
Time bar (total: 18.6s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 2 |
| 0% | 0% | 49.9% | 0.2% | 0% | 49.9% | 0% | 3 |
| 0% | 0% | 49.9% | 0.2% | 0% | 49.9% | 0% | 4 |
| 0% | 0% | 49.9% | 0.2% | 0% | 49.9% | 0% | 5 |
| 0% | 0% | 49.9% | 0.2% | 0% | 49.9% | 0% | 6 |
| 0% | 0% | 25% | 0.2% | 0% | 74.9% | 0% | 7 |
| 0% | 0% | 25% | 0.2% | 0% | 74.9% | 0% | 8 |
| 0% | 0% | 25% | 0.2% | 0% | 74.9% | 0% | 9 |
| 0% | 0% | 25% | 0.2% | 0% | 74.9% | 0% | 10 |
| 50% | 12.5% | 12.5% | 0.2% | 0% | 74.9% | 0% | 11 |
| 50% | 12.5% | 12.5% | 0.2% | 0% | 74.9% | 0% | 12 |
Compiled 19 to 16 computations (15.8% saved)
| 984.0ms | 6 155× | 0 | valid |
| 927.0ms | 2 101× | 1 | valid |
| 1.0ms | 6× | 0 | invalid |
ival-log: 765.0ms (49% of total)ival-sub: 531.0ms (34% of total)ival-mult: 132.0ms (8.4% of total)adjust: 74.0ms (4.7% of total)ival-add: 45.0ms (2.9% of total)ival-true: 8.0ms (0.5% of total)exact: 5.0ms (0.3% of total)ival-assert: 3.0ms (0.2% of total)| 1× | egg-herbie |
| 4 252× | lower-fma.f64 |
| 4 252× | lower-fma.f32 |
| 1 420× | sub-neg |
| 1 040× | lower-+.f32 |
| 1 038× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 70 | 252 |
| 1 | 159 | 248 |
| 2 | 467 | 241 |
| 3 | 1721 | 240 |
| 4 | 4245 | 240 |
| 5 | 7008 | 240 |
| 0 | 14 | 17 |
| 0 | 23 | 17 |
| 1 | 38 | 17 |
| 2 | 64 | 17 |
| 3 | 140 | 17 |
| 4 | 297 | 17 |
| 5 | 818 | 17 |
| 6 | 2350 | 17 |
| 7 | 3514 | 17 |
| 8 | 3887 | 17 |
| 9 | 3933 | 17 |
| 10 | 3933 | 17 |
| 11 | 4316 | 17 |
| 12 | 4413 | 17 |
| 13 | 4413 | 17 |
| 14 | 4415 | 17 |
| 0 | 4415 | 15 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (+.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y)) (*.f64 (-.f64 z #s(literal 1 binary64)) (log.f64 (-.f64 #s(literal 1 binary64) y)))) t) |
| Outputs |
|---|
(-.f64 (+.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y)) (*.f64 (-.f64 z #s(literal 1 binary64)) (log.f64 (-.f64 #s(literal 1 binary64) y)))) t) |
(fma.f64 (+.f64 z #s(literal -1 binary64)) (log1p.f64 (neg.f64 y)) (-.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (log.f64 y)) t)) |
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 255 | 0 | - | 0 | - | (log.f64 (-.f64 #s(literal 1 binary64) y)) |
| 0 | 0 | - | 0 | - | (-.f64 (+.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y)) (*.f64 (-.f64 z #s(literal 1 binary64)) (log.f64 (-.f64 #s(literal 1 binary64) y)))) t) |
| 0 | 0 | - | 0 | - | (-.f64 #s(literal 1 binary64) y) |
| 0 | 0 | - | 0 | - | (log.f64 y) |
| 0 | 0 | - | 0 | - | t |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | (*.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y)) |
| 0 | 0 | - | 0 | - | (-.f64 z #s(literal 1 binary64)) |
| 0 | 0 | - | 0 | - | (+.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y)) (*.f64 (-.f64 z #s(literal 1 binary64)) (log.f64 (-.f64 #s(literal 1 binary64) y)))) |
| 0 | 0 | - | 0 | - | (-.f64 x #s(literal 1 binary64)) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (*.f64 (-.f64 z #s(literal 1 binary64)) (log.f64 (-.f64 #s(literal 1 binary64) y))) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
log.f64 | (log.f64 (-.f64 #s(literal 1 binary64) y)) | sensitivity | 255 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 23 | 0 |
| - | 232 | 1 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 23 | 0 | 0 |
| - | 232 | 0 | 1 |
| number | freq |
|---|---|
| 0 | 1 |
| 1 | 255 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 206.0ms | 366× | 1 | valid |
| 95.0ms | 130× | 2 | valid |
| 2.0ms | 16× | 0 | valid |
Compiled 178 to 60 computations (66.3% saved)
ival-log: 80.0ms (35.5% of total)adjust: 71.0ms (31.5% of total)ival-sub: 55.0ms (24.4% of total)ival-mult: 14.0ms (6.2% of total)ival-add: 5.0ms (2.2% of total)ival-true: 1.0ms (0.4% of total)ival-assert: 0.0ms (0% of total)exact: 0.0ms (0% of total)Compiled 4 to 4 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 91.4% | (-.f64 (+.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y)) (*.f64 (-.f64 z #s(literal 1 binary64)) (log.f64 (-.f64 #s(literal 1 binary64) y)))) t) |
Compiled 21 to 14 computations (33.3% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y)) |
| ✓ | cost-diff | 0 | (-.f64 (+.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y)) (*.f64 (-.f64 z #s(literal 1 binary64)) (log.f64 (-.f64 #s(literal 1 binary64) y)))) t) |
| ✓ | cost-diff | 64 | (log.f64 (-.f64 #s(literal 1 binary64) y)) |
| ✓ | cost-diff | 128 | (+.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y)) (*.f64 (-.f64 z #s(literal 1 binary64)) (log.f64 (-.f64 #s(literal 1 binary64) y)))) |
| 4 252× | lower-fma.f64 |
| 4 252× | lower-fma.f32 |
| 1 040× | lower-+.f32 |
| 1 038× | lower-+.f64 |
| 1 034× | lower--.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 66 |
| 0 | 23 | 66 |
| 1 | 38 | 66 |
| 2 | 64 | 66 |
| 3 | 140 | 66 |
| 4 | 297 | 66 |
| 5 | 818 | 66 |
| 6 | 2350 | 66 |
| 7 | 3514 | 66 |
| 8 | 3887 | 66 |
| 9 | 3933 | 66 |
| 10 | 3933 | 66 |
| 11 | 4316 | 66 |
| 12 | 4413 | 66 |
| 13 | 4413 | 66 |
| 14 | 4415 | 66 |
| 0 | 4415 | 60 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (+.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y)) (*.f64 (-.f64 z #s(literal 1 binary64)) (log.f64 (-.f64 #s(literal 1 binary64) y)))) t) |
(+.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y)) (*.f64 (-.f64 z #s(literal 1 binary64)) (log.f64 (-.f64 #s(literal 1 binary64) y)))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y)) |
(-.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
(log.f64 y) |
y |
(*.f64 (-.f64 z #s(literal 1 binary64)) (log.f64 (-.f64 #s(literal 1 binary64) y))) |
(-.f64 z #s(literal 1 binary64)) |
z |
(log.f64 (-.f64 #s(literal 1 binary64) y)) |
(-.f64 #s(literal 1 binary64) y) |
t |
| Outputs |
|---|
(-.f64 (+.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y)) (*.f64 (-.f64 z #s(literal 1 binary64)) (log.f64 (-.f64 #s(literal 1 binary64) y)))) t) |
(fma.f64 (+.f64 z #s(literal -1 binary64)) (log1p.f64 (neg.f64 y)) (-.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (log.f64 y)) t)) |
(+.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y)) (*.f64 (-.f64 z #s(literal 1 binary64)) (log.f64 (-.f64 #s(literal 1 binary64) y)))) |
(fma.f64 (+.f64 x #s(literal -1 binary64)) (log.f64 y) (*.f64 (+.f64 z #s(literal -1 binary64)) (log1p.f64 (neg.f64 y)))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y)) |
(*.f64 (+.f64 x #s(literal -1 binary64)) (log.f64 y)) |
(-.f64 x #s(literal 1 binary64)) |
(+.f64 x #s(literal -1 binary64)) |
x |
#s(literal 1 binary64) |
(log.f64 y) |
y |
(*.f64 (-.f64 z #s(literal 1 binary64)) (log.f64 (-.f64 #s(literal 1 binary64) y))) |
(*.f64 (+.f64 z #s(literal -1 binary64)) (log1p.f64 (neg.f64 y))) |
(-.f64 z #s(literal 1 binary64)) |
(+.f64 z #s(literal -1 binary64)) |
z |
(log.f64 (-.f64 #s(literal 1 binary64) y)) |
(log1p.f64 (neg.f64 y)) |
(-.f64 #s(literal 1 binary64) y) |
t |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (+.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y)) (*.f64 (-.f64 z #s(literal 1 binary64)) (log.f64 (-.f64 #s(literal 1 binary64) y)))) |
| ✓ | accuracy | 100.0% | (*.f64 (-.f64 z #s(literal 1 binary64)) (log.f64 (-.f64 #s(literal 1 binary64) y))) |
| ✓ | accuracy | 99.7% | (*.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y)) |
| ✓ | accuracy | 7.6% | (log.f64 (-.f64 #s(literal 1 binary64) y)) |
| 170.0ms | 183× | 1 | valid |
| 39.0ms | 65× | 2 | valid |
| 1.0ms | 8× | 0 | valid |
Compiled 68 to 16 computations (76.5% saved)
ival-log: 124.0ms (80% of total)adjust: 11.0ms (7.1% of total)ival-sub: 10.0ms (6.5% of total)ival-mult: 7.0ms (4.5% of total)ival-add: 3.0ms (1.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt (+.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y)) (*.f64 (-.f64 z #s(literal 1 binary64)) (log.f64 (-.f64 #s(literal 1 binary64) y))))> |
#<alt (log.f64 (-.f64 #s(literal 1 binary64) y))> |
#<alt (-.f64 (+.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y)) (*.f64 (-.f64 z #s(literal 1 binary64)) (log.f64 (-.f64 #s(literal 1 binary64) y)))) t)> |
#<alt (*.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y))> |
#<alt (*.f64 (-.f64 z #s(literal 1 binary64)) (log.f64 (-.f64 #s(literal 1 binary64) y)))> |
| Outputs |
|---|
#<alt (+ (* -1 (log y)) (* (log (- 1 y)) (- z 1)))> |
#<alt (+ (* -1 (log y)) (+ (* x (log y)) (* (log (- 1 y)) (- z 1))))> |
#<alt (+ (* -1 (log y)) (+ (* x (log y)) (* (log (- 1 y)) (- z 1))))> |
#<alt (+ (* -1 (log y)) (+ (* x (log y)) (* (log (- 1 y)) (- z 1))))> |
#<alt (* x (log y))> |
#<alt (* x (+ (log y) (+ (* -1 (/ (log y) x)) (/ (* (log (- 1 y)) (- z 1)) x))))> |
#<alt (* x (+ (log y) (+ (* -1 (/ (log y) x)) (/ (* (log (- 1 y)) (- z 1)) x))))> |
#<alt (* x (+ (log y) (+ (* -1 (/ (log y) x)) (/ (* (log (- 1 y)) (- z 1)) x))))> |
#<alt (* x (log y))> |
#<alt (* -1 (* x (+ (* -1 (log y)) (* -1 (/ (+ (* -1 (log y)) (* (log (- 1 y)) (- z 1))) x)))))> |
#<alt (* -1 (* x (+ (* -1 (log y)) (* -1 (/ (+ (* -1 (log y)) (* (log (- 1 y)) (- z 1))) x)))))> |
#<alt (* -1 (* x (+ (* -1 (log y)) (* -1 (/ (+ (* -1 (log y)) (* (log (- 1 y)) (- z 1))) x)))))> |
#<alt (* (log y) (- x 1))> |
#<alt (+ (* -1 (* y (- z 1))) (* (log y) (- x 1)))> |
#<alt (+ (* y (+ (* -1 (- z 1)) (* -1/2 (* y (- z 1))))) (* (log y) (- x 1)))> |
#<alt (+ (* y (+ (* -1 (- z 1)) (* y (+ (* -1/2 (- z 1)) (* -1/3 (* y (- z 1))))))) (* (log y) (- x 1)))> |
#<alt (+ (* -1 (* (log (/ 1 y)) (- x 1))) (* (+ (log -1) (* -1 (log (/ 1 y)))) (- z 1)))> |
#<alt (+ (* -1 (* (log (/ 1 y)) (- x 1))) (+ (* -1 (/ (- z 1) y)) (* (+ (log -1) (* -1 (log (/ 1 y)))) (- z 1))))> |
#<alt (+ (* -1 (* (log (/ 1 y)) (- x 1))) (+ (* -1 (/ (- z 1) y)) (+ (* -1/2 (/ (- z 1) (pow y 2))) (* (+ (log -1) (* -1 (log (/ 1 y)))) (- z 1)))))> |
#<alt (+ (* -1 (* (log (/ 1 y)) (- x 1))) (+ (* -1 (/ (- z 1) y)) (+ (* -1/2 (/ (- z 1) (pow y 2))) (+ (* -1/3 (/ (- z 1) (pow y 3))) (* (+ (log -1) (* -1 (log (/ 1 y)))) (- z 1))))))> |
#<alt (+ (* -1 (* (log (/ -1 y)) (- z 1))) (* (+ (log -1) (* -1 (log (/ -1 y)))) (- x 1)))> |
#<alt (+ (* -1 (* (log (/ -1 y)) (- z 1))) (+ (* -1 (/ (- z 1) y)) (* (+ (log -1) (* -1 (log (/ -1 y)))) (- x 1))))> |
#<alt (+ (* -1 (* (log (/ -1 y)) (- z 1))) (+ (* -1 (/ (- (+ z (* 1/2 (/ (- z 1) y))) 1) y)) (* (+ (log -1) (* -1 (log (/ -1 y)))) (- x 1))))> |
#<alt (+ (* -1 (* (log (/ -1 y)) (- z 1))) (+ (* -1 (/ (- (+ z (* -1 (/ (+ (* -1/2 (- z 1)) (* -1/3 (/ (- z 1) y))) y))) 1) y)) (* (+ (log -1) (* -1 (log (/ -1 y)))) (- x 1))))> |
#<alt (+ (* -1 (log (- 1 y))) (* (log y) (- x 1)))> |
#<alt (+ (* -1 (log (- 1 y))) (+ (* z (log (- 1 y))) (* (log y) (- x 1))))> |
#<alt (+ (* -1 (log (- 1 y))) (+ (* z (log (- 1 y))) (* (log y) (- x 1))))> |
#<alt (+ (* -1 (log (- 1 y))) (+ (* z (log (- 1 y))) (* (log y) (- x 1))))> |
#<alt (* z (log (- 1 y)))> |
#<alt (* z (+ (log (- 1 y)) (+ (* -1 (/ (log (- 1 y)) z)) (/ (* (log y) (- x 1)) z))))> |
#<alt (* z (+ (log (- 1 y)) (+ (* -1 (/ (log (- 1 y)) z)) (/ (* (log y) (- x 1)) z))))> |
#<alt (* z (+ (log (- 1 y)) (+ (* -1 (/ (log (- 1 y)) z)) (/ (* (log y) (- x 1)) z))))> |
#<alt (* z (log (- 1 y)))> |
#<alt (* -1 (* z (+ (* -1 (log (- 1 y))) (* -1 (/ (+ (* -1 (log (- 1 y))) (* (log y) (- x 1))) z)))))> |
#<alt (* -1 (* z (+ (* -1 (log (- 1 y))) (* -1 (/ (+ (* -1 (log (- 1 y))) (* (log y) (- x 1))) z)))))> |
#<alt (* -1 (* z (+ (* -1 (log (- 1 y))) (* -1 (/ (+ (* -1 (log (- 1 y))) (* (log y) (- x 1))) z)))))> |
#<alt (* -1 y)> |
#<alt (* y (- (* -1/2 y) 1))> |
#<alt (* y (- (* y (- (* -1/3 y) 1/2)) 1))> |
#<alt (* y (- (* y (- (* y (- (* -1/4 y) 1/3)) 1/2)) 1))> |
#<alt (+ (log -1) (* -1 (log (/ 1 y))))> |
#<alt (- (+ (log -1) (* -1 (log (/ 1 y)))) (/ 1 y))> |
#<alt (+ (log -1) (+ (* -1 (log (/ 1 y))) (* -1 (/ (+ 1 (* 1/2 (/ 1 y))) y))))> |
#<alt (- (+ (log -1) (+ (* -1 (log (/ 1 y))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 y))) (pow y 2))))) (/ 1 y))> |
#<alt (* -1 (log (/ -1 y)))> |
#<alt (- (* -1 (log (/ -1 y))) (/ 1 y))> |
#<alt (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ 1 (* 1/2 (/ 1 y))) y)))> |
#<alt (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow y 2)) (* 1/2 (/ 1 y)))) y)))> |
#<alt (- (+ (* -1 (log y)) (* (log (- 1 y)) (- z 1))) t)> |
#<alt (- (+ (* -1 (log y)) (+ (* x (log y)) (* (log (- 1 y)) (- z 1)))) t)> |
#<alt (- (+ (* -1 (log y)) (+ (* x (log y)) (* (log (- 1 y)) (- z 1)))) t)> |
#<alt (- (+ (* -1 (log y)) (+ (* x (log y)) (* (log (- 1 y)) (- z 1)))) t)> |
#<alt (* x (log y))> |
#<alt (* x (- (+ (log y) (+ (* -1 (/ (log y) x)) (/ (* (log (- 1 y)) (- z 1)) x))) (/ t x)))> |
#<alt (* x (- (+ (log y) (+ (* -1 (/ (log y) x)) (/ (* (log (- 1 y)) (- z 1)) x))) (/ t x)))> |
#<alt (* x (- (+ (log y) (+ (* -1 (/ (log y) x)) (/ (* (log (- 1 y)) (- z 1)) x))) (/ t x)))> |
#<alt (* x (log y))> |
#<alt (* -1 (* x (+ (* -1 (log y)) (* -1 (/ (- (+ (* -1 (log y)) (* (log (- 1 y)) (- z 1))) t) x)))))> |
#<alt (* -1 (* x (+ (* -1 (log y)) (* -1 (/ (- (+ (* -1 (log y)) (* (log (- 1 y)) (- z 1))) t) x)))))> |
#<alt (* -1 (* x (+ (* -1 (log y)) (* -1 (/ (- (+ (* -1 (log y)) (* (log (- 1 y)) (- z 1))) t) x)))))> |
#<alt (- (* (log y) (- x 1)) t)> |
#<alt (- (+ (* -1 (* y (- z 1))) (* (log y) (- x 1))) t)> |
#<alt (- (+ (* y (+ (* -1 (- z 1)) (* -1/2 (* y (- z 1))))) (* (log y) (- x 1))) t)> |
#<alt (- (+ (* y (+ (* -1 (- z 1)) (* y (+ (* -1/2 (- z 1)) (* -1/3 (* y (- z 1))))))) (* (log y) (- x 1))) t)> |
#<alt (- (+ (* -1 (* (log (/ 1 y)) (- x 1))) (* (+ (log -1) (* -1 (log (/ 1 y)))) (- z 1))) t)> |
#<alt (- (+ (* -1 (* (log (/ 1 y)) (- x 1))) (+ (* -1 (/ (- z 1) y)) (* (+ (log -1) (* -1 (log (/ 1 y)))) (- z 1)))) t)> |
#<alt (- (+ (* -1 (* (log (/ 1 y)) (- x 1))) (+ (* -1 (/ (- z 1) y)) (+ (* -1/2 (/ (- z 1) (pow y 2))) (* (+ (log -1) (* -1 (log (/ 1 y)))) (- z 1))))) t)> |
#<alt (- (+ (* -1 (* (log (/ 1 y)) (- x 1))) (+ (* -1 (/ (- z 1) y)) (+ (* -1/2 (/ (- z 1) (pow y 2))) (+ (* -1/3 (/ (- z 1) (pow y 3))) (* (+ (log -1) (* -1 (log (/ 1 y)))) (- z 1)))))) t)> |
#<alt (- (+ (* -1 (* (log (/ -1 y)) (- z 1))) (* (+ (log -1) (* -1 (log (/ -1 y)))) (- x 1))) t)> |
#<alt (- (+ (* -1 (* (log (/ -1 y)) (- z 1))) (+ (* -1 (/ (- z 1) y)) (* (+ (log -1) (* -1 (log (/ -1 y)))) (- x 1)))) t)> |
#<alt (- (+ (* -1 (* (log (/ -1 y)) (- z 1))) (+ (* -1 (/ (- (+ z (* 1/2 (/ (- z 1) y))) 1) y)) (* (+ (log -1) (* -1 (log (/ -1 y)))) (- x 1)))) t)> |
#<alt (- (+ (* -1 (* (log (/ -1 y)) (- z 1))) (+ (* -1 (/ (- (+ z (* -1 (/ (+ (* -1/2 (- z 1)) (* -1/3 (/ (- z 1) y))) y))) 1) y)) (* (+ (log -1) (* -1 (log (/ -1 y)))) (- x 1)))) t)> |
#<alt (- (+ (* -1 (log (- 1 y))) (* (log y) (- x 1))) t)> |
#<alt (- (+ (* -1 (log (- 1 y))) (+ (* z (log (- 1 y))) (* (log y) (- x 1)))) t)> |
#<alt (- (+ (* -1 (log (- 1 y))) (+ (* z (log (- 1 y))) (* (log y) (- x 1)))) t)> |
#<alt (- (+ (* -1 (log (- 1 y))) (+ (* z (log (- 1 y))) (* (log y) (- x 1)))) t)> |
#<alt (* z (log (- 1 y)))> |
#<alt (* z (- (+ (log (- 1 y)) (+ (* -1 (/ (log (- 1 y)) z)) (/ (* (log y) (- x 1)) z))) (/ t z)))> |
#<alt (* z (- (+ (log (- 1 y)) (+ (* -1 (/ (log (- 1 y)) z)) (/ (* (log y) (- x 1)) z))) (/ t z)))> |
#<alt (* z (- (+ (log (- 1 y)) (+ (* -1 (/ (log (- 1 y)) z)) (/ (* (log y) (- x 1)) z))) (/ t z)))> |
#<alt (* z (log (- 1 y)))> |
#<alt (* -1 (* z (+ (* -1 (log (- 1 y))) (* -1 (/ (- (+ (* -1 (log (- 1 y))) (* (log y) (- x 1))) t) z)))))> |
#<alt (* -1 (* z (+ (* -1 (log (- 1 y))) (* -1 (/ (- (+ (* -1 (log (- 1 y))) (* (log y) (- x 1))) t) z)))))> |
#<alt (* -1 (* z (+ (* -1 (log (- 1 y))) (* -1 (/ (- (+ (* -1 (log (- 1 y))) (* (log y) (- x 1))) t) z)))))> |
#<alt (+ (* (log y) (- x 1)) (* (log (- 1 y)) (- z 1)))> |
#<alt (+ (* -1 t) (+ (* (log y) (- x 1)) (* (log (- 1 y)) (- z 1))))> |
#<alt (+ (* -1 t) (+ (* (log y) (- x 1)) (* (log (- 1 y)) (- z 1))))> |
#<alt (+ (* -1 t) (+ (* (log y) (- x 1)) (* (log (- 1 y)) (- z 1))))> |
#<alt (* -1 t)> |
#<alt (* t (- (+ (/ (* (log y) (- x 1)) t) (/ (* (log (- 1 y)) (- z 1)) t)) 1))> |
#<alt (* t (- (+ (/ (* (log y) (- x 1)) t) (/ (* (log (- 1 y)) (- z 1)) t)) 1))> |
#<alt (* t (- (+ (/ (* (log y) (- x 1)) t) (/ (* (log (- 1 y)) (- z 1)) t)) 1))> |
#<alt (* -1 t)> |
#<alt (* -1 (* t (+ 1 (* -1 (/ (+ (* (log y) (- x 1)) (* (log (- 1 y)) (- z 1))) t)))))> |
#<alt (* -1 (* t (+ 1 (* -1 (/ (+ (* (log y) (- x 1)) (* (log (- 1 y)) (- z 1))) t)))))> |
#<alt (* -1 (* t (+ 1 (* -1 (/ (+ (* (log y) (- x 1)) (* (log (- 1 y)) (- z 1))) t)))))> |
#<alt (* -1 (log y))> |
#<alt (+ (* -1 (log y)) (* x (log y)))> |
#<alt (+ (* -1 (log y)) (* x (log y)))> |
#<alt (+ (* -1 (log y)) (* x (log y)))> |
#<alt (* x (log y))> |
#<alt (* x (+ (log y) (* -1 (/ (log y) x))))> |
#<alt (* x (+ (log y) (* -1 (/ (log y) x))))> |
#<alt (* x (+ (log y) (* -1 (/ (log y) x))))> |
#<alt (* x (log y))> |
#<alt (* -1 (* x (+ (* -1 (log y)) (/ (log y) x))))> |
#<alt (* -1 (* x (+ (* -1 (log y)) (/ (log y) x))))> |
#<alt (* -1 (* x (+ (* -1 (log y)) (/ (log y) x))))> |
#<alt (* (log y) (- x 1))> |
#<alt (* (log y) (- x 1))> |
#<alt (* (log y) (- x 1))> |
#<alt (* (log y) (- x 1))> |
#<alt (* -1 (* (log (/ 1 y)) (- x 1)))> |
#<alt (* -1 (* (log (/ 1 y)) (- x 1)))> |
#<alt (* -1 (* (log (/ 1 y)) (- x 1)))> |
#<alt (* -1 (* (log (/ 1 y)) (- x 1)))> |
#<alt (* (+ (log -1) (* -1 (log (/ -1 y)))) (- x 1))> |
#<alt (* (+ (log -1) (* -1 (log (/ -1 y)))) (- x 1))> |
#<alt (* (+ (log -1) (* -1 (log (/ -1 y)))) (- x 1))> |
#<alt (* (+ (log -1) (* -1 (log (/ -1 y)))) (- x 1))> |
#<alt (* -1 (log (- 1 y)))> |
#<alt (+ (* -1 (log (- 1 y))) (* z (log (- 1 y))))> |
#<alt (+ (* -1 (log (- 1 y))) (* z (log (- 1 y))))> |
#<alt (+ (* -1 (log (- 1 y))) (* z (log (- 1 y))))> |
#<alt (* z (log (- 1 y)))> |
#<alt (* z (+ (log (- 1 y)) (* -1 (/ (log (- 1 y)) z))))> |
#<alt (* z (+ (log (- 1 y)) (* -1 (/ (log (- 1 y)) z))))> |
#<alt (* z (+ (log (- 1 y)) (* -1 (/ (log (- 1 y)) z))))> |
#<alt (* z (log (- 1 y)))> |
#<alt (* -1 (* z (+ (* -1 (log (- 1 y))) (/ (log (- 1 y)) z))))> |
#<alt (* -1 (* z (+ (* -1 (log (- 1 y))) (/ (log (- 1 y)) z))))> |
#<alt (* -1 (* z (+ (* -1 (log (- 1 y))) (/ (log (- 1 y)) z))))> |
#<alt (* -1 (* y (- z 1)))> |
#<alt (* y (+ (* -1 (- z 1)) (* -1/2 (* y (- z 1)))))> |
#<alt (* y (+ (* -1 (- z 1)) (* y (+ (* -1/2 (- z 1)) (* -1/3 (* y (- z 1)))))))> |
#<alt (* y (+ (* -1 (- z 1)) (* y (+ (* -1/2 (- z 1)) (* y (+ (* -1/3 (- z 1)) (* -1/4 (* y (- z 1)))))))))> |
#<alt (* (+ (log -1) (* -1 (log (/ 1 y)))) (- z 1))> |
#<alt (+ (* -1 (/ (- z 1) y)) (* (+ (log -1) (* -1 (log (/ 1 y)))) (- z 1)))> |
#<alt (+ (* -1 (/ (- z 1) y)) (+ (* -1/2 (/ (- z 1) (pow y 2))) (* (+ (log -1) (* -1 (log (/ 1 y)))) (- z 1))))> |
#<alt (+ (* -1 (/ (- z 1) y)) (+ (* -1/2 (/ (- z 1) (pow y 2))) (+ (* -1/3 (/ (- z 1) (pow y 3))) (* (+ (log -1) (* -1 (log (/ 1 y)))) (- z 1)))))> |
#<alt (* -1 (* (log (/ -1 y)) (- z 1)))> |
#<alt (+ (* -1 (* (log (/ -1 y)) (- z 1))) (* -1 (/ (- z 1) y)))> |
#<alt (+ (* -1 (* (log (/ -1 y)) (- z 1))) (* -1 (/ (- (+ z (* 1/2 (/ (- z 1) y))) 1) y)))> |
#<alt (+ (* -1 (* (log (/ -1 y)) (- z 1))) (* -1 (/ (- (+ z (* -1 (/ (+ (* -1/2 (- z 1)) (* -1/3 (/ (- z 1) y))) y))) 1) y)))> |
36 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 84.0ms | x | @ | 0 | (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) |
| 31.0ms | y | @ | 0 | (* (- x 1) (log y)) |
| 13.0ms | y | @ | -inf | (* (- x 1) (log y)) |
| 6.0ms | y | @ | inf | (* (- x 1) (log y)) |
| 4.0ms | t | @ | 0 | (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) |
| 1× | egg-herbie |
| 17 812× | lower-fma.f64 |
| 17 812× | lower-fma.f32 |
| 4 506× | lower-+.f64 |
| 4 506× | lower-+.f32 |
| 3 766× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 226 | 2458 |
| 1 | 700 | 2291 |
| 2 | 2121 | 2149 |
| 3 | 7355 | 2149 |
| 0 | 8590 | 1990 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* -1 (log y)) (* (log (- 1 y)) (- z 1))) |
(+ (* -1 (log y)) (+ (* x (log y)) (* (log (- 1 y)) (- z 1)))) |
(+ (* -1 (log y)) (+ (* x (log y)) (* (log (- 1 y)) (- z 1)))) |
(+ (* -1 (log y)) (+ (* x (log y)) (* (log (- 1 y)) (- z 1)))) |
(* x (log y)) |
(* x (+ (log y) (+ (* -1 (/ (log y) x)) (/ (* (log (- 1 y)) (- z 1)) x)))) |
(* x (+ (log y) (+ (* -1 (/ (log y) x)) (/ (* (log (- 1 y)) (- z 1)) x)))) |
(* x (+ (log y) (+ (* -1 (/ (log y) x)) (/ (* (log (- 1 y)) (- z 1)) x)))) |
(* x (log y)) |
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (+ (* -1 (log y)) (* (log (- 1 y)) (- z 1))) x))))) |
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (+ (* -1 (log y)) (* (log (- 1 y)) (- z 1))) x))))) |
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (+ (* -1 (log y)) (* (log (- 1 y)) (- z 1))) x))))) |
(* (log y) (- x 1)) |
(+ (* -1 (* y (- z 1))) (* (log y) (- x 1))) |
(+ (* y (+ (* -1 (- z 1)) (* -1/2 (* y (- z 1))))) (* (log y) (- x 1))) |
(+ (* y (+ (* -1 (- z 1)) (* y (+ (* -1/2 (- z 1)) (* -1/3 (* y (- z 1))))))) (* (log y) (- x 1))) |
(+ (* -1 (* (log (/ 1 y)) (- x 1))) (* (+ (log -1) (* -1 (log (/ 1 y)))) (- z 1))) |
(+ (* -1 (* (log (/ 1 y)) (- x 1))) (+ (* -1 (/ (- z 1) y)) (* (+ (log -1) (* -1 (log (/ 1 y)))) (- z 1)))) |
(+ (* -1 (* (log (/ 1 y)) (- x 1))) (+ (* -1 (/ (- z 1) y)) (+ (* -1/2 (/ (- z 1) (pow y 2))) (* (+ (log -1) (* -1 (log (/ 1 y)))) (- z 1))))) |
(+ (* -1 (* (log (/ 1 y)) (- x 1))) (+ (* -1 (/ (- z 1) y)) (+ (* -1/2 (/ (- z 1) (pow y 2))) (+ (* -1/3 (/ (- z 1) (pow y 3))) (* (+ (log -1) (* -1 (log (/ 1 y)))) (- z 1)))))) |
(+ (* -1 (* (log (/ -1 y)) (- z 1))) (* (+ (log -1) (* -1 (log (/ -1 y)))) (- x 1))) |
(+ (* -1 (* (log (/ -1 y)) (- z 1))) (+ (* -1 (/ (- z 1) y)) (* (+ (log -1) (* -1 (log (/ -1 y)))) (- x 1)))) |
(+ (* -1 (* (log (/ -1 y)) (- z 1))) (+ (* -1 (/ (- (+ z (* 1/2 (/ (- z 1) y))) 1) y)) (* (+ (log -1) (* -1 (log (/ -1 y)))) (- x 1)))) |
(+ (* -1 (* (log (/ -1 y)) (- z 1))) (+ (* -1 (/ (- (+ z (* -1 (/ (+ (* -1/2 (- z 1)) (* -1/3 (/ (- z 1) y))) y))) 1) y)) (* (+ (log -1) (* -1 (log (/ -1 y)))) (- x 1)))) |
(+ (* -1 (log (- 1 y))) (* (log y) (- x 1))) |
(+ (* -1 (log (- 1 y))) (+ (* z (log (- 1 y))) (* (log y) (- x 1)))) |
(+ (* -1 (log (- 1 y))) (+ (* z (log (- 1 y))) (* (log y) (- x 1)))) |
(+ (* -1 (log (- 1 y))) (+ (* z (log (- 1 y))) (* (log y) (- x 1)))) |
(* z (log (- 1 y))) |
(* z (+ (log (- 1 y)) (+ (* -1 (/ (log (- 1 y)) z)) (/ (* (log y) (- x 1)) z)))) |
(* z (+ (log (- 1 y)) (+ (* -1 (/ (log (- 1 y)) z)) (/ (* (log y) (- x 1)) z)))) |
(* z (+ (log (- 1 y)) (+ (* -1 (/ (log (- 1 y)) z)) (/ (* (log y) (- x 1)) z)))) |
(* z (log (- 1 y))) |
(* -1 (* z (+ (* -1 (log (- 1 y))) (* -1 (/ (+ (* -1 (log (- 1 y))) (* (log y) (- x 1))) z))))) |
(* -1 (* z (+ (* -1 (log (- 1 y))) (* -1 (/ (+ (* -1 (log (- 1 y))) (* (log y) (- x 1))) z))))) |
(* -1 (* z (+ (* -1 (log (- 1 y))) (* -1 (/ (+ (* -1 (log (- 1 y))) (* (log y) (- x 1))) z))))) |
(* -1 y) |
(* y (- (* -1/2 y) 1)) |
(* y (- (* y (- (* -1/3 y) 1/2)) 1)) |
(* y (- (* y (- (* y (- (* -1/4 y) 1/3)) 1/2)) 1)) |
(+ (log -1) (* -1 (log (/ 1 y)))) |
(- (+ (log -1) (* -1 (log (/ 1 y)))) (/ 1 y)) |
(+ (log -1) (+ (* -1 (log (/ 1 y))) (* -1 (/ (+ 1 (* 1/2 (/ 1 y))) y)))) |
(- (+ (log -1) (+ (* -1 (log (/ 1 y))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 y))) (pow y 2))))) (/ 1 y)) |
(* -1 (log (/ -1 y))) |
(- (* -1 (log (/ -1 y))) (/ 1 y)) |
(+ (* -1 (log (/ -1 y))) (* -1 (/ (+ 1 (* 1/2 (/ 1 y))) y))) |
(+ (* -1 (log (/ -1 y))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow y 2)) (* 1/2 (/ 1 y)))) y))) |
(- (+ (* -1 (log y)) (* (log (- 1 y)) (- z 1))) t) |
(- (+ (* -1 (log y)) (+ (* x (log y)) (* (log (- 1 y)) (- z 1)))) t) |
(- (+ (* -1 (log y)) (+ (* x (log y)) (* (log (- 1 y)) (- z 1)))) t) |
(- (+ (* -1 (log y)) (+ (* x (log y)) (* (log (- 1 y)) (- z 1)))) t) |
(* x (log y)) |
(* x (- (+ (log y) (+ (* -1 (/ (log y) x)) (/ (* (log (- 1 y)) (- z 1)) x))) (/ t x))) |
(* x (- (+ (log y) (+ (* -1 (/ (log y) x)) (/ (* (log (- 1 y)) (- z 1)) x))) (/ t x))) |
(* x (- (+ (log y) (+ (* -1 (/ (log y) x)) (/ (* (log (- 1 y)) (- z 1)) x))) (/ t x))) |
(* x (log y)) |
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (- (+ (* -1 (log y)) (* (log (- 1 y)) (- z 1))) t) x))))) |
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (- (+ (* -1 (log y)) (* (log (- 1 y)) (- z 1))) t) x))))) |
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (- (+ (* -1 (log y)) (* (log (- 1 y)) (- z 1))) t) x))))) |
(- (* (log y) (- x 1)) t) |
(- (+ (* -1 (* y (- z 1))) (* (log y) (- x 1))) t) |
(- (+ (* y (+ (* -1 (- z 1)) (* -1/2 (* y (- z 1))))) (* (log y) (- x 1))) t) |
(- (+ (* y (+ (* -1 (- z 1)) (* y (+ (* -1/2 (- z 1)) (* -1/3 (* y (- z 1))))))) (* (log y) (- x 1))) t) |
(- (+ (* -1 (* (log (/ 1 y)) (- x 1))) (* (+ (log -1) (* -1 (log (/ 1 y)))) (- z 1))) t) |
(- (+ (* -1 (* (log (/ 1 y)) (- x 1))) (+ (* -1 (/ (- z 1) y)) (* (+ (log -1) (* -1 (log (/ 1 y)))) (- z 1)))) t) |
(- (+ (* -1 (* (log (/ 1 y)) (- x 1))) (+ (* -1 (/ (- z 1) y)) (+ (* -1/2 (/ (- z 1) (pow y 2))) (* (+ (log -1) (* -1 (log (/ 1 y)))) (- z 1))))) t) |
(- (+ (* -1 (* (log (/ 1 y)) (- x 1))) (+ (* -1 (/ (- z 1) y)) (+ (* -1/2 (/ (- z 1) (pow y 2))) (+ (* -1/3 (/ (- z 1) (pow y 3))) (* (+ (log -1) (* -1 (log (/ 1 y)))) (- z 1)))))) t) |
(- (+ (* -1 (* (log (/ -1 y)) (- z 1))) (* (+ (log -1) (* -1 (log (/ -1 y)))) (- x 1))) t) |
(- (+ (* -1 (* (log (/ -1 y)) (- z 1))) (+ (* -1 (/ (- z 1) y)) (* (+ (log -1) (* -1 (log (/ -1 y)))) (- x 1)))) t) |
(- (+ (* -1 (* (log (/ -1 y)) (- z 1))) (+ (* -1 (/ (- (+ z (* 1/2 (/ (- z 1) y))) 1) y)) (* (+ (log -1) (* -1 (log (/ -1 y)))) (- x 1)))) t) |
(- (+ (* -1 (* (log (/ -1 y)) (- z 1))) (+ (* -1 (/ (- (+ z (* -1 (/ (+ (* -1/2 (- z 1)) (* -1/3 (/ (- z 1) y))) y))) 1) y)) (* (+ (log -1) (* -1 (log (/ -1 y)))) (- x 1)))) t) |
(- (+ (* -1 (log (- 1 y))) (* (log y) (- x 1))) t) |
(- (+ (* -1 (log (- 1 y))) (+ (* z (log (- 1 y))) (* (log y) (- x 1)))) t) |
(- (+ (* -1 (log (- 1 y))) (+ (* z (log (- 1 y))) (* (log y) (- x 1)))) t) |
(- (+ (* -1 (log (- 1 y))) (+ (* z (log (- 1 y))) (* (log y) (- x 1)))) t) |
(* z (log (- 1 y))) |
(* z (- (+ (log (- 1 y)) (+ (* -1 (/ (log (- 1 y)) z)) (/ (* (log y) (- x 1)) z))) (/ t z))) |
(* z (- (+ (log (- 1 y)) (+ (* -1 (/ (log (- 1 y)) z)) (/ (* (log y) (- x 1)) z))) (/ t z))) |
(* z (- (+ (log (- 1 y)) (+ (* -1 (/ (log (- 1 y)) z)) (/ (* (log y) (- x 1)) z))) (/ t z))) |
(* z (log (- 1 y))) |
(* -1 (* z (+ (* -1 (log (- 1 y))) (* -1 (/ (- (+ (* -1 (log (- 1 y))) (* (log y) (- x 1))) t) z))))) |
(* -1 (* z (+ (* -1 (log (- 1 y))) (* -1 (/ (- (+ (* -1 (log (- 1 y))) (* (log y) (- x 1))) t) z))))) |
(* -1 (* z (+ (* -1 (log (- 1 y))) (* -1 (/ (- (+ (* -1 (log (- 1 y))) (* (log y) (- x 1))) t) z))))) |
(+ (* (log y) (- x 1)) (* (log (- 1 y)) (- z 1))) |
(+ (* -1 t) (+ (* (log y) (- x 1)) (* (log (- 1 y)) (- z 1)))) |
(+ (* -1 t) (+ (* (log y) (- x 1)) (* (log (- 1 y)) (- z 1)))) |
(+ (* -1 t) (+ (* (log y) (- x 1)) (* (log (- 1 y)) (- z 1)))) |
(* -1 t) |
(* t (- (+ (/ (* (log y) (- x 1)) t) (/ (* (log (- 1 y)) (- z 1)) t)) 1)) |
(* t (- (+ (/ (* (log y) (- x 1)) t) (/ (* (log (- 1 y)) (- z 1)) t)) 1)) |
(* t (- (+ (/ (* (log y) (- x 1)) t) (/ (* (log (- 1 y)) (- z 1)) t)) 1)) |
(* -1 t) |
(* -1 (* t (+ 1 (* -1 (/ (+ (* (log y) (- x 1)) (* (log (- 1 y)) (- z 1))) t))))) |
(* -1 (* t (+ 1 (* -1 (/ (+ (* (log y) (- x 1)) (* (log (- 1 y)) (- z 1))) t))))) |
(* -1 (* t (+ 1 (* -1 (/ (+ (* (log y) (- x 1)) (* (log (- 1 y)) (- z 1))) t))))) |
(* -1 (log y)) |
(+ (* -1 (log y)) (* x (log y))) |
(+ (* -1 (log y)) (* x (log y))) |
(+ (* -1 (log y)) (* x (log y))) |
(* x (log y)) |
(* x (+ (log y) (* -1 (/ (log y) x)))) |
(* x (+ (log y) (* -1 (/ (log y) x)))) |
(* x (+ (log y) (* -1 (/ (log y) x)))) |
(* x (log y)) |
(* -1 (* x (+ (* -1 (log y)) (/ (log y) x)))) |
(* -1 (* x (+ (* -1 (log y)) (/ (log y) x)))) |
(* -1 (* x (+ (* -1 (log y)) (/ (log y) x)))) |
(* (log y) (- x 1)) |
(* (log y) (- x 1)) |
(* (log y) (- x 1)) |
(* (log y) (- x 1)) |
(* -1 (* (log (/ 1 y)) (- x 1))) |
(* -1 (* (log (/ 1 y)) (- x 1))) |
(* -1 (* (log (/ 1 y)) (- x 1))) |
(* -1 (* (log (/ 1 y)) (- x 1))) |
(* (+ (log -1) (* -1 (log (/ -1 y)))) (- x 1)) |
(* (+ (log -1) (* -1 (log (/ -1 y)))) (- x 1)) |
(* (+ (log -1) (* -1 (log (/ -1 y)))) (- x 1)) |
(* (+ (log -1) (* -1 (log (/ -1 y)))) (- x 1)) |
(* -1 (log (- 1 y))) |
(+ (* -1 (log (- 1 y))) (* z (log (- 1 y)))) |
(+ (* -1 (log (- 1 y))) (* z (log (- 1 y)))) |
(+ (* -1 (log (- 1 y))) (* z (log (- 1 y)))) |
(* z (log (- 1 y))) |
(* z (+ (log (- 1 y)) (* -1 (/ (log (- 1 y)) z)))) |
(* z (+ (log (- 1 y)) (* -1 (/ (log (- 1 y)) z)))) |
(* z (+ (log (- 1 y)) (* -1 (/ (log (- 1 y)) z)))) |
(* z (log (- 1 y))) |
(* -1 (* z (+ (* -1 (log (- 1 y))) (/ (log (- 1 y)) z)))) |
(* -1 (* z (+ (* -1 (log (- 1 y))) (/ (log (- 1 y)) z)))) |
(* -1 (* z (+ (* -1 (log (- 1 y))) (/ (log (- 1 y)) z)))) |
(* -1 (* y (- z 1))) |
(* y (+ (* -1 (- z 1)) (* -1/2 (* y (- z 1))))) |
(* y (+ (* -1 (- z 1)) (* y (+ (* -1/2 (- z 1)) (* -1/3 (* y (- z 1))))))) |
(* y (+ (* -1 (- z 1)) (* y (+ (* -1/2 (- z 1)) (* y (+ (* -1/3 (- z 1)) (* -1/4 (* y (- z 1))))))))) |
(* (+ (log -1) (* -1 (log (/ 1 y)))) (- z 1)) |
(+ (* -1 (/ (- z 1) y)) (* (+ (log -1) (* -1 (log (/ 1 y)))) (- z 1))) |
(+ (* -1 (/ (- z 1) y)) (+ (* -1/2 (/ (- z 1) (pow y 2))) (* (+ (log -1) (* -1 (log (/ 1 y)))) (- z 1)))) |
(+ (* -1 (/ (- z 1) y)) (+ (* -1/2 (/ (- z 1) (pow y 2))) (+ (* -1/3 (/ (- z 1) (pow y 3))) (* (+ (log -1) (* -1 (log (/ 1 y)))) (- z 1))))) |
(* -1 (* (log (/ -1 y)) (- z 1))) |
(+ (* -1 (* (log (/ -1 y)) (- z 1))) (* -1 (/ (- z 1) y))) |
(+ (* -1 (* (log (/ -1 y)) (- z 1))) (* -1 (/ (- (+ z (* 1/2 (/ (- z 1) y))) 1) y))) |
(+ (* -1 (* (log (/ -1 y)) (- z 1))) (* -1 (/ (- (+ z (* -1 (/ (+ (* -1/2 (- z 1)) (* -1/3 (/ (- z 1) y))) y))) 1) y))) |
| Outputs |
|---|
(+ (* -1 (log y)) (* (log (- 1 y)) (- z 1))) |
(-.f64 (*.f64 (log1p.f64 (neg.f64 y)) (+.f64 #s(literal -1 binary64) z)) (log.f64 y)) |
(+ (* -1 (log y)) (+ (* x (log y)) (* (log (- 1 y)) (- z 1)))) |
(fma.f64 (log.f64 y) (+.f64 #s(literal -1 binary64) x) (*.f64 (log1p.f64 (neg.f64 y)) (+.f64 #s(literal -1 binary64) z))) |
(+ (* -1 (log y)) (+ (* x (log y)) (* (log (- 1 y)) (- z 1)))) |
(fma.f64 (log.f64 y) (+.f64 #s(literal -1 binary64) x) (*.f64 (log1p.f64 (neg.f64 y)) (+.f64 #s(literal -1 binary64) z))) |
(+ (* -1 (log y)) (+ (* x (log y)) (* (log (- 1 y)) (- z 1)))) |
(fma.f64 (log.f64 y) (+.f64 #s(literal -1 binary64) x) (*.f64 (log1p.f64 (neg.f64 y)) (+.f64 #s(literal -1 binary64) z))) |
(* x (log y)) |
(*.f64 (log.f64 y) x) |
(* x (+ (log y) (+ (* -1 (/ (log y) x)) (/ (* (log (- 1 y)) (- z 1)) x)))) |
(*.f64 x (fma.f64 (log.f64 y) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (*.f64 (log1p.f64 (neg.f64 y)) (/.f64 (+.f64 #s(literal -1 binary64) z) x)))) |
(* x (+ (log y) (+ (* -1 (/ (log y) x)) (/ (* (log (- 1 y)) (- z 1)) x)))) |
(*.f64 x (fma.f64 (log.f64 y) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (*.f64 (log1p.f64 (neg.f64 y)) (/.f64 (+.f64 #s(literal -1 binary64) z) x)))) |
(* x (+ (log y) (+ (* -1 (/ (log y) x)) (/ (* (log (- 1 y)) (- z 1)) x)))) |
(*.f64 x (fma.f64 (log.f64 y) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (*.f64 (log1p.f64 (neg.f64 y)) (/.f64 (+.f64 #s(literal -1 binary64) z) x)))) |
(* x (log y)) |
(*.f64 (log.f64 y) x) |
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (+ (* -1 (log y)) (* (log (- 1 y)) (- z 1))) x))))) |
(*.f64 x (fma.f64 (log.f64 y) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (*.f64 (log1p.f64 (neg.f64 y)) (/.f64 (+.f64 #s(literal -1 binary64) z) x)))) |
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (+ (* -1 (log y)) (* (log (- 1 y)) (- z 1))) x))))) |
(*.f64 x (fma.f64 (log.f64 y) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (*.f64 (log1p.f64 (neg.f64 y)) (/.f64 (+.f64 #s(literal -1 binary64) z) x)))) |
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (+ (* -1 (log y)) (* (log (- 1 y)) (- z 1))) x))))) |
(*.f64 x (fma.f64 (log.f64 y) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (*.f64 (log1p.f64 (neg.f64 y)) (/.f64 (+.f64 #s(literal -1 binary64) z) x)))) |
(* (log y) (- x 1)) |
(*.f64 (log.f64 y) (+.f64 #s(literal -1 binary64) x)) |
(+ (* -1 (* y (- z 1))) (* (log y) (- x 1))) |
(fma.f64 y (-.f64 #s(literal 1 binary64) z) (*.f64 (log.f64 y) (+.f64 #s(literal -1 binary64) x))) |
(+ (* y (+ (* -1 (- z 1)) (* -1/2 (* y (- z 1))))) (* (log y) (- x 1))) |
(fma.f64 y (*.f64 (+.f64 #s(literal -1 binary64) z) (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))) (*.f64 (log.f64 y) (+.f64 #s(literal -1 binary64) x))) |
(+ (* y (+ (* -1 (- z 1)) (* y (+ (* -1/2 (- z 1)) (* -1/3 (* y (- z 1))))))) (* (log y) (- x 1))) |
(fma.f64 y (fma.f64 y (*.f64 (+.f64 #s(literal -1 binary64) z) (fma.f64 y #s(literal -1/3 binary64) #s(literal -1/2 binary64))) (-.f64 #s(literal 1 binary64) z)) (*.f64 (log.f64 y) (+.f64 #s(literal -1 binary64) x))) |
(+ (* -1 (* (log (/ 1 y)) (- x 1))) (* (+ (log -1) (* -1 (log (/ 1 y)))) (- z 1))) |
(fma.f64 (+.f64 #s(literal -1 binary64) z) (+.f64 (log.f64 y) (log.f64 #s(literal -1 binary64))) (*.f64 (log.f64 y) (+.f64 #s(literal -1 binary64) x))) |
(+ (* -1 (* (log (/ 1 y)) (- x 1))) (+ (* -1 (/ (- z 1) y)) (* (+ (log -1) (* -1 (log (/ 1 y)))) (- z 1)))) |
(fma.f64 (+.f64 #s(literal -1 binary64) z) (+.f64 (log.f64 y) (+.f64 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y))) (*.f64 (log.f64 y) (+.f64 #s(literal -1 binary64) x))) |
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(* -1 t) |
(neg.f64 t) |
(* t (- (+ (/ (* (log y) (- x 1)) t) (/ (* (log (- 1 y)) (- z 1)) t)) 1)) |
(*.f64 t (fma.f64 (log1p.f64 (neg.f64 y)) (/.f64 (+.f64 #s(literal -1 binary64) z) t) (fma.f64 (log.f64 y) (/.f64 (+.f64 #s(literal -1 binary64) x) t) #s(literal -1 binary64)))) |
(* t (- (+ (/ (* (log y) (- x 1)) t) (/ (* (log (- 1 y)) (- z 1)) t)) 1)) |
(*.f64 t (fma.f64 (log1p.f64 (neg.f64 y)) (/.f64 (+.f64 #s(literal -1 binary64) z) t) (fma.f64 (log.f64 y) (/.f64 (+.f64 #s(literal -1 binary64) x) t) #s(literal -1 binary64)))) |
(* t (- (+ (/ (* (log y) (- x 1)) t) (/ (* (log (- 1 y)) (- z 1)) t)) 1)) |
(*.f64 t (fma.f64 (log1p.f64 (neg.f64 y)) (/.f64 (+.f64 #s(literal -1 binary64) z) t) (fma.f64 (log.f64 y) (/.f64 (+.f64 #s(literal -1 binary64) x) t) #s(literal -1 binary64)))) |
(* -1 t) |
(neg.f64 t) |
(* -1 (* t (+ 1 (* -1 (/ (+ (* (log y) (- x 1)) (* (log (- 1 y)) (- z 1))) t))))) |
(-.f64 (*.f64 t (/.f64 (fma.f64 (log.f64 y) (+.f64 #s(literal -1 binary64) x) (*.f64 (log1p.f64 (neg.f64 y)) (+.f64 #s(literal -1 binary64) z))) t)) t) |
(* -1 (* t (+ 1 (* -1 (/ (+ (* (log y) (- x 1)) (* (log (- 1 y)) (- z 1))) t))))) |
(-.f64 (*.f64 t (/.f64 (fma.f64 (log.f64 y) (+.f64 #s(literal -1 binary64) x) (*.f64 (log1p.f64 (neg.f64 y)) (+.f64 #s(literal -1 binary64) z))) t)) t) |
(* -1 (* t (+ 1 (* -1 (/ (+ (* (log y) (- x 1)) (* (log (- 1 y)) (- z 1))) t))))) |
(-.f64 (*.f64 t (/.f64 (fma.f64 (log.f64 y) (+.f64 #s(literal -1 binary64) x) (*.f64 (log1p.f64 (neg.f64 y)) (+.f64 #s(literal -1 binary64) z))) t)) t) |
(* -1 (log y)) |
(neg.f64 (log.f64 y)) |
(+ (* -1 (log y)) (* x (log y))) |
(*.f64 (log.f64 y) (+.f64 #s(literal -1 binary64) x)) |
(+ (* -1 (log y)) (* x (log y))) |
(*.f64 (log.f64 y) (+.f64 #s(literal -1 binary64) x)) |
(+ (* -1 (log y)) (* x (log y))) |
(*.f64 (log.f64 y) (+.f64 #s(literal -1 binary64) x)) |
(* x (log y)) |
(*.f64 (log.f64 y) x) |
(* x (+ (log y) (* -1 (/ (log y) x)))) |
(*.f64 x (*.f64 (log.f64 y) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))) |
(* x (+ (log y) (* -1 (/ (log y) x)))) |
(*.f64 x (*.f64 (log.f64 y) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))) |
(* x (+ (log y) (* -1 (/ (log y) x)))) |
(*.f64 x (*.f64 (log.f64 y) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))) |
(* x (log y)) |
(*.f64 (log.f64 y) x) |
(* -1 (* x (+ (* -1 (log y)) (/ (log y) x)))) |
(*.f64 x (*.f64 (log.f64 y) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))) |
(* -1 (* x (+ (* -1 (log y)) (/ (log y) x)))) |
(*.f64 x (*.f64 (log.f64 y) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))) |
(* -1 (* x (+ (* -1 (log y)) (/ (log y) x)))) |
(*.f64 x (*.f64 (log.f64 y) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))) |
(* (log y) (- x 1)) |
(*.f64 (log.f64 y) (+.f64 #s(literal -1 binary64) x)) |
(* (log y) (- x 1)) |
(*.f64 (log.f64 y) (+.f64 #s(literal -1 binary64) x)) |
(* (log y) (- x 1)) |
(*.f64 (log.f64 y) (+.f64 #s(literal -1 binary64) x)) |
(* (log y) (- x 1)) |
(*.f64 (log.f64 y) (+.f64 #s(literal -1 binary64) x)) |
(* -1 (* (log (/ 1 y)) (- x 1))) |
(*.f64 (log.f64 y) (+.f64 #s(literal -1 binary64) x)) |
(* -1 (* (log (/ 1 y)) (- x 1))) |
(*.f64 (log.f64 y) (+.f64 #s(literal -1 binary64) x)) |
(* -1 (* (log (/ 1 y)) (- x 1))) |
(*.f64 (log.f64 y) (+.f64 #s(literal -1 binary64) x)) |
(* -1 (* (log (/ 1 y)) (- x 1))) |
(*.f64 (log.f64 y) (+.f64 #s(literal -1 binary64) x)) |
(* (+ (log -1) (* -1 (log (/ -1 y)))) (- x 1)) |
(*.f64 (+.f64 #s(literal -1 binary64) x) (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 y))))) |
(* (+ (log -1) (* -1 (log (/ -1 y)))) (- x 1)) |
(*.f64 (+.f64 #s(literal -1 binary64) x) (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 y))))) |
(* (+ (log -1) (* -1 (log (/ -1 y)))) (- x 1)) |
(*.f64 (+.f64 #s(literal -1 binary64) x) (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 y))))) |
(* (+ (log -1) (* -1 (log (/ -1 y)))) (- x 1)) |
(*.f64 (+.f64 #s(literal -1 binary64) x) (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 y))))) |
(* -1 (log (- 1 y))) |
(neg.f64 (log1p.f64 (neg.f64 y))) |
(+ (* -1 (log (- 1 y))) (* z (log (- 1 y)))) |
(*.f64 (log1p.f64 (neg.f64 y)) (+.f64 #s(literal -1 binary64) z)) |
(+ (* -1 (log (- 1 y))) (* z (log (- 1 y)))) |
(*.f64 (log1p.f64 (neg.f64 y)) (+.f64 #s(literal -1 binary64) z)) |
(+ (* -1 (log (- 1 y))) (* z (log (- 1 y)))) |
(*.f64 (log1p.f64 (neg.f64 y)) (+.f64 #s(literal -1 binary64) z)) |
(* z (log (- 1 y))) |
(*.f64 (log1p.f64 (neg.f64 y)) z) |
(* z (+ (log (- 1 y)) (* -1 (/ (log (- 1 y)) z)))) |
(*.f64 z (-.f64 (log1p.f64 (neg.f64 y)) (/.f64 (log1p.f64 (neg.f64 y)) z))) |
(* z (+ (log (- 1 y)) (* -1 (/ (log (- 1 y)) z)))) |
(*.f64 z (-.f64 (log1p.f64 (neg.f64 y)) (/.f64 (log1p.f64 (neg.f64 y)) z))) |
(* z (+ (log (- 1 y)) (* -1 (/ (log (- 1 y)) z)))) |
(*.f64 z (-.f64 (log1p.f64 (neg.f64 y)) (/.f64 (log1p.f64 (neg.f64 y)) z))) |
(* z (log (- 1 y))) |
(*.f64 (log1p.f64 (neg.f64 y)) z) |
(* -1 (* z (+ (* -1 (log (- 1 y))) (/ (log (- 1 y)) z)))) |
(*.f64 z (-.f64 (log1p.f64 (neg.f64 y)) (/.f64 (log1p.f64 (neg.f64 y)) z))) |
(* -1 (* z (+ (* -1 (log (- 1 y))) (/ (log (- 1 y)) z)))) |
(*.f64 z (-.f64 (log1p.f64 (neg.f64 y)) (/.f64 (log1p.f64 (neg.f64 y)) z))) |
(* -1 (* z (+ (* -1 (log (- 1 y))) (/ (log (- 1 y)) z)))) |
(*.f64 z (-.f64 (log1p.f64 (neg.f64 y)) (/.f64 (log1p.f64 (neg.f64 y)) z))) |
(* -1 (* y (- z 1))) |
(*.f64 y (-.f64 #s(literal 1 binary64) z)) |
(* y (+ (* -1 (- z 1)) (* -1/2 (* y (- z 1))))) |
(*.f64 (+.f64 #s(literal -1 binary64) z) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)))) |
(* y (+ (* -1 (- z 1)) (* y (+ (* -1/2 (- z 1)) (* -1/3 (* y (- z 1))))))) |
(*.f64 y (fma.f64 y (*.f64 (+.f64 #s(literal -1 binary64) z) (fma.f64 y #s(literal -1/3 binary64) #s(literal -1/2 binary64))) (-.f64 #s(literal 1 binary64) z))) |
(* y (+ (* -1 (- z 1)) (* y (+ (* -1/2 (- z 1)) (* y (+ (* -1/3 (- z 1)) (* -1/4 (* y (- z 1))))))))) |
(*.f64 y (fma.f64 y (fma.f64 y (*.f64 (+.f64 #s(literal -1 binary64) z) (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/3 binary64))) (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (-.f64 #s(literal 1 binary64) z))) |
(* (+ (log -1) (* -1 (log (/ 1 y)))) (- z 1)) |
(*.f64 (+.f64 #s(literal -1 binary64) z) (+.f64 (log.f64 y) (log.f64 #s(literal -1 binary64)))) |
(+ (* -1 (/ (- z 1) y)) (* (+ (log -1) (* -1 (log (/ 1 y)))) (- z 1))) |
(*.f64 (+.f64 #s(literal -1 binary64) z) (+.f64 (log.f64 y) (+.f64 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y)))) |
(+ (* -1 (/ (- z 1) y)) (+ (* -1/2 (/ (- z 1) (pow y 2))) (* (+ (log -1) (* -1 (log (/ 1 y)))) (- z 1)))) |
(fma.f64 (+.f64 #s(literal -1 binary64) z) (+.f64 (log.f64 y) (log.f64 #s(literal -1 binary64))) (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) z) y) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) y)))) |
(+ (* -1 (/ (- z 1) y)) (+ (* -1/2 (/ (- z 1) (pow y 2))) (+ (* -1/3 (/ (- z 1) (pow y 3))) (* (+ (log -1) (* -1 (log (/ 1 y)))) (- z 1))))) |
(fma.f64 (+.f64 #s(literal -1 binary64) z) (+.f64 (log.f64 y) (+.f64 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y))) (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) z) (*.f64 y y)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/3 binary64) y)))) |
(* -1 (* (log (/ -1 y)) (- z 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (neg.f64 (log.f64 (neg.f64 y)))) |
(+ (* -1 (* (log (/ -1 y)) (- z 1))) (* -1 (/ (- z 1) y))) |
(*.f64 (+.f64 #s(literal -1 binary64) z) (-.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (log.f64 (neg.f64 y))))) |
(+ (* -1 (* (log (/ -1 y)) (- z 1))) (* -1 (/ (- (+ z (* 1/2 (/ (- z 1) y))) 1) y))) |
(fma.f64 (-.f64 #s(literal 1 binary64) z) (neg.f64 (log.f64 (neg.f64 y))) (neg.f64 (/.f64 (+.f64 z (+.f64 #s(literal -1 binary64) (/.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal -1/2 binary64)) y))) y))) |
(+ (* -1 (* (log (/ -1 y)) (- z 1))) (* -1 (/ (- (+ z (* -1 (/ (+ (* -1/2 (- z 1)) (* -1/3 (/ (- z 1) y))) y))) 1) y))) |
(-.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (neg.f64 (log.f64 (neg.f64 y)))) (/.f64 (-.f64 (+.f64 #s(literal -1 binary64) z) (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) z) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/3 binary64) y))) y)) y)) |
| 1× | batch-egg-rewrite |
| 9 524× | lower-fma.f64 |
| 9 524× | lower-fma.f32 |
| 5 586× | lower-*.f32 |
| 5 582× | lower-*.f64 |
| 4 212× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 50 |
| 0 | 23 | 50 |
| 1 | 95 | 50 |
| 2 | 757 | 50 |
| 0 | 8471 | 44 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y)) (*.f64 (-.f64 z #s(literal 1 binary64)) (log.f64 (-.f64 #s(literal 1 binary64) y)))) |
(log.f64 (-.f64 #s(literal 1 binary64) y)) |
(-.f64 (+.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y)) (*.f64 (-.f64 z #s(literal 1 binary64)) (log.f64 (-.f64 #s(literal 1 binary64) y)))) t) |
(*.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y)) |
(*.f64 (-.f64 z #s(literal 1 binary64)) (log.f64 (-.f64 #s(literal 1 binary64) y))) |
| Outputs |
|---|
(+.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (log.f64 y)) (*.f64 (+.f64 z #s(literal -1 binary64)) (log1p.f64 (neg.f64 y)))) |
(+.f64 (*.f64 (+.f64 z #s(literal -1 binary64)) (log1p.f64 (neg.f64 y))) (*.f64 (+.f64 x #s(literal -1 binary64)) (log.f64 y))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (log.f64 y)) #s(literal 2 binary64)) (fma.f64 (+.f64 x #s(literal -1 binary64)) (log.f64 y) (*.f64 (log1p.f64 (neg.f64 y)) (-.f64 #s(literal 1 binary64) z)))) (neg.f64 (/.f64 (pow.f64 (*.f64 (+.f64 z #s(literal -1 binary64)) (log1p.f64 (neg.f64 y))) #s(literal 2 binary64)) (fma.f64 (+.f64 x #s(literal -1 binary64)) (log.f64 y) (*.f64 (log1p.f64 (neg.f64 y)) (-.f64 #s(literal 1 binary64) z)))))) |
(+.f64 (*.f64 (log1p.f64 (neg.f64 y)) z) (fma.f64 (log1p.f64 (neg.f64 y)) #s(literal -1 binary64) (*.f64 (+.f64 x #s(literal -1 binary64)) (log.f64 y)))) |
(+.f64 (*.f64 (log.f64 y) x) (fma.f64 (log.f64 y) #s(literal -1 binary64) (*.f64 (+.f64 z #s(literal -1 binary64)) (log1p.f64 (neg.f64 y))))) |
(+.f64 (*.f64 z (log1p.f64 (neg.f64 y))) (+.f64 (neg.f64 (log1p.f64 (neg.f64 y))) (*.f64 (+.f64 x #s(literal -1 binary64)) (log.f64 y)))) |
(+.f64 (*.f64 x (log.f64 y)) (+.f64 (neg.f64 (log.f64 y)) (*.f64 (+.f64 z #s(literal -1 binary64)) (log1p.f64 (neg.f64 y))))) |
(+.f64 (fma.f64 (+.f64 x #s(literal -1 binary64)) (log.f64 y) (*.f64 (log1p.f64 (neg.f64 y)) z)) (*.f64 (log1p.f64 (neg.f64 y)) #s(literal -1 binary64))) |
(+.f64 (fma.f64 (+.f64 x #s(literal -1 binary64)) (log.f64 y) (*.f64 z (log1p.f64 (neg.f64 y)))) (neg.f64 (log1p.f64 (neg.f64 y)))) |
(+.f64 (fma.f64 (+.f64 z #s(literal -1 binary64)) (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x)) (*.f64 (log.f64 y) #s(literal -1 binary64))) |
(+.f64 (fma.f64 (+.f64 z #s(literal -1 binary64)) (log1p.f64 (neg.f64 y)) (*.f64 x (log.f64 y))) (neg.f64 (log.f64 y))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (log.f64 y)) #s(literal 2 binary64)) (fma.f64 (+.f64 x #s(literal -1 binary64)) (log.f64 y) (*.f64 (log1p.f64 (neg.f64 y)) (-.f64 #s(literal 1 binary64) z)))) (/.f64 (pow.f64 (*.f64 (+.f64 z #s(literal -1 binary64)) (log1p.f64 (neg.f64 y))) #s(literal 2 binary64)) (fma.f64 (+.f64 x #s(literal -1 binary64)) (log.f64 y) (*.f64 (log1p.f64 (neg.f64 y)) (-.f64 #s(literal 1 binary64) z))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (+.f64 z #s(literal -1 binary64)) (log1p.f64 (neg.f64 y))) #s(literal 2 binary64)) (-.f64 (*.f64 (+.f64 z #s(literal -1 binary64)) (log1p.f64 (neg.f64 y))) (*.f64 (+.f64 x #s(literal -1 binary64)) (log.f64 y)))) (/.f64 (pow.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (log.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 (+.f64 z #s(literal -1 binary64)) (log1p.f64 (neg.f64 y))) (*.f64 (+.f64 x #s(literal -1 binary64)) (log.f64 y))))) |
(fma.f64 x (log.f64 y) (+.f64 (neg.f64 (log.f64 y)) (*.f64 (+.f64 z #s(literal -1 binary64)) (log1p.f64 (neg.f64 y))))) |
(fma.f64 x (*.f64 #s(literal 1 binary64) (log.f64 y)) (+.f64 (neg.f64 (log.f64 y)) (*.f64 (+.f64 z #s(literal -1 binary64)) (log1p.f64 (neg.f64 y))))) |
(fma.f64 #s(literal 1 binary64) (*.f64 z (log1p.f64 (neg.f64 y))) (+.f64 (neg.f64 (log1p.f64 (neg.f64 y))) (*.f64 (+.f64 x #s(literal -1 binary64)) (log.f64 y)))) |
(fma.f64 #s(literal 1 binary64) (*.f64 x (log.f64 y)) (+.f64 (neg.f64 (log.f64 y)) (*.f64 (+.f64 z #s(literal -1 binary64)) (log1p.f64 (neg.f64 y))))) |
(fma.f64 (+.f64 x #s(literal -1 binary64)) (log.f64 y) (*.f64 (+.f64 z #s(literal -1 binary64)) (log1p.f64 (neg.f64 y)))) |
(fma.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 (log.f64 y) #s(literal 1 binary64)) (*.f64 (+.f64 z #s(literal -1 binary64)) (log1p.f64 (neg.f64 y)))) |
(fma.f64 (log.f64 y) x (fma.f64 (log.f64 y) #s(literal -1 binary64) (*.f64 (+.f64 z #s(literal -1 binary64)) (log1p.f64 (neg.f64 y))))) |
(fma.f64 (log.f64 y) (+.f64 x #s(literal -1 binary64)) (*.f64 (+.f64 z #s(literal -1 binary64)) (log1p.f64 (neg.f64 y)))) |
(fma.f64 z (log1p.f64 (neg.f64 y)) (+.f64 (neg.f64 (log1p.f64 (neg.f64 y))) (*.f64 (+.f64 x #s(literal -1 binary64)) (log.f64 y)))) |
(fma.f64 z (*.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 y))) (+.f64 (neg.f64 (log1p.f64 (neg.f64 y))) (*.f64 (+.f64 x #s(literal -1 binary64)) (log.f64 y)))) |
(fma.f64 (+.f64 z #s(literal -1 binary64)) (log1p.f64 (neg.f64 y)) (*.f64 (+.f64 x #s(literal -1 binary64)) (log.f64 y))) |
(fma.f64 (+.f64 z #s(literal -1 binary64)) (/.f64 (log1p.f64 (neg.f64 y)) #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) (log.f64 y))) |
(fma.f64 (log1p.f64 (neg.f64 y)) z (fma.f64 (log1p.f64 (neg.f64 y)) #s(literal -1 binary64) (*.f64 (+.f64 x #s(literal -1 binary64)) (log.f64 y)))) |
(fma.f64 (log1p.f64 (neg.f64 y)) (+.f64 z #s(literal -1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) (log.f64 y))) |
(fma.f64 (pow.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (log.f64 y)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x #s(literal -1 binary64)) (log.f64 y) (*.f64 (log1p.f64 (neg.f64 y)) (-.f64 #s(literal 1 binary64) z)))) (neg.f64 (/.f64 (pow.f64 (*.f64 (+.f64 z #s(literal -1 binary64)) (log1p.f64 (neg.f64 y))) #s(literal 2 binary64)) (fma.f64 (+.f64 x #s(literal -1 binary64)) (log.f64 y) (*.f64 (log1p.f64 (neg.f64 y)) (-.f64 #s(literal 1 binary64) z)))))) |
(fma.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x #s(literal 1 binary64)) x)) (log.f64 y)) (*.f64 (+.f64 z #s(literal -1 binary64)) (log1p.f64 (neg.f64 y)))) |
(fma.f64 (fma.f64 z (*.f64 z z) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 z z #s(literal 1 binary64)) z)) (log1p.f64 (neg.f64 y))) (*.f64 (+.f64 x #s(literal -1 binary64)) (log.f64 y))) |
(fma.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (log.f64 y)) (*.f64 (+.f64 z #s(literal -1 binary64)) (log1p.f64 (neg.f64 y)))) |
(fma.f64 (fma.f64 z z #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) z)) (log1p.f64 (neg.f64 y))) (*.f64 (+.f64 x #s(literal -1 binary64)) (log.f64 y))) |
(fma.f64 (*.f64 (log1p.f64 (neg.f64 y)) z) #s(literal 1 binary64) (fma.f64 (log1p.f64 (neg.f64 y)) #s(literal -1 binary64) (*.f64 (+.f64 x #s(literal -1 binary64)) (log.f64 y)))) |
(fma.f64 (*.f64 (log.f64 y) x) #s(literal 1 binary64) (fma.f64 (log.f64 y) #s(literal -1 binary64) (*.f64 (+.f64 z #s(literal -1 binary64)) (log1p.f64 (neg.f64 y))))) |
(fma.f64 (*.f64 (log1p.f64 (neg.f64 y)) (fma.f64 z (*.f64 z z) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 z z #s(literal 1 binary64)) z)) (*.f64 (+.f64 x #s(literal -1 binary64)) (log.f64 y))) |
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(fma.f64 z (*.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 y))) (neg.f64 (log1p.f64 (neg.f64 y)))) |
(fma.f64 (log1p.f64 (neg.f64 y)) z (*.f64 (log1p.f64 (neg.f64 y)) #s(literal -1 binary64))) |
(fma.f64 (log1p.f64 (neg.f64 y)) #s(literal -1 binary64) (*.f64 (log1p.f64 (neg.f64 y)) z)) |
(fma.f64 #s(literal -1 binary64) (log1p.f64 (neg.f64 y)) (*.f64 z (log1p.f64 (neg.f64 y)))) |
(fma.f64 (*.f64 (log1p.f64 (neg.f64 y)) z) #s(literal 1 binary64) (*.f64 (log1p.f64 (neg.f64 y)) #s(literal -1 binary64))) |
(fma.f64 (*.f64 (log1p.f64 (neg.f64 y)) #s(literal 1 binary64)) z (*.f64 (log1p.f64 (neg.f64 y)) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fma.f64 z z #s(literal 1 binary64)) z) (*.f64 (log1p.f64 (neg.f64 y)) (fma.f64 z (*.f64 z z) #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) z) (*.f64 (log1p.f64 (neg.f64 y)) (fma.f64 z z #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fma.f64 z z #s(literal 1 binary64)) z) (*.f64 (fma.f64 z (*.f64 z z) #s(literal -1 binary64)) (log1p.f64 (neg.f64 y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) z) (*.f64 (fma.f64 z z #s(literal -1 binary64)) (log1p.f64 (neg.f64 y))))) |
(/.f64 (log1p.f64 (neg.f64 y)) (/.f64 #s(literal 1 binary64) (+.f64 z #s(literal -1 binary64)))) |
(/.f64 (*.f64 (+.f64 z #s(literal -1 binary64)) (log1p.f64 (neg.f64 y))) #s(literal 1 binary64)) |
(/.f64 (*.f64 (log1p.f64 (neg.f64 y)) (fma.f64 z (*.f64 z z) #s(literal -1 binary64))) (+.f64 (fma.f64 z z #s(literal 1 binary64)) z)) |
(/.f64 (*.f64 (log1p.f64 (neg.f64 y)) (fma.f64 z (*.f64 z z) #s(literal -1 binary64))) (-.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 z #s(literal -1 binary64)))) |
(/.f64 (*.f64 (log1p.f64 (neg.f64 y)) (fma.f64 z z #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) z)) |
(/.f64 (*.f64 (fma.f64 z (*.f64 z z) #s(literal -1 binary64)) (log1p.f64 (neg.f64 y))) (+.f64 (fma.f64 z z #s(literal 1 binary64)) z)) |
(/.f64 (*.f64 (fma.f64 z (*.f64 z z) #s(literal -1 binary64)) (log1p.f64 (neg.f64 y))) (-.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 z #s(literal -1 binary64)))) |
(/.f64 (*.f64 (fma.f64 z z #s(literal -1 binary64)) (log1p.f64 (neg.f64 y))) (+.f64 #s(literal 1 binary64) z)) |
(/.f64 (neg.f64 (*.f64 (log1p.f64 (neg.f64 y)) (fma.f64 z (*.f64 z z) #s(literal -1 binary64)))) (neg.f64 (+.f64 (fma.f64 z z #s(literal 1 binary64)) z))) |
(/.f64 (neg.f64 (*.f64 (log1p.f64 (neg.f64 y)) (fma.f64 z z #s(literal -1 binary64)))) (+.f64 #s(literal -1 binary64) (neg.f64 z))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 z (*.f64 z z) #s(literal -1 binary64)) (log1p.f64 (neg.f64 y)))) (neg.f64 (+.f64 (fma.f64 z z #s(literal 1 binary64)) z))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 z z #s(literal -1 binary64)) (log1p.f64 (neg.f64 y)))) (+.f64 #s(literal -1 binary64) (neg.f64 z))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (log1p.f64 (neg.f64 y)) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (log1p.f64 (neg.f64 y)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (log1p.f64 (neg.f64 y)) z) (*.f64 (log1p.f64 (neg.f64 y)) z) (-.f64 (*.f64 (*.f64 (log1p.f64 (neg.f64 y)) #s(literal -1 binary64)) (*.f64 (log1p.f64 (neg.f64 y)) #s(literal -1 binary64))) (*.f64 (*.f64 (log1p.f64 (neg.f64 y)) z) (*.f64 (log1p.f64 (neg.f64 y)) #s(literal -1 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 z (log1p.f64 (neg.f64 y))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (log1p.f64 (neg.f64 y))) #s(literal 3 binary64))) (fma.f64 (*.f64 z (log1p.f64 (neg.f64 y))) (*.f64 z (log1p.f64 (neg.f64 y))) (-.f64 (*.f64 (neg.f64 (log1p.f64 (neg.f64 y))) (neg.f64 (log1p.f64 (neg.f64 y)))) (*.f64 (*.f64 z (log1p.f64 (neg.f64 y))) (neg.f64 (log1p.f64 (neg.f64 y))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (log1p.f64 (neg.f64 y)) z) (*.f64 (log1p.f64 (neg.f64 y)) z)) (*.f64 (*.f64 (log1p.f64 (neg.f64 y)) #s(literal -1 binary64)) (*.f64 (log1p.f64 (neg.f64 y)) #s(literal -1 binary64)))) (-.f64 (*.f64 (log1p.f64 (neg.f64 y)) z) (*.f64 (log1p.f64 (neg.f64 y)) #s(literal -1 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 z (log1p.f64 (neg.f64 y))) (*.f64 z (log1p.f64 (neg.f64 y)))) (*.f64 (neg.f64 (log1p.f64 (neg.f64 y))) (neg.f64 (log1p.f64 (neg.f64 y))))) (-.f64 (*.f64 z (log1p.f64 (neg.f64 y))) (neg.f64 (log1p.f64 (neg.f64 y))))) |
(/.f64 (*.f64 (log1p.f64 (neg.f64 y)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 z #s(literal -1 binary64)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 y))) (/.f64 #s(literal 1 binary64) (+.f64 z #s(literal -1 binary64)))) |
(/.f64 (*.f64 (log1p.f64 (neg.f64 y)) (neg.f64 (fma.f64 z (*.f64 z z) #s(literal -1 binary64)))) (neg.f64 (+.f64 (fma.f64 z z #s(literal 1 binary64)) z))) |
(/.f64 (*.f64 (log1p.f64 (neg.f64 y)) (neg.f64 (fma.f64 z z #s(literal -1 binary64)))) (+.f64 #s(literal -1 binary64) (neg.f64 z))) |
(/.f64 (*.f64 (neg.f64 (fma.f64 z (*.f64 z z) #s(literal -1 binary64))) (log1p.f64 (neg.f64 y))) (neg.f64 (+.f64 (fma.f64 z z #s(literal 1 binary64)) z))) |
(/.f64 (*.f64 (neg.f64 (fma.f64 z z #s(literal -1 binary64))) (log1p.f64 (neg.f64 y))) (+.f64 #s(literal -1 binary64) (neg.f64 z))) |
(*.f64 (+.f64 z #s(literal -1 binary64)) (log1p.f64 (neg.f64 y))) |
(*.f64 (+.f64 z #s(literal -1 binary64)) (/.f64 (log1p.f64 (neg.f64 y)) #s(literal 1 binary64))) |
(*.f64 (log1p.f64 (neg.f64 y)) (+.f64 z #s(literal -1 binary64))) |
(*.f64 (fma.f64 z (*.f64 z z) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 z z #s(literal 1 binary64)) z)) (log1p.f64 (neg.f64 y)))) |
(*.f64 (fma.f64 z z #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) z)) (log1p.f64 (neg.f64 y)))) |
(*.f64 (*.f64 (log1p.f64 (neg.f64 y)) (fma.f64 z (*.f64 z z) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 z z #s(literal 1 binary64)) z))) |
(*.f64 (*.f64 (log1p.f64 (neg.f64 y)) (fma.f64 z z #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) z))) |
(*.f64 (*.f64 (fma.f64 z (*.f64 z z) #s(literal -1 binary64)) (log1p.f64 (neg.f64 y))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 z z #s(literal 1 binary64)) z))) |
(*.f64 (*.f64 (fma.f64 z z #s(literal -1 binary64)) (log1p.f64 (neg.f64 y))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) z))) |
(*.f64 (/.f64 (log1p.f64 (neg.f64 y)) (+.f64 #s(literal 1 binary64) z)) (/.f64 (fma.f64 z z #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 (log1p.f64 (neg.f64 y)) (fma.f64 z (*.f64 z z) #s(literal -1 binary64))) (fma.f64 z (*.f64 (*.f64 z z) (*.f64 z (*.f64 z z))) (*.f64 (+.f64 #s(literal 1 binary64) z) (*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 #s(literal 1 binary64) z))))) (fma.f64 z (*.f64 z (*.f64 z z)) (*.f64 (+.f64 #s(literal 1 binary64) z) (-.f64 (+.f64 #s(literal 1 binary64) z) (*.f64 z z))))) |
(*.f64 (/.f64 (*.f64 (log1p.f64 (neg.f64 y)) (fma.f64 z (*.f64 z z) #s(literal -1 binary64))) (*.f64 (+.f64 (fma.f64 z z #s(literal 1 binary64)) z) (-.f64 (fma.f64 z z #s(literal -1 binary64)) z))) (-.f64 (fma.f64 z z #s(literal -1 binary64)) z)) |
(*.f64 (/.f64 (*.f64 (log1p.f64 (neg.f64 y)) (fma.f64 z z #s(literal -1 binary64))) (fma.f64 z z #s(literal -1 binary64))) (+.f64 z #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 (log1p.f64 (neg.f64 y)) (fma.f64 z z #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z)))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 z z) z))) |
(*.f64 (/.f64 (*.f64 (log1p.f64 (neg.f64 y)) (fma.f64 z z #s(literal -1 binary64))) (fma.f64 z (*.f64 z z) #s(literal 1 binary64))) (-.f64 (fma.f64 z z #s(literal 1 binary64)) z)) |
(*.f64 (/.f64 (*.f64 (log1p.f64 (neg.f64 y)) (fma.f64 z z #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 z z))) (-.f64 #s(literal 1 binary64) z)) |
(*.f64 (/.f64 (*.f64 (fma.f64 z (*.f64 z z) #s(literal -1 binary64)) (log1p.f64 (neg.f64 y))) (fma.f64 z (*.f64 (*.f64 z z) (*.f64 z (*.f64 z z))) (*.f64 (+.f64 #s(literal 1 binary64) z) (*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 #s(literal 1 binary64) z))))) (fma.f64 z (*.f64 z (*.f64 z z)) (*.f64 (+.f64 #s(literal 1 binary64) z) (-.f64 (+.f64 #s(literal 1 binary64) z) (*.f64 z z))))) |
(*.f64 (/.f64 (*.f64 (fma.f64 z (*.f64 z z) #s(literal -1 binary64)) (log1p.f64 (neg.f64 y))) (*.f64 (+.f64 (fma.f64 z z #s(literal 1 binary64)) z) (-.f64 (fma.f64 z z #s(literal -1 binary64)) z))) (-.f64 (fma.f64 z z #s(literal -1 binary64)) z)) |
(*.f64 (/.f64 (*.f64 (fma.f64 z z #s(literal -1 binary64)) (log1p.f64 (neg.f64 y))) (fma.f64 z z #s(literal -1 binary64))) (+.f64 z #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 (fma.f64 z z #s(literal -1 binary64)) (log1p.f64 (neg.f64 y))) (+.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z)))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 z z) z))) |
(*.f64 (/.f64 (*.f64 (fma.f64 z z #s(literal -1 binary64)) (log1p.f64 (neg.f64 y))) (fma.f64 z (*.f64 z z) #s(literal 1 binary64))) (-.f64 (fma.f64 z z #s(literal 1 binary64)) z)) |
(*.f64 (/.f64 (*.f64 (fma.f64 z z #s(literal -1 binary64)) (log1p.f64 (neg.f64 y))) (-.f64 #s(literal 1 binary64) (*.f64 z z))) (-.f64 #s(literal 1 binary64) z)) |
Compiled 21 670 to 1 790 computations (91.7% saved)
18 alts after pruning (18 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 611 | 18 | 629 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 612 | 18 | 630 |
| Status | Accuracy | Program |
|---|---|---|
| 73.6% | (fma.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (log.f64 y)) (fma.f64 (+.f64 z #s(literal -1 binary64)) (log1p.f64 (neg.f64 y)) (neg.f64 t))) | |
| 62.3% | (fma.f64 (*.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) (log.f64 y)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x #s(literal 1 binary64)) x)) (fma.f64 (+.f64 z #s(literal -1 binary64)) (log1p.f64 (neg.f64 y)) (neg.f64 t))) | |
| 73.2% | (fma.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (log.f64 y)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (fma.f64 (+.f64 z #s(literal -1 binary64)) (log1p.f64 (neg.f64 y)) (neg.f64 t))) | |
| ▶ | 99.5% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x #s(literal -1 binary64)) (log.f64 y) (fma.f64 (+.f64 z #s(literal -1 binary64)) (log1p.f64 (neg.f64 y)) (neg.f64 t))))) |
| 64.8% | (-.f64 (+.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (log.f64 y)) (+.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 z #s(literal 1 binary64)) (log.f64 (-.f64 #s(literal 1 binary64) y)))) t) | |
| 91.3% | (-.f64 (+.f64 (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) (*.f64 (-.f64 z #s(literal 1 binary64)) (log.f64 (-.f64 #s(literal 1 binary64) y)))) t) | |
| ▶ | 99.8% | (-.f64 (+.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y)) (*.f64 (-.f64 z #s(literal 1 binary64)) #s(approx (log (- 1 y)) (*.f64 y (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))))) t) |
| ▶ | 99.7% | (-.f64 (+.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y)) (*.f64 (-.f64 z #s(literal 1 binary64)) #s(approx (log (- 1 y)) (*.f64 y (fma.f64 y (fma.f64 y #s(literal -1/3 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)))))) t) |
| 99.6% | (-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (fma.f64 y (-.f64 #s(literal 1 binary64) z) (*.f64 (log.f64 y) (+.f64 #s(literal -1 binary64) x)))) t) | |
| 99.7% | (-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (fma.f64 y (*.f64 (+.f64 #s(literal -1 binary64) z) (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))) (*.f64 (log.f64 y) (+.f64 #s(literal -1 binary64) x)))) t) | |
| ▶ | 43.8% | (-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 (log1p.f64 (neg.f64 y)) z)) t) |
| 91.1% | (-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 (log.f64 y) (+.f64 #s(literal -1 binary64) x))) t) | |
| 73.3% | (-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 (log.f64 y) x)) t) | |
| 87.4% | #s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (-.f64 (*.f64 t (/.f64 (fma.f64 (log.f64 y) (+.f64 #s(literal -1 binary64) x) (*.f64 (log1p.f64 (neg.f64 y)) (+.f64 #s(literal -1 binary64) z))) t)) t)) | |
| 10.8% | #s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (*.f64 (log1p.f64 (neg.f64 y)) z)) | |
| 40.1% | #s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (*.f64 (log.f64 y) x)) | |
| 82.0% | #s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (*.f64 t (fma.f64 (log1p.f64 (neg.f64 y)) (/.f64 (+.f64 #s(literal -1 binary64) z) t) (fma.f64 (log.f64 y) (/.f64 (+.f64 #s(literal -1 binary64) x) t) #s(literal -1 binary64))))) | |
| ▶ | 35.5% | #s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (neg.f64 t)) |
Compiled 728 to 476 computations (34.6% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (+.f64 x #s(literal -1 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 (+.f64 x #s(literal -1 binary64)) (log.f64 y) (fma.f64 (+.f64 z #s(literal -1 binary64)) (log1p.f64 (neg.f64 y)) (neg.f64 t))) |
| ✓ | cost-diff | 128 | (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x #s(literal -1 binary64)) (log.f64 y) (fma.f64 (+.f64 z #s(literal -1 binary64)) (log1p.f64 (neg.f64 y)) (neg.f64 t)))) |
| ✓ | cost-diff | 1280 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x #s(literal -1 binary64)) (log.f64 y) (fma.f64 (+.f64 z #s(literal -1 binary64)) (log1p.f64 (neg.f64 y)) (neg.f64 t))))) |
| ✓ | cost-diff | 0 | (-.f64 x #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y)) |
| ✓ | cost-diff | 0 | (-.f64 (+.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y)) (*.f64 (-.f64 z #s(literal 1 binary64)) #s(approx (log (- 1 y)) (*.f64 y (fma.f64 y (fma.f64 y #s(literal -1/3 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)))))) t) |
| ✓ | cost-diff | 128 | (+.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y)) (*.f64 (-.f64 z #s(literal 1 binary64)) #s(approx (log (- 1 y)) (*.f64 y (fma.f64 y (fma.f64 y #s(literal -1/3 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)))))) |
| ✓ | cost-diff | 0 | (log1p.f64 (neg.f64 y)) |
| ✓ | cost-diff | 0 | (*.f64 (log1p.f64 (neg.f64 y)) z) |
| ✓ | cost-diff | 0 | #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 (log1p.f64 (neg.f64 y)) z)) |
| ✓ | cost-diff | 0 | (-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 (log1p.f64 (neg.f64 y)) z)) t) |
| ✓ | cost-diff | 0 | (neg.f64 t) |
| ✓ | cost-diff | 0 | #s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (neg.f64 t)) |
| ✓ | cost-diff | 0 | (-.f64 x #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y)) |
| ✓ | cost-diff | 0 | (-.f64 (+.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y)) (*.f64 (-.f64 z #s(literal 1 binary64)) #s(approx (log (- 1 y)) (*.f64 y (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))))) t) |
| ✓ | cost-diff | 128 | (+.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y)) (*.f64 (-.f64 z #s(literal 1 binary64)) #s(approx (log (- 1 y)) (*.f64 y (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))))) |
| 12 562× | lower-fma.f32 |
| 12 548× | lower-fma.f64 |
| 3 046× | lower-+.f32 |
| 3 038× | lower-+.f64 |
| 2 166× | lower--.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 50 | 439 |
| 0 | 85 | 423 |
| 1 | 167 | 423 |
| 2 | 345 | 423 |
| 3 | 949 | 423 |
| 4 | 2299 | 423 |
| 5 | 4904 | 423 |
| 6 | 6532 | 423 |
| 0 | 8227 | 416 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (+.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y)) (*.f64 (-.f64 z #s(literal 1 binary64)) #s(approx (log (- 1 y)) (*.f64 y (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))))) t) |
(+.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y)) (*.f64 (-.f64 z #s(literal 1 binary64)) #s(approx (log (- 1 y)) (*.f64 y (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y)) |
(-.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
(log.f64 y) |
y |
(*.f64 (-.f64 z #s(literal 1 binary64)) #s(approx (log (- 1 y)) (*.f64 y (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))))) |
(-.f64 z #s(literal 1 binary64)) |
z |
#s(approx (log (- 1 y)) (*.f64 y (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) |
(*.f64 y (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))) |
(fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) |
(fma.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) |
(fma.f64 y #s(literal -1/4 binary64) #s(literal -1/3 binary64)) |
#s(literal -1/4 binary64) |
#s(literal -1/3 binary64) |
#s(literal -1/2 binary64) |
#s(literal -1 binary64) |
t |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (neg.f64 t)) |
(neg.f64 t) |
t |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 (log1p.f64 (neg.f64 y)) z)) t) |
#s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 (log1p.f64 (neg.f64 y)) z)) |
(*.f64 (log1p.f64 (neg.f64 y)) z) |
(log1p.f64 (neg.f64 y)) |
(neg.f64 y) |
y |
z |
t |
(-.f64 (+.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y)) (*.f64 (-.f64 z #s(literal 1 binary64)) #s(approx (log (- 1 y)) (*.f64 y (fma.f64 y (fma.f64 y #s(literal -1/3 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)))))) t) |
(+.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y)) (*.f64 (-.f64 z #s(literal 1 binary64)) #s(approx (log (- 1 y)) (*.f64 y (fma.f64 y (fma.f64 y #s(literal -1/3 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)))))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y)) |
(-.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
(log.f64 y) |
y |
(*.f64 (-.f64 z #s(literal 1 binary64)) #s(approx (log (- 1 y)) (*.f64 y (fma.f64 y (fma.f64 y #s(literal -1/3 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))))) |
(-.f64 z #s(literal 1 binary64)) |
z |
#s(approx (log (- 1 y)) (*.f64 y (fma.f64 y (fma.f64 y #s(literal -1/3 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) |
(*.f64 y (fma.f64 y (fma.f64 y #s(literal -1/3 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))) |
(fma.f64 y (fma.f64 y #s(literal -1/3 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) |
(fma.f64 y #s(literal -1/3 binary64) #s(literal -1/2 binary64)) |
#s(literal -1/3 binary64) |
#s(literal -1/2 binary64) |
#s(literal -1 binary64) |
t |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x #s(literal -1 binary64)) (log.f64 y) (fma.f64 (+.f64 z #s(literal -1 binary64)) (log1p.f64 (neg.f64 y)) (neg.f64 t))))) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x #s(literal -1 binary64)) (log.f64 y) (fma.f64 (+.f64 z #s(literal -1 binary64)) (log1p.f64 (neg.f64 y)) (neg.f64 t)))) |
(fma.f64 (+.f64 x #s(literal -1 binary64)) (log.f64 y) (fma.f64 (+.f64 z #s(literal -1 binary64)) (log1p.f64 (neg.f64 y)) (neg.f64 t))) |
(+.f64 x #s(literal -1 binary64)) |
x |
#s(literal -1 binary64) |
(log.f64 y) |
y |
(fma.f64 (+.f64 z #s(literal -1 binary64)) (log1p.f64 (neg.f64 y)) (neg.f64 t)) |
(+.f64 z #s(literal -1 binary64)) |
z |
(log1p.f64 (neg.f64 y)) |
(neg.f64 y) |
(neg.f64 t) |
t |
| Outputs |
|---|
(-.f64 (+.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y)) (*.f64 (-.f64 z #s(literal 1 binary64)) #s(approx (log (- 1 y)) (*.f64 y (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))))) t) |
(fma.f64 (+.f64 z #s(literal -1 binary64)) #s(approx (log (- 1 y)) (*.f64 y (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) (fma.f64 (+.f64 x #s(literal -1 binary64)) (log.f64 y) (neg.f64 t))) |
(+.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y)) (*.f64 (-.f64 z #s(literal 1 binary64)) #s(approx (log (- 1 y)) (*.f64 y (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))))) |
(fma.f64 (+.f64 x #s(literal -1 binary64)) (log.f64 y) (*.f64 (+.f64 z #s(literal -1 binary64)) #s(approx (log (- 1 y)) (*.f64 y (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y)) |
(*.f64 (+.f64 x #s(literal -1 binary64)) (log.f64 y)) |
(-.f64 x #s(literal 1 binary64)) |
(+.f64 x #s(literal -1 binary64)) |
x |
#s(literal 1 binary64) |
(log.f64 y) |
y |
(*.f64 (-.f64 z #s(literal 1 binary64)) #s(approx (log (- 1 y)) (*.f64 y (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))))) |
(*.f64 (+.f64 z #s(literal -1 binary64)) #s(approx (log (- 1 y)) (*.f64 y (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))))) |
(-.f64 z #s(literal 1 binary64)) |
(+.f64 z #s(literal -1 binary64)) |
z |
#s(approx (log (- 1 y)) (*.f64 y (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) |
(*.f64 y (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))) |
(fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) |
(fma.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) |
(fma.f64 y #s(literal -1/4 binary64) #s(literal -1/3 binary64)) |
#s(literal -1/4 binary64) |
#s(literal -1/3 binary64) |
#s(literal -1/2 binary64) |
#s(literal -1 binary64) |
t |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (neg.f64 t)) |
(neg.f64 t) |
t |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 (log1p.f64 (neg.f64 y)) z)) t) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z (log1p.f64 (neg.f64 y)))) t) |
#s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 (log1p.f64 (neg.f64 y)) z)) |
#s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z (log1p.f64 (neg.f64 y)))) |
(*.f64 (log1p.f64 (neg.f64 y)) z) |
(*.f64 z (log1p.f64 (neg.f64 y))) |
(log1p.f64 (neg.f64 y)) |
(neg.f64 y) |
y |
z |
t |
(-.f64 (+.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y)) (*.f64 (-.f64 z #s(literal 1 binary64)) #s(approx (log (- 1 y)) (*.f64 y (fma.f64 y (fma.f64 y #s(literal -1/3 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)))))) t) |
(-.f64 (*.f64 (+.f64 z #s(literal -1 binary64)) #s(approx (log (- 1 y)) (*.f64 y (fma.f64 y (fma.f64 y #s(literal -1/3 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))))) (fma.f64 (log.f64 y) (-.f64 #s(literal 1 binary64) x) t)) |
(+.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y)) (*.f64 (-.f64 z #s(literal 1 binary64)) #s(approx (log (- 1 y)) (*.f64 y (fma.f64 y (fma.f64 y #s(literal -1/3 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)))))) |
(fma.f64 (+.f64 x #s(literal -1 binary64)) (log.f64 y) (*.f64 (+.f64 z #s(literal -1 binary64)) #s(approx (log (- 1 y)) (*.f64 y (fma.f64 y (fma.f64 y #s(literal -1/3 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)))))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y)) |
(*.f64 (+.f64 x #s(literal -1 binary64)) (log.f64 y)) |
(-.f64 x #s(literal 1 binary64)) |
(+.f64 x #s(literal -1 binary64)) |
x |
#s(literal 1 binary64) |
(log.f64 y) |
y |
(*.f64 (-.f64 z #s(literal 1 binary64)) #s(approx (log (- 1 y)) (*.f64 y (fma.f64 y (fma.f64 y #s(literal -1/3 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))))) |
(*.f64 (+.f64 z #s(literal -1 binary64)) #s(approx (log (- 1 y)) (*.f64 y (fma.f64 y (fma.f64 y #s(literal -1/3 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))))) |
(-.f64 z #s(literal 1 binary64)) |
(+.f64 z #s(literal -1 binary64)) |
z |
#s(approx (log (- 1 y)) (*.f64 y (fma.f64 y (fma.f64 y #s(literal -1/3 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) |
(*.f64 y (fma.f64 y (fma.f64 y #s(literal -1/3 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))) |
(fma.f64 y (fma.f64 y #s(literal -1/3 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) |
(fma.f64 y #s(literal -1/3 binary64) #s(literal -1/2 binary64)) |
#s(literal -1/3 binary64) |
#s(literal -1/2 binary64) |
#s(literal -1 binary64) |
t |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x #s(literal -1 binary64)) (log.f64 y) (fma.f64 (+.f64 z #s(literal -1 binary64)) (log1p.f64 (neg.f64 y)) (neg.f64 t))))) |
(fma.f64 (+.f64 z #s(literal -1 binary64)) (log1p.f64 (neg.f64 y)) (fma.f64 (+.f64 x #s(literal -1 binary64)) (log.f64 y) (neg.f64 t))) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x #s(literal -1 binary64)) (log.f64 y) (fma.f64 (+.f64 z #s(literal -1 binary64)) (log1p.f64 (neg.f64 y)) (neg.f64 t)))) |
(/.f64 #s(literal -1 binary64) (fma.f64 (log.f64 y) (-.f64 #s(literal 1 binary64) x) (fma.f64 (log1p.f64 (neg.f64 y)) (-.f64 #s(literal 1 binary64) z) t))) |
(fma.f64 (+.f64 x #s(literal -1 binary64)) (log.f64 y) (fma.f64 (+.f64 z #s(literal -1 binary64)) (log1p.f64 (neg.f64 y)) (neg.f64 t))) |
(fma.f64 (+.f64 z #s(literal -1 binary64)) (log1p.f64 (neg.f64 y)) (fma.f64 (+.f64 x #s(literal -1 binary64)) (log.f64 y) (neg.f64 t))) |
(+.f64 x #s(literal -1 binary64)) |
x |
#s(literal -1 binary64) |
(log.f64 y) |
y |
(fma.f64 (+.f64 z #s(literal -1 binary64)) (log1p.f64 (neg.f64 y)) (neg.f64 t)) |
(+.f64 z #s(literal -1 binary64)) |
z |
(log1p.f64 (neg.f64 y)) |
(neg.f64 y) |
(neg.f64 t) |
t |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (log.f64 y) |
| ✓ | accuracy | 99.8% | (fma.f64 (+.f64 x #s(literal -1 binary64)) (log.f64 y) (fma.f64 (+.f64 z #s(literal -1 binary64)) (log1p.f64 (neg.f64 y)) (neg.f64 t))) |
| ✓ | accuracy | 99.6% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x #s(literal -1 binary64)) (log.f64 y) (fma.f64 (+.f64 z #s(literal -1 binary64)) (log1p.f64 (neg.f64 y)) (neg.f64 t))))) |
| ✓ | accuracy | 99.4% | (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x #s(literal -1 binary64)) (log.f64 y) (fma.f64 (+.f64 z #s(literal -1 binary64)) (log1p.f64 (neg.f64 y)) (neg.f64 t)))) |
| ✓ | accuracy | 100.0% | (*.f64 (-.f64 z #s(literal 1 binary64)) #s(approx (log (- 1 y)) (*.f64 y (fma.f64 y (fma.f64 y #s(literal -1/3 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))))) |
| ✓ | accuracy | 100.0% | (*.f64 y (fma.f64 y (fma.f64 y #s(literal -1/3 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))) |
| ✓ | accuracy | 99.7% | (*.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y)) |
| ✓ | accuracy | 99.4% | #s(approx (log (- 1 y)) (*.f64 y (fma.f64 y (fma.f64 y #s(literal -1/3 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) |
| ✓ | accuracy | 100.0% | (log1p.f64 (neg.f64 y)) |
| ✓ | accuracy | 100.0% | (-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 (log1p.f64 (neg.f64 y)) z)) t) |
| ✓ | accuracy | 100.0% | (*.f64 (log1p.f64 (neg.f64 y)) z) |
| ✓ | accuracy | 15.4% | #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 (log1p.f64 (neg.f64 y)) z)) |
| ✓ | accuracy | 100.0% | (neg.f64 t) |
| ✓ | accuracy | 35.5% | #s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (neg.f64 t)) |
| ✓ | accuracy | 100.0% | (*.f64 (-.f64 z #s(literal 1 binary64)) #s(approx (log (- 1 y)) (*.f64 y (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))))) |
| ✓ | accuracy | 100.0% | (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/3 binary64)) |
| ✓ | accuracy | 99.7% | (*.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y)) |
| ✓ | accuracy | 99.6% | #s(approx (log (- 1 y)) (*.f64 y (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) |
| 178.0ms | 183× | 1 | valid |
| 68.0ms | 65× | 2 | valid |
| 3.0ms | 8× | 0 | valid |
Compiled 369 to 44 computations (88.1% saved)
ival-mult: 65.0ms (33.4% of total)ival-log: 43.0ms (22.1% of total)adjust: 30.0ms (15.4% of total)ival-add: 20.0ms (10.3% of total)ival-div: 12.0ms (6.2% of total)ival-sub: 10.0ms (5.1% of total)const: 9.0ms (4.6% of total)ival-log1p: 2.0ms (1% of total)ival-neg: 2.0ms (1% of total)exact: 1.0ms (0.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (+.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y)) (*.f64 (-.f64 z #s(literal 1 binary64)) #s(approx (log (- 1 y)) (*.f64 y (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))))))> |
#<alt (-.f64 (+.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y)) (*.f64 (-.f64 z #s(literal 1 binary64)) #s(approx (log (- 1 y)) (*.f64 y (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))))) t)> |
#<alt (*.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y))> |
#<alt (-.f64 x #s(literal 1 binary64))> |
#<alt #s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (neg.f64 t))> |
#<alt (neg.f64 t)> |
#<alt (-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 (log1p.f64 (neg.f64 y)) z)) t)> |
#<alt #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 (log1p.f64 (neg.f64 y)) z))> |
#<alt (*.f64 (log1p.f64 (neg.f64 y)) z)> |
#<alt (log1p.f64 (neg.f64 y))> |
#<alt (+.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y)) (*.f64 (-.f64 z #s(literal 1 binary64)) #s(approx (log (- 1 y)) (*.f64 y (fma.f64 y (fma.f64 y #s(literal -1/3 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))))))> |
#<alt (-.f64 (+.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y)) (*.f64 (-.f64 z #s(literal 1 binary64)) #s(approx (log (- 1 y)) (*.f64 y (fma.f64 y (fma.f64 y #s(literal -1/3 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)))))) t)> |
#<alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x #s(literal -1 binary64)) (log.f64 y) (fma.f64 (+.f64 z #s(literal -1 binary64)) (log1p.f64 (neg.f64 y)) (neg.f64 t)))))> |
#<alt (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x #s(literal -1 binary64)) (log.f64 y) (fma.f64 (+.f64 z #s(literal -1 binary64)) (log1p.f64 (neg.f64 y)) (neg.f64 t))))> |
#<alt (fma.f64 (+.f64 x #s(literal -1 binary64)) (log.f64 y) (fma.f64 (+.f64 z #s(literal -1 binary64)) (log1p.f64 (neg.f64 y)) (neg.f64 t)))> |
#<alt (+.f64 x #s(literal -1 binary64))> |
#<alt #s(approx (log (- 1 y)) (*.f64 y (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))))> |
#<alt (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/3 binary64))> |
#<alt (*.f64 (-.f64 z #s(literal 1 binary64)) #s(approx (log (- 1 y)) (*.f64 y (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))))> |
#<alt #s(approx (log (- 1 y)) (*.f64 y (fma.f64 y (fma.f64 y #s(literal -1/3 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))))> |
#<alt (*.f64 y (fma.f64 y (fma.f64 y #s(literal -1/3 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)))> |
#<alt (*.f64 (-.f64 z #s(literal 1 binary64)) #s(approx (log (- 1 y)) (*.f64 y (fma.f64 y (fma.f64 y #s(literal -1/3 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)))))> |
#<alt (log.f64 y)> |
| Outputs |
|---|
#<alt (+ (* -1 (log y)) (* (log (- 1 y)) (- z 1)))> |
#<alt (+ (* -1 (log y)) (+ (* x (log y)) (* (log (- 1 y)) (- z 1))))> |
#<alt (+ (* -1 (log y)) (+ (* x (log y)) (* (log (- 1 y)) (- z 1))))> |
#<alt (+ (* -1 (log y)) (+ (* x (log y)) (* (log (- 1 y)) (- z 1))))> |
#<alt (* x (log y))> |
#<alt (* x (+ (log y) (+ (* -1 (/ (log y) x)) (/ (* (log (- 1 y)) (- z 1)) x))))> |
#<alt (* x (+ (log y) (+ (* -1 (/ (log y) x)) (/ (* (log (- 1 y)) (- z 1)) x))))> |
#<alt (* x (+ (log y) (+ (* -1 (/ (log y) x)) (/ (* (log (- 1 y)) (- z 1)) x))))> |
#<alt (* x (log y))> |
#<alt (* -1 (* x (+ (* -1 (log y)) (* -1 (/ (+ (* -1 (log y)) (* (log (- 1 y)) (- z 1))) x)))))> |
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#<alt (* -1/4 y)> |
#<alt (* -1 (* y (+ 1/4 (* 1/3 (/ 1 y)))))> |
#<alt (* -1 (* y (+ 1/4 (* 1/3 (/ 1 y)))))> |
#<alt (* -1 (* y (+ 1/4 (* 1/3 (/ 1 y)))))> |
#<alt (* -1 (log (- 1 y)))> |
#<alt (+ (* -1 (log (- 1 y))) (* z (log (- 1 y))))> |
#<alt (+ (* -1 (log (- 1 y))) (* z (log (- 1 y))))> |
#<alt (+ (* -1 (log (- 1 y))) (* z (log (- 1 y))))> |
#<alt (* z (log (- 1 y)))> |
#<alt (* z (+ (log (- 1 y)) (* -1 (/ (log (- 1 y)) z))))> |
#<alt (* z (+ (log (- 1 y)) (* -1 (/ (log (- 1 y)) z))))> |
#<alt (* z (+ (log (- 1 y)) (* -1 (/ (log (- 1 y)) z))))> |
#<alt (* z (log (- 1 y)))> |
#<alt (* -1 (* z (+ (* -1 (log (- 1 y))) (/ (log (- 1 y)) z))))> |
#<alt (* -1 (* z (+ (* -1 (log (- 1 y))) (/ (log (- 1 y)) z))))> |
#<alt (* -1 (* z (+ (* -1 (log (- 1 y))) (/ (log (- 1 y)) z))))> |
#<alt (* -1 (* y (- z 1)))> |
#<alt (* y (+ (* -1 (- z 1)) (* -1/2 (* y (- z 1)))))> |
#<alt (* y (+ (* -1 (- z 1)) (* y (+ (* -1/2 (- z 1)) (* -1/3 (* y (- z 1)))))))> |
#<alt (* y (+ (* -1 (- z 1)) (* y (+ (* -1/2 (- z 1)) (* y (+ (* -1/3 (- z 1)) (* -1/4 (* y (- z 1)))))))))> |
#<alt (* (+ (log -1) (* -1 (log (/ 1 y)))) (- z 1))> |
#<alt (+ (* -1 (/ (- z 1) y)) (* (+ (log -1) (* -1 (log (/ 1 y)))) (- z 1)))> |
#<alt (+ (* -1 (/ (- z 1) y)) (+ (* -1/2 (/ (- z 1) (pow y 2))) (* (+ (log -1) (* -1 (log (/ 1 y)))) (- z 1))))> |
#<alt (+ (* -1 (/ (- z 1) y)) (+ (* -1/2 (/ (- z 1) (pow y 2))) (+ (* -1/3 (/ (- z 1) (pow y 3))) (* (+ (log -1) (* -1 (log (/ 1 y)))) (- z 1)))))> |
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#<alt (+ (* -1 (* (log (/ -1 y)) (- z 1))) (* -1 (/ (- (+ z (* -1 (/ (+ (* -1/2 (- z 1)) (* -1/3 (/ (- z 1) y))) y))) 1) y)))> |
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#<alt (* y (- (* -1/2 y) 1))> |
#<alt (* y (- (* y (- (* -1/3 y) 1/2)) 1))> |
#<alt (* y (- (* y (- (* y (- (* -1/4 y) 1/3)) 1/2)) 1))> |
#<alt (+ (log -1) (* -1 (log (/ 1 y))))> |
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#<alt (- (+ (log -1) (+ (* -1 (log (/ 1 y))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 y))) (pow y 2))))) (/ 1 y))> |
#<alt (* -1 (log (/ -1 y)))> |
#<alt (- (* -1 (log (/ -1 y))) (/ 1 y))> |
#<alt (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ 1 (* 1/2 (/ 1 y))) y)))> |
#<alt (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow y 2)) (* 1/2 (/ 1 y)))) y)))> |
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#<alt (* y (- (* y (- (* -1/3 y) 1/2)) 1))> |
#<alt (* -1/3 (pow y 3))> |
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#<alt (* (pow y 3) (- (* -1 (/ (+ 1/2 (/ 1 y)) y)) 1/3))> |
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#<alt (+ (* -1 (log (- 1 y))) (* z (log (- 1 y))))> |
#<alt (+ (* -1 (log (- 1 y))) (* z (log (- 1 y))))> |
#<alt (* z (log (- 1 y)))> |
#<alt (* z (+ (log (- 1 y)) (* -1 (/ (log (- 1 y)) z))))> |
#<alt (* z (+ (log (- 1 y)) (* -1 (/ (log (- 1 y)) z))))> |
#<alt (* z (+ (log (- 1 y)) (* -1 (/ (log (- 1 y)) z))))> |
#<alt (* z (log (- 1 y)))> |
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#<alt (* -1 (* z (+ (* -1 (log (- 1 y))) (/ (log (- 1 y)) z))))> |
#<alt (* -1 (* y (- z 1)))> |
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#<alt (* y (+ (* -1 (- z 1)) (* y (+ (* -1/2 (- z 1)) (* y (+ (* -1/3 (- z 1)) (* -1/4 (* y (- z 1)))))))))> |
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#<alt (+ (* -1 (/ (- z 1) y)) (* (+ (log -1) (* -1 (log (/ 1 y)))) (- z 1)))> |
#<alt (+ (* -1 (/ (- z 1) y)) (+ (* -1/2 (/ (- z 1) (pow y 2))) (* (+ (log -1) (* -1 (log (/ 1 y)))) (- z 1))))> |
#<alt (+ (* -1 (/ (- z 1) y)) (+ (* -1/2 (/ (- z 1) (pow y 2))) (+ (* -1/3 (/ (- z 1) (pow y 3))) (* (+ (log -1) (* -1 (log (/ 1 y)))) (- z 1)))))> |
#<alt (* -1 (* (log (/ -1 y)) (- z 1)))> |
#<alt (+ (* -1 (* (log (/ -1 y)) (- z 1))) (* -1 (/ (- z 1) y)))> |
#<alt (+ (* -1 (* (log (/ -1 y)) (- z 1))) (* -1 (/ (- (+ z (* 1/2 (/ (- z 1) y))) 1) y)))> |
#<alt (+ (* -1 (* (log (/ -1 y)) (- z 1))) (* -1 (/ (- (+ z (* -1 (/ (+ (* -1/2 (- z 1)) (* -1/3 (/ (- z 1) y))) y))) 1) y)))> |
#<alt (log y)> |
#<alt (log y)> |
#<alt (log y)> |
#<alt (log y)> |
#<alt (* -1 (log (/ 1 y)))> |
#<alt (* -1 (log (/ 1 y)))> |
#<alt (* -1 (log (/ 1 y)))> |
#<alt (* -1 (log (/ 1 y)))> |
#<alt (+ (log -1) (* -1 (log (/ -1 y))))> |
#<alt (+ (log -1) (* -1 (log (/ -1 y))))> |
#<alt (+ (log -1) (* -1 (log (/ -1 y))))> |
#<alt (+ (log -1) (* -1 (log (/ -1 y))))> |
162 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 24.0ms | t | @ | inf | (/ 1 (/ 1 (+ (* (+ x -1) (log y)) (+ (* (+ z -1) (log (+ 1 (neg y)))) (neg t))))) |
| 18.0ms | z | @ | 0 | (* (log (+ 1 (neg y))) z) |
| 3.0ms | z | @ | inf | (/ 1 (+ (* (+ x -1) (log y)) (+ (* (+ z -1) (log (+ 1 (neg y)))) (neg t)))) |
| 2.0ms | y | @ | -inf | (/ 1 (+ (* (+ x -1) (log y)) (+ (* (+ z -1) (log (+ 1 (neg y)))) (neg t)))) |
| 2.0ms | y | @ | inf | (/ 1 (+ (* (+ x -1) (log y)) (+ (* (+ z -1) (log (+ 1 (neg y)))) (neg t)))) |
| 1× | egg-herbie |
| 7 076× | lower-fma.f64 |
| 7 076× | lower-fma.f32 |
| 4 518× | lower-*.f64 |
| 4 518× | lower-*.f32 |
| 3 938× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 628 | 13924 |
| 1 | 2002 | 13042 |
| 2 | 6853 | 12838 |
| 0 | 8150 | 11905 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
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(+ (* -1 (log y)) (+ (* x (log y)) (* (log (- 1 y)) (- z 1)))) |
(+ (* -1 (log y)) (+ (* x (log y)) (* (log (- 1 y)) (- z 1)))) |
(+ (* -1 (log y)) (+ (* x (log y)) (* (log (- 1 y)) (- z 1)))) |
(* x (log y)) |
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(* x (+ (log y) (+ (* -1 (/ (log y) x)) (/ (* (log (- 1 y)) (- z 1)) x)))) |
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(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (+ (* -1 (log y)) (* (log (- 1 y)) (- z 1))) x))))) |
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(+ (* y (+ (* -1 (- z 1)) (* y (+ (* -1/2 (- z 1)) (* -1/3 (* y (- z 1))))))) (* (log y) (- x 1))) |
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(+ (* -1 (* (log (/ 1 y)) (- x 1))) (+ (* -1 (/ (- z 1) y)) (+ (* -1/2 (/ (- z 1) (pow y 2))) (* (+ (log -1) (* -1 (log (/ 1 y)))) (- z 1))))) |
(+ (* -1 (* (log (/ 1 y)) (- x 1))) (+ (* -1 (/ (- z 1) y)) (+ (* -1/2 (/ (- z 1) (pow y 2))) (+ (* -1/3 (/ (- z 1) (pow y 3))) (* (+ (log -1) (* -1 (log (/ 1 y)))) (- z 1)))))) |
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(+ (* -1 (log (- 1 y))) (* (log y) (- x 1))) |
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(* -1 (* z (+ (* -1 (log (- 1 y))) (* -1 (/ (+ (* -1 (log (- 1 y))) (* (log y) (- x 1))) z))))) |
(- (+ (* -1 (log y)) (* (log (- 1 y)) (- z 1))) t) |
(- (+ (* -1 (log y)) (+ (* x (log y)) (* (log (- 1 y)) (- z 1)))) t) |
(- (+ (* -1 (log y)) (+ (* x (log y)) (* (log (- 1 y)) (- z 1)))) t) |
(- (+ (* -1 (log y)) (+ (* x (log y)) (* (log (- 1 y)) (- z 1)))) t) |
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(- (* (log y) (- x 1)) t) |
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(- (+ (* -1 (* (log (/ -1 y)) (- z 1))) (* (+ (log -1) (* -1 (log (/ -1 y)))) (- x 1))) t) |
(- (+ (* -1 (* (log (/ -1 y)) (- z 1))) (+ (* -1 (/ (- z 1) y)) (* (+ (log -1) (* -1 (log (/ -1 y)))) (- x 1)))) t) |
(- (+ (* -1 (* (log (/ -1 y)) (- z 1))) (+ (* -1 (/ (- (+ z (* 1/2 (/ (- z 1) y))) 1) y)) (* (+ (log -1) (* -1 (log (/ -1 y)))) (- x 1)))) t) |
(- (+ (* -1 (* (log (/ -1 y)) (- z 1))) (+ (* -1 (/ (- (+ z (* -1 (/ (+ (* -1/2 (- z 1)) (* -1/3 (/ (- z 1) y))) y))) 1) y)) (* (+ (log -1) (* -1 (log (/ -1 y)))) (- x 1)))) t) |
(- (+ (* -1 (log (- 1 y))) (* (log y) (- x 1))) t) |
(- (+ (* -1 (log (- 1 y))) (+ (* z (log (- 1 y))) (* (log y) (- x 1)))) t) |
(- (+ (* -1 (log (- 1 y))) (+ (* z (log (- 1 y))) (* (log y) (- x 1)))) t) |
(- (+ (* -1 (log (- 1 y))) (+ (* z (log (- 1 y))) (* (log y) (- x 1)))) t) |
(* z (log (- 1 y))) |
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(* z (- (+ (log (- 1 y)) (+ (* -1 (/ (log (- 1 y)) z)) (/ (* (log y) (- x 1)) z))) (/ t z))) |
(* z (- (+ (log (- 1 y)) (+ (* -1 (/ (log (- 1 y)) z)) (/ (* (log y) (- x 1)) z))) (/ t z))) |
(* z (log (- 1 y))) |
(* -1 (* z (+ (* -1 (log (- 1 y))) (* -1 (/ (- (+ (* -1 (log (- 1 y))) (* (log y) (- x 1))) t) z))))) |
(* -1 (* z (+ (* -1 (log (- 1 y))) (* -1 (/ (- (+ (* -1 (log (- 1 y))) (* (log y) (- x 1))) t) z))))) |
(* -1 (* z (+ (* -1 (log (- 1 y))) (* -1 (/ (- (+ (* -1 (log (- 1 y))) (* (log y) (- x 1))) t) z))))) |
(+ (* (log y) (- x 1)) (* (log (- 1 y)) (- z 1))) |
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(+ (* -1 t) (+ (* (log y) (- x 1)) (* (log (- 1 y)) (- z 1)))) |
(+ (* -1 t) (+ (* (log y) (- x 1)) (* (log (- 1 y)) (- z 1)))) |
(* -1 t) |
(* t (- (+ (/ (* (log y) (- x 1)) t) (/ (* (log (- 1 y)) (- z 1)) t)) 1)) |
(* t (- (+ (/ (* (log y) (- x 1)) t) (/ (* (log (- 1 y)) (- z 1)) t)) 1)) |
(* t (- (+ (/ (* (log y) (- x 1)) t) (/ (* (log (- 1 y)) (- z 1)) t)) 1)) |
(* -1 t) |
(* -1 (* t (+ 1 (* -1 (/ (+ (* (log y) (- x 1)) (* (log (- 1 y)) (- z 1))) t))))) |
(* -1 (* t (+ 1 (* -1 (/ (+ (* (log y) (- x 1)) (* (log (- 1 y)) (- z 1))) t))))) |
(* -1 (* t (+ 1 (* -1 (/ (+ (* (log y) (- x 1)) (* (log (- 1 y)) (- z 1))) t))))) |
(* -1 (log y)) |
(+ (* -1 (log y)) (* x (log y))) |
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(+ (* -1 (log y)) (* x (log y))) |
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(* x (+ (log y) (* -1 (/ (log y) x)))) |
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(* -1 (* x (+ (* -1 (log y)) (/ (log y) x)))) |
(* -1 (* x (+ (* -1 (log y)) (/ (log y) x)))) |
(* -1 (* x (+ (* -1 (log y)) (/ (log y) x)))) |
(* (log y) (- x 1)) |
(* (log y) (- x 1)) |
(* (log y) (- x 1)) |
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(* -1 (* (log (/ 1 y)) (- x 1))) |
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(* (+ (log -1) (* -1 (log (/ -1 y)))) (- x 1)) |
(* (+ (log -1) (* -1 (log (/ -1 y)))) (- x 1)) |
(* (+ (log -1) (* -1 (log (/ -1 y)))) (- x 1)) |
(* (+ (log -1) (* -1 (log (/ -1 y)))) (- x 1)) |
-1 |
(- x 1) |
(- x 1) |
(- x 1) |
x |
(* x (- 1 (/ 1 x))) |
(* x (- 1 (/ 1 x))) |
(* x (- 1 (/ 1 x))) |
x |
(* -1 (* x (- (/ 1 x) 1))) |
(* -1 (* x (- (/ 1 x) 1))) |
(* -1 (* x (- (/ 1 x) 1))) |
(- (+ (* -1 (log y)) (* (log (- 1 y)) (- z 1))) t) |
(- (+ (* -1 (log y)) (+ (* x (log y)) (* (log (- 1 y)) (- z 1)))) t) |
(- (+ (* -1 (log y)) (+ (* x (log y)) (* (log (- 1 y)) (- z 1)))) t) |
(- (+ (* -1 (log y)) (+ (* x (log y)) (* (log (- 1 y)) (- z 1)))) t) |
(* x (log y)) |
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(* x (- (+ (log y) (+ (* -1 (/ (log y) x)) (/ (* (log (- 1 y)) (- z 1)) x))) (/ t x))) |
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(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (- (+ (* -1 (log y)) (* (log (- 1 y)) (- z 1))) t) x))))) |
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (- (+ (* -1 (log y)) (* (log (- 1 y)) (- z 1))) t) x))))) |
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (- (+ (* -1 (log y)) (* (log (- 1 y)) (- z 1))) t) x))))) |
(- (* (log y) (- x 1)) t) |
(- (+ (* -1 (* y (- z 1))) (* (log y) (- x 1))) t) |
(- (+ (* y (+ (* -1 (- z 1)) (* -1/2 (* y (- z 1))))) (* (log y) (- x 1))) t) |
(- (+ (* y (+ (* -1 (- z 1)) (* y (+ (* -1/2 (- z 1)) (* -1/3 (* y (- z 1))))))) (* (log y) (- x 1))) t) |
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(- (+ (* -1 (* (log (/ 1 y)) (- x 1))) (+ (* -1 (/ (- z 1) y)) (+ (* -1/2 (/ (- z 1) (pow y 2))) (+ (* -1/3 (/ (- z 1) (pow y 3))) (* (+ (log -1) (* -1 (log (/ 1 y)))) (- z 1)))))) t) |
(- (+ (* -1 (* (log (/ -1 y)) (- z 1))) (* (+ (log -1) (* -1 (log (/ -1 y)))) (- x 1))) t) |
(- (+ (* -1 (* (log (/ -1 y)) (- z 1))) (+ (* -1 (/ (- z 1) y)) (* (+ (log -1) (* -1 (log (/ -1 y)))) (- x 1)))) t) |
(- (+ (* -1 (* (log (/ -1 y)) (- z 1))) (+ (* -1 (/ (- (+ z (* 1/2 (/ (- z 1) y))) 1) y)) (* (+ (log -1) (* -1 (log (/ -1 y)))) (- x 1)))) t) |
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(- (+ (* -1 (log (- 1 y))) (* (log y) (- x 1))) t) |
(- (+ (* -1 (log (- 1 y))) (+ (* z (log (- 1 y))) (* (log y) (- x 1)))) t) |
(- (+ (* -1 (log (- 1 y))) (+ (* z (log (- 1 y))) (* (log y) (- x 1)))) t) |
(- (+ (* -1 (log (- 1 y))) (+ (* z (log (- 1 y))) (* (log y) (- x 1)))) t) |
(* z (log (- 1 y))) |
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(* z (- (+ (log (- 1 y)) (+ (* -1 (/ (log (- 1 y)) z)) (/ (* (log y) (- x 1)) z))) (/ t z))) |
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(* z (log (- 1 y))) |
(* -1 (* z (+ (* -1 (log (- 1 y))) (* -1 (/ (- (+ (* -1 (log (- 1 y))) (* (log y) (- x 1))) t) z))))) |
(* -1 (* z (+ (* -1 (log (- 1 y))) (* -1 (/ (- (+ (* -1 (log (- 1 y))) (* (log y) (- x 1))) t) z))))) |
(* -1 (* z (+ (* -1 (log (- 1 y))) (* -1 (/ (- (+ (* -1 (log (- 1 y))) (* (log y) (- x 1))) t) z))))) |
(+ (* (log y) (- x 1)) (* (log (- 1 y)) (- z 1))) |
(+ (* -1 t) (+ (* (log y) (- x 1)) (* (log (- 1 y)) (- z 1)))) |
(+ (* -1 t) (+ (* (log y) (- x 1)) (* (log (- 1 y)) (- z 1)))) |
(+ (* -1 t) (+ (* (log y) (- x 1)) (* (log (- 1 y)) (- z 1)))) |
(* -1 t) |
(* t (- (+ (/ (* (log y) (- x 1)) t) (/ (* (log (- 1 y)) (- z 1)) t)) 1)) |
(* t (- (+ (/ (* (log y) (- x 1)) t) (/ (* (log (- 1 y)) (- z 1)) t)) 1)) |
(* t (- (+ (/ (* (log y) (- x 1)) t) (/ (* (log (- 1 y)) (- z 1)) t)) 1)) |
(* -1 t) |
(* -1 (* t (+ 1 (* -1 (/ (+ (* (log y) (- x 1)) (* (log (- 1 y)) (- z 1))) t))))) |
(* -1 (* t (+ 1 (* -1 (/ (+ (* (log y) (- x 1)) (* (log (- 1 y)) (- z 1))) t))))) |
(* -1 (* t (+ 1 (* -1 (/ (+ (* (log y) (- x 1)) (* (log (- 1 y)) (- z 1))) t))))) |
-1 |
(- x 1) |
(- x 1) |
(- x 1) |
x |
(* x (- 1 (/ 1 x))) |
(* x (- 1 (/ 1 x))) |
(* x (- 1 (/ 1 x))) |
x |
(* -1 (* x (- (/ 1 x) 1))) |
(* -1 (* x (- (/ 1 x) 1))) |
(* -1 (* x (- (/ 1 x) 1))) |
(* -1 y) |
(* y (- (* -1/2 y) 1)) |
(* y (- (* y (- (* -1/3 y) 1/2)) 1)) |
(* y (- (* y (- (* y (- (* -1/4 y) 1/3)) 1/2)) 1)) |
(+ (log -1) (* -1 (log (/ 1 y)))) |
(- (+ (log -1) (* -1 (log (/ 1 y)))) (/ 1 y)) |
(+ (log -1) (+ (* -1 (log (/ 1 y))) (* -1 (/ (+ 1 (* 1/2 (/ 1 y))) y)))) |
(- (+ (log -1) (+ (* -1 (log (/ 1 y))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 y))) (pow y 2))))) (/ 1 y)) |
(* -1 (log (/ -1 y))) |
(- (* -1 (log (/ -1 y))) (/ 1 y)) |
(+ (* -1 (log (/ -1 y))) (* -1 (/ (+ 1 (* 1/2 (/ 1 y))) y))) |
(+ (* -1 (log (/ -1 y))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow y 2)) (* 1/2 (/ 1 y)))) y))) |
-1/3 |
(- (* -1/4 y) 1/3) |
(- (* -1/4 y) 1/3) |
(- (* -1/4 y) 1/3) |
(* -1/4 y) |
(* -1 (* y (+ 1/4 (* 1/3 (/ 1 y))))) |
(* -1 (* y (+ 1/4 (* 1/3 (/ 1 y))))) |
(* -1 (* y (+ 1/4 (* 1/3 (/ 1 y))))) |
(* -1/4 y) |
(* -1 (* y (+ 1/4 (* 1/3 (/ 1 y))))) |
(* -1 (* y (+ 1/4 (* 1/3 (/ 1 y))))) |
(* -1 (* y (+ 1/4 (* 1/3 (/ 1 y))))) |
(* -1 (log (- 1 y))) |
(+ (* -1 (log (- 1 y))) (* z (log (- 1 y)))) |
(+ (* -1 (log (- 1 y))) (* z (log (- 1 y)))) |
(+ (* -1 (log (- 1 y))) (* z (log (- 1 y)))) |
(* z (log (- 1 y))) |
(* z (+ (log (- 1 y)) (* -1 (/ (log (- 1 y)) z)))) |
(* z (+ (log (- 1 y)) (* -1 (/ (log (- 1 y)) z)))) |
(* z (+ (log (- 1 y)) (* -1 (/ (log (- 1 y)) z)))) |
(* z (log (- 1 y))) |
(* -1 (* z (+ (* -1 (log (- 1 y))) (/ (log (- 1 y)) z)))) |
(* -1 (* z (+ (* -1 (log (- 1 y))) (/ (log (- 1 y)) z)))) |
(* -1 (* z (+ (* -1 (log (- 1 y))) (/ (log (- 1 y)) z)))) |
(* -1 (* y (- z 1))) |
(* y (+ (* -1 (- z 1)) (* -1/2 (* y (- z 1))))) |
(* y (+ (* -1 (- z 1)) (* y (+ (* -1/2 (- z 1)) (* -1/3 (* y (- z 1))))))) |
(* y (+ (* -1 (- z 1)) (* y (+ (* -1/2 (- z 1)) (* y (+ (* -1/3 (- z 1)) (* -1/4 (* y (- z 1))))))))) |
(* (+ (log -1) (* -1 (log (/ 1 y)))) (- z 1)) |
(+ (* -1 (/ (- z 1) y)) (* (+ (log -1) (* -1 (log (/ 1 y)))) (- z 1))) |
(+ (* -1 (/ (- z 1) y)) (+ (* -1/2 (/ (- z 1) (pow y 2))) (* (+ (log -1) (* -1 (log (/ 1 y)))) (- z 1)))) |
(+ (* -1 (/ (- z 1) y)) (+ (* -1/2 (/ (- z 1) (pow y 2))) (+ (* -1/3 (/ (- z 1) (pow y 3))) (* (+ (log -1) (* -1 (log (/ 1 y)))) (- z 1))))) |
(* -1 (* (log (/ -1 y)) (- z 1))) |
(+ (* -1 (* (log (/ -1 y)) (- z 1))) (* -1 (/ (- z 1) y))) |
(+ (* -1 (* (log (/ -1 y)) (- z 1))) (* -1 (/ (- (+ z (* 1/2 (/ (- z 1) y))) 1) y))) |
(+ (* -1 (* (log (/ -1 y)) (- z 1))) (* -1 (/ (- (+ z (* -1 (/ (+ (* -1/2 (- z 1)) (* -1/3 (/ (- z 1) y))) y))) 1) y))) |
(* -1 y) |
(* y (- (* -1/2 y) 1)) |
(* y (- (* y (- (* -1/3 y) 1/2)) 1)) |
(* y (- (* y (- (* y (- (* -1/4 y) 1/3)) 1/2)) 1)) |
(+ (log -1) (* -1 (log (/ 1 y)))) |
(- (+ (log -1) (* -1 (log (/ 1 y)))) (/ 1 y)) |
(+ (log -1) (+ (* -1 (log (/ 1 y))) (* -1 (/ (+ 1 (* 1/2 (/ 1 y))) y)))) |
(- (+ (log -1) (+ (* -1 (log (/ 1 y))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 y))) (pow y 2))))) (/ 1 y)) |
(* -1 (log (/ -1 y))) |
(- (* -1 (log (/ -1 y))) (/ 1 y)) |
(+ (* -1 (log (/ -1 y))) (* -1 (/ (+ 1 (* 1/2 (/ 1 y))) y))) |
(+ (* -1 (log (/ -1 y))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow y 2)) (* 1/2 (/ 1 y)))) y))) |
(* -1 y) |
(* y (- (* -1/2 y) 1)) |
(* y (- (* y (- (* -1/3 y) 1/2)) 1)) |
(* y (- (* y (- (* -1/3 y) 1/2)) 1)) |
(* -1/3 (pow y 3)) |
(* -1 (* (pow y 3) (+ 1/3 (* 1/2 (/ 1 y))))) |
(* (pow y 3) (- (* -1 (/ (+ 1/2 (/ 1 y)) y)) 1/3)) |
(* (pow y 3) (- (* -1 (/ (+ 1/2 (/ 1 y)) y)) 1/3)) |
(* -1/3 (pow y 3)) |
(* -1 (* (pow y 3) (+ 1/3 (* 1/2 (/ 1 y))))) |
(* -1 (* (pow y 3) (+ 1/3 (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 2)))))) |
(* -1 (* (pow y 3) (+ 1/3 (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 2)))))) |
(* -1 (log (- 1 y))) |
(+ (* -1 (log (- 1 y))) (* z (log (- 1 y)))) |
(+ (* -1 (log (- 1 y))) (* z (log (- 1 y)))) |
(+ (* -1 (log (- 1 y))) (* z (log (- 1 y)))) |
(* z (log (- 1 y))) |
(* z (+ (log (- 1 y)) (* -1 (/ (log (- 1 y)) z)))) |
(* z (+ (log (- 1 y)) (* -1 (/ (log (- 1 y)) z)))) |
(* z (+ (log (- 1 y)) (* -1 (/ (log (- 1 y)) z)))) |
(* z (log (- 1 y))) |
(* -1 (* z (+ (* -1 (log (- 1 y))) (/ (log (- 1 y)) z)))) |
(* -1 (* z (+ (* -1 (log (- 1 y))) (/ (log (- 1 y)) z)))) |
(* -1 (* z (+ (* -1 (log (- 1 y))) (/ (log (- 1 y)) z)))) |
(* -1 (* y (- z 1))) |
(* y (+ (* -1 (- z 1)) (* -1/2 (* y (- z 1))))) |
(* y (+ (* -1 (- z 1)) (* y (+ (* -1/2 (- z 1)) (* -1/3 (* y (- z 1))))))) |
(* y (+ (* -1 (- z 1)) (* y (+ (* -1/2 (- z 1)) (* y (+ (* -1/3 (- z 1)) (* -1/4 (* y (- z 1))))))))) |
(* (+ (log -1) (* -1 (log (/ 1 y)))) (- z 1)) |
(+ (* -1 (/ (- z 1) y)) (* (+ (log -1) (* -1 (log (/ 1 y)))) (- z 1))) |
(+ (* -1 (/ (- z 1) y)) (+ (* -1/2 (/ (- z 1) (pow y 2))) (* (+ (log -1) (* -1 (log (/ 1 y)))) (- z 1)))) |
(+ (* -1 (/ (- z 1) y)) (+ (* -1/2 (/ (- z 1) (pow y 2))) (+ (* -1/3 (/ (- z 1) (pow y 3))) (* (+ (log -1) (* -1 (log (/ 1 y)))) (- z 1))))) |
(* -1 (* (log (/ -1 y)) (- z 1))) |
(+ (* -1 (* (log (/ -1 y)) (- z 1))) (* -1 (/ (- z 1) y))) |
(+ (* -1 (* (log (/ -1 y)) (- z 1))) (* -1 (/ (- (+ z (* 1/2 (/ (- z 1) y))) 1) y))) |
(+ (* -1 (* (log (/ -1 y)) (- z 1))) (* -1 (/ (- (+ z (* -1 (/ (+ (* -1/2 (- z 1)) (* -1/3 (/ (- z 1) y))) y))) 1) y))) |
(log y) |
(log y) |
(log y) |
(log y) |
(* -1 (log (/ 1 y))) |
(* -1 (log (/ 1 y))) |
(* -1 (log (/ 1 y))) |
(* -1 (log (/ 1 y))) |
(+ (log -1) (* -1 (log (/ -1 y)))) |
(+ (log -1) (* -1 (log (/ -1 y)))) |
(+ (log -1) (* -1 (log (/ -1 y)))) |
(+ (log -1) (* -1 (log (/ -1 y)))) |
| Outputs |
|---|
(+ (* -1 (log y)) (* (log (- 1 y)) (- z 1))) |
(fma.f64 (log1p.f64 (neg.f64 y)) (+.f64 #s(literal -1 binary64) z) (neg.f64 (log.f64 y))) |
(+ (* -1 (log y)) (+ (* x (log y)) (* (log (- 1 y)) (- z 1)))) |
(fma.f64 (log.f64 y) (+.f64 #s(literal -1 binary64) x) (*.f64 (log1p.f64 (neg.f64 y)) (+.f64 #s(literal -1 binary64) z))) |
(+ (* -1 (log y)) (+ (* x (log y)) (* (log (- 1 y)) (- z 1)))) |
(fma.f64 (log.f64 y) (+.f64 #s(literal -1 binary64) x) (*.f64 (log1p.f64 (neg.f64 y)) (+.f64 #s(literal -1 binary64) z))) |
(+ (* -1 (log y)) (+ (* x (log y)) (* (log (- 1 y)) (- z 1)))) |
(fma.f64 (log.f64 y) (+.f64 #s(literal -1 binary64) x) (*.f64 (log1p.f64 (neg.f64 y)) (+.f64 #s(literal -1 binary64) z))) |
(* x (log y)) |
(*.f64 (log.f64 y) x) |
(* x (+ (log y) (+ (* -1 (/ (log y) x)) (/ (* (log (- 1 y)) (- z 1)) x)))) |
(*.f64 x (+.f64 (log.f64 y) (/.f64 (fma.f64 (log1p.f64 (neg.f64 y)) (+.f64 #s(literal -1 binary64) z) (neg.f64 (log.f64 y))) x))) |
(* x (+ (log y) (+ (* -1 (/ (log y) x)) (/ (* (log (- 1 y)) (- z 1)) x)))) |
(*.f64 x (+.f64 (log.f64 y) (/.f64 (fma.f64 (log1p.f64 (neg.f64 y)) (+.f64 #s(literal -1 binary64) z) (neg.f64 (log.f64 y))) x))) |
(* x (+ (log y) (+ (* -1 (/ (log y) x)) (/ (* (log (- 1 y)) (- z 1)) x)))) |
(*.f64 x (+.f64 (log.f64 y) (/.f64 (fma.f64 (log1p.f64 (neg.f64 y)) (+.f64 #s(literal -1 binary64) z) (neg.f64 (log.f64 y))) x))) |
(* x (log y)) |
(*.f64 (log.f64 y) x) |
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (+ (* -1 (log y)) (* (log (- 1 y)) (- z 1))) x))))) |
(*.f64 (-.f64 (/.f64 (fma.f64 (log1p.f64 (neg.f64 y)) (+.f64 #s(literal -1 binary64) z) (neg.f64 (log.f64 y))) (neg.f64 x)) (log.f64 y)) (neg.f64 x)) |
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (+ (* -1 (log y)) (* (log (- 1 y)) (- z 1))) x))))) |
(*.f64 (-.f64 (/.f64 (fma.f64 (log1p.f64 (neg.f64 y)) (+.f64 #s(literal -1 binary64) z) (neg.f64 (log.f64 y))) (neg.f64 x)) (log.f64 y)) (neg.f64 x)) |
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (+ (* -1 (log y)) (* (log (- 1 y)) (- z 1))) x))))) |
(*.f64 (-.f64 (/.f64 (fma.f64 (log1p.f64 (neg.f64 y)) (+.f64 #s(literal -1 binary64) z) (neg.f64 (log.f64 y))) (neg.f64 x)) (log.f64 y)) (neg.f64 x)) |
(* (log y) (- x 1)) |
(*.f64 (log.f64 y) (+.f64 #s(literal -1 binary64) x)) |
(+ (* -1 (* y (- z 1))) (* (log y) (- x 1))) |
(-.f64 (*.f64 (log.f64 y) (+.f64 #s(literal -1 binary64) x)) (-.f64 (*.f64 y z) y)) |
(+ (* y (+ (* -1 (- z 1)) (* -1/2 (* y (- z 1))))) (* (log y) (- x 1))) |
(fma.f64 y (*.f64 (+.f64 #s(literal -1 binary64) z) (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))) (*.f64 (log.f64 y) (+.f64 #s(literal -1 binary64) x))) |
(+ (* y (+ (* -1 (- z 1)) (* y (+ (* -1/2 (- z 1)) (* -1/3 (* y (- z 1))))))) (* (log y) (- x 1))) |
(fma.f64 y (fma.f64 y (*.f64 (+.f64 #s(literal -1 binary64) z) (fma.f64 y #s(literal -1/3 binary64) #s(literal -1/2 binary64))) (+.f64 (neg.f64 z) #s(literal 1 binary64))) (*.f64 (log.f64 y) (+.f64 #s(literal -1 binary64) x))) |
(+ (* -1 (* (log (/ 1 y)) (- x 1))) (* (+ (log -1) (* -1 (log (/ 1 y)))) (- z 1))) |
(fma.f64 (+.f64 #s(literal -1 binary64) z) (+.f64 (log.f64 y) (log.f64 #s(literal -1 binary64))) (*.f64 (log.f64 y) (+.f64 #s(literal -1 binary64) x))) |
(+ (* -1 (* (log (/ 1 y)) (- x 1))) (+ (* -1 (/ (- z 1) y)) (* (+ (log -1) (* -1 (log (/ 1 y)))) (- z 1)))) |
(-.f64 (fma.f64 (+.f64 #s(literal -1 binary64) z) (+.f64 (log.f64 y) (log.f64 #s(literal -1 binary64))) (*.f64 (log.f64 y) (+.f64 #s(literal -1 binary64) x))) (/.f64 (+.f64 #s(literal -1 binary64) z) y)) |
(+ (* -1 (* (log (/ 1 y)) (- x 1))) (+ (* -1 (/ (- z 1) y)) (+ (* -1/2 (/ (- z 1) (pow y 2))) (* (+ (log -1) (* -1 (log (/ 1 y)))) (- z 1))))) |
(fma.f64 (log.f64 y) (+.f64 #s(literal -1 binary64) x) (fma.f64 (+.f64 #s(literal -1 binary64) z) (+.f64 (log.f64 y) (log.f64 #s(literal -1 binary64))) (-.f64 (/.f64 (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 y y)) (/.f64 (+.f64 #s(literal -1 binary64) z) y)))) |
(+ (* -1 (* (log (/ 1 y)) (- x 1))) (+ (* -1 (/ (- z 1) y)) (+ (* -1/2 (/ (- z 1) (pow y 2))) (+ (* -1/3 (/ (- z 1) (pow y 3))) (* (+ (log -1) (* -1 (log (/ 1 y)))) (- z 1)))))) |
(+.f64 (fma.f64 (log.f64 y) (+.f64 #s(literal -1 binary64) x) (-.f64 (/.f64 (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 y y)) (/.f64 (+.f64 #s(literal -1 binary64) z) y))) (fma.f64 (+.f64 #s(literal -1 binary64) z) (+.f64 (log.f64 y) (log.f64 #s(literal -1 binary64))) (/.f64 (fma.f64 z #s(literal -1/3 binary64) #s(literal 1/3 binary64)) (*.f64 y (*.f64 y y))))) |
(+ (* -1 (* (log (/ -1 y)) (- z 1))) (* (+ (log -1) (* -1 (log (/ -1 y)))) (- x 1))) |
(fma.f64 (+.f64 #s(literal -1 binary64) x) (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 y)))) (*.f64 (+.f64 (neg.f64 z) #s(literal 1 binary64)) (neg.f64 (log.f64 (neg.f64 y))))) |
(+ (* -1 (* (log (/ -1 y)) (- z 1))) (+ (* -1 (/ (- z 1) y)) (* (+ (log -1) (* -1 (log (/ -1 y)))) (- x 1)))) |
(-.f64 (*.f64 (+.f64 #s(literal -1 binary64) x) (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 y))))) (fma.f64 (+.f64 #s(literal -1 binary64) z) (neg.f64 (log.f64 (neg.f64 y))) (/.f64 (+.f64 #s(literal -1 binary64) z) y))) |
(+ (* -1 (* (log (/ -1 y)) (- z 1))) (+ (* -1 (/ (- (+ z (* 1/2 (/ (- z 1) y))) 1) y)) (* (+ (log -1) (* -1 (log (/ -1 y)))) (- x 1)))) |
(-.f64 (*.f64 (+.f64 #s(literal -1 binary64) x) (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 y))))) (fma.f64 (+.f64 #s(literal -1 binary64) z) (neg.f64 (log.f64 (neg.f64 y))) (/.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) z) y) #s(literal 1/2 binary64) (+.f64 #s(literal -1 binary64) z)) y))) |
(+ (* -1 (* (log (/ -1 y)) (- z 1))) (+ (* -1 (/ (- (+ z (* -1 (/ (+ (* -1/2 (- z 1)) (* -1/3 (/ (- z 1) y))) y))) 1) y)) (* (+ (log -1) (* -1 (log (/ -1 y)))) (- x 1)))) |
(-.f64 (*.f64 (+.f64 #s(literal -1 binary64) x) (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 y))))) (fma.f64 (+.f64 #s(literal -1 binary64) z) (neg.f64 (log.f64 (neg.f64 y))) (/.f64 (+.f64 #s(literal -1 binary64) (-.f64 z (/.f64 (+.f64 (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (fma.f64 z #s(literal -1/3 binary64) #s(literal 1/3 binary64)) y)) y))) y))) |
(+ (* -1 (log (- 1 y))) (* (log y) (- x 1))) |
(-.f64 (*.f64 (log.f64 y) (+.f64 #s(literal -1 binary64) x)) (log1p.f64 (neg.f64 y))) |
(+ (* -1 (log (- 1 y))) (+ (* z (log (- 1 y))) (* (log y) (- x 1)))) |
(fma.f64 (log.f64 y) (+.f64 #s(literal -1 binary64) x) (*.f64 (log1p.f64 (neg.f64 y)) (+.f64 #s(literal -1 binary64) z))) |
(+ (* -1 (log (- 1 y))) (+ (* z (log (- 1 y))) (* (log y) (- x 1)))) |
(fma.f64 (log.f64 y) (+.f64 #s(literal -1 binary64) x) (*.f64 (log1p.f64 (neg.f64 y)) (+.f64 #s(literal -1 binary64) z))) |
(+ (* -1 (log (- 1 y))) (+ (* z (log (- 1 y))) (* (log y) (- x 1)))) |
(fma.f64 (log.f64 y) (+.f64 #s(literal -1 binary64) x) (*.f64 (log1p.f64 (neg.f64 y)) (+.f64 #s(literal -1 binary64) z))) |
(* z (log (- 1 y))) |
(*.f64 (log1p.f64 (neg.f64 y)) z) |
(* z (+ (log (- 1 y)) (+ (* -1 (/ (log (- 1 y)) z)) (/ (* (log y) (- x 1)) z)))) |
(*.f64 z (+.f64 (log1p.f64 (neg.f64 y)) (/.f64 (-.f64 (*.f64 (log.f64 y) (+.f64 #s(literal -1 binary64) x)) (log1p.f64 (neg.f64 y))) z))) |
(* z (+ (log (- 1 y)) (+ (* -1 (/ (log (- 1 y)) z)) (/ (* (log y) (- x 1)) z)))) |
(*.f64 z (+.f64 (log1p.f64 (neg.f64 y)) (/.f64 (-.f64 (*.f64 (log.f64 y) (+.f64 #s(literal -1 binary64) x)) (log1p.f64 (neg.f64 y))) z))) |
(* z (+ (log (- 1 y)) (+ (* -1 (/ (log (- 1 y)) z)) (/ (* (log y) (- x 1)) z)))) |
(*.f64 z (+.f64 (log1p.f64 (neg.f64 y)) (/.f64 (-.f64 (*.f64 (log.f64 y) (+.f64 #s(literal -1 binary64) x)) (log1p.f64 (neg.f64 y))) z))) |
(* z (log (- 1 y))) |
(*.f64 (log1p.f64 (neg.f64 y)) z) |
(* -1 (* z (+ (* -1 (log (- 1 y))) (* -1 (/ (+ (* -1 (log (- 1 y))) (* (log y) (- x 1))) z))))) |
(*.f64 (-.f64 (neg.f64 (log1p.f64 (neg.f64 y))) (/.f64 (-.f64 (*.f64 (log.f64 y) (+.f64 #s(literal -1 binary64) x)) (log1p.f64 (neg.f64 y))) z)) (neg.f64 z)) |
(* -1 (* z (+ (* -1 (log (- 1 y))) (* -1 (/ (+ (* -1 (log (- 1 y))) (* (log y) (- x 1))) z))))) |
(*.f64 (-.f64 (neg.f64 (log1p.f64 (neg.f64 y))) (/.f64 (-.f64 (*.f64 (log.f64 y) (+.f64 #s(literal -1 binary64) x)) (log1p.f64 (neg.f64 y))) z)) (neg.f64 z)) |
(* -1 (* z (+ (* -1 (log (- 1 y))) (* -1 (/ (+ (* -1 (log (- 1 y))) (* (log y) (- x 1))) z))))) |
(*.f64 (-.f64 (neg.f64 (log1p.f64 (neg.f64 y))) (/.f64 (-.f64 (*.f64 (log.f64 y) (+.f64 #s(literal -1 binary64) x)) (log1p.f64 (neg.f64 y))) z)) (neg.f64 z)) |
(- (+ (* -1 (log y)) (* (log (- 1 y)) (- z 1))) t) |
(-.f64 (fma.f64 (log1p.f64 (neg.f64 y)) (+.f64 #s(literal -1 binary64) z) (neg.f64 (log.f64 y))) t) |
(- (+ (* -1 (log y)) (+ (* x (log y)) (* (log (- 1 y)) (- z 1)))) t) |
(fma.f64 (log.f64 y) (+.f64 #s(literal -1 binary64) x) (fma.f64 (log1p.f64 (neg.f64 y)) (+.f64 #s(literal -1 binary64) z) (neg.f64 t))) |
(- (+ (* -1 (log y)) (+ (* x (log y)) (* (log (- 1 y)) (- z 1)))) t) |
(fma.f64 (log.f64 y) (+.f64 #s(literal -1 binary64) x) (fma.f64 (log1p.f64 (neg.f64 y)) (+.f64 #s(literal -1 binary64) z) (neg.f64 t))) |
(- (+ (* -1 (log y)) (+ (* x (log y)) (* (log (- 1 y)) (- z 1)))) t) |
(fma.f64 (log.f64 y) (+.f64 #s(literal -1 binary64) x) (fma.f64 (log1p.f64 (neg.f64 y)) (+.f64 #s(literal -1 binary64) z) (neg.f64 t))) |
(* x (log y)) |
(*.f64 (log.f64 y) x) |
(* x (- (+ (log y) (+ (* -1 (/ (log y) x)) (/ (* (log (- 1 y)) (- z 1)) x))) (/ t x))) |
(*.f64 x (+.f64 (log.f64 y) (/.f64 (-.f64 (fma.f64 (log1p.f64 (neg.f64 y)) (+.f64 #s(literal -1 binary64) z) (neg.f64 (log.f64 y))) t) x))) |
(* x (- (+ (log y) (+ (* -1 (/ (log y) x)) (/ (* (log (- 1 y)) (- z 1)) x))) (/ t x))) |
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(*.f64 (+.f64 (neg.f64 z) #s(literal 1 binary64)) (neg.f64 (log.f64 (neg.f64 y)))) |
(+ (* -1 (* (log (/ -1 y)) (- z 1))) (* -1 (/ (- z 1) y))) |
(neg.f64 (fma.f64 (+.f64 #s(literal -1 binary64) z) (neg.f64 (log.f64 (neg.f64 y))) (/.f64 (+.f64 #s(literal -1 binary64) z) y))) |
(+ (* -1 (* (log (/ -1 y)) (- z 1))) (* -1 (/ (- (+ z (* 1/2 (/ (- z 1) y))) 1) y))) |
(neg.f64 (fma.f64 (+.f64 #s(literal -1 binary64) z) (neg.f64 (log.f64 (neg.f64 y))) (/.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) z) y) #s(literal 1/2 binary64) (+.f64 #s(literal -1 binary64) z)) y))) |
(+ (* -1 (* (log (/ -1 y)) (- z 1))) (* -1 (/ (- (+ z (* -1 (/ (+ (* -1/2 (- z 1)) (* -1/3 (/ (- z 1) y))) y))) 1) y))) |
(neg.f64 (fma.f64 (+.f64 #s(literal -1 binary64) z) (neg.f64 (log.f64 (neg.f64 y))) (/.f64 (+.f64 #s(literal -1 binary64) (-.f64 z (/.f64 (+.f64 (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (fma.f64 z #s(literal -1/3 binary64) #s(literal 1/3 binary64)) y)) y))) y))) |
(* -1 y) |
(neg.f64 y) |
(* y (- (* -1/2 y) 1)) |
(*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))) |
(* y (- (* y (- (* -1/3 y) 1/2)) 1)) |
(*.f64 y (fma.f64 y (fma.f64 y #s(literal -1/3 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))) |
(* y (- (* y (- (* y (- (* -1/4 y) 1/3)) 1/2)) 1)) |
(*.f64 y (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))) |
(+ (log -1) (* -1 (log (/ 1 y)))) |
(+.f64 (log.f64 y) (log.f64 #s(literal -1 binary64))) |
(- (+ (log -1) (* -1 (log (/ 1 y)))) (/ 1 y)) |
(+.f64 (+.f64 (log.f64 y) (log.f64 #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) y)) |
(+ (log -1) (+ (* -1 (log (/ 1 y))) (* -1 (/ (+ 1 (* 1/2 (/ 1 y))) y)))) |
(+.f64 (log.f64 y) (-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y)) y))) |
(- (+ (log -1) (+ (* -1 (log (/ 1 y))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 y))) (pow y 2))))) (/ 1 y)) |
(+.f64 (-.f64 (log.f64 y) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) y)) (*.f64 y y))) (+.f64 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y))) |
(* -1 (log (/ -1 y))) |
(neg.f64 (neg.f64 (log.f64 (neg.f64 y)))) |
(- (* -1 (log (/ -1 y))) (/ 1 y)) |
(-.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (log.f64 (neg.f64 y)))) |
(+ (* -1 (log (/ -1 y))) (* -1 (/ (+ 1 (* 1/2 (/ 1 y))) y))) |
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y)) (neg.f64 y)) (neg.f64 (log.f64 (neg.f64 y)))) |
(+ (* -1 (log (/ -1 y))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow y 2)) (* 1/2 (/ 1 y)))) y))) |
(-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 y y)))) (neg.f64 y)) (neg.f64 (log.f64 (neg.f64 y)))) |
(* -1 y) |
(neg.f64 y) |
(* y (- (* -1/2 y) 1)) |
(*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))) |
(* y (- (* y (- (* -1/3 y) 1/2)) 1)) |
(*.f64 y (fma.f64 y (fma.f64 y #s(literal -1/3 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))) |
(* y (- (* y (- (* -1/3 y) 1/2)) 1)) |
(*.f64 y (fma.f64 y (fma.f64 y #s(literal -1/3 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))) |
(* -1/3 (pow y 3)) |
(*.f64 #s(literal -1/3 binary64) (*.f64 y (*.f64 y y))) |
(* -1 (* (pow y 3) (+ 1/3 (* 1/2 (/ 1 y))))) |
(*.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/2 binary64) y)) (neg.f64 (*.f64 y (*.f64 y y)))) |
(* (pow y 3) (- (* -1 (/ (+ 1/2 (/ 1 y)) y)) 1/3)) |
(*.f64 (*.f64 y (*.f64 y y)) (+.f64 #s(literal -1/3 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) y)) y))) |
(* (pow y 3) (- (* -1 (/ (+ 1/2 (/ 1 y)) y)) 1/3)) |
(*.f64 (*.f64 y (*.f64 y y)) (+.f64 #s(literal -1/3 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) y)) y))) |
(* -1/3 (pow y 3)) |
(*.f64 #s(literal -1/3 binary64) (*.f64 y (*.f64 y y))) |
(* -1 (* (pow y 3) (+ 1/3 (* 1/2 (/ 1 y))))) |
(*.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/2 binary64) y)) (neg.f64 (*.f64 y (*.f64 y y)))) |
(* -1 (* (pow y 3) (+ 1/3 (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 2)))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y)))) (neg.f64 (*.f64 y (*.f64 y y)))) |
(* -1 (* (pow y 3) (+ 1/3 (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 2)))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y)))) (neg.f64 (*.f64 y (*.f64 y y)))) |
(* -1 (log (- 1 y))) |
(neg.f64 (log1p.f64 (neg.f64 y))) |
(+ (* -1 (log (- 1 y))) (* z (log (- 1 y)))) |
(*.f64 (log1p.f64 (neg.f64 y)) (+.f64 #s(literal -1 binary64) z)) |
(+ (* -1 (log (- 1 y))) (* z (log (- 1 y)))) |
(*.f64 (log1p.f64 (neg.f64 y)) (+.f64 #s(literal -1 binary64) z)) |
(+ (* -1 (log (- 1 y))) (* z (log (- 1 y)))) |
(*.f64 (log1p.f64 (neg.f64 y)) (+.f64 #s(literal -1 binary64) z)) |
(* z (log (- 1 y))) |
(*.f64 (log1p.f64 (neg.f64 y)) z) |
(* z (+ (log (- 1 y)) (* -1 (/ (log (- 1 y)) z)))) |
(*.f64 z (-.f64 (log1p.f64 (neg.f64 y)) (/.f64 (log1p.f64 (neg.f64 y)) z))) |
(* z (+ (log (- 1 y)) (* -1 (/ (log (- 1 y)) z)))) |
(*.f64 z (-.f64 (log1p.f64 (neg.f64 y)) (/.f64 (log1p.f64 (neg.f64 y)) z))) |
(* z (+ (log (- 1 y)) (* -1 (/ (log (- 1 y)) z)))) |
(*.f64 z (-.f64 (log1p.f64 (neg.f64 y)) (/.f64 (log1p.f64 (neg.f64 y)) z))) |
(* z (log (- 1 y))) |
(*.f64 (log1p.f64 (neg.f64 y)) z) |
(* -1 (* z (+ (* -1 (log (- 1 y))) (/ (log (- 1 y)) z)))) |
(*.f64 (neg.f64 z) (-.f64 (/.f64 (log1p.f64 (neg.f64 y)) z) (log1p.f64 (neg.f64 y)))) |
(* -1 (* z (+ (* -1 (log (- 1 y))) (/ (log (- 1 y)) z)))) |
(*.f64 (neg.f64 z) (-.f64 (/.f64 (log1p.f64 (neg.f64 y)) z) (log1p.f64 (neg.f64 y)))) |
(* -1 (* z (+ (* -1 (log (- 1 y))) (/ (log (- 1 y)) z)))) |
(*.f64 (neg.f64 z) (-.f64 (/.f64 (log1p.f64 (neg.f64 y)) z) (log1p.f64 (neg.f64 y)))) |
(* -1 (* y (- z 1))) |
(*.f64 y (+.f64 (neg.f64 z) #s(literal 1 binary64))) |
(* y (+ (* -1 (- z 1)) (* -1/2 (* y (- z 1))))) |
(*.f64 y (*.f64 (+.f64 #s(literal -1 binary64) z) (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)))) |
(* y (+ (* -1 (- z 1)) (* y (+ (* -1/2 (- z 1)) (* -1/3 (* y (- z 1))))))) |
(*.f64 y (fma.f64 y (*.f64 (+.f64 #s(literal -1 binary64) z) (fma.f64 y #s(literal -1/3 binary64) #s(literal -1/2 binary64))) (+.f64 (neg.f64 z) #s(literal 1 binary64)))) |
(* y (+ (* -1 (- z 1)) (* y (+ (* -1/2 (- z 1)) (* y (+ (* -1/3 (- z 1)) (* -1/4 (* y (- z 1))))))))) |
(*.f64 y (fma.f64 y (fma.f64 y (*.f64 (+.f64 #s(literal -1 binary64) z) (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/3 binary64))) (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (+.f64 (neg.f64 z) #s(literal 1 binary64)))) |
(* (+ (log -1) (* -1 (log (/ 1 y)))) (- z 1)) |
(*.f64 (+.f64 #s(literal -1 binary64) z) (+.f64 (log.f64 y) (log.f64 #s(literal -1 binary64)))) |
(+ (* -1 (/ (- z 1) y)) (* (+ (log -1) (* -1 (log (/ 1 y)))) (- z 1))) |
(fma.f64 (+.f64 #s(literal -1 binary64) z) (+.f64 (log.f64 y) (log.f64 #s(literal -1 binary64))) (/.f64 (+.f64 (neg.f64 z) #s(literal 1 binary64)) y)) |
(+ (* -1 (/ (- z 1) y)) (+ (* -1/2 (/ (- z 1) (pow y 2))) (* (+ (log -1) (* -1 (log (/ 1 y)))) (- z 1)))) |
(fma.f64 (+.f64 #s(literal -1 binary64) z) (+.f64 (log.f64 y) (log.f64 #s(literal -1 binary64))) (-.f64 (/.f64 (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 y y)) (/.f64 (+.f64 #s(literal -1 binary64) z) y))) |
(+ (* -1 (/ (- z 1) y)) (+ (* -1/2 (/ (- z 1) (pow y 2))) (+ (* -1/3 (/ (- z 1) (pow y 3))) (* (+ (log -1) (* -1 (log (/ 1 y)))) (- z 1))))) |
(+.f64 (fma.f64 (+.f64 #s(literal -1 binary64) z) (+.f64 (log.f64 y) (log.f64 #s(literal -1 binary64))) (-.f64 (/.f64 (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 y y)) (/.f64 (+.f64 #s(literal -1 binary64) z) y))) (/.f64 (fma.f64 z #s(literal -1/3 binary64) #s(literal 1/3 binary64)) (*.f64 y (*.f64 y y)))) |
(* -1 (* (log (/ -1 y)) (- z 1))) |
(*.f64 (+.f64 (neg.f64 z) #s(literal 1 binary64)) (neg.f64 (log.f64 (neg.f64 y)))) |
(+ (* -1 (* (log (/ -1 y)) (- z 1))) (* -1 (/ (- z 1) y))) |
(neg.f64 (fma.f64 (+.f64 #s(literal -1 binary64) z) (neg.f64 (log.f64 (neg.f64 y))) (/.f64 (+.f64 #s(literal -1 binary64) z) y))) |
(+ (* -1 (* (log (/ -1 y)) (- z 1))) (* -1 (/ (- (+ z (* 1/2 (/ (- z 1) y))) 1) y))) |
(neg.f64 (fma.f64 (+.f64 #s(literal -1 binary64) z) (neg.f64 (log.f64 (neg.f64 y))) (/.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) z) y) #s(literal 1/2 binary64) (+.f64 #s(literal -1 binary64) z)) y))) |
(+ (* -1 (* (log (/ -1 y)) (- z 1))) (* -1 (/ (- (+ z (* -1 (/ (+ (* -1/2 (- z 1)) (* -1/3 (/ (- z 1) y))) y))) 1) y))) |
(neg.f64 (fma.f64 (+.f64 #s(literal -1 binary64) z) (neg.f64 (log.f64 (neg.f64 y))) (/.f64 (+.f64 #s(literal -1 binary64) (-.f64 z (/.f64 (+.f64 (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (fma.f64 z #s(literal -1/3 binary64) #s(literal 1/3 binary64)) y)) 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)) (neg.f64 (log.f64 (neg.f64 y)))) |
(+ (log -1) (* -1 (log (/ -1 y)))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 y)))) |
(+ (log -1) (* -1 (log (/ -1 y)))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 y)))) |
(+ (log -1) (* -1 (log (/ -1 y)))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 y)))) |
| 1× | batch-egg-rewrite |
| 4 974× | lower-*.f32 |
| 4 962× | lower-*.f64 |
| 4 530× | lower-fma.f32 |
| 4 516× | lower-fma.f64 |
| 3 032× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 50 | 332 |
| 0 | 85 | 316 |
| 1 | 404 | 316 |
| 2 | 3208 | 316 |
| 0 | 8311 | 310 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y)) (*.f64 (-.f64 z #s(literal 1 binary64)) #s(approx (log (- 1 y)) (*.f64 y (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))))) |
(-.f64 (+.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y)) (*.f64 (-.f64 z #s(literal 1 binary64)) #s(approx (log (- 1 y)) (*.f64 y (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))))) t) |
(*.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y)) |
(-.f64 x #s(literal 1 binary64)) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (neg.f64 t)) |
(neg.f64 t) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 (log1p.f64 (neg.f64 y)) z)) t) |
#s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 (log1p.f64 (neg.f64 y)) z)) |
(*.f64 (log1p.f64 (neg.f64 y)) z) |
(log1p.f64 (neg.f64 y)) |
(+.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y)) (*.f64 (-.f64 z #s(literal 1 binary64)) #s(approx (log (- 1 y)) (*.f64 y (fma.f64 y (fma.f64 y #s(literal -1/3 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)))))) |
(-.f64 (+.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y)) (*.f64 (-.f64 z #s(literal 1 binary64)) #s(approx (log (- 1 y)) (*.f64 y (fma.f64 y (fma.f64 y #s(literal -1/3 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)))))) t) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x #s(literal -1 binary64)) (log.f64 y) (fma.f64 (+.f64 z #s(literal -1 binary64)) (log1p.f64 (neg.f64 y)) (neg.f64 t))))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x #s(literal -1 binary64)) (log.f64 y) (fma.f64 (+.f64 z #s(literal -1 binary64)) (log1p.f64 (neg.f64 y)) (neg.f64 t)))) |
(fma.f64 (+.f64 x #s(literal -1 binary64)) (log.f64 y) (fma.f64 (+.f64 z #s(literal -1 binary64)) (log1p.f64 (neg.f64 y)) (neg.f64 t))) |
(+.f64 x #s(literal -1 binary64)) |
#s(approx (log (- 1 y)) (*.f64 y (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) |
(fma.f64 y #s(literal -1/4 binary64) #s(literal -1/3 binary64)) |
(*.f64 (-.f64 z #s(literal 1 binary64)) #s(approx (log (- 1 y)) (*.f64 y (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))))) |
#s(approx (log (- 1 y)) (*.f64 y (fma.f64 y (fma.f64 y #s(literal -1/3 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) |
(*.f64 y (fma.f64 y (fma.f64 y #s(literal -1/3 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (-.f64 z #s(literal 1 binary64)) #s(approx (log (- 1 y)) (*.f64 y (fma.f64 y (fma.f64 y #s(literal -1/3 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))))) |
(log.f64 y) |
| Outputs |
|---|
(+.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (log.f64 y)) (*.f64 (+.f64 z #s(literal -1 binary64)) #s(approx (log (- 1 y)) (*.f64 y (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))))) |
(+.f64 (*.f64 (+.f64 z #s(literal -1 binary64)) #s(approx (log (- 1 y)) (*.f64 y (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))))) (*.f64 (+.f64 x #s(literal -1 binary64)) (log.f64 y))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (log.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (log.f64 y)) (*.f64 (+.f64 z #s(literal -1 binary64)) #s(approx (log (- 1 y)) (*.f64 y (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))))))) (/.f64 (*.f64 (*.f64 (+.f64 z #s(literal -1 binary64)) (+.f64 z #s(literal -1 binary64))) (*.f64 #s(approx (log (- 1 y)) (*.f64 y (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) #s(approx (log (- 1 y)) (*.f64 y (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))))) (-.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (log.f64 y)) (*.f64 (+.f64 z #s(literal -1 binary64)) #s(approx (log (- 1 y)) (*.f64 y (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))))))) |
(fma.f64 (+.f64 x #s(literal -1 binary64)) (log.f64 y) (*.f64 (+.f64 z #s(literal -1 binary64)) #s(approx (log (- 1 y)) (*.f64 y (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))))) |
(fma.f64 (log.f64 y) (+.f64 x #s(literal -1 binary64)) (*.f64 (+.f64 z #s(literal -1 binary64)) #s(approx (log (- 1 y)) (*.f64 y (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))))) |
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(/.f64 (*.f64 y (fma.f64 (*.f64 y (fma.f64 y #s(literal -1/3 binary64) #s(literal -1/2 binary64))) (*.f64 (fma.f64 y #s(literal -1/3 binary64) #s(literal -1/2 binary64)) (*.f64 y (*.f64 y (fma.f64 y #s(literal -1/3 binary64) #s(literal -1/2 binary64))))) #s(literal -1 binary64))) (-.f64 (fma.f64 (fma.f64 y #s(literal -1/3 binary64) #s(literal -1/2 binary64)) (*.f64 y (*.f64 y (fma.f64 y #s(literal -1/3 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64)) (*.f64 (fma.f64 y #s(literal -1/3 binary64) #s(literal -1/2 binary64)) (neg.f64 y)))) |
(/.f64 (*.f64 y (fma.f64 (fma.f64 y #s(literal -1/3 binary64) #s(literal -1/2 binary64)) (*.f64 y (*.f64 y (fma.f64 y #s(literal -1/3 binary64) #s(literal -1/2 binary64)))) #s(literal -1 binary64))) (fma.f64 y (fma.f64 y #s(literal -1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (fma.f64 (*.f64 y (fma.f64 y #s(literal -1/3 binary64) #s(literal -1/2 binary64))) (*.f64 (fma.f64 y #s(literal -1/3 binary64) #s(literal -1/2 binary64)) (*.f64 y (*.f64 y (fma.f64 y #s(literal -1/3 binary64) #s(literal -1/2 binary64))))) #s(literal -1 binary64)) y) (-.f64 (fma.f64 (fma.f64 y #s(literal -1/3 binary64) #s(literal -1/2 binary64)) (*.f64 y (*.f64 y (fma.f64 y #s(literal -1/3 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64)) (*.f64 (fma.f64 y #s(literal -1/3 binary64) #s(literal -1/2 binary64)) (neg.f64 y)))) |
(/.f64 (*.f64 (fma.f64 (fma.f64 y #s(literal -1/3 binary64) #s(literal -1/2 binary64)) (*.f64 y (*.f64 y (fma.f64 y #s(literal -1/3 binary64) #s(literal -1/2 binary64)))) #s(literal -1 binary64)) y) (fma.f64 y (fma.f64 y #s(literal -1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 y (fma.f64 y (fma.f64 y #s(literal -1/3 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 y (fma.f64 y #s(literal -1/3 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) y) |
(+.f64 (*.f64 #s(approx (log (- 1 y)) (*.f64 y (fma.f64 y (fma.f64 y #s(literal -1/3 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) z) (*.f64 #s(approx (log (- 1 y)) (*.f64 y (fma.f64 y (fma.f64 y #s(literal -1/3 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) #s(literal -1 binary64))) |
(+.f64 (*.f64 #s(approx (log (- 1 y)) (*.f64 y (fma.f64 y (fma.f64 y #s(literal -1/3 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) #s(literal -1 binary64)) (*.f64 #s(approx (log (- 1 y)) (*.f64 y (fma.f64 y (fma.f64 y #s(literal -1/3 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) z)) |
(+.f64 (*.f64 z #s(approx (log (- 1 y)) (*.f64 y (fma.f64 y (fma.f64 y #s(literal -1/3 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))))) (*.f64 #s(literal -1 binary64) #s(approx (log (- 1 y)) (*.f64 y (fma.f64 y (fma.f64 y #s(literal -1/3 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)))))) |
(+.f64 (*.f64 #s(literal -1 binary64) #s(approx (log (- 1 y)) (*.f64 y (fma.f64 y (fma.f64 y #s(literal -1/3 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))))) (*.f64 z #s(approx (log (- 1 y)) (*.f64 y (fma.f64 y (fma.f64 y #s(literal -1/3 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)))))) |
(fma.f64 z #s(approx (log (- 1 y)) (*.f64 y (fma.f64 y (fma.f64 y #s(literal -1/3 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) (*.f64 #s(literal -1 binary64) #s(approx (log (- 1 y)) (*.f64 y (fma.f64 y (fma.f64 y #s(literal -1/3 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)))))) |
(fma.f64 #s(literal -1 binary64) #s(approx (log (- 1 y)) (*.f64 y (fma.f64 y (fma.f64 y #s(literal -1/3 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) (*.f64 z #s(approx (log (- 1 y)) (*.f64 y (fma.f64 y (fma.f64 y #s(literal -1/3 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)))))) |
(fma.f64 #s(approx (log (- 1 y)) (*.f64 y (fma.f64 y (fma.f64 y #s(literal -1/3 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) z (*.f64 #s(approx (log (- 1 y)) (*.f64 y (fma.f64 y (fma.f64 y #s(literal -1/3 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) #s(literal -1 binary64))) |
(fma.f64 #s(approx (log (- 1 y)) (*.f64 y (fma.f64 y (fma.f64 y #s(literal -1/3 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) #s(literal -1 binary64) (*.f64 #s(approx (log (- 1 y)) (*.f64 y (fma.f64 y (fma.f64 y #s(literal -1/3 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) z)) |
(/.f64 (*.f64 #s(approx (log (- 1 y)) (*.f64 y (fma.f64 y (fma.f64 y #s(literal -1/3 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) (fma.f64 z (*.f64 z z) #s(literal -1 binary64))) (-.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 z #s(literal -1 binary64)))) |
(/.f64 (*.f64 #s(approx (log (- 1 y)) (*.f64 y (fma.f64 y (fma.f64 y #s(literal -1/3 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) (fma.f64 z (*.f64 z z) #s(literal -1 binary64))) (+.f64 (fma.f64 z z #s(literal 1 binary64)) z)) |
(/.f64 (*.f64 #s(approx (log (- 1 y)) (*.f64 y (fma.f64 y (fma.f64 y #s(literal -1/3 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) (fma.f64 z z #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) z)) |
(/.f64 (*.f64 (fma.f64 z (*.f64 z z) #s(literal -1 binary64)) #s(approx (log (- 1 y)) (*.f64 y (fma.f64 y (fma.f64 y #s(literal -1/3 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))))) (-.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 z #s(literal -1 binary64)))) |
(/.f64 (*.f64 (fma.f64 z (*.f64 z z) #s(literal -1 binary64)) #s(approx (log (- 1 y)) (*.f64 y (fma.f64 y (fma.f64 y #s(literal -1/3 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))))) (+.f64 (fma.f64 z z #s(literal 1 binary64)) z)) |
(/.f64 (*.f64 (fma.f64 z z #s(literal -1 binary64)) #s(approx (log (- 1 y)) (*.f64 y (fma.f64 y (fma.f64 y #s(literal -1/3 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))))) (+.f64 #s(literal 1 binary64) z)) |
(*.f64 (+.f64 z #s(literal -1 binary64)) #s(approx (log (- 1 y)) (*.f64 y (fma.f64 y (fma.f64 y #s(literal -1/3 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))))) |
(*.f64 #s(approx (log (- 1 y)) (*.f64 y (fma.f64 y (fma.f64 y #s(literal -1/3 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) (+.f64 z #s(literal -1 binary64))) |
(log.f64 y) |
(+.f64 (log.f64 y) #s(literal 0 binary64)) |
(+.f64 #s(literal 0 binary64) (log.f64 y)) |
Compiled 87 523 to 4 197 computations (95.2% saved)
28 alts after pruning (27 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 862 | 18 | 1 880 |
| Fresh | 4 | 9 | 13 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 870 | 28 | 1 898 |
| Status | Accuracy | Program |
|---|---|---|
| 62.3% | (fma.f64 (*.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) (log.f64 y)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x #s(literal 1 binary64)) x)) (fma.f64 (+.f64 z #s(literal -1 binary64)) (log1p.f64 (neg.f64 y)) (neg.f64 t))) | |
| 73.2% | (fma.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (log.f64 y)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (fma.f64 (+.f64 z #s(literal -1 binary64)) (log1p.f64 (neg.f64 y)) (neg.f64 t))) | |
| 57.7% | (pow.f64 (pow.f64 (fma.f64 (+.f64 z #s(literal -1 binary64)) (log1p.f64 (neg.f64 y)) (fma.f64 (+.f64 x #s(literal -1 binary64)) (log.f64 y) (neg.f64 t))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) | |
| 57.7% | (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (fma.f64 (+.f64 z #s(literal -1 binary64)) (log1p.f64 (neg.f64 y)) (fma.f64 (+.f64 x #s(literal -1 binary64)) (log.f64 y) (neg.f64 t))) #s(literal -1/2 binary64)) #s(literal 2 binary64))) | |
| ▶ | 40.0% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (+ x -1) (log y)) (+ (* (+ z -1) (log (+ 1 (neg y)))) (neg t))) (*.f64 (log.f64 y) x)))) |
| 39.8% | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ x -1) (log y)) (+ (* (+ z -1) (log (+ 1 (neg y)))) (neg t)))) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (log.f64 y)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (log.f64 y)) (-.f64 (/.f64 t (pow.f64 (log.f64 y) #s(literal 2 binary64))) (/.f64 (*.f64 (log1p.f64 (neg.f64 y)) (+.f64 #s(literal -1 binary64) z)) (pow.f64 (log.f64 y) #s(literal 2 binary64))))) x)) (neg.f64 x)))) | |
| 35.4% | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ x -1) (log y)) (+ (* (+ z -1) (log (+ 1 (neg y)))) (neg t)))) (/.f64 #s(literal -1 binary64) t))) | |
| 62.3% | (-.f64 (+.f64 (/.f64 (*.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) (log.f64 y)) (+.f64 (fma.f64 x x #s(literal 1 binary64)) x)) (*.f64 (-.f64 z #s(literal 1 binary64)) #s(approx (log (- 1 y)) (*.f64 y (fma.f64 y (fma.f64 y #s(literal -1/3 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)))))) t) | |
| 73.1% | (-.f64 (+.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (log.f64 y)) (+.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 z #s(literal 1 binary64)) #s(approx (log (- 1 y)) (*.f64 y (fma.f64 y (fma.f64 y #s(literal -1/3 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)))))) t) | |
| ▶ | 91.3% | (-.f64 (+.f64 (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) (*.f64 (-.f64 z #s(literal 1 binary64)) (log.f64 (-.f64 #s(literal 1 binary64) y)))) t) |
| 61.4% | (-.f64 (+.f64 #s(approx (* (- x 1) (log y)) (neg.f64 (log.f64 y))) (*.f64 (-.f64 z #s(literal 1 binary64)) #s(approx (log (- 1 y)) (*.f64 y (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))))) t) | |
| 61.4% | (-.f64 (+.f64 #s(approx (* (- x 1) (log y)) (neg.f64 (log.f64 y))) (*.f64 (-.f64 z #s(literal 1 binary64)) #s(approx (log (- 1 y)) (*.f64 y (fma.f64 y (fma.f64 y #s(literal -1/3 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)))))) t) | |
| 99.6% | (-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (fma.f64 y (-.f64 #s(literal 1 binary64) z) (*.f64 (log.f64 y) (+.f64 #s(literal -1 binary64) x)))) t) | |
| ▶ | 99.7% | (-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (fma.f64 y (*.f64 (+.f64 #s(literal -1 binary64) z) (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))) (*.f64 (log.f64 y) (+.f64 #s(literal -1 binary64) x)))) t) |
| 91.1% | (-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 (log.f64 y) (+.f64 #s(literal -1 binary64) x))) t) | |
| 73.3% | (-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 (log.f64 y) x)) t) | |
| 43.8% | (-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 #s(approx (log (+ 1 (neg y))) (*.f64 y (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) z)) t) | |
| 43.8% | (-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 #s(approx (log (+ 1 (neg y))) (*.f64 y (fma.f64 y (fma.f64 y #s(literal -1/3 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) z)) t) | |
| 43.8% | (-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 #s(approx (log (+ 1 (neg y))) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)))) z)) t) | |
| ▶ | 43.8% | (-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 #s(approx (log (+ 1 (neg y))) (neg.f64 y)) z)) t) |
| 10.8% | #s(approx (/ 1 (/ 1 (+ (* (+ x -1) (log y)) (+ (* (+ z -1) (log (+ 1 (neg y)))) (neg t))))) (*.f64 (log1p.f64 (neg.f64 y)) z)) | |
| 40.1% | #s(approx (/ 1 (/ 1 (+ (* (+ x -1) (log y)) (+ (* (+ z -1) (log (+ 1 (neg y)))) (neg t))))) (*.f64 (log.f64 y) x)) | |
| 82.0% | #s(approx (/ 1 (/ 1 (+ (* (+ x -1) (log y)) (+ (* (+ z -1) (log (+ 1 (neg y)))) (neg t))))) (*.f64 t (fma.f64 (log1p.f64 (neg.f64 y)) (/.f64 (+.f64 #s(literal -1 binary64) z) t) (fma.f64 (+.f64 #s(literal -1 binary64) x) (/.f64 (log.f64 y) t) #s(literal -1 binary64))))) | |
| ▶ | 6.6% | #s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) (+.f64 #s(literal 0 binary64) (fma.f64 t t (*.f64 #s(literal 0 binary64) t))))) |
| 13.4% | #s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (+.f64 #s(literal 0 binary64) t))) | |
| 87.4% | #s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (-.f64 (*.f64 t (/.f64 (fma.f64 (log.f64 y) (+.f64 #s(literal -1 binary64) x) (*.f64 (log1p.f64 (neg.f64 y)) (+.f64 #s(literal -1 binary64) z))) t)) t)) | |
| 82.0% | #s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (*.f64 t (fma.f64 (log1p.f64 (neg.f64 y)) (/.f64 (+.f64 #s(literal -1 binary64) z) t) (fma.f64 (log.f64 y) (/.f64 (+.f64 #s(literal -1 binary64) x) t) #s(literal -1 binary64))))) | |
| ✓ | 35.5% | #s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (neg.f64 t)) |
Compiled 1 159 to 747 computations (35.5% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (-.f64 (+.f64 (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) (*.f64 (-.f64 z #s(literal 1 binary64)) (log.f64 (-.f64 #s(literal 1 binary64) y)))) t) |
| ✓ | cost-diff | 64 | (log.f64 (-.f64 #s(literal 1 binary64) y)) |
| ✓ | cost-diff | 128 | (+.f64 (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) (*.f64 (-.f64 z #s(literal 1 binary64)) (log.f64 (-.f64 #s(literal 1 binary64) y)))) |
| ✓ | cost-diff | 1088 | (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) |
| ✓ | cost-diff | 0 | (*.f64 (log.f64 y) x) |
| ✓ | cost-diff | 0 | #s(approx (+ (* (+ x -1) (log y)) (+ (* (+ z -1) (log (+ 1 (neg y)))) (neg t))) (*.f64 (log.f64 y) x)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) #s(approx (+ (* (+ x -1) (log y)) (+ (* (+ z -1) (log (+ 1 (neg y)))) (neg t))) (*.f64 (log.f64 y) x))) |
| ✓ | cost-diff | 1408 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (+ x -1) (log y)) (+ (* (+ z -1) (log (+ 1 (neg y)))) (neg t))) (*.f64 (log.f64 y) x)))) |
| ✓ | cost-diff | 64 | (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) |
| ✓ | cost-diff | 192 | (+.f64 #s(literal 0 binary64) (fma.f64 t t (*.f64 #s(literal 0 binary64) t))) |
| ✓ | cost-diff | 320 | (*.f64 #s(literal 0 binary64) t) |
| ✓ | cost-diff | 1664 | (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) (+.f64 #s(literal 0 binary64) (fma.f64 t t (*.f64 #s(literal 0 binary64) t)))) |
| ✓ | cost-diff | 0 | #s(approx (log (+ 1 (neg y))) (neg.f64 y)) |
| ✓ | cost-diff | 0 | (*.f64 #s(approx (log (+ 1 (neg y))) (neg.f64 y)) z) |
| ✓ | cost-diff | 0 | #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 #s(approx (log (+ 1 (neg y))) (neg.f64 y)) z)) |
| ✓ | cost-diff | 0 | (-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 #s(approx (log (+ 1 (neg y))) (neg.f64 y)) z)) t) |
| ✓ | cost-diff | 0 | (*.f64 (+.f64 #s(literal -1 binary64) z) (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))) |
| ✓ | cost-diff | 0 | (fma.f64 y (*.f64 (+.f64 #s(literal -1 binary64) z) (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))) (*.f64 (log.f64 y) (+.f64 #s(literal -1 binary64) x))) |
| ✓ | cost-diff | 0 | #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (fma.f64 y (*.f64 (+.f64 #s(literal -1 binary64) z) (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))) (*.f64 (log.f64 y) (+.f64 #s(literal -1 binary64) x)))) |
| ✓ | cost-diff | 0 | (-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (fma.f64 y (*.f64 (+.f64 #s(literal -1 binary64) z) (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))) (*.f64 (log.f64 y) (+.f64 #s(literal -1 binary64) x)))) t) |
| 12 004× | lower-fma.f32 |
| 11 998× | lower-fma.f64 |
| 2 550× | lower-*.f32 |
| 2 536× | lower-*.f64 |
| 2 198× | lower--.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 62 | 440 |
| 0 | 93 | 391 |
| 1 | 179 | 389 |
| 2 | 373 | 377 |
| 3 | 1019 | 377 |
| 4 | 2678 | 377 |
| 5 | 6058 | 377 |
| 0 | 8201 | 351 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (fma.f64 y (*.f64 (+.f64 #s(literal -1 binary64) z) (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))) (*.f64 (log.f64 y) (+.f64 #s(literal -1 binary64) x)))) t) |
#s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (fma.f64 y (*.f64 (+.f64 #s(literal -1 binary64) z) (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))) (*.f64 (log.f64 y) (+.f64 #s(literal -1 binary64) x)))) |
(fma.f64 y (*.f64 (+.f64 #s(literal -1 binary64) z) (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))) (*.f64 (log.f64 y) (+.f64 #s(literal -1 binary64) x))) |
y |
(*.f64 (+.f64 #s(literal -1 binary64) z) (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))) |
(+.f64 #s(literal -1 binary64) z) |
#s(literal -1 binary64) |
z |
(fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) |
#s(literal -1/2 binary64) |
(*.f64 (log.f64 y) (+.f64 #s(literal -1 binary64) x)) |
(log.f64 y) |
(+.f64 #s(literal -1 binary64) x) |
x |
t |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 #s(approx (log (+ 1 (neg y))) (neg.f64 y)) z)) t) |
#s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 #s(approx (log (+ 1 (neg y))) (neg.f64 y)) z)) |
(*.f64 #s(approx (log (+ 1 (neg y))) (neg.f64 y)) z) |
#s(approx (log (+ 1 (neg y))) (neg.f64 y)) |
(neg.f64 y) |
y |
z |
t |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) (+.f64 #s(literal 0 binary64) (fma.f64 t t (*.f64 #s(literal 0 binary64) t))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) (+.f64 #s(literal 0 binary64) (fma.f64 t t (*.f64 #s(literal 0 binary64) t)))) |
(-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) |
#s(literal 0 binary64) |
(*.f64 t (*.f64 t t)) |
t |
(*.f64 t t) |
(+.f64 #s(literal 0 binary64) (fma.f64 t t (*.f64 #s(literal 0 binary64) t))) |
(fma.f64 t t (*.f64 #s(literal 0 binary64) t)) |
(*.f64 #s(literal 0 binary64) t) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (+ x -1) (log y)) (+ (* (+ z -1) (log (+ 1 (neg y)))) (neg t))) (*.f64 (log.f64 y) x)))) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) #s(approx (+ (* (+ x -1) (log y)) (+ (* (+ z -1) (log (+ 1 (neg y)))) (neg t))) (*.f64 (log.f64 y) x))) |
#s(approx (+ (* (+ x -1) (log y)) (+ (* (+ z -1) (log (+ 1 (neg y)))) (neg t))) (*.f64 (log.f64 y) x)) |
(*.f64 (log.f64 y) x) |
(log.f64 y) |
y |
x |
(-.f64 (+.f64 (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) (*.f64 (-.f64 z #s(literal 1 binary64)) (log.f64 (-.f64 #s(literal 1 binary64) y)))) t) |
(+.f64 (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) (*.f64 (-.f64 z #s(literal 1 binary64)) (log.f64 (-.f64 #s(literal 1 binary64) y)))) |
(/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) |
(log.f64 y) |
y |
(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) |
#s(literal 1 binary64) |
(+.f64 x #s(literal -1 binary64)) |
x |
#s(literal -1 binary64) |
(*.f64 (-.f64 z #s(literal 1 binary64)) (log.f64 (-.f64 #s(literal 1 binary64) y))) |
(-.f64 z #s(literal 1 binary64)) |
z |
(log.f64 (-.f64 #s(literal 1 binary64) y)) |
(-.f64 #s(literal 1 binary64) y) |
t |
| Outputs |
|---|
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (fma.f64 y (*.f64 (+.f64 #s(literal -1 binary64) z) (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))) (*.f64 (log.f64 y) (+.f64 #s(literal -1 binary64) x)))) t) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (fma.f64 y (*.f64 (+.f64 z #s(literal -1 binary64)) (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))) (*.f64 (log.f64 y) (+.f64 x #s(literal -1 binary64))))) t) |
#s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (fma.f64 y (*.f64 (+.f64 #s(literal -1 binary64) z) (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))) (*.f64 (log.f64 y) (+.f64 #s(literal -1 binary64) x)))) |
#s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (fma.f64 y (*.f64 (+.f64 z #s(literal -1 binary64)) (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))) (*.f64 (log.f64 y) (+.f64 x #s(literal -1 binary64))))) |
(fma.f64 y (*.f64 (+.f64 #s(literal -1 binary64) z) (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))) (*.f64 (log.f64 y) (+.f64 #s(literal -1 binary64) x))) |
(fma.f64 y (*.f64 (+.f64 z #s(literal -1 binary64)) (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))) (*.f64 (log.f64 y) (+.f64 x #s(literal -1 binary64)))) |
y |
(*.f64 (+.f64 #s(literal -1 binary64) z) (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))) |
(*.f64 (+.f64 z #s(literal -1 binary64)) (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))) |
(+.f64 #s(literal -1 binary64) z) |
(+.f64 z #s(literal -1 binary64)) |
#s(literal -1 binary64) |
z |
(fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) |
#s(literal -1/2 binary64) |
(*.f64 (log.f64 y) (+.f64 #s(literal -1 binary64) x)) |
(*.f64 (log.f64 y) (+.f64 x #s(literal -1 binary64))) |
(log.f64 y) |
(+.f64 #s(literal -1 binary64) x) |
(+.f64 x #s(literal -1 binary64)) |
x |
t |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 #s(approx (log (+ 1 (neg y))) (neg.f64 y)) z)) t) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z #s(approx (log (+ 1 (neg y))) (neg.f64 y)))) t) |
#s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 #s(approx (log (+ 1 (neg y))) (neg.f64 y)) z)) |
#s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z #s(approx (log (+ 1 (neg y))) (neg.f64 y)))) |
(*.f64 #s(approx (log (+ 1 (neg y))) (neg.f64 y)) z) |
(*.f64 z #s(approx (log (+ 1 (neg y))) (neg.f64 y))) |
#s(approx (log (+ 1 (neg y))) (neg.f64 y)) |
(neg.f64 y) |
y |
z |
t |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) (+.f64 #s(literal 0 binary64) (fma.f64 t t (*.f64 #s(literal 0 binary64) t))))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (neg.f64 t)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) (+.f64 #s(literal 0 binary64) (fma.f64 t t (*.f64 #s(literal 0 binary64) t)))) |
(neg.f64 t) |
(-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) |
(neg.f64 (*.f64 t (*.f64 t t))) |
#s(literal 0 binary64) |
(*.f64 t (*.f64 t t)) |
t |
(*.f64 t t) |
(+.f64 #s(literal 0 binary64) (fma.f64 t t (*.f64 #s(literal 0 binary64) t))) |
(*.f64 t t) |
(fma.f64 t t (*.f64 #s(literal 0 binary64) t)) |
(*.f64 t t) |
(*.f64 #s(literal 0 binary64) t) |
#s(literal 0 binary64) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (+ x -1) (log y)) (+ (* (+ z -1) (log (+ 1 (neg y)))) (neg t))) (*.f64 (log.f64 y) x)))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (*.f64 x (log.f64 y))) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) #s(approx (+ (* (+ x -1) (log y)) (+ (* (+ z -1) (log (+ 1 (neg y)))) (neg t))) (*.f64 (log.f64 y) x))) |
(/.f64 #s(literal 1 binary64) #s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (*.f64 x (log.f64 y)))) |
#s(approx (+ (* (+ x -1) (log y)) (+ (* (+ z -1) (log (+ 1 (neg y)))) (neg t))) (*.f64 (log.f64 y) x)) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (*.f64 x (log.f64 y))) |
(*.f64 (log.f64 y) x) |
(*.f64 x (log.f64 y)) |
(log.f64 y) |
y |
x |
(-.f64 (+.f64 (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) (*.f64 (-.f64 z #s(literal 1 binary64)) (log.f64 (-.f64 #s(literal 1 binary64) y)))) t) |
(-.f64 (*.f64 (log.f64 y) (+.f64 x #s(literal -1 binary64))) (fma.f64 (log1p.f64 (neg.f64 y)) (-.f64 #s(literal 1 binary64) z) t)) |
(+.f64 (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) (*.f64 (-.f64 z #s(literal 1 binary64)) (log.f64 (-.f64 #s(literal 1 binary64) y)))) |
(fma.f64 (+.f64 z #s(literal -1 binary64)) (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) (+.f64 x #s(literal -1 binary64)))) |
(/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) |
(*.f64 (log.f64 y) (+.f64 x #s(literal -1 binary64))) |
(log.f64 y) |
y |
(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) |
#s(literal 1 binary64) |
(+.f64 x #s(literal -1 binary64)) |
x |
#s(literal -1 binary64) |
(*.f64 (-.f64 z #s(literal 1 binary64)) (log.f64 (-.f64 #s(literal 1 binary64) y))) |
(*.f64 (+.f64 z #s(literal -1 binary64)) (log1p.f64 (neg.f64 y))) |
(-.f64 z #s(literal 1 binary64)) |
(+.f64 z #s(literal -1 binary64)) |
z |
(log.f64 (-.f64 #s(literal 1 binary64) y)) |
(log1p.f64 (neg.f64 y)) |
(-.f64 #s(literal 1 binary64) y) |
t |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) |
| ✓ | accuracy | 100.0% | (*.f64 (-.f64 z #s(literal 1 binary64)) (log.f64 (-.f64 #s(literal 1 binary64) y))) |
| ✓ | accuracy | 99.6% | (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) |
| ✓ | accuracy | 7.6% | (log.f64 (-.f64 #s(literal 1 binary64) y)) |
| ✓ | accuracy | 99.6% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (+ x -1) (log y)) (+ (* (+ z -1) (log (+ 1 (neg y)))) (neg t))) (*.f64 (log.f64 y) x)))) |
| ✓ | accuracy | 99.5% | (*.f64 (log.f64 y) x) |
| ✓ | accuracy | 99.4% | (/.f64 #s(literal 1 binary64) #s(approx (+ (* (+ x -1) (log y)) (+ (* (+ z -1) (log (+ 1 (neg y)))) (neg t))) (*.f64 (log.f64 y) x))) |
| ✓ | accuracy | 40.3% | #s(approx (+ (* (+ x -1) (log y)) (+ (* (+ z -1) (log (+ 1 (neg y)))) (neg t))) (*.f64 (log.f64 y) x)) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal 0 binary64) t) |
| ✓ | accuracy | 99.8% | (*.f64 t (*.f64 t t)) |
| ✓ | accuracy | 37.2% | (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) (+.f64 #s(literal 0 binary64) (fma.f64 t t (*.f64 #s(literal 0 binary64) t)))) |
| ✓ | accuracy | 35.5% | #s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) (+.f64 #s(literal 0 binary64) (fma.f64 t t (*.f64 #s(literal 0 binary64) t))))) |
| ✓ | accuracy | 100.0% | (-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 #s(approx (log (+ 1 (neg y))) (neg.f64 y)) z)) t) |
| ✓ | accuracy | 100.0% | (*.f64 #s(approx (log (+ 1 (neg y))) (neg.f64 y)) z) |
| ✓ | accuracy | 98.5% | #s(approx (log (+ 1 (neg y))) (neg.f64 y)) |
| ✓ | accuracy | 15.4% | #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 #s(approx (log (+ 1 (neg y))) (neg.f64 y)) z)) |
| ✓ | accuracy | 100.0% | (-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (fma.f64 y (*.f64 (+.f64 #s(literal -1 binary64) z) (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))) (*.f64 (log.f64 y) (+.f64 #s(literal -1 binary64) x)))) t) |
| ✓ | accuracy | 100.0% | (*.f64 (+.f64 #s(literal -1 binary64) z) (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))) |
| ✓ | accuracy | 99.7% | (*.f64 (log.f64 y) (+.f64 #s(literal -1 binary64) x)) |
| ✓ | accuracy | 99.6% | #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (fma.f64 y (*.f64 (+.f64 #s(literal -1 binary64) z) (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))) (*.f64 (log.f64 y) (+.f64 #s(literal -1 binary64) x)))) |
| 309.0ms | 183× | 1 | valid |
| 76.0ms | 65× | 2 | valid |
| 3.0ms | 8× | 0 | valid |
Compiled 355 to 51 computations (85.6% saved)
ival-sub: 150.0ms (47.9% of total)ival-log: 44.0ms (14% of total)adjust: 39.0ms (12.4% of total)ival-mult: 31.0ms (9.9% of total)ival-add: 27.0ms (8.6% of total)ival-div: 17.0ms (5.4% of total)ival-log1p: 2.0ms (0.6% of total)ival-neg: 2.0ms (0.6% of total)exact: 1.0ms (0.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (fma.f64 y (*.f64 (+.f64 #s(literal -1 binary64) z) (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))) (*.f64 (log.f64 y) (+.f64 #s(literal -1 binary64) x)))) t)> |
#<alt #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (fma.f64 y (*.f64 (+.f64 #s(literal -1 binary64) z) (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))) (*.f64 (log.f64 y) (+.f64 #s(literal -1 binary64) x))))> |
#<alt (fma.f64 y (*.f64 (+.f64 #s(literal -1 binary64) z) (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))) (*.f64 (log.f64 y) (+.f64 #s(literal -1 binary64) x)))> |
#<alt (*.f64 (+.f64 #s(literal -1 binary64) z) (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)))> |
#<alt (-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 #s(approx (log (+ 1 (neg y))) (neg.f64 y)) z)) t)> |
#<alt #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 #s(approx (log (+ 1 (neg y))) (neg.f64 y)) z))> |
#<alt (*.f64 #s(approx (log (+ 1 (neg y))) (neg.f64 y)) z)> |
#<alt #s(approx (log (+ 1 (neg y))) (neg.f64 y))> |
#<alt (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) (+.f64 #s(literal 0 binary64) (fma.f64 t t (*.f64 #s(literal 0 binary64) t))))> |
#<alt (*.f64 #s(literal 0 binary64) t)> |
#<alt (+.f64 #s(literal 0 binary64) (fma.f64 t t (*.f64 #s(literal 0 binary64) t)))> |
#<alt (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t)))> |
#<alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (+ x -1) (log y)) (+ (* (+ z -1) (log (+ 1 (neg y)))) (neg t))) (*.f64 (log.f64 y) x))))> |
#<alt (/.f64 #s(literal 1 binary64) #s(approx (+ (* (+ x -1) (log y)) (+ (* (+ z -1) (log (+ 1 (neg y)))) (neg t))) (*.f64 (log.f64 y) x)))> |
#<alt #s(approx (+ (* (+ x -1) (log y)) (+ (* (+ z -1) (log (+ 1 (neg y)))) (neg t))) (*.f64 (log.f64 y) x))> |
#<alt (*.f64 (log.f64 y) x)> |
#<alt (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))> |
#<alt (+.f64 (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) (*.f64 (-.f64 z #s(literal 1 binary64)) (log.f64 (-.f64 #s(literal 1 binary64) y))))> |
#<alt (log.f64 (-.f64 #s(literal 1 binary64) y))> |
#<alt (-.f64 (+.f64 (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) (*.f64 (-.f64 z #s(literal 1 binary64)) (log.f64 (-.f64 #s(literal 1 binary64) y)))) t)> |
#<alt (*.f64 (log.f64 y) (+.f64 #s(literal -1 binary64) x))> |
#<alt #s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) (+.f64 #s(literal 0 binary64) (fma.f64 t t (*.f64 #s(literal 0 binary64) t)))))> |
#<alt (*.f64 t (*.f64 t t))> |
#<alt (*.f64 (-.f64 z #s(literal 1 binary64)) (log.f64 (-.f64 #s(literal 1 binary64) y)))> |
#<alt (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))> |
| Outputs |
|---|
#<alt (- (+ (* -1 (log y)) (* (log (- 1 y)) (- z 1))) t)> |
#<alt (- (+ (* -1 (log y)) (+ (* x (log y)) (* (log (- 1 y)) (- z 1)))) t)> |
#<alt (- (+ (* -1 (log y)) (+ (* x (log y)) (* (log (- 1 y)) (- z 1)))) t)> |
#<alt (- (+ (* -1 (log y)) (+ (* x (log y)) (* (log (- 1 y)) (- z 1)))) t)> |
#<alt (* x (log y))> |
#<alt (* x (- (+ (log y) (+ (* -1 (/ (log y) x)) (/ (* (log (- 1 y)) (- z 1)) x))) (/ t x)))> |
#<alt (* x (- (+ (log y) (+ (* -1 (/ (log y) x)) (/ (* (log (- 1 y)) (- z 1)) x))) (/ t x)))> |
#<alt (* x (- (+ (log y) (+ (* -1 (/ (log y) x)) (/ (* (log (- 1 y)) (- z 1)) x))) (/ t x)))> |
#<alt (* x (log y))> |
#<alt (* -1 (* x (+ (* -1 (log y)) (* -1 (/ (- (+ (* -1 (log y)) (* (log (- 1 y)) (- z 1))) t) x)))))> |
#<alt (* -1 (* x (+ (* -1 (log y)) (* -1 (/ (- (+ (* -1 (log y)) (* (log (- 1 y)) (- z 1))) t) x)))))> |
#<alt (* -1 (* x (+ (* -1 (log y)) (* -1 (/ (- (+ (* -1 (log y)) (* (log (- 1 y)) (- z 1))) t) x)))))> |
#<alt (- (* (log y) (- x 1)) t)> |
#<alt (- (+ (* -1 (* y (- z 1))) (* (log y) (- x 1))) t)> |
#<alt (- (+ (* y (+ (* -1 (- z 1)) (* -1/2 (* y (- z 1))))) (* (log y) (- x 1))) t)> |
#<alt (- (+ (* y (+ (* -1 (- z 1)) (* y (+ (* -1/2 (- z 1)) (* -1/3 (* y (- z 1))))))) (* (log y) (- x 1))) t)> |
#<alt (- (+ (* -1 (* (log (/ 1 y)) (- x 1))) (* (+ (log -1) (* -1 (log (/ 1 y)))) (- z 1))) t)> |
#<alt (- (+ (* -1 (* (log (/ 1 y)) (- x 1))) (+ (* -1 (/ (- z 1) y)) (* (+ (log -1) (* -1 (log (/ 1 y)))) (- z 1)))) t)> |
#<alt (- (+ (* -1 (* (log (/ 1 y)) (- x 1))) (+ (* -1 (/ (- z 1) y)) (+ (* -1/2 (/ (- z 1) (pow y 2))) (* (+ (log -1) (* -1 (log (/ 1 y)))) (- z 1))))) t)> |
#<alt (- (+ (* -1 (* (log (/ 1 y)) (- x 1))) (+ (* -1 (/ (- z 1) y)) (+ (* -1/2 (/ (- z 1) (pow y 2))) (+ (* -1/3 (/ (- z 1) (pow y 3))) (* (+ (log -1) (* -1 (log (/ 1 y)))) (- z 1)))))) t)> |
#<alt (- (+ (* -1 (* (log (/ -1 y)) (- z 1))) (* (+ (log -1) (* -1 (log (/ -1 y)))) (- x 1))) t)> |
#<alt (- (+ (* -1 (* (log (/ -1 y)) (- z 1))) (+ (* -1 (/ (- z 1) y)) (* (+ (log -1) (* -1 (log (/ -1 y)))) (- x 1)))) t)> |
#<alt (- (+ (* -1 (* (log (/ -1 y)) (- z 1))) (+ (* -1 (/ (- (+ z (* 1/2 (/ (- z 1) y))) 1) y)) (* (+ (log -1) (* -1 (log (/ -1 y)))) (- x 1)))) t)> |
#<alt (- (+ (* -1 (* (log (/ -1 y)) (- z 1))) (+ (* -1 (/ (- (+ z (* -1 (/ (+ (* -1/2 (- z 1)) (* -1/3 (/ (- z 1) y))) y))) 1) y)) (* (+ (log -1) (* -1 (log (/ -1 y)))) (- x 1)))) t)> |
#<alt (- (+ (* -1 (log (- 1 y))) (* (log y) (- x 1))) t)> |
#<alt (- (+ (* -1 (log (- 1 y))) (+ (* z (log (- 1 y))) (* (log y) (- x 1)))) t)> |
#<alt (- (+ (* -1 (log (- 1 y))) (+ (* z (log (- 1 y))) (* (log y) (- x 1)))) t)> |
#<alt (- (+ (* -1 (log (- 1 y))) (+ (* z (log (- 1 y))) (* (log y) (- x 1)))) t)> |
#<alt (* z (log (- 1 y)))> |
#<alt (* z (- (+ (log (- 1 y)) (+ (* -1 (/ (log (- 1 y)) z)) (/ (* (log y) (- x 1)) z))) (/ t z)))> |
#<alt (* z (- (+ (log (- 1 y)) (+ (* -1 (/ (log (- 1 y)) z)) (/ (* (log y) (- x 1)) z))) (/ t z)))> |
#<alt (* z (- (+ (log (- 1 y)) (+ (* -1 (/ (log (- 1 y)) z)) (/ (* (log y) (- x 1)) z))) (/ t z)))> |
#<alt (* z (log (- 1 y)))> |
#<alt (* -1 (* z (+ (* -1 (log (- 1 y))) (* -1 (/ (- (+ (* -1 (log (- 1 y))) (* (log y) (- x 1))) t) z)))))> |
#<alt (* -1 (* z (+ (* -1 (log (- 1 y))) (* -1 (/ (- (+ (* -1 (log (- 1 y))) (* (log y) (- x 1))) t) z)))))> |
#<alt (* -1 (* z (+ (* -1 (log (- 1 y))) (* -1 (/ (- (+ (* -1 (log (- 1 y))) (* (log y) (- x 1))) t) z)))))> |
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#<alt (* -1 (* x (+ (* -1 (log y)) (* -1 (/ (- (+ (* -1 (log y)) (* (log (- 1 y)) (- z 1))) t) x)))))> |
#<alt (* -1 (* x (+ (* -1 (log y)) (* -1 (/ (- (+ (* -1 (log y)) (* (log (- 1 y)) (- z 1))) t) x)))))> |
#<alt (* -1 (* x (+ (* -1 (log y)) (* -1 (/ (- (+ (* -1 (log y)) (* (log (- 1 y)) (- z 1))) t) x)))))> |
#<alt (- (* (log y) (- x 1)) t)> |
#<alt (- (+ (* -1 (* y (- z 1))) (* (log y) (- x 1))) t)> |
#<alt (- (+ (* y (+ (* -1 (- z 1)) (* -1/2 (* y (- z 1))))) (* (log y) (- x 1))) t)> |
#<alt (- (+ (* y (+ (* -1 (- z 1)) (* y (+ (* -1/2 (- z 1)) (* -1/3 (* y (- z 1))))))) (* (log y) (- x 1))) t)> |
#<alt (- (+ (* -1 (* (log (/ 1 y)) (- x 1))) (* (+ (log -1) (* -1 (log (/ 1 y)))) (- z 1))) t)> |
#<alt (- (+ (* -1 (* (log (/ 1 y)) (- x 1))) (+ (* -1 (/ (- z 1) y)) (* (+ (log -1) (* -1 (log (/ 1 y)))) (- z 1)))) t)> |
#<alt (- (+ (* -1 (* (log (/ 1 y)) (- x 1))) (+ (* -1 (/ (- z 1) y)) (+ (* -1/2 (/ (- z 1) (pow y 2))) (* (+ (log -1) (* -1 (log (/ 1 y)))) (- z 1))))) t)> |
#<alt (- (+ (* -1 (* (log (/ 1 y)) (- x 1))) (+ (* -1 (/ (- z 1) y)) (+ (* -1/2 (/ (- z 1) (pow y 2))) (+ (* -1/3 (/ (- z 1) (pow y 3))) (* (+ (log -1) (* -1 (log (/ 1 y)))) (- z 1)))))) t)> |
#<alt (- (+ (* -1 (* (log (/ -1 y)) (- z 1))) (* (+ (log -1) (* -1 (log (/ -1 y)))) (- x 1))) t)> |
#<alt (- (+ (* -1 (* (log (/ -1 y)) (- z 1))) (+ (* -1 (/ (- z 1) y)) (* (+ (log -1) (* -1 (log (/ -1 y)))) (- x 1)))) t)> |
#<alt (- (+ (* -1 (* (log (/ -1 y)) (- z 1))) (+ (* -1 (/ (- (+ z (* 1/2 (/ (- z 1) y))) 1) y)) (* (+ (log -1) (* -1 (log (/ -1 y)))) (- x 1)))) t)> |
#<alt (- (+ (* -1 (* (log (/ -1 y)) (- z 1))) (+ (* -1 (/ (- (+ z (* -1 (/ (+ (* -1/2 (- z 1)) (* -1/3 (/ (- z 1) y))) y))) 1) y)) (* (+ (log -1) (* -1 (log (/ -1 y)))) (- x 1)))) t)> |
#<alt (- (+ (* -1 (log (- 1 y))) (* (log y) (- x 1))) t)> |
#<alt (- (+ (* -1 (log (- 1 y))) (+ (* z (log (- 1 y))) (* (log y) (- x 1)))) t)> |
#<alt (- (+ (* -1 (log (- 1 y))) (+ (* z (log (- 1 y))) (* (log y) (- x 1)))) t)> |
#<alt (- (+ (* -1 (log (- 1 y))) (+ (* z (log (- 1 y))) (* (log y) (- x 1)))) t)> |
#<alt (* z (log (- 1 y)))> |
#<alt (* z (- (+ (log (- 1 y)) (+ (* -1 (/ (log (- 1 y)) z)) (/ (* (log y) (- x 1)) z))) (/ t z)))> |
#<alt (* z (- (+ (log (- 1 y)) (+ (* -1 (/ (log (- 1 y)) z)) (/ (* (log y) (- x 1)) z))) (/ t z)))> |
#<alt (* z (- (+ (log (- 1 y)) (+ (* -1 (/ (log (- 1 y)) z)) (/ (* (log y) (- x 1)) z))) (/ t z)))> |
#<alt (* z (log (- 1 y)))> |
#<alt (* -1 (* z (+ (* -1 (log (- 1 y))) (* -1 (/ (- (+ (* -1 (log (- 1 y))) (* (log y) (- x 1))) t) z)))))> |
#<alt (* -1 (* z (+ (* -1 (log (- 1 y))) (* -1 (/ (- (+ (* -1 (log (- 1 y))) (* (log y) (- x 1))) t) z)))))> |
#<alt (* -1 (* z (+ (* -1 (log (- 1 y))) (* -1 (/ (- (+ (* -1 (log (- 1 y))) (* (log y) (- x 1))) t) z)))))> |
#<alt (+ (* (log y) (- x 1)) (* (log (- 1 y)) (- z 1)))> |
#<alt (+ (* -1 t) (+ (* (log y) (- x 1)) (* (log (- 1 y)) (- z 1))))> |
#<alt (+ (* -1 t) (+ (* (log y) (- x 1)) (* (log (- 1 y)) (- z 1))))> |
#<alt (+ (* -1 t) (+ (* (log y) (- x 1)) (* (log (- 1 y)) (- z 1))))> |
#<alt (* -1 t)> |
#<alt (* t (- (+ (/ (* (log y) (- x 1)) t) (/ (* (log (- 1 y)) (- z 1)) t)) 1))> |
#<alt (* t (- (+ (/ (* (log y) (- x 1)) t) (/ (* (log (- 1 y)) (- z 1)) t)) 1))> |
#<alt (* t (- (+ (/ (* (log y) (- x 1)) t) (/ (* (log (- 1 y)) (- z 1)) t)) 1))> |
#<alt (* -1 t)> |
#<alt (* -1 (* t (+ 1 (* -1 (/ (+ (* (log y) (- x 1)) (* (log (- 1 y)) (- z 1))) t)))))> |
#<alt (* -1 (* t (+ 1 (* -1 (/ (+ (* (log y) (- x 1)) (* (log (- 1 y)) (- z 1))) t)))))> |
#<alt (* -1 (* t (+ 1 (* -1 (/ (+ (* (log y) (- x 1)) (* (log (- 1 y)) (- z 1))) t)))))> |
#<alt (pow t 3)> |
#<alt (pow t 3)> |
#<alt (pow t 3)> |
#<alt (pow t 3)> |
#<alt (pow t 3)> |
#<alt (pow t 3)> |
#<alt (pow t 3)> |
#<alt (pow t 3)> |
#<alt (pow t 3)> |
#<alt (pow t 3)> |
#<alt (pow t 3)> |
#<alt (pow t 3)> |
#<alt (* -1 (log (- 1 y)))> |
#<alt (+ (* -1 (log (- 1 y))) (* z (log (- 1 y))))> |
#<alt (+ (* -1 (log (- 1 y))) (* z (log (- 1 y))))> |
#<alt (+ (* -1 (log (- 1 y))) (* z (log (- 1 y))))> |
#<alt (* z (log (- 1 y)))> |
#<alt (* z (+ (log (- 1 y)) (* -1 (/ (log (- 1 y)) z))))> |
#<alt (* z (+ (log (- 1 y)) (* -1 (/ (log (- 1 y)) z))))> |
#<alt (* z (+ (log (- 1 y)) (* -1 (/ (log (- 1 y)) z))))> |
#<alt (* z (log (- 1 y)))> |
#<alt (* -1 (* z (+ (* -1 (log (- 1 y))) (/ (log (- 1 y)) z))))> |
#<alt (* -1 (* z (+ (* -1 (log (- 1 y))) (/ (log (- 1 y)) z))))> |
#<alt (* -1 (* z (+ (* -1 (log (- 1 y))) (/ (log (- 1 y)) z))))> |
#<alt (* -1 (* y (- z 1)))> |
#<alt (* y (+ (* -1 (- z 1)) (* -1/2 (* y (- z 1)))))> |
#<alt (* y (+ (* -1 (- z 1)) (* y (+ (* -1/2 (- z 1)) (* -1/3 (* y (- z 1)))))))> |
#<alt (* y (+ (* -1 (- z 1)) (* y (+ (* -1/2 (- z 1)) (* y (+ (* -1/3 (- z 1)) (* -1/4 (* y (- z 1)))))))))> |
#<alt (* (+ (log -1) (* -1 (log (/ 1 y)))) (- z 1))> |
#<alt (+ (* -1 (/ (- z 1) y)) (* (+ (log -1) (* -1 (log (/ 1 y)))) (- z 1)))> |
#<alt (+ (* -1 (/ (- z 1) y)) (+ (* -1/2 (/ (- z 1) (pow y 2))) (* (+ (log -1) (* -1 (log (/ 1 y)))) (- z 1))))> |
#<alt (+ (* -1 (/ (- z 1) y)) (+ (* -1/2 (/ (- z 1) (pow y 2))) (+ (* -1/3 (/ (- z 1) (pow y 3))) (* (+ (log -1) (* -1 (log (/ 1 y)))) (- z 1)))))> |
#<alt (* -1 (* (log (/ -1 y)) (- z 1)))> |
#<alt (+ (* -1 (* (log (/ -1 y)) (- z 1))) (* -1 (/ (- z 1) y)))> |
#<alt (+ (* -1 (* (log (/ -1 y)) (- z 1))) (* -1 (/ (- (+ z (* 1/2 (/ (- z 1) y))) 1) y)))> |
#<alt (+ (* -1 (* (log (/ -1 y)) (- z 1))) (* -1 (/ (- (+ z (* -1 (/ (+ (* -1/2 (- z 1)) (* -1/3 (/ (- z 1) y))) y))) 1) y)))> |
#<alt -1> |
#<alt (- (* -1 x) 1)> |
#<alt (- (* x (- (* -1 x) 1)) 1)> |
#<alt (- (* x (- (* x (- (* -1 x) 1)) 1)) 1)> |
#<alt (/ 1 x)> |
#<alt (/ (+ 1 (/ 1 x)) x)> |
#<alt (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)> |
#<alt (/ (+ 1 (+ (/ 1 x) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))) x)> |
#<alt (/ 1 x)> |
#<alt (/ (+ 1 (/ 1 x)) x)> |
#<alt (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x))> |
#<alt (* -1 (/ (- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1) x))> |
180 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 14.0ms | x | @ | 0 | (* (log y) x) |
| 2.0ms | y | @ | 0 | (* (log y) x) |
| 1.0ms | z | @ | 0 | (+ (* y (* (+ -1 z) (+ (* y -1/2) -1))) (* (log y) (+ -1 x))) |
| 1.0ms | y | @ | inf | (+ (* y (* (+ -1 z) (+ (* y -1/2) -1))) (* (log y) (+ -1 x))) |
| 0.0ms | z | @ | -inf | (+ (* y (* (+ -1 z) (+ (* y -1/2) -1))) (* (log y) (+ -1 x))) |
| 1× | egg-herbie |
| 8 214× | lower-fma.f64 |
| 8 214× | lower-fma.f32 |
| 4 960× | lower-*.f64 |
| 4 960× | lower-*.f32 |
| 3 928× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 701 | 14623 |
| 1 | 2241 | 13706 |
| 2 | 7485 | 13514 |
| 0 | 8079 | 12541 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (+ (* -1 (log y)) (* (log (- 1 y)) (- z 1))) t) |
(- (+ (* -1 (log y)) (+ (* x (log y)) (* (log (- 1 y)) (- z 1)))) t) |
(- (+ (* -1 (log y)) (+ (* x (log y)) (* (log (- 1 y)) (- z 1)))) t) |
(- (+ (* -1 (log y)) (+ (* x (log y)) (* (log (- 1 y)) (- z 1)))) t) |
(* x (log y)) |
(* x (- (+ (log y) (+ (* -1 (/ (log y) x)) (/ (* (log (- 1 y)) (- z 1)) x))) (/ t x))) |
(* x (- (+ (log y) (+ (* -1 (/ (log y) x)) (/ (* (log (- 1 y)) (- z 1)) x))) (/ t x))) |
(* x (- (+ (log y) (+ (* -1 (/ (log y) x)) (/ (* (log (- 1 y)) (- z 1)) x))) (/ t x))) |
(* x (log y)) |
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (- (+ (* -1 (log y)) (* (log (- 1 y)) (- z 1))) t) x))))) |
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (- (+ (* -1 (log y)) (* (log (- 1 y)) (- z 1))) t) x))))) |
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (- (+ (* -1 (log y)) (* (log (- 1 y)) (- z 1))) t) x))))) |
(- (* (log y) (- x 1)) t) |
(- (+ (* -1 (* y (- z 1))) (* (log y) (- x 1))) t) |
(- (+ (* y (+ (* -1 (- z 1)) (* -1/2 (* y (- z 1))))) (* (log y) (- x 1))) t) |
(- (+ (* y (+ (* -1 (- z 1)) (* y (+ (* -1/2 (- z 1)) (* -1/3 (* y (- z 1))))))) (* (log y) (- x 1))) t) |
(- (+ (* -1 (* (log (/ 1 y)) (- x 1))) (* (+ (log -1) (* -1 (log (/ 1 y)))) (- z 1))) t) |
(- (+ (* -1 (* (log (/ 1 y)) (- x 1))) (+ (* -1 (/ (- z 1) y)) (* (+ (log -1) (* -1 (log (/ 1 y)))) (- z 1)))) t) |
(- (+ (* -1 (* (log (/ 1 y)) (- x 1))) (+ (* -1 (/ (- z 1) y)) (+ (* -1/2 (/ (- z 1) (pow y 2))) (* (+ (log -1) (* -1 (log (/ 1 y)))) (- z 1))))) t) |
(- (+ (* -1 (* (log (/ 1 y)) (- x 1))) (+ (* -1 (/ (- z 1) y)) (+ (* -1/2 (/ (- z 1) (pow y 2))) (+ (* -1/3 (/ (- z 1) (pow y 3))) (* (+ (log -1) (* -1 (log (/ 1 y)))) (- z 1)))))) t) |
(- (+ (* -1 (* (log (/ -1 y)) (- z 1))) (* (+ (log -1) (* -1 (log (/ -1 y)))) (- x 1))) t) |
(- (+ (* -1 (* (log (/ -1 y)) (- z 1))) (+ (* -1 (/ (- z 1) y)) (* (+ (log -1) (* -1 (log (/ -1 y)))) (- x 1)))) t) |
(- (+ (* -1 (* (log (/ -1 y)) (- z 1))) (+ (* -1 (/ (- (+ z (* 1/2 (/ (- z 1) y))) 1) y)) (* (+ (log -1) (* -1 (log (/ -1 y)))) (- x 1)))) t) |
(- (+ (* -1 (* (log (/ -1 y)) (- z 1))) (+ (* -1 (/ (- (+ z (* -1 (/ (+ (* -1/2 (- z 1)) (* -1/3 (/ (- z 1) y))) y))) 1) y)) (* (+ (log -1) (* -1 (log (/ -1 y)))) (- x 1)))) t) |
(- (+ (* -1 (log (- 1 y))) (* (log y) (- x 1))) t) |
(- (+ (* -1 (log (- 1 y))) (+ (* z (log (- 1 y))) (* (log y) (- x 1)))) t) |
(- (+ (* -1 (log (- 1 y))) (+ (* z (log (- 1 y))) (* (log y) (- x 1)))) t) |
(- (+ (* -1 (log (- 1 y))) (+ (* z (log (- 1 y))) (* (log y) (- x 1)))) t) |
(* z (log (- 1 y))) |
(* z (- (+ (log (- 1 y)) (+ (* -1 (/ (log (- 1 y)) z)) (/ (* (log y) (- x 1)) z))) (/ t z))) |
(* z (- (+ (log (- 1 y)) (+ (* -1 (/ (log (- 1 y)) z)) (/ (* (log y) (- x 1)) z))) (/ t z))) |
(* z (- (+ (log (- 1 y)) (+ (* -1 (/ (log (- 1 y)) z)) (/ (* (log y) (- x 1)) z))) (/ t z))) |
(* z (log (- 1 y))) |
(* -1 (* z (+ (* -1 (log (- 1 y))) (* -1 (/ (- (+ (* -1 (log (- 1 y))) (* (log y) (- x 1))) t) z))))) |
(* -1 (* z (+ (* -1 (log (- 1 y))) (* -1 (/ (- (+ (* -1 (log (- 1 y))) (* (log y) (- x 1))) t) z))))) |
(* -1 (* z (+ (* -1 (log (- 1 y))) (* -1 (/ (- (+ (* -1 (log (- 1 y))) (* (log y) (- x 1))) t) z))))) |
(+ (* (log y) (- x 1)) (* (log (- 1 y)) (- z 1))) |
(+ (* -1 t) (+ (* (log y) (- x 1)) (* (log (- 1 y)) (- z 1)))) |
(+ (* -1 t) (+ (* (log y) (- x 1)) (* (log (- 1 y)) (- z 1)))) |
(+ (* -1 t) (+ (* (log y) (- x 1)) (* (log (- 1 y)) (- z 1)))) |
(* -1 t) |
(* t (- (+ (/ (* (log y) (- x 1)) t) (/ (* (log (- 1 y)) (- z 1)) t)) 1)) |
(* t (- (+ (/ (* (log y) (- x 1)) t) (/ (* (log (- 1 y)) (- z 1)) t)) 1)) |
(* t (- (+ (/ (* (log y) (- x 1)) t) (/ (* (log (- 1 y)) (- z 1)) t)) 1)) |
(* -1 t) |
(* -1 (* t (+ 1 (* -1 (/ (+ (* (log y) (- x 1)) (* (log (- 1 y)) (- z 1))) t))))) |
(* -1 (* t (+ 1 (* -1 (/ (+ (* (log y) (- x 1)) (* (log (- 1 y)) (- z 1))) t))))) |
(* -1 (* t (+ 1 (* -1 (/ (+ (* (log y) (- x 1)) (* (log (- 1 y)) (- z 1))) t))))) |
(+ (* -1 (log y)) (* (log (- 1 y)) (- z 1))) |
(+ (* -1 (log y)) (+ (* x (log y)) (* (log (- 1 y)) (- z 1)))) |
(+ (* -1 (log y)) (+ (* x (log y)) (* (log (- 1 y)) (- z 1)))) |
(+ (* -1 (log y)) (+ (* x (log y)) (* (log (- 1 y)) (- z 1)))) |
(* x (log y)) |
(* x (+ (log y) (+ (* -1 (/ (log y) x)) (/ (* (log (- 1 y)) (- z 1)) x)))) |
(* x (+ (log y) (+ (* -1 (/ (log y) x)) (/ (* (log (- 1 y)) (- z 1)) x)))) |
(* x (+ (log y) (+ (* -1 (/ (log y) x)) (/ (* (log (- 1 y)) (- z 1)) x)))) |
(* x (log y)) |
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (+ (* -1 (log y)) (* (log (- 1 y)) (- z 1))) x))))) |
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (+ (* -1 (log y)) (* (log (- 1 y)) (- z 1))) x))))) |
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (+ (* -1 (log y)) (* (log (- 1 y)) (- z 1))) x))))) |
(* (log y) (- x 1)) |
(+ (* -1 (* y (- z 1))) (* (log y) (- x 1))) |
(+ (* y (+ (* -1 (- z 1)) (* -1/2 (* y (- z 1))))) (* (log y) (- x 1))) |
(+ (* y (+ (* -1 (- z 1)) (* y (+ (* -1/2 (- z 1)) (* -1/3 (* y (- z 1))))))) (* (log y) (- x 1))) |
(+ (* -1 (* (log (/ 1 y)) (- x 1))) (* (+ (log -1) (* -1 (log (/ 1 y)))) (- z 1))) |
(+ (* -1 (* (log (/ 1 y)) (- x 1))) (+ (* -1 (/ (- z 1) y)) (* (+ (log -1) (* -1 (log (/ 1 y)))) (- z 1)))) |
(+ (* -1 (* (log (/ 1 y)) (- x 1))) (+ (* -1 (/ (- z 1) y)) (+ (* -1/2 (/ (- z 1) (pow y 2))) (* (+ (log -1) (* -1 (log (/ 1 y)))) (- z 1))))) |
(+ (* -1 (* (log (/ 1 y)) (- x 1))) (+ (* -1 (/ (- z 1) y)) (+ (* -1/2 (/ (- z 1) (pow y 2))) (+ (* -1/3 (/ (- z 1) (pow y 3))) (* (+ (log -1) (* -1 (log (/ 1 y)))) (- z 1)))))) |
(+ (* -1 (* (log (/ -1 y)) (- z 1))) (* (+ (log -1) (* -1 (log (/ -1 y)))) (- x 1))) |
(+ (* -1 (* (log (/ -1 y)) (- z 1))) (+ (* -1 (/ (- z 1) y)) (* (+ (log -1) (* -1 (log (/ -1 y)))) (- x 1)))) |
(+ (* -1 (* (log (/ -1 y)) (- z 1))) (+ (* -1 (/ (- (+ z (* 1/2 (/ (- z 1) y))) 1) y)) (* (+ (log -1) (* -1 (log (/ -1 y)))) (- x 1)))) |
(+ (* -1 (* (log (/ -1 y)) (- z 1))) (+ (* -1 (/ (- (+ z (* -1 (/ (+ (* -1/2 (- z 1)) (* -1/3 (/ (- z 1) y))) y))) 1) y)) (* (+ (log -1) (* -1 (log (/ -1 y)))) (- x 1)))) |
(+ (* -1 (log (- 1 y))) (* (log y) (- x 1))) |
(+ (* -1 (log (- 1 y))) (+ (* z (log (- 1 y))) (* (log y) (- x 1)))) |
(+ (* -1 (log (- 1 y))) (+ (* z (log (- 1 y))) (* (log y) (- x 1)))) |
(+ (* -1 (log (- 1 y))) (+ (* z (log (- 1 y))) (* (log y) (- x 1)))) |
(* z (log (- 1 y))) |
(* z (+ (log (- 1 y)) (+ (* -1 (/ (log (- 1 y)) z)) (/ (* (log y) (- x 1)) z)))) |
(* z (+ (log (- 1 y)) (+ (* -1 (/ (log (- 1 y)) z)) (/ (* (log y) (- x 1)) z)))) |
(* z (+ (log (- 1 y)) (+ (* -1 (/ (log (- 1 y)) z)) (/ (* (log y) (- x 1)) z)))) |
(* z (log (- 1 y))) |
(* -1 (* z (+ (* -1 (log (- 1 y))) (* -1 (/ (+ (* -1 (log (- 1 y))) (* (log y) (- x 1))) z))))) |
(* -1 (* z (+ (* -1 (log (- 1 y))) (* -1 (/ (+ (* -1 (log (- 1 y))) (* (log y) (- x 1))) z))))) |
(* -1 (* z (+ (* -1 (log (- 1 y))) (* -1 (/ (+ (* -1 (log (- 1 y))) (* (log y) (- x 1))) z))))) |
(* (log y) (- x 1)) |
(+ (* -1 (* y (- z 1))) (* (log y) (- x 1))) |
(+ (* y (+ (* -1 (- z 1)) (* -1/2 (* y (- z 1))))) (* (log y) (- x 1))) |
(+ (* y (+ (* -1 (- z 1)) (* -1/2 (* y (- z 1))))) (* (log y) (- x 1))) |
(* -1/2 (* (pow y 2) (- z 1))) |
(* (pow y 2) (+ (* -1 (/ (- z 1) y)) (* -1/2 (- z 1)))) |
(* (pow y 2) (+ (* -1 (/ (* (log (/ 1 y)) (- x 1)) (pow y 2))) (+ (* -1 (/ (- z 1) y)) (* -1/2 (- z 1))))) |
(* (pow y 2) (+ (* -1 (/ (* (log (/ 1 y)) (- x 1)) (pow y 2))) (+ (* -1 (/ (- z 1) y)) (* -1/2 (- z 1))))) |
(* -1/2 (* (pow y 2) (- z 1))) |
(* (pow y 2) (+ (* -1 (/ (- z 1) y)) (* -1/2 (- z 1)))) |
(* (pow y 2) (+ (* -1 (/ (- (+ z (* -1 (/ (* (+ (log -1) (* -1 (log (/ -1 y)))) (- x 1)) y))) 1) y)) (* -1/2 (- z 1)))) |
(* (pow y 2) (+ (* -1 (/ (- (+ z (* -1 (/ (* (+ (log -1) (* -1 (log (/ -1 y)))) (- x 1)) y))) 1) y)) (* -1/2 (- z 1)))) |
(+ (* -1 (* y (- (* -1/2 y) 1))) (* (log y) (- x 1))) |
(+ (* -1 (* y (- (* -1/2 y) 1))) (+ (* y (* z (- (* -1/2 y) 1))) (* (log y) (- x 1)))) |
(+ (* -1 (* y (- (* -1/2 y) 1))) (+ (* y (* z (- (* -1/2 y) 1))) (* (log y) (- x 1)))) |
(+ (* -1 (* y (- (* -1/2 y) 1))) (+ (* y (* z (- (* -1/2 y) 1))) (* (log y) (- x 1)))) |
(* y (* z (- (* -1/2 y) 1))) |
(* z (+ (* -1 (/ (* y (- (* -1/2 y) 1)) z)) (+ (* y (- (* -1/2 y) 1)) (/ (* (log y) (- x 1)) z)))) |
(* z (+ (* -1 (/ (* y (- (* -1/2 y) 1)) z)) (+ (* y (- (* -1/2 y) 1)) (/ (* (log y) (- x 1)) z)))) |
(* z (+ (* -1 (/ (* y (- (* -1/2 y) 1)) z)) (+ (* y (- (* -1/2 y) 1)) (/ (* (log y) (- x 1)) z)))) |
(* y (* z (- (* -1/2 y) 1))) |
(* -1 (* z (+ (* -1 (* y (- (* -1/2 y) 1))) (* -1 (/ (+ (* -1 (* y (- (* -1/2 y) 1))) (* (log y) (- x 1))) z))))) |
(* -1 (* z (+ (* -1 (* y (- (* -1/2 y) 1))) (* -1 (/ (+ (* -1 (* y (- (* -1/2 y) 1))) (* (log y) (- x 1))) z))))) |
(* -1 (* z (+ (* -1 (* y (- (* -1/2 y) 1))) (* -1 (/ (+ (* -1 (* y (- (* -1/2 y) 1))) (* (log y) (- x 1))) z))))) |
(+ (* -1 (log y)) (* y (* (- z 1) (- (* -1/2 y) 1)))) |
(+ (* -1 (log y)) (+ (* x (log y)) (* y (* (- z 1) (- (* -1/2 y) 1))))) |
(+ (* -1 (log y)) (+ (* x (log y)) (* y (* (- z 1) (- (* -1/2 y) 1))))) |
(+ (* -1 (log y)) (+ (* x (log y)) (* y (* (- z 1) (- (* -1/2 y) 1))))) |
(* x (log y)) |
(* x (+ (log y) (+ (* -1 (/ (log y) x)) (/ (* y (* (- z 1) (- (* -1/2 y) 1))) x)))) |
(* x (+ (log y) (+ (* -1 (/ (log y) x)) (/ (* y (* (- z 1) (- (* -1/2 y) 1))) x)))) |
(* x (+ (log y) (+ (* -1 (/ (log y) x)) (/ (* y (* (- z 1) (- (* -1/2 y) 1))) x)))) |
(* x (log y)) |
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (+ (* -1 (log y)) (* y (* (- z 1) (- (* -1/2 y) 1)))) x))))) |
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (+ (* -1 (log y)) (* y (* (- z 1) (- (* -1/2 y) 1)))) x))))) |
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (+ (* -1 (log y)) (* y (* (- z 1) (- (* -1/2 y) 1)))) x))))) |
(* -1 (- (* -1/2 y) 1)) |
(+ (* -1 (- (* -1/2 y) 1)) (* z (- (* -1/2 y) 1))) |
(+ (* -1 (- (* -1/2 y) 1)) (* z (- (* -1/2 y) 1))) |
(+ (* -1 (- (* -1/2 y) 1)) (* z (- (* -1/2 y) 1))) |
(* z (- (* -1/2 y) 1)) |
(* z (- (+ (* -1 (/ (- (* -1/2 y) 1) z)) (* -1/2 y)) 1)) |
(* z (- (+ (* -1 (/ (- (* -1/2 y) 1) z)) (* -1/2 y)) 1)) |
(* z (- (+ (* -1 (/ (- (* -1/2 y) 1) z)) (* -1/2 y)) 1)) |
(* z (- (* -1/2 y) 1)) |
(* -1 (* z (- (+ (* -1 (- (* -1/2 y) 1)) (* -1/2 (/ y z))) (/ 1 z)))) |
(* -1 (* z (- (+ (* -1 (- (* -1/2 y) 1)) (* -1/2 (/ y z))) (/ 1 z)))) |
(* -1 (* z (- (+ (* -1 (- (* -1/2 y) 1)) (* -1/2 (/ y z))) (/ 1 z)))) |
(* -1 (- z 1)) |
(+ (* -1 (- z 1)) (* -1/2 (* y (- z 1)))) |
(+ (* -1 (- z 1)) (* -1/2 (* y (- z 1)))) |
(+ (* -1 (- z 1)) (* -1/2 (* y (- z 1)))) |
(* -1/2 (* y (- z 1))) |
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(+ (* -1 (log (/ -1 y))) (* -1 (/ (+ 1 (* 1/2 (/ 1 y))) y))) |
(+ (* -1 (log (/ -1 y))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow y 2)) (* 1/2 (/ 1 y)))) y))) |
(- (* (log y) (- x 1)) t) |
(- (+ (* -1 (* y (- z 1))) (* (log y) (- x 1))) t) |
(- (+ (* y (+ (* -1 (- z 1)) (* -1/2 (* y (- z 1))))) (* (log y) (- x 1))) t) |
(- (+ (* y (+ (* -1 (- z 1)) (* y (+ (* -1/2 (- z 1)) (* -1/3 (* y (- z 1))))))) (* (log y) (- x 1))) t) |
(- (+ (* -1 (* (log (/ 1 y)) (- x 1))) (* (+ (log -1) (* -1 (log (/ 1 y)))) (- z 1))) t) |
(- (+ (* -1 (* (log (/ 1 y)) (- x 1))) (+ (* -1 (/ (- z 1) y)) (* (+ (log -1) (* -1 (log (/ 1 y)))) (- z 1)))) t) |
(- (+ (* -1 (* (log (/ 1 y)) (- x 1))) (+ (* -1 (/ (- z 1) y)) (+ (* -1/2 (/ (- z 1) (pow y 2))) (* (+ (log -1) (* -1 (log (/ 1 y)))) (- z 1))))) t) |
(- (+ (* -1 (* (log (/ 1 y)) (- x 1))) (+ (* -1 (/ (- z 1) y)) (+ (* -1/2 (/ (- z 1) (pow y 2))) (+ (* -1/3 (/ (- z 1) (pow y 3))) (* (+ (log -1) (* -1 (log (/ 1 y)))) (- z 1)))))) t) |
(- (+ (* -1 (* (log (/ -1 y)) (- z 1))) (* (+ (log -1) (* -1 (log (/ -1 y)))) (- x 1))) t) |
(- (+ (* -1 (* (log (/ -1 y)) (- z 1))) (+ (* -1 (/ (- z 1) y)) (* (+ (log -1) (* -1 (log (/ -1 y)))) (- x 1)))) t) |
(- (+ (* -1 (* (log (/ -1 y)) (- z 1))) (+ (* -1 (/ (- (+ z (* 1/2 (/ (- z 1) y))) 1) y)) (* (+ (log -1) (* -1 (log (/ -1 y)))) (- x 1)))) t) |
(- (+ (* -1 (* (log (/ -1 y)) (- z 1))) (+ (* -1 (/ (- (+ z (* -1 (/ (+ (* -1/2 (- z 1)) (* -1/3 (/ (- z 1) y))) y))) 1) y)) (* (+ (log -1) (* -1 (log (/ -1 y)))) (- x 1)))) t) |
(- (+ (* -1 (log y)) (* (log (- 1 y)) (- z 1))) t) |
(- (+ (* -1 (log y)) (+ (* x (log y)) (* (log (- 1 y)) (- z 1)))) t) |
(- (+ (* -1 (log y)) (+ (* x (log y)) (* (log (- 1 y)) (- z 1)))) t) |
(- (+ (* -1 (log y)) (+ (* x (log y)) (* (log (- 1 y)) (- z 1)))) t) |
(* x (log y)) |
(* x (- (+ (log y) (+ (* -1 (/ (log y) x)) (/ (* (log (- 1 y)) (- z 1)) x))) (/ t x))) |
(* x (- (+ (log y) (+ (* -1 (/ (log y) x)) (/ (* (log (- 1 y)) (- z 1)) x))) (/ t x))) |
(* x (- (+ (log y) (+ (* -1 (/ (log y) x)) (/ (* (log (- 1 y)) (- z 1)) x))) (/ t x))) |
(* x (log y)) |
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (- (+ (* -1 (log y)) (* (log (- 1 y)) (- z 1))) t) x))))) |
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (- (+ (* -1 (log y)) (* (log (- 1 y)) (- z 1))) t) x))))) |
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (- (+ (* -1 (log y)) (* (log (- 1 y)) (- z 1))) t) x))))) |
(- (+ (* -1 (log (- 1 y))) (* (log y) (- x 1))) t) |
(- (+ (* -1 (log (- 1 y))) (+ (* z (log (- 1 y))) (* (log y) (- x 1)))) t) |
(- (+ (* -1 (log (- 1 y))) (+ (* z (log (- 1 y))) (* (log y) (- x 1)))) t) |
(- (+ (* -1 (log (- 1 y))) (+ (* z (log (- 1 y))) (* (log y) (- x 1)))) t) |
(* z (log (- 1 y))) |
(* z (- (+ (log (- 1 y)) (+ (* -1 (/ (log (- 1 y)) z)) (/ (* (log y) (- x 1)) z))) (/ t z))) |
(* z (- (+ (log (- 1 y)) (+ (* -1 (/ (log (- 1 y)) z)) (/ (* (log y) (- x 1)) z))) (/ t z))) |
(* z (- (+ (log (- 1 y)) (+ (* -1 (/ (log (- 1 y)) z)) (/ (* (log y) (- x 1)) z))) (/ t z))) |
(* z (log (- 1 y))) |
(* -1 (* z (+ (* -1 (log (- 1 y))) (* -1 (/ (- (+ (* -1 (log (- 1 y))) (* (log y) (- x 1))) t) z))))) |
(* -1 (* z (+ (* -1 (log (- 1 y))) (* -1 (/ (- (+ (* -1 (log (- 1 y))) (* (log y) (- x 1))) t) z))))) |
(* -1 (* z (+ (* -1 (log (- 1 y))) (* -1 (/ (- (+ (* -1 (log (- 1 y))) (* (log y) (- x 1))) t) z))))) |
(+ (* (log y) (- x 1)) (* (log (- 1 y)) (- z 1))) |
(+ (* -1 t) (+ (* (log y) (- x 1)) (* (log (- 1 y)) (- z 1)))) |
(+ (* -1 t) (+ (* (log y) (- x 1)) (* (log (- 1 y)) (- z 1)))) |
(+ (* -1 t) (+ (* (log y) (- x 1)) (* (log (- 1 y)) (- z 1)))) |
(* -1 t) |
(* t (- (+ (/ (* (log y) (- x 1)) t) (/ (* (log (- 1 y)) (- z 1)) t)) 1)) |
(* t (- (+ (/ (* (log y) (- x 1)) t) (/ (* (log (- 1 y)) (- z 1)) t)) 1)) |
(* t (- (+ (/ (* (log y) (- x 1)) t) (/ (* (log (- 1 y)) (- z 1)) t)) 1)) |
(* -1 t) |
(* -1 (* t (+ 1 (* -1 (/ (+ (* (log y) (- x 1)) (* (log (- 1 y)) (- z 1))) t))))) |
(* -1 (* t (+ 1 (* -1 (/ (+ (* (log y) (- x 1)) (* (log (- 1 y)) (- z 1))) t))))) |
(* -1 (* t (+ 1 (* -1 (/ (+ (* (log y) (- x 1)) (* (log (- 1 y)) (- z 1))) t))))) |
(* (log y) (- x 1)) |
(* (log y) (- x 1)) |
(* (log y) (- x 1)) |
(* (log y) (- x 1)) |
(* -1 (* (log (/ 1 y)) (- x 1))) |
(* -1 (* (log (/ 1 y)) (- x 1))) |
(* -1 (* (log (/ 1 y)) (- x 1))) |
(* -1 (* (log (/ 1 y)) (- x 1))) |
(* (+ (log -1) (* -1 (log (/ -1 y)))) (- x 1)) |
(* (+ (log -1) (* -1 (log (/ -1 y)))) (- x 1)) |
(* (+ (log -1) (* -1 (log (/ -1 y)))) (- x 1)) |
(* (+ (log -1) (* -1 (log (/ -1 y)))) (- x 1)) |
(* -1 (log y)) |
(+ (* -1 (log y)) (* x (log y))) |
(+ (* -1 (log y)) (* x (log y))) |
(+ (* -1 (log y)) (* x (log y))) |
(* x (log y)) |
(* x (+ (log y) (* -1 (/ (log y) x)))) |
(* x (+ (log y) (* -1 (/ (log y) x)))) |
(* x (+ (log y) (* -1 (/ (log y) x)))) |
(* x (log y)) |
(* -1 (* x (+ (* -1 (log y)) (/ (log y) x)))) |
(* -1 (* x (+ (* -1 (log y)) (/ (log y) x)))) |
(* -1 (* x (+ (* -1 (log y)) (/ (log y) x)))) |
(- (+ (* -1 (log y)) (* (log (- 1 y)) (- z 1))) t) |
(- (+ (* -1 (log y)) (+ (* x (log y)) (* (log (- 1 y)) (- z 1)))) t) |
(- (+ (* -1 (log y)) (+ (* x (log y)) (* (log (- 1 y)) (- z 1)))) t) |
(- (+ (* -1 (log y)) (+ (* x (log y)) (* (log (- 1 y)) (- z 1)))) t) |
(* x (log y)) |
(* x (- (+ (log y) (+ (* -1 (/ (log y) x)) (/ (* (log (- 1 y)) (- z 1)) x))) (/ t x))) |
(* x (- (+ (log y) (+ (* -1 (/ (log y) x)) (/ (* (log (- 1 y)) (- z 1)) x))) (/ t x))) |
(* x (- (+ (log y) (+ (* -1 (/ (log y) x)) (/ (* (log (- 1 y)) (- z 1)) x))) (/ t x))) |
(* x (log y)) |
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (- (+ (* -1 (log y)) (* (log (- 1 y)) (- z 1))) t) x))))) |
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (- (+ (* -1 (log y)) (* (log (- 1 y)) (- z 1))) t) x))))) |
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (- (+ (* -1 (log y)) (* (log (- 1 y)) (- z 1))) t) x))))) |
(- (* (log y) (- x 1)) t) |
(- (+ (* -1 (* y (- z 1))) (* (log y) (- x 1))) t) |
(- (+ (* y (+ (* -1 (- z 1)) (* -1/2 (* y (- z 1))))) (* (log y) (- x 1))) t) |
(- (+ (* y (+ (* -1 (- z 1)) (* y (+ (* -1/2 (- z 1)) (* -1/3 (* y (- z 1))))))) (* (log y) (- x 1))) t) |
(- (+ (* -1 (* (log (/ 1 y)) (- x 1))) (* (+ (log -1) (* -1 (log (/ 1 y)))) (- z 1))) t) |
(- (+ (* -1 (* (log (/ 1 y)) (- x 1))) (+ (* -1 (/ (- z 1) y)) (* (+ (log -1) (* -1 (log (/ 1 y)))) (- z 1)))) t) |
(- (+ (* -1 (* (log (/ 1 y)) (- x 1))) (+ (* -1 (/ (- z 1) y)) (+ (* -1/2 (/ (- z 1) (pow y 2))) (* (+ (log -1) (* -1 (log (/ 1 y)))) (- z 1))))) t) |
(- (+ (* -1 (* (log (/ 1 y)) (- x 1))) (+ (* -1 (/ (- z 1) y)) (+ (* -1/2 (/ (- z 1) (pow y 2))) (+ (* -1/3 (/ (- z 1) (pow y 3))) (* (+ (log -1) (* -1 (log (/ 1 y)))) (- z 1)))))) t) |
(- (+ (* -1 (* (log (/ -1 y)) (- z 1))) (* (+ (log -1) (* -1 (log (/ -1 y)))) (- x 1))) t) |
(- (+ (* -1 (* (log (/ -1 y)) (- z 1))) (+ (* -1 (/ (- z 1) y)) (* (+ (log -1) (* -1 (log (/ -1 y)))) (- x 1)))) t) |
(- (+ (* -1 (* (log (/ -1 y)) (- z 1))) (+ (* -1 (/ (- (+ z (* 1/2 (/ (- z 1) y))) 1) y)) (* (+ (log -1) (* -1 (log (/ -1 y)))) (- x 1)))) t) |
(- (+ (* -1 (* (log (/ -1 y)) (- z 1))) (+ (* -1 (/ (- (+ z (* -1 (/ (+ (* -1/2 (- z 1)) (* -1/3 (/ (- z 1) y))) y))) 1) y)) (* (+ (log -1) (* -1 (log (/ -1 y)))) (- x 1)))) t) |
(- (+ (* -1 (log (- 1 y))) (* (log y) (- x 1))) t) |
(- (+ (* -1 (log (- 1 y))) (+ (* z (log (- 1 y))) (* (log y) (- x 1)))) t) |
(- (+ (* -1 (log (- 1 y))) (+ (* z (log (- 1 y))) (* (log y) (- x 1)))) t) |
(- (+ (* -1 (log (- 1 y))) (+ (* z (log (- 1 y))) (* (log y) (- x 1)))) t) |
(* z (log (- 1 y))) |
(* z (- (+ (log (- 1 y)) (+ (* -1 (/ (log (- 1 y)) z)) (/ (* (log y) (- x 1)) z))) (/ t z))) |
(* z (- (+ (log (- 1 y)) (+ (* -1 (/ (log (- 1 y)) z)) (/ (* (log y) (- x 1)) z))) (/ t z))) |
(* z (- (+ (log (- 1 y)) (+ (* -1 (/ (log (- 1 y)) z)) (/ (* (log y) (- x 1)) z))) (/ t z))) |
(* z (log (- 1 y))) |
(* -1 (* z (+ (* -1 (log (- 1 y))) (* -1 (/ (- (+ (* -1 (log (- 1 y))) (* (log y) (- x 1))) t) z))))) |
(* -1 (* z (+ (* -1 (log (- 1 y))) (* -1 (/ (- (+ (* -1 (log (- 1 y))) (* (log y) (- x 1))) t) z))))) |
(* -1 (* z (+ (* -1 (log (- 1 y))) (* -1 (/ (- (+ (* -1 (log (- 1 y))) (* (log y) (- x 1))) t) z))))) |
(+ (* (log y) (- x 1)) (* (log (- 1 y)) (- z 1))) |
(+ (* -1 t) (+ (* (log y) (- x 1)) (* (log (- 1 y)) (- z 1)))) |
(+ (* -1 t) (+ (* (log y) (- x 1)) (* (log (- 1 y)) (- z 1)))) |
(+ (* -1 t) (+ (* (log y) (- x 1)) (* (log (- 1 y)) (- z 1)))) |
(* -1 t) |
(* t (- (+ (/ (* (log y) (- x 1)) t) (/ (* (log (- 1 y)) (- z 1)) t)) 1)) |
(* t (- (+ (/ (* (log y) (- x 1)) t) (/ (* (log (- 1 y)) (- z 1)) t)) 1)) |
(* t (- (+ (/ (* (log y) (- x 1)) t) (/ (* (log (- 1 y)) (- z 1)) t)) 1)) |
(* -1 t) |
(* -1 (* t (+ 1 (* -1 (/ (+ (* (log y) (- x 1)) (* (log (- 1 y)) (- z 1))) t))))) |
(* -1 (* t (+ 1 (* -1 (/ (+ (* (log y) (- x 1)) (* (log (- 1 y)) (- z 1))) t))))) |
(* -1 (* t (+ 1 (* -1 (/ (+ (* (log y) (- x 1)) (* (log (- 1 y)) (- z 1))) t))))) |
(pow t 3) |
(pow t 3) |
(pow t 3) |
(pow t 3) |
(pow t 3) |
(pow t 3) |
(pow t 3) |
(pow t 3) |
(pow t 3) |
(pow t 3) |
(pow t 3) |
(pow t 3) |
(* -1 (log (- 1 y))) |
(+ (* -1 (log (- 1 y))) (* z (log (- 1 y)))) |
(+ (* -1 (log (- 1 y))) (* z (log (- 1 y)))) |
(+ (* -1 (log (- 1 y))) (* z (log (- 1 y)))) |
(* z (log (- 1 y))) |
(* z (+ (log (- 1 y)) (* -1 (/ (log (- 1 y)) z)))) |
(* z (+ (log (- 1 y)) (* -1 (/ (log (- 1 y)) z)))) |
(* z (+ (log (- 1 y)) (* -1 (/ (log (- 1 y)) z)))) |
(* z (log (- 1 y))) |
(* -1 (* z (+ (* -1 (log (- 1 y))) (/ (log (- 1 y)) z)))) |
(* -1 (* z (+ (* -1 (log (- 1 y))) (/ (log (- 1 y)) z)))) |
(* -1 (* z (+ (* -1 (log (- 1 y))) (/ (log (- 1 y)) z)))) |
(* -1 (* y (- z 1))) |
(* y (+ (* -1 (- z 1)) (* -1/2 (* y (- z 1))))) |
(* y (+ (* -1 (- z 1)) (* y (+ (* -1/2 (- z 1)) (* -1/3 (* y (- z 1))))))) |
(* y (+ (* -1 (- z 1)) (* y (+ (* -1/2 (- z 1)) (* y (+ (* -1/3 (- z 1)) (* -1/4 (* y (- z 1))))))))) |
(* (+ (log -1) (* -1 (log (/ 1 y)))) (- z 1)) |
(+ (* -1 (/ (- z 1) y)) (* (+ (log -1) (* -1 (log (/ 1 y)))) (- z 1))) |
(+ (* -1 (/ (- z 1) y)) (+ (* -1/2 (/ (- z 1) (pow y 2))) (* (+ (log -1) (* -1 (log (/ 1 y)))) (- z 1)))) |
(+ (* -1 (/ (- z 1) y)) (+ (* -1/2 (/ (- z 1) (pow y 2))) (+ (* -1/3 (/ (- z 1) (pow y 3))) (* (+ (log -1) (* -1 (log (/ 1 y)))) (- z 1))))) |
(* -1 (* (log (/ -1 y)) (- z 1))) |
(+ (* -1 (* (log (/ -1 y)) (- z 1))) (* -1 (/ (- z 1) y))) |
(+ (* -1 (* (log (/ -1 y)) (- z 1))) (* -1 (/ (- (+ z (* 1/2 (/ (- z 1) y))) 1) y))) |
(+ (* -1 (* (log (/ -1 y)) (- z 1))) (* -1 (/ (- (+ z (* -1 (/ (+ (* -1/2 (- z 1)) (* -1/3 (/ (- z 1) y))) y))) 1) y))) |
-1 |
(- (* -1 x) 1) |
(- (* x (- (* -1 x) 1)) 1) |
(- (* x (- (* x (- (* -1 x) 1)) 1)) 1) |
(/ 1 x) |
(/ (+ 1 (/ 1 x)) x) |
(/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x) |
(/ (+ 1 (+ (/ 1 x) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))) x) |
(/ 1 x) |
(/ (+ 1 (/ 1 x)) x) |
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1) x)) |
| Outputs |
|---|
(- (+ (* -1 (log y)) (* (log (- 1 y)) (- z 1))) t) |
(-.f64 (fma.f64 (log1p.f64 (neg.f64 y)) (+.f64 #s(literal -1 binary64) z) (neg.f64 (log.f64 y))) t) |
(- (+ (* -1 (log y)) (+ (* x (log y)) (* (log (- 1 y)) (- z 1)))) t) |
(fma.f64 (log.f64 y) (+.f64 #s(literal -1 binary64) x) (fma.f64 (log1p.f64 (neg.f64 y)) (+.f64 #s(literal -1 binary64) z) (neg.f64 t))) |
(- (+ (* -1 (log y)) (+ (* x (log y)) (* (log (- 1 y)) (- z 1)))) t) |
(fma.f64 (log.f64 y) (+.f64 #s(literal -1 binary64) x) (fma.f64 (log1p.f64 (neg.f64 y)) (+.f64 #s(literal -1 binary64) z) (neg.f64 t))) |
(- (+ (* -1 (log y)) (+ (* x (log y)) (* (log (- 1 y)) (- z 1)))) t) |
(fma.f64 (log.f64 y) (+.f64 #s(literal -1 binary64) x) (fma.f64 (log1p.f64 (neg.f64 y)) (+.f64 #s(literal -1 binary64) z) (neg.f64 t))) |
(* x (log y)) |
(*.f64 (log.f64 y) x) |
(* x (- (+ (log y) (+ (* -1 (/ (log y) x)) (/ (* (log (- 1 y)) (- z 1)) x))) (/ t x))) |
(*.f64 x (+.f64 (log.f64 y) (/.f64 (-.f64 (fma.f64 (log1p.f64 (neg.f64 y)) (+.f64 #s(literal -1 binary64) z) (neg.f64 (log.f64 y))) t) x))) |
(* x (- (+ (log y) (+ (* -1 (/ (log y) x)) (/ (* (log (- 1 y)) (- z 1)) x))) (/ t x))) |
(*.f64 x (+.f64 (log.f64 y) (/.f64 (-.f64 (fma.f64 (log1p.f64 (neg.f64 y)) (+.f64 #s(literal -1 binary64) z) (neg.f64 (log.f64 y))) t) x))) |
(* x (- (+ (log y) (+ (* -1 (/ (log y) x)) (/ (* (log (- 1 y)) (- z 1)) x))) (/ t x))) |
(*.f64 x (+.f64 (log.f64 y) (/.f64 (-.f64 (fma.f64 (log1p.f64 (neg.f64 y)) (+.f64 #s(literal -1 binary64) z) (neg.f64 (log.f64 y))) t) x))) |
(* x (log y)) |
(*.f64 (log.f64 y) x) |
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (- (+ (* -1 (log y)) (* (log (- 1 y)) (- z 1))) t) x))))) |
(neg.f64 (*.f64 x (-.f64 (neg.f64 (log.f64 y)) (/.f64 (-.f64 (fma.f64 (log1p.f64 (neg.f64 y)) (+.f64 #s(literal -1 binary64) z) (neg.f64 (log.f64 y))) t) x)))) |
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (- (+ (* -1 (log y)) (* (log (- 1 y)) (- z 1))) t) x))))) |
(neg.f64 (*.f64 x (-.f64 (neg.f64 (log.f64 y)) (/.f64 (-.f64 (fma.f64 (log1p.f64 (neg.f64 y)) (+.f64 #s(literal -1 binary64) z) (neg.f64 (log.f64 y))) t) x)))) |
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (- (+ (* -1 (log y)) (* (log (- 1 y)) (- z 1))) t) x))))) |
(neg.f64 (*.f64 x (-.f64 (neg.f64 (log.f64 y)) (/.f64 (-.f64 (fma.f64 (log1p.f64 (neg.f64 y)) (+.f64 #s(literal -1 binary64) z) (neg.f64 (log.f64 y))) t) x)))) |
(- (* (log y) (- x 1)) t) |
(-.f64 (*.f64 (log.f64 y) (+.f64 #s(literal -1 binary64) x)) t) |
(- (+ (* -1 (* y (- z 1))) (* (log y) (- x 1))) t) |
(-.f64 (-.f64 (*.f64 (log.f64 y) (+.f64 #s(literal -1 binary64) x)) (fma.f64 y z (neg.f64 y))) t) |
(- (+ (* y (+ (* -1 (- z 1)) (* -1/2 (* y (- z 1))))) (* (log y) (- x 1))) t) |
(-.f64 (fma.f64 y (*.f64 (+.f64 #s(literal -1 binary64) z) (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))) (*.f64 (log.f64 y) (+.f64 #s(literal -1 binary64) x))) t) |
(- (+ (* y (+ (* -1 (- z 1)) (* y (+ (* -1/2 (- z 1)) (* -1/3 (* y (- z 1))))))) (* (log y) (- x 1))) t) |
(-.f64 (fma.f64 y (fma.f64 y (*.f64 (+.f64 #s(literal -1 binary64) z) (fma.f64 y #s(literal -1/3 binary64) #s(literal -1/2 binary64))) (+.f64 (neg.f64 z) #s(literal 1 binary64))) (*.f64 (log.f64 y) (+.f64 #s(literal -1 binary64) x))) t) |
(- (+ (* -1 (* (log (/ 1 y)) (- x 1))) (* (+ (log -1) (* -1 (log (/ 1 y)))) (- z 1))) t) |
(fma.f64 (log.f64 y) (+.f64 #s(literal -1 binary64) x) (fma.f64 (+.f64 #s(literal -1 binary64) z) (+.f64 (log.f64 y) (log.f64 #s(literal -1 binary64))) (neg.f64 t))) |
(- (+ (* -1 (* (log (/ 1 y)) (- x 1))) (+ (* -1 (/ (- z 1) y)) (* (+ (log -1) (* -1 (log (/ 1 y)))) (- z 1)))) t) |
(-.f64 (fma.f64 (+.f64 #s(literal -1 binary64) z) (+.f64 (log.f64 y) (log.f64 #s(literal -1 binary64))) (-.f64 (*.f64 (log.f64 y) (+.f64 #s(literal -1 binary64) x)) (/.f64 (+.f64 #s(literal -1 binary64) z) y))) t) |
(- (+ (* -1 (* (log (/ 1 y)) (- x 1))) (+ (* -1 (/ (- z 1) y)) (+ (* -1/2 (/ (- z 1) (pow y 2))) (* (+ (log -1) (* -1 (log (/ 1 y)))) (- z 1))))) t) |
(-.f64 (fma.f64 (log.f64 y) (+.f64 #s(literal -1 binary64) x) (-.f64 (fma.f64 (+.f64 #s(literal -1 binary64) z) (+.f64 (log.f64 y) (log.f64 #s(literal -1 binary64))) (/.f64 (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 y y))) (/.f64 (+.f64 #s(literal -1 binary64) z) y))) t) |
(- (+ (* -1 (* (log (/ 1 y)) (- x 1))) (+ (* -1 (/ (- z 1) y)) (+ (* -1/2 (/ (- z 1) (pow y 2))) (+ (* -1/3 (/ (- z 1) (pow y 3))) (* (+ (log -1) (* -1 (log (/ 1 y)))) (- z 1)))))) t) |
(-.f64 (fma.f64 (log.f64 y) (+.f64 #s(literal -1 binary64) x) (+.f64 (-.f64 (fma.f64 (+.f64 #s(literal -1 binary64) z) (+.f64 (log.f64 y) (log.f64 #s(literal -1 binary64))) (/.f64 (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 y y))) (/.f64 (+.f64 #s(literal -1 binary64) z) y)) (/.f64 (fma.f64 z #s(literal -1/3 binary64) #s(literal 1/3 binary64)) (*.f64 y (*.f64 y y))))) t) |
(- (+ (* -1 (* (log (/ -1 y)) (- z 1))) (* (+ (log -1) (* -1 (log (/ -1 y)))) (- x 1))) t) |
(-.f64 (fma.f64 (+.f64 #s(literal -1 binary64) x) (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 y)))) (*.f64 (+.f64 (neg.f64 z) #s(literal 1 binary64)) (neg.f64 (log.f64 (neg.f64 y))))) t) |
(- (+ (* -1 (* (log (/ -1 y)) (- z 1))) (+ (* -1 (/ (- z 1) y)) (* (+ (log -1) (* -1 (log (/ -1 y)))) (- x 1)))) t) |
(-.f64 (fma.f64 (+.f64 #s(literal -1 binary64) x) (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 y)))) (neg.f64 (fma.f64 (+.f64 #s(literal -1 binary64) z) (neg.f64 (log.f64 (neg.f64 y))) (/.f64 (+.f64 #s(literal -1 binary64) z) y)))) t) |
(- (+ (* -1 (* (log (/ -1 y)) (- z 1))) (+ (* -1 (/ (- (+ z (* 1/2 (/ (- z 1) y))) 1) y)) (* (+ (log -1) (* -1 (log (/ -1 y)))) (- x 1)))) t) |
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(neg.f64 (fma.f64 t (/.f64 (fma.f64 (log1p.f64 (neg.f64 y)) (+.f64 #s(literal -1 binary64) z) (*.f64 (log.f64 y) (+.f64 #s(literal -1 binary64) x))) (neg.f64 t)) t)) |
(pow t 3) |
(*.f64 t (*.f64 t t)) |
(pow t 3) |
(*.f64 t (*.f64 t t)) |
(pow t 3) |
(*.f64 t (*.f64 t t)) |
(pow t 3) |
(*.f64 t (*.f64 t t)) |
(pow t 3) |
(*.f64 t (*.f64 t t)) |
(pow t 3) |
(*.f64 t (*.f64 t t)) |
(pow t 3) |
(*.f64 t (*.f64 t t)) |
(pow t 3) |
(*.f64 t (*.f64 t t)) |
(pow t 3) |
(*.f64 t (*.f64 t t)) |
(pow t 3) |
(*.f64 t (*.f64 t t)) |
(pow t 3) |
(*.f64 t (*.f64 t t)) |
(pow t 3) |
(*.f64 t (*.f64 t t)) |
(* -1 (log (- 1 y))) |
(neg.f64 (log1p.f64 (neg.f64 y))) |
(+ (* -1 (log (- 1 y))) (* z (log (- 1 y)))) |
(*.f64 (log1p.f64 (neg.f64 y)) (+.f64 #s(literal -1 binary64) z)) |
(+ (* -1 (log (- 1 y))) (* z (log (- 1 y)))) |
(*.f64 (log1p.f64 (neg.f64 y)) (+.f64 #s(literal -1 binary64) z)) |
(+ (* -1 (log (- 1 y))) (* z (log (- 1 y)))) |
(*.f64 (log1p.f64 (neg.f64 y)) (+.f64 #s(literal -1 binary64) z)) |
(* z (log (- 1 y))) |
(*.f64 (log1p.f64 (neg.f64 y)) z) |
(* z (+ (log (- 1 y)) (* -1 (/ (log (- 1 y)) z)))) |
(*.f64 z (-.f64 (log1p.f64 (neg.f64 y)) (/.f64 (log1p.f64 (neg.f64 y)) z))) |
(* z (+ (log (- 1 y)) (* -1 (/ (log (- 1 y)) z)))) |
(*.f64 z (-.f64 (log1p.f64 (neg.f64 y)) (/.f64 (log1p.f64 (neg.f64 y)) z))) |
(* z (+ (log (- 1 y)) (* -1 (/ (log (- 1 y)) z)))) |
(*.f64 z (-.f64 (log1p.f64 (neg.f64 y)) (/.f64 (log1p.f64 (neg.f64 y)) z))) |
(* z (log (- 1 y))) |
(*.f64 (log1p.f64 (neg.f64 y)) z) |
(* -1 (* z (+ (* -1 (log (- 1 y))) (/ (log (- 1 y)) z)))) |
(*.f64 (neg.f64 z) (-.f64 (/.f64 (log1p.f64 (neg.f64 y)) z) (log1p.f64 (neg.f64 y)))) |
(* -1 (* z (+ (* -1 (log (- 1 y))) (/ (log (- 1 y)) z)))) |
(*.f64 (neg.f64 z) (-.f64 (/.f64 (log1p.f64 (neg.f64 y)) z) (log1p.f64 (neg.f64 y)))) |
(* -1 (* z (+ (* -1 (log (- 1 y))) (/ (log (- 1 y)) z)))) |
(*.f64 (neg.f64 z) (-.f64 (/.f64 (log1p.f64 (neg.f64 y)) z) (log1p.f64 (neg.f64 y)))) |
(* -1 (* y (- z 1))) |
(neg.f64 (fma.f64 y z (neg.f64 y))) |
(* y (+ (* -1 (- z 1)) (* -1/2 (* y (- z 1))))) |
(*.f64 (+.f64 #s(literal -1 binary64) z) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)))) |
(* y (+ (* -1 (- z 1)) (* y (+ (* -1/2 (- z 1)) (* -1/3 (* y (- z 1))))))) |
(*.f64 y (fma.f64 y (*.f64 (+.f64 #s(literal -1 binary64) z) (fma.f64 y #s(literal -1/3 binary64) #s(literal -1/2 binary64))) (+.f64 (neg.f64 z) #s(literal 1 binary64)))) |
(* y (+ (* -1 (- z 1)) (* y (+ (* -1/2 (- z 1)) (* y (+ (* -1/3 (- z 1)) (* -1/4 (* y (- z 1))))))))) |
(*.f64 y (fma.f64 y (fma.f64 y (*.f64 (+.f64 #s(literal -1 binary64) z) (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/3 binary64))) (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (+.f64 (neg.f64 z) #s(literal 1 binary64)))) |
(* (+ (log -1) (* -1 (log (/ 1 y)))) (- z 1)) |
(*.f64 (+.f64 #s(literal -1 binary64) z) (+.f64 (log.f64 y) (log.f64 #s(literal -1 binary64)))) |
(+ (* -1 (/ (- z 1) y)) (* (+ (log -1) (* -1 (log (/ 1 y)))) (- z 1))) |
(-.f64 (*.f64 (+.f64 #s(literal -1 binary64) z) (+.f64 (log.f64 y) (log.f64 #s(literal -1 binary64)))) (/.f64 (+.f64 #s(literal -1 binary64) z) y)) |
(+ (* -1 (/ (- z 1) y)) (+ (* -1/2 (/ (- z 1) (pow y 2))) (* (+ (log -1) (* -1 (log (/ 1 y)))) (- z 1)))) |
(-.f64 (fma.f64 (+.f64 #s(literal -1 binary64) z) (+.f64 (log.f64 y) (log.f64 #s(literal -1 binary64))) (/.f64 (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 y y))) (/.f64 (+.f64 #s(literal -1 binary64) z) y)) |
(+ (* -1 (/ (- z 1) y)) (+ (* -1/2 (/ (- z 1) (pow y 2))) (+ (* -1/3 (/ (- z 1) (pow y 3))) (* (+ (log -1) (* -1 (log (/ 1 y)))) (- z 1))))) |
(+.f64 (-.f64 (fma.f64 (+.f64 #s(literal -1 binary64) z) (+.f64 (log.f64 y) (log.f64 #s(literal -1 binary64))) (/.f64 (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 y y))) (/.f64 (+.f64 #s(literal -1 binary64) z) y)) (/.f64 (fma.f64 z #s(literal -1/3 binary64) #s(literal 1/3 binary64)) (*.f64 y (*.f64 y y)))) |
(* -1 (* (log (/ -1 y)) (- z 1))) |
(*.f64 (+.f64 (neg.f64 z) #s(literal 1 binary64)) (neg.f64 (log.f64 (neg.f64 y)))) |
(+ (* -1 (* (log (/ -1 y)) (- z 1))) (* -1 (/ (- z 1) y))) |
(neg.f64 (fma.f64 (+.f64 #s(literal -1 binary64) z) (neg.f64 (log.f64 (neg.f64 y))) (/.f64 (+.f64 #s(literal -1 binary64) z) y))) |
(+ (* -1 (* (log (/ -1 y)) (- z 1))) (* -1 (/ (- (+ z (* 1/2 (/ (- z 1) y))) 1) y))) |
(neg.f64 (fma.f64 (+.f64 #s(literal -1 binary64) z) (neg.f64 (log.f64 (neg.f64 y))) (/.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) z) y) #s(literal 1/2 binary64) (+.f64 #s(literal -1 binary64) z)) y))) |
(+ (* -1 (* (log (/ -1 y)) (- z 1))) (* -1 (/ (- (+ z (* -1 (/ (+ (* -1/2 (- z 1)) (* -1/3 (/ (- z 1) y))) y))) 1) y))) |
(neg.f64 (fma.f64 (+.f64 #s(literal -1 binary64) z) (neg.f64 (log.f64 (neg.f64 y))) (/.f64 (+.f64 #s(literal -1 binary64) (-.f64 z (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) z) y) (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64))) y))) y))) |
-1 |
#s(literal -1 binary64) |
(- (* -1 x) 1) |
(+.f64 #s(literal -1 binary64) (neg.f64 x)) |
(- (* x (- (* -1 x) 1)) 1) |
(fma.f64 x (+.f64 #s(literal -1 binary64) (neg.f64 x)) #s(literal -1 binary64)) |
(- (* x (- (* x (- (* -1 x) 1)) 1)) 1) |
(fma.f64 x (fma.f64 x (+.f64 #s(literal -1 binary64) (neg.f64 x)) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (+ 1 (/ 1 x)) x) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x) |
(/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x) |
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) x) |
(/ (+ 1 (+ (/ 1 x) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))) x) |
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (+ 1 (/ 1 x)) x) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x) |
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x)) |
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (neg.f64 x))) (neg.f64 x)) |
(* -1 (/ (- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1) x)) |
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (neg.f64 x))) (neg.f64 x)) |
| 1× | batch-egg-rewrite |
| 3 078× | lower-fma.f32 |
| 3 072× | lower-fma.f64 |
| 2 912× | lower-/.f32 |
| 2 902× | lower-/.f64 |
| 2 558× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 62 | 384 |
| 0 | 94 | 344 |
| 1 | 452 | 325 |
| 2 | 3895 | 321 |
| 0 | 8440 | 290 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (fma.f64 y (*.f64 (+.f64 #s(literal -1 binary64) z) (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))) (*.f64 (log.f64 y) (+.f64 #s(literal -1 binary64) x)))) t) |
#s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (fma.f64 y (*.f64 (+.f64 #s(literal -1 binary64) z) (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))) (*.f64 (log.f64 y) (+.f64 #s(literal -1 binary64) x)))) |
(fma.f64 y (*.f64 (+.f64 #s(literal -1 binary64) z) (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))) (*.f64 (log.f64 y) (+.f64 #s(literal -1 binary64) x))) |
(*.f64 (+.f64 #s(literal -1 binary64) z) (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 #s(approx (log (+ 1 (neg y))) (neg.f64 y)) z)) t) |
#s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 #s(approx (log (+ 1 (neg y))) (neg.f64 y)) z)) |
(*.f64 #s(approx (log (+ 1 (neg y))) (neg.f64 y)) z) |
#s(approx (log (+ 1 (neg y))) (neg.f64 y)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) (+.f64 #s(literal 0 binary64) (fma.f64 t t (*.f64 #s(literal 0 binary64) t)))) |
(*.f64 #s(literal 0 binary64) t) |
(+.f64 #s(literal 0 binary64) (fma.f64 t t (*.f64 #s(literal 0 binary64) t))) |
(-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (+ x -1) (log y)) (+ (* (+ z -1) (log (+ 1 (neg y)))) (neg t))) (*.f64 (log.f64 y) x)))) |
(/.f64 #s(literal 1 binary64) #s(approx (+ (* (+ x -1) (log y)) (+ (* (+ z -1) (log (+ 1 (neg y)))) (neg t))) (*.f64 (log.f64 y) x))) |
#s(approx (+ (* (+ x -1) (log y)) (+ (* (+ z -1) (log (+ 1 (neg y)))) (neg t))) (*.f64 (log.f64 y) x)) |
(*.f64 (log.f64 y) x) |
(/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) |
(+.f64 (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) (*.f64 (-.f64 z #s(literal 1 binary64)) (log.f64 (-.f64 #s(literal 1 binary64) y)))) |
(log.f64 (-.f64 #s(literal 1 binary64) y)) |
(-.f64 (+.f64 (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) (*.f64 (-.f64 z #s(literal 1 binary64)) (log.f64 (-.f64 #s(literal 1 binary64) y)))) t) |
(*.f64 (log.f64 y) (+.f64 #s(literal -1 binary64) x)) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) (+.f64 #s(literal 0 binary64) (fma.f64 t t (*.f64 #s(literal 0 binary64) t))))) |
(*.f64 t (*.f64 t t)) |
(*.f64 (-.f64 z #s(literal 1 binary64)) (log.f64 (-.f64 #s(literal 1 binary64) y))) |
(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) |
| Outputs |
|---|
(+.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (fma.f64 (+.f64 z #s(literal -1 binary64)) (*.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) y) (*.f64 (log.f64 y) (+.f64 x #s(literal -1 binary64))))) t) |
(+.f64 t #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (fma.f64 (+.f64 z #s(literal -1 binary64)) (*.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) y) (*.f64 (log.f64 y) (+.f64 x #s(literal -1 binary64)))))) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (fma.f64 (+.f64 z #s(literal -1 binary64)) (*.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) y) (*.f64 (log.f64 y) (+.f64 x #s(literal -1 binary64))))) t) |
(-.f64 (/.f64 (pow.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (fma.f64 (+.f64 z #s(literal -1 binary64)) (*.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) y) (*.f64 (log.f64 y) (+.f64 x #s(literal -1 binary64))))) #s(literal 3 binary64)) (fma.f64 t (+.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (fma.f64 (+.f64 z #s(literal -1 binary64)) (*.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) y) (*.f64 (log.f64 y) (+.f64 x #s(literal -1 binary64))))) t) (pow.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (fma.f64 (+.f64 z #s(literal -1 binary64)) (*.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) y) (*.f64 (log.f64 y) (+.f64 x #s(literal -1 binary64))))) #s(literal 2 binary64)))) (/.f64 (*.f64 t (*.f64 t t)) (fma.f64 t (+.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (fma.f64 (+.f64 z #s(literal -1 binary64)) (*.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) y) (*.f64 (log.f64 y) (+.f64 x #s(literal -1 binary64))))) t) (pow.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (fma.f64 (+.f64 z #s(literal -1 binary64)) (*.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) y) (*.f64 (log.f64 y) (+.f64 x #s(literal -1 binary64))))) #s(literal 2 binary64))))) |
(-.f64 (/.f64 (pow.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (fma.f64 (+.f64 z #s(literal -1 binary64)) (*.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) y) (*.f64 (log.f64 y) (+.f64 x #s(literal -1 binary64))))) #s(literal 2 binary64)) (+.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (fma.f64 (+.f64 z #s(literal -1 binary64)) (*.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) y) (*.f64 (log.f64 y) (+.f64 x #s(literal -1 binary64))))) t)) (/.f64 (*.f64 t t) (+.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (fma.f64 (+.f64 z #s(literal -1 binary64)) (*.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) y) (*.f64 (log.f64 y) (+.f64 x #s(literal -1 binary64))))) t))) |
(-.f64 (+.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (fma.f64 (+.f64 z #s(literal -1 binary64)) (*.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) y) (*.f64 (log.f64 y) (+.f64 x #s(literal -1 binary64))))) #s(literal 0 binary64)) t) |
(fma.f64 #s(literal 1 binary64) t #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (fma.f64 (+.f64 z #s(literal -1 binary64)) (*.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) y) (*.f64 (log.f64 y) (+.f64 x #s(literal -1 binary64)))))) |
(fma.f64 #s(literal -1 binary64) t #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (fma.f64 (+.f64 z #s(literal -1 binary64)) (*.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) y) (*.f64 (log.f64 y) (+.f64 x #s(literal -1 binary64)))))) |
(fma.f64 t #s(literal 1 binary64) #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (fma.f64 (+.f64 z #s(literal -1 binary64)) (*.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) y) (*.f64 (log.f64 y) (+.f64 x #s(literal -1 binary64)))))) |
(fma.f64 t #s(literal -1 binary64) #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (fma.f64 (+.f64 z #s(literal -1 binary64)) (*.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) y) (*.f64 (log.f64 y) (+.f64 x #s(literal -1 binary64)))))) |
(fma.f64 t (/.f64 t t) #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (fma.f64 (+.f64 z #s(literal -1 binary64)) (*.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) y) (*.f64 (log.f64 y) (+.f64 x #s(literal -1 binary64)))))) |
(fma.f64 t (pow.f64 (/.f64 t t) #s(literal 1 binary64)) #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (fma.f64 (+.f64 z #s(literal -1 binary64)) (*.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) y) (*.f64 (log.f64 y) (+.f64 x #s(literal -1 binary64)))))) |
(fma.f64 (*.f64 t t) (/.f64 t (*.f64 t t)) #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (fma.f64 (+.f64 z #s(literal -1 binary64)) (*.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) y) (*.f64 (log.f64 y) (+.f64 x #s(literal -1 binary64)))))) |
(fma.f64 (*.f64 t t) (pow.f64 (/.f64 t (*.f64 t t)) #s(literal 1 binary64)) #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (fma.f64 (+.f64 z #s(literal -1 binary64)) (*.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) y) (*.f64 (log.f64 y) (+.f64 x #s(literal -1 binary64)))))) |
(fma.f64 (*.f64 t (*.f64 t t)) (/.f64 #s(literal 1 binary64) (*.f64 t t)) #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (fma.f64 (+.f64 z #s(literal -1 binary64)) (*.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) y) (*.f64 (log.f64 y) (+.f64 x #s(literal -1 binary64)))))) |
(fma.f64 (*.f64 t (*.f64 t t)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 t t)) #s(literal 1 binary64)) #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (fma.f64 (+.f64 z #s(literal -1 binary64)) (*.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) y) (*.f64 (log.f64 y) (+.f64 x #s(literal -1 binary64)))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) t) (*.f64 t t) #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (fma.f64 (+.f64 z #s(literal -1 binary64)) (*.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) y) (*.f64 (log.f64 y) (+.f64 x #s(literal -1 binary64)))))) |
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(pow.f64 t #s(literal 3 binary64)) |
(pow.f64 (*.f64 t t) #s(literal 3/2 binary64)) |
(pow.f64 (*.f64 t (*.f64 t t)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) t) #s(literal -3 binary64)) |
(pow.f64 (/.f64 (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))) (*.f64 (*.f64 t (*.f64 t t)) (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 t #s(literal 3/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 t t))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 t (*.f64 t t))) |
(*.f64 #s(literal -1 binary64) (*.f64 t (*.f64 t t))) |
(*.f64 t (*.f64 t t)) |
(*.f64 (*.f64 t t) t) |
(*.f64 (*.f64 t (*.f64 t t)) #s(literal 1 binary64)) |
(*.f64 (*.f64 t (*.f64 t t)) #s(literal -1 binary64)) |
(*.f64 (*.f64 t (*.f64 t t)) (pow.f64 (/.f64 t t) #s(literal 3 binary64))) |
(*.f64 (*.f64 (*.f64 t (*.f64 t t)) (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t))))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))))) |
(*.f64 (*.f64 (*.f64 t (*.f64 t t)) (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t))))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 t (*.f64 t t)))) #s(literal 3/2 binary64))) |
(*.f64 (*.f64 (*.f64 t (*.f64 t t)) (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t))))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 t t)) #s(literal 3 binary64))) |
(*.f64 (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))) (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 t t)))) |
(*.f64 (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 t t)) #s(literal 3/2 binary64))) |
(*.f64 (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))) (pow.f64 (/.f64 t (*.f64 t t)) #s(literal 3 binary64))) |
(*.f64 (pow.f64 t #s(literal 3/2 binary64)) (pow.f64 t #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) (*.f64 t (*.f64 t t))) |
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 3/2 binary64)) (*.f64 t (*.f64 t t))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 t t)) #s(literal 3 binary64)) (*.f64 (*.f64 t (*.f64 t t)) (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))))) |
(*.f64 (pow.f64 (/.f64 t t) #s(literal 3 binary64)) (*.f64 t (*.f64 t t))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 t t))) #s(literal 3 binary64)) (*.f64 (*.f64 t (*.f64 t (*.f64 t t))) (*.f64 (*.f64 t t) (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t))))))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) t) #s(literal 3 binary64)) (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t))))) |
(+.f64 (*.f64 (log1p.f64 (neg.f64 y)) z) (*.f64 (log1p.f64 (neg.f64 y)) #s(literal -1 binary64))) |
(+.f64 (*.f64 (log1p.f64 (neg.f64 y)) #s(literal -1 binary64)) (*.f64 (log1p.f64 (neg.f64 y)) z)) |
(+.f64 (*.f64 z (log1p.f64 (neg.f64 y))) (*.f64 #s(literal -1 binary64) (log1p.f64 (neg.f64 y)))) |
(+.f64 (*.f64 #s(literal -1 binary64) (log1p.f64 (neg.f64 y))) (*.f64 z (log1p.f64 (neg.f64 y)))) |
(fma.f64 z (log1p.f64 (neg.f64 y)) (*.f64 #s(literal -1 binary64) (log1p.f64 (neg.f64 y)))) |
(fma.f64 #s(literal -1 binary64) (log1p.f64 (neg.f64 y)) (*.f64 z (log1p.f64 (neg.f64 y)))) |
(fma.f64 (log1p.f64 (neg.f64 y)) z (*.f64 (log1p.f64 (neg.f64 y)) #s(literal -1 binary64))) |
(fma.f64 (log1p.f64 (neg.f64 y)) #s(literal -1 binary64) (*.f64 (log1p.f64 (neg.f64 y)) z)) |
(/.f64 (*.f64 (log1p.f64 (neg.f64 y)) (fma.f64 z (*.f64 z z) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 z z z))) |
(/.f64 (*.f64 (log1p.f64 (neg.f64 y)) (fma.f64 z (*.f64 z z) #s(literal -1 binary64))) (fma.f64 z z (-.f64 #s(literal 1 binary64) (neg.f64 z)))) |
(/.f64 (*.f64 (log1p.f64 (neg.f64 y)) (fma.f64 z (*.f64 z z) #s(literal -1 binary64))) (fma.f64 z z (+.f64 #s(literal 1 binary64) z))) |
(/.f64 (*.f64 (log1p.f64 (neg.f64 y)) (-.f64 #s(literal 1 binary64) (*.f64 z z))) (-.f64 #s(literal -1 binary64) z)) |
(/.f64 (*.f64 (log1p.f64 (neg.f64 y)) (fma.f64 z z #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) z)) |
(/.f64 (*.f64 (fma.f64 z (*.f64 z z) #s(literal -1 binary64)) (log1p.f64 (neg.f64 y))) (+.f64 #s(literal 1 binary64) (fma.f64 z z z))) |
(/.f64 (*.f64 (fma.f64 z (*.f64 z z) #s(literal -1 binary64)) (log1p.f64 (neg.f64 y))) (fma.f64 z z (-.f64 #s(literal 1 binary64) (neg.f64 z)))) |
(/.f64 (*.f64 (fma.f64 z (*.f64 z z) #s(literal -1 binary64)) (log1p.f64 (neg.f64 y))) (fma.f64 z z (+.f64 #s(literal 1 binary64) z))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (log1p.f64 (neg.f64 y))) (-.f64 #s(literal -1 binary64) z)) |
(/.f64 (*.f64 (fma.f64 z z #s(literal -1 binary64)) (log1p.f64 (neg.f64 y))) (+.f64 #s(literal 1 binary64) z)) |
(/.f64 (neg.f64 (*.f64 (log1p.f64 (neg.f64 y)) (fma.f64 z (*.f64 z z) #s(literal -1 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 z z z)))) |
(/.f64 (neg.f64 (*.f64 (log1p.f64 (neg.f64 y)) (fma.f64 z (*.f64 z z) #s(literal -1 binary64)))) (neg.f64 (fma.f64 z z (-.f64 #s(literal 1 binary64) (neg.f64 z))))) |
(/.f64 (neg.f64 (*.f64 (log1p.f64 (neg.f64 y)) (fma.f64 z (*.f64 z z) #s(literal -1 binary64)))) (neg.f64 (fma.f64 z z (+.f64 #s(literal 1 binary64) z)))) |
(/.f64 (neg.f64 (*.f64 (log1p.f64 (neg.f64 y)) (-.f64 #s(literal 1 binary64) (*.f64 z z)))) (neg.f64 (-.f64 #s(literal -1 binary64) z))) |
(/.f64 (neg.f64 (*.f64 (log1p.f64 (neg.f64 y)) (fma.f64 z z #s(literal -1 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) z))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 z (*.f64 z z) #s(literal -1 binary64)) (log1p.f64 (neg.f64 y)))) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 z z z)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 z (*.f64 z z) #s(literal -1 binary64)) (log1p.f64 (neg.f64 y)))) (neg.f64 (fma.f64 z z (-.f64 #s(literal 1 binary64) (neg.f64 z))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 z (*.f64 z z) #s(literal -1 binary64)) (log1p.f64 (neg.f64 y)))) (neg.f64 (fma.f64 z z (+.f64 #s(literal 1 binary64) z)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (log1p.f64 (neg.f64 y)))) (neg.f64 (-.f64 #s(literal -1 binary64) z))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 z z #s(literal -1 binary64)) (log1p.f64 (neg.f64 y)))) (neg.f64 (+.f64 #s(literal 1 binary64) z))) |
(*.f64 (+.f64 z #s(literal -1 binary64)) (log1p.f64 (neg.f64 y))) |
(*.f64 (log1p.f64 (neg.f64 y)) (+.f64 z #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal 1 binary64) (neg.f64 x)))) |
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (neg.f64 x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (neg.f64 x))))) |
(pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) |
(pow.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (neg.f64 x))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))) #s(literal -1/2 binary64)) |
(pow.f64 (exp.f64 (log.f64 (+.f64 x #s(literal -1 binary64)))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) |
(*.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) (neg.f64 x)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (+.f64 (fma.f64 x x #s(literal 1 binary64)) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x #s(literal 1 binary64)) x)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) (neg.f64 x)))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal -1 binary64) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))) |
Compiled 40 100 to 3 115 computations (92.2% saved)
55 alts after pruning (52 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 539 | 42 | 1 581 |
| Fresh | 12 | 10 | 22 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 554 | 55 | 1 609 |
| Status | Accuracy | Program |
|---|---|---|
| 62.3% | (fma.f64 (*.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) (log.f64 y)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x #s(literal 1 binary64)) x)) (fma.f64 (+.f64 z #s(literal -1 binary64)) (log1p.f64 (neg.f64 y)) (neg.f64 t))) | |
| 73.2% | (fma.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (log.f64 y)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (fma.f64 (+.f64 z #s(literal -1 binary64)) (log1p.f64 (neg.f64 y)) (neg.f64 t))) | |
| 21.1% | (pow.f64 (pow.f64 #s(approx (+ (* (+ x -1) (log y)) (+ (* (+ z -1) (log (+ 1 (neg y)))) (neg t))) (*.f64 x (log.f64 y))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) | |
| 7.9% | (/.f64 (fma.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z #s(approx (log (+ 1 (neg y))) (neg.f64 y)))) #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z #s(approx (log (+ 1 (neg y))) (neg.f64 y)))) (*.f64 t t)) (+.f64 t #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z #s(approx (log (+ 1 (neg y))) (neg.f64 y)))))) | |
| 40.0% | (/.f64 (fma.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (fma.f64 (+.f64 z #s(literal -1 binary64)) (log1p.f64 (neg.f64 y)) t) #s(literal 2 binary64)) (*.f64 (log1p.f64 (neg.f64 y)) (*.f64 (+.f64 z #s(literal -1 binary64)) t))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 y) (+.f64 x #s(literal -1 binary64)))) (fma.f64 t (*.f64 t t) (pow.f64 (*.f64 (+.f64 z #s(literal -1 binary64)) (log1p.f64 (neg.f64 y))) #s(literal 3 binary64))))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 y) (+.f64 x #s(literal -1 binary64)))) (-.f64 (pow.f64 (fma.f64 (+.f64 z #s(literal -1 binary64)) (log1p.f64 (neg.f64 y)) t) #s(literal 2 binary64)) (*.f64 (log1p.f64 (neg.f64 y)) (*.f64 (+.f64 z #s(literal -1 binary64)) t))))) | |
| 21.1% | (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 #s(approx (+ (* (+ x -1) (log y)) (+ (* (+ z -1) (log (+ 1 (neg y)))) (neg t))) (*.f64 x (log.f64 y))) #s(literal -1/2 binary64)) #s(literal 2 binary64))) | |
| ✓ | 40.0% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (+ x -1) (log y)) (+ (* (+ z -1) (log (+ 1 (neg y)))) (neg t))) (*.f64 (log.f64 y) x)))) |
| 39.8% | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ x -1) (log y)) (+ (* (+ z -1) (log (+ 1 (neg y)))) (neg t)))) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (log.f64 y)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (log.f64 y)) (-.f64 (/.f64 t (pow.f64 (log.f64 y) #s(literal 2 binary64))) (/.f64 (*.f64 (log1p.f64 (neg.f64 y)) (+.f64 #s(literal -1 binary64) z)) (pow.f64 (log.f64 y) #s(literal 2 binary64))))) x)) (neg.f64 x)))) | |
| 35.4% | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ x -1) (log y)) (+ (* (+ z -1) (log (+ 1 (neg y)))) (neg t)))) (/.f64 #s(literal -1 binary64) t))) | |
| 99.5% | (-.f64 (+.f64 (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) (*.f64 (-.f64 z #s(literal 1 binary64)) #s(approx (log (- 1 y)) (neg.f64 y)))) t) | |
| ▶ | 61.4% | (-.f64 (+.f64 #s(approx (* (- x 1) (log y)) (neg.f64 (log.f64 y))) (*.f64 (-.f64 z #s(literal 1 binary64)) #s(approx (log (- 1 y)) (*.f64 y (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))))) t) |
| 61.4% | (-.f64 (+.f64 #s(approx (* (- x 1) (log y)) (neg.f64 (log.f64 y))) (*.f64 (-.f64 z #s(literal 1 binary64)) #s(approx (log (- 1 y)) (*.f64 y (fma.f64 y (fma.f64 y #s(literal -1/3 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)))))) t) | |
| 91.1% | (-.f64 #s(approx (+ (/ (log y) (/ 1 (+ x -1))) (* (- z 1) (log (- 1 y)))) (*.f64 (log.f64 y) (+.f64 #s(literal -1 binary64) x))) t) | |
| 73.3% | (-.f64 #s(approx (+ (/ (log y) (/ 1 (+ x -1))) (* (- z 1) (log (- 1 y)))) (*.f64 (log.f64 y) x)) t) | |
| ▶ | 99.6% | (-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (fma.f64 y (-.f64 #s(literal 1 binary64) z) (*.f64 (log.f64 y) (+.f64 #s(literal -1 binary64) x)))) t) |
| 62.2% | (-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (fma.f64 y (*.f64 (+.f64 #s(literal -1 binary64) z) (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))) (/.f64 (*.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) (log.f64 y)) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))) t) | |
| 73.1% | (-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (fma.f64 y (*.f64 (+.f64 #s(literal -1 binary64) z) (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))) (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (log.f64 y)) (+.f64 x #s(literal 1 binary64))))) t) | |
| 61.3% | (-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (fma.f64 y (*.f64 (+.f64 #s(literal -1 binary64) z) (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))) #s(approx (* (log y) (+ -1 x)) (neg.f64 (log.f64 y))))) t) | |
| ✓ | 43.8% | (-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 #s(approx (log (+ 1 (neg y))) (neg.f64 y)) z)) t) |
| 31.9% | (-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* y (* (+ -1 z) (+ (* y -1/2) -1))) (* (log y) (+ -1 x))) (*.f64 (*.f64 y y) (fma.f64 (log.f64 y) (/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 y y)) (-.f64 (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (+.f64 #s(literal -1 binary64) z) y)))))) t) | |
| ▶ | 31.1% | (-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* y (* (+ -1 z) (+ (* y -1/2) -1))) (* (log y) (+ -1 x))) (*.f64 (*.f64 y y) (-.f64 (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (+.f64 #s(literal -1 binary64) z) y))))) t) |
| 35.9% | (-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* y (* (+ -1 z) (+ (* y -1/2) -1))) (* (log y) (+ -1 x))) (*.f64 y (*.f64 y (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) t) | |
| 86.2% | (-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* y (* (+ -1 z) (+ (* y -1/2) -1))) (* (log y) (+ -1 x))) (neg.f64 (*.f64 (neg.f64 z) (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) (/.f64 (-.f64 (*.f64 (log.f64 y) (+.f64 #s(literal -1 binary64) x)) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)))) z)))))) t) | |
| 10.5% | (+.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z #s(approx (log (+ 1 (neg y))) (neg.f64 y)))) t) | |
| 5.0% | (*.f64 (fma.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z #s(approx (log (+ 1 (neg y))) (neg.f64 y)))) (*.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z #s(approx (log (+ 1 (neg y))) (neg.f64 y)))) #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z #s(approx (log (+ 1 (neg y))) (neg.f64 y))))) (*.f64 t (*.f64 t t))) (/.f64 #s(literal 1 binary64) (fma.f64 t (+.f64 t #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z #s(approx (log (+ 1 (neg y))) (neg.f64 y))))) (*.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z #s(approx (log (+ 1 (neg y))) (neg.f64 y)))) #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z #s(approx (log (+ 1 (neg y))) (neg.f64 y)))))))) | |
| 7.9% | (*.f64 (fma.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z #s(approx (log (+ 1 (neg y))) (neg.f64 y)))) #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z #s(approx (log (+ 1 (neg y))) (neg.f64 y)))) (*.f64 t t)) (/.f64 #s(literal 1 binary64) (+.f64 t #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z #s(approx (log (+ 1 (neg y))) (neg.f64 y))))))) | |
| 40.1% | #s(approx (/ 1 (/ 1 (+ (* (+ x -1) (log y)) (+ (* (+ z -1) (log (+ 1 (neg y)))) (neg t))))) (*.f64 (log.f64 y) x)) | |
| 82.0% | #s(approx (/ 1 (/ 1 (+ (* (+ x -1) (log y)) (+ (* (+ z -1) (log (+ 1 (neg y)))) (neg t))))) (*.f64 t (fma.f64 (log1p.f64 (neg.f64 y)) (/.f64 (+.f64 #s(literal -1 binary64) z) t) (fma.f64 (+.f64 #s(literal -1 binary64) x) (/.f64 (log.f64 y) t) #s(literal -1 binary64))))) | |
| 82.0% | #s(approx (/ 1 (/ 1 (+ (* (+ x -1) (log y)) (+ (* (+ z -1) (log (+ 1 (neg y)))) (neg t))))) (*.f64 t (fma.f64 (log.f64 y) (/.f64 (+.f64 #s(literal -1 binary64) x) t) (fma.f64 (log1p.f64 (neg.f64 y)) (/.f64 (+.f64 #s(literal -1 binary64) z) t) #s(literal -1 binary64))))) | |
| ▶ | 1.1% | #s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (/.f64 (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))) (*.f64 t (*.f64 t t))) (+.f64 #s(literal 0 binary64) (fma.f64 t t (*.f64 #s(literal 0 binary64) t))))) |
| 1.5% | #s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 t t)))) (+.f64 #s(literal 0 binary64) (fma.f64 t t (*.f64 #s(literal 0 binary64) t))))) | |
| 2.2% | #s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))) (*.f64 t (*.f64 t t)))) (+.f64 #s(literal 0 binary64) (fma.f64 t t (*.f64 #s(literal 0 binary64) t))))) | |
| 3.1% | #s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 t t) (*.f64 t (*.f64 t t)))) (*.f64 t (*.f64 t (*.f64 t t))))) | |
| 4.8% | #s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) (/.f64 (*.f64 t (*.f64 t (*.f64 t t))) (*.f64 t t)))) | |
| 0.9% | #s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) (/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))) #s(literal 0 binary64))) (*.f64 t (*.f64 t (*.f64 t t)))))) | |
| 6.6% | #s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 t t))))) | |
| 6.6% | #s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) (*.f64 t t))) | |
| 0.9% | #s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (*.f64 (*.f64 (*.f64 t (*.f64 t t)) (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t))))) (/.f64 #s(literal 1 binary64) (*.f64 t t))) (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))))) | |
| 0.7% | #s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (*.f64 (*.f64 t (*.f64 t t)) (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t))))) (neg.f64 (*.f64 (*.f64 t t) (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))))))) | |
| 0.7% | #s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))) (*.f64 (*.f64 t t) (*.f64 t (*.f64 t t))))) | |
| 1.7% | #s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))) (neg.f64 (*.f64 (*.f64 t t) (*.f64 t (*.f64 t t)))))) | |
| 1.5% | #s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (*.f64 t (*.f64 t t)) (*.f64 t t))) | |
| 13.4% | #s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (*.f64 t t) (neg.f64 (-.f64 t #s(literal 0 binary64))))) | |
| 2.2% | #s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (*.f64 t t) t)) | |
| 8.9% | #s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (neg.f64 (/.f64 (*.f64 t (*.f64 t t)) t)) t)) | |
| 0.9% | #s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 t t) (*.f64 t (*.f64 t t))))) (*.f64 t (*.f64 t (*.f64 t t))))) | |
| 0.8% | #s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 t (*.f64 t t)) (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t))))) (/.f64 #s(literal 1 binary64) (*.f64 t t)))) (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))))) | |
| 2.2% | #s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))) (/.f64 #s(literal 1 binary64) (*.f64 t t)))) (*.f64 t (*.f64 t t)))) | |
| 2.3% | #s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))) | |
| 87.4% | #s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (-.f64 (*.f64 t (/.f64 (fma.f64 (log.f64 y) (+.f64 #s(literal -1 binary64) x) (*.f64 (log1p.f64 (neg.f64 y)) (+.f64 #s(literal -1 binary64) z))) t)) t)) | |
| 1.1% | #s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 t t))) (*.f64 t (*.f64 t (*.f64 t t))))) | |
| 1.5% | #s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 t t)) (*.f64 t (*.f64 t t)))) | |
| 2.2% | #s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (*.f64 (/.f64 #s(literal 1 binary64) t) (*.f64 t t))) | |
| ✓ | 35.5% | #s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (neg.f64 t)) |
| ▶ | 2.3% | #s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) t) |
Compiled 2 584 to 1 331 computations (48.5% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (neg.f64 (log.f64 y)) |
| ✓ | cost-diff | 0 | #s(approx (* (- x 1) (log y)) (neg.f64 (log.f64 y))) |
| ✓ | cost-diff | 0 | (-.f64 (+.f64 #s(approx (* (- x 1) (log y)) (neg.f64 (log.f64 y))) (*.f64 (-.f64 z #s(literal 1 binary64)) #s(approx (log (- 1 y)) (*.f64 y (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))))) t) |
| ✓ | cost-diff | 128 | (+.f64 #s(approx (* (- x 1) (log y)) (neg.f64 (log.f64 y))) (*.f64 (-.f64 z #s(literal 1 binary64)) #s(approx (log (- 1 y)) (*.f64 y (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))))) |
| ✓ | cost-diff | 192 | (+.f64 #s(literal 0 binary64) (fma.f64 t t (*.f64 #s(literal 0 binary64) t))) |
| ✓ | cost-diff | 320 | (*.f64 #s(literal 0 binary64) t) |
| ✓ | cost-diff | 1664 | (/.f64 (/.f64 (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))) (*.f64 t (*.f64 t t))) (+.f64 #s(literal 0 binary64) (fma.f64 t t (*.f64 #s(literal 0 binary64) t)))) |
| ✓ | cost-diff | 2304 | (/.f64 (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))) (*.f64 t (*.f64 t t))) |
| ✓ | cost-diff | 0 | #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* y (* (+ -1 z) (+ (* y -1/2) -1))) (* (log y) (+ -1 x))) (*.f64 (*.f64 y y) (-.f64 (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (+.f64 #s(literal -1 binary64) z) y))))) |
| ✓ | cost-diff | 0 | (-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* y (* (+ -1 z) (+ (* y -1/2) -1))) (* (log y) (+ -1 x))) (*.f64 (*.f64 y y) (-.f64 (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (+.f64 #s(literal -1 binary64) z) y))))) t) |
| ✓ | cost-diff | 64 | (-.f64 (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (+.f64 #s(literal -1 binary64) z) y)) |
| ✓ | cost-diff | 832 | (*.f64 (*.f64 y y) (-.f64 (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (+.f64 #s(literal -1 binary64) z) y))) |
| ✓ | cost-diff | 0 | #s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) t) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 1 binary64) z) |
| ✓ | cost-diff | 0 | (fma.f64 y (-.f64 #s(literal 1 binary64) z) (*.f64 (log.f64 y) (+.f64 #s(literal -1 binary64) x))) |
| ✓ | cost-diff | 0 | #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (fma.f64 y (-.f64 #s(literal 1 binary64) z) (*.f64 (log.f64 y) (+.f64 #s(literal -1 binary64) x)))) |
| ✓ | cost-diff | 0 | (-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (fma.f64 y (-.f64 #s(literal 1 binary64) z) (*.f64 (log.f64 y) (+.f64 #s(literal -1 binary64) x)))) t) |
| 11 008× | lower-fma.f32 |
| 10 996× | lower-fma.f64 |
| 3 656× | lower-+.f32 |
| 3 648× | lower-+.f64 |
| 2 108× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 66 | 580 |
| 0 | 102 | 514 |
| 1 | 216 | 500 |
| 2 | 577 | 496 |
| 3 | 1878 | 487 |
| 4 | 5392 | 479 |
| 0 | 8271 | 451 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (fma.f64 y (-.f64 #s(literal 1 binary64) z) (*.f64 (log.f64 y) (+.f64 #s(literal -1 binary64) x)))) t) |
#s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (fma.f64 y (-.f64 #s(literal 1 binary64) z) (*.f64 (log.f64 y) (+.f64 #s(literal -1 binary64) x)))) |
(fma.f64 y (-.f64 #s(literal 1 binary64) z) (*.f64 (log.f64 y) (+.f64 #s(literal -1 binary64) x))) |
y |
(-.f64 #s(literal 1 binary64) z) |
#s(literal 1 binary64) |
z |
(*.f64 (log.f64 y) (+.f64 #s(literal -1 binary64) x)) |
(log.f64 y) |
(+.f64 #s(literal -1 binary64) x) |
#s(literal -1 binary64) |
x |
t |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) t) |
t |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* y (* (+ -1 z) (+ (* y -1/2) -1))) (* (log y) (+ -1 x))) (*.f64 (*.f64 y y) (-.f64 (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (+.f64 #s(literal -1 binary64) z) y))))) t) |
#s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* y (* (+ -1 z) (+ (* y -1/2) -1))) (* (log y) (+ -1 x))) (*.f64 (*.f64 y y) (-.f64 (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (+.f64 #s(literal -1 binary64) z) y))))) |
#s(approx (+ (* y (* (+ -1 z) (+ (* y -1/2) -1))) (* (log y) (+ -1 x))) (*.f64 (*.f64 y y) (-.f64 (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (+.f64 #s(literal -1 binary64) z) y)))) |
(*.f64 (*.f64 y y) (-.f64 (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (+.f64 #s(literal -1 binary64) z) y))) |
(*.f64 y y) |
y |
(-.f64 (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (+.f64 #s(literal -1 binary64) z) y)) |
(fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64)) |
z |
#s(literal -1/2 binary64) |
#s(literal 1/2 binary64) |
(/.f64 (+.f64 #s(literal -1 binary64) z) y) |
(+.f64 #s(literal -1 binary64) z) |
#s(literal -1 binary64) |
t |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (/.f64 (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))) (*.f64 t (*.f64 t t))) (+.f64 #s(literal 0 binary64) (fma.f64 t t (*.f64 #s(literal 0 binary64) t))))) |
(/.f64 (/.f64 (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))) (*.f64 t (*.f64 t t))) (+.f64 #s(literal 0 binary64) (fma.f64 t t (*.f64 #s(literal 0 binary64) t)))) |
(/.f64 (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))) (*.f64 t (*.f64 t t))) |
(*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))) |
(*.f64 t t) |
t |
(*.f64 t (*.f64 t (*.f64 t t))) |
(*.f64 t (*.f64 t t)) |
(+.f64 #s(literal 0 binary64) (fma.f64 t t (*.f64 #s(literal 0 binary64) t))) |
#s(literal 0 binary64) |
(fma.f64 t t (*.f64 #s(literal 0 binary64) t)) |
(*.f64 #s(literal 0 binary64) t) |
(-.f64 (+.f64 #s(approx (* (- x 1) (log y)) (neg.f64 (log.f64 y))) (*.f64 (-.f64 z #s(literal 1 binary64)) #s(approx (log (- 1 y)) (*.f64 y (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))))) t) |
(+.f64 #s(approx (* (- x 1) (log y)) (neg.f64 (log.f64 y))) (*.f64 (-.f64 z #s(literal 1 binary64)) #s(approx (log (- 1 y)) (*.f64 y (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))))) |
#s(approx (* (- x 1) (log y)) (neg.f64 (log.f64 y))) |
(neg.f64 (log.f64 y)) |
(log.f64 y) |
y |
(*.f64 (-.f64 z #s(literal 1 binary64)) #s(approx (log (- 1 y)) (*.f64 y (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))))) |
(-.f64 z #s(literal 1 binary64)) |
z |
#s(literal 1 binary64) |
#s(approx (log (- 1 y)) (*.f64 y (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) |
(*.f64 y (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))) |
(fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) |
(fma.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) |
(fma.f64 y #s(literal -1/4 binary64) #s(literal -1/3 binary64)) |
#s(literal -1/4 binary64) |
#s(literal -1/3 binary64) |
#s(literal -1/2 binary64) |
#s(literal -1 binary64) |
t |
| Outputs |
|---|
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (fma.f64 y (-.f64 #s(literal 1 binary64) z) (*.f64 (log.f64 y) (+.f64 #s(literal -1 binary64) x)))) t) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (fma.f64 y (-.f64 #s(literal 1 binary64) z) (*.f64 (log.f64 y) (+.f64 x #s(literal -1 binary64))))) t) |
#s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (fma.f64 y (-.f64 #s(literal 1 binary64) z) (*.f64 (log.f64 y) (+.f64 #s(literal -1 binary64) x)))) |
#s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (fma.f64 y (-.f64 #s(literal 1 binary64) z) (*.f64 (log.f64 y) (+.f64 x #s(literal -1 binary64))))) |
(fma.f64 y (-.f64 #s(literal 1 binary64) z) (*.f64 (log.f64 y) (+.f64 #s(literal -1 binary64) x))) |
(fma.f64 y (-.f64 #s(literal 1 binary64) z) (*.f64 (log.f64 y) (+.f64 x #s(literal -1 binary64)))) |
y |
(-.f64 #s(literal 1 binary64) z) |
#s(literal 1 binary64) |
z |
(*.f64 (log.f64 y) (+.f64 #s(literal -1 binary64) x)) |
(*.f64 (log.f64 y) (+.f64 x #s(literal -1 binary64))) |
(log.f64 y) |
(+.f64 #s(literal -1 binary64) x) |
(+.f64 x #s(literal -1 binary64)) |
#s(literal -1 binary64) |
x |
t |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) t) |
t |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* y (* (+ -1 z) (+ (* y -1/2) -1))) (* (log y) (+ -1 x))) (*.f64 (*.f64 y y) (-.f64 (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (+.f64 #s(literal -1 binary64) z) y))))) t) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* y (* (+ -1 z) (+ (* y -1/2) -1))) (* (log y) (+ -1 x))) (*.f64 y (*.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) (+.f64 z #s(literal -1 binary64)))))) t) |
#s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* y (* (+ -1 z) (+ (* y -1/2) -1))) (* (log y) (+ -1 x))) (*.f64 (*.f64 y y) (-.f64 (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (+.f64 #s(literal -1 binary64) z) y))))) |
#s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* y (* (+ -1 z) (+ (* y -1/2) -1))) (* (log y) (+ -1 x))) (*.f64 y (*.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) (+.f64 z #s(literal -1 binary64)))))) |
#s(approx (+ (* y (* (+ -1 z) (+ (* y -1/2) -1))) (* (log y) (+ -1 x))) (*.f64 (*.f64 y y) (-.f64 (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (+.f64 #s(literal -1 binary64) z) y)))) |
#s(approx (+ (* y (* (+ -1 z) (+ (* y -1/2) -1))) (* (log y) (+ -1 x))) (*.f64 y (*.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) (+.f64 z #s(literal -1 binary64))))) |
(*.f64 (*.f64 y y) (-.f64 (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (+.f64 #s(literal -1 binary64) z) y))) |
(*.f64 y (*.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) (+.f64 z #s(literal -1 binary64)))) |
(*.f64 y y) |
y |
(-.f64 (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (+.f64 #s(literal -1 binary64) z) y)) |
(*.f64 (+.f64 z #s(literal -1 binary64)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) y))) |
(fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64)) |
z |
#s(literal -1/2 binary64) |
#s(literal 1/2 binary64) |
(/.f64 (+.f64 #s(literal -1 binary64) z) y) |
(/.f64 (+.f64 z #s(literal -1 binary64)) y) |
(+.f64 #s(literal -1 binary64) z) |
(+.f64 z #s(literal -1 binary64)) |
#s(literal -1 binary64) |
t |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (/.f64 (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))) (*.f64 t (*.f64 t t))) (+.f64 #s(literal 0 binary64) (fma.f64 t t (*.f64 #s(literal 0 binary64) t))))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) t) |
(/.f64 (/.f64 (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))) (*.f64 t (*.f64 t t))) (+.f64 #s(literal 0 binary64) (fma.f64 t t (*.f64 #s(literal 0 binary64) t)))) |
t |
(/.f64 (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))) (*.f64 t (*.f64 t t))) |
(*.f64 t (*.f64 t t)) |
(*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))) |
(*.f64 t (*.f64 t (*.f64 (*.f64 t t) (*.f64 t t)))) |
(*.f64 t t) |
t |
(*.f64 t (*.f64 t (*.f64 t t))) |
(*.f64 (*.f64 t t) (*.f64 t t)) |
(*.f64 t (*.f64 t t)) |
(+.f64 #s(literal 0 binary64) (fma.f64 t t (*.f64 #s(literal 0 binary64) t))) |
(*.f64 t t) |
#s(literal 0 binary64) |
(fma.f64 t t (*.f64 #s(literal 0 binary64) t)) |
(*.f64 t t) |
(*.f64 #s(literal 0 binary64) t) |
#s(literal 0 binary64) |
(-.f64 (+.f64 #s(approx (* (- x 1) (log y)) (neg.f64 (log.f64 y))) (*.f64 (-.f64 z #s(literal 1 binary64)) #s(approx (log (- 1 y)) (*.f64 y (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))))) t) |
(-.f64 (fma.f64 (+.f64 z #s(literal -1 binary64)) #s(approx (log (- 1 y)) (*.f64 y (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) #s(approx (* (- x 1) (log y)) (neg.f64 (log.f64 y)))) t) |
(+.f64 #s(approx (* (- x 1) (log y)) (neg.f64 (log.f64 y))) (*.f64 (-.f64 z #s(literal 1 binary64)) #s(approx (log (- 1 y)) (*.f64 y (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))))) |
(fma.f64 (+.f64 z #s(literal -1 binary64)) #s(approx (log (- 1 y)) (*.f64 y (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) #s(approx (* (- x 1) (log y)) (neg.f64 (log.f64 y)))) |
#s(approx (* (- x 1) (log y)) (neg.f64 (log.f64 y))) |
(neg.f64 (log.f64 y)) |
(log.f64 y) |
y |
(*.f64 (-.f64 z #s(literal 1 binary64)) #s(approx (log (- 1 y)) (*.f64 y (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))))) |
(*.f64 (+.f64 z #s(literal -1 binary64)) #s(approx (log (- 1 y)) (*.f64 y (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))))) |
(-.f64 z #s(literal 1 binary64)) |
(+.f64 z #s(literal -1 binary64)) |
z |
#s(literal 1 binary64) |
#s(approx (log (- 1 y)) (*.f64 y (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) |
(*.f64 y (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))) |
(fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) |
(fma.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) |
(fma.f64 y #s(literal -1/4 binary64) #s(literal -1/3 binary64)) |
#s(literal -1/4 binary64) |
#s(literal -1/3 binary64) |
#s(literal -1/2 binary64) |
#s(literal -1 binary64) |
t |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (*.f64 (-.f64 z #s(literal 1 binary64)) #s(approx (log (- 1 y)) (*.f64 y (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))))) |
| ✓ | accuracy | 100.0% | (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/3 binary64)) |
| ✓ | accuracy | 99.6% | #s(approx (log (- 1 y)) (*.f64 y (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) |
| ✓ | accuracy | 47.4% | #s(approx (* (- x 1) (log y)) (neg.f64 (log.f64 y))) |
| ✓ | accuracy | 99.8% | (*.f64 t (*.f64 t t)) |
| ✓ | accuracy | 37.4% | (/.f64 (/.f64 (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))) (*.f64 t (*.f64 t t))) (+.f64 #s(literal 0 binary64) (fma.f64 t t (*.f64 #s(literal 0 binary64) t)))) |
| ✓ | accuracy | 21.9% | (/.f64 (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))) (*.f64 t (*.f64 t t))) |
| ✓ | accuracy | 2.3% | #s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (/.f64 (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))) (*.f64 t (*.f64 t t))) (+.f64 #s(literal 0 binary64) (fma.f64 t t (*.f64 #s(literal 0 binary64) t))))) |
| ✓ | accuracy | 100.0% | (/.f64 (+.f64 #s(literal -1 binary64) z) y) |
| ✓ | accuracy | 99.6% | #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* y (* (+ -1 z) (+ (* y -1/2) -1))) (* (log y) (+ -1 x))) (*.f64 (*.f64 y y) (-.f64 (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (+.f64 #s(literal -1 binary64) z) y))))) |
| ✓ | accuracy | 48.2% | (*.f64 (*.f64 y y) (-.f64 (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (+.f64 #s(literal -1 binary64) z) y))) |
| ✓ | accuracy | 16.1% | #s(approx (+ (* y (* (+ -1 z) (+ (* y -1/2) -1))) (* (log y) (+ -1 x))) (*.f64 (*.f64 y y) (-.f64 (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (+.f64 #s(literal -1 binary64) z) y)))) |
| ✓ | accuracy | 2.3% | #s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) t) |
| ✓ | accuracy | 100.0% | (log.f64 y) |
| ✓ | accuracy | 100.0% | (-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (fma.f64 y (-.f64 #s(literal 1 binary64) z) (*.f64 (log.f64 y) (+.f64 #s(literal -1 binary64) x)))) t) |
| ✓ | accuracy | 99.7% | (*.f64 (log.f64 y) (+.f64 #s(literal -1 binary64) x)) |
| ✓ | accuracy | 99.5% | #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (fma.f64 y (-.f64 #s(literal 1 binary64) z) (*.f64 (log.f64 y) (+.f64 #s(literal -1 binary64) x)))) |
| 222.0ms | 183× | 1 | valid |
| 73.0ms | 65× | 2 | valid |
| 3.0ms | 8× | 0 | valid |
Compiled 398 to 56 computations (85.9% saved)
ival-mult: 61.0ms (31.1% of total)ival-log: 41.0ms (20.9% of total)adjust: 36.0ms (18.3% of total)ival-add: 24.0ms (12.2% of total)ival-sub: 14.0ms (7.1% of total)ival-div: 9.0ms (4.6% of total)const: 8.0ms (4.1% of total)ival-neg: 2.0ms (1% of total)exact: 1.0ms (0.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (fma.f64 y (-.f64 #s(literal 1 binary64) z) (*.f64 (log.f64 y) (+.f64 #s(literal -1 binary64) x)))) t)> |
#<alt #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (fma.f64 y (-.f64 #s(literal 1 binary64) z) (*.f64 (log.f64 y) (+.f64 #s(literal -1 binary64) x))))> |
#<alt (fma.f64 y (-.f64 #s(literal 1 binary64) z) (*.f64 (log.f64 y) (+.f64 #s(literal -1 binary64) x)))> |
#<alt (-.f64 #s(literal 1 binary64) z)> |
#<alt #s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) t)> |
#<alt (*.f64 (*.f64 y y) (-.f64 (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (+.f64 #s(literal -1 binary64) z) y)))> |
#<alt (-.f64 (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (+.f64 #s(literal -1 binary64) z) y))> |
#<alt (-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* y (* (+ -1 z) (+ (* y -1/2) -1))) (* (log y) (+ -1 x))) (*.f64 (*.f64 y y) (-.f64 (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (+.f64 #s(literal -1 binary64) z) y))))) t)> |
#<alt #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* y (* (+ -1 z) (+ (* y -1/2) -1))) (* (log y) (+ -1 x))) (*.f64 (*.f64 y y) (-.f64 (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (+.f64 #s(literal -1 binary64) z) y)))))> |
#<alt (/.f64 (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))) (*.f64 t (*.f64 t t)))> |
#<alt (/.f64 (/.f64 (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))) (*.f64 t (*.f64 t t))) (+.f64 #s(literal 0 binary64) (fma.f64 t t (*.f64 #s(literal 0 binary64) t))))> |
#<alt (*.f64 #s(literal 0 binary64) t)> |
#<alt (+.f64 #s(literal 0 binary64) (fma.f64 t t (*.f64 #s(literal 0 binary64) t)))> |
#<alt (+.f64 #s(approx (* (- x 1) (log y)) (neg.f64 (log.f64 y))) (*.f64 (-.f64 z #s(literal 1 binary64)) #s(approx (log (- 1 y)) (*.f64 y (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))))))> |
#<alt (-.f64 (+.f64 #s(approx (* (- x 1) (log y)) (neg.f64 (log.f64 y))) (*.f64 (-.f64 z #s(literal 1 binary64)) #s(approx (log (- 1 y)) (*.f64 y (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))))) t)> |
#<alt #s(approx (* (- x 1) (log y)) (neg.f64 (log.f64 y)))> |
#<alt (neg.f64 (log.f64 y))> |
#<alt (*.f64 (log.f64 y) (+.f64 #s(literal -1 binary64) x))> |
#<alt (log.f64 y)> |
#<alt #s(approx (+ (* y (* (+ -1 z) (+ (* y -1/2) -1))) (* (log y) (+ -1 x))) (*.f64 (*.f64 y y) (-.f64 (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (+.f64 #s(literal -1 binary64) z) y))))> |
#<alt (/.f64 (+.f64 #s(literal -1 binary64) z) y)> |
#<alt #s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (/.f64 (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))) (*.f64 t (*.f64 t t))) (+.f64 #s(literal 0 binary64) (fma.f64 t t (*.f64 #s(literal 0 binary64) t)))))> |
#<alt (*.f64 t (*.f64 t t))> |
#<alt #s(approx (log (- 1 y)) (*.f64 y (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))))> |
#<alt (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/3 binary64))> |
#<alt (*.f64 (-.f64 z #s(literal 1 binary64)) #s(approx (log (- 1 y)) (*.f64 y (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))))> |
| Outputs |
|---|
#<alt (- (+ (* -1 (log y)) (* (log (- 1 y)) (- z 1))) t)> |
#<alt (- (+ (* -1 (log y)) (+ (* x (log y)) (* (log (- 1 y)) (- z 1)))) t)> |
#<alt (- (+ (* -1 (log y)) (+ (* x (log y)) (* (log (- 1 y)) (- z 1)))) t)> |
#<alt (- (+ (* -1 (log y)) (+ (* x (log y)) (* (log (- 1 y)) (- z 1)))) t)> |
#<alt (* x (log y))> |
#<alt (* x (- (+ (log y) (+ (* -1 (/ (log y) x)) (/ (* (log (- 1 y)) (- z 1)) x))) (/ t x)))> |
#<alt (* x (- (+ (log y) (+ (* -1 (/ (log y) x)) (/ (* (log (- 1 y)) (- z 1)) x))) (/ t x)))> |
#<alt (* x (- (+ (log y) (+ (* -1 (/ (log y) x)) (/ (* (log (- 1 y)) (- z 1)) x))) (/ t x)))> |
#<alt (* x (log y))> |
#<alt (* -1 (* x (+ (* -1 (log y)) (* -1 (/ (- (+ (* -1 (log y)) (* (log (- 1 y)) (- z 1))) t) x)))))> |
#<alt (* -1 (* x (+ (* -1 (log y)) (* -1 (/ (- (+ (* -1 (log y)) (* (log (- 1 y)) (- z 1))) t) x)))))> |
#<alt (* -1 (* x (+ (* -1 (log y)) (* -1 (/ (- (+ (* -1 (log y)) (* (log (- 1 y)) (- z 1))) t) x)))))> |
#<alt (- (* (log y) (- x 1)) t)> |
#<alt (- (+ (* -1 (* y (- z 1))) (* (log y) (- x 1))) t)> |
#<alt (- (+ (* y (+ (* -1 (- z 1)) (* -1/2 (* y (- z 1))))) (* (log y) (- x 1))) t)> |
#<alt (- (+ (* y (+ (* -1 (- z 1)) (* y (+ (* -1/2 (- z 1)) (* -1/3 (* y (- z 1))))))) (* (log y) (- x 1))) t)> |
#<alt (- (+ (* -1 (* (log (/ 1 y)) (- x 1))) (* (+ (log -1) (* -1 (log (/ 1 y)))) (- z 1))) t)> |
#<alt (- (+ (* -1 (* (log (/ 1 y)) (- x 1))) (+ (* -1 (/ (- z 1) y)) (* (+ (log -1) (* -1 (log (/ 1 y)))) (- z 1)))) t)> |
#<alt (- (+ (* -1 (* (log (/ 1 y)) (- x 1))) (+ (* -1 (/ (- z 1) y)) (+ (* -1/2 (/ (- z 1) (pow y 2))) (* (+ (log -1) (* -1 (log (/ 1 y)))) (- z 1))))) t)> |
#<alt (- (+ (* -1 (* (log (/ 1 y)) (- x 1))) (+ (* -1 (/ (- z 1) y)) (+ (* -1/2 (/ (- z 1) (pow y 2))) (+ (* -1/3 (/ (- z 1) (pow y 3))) (* (+ (log -1) (* -1 (log (/ 1 y)))) (- z 1)))))) t)> |
#<alt (- (+ (* -1 (* (log (/ -1 y)) (- z 1))) (* (+ (log -1) (* -1 (log (/ -1 y)))) (- x 1))) t)> |
#<alt (- (+ (* -1 (* (log (/ -1 y)) (- z 1))) (+ (* -1 (/ (- z 1) y)) (* (+ (log -1) (* -1 (log (/ -1 y)))) (- x 1)))) t)> |
#<alt (- (+ (* -1 (* (log (/ -1 y)) (- z 1))) (+ (* -1 (/ (- (+ z (* 1/2 (/ (- z 1) y))) 1) y)) (* (+ (log -1) (* -1 (log (/ -1 y)))) (- x 1)))) t)> |
#<alt (- (+ (* -1 (* (log (/ -1 y)) (- z 1))) (+ (* -1 (/ (- (+ z (* -1 (/ (+ (* -1/2 (- z 1)) (* -1/3 (/ (- z 1) y))) y))) 1) y)) (* (+ (log -1) (* -1 (log (/ -1 y)))) (- x 1)))) t)> |
#<alt (- (+ (* -1 (log (- 1 y))) (* (log y) (- x 1))) t)> |
#<alt (- (+ (* -1 (log (- 1 y))) (+ (* z (log (- 1 y))) (* (log y) (- x 1)))) t)> |
#<alt (- (+ (* -1 (log (- 1 y))) (+ (* z (log (- 1 y))) (* (log y) (- x 1)))) t)> |
#<alt (- (+ (* -1 (log (- 1 y))) (+ (* z (log (- 1 y))) (* (log y) (- x 1)))) t)> |
#<alt (* z (log (- 1 y)))> |
#<alt (* z (- (+ (log (- 1 y)) (+ (* -1 (/ (log (- 1 y)) z)) (/ (* (log y) (- x 1)) z))) (/ t z)))> |
#<alt (* z (- (+ (log (- 1 y)) (+ (* -1 (/ (log (- 1 y)) z)) (/ (* (log y) (- x 1)) z))) (/ t z)))> |
#<alt (* z (- (+ (log (- 1 y)) (+ (* -1 (/ (log (- 1 y)) z)) (/ (* (log y) (- x 1)) z))) (/ t z)))> |
#<alt (* z (log (- 1 y)))> |
#<alt (* -1 (* z (+ (* -1 (log (- 1 y))) (* -1 (/ (- (+ (* -1 (log (- 1 y))) (* (log y) (- x 1))) t) z)))))> |
#<alt (* -1 (* z (+ (* -1 (log (- 1 y))) (* -1 (/ (- (+ (* -1 (log (- 1 y))) (* (log y) (- x 1))) t) z)))))> |
#<alt (* -1 (* z (+ (* -1 (log (- 1 y))) (* -1 (/ (- (+ (* -1 (log (- 1 y))) (* (log y) (- x 1))) t) z)))))> |
#<alt (+ (* (log y) (- x 1)) (* (log (- 1 y)) (- z 1)))> |
#<alt (+ (* -1 t) (+ (* (log y) (- x 1)) (* (log (- 1 y)) (- z 1))))> |
#<alt (+ (* -1 t) (+ (* (log y) (- x 1)) (* (log (- 1 y)) (- z 1))))> |
#<alt (+ (* -1 t) (+ (* (log y) (- x 1)) (* (log (- 1 y)) (- z 1))))> |
#<alt (* -1 t)> |
#<alt (* t (- (+ (/ (* (log y) (- x 1)) t) (/ (* (log (- 1 y)) (- z 1)) t)) 1))> |
#<alt (* t (- (+ (/ (* (log y) (- x 1)) t) (/ (* (log (- 1 y)) (- z 1)) t)) 1))> |
#<alt (* t (- (+ (/ (* (log y) (- x 1)) t) (/ (* (log (- 1 y)) (- z 1)) t)) 1))> |
#<alt (* -1 t)> |
#<alt (* -1 (* t (+ 1 (* -1 (/ (+ (* (log y) (- x 1)) (* (log (- 1 y)) (- z 1))) t)))))> |
#<alt (* -1 (* t (+ 1 (* -1 (/ (+ (* (log y) (- x 1)) (* (log (- 1 y)) (- z 1))) t)))))> |
#<alt (* -1 (* t (+ 1 (* -1 (/ (+ (* (log y) (- x 1)) (* (log (- 1 y)) (- z 1))) t)))))> |
#<alt (+ (* -1 (log y)) (* (log (- 1 y)) (- z 1)))> |
#<alt (+ (* -1 (log y)) (+ (* x (log y)) (* (log (- 1 y)) (- z 1))))> |
#<alt (+ (* -1 (log y)) (+ (* x (log y)) (* (log (- 1 y)) (- z 1))))> |
#<alt (+ (* -1 (log y)) (+ (* x (log y)) (* (log (- 1 y)) (- z 1))))> |
#<alt (* x (log y))> |
#<alt (* x (+ (log y) (+ (* -1 (/ (log y) x)) (/ (* (log (- 1 y)) (- z 1)) x))))> |
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#<alt (/ z y)> |
#<alt (* -1 (* z (- (/ 1 (* y z)) (/ 1 y))))> |
#<alt (* -1 (* z (- (/ 1 (* y z)) (/ 1 y))))> |
#<alt (* -1 (* z (- (/ 1 (* y z)) (/ 1 y))))> |
#<alt (/ (- z 1) y)> |
#<alt (/ (- z 1) y)> |
#<alt (/ (- z 1) y)> |
#<alt (/ (- z 1) y)> |
#<alt (/ (- z 1) y)> |
#<alt (/ (- z 1) y)> |
#<alt (/ (- z 1) y)> |
#<alt (/ (- z 1) y)> |
#<alt (/ (- z 1) y)> |
#<alt (/ (- z 1) y)> |
#<alt (/ (- z 1) y)> |
#<alt (/ (- z 1) y)> |
#<alt (- (+ (* -1 (log y)) (* (log (- 1 y)) (- z 1))) t)> |
#<alt (- (+ (* -1 (log y)) (+ (* x (log y)) (* (log (- 1 y)) (- z 1)))) t)> |
#<alt (- (+ (* -1 (log y)) (+ (* x (log y)) (* (log (- 1 y)) (- z 1)))) t)> |
#<alt (- (+ (* -1 (log y)) (+ (* x (log y)) (* (log (- 1 y)) (- z 1)))) t)> |
#<alt (* x (log y))> |
#<alt (* x (- (+ (log y) (+ (* -1 (/ (log y) x)) (/ (* (log (- 1 y)) (- z 1)) x))) (/ t x)))> |
#<alt (* x (- (+ (log y) (+ (* -1 (/ (log y) x)) (/ (* (log (- 1 y)) (- z 1)) x))) (/ t x)))> |
#<alt (* x (- (+ (log y) (+ (* -1 (/ (log y) x)) (/ (* (log (- 1 y)) (- z 1)) x))) (/ t x)))> |
#<alt (* x (log y))> |
#<alt (* -1 (* x (+ (* -1 (log y)) (* -1 (/ (- (+ (* -1 (log y)) (* (log (- 1 y)) (- z 1))) t) x)))))> |
#<alt (* -1 (* x (+ (* -1 (log y)) (* -1 (/ (- (+ (* -1 (log y)) (* (log (- 1 y)) (- z 1))) t) x)))))> |
#<alt (* -1 (* x (+ (* -1 (log y)) (* -1 (/ (- (+ (* -1 (log y)) (* (log (- 1 y)) (- z 1))) t) x)))))> |
#<alt (- (* (log y) (- x 1)) t)> |
#<alt (- (+ (* -1 (* y (- z 1))) (* (log y) (- x 1))) t)> |
#<alt (- (+ (* y (+ (* -1 (- z 1)) (* -1/2 (* y (- z 1))))) (* (log y) (- x 1))) t)> |
#<alt (- (+ (* y (+ (* -1 (- z 1)) (* y (+ (* -1/2 (- z 1)) (* -1/3 (* y (- z 1))))))) (* (log y) (- x 1))) t)> |
#<alt (- (+ (* -1 (* (log (/ 1 y)) (- x 1))) (* (+ (log -1) (* -1 (log (/ 1 y)))) (- z 1))) t)> |
#<alt (- (+ (* -1 (* (log (/ 1 y)) (- x 1))) (+ (* -1 (/ (- z 1) y)) (* (+ (log -1) (* -1 (log (/ 1 y)))) (- z 1)))) t)> |
#<alt (- (+ (* -1 (* (log (/ 1 y)) (- x 1))) (+ (* -1 (/ (- z 1) y)) (+ (* -1/2 (/ (- z 1) (pow y 2))) (* (+ (log -1) (* -1 (log (/ 1 y)))) (- z 1))))) t)> |
#<alt (- (+ (* -1 (* (log (/ 1 y)) (- x 1))) (+ (* -1 (/ (- z 1) y)) (+ (* -1/2 (/ (- z 1) (pow y 2))) (+ (* -1/3 (/ (- z 1) (pow y 3))) (* (+ (log -1) (* -1 (log (/ 1 y)))) (- z 1)))))) t)> |
#<alt (- (+ (* -1 (* (log (/ -1 y)) (- z 1))) (* (+ (log -1) (* -1 (log (/ -1 y)))) (- x 1))) t)> |
#<alt (- (+ (* -1 (* (log (/ -1 y)) (- z 1))) (+ (* -1 (/ (- z 1) y)) (* (+ (log -1) (* -1 (log (/ -1 y)))) (- x 1)))) t)> |
#<alt (- (+ (* -1 (* (log (/ -1 y)) (- z 1))) (+ (* -1 (/ (- (+ z (* 1/2 (/ (- z 1) y))) 1) y)) (* (+ (log -1) (* -1 (log (/ -1 y)))) (- x 1)))) t)> |
#<alt (- (+ (* -1 (* (log (/ -1 y)) (- z 1))) (+ (* -1 (/ (- (+ z (* -1 (/ (+ (* -1/2 (- z 1)) (* -1/3 (/ (- z 1) y))) y))) 1) y)) (* (+ (log -1) (* -1 (log (/ -1 y)))) (- x 1)))) t)> |
#<alt (- (+ (* -1 (log (- 1 y))) (* (log y) (- x 1))) t)> |
#<alt (- (+ (* -1 (log (- 1 y))) (+ (* z (log (- 1 y))) (* (log y) (- x 1)))) t)> |
#<alt (- (+ (* -1 (log (- 1 y))) (+ (* z (log (- 1 y))) (* (log y) (- x 1)))) t)> |
#<alt (- (+ (* -1 (log (- 1 y))) (+ (* z (log (- 1 y))) (* (log y) (- x 1)))) t)> |
#<alt (* z (log (- 1 y)))> |
#<alt (* z (- (+ (log (- 1 y)) (+ (* -1 (/ (log (- 1 y)) z)) (/ (* (log y) (- x 1)) z))) (/ t z)))> |
#<alt (* z (- (+ (log (- 1 y)) (+ (* -1 (/ (log (- 1 y)) z)) (/ (* (log y) (- x 1)) z))) (/ t z)))> |
#<alt (* z (- (+ (log (- 1 y)) (+ (* -1 (/ (log (- 1 y)) z)) (/ (* (log y) (- x 1)) z))) (/ t z)))> |
#<alt (* z (log (- 1 y)))> |
#<alt (* -1 (* z (+ (* -1 (log (- 1 y))) (* -1 (/ (- (+ (* -1 (log (- 1 y))) (* (log y) (- x 1))) t) z)))))> |
#<alt (* -1 (* z (+ (* -1 (log (- 1 y))) (* -1 (/ (- (+ (* -1 (log (- 1 y))) (* (log y) (- x 1))) t) z)))))> |
#<alt (* -1 (* z (+ (* -1 (log (- 1 y))) (* -1 (/ (- (+ (* -1 (log (- 1 y))) (* (log y) (- x 1))) t) z)))))> |
#<alt (+ (* (log y) (- x 1)) (* (log (- 1 y)) (- z 1)))> |
#<alt (+ (* -1 t) (+ (* (log y) (- x 1)) (* (log (- 1 y)) (- z 1))))> |
#<alt (+ (* -1 t) (+ (* (log y) (- x 1)) (* (log (- 1 y)) (- z 1))))> |
#<alt (+ (* -1 t) (+ (* (log y) (- x 1)) (* (log (- 1 y)) (- z 1))))> |
#<alt (* -1 t)> |
#<alt (* t (- (+ (/ (* (log y) (- x 1)) t) (/ (* (log (- 1 y)) (- z 1)) t)) 1))> |
#<alt (* t (- (+ (/ (* (log y) (- x 1)) t) (/ (* (log (- 1 y)) (- z 1)) t)) 1))> |
#<alt (* t (- (+ (/ (* (log y) (- x 1)) t) (/ (* (log (- 1 y)) (- z 1)) t)) 1))> |
#<alt (* -1 t)> |
#<alt (* -1 (* t (+ 1 (* -1 (/ (+ (* (log y) (- x 1)) (* (log (- 1 y)) (- z 1))) t)))))> |
#<alt (* -1 (* t (+ 1 (* -1 (/ (+ (* (log y) (- x 1)) (* (log (- 1 y)) (- z 1))) t)))))> |
#<alt (* -1 (* t (+ 1 (* -1 (/ (+ (* (log y) (- x 1)) (* (log (- 1 y)) (- z 1))) t)))))> |
#<alt (pow t 3)> |
#<alt (pow t 3)> |
#<alt (pow t 3)> |
#<alt (pow t 3)> |
#<alt (pow t 3)> |
#<alt (pow t 3)> |
#<alt (pow t 3)> |
#<alt (pow t 3)> |
#<alt (pow t 3)> |
#<alt (pow t 3)> |
#<alt (pow t 3)> |
#<alt (pow t 3)> |
#<alt (* -1 y)> |
#<alt (* y (- (* -1/2 y) 1))> |
#<alt (* y (- (* y (- (* -1/3 y) 1/2)) 1))> |
#<alt (* y (- (* y (- (* y (- (* -1/4 y) 1/3)) 1/2)) 1))> |
#<alt (+ (log -1) (* -1 (log (/ 1 y))))> |
#<alt (- (+ (log -1) (* -1 (log (/ 1 y)))) (/ 1 y))> |
#<alt (+ (log -1) (+ (* -1 (log (/ 1 y))) (* -1 (/ (+ 1 (* 1/2 (/ 1 y))) y))))> |
#<alt (- (+ (log -1) (+ (* -1 (log (/ 1 y))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 y))) (pow y 2))))) (/ 1 y))> |
#<alt (* -1 (log (/ -1 y)))> |
#<alt (- (* -1 (log (/ -1 y))) (/ 1 y))> |
#<alt (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ 1 (* 1/2 (/ 1 y))) y)))> |
#<alt (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow y 2)) (* 1/2 (/ 1 y)))) y)))> |
#<alt -1/3> |
#<alt (- (* -1/4 y) 1/3)> |
#<alt (- (* -1/4 y) 1/3)> |
#<alt (- (* -1/4 y) 1/3)> |
#<alt (* -1/4 y)> |
#<alt (* -1 (* y (+ 1/4 (* 1/3 (/ 1 y)))))> |
#<alt (* -1 (* y (+ 1/4 (* 1/3 (/ 1 y)))))> |
#<alt (* -1 (* y (+ 1/4 (* 1/3 (/ 1 y)))))> |
#<alt (* -1/4 y)> |
#<alt (* -1 (* y (+ 1/4 (* 1/3 (/ 1 y)))))> |
#<alt (* -1 (* y (+ 1/4 (* 1/3 (/ 1 y)))))> |
#<alt (* -1 (* y (+ 1/4 (* 1/3 (/ 1 y)))))> |
#<alt (* -1 (log (- 1 y)))> |
#<alt (+ (* -1 (log (- 1 y))) (* z (log (- 1 y))))> |
#<alt (+ (* -1 (log (- 1 y))) (* z (log (- 1 y))))> |
#<alt (+ (* -1 (log (- 1 y))) (* z (log (- 1 y))))> |
#<alt (* z (log (- 1 y)))> |
#<alt (* z (+ (log (- 1 y)) (* -1 (/ (log (- 1 y)) z))))> |
#<alt (* z (+ (log (- 1 y)) (* -1 (/ (log (- 1 y)) z))))> |
#<alt (* z (+ (log (- 1 y)) (* -1 (/ (log (- 1 y)) z))))> |
#<alt (* z (log (- 1 y)))> |
#<alt (* -1 (* z (+ (* -1 (log (- 1 y))) (/ (log (- 1 y)) z))))> |
#<alt (* -1 (* z (+ (* -1 (log (- 1 y))) (/ (log (- 1 y)) z))))> |
#<alt (* -1 (* z (+ (* -1 (log (- 1 y))) (/ (log (- 1 y)) z))))> |
#<alt (* -1 (* y (- z 1)))> |
#<alt (* y (+ (* -1 (- z 1)) (* -1/2 (* y (- z 1)))))> |
#<alt (* y (+ (* -1 (- z 1)) (* y (+ (* -1/2 (- z 1)) (* -1/3 (* y (- z 1)))))))> |
#<alt (* y (+ (* -1 (- z 1)) (* y (+ (* -1/2 (- z 1)) (* y (+ (* -1/3 (- z 1)) (* -1/4 (* y (- z 1)))))))))> |
#<alt (* (+ (log -1) (* -1 (log (/ 1 y)))) (- z 1))> |
#<alt (+ (* -1 (/ (- z 1) y)) (* (+ (log -1) (* -1 (log (/ 1 y)))) (- z 1)))> |
#<alt (+ (* -1 (/ (- z 1) y)) (+ (* -1/2 (/ (- z 1) (pow y 2))) (* (+ (log -1) (* -1 (log (/ 1 y)))) (- z 1))))> |
#<alt (+ (* -1 (/ (- z 1) y)) (+ (* -1/2 (/ (- z 1) (pow y 2))) (+ (* -1/3 (/ (- z 1) (pow y 3))) (* (+ (log -1) (* -1 (log (/ 1 y)))) (- z 1)))))> |
#<alt (* -1 (* (log (/ -1 y)) (- z 1)))> |
#<alt (+ (* -1 (* (log (/ -1 y)) (- z 1))) (* -1 (/ (- z 1) y)))> |
#<alt (+ (* -1 (* (log (/ -1 y)) (- z 1))) (* -1 (/ (- (+ z (* 1/2 (/ (- z 1) y))) 1) y)))> |
#<alt (+ (* -1 (* (log (/ -1 y)) (- z 1))) (* -1 (/ (- (+ z (* -1 (/ (+ (* -1/2 (- z 1)) (* -1/3 (/ (- z 1) y))) y))) 1) y)))> |
171 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 15.0ms | t | @ | -inf | (+ 0 (+ (* t t) (* 0 t))) |
| 1.0ms | z | @ | 0 | (* (* y y) (- (+ (* z -1/2) 1/2) (/ (+ -1 z) y))) |
| 1.0ms | z | @ | -inf | (* (* y y) (- (+ (* z -1/2) 1/2) (/ (+ -1 z) y))) |
| 1.0ms | z | @ | inf | (* (* y y) (- (+ (* z -1/2) 1/2) (/ (+ -1 z) y))) |
| 0.0ms | y | @ | inf | (* (* y y) (- (+ (* z -1/2) 1/2) (/ (+ -1 z) y))) |
| 1× | egg-herbie |
| 14 966× | lower-fma.f64 |
| 14 966× | lower-fma.f32 |
| 4 654× | lower-+.f64 |
| 4 654× | lower-+.f32 |
| 4 334× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 377 | 10617 |
| 1 | 1230 | 9950 |
| 2 | 4044 | 9277 |
| 0 | 8934 | 8580 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (+ (* -1 (log y)) (* (log (- 1 y)) (- z 1))) t) |
(- (+ (* -1 (log y)) (+ (* x (log y)) (* (log (- 1 y)) (- z 1)))) t) |
(- (+ (* -1 (log y)) (+ (* x (log y)) (* (log (- 1 y)) (- z 1)))) t) |
(- (+ (* -1 (log y)) (+ (* x (log y)) (* (log (- 1 y)) (- z 1)))) t) |
(* x (log y)) |
(* x (- (+ (log y) (+ (* -1 (/ (log y) x)) (/ (* (log (- 1 y)) (- z 1)) x))) (/ t x))) |
(* x (- (+ (log y) (+ (* -1 (/ (log y) x)) (/ (* (log (- 1 y)) (- z 1)) x))) (/ t x))) |
(* x (- (+ (log y) (+ (* -1 (/ (log y) x)) (/ (* (log (- 1 y)) (- z 1)) x))) (/ t x))) |
(* x (log y)) |
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (- (+ (* -1 (log y)) (* (log (- 1 y)) (- z 1))) t) x))))) |
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (- (+ (* -1 (log y)) (* (log (- 1 y)) (- z 1))) t) x))))) |
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (- (+ (* -1 (log y)) (* (log (- 1 y)) (- z 1))) t) x))))) |
(- (* (log y) (- x 1)) t) |
(- (+ (* -1 (* y (- z 1))) (* (log y) (- x 1))) t) |
(- (+ (* y (+ (* -1 (- z 1)) (* -1/2 (* y (- z 1))))) (* (log y) (- x 1))) t) |
(- (+ (* y (+ (* -1 (- z 1)) (* y (+ (* -1/2 (- z 1)) (* -1/3 (* y (- z 1))))))) (* (log y) (- x 1))) t) |
(- (+ (* -1 (* (log (/ 1 y)) (- x 1))) (* (+ (log -1) (* -1 (log (/ 1 y)))) (- z 1))) t) |
(- (+ (* -1 (* (log (/ 1 y)) (- x 1))) (+ (* -1 (/ (- z 1) y)) (* (+ (log -1) (* -1 (log (/ 1 y)))) (- z 1)))) t) |
(- (+ (* -1 (* (log (/ 1 y)) (- x 1))) (+ (* -1 (/ (- z 1) y)) (+ (* -1/2 (/ (- z 1) (pow y 2))) (* (+ (log -1) (* -1 (log (/ 1 y)))) (- z 1))))) t) |
(- (+ (* -1 (* (log (/ 1 y)) (- x 1))) (+ (* -1 (/ (- z 1) y)) (+ (* -1/2 (/ (- z 1) (pow y 2))) (+ (* -1/3 (/ (- z 1) (pow y 3))) (* (+ (log -1) (* -1 (log (/ 1 y)))) (- z 1)))))) t) |
(- (+ (* -1 (* (log (/ -1 y)) (- z 1))) (* (+ (log -1) (* -1 (log (/ -1 y)))) (- x 1))) t) |
(- (+ (* -1 (* (log (/ -1 y)) (- z 1))) (+ (* -1 (/ (- z 1) y)) (* (+ (log -1) (* -1 (log (/ -1 y)))) (- x 1)))) t) |
(- (+ (* -1 (* (log (/ -1 y)) (- z 1))) (+ (* -1 (/ (- (+ z (* 1/2 (/ (- z 1) y))) 1) y)) (* (+ (log -1) (* -1 (log (/ -1 y)))) (- x 1)))) t) |
(- (+ (* -1 (* (log (/ -1 y)) (- z 1))) (+ (* -1 (/ (- (+ z (* -1 (/ (+ (* -1/2 (- z 1)) (* -1/3 (/ (- z 1) y))) y))) 1) y)) (* (+ (log -1) (* -1 (log (/ -1 y)))) (- x 1)))) t) |
(- (+ (* -1 (log (- 1 y))) (* (log y) (- x 1))) t) |
(- (+ (* -1 (log (- 1 y))) (+ (* z (log (- 1 y))) (* (log y) (- x 1)))) t) |
(- (+ (* -1 (log (- 1 y))) (+ (* z (log (- 1 y))) (* (log y) (- x 1)))) t) |
(- (+ (* -1 (log (- 1 y))) (+ (* z (log (- 1 y))) (* (log y) (- x 1)))) t) |
(* z (log (- 1 y))) |
(* z (- (+ (log (- 1 y)) (+ (* -1 (/ (log (- 1 y)) z)) (/ (* (log y) (- x 1)) z))) (/ t z))) |
(* z (- (+ (log (- 1 y)) (+ (* -1 (/ (log (- 1 y)) z)) (/ (* (log y) (- x 1)) z))) (/ t z))) |
(* z (- (+ (log (- 1 y)) (+ (* -1 (/ (log (- 1 y)) z)) (/ (* (log y) (- x 1)) z))) (/ t z))) |
(* z (log (- 1 y))) |
(* -1 (* z (+ (* -1 (log (- 1 y))) (* -1 (/ (- (+ (* -1 (log (- 1 y))) (* (log y) (- x 1))) t) z))))) |
(* -1 (* z (+ (* -1 (log (- 1 y))) (* -1 (/ (- (+ (* -1 (log (- 1 y))) (* (log y) (- x 1))) t) z))))) |
(* -1 (* z (+ (* -1 (log (- 1 y))) (* -1 (/ (- (+ (* -1 (log (- 1 y))) (* (log y) (- x 1))) t) z))))) |
(+ (* (log y) (- x 1)) (* (log (- 1 y)) (- z 1))) |
(+ (* -1 t) (+ (* (log y) (- x 1)) (* (log (- 1 y)) (- z 1)))) |
(+ (* -1 t) (+ (* (log y) (- x 1)) (* (log (- 1 y)) (- z 1)))) |
(+ (* -1 t) (+ (* (log y) (- x 1)) (* (log (- 1 y)) (- z 1)))) |
(* -1 t) |
(* t (- (+ (/ (* (log y) (- x 1)) t) (/ (* (log (- 1 y)) (- z 1)) t)) 1)) |
(* t (- (+ (/ (* (log y) (- x 1)) t) (/ (* (log (- 1 y)) (- z 1)) t)) 1)) |
(* t (- (+ (/ (* (log y) (- x 1)) t) (/ (* (log (- 1 y)) (- z 1)) t)) 1)) |
(* -1 t) |
(* -1 (* t (+ 1 (* -1 (/ (+ (* (log y) (- x 1)) (* (log (- 1 y)) (- z 1))) t))))) |
(* -1 (* t (+ 1 (* -1 (/ (+ (* (log y) (- x 1)) (* (log (- 1 y)) (- z 1))) t))))) |
(* -1 (* t (+ 1 (* -1 (/ (+ (* (log y) (- x 1)) (* (log (- 1 y)) (- z 1))) t))))) |
(+ (* -1 (log y)) (* (log (- 1 y)) (- z 1))) |
(+ (* -1 (log y)) (+ (* x (log y)) (* (log (- 1 y)) (- z 1)))) |
(+ (* -1 (log y)) (+ (* x (log y)) (* (log (- 1 y)) (- z 1)))) |
(+ (* -1 (log y)) (+ (* x (log y)) (* (log (- 1 y)) (- z 1)))) |
(* x (log y)) |
(* x (+ (log y) (+ (* -1 (/ (log y) x)) (/ (* (log (- 1 y)) (- z 1)) x)))) |
(* x (+ (log y) (+ (* -1 (/ (log y) x)) (/ (* (log (- 1 y)) (- z 1)) x)))) |
(* x (+ (log y) (+ (* -1 (/ (log y) x)) (/ (* (log (- 1 y)) (- z 1)) x)))) |
(* x (log y)) |
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (+ (* -1 (log y)) (* (log (- 1 y)) (- z 1))) x))))) |
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (+ (* -1 (log y)) (* (log (- 1 y)) (- z 1))) x))))) |
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (+ (* -1 (log y)) (* (log (- 1 y)) (- z 1))) x))))) |
(* (log y) (- x 1)) |
(+ (* -1 (* y (- z 1))) (* (log y) (- x 1))) |
(+ (* y (+ (* -1 (- z 1)) (* -1/2 (* y (- z 1))))) (* (log y) (- x 1))) |
(+ (* y (+ (* -1 (- z 1)) (* y (+ (* -1/2 (- z 1)) (* -1/3 (* y (- z 1))))))) (* (log y) (- x 1))) |
(+ (* -1 (* (log (/ 1 y)) (- x 1))) (* (+ (log -1) (* -1 (log (/ 1 y)))) (- z 1))) |
(+ (* -1 (* (log (/ 1 y)) (- x 1))) (+ (* -1 (/ (- z 1) y)) (* (+ (log -1) (* -1 (log (/ 1 y)))) (- z 1)))) |
(+ (* -1 (* (log (/ 1 y)) (- x 1))) (+ (* -1 (/ (- z 1) y)) (+ (* -1/2 (/ (- z 1) (pow y 2))) (* (+ (log -1) (* -1 (log (/ 1 y)))) (- z 1))))) |
(+ (* -1 (* (log (/ 1 y)) (- x 1))) (+ (* -1 (/ (- z 1) y)) (+ (* -1/2 (/ (- z 1) (pow y 2))) (+ (* -1/3 (/ (- z 1) (pow y 3))) (* (+ (log -1) (* -1 (log (/ 1 y)))) (- z 1)))))) |
(+ (* -1 (* (log (/ -1 y)) (- z 1))) (* (+ (log -1) (* -1 (log (/ -1 y)))) (- x 1))) |
(+ (* -1 (* (log (/ -1 y)) (- z 1))) (+ (* -1 (/ (- z 1) y)) (* (+ (log -1) (* -1 (log (/ -1 y)))) (- x 1)))) |
(+ (* -1 (* (log (/ -1 y)) (- z 1))) (+ (* -1 (/ (- (+ z (* 1/2 (/ (- z 1) y))) 1) y)) (* (+ (log -1) (* -1 (log (/ -1 y)))) (- x 1)))) |
(+ (* -1 (* (log (/ -1 y)) (- z 1))) (+ (* -1 (/ (- (+ z (* -1 (/ (+ (* -1/2 (- z 1)) (* -1/3 (/ (- z 1) y))) y))) 1) y)) (* (+ (log -1) (* -1 (log (/ -1 y)))) (- x 1)))) |
(+ (* -1 (log (- 1 y))) (* (log y) (- x 1))) |
(+ (* -1 (log (- 1 y))) (+ (* z (log (- 1 y))) (* (log y) (- x 1)))) |
(+ (* -1 (log (- 1 y))) (+ (* z (log (- 1 y))) (* (log y) (- x 1)))) |
(+ (* -1 (log (- 1 y))) (+ (* z (log (- 1 y))) (* (log y) (- x 1)))) |
(* z (log (- 1 y))) |
(* z (+ (log (- 1 y)) (+ (* -1 (/ (log (- 1 y)) z)) (/ (* (log y) (- x 1)) z)))) |
(* z (+ (log (- 1 y)) (+ (* -1 (/ (log (- 1 y)) z)) (/ (* (log y) (- x 1)) z)))) |
(* z (+ (log (- 1 y)) (+ (* -1 (/ (log (- 1 y)) z)) (/ (* (log y) (- x 1)) z)))) |
(* z (log (- 1 y))) |
(* -1 (* z (+ (* -1 (log (- 1 y))) (* -1 (/ (+ (* -1 (log (- 1 y))) (* (log y) (- x 1))) z))))) |
(* -1 (* z (+ (* -1 (log (- 1 y))) (* -1 (/ (+ (* -1 (log (- 1 y))) (* (log y) (- x 1))) z))))) |
(* -1 (* z (+ (* -1 (log (- 1 y))) (* -1 (/ (+ (* -1 (log (- 1 y))) (* (log y) (- x 1))) z))))) |
(* (log y) (- x 1)) |
(+ (* y (- 1 z)) (* (log y) (- x 1))) |
(+ (* y (- 1 z)) (* (log y) (- x 1))) |
(+ (* y (- 1 z)) (* (log y) (- x 1))) |
(* y (- 1 z)) |
(* y (- (+ 1 (* -1 (/ (* (log (/ 1 y)) (- x 1)) y))) z)) |
(* y (- (+ 1 (* -1 (/ (* (log (/ 1 y)) (- x 1)) y))) z)) |
(* y (- (+ 1 (* -1 (/ (* (log (/ 1 y)) (- x 1)) y))) z)) |
(* y (- 1 z)) |
(* -1 (* y (+ (* -1 (- 1 z)) (* -1 (/ (* (+ (log -1) (* -1 (log (/ -1 y)))) (- x 1)) y))))) |
(* -1 (* y (+ (* -1 (- 1 z)) (* -1 (/ (* (+ (log -1) (* -1 (log (/ -1 y)))) (- x 1)) y))))) |
(* -1 (* y (+ (* -1 (- 1 z)) (* -1 (/ (* (+ (log -1) (* -1 (log (/ -1 y)))) (- x 1)) y))))) |
(+ y (* (log y) (- x 1))) |
(+ y (+ (* -1 (* y z)) (* (log y) (- x 1)))) |
(+ y (+ (* -1 (* y z)) (* (log y) (- x 1)))) |
(+ y (+ (* -1 (* y z)) (* (log y) (- x 1)))) |
(* -1 (* y z)) |
(* z (+ (* -1 y) (+ (/ y z) (/ (* (log y) (- x 1)) z)))) |
(* z (+ (* -1 y) (+ (/ y z) (/ (* (log y) (- x 1)) z)))) |
(* z (+ (* -1 y) (+ (/ y z) (/ (* (log y) (- x 1)) z)))) |
(* -1 (* y z)) |
(* -1 (* z (+ y (* -1 (/ (+ y (* (log y) (- x 1))) z))))) |
(* -1 (* z (+ y (* -1 (/ (+ y (* (log y) (- x 1))) z))))) |
(* -1 (* z (+ y (* -1 (/ (+ y (* (log y) (- x 1))) z))))) |
(+ (* -1 (log y)) (* y (- 1 z))) |
(+ (* -1 (log y)) (+ (* x (log y)) (* y (- 1 z)))) |
(+ (* -1 (log y)) (+ (* x (log y)) (* y (- 1 z)))) |
(+ (* -1 (log y)) (+ (* x (log y)) (* y (- 1 z)))) |
(* x (log y)) |
(* x (+ (log y) (+ (* -1 (/ (log y) x)) (/ (* y (- 1 z)) x)))) |
(* x (+ (log y) (+ (* -1 (/ (log y) x)) (/ (* y (- 1 z)) x)))) |
(* x (+ (log y) (+ (* -1 (/ (log y) x)) (/ (* y (- 1 z)) x)))) |
(* x (log y)) |
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (+ (* -1 (log y)) (* y (- 1 z))) x))))) |
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (+ (* -1 (log y)) (* y (- 1 z))) x))))) |
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (+ (* -1 (log y)) (* y (- 1 z))) x))))) |
1 |
(+ 1 (* -1 z)) |
(+ 1 (* -1 z)) |
(+ 1 (* -1 z)) |
(* -1 z) |
(* z (- (/ 1 z) 1)) |
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(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (- (+ (* -1 (log y)) (* (log (- 1 y)) (- z 1))) t) x))))) |
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (- (+ (* -1 (log y)) (* (log (- 1 y)) (- z 1))) t) x))))) |
(- (* (log y) (- x 1)) t) |
(- (+ (* -1 (* y (- z 1))) (* (log y) (- x 1))) t) |
(- (+ (* y (+ (* -1 (- z 1)) (* -1/2 (* y (- z 1))))) (* (log y) (- x 1))) t) |
(- (+ (* y (+ (* -1 (- z 1)) (* y (+ (* -1/2 (- z 1)) (* -1/3 (* y (- z 1))))))) (* (log y) (- x 1))) t) |
(- (+ (* -1 (* (log (/ 1 y)) (- x 1))) (* (+ (log -1) (* -1 (log (/ 1 y)))) (- z 1))) t) |
(- (+ (* -1 (* (log (/ 1 y)) (- x 1))) (+ (* -1 (/ (- z 1) y)) (* (+ (log -1) (* -1 (log (/ 1 y)))) (- z 1)))) t) |
(- (+ (* -1 (* (log (/ 1 y)) (- x 1))) (+ (* -1 (/ (- z 1) y)) (+ (* -1/2 (/ (- z 1) (pow y 2))) (* (+ (log -1) (* -1 (log (/ 1 y)))) (- z 1))))) t) |
(- (+ (* -1 (* (log (/ 1 y)) (- x 1))) (+ (* -1 (/ (- z 1) y)) (+ (* -1/2 (/ (- z 1) (pow y 2))) (+ (* -1/3 (/ (- z 1) (pow y 3))) (* (+ (log -1) (* -1 (log (/ 1 y)))) (- z 1)))))) t) |
(- (+ (* -1 (* (log (/ -1 y)) (- z 1))) (* (+ (log -1) (* -1 (log (/ -1 y)))) (- x 1))) t) |
(- (+ (* -1 (* (log (/ -1 y)) (- z 1))) (+ (* -1 (/ (- z 1) y)) (* (+ (log -1) (* -1 (log (/ -1 y)))) (- x 1)))) t) |
(- (+ (* -1 (* (log (/ -1 y)) (- z 1))) (+ (* -1 (/ (- (+ z (* 1/2 (/ (- z 1) y))) 1) y)) (* (+ (log -1) (* -1 (log (/ -1 y)))) (- x 1)))) t) |
(- (+ (* -1 (* (log (/ -1 y)) (- z 1))) (+ (* -1 (/ (- (+ z (* -1 (/ (+ (* -1/2 (- z 1)) (* -1/3 (/ (- z 1) y))) y))) 1) y)) (* (+ (log -1) (* -1 (log (/ -1 y)))) (- x 1)))) t) |
(- (+ (* -1 (log (- 1 y))) (* (log y) (- x 1))) t) |
(- (+ (* -1 (log (- 1 y))) (+ (* z (log (- 1 y))) (* (log y) (- x 1)))) t) |
(- (+ (* -1 (log (- 1 y))) (+ (* z (log (- 1 y))) (* (log y) (- x 1)))) t) |
(- (+ (* -1 (log (- 1 y))) (+ (* z (log (- 1 y))) (* (log y) (- x 1)))) t) |
(* z (log (- 1 y))) |
(* z (- (+ (log (- 1 y)) (+ (* -1 (/ (log (- 1 y)) z)) (/ (* (log y) (- x 1)) z))) (/ t z))) |
(* z (- (+ (log (- 1 y)) (+ (* -1 (/ (log (- 1 y)) z)) (/ (* (log y) (- x 1)) z))) (/ t z))) |
(* z (- (+ (log (- 1 y)) (+ (* -1 (/ (log (- 1 y)) z)) (/ (* (log y) (- x 1)) z))) (/ t z))) |
(* z (log (- 1 y))) |
(* -1 (* z (+ (* -1 (log (- 1 y))) (* -1 (/ (- (+ (* -1 (log (- 1 y))) (* (log y) (- x 1))) t) z))))) |
(* -1 (* z (+ (* -1 (log (- 1 y))) (* -1 (/ (- (+ (* -1 (log (- 1 y))) (* (log y) (- x 1))) t) z))))) |
(* -1 (* z (+ (* -1 (log (- 1 y))) (* -1 (/ (- (+ (* -1 (log (- 1 y))) (* (log y) (- x 1))) t) z))))) |
(+ (* (log y) (- x 1)) (* (log (- 1 y)) (- z 1))) |
(+ (* -1 t) (+ (* (log y) (- x 1)) (* (log (- 1 y)) (- z 1)))) |
(+ (* -1 t) (+ (* (log y) (- x 1)) (* (log (- 1 y)) (- z 1)))) |
(+ (* -1 t) (+ (* (log y) (- x 1)) (* (log (- 1 y)) (- z 1)))) |
(* -1 t) |
(* t (- (+ (/ (* (log y) (- x 1)) t) (/ (* (log (- 1 y)) (- z 1)) t)) 1)) |
(* t (- (+ (/ (* (log y) (- x 1)) t) (/ (* (log (- 1 y)) (- z 1)) t)) 1)) |
(* t (- (+ (/ (* (log y) (- x 1)) t) (/ (* (log (- 1 y)) (- z 1)) t)) 1)) |
(* -1 t) |
(* -1 (* t (+ 1 (* -1 (/ (+ (* (log y) (- x 1)) (* (log (- 1 y)) (- z 1))) t))))) |
(* -1 (* t (+ 1 (* -1 (/ (+ (* (log y) (- x 1)) (* (log (- 1 y)) (- z 1))) t))))) |
(* -1 (* t (+ 1 (* -1 (/ (+ (* (log y) (- x 1)) (* (log (- 1 y)) (- z 1))) t))))) |
(* -1 (log y)) |
(+ (* -1 (log y)) (* x (log y))) |
(+ (* -1 (log y)) (* x (log y))) |
(+ (* -1 (log y)) (* x (log y))) |
(* x (log y)) |
(* x (+ (log y) (* -1 (/ (log y) x)))) |
(* x (+ (log y) (* -1 (/ (log y) x)))) |
(* x (+ (log y) (* -1 (/ (log y) x)))) |
(* x (log y)) |
(* -1 (* x (+ (* -1 (log y)) (/ (log y) x)))) |
(* -1 (* x (+ (* -1 (log y)) (/ (log y) x)))) |
(* -1 (* x (+ (* -1 (log y)) (/ (log y) x)))) |
(* (log y) (- x 1)) |
(* (log y) (- x 1)) |
(* (log y) (- x 1)) |
(* (log y) (- x 1)) |
(* -1 (* (log (/ 1 y)) (- x 1))) |
(* -1 (* (log (/ 1 y)) (- x 1))) |
(* -1 (* (log (/ 1 y)) (- x 1))) |
(* -1 (* (log (/ 1 y)) (- x 1))) |
(* (+ (log -1) (* -1 (log (/ -1 y)))) (- x 1)) |
(* (+ (log -1) (* -1 (log (/ -1 y)))) (- x 1)) |
(* (+ (log -1) (* -1 (log (/ -1 y)))) (- x 1)) |
(* (+ (log -1) (* -1 (log (/ -1 y)))) (- x 1)) |
(* -1 (log y)) |
(* -1 (log y)) |
(* -1 (log y)) |
(* -1 (log y)) |
(log (/ 1 y)) |
(log (/ 1 y)) |
(log (/ 1 y)) |
(log (/ 1 y)) |
(* -1 (+ (log -1) (* -1 (log (/ -1 y))))) |
(* -1 (+ (log -1) (* -1 (log (/ -1 y))))) |
(* -1 (+ (log -1) (* -1 (log (/ -1 y))))) |
(* -1 (+ (log -1) (* -1 (log (/ -1 y))))) |
(* (log y) (- x 1)) |
(* (log y) (- x 1)) |
(* (log y) (- x 1)) |
(* (log y) (- x 1)) |
(* -1 (* (log (/ 1 y)) (- x 1))) |
(* -1 (* (log (/ 1 y)) (- x 1))) |
(* -1 (* (log (/ 1 y)) (- x 1))) |
(* -1 (* (log (/ 1 y)) (- x 1))) |
(* (+ (log -1) (* -1 (log (/ -1 y)))) (- x 1)) |
(* (+ (log -1) (* -1 (log (/ -1 y)))) (- x 1)) |
(* (+ (log -1) (* -1 (log (/ -1 y)))) (- x 1)) |
(* (+ (log -1) (* -1 (log (/ -1 y)))) (- x 1)) |
(* -1 (log y)) |
(+ (* -1 (log y)) (* x (log y))) |
(+ (* -1 (log y)) (* x (log y))) |
(+ (* -1 (log y)) (* x (log y))) |
(* x (log y)) |
(* x (+ (log y) (* -1 (/ (log y) x)))) |
(* x (+ (log y) (* -1 (/ (log y) x)))) |
(* x (+ (log y) (* -1 (/ (log y) x)))) |
(* x (log y)) |
(* -1 (* x (+ (* -1 (log y)) (/ (log y) x)))) |
(* -1 (* x (+ (* -1 (log y)) (/ (log y) x)))) |
(* -1 (* x (+ (* -1 (log y)) (/ (log y) x)))) |
(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)))) |
(* (log y) (- x 1)) |
(+ (* -1 (* y (- z 1))) (* (log y) (- x 1))) |
(+ (* y (+ (* -1 (- z 1)) (* -1/2 (* y (- z 1))))) (* (log y) (- x 1))) |
(+ (* y (+ (* -1 (- z 1)) (* -1/2 (* y (- z 1))))) (* (log y) (- x 1))) |
(* -1/2 (* (pow y 2) (- z 1))) |
(* (pow y 2) (+ (* -1 (/ (- z 1) y)) (* -1/2 (- z 1)))) |
(* (pow y 2) (+ (* -1 (/ (* (log (/ 1 y)) (- x 1)) (pow y 2))) (+ (* -1 (/ (- z 1) y)) (* -1/2 (- z 1))))) |
(* (pow y 2) (+ (* -1 (/ (* (log (/ 1 y)) (- x 1)) (pow y 2))) (+ (* -1 (/ (- z 1) y)) (* -1/2 (- z 1))))) |
(* -1/2 (* (pow y 2) (- z 1))) |
(* (pow y 2) (+ (* -1 (/ (- z 1) y)) (* -1/2 (- z 1)))) |
(* (pow y 2) (+ (* -1 (/ (- (+ z (* -1 (/ (* (+ (log -1) (* -1 (log (/ -1 y)))) (- x 1)) y))) 1) y)) (* -1/2 (- z 1)))) |
(* (pow y 2) (+ (* -1 (/ (- (+ z (* -1 (/ (* (+ (log -1) (* -1 (log (/ -1 y)))) (- x 1)) y))) 1) y)) (* -1/2 (- z 1)))) |
(+ (* -1 (* y (- (* -1/2 y) 1))) (* (log y) (- x 1))) |
(+ (* -1 (* y (- (* -1/2 y) 1))) (+ (* y (* z (- (* -1/2 y) 1))) (* (log y) (- x 1)))) |
(+ (* -1 (* y (- (* -1/2 y) 1))) (+ (* y (* z (- (* -1/2 y) 1))) (* (log y) (- x 1)))) |
(+ (* -1 (* y (- (* -1/2 y) 1))) (+ (* y (* z (- (* -1/2 y) 1))) (* (log y) (- x 1)))) |
(* y (* z (- (* -1/2 y) 1))) |
(* z (+ (* -1 (/ (* y (- (* -1/2 y) 1)) z)) (+ (* y (- (* -1/2 y) 1)) (/ (* (log y) (- x 1)) z)))) |
(* z (+ (* -1 (/ (* y (- (* -1/2 y) 1)) z)) (+ (* y (- (* -1/2 y) 1)) (/ (* (log y) (- x 1)) z)))) |
(* z (+ (* -1 (/ (* y (- (* -1/2 y) 1)) z)) (+ (* y (- (* -1/2 y) 1)) (/ (* (log y) (- x 1)) z)))) |
(* y (* z (- (* -1/2 y) 1))) |
(* -1 (* z (+ (* -1 (* y (- (* -1/2 y) 1))) (* -1 (/ (+ (* -1 (* y (- (* -1/2 y) 1))) (* (log y) (- x 1))) z))))) |
(* -1 (* z (+ (* -1 (* y (- (* -1/2 y) 1))) (* -1 (/ (+ (* -1 (* y (- (* -1/2 y) 1))) (* (log y) (- x 1))) z))))) |
(* -1 (* z (+ (* -1 (* y (- (* -1/2 y) 1))) (* -1 (/ (+ (* -1 (* y (- (* -1/2 y) 1))) (* (log y) (- x 1))) z))))) |
(+ (* -1 (log y)) (* y (* (- z 1) (- (* -1/2 y) 1)))) |
(+ (* -1 (log y)) (+ (* x (log y)) (* y (* (- z 1) (- (* -1/2 y) 1))))) |
(+ (* -1 (log y)) (+ (* x (log y)) (* y (* (- z 1) (- (* -1/2 y) 1))))) |
(+ (* -1 (log y)) (+ (* x (log y)) (* y (* (- z 1) (- (* -1/2 y) 1))))) |
(* x (log y)) |
(* x (+ (log y) (+ (* -1 (/ (log y) x)) (/ (* y (* (- z 1) (- (* -1/2 y) 1))) x)))) |
(* x (+ (log y) (+ (* -1 (/ (log y) x)) (/ (* y (* (- z 1) (- (* -1/2 y) 1))) x)))) |
(* x (+ (log y) (+ (* -1 (/ (log y) x)) (/ (* y (* (- z 1) (- (* -1/2 y) 1))) x)))) |
(* x (log y)) |
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (+ (* -1 (log y)) (* y (* (- z 1) (- (* -1/2 y) 1)))) x))))) |
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (+ (* -1 (log y)) (* y (* (- z 1) (- (* -1/2 y) 1)))) x))))) |
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (+ (* -1 (log y)) (* y (* (- z 1) (- (* -1/2 y) 1)))) x))))) |
(/ -1 y) |
(- (/ z y) (/ 1 y)) |
(- (/ z y) (/ 1 y)) |
(- (/ z y) (/ 1 y)) |
(/ z y) |
(* z (- (/ 1 y) (/ 1 (* y z)))) |
(* z (- (/ 1 y) (/ 1 (* y z)))) |
(* z (- (/ 1 y) (/ 1 (* y z)))) |
(/ z y) |
(* -1 (* z (- (/ 1 (* y z)) (/ 1 y)))) |
(* -1 (* z (- (/ 1 (* y z)) (/ 1 y)))) |
(* -1 (* z (- (/ 1 (* y z)) (/ 1 y)))) |
(/ (- z 1) y) |
(/ (- z 1) y) |
(/ (- z 1) y) |
(/ (- z 1) y) |
(/ (- z 1) y) |
(/ (- z 1) y) |
(/ (- z 1) y) |
(/ (- z 1) y) |
(/ (- z 1) y) |
(/ (- z 1) y) |
(/ (- z 1) y) |
(/ (- z 1) y) |
(- (+ (* -1 (log y)) (* (log (- 1 y)) (- z 1))) t) |
(- (+ (* -1 (log y)) (+ (* x (log y)) (* (log (- 1 y)) (- z 1)))) t) |
(- (+ (* -1 (log y)) (+ (* x (log y)) (* (log (- 1 y)) (- z 1)))) t) |
(- (+ (* -1 (log y)) (+ (* x (log y)) (* (log (- 1 y)) (- z 1)))) t) |
(* x (log y)) |
(* x (- (+ (log y) (+ (* -1 (/ (log y) x)) (/ (* (log (- 1 y)) (- z 1)) x))) (/ t x))) |
(* x (- (+ (log y) (+ (* -1 (/ (log y) x)) (/ (* (log (- 1 y)) (- z 1)) x))) (/ t x))) |
(* x (- (+ (log y) (+ (* -1 (/ (log y) x)) (/ (* (log (- 1 y)) (- z 1)) x))) (/ t x))) |
(* x (log y)) |
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (- (+ (* -1 (log y)) (* (log (- 1 y)) (- z 1))) t) x))))) |
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (- (+ (* -1 (log y)) (* (log (- 1 y)) (- z 1))) t) x))))) |
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (- (+ (* -1 (log y)) (* (log (- 1 y)) (- z 1))) t) x))))) |
(- (* (log y) (- x 1)) t) |
(- (+ (* -1 (* y (- z 1))) (* (log y) (- x 1))) t) |
(- (+ (* y (+ (* -1 (- z 1)) (* -1/2 (* y (- z 1))))) (* (log y) (- x 1))) t) |
(- (+ (* y (+ (* -1 (- z 1)) (* y (+ (* -1/2 (- z 1)) (* -1/3 (* y (- z 1))))))) (* (log y) (- x 1))) t) |
(- (+ (* -1 (* (log (/ 1 y)) (- x 1))) (* (+ (log -1) (* -1 (log (/ 1 y)))) (- z 1))) t) |
(- (+ (* -1 (* (log (/ 1 y)) (- x 1))) (+ (* -1 (/ (- z 1) y)) (* (+ (log -1) (* -1 (log (/ 1 y)))) (- z 1)))) t) |
(- (+ (* -1 (* (log (/ 1 y)) (- x 1))) (+ (* -1 (/ (- z 1) y)) (+ (* -1/2 (/ (- z 1) (pow y 2))) (* (+ (log -1) (* -1 (log (/ 1 y)))) (- z 1))))) t) |
(- (+ (* -1 (* (log (/ 1 y)) (- x 1))) (+ (* -1 (/ (- z 1) y)) (+ (* -1/2 (/ (- z 1) (pow y 2))) (+ (* -1/3 (/ (- z 1) (pow y 3))) (* (+ (log -1) (* -1 (log (/ 1 y)))) (- z 1)))))) t) |
(- (+ (* -1 (* (log (/ -1 y)) (- z 1))) (* (+ (log -1) (* -1 (log (/ -1 y)))) (- x 1))) t) |
(- (+ (* -1 (* (log (/ -1 y)) (- z 1))) (+ (* -1 (/ (- z 1) y)) (* (+ (log -1) (* -1 (log (/ -1 y)))) (- x 1)))) t) |
(- (+ (* -1 (* (log (/ -1 y)) (- z 1))) (+ (* -1 (/ (- (+ z (* 1/2 (/ (- z 1) y))) 1) y)) (* (+ (log -1) (* -1 (log (/ -1 y)))) (- x 1)))) t) |
(- (+ (* -1 (* (log (/ -1 y)) (- z 1))) (+ (* -1 (/ (- (+ z (* -1 (/ (+ (* -1/2 (- z 1)) (* -1/3 (/ (- z 1) y))) y))) 1) y)) (* (+ (log -1) (* -1 (log (/ -1 y)))) (- x 1)))) t) |
(- (+ (* -1 (log (- 1 y))) (* (log y) (- x 1))) t) |
(- (+ (* -1 (log (- 1 y))) (+ (* z (log (- 1 y))) (* (log y) (- x 1)))) t) |
(- (+ (* -1 (log (- 1 y))) (+ (* z (log (- 1 y))) (* (log y) (- x 1)))) t) |
(- (+ (* -1 (log (- 1 y))) (+ (* z (log (- 1 y))) (* (log y) (- x 1)))) t) |
(* z (log (- 1 y))) |
(* z (- (+ (log (- 1 y)) (+ (* -1 (/ (log (- 1 y)) z)) (/ (* (log y) (- x 1)) z))) (/ t z))) |
(* z (- (+ (log (- 1 y)) (+ (* -1 (/ (log (- 1 y)) z)) (/ (* (log y) (- x 1)) z))) (/ t z))) |
(* z (- (+ (log (- 1 y)) (+ (* -1 (/ (log (- 1 y)) z)) (/ (* (log y) (- x 1)) z))) (/ t z))) |
(* z (log (- 1 y))) |
(* -1 (* z (+ (* -1 (log (- 1 y))) (* -1 (/ (- (+ (* -1 (log (- 1 y))) (* (log y) (- x 1))) t) z))))) |
(* -1 (* z (+ (* -1 (log (- 1 y))) (* -1 (/ (- (+ (* -1 (log (- 1 y))) (* (log y) (- x 1))) t) z))))) |
(* -1 (* z (+ (* -1 (log (- 1 y))) (* -1 (/ (- (+ (* -1 (log (- 1 y))) (* (log y) (- x 1))) t) z))))) |
(+ (* (log y) (- x 1)) (* (log (- 1 y)) (- z 1))) |
(+ (* -1 t) (+ (* (log y) (- x 1)) (* (log (- 1 y)) (- z 1)))) |
(+ (* -1 t) (+ (* (log y) (- x 1)) (* (log (- 1 y)) (- z 1)))) |
(+ (* -1 t) (+ (* (log y) (- x 1)) (* (log (- 1 y)) (- z 1)))) |
(* -1 t) |
(* t (- (+ (/ (* (log y) (- x 1)) t) (/ (* (log (- 1 y)) (- z 1)) t)) 1)) |
(* t (- (+ (/ (* (log y) (- x 1)) t) (/ (* (log (- 1 y)) (- z 1)) t)) 1)) |
(* t (- (+ (/ (* (log y) (- x 1)) t) (/ (* (log (- 1 y)) (- z 1)) t)) 1)) |
(* -1 t) |
(* -1 (* t (+ 1 (* -1 (/ (+ (* (log y) (- x 1)) (* (log (- 1 y)) (- z 1))) t))))) |
(* -1 (* t (+ 1 (* -1 (/ (+ (* (log y) (- x 1)) (* (log (- 1 y)) (- z 1))) t))))) |
(* -1 (* t (+ 1 (* -1 (/ (+ (* (log y) (- x 1)) (* (log (- 1 y)) (- z 1))) t))))) |
(pow t 3) |
(pow t 3) |
(pow t 3) |
(pow t 3) |
(pow t 3) |
(pow t 3) |
(pow t 3) |
(pow t 3) |
(pow t 3) |
(pow t 3) |
(pow t 3) |
(pow t 3) |
(* -1 y) |
(* y (- (* -1/2 y) 1)) |
(* y (- (* y (- (* -1/3 y) 1/2)) 1)) |
(* y (- (* y (- (* y (- (* -1/4 y) 1/3)) 1/2)) 1)) |
(+ (log -1) (* -1 (log (/ 1 y)))) |
(- (+ (log -1) (* -1 (log (/ 1 y)))) (/ 1 y)) |
(+ (log -1) (+ (* -1 (log (/ 1 y))) (* -1 (/ (+ 1 (* 1/2 (/ 1 y))) y)))) |
(- (+ (log -1) (+ (* -1 (log (/ 1 y))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 y))) (pow y 2))))) (/ 1 y)) |
(* -1 (log (/ -1 y))) |
(- (* -1 (log (/ -1 y))) (/ 1 y)) |
(+ (* -1 (log (/ -1 y))) (* -1 (/ (+ 1 (* 1/2 (/ 1 y))) y))) |
(+ (* -1 (log (/ -1 y))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow y 2)) (* 1/2 (/ 1 y)))) y))) |
-1/3 |
(- (* -1/4 y) 1/3) |
(- (* -1/4 y) 1/3) |
(- (* -1/4 y) 1/3) |
(* -1/4 y) |
(* -1 (* y (+ 1/4 (* 1/3 (/ 1 y))))) |
(* -1 (* y (+ 1/4 (* 1/3 (/ 1 y))))) |
(* -1 (* y (+ 1/4 (* 1/3 (/ 1 y))))) |
(* -1/4 y) |
(* -1 (* y (+ 1/4 (* 1/3 (/ 1 y))))) |
(* -1 (* y (+ 1/4 (* 1/3 (/ 1 y))))) |
(* -1 (* y (+ 1/4 (* 1/3 (/ 1 y))))) |
(* -1 (log (- 1 y))) |
(+ (* -1 (log (- 1 y))) (* z (log (- 1 y)))) |
(+ (* -1 (log (- 1 y))) (* z (log (- 1 y)))) |
(+ (* -1 (log (- 1 y))) (* z (log (- 1 y)))) |
(* z (log (- 1 y))) |
(* z (+ (log (- 1 y)) (* -1 (/ (log (- 1 y)) z)))) |
(* z (+ (log (- 1 y)) (* -1 (/ (log (- 1 y)) z)))) |
(* z (+ (log (- 1 y)) (* -1 (/ (log (- 1 y)) z)))) |
(* z (log (- 1 y))) |
(* -1 (* z (+ (* -1 (log (- 1 y))) (/ (log (- 1 y)) z)))) |
(* -1 (* z (+ (* -1 (log (- 1 y))) (/ (log (- 1 y)) z)))) |
(* -1 (* z (+ (* -1 (log (- 1 y))) (/ (log (- 1 y)) z)))) |
(* -1 (* y (- z 1))) |
(* y (+ (* -1 (- z 1)) (* -1/2 (* y (- z 1))))) |
(* y (+ (* -1 (- z 1)) (* y (+ (* -1/2 (- z 1)) (* -1/3 (* y (- z 1))))))) |
(* y (+ (* -1 (- z 1)) (* y (+ (* -1/2 (- z 1)) (* y (+ (* -1/3 (- z 1)) (* -1/4 (* y (- z 1))))))))) |
(* (+ (log -1) (* -1 (log (/ 1 y)))) (- z 1)) |
(+ (* -1 (/ (- z 1) y)) (* (+ (log -1) (* -1 (log (/ 1 y)))) (- z 1))) |
(+ (* -1 (/ (- z 1) y)) (+ (* -1/2 (/ (- z 1) (pow y 2))) (* (+ (log -1) (* -1 (log (/ 1 y)))) (- z 1)))) |
(+ (* -1 (/ (- z 1) y)) (+ (* -1/2 (/ (- z 1) (pow y 2))) (+ (* -1/3 (/ (- z 1) (pow y 3))) (* (+ (log -1) (* -1 (log (/ 1 y)))) (- z 1))))) |
(* -1 (* (log (/ -1 y)) (- z 1))) |
(+ (* -1 (* (log (/ -1 y)) (- z 1))) (* -1 (/ (- z 1) y))) |
(+ (* -1 (* (log (/ -1 y)) (- z 1))) (* -1 (/ (- (+ z (* 1/2 (/ (- z 1) y))) 1) y))) |
(+ (* -1 (* (log (/ -1 y)) (- z 1))) (* -1 (/ (- (+ z (* -1 (/ (+ (* -1/2 (- z 1)) (* -1/3 (/ (- z 1) y))) y))) 1) y))) |
| Outputs |
|---|
(- (+ (* -1 (log y)) (* (log (- 1 y)) (- z 1))) t) |
(fma.f64 (log1p.f64 (neg.f64 y)) (+.f64 #s(literal -1 binary64) z) (-.f64 (neg.f64 (log.f64 y)) t)) |
(- (+ (* -1 (log y)) (+ (* x (log y)) (* (log (- 1 y)) (- z 1)))) t) |
(fma.f64 (log1p.f64 (neg.f64 y)) (+.f64 #s(literal -1 binary64) z) (-.f64 (*.f64 (log.f64 y) (+.f64 #s(literal -1 binary64) x)) t)) |
(- (+ (* -1 (log y)) (+ (* x (log y)) (* (log (- 1 y)) (- z 1)))) t) |
(fma.f64 (log1p.f64 (neg.f64 y)) (+.f64 #s(literal -1 binary64) z) (-.f64 (*.f64 (log.f64 y) (+.f64 #s(literal -1 binary64) x)) t)) |
(- (+ (* -1 (log y)) (+ (* x (log y)) (* (log (- 1 y)) (- z 1)))) t) |
(fma.f64 (log1p.f64 (neg.f64 y)) (+.f64 #s(literal -1 binary64) z) (-.f64 (*.f64 (log.f64 y) (+.f64 #s(literal -1 binary64) x)) t)) |
(* x (log y)) |
(*.f64 (log.f64 y) x) |
(* x (- (+ (log y) (+ (* -1 (/ (log y) x)) (/ (* (log (- 1 y)) (- z 1)) x))) (/ t x))) |
(*.f64 x (-.f64 (fma.f64 (log1p.f64 (neg.f64 y)) (/.f64 (+.f64 #s(literal -1 binary64) z) x) (*.f64 (log.f64 y) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))) (/.f64 t x))) |
(* x (- (+ (log y) (+ (* -1 (/ (log y) x)) (/ (* (log (- 1 y)) (- z 1)) x))) (/ t x))) |
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(+ (log -1) (* -1 (log (/ 1 y)))) |
(+.f64 (log.f64 y) (log.f64 #s(literal -1 binary64))) |
(- (+ (log -1) (* -1 (log (/ 1 y)))) (/ 1 y)) |
(+.f64 (log.f64 y) (+.f64 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y))) |
(+ (log -1) (+ (* -1 (log (/ 1 y))) (* -1 (/ (+ 1 (* 1/2 (/ 1 y))) y)))) |
(+.f64 (log.f64 y) (-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y)) y))) |
(- (+ (log -1) (+ (* -1 (log (/ 1 y))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 y))) (pow y 2))))) (/ 1 y)) |
(-.f64 (+.f64 (log.f64 y) (log.f64 #s(literal -1 binary64))) (-.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) y)) (*.f64 y y)) (/.f64 #s(literal -1 binary64) y))) |
(* -1 (log (/ -1 y))) |
(neg.f64 (neg.f64 (log.f64 (neg.f64 y)))) |
(- (* -1 (log (/ -1 y))) (/ 1 y)) |
(-.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (log.f64 (neg.f64 y)))) |
(+ (* -1 (log (/ -1 y))) (* -1 (/ (+ 1 (* 1/2 (/ 1 y))) y))) |
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y)) (neg.f64 y)) (neg.f64 (log.f64 (neg.f64 y)))) |
(+ (* -1 (log (/ -1 y))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow y 2)) (* 1/2 (/ 1 y)))) y))) |
(-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 y y)))) (neg.f64 y)) (neg.f64 (log.f64 (neg.f64 y)))) |
-1/3 |
#s(literal -1/3 binary64) |
(- (* -1/4 y) 1/3) |
(fma.f64 y #s(literal -1/4 binary64) #s(literal -1/3 binary64)) |
(- (* -1/4 y) 1/3) |
(fma.f64 y #s(literal -1/4 binary64) #s(literal -1/3 binary64)) |
(- (* -1/4 y) 1/3) |
(fma.f64 y #s(literal -1/4 binary64) #s(literal -1/3 binary64)) |
(* -1/4 y) |
(*.f64 y #s(literal -1/4 binary64)) |
(* -1 (* y (+ 1/4 (* 1/3 (/ 1 y))))) |
(fma.f64 y #s(literal -1/4 binary64) #s(literal -1/3 binary64)) |
(* -1 (* y (+ 1/4 (* 1/3 (/ 1 y))))) |
(fma.f64 y #s(literal -1/4 binary64) #s(literal -1/3 binary64)) |
(* -1 (* y (+ 1/4 (* 1/3 (/ 1 y))))) |
(fma.f64 y #s(literal -1/4 binary64) #s(literal -1/3 binary64)) |
(* -1/4 y) |
(*.f64 y #s(literal -1/4 binary64)) |
(* -1 (* y (+ 1/4 (* 1/3 (/ 1 y))))) |
(fma.f64 y #s(literal -1/4 binary64) #s(literal -1/3 binary64)) |
(* -1 (* y (+ 1/4 (* 1/3 (/ 1 y))))) |
(fma.f64 y #s(literal -1/4 binary64) #s(literal -1/3 binary64)) |
(* -1 (* y (+ 1/4 (* 1/3 (/ 1 y))))) |
(fma.f64 y #s(literal -1/4 binary64) #s(literal -1/3 binary64)) |
(* -1 (log (- 1 y))) |
(neg.f64 (log1p.f64 (neg.f64 y))) |
(+ (* -1 (log (- 1 y))) (* z (log (- 1 y)))) |
(*.f64 (log1p.f64 (neg.f64 y)) (+.f64 #s(literal -1 binary64) z)) |
(+ (* -1 (log (- 1 y))) (* z (log (- 1 y)))) |
(*.f64 (log1p.f64 (neg.f64 y)) (+.f64 #s(literal -1 binary64) z)) |
(+ (* -1 (log (- 1 y))) (* z (log (- 1 y)))) |
(*.f64 (log1p.f64 (neg.f64 y)) (+.f64 #s(literal -1 binary64) z)) |
(* z (log (- 1 y))) |
(*.f64 (log1p.f64 (neg.f64 y)) z) |
(* z (+ (log (- 1 y)) (* -1 (/ (log (- 1 y)) z)))) |
(*.f64 z (-.f64 (log1p.f64 (neg.f64 y)) (/.f64 (log1p.f64 (neg.f64 y)) z))) |
(* z (+ (log (- 1 y)) (* -1 (/ (log (- 1 y)) z)))) |
(*.f64 z (-.f64 (log1p.f64 (neg.f64 y)) (/.f64 (log1p.f64 (neg.f64 y)) z))) |
(* z (+ (log (- 1 y)) (* -1 (/ (log (- 1 y)) z)))) |
(*.f64 z (-.f64 (log1p.f64 (neg.f64 y)) (/.f64 (log1p.f64 (neg.f64 y)) z))) |
(* z (log (- 1 y))) |
(*.f64 (log1p.f64 (neg.f64 y)) z) |
(* -1 (* z (+ (* -1 (log (- 1 y))) (/ (log (- 1 y)) z)))) |
(*.f64 z (-.f64 (log1p.f64 (neg.f64 y)) (/.f64 (log1p.f64 (neg.f64 y)) z))) |
(* -1 (* z (+ (* -1 (log (- 1 y))) (/ (log (- 1 y)) z)))) |
(*.f64 z (-.f64 (log1p.f64 (neg.f64 y)) (/.f64 (log1p.f64 (neg.f64 y)) z))) |
(* -1 (* z (+ (* -1 (log (- 1 y))) (/ (log (- 1 y)) z)))) |
(*.f64 z (-.f64 (log1p.f64 (neg.f64 y)) (/.f64 (log1p.f64 (neg.f64 y)) z))) |
(* -1 (* y (- z 1))) |
(-.f64 y (*.f64 y z)) |
(* y (+ (* -1 (- z 1)) (* -1/2 (* y (- z 1))))) |
(*.f64 (+.f64 #s(literal -1 binary64) z) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)))) |
(* y (+ (* -1 (- z 1)) (* y (+ (* -1/2 (- z 1)) (* -1/3 (* y (- z 1))))))) |
(*.f64 y (fma.f64 (-.f64 (*.f64 y z) y) (fma.f64 y #s(literal -1/3 binary64) #s(literal -1/2 binary64)) (-.f64 #s(literal 1 binary64) z))) |
(* y (+ (* -1 (- z 1)) (* y (+ (* -1/2 (- z 1)) (* y (+ (* -1/3 (- z 1)) (* -1/4 (* y (- z 1))))))))) |
(*.f64 y (fma.f64 y (fma.f64 (-.f64 (*.f64 y z) y) (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/3 binary64)) (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (-.f64 #s(literal 1 binary64) z))) |
(* (+ (log -1) (* -1 (log (/ 1 y)))) (- z 1)) |
(*.f64 (+.f64 #s(literal -1 binary64) z) (+.f64 (log.f64 y) (log.f64 #s(literal -1 binary64)))) |
(+ (* -1 (/ (- z 1) y)) (* (+ (log -1) (* -1 (log (/ 1 y)))) (- z 1))) |
(*.f64 (+.f64 #s(literal -1 binary64) z) (+.f64 (log.f64 y) (+.f64 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y)))) |
(+ (* -1 (/ (- z 1) y)) (+ (* -1/2 (/ (- z 1) (pow y 2))) (* (+ (log -1) (* -1 (log (/ 1 y)))) (- z 1)))) |
(fma.f64 (+.f64 #s(literal -1 binary64) z) (+.f64 (log.f64 y) (log.f64 #s(literal -1 binary64))) (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) z) y) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) y)))) |
(+ (* -1 (/ (- z 1) y)) (+ (* -1/2 (/ (- z 1) (pow y 2))) (+ (* -1/3 (/ (- z 1) (pow y 3))) (* (+ (log -1) (* -1 (log (/ 1 y)))) (- z 1))))) |
(fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) z) (*.f64 y y)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/3 binary64) y)) (*.f64 (+.f64 #s(literal -1 binary64) z) (+.f64 (log.f64 y) (+.f64 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y))))) |
(* -1 (* (log (/ -1 y)) (- z 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (neg.f64 (log.f64 (neg.f64 y)))) |
(+ (* -1 (* (log (/ -1 y)) (- z 1))) (* -1 (/ (- z 1) y))) |
(*.f64 (+.f64 #s(literal -1 binary64) z) (-.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (log.f64 (neg.f64 y))))) |
(+ (* -1 (* (log (/ -1 y)) (- z 1))) (* -1 (/ (- (+ z (* 1/2 (/ (- z 1) y))) 1) y))) |
(fma.f64 (-.f64 #s(literal 1 binary64) z) (neg.f64 (log.f64 (neg.f64 y))) (/.f64 (+.f64 #s(literal -1 binary64) (fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) z) y) #s(literal 1/2 binary64) z)) (neg.f64 y))) |
(+ (* -1 (* (log (/ -1 y)) (- z 1))) (* -1 (/ (- (+ z (* -1 (/ (+ (* -1/2 (- z 1)) (* -1/3 (/ (- z 1) y))) y))) 1) y))) |
(-.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (neg.f64 (log.f64 (neg.f64 y)))) (/.f64 (-.f64 (+.f64 #s(literal -1 binary64) z) (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) z) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/3 binary64) y))) y)) y)) |
| 1× | batch-egg-rewrite |
| 4 086× | lower-/.f32 |
| 4 080× | lower-/.f64 |
| 3 760× | lower-fma.f32 |
| 3 748× | lower-fma.f64 |
| 3 734× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 66 | 483 |
| 0 | 102 | 442 |
| 1 | 491 | 418 |
| 2 | 4473 | 410 |
| 0 | 9720 | 386 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (fma.f64 y (-.f64 #s(literal 1 binary64) z) (*.f64 (log.f64 y) (+.f64 #s(literal -1 binary64) x)))) t) |
#s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (fma.f64 y (-.f64 #s(literal 1 binary64) z) (*.f64 (log.f64 y) (+.f64 #s(literal -1 binary64) x)))) |
(fma.f64 y (-.f64 #s(literal 1 binary64) z) (*.f64 (log.f64 y) (+.f64 #s(literal -1 binary64) x))) |
(-.f64 #s(literal 1 binary64) z) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) t) |
(*.f64 (*.f64 y y) (-.f64 (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (+.f64 #s(literal -1 binary64) z) y))) |
(-.f64 (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (+.f64 #s(literal -1 binary64) z) y)) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* y (* (+ -1 z) (+ (* y -1/2) -1))) (* (log y) (+ -1 x))) (*.f64 (*.f64 y y) (-.f64 (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (+.f64 #s(literal -1 binary64) z) y))))) t) |
#s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* y (* (+ -1 z) (+ (* y -1/2) -1))) (* (log y) (+ -1 x))) (*.f64 (*.f64 y y) (-.f64 (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (+.f64 #s(literal -1 binary64) z) y))))) |
(/.f64 (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))) (*.f64 t (*.f64 t t))) |
(/.f64 (/.f64 (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))) (*.f64 t (*.f64 t t))) (+.f64 #s(literal 0 binary64) (fma.f64 t t (*.f64 #s(literal 0 binary64) t)))) |
(*.f64 #s(literal 0 binary64) t) |
(+.f64 #s(literal 0 binary64) (fma.f64 t t (*.f64 #s(literal 0 binary64) t))) |
(+.f64 #s(approx (* (- x 1) (log y)) (neg.f64 (log.f64 y))) (*.f64 (-.f64 z #s(literal 1 binary64)) #s(approx (log (- 1 y)) (*.f64 y (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))))) |
(-.f64 (+.f64 #s(approx (* (- x 1) (log y)) (neg.f64 (log.f64 y))) (*.f64 (-.f64 z #s(literal 1 binary64)) #s(approx (log (- 1 y)) (*.f64 y (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))))) t) |
#s(approx (* (- x 1) (log y)) (neg.f64 (log.f64 y))) |
(neg.f64 (log.f64 y)) |
(*.f64 (log.f64 y) (+.f64 #s(literal -1 binary64) x)) |
(log.f64 y) |
#s(approx (+ (* y (* (+ -1 z) (+ (* y -1/2) -1))) (* (log y) (+ -1 x))) (*.f64 (*.f64 y y) (-.f64 (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (+.f64 #s(literal -1 binary64) z) y)))) |
(/.f64 (+.f64 #s(literal -1 binary64) z) y) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (/.f64 (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))) (*.f64 t (*.f64 t t))) (+.f64 #s(literal 0 binary64) (fma.f64 t t (*.f64 #s(literal 0 binary64) t))))) |
(*.f64 t (*.f64 t t)) |
#s(approx (log (- 1 y)) (*.f64 y (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) |
(fma.f64 y #s(literal -1/4 binary64) #s(literal -1/3 binary64)) |
(*.f64 (-.f64 z #s(literal 1 binary64)) #s(approx (log (- 1 y)) (*.f64 y (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))))) |
| Outputs |
|---|
(+.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (fma.f64 y (-.f64 #s(literal 1 binary64) z) (*.f64 (log.f64 y) (+.f64 x #s(literal -1 binary64))))) (neg.f64 t)) |
(+.f64 (neg.f64 t) #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (fma.f64 y (-.f64 #s(literal 1 binary64) z) (*.f64 (log.f64 y) (+.f64 x #s(literal -1 binary64)))))) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (fma.f64 y (-.f64 #s(literal 1 binary64) z) (*.f64 (log.f64 y) (+.f64 x #s(literal -1 binary64))))) t) |
(-.f64 (/.f64 (pow.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (fma.f64 y (-.f64 #s(literal 1 binary64) z) (*.f64 (log.f64 y) (+.f64 x #s(literal -1 binary64))))) #s(literal 3 binary64)) (fma.f64 t (+.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (fma.f64 y (-.f64 #s(literal 1 binary64) z) (*.f64 (log.f64 y) (+.f64 x #s(literal -1 binary64))))) t) (pow.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (fma.f64 y (-.f64 #s(literal 1 binary64) z) (*.f64 (log.f64 y) (+.f64 x #s(literal -1 binary64))))) #s(literal 2 binary64)))) (/.f64 (*.f64 t (*.f64 t t)) (fma.f64 t (+.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (fma.f64 y (-.f64 #s(literal 1 binary64) z) (*.f64 (log.f64 y) (+.f64 x #s(literal -1 binary64))))) t) (pow.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (fma.f64 y (-.f64 #s(literal 1 binary64) z) (*.f64 (log.f64 y) (+.f64 x #s(literal -1 binary64))))) #s(literal 2 binary64))))) |
(-.f64 (/.f64 (pow.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (fma.f64 y (-.f64 #s(literal 1 binary64) z) (*.f64 (log.f64 y) (+.f64 x #s(literal -1 binary64))))) #s(literal 2 binary64)) (+.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (fma.f64 y (-.f64 #s(literal 1 binary64) z) (*.f64 (log.f64 y) (+.f64 x #s(literal -1 binary64))))) t)) (/.f64 (*.f64 t t) (+.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (fma.f64 y (-.f64 #s(literal 1 binary64) z) (*.f64 (log.f64 y) (+.f64 x #s(literal -1 binary64))))) t))) |
(fma.f64 #s(literal -1 binary64) t #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (fma.f64 y (-.f64 #s(literal 1 binary64) z) (*.f64 (log.f64 y) (+.f64 x #s(literal -1 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 t (+.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (fma.f64 y (-.f64 #s(literal 1 binary64) z) (*.f64 (log.f64 y) (+.f64 x #s(literal -1 binary64))))) t) (pow.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (fma.f64 y (-.f64 #s(literal 1 binary64) z) (*.f64 (log.f64 y) (+.f64 x #s(literal -1 binary64))))) #s(literal 2 binary64))) (-.f64 (pow.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (fma.f64 y (-.f64 #s(literal 1 binary64) z) (*.f64 (log.f64 y) (+.f64 x #s(literal -1 binary64))))) #s(literal 3 binary64)) (*.f64 t (*.f64 t t))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (fma.f64 y (-.f64 #s(literal 1 binary64) z) (*.f64 (log.f64 y) (+.f64 x #s(literal -1 binary64))))) t) (-.f64 (pow.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (fma.f64 y (-.f64 #s(literal 1 binary64) z) (*.f64 (log.f64 y) (+.f64 x #s(literal -1 binary64))))) #s(literal 2 binary64)) (*.f64 t t)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 t (+.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (fma.f64 y (-.f64 #s(literal 1 binary64) z) (*.f64 (log.f64 y) (+.f64 x #s(literal -1 binary64))))) t) (pow.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (fma.f64 y (-.f64 #s(literal 1 binary64) z) (*.f64 (log.f64 y) (+.f64 x #s(literal -1 binary64))))) #s(literal 2 binary64))) (-.f64 (pow.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (fma.f64 y (-.f64 #s(literal 1 binary64) z) (*.f64 (log.f64 y) (+.f64 x #s(literal -1 binary64))))) #s(literal 3 binary64)) (*.f64 t (*.f64 t t)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (fma.f64 y (-.f64 #s(literal 1 binary64) z) (*.f64 (log.f64 y) (+.f64 x #s(literal -1 binary64))))) t) (-.f64 (pow.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (fma.f64 y (-.f64 #s(literal 1 binary64) z) (*.f64 (log.f64 y) (+.f64 x #s(literal -1 binary64))))) #s(literal 2 binary64)) (*.f64 t t))))) |
(/.f64 (-.f64 (pow.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (fma.f64 y (-.f64 #s(literal 1 binary64) z) (*.f64 (log.f64 y) (+.f64 x #s(literal -1 binary64))))) #s(literal 3 binary64)) (*.f64 t (*.f64 t t))) (fma.f64 t (+.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (fma.f64 y (-.f64 #s(literal 1 binary64) z) (*.f64 (log.f64 y) (+.f64 x #s(literal -1 binary64))))) t) (pow.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (fma.f64 y (-.f64 #s(literal 1 binary64) z) (*.f64 (log.f64 y) (+.f64 x #s(literal -1 binary64))))) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (pow.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (fma.f64 y (-.f64 #s(literal 1 binary64) z) (*.f64 (log.f64 y) (+.f64 x #s(literal -1 binary64))))) #s(literal 3 binary64)) (*.f64 t (*.f64 t t))) (+.f64 (pow.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (fma.f64 y (-.f64 #s(literal 1 binary64) z) (*.f64 (log.f64 y) (+.f64 x #s(literal -1 binary64))))) #s(literal 2 binary64)) (-.f64 (*.f64 t t) (*.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (fma.f64 y (-.f64 #s(literal 1 binary64) z) (*.f64 (log.f64 y) (+.f64 x #s(literal -1 binary64))))) (neg.f64 t))))) |
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(/.f64 (neg.f64 (/.f64 (*.f64 t (*.f64 t (*.f64 t (*.f64 t t)))) t)) (neg.f64 t)) |
(pow.f64 t #s(literal 3 binary64)) |
(pow.f64 (*.f64 t t) #s(literal 3/2 binary64)) |
(pow.f64 (*.f64 t (*.f64 t t)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 t t))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 t t))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 t #s(literal 3/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 (log.f64 t)) #s(literal 3 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 t (*.f64 t t))) |
(*.f64 t (*.f64 t t)) |
(*.f64 t (/.f64 (*.f64 t (*.f64 t (*.f64 t (*.f64 t t)))) (*.f64 t (*.f64 t t)))) |
(*.f64 t (*.f64 (*.f64 t (*.f64 t (*.f64 t (*.f64 t t)))) (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 t t))))) |
(*.f64 t (pow.f64 (/.f64 t (*.f64 t (*.f64 t t))) #s(literal -1 binary64))) |
(*.f64 (*.f64 t t) t) |
(*.f64 (*.f64 t (*.f64 t t)) #s(literal 1 binary64)) |
(*.f64 (*.f64 t (*.f64 t t)) (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64))) |
(*.f64 (*.f64 t (*.f64 t t)) (pow.f64 (/.f64 t t) #s(literal 3/2 binary64))) |
(*.f64 (*.f64 t (*.f64 t (*.f64 t t))) (/.f64 #s(literal 1 binary64) t)) |
(*.f64 (*.f64 t (*.f64 t (*.f64 t (*.f64 t (*.f64 t t))))) (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 t t)))) |
(*.f64 (*.f64 t (*.f64 t (*.f64 t (*.f64 t (*.f64 t t))))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 t t)) #s(literal 3/2 binary64))) |
(*.f64 (neg.f64 (*.f64 t (*.f64 t (*.f64 t (*.f64 t (*.f64 t t)))))) (/.f64 #s(literal -1 binary64) (*.f64 t (*.f64 t t)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 t t))) (*.f64 t (*.f64 t (*.f64 t (*.f64 t (*.f64 t t)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 t t))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 t (*.f64 t (*.f64 t (*.f64 t t)))))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 t t)) (*.f64 t (*.f64 t (*.f64 t (*.f64 t t))))) |
(*.f64 (*.f64 t (*.f64 t (*.f64 t (*.f64 t t)))) (/.f64 #s(literal 1 binary64) (*.f64 t t))) |
(*.f64 (/.f64 t t) (*.f64 t (*.f64 t t))) |
(*.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 (*.f64 t (*.f64 t (*.f64 t (*.f64 t t)))) t)) |
(*.f64 (/.f64 #s(literal 1 binary64) t) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 t (*.f64 t t)))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) t) (pow.f64 (/.f64 t (*.f64 t (*.f64 t (*.f64 t (*.f64 t t))))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 t #s(literal 3/2 binary64)) (pow.f64 t #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 (/.f64 t t) #s(literal -1 binary64)) (*.f64 t (*.f64 t t))) |
(*.f64 (pow.f64 (*.f64 t (*.f64 t t)) #s(literal 3/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) t) #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 (*.f64 t (*.f64 t (*.f64 t (*.f64 t (*.f64 t t))))) #s(literal 3/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 t (*.f64 t t)))) #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 (neg.f64 (*.f64 t (*.f64 t (*.f64 t t)))) #s(literal 3/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (neg.f64 t))) #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 (/.f64 t t) #s(literal 3/2 binary64)) (*.f64 t (*.f64 t t))) |
(*.f64 (pow.f64 (/.f64 t (*.f64 t (*.f64 t t))) #s(literal -1 binary64)) t) |
#s(approx (log (- 1 y)) (*.f64 y (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) |
(+.f64 #s(literal -1/3 binary64) (*.f64 y #s(literal -1/4 binary64))) |
(+.f64 (*.f64 y #s(literal -1/4 binary64)) #s(literal -1/3 binary64)) |
(-.f64 (/.f64 (*.f64 (*.f64 y y) #s(literal 1/16 binary64)) (fma.f64 y #s(literal -1/4 binary64) #s(literal 1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (fma.f64 y #s(literal -1/4 binary64) #s(literal 1/3 binary64)))) |
(fma.f64 y #s(literal -1/4 binary64) #s(literal -1/3 binary64)) |
(fma.f64 #s(literal -1/4 binary64) y #s(literal -1/3 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (*.f64 y y) #s(literal 1/16 binary64) #s(literal 1/9 binary64)) (*.f64 y #s(literal 1/12 binary64))) (fma.f64 (*.f64 y (*.f64 y y)) #s(literal -1/64 binary64) #s(literal -1/27 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y #s(literal -1/4 binary64) #s(literal 1/3 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/16 binary64) #s(literal -1/9 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 (*.f64 y y) #s(literal 1/16 binary64) #s(literal 1/9 binary64)) (*.f64 y #s(literal 1/12 binary64))) (fma.f64 (*.f64 y (*.f64 y y)) #s(literal -1/64 binary64) #s(literal -1/27 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 y #s(literal -1/4 binary64) #s(literal 1/3 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/16 binary64) #s(literal -1/9 binary64))))) |
(/.f64 (fma.f64 (*.f64 y (*.f64 y y)) #s(literal -1/64 binary64) #s(literal -1/27 binary64)) (-.f64 (fma.f64 (*.f64 y y) #s(literal 1/16 binary64) #s(literal 1/9 binary64)) (*.f64 y #s(literal 1/12 binary64)))) |
(/.f64 (fma.f64 (*.f64 y (*.f64 y y)) #s(literal -1/64 binary64) #s(literal -1/27 binary64)) (+.f64 #s(literal 1/9 binary64) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/16 binary64)) (*.f64 y #s(literal 1/12 binary64))))) |
(/.f64 (fma.f64 (*.f64 y y) #s(literal 1/16 binary64) #s(literal -1/9 binary64)) (fma.f64 y #s(literal -1/4 binary64) #s(literal 1/3 binary64))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 y (*.f64 y y)) #s(literal -1/64 binary64) #s(literal -1/27 binary64))) (neg.f64 (-.f64 (fma.f64 (*.f64 y y) #s(literal 1/16 binary64) #s(literal 1/9 binary64)) (*.f64 y #s(literal 1/12 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 y (*.f64 y y)) #s(literal -1/64 binary64) #s(literal -1/27 binary64))) (neg.f64 (+.f64 #s(literal 1/9 binary64) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/16 binary64)) (*.f64 y #s(literal 1/12 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 y y) #s(literal 1/16 binary64) #s(literal -1/9 binary64))) (neg.f64 (fma.f64 y #s(literal -1/4 binary64) #s(literal 1/3 binary64)))) |
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 y y) #s(literal 1/16 binary64))) (-.f64 #s(literal -1/3 binary64) (*.f64 y #s(literal -1/4 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 y (*.f64 y y)) #s(literal -1/64 binary64) #s(literal -1/27 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (*.f64 y y) #s(literal 1/16 binary64) #s(literal 1/9 binary64)) (*.f64 y #s(literal 1/12 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 y y) #s(literal 1/16 binary64) #s(literal -1/9 binary64)))) (neg.f64 (neg.f64 (fma.f64 y #s(literal -1/4 binary64) #s(literal 1/3 binary64))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 y y) #s(literal 1/16 binary64)))) (neg.f64 (-.f64 #s(literal -1/3 binary64) (*.f64 y #s(literal -1/4 binary64))))) |
(pow.f64 (/.f64 (-.f64 (fma.f64 (*.f64 y y) #s(literal 1/16 binary64) #s(literal 1/9 binary64)) (*.f64 y #s(literal 1/12 binary64))) (fma.f64 (*.f64 y (*.f64 y y)) #s(literal -1/64 binary64) #s(literal -1/27 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 y #s(literal -1/4 binary64) #s(literal 1/3 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/16 binary64) #s(literal -1/9 binary64))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 (*.f64 y (*.f64 y y)) #s(literal -1/64 binary64) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 y y) #s(literal 1/16 binary64) #s(literal 1/9 binary64)) (*.f64 y #s(literal 1/12 binary64))))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/16 binary64) #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/4 binary64) #s(literal 1/3 binary64)))) |
(+.f64 (*.f64 #s(approx (log (- 1 y)) (*.f64 y (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) z) (*.f64 #s(approx (log (- 1 y)) (*.f64 y (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) #s(literal -1 binary64))) |
(+.f64 (*.f64 #s(approx (log (- 1 y)) (*.f64 y (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) #s(literal -1 binary64)) (*.f64 #s(approx (log (- 1 y)) (*.f64 y (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) z)) |
(+.f64 (*.f64 z #s(approx (log (- 1 y)) (*.f64 y (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))))) (*.f64 #s(literal -1 binary64) #s(approx (log (- 1 y)) (*.f64 y (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))))) |
(+.f64 (*.f64 #s(literal -1 binary64) #s(approx (log (- 1 y)) (*.f64 y (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))))) (*.f64 z #s(approx (log (- 1 y)) (*.f64 y (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))))) |
(fma.f64 z #s(approx (log (- 1 y)) (*.f64 y (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) (*.f64 #s(literal -1 binary64) #s(approx (log (- 1 y)) (*.f64 y (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))))) |
(fma.f64 #s(literal -1 binary64) #s(approx (log (- 1 y)) (*.f64 y (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) (*.f64 z #s(approx (log (- 1 y)) (*.f64 y (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))))) |
(fma.f64 #s(approx (log (- 1 y)) (*.f64 y (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) z (*.f64 #s(approx (log (- 1 y)) (*.f64 y (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) #s(literal -1 binary64))) |
(fma.f64 #s(approx (log (- 1 y)) (*.f64 y (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) #s(literal -1 binary64) (*.f64 #s(approx (log (- 1 y)) (*.f64 y (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) z)) |
(/.f64 (*.f64 #s(approx (log (- 1 y)) (*.f64 y (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) (fma.f64 z (*.f64 z z) #s(literal -1 binary64))) (fma.f64 z (+.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))) |
(/.f64 (*.f64 #s(approx (log (- 1 y)) (*.f64 y (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) (fma.f64 z (*.f64 z z) #s(literal -1 binary64))) (fma.f64 z z (+.f64 #s(literal 1 binary64) z))) |
(/.f64 (*.f64 #s(approx (log (- 1 y)) (*.f64 y (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 z z))) (-.f64 #s(literal -1 binary64) z)) |
(/.f64 (*.f64 #s(approx (log (- 1 y)) (*.f64 y (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) (fma.f64 z z #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) z)) |
(/.f64 (*.f64 (fma.f64 z (*.f64 z z) #s(literal -1 binary64)) #s(approx (log (- 1 y)) (*.f64 y (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))))) (fma.f64 z (+.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))) |
(/.f64 (*.f64 (fma.f64 z (*.f64 z z) #s(literal -1 binary64)) #s(approx (log (- 1 y)) (*.f64 y (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))))) (fma.f64 z z (+.f64 #s(literal 1 binary64) z))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) #s(approx (log (- 1 y)) (*.f64 y (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))))) (-.f64 #s(literal -1 binary64) z)) |
(/.f64 (*.f64 (fma.f64 z z #s(literal -1 binary64)) #s(approx (log (- 1 y)) (*.f64 y (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))))) (+.f64 #s(literal 1 binary64) z)) |
(/.f64 (neg.f64 (*.f64 #s(approx (log (- 1 y)) (*.f64 y (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) (fma.f64 z (*.f64 z z) #s(literal -1 binary64)))) (neg.f64 (fma.f64 z (+.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (*.f64 #s(approx (log (- 1 y)) (*.f64 y (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) (fma.f64 z (*.f64 z z) #s(literal -1 binary64)))) (neg.f64 (fma.f64 z z (+.f64 #s(literal 1 binary64) z)))) |
(/.f64 (neg.f64 (*.f64 #s(approx (log (- 1 y)) (*.f64 y (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 z z)))) (neg.f64 (-.f64 #s(literal -1 binary64) z))) |
(/.f64 (neg.f64 (*.f64 #s(approx (log (- 1 y)) (*.f64 y (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) (fma.f64 z z #s(literal -1 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) z))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 z (*.f64 z z) #s(literal -1 binary64)) #s(approx (log (- 1 y)) (*.f64 y (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))))) (neg.f64 (fma.f64 z (+.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 z (*.f64 z z) #s(literal -1 binary64)) #s(approx (log (- 1 y)) (*.f64 y (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))))) (neg.f64 (fma.f64 z z (+.f64 #s(literal 1 binary64) z)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) #s(approx (log (- 1 y)) (*.f64 y (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))))) (neg.f64 (-.f64 #s(literal -1 binary64) z))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 z z #s(literal -1 binary64)) #s(approx (log (- 1 y)) (*.f64 y (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))))) (neg.f64 (+.f64 #s(literal 1 binary64) z))) |
(*.f64 (+.f64 z #s(literal -1 binary64)) #s(approx (log (- 1 y)) (*.f64 y (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))))) |
(*.f64 #s(approx (log (- 1 y)) (*.f64 y (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) (+.f64 z #s(literal -1 binary64))) |
Compiled 38 512 to 2 767 computations (92.8% saved)
67 alts after pruning (63 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 412 | 28 | 1 440 |
| Fresh | 12 | 35 | 47 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 3 | 3 |
| Total | 1 428 | 67 | 1 495 |
| Status | Accuracy | Program |
|---|---|---|
| 61.4% | (fma.f64 (+.f64 z #s(literal -1 binary64)) #s(approx (log (- 1 y)) (*.f64 y (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) (-.f64 #s(approx (* (- x 1) (log y)) (neg.f64 (log.f64 y))) t)) | |
| 62.3% | (fma.f64 (*.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) (log.f64 y)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x #s(literal 1 binary64)) x)) (fma.f64 (+.f64 z #s(literal -1 binary64)) (log1p.f64 (neg.f64 y)) (neg.f64 t))) | |
| 21.1% | (pow.f64 (pow.f64 #s(approx (+ (* (+ x -1) (log y)) (+ (* (+ z -1) (log (+ 1 (neg y)))) (neg t))) (*.f64 x (log.f64 y))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) | |
| 7.9% | (/.f64 (fma.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z #s(approx (log (+ 1 (neg y))) (neg.f64 y)))) #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z #s(approx (log (+ 1 (neg y))) (neg.f64 y)))) (*.f64 t t)) (+.f64 t #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z #s(approx (log (+ 1 (neg y))) (neg.f64 y)))))) | |
| 21.1% | (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 #s(approx (+ (* (+ x -1) (log y)) (+ (* (+ z -1) (log (+ 1 (neg y)))) (neg t))) (*.f64 x (log.f64 y))) #s(literal -1/2 binary64)) #s(literal 2 binary64))) | |
| ✓ | 40.0% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (+ x -1) (log y)) (+ (* (+ z -1) (log (+ 1 (neg y)))) (neg t))) (*.f64 (log.f64 y) x)))) |
| 39.8% | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ x -1) (log y)) (+ (* (+ z -1) (log (+ 1 (neg y)))) (neg t)))) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (log.f64 y)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (log.f64 y)) (-.f64 (/.f64 t (pow.f64 (log.f64 y) #s(literal 2 binary64))) (/.f64 (*.f64 (log1p.f64 (neg.f64 y)) (+.f64 #s(literal -1 binary64) z)) (pow.f64 (log.f64 y) #s(literal 2 binary64))))) x)) (neg.f64 x)))) | |
| 35.4% | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ x -1) (log y)) (+ (* (+ z -1) (log (+ 1 (neg y)))) (neg t)))) (/.f64 #s(literal -1 binary64) t))) | |
| 99.5% | (-.f64 (+.f64 (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) (*.f64 (-.f64 z #s(literal 1 binary64)) #s(approx (log (- 1 y)) (neg.f64 y)))) t) | |
| 61.4% | (-.f64 (+.f64 #s(approx (* (- x 1) (log y)) (neg.f64 (log.f64 y))) (*.f64 (-.f64 z #s(literal 1 binary64)) #s(approx (log (- 1 y)) (*.f64 y (fma.f64 y (fma.f64 y #s(approx (+ (* y -1/4) -1/3) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))))) t) | |
| 91.1% | (-.f64 #s(approx (+ (/ (log y) (/ 1 (+ x -1))) (* (- z 1) (log (- 1 y)))) (*.f64 (log.f64 y) (+.f64 #s(literal -1 binary64) x))) t) | |
| 73.3% | (-.f64 #s(approx (+ (/ (log y) (/ 1 (+ x -1))) (* (- z 1) (log (- 1 y)))) (*.f64 (log.f64 y) x)) t) | |
| 73.0% | (-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (fma.f64 y (-.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (log.f64 y)) (+.f64 x #s(literal 1 binary64))))) t) | |
| 81.9% | (-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (fma.f64 y (-.f64 #s(literal 1 binary64) z) #s(approx (* (log y) (+ -1 x)) (*.f64 (log.f64 y) x)))) t) | |
| 61.3% | (-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (fma.f64 y (*.f64 (+.f64 #s(literal -1 binary64) z) (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))) #s(approx (* (log y) (+ -1 x)) (neg.f64 (log.f64 y))))) t) | |
| ✓ | 43.8% | (-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 #s(approx (log (+ 1 (neg y))) (neg.f64 y)) z)) t) |
| 91.2% | (-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* y (- 1 z)) (* (log y) (+ -1 x))) (fma.f64 (log.f64 y) (+.f64 #s(literal -1 binary64) x) y))) t) | |
| 75.7% | (-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* y (- 1 z)) (* (log y) (+ -1 x))) (fma.f64 y (fma.f64 (log.f64 y) (/.f64 (+.f64 #s(literal -1 binary64) x) y) (neg.f64 z)) y))) t) | |
| 44.0% | (-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* y (- 1 z)) (* (log y) (+ -1 x))) (-.f64 y (*.f64 y z)))) t) | |
| 86.1% | (-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* y (- 1 z)) (* (log y) (+ -1 x))) (*.f64 (-.f64 y (/.f64 (fma.f64 (log.f64 y) (+.f64 #s(literal -1 binary64) x) y) z)) (neg.f64 z)))) t) | |
| 86.1% | (-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* y (- 1 z)) (* (log y) (+ -1 x))) (*.f64 z (fma.f64 (log.f64 y) (/.f64 (+.f64 #s(literal -1 binary64) x) z) (-.f64 (/.f64 y z) y))))) t) | |
| 31.5% | (-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* y (* (+ -1 z) (+ (* y -1/2) -1))) (* (log y) (+ -1 x))) (*.f64 (*.f64 y (+.f64 #s(literal 1/2 binary64) (fma.f64 z #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) z) y)))) y))) t) | |
| 13.3% | (-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* y (* (+ -1 z) (+ (* y -1/2) -1))) (* (log y) (+ -1 x))) (*.f64 (*.f64 y y) (/.f64 (-.f64 (*.f64 (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (/.f64 (*.f64 (+.f64 z #s(literal -1 binary64)) (+.f64 z #s(literal -1 binary64))) (*.f64 y y))) (-.f64 (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) z) y)))))) t) | |
| 25.0% | (-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* y (* (+ -1 z) (+ (* y -1/2) -1))) (* (log y) (+ -1 x))) (*.f64 (*.f64 y y) (-.f64 (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (fma.f64 z (*.f64 z z) #s(literal -1 binary64)) (*.f64 y (fma.f64 z (+.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)))))))) t) | |
| 27.5% | (-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* y (* (+ -1 z) (+ (* y -1/2) -1))) (* (log y) (+ -1 x))) (*.f64 (*.f64 y y) (-.f64 (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (fma.f64 z z #s(literal -1 binary64)) (*.f64 y (+.f64 #s(literal 1 binary64) z))))))) t) | |
| 21.9% | (-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* y (* (+ -1 z) (+ (* y -1/2) -1))) (* (log y) (+ -1 x))) (*.f64 (*.f64 y y) (-.f64 (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(approx (/ (+ -1 z) y) (fma.f64 z (/.f64 #s(literal -1 binary64) (*.f64 y z)) (/.f64 z y))))))) t) | |
| 31.1% | (-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* y (* (+ -1 z) (+ (* y -1/2) -1))) (* (log y) (+ -1 x))) (*.f64 (*.f64 y y) #s(approx (- (+ (* z -1/2) 1/2) (/ (+ -1 z) y)) (/.f64 (-.f64 #s(literal 1 binary64) z) y))))) t) | |
| 31.1% | (-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* y (* (+ -1 z) (+ (* y -1/2) -1))) (* (log y) (+ -1 x))) (*.f64 (*.f64 y y) #s(approx (- (+ (* z -1/2) 1/2) (/ (+ -1 z) y)) (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) z) (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))) y))))) t) | |
| 35.8% | (-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* y (* (+ -1 z) (+ (* y -1/2) -1))) (* (log y) (+ -1 x))) #s(approx (* (* y y) (- (+ (* z -1/2) 1/2) (/ (+ -1 z) y))) (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) y)))) t) | |
| 44.0% | (-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* y (* (+ -1 z) (+ (* y -1/2) -1))) (* (log y) (+ -1 x))) #s(approx (* (* y y) (- (+ (* z -1/2) 1/2) (/ (+ -1 z) y))) (*.f64 (+.f64 #s(literal -1 binary64) z) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))))))) t) | |
| 44.0% | (-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* y (* (+ -1 z) (+ (* y -1/2) -1))) (* (log y) (+ -1 x))) #s(approx (* (* y y) (- (+ (* z -1/2) 1/2) (/ (+ -1 z) y))) (*.f64 z (*.f64 y (+.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) (/.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) (neg.f64 z)))))))) t) | |
| 10.5% | (+.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z #s(approx (log (+ 1 (neg y))) (neg.f64 y)))) t) | |
| 5.0% | (*.f64 (fma.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z #s(approx (log (+ 1 (neg y))) (neg.f64 y)))) (*.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z #s(approx (log (+ 1 (neg y))) (neg.f64 y)))) #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z #s(approx (log (+ 1 (neg y))) (neg.f64 y))))) (*.f64 t (*.f64 t t))) (/.f64 #s(literal 1 binary64) (fma.f64 t (+.f64 t #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z #s(approx (log (+ 1 (neg y))) (neg.f64 y))))) (*.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z #s(approx (log (+ 1 (neg y))) (neg.f64 y)))) #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z #s(approx (log (+ 1 (neg y))) (neg.f64 y)))))))) | |
| 40.1% | #s(approx (/ 1 (/ 1 (+ (* (+ x -1) (log y)) (+ (* (+ z -1) (log (+ 1 (neg y)))) (neg t))))) (*.f64 (log.f64 y) x)) | |
| 82.0% | #s(approx (/ 1 (/ 1 (+ (* (+ x -1) (log y)) (+ (* (+ z -1) (log (+ 1 (neg y)))) (neg t))))) (*.f64 t (fma.f64 (log1p.f64 (neg.f64 y)) (/.f64 (+.f64 #s(literal -1 binary64) z) t) (fma.f64 (+.f64 #s(literal -1 binary64) x) (/.f64 (log.f64 y) t) #s(literal -1 binary64))))) | |
| 82.0% | #s(approx (/ 1 (/ 1 (+ (* (+ x -1) (log y)) (+ (* (+ z -1) (log (+ 1 (neg y)))) (neg t))))) (*.f64 t (fma.f64 (log.f64 y) (/.f64 (+.f64 #s(literal -1 binary64) x) t) (fma.f64 (log1p.f64 (neg.f64 y)) (/.f64 (+.f64 #s(literal -1 binary64) z) t) #s(literal -1 binary64))))) | |
| 87.4% | #s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (fma.f64 t (/.f64 (fma.f64 (log1p.f64 (neg.f64 y)) (+.f64 #s(literal -1 binary64) z) (*.f64 (log.f64 y) (+.f64 #s(literal -1 binary64) x))) t) (neg.f64 t))) | |
| 0.9% | #s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (/.f64 (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))) (*.f64 t (*.f64 t t))) (*.f64 (*.f64 t (*.f64 t (*.f64 t t))) (/.f64 #s(literal 1 binary64) (*.f64 t t))))) | |
| 1.1% | #s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (/.f64 (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))) (*.f64 t (*.f64 t t))) (*.f64 (*.f64 t (*.f64 t t)) (/.f64 #s(literal 1 binary64) t)))) | |
| 1.1% | #s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (/.f64 (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))) (*.f64 t (*.f64 t t))) (*.f64 t t))) | |
| 1.4% | #s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 t t)) (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 t t))))) | |
| 2.2% | #s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))) (*.f64 t (*.f64 t t)))) (+.f64 #s(literal 0 binary64) (fma.f64 t t (*.f64 #s(literal 0 binary64) t))))) | |
| 3.1% | #s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 t t) (*.f64 t (*.f64 t t)))) (*.f64 t (*.f64 t (*.f64 t t))))) | |
| 4.8% | #s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) (/.f64 (*.f64 t (*.f64 t (*.f64 t t))) (*.f64 t t)))) | |
| 0.9% | #s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) (/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))) #s(literal 0 binary64))) (*.f64 t (*.f64 t (*.f64 t t)))))) | |
| 6.6% | #s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 t t))))) | |
| 6.6% | #s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) (*.f64 t t))) | |
| 0.9% | #s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (*.f64 (*.f64 (*.f64 t (*.f64 t t)) (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t))))) (/.f64 #s(literal 1 binary64) (*.f64 t t))) (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))))) | |
| 0.7% | #s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (*.f64 (*.f64 t (*.f64 t t)) (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t))))) (neg.f64 (*.f64 (*.f64 t t) (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))))))) | |
| 0.7% | #s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))) (*.f64 (*.f64 t t) (*.f64 t (*.f64 t t))))) | |
| 1.7% | #s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))) (neg.f64 (*.f64 (*.f64 t t) (*.f64 t (*.f64 t t)))))) | |
| 1.1% | #s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (*.f64 (neg.f64 (*.f64 t (*.f64 t (*.f64 t (*.f64 t (*.f64 t t)))))) (/.f64 #s(literal 1 binary64) (*.f64 t t))) (*.f64 t (*.f64 t (neg.f64 t))))) | |
| 0.9% | #s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (*.f64 t (*.f64 t (*.f64 t (*.f64 t t)))) (*.f64 t (*.f64 t (*.f64 t t))))) | |
| 1.5% | #s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (*.f64 t (*.f64 t t)) (*.f64 t t))) | |
| 13.4% | #s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (*.f64 t t) (neg.f64 (-.f64 t #s(literal 0 binary64))))) | |
| 2.2% | #s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (*.f64 t t) t)) | |
| 8.9% | #s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (neg.f64 (/.f64 (*.f64 t (*.f64 t t)) t)) t)) | |
| 0.8% | #s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 t (*.f64 t t)) (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t))))) (/.f64 #s(literal 1 binary64) (*.f64 t t)))) (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))))) | |
| 2.2% | #s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))) (/.f64 #s(literal 1 binary64) (*.f64 t t)))) (*.f64 t (*.f64 t t)))) | |
| 2.3% | #s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))) | |
| 1.2% | #s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (*.f64 (/.f64 (*.f64 t (*.f64 t t)) (neg.f64 (*.f64 t (*.f64 t (*.f64 t t))))) (*.f64 t (neg.f64 t)))) | |
| 1.1% | #s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 t t))) (*.f64 t (*.f64 t (*.f64 t t))))) | |
| 1.5% | #s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 t t)) (*.f64 t (*.f64 t t)))) | |
| 2.2% | #s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (*.f64 (/.f64 #s(literal 1 binary64) t) (*.f64 t t))) | |
| 1.2% | #s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (*.f64 (*.f64 t (*.f64 t t)) (/.f64 (*.f64 t (*.f64 t t)) (*.f64 t (*.f64 t (*.f64 t (*.f64 t t))))))) | |
| ✓ | 35.5% | #s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (neg.f64 t)) |
| ✓ | 2.3% | #s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) t) |
Compiled 3 572 to 1 142 computations (68% saved)
| Inputs |
|---|
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) t) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (neg.f64 t)) |
(+.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z #s(approx (log (+ 1 (neg y))) (neg.f64 y)))) t) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 #s(approx (log (+ 1 (neg y))) (neg.f64 y)) z)) t) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* y (- 1 z)) (* (log y) (+ -1 x))) (-.f64 y (*.f64 y z)))) t) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* y (* (+ -1 z) (+ (* y -1/2) -1))) (* (log y) (+ -1 x))) #s(approx (* (* y y) (- (+ (* z -1/2) 1/2) (/ (+ -1 z) y))) (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) y)))) t) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (*.f64 t t) t)) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* y (* (+ -1 z) (+ (* y -1/2) -1))) (* (log y) (+ -1 x))) (*.f64 y (*.f64 y (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) t) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 #s(approx (log (+ 1 (neg y))) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)))) z)) t) |
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(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* y (* (+ -1 z) (+ (* y -1/2) -1))) (* (log y) (+ -1 x))) (neg.f64 (*.f64 (neg.f64 z) (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) (/.f64 (-.f64 (*.f64 (log.f64 y) (+.f64 #s(literal -1 binary64) x)) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)))) z)))))) t) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (fma.f64 y (*.f64 (+.f64 #s(literal -1 binary64) z) (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))) (/.f64 (*.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) (log.f64 y)) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))) t) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* y (* (+ -1 z) (+ (* y -1/2) -1))) (* (log y) (+ -1 x))) (*.f64 (*.f64 y y) (fma.f64 (log.f64 y) (/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 y y)) (-.f64 (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (+.f64 #s(literal -1 binary64) z) y)))))) t) |
(-.f64 (+.f64 (/.f64 (*.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) (log.f64 y)) (+.f64 (fma.f64 x x #s(literal 1 binary64)) x)) (*.f64 (-.f64 z #s(literal 1 binary64)) #s(approx (log (- 1 y)) (*.f64 y (fma.f64 y (fma.f64 y #s(literal -1/3 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)))))) t) |
(-.f64 (+.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y)) (*.f64 (-.f64 z #s(literal 1 binary64)) (log.f64 (-.f64 #s(literal 1 binary64) y)))) t) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (-.f64 (*.f64 t (/.f64 (fma.f64 (log.f64 y) (+.f64 #s(literal -1 binary64) x) (*.f64 (log1p.f64 (neg.f64 y)) (+.f64 #s(literal -1 binary64) z))) t)) t)) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (fma.f64 t (/.f64 (fma.f64 (log1p.f64 (neg.f64 y)) (+.f64 #s(literal -1 binary64) z) (*.f64 (log.f64 y) (+.f64 #s(literal -1 binary64) x))) t) (neg.f64 t))) |
(-.f64 (+.f64 (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) (*.f64 (-.f64 z #s(literal 1 binary64)) (log.f64 (-.f64 #s(literal 1 binary64) y)))) t) |
(-.f64 (+.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (log.f64 y)) (+.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 z #s(literal 1 binary64)) (log.f64 (-.f64 #s(literal 1 binary64) y)))) t) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x #s(literal -1 binary64)) (log.f64 y) (fma.f64 (+.f64 z #s(literal -1 binary64)) (log1p.f64 (neg.f64 y)) (neg.f64 t))))) |
(fma.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (log.f64 y)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (fma.f64 (+.f64 z #s(literal -1 binary64)) (log1p.f64 (neg.f64 y)) (neg.f64 t))) |
(fma.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (log.f64 y)) (fma.f64 (+.f64 z #s(literal -1 binary64)) (log1p.f64 (neg.f64 y)) (neg.f64 t))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (*.f64 t (fma.f64 (log1p.f64 (neg.f64 y)) (/.f64 (+.f64 #s(literal -1 binary64) z) t) (fma.f64 (log.f64 y) (/.f64 (+.f64 #s(literal -1 binary64) x) t) #s(literal -1 binary64))))) |
#s(approx (/ 1 (/ 1 (+ (* (+ x -1) (log y)) (+ (* (+ z -1) (log (+ 1 (neg y)))) (neg t))))) (*.f64 t (fma.f64 (log.f64 y) (/.f64 (+.f64 #s(literal -1 binary64) x) t) (fma.f64 (log1p.f64 (neg.f64 y)) (/.f64 (+.f64 #s(literal -1 binary64) z) t) #s(literal -1 binary64))))) |
#s(approx (/ 1 (/ 1 (+ (* (+ x -1) (log y)) (+ (* (+ z -1) (log (+ 1 (neg y)))) (neg t))))) (*.f64 t (fma.f64 (log1p.f64 (neg.f64 y)) (/.f64 (+.f64 #s(literal -1 binary64) z) t) (fma.f64 (+.f64 #s(literal -1 binary64) x) (/.f64 (log.f64 y) t) #s(literal -1 binary64))))) |
(fma.f64 (*.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) (log.f64 y)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x #s(literal 1 binary64)) x)) (fma.f64 (+.f64 z #s(literal -1 binary64)) (log1p.f64 (neg.f64 y)) (neg.f64 t))) |
(pow.f64 (pow.f64 #s(approx (+ (* (+ x -1) (log y)) (+ (* (+ z -1) (log (+ 1 (neg y)))) (neg t))) (*.f64 x (log.f64 y))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 #s(approx (+ (* (+ x -1) (log y)) (+ (* (+ z -1) (log (+ 1 (neg y)))) (neg t))) (*.f64 x (log.f64 y))) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
(pow.f64 (pow.f64 (fma.f64 (+.f64 z #s(literal -1 binary64)) (log1p.f64 (neg.f64 y)) (fma.f64 (+.f64 x #s(literal -1 binary64)) (log.f64 y) (neg.f64 t))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (fma.f64 (+.f64 z #s(literal -1 binary64)) (log1p.f64 (neg.f64 y)) (fma.f64 (+.f64 x #s(literal -1 binary64)) (log.f64 y) (neg.f64 t))) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ x -1) (log y)) (+ (* (+ z -1) (log (+ 1 (neg y)))) (neg t)))) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (log.f64 y)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (log.f64 y)) (-.f64 (/.f64 t (pow.f64 (log.f64 y) #s(literal 2 binary64))) (/.f64 (*.f64 (log1p.f64 (neg.f64 y)) (+.f64 #s(literal -1 binary64) z)) (pow.f64 (log.f64 y) #s(literal 2 binary64))))) x)) (neg.f64 x)))) |
(/.f64 (fma.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (fma.f64 (+.f64 z #s(literal -1 binary64)) (log1p.f64 (neg.f64 y)) t) #s(literal 2 binary64)) (*.f64 (log1p.f64 (neg.f64 y)) (*.f64 (+.f64 z #s(literal -1 binary64)) t))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 y) (+.f64 x #s(literal -1 binary64)))) (fma.f64 t (*.f64 t t) (pow.f64 (*.f64 (+.f64 z #s(literal -1 binary64)) (log1p.f64 (neg.f64 y))) #s(literal 3 binary64))))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 y) (+.f64 x #s(literal -1 binary64)))) (-.f64 (pow.f64 (fma.f64 (+.f64 z #s(literal -1 binary64)) (log1p.f64 (neg.f64 y)) t) #s(literal 2 binary64)) (*.f64 (log1p.f64 (neg.f64 y)) (*.f64 (+.f64 z #s(literal -1 binary64)) t))))) |
| Outputs |
|---|
(-.f64 (+.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y)) (*.f64 (-.f64 z #s(literal 1 binary64)) #s(approx (log (- 1 y)) (*.f64 y (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))))) t) |
8 calls:
| 84.0ms | (+.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y)) (*.f64 (-.f64 z #s(literal 1 binary64)) (log.f64 (-.f64 #s(literal 1 binary64) y)))) |
| 66.0ms | t |
| 60.0ms | x |
| 47.0ms | (-.f64 (+.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y)) (*.f64 (-.f64 z #s(literal 1 binary64)) (log.f64 (-.f64 #s(literal 1 binary64) y)))) t) |
| 32.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | x |
| 99.8% | 1 | y |
| 99.8% | 1 | z |
| 99.8% | 1 | t |
| 99.8% | 1 | (-.f64 (+.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y)) (*.f64 (-.f64 z #s(literal 1 binary64)) (log.f64 (-.f64 #s(literal 1 binary64) y)))) t) |
| 99.8% | 1 | (+.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y)) (*.f64 (-.f64 z #s(literal 1 binary64)) (log.f64 (-.f64 #s(literal 1 binary64) y)))) |
| 99.8% | 1 | (-.f64 x #s(literal 1 binary64)) |
| 99.8% | 1 | (-.f64 z #s(literal 1 binary64)) |
Compiled 74 to 55 computations (25.7% saved)
| Inputs |
|---|
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) t) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (neg.f64 t)) |
(+.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z #s(approx (log (+ 1 (neg y))) (neg.f64 y)))) t) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 #s(approx (log (+ 1 (neg y))) (neg.f64 y)) z)) t) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* y (- 1 z)) (* (log y) (+ -1 x))) (-.f64 y (*.f64 y z)))) t) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* y (* (+ -1 z) (+ (* y -1/2) -1))) (* (log y) (+ -1 x))) #s(approx (* (* y y) (- (+ (* z -1/2) 1/2) (/ (+ -1 z) y))) (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) y)))) t) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (*.f64 t t) t)) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* y (* (+ -1 z) (+ (* y -1/2) -1))) (* (log y) (+ -1 x))) (*.f64 y (*.f64 y (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) t) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 #s(approx (log (+ 1 (neg y))) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)))) z)) t) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (*.f64 (/.f64 #s(literal 1 binary64) t) (*.f64 t t))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (*.f64 t t) (neg.f64 (-.f64 t #s(literal 0 binary64))))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (+.f64 #s(literal 0 binary64) t))) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* y (* (+ -1 z) (+ (* y -1/2) -1))) (* (log y) (+ -1 x))) #s(approx (* (* y y) (- (+ (* z -1/2) 1/2) (/ (+ -1 z) y))) (*.f64 (+.f64 #s(literal -1 binary64) z) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))))))) t) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ x -1) (log y)) (+ (* (+ z -1) (log (+ 1 (neg y)))) (neg t)))) (/.f64 #s(literal -1 binary64) t))) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 #s(approx (log (+ 1 (neg y))) (*.f64 y (fma.f64 y (fma.f64 y #s(literal -1/3 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) z)) t) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (*.f64 t (*.f64 t t)) (*.f64 t t))) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* y (* (+ -1 z) (+ (* y -1/2) -1))) (* (log y) (+ -1 x))) (*.f64 (*.f64 y y) #s(approx (- (+ (* z -1/2) 1/2) (/ (+ -1 z) y)) (/.f64 (-.f64 #s(literal 1 binary64) z) y))))) t) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) (*.f64 t t))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 t t)) (*.f64 t (*.f64 t t)))) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 #s(approx (log (+ 1 (neg y))) (*.f64 y (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) z)) t) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (neg.f64 (/.f64 (*.f64 t (*.f64 t t)) t)) t)) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* y (* (+ -1 z) (+ (* y -1/2) -1))) (* (log y) (+ -1 x))) (*.f64 (*.f64 y y) (-.f64 (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (+.f64 #s(literal -1 binary64) z) y))))) t) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* y (* (+ -1 z) (+ (* y -1/2) -1))) (* (log y) (+ -1 x))) (*.f64 (*.f64 y (+.f64 #s(literal 1/2 binary64) (fma.f64 z #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) z) y)))) y))) t) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) (+.f64 #s(literal 0 binary64) (fma.f64 t t (*.f64 #s(literal 0 binary64) t))))) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* y (* (+ -1 z) (+ (* y -1/2) -1))) (* (log y) (+ -1 x))) (*.f64 (*.f64 y y) #s(approx (- (+ (* z -1/2) 1/2) (/ (+ -1 z) y)) (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) z) (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))) y))))) t) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 t t))) (*.f64 t (*.f64 t (*.f64 t t))))) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* y (* (+ -1 z) (+ (* y -1/2) -1))) (* (log y) (+ -1 x))) #s(approx (* (* y y) (- (+ (* z -1/2) 1/2) (/ (+ -1 z) y))) (*.f64 z (*.f64 y (+.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) (/.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) (neg.f64 z)))))))) t) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (*.f64 t (*.f64 t (*.f64 t (*.f64 t t)))) (*.f64 t (*.f64 t (*.f64 t t))))) |
(/.f64 (fma.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z #s(approx (log (+ 1 (neg y))) (neg.f64 y)))) #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z #s(approx (log (+ 1 (neg y))) (neg.f64 y)))) (*.f64 t t)) (+.f64 t #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z #s(approx (log (+ 1 (neg y))) (neg.f64 y)))))) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* y (* (+ -1 z) (+ (* y -1/2) -1))) (* (log y) (+ -1 x))) (*.f64 (*.f64 y y) (-.f64 (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (fma.f64 z z #s(literal -1 binary64)) (*.f64 y (+.f64 #s(literal 1 binary64) z))))))) t) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 t t)) (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 t t))))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 t t) (*.f64 t (*.f64 t t)))) (*.f64 t (*.f64 t (*.f64 t t))))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (*.f64 (/.f64 (*.f64 t (*.f64 t t)) (neg.f64 (*.f64 t (*.f64 t (*.f64 t t))))) (*.f64 t (neg.f64 t)))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 t t) (*.f64 t (*.f64 t t))))) (*.f64 t (*.f64 t (*.f64 t t))))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 t t))))) |
(*.f64 (fma.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z #s(approx (log (+ 1 (neg y))) (neg.f64 y)))) #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z #s(approx (log (+ 1 (neg y))) (neg.f64 y)))) (*.f64 t t)) (/.f64 #s(literal 1 binary64) (+.f64 t #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z #s(approx (log (+ 1 (neg y))) (neg.f64 y))))))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) (/.f64 (*.f64 t (*.f64 t (*.f64 t t))) (*.f64 t t)))) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* y (* (+ -1 z) (+ (* y -1/2) -1))) (* (log y) (+ -1 x))) (*.f64 (*.f64 y y) (-.f64 (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(approx (/ (+ -1 z) y) (fma.f64 z (/.f64 #s(literal -1 binary64) (*.f64 y z)) (/.f64 z y))))))) t) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (*.f64 (*.f64 t (*.f64 t t)) (/.f64 (*.f64 t (*.f64 t t)) (*.f64 t (*.f64 t (*.f64 t (*.f64 t t))))))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))) (*.f64 (*.f64 t t) (*.f64 t (*.f64 t t))))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 t t)))) (+.f64 #s(literal 0 binary64) (fma.f64 t t (*.f64 #s(literal 0 binary64) t))))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))) (neg.f64 (*.f64 (*.f64 t t) (*.f64 t (*.f64 t t)))))) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* y (* (+ -1 z) (+ (* y -1/2) -1))) (* (log y) (+ -1 x))) (*.f64 (*.f64 y y) (-.f64 (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (fma.f64 z (*.f64 z z) #s(literal -1 binary64)) (*.f64 y (fma.f64 z (+.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)))))))) t) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (/.f64 (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))) (*.f64 t (*.f64 t t))) (*.f64 t t))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))) (/.f64 #s(literal 1 binary64) (*.f64 t t)))) (*.f64 t (*.f64 t t)))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (*.f64 (neg.f64 (*.f64 t (*.f64 t (*.f64 t (*.f64 t (*.f64 t t)))))) (/.f64 #s(literal 1 binary64) (*.f64 t t))) (*.f64 t (*.f64 t (neg.f64 t))))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (/.f64 (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))) (*.f64 t (*.f64 t t))) (+.f64 #s(literal 0 binary64) (fma.f64 t t (*.f64 #s(literal 0 binary64) t))))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))) (*.f64 t (*.f64 t t)))) (+.f64 #s(literal 0 binary64) (fma.f64 t t (*.f64 #s(literal 0 binary64) t))))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) (/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))) #s(literal 0 binary64))) (*.f64 t (*.f64 t (*.f64 t t)))))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (/.f64 (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))) (*.f64 t (*.f64 t t))) (*.f64 (*.f64 t (*.f64 t t)) (/.f64 #s(literal 1 binary64) t)))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (*.f64 (*.f64 t (*.f64 t t)) (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t))))) (neg.f64 (*.f64 (*.f64 t t) (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))))))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (/.f64 (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))) (*.f64 t (*.f64 t t))) (*.f64 (*.f64 t (*.f64 t (*.f64 t t))) (/.f64 #s(literal 1 binary64) (*.f64 t t))))) |
(*.f64 (fma.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z #s(approx (log (+ 1 (neg y))) (neg.f64 y)))) (*.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z #s(approx (log (+ 1 (neg y))) (neg.f64 y)))) #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z #s(approx (log (+ 1 (neg y))) (neg.f64 y))))) (*.f64 t (*.f64 t t))) (/.f64 #s(literal 1 binary64) (fma.f64 t (+.f64 t #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z #s(approx (log (+ 1 (neg y))) (neg.f64 y))))) (*.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z #s(approx (log (+ 1 (neg y))) (neg.f64 y)))) #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z #s(approx (log (+ 1 (neg y))) (neg.f64 y)))))))) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* y (* (+ -1 z) (+ (* y -1/2) -1))) (* (log y) (+ -1 x))) (*.f64 (*.f64 y y) (/.f64 (-.f64 (*.f64 (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (/.f64 (*.f64 (+.f64 z #s(literal -1 binary64)) (+.f64 z #s(literal -1 binary64))) (*.f64 y y))) (-.f64 (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) z) y)))))) t) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (*.f64 (*.f64 (*.f64 t (*.f64 t t)) (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t))))) (/.f64 #s(literal 1 binary64) (*.f64 t t))) (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 t (*.f64 t t)) (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t))))) (/.f64 #s(literal 1 binary64) (*.f64 t t)))) (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (*.f64 (log.f64 y) x)) |
#s(approx (/ 1 (/ 1 (+ (* (+ x -1) (log y)) (+ (* (+ z -1) (log (+ 1 (neg y)))) (neg t))))) (*.f64 (log.f64 y) x)) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (*.f64 (log1p.f64 (neg.f64 y)) z)) |
#s(approx (/ 1 (/ 1 (+ (* (+ x -1) (log y)) (+ (* (+ z -1) (log (+ 1 (neg y)))) (neg t))))) (*.f64 (log1p.f64 (neg.f64 y)) z)) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 (log.f64 y) x)) t) |
(-.f64 #s(approx (+ (/ (log y) (/ 1 (+ x -1))) (* (- z 1) (log (- 1 y)))) (*.f64 (log.f64 y) x)) t) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 (log1p.f64 (neg.f64 y)) z)) t) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 (log.f64 y) (+.f64 #s(literal -1 binary64) x))) t) |
(-.f64 #s(approx (+ (/ (log y) (/ 1 (+ x -1))) (* (- z 1) (log (- 1 y)))) (*.f64 (log.f64 y) (+.f64 #s(literal -1 binary64) x))) t) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* y (- 1 z)) (* (log y) (+ -1 x))) (fma.f64 (log.f64 y) (+.f64 #s(literal -1 binary64) x) y))) t) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (fma.f64 y (-.f64 #s(literal 1 binary64) z) #s(approx (* (log y) (+ -1 x)) (*.f64 (log.f64 y) x)))) t) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (fma.f64 y (-.f64 #s(literal 1 binary64) z) (*.f64 (log.f64 y) (+.f64 #s(literal -1 binary64) x)))) t) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (fma.f64 y (*.f64 (+.f64 #s(literal -1 binary64) z) (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))) #s(approx (* (log y) (+ -1 x)) (neg.f64 (log.f64 y))))) t) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (+ x -1) (log y)) (+ (* (+ z -1) (log (+ 1 (neg y)))) (neg t))) (*.f64 (log.f64 y) x)))) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* y (- 1 z)) (* (log y) (+ -1 x))) (fma.f64 y (fma.f64 (log.f64 y) (/.f64 (+.f64 #s(literal -1 binary64) x) y) (neg.f64 z)) y))) t) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (fma.f64 y (*.f64 (+.f64 #s(literal -1 binary64) z) (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))) (*.f64 (log.f64 y) (+.f64 #s(literal -1 binary64) x)))) t) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* y (- 1 z)) (* (log y) (+ -1 x))) (*.f64 (-.f64 y (/.f64 (fma.f64 (log.f64 y) (+.f64 #s(literal -1 binary64) x) y) z)) (neg.f64 z)))) t) |
(-.f64 (+.f64 #s(approx (* (- x 1) (log y)) (neg.f64 (log.f64 y))) (*.f64 (-.f64 z #s(literal 1 binary64)) #s(approx (log (- 1 y)) (*.f64 y (fma.f64 y (fma.f64 y #s(literal -1/3 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)))))) t) |
(-.f64 (+.f64 #s(approx (* (- x 1) (log y)) (neg.f64 (log.f64 y))) (*.f64 (-.f64 z #s(literal 1 binary64)) #s(approx (log (- 1 y)) (*.f64 y (fma.f64 y (fma.f64 y #s(approx (+ (* y -1/4) -1/3) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))))) t) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (fma.f64 y (-.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (log.f64 y)) (+.f64 x #s(literal 1 binary64))))) t) |
(fma.f64 (+.f64 z #s(literal -1 binary64)) #s(approx (log (- 1 y)) (*.f64 y (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) (-.f64 #s(approx (* (- x 1) (log y)) (neg.f64 (log.f64 y))) t)) |
(-.f64 (+.f64 #s(approx (* (- x 1) (log y)) (neg.f64 (log.f64 y))) (*.f64 (-.f64 z #s(literal 1 binary64)) #s(approx (log (- 1 y)) (*.f64 y (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))))) t) |
(-.f64 (+.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y)) (*.f64 (-.f64 z #s(literal 1 binary64)) #s(approx (log (- 1 y)) (*.f64 y (fma.f64 y (fma.f64 y #s(literal -1/3 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)))))) t) |
(-.f64 (+.f64 (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) (*.f64 (-.f64 z #s(literal 1 binary64)) #s(approx (log (- 1 y)) (neg.f64 y)))) t) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* y (- 1 z)) (* (log y) (+ -1 x))) (*.f64 z (fma.f64 (log.f64 y) (/.f64 (+.f64 #s(literal -1 binary64) x) z) (-.f64 (/.f64 y z) y))))) t) |
| Outputs |
|---|
(-.f64 (+.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y)) (*.f64 (-.f64 z #s(literal 1 binary64)) #s(approx (log (- 1 y)) (*.f64 y (fma.f64 y (fma.f64 y #s(literal -1/3 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)))))) t) |
8 calls:
| 55.0ms | x |
| 48.0ms | (-.f64 x #s(literal 1 binary64)) |
| 26.0ms | (-.f64 z #s(literal 1 binary64)) |
| 26.0ms | t |
| 25.0ms | (+.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y)) (*.f64 (-.f64 z #s(literal 1 binary64)) (log.f64 (-.f64 #s(literal 1 binary64) y)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.7% | 1 | x |
| 99.7% | 1 | y |
| 99.7% | 1 | z |
| 99.7% | 1 | t |
| 99.7% | 1 | (-.f64 (+.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y)) (*.f64 (-.f64 z #s(literal 1 binary64)) (log.f64 (-.f64 #s(literal 1 binary64) y)))) t) |
| 99.7% | 1 | (+.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y)) (*.f64 (-.f64 z #s(literal 1 binary64)) (log.f64 (-.f64 #s(literal 1 binary64) y)))) |
| 99.7% | 1 | (-.f64 x #s(literal 1 binary64)) |
| 99.7% | 1 | (-.f64 z #s(literal 1 binary64)) |
Compiled 74 to 55 computations (25.7% saved)
| Inputs |
|---|
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) t) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (neg.f64 t)) |
(+.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z #s(approx (log (+ 1 (neg y))) (neg.f64 y)))) t) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 #s(approx (log (+ 1 (neg y))) (neg.f64 y)) z)) t) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* y (- 1 z)) (* (log y) (+ -1 x))) (-.f64 y (*.f64 y z)))) t) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* y (* (+ -1 z) (+ (* y -1/2) -1))) (* (log y) (+ -1 x))) #s(approx (* (* y y) (- (+ (* z -1/2) 1/2) (/ (+ -1 z) y))) (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) y)))) t) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (*.f64 t t) t)) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* y (* (+ -1 z) (+ (* y -1/2) -1))) (* (log y) (+ -1 x))) (*.f64 y (*.f64 y (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) t) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 #s(approx (log (+ 1 (neg y))) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)))) z)) t) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (*.f64 (/.f64 #s(literal 1 binary64) t) (*.f64 t t))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (*.f64 t t) (neg.f64 (-.f64 t #s(literal 0 binary64))))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (+.f64 #s(literal 0 binary64) t))) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* y (* (+ -1 z) (+ (* y -1/2) -1))) (* (log y) (+ -1 x))) #s(approx (* (* y y) (- (+ (* z -1/2) 1/2) (/ (+ -1 z) y))) (*.f64 (+.f64 #s(literal -1 binary64) z) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))))))) t) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ x -1) (log y)) (+ (* (+ z -1) (log (+ 1 (neg y)))) (neg t)))) (/.f64 #s(literal -1 binary64) t))) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 #s(approx (log (+ 1 (neg y))) (*.f64 y (fma.f64 y (fma.f64 y #s(literal -1/3 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) z)) t) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (*.f64 t (*.f64 t t)) (*.f64 t t))) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* y (* (+ -1 z) (+ (* y -1/2) -1))) (* (log y) (+ -1 x))) (*.f64 (*.f64 y y) #s(approx (- (+ (* z -1/2) 1/2) (/ (+ -1 z) y)) (/.f64 (-.f64 #s(literal 1 binary64) z) y))))) t) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) (*.f64 t t))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 t t)) (*.f64 t (*.f64 t t)))) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 #s(approx (log (+ 1 (neg y))) (*.f64 y (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) z)) t) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (neg.f64 (/.f64 (*.f64 t (*.f64 t t)) t)) t)) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* y (* (+ -1 z) (+ (* y -1/2) -1))) (* (log y) (+ -1 x))) (*.f64 (*.f64 y y) (-.f64 (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (+.f64 #s(literal -1 binary64) z) y))))) t) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* y (* (+ -1 z) (+ (* y -1/2) -1))) (* (log y) (+ -1 x))) (*.f64 (*.f64 y (+.f64 #s(literal 1/2 binary64) (fma.f64 z #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) z) y)))) y))) t) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) (+.f64 #s(literal 0 binary64) (fma.f64 t t (*.f64 #s(literal 0 binary64) t))))) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* y (* (+ -1 z) (+ (* y -1/2) -1))) (* (log y) (+ -1 x))) (*.f64 (*.f64 y y) #s(approx (- (+ (* z -1/2) 1/2) (/ (+ -1 z) y)) (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) z) (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))) y))))) t) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 t t))) (*.f64 t (*.f64 t (*.f64 t t))))) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* y (* (+ -1 z) (+ (* y -1/2) -1))) (* (log y) (+ -1 x))) #s(approx (* (* y y) (- (+ (* z -1/2) 1/2) (/ (+ -1 z) y))) (*.f64 z (*.f64 y (+.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) (/.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) (neg.f64 z)))))))) t) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (*.f64 t (*.f64 t (*.f64 t (*.f64 t t)))) (*.f64 t (*.f64 t (*.f64 t t))))) |
(/.f64 (fma.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z #s(approx (log (+ 1 (neg y))) (neg.f64 y)))) #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z #s(approx (log (+ 1 (neg y))) (neg.f64 y)))) (*.f64 t t)) (+.f64 t #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z #s(approx (log (+ 1 (neg y))) (neg.f64 y)))))) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* y (* (+ -1 z) (+ (* y -1/2) -1))) (* (log y) (+ -1 x))) (*.f64 (*.f64 y y) (-.f64 (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (fma.f64 z z #s(literal -1 binary64)) (*.f64 y (+.f64 #s(literal 1 binary64) z))))))) t) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 t t)) (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 t t))))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 t t) (*.f64 t (*.f64 t t)))) (*.f64 t (*.f64 t (*.f64 t t))))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (*.f64 (/.f64 (*.f64 t (*.f64 t t)) (neg.f64 (*.f64 t (*.f64 t (*.f64 t t))))) (*.f64 t (neg.f64 t)))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 t t) (*.f64 t (*.f64 t t))))) (*.f64 t (*.f64 t (*.f64 t t))))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 t t))))) |
(*.f64 (fma.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z #s(approx (log (+ 1 (neg y))) (neg.f64 y)))) #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z #s(approx (log (+ 1 (neg y))) (neg.f64 y)))) (*.f64 t t)) (/.f64 #s(literal 1 binary64) (+.f64 t #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z #s(approx (log (+ 1 (neg y))) (neg.f64 y))))))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) (/.f64 (*.f64 t (*.f64 t (*.f64 t t))) (*.f64 t t)))) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* y (* (+ -1 z) (+ (* y -1/2) -1))) (* (log y) (+ -1 x))) (*.f64 (*.f64 y y) (-.f64 (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(approx (/ (+ -1 z) y) (fma.f64 z (/.f64 #s(literal -1 binary64) (*.f64 y z)) (/.f64 z y))))))) t) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (*.f64 (*.f64 t (*.f64 t t)) (/.f64 (*.f64 t (*.f64 t t)) (*.f64 t (*.f64 t (*.f64 t (*.f64 t t))))))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))) (*.f64 (*.f64 t t) (*.f64 t (*.f64 t t))))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 t t)))) (+.f64 #s(literal 0 binary64) (fma.f64 t t (*.f64 #s(literal 0 binary64) t))))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))) (neg.f64 (*.f64 (*.f64 t t) (*.f64 t (*.f64 t t)))))) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* y (* (+ -1 z) (+ (* y -1/2) -1))) (* (log y) (+ -1 x))) (*.f64 (*.f64 y y) (-.f64 (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (fma.f64 z (*.f64 z z) #s(literal -1 binary64)) (*.f64 y (fma.f64 z (+.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)))))))) t) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (/.f64 (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))) (*.f64 t (*.f64 t t))) (*.f64 t t))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))) (/.f64 #s(literal 1 binary64) (*.f64 t t)))) (*.f64 t (*.f64 t t)))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (*.f64 (neg.f64 (*.f64 t (*.f64 t (*.f64 t (*.f64 t (*.f64 t t)))))) (/.f64 #s(literal 1 binary64) (*.f64 t t))) (*.f64 t (*.f64 t (neg.f64 t))))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (/.f64 (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))) (*.f64 t (*.f64 t t))) (+.f64 #s(literal 0 binary64) (fma.f64 t t (*.f64 #s(literal 0 binary64) t))))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))) (*.f64 t (*.f64 t t)))) (+.f64 #s(literal 0 binary64) (fma.f64 t t (*.f64 #s(literal 0 binary64) t))))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) (/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))) #s(literal 0 binary64))) (*.f64 t (*.f64 t (*.f64 t t)))))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (/.f64 (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))) (*.f64 t (*.f64 t t))) (*.f64 (*.f64 t (*.f64 t t)) (/.f64 #s(literal 1 binary64) t)))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (*.f64 (*.f64 t (*.f64 t t)) (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t))))) (neg.f64 (*.f64 (*.f64 t t) (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))))))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (/.f64 (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))) (*.f64 t (*.f64 t t))) (*.f64 (*.f64 t (*.f64 t (*.f64 t t))) (/.f64 #s(literal 1 binary64) (*.f64 t t))))) |
(*.f64 (fma.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z #s(approx (log (+ 1 (neg y))) (neg.f64 y)))) (*.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z #s(approx (log (+ 1 (neg y))) (neg.f64 y)))) #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z #s(approx (log (+ 1 (neg y))) (neg.f64 y))))) (*.f64 t (*.f64 t t))) (/.f64 #s(literal 1 binary64) (fma.f64 t (+.f64 t #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z #s(approx (log (+ 1 (neg y))) (neg.f64 y))))) (*.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z #s(approx (log (+ 1 (neg y))) (neg.f64 y)))) #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z #s(approx (log (+ 1 (neg y))) (neg.f64 y)))))))) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* y (* (+ -1 z) (+ (* y -1/2) -1))) (* (log y) (+ -1 x))) (*.f64 (*.f64 y y) (/.f64 (-.f64 (*.f64 (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (/.f64 (*.f64 (+.f64 z #s(literal -1 binary64)) (+.f64 z #s(literal -1 binary64))) (*.f64 y y))) (-.f64 (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) z) y)))))) t) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (*.f64 (*.f64 (*.f64 t (*.f64 t t)) (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t))))) (/.f64 #s(literal 1 binary64) (*.f64 t t))) (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 t (*.f64 t t)) (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t))))) (/.f64 #s(literal 1 binary64) (*.f64 t t)))) (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (*.f64 (log.f64 y) x)) |
#s(approx (/ 1 (/ 1 (+ (* (+ x -1) (log y)) (+ (* (+ z -1) (log (+ 1 (neg y)))) (neg t))))) (*.f64 (log.f64 y) x)) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (*.f64 (log1p.f64 (neg.f64 y)) z)) |
#s(approx (/ 1 (/ 1 (+ (* (+ x -1) (log y)) (+ (* (+ z -1) (log (+ 1 (neg y)))) (neg t))))) (*.f64 (log1p.f64 (neg.f64 y)) z)) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 (log.f64 y) x)) t) |
(-.f64 #s(approx (+ (/ (log y) (/ 1 (+ x -1))) (* (- z 1) (log (- 1 y)))) (*.f64 (log.f64 y) x)) t) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 (log1p.f64 (neg.f64 y)) z)) t) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 (log.f64 y) (+.f64 #s(literal -1 binary64) x))) t) |
(-.f64 #s(approx (+ (/ (log y) (/ 1 (+ x -1))) (* (- z 1) (log (- 1 y)))) (*.f64 (log.f64 y) (+.f64 #s(literal -1 binary64) x))) t) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* y (- 1 z)) (* (log y) (+ -1 x))) (fma.f64 (log.f64 y) (+.f64 #s(literal -1 binary64) x) y))) t) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (fma.f64 y (-.f64 #s(literal 1 binary64) z) #s(approx (* (log y) (+ -1 x)) (*.f64 (log.f64 y) x)))) t) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (fma.f64 y (-.f64 #s(literal 1 binary64) z) (*.f64 (log.f64 y) (+.f64 #s(literal -1 binary64) x)))) t) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (fma.f64 y (*.f64 (+.f64 #s(literal -1 binary64) z) (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))) #s(approx (* (log y) (+ -1 x)) (neg.f64 (log.f64 y))))) t) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (+ x -1) (log y)) (+ (* (+ z -1) (log (+ 1 (neg y)))) (neg t))) (*.f64 (log.f64 y) x)))) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* y (- 1 z)) (* (log y) (+ -1 x))) (fma.f64 y (fma.f64 (log.f64 y) (/.f64 (+.f64 #s(literal -1 binary64) x) y) (neg.f64 z)) y))) t) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (fma.f64 y (*.f64 (+.f64 #s(literal -1 binary64) z) (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))) (*.f64 (log.f64 y) (+.f64 #s(literal -1 binary64) x)))) t) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* y (- 1 z)) (* (log y) (+ -1 x))) (*.f64 (-.f64 y (/.f64 (fma.f64 (log.f64 y) (+.f64 #s(literal -1 binary64) x) y) z)) (neg.f64 z)))) t) |
(-.f64 (+.f64 #s(approx (* (- x 1) (log y)) (neg.f64 (log.f64 y))) (*.f64 (-.f64 z #s(literal 1 binary64)) #s(approx (log (- 1 y)) (*.f64 y (fma.f64 y (fma.f64 y #s(literal -1/3 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)))))) t) |
(-.f64 (+.f64 #s(approx (* (- x 1) (log y)) (neg.f64 (log.f64 y))) (*.f64 (-.f64 z #s(literal 1 binary64)) #s(approx (log (- 1 y)) (*.f64 y (fma.f64 y (fma.f64 y #s(approx (+ (* y -1/4) -1/3) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))))) t) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (fma.f64 y (-.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (log.f64 y)) (+.f64 x #s(literal 1 binary64))))) t) |
(fma.f64 (+.f64 z #s(literal -1 binary64)) #s(approx (log (- 1 y)) (*.f64 y (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) (-.f64 #s(approx (* (- x 1) (log y)) (neg.f64 (log.f64 y))) t)) |
(-.f64 (+.f64 #s(approx (* (- x 1) (log y)) (neg.f64 (log.f64 y))) (*.f64 (-.f64 z #s(literal 1 binary64)) #s(approx (log (- 1 y)) (*.f64 y (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))))) t) |
| Outputs |
|---|
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (fma.f64 y (*.f64 (+.f64 #s(literal -1 binary64) z) (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))) (*.f64 (log.f64 y) (+.f64 #s(literal -1 binary64) x)))) t) |
8 calls:
| 26.0ms | (-.f64 z #s(literal 1 binary64)) |
| 25.0ms | (+.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y)) (*.f64 (-.f64 z #s(literal 1 binary64)) (log.f64 (-.f64 #s(literal 1 binary64) y)))) |
| 25.0ms | t |
| 24.0ms | y |
| 24.0ms | (-.f64 (+.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y)) (*.f64 (-.f64 z #s(literal 1 binary64)) (log.f64 (-.f64 #s(literal 1 binary64) y)))) t) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.7% | 1 | x |
| 99.7% | 1 | y |
| 99.7% | 1 | z |
| 99.7% | 1 | t |
| 99.7% | 1 | (-.f64 (+.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y)) (*.f64 (-.f64 z #s(literal 1 binary64)) (log.f64 (-.f64 #s(literal 1 binary64) y)))) t) |
| 99.7% | 1 | (+.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y)) (*.f64 (-.f64 z #s(literal 1 binary64)) (log.f64 (-.f64 #s(literal 1 binary64) y)))) |
| 99.7% | 1 | (-.f64 x #s(literal 1 binary64)) |
| 99.7% | 1 | (-.f64 z #s(literal 1 binary64)) |
Compiled 74 to 55 computations (25.7% saved)
| Inputs |
|---|
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) t) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (neg.f64 t)) |
(+.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z #s(approx (log (+ 1 (neg y))) (neg.f64 y)))) t) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 #s(approx (log (+ 1 (neg y))) (neg.f64 y)) z)) t) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* y (- 1 z)) (* (log y) (+ -1 x))) (-.f64 y (*.f64 y z)))) t) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* y (* (+ -1 z) (+ (* y -1/2) -1))) (* (log y) (+ -1 x))) #s(approx (* (* y y) (- (+ (* z -1/2) 1/2) (/ (+ -1 z) y))) (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) y)))) t) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (*.f64 t t) t)) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* y (* (+ -1 z) (+ (* y -1/2) -1))) (* (log y) (+ -1 x))) (*.f64 y (*.f64 y (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) t) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 #s(approx (log (+ 1 (neg y))) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)))) z)) t) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (*.f64 (/.f64 #s(literal 1 binary64) t) (*.f64 t t))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (*.f64 t t) (neg.f64 (-.f64 t #s(literal 0 binary64))))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (+.f64 #s(literal 0 binary64) t))) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* y (* (+ -1 z) (+ (* y -1/2) -1))) (* (log y) (+ -1 x))) #s(approx (* (* y y) (- (+ (* z -1/2) 1/2) (/ (+ -1 z) y))) (*.f64 (+.f64 #s(literal -1 binary64) z) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))))))) t) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ x -1) (log y)) (+ (* (+ z -1) (log (+ 1 (neg y)))) (neg t)))) (/.f64 #s(literal -1 binary64) t))) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 #s(approx (log (+ 1 (neg y))) (*.f64 y (fma.f64 y (fma.f64 y #s(literal -1/3 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) z)) t) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (*.f64 t (*.f64 t t)) (*.f64 t t))) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* y (* (+ -1 z) (+ (* y -1/2) -1))) (* (log y) (+ -1 x))) (*.f64 (*.f64 y y) #s(approx (- (+ (* z -1/2) 1/2) (/ (+ -1 z) y)) (/.f64 (-.f64 #s(literal 1 binary64) z) y))))) t) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) (*.f64 t t))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 t t)) (*.f64 t (*.f64 t t)))) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 #s(approx (log (+ 1 (neg y))) (*.f64 y (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) z)) t) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (neg.f64 (/.f64 (*.f64 t (*.f64 t t)) t)) t)) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* y (* (+ -1 z) (+ (* y -1/2) -1))) (* (log y) (+ -1 x))) (*.f64 (*.f64 y y) (-.f64 (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (+.f64 #s(literal -1 binary64) z) y))))) t) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* y (* (+ -1 z) (+ (* y -1/2) -1))) (* (log y) (+ -1 x))) (*.f64 (*.f64 y (+.f64 #s(literal 1/2 binary64) (fma.f64 z #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) z) y)))) y))) t) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) (+.f64 #s(literal 0 binary64) (fma.f64 t t (*.f64 #s(literal 0 binary64) t))))) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* y (* (+ -1 z) (+ (* y -1/2) -1))) (* (log y) (+ -1 x))) (*.f64 (*.f64 y y) #s(approx (- (+ (* z -1/2) 1/2) (/ (+ -1 z) y)) (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) z) (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))) y))))) t) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 t t))) (*.f64 t (*.f64 t (*.f64 t t))))) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* y (* (+ -1 z) (+ (* y -1/2) -1))) (* (log y) (+ -1 x))) #s(approx (* (* y y) (- (+ (* z -1/2) 1/2) (/ (+ -1 z) y))) (*.f64 z (*.f64 y (+.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) (/.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) (neg.f64 z)))))))) t) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (*.f64 t (*.f64 t (*.f64 t (*.f64 t t)))) (*.f64 t (*.f64 t (*.f64 t t))))) |
(/.f64 (fma.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z #s(approx (log (+ 1 (neg y))) (neg.f64 y)))) #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z #s(approx (log (+ 1 (neg y))) (neg.f64 y)))) (*.f64 t t)) (+.f64 t #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z #s(approx (log (+ 1 (neg y))) (neg.f64 y)))))) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* y (* (+ -1 z) (+ (* y -1/2) -1))) (* (log y) (+ -1 x))) (*.f64 (*.f64 y y) (-.f64 (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (fma.f64 z z #s(literal -1 binary64)) (*.f64 y (+.f64 #s(literal 1 binary64) z))))))) t) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 t t)) (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 t t))))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 t t) (*.f64 t (*.f64 t t)))) (*.f64 t (*.f64 t (*.f64 t t))))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (*.f64 (/.f64 (*.f64 t (*.f64 t t)) (neg.f64 (*.f64 t (*.f64 t (*.f64 t t))))) (*.f64 t (neg.f64 t)))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 t t) (*.f64 t (*.f64 t t))))) (*.f64 t (*.f64 t (*.f64 t t))))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 t t))))) |
(*.f64 (fma.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z #s(approx (log (+ 1 (neg y))) (neg.f64 y)))) #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z #s(approx (log (+ 1 (neg y))) (neg.f64 y)))) (*.f64 t t)) (/.f64 #s(literal 1 binary64) (+.f64 t #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z #s(approx (log (+ 1 (neg y))) (neg.f64 y))))))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) (/.f64 (*.f64 t (*.f64 t (*.f64 t t))) (*.f64 t t)))) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* y (* (+ -1 z) (+ (* y -1/2) -1))) (* (log y) (+ -1 x))) (*.f64 (*.f64 y y) (-.f64 (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(approx (/ (+ -1 z) y) (fma.f64 z (/.f64 #s(literal -1 binary64) (*.f64 y z)) (/.f64 z y))))))) t) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (*.f64 (*.f64 t (*.f64 t t)) (/.f64 (*.f64 t (*.f64 t t)) (*.f64 t (*.f64 t (*.f64 t (*.f64 t t))))))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))) (*.f64 (*.f64 t t) (*.f64 t (*.f64 t t))))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 t t)))) (+.f64 #s(literal 0 binary64) (fma.f64 t t (*.f64 #s(literal 0 binary64) t))))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))) (neg.f64 (*.f64 (*.f64 t t) (*.f64 t (*.f64 t t)))))) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* y (* (+ -1 z) (+ (* y -1/2) -1))) (* (log y) (+ -1 x))) (*.f64 (*.f64 y y) (-.f64 (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (fma.f64 z (*.f64 z z) #s(literal -1 binary64)) (*.f64 y (fma.f64 z (+.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)))))))) t) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (/.f64 (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))) (*.f64 t (*.f64 t t))) (*.f64 t t))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))) (/.f64 #s(literal 1 binary64) (*.f64 t t)))) (*.f64 t (*.f64 t t)))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (*.f64 (neg.f64 (*.f64 t (*.f64 t (*.f64 t (*.f64 t (*.f64 t t)))))) (/.f64 #s(literal 1 binary64) (*.f64 t t))) (*.f64 t (*.f64 t (neg.f64 t))))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (/.f64 (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))) (*.f64 t (*.f64 t t))) (+.f64 #s(literal 0 binary64) (fma.f64 t t (*.f64 #s(literal 0 binary64) t))))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))) (*.f64 t (*.f64 t t)))) (+.f64 #s(literal 0 binary64) (fma.f64 t t (*.f64 #s(literal 0 binary64) t))))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) (/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))) #s(literal 0 binary64))) (*.f64 t (*.f64 t (*.f64 t t)))))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (/.f64 (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))) (*.f64 t (*.f64 t t))) (*.f64 (*.f64 t (*.f64 t t)) (/.f64 #s(literal 1 binary64) t)))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (*.f64 (*.f64 t (*.f64 t t)) (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t))))) (neg.f64 (*.f64 (*.f64 t t) (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))))))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (/.f64 (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))) (*.f64 t (*.f64 t t))) (*.f64 (*.f64 t (*.f64 t (*.f64 t t))) (/.f64 #s(literal 1 binary64) (*.f64 t t))))) |
(*.f64 (fma.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z #s(approx (log (+ 1 (neg y))) (neg.f64 y)))) (*.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z #s(approx (log (+ 1 (neg y))) (neg.f64 y)))) #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z #s(approx (log (+ 1 (neg y))) (neg.f64 y))))) (*.f64 t (*.f64 t t))) (/.f64 #s(literal 1 binary64) (fma.f64 t (+.f64 t #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z #s(approx (log (+ 1 (neg y))) (neg.f64 y))))) (*.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z #s(approx (log (+ 1 (neg y))) (neg.f64 y)))) #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z #s(approx (log (+ 1 (neg y))) (neg.f64 y)))))))) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* y (* (+ -1 z) (+ (* y -1/2) -1))) (* (log y) (+ -1 x))) (*.f64 (*.f64 y y) (/.f64 (-.f64 (*.f64 (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (/.f64 (*.f64 (+.f64 z #s(literal -1 binary64)) (+.f64 z #s(literal -1 binary64))) (*.f64 y y))) (-.f64 (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) z) y)))))) t) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (*.f64 (*.f64 (*.f64 t (*.f64 t t)) (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t))))) (/.f64 #s(literal 1 binary64) (*.f64 t t))) (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 t (*.f64 t t)) (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t))))) (/.f64 #s(literal 1 binary64) (*.f64 t t)))) (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (*.f64 (log.f64 y) x)) |
#s(approx (/ 1 (/ 1 (+ (* (+ x -1) (log y)) (+ (* (+ z -1) (log (+ 1 (neg y)))) (neg t))))) (*.f64 (log.f64 y) x)) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (*.f64 (log1p.f64 (neg.f64 y)) z)) |
#s(approx (/ 1 (/ 1 (+ (* (+ x -1) (log y)) (+ (* (+ z -1) (log (+ 1 (neg y)))) (neg t))))) (*.f64 (log1p.f64 (neg.f64 y)) z)) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 (log.f64 y) x)) t) |
(-.f64 #s(approx (+ (/ (log y) (/ 1 (+ x -1))) (* (- z 1) (log (- 1 y)))) (*.f64 (log.f64 y) x)) t) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 (log1p.f64 (neg.f64 y)) z)) t) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 (log.f64 y) (+.f64 #s(literal -1 binary64) x))) t) |
(-.f64 #s(approx (+ (/ (log y) (/ 1 (+ x -1))) (* (- z 1) (log (- 1 y)))) (*.f64 (log.f64 y) (+.f64 #s(literal -1 binary64) x))) t) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* y (- 1 z)) (* (log y) (+ -1 x))) (fma.f64 (log.f64 y) (+.f64 #s(literal -1 binary64) x) y))) t) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (fma.f64 y (-.f64 #s(literal 1 binary64) z) #s(approx (* (log y) (+ -1 x)) (*.f64 (log.f64 y) x)))) t) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (fma.f64 y (-.f64 #s(literal 1 binary64) z) (*.f64 (log.f64 y) (+.f64 #s(literal -1 binary64) x)))) t) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (fma.f64 y (*.f64 (+.f64 #s(literal -1 binary64) z) (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))) #s(approx (* (log y) (+ -1 x)) (neg.f64 (log.f64 y))))) t) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (+ x -1) (log y)) (+ (* (+ z -1) (log (+ 1 (neg y)))) (neg t))) (*.f64 (log.f64 y) x)))) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* y (- 1 z)) (* (log y) (+ -1 x))) (fma.f64 y (fma.f64 (log.f64 y) (/.f64 (+.f64 #s(literal -1 binary64) x) y) (neg.f64 z)) y))) t) |
| Outputs |
|---|
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (fma.f64 y (-.f64 #s(literal 1 binary64) z) (*.f64 (log.f64 y) (+.f64 #s(literal -1 binary64) x)))) t) |
8 calls:
| 49.0ms | (+.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y)) (*.f64 (-.f64 z #s(literal 1 binary64)) (log.f64 (-.f64 #s(literal 1 binary64) y)))) |
| 33.0ms | x |
| 29.0ms | (-.f64 (+.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y)) (*.f64 (-.f64 z #s(literal 1 binary64)) (log.f64 (-.f64 #s(literal 1 binary64) y)))) t) |
| 24.0ms | z |
| 22.0ms | (-.f64 x #s(literal 1 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.6% | 1 | x |
| 99.6% | 1 | y |
| 99.6% | 1 | z |
| 99.6% | 1 | t |
| 99.6% | 1 | (-.f64 (+.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y)) (*.f64 (-.f64 z #s(literal 1 binary64)) (log.f64 (-.f64 #s(literal 1 binary64) y)))) t) |
| 99.6% | 1 | (+.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y)) (*.f64 (-.f64 z #s(literal 1 binary64)) (log.f64 (-.f64 #s(literal 1 binary64) y)))) |
| 99.6% | 1 | (-.f64 x #s(literal 1 binary64)) |
| 99.6% | 1 | (-.f64 z #s(literal 1 binary64)) |
Compiled 74 to 55 computations (25.7% saved)
| Inputs |
|---|
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) t) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (neg.f64 t)) |
(+.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z #s(approx (log (+ 1 (neg y))) (neg.f64 y)))) t) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 #s(approx (log (+ 1 (neg y))) (neg.f64 y)) z)) t) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* y (- 1 z)) (* (log y) (+ -1 x))) (-.f64 y (*.f64 y z)))) t) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* y (* (+ -1 z) (+ (* y -1/2) -1))) (* (log y) (+ -1 x))) #s(approx (* (* y y) (- (+ (* z -1/2) 1/2) (/ (+ -1 z) y))) (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) y)))) t) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (*.f64 t t) t)) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* y (* (+ -1 z) (+ (* y -1/2) -1))) (* (log y) (+ -1 x))) (*.f64 y (*.f64 y (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) t) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 #s(approx (log (+ 1 (neg y))) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)))) z)) t) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (*.f64 (/.f64 #s(literal 1 binary64) t) (*.f64 t t))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (*.f64 t t) (neg.f64 (-.f64 t #s(literal 0 binary64))))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (+.f64 #s(literal 0 binary64) t))) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* y (* (+ -1 z) (+ (* y -1/2) -1))) (* (log y) (+ -1 x))) #s(approx (* (* y y) (- (+ (* z -1/2) 1/2) (/ (+ -1 z) y))) (*.f64 (+.f64 #s(literal -1 binary64) z) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))))))) t) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ x -1) (log y)) (+ (* (+ z -1) (log (+ 1 (neg y)))) (neg t)))) (/.f64 #s(literal -1 binary64) t))) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 #s(approx (log (+ 1 (neg y))) (*.f64 y (fma.f64 y (fma.f64 y #s(literal -1/3 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) z)) t) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (*.f64 t (*.f64 t t)) (*.f64 t t))) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* y (* (+ -1 z) (+ (* y -1/2) -1))) (* (log y) (+ -1 x))) (*.f64 (*.f64 y y) #s(approx (- (+ (* z -1/2) 1/2) (/ (+ -1 z) y)) (/.f64 (-.f64 #s(literal 1 binary64) z) y))))) t) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) (*.f64 t t))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 t t)) (*.f64 t (*.f64 t t)))) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 #s(approx (log (+ 1 (neg y))) (*.f64 y (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) z)) t) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (neg.f64 (/.f64 (*.f64 t (*.f64 t t)) t)) t)) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* y (* (+ -1 z) (+ (* y -1/2) -1))) (* (log y) (+ -1 x))) (*.f64 (*.f64 y y) (-.f64 (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (+.f64 #s(literal -1 binary64) z) y))))) t) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* y (* (+ -1 z) (+ (* y -1/2) -1))) (* (log y) (+ -1 x))) (*.f64 (*.f64 y (+.f64 #s(literal 1/2 binary64) (fma.f64 z #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) z) y)))) y))) t) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) (+.f64 #s(literal 0 binary64) (fma.f64 t t (*.f64 #s(literal 0 binary64) t))))) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* y (* (+ -1 z) (+ (* y -1/2) -1))) (* (log y) (+ -1 x))) (*.f64 (*.f64 y y) #s(approx (- (+ (* z -1/2) 1/2) (/ (+ -1 z) y)) (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) z) (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))) y))))) t) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 t t))) (*.f64 t (*.f64 t (*.f64 t t))))) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* y (* (+ -1 z) (+ (* y -1/2) -1))) (* (log y) (+ -1 x))) #s(approx (* (* y y) (- (+ (* z -1/2) 1/2) (/ (+ -1 z) y))) (*.f64 z (*.f64 y (+.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) (/.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) (neg.f64 z)))))))) t) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (*.f64 t (*.f64 t (*.f64 t (*.f64 t t)))) (*.f64 t (*.f64 t (*.f64 t t))))) |
(/.f64 (fma.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z #s(approx (log (+ 1 (neg y))) (neg.f64 y)))) #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z #s(approx (log (+ 1 (neg y))) (neg.f64 y)))) (*.f64 t t)) (+.f64 t #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z #s(approx (log (+ 1 (neg y))) (neg.f64 y)))))) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* y (* (+ -1 z) (+ (* y -1/2) -1))) (* (log y) (+ -1 x))) (*.f64 (*.f64 y y) (-.f64 (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (fma.f64 z z #s(literal -1 binary64)) (*.f64 y (+.f64 #s(literal 1 binary64) z))))))) t) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 t t)) (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 t t))))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 t t) (*.f64 t (*.f64 t t)))) (*.f64 t (*.f64 t (*.f64 t t))))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (*.f64 (/.f64 (*.f64 t (*.f64 t t)) (neg.f64 (*.f64 t (*.f64 t (*.f64 t t))))) (*.f64 t (neg.f64 t)))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 t t) (*.f64 t (*.f64 t t))))) (*.f64 t (*.f64 t (*.f64 t t))))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 t t))))) |
(*.f64 (fma.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z #s(approx (log (+ 1 (neg y))) (neg.f64 y)))) #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z #s(approx (log (+ 1 (neg y))) (neg.f64 y)))) (*.f64 t t)) (/.f64 #s(literal 1 binary64) (+.f64 t #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z #s(approx (log (+ 1 (neg y))) (neg.f64 y))))))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) (/.f64 (*.f64 t (*.f64 t (*.f64 t t))) (*.f64 t t)))) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* y (* (+ -1 z) (+ (* y -1/2) -1))) (* (log y) (+ -1 x))) (*.f64 (*.f64 y y) (-.f64 (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(approx (/ (+ -1 z) y) (fma.f64 z (/.f64 #s(literal -1 binary64) (*.f64 y z)) (/.f64 z y))))))) t) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (*.f64 (*.f64 t (*.f64 t t)) (/.f64 (*.f64 t (*.f64 t t)) (*.f64 t (*.f64 t (*.f64 t (*.f64 t t))))))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))) (*.f64 (*.f64 t t) (*.f64 t (*.f64 t t))))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 t t)))) (+.f64 #s(literal 0 binary64) (fma.f64 t t (*.f64 #s(literal 0 binary64) t))))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))) (neg.f64 (*.f64 (*.f64 t t) (*.f64 t (*.f64 t t)))))) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* y (* (+ -1 z) (+ (* y -1/2) -1))) (* (log y) (+ -1 x))) (*.f64 (*.f64 y y) (-.f64 (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (fma.f64 z (*.f64 z z) #s(literal -1 binary64)) (*.f64 y (fma.f64 z (+.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)))))))) t) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (/.f64 (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))) (*.f64 t (*.f64 t t))) (*.f64 t t))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))) (/.f64 #s(literal 1 binary64) (*.f64 t t)))) (*.f64 t (*.f64 t t)))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (*.f64 (neg.f64 (*.f64 t (*.f64 t (*.f64 t (*.f64 t (*.f64 t t)))))) (/.f64 #s(literal 1 binary64) (*.f64 t t))) (*.f64 t (*.f64 t (neg.f64 t))))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (/.f64 (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))) (*.f64 t (*.f64 t t))) (+.f64 #s(literal 0 binary64) (fma.f64 t t (*.f64 #s(literal 0 binary64) t))))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))) (*.f64 t (*.f64 t t)))) (+.f64 #s(literal 0 binary64) (fma.f64 t t (*.f64 #s(literal 0 binary64) t))))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) (/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))) #s(literal 0 binary64))) (*.f64 t (*.f64 t (*.f64 t t)))))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (/.f64 (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))) (*.f64 t (*.f64 t t))) (*.f64 (*.f64 t (*.f64 t t)) (/.f64 #s(literal 1 binary64) t)))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (*.f64 (*.f64 t (*.f64 t t)) (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t))))) (neg.f64 (*.f64 (*.f64 t t) (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))))))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (/.f64 (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))) (*.f64 t (*.f64 t t))) (*.f64 (*.f64 t (*.f64 t (*.f64 t t))) (/.f64 #s(literal 1 binary64) (*.f64 t t))))) |
(*.f64 (fma.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z #s(approx (log (+ 1 (neg y))) (neg.f64 y)))) (*.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z #s(approx (log (+ 1 (neg y))) (neg.f64 y)))) #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z #s(approx (log (+ 1 (neg y))) (neg.f64 y))))) (*.f64 t (*.f64 t t))) (/.f64 #s(literal 1 binary64) (fma.f64 t (+.f64 t #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z #s(approx (log (+ 1 (neg y))) (neg.f64 y))))) (*.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z #s(approx (log (+ 1 (neg y))) (neg.f64 y)))) #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z #s(approx (log (+ 1 (neg y))) (neg.f64 y)))))))) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* y (* (+ -1 z) (+ (* y -1/2) -1))) (* (log y) (+ -1 x))) (*.f64 (*.f64 y y) (/.f64 (-.f64 (*.f64 (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (/.f64 (*.f64 (+.f64 z #s(literal -1 binary64)) (+.f64 z #s(literal -1 binary64))) (*.f64 y y))) (-.f64 (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) z) y)))))) t) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (*.f64 (*.f64 (*.f64 t (*.f64 t t)) (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t))))) (/.f64 #s(literal 1 binary64) (*.f64 t t))) (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 t (*.f64 t t)) (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t))))) (/.f64 #s(literal 1 binary64) (*.f64 t t)))) (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (*.f64 (log.f64 y) x)) |
#s(approx (/ 1 (/ 1 (+ (* (+ x -1) (log y)) (+ (* (+ z -1) (log (+ 1 (neg y)))) (neg t))))) (*.f64 (log.f64 y) x)) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (*.f64 (log1p.f64 (neg.f64 y)) z)) |
#s(approx (/ 1 (/ 1 (+ (* (+ x -1) (log y)) (+ (* (+ z -1) (log (+ 1 (neg y)))) (neg t))))) (*.f64 (log1p.f64 (neg.f64 y)) z)) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 (log.f64 y) x)) t) |
(-.f64 #s(approx (+ (/ (log y) (/ 1 (+ x -1))) (* (- z 1) (log (- 1 y)))) (*.f64 (log.f64 y) x)) t) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 (log1p.f64 (neg.f64 y)) z)) t) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 (log.f64 y) (+.f64 #s(literal -1 binary64) x))) t) |
(-.f64 #s(approx (+ (/ (log y) (/ 1 (+ x -1))) (* (- z 1) (log (- 1 y)))) (*.f64 (log.f64 y) (+.f64 #s(literal -1 binary64) x))) t) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* y (- 1 z)) (* (log y) (+ -1 x))) (fma.f64 (log.f64 y) (+.f64 #s(literal -1 binary64) x) y))) t) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (fma.f64 y (-.f64 #s(literal 1 binary64) z) #s(approx (* (log y) (+ -1 x)) (*.f64 (log.f64 y) x)))) t) |
| Outputs |
|---|
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (fma.f64 y (-.f64 #s(literal 1 binary64) z) #s(approx (* (log y) (+ -1 x)) (*.f64 (log.f64 y) x)))) t) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* y (- 1 z)) (* (log y) (+ -1 x))) (fma.f64 (log.f64 y) (+.f64 #s(literal -1 binary64) x) y))) t) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (fma.f64 y (-.f64 #s(literal 1 binary64) z) #s(approx (* (log y) (+ -1 x)) (*.f64 (log.f64 y) x)))) t) |
8 calls:
| 27.0ms | (-.f64 (+.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y)) (*.f64 (-.f64 z #s(literal 1 binary64)) (log.f64 (-.f64 #s(literal 1 binary64) y)))) t) |
| 25.0ms | z |
| 20.0ms | x |
| 19.0ms | (-.f64 x #s(literal 1 binary64)) |
| 19.0ms | (+.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y)) (*.f64 (-.f64 z #s(literal 1 binary64)) (log.f64 (-.f64 #s(literal 1 binary64) y)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.8% | 2 | x |
| 91.2% | 1 | y |
| 97.8% | 3 | z |
| 91.2% | 1 | t |
| 91.2% | 1 | (-.f64 (+.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y)) (*.f64 (-.f64 z #s(literal 1 binary64)) (log.f64 (-.f64 #s(literal 1 binary64) y)))) t) |
| 91.2% | 1 | (+.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y)) (*.f64 (-.f64 z #s(literal 1 binary64)) (log.f64 (-.f64 #s(literal 1 binary64) y)))) |
| 92.8% | 2 | (-.f64 x #s(literal 1 binary64)) |
| 97.8% | 3 | (-.f64 z #s(literal 1 binary64)) |
Compiled 74 to 55 computations (25.7% saved)
| Inputs |
|---|
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) t) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (neg.f64 t)) |
(+.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z #s(approx (log (+ 1 (neg y))) (neg.f64 y)))) t) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 #s(approx (log (+ 1 (neg y))) (neg.f64 y)) z)) t) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* y (- 1 z)) (* (log y) (+ -1 x))) (-.f64 y (*.f64 y z)))) t) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* y (* (+ -1 z) (+ (* y -1/2) -1))) (* (log y) (+ -1 x))) #s(approx (* (* y y) (- (+ (* z -1/2) 1/2) (/ (+ -1 z) y))) (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) y)))) t) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (*.f64 t t) t)) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* y (* (+ -1 z) (+ (* y -1/2) -1))) (* (log y) (+ -1 x))) (*.f64 y (*.f64 y (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) t) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 #s(approx (log (+ 1 (neg y))) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)))) z)) t) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (*.f64 (/.f64 #s(literal 1 binary64) t) (*.f64 t t))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (*.f64 t t) (neg.f64 (-.f64 t #s(literal 0 binary64))))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (+.f64 #s(literal 0 binary64) t))) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* y (* (+ -1 z) (+ (* y -1/2) -1))) (* (log y) (+ -1 x))) #s(approx (* (* y y) (- (+ (* z -1/2) 1/2) (/ (+ -1 z) y))) (*.f64 (+.f64 #s(literal -1 binary64) z) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))))))) t) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ x -1) (log y)) (+ (* (+ z -1) (log (+ 1 (neg y)))) (neg t)))) (/.f64 #s(literal -1 binary64) t))) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 #s(approx (log (+ 1 (neg y))) (*.f64 y (fma.f64 y (fma.f64 y #s(literal -1/3 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) z)) t) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (*.f64 t (*.f64 t t)) (*.f64 t t))) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* y (* (+ -1 z) (+ (* y -1/2) -1))) (* (log y) (+ -1 x))) (*.f64 (*.f64 y y) #s(approx (- (+ (* z -1/2) 1/2) (/ (+ -1 z) y)) (/.f64 (-.f64 #s(literal 1 binary64) z) y))))) t) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) (*.f64 t t))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 t t)) (*.f64 t (*.f64 t t)))) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 #s(approx (log (+ 1 (neg y))) (*.f64 y (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) z)) t) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (neg.f64 (/.f64 (*.f64 t (*.f64 t t)) t)) t)) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* y (* (+ -1 z) (+ (* y -1/2) -1))) (* (log y) (+ -1 x))) (*.f64 (*.f64 y y) (-.f64 (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (+.f64 #s(literal -1 binary64) z) y))))) t) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* y (* (+ -1 z) (+ (* y -1/2) -1))) (* (log y) (+ -1 x))) (*.f64 (*.f64 y (+.f64 #s(literal 1/2 binary64) (fma.f64 z #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) z) y)))) y))) t) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) (+.f64 #s(literal 0 binary64) (fma.f64 t t (*.f64 #s(literal 0 binary64) t))))) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* y (* (+ -1 z) (+ (* y -1/2) -1))) (* (log y) (+ -1 x))) (*.f64 (*.f64 y y) #s(approx (- (+ (* z -1/2) 1/2) (/ (+ -1 z) y)) (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) z) (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))) y))))) t) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 t t))) (*.f64 t (*.f64 t (*.f64 t t))))) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* y (* (+ -1 z) (+ (* y -1/2) -1))) (* (log y) (+ -1 x))) #s(approx (* (* y y) (- (+ (* z -1/2) 1/2) (/ (+ -1 z) y))) (*.f64 z (*.f64 y (+.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) (/.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) (neg.f64 z)))))))) t) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (*.f64 t (*.f64 t (*.f64 t (*.f64 t t)))) (*.f64 t (*.f64 t (*.f64 t t))))) |
(/.f64 (fma.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z #s(approx (log (+ 1 (neg y))) (neg.f64 y)))) #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z #s(approx (log (+ 1 (neg y))) (neg.f64 y)))) (*.f64 t t)) (+.f64 t #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z #s(approx (log (+ 1 (neg y))) (neg.f64 y)))))) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* y (* (+ -1 z) (+ (* y -1/2) -1))) (* (log y) (+ -1 x))) (*.f64 (*.f64 y y) (-.f64 (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (fma.f64 z z #s(literal -1 binary64)) (*.f64 y (+.f64 #s(literal 1 binary64) z))))))) t) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 t t)) (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 t t))))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 t t) (*.f64 t (*.f64 t t)))) (*.f64 t (*.f64 t (*.f64 t t))))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (*.f64 (/.f64 (*.f64 t (*.f64 t t)) (neg.f64 (*.f64 t (*.f64 t (*.f64 t t))))) (*.f64 t (neg.f64 t)))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 t t) (*.f64 t (*.f64 t t))))) (*.f64 t (*.f64 t (*.f64 t t))))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 t t))))) |
(*.f64 (fma.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z #s(approx (log (+ 1 (neg y))) (neg.f64 y)))) #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z #s(approx (log (+ 1 (neg y))) (neg.f64 y)))) (*.f64 t t)) (/.f64 #s(literal 1 binary64) (+.f64 t #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z #s(approx (log (+ 1 (neg y))) (neg.f64 y))))))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) (/.f64 (*.f64 t (*.f64 t (*.f64 t t))) (*.f64 t t)))) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* y (* (+ -1 z) (+ (* y -1/2) -1))) (* (log y) (+ -1 x))) (*.f64 (*.f64 y y) (-.f64 (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(approx (/ (+ -1 z) y) (fma.f64 z (/.f64 #s(literal -1 binary64) (*.f64 y z)) (/.f64 z y))))))) t) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (*.f64 (*.f64 t (*.f64 t t)) (/.f64 (*.f64 t (*.f64 t t)) (*.f64 t (*.f64 t (*.f64 t (*.f64 t t))))))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))) (*.f64 (*.f64 t t) (*.f64 t (*.f64 t t))))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 t t)))) (+.f64 #s(literal 0 binary64) (fma.f64 t t (*.f64 #s(literal 0 binary64) t))))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))) (neg.f64 (*.f64 (*.f64 t t) (*.f64 t (*.f64 t t)))))) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* y (* (+ -1 z) (+ (* y -1/2) -1))) (* (log y) (+ -1 x))) (*.f64 (*.f64 y y) (-.f64 (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (fma.f64 z (*.f64 z z) #s(literal -1 binary64)) (*.f64 y (fma.f64 z (+.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)))))))) t) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (/.f64 (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))) (*.f64 t (*.f64 t t))) (*.f64 t t))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))) (/.f64 #s(literal 1 binary64) (*.f64 t t)))) (*.f64 t (*.f64 t t)))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (*.f64 (neg.f64 (*.f64 t (*.f64 t (*.f64 t (*.f64 t (*.f64 t t)))))) (/.f64 #s(literal 1 binary64) (*.f64 t t))) (*.f64 t (*.f64 t (neg.f64 t))))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (/.f64 (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))) (*.f64 t (*.f64 t t))) (+.f64 #s(literal 0 binary64) (fma.f64 t t (*.f64 #s(literal 0 binary64) t))))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))) (*.f64 t (*.f64 t t)))) (+.f64 #s(literal 0 binary64) (fma.f64 t t (*.f64 #s(literal 0 binary64) t))))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) (/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))) #s(literal 0 binary64))) (*.f64 t (*.f64 t (*.f64 t t)))))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (/.f64 (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))) (*.f64 t (*.f64 t t))) (*.f64 (*.f64 t (*.f64 t t)) (/.f64 #s(literal 1 binary64) t)))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (*.f64 (*.f64 t (*.f64 t t)) (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t))))) (neg.f64 (*.f64 (*.f64 t t) (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))))))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (/.f64 (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))) (*.f64 t (*.f64 t t))) (*.f64 (*.f64 t (*.f64 t (*.f64 t t))) (/.f64 #s(literal 1 binary64) (*.f64 t t))))) |
(*.f64 (fma.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z #s(approx (log (+ 1 (neg y))) (neg.f64 y)))) (*.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z #s(approx (log (+ 1 (neg y))) (neg.f64 y)))) #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z #s(approx (log (+ 1 (neg y))) (neg.f64 y))))) (*.f64 t (*.f64 t t))) (/.f64 #s(literal 1 binary64) (fma.f64 t (+.f64 t #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z #s(approx (log (+ 1 (neg y))) (neg.f64 y))))) (*.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z #s(approx (log (+ 1 (neg y))) (neg.f64 y)))) #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z #s(approx (log (+ 1 (neg y))) (neg.f64 y)))))))) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* y (* (+ -1 z) (+ (* y -1/2) -1))) (* (log y) (+ -1 x))) (*.f64 (*.f64 y y) (/.f64 (-.f64 (*.f64 (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (/.f64 (*.f64 (+.f64 z #s(literal -1 binary64)) (+.f64 z #s(literal -1 binary64))) (*.f64 y y))) (-.f64 (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) z) y)))))) t) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (*.f64 (*.f64 (*.f64 t (*.f64 t t)) (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t))))) (/.f64 #s(literal 1 binary64) (*.f64 t t))) (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 t (*.f64 t t)) (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t))))) (/.f64 #s(literal 1 binary64) (*.f64 t t)))) (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (*.f64 (log.f64 y) x)) |
#s(approx (/ 1 (/ 1 (+ (* (+ x -1) (log y)) (+ (* (+ z -1) (log (+ 1 (neg y)))) (neg t))))) (*.f64 (log.f64 y) x)) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (*.f64 (log1p.f64 (neg.f64 y)) z)) |
#s(approx (/ 1 (/ 1 (+ (* (+ x -1) (log y)) (+ (* (+ z -1) (log (+ 1 (neg y)))) (neg t))))) (*.f64 (log1p.f64 (neg.f64 y)) z)) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 (log.f64 y) x)) t) |
(-.f64 #s(approx (+ (/ (log y) (/ 1 (+ x -1))) (* (- z 1) (log (- 1 y)))) (*.f64 (log.f64 y) x)) t) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 (log1p.f64 (neg.f64 y)) z)) t) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 (log.f64 y) (+.f64 #s(literal -1 binary64) x))) t) |
(-.f64 #s(approx (+ (/ (log y) (/ 1 (+ x -1))) (* (- z 1) (log (- 1 y)))) (*.f64 (log.f64 y) (+.f64 #s(literal -1 binary64) x))) t) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* y (- 1 z)) (* (log y) (+ -1 x))) (fma.f64 (log.f64 y) (+.f64 #s(literal -1 binary64) x) y))) t) |
| Outputs |
|---|
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* y (- 1 z)) (* (log y) (+ -1 x))) (fma.f64 (log.f64 y) (+.f64 #s(literal -1 binary64) x) y))) t) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* y (- 1 z)) (* (log y) (+ -1 x))) (-.f64 y (*.f64 y z)))) t) |
2 calls:
| 21.0ms | z |
| 17.0ms | (-.f64 z #s(literal 1 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 93.8% | 2 | z |
| 93.8% | 2 | (-.f64 z #s(literal 1 binary64)) |
Compiled 12 to 10 computations (16.7% saved)
| Inputs |
|---|
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) t) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (neg.f64 t)) |
(+.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z #s(approx (log (+ 1 (neg y))) (neg.f64 y)))) t) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 #s(approx (log (+ 1 (neg y))) (neg.f64 y)) z)) t) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* y (- 1 z)) (* (log y) (+ -1 x))) (-.f64 y (*.f64 y z)))) t) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* y (* (+ -1 z) (+ (* y -1/2) -1))) (* (log y) (+ -1 x))) #s(approx (* (* y y) (- (+ (* z -1/2) 1/2) (/ (+ -1 z) y))) (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) y)))) t) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (*.f64 t t) t)) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* y (* (+ -1 z) (+ (* y -1/2) -1))) (* (log y) (+ -1 x))) (*.f64 y (*.f64 y (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) t) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 #s(approx (log (+ 1 (neg y))) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)))) z)) t) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (*.f64 (/.f64 #s(literal 1 binary64) t) (*.f64 t t))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (*.f64 t t) (neg.f64 (-.f64 t #s(literal 0 binary64))))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (+.f64 #s(literal 0 binary64) t))) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* y (* (+ -1 z) (+ (* y -1/2) -1))) (* (log y) (+ -1 x))) #s(approx (* (* y y) (- (+ (* z -1/2) 1/2) (/ (+ -1 z) y))) (*.f64 (+.f64 #s(literal -1 binary64) z) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))))))) t) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ x -1) (log y)) (+ (* (+ z -1) (log (+ 1 (neg y)))) (neg t)))) (/.f64 #s(literal -1 binary64) t))) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 #s(approx (log (+ 1 (neg y))) (*.f64 y (fma.f64 y (fma.f64 y #s(literal -1/3 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) z)) t) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (*.f64 t (*.f64 t t)) (*.f64 t t))) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* y (* (+ -1 z) (+ (* y -1/2) -1))) (* (log y) (+ -1 x))) (*.f64 (*.f64 y y) #s(approx (- (+ (* z -1/2) 1/2) (/ (+ -1 z) y)) (/.f64 (-.f64 #s(literal 1 binary64) z) y))))) t) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) (*.f64 t t))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 t t)) (*.f64 t (*.f64 t t)))) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 #s(approx (log (+ 1 (neg y))) (*.f64 y (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) z)) t) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (neg.f64 (/.f64 (*.f64 t (*.f64 t t)) t)) t)) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* y (* (+ -1 z) (+ (* y -1/2) -1))) (* (log y) (+ -1 x))) (*.f64 (*.f64 y y) (-.f64 (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (+.f64 #s(literal -1 binary64) z) y))))) t) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* y (* (+ -1 z) (+ (* y -1/2) -1))) (* (log y) (+ -1 x))) (*.f64 (*.f64 y (+.f64 #s(literal 1/2 binary64) (fma.f64 z #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) z) y)))) y))) t) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) (+.f64 #s(literal 0 binary64) (fma.f64 t t (*.f64 #s(literal 0 binary64) t))))) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* y (* (+ -1 z) (+ (* y -1/2) -1))) (* (log y) (+ -1 x))) (*.f64 (*.f64 y y) #s(approx (- (+ (* z -1/2) 1/2) (/ (+ -1 z) y)) (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) z) (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))) y))))) t) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 t t))) (*.f64 t (*.f64 t (*.f64 t t))))) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* y (* (+ -1 z) (+ (* y -1/2) -1))) (* (log y) (+ -1 x))) #s(approx (* (* y y) (- (+ (* z -1/2) 1/2) (/ (+ -1 z) y))) (*.f64 z (*.f64 y (+.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) (/.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) (neg.f64 z)))))))) t) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (*.f64 t (*.f64 t (*.f64 t (*.f64 t t)))) (*.f64 t (*.f64 t (*.f64 t t))))) |
(/.f64 (fma.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z #s(approx (log (+ 1 (neg y))) (neg.f64 y)))) #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z #s(approx (log (+ 1 (neg y))) (neg.f64 y)))) (*.f64 t t)) (+.f64 t #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z #s(approx (log (+ 1 (neg y))) (neg.f64 y)))))) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* y (* (+ -1 z) (+ (* y -1/2) -1))) (* (log y) (+ -1 x))) (*.f64 (*.f64 y y) (-.f64 (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (fma.f64 z z #s(literal -1 binary64)) (*.f64 y (+.f64 #s(literal 1 binary64) z))))))) t) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 t t)) (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 t t))))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 t t) (*.f64 t (*.f64 t t)))) (*.f64 t (*.f64 t (*.f64 t t))))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (*.f64 (/.f64 (*.f64 t (*.f64 t t)) (neg.f64 (*.f64 t (*.f64 t (*.f64 t t))))) (*.f64 t (neg.f64 t)))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 t t) (*.f64 t (*.f64 t t))))) (*.f64 t (*.f64 t (*.f64 t t))))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 t t))))) |
(*.f64 (fma.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z #s(approx (log (+ 1 (neg y))) (neg.f64 y)))) #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z #s(approx (log (+ 1 (neg y))) (neg.f64 y)))) (*.f64 t t)) (/.f64 #s(literal 1 binary64) (+.f64 t #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z #s(approx (log (+ 1 (neg y))) (neg.f64 y))))))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) (/.f64 (*.f64 t (*.f64 t (*.f64 t t))) (*.f64 t t)))) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* y (* (+ -1 z) (+ (* y -1/2) -1))) (* (log y) (+ -1 x))) (*.f64 (*.f64 y y) (-.f64 (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(approx (/ (+ -1 z) y) (fma.f64 z (/.f64 #s(literal -1 binary64) (*.f64 y z)) (/.f64 z y))))))) t) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (*.f64 (*.f64 t (*.f64 t t)) (/.f64 (*.f64 t (*.f64 t t)) (*.f64 t (*.f64 t (*.f64 t (*.f64 t t))))))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))) (*.f64 (*.f64 t t) (*.f64 t (*.f64 t t))))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 t t)))) (+.f64 #s(literal 0 binary64) (fma.f64 t t (*.f64 #s(literal 0 binary64) t))))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))) (neg.f64 (*.f64 (*.f64 t t) (*.f64 t (*.f64 t t)))))) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* y (* (+ -1 z) (+ (* y -1/2) -1))) (* (log y) (+ -1 x))) (*.f64 (*.f64 y y) (-.f64 (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (fma.f64 z (*.f64 z z) #s(literal -1 binary64)) (*.f64 y (fma.f64 z (+.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)))))))) t) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (/.f64 (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))) (*.f64 t (*.f64 t t))) (*.f64 t t))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))) (/.f64 #s(literal 1 binary64) (*.f64 t t)))) (*.f64 t (*.f64 t t)))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (*.f64 (neg.f64 (*.f64 t (*.f64 t (*.f64 t (*.f64 t (*.f64 t t)))))) (/.f64 #s(literal 1 binary64) (*.f64 t t))) (*.f64 t (*.f64 t (neg.f64 t))))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (/.f64 (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))) (*.f64 t (*.f64 t t))) (+.f64 #s(literal 0 binary64) (fma.f64 t t (*.f64 #s(literal 0 binary64) t))))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))) (*.f64 t (*.f64 t t)))) (+.f64 #s(literal 0 binary64) (fma.f64 t t (*.f64 #s(literal 0 binary64) t))))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) (/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))) #s(literal 0 binary64))) (*.f64 t (*.f64 t (*.f64 t t)))))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (/.f64 (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))) (*.f64 t (*.f64 t t))) (*.f64 (*.f64 t (*.f64 t t)) (/.f64 #s(literal 1 binary64) t)))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (*.f64 (*.f64 t (*.f64 t t)) (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t))))) (neg.f64 (*.f64 (*.f64 t t) (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))))))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (/.f64 (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))) (*.f64 t (*.f64 t t))) (*.f64 (*.f64 t (*.f64 t (*.f64 t t))) (/.f64 #s(literal 1 binary64) (*.f64 t t))))) |
(*.f64 (fma.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z #s(approx (log (+ 1 (neg y))) (neg.f64 y)))) (*.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z #s(approx (log (+ 1 (neg y))) (neg.f64 y)))) #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z #s(approx (log (+ 1 (neg y))) (neg.f64 y))))) (*.f64 t (*.f64 t t))) (/.f64 #s(literal 1 binary64) (fma.f64 t (+.f64 t #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z #s(approx (log (+ 1 (neg y))) (neg.f64 y))))) (*.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z #s(approx (log (+ 1 (neg y))) (neg.f64 y)))) #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z #s(approx (log (+ 1 (neg y))) (neg.f64 y)))))))) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* y (* (+ -1 z) (+ (* y -1/2) -1))) (* (log y) (+ -1 x))) (*.f64 (*.f64 y y) (/.f64 (-.f64 (*.f64 (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (/.f64 (*.f64 (+.f64 z #s(literal -1 binary64)) (+.f64 z #s(literal -1 binary64))) (*.f64 y y))) (-.f64 (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) z) y)))))) t) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (*.f64 (*.f64 (*.f64 t (*.f64 t t)) (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t))))) (/.f64 #s(literal 1 binary64) (*.f64 t t))) (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 t (*.f64 t t)) (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t))))) (/.f64 #s(literal 1 binary64) (*.f64 t t)))) (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (*.f64 (log.f64 y) x)) |
#s(approx (/ 1 (/ 1 (+ (* (+ x -1) (log y)) (+ (* (+ z -1) (log (+ 1 (neg y)))) (neg t))))) (*.f64 (log.f64 y) x)) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (*.f64 (log1p.f64 (neg.f64 y)) z)) |
#s(approx (/ 1 (/ 1 (+ (* (+ x -1) (log y)) (+ (* (+ z -1) (log (+ 1 (neg y)))) (neg t))))) (*.f64 (log1p.f64 (neg.f64 y)) z)) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 (log.f64 y) x)) t) |
(-.f64 #s(approx (+ (/ (log y) (/ 1 (+ x -1))) (* (- z 1) (log (- 1 y)))) (*.f64 (log.f64 y) x)) t) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 (log1p.f64 (neg.f64 y)) z)) t) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 (log.f64 y) (+.f64 #s(literal -1 binary64) x))) t) |
(-.f64 #s(approx (+ (/ (log y) (/ 1 (+ x -1))) (* (- z 1) (log (- 1 y)))) (*.f64 (log.f64 y) (+.f64 #s(literal -1 binary64) x))) t) |
| Outputs |
|---|
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 (log.f64 y) (+.f64 #s(literal -1 binary64) x))) t) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* y (- 1 z)) (* (log y) (+ -1 x))) (-.f64 y (*.f64 y z)))) t) |
2 calls:
| 22.0ms | z |
| 17.0ms | (-.f64 z #s(literal 1 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 93.7% | 2 | z |
| 93.7% | 2 | (-.f64 z #s(literal 1 binary64)) |
Compiled 12 to 10 computations (16.7% saved)
| Inputs |
|---|
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) t) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (neg.f64 t)) |
(+.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z #s(approx (log (+ 1 (neg y))) (neg.f64 y)))) t) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 #s(approx (log (+ 1 (neg y))) (neg.f64 y)) z)) t) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* y (- 1 z)) (* (log y) (+ -1 x))) (-.f64 y (*.f64 y z)))) t) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* y (* (+ -1 z) (+ (* y -1/2) -1))) (* (log y) (+ -1 x))) #s(approx (* (* y y) (- (+ (* z -1/2) 1/2) (/ (+ -1 z) y))) (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) y)))) t) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (*.f64 t t) t)) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* y (* (+ -1 z) (+ (* y -1/2) -1))) (* (log y) (+ -1 x))) (*.f64 y (*.f64 y (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) t) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 #s(approx (log (+ 1 (neg y))) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)))) z)) t) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (*.f64 (/.f64 #s(literal 1 binary64) t) (*.f64 t t))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (*.f64 t t) (neg.f64 (-.f64 t #s(literal 0 binary64))))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (+.f64 #s(literal 0 binary64) t))) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* y (* (+ -1 z) (+ (* y -1/2) -1))) (* (log y) (+ -1 x))) #s(approx (* (* y y) (- (+ (* z -1/2) 1/2) (/ (+ -1 z) y))) (*.f64 (+.f64 #s(literal -1 binary64) z) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))))))) t) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ x -1) (log y)) (+ (* (+ z -1) (log (+ 1 (neg y)))) (neg t)))) (/.f64 #s(literal -1 binary64) t))) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 #s(approx (log (+ 1 (neg y))) (*.f64 y (fma.f64 y (fma.f64 y #s(literal -1/3 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) z)) t) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (*.f64 t (*.f64 t t)) (*.f64 t t))) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* y (* (+ -1 z) (+ (* y -1/2) -1))) (* (log y) (+ -1 x))) (*.f64 (*.f64 y y) #s(approx (- (+ (* z -1/2) 1/2) (/ (+ -1 z) y)) (/.f64 (-.f64 #s(literal 1 binary64) z) y))))) t) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) (*.f64 t t))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 t t)) (*.f64 t (*.f64 t t)))) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 #s(approx (log (+ 1 (neg y))) (*.f64 y (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) z)) t) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (neg.f64 (/.f64 (*.f64 t (*.f64 t t)) t)) t)) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* y (* (+ -1 z) (+ (* y -1/2) -1))) (* (log y) (+ -1 x))) (*.f64 (*.f64 y y) (-.f64 (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (+.f64 #s(literal -1 binary64) z) y))))) t) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* y (* (+ -1 z) (+ (* y -1/2) -1))) (* (log y) (+ -1 x))) (*.f64 (*.f64 y (+.f64 #s(literal 1/2 binary64) (fma.f64 z #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) z) y)))) y))) t) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) (+.f64 #s(literal 0 binary64) (fma.f64 t t (*.f64 #s(literal 0 binary64) t))))) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* y (* (+ -1 z) (+ (* y -1/2) -1))) (* (log y) (+ -1 x))) (*.f64 (*.f64 y y) #s(approx (- (+ (* z -1/2) 1/2) (/ (+ -1 z) y)) (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) z) (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))) y))))) t) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 t t))) (*.f64 t (*.f64 t (*.f64 t t))))) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* y (* (+ -1 z) (+ (* y -1/2) -1))) (* (log y) (+ -1 x))) #s(approx (* (* y y) (- (+ (* z -1/2) 1/2) (/ (+ -1 z) y))) (*.f64 z (*.f64 y (+.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) (/.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) (neg.f64 z)))))))) t) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (*.f64 t (*.f64 t (*.f64 t (*.f64 t t)))) (*.f64 t (*.f64 t (*.f64 t t))))) |
(/.f64 (fma.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z #s(approx (log (+ 1 (neg y))) (neg.f64 y)))) #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z #s(approx (log (+ 1 (neg y))) (neg.f64 y)))) (*.f64 t t)) (+.f64 t #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z #s(approx (log (+ 1 (neg y))) (neg.f64 y)))))) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* y (* (+ -1 z) (+ (* y -1/2) -1))) (* (log y) (+ -1 x))) (*.f64 (*.f64 y y) (-.f64 (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (fma.f64 z z #s(literal -1 binary64)) (*.f64 y (+.f64 #s(literal 1 binary64) z))))))) t) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 t t)) (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 t t))))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 t t) (*.f64 t (*.f64 t t)))) (*.f64 t (*.f64 t (*.f64 t t))))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (*.f64 (/.f64 (*.f64 t (*.f64 t t)) (neg.f64 (*.f64 t (*.f64 t (*.f64 t t))))) (*.f64 t (neg.f64 t)))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 t t) (*.f64 t (*.f64 t t))))) (*.f64 t (*.f64 t (*.f64 t t))))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 t t))))) |
(*.f64 (fma.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z #s(approx (log (+ 1 (neg y))) (neg.f64 y)))) #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z #s(approx (log (+ 1 (neg y))) (neg.f64 y)))) (*.f64 t t)) (/.f64 #s(literal 1 binary64) (+.f64 t #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z #s(approx (log (+ 1 (neg y))) (neg.f64 y))))))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) (/.f64 (*.f64 t (*.f64 t (*.f64 t t))) (*.f64 t t)))) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* y (* (+ -1 z) (+ (* y -1/2) -1))) (* (log y) (+ -1 x))) (*.f64 (*.f64 y y) (-.f64 (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(approx (/ (+ -1 z) y) (fma.f64 z (/.f64 #s(literal -1 binary64) (*.f64 y z)) (/.f64 z y))))))) t) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (*.f64 (*.f64 t (*.f64 t t)) (/.f64 (*.f64 t (*.f64 t t)) (*.f64 t (*.f64 t (*.f64 t (*.f64 t t))))))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))) (*.f64 (*.f64 t t) (*.f64 t (*.f64 t t))))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 t t)))) (+.f64 #s(literal 0 binary64) (fma.f64 t t (*.f64 #s(literal 0 binary64) t))))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))) (neg.f64 (*.f64 (*.f64 t t) (*.f64 t (*.f64 t t)))))) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* y (* (+ -1 z) (+ (* y -1/2) -1))) (* (log y) (+ -1 x))) (*.f64 (*.f64 y y) (-.f64 (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (fma.f64 z (*.f64 z z) #s(literal -1 binary64)) (*.f64 y (fma.f64 z (+.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)))))))) t) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (/.f64 (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))) (*.f64 t (*.f64 t t))) (*.f64 t t))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))) (/.f64 #s(literal 1 binary64) (*.f64 t t)))) (*.f64 t (*.f64 t t)))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (*.f64 (neg.f64 (*.f64 t (*.f64 t (*.f64 t (*.f64 t (*.f64 t t)))))) (/.f64 #s(literal 1 binary64) (*.f64 t t))) (*.f64 t (*.f64 t (neg.f64 t))))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (/.f64 (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))) (*.f64 t (*.f64 t t))) (+.f64 #s(literal 0 binary64) (fma.f64 t t (*.f64 #s(literal 0 binary64) t))))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))) (*.f64 t (*.f64 t t)))) (+.f64 #s(literal 0 binary64) (fma.f64 t t (*.f64 #s(literal 0 binary64) t))))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) (/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))) #s(literal 0 binary64))) (*.f64 t (*.f64 t (*.f64 t t)))))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (/.f64 (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))) (*.f64 t (*.f64 t t))) (*.f64 (*.f64 t (*.f64 t t)) (/.f64 #s(literal 1 binary64) t)))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (*.f64 (*.f64 t (*.f64 t t)) (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t))))) (neg.f64 (*.f64 (*.f64 t t) (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))))))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (/.f64 (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))) (*.f64 t (*.f64 t t))) (*.f64 (*.f64 t (*.f64 t (*.f64 t t))) (/.f64 #s(literal 1 binary64) (*.f64 t t))))) |
(*.f64 (fma.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z #s(approx (log (+ 1 (neg y))) (neg.f64 y)))) (*.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z #s(approx (log (+ 1 (neg y))) (neg.f64 y)))) #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z #s(approx (log (+ 1 (neg y))) (neg.f64 y))))) (*.f64 t (*.f64 t t))) (/.f64 #s(literal 1 binary64) (fma.f64 t (+.f64 t #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z #s(approx (log (+ 1 (neg y))) (neg.f64 y))))) (*.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z #s(approx (log (+ 1 (neg y))) (neg.f64 y)))) #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z #s(approx (log (+ 1 (neg y))) (neg.f64 y)))))))) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* y (* (+ -1 z) (+ (* y -1/2) -1))) (* (log y) (+ -1 x))) (*.f64 (*.f64 y y) (/.f64 (-.f64 (*.f64 (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (/.f64 (*.f64 (+.f64 z #s(literal -1 binary64)) (+.f64 z #s(literal -1 binary64))) (*.f64 y y))) (-.f64 (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) z) y)))))) t) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (*.f64 (*.f64 (*.f64 t (*.f64 t t)) (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t))))) (/.f64 #s(literal 1 binary64) (*.f64 t t))) (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 t (*.f64 t t)) (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t))))) (/.f64 #s(literal 1 binary64) (*.f64 t t)))) (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (*.f64 (log.f64 y) x)) |
#s(approx (/ 1 (/ 1 (+ (* (+ x -1) (log y)) (+ (* (+ z -1) (log (+ 1 (neg y)))) (neg t))))) (*.f64 (log.f64 y) x)) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (*.f64 (log1p.f64 (neg.f64 y)) z)) |
#s(approx (/ 1 (/ 1 (+ (* (+ x -1) (log y)) (+ (* (+ z -1) (log (+ 1 (neg y)))) (neg t))))) (*.f64 (log1p.f64 (neg.f64 y)) z)) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 (log.f64 y) x)) t) |
(-.f64 #s(approx (+ (/ (log y) (/ 1 (+ x -1))) (* (- z 1) (log (- 1 y)))) (*.f64 (log.f64 y) x)) t) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 (log1p.f64 (neg.f64 y)) z)) t) |
| Outputs |
|---|
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 (log.f64 y) x)) t) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* y (* (+ -1 z) (+ (* y -1/2) -1))) (* (log y) (+ -1 x))) #s(approx (* (* y y) (- (+ (* z -1/2) 1/2) (/ (+ -1 z) y))) (*.f64 (+.f64 #s(literal -1 binary64) z) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))))))) t) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 (log.f64 y) x)) t) |
8 calls:
| 40.0ms | (-.f64 z #s(literal 1 binary64)) |
| 27.0ms | (+.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y)) (*.f64 (-.f64 z #s(literal 1 binary64)) (log.f64 (-.f64 #s(literal 1 binary64) y)))) |
| 25.0ms | (-.f64 x #s(literal 1 binary64)) |
| 20.0ms | x |
| 20.0ms | t |
| Accuracy | Segments | Branch |
|---|---|---|
| 73.3% | 1 | t |
| 73.3% | 1 | y |
| 79.6% | 3 | (-.f64 (+.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y)) (*.f64 (-.f64 z #s(literal 1 binary64)) (log.f64 (-.f64 #s(literal 1 binary64) y)))) t) |
| 80.8% | 3 | (+.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y)) (*.f64 (-.f64 z #s(literal 1 binary64)) (log.f64 (-.f64 #s(literal 1 binary64) y)))) |
| 80.8% | 3 | x |
| 80.8% | 3 | (-.f64 x #s(literal 1 binary64)) |
| 75.9% | 2 | z |
| 75.9% | 2 | (-.f64 z #s(literal 1 binary64)) |
Compiled 74 to 55 computations (25.7% saved)
| Inputs |
|---|
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) t) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (neg.f64 t)) |
(+.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z #s(approx (log (+ 1 (neg y))) (neg.f64 y)))) t) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 #s(approx (log (+ 1 (neg y))) (neg.f64 y)) z)) t) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* y (- 1 z)) (* (log y) (+ -1 x))) (-.f64 y (*.f64 y z)))) t) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* y (* (+ -1 z) (+ (* y -1/2) -1))) (* (log y) (+ -1 x))) #s(approx (* (* y y) (- (+ (* z -1/2) 1/2) (/ (+ -1 z) y))) (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) y)))) t) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (*.f64 t t) t)) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* y (* (+ -1 z) (+ (* y -1/2) -1))) (* (log y) (+ -1 x))) (*.f64 y (*.f64 y (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) t) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 #s(approx (log (+ 1 (neg y))) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)))) z)) t) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (*.f64 (/.f64 #s(literal 1 binary64) t) (*.f64 t t))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (*.f64 t t) (neg.f64 (-.f64 t #s(literal 0 binary64))))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (+.f64 #s(literal 0 binary64) t))) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* y (* (+ -1 z) (+ (* y -1/2) -1))) (* (log y) (+ -1 x))) #s(approx (* (* y y) (- (+ (* z -1/2) 1/2) (/ (+ -1 z) y))) (*.f64 (+.f64 #s(literal -1 binary64) z) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))))))) t) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ x -1) (log y)) (+ (* (+ z -1) (log (+ 1 (neg y)))) (neg t)))) (/.f64 #s(literal -1 binary64) t))) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 #s(approx (log (+ 1 (neg y))) (*.f64 y (fma.f64 y (fma.f64 y #s(literal -1/3 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) z)) t) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (*.f64 t (*.f64 t t)) (*.f64 t t))) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* y (* (+ -1 z) (+ (* y -1/2) -1))) (* (log y) (+ -1 x))) (*.f64 (*.f64 y y) #s(approx (- (+ (* z -1/2) 1/2) (/ (+ -1 z) y)) (/.f64 (-.f64 #s(literal 1 binary64) z) y))))) t) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) (*.f64 t t))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 t t)) (*.f64 t (*.f64 t t)))) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 #s(approx (log (+ 1 (neg y))) (*.f64 y (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) z)) t) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (neg.f64 (/.f64 (*.f64 t (*.f64 t t)) t)) t)) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* y (* (+ -1 z) (+ (* y -1/2) -1))) (* (log y) (+ -1 x))) (*.f64 (*.f64 y y) (-.f64 (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (+.f64 #s(literal -1 binary64) z) y))))) t) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* y (* (+ -1 z) (+ (* y -1/2) -1))) (* (log y) (+ -1 x))) (*.f64 (*.f64 y (+.f64 #s(literal 1/2 binary64) (fma.f64 z #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) z) y)))) y))) t) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) (+.f64 #s(literal 0 binary64) (fma.f64 t t (*.f64 #s(literal 0 binary64) t))))) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* y (* (+ -1 z) (+ (* y -1/2) -1))) (* (log y) (+ -1 x))) (*.f64 (*.f64 y y) #s(approx (- (+ (* z -1/2) 1/2) (/ (+ -1 z) y)) (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) z) (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))) y))))) t) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 t t))) (*.f64 t (*.f64 t (*.f64 t t))))) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* y (* (+ -1 z) (+ (* y -1/2) -1))) (* (log y) (+ -1 x))) #s(approx (* (* y y) (- (+ (* z -1/2) 1/2) (/ (+ -1 z) y))) (*.f64 z (*.f64 y (+.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) (/.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) (neg.f64 z)))))))) t) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (*.f64 t (*.f64 t (*.f64 t (*.f64 t t)))) (*.f64 t (*.f64 t (*.f64 t t))))) |
(/.f64 (fma.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z #s(approx (log (+ 1 (neg y))) (neg.f64 y)))) #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z #s(approx (log (+ 1 (neg y))) (neg.f64 y)))) (*.f64 t t)) (+.f64 t #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z #s(approx (log (+ 1 (neg y))) (neg.f64 y)))))) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* y (* (+ -1 z) (+ (* y -1/2) -1))) (* (log y) (+ -1 x))) (*.f64 (*.f64 y y) (-.f64 (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (fma.f64 z z #s(literal -1 binary64)) (*.f64 y (+.f64 #s(literal 1 binary64) z))))))) t) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 t t)) (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 t t))))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 t t) (*.f64 t (*.f64 t t)))) (*.f64 t (*.f64 t (*.f64 t t))))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (*.f64 (/.f64 (*.f64 t (*.f64 t t)) (neg.f64 (*.f64 t (*.f64 t (*.f64 t t))))) (*.f64 t (neg.f64 t)))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 t t) (*.f64 t (*.f64 t t))))) (*.f64 t (*.f64 t (*.f64 t t))))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 t t))))) |
(*.f64 (fma.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z #s(approx (log (+ 1 (neg y))) (neg.f64 y)))) #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z #s(approx (log (+ 1 (neg y))) (neg.f64 y)))) (*.f64 t t)) (/.f64 #s(literal 1 binary64) (+.f64 t #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z #s(approx (log (+ 1 (neg y))) (neg.f64 y))))))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) (/.f64 (*.f64 t (*.f64 t (*.f64 t t))) (*.f64 t t)))) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* y (* (+ -1 z) (+ (* y -1/2) -1))) (* (log y) (+ -1 x))) (*.f64 (*.f64 y y) (-.f64 (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(approx (/ (+ -1 z) y) (fma.f64 z (/.f64 #s(literal -1 binary64) (*.f64 y z)) (/.f64 z y))))))) t) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (*.f64 (*.f64 t (*.f64 t t)) (/.f64 (*.f64 t (*.f64 t t)) (*.f64 t (*.f64 t (*.f64 t (*.f64 t t))))))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))) (*.f64 (*.f64 t t) (*.f64 t (*.f64 t t))))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 t t)))) (+.f64 #s(literal 0 binary64) (fma.f64 t t (*.f64 #s(literal 0 binary64) t))))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))) (neg.f64 (*.f64 (*.f64 t t) (*.f64 t (*.f64 t t)))))) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* y (* (+ -1 z) (+ (* y -1/2) -1))) (* (log y) (+ -1 x))) (*.f64 (*.f64 y y) (-.f64 (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (fma.f64 z (*.f64 z z) #s(literal -1 binary64)) (*.f64 y (fma.f64 z (+.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)))))))) t) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (/.f64 (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))) (*.f64 t (*.f64 t t))) (*.f64 t t))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))) (/.f64 #s(literal 1 binary64) (*.f64 t t)))) (*.f64 t (*.f64 t t)))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (*.f64 (neg.f64 (*.f64 t (*.f64 t (*.f64 t (*.f64 t (*.f64 t t)))))) (/.f64 #s(literal 1 binary64) (*.f64 t t))) (*.f64 t (*.f64 t (neg.f64 t))))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (/.f64 (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))) (*.f64 t (*.f64 t t))) (+.f64 #s(literal 0 binary64) (fma.f64 t t (*.f64 #s(literal 0 binary64) t))))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))) (*.f64 t (*.f64 t t)))) (+.f64 #s(literal 0 binary64) (fma.f64 t t (*.f64 #s(literal 0 binary64) t))))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) (/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))) #s(literal 0 binary64))) (*.f64 t (*.f64 t (*.f64 t t)))))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (/.f64 (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))) (*.f64 t (*.f64 t t))) (*.f64 (*.f64 t (*.f64 t t)) (/.f64 #s(literal 1 binary64) t)))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (*.f64 (*.f64 t (*.f64 t t)) (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t))))) (neg.f64 (*.f64 (*.f64 t t) (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))))))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (/.f64 (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))) (*.f64 t (*.f64 t t))) (*.f64 (*.f64 t (*.f64 t (*.f64 t t))) (/.f64 #s(literal 1 binary64) (*.f64 t t))))) |
(*.f64 (fma.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z #s(approx (log (+ 1 (neg y))) (neg.f64 y)))) (*.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z #s(approx (log (+ 1 (neg y))) (neg.f64 y)))) #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z #s(approx (log (+ 1 (neg y))) (neg.f64 y))))) (*.f64 t (*.f64 t t))) (/.f64 #s(literal 1 binary64) (fma.f64 t (+.f64 t #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z #s(approx (log (+ 1 (neg y))) (neg.f64 y))))) (*.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z #s(approx (log (+ 1 (neg y))) (neg.f64 y)))) #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z #s(approx (log (+ 1 (neg y))) (neg.f64 y)))))))) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* y (* (+ -1 z) (+ (* y -1/2) -1))) (* (log y) (+ -1 x))) (*.f64 (*.f64 y y) (/.f64 (-.f64 (*.f64 (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (/.f64 (*.f64 (+.f64 z #s(literal -1 binary64)) (+.f64 z #s(literal -1 binary64))) (*.f64 y y))) (-.f64 (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) z) y)))))) t) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (*.f64 (*.f64 (*.f64 t (*.f64 t t)) (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t))))) (/.f64 #s(literal 1 binary64) (*.f64 t t))) (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 t (*.f64 t t)) (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t))))) (/.f64 #s(literal 1 binary64) (*.f64 t t)))) (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (*.f64 (log.f64 y) x)) |
#s(approx (/ 1 (/ 1 (+ (* (+ x -1) (log y)) (+ (* (+ z -1) (log (+ 1 (neg y)))) (neg t))))) (*.f64 (log.f64 y) x)) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (*.f64 (log1p.f64 (neg.f64 y)) z)) |
#s(approx (/ 1 (/ 1 (+ (* (+ x -1) (log y)) (+ (* (+ z -1) (log (+ 1 (neg y)))) (neg t))))) (*.f64 (log1p.f64 (neg.f64 y)) z)) |
| Outputs |
|---|
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (*.f64 (log.f64 y) x)) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* y (* (+ -1 z) (+ (* y -1/2) -1))) (* (log y) (+ -1 x))) #s(approx (* (* y y) (- (+ (* z -1/2) 1/2) (/ (+ -1 z) y))) (*.f64 (+.f64 #s(literal -1 binary64) z) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))))))) t) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (*.f64 (log.f64 y) x)) |
8 calls:
| 120.0ms | y |
| 118.0ms | z |
| 52.0ms | x |
| 18.0ms | (-.f64 x #s(literal 1 binary64)) |
| 18.0ms | (-.f64 z #s(literal 1 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 64.6% | 3 | t |
| 55.3% | 5 | y |
| 51.2% | 3 | z |
| 51.0% | 3 | (-.f64 z #s(literal 1 binary64)) |
| 53.7% | 4 | (-.f64 (+.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y)) (*.f64 (-.f64 z #s(literal 1 binary64)) (log.f64 (-.f64 #s(literal 1 binary64) y)))) t) |
| 69.6% | 3 | x |
| 69.2% | 3 | (+.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y)) (*.f64 (-.f64 z #s(literal 1 binary64)) (log.f64 (-.f64 #s(literal 1 binary64) y)))) |
| 69.6% | 3 | (-.f64 x #s(literal 1 binary64)) |
Compiled 74 to 55 computations (25.7% saved)
| Inputs |
|---|
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) t) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (neg.f64 t)) |
(+.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z #s(approx (log (+ 1 (neg y))) (neg.f64 y)))) t) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 #s(approx (log (+ 1 (neg y))) (neg.f64 y)) z)) t) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* y (- 1 z)) (* (log y) (+ -1 x))) (-.f64 y (*.f64 y z)))) t) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* y (* (+ -1 z) (+ (* y -1/2) -1))) (* (log y) (+ -1 x))) #s(approx (* (* y y) (- (+ (* z -1/2) 1/2) (/ (+ -1 z) y))) (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) y)))) t) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (*.f64 t t) t)) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* y (* (+ -1 z) (+ (* y -1/2) -1))) (* (log y) (+ -1 x))) (*.f64 y (*.f64 y (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) t) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 #s(approx (log (+ 1 (neg y))) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)))) z)) t) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (*.f64 (/.f64 #s(literal 1 binary64) t) (*.f64 t t))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (*.f64 t t) (neg.f64 (-.f64 t #s(literal 0 binary64))))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (+.f64 #s(literal 0 binary64) t))) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* y (* (+ -1 z) (+ (* y -1/2) -1))) (* (log y) (+ -1 x))) #s(approx (* (* y y) (- (+ (* z -1/2) 1/2) (/ (+ -1 z) y))) (*.f64 (+.f64 #s(literal -1 binary64) z) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))))))) t) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ x -1) (log y)) (+ (* (+ z -1) (log (+ 1 (neg y)))) (neg t)))) (/.f64 #s(literal -1 binary64) t))) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 #s(approx (log (+ 1 (neg y))) (*.f64 y (fma.f64 y (fma.f64 y #s(literal -1/3 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) z)) t) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (*.f64 t (*.f64 t t)) (*.f64 t t))) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* y (* (+ -1 z) (+ (* y -1/2) -1))) (* (log y) (+ -1 x))) (*.f64 (*.f64 y y) #s(approx (- (+ (* z -1/2) 1/2) (/ (+ -1 z) y)) (/.f64 (-.f64 #s(literal 1 binary64) z) y))))) t) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) (*.f64 t t))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 t t)) (*.f64 t (*.f64 t t)))) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 #s(approx (log (+ 1 (neg y))) (*.f64 y (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) z)) t) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (neg.f64 (/.f64 (*.f64 t (*.f64 t t)) t)) t)) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* y (* (+ -1 z) (+ (* y -1/2) -1))) (* (log y) (+ -1 x))) (*.f64 (*.f64 y y) (-.f64 (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (+.f64 #s(literal -1 binary64) z) y))))) t) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* y (* (+ -1 z) (+ (* y -1/2) -1))) (* (log y) (+ -1 x))) (*.f64 (*.f64 y (+.f64 #s(literal 1/2 binary64) (fma.f64 z #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) z) y)))) y))) t) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) (+.f64 #s(literal 0 binary64) (fma.f64 t t (*.f64 #s(literal 0 binary64) t))))) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* y (* (+ -1 z) (+ (* y -1/2) -1))) (* (log y) (+ -1 x))) (*.f64 (*.f64 y y) #s(approx (- (+ (* z -1/2) 1/2) (/ (+ -1 z) y)) (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) z) (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))) y))))) t) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 t t))) (*.f64 t (*.f64 t (*.f64 t t))))) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* y (* (+ -1 z) (+ (* y -1/2) -1))) (* (log y) (+ -1 x))) #s(approx (* (* y y) (- (+ (* z -1/2) 1/2) (/ (+ -1 z) y))) (*.f64 z (*.f64 y (+.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) (/.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) (neg.f64 z)))))))) t) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (*.f64 t (*.f64 t (*.f64 t (*.f64 t t)))) (*.f64 t (*.f64 t (*.f64 t t))))) |
(/.f64 (fma.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z #s(approx (log (+ 1 (neg y))) (neg.f64 y)))) #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z #s(approx (log (+ 1 (neg y))) (neg.f64 y)))) (*.f64 t t)) (+.f64 t #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z #s(approx (log (+ 1 (neg y))) (neg.f64 y)))))) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* y (* (+ -1 z) (+ (* y -1/2) -1))) (* (log y) (+ -1 x))) (*.f64 (*.f64 y y) (-.f64 (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (fma.f64 z z #s(literal -1 binary64)) (*.f64 y (+.f64 #s(literal 1 binary64) z))))))) t) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 t t)) (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 t t))))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 t t) (*.f64 t (*.f64 t t)))) (*.f64 t (*.f64 t (*.f64 t t))))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (*.f64 (/.f64 (*.f64 t (*.f64 t t)) (neg.f64 (*.f64 t (*.f64 t (*.f64 t t))))) (*.f64 t (neg.f64 t)))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 t t) (*.f64 t (*.f64 t t))))) (*.f64 t (*.f64 t (*.f64 t t))))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 t t))))) |
(*.f64 (fma.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z #s(approx (log (+ 1 (neg y))) (neg.f64 y)))) #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z #s(approx (log (+ 1 (neg y))) (neg.f64 y)))) (*.f64 t t)) (/.f64 #s(literal 1 binary64) (+.f64 t #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z #s(approx (log (+ 1 (neg y))) (neg.f64 y))))))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) (/.f64 (*.f64 t (*.f64 t (*.f64 t t))) (*.f64 t t)))) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* y (* (+ -1 z) (+ (* y -1/2) -1))) (* (log y) (+ -1 x))) (*.f64 (*.f64 y y) (-.f64 (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(approx (/ (+ -1 z) y) (fma.f64 z (/.f64 #s(literal -1 binary64) (*.f64 y z)) (/.f64 z y))))))) t) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (*.f64 (*.f64 t (*.f64 t t)) (/.f64 (*.f64 t (*.f64 t t)) (*.f64 t (*.f64 t (*.f64 t (*.f64 t t))))))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))) (*.f64 (*.f64 t t) (*.f64 t (*.f64 t t))))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 t t)))) (+.f64 #s(literal 0 binary64) (fma.f64 t t (*.f64 #s(literal 0 binary64) t))))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))) (neg.f64 (*.f64 (*.f64 t t) (*.f64 t (*.f64 t t)))))) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* y (* (+ -1 z) (+ (* y -1/2) -1))) (* (log y) (+ -1 x))) (*.f64 (*.f64 y y) (-.f64 (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (fma.f64 z (*.f64 z z) #s(literal -1 binary64)) (*.f64 y (fma.f64 z (+.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)))))))) t) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (/.f64 (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))) (*.f64 t (*.f64 t t))) (*.f64 t t))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))) (/.f64 #s(literal 1 binary64) (*.f64 t t)))) (*.f64 t (*.f64 t t)))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (*.f64 (neg.f64 (*.f64 t (*.f64 t (*.f64 t (*.f64 t (*.f64 t t)))))) (/.f64 #s(literal 1 binary64) (*.f64 t t))) (*.f64 t (*.f64 t (neg.f64 t))))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (/.f64 (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))) (*.f64 t (*.f64 t t))) (+.f64 #s(literal 0 binary64) (fma.f64 t t (*.f64 #s(literal 0 binary64) t))))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))) (*.f64 t (*.f64 t t)))) (+.f64 #s(literal 0 binary64) (fma.f64 t t (*.f64 #s(literal 0 binary64) t))))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) (/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))) #s(literal 0 binary64))) (*.f64 t (*.f64 t (*.f64 t t)))))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (/.f64 (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))) (*.f64 t (*.f64 t t))) (*.f64 (*.f64 t (*.f64 t t)) (/.f64 #s(literal 1 binary64) t)))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (*.f64 (*.f64 t (*.f64 t t)) (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t))))) (neg.f64 (*.f64 (*.f64 t t) (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))))))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (/.f64 (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))) (*.f64 t (*.f64 t t))) (*.f64 (*.f64 t (*.f64 t (*.f64 t t))) (/.f64 #s(literal 1 binary64) (*.f64 t t))))) |
(*.f64 (fma.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z #s(approx (log (+ 1 (neg y))) (neg.f64 y)))) (*.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z #s(approx (log (+ 1 (neg y))) (neg.f64 y)))) #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z #s(approx (log (+ 1 (neg y))) (neg.f64 y))))) (*.f64 t (*.f64 t t))) (/.f64 #s(literal 1 binary64) (fma.f64 t (+.f64 t #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z #s(approx (log (+ 1 (neg y))) (neg.f64 y))))) (*.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z #s(approx (log (+ 1 (neg y))) (neg.f64 y)))) #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z #s(approx (log (+ 1 (neg y))) (neg.f64 y)))))))) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* y (* (+ -1 z) (+ (* y -1/2) -1))) (* (log y) (+ -1 x))) (*.f64 (*.f64 y y) (/.f64 (-.f64 (*.f64 (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (/.f64 (*.f64 (+.f64 z #s(literal -1 binary64)) (+.f64 z #s(literal -1 binary64))) (*.f64 y y))) (-.f64 (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) z) y)))))) t) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (*.f64 (*.f64 (*.f64 t (*.f64 t t)) (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t))))) (/.f64 #s(literal 1 binary64) (*.f64 t t))) (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 t (*.f64 t t)) (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t))))) (/.f64 #s(literal 1 binary64) (*.f64 t t)))) (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))))) |
| Outputs |
|---|
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* y (* (+ -1 z) (+ (* y -1/2) -1))) (* (log y) (+ -1 x))) #s(approx (* (* y y) (- (+ (* z -1/2) 1/2) (/ (+ -1 z) y))) (*.f64 (+.f64 #s(literal -1 binary64) z) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))))))) t) |
8 calls:
| 116.0ms | (-.f64 z #s(literal 1 binary64)) |
| 100.0ms | (-.f64 (+.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y)) (*.f64 (-.f64 z #s(literal 1 binary64)) (log.f64 (-.f64 #s(literal 1 binary64) y)))) t) |
| 24.0ms | x |
| 16.0ms | (+.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y)) (*.f64 (-.f64 z #s(literal 1 binary64)) (log.f64 (-.f64 #s(literal 1 binary64) y)))) |
| 16.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 44.0% | 1 | (-.f64 z #s(literal 1 binary64)) |
| 44.0% | 1 | z |
| 44.0% | 1 | (-.f64 (+.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y)) (*.f64 (-.f64 z #s(literal 1 binary64)) (log.f64 (-.f64 #s(literal 1 binary64) y)))) t) |
| 44.0% | 1 | y |
| 44.0% | 1 | t |
| 44.0% | 1 | (+.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y)) (*.f64 (-.f64 z #s(literal 1 binary64)) (log.f64 (-.f64 #s(literal 1 binary64) y)))) |
| 44.0% | 1 | x |
| 44.0% | 1 | (-.f64 x #s(literal 1 binary64)) |
Compiled 74 to 55 computations (25.7% saved)
| Inputs |
|---|
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) t) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (neg.f64 t)) |
(+.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z #s(approx (log (+ 1 (neg y))) (neg.f64 y)))) t) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 #s(approx (log (+ 1 (neg y))) (neg.f64 y)) z)) t) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* y (- 1 z)) (* (log y) (+ -1 x))) (-.f64 y (*.f64 y z)))) t) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* y (* (+ -1 z) (+ (* y -1/2) -1))) (* (log y) (+ -1 x))) #s(approx (* (* y y) (- (+ (* z -1/2) 1/2) (/ (+ -1 z) y))) (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) y)))) t) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (*.f64 t t) t)) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* y (* (+ -1 z) (+ (* y -1/2) -1))) (* (log y) (+ -1 x))) (*.f64 y (*.f64 y (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) t) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 #s(approx (log (+ 1 (neg y))) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)))) z)) t) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (*.f64 (/.f64 #s(literal 1 binary64) t) (*.f64 t t))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (*.f64 t t) (neg.f64 (-.f64 t #s(literal 0 binary64))))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (+.f64 #s(literal 0 binary64) t))) |
| Outputs |
|---|
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* y (- 1 z)) (* (log y) (+ -1 x))) (-.f64 y (*.f64 y z)))) t) |
8 calls:
| 106.0ms | (+.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y)) (*.f64 (-.f64 z #s(literal 1 binary64)) (log.f64 (-.f64 #s(literal 1 binary64) y)))) |
| 5.0ms | (-.f64 (+.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y)) (*.f64 (-.f64 z #s(literal 1 binary64)) (log.f64 (-.f64 #s(literal 1 binary64) y)))) t) |
| 5.0ms | t |
| 5.0ms | y |
| 5.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 44.0% | 1 | (-.f64 (+.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y)) (*.f64 (-.f64 z #s(literal 1 binary64)) (log.f64 (-.f64 #s(literal 1 binary64) y)))) t) |
| 44.0% | 1 | (+.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y)) (*.f64 (-.f64 z #s(literal 1 binary64)) (log.f64 (-.f64 #s(literal 1 binary64) y)))) |
| 44.0% | 1 | x |
| 44.0% | 1 | y |
| 44.0% | 1 | t |
| 44.0% | 1 | (-.f64 x #s(literal 1 binary64)) |
| 44.0% | 1 | z |
| 44.0% | 1 | (-.f64 z #s(literal 1 binary64)) |
Compiled 74 to 55 computations (25.7% saved)
| Inputs |
|---|
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) t) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (neg.f64 t)) |
(+.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z #s(approx (log (+ 1 (neg y))) (neg.f64 y)))) t) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 #s(approx (log (+ 1 (neg y))) (neg.f64 y)) z)) t) |
| Outputs |
|---|
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 #s(approx (log (+ 1 (neg y))) (neg.f64 y)) z)) t) |
8 calls:
| 31.0ms | x |
| 2.0ms | (+.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y)) (*.f64 (-.f64 z #s(literal 1 binary64)) (log.f64 (-.f64 #s(literal 1 binary64) y)))) |
| 2.0ms | (-.f64 (+.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y)) (*.f64 (-.f64 z #s(literal 1 binary64)) (log.f64 (-.f64 #s(literal 1 binary64) y)))) t) |
| 2.0ms | t |
| 2.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 43.8% | 1 | (+.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y)) (*.f64 (-.f64 z #s(literal 1 binary64)) (log.f64 (-.f64 #s(literal 1 binary64) y)))) |
| 43.8% | 1 | (-.f64 (+.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y)) (*.f64 (-.f64 z #s(literal 1 binary64)) (log.f64 (-.f64 #s(literal 1 binary64) y)))) t) |
| 43.8% | 1 | x |
| 43.8% | 1 | y |
| 43.8% | 1 | (-.f64 x #s(literal 1 binary64)) |
| 43.8% | 1 | t |
| 43.8% | 1 | z |
| 43.8% | 1 | (-.f64 z #s(literal 1 binary64)) |
Compiled 74 to 55 computations (25.7% saved)
| Inputs |
|---|
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) t) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (neg.f64 t)) |
(+.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z #s(approx (log (+ 1 (neg y))) (neg.f64 y)))) t) |
| Outputs |
|---|
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (neg.f64 t)) |
(+.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z #s(approx (log (+ 1 (neg y))) (neg.f64 y)))) t) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (neg.f64 t)) |
8 calls:
| 18.0ms | t |
| 2.0ms | (-.f64 (+.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y)) (*.f64 (-.f64 z #s(literal 1 binary64)) (log.f64 (-.f64 #s(literal 1 binary64) y)))) t) |
| 2.0ms | (+.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y)) (*.f64 (-.f64 z #s(literal 1 binary64)) (log.f64 (-.f64 #s(literal 1 binary64) y)))) |
| 2.0ms | x |
| 2.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 35.5% | 1 | (+.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y)) (*.f64 (-.f64 z #s(literal 1 binary64)) (log.f64 (-.f64 #s(literal 1 binary64) y)))) |
| 42.0% | 3 | (-.f64 (+.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y)) (*.f64 (-.f64 z #s(literal 1 binary64)) (log.f64 (-.f64 #s(literal 1 binary64) y)))) t) |
| 42.7% | 3 | t |
| 35.5% | 1 | (-.f64 x #s(literal 1 binary64)) |
| 35.5% | 1 | x |
| 35.5% | 1 | y |
| 38.0% | 2 | z |
| 38.0% | 2 | (-.f64 z #s(literal 1 binary64)) |
Compiled 74 to 55 computations (25.7% saved)
| Inputs |
|---|
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) t) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (neg.f64 t)) |
| Outputs |
|---|
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (neg.f64 t)) |
5 calls:
| 2.0ms | (-.f64 (+.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y)) (*.f64 (-.f64 z #s(literal 1 binary64)) (log.f64 (-.f64 #s(literal 1 binary64) y)))) t) |
| 2.0ms | y |
| 2.0ms | z |
| 2.0ms | t |
| 1.0ms | (-.f64 z #s(literal 1 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 35.5% | 1 | y |
| 35.5% | 1 | z |
| 35.5% | 1 | (-.f64 z #s(literal 1 binary64)) |
| 35.5% | 1 | (-.f64 (+.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y)) (*.f64 (-.f64 z #s(literal 1 binary64)) (log.f64 (-.f64 #s(literal 1 binary64) y)))) t) |
| 35.5% | 1 | t |
Compiled 43 to 32 computations (25.6% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) t) |
| Outputs |
|---|
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) t) |
8 calls:
| 126.0ms | (+.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y)) (*.f64 (-.f64 z #s(literal 1 binary64)) (log.f64 (-.f64 #s(literal 1 binary64) y)))) |
| 1.0ms | (-.f64 (+.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y)) (*.f64 (-.f64 z #s(literal 1 binary64)) (log.f64 (-.f64 #s(literal 1 binary64) y)))) t) |
| 1.0ms | z |
| 1.0ms | y |
| 1.0ms | t |
| Accuracy | Segments | Branch |
|---|---|---|
| 2.3% | 1 | x |
| 2.3% | 1 | z |
| 2.3% | 1 | (-.f64 (+.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y)) (*.f64 (-.f64 z #s(literal 1 binary64)) (log.f64 (-.f64 #s(literal 1 binary64) y)))) t) |
| 2.3% | 1 | (+.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y)) (*.f64 (-.f64 z #s(literal 1 binary64)) (log.f64 (-.f64 #s(literal 1 binary64) y)))) |
| 2.3% | 1 | (-.f64 z #s(literal 1 binary64)) |
| 2.3% | 1 | (-.f64 x #s(literal 1 binary64)) |
| 2.3% | 1 | t |
| 2.3% | 1 | y |
Compiled 74 to 55 computations (25.7% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.896541474816799e+147 | 2.9091851727774815e+154 |
| 0.0ms | -2.5391919712790837e+138 | -6.796742740626054e+135 |
Compiled 24 to 22 computations (8.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.859150536079324e+244 | 3.059831180936207e+256 |
Compiled 24 to 22 computations (8.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.859150536079324e+244 | 3.059831180936207e+256 |
Compiled 24 to 22 computations (8.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.999999966871152 | -0.9996658589255111 |
| 0.0ms | -2.1611334284442313e+24 | -897084674037591.1 |
Compiled 24 to 22 computations (8.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 7389498105555627000.0 | 3.297842578206615e+26 |
| 0.0ms | -2.1611334284442313e+24 | -897084674037591.1 |
Compiled 24 to 22 computations (8.3% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 134.0ms | 2.481959721108964e+60 | 1.840834814507514e+63 |
| 23.0ms | -1.9288397933246063e+34 | -1.7976069420469996e+33 |
| 133.0ms | 69× | 1 | valid |
| 14.0ms | 155× | 0 | valid |
Compiled 318 to 217 computations (31.8% saved)
ival-log: 126.0ms (90% of total)ival-sub: 5.0ms (3.6% of total)ival-mult: 4.0ms (2.9% of total)adjust: 2.0ms (1.4% of total)ival-add: 1.0ms (0.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | egg-herbie |
| 48× | +-commutative_binary64 |
| 40× | sub-neg_binary64 |
| 34× | *-commutative_binary64 |
| 10× | neg-sub0_binary64 |
| 10× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 132 | 864 |
| 1 | 177 | 864 |
| 2 | 206 | 864 |
| 3 | 223 | 864 |
| 4 | 225 | 864 |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (+.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y)) (*.f64 (-.f64 z #s(literal 1 binary64)) #s(approx (log (- 1 y)) (*.f64 y (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))))) t) |
(-.f64 (+.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y)) (*.f64 (-.f64 z #s(literal 1 binary64)) #s(approx (log (- 1 y)) (*.f64 y (fma.f64 y (fma.f64 y #s(literal -1/3 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)))))) t) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (fma.f64 y (*.f64 (+.f64 #s(literal -1 binary64) z) (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))) (*.f64 (log.f64 y) (+.f64 #s(literal -1 binary64) x)))) t) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (fma.f64 y (-.f64 #s(literal 1 binary64) z) (*.f64 (log.f64 y) (+.f64 #s(literal -1 binary64) x)))) t) |
(if (<=.f64 (-.f64 z #s(literal 1 binary64)) #s(literal -2000000000000000065683124978409852157974025132719223391024626852517494013797575991088002631255454825367899009568644871157296981268422983680 binary64)) (-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (fma.f64 y (-.f64 #s(literal 1 binary64) z) #s(approx (* (log y) (+ -1 x)) (*.f64 (log.f64 y) x)))) t) (if (<=.f64 (-.f64 z #s(literal 1 binary64)) #s(literal 5000000000000000244883632875752602897861135017653719443725211872950841317966923780806157646236382318965565323407551383810267164593312926085511380992 binary64)) (-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* y (- 1 z)) (* (log y) (+ -1 x))) (fma.f64 (log.f64 y) (+.f64 #s(literal -1 binary64) x) y))) t) (-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (fma.f64 y (-.f64 #s(literal 1 binary64) z) #s(approx (* (log y) (+ -1 x)) (*.f64 (log.f64 y) x)))) t))) |
(if (<=.f64 (-.f64 z #s(literal 1 binary64)) #s(literal 50000000000000002216397832979173719250214483304318128040098968915481738541309455929792089182585038346225505444281420986050205132811653363414864588844456074162727639905052485516551288455999908458318119026366376053636438477835715215872973713965056 binary64)) (-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* y (- 1 z)) (* (log y) (+ -1 x))) (fma.f64 (log.f64 y) (+.f64 #s(literal -1 binary64) x) y))) t) (-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* y (- 1 z)) (* (log y) (+ -1 x))) (-.f64 y (*.f64 y z)))) t)) |
(if (<=.f64 (-.f64 z #s(literal 1 binary64)) #s(literal 50000000000000002216397832979173719250214483304318128040098968915481738541309455929792089182585038346225505444281420986050205132811653363414864588844456074162727639905052485516551288455999908458318119026366376053636438477835715215872973713965056 binary64)) (-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 (log.f64 y) (+.f64 #s(literal -1 binary64) x))) t) (-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* y (- 1 z)) (* (log y) (+ -1 x))) (-.f64 y (*.f64 y z)))) t)) |
(if (<=.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1999999999999999966445568 binary64)) (-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 (log.f64 y) x)) t) (if (<=.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -2251349453722511/2251799813685248 binary64)) (-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* y (* (+ -1 z) (+ (* y -1/2) -1))) (* (log y) (+ -1 x))) #s(approx (* (* y y) (- (+ (* z -1/2) 1/2) (/ (+ -1 z) y))) (*.f64 (+.f64 #s(literal -1 binary64) z) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))))))) t) (-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 (log.f64 y) x)) t))) |
(if (<=.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1999999999999999966445568 binary64)) #s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (*.f64 (log.f64 y) x)) (if (<=.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 10000000000000000000 binary64)) (-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* y (* (+ -1 z) (+ (* y -1/2) -1))) (* (log y) (+ -1 x))) #s(approx (* (* y y) (- (+ (* z -1/2) 1/2) (/ (+ -1 z) y))) (*.f64 (+.f64 #s(literal -1 binary64) z) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))))))) t) #s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (*.f64 (log.f64 y) x)))) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* y (* (+ -1 z) (+ (* y -1/2) -1))) (* (log y) (+ -1 x))) #s(approx (* (* y y) (- (+ (* z -1/2) 1/2) (/ (+ -1 z) y))) (*.f64 (+.f64 #s(literal -1 binary64) z) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))))))) t) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* y (- 1 z)) (* (log y) (+ -1 x))) (-.f64 y (*.f64 y z)))) t) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 #s(approx (log (+ 1 (neg y))) (neg.f64 y)) z)) t) |
(if (<=.f64 t #s(literal -1999999999999999891150461974085632 binary64)) #s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (neg.f64 t)) (if (<=.f64 t #s(literal 2649999999999999830194716219597152970996510042948158284103680 binary64)) (+.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z #s(approx (log (+ 1 (neg y))) (neg.f64 y)))) t) #s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (neg.f64 t)))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (neg.f64 t)) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) t) |
| Outputs |
|---|
(-.f64 (+.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y)) (*.f64 (-.f64 z #s(literal 1 binary64)) #s(approx (log (- 1 y)) (*.f64 y (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))))) t) |
(-.f64 (+.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (log.f64 y)) (*.f64 (+.f64 z #s(literal -1 binary64)) #s(approx (log (- 1 y)) (*.f64 y (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))))) t) |
(-.f64 (+.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y)) (*.f64 (-.f64 z #s(literal 1 binary64)) #s(approx (log (- 1 y)) (*.f64 y (fma.f64 y (fma.f64 y #s(literal -1/3 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)))))) t) |
(-.f64 (+.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (log.f64 y)) (*.f64 (+.f64 z #s(literal -1 binary64)) #s(approx (log (- 1 y)) (*.f64 y (fma.f64 y (fma.f64 y #s(literal -1/3 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)))))) t) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (fma.f64 y (*.f64 (+.f64 #s(literal -1 binary64) z) (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))) (*.f64 (log.f64 y) (+.f64 #s(literal -1 binary64) x)))) t) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (fma.f64 y (*.f64 (+.f64 z #s(literal -1 binary64)) (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))) (*.f64 (+.f64 x #s(literal -1 binary64)) (log.f64 y)))) t) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (fma.f64 y (-.f64 #s(literal 1 binary64) z) (*.f64 (log.f64 y) (+.f64 #s(literal -1 binary64) x)))) t) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (fma.f64 y (-.f64 #s(literal 1 binary64) z) (*.f64 (+.f64 x #s(literal -1 binary64)) (log.f64 y)))) t) |
(if (<=.f64 (-.f64 z #s(literal 1 binary64)) #s(literal -2000000000000000065683124978409852157974025132719223391024626852517494013797575991088002631255454825367899009568644871157296981268422983680 binary64)) (-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (fma.f64 y (-.f64 #s(literal 1 binary64) z) #s(approx (* (log y) (+ -1 x)) (*.f64 (log.f64 y) x)))) t) (if (<=.f64 (-.f64 z #s(literal 1 binary64)) #s(literal 5000000000000000244883632875752602897861135017653719443725211872950841317966923780806157646236382318965565323407551383810267164593312926085511380992 binary64)) (-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* y (- 1 z)) (* (log y) (+ -1 x))) (fma.f64 (log.f64 y) (+.f64 #s(literal -1 binary64) x) y))) t) (-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (fma.f64 y (-.f64 #s(literal 1 binary64) z) #s(approx (* (log y) (+ -1 x)) (*.f64 (log.f64 y) x)))) t))) |
(if (<=.f64 (+.f64 z #s(literal -1 binary64)) #s(literal -2000000000000000065683124978409852157974025132719223391024626852517494013797575991088002631255454825367899009568644871157296981268422983680 binary64)) (-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (fma.f64 y (-.f64 #s(literal 1 binary64) z) #s(approx (* (log y) (+ -1 x)) (*.f64 x (log.f64 y))))) t) (if (<=.f64 (+.f64 z #s(literal -1 binary64)) #s(literal 5000000000000000244883632875752602897861135017653719443725211872950841317966923780806157646236382318965565323407551383810267164593312926085511380992 binary64)) (-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* y (- 1 z)) (* (log y) (+ -1 x))) (fma.f64 (log.f64 y) (+.f64 x #s(literal -1 binary64)) y))) t) (-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (fma.f64 y (-.f64 #s(literal 1 binary64) z) #s(approx (* (log y) (+ -1 x)) (*.f64 x (log.f64 y))))) t))) |
(if (<=.f64 (-.f64 z #s(literal 1 binary64)) #s(literal 50000000000000002216397832979173719250214483304318128040098968915481738541309455929792089182585038346225505444281420986050205132811653363414864588844456074162727639905052485516551288455999908458318119026366376053636438477835715215872973713965056 binary64)) (-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* y (- 1 z)) (* (log y) (+ -1 x))) (fma.f64 (log.f64 y) (+.f64 #s(literal -1 binary64) x) y))) t) (-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* y (- 1 z)) (* (log y) (+ -1 x))) (-.f64 y (*.f64 y z)))) t)) |
(if (<=.f64 (+.f64 z #s(literal -1 binary64)) #s(literal 50000000000000002216397832979173719250214483304318128040098968915481738541309455929792089182585038346225505444281420986050205132811653363414864588844456074162727639905052485516551288455999908458318119026366376053636438477835715215872973713965056 binary64)) (-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* y (- 1 z)) (* (log y) (+ -1 x))) (fma.f64 (log.f64 y) (+.f64 x #s(literal -1 binary64)) y))) t) (-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* y (- 1 z)) (* (log y) (+ -1 x))) (-.f64 y (*.f64 y z)))) t)) |
(if (<=.f64 (-.f64 z #s(literal 1 binary64)) #s(literal 50000000000000002216397832979173719250214483304318128040098968915481738541309455929792089182585038346225505444281420986050205132811653363414864588844456074162727639905052485516551288455999908458318119026366376053636438477835715215872973713965056 binary64)) (-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 (log.f64 y) (+.f64 #s(literal -1 binary64) x))) t) (-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* y (- 1 z)) (* (log y) (+ -1 x))) (-.f64 y (*.f64 y z)))) t)) |
(if (<=.f64 (+.f64 z #s(literal -1 binary64)) #s(literal 50000000000000002216397832979173719250214483304318128040098968915481738541309455929792089182585038346225505444281420986050205132811653363414864588844456074162727639905052485516551288455999908458318119026366376053636438477835715215872973713965056 binary64)) (-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 (+.f64 x #s(literal -1 binary64)) (log.f64 y))) t) (-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* y (- 1 z)) (* (log y) (+ -1 x))) (-.f64 y (*.f64 y z)))) t)) |
(if (<=.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1999999999999999966445568 binary64)) (-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 (log.f64 y) x)) t) (if (<=.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -2251349453722511/2251799813685248 binary64)) (-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* y (* (+ -1 z) (+ (* y -1/2) -1))) (* (log y) (+ -1 x))) #s(approx (* (* y y) (- (+ (* z -1/2) 1/2) (/ (+ -1 z) y))) (*.f64 (+.f64 #s(literal -1 binary64) z) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))))))) t) (-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 (log.f64 y) x)) t))) |
(if (<=.f64 (+.f64 x #s(literal -1 binary64)) #s(literal -1999999999999999966445568 binary64)) (-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 x (log.f64 y))) t) (if (<=.f64 (+.f64 x #s(literal -1 binary64)) #s(literal -2251349453722511/2251799813685248 binary64)) (-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* y (* (+ -1 z) (+ (* y -1/2) -1))) (* (log y) (+ -1 x))) #s(approx (* (* y y) (- (+ (* z -1/2) 1/2) (/ (+ -1 z) y))) (*.f64 (+.f64 z #s(literal -1 binary64)) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))))))) t) (-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 x (log.f64 y))) t))) |
(if (<=.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1999999999999999966445568 binary64)) #s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (*.f64 (log.f64 y) x)) (if (<=.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 10000000000000000000 binary64)) (-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* y (* (+ -1 z) (+ (* y -1/2) -1))) (* (log y) (+ -1 x))) #s(approx (* (* y y) (- (+ (* z -1/2) 1/2) (/ (+ -1 z) y))) (*.f64 (+.f64 #s(literal -1 binary64) z) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))))))) t) #s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (*.f64 (log.f64 y) x)))) |
(if (<=.f64 (+.f64 x #s(literal -1 binary64)) #s(literal -1999999999999999966445568 binary64)) #s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (*.f64 x (log.f64 y))) (if (<=.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 10000000000000000000 binary64)) (-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* y (* (+ -1 z) (+ (* y -1/2) -1))) (* (log y) (+ -1 x))) #s(approx (* (* y y) (- (+ (* z -1/2) 1/2) (/ (+ -1 z) y))) (*.f64 (+.f64 z #s(literal -1 binary64)) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))))))) t) #s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (*.f64 x (log.f64 y))))) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* y (* (+ -1 z) (+ (* y -1/2) -1))) (* (log y) (+ -1 x))) #s(approx (* (* y y) (- (+ (* z -1/2) 1/2) (/ (+ -1 z) y))) (*.f64 (+.f64 #s(literal -1 binary64) z) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))))))) t) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* y (* (+ -1 z) (+ (* y -1/2) -1))) (* (log y) (+ -1 x))) #s(approx (* (* y y) (- (+ (* z -1/2) 1/2) (/ (+ -1 z) y))) (*.f64 (+.f64 z #s(literal -1 binary64)) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))))))) t) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* y (- 1 z)) (* (log y) (+ -1 x))) (-.f64 y (*.f64 y z)))) t) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 #s(approx (log (+ 1 (neg y))) (neg.f64 y)) z)) t) |
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z #s(approx (log (+ 1 (neg y))) (neg.f64 y)))) t) |
(if (<=.f64 t #s(literal -1999999999999999891150461974085632 binary64)) #s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (neg.f64 t)) (if (<=.f64 t #s(literal 2649999999999999830194716219597152970996510042948158284103680 binary64)) (+.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z #s(approx (log (+ 1 (neg y))) (neg.f64 y)))) t) #s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (neg.f64 t)))) |
(if (<=.f64 t #s(literal -1999999999999999891150461974085632 binary64)) #s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (neg.f64 t)) (if (<=.f64 t #s(literal 2649999999999999830194716219597152970996510042948158284103680 binary64)) (+.f64 t #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z #s(approx (log (+ 1 (neg y))) (neg.f64 y))))) #s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (neg.f64 t)))) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (neg.f64 t)) |
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) t) |
| 17 812× | lower-fma.f64 |
| 17 812× | lower-fma.f32 |
| 14 966× | lower-fma.f64 |
| 14 966× | lower-fma.f32 |
| 8 214× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 62 | 384 |
| 0 | 94 | 344 |
| 1 | 452 | 325 |
| 2 | 3895 | 321 |
| 0 | 8440 | 290 |
| 0 | 50 | 332 |
| 0 | 85 | 316 |
| 1 | 404 | 316 |
| 2 | 3208 | 316 |
| 0 | 8311 | 310 |
| 0 | 628 | 13924 |
| 1 | 2002 | 13042 |
| 2 | 6853 | 12838 |
| 0 | 8150 | 11905 |
| 0 | 701 | 14623 |
| 1 | 2241 | 13706 |
| 2 | 7485 | 13514 |
| 0 | 8079 | 12541 |
| 0 | 377 | 10617 |
| 1 | 1230 | 9950 |
| 2 | 4044 | 9277 |
| 0 | 8934 | 8580 |
| 0 | 226 | 2458 |
| 1 | 700 | 2291 |
| 2 | 2121 | 2149 |
| 3 | 7355 | 2149 |
| 0 | 8590 | 1990 |
| 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× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 678 to 348 computations (48.7% saved)
Compiled 686 to 182 computations (73.5% saved)
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