (+ z (* -1 (* (log y) (+ 1/2 y)))))> |
#<alt (+ y (+ z (* -1 (* (log y) (+ 1/2 y)))))> |
#<alt z> |
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#<alt (* z (+ 1 (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (/ y z))))> |
#<alt (* z (+ 1 (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (/ y z))))> |
#<alt z> |
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#<alt (* -1 (* z (- (* -1 (/ (+ y (* -1 (* (log y) (+ 1/2 y)))) z)) 1)))> |
#<alt (* -1 z)> |
#<alt (* -1 z)> |
#<alt (* -1 z)> |
#<alt (* -1 z)> |
#<alt (* -1 z)> |
#<alt (* -1 z)> |
#<alt (* -1 z)> |
#<alt (* -1 z)> |
#<alt (* -1 z)> |
#<alt (* -1 z)> |
#<alt (* -1 z)> |
#<alt (* -1 z)> |
#<alt (- y (+ z (* (log y) (+ 1/2 y))))> |
#<alt (- (+ x y) (+ z (* (log y) (+ 1/2 y))))> |
#<alt (- (+ x y) (+ z (* (log y) (+ 1/2 y))))> |
#<alt (- (+ x y) (+ z (* (log y) (+ 1/2 y))))> |
#<alt x> |
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#<alt (* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x))))> |
#<alt (* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x))))> |
#<alt x> |
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#<alt (- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y))))> |
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#<alt (* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y)))))> |
#<alt (* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y)))))> |
#<alt (* y (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))> |
#<alt (* -1 (* y (- (* -1 (/ (- x (+ z (* 1/2 (+ (log -1) (* -1 (log (/ -1 y))))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))))> |
#<alt (* -1 (* y (- (* -1 (/ (- x (+ z (* 1/2 (+ (log -1) (* -1 (log (/ -1 y))))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))))> |
#<alt (* -1 (* y (- (* -1 (/ (- x (+ z (* 1/2 (+ (log -1) (* -1 (log (/ -1 y))))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))))> |
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#<alt (* -1 z)> |
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#<alt z> |
#<alt z> |
#<alt z> |
#<alt z> |
#<alt z> |
#<alt z> |
#<alt z> |
#<alt z> |
#<alt z> |
#<alt z> |
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#<alt z> |
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#<alt (* -1 (pow z 2))> |
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#<alt (* x (- (+ 1 (+ (* -1 (/ (* (log y) (+ 1/2 y)) x)) (/ y x))) (/ z x)))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) x)) 1)))> |
#<alt (+ x (+ y (* -1 (* (log y) (+ 1/2 y)))))> |
#<alt (+ x (+ y (+ (* -1 z) (* -1 (* (log y) (+ 1/2 y))))))> |
#<alt (+ x (+ y (+ (* -1 z) (* -1 (* (log y) (+ 1/2 y))))))> |
#<alt (+ x (+ y (+ (* -1 z) (* -1 (* (log y) (+ 1/2 y))))))> |
#<alt (* -1 z)> |
#<alt (* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z))) 1))> |
#<alt (* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z))) 1))> |
#<alt (* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z))) 1))> |
#<alt (* -1 z)> |
#<alt (* -1 (* z (+ 1 (* -1 (/ (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z)))))> |
#<alt (* -1 (* z (+ 1 (* -1 (/ (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z)))))> |
#<alt (* -1 (* z (+ 1 (* -1 (/ (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z)))))> |
#<alt (* y (+ 1 (* -1 (log y))))> |
#<alt (* y (+ 1 (* -1 (log y))))> |
#<alt (* y (+ 1 (* -1 (log y))))> |
#<alt (* y (+ 1 (* -1 (log y))))> |
#<alt (* y (+ 1 (log (/ 1 y))))> |
#<alt (* y (+ 1 (log (/ 1 y))))> |
#<alt (* y (+ 1 (log (/ 1 y))))> |
#<alt (* y (+ 1 (log (/ 1 y))))> |
#<alt (* -1 (* y (- (+ (log -1) (* -1 (log (/ -1 y)))) 1)))> |
#<alt (* -1 (* y (- (+ (log -1) (* -1 (log (/ -1 y)))) 1)))> |
#<alt (* -1 (* y (- (+ (log -1) (* -1 (log (/ -1 y)))) 1)))> |
#<alt (* -1 (* y (- (+ (log -1) (* -1 (log (/ -1 y)))) 1)))> |
#<alt (/ 1 (+ y (+ z (* -1 (* (log y) (+ 1/2 y))))))> |
#<alt (+ (* -1 (/ x (pow (+ y (+ z (* -1 (* (log y) (+ 1/2 y))))) 2))) (/ 1 (+ y (+ z (* -1 (* (log y) (+ 1/2 y)))))))> |
#<alt (+ (* x (- (/ x (pow (+ y (+ z (* -1 (* (log y) (+ 1/2 y))))) 3)) (/ 1 (pow (+ y (+ z (* -1 (* (log y) (+ 1/2 y))))) 2)))) (/ 1 (+ y (+ z (* -1 (* (log y) (+ 1/2 y)))))))> |
#<alt (+ (* x (- (* x (+ (* -1 (/ x (pow (+ y (+ z (* -1 (* (log y) (+ 1/2 y))))) 4))) (/ 1 (pow (+ y (+ z (* -1 (* (log y) (+ 1/2 y))))) 3)))) (/ 1 (pow (+ y (+ z (* -1 (* (log y) (+ 1/2 y))))) 2)))) (/ 1 (+ y (+ z (* -1 (* (log y) (+ 1/2 y)))))))> |
#<alt (/ 1 x)> |
#<alt (/ (+ 1 (* -1 (/ (+ y (+ z (* -1 (* (log y) (+ 1/2 y))))) x))) x)> |
#<alt (/ (- (+ 1 (/ (pow (+ y (+ z (* -1 (* (log y) (+ 1/2 y))))) 2) (pow x 2))) (+ (* -1 (/ (* (log y) (+ 1/2 y)) x)) (+ (/ y x) (/ z x)))) x)> |
#<alt (/ (- (+ 1 (* -1 (/ (pow (+ y (+ z (* -1 (* (log y) (+ 1/2 y))))) 3) (pow x 3)))) (+ (* -1 (/ (* (log y) (+ 1/2 y)) x)) (+ (* -1 (/ (pow (+ y (+ z (* -1 (* (log y) (+ 1/2 y))))) 2) (pow x 2))) (+ (/ y x) (/ z x))))) x)> |
#<alt (/ 1 x)> |
#<alt (* -1 (/ (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) x)) (+ (/ y x) (/ z x))) 1) x))> |
#<alt (* -1 (/ (- (* -1 (/ (- (/ (pow (+ y (+ z (* -1 (* (log y) (+ 1/2 y))))) 2) x) (+ y (+ z (* -1 (* (log y) (+ 1/2 y)))))) x)) 1) x))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow (+ y (+ z (* -1 (* (log y) (+ 1/2 y))))) 3) x) (pow (+ y (+ z (* -1 (* (log y) (+ 1/2 y))))) 2)) x)) (+ y (+ z (* -1 (* (log y) (+ 1/2 y)))))) x)) 1) x))> |
#<alt (/ 1 (+ x (+ z (* -1/2 (log y)))))> |
#<alt (+ (* -1 (* y (+ (* -1 (/ (log y) (pow (+ x (+ z (* -1/2 (log y)))) 2))) (/ 1 (pow (+ x (+ z (* -1/2 (log y)))) 2))))) (/ 1 (+ x (+ z (* -1/2 (log y))))))> |
#<alt (+ (* y (- (/ (* y (* (+ 1 (* -1 (log y))) (+ (* -1 (/ (log y) (pow (+ x (+ z (* -1/2 (log y)))) 2))) (/ 1 (pow (+ x (+ z (* -1/2 (log y)))) 2))))) (+ x (+ z (* -1/2 (log y))))) (+ (* -1 (/ (log y) (pow (+ x (+ z (* -1/2 (log y)))) 2))) (/ 1 (pow (+ x (+ z (* -1/2 (log y)))) 2))))) (/ 1 (+ x (+ z (* -1/2 (log y))))))> |
#<alt (+ (* y (- (* y (- (* -1 (/ (* y (* (pow (+ 1 (* -1 (log y))) 2) (+ (* -1 (/ (log y) (pow (+ x (+ z (* -1/2 (log y)))) 2))) (/ 1 (pow (+ x (+ z (* -1/2 (log y)))) 2))))) (pow (+ x (+ z (* -1/2 (log y)))) 2))) (* -1 (/ (* (+ 1 (* -1 (log y))) (+ (* -1 (/ (log y) (pow (+ x (+ z (* -1/2 (log y)))) 2))) (/ 1 (pow (+ x (+ z (* -1/2 (log y)))) 2)))) (+ x (+ z (* -1/2 (log y)))))))) (+ (* -1 (/ (log y) (pow (+ x (+ z (* -1/2 (log y)))) 2))) (/ 1 (pow (+ x (+ z (* -1/2 (log y)))) 2))))) (/ 1 (+ x (+ z (* -1/2 (log y))))))> |
#<alt (/ 1 (* y (+ 1 (log (/ 1 y)))))> |
#<alt (/ (+ (* -1 (/ (+ (* 1/2 (/ (log (/ 1 y)) (pow (+ 1 (log (/ 1 y))) 2))) (+ (/ x (pow (+ 1 (log (/ 1 y))) 2)) (/ z (pow (+ 1 (log (/ 1 y))) 2)))) y)) (/ 1 (+ 1 (log (/ 1 y))))) y)> |
#<alt (/ (- (+ (/ 1 (+ 1 (log (/ 1 y)))) (/ (* (+ x (+ z (* 1/2 (log (/ 1 y))))) (+ (* 1/2 (/ (log (/ 1 y)) (pow (+ 1 (log (/ 1 y))) 2))) (+ (/ x (pow (+ 1 (log (/ 1 y))) 2)) (/ z (pow (+ 1 (log (/ 1 y))) 2))))) (* (pow y 2) (+ 1 (log (/ 1 y)))))) (+ (* 1/2 (/ (log (/ 1 y)) (* y (pow (+ 1 (log (/ 1 y))) 2)))) (+ (/ x (* y (pow (+ 1 (log (/ 1 y))) 2))) (/ z (* y (pow (+ 1 (log (/ 1 y))) 2)))))) y)> |
#<alt (/ (- (+ (* -1 (/ (* (pow (+ x (+ z (* 1/2 (log (/ 1 y))))) 2) (+ (* 1/2 (/ (log (/ 1 y)) (pow (+ 1 (log (/ 1 y))) 2))) (+ (/ x (pow (+ 1 (log (/ 1 y))) 2)) (/ z (pow (+ 1 (log (/ 1 y))) 2))))) (* (pow y 3) (pow (+ 1 (log (/ 1 y))) 2)))) (/ 1 (+ 1 (log (/ 1 y))))) (+ (* -1 (/ (* (+ x (+ z (* 1/2 (log (/ 1 y))))) (+ (* 1/2 (/ (log (/ 1 y)) (pow (+ 1 (log (/ 1 y))) 2))) (+ (/ x (pow (+ 1 (log (/ 1 y))) 2)) (/ z (pow (+ 1 (log (/ 1 y))) 2))))) (* (pow y 2) (+ 1 (log (/ 1 y)))))) (+ (* 1/2 (/ (log (/ 1 y)) (* y (pow (+ 1 (log (/ 1 y))) 2)))) (+ (/ x (* y (pow (+ 1 (log (/ 1 y))) 2))) (/ z (* y (pow (+ 1 (log (/ 1 y))) 2))))))) y)> |
#<alt (/ -1 (* y (- (+ (log -1) (* -1 (log (/ -1 y)))) 1)))> |
#<alt (* -1 (/ (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) (* y (pow (- (+ (log -1) (* -1 (log (/ -1 y)))) 1) 2)))) (+ (/ 1 (- (+ (log -1) (* -1 (log (/ -1 y)))) 1)) (+ (/ x (* y (pow (- (+ (log -1) (* -1 (log (/ -1 y)))) 1) 2))) (/ z (* y (pow (- (+ (log -1) (* -1 (log (/ -1 y)))) 1) 2)))))) y))> |
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (+ x (+ z (* -1/2 (+ (log -1) (* -1 (log (/ -1 y))))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) (pow (- (+ (log -1) (* -1 (log (/ -1 y)))) 1) 2))) (+ (/ x (pow (- (+ (log -1) (* -1 (log (/ -1 y)))) 1) 2)) (/ z (pow (- (+ (log -1) (* -1 (log (/ -1 y)))) 1) 2))))) (* y (- (+ (log -1) (* -1 (log (/ -1 y)))) 1)))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) (pow (- (+ (log -1) (* -1 (log (/ -1 y)))) 1) 2))) (+ (/ x (pow (- (+ (log -1) (* -1 (log (/ -1 y)))) 1) 2)) (/ z (pow (- (+ (log -1) (* -1 (log (/ -1 y)))) 1) 2))))) y)) (/ 1 (- (+ (log -1) (* -1 (log (/ -1 y)))) 1))) y))> |
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow (+ x (+ z (* -1/2 (+ (log -1) (* -1 (log (/ -1 y))))))) 2) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) (pow (- (+ (log -1) (* -1 (log (/ -1 y)))) 1) 2))) (+ (/ x (pow (- (+ (log -1) (* -1 (log (/ -1 y)))) 1) 2)) (/ z (pow (- (+ (log -1) (* -1 (log (/ -1 y)))) 1) 2))))) (* y (pow (- (+ (log -1) (* -1 (log (/ -1 y)))) 1) 2))) (* -1 (/ (* (+ x (+ z (* -1/2 (+ (log -1) (* -1 (log (/ -1 y))))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) (pow (- (+ (log -1) (* -1 (log (/ -1 y)))) 1) 2))) (+ (/ x (pow (- (+ (log -1) (* -1 (log (/ -1 y)))) 1) 2)) (/ z (pow (- (+ (log -1) (* -1 (log (/ -1 y)))) 1) 2))))) (- (+ (log -1) (* -1 (log (/ -1 y)))) 1)))) y)) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) (pow (- (+ (log -1) (* -1 (log (/ -1 y)))) 1) 2))) (+ (/ x (pow (- (+ (log -1) (* -1 (log (/ -1 y)))) 1) 2)) (/ z (pow (- (+ (log -1) (* -1 (log (/ -1 y)))) 1) 2))))) y)) (/ 1 (- (+ (log -1) (* -1 (log (/ -1 y)))) 1))) y))> |
#<alt (/ 1 (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))))> |
#<alt (+ (* -1 (/ z (pow (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) 2))) (/ 1 (+ x (+ y (* -1 (* (log y) (+ 1/2 y)))))))> |
#<alt (+ (* z (- (/ z (pow (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) 3)) (/ 1 (pow (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) 2)))) (/ 1 (+ x (+ y (* -1 (* (log y) (+ 1/2 y)))))))> |
#<alt (+ (* z (- (* z (+ (* -1 (/ z (pow (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) 4))) (/ 1 (pow (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) 3)))) (/ 1 (pow (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) 2)))) (/ 1 (+ x (+ y (* -1 (* (log y) (+ 1/2 y)))))))> |
#<alt (/ 1 z)> |
#<alt (/ (+ 1 (* -1 (/ (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z))) z)> |
#<alt (/ (- (+ 1 (/ (pow (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) 2) (pow z 2))) (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z)))) z)> |
#<alt (/ (- (+ 1 (* -1 (/ (pow (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) 3) (pow z 3)))) (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (* -1 (/ (pow (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) 2) (pow z 2))) (+ (/ x z) (/ y z))))) z)> |
#<alt (/ 1 z)> |
#<alt (* -1 (/ (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z))) 1) z))> |
#<alt (* -1 (/ (- (* -1 (/ (- (/ (pow (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) 2) z) (+ x (+ y (* -1 (* (log y) (+ 1/2 y)))))) z)) 1) z))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) 3) z) (pow (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) 2)) z)) (+ x (+ y (* -1 (* (log y) (+ 1/2 y)))))) z)) 1) z))> |
#<alt (* -1/2 (log y))> |
#<alt (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y)))))> |
#<alt (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y)))))> |
#<alt (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y)))))> |
#<alt (* y (+ 1 (log (/ 1 y))))> |
#<alt (* y (+ 1 (+ (log (/ 1 y)) (* 1/2 (/ (log (/ 1 y)) y)))))> |
#<alt (* y (+ 1 (+ (log (/ 1 y)) (* 1/2 (/ (log (/ 1 y)) y)))))> |
#<alt (* y (+ 1 (+ (log (/ 1 y)) (* 1/2 (/ (log (/ 1 y)) y)))))> |
#<alt (* -1 (* y (- (+ (log -1) (* -1 (log (/ -1 y)))) 1)))> |
#<alt (* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y)))) 1)))> |
#<alt (* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y)))) 1)))> |
#<alt (* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y)))) 1)))> |
#<alt (+ x (* -1/2 (log y)))> |
#<alt (+ x (+ (* -1 (* y (log y))) (* -1/2 (log y))))> |
#<alt (+ x (+ (* -1 (* y (log y))) (* -1/2 (log y))))> |
#<alt (+ x (+ (* -1 (* y (log y))) (* -1/2 (log y))))> |
#<alt (* y (log (/ 1 y)))> |
#<alt (* y (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y))))> |
#<alt (* y (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y))))> |
#<alt (* y (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y))))> |
#<alt (* -1 (* y (+ (log -1) (* -1 (log (/ -1 y))))))> |
#<alt (* -1 (* y (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y))))))> |
#<alt (* -1 (* y (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y))))))> |
#<alt (* -1 (* y (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y))))))> |
#<alt (* -1 (* (log y) (+ 1/2 y)))> |
#<alt (+ x (* -1 (* (log y) (+ 1/2 y))))> |
#<alt (+ x (* -1 (* (log y) (+ 1/2 y))))> |
#<alt (+ x (* -1 (* (log y) (+ 1/2 y))))> |
#<alt x> |
#<alt (* x (+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x))))> |
#<alt (* x (+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x))))> |
#<alt (* x (+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x))))> |
#<alt x> |
#<alt (* -1 (* x (- (/ (* (log y) (+ 1/2 y)) x) 1)))> |
#<alt (* -1 (* x (- (/ (* (log y) (+ 1/2 y)) x) 1)))> |
#<alt (* -1 (* x (- (/ (* (log y) (+ 1/2 y)) x) 1)))> |
#<alt (pow z 2)> |
#<alt (pow z 2)> |
#<alt (pow z 2)> |
#<alt (pow z 2)> |
#<alt (pow z 2)> |
#<alt (pow z 2)> |
#<alt (pow z 2)> |
#<alt (pow z 2)> |
#<alt (pow z 2)> |
#<alt (pow z 2)> |
#<alt (pow z 2)> |
#<alt (pow z 2)> |
#<alt (pow z 3)> |
#<alt (pow z 3)> |
#<alt (pow z 3)> |
#<alt (pow z 3)> |
#<alt (pow z 3)> |
#<alt (pow z 3)> |
#<alt (pow z 3)> |
#<alt (pow z 3)> |
#<alt (pow z 3)> |
#<alt (pow z 3)> |
#<alt (pow z 3)> |
#<alt (pow z 3)> |
141 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 9.0ms | x | @ | -inf | (/ 1 (+ x (+ (+ (* (log y) (- -1/2 y)) y) z))) |
| 1.0ms | x | @ | 0 | (* (+ (+ (* (log y) (- -1/2 y)) x) (- y z)) (/ 1 (+ x (+ (+ (* (log y) (- -1/2 y)) y) z)))) |
| 1.0ms | y | @ | -inf | (/ 1 (+ x (+ (+ (* (log y) (- -1/2 y)) y) z))) |
| 1.0ms | y | @ | 0 | (* (+ (+ (* (log y) (- -1/2 y)) x) (- y z)) (/ 1 (+ x (+ (+ (* (log y) (- -1/2 y)) y) z)))) |
| 1.0ms | y | @ | inf | (/ 1 (+ x (+ (+ (* (log y) (- -1/2 y)) y) z))) |
| 1× | egg-herbie |
| 6 282× | lower-fma.f64 |
| 6 282× | lower-fma.f32 |
| 5 678× | lower-+.f64 |
| 5 678× | lower-+.f32 |
| 4 740× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 866 | 11134 |
| 1 | 2907 | 10469 |
| 0 | 8180 | 10062 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) |
(- (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z) |
(- (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z) |
(- (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z) |
x |
(* x (- (+ 1 (+ (* -1 (/ (* (log y) (+ 1/2 y)) x)) (/ y x))) (/ z x))) |
(* x (- (+ 1 (+ (* -1 (/ (* (log y) (+ 1/2 y)) x)) (/ y x))) (/ z x))) |
(* x (- (+ 1 (+ (* -1 (/ (* (log y) (+ 1/2 y)) x)) (/ y x))) (/ z x))) |
x |
(* -1 (* x (- (* -1 (/ (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) x)) 1))) |
(- (+ x (* -1/2 (log y))) z) |
(- (+ x (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y)))))) z) |
(- (+ x (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y)))))) z) |
(- (+ x (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y)))))) z) |
(* y (+ 1 (log (/ 1 y)))) |
(* y (- (+ 1 (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y)))) (/ z y))) |
(* y (- (+ 1 (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y)))) (/ z y))) |
(* y (- (+ 1 (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y)))) (/ z y))) |
(* -1 (* y (- (+ (log -1) (* -1 (log (/ -1 y)))) 1))) |
(* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) z) y)))) 1))) |
(* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) z) y)))) 1))) |
(* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) z) y)))) 1))) |
(+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) |
(+ x (+ y (+ (* -1 z) (* -1 (* (log y) (+ 1/2 y)))))) |
(+ x (+ y (+ (* -1 z) (* -1 (* (log y) (+ 1/2 y)))))) |
(+ x (+ y (+ (* -1 z) (* -1 (* (log y) (+ 1/2 y)))))) |
(* -1 z) |
(* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z))) 1)) |
(* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z))) 1)) |
(* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z))) 1)) |
(* -1 z) |
(* -1 (* z (+ 1 (* -1 (/ (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z))))) |
(/ (- (+ x (* -1/2 (log y))) z) (+ x (+ z (* -1/2 (log y))))) |
(- (+ (* -1/2 (/ (log y) (+ x (+ z (* -1/2 (log y)))))) (+ (* y (- (+ (* -1 (/ (log y) (+ x (+ z (* -1/2 (log y)))))) (/ 1 (+ x (+ z (* -1/2 (log y)))))) (/ (* (+ 1 (* -1 (log y))) (- (+ x (* -1/2 (log y))) z)) (pow (+ x (+ z (* -1/2 (log y)))) 2)))) (/ x (+ x (+ z (* -1/2 (log y))))))) (/ z (+ x (+ z (* -1/2 (log y)))))) |
(- (+ (* -1/2 (/ (log y) (+ x (+ z (* -1/2 (log y)))))) (+ (* y (- (+ (* -1 (/ (log y) (+ x (+ z (* -1/2 (log y)))))) (+ (* -1 (/ (* y (* (+ 1 (* -1 (log y))) (- (+ (* -1 (/ (log y) (+ x (+ z (* -1/2 (log y)))))) (/ 1 (+ x (+ z (* -1/2 (log y)))))) (/ (* (+ 1 (* -1 (log y))) (- (+ x (* -1/2 (log y))) z)) (pow (+ x (+ z (* -1/2 (log y)))) 2))))) (+ x (+ z (* -1/2 (log y)))))) (/ 1 (+ x (+ z (* -1/2 (log y))))))) (/ (* (+ 1 (* -1 (log y))) (- (+ x (* -1/2 (log y))) z)) (pow (+ x (+ z (* -1/2 (log y)))) 2)))) (/ x (+ x (+ z (* -1/2 (log y))))))) (/ z (+ x (+ z (* -1/2 (log y)))))) |
(- (+ (* -1/2 (/ (log y) (+ x (+ z (* -1/2 (log y)))))) (+ (* y (- (+ (* -1 (/ (log y) (+ x (+ z (* -1/2 (log y)))))) (+ (* y (- (/ (* y (* (pow (+ 1 (* -1 (log y))) 2) (- (+ (* -1 (/ (log y) (+ x (+ z (* -1/2 (log y)))))) (/ 1 (+ x (+ z (* -1/2 (log y)))))) (/ (* (+ 1 (* -1 (log y))) (- (+ x (* -1/2 (log y))) z)) (pow (+ x (+ z (* -1/2 (log y)))) 2))))) (pow (+ x (+ z (* -1/2 (log y)))) 2)) (/ (* (+ 1 (* -1 (log y))) (- (+ (* -1 (/ (log y) (+ x (+ z (* -1/2 (log y)))))) (/ 1 (+ x (+ z (* -1/2 (log y)))))) (/ (* (+ 1 (* -1 (log y))) (- (+ x (* -1/2 (log y))) z)) (pow (+ x (+ z (* -1/2 (log y)))) 2)))) (+ x (+ z (* -1/2 (log y))))))) (/ 1 (+ x (+ z (* -1/2 (log y))))))) (/ (* (+ 1 (* -1 (log y))) (- (+ x (* -1/2 (log y))) z)) (pow (+ x (+ z (* -1/2 (log y)))) 2)))) (/ x (+ x (+ z (* -1/2 (log y))))))) (/ z (+ x (+ z (* -1/2 (log y)))))) |
1 |
(+ 1 (* -2 (/ z (* y (+ 1 (log (/ 1 y))))))) |
(- (+ 1 (* 2 (/ (* z (+ x (+ z (* 1/2 (log (/ 1 y)))))) (* (pow y 2) (pow (+ 1 (log (/ 1 y))) 2))))) (* 2 (/ z (* y (+ 1 (log (/ 1 y))))))) |
(- (+ 1 (* -2 (/ (* z (pow (+ x (+ z (* 1/2 (log (/ 1 y))))) 2)) (* (pow y 3) (pow (+ 1 (log (/ 1 y))) 3))))) (+ (* -2 (/ (* z (+ x (+ z (* 1/2 (log (/ 1 y)))))) (* (pow y 2) (pow (+ 1 (log (/ 1 y))) 2)))) (* 2 (/ z (* y (+ 1 (log (/ 1 y)))))))) |
1 |
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(/ -1 (* y (- (+ (log -1) (* -1 (log (/ -1 y)))) 1))) |
(* -1 (/ (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) (* y (pow (- (+ (log -1) (* -1 (log (/ -1 y)))) 1) 2)))) (+ (/ 1 (- (+ (log -1) (* -1 (log (/ -1 y)))) 1)) (+ (/ x (* y (pow (- (+ (log -1) (* -1 (log (/ -1 y)))) 1) 2))) (/ z (* y (pow (- (+ (log -1) (* -1 (log (/ -1 y)))) 1) 2)))))) y)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (+ x (+ z (* -1/2 (+ (log -1) (* -1 (log (/ -1 y))))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) (pow (- (+ (log -1) (* -1 (log (/ -1 y)))) 1) 2))) (+ (/ x (pow (- (+ (log -1) (* -1 (log (/ -1 y)))) 1) 2)) (/ z (pow (- (+ (log -1) (* -1 (log (/ -1 y)))) 1) 2))))) (* y (- (+ (log -1) (* -1 (log (/ -1 y)))) 1)))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) (pow (- (+ (log -1) (* -1 (log (/ -1 y)))) 1) 2))) (+ (/ x (pow (- (+ (log -1) (* -1 (log (/ -1 y)))) 1) 2)) (/ z (pow (- (+ (log -1) (* -1 (log (/ -1 y)))) 1) 2))))) y)) (/ 1 (- (+ (log -1) (* -1 (log (/ -1 y)))) 1))) y)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow (+ x (+ z (* -1/2 (+ (log -1) (* -1 (log (/ -1 y))))))) 2) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) (pow (- (+ (log -1) (* -1 (log (/ -1 y)))) 1) 2))) (+ (/ x (pow (- (+ (log -1) (* -1 (log (/ -1 y)))) 1) 2)) (/ z (pow (- (+ (log -1) (* -1 (log (/ -1 y)))) 1) 2))))) (* y (pow (- (+ (log -1) (* -1 (log (/ -1 y)))) 1) 2))) (* -1 (/ (* (+ x (+ z (* -1/2 (+ (log -1) (* -1 (log (/ -1 y))))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) (pow (- (+ (log -1) (* -1 (log (/ -1 y)))) 1) 2))) (+ (/ x (pow (- (+ (log -1) (* -1 (log (/ -1 y)))) 1) 2)) (/ z (pow (- (+ (log -1) (* -1 (log (/ -1 y)))) 1) 2))))) (- (+ (log -1) (* -1 (log (/ -1 y)))) 1)))) y)) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) (pow (- (+ (log -1) (* -1 (log (/ -1 y)))) 1) 2))) (+ (/ x (pow (- (+ (log -1) (* -1 (log (/ -1 y)))) 1) 2)) (/ z (pow (- (+ (log -1) (* -1 (log (/ -1 y)))) 1) 2))))) y)) (/ 1 (- (+ (log -1) (* -1 (log (/ -1 y)))) 1))) y)) |
(/ 1 (+ x (+ y (* -1 (* (log y) (+ 1/2 y)))))) |
(+ (* -1 (/ z (pow (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) 2))) (/ 1 (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))))) |
(+ (* z (- (/ z (pow (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) 3)) (/ 1 (pow (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) 2)))) (/ 1 (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))))) |
(+ (* z (- (* z (+ (* -1 (/ z (pow (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) 4))) (/ 1 (pow (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) 3)))) (/ 1 (pow (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) 2)))) (/ 1 (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))))) |
(/ 1 z) |
(/ (+ 1 (* -1 (/ (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z))) z) |
(/ (- (+ 1 (/ (pow (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) 2) (pow z 2))) (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z)))) z) |
(/ (- (+ 1 (* -1 (/ (pow (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) 3) (pow z 3)))) (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (* -1 (/ (pow (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) 2) (pow z 2))) (+ (/ x z) (/ y z))))) z) |
(/ 1 z) |
(* -1 (/ (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z))) 1) z)) |
(* -1 (/ (- (* -1 (/ (- (/ (pow (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) 2) z) (+ x (+ y (* -1 (* (log y) (+ 1/2 y)))))) z)) 1) z)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) 3) z) (pow (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) 2)) z)) (+ x (+ y (* -1 (* (log y) (+ 1/2 y)))))) z)) 1) z)) |
(* -1/2 (log y)) |
(+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y))))) |
(+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y))))) |
(+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y))))) |
(* y (+ 1 (log (/ 1 y)))) |
(* y (+ 1 (+ (log (/ 1 y)) (* 1/2 (/ (log (/ 1 y)) y))))) |
(* y (+ 1 (+ (log (/ 1 y)) (* 1/2 (/ (log (/ 1 y)) y))))) |
(* y (+ 1 (+ (log (/ 1 y)) (* 1/2 (/ (log (/ 1 y)) y))))) |
(* -1 (* y (- (+ (log -1) (* -1 (log (/ -1 y)))) 1))) |
(* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y)))) 1))) |
(* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y)))) 1))) |
(* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y)))) 1))) |
(+ x (* -1/2 (log y))) |
(+ x (+ (* -1 (* y (log y))) (* -1/2 (log y)))) |
(+ x (+ (* -1 (* y (log y))) (* -1/2 (log y)))) |
(+ x (+ (* -1 (* y (log y))) (* -1/2 (log y)))) |
(* y (log (/ 1 y))) |
(* y (+ (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)))) |
(* -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 (* (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 |
(* -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))) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(pow z 3) |
(pow z 3) |
(pow z 3) |
(pow z 3) |
(pow z 3) |
(pow z 3) |
(pow z 3) |
(pow z 3) |
(pow z 3) |
(pow z 3) |
(pow z 3) |
(pow z 3) |
| Outputs |
|---|
(- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) |
(-.f64 y (fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) z)) |
(- (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z) |
(-.f64 (+.f64 y x) (fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) z)) |
(- (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z) |
(-.f64 (+.f64 y x) (fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) z)) |
(- (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z) |
(-.f64 (+.f64 y x) (fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) z)) |
x |
(* x (- (+ 1 (+ (* -1 (/ (* (log y) (+ 1/2 y)) x)) (/ y x))) (/ z x))) |
(*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) (fma.f64 (log.f64 y) (/.f64 (+.f64 y #s(literal 1/2 binary64)) x) (/.f64 z x)))) |
(* x (- (+ 1 (+ (* -1 (/ (* (log y) (+ 1/2 y)) x)) (/ y x))) (/ z x))) |
(*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) (fma.f64 (log.f64 y) (/.f64 (+.f64 y #s(literal 1/2 binary64)) x) (/.f64 z x)))) |
(* x (- (+ 1 (+ (* -1 (/ (* (log y) (+ 1/2 y)) x)) (/ y x))) (/ z x))) |
(*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) (fma.f64 (log.f64 y) (/.f64 (+.f64 y #s(literal 1/2 binary64)) x) (/.f64 z x)))) |
x |
(* -1 (* x (- (* -1 (/ (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) x)) 1))) |
(neg.f64 (fma.f64 (/.f64 (-.f64 y (fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) z)) (neg.f64 x)) x (neg.f64 x))) |
(* -1 (* x (- (* -1 (/ (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) x)) 1))) |
(neg.f64 (fma.f64 (/.f64 (-.f64 y (fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) z)) (neg.f64 x)) x (neg.f64 x))) |
(* -1 (* x (- (* -1 (/ (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) x)) 1))) |
(neg.f64 (fma.f64 (/.f64 (-.f64 y (fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) z)) (neg.f64 x)) x (neg.f64 x))) |
(- (+ x (* -1/2 (log y))) z) |
(fma.f64 (log.f64 y) #s(literal -1/2 binary64) (-.f64 x z)) |
(- (+ x (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y)))))) z) |
(+.f64 (+.f64 y (*.f64 (log.f64 y) (+.f64 #s(literal -1/2 binary64) (neg.f64 y)))) (-.f64 x z)) |
(- (+ x (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y)))))) z) |
(+.f64 (+.f64 y (*.f64 (log.f64 y) (+.f64 #s(literal -1/2 binary64) (neg.f64 y)))) (-.f64 x z)) |
(- (+ x (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y)))))) z) |
(+.f64 (+.f64 y (*.f64 (log.f64 y) (+.f64 #s(literal -1/2 binary64) (neg.f64 y)))) (-.f64 x z)) |
(* y (+ 1 (log (/ 1 y)))) |
(fma.f64 (log.f64 y) (neg.f64 y) y) |
(* y (- (+ 1 (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y)))) (/ z y))) |
(*.f64 y (-.f64 (+.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) (fma.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 (log.f64 y) y)) (/.f64 x y))) (/.f64 z y))) |
(* y (- (+ 1 (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y)))) (/ z y))) |
(*.f64 y (-.f64 (+.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) (fma.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 (log.f64 y) y)) (/.f64 x y))) (/.f64 z y))) |
(* y (- (+ 1 (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y)))) (/ z y))) |
(*.f64 y (-.f64 (+.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) (fma.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 (log.f64 y) y)) (/.f64 x y))) (/.f64 z y))) |
(* -1 (* y (- (+ (log -1) (* -1 (log (/ -1 y)))) 1))) |
(*.f64 (+.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) #s(literal -1 binary64)) (neg.f64 y)) |
(* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) z) y)))) 1))) |
(neg.f64 (fma.f64 (-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (-.f64 x z)) y)) y (neg.f64 y))) |
(* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) z) y)))) 1))) |
(neg.f64 (fma.f64 (-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (-.f64 x z)) y)) y (neg.f64 y))) |
(* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) z) y)))) 1))) |
(neg.f64 (fma.f64 (-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (-.f64 x z)) y)) y (neg.f64 y))) |
(+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) |
(-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))) |
(+ x (+ y (+ (* -1 z) (* -1 (* (log y) (+ 1/2 y)))))) |
(-.f64 (+.f64 y x) (fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) z)) |
(+ x (+ y (+ (* -1 z) (* -1 (* (log y) (+ 1/2 y)))))) |
(-.f64 (+.f64 y x) (fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) z)) |
(+ x (+ y (+ (* -1 z) (* -1 (* (log y) (+ 1/2 y)))))) |
(-.f64 (+.f64 y x) (fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) z)) |
(* -1 z) |
(neg.f64 z) |
(* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z))) 1)) |
(*.f64 z (-.f64 (+.f64 (/.f64 x z) (/.f64 y z)) (fma.f64 (log.f64 y) (/.f64 (+.f64 y #s(literal 1/2 binary64)) z) #s(literal 1 binary64)))) |
(* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z))) 1)) |
(*.f64 z (-.f64 (+.f64 (/.f64 x z) (/.f64 y z)) (fma.f64 (log.f64 y) (/.f64 (+.f64 y #s(literal 1/2 binary64)) z) #s(literal 1 binary64)))) |
(* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z))) 1)) |
(*.f64 z (-.f64 (+.f64 (/.f64 x z) (/.f64 y z)) (fma.f64 (log.f64 y) (/.f64 (+.f64 y #s(literal 1/2 binary64)) z) #s(literal 1 binary64)))) |
(* -1 z) |
(neg.f64 z) |
(* -1 (* z (+ 1 (* -1 (/ (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z))))) |
(neg.f64 (fma.f64 z (/.f64 (-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))) (neg.f64 z)) z)) |
(* -1 (* z (+ 1 (* -1 (/ (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z))))) |
(neg.f64 (fma.f64 z (/.f64 (-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))) (neg.f64 z)) z)) |
(* -1 (* z (+ 1 (* -1 (/ (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z))))) |
(neg.f64 (fma.f64 z (/.f64 (-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))) (neg.f64 z)) z)) |
(/ (- (+ x (* -1/2 (log y))) z) (+ x (+ z (* -1/2 (log y))))) |
(/.f64 (fma.f64 (log.f64 y) #s(literal -1/2 binary64) (-.f64 x z)) (+.f64 z (fma.f64 (log.f64 y) #s(literal -1/2 binary64) x))) |
(- (+ (* -1/2 (/ (log y) (+ x (+ z (* -1/2 (log y)))))) (+ (* y (- (+ (* -1 (/ (log y) (+ x (+ z (* -1/2 (log y)))))) (/ 1 (+ x (+ z (* -1/2 (log y)))))) (/ (* (+ 1 (* -1 (log y))) (- (+ x (* -1/2 (log y))) z)) (pow (+ x (+ z (* -1/2 (log y)))) 2)))) (/ x (+ x (+ z (* -1/2 (log y))))))) (/ z (+ x (+ z (* -1/2 (log y)))))) |
(-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 y) (+.f64 z (fma.f64 (log.f64 y) #s(literal -1/2 binary64) x))) (fma.f64 y (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 z (fma.f64 (log.f64 y) #s(literal -1/2 binary64) x))) (/.f64 (log.f64 y) (+.f64 z (fma.f64 (log.f64 y) #s(literal -1/2 binary64) x)))) (/.f64 (*.f64 (fma.f64 (log.f64 y) #s(literal -1/2 binary64) (-.f64 x z)) (-.f64 #s(literal 1 binary64) (log.f64 y))) (pow.f64 (+.f64 z (fma.f64 (log.f64 y) #s(literal -1/2 binary64) x)) #s(literal 2 binary64)))) (/.f64 x (+.f64 z (fma.f64 (log.f64 y) #s(literal -1/2 binary64) x))))) (/.f64 z (+.f64 z (fma.f64 (log.f64 y) #s(literal -1/2 binary64) x)))) |
(- (+ (* -1/2 (/ (log y) (+ x (+ z (* -1/2 (log y)))))) (+ (* y (- (+ (* -1 (/ (log y) (+ x (+ z (* -1/2 (log y)))))) (+ (* -1 (/ (* y (* (+ 1 (* -1 (log y))) (- (+ (* -1 (/ (log y) (+ x (+ z (* -1/2 (log y)))))) (/ 1 (+ x (+ z (* -1/2 (log y)))))) (/ (* (+ 1 (* -1 (log y))) (- (+ x (* -1/2 (log y))) z)) (pow (+ x (+ z (* -1/2 (log y)))) 2))))) (+ x (+ z (* -1/2 (log y)))))) (/ 1 (+ x (+ z (* -1/2 (log y))))))) (/ (* (+ 1 (* -1 (log y))) (- (+ x (* -1/2 (log y))) z)) (pow (+ x (+ z (* -1/2 (log y)))) 2)))) (/ x (+ x (+ z (* -1/2 (log y))))))) (/ z (+ x (+ z (* -1/2 (log y)))))) |
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(/.f64 #s(literal 1 binary64) (-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))))) |
(+ (* -1 (/ z (pow (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) 2))) (/ 1 (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))))) (/.f64 z (pow.f64 (-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) |
(+ (* z (- (/ z (pow (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) 3)) (/ 1 (pow (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) 2)))) (/ 1 (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))))) |
(fma.f64 z (+.f64 (/.f64 z (pow.f64 (-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))) #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 (-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))))) |
(+ (* z (- (* z (+ (* -1 (/ z (pow (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) 4))) (/ 1 (pow (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) 3)))) (/ 1 (pow (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) 2)))) (/ 1 (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))))) |
(fma.f64 z (fma.f64 z (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))) #s(literal 3 binary64))) (/.f64 z (pow.f64 (-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))) #s(literal 4 binary64)))) (/.f64 #s(literal -1 binary64) (pow.f64 (-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))))) |
(/ 1 z) |
(/.f64 #s(literal 1 binary64) z) |
(/ (+ 1 (* -1 (/ (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z))) z) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))) z)) z) |
(/ (- (+ 1 (/ (pow (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) 2) (pow z 2))) (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z)))) z) |
(/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (pow.f64 (-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.f64 z z)) (+.f64 (/.f64 x z) (fma.f64 (neg.f64 (log.f64 y)) (/.f64 (+.f64 y #s(literal 1/2 binary64)) z) (/.f64 y z))))) z) |
(/ (- (+ 1 (* -1 (/ (pow (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) 3) (pow z 3)))) (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (* -1 (/ (pow (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) 2) (pow z 2))) (+ (/ x z) (/ y z))))) z) |
(/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (*.f64 z (*.f64 z z)))) (-.f64 (-.f64 (+.f64 (/.f64 x z) (/.f64 y z)) (/.f64 (pow.f64 (-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.f64 z z))) (/.f64 (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))) z))) z) |
(/ 1 z) |
(/.f64 #s(literal 1 binary64) z) |
(* -1 (/ (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z))) 1) z)) |
(/.f64 (-.f64 (+.f64 (/.f64 x z) (/.f64 y z)) (fma.f64 (log.f64 y) (/.f64 (+.f64 y #s(literal 1/2 binary64)) z) #s(literal 1 binary64))) (neg.f64 z)) |
(* -1 (/ (- (* -1 (/ (- (/ (pow (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) 2) z) (+ x (+ y (* -1 (* (log y) (+ 1/2 y)))))) z)) 1) z)) |
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (pow.f64 (-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (neg.f64 z)) (-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))))) z) #s(literal -1 binary64)) (neg.f64 z)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) 3) z) (pow (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) 2)) z)) (+ x (+ y (* -1 (* (log y) (+ 1/2 y)))))) z)) 1) z)) |
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (pow.f64 (-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))) #s(literal 3 binary64)) z) (pow.f64 (-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (neg.f64 z)) (-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))))) (neg.f64 z)) #s(literal -1 binary64)) (neg.f64 z)) |
(* -1/2 (log y)) |
(*.f64 (log.f64 y) #s(literal -1/2 binary64)) |
(+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y))))) |
(+.f64 y (*.f64 (log.f64 y) (+.f64 #s(literal -1/2 binary64) (neg.f64 y)))) |
(+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y))))) |
(+.f64 y (*.f64 (log.f64 y) (+.f64 #s(literal -1/2 binary64) (neg.f64 y)))) |
(+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y))))) |
(+.f64 y (*.f64 (log.f64 y) (+.f64 #s(literal -1/2 binary64) (neg.f64 y)))) |
(* y (+ 1 (log (/ 1 y)))) |
(fma.f64 (log.f64 y) (neg.f64 y) y) |
(* y (+ 1 (+ (log (/ 1 y)) (* 1/2 (/ (log (/ 1 y)) y))))) |
(*.f64 y (fma.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 (log.f64 y) y)) (-.f64 #s(literal 1 binary64) (log.f64 y)))) |
(* y (+ 1 (+ (log (/ 1 y)) (* 1/2 (/ (log (/ 1 y)) y))))) |
(*.f64 y (fma.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 (log.f64 y) y)) (-.f64 #s(literal 1 binary64) (log.f64 y)))) |
(* y (+ 1 (+ (log (/ 1 y)) (* 1/2 (/ (log (/ 1 y)) y))))) |
(*.f64 y (fma.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 (log.f64 y) y)) (-.f64 #s(literal 1 binary64) (log.f64 y)))) |
(* -1 (* y (- (+ (log -1) (* -1 (log (/ -1 y)))) 1))) |
(*.f64 (+.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) #s(literal -1 binary64)) (neg.f64 y)) |
(* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y)))) 1))) |
(neg.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) y) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y)))) y (neg.f64 y))) |
(* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y)))) 1))) |
(neg.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) y) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y)))) y (neg.f64 y))) |
(* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y)))) 1))) |
(neg.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) y) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y)))) y (neg.f64 y))) |
(+ x (* -1/2 (log y))) |
(fma.f64 (log.f64 y) #s(literal -1/2 binary64) x) |
(+ x (+ (* -1 (* y (log y))) (* -1/2 (log y)))) |
(fma.f64 (log.f64 y) (+.f64 #s(literal -1/2 binary64) (neg.f64 y)) x) |
(+ x (+ (* -1 (* y (log y))) (* -1/2 (log y)))) |
(fma.f64 (log.f64 y) (+.f64 #s(literal -1/2 binary64) (neg.f64 y)) x) |
(+ x (+ (* -1 (* y (log y))) (* -1/2 (log y)))) |
(fma.f64 (log.f64 y) (+.f64 #s(literal -1/2 binary64) (neg.f64 y)) x) |
(* y (log (/ 1 y))) |
(neg.f64 (*.f64 y (log.f64 y))) |
(* y (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y)))) |
(*.f64 y (-.f64 (fma.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 (log.f64 y) y)) (/.f64 x y)) (log.f64 y))) |
(* y (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y)))) |
(*.f64 y (-.f64 (fma.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 (log.f64 y) y)) (/.f64 x y)) (log.f64 y))) |
(* y (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y)))) |
(*.f64 y (-.f64 (fma.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 (log.f64 y) y)) (/.f64 x y)) (log.f64 y))) |
(* -1 (* y (+ (log -1) (* -1 (log (/ -1 y)))))) |
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (neg.f64 y)) |
(* -1 (* y (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)))))) |
(*.f64 (-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) x) y)) (neg.f64 y)) |
(* -1 (* y (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)))))) |
(*.f64 (-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) x) y)) (neg.f64 y)) |
(* -1 (* y (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)))))) |
(*.f64 (-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) x) y)) (neg.f64 y)) |
(* -1 (* (log y) (+ 1/2 y))) |
(*.f64 (+.f64 y #s(literal 1/2 binary64)) (neg.f64 (log.f64 y))) |
(+ x (* -1 (* (log y) (+ 1/2 y)))) |
(-.f64 x (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))) |
(+ x (* -1 (* (log y) (+ 1/2 y)))) |
(-.f64 x (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))) |
(+ x (* -1 (* (log y) (+ 1/2 y)))) |
(-.f64 x (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))) |
x |
(* x (+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x)))) |
(fma.f64 x (/.f64 (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))) (neg.f64 x)) x) |
(* x (+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x)))) |
(fma.f64 x (/.f64 (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))) (neg.f64 x)) x) |
(* x (+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x)))) |
(fma.f64 x (/.f64 (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))) (neg.f64 x)) x) |
x |
(* -1 (* x (- (/ (* (log y) (+ 1/2 y)) x) 1))) |
(*.f64 (fma.f64 (log.f64 y) (/.f64 (+.f64 y #s(literal 1/2 binary64)) x) #s(literal -1 binary64)) (neg.f64 x)) |
(* -1 (* x (- (/ (* (log y) (+ 1/2 y)) x) 1))) |
(*.f64 (fma.f64 (log.f64 y) (/.f64 (+.f64 y #s(literal 1/2 binary64)) x) #s(literal -1 binary64)) (neg.f64 x)) |
(* -1 (* x (- (/ (* (log y) (+ 1/2 y)) x) 1))) |
(*.f64 (fma.f64 (log.f64 y) (/.f64 (+.f64 y #s(literal 1/2 binary64)) x) #s(literal -1 binary64)) (neg.f64 x)) |
(pow z 2) |
(*.f64 z z) |
(pow z 2) |
(*.f64 z z) |
(pow z 2) |
(*.f64 z z) |
(pow z 2) |
(*.f64 z z) |
(pow z 2) |
(*.f64 z z) |
(pow z 2) |
(*.f64 z z) |
(pow z 2) |
(*.f64 z z) |
(pow z 2) |
(*.f64 z z) |
(pow z 2) |
(*.f64 z z) |
(pow z 2) |
(*.f64 z z) |
(pow z 2) |
(*.f64 z z) |
(pow z 2) |
(*.f64 z z) |
(pow z 3) |
(*.f64 z (*.f64 z z)) |
(pow z 3) |
(*.f64 z (*.f64 z z)) |
(pow z 3) |
(*.f64 z (*.f64 z z)) |
(pow z 3) |
(*.f64 z (*.f64 z z)) |
(pow z 3) |
(*.f64 z (*.f64 z z)) |
(pow z 3) |
(*.f64 z (*.f64 z z)) |
(pow z 3) |
(*.f64 z (*.f64 z z)) |
(pow z 3) |
(*.f64 z (*.f64 z z)) |
(pow z 3) |
(*.f64 z (*.f64 z z)) |
(pow z 3) |
(*.f64 z (*.f64 z z)) |
(pow z 3) |
(*.f64 z (*.f64 z z)) |
(pow z 3) |
(*.f64 z (*.f64 z z)) |
| 1× | batch-egg-rewrite |
| 6 480× | lower-fma.f32 |
| 6 474× | lower-fma.f64 |
| 4 526× | lower-/.f32 |
| 4 514× | lower-/.f64 |
| 3 948× | lower-*.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 51 | 354 |
| 0 | 81 | 287 |
| 1 | 359 | 218 |
| 2 | 3200 | 216 |
| 0 | 10302 | 216 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (+.f64 x (+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) z)) (*.f64 (+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x) (-.f64 y z)) (/.f64 #s(literal 1 binary64) (+.f64 x (+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) z))))) |
(*.f64 (+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x) (-.f64 y z)) (/.f64 #s(literal 1 binary64) (+.f64 x (+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) z)))) |
(+.f64 x (+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) z)) |
(+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) z) |
(/.f64 (*.f64 z (neg.f64 z)) z) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 z (neg.f64 z)) z)) |
(*.f64 z (neg.f64 z)) |
(neg.f64 z) |
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 z z)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 z z))) |
(-.f64 #s(literal 0 binary64) (*.f64 z z)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 z z)))) |
(/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))))) (/.f64 #s(literal 1 binary64) z)) (*.f64 z (*.f64 z (*.f64 z z)))) |
(*.f64 (neg.f64 (*.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))))) (/.f64 #s(literal 1 binary64) z)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))))) (/.f64 #s(literal 1 binary64) z)) (*.f64 z (*.f64 z (*.f64 z z))))) |
(neg.f64 (*.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (+ (* (log y) (- -1/2 y)) x) (- y z)) (fma.f64 (log.f64 y) (neg.f64 y) y)))) |
(/.f64 #s(literal 1 binary64) #s(approx (+ (+ (* (log y) (- -1/2 y)) x) (- y z)) (fma.f64 (log.f64 y) (neg.f64 y) y))) |
#s(approx (+ (+ (* (log y) (- -1/2 y)) x) (- y z)) (fma.f64 (log.f64 y) (neg.f64 y) y)) |
(fma.f64 (log.f64 y) (neg.f64 y) y) |
(/.f64 #s(literal 1 binary64) (+.f64 x (+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) z))) |
(fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) |
(fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x) |
(*.f64 z z) |
(*.f64 z (*.f64 z z)) |
| Outputs |
|---|
(+.f64 x (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) (-.f64 y z))) |
(+.f64 y (+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x) (neg.f64 z))) |
(+.f64 y (+.f64 (neg.f64 z) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x))) |
(+.f64 y (-.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x) z)) |
(+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x) (-.f64 y z)) |
(+.f64 (-.f64 y z) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)) |
(+.f64 (neg.f64 z) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) (+.f64 x y))) |
(+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) (+.f64 x y)) (neg.f64 z)) |
(+.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) (+.f64 x (-.f64 y z))) |
(+.f64 (+.f64 x (-.f64 y z)) (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y))) |
(+.f64 (*.f64 (/.f64 (+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x) (-.f64 y z)) (+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) (+.f64 z x))) x) (*.f64 (/.f64 (+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x) (-.f64 y z)) (+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) (+.f64 z x))) (+.f64 y (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) z)))) |
(+.f64 (*.f64 (/.f64 (+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x) (-.f64 y z)) (+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) (+.f64 z x))) (+.f64 y (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) z))) (*.f64 (/.f64 (+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x) (-.f64 y z)) (+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) (+.f64 z x))) x)) |
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(fma.f64 (*.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z))) (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z (*.f64 z z)))))) (*.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z))) (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z (*.f64 z z)))))) #s(literal 0 binary64)) |
(fma.f64 (*.f64 (*.f64 z (*.f64 z (*.f64 z (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z))))) (*.f64 (*.f64 z (*.f64 z (*.f64 z (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z))))) #s(literal 0 binary64)) |
(fma.f64 (-.f64 (/.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z (*.f64 z z)))) (neg.f64 z)) (-.f64 (/.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z (*.f64 z z)))) (neg.f64 z)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) (*.f64 z (*.f64 z (*.f64 z z))) #s(literal 0 binary64)) |
(fma.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 z)) #s(literal 0 binary64)) |
(neg.f64 (neg.f64 (*.f64 z z))) |
(/.f64 z (/.f64 #s(literal 1 binary64) z)) |
(/.f64 (neg.f64 z) (/.f64 #s(literal -1 binary64) z)) |
(/.f64 (*.f64 z (*.f64 z (*.f64 z z))) (*.f64 z z)) |
(/.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z))) (*.f64 z (*.f64 z (*.f64 z z)))) |
(/.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z))) (neg.f64 (neg.f64 (*.f64 z (*.f64 z (*.f64 z z)))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)))) (neg.f64 (*.f64 z (*.f64 z (*.f64 z z))))) |
(/.f64 (neg.f64 (*.f64 z (*.f64 z (*.f64 z z)))) (neg.f64 (*.f64 z z))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 z (*.f64 z (*.f64 z z))))) (*.f64 z z)) |
(/.f64 (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 z (*.f64 z (*.f64 z z))) #s(literal 0 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (*.f64 z (*.f64 z (*.f64 z z)))))) (neg.f64 (*.f64 z z))) |
(/.f64 (neg.f64 (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z))))) (neg.f64 (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 z (*.f64 z (*.f64 z z))) #s(literal 0 binary64))))) |
(/.f64 (fma.f64 z (*.f64 z (*.f64 z (*.f64 z (*.f64 z z)))) #s(literal 0 binary64)) (*.f64 z (*.f64 z (*.f64 z z)))) |
(pow.f64 z #s(literal 2 binary64)) |
(pow.f64 (neg.f64 z) #s(literal 2 binary64)) |
(pow.f64 (*.f64 z z) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -2 binary64)) |
(pow.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal -1 binary64) z)) #s(literal -1 binary64)) |
(pow.f64 (exp.f64 (log.f64 z)) #s(literal 2 binary64)) |
(*.f64 z z) |
(*.f64 z (neg.f64 (neg.f64 z))) |
(*.f64 #s(literal 1 binary64) (*.f64 z z)) |
(*.f64 (neg.f64 z) (neg.f64 z)) |
(*.f64 (*.f64 z z) #s(literal 1 binary64)) |
(*.f64 (*.f64 z (*.f64 z z)) (/.f64 #s(literal 1 binary64) z)) |
(*.f64 (*.f64 z (*.f64 z (*.f64 z z))) (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 2 binary64))) |
(*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 z z))) |
(*.f64 (neg.f64 (neg.f64 z)) z) |
(*.f64 (*.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z))) (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z (*.f64 z z)))))) (*.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z))) (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z (*.f64 z z))))))) |
(*.f64 (*.f64 (*.f64 z (*.f64 z (*.f64 z (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z))))) (*.f64 (*.f64 z (*.f64 z (*.f64 z (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z)))))) |
(*.f64 (-.f64 (/.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z (*.f64 z z)))) (neg.f64 z)) (-.f64 (/.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z (*.f64 z z)))) (neg.f64 z))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) (*.f64 z (*.f64 z (*.f64 z z)))) |
(*.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 z))) |
(exp.f64 (*.f64 (log.f64 z) #s(literal 3 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 z)) #s(literal 3/2 binary64))) |
(exp.f64 (-.f64 (*.f64 #s(literal 2 binary64) (log.f64 z)) (*.f64 (log.f64 z) #s(literal -1 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) z)) (neg.f64 (*.f64 z (*.f64 z z)))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 3 binary64))) |
(/.f64 (*.f64 z z) (/.f64 #s(literal 1 binary64) z)) |
(/.f64 (neg.f64 (*.f64 z z)) (/.f64 #s(literal -1 binary64) z)) |
(/.f64 (*.f64 z (*.f64 z z)) #s(literal 1 binary64)) |
(/.f64 (*.f64 z (*.f64 z (*.f64 z z))) z) |
(/.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z))) (*.f64 z (*.f64 z z))) |
(/.f64 (neg.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)))) (neg.f64 (*.f64 z (*.f64 z z)))) |
(/.f64 (neg.f64 (*.f64 z (*.f64 z (*.f64 z z)))) (neg.f64 z)) |
(/.f64 (neg.f64 (*.f64 z (*.f64 z z))) #s(literal -1 binary64)) |
(/.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)))) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)))) |
(/.f64 (pow.f64 (*.f64 (*.f64 z z) #s(literal -1 binary64)) #s(literal 3 binary64)) (neg.f64 (*.f64 z (*.f64 z z)))) |
(/.f64 (pow.f64 (/.f64 (*.f64 z z) #s(literal 1 binary64)) #s(literal 3 binary64)) (*.f64 z (*.f64 z z))) |
(pow.f64 z #s(literal 3 binary64)) |
(pow.f64 (*.f64 z z) #s(literal 3/2 binary64)) |
(pow.f64 (pow.f64 z #s(literal 3/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 (log.f64 z)) #s(literal 3 binary64)) |
(*.f64 z (*.f64 z z)) |
(*.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z))) |
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 z (*.f64 z (*.f64 z z)))) |
(*.f64 (*.f64 z z) z) |
(*.f64 (*.f64 z (*.f64 z z)) #s(literal 1 binary64)) |
(*.f64 (*.f64 z (*.f64 z z)) (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64))) |
(*.f64 (*.f64 z (*.f64 z (*.f64 z z))) (/.f64 #s(literal 1 binary64) z)) |
(*.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z))) (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 3 binary64))) |
(*.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 z #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 (neg.f64 (neg.f64 z)) #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 (neg.f64 (neg.f64 z)) #s(literal 3/2 binary64)) (pow.f64 z #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) (*.f64 z (*.f64 z z))) |
(*.f64 (pow.f64 (neg.f64 z) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 z) #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 (*.f64 z z)) #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 3 binary64)) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)))) |
Compiled 76 630 to 5 187 computations (93.2% saved)
41 alts after pruning (33 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 357 | 15 | 2 372 |
| Fresh | 6 | 18 | 24 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 6 | 6 |
| Total | 2 366 | 41 | 2 407 |
| Status | Accuracy | Program |
|---|---|---|
| 41.8% | (pow.f64 (pow.f64 (+.f64 y (-.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x) z)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) | |
| ✓ | 31.4% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (+ (* (log y) (- -1/2 y)) x) (- y z)) (fma.f64 (log.f64 y) (neg.f64 y) y)))) |
| 30.7% | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (+ (* (log y) (- -1/2 y)) x) (- y z))) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (log.f64 y))) (/.f64 z (*.f64 y (pow.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) #s(literal 2 binary64))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (neg.f64 (log.f64 y)) (*.f64 y (pow.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) #s(literal 2 binary64)))) (/.f64 x (*.f64 y (pow.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) #s(literal 2 binary64)))))) y))) | |
| 29.5% | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (+ (* (log y) (- -1/2 y)) x) (- y z))) (/.f64 #s(literal 1 binary64) x))) | |
| 30.0% | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (+ (* (log y) (- -1/2 y)) x) (- y z))) (/.f64 #s(literal -1 binary64) z))) | |
| ✓ | 99.8% | (-.f64 (+.f64 (-.f64 x (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64))))) y) z) |
| 49.0% | (-.f64 #s(approx (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (+ y -1/2))) y) (fma.f64 (fma.f64 y (neg.f64 y) #s(literal 1/4 binary64)) (/.f64 (log.f64 y) (+.f64 y #s(literal -1/2 binary64))) y)) z) | |
| 59.5% | (-.f64 #s(approx (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (+ y -1/2))) y) (fma.f64 (neg.f64 (log.f64 y)) y y)) z) | |
| ✓ | 59.4% | (-.f64 #s(approx (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (+ y -1/2))) y) (-.f64 y (*.f64 y (log.f64 y)))) z) |
| ✓ | 70.1% | (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 (log.f64 y) #s(literal -1/2 binary64) x)) z) |
| 41.6% | (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) #s(approx (+ (* (log y) -1/2) x) (*.f64 (log.f64 y) #s(literal -1/2 binary64)))) z) | |
| 32.0% | (*.f64 (+.f64 x (+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) z)) (*.f64 (+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x) (-.f64 y z)) (/.f64 #s(literal 1 binary64) #s(approx (+ x (+ (+ (* (log y) (- -1/2 y)) y) z)) (fma.f64 (log.f64 y) (neg.f64 y) y))))) | |
| 31.4% | #s(approx (/ 1 (/ 1 (+ (+ (* (log y) (- -1/2 y)) x) (- y z)))) (fma.f64 (log.f64 y) (neg.f64 y) y)) | |
| 78.5% | #s(approx (/ 1 (/ 1 (+ (+ (* (log y) (- -1/2 y)) x) (- y z)))) (fma.f64 z (/.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) (+.f64 x y)) z) (neg.f64 z))) | |
| 79.7% | #s(approx (/ 1 (/ 1 (+ (+ (* (log y) (- -1/2 y)) x) (- y z)))) (*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) (fma.f64 (log.f64 y) (/.f64 (+.f64 y #s(literal 1/2 binary64)) x) (/.f64 z x))))) | |
| ✓ | 31.4% | #s(approx (- (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (+ y -1/2))) y) z) (-.f64 y (*.f64 y (log.f64 y)))) |
| 29.6% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 (*.f64 (log.f64 y) (fma.f64 y y #s(literal -1/4 binary64))) #s(approx (neg (/ 1 (+ y -1/2))) (/.f64 #s(literal -1 binary64) y)) (+.f64 x y))) | |
| 3.6% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (neg.f64 (*.f64 z (*.f64 z (*.f64 z z)))) (*.f64 z z)) z)) | |
| 10.4% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 z (/.f64 #s(literal 1 binary64) z))) (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 z z)))) | |
| 6.1% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (fma.f64 (*.f64 z (*.f64 z z)) (/.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal 0 binary64)))) | |
| 2.9% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 (neg.f64 (*.f64 z (*.f64 z (*.f64 z z)))) (neg.f64 (*.f64 z (*.f64 z z)))))) | |
| 6.0% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (*.f64 (*.f64 z (*.f64 z z)) (/.f64 #s(literal 1 binary64) (*.f64 z z))))) | |
| 2.1% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z))) (*.f64 z (neg.f64 (*.f64 z (*.f64 z (*.f64 z z))))))) | |
| 2.7% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (*.f64 z z) (neg.f64 (*.f64 z (*.f64 z z)))) (*.f64 z (*.f64 z (*.f64 z z))))) | |
| 2.3% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (neg.f64 (*.f64 (/.f64 (*.f64 z (*.f64 z (*.f64 z z))) (*.f64 z z)) (*.f64 z (*.f64 z (*.f64 z z))))) (/.f64 #s(literal 1 binary64) z)) (*.f64 z (*.f64 z (*.f64 z z))))) | |
| 10.4% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (neg.f64 z) z) (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 z z)))) | |
| 6.2% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 z (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (neg.f64 (*.f64 z (*.f64 z z))))) z)) | |
| 12.5% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 z (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z))) z)) | |
| 6.3% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 z (*.f64 z z)) (*.f64 z (neg.f64 z)))) | |
| ✓ | 12.6% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 z (neg.f64 z)) z)) |
| 2.9% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (neg.f64 (*.f64 z (*.f64 z (*.f64 z z)))) (*.f64 z (*.f64 z z)))) | |
| ✓ | 70.6% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+.f64 y (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x))) |
| 6.0% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (/.f64 (*.f64 z (neg.f64 z)) (*.f64 z (*.f64 z z))) (*.f64 z z))) | |
| 2.1% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z (*.f64 z z))))) (neg.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)))))) | |
| 6.2% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (neg.f64 (*.f64 z (*.f64 z z))))) | |
| 12.5% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z))) | |
| 2.7% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (*.f64 z z) (*.f64 (neg.f64 (*.f64 z (*.f64 z (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z (*.f64 z z)))))))) | |
| ✓ | 30.0% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z)) |
| 41.5% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (+ (* (* (log y) (+ (* y y) -1/4)) (neg (/ 1 (+ y -1/2)))) (+ x y)) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x))) | |
| 22.7% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (+ (* (* (log y) (+ (* y y) -1/4)) (neg (/ 1 (+ y -1/2)))) (+ x y)) (-.f64 y (*.f64 (log.f64 y) (/.f64 (fma.f64 y y #s(literal -1/4 binary64)) (+.f64 #s(literal -1/2 binary64) y)))))) | |
| 42.9% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (+ y (+ (* (log y) (- -1/2 y)) x)) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y))) |
Compiled 1 770 to 603 computations (65.9% saved)
| Inputs |
|---|
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 z (neg.f64 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 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (+ (* (log y) (- -1/2 y)) x) (- y z))) (/.f64 #s(literal -1 binary64) z))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (+ (* (log y) (- -1/2 y)) x) (- y z))) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 z (*.f64 z z)) (*.f64 z (neg.f64 z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (neg.f64 (*.f64 z (*.f64 z z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 z (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z))) z)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (/.f64 (*.f64 z (neg.f64 z)) (*.f64 z (*.f64 z z))) (*.f64 z z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (neg.f64 (*.f64 z (*.f64 z (*.f64 z z)))) (*.f64 z (*.f64 z z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z))) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (neg.f64 z) z) (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 z z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 z z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (neg.f64 (*.f64 z (*.f64 z (*.f64 z z)))) (*.f64 z z)) z)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (*.f64 (neg.f64 z) (*.f64 z (*.f64 z z))) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (*.f64 z z) (neg.f64 (*.f64 z (*.f64 z z)))) (*.f64 z (*.f64 z (*.f64 z z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 z (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (neg.f64 (*.f64 z (*.f64 z z))))) z)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (*.f64 (*.f64 z (*.f64 z z)) (/.f64 #s(literal 1 binary64) (*.f64 z z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (fma.f64 (*.f64 z (*.f64 z z)) (/.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal 0 binary64)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 z (/.f64 #s(literal 1 binary64) z))) (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 z z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z)))) (neg.f64 (*.f64 z (*.f64 z (*.f64 z (*.f64 z z))))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z))) (*.f64 z (neg.f64 (*.f64 z (*.f64 z (*.f64 z z))))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 (neg.f64 (*.f64 z (*.f64 z (*.f64 z z)))) (neg.f64 (*.f64 z (*.f64 z z)))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (neg.f64 z))) (neg.f64 (*.f64 z (*.f64 z z))))) (+.f64 #s(literal 0 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (*.f64 z z) (*.f64 (neg.f64 (*.f64 z (*.f64 z (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z (*.f64 z z)))))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z (*.f64 z z))))) (neg.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))))) (/.f64 #s(literal 1 binary64) z)) (*.f64 z (*.f64 z (*.f64 z z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (neg.f64 (*.f64 (/.f64 (*.f64 z (*.f64 z (*.f64 z z))) (*.f64 z z)) (*.f64 z (*.f64 z (*.f64 z z))))) (/.f64 #s(literal 1 binary64) z)) (*.f64 z (*.f64 z (*.f64 z z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (+ y (+ (* (log y) (- -1/2 y)) x)) (fma.f64 (log.f64 y) #s(literal -1/2 binary64) x))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (+ (* (* (log y) (+ (* y y) -1/4)) (neg (/ 1 (+ y -1/2)))) (+ x y)) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 (log.f64 y) (neg.f64 y) y)) |
#s(approx (- (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (+ y -1/2))) y) z) (-.f64 y (*.f64 y (log.f64 y)))) |
#s(approx (/ 1 (/ 1 (+ (+ (* (log y) (- -1/2 y)) x) (- y z)))) (fma.f64 (log.f64 y) (neg.f64 y) y)) |
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) #s(approx (+ (* (log y) -1/2) x) (*.f64 (log.f64 y) #s(literal -1/2 binary64)))) z) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (+ y (+ (* (log y) (- -1/2 y)) x)) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y))) |
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 (log.f64 y) #s(literal -1/2 binary64) x)) z) |
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 (log.f64 y) (neg.f64 y) y)) z) |
(-.f64 #s(approx (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (+ y -1/2))) y) (-.f64 y (*.f64 y (log.f64 y)))) z) |
(-.f64 #s(approx (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (+ y -1/2))) y) (fma.f64 (neg.f64 (log.f64 y)) y y)) z) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+.f64 y (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y (fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) z))) |
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (+ (* (* (log y) (+ (* y y) -1/4)) (neg (/ 1 (+ y -1/2)))) (+ x y)) (-.f64 y (*.f64 (log.f64 y) (/.f64 (fma.f64 y y #s(literal -1/4 binary64)) (+.f64 #s(literal -1/2 binary64) y)))))) |
#s(approx (- (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (+ y -1/2))) y) z) (-.f64 y (fma.f64 (log.f64 y) (/.f64 (fma.f64 y y #s(literal -1/4 binary64)) (+.f64 y #s(literal -1/2 binary64))) z))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (+ (* (log y) (- -1/2 y)) x) (- y z)) (fma.f64 (log.f64 y) (neg.f64 y) y)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 (*.f64 (log.f64 y) (fma.f64 y y #s(literal -1/4 binary64))) #s(approx (neg (/ 1 (+ y -1/2))) (/.f64 #s(literal -1 binary64) y)) (+.f64 x y))) |
#s(approx (- (+ (- x (/ (log y) (/ 1 (+ y 1/2)))) y) z) (-.f64 (/.f64 (*.f64 z (+.f64 y (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x))) z) z)) |
#s(approx (/ 1 (/ 1 (+ (+ (* (log y) (- -1/2 y)) x) (- y z)))) (fma.f64 z (/.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) (+.f64 x y)) z) (neg.f64 z))) |
(-.f64 #s(approx (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (+ y -1/2))) y) (fma.f64 (fma.f64 y (neg.f64 y) #s(literal 1/4 binary64)) (/.f64 (log.f64 y) (+.f64 y #s(literal -1/2 binary64))) y)) z) |
(-.f64 (+.f64 (-.f64 x (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64))))) y) z) |
(-.f64 (+.f64 (-.f64 x (/.f64 (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (+.f64 y #s(literal -1/2 binary64)))) y) z) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 (*.f64 (log.f64 y) (fma.f64 y y #s(literal -1/4 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1/2 binary64)))) (+.f64 x y))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x) (-.f64 y z)))) |
(fma.f64 (*.f64 (neg.f64 (log.f64 y)) (fma.f64 y y #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1/2 binary64))) (+.f64 x (-.f64 y z))) |
(fma.f64 (*.f64 (+.f64 y z) (-.f64 y z)) (/.f64 #s(literal 1 binary64) (+.f64 y z)) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)) |
#s(approx (/ 1 (/ 1 (+ (+ (* (log y) (- -1/2 y)) x) (- y z)))) (*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) (fma.f64 (log.f64 y) (/.f64 (+.f64 y #s(literal 1/2 binary64)) x) (/.f64 z x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (+ (* (log y) (- -1/2 y)) x) (neg.f64 (*.f64 x (fma.f64 (+.f64 y #s(literal 1/2 binary64)) (/.f64 (log.f64 y) x) #s(literal -1 binary64))))) (-.f64 y z)))) |
(pow.f64 (pow.f64 (+.f64 y (-.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x) z)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(*.f64 (+.f64 x (+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) z)) (*.f64 (+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x) (-.f64 y z)) (/.f64 #s(literal 1 binary64) #s(approx (+ x (+ (+ (* (log y) (- -1/2 y)) y) z)) (fma.f64 (log.f64 y) (neg.f64 y) y))))) |
(*.f64 (+.f64 x (+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) z)) (*.f64 (+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x) (-.f64 y z)) (/.f64 #s(literal 1 binary64) (+.f64 x (+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) z))))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (+ (* (log y) (- -1/2 y)) x) (- y z))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (log.f64 y))) (-.f64 (/.f64 z (*.f64 y (pow.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) #s(literal 2 binary64)))) (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 y)) (*.f64 y (pow.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) #s(literal 2 binary64)))) (/.f64 x (*.f64 y (pow.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) #s(literal 2 binary64))))))) y))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (+ (* (log y) (- -1/2 y)) x) (- y z))) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (log.f64 y))) (/.f64 z (*.f64 y (pow.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) #s(literal 2 binary64))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (neg.f64 (log.f64 y)) (*.f64 y (pow.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) #s(literal 2 binary64)))) (/.f64 x (*.f64 y (pow.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) #s(literal 2 binary64)))))) y))) |
| Outputs |
|---|
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) |
5 calls:
| 25.0ms | y |
| 21.0ms | (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) |
| 20.0ms | z |
| 20.0ms | (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) |
| 17.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | x |
| 99.8% | 1 | y |
| 99.8% | 1 | z |
| 99.8% | 1 | (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) |
| 99.8% | 1 | (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) |
Compiled 40 to 28 computations (30% saved)
| Inputs |
|---|
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 z (neg.f64 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 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (+ (* (log y) (- -1/2 y)) x) (- y z))) (/.f64 #s(literal -1 binary64) z))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (+ (* (log y) (- -1/2 y)) x) (- y z))) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 z (*.f64 z z)) (*.f64 z (neg.f64 z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (neg.f64 (*.f64 z (*.f64 z z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 z (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z))) z)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (/.f64 (*.f64 z (neg.f64 z)) (*.f64 z (*.f64 z z))) (*.f64 z z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (neg.f64 (*.f64 z (*.f64 z (*.f64 z z)))) (*.f64 z (*.f64 z z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z))) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (neg.f64 z) z) (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 z z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 z z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (neg.f64 (*.f64 z (*.f64 z (*.f64 z z)))) (*.f64 z z)) z)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (*.f64 (neg.f64 z) (*.f64 z (*.f64 z z))) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (*.f64 z z) (neg.f64 (*.f64 z (*.f64 z z)))) (*.f64 z (*.f64 z (*.f64 z z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 z (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (neg.f64 (*.f64 z (*.f64 z z))))) z)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (*.f64 (*.f64 z (*.f64 z z)) (/.f64 #s(literal 1 binary64) (*.f64 z z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (fma.f64 (*.f64 z (*.f64 z z)) (/.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal 0 binary64)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 z (/.f64 #s(literal 1 binary64) z))) (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 z z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z)))) (neg.f64 (*.f64 z (*.f64 z (*.f64 z (*.f64 z z))))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z))) (*.f64 z (neg.f64 (*.f64 z (*.f64 z (*.f64 z z))))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 (neg.f64 (*.f64 z (*.f64 z (*.f64 z z)))) (neg.f64 (*.f64 z (*.f64 z z)))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (neg.f64 z))) (neg.f64 (*.f64 z (*.f64 z z))))) (+.f64 #s(literal 0 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (*.f64 z z) (*.f64 (neg.f64 (*.f64 z (*.f64 z (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z (*.f64 z z)))))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z (*.f64 z z))))) (neg.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))))) (/.f64 #s(literal 1 binary64) z)) (*.f64 z (*.f64 z (*.f64 z z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (neg.f64 (*.f64 (/.f64 (*.f64 z (*.f64 z (*.f64 z z))) (*.f64 z z)) (*.f64 z (*.f64 z (*.f64 z z))))) (/.f64 #s(literal 1 binary64) z)) (*.f64 z (*.f64 z (*.f64 z z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (+ y (+ (* (log y) (- -1/2 y)) x)) (fma.f64 (log.f64 y) #s(literal -1/2 binary64) x))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (+ (* (* (log y) (+ (* y y) -1/4)) (neg (/ 1 (+ y -1/2)))) (+ x y)) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 (log.f64 y) (neg.f64 y) y)) |
#s(approx (- (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (+ y -1/2))) y) z) (-.f64 y (*.f64 y (log.f64 y)))) |
#s(approx (/ 1 (/ 1 (+ (+ (* (log y) (- -1/2 y)) x) (- y z)))) (fma.f64 (log.f64 y) (neg.f64 y) y)) |
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) #s(approx (+ (* (log y) -1/2) x) (*.f64 (log.f64 y) #s(literal -1/2 binary64)))) z) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (+ y (+ (* (log y) (- -1/2 y)) x)) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y))) |
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 (log.f64 y) #s(literal -1/2 binary64) x)) z) |
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 (log.f64 y) (neg.f64 y) y)) z) |
(-.f64 #s(approx (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (+ y -1/2))) y) (-.f64 y (*.f64 y (log.f64 y)))) z) |
(-.f64 #s(approx (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (+ y -1/2))) y) (fma.f64 (neg.f64 (log.f64 y)) y y)) z) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+.f64 y (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y (fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) z))) |
| Outputs |
|---|
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+.f64 y (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y (fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) z))) |
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 (log.f64 y) #s(literal -1/2 binary64) x)) z) |
5 calls:
| 20.0ms | x |
| 15.0ms | (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) |
| 15.0ms | y |
| 12.0ms | (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) |
| 12.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 94.1% | 3 | x |
| 91.4% | 2 | y |
| 92.1% | 3 | z |
| 88.1% | 3 | (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) |
| 95.1% | 3 | (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) |
Compiled 40 to 28 computations (30% saved)
| Inputs |
|---|
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 z (neg.f64 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 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (+ (* (log y) (- -1/2 y)) x) (- y z))) (/.f64 #s(literal -1 binary64) z))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (+ (* (log y) (- -1/2 y)) x) (- y z))) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 z (*.f64 z z)) (*.f64 z (neg.f64 z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (neg.f64 (*.f64 z (*.f64 z z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 z (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z))) z)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (/.f64 (*.f64 z (neg.f64 z)) (*.f64 z (*.f64 z z))) (*.f64 z z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (neg.f64 (*.f64 z (*.f64 z (*.f64 z z)))) (*.f64 z (*.f64 z z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z))) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (neg.f64 z) z) (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 z z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 z z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (neg.f64 (*.f64 z (*.f64 z (*.f64 z z)))) (*.f64 z z)) z)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (*.f64 (neg.f64 z) (*.f64 z (*.f64 z z))) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (*.f64 z z) (neg.f64 (*.f64 z (*.f64 z z)))) (*.f64 z (*.f64 z (*.f64 z z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 z (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (neg.f64 (*.f64 z (*.f64 z z))))) z)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (*.f64 (*.f64 z (*.f64 z z)) (/.f64 #s(literal 1 binary64) (*.f64 z z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (fma.f64 (*.f64 z (*.f64 z z)) (/.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal 0 binary64)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 z (/.f64 #s(literal 1 binary64) z))) (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 z z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z)))) (neg.f64 (*.f64 z (*.f64 z (*.f64 z (*.f64 z z))))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z))) (*.f64 z (neg.f64 (*.f64 z (*.f64 z (*.f64 z z))))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 (neg.f64 (*.f64 z (*.f64 z (*.f64 z z)))) (neg.f64 (*.f64 z (*.f64 z z)))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (neg.f64 z))) (neg.f64 (*.f64 z (*.f64 z z))))) (+.f64 #s(literal 0 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (*.f64 z z) (*.f64 (neg.f64 (*.f64 z (*.f64 z (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z (*.f64 z z)))))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z (*.f64 z z))))) (neg.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))))) (/.f64 #s(literal 1 binary64) z)) (*.f64 z (*.f64 z (*.f64 z z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (neg.f64 (*.f64 (/.f64 (*.f64 z (*.f64 z (*.f64 z z))) (*.f64 z z)) (*.f64 z (*.f64 z (*.f64 z z))))) (/.f64 #s(literal 1 binary64) z)) (*.f64 z (*.f64 z (*.f64 z z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (+ y (+ (* (log y) (- -1/2 y)) x)) (fma.f64 (log.f64 y) #s(literal -1/2 binary64) x))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (+ (* (* (log y) (+ (* y y) -1/4)) (neg (/ 1 (+ y -1/2)))) (+ x y)) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 (log.f64 y) (neg.f64 y) y)) |
#s(approx (- (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (+ y -1/2))) y) z) (-.f64 y (*.f64 y (log.f64 y)))) |
#s(approx (/ 1 (/ 1 (+ (+ (* (log y) (- -1/2 y)) x) (- y z)))) (fma.f64 (log.f64 y) (neg.f64 y) y)) |
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) #s(approx (+ (* (log y) -1/2) x) (*.f64 (log.f64 y) #s(literal -1/2 binary64)))) z) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (+ y (+ (* (log y) (- -1/2 y)) x)) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y))) |
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 (log.f64 y) #s(literal -1/2 binary64) x)) z) |
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 (log.f64 y) (neg.f64 y) y)) z) |
(-.f64 #s(approx (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (+ y -1/2))) y) (-.f64 y (*.f64 y (log.f64 y)))) z) |
(-.f64 #s(approx (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (+ y -1/2))) y) (fma.f64 (neg.f64 (log.f64 y)) y y)) z) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+.f64 y (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x))) |
| Outputs |
|---|
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+.f64 y (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x))) |
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 (log.f64 y) (neg.f64 y) y)) z) |
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 (log.f64 y) #s(literal -1/2 binary64) x)) z) |
1 calls:
| 14.0ms | (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 94.8% | 3 | (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) |
Compiled 13 to 9 computations (30.8% saved)
| Inputs |
|---|
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 z (neg.f64 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 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (+ (* (log y) (- -1/2 y)) x) (- y z))) (/.f64 #s(literal -1 binary64) z))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (+ (* (log y) (- -1/2 y)) x) (- y z))) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 z (*.f64 z z)) (*.f64 z (neg.f64 z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (neg.f64 (*.f64 z (*.f64 z z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 z (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z))) z)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (/.f64 (*.f64 z (neg.f64 z)) (*.f64 z (*.f64 z z))) (*.f64 z z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (neg.f64 (*.f64 z (*.f64 z (*.f64 z z)))) (*.f64 z (*.f64 z z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z))) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (neg.f64 z) z) (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 z z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 z z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (neg.f64 (*.f64 z (*.f64 z (*.f64 z z)))) (*.f64 z z)) z)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (*.f64 (neg.f64 z) (*.f64 z (*.f64 z z))) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (*.f64 z z) (neg.f64 (*.f64 z (*.f64 z z)))) (*.f64 z (*.f64 z (*.f64 z z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 z (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (neg.f64 (*.f64 z (*.f64 z z))))) z)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (*.f64 (*.f64 z (*.f64 z z)) (/.f64 #s(literal 1 binary64) (*.f64 z z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (fma.f64 (*.f64 z (*.f64 z z)) (/.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal 0 binary64)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 z (/.f64 #s(literal 1 binary64) z))) (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 z z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z)))) (neg.f64 (*.f64 z (*.f64 z (*.f64 z (*.f64 z z))))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z))) (*.f64 z (neg.f64 (*.f64 z (*.f64 z (*.f64 z z))))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 (neg.f64 (*.f64 z (*.f64 z (*.f64 z z)))) (neg.f64 (*.f64 z (*.f64 z z)))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (neg.f64 z))) (neg.f64 (*.f64 z (*.f64 z z))))) (+.f64 #s(literal 0 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (*.f64 z z) (*.f64 (neg.f64 (*.f64 z (*.f64 z (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z (*.f64 z z)))))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z (*.f64 z z))))) (neg.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))))) (/.f64 #s(literal 1 binary64) z)) (*.f64 z (*.f64 z (*.f64 z z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (neg.f64 (*.f64 (/.f64 (*.f64 z (*.f64 z (*.f64 z z))) (*.f64 z z)) (*.f64 z (*.f64 z (*.f64 z z))))) (/.f64 #s(literal 1 binary64) z)) (*.f64 z (*.f64 z (*.f64 z z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (+ y (+ (* (log y) (- -1/2 y)) x)) (fma.f64 (log.f64 y) #s(literal -1/2 binary64) x))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (+ (* (* (log y) (+ (* y y) -1/4)) (neg (/ 1 (+ y -1/2)))) (+ x y)) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 (log.f64 y) (neg.f64 y) y)) |
#s(approx (- (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (+ y -1/2))) y) z) (-.f64 y (*.f64 y (log.f64 y)))) |
#s(approx (/ 1 (/ 1 (+ (+ (* (log y) (- -1/2 y)) x) (- y z)))) (fma.f64 (log.f64 y) (neg.f64 y) y)) |
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) #s(approx (+ (* (log y) -1/2) x) (*.f64 (log.f64 y) #s(literal -1/2 binary64)))) z) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (+ y (+ (* (log y) (- -1/2 y)) x)) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y))) |
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 (log.f64 y) #s(literal -1/2 binary64) x)) z) |
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 (log.f64 y) (neg.f64 y) y)) z) |
(-.f64 #s(approx (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (+ y -1/2))) y) (-.f64 y (*.f64 y (log.f64 y)))) z) |
(-.f64 #s(approx (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (+ y -1/2))) y) (fma.f64 (neg.f64 (log.f64 y)) y y)) z) |
| Outputs |
|---|
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 (log.f64 y) #s(literal -1/2 binary64) x)) z) |
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 (log.f64 y) (neg.f64 y) y)) z) |
3 calls:
| 14.0ms | x |
| 12.0ms | y |
| 12.0ms | (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 90.7% | 2 | y |
| 85.5% | 5 | x |
| 86.9% | 2 | (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) |
Compiled 21 to 15 computations (28.6% saved)
| Inputs |
|---|
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 z (neg.f64 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 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (+ (* (log y) (- -1/2 y)) x) (- y z))) (/.f64 #s(literal -1 binary64) z))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (+ (* (log y) (- -1/2 y)) x) (- y z))) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 z (*.f64 z z)) (*.f64 z (neg.f64 z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (neg.f64 (*.f64 z (*.f64 z z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 z (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z))) z)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (/.f64 (*.f64 z (neg.f64 z)) (*.f64 z (*.f64 z z))) (*.f64 z z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (neg.f64 (*.f64 z (*.f64 z (*.f64 z z)))) (*.f64 z (*.f64 z z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z))) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (neg.f64 z) z) (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 z z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 z z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (neg.f64 (*.f64 z (*.f64 z (*.f64 z z)))) (*.f64 z z)) z)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (*.f64 (neg.f64 z) (*.f64 z (*.f64 z z))) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (*.f64 z z) (neg.f64 (*.f64 z (*.f64 z z)))) (*.f64 z (*.f64 z (*.f64 z z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 z (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (neg.f64 (*.f64 z (*.f64 z z))))) z)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (*.f64 (*.f64 z (*.f64 z z)) (/.f64 #s(literal 1 binary64) (*.f64 z z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (fma.f64 (*.f64 z (*.f64 z z)) (/.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal 0 binary64)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 z (/.f64 #s(literal 1 binary64) z))) (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 z z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z)))) (neg.f64 (*.f64 z (*.f64 z (*.f64 z (*.f64 z z))))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z))) (*.f64 z (neg.f64 (*.f64 z (*.f64 z (*.f64 z z))))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 (neg.f64 (*.f64 z (*.f64 z (*.f64 z z)))) (neg.f64 (*.f64 z (*.f64 z z)))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (neg.f64 z))) (neg.f64 (*.f64 z (*.f64 z z))))) (+.f64 #s(literal 0 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (*.f64 z z) (*.f64 (neg.f64 (*.f64 z (*.f64 z (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z (*.f64 z z)))))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z (*.f64 z z))))) (neg.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))))) (/.f64 #s(literal 1 binary64) z)) (*.f64 z (*.f64 z (*.f64 z z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (neg.f64 (*.f64 (/.f64 (*.f64 z (*.f64 z (*.f64 z z))) (*.f64 z z)) (*.f64 z (*.f64 z (*.f64 z z))))) (/.f64 #s(literal 1 binary64) z)) (*.f64 z (*.f64 z (*.f64 z z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (+ y (+ (* (log y) (- -1/2 y)) x)) (fma.f64 (log.f64 y) #s(literal -1/2 binary64) x))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (+ (* (* (log y) (+ (* y y) -1/4)) (neg (/ 1 (+ y -1/2)))) (+ x y)) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 (log.f64 y) (neg.f64 y) y)) |
#s(approx (- (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (+ y -1/2))) y) z) (-.f64 y (*.f64 y (log.f64 y)))) |
#s(approx (/ 1 (/ 1 (+ (+ (* (log y) (- -1/2 y)) x) (- y z)))) (fma.f64 (log.f64 y) (neg.f64 y) y)) |
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) #s(approx (+ (* (log y) -1/2) x) (*.f64 (log.f64 y) #s(literal -1/2 binary64)))) z) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (+ y (+ (* (log y) (- -1/2 y)) x)) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y))) |
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 (log.f64 y) #s(literal -1/2 binary64) x)) z) |
| Outputs |
|---|
(-.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) z) (fma.f64 (log.f64 y) (neg.f64 y) y)) |
2 calls:
| 252.0ms | y |
| 17.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 74.8% | 3 | z |
| 87.9% | 2 | y |
Compiled 8 to 6 computations (25% saved)
| Inputs |
|---|
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 z (neg.f64 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 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (+ (* (log y) (- -1/2 y)) x) (- y z))) (/.f64 #s(literal -1 binary64) z))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (+ (* (log y) (- -1/2 y)) x) (- y z))) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 z (*.f64 z z)) (*.f64 z (neg.f64 z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (neg.f64 (*.f64 z (*.f64 z z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 z (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z))) z)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (/.f64 (*.f64 z (neg.f64 z)) (*.f64 z (*.f64 z z))) (*.f64 z z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (neg.f64 (*.f64 z (*.f64 z (*.f64 z z)))) (*.f64 z (*.f64 z z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z))) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (neg.f64 z) z) (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 z z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 z z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (neg.f64 (*.f64 z (*.f64 z (*.f64 z z)))) (*.f64 z z)) z)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (*.f64 (neg.f64 z) (*.f64 z (*.f64 z z))) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (*.f64 z z) (neg.f64 (*.f64 z (*.f64 z z)))) (*.f64 z (*.f64 z (*.f64 z z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 z (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (neg.f64 (*.f64 z (*.f64 z z))))) z)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (*.f64 (*.f64 z (*.f64 z z)) (/.f64 #s(literal 1 binary64) (*.f64 z z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (fma.f64 (*.f64 z (*.f64 z z)) (/.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal 0 binary64)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 z (/.f64 #s(literal 1 binary64) z))) (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 z z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z)))) (neg.f64 (*.f64 z (*.f64 z (*.f64 z (*.f64 z z))))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z))) (*.f64 z (neg.f64 (*.f64 z (*.f64 z (*.f64 z z))))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 (neg.f64 (*.f64 z (*.f64 z (*.f64 z z)))) (neg.f64 (*.f64 z (*.f64 z z)))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (neg.f64 z))) (neg.f64 (*.f64 z (*.f64 z z))))) (+.f64 #s(literal 0 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (*.f64 z z) (*.f64 (neg.f64 (*.f64 z (*.f64 z (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z (*.f64 z z)))))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z (*.f64 z z))))) (neg.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))))) (/.f64 #s(literal 1 binary64) z)) (*.f64 z (*.f64 z (*.f64 z z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (neg.f64 (*.f64 (/.f64 (*.f64 z (*.f64 z (*.f64 z z))) (*.f64 z z)) (*.f64 z (*.f64 z (*.f64 z z))))) (/.f64 #s(literal 1 binary64) z)) (*.f64 z (*.f64 z (*.f64 z z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (+ y (+ (* (log y) (- -1/2 y)) x)) (fma.f64 (log.f64 y) #s(literal -1/2 binary64) x))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (+ (* (* (log y) (+ (* y y) -1/4)) (neg (/ 1 (+ y -1/2)))) (+ x y)) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 (log.f64 y) (neg.f64 y) y)) |
#s(approx (- (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (+ y -1/2))) y) z) (-.f64 y (*.f64 y (log.f64 y)))) |
#s(approx (/ 1 (/ 1 (+ (+ (* (log y) (- -1/2 y)) x) (- y z)))) (fma.f64 (log.f64 y) (neg.f64 y) y)) |
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) #s(approx (+ (* (log y) -1/2) x) (*.f64 (log.f64 y) #s(literal -1/2 binary64)))) z) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (+ y (+ (* (log y) (- -1/2 y)) x)) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y))) |
| Outputs |
|---|
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 (log.f64 y) (neg.f64 y) y)) |
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) #s(approx (+ (* (log y) -1/2) x) (*.f64 (log.f64 y) #s(literal -1/2 binary64)))) z) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (+ y (+ (* (log y) (- -1/2 y)) x)) (fma.f64 (log.f64 y) #s(literal -1/2 binary64) x))) |
5 calls:
| 12.0ms | x |
| 12.0ms | (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) |
| 11.0ms | (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) |
| 10.0ms | y |
| 10.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 65.5% | 4 | z |
| 68.7% | 4 | x |
| 60.9% | 3 | (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) |
| 74.2% | 3 | (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) |
| 66.7% | 3 | y |
Compiled 40 to 28 computations (30% saved)
| Inputs |
|---|
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 z (neg.f64 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 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (+ (* (log y) (- -1/2 y)) x) (- y z))) (/.f64 #s(literal -1 binary64) z))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (+ (* (log y) (- -1/2 y)) x) (- y z))) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 z (*.f64 z z)) (*.f64 z (neg.f64 z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (neg.f64 (*.f64 z (*.f64 z z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 z (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z))) z)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (/.f64 (*.f64 z (neg.f64 z)) (*.f64 z (*.f64 z z))) (*.f64 z z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (neg.f64 (*.f64 z (*.f64 z (*.f64 z z)))) (*.f64 z (*.f64 z z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z))) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (neg.f64 z) z) (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 z z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 z z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (neg.f64 (*.f64 z (*.f64 z (*.f64 z z)))) (*.f64 z z)) z)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (*.f64 (neg.f64 z) (*.f64 z (*.f64 z z))) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (*.f64 z z) (neg.f64 (*.f64 z (*.f64 z z)))) (*.f64 z (*.f64 z (*.f64 z z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 z (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (neg.f64 (*.f64 z (*.f64 z z))))) z)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (*.f64 (*.f64 z (*.f64 z z)) (/.f64 #s(literal 1 binary64) (*.f64 z z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (fma.f64 (*.f64 z (*.f64 z z)) (/.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal 0 binary64)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 z (/.f64 #s(literal 1 binary64) z))) (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 z z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z)))) (neg.f64 (*.f64 z (*.f64 z (*.f64 z (*.f64 z z))))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z))) (*.f64 z (neg.f64 (*.f64 z (*.f64 z (*.f64 z z))))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 (neg.f64 (*.f64 z (*.f64 z (*.f64 z z)))) (neg.f64 (*.f64 z (*.f64 z z)))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (neg.f64 z))) (neg.f64 (*.f64 z (*.f64 z z))))) (+.f64 #s(literal 0 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (*.f64 z z) (*.f64 (neg.f64 (*.f64 z (*.f64 z (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z (*.f64 z z)))))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z (*.f64 z z))))) (neg.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))))) (/.f64 #s(literal 1 binary64) z)) (*.f64 z (*.f64 z (*.f64 z z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (neg.f64 (*.f64 (/.f64 (*.f64 z (*.f64 z (*.f64 z z))) (*.f64 z z)) (*.f64 z (*.f64 z (*.f64 z z))))) (/.f64 #s(literal 1 binary64) z)) (*.f64 z (*.f64 z (*.f64 z z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (+ y (+ (* (log y) (- -1/2 y)) x)) (fma.f64 (log.f64 y) #s(literal -1/2 binary64) x))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (+ (* (* (log y) (+ (* y y) -1/4)) (neg (/ 1 (+ y -1/2)))) (+ x y)) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 (log.f64 y) (neg.f64 y) y)) |
#s(approx (- (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (+ y -1/2))) y) z) (-.f64 y (*.f64 y (log.f64 y)))) |
#s(approx (/ 1 (/ 1 (+ (+ (* (log y) (- -1/2 y)) x) (- y z)))) (fma.f64 (log.f64 y) (neg.f64 y) y)) |
| Outputs |
|---|
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 (log.f64 y) (neg.f64 y) y)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (+ y (+ (* (log y) (- -1/2 y)) x)) (fma.f64 (log.f64 y) #s(literal -1/2 binary64) x))) |
3 calls:
| 13.0ms | y |
| 12.0ms | (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) |
| 10.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 62.3% | 2 | y |
| 59.2% | 5 | x |
| 64.5% | 3 | (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) |
Compiled 21 to 15 computations (28.6% saved)
| Inputs |
|---|
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 z (neg.f64 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 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (+ (* (log y) (- -1/2 y)) x) (- y z))) (/.f64 #s(literal -1 binary64) z))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (+ (* (log y) (- -1/2 y)) x) (- y z))) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 z (*.f64 z z)) (*.f64 z (neg.f64 z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (neg.f64 (*.f64 z (*.f64 z z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 z (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z))) z)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (/.f64 (*.f64 z (neg.f64 z)) (*.f64 z (*.f64 z z))) (*.f64 z z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (neg.f64 (*.f64 z (*.f64 z (*.f64 z z)))) (*.f64 z (*.f64 z z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z))) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (neg.f64 z) z) (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 z z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 z z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (neg.f64 (*.f64 z (*.f64 z (*.f64 z z)))) (*.f64 z z)) z)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (*.f64 (neg.f64 z) (*.f64 z (*.f64 z z))) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (*.f64 z z) (neg.f64 (*.f64 z (*.f64 z z)))) (*.f64 z (*.f64 z (*.f64 z z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 z (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (neg.f64 (*.f64 z (*.f64 z z))))) z)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (*.f64 (*.f64 z (*.f64 z z)) (/.f64 #s(literal 1 binary64) (*.f64 z z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (fma.f64 (*.f64 z (*.f64 z z)) (/.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal 0 binary64)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 z (/.f64 #s(literal 1 binary64) z))) (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 z z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z)))) (neg.f64 (*.f64 z (*.f64 z (*.f64 z (*.f64 z z))))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z))) (*.f64 z (neg.f64 (*.f64 z (*.f64 z (*.f64 z z))))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 (neg.f64 (*.f64 z (*.f64 z (*.f64 z z)))) (neg.f64 (*.f64 z (*.f64 z z)))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (neg.f64 z))) (neg.f64 (*.f64 z (*.f64 z z))))) (+.f64 #s(literal 0 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (*.f64 z z) (*.f64 (neg.f64 (*.f64 z (*.f64 z (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z (*.f64 z z)))))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z (*.f64 z z))))) (neg.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))))) (/.f64 #s(literal 1 binary64) z)) (*.f64 z (*.f64 z (*.f64 z z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (neg.f64 (*.f64 (/.f64 (*.f64 z (*.f64 z (*.f64 z z))) (*.f64 z z)) (*.f64 z (*.f64 z (*.f64 z z))))) (/.f64 #s(literal 1 binary64) z)) (*.f64 z (*.f64 z (*.f64 z z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (+ y (+ (* (log y) (- -1/2 y)) x)) (fma.f64 (log.f64 y) #s(literal -1/2 binary64) x))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (+ (* (* (log y) (+ (* y y) -1/4)) (neg (/ 1 (+ y -1/2)))) (+ x y)) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x))) |
| Outputs |
|---|
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (+ y (+ (* (log y) (- -1/2 y)) x)) (fma.f64 (log.f64 y) #s(literal -1/2 binary64) x))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z)) |
3 calls:
| 11.0ms | z |
| 9.0ms | (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) |
| 9.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 41.5% | 1 | y |
| 61.1% | 3 | z |
| 52.2% | 3 | (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) |
Compiled 21 to 15 computations (28.6% saved)
| Inputs |
|---|
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 z (neg.f64 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 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (+ (* (log y) (- -1/2 y)) x) (- y z))) (/.f64 #s(literal -1 binary64) z))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (+ (* (log y) (- -1/2 y)) x) (- y z))) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 z (*.f64 z z)) (*.f64 z (neg.f64 z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (neg.f64 (*.f64 z (*.f64 z z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 z (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z))) z)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (/.f64 (*.f64 z (neg.f64 z)) (*.f64 z (*.f64 z z))) (*.f64 z z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (neg.f64 (*.f64 z (*.f64 z (*.f64 z z)))) (*.f64 z (*.f64 z z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z))) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (neg.f64 z) z) (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 z z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 z z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (neg.f64 (*.f64 z (*.f64 z (*.f64 z z)))) (*.f64 z z)) z)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (*.f64 (neg.f64 z) (*.f64 z (*.f64 z z))) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (*.f64 z z) (neg.f64 (*.f64 z (*.f64 z z)))) (*.f64 z (*.f64 z (*.f64 z z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 z (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (neg.f64 (*.f64 z (*.f64 z z))))) z)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (*.f64 (*.f64 z (*.f64 z z)) (/.f64 #s(literal 1 binary64) (*.f64 z z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (fma.f64 (*.f64 z (*.f64 z z)) (/.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal 0 binary64)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 z (/.f64 #s(literal 1 binary64) z))) (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 z z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z)))) (neg.f64 (*.f64 z (*.f64 z (*.f64 z (*.f64 z z))))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z))) (*.f64 z (neg.f64 (*.f64 z (*.f64 z (*.f64 z z))))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 (neg.f64 (*.f64 z (*.f64 z (*.f64 z z)))) (neg.f64 (*.f64 z (*.f64 z z)))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (neg.f64 z))) (neg.f64 (*.f64 z (*.f64 z z))))) (+.f64 #s(literal 0 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (*.f64 z z) (*.f64 (neg.f64 (*.f64 z (*.f64 z (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z (*.f64 z z)))))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z (*.f64 z z))))) (neg.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))))) (/.f64 #s(literal 1 binary64) z)) (*.f64 z (*.f64 z (*.f64 z z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (neg.f64 (*.f64 (/.f64 (*.f64 z (*.f64 z (*.f64 z z))) (*.f64 z z)) (*.f64 z (*.f64 z (*.f64 z z))))) (/.f64 #s(literal 1 binary64) z)) (*.f64 z (*.f64 z (*.f64 z z))))) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (+ (* (log y) (- -1/2 y)) x) (- y z))) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z)) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (+ (* (log y) (- -1/2 y)) x) (- y z))) (/.f64 #s(literal 1 binary64) x))) |
4 calls:
| 10.0ms | z |
| 10.0ms | x |
| 9.0ms | (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) |
| 9.0ms | (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 50.3% | 3 | (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) |
| 51.3% | 3 | x |
| 34.9% | 2 | (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) |
| 49.3% | 3 | z |
Compiled 36 to 25 computations (30.6% saved)
Total -11.2b remaining (-25.1%)
Threshold costs -11.2b (-25.1%)
| Inputs |
|---|
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 z (neg.f64 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 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (+ (* (log y) (- -1/2 y)) x) (- y z))) (/.f64 #s(literal -1 binary64) z))) |
| Outputs |
|---|
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z)) |
5 calls:
| 5.0ms | (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) |
| 3.0ms | (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) |
| 3.0ms | y |
| 3.0ms | x |
| 2.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 30.0% | 1 | (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) |
| 30.0% | 1 | y |
| 30.0% | 1 | z |
| 30.0% | 1 | (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) |
| 30.0% | 1 | x |
Compiled 40 to 28 computations (30% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 15.337961664541538 | 15.713679948926156 |
| 0.0ms | -3.821971683299177e+127 | -3.53170400151212e+127 |
Compiled 18 to 16 computations (11.1% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -1.287062774087379e+61 | -2.1976978202333994e+60 |
| 0.0ms | -3.821971683299177e+127 | -3.53170400151212e+127 |
Compiled 18 to 16 computations (11.1% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 3.0ms | 2.6856839278502045e+122 | 2.913413228173961e+122 |
| 2.0ms | 32× | 0 | valid |
Compiled 68 to 48 computations (29.4% saved)
ival-sub: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)ival-log: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)ival-mult: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 14.0ms | 1.0921905673463011e+143 | 4.870622334748494e+147 |
| 9.0ms | 128× | 0 | valid |
Compiled 202 to 136 computations (32.7% saved)
ival-add: 3.0ms (47.1% of total)ival-log: 2.0ms (31.4% of total)ival-sub: 1.0ms (15.7% of total)ival-mult: 1.0ms (15.7% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 8.821273064163218e+28 | 3.575100009201274e+55 |
| 0.0ms | -1.6514489428223527e+150 | -3.5862935049514615e+145 |
Compiled 18 to 16 computations (11.1% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 251.86069625871366 | 263.56376609334524 |
| 0.0ms | -1.6514489428223527e+150 | -3.5862935049514615e+145 |
Compiled 18 to 16 computations (11.1% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 18.0ms | 5.969246986467196e+80 | 1.889316325322556e+83 |
| 17.0ms | -1.30153195541367e+19 | -0.0023085824070902543 |
| 19.0ms | 304× | 0 | valid |
Compiled 360 to 244 computations (32.2% saved)
ival-log: 4.0ms (34% of total)ival-sub: 3.0ms (25.5% of total)ival-add: 3.0ms (25.5% of total)ival-mult: 2.0ms (17% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 14.0ms | 1.1060105281781903e+46 | 3.575100009201274e+55 |
| 11.0ms | -3.729305975742174e+125 | -4.198345963570925e+123 |
| 16.0ms | 256× | 0 | valid |
Compiled 290 to 208 computations (28.3% saved)
ival-log: 3.0ms (29.7% of total)ival-add: 3.0ms (29.7% of total)ival-sub: 2.0ms (19.8% of total)ival-mult: 2.0ms (19.8% 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 |
| 34× | +-commutative_binary64 |
| 28× | sub-neg_binary64 |
| 18× | *-commutative_binary64 |
| 14× | neg-sub0_binary64 |
| 14× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 91 | 599 |
| 1 | 116 | 599 |
| 2 | 141 | 599 |
| 3 | 155 | 599 |
| 4 | 162 | 599 |
| 5 | 164 | 599 |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) |
(if (<=.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) #s(literal -35999999999999997896466319473845059871315184092124463619986867520640478100195037669959396204801197061762025689392387138357559296 binary64)) #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+.f64 y (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x))) (if (<=.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) #s(literal 31/2 binary64)) #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y (fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) z))) (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 (log.f64 y) #s(literal -1/2 binary64) x)) z))) |
(if (<=.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) #s(literal -35999999999999997896466319473845059871315184092124463619986867520640478100195037669959396204801197061762025689392387138357559296 binary64)) #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+.f64 y (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x))) (if (<=.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) #s(literal -9999999999999999493871352970740188669636450110134100730839040 binary64)) (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 (log.f64 y) (neg.f64 y) y)) z) (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 (log.f64 y) #s(literal -1/2 binary64) x)) z))) |
(if (<=.f64 y #s(literal 269999999999999983706818027843594638899178149397279331127251345644973214195858768787609486010795120401201413025793788870656 binary64)) (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 (log.f64 y) #s(literal -1/2 binary64) x)) z) (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 (log.f64 y) (neg.f64 y) y)) z)) |
(if (<=.f64 y #s(literal 519999999999999977689253649988389041122324820682368444530738351910816273730855940052686019102043024947579827647852134142022437830798194556010496 binary64)) (-.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) z) (fma.f64 (log.f64 y) (neg.f64 y) y))) |
(if (<=.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) #s(literal -999999999999999980835596172437374590573120014030318793091164810154100112203678582976298268616221151962702060266176005440567032331208403948233373515776 binary64)) #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 (log.f64 y) (neg.f64 y) y)) (if (<=.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) #s(literal 99999999999999991433150857216 binary64)) (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) #s(approx (+ (* (log y) -1/2) x) (*.f64 (log.f64 y) #s(literal -1/2 binary64)))) z) #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (+ y (+ (* (log y) (- -1/2 y)) x)) (fma.f64 (log.f64 y) #s(literal -1/2 binary64) x))))) |
(if (<=.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) #s(literal -999999999999999980835596172437374590573120014030318793091164810154100112203678582976298268616221151962702060266176005440567032331208403948233373515776 binary64)) #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 (log.f64 y) (neg.f64 y) y)) (if (<=.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) #s(literal 260 binary64)) #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z)) #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (+ y (+ (* (log y) (- -1/2 y)) x)) (fma.f64 (log.f64 y) #s(literal -1/2 binary64) x))))) |
(if (<=.f64 z #s(literal -10500000000000000000 binary64)) #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z)) (if (<=.f64 z #s(literal 850000000000000006808202079305946019187797140269608897265065270888982404183097344 binary64)) #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (+ y (+ (* (log y) (- -1/2 y)) x)) (fma.f64 (log.f64 y) #s(literal -1/2 binary64) x))) #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z)))) |
(if (<=.f64 x #s(literal -4199999999999999877025090587224429265625026590031957782850718093828465037896190377374426733201726509779744112888386884206592 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (+ (* (log y) (- -1/2 y)) x) (- y z))) (/.f64 #s(literal 1 binary64) x))) (if (<=.f64 x #s(literal 3799999999999999708394005805591011729793080023318528 binary64)) #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (+ (* (log y) (- -1/2 y)) x) (- y z))) (/.f64 #s(literal 1 binary64) x))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z)) |
| Outputs |
|---|
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) |
(-.f64 (+.f64 y (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)))) z) |
(if (<=.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) #s(literal -35999999999999997896466319473845059871315184092124463619986867520640478100195037669959396204801197061762025689392387138357559296 binary64)) #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+.f64 y (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x))) (if (<=.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) #s(literal 31/2 binary64)) #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y (fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) z))) (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 (log.f64 y) #s(literal -1/2 binary64) x)) z))) |
(if (<=.f64 (+.f64 y (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)))) #s(literal -35999999999999997896466319473845059871315184092124463619986867520640478100195037669959396204801197061762025689392387138357559296 binary64)) #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+.f64 y (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x))) (if (<=.f64 (+.f64 y (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)))) #s(literal 31/2 binary64)) #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y (fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) z))) (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 (log.f64 y) #s(literal -1/2 binary64) x)) z))) |
(if (<=.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) #s(literal -35999999999999997896466319473845059871315184092124463619986867520640478100195037669959396204801197061762025689392387138357559296 binary64)) #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+.f64 y (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x))) (if (<=.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) #s(literal -9999999999999999493871352970740188669636450110134100730839040 binary64)) (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 (log.f64 y) (neg.f64 y) y)) z) (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 (log.f64 y) #s(literal -1/2 binary64) x)) z))) |
(if (<=.f64 (+.f64 y (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)))) #s(literal -35999999999999997896466319473845059871315184092124463619986867520640478100195037669959396204801197061762025689392387138357559296 binary64)) #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+.f64 y (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x))) (if (<=.f64 (+.f64 y (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)))) #s(literal -9999999999999999493871352970740188669636450110134100730839040 binary64)) (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 (log.f64 y) (neg.f64 y) y)) z) (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 (log.f64 y) #s(literal -1/2 binary64) x)) z))) |
(if (<=.f64 y #s(literal 269999999999999983706818027843594638899178149397279331127251345644973214195858768787609486010795120401201413025793788870656 binary64)) (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 (log.f64 y) #s(literal -1/2 binary64) x)) z) (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 (log.f64 y) (neg.f64 y) y)) z)) |
(if (<=.f64 y #s(literal 519999999999999977689253649988389041122324820682368444530738351910816273730855940052686019102043024947579827647852134142022437830798194556010496 binary64)) (-.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) z) (fma.f64 (log.f64 y) (neg.f64 y) y))) |
(if (<=.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) #s(literal -999999999999999980835596172437374590573120014030318793091164810154100112203678582976298268616221151962702060266176005440567032331208403948233373515776 binary64)) #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 (log.f64 y) (neg.f64 y) y)) (if (<=.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) #s(literal 99999999999999991433150857216 binary64)) (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) #s(approx (+ (* (log y) -1/2) x) (*.f64 (log.f64 y) #s(literal -1/2 binary64)))) z) #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (+ y (+ (* (log y) (- -1/2 y)) x)) (fma.f64 (log.f64 y) #s(literal -1/2 binary64) x))))) |
(if (<=.f64 (+.f64 y (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)))) #s(literal -999999999999999980835596172437374590573120014030318793091164810154100112203678582976298268616221151962702060266176005440567032331208403948233373515776 binary64)) #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 (log.f64 y) (neg.f64 y) y)) (if (<=.f64 (+.f64 y (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)))) #s(literal 99999999999999991433150857216 binary64)) (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) #s(approx (+ (* (log y) -1/2) x) (*.f64 (log.f64 y) #s(literal -1/2 binary64)))) z) #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (+ y (+ (* (log y) (- -1/2 y)) x)) (fma.f64 (log.f64 y) #s(literal -1/2 binary64) x))))) |
(if (<=.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) #s(literal -999999999999999980835596172437374590573120014030318793091164810154100112203678582976298268616221151962702060266176005440567032331208403948233373515776 binary64)) #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 (log.f64 y) (neg.f64 y) y)) (if (<=.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) #s(literal 260 binary64)) #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z)) #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (+ y (+ (* (log y) (- -1/2 y)) x)) (fma.f64 (log.f64 y) #s(literal -1/2 binary64) x))))) |
(if (<=.f64 (+.f64 y (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)))) #s(literal -999999999999999980835596172437374590573120014030318793091164810154100112203678582976298268616221151962702060266176005440567032331208403948233373515776 binary64)) #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 (log.f64 y) (neg.f64 y) y)) (if (<=.f64 (+.f64 y (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)))) #s(literal 260 binary64)) #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z)) #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (+ y (+ (* (log y) (- -1/2 y)) x)) (fma.f64 (log.f64 y) #s(literal -1/2 binary64) x))))) |
(if (<=.f64 z #s(literal -10500000000000000000 binary64)) #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z)) (if (<=.f64 z #s(literal 850000000000000006808202079305946019187797140269608897265065270888982404183097344 binary64)) #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (+ y (+ (* (log y) (- -1/2 y)) x)) (fma.f64 (log.f64 y) #s(literal -1/2 binary64) x))) #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z)))) |
(if (<=.f64 x #s(literal -4199999999999999877025090587224429265625026590031957782850718093828465037896190377374426733201726509779744112888386884206592 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (+ (* (log y) (- -1/2 y)) x) (- y z))) (/.f64 #s(literal 1 binary64) x))) (if (<=.f64 x #s(literal 3799999999999999708394005805591011729793080023318528 binary64)) #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (+ (* (log y) (- -1/2 y)) x) (- y z))) (/.f64 #s(literal 1 binary64) x))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z)) |
| 12 810× | lower-fma.f64 |
| 12 810× | lower-fma.f32 |
| 10 362× | lower-fma.f64 |
| 10 362× | lower-fma.f32 |
| 9 014× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 36 |
| 0 | 16 | 36 |
| 1 | 79 | 36 |
| 2 | 699 | 36 |
| 0 | 8843 | 33 |
| 0 | 127 | 1274 |
| 1 | 415 | 1196 |
| 2 | 1319 | 1105 |
| 3 | 4703 | 1074 |
| 0 | 8535 | 991 |
| 0 | 557 | 7438 |
| 1 | 1773 | 6910 |
| 2 | 5693 | 6707 |
| 0 | 8197 | 6308 |
| 0 | 254 | 6019 |
| 1 | 819 | 5606 |
| 2 | 2539 | 5322 |
| 3 | 7613 | 5298 |
| 0 | 8765 | 4928 |
| 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 |
Compiled 542 to 227 computations (58.1% saved)
Compiled 660 to 170 computations (74.2% saved)
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