
Time bar (total: 10.6s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 100% | 49.9% | 0% | 0.1% | 0% | 49.9% | 0% | 3 |
Compiled 14 to 12 computations (14.3% saved)
| 666.0ms | 8 254× | 0 | valid |
| 0.0ms | 1× | 2 | valid |
| 0.0ms | 1× | 1 | valid |
ival-sub: 141.0ms (30.8% of total)ival-add: 128.0ms (27.9% of total)ival-log: 114.0ms (24.9% of total)ival-mult: 61.0ms (13.3% of total)ival-true: 6.0ms (1.3% of total)exact: 5.0ms (1.1% of total)ival-assert: 3.0ms (0.7% 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 y) (fma.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y) z)) |
| 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 |
| 44.0ms | 512× | 0 | valid |
Compiled 124 to 44 computations (64.5% saved)
ival-log: 11.0ms (43.5% of total)ival-sub: 5.0ms (19.8% of total)ival-add: 5.0ms (19.8% of total)ival-mult: 3.0ms (11.9% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)Compiled 3 to 3 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.8% | (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) |
Compiled 15 to 10 computations (33.3% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) |
| ✓ | cost-diff | 0 | (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) |
| ✓ | cost-diff | 0 | (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) |
| ✓ | cost-diff | 128 | (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) |
| 4 224× | 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 y) (fma.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y) z)) |
(+ (- x (* (+ y 1/2) (log y))) y) |
(fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) (+.f64 x y)) |
(- x (* (+ y 1/2) (log y))) |
(fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x) |
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 | 99.8% | (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) |
| ✓ | accuracy | 99.7% | (*.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: 4.0ms (36.4% of total)ival-add: 3.0ms (27.3% of total)ival-sub: 2.0ms (18.2% of total)ival-mult: 2.0ms (18.2% 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)))> |
#<alt (- (+ (- x (* (+ y 1/2) (log y))) y) z)> |
#<alt (+ (- x (* (+ y 1/2) (log y))) y)> |
#<alt (* (+ y 1/2) (log y))> |
| Outputs |
|---|
#<alt (* -1 (* (log y) (+ 1/2 y)))> |
#<alt (- x (* (log y) (+ 1/2 y)))> |
#<alt (- x (* (log y) (+ 1/2 y)))> |
#<alt (- x (* (log y) (+ 1/2 y)))> |
#<alt x> |
#<alt (* x (+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x))))> |
#<alt (* x (+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x))))> |
#<alt (* x (+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x))))> |
#<alt x> |
#<alt (* -1 (* x (- (/ (* (log y) (+ 1/2 y)) x) 1)))> |
#<alt (* -1 (* x (- (/ (* (log y) (+ 1/2 y)) x) 1)))> |
#<alt (* -1 (* x (- (/ (* (log y) (+ 1/2 y)) x) 1)))> |
#<alt (- x (* 1/2 (log y)))> |
#<alt (- (+ x (* -1 (* y (log y)))) (* 1/2 (log y)))> |
#<alt (- (+ x (* -1 (* y (log y)))) (* 1/2 (log y)))> |
#<alt (- (+ x (* -1 (* y (log y)))) (* 1/2 (log y)))> |
#<alt (* y (log (/ 1 y)))> |
#<alt (* y (- (/ x y) (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y)))))> |
#<alt (* y (- (/ x y) (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y)))))> |
#<alt (* y (- (/ x y) (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y)))))> |
#<alt (* -1 (* y (+ (log -1) (* -1 (log (/ -1 y))))))> |
#<alt (* -1 (* y (- (* -1 (/ (- x (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))))> |
#<alt (* -1 (* y (- (* -1 (/ (- x (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))))> |
#<alt (* -1 (* y (- (* -1 (/ (- x (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))))> |
#<alt (- y (+ z (* (log y) (+ 1/2 y))))> |
#<alt (- (+ x y) (+ z (* (log y) (+ 1/2 y))))> |
#<alt (- (+ x y) (+ z (* (log y) (+ 1/2 y))))> |
#<alt (- (+ x y) (+ z (* (log y) (+ 1/2 y))))> |
#<alt x> |
#<alt (* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x))))> |
#<alt (* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x))))> |
#<alt (* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x))))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1)))> |
#<alt (- x (+ z (* 1/2 (log y))))> |
#<alt (- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y))))> |
#<alt (- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y))))> |
#<alt (- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y))))> |
#<alt (* y (- 1 (* -1 (log (/ 1 y)))))> |
#<alt (* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y)))))> |
#<alt (* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y)))))> |
#<alt (* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y)))))> |
#<alt (* y (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))> |
#<alt (* -1 (* y (- (* -1 (/ (- x (+ z (* 1/2 (+ (log -1) (* -1 (log (/ -1 y))))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))))> |
#<alt (* -1 (* y (- (* -1 (/ (- x (+ z (* 1/2 (+ (log -1) (* -1 (log (/ -1 y))))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))))> |
#<alt (* -1 (* y (- (* -1 (/ (- x (+ z (* 1/2 (+ (log -1) (* -1 (log (/ -1 y))))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))))> |
#<alt (- (+ x y) (* (log y) (+ 1/2 y)))> |
#<alt (- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y)))> |
#<alt (- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y)))> |
#<alt (- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y)))> |
#<alt (* -1 z)> |
#<alt (* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z))))> |
#<alt (* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z))))> |
#<alt (* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z))))> |
#<alt (* -1 z)> |
#<alt (* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z)))))> |
#<alt (* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z)))))> |
#<alt (* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z)))))> |
#<alt (- y (* (log y) (+ 1/2 y)))> |
#<alt (- (+ x y) (* (log y) (+ 1/2 y)))> |
#<alt (- (+ x y) (* (log y) (+ 1/2 y)))> |
#<alt (- (+ x y) (* (log y) (+ 1/2 y)))> |
#<alt x> |
#<alt (* x (- (+ 1 (/ y x)) (/ (* (log y) (+ 1/2 y)) x)))> |
#<alt (* x (- (+ 1 (/ y x)) (/ (* (log y) (+ 1/2 y)) x)))> |
#<alt (* x (- (+ 1 (/ y x)) (/ (* (log y) (+ 1/2 y)) x)))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (- y (* (log y) (+ 1/2 y))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (- y (* (log y) (+ 1/2 y))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (- y (* (log y) (+ 1/2 y))) x)) 1)))> |
#<alt (- x (* 1/2 (log y)))> |
#<alt (- (+ x (* y (- 1 (log y)))) (* 1/2 (log y)))> |
#<alt (- (+ x (* y (- 1 (log y)))) (* 1/2 (log y)))> |
#<alt (- (+ x (* y (- 1 (log y)))) (* 1/2 (log y)))> |
#<alt (* y (- 1 (* -1 (log (/ 1 y)))))> |
#<alt (* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y)))))> |
#<alt (* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y)))))> |
#<alt (* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y)))))> |
#<alt (* y (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))> |
#<alt (* -1 (* y (- (* -1 (/ (- x (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))))> |
#<alt (* -1 (* y (- (* -1 (/ (- x (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))))> |
#<alt (* -1 (* y (- (* -1 (/ (- x (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))))> |
#<alt (* 1/2 (log y))> |
#<alt (+ (* 1/2 (log y)) (* y (log y)))> |
#<alt (+ (* 1/2 (log y)) (* y (log y)))> |
#<alt (+ (* 1/2 (log y)) (* y (log y)))> |
#<alt (* -1 (* y (log (/ 1 y))))> |
#<alt (* y (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))))> |
#<alt (* y (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))))> |
#<alt (* y (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))))> |
#<alt (* y (+ (log -1) (* -1 (log (/ -1 y)))))> |
#<alt (* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y)))))> |
#<alt (* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y)))))> |
#<alt (* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y)))))> |
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | x | @ | 0 | (- x (* (+ y 1/2) (log y))) |
| 4.0ms | y | @ | 0 | (- x (* (+ y 1/2) (log y))) |
| 3.0ms | y | @ | inf | (- x (* (+ y 1/2) (log y))) |
| 3.0ms | y | @ | -inf | (- x (* (+ y 1/2) (log y))) |
| 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))) |
(- (+ (- x (* (+ y 1/2) (log y))) y) z) |
(+ (- x (* (+ y 1/2) (log y))) y) |
(* (+ y 1/2) (log y)) |
| Outputs |
|---|
(+.f64 x (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y))) |
(+.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) x) |
(+.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x x (*.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) (fma.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y) x)))) (neg.f64 (/.f64 (pow.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) #s(literal 3 binary64)) (fma.f64 x x (*.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) (fma.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y) x)))))) |
(+.f64 (/.f64 (*.f64 x x) (fma.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y) x)) (neg.f64 (/.f64 (pow.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) #s(literal 2 binary64)) (fma.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y) x)))) |
(-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) |
(-.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x x (*.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) (fma.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y) x)))) (/.f64 (pow.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) #s(literal 3 binary64)) (fma.f64 x x (*.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) (fma.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y) x))))) |
(-.f64 (/.f64 (*.f64 x x) (fma.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y) x)) (/.f64 (pow.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) #s(literal 2 binary64)) (fma.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y) x))) |
(-.f64 #s(literal 0 binary64) (-.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) x)) |
(-.f64 (+.f64 x #s(literal 0 binary64)) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) |
(-.f64 (-.f64 x (*.f64 (log.f64 y) y)) (*.f64 (log.f64 y) #s(literal 1/2 binary64))) |
(-.f64 (-.f64 x (*.f64 (log.f64 y) #s(literal 1/2 binary64))) (*.f64 (log.f64 y) y)) |
(-.f64 (-.f64 x (*.f64 y (log.f64 y))) (*.f64 #s(literal 1/2 binary64) (log.f64 y))) |
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(/.f64 (-.f64 (*.f64 (*.f64 (log.f64 y) y) (*.f64 (log.f64 y) y)) (*.f64 (*.f64 (log.f64 y) #s(literal 1/2 binary64)) (*.f64 (log.f64 y) #s(literal 1/2 binary64)))) (-.f64 (*.f64 (log.f64 y) y) (*.f64 (log.f64 y) #s(literal 1/2 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (log.f64 y) #s(literal 1/2 binary64)) (*.f64 (log.f64 y) #s(literal 1/2 binary64))) (*.f64 (*.f64 (log.f64 y) y) (*.f64 (log.f64 y) y))) (-.f64 (*.f64 (log.f64 y) #s(literal 1/2 binary64)) (*.f64 (log.f64 y) y))) |
(/.f64 (-.f64 (*.f64 (*.f64 y (log.f64 y)) (*.f64 y (log.f64 y))) (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 y)) (*.f64 #s(literal 1/2 binary64) (log.f64 y)))) (-.f64 (*.f64 y (log.f64 y)) (*.f64 #s(literal 1/2 binary64) (log.f64 y)))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 y)) (*.f64 #s(literal 1/2 binary64) (log.f64 y))) (*.f64 (*.f64 y (log.f64 y)) (*.f64 y (log.f64 y)))) (-.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 y)) (*.f64 y (log.f64 y)))) |
(/.f64 (*.f64 (log.f64 y) (neg.f64 (fma.f64 y (*.f64 y y) #s(literal 1/8 binary64)))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (fma.f64 y #s(literal -1/2 binary64) (*.f64 y y))))) |
(/.f64 (*.f64 (log.f64 y) (fma.f64 y (neg.f64 y) #s(literal 1/4 binary64))) (+.f64 (neg.f64 y) #s(literal 1/2 binary64))) |
(/.f64 (*.f64 (log.f64 y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64)))) |
(/.f64 (*.f64 (log.f64 y) (-.f64 #s(literal 1/4 binary64) (*.f64 y y))) (-.f64 #s(literal 1/2 binary64) y)) |
(/.f64 (*.f64 (neg.f64 (fma.f64 y (*.f64 y y) #s(literal 1/8 binary64))) (log.f64 y)) (neg.f64 (+.f64 #s(literal 1/4 binary64) (fma.f64 y #s(literal -1/2 binary64) (*.f64 y y))))) |
(/.f64 (*.f64 (fma.f64 y (neg.f64 y) #s(literal 1/4 binary64)) (log.f64 y)) (+.f64 (neg.f64 y) #s(literal 1/2 binary64))) |
(/.f64 (*.f64 #s(literal 1 binary64) (log.f64 y)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) (log.f64 y)) (-.f64 #s(literal 1/2 binary64) y)) |
(*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) |
(*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))) |
(*.f64 (fma.f64 y (*.f64 y y) #s(literal 1/8 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (fma.f64 y #s(literal -1/2 binary64) (*.f64 y y)))) (log.f64 y))) |
(*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1/2 binary64))) (log.f64 y))) |
(*.f64 (*.f64 (log.f64 y) (fma.f64 y (*.f64 y y) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (fma.f64 y #s(literal -1/2 binary64) (*.f64 y y))))) |
(*.f64 (*.f64 (log.f64 y) (fma.f64 y y #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1/2 binary64)))) |
(*.f64 (*.f64 (fma.f64 y (*.f64 y y) #s(literal 1/8 binary64)) (log.f64 y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (fma.f64 y #s(literal -1/2 binary64) (*.f64 y y))))) |
(*.f64 (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1/2 binary64)))) |
| 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 | 8535 | 991 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (* (log y) (+ 1/2 y))) |
(- x (* (log y) (+ 1/2 y))) |
(- x (* (log y) (+ 1/2 y))) |
(- x (* (log y) (+ 1/2 y))) |
x |
(* x (+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x)))) |
(* x (+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x)))) |
(* x (+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x)))) |
x |
(* -1 (* x (- (/ (* (log y) (+ 1/2 y)) x) 1))) |
(* -1 (* x (- (/ (* (log y) (+ 1/2 y)) x) 1))) |
(* -1 (* x (- (/ (* (log y) (+ 1/2 y)) x) 1))) |
(- x (* 1/2 (log y))) |
(- (+ x (* -1 (* y (log y)))) (* 1/2 (log y))) |
(- (+ x (* -1 (* y (log y)))) (* 1/2 (log y))) |
(- (+ x (* -1 (* y (log y)))) (* 1/2 (log y))) |
(* y (log (/ 1 y))) |
(* y (- (/ x y) (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))))) |
(* y (- (/ x y) (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))))) |
(* y (- (/ x y) (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))))) |
(* -1 (* y (+ (log -1) (* -1 (log (/ -1 y)))))) |
(* -1 (* y (- (* -1 (/ (- x (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))) |
(* -1 (* y (- (* -1 (/ (- x (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))) |
(* -1 (* y (- (* -1 (/ (- x (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))) |
(- y (+ z (* (log y) (+ 1/2 y)))) |
(- (+ x y) (+ z (* (log y) (+ 1/2 y)))) |
(- (+ x y) (+ z (* (log y) (+ 1/2 y)))) |
(- (+ x y) (+ z (* (log y) (+ 1/2 y)))) |
x |
(* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x)))) |
(* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x)))) |
(* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x)))) |
x |
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1))) |
(- x (+ z (* 1/2 (log y)))) |
(- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y)))) |
(- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y)))) |
(- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y)))) |
(* y (- 1 (* -1 (log (/ 1 y))))) |
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y))))) |
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y))))) |
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y))))) |
(* y (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))) |
(* -1 (* y (- (* -1 (/ (- x (+ z (* 1/2 (+ (log -1) (* -1 (log (/ -1 y))))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))))) |
(* -1 (* y (- (* -1 (/ (- x (+ z (* 1/2 (+ (log -1) (* -1 (log (/ -1 y))))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))))) |
(* -1 (* y (- (* -1 (/ (- x (+ z (* 1/2 (+ (log -1) (* -1 (log (/ -1 y))))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))))) |
(- (+ x y) (* (log y) (+ 1/2 y))) |
(- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y))) |
(- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y))) |
(- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y))) |
(* -1 z) |
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z)))) |
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z)))) |
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z)))) |
(* -1 z) |
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z))))) |
(- y (* (log y) (+ 1/2 y))) |
(- (+ x y) (* (log y) (+ 1/2 y))) |
(- (+ x y) (* (log y) (+ 1/2 y))) |
(- (+ x y) (* (log y) (+ 1/2 y))) |
x |
(* x (- (+ 1 (/ y x)) (/ (* (log y) (+ 1/2 y)) x))) |
(* x (- (+ 1 (/ y x)) (/ (* (log y) (+ 1/2 y)) x))) |
(* x (- (+ 1 (/ y x)) (/ (* (log y) (+ 1/2 y)) x))) |
x |
(* -1 (* x (- (* -1 (/ (- y (* (log y) (+ 1/2 y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- y (* (log y) (+ 1/2 y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- y (* (log y) (+ 1/2 y))) x)) 1))) |
(- x (* 1/2 (log y))) |
(- (+ x (* y (- 1 (log y)))) (* 1/2 (log y))) |
(- (+ x (* y (- 1 (log y)))) (* 1/2 (log y))) |
(- (+ x (* y (- 1 (log y)))) (* 1/2 (log y))) |
(* y (- 1 (* -1 (log (/ 1 y))))) |
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))))) |
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))))) |
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))))) |
(* y (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))) |
(* -1 (* y (- (* -1 (/ (- x (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))))) |
(* -1 (* y (- (* -1 (/ (- x (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))))) |
(* -1 (* y (- (* -1 (/ (- x (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))))) |
(* 1/2 (log y)) |
(+ (* 1/2 (log y)) (* y (log y))) |
(+ (* 1/2 (log y)) (* y (log y))) |
(+ (* 1/2 (log y)) (* y (log y))) |
(* -1 (* y (log (/ 1 y)))) |
(* y (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y)))) |
(* y (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y)))) |
(* y (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y)))) |
(* y (+ (log -1) (* -1 (log (/ -1 y))))) |
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y))))) |
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y))))) |
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y))))) |
| Outputs |
|---|
(* -1 (* (log y) (+ 1/2 y))) |
(*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) |
(- x (* (log y) (+ 1/2 y))) |
(fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x) |
(- x (* (log y) (+ 1/2 y))) |
(fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x) |
(- x (* (log y) (+ 1/2 y))) |
(fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x) |
x |
(* x (+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x)))) |
(fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x) |
(* x (+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x)))) |
(fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x) |
(* x (+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x)))) |
(fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x) |
x |
(* -1 (* x (- (/ (* (log y) (+ 1/2 y)) x) 1))) |
(fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x) |
(* -1 (* x (- (/ (* (log y) (+ 1/2 y)) x) 1))) |
(fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x) |
(* -1 (* x (- (/ (* (log y) (+ 1/2 y)) x) 1))) |
(fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x) |
(- x (* 1/2 (log y))) |
(fma.f64 (log.f64 y) #s(literal -1/2 binary64) x) |
(- (+ x (* -1 (* y (log y)))) (* 1/2 (log y))) |
(fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x) |
(- (+ x (* -1 (* y (log y)))) (* 1/2 (log y))) |
(fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x) |
(- (+ x (* -1 (* y (log y)))) (* 1/2 (log y))) |
(fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x) |
(* y (log (/ 1 y))) |
(neg.f64 (*.f64 y (log.f64 y))) |
(* y (- (/ x y) (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))))) |
(fma.f64 y (/.f64 x y) (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y))) |
(* y (- (/ x y) (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))))) |
(fma.f64 y (/.f64 x y) (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y))) |
(* y (- (/ x y) (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))))) |
(fma.f64 y (/.f64 x y) (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y))) |
(* -1 (* y (+ (log -1) (* -1 (log (/ -1 y)))))) |
(*.f64 y (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64)))) |
(* -1 (* y (- (* -1 (/ (- x (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))) |
(*.f64 y (-.f64 (/.f64 x y) (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) y))))) |
(* -1 (* y (- (* -1 (/ (- x (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))) |
(*.f64 y (-.f64 (/.f64 x y) (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) y))))) |
(* -1 (* y (- (* -1 (/ (- x (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))) |
(*.f64 y (-.f64 (/.f64 x y) (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) y))))) |
(- y (+ z (* (log y) (+ 1/2 y)))) |
(-.f64 y (fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) z)) |
(- (+ x y) (+ z (* (log y) (+ 1/2 y)))) |
(+.f64 y (-.f64 x (fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) z))) |
(- (+ x y) (+ z (* (log y) (+ 1/2 y)))) |
(+.f64 y (-.f64 x (fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) z))) |
(- (+ x y) (+ z (* (log y) (+ 1/2 y)))) |
(+.f64 y (-.f64 x (fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) z))) |
x |
(* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x)))) |
(fma.f64 x (/.f64 (-.f64 y (fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) z)) x) x) |
(* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x)))) |
(fma.f64 x (/.f64 (-.f64 y (fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) z)) x) x) |
(* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x)))) |
(fma.f64 x (/.f64 (-.f64 y (fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) z)) x) x) |
x |
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1))) |
(fma.f64 x (/.f64 (-.f64 y (fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) z)) x) x) |
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1))) |
(fma.f64 x (/.f64 (-.f64 y (fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) z)) x) x) |
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1))) |
(fma.f64 x (/.f64 (-.f64 y (fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) z)) x) x) |
(- x (+ z (* 1/2 (log y)))) |
(-.f64 x (fma.f64 (log.f64 y) #s(literal 1/2 binary64) z)) |
(- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y)))) |
(+.f64 y (-.f64 x (fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) z))) |
(- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y)))) |
(+.f64 y (-.f64 x (fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) z))) |
(- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y)))) |
(+.f64 y (-.f64 x (fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) z))) |
(* y (- 1 (* -1 (log (/ 1 y))))) |
(fma.f64 (log.f64 y) (neg.f64 y) y) |
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y))))) |
(fma.f64 y (fma.f64 (neg.f64 (log.f64 y)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) y)) (/.f64 (-.f64 x z) y)) y) |
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y))))) |
(fma.f64 y (fma.f64 (neg.f64 (log.f64 y)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) y)) (/.f64 (-.f64 x z) y)) y) |
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y))))) |
(fma.f64 y (fma.f64 (neg.f64 (log.f64 y)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) y)) (/.f64 (-.f64 x z) y)) y) |
(* y (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))) |
(fma.f64 y (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64))) y) |
(* -1 (* y (- (* -1 (/ (- x (+ z (* 1/2 (+ (log -1) (* -1 (log (/ -1 y))))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))))) |
(*.f64 y (+.f64 (+.f64 (/.f64 (-.f64 x z) y) (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) y)))) #s(literal 1 binary64))) |
(* -1 (* y (- (* -1 (/ (- x (+ z (* 1/2 (+ (log -1) (* -1 (log (/ -1 y))))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))))) |
(*.f64 y (+.f64 (+.f64 (/.f64 (-.f64 x z) y) (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) y)))) #s(literal 1 binary64))) |
(* -1 (* y (- (* -1 (/ (- x (+ z (* 1/2 (+ (log -1) (* -1 (log (/ -1 y))))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))))) |
(*.f64 y (+.f64 (+.f64 (/.f64 (-.f64 x z) y) (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) y)))) #s(literal 1 binary64))) |
(- (+ x y) (* (log y) (+ 1/2 y))) |
(+.f64 y (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)) |
(- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y))) |
(+.f64 y (-.f64 x (fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) z))) |
(- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y))) |
(+.f64 y (-.f64 x (fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) z))) |
(- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y))) |
(+.f64 y (-.f64 x (fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) z))) |
(* -1 z) |
(neg.f64 z) |
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z)))) |
(*.f64 z (fma.f64 (log.f64 y) (/.f64 (-.f64 #s(literal -1/2 binary64) y) z) (fma.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 y x) #s(literal -1 binary64)))) |
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z)))) |
(*.f64 z (fma.f64 (log.f64 y) (/.f64 (-.f64 #s(literal -1/2 binary64) y) z) (fma.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 y x) #s(literal -1 binary64)))) |
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z)))) |
(*.f64 z (fma.f64 (log.f64 y) (/.f64 (-.f64 #s(literal -1/2 binary64) y) z) (fma.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 y x) #s(literal -1 binary64)))) |
(* -1 z) |
(neg.f64 z) |
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z))))) |
(+.f64 y (-.f64 x (fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) z))) |
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z))))) |
(+.f64 y (-.f64 x (fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) z))) |
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z))))) |
(+.f64 y (-.f64 x (fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) z))) |
(- y (* (log y) (+ 1/2 y))) |
(fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) |
(- (+ x y) (* (log y) (+ 1/2 y))) |
(+.f64 y (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)) |
(- (+ x y) (* (log y) (+ 1/2 y))) |
(+.f64 y (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)) |
(- (+ x y) (* (log y) (+ 1/2 y))) |
(+.f64 y (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)) |
x |
(* x (- (+ 1 (/ y x)) (/ (* (log y) (+ 1/2 y)) x))) |
(fma.f64 x (/.f64 y x) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)) |
(* x (- (+ 1 (/ y x)) (/ (* (log y) (+ 1/2 y)) x))) |
(fma.f64 x (/.f64 y x) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)) |
(* x (- (+ 1 (/ y x)) (/ (* (log y) (+ 1/2 y)) x))) |
(fma.f64 x (/.f64 y x) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)) |
x |
(* -1 (* x (- (* -1 (/ (- y (* (log y) (+ 1/2 y))) x)) 1))) |
(fma.f64 x (/.f64 y x) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)) |
(* -1 (* x (- (* -1 (/ (- y (* (log y) (+ 1/2 y))) x)) 1))) |
(fma.f64 x (/.f64 y x) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)) |
(* -1 (* x (- (* -1 (/ (- y (* (log y) (+ 1/2 y))) x)) 1))) |
(fma.f64 x (/.f64 y x) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)) |
(- x (* 1/2 (log y))) |
(fma.f64 (log.f64 y) #s(literal -1/2 binary64) x) |
(- (+ x (* y (- 1 (log y)))) (* 1/2 (log y))) |
(+.f64 y (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)) |
(- (+ x (* y (- 1 (log y)))) (* 1/2 (log y))) |
(+.f64 y (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)) |
(- (+ x (* y (- 1 (log y)))) (* 1/2 (log y))) |
(+.f64 y (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)) |
(* y (- 1 (* -1 (log (/ 1 y))))) |
(fma.f64 (log.f64 y) (neg.f64 y) y) |
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))))) |
(fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) (fma.f64 y (/.f64 x y) y)) |
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))))) |
(fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) (fma.f64 y (/.f64 x y) y)) |
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))))) |
(fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) (fma.f64 y (/.f64 x y) y)) |
(* y (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))) |
(fma.f64 y (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64))) y) |
(* -1 (* y (- (* -1 (/ (- x (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))))) |
(*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 x y) (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) y)))))) |
(* -1 (* y (- (* -1 (/ (- x (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))))) |
(*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 x y) (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) y)))))) |
(* -1 (* y (- (* -1 (/ (- x (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))))) |
(*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 x y) (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) y)))))) |
(* 1/2 (log y)) |
(*.f64 (log.f64 y) #s(literal 1/2 binary64)) |
(+ (* 1/2 (log y)) (* y (log y))) |
(*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))) |
(+ (* 1/2 (log y)) (* y (log y))) |
(*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))) |
(+ (* 1/2 (log y)) (* y (log y))) |
(*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))) |
(* -1 (* y (log (/ 1 y)))) |
(*.f64 y (log.f64 y)) |
(* y (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y)))) |
(*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))) |
(* y (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y)))) |
(*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))) |
(* y (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y)))) |
(*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))) |
(* y (+ (log -1) (* -1 (log (/ -1 y))))) |
(*.f64 y (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y)))) |
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y))))) |
(*.f64 y (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) y)))) |
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y))))) |
(*.f64 y (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) y)))) |
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y))))) |
(*.f64 y (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) y)))) |
Compiled 13 729 to 1 379 computations (90% 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 |
|---|---|---|
| ▶ | 30.8% | (fma.f64 (log.f64 y) (neg.f64 y) y) |
| 79.4% | (fma.f64 x (/.f64 (-.f64 y (fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) z)) x) x) | |
| 49.6% | (/.f64 (fma.f64 (*.f64 (+.f64 y z) (-.f64 y z)) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)) (*.f64 (+.f64 y z) #s(literal 1 binary64))) (*.f64 (+.f64 y z) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)))) | |
| ▶ | 99.6% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 y (-.f64 x (fma.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y) z))))) |
| ▶ | 70.5% | (-.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) z) |
| 62.0% | (-.f64 (fma.f64 (log.f64 y) (neg.f64 y) y) z) | |
| 70.3% | (-.f64 (fma.f64 (log.f64 y) #s(literal -1/2 binary64) x) z) | |
| 99.7% | (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x))) y) z) | |
| 99.8% | (-.f64 (+.f64 (-.f64 x (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64))))) y) z) | |
| ▶ | 99.9% | (-.f64 (+.f64 x (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y)) z) |
| 60.7% | (-.f64 (+.f64 x y) z) | |
| 61.3% | (-.f64 x z) | |
| 68.0% | (+.f64 y (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)) | |
| 78.2% | (*.f64 z (fma.f64 (log.f64 y) (/.f64 (-.f64 #s(literal -1/2 binary64) y) z) (fma.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 y x) #s(literal -1 binary64)))) | |
| 33.3% | (neg.f64 z) | |
| ▶ | 29.7% | x |
Compiled 442 to 274 computations (38% saved)
| 1× | egg-herbie |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (-.f64 x (fma.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y) z)) |
| ✓ | cost-diff | 0 | (+.f64 y (-.f64 x (fma.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y) z))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (+.f64 y (-.f64 x (fma.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y) z)))) |
| ✓ | cost-diff | 1408 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 y (-.f64 x (fma.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y) z))))) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal -1/2 binary64) y) |
| ✓ | cost-diff | 0 | (log.f64 y) |
| ✓ | cost-diff | 0 | (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) |
| ✓ | cost-diff | 0 | (-.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) z) |
| ✓ | cost-diff | 0 | (neg.f64 y) |
| ✓ | cost-diff | 0 | (log.f64 y) |
| ✓ | cost-diff | 0 | (fma.f64 (log.f64 y) (neg.f64 y) y) |
| ✓ | cost-diff | 0 | (log.f64 y) |
| ✓ | cost-diff | 0 | (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) |
| ✓ | cost-diff | 0 | (+.f64 x (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y)) |
| ✓ | cost-diff | 0 | (-.f64 (+.f64 x (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y)) z) |
| 4 240× | accelerator-lowering-fma.f32 |
| 4 240× | accelerator-lowering-fma.f64 |
| 1 246× | div-sub |
| 1 016× | +-lowering-+.f64 |
| 1 016× | --lowering--.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 144 |
| 1 | 56 | 143 |
| 2 | 143 | 143 |
| 3 | 422 | 143 |
| 4 | 1150 | 143 |
| 5 | 2684 | 143 |
| 6 | 4170 | 143 |
| 7 | 4578 | 143 |
| 8 | 4755 | 143 |
| 9 | 4757 | 143 |
| 10 | 4757 | 143 |
| 11 | 4873 | 143 |
| 12 | 4911 | 143 |
| 13 | 4911 | 143 |
| 14 | 4911 | 143 |
| 15 | 4911 | 143 |
| 0 | 4911 | 133 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(- (+ x (+ (* (log y) (- -1/2 y)) y)) z) |
(+ x (+ (* (log y) (- -1/2 y)) y)) |
x |
(+ (* (log y) (- -1/2 y)) y) |
(log y) |
y |
(- -1/2 y) |
-1/2 |
z |
x |
(+ (* (log y) (neg y)) y) |
(log y) |
y |
(neg y) |
(- (+ (* (log y) (- -1/2 y)) y) z) |
(+ (* (log y) (- -1/2 y)) y) |
(log y) |
y |
(- -1/2 y) |
-1/2 |
z |
(/ 1 (/ 1 (+ y (- x (+ (* (+ y 1/2) (log y)) z))))) |
1 |
(/ 1 (+ y (- x (+ (* (+ y 1/2) (log y)) z)))) |
(+ y (- x (+ (* (+ y 1/2) (log y)) z))) |
y |
(- x (+ (* (+ y 1/2) (log y)) z)) |
x |
(+ (* (+ y 1/2) (log y)) z) |
(+ y 1/2) |
1/2 |
(log y) |
z |
| Outputs |
|---|
(- (+ x (+ (* (log y) (- -1/2 y)) y)) z) |
(+.f64 x (-.f64 y (fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) z))) |
(+ x (+ (* (log y) (- -1/2 y)) y)) |
(+.f64 x (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y)) |
x |
(+ (* (log y) (- -1/2 y)) y) |
(fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) |
(log y) |
(log.f64 y) |
y |
(- -1/2 y) |
(-.f64 #s(literal -1/2 binary64) y) |
-1/2 |
#s(literal -1/2 binary64) |
z |
x |
(+ (* (log y) (neg y)) y) |
(fma.f64 (log.f64 y) (neg.f64 y) y) |
(log y) |
(log.f64 y) |
y |
(neg y) |
(neg.f64 y) |
(- (+ (* (log y) (- -1/2 y)) y) z) |
(-.f64 y (fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) z)) |
(+ (* (log y) (- -1/2 y)) y) |
(fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) |
(log y) |
(log.f64 y) |
y |
(- -1/2 y) |
(-.f64 #s(literal -1/2 binary64) y) |
-1/2 |
#s(literal -1/2 binary64) |
z |
(/ 1 (/ 1 (+ y (- x (+ (* (+ y 1/2) (log y)) z))))) |
(+.f64 x (-.f64 y (fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) z))) |
1 |
#s(literal 1 binary64) |
(/ 1 (+ y (- x (+ (* (+ y 1/2) (log y)) z)))) |
(/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 y (fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) z)))) |
(+ y (- x (+ (* (+ y 1/2) (log y)) z))) |
(+.f64 x (-.f64 y (fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) z))) |
y |
(- x (+ (* (+ y 1/2) (log y)) z)) |
(-.f64 x (fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) z)) |
x |
(+ (* (+ y 1/2) (log y)) z) |
(fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) z) |
(+ y 1/2) |
(+.f64 y #s(literal 1/2 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
(log y) |
(log.f64 y) |
z |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.9% | (+.f64 y (-.f64 x (fma.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y) z))) |
| ✓ | accuracy | 99.8% | (fma.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y) z) |
| ✓ | accuracy | 99.7% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 y (-.f64 x (fma.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y) z))))) |
| ✓ | accuracy | 99.0% | (/.f64 #s(literal 1 binary64) (+.f64 y (-.f64 x (fma.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y) z)))) |
| ✓ | accuracy | 100.0% | (-.f64 #s(literal -1/2 binary64) y) |
| ✓ | accuracy | 100.0% | (log.f64 y) |
| ✓ | accuracy | 100.0% | (-.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) z) |
| ✓ | accuracy | 99.7% | (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) |
| ✓ | accuracy | 100.0% | (neg.f64 y) |
| ✓ | accuracy | 100.0% | (log.f64 y) |
| ✓ | accuracy | 99.6% | (fma.f64 (log.f64 y) (neg.f64 y) y) |
| ✓ | accuracy | 100.0% | (log.f64 y) |
| ✓ | accuracy | 100.0% | (-.f64 (+.f64 x (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y)) z) |
| ✓ | accuracy | 100.0% | (+.f64 x (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y)) |
| ✓ | accuracy | 99.7% | (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) |
| 48.0ms | 256× | 0 | valid |
Compiled 139 to 25 computations (82% saved)
ival-sub: 11.0ms (35.9% of total)ival-add: 7.0ms (22.8% of total)ival-mult: 4.0ms (13.1% of total)ival-log: 4.0ms (13.1% of total)ival-div: 3.0ms (9.8% of total)ival-neg: 1.0ms (3.3% 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 (+ (* (log y) (- -1/2 y)) y)) z)> |
#<alt (+ x (+ (* (log y) (- -1/2 y)) y))> |
#<alt (+ (* (log y) (- -1/2 y)) y)> |
#<alt (log y)> |
#<alt (+ (* (log y) (neg y)) y)> |
#<alt (neg y)> |
#<alt (- (+ (* (log y) (- -1/2 y)) y) z)> |
#<alt (- -1/2 y)> |
#<alt (/ 1 (/ 1 (+ y (- x (+ (* (+ y 1/2) (log y)) z)))))> |
#<alt (/ 1 (+ y (- x (+ (* (+ y 1/2) (log y)) z))))> |
#<alt (+ y (- x (+ (* (+ y 1/2) (log y)) z)))> |
#<alt (- x (+ (* (+ y 1/2) (log y)) z))> |
#<alt (+ (* (+ y 1/2) (log y)) z)> |
| Outputs |
|---|
#<alt (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z)> |
#<alt (- (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z)> |
#<alt (- (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z)> |
#<alt (- (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z)> |
#<alt x> |
#<alt (* x (- (+ 1 (+ (* -1 (/ (* (log y) (+ 1/2 y)) x)) (/ y x))) (/ z x)))> |
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#<alt (/ -1 z)> |
#<alt (/ (- (/ (* (log y) (+ 1/2 y)) z) (+ 1 (+ (/ x z) (/ y z)))) z)> |
#<alt (/ (- (+ (/ (* (log y) (+ 1/2 y)) z) (/ (* (- (* (log y) (+ 1/2 y)) (+ x y)) (- (+ x y) (* (log y) (+ 1/2 y)))) (pow z 2))) (+ 1 (+ (/ x z) (/ y z)))) z)> |
#<alt (/ (- (+ (/ (* (log y) (+ 1/2 y)) z) (/ (* (- (* (log y) (+ 1/2 y)) (+ x y)) (pow (- (+ x y) (* (log y) (+ 1/2 y))) 2)) (pow z 3))) (+ 1 (+ (* -1 (/ (* (- (* (log y) (+ 1/2 y)) (+ x y)) (- (+ x y) (* (log y) (+ 1/2 y)))) (pow z 2))) (+ (/ x z) (/ y z))))) z)> |
#<alt (/ -1 z)> |
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (* (log y) (+ 1/2 y)) (+ x y)) z))) z))> |
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (+ (* (log y) (+ 1/2 y)) (/ (* (- (* (log y) (+ 1/2 y)) (+ x y)) (- (+ x y) (* (log y) (+ 1/2 y)))) z)) (+ x y)) z))) z))> |
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (- (* (log y) (+ 1/2 y)) (+ x y)) (pow (- (+ x y) (* (log y) (+ 1/2 y))) 2)) z)) (* (- (* (log y) (+ 1/2 y)) (+ x y)) (- (+ x y) (* (log y) (+ 1/2 y))))) z)) (* (log y) (+ 1/2 y))) (+ x y)) z))) z))> |
#<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 (- 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 y) (* (log y) (+ 1/2 y)))> |
#<alt (- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y)))> |
#<alt (- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y)))> |
#<alt (- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y)))> |
#<alt (* -1 z)> |
#<alt (* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z))))> |
#<alt (* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z))))> |
#<alt (* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z))))> |
#<alt (* -1 z)> |
#<alt (* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z)))))> |
#<alt (* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z)))))> |
#<alt (* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z)))))> |
#<alt (* -1 (+ z (* (log y) (+ 1/2 y))))> |
#<alt (- x (+ z (* (log y) (+ 1/2 y))))> |
#<alt (- x (+ z (* (log y) (+ 1/2 y))))> |
#<alt (- x (+ z (* (log y) (+ 1/2 y))))> |
#<alt x> |
#<alt (* x (+ 1 (* -1 (/ (+ z (* (log y) (+ 1/2 y))) x))))> |
#<alt (* x (+ 1 (* -1 (/ (+ z (* (log y) (+ 1/2 y))) x))))> |
#<alt (* x (+ 1 (* -1 (/ (+ z (* (log y) (+ 1/2 y))) x))))> |
#<alt x> |
#<alt (* -1 (* x (- (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x)) 1)))> |
#<alt (* -1 (* x (- (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x)) 1)))> |
#<alt (* -1 (* x (- (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x)) 1)))> |
#<alt (- x (+ z (* 1/2 (log y))))> |
#<alt (- (+ x (* -1 (* y (log y)))) (+ z (* 1/2 (log y))))> |
#<alt (- (+ x (* -1 (* y (log y)))) (+ z (* 1/2 (log y))))> |
#<alt (- (+ x (* -1 (* y (log y)))) (+ z (* 1/2 (log y))))> |
#<alt (* y (log (/ 1 y)))> |
#<alt (* y (- (/ x y) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y)))))> |
#<alt (* y (- (/ x y) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y)))))> |
#<alt (* y (- (/ x y) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y)))))> |
#<alt (* -1 (* y (+ (log -1) (* -1 (log (/ -1 y))))))> |
#<alt (* -1 (* y (- (* -1 (/ (- x (+ z (* 1/2 (+ (log -1) (* -1 (log (/ -1 y))))))) y)) (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))))> |
#<alt (* -1 (* y (- (* -1 (/ (- x (+ z (* 1/2 (+ (log -1) (* -1 (log (/ -1 y))))))) y)) (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))))> |
#<alt (* -1 (* y (- (* -1 (/ (- x (+ z (* 1/2 (+ (log -1) (* -1 (log (/ -1 y))))))) y)) (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))))> |
#<alt (- x (* (log y) (+ 1/2 y)))> |
#<alt (- (+ x (* -1 z)) (* (log y) (+ 1/2 y)))> |
#<alt (- (+ x (* -1 z)) (* (log y) (+ 1/2 y)))> |
#<alt (- (+ x (* -1 z)) (* (log y) (+ 1/2 y)))> |
#<alt (* -1 z)> |
#<alt (* z (- (/ x z) (+ 1 (/ (* (log y) (+ 1/2 y)) z))))> |
#<alt (* z (- (/ x z) (+ 1 (/ (* (log y) (+ 1/2 y)) z))))> |
#<alt (* z (- (/ x z) (+ 1 (/ (* (log y) (+ 1/2 y)) z))))> |
#<alt (* -1 z)> |
#<alt (* -1 (* z (+ 1 (* -1 (/ (- x (* (log y) (+ 1/2 y))) z)))))> |
#<alt (* -1 (* z (+ 1 (* -1 (/ (- x (* (log y) (+ 1/2 y))) z)))))> |
#<alt (* -1 (* z (+ 1 (* -1 (/ (- x (* (log y) (+ 1/2 y))) z)))))> |
#<alt (+ z (* 1/2 (log y)))> |
#<alt (+ z (+ (* 1/2 (log y)) (* y (log y))))> |
#<alt (+ z (+ (* 1/2 (log y)) (* y (log y))))> |
#<alt (+ z (+ (* 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)) (/ z y))))> |
#<alt (* y (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y))))> |
#<alt (* y (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y))))> |
#<alt (* y (+ (log -1) (* -1 (log (/ -1 y)))))> |
#<alt (* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1 (/ (+ z (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)))))> |
#<alt (* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1 (/ (+ z (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)))))> |
#<alt (* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1 (/ (+ z (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)))))> |
#<alt (* (log y) (+ 1/2 y))> |
#<alt (+ z (* (log y) (+ 1/2 y)))> |
#<alt (+ z (* (log y) (+ 1/2 y)))> |
#<alt (+ z (* (log y) (+ 1/2 y)))> |
#<alt z> |
#<alt (* z (+ 1 (/ (* (log y) (+ 1/2 y)) z)))> |
#<alt (* z (+ 1 (/ (* (log y) (+ 1/2 y)) z)))> |
#<alt (* z (+ 1 (/ (* (log y) (+ 1/2 y)) z)))> |
#<alt z> |
#<alt (* -1 (* z (- (* -1 (/ (* (log y) (+ 1/2 y)) z)) 1)))> |
#<alt (* -1 (* z (- (* -1 (/ (* (log y) (+ 1/2 y)) z)) 1)))> |
#<alt (* -1 (* z (- (* -1 (/ (* (log y) (+ 1/2 y)) z)) 1)))> |
78 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 50.0ms | y | @ | 0 | (log y) |
| 34.0ms | y | @ | -inf | (log y) |
| 7.0ms | y | @ | 0 | (+ (* (log y) (neg y)) y) |
| 5.0ms | y | @ | inf | (log y) |
| 2.0ms | z | @ | 0 | (/ 1 (+ y (- x (+ (* (+ y 1/2) (log y)) z)))) |
| 1× | batch-egg-rewrite |
| 4 808× | accelerator-lowering-fma.f32 |
| 4 808× | accelerator-lowering-fma.f64 |
| 4 122× | *-lowering-*.f32 |
| 4 122× | *-lowering-*.f64 |
| 3 892× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 110 |
| 1 | 177 | 109 |
| 2 | 1645 | 109 |
| 0 | 8654 | 100 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (+ x (+ (* (log y) (- -1/2 y)) y)) z) |
(+ x (+ (* (log y) (- -1/2 y)) y)) |
(+ (* (log y) (- -1/2 y)) y) |
(log y) |
(+ (* (log y) (neg y)) y) |
(neg y) |
(- (+ (* (log y) (- -1/2 y)) y) z) |
(- -1/2 y) |
(/ 1 (/ 1 (+ y (- x (+ (* (+ y 1/2) (log y)) z))))) |
(/ 1 (+ y (- x (+ (* (+ y 1/2) (log y)) z)))) |
(+ y (- x (+ (* (+ y 1/2) (log y)) z))) |
(- x (+ (* (+ y 1/2) (log y)) z)) |
(+ (* (+ y 1/2) (log y)) z) |
| Outputs |
|---|
(+.f64 x (-.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) z)) |
(+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) (+.f64 x (neg.f64 z))) |
(+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) (-.f64 x z)) |
(+.f64 (+.f64 x (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y)) (neg.f64 z)) |
(+.f64 (-.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) z) x) |
(+.f64 (neg.f64 z) (+.f64 x (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y))) |
(+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x) (-.f64 y z)) |
(-.f64 (+.f64 x (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y)) z) |
(-.f64 (/.f64 (pow.f64 (+.f64 x (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y)) #s(literal 3 binary64)) (fma.f64 z (+.f64 x (+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) z)) (pow.f64 (+.f64 x (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y)) #s(literal 2 binary64)))) (/.f64 (*.f64 z (*.f64 z z)) (fma.f64 z (+.f64 x (+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) z)) (pow.f64 (+.f64 x (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y)) #s(literal 2 binary64))))) |
(-.f64 (/.f64 (pow.f64 (+.f64 x (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y)) #s(literal 2 binary64)) (+.f64 x (+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) z))) (/.f64 (*.f64 z z) (+.f64 x (+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) z)))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (-.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) z))) (/.f64 (pow.f64 (-.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) z) #s(literal 2 binary64)) (-.f64 x (-.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) z)))) |
(-.f64 (/.f64 (pow.f64 (+.f64 x (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y)) #s(literal 2 binary64)) (-.f64 (+.f64 x (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y)) (neg.f64 z))) (/.f64 (*.f64 z z) (-.f64 (+.f64 x (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y)) (neg.f64 z)))) |
(fma.f64 #s(literal -1 binary64) z (+.f64 x (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y))) |
(fma.f64 (fma.f64 x (*.f64 x x) (pow.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) (-.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) x) (*.f64 x x))) (neg.f64 z)) |
(fma.f64 (fma.f64 y (*.f64 y y) (pow.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y))) (pow.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) #s(literal 2 binary64)))) (+.f64 x (neg.f64 z))) |
(fma.f64 (fma.f64 y (*.f64 y y) (pow.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y))) (pow.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) #s(literal 2 binary64)))) (-.f64 x z)) |
(fma.f64 (-.f64 (pow.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) #s(literal 3 binary64)) (*.f64 z (*.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) z) (pow.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) #s(literal 2 binary64)))) x) |
(fma.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y))) (neg.f64 z)) |
(fma.f64 (-.f64 (pow.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) #s(literal 2 binary64)) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) (neg.f64 y))) (+.f64 x (neg.f64 z))) |
(fma.f64 (-.f64 (pow.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) #s(literal 2 binary64)) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) (neg.f64 y))) (-.f64 x z)) |
(fma.f64 (-.f64 (pow.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) #s(literal 2 binary64)) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) z)) x) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (+.f64 x (+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) z)) (pow.f64 (+.f64 x (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y)) #s(literal 2 binary64))) (-.f64 (pow.f64 (+.f64 x (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y)) #s(literal 3 binary64)) (*.f64 z (*.f64 z z))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) z)) (-.f64 (pow.f64 (+.f64 x (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y)) #s(literal 2 binary64)) (*.f64 z z)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 z (+.f64 x (+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) z)) (pow.f64 (+.f64 x (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y)) #s(literal 2 binary64))) (-.f64 (pow.f64 (+.f64 x (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y)) #s(literal 3 binary64)) (*.f64 z (*.f64 z z)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 x (+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) z)) (-.f64 (pow.f64 (+.f64 x (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y)) #s(literal 2 binary64)) (*.f64 z z))))) |
(/.f64 (-.f64 (pow.f64 (+.f64 x (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y)) #s(literal 3 binary64)) (*.f64 z (*.f64 z z))) (fma.f64 z (+.f64 x (+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) z)) (pow.f64 (+.f64 x (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y)) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (pow.f64 (+.f64 x (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y)) #s(literal 3 binary64)) (*.f64 z (*.f64 z z))) (+.f64 (pow.f64 (+.f64 x (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y)) #s(literal 2 binary64)) (-.f64 (*.f64 z z) (*.f64 (+.f64 x (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y)) (neg.f64 z))))) |
(/.f64 (-.f64 (pow.f64 (+.f64 x (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y)) #s(literal 2 binary64)) (*.f64 z z)) (+.f64 x (+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) z))) |
(/.f64 (-.f64 (pow.f64 (+.f64 x (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y)) #s(literal 2 binary64)) (*.f64 z z)) (-.f64 (+.f64 x (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y)) (neg.f64 z))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y)) #s(literal 3 binary64)) (*.f64 z (*.f64 z z)))) (neg.f64 (fma.f64 z (+.f64 x (+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) z)) (pow.f64 (+.f64 x (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y)) #s(literal 2 binary64))))) |
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(*.f64 (fma.f64 z (*.f64 z z) (pow.f64 (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 z (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))) (pow.f64 (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64))))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) (neg.f64 z)))) |
| 1× | egg-herbie |
| 7 430× | accelerator-lowering-fma.f32 |
| 7 430× | accelerator-lowering-fma.f64 |
| 3 828× | +-lowering-+.f64 |
| 3 828× | +-lowering-+.f32 |
| 3 794× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 475 | 5486 |
| 1 | 1516 | 5122 |
| 2 | 5161 | 4937 |
| 0 | 8257 | 4653 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) |
(- (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z) |
(- (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z) |
(- (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z) |
x |
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(* x (- (+ 1 (+ (* -1 (/ (* (log y) (+ 1/2 y)) x)) (/ y x))) (/ z x))) |
(* x (- (+ 1 (+ (* -1 (/ (* (log y) (+ 1/2 y)) x)) (/ y x))) (/ z x))) |
x |
(* -1 (* x (- (* -1 (/ (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) x)) 1))) |
(- (+ x (* -1/2 (log y))) z) |
(- (+ x (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y)))))) z) |
(- (+ x (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y)))))) z) |
(- (+ x (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y)))))) z) |
(* y (+ 1 (log (/ 1 y)))) |
(* y (- (+ 1 (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y)))) (/ z y))) |
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(* -1 (* y (- (+ (log -1) (* -1 (log (/ -1 y)))) 1))) |
(* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) z) y)))) 1))) |
(* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) z) y)))) 1))) |
(* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) z) y)))) 1))) |
(+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) |
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(* -1 z) |
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(* -1 z) |
(* -1 (* z (+ 1 (* -1 (/ (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z))))) |
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x |
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(* x (+ 1 (+ (* -1 (/ (* (log y) (+ 1/2 y)) x)) (/ y x)))) |
x |
(* -1 (* x (- (* -1 (/ (+ y (* -1 (* (log y) (+ 1/2 y)))) x)) 1))) |
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(* -1 (* x (- (* -1 (/ (+ y (* -1 (* (log y) (+ 1/2 y)))) x)) 1))) |
(+ x (* -1/2 (log y))) |
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(* y (+ 1 (log (/ 1 y)))) |
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(* -1 (* y (- (+ (log -1) (* -1 (log (/ -1 y)))) 1))) |
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(* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)))) 1))) |
(* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)))) 1))) |
(* -1/2 (log y)) |
(+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y))))) |
(+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y))))) |
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(* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y)))) 1))) |
(* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y)))) 1))) |
(log y) |
(log y) |
(log y) |
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(* -1 (log (/ 1 y))) |
(* -1 (log (/ 1 y))) |
(* -1 (log (/ 1 y))) |
(* -1 (log (/ 1 y))) |
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(* -1 (* y (- (+ (log -1) (* -1 (log (/ -1 y)))) 1))) |
(* -1 (* y (- (+ (log -1) (* -1 (log (/ -1 y)))) 1))) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(- (* -1/2 (log y)) z) |
(- (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y))))) z) |
(- (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y))))) z) |
(- (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y))))) z) |
(* y (+ 1 (log (/ 1 y)))) |
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(* -1 (* y (- (+ (log -1) (* -1 (log (/ -1 y)))) 1))) |
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(* -1 (* z (+ 1 (* -1 (/ (+ y (* -1 (* (log y) (+ 1/2 y)))) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (+ y (* -1 (* (log y) (+ 1/2 y)))) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (+ y (* -1 (* (log y) (+ 1/2 y)))) z))))) |
-1/2 |
(- (* -1 y) 1/2) |
(- (* -1 y) 1/2) |
(- (* -1 y) 1/2) |
(* -1 y) |
(* -1 (* y (+ 1 (* 1/2 (/ 1 y))))) |
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(- x (+ z (* 1/2 (log y)))) |
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(- (+ 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))))) |
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(* y (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))) |
(* -1 (* y (- (* -1 (/ (- x (+ z (* 1/2 (+ (log -1) (* -1 (log (/ -1 y))))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))))) |
(* -1 (* y (- (* -1 (/ (- x (+ z (* 1/2 (+ (log -1) (* -1 (log (/ -1 y))))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))))) |
(* -1 (* y (- (* -1 (/ (- x (+ z (* 1/2 (+ (log -1) (* -1 (log (/ -1 y))))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))))) |
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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))) |
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(- (+ x y) (* (log y) (+ 1/2 y))) |
(- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y))) |
(- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y))) |
(- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y))) |
(* -1 z) |
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(* -1 z) |
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(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z))))) |
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(+ (* y (- (/ (log y) (pow (- x (+ z (* 1/2 (log y)))) 2)) (/ 1 (pow (- x (+ z (* 1/2 (log y)))) 2)))) (/ 1 (- x (+ z (* 1/2 (log y)))))) |
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(/ 1 (* y (- 1 (* -1 (log (/ 1 y)))))) |
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(/ (- (+ (* -1 (/ (* (- x (+ z (* -1/2 (log (/ 1 y))))) (- (+ (* -1/2 (/ (log (/ 1 y)) (pow (- 1 (* -1 (log (/ 1 y)))) 2))) (/ z (pow (- 1 (* -1 (log (/ 1 y)))) 2))) (/ x (pow (- 1 (* -1 (log (/ 1 y)))) 2)))) (* (pow y 2) (- 1 (* -1 (log (/ 1 y))))))) (+ (* -1/2 (/ (log (/ 1 y)) (* y (pow (- 1 (* -1 (log (/ 1 y)))) 2)))) (+ (/ 1 (- 1 (* -1 (log (/ 1 y))))) (/ z (* y (pow (- 1 (* -1 (log (/ 1 y)))) 2)))))) (/ x (* y (pow (- 1 (* -1 (log (/ 1 y)))) 2)))) y) |
(/ (- (+ (* -1/2 (/ (log (/ 1 y)) (* y (pow (- 1 (* -1 (log (/ 1 y)))) 2)))) (+ (/ 1 (- 1 (* -1 (log (/ 1 y))))) (+ (/ z (* y (pow (- 1 (* -1 (log (/ 1 y)))) 2))) (/ (* (pow (- x (+ z (* -1/2 (log (/ 1 y))))) 2) (- (+ (* -1/2 (/ (log (/ 1 y)) (pow (- 1 (* -1 (log (/ 1 y)))) 2))) (/ z (pow (- 1 (* -1 (log (/ 1 y)))) 2))) (/ x (pow (- 1 (* -1 (log (/ 1 y)))) 2)))) (* (pow y 3) (pow (- 1 (* -1 (log (/ 1 y)))) 2)))))) (+ (/ x (* y (pow (- 1 (* -1 (log (/ 1 y)))) 2))) (/ (* (- x (+ z (* -1/2 (log (/ 1 y))))) (- (+ (* -1/2 (/ (log (/ 1 y)) (pow (- 1 (* -1 (log (/ 1 y)))) 2))) (/ z (pow (- 1 (* -1 (log (/ 1 y)))) 2))) (/ x (pow (- 1 (* -1 (log (/ 1 y)))) 2)))) (* (pow y 2) (- 1 (* -1 (log (/ 1 y)))))))) y) |
(/ 1 (* y (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))) |
(* -1 (/ (- (* -1 (/ (- (+ (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) (pow (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))) 2))) (/ z (pow (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))) 2))) (/ x (pow (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))) 2))) y)) (/ 1 (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))) y)) |
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (- x (+ z (* 1/2 (+ (log -1) (* -1 (log (/ -1 y))))))) (- (+ (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) (pow (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))) 2))) (/ z (pow (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))) 2))) (/ x (pow (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))) 2)))) (* y (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))))) (+ (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) (pow (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))) 2))) (/ z (pow (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))) 2)))) (/ x (pow (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))) 2))) y)) (/ 1 (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))) y)) |
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- x (+ z (* 1/2 (+ (log -1) (* -1 (log (/ -1 y))))))) 2) (- (+ (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) (pow (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))) 2))) (/ z (pow (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))) 2))) (/ x (pow (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))) 2)))) (* y (pow (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))) 2)))) (* -1 (/ (* (- x (+ z (* 1/2 (+ (log -1) (* -1 (log (/ -1 y))))))) (- (+ (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) (pow (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))) 2))) (/ z (pow (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))) 2))) (/ x (pow (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))) 2)))) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))))) y)) (+ (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) (pow (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))) 2))) (/ z (pow (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))) 2)))) (/ x (pow (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))) 2))) y)) (/ 1 (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))) y)) |
(/ 1 (- y (+ z (* (log y) (+ 1/2 y))))) |
(+ (* -1 (/ x (pow (- y (+ z (* (log y) (+ 1/2 y)))) 2))) (/ 1 (- y (+ z (* (log y) (+ 1/2 y)))))) |
(+ (* x (- (/ x (pow (- y (+ z (* (log y) (+ 1/2 y)))) 3)) (/ 1 (pow (- y (+ z (* (log y) (+ 1/2 y)))) 2)))) (/ 1 (- y (+ z (* (log y) (+ 1/2 y)))))) |
(+ (* x (- (* x (+ (* -1 (/ x (pow (- y (+ z (* (log y) (+ 1/2 y)))) 4))) (/ 1 (pow (- y (+ z (* (log y) (+ 1/2 y)))) 3)))) (/ 1 (pow (- y (+ z (* (log y) (+ 1/2 y)))) 2)))) (/ 1 (- y (+ z (* (log y) (+ 1/2 y)))))) |
(/ 1 x) |
(/ (- (+ 1 (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x))) (/ y x)) x) |
(/ (- (+ 1 (+ (* -1 (/ (* (- y (+ z (* (log y) (+ 1/2 y)))) (- (+ z (* (log y) (+ 1/2 y))) y)) (pow x 2))) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x)))) (/ y x)) x) |
(/ (- (+ 1 (+ (/ z x) (+ (/ (* (log y) (+ 1/2 y)) x) (/ (* (pow (- y (+ z (* (log y) (+ 1/2 y)))) 2) (- (+ z (* (log y) (+ 1/2 y))) y)) (pow x 3))))) (+ (/ y x) (/ (* (- y (+ z (* (log y) (+ 1/2 y)))) (- (+ z (* (log y) (+ 1/2 y))) y)) (pow x 2)))) x) |
(/ 1 x) |
(* -1 (/ (- (* -1 (/ (- (+ z (* (log y) (+ 1/2 y))) y) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (+ z (+ (* -1 (/ (* (- y (+ z (* (log y) (+ 1/2 y)))) (- (+ z (* (log y) (+ 1/2 y))) y)) x)) (* (log y) (+ 1/2 y)))) y) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (+ z (+ (* -1 (/ (- (* -1 (/ (* (pow (- y (+ z (* (log y) (+ 1/2 y)))) 2) (- (+ z (* (log y) (+ 1/2 y))) y)) x)) (* -1 (* (- y (+ z (* (log y) (+ 1/2 y)))) (- (+ z (* (log y) (+ 1/2 y))) y)))) x)) (* (log y) (+ 1/2 y)))) y) x)) 1) x)) |
(/ 1 (- (+ x y) (* (log y) (+ 1/2 y)))) |
(+ (/ 1 (- (+ x y) (* (log y) (+ 1/2 y)))) (/ z (pow (- (+ x y) (* (log y) (+ 1/2 y))) 2))) |
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(/ -1 z) |
(/ (- (/ (* (log y) (+ 1/2 y)) z) (+ 1 (+ (/ x z) (/ y z)))) z) |
(/ (- (+ (/ (* (log y) (+ 1/2 y)) z) (/ (* (- (* (log y) (+ 1/2 y)) (+ x y)) (- (+ x y) (* (log y) (+ 1/2 y)))) (pow z 2))) (+ 1 (+ (/ x z) (/ y z)))) z) |
(/ (- (+ (/ (* (log y) (+ 1/2 y)) z) (/ (* (- (* (log y) (+ 1/2 y)) (+ x y)) (pow (- (+ x y) (* (log y) (+ 1/2 y))) 2)) (pow z 3))) (+ 1 (+ (* -1 (/ (* (- (* (log y) (+ 1/2 y)) (+ x y)) (- (+ x y) (* (log y) (+ 1/2 y)))) (pow z 2))) (+ (/ x z) (/ y z))))) z) |
(/ -1 z) |
(* -1 (/ (+ 1 (* -1 (/ (- (* (log y) (+ 1/2 y)) (+ x y)) z))) z)) |
(* -1 (/ (+ 1 (* -1 (/ (- (+ (* (log y) (+ 1/2 y)) (/ (* (- (* (log y) (+ 1/2 y)) (+ x y)) (- (+ x y) (* (log y) (+ 1/2 y)))) z)) (+ x y)) z))) z)) |
(* -1 (/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (- (* (log y) (+ 1/2 y)) (+ x y)) (pow (- (+ x y) (* (log y) (+ 1/2 y))) 2)) z)) (* (- (* (log y) (+ 1/2 y)) (+ x y)) (- (+ x y) (* (log y) (+ 1/2 y))))) z)) (* (log y) (+ 1/2 y))) (+ x y)) z))) z)) |
(- x (+ z (* 1/2 (log y)))) |
(- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y)))) |
(- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y)))) |
(- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y)))) |
(* 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))))))))) |
(- 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 y) (* (log y) (+ 1/2 y))) |
(- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y))) |
(- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y))) |
(- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y))) |
(* -1 z) |
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z)))) |
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z)))) |
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z)))) |
(* -1 z) |
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z))))) |
(* -1 (+ z (* (log y) (+ 1/2 y)))) |
(- x (+ z (* (log y) (+ 1/2 y)))) |
(- x (+ z (* (log y) (+ 1/2 y)))) |
(- x (+ z (* (log y) (+ 1/2 y)))) |
x |
(* x (+ 1 (* -1 (/ (+ z (* (log y) (+ 1/2 y))) x)))) |
(* x (+ 1 (* -1 (/ (+ z (* (log y) (+ 1/2 y))) x)))) |
(* x (+ 1 (* -1 (/ (+ z (* (log y) (+ 1/2 y))) x)))) |
x |
(* -1 (* x (- (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x)) 1))) |
(* -1 (* x (- (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x)) 1))) |
(* -1 (* x (- (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x)) 1))) |
(- x (+ z (* 1/2 (log y)))) |
(- (+ x (* -1 (* y (log y)))) (+ z (* 1/2 (log y)))) |
(- (+ x (* -1 (* y (log y)))) (+ z (* 1/2 (log y)))) |
(- (+ x (* -1 (* y (log y)))) (+ z (* 1/2 (log y)))) |
(* y (log (/ 1 y))) |
(* y (- (/ x y) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y))))) |
(* y (- (/ x y) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y))))) |
(* y (- (/ x y) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y))))) |
(* -1 (* y (+ (log -1) (* -1 (log (/ -1 y)))))) |
(* -1 (* y (- (* -1 (/ (- x (+ z (* 1/2 (+ (log -1) (* -1 (log (/ -1 y))))))) y)) (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))) |
(* -1 (* y (- (* -1 (/ (- x (+ z (* 1/2 (+ (log -1) (* -1 (log (/ -1 y))))))) y)) (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))) |
(* -1 (* y (- (* -1 (/ (- x (+ z (* 1/2 (+ (log -1) (* -1 (log (/ -1 y))))))) y)) (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))) |
(- x (* (log y) (+ 1/2 y))) |
(- (+ x (* -1 z)) (* (log y) (+ 1/2 y))) |
(- (+ x (* -1 z)) (* (log y) (+ 1/2 y))) |
(- (+ x (* -1 z)) (* (log y) (+ 1/2 y))) |
(* -1 z) |
(* z (- (/ x z) (+ 1 (/ (* (log y) (+ 1/2 y)) z)))) |
(* z (- (/ x z) (+ 1 (/ (* (log y) (+ 1/2 y)) z)))) |
(* z (- (/ x z) (+ 1 (/ (* (log y) (+ 1/2 y)) z)))) |
(* -1 z) |
(* -1 (* z (+ 1 (* -1 (/ (- x (* (log y) (+ 1/2 y))) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (- x (* (log y) (+ 1/2 y))) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (- x (* (log y) (+ 1/2 y))) z))))) |
(+ z (* 1/2 (log y))) |
(+ z (+ (* 1/2 (log y)) (* y (log y)))) |
(+ z (+ (* 1/2 (log y)) (* y (log y)))) |
(+ z (+ (* 1/2 (log y)) (* y (log y)))) |
(* -1 (* y (log (/ 1 y)))) |
(* y (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y)))) |
(* y (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y)))) |
(* y (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y)))) |
(* y (+ (log -1) (* -1 (log (/ -1 y))))) |
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1 (/ (+ z (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y))))) |
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1 (/ (+ z (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y))))) |
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1 (/ (+ z (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y))))) |
(* (log y) (+ 1/2 y)) |
(+ z (* (log y) (+ 1/2 y))) |
(+ z (* (log y) (+ 1/2 y))) |
(+ z (* (log y) (+ 1/2 y))) |
z |
(* z (+ 1 (/ (* (log y) (+ 1/2 y)) z))) |
(* z (+ 1 (/ (* (log y) (+ 1/2 y)) z))) |
(* z (+ 1 (/ (* (log y) (+ 1/2 y)) z))) |
z |
(* -1 (* z (- (* -1 (/ (* (log y) (+ 1/2 y)) z)) 1))) |
(* -1 (* z (- (* -1 (/ (* (log y) (+ 1/2 y)) z)) 1))) |
(* -1 (* z (- (* -1 (/ (* (log y) (+ 1/2 y)) z)) 1))) |
| Outputs |
|---|
(- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) |
(-.f64 y (fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) z)) |
(- (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z) |
(+.f64 x (-.f64 y (fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) z))) |
(- (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z) |
(+.f64 x (-.f64 y (fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) z))) |
(- (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z) |
(+.f64 x (-.f64 y (fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) z))) |
x |
(* x (- (+ 1 (+ (* -1 (/ (* (log y) (+ 1/2 y)) x)) (/ y x))) (/ z x))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 y (fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) z)) x))) |
(* x (- (+ 1 (+ (* -1 (/ (* (log y) (+ 1/2 y)) x)) (/ y x))) (/ z x))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 y (fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) z)) x))) |
(* x (- (+ 1 (+ (* -1 (/ (* (log y) (+ 1/2 y)) x)) (/ y x))) (/ z x))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 y (fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) z)) x))) |
x |
(* -1 (* x (- (* -1 (/ (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) x)) 1))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 y (fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) z)) x)) (neg.f64 x)) |
(* -1 (* x (- (* -1 (/ (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) x)) 1))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 y (fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) z)) x)) (neg.f64 x)) |
(* -1 (* x (- (* -1 (/ (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) x)) 1))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 y (fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) z)) x)) (neg.f64 x)) |
(- (+ x (* -1/2 (log y))) z) |
(fma.f64 (log.f64 y) #s(literal -1/2 binary64) (-.f64 x z)) |
(- (+ x (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y)))))) z) |
(+.f64 x (-.f64 y (fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) z))) |
(- (+ x (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y)))))) z) |
(+.f64 x (-.f64 y (fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) z))) |
(- (+ x (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y)))))) z) |
(+.f64 x (-.f64 y (fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) z))) |
(* y (+ 1 (log (/ 1 y)))) |
(fma.f64 (log.f64 y) (neg.f64 y) y) |
(* y (- (+ 1 (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y)))) (/ z y))) |
(+.f64 y (*.f64 y (+.f64 (-.f64 (/.f64 (*.f64 (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 y (+.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 y (+.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))) |
(fma.f64 y (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64))) y) |
(* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) z) y)))) 1))) |
(*.f64 y (+.f64 (/.f64 (fma.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 #s(literal 1 binary64) (-.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 (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) z) y)))) 1))) |
(*.f64 y (+.f64 (/.f64 (fma.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 #s(literal 1 binary64) (-.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 (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) z) y)))) 1))) |
(*.f64 y (+.f64 (/.f64 (fma.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 #s(literal 1 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64)))))) |
(+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) |
(+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) x) |
(+ x (+ y (+ (* -1 z) (* -1 (* (log y) (+ 1/2 y)))))) |
(+.f64 x (-.f64 y (fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) z))) |
(+ x (+ y (+ (* -1 z) (* -1 (* (log y) (+ 1/2 y)))))) |
(+.f64 x (-.f64 y (fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) z))) |
(+ x (+ y (+ (* -1 z) (* -1 (* (log y) (+ 1/2 y)))))) |
(+.f64 x (-.f64 y (fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) z))) |
(* -1 z) |
(neg.f64 z) |
(* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z))) 1)) |
(fma.f64 z (+.f64 (/.f64 x z) (/.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) z)) (neg.f64 z)) |
(* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z))) 1)) |
(fma.f64 z (+.f64 (/.f64 x z) (/.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) z)) (neg.f64 z)) |
(* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z))) 1)) |
(fma.f64 z (+.f64 (/.f64 x z) (/.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) z)) (neg.f64 z)) |
(* -1 z) |
(neg.f64 z) |
(* -1 (* z (+ 1 (* -1 (/ (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z))))) |
(fma.f64 z (/.f64 (+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) x) z) (neg.f64 z)) |
(* -1 (* z (+ 1 (* -1 (/ (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z))))) |
(fma.f64 z (/.f64 (+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) x) z) (neg.f64 z)) |
(* -1 (* z (+ 1 (* -1 (/ (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z))))) |
(fma.f64 z (/.f64 (+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) x) z) (neg.f64 z)) |
(+ y (* -1 (* (log y) (+ 1/2 y)))) |
(fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) |
(+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) |
(+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) x) |
(+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) |
(+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) x) |
(+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) |
(+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) x) |
x |
(* x (+ 1 (+ (* -1 (/ (* (log y) (+ 1/2 y)) x)) (/ y x)))) |
(fma.f64 x (/.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) x) x) |
(* x (+ 1 (+ (* -1 (/ (* (log y) (+ 1/2 y)) x)) (/ y x)))) |
(fma.f64 x (/.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) x) x) |
(* x (+ 1 (+ (* -1 (/ (* (log y) (+ 1/2 y)) x)) (/ y x)))) |
(fma.f64 x (/.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) x) x) |
x |
(* -1 (* x (- (* -1 (/ (+ y (* -1 (* (log y) (+ 1/2 y)))) x)) 1))) |
(neg.f64 (*.f64 x (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) x)))) |
(* -1 (* x (- (* -1 (/ (+ y (* -1 (* (log y) (+ 1/2 y)))) x)) 1))) |
(neg.f64 (*.f64 x (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) x)))) |
(* -1 (* x (- (* -1 (/ (+ y (* -1 (* (log y) (+ 1/2 y)))) x)) 1))) |
(neg.f64 (*.f64 x (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) x)))) |
(+ x (* -1/2 (log y))) |
(fma.f64 (log.f64 y) #s(literal -1/2 binary64) x) |
(+ x (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y)))))) |
(+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) x) |
(+ x (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y)))))) |
(+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) x) |
(+ x (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y)))))) |
(+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) x) |
(* y (+ 1 (log (/ 1 y)))) |
(fma.f64 (log.f64 y) (neg.f64 y) y) |
(* y (+ 1 (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y))))) |
(fma.f64 y (+.f64 (/.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64)) y) (-.f64 (/.f64 x y) (log.f64 y))) y) |
(* y (+ 1 (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y))))) |
(fma.f64 y (+.f64 (/.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64)) y) (-.f64 (/.f64 x y) (log.f64 y))) y) |
(* y (+ 1 (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y))))) |
(fma.f64 y (+.f64 (/.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64)) y) (-.f64 (/.f64 x y) (log.f64 y))) y) |
(* -1 (* y (- (+ (log -1) (* -1 (log (/ -1 y)))) 1))) |
(fma.f64 y (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64))) y) |
(* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)))) 1))) |
(neg.f64 (fma.f64 y (-.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64))) x) y))) (neg.f64 y))) |
(* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)))) 1))) |
(neg.f64 (fma.f64 y (-.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64))) x) y))) (neg.f64 y))) |
(* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)))) 1))) |
(neg.f64 (fma.f64 y (-.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64))) x) y))) (neg.f64 y))) |
(* -1/2 (log y)) |
(*.f64 (log.f64 y) #s(literal -1/2 binary64)) |
(+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y))))) |
(fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) |
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(*.f64 z (+.f64 (/.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x) z) #s(literal -1 binary64))) |
(* z (- (/ x z) (+ 1 (/ (* (log y) (+ 1/2 y)) z)))) |
(*.f64 z (+.f64 (/.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x) z) #s(literal -1 binary64))) |
(* z (- (/ x z) (+ 1 (/ (* (log y) (+ 1/2 y)) z)))) |
(*.f64 z (+.f64 (/.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x) z) #s(literal -1 binary64))) |
(* -1 z) |
(neg.f64 z) |
(* -1 (* z (+ 1 (* -1 (/ (- x (* (log y) (+ 1/2 y))) z))))) |
(fma.f64 z (/.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x) z) (neg.f64 z)) |
(* -1 (* z (+ 1 (* -1 (/ (- x (* (log y) (+ 1/2 y))) z))))) |
(fma.f64 z (/.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x) z) (neg.f64 z)) |
(* -1 (* z (+ 1 (* -1 (/ (- x (* (log y) (+ 1/2 y))) z))))) |
(fma.f64 z (/.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x) z) (neg.f64 z)) |
(+ z (* 1/2 (log y))) |
(fma.f64 (log.f64 y) #s(literal 1/2 binary64) z) |
(+ z (+ (* 1/2 (log y)) (* y (log y)))) |
(fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) z) |
(+ z (+ (* 1/2 (log y)) (* y (log y)))) |
(fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) z) |
(+ z (+ (* 1/2 (log y)) (* y (log y)))) |
(fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) z) |
(* -1 (* y (log (/ 1 y)))) |
(*.f64 y (log.f64 y)) |
(* y (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y)))) |
(*.f64 y (+.f64 (log.f64 y) (+.f64 (/.f64 z y) (/.f64 (*.f64 (log.f64 y) #s(literal 1/2 binary64)) y)))) |
(* y (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y)))) |
(*.f64 y (+.f64 (log.f64 y) (+.f64 (/.f64 z y) (/.f64 (*.f64 (log.f64 y) #s(literal 1/2 binary64)) y)))) |
(* y (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y)))) |
(*.f64 y (+.f64 (log.f64 y) (+.f64 (/.f64 z y) (/.f64 (*.f64 (log.f64 y) #s(literal 1/2 binary64)) y)))) |
(* y (+ (log -1) (* -1 (log (/ -1 y))))) |
(*.f64 y (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y)))) |
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1 (/ (+ z (* 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 (fma.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) z) y))) |
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1 (/ (+ z (* 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 (fma.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) z) y))) |
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1 (/ (+ z (* 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 (fma.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) z) y))) |
(* (log y) (+ 1/2 y)) |
(*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))) |
(+ z (* (log y) (+ 1/2 y))) |
(fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) z) |
(+ z (* (log y) (+ 1/2 y))) |
(fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) z) |
(+ z (* (log y) (+ 1/2 y))) |
(fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) z) |
z |
(* z (+ 1 (/ (* (log y) (+ 1/2 y)) z))) |
(fma.f64 (log.f64 y) (*.f64 (/.f64 (+.f64 y #s(literal 1/2 binary64)) z) z) z) |
(* z (+ 1 (/ (* (log y) (+ 1/2 y)) z))) |
(fma.f64 (log.f64 y) (*.f64 (/.f64 (+.f64 y #s(literal 1/2 binary64)) z) z) z) |
(* z (+ 1 (/ (* (log y) (+ 1/2 y)) z))) |
(fma.f64 (log.f64 y) (*.f64 (/.f64 (+.f64 y #s(literal 1/2 binary64)) z) z) z) |
z |
(* -1 (* z (- (* -1 (/ (* (log y) (+ 1/2 y)) z)) 1))) |
(fma.f64 (log.f64 y) (*.f64 (/.f64 (+.f64 y #s(literal 1/2 binary64)) z) z) z) |
(* -1 (* z (- (* -1 (/ (* (log y) (+ 1/2 y)) z)) 1))) |
(fma.f64 (log.f64 y) (*.f64 (/.f64 (+.f64 y #s(literal 1/2 binary64)) z) z) z) |
(* -1 (* z (- (* -1 (/ (* (log y) (+ 1/2 y)) z)) 1))) |
(fma.f64 (log.f64 y) (*.f64 (/.f64 (+.f64 y #s(literal 1/2 binary64)) z) z) z) |
Compiled 31 365 to 2 603 computations (91.7% saved)
24 alts after pruning (21 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 041 | 12 | 1 053 |
| Fresh | 2 | 9 | 11 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 045 | 24 | 1 069 |
| Status | Accuracy | Program |
|---|---|---|
| 39.4% | (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) | |
| ✓ | 30.8% | (fma.f64 (log.f64 y) (neg.f64 y) y) |
| ▶ | 70.3% | (fma.f64 (log.f64 y) #s(literal -1/2 binary64) (-.f64 x z)) |
| 79.4% | (fma.f64 x (/.f64 (-.f64 y (fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) z)) x) x) | |
| 49.6% | (/.f64 (fma.f64 (*.f64 (+.f64 y z) (-.f64 y z)) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)) (*.f64 (+.f64 y z) #s(literal 1 binary64))) (*.f64 (+.f64 y z) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)))) | |
| 30.2% | (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (log.f64 y) #s(literal 1/2 binary64)) (*.f64 y (pow.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) #s(literal 2 binary64)))) (+.f64 (/.f64 z (*.f64 y (pow.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) #s(literal 2 binary64)))) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (log.f64 y))) (/.f64 x (*.f64 y (pow.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) #s(literal 2 binary64))))))) y)) | |
| ▶ | 30.8% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 y) (neg.f64 y) y))) |
| 33.0% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 y (neg.f64 z)))) | |
| ▶ | 29.1% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 y x))) |
| 29.7% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) | |
| 33.3% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z)) | |
| ✓ | 70.5% | (-.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) z) |
| 62.0% | (-.f64 (fma.f64 (log.f64 y) (neg.f64 y) y) z) | |
| 41.3% | (-.f64 (fma.f64 (log.f64 y) #s(literal -1/2 binary64) y) z) | |
| 99.7% | (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x))) y) z) | |
| ▶ | 99.8% | (-.f64 (+.f64 (-.f64 x (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64))))) y) z) |
| 60.7% | (-.f64 (+.f64 x y) z) | |
| 42.1% | (-.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64)) z) | |
| 30.8% | (-.f64 y (*.f64 y (log.f64 y))) | |
| 61.3% | (-.f64 x z) | |
| 68.0% | (+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) x) | |
| 78.2% | (*.f64 z (fma.f64 (log.f64 y) (/.f64 (-.f64 #s(literal -1/2 binary64) y) z) (fma.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 y x) #s(literal -1 binary64)))) | |
| ▶ | 33.3% | (neg.f64 z) |
| ✓ | 29.7% | x |
Compiled 627 to 383 computations (38.9% saved)
| 1× | egg-herbie |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (log.f64 y) |
| ✓ | cost-diff | 0 | (fma.f64 (log.f64 y) (neg.f64 y) y) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 y) (neg.f64 y) y)) |
| ✓ | cost-diff | 1408 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 y) (neg.f64 y) y))) |
| ✓ | cost-diff | 0 | (-.f64 x z) |
| ✓ | cost-diff | 0 | (log.f64 y) |
| ✓ | cost-diff | 0 | (fma.f64 (log.f64 y) #s(literal -1/2 binary64) (-.f64 x z)) |
| ✓ | cost-diff | 0 | (+.f64 y x) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (+.f64 y x)) |
| ✓ | cost-diff | 1408 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 y x))) |
| ✓ | cost-diff | 0 | (neg.f64 z) |
| ✓ | cost-diff | 0 | (+.f64 (-.f64 x (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64))))) y) |
| ✓ | cost-diff | 0 | (-.f64 (+.f64 (-.f64 x (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64))))) y) z) |
| ✓ | cost-diff | 128 | (-.f64 x (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64))))) |
| ✓ | cost-diff | 1088 | (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64)))) |
| 4 320× | accelerator-lowering-fma.f32 |
| 4 320× | accelerator-lowering-fma.f64 |
| 1 048× | +-lowering-+.f64 |
| 1 048× | --lowering--.f32 |
| 1 048× | +-lowering-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 122 |
| 1 | 56 | 111 |
| 2 | 146 | 111 |
| 3 | 418 | 111 |
| 4 | 1046 | 111 |
| 5 | 2484 | 111 |
| 6 | 3262 | 111 |
| 7 | 3608 | 111 |
| 8 | 3759 | 111 |
| 9 | 3828 | 111 |
| 10 | 3830 | 111 |
| 11 | 3843 | 111 |
| 12 | 3863 | 111 |
| 13 | 3871 | 111 |
| 14 | 3871 | 111 |
| 15 | 3906 | 111 |
| 16 | 3906 | 111 |
| 0 | 3906 | 107 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(- (+ (- 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 |
(neg z) |
z |
(/ 1 (/ 1 (+ y x))) |
1 |
(/ 1 (+ y x)) |
(+ y x) |
y |
x |
(+ (* (log y) -1/2) (- x z)) |
(log y) |
y |
-1/2 |
(- x z) |
x |
z |
(/ 1 (/ 1 (+ (* (log y) (neg y)) y))) |
1 |
(/ 1 (+ (* (log y) (neg y)) y)) |
(+ (* (log y) (neg y)) y) |
(log y) |
y |
(neg y) |
| Outputs |
|---|
(- (+ (- x (/ (log y) (/ 1 (+ y 1/2)))) y) z) |
(+.f64 x (-.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) z)) |
(+ (- x (/ (log y) (/ 1 (+ y 1/2)))) y) |
(+.f64 x (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y)) |
(- x (/ (log y) (/ 1 (+ y 1/2)))) |
(fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x) |
x |
(/ (log y) (/ 1 (+ y 1/2))) |
(*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))) |
(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 |
(neg z) |
(neg.f64 z) |
z |
(/ 1 (/ 1 (+ y x))) |
(+.f64 x y) |
1 |
#s(literal 1 binary64) |
(/ 1 (+ y x)) |
(/.f64 #s(literal 1 binary64) (+.f64 x y)) |
(+ y x) |
(+.f64 x y) |
y |
x |
(+ (* (log y) -1/2) (- x z)) |
(fma.f64 (log.f64 y) #s(literal -1/2 binary64) (-.f64 x z)) |
(log y) |
(log.f64 y) |
y |
-1/2 |
#s(literal -1/2 binary64) |
(- x z) |
(-.f64 x z) |
x |
z |
(/ 1 (/ 1 (+ (* (log y) (neg y)) y))) |
(fma.f64 (log.f64 y) (neg.f64 y) y) |
1 |
#s(literal 1 binary64) |
(/ 1 (+ (* (log y) (neg y)) y)) |
(/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 y) (neg.f64 y) y)) |
(+ (* (log y) (neg y)) y) |
(fma.f64 (log.f64 y) (neg.f64 y) y) |
(log y) |
(log.f64 y) |
y |
(neg y) |
(neg.f64 y) |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (log.f64 y) |
| ✓ | accuracy | 99.6% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 y) (neg.f64 y) y))) |
| ✓ | accuracy | 99.6% | (fma.f64 (log.f64 y) (neg.f64 y) y) |
| ✓ | accuracy | 98.8% | (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 y) (neg.f64 y) y)) |
| ✓ | accuracy | 100.0% | (-.f64 x z) |
| ✓ | accuracy | 100.0% | (log.f64 y) |
| ✓ | accuracy | 100.0% | (fma.f64 (log.f64 y) #s(literal -1/2 binary64) (-.f64 x z)) |
| ✓ | accuracy | 100.0% | (+.f64 y x) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) (+.f64 y x)) |
| ✓ | accuracy | 99.7% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 y x))) |
| ✓ | accuracy | 100.0% | (neg.f64 z) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64))) |
| ✓ | accuracy | 100.0% | (-.f64 x (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64))))) |
| ✓ | accuracy | 99.8% | (+.f64 (-.f64 x (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64))))) y) |
| ✓ | accuracy | 99.6% | (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64)))) |
| 45.0ms | 256× | 0 | valid |
Compiled 128 to 27 computations (78.9% saved)
ival-div: 9.0ms (31% of total)ival-add: 6.0ms (20.6% of total)ival-log: 5.0ms (17.2% of total)ival-sub: 4.0ms (13.8% of total)ival-mult: 3.0ms (10.3% of total)ival-neg: 2.0ms (6.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ (log y) (/ 1 (+ y 1/2)))> |
#<alt (- x (/ (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 (neg z)> |
#<alt (/ 1 (/ 1 (+ y x)))> |
#<alt (/ 1 (+ y x))> |
#<alt (+ y x)> |
#<alt (+ (* (log y) -1/2) (- x z))> |
#<alt (log y)> |
#<alt (- x z)> |
#<alt (/ 1 (/ 1 (+ (* (log y) (neg y)) y)))> |
#<alt (/ 1 (+ (* (log y) (neg y)) y))> |
#<alt (+ (* (log y) (neg y)) y)> |
#<alt (/ 1 (+ 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 (* -1 (* (log y) (+ 1/2 y)))> |
#<alt (- x (* (log y) (+ 1/2 y)))> |
#<alt (- x (* (log y) (+ 1/2 y)))> |
#<alt (- x (* (log y) (+ 1/2 y)))> |
#<alt x> |
#<alt (* x (+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x))))> |
#<alt (* x (+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x))))> |
#<alt (* x (+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x))))> |
#<alt x> |
#<alt (* -1 (* x (- (/ (* (log y) (+ 1/2 y)) x) 1)))> |
#<alt (* -1 (* x (- (/ (* (log y) (+ 1/2 y)) x) 1)))> |
#<alt (* -1 (* x (- (/ (* (log y) (+ 1/2 y)) x) 1)))> |
#<alt (- x (* 1/2 (log y)))> |
#<alt (- (+ x (* -1 (* y (log y)))) (* 1/2 (log y)))> |
#<alt (- (+ x (* -1 (* y (log y)))) (* 1/2 (log y)))> |
#<alt (- (+ x (* -1 (* y (log y)))) (* 1/2 (log y)))> |
#<alt (* y (log (/ 1 y)))> |
#<alt (* y (- (/ x y) (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y)))))> |
#<alt (* y (- (/ x y) (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y)))))> |
#<alt (* y (- (/ x y) (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y)))))> |
#<alt (* -1 (* y (+ (log -1) (* -1 (log (/ -1 y))))))> |
#<alt (* -1 (* y (- (* -1 (/ (- x (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))))> |
#<alt (* -1 (* y (- (* -1 (/ (- x (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))))> |
#<alt (* -1 (* y (- (* -1 (/ (- x (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))))> |
#<alt (- y (+ z (* (log y) (+ 1/2 y))))> |
#<alt (- (+ x y) (+ z (* (log y) (+ 1/2 y))))> |
#<alt (- (+ x y) (+ z (* (log y) (+ 1/2 y))))> |
#<alt (- (+ x y) (+ z (* (log y) (+ 1/2 y))))> |
#<alt x> |
#<alt (* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x))))> |
#<alt (* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x))))> |
#<alt (* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x))))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1)))> |
#<alt (- x (+ z (* 1/2 (log y))))> |
#<alt (- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y))))> |
#<alt (- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y))))> |
#<alt (- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y))))> |
#<alt (* y (- 1 (* -1 (log (/ 1 y)))))> |
#<alt (* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y)))))> |
#<alt (* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y)))))> |
#<alt (* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y)))))> |
#<alt (* y (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))> |
#<alt (* -1 (* y (- (* -1 (/ (- x (+ z (* 1/2 (+ (log -1) (* -1 (log (/ -1 y))))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))))> |
#<alt (* -1 (* y (- (* -1 (/ (- x (+ z (* 1/2 (+ (log -1) (* -1 (log (/ -1 y))))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))))> |
#<alt (* -1 (* y (- (* -1 (/ (- x (+ z (* 1/2 (+ (log -1) (* -1 (log (/ -1 y))))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))))> |
#<alt (- (+ x y) (* (log y) (+ 1/2 y)))> |
#<alt (- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y)))> |
#<alt (- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y)))> |
#<alt (- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y)))> |
#<alt (* -1 z)> |
#<alt (* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z))))> |
#<alt (* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z))))> |
#<alt (* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z))))> |
#<alt (* -1 z)> |
#<alt (* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z)))))> |
#<alt (* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z)))))> |
#<alt (* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z)))))> |
#<alt (- y (* (log y) (+ 1/2 y)))> |
#<alt (- (+ x y) (* (log y) (+ 1/2 y)))> |
#<alt (- (+ x y) (* (log y) (+ 1/2 y)))> |
#<alt (- (+ x y) (* (log y) (+ 1/2 y)))> |
#<alt x> |
#<alt (* x (- (+ 1 (/ y x)) (/ (* (log y) (+ 1/2 y)) x)))> |
#<alt (* x (- (+ 1 (/ y x)) (/ (* (log y) (+ 1/2 y)) x)))> |
#<alt (* x (- (+ 1 (/ y x)) (/ (* (log y) (+ 1/2 y)) x)))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (- y (* (log y) (+ 1/2 y))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (- y (* (log y) (+ 1/2 y))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (- y (* (log y) (+ 1/2 y))) x)) 1)))> |
#<alt (- x (* 1/2 (log y)))> |
#<alt (- (+ x (* y (- 1 (log y)))) (* 1/2 (log y)))> |
#<alt (- (+ x (* y (- 1 (log y)))) (* 1/2 (log y)))> |
#<alt (- (+ x (* y (- 1 (log y)))) (* 1/2 (log y)))> |
#<alt (* y (- 1 (* -1 (log (/ 1 y)))))> |
#<alt (* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y)))))> |
#<alt (* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y)))))> |
#<alt (* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y)))))> |
#<alt (* y (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))> |
#<alt (* -1 (* y (- (* -1 (/ (- x (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))))> |
#<alt (* -1 (* y (- (* -1 (/ (- x (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))))> |
#<alt (* -1 (* y (- (* -1 (/ (- x (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))))> |
#<alt (* -1 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 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 x)> |
#<alt (+ (* -1 (/ y (pow x 2))) (/ 1 x))> |
#<alt (+ (* y (- (/ y (pow x 3)) (/ 1 (pow x 2)))) (/ 1 x))> |
#<alt (+ (* y (- (* y (+ (* -1 (/ y (pow x 4))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x))> |
#<alt (/ 1 y)> |
#<alt (/ (+ 1 (* -1 (/ x y))) y)> |
#<alt (/ (- (+ 1 (/ (pow x 2) (pow y 2))) (/ x y)) y)> |
#<alt (/ (- (+ 1 (* -1 (/ (pow x 3) (pow y 3)))) (+ (* -1 (/ (pow x 2) (pow y 2))) (/ x y))) y)> |
#<alt (/ 1 y)> |
#<alt (* -1 (/ (- (/ x y) 1) y))> |
#<alt (* -1 (/ (- (* -1 (/ (- (/ (pow x 2) y) x) y)) 1) y))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y)) x) y)) 1) y))> |
#<alt (/ 1 y)> |
#<alt (+ (* -1 (/ x (pow y 2))) (/ 1 y))> |
#<alt (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y))> |
#<alt (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))> |
#<alt (/ 1 x)> |
#<alt (/ (+ 1 (* -1 (/ y x))) x)> |
#<alt (/ (- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x)) x)> |
#<alt (/ (- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))) x)> |
#<alt (/ 1 x)> |
#<alt (* -1 (/ (- (/ y x) 1) x))> |
#<alt (* -1 (/ (- (* -1 (/ (- (/ (pow y 2) x) y) x)) 1) x))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow y 3) x) (pow y 2)) x)) y) x)) 1) x))> |
#<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 (- (+ x (* -1/2 (log y))) z)> |
#<alt (- (+ x (* -1/2 (log y))) z)> |
#<alt (- (+ x (* -1/2 (log y))) z)> |
#<alt (- (+ x (* -1/2 (log y))) z)> |
#<alt (- (+ x (* 1/2 (log (/ 1 y)))) z)> |
#<alt (- (+ x (* 1/2 (log (/ 1 y)))) z)> |
#<alt (- (+ x (* 1/2 (log (/ 1 y)))) z)> |
#<alt (- (+ x (* 1/2 (log (/ 1 y)))) z)> |
#<alt (- (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) z)> |
#<alt (- (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) z)> |
#<alt (- (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) z)> |
#<alt (- (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) z)> |
#<alt (- (* -1/2 (log y)) z)> |
#<alt (- (+ x (* -1/2 (log y))) z)> |
#<alt (- (+ x (* -1/2 (log y))) z)> |
#<alt (- (+ x (* -1/2 (log y))) z)> |
#<alt x> |
#<alt (* x (- (+ 1 (* -1/2 (/ (log y) x))) (/ z x)))> |
#<alt (* x (- (+ 1 (* -1/2 (/ (log y) x))) (/ z x)))> |
#<alt (* x (- (+ 1 (* -1/2 (/ (log y) x))) (/ z x)))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (- (* -1/2 (log y)) z) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (- (* -1/2 (log y)) z) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (- (* -1/2 (log y)) z) x)) 1)))> |
#<alt (+ x (* -1/2 (log y)))> |
#<alt (+ x (+ (* -1 z) (* -1/2 (log y))))> |
#<alt (+ x (+ (* -1 z) (* -1/2 (log y))))> |
#<alt (+ x (+ (* -1 z) (* -1/2 (log y))))> |
#<alt (* -1 z)> |
#<alt (* z (- (+ (* -1/2 (/ (log y) z)) (/ x z)) 1))> |
#<alt (* z (- (+ (* -1/2 (/ (log y) z)) (/ x z)) 1))> |
#<alt (* z (- (+ (* -1/2 (/ (log y) z)) (/ x z)) 1))> |
#<alt (* -1 z)> |
#<alt (* -1 (* z (+ 1 (* -1 (/ (+ x (* -1/2 (log y))) z)))))> |
#<alt (* -1 (* z (+ 1 (* -1 (/ (+ x (* -1/2 (log y))) z)))))> |
#<alt (* -1 (* z (+ 1 (* -1 (/ (+ x (* -1/2 (log y))) z)))))> |
#<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 z)> |
#<alt (- x z)> |
#<alt (- x z)> |
#<alt (- x 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 (* y (+ 1 (* -1 (log y))))> |
#<alt (* y (+ 1 (* -1 (log y))))> |
#<alt (* y (+ 1 (* -1 (log y))))> |
#<alt (* y (+ 1 (* -1 (log y))))> |
#<alt (* y (+ 1 (log (/ 1 y))))> |
#<alt (* y (+ 1 (log (/ 1 y))))> |
#<alt (* y (+ 1 (log (/ 1 y))))> |
#<alt (* y (+ 1 (log (/ 1 y))))> |
#<alt (* -1 (* y (- (+ (log -1) (* -1 (log (/ -1 y)))) 1)))> |
#<alt (* -1 (* y (- (+ (log -1) (* -1 (log (/ -1 y)))) 1)))> |
#<alt (* -1 (* y (- (+ (log -1) (* -1 (log (/ -1 y)))) 1)))> |
#<alt (* -1 (* y (- (+ (log -1) (* -1 (log (/ -1 y)))) 1)))> |
#<alt (/ 1 (* y (+ 1 (* -1 (log y)))))> |
#<alt (/ 1 (* y (+ 1 (* -1 (log y)))))> |
#<alt (/ 1 (* y (+ 1 (* -1 (log y)))))> |
#<alt (/ 1 (* y (+ 1 (* -1 (log y)))))> |
#<alt (/ 1 (* y (+ 1 (log (/ 1 y)))))> |
#<alt (/ 1 (* y (+ 1 (log (/ 1 y)))))> |
#<alt (/ 1 (* y (+ 1 (log (/ 1 y)))))> |
#<alt (/ 1 (* y (+ 1 (log (/ 1 y)))))> |
#<alt (/ -1 (* y (- (+ (log -1) (* -1 (log (/ -1 y)))) 1)))> |
#<alt (/ -1 (* y (- (+ (log -1) (* -1 (log (/ -1 y)))) 1)))> |
#<alt (/ -1 (* y (- (+ (log -1) (* -1 (log (/ -1 y)))) 1)))> |
#<alt (/ -1 (* y (- (+ (log -1) (* -1 (log (/ -1 y)))) 1)))> |
#<alt (* y (+ 1 (* -1 (log y))))> |
#<alt (* y (+ 1 (* -1 (log y))))> |
#<alt (* y (+ 1 (* -1 (log y))))> |
#<alt (* y (+ 1 (* -1 (log y))))> |
#<alt (* y (+ 1 (log (/ 1 y))))> |
#<alt (* y (+ 1 (log (/ 1 y))))> |
#<alt (* y (+ 1 (log (/ 1 y))))> |
#<alt (* y (+ 1 (log (/ 1 y))))> |
#<alt (* -1 (* y (- (+ (log -1) (* -1 (log (/ -1 y)))) 1)))> |
#<alt (* -1 (* y (- (+ (log -1) (* -1 (log (/ -1 y)))) 1)))> |
#<alt (* -1 (* y (- (+ (log -1) (* -1 (log (/ -1 y)))) 1)))> |
#<alt (* -1 (* y (- (+ (log -1) (* -1 (log (/ -1 y)))) 1)))> |
#<alt 2> |
#<alt (+ 2 (* -4 y))> |
#<alt (+ 2 (* y (- (* 8 y) 4)))> |
#<alt (+ 2 (* y (- (* y (+ 8 (* -16 y))) 4)))> |
#<alt (/ 1 y)> |
#<alt (/ (- 1 (* 1/2 (/ 1 y))) y)> |
#<alt (/ (- (+ 1 (/ 1/4 (pow y 2))) (* 1/2 (/ 1 y))) y)> |
#<alt (/ (- (+ 1 (/ 1/4 (pow y 2))) (+ (* 1/2 (/ 1 y)) (* 1/8 (/ 1 (pow y 3))))) y)> |
#<alt (/ 1 y)> |
#<alt (* -1 (/ (- (* 1/2 (/ 1 y)) 1) y))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 y)) 1/2) y)) 1) y))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 y)) 1/4) y)) 1/2) y)) 1) y))> |
75 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | y | @ | 0 | (/ 1 (+ y 1/2)) |
| 1.0ms | x | @ | 0 | (/ 1 (+ y x)) |
| 0.0ms | y | @ | -inf | (/ 1 (+ (* (log y) (neg y)) y)) |
| 0.0ms | y | @ | 0 | (/ 1 (+ (* (log y) (neg y)) y)) |
| 0.0ms | y | @ | inf | (/ 1 (+ (* (log y) (neg y)) y)) |
| 1× | batch-egg-rewrite |
| 4 988× | *-lowering-*.f32 |
| 4 988× | *-lowering-*.f64 |
| 4 306× | /-lowering-/.f32 |
| 4 306× | /-lowering-/.f64 |
| 4 288× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 98 |
| 1 | 181 | 87 |
| 2 | 1563 | 87 |
| 0 | 8919 | 86 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (log y) (/ 1 (+ y 1/2))) |
(- x (/ (log y) (/ 1 (+ y 1/2)))) |
(- (+ (- x (/ (log y) (/ 1 (+ y 1/2)))) y) z) |
(+ (- x (/ (log y) (/ 1 (+ y 1/2)))) y) |
(neg z) |
(/ 1 (/ 1 (+ y x))) |
(/ 1 (+ y x)) |
(+ y x) |
(+ (* (log y) -1/2) (- x z)) |
(log y) |
(- x z) |
(/ 1 (/ 1 (+ (* (log y) (neg y)) y))) |
(/ 1 (+ (* (log y) (neg y)) y)) |
(+ (* (log y) (neg y)) y) |
(/ 1 (+ y 1/2)) |
| Outputs |
|---|
(+.f64 (*.f64 y (log.f64 y)) (*.f64 (log.f64 y) #s(literal 1/2 binary64))) |
(+.f64 (*.f64 y (log.f64 y)) (*.f64 #s(literal 1/2 binary64) (log.f64 y))) |
(+.f64 (*.f64 (log.f64 y) #s(literal 1/2 binary64)) (*.f64 y (log.f64 y))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 y)) (*.f64 y (log.f64 y))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))))) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (+.f64 y #s(literal 1/2 binary64)))) (*.f64 (log.f64 y) (+.f64 #s(literal -1/2 binary64) (neg.f64 y)))) |
(fma.f64 y (log.f64 y) (*.f64 (log.f64 y) #s(literal 1/2 binary64))) |
(fma.f64 y (log.f64 y) (*.f64 #s(literal 1/2 binary64) (log.f64 y))) |
(fma.f64 (log.f64 y) y (*.f64 (log.f64 y) #s(literal 1/2 binary64))) |
(fma.f64 (log.f64 y) 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))) |
(fma.f64 #s(literal 1/2 binary64) (log.f64 y) (*.f64 y (log.f64 y))) |
(neg.f64 (*.f64 (log.f64 y) (+.f64 #s(literal -1/2 binary64) (neg.f64 y)))) |
(/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))))))) |
(/.f64 (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (log.f64 y)) (/.f64 #s(literal -1 binary64) (+.f64 y #s(literal 1/2 binary64)))) |
(/.f64 (*.f64 (log.f64 y) (+.f64 #s(literal -1/2 binary64) (neg.f64 y))) #s(literal -1 binary64)) |
(/.f64 (*.f64 (log.f64 y) (fma.f64 y (*.f64 y y) #s(literal 1/8 binary64))) (-.f64 (fma.f64 y y #s(literal 1/4 binary64)) (*.f64 y #s(literal 1/2 binary64)))) |
(/.f64 (*.f64 (log.f64 y) (fma.f64 y (*.f64 y y) #s(literal 1/8 binary64))) (*.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y y #s(literal 1/4 binary64)) (*.f64 y #s(literal 1/2 binary64))))) |
(/.f64 (*.f64 (log.f64 y) (fma.f64 y y #s(literal -1/4 binary64))) (+.f64 y #s(literal -1/2 binary64))) |
(/.f64 (*.f64 (log.f64 y) (fma.f64 y y #s(literal -1/4 binary64))) (*.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1/2 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (log.f64 y))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (log.f64 y)))) (/.f64 #s(literal -1 binary64) (+.f64 y #s(literal 1/2 binary64)))) |
(/.f64 (neg.f64 (*.f64 (log.f64 y) (fma.f64 y (*.f64 y y) #s(literal 1/8 binary64)))) (neg.f64 (-.f64 (fma.f64 y y #s(literal 1/4 binary64)) (*.f64 y #s(literal 1/2 binary64))))) |
(/.f64 (neg.f64 (*.f64 (log.f64 y) (fma.f64 y (*.f64 y y) #s(literal 1/8 binary64)))) (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y y #s(literal 1/4 binary64)) (*.f64 y #s(literal 1/2 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (log.f64 y) (fma.f64 y y #s(literal -1/4 binary64)))) (neg.f64 (+.f64 y #s(literal -1/2 binary64)))) |
(/.f64 (neg.f64 (*.f64 (log.f64 y) (fma.f64 y y #s(literal -1/4 binary64)))) (neg.f64 (*.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1/2 binary64))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 y (log.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (log.f64 y) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 y (log.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (log.f64 y) #s(literal 1/2 binary64)) (*.f64 (log.f64 y) #s(literal 1/2 binary64))) (*.f64 (*.f64 y (log.f64 y)) (*.f64 (log.f64 y) #s(literal 1/2 binary64)))))) |
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(/.f64 (neg.f64 (fma.f64 y (*.f64 y y) (neg.f64 (pow.f64 (*.f64 y (log.f64 y)) #s(literal 3 binary64))))) (neg.f64 (fma.f64 y (-.f64 y (neg.f64 (*.f64 y (log.f64 y)))) (pow.f64 (*.f64 y (log.f64 y)) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (fma.f64 y (*.f64 y y) (neg.f64 (pow.f64 (*.f64 y (log.f64 y)) #s(literal 3 binary64))))) (neg.f64 (fma.f64 y y (-.f64 (pow.f64 (*.f64 y (log.f64 y)) #s(literal 2 binary64)) (neg.f64 (*.f64 (*.f64 y (log.f64 y)) y)))))) |
(/.f64 (neg.f64 (fma.f64 y (*.f64 y y) (neg.f64 (pow.f64 (*.f64 y (log.f64 y)) #s(literal 3 binary64))))) (neg.f64 (*.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y (neg.f64 (*.f64 y (log.f64 y)))) (pow.f64 (*.f64 y (log.f64 y)) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y (log.f64 y)) #s(literal 2 binary64)) (*.f64 y y))) (neg.f64 (fma.f64 (log.f64 y) (neg.f64 y) (neg.f64 y)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y (log.f64 y)) #s(literal 2 binary64)) (*.f64 y y))) (neg.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (log.f64 y) (neg.f64 y) (neg.f64 y))))) |
(/.f64 (-.f64 (*.f64 y y) (pow.f64 (*.f64 y (log.f64 y)) #s(literal 2 binary64))) (-.f64 y (neg.f64 (*.f64 y (log.f64 y))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y y) (neg.f64 (pow.f64 (*.f64 y (log.f64 y)) #s(literal 3 binary64))))) (fma.f64 y (-.f64 y (neg.f64 (*.f64 y (log.f64 y)))) (pow.f64 (*.f64 y (log.f64 y)) #s(literal 2 binary64)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 y (log.f64 y)) #s(literal 2 binary64)) (*.f64 y y))) (fma.f64 (log.f64 y) (neg.f64 y) (neg.f64 y))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 y (log.f64 y)) #s(literal 2 binary64)) (fma.f64 (log.f64 y) (neg.f64 y) (neg.f64 y))) (*.f64 (fma.f64 (log.f64 y) (neg.f64 y) (neg.f64 y)) (*.f64 y y))) (*.f64 (fma.f64 (log.f64 y) (neg.f64 y) (neg.f64 y)) (fma.f64 (log.f64 y) (neg.f64 y) (neg.f64 y)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 y (*.f64 y y) (neg.f64 (pow.f64 (*.f64 y (log.f64 y)) #s(literal 3 binary64)))))) (neg.f64 (neg.f64 (fma.f64 y (-.f64 y (neg.f64 (*.f64 y (log.f64 y)))) (pow.f64 (*.f64 y (log.f64 y)) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y (log.f64 y)) #s(literal 2 binary64)) (*.f64 y y)))) (neg.f64 (neg.f64 (fma.f64 (log.f64 y) (neg.f64 y) (neg.f64 y))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 y y) (pow.f64 (*.f64 y (log.f64 y)) #s(literal 2 binary64)))) (neg.f64 (-.f64 y (neg.f64 (*.f64 y (log.f64 y)))))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y y) (neg.f64 (pow.f64 (*.f64 y (log.f64 y)) #s(literal 3 binary64)))))) (neg.f64 (fma.f64 y (-.f64 y (neg.f64 (*.f64 y (log.f64 y)))) (pow.f64 (*.f64 y (log.f64 y)) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 y (log.f64 y)) #s(literal 2 binary64)) (*.f64 y y)))) (neg.f64 (fma.f64 (log.f64 y) (neg.f64 y) (neg.f64 y)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 y (log.f64 y)))) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 1 binary64) y) (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 y (log.f64 y)))) (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 y (log.f64 y))))) (*.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 y (log.f64 y)))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 y (log.f64 y)))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) y) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 y (log.f64 y)))) (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 y (log.f64 y)))) (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 1 binary64) y)) (*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 y (log.f64 y)))) (*.f64 #s(literal 1 binary64) y))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (*.f64 y (log.f64 y))) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 y #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 (neg.f64 (*.f64 y (log.f64 y))) #s(literal 1 binary64)) (*.f64 (neg.f64 (*.f64 y (log.f64 y))) #s(literal 1 binary64))) (*.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 (neg.f64 (*.f64 y (log.f64 y))) #s(literal 1 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (neg.f64 (*.f64 y (log.f64 y))) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 y #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (neg.f64 (*.f64 y (log.f64 y))) #s(literal 1 binary64)) (*.f64 (neg.f64 (*.f64 y (log.f64 y))) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 y #s(literal 1 binary64))) (*.f64 (*.f64 (neg.f64 (*.f64 y (log.f64 y))) #s(literal 1 binary64)) (*.f64 y #s(literal 1 binary64)))))) |
(pow.f64 (-.f64 y (*.f64 y (log.f64 y))) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 y (*.f64 y (log.f64 y)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 y (-.f64 y (neg.f64 (*.f64 y (log.f64 y)))) (pow.f64 (*.f64 y (log.f64 y)) #s(literal 2 binary64))) (fma.f64 y (*.f64 y y) (neg.f64 (pow.f64 (*.f64 y (log.f64 y)) #s(literal 3 binary64))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (log.f64 y) (neg.f64 y) (neg.f64 y)) (-.f64 (pow.f64 (*.f64 y (log.f64 y)) #s(literal 2 binary64)) (*.f64 y y))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (-.f64 y (*.f64 y (log.f64 y))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 y (*.f64 y (log.f64 y)))) (/.f64 #s(literal 1 binary64) (-.f64 y (*.f64 y (log.f64 y))))) #s(literal -1/2 binary64)) |
(*.f64 #s(literal 1 binary64) (-.f64 y (*.f64 y (log.f64 y)))) |
(*.f64 (-.f64 y (*.f64 y (log.f64 y))) #s(literal 1 binary64)) |
(*.f64 (-.f64 y (*.f64 y (log.f64 y))) (/.f64 (fma.f64 (log.f64 y) (neg.f64 y) (neg.f64 y)) (fma.f64 (log.f64 y) (neg.f64 y) (neg.f64 y)))) |
(*.f64 #s(literal -1 binary64) (neg.f64 (-.f64 y (*.f64 y (log.f64 y))))) |
(*.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 (-.f64 y (*.f64 y (log.f64 y)))) #s(literal 1 binary64))) |
(*.f64 (fma.f64 y (*.f64 y y) (neg.f64 (pow.f64 (*.f64 y (log.f64 y)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y (neg.f64 (*.f64 y (log.f64 y)))) (pow.f64 (*.f64 y (log.f64 y)) #s(literal 2 binary64))))) |
(*.f64 (-.f64 (pow.f64 (*.f64 y (log.f64 y)) #s(literal 2 binary64)) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 y) (neg.f64 y) (neg.f64 y)))) |
(*.f64 (pow.f64 (-.f64 y (*.f64 y (log.f64 y))) #s(literal 1/2 binary64)) (pow.f64 (-.f64 y (*.f64 y (log.f64 y))) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (fma.f64 y (*.f64 y y) (neg.f64 (pow.f64 (*.f64 y (log.f64 y)) #s(literal 3 binary64)))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y (neg.f64 (*.f64 y (log.f64 y)))) (pow.f64 (*.f64 y (log.f64 y)) #s(literal 2 binary64)))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 y (log.f64 y)) #s(literal 2 binary64)) (*.f64 y y)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 y) (neg.f64 y) (neg.f64 y))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (-.f64 y (*.f64 y (log.f64 y))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (-.f64 y (*.f64 y (log.f64 y))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (-.f64 y (*.f64 y (log.f64 y))) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 y (*.f64 y (log.f64 y))) #s(literal -1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y y) (neg.f64 (pow.f64 (*.f64 y (log.f64 y)) #s(literal 3 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y (neg.f64 (*.f64 y (log.f64 y)))) (pow.f64 (*.f64 y (log.f64 y)) #s(literal 2 binary64))))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 y (log.f64 y)) #s(literal 2 binary64)) (*.f64 y y))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 y) (neg.f64 y) (neg.f64 y)))) |
(*.f64 (/.f64 (fma.f64 y (-.f64 y (neg.f64 (*.f64 y (log.f64 y)))) (pow.f64 (*.f64 y (log.f64 y)) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (-.f64 y (*.f64 y (log.f64 y))) (fma.f64 y (-.f64 y (neg.f64 (*.f64 y (log.f64 y)))) (pow.f64 (*.f64 y (log.f64 y)) #s(literal 2 binary64))))) |
(exp.f64 (*.f64 (log.f64 (+.f64 y #s(literal 1/2 binary64))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (+.f64 y #s(literal 1/2 binary64)))) |
(/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal -1/2 binary64) (neg.f64 y)))) |
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1/2 binary64) (neg.f64 y))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (+.f64 #s(literal -1/2 binary64) (neg.f64 y))))) |
(pow.f64 (+.f64 y #s(literal 1/2 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64))) #s(literal 1 binary64)) |
(pow.f64 (neg.f64 (+.f64 #s(literal -1/2 binary64) (neg.f64 y))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (+.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (+.f64 y #s(literal 1/2 binary64))) #s(literal -1/2 binary64)) |
(pow.f64 (exp.f64 (log.f64 (+.f64 y #s(literal 1/2 binary64)))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64))) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 y #s(literal 1/2 binary64)))) |
(*.f64 (pow.f64 (+.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (+.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y y) #s(literal 1/8 binary64))) (-.f64 (fma.f64 y y #s(literal 1/4 binary64)) (*.f64 y #s(literal 1/2 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y y) #s(literal 1/8 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y y #s(literal 1/4 binary64)) (*.f64 y #s(literal 1/2 binary64)))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -1/4 binary64))) (+.f64 y #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -1/4 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1/2 binary64))) #s(literal -1 binary64))) |
| 1× | egg-herbie |
| 12 638× | accelerator-lowering-fma.f32 |
| 12 638× | accelerator-lowering-fma.f64 |
| 4 818× | *-lowering-*.f32 |
| 4 818× | *-lowering-*.f64 |
| 3 740× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 350 | 2874 |
| 1 | 1059 | 2675 |
| 2 | 2967 | 2545 |
| 0 | 8359 | 2404 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/2 (log y)) |
(+ (* 1/2 (log y)) (* y (log y))) |
(+ (* 1/2 (log y)) (* y (log y))) |
(+ (* 1/2 (log y)) (* y (log y))) |
(* -1 (* y (log (/ 1 y)))) |
(* y (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y)))) |
(* y (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y)))) |
(* y (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y)))) |
(* y (+ (log -1) (* -1 (log (/ -1 y))))) |
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y))))) |
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y))))) |
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y))))) |
(* -1 (* (log y) (+ 1/2 y))) |
(- x (* (log y) (+ 1/2 y))) |
(- x (* (log y) (+ 1/2 y))) |
(- x (* (log y) (+ 1/2 y))) |
x |
(* x (+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x)))) |
(* x (+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x)))) |
(* x (+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x)))) |
x |
(* -1 (* x (- (/ (* (log y) (+ 1/2 y)) x) 1))) |
(* -1 (* x (- (/ (* (log y) (+ 1/2 y)) x) 1))) |
(* -1 (* x (- (/ (* (log y) (+ 1/2 y)) x) 1))) |
(- x (* 1/2 (log y))) |
(- (+ x (* -1 (* y (log y)))) (* 1/2 (log y))) |
(- (+ x (* -1 (* y (log y)))) (* 1/2 (log y))) |
(- (+ x (* -1 (* y (log y)))) (* 1/2 (log y))) |
(* y (log (/ 1 y))) |
(* y (- (/ x y) (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))))) |
(* y (- (/ x y) (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))))) |
(* y (- (/ x y) (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))))) |
(* -1 (* y (+ (log -1) (* -1 (log (/ -1 y)))))) |
(* -1 (* y (- (* -1 (/ (- x (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))) |
(* -1 (* y (- (* -1 (/ (- x (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))) |
(* -1 (* y (- (* -1 (/ (- x (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))) |
(- y (+ z (* (log y) (+ 1/2 y)))) |
(- (+ x y) (+ z (* (log y) (+ 1/2 y)))) |
(- (+ x y) (+ z (* (log y) (+ 1/2 y)))) |
(- (+ x y) (+ z (* (log y) (+ 1/2 y)))) |
x |
(* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x)))) |
(* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x)))) |
(* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x)))) |
x |
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1))) |
(- x (+ z (* 1/2 (log y)))) |
(- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y)))) |
(- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y)))) |
(- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y)))) |
(* y (- 1 (* -1 (log (/ 1 y))))) |
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y))))) |
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y))))) |
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y))))) |
(* y (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))) |
(* -1 (* y (- (* -1 (/ (- x (+ z (* 1/2 (+ (log -1) (* -1 (log (/ -1 y))))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))))) |
(* -1 (* y (- (* -1 (/ (- x (+ z (* 1/2 (+ (log -1) (* -1 (log (/ -1 y))))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))))) |
(* -1 (* y (- (* -1 (/ (- x (+ z (* 1/2 (+ (log -1) (* -1 (log (/ -1 y))))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))))) |
(- (+ x y) (* (log y) (+ 1/2 y))) |
(- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y))) |
(- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y))) |
(- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y))) |
(* -1 z) |
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z)))) |
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z)))) |
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z)))) |
(* -1 z) |
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z))))) |
(- y (* (log y) (+ 1/2 y))) |
(- (+ x y) (* (log y) (+ 1/2 y))) |
(- (+ x y) (* (log y) (+ 1/2 y))) |
(- (+ x y) (* (log y) (+ 1/2 y))) |
x |
(* x (- (+ 1 (/ y x)) (/ (* (log y) (+ 1/2 y)) x))) |
(* x (- (+ 1 (/ y x)) (/ (* (log y) (+ 1/2 y)) x))) |
(* x (- (+ 1 (/ y x)) (/ (* (log y) (+ 1/2 y)) x))) |
x |
(* -1 (* x (- (* -1 (/ (- y (* (log y) (+ 1/2 y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- y (* (log y) (+ 1/2 y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- y (* (log y) (+ 1/2 y))) x)) 1))) |
(- x (* 1/2 (log y))) |
(- (+ x (* y (- 1 (log y)))) (* 1/2 (log y))) |
(- (+ x (* y (- 1 (log y)))) (* 1/2 (log y))) |
(- (+ x (* y (- 1 (log y)))) (* 1/2 (log y))) |
(* y (- 1 (* -1 (log (/ 1 y))))) |
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))))) |
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))))) |
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))))) |
(* y (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))) |
(* -1 (* y (- (* -1 (/ (- x (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))))) |
(* -1 (* y (- (* -1 (/ (- x (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))))) |
(* -1 (* y (- (* -1 (/ (- x (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))))) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
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))) |
(/ 1 x) |
(+ (* -1 (/ y (pow x 2))) (/ 1 x)) |
(+ (* y (- (/ y (pow x 3)) (/ 1 (pow x 2)))) (/ 1 x)) |
(+ (* y (- (* y (+ (* -1 (/ y (pow x 4))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x)) |
(/ 1 y) |
(/ (+ 1 (* -1 (/ x y))) y) |
(/ (- (+ 1 (/ (pow x 2) (pow y 2))) (/ x y)) y) |
(/ (- (+ 1 (* -1 (/ (pow x 3) (pow y 3)))) (+ (* -1 (/ (pow x 2) (pow y 2))) (/ x y))) y) |
(/ 1 y) |
(* -1 (/ (- (/ x y) 1) y)) |
(* -1 (/ (- (* -1 (/ (- (/ (pow x 2) y) x) y)) 1) y)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y)) x) y)) 1) y)) |
(/ 1 y) |
(+ (* -1 (/ x (pow y 2))) (/ 1 y)) |
(+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)) |
(+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)) |
(/ 1 x) |
(/ (+ 1 (* -1 (/ y x))) x) |
(/ (- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x)) x) |
(/ (- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))) x) |
(/ 1 x) |
(* -1 (/ (- (/ y x) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (/ (pow y 2) x) y) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow y 3) x) (pow y 2)) x)) y) x)) 1) x)) |
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))) |
(- (+ x (* -1/2 (log y))) z) |
(- (+ x (* -1/2 (log y))) z) |
(- (+ x (* -1/2 (log y))) z) |
(- (+ x (* -1/2 (log y))) z) |
(- (+ x (* 1/2 (log (/ 1 y)))) z) |
(- (+ x (* 1/2 (log (/ 1 y)))) z) |
(- (+ x (* 1/2 (log (/ 1 y)))) z) |
(- (+ x (* 1/2 (log (/ 1 y)))) z) |
(- (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) z) |
(- (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) z) |
(- (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) z) |
(- (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) z) |
(- (* -1/2 (log y)) z) |
(- (+ x (* -1/2 (log y))) z) |
(- (+ x (* -1/2 (log y))) z) |
(- (+ x (* -1/2 (log y))) z) |
x |
(* x (- (+ 1 (* -1/2 (/ (log y) x))) (/ z x))) |
(* x (- (+ 1 (* -1/2 (/ (log y) x))) (/ z x))) |
(* x (- (+ 1 (* -1/2 (/ (log y) x))) (/ z x))) |
x |
(* -1 (* x (- (* -1 (/ (- (* -1/2 (log y)) z) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (* -1/2 (log y)) z) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (* -1/2 (log y)) z) x)) 1))) |
(+ x (* -1/2 (log y))) |
(+ x (+ (* -1 z) (* -1/2 (log y)))) |
(+ x (+ (* -1 z) (* -1/2 (log y)))) |
(+ x (+ (* -1 z) (* -1/2 (log y)))) |
(* -1 z) |
(* z (- (+ (* -1/2 (/ (log y) z)) (/ x z)) 1)) |
(* z (- (+ (* -1/2 (/ (log y) z)) (/ x z)) 1)) |
(* z (- (+ (* -1/2 (/ (log y) z)) (/ x z)) 1)) |
(* -1 z) |
(* -1 (* z (+ 1 (* -1 (/ (+ x (* -1/2 (log y))) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (+ x (* -1/2 (log y))) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (+ x (* -1/2 (log y))) z))))) |
(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 z) |
(- x z) |
(- x z) |
(- x 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))))) |
(* y (+ 1 (* -1 (log y)))) |
(* y (+ 1 (* -1 (log y)))) |
(* y (+ 1 (* -1 (log y)))) |
(* y (+ 1 (* -1 (log y)))) |
(* y (+ 1 (log (/ 1 y)))) |
(* y (+ 1 (log (/ 1 y)))) |
(* y (+ 1 (log (/ 1 y)))) |
(* y (+ 1 (log (/ 1 y)))) |
(* -1 (* y (- (+ (log -1) (* -1 (log (/ -1 y)))) 1))) |
(* -1 (* y (- (+ (log -1) (* -1 (log (/ -1 y)))) 1))) |
(* -1 (* y (- (+ (log -1) (* -1 (log (/ -1 y)))) 1))) |
(* -1 (* y (- (+ (log -1) (* -1 (log (/ -1 y)))) 1))) |
(/ 1 (* y (+ 1 (* -1 (log y))))) |
(/ 1 (* y (+ 1 (* -1 (log y))))) |
(/ 1 (* y (+ 1 (* -1 (log y))))) |
(/ 1 (* y (+ 1 (* -1 (log y))))) |
(/ 1 (* y (+ 1 (log (/ 1 y))))) |
(/ 1 (* y (+ 1 (log (/ 1 y))))) |
(/ 1 (* y (+ 1 (log (/ 1 y))))) |
(/ 1 (* y (+ 1 (log (/ 1 y))))) |
(/ -1 (* y (- (+ (log -1) (* -1 (log (/ -1 y)))) 1))) |
(/ -1 (* y (- (+ (log -1) (* -1 (log (/ -1 y)))) 1))) |
(/ -1 (* y (- (+ (log -1) (* -1 (log (/ -1 y)))) 1))) |
(/ -1 (* y (- (+ (log -1) (* -1 (log (/ -1 y)))) 1))) |
(* y (+ 1 (* -1 (log y)))) |
(* y (+ 1 (* -1 (log y)))) |
(* y (+ 1 (* -1 (log y)))) |
(* y (+ 1 (* -1 (log y)))) |
(* y (+ 1 (log (/ 1 y)))) |
(* y (+ 1 (log (/ 1 y)))) |
(* y (+ 1 (log (/ 1 y)))) |
(* y (+ 1 (log (/ 1 y)))) |
(* -1 (* y (- (+ (log -1) (* -1 (log (/ -1 y)))) 1))) |
(* -1 (* y (- (+ (log -1) (* -1 (log (/ -1 y)))) 1))) |
(* -1 (* y (- (+ (log -1) (* -1 (log (/ -1 y)))) 1))) |
(* -1 (* y (- (+ (log -1) (* -1 (log (/ -1 y)))) 1))) |
2 |
(+ 2 (* -4 y)) |
(+ 2 (* y (- (* 8 y) 4))) |
(+ 2 (* y (- (* y (+ 8 (* -16 y))) 4))) |
(/ 1 y) |
(/ (- 1 (* 1/2 (/ 1 y))) y) |
(/ (- (+ 1 (/ 1/4 (pow y 2))) (* 1/2 (/ 1 y))) y) |
(/ (- (+ 1 (/ 1/4 (pow y 2))) (+ (* 1/2 (/ 1 y)) (* 1/8 (/ 1 (pow y 3))))) y) |
(/ 1 y) |
(* -1 (/ (- (* 1/2 (/ 1 y)) 1) y)) |
(* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 y)) 1/2) y)) 1) y)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 y)) 1/4) y)) 1/2) y)) 1) y)) |
| 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 (fma.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 y) y) (log.f64 y))) |
(* y (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y)))) |
(*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 y) y) (log.f64 y))) |
(* y (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y)))) |
(*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 y) y) (log.f64 y))) |
(* y (+ (log -1) (* -1 (log (/ -1 y))))) |
(*.f64 y (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y)))) |
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y))))) |
(*.f64 y (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)))) |
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y))))) |
(*.f64 y (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)))) |
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y))))) |
(*.f64 y (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)))) |
(* -1 (* (log y) (+ 1/2 y))) |
(*.f64 (log.f64 y) (+.f64 #s(literal -1/2 binary64) (neg.f64 y))) |
(- x (* (log y) (+ 1/2 y))) |
(fma.f64 (log.f64 y) (+.f64 #s(literal -1/2 binary64) (neg.f64 y)) x) |
(- x (* (log y) (+ 1/2 y))) |
(fma.f64 (log.f64 y) (+.f64 #s(literal -1/2 binary64) (neg.f64 y)) x) |
(- x (* (log y) (+ 1/2 y))) |
(fma.f64 (log.f64 y) (+.f64 #s(literal -1/2 binary64) (neg.f64 y)) x) |
x |
(* x (+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x)))) |
(fma.f64 (*.f64 x (log.f64 y)) (/.f64 (+.f64 #s(literal -1/2 binary64) (neg.f64 y)) x) x) |
(* x (+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x)))) |
(fma.f64 (*.f64 x (log.f64 y)) (/.f64 (+.f64 #s(literal -1/2 binary64) (neg.f64 y)) x) x) |
(* x (+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x)))) |
(fma.f64 (*.f64 x (log.f64 y)) (/.f64 (+.f64 #s(literal -1/2 binary64) (neg.f64 y)) x) x) |
x |
(* -1 (* x (- (/ (* (log y) (+ 1/2 y)) x) 1))) |
(fma.f64 (*.f64 x (log.f64 y)) (/.f64 (+.f64 #s(literal -1/2 binary64) (neg.f64 y)) x) x) |
(* -1 (* x (- (/ (* (log y) (+ 1/2 y)) x) 1))) |
(fma.f64 (*.f64 x (log.f64 y)) (/.f64 (+.f64 #s(literal -1/2 binary64) (neg.f64 y)) x) x) |
(* -1 (* x (- (/ (* (log y) (+ 1/2 y)) x) 1))) |
(fma.f64 (*.f64 x (log.f64 y)) (/.f64 (+.f64 #s(literal -1/2 binary64) (neg.f64 y)) x) x) |
(- x (* 1/2 (log y))) |
(fma.f64 (log.f64 y) #s(literal -1/2 binary64) x) |
(- (+ x (* -1 (* y (log y)))) (* 1/2 (log y))) |
(fma.f64 (log.f64 y) (+.f64 #s(literal -1/2 binary64) (neg.f64 y)) x) |
(- (+ x (* -1 (* y (log y)))) (* 1/2 (log y))) |
(fma.f64 (log.f64 y) (+.f64 #s(literal -1/2 binary64) (neg.f64 y)) x) |
(- (+ x (* -1 (* y (log y)))) (* 1/2 (log y))) |
(fma.f64 (log.f64 y) (+.f64 #s(literal -1/2 binary64) (neg.f64 y)) x) |
(* y (log (/ 1 y))) |
(*.f64 (log.f64 y) (neg.f64 y)) |
(* y (- (/ x y) (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))))) |
(*.f64 y (-.f64 (/.f64 x y) (fma.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 y) y) (log.f64 y)))) |
(* y (- (/ x y) (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))))) |
(*.f64 y (-.f64 (/.f64 x y) (fma.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 y) y) (log.f64 y)))) |
(* y (- (/ x y) (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))))) |
(*.f64 y (-.f64 (/.f64 x y) (fma.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 y) 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 (- (* -1 (/ (- x (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))) |
(*.f64 y (+.f64 (/.f64 x y) (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) y))))) |
(* -1 (* y (- (* -1 (/ (- x (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))) |
(*.f64 y (+.f64 (/.f64 x y) (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) y))))) |
(* -1 (* y (- (* -1 (/ (- x (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))) |
(*.f64 y (+.f64 (/.f64 x y) (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) y))))) |
(- y (+ z (* (log y) (+ 1/2 y)))) |
(-.f64 y (fma.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y) z)) |
(- (+ x y) (+ z (* (log y) (+ 1/2 y)))) |
(-.f64 (+.f64 y x) (fma.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y) z)) |
(- (+ x y) (+ z (* (log y) (+ 1/2 y)))) |
(-.f64 (+.f64 y x) (fma.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y) z)) |
(- (+ x y) (+ z (* (log y) (+ 1/2 y)))) |
(-.f64 (+.f64 y x) (fma.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y) z)) |
x |
(* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x)))) |
(fma.f64 x (/.f64 (-.f64 y (fma.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y) z)) x) x) |
(* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x)))) |
(fma.f64 x (/.f64 (-.f64 y (fma.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y) z)) x) x) |
(* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x)))) |
(fma.f64 x (/.f64 (-.f64 y (fma.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y) z)) x) x) |
x |
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1))) |
(fma.f64 x (/.f64 (-.f64 y (fma.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y) z)) x) x) |
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1))) |
(fma.f64 x (/.f64 (-.f64 y (fma.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y) z)) x) x) |
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1))) |
(fma.f64 x (/.f64 (-.f64 y (fma.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y) z)) x) x) |
(- x (+ z (* 1/2 (log y)))) |
(-.f64 (fma.f64 (log.f64 y) #s(literal -1/2 binary64) x) z) |
(- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y)))) |
(-.f64 (+.f64 y x) (fma.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y) z)) |
(- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y)))) |
(-.f64 (+.f64 y x) (fma.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y) z)) |
(- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y)))) |
(-.f64 (+.f64 y x) (fma.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y) z)) |
(* y (- 1 (* -1 (log (/ 1 y))))) |
(fma.f64 (log.f64 y) (neg.f64 y) y) |
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y))))) |
(fma.f64 y (-.f64 (/.f64 (-.f64 x z) y) (fma.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 y) y) (log.f64 y))) y) |
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y))))) |
(fma.f64 y (-.f64 (/.f64 (-.f64 x z) y) (fma.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 y) y) (log.f64 y))) y) |
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y))))) |
(fma.f64 y (-.f64 (/.f64 (-.f64 x z) y) (fma.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 y) y) (log.f64 y))) y) |
(* y (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))) |
(fma.f64 y (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64))) y) |
(* -1 (* y (- (* -1 (/ (- x (+ z (* 1/2 (+ (log -1) (* -1 (log (/ -1 y))))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))))) |
(*.f64 y (+.f64 (/.f64 (fma.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 (fma.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 (fma.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 y (fma.f64 (log.f64 y) (+.f64 #s(literal -1/2 binary64) (neg.f64 y)) x)) |
(- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y))) |
(-.f64 (+.f64 y x) (fma.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y) z)) |
(- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y))) |
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(* x (+ 1 (* -1 (/ z x)))) |
(fma.f64 x (/.f64 z (neg.f64 x)) x) |
(* x (+ 1 (* -1 (/ z x)))) |
(fma.f64 x (/.f64 z (neg.f64 x)) x) |
(* x (+ 1 (* -1 (/ z x)))) |
(fma.f64 x (/.f64 z (neg.f64 x)) x) |
x |
(* -1 (* x (- (/ z x) 1))) |
(fma.f64 x (/.f64 z (neg.f64 x)) x) |
(* -1 (* x (- (/ z x) 1))) |
(fma.f64 x (/.f64 z (neg.f64 x)) x) |
(* -1 (* x (- (/ z x) 1))) |
(fma.f64 x (/.f64 z (neg.f64 x)) x) |
x |
(+ x (* -1 z)) |
(-.f64 x z) |
(+ x (* -1 z)) |
(-.f64 x z) |
(+ x (* -1 z)) |
(-.f64 x z) |
(* -1 z) |
(neg.f64 z) |
(* z (- (/ x z) 1)) |
(-.f64 (/.f64 (*.f64 z x) z) z) |
(* z (- (/ x z) 1)) |
(-.f64 (/.f64 (*.f64 z x) z) z) |
(* z (- (/ x z) 1)) |
(-.f64 (/.f64 (*.f64 z x) z) z) |
(* -1 z) |
(neg.f64 z) |
(* -1 (* z (+ 1 (* -1 (/ x z))))) |
(-.f64 (/.f64 (*.f64 z x) z) z) |
(* -1 (* z (+ 1 (* -1 (/ x z))))) |
(-.f64 (/.f64 (*.f64 z x) z) z) |
(* -1 (* z (+ 1 (* -1 (/ x z))))) |
(-.f64 (/.f64 (*.f64 z x) z) z) |
(* y (+ 1 (* -1 (log y)))) |
(fma.f64 (log.f64 y) (neg.f64 y) y) |
(* y (+ 1 (* -1 (log y)))) |
(fma.f64 (log.f64 y) (neg.f64 y) y) |
(* y (+ 1 (* -1 (log y)))) |
(fma.f64 (log.f64 y) (neg.f64 y) y) |
(* y (+ 1 (* -1 (log y)))) |
(fma.f64 (log.f64 y) (neg.f64 y) y) |
(* y (+ 1 (log (/ 1 y)))) |
(fma.f64 (log.f64 y) (neg.f64 y) y) |
(* y (+ 1 (log (/ 1 y)))) |
(fma.f64 (log.f64 y) (neg.f64 y) y) |
(* y (+ 1 (log (/ 1 y)))) |
(fma.f64 (log.f64 y) (neg.f64 y) y) |
(* y (+ 1 (log (/ 1 y)))) |
(fma.f64 (log.f64 y) (neg.f64 y) y) |
(* -1 (* y (- (+ (log -1) (* -1 (log (/ -1 y)))) 1))) |
(fma.f64 y (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64))) y) |
(* -1 (* y (- (+ (log -1) (* -1 (log (/ -1 y)))) 1))) |
(fma.f64 y (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64))) y) |
(* -1 (* y (- (+ (log -1) (* -1 (log (/ -1 y)))) 1))) |
(fma.f64 y (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64))) y) |
(* -1 (* y (- (+ (log -1) (* -1 (log (/ -1 y)))) 1))) |
(fma.f64 y (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64))) y) |
(/ 1 (* y (+ 1 (* -1 (log y))))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 y) (neg.f64 y) y)) |
(/ 1 (* y (+ 1 (* -1 (log y))))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 y) (neg.f64 y) y)) |
(/ 1 (* y (+ 1 (* -1 (log y))))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 y) (neg.f64 y) y)) |
(/ 1 (* y (+ 1 (* -1 (log y))))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 y) (neg.f64 y) y)) |
(/ 1 (* y (+ 1 (log (/ 1 y))))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 y) (neg.f64 y) y)) |
(/ 1 (* y (+ 1 (log (/ 1 y))))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 y) (neg.f64 y) y)) |
(/ 1 (* y (+ 1 (log (/ 1 y))))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 y) (neg.f64 y) y)) |
(/ 1 (* y (+ 1 (log (/ 1 y))))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 y) (neg.f64 y) y)) |
(/ -1 (* y (- (+ (log -1) (* -1 (log (/ -1 y)))) 1))) |
(/.f64 #s(literal -1 binary64) (*.f64 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))) |
(/.f64 #s(literal -1 binary64) (*.f64 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))) |
(/.f64 #s(literal -1 binary64) (*.f64 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))) |
(/.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (+.f64 #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) y))))) |
(* y (+ 1 (* -1 (log y)))) |
(fma.f64 (log.f64 y) (neg.f64 y) y) |
(* y (+ 1 (* -1 (log y)))) |
(fma.f64 (log.f64 y) (neg.f64 y) y) |
(* y (+ 1 (* -1 (log y)))) |
(fma.f64 (log.f64 y) (neg.f64 y) y) |
(* y (+ 1 (* -1 (log y)))) |
(fma.f64 (log.f64 y) (neg.f64 y) y) |
(* y (+ 1 (log (/ 1 y)))) |
(fma.f64 (log.f64 y) (neg.f64 y) y) |
(* y (+ 1 (log (/ 1 y)))) |
(fma.f64 (log.f64 y) (neg.f64 y) y) |
(* y (+ 1 (log (/ 1 y)))) |
(fma.f64 (log.f64 y) (neg.f64 y) y) |
(* y (+ 1 (log (/ 1 y)))) |
(fma.f64 (log.f64 y) (neg.f64 y) y) |
(* -1 (* y (- (+ (log -1) (* -1 (log (/ -1 y)))) 1))) |
(fma.f64 y (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64))) y) |
(* -1 (* y (- (+ (log -1) (* -1 (log (/ -1 y)))) 1))) |
(fma.f64 y (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64))) y) |
(* -1 (* y (- (+ (log -1) (* -1 (log (/ -1 y)))) 1))) |
(fma.f64 y (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64))) y) |
(* -1 (* y (- (+ (log -1) (* -1 (log (/ -1 y)))) 1))) |
(fma.f64 y (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64))) y) |
2 |
#s(literal 2 binary64) |
(+ 2 (* -4 y)) |
(fma.f64 y #s(literal -4 binary64) #s(literal 2 binary64)) |
(+ 2 (* y (- (* 8 y) 4))) |
(fma.f64 y (fma.f64 y #s(literal 8 binary64) #s(literal -4 binary64)) #s(literal 2 binary64)) |
(+ 2 (* y (- (* y (+ 8 (* -16 y))) 4))) |
(fma.f64 y (fma.f64 y (fma.f64 y #s(literal -16 binary64) #s(literal 8 binary64)) #s(literal -4 binary64)) #s(literal 2 binary64)) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ (- 1 (* 1/2 (/ 1 y))) y) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) y)) y) |
(/ (- (+ 1 (/ 1/4 (pow y 2))) (* 1/2 (/ 1 y))) y) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/4 binary64) y)) y)) y) |
(/ (- (+ 1 (/ 1/4 (pow y 2))) (+ (* 1/2 (/ 1 y)) (* 1/8 (/ 1 (pow y 3))))) y) |
(/.f64 (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/4 binary64) y)) y) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 y (*.f64 y y))))) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(* -1 (/ (- (* 1/2 (/ 1 y)) 1) y)) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) y)) y) |
(* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 y)) 1/2) y)) 1) y)) |
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/4 binary64) y)) y)) (neg.f64 y)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 y)) 1/4) y)) 1/2) y)) 1) y)) |
(neg.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) y) #s(literal -1/4 binary64)) y)) y)) y)) |
Compiled 34 033 to 3 579 computations (89.5% saved)
30 alts after pruning (25 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 306 | 13 | 1 319 |
| Fresh | 4 | 12 | 16 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 3 | 3 |
| Total | 1 313 | 30 | 1 343 |
| Status | Accuracy | Program |
|---|---|---|
| 39.4% | (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) | |
| ✓ | 30.8% | (fma.f64 (log.f64 y) (neg.f64 y) y) |
| 38.9% | (fma.f64 (log.f64 y) #s(literal -1/2 binary64) x) | |
| 79.4% | (fma.f64 x (/.f64 (-.f64 y (fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) z)) x) x) | |
| 5.8% | (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z))) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z)))) | |
| 12.6% | (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z)) | |
| ▶ | 11.9% | (/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (-.f64 y x)) |
| ▶ | 6.7% | (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) |
| 29.7% | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)) | |
| ✓ | 30.8% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 y) (neg.f64 y) y))) |
| 33.0% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 y (neg.f64 z)))) | |
| 2.4% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) | |
| 29.7% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) | |
| ✓ | 70.5% | (-.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) z) |
| 62.0% | (-.f64 (fma.f64 (log.f64 y) (neg.f64 y) y) z) | |
| 41.3% | (-.f64 (fma.f64 (log.f64 y) #s(literal -1/2 binary64) y) z) | |
| ▶ | 99.8% | (-.f64 (/.f64 (fma.f64 (neg.f64 (+.f64 y x)) (/.f64 #s(literal -1 binary64) (+.f64 y #s(literal 1/2 binary64))) (neg.f64 (log.f64 y))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64)))) z) |
| 87.7% | (-.f64 (+.f64 (fma.f64 (*.f64 x (log.f64 y)) (/.f64 (+.f64 #s(literal -1/2 binary64) (neg.f64 y)) x) x) y) z) | |
| 99.7% | (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x))) y) z) | |
| 90.9% | (-.f64 (+.f64 (-.f64 x (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) y))) y) z) | |
| 60.7% | (-.f64 (+.f64 x y) z) | |
| 30.8% | (-.f64 y (*.f64 y (log.f64 y))) | |
| 61.3% | (-.f64 x z) | |
| ▶ | 68.0% | (+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) x) |
| 6.7% | (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y)))) | |
| 11.9% | (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (-.f64 y x))) | |
| 78.2% | (*.f64 z (fma.f64 (log.f64 y) (/.f64 (-.f64 #s(literal -1/2 binary64) y) z) (fma.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 y x) #s(literal -1 binary64)))) | |
| ✓ | 33.3% | (neg.f64 z) |
| ▶ | 2.4% | y |
| ✓ | 29.7% | x |
Compiled 723 to 458 computations (36.7% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (-.f64 #s(literal -1/2 binary64) y) |
| ✓ | cost-diff | 0 | (log.f64 y) |
| ✓ | cost-diff | 0 | (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) |
| ✓ | cost-diff | 0 | (+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) x) |
| ✓ | cost-diff | 0 | (-.f64 x y) |
| ✓ | cost-diff | 0 | (fma.f64 x (-.f64 x y) (*.f64 y y)) |
| ✓ | cost-diff | 0 | (/.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) |
| ✓ | cost-diff | 704 | (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) |
| ✓ | cost-diff | 0 | (-.f64 y x) |
| ✓ | cost-diff | 0 | (+.f64 y x) |
| ✓ | cost-diff | 0 | (*.f64 (+.f64 y x) (-.f64 y x)) |
| ✓ | cost-diff | 1408 | (/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (-.f64 y x)) |
| ✓ | cost-diff | 0 | (neg.f64 (+.f64 y x)) |
| ✓ | cost-diff | 0 | (-.f64 (/.f64 (fma.f64 (neg.f64 (+.f64 y x)) (/.f64 #s(literal -1 binary64) (+.f64 y #s(literal 1/2 binary64))) (neg.f64 (log.f64 y))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64)))) z) |
| ✓ | cost-diff | 448 | (fma.f64 (neg.f64 (+.f64 y x)) (/.f64 #s(literal -1 binary64) (+.f64 y #s(literal 1/2 binary64))) (neg.f64 (log.f64 y))) |
| ✓ | cost-diff | 2112 | (/.f64 (fma.f64 (neg.f64 (+.f64 y x)) (/.f64 #s(literal -1 binary64) (+.f64 y #s(literal 1/2 binary64))) (neg.f64 (log.f64 y))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64)))) |
| 7 278× | accelerator-lowering-fma.f32 |
| 7 278× | accelerator-lowering-fma.f64 |
| 2 716× | --lowering--.f32 |
| 2 716× | --lowering--.f64 |
| 2 102× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 205 |
| 1 | 77 | 195 |
| 2 | 194 | 185 |
| 3 | 681 | 173 |
| 4 | 2419 | 173 |
| 5 | 6966 | 173 |
| 0 | 8307 | 166 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (/ (+ (* (neg (+ y x)) (/ -1 (+ y 1/2))) (neg (log y))) (/ 1 (+ y 1/2))) z) |
(/ (+ (* (neg (+ y x)) (/ -1 (+ y 1/2))) (neg (log y))) (/ 1 (+ y 1/2))) |
(+ (* (neg (+ y x)) (/ -1 (+ y 1/2))) (neg (log y))) |
(neg (+ y x)) |
(+ y x) |
y |
x |
(/ -1 (+ y 1/2)) |
-1 |
(+ y 1/2) |
1/2 |
(neg (log y)) |
(log y) |
(/ 1 (+ y 1/2)) |
1 |
z |
y |
(/ (* (+ y x) (- y x)) (- y x)) |
(* (+ y x) (- y x)) |
(+ y x) |
y |
x |
(- y x) |
(/ 1 (/ (+ (* x (- x y)) (* y y)) (+ (* x (* x x)) (* y (* y y))))) |
1 |
(/ (+ (* x (- x y)) (* y y)) (+ (* x (* x x)) (* y (* y y)))) |
(+ (* x (- x y)) (* y y)) |
x |
(- x y) |
y |
(* y y) |
(+ (* x (* x x)) (* y (* y y))) |
(* x x) |
(* y (* y y)) |
(+ (+ (* (log y) (- -1/2 y)) y) x) |
(+ (* (log y) (- -1/2 y)) y) |
(log y) |
y |
(- -1/2 y) |
-1/2 |
x |
| Outputs |
|---|
(- (/ (+ (* (neg (+ y x)) (/ -1 (+ y 1/2))) (neg (log y))) (/ 1 (+ y 1/2))) z) |
(+.f64 y (-.f64 x (fma.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y) z))) |
(/ (+ (* (neg (+ y x)) (/ -1 (+ y 1/2))) (neg (log y))) (/ 1 (+ y 1/2))) |
(+.f64 y (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)) |
(+ (* (neg (+ y x)) (/ -1 (+ y 1/2))) (neg (log y))) |
(-.f64 (/.f64 (+.f64 y x) (+.f64 y #s(literal 1/2 binary64))) (log.f64 y)) |
(neg (+ y x)) |
(-.f64 (neg.f64 y) x) |
(+ y x) |
(+.f64 y x) |
y |
x |
(/ -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) |
(neg (log y)) |
(neg.f64 (log.f64 y)) |
(log y) |
(log.f64 y) |
(/ 1 (+ y 1/2)) |
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/2 binary64) y)) |
1 |
#s(literal 1 binary64) |
z |
y |
(/ (* (+ y x) (- y x)) (- y x)) |
(+.f64 y x) |
(* (+ y x) (- y x)) |
(*.f64 (+.f64 y x) (-.f64 y x)) |
(+ y x) |
(+.f64 y x) |
y |
x |
(- y x) |
(-.f64 y x) |
(/ 1 (/ (+ (* x (- x y)) (* y y)) (+ (* x (* x x)) (* y (* y y))))) |
(/.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))) (fma.f64 y y (*.f64 x (-.f64 x y)))) |
1 |
#s(literal 1 binary64) |
(/ (+ (* x (- x y)) (* y y)) (+ (* x (* x x)) (* y (* y y)))) |
(/.f64 (fma.f64 y y (*.f64 x (-.f64 x y))) (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x)))) |
(+ (* x (- x y)) (* y y)) |
(fma.f64 y y (*.f64 x (-.f64 x y))) |
x |
(- x y) |
(-.f64 x y) |
y |
(* y y) |
(*.f64 y y) |
(+ (* x (* x x)) (* y (* y y))) |
(fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))) |
(* x x) |
(*.f64 x x) |
(* y (* y y)) |
(*.f64 y (*.f64 y y)) |
(+ (+ (* (log y) (- -1/2 y)) y) x) |
(+.f64 y (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)) |
(+ (* (log y) (- -1/2 y)) y) |
(fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) 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 |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (-.f64 #s(literal -1/2 binary64) y) |
| ✓ | accuracy | 100.0% | (log.f64 y) |
| ✓ | accuracy | 100.0% | (+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) x) |
| ✓ | accuracy | 99.7% | (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) |
| ✓ | accuracy | 99.9% | (*.f64 y (*.f64 y y)) |
| ✓ | accuracy | 99.7% | (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) |
| ✓ | accuracy | 95.0% | (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) |
| ✓ | accuracy | 34.5% | (/.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) |
| ✓ | accuracy | 100.0% | (-.f64 y x) |
| ✓ | accuracy | 100.0% | (+.f64 y x) |
| ✓ | accuracy | 100.0% | (*.f64 (+.f64 y x) (-.f64 y x)) |
| ✓ | accuracy | 53.7% | (/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (-.f64 y x)) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64))) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal -1 binary64) (+.f64 y #s(literal 1/2 binary64))) |
| ✓ | accuracy | 99.9% | (fma.f64 (neg.f64 (+.f64 y x)) (/.f64 #s(literal -1 binary64) (+.f64 y #s(literal 1/2 binary64))) (neg.f64 (log.f64 y))) |
| ✓ | accuracy | 99.7% | (/.f64 (fma.f64 (neg.f64 (+.f64 y x)) (/.f64 #s(literal -1 binary64) (+.f64 y #s(literal 1/2 binary64))) (neg.f64 (log.f64 y))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64)))) |
| 68.0ms | 256× | 0 | valid |
Compiled 212 to 37 computations (82.5% saved)
ival-mult: 11.0ms (26.8% of total)ival-div: 9.0ms (21.9% of total)ival-add: 9.0ms (21.9% of total)ival-sub: 5.0ms (12.2% of total)ival-log: 3.0ms (7.3% of total)ival-neg: 2.0ms (4.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ (+ (* (neg (+ y x)) (/ -1 (+ y 1/2))) (neg (log y))) (/ 1 (+ y 1/2)))> |
#<alt (+ (* (neg (+ y x)) (/ -1 (+ y 1/2))) (neg (log y)))> |
#<alt (- (/ (+ (* (neg (+ y x)) (/ -1 (+ y 1/2))) (neg (log y))) (/ 1 (+ y 1/2))) z)> |
#<alt (neg (+ y x))> |
#<alt (/ (* (+ y x) (- y x)) (- y x))> |
#<alt (* (+ y x) (- y x))> |
#<alt (+ y x)> |
#<alt (- y x)> |
#<alt (/ 1 (/ (+ (* x (- x y)) (* y y)) (+ (* x (* x x)) (* y (* y y)))))> |
#<alt (/ (+ (* x (- x y)) (* y y)) (+ (* x (* x x)) (* y (* y y))))> |
#<alt (+ (* x (- x y)) (* y y))> |
#<alt (- x y)> |
#<alt (+ (+ (* (log y) (- -1/2 y)) y) x)> |
#<alt (+ (* (log y) (- -1/2 y)) y)> |
#<alt (log y)> |
#<alt (- -1/2 y)> |
#<alt (/ -1 (+ y 1/2))> |
#<alt (/ 1 (+ y 1/2))> |
#<alt (+ (* x (* x x)) (* y (* y y)))> |
#<alt (* y (* y y))> |
| Outputs |
|---|
#<alt (* 1/2 (- (* 2 x) (log y)))> |
#<alt (+ (* 1/2 (- (* 2 x) (log y))) (* y (- (+ (* 1/2 (- 2 (* 4 x))) (* 2 x)) (log y))))> |
#<alt (+ (* 1/2 (- (* 2 x) (log y))) (* y (- (+ (* 1/2 (- 2 (* 4 x))) (+ (* 2 x) (* y (- (+ 2 (* -1/2 (+ 4 (* -8 x)))) (* 4 x))))) (log y))))> |
#<alt (+ (* 1/2 (- (* 2 x) (log y))) (* y (- (+ (* 1/2 (- 2 (* 4 x))) (+ (* 2 x) (* y (- (+ 2 (+ (* -1/2 (+ 4 (* -8 x))) (* y (+ (* -1 (+ 4 (* -8 x))) (* 1/2 (- 8 (* 16 x))))))) (* 4 x))))) (log y))))> |
#<alt (* y (- 1 (* -1 (log (/ 1 y)))))> |
#<alt (* y (- (+ 1 (+ (* 1/2 (/ (- 1 (* -1 (log (/ 1 y)))) y)) (/ x y))) (+ (* -1 (log (/ 1 y))) (* 1/2 (/ 1 y)))))> |
#<alt (* y (- (+ 1 (+ (* 1/2 (/ (- 1 (* -1 (log (/ 1 y)))) y)) (+ (* 1/2 (/ (- x 1/2) (pow y 2))) (+ (/ 1/4 (pow y 2)) (/ x y))))) (+ (* -1 (log (/ 1 y))) (+ (* 1/2 (/ x (pow y 2))) (* 1/2 (/ 1 y))))))> |
#<alt (* y (- (+ 1 (+ (* -1 (/ (+ 1/8 (* -1/4 x)) (pow y 3))) (+ (* 1/2 (/ (- 1/4 (* 1/2 x)) (pow y 3))) (+ (* 1/2 (/ (- 1 (* -1 (log (/ 1 y)))) y)) (+ (* 1/2 (/ (- x 1/2) (pow y 2))) (+ (/ 1/4 (pow y 2)) (/ x y))))))) (+ (* -1 (log (/ 1 y))) (+ (* 1/2 (/ x (pow y 2))) (* 1/2 (/ 1 y))))))> |
#<alt (* y (- 1 (+ (log -1) (* -1 (log (/ -1 y))))))> |
#<alt (* -1 (* y (+ (* -1 (- 1 (+ (log -1) (* -1 (log (/ -1 y)))))) (* -1 (/ (- (+ x (* 1/2 (- 1 (+ (log -1) (* -1 (log (/ -1 y))))))) 1/2) y)))))> |
#<alt (* -1 (* y (+ (* -1 (- 1 (+ (log -1) (* -1 (log (/ -1 y)))))) (* -1 (/ (- (+ x (+ (* -1 (/ (+ (* -1/2 (- x 1/2)) (* 1/2 (- x 1/2))) y)) (* 1/2 (- 1 (+ (log -1) (* -1 (log (/ -1 y)))))))) 1/2) y)))))> |
#<alt (* -1 (* y (+ (* -1 (- 1 (+ (log -1) (* -1 (log (/ -1 y)))))) (* -1 (/ (- (+ x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (- x 1/2)) (* 1/4 (- x 1/2))) y)) (+ (* -1/2 (- x 1/2)) (* 1/2 (- x 1/2)))) y)) (* 1/2 (- 1 (+ (log -1) (* -1 (log (/ -1 y)))))))) 1/2) y)))))> |
#<alt (* (+ 1/2 y) (- (/ y (+ 1/2 y)) (log y)))> |
#<alt (+ x (* (+ 1/2 y) (- (/ y (+ 1/2 y)) (log y))))> |
#<alt (+ x (* (+ 1/2 y) (- (/ y (+ 1/2 y)) (log y))))> |
#<alt (+ x (* (+ 1/2 y) (- (/ y (+ 1/2 y)) (log y))))> |
#<alt x> |
#<alt (* x (+ 1 (/ (* (+ 1/2 y) (- (/ y (+ 1/2 y)) (log y))) x)))> |
#<alt (* x (+ 1 (/ (* (+ 1/2 y) (- (/ y (+ 1/2 y)) (log y))) x)))> |
#<alt (* x (+ 1 (/ (* (+ 1/2 y) (- (/ y (+ 1/2 y)) (log y))) x)))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (* (+ 1/2 y) (- (/ y (+ 1/2 y)) (log y))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (* (+ 1/2 y) (- (/ y (+ 1/2 y)) (log y))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (* (+ 1/2 y) (- (/ y (+ 1/2 y)) (log y))) x)) 1)))> |
#<alt (- (* 2 x) (log y))> |
#<alt (- (+ (* 2 x) (* y (- 2 (* 4 x)))) (log y))> |
#<alt (- (+ (* 2 x) (* y (- (+ 2 (* -1 (* y (+ 4 (* -8 x))))) (* 4 x)))) (log y))> |
#<alt (- (+ (* 2 x) (* y (- (+ 2 (* y (- (* y (- 8 (* 16 x))) (+ 4 (* -8 x))))) (* 4 x)))) (log y))> |
#<alt (- 1 (* -1 (log (/ 1 y))))> |
#<alt (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (* 1/2 (/ 1 y))))> |
#<alt (- (+ 1 (+ (/ 1/4 (pow y 2)) (/ x y))) (+ (* -1 (log (/ 1 y))) (+ (* 1/2 (/ x (pow y 2))) (* 1/2 (/ 1 y)))))> |
#<alt (- (+ 1 (+ (* -1 (/ (+ 1/8 (* -1/4 x)) (pow y 3))) (+ (/ 1/4 (pow y 2)) (/ x y)))) (+ (* -1 (log (/ 1 y))) (+ (* 1/2 (/ x (pow y 2))) (* 1/2 (/ 1 y)))))> |
#<alt (- 1 (+ (log -1) (* -1 (log (/ -1 y)))))> |
#<alt (- (+ 1 (/ x y)) (+ (log -1) (+ (* -1 (log (/ -1 y))) (* 1/2 (/ 1 y)))))> |
#<alt (- (+ 1 (* -1 (/ (+ (* -1 (- x 1/2)) (* 1/2 (/ (- x 1/2) y))) y))) (+ (log -1) (* -1 (log (/ -1 y)))))> |
#<alt (- (+ 1 (* -1 (/ (+ (* -1 (- x 1/2)) (* -1 (/ (+ (* -1/2 (- x 1/2)) (* 1/4 (/ (- x 1/2) y))) y))) y))) (+ (log -1) (* -1 (log (/ -1 y)))))> |
#<alt (- (/ y (+ 1/2 y)) (log y))> |
#<alt (- (+ (/ x (+ 1/2 y)) (/ y (+ 1/2 y))) (log y))> |
#<alt (- (+ (/ x (+ 1/2 y)) (/ y (+ 1/2 y))) (log y))> |
#<alt (- (+ (/ x (+ 1/2 y)) (/ y (+ 1/2 y))) (log y))> |
#<alt (/ x (+ 1/2 y))> |
#<alt (* x (- (+ (/ 1 (+ 1/2 y)) (/ y (* x (+ 1/2 y)))) (/ (log y) x)))> |
#<alt (* x (- (+ (/ 1 (+ 1/2 y)) (/ y (* x (+ 1/2 y)))) (/ (log y) x)))> |
#<alt (* x (- (+ (/ 1 (+ 1/2 y)) (/ y (* x (+ 1/2 y)))) (/ (log y) x)))> |
#<alt (/ x (+ 1/2 y))> |
#<alt (* -1 (* x (- (* -1 (/ (- (/ y (+ 1/2 y)) (log y)) x)) (/ 1 (+ 1/2 y)))))> |
#<alt (* -1 (* x (- (* -1 (/ (- (/ y (+ 1/2 y)) (log y)) x)) (/ 1 (+ 1/2 y)))))> |
#<alt (* -1 (* x (- (* -1 (/ (- (/ y (+ 1/2 y)) (log y)) x)) (/ 1 (+ 1/2 y)))))> |
#<alt (- (* 1/2 (- (* 2 x) (log y))) z)> |
#<alt (- (+ (* 1/2 (- (* 2 x) (log y))) (* y (- (+ (* 1/2 (- 2 (* 4 x))) (* 2 x)) (log y)))) z)> |
#<alt (- (+ (* 1/2 (- (* 2 x) (log y))) (* y (- (+ (* 1/2 (- 2 (* 4 x))) (+ (* 2 x) (* y (- (+ 2 (* -1/2 (+ 4 (* -8 x)))) (* 4 x))))) (log y)))) z)> |
#<alt (- (+ (* 1/2 (- (* 2 x) (log y))) (* y (- (+ (* 1/2 (- 2 (* 4 x))) (+ (* 2 x) (* y (- (+ 2 (+ (* -1/2 (+ 4 (* -8 x))) (* y (+ (* -1 (+ 4 (* -8 x))) (* 1/2 (- 8 (* 16 x))))))) (* 4 x))))) (log y)))) z)> |
#<alt (* y (- 1 (* -1 (log (/ 1 y)))))> |
#<alt (* y (- (+ 1 (+ (* 1/2 (/ (- 1 (* -1 (log (/ 1 y)))) y)) (/ x y))) (+ (* -1 (log (/ 1 y))) (+ (* 1/2 (/ 1 y)) (/ z y)))))> |
#<alt (* y (- (+ 1 (+ (* 1/2 (/ (- 1 (* -1 (log (/ 1 y)))) y)) (+ (* 1/2 (/ (- x 1/2) (pow y 2))) (+ (/ 1/4 (pow y 2)) (/ x y))))) (+ (* -1 (log (/ 1 y))) (+ (* 1/2 (/ x (pow y 2))) (+ (* 1/2 (/ 1 y)) (/ z y))))))> |
#<alt (* y (- (+ 1 (+ (* -1 (/ (+ 1/8 (* -1/4 x)) (pow y 3))) (+ (* 1/2 (/ (- 1/4 (* 1/2 x)) (pow y 3))) (+ (* 1/2 (/ (- 1 (* -1 (log (/ 1 y)))) y)) (+ (* 1/2 (/ (- x 1/2) (pow y 2))) (+ (/ 1/4 (pow y 2)) (/ x y))))))) (+ (* -1 (log (/ 1 y))) (+ (* 1/2 (/ x (pow y 2))) (+ (* 1/2 (/ 1 y)) (/ z y))))))> |
#<alt (* y (- 1 (+ (log -1) (* -1 (log (/ -1 y))))))> |
#<alt (* -1 (* y (+ (* -1 (- 1 (+ (log -1) (* -1 (log (/ -1 y)))))) (* -1 (/ (- (+ x (* 1/2 (- 1 (+ (log -1) (* -1 (log (/ -1 y))))))) (+ 1/2 z)) y)))))> |
#<alt (* -1 (* y (+ (* -1 (- 1 (+ (log -1) (* -1 (log (/ -1 y)))))) (* -1 (/ (- (+ x (+ (* -1 (/ (+ (* -1/2 (- x 1/2)) (* 1/2 (- x 1/2))) y)) (* 1/2 (- 1 (+ (log -1) (* -1 (log (/ -1 y)))))))) (+ 1/2 z)) y)))))> |
#<alt (* -1 (* y (+ (* -1 (- 1 (+ (log -1) (* -1 (log (/ -1 y)))))) (* -1 (/ (- (+ x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (- x 1/2)) (* 1/4 (- x 1/2))) y)) (+ (* -1/2 (- x 1/2)) (* 1/2 (- x 1/2)))) y)) (* 1/2 (- 1 (+ (log -1) (* -1 (log (/ -1 y)))))))) (+ 1/2 z)) y)))))> |
#<alt (- (* (+ 1/2 y) (- (/ y (+ 1/2 y)) (log y))) z)> |
#<alt (- (+ x (* (+ 1/2 y) (- (/ y (+ 1/2 y)) (log y)))) z)> |
#<alt (- (+ x (* (+ 1/2 y) (- (/ y (+ 1/2 y)) (log y)))) z)> |
#<alt (- (+ x (* (+ 1/2 y) (- (/ y (+ 1/2 y)) (log y)))) z)> |
#<alt x> |
#<alt (* x (- (+ 1 (/ (* (+ 1/2 y) (- (/ y (+ 1/2 y)) (log y))) x)) (/ z x)))> |
#<alt (* x (- (+ 1 (/ (* (+ 1/2 y) (- (/ y (+ 1/2 y)) (log y))) x)) (/ z x)))> |
#<alt (* x (- (+ 1 (/ (* (+ 1/2 y) (- (/ y (+ 1/2 y)) (log y))) x)) (/ z x)))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (- (* (+ 1/2 y) (- (/ y (+ 1/2 y)) (log y))) z) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (- (* (+ 1/2 y) (- (/ y (+ 1/2 y)) (log y))) z) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (- (* (+ 1/2 y) (- (/ y (+ 1/2 y)) (log y))) z) x)) 1)))> |
#<alt (* (+ 1/2 y) (- (+ (/ x (+ 1/2 y)) (/ y (+ 1/2 y))) (log y)))> |
#<alt (+ (* -1 z) (* (+ 1/2 y) (- (+ (/ x (+ 1/2 y)) (/ y (+ 1/2 y))) (log y))))> |
#<alt (+ (* -1 z) (* (+ 1/2 y) (- (+ (/ x (+ 1/2 y)) (/ y (+ 1/2 y))) (log y))))> |
#<alt (+ (* -1 z) (* (+ 1/2 y) (- (+ (/ x (+ 1/2 y)) (/ y (+ 1/2 y))) (log y))))> |
#<alt (* -1 z)> |
#<alt (* z (- (/ (* (+ 1/2 y) (- (+ (/ x (+ 1/2 y)) (/ y (+ 1/2 y))) (log y))) z) 1))> |
#<alt (* z (- (/ (* (+ 1/2 y) (- (+ (/ x (+ 1/2 y)) (/ y (+ 1/2 y))) (log y))) z) 1))> |
#<alt (* z (- (/ (* (+ 1/2 y) (- (+ (/ x (+ 1/2 y)) (/ y (+ 1/2 y))) (log y))) z) 1))> |
#<alt (* -1 z)> |
#<alt (* -1 (* z (+ 1 (* -1 (/ (* (+ 1/2 y) (- (+ (/ x (+ 1/2 y)) (/ y (+ 1/2 y))) (log y))) z)))))> |
#<alt (* -1 (* z (+ 1 (* -1 (/ (* (+ 1/2 y) (- (+ (/ x (+ 1/2 y)) (/ y (+ 1/2 y))) (log y))) z)))))> |
#<alt (* -1 (* z (+ 1 (* -1 (/ (* (+ 1/2 y) (- (+ (/ x (+ 1/2 y)) (/ y (+ 1/2 y))) (log y))) z)))))> |
#<alt (* -1 x)> |
#<alt (- (* -1 y) x)> |
#<alt (- (* -1 y) x)> |
#<alt (- (* -1 y) x)> |
#<alt (* -1 y)> |
#<alt (* y (- (* -1 (/ x y)) 1))> |
#<alt (* y (- (* -1 (/ x y)) 1))> |
#<alt (* y (- (* -1 (/ x y)) 1))> |
#<alt (* -1 y)> |
#<alt (* -1 (* y (+ 1 (/ x y))))> |
#<alt (* -1 (* y (+ 1 (/ x y))))> |
#<alt (* -1 (* y (+ 1 (/ x y))))> |
#<alt (* -1 y)> |
#<alt (- (* -1 x) y)> |
#<alt (- (* -1 x) y)> |
#<alt (- (* -1 x) y)> |
#<alt (* -1 x)> |
#<alt (* x (- (* -1 (/ y x)) 1))> |
#<alt (* x (- (* -1 (/ y x)) 1))> |
#<alt (* x (- (* -1 (/ y x)) 1))> |
#<alt (* -1 x)> |
#<alt (* -1 (* x (+ 1 (/ y x))))> |
#<alt (* -1 (* x (+ 1 (/ y x))))> |
#<alt (* -1 (* x (+ 1 (/ y x))))> |
#<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 (pow x 2))> |
#<alt (+ (* -1 (pow x 2)) (* y (+ x (* -1 x))))> |
#<alt (+ (* -1 (pow x 2)) (* y (+ x (+ y (* -1 x)))))> |
#<alt (+ (* -1 (pow x 2)) (* y (+ x (+ y (* -1 x)))))> |
#<alt (pow y 2)> |
#<alt (* (pow y 2) (+ 1 (+ (* -1 (/ x y)) (/ x y))))> |
#<alt (* (pow y 2) (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ (pow x 2) (pow y 2))) (/ x y)))))> |
#<alt (* (pow y 2) (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ (pow x 2) (pow y 2))) (/ x y)))))> |
#<alt (pow y 2)> |
#<alt (* (pow y 2) (+ 1 (+ (* -1 (/ x y)) (/ x y))))> |
#<alt (* (pow y 2) (+ 1 (* -1 (/ (+ (* -1 (+ x (* -1 x))) (/ (pow x 2) y)) y))))> |
#<alt (* (pow y 2) (+ 1 (* -1 (/ (+ (* -1 (+ x (* -1 x))) (/ (pow x 2) y)) y))))> |
#<alt (pow y 2)> |
#<alt (+ (* x (+ y (* -1 y))) (pow y 2))> |
#<alt (+ (* x (+ y (+ (* -1 x) (* -1 y)))) (pow y 2))> |
#<alt (+ (* x (+ y (+ (* -1 x) (* -1 y)))) (pow y 2))> |
#<alt (* -1 (pow x 2))> |
#<alt (* (pow x 2) (- (+ (* -1 (/ y x)) (/ y x)) 1))> |
#<alt (* (pow x 2) (- (+ (* -1 (/ y x)) (+ (/ y x) (/ (pow y 2) (pow x 2)))) 1))> |
#<alt (* (pow x 2) (- (+ (* -1 (/ y x)) (+ (/ y x) (/ (pow y 2) (pow x 2)))) 1))> |
#<alt (* -1 (pow x 2))> |
#<alt (* (pow x 2) (- (* -1 (/ (+ y (* -1 y)) x)) 1))> |
#<alt (* (pow x 2) (- (* -1 (/ (+ y (+ (* -1 y) (* -1 (/ (pow y 2) x)))) x)) 1))> |
#<alt (* (pow x 2) (- (* -1 (/ (+ y (+ (* -1 y) (* -1 (/ (pow y 2) x)))) 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 x)> |
#<alt (- y x)> |
#<alt (- y x)> |
#<alt (- y x)> |
#<alt y> |
#<alt (* y (+ 1 (* -1 (/ x y))))> |
#<alt (* y (+ 1 (* -1 (/ x y))))> |
#<alt (* y (+ 1 (* -1 (/ x y))))> |
#<alt y> |
#<alt (* -1 (* y (- (/ x y) 1)))> |
#<alt (* -1 (* y (- (/ x y) 1)))> |
#<alt (* -1 (* y (- (/ x y) 1)))> |
#<alt y> |
#<alt (+ y (* -1 x))> |
#<alt (+ y (* -1 x))> |
#<alt (+ y (* -1 x))> |
#<alt (* -1 x)> |
#<alt (* x (- (/ y x) 1))> |
#<alt (* x (- (/ y x) 1))> |
#<alt (* x (- (/ y x) 1))> |
#<alt (* -1 x)> |
#<alt (* -1 (* x (+ 1 (* -1 (/ y x)))))> |
#<alt (* -1 (* x (+ 1 (* -1 (/ y x)))))> |
#<alt (* -1 (* x (+ 1 (* -1 (/ y x)))))> |
#<alt y> |
#<alt (+ x y)> |
#<alt (+ x y)> |
#<alt (+ x y)> |
#<alt x> |
#<alt (* x (+ 1 (/ y x)))> |
#<alt (* x (- (+ 1 (* -1 (/ (+ (* -1 (pow y 2)) (pow y 2)) (pow x 2)))) (* -1 (/ y x))))> |
#<alt (* x (- (+ 1 (* -1 (/ (* y (+ (* -1 (pow y 2)) (pow y 2))) (pow x 3)))) (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (pow y 2) x)) (/ (pow y 2) x)) (* -1 y)) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* y (+ (* -1 (pow y 2)) (pow y 2))) x)) (+ (* -1 (pow y 2)) (pow y 2))) x)) (* -1 y)) x)) 1)))> |
#<alt x> |
#<alt (+ x y)> |
#<alt (+ x y)> |
#<alt (+ x y)> |
#<alt y> |
#<alt (* y (+ 1 (/ x y)))> |
#<alt (* y (- (+ 1 (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) (pow y 2)))) (* -1 (/ x y))))> |
#<alt (* y (- (+ 1 (* -1 (/ (* x (+ (* -1 (pow x 2)) (pow x 2))) (pow y 3)))) (+ (* -1 (/ x y)) (+ (* -1 (/ (pow x 2) (pow y 2))) (/ (pow x 2) (pow y 2))))))> |
#<alt y> |
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))> |
#<alt (* -1 (* y (- (* -1 (/ (- (+ (* -1 (/ (pow x 2) y)) (/ (pow x 2) y)) (* -1 x)) y)) 1)))> |
#<alt (* -1 (* y (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* x (+ (* -1 (pow x 2)) (pow x 2))) y)) (+ (* -1 (pow x 2)) (pow x 2))) y)) (* -1 x)) y)) 1)))> |
#<alt (/ 1 y)> |
#<alt (+ (* -1 (/ x (pow y 2))) (/ 1 y))> |
#<alt (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y))> |
#<alt (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))> |
#<alt (/ 1 x)> |
#<alt (/ (+ 1 (* -1 (/ y x))) x)> |
#<alt (/ (+ 1 (+ (* -1 (/ y x)) (/ (pow y 2) (pow x 2)))) x)> |
#<alt (/ (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 3) (pow x 3))) (/ (pow y 2) (pow x 2))))) x)> |
#<alt (/ 1 x)> |
#<alt (* -1 (/ (- (/ y x) 1) x))> |
#<alt (* -1 (/ (- (* -1 (/ (+ (* -1 y) (/ (pow y 2) x)) x)) 1) x))> |
#<alt (* -1 (/ (- (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1 (pow y 2)) (/ (pow y 3) x)) x))) x)) 1) x))> |
#<alt (/ 1 x)> |
#<alt (+ (* -1 (/ y (pow x 2))) (/ 1 x))> |
#<alt (+ (* y (- (/ y (pow x 3)) (/ 1 (pow x 2)))) (/ 1 x))> |
#<alt (+ (* y (- (* y (+ (* -1 (/ y (pow x 4))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x))> |
#<alt (/ 1 y)> |
#<alt (/ (+ 1 (* -1 (/ x y))) y)> |
#<alt (/ (+ 1 (+ (* -1 (/ x y)) (/ (pow x 2) (pow y 2)))) y)> |
#<alt (/ (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ (pow x 3) (pow y 3))) (/ (pow x 2) (pow y 2))))) y)> |
#<alt (/ 1 y)> |
#<alt (* -1 (/ (- (/ x y) 1) y))> |
#<alt (* -1 (/ (- (* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y)) 1) y))> |
#<alt (* -1 (/ (- (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (pow x 2)) (/ (pow x 3) y)) y))) y)) 1) y))> |
#<alt (pow y 2)> |
#<alt (+ (* -1 (* x y)) (pow y 2))> |
#<alt (+ (* x (+ x (* -1 y))) (pow y 2))> |
#<alt (+ (* x (+ x (* -1 y))) (pow y 2))> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (+ 1 (* -1 (/ y x))))> |
#<alt (* (pow x 2) (- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x)))> |
#<alt (* (pow x 2) (- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x)))> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (+ 1 (* -1 (/ y x))))> |
#<alt (* (pow x 2) (+ 1 (* -1 (/ (+ y (* -1 (/ (pow y 2) x))) x))))> |
#<alt (* (pow x 2) (+ 1 (* -1 (/ (+ y (* -1 (/ (pow y 2) x))) x))))> |
#<alt (pow x 2)> |
#<alt (+ (* -1 (* x y)) (pow x 2))> |
#<alt (+ (* y (+ y (* -1 x))) (pow x 2))> |
#<alt (+ (* y (+ y (* -1 x))) (pow x 2))> |
#<alt (pow y 2)> |
#<alt (* (pow y 2) (+ 1 (* -1 (/ x y))))> |
#<alt (* (pow y 2) (+ 1 (+ (* -1 (/ x y)) (/ (pow x 2) (pow y 2)))))> |
#<alt (* (pow y 2) (+ 1 (+ (* -1 (/ x y)) (/ (pow x 2) (pow y 2)))))> |
#<alt (pow y 2)> |
#<alt (* (pow y 2) (+ 1 (* -1 (/ x y))))> |
#<alt (* (pow y 2) (+ 1 (* -1 (/ (+ x (* -1 (/ (pow x 2) y))) y))))> |
#<alt (* (pow y 2) (+ 1 (* -1 (/ (+ x (* -1 (/ (pow x 2) y))) y))))> |
#<alt (* -1 y)> |
#<alt (- x y)> |
#<alt (- x y)> |
#<alt (- x y)> |
#<alt x> |
#<alt (* x (+ 1 (* -1 (/ y x))))> |
#<alt (* x (+ 1 (* -1 (/ y x))))> |
#<alt (* x (+ 1 (* -1 (/ y x))))> |
#<alt x> |
#<alt (* -1 (* x (- (/ y x) 1)))> |
#<alt (* -1 (* x (- (/ y x) 1)))> |
#<alt (* -1 (* x (- (/ y x) 1)))> |
#<alt x> |
#<alt (+ x (* -1 y))> |
#<alt (+ x (* -1 y))> |
#<alt (+ x (* -1 y))> |
#<alt (* -1 y)> |
#<alt (* y (- (/ x y) 1))> |
#<alt (* y (- (/ x y) 1))> |
#<alt (* y (- (/ x y) 1))> |
#<alt (* -1 y)> |
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))> |
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))> |
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))> |
#<alt (+ x (* -1/2 (log y)))> |
#<alt (+ x (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y))))))> |
#<alt (+ x (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y))))))> |
#<alt (+ x (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y))))))> |
#<alt (* y (+ 1 (log (/ 1 y))))> |
#<alt (* y (+ 1 (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y)))))> |
#<alt (* y (+ 1 (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y)))))> |
#<alt (* y (+ 1 (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y)))))> |
#<alt (* -1 (* y (- (+ (log -1) (* -1 (log (/ -1 y)))) 1)))> |
#<alt (* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)))) 1)))> |
#<alt (* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)))) 1)))> |
#<alt (* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)))) 1)))> |
#<alt (+ y (* -1 (* (log y) (+ 1/2 y))))> |
#<alt (+ x (+ y (* -1 (* (log y) (+ 1/2 y)))))> |
#<alt (+ x (+ y (* -1 (* (log y) (+ 1/2 y)))))> |
#<alt (+ x (+ y (* -1 (* (log y) (+ 1/2 y)))))> |
#<alt x> |
#<alt (* x (+ 1 (+ (* -1 (/ (* (log y) (+ 1/2 y)) x)) (/ y x))))> |
#<alt (* x (+ 1 (+ (* -1 (/ (* (log y) (+ 1/2 y)) x)) (/ y x))))> |
#<alt (* x (+ 1 (+ (* -1 (/ (* (log y) (+ 1/2 y)) x)) (/ y x))))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (+ y (* -1 (* (log y) (+ 1/2 y)))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (+ y (* -1 (* (log y) (+ 1/2 y)))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (+ y (* -1 (* (log y) (+ 1/2 y)))) x)) 1)))> |
#<alt (* -1/2 (log y))> |
#<alt (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y)))))> |
#<alt (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y)))))> |
#<alt (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y)))))> |
#<alt (* y (+ 1 (log (/ 1 y))))> |
#<alt (* y (+ 1 (+ (log (/ 1 y)) (* 1/2 (/ (log (/ 1 y)) y)))))> |
#<alt (* y (+ 1 (+ (log (/ 1 y)) (* 1/2 (/ (log (/ 1 y)) y)))))> |
#<alt (* y (+ 1 (+ (log (/ 1 y)) (* 1/2 (/ (log (/ 1 y)) y)))))> |
#<alt (* -1 (* y (- (+ (log -1) (* -1 (log (/ -1 y)))) 1)))> |
#<alt (* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y)))) 1)))> |
#<alt (* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y)))) 1)))> |
#<alt (* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y)))) 1)))> |
#<alt (log y)> |
#<alt (log y)> |
#<alt (log y)> |
#<alt (log y)> |
#<alt (* -1 (log (/ 1 y)))> |
#<alt (* -1 (log (/ 1 y)))> |
#<alt (* -1 (log (/ 1 y)))> |
#<alt (* -1 (log (/ 1 y)))> |
#<alt (+ (log -1) (* -1 (log (/ -1 y))))> |
#<alt (+ (log -1) (* -1 (log (/ -1 y))))> |
#<alt (+ (log -1) (* -1 (log (/ -1 y))))> |
#<alt (+ (log -1) (* -1 (log (/ -1 y))))> |
#<alt -1/2> |
#<alt (- (* -1 y) 1/2)> |
#<alt (- (* -1 y) 1/2)> |
#<alt (- (* -1 y) 1/2)> |
#<alt (* -1 y)> |
#<alt (* -1 (* y (+ 1 (* 1/2 (/ 1 y)))))> |
#<alt (* -1 (* y (+ 1 (* 1/2 (/ 1 y)))))> |
#<alt (* -1 (* y (+ 1 (* 1/2 (/ 1 y)))))> |
#<alt (* -1 y)> |
#<alt (* -1 (* y (+ 1 (* 1/2 (/ 1 y)))))> |
#<alt (* -1 (* y (+ 1 (* 1/2 (/ 1 y)))))> |
#<alt (* -1 (* y (+ 1 (* 1/2 (/ 1 y)))))> |
#<alt -2> |
#<alt (- (* 4 y) 2)> |
#<alt (- (* y (+ 4 (* -8 y))) 2)> |
#<alt (- (* y (+ 4 (* y (- (* 16 y) 8)))) 2)> |
#<alt (/ -1 y)> |
#<alt (/ (- (* 1/2 (/ 1 y)) 1) y)> |
#<alt (/ (- (* 1/2 (/ 1 y)) (+ 1 (/ 1/4 (pow y 2)))) y)> |
#<alt (/ (- (+ (* 1/2 (/ 1 y)) (* 1/8 (/ 1 (pow y 3)))) (+ 1 (/ 1/4 (pow y 2)))) y)> |
#<alt (/ -1 y)> |
#<alt (* -1 (/ (- 1 (* 1/2 (/ 1 y))) y))> |
#<alt (* -1 (/ (+ 1 (* -1 (/ (- 1/2 (* 1/4 (/ 1 y))) y))) y))> |
#<alt (* -1 (/ (+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/4 (* 1/8 (/ 1 y))) y))) y))) y))> |
#<alt 2> |
#<alt (+ 2 (* -4 y))> |
#<alt (+ 2 (* y (- (* 8 y) 4)))> |
#<alt (+ 2 (* y (- (* y (+ 8 (* -16 y))) 4)))> |
#<alt (/ 1 y)> |
#<alt (/ (- 1 (* 1/2 (/ 1 y))) y)> |
#<alt (/ (- (+ 1 (/ 1/4 (pow y 2))) (* 1/2 (/ 1 y))) y)> |
#<alt (/ (- (+ 1 (/ 1/4 (pow y 2))) (+ (* 1/2 (/ 1 y)) (* 1/8 (/ 1 (pow y 3))))) y)> |
#<alt (/ 1 y)> |
#<alt (* -1 (/ (- (* 1/2 (/ 1 y)) 1) y))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 y)) 1/2) y)) 1) y))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 y)) 1/4) y)) 1/2) y)) 1) y))> |
#<alt (pow y 3)> |
#<alt (+ (pow x 3) (pow y 3))> |
#<alt (+ (pow x 3) (pow y 3))> |
#<alt (+ (pow x 3) (pow y 3))> |
#<alt (pow x 3)> |
#<alt (* (pow x 3) (+ 1 (/ (pow y 3) (pow x 3))))> |
#<alt (* (pow x 3) (+ 1 (/ (pow y 3) (pow x 3))))> |
#<alt (* (pow x 3) (+ 1 (/ (pow y 3) (pow x 3))))> |
#<alt (pow x 3)> |
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (pow y 3) (pow x 3))) 1)))> |
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (pow y 3) (pow x 3))) 1)))> |
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (pow y 3) (pow x 3))) 1)))> |
#<alt (pow x 3)> |
#<alt (+ (pow x 3) (pow y 3))> |
#<alt (+ (pow x 3) (pow y 3))> |
#<alt (+ (pow x 3) (pow y 3))> |
#<alt (pow y 3)> |
#<alt (* (pow y 3) (+ 1 (/ (pow x 3) (pow y 3))))> |
#<alt (* (pow y 3) (+ 1 (/ (pow x 3) (pow y 3))))> |
#<alt (* (pow y 3) (+ 1 (/ (pow x 3) (pow y 3))))> |
#<alt (pow y 3)> |
#<alt (* -1 (* (pow y 3) (- (* -1 (/ (pow x 3) (pow y 3))) 1)))> |
#<alt (* -1 (* (pow y 3) (- (* -1 (/ (pow x 3) (pow y 3))) 1)))> |
#<alt (* -1 (* (pow y 3) (- (* -1 (/ (pow x 3) (pow y 3))) 1)))> |
#<alt (pow y 3)> |
#<alt (pow y 3)> |
#<alt (pow y 3)> |
#<alt (pow y 3)> |
#<alt (pow y 3)> |
#<alt (pow y 3)> |
#<alt (pow y 3)> |
#<alt (pow y 3)> |
#<alt (pow y 3)> |
#<alt (pow y 3)> |
#<alt (pow y 3)> |
#<alt (pow y 3)> |
105 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | y | @ | -inf | (+ (* (neg (+ y x)) (/ -1 (+ y 1/2))) (neg (log y))) |
| 2.0ms | y | @ | inf | (/ -1 (+ y 1/2)) |
| 1.0ms | x | @ | 0 | (/ 1 (/ (+ (* x (- x y)) (* y y)) (+ (* x (* x x)) (* y (* y y))))) |
| 1.0ms | y | @ | 0 | (/ 1 (/ (+ (* x (- x y)) (* y y)) (+ (* x (* x x)) (* y (* y y))))) |
| 1.0ms | y | @ | 0 | (/ (+ (* (neg (+ y x)) (/ -1 (+ y 1/2))) (neg (log y))) (/ 1 (+ y 1/2))) |
| 1× | batch-egg-rewrite |
| 5 146× | accelerator-lowering-fma.f32 |
| 5 146× | accelerator-lowering-fma.f64 |
| 4 680× | /-lowering-/.f32 |
| 4 680× | /-lowering-/.f64 |
| 4 588× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 172 |
| 1 | 231 | 123 |
| 2 | 2150 | 123 |
| 0 | 9519 | 120 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (+ (* (neg (+ y x)) (/ -1 (+ y 1/2))) (neg (log y))) (/ 1 (+ y 1/2))) |
(+ (* (neg (+ y x)) (/ -1 (+ y 1/2))) (neg (log y))) |
(- (/ (+ (* (neg (+ y x)) (/ -1 (+ y 1/2))) (neg (log y))) (/ 1 (+ y 1/2))) z) |
(neg (+ y x)) |
(/ (* (+ y x) (- y x)) (- y x)) |
(* (+ y x) (- y x)) |
(+ y x) |
(- y x) |
(/ 1 (/ (+ (* x (- x y)) (* y y)) (+ (* x (* x x)) (* y (* y y))))) |
(/ (+ (* x (- x y)) (* y y)) (+ (* x (* x x)) (* y (* y y)))) |
(+ (* x (- x y)) (* y y)) |
(- x y) |
(+ (+ (* (log y) (- -1/2 y)) y) x) |
(+ (* (log y) (- -1/2 y)) y) |
(log y) |
(- -1/2 y) |
(/ -1 (+ y 1/2)) |
(/ 1 (+ y 1/2)) |
(+ (* x (* x x)) (* y (* y y))) |
(* y (* y y)) |
| Outputs |
|---|
(+.f64 (*.f64 (-.f64 (/.f64 (+.f64 y x) (+.f64 y #s(literal 1/2 binary64))) (log.f64 y)) y) (*.f64 (-.f64 (/.f64 (+.f64 y x) (+.f64 y #s(literal 1/2 binary64))) (log.f64 y)) #s(literal 1/2 binary64))) |
(+.f64 (*.f64 (-.f64 (/.f64 (+.f64 y x) (+.f64 y #s(literal 1/2 binary64))) (log.f64 y)) #s(literal 1/2 binary64)) (*.f64 (-.f64 (/.f64 (+.f64 y x) (+.f64 y #s(literal 1/2 binary64))) (log.f64 y)) y)) |
(+.f64 (*.f64 y (-.f64 (/.f64 (+.f64 y x) (+.f64 y #s(literal 1/2 binary64))) (log.f64 y))) (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (+.f64 y x) (+.f64 y #s(literal 1/2 binary64))) (log.f64 y)))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (+.f64 y x) (+.f64 y #s(literal 1/2 binary64))) (log.f64 y))) (*.f64 y (-.f64 (/.f64 (+.f64 y x) (+.f64 y #s(literal 1/2 binary64))) (log.f64 y)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 (/.f64 (+.f64 y x) (+.f64 y #s(literal 1/2 binary64))) (log.f64 y)) (-.f64 #s(literal -1/2 binary64) y)))) #s(literal -1 binary64))) |
(-.f64 (/.f64 (/.f64 (+.f64 y x) (+.f64 y #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64)))) (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (+.f64 y #s(literal 1/2 binary64)))) (/.f64 (-.f64 (/.f64 (+.f64 y x) (+.f64 y #s(literal 1/2 binary64))) (log.f64 y)) (/.f64 #s(literal -1 binary64) (+.f64 y #s(literal 1/2 binary64))))) |
(-.f64 (/.f64 (neg.f64 (log.f64 y)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64)))) (/.f64 (/.f64 (+.f64 y x) (-.f64 #s(literal -1/2 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64)))) (/.f64 (-.f64 (log.f64 y) (/.f64 (+.f64 y x) (+.f64 y #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64))))) |
(-.f64 (/.f64 (/.f64 (/.f64 (+.f64 y x) (+.f64 y #s(literal 1/2 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64)))) (/.f64 (/.f64 (log.f64 y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64))))) |
(-.f64 (/.f64 (/.f64 (/.f64 (*.f64 (+.f64 y x) (+.f64 y x)) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (+.f64 y #s(literal 1/2 binary64)))) (-.f64 (/.f64 (+.f64 y x) (+.f64 y #s(literal 1/2 binary64))) (neg.f64 (log.f64 y)))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64)))) (/.f64 (/.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (-.f64 (/.f64 (+.f64 y x) (+.f64 y #s(literal 1/2 binary64))) (neg.f64 (log.f64 y)))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64))))) |
(-.f64 (/.f64 (+.f64 (/.f64 (+.f64 y x) (+.f64 y #s(literal 1/2 binary64))) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64)))) (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64))))) |
(-.f64 (/.f64 (/.f64 (/.f64 (+.f64 y x) (+.f64 y #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (/.f64 (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64)))) #s(literal 1 binary64))) |
(-.f64 (/.f64 (/.f64 (*.f64 (+.f64 y x) (+.f64 y x)) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (+.f64 y #s(literal 1/2 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64))) (-.f64 (/.f64 (+.f64 y x) (+.f64 y #s(literal 1/2 binary64))) (neg.f64 (log.f64 y))))) (/.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64))) (-.f64 (/.f64 (+.f64 y x) (+.f64 y #s(literal 1/2 binary64))) (neg.f64 (log.f64 y)))))) |
(fma.f64 y (-.f64 (/.f64 (+.f64 y x) (+.f64 y #s(literal 1/2 binary64))) (log.f64 y)) (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (+.f64 y x) (+.f64 y #s(literal 1/2 binary64))) (log.f64 y)))) |
(fma.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (+.f64 y x) (+.f64 y #s(literal 1/2 binary64))) (log.f64 y)) (*.f64 y (-.f64 (/.f64 (+.f64 y x) (+.f64 y #s(literal 1/2 binary64))) (log.f64 y)))) |
(fma.f64 (-.f64 (/.f64 (+.f64 y x) (+.f64 y #s(literal 1/2 binary64))) (log.f64 y)) y (*.f64 (-.f64 (/.f64 (+.f64 y x) (+.f64 y #s(literal 1/2 binary64))) (log.f64 y)) #s(literal 1/2 binary64))) |
(fma.f64 (-.f64 (/.f64 (+.f64 y x) (+.f64 y #s(literal 1/2 binary64))) (log.f64 y)) #s(literal 1/2 binary64) (*.f64 (-.f64 (/.f64 (+.f64 y x) (+.f64 y #s(literal 1/2 binary64))) (log.f64 y)) y)) |
(neg.f64 (/.f64 (-.f64 (/.f64 (+.f64 y x) (+.f64 y #s(literal 1/2 binary64))) (log.f64 y)) (/.f64 #s(literal -1 binary64) (+.f64 y #s(literal 1/2 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 (/.f64 (+.f64 y x) (+.f64 y #s(literal 1/2 binary64))) (log.f64 y)) (-.f64 #s(literal -1/2 binary64) y))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 (/.f64 (+.f64 y x) (+.f64 y #s(literal 1/2 binary64))) (log.f64 y)) (-.f64 #s(literal -1/2 binary64) y))) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (/.f64 (+.f64 y x) (+.f64 y #s(literal 1/2 binary64))) (log.f64 y)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 (/.f64 (+.f64 y x) (+.f64 y #s(literal 1/2 binary64))) (log.f64 y)) (-.f64 #s(literal -1/2 binary64) y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 (/.f64 (+.f64 y x) (+.f64 y #s(literal 1/2 binary64))) (log.f64 y)) (-.f64 #s(literal -1/2 binary64) y))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 (/.f64 (+.f64 y x) (+.f64 y #s(literal 1/2 binary64))) (log.f64 y)) (-.f64 #s(literal -1/2 binary64) y)))))) |
(/.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (-.f64 (/.f64 (+.f64 y x) (+.f64 y #s(literal 1/2 binary64))) (log.f64 y))) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (-.f64 (/.f64 (+.f64 y x) (+.f64 y #s(literal 1/2 binary64))) (log.f64 y))) (/.f64 #s(literal -1 binary64) (+.f64 y #s(literal 1/2 binary64)))) |
(/.f64 (+.f64 (/.f64 (*.f64 (+.f64 y x) (*.f64 (+.f64 y x) (+.f64 y x))) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (+.f64 y #s(literal 1/2 binary64))))) (neg.f64 (pow.f64 (log.f64 y) #s(literal 3 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64))) (fma.f64 (neg.f64 (log.f64 y)) (-.f64 (neg.f64 (log.f64 y)) (/.f64 (+.f64 y x) (+.f64 y #s(literal 1/2 binary64)))) (/.f64 (*.f64 (+.f64 y x) (+.f64 y x)) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (+.f64 y #s(literal 1/2 binary64))))))) |
(/.f64 (-.f64 (/.f64 (*.f64 (+.f64 y x) (+.f64 y x)) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (+.f64 y #s(literal 1/2 binary64)))) (pow.f64 (log.f64 y) #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64))) (-.f64 (/.f64 (+.f64 y x) (+.f64 y #s(literal 1/2 binary64))) (neg.f64 (log.f64 y))))) |
(/.f64 (*.f64 (+.f64 (/.f64 (*.f64 (+.f64 y x) (*.f64 (+.f64 y x) (+.f64 y x))) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (+.f64 y #s(literal 1/2 binary64))))) (neg.f64 (pow.f64 (log.f64 y) #s(literal 3 binary64)))) #s(literal 1 binary64)) (*.f64 (fma.f64 (neg.f64 (log.f64 y)) (-.f64 (neg.f64 (log.f64 y)) (/.f64 (+.f64 y x) (+.f64 y #s(literal 1/2 binary64)))) (/.f64 (*.f64 (+.f64 y x) (+.f64 y x)) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (+.f64 y #s(literal 1/2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64))))) |
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(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))))) (neg.f64 (fma.f64 y (*.f64 (*.f64 y y) (*.f64 y (*.f64 y y))) (-.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 y (*.f64 y y)))))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) (-.f64 x y)))) (neg.f64 (*.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) (-.f64 x y)))) |
(/.f64 (-.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (fma.f64 x (+.f64 y x) (*.f64 y y)) (-.f64 y x))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) (-.f64 x y))) (*.f64 (*.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) (-.f64 x y)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))))) (*.f64 (*.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) (-.f64 x y)) (*.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) (-.f64 x y)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))))))) (neg.f64 (neg.f64 (fma.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (fma.f64 x (+.f64 y x) (*.f64 y y)) (-.f64 y x))))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) (-.f64 x y))))) (neg.f64 (neg.f64 (*.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) (-.f64 x y))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (neg.f64 (*.f64 (fma.f64 x (+.f64 y x) (*.f64 y y)) (-.f64 y x)))) |
(pow.f64 (/.f64 (fma.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (fma.f64 x (+.f64 y x) (*.f64 y y)) (-.f64 y x)))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) (-.f64 x y)) (*.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) (-.f64 x y)))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 y y (*.f64 x (-.f64 x y))) (+.f64 y x)) |
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (fma.f64 x (+.f64 y x) (*.f64 y y)) (-.f64 y x)))))) |
(*.f64 (*.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) (-.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) (-.f64 x y)))) |
(*.f64 (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 y x))) (+.f64 y x)) |
(exp.f64 (*.f64 (log.f64 y) #s(literal 3 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 3/2 binary64))) |
(pow.f64 y #s(literal 3 binary64)) |
(pow.f64 (*.f64 y y) #s(literal 3/2 binary64)) |
(pow.f64 (pow.f64 y #s(literal 3/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 3 binary64)) |
(*.f64 y (*.f64 y y)) |
(*.f64 (*.f64 y y) y) |
(*.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))) |
| 1× | egg-herbie |
| 5 932× | accelerator-lowering-fma.f32 |
| 5 932× | accelerator-lowering-fma.f64 |
| 3 862× | +-lowering-+.f64 |
| 3 862× | +-lowering-+.f32 |
| 3 048× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 677 | 4518 |
| 1 | 2150 | 4186 |
| 2 | 6883 | 4058 |
| 0 | 8179 | 3882 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/2 (- (* 2 x) (log y))) |
(+ (* 1/2 (- (* 2 x) (log y))) (* y (- (+ (* 1/2 (- 2 (* 4 x))) (* 2 x)) (log y)))) |
(+ (* 1/2 (- (* 2 x) (log y))) (* y (- (+ (* 1/2 (- 2 (* 4 x))) (+ (* 2 x) (* y (- (+ 2 (* -1/2 (+ 4 (* -8 x)))) (* 4 x))))) (log y)))) |
(+ (* 1/2 (- (* 2 x) (log y))) (* y (- (+ (* 1/2 (- 2 (* 4 x))) (+ (* 2 x) (* y (- (+ 2 (+ (* -1/2 (+ 4 (* -8 x))) (* y (+ (* -1 (+ 4 (* -8 x))) (* 1/2 (- 8 (* 16 x))))))) (* 4 x))))) (log y)))) |
(* y (- 1 (* -1 (log (/ 1 y))))) |
(* y (- (+ 1 (+ (* 1/2 (/ (- 1 (* -1 (log (/ 1 y)))) y)) (/ x y))) (+ (* -1 (log (/ 1 y))) (* 1/2 (/ 1 y))))) |
(* y (- (+ 1 (+ (* 1/2 (/ (- 1 (* -1 (log (/ 1 y)))) y)) (+ (* 1/2 (/ (- x 1/2) (pow y 2))) (+ (/ 1/4 (pow y 2)) (/ x y))))) (+ (* -1 (log (/ 1 y))) (+ (* 1/2 (/ x (pow y 2))) (* 1/2 (/ 1 y)))))) |
(* y (- (+ 1 (+ (* -1 (/ (+ 1/8 (* -1/4 x)) (pow y 3))) (+ (* 1/2 (/ (- 1/4 (* 1/2 x)) (pow y 3))) (+ (* 1/2 (/ (- 1 (* -1 (log (/ 1 y)))) y)) (+ (* 1/2 (/ (- x 1/2) (pow y 2))) (+ (/ 1/4 (pow y 2)) (/ x y))))))) (+ (* -1 (log (/ 1 y))) (+ (* 1/2 (/ x (pow y 2))) (* 1/2 (/ 1 y)))))) |
(* y (- 1 (+ (log -1) (* -1 (log (/ -1 y)))))) |
(* -1 (* y (+ (* -1 (- 1 (+ (log -1) (* -1 (log (/ -1 y)))))) (* -1 (/ (- (+ x (* 1/2 (- 1 (+ (log -1) (* -1 (log (/ -1 y))))))) 1/2) y))))) |
(* -1 (* y (+ (* -1 (- 1 (+ (log -1) (* -1 (log (/ -1 y)))))) (* -1 (/ (- (+ x (+ (* -1 (/ (+ (* -1/2 (- x 1/2)) (* 1/2 (- x 1/2))) y)) (* 1/2 (- 1 (+ (log -1) (* -1 (log (/ -1 y)))))))) 1/2) y))))) |
(* -1 (* y (+ (* -1 (- 1 (+ (log -1) (* -1 (log (/ -1 y)))))) (* -1 (/ (- (+ x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (- x 1/2)) (* 1/4 (- x 1/2))) y)) (+ (* -1/2 (- x 1/2)) (* 1/2 (- x 1/2)))) y)) (* 1/2 (- 1 (+ (log -1) (* -1 (log (/ -1 y)))))))) 1/2) y))))) |
(* (+ 1/2 y) (- (/ y (+ 1/2 y)) (log y))) |
(+ x (* (+ 1/2 y) (- (/ y (+ 1/2 y)) (log y)))) |
(+ x (* (+ 1/2 y) (- (/ y (+ 1/2 y)) (log y)))) |
(+ x (* (+ 1/2 y) (- (/ y (+ 1/2 y)) (log y)))) |
x |
(* x (+ 1 (/ (* (+ 1/2 y) (- (/ y (+ 1/2 y)) (log y))) x))) |
(* x (+ 1 (/ (* (+ 1/2 y) (- (/ y (+ 1/2 y)) (log y))) x))) |
(* x (+ 1 (/ (* (+ 1/2 y) (- (/ y (+ 1/2 y)) (log y))) x))) |
x |
(* -1 (* x (- (* -1 (/ (* (+ 1/2 y) (- (/ y (+ 1/2 y)) (log y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (* (+ 1/2 y) (- (/ y (+ 1/2 y)) (log y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (* (+ 1/2 y) (- (/ y (+ 1/2 y)) (log y))) x)) 1))) |
(- (* 2 x) (log y)) |
(- (+ (* 2 x) (* y (- 2 (* 4 x)))) (log y)) |
(- (+ (* 2 x) (* y (- (+ 2 (* -1 (* y (+ 4 (* -8 x))))) (* 4 x)))) (log y)) |
(- (+ (* 2 x) (* y (- (+ 2 (* y (- (* y (- 8 (* 16 x))) (+ 4 (* -8 x))))) (* 4 x)))) (log y)) |
(- 1 (* -1 (log (/ 1 y)))) |
(- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (* 1/2 (/ 1 y)))) |
(- (+ 1 (+ (/ 1/4 (pow y 2)) (/ x y))) (+ (* -1 (log (/ 1 y))) (+ (* 1/2 (/ x (pow y 2))) (* 1/2 (/ 1 y))))) |
(- (+ 1 (+ (* -1 (/ (+ 1/8 (* -1/4 x)) (pow y 3))) (+ (/ 1/4 (pow y 2)) (/ x y)))) (+ (* -1 (log (/ 1 y))) (+ (* 1/2 (/ x (pow y 2))) (* 1/2 (/ 1 y))))) |
(- 1 (+ (log -1) (* -1 (log (/ -1 y))))) |
(- (+ 1 (/ x y)) (+ (log -1) (+ (* -1 (log (/ -1 y))) (* 1/2 (/ 1 y))))) |
(- (+ 1 (* -1 (/ (+ (* -1 (- x 1/2)) (* 1/2 (/ (- x 1/2) y))) y))) (+ (log -1) (* -1 (log (/ -1 y))))) |
(- (+ 1 (* -1 (/ (+ (* -1 (- x 1/2)) (* -1 (/ (+ (* -1/2 (- x 1/2)) (* 1/4 (/ (- x 1/2) y))) y))) y))) (+ (log -1) (* -1 (log (/ -1 y))))) |
(- (/ y (+ 1/2 y)) (log y)) |
(- (+ (/ x (+ 1/2 y)) (/ y (+ 1/2 y))) (log y)) |
(- (+ (/ x (+ 1/2 y)) (/ y (+ 1/2 y))) (log y)) |
(- (+ (/ x (+ 1/2 y)) (/ y (+ 1/2 y))) (log y)) |
(/ x (+ 1/2 y)) |
(* x (- (+ (/ 1 (+ 1/2 y)) (/ y (* x (+ 1/2 y)))) (/ (log y) x))) |
(* x (- (+ (/ 1 (+ 1/2 y)) (/ y (* x (+ 1/2 y)))) (/ (log y) x))) |
(* x (- (+ (/ 1 (+ 1/2 y)) (/ y (* x (+ 1/2 y)))) (/ (log y) x))) |
(/ x (+ 1/2 y)) |
(* -1 (* x (- (* -1 (/ (- (/ y (+ 1/2 y)) (log y)) x)) (/ 1 (+ 1/2 y))))) |
(* -1 (* x (- (* -1 (/ (- (/ y (+ 1/2 y)) (log y)) x)) (/ 1 (+ 1/2 y))))) |
(* -1 (* x (- (* -1 (/ (- (/ y (+ 1/2 y)) (log y)) x)) (/ 1 (+ 1/2 y))))) |
(- (* 1/2 (- (* 2 x) (log y))) z) |
(- (+ (* 1/2 (- (* 2 x) (log y))) (* y (- (+ (* 1/2 (- 2 (* 4 x))) (* 2 x)) (log y)))) z) |
(- (+ (* 1/2 (- (* 2 x) (log y))) (* y (- (+ (* 1/2 (- 2 (* 4 x))) (+ (* 2 x) (* y (- (+ 2 (* -1/2 (+ 4 (* -8 x)))) (* 4 x))))) (log y)))) z) |
(- (+ (* 1/2 (- (* 2 x) (log y))) (* y (- (+ (* 1/2 (- 2 (* 4 x))) (+ (* 2 x) (* y (- (+ 2 (+ (* -1/2 (+ 4 (* -8 x))) (* y (+ (* -1 (+ 4 (* -8 x))) (* 1/2 (- 8 (* 16 x))))))) (* 4 x))))) (log y)))) z) |
(* y (- 1 (* -1 (log (/ 1 y))))) |
(* y (- (+ 1 (+ (* 1/2 (/ (- 1 (* -1 (log (/ 1 y)))) y)) (/ x y))) (+ (* -1 (log (/ 1 y))) (+ (* 1/2 (/ 1 y)) (/ z y))))) |
(* y (- (+ 1 (+ (* 1/2 (/ (- 1 (* -1 (log (/ 1 y)))) y)) (+ (* 1/2 (/ (- x 1/2) (pow y 2))) (+ (/ 1/4 (pow y 2)) (/ x y))))) (+ (* -1 (log (/ 1 y))) (+ (* 1/2 (/ x (pow y 2))) (+ (* 1/2 (/ 1 y)) (/ z y)))))) |
(* y (- (+ 1 (+ (* -1 (/ (+ 1/8 (* -1/4 x)) (pow y 3))) (+ (* 1/2 (/ (- 1/4 (* 1/2 x)) (pow y 3))) (+ (* 1/2 (/ (- 1 (* -1 (log (/ 1 y)))) y)) (+ (* 1/2 (/ (- x 1/2) (pow y 2))) (+ (/ 1/4 (pow y 2)) (/ x y))))))) (+ (* -1 (log (/ 1 y))) (+ (* 1/2 (/ x (pow y 2))) (+ (* 1/2 (/ 1 y)) (/ z y)))))) |
(* y (- 1 (+ (log -1) (* -1 (log (/ -1 y)))))) |
(* -1 (* y (+ (* -1 (- 1 (+ (log -1) (* -1 (log (/ -1 y)))))) (* -1 (/ (- (+ x (* 1/2 (- 1 (+ (log -1) (* -1 (log (/ -1 y))))))) (+ 1/2 z)) y))))) |
(* -1 (* y (+ (* -1 (- 1 (+ (log -1) (* -1 (log (/ -1 y)))))) (* -1 (/ (- (+ x (+ (* -1 (/ (+ (* -1/2 (- x 1/2)) (* 1/2 (- x 1/2))) y)) (* 1/2 (- 1 (+ (log -1) (* -1 (log (/ -1 y)))))))) (+ 1/2 z)) y))))) |
(* -1 (* y (+ (* -1 (- 1 (+ (log -1) (* -1 (log (/ -1 y)))))) (* -1 (/ (- (+ x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (- x 1/2)) (* 1/4 (- x 1/2))) y)) (+ (* -1/2 (- x 1/2)) (* 1/2 (- x 1/2)))) y)) (* 1/2 (- 1 (+ (log -1) (* -1 (log (/ -1 y)))))))) (+ 1/2 z)) y))))) |
(- (* (+ 1/2 y) (- (/ y (+ 1/2 y)) (log y))) z) |
(- (+ x (* (+ 1/2 y) (- (/ y (+ 1/2 y)) (log y)))) z) |
(- (+ x (* (+ 1/2 y) (- (/ y (+ 1/2 y)) (log y)))) z) |
(- (+ x (* (+ 1/2 y) (- (/ y (+ 1/2 y)) (log y)))) z) |
x |
(* x (- (+ 1 (/ (* (+ 1/2 y) (- (/ y (+ 1/2 y)) (log y))) x)) (/ z x))) |
(* x (- (+ 1 (/ (* (+ 1/2 y) (- (/ y (+ 1/2 y)) (log y))) x)) (/ z x))) |
(* x (- (+ 1 (/ (* (+ 1/2 y) (- (/ y (+ 1/2 y)) (log y))) x)) (/ z x))) |
x |
(* -1 (* x (- (* -1 (/ (- (* (+ 1/2 y) (- (/ y (+ 1/2 y)) (log y))) z) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (* (+ 1/2 y) (- (/ y (+ 1/2 y)) (log y))) z) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (* (+ 1/2 y) (- (/ y (+ 1/2 y)) (log y))) z) x)) 1))) |
(* (+ 1/2 y) (- (+ (/ x (+ 1/2 y)) (/ y (+ 1/2 y))) (log y))) |
(+ (* -1 z) (* (+ 1/2 y) (- (+ (/ x (+ 1/2 y)) (/ y (+ 1/2 y))) (log y)))) |
(+ (* -1 z) (* (+ 1/2 y) (- (+ (/ x (+ 1/2 y)) (/ y (+ 1/2 y))) (log y)))) |
(+ (* -1 z) (* (+ 1/2 y) (- (+ (/ x (+ 1/2 y)) (/ y (+ 1/2 y))) (log y)))) |
(* -1 z) |
(* z (- (/ (* (+ 1/2 y) (- (+ (/ x (+ 1/2 y)) (/ y (+ 1/2 y))) (log y))) z) 1)) |
(* z (- (/ (* (+ 1/2 y) (- (+ (/ x (+ 1/2 y)) (/ y (+ 1/2 y))) (log y))) z) 1)) |
(* z (- (/ (* (+ 1/2 y) (- (+ (/ x (+ 1/2 y)) (/ y (+ 1/2 y))) (log y))) z) 1)) |
(* -1 z) |
(* -1 (* z (+ 1 (* -1 (/ (* (+ 1/2 y) (- (+ (/ x (+ 1/2 y)) (/ y (+ 1/2 y))) (log y))) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (* (+ 1/2 y) (- (+ (/ x (+ 1/2 y)) (/ y (+ 1/2 y))) (log y))) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (* (+ 1/2 y) (- (+ (/ x (+ 1/2 y)) (/ y (+ 1/2 y))) (log y))) z))))) |
(* -1 x) |
(- (* -1 y) x) |
(- (* -1 y) x) |
(- (* -1 y) x) |
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(* -1 y) |
(* -1 (* y (+ 1 (/ x y)))) |
(* -1 (* y (+ 1 (/ x y)))) |
(* -1 (* y (+ 1 (/ x y)))) |
(* -1 y) |
(- (* -1 x) y) |
(- (* -1 x) y) |
(- (* -1 x) y) |
(* -1 x) |
(* x (- (* -1 (/ y x)) 1)) |
(* x (- (* -1 (/ y x)) 1)) |
(* x (- (* -1 (/ y x)) 1)) |
(* -1 x) |
(* -1 (* x (+ 1 (/ y x)))) |
(* -1 (* x (+ 1 (/ y x)))) |
(* -1 (* x (+ 1 (/ y x)))) |
x |
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y |
(* y (+ 1 (/ x y))) |
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(* y (+ 1 (/ x y))) |
y |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
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(* -1 (* y (- (* -1 (/ x y)) 1))) |
y |
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x |
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x |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (pow x 2)) |
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(+ (* -1 (pow x 2)) (* y (+ x (+ y (* -1 x))))) |
(+ (* -1 (pow x 2)) (* y (+ x (+ y (* -1 x))))) |
(pow y 2) |
(* (pow y 2) (+ 1 (+ (* -1 (/ x y)) (/ x y)))) |
(* (pow y 2) (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ (pow x 2) (pow y 2))) (/ x y))))) |
(* (pow y 2) (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ (pow x 2) (pow y 2))) (/ x y))))) |
(pow y 2) |
(* (pow y 2) (+ 1 (+ (* -1 (/ x y)) (/ x y)))) |
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -1 (+ x (* -1 x))) (/ (pow x 2) y)) y)))) |
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -1 (+ x (* -1 x))) (/ (pow x 2) y)) y)))) |
(pow y 2) |
(+ (* x (+ y (* -1 y))) (pow y 2)) |
(+ (* x (+ y (+ (* -1 x) (* -1 y)))) (pow y 2)) |
(+ (* x (+ y (+ (* -1 x) (* -1 y)))) (pow y 2)) |
(* -1 (pow x 2)) |
(* (pow x 2) (- (+ (* -1 (/ y x)) (/ y x)) 1)) |
(* (pow x 2) (- (+ (* -1 (/ y x)) (+ (/ y x) (/ (pow y 2) (pow x 2)))) 1)) |
(* (pow x 2) (- (+ (* -1 (/ y x)) (+ (/ y x) (/ (pow y 2) (pow x 2)))) 1)) |
(* -1 (pow x 2)) |
(* (pow x 2) (- (* -1 (/ (+ y (* -1 y)) x)) 1)) |
(* (pow x 2) (- (* -1 (/ (+ y (+ (* -1 y) (* -1 (/ (pow y 2) x)))) x)) 1)) |
(* (pow x 2) (- (* -1 (/ (+ y (+ (* -1 y) (* -1 (/ (pow y 2) x)))) x)) 1)) |
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y |
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x |
(* x (+ 1 (/ y x))) |
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(* x (+ 1 (/ y x))) |
x |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 x) |
(- y x) |
(- y x) |
(- y x) |
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(* y (+ 1 (* -1 (/ x y)))) |
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y |
(* -1 (* y (- (/ x y) 1))) |
(* -1 (* y (- (/ x y) 1))) |
(* -1 (* y (- (/ x y) 1))) |
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(* -1 x) |
(* x (- (/ y x) 1)) |
(* x (- (/ y x) 1)) |
(* x (- (/ y x) 1)) |
(* -1 x) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
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(* x (- (+ 1 (* -1 (/ (* y (+ (* -1 (pow y 2)) (pow y 2))) (pow x 3)))) (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))) |
x |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (pow y 2) x)) (/ (pow y 2) x)) (* -1 y)) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* y (+ (* -1 (pow y 2)) (pow y 2))) x)) (+ (* -1 (pow y 2)) (pow y 2))) x)) (* -1 y)) x)) 1))) |
x |
(+ x y) |
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(+ x y) |
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(* y (+ 1 (/ x y))) |
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(* y (- (+ 1 (* -1 (/ (* x (+ (* -1 (pow x 2)) (pow x 2))) (pow y 3)))) (+ (* -1 (/ x y)) (+ (* -1 (/ (pow x 2) (pow y 2))) (/ (pow x 2) (pow y 2)))))) |
y |
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(* -1 (* y (- (* -1 (/ (- (+ (* -1 (/ (pow x 2) y)) (/ (pow x 2) y)) (* -1 x)) y)) 1))) |
(* -1 (* y (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* x (+ (* -1 (pow x 2)) (pow x 2))) y)) (+ (* -1 (pow x 2)) (pow x 2))) y)) (* -1 x)) y)) 1))) |
(/ 1 y) |
(+ (* -1 (/ x (pow y 2))) (/ 1 y)) |
(+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)) |
(+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)) |
(/ 1 x) |
(/ (+ 1 (* -1 (/ y x))) x) |
(/ (+ 1 (+ (* -1 (/ y x)) (/ (pow y 2) (pow x 2)))) x) |
(/ (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 3) (pow x 3))) (/ (pow y 2) (pow x 2))))) x) |
(/ 1 x) |
(* -1 (/ (- (/ y x) 1) x)) |
(* -1 (/ (- (* -1 (/ (+ (* -1 y) (/ (pow y 2) x)) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1 (pow y 2)) (/ (pow y 3) x)) x))) x)) 1) x)) |
(/ 1 x) |
(+ (* -1 (/ y (pow x 2))) (/ 1 x)) |
(+ (* y (- (/ y (pow x 3)) (/ 1 (pow x 2)))) (/ 1 x)) |
(+ (* y (- (* y (+ (* -1 (/ y (pow x 4))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x)) |
(/ 1 y) |
(/ (+ 1 (* -1 (/ x y))) y) |
(/ (+ 1 (+ (* -1 (/ x y)) (/ (pow x 2) (pow y 2)))) y) |
(/ (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ (pow x 3) (pow y 3))) (/ (pow x 2) (pow y 2))))) y) |
(/ 1 y) |
(* -1 (/ (- (/ x y) 1) y)) |
(* -1 (/ (- (* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y)) 1) y)) |
(* -1 (/ (- (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (pow x 2)) (/ (pow x 3) y)) y))) y)) 1) y)) |
(pow y 2) |
(+ (* -1 (* x y)) (pow y 2)) |
(+ (* x (+ x (* -1 y))) (pow y 2)) |
(+ (* x (+ x (* -1 y))) (pow y 2)) |
(pow x 2) |
(* (pow x 2) (+ 1 (* -1 (/ y x)))) |
(* (pow x 2) (- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x))) |
(* (pow x 2) (- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x))) |
(pow x 2) |
(* (pow x 2) (+ 1 (* -1 (/ y x)))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ y (* -1 (/ (pow y 2) x))) x)))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ y (* -1 (/ (pow y 2) x))) x)))) |
(pow x 2) |
(+ (* -1 (* x y)) (pow x 2)) |
(+ (* y (+ y (* -1 x))) (pow x 2)) |
(+ (* y (+ y (* -1 x))) (pow x 2)) |
(pow y 2) |
(* (pow y 2) (+ 1 (* -1 (/ x y)))) |
(* (pow y 2) (+ 1 (+ (* -1 (/ x y)) (/ (pow x 2) (pow y 2))))) |
(* (pow y 2) (+ 1 (+ (* -1 (/ x y)) (/ (pow x 2) (pow y 2))))) |
(pow y 2) |
(* (pow y 2) (+ 1 (* -1 (/ x y)))) |
(* (pow y 2) (+ 1 (* -1 (/ (+ x (* -1 (/ (pow x 2) y))) y)))) |
(* (pow y 2) (+ 1 (* -1 (/ (+ x (* -1 (/ (pow x 2) y))) y)))) |
(* -1 y) |
(- x y) |
(- x y) |
(- x y) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
(* x (+ 1 (* -1 (/ y x)))) |
(* x (+ 1 (* -1 (/ y x)))) |
x |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (- (/ y x) 1))) |
x |
(+ x (* -1 y)) |
(+ x (* -1 y)) |
(+ x (* -1 y)) |
(* -1 y) |
(* y (- (/ x y) 1)) |
(* y (- (/ x y) 1)) |
(* y (- (/ x y) 1)) |
(* -1 y) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(+ x (* -1/2 (log y))) |
(+ x (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y)))))) |
(+ x (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y)))))) |
(+ x (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y)))))) |
(* y (+ 1 (log (/ 1 y)))) |
(* y (+ 1 (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y))))) |
(* y (+ 1 (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y))))) |
(* y (+ 1 (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y))))) |
(* -1 (* y (- (+ (log -1) (* -1 (log (/ -1 y)))) 1))) |
(* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)))) 1))) |
(* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)))) 1))) |
(* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)))) 1))) |
(+ y (* -1 (* (log y) (+ 1/2 y)))) |
(+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) |
(+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) |
(+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) |
x |
(* x (+ 1 (+ (* -1 (/ (* (log y) (+ 1/2 y)) x)) (/ y x)))) |
(* x (+ 1 (+ (* -1 (/ (* (log y) (+ 1/2 y)) x)) (/ y x)))) |
(* x (+ 1 (+ (* -1 (/ (* (log y) (+ 1/2 y)) x)) (/ y x)))) |
x |
(* -1 (* x (- (* -1 (/ (+ y (* -1 (* (log y) (+ 1/2 y)))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ y (* -1 (* (log y) (+ 1/2 y)))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ y (* -1 (* (log y) (+ 1/2 y)))) x)) 1))) |
(* -1/2 (log y)) |
(+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y))))) |
(+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y))))) |
(+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y))))) |
(* y (+ 1 (log (/ 1 y)))) |
(* y (+ 1 (+ (log (/ 1 y)) (* 1/2 (/ (log (/ 1 y)) y))))) |
(* y (+ 1 (+ (log (/ 1 y)) (* 1/2 (/ (log (/ 1 y)) y))))) |
(* y (+ 1 (+ (log (/ 1 y)) (* 1/2 (/ (log (/ 1 y)) y))))) |
(* -1 (* y (- (+ (log -1) (* -1 (log (/ -1 y)))) 1))) |
(* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y)))) 1))) |
(* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y)))) 1))) |
(* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y)))) 1))) |
(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 |
(- (* -1 y) 1/2) |
(- (* -1 y) 1/2) |
(- (* -1 y) 1/2) |
(* -1 y) |
(* -1 (* y (+ 1 (* 1/2 (/ 1 y))))) |
(* -1 (* y (+ 1 (* 1/2 (/ 1 y))))) |
(* -1 (* y (+ 1 (* 1/2 (/ 1 y))))) |
(* -1 y) |
(* -1 (* y (+ 1 (* 1/2 (/ 1 y))))) |
(* -1 (* y (+ 1 (* 1/2 (/ 1 y))))) |
(* -1 (* y (+ 1 (* 1/2 (/ 1 y))))) |
-2 |
(- (* 4 y) 2) |
(- (* y (+ 4 (* -8 y))) 2) |
(- (* y (+ 4 (* y (- (* 16 y) 8)))) 2) |
(/ -1 y) |
(/ (- (* 1/2 (/ 1 y)) 1) y) |
(/ (- (* 1/2 (/ 1 y)) (+ 1 (/ 1/4 (pow y 2)))) y) |
(/ (- (+ (* 1/2 (/ 1 y)) (* 1/8 (/ 1 (pow y 3)))) (+ 1 (/ 1/4 (pow y 2)))) y) |
(/ -1 y) |
(* -1 (/ (- 1 (* 1/2 (/ 1 y))) y)) |
(* -1 (/ (+ 1 (* -1 (/ (- 1/2 (* 1/4 (/ 1 y))) y))) y)) |
(* -1 (/ (+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/4 (* 1/8 (/ 1 y))) y))) y))) y)) |
2 |
(+ 2 (* -4 y)) |
(+ 2 (* y (- (* 8 y) 4))) |
(+ 2 (* y (- (* y (+ 8 (* -16 y))) 4))) |
(/ 1 y) |
(/ (- 1 (* 1/2 (/ 1 y))) y) |
(/ (- (+ 1 (/ 1/4 (pow y 2))) (* 1/2 (/ 1 y))) y) |
(/ (- (+ 1 (/ 1/4 (pow y 2))) (+ (* 1/2 (/ 1 y)) (* 1/8 (/ 1 (pow y 3))))) y) |
(/ 1 y) |
(* -1 (/ (- (* 1/2 (/ 1 y)) 1) y)) |
(* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 y)) 1/2) y)) 1) y)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 y)) 1/4) y)) 1/2) y)) 1) y)) |
(pow y 3) |
(+ (pow x 3) (pow y 3)) |
(+ (pow x 3) (pow y 3)) |
(+ (pow x 3) (pow y 3)) |
(pow x 3) |
(* (pow x 3) (+ 1 (/ (pow y 3) (pow x 3)))) |
(* (pow x 3) (+ 1 (/ (pow y 3) (pow x 3)))) |
(* (pow x 3) (+ 1 (/ (pow y 3) (pow x 3)))) |
(pow x 3) |
(* -1 (* (pow x 3) (- (* -1 (/ (pow y 3) (pow x 3))) 1))) |
(* -1 (* (pow x 3) (- (* -1 (/ (pow y 3) (pow x 3))) 1))) |
(* -1 (* (pow x 3) (- (* -1 (/ (pow y 3) (pow x 3))) 1))) |
(pow x 3) |
(+ (pow x 3) (pow y 3)) |
(+ (pow x 3) (pow y 3)) |
(+ (pow x 3) (pow y 3)) |
(pow y 3) |
(* (pow y 3) (+ 1 (/ (pow x 3) (pow y 3)))) |
(* (pow y 3) (+ 1 (/ (pow x 3) (pow y 3)))) |
(* (pow y 3) (+ 1 (/ (pow x 3) (pow y 3)))) |
(pow y 3) |
(* -1 (* (pow y 3) (- (* -1 (/ (pow x 3) (pow y 3))) 1))) |
(* -1 (* (pow y 3) (- (* -1 (/ (pow x 3) (pow y 3))) 1))) |
(* -1 (* (pow y 3) (- (* -1 (/ (pow x 3) (pow y 3))) 1))) |
(pow y 3) |
(pow y 3) |
(pow y 3) |
(pow y 3) |
(pow y 3) |
(pow y 3) |
(pow y 3) |
(pow y 3) |
(pow y 3) |
(pow y 3) |
(pow y 3) |
(pow y 3) |
| Outputs |
|---|
(* 1/2 (- (* 2 x) (log y))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (log.f64 y))) |
(+ (* 1/2 (- (* 2 x) (log y))) (* y (- (+ (* 1/2 (- 2 (* 4 x))) (* 2 x)) (log y)))) |
(fma.f64 y (fma.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal -4 binary64) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) x) (log.f64 y))) (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (log.f64 y)))) |
(+ (* 1/2 (- (* 2 x) (log y))) (* y (- (+ (* 1/2 (- 2 (* 4 x))) (+ (* 2 x) (* y (- (+ 2 (* -1/2 (+ 4 (* -8 x)))) (* 4 x))))) (log y)))) |
(fma.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (log.f64 y)) (*.f64 y (-.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal -4 binary64) #s(literal 2 binary64)) (fma.f64 y (fma.f64 x #s(literal 4 binary64) (*.f64 x #s(literal -4 binary64))) (*.f64 #s(literal 2 binary64) x))) (log.f64 y)))) |
(+ (* 1/2 (- (* 2 x) (log y))) (* y (- (+ (* 1/2 (- 2 (* 4 x))) (+ (* 2 x) (* y (- (+ 2 (+ (* -1/2 (+ 4 (* -8 x))) (* y (+ (* -1 (+ 4 (* -8 x))) (* 1/2 (- 8 (* 16 x))))))) (* 4 x))))) (log y)))) |
(fma.f64 y (-.f64 (fma.f64 y (fma.f64 x #s(literal 4 binary64) (fma.f64 y (fma.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal -16 binary64) #s(literal 8 binary64)) (fma.f64 x #s(literal 8 binary64) #s(literal -4 binary64))) (*.f64 x #s(literal -4 binary64)))) (fma.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal -4 binary64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x))) (log.f64 y)) (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (log.f64 y)))) |
(* y (- 1 (* -1 (log (/ 1 y))))) |
(fma.f64 (log.f64 y) (neg.f64 y) y) |
(* y (- (+ 1 (+ (* 1/2 (/ (- 1 (* -1 (log (/ 1 y)))) y)) (/ x y))) (+ (* -1 (log (/ 1 y))) (* 1/2 (/ 1 y))))) |
(+.f64 y (*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y) (-.f64 (/.f64 (+.f64 x #s(literal -1/2 binary64)) y) (log.f64 y))))) |
(* y (- (+ 1 (+ (* 1/2 (/ (- 1 (* -1 (log (/ 1 y)))) y)) (+ (* 1/2 (/ (- x 1/2) (pow y 2))) (+ (/ 1/4 (pow y 2)) (/ x y))))) (+ (* -1 (log (/ 1 y))) (+ (* 1/2 (/ x (pow y 2))) (* 1/2 (/ 1 y)))))) |
(*.f64 y (+.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y) (/.f64 (+.f64 x #s(literal -1/2 binary64)) (*.f64 y y))) (/.f64 x y)) (/.f64 #s(literal 1/4 binary64) (*.f64 y y))) (-.f64 #s(literal 1 binary64) (+.f64 (log.f64 y) (fma.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) y)))))) |
(* y (- (+ 1 (+ (* -1 (/ (+ 1/8 (* -1/4 x)) (pow y 3))) (+ (* 1/2 (/ (- 1/4 (* 1/2 x)) (pow y 3))) (+ (* 1/2 (/ (- 1 (* -1 (log (/ 1 y)))) y)) (+ (* 1/2 (/ (- x 1/2) (pow y 2))) (+ (/ 1/4 (pow y 2)) (/ x y))))))) (+ (* -1 (log (/ 1 y))) (+ (* 1/2 (/ x (pow y 2))) (* 1/2 (/ 1 y)))))) |
(*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/8 binary64)) (*.f64 y (*.f64 y y)))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/4 binary64)) (*.f64 y (*.f64 y y))) (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) (+.f64 (/.f64 x y) (+.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1/4 binary64)) (*.f64 y y)) (/.f64 #s(literal 1/4 binary64) (*.f64 y y))))) (+.f64 (log.f64 y) (fma.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) y)))))) |
(* y (- 1 (+ (log -1) (* -1 (log (/ -1 y)))))) |
(fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (neg.f64 y) y) |
(* -1 (* y (+ (* -1 (- 1 (+ (log -1) (* -1 (log (/ -1 y)))))) (* -1 (/ (- (+ x (* 1/2 (- 1 (+ (log -1) (* -1 (log (/ -1 y))))))) 1/2) y))))) |
(*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (log.f64 #s(literal -1 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) y))) (+.f64 x #s(literal -1/2 binary64))) y)))) |
(* -1 (* y (+ (* -1 (- 1 (+ (log -1) (* -1 (log (/ -1 y)))))) (* -1 (/ (- (+ x (+ (* -1 (/ (+ (* -1/2 (- x 1/2)) (* 1/2 (- x 1/2))) y)) (* 1/2 (- 1 (+ (log -1) (* -1 (log (/ -1 y)))))))) 1/2) y))))) |
(*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (log.f64 #s(literal -1 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) y))) (+.f64 x #s(literal -1/2 binary64))) y)))) |
(* -1 (* y (+ (* -1 (- 1 (+ (log -1) (* -1 (log (/ -1 y)))))) (* -1 (/ (- (+ x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (- x 1/2)) (* 1/4 (- x 1/2))) y)) (+ (* -1/2 (- x 1/2)) (* 1/2 (- x 1/2)))) y)) (* 1/2 (- 1 (+ (log -1) (* -1 (log (/ -1 y)))))))) 1/2) y))))) |
(*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (log.f64 #s(literal -1 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) y))) (+.f64 x #s(literal -1/2 binary64))) y)))) |
(* (+ 1/2 y) (- (/ y (+ 1/2 y)) (log y))) |
(*.f64 (+.f64 #s(literal 1/2 binary64) y) (-.f64 (/.f64 y (+.f64 #s(literal 1/2 binary64) y)) (log.f64 y))) |
(+ x (* (+ 1/2 y) (- (/ y (+ 1/2 y)) (log y)))) |
(fma.f64 (+.f64 #s(literal 1/2 binary64) y) (-.f64 (/.f64 y (+.f64 #s(literal 1/2 binary64) y)) (log.f64 y)) x) |
(+ x (* (+ 1/2 y) (- (/ y (+ 1/2 y)) (log y)))) |
(fma.f64 (+.f64 #s(literal 1/2 binary64) y) (-.f64 (/.f64 y (+.f64 #s(literal 1/2 binary64) y)) (log.f64 y)) x) |
(+ x (* (+ 1/2 y) (- (/ y (+ 1/2 y)) (log y)))) |
(fma.f64 (+.f64 #s(literal 1/2 binary64) y) (-.f64 (/.f64 y (+.f64 #s(literal 1/2 binary64) y)) (log.f64 y)) x) |
x |
(* x (+ 1 (/ (* (+ 1/2 y) (- (/ y (+ 1/2 y)) (log y))) x))) |
(fma.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) y)) (/.f64 (-.f64 (/.f64 y (+.f64 #s(literal 1/2 binary64) y)) (log.f64 y)) x) x) |
(* x (+ 1 (/ (* (+ 1/2 y) (- (/ y (+ 1/2 y)) (log y))) x))) |
(fma.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) y)) (/.f64 (-.f64 (/.f64 y (+.f64 #s(literal 1/2 binary64) y)) (log.f64 y)) x) x) |
(* x (+ 1 (/ (* (+ 1/2 y) (- (/ y (+ 1/2 y)) (log y))) x))) |
(fma.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) y)) (/.f64 (-.f64 (/.f64 y (+.f64 #s(literal 1/2 binary64) y)) (log.f64 y)) x) x) |
x |
(* -1 (* x (- (* -1 (/ (* (+ 1/2 y) (- (/ y (+ 1/2 y)) (log y))) x)) 1))) |
(*.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (/.f64 (-.f64 (/.f64 y (+.f64 #s(literal 1/2 binary64) y)) (log.f64 y)) (neg.f64 x)) #s(literal -1 binary64)) (neg.f64 x)) |
(* -1 (* x (- (* -1 (/ (* (+ 1/2 y) (- (/ y (+ 1/2 y)) (log y))) x)) 1))) |
(*.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (/.f64 (-.f64 (/.f64 y (+.f64 #s(literal 1/2 binary64) y)) (log.f64 y)) (neg.f64 x)) #s(literal -1 binary64)) (neg.f64 x)) |
(* -1 (* x (- (* -1 (/ (* (+ 1/2 y) (- (/ y (+ 1/2 y)) (log y))) x)) 1))) |
(*.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (/.f64 (-.f64 (/.f64 y (+.f64 #s(literal 1/2 binary64) y)) (log.f64 y)) (neg.f64 x)) #s(literal -1 binary64)) (neg.f64 x)) |
(- (* 2 x) (log y)) |
(-.f64 (*.f64 #s(literal 2 binary64) x) (log.f64 y)) |
(- (+ (* 2 x) (* y (- 2 (* 4 x)))) (log y)) |
(-.f64 (fma.f64 y (fma.f64 x #s(literal -4 binary64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (log.f64 y)) |
(- (+ (* 2 x) (* y (- (+ 2 (* -1 (* y (+ 4 (* -8 x))))) (* 4 x)))) (log y)) |
(-.f64 (fma.f64 y (fma.f64 y (fma.f64 x #s(literal 8 binary64) #s(literal -4 binary64)) (fma.f64 x #s(literal -4 binary64) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) x)) (log.f64 y)) |
(- (+ (* 2 x) (* y (- (+ 2 (* y (- (* y (- 8 (* 16 x))) (+ 4 (* -8 x))))) (* 4 x)))) (log y)) |
(-.f64 (fma.f64 y (fma.f64 y (fma.f64 y (fma.f64 x #s(literal -16 binary64) #s(literal 8 binary64)) (fma.f64 x #s(literal 8 binary64) #s(literal -4 binary64))) (fma.f64 x #s(literal -4 binary64) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) x)) (log.f64 y)) |
(- 1 (* -1 (log (/ 1 y)))) |
(-.f64 #s(literal 1 binary64) (log.f64 y)) |
(- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (* 1/2 (/ 1 y)))) |
(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (+.f64 x #s(literal -1/2 binary64)) y) (log.f64 y))) |
(- (+ 1 (+ (/ 1/4 (pow y 2)) (/ x y))) (+ (* -1 (log (/ 1 y))) (+ (* 1/2 (/ x (pow y 2))) (* 1/2 (/ 1 y))))) |
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (/.f64 x y) (/.f64 #s(literal 1/4 binary64) (*.f64 y y))) (+.f64 (log.f64 y) (fma.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) y))))) |
(- (+ 1 (+ (* -1 (/ (+ 1/8 (* -1/4 x)) (pow y 3))) (+ (/ 1/4 (pow y 2)) (/ x y)))) (+ (* -1 (log (/ 1 y))) (+ (* 1/2 (/ x (pow y 2))) (* 1/2 (/ 1 y))))) |
(+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/8 binary64)) (*.f64 y (*.f64 y y)))) (-.f64 (+.f64 (/.f64 x y) (/.f64 #s(literal 1/4 binary64) (*.f64 y y))) (+.f64 (log.f64 y) (fma.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) y))))) |
(- 1 (+ (log -1) (* -1 (log (/ -1 y))))) |
(+.f64 (-.f64 #s(literal 1 binary64) (log.f64 #s(literal -1 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) y))) |
(- (+ 1 (/ x y)) (+ (log -1) (+ (* -1 (log (/ -1 y))) (* 1/2 (/ 1 y))))) |
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x |
(* -1 (* x (- (* -1 (/ (+ y (* -1 (* (log y) (+ 1/2 y)))) x)) 1))) |
(fma.f64 (neg.f64 x) (neg.f64 (/.f64 (fma.f64 (neg.f64 (log.f64 y)) (+.f64 #s(literal 1/2 binary64) y) y) x)) x) |
(* -1 (* x (- (* -1 (/ (+ y (* -1 (* (log y) (+ 1/2 y)))) x)) 1))) |
(fma.f64 (neg.f64 x) (neg.f64 (/.f64 (fma.f64 (neg.f64 (log.f64 y)) (+.f64 #s(literal 1/2 binary64) y) y) x)) x) |
(* -1 (* x (- (* -1 (/ (+ y (* -1 (* (log y) (+ 1/2 y)))) x)) 1))) |
(fma.f64 (neg.f64 x) (neg.f64 (/.f64 (fma.f64 (neg.f64 (log.f64 y)) (+.f64 #s(literal 1/2 binary64) y) y) x)) x) |
(* -1/2 (log y)) |
(*.f64 (log.f64 y) #s(literal -1/2 binary64)) |
(+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y))))) |
(fma.f64 (neg.f64 (log.f64 y)) (+.f64 #s(literal 1/2 binary64) y) y) |
(+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y))))) |
(fma.f64 (neg.f64 (log.f64 y)) (+.f64 #s(literal 1/2 binary64) y) y) |
(+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y))))) |
(fma.f64 (neg.f64 (log.f64 y)) (+.f64 #s(literal 1/2 binary64) y) y) |
(* y (+ 1 (log (/ 1 y)))) |
(fma.f64 (log.f64 y) (neg.f64 y) y) |
(* y (+ 1 (+ (log (/ 1 y)) (* 1/2 (/ (log (/ 1 y)) y))))) |
(fma.f64 y (-.f64 (/.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64)) y) (log.f64 y)) y) |
(* y (+ 1 (+ (log (/ 1 y)) (* 1/2 (/ (log (/ 1 y)) y))))) |
(fma.f64 y (-.f64 (/.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64)) y) (log.f64 y)) y) |
(* y (+ 1 (+ (log (/ 1 y)) (* 1/2 (/ (log (/ 1 y)) y))))) |
(fma.f64 y (-.f64 (/.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64)) y) (log.f64 y)) y) |
(* -1 (* y (- (+ (log -1) (* -1 (log (/ -1 y)))) 1))) |
(fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (neg.f64 y) y) |
(* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y)))) 1))) |
(fma.f64 (neg.f64 y) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) y) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y)))) y) |
(* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y)))) 1))) |
(fma.f64 (neg.f64 y) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) y) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y)))) y) |
(* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y)))) 1))) |
(fma.f64 (neg.f64 y) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) y) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y)))) y) |
(log y) |
(log.f64 y) |
(log y) |
(log.f64 y) |
(log y) |
(log.f64 y) |
(log y) |
(log.f64 y) |
(* -1 (log (/ 1 y))) |
(log.f64 y) |
(* -1 (log (/ 1 y))) |
(log.f64 y) |
(* -1 (log (/ 1 y))) |
(log.f64 y) |
(* -1 (log (/ 1 y))) |
(log.f64 y) |
(+ (log -1) (* -1 (log (/ -1 y)))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) |
(+ (log -1) (* -1 (log (/ -1 y)))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) |
(+ (log -1) (* -1 (log (/ -1 y)))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) |
(+ (log -1) (* -1 (log (/ -1 y)))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) |
-1/2 |
#s(literal -1/2 binary64) |
(- (* -1 y) 1/2) |
(-.f64 #s(literal -1/2 binary64) y) |
(- (* -1 y) 1/2) |
(-.f64 #s(literal -1/2 binary64) y) |
(- (* -1 y) 1/2) |
(-.f64 #s(literal -1/2 binary64) y) |
(* -1 y) |
(neg.f64 y) |
(* -1 (* y (+ 1 (* 1/2 (/ 1 y))))) |
(neg.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) y) y)) |
(* -1 (* y (+ 1 (* 1/2 (/ 1 y))))) |
(neg.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) y) y)) |
(* -1 (* y (+ 1 (* 1/2 (/ 1 y))))) |
(neg.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) y) y)) |
(* -1 y) |
(neg.f64 y) |
(* -1 (* y (+ 1 (* 1/2 (/ 1 y))))) |
(neg.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) y) y)) |
(* -1 (* y (+ 1 (* 1/2 (/ 1 y))))) |
(neg.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) y) y)) |
(* -1 (* y (+ 1 (* 1/2 (/ 1 y))))) |
(neg.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) y) y)) |
-2 |
#s(literal -2 binary64) |
(- (* 4 y) 2) |
(fma.f64 y #s(literal 4 binary64) #s(literal -2 binary64)) |
(- (* y (+ 4 (* -8 y))) 2) |
(fma.f64 y (fma.f64 y #s(literal -8 binary64) #s(literal 4 binary64)) #s(literal -2 binary64)) |
(- (* y (+ 4 (* y (- (* 16 y) 8)))) 2) |
(fma.f64 y (fma.f64 y (fma.f64 y #s(literal 16 binary64) #s(literal -8 binary64)) #s(literal 4 binary64)) #s(literal -2 binary64)) |
(/ -1 y) |
(/.f64 #s(literal -1 binary64) y) |
(/ (- (* 1/2 (/ 1 y)) 1) y) |
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) y)) y) |
(/ (- (* 1/2 (/ 1 y)) (+ 1 (/ 1/4 (pow y 2)))) y) |
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/4 binary64) y)) y)) y) |
(/ (- (+ (* 1/2 (/ 1 y)) (* 1/8 (/ 1 (pow y 3)))) (+ 1 (/ 1/4 (pow y 2)))) y) |
(/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y (*.f64 y y))) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/4 binary64) y)) y))) y) |
(/ -1 y) |
(/.f64 #s(literal -1 binary64) y) |
(* -1 (/ (- 1 (* 1/2 (/ 1 y))) y)) |
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) y)) y) |
(* -1 (/ (+ 1 (* -1 (/ (- 1/2 (* 1/4 (/ 1 y))) y))) y)) |
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/4 binary64) y)) y)) y) |
(* -1 (/ (+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/4 (* 1/8 (/ 1 y))) y))) y))) y)) |
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) y)) y)) y)) y) |
2 |
#s(literal 2 binary64) |
(+ 2 (* -4 y)) |
(fma.f64 y #s(literal -4 binary64) #s(literal 2 binary64)) |
(+ 2 (* y (- (* 8 y) 4))) |
(fma.f64 y (fma.f64 y #s(literal 8 binary64) #s(literal -4 binary64)) #s(literal 2 binary64)) |
(+ 2 (* y (- (* y (+ 8 (* -16 y))) 4))) |
(fma.f64 y (fma.f64 y (fma.f64 y #s(literal -16 binary64) #s(literal 8 binary64)) #s(literal -4 binary64)) #s(literal 2 binary64)) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ (- 1 (* 1/2 (/ 1 y))) y) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) y)) y) |
(/ (- (+ 1 (/ 1/4 (pow y 2))) (* 1/2 (/ 1 y))) y) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/4 binary64) y)) y)) y) |
(/ (- (+ 1 (/ 1/4 (pow y 2))) (+ (* 1/2 (/ 1 y)) (* 1/8 (/ 1 (pow y 3))))) y) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/8 binary64) y)) y)) y)) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(* -1 (/ (- (* 1/2 (/ 1 y)) 1) y)) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) y)) y) |
(* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 y)) 1/2) y)) 1) y)) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/4 binary64) y)) y)) y) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 y)) 1/4) y)) 1/2) y)) 1) y)) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/8 binary64) y)) y)) y)) y) |
(pow y 3) |
(*.f64 y (*.f64 y y)) |
(+ (pow x 3) (pow y 3)) |
(fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) |
(+ (pow x 3) (pow y 3)) |
(fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) |
(+ (pow x 3) (pow y 3)) |
(fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(* (pow x 3) (+ 1 (/ (pow y 3) (pow x 3)))) |
(*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 y y) (/.f64 y (*.f64 x (*.f64 x x))) #s(literal 1 binary64)))) |
(* (pow x 3) (+ 1 (/ (pow y 3) (pow x 3)))) |
(*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 y y) (/.f64 y (*.f64 x (*.f64 x x))) #s(literal 1 binary64)))) |
(* (pow x 3) (+ 1 (/ (pow y 3) (pow x 3)))) |
(*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 y y) (/.f64 y (*.f64 x (*.f64 x x))) #s(literal 1 binary64)))) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(* -1 (* (pow x 3) (- (* -1 (/ (pow y 3) (pow x 3))) 1))) |
(neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x)))))) |
(* -1 (* (pow x 3) (- (* -1 (/ (pow y 3) (pow x 3))) 1))) |
(neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x)))))) |
(* -1 (* (pow x 3) (- (* -1 (/ (pow y 3) (pow x 3))) 1))) |
(neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x)))))) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(+ (pow x 3) (pow y 3)) |
(fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) |
(+ (pow x 3) (pow y 3)) |
(fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) |
(+ (pow x 3) (pow y 3)) |
(fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) |
(pow y 3) |
(*.f64 y (*.f64 y y)) |
(* (pow y 3) (+ 1 (/ (pow x 3) (pow y 3)))) |
(*.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 x x) (/.f64 x (*.f64 y (*.f64 y y))) #s(literal 1 binary64))) |
(* (pow y 3) (+ 1 (/ (pow x 3) (pow y 3)))) |
(*.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 x x) (/.f64 x (*.f64 y (*.f64 y y))) #s(literal 1 binary64))) |
(* (pow y 3) (+ 1 (/ (pow x 3) (pow y 3)))) |
(*.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 x x) (/.f64 x (*.f64 y (*.f64 y y))) #s(literal 1 binary64))) |
(pow y 3) |
(*.f64 y (*.f64 y y)) |
(* -1 (* (pow y 3) (- (* -1 (/ (pow x 3) (pow y 3))) 1))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (*.f64 y (*.f64 y (neg.f64 y)))) |
(* -1 (* (pow y 3) (- (* -1 (/ (pow x 3) (pow y 3))) 1))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (*.f64 y (*.f64 y (neg.f64 y)))) |
(* -1 (* (pow y 3) (- (* -1 (/ (pow x 3) (pow y 3))) 1))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (*.f64 y (*.f64 y (neg.f64 y)))) |
(pow y 3) |
(*.f64 y (*.f64 y y)) |
(pow y 3) |
(*.f64 y (*.f64 y y)) |
(pow y 3) |
(*.f64 y (*.f64 y y)) |
(pow y 3) |
(*.f64 y (*.f64 y y)) |
(pow y 3) |
(*.f64 y (*.f64 y y)) |
(pow y 3) |
(*.f64 y (*.f64 y y)) |
(pow y 3) |
(*.f64 y (*.f64 y y)) |
(pow y 3) |
(*.f64 y (*.f64 y y)) |
(pow y 3) |
(*.f64 y (*.f64 y y)) |
(pow y 3) |
(*.f64 y (*.f64 y y)) |
(pow y 3) |
(*.f64 y (*.f64 y y)) |
(pow y 3) |
(*.f64 y (*.f64 y y)) |
Compiled 57 143 to 4 500 computations (92.1% saved)
38 alts after pruning (32 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 734 | 17 | 1 751 |
| Fresh | 5 | 15 | 20 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 5 | 5 |
| Total | 1 743 | 38 | 1 781 |
| Status | Accuracy | Program |
|---|---|---|
| 39.4% | (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) | |
| ✓ | 30.8% | (fma.f64 (log.f64 y) (neg.f64 y) y) |
| 38.9% | (fma.f64 (log.f64 y) #s(literal -1/2 binary64) x) | |
| 57.6% | (fma.f64 x (/.f64 (fma.f64 (neg.f64 (log.f64 y)) (+.f64 #s(literal 1/2 binary64) y) y) x) x) | |
| 5.8% | (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z))) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z)))) | |
| 12.6% | (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z)) | |
| 4.1% | (/.f64 (*.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))) (-.f64 y x)) (*.f64 (fma.f64 y y (*.f64 x (-.f64 x y))) (-.f64 y x))) | |
| 2.7% | (/.f64 (*.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) (-.f64 x y))) (*.f64 (fma.f64 y y (*.f64 x (-.f64 x y))) (*.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) (-.f64 x y)))) | |
| 12.6% | (/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (neg.f64 x)) | |
| 1.7% | (/.f64 (*.f64 y y) (-.f64 y x)) | |
| 13.3% | (/.f64 (*.f64 x (-.f64 y x)) (-.f64 y x)) | |
| 12.5% | (/.f64 (*.f64 x (*.f64 x (fma.f64 y (/.f64 y (*.f64 x x)) #s(literal -1 binary64)))) (-.f64 y x)) | |
| 13.0% | (/.f64 (*.f64 x (neg.f64 x)) (-.f64 y x)) | |
| 4.1% | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 x (+.f64 y x) (*.f64 y y)) (-.f64 y x)) (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (fma.f64 x (+.f64 y x) (*.f64 y y))))) | |
| 4.2% | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 y y) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 x x) y) x) y))) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) | |
| 7.1% | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (-.f64 x y)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) | |
| 6.6% | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) | |
| ✓ | 30.8% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 y) (neg.f64 y) y))) |
| 33.0% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 y (neg.f64 z)))) | |
| 2.4% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) | |
| 29.7% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) | |
| ✓ | 70.5% | (-.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) z) |
| 62.0% | (-.f64 (fma.f64 (log.f64 y) (neg.f64 y) y) z) | |
| 41.3% | (-.f64 (fma.f64 (log.f64 y) #s(literal -1/2 binary64) y) z) | |
| 61.3% | (-.f64 (/.f64 (/.f64 x (+.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64)))) z) | |
| 64.2% | (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64)))) z) | |
| 87.7% | (-.f64 (+.f64 (fma.f64 (*.f64 x (log.f64 y)) (/.f64 (+.f64 #s(literal -1/2 binary64) (neg.f64 y)) x) x) y) z) | |
| 99.7% | (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x))) y) z) | |
| 60.7% | (-.f64 (+.f64 x y) z) | |
| 30.8% | (-.f64 y (*.f64 y (log.f64 y))) | |
| 61.3% | (-.f64 x z) | |
| 59.1% | (+.f64 (fma.f64 (log.f64 y) (neg.f64 y) y) x) | |
| 6.7% | (*.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 x (-.f64 x y))))) | |
| 11.9% | (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)) (*.f64 (+.f64 y x) (-.f64 y x))) | |
| 78.2% | (*.f64 z (fma.f64 (log.f64 y) (/.f64 (-.f64 #s(literal -1/2 binary64) y) z) (fma.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 y x) #s(literal -1 binary64)))) | |
| ✓ | 33.3% | (neg.f64 z) |
| ✓ | 2.4% | y |
| ✓ | 29.7% | x |
Compiled 1 337 to 525 computations (60.7% saved)
| Inputs |
|---|
x |
y |
(neg.f64 z) |
(-.f64 x z) |
(-.f64 (+.f64 x y) z) |
(/.f64 (*.f64 y y) (-.f64 y x)) |
(/.f64 (*.f64 x (neg.f64 x)) (-.f64 y x)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 (*.f64 x (-.f64 y x)) (-.f64 y x)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z)) |
(/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (neg.f64 x)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 y x))) |
(/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (-.f64 y x)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 y (neg.f64 z)))) |
(*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (-.f64 y x))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)) (*.f64 (+.f64 y x) (-.f64 y x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z))) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z)))) |
(-.f64 (/.f64 (/.f64 x (+.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64)))) z) |
(/.f64 (*.f64 x (*.f64 x (fma.f64 y (/.f64 y (*.f64 x x)) #s(literal -1 binary64)))) (-.f64 y x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) |
(*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y)))) |
(*.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 x (-.f64 x y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (-.f64 x y)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) |
(/.f64 (*.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))) (-.f64 y x)) (*.f64 (fma.f64 y y (*.f64 x (-.f64 x y))) (-.f64 y x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 x (+.f64 y x) (*.f64 y y)) (-.f64 y x)) (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (fma.f64 x (+.f64 y x) (*.f64 y y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 y y) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 x x) y) x) y))) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) |
(/.f64 (*.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) (-.f64 x y))) (*.f64 (fma.f64 y y (*.f64 x (-.f64 x y))) (*.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) (-.f64 x y)))) |
(fma.f64 (log.f64 y) #s(literal -1/2 binary64) x) |
(-.f64 y (*.f64 y (log.f64 y))) |
(-.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64)) z) |
(fma.f64 (log.f64 y) (neg.f64 y) y) |
(-.f64 (fma.f64 (log.f64 y) #s(literal -1/2 binary64) x) z) |
(-.f64 (fma.f64 (log.f64 y) #s(literal -1/2 binary64) y) z) |
(fma.f64 (log.f64 y) #s(literal -1/2 binary64) (-.f64 x z)) |
(fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) |
(+.f64 (fma.f64 (log.f64 y) (neg.f64 y) y) x) |
(-.f64 (fma.f64 (log.f64 y) (neg.f64 y) y) z) |
(+.f64 y (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)) |
(+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) x) |
(-.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) z) |
(-.f64 (+.f64 x (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y)) z) |
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) |
(fma.f64 x (/.f64 (fma.f64 (neg.f64 (log.f64 y)) (+.f64 #s(literal 1/2 binary64) y) y) x) x) |
(fma.f64 x (/.f64 (-.f64 y (fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) z)) x) x) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 y) (neg.f64 y) y))) |
(-.f64 (+.f64 (-.f64 x (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) y))) y) z) |
(-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64)))) z) |
(-.f64 (+.f64 (fma.f64 (*.f64 x (log.f64 y)) (/.f64 (+.f64 #s(literal -1/2 binary64) (neg.f64 y)) x) 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 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x))) y) z) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 y (-.f64 x (fma.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y) z))))) |
(*.f64 z (fma.f64 (log.f64 y) (/.f64 (-.f64 #s(literal -1/2 binary64) y) z) (fma.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 y x) #s(literal -1 binary64)))) |
(-.f64 (/.f64 (fma.f64 (neg.f64 (+.f64 y x)) (/.f64 #s(literal -1 binary64) (+.f64 y #s(literal 1/2 binary64))) (neg.f64 (log.f64 y))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64)))) z) |
(/.f64 (fma.f64 (*.f64 (+.f64 y z) (-.f64 y z)) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)) (*.f64 (+.f64 y z) #s(literal 1 binary64))) (*.f64 (+.f64 y z) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (log.f64 y) #s(literal 1/2 binary64)) (*.f64 y (pow.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) #s(literal 2 binary64)))) (+.f64 (/.f64 z (*.f64 y (pow.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) #s(literal 2 binary64)))) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (log.f64 y))) (/.f64 x (*.f64 y (pow.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) #s(literal 2 binary64))))))) y)) |
| Outputs |
|---|
(-.f64 (+.f64 x (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y)) z) |
5 calls:
| 20.0ms | (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) |
| 18.0ms | y |
| 17.0ms | x |
| 16.0ms | (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) |
| 16.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 1 | x |
| 99.9% | 1 | y |
| 99.9% | 1 | z |
| 99.9% | 1 | (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) |
| 99.9% | 1 | (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) |
Compiled 40 to 28 computations (30% saved)
| Inputs |
|---|
x |
y |
(neg.f64 z) |
(-.f64 x z) |
(-.f64 (+.f64 x y) z) |
(/.f64 (*.f64 y y) (-.f64 y x)) |
(/.f64 (*.f64 x (neg.f64 x)) (-.f64 y x)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 (*.f64 x (-.f64 y x)) (-.f64 y x)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z)) |
(/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (neg.f64 x)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 y x))) |
(/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (-.f64 y x)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 y (neg.f64 z)))) |
(*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (-.f64 y x))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)) (*.f64 (+.f64 y x) (-.f64 y x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z))) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z)))) |
(-.f64 (/.f64 (/.f64 x (+.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64)))) z) |
(/.f64 (*.f64 x (*.f64 x (fma.f64 y (/.f64 y (*.f64 x x)) #s(literal -1 binary64)))) (-.f64 y x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) |
(*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y)))) |
(*.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 x (-.f64 x y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (-.f64 x y)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) |
(/.f64 (*.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))) (-.f64 y x)) (*.f64 (fma.f64 y y (*.f64 x (-.f64 x y))) (-.f64 y x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 x (+.f64 y x) (*.f64 y y)) (-.f64 y x)) (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (fma.f64 x (+.f64 y x) (*.f64 y y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 y y) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 x x) y) x) y))) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) |
(/.f64 (*.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) (-.f64 x y))) (*.f64 (fma.f64 y y (*.f64 x (-.f64 x y))) (*.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) (-.f64 x y)))) |
(fma.f64 (log.f64 y) #s(literal -1/2 binary64) x) |
(-.f64 y (*.f64 y (log.f64 y))) |
(-.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64)) z) |
(fma.f64 (log.f64 y) (neg.f64 y) y) |
(-.f64 (fma.f64 (log.f64 y) #s(literal -1/2 binary64) x) z) |
(-.f64 (fma.f64 (log.f64 y) #s(literal -1/2 binary64) y) z) |
(fma.f64 (log.f64 y) #s(literal -1/2 binary64) (-.f64 x z)) |
(fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) |
(+.f64 (fma.f64 (log.f64 y) (neg.f64 y) y) x) |
(-.f64 (fma.f64 (log.f64 y) (neg.f64 y) y) z) |
(+.f64 y (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)) |
(+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) x) |
(-.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) z) |
| Outputs |
|---|
(+.f64 (fma.f64 (log.f64 y) (neg.f64 y) y) x) |
(-.f64 (fma.f64 (log.f64 y) (neg.f64 y) y) z) |
(-.f64 (fma.f64 (log.f64 y) #s(literal -1/2 binary64) x) z) |
5 calls:
| 16.0ms | (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) |
| 14.0ms | z |
| 14.0ms | y |
| 12.0ms | (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) |
| 12.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 90.4% | 3 | x |
| 91.6% | 2 | y |
| 92.0% | 3 | z |
| 88.1% | 2 | (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) |
| 94.7% | 3 | (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) |
Compiled 40 to 28 computations (30% saved)
| Inputs |
|---|
x |
y |
(neg.f64 z) |
(-.f64 x z) |
(-.f64 (+.f64 x y) z) |
(/.f64 (*.f64 y y) (-.f64 y x)) |
(/.f64 (*.f64 x (neg.f64 x)) (-.f64 y x)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 (*.f64 x (-.f64 y x)) (-.f64 y x)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z)) |
(/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (neg.f64 x)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 y x))) |
(/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (-.f64 y x)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 y (neg.f64 z)))) |
(*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (-.f64 y x))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)) (*.f64 (+.f64 y x) (-.f64 y x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z))) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z)))) |
(-.f64 (/.f64 (/.f64 x (+.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64)))) z) |
(/.f64 (*.f64 x (*.f64 x (fma.f64 y (/.f64 y (*.f64 x x)) #s(literal -1 binary64)))) (-.f64 y x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) |
(*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y)))) |
(*.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 x (-.f64 x y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (-.f64 x y)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) |
(/.f64 (*.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))) (-.f64 y x)) (*.f64 (fma.f64 y y (*.f64 x (-.f64 x y))) (-.f64 y x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 x (+.f64 y x) (*.f64 y y)) (-.f64 y x)) (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (fma.f64 x (+.f64 y x) (*.f64 y y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 y y) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 x x) y) x) y))) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) |
(/.f64 (*.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) (-.f64 x y))) (*.f64 (fma.f64 y y (*.f64 x (-.f64 x y))) (*.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) (-.f64 x y)))) |
(fma.f64 (log.f64 y) #s(literal -1/2 binary64) x) |
(-.f64 y (*.f64 y (log.f64 y))) |
(-.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64)) z) |
(fma.f64 (log.f64 y) (neg.f64 y) y) |
(-.f64 (fma.f64 (log.f64 y) #s(literal -1/2 binary64) x) z) |
(-.f64 (fma.f64 (log.f64 y) #s(literal -1/2 binary64) y) z) |
(fma.f64 (log.f64 y) #s(literal -1/2 binary64) (-.f64 x z)) |
(fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) |
(+.f64 (fma.f64 (log.f64 y) (neg.f64 y) y) x) |
| Outputs |
|---|
(-.f64 (fma.f64 (log.f64 y) #s(literal -1/2 binary64) x) z) |
(+.f64 (fma.f64 (log.f64 y) (neg.f64 y) y) x) |
2 calls:
| 13.0ms | (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) |
| 11.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.6% | 2 | y |
| 90.1% | 2 | (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) |
Compiled 17 to 12 computations (29.4% saved)
| Inputs |
|---|
x |
y |
(neg.f64 z) |
(-.f64 x z) |
(-.f64 (+.f64 x y) z) |
(/.f64 (*.f64 y y) (-.f64 y x)) |
(/.f64 (*.f64 x (neg.f64 x)) (-.f64 y x)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 (*.f64 x (-.f64 y x)) (-.f64 y x)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z)) |
(/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (neg.f64 x)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 y x))) |
(/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (-.f64 y x)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 y (neg.f64 z)))) |
(*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (-.f64 y x))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)) (*.f64 (+.f64 y x) (-.f64 y x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z))) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z)))) |
(-.f64 (/.f64 (/.f64 x (+.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64)))) z) |
(/.f64 (*.f64 x (*.f64 x (fma.f64 y (/.f64 y (*.f64 x x)) #s(literal -1 binary64)))) (-.f64 y x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) |
(*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y)))) |
(*.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 x (-.f64 x y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (-.f64 x y)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) |
(/.f64 (*.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))) (-.f64 y x)) (*.f64 (fma.f64 y y (*.f64 x (-.f64 x y))) (-.f64 y x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 x (+.f64 y x) (*.f64 y y)) (-.f64 y x)) (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (fma.f64 x (+.f64 y x) (*.f64 y y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 y y) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 x x) y) x) y))) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) |
(/.f64 (*.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) (-.f64 x y))) (*.f64 (fma.f64 y y (*.f64 x (-.f64 x y))) (*.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) (-.f64 x y)))) |
(fma.f64 (log.f64 y) #s(literal -1/2 binary64) x) |
(-.f64 y (*.f64 y (log.f64 y))) |
(-.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64)) z) |
(fma.f64 (log.f64 y) (neg.f64 y) y) |
(-.f64 (fma.f64 (log.f64 y) #s(literal -1/2 binary64) x) z) |
(-.f64 (fma.f64 (log.f64 y) #s(literal -1/2 binary64) y) z) |
(fma.f64 (log.f64 y) #s(literal -1/2 binary64) (-.f64 x z)) |
(fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) |
| Outputs |
|---|
(-.f64 (fma.f64 (log.f64 y) #s(literal -1/2 binary64) x) z) |
(fma.f64 (log.f64 y) (neg.f64 y) y) |
5 calls:
| 13.0ms | (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) |
| 13.0ms | (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) |
| 11.0ms | y |
| 11.0ms | x |
| 11.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 77.9% | 4 | (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) |
| 74.9% | 3 | x |
| 80.3% | 2 | (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) |
| 75.4% | 3 | z |
| 83.2% | 2 | y |
Compiled 40 to 28 computations (30% saved)
| Inputs |
|---|
x |
y |
(neg.f64 z) |
(-.f64 x z) |
(-.f64 (+.f64 x y) z) |
(/.f64 (*.f64 y y) (-.f64 y x)) |
(/.f64 (*.f64 x (neg.f64 x)) (-.f64 y x)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 (*.f64 x (-.f64 y x)) (-.f64 y x)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z)) |
(/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (neg.f64 x)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 y x))) |
(/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (-.f64 y x)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 y (neg.f64 z)))) |
(*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (-.f64 y x))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)) (*.f64 (+.f64 y x) (-.f64 y x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z))) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z)))) |
(-.f64 (/.f64 (/.f64 x (+.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64)))) z) |
(/.f64 (*.f64 x (*.f64 x (fma.f64 y (/.f64 y (*.f64 x x)) #s(literal -1 binary64)))) (-.f64 y x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) |
(*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y)))) |
(*.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 x (-.f64 x y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (-.f64 x y)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) |
(/.f64 (*.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))) (-.f64 y x)) (*.f64 (fma.f64 y y (*.f64 x (-.f64 x y))) (-.f64 y x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 x (+.f64 y x) (*.f64 y y)) (-.f64 y x)) (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (fma.f64 x (+.f64 y x) (*.f64 y y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 y y) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 x x) y) x) y))) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) |
(/.f64 (*.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) (-.f64 x y))) (*.f64 (fma.f64 y y (*.f64 x (-.f64 x y))) (*.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) (-.f64 x y)))) |
(fma.f64 (log.f64 y) #s(literal -1/2 binary64) x) |
(-.f64 y (*.f64 y (log.f64 y))) |
(-.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64)) z) |
(fma.f64 (log.f64 y) (neg.f64 y) y) |
| Outputs |
|---|
(fma.f64 (log.f64 y) (neg.f64 y) y) |
(-.f64 x z) |
(-.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64)) z) |
(-.f64 x z) |
2 calls:
| 12.0ms | (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) |
| 10.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 79.6% | 4 | (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) |
| 74.4% | 2 | y |
Compiled 17 to 12 computations (29.4% saved)
| Inputs |
|---|
x |
y |
(neg.f64 z) |
(-.f64 x z) |
(-.f64 (+.f64 x y) z) |
(/.f64 (*.f64 y y) (-.f64 y x)) |
(/.f64 (*.f64 x (neg.f64 x)) (-.f64 y x)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 (*.f64 x (-.f64 y x)) (-.f64 y x)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z)) |
(/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (neg.f64 x)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 y x))) |
(/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (-.f64 y x)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 y (neg.f64 z)))) |
(*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (-.f64 y x))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)) (*.f64 (+.f64 y x) (-.f64 y x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z))) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z)))) |
(-.f64 (/.f64 (/.f64 x (+.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64)))) z) |
(/.f64 (*.f64 x (*.f64 x (fma.f64 y (/.f64 y (*.f64 x x)) #s(literal -1 binary64)))) (-.f64 y x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) |
(*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y)))) |
(*.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 x (-.f64 x y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (-.f64 x y)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) |
(/.f64 (*.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))) (-.f64 y x)) (*.f64 (fma.f64 y y (*.f64 x (-.f64 x y))) (-.f64 y x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 x (+.f64 y x) (*.f64 y y)) (-.f64 y x)) (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (fma.f64 x (+.f64 y x) (*.f64 y y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 y y) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 x x) y) x) y))) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) |
(/.f64 (*.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) (-.f64 x y))) (*.f64 (fma.f64 y y (*.f64 x (-.f64 x y))) (*.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) (-.f64 x y)))) |
(fma.f64 (log.f64 y) #s(literal -1/2 binary64) x) |
(-.f64 y (*.f64 y (log.f64 y))) |
(-.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64)) z) |
| Outputs |
|---|
(-.f64 y (*.f64 y (log.f64 y))) |
(-.f64 x z) |
(-.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64)) z) |
(-.f64 x z) |
1 calls:
| 10.0ms | (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 79.6% | 4 | (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) |
Compiled 13 to 9 computations (30.8% saved)
| Inputs |
|---|
x |
y |
(neg.f64 z) |
(-.f64 x z) |
(-.f64 (+.f64 x y) z) |
(/.f64 (*.f64 y y) (-.f64 y x)) |
(/.f64 (*.f64 x (neg.f64 x)) (-.f64 y x)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 (*.f64 x (-.f64 y x)) (-.f64 y x)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z)) |
(/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (neg.f64 x)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 y x))) |
(/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (-.f64 y x)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 y (neg.f64 z)))) |
(*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (-.f64 y x))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)) (*.f64 (+.f64 y x) (-.f64 y x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z))) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z)))) |
(-.f64 (/.f64 (/.f64 x (+.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64)))) z) |
(/.f64 (*.f64 x (*.f64 x (fma.f64 y (/.f64 y (*.f64 x x)) #s(literal -1 binary64)))) (-.f64 y x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) |
(*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y)))) |
(*.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 x (-.f64 x y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (-.f64 x y)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) |
(/.f64 (*.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))) (-.f64 y x)) (*.f64 (fma.f64 y y (*.f64 x (-.f64 x y))) (-.f64 y x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 x (+.f64 y x) (*.f64 y y)) (-.f64 y x)) (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (fma.f64 x (+.f64 y x) (*.f64 y y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 y y) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 x x) y) x) y))) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) |
(/.f64 (*.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) (-.f64 x y))) (*.f64 (fma.f64 y y (*.f64 x (-.f64 x y))) (*.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) (-.f64 x y)))) |
(fma.f64 (log.f64 y) #s(literal -1/2 binary64) x) |
(-.f64 y (*.f64 y (log.f64 y))) |
| Outputs |
|---|
(-.f64 (+.f64 x y) z) |
(-.f64 y (*.f64 y (log.f64 y))) |
3 calls:
| 11.0ms | (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) |
| 9.0ms | y |
| 9.0ms | (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 74.4% | 2 | y |
| 76.8% | 5 | (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) |
| 71.5% | 2 | (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) |
Compiled 32 to 22 computations (31.3% saved)
| Inputs |
|---|
x |
y |
(neg.f64 z) |
(-.f64 x z) |
(-.f64 (+.f64 x y) z) |
(/.f64 (*.f64 y y) (-.f64 y x)) |
(/.f64 (*.f64 x (neg.f64 x)) (-.f64 y x)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 (*.f64 x (-.f64 y x)) (-.f64 y x)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z)) |
(/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (neg.f64 x)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 y x))) |
(/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (-.f64 y x)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 y (neg.f64 z)))) |
(*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (-.f64 y x))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)) (*.f64 (+.f64 y x) (-.f64 y x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z))) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z)))) |
(-.f64 (/.f64 (/.f64 x (+.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64)))) z) |
(/.f64 (*.f64 x (*.f64 x (fma.f64 y (/.f64 y (*.f64 x x)) #s(literal -1 binary64)))) (-.f64 y x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) |
(*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y)))) |
(*.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 x (-.f64 x y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (-.f64 x y)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) |
(/.f64 (*.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))) (-.f64 y x)) (*.f64 (fma.f64 y y (*.f64 x (-.f64 x y))) (-.f64 y x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 x (+.f64 y x) (*.f64 y y)) (-.f64 y x)) (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (fma.f64 x (+.f64 y x) (*.f64 y y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 y y) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 x x) y) x) y))) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) |
(/.f64 (*.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) (-.f64 x y))) (*.f64 (fma.f64 y y (*.f64 x (-.f64 x y))) (*.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) (-.f64 x y)))) |
(fma.f64 (log.f64 y) #s(literal -1/2 binary64) x) |
| Outputs |
|---|
(-.f64 x z) |
(fma.f64 (log.f64 y) #s(literal -1/2 binary64) x) |
(-.f64 x z) |
5 calls:
| 12.0ms | (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) |
| 10.0ms | z |
| 9.0ms | y |
| 9.0ms | x |
| 9.0ms | (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 61.3% | 1 | (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) |
| 70.1% | 3 | (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) |
| 61.3% | 1 | x |
| 70.3% | 3 | z |
| 61.3% | 1 | y |
Compiled 40 to 28 computations (30% saved)
| Inputs |
|---|
x |
y |
(neg.f64 z) |
(-.f64 x z) |
(-.f64 (+.f64 x y) z) |
(/.f64 (*.f64 y y) (-.f64 y x)) |
(/.f64 (*.f64 x (neg.f64 x)) (-.f64 y x)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 (*.f64 x (-.f64 y x)) (-.f64 y x)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z)) |
(/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (neg.f64 x)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 y x))) |
(/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (-.f64 y x)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 y (neg.f64 z)))) |
(*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (-.f64 y x))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)) (*.f64 (+.f64 y x) (-.f64 y x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z))) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z)))) |
(-.f64 (/.f64 (/.f64 x (+.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64)))) z) |
(/.f64 (*.f64 x (*.f64 x (fma.f64 y (/.f64 y (*.f64 x x)) #s(literal -1 binary64)))) (-.f64 y x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) |
(*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y)))) |
(*.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 x (-.f64 x y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (-.f64 x y)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) |
(/.f64 (*.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))) (-.f64 y x)) (*.f64 (fma.f64 y y (*.f64 x (-.f64 x y))) (-.f64 y x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 x (+.f64 y x) (*.f64 y y)) (-.f64 y x)) (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (fma.f64 x (+.f64 y x) (*.f64 y y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 y y) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 x x) y) x) y))) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) |
(/.f64 (*.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) (-.f64 x y))) (*.f64 (fma.f64 y y (*.f64 x (-.f64 x y))) (*.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) (-.f64 x y)))) |
| Outputs |
|---|
(-.f64 x z) |
3 calls:
| 11.0ms | (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) |
| 9.0ms | (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) |
| 9.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 61.3% | 1 | (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) |
| 61.3% | 1 | (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) |
| 61.3% | 1 | z |
Compiled 32 to 22 computations (31.3% saved)
| Inputs |
|---|
x |
y |
(neg.f64 z) |
| Outputs |
|---|
(neg.f64 z) |
x |
(neg.f64 z) |
5 calls:
| 4.0ms | (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) |
| 2.0ms | (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) |
| 2.0ms | x |
| 2.0ms | y |
| 2.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 52.0% | 3 | z |
| 50.5% | 3 | x |
| 36.5% | 2 | y |
| 40.3% | 4 | (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) |
| 51.0% | 3 | (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) |
Compiled 40 to 28 computations (30% saved)
Total -17.8b remaining (-39.6%)
Threshold costs -17.8b (-39.6%)
| Inputs |
|---|
x |
y |
| Outputs |
|---|
x |
5 calls:
| 2.0ms | (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) |
| 2.0ms | (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) |
| 2.0ms | x |
| 1.0ms | z |
| 1.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 29.7% | 1 | y |
| 29.7% | 1 | (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) |
| 29.7% | 1 | x |
| 29.7% | 1 | (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) |
| 29.7% | 1 | z |
Compiled 40 to 28 computations (30% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -1.0936196924463072e+50 | -7.609942048718835e+44 |
| 0.0ms | -6.6942956226075864e+218 | -1.0132850237306494e+211 |
Compiled 18 to 16 computations (11.1% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 11.0ms | 1.4441908226752553e+55 | 1.981212389200423e+56 |
| 8.0ms | 96× | 0 | valid |
Compiled 156 to 112 computations (28.2% saved)
ival-sub: 3.0ms (50.8% of total)ival-log: 1.0ms (16.9% of total)ival-add: 1.0ms (16.9% of total)ival-mult: 1.0ms (16.9% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 9.0ms | 1.0623648414012879e+90 | 1.1663299863000812e+91 |
| 6.0ms | 96× | 0 | valid |
Compiled 144 to 106 computations (26.4% saved)
ival-sub: 1.0ms (26.5% of total)ival-log: 1.0ms (26.5% of total)ival-add: 1.0ms (26.5% of total)ival-mult: 1.0ms (26.5% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 320.56839259796936 | 328.9459971682056 |
| 0.0ms | -410070.68356629874 | -9648.280306016815 |
| 0.0ms | -2.095932217206808e+106 | -1.5938443251697356e+106 |
Compiled 18 to 16 computations (11.1% saved)
| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 320.56839259796936 | 328.9459971682056 |
| 0.0ms | -410070.68356629874 | -9648.280306016815 |
| 0.0ms | -2.095932217206808e+106 | -1.5938443251697356e+106 |
Compiled 18 to 16 computations (11.1% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 283.0ms | 5.802655283016433e+67 | 4.8765883179036935e+69 |
| 280.0ms | 112× | 0 | valid |
Compiled 151 to 107 computations (29.1% saved)
ival-sub: 2.0ms (39.5% of total)ival-log: 1.0ms (19.8% of total)ival-add: 1.0ms (19.8% of total)ival-mult: 1.0ms (19.8% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 22.0ms | 7.503026340085713e-7 | 2.9146512424682727e+20 |
| 6.0ms | -29342606010401.754 | -16555067566517.463 |
| 21.0ms | 240× | 0 | valid |
Compiled 258 to 196 computations (24% saved)
ival-log: 3.0ms (31.6% of total)ival-sub: 2.0ms (21% of total)ival-add: 2.0ms (21% of total)ival-mult: 2.0ms (21% 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 |
|---|---|---|
| 6.0ms | 3.349406647133465e+80 | 6.183968909015458e+80 |
| 18.0ms | -1.519993344898574e+88 | -1.5936985004499107e+78 |
| 17.0ms | 224× | 0 | valid |
Compiled 172 to 142 computations (17.4% saved)
ival-sub: 5.0ms (43.2% of total)ival-log: 3.0ms (25.9% of total)ival-add: 2.0ms (17.3% of total)ival-mult: 1.0ms (8.6% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 42× | +-commutative_binary64 |
| 32× | sub-neg_binary64 |
| 20× | *-commutative_binary64 |
| 14× | neg-sub0_binary64 |
| 14× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 65 | 254 |
| 1 | 104 | 254 |
| 2 | 135 | 254 |
| 3 | 149 | 254 |
| 4 | 156 | 254 |
| 5 | 158 | 254 |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (+.f64 x (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y)) z) |
(if (<=.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) #s(literal -499999999999999982542194442741259708796427565313046921085521797595416593199525768658598408353399812648610739008092760363837084319972425144424811177737061172738273196287749844990774174009031639561114205492093752612749312 binary64)) (+.f64 (fma.f64 (log.f64 y) (neg.f64 y) y) x) (if (<=.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) #s(literal -100000000000000007629769841091887003294964970946560 binary64)) (-.f64 (fma.f64 (log.f64 y) (neg.f64 y) y) z) (-.f64 (fma.f64 (log.f64 y) #s(literal -1/2 binary64) x) z))) |
(if (<=.f64 y #s(literal 170000000000000000378831925785699841583676168573447831552 binary64)) (-.f64 (fma.f64 (log.f64 y) #s(literal -1/2 binary64) x) z) (+.f64 (fma.f64 (log.f64 y) (neg.f64 y) y) x)) |
(if (<=.f64 y #s(literal 10999999999999999970559876307552691828070167161461735571653328770519817269159562185734619136 binary64)) (-.f64 (fma.f64 (log.f64 y) #s(literal -1/2 binary64) x) z) (fma.f64 (log.f64 y) (neg.f64 y) y)) |
(if (<=.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) #s(literal -20000000000000001820719981007368700209209079903509731143090914749681805790702668304308360195083224381128704 binary64)) (fma.f64 (log.f64 y) (neg.f64 y) y) (if (<=.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) #s(literal -400000 binary64)) (-.f64 x z) (if (<=.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) #s(literal 325 binary64)) (-.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64)) z) (-.f64 x z)))) |
(if (<=.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) #s(literal -20000000000000001820719981007368700209209079903509731143090914749681805790702668304308360195083224381128704 binary64)) (-.f64 y (*.f64 y (log.f64 y))) (if (<=.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) #s(literal -400000 binary64)) (-.f64 x z) (if (<=.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) #s(literal 325 binary64)) (-.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64)) z) (-.f64 x z)))) |
(if (<=.f64 y #s(literal 4800000000000000348150894631340328605560197166303305386487408746299392 binary64)) (-.f64 (+.f64 x y) z) (-.f64 y (*.f64 y (log.f64 y)))) |
(if (<=.f64 z #s(literal -16600000000000 binary64)) (-.f64 x z) (if (<=.f64 z #s(literal 210 binary64)) (fma.f64 (log.f64 y) #s(literal -1/2 binary64) x) (-.f64 x z))) |
(-.f64 x z) |
(if (<=.f64 z #s(literal -820000000000000002851008182322541335054650381777607442577059600132343804471541760 binary64)) (neg.f64 z) (if (<=.f64 z #s(literal 369999999999999996149245561850064422016462846232801781704522239057320435953696768 binary64)) x (neg.f64 z))) |
x |
| Outputs |
|---|
(-.f64 (+.f64 x (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y)) z) |
(if (<=.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) #s(literal -499999999999999982542194442741259708796427565313046921085521797595416593199525768658598408353399812648610739008092760363837084319972425144424811177737061172738273196287749844990774174009031639561114205492093752612749312 binary64)) (+.f64 (fma.f64 (log.f64 y) (neg.f64 y) y) x) (if (<=.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) #s(literal -100000000000000007629769841091887003294964970946560 binary64)) (-.f64 (fma.f64 (log.f64 y) (neg.f64 y) y) z) (-.f64 (fma.f64 (log.f64 y) #s(literal -1/2 binary64) x) z))) |
(if (<=.f64 (+.f64 y (-.f64 x (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))))) #s(literal -499999999999999982542194442741259708796427565313046921085521797595416593199525768658598408353399812648610739008092760363837084319972425144424811177737061172738273196287749844990774174009031639561114205492093752612749312 binary64)) (+.f64 x (fma.f64 (log.f64 y) (neg.f64 y) y)) (if (<=.f64 (+.f64 y (-.f64 x (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))))) #s(literal -100000000000000007629769841091887003294964970946560 binary64)) (-.f64 (fma.f64 (log.f64 y) (neg.f64 y) y) z) (-.f64 (fma.f64 (log.f64 y) #s(literal -1/2 binary64) x) z))) |
(if (<=.f64 y #s(literal 170000000000000000378831925785699841583676168573447831552 binary64)) (-.f64 (fma.f64 (log.f64 y) #s(literal -1/2 binary64) x) z) (+.f64 (fma.f64 (log.f64 y) (neg.f64 y) y) x)) |
(if (<=.f64 y #s(literal 170000000000000000378831925785699841583676168573447831552 binary64)) (-.f64 (fma.f64 (log.f64 y) #s(literal -1/2 binary64) x) z) (+.f64 x (fma.f64 (log.f64 y) (neg.f64 y) y))) |
(if (<=.f64 y #s(literal 10999999999999999970559876307552691828070167161461735571653328770519817269159562185734619136 binary64)) (-.f64 (fma.f64 (log.f64 y) #s(literal -1/2 binary64) x) z) (fma.f64 (log.f64 y) (neg.f64 y) y)) |
(if (<=.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) #s(literal -20000000000000001820719981007368700209209079903509731143090914749681805790702668304308360195083224381128704 binary64)) (fma.f64 (log.f64 y) (neg.f64 y) y) (if (<=.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) #s(literal -400000 binary64)) (-.f64 x z) (if (<=.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) #s(literal 325 binary64)) (-.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64)) z) (-.f64 x z)))) |
(if (<=.f64 (+.f64 y (-.f64 x (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))))) #s(literal -20000000000000001820719981007368700209209079903509731143090914749681805790702668304308360195083224381128704 binary64)) (fma.f64 (log.f64 y) (neg.f64 y) y) (if (<=.f64 (+.f64 y (-.f64 x (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))))) #s(literal -400000 binary64)) (-.f64 x z) (if (<=.f64 (+.f64 y (-.f64 x (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))))) #s(literal 325 binary64)) (-.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64)) z) (-.f64 x z)))) |
(if (<=.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) #s(literal -20000000000000001820719981007368700209209079903509731143090914749681805790702668304308360195083224381128704 binary64)) (-.f64 y (*.f64 y (log.f64 y))) (if (<=.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) #s(literal -400000 binary64)) (-.f64 x z) (if (<=.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) #s(literal 325 binary64)) (-.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64)) z) (-.f64 x z)))) |
(if (<=.f64 (+.f64 y (-.f64 x (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))))) #s(literal -20000000000000001820719981007368700209209079903509731143090914749681805790702668304308360195083224381128704 binary64)) (-.f64 y (*.f64 y (log.f64 y))) (if (<=.f64 (+.f64 y (-.f64 x (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))))) #s(literal -400000 binary64)) (-.f64 x z) (if (<=.f64 (+.f64 y (-.f64 x (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))))) #s(literal 325 binary64)) (-.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64)) z) (-.f64 x z)))) |
(if (<=.f64 y #s(literal 4800000000000000348150894631340328605560197166303305386487408746299392 binary64)) (-.f64 (+.f64 x y) z) (-.f64 y (*.f64 y (log.f64 y)))) |
(if (<=.f64 z #s(literal -16600000000000 binary64)) (-.f64 x z) (if (<=.f64 z #s(literal 210 binary64)) (fma.f64 (log.f64 y) #s(literal -1/2 binary64) x) (-.f64 x z))) |
(-.f64 x z) |
(if (<=.f64 z #s(literal -820000000000000002851008182322541335054650381777607442577059600132343804471541760 binary64)) (neg.f64 z) (if (<=.f64 z #s(literal 369999999999999996149245561850064422016462846232801781704522239057320435953696768 binary64)) x (neg.f64 z))) |
x |
| 12 810× | accelerator-lowering-fma.f32 |
| 12 810× | accelerator-lowering-fma.f64 |
| 12 638× | accelerator-lowering-fma.f32 |
| 12 638× | accelerator-lowering-fma.f64 |
| 9 014× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 475 | 5486 |
| 1 | 1516 | 5122 |
| 2 | 5161 | 4937 |
| 0 | 8257 | 4653 |
| 0 | 127 | 1274 |
| 1 | 415 | 1196 |
| 2 | 1319 | 1105 |
| 3 | 4703 | 1074 |
| 0 | 8535 | 991 |
| 0 | 23 | 110 |
| 1 | 177 | 109 |
| 2 | 1645 | 109 |
| 0 | 8654 | 100 |
| 0 | 677 | 4518 |
| 1 | 2150 | 4186 |
| 2 | 6883 | 4058 |
| 0 | 8179 | 3882 |
| 0 | 10 | 36 |
| 1 | 73 | 36 |
| 2 | 693 | 36 |
| 0 | 8827 | 33 |
| 0 | 350 | 2874 |
| 1 | 1059 | 2675 |
| 2 | 2967 | 2545 |
| 0 | 8359 | 2404 |
| 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 566 to 269 computations (52.5% saved)
Compiled 588 to 170 computations (71.1% saved)
Loading profile data...