
Time bar (total: 10.6s)
| 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)
| 654.0ms | 8 253× | 0 | valid |
| 0.0ms | 2× | 1 | valid |
| 0.0ms | 1× | 2 | valid |
ival-log: 130.0ms (32.6% of total)ival-add: 89.0ms (22.3% of total)ival-sub: 86.0ms (21.5% of total)ival-mult: 79.0ms (19.8% of total)ival-true: 7.0ms (1.8% 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 |
| 40.0ms | 512× | 0 | valid |
Compiled 124 to 44 computations (64.5% saved)
ival-log: 7.0ms (33.8% of total)ival-add: 5.0ms (24.2% of total)ival-sub: 4.0ms (19.3% of total)ival-mult: 3.0ms (14.5% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)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 | 99.9% | (+.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 | 256× | 0 | valid |
Compiled 47 to 12 computations (74.5% 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)| 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 | |
|---|---|---|---|---|
| 5.0ms | x | @ | 0 | (- x (* (+ y 1/2) (log y))) |
| 4.0ms | y | @ | 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)))) |
(/.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 y #s(literal 1/2 binary64)) (log.f64 y) x))) (fma.f64 x (*.f64 x (*.f64 x x)) (+.f64 (pow.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (*.f64 (log.f64 y) x)) #s(literal 2 binary64))))) |
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(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)) #s(literal -1 binary64)) |
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(/.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)
18 alts after pruning (18 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 426 | 18 | 444 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 427 | 18 | 445 |
| Status | Accuracy | Program |
|---|---|---|
| 81.3% | (fma.f64 (fma.f64 y y #s(literal -1/4 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1/2 binary64))) (neg.f64 (log.f64 y))) (+.f64 x (-.f64 y z))) | |
| 61.2% | (fma.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y) (neg.f64 y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y) x) y)) (neg.f64 z)) | |
| 99.0% | (fma.f64 (+.f64 x (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y)) (*.f64 (-.f64 x (fma.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y) y)) (/.f64 #s(literal 1 binary64) (-.f64 x (fma.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y) y)))) (neg.f64 z)) | |
| ▶ | 53.3% | (/.f64 (fma.f64 #s(literal 1 binary64) (+.f64 y z) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)) (*.f64 (+.f64 y z) (-.f64 y z)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)) (+.f64 y z))) |
| 60.2% | (-.f64 (/.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 x (fma.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y) y))) z) | |
| ▶ | 99.7% | (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x))) 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) | |
| 99.8% | (-.f64 (+.f64 y x) (fma.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y) z)) | |
| ▶ | 99.8% | (-.f64 (+.f64 x (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y)) z) |
| 58.7% | (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 (log.f64 y) (neg.f64 y) y)) z) | |
| 72.6% | (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 (log.f64 y) #s(literal -1/2 binary64) x)) z) | |
| 98.8% | (*.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))))) | |
| 29.0% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 (log.f64 y) (neg.f64 y) y)) | |
| 75.3% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (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)) | |
| 83.4% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 x (/.f64 (-.f64 y (fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) z)) x) x)) | |
| ▶ | 68.9% | #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))) |
| 79.2% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) 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))))) | |
| ▶ | 32.0% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z)) |
Compiled 744 to 420 computations (43.5% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 320 | (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)) (+.f64 y z)) |
| ✓ | cost-diff | 320 | (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)) (*.f64 (+.f64 y z) (-.f64 y z))) |
| ✓ | cost-diff | 384 | (fma.f64 #s(literal 1 binary64) (+.f64 y z) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)) (*.f64 (+.f64 y z) (-.f64 y z)))) |
| ✓ | cost-diff | 1792 | (/.f64 (fma.f64 #s(literal 1 binary64) (+.f64 y z) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)) (*.f64 (+.f64 y z) (-.f64 y z)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)) (+.f64 y z))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)) |
| ✓ | cost-diff | 0 | (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x))) y) |
| ✓ | cost-diff | 0 | (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x))) y) z) |
| ✓ | cost-diff | 1408 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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) (-.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 | (neg.f64 z) |
| ✓ | cost-diff | 0 | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z)) |
| ✓ | cost-diff | 0 | (log.f64 y) |
| ✓ | cost-diff | 0 | (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) |
| ✓ | cost-diff | 0 | (+.f64 x (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y)) |
| ✓ | cost-diff | 0 | (-.f64 (+.f64 x (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y)) z) |
| 10 440× | lower-fma.f32 |
| 10 434× | lower-fma.f64 |
| 2 950× | lower-*.f32 |
| 2 944× | lower-*.f64 |
| 1 954× | lower-+.f32 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 292 |
| 0 | 54 | 268 |
| 1 | 116 | 266 |
| 2 | 275 | 262 |
| 3 | 963 | 262 |
| 4 | 3255 | 254 |
| 5 | 6174 | 254 |
| 0 | 8210 | 254 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (+.f64 x (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y)) z) |
(+.f64 x (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y)) |
x |
(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 |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z)) |
(neg.f64 z) |
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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x))) y) z) |
(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x))) y) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x))) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (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) |
(log.f64 y) |
y |
(-.f64 #s(literal -1/2 binary64) y) |
#s(literal -1/2 binary64) |
x |
z |
(/.f64 (fma.f64 #s(literal 1 binary64) (+.f64 y z) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)) (*.f64 (+.f64 y z) (-.f64 y z)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)) (+.f64 y z))) |
(fma.f64 #s(literal 1 binary64) (+.f64 y z) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)) (*.f64 (+.f64 y z) (-.f64 y z)))) |
#s(literal 1 binary64) |
(+.f64 y z) |
y |
z |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)) (*.f64 (+.f64 y z) (-.f64 y z))) |
(/.f64 #s(literal 1 binary64) (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) |
(log.f64 y) |
(-.f64 #s(literal -1/2 binary64) y) |
#s(literal -1/2 binary64) |
x |
(*.f64 (+.f64 y z) (-.f64 y z)) |
(-.f64 y z) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)) (+.f64 y z)) |
| Outputs |
|---|
(-.f64 (+.f64 x (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 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y)) |
x |
(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 |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z)) |
(neg.f64 z) |
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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x))) y) z) |
(+.f64 x (-.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) z)) |
(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x))) y) |
(+.f64 x (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (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) |
(log.f64 y) |
y |
(-.f64 #s(literal -1/2 binary64) y) |
#s(literal -1/2 binary64) |
x |
z |
(/.f64 (fma.f64 #s(literal 1 binary64) (+.f64 y z) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)) (*.f64 (+.f64 y z) (-.f64 y z)))) (*.f64 (/.f64 #s(literal 1 binary64) (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 #s(literal 1 binary64) (/.f64 (-.f64 y z) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)))) |
(fma.f64 #s(literal 1 binary64) (+.f64 y z) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)) (*.f64 (+.f64 y z) (-.f64 y z)))) |
(*.f64 (+.f64 y z) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 y z) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)))) |
#s(literal 1 binary64) |
(+.f64 y z) |
y |
z |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)) (*.f64 (+.f64 y z) (-.f64 y z))) |
(/.f64 (*.f64 (+.f64 y z) (-.f64 y z)) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)) |
(/.f64 #s(literal 1 binary64) (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) |
(log.f64 y) |
(-.f64 #s(literal -1/2 binary64) y) |
#s(literal -1/2 binary64) |
x |
(*.f64 (+.f64 y z) (-.f64 y z)) |
(-.f64 y z) |
(*.f64 (/.f64 #s(literal 1 binary64) (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)) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.6% | (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)) (+.f64 y z)) |
| ✓ | accuracy | 99.3% | (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)) |
| ✓ | accuracy | 80.1% | (/.f64 (fma.f64 #s(literal 1 binary64) (+.f64 y z) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)) (*.f64 (+.f64 y z) (-.f64 y z)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)) (+.f64 y z))) |
| ✓ | accuracy | 74.3% | (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)) (*.f64 (+.f64 y z) (-.f64 y z))) |
| ✓ | accuracy | 99.9% | (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x) |
| ✓ | accuracy | 99.9% | (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x))) y) |
| ✓ | accuracy | 99.7% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x))) |
| ✓ | accuracy | 99.3% | (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)) |
| ✓ | accuracy | 100.0% | (log.f64 y) |
| ✓ | accuracy | 99.9% | (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x) |
| ✓ | accuracy | 99.9% | (+.f64 y (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)) |
| ✓ | accuracy | 69.1% | #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% | (neg.f64 z) |
| ✓ | accuracy | 32.0% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z)) |
| ✓ | accuracy | 100.0% | (log.f64 y) |
| ✓ | accuracy | 100.0% | (-.f64 (+.f64 x (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y)) z) |
| ✓ | accuracy | 100.0% | (+.f64 x (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y)) |
| ✓ | accuracy | 99.8% | (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) |
| 90.0ms | 256× | 0 | valid |
Compiled 300 to 34 computations (88.7% saved)
ival-add: 29.0ms (48% of total)ival-mult: 11.0ms (18.2% of total)ival-sub: 10.0ms (16.6% of total)ival-div: 5.0ms (8.3% of total)ival-log: 4.0ms (6.6% of total)ival-neg: 1.0ms (1.7% 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 (+.f64 x (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y)) z)> |
#<alt (+.f64 x (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) y)> |
#<alt (log.f64 y)> |
#<alt #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z))> |
#<alt (neg.f64 z)> |
#<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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)))> |
#<alt (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x))) y) z)> |
#<alt (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x))) y)> |
#<alt (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x))> |
#<alt (/.f64 (fma.f64 #s(literal 1 binary64) (+.f64 y z) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)) (*.f64 (+.f64 y z) (-.f64 y z)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)) (+.f64 y z)))> |
#<alt (fma.f64 #s(literal 1 binary64) (+.f64 y z) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)) (*.f64 (+.f64 y z) (-.f64 y z))))> |
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)) (*.f64 (+.f64 y z) (-.f64 y z)))> |
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)) (+.f64 y 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)))))> |
#<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 (+ (* -1/2 (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 (* -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 (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 (* -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)> |
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#<alt (+ (* z (+ (* -1 (/ y (+ x (* -1 (* (log y) (+ 1/2 y)))))) (+ (* -1 (/ z (+ x (* -1 (* (log y) (+ 1/2 y)))))) (/ y (+ x (* -1 (* (log y) (+ 1/2 y)))))))) (/ (pow y 2) (+ x (* -1 (* (log y) (+ 1/2 y))))))> |
#<alt (+ (* z (+ (* -1 (/ y (+ x (* -1 (* (log y) (+ 1/2 y)))))) (+ (* -1 (/ z (+ x (* -1 (* (log y) (+ 1/2 y)))))) (/ y (+ x (* -1 (* (log y) (+ 1/2 y)))))))) (/ (pow y 2) (+ x (* -1 (* (log y) (+ 1/2 y))))))> |
#<alt (* -1 (/ (pow z 2) (+ x (* -1 (* (log y) (+ 1/2 y))))))> |
#<alt (* (pow z 2) (- (+ (* -1 (/ y (* z (+ x (* -1 (* (log y) (+ 1/2 y))))))) (/ y (* z (+ x (* -1 (* (log y) (+ 1/2 y))))))) (/ 1 (+ x (* -1 (* (log y) (+ 1/2 y)))))))> |
#<alt (* (pow z 2) (- (+ (* -1 (/ y (* z (+ x (* -1 (* (log y) (+ 1/2 y))))))) (+ (/ y (* z (+ x (* -1 (* (log y) (+ 1/2 y)))))) (/ (pow y 2) (* (pow z 2) (+ x (* -1 (* (log y) (+ 1/2 y)))))))) (/ 1 (+ x (* -1 (* (log y) (+ 1/2 y)))))))> |
#<alt (* (pow z 2) (- (+ (* -1 (/ y (* z (+ x (* -1 (* (log y) (+ 1/2 y))))))) (+ (/ y (* z (+ x (* -1 (* (log y) (+ 1/2 y)))))) (/ (pow y 2) (* (pow z 2) (+ x (* -1 (* (log y) (+ 1/2 y)))))))) (/ 1 (+ x (* -1 (* (log y) (+ 1/2 y)))))))> |
#<alt (* -1 (/ (pow z 2) (+ x (* -1 (* (log y) (+ 1/2 y))))))> |
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#<alt (/ z (+ x (* -1/2 (log y))))> |
#<alt (+ (* y (- (/ 1 (+ x (* -1/2 (log y)))) (* -1 (/ (* z (log y)) (pow (+ x (* -1/2 (log y))) 2))))) (/ z (+ x (* -1/2 (log y)))))> |
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#<alt (* -1 (/ (+ y z) (* (log y) (+ 1/2 y))))> |
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#<alt (+ (* -1 (/ (+ y z) (* (log y) (+ 1/2 y)))) (* x (- (* -1 (* x (+ (/ y (* (pow (log y) 3) (pow (+ 1/2 y) 3))) (/ z (* (pow (log y) 3) (pow (+ 1/2 y) 3)))))) (+ (/ y (* (pow (log y) 2) (pow (+ 1/2 y) 2))) (/ z (* (pow (log y) 2) (pow (+ 1/2 y) 2)))))))> |
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#<alt (+ (/ y (+ x (* -1 (* (log y) (+ 1/2 y))))) (/ z (+ x (* -1 (* (log y) (+ 1/2 y))))))> |
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#<alt (* z (+ (/ 1 (+ x (* -1 (* (log y) (+ 1/2 y))))) (/ y (* z (+ x (* -1 (* (log y) (+ 1/2 y))))))))> |
#<alt (/ z (+ x (* -1 (* (log y) (+ 1/2 y)))))> |
#<alt (* -1 (* z (- (* -1 (/ y (* z (+ x (* -1 (* (log y) (+ 1/2 y))))))) (/ 1 (+ x (* -1 (* (log y) (+ 1/2 y))))))))> |
#<alt (* -1 (* z (- (* -1 (/ y (* z (+ x (* -1 (* (log y) (+ 1/2 y))))))) (/ 1 (+ x (* -1 (* (log y) (+ 1/2 y))))))))> |
#<alt (* -1 (* z (- (* -1 (/ y (* z (+ x (* -1 (* (log y) (+ 1/2 y))))))) (/ 1 (+ x (* -1 (* (log y) (+ 1/2 y))))))))> |
117 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 30.0ms | y | @ | 0 | (log y) |
| 12.0ms | y | @ | -inf | (log y) |
| 5.0ms | y | @ | inf | (log y) |
| 5.0ms | y | @ | -inf | (/ (+ (* 1 (+ y z)) (* (/ 1 (+ (* (log y) (- -1/2 y)) x)) (* (+ y z) (- y z)))) (* (/ 1 (+ (* (log y) (- -1/2 y)) x)) (+ y z))) |
| 3.0ms | z | @ | inf | (/ (+ (* 1 (+ y z)) (* (/ 1 (+ (* (log y) (- -1/2 y)) x)) (* (+ y z) (- y z)))) (* (/ 1 (+ (* (log y) (- -1/2 y)) x)) (+ y z))) |
| 1× | egg-herbie |
| 6 028× | lower-fma.f64 |
| 6 028× | lower-fma.f32 |
| 5 440× | lower-*.f64 |
| 5 440× | lower-*.f32 |
| 4 218× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1141 | 15364 |
| 1 | 3837 | 13283 |
| 0 | 8463 | 12720 |
| 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 |
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(* 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))) |
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(* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) z) y)))) 1))) |
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(* 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))))) |
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x |
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(* x (+ 1 (+ (* -1 (/ (* (log y) (+ 1/2 y)) x)) (/ y x)))) |
(* x (+ 1 (+ (* -1 (/ (* (log y) (+ 1/2 y)) x)) (/ y x)))) |
x |
(* -1 (* x (- (* -1 (/ (+ y (* -1 (* (log y) (+ 1/2 y)))) x)) 1))) |
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(* -1 (* x (- (* -1 (/ (+ y (* -1 (* (log y) (+ 1/2 y)))) x)) 1))) |
(+ x (* -1/2 (log y))) |
(+ x (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y)))))) |
(+ x (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y)))))) |
(+ x (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y)))))) |
(* y (+ 1 (log (/ 1 y)))) |
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(* y (+ 1 (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y))))) |
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(* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)))) 1))) |
(* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)))) 1))) |
(* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)))) 1))) |
(* -1/2 (log y)) |
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(* -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))) |
(log y) |
(log y) |
(log y) |
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(* -1 (log (/ 1 y))) |
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x |
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(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1))) |
(- 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)))) |
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(* 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))))))))) |
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(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z))))) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
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x |
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(* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x)))) |
x |
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(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1))) |
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(- (+ 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)))) |
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(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y))))) |
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(- (+ (/ 1 (log (/ 1 y))) (/ z (* y (log (/ 1 y))))) (+ (/ 1/2 (* y (log (/ 1 y)))) (/ x (* y (pow (log (/ 1 y)) 2))))) |
(- (+ (* -1 (/ (* (+ x (* 1/2 (log (/ 1 y)))) (- (/ z (log (/ 1 y))) (+ (* 1/2 (/ 1 (log (/ 1 y)))) (/ x (pow (log (/ 1 y)) 2))))) (* (pow y 2) (log (/ 1 y))))) (+ (/ 1 (log (/ 1 y))) (/ z (* y (log (/ 1 y)))))) (+ (/ 1/2 (* y (log (/ 1 y)))) (/ x (* y (pow (log (/ 1 y)) 2))))) |
(- (+ (/ 1 (log (/ 1 y))) (+ (/ z (* y (log (/ 1 y)))) (/ (* (pow (+ x (* 1/2 (log (/ 1 y)))) 2) (- (/ z (log (/ 1 y))) (+ (* 1/2 (/ 1 (log (/ 1 y)))) (/ x (pow (log (/ 1 y)) 2))))) (* (pow y 3) (pow (log (/ 1 y)) 2))))) (+ (/ 1/2 (* y (log (/ 1 y)))) (+ (/ x (* y (pow (log (/ 1 y)) 2))) (/ (* (+ x (* 1/2 (log (/ 1 y)))) (- (/ z (log (/ 1 y))) (+ (* 1/2 (/ 1 (log (/ 1 y)))) (/ x (pow (log (/ 1 y)) 2))))) (* (pow y 2) (log (/ 1 y))))))) |
(/ -1 (+ (log -1) (* -1 (log (/ -1 y))))) |
(- (* -1 (/ (- (/ z (+ (log -1) (* -1 (log (/ -1 y))))) (* -1 (/ (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) (pow (+ (log -1) (* -1 (log (/ -1 y)))) 2)))) y)) (/ 1 (+ (log -1) (* -1 (log (/ -1 y)))))) |
(- (* -1 (/ (- (+ (/ z (+ (log -1) (* -1 (log (/ -1 y))))) (/ (* (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) (- (/ z (+ (log -1) (* -1 (log (/ -1 y))))) (* -1 (/ (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) (pow (+ (log -1) (* -1 (log (/ -1 y)))) 2))))) (* y (+ (log -1) (* -1 (log (/ -1 y))))))) (* -1 (/ (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) (pow (+ (log -1) (* -1 (log (/ -1 y)))) 2)))) y)) (/ 1 (+ (log -1) (* -1 (log (/ -1 y)))))) |
(- (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) 2) (- (/ z (+ (log -1) (* -1 (log (/ -1 y))))) (* -1 (/ (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) (pow (+ (log -1) (* -1 (log (/ -1 y)))) 2))))) (* y (pow (+ (log -1) (* -1 (log (/ -1 y)))) 2)))) (/ (* (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) (- (/ z (+ (log -1) (* -1 (log (/ -1 y))))) (* -1 (/ (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) (pow (+ (log -1) (* -1 (log (/ -1 y)))) 2))))) (+ (log -1) (* -1 (log (/ -1 y)))))) y)) (/ z (+ (log -1) (* -1 (log (/ -1 y)))))) (* -1 (/ (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) (pow (+ (log -1) (* -1 (log (/ -1 y)))) 2)))) y)) (/ 1 (+ (log -1) (* -1 (log (/ -1 y)))))) |
(* -1 (/ (+ y z) (* (log y) (+ 1/2 y)))) |
(+ (* -1 (* x (+ (/ y (* (pow (log y) 2) (pow (+ 1/2 y) 2))) (/ z (* (pow (log y) 2) (pow (+ 1/2 y) 2)))))) (* -1 (/ (+ y z) (* (log y) (+ 1/2 y))))) |
(+ (* -1 (/ (+ y z) (* (log y) (+ 1/2 y)))) (* x (- (* -1 (* x (+ (/ y (* (pow (log y) 3) (pow (+ 1/2 y) 3))) (/ z (* (pow (log y) 3) (pow (+ 1/2 y) 3)))))) (+ (/ y (* (pow (log y) 2) (pow (+ 1/2 y) 2))) (/ z (* (pow (log y) 2) (pow (+ 1/2 y) 2))))))) |
(+ (* -1 (/ (+ y z) (* (log y) (+ 1/2 y)))) (* x (- (* x (- (* -1 (* x (+ (/ y (* (pow (log y) 4) (pow (+ 1/2 y) 4))) (/ z (* (pow (log y) 4) (pow (+ 1/2 y) 4)))))) (+ (/ y (* (pow (log y) 3) (pow (+ 1/2 y) 3))) (/ z (* (pow (log y) 3) (pow (+ 1/2 y) 3)))))) (+ (/ y (* (pow (log y) 2) (pow (+ 1/2 y) 2))) (/ z (* (pow (log y) 2) (pow (+ 1/2 y) 2))))))) |
(/ (+ y z) x) |
(/ (+ y (+ z (/ (* (log y) (* (+ 1/2 y) (+ y z))) x))) x) |
(/ (- (+ y (+ z (/ (* (pow (log y) 2) (* (pow (+ 1/2 y) 2) (+ y z))) (pow x 2)))) (* -1 (/ (* (log y) (* (+ 1/2 y) (+ y z))) x))) x) |
(/ (- (+ y (+ z (/ (* (pow (log y) 3) (* (pow (+ 1/2 y) 3) (+ y z))) (pow x 3)))) (+ (* -1 (/ (* (log y) (* (+ 1/2 y) (+ y z))) x)) (* -1 (/ (* (pow (log y) 2) (* (pow (+ 1/2 y) 2) (+ y z))) (pow x 2))))) x) |
(/ (+ y z) x) |
(* -1 (/ (+ (* -1 (+ y z)) (* -1 (/ (* (log y) (* (+ 1/2 y) (+ y z))) x))) x)) |
(* -1 (/ (+ (* -1 (+ y z)) (* -1 (/ (- (/ (* (pow (log y) 2) (* (pow (+ 1/2 y) 2) (+ y z))) x) (* -1 (* (log y) (* (+ 1/2 y) (+ y z))))) x))) x)) |
(* -1 (/ (+ (* -1 (+ y z)) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow (log y) 3) (* (pow (+ 1/2 y) 3) (+ y z))) x)) (* (pow (log y) 2) (* (pow (+ 1/2 y) 2) (+ y z)))) x)) (* -1 (* (log y) (* (+ 1/2 y) (+ y z))))) x))) x)) |
(/ y (+ x (* -1 (* (log y) (+ 1/2 y))))) |
(+ (/ y (+ x (* -1 (* (log y) (+ 1/2 y))))) (/ z (+ x (* -1 (* (log y) (+ 1/2 y)))))) |
(+ (/ y (+ x (* -1 (* (log y) (+ 1/2 y))))) (/ z (+ x (* -1 (* (log y) (+ 1/2 y)))))) |
(+ (/ y (+ x (* -1 (* (log y) (+ 1/2 y))))) (/ z (+ x (* -1 (* (log y) (+ 1/2 y)))))) |
(/ z (+ x (* -1 (* (log y) (+ 1/2 y))))) |
(* z (+ (/ 1 (+ x (* -1 (* (log y) (+ 1/2 y))))) (/ y (* z (+ x (* -1 (* (log y) (+ 1/2 y)))))))) |
(* z (+ (/ 1 (+ x (* -1 (* (log y) (+ 1/2 y))))) (/ y (* z (+ x (* -1 (* (log y) (+ 1/2 y)))))))) |
(* z (+ (/ 1 (+ x (* -1 (* (log y) (+ 1/2 y))))) (/ y (* z (+ x (* -1 (* (log y) (+ 1/2 y)))))))) |
(/ z (+ x (* -1 (* (log y) (+ 1/2 y))))) |
(* -1 (* z (- (* -1 (/ y (* z (+ x (* -1 (* (log y) (+ 1/2 y))))))) (/ 1 (+ x (* -1 (* (log y) (+ 1/2 y)))))))) |
(* -1 (* z (- (* -1 (/ y (* z (+ x (* -1 (* (log y) (+ 1/2 y))))))) (/ 1 (+ x (* -1 (* (log y) (+ 1/2 y)))))))) |
(* -1 (* z (- (* -1 (/ y (* z (+ x (* -1 (* (log y) (+ 1/2 y))))))) (/ 1 (+ x (* -1 (* (log y) (+ 1/2 y)))))))) |
| 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 #s(literal 1 binary64) (-.f64 (-.f64 (/.f64 y x) (*.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 #s(literal 1 binary64) (-.f64 (-.f64 (/.f64 y x) (*.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 #s(literal 1 binary64) (-.f64 (-.f64 (/.f64 y x) (*.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))) |
(*.f64 (+.f64 (/.f64 (-.f64 y (fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) z)) (neg.f64 x)) #s(literal -1 binary64)) (neg.f64 x)) |
(* -1 (* x (- (* -1 (/ (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) x)) 1))) |
(*.f64 (+.f64 (/.f64 (-.f64 y (fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) z)) (neg.f64 x)) #s(literal -1 binary64)) (neg.f64 x)) |
(* -1 (* x (- (* -1 (/ (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) x)) 1))) |
(*.f64 (+.f64 (/.f64 (-.f64 y (fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) z)) (neg.f64 x)) #s(literal -1 binary64)) (neg.f64 x)) |
(- (+ x (* -1/2 (log y))) z) |
(-.f64 (fma.f64 (log.f64 y) #s(literal -1/2 binary64) x) z) |
(- (+ x (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y)))))) z) |
(-.f64 (+.f64 x (fma.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y)) (*.f64 (log.f64 y) #s(literal -1/2 binary64)))) z) |
(- (+ x (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y)))))) z) |
(-.f64 (+.f64 x (fma.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y)) (*.f64 (log.f64 y) #s(literal -1/2 binary64)))) z) |
(- (+ x (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y)))))) z) |
(-.f64 (+.f64 x (fma.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y)) (*.f64 (log.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 (fma.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 (log.f64 y) y)) (/.f64 x y)) (log.f64 y)) (/.f64 z y)))) |
(* y (- (+ 1 (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y)))) (/ z y))) |
(+.f64 y (*.f64 y (-.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 (log.f64 y) y)) (/.f64 x y)) (log.f64 y)) (/.f64 z y)))) |
(* y (- (+ 1 (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y)))) (/ z y))) |
(+.f64 y (*.f64 y (-.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 (log.f64 y) y)) (/.f64 x y)) (log.f64 y)) (/.f64 z y)))) |
(* -1 (* y (- (+ (log -1) (* -1 (log (/ -1 y)))) 1))) |
(fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (neg.f64 y) y) |
(* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) z) y)))) 1))) |
(fma.f64 (neg.f64 y) (-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) 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))) x) z) y)) y) |
(* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) z) y)))) 1))) |
(fma.f64 (neg.f64 y) (-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) 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))) x) z) y)) y) |
(* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) z) y)))) 1))) |
(fma.f64 (neg.f64 y) (-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) 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))) x) z) y)) y) |
(+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) |
(+.f64 (fma.f64 (+.f64 y #s(literal 1/2 binary64)) (neg.f64 (log.f64 y)) y) x) |
(+ 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)) |
(fma.f64 z (+.f64 (fma.f64 (log.f64 y) (neg.f64 (/.f64 (+.f64 y #s(literal 1/2 binary64)) z)) (/.f64 x z)) (/.f64 y z)) (neg.f64 z)) |
(* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z))) 1)) |
(fma.f64 z (+.f64 (fma.f64 (log.f64 y) (neg.f64 (/.f64 (+.f64 y #s(literal 1/2 binary64)) z)) (/.f64 x z)) (/.f64 y z)) (neg.f64 z)) |
(* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z))) 1)) |
(fma.f64 z (+.f64 (fma.f64 (log.f64 y) (neg.f64 (/.f64 (+.f64 y #s(literal 1/2 binary64)) z)) (/.f64 x z)) (/.f64 y z)) (neg.f64 z)) |
(* -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 (fma.f64 (+.f64 y #s(literal 1/2 binary64)) (neg.f64 (log.f64 y)) y) x) (neg.f64 z)) z)) |
(* -1 (* z (+ 1 (* -1 (/ (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z))))) |
(neg.f64 (fma.f64 z (/.f64 (+.f64 (fma.f64 (+.f64 y #s(literal 1/2 binary64)) (neg.f64 (log.f64 y)) y) x) (neg.f64 z)) z)) |
(* -1 (* z (+ 1 (* -1 (/ (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z))))) |
(neg.f64 (fma.f64 z (/.f64 (+.f64 (fma.f64 (+.f64 y #s(literal 1/2 binary64)) (neg.f64 (log.f64 y)) y) x) (neg.f64 z)) z)) |
(+ y (* -1 (* (log y) (+ 1/2 y)))) |
(fma.f64 (+.f64 y #s(literal 1/2 binary64)) (neg.f64 (log.f64 y)) y) |
(+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) |
(+.f64 (fma.f64 (+.f64 y #s(literal 1/2 binary64)) (neg.f64 (log.f64 y)) y) x) |
(+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) |
(+.f64 (fma.f64 (+.f64 y #s(literal 1/2 binary64)) (neg.f64 (log.f64 y)) y) x) |
(+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) |
(+.f64 (fma.f64 (+.f64 y #s(literal 1/2 binary64)) (neg.f64 (log.f64 y)) y) x) |
x |
(* x (+ 1 (+ (* -1 (/ (* (log y) (+ 1/2 y)) x)) (/ y x)))) |
(fma.f64 x (-.f64 (/.f64 y x) (*.f64 (log.f64 y) (/.f64 (+.f64 y #s(literal 1/2 binary64)) x))) x) |
(* x (+ 1 (+ (* -1 (/ (* (log y) (+ 1/2 y)) x)) (/ y x)))) |
(fma.f64 x (-.f64 (/.f64 y x) (*.f64 (log.f64 y) (/.f64 (+.f64 y #s(literal 1/2 binary64)) x))) x) |
(* x (+ 1 (+ (* -1 (/ (* (log y) (+ 1/2 y)) x)) (/ y x)))) |
(fma.f64 x (-.f64 (/.f64 y x) (*.f64 (log.f64 y) (/.f64 (+.f64 y #s(literal 1/2 binary64)) x))) x) |
x |
(* -1 (* x (- (* -1 (/ (+ y (* -1 (* (log y) (+ 1/2 y)))) x)) 1))) |
(neg.f64 (*.f64 x (+.f64 (/.f64 (fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) (neg.f64 y)) x) #s(literal -1 binary64)))) |
(* -1 (* x (- (* -1 (/ (+ y (* -1 (* (log y) (+ 1/2 y)))) x)) 1))) |
(neg.f64 (*.f64 x (+.f64 (/.f64 (fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) (neg.f64 y)) x) #s(literal -1 binary64)))) |
(* -1 (* x (- (* -1 (/ (+ y (* -1 (* (log y) (+ 1/2 y)))) x)) 1))) |
(neg.f64 (*.f64 x (+.f64 (/.f64 (fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) (neg.f64 y)) x) #s(literal -1 binary64)))) |
(+ x (* -1/2 (log y))) |
(fma.f64 (log.f64 y) #s(literal -1/2 binary64) x) |
(+ x (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y)))))) |
(+.f64 x (fma.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y)) (*.f64 (log.f64 y) #s(literal -1/2 binary64)))) |
(+ x (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y)))))) |
(+.f64 x (fma.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y)) (*.f64 (log.f64 y) #s(literal -1/2 binary64)))) |
(+ x (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y)))))) |
(+.f64 x (fma.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y)) (*.f64 (log.f64 y) #s(literal -1/2 binary64)))) |
(* 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))))) |
(fma.f64 y (-.f64 (fma.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 (log.f64 y) y)) (/.f64 x y)) (log.f64 y)) y) |
(* y (+ 1 (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y))))) |
(fma.f64 y (-.f64 (fma.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 (log.f64 y) y)) (/.f64 x y)) (log.f64 y)) y) |
(* y (+ 1 (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y))))) |
(fma.f64 y (-.f64 (fma.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 (log.f64 y) y)) (/.f64 x y)) (log.f64 y)) y) |
(* -1 (* y (- (+ (log -1) (* -1 (log (/ -1 y)))) 1))) |
(fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (neg.f64 y) y) |
(* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)))) 1))) |
(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))) x) y)) (neg.f64 y) y) |
(* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)))) 1))) |
(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))) x) y)) (neg.f64 y) y) |
(* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)))) 1))) |
(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))) x) y)) (neg.f64 y) y) |
(* -1/2 (log y)) |
(*.f64 (log.f64 y) #s(literal -1/2 binary64)) |
(+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y))))) |
(fma.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y)) (*.f64 (log.f64 y) #s(literal -1/2 binary64))) |
(+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y))))) |
(fma.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y)) (*.f64 (log.f64 y) #s(literal -1/2 binary64))) |
(+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y))))) |
(fma.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y)) (*.f64 (log.f64 y) #s(literal -1/2 binary64))) |
(* 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))))) |
(fma.f64 y (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 (log.f64 y))) y) (log.f64 y)) y) |
(* y (+ 1 (+ (log (/ 1 y)) (* 1/2 (/ (log (/ 1 y)) y))))) |
(fma.f64 y (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 (log.f64 y))) y) (log.f64 y)) y) |
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(+.f64 (/.f64 (+.f64 (/.f64 z (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y)))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) x) (/.f64 (+.f64 (/.f64 z (-.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) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) #s(literal 2 binary64)))) (*.f64 y (-.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) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) #s(literal 2 binary64))))) (neg.f64 y)) (/.f64 #s(literal -1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))))) |
(- (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) 2) (- (/ z (+ (log -1) (* -1 (log (/ -1 y))))) (* -1 (/ (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) (pow (+ (log -1) (* -1 (log (/ -1 y)))) 2))))) (* y (pow (+ (log -1) (* -1 (log (/ -1 y)))) 2)))) (/ (* (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) (- (/ z (+ (log -1) (* -1 (log (/ -1 y))))) (* -1 (/ (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) (pow (+ (log -1) (* -1 (log (/ -1 y)))) 2))))) (+ (log -1) (* -1 (log (/ -1 y)))))) y)) (/ z (+ (log -1) (* -1 (log (/ -1 y)))))) (* -1 (/ (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) (pow (+ (log -1) (* -1 (log (/ -1 y)))) 2)))) y)) (/ 1 (+ (log -1) (* -1 (log (/ -1 y)))))) |
(+.f64 (/.f64 (+.f64 (-.f64 (/.f64 z (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y)))) (/.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) x) #s(literal 2 binary64)) (/.f64 (+.f64 (/.f64 z (-.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) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) #s(literal 2 binary64)))) (*.f64 y (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) #s(literal 2 binary64)))) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) x) (+.f64 (/.f64 z (-.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) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) #s(literal 2 binary64))))) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y)))))) 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) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) #s(literal 2 binary64)))) (neg.f64 y)) (/.f64 #s(literal -1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))))) |
(* -1 (/ (+ y z) (* (log y) (+ 1/2 y)))) |
(/.f64 (-.f64 (neg.f64 y) z) (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))) |
(+ (* -1 (* x (+ (/ y (* (pow (log y) 2) (pow (+ 1/2 y) 2))) (/ z (* (pow (log y) 2) (pow (+ 1/2 y) 2)))))) (* -1 (/ (+ y z) (* (log y) (+ 1/2 y))))) |
(neg.f64 (fma.f64 x (+.f64 (/.f64 y (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (+.f64 y #s(literal 1/2 binary64))))) (/.f64 z (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (+.f64 y #s(literal 1/2 binary64)))))) (/.f64 (+.f64 y z) (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))))) |
(+ (* -1 (/ (+ y z) (* (log y) (+ 1/2 y)))) (* x (- (* -1 (* x (+ (/ y (* (pow (log y) 3) (pow (+ 1/2 y) 3))) (/ z (* (pow (log y) 3) (pow (+ 1/2 y) 3)))))) (+ (/ y (* (pow (log y) 2) (pow (+ 1/2 y) 2))) (/ z (* (pow (log y) 2) (pow (+ 1/2 y) 2))))))) |
(fma.f64 x (neg.f64 (fma.f64 x (+.f64 (/.f64 y (*.f64 (pow.f64 (log.f64 y) #s(literal 3 binary64)) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (+.f64 y #s(literal 1/2 binary64)))))) (/.f64 z (*.f64 (pow.f64 (log.f64 y) #s(literal 3 binary64)) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (+.f64 y #s(literal 1/2 binary64))))))) (+.f64 (/.f64 y (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (+.f64 y #s(literal 1/2 binary64))))) (/.f64 z (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (+.f64 y #s(literal 1/2 binary64)))))))) (/.f64 (-.f64 (neg.f64 y) z) (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))))) |
(+ (* -1 (/ (+ y z) (* (log y) (+ 1/2 y)))) (* x (- (* x (- (* -1 (* x (+ (/ y (* (pow (log y) 4) (pow (+ 1/2 y) 4))) (/ z (* (pow (log y) 4) (pow (+ 1/2 y) 4)))))) (+ (/ y (* (pow (log y) 3) (pow (+ 1/2 y) 3))) (/ z (* (pow (log y) 3) (pow (+ 1/2 y) 3)))))) (+ (/ y (* (pow (log y) 2) (pow (+ 1/2 y) 2))) (/ z (* (pow (log y) 2) (pow (+ 1/2 y) 2))))))) |
(fma.f64 x (-.f64 (fma.f64 x (neg.f64 (fma.f64 x (+.f64 (/.f64 y (*.f64 (pow.f64 (log.f64 y) #s(literal 4 binary64)) (pow.f64 (+.f64 y #s(literal 1/2 binary64)) #s(literal 4 binary64)))) (/.f64 z (*.f64 (pow.f64 (log.f64 y) #s(literal 4 binary64)) (pow.f64 (+.f64 y #s(literal 1/2 binary64)) #s(literal 4 binary64))))) (+.f64 (/.f64 y (*.f64 (pow.f64 (log.f64 y) #s(literal 3 binary64)) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (+.f64 y #s(literal 1/2 binary64)))))) (/.f64 z (*.f64 (pow.f64 (log.f64 y) #s(literal 3 binary64)) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (+.f64 y #s(literal 1/2 binary64))))))))) (neg.f64 (/.f64 y (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (+.f64 y #s(literal 1/2 binary64))))))) (/.f64 z (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (+.f64 y #s(literal 1/2 binary64)))))) (/.f64 (-.f64 (neg.f64 y) z) (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))))) |
(/ (+ y z) x) |
(/.f64 (+.f64 y z) x) |
(/ (+ y (+ z (/ (* (log y) (* (+ 1/2 y) (+ y z))) x))) x) |
(/.f64 (+.f64 y (fma.f64 (log.f64 y) (/.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (+.f64 y z)) x) z)) x) |
(/ (- (+ y (+ z (/ (* (pow (log y) 2) (* (pow (+ 1/2 y) 2) (+ y z))) (pow x 2)))) (* -1 (/ (* (log y) (* (+ 1/2 y) (+ y z))) x))) x) |
(/.f64 (+.f64 y (+.f64 (fma.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (+.f64 y #s(literal 1/2 binary64))) (+.f64 y z)) (*.f64 x x)) z) (/.f64 (*.f64 (log.f64 y) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (+.f64 y z))) x))) x) |
(/ (- (+ y (+ z (/ (* (pow (log y) 3) (* (pow (+ 1/2 y) 3) (+ y z))) (pow x 3)))) (+ (* -1 (/ (* (log y) (* (+ 1/2 y) (+ y z))) x)) (* -1 (/ (* (pow (log y) 2) (* (pow (+ 1/2 y) 2) (+ y z))) (pow x 2))))) x) |
(/.f64 (+.f64 y (-.f64 (fma.f64 (pow.f64 (log.f64 y) #s(literal 3 binary64)) (/.f64 (*.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (+.f64 y #s(literal 1/2 binary64)))) (+.f64 y z)) (*.f64 x (*.f64 x x))) z) (neg.f64 (fma.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (+.f64 y #s(literal 1/2 binary64))) (+.f64 y z)) (*.f64 x x)) (/.f64 (*.f64 (log.f64 y) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (+.f64 y z))) x))))) x) |
(/ (+ y z) x) |
(/.f64 (+.f64 y z) x) |
(* -1 (/ (+ (* -1 (+ y z)) (* -1 (/ (* (log y) (* (+ 1/2 y) (+ y z))) x))) x)) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 (log.f64 y) (/.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (+.f64 y z)) x) (+.f64 y z))) x)) |
(* -1 (/ (+ (* -1 (+ y z)) (* -1 (/ (- (/ (* (pow (log y) 2) (* (pow (+ 1/2 y) 2) (+ y z))) x) (* -1 (* (log y) (* (+ 1/2 y) (+ y z))))) x))) x)) |
(/.f64 (-.f64 (-.f64 (neg.f64 y) z) (/.f64 (fma.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (+.f64 y #s(literal 1/2 binary64))) (+.f64 y z)) x) (*.f64 (log.f64 y) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (+.f64 y z)))) x)) (neg.f64 x)) |
(* -1 (/ (+ (* -1 (+ y z)) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow (log y) 3) (* (pow (+ 1/2 y) 3) (+ y z))) x)) (* (pow (log y) 2) (* (pow (+ 1/2 y) 2) (+ y z)))) x)) (* -1 (* (log y) (* (+ 1/2 y) (+ y z))))) x))) x)) |
(/.f64 (-.f64 (-.f64 (neg.f64 y) z) (/.f64 (+.f64 (/.f64 (neg.f64 (fma.f64 (pow.f64 (log.f64 y) #s(literal 3 binary64)) (/.f64 (*.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (+.f64 y #s(literal 1/2 binary64)))) (+.f64 y z)) x) (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (+.f64 y #s(literal 1/2 binary64))) (+.f64 y z))))) (neg.f64 x)) (*.f64 (log.f64 y) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (+.f64 y z)))) x)) (neg.f64 x)) |
(/ y (+ x (* -1 (* (log y) (+ 1/2 y))))) |
(/.f64 y (fma.f64 (+.f64 y #s(literal 1/2 binary64)) (neg.f64 (log.f64 y)) x)) |
(+ (/ y (+ x (* -1 (* (log y) (+ 1/2 y))))) (/ z (+ x (* -1 (* (log y) (+ 1/2 y)))))) |
(+.f64 (/.f64 y (fma.f64 (+.f64 y #s(literal 1/2 binary64)) (neg.f64 (log.f64 y)) x)) (/.f64 z (fma.f64 (+.f64 y #s(literal 1/2 binary64)) (neg.f64 (log.f64 y)) x))) |
(+ (/ y (+ x (* -1 (* (log y) (+ 1/2 y))))) (/ z (+ x (* -1 (* (log y) (+ 1/2 y)))))) |
(+.f64 (/.f64 y (fma.f64 (+.f64 y #s(literal 1/2 binary64)) (neg.f64 (log.f64 y)) x)) (/.f64 z (fma.f64 (+.f64 y #s(literal 1/2 binary64)) (neg.f64 (log.f64 y)) x))) |
(+ (/ y (+ x (* -1 (* (log y) (+ 1/2 y))))) (/ z (+ x (* -1 (* (log y) (+ 1/2 y)))))) |
(+.f64 (/.f64 y (fma.f64 (+.f64 y #s(literal 1/2 binary64)) (neg.f64 (log.f64 y)) x)) (/.f64 z (fma.f64 (+.f64 y #s(literal 1/2 binary64)) (neg.f64 (log.f64 y)) x))) |
(/ z (+ x (* -1 (* (log y) (+ 1/2 y))))) |
(/.f64 z (fma.f64 (+.f64 y #s(literal 1/2 binary64)) (neg.f64 (log.f64 y)) x)) |
(* z (+ (/ 1 (+ x (* -1 (* (log y) (+ 1/2 y))))) (/ y (* z (+ x (* -1 (* (log y) (+ 1/2 y)))))))) |
(*.f64 z (+.f64 (/.f64 y (*.f64 z (fma.f64 (+.f64 y #s(literal 1/2 binary64)) (neg.f64 (log.f64 y)) x))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y #s(literal 1/2 binary64)) (neg.f64 (log.f64 y)) x)))) |
(* z (+ (/ 1 (+ x (* -1 (* (log y) (+ 1/2 y))))) (/ y (* z (+ x (* -1 (* (log y) (+ 1/2 y)))))))) |
(*.f64 z (+.f64 (/.f64 y (*.f64 z (fma.f64 (+.f64 y #s(literal 1/2 binary64)) (neg.f64 (log.f64 y)) x))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y #s(literal 1/2 binary64)) (neg.f64 (log.f64 y)) x)))) |
(* z (+ (/ 1 (+ x (* -1 (* (log y) (+ 1/2 y))))) (/ y (* z (+ x (* -1 (* (log y) (+ 1/2 y)))))))) |
(*.f64 z (+.f64 (/.f64 y (*.f64 z (fma.f64 (+.f64 y #s(literal 1/2 binary64)) (neg.f64 (log.f64 y)) x))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y #s(literal 1/2 binary64)) (neg.f64 (log.f64 y)) x)))) |
(/ z (+ x (* -1 (* (log y) (+ 1/2 y))))) |
(/.f64 z (fma.f64 (+.f64 y #s(literal 1/2 binary64)) (neg.f64 (log.f64 y)) x)) |
(* -1 (* z (- (* -1 (/ y (* z (+ x (* -1 (* (log y) (+ 1/2 y))))))) (/ 1 (+ x (* -1 (* (log y) (+ 1/2 y)))))))) |
(*.f64 (+.f64 (/.f64 y (neg.f64 (*.f64 z (fma.f64 (+.f64 y #s(literal 1/2 binary64)) (neg.f64 (log.f64 y)) x)))) (/.f64 #s(literal -1 binary64) (fma.f64 (+.f64 y #s(literal 1/2 binary64)) (neg.f64 (log.f64 y)) x))) (neg.f64 z)) |
(* -1 (* z (- (* -1 (/ y (* z (+ x (* -1 (* (log y) (+ 1/2 y))))))) (/ 1 (+ x (* -1 (* (log y) (+ 1/2 y)))))))) |
(*.f64 (+.f64 (/.f64 y (neg.f64 (*.f64 z (fma.f64 (+.f64 y #s(literal 1/2 binary64)) (neg.f64 (log.f64 y)) x)))) (/.f64 #s(literal -1 binary64) (fma.f64 (+.f64 y #s(literal 1/2 binary64)) (neg.f64 (log.f64 y)) x))) (neg.f64 z)) |
(* -1 (* z (- (* -1 (/ y (* z (+ x (* -1 (* (log y) (+ 1/2 y))))))) (/ 1 (+ x (* -1 (* (log y) (+ 1/2 y)))))))) |
(*.f64 (+.f64 (/.f64 y (neg.f64 (*.f64 z (fma.f64 (+.f64 y #s(literal 1/2 binary64)) (neg.f64 (log.f64 y)) x)))) (/.f64 #s(literal -1 binary64) (fma.f64 (+.f64 y #s(literal 1/2 binary64)) (neg.f64 (log.f64 y)) x))) (neg.f64 z)) |
| 1× | batch-egg-rewrite |
| 5 912× | lower-fma.f32 |
| 5 906× | lower-fma.f64 |
| 4 530× | lower-/.f32 |
| 4 524× | lower-/.f64 |
| 3 796× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 220 |
| 0 | 54 | 176 |
| 1 | 298 | 174 |
| 2 | 2953 | 174 |
| 0 | 9820 | 173 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (+.f64 x (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y)) z) |
(+.f64 x (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) y) |
(log.f64 y) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z)) |
(neg.f64 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)) |
(fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) 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 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x))) y) z) |
(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x))) y) |
(/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)) |
(/.f64 (fma.f64 #s(literal 1 binary64) (+.f64 y z) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)) (*.f64 (+.f64 y z) (-.f64 y z)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)) (+.f64 y z))) |
(fma.f64 #s(literal 1 binary64) (+.f64 y z) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)) (*.f64 (+.f64 y z) (-.f64 y z)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)) (*.f64 (+.f64 y z) (-.f64 y z))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)) (+.f64 y 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 (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) y) (+.f64 x (neg.f64 z))) |
(+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) (-.f64 x z)) |
(+.f64 (+.f64 y (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)) (neg.f64 z)) |
(+.f64 (neg.f64 z) (+.f64 y (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x))) |
(+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x) (-.f64 y z)) |
(+.f64 (-.f64 y z) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)) |
(+.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) (+.f64 x (-.f64 y z))) |
(+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) (-.f64 y z)) x) |
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(/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 z (*.f64 z z) (*.f64 y (*.f64 y y)))) (*.f64 (neg.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)) (fma.f64 z (-.f64 z y) (*.f64 y y)))) |
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 (+.f64 y z) (-.f64 y z))) (*.f64 (neg.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)) (-.f64 y z))) |
(/.f64 (*.f64 (fma.f64 z (*.f64 z z) (*.f64 y (*.f64 y y))) #s(literal 1 binary64)) (*.f64 (fma.f64 z (-.f64 z y) (*.f64 y y)) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x))) |
(/.f64 (*.f64 (fma.f64 z (*.f64 z z) (*.f64 y (*.f64 y y))) #s(literal -1 binary64)) (*.f64 (fma.f64 z (-.f64 z y) (*.f64 y y)) (neg.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)))) |
(/.f64 (*.f64 (*.f64 (+.f64 y z) (-.f64 y z)) #s(literal -1 binary64)) (*.f64 (-.f64 y z) (neg.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)))) |
(/.f64 (neg.f64 (+.f64 y z)) (neg.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x))) |
(/.f64 (neg.f64 (fma.f64 z (*.f64 z z) (*.f64 y (*.f64 y y)))) (neg.f64 (*.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x) (fma.f64 z (-.f64 z y) (*.f64 y y))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 y z) (-.f64 y z))) (neg.f64 (*.f64 (-.f64 y z) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 y z) (-.f64 y z))) (neg.f64 (*.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x) (-.f64 y z)))) |
(/.f64 (/.f64 (+.f64 y z) #s(literal 1 binary64)) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)) |
(/.f64 (+.f64 (pow.f64 (/.f64 y (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 z (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 y (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 z (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)) #s(literal 2 binary64)) (*.f64 (/.f64 y (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)) (/.f64 z (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)))))) |
(/.f64 (neg.f64 (/.f64 (*.f64 (+.f64 y z) (-.f64 y z)) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x))) (neg.f64 (-.f64 y z))) |
(/.f64 (-.f64 (pow.f64 (/.f64 y (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)) #s(literal 2 binary64)) (pow.f64 (/.f64 z (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)) #s(literal 2 binary64))) (/.f64 (-.f64 y z) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)) (fma.f64 z (*.f64 z z) (*.f64 y (*.f64 y y)))) (fma.f64 z (-.f64 z y) (*.f64 y y))) |
(/.f64 (*.f64 (+.f64 y z) #s(literal -1 binary64)) (neg.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x))) |
(/.f64 (*.f64 (fma.f64 z (*.f64 z z) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x))) (fma.f64 z (-.f64 z y) (*.f64 y y))) |
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (+.f64 y z))) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 z z) (*.f64 y (*.f64 y y))))) (neg.f64 (*.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x) (fma.f64 z (-.f64 z y) (*.f64 y y))))) |
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (fma.f64 z (*.f64 z z) (*.f64 y (*.f64 y y))))) (neg.f64 (*.f64 (neg.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)) (fma.f64 z (-.f64 z y) (*.f64 y y))))) |
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (*.f64 (+.f64 y z) (-.f64 y z)))) (neg.f64 (*.f64 (neg.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)) (-.f64 y z)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 z (*.f64 z z) (*.f64 y (*.f64 y y))) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 z (-.f64 z y) (*.f64 y y)) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 z (*.f64 z z) (*.f64 y (*.f64 y y))) #s(literal -1 binary64))) (neg.f64 (*.f64 (fma.f64 z (-.f64 z y) (*.f64 y y)) (neg.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 y z) (-.f64 y z)) #s(literal -1 binary64))) (neg.f64 (*.f64 (-.f64 y z) (neg.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 y z))) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)) |
(/.f64 (neg.f64 (/.f64 (+.f64 y z) #s(literal 1 binary64))) (neg.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 y (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 z (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 y (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 z (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)) #s(literal 2 binary64)) (*.f64 (/.f64 y (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)) (/.f64 z (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 y (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)) #s(literal 2 binary64)) (pow.f64 (/.f64 z (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)) #s(literal 2 binary64)))) (neg.f64 (/.f64 (-.f64 y z) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)))) |
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)) (fma.f64 z (*.f64 z z) (*.f64 y (*.f64 y y))))) (neg.f64 (fma.f64 z (-.f64 z y) (*.f64 y y)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 y z) #s(literal -1 binary64))) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)) |
(/.f64 (neg.f64 (*.f64 (fma.f64 z (*.f64 z z) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)))) (neg.f64 (fma.f64 z (-.f64 z y) (*.f64 y y)))) |
(/.f64 (+.f64 (pow.f64 (/.f64 z (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 y (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 z (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 y (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)) #s(literal 2 binary64)) (*.f64 (/.f64 z (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)))))) |
(pow.f64 (/.f64 (+.f64 y z) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)) #s(literal 1 binary64)) |
(pow.f64 (/.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 (+.f64 y z) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)) (+.f64 y z)) |
(*.f64 (+.f64 y z) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x))) |
(*.f64 (/.f64 (+.f64 y z) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)) #s(literal 1 binary64)) |
(*.f64 (/.f64 (+.f64 y z) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x))) |
(*.f64 (/.f64 (+.f64 y z) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x))) |
(*.f64 (/.f64 (+.f64 y z) (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))) #s(literal 3 binary64)))) (fma.f64 x (-.f64 x (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y))) (pow.f64 (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (+.f64 y z) (-.f64 (pow.f64 (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 x x))) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) (neg.f64 x))) |
Compiled 81 387 to 4 365 computations (94.6% saved)
24 alts after pruning (23 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 207 | 19 | 2 226 |
| Fresh | 9 | 4 | 13 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 0 | 0 |
| Total | 2 220 | 24 | 2 244 |
| Status | Accuracy | Program |
|---|---|---|
| 99.0% | (fma.f64 (+.f64 x (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y)) (*.f64 (-.f64 x (fma.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y) y)) (/.f64 #s(literal 1 binary64) (-.f64 x (fma.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y) y)))) (neg.f64 z)) | |
| 33.4% | (/.f64 #s(approx (+ (* 1 (+ y z)) (* (/ 1 (+ (* (log y) (- -1/2 y)) x)) (* (+ y z) (- y z)))) (fma.f64 y (neg.f64 (/.f64 #s(literal 1 binary64) (log.f64 y))) y)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)) (+.f64 y z))) | |
| 59.1% | (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (log y) (- -1/2 y)) x)) (/.f64 #s(literal 1 binary64) x))) 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) |
| 58.7% | (-.f64 #s(approx (+ (/ 1 (/ 1 (+ (* (log y) (- -1/2 y)) x))) y) (fma.f64 (log.f64 y) (neg.f64 y) y)) z) | |
| 72.6% | (-.f64 #s(approx (+ (/ 1 (/ 1 (+ (* (log y) (- -1/2 y)) x))) y) (fma.f64 (log.f64 y) #s(literal -1/2 binary64) x)) z) | |
| 29.0% | #s(approx (/ (+ (* 1 (+ y z)) (* (/ 1 (+ (* (log y) (- -1/2 y)) x)) (* (+ y z) (- y z)))) (* (/ 1 (+ (* (log y) (- -1/2 y)) x)) (+ y z))) (fma.f64 (log.f64 y) (neg.f64 y) y)) | |
| 49.2% | #s(approx (/ (+ (* 1 (+ y z)) (* (/ 1 (+ (* (log y) (- -1/2 y)) x)) (* (+ y z) (- y z)))) (* (/ 1 (+ (* (log y) (- -1/2 y)) x)) (+ y z))) (/.f64 (*.f64 (fma.f64 (log.f64 y) #s(literal -1/2 binary64) x) (-.f64 z (/.f64 (*.f64 z z) (fma.f64 (log.f64 y) #s(literal -1/2 binary64) x)))) z)) | |
| 79.3% | #s(approx (/ (+ (* 1 (+ y z)) (* (/ 1 (+ (* (log y) (- -1/2 y)) x)) (* (+ y z) (- y z)))) (* (/ 1 (+ (* (log y) (- -1/2 y)) x)) (+ y z))) (*.f64 z (-.f64 (/.f64 (fma.f64 (+.f64 y #s(literal 1/2 binary64)) (neg.f64 (log.f64 y)) x) z) (-.f64 #s(literal 1 binary64) (/.f64 y z))))) | |
| 75.3% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (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)) | |
| 83.4% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 x (/.f64 (-.f64 y (fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) z)) x) x)) | |
| 32.5% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.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 x (fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) y)))) | |
| 7.5% | #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))))) | |
| ▶ | 14.3% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z))) |
| 68.9% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))))) | |
| ▶ | 68.9% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) x)) |
| 68.8% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+.f64 y (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x))))) | |
| ▶ | 41.4% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+.f64 y #s(approx (+ (* (log y) (- -1/2 y)) x) (fma.f64 (log.f64 y) #s(literal -1/2 binary64) x)))) |
| 60.5% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+.f64 y #s(approx (+ (* (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)))) | |
| 29.0% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+.f64 y #s(approx (+ (* (log y) (- -1/2 y)) x) (neg.f64 (*.f64 y (log.f64 y)))))) | |
| ✓ | 32.0% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z)) |
| 41.1% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (+ y (+ (* (log y) (- -1/2 y)) x)) (fma.f64 (+.f64 y #s(literal 1/2 binary64)) (neg.f64 (log.f64 y)) y))) | |
| 42.2% | #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))) | |
| ▶ | 59.3% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (+ y (+ (* (log y) (- -1/2 y)) x)) (fma.f64 x (-.f64 (/.f64 y x) (*.f64 (log.f64 y) (/.f64 (+.f64 y #s(literal 1/2 binary64)) x))) x))) |
Compiled 804 to 470 computations (41.5% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | #s(approx (+ y (+ (* (log y) (- -1/2 y)) x)) (fma.f64 x (-.f64 (/.f64 y x) (*.f64 (log.f64 y) (/.f64 (+.f64 y #s(literal 1/2 binary64)) x))) x)) |
| ✓ | cost-diff | 0 | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (+ y (+ (* (log y) (- -1/2 y)) x)) (fma.f64 x (-.f64 (/.f64 y x) (*.f64 (log.f64 y) (/.f64 (+.f64 y #s(literal 1/2 binary64)) x))) x))) |
| ✓ | cost-diff | 384 | (-.f64 (/.f64 y x) (*.f64 (log.f64 y) (/.f64 (+.f64 y #s(literal 1/2 binary64)) x))) |
| ✓ | cost-diff | 1344 | (fma.f64 x (-.f64 (/.f64 y x) (*.f64 (log.f64 y) (/.f64 (+.f64 y #s(literal 1/2 binary64)) x))) x) |
| ✓ | cost-diff | 0 | (log.f64 y) |
| ✓ | cost-diff | 0 | (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) |
| ✓ | cost-diff | 0 | (+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) x) |
| ✓ | cost-diff | 0 | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) x)) |
| ✓ | cost-diff | 0 | (fma.f64 (log.f64 y) #s(literal -1/2 binary64) x) |
| ✓ | cost-diff | 0 | #s(approx (+ (* (log y) (- -1/2 y)) x) (fma.f64 (log.f64 y) #s(literal -1/2 binary64) x)) |
| ✓ | cost-diff | 0 | (+.f64 y #s(approx (+ (* (log y) (- -1/2 y)) x) (fma.f64 (log.f64 y) #s(literal -1/2 binary64) x))) |
| ✓ | cost-diff | 0 | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+.f64 y #s(approx (+ (* (log y) (- -1/2 y)) x) (fma.f64 (log.f64 y) #s(literal -1/2 binary64) x)))) |
| ✓ | cost-diff | 0 | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z))) |
| ✓ | cost-diff | 64 | (-.f64 #s(literal 0 binary64) (*.f64 z z)) |
| ✓ | cost-diff | 192 | (+.f64 #s(literal 0 binary64) z) |
| ✓ | cost-diff | 1024 | (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z)) |
| ✓ | cost-diff | 0 | (+.f64 (-.f64 x (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 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)))) |
| 8 216× | lower-fma.f32 |
| 8 210× | lower-fma.f64 |
| 2 164× | lower-*.f32 |
| 2 160× | lower-*.f64 |
| 1 492× | lower--.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 334 |
| 0 | 67 | 323 |
| 1 | 128 | 303 |
| 2 | 275 | 295 |
| 3 | 708 | 295 |
| 4 | 1930 | 283 |
| 5 | 4897 | 283 |
| 6 | 6690 | 283 |
| 0 | 8051 | 278 |
| 1× | iter limit |
| 1× | node limit |
| 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) (/.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 1/2) (log y))) y) z) (+.f64 y #s(approx (+ (* (log y) (- -1/2 y)) x) (fma.f64 (log.f64 y) #s(literal -1/2 binary64) x)))) |
(+.f64 y #s(approx (+ (* (log y) (- -1/2 y)) x) (fma.f64 (log.f64 y) #s(literal -1/2 binary64) x))) |
y |
#s(approx (+ (* (log y) (- -1/2 y)) x) (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(literal -1/2 binary64) |
x |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) x)) |
(+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) x) |
(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) |
x |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (+ y (+ (* (log y) (- -1/2 y)) x)) (fma.f64 x (-.f64 (/.f64 y x) (*.f64 (log.f64 y) (/.f64 (+.f64 y #s(literal 1/2 binary64)) x))) x))) |
#s(approx (+ y (+ (* (log y) (- -1/2 y)) x)) (fma.f64 x (-.f64 (/.f64 y x) (*.f64 (log.f64 y) (/.f64 (+.f64 y #s(literal 1/2 binary64)) x))) x)) |
(fma.f64 x (-.f64 (/.f64 y x) (*.f64 (log.f64 y) (/.f64 (+.f64 y #s(literal 1/2 binary64)) x))) x) |
x |
(-.f64 (/.f64 y x) (*.f64 (log.f64 y) (/.f64 (+.f64 y #s(literal 1/2 binary64)) x))) |
(/.f64 y x) |
y |
(*.f64 (log.f64 y) (/.f64 (+.f64 y #s(literal 1/2 binary64)) x)) |
(log.f64 y) |
(/.f64 (+.f64 y #s(literal 1/2 binary64)) x) |
(+.f64 y #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
| 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) (/.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 1/2) (log y))) y) z) (+.f64 y #s(approx (+ (* (log y) (- -1/2 y)) x) (fma.f64 (log.f64 y) #s(literal -1/2 binary64) x)))) |
(+.f64 y #s(approx (+ (* (log y) (- -1/2 y)) x) (fma.f64 (log.f64 y) #s(literal -1/2 binary64) x))) |
y |
#s(approx (+ (* (log y) (- -1/2 y)) x) (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(literal -1/2 binary64) |
x |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) 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 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) x) |
(+.f64 x (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) y) |
(log.f64 y) |
y |
(-.f64 #s(literal -1/2 binary64) y) |
#s(literal -1/2 binary64) |
x |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (+ y (+ (* (log y) (- -1/2 y)) x)) (fma.f64 x (-.f64 (/.f64 y x) (*.f64 (log.f64 y) (/.f64 (+.f64 y #s(literal 1/2 binary64)) x))) x))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (+ y (+ (* (log y) (- -1/2 y)) x)) (+.f64 x (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y)))) |
#s(approx (+ y (+ (* (log y) (- -1/2 y)) x)) (fma.f64 x (-.f64 (/.f64 y x) (*.f64 (log.f64 y) (/.f64 (+.f64 y #s(literal 1/2 binary64)) x))) x)) |
#s(approx (+ y (+ (* (log y) (- -1/2 y)) x)) (+.f64 x (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y))) |
(fma.f64 x (-.f64 (/.f64 y x) (*.f64 (log.f64 y) (/.f64 (+.f64 y #s(literal 1/2 binary64)) x))) x) |
(+.f64 x (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y)) |
x |
(-.f64 (/.f64 y x) (*.f64 (log.f64 y) (/.f64 (+.f64 y #s(literal 1/2 binary64)) x))) |
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y))) |
(/.f64 y x) |
y |
(*.f64 (log.f64 y) (/.f64 (+.f64 y #s(literal 1/2 binary64)) x)) |
(/.f64 (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))) x) |
(log.f64 y) |
(/.f64 (+.f64 y #s(literal 1/2 binary64)) x) |
(+.f64 y #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.5% | (*.f64 (log.f64 y) (/.f64 (+.f64 y #s(literal 1/2 binary64)) x)) |
| ✓ | accuracy | 89.9% | (-.f64 (/.f64 y x) (*.f64 (log.f64 y) (/.f64 (+.f64 y #s(literal 1/2 binary64)) x))) |
| ✓ | accuracy | 89.2% | (fma.f64 x (-.f64 (/.f64 y x) (*.f64 (log.f64 y) (/.f64 (+.f64 y #s(literal 1/2 binary64)) x))) x) |
| ✓ | accuracy | 69.1% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (+ y (+ (* (log y) (- -1/2 y)) x)) (fma.f64 x (-.f64 (/.f64 y x) (*.f64 (log.f64 y) (/.f64 (+.f64 y #s(literal 1/2 binary64)) x))) x))) |
| ✓ | accuracy | 100.0% | (log.f64 y) |
| ✓ | accuracy | 100.0% | (+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) x) |
| ✓ | accuracy | 99.8% | (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) |
| ✓ | accuracy | 69.1% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) x)) |
| ✓ | accuracy | 100.0% | (log.f64 y) |
| ✓ | accuracy | 99.9% | (+.f64 y #s(approx (+ (* (log y) (- -1/2 y)) x) (fma.f64 (log.f64 y) #s(literal -1/2 binary64) x))) |
| ✓ | accuracy | 69.1% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+.f64 y #s(approx (+ (* (log y) (- -1/2 y)) x) (fma.f64 (log.f64 y) #s(literal -1/2 binary64) x)))) |
| ✓ | accuracy | 65.5% | #s(approx (+ (* (log y) (- -1/2 y)) x) (fma.f64 (log.f64 y) #s(literal -1/2 binary64) x)) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal 0 binary64) z) |
| ✓ | accuracy | 100.0% | (*.f64 z z) |
| ✓ | accuracy | 52.0% | (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z)) |
| ✓ | accuracy | 32.0% | #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 | 100.0% | (/.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 | 99.9% | (+.f64 (-.f64 x (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64))))) y) |
| ✓ | accuracy | 99.8% | (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64)))) |
| 60.0ms | 256× | 0 | valid |
Compiled 248 to 38 computations (84.7% saved)
ival-add: 11.0ms (26.8% of total)ival-mult: 10.0ms (24.4% of total)ival-div: 8.0ms (19.5% of total)ival-sub: 7.0ms (17.1% of total)ival-log: 4.0ms (9.8% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 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 (/.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 1/2) (log y))) y) z) (+.f64 y #s(approx (+ (* (log y) (- -1/2 y)) x) (fma.f64 (log.f64 y) #s(literal -1/2 binary64) x))))> |
#<alt (+.f64 y #s(approx (+ (* (log y) (- -1/2 y)) x) (fma.f64 (log.f64 y) #s(literal -1/2 binary64) x)))> |
#<alt #s(approx (+ (* (log y) (- -1/2 y)) x) (fma.f64 (log.f64 y) #s(literal -1/2 binary64) x))> |
#<alt (fma.f64 (log.f64 y) #s(literal -1/2 binary64) x)> |
#<alt #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) x))> |
#<alt (+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) x)> |
#<alt (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y)> |
#<alt (log.f64 y)> |
#<alt (fma.f64 x (-.f64 (/.f64 y x) (*.f64 (log.f64 y) (/.f64 (+.f64 y #s(literal 1/2 binary64)) x))) x)> |
#<alt (-.f64 (/.f64 y x) (*.f64 (log.f64 y) (/.f64 (+.f64 y #s(literal 1/2 binary64)) x)))> |
#<alt #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (+ y (+ (* (log y) (- -1/2 y)) x)) (fma.f64 x (-.f64 (/.f64 y x) (*.f64 (log.f64 y) (/.f64 (+.f64 y #s(literal 1/2 binary64)) x))) x)))> |
#<alt #s(approx (+ y (+ (* (log y) (- -1/2 y)) x)) (fma.f64 x (-.f64 (/.f64 y x) (*.f64 (log.f64 y) (/.f64 (+.f64 y #s(literal 1/2 binary64)) x))) x))> |
#<alt (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64)))> |
#<alt (*.f64 z z)> |
#<alt (*.f64 (log.f64 y) (/.f64 (+.f64 y #s(literal 1/2 binary64)) x))> |
| 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)))> |
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#<alt (+ x (+ (* -1/2 (log y)) (* x (* y (- (/ 1 x) (/ (log y) x))))))> |
#<alt (+ x (+ (* -1/2 (log y)) (* x (* y (- (/ 1 x) (/ (log y) x))))))> |
#<alt (* x (* y (- (/ 1 x) (* -1 (/ (log (/ 1 y)) x)))))> |
#<alt (* y (+ (* 1/2 (/ (log (/ 1 y)) y)) (+ (* x (- (/ 1 x) (* -1 (/ (log (/ 1 y)) x)))) (/ x y))))> |
#<alt (* y (+ (* 1/2 (/ (log (/ 1 y)) y)) (+ (* x (- (/ 1 x) (* -1 (/ (log (/ 1 y)) x)))) (/ x y))))> |
#<alt (* y (+ (* 1/2 (/ (log (/ 1 y)) y)) (+ (* x (- (/ 1 x) (* -1 (/ (log (/ 1 y)) x)))) (/ x y))))> |
#<alt (* x (* y (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x)) (/ 1 x))))> |
#<alt (* -1 (* y (+ (* -1 (* x (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x)) (/ 1 x)))) (* -1 (/ (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)))))> |
#<alt (* -1 (* y (+ (* -1 (* x (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x)) (/ 1 x)))) (* -1 (/ (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)))))> |
#<alt (* -1 (* y (+ (* -1 (* x (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x)) (/ 1 x)))) (* -1 (/ (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)))))> |
#<alt (* -1/2 (/ (log y) x))> |
#<alt (- (* y (- (/ 1 x) (/ (log y) x))) (* 1/2 (/ (log y) x)))> |
#<alt (- (* y (- (/ 1 x) (/ (log y) x))) (* 1/2 (/ (log y) x)))> |
#<alt (- (* y (- (/ 1 x) (/ (log y) x))) (* 1/2 (/ (log y) x)))> |
#<alt (* y (- (/ 1 x) (* -1 (/ (log (/ 1 y)) x))))> |
#<alt (* y (- (+ (* 1/2 (/ (log (/ 1 y)) (* x y))) (/ 1 x)) (* -1 (/ (log (/ 1 y)) x))))> |
#<alt (* y (- (+ (* 1/2 (/ (log (/ 1 y)) (* x y))) (/ 1 x)) (* -1 (/ (log (/ 1 y)) x))))> |
#<alt (* y (- (+ (* 1/2 (/ (log (/ 1 y)) (* x y))) (/ 1 x)) (* -1 (/ (log (/ 1 y)) x))))> |
#<alt (* y (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x)) (/ 1 x)))> |
#<alt (* -1 (* y (- (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) (* x y))) (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x)) (/ 1 x)))))> |
#<alt (* -1 (* y (- (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) (* x y))) (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x)) (/ 1 x)))))> |
#<alt (* -1 (* y (- (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) (* x y))) (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x)) (/ 1 x)))))> |
#<alt (/ (- y (* (log y) (+ 1/2 y))) x)> |
#<alt (/ (- y (* (log y) (+ 1/2 y))) x)> |
#<alt (/ (- y (* (log y) (+ 1/2 y))) x)> |
#<alt (/ (- y (* (log y) (+ 1/2 y))) x)> |
#<alt (/ (- y (* (log y) (+ 1/2 y))) x)> |
#<alt (/ (- y (* (log y) (+ 1/2 y))) x)> |
#<alt (/ (- y (* (log y) (+ 1/2 y))) x)> |
#<alt (/ (- y (* (log y) (+ 1/2 y))) x)> |
#<alt (* -1 (/ (- (* -1 y) (* -1 (* (log y) (+ 1/2 y)))) x))> |
#<alt (* -1 (/ (- (* -1 y) (* -1 (* (log y) (+ 1/2 y)))) x))> |
#<alt (* -1 (/ (- (* -1 y) (* -1 (* (log y) (+ 1/2 y)))) x))> |
#<alt (* -1 (/ (- (* -1 y) (* -1 (* (log y) (+ 1/2 y)))) x))> |
#<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 2> |
#<alt (+ 2 (* -4 y))> |
#<alt (+ 2 (* y (- (* 8 y) 4)))> |
#<alt (+ 2 (* y (- (* y (+ 8 (* -16 y))) 4)))> |
#<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)) 1) y))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 y)) 1/2) y)) 1) y))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 y)) 1/4) y)) 1/2) y)) 1) y))> |
#<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 (* 1/2 (/ (log y) x))> |
#<alt (+ (* 1/2 (/ (log y) x)) (/ (* y (log y)) x))> |
#<alt (+ (* 1/2 (/ (log y) x)) (/ (* y (log y)) x))> |
#<alt (+ (* 1/2 (/ (log y) x)) (/ (* y (log y)) x))> |
#<alt (* -1 (/ (* y (log (/ 1 y))) x))> |
#<alt (* y (+ (* -1 (/ (log (/ 1 y)) x)) (* -1/2 (/ (log (/ 1 y)) (* x y)))))> |
#<alt (* y (+ (* -1 (/ (log (/ 1 y)) x)) (* -1/2 (/ (log (/ 1 y)) (* x y)))))> |
#<alt (* y (+ (* -1 (/ (log (/ 1 y)) x)) (* -1/2 (/ (log (/ 1 y)) (* x y)))))> |
#<alt (/ (* y (+ (log -1) (* -1 (log (/ -1 y))))) x)> |
#<alt (* -1 (* y (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x)) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) (* x y))))))> |
#<alt (* -1 (* y (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x)) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) (* x y))))))> |
#<alt (* -1 (* y (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x)) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) (* x y))))))> |
#<alt (/ (* (log y) (+ 1/2 y)) x)> |
#<alt (/ (* (log y) (+ 1/2 y)) x)> |
#<alt (/ (* (log y) (+ 1/2 y)) x)> |
#<alt (/ (* (log y) (+ 1/2 y)) x)> |
#<alt (/ (* (log y) (+ 1/2 y)) x)> |
#<alt (/ (* (log y) (+ 1/2 y)) x)> |
#<alt (/ (* (log y) (+ 1/2 y)) x)> |
#<alt (/ (* (log y) (+ 1/2 y)) x)> |
#<alt (/ (* (log y) (+ 1/2 y)) x)> |
#<alt (/ (* (log y) (+ 1/2 y)) x)> |
#<alt (/ (* (log y) (+ 1/2 y)) x)> |
#<alt (/ (* (log y) (+ 1/2 y)) x)> |
129 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 28.0ms | x | @ | inf | (- (/ y x) (* (log y) (/ (+ y 1/2) x))) |
| 9.0ms | x | @ | 0 | (- (/ y x) (* (log y) (/ (+ y 1/2) x))) |
| 4.0ms | x | @ | 0 | (+ (* x (- (/ y x) (* (log y) (/ (+ y 1/2) x)))) x) |
| 3.0ms | z | @ | -inf | (/ (- 0 (* z z)) (+ 0 z)) |
| 1.0ms | x | @ | -inf | (+ (* x (- (/ y x) (* (log y) (/ (+ y 1/2) x)))) x) |
| 1× | egg-herbie |
| 14 158× | lower-fma.f64 |
| 14 158× | lower-fma.f32 |
| 4 358× | lower-+.f64 |
| 4 358× | lower-+.f32 |
| 4 238× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 301 | 6718 |
| 1 | 960 | 6207 |
| 2 | 2873 | 5770 |
| 0 | 8225 | 5347 |
| 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)))) |
(* 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 (* (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 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
z |
z |
z |
z |
z |
z |
z |
z |
z |
z |
z |
z |
(* -1 (pow z 2)) |
(* -1 (pow z 2)) |
(* -1 (pow z 2)) |
(* -1 (pow z 2)) |
(* -1 (pow z 2)) |
(* -1 (pow z 2)) |
(* -1 (pow z 2)) |
(* -1 (pow z 2)) |
(* -1 (pow z 2)) |
(* -1 (pow z 2)) |
(* -1 (pow z 2)) |
(* -1 (pow z 2)) |
(- 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)))) |
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(+ x (* -1/2 (log y))) |
(+ x (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y)))))) |
(+ x (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y)))))) |
(+ x (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y)))))) |
(* 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) (+ 1/2 y)))) |
(+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) |
(+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) |
(+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) |
x |
(* x (+ 1 (+ (* -1 (/ (* (log y) (+ 1/2 y)) x)) (/ y x)))) |
(* x (+ 1 (+ (* -1 (/ (* (log y) (+ 1/2 y)) x)) (/ y x)))) |
(* x (+ 1 (+ (* -1 (/ (* (log y) (+ 1/2 y)) x)) (/ y x)))) |
x |
(* -1 (* x (- (* -1 (/ (+ y (* -1 (* (log y) (+ 1/2 y)))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ y (* -1 (* (log y) (+ 1/2 y)))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ y (* -1 (* (log y) (+ 1/2 y)))) x)) 1))) |
2 |
(+ 2 (* -4 y)) |
(+ 2 (* y (- (* 8 y) 4))) |
(+ 2 (* y (- (* y (+ 8 (* -16 y))) 4))) |
(/ 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)) 1) y)) |
(* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 y)) 1/2) y)) 1) y)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 y)) 1/4) y)) 1/2) y)) 1) y)) |
(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) |
(* 1/2 (/ (log y) x)) |
(+ (* 1/2 (/ (log y) x)) (/ (* y (log y)) x)) |
(+ (* 1/2 (/ (log y) x)) (/ (* y (log y)) x)) |
(+ (* 1/2 (/ (log y) x)) (/ (* y (log y)) x)) |
(* -1 (/ (* y (log (/ 1 y))) x)) |
(* y (+ (* -1 (/ (log (/ 1 y)) x)) (* -1/2 (/ (log (/ 1 y)) (* x y))))) |
(* y (+ (* -1 (/ (log (/ 1 y)) x)) (* -1/2 (/ (log (/ 1 y)) (* x y))))) |
(* y (+ (* -1 (/ (log (/ 1 y)) x)) (* -1/2 (/ (log (/ 1 y)) (* x y))))) |
(/ (* y (+ (log -1) (* -1 (log (/ -1 y))))) x) |
(* -1 (* y (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x)) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) (* x y)))))) |
(* -1 (* y (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x)) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) (* x y)))))) |
(* -1 (* y (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x)) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) (* x y)))))) |
(/ (* (log y) (+ 1/2 y)) x) |
(/ (* (log y) (+ 1/2 y)) x) |
(/ (* (log y) (+ 1/2 y)) x) |
(/ (* (log y) (+ 1/2 y)) x) |
(/ (* (log y) (+ 1/2 y)) x) |
(/ (* (log y) (+ 1/2 y)) x) |
(/ (* (log y) (+ 1/2 y)) x) |
(/ (* (log y) (+ 1/2 y)) x) |
(/ (* (log y) (+ 1/2 y)) x) |
(/ (* (log y) (+ 1/2 y)) x) |
(/ (* (log y) (+ 1/2 y)) x) |
(/ (* (log y) (+ 1/2 y)) x) |
| 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 (neg.f64 (log.f64 y)) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) y)))) |
(* y (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y)))) |
(*.f64 y (*.f64 (neg.f64 (log.f64 y)) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) y)))) |
(* y (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y)))) |
(*.f64 y (*.f64 (neg.f64 (log.f64 y)) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) y)))) |
(* 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 (* (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 x (*.f64 (log.f64 y) (/.f64 (-.f64 #s(literal -1/2 binary64) y) x)) x) |
(* x (+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x)))) |
(fma.f64 x (*.f64 (log.f64 y) (/.f64 (-.f64 #s(literal -1/2 binary64) y) x)) x) |
(* x (+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x)))) |
(fma.f64 x (*.f64 (log.f64 y) (/.f64 (-.f64 #s(literal -1/2 binary64) y) x)) x) |
x |
(* -1 (* x (- (/ (* (log y) (+ 1/2 y)) x) 1))) |
(fma.f64 x (*.f64 (log.f64 y) (/.f64 (-.f64 #s(literal -1/2 binary64) y) x)) x) |
(* -1 (* x (- (/ (* (log y) (+ 1/2 y)) x) 1))) |
(fma.f64 x (*.f64 (log.f64 y) (/.f64 (-.f64 #s(literal -1/2 binary64) y) x)) x) |
(* -1 (* x (- (/ (* (log y) (+ 1/2 y)) x) 1))) |
(fma.f64 x (*.f64 (log.f64 y) (/.f64 (-.f64 #s(literal -1/2 binary64) y) 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))) |
(*.f64 (log.f64 y) (neg.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 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.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 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.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 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.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 y (-.f64 z (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x))) |
(- (+ x y) (+ z (* (log y) (+ 1/2 y)))) |
(-.f64 y (-.f64 z (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x))) |
(- (+ x y) (+ z (* (log y) (+ 1/2 y)))) |
(-.f64 y (-.f64 z (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) 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 (/ 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 (fma.f64 (log.f64 y) #s(literal -1/2 binary64) x) z) |
(- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y)))) |
(-.f64 y (-.f64 z (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x))) |
(- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y)))) |
(-.f64 y (-.f64 z (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x))) |
(- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y)))) |
(-.f64 y (-.f64 z (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)) (/ 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 (fma.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64))) 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 (-.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64))) 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 (-.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64))) 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))) |
(+.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 z (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 z (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 z (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x))) |
(* -1 z) |
(neg.f64 z) |
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z)))) |
(*.f64 z (+.f64 (/.f64 x z) (-.f64 (/.f64 y z) (fma.f64 (log.f64 y) (/.f64 (+.f64 #s(literal 1/2 binary64) y) z) #s(literal 1 binary64))))) |
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z)))) |
(*.f64 z (+.f64 (/.f64 x z) (-.f64 (/.f64 y z) (fma.f64 (log.f64 y) (/.f64 (+.f64 #s(literal 1/2 binary64) y) z) #s(literal 1 binary64))))) |
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z)))) |
(*.f64 z (+.f64 (/.f64 x z) (-.f64 (/.f64 y z) (fma.f64 (log.f64 y) (/.f64 (+.f64 #s(literal 1/2 binary64) y) z) #s(literal 1 binary64))))) |
(* -1 z) |
(neg.f64 z) |
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z))))) |
(fma.f64 z (/.f64 (+.f64 y (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)) z) (neg.f64 z)) |
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z))))) |
(fma.f64 z (/.f64 (+.f64 y (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)) z) (neg.f64 z)) |
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z))))) |
(fma.f64 z (/.f64 (+.f64 y (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)) z) (neg.f64 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 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) x) x) |
(* x (- (+ 1 (/ y x)) (/ (* (log y) (+ 1/2 y)) x))) |
(fma.f64 x (/.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) x) x) |
(* x (- (+ 1 (/ y x)) (/ (* (log y) (+ 1/2 y)) x))) |
(fma.f64 x (/.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) x) x) |
x |
(* -1 (* x (- (* -1 (/ (- y (* (log y) (+ 1/2 y))) x)) 1))) |
(fma.f64 x (/.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) x) x) |
(* -1 (* x (- (* -1 (/ (- y (* (log y) (+ 1/2 y))) x)) 1))) |
(fma.f64 x (/.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) x) x) |
(* -1 (* x (- (* -1 (/ (- y (* (log y) (+ 1/2 y))) x)) 1))) |
(fma.f64 x (/.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) x) 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))) |
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(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 (fma.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64))) 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 (-.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64))) 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 (-.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64))) 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))) |
(+.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 z (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 z (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 z (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x))) |
(* -1 z) |
(neg.f64 z) |
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z)))) |
(*.f64 z (+.f64 (/.f64 x z) (-.f64 (/.f64 y z) (fma.f64 (log.f64 y) (/.f64 (+.f64 #s(literal 1/2 binary64) y) z) #s(literal 1 binary64))))) |
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z)))) |
(*.f64 z (+.f64 (/.f64 x z) (-.f64 (/.f64 y z) (fma.f64 (log.f64 y) (/.f64 (+.f64 #s(literal 1/2 binary64) y) z) #s(literal 1 binary64))))) |
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z)))) |
(*.f64 z (+.f64 (/.f64 x z) (-.f64 (/.f64 y z) (fma.f64 (log.f64 y) (/.f64 (+.f64 #s(literal 1/2 binary64) y) z) #s(literal 1 binary64))))) |
(* -1 z) |
(neg.f64 z) |
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z))))) |
(fma.f64 z (/.f64 (+.f64 y (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)) z) (neg.f64 z)) |
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z))))) |
(fma.f64 z (/.f64 (+.f64 y (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)) z) (neg.f64 z)) |
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z))))) |
(fma.f64 z (/.f64 (+.f64 y (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)) z) (neg.f64 z)) |
(+ x (* -1/2 (log y))) |
(fma.f64 (log.f64 y) #s(literal -1/2 binary64) x) |
(+ x (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y)))))) |
(+.f64 y (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)) |
(+ x (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y)))))) |
(+.f64 y (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)) |
(+ x (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y)))))) |
(+.f64 y (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)) |
(* 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))))) |
(fma.f64 y (fma.f64 (neg.f64 (log.f64 y)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 x y)) y) |
(* y (+ 1 (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y))))) |
(fma.f64 y (fma.f64 (neg.f64 (log.f64 y)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 x y)) y) |
(* y (+ 1 (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y))))) |
(fma.f64 y (fma.f64 (neg.f64 (log.f64 y)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 x y)) 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))) y) |
(* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)))) 1))) |
(*.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 (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)))) 1))) |
(*.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 (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)))) 1))) |
(*.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)))))) |
(+ y (* -1 (* (log y) (+ 1/2 y)))) |
(fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) |
(+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) |
(+.f64 y (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)) |
(+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) |
(+.f64 y (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)) |
(+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) |
(+.f64 y (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)) |
x |
(* x (+ 1 (+ (* -1 (/ (* (log y) (+ 1/2 y)) x)) (/ y x)))) |
(fma.f64 x (/.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) x) x) |
(* x (+ 1 (+ (* -1 (/ (* (log y) (+ 1/2 y)) x)) (/ y x)))) |
(fma.f64 x (/.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) x) x) |
(* x (+ 1 (+ (* -1 (/ (* (log y) (+ 1/2 y)) x)) (/ y x)))) |
(fma.f64 x (/.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) x) x) |
x |
(* -1 (* x (- (* -1 (/ (+ y (* -1 (* (log y) (+ 1/2 y)))) x)) 1))) |
(fma.f64 x (/.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) x) x) |
(* -1 (* x (- (* -1 (/ (+ y (* -1 (* (log y) (+ 1/2 y)))) x)) 1))) |
(fma.f64 x (/.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) x) x) |
(* -1 (* x (- (* -1 (/ (+ y (* -1 (* (log y) (+ 1/2 y)))) x)) 1))) |
(fma.f64 x (/.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) x) x) |
2 |
#s(literal 2 binary64) |
(+ 2 (* -4 y)) |
(fma.f64 y #s(literal -4 binary64) #s(literal 2 binary64)) |
(+ 2 (* y (- (* 8 y) 4))) |
(fma.f64 y (fma.f64 y #s(literal 8 binary64) #s(literal -4 binary64)) #s(literal 2 binary64)) |
(+ 2 (* y (- (* y (+ 8 (* -16 y))) 4))) |
(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 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/4 binary64) y)) y)) y) |
(/ (- (+ 1 (/ 1/4 (pow y 2))) (+ (* 1/2 (/ 1 y)) (* 1/8 (/ 1 (pow y 3))))) y) |
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/4 binary64) 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)) 1) y)) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) y)) y) |
(* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 y)) 1/2) y)) 1) y)) |
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/4 binary64) y)) y)) (neg.f64 y)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 y)) 1/4) y)) 1/2) y)) 1) y)) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/8 binary64) y)) y)) y)) (neg.f64 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) |
(* 1/2 (/ (log y) x)) |
(*.f64 (log.f64 y) (/.f64 #s(literal 1/2 binary64) x)) |
(+ (* 1/2 (/ (log y) x)) (/ (* y (log y)) x)) |
(*.f64 (log.f64 y) (/.f64 (+.f64 #s(literal 1/2 binary64) y) x)) |
(+ (* 1/2 (/ (log y) x)) (/ (* y (log y)) x)) |
(*.f64 (log.f64 y) (/.f64 (+.f64 #s(literal 1/2 binary64) y) x)) |
(+ (* 1/2 (/ (log y) x)) (/ (* y (log y)) x)) |
(*.f64 (log.f64 y) (/.f64 (+.f64 #s(literal 1/2 binary64) y) x)) |
(* -1 (/ (* y (log (/ 1 y))) x)) |
(*.f64 (log.f64 y) (/.f64 y x)) |
(* y (+ (* -1 (/ (log (/ 1 y)) x)) (* -1/2 (/ (log (/ 1 y)) (* x y))))) |
(*.f64 y (*.f64 (/.f64 (log.f64 y) (neg.f64 x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) y)))) |
(* y (+ (* -1 (/ (log (/ 1 y)) x)) (* -1/2 (/ (log (/ 1 y)) (* x y))))) |
(*.f64 y (*.f64 (/.f64 (log.f64 y) (neg.f64 x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) y)))) |
(* y (+ (* -1 (/ (log (/ 1 y)) x)) (* -1/2 (/ (log (/ 1 y)) (* x y))))) |
(*.f64 y (*.f64 (/.f64 (log.f64 y) (neg.f64 x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) y)))) |
(/ (* y (+ (log -1) (* -1 (log (/ -1 y))))) x) |
(/.f64 (*.f64 y (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y)))) x) |
(* -1 (* y (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x)) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) (* x y)))))) |
(*.f64 y (neg.f64 (*.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) x) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) y))))) |
(* -1 (* y (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x)) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) (* x y)))))) |
(*.f64 y (neg.f64 (*.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) x) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) y))))) |
(* -1 (* y (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x)) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) (* x y)))))) |
(*.f64 y (neg.f64 (*.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) x) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) y))))) |
(/ (* (log y) (+ 1/2 y)) x) |
(*.f64 (log.f64 y) (/.f64 (+.f64 #s(literal 1/2 binary64) y) x)) |
(/ (* (log y) (+ 1/2 y)) x) |
(*.f64 (log.f64 y) (/.f64 (+.f64 #s(literal 1/2 binary64) y) x)) |
(/ (* (log y) (+ 1/2 y)) x) |
(*.f64 (log.f64 y) (/.f64 (+.f64 #s(literal 1/2 binary64) y) x)) |
(/ (* (log y) (+ 1/2 y)) x) |
(*.f64 (log.f64 y) (/.f64 (+.f64 #s(literal 1/2 binary64) y) x)) |
(/ (* (log y) (+ 1/2 y)) x) |
(*.f64 (log.f64 y) (/.f64 (+.f64 #s(literal 1/2 binary64) y) x)) |
(/ (* (log y) (+ 1/2 y)) x) |
(*.f64 (log.f64 y) (/.f64 (+.f64 #s(literal 1/2 binary64) y) x)) |
(/ (* (log y) (+ 1/2 y)) x) |
(*.f64 (log.f64 y) (/.f64 (+.f64 #s(literal 1/2 binary64) y) x)) |
(/ (* (log y) (+ 1/2 y)) x) |
(*.f64 (log.f64 y) (/.f64 (+.f64 #s(literal 1/2 binary64) y) x)) |
(/ (* (log y) (+ 1/2 y)) x) |
(*.f64 (log.f64 y) (/.f64 (+.f64 #s(literal 1/2 binary64) y) x)) |
(/ (* (log y) (+ 1/2 y)) x) |
(*.f64 (log.f64 y) (/.f64 (+.f64 #s(literal 1/2 binary64) y) x)) |
(/ (* (log y) (+ 1/2 y)) x) |
(*.f64 (log.f64 y) (/.f64 (+.f64 #s(literal 1/2 binary64) y) x)) |
(/ (* (log y) (+ 1/2 y)) x) |
(*.f64 (log.f64 y) (/.f64 (+.f64 #s(literal 1/2 binary64) y) x)) |
| 1× | batch-egg-rewrite |
| 3 930× | lower-/.f32 |
| 3 920× | lower-/.f64 |
| 2 616× | lower-fma.f32 |
| 2 610× | lower-fma.f64 |
| 2 528× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 295 |
| 0 | 67 | 287 |
| 1 | 351 | 254 |
| 2 | 3583 | 254 |
| 0 | 8441 | 250 |
| 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) |
(/.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 1/2) (log y))) y) z) (+.f64 y #s(approx (+ (* (log y) (- -1/2 y)) x) (fma.f64 (log.f64 y) #s(literal -1/2 binary64) x)))) |
(+.f64 y #s(approx (+ (* (log y) (- -1/2 y)) x) (fma.f64 (log.f64 y) #s(literal -1/2 binary64) x))) |
#s(approx (+ (* (log y) (- -1/2 y)) x) (fma.f64 (log.f64 y) #s(literal -1/2 binary64) x)) |
(fma.f64 (log.f64 y) #s(literal -1/2 binary64) x) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) x)) |
(+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) x) |
(fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) |
(log.f64 y) |
(fma.f64 x (-.f64 (/.f64 y x) (*.f64 (log.f64 y) (/.f64 (+.f64 y #s(literal 1/2 binary64)) x))) x) |
(-.f64 (/.f64 y x) (*.f64 (log.f64 y) (/.f64 (+.f64 y #s(literal 1/2 binary64)) x))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (+ y (+ (* (log y) (- -1/2 y)) x)) (fma.f64 x (-.f64 (/.f64 y x) (*.f64 (log.f64 y) (/.f64 (+.f64 y #s(literal 1/2 binary64)) x))) x))) |
#s(approx (+ y (+ (* (log y) (- -1/2 y)) x)) (fma.f64 x (-.f64 (/.f64 y x) (*.f64 (log.f64 y) (/.f64 (+.f64 y #s(literal 1/2 binary64)) x))) x)) |
(/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64))) |
(*.f64 z z) |
(*.f64 (log.f64 y) (/.f64 (+.f64 y #s(literal 1/2 binary64)) x)) |
| 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))) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/2 binary64) y))) (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y))) |
(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))) |
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(pow.f64 (pow.f64 (+.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) #s(literal 2 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 (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 #s(literal -1/2 binary64) y))) |
(*.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))) |
(+.f64 #s(literal 0 binary64) (*.f64 z z)) |
(+.f64 (*.f64 z z) #s(literal 0 binary64)) |
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 z))) |
(-.f64 #s(literal 0 binary64) (*.f64 z (neg.f64 z))) |
(-.f64 (*.f64 z z) #s(literal 0 binary64)) |
(-.f64 (*.f64 z z) (/.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z (*.f64 z z))))) |
(-.f64 (*.f64 z z) (/.f64 #s(literal 0 binary64) (*.f64 z z))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z (*.f64 z z)))) (*.f64 z (neg.f64 z))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 (*.f64 z (*.f64 z (*.f64 z z))) (*.f64 z (neg.f64 z)))) |
(fma.f64 z z #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 (*.f64 z 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 (*.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 (*.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 (*.f64 z 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 (*.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 (-.f64 (*.f64 (*.f64 z (*.f64 z 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 (neg.f64 (neg.f64 (*.f64 z (*.f64 z (*.f64 z z)))))) (*.f64 z (neg.f64 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 (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 (*.f64 z 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 (*.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 (*.f64 z 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))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (/.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) x)) |
(/.f64 (log.f64 y) (/.f64 x (+.f64 y #s(literal 1/2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))))) |
(/.f64 (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))) x) |
(/.f64 (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))) (neg.f64 (neg.f64 x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))))) |
(/.f64 (neg.f64 (log.f64 y)) (neg.f64 (/.f64 x (+.f64 y #s(literal 1/2 binary64))))) |
(/.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) (neg.f64 x)) |
(/.f64 (*.f64 #s(literal 1 binary64) (log.f64 y)) (/.f64 x (+.f64 y #s(literal 1/2 binary64)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (log.f64 y))) (neg.f64 (/.f64 x (+.f64 y #s(literal 1/2 binary64))))) |
(pow.f64 (/.f64 x (*.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)))) x) #s(literal -1 binary64)) |
(*.f64 (log.f64 y) (/.f64 (+.f64 y #s(literal 1/2 binary64)) x)) |
(*.f64 (+.f64 y #s(literal 1/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 y))) |
(*.f64 (+.f64 y #s(literal 1/2 binary64)) (/.f64 (log.f64 y) x)) |
(*.f64 (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 (+.f64 y #s(literal 1/2 binary64)) x) (log.f64 y)) |
Compiled 26 276 to 2 345 computations (91.1% saved)
41 alts after pruning (40 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 246 | 30 | 1 276 |
| Fresh | 8 | 10 | 18 |
| Picked | 5 | 0 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 259 | 41 | 1 300 |
| Status | Accuracy | Program |
|---|---|---|
| 99.0% | (fma.f64 (+.f64 x (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y)) (*.f64 (-.f64 x (fma.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y) y)) (/.f64 #s(literal 1 binary64) (-.f64 x (fma.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y) y)))) (neg.f64 z)) | |
| 33.4% | (/.f64 #s(approx (+ (* 1 (+ y z)) (* (/ 1 (+ (* (log y) (- -1/2 y)) x)) (* (+ y z) (- y z)))) (fma.f64 y (neg.f64 (/.f64 #s(literal 1 binary64) (log.f64 y))) y)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)) (+.f64 y z))) | |
| 59.1% | (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (log y) (- -1/2 y)) x)) (/.f64 #s(literal 1 binary64) x))) y) z) | |
| ▶ | 99.5% | (-.f64 (+.f64 (-.f64 x (/.f64 (log.f64 y) (pow.f64 (pow.f64 (+.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) y) z) |
| ▶ | 87.1% | (-.f64 (+.f64 (-.f64 x (/.f64 (log.f64 y) #s(approx (/ 1 (+ y 1/2)) (/.f64 #s(literal 1 binary64) y)))) y) z) |
| 58.7% | (-.f64 #s(approx (+ (/ 1 (/ 1 (+ (* (log y) (- -1/2 y)) x))) y) (fma.f64 (log.f64 y) (neg.f64 y) y)) z) | |
| 72.6% | (-.f64 #s(approx (+ (/ 1 (/ 1 (+ (* (log y) (- -1/2 y)) x))) y) (fma.f64 (log.f64 y) #s(literal -1/2 binary64) x)) z) | |
| 29.0% | #s(approx (/ (+ (* 1 (+ y z)) (* (/ 1 (+ (* (log y) (- -1/2 y)) x)) (* (+ y z) (- y z)))) (* (/ 1 (+ (* (log y) (- -1/2 y)) x)) (+ y z))) (fma.f64 (log.f64 y) (neg.f64 y) y)) | |
| 49.2% | #s(approx (/ (+ (* 1 (+ y z)) (* (/ 1 (+ (* (log y) (- -1/2 y)) x)) (* (+ y z) (- y z)))) (* (/ 1 (+ (* (log y) (- -1/2 y)) x)) (+ y z))) (/.f64 (*.f64 (fma.f64 (log.f64 y) #s(literal -1/2 binary64) x) (-.f64 z (/.f64 (*.f64 z z) (fma.f64 (log.f64 y) #s(literal -1/2 binary64) x)))) z)) | |
| 79.3% | #s(approx (/ (+ (* 1 (+ y z)) (* (/ 1 (+ (* (log y) (- -1/2 y)) x)) (* (+ y z) (- y z)))) (* (/ 1 (+ (* (log y) (- -1/2 y)) x)) (+ y z))) (*.f64 z (-.f64 (/.f64 (fma.f64 (+.f64 y #s(literal 1/2 binary64)) (neg.f64 (log.f64 y)) x) z) (-.f64 #s(literal 1 binary64) (/.f64 y z))))) | |
| 75.3% | #s(approx (- (+ (- x (/ (log y) (/ 1 (+ y 1/2)))) y) z) (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)) | |
| 4.9% | #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))) | |
| 4.9% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z z) (neg.f64 (*.f64 z (*.f64 z (*.f64 z z)))))) (+.f64 #s(literal 0 binary64) z))) | |
| 3.4% | #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))) | |
| 7.0% | #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)))) | |
| 6.9% | #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 z z)))) | |
| 4.1% | #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)))))) | |
| 14.2% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)))) | |
| 6.9% | #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))))) | |
| 2.7% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z))) (neg.f64 (*.f64 z (*.f64 z (*.f64 z (*.f64 z z))))))) | |
| 2.8% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z))))) (+.f64 #s(literal 0 binary64) z))) | |
| 2.8% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)))) (/.f64 #s(literal 1 binary64) z)) (*.f64 z (*.f64 z (*.f64 z z))))) | |
| 4.9% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (neg.f64 (*.f64 z (*.f64 z (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (*.f64 z z))) (+.f64 #s(literal 0 binary64) z))) | |
| ▶ | 4.9% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (neg.f64 (*.f64 z (*.f64 z (*.f64 z z)))) (/.f64 #s(literal 1 binary64) z)) (*.f64 z z))) |
| 7.5% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 z (*.f64 z z)) (*.f64 z (neg.f64 z)))) | |
| ▶ | 14.3% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 z (neg.f64 z)) z)) |
| 4.0% | #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)))) | |
| 31.9% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z))) | |
| 68.9% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))))) | |
| 56.5% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+.f64 #s(approx (+ (* (log y) (- -1/2 y)) y) (fma.f64 (log.f64 y) (neg.f64 y) y)) x)) | |
| 68.8% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+.f64 y (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x))))) | |
| 29.0% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+.f64 y #s(approx (+ (* (log y) (- -1/2 y)) x) (*.f64 (log.f64 y) (neg.f64 y))))) | |
| 14.3% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+.f64 y #s(approx (+ (* (log y) (- -1/2 y)) x) #s(approx (+ (* (log y) -1/2) x) (*.f64 (log.f64 y) #s(literal -1/2 binary64)))))) | |
| 6.9% | #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))) | |
| 14.2% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (*.f64 z z) (/.f64 #s(literal -1 binary64) z))) | |
| ✓ | 32.0% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z)) |
| 41.1% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (+ (+ (* (log y) (- -1/2 y)) y) x) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y))) | |
| ▶ | 42.2% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (+ (+ (* (log y) (- -1/2 y)) y) x) (fma.f64 (log.f64 y) #s(literal -1/2 binary64) x))) |
| 59.5% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (+ y (+ (* (log y) (- -1/2 y)) x)) (fma.f64 x (fma.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) (/.f64 #s(literal 1 binary64) x) (/.f64 y x)) x))) | |
| 59.3% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (+ y (+ (* (log y) (- -1/2 y)) x)) (fma.f64 x (-.f64 (/.f64 y x) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 y)))) x))) | |
| 20.6% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (+ y (+ (* (log y) (- -1/2 y)) x)) #s(approx (+ (* x (- (/ y x) (* (log y) (/ (+ y 1/2) x)))) x) (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) (/.f64 y x)))))) |
Compiled 1 476 to 816 computations (44.7% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (/.f64 (log.f64 y) #s(approx (/ 1 (+ y 1/2)) (/.f64 #s(literal 1 binary64) y))) |
| ✓ | cost-diff | 0 | (-.f64 x (/.f64 (log.f64 y) #s(approx (/ 1 (+ y 1/2)) (/.f64 #s(literal 1 binary64) y)))) |
| ✓ | cost-diff | 0 | (+.f64 (-.f64 x (/.f64 (log.f64 y) #s(approx (/ 1 (+ y 1/2)) (/.f64 #s(literal 1 binary64) y)))) y) |
| ✓ | cost-diff | 0 | (-.f64 (+.f64 (-.f64 x (/.f64 (log.f64 y) #s(approx (/ 1 (+ y 1/2)) (/.f64 #s(literal 1 binary64) y)))) y) z) |
| ✓ | 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 (+ (+ (* (log y) (- -1/2 y)) y) x) (fma.f64 (log.f64 y) #s(literal -1/2 binary64) x)) |
| ✓ | cost-diff | 0 | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (+ (+ (* (log y) (- -1/2 y)) y) x) (fma.f64 (log.f64 y) #s(literal -1/2 binary64) x))) |
| ✓ | cost-diff | 0 | (neg.f64 (*.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 z (*.f64 z (*.f64 z z)))) (/.f64 #s(literal 1 binary64) z)) (*.f64 z z))) |
| ✓ | cost-diff | 1344 | (*.f64 (neg.f64 (*.f64 z (*.f64 z (*.f64 z z)))) (/.f64 #s(literal 1 binary64) z)) |
| ✓ | cost-diff | 1664 | (/.f64 (*.f64 (neg.f64 (*.f64 z (*.f64 z (*.f64 z z)))) (/.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 (+.f64 (-.f64 x (/.f64 (log.f64 y) (pow.f64 (pow.f64 (+.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) y) z) |
| ✓ | cost-diff | 128 | (-.f64 x (/.f64 (log.f64 y) (pow.f64 (pow.f64 (+.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) |
| ✓ | cost-diff | 1088 | (/.f64 (log.f64 y) (pow.f64 (pow.f64 (+.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
| ✓ | cost-diff | 12224 | (pow.f64 (pow.f64 (+.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
| 5 662× | lower-fma.f32 |
| 5 660× | lower-fma.f64 |
| 1 914× | lower-*.f32 |
| 1 904× | lower-*.f64 |
| 1 410× | sub-neg |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 325 |
| 0 | 73 | 301 |
| 1 | 141 | 283 |
| 2 | 361 | 261 |
| 3 | 1495 | 261 |
| 4 | 3624 | 253 |
| 5 | 5747 | 253 |
| 6 | 7945 | 253 |
| 0 | 8009 | 245 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (+.f64 (-.f64 x (/.f64 (log.f64 y) (pow.f64 (pow.f64 (+.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) y) z) |
(+.f64 (-.f64 x (/.f64 (log.f64 y) (pow.f64 (pow.f64 (+.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) y) |
(-.f64 x (/.f64 (log.f64 y) (pow.f64 (pow.f64 (+.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) |
x |
(/.f64 (log.f64 y) (pow.f64 (pow.f64 (+.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
(log.f64 y) |
y |
(pow.f64 (pow.f64 (+.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (+.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) |
(+.f64 y #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
#s(literal -1/2 binary64) |
#s(literal 2 binary64) |
z |
#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 (neg.f64 (*.f64 z (*.f64 z (*.f64 z z)))) (/.f64 #s(literal 1 binary64) z)) (*.f64 z z))) |
(/.f64 (*.f64 (neg.f64 (*.f64 z (*.f64 z (*.f64 z z)))) (/.f64 #s(literal 1 binary64) z)) (*.f64 z z)) |
(*.f64 (neg.f64 (*.f64 z (*.f64 z (*.f64 z z)))) (/.f64 #s(literal 1 binary64) z)) |
(neg.f64 (*.f64 z (*.f64 z (*.f64 z z)))) |
(*.f64 z (*.f64 z (*.f64 z z))) |
z |
(*.f64 z (*.f64 z z)) |
(*.f64 z z) |
(/.f64 #s(literal 1 binary64) z) |
#s(literal 1 binary64) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (+ (+ (* (log y) (- -1/2 y)) y) x) (fma.f64 (log.f64 y) #s(literal -1/2 binary64) x))) |
#s(approx (+ (+ (* (log y) (- -1/2 y)) y) x) (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 |
(-.f64 (+.f64 (-.f64 x (/.f64 (log.f64 y) #s(approx (/ 1 (+ y 1/2)) (/.f64 #s(literal 1 binary64) y)))) y) z) |
(+.f64 (-.f64 x (/.f64 (log.f64 y) #s(approx (/ 1 (+ y 1/2)) (/.f64 #s(literal 1 binary64) y)))) y) |
(-.f64 x (/.f64 (log.f64 y) #s(approx (/ 1 (+ y 1/2)) (/.f64 #s(literal 1 binary64) y)))) |
x |
(/.f64 (log.f64 y) #s(approx (/ 1 (+ y 1/2)) (/.f64 #s(literal 1 binary64) y))) |
(log.f64 y) |
y |
#s(approx (/ 1 (+ y 1/2)) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
z |
| Outputs |
|---|
(-.f64 (+.f64 (-.f64 x (/.f64 (log.f64 y) (pow.f64 (pow.f64 (+.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) #s(literal 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) (pow.f64 (pow.f64 (+.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) y) |
(+.f64 x (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y)) |
(-.f64 x (/.f64 (log.f64 y) (pow.f64 (pow.f64 (+.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) |
(fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x) |
x |
(/.f64 (log.f64 y) (pow.f64 (pow.f64 (+.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
(*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))) |
(log.f64 y) |
y |
(pow.f64 (pow.f64 (+.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64))) |
(pow.f64 (+.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) |
(+.f64 y #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
#s(literal -1/2 binary64) |
#s(literal 2 binary64) |
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) (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 (neg.f64 (*.f64 z (*.f64 z (*.f64 z z)))) (/.f64 #s(literal 1 binary64) z)) (*.f64 z z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z)) |
(/.f64 (*.f64 (neg.f64 (*.f64 z (*.f64 z (*.f64 z z)))) (/.f64 #s(literal 1 binary64) z)) (*.f64 z z)) |
(neg.f64 z) |
(*.f64 (neg.f64 (*.f64 z (*.f64 z (*.f64 z z)))) (/.f64 #s(literal 1 binary64) z)) |
(*.f64 z (*.f64 z (neg.f64 z))) |
(neg.f64 (*.f64 z (*.f64 z (*.f64 z z)))) |
(*.f64 z (*.f64 z (*.f64 z z))) |
z |
(*.f64 z (*.f64 z z)) |
(*.f64 z z) |
(/.f64 #s(literal 1 binary64) z) |
#s(literal 1 binary64) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (+ (+ (* (log y) (- -1/2 y)) y) x) (fma.f64 (log.f64 y) #s(literal -1/2 binary64) x))) |
#s(approx (+ (+ (* (log y) (- -1/2 y)) y) x) (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 |
(-.f64 (+.f64 (-.f64 x (/.f64 (log.f64 y) #s(approx (/ 1 (+ y 1/2)) (/.f64 #s(literal 1 binary64) y)))) y) z) |
(-.f64 (+.f64 y (-.f64 x z)) (/.f64 (log.f64 y) #s(approx (/ 1 (+ y 1/2)) (/.f64 #s(literal 1 binary64) y)))) |
(+.f64 (-.f64 x (/.f64 (log.f64 y) #s(approx (/ 1 (+ y 1/2)) (/.f64 #s(literal 1 binary64) y)))) y) |
(-.f64 (+.f64 x y) (/.f64 (log.f64 y) #s(approx (/ 1 (+ y 1/2)) (/.f64 #s(literal 1 binary64) y)))) |
(-.f64 x (/.f64 (log.f64 y) #s(approx (/ 1 (+ y 1/2)) (/.f64 #s(literal 1 binary64) y)))) |
x |
(/.f64 (log.f64 y) #s(approx (/ 1 (+ y 1/2)) (/.f64 #s(literal 1 binary64) y))) |
(log.f64 y) |
y |
#s(approx (/ 1 (+ y 1/2)) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
z |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (-.f64 (+.f64 (-.f64 x (/.f64 (log.f64 y) #s(approx (/ 1 (+ y 1/2)) (/.f64 #s(literal 1 binary64) y)))) y) z) |
| ✓ | accuracy | 99.9% | (+.f64 (-.f64 x (/.f64 (log.f64 y) #s(approx (/ 1 (+ y 1/2)) (/.f64 #s(literal 1 binary64) y)))) y) |
| ✓ | accuracy | 99.8% | (/.f64 (log.f64 y) #s(approx (/ 1 (+ y 1/2)) (/.f64 #s(literal 1 binary64) y))) |
| ✓ | accuracy | 50.6% | #s(approx (/ 1 (+ y 1/2)) (/.f64 #s(literal 1 binary64) y)) |
| ✓ | accuracy | 100.0% | (fma.f64 (log.f64 y) #s(literal -1/2 binary64) x) |
| ✓ | accuracy | 100.0% | (log.f64 y) |
| ✓ | accuracy | 69.1% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (+ (+ (* (log y) (- -1/2 y)) y) x) (fma.f64 (log.f64 y) #s(literal -1/2 binary64) x))) |
| ✓ | accuracy | 65.6% | #s(approx (+ (+ (* (log y) (- -1/2 y)) y) x) (fma.f64 (log.f64 y) #s(literal -1/2 binary64) x)) |
| ✓ | accuracy | 99.9% | (*.f64 z (*.f64 z z)) |
| ✓ | accuracy | 91.1% | (*.f64 (neg.f64 (*.f64 z (*.f64 z (*.f64 z z)))) (/.f64 #s(literal 1 binary64) z)) |
| ✓ | accuracy | 33.2% | (/.f64 (*.f64 (neg.f64 (*.f64 z (*.f64 z (*.f64 z z)))) (/.f64 #s(literal 1 binary64) z)) (*.f64 z z)) |
| ✓ | accuracy | 32.0% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (neg.f64 (*.f64 z (*.f64 z (*.f64 z z)))) (/.f64 #s(literal 1 binary64) z)) (*.f64 z z))) |
| ✓ | accuracy | 100.0% | (*.f64 z (neg.f64 z)) |
| ✓ | accuracy | 100.0% | (neg.f64 z) |
| ✓ | accuracy | 52.0% | (/.f64 (*.f64 z (neg.f64 z)) z) |
| ✓ | accuracy | 32.0% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 z (neg.f64 z)) z)) |
| ✓ | accuracy | 100.0% | (-.f64 (+.f64 (-.f64 x (/.f64 (log.f64 y) (pow.f64 (pow.f64 (+.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) y) z) |
| ✓ | accuracy | 99.9% | (+.f64 (-.f64 x (/.f64 (log.f64 y) (pow.f64 (pow.f64 (+.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) y) |
| ✓ | accuracy | 99.8% | (/.f64 (log.f64 y) (pow.f64 (pow.f64 (+.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
| ✓ | accuracy | 98.9% | (pow.f64 (pow.f64 (+.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
| 80.0ms | 256× | 0 | valid |
Compiled 261 to 43 computations (83.5% saved)
ival-div: 13.0ms (21.5% of total)ival-mult: 12.0ms (19.9% of total)ival-add: 11.0ms (18.2% of total)ival-sub: 10.0ms (16.6% of total)ival-pow: 6.0ms (9.9% of total)ival-log: 4.0ms (6.6% of total)ival-pow2: 3.0ms (5% of total)ival-neg: 2.0ms (3.3% of total)exact: 1.0ms (1.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (pow.f64 (pow.f64 (+.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))> |
#<alt (/.f64 (log.f64 y) (pow.f64 (pow.f64 (+.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))> |
#<alt (-.f64 x (/.f64 (log.f64 y) (pow.f64 (pow.f64 (+.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))))> |
#<alt (-.f64 (+.f64 (-.f64 x (/.f64 (log.f64 y) (pow.f64 (pow.f64 (+.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) 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 (neg.f64 (*.f64 z (*.f64 z (*.f64 z z)))) (/.f64 #s(literal 1 binary64) z)) (*.f64 z z))> |
#<alt (*.f64 (neg.f64 (*.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 z (*.f64 z (*.f64 z z)))) (/.f64 #s(literal 1 binary64) z)) (*.f64 z z)))> |
#<alt (neg.f64 (*.f64 z (*.f64 z (*.f64 z z))))> |
#<alt #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (+ (+ (* (log y) (- -1/2 y)) y) x) (fma.f64 (log.f64 y) #s(literal -1/2 binary64) x)))> |
#<alt #s(approx (+ (+ (* (log y) (- -1/2 y)) y) x) (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 (-.f64 (+.f64 (-.f64 x (/.f64 (log.f64 y) #s(approx (/ 1 (+ y 1/2)) (/.f64 #s(literal 1 binary64) y)))) y) z)> |
#<alt (+.f64 (-.f64 x (/.f64 (log.f64 y) #s(approx (/ 1 (+ y 1/2)) (/.f64 #s(literal 1 binary64) y)))) y)> |
#<alt (-.f64 x (/.f64 (log.f64 y) #s(approx (/ 1 (+ y 1/2)) (/.f64 #s(literal 1 binary64) y))))> |
#<alt (/.f64 (log.f64 y) #s(approx (/ 1 (+ y 1/2)) (/.f64 #s(literal 1 binary64) y)))> |
#<alt (+.f64 (-.f64 x (/.f64 (log.f64 y) (pow.f64 (pow.f64 (+.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) y)> |
#<alt (*.f64 z (*.f64 z z))> |
#<alt #s(approx (/ 1 (+ y 1/2)) (/.f64 #s(literal 1 binary64) y))> |
| Outputs |
|---|
#<alt 2> |
#<alt (+ 2 (* -4 y))> |
#<alt (+ 2 (* y (- (* 8 y) 4)))> |
#<alt (+ 2 (* y (- (* y (+ 8 (* -16 y))) 4)))> |
#<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)) 1) y))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 y)) 1/2) y)) 1) y))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 y)) 1/4) y)) 1/2) y)) 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 (* (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)))))> |
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#<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 (* (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 (* 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 (- 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 (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)> |
#<alt 2> |
#<alt (+ 2 (* -4 y))> |
#<alt (+ 2 (* y (- (* 8 y) 4)))> |
#<alt (+ 2 (* y (- (* y (+ 8 (* -16 y))) 4)))> |
#<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)) 1) y))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 y)) 1/2) y)) 1) y))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 y)) 1/4) y)) 1/2) y)) 1) y))> |
117 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | z | @ | 0 | (* (neg (* z (* z (* z z)))) (/ 1 z)) |
| 0.0ms | z | @ | 0 | (neg (* z (* z (* z z)))) |
| 0.0ms | z | @ | -inf | (* (neg (* z (* z (* z z)))) (/ 1 z)) |
| 0.0ms | z | @ | 0 | (* z (neg z)) |
| 0.0ms | z | @ | inf | (* (neg (* z (* z (* z z)))) (/ 1 z)) |
| 1× | egg-herbie |
| 10 870× | lower-fma.f64 |
| 10 870× | lower-fma.f32 |
| 3 832× | lower-*.f64 |
| 3 832× | lower-*.f32 |
| 3 688× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 233 | 5447 |
| 1 | 718 | 5046 |
| 2 | 2022 | 4786 |
| 3 | 6810 | 4752 |
| 0 | 8565 | 4489 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
2 |
(+ 2 (* -4 y)) |
(+ 2 (* y (- (* 8 y) 4))) |
(+ 2 (* y (- (* y (+ 8 (* -16 y))) 4))) |
(/ 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)) 1) y)) |
(* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 y)) 1/2) y)) 1) y)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 y)) 1/4) y)) 1/2) y)) 1) y)) |
(* 1/2 (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 (* (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)))))))) |
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(- (+ x y) (+ z (* (log y) (+ 1/2 y)))) |
x |
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(* 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)))) |
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(* 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) |
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(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z)))) |
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z)))) |
(* -1 z) |
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z))))) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(- y (+ z (* (log y) (+ 1/2 y)))) |
(- (+ x y) (+ z (* (log y) (+ 1/2 y)))) |
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(- (+ 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 (pow z 2)) |
(* -1 (pow z 2)) |
(* -1 (pow z 2)) |
(* -1 (pow z 2)) |
(* -1 (pow z 2)) |
(* -1 (pow z 2)) |
(* -1 (pow z 2)) |
(* -1 (pow z 2)) |
(* -1 (pow z 2)) |
(* -1 (pow z 2)) |
(* -1 (pow z 2)) |
(* -1 (pow z 2)) |
(* -1 z) |
(* -1 z) |
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(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 (pow z 3)) |
(* -1 (pow z 3)) |
(* -1 (pow z 3)) |
(* -1 (pow z 3)) |
(* -1 (pow z 3)) |
(* -1 (pow z 3)) |
(* -1 (pow z 3)) |
(* -1 (pow z 3)) |
(* -1 (pow z 3)) |
(* -1 (pow z 3)) |
(* -1 (pow z 3)) |
(* -1 (pow z 3)) |
(- 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 (pow z 4)) |
(* -1 (pow z 4)) |
(* -1 (pow z 4)) |
(* -1 (pow z 4)) |
(* -1 (pow z 4)) |
(* -1 (pow z 4)) |
(* -1 (pow z 4)) |
(* -1 (pow z 4)) |
(* -1 (pow z 4)) |
(* -1 (pow z 4)) |
(* -1 (pow z 4)) |
(* -1 (pow z 4)) |
(- 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))))) |
(+ x (* -1/2 (log y))) |
(+ x (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y)))))) |
(+ x (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y)))))) |
(+ x (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y)))))) |
(* 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) (+ 1/2 y)))) |
(+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) |
(+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) |
(+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) |
x |
(* x (+ 1 (+ (* -1 (/ (* (log y) (+ 1/2 y)) x)) (/ y x)))) |
(* x (+ 1 (+ (* -1 (/ (* (log y) (+ 1/2 y)) x)) (/ y x)))) |
(* x (+ 1 (+ (* -1 (/ (* (log y) (+ 1/2 y)) x)) (/ y x)))) |
x |
(* -1 (* x (- (* -1 (/ (+ y (* -1 (* (log y) (+ 1/2 y)))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ y (* -1 (* (log y) (+ 1/2 y)))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ y (* -1 (* (log y) (+ 1/2 y)))) x)) 1))) |
(+ x (* -1/2 (log y))) |
(+ x (* -1/2 (log y))) |
(+ x (* -1/2 (log y))) |
(+ x (* -1/2 (log y))) |
(+ x (* 1/2 (log (/ 1 y)))) |
(+ x (* 1/2 (log (/ 1 y)))) |
(+ x (* 1/2 (log (/ 1 y)))) |
(+ x (* 1/2 (log (/ 1 y)))) |
(+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) |
(+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) |
(+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) |
(+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) |
(* -1/2 (log y)) |
(+ x (* -1/2 (log y))) |
(+ x (* -1/2 (log y))) |
(+ x (* -1/2 (log y))) |
x |
(* x (+ 1 (* -1/2 (/ (log y) x)))) |
(* x (+ 1 (* -1/2 (/ (log y) x)))) |
(* x (+ 1 (* -1/2 (/ (log y) x)))) |
x |
(* -1 (* x (- (* 1/2 (/ (log y) x)) 1))) |
(* -1 (* x (- (* 1/2 (/ (log y) x)) 1))) |
(* -1 (* x (- (* 1/2 (/ (log y) x)) 1))) |
(log y) |
(log y) |
(log y) |
(log y) |
(* -1 (log (/ 1 y))) |
(* -1 (log (/ 1 y))) |
(* -1 (log (/ 1 y))) |
(* -1 (log (/ 1 y))) |
(+ (log -1) (* -1 (log (/ -1 y)))) |
(+ (log -1) (* -1 (log (/ -1 y)))) |
(+ (log -1) (* -1 (log (/ -1 y)))) |
(+ (log -1) (* -1 (log (/ -1 y)))) |
(- y (+ 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 (* (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)))))))) |
(* 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))))) |
(- 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))))))))) |
(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) |
2 |
(+ 2 (* -4 y)) |
(+ 2 (* y (- (* 8 y) 4))) |
(+ 2 (* y (- (* y (+ 8 (* -16 y))) 4))) |
(/ 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)) 1) y)) |
(* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 y)) 1/2) y)) 1) y)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 y)) 1/4) y)) 1/2) y)) 1) y)) |
| Outputs |
|---|
2 |
#s(literal 2 binary64) |
(+ 2 (* -4 y)) |
(fma.f64 #s(literal -4 binary64) y #s(literal 2 binary64)) |
(+ 2 (* y (- (* 8 y) 4))) |
(fma.f64 y (fma.f64 y #s(literal 8 binary64) #s(literal -4 binary64)) #s(literal 2 binary64)) |
(+ 2 (* y (- (* y (+ 8 (* -16 y))) 4))) |
(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 (/.f64 #s(literal -1/2 binary64) y) #s(literal -1 binary64)) y) |
(/ (- (+ 1 (/ 1/4 (pow y 2))) (* 1/2 (/ 1 y))) y) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) y) #s(literal -1/2 binary64)) y)) y) |
(/ (- (+ 1 (/ 1/4 (pow y 2))) (+ (* 1/2 (/ 1 y)) (* 1/8 (/ 1 (pow y 3))))) y) |
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) y) #s(literal -1/2 binary64)) 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)) 1) y)) |
(/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) y) #s(literal -1 binary64)) y) |
(* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 y)) 1/2) y)) 1) y)) |
(/.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 (/ (- (* 1/8 (/ 1 y)) 1/4) y)) 1/2) y)) 1) y)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/8 binary64) y)) y)) y)) 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 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 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)) (neg.f64 (log.f64 (neg.f64 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)) (neg.f64 (log.f64 (neg.f64 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)) (neg.f64 (log.f64 (neg.f64 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)) (neg.f64 (log.f64 (neg.f64 y)))) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)))) |
(* -1 (* (log y) (+ 1/2 y))) |
(neg.f64 (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))) |
(- x (* (log y) (+ 1/2 y))) |
(fma.f64 (log.f64 y) (+.f64 #s(literal -1/2 binary64) (neg.f64 y)) x) |
(- x (* (log y) (+ 1/2 y))) |
(fma.f64 (log.f64 y) (+.f64 #s(literal -1/2 binary64) (neg.f64 y)) x) |
(- x (* (log y) (+ 1/2 y))) |
(fma.f64 (log.f64 y) (+.f64 #s(literal -1/2 binary64) (neg.f64 y)) x) |
x |
(* x (+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x)))) |
(fma.f64 (log.f64 y) (*.f64 (/.f64 (+.f64 y #s(literal 1/2 binary64)) x) (neg.f64 x)) x) |
(* x (+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x)))) |
(fma.f64 (log.f64 y) (*.f64 (/.f64 (+.f64 y #s(literal 1/2 binary64)) x) (neg.f64 x)) x) |
(* x (+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x)))) |
(fma.f64 (log.f64 y) (*.f64 (/.f64 (+.f64 y #s(literal 1/2 binary64)) x) (neg.f64 x)) x) |
x |
(* -1 (* x (- (/ (* (log y) (+ 1/2 y)) x) 1))) |
(fma.f64 (log.f64 y) (*.f64 (/.f64 (+.f64 y #s(literal 1/2 binary64)) x) (neg.f64 x)) x) |
(* -1 (* x (- (/ (* (log y) (+ 1/2 y)) x) 1))) |
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(*.f64 y (-.f64 (/.f64 x y) (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 y)))) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #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)) (neg.f64 (log.f64 (neg.f64 y)))) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #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)) (neg.f64 (log.f64 (neg.f64 y)))) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64))))) |
(* 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 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 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)) (neg.f64 (log.f64 (neg.f64 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)) (neg.f64 (log.f64 (neg.f64 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)) (neg.f64 (log.f64 (neg.f64 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)) (neg.f64 (log.f64 (neg.f64 y)))) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)))) |
(- y (* (log y) (+ 1/2 y))) |
(fma.f64 (log.f64 y) (+.f64 #s(literal -1/2 binary64) (neg.f64 y)) y) |
(- (+ x y) (* (log y) (+ 1/2 y))) |
(+.f64 x (fma.f64 (log.f64 y) (+.f64 #s(literal -1/2 binary64) (neg.f64 y)) y)) |
(- (+ x y) (* (log y) (+ 1/2 y))) |
(+.f64 x (fma.f64 (log.f64 y) (+.f64 #s(literal -1/2 binary64) (neg.f64 y)) y)) |
(- (+ x y) (* (log y) (+ 1/2 y))) |
(+.f64 x (fma.f64 (log.f64 y) (+.f64 #s(literal -1/2 binary64) (neg.f64 y)) y)) |
x |
(* x (- (+ 1 (/ y x)) (/ (* (log y) (+ 1/2 y)) x))) |
(fma.f64 x (/.f64 (fma.f64 (log.f64 y) (+.f64 #s(literal -1/2 binary64) (neg.f64 y)) y) x) x) |
(* x (- (+ 1 (/ y x)) (/ (* (log y) (+ 1/2 y)) x))) |
(fma.f64 x (/.f64 (fma.f64 (log.f64 y) (+.f64 #s(literal -1/2 binary64) (neg.f64 y)) y) x) x) |
(* x (- (+ 1 (/ y x)) (/ (* (log y) (+ 1/2 y)) x))) |
(fma.f64 x (/.f64 (fma.f64 (log.f64 y) (+.f64 #s(literal -1/2 binary64) (neg.f64 y)) y) x) x) |
x |
(* -1 (* x (- (* -1 (/ (- y (* (log y) (+ 1/2 y))) x)) 1))) |
(fma.f64 x (/.f64 (fma.f64 (log.f64 y) (+.f64 #s(literal -1/2 binary64) (neg.f64 y)) y) x) x) |
(* -1 (* x (- (* -1 (/ (- y (* (log y) (+ 1/2 y))) x)) 1))) |
(fma.f64 x (/.f64 (fma.f64 (log.f64 y) (+.f64 #s(literal -1/2 binary64) (neg.f64 y)) y) x) x) |
(* -1 (* x (- (* -1 (/ (- y (* (log y) (+ 1/2 y))) x)) 1))) |
(fma.f64 x (/.f64 (fma.f64 (log.f64 y) (+.f64 #s(literal -1/2 binary64) (neg.f64 y)) y) x) 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 x (fma.f64 (log.f64 y) (+.f64 #s(literal -1/2 binary64) (neg.f64 y)) y)) |
(- (+ x (* y (- 1 (log y)))) (* 1/2 (log y))) |
(+.f64 x (fma.f64 (log.f64 y) (+.f64 #s(literal -1/2 binary64) (neg.f64 y)) y)) |
(- (+ x (* y (- 1 (log y)))) (* 1/2 (log y))) |
(+.f64 x (fma.f64 (log.f64 y) (+.f64 #s(literal -1/2 binary64) (neg.f64 y)) y)) |
(* 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))))) |
(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 (/ x y)) (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) 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 (/ x y)) (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) 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 (neg.f64 (log.f64 (neg.f64 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))))))))) |
(fma.f64 y (-.f64 (/.f64 x y) (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 y)))) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)))) y) |
(* -1 (* y (- (* -1 (/ (- x (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))))) |
(fma.f64 y (-.f64 (/.f64 x y) (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 y)))) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)))) y) |
(* -1 (* y (- (* -1 (/ (- x (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))))) |
(fma.f64 y (-.f64 (/.f64 x y) (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 y)))) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)))) y) |
(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)) |
2 |
#s(literal 2 binary64) |
(+ 2 (* -4 y)) |
(fma.f64 #s(literal -4 binary64) y #s(literal 2 binary64)) |
(+ 2 (* y (- (* 8 y) 4))) |
(fma.f64 y (fma.f64 y #s(literal 8 binary64) #s(literal -4 binary64)) #s(literal 2 binary64)) |
(+ 2 (* y (- (* y (+ 8 (* -16 y))) 4))) |
(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 (/.f64 #s(literal -1/2 binary64) y) #s(literal -1 binary64)) y) |
(/ (- (+ 1 (/ 1/4 (pow y 2))) (* 1/2 (/ 1 y))) y) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) y) #s(literal -1/2 binary64)) y)) y) |
(/ (- (+ 1 (/ 1/4 (pow y 2))) (+ (* 1/2 (/ 1 y)) (* 1/8 (/ 1 (pow y 3))))) y) |
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) y) #s(literal -1/2 binary64)) 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)) 1) y)) |
(/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) y) #s(literal -1 binary64)) y) |
(* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 y)) 1/2) y)) 1) y)) |
(/.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 (/ (- (* 1/8 (/ 1 y)) 1/4) y)) 1/2) y)) 1) y)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/8 binary64) y)) y)) y)) y) |
| 1× | batch-egg-rewrite |
| 5 732× | lower-*.f32 |
| 5 722× | lower-*.f64 |
| 3 422× | lower-/.f32 |
| 3 410× | lower-/.f64 |
| 2 430× | lower--.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 281 |
| 0 | 73 | 245 |
| 1 | 346 | 235 |
| 2 | 3045 | 213 |
| 0 | 9293 | 205 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(pow.f64 (pow.f64 (+.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(/.f64 (log.f64 y) (pow.f64 (pow.f64 (+.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
(-.f64 x (/.f64 (log.f64 y) (pow.f64 (pow.f64 (+.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) |
(-.f64 (+.f64 (-.f64 x (/.f64 (log.f64 y) (pow.f64 (pow.f64 (+.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) 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 (neg.f64 (*.f64 z (*.f64 z (*.f64 z z)))) (/.f64 #s(literal 1 binary64) z)) (*.f64 z z)) |
(*.f64 (neg.f64 (*.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 z (*.f64 z (*.f64 z z)))) (/.f64 #s(literal 1 binary64) z)) (*.f64 z z))) |
(neg.f64 (*.f64 z (*.f64 z (*.f64 z z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (+ (+ (* (log y) (- -1/2 y)) y) x) (fma.f64 (log.f64 y) #s(literal -1/2 binary64) x))) |
#s(approx (+ (+ (* (log y) (- -1/2 y)) y) x) (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) |
(-.f64 (+.f64 (-.f64 x (/.f64 (log.f64 y) #s(approx (/ 1 (+ y 1/2)) (/.f64 #s(literal 1 binary64) y)))) y) z) |
(+.f64 (-.f64 x (/.f64 (log.f64 y) #s(approx (/ 1 (+ y 1/2)) (/.f64 #s(literal 1 binary64) y)))) y) |
(-.f64 x (/.f64 (log.f64 y) #s(approx (/ 1 (+ y 1/2)) (/.f64 #s(literal 1 binary64) y)))) |
(/.f64 (log.f64 y) #s(approx (/ 1 (+ y 1/2)) (/.f64 #s(literal 1 binary64) y))) |
(+.f64 (-.f64 x (/.f64 (log.f64 y) (pow.f64 (pow.f64 (+.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) y) |
(*.f64 z (*.f64 z z)) |
#s(approx (/ 1 (+ y 1/2)) (/.f64 #s(literal 1 binary64) y)) |
| Outputs |
|---|
(exp.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (log.f64 (+.f64 y #s(literal 1/2 binary64)))))) |
(exp.f64 (*.f64 (log.f64 (+.f64 y #s(literal 1/2 binary64))) #s(literal -1 binary64))) |
(exp.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64)))) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (+.f64 y #s(literal 1/2 binary64)))) #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (log.f64 (+.f64 y #s(literal 1/2 binary64))))) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 y #s(literal 1/2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(exp.f64 (neg.f64 (log.f64 (+.f64 y #s(literal 1/2 binary64))))) |
(neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/2 binary64) y))) |
(/.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) y))) |
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/2 binary64) y)) |
(pow.f64 (pow.f64 (+.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64))) #s(literal 1 binary64)) |
(pow.f64 (+.f64 y #s(literal 1/2 binary64)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (+.f64 y #s(literal 1/2 binary64)) #s(literal -1/4 binary64)) #s(literal 4 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) y)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (+.f64 y #s(literal 1/2 binary64))) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (+.f64 y #s(literal 1/2 binary64)))) #s(literal -1/4 binary64)) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (log.f64 (+.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) (+.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 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/2 binary64) y))) |
(*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/2 binary64) y)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (+.f64 y #s(literal 1/2 binary64)) #s(literal -1/4 binary64)) (pow.f64 (+.f64 y #s(literal 1/2 binary64)) #s(literal -3/4 binary64))) |
(*.f64 (pow.f64 (+.f64 y #s(literal 1/2 binary64)) #s(literal -1/4 binary64)) (pow.f64 (pow.f64 (+.f64 y #s(literal 1/2 binary64)) #s(literal -3/4 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (+.f64 y #s(literal 1/2 binary64)) #s(literal -3/4 binary64)) (pow.f64 (+.f64 y #s(literal 1/2 binary64)) #s(literal -1/4 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (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))) |
(*.f64 (pow.f64 (pow.f64 (+.f64 y #s(literal 1/2 binary64)) #s(literal -3/4 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 y #s(literal 1/2 binary64)) #s(literal -1/4 binary64))) |
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (+.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (pow.f64 (+.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y y) #s(literal 1/8 binary64))) #s(literal 1 binary64)) (pow.f64 (-.f64 (fma.f64 y y #s(literal 1/4 binary64)) (*.f64 y #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -1/4 binary64))) #s(literal 1 binary64)) (pow.f64 (+.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(+.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 #s(literal 1/2 binary64) (log.f64 y) (*.f64 y (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)) |
(neg.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y))) |
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(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))))) |
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(/.f64 (-.f64 (*.f64 (pow.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x) #s(literal 2 binary64)) (-.f64 x (fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) y))) (*.f64 (-.f64 x (fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) y)) (*.f64 y y))) (pow.f64 (-.f64 x (fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) y)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) #s(literal 2 binary64)) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) (-.f64 y x))) (*.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) (-.f64 y x)) (*.f64 x x))) (*.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) (-.f64 y x)) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) (-.f64 y x)))) |
(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)) |
(pow.f64 (/.f64 (fma.f64 x (-.f64 x (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y)) (pow.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) #s(literal 2 binary64))) (fma.f64 x (*.f64 x x) (pow.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) (-.f64 y x)) (-.f64 (pow.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) #s(literal 2 binary64)) (*.f64 x x))) #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 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 (fma.f64 x (*.f64 x x) (pow.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y)) (pow.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) #s(literal 2 binary64))))) |
(*.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 (pow.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) #s(literal 2 binary64)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) (-.f64 y x)))) |
(exp.f64 (*.f64 (log.f64 z) #s(literal 3 binary64))) |
(exp.f64 (-.f64 (*.f64 (log.f64 z) #s(literal 2 binary64)) (*.f64 (log.f64 z) #s(literal -1 binary64)))) |
(-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z (neg.f64 z)))) |
(neg.f64 (*.f64 z (*.f64 z (neg.f64 z)))) |
(/.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 z (*.f64 z (*.f64 z (neg.f64 z)))) (neg.f64 z)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z)))) |
(/.f64 (*.f64 z (*.f64 z (neg.f64 z))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 z (*.f64 z (*.f64 z (neg.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 (*.f64 z z) z) |
(*.f64 (*.f64 z (*.f64 z z)) #s(literal 1 binary64)) |
(*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (/.f64 #s(literal 1 binary64) z))) |
(*.f64 (*.f64 z (*.f64 z (*.f64 z z))) (/.f64 #s(literal 1 binary64) z)) |
(*.f64 (*.f64 z (*.f64 z (*.f64 z (neg.f64 z)))) (neg.f64 (/.f64 #s(literal 1 binary64) z))) |
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 z (*.f64 z (*.f64 z z)))) |
(*.f64 (/.f64 #s(literal 1 binary64) z) (neg.f64 (*.f64 z (*.f64 z (*.f64 z (neg.f64 z)))))) |
(*.f64 #s(literal -1 binary64) (*.f64 z (*.f64 z (neg.f64 z)))) |
(*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 z (*.f64 z (*.f64 z (neg.f64 z))))) |
(*.f64 (neg.f64 (*.f64 z (*.f64 z (*.f64 z (neg.f64 z))))) (/.f64 #s(literal 1 binary64) z)) |
(*.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 z #s(literal 3/2 binary64))) |
#s(approx (/ 1 (+ y 1/2)) (/.f64 #s(literal 1 binary64) y)) |
Compiled 26 079 to 2 495 computations (90.4% saved)
48 alts after pruning (43 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 193 | 15 | 1 208 |
| Fresh | 7 | 28 | 35 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 201 | 48 | 1 249 |
| Status | Accuracy | Program |
|---|---|---|
| 99.0% | (fma.f64 (+.f64 x (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y)) (*.f64 (-.f64 x (fma.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y) y)) (/.f64 #s(literal 1 binary64) (-.f64 x (fma.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y) y)))) (neg.f64 z)) | |
| 33.4% | (/.f64 #s(approx (+ (* 1 (+ y z)) (* (/ 1 (+ (* (log y) (- -1/2 y)) x)) (* (+ y z) (- y z)))) (fma.f64 y (neg.f64 (/.f64 #s(literal 1 binary64) (log.f64 y))) y)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)) (+.f64 y z))) | |
| 59.1% | (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (log y) (- -1/2 y)) x)) (/.f64 #s(literal 1 binary64) x))) y) z) | |
| ✓ | 99.5% | (-.f64 (+.f64 (-.f64 x (/.f64 (log.f64 y) (pow.f64 (pow.f64 (+.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) y) z) |
| ✓ | 87.1% | (-.f64 (+.f64 (-.f64 x (/.f64 (log.f64 y) #s(approx (/ 1 (+ y 1/2)) (/.f64 #s(literal 1 binary64) y)))) y) z) |
| 58.7% | (-.f64 #s(approx (+ (/ 1 (/ 1 (+ (* (log y) (- -1/2 y)) x))) y) (fma.f64 (log.f64 y) (neg.f64 y) y)) z) | |
| 72.6% | (-.f64 #s(approx (+ (/ 1 (/ 1 (+ (* (log y) (- -1/2 y)) x))) y) (fma.f64 (log.f64 y) #s(literal -1/2 binary64) x)) z) | |
| 29.0% | #s(approx (/ (+ (* 1 (+ y z)) (* (/ 1 (+ (* (log y) (- -1/2 y)) x)) (* (+ y z) (- y z)))) (* (/ 1 (+ (* (log y) (- -1/2 y)) x)) (+ y z))) (fma.f64 (log.f64 y) (neg.f64 y) y)) | |
| 49.2% | #s(approx (/ (+ (* 1 (+ y z)) (* (/ 1 (+ (* (log y) (- -1/2 y)) x)) (* (+ y z) (- y z)))) (* (/ 1 (+ (* (log y) (- -1/2 y)) x)) (+ y z))) (/.f64 (*.f64 (fma.f64 (log.f64 y) #s(literal -1/2 binary64) x) (-.f64 z (/.f64 (*.f64 z z) (fma.f64 (log.f64 y) #s(literal -1/2 binary64) x)))) z)) | |
| 79.3% | #s(approx (/ (+ (* 1 (+ y z)) (* (/ 1 (+ (* (log y) (- -1/2 y)) x)) (* (+ y z) (- y z)))) (* (/ 1 (+ (* (log y) (- -1/2 y)) x)) (+ y z))) (*.f64 z (-.f64 (/.f64 (fma.f64 (+.f64 y #s(literal 1/2 binary64)) (neg.f64 (log.f64 y)) x) z) (-.f64 #s(literal 1 binary64) (/.f64 y z))))) | |
| 75.3% | #s(approx (- (+ (- x (/ (log y) (pow (pow (+ y 1/2) -1/2) 2))) y) z) (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)) | |
| 29.0% | #s(approx (- (+ (- x (/ (log y) (pow (pow (+ y 1/2) -1/2) 2))) y) z) (-.f64 y (*.f64 y (log.f64 y)))) | |
| 4.3% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) z) (*.f64 z (*.f64 z (*.f64 z (*.f64 z z))))) (*.f64 z z)) (*.f64 z z))) | |
| 4.9% | #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))) | |
| 4.9% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (*.f64 z (*.f64 z (*.f64 z (neg.f64 z)))) z) (*.f64 z z))) | |
| 9.9% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (*.f64 z (*.f64 z (neg.f64 z))) z) z)) | |
| 4.9% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z z) (neg.f64 (*.f64 z (*.f64 z (*.f64 z z)))))) (+.f64 #s(literal 0 binary64) z))) | |
| 5.0% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 z (*.f64 z (*.f64 z (neg.f64 z)))))) (*.f64 z z))) | |
| 7.0% | #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)))) | |
| 6.9% | #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 z z)))) | |
| 4.1% | #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)))))) | |
| 14.2% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)))) | |
| 6.9% | #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))))) | |
| 1.3% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 z (*.f64 z (*.f64 z z))) (*.f64 z (*.f64 z (*.f64 z z))))) (+.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z (*.f64 z z))))) (/.f64 #s(literal 1 binary64) z)) (*.f64 z z))) | |
| 4.9% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (*.f64 (*.f64 z (neg.f64 z)) (*.f64 z z)) (/.f64 #s(literal 1 binary64) z)) (*.f64 z z))) | |
| 2.7% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z))) (neg.f64 (*.f64 z (*.f64 z (*.f64 z (*.f64 z z))))))) | |
| 7.5% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (*.f64 z (neg.f64 z)) z) (*.f64 z z))) | |
| 2.8% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)))) (/.f64 #s(literal 1 binary64) z)) (*.f64 z (*.f64 z (*.f64 z z))))) | |
| 4.9% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (neg.f64 (*.f64 z (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z)))))) (/.f64 #s(literal 1 binary64) z)) (*.f64 z z))) | |
| 4.9% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (neg.f64 (*.f64 z (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 z (*.f64 z (*.f64 z z)))))) (/.f64 #s(literal 1 binary64) z)) (*.f64 z z))) | |
| 4.9% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (neg.f64 (*.f64 z (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (/.f64 #s(literal 1 binary64) z))))) (/.f64 #s(literal 1 binary64) z)) (*.f64 z z))) | |
| 4.0% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 z (*.f64 z (*.f64 z (neg.f64 z)))) (*.f64 z (*.f64 z z)))) | |
| ✓ | 14.3% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 z (neg.f64 z)) z)) |
| 31.9% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z))) | |
| 68.9% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))))) | |
| 56.5% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+.f64 #s(approx (+ (* (log y) (- -1/2 y)) y) (fma.f64 (log.f64 y) (neg.f64 y) y)) x)) | |
| 68.8% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+.f64 y (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x))))) | |
| 14.3% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+.f64 y #s(approx (+ (* (log y) (- -1/2 y)) x) #s(approx (+ (* (log y) -1/2) x) (*.f64 (log.f64 y) #s(literal -1/2 binary64)))))) | |
| 6.9% | #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))) | |
| 14.2% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (*.f64 z z) (/.f64 #s(literal -1 binary64) z))) | |
| 31.9% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (neg.f64 z) (*.f64 z (/.f64 #s(literal 1 binary64) z)))) | |
| ✓ | 32.0% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z)) |
| 41.1% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (+ (+ (* (log y) (- -1/2 y)) y) x) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y))) | |
| ✓ | 42.2% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (+ (+ (* (log y) (- -1/2 y)) y) x) (fma.f64 (log.f64 y) #s(literal -1/2 binary64) x))) |
| 15.2% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (+ (+ (* (log y) (- -1/2 y)) y) x) #s(approx (+ (* (log y) -1/2) x) (*.f64 (log.f64 y) #s(literal -1/2 binary64))))) | |
| 59.5% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (+ y (+ (* (log y) (- -1/2 y)) x)) (fma.f64 x (fma.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) (/.f64 #s(literal 1 binary64) x) (/.f64 y x)) x))) | |
| 59.3% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (+ y (+ (* (log y) (- -1/2 y)) x)) (fma.f64 x (-.f64 (/.f64 y x) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 y)))) x))) | |
| 20.6% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (+ y (+ (* (log y) (- -1/2 y)) x)) #s(approx (+ (* x (- (/ y x) (* (log y) (/ (+ y 1/2) x)))) x) (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) (/.f64 y x)))))) |
Compiled 2 170 to 745 computations (65.7% 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 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (neg.f64 z) (*.f64 z (/.f64 #s(literal 1 binary64) z)))) |
#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 (*.f64 z (neg.f64 z)) z) (*.f64 z z))) |
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (log y) (- -1/2 y)) x)) (/.f64 #s(literal 1 binary64) x))) y) z) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (*.f64 z (*.f64 z (neg.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 z (*.f64 z (*.f64 z (neg.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 (*.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 #s(literal 0 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (*.f64 z (*.f64 z (*.f64 z (neg.f64 z)))) z) (*.f64 z z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 (*.f64 z (*.f64 z z)) (*.f64 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 (neg.f64 (*.f64 z (*.f64 z (*.f64 z z)))) (/.f64 #s(literal 1 binary64) z)) (*.f64 z z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (*.f64 (*.f64 z (neg.f64 z)) (*.f64 z z)) (/.f64 #s(literal 1 binary64) z)) (*.f64 z z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 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 (neg.f64 (*.f64 z (*.f64 z (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (*.f64 z z))) (+.f64 #s(literal 0 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 z (*.f64 z (*.f64 z (neg.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))) (neg.f64 (*.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 (*.f64 z z) (neg.f64 (*.f64 z (*.f64 z (*.f64 z z)))))) (+.f64 #s(literal 0 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 (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 (-.f64 (*.f64 #s(literal 0 binary64) z) (*.f64 z (*.f64 z (*.f64 z (*.f64 z z))))) (*.f64 z 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 (neg.f64 (*.f64 (*.f64 z (*.f64 z 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 z (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (/.f64 #s(literal 1 binary64) z))))) (/.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 (/.f64 #s(literal 1 binary64) z) (*.f64 z (*.f64 z (*.f64 z z)))))) (/.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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z)))))) (/.f64 #s(literal 1 binary64) z)) (*.f64 z z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z))))) (+.f64 #s(literal 0 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 z (*.f64 z (*.f64 z z))) (*.f64 z (*.f64 z (*.f64 z z))))) (+.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z (*.f64 z z))))) (/.f64 #s(literal 1 binary64) z)) (*.f64 z z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (+ (+ (* (log y) (- -1/2 y)) y) x) #s(approx (+ (* (log y) -1/2) x) (*.f64 (log.f64 y) #s(literal -1/2 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) #s(approx (+ (+ (* (log y) (- -1/2 y)) y) x) (fma.f64 (log.f64 y) #s(literal -1/2 binary64) x))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+.f64 y #s(approx (+ (* (log y) (- -1/2 y)) x) #s(approx (+ (* (log y) -1/2) x) (*.f64 (log.f64 y) #s(literal -1/2 binary64)))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 (log.f64 y) (neg.f64 y) y)) |
#s(approx (- (+ (- x (/ (log y) (pow (pow (+ y 1/2) -1/2) 2))) y) z) (-.f64 y (*.f64 y (log.f64 y)))) |
#s(approx (/ (+ (* 1 (+ y z)) (* (/ 1 (+ (* (log y) (- -1/2 y)) x)) (* (+ y z) (- y z)))) (* (/ 1 (+ (* (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) #s(approx (+ (+ (* (log y) (- -1/2 y)) y) x) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+.f64 y #s(approx (+ (* (log y) (- -1/2 y)) x) (fma.f64 (log.f64 y) #s(literal -1/2 binary64) x)))) |
(-.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 (+ (/ 1 (/ 1 (+ (* (log y) (- -1/2 y)) x))) y) (fma.f64 (log.f64 y) #s(literal -1/2 binary64) x)) z) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+.f64 y #s(approx (+ (* (log y) (- -1/2 y)) x) (neg.f64 (*.f64 y (log.f64 y)))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+.f64 y #s(approx (+ (* (log y) (- -1/2 y)) x) (*.f64 (log.f64 y) (neg.f64 y))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (+ y (+ (* (log y) (- -1/2 y)) x)) (fma.f64 (+.f64 y #s(literal 1/2 binary64)) (neg.f64 (log.f64 y)) y))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+.f64 #s(approx (+ (* (log y) (- -1/2 y)) y) (fma.f64 (log.f64 y) (neg.f64 y) 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 (+ (/ 1 (/ 1 (+ (* (log y) (- -1/2 y)) x))) y) (fma.f64 (log.f64 y) (neg.f64 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 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) x)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))))) |
(-.f64 (+.f64 x (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y)) z) |
(-.f64 (+.f64 y x) (fma.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y) z)) |
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (+ y (+ (* (log y) (- -1/2 y)) x)) #s(approx (+ (* x (- (/ y x) (* (log y) (/ (+ y 1/2) x)))) x) (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) (/.f64 y x)))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 x (/.f64 (-.f64 y (fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) z)) x) x)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+.f64 y #s(approx (+ (* (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)))) |
(-.f64 (+.f64 (-.f64 x (/.f64 (log.f64 y) #s(approx (/ 1 (+ y 1/2)) (/.f64 #s(literal 1 binary64) y)))) y) z) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+.f64 y (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x))))) |
(-.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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x))) y) z) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (+ y (+ (* (log y) (- -1/2 y)) x)) (fma.f64 x (-.f64 (/.f64 y x) (*.f64 (log.f64 y) (/.f64 (+.f64 y #s(literal 1/2 binary64)) x))) 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))) (+.f64 x (-.f64 y z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (+ y (+ (* (log y) (- -1/2 y)) x)) (fma.f64 x (fma.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) (/.f64 #s(literal 1 binary64) x) (/.f64 y x)) x))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (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)) |
#s(approx (- (+ (- x (/ (log y) (/ 1 (+ y 1/2)))) y) z) (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)) |
#s(approx (- (+ (- x (/ (log y) (pow (pow (+ y 1/2) -1/2) 2))) y) z) (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)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (+ y (+ (* (log y) (- -1/2 y)) x)) (fma.f64 x (-.f64 (/.f64 y x) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 y)))) x))) |
#s(approx (/ (+ (* 1 (+ y z)) (* (/ 1 (+ (* (log y) (- -1/2 y)) x)) (* (+ y z) (- y z)))) (* (/ 1 (+ (* (log y) (- -1/2 y)) x)) (+ y z))) (*.f64 z (-.f64 (/.f64 (fma.f64 (+.f64 y #s(literal 1/2 binary64)) (neg.f64 (log.f64 y)) x) z) (-.f64 #s(literal 1 binary64) (/.f64 y z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) 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))))) |
#s(approx (/ (+ (* 1 (+ y z)) (* (/ 1 (+ (* (log y) (- -1/2 y)) x)) (* (+ y z) (- y z)))) (* (/ 1 (+ (* (log y) (- -1/2 y)) x)) (+ y z))) (/.f64 (*.f64 (fma.f64 (log.f64 y) #s(literal -1/2 binary64) x) (-.f64 z (/.f64 (*.f64 z z) (fma.f64 (log.f64 y) #s(literal -1/2 binary64) x)))) z)) |
(/.f64 #s(approx (+ (* 1 (+ y z)) (* (/ 1 (+ (* (log y) (- -1/2 y)) x)) (* (+ y z) (- y z)))) (fma.f64 y (neg.f64 (/.f64 #s(literal 1 binary64) (log.f64 y))) y)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)) (+.f64 y z))) |
(/.f64 (fma.f64 #s(literal 1 binary64) (+.f64 y z) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)) (*.f64 (+.f64 y z) (-.f64 y z)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)) (+.f64 y z))) |
(-.f64 (+.f64 (-.f64 x (/.f64 (log.f64 y) (pow.f64 (pow.f64 (+.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) y) z) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.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 x (fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) y)))) |
(-.f64 (/.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 x (fma.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y) y))) z) |
(fma.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y) (neg.f64 y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y) x) y)) (neg.f64 z)) |
(fma.f64 (+.f64 x (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y)) (*.f64 (-.f64 x (fma.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y) y)) (/.f64 #s(literal 1 binary64) (-.f64 x (fma.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y) y)))) (neg.f64 z)) |
(*.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))))) |
| Outputs |
|---|
(-.f64 (+.f64 x (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y)) z) |
5 calls:
| 29.0ms | z |
| 24.0ms | (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) |
| 23.0ms | x |
| 23.0ms | (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) |
| 23.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | x |
| 99.8% | 1 | y |
| 99.8% | 1 | z |
| 99.8% | 1 | (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) |
| 99.8% | 1 | (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) |
Compiled 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 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (neg.f64 z) (*.f64 z (/.f64 #s(literal 1 binary64) z)))) |
#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 (*.f64 z (neg.f64 z)) z) (*.f64 z z))) |
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (log y) (- -1/2 y)) x)) (/.f64 #s(literal 1 binary64) x))) y) z) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (*.f64 z (*.f64 z (neg.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 z (*.f64 z (*.f64 z (neg.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 (*.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 #s(literal 0 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (*.f64 z (*.f64 z (*.f64 z (neg.f64 z)))) z) (*.f64 z z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 (*.f64 z (*.f64 z z)) (*.f64 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 (neg.f64 (*.f64 z (*.f64 z (*.f64 z z)))) (/.f64 #s(literal 1 binary64) z)) (*.f64 z z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (*.f64 (*.f64 z (neg.f64 z)) (*.f64 z z)) (/.f64 #s(literal 1 binary64) z)) (*.f64 z z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 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 (neg.f64 (*.f64 z (*.f64 z (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (*.f64 z z))) (+.f64 #s(literal 0 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 z (*.f64 z (*.f64 z (neg.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))) (neg.f64 (*.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 (*.f64 z z) (neg.f64 (*.f64 z (*.f64 z (*.f64 z z)))))) (+.f64 #s(literal 0 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 (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 (-.f64 (*.f64 #s(literal 0 binary64) z) (*.f64 z (*.f64 z (*.f64 z (*.f64 z z))))) (*.f64 z 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 (neg.f64 (*.f64 (*.f64 z (*.f64 z 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 z (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (/.f64 #s(literal 1 binary64) z))))) (/.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 (/.f64 #s(literal 1 binary64) z) (*.f64 z (*.f64 z (*.f64 z z)))))) (/.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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z)))))) (/.f64 #s(literal 1 binary64) z)) (*.f64 z z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z))))) (+.f64 #s(literal 0 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 z (*.f64 z (*.f64 z z))) (*.f64 z (*.f64 z (*.f64 z z))))) (+.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z (*.f64 z z))))) (/.f64 #s(literal 1 binary64) z)) (*.f64 z z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (+ (+ (* (log y) (- -1/2 y)) y) x) #s(approx (+ (* (log y) -1/2) x) (*.f64 (log.f64 y) #s(literal -1/2 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) #s(approx (+ (+ (* (log y) (- -1/2 y)) y) x) (fma.f64 (log.f64 y) #s(literal -1/2 binary64) x))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+.f64 y #s(approx (+ (* (log y) (- -1/2 y)) x) #s(approx (+ (* (log y) -1/2) x) (*.f64 (log.f64 y) #s(literal -1/2 binary64)))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 (log.f64 y) (neg.f64 y) y)) |
#s(approx (- (+ (- x (/ (log y) (pow (pow (+ y 1/2) -1/2) 2))) y) z) (-.f64 y (*.f64 y (log.f64 y)))) |
#s(approx (/ (+ (* 1 (+ y z)) (* (/ 1 (+ (* (log y) (- -1/2 y)) x)) (* (+ y z) (- y z)))) (* (/ 1 (+ (* (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) #s(approx (+ (+ (* (log y) (- -1/2 y)) y) x) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+.f64 y #s(approx (+ (* (log y) (- -1/2 y)) x) (fma.f64 (log.f64 y) #s(literal -1/2 binary64) x)))) |
(-.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 (+ (/ 1 (/ 1 (+ (* (log y) (- -1/2 y)) x))) y) (fma.f64 (log.f64 y) #s(literal -1/2 binary64) x)) z) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+.f64 y #s(approx (+ (* (log y) (- -1/2 y)) x) (neg.f64 (*.f64 y (log.f64 y)))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+.f64 y #s(approx (+ (* (log y) (- -1/2 y)) x) (*.f64 (log.f64 y) (neg.f64 y))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (+ y (+ (* (log y) (- -1/2 y)) x)) (fma.f64 (+.f64 y #s(literal 1/2 binary64)) (neg.f64 (log.f64 y)) y))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+.f64 #s(approx (+ (* (log y) (- -1/2 y)) y) (fma.f64 (log.f64 y) (neg.f64 y) 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 (+ (/ 1 (/ 1 (+ (* (log y) (- -1/2 y)) x))) y) (fma.f64 (log.f64 y) (neg.f64 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 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) x)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))))) |
| 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) (+.f64 #s(approx (+ (* (log y) (- -1/2 y)) y) (fma.f64 (log.f64 y) (neg.f64 y) y)) x)) |
5 calls:
| 22.0ms | (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) |
| 21.0ms | x |
| 18.0ms | z |
| 17.0ms | y |
| 15.0ms | (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 83.4% | 4 | x |
| 91.6% | 2 | y |
| 92.4% | 3 | z |
| 87.0% | 2 | (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) |
| 92.3% | 3 | (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) |
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 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (neg.f64 z) (*.f64 z (/.f64 #s(literal 1 binary64) z)))) |
#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 (*.f64 z (neg.f64 z)) z) (*.f64 z z))) |
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (log y) (- -1/2 y)) x)) (/.f64 #s(literal 1 binary64) x))) y) z) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (*.f64 z (*.f64 z (neg.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 z (*.f64 z (*.f64 z (neg.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 (*.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 #s(literal 0 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (*.f64 z (*.f64 z (*.f64 z (neg.f64 z)))) z) (*.f64 z z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 (*.f64 z (*.f64 z z)) (*.f64 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 (neg.f64 (*.f64 z (*.f64 z (*.f64 z z)))) (/.f64 #s(literal 1 binary64) z)) (*.f64 z z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (*.f64 (*.f64 z (neg.f64 z)) (*.f64 z z)) (/.f64 #s(literal 1 binary64) z)) (*.f64 z z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 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 (neg.f64 (*.f64 z (*.f64 z (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (*.f64 z z))) (+.f64 #s(literal 0 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 z (*.f64 z (*.f64 z (neg.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))) (neg.f64 (*.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 (*.f64 z z) (neg.f64 (*.f64 z (*.f64 z (*.f64 z z)))))) (+.f64 #s(literal 0 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 (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 (-.f64 (*.f64 #s(literal 0 binary64) z) (*.f64 z (*.f64 z (*.f64 z (*.f64 z z))))) (*.f64 z 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 (neg.f64 (*.f64 (*.f64 z (*.f64 z 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 z (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (/.f64 #s(literal 1 binary64) z))))) (/.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 (/.f64 #s(literal 1 binary64) z) (*.f64 z (*.f64 z (*.f64 z z)))))) (/.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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z)))))) (/.f64 #s(literal 1 binary64) z)) (*.f64 z z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z))))) (+.f64 #s(literal 0 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 z (*.f64 z (*.f64 z z))) (*.f64 z (*.f64 z (*.f64 z z))))) (+.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z (*.f64 z z))))) (/.f64 #s(literal 1 binary64) z)) (*.f64 z z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (+ (+ (* (log y) (- -1/2 y)) y) x) #s(approx (+ (* (log y) -1/2) x) (*.f64 (log.f64 y) #s(literal -1/2 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) #s(approx (+ (+ (* (log y) (- -1/2 y)) y) x) (fma.f64 (log.f64 y) #s(literal -1/2 binary64) x))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+.f64 y #s(approx (+ (* (log y) (- -1/2 y)) x) #s(approx (+ (* (log y) -1/2) x) (*.f64 (log.f64 y) #s(literal -1/2 binary64)))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 (log.f64 y) (neg.f64 y) y)) |
#s(approx (- (+ (- x (/ (log y) (pow (pow (+ y 1/2) -1/2) 2))) y) z) (-.f64 y (*.f64 y (log.f64 y)))) |
#s(approx (/ (+ (* 1 (+ y z)) (* (/ 1 (+ (* (log y) (- -1/2 y)) x)) (* (+ y z) (- y z)))) (* (/ 1 (+ (* (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) #s(approx (+ (+ (* (log y) (- -1/2 y)) y) x) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+.f64 y #s(approx (+ (* (log y) (- -1/2 y)) x) (fma.f64 (log.f64 y) #s(literal -1/2 binary64) x)))) |
(-.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 (+ (/ 1 (/ 1 (+ (* (log y) (- -1/2 y)) x))) y) (fma.f64 (log.f64 y) #s(literal -1/2 binary64) x)) z) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+.f64 y #s(approx (+ (* (log y) (- -1/2 y)) x) (neg.f64 (*.f64 y (log.f64 y)))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+.f64 y #s(approx (+ (* (log y) (- -1/2 y)) x) (*.f64 (log.f64 y) (neg.f64 y))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (+ y (+ (* (log y) (- -1/2 y)) x)) (fma.f64 (+.f64 y #s(literal 1/2 binary64)) (neg.f64 (log.f64 y)) y))) |
| 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)) |
3 calls:
| 19.0ms | y |
| 15.0ms | (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) |
| 15.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 81.1% | 2 | (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) |
| 76.9% | 3 | z |
| 88.2% | 2 | 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 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (neg.f64 z) (*.f64 z (/.f64 #s(literal 1 binary64) z)))) |
#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 (*.f64 z (neg.f64 z)) z) (*.f64 z z))) |
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (log y) (- -1/2 y)) x)) (/.f64 #s(literal 1 binary64) x))) y) z) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (*.f64 z (*.f64 z (neg.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 z (*.f64 z (*.f64 z (neg.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 (*.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 #s(literal 0 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (*.f64 z (*.f64 z (*.f64 z (neg.f64 z)))) z) (*.f64 z z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 (*.f64 z (*.f64 z z)) (*.f64 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 (neg.f64 (*.f64 z (*.f64 z (*.f64 z z)))) (/.f64 #s(literal 1 binary64) z)) (*.f64 z z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (*.f64 (*.f64 z (neg.f64 z)) (*.f64 z z)) (/.f64 #s(literal 1 binary64) z)) (*.f64 z z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 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 (neg.f64 (*.f64 z (*.f64 z (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (*.f64 z z))) (+.f64 #s(literal 0 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 z (*.f64 z (*.f64 z (neg.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))) (neg.f64 (*.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 (*.f64 z z) (neg.f64 (*.f64 z (*.f64 z (*.f64 z z)))))) (+.f64 #s(literal 0 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 (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 (-.f64 (*.f64 #s(literal 0 binary64) z) (*.f64 z (*.f64 z (*.f64 z (*.f64 z z))))) (*.f64 z 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 (neg.f64 (*.f64 (*.f64 z (*.f64 z 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 z (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (/.f64 #s(literal 1 binary64) z))))) (/.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 (/.f64 #s(literal 1 binary64) z) (*.f64 z (*.f64 z (*.f64 z z)))))) (/.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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z)))))) (/.f64 #s(literal 1 binary64) z)) (*.f64 z z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z))))) (+.f64 #s(literal 0 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 z (*.f64 z (*.f64 z z))) (*.f64 z (*.f64 z (*.f64 z z))))) (+.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z (*.f64 z z))))) (/.f64 #s(literal 1 binary64) z)) (*.f64 z z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (+ (+ (* (log y) (- -1/2 y)) y) x) #s(approx (+ (* (log y) -1/2) x) (*.f64 (log.f64 y) #s(literal -1/2 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) #s(approx (+ (+ (* (log y) (- -1/2 y)) y) x) (fma.f64 (log.f64 y) #s(literal -1/2 binary64) x))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+.f64 y #s(approx (+ (* (log y) (- -1/2 y)) x) #s(approx (+ (* (log y) -1/2) x) (*.f64 (log.f64 y) #s(literal -1/2 binary64)))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 (log.f64 y) (neg.f64 y) y)) |
#s(approx (- (+ (- x (/ (log y) (pow (pow (+ y 1/2) -1/2) 2))) y) z) (-.f64 y (*.f64 y (log.f64 y)))) |
#s(approx (/ (+ (* 1 (+ y z)) (* (/ 1 (+ (* (log y) (- -1/2 y)) x)) (* (+ y z) (- y z)))) (* (/ 1 (+ (* (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) #s(approx (+ (+ (* (log y) (- -1/2 y)) y) x) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+.f64 y #s(approx (+ (* (log y) (- -1/2 y)) x) (fma.f64 (log.f64 y) #s(literal -1/2 binary64) x)))) |
| Outputs |
|---|
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (log y) (- -1/2 y)) x)) (/.f64 #s(literal 1 binary64) x))) y) z) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 (log.f64 y) (neg.f64 y) y)) |
5 calls:
| 19.0ms | (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) |
| 14.0ms | z |
| 13.0ms | y |
| 12.0ms | (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) |
| 12.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 75.9% | 4 | z |
| 72.2% | 3 | x |
| 73.9% | 4 | (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) |
| 75.7% | 5 | (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) |
| 75.2% | 2 | y |
Compiled 40 to 28 computations (30% saved)
| Inputs |
|---|
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 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 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (neg.f64 z) (*.f64 z (/.f64 #s(literal 1 binary64) z)))) |
#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 (*.f64 z (neg.f64 z)) z) (*.f64 z z))) |
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (log y) (- -1/2 y)) x)) (/.f64 #s(literal 1 binary64) x))) y) z) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (*.f64 z (*.f64 z (neg.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 z (*.f64 z (*.f64 z (neg.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 (*.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 #s(literal 0 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (*.f64 z (*.f64 z (*.f64 z (neg.f64 z)))) z) (*.f64 z z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 (*.f64 z (*.f64 z z)) (*.f64 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 (neg.f64 (*.f64 z (*.f64 z (*.f64 z z)))) (/.f64 #s(literal 1 binary64) z)) (*.f64 z z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (*.f64 (*.f64 z (neg.f64 z)) (*.f64 z z)) (/.f64 #s(literal 1 binary64) z)) (*.f64 z z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 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 (neg.f64 (*.f64 z (*.f64 z (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (*.f64 z z))) (+.f64 #s(literal 0 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 z (*.f64 z (*.f64 z (neg.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))) (neg.f64 (*.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 (*.f64 z z) (neg.f64 (*.f64 z (*.f64 z (*.f64 z z)))))) (+.f64 #s(literal 0 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 (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 (-.f64 (*.f64 #s(literal 0 binary64) z) (*.f64 z (*.f64 z (*.f64 z (*.f64 z z))))) (*.f64 z 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 (neg.f64 (*.f64 (*.f64 z (*.f64 z 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 z (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (/.f64 #s(literal 1 binary64) z))))) (/.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 (/.f64 #s(literal 1 binary64) z) (*.f64 z (*.f64 z (*.f64 z z)))))) (/.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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z)))))) (/.f64 #s(literal 1 binary64) z)) (*.f64 z z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z))))) (+.f64 #s(literal 0 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 z (*.f64 z (*.f64 z z))) (*.f64 z (*.f64 z (*.f64 z z))))) (+.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z (*.f64 z z))))) (/.f64 #s(literal 1 binary64) z)) (*.f64 z z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (+ (+ (* (log y) (- -1/2 y)) y) x) #s(approx (+ (* (log y) -1/2) x) (*.f64 (log.f64 y) #s(literal -1/2 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) #s(approx (+ (+ (* (log y) (- -1/2 y)) y) x) (fma.f64 (log.f64 y) #s(literal -1/2 binary64) x))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+.f64 y #s(approx (+ (* (log y) (- -1/2 y)) x) #s(approx (+ (* (log y) -1/2) x) (*.f64 (log.f64 y) #s(literal -1/2 binary64)))))) |
| Outputs |
|---|
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (log y) (- -1/2 y)) x)) (/.f64 #s(literal 1 binary64) x))) y) 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))) |
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (log y) (- -1/2 y)) x)) (/.f64 #s(literal 1 binary64) x))) y) z) |
5 calls:
| 13.0ms | x |
| 12.0ms | (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) |
| 12.0ms | y |
| 11.0ms | z |
| 11.0ms | (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 59.1% | 1 | x |
| 64.6% | 3 | (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) |
| 71.3% | 3 | (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) |
| 71.9% | 3 | z |
| 59.1% | 1 | 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 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (neg.f64 z) (*.f64 z (/.f64 #s(literal 1 binary64) z)))) |
#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 (*.f64 z (neg.f64 z)) z) (*.f64 z z))) |
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (log y) (- -1/2 y)) x)) (/.f64 #s(literal 1 binary64) x))) y) z) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (*.f64 z (*.f64 z (neg.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 z (*.f64 z (*.f64 z (neg.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 (*.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 #s(literal 0 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (*.f64 z (*.f64 z (*.f64 z (neg.f64 z)))) z) (*.f64 z z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 (*.f64 z (*.f64 z z)) (*.f64 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 (neg.f64 (*.f64 z (*.f64 z (*.f64 z z)))) (/.f64 #s(literal 1 binary64) z)) (*.f64 z z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (*.f64 (*.f64 z (neg.f64 z)) (*.f64 z z)) (/.f64 #s(literal 1 binary64) z)) (*.f64 z z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 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 (neg.f64 (*.f64 z (*.f64 z (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (*.f64 z z))) (+.f64 #s(literal 0 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 z (*.f64 z (*.f64 z (neg.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))) (neg.f64 (*.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 (*.f64 z z) (neg.f64 (*.f64 z (*.f64 z (*.f64 z z)))))) (+.f64 #s(literal 0 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 (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 (-.f64 (*.f64 #s(literal 0 binary64) z) (*.f64 z (*.f64 z (*.f64 z (*.f64 z z))))) (*.f64 z 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 (neg.f64 (*.f64 (*.f64 z (*.f64 z 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 z (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (/.f64 #s(literal 1 binary64) z))))) (/.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 (/.f64 #s(literal 1 binary64) z) (*.f64 z (*.f64 z (*.f64 z z)))))) (/.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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z)))))) (/.f64 #s(literal 1 binary64) z)) (*.f64 z z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z))))) (+.f64 #s(literal 0 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 z (*.f64 z (*.f64 z z))) (*.f64 z (*.f64 z (*.f64 z z))))) (+.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z (*.f64 z z))))) (/.f64 #s(literal 1 binary64) z)) (*.f64 z z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (+ (+ (* (log y) (- -1/2 y)) y) x) #s(approx (+ (* (log y) -1/2) x) (*.f64 (log.f64 y) #s(literal -1/2 binary64))))) |
| Outputs |
|---|
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (log y) (- -1/2 y)) x)) (/.f64 #s(literal 1 binary64) x))) y) z) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (+ (+ (* (log y) (- -1/2 y)) y) x) #s(approx (+ (* (log y) -1/2) x) (*.f64 (log.f64 y) #s(literal -1/2 binary64))))) |
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (log y) (- -1/2 y)) x)) (/.f64 #s(literal 1 binary64) x))) y) z) |
2 calls:
| 11.0ms | z |
| 10.0ms | (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 70.8% | 3 | (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) |
| 59.1% | 1 | z |
Compiled 19 to 13 computations (31.6% 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 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (neg.f64 z) (*.f64 z (/.f64 #s(literal 1 binary64) z)))) |
#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 (*.f64 z (neg.f64 z)) z) (*.f64 z z))) |
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (log y) (- -1/2 y)) x)) (/.f64 #s(literal 1 binary64) x))) y) z) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (*.f64 z (*.f64 z (neg.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 z (*.f64 z (*.f64 z (neg.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 (*.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 #s(literal 0 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (*.f64 z (*.f64 z (*.f64 z (neg.f64 z)))) z) (*.f64 z z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 (*.f64 z (*.f64 z z)) (*.f64 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 (neg.f64 (*.f64 z (*.f64 z (*.f64 z z)))) (/.f64 #s(literal 1 binary64) z)) (*.f64 z z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (*.f64 (*.f64 z (neg.f64 z)) (*.f64 z z)) (/.f64 #s(literal 1 binary64) z)) (*.f64 z z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 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 (neg.f64 (*.f64 z (*.f64 z (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (*.f64 z z))) (+.f64 #s(literal 0 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 z (*.f64 z (*.f64 z (neg.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))) (neg.f64 (*.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 (*.f64 z z) (neg.f64 (*.f64 z (*.f64 z (*.f64 z z)))))) (+.f64 #s(literal 0 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 (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 (-.f64 (*.f64 #s(literal 0 binary64) z) (*.f64 z (*.f64 z (*.f64 z (*.f64 z z))))) (*.f64 z 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 (neg.f64 (*.f64 (*.f64 z (*.f64 z 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 z (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (/.f64 #s(literal 1 binary64) z))))) (/.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 (/.f64 #s(literal 1 binary64) z) (*.f64 z (*.f64 z (*.f64 z z)))))) (/.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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z)))))) (/.f64 #s(literal 1 binary64) z)) (*.f64 z z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z))))) (+.f64 #s(literal 0 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 z (*.f64 z (*.f64 z z))) (*.f64 z (*.f64 z (*.f64 z z))))) (+.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z (*.f64 z z))))) (/.f64 #s(literal 1 binary64) z)) (*.f64 z z))) |
| Outputs |
|---|
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (log y) (- -1/2 y)) x)) (/.f64 #s(literal 1 binary64) x))) y) z) |
4 calls:
| 12.0ms | x |
| 11.0ms | (+.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 |
| Accuracy | Segments | Branch |
|---|---|---|
| 59.1% | 1 | x |
| 59.1% | 1 | y |
| 59.1% | 1 | (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) |
| 59.1% | 1 | (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) |
Compiled 36 to 25 computations (30.6% saved)
Total -16.0b remaining (-36.7%)
Threshold costs -16b (-36.7%)
| 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 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (neg.f64 z) (*.f64 z (/.f64 #s(literal 1 binary64) z)))) |
#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 (*.f64 z (neg.f64 z)) z) (*.f64 z z))) |
| Outputs |
|---|
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z)) |
5 calls:
| 4.0ms | x |
| 3.0ms | (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) |
| 3.0ms | (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) |
| 3.0ms | z |
| 3.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 32.0% | 1 | z |
| 32.0% | 1 | x |
| 32.0% | 1 | y |
| 32.0% | 1 | (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) |
| 32.0% | 1 | (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) |
Compiled 40 to 28 computations (30% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 13.0ms | 2.3640195410247982e+80 | 9.512278148470956e+82 |
| 8.0ms | 128× | 0 | valid |
Compiled 226 to 144 computations (36.3% saved)
ival-log: 2.0ms (40.9% of total)ival-sub: 1.0ms (20.5% of total)ival-add: 1.0ms (20.5% of total)ival-mult: 1.0ms (20.5% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 31.0ms | 7.4635458561183e+151 | 5.905424904293914e+153 |
| 26.0ms | 112× | 0 | valid |
Compiled 179 to 121 computations (32.4% saved)
ival-sub: 21.0ms (88.3% of total)ival-log: 1.0ms (4.2% of total)ival-add: 1.0ms (4.2% of total)ival-mult: 1.0ms (4.2% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 4.0ms | 7.4635458561183e+151 | 5.905424904293914e+153 |
| 2.0ms | 32× | 0 | valid |
Compiled 193 to 128 computations (33.7% 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)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 5.0ms | 9.613846678807784e+20 | 1.289007785943756e+21 |
| 5.0ms | -1.03954745186373e+49 | -8.8554776043258e+48 |
| 6.0ms | 96× | 0 | valid |
Compiled 168 to 112 computations (33.3% saved)
ival-sub: 1.0ms (26.6% of total)ival-log: 1.0ms (26.6% of total)ival-add: 1.0ms (26.6% of total)ival-mult: 1.0ms (26.6% 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 | 354.21816404209443 | 11030032598642.29 |
| 0.0ms | -1.0810468808639457e+30 | -1.089074847604184e+20 |
Compiled 18 to 16 computations (11.1% saved)
| 1× | egg-herbie |
| 34× | +-commutative_binary64 |
| 24× | sub-neg_binary64 |
| 16× | *-commutative_binary64 |
| 12× | neg-sub0_binary64 |
| 12× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 74 | 364 |
| 1 | 99 | 364 |
| 2 | 121 | 364 |
| 3 | 133 | 364 |
| 4 | 139 | 364 |
| 5 | 141 | 364 |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (+.f64 x (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y)) z) |
(if (<=.f64 y #s(literal 1149999999999999941067849380582806162601237041519191125250026577906257146987675648 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) (+.f64 #s(approx (+ (* (log y) (- -1/2 y)) y) (fma.f64 (log.f64 y) (neg.f64 y) y)) x))) |
(if (<=.f64 y #s(literal 154999999999999999028323898540712010549474073866711882401644287464010183165668228108084273947358567701244208804107086135384824428569291929196327373635584 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 y #s(literal 135000000000000007406837942343640314780573560354155384429875958821426844017986847435590477822411301250091725450182787194961221450873081119112277818081280 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (log y) (- -1/2 y)) x)) (/.f64 #s(literal 1 binary64) x))) y) z) #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 (log.f64 y) (neg.f64 y) y))) |
(if (<=.f64 z #s(literal -8999999999999999907834756918045686016972398002176 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (log y) (- -1/2 y)) x)) (/.f64 #s(literal 1 binary64) x))) y) z) (if (<=.f64 z #s(literal 980000000000000000000 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))) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (log y) (- -1/2 y)) x)) (/.f64 #s(literal 1 binary64) x))) y) z))) |
(if (<=.f64 (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) #s(literal -1000000000000000019884624838656 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (log y) (- -1/2 y)) x)) (/.f64 #s(literal 1 binary64) x))) y) z) (if (<=.f64 (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) #s(literal 500 binary64)) #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (+ (+ (* (log y) (- -1/2 y)) y) x) #s(approx (+ (* (log y) -1/2) x) (*.f64 (log.f64 y) #s(literal -1/2 binary64))))) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (log y) (- -1/2 y)) x)) (/.f64 #s(literal 1 binary64) x))) y) z))) |
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (log y) (- -1/2 y)) x)) (/.f64 #s(literal 1 binary64) x))) y) z) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z)) |
| Outputs |
|---|
(-.f64 (+.f64 x (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y)) z) |
(if (<=.f64 y #s(literal 1149999999999999941067849380582806162601237041519191125250026577906257146987675648 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) (+.f64 #s(approx (+ (* (log y) (- -1/2 y)) y) (fma.f64 (log.f64 y) (neg.f64 y) y)) x))) |
(if (<=.f64 y #s(literal 1149999999999999941067849380582806162601237041519191125250026577906257146987675648 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) (+.f64 x #s(approx (+ (* (log y) (- -1/2 y)) y) (fma.f64 (log.f64 y) (neg.f64 y) y))))) |
(if (<=.f64 y #s(literal 154999999999999999028323898540712010549474073866711882401644287464010183165668228108084273947358567701244208804107086135384824428569291929196327373635584 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 y #s(literal 135000000000000007406837942343640314780573560354155384429875958821426844017986847435590477822411301250091725450182787194961221450873081119112277818081280 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (log y) (- -1/2 y)) x)) (/.f64 #s(literal 1 binary64) x))) y) z) #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 (log.f64 y) (neg.f64 y) y))) |
(if (<=.f64 y #s(literal 135000000000000007406837942343640314780573560354155384429875958821426844017986847435590477822411301250091725450182787194961221450873081119112277818081280 binary64)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (log y) (- -1/2 y)) x)) (/.f64 #s(literal 1 binary64) x)))) z) #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 (log.f64 y) (neg.f64 y) y))) |
(if (<=.f64 z #s(literal -8999999999999999907834756918045686016972398002176 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (log y) (- -1/2 y)) x)) (/.f64 #s(literal 1 binary64) x))) y) z) (if (<=.f64 z #s(literal 980000000000000000000 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))) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (log y) (- -1/2 y)) x)) (/.f64 #s(literal 1 binary64) x))) y) z))) |
(if (<=.f64 z #s(literal -8999999999999999907834756918045686016972398002176 binary64)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (log y) (- -1/2 y)) x)) (/.f64 #s(literal 1 binary64) x)))) z) (if (<=.f64 z #s(literal 980000000000000000000 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))) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (log y) (- -1/2 y)) x)) (/.f64 #s(literal 1 binary64) x)))) z))) |
(if (<=.f64 (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) #s(literal -1000000000000000019884624838656 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (log y) (- -1/2 y)) x)) (/.f64 #s(literal 1 binary64) x))) y) z) (if (<=.f64 (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) #s(literal 500 binary64)) #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (+ (+ (* (log y) (- -1/2 y)) y) x) #s(approx (+ (* (log y) -1/2) x) (*.f64 (log.f64 y) #s(literal -1/2 binary64))))) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (log y) (- -1/2 y)) x)) (/.f64 #s(literal 1 binary64) x))) y) z))) |
(if (<=.f64 (-.f64 (+.f64 y (-.f64 x (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))))) z) #s(literal -1000000000000000019884624838656 binary64)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (log y) (- -1/2 y)) x)) (/.f64 #s(literal 1 binary64) x)))) z) (if (<=.f64 (-.f64 (+.f64 y (-.f64 x (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))))) z) #s(literal 500 binary64)) #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (+ (+ (* (log y) (- -1/2 y)) y) x) #s(approx (+ (* (log y) -1/2) x) (*.f64 (log.f64 y) #s(literal -1/2 binary64))))) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (log y) (- -1/2 y)) x)) (/.f64 #s(literal 1 binary64) x)))) z))) |
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (log y) (- -1/2 y)) x)) (/.f64 #s(literal 1 binary64) x))) y) z) |
(-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (log y) (- -1/2 y)) x)) (/.f64 #s(literal 1 binary64) x)))) z) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z)) |
| 14 158× | lower-fma.f64 |
| 14 158× | lower-fma.f32 |
| 12 810× | lower-fma.f64 |
| 12 810× | lower-fma.f32 |
| 10 870× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 301 | 6718 |
| 1 | 960 | 6207 |
| 2 | 2873 | 5770 |
| 0 | 8225 | 5347 |
| 0 | 127 | 1274 |
| 1 | 415 | 1196 |
| 2 | 1319 | 1105 |
| 3 | 4703 | 1074 |
| 0 | 8535 | 991 |
| 0 | 233 | 5447 |
| 1 | 718 | 5046 |
| 2 | 2022 | 4786 |
| 3 | 6810 | 4752 |
| 0 | 8565 | 4489 |
| 0 | 33 | 220 |
| 0 | 54 | 176 |
| 1 | 298 | 174 |
| 2 | 2953 | 174 |
| 0 | 9820 | 173 |
| 0 | 10 | 36 |
| 0 | 16 | 36 |
| 1 | 79 | 36 |
| 2 | 699 | 36 |
| 0 | 8843 | 33 |
| 0 | 1141 | 15364 |
| 1 | 3837 | 13283 |
| 0 | 8463 | 12720 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 496 to 237 computations (52.2% saved)
Compiled 422 to 136 computations (67.8% saved)
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