
Time bar (total: 14.5s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 100% | 49.9% | 0% | 0.1% | 0% | 49.9% | 0% | 3 |
Compiled 14 to 12 computations (14.3% saved)
| 887.0ms | 8 254× | 0 | valid |
| 0.0ms | 2× | 2 | valid |
ival-log: 167.0ms (31.9% of total)ival-add: 165.0ms (31.5% of total)ival-sub: 123.0ms (23.5% of total)ival-mult: 56.0ms (10.7% of total)ival-true: 6.0ms (1.1% of total)exact: 5.0ms (1% of total)ival-assert: 3.0ms (0.6% of total)adjust: 0.0ms (0% of total)| 2× | egg-herbie |
| 4 224× | accelerator-lowering-fma.f32 |
| 4 224× | accelerator-lowering-fma.f64 |
| 1 038× | associate-+l- |
| 1 008× | +-lowering-+.f64 |
| 1 008× | --lowering--.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 131 |
| 1 | 125 | 125 |
| 2 | 484 | 123 |
| 3 | 2087 | 122 |
| 4 | 4936 | 122 |
| 5 | 6339 | 122 |
| 6 | 7365 | 122 |
| 7 | 7764 | 122 |
| 0 | 10 | 12 |
| 1 | 24 | 12 |
| 2 | 74 | 12 |
| 3 | 293 | 12 |
| 4 | 844 | 12 |
| 5 | 2199 | 12 |
| 6 | 3138 | 12 |
| 7 | 3785 | 12 |
| 8 | 3864 | 12 |
| 9 | 3865 | 12 |
| 10 | 3865 | 12 |
| 11 | 3903 | 12 |
| 12 | 3910 | 12 |
| 13 | 3910 | 12 |
| 0 | 3910 | 11 |
| 1× | iter limit |
| 1× | saturated |
| 1× | node limit |
| Inputs |
|---|
(- (+ (- x (* (+ y 1/2) (log y))) y) z) |
| Outputs |
|---|
(- (+ (- x (* (+ y 1/2) (log y))) y) z) |
(-.f64 (-.f64 x (-.f64 z y)) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) |
| Inputs |
|---|
(- (+ (- x (* (+ y 1/2) (log y))) y) z) |
(- (+ (- (neg x) (* (+ y 1/2) (log y))) y) z) |
(- (+ (- x (* (+ (neg y) 1/2) (log (neg y)))) (neg y)) z) |
(- (+ (- x (* (+ y 1/2) (log y))) y) (neg z)) |
(neg (- (+ (- (neg x) (* (+ y 1/2) (log y))) y) z)) |
(neg (- (+ (- x (* (+ (neg y) 1/2) (log (neg y)))) (neg y)) z)) |
(neg (- (+ (- x (* (+ y 1/2) (log y))) y) (neg z))) |
(- (+ (- y (* (+ x 1/2) (log x))) x) z) |
(- (+ (- z (* (+ y 1/2) (log y))) y) x) |
(- (+ (- x (* (+ z 1/2) (log z))) z) y) |
| Outputs |
|---|
(- (+ (- x (* (+ y 1/2) (log y))) y) z) |
(+ (* (log y) (- -1/2 y)) (+ y (- x z))) |
(- (+ (- (neg x) (* (+ y 1/2) (log y))) y) z) |
(+ (* (log y) (- -1/2 y)) (- (- y z) x)) |
(- (+ (- x (* (+ (neg y) 1/2) (log (neg y)))) (neg y)) z) |
(+ (* (log (neg y)) (+ y -1/2)) (- x (+ y z))) |
(- (+ (- x (* (+ y 1/2) (log y))) y) (neg z)) |
(+ (* (log y) (- -1/2 y)) (+ z (+ x y))) |
(neg (- (+ (- (neg x) (* (+ y 1/2) (log y))) y) z)) |
(+ (* (+ y 1/2) (log y)) (+ x (- z y))) |
(neg (- (+ (- x (* (+ (neg y) 1/2) (log (neg y)))) (neg y)) z)) |
(+ (* (- 1/2 y) (log (neg y))) (+ z (- y x))) |
(neg (- (+ (- x (* (+ y 1/2) (log y))) y) (neg z))) |
(- (* (+ y 1/2) (log y)) (+ x (+ y z))) |
(- (+ (- y (* (+ x 1/2) (log x))) x) z) |
(+ (* (log x) (- -1/2 x)) (- (+ x y) z)) |
(- (+ (- z (* (+ y 1/2) (log y))) y) x) |
(+ (* (log y) (- -1/2 y)) (+ z (- y x))) |
(- (+ (- x (* (+ z 1/2) (log z))) z) y) |
(+ (* (log z) (- -1/2 z)) (+ x (- z y))) |
| 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 |
| 48.0ms | 512× | 0 | valid |
Compiled 124 to 44 computations (64.5% saved)
ival-log: 14.0ms (45.9% of total)ival-add: 7.0ms (23% of total)ival-sub: 4.0ms (13.1% of total)ival-mult: 3.0ms (9.8% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)Compiled 15 to 10 computations (33.3% 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 x (*.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) |
| 4 224× | accelerator-lowering-fma.f32 |
| 4 224× | accelerator-lowering-fma.f64 |
| 1 008× | +-lowering-+.f64 |
| 1 008× | --lowering--.f32 |
| 1 008× | +-lowering-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 45 |
| 1 | 24 | 45 |
| 2 | 74 | 45 |
| 3 | 293 | 45 |
| 4 | 844 | 45 |
| 5 | 2199 | 45 |
| 6 | 3138 | 45 |
| 7 | 3785 | 45 |
| 8 | 3864 | 45 |
| 9 | 3865 | 45 |
| 10 | 3865 | 45 |
| 11 | 3903 | 45 |
| 12 | 3910 | 45 |
| 13 | 3910 | 45 |
| 0 | 3910 | 42 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(- (+ (- x (* (+ y 1/2) (log y))) y) z) |
(+ (- x (* (+ y 1/2) (log y))) y) |
(- x (* (+ y 1/2) (log y))) |
x |
(* (+ y 1/2) (log y)) |
(+ y 1/2) |
y |
1/2 |
(log y) |
z |
| Outputs |
|---|
(- (+ (- x (* (+ y 1/2) (log y))) y) z) |
(-.f64 (-.f64 x (-.f64 z y)) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) |
(+ (- x (* (+ y 1/2) (log y))) y) |
(-.f64 (+.f64 x y) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) |
(- x (* (+ y 1/2) (log y))) |
(+.f64 x (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y))) |
x |
(* (+ y 1/2) (log y)) |
(*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) |
(+ y 1/2) |
(+.f64 y #s(literal 1/2 binary64)) |
y |
1/2 |
#s(literal 1/2 binary64) |
(log y) |
(log.f64 y) |
z |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) |
| ✓ | accuracy | 100.0% | (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) |
| ✓ | 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)) |
| 20.0ms | 256× | 0 | valid |
Compiled 47 to 12 computations (74.5% saved)
ival-log: 3.0ms (26.5% of total)ival-add: 3.0ms (26.5% of total)ival-mult: 3.0ms (26.5% of total)ival-sub: 2.0ms (17.7% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (- (+ (- x (* (+ y 1/2) (log y))) y) z)> |
#<alt (+ (- x (* (+ y 1/2) (log y))) y)> |
#<alt (- x (* (+ y 1/2) (log y)))> |
#<alt (* (+ y 1/2) (log y))> |
| Outputs |
|---|
#<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 (* (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)))))> |
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 18.0ms | x | @ | 0 | (- (+ (- x (* (+ y 1/2) (log y))) y) z) |
| 4.0ms | y | @ | 0 | (- (+ (- x (* (+ y 1/2) (log y))) y) z) |
| 3.0ms | y | @ | -inf | (- (+ (- x (* (+ y 1/2) (log y))) y) z) |
| 2.0ms | y | @ | inf | (- (+ (- x (* (+ y 1/2) (log y))) y) z) |
| 1.0ms | z | @ | 0 | (- (+ (- x (* (+ y 1/2) (log y))) y) z) |
| 1× | batch-egg-rewrite |
| 9 014× | accelerator-lowering-fma.f32 |
| 9 014× | accelerator-lowering-fma.f64 |
| 5 554× | *-lowering-*.f32 |
| 5 554× | *-lowering-*.f64 |
| 4 034× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 36 |
| 1 | 73 | 36 |
| 2 | 693 | 36 |
| 0 | 8827 | 33 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (+ (- x (* (+ y 1/2) (log y))) y) z) |
(+ (- x (* (+ y 1/2) (log y))) y) |
(- x (* (+ y 1/2) (log y))) |
(* (+ y 1/2) (log y)) |
| Outputs |
|---|
(+.f64 x (+.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) (-.f64 y z))) |
(+.f64 x (neg.f64 (-.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) (-.f64 y z)))) |
(+.f64 y (+.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) (-.f64 x z))) |
(+.f64 y (+.f64 (-.f64 #s(literal 0 binary64) z) (+.f64 x (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y))))) |
(+.f64 (+.f64 x (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y))) (-.f64 y z)) |
(+.f64 (+.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) (+.f64 x y)) (-.f64 #s(literal 0 binary64) z)) |
(+.f64 (-.f64 #s(literal 0 binary64) z) (+.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) (+.f64 x y))) |
(+.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) (+.f64 x (-.f64 y z))) |
(+.f64 (-.f64 y z) (+.f64 x (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)))) |
(+.f64 (/.f64 (pow.f64 (+.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) (+.f64 x y)) #s(literal 3 binary64)) (+.f64 (pow.f64 (+.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) (+.f64 x y)) #s(literal 2 binary64)) (*.f64 z (+.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) (+.f64 x (+.f64 y z)))))) (neg.f64 (/.f64 (*.f64 z (*.f64 z z)) (+.f64 (pow.f64 (+.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) (+.f64 x y)) #s(literal 2 binary64)) (*.f64 z (+.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) (+.f64 x (+.f64 y z)))))))) |
(+.f64 (/.f64 (pow.f64 (+.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) (+.f64 x y)) #s(literal 2 binary64)) (+.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) (+.f64 x (+.f64 y z)))) (neg.f64 (/.f64 (*.f64 z z) (+.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) (+.f64 x (+.f64 y z)))))) |
(+.f64 (+.f64 y x) (+.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) (-.f64 #s(literal 0 binary64) z))) |
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(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)))) #s(literal -1 binary64)) |
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(*.f64 (+.f64 (*.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 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) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (*.f64 (log.f64 y) (+.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)))))) (*.f64 (+.f64 x (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (*.f64 (log.f64 y) (+.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))))))))) |
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))))) |
(*.f64 (+.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) (*.f64 (+.f64 x (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y))) (/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)))))) |
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.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 #s(literal 0 binary64) (+.f64 (*.f64 x x) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (*.f64 (log.f64 y) (+.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))))))))) |
(*.f64 (+.f64 (neg.f64 (*.f64 x x)) (pow.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) (neg.f64 x)))) |
(*.f64 #s(literal 1 binary64) (+.f64 x (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)))) |
(+.f64 (*.f64 (log.f64 y) y) (*.f64 (log.f64 y) #s(literal 1/2 binary64))) |
(+.f64 (*.f64 (log.f64 y) #s(literal 1/2 binary64)) (*.f64 (log.f64 y) y)) |
(+.f64 (*.f64 y (log.f64 y)) (*.f64 #s(literal 1/2 binary64) (log.f64 y))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 y)) (*.f64 y (log.f64 y))) |
(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)) |
(/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 y y) (+.f64 #s(literal 1/4 binary64) (*.f64 y #s(literal -1/2 binary64)))) (*.f64 (log.f64 y) (+.f64 (*.f64 y (*.f64 y y)) #s(literal 1/8 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y #s(literal -1/2 binary64)) (*.f64 (log.f64 y) (+.f64 (*.f64 y y) #s(literal -1/4 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 y y) (+.f64 #s(literal 1/4 binary64) (*.f64 y #s(literal -1/2 binary64)))) (*.f64 (+.f64 (*.f64 y (*.f64 y y)) #s(literal 1/8 binary64)) (log.f64 y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y #s(literal -1/2 binary64)) (*.f64 (+.f64 (*.f64 y y) #s(literal -1/4 binary64)) (log.f64 y)))) |
(/.f64 (*.f64 (log.f64 y) (+.f64 (*.f64 y (*.f64 y y)) #s(literal 1/8 binary64))) (+.f64 (*.f64 y y) (+.f64 #s(literal 1/4 binary64) (*.f64 y #s(literal -1/2 binary64))))) |
(/.f64 (*.f64 (log.f64 y) (+.f64 (*.f64 y (*.f64 y y)) #s(literal 1/8 binary64))) (+.f64 #s(literal 1/4 binary64) (*.f64 y (+.f64 y #s(literal -1/2 binary64))))) |
(/.f64 (*.f64 (log.f64 y) (+.f64 (*.f64 y y) #s(literal -1/4 binary64))) (+.f64 y #s(literal -1/2 binary64))) |
(/.f64 (*.f64 (+.f64 (*.f64 y (*.f64 y y)) #s(literal 1/8 binary64)) (log.f64 y)) (+.f64 (*.f64 y y) (+.f64 #s(literal 1/4 binary64) (*.f64 y #s(literal -1/2 binary64))))) |
(/.f64 (*.f64 (+.f64 (*.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 (+.f64 (*.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) (+.f64 (*.f64 y (*.f64 y y)) #s(literal 1/8 binary64)))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 y y) (+.f64 #s(literal 1/4 binary64) (*.f64 y #s(literal -1/2 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (log.f64 y) (+.f64 (*.f64 y y) #s(literal -1/4 binary64)))) (+.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 1/2 binary64))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (*.f64 y (*.f64 y y)) #s(literal 1/8 binary64)) (log.f64 y))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 y y) (+.f64 #s(literal 1/4 binary64) (*.f64 y #s(literal -1/2 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (*.f64 y y) #s(literal -1/4 binary64)) (log.f64 y))) (+.f64 (-.f64 #s(literal 0 binary64) 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))) (+.f64 (*.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))) (+.f64 (*.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))) (+.f64 (*.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))) (+.f64 (*.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) (+.f64 #s(literal -1/8 binary64) (neg.f64 (*.f64 y (*.f64 y y))))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 y y) (+.f64 #s(literal 1/4 binary64) (*.f64 y #s(literal -1/2 binary64)))))) |
(/.f64 (*.f64 (log.f64 y) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) #s(literal 1/4 binary64))) (+.f64 (-.f64 #s(literal 0 binary64) 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 (+.f64 #s(literal -1/8 binary64) (neg.f64 (*.f64 y (*.f64 y y)))) (log.f64 y)) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 y y) (+.f64 #s(literal 1/4 binary64) (*.f64 y #s(literal -1/2 binary64)))))) |
(/.f64 (*.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) #s(literal 1/4 binary64)) (log.f64 y)) (+.f64 (-.f64 #s(literal 0 binary64) 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 (+.f64 (*.f64 y (*.f64 y y)) #s(literal 1/8 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y y) (+.f64 #s(literal 1/4 binary64) (*.f64 y #s(literal -1/2 binary64))))) (log.f64 y))) |
(*.f64 (+.f64 (*.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) (+.f64 (*.f64 y (*.f64 y y)) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y y) (+.f64 #s(literal 1/4 binary64) (*.f64 y #s(literal -1/2 binary64)))))) |
(*.f64 (*.f64 (log.f64 y) (+.f64 (*.f64 y y) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1/2 binary64)))) |
(*.f64 (*.f64 (+.f64 (*.f64 y (*.f64 y y)) #s(literal 1/8 binary64)) (log.f64 y)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y y) (+.f64 #s(literal 1/4 binary64) (*.f64 y #s(literal -1/2 binary64)))))) |
(*.f64 (*.f64 (+.f64 (*.f64 y y) #s(literal -1/4 binary64)) (log.f64 y)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1/2 binary64)))) |
| 1× | egg-herbie |
| 12 810× | accelerator-lowering-fma.f32 |
| 12 810× | accelerator-lowering-fma.f64 |
| 3 236× | *-lowering-*.f32 |
| 3 236× | *-lowering-*.f64 |
| 2 922× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 127 | 1274 |
| 1 | 415 | 1196 |
| 2 | 1319 | 1105 |
| 3 | 4703 | 1074 |
| 0 | 8540 | 991 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- 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))))) |
| Outputs |
|---|
(- y (+ z (* (log y) (+ 1/2 y)))) |
(+.f64 (-.f64 y z) (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y))) |
(- (+ x y) (+ z (* (log y) (+ 1/2 y)))) |
(+.f64 y (+.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) (-.f64 x z))) |
(- (+ x y) (+ z (* (log y) (+ 1/2 y)))) |
(+.f64 y (+.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) (-.f64 x z))) |
(- (+ x y) (+ z (* (log y) (+ 1/2 y)))) |
(+.f64 y (+.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) (-.f64 x z))) |
x |
(* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x)))) |
(+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 y z) x))) (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y))) |
(* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x)))) |
(+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 y z) x))) (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y))) |
(* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x)))) |
(+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 y z) x))) (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y))) |
x |
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1))) |
(+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 y z) x))) (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y))) |
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1))) |
(+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 y z) x))) (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y))) |
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1))) |
(+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 y z) x))) (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y))) |
(- x (+ z (* 1/2 (log y)))) |
(+.f64 x (-.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64)) z)) |
(- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y)))) |
(+.f64 y (+.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) (-.f64 x z))) |
(- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y)))) |
(+.f64 y (+.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) (-.f64 x z))) |
(- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y)))) |
(+.f64 y (+.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) (-.f64 x z))) |
(* y (- 1 (* -1 (log (/ 1 y))))) |
(*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y))) |
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y))))) |
(*.f64 y (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 y)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) y))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) y)))) |
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y))))) |
(*.f64 y (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 y)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) y))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) y)))) |
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y))))) |
(*.f64 y (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 y)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) y))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) y)))) |
(* y (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))) |
(*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #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))) |
(* -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 (+.f64 y x) (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y))) |
(- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y))) |
(+.f64 y (+.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) (-.f64 x z))) |
(- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y))) |
(+.f64 y (+.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) (-.f64 x z))) |
(- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y))) |
(+.f64 y (+.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) (-.f64 x z))) |
(* -1 z) |
(-.f64 #s(literal 0 binary64) z) |
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z)))) |
(*.f64 z (+.f64 #s(literal -1 binary64) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 y x)) (*.f64 (log.f64 y) (/.f64 (-.f64 #s(literal -1/2 binary64) y) z))))) |
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z)))) |
(*.f64 z (+.f64 #s(literal -1 binary64) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 y x)) (*.f64 (log.f64 y) (/.f64 (-.f64 #s(literal -1/2 binary64) y) z))))) |
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z)))) |
(*.f64 z (+.f64 #s(literal -1 binary64) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 y x)) (*.f64 (log.f64 y) (/.f64 (-.f64 #s(literal -1/2 binary64) y) z))))) |
(* -1 z) |
(-.f64 #s(literal 0 binary64) z) |
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z))))) |
(+.f64 y (+.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) (-.f64 x z))) |
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z))))) |
(+.f64 y (+.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) (-.f64 x z))) |
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z))))) |
(+.f64 y (+.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) (-.f64 x z))) |
(- y (* (log y) (+ 1/2 y))) |
(-.f64 y (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))) |
(- (+ x y) (* (log y) (+ 1/2 y))) |
(+.f64 (+.f64 y x) (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y))) |
(- (+ x y) (* (log y) (+ 1/2 y))) |
(+.f64 (+.f64 y x) (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y))) |
(- (+ x y) (* (log y) (+ 1/2 y))) |
(+.f64 (+.f64 y x) (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y))) |
x |
(* x (- (+ 1 (/ y x)) (/ (* (log y) (+ 1/2 y)) x))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 y (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))) x))) |
(* x (- (+ 1 (/ y x)) (/ (* (log y) (+ 1/2 y)) x))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 y (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))) x))) |
(* x (- (+ 1 (/ y x)) (/ (* (log y) (+ 1/2 y)) x))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 y (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))) x))) |
x |
(* -1 (* x (- (* -1 (/ (- y (* (log y) (+ 1/2 y))) x)) 1))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 y (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))) x))) |
(* -1 (* x (- (* -1 (/ (- y (* (log y) (+ 1/2 y))) x)) 1))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 y (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))) x))) |
(* -1 (* x (- (* -1 (/ (- y (* (log y) (+ 1/2 y))) x)) 1))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 y (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))) x))) |
(- x (* 1/2 (log y))) |
(+.f64 x (*.f64 (log.f64 y) #s(literal -1/2 binary64))) |
(- (+ x (* y (- 1 (log y)))) (* 1/2 (log y))) |
(+.f64 (+.f64 y x) (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y))) |
(- (+ x (* y (- 1 (log y)))) (* 1/2 (log y))) |
(+.f64 (+.f64 y x) (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y))) |
(- (+ x (* y (- 1 (log y)))) (* 1/2 (log y))) |
(+.f64 (+.f64 y x) (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y))) |
(* y (- 1 (* -1 (log (/ 1 y))))) |
(*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y))) |
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))))) |
(+.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))) |
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))))) |
(+.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))) |
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))))) |
(+.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))) |
(* y (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))) |
(*.f64 y (+.f64 #s(literal 1 binary64) (-.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 (* -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 (* (log y) (+ 1/2 y))) |
(*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) |
(- x (* (log y) (+ 1/2 y))) |
(-.f64 x (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))) |
(- x (* (log y) (+ 1/2 y))) |
(-.f64 x (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))) |
(- x (* (log y) (+ 1/2 y))) |
(-.f64 x (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))) |
x |
(* x (+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x)))) |
(-.f64 x (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))) |
(* x (+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x)))) |
(-.f64 x (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))) |
(* x (+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x)))) |
(-.f64 x (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))) |
x |
(* -1 (* x (- (/ (* (log y) (+ 1/2 y)) x) 1))) |
(-.f64 x (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))) |
(* -1 (* x (- (/ (* (log y) (+ 1/2 y)) x) 1))) |
(-.f64 x (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))) |
(* -1 (* x (- (/ (* (log y) (+ 1/2 y)) x) 1))) |
(-.f64 x (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))) |
(- x (* 1/2 (log y))) |
(+.f64 x (*.f64 (log.f64 y) #s(literal -1/2 binary64))) |
(- (+ x (* -1 (* y (log y)))) (* 1/2 (log y))) |
(-.f64 x (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))) |
(- (+ x (* -1 (* y (log y)))) (* 1/2 (log y))) |
(-.f64 x (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))) |
(- (+ x (* -1 (* y (log y)))) (* 1/2 (log y))) |
(-.f64 x (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))) |
(* y (log (/ 1 y))) |
(*.f64 y (-.f64 #s(literal 0 binary64) (log.f64 y))) |
(* y (- (/ x y) (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))))) |
(+.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) (*.f64 y (/.f64 x y))) |
(* y (- (/ x y) (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))))) |
(+.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) (*.f64 y (/.f64 x y))) |
(* y (- (/ x y) (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))))) |
(+.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) (*.f64 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))))) |
(* 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)))) |
Compiled 14 824 to 1 419 computations (90.4% saved)
16 alts after pruning (16 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 434 | 16 | 450 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 435 | 16 | 451 |
| Status | Accuracy | Program |
|---|---|---|
| 58.2% | (fma.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)))) (-.f64 y z)) | |
| 99.5% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) (+.f64 x (-.f64 y z))))) | |
| ▶ | 99.8% | (-.f64 (-.f64 x (-.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) y)) z) |
| 74.0% | (-.f64 (+.f64 (-.f64 x (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) (log.f64 y)) (-.f64 #s(literal 1/2 binary64) y))) 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) |
| 72.4% | (-.f64 (+.f64 x (*.f64 (log.f64 y) #s(literal -1/2 binary64))) z) | |
| 57.7% | (-.f64 (+.f64 x y) z) | |
| 58.7% | (-.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y))) z) | |
| 58.3% | (-.f64 x z) | |
| 32.2% | (-.f64 #s(literal 0 binary64) z) | |
| 68.8% | (+.f64 (+.f64 y x) (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y))) | |
| 99.5% | (*.f64 (+.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) (+.f64 x (+.f64 y z))) (*.f64 (+.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) (+.f64 x (-.f64 y z))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) (+.f64 x (+.f64 y z)))))) | |
| ▶ | 79.9% | (*.f64 z (+.f64 #s(literal -1 binary64) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 y x)) (*.f64 (log.f64 y) (/.f64 (-.f64 #s(literal -1/2 binary64) y) z))))) |
| ▶ | 28.7% | (*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y))) |
| 81.9% | (*.f64 y (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 y)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) y))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) y)))) | |
| ▶ | 28.4% | x |
Compiled 516 to 326 computations (36.8% saved)
| 1× | egg-herbie |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 y x)) (*.f64 (log.f64 y) (/.f64 (-.f64 #s(literal -1/2 binary64) y) z))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal -1 binary64) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 y x)) (*.f64 (log.f64 y) (/.f64 (-.f64 #s(literal -1/2 binary64) y) z)))) |
| ✓ | cost-diff | 128 | (*.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
| ✓ | cost-diff | 384 | (*.f64 z (+.f64 #s(literal -1 binary64) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 y x)) (*.f64 (log.f64 y) (/.f64 (-.f64 #s(literal -1/2 binary64) y) z))))) |
| ✓ | cost-diff | 0 | (-.f64 x (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64))))) |
| ✓ | 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 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64)))) |
| ✓ | cost-diff | 0 | (log.f64 y) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 1 binary64) (log.f64 y)) |
| ✓ | cost-diff | 0 | (*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y))) |
| ✓ | cost-diff | 0 | (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) |
| ✓ | cost-diff | 0 | (-.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) y) |
| ✓ | cost-diff | 0 | (-.f64 x (-.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) y)) |
| ✓ | cost-diff | 0 | (-.f64 (-.f64 x (-.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) y)) z) |
| 18 136× | accelerator-lowering-fma.f32 |
| 18 136× | accelerator-lowering-fma.f64 |
| 2 872× | *-lowering-*.f32 |
| 2 872× | *-lowering-*.f64 |
| 1 576× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 196 |
| 1 | 84 | 188 |
| 2 | 231 | 188 |
| 3 | 660 | 188 |
| 4 | 2070 | 188 |
| 5 | 6307 | 188 |
| 0 | 8237 | 180 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (- x (- (* (+ y 1/2) (log y)) y)) z) |
(- x (- (* (+ y 1/2) (log y)) y)) |
x |
(- (* (+ y 1/2) (log y)) y) |
(* (+ y 1/2) (log y)) |
(+ y 1/2) |
y |
1/2 |
(log y) |
z |
x |
(* y (- 1 (log y))) |
y |
(- 1 (log y)) |
1 |
(log y) |
(- (+ (- x (/ (log y) (/ 1 (+ y 1/2)))) y) z) |
(+ (- x (/ (log y) (/ 1 (+ y 1/2)))) y) |
(- x (/ (log y) (/ 1 (+ y 1/2)))) |
x |
(/ (log y) (/ 1 (+ y 1/2))) |
(log y) |
y |
(/ 1 (+ y 1/2)) |
1 |
(+ y 1/2) |
1/2 |
z |
(* z (+ -1 (+ (* (/ 1 z) (+ y x)) (* (log y) (/ (- -1/2 y) z))))) |
z |
(+ -1 (+ (* (/ 1 z) (+ y x)) (* (log y) (/ (- -1/2 y) z)))) |
-1 |
(+ (* (/ 1 z) (+ y x)) (* (log y) (/ (- -1/2 y) z))) |
(* (/ 1 z) (+ y x)) |
(/ 1 z) |
1 |
(+ y x) |
y |
x |
(* (log y) (/ (- -1/2 y) z)) |
(log y) |
(/ (- -1/2 y) z) |
(- -1/2 y) |
-1/2 |
| Outputs |
|---|
(- (- x (- (* (+ y 1/2) (log y)) y)) z) |
(+.f64 (+.f64 x (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y))) (-.f64 y z)) |
(- x (- (* (+ y 1/2) (log y)) y)) |
(+.f64 (+.f64 x y) (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y))) |
x |
(- (* (+ y 1/2) (log y)) y) |
(-.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) y) |
(* (+ y 1/2) (log y)) |
(*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) |
(+ y 1/2) |
(+.f64 y #s(literal 1/2 binary64)) |
y |
1/2 |
#s(literal 1/2 binary64) |
(log y) |
(log.f64 y) |
z |
x |
(* y (- 1 (log y))) |
(*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y))) |
y |
(- 1 (log y)) |
(-.f64 #s(literal 1 binary64) (log.f64 y)) |
1 |
#s(literal 1 binary64) |
(log y) |
(log.f64 y) |
(- (+ (- x (/ (log y) (/ 1 (+ y 1/2)))) y) z) |
(+.f64 (+.f64 x (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y))) (-.f64 y z)) |
(+ (- x (/ (log y) (/ 1 (+ y 1/2)))) y) |
(+.f64 (+.f64 x y) (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y))) |
(- x (/ (log y) (/ 1 (+ y 1/2)))) |
(+.f64 x (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y))) |
x |
(/ (log y) (/ 1 (+ y 1/2))) |
(*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) |
(log y) |
(log.f64 y) |
y |
(/ 1 (+ y 1/2)) |
(/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64))) |
1 |
#s(literal 1 binary64) |
(+ y 1/2) |
(+.f64 y #s(literal 1/2 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
z |
(* z (+ -1 (+ (* (/ 1 z) (+ y x)) (* (log y) (/ (- -1/2 y) z))))) |
(+.f64 (+.f64 x (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y))) (-.f64 y z)) |
z |
(+ -1 (+ (* (/ 1 z) (+ y x)) (* (log y) (/ (- -1/2 y) z)))) |
(+.f64 #s(literal -1 binary64) (+.f64 (/.f64 (+.f64 x y) z) (/.f64 (log.f64 y) (/.f64 z (-.f64 #s(literal -1/2 binary64) y))))) |
-1 |
#s(literal -1 binary64) |
(+ (* (/ 1 z) (+ y x)) (* (log y) (/ (- -1/2 y) z))) |
(+.f64 (/.f64 (+.f64 x y) z) (/.f64 (log.f64 y) (/.f64 z (-.f64 #s(literal -1/2 binary64) y)))) |
(* (/ 1 z) (+ y x)) |
(/.f64 (+.f64 x y) z) |
(/ 1 z) |
(/.f64 #s(literal 1 binary64) z) |
1 |
#s(literal 1 binary64) |
(+ y x) |
(+.f64 x y) |
y |
x |
(* (log y) (/ (- -1/2 y) z)) |
(/.f64 (log.f64 y) (/.f64 z (-.f64 #s(literal -1/2 binary64) y))) |
(log y) |
(log.f64 y) |
(/ (- -1/2 y) z) |
(/.f64 (-.f64 #s(literal -1/2 binary64) y) z) |
(- -1/2 y) |
(-.f64 #s(literal -1/2 binary64) y) |
-1/2 |
#s(literal -1/2 binary64) |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.6% | (*.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
| ✓ | accuracy | 99.5% | (*.f64 (log.f64 y) (/.f64 (-.f64 #s(literal -1/2 binary64) y) z)) |
| ✓ | accuracy | 90.1% | (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 y x)) (*.f64 (log.f64 y) (/.f64 (-.f64 #s(literal -1/2 binary64) y) z))) |
| ✓ | accuracy | 80.8% | (*.f64 z (+.f64 #s(literal -1 binary64) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 y x)) (*.f64 (log.f64 y) (/.f64 (-.f64 #s(literal -1/2 binary64) y) z))))) |
| ✓ | 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 | 100.0% | (-.f64 x (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64))))) |
| ✓ | accuracy | 99.9% | (+.f64 (-.f64 x (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64))))) y) |
| ✓ | accuracy | 99.7% | (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64)))) |
| ✓ | accuracy | 100.0% | (log.f64 y) |
| ✓ | accuracy | 100.0% | (-.f64 #s(literal 1 binary64) (log.f64 y)) |
| ✓ | accuracy | 99.6% | (*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y))) |
| ✓ | accuracy | 100.0% | (-.f64 (-.f64 x (-.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) y)) z) |
| ✓ | accuracy | 100.0% | (-.f64 x (-.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) y)) |
| ✓ | accuracy | 99.8% | (-.f64 (*.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)) |
| 50.0ms | 256× | 0 | valid |
Compiled 212 to 31 computations (85.4% saved)
ival-sub: 7.0ms (22.3% of total)ival-div: 7.0ms (22.3% of total)ival-mult: 7.0ms (22.3% of total)ival-add: 6.0ms (19.1% of total)ival-log: 3.0ms (9.6% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (- (- x (- (* (+ y 1/2) (log y)) y)) z)> |
#<alt (- x (- (* (+ y 1/2) (log y)) y))> |
#<alt (- (* (+ y 1/2) (log y)) y)> |
#<alt (* (+ y 1/2) (log y))> |
#<alt (* y (- 1 (log y)))> |
#<alt (- 1 (log y))> |
#<alt (log y)> |
#<alt (/ (log y) (/ 1 (+ y 1/2)))> |
#<alt (- (+ (- x (/ (log y) (/ 1 (+ y 1/2)))) y) z)> |
#<alt (+ (- x (/ (log y) (/ 1 (+ y 1/2)))) y)> |
#<alt (- x (/ (log y) (/ 1 (+ y 1/2))))> |
#<alt (* z (+ -1 (+ (* (/ 1 z) (+ y x)) (* (log y) (/ (- -1/2 y) z)))))> |
#<alt (* (/ 1 z) (+ y x))> |
#<alt (+ -1 (+ (* (/ 1 z) (+ y x)) (* (log y) (/ (- -1/2 y) z))))> |
#<alt (+ (* (/ 1 z) (+ y x)) (* (log y) (/ (- -1/2 y) z)))> |
#<alt (* (log y) (/ (- -1/2 y) z))> |
| Outputs |
|---|
#<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) 1)))> |
#<alt (+ (* 1/2 (log y)) (* y (- (log y) 1)))> |
#<alt (+ (* 1/2 (log y)) (* y (- (log y) 1)))> |
#<alt (* y (- (* -1 (log (/ 1 y))) 1))> |
#<alt (* y (- (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))) 1))> |
#<alt (* y (- (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))) 1))> |
#<alt (* y (- (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))) 1))> |
#<alt (* -1 (* y (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))))> |
#<alt (* -1 (* y (+ 1 (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y))))))> |
#<alt (* -1 (* y (+ 1 (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y))))))> |
#<alt (* -1 (* y (+ 1 (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) 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 (- 1 (log y)))> |
#<alt (* y (- 1 (log y)))> |
#<alt (* y (- 1 (log y)))> |
#<alt (* y (- 1 (log y)))> |
#<alt (* y (- 1 (* -1 (log (/ 1 y)))))> |
#<alt (* y (- 1 (* -1 (log (/ 1 y)))))> |
#<alt (* y (- 1 (* -1 (log (/ 1 y)))))> |
#<alt (* y (- 1 (* -1 (log (/ 1 y)))))> |
#<alt (* y (- 1 (+ (log -1) (* -1 (log (/ -1 y))))))> |
#<alt (* y (- 1 (+ (log -1) (* -1 (log (/ -1 y))))))> |
#<alt (* y (- 1 (+ (log -1) (* -1 (log (/ -1 y))))))> |
#<alt (* y (- 1 (+ (log -1) (* -1 (log (/ -1 y))))))> |
#<alt (- 1 (log y))> |
#<alt (- 1 (log y))> |
#<alt (- 1 (log y))> |
#<alt (- 1 (log y))> |
#<alt (- 1 (* -1 (log (/ 1 y))))> |
#<alt (- 1 (* -1 (log (/ 1 y))))> |
#<alt (- 1 (* -1 (log (/ 1 y))))> |
#<alt (- 1 (* -1 (log (/ 1 y))))> |
#<alt (- 1 (+ (log -1) (* -1 (log (/ -1 y)))))> |
#<alt (- 1 (+ (log -1) (* -1 (log (/ -1 y)))))> |
#<alt (- 1 (+ (log -1) (* -1 (log (/ -1 y)))))> |
#<alt (- 1 (+ (log -1) (* -1 (log (/ -1 y)))))> |
#<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 (* 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)))))> |
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#<alt (* -1 (/ (* (log y) (+ 1/2 y)) z))> |
#<alt (* -1 (/ (* (log y) (+ 1/2 y)) z))> |
#<alt (* -1 (/ (* (log y) (+ 1/2 y)) z))> |
#<alt (* -1 (/ (* (log y) (+ 1/2 y)) z))> |
#<alt (* -1 (/ (* (log y) (+ 1/2 y)) z))> |
#<alt (* -1 (/ (* (log y) (+ 1/2 y)) z))> |
#<alt (* -1 (/ (* (log y) (+ 1/2 y)) z))> |
#<alt (* -1 (/ (* (log y) (+ 1/2 y)) z))> |
#<alt (* -1 (/ (* (log y) (+ 1/2 y)) z))> |
#<alt (* -1 (/ (* (log y) (+ 1/2 y)) z))> |
96 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 35.0ms | y | @ | 0 | (* y (- 1 (log y))) |
| 27.0ms | z | @ | 0 | (+ (* (/ 1 z) (+ y x)) (* (log y) (/ (- -1/2 y) z))) |
| 14.0ms | y | @ | -inf | (* y (- 1 (log y))) |
| 5.0ms | y | @ | inf | (* y (- 1 (log y))) |
| 4.0ms | z | @ | inf | (+ (* (/ 1 z) (+ y x)) (* (log y) (/ (- -1/2 y) z))) |
| 1× | batch-egg-rewrite |
| 5 904× | *-lowering-*.f32 |
| 5 904× | *-lowering-*.f64 |
| 3 692× | /-lowering-/.f32 |
| 3 692× | /-lowering-/.f64 |
| 3 496× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 155 |
| 1 | 241 | 145 |
| 2 | 2531 | 145 |
| 0 | 8767 | 137 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (- x (- (* (+ y 1/2) (log y)) y)) z) |
(- x (- (* (+ y 1/2) (log y)) y)) |
(- (* (+ y 1/2) (log y)) y) |
(* (+ y 1/2) (log y)) |
(* y (- 1 (log y))) |
(- 1 (log y)) |
(log y) |
(/ (log y) (/ 1 (+ y 1/2))) |
(- (+ (- x (/ (log y) (/ 1 (+ y 1/2)))) y) z) |
(+ (- x (/ (log y) (/ 1 (+ y 1/2)))) y) |
(- x (/ (log y) (/ 1 (+ y 1/2)))) |
(* z (+ -1 (+ (* (/ 1 z) (+ y x)) (* (log y) (/ (- -1/2 y) z))))) |
(* (/ 1 z) (+ y x)) |
(+ -1 (+ (* (/ 1 z) (+ y x)) (* (log y) (/ (- -1/2 y) z)))) |
(+ (* (/ 1 z) (+ y x)) (* (log y) (/ (- -1/2 y) z))) |
(* (log y) (/ (- -1/2 y) z)) |
| Outputs |
|---|
(+.f64 x (neg.f64 (-.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) (-.f64 y z)))) |
(+.f64 x (+.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) (-.f64 y z))) |
(+.f64 x (+.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) y)) (-.f64 #s(literal 0 binary64) z))) |
(+.f64 x (-.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) y)) z)) |
(+.f64 y (+.f64 (+.f64 x (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y))) (-.f64 #s(literal 0 binary64) z))) |
(+.f64 y (-.f64 (+.f64 x (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y))) z)) |
(+.f64 (-.f64 (+.f64 x y) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) (-.f64 #s(literal 0 binary64) z)) |
(+.f64 (+.f64 x (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y))) (-.f64 y z)) |
(+.f64 (-.f64 #s(literal 0 binary64) z) (-.f64 (+.f64 x y) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)))) |
(+.f64 (-.f64 y z) (+.f64 x (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)))) |
(-.f64 x (-.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) (-.f64 y z))) |
(-.f64 x (-.f64 (-.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) y) (-.f64 #s(literal 0 binary64) z))) |
(-.f64 (-.f64 (+.f64 x y) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) z) |
(-.f64 (/.f64 (pow.f64 (-.f64 (+.f64 x y) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) #s(literal 3 binary64)) (+.f64 (pow.f64 (-.f64 (+.f64 x y) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) #s(literal 2 binary64)) (*.f64 z (+.f64 (-.f64 (+.f64 x y) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) z)))) (/.f64 (*.f64 z (*.f64 z z)) (+.f64 (pow.f64 (-.f64 (+.f64 x y) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) #s(literal 2 binary64)) (*.f64 z (+.f64 (-.f64 (+.f64 x y) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) z))))) |
(-.f64 (/.f64 (pow.f64 (-.f64 (+.f64 x y) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) #s(literal 2 binary64)) (+.f64 (-.f64 (+.f64 x y) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) z)) (/.f64 (*.f64 z z) (+.f64 (-.f64 (+.f64 x y) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) z))) |
(fma.f64 z #s(literal -1 binary64) (-.f64 (+.f64 x y) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)))) |
(fma.f64 #s(literal -1 binary64) z (-.f64 (+.f64 x y) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)))) |
(fma.f64 (+.f64 (pow.f64 (+.f64 x (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y))) #s(literal 3 binary64)) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 x (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y))) #s(literal 2 binary64)) (*.f64 y (-.f64 y (+.f64 x (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y))))))) (-.f64 #s(literal 0 binary64) z)) |
(fma.f64 (-.f64 (*.f64 x (*.f64 x x)) (pow.f64 (-.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 (-.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) y) (+.f64 x (-.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) y))))) (-.f64 #s(literal 0 binary64) z)) |
(fma.f64 (+.f64 (*.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 x x) (*.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) (+.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)))))) (-.f64 y z)) |
(fma.f64 (-.f64 (pow.f64 (+.f64 x (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y))) #s(literal 2 binary64)) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) y))) (-.f64 #s(literal 0 binary64) z)) |
(fma.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) y))) (-.f64 #s(literal 0 binary64) z)) |
(fma.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)))) (-.f64 y z)) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (-.f64 (+.f64 x y) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) #s(literal 2 binary64)) (*.f64 z (+.f64 (-.f64 (+.f64 x y) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) z))) (-.f64 (pow.f64 (-.f64 (+.f64 x y) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) #s(literal 3 binary64)) (*.f64 z (*.f64 z z))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 (+.f64 x y) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) z) (-.f64 (pow.f64 (-.f64 (+.f64 x y) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) #s(literal 2 binary64)) (*.f64 z z)))) |
(/.f64 (-.f64 (pow.f64 (-.f64 (+.f64 x y) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) #s(literal 3 binary64)) (*.f64 z (*.f64 z z))) (+.f64 (pow.f64 (-.f64 (+.f64 x y) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) #s(literal 2 binary64)) (*.f64 z (+.f64 (-.f64 (+.f64 x y) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) z)))) |
(/.f64 (-.f64 (pow.f64 (-.f64 (+.f64 x y) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) #s(literal 3 binary64)) (*.f64 z (*.f64 z z))) (+.f64 (pow.f64 (-.f64 (+.f64 x y) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) #s(literal 2 binary64)) (-.f64 (*.f64 z z) (*.f64 (-.f64 (+.f64 x y) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) (-.f64 #s(literal 0 binary64) z))))) |
(/.f64 (-.f64 (pow.f64 (-.f64 (+.f64 x y) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) #s(literal 2 binary64)) (*.f64 z z)) (+.f64 (-.f64 (+.f64 x y) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) z)) |
(/.f64 (-.f64 (pow.f64 (-.f64 (+.f64 x y) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) #s(literal 2 binary64)) (*.f64 z z)) (-.f64 (-.f64 (+.f64 x y) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) (-.f64 #s(literal 0 binary64) z))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 (+.f64 x y) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) #s(literal 3 binary64)) (*.f64 z (*.f64 z z)))) (neg.f64 (+.f64 (pow.f64 (-.f64 (+.f64 x y) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) #s(literal 2 binary64)) (*.f64 z (+.f64 (-.f64 (+.f64 x y) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) z))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 (+.f64 x y) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) #s(literal 2 binary64)) (*.f64 z z))) (neg.f64 (+.f64 (-.f64 (+.f64 x y) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) z))) |
(/.f64 (+.f64 (pow.f64 (+.f64 x (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y))) #s(literal 3 binary64)) (*.f64 (-.f64 y z) (*.f64 (-.f64 y z) (-.f64 y z)))) (+.f64 (pow.f64 (+.f64 x (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y))) #s(literal 2 binary64)) (-.f64 (*.f64 (-.f64 y z) (-.f64 y z)) (*.f64 (+.f64 x (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y))) (-.f64 y z))))) |
(/.f64 (-.f64 (*.f64 x (*.f64 x x)) (pow.f64 (-.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) (-.f64 y z)) #s(literal 3 binary64))) (+.f64 (*.f64 x x) (+.f64 (pow.f64 (-.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) (-.f64 y z)) #s(literal 2 binary64)) (*.f64 x (-.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) (-.f64 y z)))))) |
(/.f64 (-.f64 (pow.f64 (+.f64 x (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y))) #s(literal 2 binary64)) (*.f64 (-.f64 y z) (-.f64 y z))) (-.f64 (+.f64 x (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y))) (-.f64 y z))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) (-.f64 y z)) #s(literal 2 binary64))) (+.f64 x (-.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) (-.f64 y z)))) |
(/.f64 (+.f64 (*.f64 #s(literal 1 binary64) (+.f64 (*.f64 y y) (+.f64 (*.f64 z z) (*.f64 y z)))) (*.f64 (/.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) (+.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))))) (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) #s(literal 3 binary64)))) (-.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))))) (*.f64 (/.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) (+.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))))) (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) #s(literal 3 binary64)))) (+.f64 (*.f64 y y) (+.f64 (*.f64 z z) (*.f64 y z))))) |
(/.f64 (+.f64 (*.f64 #s(literal 1 binary64) (+.f64 y z)) (*.f64 (/.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) (+.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))))) (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) #s(literal 3 binary64)))) (-.f64 (*.f64 y y) (*.f64 z z)))) (*.f64 (/.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) (+.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))))) (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) #s(literal 3 binary64)))) (+.f64 y z))) |
(/.f64 (+.f64 (*.f64 #s(literal 1 binary64) (+.f64 (*.f64 y y) (+.f64 (*.f64 z z) (*.f64 y z)))) (*.f64 (/.f64 (+.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) (-.f64 (*.f64 x x) (pow.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) #s(literal 2 binary64)))) (-.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))))) (*.f64 (/.f64 (+.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) (-.f64 (*.f64 x x) (pow.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) #s(literal 2 binary64)))) (+.f64 (*.f64 y y) (+.f64 (*.f64 z z) (*.f64 y z))))) |
(/.f64 (+.f64 (*.f64 #s(literal 1 binary64) (+.f64 y z)) (*.f64 (/.f64 (+.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) (-.f64 (*.f64 x x) (pow.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) #s(literal 2 binary64)))) (-.f64 (*.f64 y y) (*.f64 z z)))) (*.f64 (/.f64 (+.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) (-.f64 (*.f64 x x) (pow.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) #s(literal 2 binary64)))) (+.f64 y z))) |
(/.f64 (+.f64 (*.f64 (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) #s(literal 3 binary64))) (+.f64 (*.f64 y y) (+.f64 (*.f64 z z) (*.f64 y z)))) (*.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) (+.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))))) (-.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))))) (*.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) (+.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))))) (+.f64 (*.f64 y y) (+.f64 (*.f64 z z) (*.f64 y z))))) |
(/.f64 (+.f64 (*.f64 (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) #s(literal 3 binary64))) (+.f64 y z)) (*.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) (+.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))))) (-.f64 (*.f64 y y) (*.f64 z z)))) (*.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) (+.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))))) (+.f64 y z))) |
(/.f64 (+.f64 (*.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) #s(literal 2 binary64))) (+.f64 (*.f64 y y) (+.f64 (*.f64 z z) (*.f64 y z)))) (*.f64 (+.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) (-.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))))) (*.f64 (+.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) (+.f64 (*.f64 y y) (+.f64 (*.f64 z z) (*.f64 y z))))) |
(/.f64 (+.f64 (*.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) #s(literal 2 binary64))) (+.f64 y z)) (*.f64 (+.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) (-.f64 (*.f64 y y) (*.f64 z z)))) (*.f64 (+.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) (+.f64 y z))) |
(/.f64 (+.f64 (*.f64 (neg.f64 (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) #s(literal 3 binary64)))) (+.f64 (*.f64 y y) (+.f64 (*.f64 z z) (*.f64 y z)))) (*.f64 (neg.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) (+.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)))))) (-.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))))) (*.f64 (neg.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) (+.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)))))) (+.f64 (*.f64 y y) (+.f64 (*.f64 z z) (*.f64 y z))))) |
(/.f64 (+.f64 (*.f64 (neg.f64 (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) #s(literal 3 binary64)))) (+.f64 y z)) (*.f64 (neg.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) (+.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)))))) (-.f64 (*.f64 y y) (*.f64 z z)))) (*.f64 (neg.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) (+.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)))))) (+.f64 y z))) |
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(/.f64 (+.f64 (*.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) (+.f64 (*.f64 (/.f64 y z) (/.f64 y z)) (-.f64 (*.f64 (/.f64 x z) (/.f64 x z)) (*.f64 (/.f64 y z) (/.f64 x z))))) (*.f64 z (+.f64 (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 z (*.f64 z z)))))) (*.f64 z (+.f64 (*.f64 (/.f64 y z) (/.f64 y z)) (-.f64 (*.f64 (/.f64 x z) (/.f64 x z)) (*.f64 (/.f64 y z) (/.f64 x z)))))) |
(/.f64 (+.f64 (*.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) (/.f64 (-.f64 y x) z)) (*.f64 z (-.f64 (*.f64 (/.f64 y z) (/.f64 y z)) (*.f64 (/.f64 x z) (/.f64 x z))))) (*.f64 z (/.f64 (-.f64 y x) z))) |
(/.f64 (+.f64 (*.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) (+.f64 (*.f64 y y) (*.f64 x (-.f64 x y)))) (*.f64 z (*.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x)))))) (*.f64 z (+.f64 (*.f64 y y) (*.f64 x (-.f64 x y))))) |
(/.f64 (+.f64 (*.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) (-.f64 y x)) (*.f64 z (*.f64 (/.f64 #s(literal 1 binary64) z) (-.f64 (*.f64 y y) (*.f64 x x))))) (*.f64 z (-.f64 y x))) |
(/.f64 (+.f64 (*.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) (-.f64 #s(literal 0 binary64) z)) (*.f64 z (*.f64 (+.f64 x y) #s(literal -1 binary64)))) (*.f64 z (-.f64 #s(literal 0 binary64) z))) |
(/.f64 (+.f64 (*.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) (-.f64 #s(literal 0 binary64) z)) (*.f64 z (*.f64 #s(literal -1 binary64) (+.f64 x y)))) (*.f64 z (-.f64 #s(literal 0 binary64) z))) |
(/.f64 (+.f64 (*.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) (+.f64 (*.f64 y y) (*.f64 x (-.f64 x y)))) (*.f64 z (*.f64 (+.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) z)))) (*.f64 z (+.f64 (*.f64 y y) (*.f64 x (-.f64 x y))))) |
(/.f64 (+.f64 (*.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) (-.f64 y x)) (*.f64 z (*.f64 (-.f64 (*.f64 y y) (*.f64 x x)) (/.f64 #s(literal 1 binary64) z)))) (*.f64 z (-.f64 y x))) |
(pow.f64 (/.f64 (+.f64 (*.f64 (/.f64 (+.f64 x y) z) (/.f64 (+.f64 x y) z)) (*.f64 (/.f64 (log.f64 y) (/.f64 z (-.f64 #s(literal -1/2 binary64) y))) (/.f64 (-.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) (+.f64 x y)) z))) (+.f64 (*.f64 (/.f64 (+.f64 x y) z) (*.f64 (/.f64 (+.f64 x y) z) (/.f64 (+.f64 x y) z))) (pow.f64 (/.f64 (log.f64 y) (/.f64 z (-.f64 #s(literal -1/2 binary64) y))) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (-.f64 (+.f64 x y) (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y))) z) (/.f64 (-.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (pow.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) #s(literal 2 binary64))) (*.f64 z z))) #s(literal -1 binary64)) |
(*.f64 (+.f64 (*.f64 (/.f64 (+.f64 x y) z) (*.f64 (/.f64 (+.f64 x y) z) (/.f64 (+.f64 x y) z))) (pow.f64 (/.f64 (log.f64 y) (/.f64 z (-.f64 #s(literal -1/2 binary64) y))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (/.f64 (+.f64 x y) z) (/.f64 (+.f64 x y) z)) (*.f64 (/.f64 (log.f64 y) (/.f64 z (-.f64 #s(literal -1/2 binary64) y))) (/.f64 (-.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) (+.f64 x y)) z))))) |
(*.f64 (/.f64 (-.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (pow.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) #s(literal 2 binary64))) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 x y) (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y))) z))) |
(/.f64 (log.f64 y) (/.f64 z (-.f64 #s(literal -1/2 binary64) y))) |
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)))) |
(/.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) (-.f64 #s(literal 0 binary64) z)) |
(/.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) z) |
(pow.f64 (/.f64 z (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y))) #s(literal -1 binary64)) |
(*.f64 (log.f64 y) (/.f64 (-.f64 #s(literal -1/2 binary64) y) z)) |
(*.f64 (-.f64 #s(literal -1/2 binary64) y) (*.f64 (/.f64 #s(literal 1 binary64) z) (log.f64 y))) |
(*.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) y) z) (log.f64 y)) |
(*.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) (/.f64 #s(literal 1 binary64) z)) |
| 1× | egg-herbie |
| 17 462× | accelerator-lowering-fma.f32 |
| 17 462× | accelerator-lowering-fma.f64 |
| 5 750× | +-lowering-+.f64 |
| 5 750× | +-lowering-+.f32 |
| 4 532× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 289 | 5505 |
| 1 | 930 | 5193 |
| 2 | 3030 | 4830 |
| 0 | 8176 | 4650 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- 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))) |
(+ (* 1/2 (log y)) (* y (- (log y) 1))) |
(+ (* 1/2 (log y)) (* y (- (log y) 1))) |
(* y (- (* -1 (log (/ 1 y))) 1)) |
(* y (- (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))) 1)) |
(* y (- (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))) 1)) |
(* y (- (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))) 1)) |
(* -1 (* y (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))) |
(* -1 (* y (+ 1 (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y)))))) |
(* -1 (* y (+ 1 (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y)))))) |
(* -1 (* y (+ 1 (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) 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 (- 1 (log y))) |
(* y (- 1 (log y))) |
(* y (- 1 (log y))) |
(* y (- 1 (log y))) |
(* y (- 1 (* -1 (log (/ 1 y))))) |
(* y (- 1 (* -1 (log (/ 1 y))))) |
(* y (- 1 (* -1 (log (/ 1 y))))) |
(* y (- 1 (* -1 (log (/ 1 y))))) |
(* y (- 1 (+ (log -1) (* -1 (log (/ -1 y)))))) |
(* y (- 1 (+ (log -1) (* -1 (log (/ -1 y)))))) |
(* y (- 1 (+ (log -1) (* -1 (log (/ -1 y)))))) |
(* y (- 1 (+ (log -1) (* -1 (log (/ -1 y)))))) |
(- 1 (log y)) |
(- 1 (log y)) |
(- 1 (log y)) |
(- 1 (log y)) |
(- 1 (* -1 (log (/ 1 y)))) |
(- 1 (* -1 (log (/ 1 y)))) |
(- 1 (* -1 (log (/ 1 y)))) |
(- 1 (* -1 (log (/ 1 y)))) |
(- 1 (+ (log -1) (* -1 (log (/ -1 y))))) |
(- 1 (+ (log -1) (* -1 (log (/ -1 y))))) |
(- 1 (+ (log -1) (* -1 (log (/ -1 y))))) |
(- 1 (+ (log -1) (* -1 (log (/ -1 y))))) |
(log 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)))) |
(* 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 (+ 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)))))))) |
(+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) |
(+ x (+ y (+ (* -1 z) (* -1 (* (log y) (+ 1/2 y)))))) |
(+ x (+ y (+ (* -1 z) (* -1 (* (log y) (+ 1/2 y)))))) |
(+ x (+ y (+ (* -1 z) (* -1 (* (log y) (+ 1/2 y)))))) |
(* -1 z) |
(* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z))) 1)) |
(* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z))) 1)) |
(* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z))) 1)) |
(* -1 z) |
(* -1 (* z (+ 1 (+ (* -1 (/ (+ x y) z)) (/ (* (log y) (+ 1/2 y)) z))))) |
(* -1 (* z (+ 1 (+ (* -1 (/ (+ x y) z)) (/ (* (log y) (+ 1/2 y)) z))))) |
(* -1 (* z (+ 1 (+ (* -1 (/ (+ x y) z)) (/ (* (log y) (+ 1/2 y)) z))))) |
(* z (- (+ (* -1/2 (/ (log y) z)) (/ x z)) 1)) |
(+ (* y (* z (+ (* -1 (/ (log y) z)) (/ 1 z)))) (* z (- (+ (* -1/2 (/ (log y) z)) (/ x z)) 1))) |
(+ (* y (* z (+ (* -1 (/ (log y) z)) (/ 1 z)))) (* z (- (+ (* -1/2 (/ (log y) z)) (/ x z)) 1))) |
(+ (* y (* z (+ (* -1 (/ (log y) z)) (/ 1 z)))) (* z (- (+ (* -1/2 (/ (log y) z)) (/ x z)) 1))) |
(* y (* z (+ (/ 1 z) (/ (log (/ 1 y)) z)))) |
(* y (+ (* z (+ (/ 1 z) (/ (log (/ 1 y)) z))) (/ (* z (- (+ (* 1/2 (/ (log (/ 1 y)) z)) (/ x z)) 1)) y))) |
(* y (+ (* z (+ (/ 1 z) (/ (log (/ 1 y)) z))) (/ (* z (- (+ (* 1/2 (/ (log (/ 1 y)) z)) (/ x z)) 1)) y))) |
(* y (+ (* z (+ (/ 1 z) (/ (log (/ 1 y)) z))) (/ (* z (- (+ (* 1/2 (/ (log (/ 1 y)) z)) (/ x z)) 1)) y))) |
(* -1 (* y (* z (- (+ (* -1 (/ (log (/ -1 y)) z)) (/ (log -1) z)) (/ 1 z))))) |
(* -1 (* y (+ (* -1 (/ (* z (- (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) z)) (/ x z)) 1)) y)) (* z (- (+ (* -1 (/ (log (/ -1 y)) z)) (/ (log -1) z)) (/ 1 z)))))) |
(* -1 (* y (+ (* -1 (/ (* z (- (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) z)) (/ x z)) 1)) y)) (* z (- (+ (* -1 (/ (log (/ -1 y)) z)) (/ (log -1) z)) (/ 1 z)))))) |
(* -1 (* y (+ (* -1 (/ (* z (- (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) z)) (/ x z)) 1)) y)) (* z (- (+ (* -1 (/ (log (/ -1 y)) z)) (/ (log -1) z)) (/ 1 z)))))) |
(* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (/ y z)) 1)) |
(+ x (* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (/ y z)) 1))) |
(+ x (* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (/ y z)) 1))) |
(+ x (* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (/ y z)) 1))) |
x |
(* x (+ 1 (/ (* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (/ y z)) 1)) x))) |
(* x (+ 1 (/ (* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (/ y z)) 1)) x))) |
(* x (+ 1 (/ (* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (/ y z)) 1)) x))) |
x |
(* -1 (* x (- (* -1 (/ (* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (/ y z)) 1)) x)) 1))) |
(* -1 (* x (- (* -1 (/ (* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (/ y z)) 1)) x)) 1))) |
(* -1 (* x (- (* -1 (/ (* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (/ y z)) 1)) x)) 1))) |
(/ (+ x y) z) |
(/ (+ x y) z) |
(/ (+ x y) z) |
(/ (+ x y) z) |
(/ (+ x y) z) |
(/ (+ x y) z) |
(/ (+ x y) z) |
(/ (+ x y) z) |
(/ (+ x y) z) |
(/ (+ x y) z) |
(/ (+ x y) z) |
(/ (+ x y) z) |
(/ x z) |
(+ (/ x z) (/ y z)) |
(+ (/ x z) (/ y z)) |
(+ (/ x z) (/ y z)) |
(/ y z) |
(* y (+ (/ 1 z) (/ x (* y z)))) |
(* y (+ (/ 1 z) (/ x (* y z)))) |
(* y (+ (/ 1 z) (/ x (* y z)))) |
(/ y z) |
(* -1 (* y (- (* -1 (/ x (* y z))) (/ 1 z)))) |
(* -1 (* y (- (* -1 (/ x (* y z))) (/ 1 z)))) |
(* -1 (* y (- (* -1 (/ x (* y z))) (/ 1 z)))) |
(/ y z) |
(+ (/ x z) (/ y z)) |
(+ (/ x z) (/ y z)) |
(+ (/ x z) (/ y z)) |
(/ x z) |
(* x (+ (/ 1 z) (/ y (* x z)))) |
(* x (+ (/ 1 z) (/ y (* x z)))) |
(* x (+ (/ 1 z) (/ y (* x z)))) |
(/ x z) |
(* -1 (* x (- (* -1 (/ y (* x z))) (/ 1 z)))) |
(* -1 (* x (- (* -1 (/ y (* x z))) (/ 1 z)))) |
(* -1 (* x (- (* -1 (/ y (* x z))) (/ 1 z)))) |
(/ (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z) |
(/ (+ x (+ y (+ (* -1 z) (* -1 (* (log y) (+ 1/2 y)))))) z) |
(/ (+ x (+ y (+ (* -1 z) (* -1 (* (log y) (+ 1/2 y)))))) z) |
(/ (+ x (+ y (+ (* -1 z) (* -1 (* (log y) (+ 1/2 y)))))) z) |
-1 |
(- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z))) 1) |
(- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z))) 1) |
(- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z))) 1) |
-1 |
(- (* -1 (/ (+ (* -1 (+ x y)) (* (log y) (+ 1/2 y))) z)) 1) |
(- (* -1 (/ (+ (* -1 (+ x y)) (* (log y) (+ 1/2 y))) z)) 1) |
(- (* -1 (/ (+ (* -1 (+ x y)) (* (log y) (+ 1/2 y))) z)) 1) |
(- (+ (* -1/2 (/ (log y) z)) (/ x z)) 1) |
(- (+ (* -1/2 (/ (log y) z)) (+ (* y (+ (* -1 (/ (log y) z)) (/ 1 z))) (/ x z))) 1) |
(- (+ (* -1/2 (/ (log y) z)) (+ (* y (+ (* -1 (/ (log y) z)) (/ 1 z))) (/ x z))) 1) |
(- (+ (* -1/2 (/ (log y) z)) (+ (* y (+ (* -1 (/ (log y) z)) (/ 1 z))) (/ x z))) 1) |
(* y (+ (/ 1 z) (/ (log (/ 1 y)) z))) |
(* y (- (+ (* 1/2 (/ (log (/ 1 y)) (* y z))) (+ (/ 1 z) (+ (/ x (* y z)) (/ (log (/ 1 y)) z)))) (/ 1 y))) |
(* y (- (+ (* 1/2 (/ (log (/ 1 y)) (* y z))) (+ (/ 1 z) (+ (/ x (* y z)) (/ (log (/ 1 y)) z)))) (/ 1 y))) |
(* y (- (+ (* 1/2 (/ (log (/ 1 y)) (* y z))) (+ (/ 1 z) (+ (/ x (* y z)) (/ (log (/ 1 y)) z)))) (/ 1 y))) |
(* -1 (* y (- (+ (* -1 (/ (log (/ -1 y)) z)) (/ (log -1) z)) (/ 1 z)))) |
(* -1 (* y (- (+ (* -1 (/ (log (/ -1 y)) z)) (+ (* -1 (/ (- (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) z)) (/ x z)) 1) y)) (/ (log -1) z))) (/ 1 z)))) |
(* -1 (* y (- (+ (* -1 (/ (log (/ -1 y)) z)) (+ (* -1 (/ (- (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) z)) (/ x z)) 1) y)) (/ (log -1) z))) (/ 1 z)))) |
(* -1 (* y (- (+ (* -1 (/ (log (/ -1 y)) z)) (+ (* -1 (/ (- (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) z)) (/ x z)) 1) y)) (/ (log -1) z))) (/ 1 z)))) |
(- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (/ y z)) 1) |
(- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z))) 1) |
(- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z))) 1) |
(- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z))) 1) |
(/ x z) |
(* x (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) (* x z))) (+ (/ 1 z) (/ y (* x z)))) (/ 1 x))) |
(* x (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) (* x z))) (+ (/ 1 z) (/ y (* x z)))) (/ 1 x))) |
(* x (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) (* x z))) (+ (/ 1 z) (/ y (* x z)))) (/ 1 x))) |
(/ x z) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (/ y z)) 1) x)) (/ 1 z)))) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (/ y z)) 1) x)) (/ 1 z)))) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (/ y z)) 1) x)) (/ 1 z)))) |
(/ (+ x (+ y (* -1 (* (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 (+ y (* -1 (* (log y) (+ 1/2 y))))) z) |
(/ (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z) |
(/ (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z) |
(/ (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z) |
(* -1 (/ (+ (* -1 (+ x y)) (* (log y) (+ 1/2 y))) z)) |
(* -1 (/ (+ (* -1 (+ x y)) (* (log y) (+ 1/2 y))) z)) |
(* -1 (/ (+ (* -1 (+ x y)) (* (log y) (+ 1/2 y))) z)) |
(* -1 (/ (+ (* -1 (+ x y)) (* (log y) (+ 1/2 y))) z)) |
(+ (* -1/2 (/ (log y) z)) (/ x z)) |
(+ (* -1/2 (/ (log y) z)) (+ (* y (+ (* -1 (/ (log y) z)) (/ 1 z))) (/ x z))) |
(+ (* -1/2 (/ (log y) z)) (+ (* y (+ (* -1 (/ (log y) z)) (/ 1 z))) (/ x z))) |
(+ (* -1/2 (/ (log y) z)) (+ (* y (+ (* -1 (/ (log y) z)) (/ 1 z))) (/ x z))) |
(* y (+ (/ 1 z) (/ (log (/ 1 y)) z))) |
(* y (+ (* 1/2 (/ (log (/ 1 y)) (* y z))) (+ (/ 1 z) (+ (/ x (* y z)) (/ (log (/ 1 y)) z))))) |
(* y (+ (* 1/2 (/ (log (/ 1 y)) (* y z))) (+ (/ 1 z) (+ (/ x (* y z)) (/ (log (/ 1 y)) z))))) |
(* y (+ (* 1/2 (/ (log (/ 1 y)) (* y z))) (+ (/ 1 z) (+ (/ x (* y z)) (/ (log (/ 1 y)) z))))) |
(* -1 (* y (- (+ (* -1 (/ (log (/ -1 y)) z)) (/ (log -1) z)) (/ 1 z)))) |
(* -1 (* y (- (+ (* -1 (/ (log (/ -1 y)) z)) (+ (* -1 (/ (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) z)) (/ x z)) y)) (/ (log -1) z))) (/ 1 z)))) |
(* -1 (* y (- (+ (* -1 (/ (log (/ -1 y)) z)) (+ (* -1 (/ (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) z)) (/ x z)) y)) (/ (log -1) z))) (/ 1 z)))) |
(* -1 (* y (- (+ (* -1 (/ (log (/ -1 y)) z)) (+ (* -1 (/ (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) z)) (/ x z)) y)) (/ (log -1) z))) (/ 1 z)))) |
(+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (/ y z)) |
(+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z))) |
(+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z))) |
(+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z))) |
(/ x z) |
(* x (+ (* -1 (/ (* (log y) (+ 1/2 y)) (* x z))) (+ (/ 1 z) (/ y (* x z))))) |
(* x (+ (* -1 (/ (* (log y) (+ 1/2 y)) (* x z))) (+ (/ 1 z) (/ y (* x z))))) |
(* x (+ (* -1 (/ (* (log y) (+ 1/2 y)) (* x z))) (+ (/ 1 z) (/ y (* x z))))) |
(/ x z) |
(* -1 (* x (- (* -1 (/ (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (/ y z)) x)) (/ 1 z)))) |
(* -1 (* x (- (* -1 (/ (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (/ y z)) x)) (/ 1 z)))) |
(* -1 (* x (- (* -1 (/ (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (/ y z)) x)) (/ 1 z)))) |
(* -1/2 (/ (log y) z)) |
(+ (* -1 (/ (* y (log y)) z)) (* -1/2 (/ (log y) z))) |
(+ (* -1 (/ (* y (log y)) z)) (* -1/2 (/ (log y) z))) |
(+ (* -1 (/ (* y (log y)) z)) (* -1/2 (/ (log y) z))) |
(/ (* y (log (/ 1 y))) z) |
(* y (+ (* 1/2 (/ (log (/ 1 y)) (* y z))) (/ (log (/ 1 y)) z))) |
(* y (+ (* 1/2 (/ (log (/ 1 y)) (* y z))) (/ (log (/ 1 y)) z))) |
(* y (+ (* 1/2 (/ (log (/ 1 y)) (* y z))) (/ (log (/ 1 y)) z))) |
(* -1 (/ (* y (+ (log -1) (* -1 (log (/ -1 y))))) z)) |
(* -1 (* y (+ (* -1 (/ (log (/ -1 y)) z)) (+ (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) (* y z))) (/ (log -1) z))))) |
(* -1 (* y (+ (* -1 (/ (log (/ -1 y)) z)) (+ (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) (* y z))) (/ (log -1) z))))) |
(* -1 (* y (+ (* -1 (/ (log (/ -1 y)) z)) (+ (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) (* y z))) (/ (log -1) z))))) |
(* -1 (/ (* (log y) (+ 1/2 y)) z)) |
(* -1 (/ (* (log y) (+ 1/2 y)) z)) |
(* -1 (/ (* (log y) (+ 1/2 y)) z)) |
(* -1 (/ (* (log y) (+ 1/2 y)) z)) |
(* -1 (/ (* (log y) (+ 1/2 y)) z)) |
(* -1 (/ (* (log y) (+ 1/2 y)) z)) |
(* -1 (/ (* (log y) (+ 1/2 y)) z)) |
(* -1 (/ (* (log y) (+ 1/2 y)) z)) |
(* -1 (/ (* (log y) (+ 1/2 y)) z)) |
(* -1 (/ (* (log y) (+ 1/2 y)) z)) |
(* -1 (/ (* (log y) (+ 1/2 y)) z)) |
(* -1 (/ (* (log y) (+ 1/2 y)) z)) |
| Outputs |
|---|
(- y (+ z (* (log y) (+ 1/2 y)))) |
(-.f64 (-.f64 y z) (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))) |
(- (+ x y) (+ z (* (log y) (+ 1/2 y)))) |
(+.f64 (-.f64 (-.f64 y z) (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))) x) |
(- (+ x y) (+ z (* (log y) (+ 1/2 y)))) |
(+.f64 (-.f64 (-.f64 y z) (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))) x) |
(- (+ x y) (+ z (* (log y) (+ 1/2 y)))) |
(+.f64 (-.f64 (-.f64 y z) (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))) x) |
x |
(* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 y z) (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))) x))) |
(* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 y z) (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))) x))) |
(* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 y z) (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))) x))) |
x |
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (-.f64 y z) (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))) x)) (-.f64 #s(literal 0 binary64) x)) |
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (-.f64 y z) (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))) x)) (-.f64 #s(literal 0 binary64) x)) |
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (-.f64 y z) (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))) x)) (-.f64 #s(literal 0 binary64) x)) |
(- x (+ z (* 1/2 (log y)))) |
(+.f64 x (-.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64)) z)) |
(- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y)))) |
(+.f64 (-.f64 (-.f64 y z) (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))) x) |
(- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y)))) |
(+.f64 (-.f64 (-.f64 y z) (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))) x) |
(- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y)))) |
(+.f64 (-.f64 (-.f64 y z) (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))) x) |
(* y (- 1 (* -1 (log (/ 1 y))))) |
(*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y))) |
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y))))) |
(*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 x y) (-.f64 (-.f64 (/.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64)) y) (log.f64 y)) (/.f64 z y))))) |
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y))))) |
(*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 x y) (-.f64 (-.f64 (/.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64)) y) (log.f64 y)) (/.f64 z y))))) |
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y))))) |
(*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 x y) (-.f64 (-.f64 (/.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64)) y) (log.f64 y)) (/.f64 z y))))) |
(* y (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))) |
(*.f64 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 (-.f64 x z) (*.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64))))) 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 (-.f64 x z) (*.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64))))) 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 (-.f64 x z) (*.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64))))) 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 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))) |
(- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y))) |
(+.f64 (-.f64 (-.f64 y z) (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))) x) |
(- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y))) |
(+.f64 (-.f64 (-.f64 y z) (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))) x) |
(- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y))) |
(+.f64 (-.f64 (-.f64 y z) (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))) x) |
(* -1 z) |
(-.f64 #s(literal 0 binary64) z) |
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z)))) |
(*.f64 z (+.f64 #s(literal -1 binary64) (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 y x)) (*.f64 (log.f64 y) (/.f64 (+.f64 y #s(literal 1/2 binary64)) z))))) |
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z)))) |
(*.f64 z (+.f64 #s(literal -1 binary64) (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 y x)) (*.f64 (log.f64 y) (/.f64 (+.f64 y #s(literal 1/2 binary64)) z))))) |
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z)))) |
(*.f64 z (+.f64 #s(literal -1 binary64) (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 y x)) (*.f64 (log.f64 y) (/.f64 (+.f64 y #s(literal 1/2 binary64)) z))))) |
(* -1 z) |
(-.f64 #s(literal 0 binary64) z) |
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z))))) |
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(/.f64 (-.f64 (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))) (+.f64 y x)) (-.f64 #s(literal 0 binary64) z)) |
(* -1 (/ (+ (* -1 (+ x y)) (* (log y) (+ 1/2 y))) z)) |
(/.f64 (-.f64 (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))) (+.f64 y x)) (-.f64 #s(literal 0 binary64) z)) |
(+ (* -1/2 (/ (log y) z)) (/ x z)) |
(+.f64 (/.f64 x z) (/.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64)) z)) |
(+ (* -1/2 (/ (log y) z)) (+ (* y (+ (* -1 (/ (log y) z)) (/ 1 z))) (/ x z))) |
(+.f64 (*.f64 (/.f64 (log.f64 y) z) (-.f64 #s(literal -1/2 binary64) y)) (*.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 y x))) |
(+ (* -1/2 (/ (log y) z)) (+ (* y (+ (* -1 (/ (log y) z)) (/ 1 z))) (/ x z))) |
(+.f64 (*.f64 (/.f64 (log.f64 y) z) (-.f64 #s(literal -1/2 binary64) y)) (*.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 y x))) |
(+ (* -1/2 (/ (log y) z)) (+ (* y (+ (* -1 (/ (log y) z)) (/ 1 z))) (/ x z))) |
(+.f64 (*.f64 (/.f64 (log.f64 y) z) (-.f64 #s(literal -1/2 binary64) y)) (*.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 y x))) |
(* y (+ (/ 1 z) (/ (log (/ 1 y)) z))) |
(*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) (/.f64 y z)) |
(* y (+ (* 1/2 (/ (log (/ 1 y)) (* y z))) (+ (/ 1 z) (+ (/ x (* y z)) (/ (log (/ 1 y)) z))))) |
(*.f64 y (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x (*.f64 y z))) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 (log.f64 y) z))))) |
(* y (+ (* 1/2 (/ (log (/ 1 y)) (* y z))) (+ (/ 1 z) (+ (/ x (* y z)) (/ (log (/ 1 y)) z))))) |
(*.f64 y (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x (*.f64 y z))) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 (log.f64 y) z))))) |
(* y (+ (* 1/2 (/ (log (/ 1 y)) (* y z))) (+ (/ 1 z) (+ (/ x (* y z)) (/ (log (/ 1 y)) z))))) |
(*.f64 y (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x (*.f64 y z))) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 (log.f64 y) z))))) |
(* -1 (* y (- (+ (* -1 (/ (log (/ -1 y)) z)) (/ (log -1) z)) (/ 1 z)))) |
(*.f64 y (+.f64 (/.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64))) z) (neg.f64 (/.f64 #s(literal -1 binary64) z)))) |
(* -1 (* y (- (+ (* -1 (/ (log (/ -1 y)) z)) (+ (* -1 (/ (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) z)) (/ x z)) y)) (/ (log -1) z))) (/ 1 z)))) |
(*.f64 (+.f64 (-.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) z) (/.f64 (+.f64 (/.f64 x z) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64)))) z)) y)) (/.f64 #s(literal -1 binary64) z)) (-.f64 #s(literal 0 binary64) y)) |
(* -1 (* y (- (+ (* -1 (/ (log (/ -1 y)) z)) (+ (* -1 (/ (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) z)) (/ x z)) y)) (/ (log -1) z))) (/ 1 z)))) |
(*.f64 (+.f64 (-.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) z) (/.f64 (+.f64 (/.f64 x z) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64)))) z)) y)) (/.f64 #s(literal -1 binary64) z)) (-.f64 #s(literal 0 binary64) y)) |
(* -1 (* y (- (+ (* -1 (/ (log (/ -1 y)) z)) (+ (* -1 (/ (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) z)) (/ x z)) y)) (/ (log -1) z))) (/ 1 z)))) |
(*.f64 (+.f64 (-.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) z) (/.f64 (+.f64 (/.f64 x z) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64)))) z)) y)) (/.f64 #s(literal -1 binary64) z)) (-.f64 #s(literal 0 binary64) y)) |
(+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (/ y z)) |
(-.f64 (/.f64 y z) (*.f64 (log.f64 y) (/.f64 (+.f64 y #s(literal 1/2 binary64)) z))) |
(+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z))) |
(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 y x)) (*.f64 (log.f64 y) (/.f64 (+.f64 y #s(literal 1/2 binary64)) z))) |
(+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z))) |
(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 y x)) (*.f64 (log.f64 y) (/.f64 (+.f64 y #s(literal 1/2 binary64)) z))) |
(+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z))) |
(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 y x)) (*.f64 (log.f64 y) (/.f64 (+.f64 y #s(literal 1/2 binary64)) z))) |
(/ x z) |
(/.f64 x z) |
(* x (+ (* -1 (/ (* (log y) (+ 1/2 y)) (* x z))) (+ (/ 1 z) (/ y (* x z))))) |
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (-.f64 (/.f64 y z) (*.f64 (log.f64 y) (/.f64 (+.f64 y #s(literal 1/2 binary64)) z))) x))) |
(* x (+ (* -1 (/ (* (log y) (+ 1/2 y)) (* x z))) (+ (/ 1 z) (/ y (* x z))))) |
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (-.f64 (/.f64 y z) (*.f64 (log.f64 y) (/.f64 (+.f64 y #s(literal 1/2 binary64)) z))) x))) |
(* x (+ (* -1 (/ (* (log y) (+ 1/2 y)) (* x z))) (+ (/ 1 z) (/ y (* x z))))) |
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (-.f64 (/.f64 y z) (*.f64 (log.f64 y) (/.f64 (+.f64 y #s(literal 1/2 binary64)) z))) x))) |
(/ x z) |
(/.f64 x z) |
(* -1 (* x (- (* -1 (/ (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (/ y z)) x)) (/ 1 z)))) |
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (-.f64 (/.f64 y z) (*.f64 (log.f64 y) (/.f64 (+.f64 y #s(literal 1/2 binary64)) z))) x))) |
(* -1 (* x (- (* -1 (/ (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (/ y z)) x)) (/ 1 z)))) |
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (-.f64 (/.f64 y z) (*.f64 (log.f64 y) (/.f64 (+.f64 y #s(literal 1/2 binary64)) z))) x))) |
(* -1 (* x (- (* -1 (/ (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (/ y z)) x)) (/ 1 z)))) |
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (-.f64 (/.f64 y z) (*.f64 (log.f64 y) (/.f64 (+.f64 y #s(literal 1/2 binary64)) z))) x))) |
(* -1/2 (/ (log y) z)) |
(/.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64)) z) |
(+ (* -1 (/ (* y (log y)) z)) (* -1/2 (/ (log y) z))) |
(*.f64 (/.f64 (log.f64 y) z) (-.f64 #s(literal -1/2 binary64) y)) |
(+ (* -1 (/ (* y (log y)) z)) (* -1/2 (/ (log y) z))) |
(*.f64 (/.f64 (log.f64 y) z) (-.f64 #s(literal -1/2 binary64) y)) |
(+ (* -1 (/ (* y (log y)) z)) (* -1/2 (/ (log y) z))) |
(*.f64 (/.f64 (log.f64 y) z) (-.f64 #s(literal -1/2 binary64) y)) |
(/ (* y (log (/ 1 y))) z) |
(/.f64 (*.f64 y (-.f64 #s(literal 0 binary64) (log.f64 y))) z) |
(* y (+ (* 1/2 (/ (log (/ 1 y)) (* y z))) (/ (log (/ 1 y)) z))) |
(*.f64 y (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 (log.f64 y) z)))) |
(* y (+ (* 1/2 (/ (log (/ 1 y)) (* y z))) (/ (log (/ 1 y)) z))) |
(*.f64 y (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 (log.f64 y) z)))) |
(* y (+ (* 1/2 (/ (log (/ 1 y)) (* y z))) (/ (log (/ 1 y)) z))) |
(*.f64 y (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 (log.f64 y) z)))) |
(* -1 (/ (* y (+ (log -1) (* -1 (log (/ -1 y))))) z)) |
(*.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64))) (/.f64 y z)) |
(* -1 (* y (+ (* -1 (/ (log (/ -1 y)) z)) (+ (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) (* y z))) (/ (log -1) z))))) |
(*.f64 (+.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) z) (/.f64 (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (/.f64 #s(literal 1/2 binary64) y)) z)) (-.f64 #s(literal 0 binary64) y)) |
(* -1 (* y (+ (* -1 (/ (log (/ -1 y)) z)) (+ (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) (* y z))) (/ (log -1) z))))) |
(*.f64 (+.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) z) (/.f64 (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (/.f64 #s(literal 1/2 binary64) y)) z)) (-.f64 #s(literal 0 binary64) y)) |
(* -1 (* y (+ (* -1 (/ (log (/ -1 y)) z)) (+ (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) (* y z))) (/ (log -1) z))))) |
(*.f64 (+.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) z) (/.f64 (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (/.f64 #s(literal 1/2 binary64) y)) z)) (-.f64 #s(literal 0 binary64) y)) |
(* -1 (/ (* (log y) (+ 1/2 y)) z)) |
(/.f64 (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) z)) |
(* -1 (/ (* (log y) (+ 1/2 y)) z)) |
(/.f64 (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) z)) |
(* -1 (/ (* (log y) (+ 1/2 y)) z)) |
(/.f64 (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) z)) |
(* -1 (/ (* (log y) (+ 1/2 y)) z)) |
(/.f64 (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) z)) |
(* -1 (/ (* (log y) (+ 1/2 y)) z)) |
(/.f64 (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) z)) |
(* -1 (/ (* (log y) (+ 1/2 y)) z)) |
(/.f64 (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) z)) |
(* -1 (/ (* (log y) (+ 1/2 y)) z)) |
(/.f64 (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) z)) |
(* -1 (/ (* (log y) (+ 1/2 y)) z)) |
(/.f64 (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) z)) |
(* -1 (/ (* (log y) (+ 1/2 y)) z)) |
(/.f64 (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) z)) |
(* -1 (/ (* (log y) (+ 1/2 y)) z)) |
(/.f64 (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) z)) |
(* -1 (/ (* (log y) (+ 1/2 y)) z)) |
(/.f64 (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) z)) |
(* -1 (/ (* (log y) (+ 1/2 y)) z)) |
(/.f64 (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) z)) |
Compiled 39 740 to 3 558 computations (91% saved)
21 alts after pruning (18 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 282 | 12 | 1 294 |
| Fresh | 5 | 6 | 11 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 289 | 21 | 1 310 |
| Status | Accuracy | Program |
|---|---|---|
| 28.3% | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log.f64 y) #s(literal 2 binary64))) y) (+.f64 (log.f64 y) #s(literal 1 binary64))) | |
| ▶ | 99.5% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) (+.f64 x (-.f64 y z))))) |
| ▶ | 99.7% | (-.f64 (-.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64))) (log.f64 y))) y)) z) |
| 72.4% | (-.f64 (-.f64 x (*.f64 (log.f64 y) #s(literal 1/2 binary64))) z) | |
| 85.9% | (-.f64 (-.f64 x (*.f64 y (+.f64 (log.f64 y) #s(literal -1 binary64)))) z) | |
| ✓ | 99.8% | (-.f64 (+.f64 (-.f64 x (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64))))) y) z) |
| 87.1% | (-.f64 (+.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (log.f64 y) (/.f64 (+.f64 y #s(literal 1/2 binary64)) x)))) y) z) | |
| ▶ | 68.8% | (-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))) |
| 57.7% | (-.f64 (+.f64 x y) z) | |
| 58.7% | (-.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y))) z) | |
| 58.3% | (-.f64 x z) | |
| ▶ | 32.2% | (-.f64 #s(literal 0 binary64) z) |
| 99.5% | (*.f64 (+.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) (+.f64 x (+.f64 y z))) (*.f64 (+.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) (+.f64 x (-.f64 y z))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) (+.f64 x (+.f64 y z)))))) | |
| 19.5% | (*.f64 z (/.f64 x z)) | |
| ▶ | 49.4% | (*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 x z))) |
| 63.5% | (*.f64 z (+.f64 #s(literal -1 binary64) (+.f64 (/.f64 x z) (/.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64)) z)))) | |
| 80.0% | (*.f64 z (+.f64 #s(literal -1 binary64) (+.f64 (*.f64 (/.f64 (log.f64 y) z) (-.f64 #s(literal -1/2 binary64) y)) (*.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 y x))))) | |
| 18.8% | (*.f64 z (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) (/.f64 y z))) | |
| ✓ | 28.7% | (*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y))) |
| 73.0% | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (+.f64 #s(literal -1 binary64) (/.f64 y z)) (*.f64 (log.f64 y) (/.f64 (+.f64 y #s(literal 1/2 binary64)) z))) (/.f64 z x)))) | |
| ✓ | 28.4% | x |
Compiled 590 to 384 computations (34.9% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) |
| ✓ | cost-diff | 0 | (+.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) (+.f64 x (-.f64 y z))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) (+.f64 x (-.f64 y z)))) |
| ✓ | cost-diff | 256 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) (+.f64 x (-.f64 y z))))) |
| ✓ | cost-diff | 0 | (log.f64 y) |
| ✓ | cost-diff | 0 | (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))) |
| ✓ | cost-diff | 0 | (+.f64 y x) |
| ✓ | cost-diff | 0 | (-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))) |
| ✓ | cost-diff | 0 | (/.f64 x z) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal -1 binary64) (/.f64 x z)) |
| ✓ | cost-diff | 256 | (*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 x z))) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 0 binary64) z) |
| ✓ | cost-diff | 0 | (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64))) (log.f64 y))) y) |
| ✓ | cost-diff | 0 | (-.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64))) (log.f64 y))) y)) |
| ✓ | cost-diff | 0 | (-.f64 (-.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64))) (log.f64 y))) y)) z) |
| ✓ | cost-diff | 256 | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64))) (log.f64 y))) |
| 6 208× | accelerator-lowering-fma.f32 |
| 6 208× | accelerator-lowering-fma.f64 |
| 1 512× | *-lowering-*.f32 |
| 1 512× | *-lowering-*.f64 |
| 1 264× | --lowering--.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 202 |
| 1 | 80 | 170 |
| 2 | 228 | 170 |
| 3 | 647 | 166 |
| 4 | 1937 | 166 |
| 5 | 3680 | 166 |
| 6 | 5700 | 166 |
| 7 | 6484 | 166 |
| 8 | 6786 | 166 |
| 9 | 6914 | 166 |
| 10 | 7007 | 166 |
| 11 | 7546 | 166 |
| 12 | 7772 | 166 |
| 0 | 8070 | 160 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (- x (- (/ 1 (/ (/ 1 (+ y 1/2)) (log y))) y)) z) |
(- x (- (/ 1 (/ (/ 1 (+ y 1/2)) (log y))) y)) |
x |
(- (/ 1 (/ (/ 1 (+ y 1/2)) (log y))) y) |
(/ 1 (/ (/ 1 (+ y 1/2)) (log y))) |
1 |
(/ (/ 1 (+ y 1/2)) (log y)) |
(/ 1 (+ y 1/2)) |
(+ y 1/2) |
y |
1/2 |
(log y) |
z |
(- 0 z) |
0 |
z |
(* z (+ -1 (/ x z))) |
z |
(+ -1 (/ x z)) |
-1 |
(/ x z) |
x |
(- (+ y x) (* (log y) (+ y 1/2))) |
(+ y x) |
y |
x |
(* (log y) (+ y 1/2)) |
(log y) |
(+ y 1/2) |
1/2 |
(/ 1 (/ 1 (+ (* (log y) (- -1/2 y)) (+ x (- y z))))) |
1 |
(/ 1 (+ (* (log y) (- -1/2 y)) (+ x (- y z)))) |
(+ (* (log y) (- -1/2 y)) (+ x (- y z))) |
(* (log y) (- -1/2 y)) |
(log y) |
y |
(- -1/2 y) |
-1/2 |
(+ x (- y z)) |
x |
(- y z) |
z |
| Outputs |
|---|
(- (- x (- (/ 1 (/ (/ 1 (+ y 1/2)) (log y))) y)) z) |
(-.f64 (+.f64 y (-.f64 x z)) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) |
(- x (- (/ 1 (/ (/ 1 (+ y 1/2)) (log y))) y)) |
(-.f64 (+.f64 x y) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) |
x |
(- (/ 1 (/ (/ 1 (+ y 1/2)) (log y))) y) |
(-.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) y) |
(/ 1 (/ (/ 1 (+ y 1/2)) (log y))) |
(*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) |
1 |
#s(literal 1 binary64) |
(/ (/ 1 (+ y 1/2)) (log y)) |
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64))) (log.f64 y)) |
(/ 1 (+ y 1/2)) |
(/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64))) |
(+ y 1/2) |
(+.f64 y #s(literal 1/2 binary64)) |
y |
1/2 |
#s(literal 1/2 binary64) |
(log y) |
(log.f64 y) |
z |
(- 0 z) |
(-.f64 #s(literal 0 binary64) z) |
0 |
#s(literal 0 binary64) |
z |
(* z (+ -1 (/ x z))) |
(-.f64 x z) |
z |
(+ -1 (/ x z)) |
(+.f64 #s(literal -1 binary64) (/.f64 x z)) |
-1 |
#s(literal -1 binary64) |
(/ x z) |
(/.f64 x z) |
x |
(- (+ y x) (* (log y) (+ y 1/2))) |
(-.f64 (+.f64 x y) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) |
(+ y x) |
(+.f64 x y) |
y |
x |
(* (log y) (+ y 1/2)) |
(*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) |
(log y) |
(log.f64 y) |
(+ y 1/2) |
(+.f64 y #s(literal 1/2 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
(/ 1 (/ 1 (+ (* (log y) (- -1/2 y)) (+ x (- y z))))) |
(-.f64 (+.f64 y (-.f64 x z)) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) |
1 |
#s(literal 1 binary64) |
(/ 1 (+ (* (log y) (- -1/2 y)) (+ x (- y z)))) |
(/.f64 #s(literal 1 binary64) (-.f64 (+.f64 y (-.f64 x z)) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)))) |
(+ (* (log y) (- -1/2 y)) (+ x (- y z))) |
(-.f64 (+.f64 y (-.f64 x z)) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) |
(* (log y) (- -1/2 y)) |
(*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) |
(log y) |
(log.f64 y) |
y |
(- -1/2 y) |
(-.f64 #s(literal -1/2 binary64) y) |
-1/2 |
#s(literal -1/2 binary64) |
(+ x (- y z)) |
(+.f64 y (-.f64 x z)) |
x |
(- y z) |
(-.f64 y z) |
z |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.9% | (+.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) (+.f64 x (-.f64 y z))) |
| ✓ | accuracy | 99.8% | (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) (+.f64 x (-.f64 y z)))) |
| ✓ | accuracy | 99.8% | (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) |
| ✓ | accuracy | 99.6% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) (+.f64 x (-.f64 y z))))) |
| ✓ | accuracy | 100.0% | (+.f64 y #s(literal 1/2 binary64)) |
| ✓ | accuracy | 100.0% | (log.f64 y) |
| ✓ | accuracy | 99.8% | (-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))) |
| ✓ | accuracy | 99.8% | (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))) |
| ✓ | accuracy | 100.0% | (/.f64 x z) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal -1 binary64) (/.f64 x z)) |
| ✓ | accuracy | 89.6% | (*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 x z))) |
| ✓ | accuracy | 100.0% | (-.f64 #s(literal 0 binary64) z) |
| ✓ | accuracy | 100.0% | (-.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64))) (log.f64 y))) y)) |
| ✓ | accuracy | 99.8% | (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64))) (log.f64 y))) y) |
| ✓ | accuracy | 99.6% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64))) (log.f64 y))) |
| ✓ | accuracy | 99.5% | (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64))) (log.f64 y)) |
| 940.0ms | 256× | 0 | valid |
Compiled 193 to 32 computations (83.4% saved)
ival-sub: 899.0ms (97.4% of total)ival-div: 10.0ms (1.1% of total)ival-add: 6.0ms (0.7% of total)ival-mult: 4.0ms (0.4% of total)ival-log: 3.0ms (0.3% of total)exact: 1.0ms (0.1% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ 1 (/ (/ 1 (+ y 1/2)) (log y)))> |
#<alt (- (- x (- (/ 1 (/ (/ 1 (+ y 1/2)) (log y))) y)) z)> |
#<alt (- x (- (/ 1 (/ (/ 1 (+ y 1/2)) (log y))) y))> |
#<alt (- (/ 1 (/ (/ 1 (+ y 1/2)) (log y))) y)> |
#<alt (- 0 z)> |
#<alt (* z (+ -1 (/ x z)))> |
#<alt (+ -1 (/ x z))> |
#<alt (/ x z)> |
#<alt (- (+ y x) (* (log y) (+ y 1/2)))> |
#<alt (+ y x)> |
#<alt (* (log y) (+ y 1/2))> |
#<alt (log y)> |
#<alt (/ 1 (/ 1 (+ (* (log y) (- -1/2 y)) (+ x (- y z)))))> |
#<alt (/ 1 (+ (* (log y) (- -1/2 y)) (+ x (- y z))))> |
#<alt (+ (* (log y) (- -1/2 y)) (+ x (- y z)))> |
#<alt (* (log y) (- -1/2 y))> |
#<alt (/ (/ 1 (+ y 1/2)) (log y))> |
#<alt (+ y 1/2)> |
| 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 (- 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) 1)))> |
#<alt (+ (* 1/2 (log y)) (* y (- (log y) 1)))> |
#<alt (+ (* 1/2 (log y)) (* y (- (log y) 1)))> |
#<alt (* y (- (* -1 (log (/ 1 y))) 1))> |
#<alt (* y (- (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))) 1))> |
#<alt (* y (- (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))) 1))> |
#<alt (* y (- (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))) 1))> |
#<alt (* -1 (* y (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))))> |
#<alt (* -1 (* y (+ 1 (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y))))))> |
#<alt (* -1 (* y (+ 1 (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y))))))> |
#<alt (* -1 (* y (+ 1 (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y))))))> |
#<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 x> |
#<alt (+ x (* -1 z))> |
#<alt (+ x (* -1 z))> |
#<alt (+ x (* -1 z))> |
#<alt (* -1 z)> |
#<alt (* z (- (/ x z) 1))> |
#<alt (* z (- (/ x z) 1))> |
#<alt (* z (- (/ x z) 1))> |
#<alt (* -1 z)> |
#<alt (* -1 (* z (+ 1 (* -1 (/ x z)))))> |
#<alt (* -1 (* z (+ 1 (* -1 (/ x z)))))> |
#<alt (* -1 (* z (+ 1 (* -1 (/ x z)))))> |
#<alt (* -1 z)> |
#<alt (+ x (* -1 z))> |
#<alt (+ x (* -1 z))> |
#<alt (+ x (* -1 z))> |
#<alt x> |
#<alt (* x (+ 1 (* -1 (/ z x))))> |
#<alt (* x (+ 1 (* -1 (/ z x))))> |
#<alt (* x (+ 1 (* -1 (/ z x))))> |
#<alt x> |
#<alt (* -1 (* x (- (/ z x) 1)))> |
#<alt (* -1 (* x (- (/ z x) 1)))> |
#<alt (* -1 (* x (- (/ z x) 1)))> |
#<alt -1> |
#<alt (- (/ x z) 1)> |
#<alt (- (/ x z) 1)> |
#<alt (- (/ x z) 1)> |
#<alt (/ x z)> |
#<alt (* x (- (/ 1 z) (/ 1 x)))> |
#<alt (* x (- (/ 1 z) (/ 1 x)))> |
#<alt (* x (- (/ 1 z) (/ 1 x)))> |
#<alt (/ x z)> |
#<alt (* -1 (* x (- (/ 1 x) (/ 1 z))))> |
#<alt (* -1 (* x (- (/ 1 x) (/ 1 z))))> |
#<alt (* -1 (* x (- (/ 1 x) (/ 1 z))))> |
#<alt (/ x z)> |
#<alt (/ (+ x (* -1 z)) z)> |
#<alt (/ (+ x (* -1 z)) z)> |
#<alt (/ (+ x (* -1 z)) z)> |
#<alt -1> |
#<alt (- (/ x z) 1)> |
#<alt (- (/ x z) 1)> |
#<alt (- (/ x z) 1)> |
#<alt -1> |
#<alt (- (/ x z) 1)> |
#<alt (- (/ x z) 1)> |
#<alt (- (/ x z) 1)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (- x (* 1/2 (log y)))> |
#<alt (- (+ x (* y (- 1 (log y)))) (* 1/2 (log y)))> |
#<alt (- (+ x (* y (- 1 (log y)))) (* 1/2 (log y)))> |
#<alt (- (+ x (* y (- 1 (log y)))) (* 1/2 (log y)))> |
#<alt (* y (- 1 (* -1 (log (/ 1 y)))))> |
#<alt (* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y)))))> |
#<alt (* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y)))))> |
#<alt (* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y)))))> |
#<alt (* y (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))> |
#<alt (* -1 (* y (- (* -1 (/ (- x (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))))> |
#<alt (* -1 (* y (- (* -1 (/ (- x (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))))> |
#<alt (* -1 (* y (- (* -1 (/ (- x (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))))> |
#<alt (- y (* (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> |
#<alt (+ x y)> |
#<alt (+ x y)> |
#<alt (+ x y)> |
#<alt y> |
#<alt (* y (+ 1 (/ x y)))> |
#<alt (* y (+ 1 (/ x y)))> |
#<alt (* y (+ 1 (/ x y)))> |
#<alt y> |
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))> |
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))> |
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))> |
#<alt y> |
#<alt (+ x y)> |
#<alt (+ x y)> |
#<alt (+ x y)> |
#<alt x> |
#<alt (* x (+ 1 (/ y x)))> |
#<alt (* x (+ 1 (/ y x)))> |
#<alt (* x (+ 1 (/ y x)))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))> |
#<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 (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 (- (+ x (* -1/2 (log y))) z)> |
#<alt (- (+ x (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y)))))) z)> |
#<alt (- (+ x (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y)))))) z)> |
#<alt (- (+ x (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y)))))) z)> |
#<alt (* y (+ 1 (log (/ 1 y))))> |
#<alt (* y (- (+ 1 (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y)))) (/ z y)))> |
#<alt (* y (- (+ 1 (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y)))) (/ z y)))> |
#<alt (* y (- (+ 1 (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y)))) (/ z y)))> |
#<alt (* -1 (* y (- (+ (log -1) (* -1 (log (/ -1 y)))) 1)))> |
#<alt (* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) z) y)))) 1)))> |
#<alt (* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) z) y)))) 1)))> |
#<alt (* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) z) y)))) 1)))> |
#<alt (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z)> |
#<alt (- (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z)> |
#<alt (- (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z)> |
#<alt (- (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z)> |
#<alt x> |
#<alt (* x (- (+ 1 (+ (* -1 (/ (* (log y) (+ 1/2 y)) x)) (/ y x))) (/ z x)))> |
#<alt (* x (- (+ 1 (+ (* -1 (/ (* (log y) (+ 1/2 y)) x)) (/ y x))) (/ z x)))> |
#<alt (* x (- (+ 1 (+ (* -1 (/ (* (log y) (+ 1/2 y)) x)) (/ y x))) (/ z x)))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) x)) 1)))> |
#<alt (+ x (+ y (* -1 (* (log y) (+ 1/2 y)))))> |
#<alt (+ x (+ y (+ (* -1 z) (* -1 (* (log y) (+ 1/2 y))))))> |
#<alt (+ x (+ y (+ (* -1 z) (* -1 (* (log y) (+ 1/2 y))))))> |
#<alt (+ x (+ y (+ (* -1 z) (* -1 (* (log y) (+ 1/2 y))))))> |
#<alt (* -1 z)> |
#<alt (* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z))) 1))> |
#<alt (* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z))) 1))> |
#<alt (* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z))) 1))> |
#<alt (* -1 z)> |
#<alt (* -1 (* z (+ 1 (* -1 (/ (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z)))))> |
#<alt (* -1 (* z (+ 1 (* -1 (/ (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z)))))> |
#<alt (* -1 (* z (+ 1 (* -1 (/ (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z)))))> |
#<alt (/ 1 (- (+ x (* -1/2 (log y))) z))> |
#<alt (+ (* -1 (* y (+ (* -1 (/ (log y) (pow (- (+ x (* -1/2 (log y))) z) 2))) (/ 1 (pow (- (+ x (* -1/2 (log y))) z) 2))))) (/ 1 (- (+ x (* -1/2 (log y))) z)))> |
#<alt (+ (* y (- (/ (* y (* (+ 1 (* -1 (log y))) (+ (* -1 (/ (log y) (pow (- (+ x (* -1/2 (log y))) z) 2))) (/ 1 (pow (- (+ x (* -1/2 (log y))) z) 2))))) (- (+ x (* -1/2 (log y))) z)) (+ (* -1 (/ (log y) (pow (- (+ x (* -1/2 (log y))) z) 2))) (/ 1 (pow (- (+ x (* -1/2 (log y))) z) 2))))) (/ 1 (- (+ x (* -1/2 (log y))) z)))> |
#<alt (+ (* y (- (* y (- (* -1 (/ (* y (* (pow (+ 1 (* -1 (log y))) 2) (+ (* -1 (/ (log y) (pow (- (+ x (* -1/2 (log y))) z) 2))) (/ 1 (pow (- (+ x (* -1/2 (log y))) z) 2))))) (pow (- (+ x (* -1/2 (log y))) z) 2))) (* -1 (/ (* (+ 1 (* -1 (log y))) (+ (* -1 (/ (log y) (pow (- (+ x (* -1/2 (log y))) z) 2))) (/ 1 (pow (- (+ x (* -1/2 (log y))) z) 2)))) (- (+ x (* -1/2 (log y))) z))))) (+ (* -1 (/ (log y) (pow (- (+ x (* -1/2 (log y))) z) 2))) (/ 1 (pow (- (+ x (* -1/2 (log y))) z) 2))))) (/ 1 (- (+ x (* -1/2 (log y))) z)))> |
#<alt (/ 1 (* y (+ 1 (log (/ 1 y)))))> |
#<alt (/ (- (+ (/ 1 (+ 1 (log (/ 1 y)))) (/ z (* y (pow (+ 1 (log (/ 1 y))) 2)))) (+ (* 1/2 (/ (log (/ 1 y)) (* y (pow (+ 1 (log (/ 1 y))) 2)))) (/ x (* y (pow (+ 1 (log (/ 1 y))) 2))))) y)> |
#<alt (/ (- (+ (* -1 (/ (* (- (+ x (* 1/2 (log (/ 1 y)))) z) (- (/ z (pow (+ 1 (log (/ 1 y))) 2)) (+ (* 1/2 (/ (log (/ 1 y)) (pow (+ 1 (log (/ 1 y))) 2))) (/ x (pow (+ 1 (log (/ 1 y))) 2))))) (* (pow y 2) (+ 1 (log (/ 1 y)))))) (+ (/ 1 (+ 1 (log (/ 1 y)))) (/ z (* y (pow (+ 1 (log (/ 1 y))) 2))))) (+ (* 1/2 (/ (log (/ 1 y)) (* y (pow (+ 1 (log (/ 1 y))) 2)))) (/ x (* y (pow (+ 1 (log (/ 1 y))) 2))))) y)> |
#<alt (/ (- (+ (/ 1 (+ 1 (log (/ 1 y)))) (+ (/ z (* y (pow (+ 1 (log (/ 1 y))) 2))) (/ (* (pow (- (+ x (* 1/2 (log (/ 1 y)))) z) 2) (- (/ z (pow (+ 1 (log (/ 1 y))) 2)) (+ (* 1/2 (/ (log (/ 1 y)) (pow (+ 1 (log (/ 1 y))) 2))) (/ x (pow (+ 1 (log (/ 1 y))) 2))))) (* (pow y 3) (pow (+ 1 (log (/ 1 y))) 2))))) (+ (* 1/2 (/ (log (/ 1 y)) (* y (pow (+ 1 (log (/ 1 y))) 2)))) (+ (/ x (* y (pow (+ 1 (log (/ 1 y))) 2))) (/ (* (- (+ x (* 1/2 (log (/ 1 y)))) z) (- (/ z (pow (+ 1 (log (/ 1 y))) 2)) (+ (* 1/2 (/ (log (/ 1 y)) (pow (+ 1 (log (/ 1 y))) 2))) (/ x (pow (+ 1 (log (/ 1 y))) 2))))) (* (pow y 2) (+ 1 (log (/ 1 y)))))))) y)> |
#<alt (/ -1 (* y (- (+ (log -1) (* -1 (log (/ -1 y)))) 1)))> |
#<alt (* -1 (/ (+ (* -1 (/ (- (/ z (pow (- (+ (log -1) (* -1 (log (/ -1 y)))) 1) 2)) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) (pow (- (+ (log -1) (* -1 (log (/ -1 y)))) 1) 2))) (/ x (pow (- (+ (log -1) (* -1 (log (/ -1 y)))) 1) 2)))) y)) (/ 1 (- (+ (log -1) (* -1 (log (/ -1 y)))) 1))) y))> |
#<alt (* -1 (/ (+ (* -1 (/ (- (+ (/ z (pow (- (+ (log -1) (* -1 (log (/ -1 y)))) 1) 2)) (/ (* (- (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) z) (- (/ z (pow (- (+ (log -1) (* -1 (log (/ -1 y)))) 1) 2)) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) (pow (- (+ (log -1) (* -1 (log (/ -1 y)))) 1) 2))) (/ x (pow (- (+ (log -1) (* -1 (log (/ -1 y)))) 1) 2))))) (* y (- (+ (log -1) (* -1 (log (/ -1 y)))) 1)))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) (pow (- (+ (log -1) (* -1 (log (/ -1 y)))) 1) 2))) (/ x (pow (- (+ (log -1) (* -1 (log (/ -1 y)))) 1) 2)))) y)) (/ 1 (- (+ (log -1) (* -1 (log (/ -1 y)))) 1))) y))> |
#<alt (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) z) 2) (- (/ z (pow (- (+ (log -1) (* -1 (log (/ -1 y)))) 1) 2)) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) (pow (- (+ (log -1) (* -1 (log (/ -1 y)))) 1) 2))) (/ x (pow (- (+ (log -1) (* -1 (log (/ -1 y)))) 1) 2))))) (* y (pow (- (+ (log -1) (* -1 (log (/ -1 y)))) 1) 2)))) (/ (* (- (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) z) (- (/ z (pow (- (+ (log -1) (* -1 (log (/ -1 y)))) 1) 2)) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) (pow (- (+ (log -1) (* -1 (log (/ -1 y)))) 1) 2))) (/ x (pow (- (+ (log -1) (* -1 (log (/ -1 y)))) 1) 2))))) (- (+ (log -1) (* -1 (log (/ -1 y)))) 1))) y)) (/ z (pow (- (+ (log -1) (* -1 (log (/ -1 y)))) 1) 2))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) (pow (- (+ (log -1) (* -1 (log (/ -1 y)))) 1) 2))) (/ x (pow (- (+ (log -1) (* -1 (log (/ -1 y)))) 1) 2)))) y)) (/ 1 (- (+ (log -1) (* -1 (log (/ -1 y)))) 1))) y))> |
#<alt (/ 1 (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z))> |
#<alt (+ (* -1 (/ x (pow (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) 2))) (/ 1 (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z)))> |
#<alt (+ (* x (- (/ x (pow (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) 3)) (/ 1 (pow (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) 2)))) (/ 1 (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z)))> |
#<alt (+ (* x (- (* x (+ (* -1 (/ x (pow (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) 4))) (/ 1 (pow (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) 3)))) (/ 1 (pow (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) 2)))) (/ 1 (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z)))> |
#<alt (/ 1 x)> |
#<alt (/ (- (+ 1 (/ z x)) (+ (* -1 (/ (* (log y) (+ 1/2 y)) x)) (/ y x))) x)> |
#<alt (/ (- (+ 1 (+ (* -1 (/ (* (- z (+ y (* -1 (* (log y) (+ 1/2 y))))) (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z)) (pow x 2))) (/ z x))) (+ (* -1 (/ (* (log y) (+ 1/2 y)) x)) (/ y x))) x)> |
#<alt (/ (- (+ 1 (+ (/ z x) (/ (* (- z (+ y (* -1 (* (log y) (+ 1/2 y))))) (pow (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) 2)) (pow x 3)))) (+ (* -1 (/ (* (log y) (+ 1/2 y)) x)) (+ (/ y x) (/ (* (- z (+ y (* -1 (* (log y) (+ 1/2 y))))) (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z)) (pow x 2))))) x)> |
#<alt (/ 1 x)> |
#<alt (* -1 (/ (- (* -1 (/ (- z (+ y (* -1 (* (log y) (+ 1/2 y))))) x)) 1) x))> |
#<alt (* -1 (/ (- (* -1 (/ (- (+ z (* -1 (/ (* (- z (+ y (* -1 (* (log y) (+ 1/2 y))))) (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z)) x))) (+ y (* -1 (* (log y) (+ 1/2 y))))) x)) 1) x))> |
#<alt (* -1 (/ (- (* -1 (/ (- (+ z (* -1 (/ (- (* -1 (/ (* (- z (+ y (* -1 (* (log y) (+ 1/2 y))))) (pow (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) 2)) x)) (* -1 (* (- z (+ y (* -1 (* (log y) (+ 1/2 y))))) (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z)))) x))) (+ y (* -1 (* (log y) (+ 1/2 y))))) x)) 1) x))> |
#<alt (/ 1 (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))))> |
#<alt (+ (/ 1 (+ x (+ y (* -1 (* (log y) (+ 1/2 y)))))) (/ z (pow (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) 2)))> |
#<alt (+ (* z (+ (/ 1 (pow (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) 2)) (/ z (pow (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) 3)))) (/ 1 (+ x (+ y (* -1 (* (log y) (+ 1/2 y)))))))> |
#<alt (+ (* z (+ (* z (+ (/ 1 (pow (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) 3)) (/ z (pow (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) 4)))) (/ 1 (pow (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) 2)))) (/ 1 (+ x (+ y (* -1 (* (log y) (+ 1/2 y)))))))> |
#<alt (/ -1 z)> |
#<alt (/ (- (* -1 (/ (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z)) 1) z)> |
#<alt (/ (- (* -1 (/ (pow (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) 2) (pow z 2))) (+ 1 (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z))))) z)> |
#<alt (/ (- (* -1 (/ (pow (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) 3) (pow z 3))) (+ 1 (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (+ (/ y z) (/ (pow (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) 2) (pow z 2))))))) z)> |
#<alt (/ -1 z)> |
#<alt (* -1 (/ (+ 1 (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z)))) z))> |
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) 2) z)) (+ x (+ y (* -1 (* (log y) (+ 1/2 y)))))) z))) z))> |
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) 3) z) (* -1 (pow (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) 2))) z)) (+ x (+ y (* -1 (* (log y) (+ 1/2 y)))))) z))) z))> |
#<alt (- (+ x (* -1/2 (log y))) z)> |
#<alt (- (+ x (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y)))))) z)> |
#<alt (- (+ x (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y)))))) z)> |
#<alt (- (+ x (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y)))))) z)> |
#<alt (* y (+ 1 (log (/ 1 y))))> |
#<alt (* y (- (+ 1 (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y)))) (/ z y)))> |
#<alt (* y (- (+ 1 (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y)))) (/ z y)))> |
#<alt (* y (- (+ 1 (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y)))) (/ z y)))> |
#<alt (* -1 (* y (- (+ (log -1) (* -1 (log (/ -1 y)))) 1)))> |
#<alt (* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) z) y)))) 1)))> |
#<alt (* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) z) y)))) 1)))> |
#<alt (* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) z) y)))) 1)))> |
#<alt (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z)> |
#<alt (- (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z)> |
#<alt (- (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z)> |
#<alt (- (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z)> |
#<alt x> |
#<alt (* x (- (+ 1 (+ (* -1 (/ (* (log y) (+ 1/2 y)) x)) (/ y x))) (/ z x)))> |
#<alt (* x (- (+ 1 (+ (* -1 (/ (* (log y) (+ 1/2 y)) x)) (/ y x))) (/ z x)))> |
#<alt (* x (- (+ 1 (+ (* -1 (/ (* (log y) (+ 1/2 y)) x)) (/ y x))) (/ z x)))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) x)) 1)))> |
#<alt (+ x (+ y (* -1 (* (log y) (+ 1/2 y)))))> |
#<alt (+ x (+ y (+ (* -1 z) (* -1 (* (log y) (+ 1/2 y))))))> |
#<alt (+ x (+ y (+ (* -1 z) (* -1 (* (log y) (+ 1/2 y))))))> |
#<alt (+ x (+ y (+ (* -1 z) (* -1 (* (log y) (+ 1/2 y))))))> |
#<alt (* -1 z)> |
#<alt (* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z))) 1))> |
#<alt (* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z))) 1))> |
#<alt (* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z))) 1))> |
#<alt (* -1 z)> |
#<alt (* -1 (* z (+ 1 (* -1 (/ (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z)))))> |
#<alt (* -1 (* z (+ 1 (* -1 (/ (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z)))))> |
#<alt (* -1 (* z (+ 1 (* -1 (/ (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z)))))> |
#<alt (* -1/2 (log y))> |
#<alt (+ (* -1 (* y (log y))) (* -1/2 (log y)))> |
#<alt (+ (* -1 (* y (log y))) (* -1/2 (log y)))> |
#<alt (+ (* -1 (* y (log y))) (* -1/2 (log y)))> |
#<alt (* y (log (/ 1 y)))> |
#<alt (* y (+ (log (/ 1 y)) (* 1/2 (/ (log (/ 1 y)) y))))> |
#<alt (* y (+ (log (/ 1 y)) (* 1/2 (/ (log (/ 1 y)) y))))> |
#<alt (* y (+ (log (/ 1 y)) (* 1/2 (/ (log (/ 1 y)) y))))> |
#<alt (* -1 (* y (+ (log -1) (* -1 (log (/ -1 y))))))> |
#<alt (* -1 (* y (+ (log -1) (+ (* -1 (log (/ -1 y))) (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y))))))> |
#<alt (* -1 (* y (+ (log -1) (+ (* -1 (log (/ -1 y))) (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y))))))> |
#<alt (* -1 (* y (+ (log -1) (+ (* -1 (log (/ -1 y))) (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y))))))> |
#<alt (/ 2 (log y))> |
#<alt (+ (* -4 (/ y (log y))) (* 2 (/ 1 (log y))))> |
#<alt (+ (* y (- (* 8 (/ y (log y))) (* 4 (/ 1 (log y))))) (* 2 (/ 1 (log y))))> |
#<alt (+ (* y (- (* y (+ (* -16 (/ y (log y))) (* 8 (/ 1 (log y))))) (* 4 (/ 1 (log y))))) (* 2 (/ 1 (log y))))> |
#<alt (/ -1 (* y (log (/ 1 y))))> |
#<alt (/ (- (* 1/2 (/ 1 (* y (log (/ 1 y))))) (/ 1 (log (/ 1 y)))) y)> |
#<alt (/ (- (/ 1/2 (* y (log (/ 1 y)))) (+ (/ 1/4 (* (pow y 2) (log (/ 1 y)))) (/ 1 (log (/ 1 y))))) y)> |
#<alt (/ (- (+ (/ 1/2 (* y (log (/ 1 y)))) (* 1/8 (/ 1 (* (pow y 3) (log (/ 1 y)))))) (+ (/ 1 (log (/ 1 y))) (* 1/4 (/ 1 (* (pow y 2) (log (/ 1 y))))))) y)> |
#<alt (/ 1 (* y (+ (log -1) (* -1 (log (/ -1 y))))))> |
#<alt (* -1 (/ (- (* 1/2 (/ 1 (* y (+ (log -1) (* -1 (log (/ -1 y))))))) (/ 1 (+ (log -1) (* -1 (log (/ -1 y)))))) y))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 (* y (+ (log -1) (* -1 (log (/ -1 y))))))) (* 1/2 (/ 1 (+ (log -1) (* -1 (log (/ -1 y))))))) y)) (/ 1 (+ (log -1) (* -1 (log (/ -1 y)))))) y))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 (* y (+ (log -1) (* -1 (log (/ -1 y))))))) (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ -1 y))))))) y)) (* 1/2 (/ 1 (+ (log -1) (* -1 (log (/ -1 y))))))) y)) (/ 1 (+ (log -1) (* -1 (log (/ -1 y)))))) y))> |
#<alt 1/2> |
#<alt (+ 1/2 y)> |
#<alt (+ 1/2 y)> |
#<alt (+ 1/2 y)> |
#<alt y> |
#<alt (* y (+ 1 (* 1/2 (/ 1 y))))> |
#<alt (* y (+ 1 (* 1/2 (/ 1 y))))> |
#<alt (* y (+ 1 (* 1/2 (/ 1 y))))> |
#<alt y> |
#<alt (* y (+ 1 (* 1/2 (/ 1 y))))> |
#<alt (* y (+ 1 (* 1/2 (/ 1 y))))> |
#<alt (* y (+ 1 (* 1/2 (/ 1 y))))> |
96 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | -inf | (/ 1 (+ (* (log y) (- -1/2 y)) (+ x (- y z)))) |
| 1.0ms | y | @ | inf | (/ 1 (+ (* (log y) (- -1/2 y)) (+ x (- y z)))) |
| 1.0ms | x | @ | 0 | (/ 1 (+ (* (log y) (- -1/2 y)) (+ x (- y z)))) |
| 1.0ms | y | @ | 0 | (/ 1 (+ (* (log y) (- -1/2 y)) (+ x (- y z)))) |
| 1.0ms | x | @ | inf | (/ 1 (+ (* (log y) (- -1/2 y)) (+ x (- y z)))) |
| 1× | batch-egg-rewrite |
| 7 958× | accelerator-lowering-fma.f32 |
| 7 958× | accelerator-lowering-fma.f64 |
| 4 312× | /-lowering-/.f32 |
| 4 312× | /-lowering-/.f64 |
| 3 824× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 161 |
| 1 | 249 | 129 |
| 2 | 2474 | 128 |
| 0 | 9441 | 121 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1 (/ (/ 1 (+ y 1/2)) (log y))) |
(- (- x (- (/ 1 (/ (/ 1 (+ y 1/2)) (log y))) y)) z) |
(- x (- (/ 1 (/ (/ 1 (+ y 1/2)) (log y))) y)) |
(- (/ 1 (/ (/ 1 (+ y 1/2)) (log y))) y) |
(- 0 z) |
(* z (+ -1 (/ x z))) |
(+ -1 (/ x z)) |
(/ x z) |
(- (+ y x) (* (log y) (+ y 1/2))) |
(+ y x) |
(* (log y) (+ y 1/2)) |
(log y) |
(/ 1 (/ 1 (+ (* (log y) (- -1/2 y)) (+ x (- y z))))) |
(/ 1 (+ (* (log y) (- -1/2 y)) (+ x (- y z)))) |
(+ (* (log y) (- -1/2 y)) (+ x (- y z))) |
(* (log y) (- -1/2 y)) |
(/ (/ 1 (+ y 1/2)) (log y)) |
(+ y 1/2) |
| Outputs |
|---|
(+.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 (log.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)))) |
(-.f64 (/.f64 (/.f64 (*.f64 y y) (+.f64 y #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 y))) (/.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 y #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 y)))) |
(-.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 binary64) (-.f64 #s(literal -1/2 binary64) y)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 y (log.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 y (log.f64 y)) (*.f64 #s(literal 1/2 binary64) (log.f64 y)))) (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 y (log.f64 y)) (*.f64 #s(literal 1/2 binary64) (log.f64 y))))) |
(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 #s(literal 1/2 binary64) (log.f64 y))) |
(fma.f64 (log.f64 y) #s(literal 1/2 binary64) (*.f64 y (log.f64 y))) |
(neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/2 binary64) y)) (log.f64 y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 y)) (+.f64 y #s(literal 1/2 binary64)))) |
(/.f64 (+.f64 y #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 y))) |
(/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64)))) |
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/2 binary64) y)) (log.f64 y))) |
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| 1× | egg-herbie |
| 6 056× | accelerator-lowering-fma.f32 |
| 6 056× | accelerator-lowering-fma.f64 |
| 4 366× | *-lowering-*.f32 |
| 4 366× | *-lowering-*.f64 |
| 3 054× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 525 | 5676 |
| 1 | 1700 | 5315 |
| 2 | 5557 | 5179 |
| 0 | 8354 | 4915 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
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(/ (- (+ 1 (/ z x)) (+ (* -1 (/ (* (log y) (+ 1/2 y)) x)) (/ y x))) x) |
(/ (- (+ 1 (+ (* -1 (/ (* (- z (+ y (* -1 (* (log y) (+ 1/2 y))))) (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z)) (pow x 2))) (/ z x))) (+ (* -1 (/ (* (log y) (+ 1/2 y)) x)) (/ y x))) x) |
(/ (- (+ 1 (+ (/ z x) (/ (* (- z (+ y (* -1 (* (log y) (+ 1/2 y))))) (pow (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) 2)) (pow x 3)))) (+ (* -1 (/ (* (log y) (+ 1/2 y)) x)) (+ (/ y x) (/ (* (- z (+ y (* -1 (* (log y) (+ 1/2 y))))) (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z)) (pow x 2))))) x) |
(/ 1 x) |
(* -1 (/ (- (* -1 (/ (- z (+ y (* -1 (* (log y) (+ 1/2 y))))) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (+ z (* -1 (/ (* (- z (+ y (* -1 (* (log y) (+ 1/2 y))))) (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z)) x))) (+ y (* -1 (* (log y) (+ 1/2 y))))) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (+ z (* -1 (/ (- (* -1 (/ (* (- z (+ y (* -1 (* (log y) (+ 1/2 y))))) (pow (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) 2)) x)) (* -1 (* (- z (+ y (* -1 (* (log y) (+ 1/2 y))))) (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z)))) x))) (+ y (* -1 (* (log y) (+ 1/2 y))))) x)) 1) x)) |
(/ 1 (+ x (+ y (* -1 (* (log y) (+ 1/2 y)))))) |
(+ (/ 1 (+ x (+ y (* -1 (* (log y) (+ 1/2 y)))))) (/ z (pow (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) 2))) |
(+ (* z (+ (/ 1 (pow (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) 2)) (/ z (pow (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) 3)))) (/ 1 (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))))) |
(+ (* z (+ (* z (+ (/ 1 (pow (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) 3)) (/ z (pow (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) 4)))) (/ 1 (pow (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) 2)))) (/ 1 (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))))) |
(/ -1 z) |
(/ (- (* -1 (/ (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z)) 1) z) |
(/ (- (* -1 (/ (pow (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) 2) (pow z 2))) (+ 1 (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z))))) z) |
(/ (- (* -1 (/ (pow (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) 3) (pow z 3))) (+ 1 (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (+ (/ y z) (/ (pow (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) 2) (pow z 2))))))) z) |
(/ -1 z) |
(* -1 (/ (+ 1 (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z)))) z)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) 2) z)) (+ x (+ y (* -1 (* (log y) (+ 1/2 y)))))) z))) z)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) 3) z) (* -1 (pow (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) 2))) z)) (+ x (+ y (* -1 (* (log y) (+ 1/2 y)))))) z))) z)) |
(- (+ x (* -1/2 (log y))) z) |
(- (+ x (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y)))))) z) |
(- (+ x (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y)))))) z) |
(- (+ x (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y)))))) z) |
(* y (+ 1 (log (/ 1 y)))) |
(* y (- (+ 1 (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y)))) (/ z y))) |
(* y (- (+ 1 (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y)))) (/ z y))) |
(* y (- (+ 1 (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y)))) (/ z y))) |
(* -1 (* y (- (+ (log -1) (* -1 (log (/ -1 y)))) 1))) |
(* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) z) y)))) 1))) |
(* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) z) y)))) 1))) |
(* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) z) y)))) 1))) |
(- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) |
(- (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z) |
(- (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z) |
(- (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z) |
x |
(* x (- (+ 1 (+ (* -1 (/ (* (log y) (+ 1/2 y)) x)) (/ y x))) (/ z x))) |
(* x (- (+ 1 (+ (* -1 (/ (* (log y) (+ 1/2 y)) x)) (/ y x))) (/ z x))) |
(* x (- (+ 1 (+ (* -1 (/ (* (log y) (+ 1/2 y)) x)) (/ y x))) (/ z x))) |
x |
(* -1 (* x (- (* -1 (/ (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) x)) 1))) |
(+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) |
(+ x (+ y (+ (* -1 z) (* -1 (* (log y) (+ 1/2 y)))))) |
(+ x (+ y (+ (* -1 z) (* -1 (* (log y) (+ 1/2 y)))))) |
(+ x (+ y (+ (* -1 z) (* -1 (* (log y) (+ 1/2 y)))))) |
(* -1 z) |
(* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z))) 1)) |
(* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z))) 1)) |
(* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z))) 1)) |
(* -1 z) |
(* -1 (* z (+ 1 (* -1 (/ (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z))))) |
(* -1/2 (log y)) |
(+ (* -1 (* y (log y))) (* -1/2 (log y))) |
(+ (* -1 (* y (log y))) (* -1/2 (log y))) |
(+ (* -1 (* y (log y))) (* -1/2 (log y))) |
(* y (log (/ 1 y))) |
(* y (+ (log (/ 1 y)) (* 1/2 (/ (log (/ 1 y)) y)))) |
(* y (+ (log (/ 1 y)) (* 1/2 (/ (log (/ 1 y)) y)))) |
(* y (+ (log (/ 1 y)) (* 1/2 (/ (log (/ 1 y)) y)))) |
(* -1 (* y (+ (log -1) (* -1 (log (/ -1 y)))))) |
(* -1 (* y (+ (log -1) (+ (* -1 (log (/ -1 y))) (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y)))))) |
(* -1 (* y (+ (log -1) (+ (* -1 (log (/ -1 y))) (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y)))))) |
(* -1 (* y (+ (log -1) (+ (* -1 (log (/ -1 y))) (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y)))))) |
(/ 2 (log y)) |
(+ (* -4 (/ y (log y))) (* 2 (/ 1 (log y)))) |
(+ (* y (- (* 8 (/ y (log y))) (* 4 (/ 1 (log y))))) (* 2 (/ 1 (log y)))) |
(+ (* y (- (* y (+ (* -16 (/ y (log y))) (* 8 (/ 1 (log y))))) (* 4 (/ 1 (log y))))) (* 2 (/ 1 (log y)))) |
(/ -1 (* y (log (/ 1 y)))) |
(/ (- (* 1/2 (/ 1 (* y (log (/ 1 y))))) (/ 1 (log (/ 1 y)))) y) |
(/ (- (/ 1/2 (* y (log (/ 1 y)))) (+ (/ 1/4 (* (pow y 2) (log (/ 1 y)))) (/ 1 (log (/ 1 y))))) y) |
(/ (- (+ (/ 1/2 (* y (log (/ 1 y)))) (* 1/8 (/ 1 (* (pow y 3) (log (/ 1 y)))))) (+ (/ 1 (log (/ 1 y))) (* 1/4 (/ 1 (* (pow y 2) (log (/ 1 y))))))) y) |
(/ 1 (* y (+ (log -1) (* -1 (log (/ -1 y)))))) |
(* -1 (/ (- (* 1/2 (/ 1 (* y (+ (log -1) (* -1 (log (/ -1 y))))))) (/ 1 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) |
(* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 (* y (+ (log -1) (* -1 (log (/ -1 y))))))) (* 1/2 (/ 1 (+ (log -1) (* -1 (log (/ -1 y))))))) y)) (/ 1 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 (* y (+ (log -1) (* -1 (log (/ -1 y))))))) (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ -1 y))))))) y)) (* 1/2 (/ 1 (+ (log -1) (* -1 (log (/ -1 y))))))) y)) (/ 1 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) |
1/2 |
(+ 1/2 y) |
(+ 1/2 y) |
(+ 1/2 y) |
y |
(* y (+ 1 (* 1/2 (/ 1 y)))) |
(* y (+ 1 (* 1/2 (/ 1 y)))) |
(* y (+ 1 (* 1/2 (/ 1 y)))) |
y |
(* y (+ 1 (* 1/2 (/ 1 y)))) |
(* y (+ 1 (* 1/2 (/ 1 y)))) |
(* y (+ 1 (* 1/2 (/ 1 y)))) |
| 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 (log.f64 y) (/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 y)) y))) |
(* y (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y)))) |
(*.f64 y (+.f64 (log.f64 y) (/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 y)) y))) |
(* y (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y)))) |
(*.f64 y (+.f64 (log.f64 y) (/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 y)) 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 (+.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64))) (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (/.f64 #s(literal -1/2 binary64) y))) (-.f64 #s(literal 0 binary64) y)) |
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y))))) |
(*.f64 (+.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64))) (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (/.f64 #s(literal -1/2 binary64) y))) (-.f64 #s(literal 0 binary64) y)) |
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y))))) |
(*.f64 (+.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64))) (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (/.f64 #s(literal -1/2 binary64) y))) (-.f64 #s(literal 0 binary64) y)) |
(- y (+ z (* (log y) (+ 1/2 y)))) |
(-.f64 (-.f64 y z) (*.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y))) |
(- (+ x y) (+ z (* (log y) (+ 1/2 y)))) |
(+.f64 x (-.f64 (-.f64 y z) (*.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y)))) |
(- (+ x y) (+ z (* (log y) (+ 1/2 y)))) |
(+.f64 x (-.f64 (-.f64 y z) (*.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y)))) |
(- (+ x y) (+ z (* (log y) (+ 1/2 y)))) |
(+.f64 x (-.f64 (-.f64 y z) (*.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y)))) |
x |
(* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 y z) (*.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y))) x))) |
(* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 y z) (*.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y))) x))) |
(* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 y z) (*.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y))) x))) |
x |
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1))) |
(*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 y z) (*.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y))) x)) #s(literal 1 binary64))) |
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1))) |
(*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 y z) (*.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y))) x)) #s(literal 1 binary64))) |
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1))) |
(*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 y z) (*.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y))) x)) #s(literal 1 binary64))) |
(- x (+ z (* 1/2 (log y)))) |
(+.f64 x (-.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64)) z)) |
(- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y)))) |
(+.f64 x (-.f64 (-.f64 y z) (*.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y)))) |
(- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y)))) |
(+.f64 x (-.f64 (-.f64 y z) (*.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y)))) |
(- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y)))) |
(+.f64 x (-.f64 (-.f64 y z) (*.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y)))) |
(* y (- 1 (* -1 (log (/ 1 y))))) |
(*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y))) |
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y))))) |
(*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 (-.f64 (/.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64)) y) (log.f64 y)) (/.f64 (-.f64 x z) y)))) |
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y))))) |
(*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 (-.f64 (/.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64)) y) (log.f64 y)) (/.f64 (-.f64 x z) y)))) |
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y))))) |
(*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 (-.f64 (/.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64)) y) (log.f64 y)) (/.f64 (-.f64 x z) y)))) |
(* y (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))) |
(*.f64 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 (*.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64)))) (-.f64 x z)) y) (+.f64 (-.f64 #s(literal 1 binary64) (log.f64 #s(literal -1 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) y))))) |
(* -1 (* y (- (* -1 (/ (- x (+ z (* 1/2 (+ (log -1) (* -1 (log (/ -1 y))))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))))) |
(*.f64 y (+.f64 (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64)))) (-.f64 x z)) y) (+.f64 (-.f64 #s(literal 1 binary64) (log.f64 #s(literal -1 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) y))))) |
(* -1 (* y (- (* -1 (/ (- x (+ z (* 1/2 (+ (log -1) (* -1 (log (/ -1 y))))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))))) |
(*.f64 y (+.f64 (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64)))) (-.f64 x z)) y) (+.f64 (-.f64 #s(literal 1 binary64) (log.f64 #s(literal -1 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) y))))) |
(- (+ x y) (* (log y) (+ 1/2 y))) |
(-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y))) |
(- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y))) |
(+.f64 x (-.f64 (-.f64 y z) (*.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y)))) |
(- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y))) |
(+.f64 x (-.f64 (-.f64 y z) (*.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y)))) |
(- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y))) |
(+.f64 x (-.f64 (-.f64 y z) (*.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y)))) |
(* -1 z) |
(-.f64 #s(literal 0 binary64) z) |
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z)))) |
(*.f64 z (+.f64 #s(literal -1 binary64) (+.f64 (/.f64 x z) (/.f64 (+.f64 y (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y))) z)))) |
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z)))) |
(*.f64 z (+.f64 #s(literal -1 binary64) (+.f64 (/.f64 x z) (/.f64 (+.f64 y (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y))) z)))) |
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z)))) |
(*.f64 z (+.f64 #s(literal -1 binary64) (+.f64 (/.f64 x z) (/.f64 (+.f64 y (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y))) z)))) |
(* -1 z) |
(-.f64 #s(literal 0 binary64) z) |
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y))) z)) (-.f64 #s(literal 0 binary64) z)) |
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y))) z)) (-.f64 #s(literal 0 binary64) z)) |
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y))) z)) (-.f64 #s(literal 0 binary64) z)) |
(- y (* (log y) (+ 1/2 y))) |
(+.f64 y (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y))) |
(- (+ x y) (* (log y) (+ 1/2 y))) |
(-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y))) |
(- (+ x y) (* (log y) (+ 1/2 y))) |
(-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y))) |
(- (+ x y) (* (log y) (+ 1/2 y))) |
(-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y))) |
x |
(* x (- (+ 1 (/ y x)) (/ (* (log y) (+ 1/2 y)) x))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 y (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y))) x))) |
(* x (- (+ 1 (/ y x)) (/ (* (log y) (+ 1/2 y)) x))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 y (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y))) x))) |
(* x (- (+ 1 (/ y x)) (/ (* (log y) (+ 1/2 y)) x))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 y (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y))) x))) |
x |
(* -1 (* x (- (* -1 (/ (- y (* (log y) (+ 1/2 y))) x)) 1))) |
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y)) y) x)) (-.f64 #s(literal 0 binary64) x)) |
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(*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y))) |
(* y (- (+ 1 (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y)))) (/ z y))) |
(*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 (-.f64 (/.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64)) y) (log.f64 y)) (/.f64 (-.f64 x z) y)))) |
(* y (- (+ 1 (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y)))) (/ z y))) |
(*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 (-.f64 (/.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64)) y) (log.f64 y)) (/.f64 (-.f64 x z) y)))) |
(* y (- (+ 1 (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y)))) (/ z y))) |
(*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 (-.f64 (/.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64)) y) (log.f64 y)) (/.f64 (-.f64 x z) y)))) |
(* -1 (* y (- (+ (log -1) (* -1 (log (/ -1 y)))) 1))) |
(*.f64 (+.f64 #s(literal -1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y)))) (-.f64 #s(literal 0 binary64) y)) |
(* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) z) y)))) 1))) |
(*.f64 y (+.f64 (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64)))) (-.f64 x z)) y) (+.f64 (-.f64 #s(literal 1 binary64) (log.f64 #s(literal -1 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) y))))) |
(* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) z) y)))) 1))) |
(*.f64 y (+.f64 (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64)))) (-.f64 x z)) y) (+.f64 (-.f64 #s(literal 1 binary64) (log.f64 #s(literal -1 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) y))))) |
(* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) z) y)))) 1))) |
(*.f64 y (+.f64 (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64)))) (-.f64 x z)) y) (+.f64 (-.f64 #s(literal 1 binary64) (log.f64 #s(literal -1 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) y))))) |
(- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) |
(-.f64 (-.f64 y z) (*.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y))) |
(- (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z) |
(+.f64 x (-.f64 (-.f64 y z) (*.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y)))) |
(- (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z) |
(+.f64 x (-.f64 (-.f64 y z) (*.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y)))) |
(- (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z) |
(+.f64 x (-.f64 (-.f64 y z) (*.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y)))) |
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 z) (*.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y))) 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 z) (*.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y))) 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 z) (*.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y))) x))) |
x |
(* -1 (* x (- (* -1 (/ (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) x)) 1))) |
(*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 y z) (*.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y))) x)) #s(literal 1 binary64))) |
(* -1 (* x (- (* -1 (/ (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) x)) 1))) |
(*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 y z) (*.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y))) x)) #s(literal 1 binary64))) |
(* -1 (* x (- (* -1 (/ (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) x)) 1))) |
(*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 y z) (*.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y))) x)) #s(literal 1 binary64))) |
(+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) |
(-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y))) |
(+ x (+ y (+ (* -1 z) (* -1 (* (log y) (+ 1/2 y)))))) |
(+.f64 x (-.f64 (-.f64 y z) (*.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y)))) |
(+ x (+ y (+ (* -1 z) (* -1 (* (log y) (+ 1/2 y)))))) |
(+.f64 x (-.f64 (-.f64 y z) (*.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y)))) |
(+ x (+ y (+ (* -1 z) (* -1 (* (log y) (+ 1/2 y)))))) |
(+.f64 x (-.f64 (-.f64 y z) (*.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y)))) |
(* -1 z) |
(-.f64 #s(literal 0 binary64) z) |
(* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z))) 1)) |
(*.f64 z (+.f64 #s(literal -1 binary64) (+.f64 (/.f64 x z) (/.f64 (+.f64 y (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y))) z)))) |
(* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z))) 1)) |
(*.f64 z (+.f64 #s(literal -1 binary64) (+.f64 (/.f64 x z) (/.f64 (+.f64 y (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y))) z)))) |
(* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z))) 1)) |
(*.f64 z (+.f64 #s(literal -1 binary64) (+.f64 (/.f64 x z) (/.f64 (+.f64 y (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y))) z)))) |
(* -1 z) |
(-.f64 #s(literal 0 binary64) z) |
(* -1 (* z (+ 1 (* -1 (/ (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y))) z)) (-.f64 #s(literal 0 binary64) z)) |
(* -1 (* z (+ 1 (* -1 (/ (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y))) z)) (-.f64 #s(literal 0 binary64) z)) |
(* -1 (* z (+ 1 (* -1 (/ (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y))) z)) (-.f64 #s(literal 0 binary64) z)) |
(* -1/2 (log y)) |
(*.f64 (log.f64 y) #s(literal -1/2 binary64)) |
(+ (* -1 (* y (log y))) (* -1/2 (log y))) |
(*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) |
(+ (* -1 (* y (log y))) (* -1/2 (log y))) |
(*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) |
(+ (* -1 (* y (log y))) (* -1/2 (log y))) |
(*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) |
(* y (log (/ 1 y))) |
(*.f64 y (-.f64 #s(literal 0 binary64) (log.f64 y))) |
(* y (+ (log (/ 1 y)) (* 1/2 (/ (log (/ 1 y)) y)))) |
(*.f64 y (-.f64 (/.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64)) y) (log.f64 y))) |
(* y (+ (log (/ 1 y)) (* 1/2 (/ (log (/ 1 y)) y)))) |
(*.f64 y (-.f64 (/.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64)) y) (log.f64 y))) |
(* y (+ (log (/ 1 y)) (* 1/2 (/ (log (/ 1 y)) y)))) |
(*.f64 y (-.f64 (/.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64)) y) (log.f64 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 (+ (log -1) (+ (* -1 (log (/ -1 y))) (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y)))))) |
(-.f64 #s(literal 0 binary64) (*.f64 y (+.f64 (log.f64 #s(literal -1 binary64)) (-.f64 (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (/.f64 #s(literal 1/2 binary64) y)) (log.f64 (/.f64 #s(literal -1 binary64) y)))))) |
(* -1 (* y (+ (log -1) (+ (* -1 (log (/ -1 y))) (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y)))))) |
(-.f64 #s(literal 0 binary64) (*.f64 y (+.f64 (log.f64 #s(literal -1 binary64)) (-.f64 (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (/.f64 #s(literal 1/2 binary64) y)) (log.f64 (/.f64 #s(literal -1 binary64) y)))))) |
(* -1 (* y (+ (log -1) (+ (* -1 (log (/ -1 y))) (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y)))))) |
(-.f64 #s(literal 0 binary64) (*.f64 y (+.f64 (log.f64 #s(literal -1 binary64)) (-.f64 (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (/.f64 #s(literal 1/2 binary64) y)) (log.f64 (/.f64 #s(literal -1 binary64) y)))))) |
(/ 2 (log y)) |
(/.f64 #s(literal 2 binary64) (log.f64 y)) |
(+ (* -4 (/ y (log y))) (* 2 (/ 1 (log y)))) |
(+.f64 (*.f64 #s(literal -4 binary64) (/.f64 y (log.f64 y))) (/.f64 #s(literal 2 binary64) (log.f64 y))) |
(+ (* y (- (* 8 (/ y (log y))) (* 4 (/ 1 (log y))))) (* 2 (/ 1 (log y)))) |
(+.f64 (/.f64 #s(literal 2 binary64) (log.f64 y)) (*.f64 y (+.f64 (*.f64 y (/.f64 #s(literal 8 binary64) (log.f64 y))) (/.f64 #s(literal -4 binary64) (log.f64 y))))) |
(+ (* y (- (* y (+ (* -16 (/ y (log y))) (* 8 (/ 1 (log y))))) (* 4 (/ 1 (log y))))) (* 2 (/ 1 (log y)))) |
(+.f64 (/.f64 #s(literal 2 binary64) (log.f64 y)) (*.f64 y (+.f64 (*.f64 y (+.f64 (*.f64 (/.f64 y (log.f64 y)) #s(literal -16 binary64)) (/.f64 #s(literal 8 binary64) (log.f64 y)))) (/.f64 #s(literal -4 binary64) (log.f64 y))))) |
(/ -1 (* y (log (/ 1 y)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 y)) y) |
(/ (- (* 1/2 (/ 1 (* y (log (/ 1 y))))) (/ 1 (log (/ 1 y)))) y) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (log.f64 y)) (/.f64 (/.f64 #s(literal 1/2 binary64) y) (log.f64 y))) y) |
(/ (- (/ 1/2 (* y (log (/ 1 y)))) (+ (/ 1/4 (* (pow y 2) (log (/ 1 y)))) (/ 1 (log (/ 1 y))))) y) |
(/.f64 (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (log.f64 y)) (/.f64 (/.f64 #s(literal 1/2 binary64) y) (log.f64 y))) (/.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 y y)) (log.f64 y))) y) |
(/ (- (+ (/ 1/2 (* y (log (/ 1 y)))) (* 1/8 (/ 1 (* (pow y 3) (log (/ 1 y)))))) (+ (/ 1 (log (/ 1 y))) (* 1/4 (/ 1 (* (pow y 2) (log (/ 1 y))))))) y) |
(/.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y (*.f64 y (*.f64 y (-.f64 #s(literal 0 binary64) (log.f64 y)))))) (/.f64 (/.f64 #s(literal 1/2 binary64) y) (log.f64 y))) (+.f64 (/.f64 #s(literal 1 binary64) (log.f64 y)) (/.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 y y)) (log.f64 y)))) y) |
(/ 1 (* y (+ (log -1) (* -1 (log (/ -1 y)))))) |
(/.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y)))) |
(* -1 (/ (- (* 1/2 (/ 1 (* y (+ (log -1) (* -1 (log (/ -1 y))))))) (/ 1 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) |
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y)))) (/.f64 #s(literal -1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))))) (-.f64 #s(literal 0 binary64) y)) |
(* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 (* y (+ (log -1) (* -1 (log (/ -1 y))))))) (* 1/2 (/ 1 (+ (log -1) (* -1 (log (/ -1 y))))))) y)) (/ 1 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) |
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) y) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y)))) (/.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64))))) y) (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))))) y) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 (* y (+ (log -1) (* -1 (log (/ -1 y))))))) (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ -1 y))))))) y)) (* 1/2 (/ 1 (+ (log -1) (* -1 (log (/ -1 y))))))) y)) (/ 1 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) |
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64)))) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) y) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y)))) (/.f64 #s(literal 1/4 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64))))) y)) y) (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))))) y) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 y) |
(+.f64 #s(literal 1/2 binary64) y) |
(+ 1/2 y) |
(+.f64 #s(literal 1/2 binary64) y) |
(+ 1/2 y) |
(+.f64 #s(literal 1/2 binary64) y) |
y |
(* y (+ 1 (* 1/2 (/ 1 y)))) |
(+.f64 #s(literal 1/2 binary64) y) |
(* y (+ 1 (* 1/2 (/ 1 y)))) |
(+.f64 #s(literal 1/2 binary64) y) |
(* y (+ 1 (* 1/2 (/ 1 y)))) |
(+.f64 #s(literal 1/2 binary64) y) |
y |
(* y (+ 1 (* 1/2 (/ 1 y)))) |
(+.f64 #s(literal 1/2 binary64) y) |
(* y (+ 1 (* 1/2 (/ 1 y)))) |
(+.f64 #s(literal 1/2 binary64) y) |
(* y (+ 1 (* 1/2 (/ 1 y)))) |
(+.f64 #s(literal 1/2 binary64) y) |
Compiled 41 954 to 3 684 computations (91.2% saved)
38 alts after pruning (35 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 585 | 25 | 1 610 |
| Fresh | 3 | 10 | 13 |
| Picked | 4 | 1 | 5 |
| Done | 1 | 2 | 3 |
| Total | 1 593 | 38 | 1 631 |
| Status | Accuracy | Program |
|---|---|---|
| 22.4% | (/.f64 (-.f64 (*.f64 z z) (*.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64)))) (-.f64 (-.f64 #s(literal 0 binary64) z) (*.f64 x #s(literal 1 binary64)))) | |
| 8.7% | (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z))) (*.f64 z z)) | |
| 13.5% | (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) z) | |
| 14.5% | (/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1 binary64))) (+.f64 (*.f64 z z) (-.f64 (*.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) z) (*.f64 x #s(literal 1 binary64)))))) | |
| 28.3% | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log.f64 y) #s(literal 2 binary64))) y) (+.f64 (log.f64 y) #s(literal 1 binary64))) | |
| ▶ | 38.6% | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 x z) (/.f64 z x))) z) (-.f64 #s(literal -1 binary64) (/.f64 x z))) |
| 28.6% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (log.f64 y))) y)) | |
| 8.7% | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z z) (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z))))) | |
| 13.4% | (/.f64 #s(literal 1 binary64) (/.f64 z (-.f64 #s(literal 0 binary64) (*.f64 z z)))) | |
| 28.3% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) | |
| 32.0% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z)) | |
| 85.8% | (-.f64 (-.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) (log.f64 y))) y)) z) | |
| 72.4% | (-.f64 (-.f64 x (*.f64 (log.f64 y) #s(literal 1/2 binary64))) z) | |
| 85.9% | (-.f64 (-.f64 x (*.f64 y (+.f64 (log.f64 y) #s(literal -1 binary64)))) z) | |
| ▶ | 87.1% | (-.f64 (+.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (log.f64 y) (/.f64 (+.f64 y #s(literal 1/2 binary64)) x)))) y) z) |
| 68.7% | (-.f64 (+.f64 y x) (/.f64 (+.f64 y #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 y)))) | |
| 68.7% | (-.f64 (+.f64 y x) (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64))))) | |
| ✓ | 68.8% | (-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))) |
| ▶ | 55.5% | (-.f64 (+.f64 y x) (*.f64 (log.f64 y) y)) |
| 57.7% | (-.f64 (+.f64 x y) z) | |
| 58.7% | (-.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y))) z) | |
| 41.0% | (-.f64 y (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))) | |
| 49.8% | (-.f64 x (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))) | |
| 58.3% | (-.f64 x z) | |
| 42.0% | (+.f64 x (*.f64 (log.f64 y) #s(literal -1/2 binary64))) | |
| 13.4% | (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) z)) | |
| 19.5% | (*.f64 z (/.f64 x z)) | |
| 49.4% | (*.f64 z (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) x) #s(literal -1 binary64))) | |
| ▶ | 49.4% | (*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 z x)))) |
| 63.5% | (*.f64 z (+.f64 #s(literal -1 binary64) (+.f64 (/.f64 x z) (/.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64)) z)))) | |
| 21.3% | (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z)))) (*.f64 z z)))) | |
| 45.3% | (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 z z))) z))) | |
| 38.6% | (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 x (/.f64 #s(literal 1 binary64) z))))) | |
| 18.8% | (*.f64 z (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) (/.f64 y z))) | |
| ✓ | 28.7% | (*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y))) |
| 49.1% | (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z x))) | |
| ▶ | 32.2% | (neg.f64 z) |
| ✓ | 28.4% | x |
Compiled 988 to 661 computations (33.1% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (log.f64 y) |
| ✓ | cost-diff | 0 | (*.f64 (log.f64 y) y) |
| ✓ | cost-diff | 0 | (+.f64 y x) |
| ✓ | cost-diff | 0 | (-.f64 (+.f64 y x) (*.f64 (log.f64 y) y)) |
| ✓ | cost-diff | 0 | (/.f64 (/.f64 x z) (/.f64 z x)) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 x z) (/.f64 z x))) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 x z) (/.f64 z x))) z) (-.f64 #s(literal -1 binary64) (/.f64 x z))) |
| ✓ | cost-diff | 256 | (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 x z) (/.f64 z x))) z) |
| ✓ | cost-diff | 0 | (/.f64 z x) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 z x))) |
| ✓ | cost-diff | 128 | (/.f64 #s(literal 1 binary64) (/.f64 z x)) |
| ✓ | cost-diff | 256 | (*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 z x)))) |
| ✓ | cost-diff | -64 | (neg.f64 z) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 1 binary64) (*.f64 (log.f64 y) (/.f64 (+.f64 y #s(literal 1/2 binary64)) x))) |
| ✓ | cost-diff | 0 | (+.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (log.f64 y) (/.f64 (+.f64 y #s(literal 1/2 binary64)) x)))) y) |
| ✓ | cost-diff | 0 | (-.f64 (+.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (log.f64 y) (/.f64 (+.f64 y #s(literal 1/2 binary64)) x)))) y) z) |
| ✓ | cost-diff | 256 | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (log.f64 y) (/.f64 (+.f64 y #s(literal 1/2 binary64)) x)))) |
| 8 956× | accelerator-lowering-fma.f32 |
| 8 956× | accelerator-lowering-fma.f64 |
| 4 754× | *-lowering-*.f32 |
| 4 754× | *-lowering-*.f64 |
| 1 888× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 186 |
| 1 | 74 | 186 |
| 2 | 178 | 168 |
| 3 | 458 | 166 |
| 4 | 1877 | 154 |
| 5 | 5643 | 154 |
| 0 | 8362 | 149 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (+ (* x (- 1 (* (log y) (/ (+ y 1/2) x)))) y) z) |
(+ (* x (- 1 (* (log y) (/ (+ y 1/2) x)))) y) |
(* x (- 1 (* (log y) (/ (+ y 1/2) x)))) |
x |
(- 1 (* (log y) (/ (+ y 1/2) x))) |
1 |
(* (log y) (/ (+ y 1/2) x)) |
(log y) |
y |
(/ (+ y 1/2) x) |
(+ y 1/2) |
1/2 |
z |
(neg z) |
z |
(* z (+ -1 (/ 1 (/ z x)))) |
z |
(+ -1 (/ 1 (/ z x))) |
-1 |
(/ 1 (/ z x)) |
1 |
(/ z x) |
x |
(/ (* (- 1 (/ (/ x z) (/ z x))) z) (- -1 (/ x z))) |
(* (- 1 (/ (/ x z) (/ z x))) z) |
(- 1 (/ (/ x z) (/ z x))) |
1 |
(/ (/ x z) (/ z x)) |
(/ x z) |
x |
z |
(/ z x) |
(- -1 (/ x z)) |
-1 |
(- (+ y x) (* (log y) y)) |
(+ y x) |
y |
x |
(* (log y) y) |
(log y) |
| Outputs |
|---|
(- (+ (* x (- 1 (* (log y) (/ (+ y 1/2) x)))) y) z) |
(+.f64 x (+.f64 (-.f64 y z) (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)))) |
(+ (* x (- 1 (* (log y) (/ (+ y 1/2) x)))) y) |
(+.f64 (+.f64 x y) (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y))) |
(* x (- 1 (* (log y) (/ (+ y 1/2) x)))) |
(+.f64 x (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y))) |
x |
(- 1 (* (log y) (/ (+ y 1/2) x))) |
(+.f64 #s(literal 1 binary64) (*.f64 (log.f64 y) (/.f64 (-.f64 #s(literal -1/2 binary64) y) x))) |
1 |
#s(literal 1 binary64) |
(* (log y) (/ (+ y 1/2) x)) |
(*.f64 (log.f64 y) (/.f64 (+.f64 y #s(literal 1/2 binary64)) x)) |
(log y) |
(log.f64 y) |
y |
(/ (+ y 1/2) x) |
(/.f64 (+.f64 y #s(literal 1/2 binary64)) x) |
(+ y 1/2) |
(+.f64 y #s(literal 1/2 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
z |
(neg z) |
(-.f64 #s(literal 0 binary64) z) |
z |
(* z (+ -1 (/ 1 (/ z x)))) |
(-.f64 x z) |
z |
(+ -1 (/ 1 (/ z x))) |
(+.f64 #s(literal -1 binary64) (/.f64 x z)) |
-1 |
#s(literal -1 binary64) |
(/ 1 (/ z x)) |
(/.f64 x z) |
1 |
#s(literal 1 binary64) |
(/ z x) |
(/.f64 z x) |
x |
(/ (* (- 1 (/ (/ x z) (/ z x))) z) (- -1 (/ x z))) |
(/.f64 (-.f64 z (/.f64 x (/.f64 z x))) (-.f64 #s(literal -1 binary64) (/.f64 x z))) |
(* (- 1 (/ (/ x z) (/ z x))) z) |
(-.f64 z (/.f64 x (/.f64 z x))) |
(- 1 (/ (/ x z) (/ z x))) |
(-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 z (/.f64 x z)))) |
1 |
#s(literal 1 binary64) |
(/ (/ x z) (/ z x)) |
(/.f64 x (/.f64 z (/.f64 x z))) |
(/ x z) |
(/.f64 x z) |
x |
z |
(/ z x) |
(/.f64 z x) |
(- -1 (/ x z)) |
(-.f64 #s(literal -1 binary64) (/.f64 x z)) |
-1 |
#s(literal -1 binary64) |
(- (+ y x) (* (log y) y)) |
(+.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y)))) |
(+ y x) |
(+.f64 x y) |
y |
x |
(* (log y) y) |
(*.f64 y (log.f64 y)) |
(log y) |
(log.f64 y) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (+.f64 y x) |
| ✓ | accuracy | 100.0% | (log.f64 y) |
| ✓ | accuracy | 99.8% | (-.f64 (+.f64 y x) (*.f64 (log.f64 y) y)) |
| ✓ | accuracy | 99.6% | (*.f64 (log.f64 y) y) |
| ✓ | accuracy | 100.0% | (-.f64 #s(literal -1 binary64) (/.f64 x z)) |
| ✓ | accuracy | 99.8% | (/.f64 (/.f64 x z) (/.f64 z x)) |
| ✓ | accuracy | 94.4% | (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 x z) (/.f64 z x))) z) |
| ✓ | accuracy | 77.6% | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 x z) (/.f64 z x))) z) (-.f64 #s(literal -1 binary64) (/.f64 x z))) |
| ✓ | accuracy | 100.0% | (/.f64 z x) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 z x))) |
| ✓ | accuracy | 99.5% | (/.f64 #s(literal 1 binary64) (/.f64 z x)) |
| ✓ | accuracy | 89.6% | (*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 z x)))) |
| ✓ | accuracy | 100.0% | (neg.f64 z) |
| ✓ | accuracy | 100.0% | (/.f64 (+.f64 y #s(literal 1/2 binary64)) x) |
| ✓ | accuracy | 99.9% | (+.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (log.f64 y) (/.f64 (+.f64 y #s(literal 1/2 binary64)) x)))) y) |
| ✓ | accuracy | 99.6% | (*.f64 (log.f64 y) (/.f64 (+.f64 y #s(literal 1/2 binary64)) x)) |
| ✓ | accuracy | 87.1% | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (log.f64 y) (/.f64 (+.f64 y #s(literal 1/2 binary64)) x)))) |
| 57.0ms | 256× | 0 | valid |
Compiled 186 to 30 computations (83.9% saved)
ival-div: 10.0ms (31.2% of total)ival-mult: 7.0ms (21.8% of total)ival-add: 5.0ms (15.6% of total)ival-sub: 5.0ms (15.6% of total)ival-log: 4.0ms (12.5% of total)ival-neg: 1.0ms (3.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt (* x (- 1 (* (log y) (/ (+ y 1/2) x))))> |
#<alt (- (+ (* x (- 1 (* (log y) (/ (+ y 1/2) x)))) y) z)> |
#<alt (+ (* x (- 1 (* (log y) (/ (+ y 1/2) x)))) y)> |
#<alt (- 1 (* (log y) (/ (+ y 1/2) x)))> |
#<alt (neg z)> |
#<alt (* z (+ -1 (/ 1 (/ z x))))> |
#<alt (/ 1 (/ z x))> |
#<alt (+ -1 (/ 1 (/ z x)))> |
#<alt (/ z x)> |
#<alt (* (- 1 (/ (/ x z) (/ z x))) z)> |
#<alt (/ (* (- 1 (/ (/ x z) (/ z x))) z) (- -1 (/ x z)))> |
#<alt (- 1 (/ (/ x z) (/ z x)))> |
#<alt (/ (/ x z) (/ z x))> |
#<alt (- (+ y x) (* (log y) y))> |
#<alt (+ y x)> |
#<alt (* (log y) y)> |
#<alt (log y)> |
#<alt (* (log y) (/ (+ y 1/2) x))> |
#<alt (/ (+ y 1/2) x)> |
#<alt (- -1 (/ x z))> |
| Outputs |
|---|
#<alt (* -1 (* (log y) (+ 1/2 y)))> |
#<alt (+ x (* -1 (* (log y) (+ 1/2 y))))> |
#<alt (+ x (* -1 (* (log y) (+ 1/2 y))))> |
#<alt (+ x (* -1 (* (log y) (+ 1/2 y))))> |
#<alt x> |
#<alt (* x (+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x))))> |
#<alt (* x (+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x))))> |
#<alt (* x (+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x))))> |
#<alt x> |
#<alt (* -1 (* x (- (/ (* (log y) (+ 1/2 y)) x) 1)))> |
#<alt (* -1 (* x (- (/ (* (log y) (+ 1/2 y)) x) 1)))> |
#<alt (* -1 (* x (- (/ (* (log y) (+ 1/2 y)) x) 1)))> |
#<alt (* x (- 1 (* 1/2 (/ (log y) x))))> |
#<alt (+ (* -1 (* y (log y))) (* x (- 1 (* 1/2 (/ (log y) x)))))> |
#<alt (+ (* -1 (* y (log y))) (* x (- 1 (* 1/2 (/ (log y) x)))))> |
#<alt (+ (* -1 (* y (log y))) (* x (- 1 (* 1/2 (/ (log y) x)))))> |
#<alt (* y (log (/ 1 y)))> |
#<alt (* y (+ (log (/ 1 y)) (/ (* x (- 1 (* -1/2 (/ (log (/ 1 y)) x)))) y)))> |
#<alt (* y (+ (log (/ 1 y)) (/ (* x (- 1 (* -1/2 (/ (log (/ 1 y)) x)))) y)))> |
#<alt (* y (+ (log (/ 1 y)) (/ (* x (- 1 (* -1/2 (/ (log (/ 1 y)) x)))) y)))> |
#<alt (* -1 (* y (+ (log -1) (* -1 (log (/ -1 y))))))> |
#<alt (* -1 (* y (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (* x (- 1 (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x)))) y))))))> |
#<alt (* -1 (* y (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (* x (- 1 (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x)))) y))))))> |
#<alt (* -1 (* y (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (* x (- 1 (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x)))) y))))))> |
#<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 (/ 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 (* -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 (* 1/2 (/ (log y) x)))) z)> |
#<alt (- (+ (* x (- 1 (* 1/2 (/ (log y) x)))) (* y (+ 1 (* -1 (log y))))) z)> |
#<alt (- (+ (* x (- 1 (* 1/2 (/ (log y) x)))) (* y (+ 1 (* -1 (log y))))) z)> |
#<alt (- (+ (* x (- 1 (* 1/2 (/ (log y) x)))) (* y (+ 1 (* -1 (log y))))) z)> |
#<alt (* y (+ 1 (log (/ 1 y))))> |
#<alt (* y (- (+ 1 (+ (log (/ 1 y)) (/ (* x (- 1 (* -1/2 (/ (log (/ 1 y)) x)))) y))) (/ z y)))> |
#<alt (* y (- (+ 1 (+ (log (/ 1 y)) (/ (* x (- 1 (* -1/2 (/ (log (/ 1 y)) x)))) y))) (/ z y)))> |
#<alt (* y (- (+ 1 (+ (log (/ 1 y)) (/ (* x (- 1 (* -1/2 (/ (log (/ 1 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 (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x)))) z) y)))) 1)))> |
#<alt (* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* x (- 1 (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x)))) z) y)))) 1)))> |
#<alt (* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* x (- 1 (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x)))) z) y)))) 1)))> |
#<alt (+ y (* x (- 1 (/ (* (log y) (+ 1/2 y)) x))))> |
#<alt (+ y (+ (* -1 z) (* x (- 1 (/ (* (log y) (+ 1/2 y)) x)))))> |
#<alt (+ y (+ (* -1 z) (* x (- 1 (/ (* (log y) (+ 1/2 y)) x)))))> |
#<alt (+ y (+ (* -1 z) (* x (- 1 (/ (* (log y) (+ 1/2 y)) x)))))> |
#<alt (* -1 z)> |
#<alt (* z (- (+ (/ y z) (/ (* x (- 1 (/ (* (log y) (+ 1/2 y)) x))) z)) 1))> |
#<alt (* z (- (+ (/ y z) (/ (* x (- 1 (/ (* (log y) (+ 1/2 y)) x))) z)) 1))> |
#<alt (* z (- (+ (/ y z) (/ (* x (- 1 (/ (* (log y) (+ 1/2 y)) x))) z)) 1))> |
#<alt (* -1 z)> |
#<alt (* -1 (* z (+ 1 (* -1 (/ (+ y (* x (- 1 (/ (* (log y) (+ 1/2 y)) x)))) z)))))> |
#<alt (* -1 (* z (+ 1 (* -1 (/ (+ y (* x (- 1 (/ (* (log y) (+ 1/2 y)) x)))) z)))))> |
#<alt (* -1 (* z (+ 1 (* -1 (/ (+ y (* x (- 1 (/ (* (log y) (+ 1/2 y)) x)))) 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 (/ 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 (* -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 (* 1/2 (/ (log y) x))))> |
#<alt (+ (* x (- 1 (* 1/2 (/ (log y) x)))) (* y (+ 1 (* -1 (log y)))))> |
#<alt (+ (* x (- 1 (* 1/2 (/ (log y) x)))) (* y (+ 1 (* -1 (log y)))))> |
#<alt (+ (* x (- 1 (* 1/2 (/ (log y) x)))) (* y (+ 1 (* -1 (log y)))))> |
#<alt (* y (+ 1 (log (/ 1 y))))> |
#<alt (* y (+ 1 (+ (log (/ 1 y)) (/ (* x (- 1 (* -1/2 (/ (log (/ 1 y)) x)))) y))))> |
#<alt (* y (+ 1 (+ (log (/ 1 y)) (/ (* x (- 1 (* -1/2 (/ (log (/ 1 y)) x)))) y))))> |
#<alt (* y (+ 1 (+ (log (/ 1 y)) (/ (* x (- 1 (* -1/2 (/ (log (/ 1 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 (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x)))) y)))) 1)))> |
#<alt (* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (* x (- 1 (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x)))) y)))) 1)))> |
#<alt (* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (* x (- 1 (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x)))) y)))) 1)))> |
#<alt (- 1 (* 1/2 (/ (log y) x)))> |
#<alt (- (+ 1 (* -1 (/ (* y (log y)) x))) (* 1/2 (/ (log y) x)))> |
#<alt (- (+ 1 (* -1 (/ (* y (log y)) x))) (* 1/2 (/ (log y) x)))> |
#<alt (- (+ 1 (* -1 (/ (* y (log y)) x))) (* 1/2 (/ (log y) x)))> |
#<alt (/ (* y (log (/ 1 y))) x)> |
#<alt (* y (- (/ 1 y) (+ (* -1 (/ (log (/ 1 y)) x)) (* -1/2 (/ (log (/ 1 y)) (* x y))))))> |
#<alt (* y (- (/ 1 y) (+ (* -1 (/ (log (/ 1 y)) x)) (* -1/2 (/ (log (/ 1 y)) (* x y))))))> |
#<alt (* y (- (/ 1 y) (+ (* -1 (/ (log (/ 1 y)) x)) (* -1/2 (/ (log (/ 1 y)) (* x y))))))> |
#<alt (* -1 (/ (* y (+ (log -1) (* -1 (log (/ -1 y))))) x))> |
#<alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x))) y)) (* -1 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x)))))> |
#<alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x))) y)) (* -1 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x)))))> |
#<alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x))) y)) (* -1 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x)))))> |
#<alt (* -1 (/ (* (log y) (+ 1/2 y)) x))> |
#<alt (/ (- x (* (log y) (+ 1/2 y))) x)> |
#<alt (/ (- x (* (log y) (+ 1/2 y))) x)> |
#<alt (/ (- x (* (log y) (+ 1/2 y))) x)> |
#<alt 1> |
#<alt (+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x)))> |
#<alt (+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x)))> |
#<alt (+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x)))> |
#<alt 1> |
#<alt (+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x)))> |
#<alt (+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x)))> |
#<alt (+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x)))> |
#<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 x> |
#<alt (+ x (* -1 z))> |
#<alt (+ x (* -1 z))> |
#<alt (+ x (* -1 z))> |
#<alt (* -1 z)> |
#<alt (* z (- (/ x z) 1))> |
#<alt (* z (- (/ x z) 1))> |
#<alt (* z (- (/ x z) 1))> |
#<alt (* -1 z)> |
#<alt (* -1 (* z (+ 1 (* -1 (/ x z)))))> |
#<alt (* -1 (* z (+ 1 (* -1 (/ x z)))))> |
#<alt (* -1 (* z (+ 1 (* -1 (/ x z)))))> |
#<alt (* -1 z)> |
#<alt (+ x (* -1 z))> |
#<alt (+ x (* -1 z))> |
#<alt (+ x (* -1 z))> |
#<alt x> |
#<alt (* x (+ 1 (* -1 (/ z x))))> |
#<alt (* x (+ 1 (* -1 (/ z x))))> |
#<alt (* x (+ 1 (* -1 (/ z x))))> |
#<alt x> |
#<alt (* -1 (* x (- (/ z x) 1)))> |
#<alt (* -1 (* x (- (/ z x) 1)))> |
#<alt (* -1 (* x (- (/ z x) 1)))> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ (+ x (* -1 z)) z)> |
#<alt (/ (+ x (* -1 z)) z)> |
#<alt (/ (+ x (* -1 z)) z)> |
#<alt -1> |
#<alt (- (/ x z) 1)> |
#<alt (- (/ x z) 1)> |
#<alt (- (/ x z) 1)> |
#<alt -1> |
#<alt (- (/ x z) 1)> |
#<alt (- (/ x z) 1)> |
#<alt (- (/ x z) 1)> |
#<alt -1> |
#<alt (- (/ x z) 1)> |
#<alt (- (/ x z) 1)> |
#<alt (- (/ x z) 1)> |
#<alt (/ x z)> |
#<alt (* x (- (/ 1 z) (/ 1 x)))> |
#<alt (* x (- (/ 1 z) (/ 1 x)))> |
#<alt (* x (- (/ 1 z) (/ 1 x)))> |
#<alt (/ x z)> |
#<alt (* -1 (* x (- (/ 1 x) (/ 1 z))))> |
#<alt (* -1 (* x (- (/ 1 x) (/ 1 z))))> |
#<alt (* -1 (* x (- (/ 1 x) (/ 1 z))))> |
#<alt (/ z x)> |
#<alt (/ z x)> |
#<alt (/ z x)> |
#<alt (/ z x)> |
#<alt (/ z x)> |
#<alt (/ z x)> |
#<alt (/ z x)> |
#<alt (/ z x)> |
#<alt (/ z x)> |
#<alt (/ z x)> |
#<alt (/ z x)> |
#<alt (/ z x)> |
#<alt (/ z x)> |
#<alt (/ z x)> |
#<alt (/ z x)> |
#<alt (/ z x)> |
#<alt (/ z x)> |
#<alt (/ z x)> |
#<alt (/ z x)> |
#<alt (/ z x)> |
#<alt (/ z x)> |
#<alt (/ z x)> |
#<alt (/ z x)> |
#<alt (/ z x)> |
#<alt z> |
#<alt (+ z (* -1 (/ (pow x 2) z)))> |
#<alt (+ z (* -1 (/ (pow x 2) z)))> |
#<alt (+ z (* -1 (/ (pow x 2) z)))> |
#<alt (* -1 (/ (pow x 2) z))> |
#<alt (* (pow x 2) (- (/ z (pow x 2)) (/ 1 z)))> |
#<alt (* (pow x 2) (- (/ z (pow x 2)) (/ 1 z)))> |
#<alt (* (pow x 2) (- (/ z (pow x 2)) (/ 1 z)))> |
#<alt (* -1 (/ (pow x 2) z))> |
#<alt (* (pow x 2) (- (/ z (pow x 2)) (/ 1 z)))> |
#<alt (* (pow x 2) (- (/ z (pow x 2)) (/ 1 z)))> |
#<alt (* (pow x 2) (- (/ z (pow x 2)) (/ 1 z)))> |
#<alt (* -1 (/ (pow x 2) z))> |
#<alt (/ (+ (* -1 (pow x 2)) (pow z 2)) z)> |
#<alt (/ (+ (* -1 (pow x 2)) (pow z 2)) z)> |
#<alt (/ (+ (* -1 (pow x 2)) (pow z 2)) z)> |
#<alt z> |
#<alt (* z (+ 1 (* -1 (/ (pow x 2) (pow z 2)))))> |
#<alt (* z (+ 1 (* -1 (/ (pow x 2) (pow z 2)))))> |
#<alt (* z (+ 1 (* -1 (/ (pow x 2) (pow z 2)))))> |
#<alt z> |
#<alt (* -1 (* z (- (/ (pow x 2) (pow z 2)) 1)))> |
#<alt (* -1 (* z (- (/ (pow x 2) (pow z 2)) 1)))> |
#<alt (* -1 (* z (- (/ (pow x 2) (pow z 2)) 1)))> |
#<alt (* -1 z)> |
#<alt (+ x (* -1 z))> |
#<alt (+ x (* -1 z))> |
#<alt (+ x (* -1 z))> |
#<alt x> |
#<alt (* x (+ 1 (* -1 (/ z x))))> |
#<alt (* x (+ 1 (* -1 (/ z x))))> |
#<alt (* x (+ 1 (* -1 (/ z x))))> |
#<alt x> |
#<alt (* -1 (* x (- (/ z x) 1)))> |
#<alt (* -1 (* x (- (/ z x) 1)))> |
#<alt (* -1 (* x (- (/ z x) 1)))> |
#<alt x> |
#<alt (+ x (* -1 z))> |
#<alt (+ x (* -1 z))> |
#<alt (+ x (* -1 z))> |
#<alt (* -1 z)> |
#<alt (* z (- (/ x z) 1))> |
#<alt (* z (- (/ x z) 1))> |
#<alt (* z (- (/ x z) 1))> |
#<alt (* -1 z)> |
#<alt (* -1 (* z (+ 1 (* -1 (/ x z)))))> |
#<alt (* -1 (* z (+ 1 (* -1 (/ x z)))))> |
#<alt (* -1 (* z (+ 1 (* -1 (/ x z)))))> |
#<alt 1> |
#<alt (+ 1 (* -1 (/ (pow x 2) (pow z 2))))> |
#<alt (+ 1 (* -1 (/ (pow x 2) (pow z 2))))> |
#<alt (+ 1 (* -1 (/ (pow x 2) (pow z 2))))> |
#<alt (* -1 (/ (pow x 2) (pow z 2)))> |
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) (/ 1 (pow z 2))))> |
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) (/ 1 (pow z 2))))> |
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) (/ 1 (pow z 2))))> |
#<alt (* -1 (/ (pow x 2) (pow z 2)))> |
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) (/ 1 (pow z 2))))> |
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) (/ 1 (pow z 2))))> |
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) (/ 1 (pow z 2))))> |
#<alt (* -1 (/ (pow x 2) (pow z 2)))> |
#<alt (/ (- (pow z 2) (pow x 2)) (pow z 2))> |
#<alt (/ (- (pow z 2) (pow x 2)) (pow z 2))> |
#<alt (/ (- (pow z 2) (pow x 2)) (pow z 2))> |
#<alt 1> |
#<alt (+ 1 (* -1 (/ (pow x 2) (pow z 2))))> |
#<alt (+ 1 (* -1 (/ (pow x 2) (pow z 2))))> |
#<alt (+ 1 (* -1 (/ (pow x 2) (pow z 2))))> |
#<alt 1> |
#<alt (+ 1 (* -1 (/ (pow x 2) (pow z 2))))> |
#<alt (+ 1 (* -1 (/ (pow x 2) (pow z 2))))> |
#<alt (+ 1 (* -1 (/ (pow x 2) (pow z 2))))> |
#<alt (/ (pow x 2) (pow z 2))> |
#<alt (/ (pow x 2) (pow z 2))> |
#<alt (/ (pow x 2) (pow z 2))> |
#<alt (/ (pow x 2) (pow z 2))> |
#<alt (/ (pow x 2) (pow z 2))> |
#<alt (/ (pow x 2) (pow z 2))> |
#<alt (/ (pow x 2) (pow z 2))> |
#<alt (/ (pow x 2) (pow z 2))> |
#<alt (/ (pow x 2) (pow z 2))> |
#<alt (/ (pow x 2) (pow z 2))> |
#<alt (/ (pow x 2) (pow z 2))> |
#<alt (/ (pow x 2) (pow z 2))> |
#<alt (/ (pow x 2) (pow z 2))> |
#<alt (/ (pow x 2) (pow z 2))> |
#<alt (/ (pow x 2) (pow z 2))> |
#<alt (/ (pow x 2) (pow z 2))> |
#<alt (/ (pow x 2) (pow z 2))> |
#<alt (/ (pow x 2) (pow z 2))> |
#<alt (/ (pow x 2) (pow z 2))> |
#<alt (/ (pow x 2) (pow z 2))> |
#<alt (/ (pow x 2) (pow z 2))> |
#<alt (/ (pow x 2) (pow z 2))> |
#<alt (/ (pow x 2) (pow z 2))> |
#<alt (/ (pow x 2) (pow z 2))> |
#<alt x> |
#<alt (+ x (* y (- 1 (log y))))> |
#<alt (+ x (* y (- 1 (log y))))> |
#<alt (+ x (* y (- 1 (log y))))> |
#<alt (* y (- 1 (* -1 (log (/ 1 y)))))> |
#<alt (* y (- (+ 1 (/ x y)) (* -1 (log (/ 1 y)))))> |
#<alt (* y (- (+ 1 (/ x y)) (* -1 (log (/ 1 y)))))> |
#<alt (* y (- (+ 1 (/ x y)) (* -1 (log (/ 1 y)))))> |
#<alt (* y (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))> |
#<alt (* -1 (* y (- (* -1 (/ x y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))))> |
#<alt (* -1 (* y (- (* -1 (/ x y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))))> |
#<alt (* -1 (* y (- (* -1 (/ x y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))))> |
#<alt (- y (* y (log y)))> |
#<alt (- (+ x y) (* y (log y)))> |
#<alt (- (+ x y) (* y (log y)))> |
#<alt (- (+ x y) (* y (log y)))> |
#<alt x> |
#<alt (* x (- (+ 1 (/ y x)) (/ (* y (log y)) x)))> |
#<alt (* x (- (+ 1 (/ y x)) (/ (* y (log y)) x)))> |
#<alt (* x (- (+ 1 (/ y x)) (/ (* y (log y)) x)))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (- y (* y (log y))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (- y (* y (log y))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (- y (* y (log y))) x)) 1)))> |
#<alt x> |
#<alt (+ x y)> |
#<alt (+ x y)> |
#<alt (+ x y)> |
#<alt y> |
#<alt (* y (+ 1 (/ x y)))> |
#<alt (* y (+ 1 (/ x y)))> |
#<alt (* y (+ 1 (/ x y)))> |
#<alt y> |
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))> |
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))> |
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))> |
#<alt y> |
#<alt (+ x y)> |
#<alt (+ x y)> |
#<alt (+ x y)> |
#<alt x> |
#<alt (* x (+ 1 (/ y x)))> |
#<alt (* x (+ 1 (/ y x)))> |
#<alt (* x (+ 1 (/ y x)))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))> |
#<alt (* y (log y))> |
#<alt (* y (log y))> |
#<alt (* y (log y))> |
#<alt (* y (log y))> |
#<alt (* -1 (* y (log (/ 1 y))))> |
#<alt (* -1 (* y (log (/ 1 y))))> |
#<alt (* -1 (* y (log (/ 1 y))))> |
#<alt (* -1 (* y (log (/ 1 y))))> |
#<alt (* y (+ (log -1) (* -1 (log (/ -1 y)))))> |
#<alt (* y (+ (log -1) (* -1 (log (/ -1 y)))))> |
#<alt (* y (+ (log -1) (* -1 (log (/ -1 y)))))> |
#<alt (* y (+ (log -1) (* -1 (log (/ -1 y)))))> |
#<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 (* 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)> |
#<alt (/ 1/2 x)> |
#<alt (+ (* 1/2 (/ 1 x)) (/ y x))> |
#<alt (+ (* 1/2 (/ 1 x)) (/ y x))> |
#<alt (+ (* 1/2 (/ 1 x)) (/ y x))> |
#<alt (/ y x)> |
#<alt (* y (+ (/ 1 x) (* 1/2 (/ 1 (* x y)))))> |
#<alt (* y (+ (/ 1 x) (* 1/2 (/ 1 (* x y)))))> |
#<alt (* y (+ (/ 1 x) (* 1/2 (/ 1 (* x y)))))> |
#<alt (/ y x)> |
#<alt (* y (+ (/ 1 x) (* 1/2 (/ 1 (* x y)))))> |
#<alt (* y (+ (/ 1 x) (* 1/2 (/ 1 (* x y)))))> |
#<alt (* y (+ (/ 1 x) (* 1/2 (/ 1 (* x y)))))> |
#<alt (/ (+ 1/2 y) x)> |
#<alt (/ (+ 1/2 y) x)> |
#<alt (/ (+ 1/2 y) x)> |
#<alt (/ (+ 1/2 y) x)> |
#<alt (/ (+ 1/2 y) x)> |
#<alt (/ (+ 1/2 y) x)> |
#<alt (/ (+ 1/2 y) x)> |
#<alt (/ (+ 1/2 y) x)> |
#<alt (/ (+ 1/2 y) x)> |
#<alt (/ (+ 1/2 y) x)> |
#<alt (/ (+ 1/2 y) x)> |
#<alt (/ (+ 1/2 y) x)> |
#<alt -1> |
#<alt (- (* -1 (/ x z)) 1)> |
#<alt (- (* -1 (/ x z)) 1)> |
#<alt (- (* -1 (/ x z)) 1)> |
#<alt (* -1 (/ x z))> |
#<alt (* -1 (* x (+ (/ 1 x) (/ 1 z))))> |
#<alt (* -1 (* x (+ (/ 1 x) (/ 1 z))))> |
#<alt (* -1 (* x (+ (/ 1 x) (/ 1 z))))> |
#<alt (* -1 (/ x z))> |
#<alt (* -1 (* x (+ (/ 1 x) (/ 1 z))))> |
#<alt (* -1 (* x (+ (/ 1 x) (/ 1 z))))> |
#<alt (* -1 (* x (+ (/ 1 x) (/ 1 z))))> |
#<alt (* -1 (/ x z))> |
#<alt (/ (- (* -1 z) x) z)> |
#<alt (/ (- (* -1 z) x) z)> |
#<alt (/ (- (* -1 z) x) z)> |
#<alt -1> |
#<alt (- (* -1 (/ x z)) 1)> |
#<alt (- (* -1 (/ x z)) 1)> |
#<alt (- (* -1 (/ x z)) 1)> |
#<alt -1> |
#<alt (- (* -1 (/ x z)) 1)> |
#<alt (- (* -1 (/ x z)) 1)> |
#<alt (- (* -1 (/ x z)) 1)> |
114 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 24.0ms | x | @ | 0 | (* (log y) (/ (+ y 1/2) x)) |
| 2.0ms | x | @ | inf | (* (log y) (/ (+ y 1/2) x)) |
| 1.0ms | x | @ | 0 | (* x (- 1 (* (log y) (/ (+ y 1/2) x)))) |
| 1.0ms | x | @ | inf | (* (- 1 (/ (/ x z) (/ z x))) z) |
| 1.0ms | z | @ | 0 | (* (- 1 (/ (/ x z) (/ z x))) z) |
| 1× | batch-egg-rewrite |
| 8 528× | accelerator-lowering-fma.f32 |
| 8 528× | accelerator-lowering-fma.f64 |
| 4 806× | /-lowering-/.f32 |
| 4 806× | /-lowering-/.f64 |
| 4 370× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 141 |
| 1 | 209 | 135 |
| 2 | 1901 | 133 |
| 0 | 8261 | 129 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x (- 1 (* (log y) (/ (+ y 1/2) x)))) |
(- (+ (* x (- 1 (* (log y) (/ (+ y 1/2) x)))) y) z) |
(+ (* x (- 1 (* (log y) (/ (+ y 1/2) x)))) y) |
(- 1 (* (log y) (/ (+ y 1/2) x))) |
(neg z) |
(* z (+ -1 (/ 1 (/ z x)))) |
(/ 1 (/ z x)) |
(+ -1 (/ 1 (/ z x))) |
(/ z x) |
(* (- 1 (/ (/ x z) (/ z x))) z) |
(/ (* (- 1 (/ (/ x z) (/ z x))) z) (- -1 (/ x z))) |
(- 1 (/ (/ x z) (/ z x))) |
(/ (/ x z) (/ z x)) |
(- (+ y x) (* (log y) y)) |
(+ y x) |
(* (log y) y) |
(log y) |
(* (log y) (/ (+ y 1/2) x)) |
(/ (+ y 1/2) x) |
(- -1 (/ x z)) |
| Outputs |
|---|
(+.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (log.f64 y)) (/.f64 x (+.f64 y #s(literal 1/2 binary64)))))) |
(+.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (log.f64 y)) (/.f64 x (+.f64 y #s(literal 1/2 binary64)))) x)) |
(fma.f64 x #s(literal 1 binary64) (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (log.f64 y)) (/.f64 x (+.f64 y #s(literal 1/2 binary64)))))) |
(fma.f64 #s(literal 1 binary64) x (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (log.f64 y)) (/.f64 x (+.f64 y #s(literal 1/2 binary64)))) x)) |
(fma.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1 binary64)) (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (log.f64 y)) (/.f64 x (+.f64 y #s(literal 1/2 binary64)))))) |
(fma.f64 z (/.f64 x z) (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (log.f64 y)) (/.f64 x (+.f64 y #s(literal 1/2 binary64)))))) |
(fma.f64 #s(literal -1 binary64) (/.f64 z (-.f64 #s(literal 0 binary64) (/.f64 z x))) (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (log.f64 y)) (/.f64 x (+.f64 y #s(literal 1/2 binary64)))))) |
(fma.f64 (/.f64 x z) z (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (log.f64 y)) (/.f64 x (+.f64 y #s(literal 1/2 binary64)))))) |
(fma.f64 (/.f64 x z) (/.f64 z #s(literal 1 binary64)) (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (log.f64 y)) (/.f64 x (+.f64 y #s(literal 1/2 binary64)))))) |
(fma.f64 (/.f64 x (-.f64 #s(literal 0 binary64) z)) (/.f64 z #s(literal -1 binary64)) (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (log.f64 y)) (/.f64 x (+.f64 y #s(literal 1/2 binary64)))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x z) (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (log.f64 y)) (/.f64 x (+.f64 y #s(literal 1/2 binary64)))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 z (/.f64 #s(literal 1 binary64) x)) (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (log.f64 y)) (/.f64 x (+.f64 y #s(literal 1/2 binary64)))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 z (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (log.f64 y)) (/.f64 x (+.f64 y #s(literal 1/2 binary64)))))) |
(fma.f64 (*.f64 x #s(literal 1 binary64)) #s(literal 1 binary64) (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (log.f64 y)) (/.f64 x (+.f64 y #s(literal 1/2 binary64)))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 z z) (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (log.f64 y)) (/.f64 x (+.f64 y #s(literal 1/2 binary64)))))) |
(fma.f64 (/.f64 z #s(literal 1 binary64)) (/.f64 x z) (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (log.f64 y)) (/.f64 x (+.f64 y #s(literal 1/2 binary64)))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) z)) (/.f64 z (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x))) (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (log.f64 y)) (/.f64 x (+.f64 y #s(literal 1/2 binary64)))))) |
(fma.f64 (*.f64 z #s(literal 1 binary64)) (/.f64 x z) (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (log.f64 y)) (/.f64 x (+.f64 y #s(literal 1/2 binary64)))))) |
(fma.f64 (*.f64 z x) (/.f64 #s(literal 1 binary64) z) (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (log.f64 y)) (/.f64 x (+.f64 y #s(literal 1/2 binary64)))))) |
(fma.f64 (*.f64 z (/.f64 #s(literal 1 binary64) z)) x (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (log.f64 y)) (/.f64 x (+.f64 y #s(literal 1/2 binary64)))))) |
(fma.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 z z) (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (log.f64 y)) (/.f64 x (+.f64 y #s(literal 1/2 binary64)))))) |
(fma.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 z (neg.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (log.f64 y)) (/.f64 x (+.f64 y #s(literal 1/2 binary64)))))) |
(fma.f64 (/.f64 z #s(literal -1 binary64)) (/.f64 x (-.f64 #s(literal 0 binary64) z)) (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (log.f64 y)) (/.f64 x (+.f64 y #s(literal 1/2 binary64)))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x))) (/.f64 z (-.f64 #s(literal 0 binary64) z)) (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (log.f64 y)) (/.f64 x (+.f64 y #s(literal 1/2 binary64)))))) |
(fma.f64 (/.f64 z z) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (log.f64 y)) (/.f64 x (+.f64 y #s(literal 1/2 binary64)))))) |
(fma.f64 (/.f64 z z) (/.f64 x #s(literal 1 binary64)) (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (log.f64 y)) (/.f64 x (+.f64 y #s(literal 1/2 binary64)))))) |
(fma.f64 (/.f64 z z) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (log.f64 y)) (/.f64 x (+.f64 y #s(literal 1/2 binary64)))))) |
(fma.f64 (/.f64 z z) (/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (log.f64 y)) (/.f64 x (+.f64 y #s(literal 1/2 binary64)))))) |
(fma.f64 (/.f64 z (-.f64 #s(literal 0 binary64) z)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x))) (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (log.f64 y)) (/.f64 x (+.f64 y #s(literal 1/2 binary64)))))) |
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(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 z (*.f64 z z)))))) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 x z) (+.f64 #s(literal -1 binary64) (/.f64 x z))))))) |
(/.f64 (+.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal -1 binary64) (*.f64 z (*.f64 z z)))) #s(literal -1 binary64)) (+.f64 (/.f64 x (/.f64 (*.f64 z z) x)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (-.f64 #s(literal 0 binary64) z)) #s(literal -1 binary64))))) |
(pow.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 x z)) (-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (*.f64 z z) x)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 x z) (+.f64 #s(literal -1 binary64) (/.f64 x z)))) (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 z (*.f64 z z))))) #s(literal -1 binary64)) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (*.f64 z z) x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 x z)))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 z (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 x z) (+.f64 #s(literal -1 binary64) (/.f64 x z)))))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 z (*.f64 z z)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (/.f64 (*.f64 z z) x)) (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (*.f64 z z) x)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 x z) #s(literal -1 binary64)) (/.f64 z x)))))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (*.f64 z z) x))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (*.f64 z z) x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (/.f64 x z))))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (*.f64 z z) x))) (-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (*.f64 z z) x)))) (-.f64 #s(literal -1 binary64) (/.f64 x z))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (*.f64 z z) x))) (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 z (*.f64 z z))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 x z) #s(literal -1 binary64)) (/.f64 z x)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 z (*.f64 z z)) (/.f64 (*.f64 z (*.f64 z z)) (*.f64 x (*.f64 x x)))))) (-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (*.f64 z z) x)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (/.f64 (*.f64 z z) x)) (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (*.f64 z z) x)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (/.f64 x z))))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 z (*.f64 z z)) (/.f64 (*.f64 z (*.f64 z z)) (*.f64 x (*.f64 x x)))))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (*.f64 z z) x))) (-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (*.f64 z z) x))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (/.f64 (*.f64 z z) x)) (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (*.f64 z z) x)))))) (+.f64 #s(literal -1 binary64) (/.f64 x z)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 z (*.f64 z z)) (/.f64 (*.f64 z (*.f64 z z)) (*.f64 x (*.f64 x x)))))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (*.f64 z z) x))) (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 z (*.f64 z z)))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (/.f64 (*.f64 z z) x)) (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (*.f64 z z) x)))))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 x z) (+.f64 #s(literal -1 binary64) (/.f64 x z)))))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (/.f64 (*.f64 z z) x)) (/.f64 z (*.f64 (/.f64 x z) x)))) (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 z (*.f64 z z))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (*.f64 z z) x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 x z) #s(literal -1 binary64)) (/.f64 z x)))))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (/.f64 (*.f64 z z) x)) (/.f64 z (*.f64 (/.f64 x z) x)))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (*.f64 z z) x))) (-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (*.f64 z z) x))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (*.f64 z z) x)))) (+.f64 #s(literal -1 binary64) (/.f64 x z)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (/.f64 (*.f64 z z) x)) (/.f64 z (*.f64 (/.f64 x z) x)))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (*.f64 z z) x))) (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 z (*.f64 z z)))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (*.f64 z z) x)))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 x z) (+.f64 #s(literal -1 binary64) (/.f64 x z)))))) |
| 1× | egg-herbie |
| 10 946× | accelerator-lowering-fma.f32 |
| 10 946× | accelerator-lowering-fma.f64 |
| 3 396× | *-lowering-*.f32 |
| 3 396× | *-lowering-*.f64 |
| 3 280× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 246 | 3854 |
| 1 | 750 | 3560 |
| 2 | 2232 | 3323 |
| 3 | 6593 | 3275 |
| 0 | 8321 | 3148 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (* (log y) (+ 1/2 y))) |
(+ x (* -1 (* (log y) (+ 1/2 y)))) |
(+ x (* -1 (* (log y) (+ 1/2 y)))) |
(+ x (* -1 (* (log y) (+ 1/2 y)))) |
x |
(* x (+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x)))) |
(* x (+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x)))) |
(* x (+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x)))) |
x |
(* -1 (* x (- (/ (* (log y) (+ 1/2 y)) x) 1))) |
(* -1 (* x (- (/ (* (log y) (+ 1/2 y)) x) 1))) |
(* -1 (* x (- (/ (* (log y) (+ 1/2 y)) x) 1))) |
(* x (- 1 (* 1/2 (/ (log y) x)))) |
(+ (* -1 (* y (log y))) (* x (- 1 (* 1/2 (/ (log y) x))))) |
(+ (* -1 (* y (log y))) (* x (- 1 (* 1/2 (/ (log y) x))))) |
(+ (* -1 (* y (log y))) (* x (- 1 (* 1/2 (/ (log y) x))))) |
(* y (log (/ 1 y))) |
(* y (+ (log (/ 1 y)) (/ (* x (- 1 (* -1/2 (/ (log (/ 1 y)) x)))) y))) |
(* y (+ (log (/ 1 y)) (/ (* x (- 1 (* -1/2 (/ (log (/ 1 y)) x)))) y))) |
(* y (+ (log (/ 1 y)) (/ (* x (- 1 (* -1/2 (/ (log (/ 1 y)) x)))) y))) |
(* -1 (* y (+ (log -1) (* -1 (log (/ -1 y)))))) |
(* -1 (* y (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (* x (- 1 (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x)))) y)))))) |
(* -1 (* y (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (* x (- 1 (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x)))) y)))))) |
(* -1 (* y (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (* x (- 1 (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x)))) y)))))) |
(- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) |
(- (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z) |
(- (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z) |
(- (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z) |
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 (* -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 (* 1/2 (/ (log y) x)))) z) |
(- (+ (* x (- 1 (* 1/2 (/ (log y) x)))) (* y (+ 1 (* -1 (log y))))) z) |
(- (+ (* x (- 1 (* 1/2 (/ (log y) x)))) (* y (+ 1 (* -1 (log y))))) z) |
(- (+ (* x (- 1 (* 1/2 (/ (log y) x)))) (* y (+ 1 (* -1 (log y))))) z) |
(* y (+ 1 (log (/ 1 y)))) |
(* y (- (+ 1 (+ (log (/ 1 y)) (/ (* x (- 1 (* -1/2 (/ (log (/ 1 y)) x)))) y))) (/ z y))) |
(* y (- (+ 1 (+ (log (/ 1 y)) (/ (* x (- 1 (* -1/2 (/ (log (/ 1 y)) x)))) y))) (/ z y))) |
(* y (- (+ 1 (+ (log (/ 1 y)) (/ (* x (- 1 (* -1/2 (/ (log (/ 1 y)) x)))) y))) (/ z y))) |
(* -1 (* y (- (+ (log -1) (* -1 (log (/ -1 y)))) 1))) |
(* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* x (- 1 (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x)))) z) y)))) 1))) |
(* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* x (- 1 (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x)))) z) y)))) 1))) |
(* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* x (- 1 (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x)))) z) y)))) 1))) |
(+ y (* x (- 1 (/ (* (log y) (+ 1/2 y)) x)))) |
(+ y (+ (* -1 z) (* x (- 1 (/ (* (log y) (+ 1/2 y)) x))))) |
(+ y (+ (* -1 z) (* x (- 1 (/ (* (log y) (+ 1/2 y)) x))))) |
(+ y (+ (* -1 z) (* x (- 1 (/ (* (log y) (+ 1/2 y)) x))))) |
(* -1 z) |
(* z (- (+ (/ y z) (/ (* x (- 1 (/ (* (log y) (+ 1/2 y)) x))) z)) 1)) |
(* z (- (+ (/ y z) (/ (* x (- 1 (/ (* (log y) (+ 1/2 y)) x))) z)) 1)) |
(* z (- (+ (/ y z) (/ (* x (- 1 (/ (* (log y) (+ 1/2 y)) x))) z)) 1)) |
(* -1 z) |
(* -1 (* z (+ 1 (* -1 (/ (+ y (* x (- 1 (/ (* (log y) (+ 1/2 y)) x)))) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (+ y (* x (- 1 (/ (* (log y) (+ 1/2 y)) x)))) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (+ y (* x (- 1 (/ (* (log y) (+ 1/2 y)) x)))) z))))) |
(+ y (* -1 (* (log y) (+ 1/2 y)))) |
(+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) |
(+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) |
(+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) |
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 (* -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 (* 1/2 (/ (log y) x)))) |
(+ (* x (- 1 (* 1/2 (/ (log y) x)))) (* y (+ 1 (* -1 (log y))))) |
(+ (* x (- 1 (* 1/2 (/ (log y) x)))) (* y (+ 1 (* -1 (log y))))) |
(+ (* x (- 1 (* 1/2 (/ (log y) x)))) (* y (+ 1 (* -1 (log y))))) |
(* y (+ 1 (log (/ 1 y)))) |
(* y (+ 1 (+ (log (/ 1 y)) (/ (* x (- 1 (* -1/2 (/ (log (/ 1 y)) x)))) y)))) |
(* y (+ 1 (+ (log (/ 1 y)) (/ (* x (- 1 (* -1/2 (/ (log (/ 1 y)) x)))) y)))) |
(* y (+ 1 (+ (log (/ 1 y)) (/ (* x (- 1 (* -1/2 (/ (log (/ 1 y)) x)))) y)))) |
(* -1 (* y (- (+ (log -1) (* -1 (log (/ -1 y)))) 1))) |
(* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (* x (- 1 (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x)))) y)))) 1))) |
(* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (* x (- 1 (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x)))) y)))) 1))) |
(* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (* x (- 1 (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x)))) y)))) 1))) |
(- 1 (* 1/2 (/ (log y) x))) |
(- (+ 1 (* -1 (/ (* y (log y)) x))) (* 1/2 (/ (log y) x))) |
(- (+ 1 (* -1 (/ (* y (log y)) x))) (* 1/2 (/ (log y) x))) |
(- (+ 1 (* -1 (/ (* y (log y)) x))) (* 1/2 (/ (log y) x))) |
(/ (* y (log (/ 1 y))) x) |
(* y (- (/ 1 y) (+ (* -1 (/ (log (/ 1 y)) x)) (* -1/2 (/ (log (/ 1 y)) (* x y)))))) |
(* y (- (/ 1 y) (+ (* -1 (/ (log (/ 1 y)) x)) (* -1/2 (/ (log (/ 1 y)) (* x y)))))) |
(* y (- (/ 1 y) (+ (* -1 (/ (log (/ 1 y)) x)) (* -1/2 (/ (log (/ 1 y)) (* x y)))))) |
(* -1 (/ (* y (+ (log -1) (* -1 (log (/ -1 y))))) x)) |
(* -1 (* y (- (* -1 (/ (- 1 (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x))) y)) (* -1 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x))))) |
(* -1 (* y (- (* -1 (/ (- 1 (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x))) y)) (* -1 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x))))) |
(* -1 (* y (- (* -1 (/ (- 1 (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x))) y)) (* -1 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x))))) |
(* -1 (/ (* (log y) (+ 1/2 y)) x)) |
(/ (- x (* (log y) (+ 1/2 y))) x) |
(/ (- x (* (log y) (+ 1/2 y))) x) |
(/ (- x (* (log y) (+ 1/2 y))) x) |
1 |
(+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x))) |
(+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x))) |
(+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x))) |
1 |
(+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x))) |
(+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x))) |
(+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x))) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
x |
(+ x (* -1 z)) |
(+ x (* -1 z)) |
(+ x (* -1 z)) |
(* -1 z) |
(* z (- (/ x z) 1)) |
(* z (- (/ x z) 1)) |
(* z (- (/ x z) 1)) |
(* -1 z) |
(* -1 (* z (+ 1 (* -1 (/ x z))))) |
(* -1 (* z (+ 1 (* -1 (/ x z))))) |
(* -1 (* z (+ 1 (* -1 (/ x z))))) |
(* -1 z) |
(+ x (* -1 z)) |
(+ x (* -1 z)) |
(+ x (* -1 z)) |
x |
(* x (+ 1 (* -1 (/ z x)))) |
(* x (+ 1 (* -1 (/ z x)))) |
(* x (+ 1 (* -1 (/ z x)))) |
x |
(* -1 (* x (- (/ z x) 1))) |
(* -1 (* x (- (/ z x) 1))) |
(* -1 (* x (- (/ z x) 1))) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ (+ x (* -1 z)) z) |
(/ (+ x (* -1 z)) z) |
(/ (+ x (* -1 z)) z) |
-1 |
(- (/ x z) 1) |
(- (/ x z) 1) |
(- (/ x z) 1) |
-1 |
(- (/ x z) 1) |
(- (/ x z) 1) |
(- (/ x z) 1) |
-1 |
(- (/ x z) 1) |
(- (/ x z) 1) |
(- (/ x z) 1) |
(/ x z) |
(* x (- (/ 1 z) (/ 1 x))) |
(* x (- (/ 1 z) (/ 1 x))) |
(* x (- (/ 1 z) (/ 1 x))) |
(/ x z) |
(* -1 (* x (- (/ 1 x) (/ 1 z)))) |
(* -1 (* x (- (/ 1 x) (/ 1 z)))) |
(* -1 (* x (- (/ 1 x) (/ 1 z)))) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ z x) |
z |
(+ z (* -1 (/ (pow x 2) z))) |
(+ z (* -1 (/ (pow x 2) z))) |
(+ z (* -1 (/ (pow x 2) z))) |
(* -1 (/ (pow x 2) z)) |
(* (pow x 2) (- (/ z (pow x 2)) (/ 1 z))) |
(* (pow x 2) (- (/ z (pow x 2)) (/ 1 z))) |
(* (pow x 2) (- (/ z (pow x 2)) (/ 1 z))) |
(* -1 (/ (pow x 2) z)) |
(* (pow x 2) (- (/ z (pow x 2)) (/ 1 z))) |
(* (pow x 2) (- (/ z (pow x 2)) (/ 1 z))) |
(* (pow x 2) (- (/ z (pow x 2)) (/ 1 z))) |
(* -1 (/ (pow x 2) z)) |
(/ (+ (* -1 (pow x 2)) (pow z 2)) z) |
(/ (+ (* -1 (pow x 2)) (pow z 2)) z) |
(/ (+ (* -1 (pow x 2)) (pow z 2)) z) |
z |
(* z (+ 1 (* -1 (/ (pow x 2) (pow z 2))))) |
(* z (+ 1 (* -1 (/ (pow x 2) (pow z 2))))) |
(* z (+ 1 (* -1 (/ (pow x 2) (pow z 2))))) |
z |
(* -1 (* z (- (/ (pow x 2) (pow z 2)) 1))) |
(* -1 (* z (- (/ (pow x 2) (pow z 2)) 1))) |
(* -1 (* z (- (/ (pow x 2) (pow z 2)) 1))) |
(* -1 z) |
(+ x (* -1 z)) |
(+ x (* -1 z)) |
(+ x (* -1 z)) |
x |
(* x (+ 1 (* -1 (/ z x)))) |
(* x (+ 1 (* -1 (/ z x)))) |
(* x (+ 1 (* -1 (/ z x)))) |
x |
(* -1 (* x (- (/ z x) 1))) |
(* -1 (* x (- (/ z x) 1))) |
(* -1 (* x (- (/ z x) 1))) |
x |
(+ x (* -1 z)) |
(+ x (* -1 z)) |
(+ x (* -1 z)) |
(* -1 z) |
(* z (- (/ x z) 1)) |
(* z (- (/ x z) 1)) |
(* z (- (/ x z) 1)) |
(* -1 z) |
(* -1 (* z (+ 1 (* -1 (/ x z))))) |
(* -1 (* z (+ 1 (* -1 (/ x z))))) |
(* -1 (* z (+ 1 (* -1 (/ x z))))) |
1 |
(+ 1 (* -1 (/ (pow x 2) (pow z 2)))) |
(+ 1 (* -1 (/ (pow x 2) (pow z 2)))) |
(+ 1 (* -1 (/ (pow x 2) (pow z 2)))) |
(* -1 (/ (pow x 2) (pow z 2))) |
(* (pow x 2) (- (/ 1 (pow x 2)) (/ 1 (pow z 2)))) |
(* (pow x 2) (- (/ 1 (pow x 2)) (/ 1 (pow z 2)))) |
(* (pow x 2) (- (/ 1 (pow x 2)) (/ 1 (pow z 2)))) |
(* -1 (/ (pow x 2) (pow z 2))) |
(* (pow x 2) (- (/ 1 (pow x 2)) (/ 1 (pow z 2)))) |
(* (pow x 2) (- (/ 1 (pow x 2)) (/ 1 (pow z 2)))) |
(* (pow x 2) (- (/ 1 (pow x 2)) (/ 1 (pow z 2)))) |
(* -1 (/ (pow x 2) (pow z 2))) |
(/ (- (pow z 2) (pow x 2)) (pow z 2)) |
(/ (- (pow z 2) (pow x 2)) (pow z 2)) |
(/ (- (pow z 2) (pow x 2)) (pow z 2)) |
1 |
(+ 1 (* -1 (/ (pow x 2) (pow z 2)))) |
(+ 1 (* -1 (/ (pow x 2) (pow z 2)))) |
(+ 1 (* -1 (/ (pow x 2) (pow z 2)))) |
1 |
(+ 1 (* -1 (/ (pow x 2) (pow z 2)))) |
(+ 1 (* -1 (/ (pow x 2) (pow z 2)))) |
(+ 1 (* -1 (/ (pow x 2) (pow z 2)))) |
(/ (pow x 2) (pow z 2)) |
(/ (pow x 2) (pow z 2)) |
(/ (pow x 2) (pow z 2)) |
(/ (pow x 2) (pow z 2)) |
(/ (pow x 2) (pow z 2)) |
(/ (pow x 2) (pow z 2)) |
(/ (pow x 2) (pow z 2)) |
(/ (pow x 2) (pow z 2)) |
(/ (pow x 2) (pow z 2)) |
(/ (pow x 2) (pow z 2)) |
(/ (pow x 2) (pow z 2)) |
(/ (pow x 2) (pow z 2)) |
(/ (pow x 2) (pow z 2)) |
(/ (pow x 2) (pow z 2)) |
(/ (pow x 2) (pow z 2)) |
(/ (pow x 2) (pow z 2)) |
(/ (pow x 2) (pow z 2)) |
(/ (pow x 2) (pow z 2)) |
(/ (pow x 2) (pow z 2)) |
(/ (pow x 2) (pow z 2)) |
(/ (pow x 2) (pow z 2)) |
(/ (pow x 2) (pow z 2)) |
(/ (pow x 2) (pow z 2)) |
(/ (pow x 2) (pow z 2)) |
x |
(+ x (* y (- 1 (log y)))) |
(+ x (* y (- 1 (log y)))) |
(+ x (* y (- 1 (log y)))) |
(* y (- 1 (* -1 (log (/ 1 y))))) |
(* y (- (+ 1 (/ x y)) (* -1 (log (/ 1 y))))) |
(* y (- (+ 1 (/ x y)) (* -1 (log (/ 1 y))))) |
(* y (- (+ 1 (/ x y)) (* -1 (log (/ 1 y))))) |
(* y (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))) |
(* -1 (* y (- (* -1 (/ x y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))))) |
(* -1 (* y (- (* -1 (/ x y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))))) |
(* -1 (* y (- (* -1 (/ x y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))))) |
(- y (* y (log y))) |
(- (+ x y) (* y (log y))) |
(- (+ x y) (* y (log y))) |
(- (+ x y) (* y (log y))) |
x |
(* x (- (+ 1 (/ y x)) (/ (* y (log y)) x))) |
(* x (- (+ 1 (/ y x)) (/ (* y (log y)) x))) |
(* x (- (+ 1 (/ y x)) (/ (* y (log y)) x))) |
x |
(* -1 (* x (- (* -1 (/ (- y (* y (log y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- y (* y (log y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- y (* y (log y))) x)) 1))) |
x |
(+ x y) |
(+ x y) |
(+ x y) |
y |
(* y (+ 1 (/ x y))) |
(* y (+ 1 (/ x y))) |
(* y (+ 1 (/ x y))) |
y |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
y |
(+ x y) |
(+ x y) |
(+ x y) |
x |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (/ y x))) |
x |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* y (log y)) |
(* y (log y)) |
(* y (log y)) |
(* y (log y)) |
(* -1 (* y (log (/ 1 y)))) |
(* -1 (* y (log (/ 1 y)))) |
(* -1 (* y (log (/ 1 y)))) |
(* -1 (* y (log (/ 1 y)))) |
(* y (+ (log -1) (* -1 (log (/ -1 y))))) |
(* y (+ (log -1) (* -1 (log (/ -1 y))))) |
(* y (+ (log -1) (* -1 (log (/ -1 y))))) |
(* y (+ (log -1) (* -1 (log (/ -1 y))))) |
(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)))) |
(* 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) |
(/ 1/2 x) |
(+ (* 1/2 (/ 1 x)) (/ y x)) |
(+ (* 1/2 (/ 1 x)) (/ y x)) |
(+ (* 1/2 (/ 1 x)) (/ y x)) |
(/ y x) |
(* y (+ (/ 1 x) (* 1/2 (/ 1 (* x y))))) |
(* y (+ (/ 1 x) (* 1/2 (/ 1 (* x y))))) |
(* y (+ (/ 1 x) (* 1/2 (/ 1 (* x y))))) |
(/ y x) |
(* y (+ (/ 1 x) (* 1/2 (/ 1 (* x y))))) |
(* y (+ (/ 1 x) (* 1/2 (/ 1 (* x y))))) |
(* y (+ (/ 1 x) (* 1/2 (/ 1 (* x y))))) |
(/ (+ 1/2 y) x) |
(/ (+ 1/2 y) x) |
(/ (+ 1/2 y) x) |
(/ (+ 1/2 y) x) |
(/ (+ 1/2 y) x) |
(/ (+ 1/2 y) x) |
(/ (+ 1/2 y) x) |
(/ (+ 1/2 y) x) |
(/ (+ 1/2 y) x) |
(/ (+ 1/2 y) x) |
(/ (+ 1/2 y) x) |
(/ (+ 1/2 y) x) |
-1 |
(- (* -1 (/ x z)) 1) |
(- (* -1 (/ x z)) 1) |
(- (* -1 (/ x z)) 1) |
(* -1 (/ x z)) |
(* -1 (* x (+ (/ 1 x) (/ 1 z)))) |
(* -1 (* x (+ (/ 1 x) (/ 1 z)))) |
(* -1 (* x (+ (/ 1 x) (/ 1 z)))) |
(* -1 (/ x z)) |
(* -1 (* x (+ (/ 1 x) (/ 1 z)))) |
(* -1 (* x (+ (/ 1 x) (/ 1 z)))) |
(* -1 (* x (+ (/ 1 x) (/ 1 z)))) |
(* -1 (/ x z)) |
(/ (- (* -1 z) x) z) |
(/ (- (* -1 z) x) z) |
(/ (- (* -1 z) x) z) |
-1 |
(- (* -1 (/ x z)) 1) |
(- (* -1 (/ x z)) 1) |
(- (* -1 (/ x z)) 1) |
-1 |
(- (* -1 (/ x z)) 1) |
(- (* -1 (/ x z)) 1) |
(- (* -1 (/ x z)) 1) |
| Outputs |
|---|
(* -1 (* (log y) (+ 1/2 y))) |
(*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) |
(+ x (* -1 (* (log y) (+ 1/2 y)))) |
(+.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) x) |
(+ x (* -1 (* (log y) (+ 1/2 y)))) |
(+.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) x) |
(+ x (* -1 (* (log y) (+ 1/2 y)))) |
(+.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) x) |
x |
(* x (+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x)))) |
(+.f64 x (*.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) #s(literal 1 binary64))) |
(* x (+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x)))) |
(+.f64 x (*.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) #s(literal 1 binary64))) |
(* x (+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x)))) |
(+.f64 x (*.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) #s(literal 1 binary64))) |
x |
(* -1 (* x (- (/ (* (log y) (+ 1/2 y)) x) 1))) |
(+.f64 x (*.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) #s(literal 1 binary64))) |
(* -1 (* x (- (/ (* (log y) (+ 1/2 y)) x) 1))) |
(+.f64 x (*.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) #s(literal 1 binary64))) |
(* -1 (* x (- (/ (* (log y) (+ 1/2 y)) x) 1))) |
(+.f64 x (*.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) #s(literal 1 binary64))) |
(* x (- 1 (* 1/2 (/ (log y) x)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (log.f64 y) x) #s(literal -1/2 binary64)))) |
(+ (* -1 (* y (log y))) (* x (- 1 (* 1/2 (/ (log y) x))))) |
(-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (log.f64 y) x) #s(literal -1/2 binary64)))) (*.f64 y (log.f64 y))) |
(+ (* -1 (* y (log y))) (* x (- 1 (* 1/2 (/ (log y) x))))) |
(-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (log.f64 y) x) #s(literal -1/2 binary64)))) (*.f64 y (log.f64 y))) |
(+ (* -1 (* y (log y))) (* x (- 1 (* 1/2 (/ (log y) x))))) |
(-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (log.f64 y) x) #s(literal -1/2 binary64)))) (*.f64 y (log.f64 y))) |
(* y (log (/ 1 y))) |
(-.f64 #s(literal 0 binary64) (*.f64 y (log.f64 y))) |
(* y (+ (log (/ 1 y)) (/ (* x (- 1 (* -1/2 (/ (log (/ 1 y)) x)))) y))) |
(-.f64 (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (log.f64 y) x) #s(literal -1/2 binary64)))) #s(literal 1 binary64)) (*.f64 y (log.f64 y))) |
(* y (+ (log (/ 1 y)) (/ (* x (- 1 (* -1/2 (/ (log (/ 1 y)) x)))) y))) |
(-.f64 (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (log.f64 y) x) #s(literal -1/2 binary64)))) #s(literal 1 binary64)) (*.f64 y (log.f64 y))) |
(* y (+ (log (/ 1 y)) (/ (* x (- 1 (* -1/2 (/ (log (/ 1 y)) x)))) y))) |
(-.f64 (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (log.f64 y) x) #s(literal -1/2 binary64)))) #s(literal 1 binary64)) (*.f64 y (log.f64 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 (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (* x (- 1 (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x)))) y)))))) |
(*.f64 y (-.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64))) (*.f64 (/.f64 x y) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) x)))))) |
(* -1 (* y (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (* x (- 1 (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x)))) y)))))) |
(*.f64 y (-.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64))) (*.f64 (/.f64 x y) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) x)))))) |
(* -1 (* y (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (* x (- 1 (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x)))) y)))))) |
(*.f64 y (-.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64))) (*.f64 (/.f64 x y) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) x)))))) |
(- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) |
(+.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) (-.f64 y z)) |
(- (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z) |
(+.f64 y (+.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) (-.f64 x z))) |
(- (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z) |
(+.f64 y (+.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) (-.f64 x z))) |
(- (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z) |
(+.f64 y (+.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) (-.f64 x z))) |
x |
(* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x)))) |
(+.f64 x (+.f64 y (-.f64 (*.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) #s(literal 1 binary64)) z))) |
(* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x)))) |
(+.f64 x (+.f64 y (-.f64 (*.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) #s(literal 1 binary64)) z))) |
(* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x)))) |
(+.f64 x (+.f64 y (-.f64 (*.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) #s(literal 1 binary64)) z))) |
x |
(* -1 (* x (- (* -1 (/ (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) x)) 1))) |
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))) (-.f64 y z)) x))) |
(* -1 (* x (- (* -1 (/ (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) x)) 1))) |
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))) (-.f64 y z)) x))) |
(* -1 (* x (- (* -1 (/ (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) x)) 1))) |
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))) (-.f64 y z)) x))) |
(- (* x (- 1 (* 1/2 (/ (log y) x)))) z) |
(-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (log.f64 y) x) #s(literal -1/2 binary64)))) z) |
(- (+ (* x (- 1 (* 1/2 (/ (log y) x)))) (* y (+ 1 (* -1 (log y))))) z) |
(+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (log.f64 y) x) #s(literal -1/2 binary64)))) (-.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y))) z)) |
(- (+ (* x (- 1 (* 1/2 (/ (log y) x)))) (* y (+ 1 (* -1 (log y))))) z) |
(+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (log.f64 y) x) #s(literal -1/2 binary64)))) (-.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y))) z)) |
(- (+ (* x (- 1 (* 1/2 (/ (log y) x)))) (* y (+ 1 (* -1 (log y))))) z) |
(+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (log.f64 y) x) #s(literal -1/2 binary64)))) (-.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y))) z)) |
(* y (+ 1 (log (/ 1 y)))) |
(*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y))) |
(* y (- (+ 1 (+ (log (/ 1 y)) (/ (* x (- 1 (* -1/2 (/ (log (/ 1 y)) x)))) y))) (/ z y))) |
(*.f64 y (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (log.f64 y) x) #s(literal -1/2 binary64))) (/.f64 x y)) (-.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) (/.f64 z y)))) |
(* y (- (+ 1 (+ (log (/ 1 y)) (/ (* x (- 1 (* -1/2 (/ (log (/ 1 y)) x)))) y))) (/ z y))) |
(*.f64 y (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (log.f64 y) x) #s(literal -1/2 binary64))) (/.f64 x y)) (-.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) (/.f64 z y)))) |
(* y (- (+ 1 (+ (log (/ 1 y)) (/ (* x (- 1 (* -1/2 (/ (log (/ 1 y)) x)))) y))) (/ z y))) |
(*.f64 y (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (log.f64 y) x) #s(literal -1/2 binary64))) (/.f64 x y)) (-.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) (/.f64 z y)))) |
(* -1 (* y (- (+ (log -1) (* -1 (log (/ -1 y)))) 1))) |
(*.f64 y (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (-.f64 #s(literal 1 binary64) (log.f64 #s(literal -1 binary64))))) |
(* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* x (- 1 (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x)))) z) y)))) 1))) |
(*.f64 y (-.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64))) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64)))) x))) z) y)))) |
(* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* x (- 1 (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x)))) z) y)))) 1))) |
(*.f64 y (-.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64))) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64)))) x))) z) y)))) |
(* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* x (- 1 (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x)))) z) y)))) 1))) |
(*.f64 y (-.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64))) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64)))) x))) z) y)))) |
(+ y (* x (- 1 (/ (* (log y) (+ 1/2 y)) x)))) |
(+.f64 (+.f64 y x) (*.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) #s(literal 1 binary64))) |
(+ y (+ (* -1 z) (* x (- 1 (/ (* (log y) (+ 1/2 y)) x))))) |
(+.f64 x (+.f64 y (-.f64 (*.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) #s(literal 1 binary64)) z))) |
(+ y (+ (* -1 z) (* x (- 1 (/ (* (log y) (+ 1/2 y)) x))))) |
(+.f64 x (+.f64 y (-.f64 (*.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) #s(literal 1 binary64)) z))) |
(+ y (+ (* -1 z) (* x (- 1 (/ (* (log y) (+ 1/2 y)) x))))) |
(+.f64 x (+.f64 y (-.f64 (*.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) #s(literal 1 binary64)) z))) |
(* -1 z) |
(-.f64 #s(literal 0 binary64) z) |
(* z (- (+ (/ y z) (/ (* x (- 1 (/ (* (log y) (+ 1/2 y)) x))) z)) 1)) |
(*.f64 z (+.f64 (/.f64 (+.f64 x (*.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) #s(literal 1 binary64))) z) (+.f64 #s(literal -1 binary64) (/.f64 y z)))) |
(* z (- (+ (/ y z) (/ (* x (- 1 (/ (* (log y) (+ 1/2 y)) x))) z)) 1)) |
(*.f64 z (+.f64 (/.f64 (+.f64 x (*.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) #s(literal 1 binary64))) z) (+.f64 #s(literal -1 binary64) (/.f64 y z)))) |
(* z (- (+ (/ y z) (/ (* x (- 1 (/ (* (log y) (+ 1/2 y)) x))) z)) 1)) |
(*.f64 z (+.f64 (/.f64 (+.f64 x (*.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) #s(literal 1 binary64))) z) (+.f64 #s(literal -1 binary64) (/.f64 y z)))) |
(* -1 z) |
(-.f64 #s(literal 0 binary64) z) |
(* -1 (* z (+ 1 (* -1 (/ (+ y (* x (- 1 (/ (* (log y) (+ 1/2 y)) x)))) z))))) |
(-.f64 (-.f64 #s(literal 0 binary64) z) (*.f64 (-.f64 #s(literal 0 binary64) (+.f64 (+.f64 y x) (*.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) #s(literal 1 binary64)))) #s(literal 1 binary64))) |
(* -1 (* z (+ 1 (* -1 (/ (+ y (* x (- 1 (/ (* (log y) (+ 1/2 y)) x)))) z))))) |
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(* -1 (* z (+ 1 (* -1 (/ (+ y (* x (- 1 (/ (* (log y) (+ 1/2 y)) x)))) z))))) |
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(-.f64 #s(literal -1 binary64) (/.f64 x z)) |
(* -1 (* x (+ (/ 1 x) (/ 1 z)))) |
(-.f64 #s(literal -1 binary64) (/.f64 x z)) |
(* -1 (* x (+ (/ 1 x) (/ 1 z)))) |
(-.f64 #s(literal -1 binary64) (/.f64 x z)) |
(* -1 (/ x z)) |
(-.f64 #s(literal 0 binary64) (/.f64 x z)) |
(* -1 (* x (+ (/ 1 x) (/ 1 z)))) |
(-.f64 #s(literal -1 binary64) (/.f64 x z)) |
(* -1 (* x (+ (/ 1 x) (/ 1 z)))) |
(-.f64 #s(literal -1 binary64) (/.f64 x z)) |
(* -1 (* x (+ (/ 1 x) (/ 1 z)))) |
(-.f64 #s(literal -1 binary64) (/.f64 x z)) |
(* -1 (/ x z)) |
(-.f64 #s(literal 0 binary64) (/.f64 x z)) |
(/ (- (* -1 z) x) z) |
(-.f64 #s(literal -1 binary64) (/.f64 x z)) |
(/ (- (* -1 z) x) z) |
(-.f64 #s(literal -1 binary64) (/.f64 x z)) |
(/ (- (* -1 z) x) z) |
(-.f64 #s(literal -1 binary64) (/.f64 x z)) |
-1 |
#s(literal -1 binary64) |
(- (* -1 (/ x z)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 x z)) |
(- (* -1 (/ x z)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 x z)) |
(- (* -1 (/ x z)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 x z)) |
-1 |
#s(literal -1 binary64) |
(- (* -1 (/ x z)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 x z)) |
(- (* -1 (/ x z)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 x z)) |
(- (* -1 (/ x z)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 x z)) |
Compiled 33 174 to 3 914 computations (88.2% saved)
48 alts after pruning (43 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 540 | 16 | 1 556 |
| Fresh | 3 | 27 | 30 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 3 | 3 |
| Total | 1 546 | 48 | 1 594 |
| Status | Accuracy | Program |
|---|---|---|
| 8.7% | (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z))) (*.f64 z z)) | |
| 13.5% | (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) z) | |
| 9.2% | (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (/.f64 x z))) (-.f64 #s(literal -1 binary64) (/.f64 x z))) | |
| 14.5% | (/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1 binary64))) (+.f64 (*.f64 z z) (-.f64 (*.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) z) (*.f64 x #s(literal 1 binary64)))))) | |
| 38.6% | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (/.f64 z x)) z)) z) (-.f64 #s(literal -1 binary64) (/.f64 x z))) | |
| 37.2% | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 x z) (/.f64 z x))) z) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (*.f64 z z) x))) (+.f64 #s(literal -1 binary64) (/.f64 x z)))) | |
| 8.9% | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 x z) (/.f64 z x))) z) (-.f64 #s(literal 0 binary64) (/.f64 x z))) | |
| 32.6% | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 x z) (/.f64 z x))) z) #s(literal -1 binary64)) | |
| 29.1% | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 z (*.f64 z z)) (/.f64 (*.f64 z (*.f64 z z)) (*.f64 x (*.f64 x x)))))) (/.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x z)))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (/.f64 (*.f64 z z) x)) (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (*.f64 z z) x)))))) | |
| 38.1% | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (*.f64 z z) x))) z) (-.f64 #s(literal -1 binary64) (/.f64 x z))) | |
| 38.6% | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 z x) (-.f64 #s(literal 0 binary64) (/.f64 z x))))) z) (-.f64 #s(literal -1 binary64) (/.f64 x z))) | |
| 32.2% | (/.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x z))) | |
| 28.6% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (log.f64 y))) y)) | |
| 8.7% | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z z) (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z))))) | |
| 13.4% | (/.f64 #s(literal 1 binary64) (/.f64 z (-.f64 #s(literal 0 binary64) (*.f64 z z)))) | |
| 28.3% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) | |
| 32.0% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z)) | |
| 85.8% | (-.f64 (-.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) (log.f64 y))) y)) z) | |
| 72.4% | (-.f64 (-.f64 x (*.f64 (log.f64 y) #s(literal 1/2 binary64))) z) | |
| 73.6% | (-.f64 (+.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (log.f64 y)) x))) y) z) | |
| 87.1% | (-.f64 (+.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))))))) y) z) | |
| 68.7% | (-.f64 (+.f64 y x) (/.f64 (+.f64 y #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 y)))) | |
| 68.7% | (-.f64 (+.f64 y x) (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64))))) | |
| ✓ | 68.8% | (-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))) |
| 57.7% | (-.f64 (+.f64 x y) z) | |
| 58.7% | (-.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y))) z) | |
| 41.0% | (-.f64 y (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))) | |
| 28.6% | (-.f64 y (*.f64 (log.f64 y) y)) | |
| 49.8% | (-.f64 x (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))) | |
| 36.8% | (-.f64 x (*.f64 (log.f64 y) y)) | |
| 58.3% | (-.f64 x z) | |
| 42.0% | (+.f64 x (*.f64 (log.f64 y) #s(literal -1/2 binary64))) | |
| 55.6% | (+.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y)))) | |
| 13.4% | (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) z)) | |
| 19.5% | (*.f64 z (/.f64 x z)) | |
| 49.4% | (*.f64 z (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) x) #s(literal -1 binary64))) | |
| 49.3% | (*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z))))) | |
| ✓ | 49.4% | (*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 z x)))) |
| 49.4% | (*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) z)))) | |
| 63.5% | (*.f64 z (+.f64 #s(literal -1 binary64) (+.f64 (/.f64 x z) (/.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64)) z)))) | |
| 21.3% | (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z)))) (*.f64 z z)))) | |
| 45.3% | (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 z z))) z))) | |
| 38.6% | (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 x (/.f64 #s(literal 1 binary64) z))))) | |
| 18.8% | (*.f64 z (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) (/.f64 y z))) | |
| ✓ | 28.7% | (*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y))) |
| 49.1% | (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z x))) | |
| ✓ | 32.2% | (neg.f64 z) |
| ✓ | 28.4% | x |
Compiled 1 636 to 719 computations (56.1% saved)
| Inputs |
|---|
x |
(neg.f64 z) |
(-.f64 #s(literal 0 binary64) z) |
(-.f64 x z) |
(*.f64 z (/.f64 x z)) |
(-.f64 (+.f64 x y) z) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z x))) |
(*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 x z))) |
(/.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x z))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) z) |
(*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 z x)))) |
(*.f64 z (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) x) #s(literal -1 binary64))) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) z)) |
(/.f64 #s(literal 1 binary64) (/.f64 z (-.f64 #s(literal 0 binary64) (*.f64 z z)))) |
(*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) z)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z))) (*.f64 z z)) |
(*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z z) (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 x z) (/.f64 z x))) z) #s(literal -1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (/.f64 x z))) (-.f64 #s(literal -1 binary64) (/.f64 x z))) |
(*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 x (/.f64 #s(literal 1 binary64) z))))) |
(*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 z z))) z))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (*.f64 z z) x))) z) (-.f64 #s(literal -1 binary64) (/.f64 x z))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 x z) (/.f64 z x))) z) (-.f64 #s(literal -1 binary64) (/.f64 x z))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 x z) (/.f64 z x))) z) (-.f64 #s(literal 0 binary64) (/.f64 x z))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (/.f64 z x)) z)) z) (-.f64 #s(literal -1 binary64) (/.f64 x z))) |
(*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z)))) (*.f64 z z)))) |
(/.f64 (-.f64 (*.f64 z z) (*.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64)))) (-.f64 (-.f64 #s(literal 0 binary64) z) (*.f64 x #s(literal 1 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 z x) (-.f64 #s(literal 0 binary64) (/.f64 z x))))) z) (-.f64 #s(literal -1 binary64) (/.f64 x z))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 x z) (/.f64 z x))) z) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (*.f64 z z) x))) (+.f64 #s(literal -1 binary64) (/.f64 x z)))) |
(/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1 binary64))) (+.f64 (*.f64 z z) (-.f64 (*.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) z) (*.f64 x #s(literal 1 binary64)))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 z (*.f64 z z)) (/.f64 (*.f64 z (*.f64 z z)) (*.f64 x (*.f64 x x)))))) (/.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x z)))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (/.f64 (*.f64 z z) x)) (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (*.f64 z z) x)))))) |
(*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y))) |
(+.f64 x (*.f64 (log.f64 y) #s(literal -1/2 binary64))) |
(-.f64 x (*.f64 (log.f64 y) y)) |
(-.f64 y (*.f64 (log.f64 y) y)) |
(+.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y)))) |
(-.f64 x (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))) |
(-.f64 y (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))) |
(-.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y))) z) |
(-.f64 (+.f64 x (*.f64 (log.f64 y) #s(literal -1/2 binary64))) z) |
(-.f64 (+.f64 y x) (*.f64 (log.f64 y) y)) |
(-.f64 (-.f64 x (*.f64 (log.f64 y) #s(literal 1/2 binary64))) z) |
(*.f64 z (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) (/.f64 y z))) |
(+.f64 (+.f64 y x) (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y))) |
(-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))) |
(-.f64 (-.f64 x (*.f64 y (+.f64 (log.f64 y) #s(literal -1 binary64)))) z) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (log.f64 y))) y)) |
(-.f64 (+.f64 y x) (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64))))) |
(-.f64 (+.f64 y x) (/.f64 (+.f64 y #s(literal 1/2 binary64)) (/.f64 #s(literal 1 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 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) y)) z) |
(*.f64 z (+.f64 #s(literal -1 binary64) (+.f64 (/.f64 x z) (/.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64)) z)))) |
(-.f64 (+.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (log.f64 y)) x))) y) z) |
(-.f64 (+.f64 (-.f64 x (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64))))) y) z) |
(-.f64 (-.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) (log.f64 y))) y)) z) |
(-.f64 (+.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (log.f64 y) (/.f64 (+.f64 y #s(literal 1/2 binary64)) x)))) y) z) |
(-.f64 (-.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64))) (log.f64 y))) y)) z) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) (+.f64 x (-.f64 y z))))) |
(-.f64 (+.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))))))) y) z) |
(-.f64 (+.f64 (-.f64 x (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) (log.f64 y)) (-.f64 #s(literal 1/2 binary64) y))) y) z) |
(*.f64 y (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 y)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) y))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) y)))) |
(*.f64 z (+.f64 #s(literal -1 binary64) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 y x)) (*.f64 (log.f64 y) (/.f64 (-.f64 #s(literal -1/2 binary64) y) z))))) |
(*.f64 z (+.f64 #s(literal -1 binary64) (+.f64 (*.f64 (/.f64 (log.f64 y) z) (-.f64 #s(literal -1/2 binary64) y)) (*.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 y x))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (+.f64 #s(literal -1 binary64) (/.f64 y z)) (*.f64 (log.f64 y) (/.f64 (+.f64 y #s(literal 1/2 binary64)) z))) (/.f64 z x)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log.f64 y) #s(literal 2 binary64))) y) (+.f64 (log.f64 y) #s(literal 1 binary64))) |
(*.f64 (+.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) (+.f64 x (+.f64 y z))) (*.f64 (+.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) (+.f64 x (-.f64 y z))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) (+.f64 x (+.f64 y z)))))) |
(fma.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)))) (-.f64 y z)) |
| Outputs |
|---|
(-.f64 (-.f64 x (-.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) y)) z) |
5 calls:
| 205.0ms | y |
| 23.0ms | (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) |
| 22.0ms | z |
| 21.0ms | (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) |
| 21.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | x |
| 99.8% | 1 | y |
| 99.8% | 1 | z |
| 99.8% | 1 | (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) |
| 99.8% | 1 | (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) |
Compiled 40 to 28 computations (30% saved)
| Inputs |
|---|
x |
(neg.f64 z) |
(-.f64 #s(literal 0 binary64) z) |
(-.f64 x z) |
(*.f64 z (/.f64 x z)) |
(-.f64 (+.f64 x y) z) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z x))) |
(*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 x z))) |
(/.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x z))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) z) |
(*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 z x)))) |
(*.f64 z (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) x) #s(literal -1 binary64))) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) z)) |
(/.f64 #s(literal 1 binary64) (/.f64 z (-.f64 #s(literal 0 binary64) (*.f64 z z)))) |
(*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) z)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z))) (*.f64 z z)) |
(*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z z) (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 x z) (/.f64 z x))) z) #s(literal -1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (/.f64 x z))) (-.f64 #s(literal -1 binary64) (/.f64 x z))) |
(*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 x (/.f64 #s(literal 1 binary64) z))))) |
(*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 z z))) z))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (*.f64 z z) x))) z) (-.f64 #s(literal -1 binary64) (/.f64 x z))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 x z) (/.f64 z x))) z) (-.f64 #s(literal -1 binary64) (/.f64 x z))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 x z) (/.f64 z x))) z) (-.f64 #s(literal 0 binary64) (/.f64 x z))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (/.f64 z x)) z)) z) (-.f64 #s(literal -1 binary64) (/.f64 x z))) |
(*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z)))) (*.f64 z z)))) |
(/.f64 (-.f64 (*.f64 z z) (*.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64)))) (-.f64 (-.f64 #s(literal 0 binary64) z) (*.f64 x #s(literal 1 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 z x) (-.f64 #s(literal 0 binary64) (/.f64 z x))))) z) (-.f64 #s(literal -1 binary64) (/.f64 x z))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 x z) (/.f64 z x))) z) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (*.f64 z z) x))) (+.f64 #s(literal -1 binary64) (/.f64 x z)))) |
(/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1 binary64))) (+.f64 (*.f64 z z) (-.f64 (*.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) z) (*.f64 x #s(literal 1 binary64)))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 z (*.f64 z z)) (/.f64 (*.f64 z (*.f64 z z)) (*.f64 x (*.f64 x x)))))) (/.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x z)))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (/.f64 (*.f64 z z) x)) (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (*.f64 z z) x)))))) |
(*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y))) |
(+.f64 x (*.f64 (log.f64 y) #s(literal -1/2 binary64))) |
(-.f64 x (*.f64 (log.f64 y) y)) |
(-.f64 y (*.f64 (log.f64 y) y)) |
(+.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y)))) |
(-.f64 x (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))) |
(-.f64 y (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))) |
(-.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y))) z) |
(-.f64 (+.f64 x (*.f64 (log.f64 y) #s(literal -1/2 binary64))) z) |
(-.f64 (+.f64 y x) (*.f64 (log.f64 y) y)) |
(-.f64 (-.f64 x (*.f64 (log.f64 y) #s(literal 1/2 binary64))) z) |
(*.f64 z (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) (/.f64 y z))) |
(+.f64 (+.f64 y x) (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y))) |
(-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))) |
(-.f64 (-.f64 x (*.f64 y (+.f64 (log.f64 y) #s(literal -1 binary64)))) z) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (log.f64 y))) y)) |
(-.f64 (+.f64 y x) (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64))))) |
(-.f64 (+.f64 y x) (/.f64 (+.f64 y #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 y)))) |
(-.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) |
5 calls:
| 31.0ms | (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) |
| 26.0ms | y |
| 20.0ms | z |
| 14.0ms | (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) |
| 14.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | x |
| 99.8% | 1 | y |
| 99.8% | 1 | z |
| 99.8% | 1 | (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) |
| 99.8% | 1 | (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) |
Compiled 40 to 28 computations (30% saved)
| Inputs |
|---|
x |
(neg.f64 z) |
(-.f64 #s(literal 0 binary64) z) |
(-.f64 x z) |
(*.f64 z (/.f64 x z)) |
(-.f64 (+.f64 x y) z) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z x))) |
(*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 x z))) |
(/.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x z))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) z) |
(*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 z x)))) |
(*.f64 z (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) x) #s(literal -1 binary64))) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) z)) |
(/.f64 #s(literal 1 binary64) (/.f64 z (-.f64 #s(literal 0 binary64) (*.f64 z z)))) |
(*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) z)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z))) (*.f64 z z)) |
(*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z z) (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 x z) (/.f64 z x))) z) #s(literal -1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (/.f64 x z))) (-.f64 #s(literal -1 binary64) (/.f64 x z))) |
(*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 x (/.f64 #s(literal 1 binary64) z))))) |
(*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 z z))) z))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (*.f64 z z) x))) z) (-.f64 #s(literal -1 binary64) (/.f64 x z))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 x z) (/.f64 z x))) z) (-.f64 #s(literal -1 binary64) (/.f64 x z))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 x z) (/.f64 z x))) z) (-.f64 #s(literal 0 binary64) (/.f64 x z))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (/.f64 z x)) z)) z) (-.f64 #s(literal -1 binary64) (/.f64 x z))) |
(*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z)))) (*.f64 z z)))) |
(/.f64 (-.f64 (*.f64 z z) (*.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64)))) (-.f64 (-.f64 #s(literal 0 binary64) z) (*.f64 x #s(literal 1 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 z x) (-.f64 #s(literal 0 binary64) (/.f64 z x))))) z) (-.f64 #s(literal -1 binary64) (/.f64 x z))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 x z) (/.f64 z x))) z) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (*.f64 z z) x))) (+.f64 #s(literal -1 binary64) (/.f64 x z)))) |
(/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1 binary64))) (+.f64 (*.f64 z z) (-.f64 (*.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) z) (*.f64 x #s(literal 1 binary64)))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 z (*.f64 z z)) (/.f64 (*.f64 z (*.f64 z z)) (*.f64 x (*.f64 x x)))))) (/.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x z)))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (/.f64 (*.f64 z z) x)) (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (*.f64 z z) x)))))) |
(*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y))) |
(+.f64 x (*.f64 (log.f64 y) #s(literal -1/2 binary64))) |
(-.f64 x (*.f64 (log.f64 y) y)) |
(-.f64 y (*.f64 (log.f64 y) y)) |
(+.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y)))) |
(-.f64 x (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))) |
(-.f64 y (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))) |
(-.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y))) z) |
(-.f64 (+.f64 x (*.f64 (log.f64 y) #s(literal -1/2 binary64))) z) |
(-.f64 (+.f64 y x) (*.f64 (log.f64 y) y)) |
(-.f64 (-.f64 x (*.f64 (log.f64 y) #s(literal 1/2 binary64))) z) |
(*.f64 z (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) (/.f64 y z))) |
(+.f64 (+.f64 y x) (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y))) |
(-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))) |
(-.f64 (-.f64 x (*.f64 y (+.f64 (log.f64 y) #s(literal -1 binary64)))) z) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (log.f64 y))) y)) |
(-.f64 (+.f64 y x) (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64))))) |
(-.f64 (+.f64 y x) (/.f64 (+.f64 y #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 y)))) |
| Outputs |
|---|
(-.f64 (+.f64 x (*.f64 (log.f64 y) #s(literal -1/2 binary64))) z) |
(-.f64 (-.f64 x (*.f64 y (+.f64 (log.f64 y) #s(literal -1 binary64)))) z) |
3 calls:
| 22.0ms | y |
| 16.0ms | z |
| 16.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 85.9% | 1 | x |
| 99.6% | 2 | y |
| 99.0% | 3 | z |
Compiled 12 to 9 computations (25% saved)
| Inputs |
|---|
x |
(neg.f64 z) |
(-.f64 #s(literal 0 binary64) z) |
(-.f64 x z) |
(*.f64 z (/.f64 x z)) |
(-.f64 (+.f64 x y) z) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z x))) |
(*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 x z))) |
(/.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x z))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) z) |
(*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 z x)))) |
(*.f64 z (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) x) #s(literal -1 binary64))) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) z)) |
(/.f64 #s(literal 1 binary64) (/.f64 z (-.f64 #s(literal 0 binary64) (*.f64 z z)))) |
(*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) z)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z))) (*.f64 z z)) |
(*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z z) (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 x z) (/.f64 z x))) z) #s(literal -1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (/.f64 x z))) (-.f64 #s(literal -1 binary64) (/.f64 x z))) |
(*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 x (/.f64 #s(literal 1 binary64) z))))) |
(*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 z z))) z))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (*.f64 z z) x))) z) (-.f64 #s(literal -1 binary64) (/.f64 x z))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 x z) (/.f64 z x))) z) (-.f64 #s(literal -1 binary64) (/.f64 x z))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 x z) (/.f64 z x))) z) (-.f64 #s(literal 0 binary64) (/.f64 x z))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (/.f64 z x)) z)) z) (-.f64 #s(literal -1 binary64) (/.f64 x z))) |
(*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z)))) (*.f64 z z)))) |
(/.f64 (-.f64 (*.f64 z z) (*.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64)))) (-.f64 (-.f64 #s(literal 0 binary64) z) (*.f64 x #s(literal 1 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 z x) (-.f64 #s(literal 0 binary64) (/.f64 z x))))) z) (-.f64 #s(literal -1 binary64) (/.f64 x z))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 x z) (/.f64 z x))) z) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (*.f64 z z) x))) (+.f64 #s(literal -1 binary64) (/.f64 x z)))) |
(/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1 binary64))) (+.f64 (*.f64 z z) (-.f64 (*.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) z) (*.f64 x #s(literal 1 binary64)))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 z (*.f64 z z)) (/.f64 (*.f64 z (*.f64 z z)) (*.f64 x (*.f64 x x)))))) (/.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x z)))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (/.f64 (*.f64 z z) x)) (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (*.f64 z z) x)))))) |
(*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y))) |
(+.f64 x (*.f64 (log.f64 y) #s(literal -1/2 binary64))) |
(-.f64 x (*.f64 (log.f64 y) y)) |
(-.f64 y (*.f64 (log.f64 y) y)) |
(+.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y)))) |
(-.f64 x (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))) |
(-.f64 y (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))) |
(-.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y))) z) |
(-.f64 (+.f64 x (*.f64 (log.f64 y) #s(literal -1/2 binary64))) z) |
(-.f64 (+.f64 y x) (*.f64 (log.f64 y) y)) |
(-.f64 (-.f64 x (*.f64 (log.f64 y) #s(literal 1/2 binary64))) z) |
(*.f64 z (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) (/.f64 y z))) |
(+.f64 (+.f64 y x) (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y))) |
(-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))) |
| Outputs |
|---|
(-.f64 (+.f64 x (*.f64 (log.f64 y) #s(literal -1/2 binary64))) z) |
(+.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y)))) |
2 calls:
| 15.0ms | z |
| 14.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.4% | 3 | z |
| 92.0% | 2 | y |
Compiled 8 to 6 computations (25% saved)
| Inputs |
|---|
x |
(neg.f64 z) |
(-.f64 #s(literal 0 binary64) z) |
(-.f64 x z) |
(*.f64 z (/.f64 x z)) |
(-.f64 (+.f64 x y) z) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z x))) |
(*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 x z))) |
(/.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x z))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) z) |
(*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 z x)))) |
(*.f64 z (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) x) #s(literal -1 binary64))) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) z)) |
(/.f64 #s(literal 1 binary64) (/.f64 z (-.f64 #s(literal 0 binary64) (*.f64 z z)))) |
(*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) z)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z))) (*.f64 z z)) |
(*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z z) (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 x z) (/.f64 z x))) z) #s(literal -1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (/.f64 x z))) (-.f64 #s(literal -1 binary64) (/.f64 x z))) |
(*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 x (/.f64 #s(literal 1 binary64) z))))) |
(*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 z z))) z))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (*.f64 z z) x))) z) (-.f64 #s(literal -1 binary64) (/.f64 x z))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 x z) (/.f64 z x))) z) (-.f64 #s(literal -1 binary64) (/.f64 x z))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 x z) (/.f64 z x))) z) (-.f64 #s(literal 0 binary64) (/.f64 x z))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (/.f64 z x)) z)) z) (-.f64 #s(literal -1 binary64) (/.f64 x z))) |
(*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z)))) (*.f64 z z)))) |
(/.f64 (-.f64 (*.f64 z z) (*.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64)))) (-.f64 (-.f64 #s(literal 0 binary64) z) (*.f64 x #s(literal 1 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 z x) (-.f64 #s(literal 0 binary64) (/.f64 z x))))) z) (-.f64 #s(literal -1 binary64) (/.f64 x z))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 x z) (/.f64 z x))) z) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (*.f64 z z) x))) (+.f64 #s(literal -1 binary64) (/.f64 x z)))) |
(/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1 binary64))) (+.f64 (*.f64 z z) (-.f64 (*.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) z) (*.f64 x #s(literal 1 binary64)))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 z (*.f64 z z)) (/.f64 (*.f64 z (*.f64 z z)) (*.f64 x (*.f64 x x)))))) (/.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x z)))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (/.f64 (*.f64 z z) x)) (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (*.f64 z z) x)))))) |
(*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y))) |
(+.f64 x (*.f64 (log.f64 y) #s(literal -1/2 binary64))) |
(-.f64 x (*.f64 (log.f64 y) y)) |
(-.f64 y (*.f64 (log.f64 y) y)) |
(+.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y)))) |
(-.f64 x (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))) |
(-.f64 y (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))) |
(-.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y))) z) |
| Outputs |
|---|
(-.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y))) z) |
(-.f64 x (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))) |
(+.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y)))) |
(-.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y))) z) |
3 calls:
| 18.0ms | y |
| 12.0ms | x |
| 12.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 81.0% | 4 | x |
| 82.3% | 4 | z |
| 82.0% | 4 | y |
Compiled 12 to 9 computations (25% saved)
| Inputs |
|---|
x |
(neg.f64 z) |
(-.f64 #s(literal 0 binary64) z) |
(-.f64 x z) |
(*.f64 z (/.f64 x z)) |
(-.f64 (+.f64 x y) z) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z x))) |
(*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 x z))) |
(/.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x z))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) z) |
(*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 z x)))) |
(*.f64 z (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) x) #s(literal -1 binary64))) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) z)) |
(/.f64 #s(literal 1 binary64) (/.f64 z (-.f64 #s(literal 0 binary64) (*.f64 z z)))) |
(*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) z)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z))) (*.f64 z z)) |
(*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z z) (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 x z) (/.f64 z x))) z) #s(literal -1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (/.f64 x z))) (-.f64 #s(literal -1 binary64) (/.f64 x z))) |
(*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 x (/.f64 #s(literal 1 binary64) z))))) |
(*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 z z))) z))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (*.f64 z z) x))) z) (-.f64 #s(literal -1 binary64) (/.f64 x z))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 x z) (/.f64 z x))) z) (-.f64 #s(literal -1 binary64) (/.f64 x z))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 x z) (/.f64 z x))) z) (-.f64 #s(literal 0 binary64) (/.f64 x z))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (/.f64 z x)) z)) z) (-.f64 #s(literal -1 binary64) (/.f64 x z))) |
(*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z)))) (*.f64 z z)))) |
(/.f64 (-.f64 (*.f64 z z) (*.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64)))) (-.f64 (-.f64 #s(literal 0 binary64) z) (*.f64 x #s(literal 1 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 z x) (-.f64 #s(literal 0 binary64) (/.f64 z x))))) z) (-.f64 #s(literal -1 binary64) (/.f64 x z))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 x z) (/.f64 z x))) z) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (*.f64 z z) x))) (+.f64 #s(literal -1 binary64) (/.f64 x z)))) |
(/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1 binary64))) (+.f64 (*.f64 z z) (-.f64 (*.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) z) (*.f64 x #s(literal 1 binary64)))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 z (*.f64 z z)) (/.f64 (*.f64 z (*.f64 z z)) (*.f64 x (*.f64 x x)))))) (/.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x z)))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (/.f64 (*.f64 z z) x)) (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (*.f64 z z) x)))))) |
(*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y))) |
(+.f64 x (*.f64 (log.f64 y) #s(literal -1/2 binary64))) |
(-.f64 x (*.f64 (log.f64 y) y)) |
(-.f64 y (*.f64 (log.f64 y) y)) |
(+.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y)))) |
(-.f64 x (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))) |
(-.f64 y (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))) |
| Outputs |
|---|
(-.f64 x z) |
(+.f64 x (*.f64 (log.f64 y) #s(literal -1/2 binary64))) |
(-.f64 (+.f64 x y) z) |
(+.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y)))) |
2 calls:
| 12.0ms | z |
| 11.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 82.0% | 4 | y |
| 81.7% | 5 | z |
Compiled 8 to 6 computations (25% saved)
| Inputs |
|---|
x |
(neg.f64 z) |
(-.f64 #s(literal 0 binary64) z) |
(-.f64 x z) |
(*.f64 z (/.f64 x z)) |
(-.f64 (+.f64 x y) z) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z x))) |
(*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 x z))) |
(/.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x z))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) z) |
(*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 z x)))) |
(*.f64 z (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) x) #s(literal -1 binary64))) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) z)) |
(/.f64 #s(literal 1 binary64) (/.f64 z (-.f64 #s(literal 0 binary64) (*.f64 z z)))) |
(*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) z)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z))) (*.f64 z z)) |
(*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z z) (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 x z) (/.f64 z x))) z) #s(literal -1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (/.f64 x z))) (-.f64 #s(literal -1 binary64) (/.f64 x z))) |
(*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 x (/.f64 #s(literal 1 binary64) z))))) |
(*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 z z))) z))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (*.f64 z z) x))) z) (-.f64 #s(literal -1 binary64) (/.f64 x z))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 x z) (/.f64 z x))) z) (-.f64 #s(literal -1 binary64) (/.f64 x z))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 x z) (/.f64 z x))) z) (-.f64 #s(literal 0 binary64) (/.f64 x z))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (/.f64 z x)) z)) z) (-.f64 #s(literal -1 binary64) (/.f64 x z))) |
(*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z)))) (*.f64 z z)))) |
(/.f64 (-.f64 (*.f64 z z) (*.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64)))) (-.f64 (-.f64 #s(literal 0 binary64) z) (*.f64 x #s(literal 1 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 z x) (-.f64 #s(literal 0 binary64) (/.f64 z x))))) z) (-.f64 #s(literal -1 binary64) (/.f64 x z))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 x z) (/.f64 z x))) z) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (*.f64 z z) x))) (+.f64 #s(literal -1 binary64) (/.f64 x z)))) |
(/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1 binary64))) (+.f64 (*.f64 z z) (-.f64 (*.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) z) (*.f64 x #s(literal 1 binary64)))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 z (*.f64 z z)) (/.f64 (*.f64 z (*.f64 z z)) (*.f64 x (*.f64 x x)))))) (/.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x z)))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (/.f64 (*.f64 z z) x)) (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (*.f64 z z) x)))))) |
(*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y))) |
(+.f64 x (*.f64 (log.f64 y) #s(literal -1/2 binary64))) |
(-.f64 x (*.f64 (log.f64 y) y)) |
(-.f64 y (*.f64 (log.f64 y) y)) |
| Outputs |
|---|
(-.f64 x z) |
(+.f64 x (*.f64 (log.f64 y) #s(literal -1/2 binary64))) |
(-.f64 x z) |
(*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y))) |
3 calls:
| 11.0ms | x |
| 11.0ms | z |
| 10.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 71.6% | 3 | z |
| 62.3% | 3 | x |
| 77.2% | 4 | y |
Compiled 12 to 9 computations (25% saved)
| Inputs |
|---|
x |
(neg.f64 z) |
(-.f64 #s(literal 0 binary64) z) |
(-.f64 x z) |
(*.f64 z (/.f64 x z)) |
(-.f64 (+.f64 x y) z) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z x))) |
(*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 x z))) |
(/.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x z))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) z) |
(*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 z x)))) |
(*.f64 z (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) x) #s(literal -1 binary64))) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) z)) |
(/.f64 #s(literal 1 binary64) (/.f64 z (-.f64 #s(literal 0 binary64) (*.f64 z z)))) |
(*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) z)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z))) (*.f64 z z)) |
(*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z z) (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 x z) (/.f64 z x))) z) #s(literal -1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (/.f64 x z))) (-.f64 #s(literal -1 binary64) (/.f64 x z))) |
(*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 x (/.f64 #s(literal 1 binary64) z))))) |
(*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 z z))) z))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (*.f64 z z) x))) z) (-.f64 #s(literal -1 binary64) (/.f64 x z))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 x z) (/.f64 z x))) z) (-.f64 #s(literal -1 binary64) (/.f64 x z))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 x z) (/.f64 z x))) z) (-.f64 #s(literal 0 binary64) (/.f64 x z))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (/.f64 z x)) z)) z) (-.f64 #s(literal -1 binary64) (/.f64 x z))) |
(*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z)))) (*.f64 z z)))) |
(/.f64 (-.f64 (*.f64 z z) (*.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64)))) (-.f64 (-.f64 #s(literal 0 binary64) z) (*.f64 x #s(literal 1 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 z x) (-.f64 #s(literal 0 binary64) (/.f64 z x))))) z) (-.f64 #s(literal -1 binary64) (/.f64 x z))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 x z) (/.f64 z x))) z) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (*.f64 z z) x))) (+.f64 #s(literal -1 binary64) (/.f64 x z)))) |
(/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1 binary64))) (+.f64 (*.f64 z z) (-.f64 (*.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) z) (*.f64 x #s(literal 1 binary64)))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 z (*.f64 z z)) (/.f64 (*.f64 z (*.f64 z z)) (*.f64 x (*.f64 x x)))))) (/.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x z)))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (/.f64 (*.f64 z z) x)) (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (*.f64 z z) x)))))) |
(*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y))) |
| Outputs |
|---|
(-.f64 (+.f64 x y) z) |
(*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y))) |
1 calls:
| 10.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 73.3% | 2 | y |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
x |
(neg.f64 z) |
(-.f64 #s(literal 0 binary64) z) |
(-.f64 x z) |
(*.f64 z (/.f64 x z)) |
(-.f64 (+.f64 x y) z) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z x))) |
(*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 x z))) |
(/.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x z))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) z) |
(*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 z x)))) |
(*.f64 z (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) x) #s(literal -1 binary64))) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) z)) |
(/.f64 #s(literal 1 binary64) (/.f64 z (-.f64 #s(literal 0 binary64) (*.f64 z z)))) |
(*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) z)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z))) (*.f64 z z)) |
(*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z z) (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 x z) (/.f64 z x))) z) #s(literal -1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (/.f64 x z))) (-.f64 #s(literal -1 binary64) (/.f64 x z))) |
(*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 x (/.f64 #s(literal 1 binary64) z))))) |
(*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 z z))) z))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (*.f64 z z) x))) z) (-.f64 #s(literal -1 binary64) (/.f64 x z))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 x z) (/.f64 z x))) z) (-.f64 #s(literal -1 binary64) (/.f64 x z))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 x z) (/.f64 z x))) z) (-.f64 #s(literal 0 binary64) (/.f64 x z))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (/.f64 z x)) z)) z) (-.f64 #s(literal -1 binary64) (/.f64 x z))) |
(*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z)))) (*.f64 z z)))) |
(/.f64 (-.f64 (*.f64 z z) (*.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64)))) (-.f64 (-.f64 #s(literal 0 binary64) z) (*.f64 x #s(literal 1 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 z x) (-.f64 #s(literal 0 binary64) (/.f64 z x))))) z) (-.f64 #s(literal -1 binary64) (/.f64 x z))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 x z) (/.f64 z x))) z) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (*.f64 z z) x))) (+.f64 #s(literal -1 binary64) (/.f64 x z)))) |
(/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1 binary64))) (+.f64 (*.f64 z z) (-.f64 (*.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) z) (*.f64 x #s(literal 1 binary64)))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 z (*.f64 z z)) (/.f64 (*.f64 z (*.f64 z z)) (*.f64 x (*.f64 x x)))))) (/.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x z)))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (/.f64 (*.f64 z z) x)) (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (*.f64 z z) x)))))) |
| Outputs |
|---|
(-.f64 x z) |
3 calls:
| 11.0ms | z |
| 9.0ms | x |
| 9.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 58.3% | 1 | x |
| 58.3% | 1 | z |
| 58.3% | 1 | y |
Compiled 12 to 9 computations (25% saved)
| Inputs |
|---|
x |
(neg.f64 z) |
(-.f64 #s(literal 0 binary64) z) |
| Outputs |
|---|
(neg.f64 z) |
x |
(neg.f64 z) |
3 calls:
| 3.0ms | z |
| 2.0ms | y |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 50.2% | 3 | x |
| 36.3% | 3 | y |
| 51.1% | 3 | z |
Compiled 12 to 9 computations (25% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
x |
| Outputs |
|---|
x |
3 calls:
| 1.0ms | x |
| 1.0ms | z |
| 1.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 28.4% | 1 | y |
| 28.4% | 1 | x |
| 28.4% | 1 | z |
Compiled 12 to 9 computations (25% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 14.0ms | 4.985413518715601e-6 | 15103.360667427438 |
| 9.0ms | 144× | 0 | valid |
Compiled 252 to 187 computations (25.8% saved)
ival-log: 2.0ms (37% of total)ival-sub: 1.0ms (18.5% of total)ival-add: 1.0ms (18.5% of total)ival-mult: 1.0ms (18.5% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 12.0ms | 5.5274595067990685e+103 | 1.628225616135888e+105 |
| 8.0ms | 112× | 0 | valid |
Compiled 186 to 142 computations (23.7% saved)
ival-log: 2.0ms (38.1% of total)ival-sub: 1.0ms (19% of total)ival-add: 1.0ms (19% of total)ival-mult: 1.0ms (19% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 17.0ms | 1214048555482593300.0 | 3.225098168568121e+31 |
| 12.0ms | -3.326396388127136e-275 | -1.4890593003078903e-277 |
| 12.0ms | -5.6673735477861365e+20 | -638330557980373800.0 |
| 29.0ms | 400× | 0 | valid |
Compiled 618 to 466 computations (24.6% saved)
ival-sub: 5.0ms (29.5% of total)ival-log: 5.0ms (29.5% of total)ival-add: 4.0ms (23.6% of total)ival-mult: 3.0ms (17.7% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 25.0ms | 5.5274595067990685e+103 | 1.628225616135888e+105 |
| 10.0ms | 5.774946302340366e-107 | 1.1713196270352575e-105 |
| 12.0ms | 9.81888994712974e-204 | 2.6739987053196067e-202 |
| 37.0ms | 336× | 0 | valid |
Compiled 417 to 310 computations (25.7% saved)
ival-log: 4.0ms (31.7% of total)ival-sub: 3.0ms (23.7% of total)ival-add: 3.0ms (23.7% of total)ival-mult: 2.0ms (15.8% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 38.0ms | 3.99609549791239e+126 | 2.63303262005321e+129 |
| 10.0ms | 5.774946302340366e-107 | 1.1713196270352575e-105 |
| 10.0ms | 9.81888994712974e-204 | 2.6739987053196067e-202 |
| 22.0ms | 352× | 0 | valid |
Compiled 392 to 302 computations (23% saved)
ival-log: 4.0ms (30.2% of total)ival-sub: 3.0ms (22.7% of total)ival-add: 3.0ms (22.7% of total)ival-mult: 2.0ms (15.1% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 12.0ms | 3.99609549791239e+126 | 2.63303262005321e+129 |
| 8.0ms | 128× | 0 | valid |
Compiled 170 to 128 computations (24.7% saved)
ival-sub: 1.0ms (21.4% of total)ival-log: 1.0ms (21.4% of total)ival-add: 1.0ms (21.4% of total)ival-mult: 1.0ms (21.4% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 14.0ms | 108352256.45836468 | 4016521398784201.5 |
| 36.0ms | -7.78065992588657e+45 | -1.9253976298201352e+32 |
| 40.0ms | 304× | 0 | valid |
Compiled 227 to 187 computations (17.6% saved)
ival-log: 4.0ms (33.4% of total)ival-sub: 3.0ms (25% of total)ival-add: 3.0ms (25% of total)ival-mult: 2.0ms (16.7% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 208× | unsub-neg_binary64 |
| 124× | distribute-lft-neg-in_binary64 |
| 106× | neg-mul-1_binary64 |
| 76× | +-commutative_binary64 |
| 70× | sub-neg_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 75 | 205 |
| 1 | 119 | 205 |
| 2 | 157 | 205 |
| 3 | 185 | 205 |
| 4 | 228 | 205 |
| 5 | 280 | 205 |
| 6 | 331 | 205 |
| 7 | 406 | 205 |
| 8 | 508 | 205 |
| 9 | 543 | 205 |
| 10 | 577 | 205 |
| 11 | 607 | 205 |
| 12 | 615 | 205 |
| 13 | 621 | 205 |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (-.f64 x (-.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) y)) z) |
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) |
(if (<=.f64 y #s(literal 1261007895663739/4503599627370496 binary64)) (-.f64 (+.f64 x (*.f64 (log.f64 y) #s(literal -1/2 binary64))) z) (-.f64 (-.f64 x (*.f64 y (+.f64 (log.f64 y) #s(literal -1 binary64)))) z)) |
(if (<=.f64 y #s(literal 58999999999999998521590473547028200539518158438819640336555724809850684318550610543602542121275837382656 binary64)) (-.f64 (+.f64 x (*.f64 (log.f64 y) #s(literal -1/2 binary64))) z) (+.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y))))) |
(if (<=.f64 z #s(literal -19000000000000000000 binary64)) (-.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y))) z) (if (<=.f64 z #s(literal -5488560851220479/4989600773836799529140931782592096415168628151088643853756368106093029729672410164462394913731589252723356117110481238109931094970983984151847929495712078550800014182377714191293844303610907467956633391861359809983327026137802175972222138171120110393767802267189390104105896238075860024819712 binary64)) (-.f64 x (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))) (if (<=.f64 z #s(literal 389999999999999985940692992 binary64)) (+.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y)))) (-.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y))) z)))) |
(if (<=.f64 y #s(literal 8119040131286125/88250436209631796779659651318894620729729809745361797646356310339459182198787453122058560031100937405340558296821374893066353027058699717113329784015217065825962377858834878767894752265396985241367417483713579073929216 binary64)) (-.f64 x z) (if (<=.f64 y #s(literal 2685539873210385/41315998049390537434494706752048189989275292685267576205290549704650361952269459114074325652482205302974450751563959894016 binary64)) (+.f64 x (*.f64 (log.f64 y) #s(literal -1/2 binary64))) (if (<=.f64 y #s(literal 700000000000000033169659690240613213295632470482168174236156111249819443132486650335073110377862260588544 binary64)) (-.f64 (+.f64 x y) z) (+.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y))))))) |
(if (<=.f64 y #s(literal 2261417427871815/11031304526203974597457456414861827591216226218170224705794538792432397774848431640257320003887617175667569787102671861633294128382337464639166223001902133228245297232354359845986844033174623155170927185464197384241152 binary64)) (-.f64 x z) (if (<=.f64 y #s(literal 2737184870772123/10328999512347634358623676688012047497318823171316894051322637426162590488067364778518581413120551325743612687890989973504 binary64)) (+.f64 x (*.f64 (log.f64 y) #s(literal -1/2 binary64))) (if (<=.f64 y #s(literal 7999999999999999398942092951943056340357366958678707691513807777802353599806344212825307950102541230012240467309244258262712320 binary64)) (-.f64 x z) (*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y)))))) |
(if (<=.f64 y #s(literal 259999999999999981066844922128250637401321458935128278982373485299106378894772675629068018807672351502104758774051226369713504256 binary64)) (-.f64 (+.f64 x y) z) (*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y)))) |
(-.f64 x z) |
(if (<=.f64 z #s(literal -229999999999999984017488081143130019069952 binary64)) (neg.f64 z) (if (<=.f64 z #s(literal 5000000000000 binary64)) x (neg.f64 z))) |
x |
| Outputs |
|---|
(-.f64 (-.f64 x (-.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) y)) z) |
(-.f64 (+.f64 x (-.f64 y (*.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) |
(-.f64 (+.f64 y (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)))) z) |
(if (<=.f64 y #s(literal 1261007895663739/4503599627370496 binary64)) (-.f64 (+.f64 x (*.f64 (log.f64 y) #s(literal -1/2 binary64))) z) (-.f64 (-.f64 x (*.f64 y (+.f64 (log.f64 y) #s(literal -1 binary64)))) z)) |
(if (<=.f64 y #s(literal 1261007895663739/4503599627370496 binary64)) (-.f64 (+.f64 x (*.f64 (log.f64 y) #s(literal -1/2 binary64))) z) (-.f64 (+.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y)))) z)) |
(if (<=.f64 y #s(literal 58999999999999998521590473547028200539518158438819640336555724809850684318550610543602542121275837382656 binary64)) (-.f64 (+.f64 x (*.f64 (log.f64 y) #s(literal -1/2 binary64))) z) (+.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y))))) |
(if (<=.f64 z #s(literal -19000000000000000000 binary64)) (-.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y))) z) (if (<=.f64 z #s(literal -5488560851220479/4989600773836799529140931782592096415168628151088643853756368106093029729672410164462394913731589252723356117110481238109931094970983984151847929495712078550800014182377714191293844303610907467956633391861359809983327026137802175972222138171120110393767802267189390104105896238075860024819712 binary64)) (-.f64 x (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))) (if (<=.f64 z #s(literal 389999999999999985940692992 binary64)) (+.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y)))) (-.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y))) z)))) |
(if (<=.f64 z #s(literal -19000000000000000000 binary64)) (-.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y))) z) (if (<=.f64 z #s(literal -5488560851220479/4989600773836799529140931782592096415168628151088643853756368106093029729672410164462394913731589252723356117110481238109931094970983984151847929495712078550800014182377714191293844303610907467956633391861359809983327026137802175972222138171120110393767802267189390104105896238075860024819712 binary64)) (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) (if (<=.f64 z #s(literal 389999999999999985940692992 binary64)) (+.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y)))) (-.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y))) z)))) |
(if (<=.f64 y #s(literal 8119040131286125/88250436209631796779659651318894620729729809745361797646356310339459182198787453122058560031100937405340558296821374893066353027058699717113329784015217065825962377858834878767894752265396985241367417483713579073929216 binary64)) (-.f64 x z) (if (<=.f64 y #s(literal 2685539873210385/41315998049390537434494706752048189989275292685267576205290549704650361952269459114074325652482205302974450751563959894016 binary64)) (+.f64 x (*.f64 (log.f64 y) #s(literal -1/2 binary64))) (if (<=.f64 y #s(literal 700000000000000033169659690240613213295632470482168174236156111249819443132486650335073110377862260588544 binary64)) (-.f64 (+.f64 x y) z) (+.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y))))))) |
(if (<=.f64 y #s(literal 2261417427871815/11031304526203974597457456414861827591216226218170224705794538792432397774848431640257320003887617175667569787102671861633294128382337464639166223001902133228245297232354359845986844033174623155170927185464197384241152 binary64)) (-.f64 x z) (if (<=.f64 y #s(literal 2737184870772123/10328999512347634358623676688012047497318823171316894051322637426162590488067364778518581413120551325743612687890989973504 binary64)) (+.f64 x (*.f64 (log.f64 y) #s(literal -1/2 binary64))) (if (<=.f64 y #s(literal 7999999999999999398942092951943056340357366958678707691513807777802353599806344212825307950102541230012240467309244258262712320 binary64)) (-.f64 x z) (*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y)))))) |
(if (<=.f64 y #s(literal 259999999999999981066844922128250637401321458935128278982373485299106378894772675629068018807672351502104758774051226369713504256 binary64)) (-.f64 (+.f64 x y) z) (*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y)))) |
(-.f64 x z) |
(if (<=.f64 z #s(literal -229999999999999984017488081143130019069952 binary64)) (neg.f64 z) (if (<=.f64 z #s(literal 5000000000000 binary64)) x (neg.f64 z))) |
(if (<=.f64 z #s(literal -229999999999999984017488081143130019069952 binary64)) (-.f64 #s(literal 0 binary64) z) (if (<=.f64 z #s(literal 5000000000000 binary64)) x (-.f64 #s(literal 0 binary64) z))) |
x |
| 17 462× | accelerator-lowering-fma.f32 |
| 17 462× | accelerator-lowering-fma.f64 |
| 12 810× | accelerator-lowering-fma.f32 |
| 12 810× | accelerator-lowering-fma.f64 |
| 10 946× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 289 | 5505 |
| 1 | 930 | 5193 |
| 2 | 3030 | 4830 |
| 0 | 8176 | 4650 |
| 0 | 525 | 5676 |
| 1 | 1700 | 5315 |
| 2 | 5557 | 5179 |
| 0 | 8354 | 4915 |
| 0 | 30 | 161 |
| 1 | 249 | 129 |
| 2 | 2474 | 128 |
| 0 | 9441 | 121 |
| 0 | 246 | 3854 |
| 1 | 750 | 3560 |
| 2 | 2232 | 3323 |
| 3 | 6593 | 3275 |
| 0 | 8321 | 3148 |
| 0 | 127 | 1274 |
| 1 | 415 | 1196 |
| 2 | 1319 | 1105 |
| 3 | 4703 | 1074 |
| 0 | 8540 | 991 |
| 0 | 10 | 36 |
| 1 | 73 | 36 |
| 2 | 693 | 36 |
| 0 | 8827 | 33 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 621 to 355 computations (42.8% saved)
Compiled 482 to 180 computations (62.7% saved)
Loading profile data...