
Time bar (total: 10.9s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 3 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 4 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 5 |
| 3.2% | 3.1% | 93.7% | 0.1% | 0% | 3.1% | 0% | 6 |
| 15.8% | 14% | 74.9% | 0.1% | 0% | 10.9% | 0% | 7 |
| 22.1% | 19.5% | 68.7% | 0.1% | 0% | 11.7% | 0% | 8 |
| 31.8% | 26.9% | 57.8% | 0.1% | 0% | 15.2% | 0% | 9 |
| 36.3% | 30.6% | 53.9% | 0.1% | 0% | 15.4% | 0% | 10 |
| 42% | 34.8% | 48% | 0.1% | 0% | 17.1% | 0% | 11 |
| 44.6% | 36.9% | 45.9% | 0.1% | 0% | 17.1% | 0% | 12 |
Compiled 14 to 11 computations (21.4% saved)
| 529.0ms | 5 937× | 0 | valid |
| 420.0ms | 2 319× | 1 | valid |
| 200.0ms | 1 040× | 1 | invalid |
| 178.0ms | 1 632× | 0 | invalid |
ival-sub: 373.0ms (44.6% of total)ival-log: 246.0ms (29.4% of total)ival-div: 114.0ms (13.6% of total)adjust: 82.0ms (9.8% of total)exact: 9.0ms (1.1% of total)ival-true: 9.0ms (1.1% of total)ival-assert: 5.0ms (0.6% of total)| 1× | egg-herbie |
| 540× | lower-fma.f64 |
| 540× | lower-fma.f32 |
| 356× | sub-neg |
| 332× | times-frac |
| 296× | div-sub |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 68 |
| 1 | 64 | 62 |
| 2 | 172 | 60 |
| 3 | 430 | 60 |
| 4 | 967 | 60 |
| 5 | 1883 | 60 |
| 6 | 2365 | 60 |
| 7 | 2526 | 60 |
| 8 | 2571 | 60 |
| 9 | 2585 | 60 |
| 10 | 2585 | 60 |
| 0 | 9 | 12 |
| 0 | 15 | 12 |
| 1 | 27 | 12 |
| 2 | 46 | 12 |
| 3 | 97 | 12 |
| 4 | 222 | 12 |
| 5 | 453 | 12 |
| 6 | 801 | 12 |
| 7 | 985 | 12 |
| 8 | 1028 | 12 |
| 9 | 1057 | 12 |
| 0 | 1057 | 10 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) |
| Outputs |
|---|
(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) |
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) |
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 89 | 0 | - | 0 | - | (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))) |
| 83 | 0 | - | 0 | - | (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) |
| 0 | 0 | - | 0 | - | (-.f64 #s(literal 1 binary64) y) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| 0 | 0 | - | 0 | - | (-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (-.f64 x y) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
log.f64 | (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))) | sensitivity | 89 | 0 |
-.f64 | (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) | cancellation | 83 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 82 | 0 |
| - | 90 | 84 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 82 | 0 | 0 |
| - | 90 | 0 | 84 |
| number | freq |
|---|---|
| 0 | 84 |
| 1 | 172 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 175.0ms | 310× | 1 | valid |
| 14.0ms | 186× | 0 | valid |
| 5.0ms | 14× | 2 | valid |
| 1.0ms | 2× | 3 | valid |
Compiled 126 to 40 computations (68.3% saved)
ival-log: 23.0ms (38% of total)ival-sub: 17.0ms (28.1% of total)adjust: 13.0ms (21.5% of total)ival-div: 6.0ms (9.9% of total)exact: 1.0ms (1.7% of total)ival-true: 1.0ms (1.7% of total)ival-assert: 0.0ms (0% of total)Compiled 2 to 2 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 69.9% | (-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) |
Compiled 14 to 9 computations (35.7% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) |
| ✓ | cost-diff | 192 | (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))) |
| 540× | lower-fma.f64 |
| 540× | lower-fma.f32 |
| 232× | lower-*.f64 |
| 232× | lower-*.f32 |
| 176× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 47 |
| 0 | 15 | 47 |
| 1 | 27 | 47 |
| 2 | 46 | 47 |
| 3 | 97 | 47 |
| 4 | 222 | 47 |
| 5 | 453 | 47 |
| 6 | 801 | 47 |
| 7 | 985 | 47 |
| 8 | 1028 | 47 |
| 9 | 1057 | 47 |
| 0 | 1057 | 43 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) |
#s(literal 1 binary64) |
(log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) |
(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
(-.f64 x y) |
x |
y |
(-.f64 #s(literal 1 binary64) y) |
| Outputs |
|---|
(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) |
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) |
#s(literal 1 binary64) |
(log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))) |
(log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) |
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) |
(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
(-.f64 x y) |
x |
y |
(-.f64 #s(literal 1 binary64) y) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) |
| ✓ | accuracy | 100.0% | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| ✓ | accuracy | 70.3% | (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) |
| ✓ | accuracy | 68.5% | (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))) |
| 31.0ms | 155× | 1 | valid |
| 15.0ms | 93× | 0 | valid |
| 2.0ms | 7× | 2 | valid |
| 1.0ms | 1× | 3 | valid |
Compiled 49 to 11 computations (77.6% saved)
ival-log: 20.0ms (55% of total)ival-sub: 8.0ms (22% of total)adjust: 4.0ms (11% of total)ival-div: 3.0ms (8.2% of total)ival-assert: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))> |
#<alt (-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))))> |
#<alt (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))> |
#<alt (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))> |
| Outputs |
|---|
#<alt (log (+ 1 (/ y (- 1 y))))> |
#<alt (+ (log (+ 1 (/ y (- 1 y)))) (* -1 (/ x (* (+ 1 (/ y (- 1 y))) (- 1 y)))))> |
#<alt (+ (log (+ 1 (/ y (- 1 y)))) (* x (- (* -1/2 (/ x (* (pow (+ 1 (/ y (- 1 y))) 2) (pow (- 1 y) 2)))) (/ 1 (* (+ 1 (/ y (- 1 y))) (- 1 y))))))> |
#<alt (+ (log (+ 1 (/ y (- 1 y)))) (* x (- (* x (- (* -1/3 (/ x (* (pow (+ 1 (/ y (- 1 y))) 3) (pow (- 1 y) 3)))) (* 1/2 (/ 1 (* (pow (+ 1 (/ y (- 1 y))) 2) (pow (- 1 y) 2)))))) (/ 1 (* (+ 1 (/ y (- 1 y))) (- 1 y))))))> |
#<alt (+ (log (neg (/ 1 (- 1 y)))) (* -1 (log (/ 1 x))))> |
#<alt (+ (log (neg (/ 1 (- 1 y)))) (+ (* -1 (log (/ 1 x))) (* -1 (/ (* (+ 1 (/ y (- 1 y))) (- 1 y)) x))))> |
#<alt (+ (log (neg (/ 1 (- 1 y)))) (+ (* -1 (log (/ 1 x))) (+ (* -1 (/ (* (+ 1 (/ y (- 1 y))) (- 1 y)) x)) (* -1/2 (/ (* (pow (+ 1 (/ y (- 1 y))) 2) (pow (- 1 y) 2)) (pow x 2))))))> |
#<alt (+ (log (neg (/ 1 (- 1 y)))) (+ (* -1 (log (/ 1 x))) (+ (* -1 (/ (* (+ 1 (/ y (- 1 y))) (- 1 y)) x)) (+ (* -1/2 (/ (* (pow (+ 1 (/ y (- 1 y))) 2) (pow (- 1 y) 2)) (pow x 2))) (* -1/3 (/ (* (pow (+ 1 (/ y (- 1 y))) 3) (pow (- 1 y) 3)) (pow x 3)))))))> |
#<alt (+ (log (/ 1 (- 1 y))) (* -1 (log (/ -1 x))))> |
#<alt (+ (log (/ 1 (- 1 y))) (+ (* -1 (log (/ -1 x))) (* -1 (/ (* (- 1 y) (- 1 (* -1 (/ y (- 1 y))))) x))))> |
#<alt (+ (log (/ 1 (- 1 y))) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* 1/2 (/ (* (pow (- 1 y) 2) (pow (- 1 (* -1 (/ y (- 1 y)))) 2)) x)) (* (- 1 y) (- 1 (* -1 (/ y (- 1 y)))))) x))))> |
#<alt (+ (log (/ 1 (- 1 y))) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow (- 1 y) 2) (pow (- 1 (* -1 (/ y (- 1 y)))) 2))) (* -1/3 (/ (* (pow (- 1 y) 3) (pow (- 1 (* -1 (/ y (- 1 y)))) 3)) x))) x)) (* (- 1 y) (- 1 (* -1 (/ y (- 1 y)))))) x))))> |
#<alt (log (- 1 x))> |
#<alt (+ (log (- 1 x)) (* y (+ (* -1 (/ x (- 1 x))) (/ 1 (- 1 x)))))> |
#<alt (+ (log (- 1 x)) (* y (+ (* -1 (/ x (- 1 x))) (+ (* 1/2 (* y (+ (* -1 (/ (pow (+ 1 (* -1 x)) 2) (pow (- 1 x) 2))) (* 2 (/ (+ 1 (* -1 x)) (- 1 x)))))) (/ 1 (- 1 x))))))> |
#<alt (+ (log (- 1 x)) (* y (+ (* -1 (/ x (- 1 x))) (+ (* y (+ (* 1/6 (* y (+ (* -6 (/ (pow (+ 1 (* -1 x)) 2) (pow (- 1 x) 2))) (+ (* 2 (/ (pow (+ 1 (* -1 x)) 3) (pow (- 1 x) 3))) (* 6 (/ (+ 1 (* -1 x)) (- 1 x))))))) (* 1/2 (+ (* -1 (/ (pow (+ 1 (* -1 x)) 2) (pow (- 1 x) 2))) (* 2 (/ (+ 1 (* -1 x)) (- 1 x))))))) (/ 1 (- 1 x))))))> |
#<alt (+ (log (neg (+ 1 (* -1 x)))) (log (/ 1 y)))> |
#<alt (+ (log (neg (+ 1 (* -1 x)))) (+ (log (/ 1 y)) (* -1 (/ (- x 1) (* y (+ 1 (* -1 x)))))))> |
#<alt (+ (log (neg (+ 1 (* -1 x)))) (+ (log (/ 1 y)) (+ (* -1 (/ (- x 1) (* y (+ 1 (* -1 x))))) (* 1/2 (/ (+ (* -2 (/ (- x 1) (+ 1 (* -1 x)))) (* -1 (/ (pow (- x 1) 2) (pow (+ 1 (* -1 x)) 2)))) (pow y 2))))))> |
#<alt (+ (log (neg (+ 1 (* -1 x)))) (+ (log (/ 1 y)) (+ (* -1 (/ (- x 1) (* y (+ 1 (* -1 x))))) (+ (* 1/6 (/ (+ (* -6 (/ (- x 1) (+ 1 (* -1 x)))) (+ (* -6 (/ (pow (- x 1) 2) (pow (+ 1 (* -1 x)) 2))) (* -2 (/ (pow (- x 1) 3) (pow (+ 1 (* -1 x)) 3))))) (pow y 3))) (* 1/2 (/ (+ (* -2 (/ (- x 1) (+ 1 (* -1 x)))) (* -1 (/ (pow (- x 1) 2) (pow (+ 1 (* -1 x)) 2)))) (pow y 2)))))))> |
#<alt (+ (log (- 1 x)) (log (/ -1 y)))> |
#<alt (+ (log (- 1 x)) (+ (log (/ -1 y)) (* -1 (/ (- (/ x (- 1 x)) (/ 1 (- 1 x))) y))))> |
#<alt (+ (log (- 1 x)) (+ (log (/ -1 y)) (* -1 (/ (- (+ (* -1/2 (/ (+ (* -1 (/ (pow (- x 1) 2) (pow (- 1 x) 2))) (* 2 (/ (+ 1 (* -1 x)) (- 1 x)))) y)) (/ x (- 1 x))) (/ 1 (- 1 x))) y))))> |
#<alt (+ (log (- 1 x)) (+ (log (/ -1 y)) (* -1 (/ (- (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -6 (/ (* (+ 1 (* -1 x)) (- x 1)) (pow (- 1 x) 2))) (+ (* 2 (/ (pow (- x 1) 3) (pow (- 1 x) 3))) (* 6 (/ (- x 1) (- 1 x))))) y)) (* 1/2 (+ (* -1 (/ (pow (- x 1) 2) (pow (- 1 x) 2))) (* 2 (/ (+ 1 (* -1 x)) (- 1 x)))))) y)) (/ x (- 1 x))) (/ 1 (- 1 x))) y))))> |
#<alt (- 1 (log (+ 1 (/ y (- 1 y)))))> |
#<alt (- (+ 1 (/ x (* (+ 1 (/ y (- 1 y))) (- 1 y)))) (log (+ 1 (/ y (- 1 y)))))> |
#<alt (- (+ 1 (* x (+ (* 1/2 (/ x (* (pow (+ 1 (/ y (- 1 y))) 2) (pow (- 1 y) 2)))) (/ 1 (* (+ 1 (/ y (- 1 y))) (- 1 y)))))) (log (+ 1 (/ y (- 1 y)))))> |
#<alt (- (+ 1 (* x (+ (* x (+ (* 1/3 (/ x (* (pow (+ 1 (/ y (- 1 y))) 3) (pow (- 1 y) 3)))) (* 1/2 (/ 1 (* (pow (+ 1 (/ y (- 1 y))) 2) (pow (- 1 y) 2)))))) (/ 1 (* (+ 1 (/ y (- 1 y))) (- 1 y)))))) (log (+ 1 (/ y (- 1 y)))))> |
#<alt (- 1 (+ (log (neg (/ 1 (- 1 y)))) (* -1 (log (/ 1 x)))))> |
#<alt (- (+ 1 (/ (* (+ 1 (/ y (- 1 y))) (- 1 y)) x)) (+ (log (neg (/ 1 (- 1 y)))) (* -1 (log (/ 1 x)))))> |
#<alt (- (+ 1 (* 1/2 (/ (* (pow (+ 1 (/ y (- 1 y))) 2) (pow (- 1 y) 2)) (pow x 2)))) (+ (log (neg (/ 1 (- 1 y)))) (+ (* -1 (log (/ 1 x))) (* -1 (/ (* (+ 1 (/ y (- 1 y))) (- 1 y)) x)))))> |
#<alt (- (+ 1 (* 1/3 (/ (* (pow (+ 1 (/ y (- 1 y))) 3) (pow (- 1 y) 3)) (pow x 3)))) (+ (log (neg (/ 1 (- 1 y)))) (+ (* -1 (log (/ 1 x))) (+ (* -1 (/ (* (+ 1 (/ y (- 1 y))) (- 1 y)) x)) (* -1/2 (/ (* (pow (+ 1 (/ y (- 1 y))) 2) (pow (- 1 y) 2)) (pow x 2)))))))> |
#<alt (- 1 (+ (log (/ 1 (- 1 y))) (* -1 (log (/ -1 x)))))> |
#<alt (- (+ 1 (/ (* (- 1 y) (- 1 (* -1 (/ y (- 1 y))))) x)) (+ (log (/ 1 (- 1 y))) (* -1 (log (/ -1 x)))))> |
#<alt (- (+ 1 (* -1 (/ (- (* -1/2 (/ (* (pow (- 1 y) 2) (pow (- 1 (* -1 (/ y (- 1 y)))) 2)) x)) (* (- 1 y) (- 1 (* -1 (/ y (- 1 y)))))) x))) (+ (log (/ 1 (- 1 y))) (* -1 (log (/ -1 x)))))> |
#<alt (- (+ 1 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ (* (pow (- 1 y) 3) (pow (- 1 (* -1 (/ y (- 1 y)))) 3)) x)) (* -1/2 (* (pow (- 1 y) 2) (pow (- 1 (* -1 (/ y (- 1 y)))) 2)))) x)) (* (- 1 y) (- 1 (* -1 (/ y (- 1 y)))))) x))) (+ (log (/ 1 (- 1 y))) (* -1 (log (/ -1 x)))))> |
#<alt (- 1 (log (- 1 x)))> |
#<alt (- (+ 1 (* -1 (* y (+ (* -1 (/ x (- 1 x))) (/ 1 (- 1 x)))))) (log (- 1 x)))> |
#<alt (- (+ 1 (* y (- (* -1/2 (* y (+ (* -1 (/ (pow (+ 1 (* -1 x)) 2) (pow (- 1 x) 2))) (* 2 (/ (+ 1 (* -1 x)) (- 1 x)))))) (+ (* -1 (/ x (- 1 x))) (/ 1 (- 1 x)))))) (log (- 1 x)))> |
#<alt (- (+ 1 (* y (- (* y (- (* -1/6 (* y (+ (* -6 (/ (pow (+ 1 (* -1 x)) 2) (pow (- 1 x) 2))) (+ (* 2 (/ (pow (+ 1 (* -1 x)) 3) (pow (- 1 x) 3))) (* 6 (/ (+ 1 (* -1 x)) (- 1 x))))))) (* 1/2 (+ (* -1 (/ (pow (+ 1 (* -1 x)) 2) (pow (- 1 x) 2))) (* 2 (/ (+ 1 (* -1 x)) (- 1 x))))))) (+ (* -1 (/ x (- 1 x))) (/ 1 (- 1 x)))))) (log (- 1 x)))> |
#<alt (- 1 (+ (log (neg (+ 1 (* -1 x)))) (log (/ 1 y))))> |
#<alt (- (+ 1 (/ x (* y (+ 1 (* -1 x))))) (+ (log (neg (+ 1 (* -1 x)))) (+ (log (/ 1 y)) (/ 1 (* y (+ 1 (* -1 x)))))))> |
#<alt (- (+ 1 (* -1/2 (/ (+ (* -2 (/ (- x 1) (+ 1 (* -1 x)))) (* -1 (/ (pow (- x 1) 2) (pow (+ 1 (* -1 x)) 2)))) (pow y 2)))) (+ (log (neg (+ 1 (* -1 x)))) (+ (log (/ 1 y)) (* -1 (/ (- x 1) (* y (+ 1 (* -1 x))))))))> |
#<alt (- (+ 1 (* -1/6 (/ (+ (* -6 (/ (- x 1) (+ 1 (* -1 x)))) (+ (* -6 (/ (pow (- x 1) 2) (pow (+ 1 (* -1 x)) 2))) (* -2 (/ (pow (- x 1) 3) (pow (+ 1 (* -1 x)) 3))))) (pow y 3)))) (+ (log (neg (+ 1 (* -1 x)))) (+ (log (/ 1 y)) (+ (* -1 (/ (- x 1) (* y (+ 1 (* -1 x))))) (* 1/2 (/ (+ (* -2 (/ (- x 1) (+ 1 (* -1 x)))) (* -1 (/ (pow (- x 1) 2) (pow (+ 1 (* -1 x)) 2)))) (pow y 2)))))))> |
#<alt (- 1 (+ (log (- 1 x)) (log (/ -1 y))))> |
#<alt (- (+ 1 (* -1 (/ (- (/ 1 (- 1 x)) (/ x (- 1 x))) y))) (+ (log (- 1 x)) (log (/ -1 y))))> |
#<alt (- (+ 1 (* -1 (/ (- (+ (* 1/2 (/ (+ (* -1 (/ (pow (- x 1) 2) (pow (- 1 x) 2))) (* 2 (/ (+ 1 (* -1 x)) (- 1 x)))) y)) (/ 1 (- 1 x))) (/ x (- 1 x))) y))) (+ (log (- 1 x)) (log (/ -1 y))))> |
#<alt (- (+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* 1/6 (/ (+ (* -6 (/ (* (+ 1 (* -1 x)) (- x 1)) (pow (- 1 x) 2))) (+ (* 2 (/ (pow (- x 1) 3) (pow (- 1 x) 3))) (* 6 (/ (- x 1) (- 1 x))))) y)) (* 1/2 (+ (* -1 (/ (pow (- x 1) 2) (pow (- 1 x) 2))) (* 2 (/ (+ 1 (* -1 x)) (- 1 x)))))) y)) (/ 1 (- 1 x))) (/ x (- 1 x))) y))) (+ (log (- 1 x)) (log (/ -1 y))))> |
#<alt (+ 1 (/ y (- 1 y)))> |
#<alt (+ 1 (+ (* -1 (/ x (- 1 y))) (/ y (- 1 y))))> |
#<alt (+ 1 (+ (* -1 (/ x (- 1 y))) (/ y (- 1 y))))> |
#<alt (+ 1 (+ (* -1 (/ x (- 1 y))) (/ y (- 1 y))))> |
#<alt (* -1 (/ x (- 1 y)))> |
#<alt (* x (- (+ (/ 1 x) (/ y (* x (- 1 y)))) (/ 1 (- 1 y))))> |
#<alt (* x (- (+ (/ 1 x) (/ y (* x (- 1 y)))) (/ 1 (- 1 y))))> |
#<alt (* x (- (+ (/ 1 x) (/ y (* x (- 1 y)))) (/ 1 (- 1 y))))> |
#<alt (* -1 (/ x (- 1 y)))> |
#<alt (* -1 (* x (+ (* -1 (/ (- 1 (* -1 (/ y (- 1 y)))) x)) (/ 1 (- 1 y)))))> |
#<alt (* -1 (* x (+ (* -1 (/ (- 1 (* -1 (/ y (- 1 y)))) x)) (/ 1 (- 1 y)))))> |
#<alt (* -1 (* x (+ (* -1 (/ (- 1 (* -1 (/ y (- 1 y)))) x)) (/ 1 (- 1 y)))))> |
#<alt (- 1 x)> |
#<alt (- (+ 1 (* y (+ 1 (* -1 x)))) x)> |
#<alt (- (+ 1 (* y (+ 1 (+ (* -1 x) (* y (+ 1 (* -1 x))))))) x)> |
#<alt (- (+ 1 (* y (+ 1 (+ (* -1 x) (* y (+ 1 (+ (* -1 x) (* y (+ 1 (* -1 x)))))))))) x)> |
#<alt (* -1 (/ (+ 1 (* -1 x)) y))> |
#<alt (/ (- (/ x y) (+ 1 (+ (* -1 x) (/ 1 y)))) y)> |
#<alt (/ (- (+ (/ x y) (/ x (pow y 2))) (+ 1 (+ (* -1 x) (+ (/ 1 y) (/ 1 (pow y 2)))))) y)> |
#<alt (/ (- (+ (/ x y) (+ (/ x (pow y 2)) (/ x (pow y 3)))) (+ 1 (+ (* -1 x) (+ (/ 1 y) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3))))))) y)> |
#<alt (* -1 (/ (- 1 x) y))> |
#<alt (* -1 (/ (- (+ 1 (* -1 (/ (- x 1) y))) x) y))> |
#<alt (* -1 (/ (- (+ 1 (* -1 (/ (- (+ x (* -1 (/ (+ 1 (* -1 x)) y))) 1) y))) x) y))> |
#<alt (* -1 (/ (- (+ 1 (* -1 (/ (- (+ x (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- x 1) y)))) y))) 1) y))) x) y))> |
#<alt (* -1 (/ y (- 1 y)))> |
#<alt (+ (* -1 (/ y (- 1 y))) (/ x (- 1 y)))> |
#<alt (+ (* -1 (/ y (- 1 y))) (/ x (- 1 y)))> |
#<alt (+ (* -1 (/ y (- 1 y))) (/ x (- 1 y)))> |
#<alt (/ x (- 1 y))> |
#<alt (* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y))))> |
#<alt (* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y))))> |
#<alt (* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y))))> |
#<alt (/ x (- 1 y))> |
#<alt (* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y)))))> |
#<alt (* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y)))))> |
#<alt (* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y)))))> |
#<alt x> |
#<alt (+ x (* -1 (* y (+ 1 (* -1 x)))))> |
#<alt (+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))))> |
#<alt (+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x)))))> |
#<alt 1> |
#<alt (+ 1 (+ (* -1 (/ x y)) (/ 1 y)))> |
#<alt (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 2))))))> |
#<alt (- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 3))) (+ (/ 1 y) (/ 1 (pow y 3)))))) (* -1 (/ (+ 1 (* -1 x)) (pow y 2))))> |
#<alt 1> |
#<alt (+ 1 (* -1 (/ (- x 1) y)))> |
#<alt (+ 1 (* -1 (/ (- (+ x (* -1 (/ (- 1 x) y))) 1) y)))> |
#<alt (+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (+ 1 (* -1 (/ (- x 1) y))) x) y))) 1) y)))> |
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (/ (- x y) (- 1 y)) |
| 1.0ms | y | @ | -inf | (log (- 1 (/ (- x y) (- 1 y)))) |
| 1.0ms | y | @ | inf | (log (- 1 (/ (- x y) (- 1 y)))) |
| 1.0ms | y | @ | 0 | (log (- 1 (/ (- x y) (- 1 y)))) |
| 1.0ms | x | @ | -inf | (log (- 1 (/ (- x y) (- 1 y)))) |
| 1× | batch-egg-rewrite |
| 4 848× | lower-fma.f64 |
| 4 848× | lower-fma.f32 |
| 4 138× | lower-*.f64 |
| 4 138× | lower-*.f32 |
| 3 436× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 38 |
| 0 | 15 | 38 |
| 1 | 77 | 38 |
| 2 | 662 | 38 |
| 0 | 8723 | 34 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))) |
(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) |
(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| Outputs |
|---|
(log.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) |
(+.f64 (log1p.f64 (/.f64 (*.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y))) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))))) (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64))))) |
(+.f64 (log1p.f64 (/.f64 (*.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y))) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))))) (neg.f64 (log1p.f64 (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))))) |
(+.f64 (log1p.f64 (/.f64 (*.f64 (-.f64 x y) (-.f64 x y)) (*.f64 (-.f64 #s(literal 1 binary64) y) (+.f64 y #s(literal -1 binary64))))) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))))) |
(+.f64 (log1p.f64 (/.f64 (*.f64 (-.f64 x y) (-.f64 x y)) (*.f64 (-.f64 #s(literal 1 binary64) y) (+.f64 y #s(literal -1 binary64))))) (neg.f64 (log1p.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))))) |
(-.f64 (log1p.f64 (/.f64 (*.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y))) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))))) (log1p.f64 (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))))) |
(-.f64 (log1p.f64 (/.f64 (*.f64 (-.f64 x y) (-.f64 x y)) (*.f64 (-.f64 #s(literal 1 binary64) y) (+.f64 y #s(literal -1 binary64))))) (log1p.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))) |
(-.f64 (log.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y))) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)))))) (log.f64 (neg.f64 (fma.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64))))) |
(-.f64 (log.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 (-.f64 x y) (-.f64 x y)) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))))) (log.f64 (+.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))) #s(literal -1 binary64)))) |
(neg.f64 (neg.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 (/.f64 (*.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y))) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) #s(literal 3 binary64))) (fma.f64 (log1p.f64 (/.f64 (*.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y))) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))))) (log1p.f64 (/.f64 (*.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y))) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))))) (fma.f64 (log1p.f64 (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) (log1p.f64 (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) (*.f64 (log1p.f64 (/.f64 (*.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y))) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))))) (log1p.f64 (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))))))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 (/.f64 (*.f64 (-.f64 x y) (-.f64 x y)) (*.f64 (-.f64 #s(literal 1 binary64) y) (+.f64 y #s(literal -1 binary64))))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) #s(literal 3 binary64))) (fma.f64 (log1p.f64 (/.f64 (*.f64 (-.f64 x y) (-.f64 x y)) (*.f64 (-.f64 #s(literal 1 binary64) y) (+.f64 y #s(literal -1 binary64))))) (log1p.f64 (/.f64 (*.f64 (-.f64 x y) (-.f64 x y)) (*.f64 (-.f64 #s(literal 1 binary64) y) (+.f64 y #s(literal -1 binary64))))) (fma.f64 (log1p.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) (log1p.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) (*.f64 (log1p.f64 (/.f64 (*.f64 (-.f64 x y) (-.f64 x y)) (*.f64 (-.f64 #s(literal 1 binary64) y) (+.f64 y #s(literal -1 binary64))))) (log1p.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))))) |
(/.f64 (-.f64 (*.f64 (log1p.f64 (/.f64 (*.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y))) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))))) (log1p.f64 (/.f64 (*.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y))) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)))))) (*.f64 (log1p.f64 (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) (log1p.f64 (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))))) (+.f64 (log1p.f64 (/.f64 (*.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y))) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))))) (log1p.f64 (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))))) |
(/.f64 (-.f64 (*.f64 (log1p.f64 (/.f64 (*.f64 (-.f64 x y) (-.f64 x y)) (*.f64 (-.f64 #s(literal 1 binary64) y) (+.f64 y #s(literal -1 binary64))))) (log1p.f64 (/.f64 (*.f64 (-.f64 x y) (-.f64 x y)) (*.f64 (-.f64 #s(literal 1 binary64) y) (+.f64 y #s(literal -1 binary64)))))) (*.f64 (log1p.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) (log1p.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) (+.f64 (log1p.f64 (/.f64 (*.f64 (-.f64 x y) (-.f64 x y)) (*.f64 (-.f64 #s(literal 1 binary64) y) (+.f64 y #s(literal -1 binary64))))) (log1p.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) |
(log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) |
(*.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) |
(*.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (neg.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))))) |
(+.f64 (neg.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) #s(literal 1 binary64)) |
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) #s(literal 1 binary64))) (neg.f64 (/.f64 (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) #s(literal 3 binary64)) (fma.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) #s(literal 1 binary64))))) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))))) (neg.f64 (/.f64 (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))))))) |
(+.f64 (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (*.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y))) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)))))) (log1p.f64 (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))))) |
(+.f64 (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (*.f64 (-.f64 x y) (-.f64 x y)) (*.f64 (-.f64 #s(literal 1 binary64) y) (+.f64 y #s(literal -1 binary64)))))) (log1p.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))) |
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) |
(-.f64 #s(literal 0 binary64) (-.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) #s(literal 1 binary64))) |
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) #s(literal 1 binary64))) (/.f64 (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) #s(literal 3 binary64)) (fma.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) #s(literal 1 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))))) (/.f64 (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))))) |
(fma.f64 #s(literal 1 binary64) (neg.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) #s(literal 1 binary64))) (neg.f64 (/.f64 (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) #s(literal 3 binary64)) (fma.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) #s(literal 1 binary64))))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))))) (neg.f64 (/.f64 (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))))))) |
(fma.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) #s(literal -1 binary64) #s(literal 1 binary64)) |
(fma.f64 (neg.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) #s(literal 1 binary64)) |
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) #s(literal 3 binary64))) (neg.f64 (fma.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) #s(literal 1 binary64))))) |
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) #s(literal 2 binary64))) (+.f64 (neg.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) #s(literal -1 binary64)))) |
(neg.f64 (/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) #s(literal 3 binary64)))) (fma.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) #s(literal 1 binary64)))) |
(neg.f64 (/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))))) #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) #s(literal 3 binary64))) (fma.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) #s(literal 1 binary64)))) |
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(*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) |
(*.f64 (-.f64 y x) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))) |
(*.f64 (fma.f64 y y (+.f64 #s(literal 1 binary64) y)) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))))) |
(*.f64 (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 x x (*.f64 y (+.f64 x y)))))) |
(*.f64 (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 #s(literal 1 binary64) y)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (-.f64 x y)) |
(*.f64 (+.f64 #s(literal 1 binary64) y) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) (*.f64 y y)))) |
(*.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) (+.f64 x y)))) |
(*.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) y)))) |
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) |
(*.f64 (fma.f64 x (-.f64 #s(literal 1 binary64) y) (*.f64 (+.f64 y #s(literal -1 binary64)) y)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)))) |
(*.f64 (-.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)))) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 x (-.f64 #s(literal 1 binary64) y)) (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)) (+.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))))))) |
(*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (+.f64 x y)) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (+.f64 x y)))) |
(*.f64 (/.f64 (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 x y)) (-.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y (+.f64 x y))))) |
(*.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (-.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 x y))) |
(*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (fma.f64 y y (+.f64 #s(literal 1 binary64) y))) |
(*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y y (+.f64 #s(literal 1 binary64) y))))) |
(*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (+.f64 #s(literal 1 binary64) y)) |
(*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (/.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (fma.f64 y y (+.f64 #s(literal 1 binary64) y))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (/.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)))) |
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 x y))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y (+.f64 x y))))) |
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 x y) (+.f64 x y))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x y))) |
(*.f64 (/.f64 (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 x y)) (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y (+.f64 x y)))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (+.f64 #s(literal 1 binary64) y))))) |
(*.f64 (/.f64 (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 x y)) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y (+.f64 x y)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)))) |
(*.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (/.f64 #s(literal 1 binary64) (fma.f64 y y (+.f64 #s(literal 1 binary64) y))))) |
(*.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)))) |
(*.f64 (/.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 #s(literal 1 binary64) y)) (/.f64 (-.f64 x y) (fma.f64 x x (*.f64 y (+.f64 x y))))) |
(*.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) y)) (/.f64 (-.f64 x y) (+.f64 x y))) |
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 x y)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 x y)) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))))) (fma.f64 y y (+.f64 #s(literal 1 binary64) y))) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) (*.f64 y y)))) (+.f64 #s(literal 1 binary64) y)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 x y))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y (+.f64 x y))))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (*.f64 (-.f64 x y) (+.f64 x y))) (/.f64 #s(literal 1 binary64) (+.f64 x y))) |
| 1× | egg-herbie |
| 6 656× | lower-fma.f64 |
| 6 656× | lower-fma.f32 |
| 3 954× | lower-+.f64 |
| 3 954× | lower-+.f32 |
| 2 636× | lower--.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 432 | 2626 |
| 1 | 1404 | 2020 |
| 2 | 4890 | 1789 |
| 0 | 8558 | 1696 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(log (+ 1 (/ y (- 1 y)))) |
(+ (log (+ 1 (/ y (- 1 y)))) (* -1 (/ x (* (+ 1 (/ y (- 1 y))) (- 1 y))))) |
(+ (log (+ 1 (/ y (- 1 y)))) (* x (- (* -1/2 (/ x (* (pow (+ 1 (/ y (- 1 y))) 2) (pow (- 1 y) 2)))) (/ 1 (* (+ 1 (/ y (- 1 y))) (- 1 y)))))) |
(+ (log (+ 1 (/ y (- 1 y)))) (* x (- (* x (- (* -1/3 (/ x (* (pow (+ 1 (/ y (- 1 y))) 3) (pow (- 1 y) 3)))) (* 1/2 (/ 1 (* (pow (+ 1 (/ y (- 1 y))) 2) (pow (- 1 y) 2)))))) (/ 1 (* (+ 1 (/ y (- 1 y))) (- 1 y)))))) |
(+ (log (neg (/ 1 (- 1 y)))) (* -1 (log (/ 1 x)))) |
(+ (log (neg (/ 1 (- 1 y)))) (+ (* -1 (log (/ 1 x))) (* -1 (/ (* (+ 1 (/ y (- 1 y))) (- 1 y)) x)))) |
(+ (log (neg (/ 1 (- 1 y)))) (+ (* -1 (log (/ 1 x))) (+ (* -1 (/ (* (+ 1 (/ y (- 1 y))) (- 1 y)) x)) (* -1/2 (/ (* (pow (+ 1 (/ y (- 1 y))) 2) (pow (- 1 y) 2)) (pow x 2)))))) |
(+ (log (neg (/ 1 (- 1 y)))) (+ (* -1 (log (/ 1 x))) (+ (* -1 (/ (* (+ 1 (/ y (- 1 y))) (- 1 y)) x)) (+ (* -1/2 (/ (* (pow (+ 1 (/ y (- 1 y))) 2) (pow (- 1 y) 2)) (pow x 2))) (* -1/3 (/ (* (pow (+ 1 (/ y (- 1 y))) 3) (pow (- 1 y) 3)) (pow x 3))))))) |
(+ (log (/ 1 (- 1 y))) (* -1 (log (/ -1 x)))) |
(+ (log (/ 1 (- 1 y))) (+ (* -1 (log (/ -1 x))) (* -1 (/ (* (- 1 y) (- 1 (* -1 (/ y (- 1 y))))) x)))) |
(+ (log (/ 1 (- 1 y))) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* 1/2 (/ (* (pow (- 1 y) 2) (pow (- 1 (* -1 (/ y (- 1 y)))) 2)) x)) (* (- 1 y) (- 1 (* -1 (/ y (- 1 y)))))) x)))) |
(+ (log (/ 1 (- 1 y))) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow (- 1 y) 2) (pow (- 1 (* -1 (/ y (- 1 y)))) 2))) (* -1/3 (/ (* (pow (- 1 y) 3) (pow (- 1 (* -1 (/ y (- 1 y)))) 3)) x))) x)) (* (- 1 y) (- 1 (* -1 (/ y (- 1 y)))))) x)))) |
(log (- 1 x)) |
(+ (log (- 1 x)) (* y (+ (* -1 (/ x (- 1 x))) (/ 1 (- 1 x))))) |
(+ (log (- 1 x)) (* y (+ (* -1 (/ x (- 1 x))) (+ (* 1/2 (* y (+ (* -1 (/ (pow (+ 1 (* -1 x)) 2) (pow (- 1 x) 2))) (* 2 (/ (+ 1 (* -1 x)) (- 1 x)))))) (/ 1 (- 1 x)))))) |
(+ (log (- 1 x)) (* y (+ (* -1 (/ x (- 1 x))) (+ (* y (+ (* 1/6 (* y (+ (* -6 (/ (pow (+ 1 (* -1 x)) 2) (pow (- 1 x) 2))) (+ (* 2 (/ (pow (+ 1 (* -1 x)) 3) (pow (- 1 x) 3))) (* 6 (/ (+ 1 (* -1 x)) (- 1 x))))))) (* 1/2 (+ (* -1 (/ (pow (+ 1 (* -1 x)) 2) (pow (- 1 x) 2))) (* 2 (/ (+ 1 (* -1 x)) (- 1 x))))))) (/ 1 (- 1 x)))))) |
(+ (log (neg (+ 1 (* -1 x)))) (log (/ 1 y))) |
(+ (log (neg (+ 1 (* -1 x)))) (+ (log (/ 1 y)) (* -1 (/ (- x 1) (* y (+ 1 (* -1 x))))))) |
(+ (log (neg (+ 1 (* -1 x)))) (+ (log (/ 1 y)) (+ (* -1 (/ (- x 1) (* y (+ 1 (* -1 x))))) (* 1/2 (/ (+ (* -2 (/ (- x 1) (+ 1 (* -1 x)))) (* -1 (/ (pow (- x 1) 2) (pow (+ 1 (* -1 x)) 2)))) (pow y 2)))))) |
(+ (log (neg (+ 1 (* -1 x)))) (+ (log (/ 1 y)) (+ (* -1 (/ (- x 1) (* y (+ 1 (* -1 x))))) (+ (* 1/6 (/ (+ (* -6 (/ (- x 1) (+ 1 (* -1 x)))) (+ (* -6 (/ (pow (- x 1) 2) (pow (+ 1 (* -1 x)) 2))) (* -2 (/ (pow (- x 1) 3) (pow (+ 1 (* -1 x)) 3))))) (pow y 3))) (* 1/2 (/ (+ (* -2 (/ (- x 1) (+ 1 (* -1 x)))) (* -1 (/ (pow (- x 1) 2) (pow (+ 1 (* -1 x)) 2)))) (pow y 2))))))) |
(+ (log (- 1 x)) (log (/ -1 y))) |
(+ (log (- 1 x)) (+ (log (/ -1 y)) (* -1 (/ (- (/ x (- 1 x)) (/ 1 (- 1 x))) y)))) |
(+ (log (- 1 x)) (+ (log (/ -1 y)) (* -1 (/ (- (+ (* -1/2 (/ (+ (* -1 (/ (pow (- x 1) 2) (pow (- 1 x) 2))) (* 2 (/ (+ 1 (* -1 x)) (- 1 x)))) y)) (/ x (- 1 x))) (/ 1 (- 1 x))) y)))) |
(+ (log (- 1 x)) (+ (log (/ -1 y)) (* -1 (/ (- (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -6 (/ (* (+ 1 (* -1 x)) (- x 1)) (pow (- 1 x) 2))) (+ (* 2 (/ (pow (- x 1) 3) (pow (- 1 x) 3))) (* 6 (/ (- x 1) (- 1 x))))) y)) (* 1/2 (+ (* -1 (/ (pow (- x 1) 2) (pow (- 1 x) 2))) (* 2 (/ (+ 1 (* -1 x)) (- 1 x)))))) y)) (/ x (- 1 x))) (/ 1 (- 1 x))) y)))) |
(- 1 (log (+ 1 (/ y (- 1 y))))) |
(- (+ 1 (/ x (* (+ 1 (/ y (- 1 y))) (- 1 y)))) (log (+ 1 (/ y (- 1 y))))) |
(- (+ 1 (* x (+ (* 1/2 (/ x (* (pow (+ 1 (/ y (- 1 y))) 2) (pow (- 1 y) 2)))) (/ 1 (* (+ 1 (/ y (- 1 y))) (- 1 y)))))) (log (+ 1 (/ y (- 1 y))))) |
(- (+ 1 (* x (+ (* x (+ (* 1/3 (/ x (* (pow (+ 1 (/ y (- 1 y))) 3) (pow (- 1 y) 3)))) (* 1/2 (/ 1 (* (pow (+ 1 (/ y (- 1 y))) 2) (pow (- 1 y) 2)))))) (/ 1 (* (+ 1 (/ y (- 1 y))) (- 1 y)))))) (log (+ 1 (/ y (- 1 y))))) |
(- 1 (+ (log (neg (/ 1 (- 1 y)))) (* -1 (log (/ 1 x))))) |
(- (+ 1 (/ (* (+ 1 (/ y (- 1 y))) (- 1 y)) x)) (+ (log (neg (/ 1 (- 1 y)))) (* -1 (log (/ 1 x))))) |
(- (+ 1 (* 1/2 (/ (* (pow (+ 1 (/ y (- 1 y))) 2) (pow (- 1 y) 2)) (pow x 2)))) (+ (log (neg (/ 1 (- 1 y)))) (+ (* -1 (log (/ 1 x))) (* -1 (/ (* (+ 1 (/ y (- 1 y))) (- 1 y)) x))))) |
(- (+ 1 (* 1/3 (/ (* (pow (+ 1 (/ y (- 1 y))) 3) (pow (- 1 y) 3)) (pow x 3)))) (+ (log (neg (/ 1 (- 1 y)))) (+ (* -1 (log (/ 1 x))) (+ (* -1 (/ (* (+ 1 (/ y (- 1 y))) (- 1 y)) x)) (* -1/2 (/ (* (pow (+ 1 (/ y (- 1 y))) 2) (pow (- 1 y) 2)) (pow x 2))))))) |
(- 1 (+ (log (/ 1 (- 1 y))) (* -1 (log (/ -1 x))))) |
(- (+ 1 (/ (* (- 1 y) (- 1 (* -1 (/ y (- 1 y))))) x)) (+ (log (/ 1 (- 1 y))) (* -1 (log (/ -1 x))))) |
(- (+ 1 (* -1 (/ (- (* -1/2 (/ (* (pow (- 1 y) 2) (pow (- 1 (* -1 (/ y (- 1 y)))) 2)) x)) (* (- 1 y) (- 1 (* -1 (/ y (- 1 y)))))) x))) (+ (log (/ 1 (- 1 y))) (* -1 (log (/ -1 x))))) |
(- (+ 1 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ (* (pow (- 1 y) 3) (pow (- 1 (* -1 (/ y (- 1 y)))) 3)) x)) (* -1/2 (* (pow (- 1 y) 2) (pow (- 1 (* -1 (/ y (- 1 y)))) 2)))) x)) (* (- 1 y) (- 1 (* -1 (/ y (- 1 y)))))) x))) (+ (log (/ 1 (- 1 y))) (* -1 (log (/ -1 x))))) |
(- 1 (log (- 1 x))) |
(- (+ 1 (* -1 (* y (+ (* -1 (/ x (- 1 x))) (/ 1 (- 1 x)))))) (log (- 1 x))) |
(- (+ 1 (* y (- (* -1/2 (* y (+ (* -1 (/ (pow (+ 1 (* -1 x)) 2) (pow (- 1 x) 2))) (* 2 (/ (+ 1 (* -1 x)) (- 1 x)))))) (+ (* -1 (/ x (- 1 x))) (/ 1 (- 1 x)))))) (log (- 1 x))) |
(- (+ 1 (* y (- (* y (- (* -1/6 (* y (+ (* -6 (/ (pow (+ 1 (* -1 x)) 2) (pow (- 1 x) 2))) (+ (* 2 (/ (pow (+ 1 (* -1 x)) 3) (pow (- 1 x) 3))) (* 6 (/ (+ 1 (* -1 x)) (- 1 x))))))) (* 1/2 (+ (* -1 (/ (pow (+ 1 (* -1 x)) 2) (pow (- 1 x) 2))) (* 2 (/ (+ 1 (* -1 x)) (- 1 x))))))) (+ (* -1 (/ x (- 1 x))) (/ 1 (- 1 x)))))) (log (- 1 x))) |
(- 1 (+ (log (neg (+ 1 (* -1 x)))) (log (/ 1 y)))) |
(- (+ 1 (/ x (* y (+ 1 (* -1 x))))) (+ (log (neg (+ 1 (* -1 x)))) (+ (log (/ 1 y)) (/ 1 (* y (+ 1 (* -1 x))))))) |
(- (+ 1 (* -1/2 (/ (+ (* -2 (/ (- x 1) (+ 1 (* -1 x)))) (* -1 (/ (pow (- x 1) 2) (pow (+ 1 (* -1 x)) 2)))) (pow y 2)))) (+ (log (neg (+ 1 (* -1 x)))) (+ (log (/ 1 y)) (* -1 (/ (- x 1) (* y (+ 1 (* -1 x)))))))) |
(- (+ 1 (* -1/6 (/ (+ (* -6 (/ (- x 1) (+ 1 (* -1 x)))) (+ (* -6 (/ (pow (- x 1) 2) (pow (+ 1 (* -1 x)) 2))) (* -2 (/ (pow (- x 1) 3) (pow (+ 1 (* -1 x)) 3))))) (pow y 3)))) (+ (log (neg (+ 1 (* -1 x)))) (+ (log (/ 1 y)) (+ (* -1 (/ (- x 1) (* y (+ 1 (* -1 x))))) (* 1/2 (/ (+ (* -2 (/ (- x 1) (+ 1 (* -1 x)))) (* -1 (/ (pow (- x 1) 2) (pow (+ 1 (* -1 x)) 2)))) (pow y 2))))))) |
(- 1 (+ (log (- 1 x)) (log (/ -1 y)))) |
(- (+ 1 (* -1 (/ (- (/ 1 (- 1 x)) (/ x (- 1 x))) y))) (+ (log (- 1 x)) (log (/ -1 y)))) |
(- (+ 1 (* -1 (/ (- (+ (* 1/2 (/ (+ (* -1 (/ (pow (- x 1) 2) (pow (- 1 x) 2))) (* 2 (/ (+ 1 (* -1 x)) (- 1 x)))) y)) (/ 1 (- 1 x))) (/ x (- 1 x))) y))) (+ (log (- 1 x)) (log (/ -1 y)))) |
(- (+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* 1/6 (/ (+ (* -6 (/ (* (+ 1 (* -1 x)) (- x 1)) (pow (- 1 x) 2))) (+ (* 2 (/ (pow (- x 1) 3) (pow (- 1 x) 3))) (* 6 (/ (- x 1) (- 1 x))))) y)) (* 1/2 (+ (* -1 (/ (pow (- x 1) 2) (pow (- 1 x) 2))) (* 2 (/ (+ 1 (* -1 x)) (- 1 x)))))) y)) (/ 1 (- 1 x))) (/ x (- 1 x))) y))) (+ (log (- 1 x)) (log (/ -1 y)))) |
(+ 1 (/ y (- 1 y))) |
(+ 1 (+ (* -1 (/ x (- 1 y))) (/ y (- 1 y)))) |
(+ 1 (+ (* -1 (/ x (- 1 y))) (/ y (- 1 y)))) |
(+ 1 (+ (* -1 (/ x (- 1 y))) (/ y (- 1 y)))) |
(* -1 (/ x (- 1 y))) |
(* x (- (+ (/ 1 x) (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(* x (- (+ (/ 1 x) (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(* x (- (+ (/ 1 x) (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(* -1 (/ x (- 1 y))) |
(* -1 (* x (+ (* -1 (/ (- 1 (* -1 (/ y (- 1 y)))) x)) (/ 1 (- 1 y))))) |
(* -1 (* x (+ (* -1 (/ (- 1 (* -1 (/ y (- 1 y)))) x)) (/ 1 (- 1 y))))) |
(* -1 (* x (+ (* -1 (/ (- 1 (* -1 (/ y (- 1 y)))) x)) (/ 1 (- 1 y))))) |
(- 1 x) |
(- (+ 1 (* y (+ 1 (* -1 x)))) x) |
(- (+ 1 (* y (+ 1 (+ (* -1 x) (* y (+ 1 (* -1 x))))))) x) |
(- (+ 1 (* y (+ 1 (+ (* -1 x) (* y (+ 1 (+ (* -1 x) (* y (+ 1 (* -1 x)))))))))) x) |
(* -1 (/ (+ 1 (* -1 x)) y)) |
(/ (- (/ x y) (+ 1 (+ (* -1 x) (/ 1 y)))) y) |
(/ (- (+ (/ x y) (/ x (pow y 2))) (+ 1 (+ (* -1 x) (+ (/ 1 y) (/ 1 (pow y 2)))))) y) |
(/ (- (+ (/ x y) (+ (/ x (pow y 2)) (/ x (pow y 3)))) (+ 1 (+ (* -1 x) (+ (/ 1 y) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3))))))) y) |
(* -1 (/ (- 1 x) y)) |
(* -1 (/ (- (+ 1 (* -1 (/ (- x 1) y))) x) y)) |
(* -1 (/ (- (+ 1 (* -1 (/ (- (+ x (* -1 (/ (+ 1 (* -1 x)) y))) 1) y))) x) y)) |
(* -1 (/ (- (+ 1 (* -1 (/ (- (+ x (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- x 1) y)))) y))) 1) y))) x) y)) |
(* -1 (/ y (- 1 y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(/ x (- 1 y)) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(/ x (- 1 y)) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
x |
(+ x (* -1 (* y (+ 1 (* -1 x))))) |
(+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
(+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
1 |
(+ 1 (+ (* -1 (/ x y)) (/ 1 y))) |
(+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 2)))))) |
(- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 3))) (+ (/ 1 y) (/ 1 (pow y 3)))))) (* -1 (/ (+ 1 (* -1 x)) (pow y 2)))) |
1 |
(+ 1 (* -1 (/ (- x 1) y))) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- 1 x) y))) 1) y))) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (+ 1 (* -1 (/ (- x 1) y))) x) y))) 1) y))) |
| Outputs |
|---|
(log (+ 1 (/ y (- 1 y)))) |
(log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y))) |
(+ (log (+ 1 (/ y (- 1 y)))) (* -1 (/ x (* (+ 1 (/ y (- 1 y))) (- 1 y))))) |
(-.f64 (log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y))) (/.f64 x (*.f64 (-.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y)))))) |
(+ (log (+ 1 (/ y (- 1 y)))) (* x (- (* -1/2 (/ x (* (pow (+ 1 (/ y (- 1 y))) 2) (pow (- 1 y) 2)))) (/ 1 (* (+ 1 (/ y (- 1 y))) (- 1 y)))))) |
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(+ (log (+ 1 (/ y (- 1 y)))) (* x (- (* x (- (* -1/3 (/ x (* (pow (+ 1 (/ y (- 1 y))) 3) (pow (- 1 y) 3)))) (* 1/2 (/ 1 (* (pow (+ 1 (/ y (- 1 y))) 2) (pow (- 1 y) 2)))))) (/ 1 (* (+ 1 (/ y (- 1 y))) (- 1 y)))))) |
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(- (+ 1 (/ x (* y (+ 1 (* -1 x))))) (+ (log (neg (+ 1 (* -1 x)))) (+ (log (/ 1 y)) (/ 1 (* y (+ 1 (* -1 x))))))) |
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (-.f64 y (*.f64 y x))) (+.f64 (-.f64 (log.f64 y) (log.f64 (+.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal 1 binary64) (fma.f64 y x (neg.f64 y)))))) |
(- (+ 1 (* -1/2 (/ (+ (* -2 (/ (- x 1) (+ 1 (* -1 x)))) (* -1 (/ (pow (- x 1) 2) (pow (+ 1 (* -1 x)) 2)))) (pow y 2)))) (+ (log (neg (+ 1 (* -1 x)))) (+ (log (/ 1 y)) (* -1 (/ (- x 1) (* y (+ 1 (* -1 x)))))))) |
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 y y)) (+.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 (log.f64 y) (log.f64 (+.f64 #s(literal -1 binary64) x)))))) |
(- (+ 1 (* -1/6 (/ (+ (* -6 (/ (- x 1) (+ 1 (* -1 x)))) (+ (* -6 (/ (pow (- x 1) 2) (pow (+ 1 (* -1 x)) 2))) (* -2 (/ (pow (- x 1) 3) (pow (+ 1 (* -1 x)) 3))))) (pow y 3)))) (+ (log (neg (+ 1 (* -1 x)))) (+ (log (/ 1 y)) (+ (* -1 (/ (- x 1) (* y (+ 1 (* -1 x))))) (* 1/2 (/ (+ (* -2 (/ (- x 1) (+ 1 (* -1 x)))) (* -1 (/ (pow (- x 1) 2) (pow (+ 1 (* -1 x)) 2)))) (pow y 2))))))) |
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y (*.f64 y y)))) (-.f64 (-.f64 (log.f64 y) (log.f64 (+.f64 #s(literal -1 binary64) x))) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))))) |
(- 1 (+ (log (- 1 x)) (log (/ -1 y)))) |
(-.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (neg.f64 y)))) (log1p.f64 (neg.f64 x))) |
(- (+ 1 (* -1 (/ (- (/ 1 (- 1 x)) (/ x (- 1 x))) y))) (+ (log (- 1 x)) (log (/ -1 y)))) |
(-.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (log1p.f64 (neg.f64 x))) (neg.f64 (log.f64 (neg.f64 y)))) |
(- (+ 1 (* -1 (/ (- (+ (* 1/2 (/ (+ (* -1 (/ (pow (- x 1) 2) (pow (- 1 x) 2))) (* 2 (/ (+ 1 (* -1 x)) (- 1 x)))) y)) (/ 1 (- 1 x))) (/ x (- 1 x))) y))) (+ (log (- 1 x)) (log (/ -1 y)))) |
(+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) y)) y) (-.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (neg.f64 y)))) (log1p.f64 (neg.f64 x)))) |
(- (+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* 1/6 (/ (+ (* -6 (/ (* (+ 1 (* -1 x)) (- x 1)) (pow (- 1 x) 2))) (+ (* 2 (/ (pow (- x 1) 3) (pow (- 1 x) 3))) (* 6 (/ (- x 1) (- 1 x))))) y)) (* 1/2 (+ (* -1 (/ (pow (- x 1) 2) (pow (- 1 x) 2))) (* 2 (/ (+ 1 (* -1 x)) (- 1 x)))))) y)) (/ 1 (- 1 x))) (/ x (- 1 x))) y))) (+ (log (- 1 x)) (log (/ -1 y)))) |
(-.f64 (-.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (neg.f64 y)))) (log1p.f64 (neg.f64 x))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/3 binary64) y)) y)) y)) |
(+ 1 (/ y (- 1 y))) |
(+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y))) |
(+ 1 (+ (* -1 (/ x (- 1 y))) (/ y (- 1 y)))) |
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)) (/.f64 x (+.f64 y #s(literal -1 binary64))))) |
(+ 1 (+ (* -1 (/ x (- 1 y))) (/ y (- 1 y)))) |
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)) (/.f64 x (+.f64 y #s(literal -1 binary64))))) |
(+ 1 (+ (* -1 (/ x (- 1 y))) (/ y (- 1 y)))) |
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)) (/.f64 x (+.f64 y #s(literal -1 binary64))))) |
(* -1 (/ x (- 1 y))) |
(/.f64 x (+.f64 y #s(literal -1 binary64))) |
(* x (- (+ (/ 1 x) (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(+.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 y (-.f64 x (*.f64 y x))) (/.f64 x (+.f64 y #s(literal -1 binary64))))) |
(* x (- (+ (/ 1 x) (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(+.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 y (-.f64 x (*.f64 y x))) (/.f64 x (+.f64 y #s(literal -1 binary64))))) |
(* x (- (+ (/ 1 x) (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(+.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 y (-.f64 x (*.f64 y x))) (/.f64 x (+.f64 y #s(literal -1 binary64))))) |
(* -1 (/ x (- 1 y))) |
(/.f64 x (+.f64 y #s(literal -1 binary64))) |
(* -1 (* x (+ (* -1 (/ (- 1 (* -1 (/ y (- 1 y)))) x)) (/ 1 (- 1 y))))) |
(+.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 y (-.f64 x (*.f64 y x))) (/.f64 x (+.f64 y #s(literal -1 binary64))))) |
(* -1 (* x (+ (* -1 (/ (- 1 (* -1 (/ y (- 1 y)))) x)) (/ 1 (- 1 y))))) |
(+.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 y (-.f64 x (*.f64 y x))) (/.f64 x (+.f64 y #s(literal -1 binary64))))) |
(* -1 (* x (+ (* -1 (/ (- 1 (* -1 (/ y (- 1 y)))) x)) (/ 1 (- 1 y))))) |
(+.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 y (-.f64 x (*.f64 y x))) (/.f64 x (+.f64 y #s(literal -1 binary64))))) |
(- 1 x) |
(-.f64 #s(literal 1 binary64) x) |
(- (+ 1 (* y (+ 1 (* -1 x)))) x) |
(*.f64 (+.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x)) |
(- (+ 1 (* y (+ 1 (+ (* -1 x) (* y (+ 1 (* -1 x))))))) x) |
(-.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) y) (fma.f64 y x (neg.f64 y)) x)) |
(- (+ 1 (* y (+ 1 (+ (* -1 x) (* y (+ 1 (+ (* -1 x) (* y (+ 1 (* -1 x)))))))))) x) |
(fma.f64 y (-.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) y) (fma.f64 y x (neg.f64 y)) x)) (-.f64 #s(literal 1 binary64) x)) |
(* -1 (/ (+ 1 (* -1 x)) y)) |
(/.f64 (+.f64 #s(literal -1 binary64) x) y) |
(/ (- (/ x y) (+ 1 (+ (* -1 x) (/ 1 y)))) y) |
(/.f64 (+.f64 (/.f64 x y) (+.f64 #s(literal -1 binary64) (+.f64 x (/.f64 #s(literal -1 binary64) y)))) y) |
(/ (- (+ (/ x y) (/ x (pow y 2))) (+ 1 (+ (* -1 x) (+ (/ 1 y) (/ 1 (pow y 2)))))) y) |
(/.f64 (-.f64 (+.f64 (/.f64 x (*.f64 y y)) (+.f64 (/.f64 x y) #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x))) y) |
(/ (- (+ (/ x y) (+ (/ x (pow y 2)) (/ x (pow y 3)))) (+ 1 (+ (* -1 x) (+ (/ 1 y) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3))))))) y) |
(/.f64 (-.f64 (+.f64 (+.f64 (/.f64 x y) (/.f64 x (*.f64 y y))) (+.f64 (/.f64 x (*.f64 y (*.f64 y y))) #s(literal -1 binary64))) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x)) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))))) y) |
(* -1 (/ (- 1 x) y)) |
(/.f64 (+.f64 #s(literal -1 binary64) x) y) |
(* -1 (/ (- (+ 1 (* -1 (/ (- x 1) y))) x) y)) |
(/.f64 (+.f64 #s(literal -1 binary64) (+.f64 x (/.f64 (+.f64 #s(literal -1 binary64) x) y))) y) |
(* -1 (/ (- (+ 1 (* -1 (/ (- (+ x (* -1 (/ (+ 1 (* -1 x)) y))) 1) y))) x) y)) |
(/.f64 (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (+.f64 x (/.f64 (+.f64 #s(literal -1 binary64) x) y))) y) (+.f64 #s(literal -1 binary64) x)) y) |
(* -1 (/ (- (+ 1 (* -1 (/ (- (+ x (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- x 1) y)))) y))) 1) y))) x) y)) |
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (+.f64 x (/.f64 (+.f64 #s(literal -1 binary64) x) y))) y) (+.f64 #s(literal -1 binary64) x)) y) (+.f64 #s(literal -1 binary64) x)) y) |
(* -1 (/ y (- 1 y))) |
(/.f64 y (+.f64 y #s(literal -1 binary64))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(+.f64 (/.f64 y (+.f64 y #s(literal -1 binary64))) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(+.f64 (/.f64 y (+.f64 y #s(literal -1 binary64))) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(+.f64 (/.f64 y (+.f64 y #s(literal -1 binary64))) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
(/ x (- 1 y)) |
(/.f64 x (-.f64 #s(literal 1 binary64) y)) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(fma.f64 x (/.f64 y (*.f64 x (+.f64 y #s(literal -1 binary64)))) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(fma.f64 x (/.f64 y (*.f64 x (+.f64 y #s(literal -1 binary64)))) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(fma.f64 x (/.f64 y (*.f64 x (+.f64 y #s(literal -1 binary64)))) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
(/ x (- 1 y)) |
(/.f64 x (-.f64 #s(literal 1 binary64) y)) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(fma.f64 x (/.f64 y (*.f64 x (+.f64 y #s(literal -1 binary64)))) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(fma.f64 x (/.f64 y (*.f64 x (+.f64 y #s(literal -1 binary64)))) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(fma.f64 x (/.f64 y (*.f64 x (+.f64 y #s(literal -1 binary64)))) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
x |
(+ x (* -1 (* y (+ 1 (* -1 x))))) |
(fma.f64 y (+.f64 #s(literal -1 binary64) x) x) |
(+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
(fma.f64 (+.f64 #s(literal 1 binary64) y) (fma.f64 y x (neg.f64 y)) x) |
(+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
(fma.f64 y (+.f64 (fma.f64 (+.f64 #s(literal 1 binary64) y) (fma.f64 y x (neg.f64 y)) #s(literal -1 binary64)) x) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (+ (* -1 (/ x y)) (/ 1 y))) |
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 2)))))) |
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y y))) (-.f64 #s(literal 1 binary64) (/.f64 x y))) |
(- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 3))) (+ (/ 1 y) (/ 1 (pow y 3)))))) (* -1 (/ (+ 1 (* -1 x)) (pow y 2)))) |
(+.f64 (+.f64 (fma.f64 (/.f64 #s(literal -1 binary64) y) (+.f64 x (/.f64 x (*.f64 y y))) (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y y)))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ (- x 1) y))) |
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- 1 x) y))) 1) y))) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) x)) y)) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (+ 1 (* -1 (/ (- x 1) y))) x) y))) 1) y))) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) x)) y) (-.f64 #s(literal 1 binary64) x)) y)) |
Compiled 11 108 to 1 531 computations (86.2% saved)
10 alts after pruning (10 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 346 | 10 | 356 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 347 | 10 | 357 |
| Status | Accuracy | Program |
|---|---|---|
| 69.8% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))))) | |
| ▶ | 58.0% | (-.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (log1p.f64 (neg.f64 x))) |
| ▶ | 58.7% | (-.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 x))) |
| ▶ | 69.9% | (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) |
| 36.6% | (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)))) | |
| ▶ | 60.3% | (-.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x))) |
| 41.3% | (-.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal -1 binary64) (+.f64 x (/.f64 (+.f64 #s(literal -1 binary64) x) y))) y))) | |
| ▶ | 42.9% | (-.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y))) |
| 47.2% | (-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))))) | |
| 2.3% | (-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)))) |
Compiled 222 to 166 computations (25.2% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (log1p.f64 (neg.f64 x)) |
| ✓ | cost-diff | 0 | (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (-.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (log1p.f64 (neg.f64 x))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal -1 binary64) x) |
| ✓ | cost-diff | 0 | (/.f64 (+.f64 #s(literal -1 binary64) x) y) |
| ✓ | cost-diff | 0 | (log.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y)) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y))) |
| ✓ | cost-diff | 0 | (neg.f64 x) |
| ✓ | cost-diff | 0 | (log1p.f64 (neg.f64 x)) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 1 binary64) y) |
| ✓ | cost-diff | 0 | (-.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 x))) |
| ✓ | cost-diff | 0 | (neg.f64 x) |
| ✓ | cost-diff | 0 | (log1p.f64 (neg.f64 x)) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x))) |
| ✓ | cost-diff | 0 | (-.f64 x y) |
| ✓ | cost-diff | 0 | (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))) |
| ✓ | cost-diff | 0 | (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) |
| 2 000× | lower-fma.f32 |
| 1 996× | lower-fma.f64 |
| 648× | lower-*.f64 |
| 648× | lower-*.f32 |
| 568× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 123 |
| 0 | 43 | 123 |
| 1 | 79 | 123 |
| 2 | 139 | 123 |
| 3 | 244 | 123 |
| 4 | 485 | 123 |
| 5 | 956 | 123 |
| 6 | 1436 | 123 |
| 7 | 2106 | 123 |
| 8 | 2383 | 123 |
| 9 | 2490 | 123 |
| 10 | 2507 | 123 |
| 11 | 2508 | 123 |
| 12 | 2508 | 123 |
| 0 | 2508 | 123 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) |
#s(literal 1 binary64) |
(log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) |
(/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))) |
(-.f64 x y) |
x |
y |
(+.f64 y #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(-.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x))) |
#s(literal 1 binary64) |
(log1p.f64 (neg.f64 x)) |
(neg.f64 x) |
x |
(-.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 x))) |
(-.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
(log1p.f64 (neg.f64 x)) |
(neg.f64 x) |
x |
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y))) |
#s(literal 1 binary64) |
(log.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y)) |
(/.f64 (+.f64 #s(literal -1 binary64) x) y) |
(+.f64 #s(literal -1 binary64) x) |
#s(literal -1 binary64) |
x |
y |
(-.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (log1p.f64 (neg.f64 x))) |
(fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) |
y |
(fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) |
#s(literal -1/2 binary64) |
#s(literal -1 binary64) |
#s(literal 1 binary64) |
(log1p.f64 (neg.f64 x)) |
(neg.f64 x) |
x |
| Outputs |
|---|
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) |
#s(literal 1 binary64) |
(log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) |
(/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))) |
(-.f64 x y) |
x |
y |
(+.f64 y #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(-.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x))) |
#s(literal 1 binary64) |
(log1p.f64 (neg.f64 x)) |
(neg.f64 x) |
x |
(-.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 x))) |
(-.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
(log1p.f64 (neg.f64 x)) |
(neg.f64 x) |
x |
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y))) |
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y))) |
#s(literal 1 binary64) |
(log.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y)) |
(log.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y)) |
(/.f64 (+.f64 #s(literal -1 binary64) x) y) |
(/.f64 (+.f64 x #s(literal -1 binary64)) y) |
(+.f64 #s(literal -1 binary64) x) |
(+.f64 x #s(literal -1 binary64)) |
#s(literal -1 binary64) |
x |
y |
(-.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (log1p.f64 (neg.f64 x))) |
(fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) |
y |
(fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) |
#s(literal -1/2 binary64) |
#s(literal -1 binary64) |
#s(literal 1 binary64) |
(log1p.f64 (neg.f64 x)) |
(neg.f64 x) |
x |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) |
| ✓ | accuracy | 100.0% | (neg.f64 x) |
| ✓ | accuracy | 100.0% | (log1p.f64 (neg.f64 x)) |
| ✓ | accuracy | 100.0% | (-.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (log1p.f64 (neg.f64 x))) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal -1 binary64) x) |
| ✓ | accuracy | 100.0% | (-.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y))) |
| ✓ | accuracy | 100.0% | (/.f64 (+.f64 #s(literal -1 binary64) x) y) |
| ✓ | accuracy | 94.3% | (log.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y)) |
| ✓ | accuracy | 100.0% | (-.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 x))) |
| ✓ | accuracy | 100.0% | (-.f64 #s(literal 1 binary64) y) |
| ✓ | accuracy | 100.0% | (neg.f64 x) |
| ✓ | accuracy | 100.0% | (log1p.f64 (neg.f64 x)) |
| ✓ | accuracy | 100.0% | (-.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x))) |
| ✓ | accuracy | 100.0% | (neg.f64 x) |
| ✓ | accuracy | 100.0% | (log1p.f64 (neg.f64 x)) |
| ✓ | accuracy | 100.0% | (+.f64 y #s(literal -1 binary64)) |
| ✓ | accuracy | 100.0% | (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) |
| ✓ | accuracy | 100.0% | (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))) |
| ✓ | accuracy | 74.8% | (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) |
| 27.0ms | 58× | 1 | valid |
| 21.0ms | 93× | 0 | valid |
| 17.0ms | 97× | 0 | invalid |
| 4.0ms | 8× | 2 | valid |
Compiled 125 to 26 computations (79.2% saved)
ival-sub: 11.0ms (23% of total)ival-add: 10.0ms (20.9% of total)ival-log1p: 7.0ms (14.6% of total)ival-div: 5.0ms (10.5% of total)adjust: 5.0ms (10.5% of total)ival-mult: 4.0ms (8.4% of total)ival-log: 4.0ms (8.4% of total)ival-neg: 1.0ms (2.1% of total)ival-assert: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))))> |
#<alt (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))> |
#<alt (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))> |
#<alt (-.f64 x y)> |
#<alt (-.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x)))> |
#<alt (log1p.f64 (neg.f64 x))> |
#<alt (neg.f64 x)> |
#<alt (-.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 x)))> |
#<alt (-.f64 #s(literal 1 binary64) y)> |
#<alt (-.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y)))> |
#<alt (log.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y))> |
#<alt (/.f64 (+.f64 #s(literal -1 binary64) x) y)> |
#<alt (+.f64 #s(literal -1 binary64) x)> |
#<alt (-.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (log1p.f64 (neg.f64 x)))> |
#<alt (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))> |
#<alt (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))> |
#<alt (+.f64 y #s(literal -1 binary64))> |
| Outputs |
|---|
#<alt (- 1 (log (- 1 (/ y (- y 1)))))> |
#<alt (- (+ 1 (* -1 (/ x (* (- 1 (/ y (- y 1))) (- y 1))))) (log (- 1 (/ y (- y 1)))))> |
#<alt (- (+ 1 (* x (- (* 1/2 (/ x (* (pow (- 1 (/ y (- y 1))) 2) (pow (- y 1) 2)))) (/ 1 (* (- 1 (/ y (- y 1))) (- y 1)))))) (log (- 1 (/ y (- y 1)))))> |
#<alt (- (+ 1 (* x (- (* x (+ (* -1/3 (/ x (* (pow (- 1 (/ y (- y 1))) 3) (pow (- y 1) 3)))) (* 1/2 (/ 1 (* (pow (- 1 (/ y (- y 1))) 2) (pow (- y 1) 2)))))) (/ 1 (* (- 1 (/ y (- y 1))) (- y 1)))))) (log (- 1 (/ y (- y 1)))))> |
#<alt (- 1 (+ (log (/ 1 (- y 1))) (* -1 (log (/ 1 x)))))> |
#<alt (- (+ 1 (* -1 (/ (* (- 1 (/ y (- y 1))) (- y 1)) x))) (+ (log (/ 1 (- y 1))) (* -1 (log (/ 1 x)))))> |
#<alt (- (+ 1 (* 1/2 (/ (* (pow (- 1 (/ y (- y 1))) 2) (pow (- y 1) 2)) (pow x 2)))) (+ (log (/ 1 (- y 1))) (+ (* -1 (log (/ 1 x))) (/ (* (- 1 (/ y (- y 1))) (- y 1)) x))))> |
#<alt (- (+ 1 (* -1/3 (/ (* (pow (- 1 (/ y (- y 1))) 3) (pow (- y 1) 3)) (pow x 3)))) (+ (log (/ 1 (- y 1))) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (* (pow (- 1 (/ y (- y 1))) 2) (pow (- y 1) 2)) (pow x 2))) (/ (* (- 1 (/ y (- y 1))) (- y 1)) x)))))> |
#<alt (- 1 (+ (log (neg (/ 1 (- y 1)))) (* -1 (log (/ -1 x)))))> |
#<alt (- (+ 1 (* -1 (/ (* (+ 1 (* -1 (/ y (- y 1)))) (- y 1)) x))) (+ (log (neg (/ 1 (- y 1)))) (* -1 (log (/ -1 x)))))> |
#<alt (- (+ 1 (* -1 (/ (- (* -1/2 (/ (* (pow (+ 1 (* -1 (/ y (- y 1)))) 2) (pow (- y 1) 2)) x)) (* -1 (* (+ 1 (* -1 (/ y (- y 1)))) (- y 1)))) x))) (+ (log (neg (/ 1 (- y 1)))) (* -1 (log (/ -1 x)))))> |
#<alt (- (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1/3 (/ (* (pow (+ 1 (* -1 (/ y (- y 1)))) 3) (pow (- y 1) 3)) x)) (* -1/2 (* (pow (+ 1 (* -1 (/ y (- y 1)))) 2) (pow (- y 1) 2)))) x)) (* -1 (* (+ 1 (* -1 (/ y (- y 1)))) (- y 1)))) x))) (+ (log (neg (/ 1 (- y 1)))) (* -1 (log (/ -1 x)))))> |
#<alt (- 1 (log (+ 1 (* -1 x))))> |
#<alt (- (+ 1 (* y (- (/ x (+ 1 (* -1 x))) (/ 1 (+ 1 (* -1 x)))))) (log (+ 1 (* -1 x))))> |
#<alt (- (+ 1 (* y (- (+ (* -1/2 (* y (+ (* -1 (/ (pow (- 1 x) 2) (pow (+ 1 (* -1 x)) 2))) (* 2 (/ (- 1 x) (+ 1 (* -1 x))))))) (/ x (+ 1 (* -1 x)))) (/ 1 (+ 1 (* -1 x)))))) (log (+ 1 (* -1 x))))> |
#<alt (- (+ 1 (* y (- (+ (* y (- (* -1/6 (* y (+ (* -6 (/ (pow (- 1 x) 2) (pow (+ 1 (* -1 x)) 2))) (+ (* 2 (/ (pow (- 1 x) 3) (pow (+ 1 (* -1 x)) 3))) (* 6 (/ (- 1 x) (+ 1 (* -1 x)))))))) (* 1/2 (+ (* -1 (/ (pow (- 1 x) 2) (pow (+ 1 (* -1 x)) 2))) (* 2 (/ (- 1 x) (+ 1 (* -1 x)))))))) (/ x (+ 1 (* -1 x)))) (/ 1 (+ 1 (* -1 x)))))) (log (+ 1 (* -1 x))))> |
#<alt (- 1 (+ (log (- x 1)) (log (/ 1 y))))> |
#<alt (- (+ 1 (+ (* -1 (/ x (* y (- x 1)))) (/ 1 (* y (- x 1))))) (+ (log (- x 1)) (log (/ 1 y))))> |
#<alt (- (+ 1 (* -1/2 (/ (+ (* -2 (/ (+ 1 (* -1 x)) (- x 1))) (* -1 (/ (pow (+ 1 (* -1 x)) 2) (pow (- x 1) 2)))) (pow y 2)))) (+ (log (- x 1)) (+ (log (/ 1 y)) (* -1 (/ (+ 1 (* -1 x)) (* y (- x 1)))))))> |
#<alt (- (+ 1 (* -1/6 (/ (+ (* -6 (/ (+ 1 (* -1 x)) (- x 1))) (+ (* -6 (/ (pow (+ 1 (* -1 x)) 2) (pow (- x 1) 2))) (* -2 (/ (pow (+ 1 (* -1 x)) 3) (pow (- x 1) 3))))) (pow y 3)))) (+ (log (- x 1)) (+ (log (/ 1 y)) (+ (* -1 (/ (+ 1 (* -1 x)) (* y (- x 1)))) (* 1/2 (/ (+ (* -2 (/ (+ 1 (* -1 x)) (- x 1))) (* -1 (/ (pow (+ 1 (* -1 x)) 2) (pow (- x 1) 2)))) (pow y 2)))))))> |
#<alt (- 1 (+ (log (* -1 (- x 1))) (log (/ -1 y))))> |
#<alt (- (+ 1 (* -1 (/ (- (/ x (- x 1)) (/ 1 (- x 1))) y))) (+ (log (* -1 (- x 1))) (log (/ -1 y))))> |
#<alt (- (+ 1 (* -1 (/ (- (+ (* 1/2 (/ (+ 2 (* -1 (/ (pow (- 1 x) 2) (pow (- x 1) 2)))) y)) (/ x (- x 1))) (/ 1 (- x 1))) y))) (+ (log (* -1 (- x 1))) (log (/ -1 y))))> |
#<alt (- (+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* 1/6 (/ (+ (* -6 (/ (- 1 x) (- x 1))) (+ (* 2 (/ (pow (- 1 x) 3) (pow (- x 1) 3))) (* 6 (/ (- 1 x) (- x 1))))) y)) (* 1/2 (+ 2 (* -1 (/ (pow (- 1 x) 2) (pow (- x 1) 2)))))) y)) (/ x (- x 1))) (/ 1 (- x 1))) y))) (+ (log (* -1 (- x 1))) (log (/ -1 y))))> |
#<alt (log (- 1 (/ y (- y 1))))> |
#<alt (+ (log (- 1 (/ y (- y 1)))) (/ x (* (- 1 (/ y (- y 1))) (- y 1))))> |
#<alt (+ (log (- 1 (/ y (- y 1)))) (* x (+ (* -1/2 (/ x (* (pow (- 1 (/ y (- y 1))) 2) (pow (- y 1) 2)))) (/ 1 (* (- 1 (/ y (- y 1))) (- y 1))))))> |
#<alt (+ (log (- 1 (/ y (- y 1)))) (* x (+ (* x (- (* 1/3 (/ x (* (pow (- 1 (/ y (- y 1))) 3) (pow (- y 1) 3)))) (* 1/2 (/ 1 (* (pow (- 1 (/ y (- y 1))) 2) (pow (- y 1) 2)))))) (/ 1 (* (- 1 (/ y (- y 1))) (- y 1))))))> |
#<alt (+ (log (/ 1 (- y 1))) (* -1 (log (/ 1 x))))> |
#<alt (+ (log (/ 1 (- y 1))) (+ (* -1 (log (/ 1 x))) (/ (* (- 1 (/ y (- y 1))) (- y 1)) x)))> |
#<alt (+ (log (/ 1 (- y 1))) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (* (pow (- 1 (/ y (- y 1))) 2) (pow (- y 1) 2)) (pow x 2))) (/ (* (- 1 (/ y (- y 1))) (- y 1)) x))))> |
#<alt (+ (log (/ 1 (- y 1))) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (* (pow (- 1 (/ y (- y 1))) 2) (pow (- y 1) 2)) (pow x 2))) (+ (* 1/3 (/ (* (pow (- 1 (/ y (- y 1))) 3) (pow (- y 1) 3)) (pow x 3))) (/ (* (- 1 (/ y (- y 1))) (- y 1)) x)))))> |
#<alt (+ (log (neg (/ 1 (- y 1)))) (* -1 (log (/ -1 x))))> |
#<alt (+ (log (neg (/ 1 (- y 1)))) (+ (* -1 (log (/ -1 x))) (/ (* (+ 1 (* -1 (/ y (- y 1)))) (- y 1)) x)))> |
#<alt (+ (log (neg (/ 1 (- y 1)))) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 (* (+ 1 (* -1 (/ y (- y 1)))) (- y 1))) (* 1/2 (/ (* (pow (+ 1 (* -1 (/ y (- y 1)))) 2) (pow (- y 1) 2)) x))) x))))> |
#<alt (+ (log (neg (/ 1 (- y 1)))) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 (* (+ 1 (* -1 (/ y (- y 1)))) (- y 1))) (* -1 (/ (+ (* -1/2 (* (pow (+ 1 (* -1 (/ y (- y 1)))) 2) (pow (- y 1) 2))) (* 1/3 (/ (* (pow (+ 1 (* -1 (/ y (- y 1)))) 3) (pow (- y 1) 3)) x))) x))) x))))> |
#<alt (log (+ 1 (* -1 x)))> |
#<alt (+ (log (+ 1 (* -1 x))) (* y (- (/ 1 (+ 1 (* -1 x))) (/ x (+ 1 (* -1 x))))))> |
#<alt (+ (log (+ 1 (* -1 x))) (* y (- (+ (* 1/2 (* y (+ (* -1 (/ (pow (- 1 x) 2) (pow (+ 1 (* -1 x)) 2))) (* 2 (/ (- 1 x) (+ 1 (* -1 x))))))) (/ 1 (+ 1 (* -1 x)))) (/ x (+ 1 (* -1 x))))))> |
#<alt (+ (log (+ 1 (* -1 x))) (* y (- (+ (* y (+ (* 1/6 (* y (+ (* -6 (/ (pow (- 1 x) 2) (pow (+ 1 (* -1 x)) 2))) (+ (* 2 (/ (pow (- 1 x) 3) (pow (+ 1 (* -1 x)) 3))) (* 6 (/ (- 1 x) (+ 1 (* -1 x)))))))) (* 1/2 (+ (* -1 (/ (pow (- 1 x) 2) (pow (+ 1 (* -1 x)) 2))) (* 2 (/ (- 1 x) (+ 1 (* -1 x)))))))) (/ 1 (+ 1 (* -1 x)))) (/ x (+ 1 (* -1 x))))))> |
#<alt (+ (log (- x 1)) (log (/ 1 y)))> |
#<alt (+ (log (- x 1)) (+ (log (/ 1 y)) (* -1 (/ (+ 1 (* -1 x)) (* y (- x 1))))))> |
#<alt (+ (log (- x 1)) (+ (log (/ 1 y)) (+ (* -1 (/ (+ 1 (* -1 x)) (* y (- x 1)))) (* 1/2 (/ (+ (* -2 (/ (+ 1 (* -1 x)) (- x 1))) (* -1 (/ (pow (+ 1 (* -1 x)) 2) (pow (- x 1) 2)))) (pow y 2))))))> |
#<alt (+ (log (- x 1)) (+ (log (/ 1 y)) (+ (* -1 (/ (+ 1 (* -1 x)) (* y (- x 1)))) (+ (* 1/6 (/ (+ (* -6 (/ (+ 1 (* -1 x)) (- x 1))) (+ (* -6 (/ (pow (+ 1 (* -1 x)) 2) (pow (- x 1) 2))) (* -2 (/ (pow (+ 1 (* -1 x)) 3) (pow (- x 1) 3))))) (pow y 3))) (* 1/2 (/ (+ (* -2 (/ (+ 1 (* -1 x)) (- x 1))) (* -1 (/ (pow (+ 1 (* -1 x)) 2) (pow (- x 1) 2)))) (pow y 2)))))))> |
#<alt (+ (log (* -1 (- x 1))) (log (/ -1 y)))> |
#<alt (+ (log (* -1 (- x 1))) (+ (log (/ -1 y)) (* -1 (/ (- (/ 1 (- x 1)) (/ x (- x 1))) y))))> |
#<alt (+ (log (* -1 (- x 1))) (+ (log (/ -1 y)) (* -1 (/ (- (+ (* -1/2 (/ (+ 2 (* -1 (/ (pow (- 1 x) 2) (pow (- x 1) 2)))) y)) (/ 1 (- x 1))) (/ x (- x 1))) y))))> |
#<alt (+ (log (* -1 (- x 1))) (+ (log (/ -1 y)) (* -1 (/ (- (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -6 (/ (- 1 x) (- x 1))) (+ (* 2 (/ (pow (- 1 x) 3) (pow (- x 1) 3))) (* 6 (/ (- 1 x) (- x 1))))) y)) (* 1/2 (+ 2 (* -1 (/ (pow (- 1 x) 2) (pow (- x 1) 2)))))) y)) (/ 1 (- x 1))) (/ x (- x 1))) y))))> |
#<alt (* -1 (/ y (- y 1)))> |
#<alt (+ (* -1 (/ y (- y 1))) (/ x (- y 1)))> |
#<alt (+ (* -1 (/ y (- y 1))) (/ x (- y 1)))> |
#<alt (+ (* -1 (/ y (- y 1))) (/ x (- y 1)))> |
#<alt (/ x (- y 1))> |
#<alt (* x (+ (* -1 (/ y (* x (- y 1)))) (/ 1 (- y 1))))> |
#<alt (* x (+ (* -1 (/ y (* x (- y 1)))) (/ 1 (- y 1))))> |
#<alt (* x (+ (* -1 (/ y (* x (- y 1)))) (/ 1 (- y 1))))> |
#<alt (/ x (- y 1))> |
#<alt (* -1 (* x (- (/ y (* x (- y 1))) (/ 1 (- y 1)))))> |
#<alt (* -1 (* x (- (/ y (* x (- y 1))) (/ 1 (- y 1)))))> |
#<alt (* -1 (* x (- (/ y (* x (- y 1))) (/ 1 (- y 1)))))> |
#<alt (* -1 x)> |
#<alt (+ (* -1 x) (* y (- 1 x)))> |
#<alt (+ (* -1 x) (* y (- (+ 1 (* y (- 1 x))) x)))> |
#<alt (+ (* -1 x) (* y (- (+ 1 (* y (- (* y (- 1 x)) (* -1 (- 1 x))))) x)))> |
#<alt -1> |
#<alt (- (/ x y) (+ 1 (/ 1 y)))> |
#<alt (- (+ (/ x y) (/ x (pow y 2))) (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))))> |
#<alt (- (+ (/ x y) (/ x (pow y 3))) (+ 1 (+ (* -1 (/ (- x 1) (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3))))))> |
#<alt -1> |
#<alt (- (/ x y) (+ 1 (/ 1 y)))> |
#<alt (- (* -1 (/ (- (+ (* -1 (- x 1)) (/ 1 y)) (/ x y)) y)) 1)> |
#<alt (- (* -1 (/ (+ (* -1 (- x 1)) (* -1 (/ (- (+ (* -1 (- 1 x)) (/ x y)) (/ 1 y)) y))) y)) 1)> |
#<alt (* -1 y)> |
#<alt (- x y)> |
#<alt (- x y)> |
#<alt (- x y)> |
#<alt x> |
#<alt (* x (+ 1 (* -1 (/ y x))))> |
#<alt (* x (+ 1 (* -1 (/ y x))))> |
#<alt (* x (+ 1 (* -1 (/ y x))))> |
#<alt x> |
#<alt (* -1 (* x (- (/ y x) 1)))> |
#<alt (* -1 (* x (- (/ y x) 1)))> |
#<alt (* -1 (* x (- (/ y x) 1)))> |
#<alt x> |
#<alt (+ x (* -1 y))> |
#<alt (+ x (* -1 y))> |
#<alt (+ x (* -1 y))> |
#<alt (* -1 y)> |
#<alt (* y (- (/ x y) 1))> |
#<alt (* y (- (/ x y) 1))> |
#<alt (* y (- (/ x y) 1))> |
#<alt (* -1 y)> |
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))> |
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))> |
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))> |
#<alt 1> |
#<alt (+ 1 x)> |
#<alt (+ 1 (* x (+ 1 (* 1/2 x))))> |
#<alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/3 x))))))> |
#<alt (- 1 (+ (log -1) (* -1 (log (/ 1 x)))))> |
#<alt (- (+ 1 (/ 1 x)) (+ (log -1) (* -1 (log (/ 1 x)))))> |
#<alt (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ 1 x))) (+ (log -1) (* -1 (log (/ 1 x)))))> |
#<alt (- (+ 1 (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3)))))) (+ (log -1) (* -1 (log (/ 1 x)))))> |
#<alt (- 1 (* -1 (log (/ -1 x))))> |
#<alt (- (+ 1 (/ 1 x)) (* -1 (log (/ -1 x))))> |
#<alt (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ 1 x))) (* -1 (log (/ -1 x))))> |
#<alt (- (+ 1 (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x))) (* -1 (log (/ -1 x))))> |
#<alt (* -1 x)> |
#<alt (* x (- (* -1/2 x) 1))> |
#<alt (* x (- (* x (- (* -1/3 x) 1/2)) 1))> |
#<alt (* x (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1))> |
#<alt (+ (log -1) (* -1 (log (/ 1 x))))> |
#<alt (- (+ (log -1) (* -1 (log (/ 1 x)))) (/ 1 x))> |
#<alt (+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x))))> |
#<alt (- (+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) (pow x 2))))) (/ 1 x))> |
#<alt (* -1 (log (/ -1 x)))> |
#<alt (- (* -1 (log (/ -1 x))) (/ 1 x))> |
#<alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x)))> |
#<alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) x)))> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (- 1 (log (- 1 x)))> |
#<alt (- (+ 1 (* -1 y)) (log (- 1 x)))> |
#<alt (- (+ 1 (* -1 y)) (log (- 1 x)))> |
#<alt (- (+ 1 (* -1 y)) (log (- 1 x)))> |
#<alt (* -1 y)> |
#<alt (* y (- (/ 1 y) (+ 1 (/ (log (- 1 x)) y))))> |
#<alt (* y (- (/ 1 y) (+ 1 (/ (log (- 1 x)) y))))> |
#<alt (* y (- (/ 1 y) (+ 1 (/ (log (- 1 x)) y))))> |
#<alt (* -1 y)> |
#<alt (* -1 (* y (+ 1 (* -1 (/ (- 1 (log (- 1 x))) y)))))> |
#<alt (* -1 (* y (+ 1 (* -1 (/ (- 1 (log (- 1 x))) y)))))> |
#<alt (* -1 (* y (+ 1 (* -1 (/ (- 1 (log (- 1 x))) y)))))> |
#<alt (- 1 y)> |
#<alt (- (+ 1 x) y)> |
#<alt (- (+ 1 (* x (+ 1 (* 1/2 x)))) y)> |
#<alt (- (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/3 x)))))) y)> |
#<alt (- 1 (+ y (+ (log -1) (* -1 (log (/ 1 x))))))> |
#<alt (- (+ 1 (/ 1 x)) (+ y (+ (log -1) (* -1 (log (/ 1 x))))))> |
#<alt (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ 1 x))) (+ y (+ (log -1) (* -1 (log (/ 1 x))))))> |
#<alt (- (+ 1 (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3)))))) (+ y (+ (log -1) (* -1 (log (/ 1 x))))))> |
#<alt (- 1 (+ y (* -1 (log (/ -1 x)))))> |
#<alt (- (+ 1 (/ 1 x)) (+ y (* -1 (log (/ -1 x)))))> |
#<alt (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ 1 x))) (+ y (* -1 (log (/ -1 x)))))> |
#<alt (- (+ 1 (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x))) (+ y (* -1 (log (/ -1 x)))))> |
#<alt 1> |
#<alt (+ 1 (* -1 y))> |
#<alt (+ 1 (* -1 y))> |
#<alt (+ 1 (* -1 y))> |
#<alt (* -1 y)> |
#<alt (* y (- (/ 1 y) 1))> |
#<alt (* y (- (/ 1 y) 1))> |
#<alt (* y (- (/ 1 y) 1))> |
#<alt (* -1 y)> |
#<alt (* -1 (* y (- 1 (/ 1 y))))> |
#<alt (* -1 (* y (- 1 (/ 1 y))))> |
#<alt (* -1 (* y (- 1 (/ 1 y))))> |
#<alt (- 1 (log (/ -1 y)))> |
#<alt (- (+ 1 x) (log (/ -1 y)))> |
#<alt (- (+ 1 (* x (+ 1 (* 1/2 x)))) (log (/ -1 y)))> |
#<alt (- (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/3 x)))))) (log (/ -1 y)))> |
#<alt (- 1 (+ (log (/ 1 y)) (* -1 (log (/ 1 x)))))> |
#<alt (- (+ 1 (/ 1 x)) (+ (log (/ 1 y)) (* -1 (log (/ 1 x)))))> |
#<alt (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ 1 x))) (+ (log (/ 1 y)) (* -1 (log (/ 1 x)))))> |
#<alt (- (+ 1 (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3)))))) (+ (log (/ 1 y)) (* -1 (log (/ 1 x)))))> |
#<alt (- 1 (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))))> |
#<alt (- (+ 1 (/ 1 x)) (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))))> |
#<alt (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ 1 x))) (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))))> |
#<alt (- (+ 1 (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x))) (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))))> |
#<alt (- 1 (+ (log (- x 1)) (* -1 (log y))))> |
#<alt (- 1 (+ (log (- x 1)) (* -1 (log y))))> |
#<alt (- 1 (+ (log (- x 1)) (* -1 (log y))))> |
#<alt (- 1 (+ (log (- x 1)) (* -1 (log y))))> |
#<alt (- 1 (+ (log (- x 1)) (log (/ 1 y))))> |
#<alt (- 1 (+ (log (- x 1)) (log (/ 1 y))))> |
#<alt (- 1 (+ (log (- x 1)) (log (/ 1 y))))> |
#<alt (- 1 (+ (log (- x 1)) (log (/ 1 y))))> |
#<alt (- 1 (+ (log (* -1 (- x 1))) (log (/ -1 y))))> |
#<alt (- 1 (+ (log (* -1 (- x 1))) (log (/ -1 y))))> |
#<alt (- 1 (+ (log (* -1 (- x 1))) (log (/ -1 y))))> |
#<alt (- 1 (+ (log (* -1 (- x 1))) (log (/ -1 y))))> |
#<alt (log (/ -1 y))> |
#<alt (+ (log (/ -1 y)) (* -1 x))> |
#<alt (+ (log (/ -1 y)) (* x (- (* -1/2 x) 1)))> |
#<alt (+ (log (/ -1 y)) (* x (- (* x (- (* -1/3 x) 1/2)) 1)))> |
#<alt (+ (log (/ 1 y)) (* -1 (log (/ 1 x))))> |
#<alt (- (+ (log (/ 1 y)) (* -1 (log (/ 1 x)))) (/ 1 x))> |
#<alt (+ (log (/ 1 y)) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x))))> |
#<alt (- (+ (log (/ 1 y)) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) (pow x 2))))) (/ 1 x))> |
#<alt (+ (log (/ -1 y)) (* -1 (log (/ -1 x))))> |
#<alt (- (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))) (/ 1 x))> |
#<alt (+ (log (/ -1 y)) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x))))> |
#<alt (+ (log (/ -1 y)) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) x))))> |
#<alt (+ (log (- x 1)) (* -1 (log y)))> |
#<alt (+ (log (- x 1)) (* -1 (log y)))> |
#<alt (+ (log (- x 1)) (* -1 (log y)))> |
#<alt (+ (log (- x 1)) (* -1 (log y)))> |
#<alt (+ (log (- x 1)) (log (/ 1 y)))> |
#<alt (+ (log (- x 1)) (log (/ 1 y)))> |
#<alt (+ (log (- x 1)) (log (/ 1 y)))> |
#<alt (+ (log (- x 1)) (log (/ 1 y)))> |
#<alt (+ (log (* -1 (- x 1))) (log (/ -1 y)))> |
#<alt (+ (log (* -1 (- x 1))) (log (/ -1 y)))> |
#<alt (+ (log (* -1 (- x 1))) (log (/ -1 y)))> |
#<alt (+ (log (* -1 (- x 1))) (log (/ -1 y)))> |
#<alt (/ -1 y)> |
#<alt (- (/ x y) (/ 1 y))> |
#<alt (- (/ x y) (/ 1 y))> |
#<alt (- (/ x y) (/ 1 y))> |
#<alt (/ x y)> |
#<alt (* x (- (/ 1 y) (/ 1 (* x y))))> |
#<alt (* x (- (/ 1 y) (/ 1 (* x y))))> |
#<alt (* x (- (/ 1 y) (/ 1 (* x y))))> |
#<alt (/ x y)> |
#<alt (* -1 (* x (- (/ 1 (* x y)) (/ 1 y))))> |
#<alt (* -1 (* x (- (/ 1 (* x y)) (/ 1 y))))> |
#<alt (* -1 (* x (- (/ 1 (* x y)) (/ 1 y))))> |
#<alt (/ (- x 1) y)> |
#<alt (/ (- x 1) y)> |
#<alt (/ (- x 1) y)> |
#<alt (/ (- x 1) y)> |
#<alt (/ (- x 1) y)> |
#<alt (/ (- x 1) y)> |
#<alt (/ (- x 1) y)> |
#<alt (/ (- x 1) y)> |
#<alt (/ (- x 1) y)> |
#<alt (/ (- x 1) y)> |
#<alt (/ (- x 1) y)> |
#<alt (/ (- x 1) y)> |
#<alt -1> |
#<alt (- x 1)> |
#<alt (- x 1)> |
#<alt (- x 1)> |
#<alt x> |
#<alt (* x (- 1 (/ 1 x)))> |
#<alt (* x (- 1 (/ 1 x)))> |
#<alt (* x (- 1 (/ 1 x)))> |
#<alt x> |
#<alt (* -1 (* x (- (/ 1 x) 1)))> |
#<alt (* -1 (* x (- (/ 1 x) 1)))> |
#<alt (* -1 (* x (- (/ 1 x) 1)))> |
#<alt (- 1 (log (- 1 x)))> |
#<alt (- (+ 1 (* -1 y)) (log (- 1 x)))> |
#<alt (- (+ 1 (* y (- (* -1/2 y) 1))) (log (- 1 x)))> |
#<alt (- (+ 1 (* y (- (* -1/2 y) 1))) (log (- 1 x)))> |
#<alt (* -1/2 (pow y 2))> |
#<alt (* -1 (* (pow y 2) (+ 1/2 (/ 1 y))))> |
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) (+ 1/2 (+ (/ 1 y) (/ (log (- 1 x)) (pow y 2))))))> |
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) (+ 1/2 (+ (/ 1 y) (/ (log (- 1 x)) (pow y 2))))))> |
#<alt (* -1/2 (pow y 2))> |
#<alt (* -1 (* (pow y 2) (+ 1/2 (/ 1 y))))> |
#<alt (* (pow y 2) (- (* -1 (/ (+ 1 (* -1 (/ (- 1 (log (- 1 x))) y))) y)) 1/2))> |
#<alt (* (pow y 2) (- (* -1 (/ (+ 1 (* -1 (/ (- 1 (log (- 1 x))) y))) y)) 1/2))> |
#<alt (+ 1 (* y (- (* -1/2 y) 1)))> |
#<alt (+ 1 (+ x (* y (- (* -1/2 y) 1))))> |
#<alt (+ 1 (+ (* x (+ 1 (* 1/2 x))) (* y (- (* -1/2 y) 1))))> |
#<alt (+ 1 (+ (* x (+ 1 (* x (+ 1/2 (* 1/3 x))))) (* y (- (* -1/2 y) 1))))> |
#<alt (- (+ 1 (* y (- (* -1/2 y) 1))) (+ (log -1) (* -1 (log (/ 1 x)))))> |
#<alt (- (+ 1 (+ (* y (- (* -1/2 y) 1)) (/ 1 x))) (+ (log -1) (* -1 (log (/ 1 x)))))> |
#<alt (- (+ 1 (+ (* y (- (* -1/2 y) 1)) (+ (/ 1/2 (pow x 2)) (/ 1 x)))) (+ (log -1) (* -1 (log (/ 1 x)))))> |
#<alt (- (+ 1 (+ (* y (- (* -1/2 y) 1)) (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))))) (+ (log -1) (* -1 (log (/ 1 x)))))> |
#<alt (- (+ 1 (* y (- (* -1/2 y) 1))) (* -1 (log (/ -1 x))))> |
#<alt (- (+ 1 (+ (* y (- (* -1/2 y) 1)) (/ 1 x))) (* -1 (log (/ -1 x))))> |
#<alt (- (+ 1 (+ (* y (- (* -1/2 y) 1)) (+ (/ 1/2 (pow x 2)) (/ 1 x)))) (* -1 (log (/ -1 x))))> |
#<alt (- (+ 1 (+ (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x)) (* y (- (* -1/2 y) 1)))) (* -1 (log (/ -1 x))))> |
#<alt 1> |
#<alt (+ 1 (* -1 y))> |
#<alt (+ 1 (* y (- (* -1/2 y) 1)))> |
#<alt (+ 1 (* y (- (* -1/2 y) 1)))> |
#<alt (* -1/2 (pow y 2))> |
#<alt (* -1 (* (pow y 2) (+ 1/2 (/ 1 y))))> |
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) (+ 1/2 (/ 1 y))))> |
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) (+ 1/2 (/ 1 y))))> |
#<alt (* -1/2 (pow y 2))> |
#<alt (* -1 (* (pow y 2) (+ 1/2 (/ 1 y))))> |
#<alt (* (pow y 2) (- (* -1 (/ (- 1 (/ 1 y)) y)) 1/2))> |
#<alt (* (pow y 2) (- (* -1 (/ (- 1 (/ 1 y)) y)) 1/2))> |
#<alt -1> |
#<alt (- (* -1/2 y) 1)> |
#<alt (- (* -1/2 y) 1)> |
#<alt (- (* -1/2 y) 1)> |
#<alt (* -1/2 y)> |
#<alt (* -1 (* y (+ 1/2 (/ 1 y))))> |
#<alt (* -1 (* y (+ 1/2 (/ 1 y))))> |
#<alt (* -1 (* y (+ 1/2 (/ 1 y))))> |
#<alt (* -1/2 y)> |
#<alt (* -1 (* y (+ 1/2 (/ 1 y))))> |
#<alt (* -1 (* y (+ 1/2 (/ 1 y))))> |
#<alt (* -1 (* y (+ 1/2 (/ 1 y))))> |
#<alt -1> |
#<alt (- y 1)> |
#<alt (- y 1)> |
#<alt (- y 1)> |
#<alt y> |
#<alt (* y (- 1 (/ 1 y)))> |
#<alt (* y (- 1 (/ 1 y)))> |
#<alt (* y (- 1 (/ 1 y)))> |
#<alt y> |
#<alt (* -1 (* y (- (/ 1 y) 1)))> |
#<alt (* -1 (* y (- (/ 1 y) 1)))> |
#<alt (* -1 (* y (- (/ 1 y) 1)))> |
78 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 101.0ms | y | @ | -inf | (/ (- x y) (+ y -1)) |
| 33.0ms | y | @ | 0 | (- 1 (log (/ (+ -1 x) y))) |
| 28.0ms | y | @ | -inf | (- 1 (log (/ (+ -1 x) y))) |
| 6.0ms | y | @ | inf | (- 1 (log (/ (+ -1 x) y))) |
| 5.0ms | y | @ | 0 | (- (- 1 y) (log (+ 1 (neg x)))) |
| 1× | batch-egg-rewrite |
| 4 746× | lower-/.f32 |
| 4 742× | lower-/.f64 |
| 4 146× | lower-*.f64 |
| 4 146× | lower-*.f32 |
| 2 950× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 95 |
| 0 | 43 | 95 |
| 1 | 225 | 95 |
| 2 | 2012 | 95 |
| 0 | 8437 | 95 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) |
(log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) |
(/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))) |
(-.f64 x y) |
(-.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x))) |
(log1p.f64 (neg.f64 x)) |
(neg.f64 x) |
(-.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 x))) |
(-.f64 #s(literal 1 binary64) y) |
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y))) |
(log.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y)) |
(/.f64 (+.f64 #s(literal -1 binary64) x) y) |
(+.f64 #s(literal -1 binary64) x) |
(-.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (log1p.f64 (neg.f64 x))) |
(fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) |
(+.f64 y #s(literal -1 binary64)) |
| Outputs |
|---|
(+.f64 #s(literal 1 binary64) (neg.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))))) |
(+.f64 (neg.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) #s(literal 1 binary64))) (/.f64 (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) #s(literal 3 binary64)) (fma.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) #s(literal 1 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))))) (/.f64 (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (neg.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))))) (/.f64 (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (neg.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))))))) |
(fma.f64 #s(literal -1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) #s(literal 2 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) #s(literal 3 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) #s(literal 3 binary64))) (fma.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (neg.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (neg.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (neg.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))))))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) #s(literal 2 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) #s(literal 1 binary64))) (*.f64 (fma.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) #s(literal 1 binary64)) (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) #s(literal 3 binary64)))) (*.f64 (fma.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) #s(literal 1 binary64)) (fma.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))))) (*.f64 (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) #s(literal 2 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))))))) |
(pow.f64 (/.f64 (fma.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) #s(literal 1 binary64)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))))) |
(log.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) |
(+.f64 (log1p.f64 (/.f64 (*.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y))) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64)))))) (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))) (-.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(+.f64 (log1p.f64 (neg.f64 (/.f64 (*.f64 (-.f64 x y) (-.f64 x y)) (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64)))))) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))))) |
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (fma.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))) (-.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y))) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64))))))))) |
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(pow.f64 (/.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)) (fma.f64 y (*.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)))) #s(literal -1 binary64))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))) (*.f64 y (*.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y (*.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)))) #s(literal 1 binary64)) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)))))) |
(*.f64 (fma.f64 y (*.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(+.f64 #s(literal -1 binary64) (*.f64 y #s(literal -1/2 binary64))) |
(+.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal -1 binary64)) |
(-.f64 (/.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) (fma.f64 y #s(literal -1/2 binary64) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (*.f64 y #s(literal -1/2 binary64)))) (/.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) (-.f64 #s(literal -1 binary64) (*.f64 y #s(literal -1/2 binary64))))) |
(fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) |
(fma.f64 #s(literal -1/2 binary64) y #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (*.f64 y y) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 y #s(literal 1/2 binary64))) (fma.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 1 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/4 binary64) #s(literal -1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 (*.f64 y y) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 y #s(literal 1/2 binary64))) (fma.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64) #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 1 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/4 binary64) #s(literal -1 binary64))))) |
(/.f64 (fma.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64) #s(literal -1 binary64)) (-.f64 (fma.f64 (*.f64 y y) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 y #s(literal 1/2 binary64)))) |
(/.f64 (fma.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) (*.f64 y #s(literal 1/2 binary64))))) |
(/.f64 (fma.f64 (*.f64 y y) #s(literal 1/4 binary64) #s(literal -1 binary64)) (fma.f64 y #s(literal -1/2 binary64) #s(literal 1 binary64))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64) #s(literal -1 binary64))) (neg.f64 (-.f64 (fma.f64 (*.f64 y y) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 y #s(literal 1/2 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64) #s(literal -1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) (*.f64 y #s(literal 1/2 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 y y) #s(literal 1/4 binary64) #s(literal -1 binary64))) (neg.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal 1/4 binary64))) (-.f64 #s(literal -1 binary64) (*.f64 y #s(literal -1/2 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) (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)) #s(literal 1 binary64))) (*.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 1 binary64)) (fma.f64 y #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (*.f64 y y) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 y #s(literal 1/2 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 y y) #s(literal 1/4 binary64) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal 1/4 binary64)))) (neg.f64 (-.f64 #s(literal -1 binary64) (*.f64 y #s(literal -1/2 binary64))))) |
(pow.f64 (/.f64 (-.f64 (fma.f64 (*.f64 y y) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 y #s(literal 1/2 binary64))) (fma.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64) #s(literal -1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 1 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/4 binary64) #s(literal -1 binary64))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 y y) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 y #s(literal 1/2 binary64))))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/4 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
(+.f64 y #s(literal -1 binary64)) |
(+.f64 #s(literal -1 binary64) y) |
(-.f64 (/.f64 (*.f64 y y) (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y))) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y)) (/.f64 (*.f64 y y) (-.f64 #s(literal -1 binary64) y))) |
(fma.f64 #s(literal 1 binary64) y #s(literal -1 binary64)) |
(fma.f64 y #s(literal 1 binary64) #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (+.f64 #s(literal 1 binary64) y)) (fma.f64 y (*.f64 y y) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) y) (fma.f64 y y #s(literal -1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 y y (+.f64 #s(literal 1 binary64) y)) (fma.f64 y (*.f64 y y) #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) (fma.f64 y y #s(literal -1 binary64))))) |
(/.f64 (fma.f64 y (*.f64 y y) #s(literal -1 binary64)) (fma.f64 y y (+.f64 #s(literal 1 binary64) y))) |
(/.f64 (fma.f64 y (*.f64 y y) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 y y) (neg.f64 y)))) |
(/.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) y)) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal -1 binary64) y)) |
(/.f64 (neg.f64 (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) (neg.f64 (fma.f64 y y (+.f64 #s(literal 1 binary64) y)))) |
(/.f64 (neg.f64 (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 y y) (neg.f64 y))))) |
(/.f64 (neg.f64 (fma.f64 y y #s(literal -1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) y))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y))) (neg.f64 (-.f64 #s(literal -1 binary64) y))) |
(/.f64 (-.f64 (*.f64 (*.f64 y y) (+.f64 #s(literal 1 binary64) y)) (*.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 y (*.f64 y y) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 y y (+.f64 #s(literal 1 binary64) y))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 y y #s(literal -1 binary64)))) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) y)))) |
(pow.f64 (/.f64 (fma.f64 y y (+.f64 #s(literal 1 binary64) y)) (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) (fma.f64 y y #s(literal -1 binary64))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 y (*.f64 y y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y y (+.f64 #s(literal 1 binary64) y)))) |
(*.f64 (fma.f64 y y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y))) |
| 1× | egg-herbie |
| 7 012× | lower-fma.f64 |
| 7 012× | lower-fma.f32 |
| 4 326× | lower-+.f64 |
| 4 326× | lower-+.f32 |
| 2 852× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 584 | 4404 |
| 1 | 1855 | 3865 |
| 2 | 6051 | 3394 |
| 0 | 8536 | 3209 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- 1 (log (- 1 (/ y (- y 1))))) |
(- (+ 1 (* -1 (/ x (* (- 1 (/ y (- y 1))) (- y 1))))) (log (- 1 (/ y (- y 1))))) |
(- (+ 1 (* x (- (* 1/2 (/ x (* (pow (- 1 (/ y (- y 1))) 2) (pow (- y 1) 2)))) (/ 1 (* (- 1 (/ y (- y 1))) (- y 1)))))) (log (- 1 (/ y (- y 1))))) |
(- (+ 1 (* x (- (* x (+ (* -1/3 (/ x (* (pow (- 1 (/ y (- y 1))) 3) (pow (- y 1) 3)))) (* 1/2 (/ 1 (* (pow (- 1 (/ y (- y 1))) 2) (pow (- y 1) 2)))))) (/ 1 (* (- 1 (/ y (- y 1))) (- y 1)))))) (log (- 1 (/ y (- y 1))))) |
(- 1 (+ (log (/ 1 (- y 1))) (* -1 (log (/ 1 x))))) |
(- (+ 1 (* -1 (/ (* (- 1 (/ y (- y 1))) (- y 1)) x))) (+ (log (/ 1 (- y 1))) (* -1 (log (/ 1 x))))) |
(- (+ 1 (* 1/2 (/ (* (pow (- 1 (/ y (- y 1))) 2) (pow (- y 1) 2)) (pow x 2)))) (+ (log (/ 1 (- y 1))) (+ (* -1 (log (/ 1 x))) (/ (* (- 1 (/ y (- y 1))) (- y 1)) x)))) |
(- (+ 1 (* -1/3 (/ (* (pow (- 1 (/ y (- y 1))) 3) (pow (- y 1) 3)) (pow x 3)))) (+ (log (/ 1 (- y 1))) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (* (pow (- 1 (/ y (- y 1))) 2) (pow (- y 1) 2)) (pow x 2))) (/ (* (- 1 (/ y (- y 1))) (- y 1)) x))))) |
(- 1 (+ (log (neg (/ 1 (- y 1)))) (* -1 (log (/ -1 x))))) |
(- (+ 1 (* -1 (/ (* (+ 1 (* -1 (/ y (- y 1)))) (- y 1)) x))) (+ (log (neg (/ 1 (- y 1)))) (* -1 (log (/ -1 x))))) |
(- (+ 1 (* -1 (/ (- (* -1/2 (/ (* (pow (+ 1 (* -1 (/ y (- y 1)))) 2) (pow (- y 1) 2)) x)) (* -1 (* (+ 1 (* -1 (/ y (- y 1)))) (- y 1)))) x))) (+ (log (neg (/ 1 (- y 1)))) (* -1 (log (/ -1 x))))) |
(- (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1/3 (/ (* (pow (+ 1 (* -1 (/ y (- y 1)))) 3) (pow (- y 1) 3)) x)) (* -1/2 (* (pow (+ 1 (* -1 (/ y (- y 1)))) 2) (pow (- y 1) 2)))) x)) (* -1 (* (+ 1 (* -1 (/ y (- y 1)))) (- y 1)))) x))) (+ (log (neg (/ 1 (- y 1)))) (* -1 (log (/ -1 x))))) |
(- 1 (log (+ 1 (* -1 x)))) |
(- (+ 1 (* y (- (/ x (+ 1 (* -1 x))) (/ 1 (+ 1 (* -1 x)))))) (log (+ 1 (* -1 x)))) |
(- (+ 1 (* y (- (+ (* -1/2 (* y (+ (* -1 (/ (pow (- 1 x) 2) (pow (+ 1 (* -1 x)) 2))) (* 2 (/ (- 1 x) (+ 1 (* -1 x))))))) (/ x (+ 1 (* -1 x)))) (/ 1 (+ 1 (* -1 x)))))) (log (+ 1 (* -1 x)))) |
(- (+ 1 (* y (- (+ (* y (- (* -1/6 (* y (+ (* -6 (/ (pow (- 1 x) 2) (pow (+ 1 (* -1 x)) 2))) (+ (* 2 (/ (pow (- 1 x) 3) (pow (+ 1 (* -1 x)) 3))) (* 6 (/ (- 1 x) (+ 1 (* -1 x)))))))) (* 1/2 (+ (* -1 (/ (pow (- 1 x) 2) (pow (+ 1 (* -1 x)) 2))) (* 2 (/ (- 1 x) (+ 1 (* -1 x)))))))) (/ x (+ 1 (* -1 x)))) (/ 1 (+ 1 (* -1 x)))))) (log (+ 1 (* -1 x)))) |
(- 1 (+ (log (- x 1)) (log (/ 1 y)))) |
(- (+ 1 (+ (* -1 (/ x (* y (- x 1)))) (/ 1 (* y (- x 1))))) (+ (log (- x 1)) (log (/ 1 y)))) |
(- (+ 1 (* -1/2 (/ (+ (* -2 (/ (+ 1 (* -1 x)) (- x 1))) (* -1 (/ (pow (+ 1 (* -1 x)) 2) (pow (- x 1) 2)))) (pow y 2)))) (+ (log (- x 1)) (+ (log (/ 1 y)) (* -1 (/ (+ 1 (* -1 x)) (* y (- x 1))))))) |
(- (+ 1 (* -1/6 (/ (+ (* -6 (/ (+ 1 (* -1 x)) (- x 1))) (+ (* -6 (/ (pow (+ 1 (* -1 x)) 2) (pow (- x 1) 2))) (* -2 (/ (pow (+ 1 (* -1 x)) 3) (pow (- x 1) 3))))) (pow y 3)))) (+ (log (- x 1)) (+ (log (/ 1 y)) (+ (* -1 (/ (+ 1 (* -1 x)) (* y (- x 1)))) (* 1/2 (/ (+ (* -2 (/ (+ 1 (* -1 x)) (- x 1))) (* -1 (/ (pow (+ 1 (* -1 x)) 2) (pow (- x 1) 2)))) (pow y 2))))))) |
(- 1 (+ (log (* -1 (- x 1))) (log (/ -1 y)))) |
(- (+ 1 (* -1 (/ (- (/ x (- x 1)) (/ 1 (- x 1))) y))) (+ (log (* -1 (- x 1))) (log (/ -1 y)))) |
(- (+ 1 (* -1 (/ (- (+ (* 1/2 (/ (+ 2 (* -1 (/ (pow (- 1 x) 2) (pow (- x 1) 2)))) y)) (/ x (- x 1))) (/ 1 (- x 1))) y))) (+ (log (* -1 (- x 1))) (log (/ -1 y)))) |
(- (+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* 1/6 (/ (+ (* -6 (/ (- 1 x) (- x 1))) (+ (* 2 (/ (pow (- 1 x) 3) (pow (- x 1) 3))) (* 6 (/ (- 1 x) (- x 1))))) y)) (* 1/2 (+ 2 (* -1 (/ (pow (- 1 x) 2) (pow (- x 1) 2)))))) y)) (/ x (- x 1))) (/ 1 (- x 1))) y))) (+ (log (* -1 (- x 1))) (log (/ -1 y)))) |
(log (- 1 (/ y (- y 1)))) |
(+ (log (- 1 (/ y (- y 1)))) (/ x (* (- 1 (/ y (- y 1))) (- y 1)))) |
(+ (log (- 1 (/ y (- y 1)))) (* x (+ (* -1/2 (/ x (* (pow (- 1 (/ y (- y 1))) 2) (pow (- y 1) 2)))) (/ 1 (* (- 1 (/ y (- y 1))) (- y 1)))))) |
(+ (log (- 1 (/ y (- y 1)))) (* x (+ (* x (- (* 1/3 (/ x (* (pow (- 1 (/ y (- y 1))) 3) (pow (- y 1) 3)))) (* 1/2 (/ 1 (* (pow (- 1 (/ y (- y 1))) 2) (pow (- y 1) 2)))))) (/ 1 (* (- 1 (/ y (- y 1))) (- y 1)))))) |
(+ (log (/ 1 (- y 1))) (* -1 (log (/ 1 x)))) |
(+ (log (/ 1 (- y 1))) (+ (* -1 (log (/ 1 x))) (/ (* (- 1 (/ y (- y 1))) (- y 1)) x))) |
(+ (log (/ 1 (- y 1))) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (* (pow (- 1 (/ y (- y 1))) 2) (pow (- y 1) 2)) (pow x 2))) (/ (* (- 1 (/ y (- y 1))) (- y 1)) x)))) |
(+ (log (/ 1 (- y 1))) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (* (pow (- 1 (/ y (- y 1))) 2) (pow (- y 1) 2)) (pow x 2))) (+ (* 1/3 (/ (* (pow (- 1 (/ y (- y 1))) 3) (pow (- y 1) 3)) (pow x 3))) (/ (* (- 1 (/ y (- y 1))) (- y 1)) x))))) |
(+ (log (neg (/ 1 (- y 1)))) (* -1 (log (/ -1 x)))) |
(+ (log (neg (/ 1 (- y 1)))) (+ (* -1 (log (/ -1 x))) (/ (* (+ 1 (* -1 (/ y (- y 1)))) (- y 1)) x))) |
(+ (log (neg (/ 1 (- y 1)))) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 (* (+ 1 (* -1 (/ y (- y 1)))) (- y 1))) (* 1/2 (/ (* (pow (+ 1 (* -1 (/ y (- y 1)))) 2) (pow (- y 1) 2)) x))) x)))) |
(+ (log (neg (/ 1 (- y 1)))) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 (* (+ 1 (* -1 (/ y (- y 1)))) (- y 1))) (* -1 (/ (+ (* -1/2 (* (pow (+ 1 (* -1 (/ y (- y 1)))) 2) (pow (- y 1) 2))) (* 1/3 (/ (* (pow (+ 1 (* -1 (/ y (- y 1)))) 3) (pow (- y 1) 3)) x))) x))) x)))) |
(log (+ 1 (* -1 x))) |
(+ (log (+ 1 (* -1 x))) (* y (- (/ 1 (+ 1 (* -1 x))) (/ x (+ 1 (* -1 x)))))) |
(+ (log (+ 1 (* -1 x))) (* y (- (+ (* 1/2 (* y (+ (* -1 (/ (pow (- 1 x) 2) (pow (+ 1 (* -1 x)) 2))) (* 2 (/ (- 1 x) (+ 1 (* -1 x))))))) (/ 1 (+ 1 (* -1 x)))) (/ x (+ 1 (* -1 x)))))) |
(+ (log (+ 1 (* -1 x))) (* y (- (+ (* y (+ (* 1/6 (* y (+ (* -6 (/ (pow (- 1 x) 2) (pow (+ 1 (* -1 x)) 2))) (+ (* 2 (/ (pow (- 1 x) 3) (pow (+ 1 (* -1 x)) 3))) (* 6 (/ (- 1 x) (+ 1 (* -1 x)))))))) (* 1/2 (+ (* -1 (/ (pow (- 1 x) 2) (pow (+ 1 (* -1 x)) 2))) (* 2 (/ (- 1 x) (+ 1 (* -1 x)))))))) (/ 1 (+ 1 (* -1 x)))) (/ x (+ 1 (* -1 x)))))) |
(+ (log (- x 1)) (log (/ 1 y))) |
(+ (log (- x 1)) (+ (log (/ 1 y)) (* -1 (/ (+ 1 (* -1 x)) (* y (- x 1)))))) |
(+ (log (- x 1)) (+ (log (/ 1 y)) (+ (* -1 (/ (+ 1 (* -1 x)) (* y (- x 1)))) (* 1/2 (/ (+ (* -2 (/ (+ 1 (* -1 x)) (- x 1))) (* -1 (/ (pow (+ 1 (* -1 x)) 2) (pow (- x 1) 2)))) (pow y 2)))))) |
(+ (log (- x 1)) (+ (log (/ 1 y)) (+ (* -1 (/ (+ 1 (* -1 x)) (* y (- x 1)))) (+ (* 1/6 (/ (+ (* -6 (/ (+ 1 (* -1 x)) (- x 1))) (+ (* -6 (/ (pow (+ 1 (* -1 x)) 2) (pow (- x 1) 2))) (* -2 (/ (pow (+ 1 (* -1 x)) 3) (pow (- x 1) 3))))) (pow y 3))) (* 1/2 (/ (+ (* -2 (/ (+ 1 (* -1 x)) (- x 1))) (* -1 (/ (pow (+ 1 (* -1 x)) 2) (pow (- x 1) 2)))) (pow y 2))))))) |
(+ (log (* -1 (- x 1))) (log (/ -1 y))) |
(+ (log (* -1 (- x 1))) (+ (log (/ -1 y)) (* -1 (/ (- (/ 1 (- x 1)) (/ x (- x 1))) y)))) |
(+ (log (* -1 (- x 1))) (+ (log (/ -1 y)) (* -1 (/ (- (+ (* -1/2 (/ (+ 2 (* -1 (/ (pow (- 1 x) 2) (pow (- x 1) 2)))) y)) (/ 1 (- x 1))) (/ x (- x 1))) y)))) |
(+ (log (* -1 (- x 1))) (+ (log (/ -1 y)) (* -1 (/ (- (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -6 (/ (- 1 x) (- x 1))) (+ (* 2 (/ (pow (- 1 x) 3) (pow (- x 1) 3))) (* 6 (/ (- 1 x) (- x 1))))) y)) (* 1/2 (+ 2 (* -1 (/ (pow (- 1 x) 2) (pow (- x 1) 2)))))) y)) (/ 1 (- x 1))) (/ x (- x 1))) y)))) |
(* -1 (/ y (- y 1))) |
(+ (* -1 (/ y (- y 1))) (/ x (- y 1))) |
(+ (* -1 (/ y (- y 1))) (/ x (- y 1))) |
(+ (* -1 (/ y (- y 1))) (/ x (- y 1))) |
(/ x (- y 1)) |
(* x (+ (* -1 (/ y (* x (- y 1)))) (/ 1 (- y 1)))) |
(* x (+ (* -1 (/ y (* x (- y 1)))) (/ 1 (- y 1)))) |
(* x (+ (* -1 (/ y (* x (- y 1)))) (/ 1 (- y 1)))) |
(/ x (- y 1)) |
(* -1 (* x (- (/ y (* x (- y 1))) (/ 1 (- y 1))))) |
(* -1 (* x (- (/ y (* x (- y 1))) (/ 1 (- y 1))))) |
(* -1 (* x (- (/ y (* x (- y 1))) (/ 1 (- y 1))))) |
(* -1 x) |
(+ (* -1 x) (* y (- 1 x))) |
(+ (* -1 x) (* y (- (+ 1 (* y (- 1 x))) x))) |
(+ (* -1 x) (* y (- (+ 1 (* y (- (* y (- 1 x)) (* -1 (- 1 x))))) x))) |
-1 |
(- (/ x y) (+ 1 (/ 1 y))) |
(- (+ (/ x y) (/ x (pow y 2))) (+ 1 (+ (/ 1 y) (/ 1 (pow y 2))))) |
(- (+ (/ x y) (/ x (pow y 3))) (+ 1 (+ (* -1 (/ (- x 1) (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3)))))) |
-1 |
(- (/ x y) (+ 1 (/ 1 y))) |
(- (* -1 (/ (- (+ (* -1 (- x 1)) (/ 1 y)) (/ x y)) y)) 1) |
(- (* -1 (/ (+ (* -1 (- x 1)) (* -1 (/ (- (+ (* -1 (- 1 x)) (/ x y)) (/ 1 y)) y))) y)) 1) |
(* -1 y) |
(- x y) |
(- x y) |
(- x y) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
(* x (+ 1 (* -1 (/ y x)))) |
(* x (+ 1 (* -1 (/ y x)))) |
x |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (- (/ y x) 1))) |
x |
(+ x (* -1 y)) |
(+ x (* -1 y)) |
(+ x (* -1 y)) |
(* -1 y) |
(* y (- (/ x y) 1)) |
(* y (- (/ x y) 1)) |
(* y (- (/ x y) 1)) |
(* -1 y) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
1 |
(+ 1 x) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/3 x)))))) |
(- 1 (+ (log -1) (* -1 (log (/ 1 x))))) |
(- (+ 1 (/ 1 x)) (+ (log -1) (* -1 (log (/ 1 x))))) |
(- (+ 1 (+ (/ 1/2 (pow x 2)) (/ 1 x))) (+ (log -1) (* -1 (log (/ 1 x))))) |
(- (+ 1 (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3)))))) (+ (log -1) (* -1 (log (/ 1 x))))) |
(- 1 (* -1 (log (/ -1 x)))) |
(- (+ 1 (/ 1 x)) (* -1 (log (/ -1 x)))) |
(- (+ 1 (+ (/ 1/2 (pow x 2)) (/ 1 x))) (* -1 (log (/ -1 x)))) |
(- (+ 1 (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x))) (* -1 (log (/ -1 x)))) |
(* -1 x) |
(* x (- (* -1/2 x) 1)) |
(* x (- (* x (- (* -1/3 x) 1/2)) 1)) |
(* x (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1)) |
(+ (log -1) (* -1 (log (/ 1 x)))) |
(- (+ (log -1) (* -1 (log (/ 1 x)))) (/ 1 x)) |
(+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x)))) |
(- (+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) (pow x 2))))) (/ 1 x)) |
(* -1 (log (/ -1 x))) |
(- (* -1 (log (/ -1 x))) (/ 1 x)) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) x))) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(- 1 (log (- 1 x))) |
(- (+ 1 (* -1 y)) (log (- 1 x))) |
(- (+ 1 (* -1 y)) (log (- 1 x))) |
(- (+ 1 (* -1 y)) (log (- 1 x))) |
(* -1 y) |
(* y (- (/ 1 y) (+ 1 (/ (log (- 1 x)) y)))) |
(* y (- (/ 1 y) (+ 1 (/ (log (- 1 x)) y)))) |
(* y (- (/ 1 y) (+ 1 (/ (log (- 1 x)) y)))) |
(* -1 y) |
(* -1 (* y (+ 1 (* -1 (/ (- 1 (log (- 1 x))) y))))) |
(* -1 (* y (+ 1 (* -1 (/ (- 1 (log (- 1 x))) y))))) |
(* -1 (* y (+ 1 (* -1 (/ (- 1 (log (- 1 x))) y))))) |
(- 1 y) |
(- (+ 1 x) y) |
(- (+ 1 (* x (+ 1 (* 1/2 x)))) y) |
(- (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/3 x)))))) y) |
(- 1 (+ y (+ (log -1) (* -1 (log (/ 1 x)))))) |
(- (+ 1 (/ 1 x)) (+ y (+ (log -1) (* -1 (log (/ 1 x)))))) |
(- (+ 1 (+ (/ 1/2 (pow x 2)) (/ 1 x))) (+ y (+ (log -1) (* -1 (log (/ 1 x)))))) |
(- (+ 1 (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3)))))) (+ y (+ (log -1) (* -1 (log (/ 1 x)))))) |
(- 1 (+ y (* -1 (log (/ -1 x))))) |
(- (+ 1 (/ 1 x)) (+ y (* -1 (log (/ -1 x))))) |
(- (+ 1 (+ (/ 1/2 (pow x 2)) (/ 1 x))) (+ y (* -1 (log (/ -1 x))))) |
(- (+ 1 (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x))) (+ y (* -1 (log (/ -1 x))))) |
1 |
(+ 1 (* -1 y)) |
(+ 1 (* -1 y)) |
(+ 1 (* -1 y)) |
(* -1 y) |
(* y (- (/ 1 y) 1)) |
(* y (- (/ 1 y) 1)) |
(* y (- (/ 1 y) 1)) |
(* -1 y) |
(* -1 (* y (- 1 (/ 1 y)))) |
(* -1 (* y (- 1 (/ 1 y)))) |
(* -1 (* y (- 1 (/ 1 y)))) |
(- 1 (log (/ -1 y))) |
(- (+ 1 x) (log (/ -1 y))) |
(- (+ 1 (* x (+ 1 (* 1/2 x)))) (log (/ -1 y))) |
(- (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/3 x)))))) (log (/ -1 y))) |
(- 1 (+ (log (/ 1 y)) (* -1 (log (/ 1 x))))) |
(- (+ 1 (/ 1 x)) (+ (log (/ 1 y)) (* -1 (log (/ 1 x))))) |
(- (+ 1 (+ (/ 1/2 (pow x 2)) (/ 1 x))) (+ (log (/ 1 y)) (* -1 (log (/ 1 x))))) |
(- (+ 1 (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3)))))) (+ (log (/ 1 y)) (* -1 (log (/ 1 x))))) |
(- 1 (+ (log (/ -1 y)) (* -1 (log (/ -1 x))))) |
(- (+ 1 (/ 1 x)) (+ (log (/ -1 y)) (* -1 (log (/ -1 x))))) |
(- (+ 1 (+ (/ 1/2 (pow x 2)) (/ 1 x))) (+ (log (/ -1 y)) (* -1 (log (/ -1 x))))) |
(- (+ 1 (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x))) (+ (log (/ -1 y)) (* -1 (log (/ -1 x))))) |
(- 1 (+ (log (- x 1)) (* -1 (log y)))) |
(- 1 (+ (log (- x 1)) (* -1 (log y)))) |
(- 1 (+ (log (- x 1)) (* -1 (log y)))) |
(- 1 (+ (log (- x 1)) (* -1 (log y)))) |
(- 1 (+ (log (- x 1)) (log (/ 1 y)))) |
(- 1 (+ (log (- x 1)) (log (/ 1 y)))) |
(- 1 (+ (log (- x 1)) (log (/ 1 y)))) |
(- 1 (+ (log (- x 1)) (log (/ 1 y)))) |
(- 1 (+ (log (* -1 (- x 1))) (log (/ -1 y)))) |
(- 1 (+ (log (* -1 (- x 1))) (log (/ -1 y)))) |
(- 1 (+ (log (* -1 (- x 1))) (log (/ -1 y)))) |
(- 1 (+ (log (* -1 (- x 1))) (log (/ -1 y)))) |
(log (/ -1 y)) |
(+ (log (/ -1 y)) (* -1 x)) |
(+ (log (/ -1 y)) (* x (- (* -1/2 x) 1))) |
(+ (log (/ -1 y)) (* x (- (* x (- (* -1/3 x) 1/2)) 1))) |
(+ (log (/ 1 y)) (* -1 (log (/ 1 x)))) |
(- (+ (log (/ 1 y)) (* -1 (log (/ 1 x)))) (/ 1 x)) |
(+ (log (/ 1 y)) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x)))) |
(- (+ (log (/ 1 y)) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) (pow x 2))))) (/ 1 x)) |
(+ (log (/ -1 y)) (* -1 (log (/ -1 x)))) |
(- (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))) (/ 1 x)) |
(+ (log (/ -1 y)) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x)))) |
(+ (log (/ -1 y)) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) x)))) |
(+ (log (- x 1)) (* -1 (log y))) |
(+ (log (- x 1)) (* -1 (log y))) |
(+ (log (- x 1)) (* -1 (log y))) |
(+ (log (- x 1)) (* -1 (log y))) |
(+ (log (- x 1)) (log (/ 1 y))) |
(+ (log (- x 1)) (log (/ 1 y))) |
(+ (log (- x 1)) (log (/ 1 y))) |
(+ (log (- x 1)) (log (/ 1 y))) |
(+ (log (* -1 (- x 1))) (log (/ -1 y))) |
(+ (log (* -1 (- x 1))) (log (/ -1 y))) |
(+ (log (* -1 (- x 1))) (log (/ -1 y))) |
(+ (log (* -1 (- x 1))) (log (/ -1 y))) |
(/ -1 y) |
(- (/ x y) (/ 1 y)) |
(- (/ x y) (/ 1 y)) |
(- (/ x y) (/ 1 y)) |
(/ x y) |
(* x (- (/ 1 y) (/ 1 (* x y)))) |
(* x (- (/ 1 y) (/ 1 (* x y)))) |
(* x (- (/ 1 y) (/ 1 (* x y)))) |
(/ x y) |
(* -1 (* x (- (/ 1 (* x y)) (/ 1 y)))) |
(* -1 (* x (- (/ 1 (* x y)) (/ 1 y)))) |
(* -1 (* x (- (/ 1 (* x y)) (/ 1 y)))) |
(/ (- x 1) y) |
(/ (- x 1) y) |
(/ (- x 1) y) |
(/ (- x 1) y) |
(/ (- x 1) y) |
(/ (- x 1) y) |
(/ (- x 1) y) |
(/ (- x 1) y) |
(/ (- x 1) y) |
(/ (- x 1) y) |
(/ (- x 1) y) |
(/ (- x 1) y) |
-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 (- 1 x))) |
(- (+ 1 (* -1 y)) (log (- 1 x))) |
(- (+ 1 (* y (- (* -1/2 y) 1))) (log (- 1 x))) |
(- (+ 1 (* y (- (* -1/2 y) 1))) (log (- 1 x))) |
(* -1/2 (pow y 2)) |
(* -1 (* (pow y 2) (+ 1/2 (/ 1 y)))) |
(* (pow y 2) (- (/ 1 (pow y 2)) (+ 1/2 (+ (/ 1 y) (/ (log (- 1 x)) (pow y 2)))))) |
(* (pow y 2) (- (/ 1 (pow y 2)) (+ 1/2 (+ (/ 1 y) (/ (log (- 1 x)) (pow y 2)))))) |
(* -1/2 (pow y 2)) |
(* -1 (* (pow y 2) (+ 1/2 (/ 1 y)))) |
(* (pow y 2) (- (* -1 (/ (+ 1 (* -1 (/ (- 1 (log (- 1 x))) y))) y)) 1/2)) |
(* (pow y 2) (- (* -1 (/ (+ 1 (* -1 (/ (- 1 (log (- 1 x))) y))) y)) 1/2)) |
(+ 1 (* y (- (* -1/2 y) 1))) |
(+ 1 (+ x (* y (- (* -1/2 y) 1)))) |
(+ 1 (+ (* x (+ 1 (* 1/2 x))) (* y (- (* -1/2 y) 1)))) |
(+ 1 (+ (* x (+ 1 (* x (+ 1/2 (* 1/3 x))))) (* y (- (* -1/2 y) 1)))) |
(- (+ 1 (* y (- (* -1/2 y) 1))) (+ (log -1) (* -1 (log (/ 1 x))))) |
(- (+ 1 (+ (* y (- (* -1/2 y) 1)) (/ 1 x))) (+ (log -1) (* -1 (log (/ 1 x))))) |
(- (+ 1 (+ (* y (- (* -1/2 y) 1)) (+ (/ 1/2 (pow x 2)) (/ 1 x)))) (+ (log -1) (* -1 (log (/ 1 x))))) |
(- (+ 1 (+ (* y (- (* -1/2 y) 1)) (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))))) (+ (log -1) (* -1 (log (/ 1 x))))) |
(- (+ 1 (* y (- (* -1/2 y) 1))) (* -1 (log (/ -1 x)))) |
(- (+ 1 (+ (* y (- (* -1/2 y) 1)) (/ 1 x))) (* -1 (log (/ -1 x)))) |
(- (+ 1 (+ (* y (- (* -1/2 y) 1)) (+ (/ 1/2 (pow x 2)) (/ 1 x)))) (* -1 (log (/ -1 x)))) |
(- (+ 1 (+ (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x)) (* y (- (* -1/2 y) 1)))) (* -1 (log (/ -1 x)))) |
1 |
(+ 1 (* -1 y)) |
(+ 1 (* y (- (* -1/2 y) 1))) |
(+ 1 (* y (- (* -1/2 y) 1))) |
(* -1/2 (pow y 2)) |
(* -1 (* (pow y 2) (+ 1/2 (/ 1 y)))) |
(* (pow y 2) (- (/ 1 (pow y 2)) (+ 1/2 (/ 1 y)))) |
(* (pow y 2) (- (/ 1 (pow y 2)) (+ 1/2 (/ 1 y)))) |
(* -1/2 (pow y 2)) |
(* -1 (* (pow y 2) (+ 1/2 (/ 1 y)))) |
(* (pow y 2) (- (* -1 (/ (- 1 (/ 1 y)) y)) 1/2)) |
(* (pow y 2) (- (* -1 (/ (- 1 (/ 1 y)) y)) 1/2)) |
-1 |
(- (* -1/2 y) 1) |
(- (* -1/2 y) 1) |
(- (* -1/2 y) 1) |
(* -1/2 y) |
(* -1 (* y (+ 1/2 (/ 1 y)))) |
(* -1 (* y (+ 1/2 (/ 1 y)))) |
(* -1 (* y (+ 1/2 (/ 1 y)))) |
(* -1/2 y) |
(* -1 (* y (+ 1/2 (/ 1 y)))) |
(* -1 (* y (+ 1/2 (/ 1 y)))) |
(* -1 (* y (+ 1/2 (/ 1 y)))) |
-1 |
(- y 1) |
(- y 1) |
(- y 1) |
y |
(* y (- 1 (/ 1 y))) |
(* y (- 1 (/ 1 y))) |
(* y (- 1 (/ 1 y))) |
y |
(* -1 (* y (- (/ 1 y) 1))) |
(* -1 (* y (- (/ 1 y) 1))) |
(* -1 (* y (- (/ 1 y) 1))) |
| Outputs |
|---|
(- 1 (log (- 1 (/ y (- y 1))))) |
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)))) |
(- (+ 1 (* -1 (/ x (* (- 1 (/ y (- y 1))) (- y 1))))) (log (- 1 (/ y (- y 1))))) |
(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 x (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) y))) (log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y))))) |
(- (+ 1 (* x (- (* 1/2 (/ x (* (pow (- 1 (/ y (- y 1))) 2) (pow (- y 1) 2)))) (/ 1 (* (- 1 (/ y (- y 1))) (- y 1)))))) (log (- 1 (/ y (- y 1))))) |
(fma.f64 x (fma.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal -1 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal -1 binary64)))) (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64)))))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) y)))) (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y))))) |
(- (+ 1 (* x (- (* x (+ (* -1/3 (/ x (* (pow (- 1 (/ y (- y 1))) 3) (pow (- y 1) 3)))) (* 1/2 (/ 1 (* (pow (- 1 (/ y (- y 1))) 2) (pow (- y 1) 2)))))) (/ 1 (* (- 1 (/ y (- y 1))) (- y 1)))))) (log (- 1 (/ y (- y 1))))) |
(fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/3 binary64) (/.f64 x (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal -1 binary64))))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal -1 binary64)))) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64))))))) (/.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal -1 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal -1 binary64)))) (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64))))))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) y)))) (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y))))) |
(- 1 (+ (log (/ 1 (- y 1))) (* -1 (log (/ 1 x))))) |
(+.f64 (-.f64 #s(literal 1 binary64) (log.f64 x)) (log.f64 (+.f64 y #s(literal -1 binary64)))) |
(- (+ 1 (* -1 (/ (* (- 1 (/ y (- y 1))) (- y 1)) x))) (+ (log (/ 1 (- y 1))) (* -1 (log (/ 1 x))))) |
(+.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal -1 binary64)))) x) (log.f64 (+.f64 y #s(literal -1 binary64)))) (log.f64 x))) |
(- (+ 1 (* 1/2 (/ (* (pow (- 1 (/ y (- y 1))) 2) (pow (- y 1) 2)) (pow x 2)))) (+ (log (/ 1 (- y 1))) (+ (* -1 (log (/ 1 x))) (/ (* (- 1 (/ y (- y 1))) (- y 1)) x)))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal -1 binary64))))) (/.f64 (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64))) (*.f64 x x))) (-.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal -1 binary64)))) (/.f64 (+.f64 y #s(literal -1 binary64)) x) (-.f64 (log.f64 x) (log.f64 (+.f64 y #s(literal -1 binary64))))))) |
(- (+ 1 (* -1/3 (/ (* (pow (- 1 (/ y (- y 1))) 3) (pow (- y 1) 3)) (pow x 3)))) (+ (log (/ 1 (- y 1))) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (* (pow (- 1 (/ y (- y 1))) 2) (pow (- y 1) 2)) (pow x 2))) (/ (* (- 1 (/ y (- y 1))) (- y 1)) x))))) |
(-.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal -1 binary64)))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal -1 binary64))))) (*.f64 (+.f64 y #s(literal -1 binary64)) (/.f64 (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64))) (*.f64 x (*.f64 x x)))))) (+.f64 #s(literal 1 binary64) (log.f64 (+.f64 y #s(literal -1 binary64))))) (+.f64 (log.f64 x) (/.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal -1 binary64))))) (*.f64 (/.f64 (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64))) x) #s(literal -1/2 binary64)) (*.f64 (+.f64 y #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal -1 binary64)))))) x))) |
(- 1 (+ (log (neg (/ 1 (- y 1)))) (* -1 (log (/ -1 x))))) |
(+.f64 #s(literal 1 binary64) (+.f64 (neg.f64 (log.f64 (neg.f64 x))) (log1p.f64 (neg.f64 y)))) |
(- (+ 1 (* -1 (/ (* (+ 1 (* -1 (/ y (- y 1)))) (- y 1)) x))) (+ (log (neg (/ 1 (- y 1)))) (* -1 (log (/ -1 x))))) |
(+.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal -1 binary64)))) x) #s(literal 1 binary64)) (+.f64 (neg.f64 (log.f64 (neg.f64 x))) (log1p.f64 (neg.f64 y)))) |
(- (+ 1 (* -1 (/ (- (* -1/2 (/ (* (pow (+ 1 (* -1 (/ y (- y 1)))) 2) (pow (- y 1) 2)) x)) (* -1 (* (+ 1 (* -1 (/ y (- y 1)))) (- y 1)))) x))) (+ (log (neg (/ 1 (- y 1)))) (* -1 (log (/ -1 x))))) |
(+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal -1 binary64))))) (*.f64 (/.f64 (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64))) x) #s(literal -1/2 binary64)) (*.f64 (+.f64 y #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal -1 binary64)))))) x)) (+.f64 (neg.f64 (log.f64 (neg.f64 x))) (log1p.f64 (neg.f64 y)))) |
(- (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1/3 (/ (* (pow (+ 1 (* -1 (/ y (- y 1)))) 3) (pow (- y 1) 3)) x)) (* -1/2 (* (pow (+ 1 (* -1 (/ y (- y 1)))) 2) (pow (- y 1) 2)))) x)) (* -1 (* (+ 1 (* -1 (/ y (- y 1)))) (- y 1)))) x))) (+ (log (neg (/ 1 (- y 1)))) (* -1 (log (/ -1 x))))) |
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal -1 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal -1 binary64)))) (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64))))) (*.f64 #s(literal -1/3 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal -1 binary64)))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal -1 binary64))))) (*.f64 (+.f64 y #s(literal -1 binary64)) (/.f64 (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64))) x)))))) x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) y))) x) (+.f64 (neg.f64 (log.f64 (neg.f64 x))) (log1p.f64 (neg.f64 y))))) |
(- 1 (log (+ 1 (* -1 x)))) |
(-.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x))) |
(- (+ 1 (* y (- (/ x (+ 1 (* -1 x))) (/ 1 (+ 1 (* -1 x)))))) (log (+ 1 (* -1 x)))) |
(-.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 x))) |
(- (+ 1 (* y (- (+ (* -1/2 (* y (+ (* -1 (/ (pow (- 1 x) 2) (pow (+ 1 (* -1 x)) 2))) (* 2 (/ (- 1 x) (+ 1 (* -1 x))))))) (/ x (+ 1 (* -1 x)))) (/ 1 (+ 1 (* -1 x)))))) (log (+ 1 (* -1 x)))) |
(-.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (log1p.f64 (neg.f64 x))) |
(- (+ 1 (* y (- (+ (* y (- (* -1/6 (* y (+ (* -6 (/ (pow (- 1 x) 2) (pow (+ 1 (* -1 x)) 2))) (+ (* 2 (/ (pow (- 1 x) 3) (pow (+ 1 (* -1 x)) 3))) (* 6 (/ (- 1 x) (+ 1 (* -1 x)))))))) (* 1/2 (+ (* -1 (/ (pow (- 1 x) 2) (pow (+ 1 (* -1 x)) 2))) (* 2 (/ (- 1 x) (+ 1 (* -1 x)))))))) (/ x (+ 1 (* -1 x)))) (/ 1 (+ 1 (* -1 x)))))) (log (+ 1 (* -1 x)))) |
(-.f64 (fma.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)) (log1p.f64 (neg.f64 x))) |
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(fma.f64 x (/.f64 #s(literal -1 binary64) (*.f64 y x)) (neg.f64 (/.f64 x (neg.f64 y)))) |
(/ (- x 1) y) |
(/.f64 (+.f64 #s(literal -1 binary64) x) y) |
(/ (- x 1) y) |
(/.f64 (+.f64 #s(literal -1 binary64) x) y) |
(/ (- x 1) y) |
(/.f64 (+.f64 #s(literal -1 binary64) x) y) |
(/ (- x 1) y) |
(/.f64 (+.f64 #s(literal -1 binary64) x) y) |
(/ (- x 1) y) |
(/.f64 (+.f64 #s(literal -1 binary64) x) y) |
(/ (- x 1) y) |
(/.f64 (+.f64 #s(literal -1 binary64) x) y) |
(/ (- x 1) y) |
(/.f64 (+.f64 #s(literal -1 binary64) x) y) |
(/ (- x 1) y) |
(/.f64 (+.f64 #s(literal -1 binary64) x) y) |
(/ (- x 1) y) |
(/.f64 (+.f64 #s(literal -1 binary64) x) y) |
(/ (- x 1) y) |
(/.f64 (+.f64 #s(literal -1 binary64) x) y) |
(/ (- x 1) y) |
(/.f64 (+.f64 #s(literal -1 binary64) x) y) |
(/ (- x 1) y) |
(/.f64 (+.f64 #s(literal -1 binary64) x) y) |
-1 |
#s(literal -1 binary64) |
(- x 1) |
(+.f64 #s(literal -1 binary64) x) |
(- x 1) |
(+.f64 #s(literal -1 binary64) x) |
(- x 1) |
(+.f64 #s(literal -1 binary64) x) |
x |
(* x (- 1 (/ 1 x))) |
(+.f64 #s(literal -1 binary64) x) |
(* x (- 1 (/ 1 x))) |
(+.f64 #s(literal -1 binary64) x) |
(* x (- 1 (/ 1 x))) |
(+.f64 #s(literal -1 binary64) x) |
x |
(* -1 (* x (- (/ 1 x) 1))) |
(+.f64 #s(literal -1 binary64) x) |
(* -1 (* x (- (/ 1 x) 1))) |
(+.f64 #s(literal -1 binary64) x) |
(* -1 (* x (- (/ 1 x) 1))) |
(+.f64 #s(literal -1 binary64) x) |
(- 1 (log (- 1 x))) |
(-.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x))) |
(- (+ 1 (* -1 y)) (log (- 1 x))) |
(-.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 x))) |
(- (+ 1 (* y (- (* -1/2 y) 1))) (log (- 1 x))) |
(-.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (log1p.f64 (neg.f64 x))) |
(- (+ 1 (* y (- (* -1/2 y) 1))) (log (- 1 x))) |
(-.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (log1p.f64 (neg.f64 x))) |
(* -1/2 (pow y 2)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 y y)) |
(* -1 (* (pow y 2) (+ 1/2 (/ 1 y)))) |
(*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))) |
(* (pow y 2) (- (/ 1 (pow y 2)) (+ 1/2 (+ (/ 1 y) (/ (log (- 1 x)) (pow y 2)))))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (-.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) y)) (/.f64 (log1p.f64 (neg.f64 x)) (*.f64 y y))))) |
(* (pow y 2) (- (/ 1 (pow y 2)) (+ 1/2 (+ (/ 1 y) (/ (log (- 1 x)) (pow y 2)))))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (-.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) y)) (/.f64 (log1p.f64 (neg.f64 x)) (*.f64 y y))))) |
(* -1/2 (pow y 2)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 y y)) |
(* -1 (* (pow y 2) (+ 1/2 (/ 1 y)))) |
(*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))) |
(* (pow y 2) (- (* -1 (/ (+ 1 (* -1 (/ (- 1 (log (- 1 x))) y))) y)) 1/2)) |
(*.f64 (*.f64 y y) (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x))) y)) y))) |
(* (pow y 2) (- (* -1 (/ (+ 1 (* -1 (/ (- 1 (log (- 1 x))) y))) y)) 1/2)) |
(*.f64 (*.f64 y y) (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x))) y)) y))) |
(+ 1 (* y (- (* -1/2 y) 1))) |
(fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(+ 1 (+ x (* y (- (* -1/2 y) 1)))) |
(+.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) x)) |
(+ 1 (+ (* x (+ 1 (* 1/2 x))) (* y (- (* -1/2 y) 1)))) |
(fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(+ 1 (+ (* x (+ 1 (* x (+ 1/2 (* 1/3 x))))) (* y (- (* -1/2 y) 1)))) |
(fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(- (+ 1 (* y (- (* -1/2 y) 1))) (+ (log -1) (* -1 (log (/ 1 x))))) |
(-.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 (log.f64 x) (log.f64 #s(literal -1 binary64)))) |
(- (+ 1 (+ (* y (- (* -1/2 y) 1)) (/ 1 x))) (+ (log -1) (* -1 (log (/ 1 x))))) |
(+.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (+.f64 (log.f64 x) (log.f64 #s(literal -1 binary64))))) |
(- (+ 1 (+ (* y (- (* -1/2 y) 1)) (+ (/ 1/2 (pow x 2)) (/ 1 x)))) (+ (log -1) (* -1 (log (/ 1 x))))) |
(+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1 binary64) (+.f64 (log.f64 x) (log.f64 #s(literal -1 binary64))))) |
(- (+ 1 (+ (* y (- (* -1/2 y) 1)) (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))))) (+ (log -1) (* -1 (log (/ 1 x))))) |
(+.f64 #s(literal 1 binary64) (+.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)))) (+.f64 (log.f64 x) (log.f64 #s(literal -1 binary64)))))) |
(- (+ 1 (* y (- (* -1/2 y) 1))) (* -1 (log (/ -1 x)))) |
(+.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x))))) |
(- (+ 1 (+ (* y (- (* -1/2 y) 1)) (/ 1 x))) (* -1 (log (/ -1 x)))) |
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))))) |
(- (+ 1 (+ (* y (- (* -1/2 y) 1)) (+ (/ 1/2 (pow x 2)) (/ 1 x)))) (* -1 (log (/ -1 x)))) |
(+.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (neg.f64 (log.f64 (neg.f64 x))))) |
(- (+ 1 (+ (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x)) (* y (- (* -1/2 y) 1)))) (* -1 (log (/ -1 x)))) |
(+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x)) (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x))))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 y)) |
(-.f64 #s(literal 1 binary64) y) |
(+ 1 (* y (- (* -1/2 y) 1))) |
(fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(+ 1 (* y (- (* -1/2 y) 1))) |
(fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(* -1/2 (pow y 2)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 y y)) |
(* -1 (* (pow y 2) (+ 1/2 (/ 1 y)))) |
(*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))) |
(* (pow y 2) (- (/ 1 (pow y 2)) (+ 1/2 (/ 1 y)))) |
(fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(* (pow y 2) (- (/ 1 (pow y 2)) (+ 1/2 (/ 1 y)))) |
(fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(* -1/2 (pow y 2)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 y y)) |
(* -1 (* (pow y 2) (+ 1/2 (/ 1 y)))) |
(*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))) |
(* (pow y 2) (- (* -1 (/ (- 1 (/ 1 y)) y)) 1/2)) |
(*.f64 y (*.f64 y (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y)))) |
(* (pow y 2) (- (* -1 (/ (- 1 (/ 1 y)) y)) 1/2)) |
(*.f64 y (*.f64 y (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y)))) |
-1 |
#s(literal -1 binary64) |
(- (* -1/2 y) 1) |
(fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) |
(- (* -1/2 y) 1) |
(fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) |
(- (* -1/2 y) 1) |
(fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) |
(* -1/2 y) |
(*.f64 y #s(literal -1/2 binary64)) |
(* -1 (* y (+ 1/2 (/ 1 y)))) |
(fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) |
(* -1 (* y (+ 1/2 (/ 1 y)))) |
(fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) |
(* -1 (* y (+ 1/2 (/ 1 y)))) |
(fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) |
(* -1/2 y) |
(*.f64 y #s(literal -1/2 binary64)) |
(* -1 (* y (+ 1/2 (/ 1 y)))) |
(fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) |
(* -1 (* y (+ 1/2 (/ 1 y)))) |
(fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) |
(* -1 (* y (+ 1/2 (/ 1 y)))) |
(fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) |
-1 |
#s(literal -1 binary64) |
(- y 1) |
(+.f64 y #s(literal -1 binary64)) |
(- y 1) |
(+.f64 y #s(literal -1 binary64)) |
(- y 1) |
(+.f64 y #s(literal -1 binary64)) |
y |
(* y (- 1 (/ 1 y))) |
(+.f64 y #s(literal -1 binary64)) |
(* y (- 1 (/ 1 y))) |
(+.f64 y #s(literal -1 binary64)) |
(* y (- 1 (/ 1 y))) |
(+.f64 y #s(literal -1 binary64)) |
y |
(* -1 (* y (- (/ 1 y) 1))) |
(+.f64 y #s(literal -1 binary64)) |
(* -1 (* y (- (/ 1 y) 1))) |
(+.f64 y #s(literal -1 binary64)) |
(* -1 (* y (- (/ 1 y) 1))) |
(+.f64 y #s(literal -1 binary64)) |
Compiled 25 255 to 2 993 computations (88.1% saved)
24 alts after pruning (20 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 083 | 17 | 1 100 |
| Fresh | 2 | 3 | 5 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 086 | 24 | 1 110 |
| Status | Accuracy | Program |
|---|---|---|
| 35.6% | (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) | |
| 42.8% | (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log.f64 (/.f64 y (+.f64 x #s(literal -1 binary64)))) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (log.f64 (/.f64 y (+.f64 x #s(literal -1 binary64)))))) | |
| 69.8% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))))) | |
| 36.5% | (-.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (neg.f64 x)) | |
| ✓ | 58.7% | (-.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 x))) |
| ▶ | 21.6% | (-.f64 (+.f64 #s(literal 1 binary64) x) (neg.f64 (log.f64 (neg.f64 y)))) |
| 9.0% | (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) (log1p.f64 (neg.f64 x))) | |
| 10.2% | (-.f64 (neg.f64 y) (log1p.f64 (neg.f64 x))) | |
| 24.3% | (-.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (neg.f64 y)))) | |
| ✓ | 69.9% | (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) |
| 36.6% | (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)))) | |
| ▶ | 71.0% | (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))))) |
| ✓ | 60.3% | (-.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x))) |
| 41.3% | (-.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal -1 binary64) (+.f64 x (/.f64 (+.f64 #s(literal -1 binary64) x) y))) y))) | |
| ✓ | 42.9% | (-.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y))) |
| 23.6% | (-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x y))) | |
| 36.5% | (-.f64 #s(literal 1 binary64) y) | |
| ▶ | 36.5% | (+.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) x)) |
| ▶ | 37.5% | (+.f64 #s(literal 1 binary64) (-.f64 x y)) |
| 38.8% | (+.f64 #s(literal 1 binary64) x) | |
| 3.0% | (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))) | |
| 2.9% | (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) | |
| 4.1% | (neg.f64 y) | |
| ▶ | 38.8% | #s(literal 1 binary64) |
Compiled 416 to 306 computations (26.4% saved)
| 1× | egg-herbie |
Found 13 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (log.f64 (neg.f64 y)) |
| ✓ | cost-diff | 0 | (neg.f64 (log.f64 (neg.f64 y))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) x) |
| ✓ | cost-diff | 128 | (-.f64 (+.f64 #s(literal 1 binary64) x) (neg.f64 (log.f64 (neg.f64 y)))) |
| ✓ | cost-diff | 0 | (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) x) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) x)) |
| ✓ | cost-diff | 0 | (-.f64 x y) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) (-.f64 x y)) |
| ✓ | cost-diff | 0 | (+.f64 y #s(literal -1 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 x (+.f64 y #s(literal -1 binary64))) |
| ✓ | cost-diff | 0 | (log1p.f64 (/.f64 x (+.f64 y #s(literal -1 binary64)))) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))))) |
| 1 636× | lower-fma.f32 |
| 1 632× | lower-fma.f64 |
| 480× | lower-*.f64 |
| 480× | lower-*.f32 |
| 472× | lower-+.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 86 |
| 0 | 36 | 86 |
| 1 | 66 | 85 |
| 2 | 131 | 85 |
| 3 | 229 | 85 |
| 4 | 412 | 85 |
| 5 | 868 | 85 |
| 6 | 1249 | 85 |
| 7 | 1653 | 85 |
| 8 | 1876 | 85 |
| 9 | 1932 | 85 |
| 10 | 1955 | 85 |
| 11 | 1973 | 85 |
| 12 | 1985 | 85 |
| 0 | 1985 | 85 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))))) |
#s(literal 1 binary64) |
(log1p.f64 (/.f64 x (+.f64 y #s(literal -1 binary64)))) |
(/.f64 x (+.f64 y #s(literal -1 binary64))) |
x |
(+.f64 y #s(literal -1 binary64)) |
y |
#s(literal -1 binary64) |
#s(literal 1 binary64) |
(+.f64 #s(literal 1 binary64) (-.f64 x y)) |
#s(literal 1 binary64) |
(-.f64 x y) |
x |
y |
(+.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) x)) |
#s(literal 1 binary64) |
(fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) x) |
y |
(fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) |
#s(literal -1/2 binary64) |
#s(literal -1 binary64) |
x |
(-.f64 (+.f64 #s(literal 1 binary64) x) (neg.f64 (log.f64 (neg.f64 y)))) |
(+.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(neg.f64 (log.f64 (neg.f64 y))) |
(log.f64 (neg.f64 y)) |
(neg.f64 y) |
y |
| Outputs |
|---|
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))))) |
#s(literal 1 binary64) |
(log1p.f64 (/.f64 x (+.f64 y #s(literal -1 binary64)))) |
(/.f64 x (+.f64 y #s(literal -1 binary64))) |
x |
(+.f64 y #s(literal -1 binary64)) |
y |
#s(literal -1 binary64) |
#s(literal 1 binary64) |
(+.f64 #s(literal 1 binary64) (-.f64 x y)) |
#s(literal 1 binary64) |
(-.f64 x y) |
x |
y |
(+.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) x)) |
#s(literal 1 binary64) |
(fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) x) |
y |
(fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) |
#s(literal -1/2 binary64) |
#s(literal -1 binary64) |
x |
(-.f64 (+.f64 #s(literal 1 binary64) x) (neg.f64 (log.f64 (neg.f64 y)))) |
(+.f64 (+.f64 #s(literal 1 binary64) x) (log.f64 (neg.f64 y))) |
(+.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(neg.f64 (log.f64 (neg.f64 y))) |
(log.f64 (neg.f64 y)) |
(neg.f64 y) |
y |
Found 13 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (neg.f64 (log.f64 (neg.f64 y))) |
| ✓ | accuracy | 100.0% | (neg.f64 y) |
| ✓ | accuracy | 100.0% | (log.f64 (neg.f64 y)) |
| ✓ | accuracy | 100.0% | (-.f64 (+.f64 #s(literal 1 binary64) x) (neg.f64 (log.f64 (neg.f64 y)))) |
| ✓ | accuracy | 100.0% | (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) x) |
| ✓ | accuracy | 100.0% | (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) x)) |
| ✓ | accuracy | 100.0% | (-.f64 x y) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal 1 binary64) (-.f64 x y)) |
| ✓ | accuracy | 100.0% | (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))))) |
| ✓ | accuracy | 100.0% | (+.f64 y #s(literal -1 binary64)) |
| ✓ | accuracy | 100.0% | (log1p.f64 (/.f64 x (+.f64 y #s(literal -1 binary64)))) |
| ✓ | accuracy | 100.0% | (/.f64 x (+.f64 y #s(literal -1 binary64))) |
| 124.0ms | 97× | 0 | invalid |
| 23.0ms | 159× | 0 | valid |
Compiled 88 to 23 computations (73.9% saved)
ival-log: 111.0ms (83.3% of total)ival-add: 7.0ms (5.3% of total)ival-log1p: 4.0ms (3% of total)ival-mult: 3.0ms (2.3% of total)ival-sub: 3.0ms (2.3% of total)ival-div: 2.0ms (1.5% of total)ival-neg: 2.0ms (1.5% 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 #s(literal 1 binary64) (log1p.f64 (/.f64 x (+.f64 y #s(literal -1 binary64)))))> |
#<alt (log1p.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))))> |
#<alt (/.f64 x (+.f64 y #s(literal -1 binary64)))> |
#<alt (+.f64 y #s(literal -1 binary64))> |
#<alt (+.f64 #s(literal 1 binary64) (-.f64 x y))> |
#<alt (-.f64 x y)> |
#<alt (+.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) x))> |
#<alt (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) x)> |
#<alt (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))> |
#<alt (-.f64 (+.f64 #s(literal 1 binary64) x) (neg.f64 (log.f64 (neg.f64 y))))> |
#<alt (+.f64 #s(literal 1 binary64) x)> |
#<alt (neg.f64 (log.f64 (neg.f64 y)))> |
#<alt (log.f64 (neg.f64 y))> |
#<alt (neg.f64 y)> |
| Outputs |
|---|
#<alt 1> |
#<alt (+ 1 (* -1 (/ x (- y 1))))> |
#<alt (+ 1 (* x (- (* 1/2 (/ x (pow (- y 1) 2))) (/ 1 (- y 1)))))> |
#<alt (+ 1 (* x (- (* x (+ (* -1/3 (/ x (pow (- y 1) 3))) (* 1/2 (/ 1 (pow (- y 1) 2))))) (/ 1 (- y 1)))))> |
#<alt (- 1 (+ (log (/ 1 (- y 1))) (* -1 (log (/ 1 x)))))> |
#<alt (- (+ 1 (/ 1 x)) (+ (log (/ 1 (- y 1))) (+ (* -1 (log (/ 1 x))) (/ y x))))> |
#<alt (- (+ 1 (+ (* 1/2 (/ (pow (- y 1) 2) (pow x 2))) (/ 1 x))) (+ (log (/ 1 (- y 1))) (+ (* -1 (log (/ 1 x))) (/ y x))))> |
#<alt (- (+ 1 (+ (* -1/3 (/ (pow (- y 1) 3) (pow x 3))) (/ 1 x))) (+ (log (/ 1 (- y 1))) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow (- y 1) 2) (pow x 2))) (/ y x)))))> |
#<alt (- 1 (+ (log (neg (/ 1 (- y 1)))) (* -1 (log (/ -1 x)))))> |
#<alt (- (+ 1 (* -1 (/ (- y 1) x))) (+ (log (neg (/ 1 (- y 1)))) (* -1 (log (/ -1 x)))))> |
#<alt (- (+ 1 (* -1 (/ (- (* -1/2 (/ (pow (- y 1) 2) x)) (* -1 (- y 1))) x))) (+ (log (neg (/ 1 (- y 1)))) (* -1 (log (/ -1 x)))))> |
#<alt (- (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1/3 (/ (pow (- y 1) 3) x)) (* -1/2 (pow (- y 1) 2))) x)) (* -1 (- y 1))) x))) (+ (log (neg (/ 1 (- y 1)))) (* -1 (log (/ -1 x)))))> |
#<alt (- 1 (log (+ 1 (* -1 x))))> |
#<alt (- (+ 1 (/ (* x y) (+ 1 (* -1 x)))) (log (+ 1 (* -1 x))))> |
#<alt (- (+ 1 (* y (- (* -1/2 (* y (+ (* -2 (/ x (+ 1 (* -1 x)))) (* -1 (/ (pow x 2) (pow (+ 1 (* -1 x)) 2)))))) (* -1 (/ x (+ 1 (* -1 x))))))) (log (+ 1 (* -1 x))))> |
#<alt (- (+ 1 (* y (- (* y (- (* -1/6 (* y (+ (* -6 (/ x (+ 1 (* -1 x)))) (+ (* -6 (/ (pow x 2) (pow (+ 1 (* -1 x)) 2))) (* -2 (/ (pow x 3) (pow (+ 1 (* -1 x)) 3))))))) (* 1/2 (+ (* -2 (/ x (+ 1 (* -1 x)))) (* -1 (/ (pow x 2) (pow (+ 1 (* -1 x)) 2))))))) (* -1 (/ x (+ 1 (* -1 x))))))) (log (+ 1 (* -1 x))))> |
#<alt 1> |
#<alt (+ 1 (* -1 (/ x y)))> |
#<alt (- (+ 1 (* -1/2 (/ (+ (* -1 (pow x 2)) (* 2 x)) (pow y 2)))) (/ x y))> |
#<alt (- (+ 1 (* -1/6 (/ (+ (* -6 (pow x 2)) (+ (* 2 (pow x 3)) (* 6 x))) (pow y 3)))) (+ (* 1/2 (/ (+ (* -1 (pow x 2)) (* 2 x)) (pow y 2))) (/ x y)))> |
#<alt 1> |
#<alt (+ 1 (* -1 (/ x y)))> |
#<alt (+ 1 (* -1 (/ (- (* 1/2 (/ (+ (* -1 (pow x 2)) (* 2 x)) y)) (* -1 x)) y)))> |
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (- (* 1/6 (/ (+ (* -6 x) (+ (* -2 (pow x 3)) (* 6 (pow x 2)))) y)) (* 1/2 (+ (* -1 (pow x 2)) (* 2 x)))) y)) (* -1 x)) y)))> |
#<alt (/ x (- y 1))> |
#<alt (* x (+ (* -1/2 (/ x (pow (- y 1) 2))) (/ 1 (- y 1))))> |
#<alt (* x (+ (* x (- (* 1/3 (/ x (pow (- y 1) 3))) (* 1/2 (/ 1 (pow (- y 1) 2))))) (/ 1 (- y 1))))> |
#<alt (* x (+ (* x (- (* x (+ (* -1/4 (/ x (pow (- y 1) 4))) (* 1/3 (/ 1 (pow (- y 1) 3))))) (* 1/2 (/ 1 (pow (- y 1) 2))))) (/ 1 (- y 1))))> |
#<alt (+ (log (/ 1 (- y 1))) (* -1 (log (/ 1 x))))> |
#<alt (- (+ (log (/ 1 (- y 1))) (+ (* -1 (log (/ 1 x))) (/ y x))) (/ 1 x))> |
#<alt (- (+ (log (/ 1 (- y 1))) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow (- y 1) 2) (pow x 2))) (/ y x)))) (/ 1 x))> |
#<alt (- (+ (log (/ 1 (- y 1))) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow (- y 1) 2) (pow x 2))) (+ (* 1/3 (/ (pow (- y 1) 3) (pow x 3))) (/ y x))))) (/ 1 x))> |
#<alt (+ (log (neg (/ 1 (- y 1)))) (* -1 (log (/ -1 x))))> |
#<alt (- (+ (log (neg (/ 1 (- y 1)))) (+ (* -1 (log (/ -1 x))) (/ y x))) (/ 1 x))> |
#<alt (+ (log (neg (/ 1 (- y 1)))) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 (- y 1)) (* 1/2 (/ (pow (- y 1) 2) x))) x))))> |
#<alt (+ (log (neg (/ 1 (- y 1)))) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 (- y 1)) (* -1 (/ (+ (* -1/2 (pow (- y 1) 2)) (* 1/3 (/ (pow (- y 1) 3) x))) x))) x))))> |
#<alt (log (+ 1 (* -1 x)))> |
#<alt (+ (log (+ 1 (* -1 x))) (* -1 (/ (* x y) (+ 1 (* -1 x)))))> |
#<alt (+ (log (+ 1 (* -1 x))) (* y (+ (* -1 (/ x (+ 1 (* -1 x)))) (* 1/2 (* y (+ (* -2 (/ x (+ 1 (* -1 x)))) (* -1 (/ (pow x 2) (pow (+ 1 (* -1 x)) 2)))))))))> |
#<alt (+ (log (+ 1 (* -1 x))) (* y (+ (* -1 (/ x (+ 1 (* -1 x)))) (* y (+ (* 1/6 (* y (+ (* -6 (/ x (+ 1 (* -1 x)))) (+ (* -6 (/ (pow x 2) (pow (+ 1 (* -1 x)) 2))) (* -2 (/ (pow x 3) (pow (+ 1 (* -1 x)) 3))))))) (* 1/2 (+ (* -2 (/ x (+ 1 (* -1 x)))) (* -1 (/ (pow x 2) (pow (+ 1 (* -1 x)) 2))))))))))> |
#<alt (/ x y)> |
#<alt (/ (+ x (* 1/2 (/ (+ (* -1 (pow x 2)) (* 2 x)) y))) y)> |
#<alt (/ (+ x (+ (* 1/6 (/ (+ (* -6 (pow x 2)) (+ (* 2 (pow x 3)) (* 6 x))) (pow y 2))) (* 1/2 (/ (+ (* -1 (pow x 2)) (* 2 x)) y)))) y)> |
#<alt (/ (+ x (+ (* 1/24 (/ (+ (* -24 (pow x 2)) (+ (* -12 (pow x 2)) (+ (* -6 (pow x 4)) (+ (* 24 x) (* 24 (pow x 3)))))) (pow y 3))) (+ (* 1/6 (/ (+ (* -6 (pow x 2)) (+ (* 2 (pow x 3)) (* 6 x))) (pow y 2))) (* 1/2 (/ (+ (* -1 (pow x 2)) (* 2 x)) y))))) y)> |
#<alt (/ x y)> |
#<alt (* -1 (/ (+ (* -1 x) (* -1/2 (/ (+ (* -1 (pow x 2)) (* 2 x)) y))) y))> |
#<alt (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1/6 (/ (+ (* -6 x) (+ (* -2 (pow x 3)) (* 6 (pow x 2)))) y)) (* 1/2 (+ (* -1 (pow x 2)) (* 2 x)))) y))) y))> |
#<alt (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (/ (+ (* -24 (pow x 2)) (+ (* -12 (pow x 2)) (+ (* -6 (pow x 4)) (+ (* 24 x) (* 24 (pow x 3)))))) y)) (* 1/6 (+ (* -6 x) (+ (* -2 (pow x 3)) (* 6 (pow x 2)))))) y)) (* 1/2 (+ (* -1 (pow x 2)) (* 2 x)))) y))) y))> |
#<alt (/ x (- y 1))> |
#<alt (/ x (- y 1))> |
#<alt (/ x (- y 1))> |
#<alt (/ x (- y 1))> |
#<alt (/ x (- y 1))> |
#<alt (/ x (- y 1))> |
#<alt (/ x (- y 1))> |
#<alt (/ x (- y 1))> |
#<alt (/ x (- y 1))> |
#<alt (/ x (- y 1))> |
#<alt (/ x (- y 1))> |
#<alt (/ x (- y 1))> |
#<alt (* -1 x)> |
#<alt (+ (* -1 x) (* -1 (* x y)))> |
#<alt (+ (* -1 x) (* y (- (* -1 (* x y)) x)))> |
#<alt (+ (* -1 x) (* y (- (* y (- (* -1 (* x y)) x)) x)))> |
#<alt (/ x y)> |
#<alt (/ (+ x (/ x y)) y)> |
#<alt (/ (- (+ x (/ x (pow y 2))) (* -1 (/ x y))) y)> |
#<alt (/ (- (+ x (/ x (pow y 3))) (+ (* -1 (/ x y)) (* -1 (/ x (pow y 2))))) y)> |
#<alt (/ x y)> |
#<alt (* -1 (/ (+ (* -1 x) (* -1 (/ x y))) y))> |
#<alt (* -1 (/ (+ (* -1 x) (* -1 (/ (+ x (/ x y)) y))) y))> |
#<alt (* -1 (/ (+ (* -1 x) (* -1 (/ (+ x (* -1 (/ (+ (* -1 x) (* -1 (/ x y))) y))) y))) y))> |
#<alt -1> |
#<alt (- y 1)> |
#<alt (- y 1)> |
#<alt (- y 1)> |
#<alt y> |
#<alt (* y (- 1 (/ 1 y)))> |
#<alt (* y (- 1 (/ 1 y)))> |
#<alt (* y (- 1 (/ 1 y)))> |
#<alt y> |
#<alt (* -1 (* y (- (/ 1 y) 1)))> |
#<alt (* -1 (* y (- (/ 1 y) 1)))> |
#<alt (* -1 (* y (- (/ 1 y) 1)))> |
#<alt (- 1 y)> |
#<alt (- (+ 1 x) y)> |
#<alt (- (+ 1 x) y)> |
#<alt (- (+ 1 x) y)> |
#<alt x> |
#<alt (* x (- (+ 1 (/ 1 x)) (/ y x)))> |
#<alt (* x (- (+ 1 (/ 1 x)) (/ y x)))> |
#<alt (* x (- (+ 1 (/ 1 x)) (/ y x)))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (- 1 y) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (- 1 y) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (- 1 y) x)) 1)))> |
#<alt (+ 1 x)> |
#<alt (+ 1 (+ x (* -1 y)))> |
#<alt (+ 1 (+ x (* -1 y)))> |
#<alt (+ 1 (+ x (* -1 y)))> |
#<alt (* -1 y)> |
#<alt (* y (- (+ (/ 1 y) (/ x y)) 1))> |
#<alt (* y (- (+ (/ 1 y) (/ x y)) 1))> |
#<alt (* y (- (+ (/ 1 y) (/ x y)) 1))> |
#<alt (* -1 y)> |
#<alt (* -1 (* y (+ 1 (* -1 (/ (+ 1 x) y)))))> |
#<alt (* -1 (* y (+ 1 (* -1 (/ (+ 1 x) y)))))> |
#<alt (* -1 (* y (+ 1 (* -1 (/ (+ 1 x) y)))))> |
#<alt (* -1 y)> |
#<alt (- x y)> |
#<alt (- x y)> |
#<alt (- x y)> |
#<alt x> |
#<alt (* x (+ 1 (* -1 (/ y x))))> |
#<alt (* x (+ 1 (* -1 (/ y x))))> |
#<alt (* x (+ 1 (* -1 (/ y x))))> |
#<alt x> |
#<alt (* -1 (* x (- (/ y x) 1)))> |
#<alt (* -1 (* x (- (/ y x) 1)))> |
#<alt (* -1 (* x (- (/ y x) 1)))> |
#<alt x> |
#<alt (+ x (* -1 y))> |
#<alt (+ x (* -1 y))> |
#<alt (+ x (* -1 y))> |
#<alt (* -1 y)> |
#<alt (* y (- (/ x y) 1))> |
#<alt (* y (- (/ x y) 1))> |
#<alt (* y (- (/ x y) 1))> |
#<alt (* -1 y)> |
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))> |
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))> |
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))> |
#<alt (+ 1 x)> |
#<alt (+ 1 (+ x (* -1 y)))> |
#<alt (+ 1 (+ x (* y (- (* -1/2 y) 1))))> |
#<alt (+ 1 (+ x (* y (- (* -1/2 y) 1))))> |
#<alt (* -1/2 (pow y 2))> |
#<alt (* -1 (* (pow y 2) (+ 1/2 (/ 1 y))))> |
#<alt (* (pow y 2) (- (+ (/ 1 (pow y 2)) (/ x (pow y 2))) (+ 1/2 (/ 1 y))))> |
#<alt (* (pow y 2) (- (+ (/ 1 (pow y 2)) (/ x (pow y 2))) (+ 1/2 (/ 1 y))))> |
#<alt (* -1/2 (pow y 2))> |
#<alt (* -1 (* (pow y 2) (+ 1/2 (/ 1 y))))> |
#<alt (* (pow y 2) (- (* -1 (/ (+ 1 (* -1 (/ (+ 1 x) y))) y)) 1/2))> |
#<alt (* (pow y 2) (- (* -1 (/ (+ 1 (* -1 (/ (+ 1 x) y))) y)) 1/2))> |
#<alt (+ 1 (* y (- (* -1/2 y) 1)))> |
#<alt (+ 1 (+ x (* y (- (* -1/2 y) 1))))> |
#<alt (+ 1 (+ x (* y (- (* -1/2 y) 1))))> |
#<alt (+ 1 (+ x (* y (- (* -1/2 y) 1))))> |
#<alt x> |
#<alt (* x (+ 1 (+ (/ 1 x) (/ (* y (- (* -1/2 y) 1)) x))))> |
#<alt (* x (+ 1 (+ (/ 1 x) (/ (* y (- (* -1/2 y) 1)) x))))> |
#<alt (* x (+ 1 (+ (/ 1 x) (/ (* y (- (* -1/2 y) 1)) x))))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* -1/2 y) 1))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* -1/2 y) 1))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* -1/2 y) 1))) x)) 1)))> |
#<alt x> |
#<alt (+ x (* -1 y))> |
#<alt (+ x (* y (- (* -1/2 y) 1)))> |
#<alt (+ x (* y (- (* -1/2 y) 1)))> |
#<alt (* -1/2 (pow y 2))> |
#<alt (* -1 (* (pow y 2) (+ 1/2 (/ 1 y))))> |
#<alt (* (pow y 2) (- (/ x (pow y 2)) (+ 1/2 (/ 1 y))))> |
#<alt (* (pow y 2) (- (/ x (pow y 2)) (+ 1/2 (/ 1 y))))> |
#<alt (* -1/2 (pow y 2))> |
#<alt (* -1 (* (pow y 2) (+ 1/2 (/ 1 y))))> |
#<alt (* (pow y 2) (- (* -1 (/ (+ 1 (* -1 (/ x y))) y)) 1/2))> |
#<alt (* (pow y 2) (- (* -1 (/ (+ 1 (* -1 (/ x y))) y)) 1/2))> |
#<alt (* y (- (* -1/2 y) 1))> |
#<alt (+ x (* y (- (* -1/2 y) 1)))> |
#<alt (+ x (* y (- (* -1/2 y) 1)))> |
#<alt (+ x (* y (- (* -1/2 y) 1)))> |
#<alt x> |
#<alt (* x (+ 1 (/ (* y (- (* -1/2 y) 1)) x)))> |
#<alt (* x (+ 1 (/ (* y (- (* -1/2 y) 1)) x)))> |
#<alt (* x (+ 1 (/ (* y (- (* -1/2 y) 1)) x)))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (* y (- (* -1/2 y) 1)) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (* y (- (* -1/2 y) 1)) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (* y (- (* -1/2 y) 1)) x)) 1)))> |
#<alt -1> |
#<alt (- (* -1/2 y) 1)> |
#<alt (- (* -1/2 y) 1)> |
#<alt (- (* -1/2 y) 1)> |
#<alt (* -1/2 y)> |
#<alt (* -1 (* y (+ 1/2 (/ 1 y))))> |
#<alt (* -1 (* y (+ 1/2 (/ 1 y))))> |
#<alt (* -1 (* y (+ 1/2 (/ 1 y))))> |
#<alt (* -1/2 y)> |
#<alt (* -1 (* y (+ 1/2 (/ 1 y))))> |
#<alt (* -1 (* y (+ 1/2 (/ 1 y))))> |
#<alt (* -1 (* y (+ 1/2 (/ 1 y))))> |
#<alt (+ 1 (log (neg y)))> |
#<alt (+ 1 (+ x (log (neg y))))> |
#<alt (+ 1 (+ x (log (neg y))))> |
#<alt (+ 1 (+ x (log (neg y))))> |
#<alt x> |
#<alt (* x (+ 1 (+ (/ 1 x) (/ (log (neg y)) x))))> |
#<alt (* x (+ 1 (+ (/ 1 x) (/ (log (neg y)) x))))> |
#<alt (* x (+ 1 (+ (/ 1 x) (/ (log (neg y)) x))))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (+ 1 (log (neg y))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (+ 1 (log (neg y))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (+ 1 (log (neg y))) x)) 1)))> |
#<alt (+ 1 (+ x (+ (log -1) (log y))))> |
#<alt (+ 1 (+ x (+ (log -1) (log y))))> |
#<alt (+ 1 (+ x (+ (log -1) (log y))))> |
#<alt (+ 1 (+ x (+ (log -1) (log y))))> |
#<alt (+ 1 (+ x (+ (log -1) (* -1 (log (/ 1 y))))))> |
#<alt (+ 1 (+ x (+ (log -1) (* -1 (log (/ 1 y))))))> |
#<alt (+ 1 (+ x (+ (log -1) (* -1 (log (/ 1 y))))))> |
#<alt (+ 1 (+ x (+ (log -1) (* -1 (log (/ 1 y))))))> |
#<alt (+ 1 (+ x (* -1 (log (/ -1 y)))))> |
#<alt (+ 1 (+ x (* -1 (log (/ -1 y)))))> |
#<alt (+ 1 (+ x (* -1 (log (/ -1 y)))))> |
#<alt (+ 1 (+ x (* -1 (log (/ -1 y)))))> |
#<alt 1> |
#<alt (+ 1 x)> |
#<alt (+ 1 x)> |
#<alt (+ 1 x)> |
#<alt x> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt x> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* -1 (+ (log -1) (log y)))> |
#<alt (* -1 (+ (log -1) (log y)))> |
#<alt (* -1 (+ (log -1) (log y)))> |
#<alt (* -1 (+ (log -1) (log y)))> |
#<alt (* -1 (+ (log -1) (* -1 (log (/ 1 y)))))> |
#<alt (* -1 (+ (log -1) (* -1 (log (/ 1 y)))))> |
#<alt (* -1 (+ (log -1) (* -1 (log (/ 1 y)))))> |
#<alt (* -1 (+ (log -1) (* -1 (log (/ 1 y)))))> |
#<alt (log (/ -1 y))> |
#<alt (log (/ -1 y))> |
#<alt (log (/ -1 y))> |
#<alt (log (/ -1 y))> |
#<alt (+ (log -1) (log y))> |
#<alt (+ (log -1) (log y))> |
#<alt (+ (log -1) (log y))> |
#<alt (+ (log -1) (log y))> |
#<alt (+ (log -1) (* -1 (log (/ 1 y))))> |
#<alt (+ (log -1) (* -1 (log (/ 1 y))))> |
#<alt (+ (log -1) (* -1 (log (/ 1 y))))> |
#<alt (+ (log -1) (* -1 (log (/ 1 y))))> |
#<alt (* -1 (log (/ -1 y)))> |
#<alt (* -1 (log (/ -1 y)))> |
#<alt (* -1 (log (/ -1 y)))> |
#<alt (* -1 (log (/ -1 y)))> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
66 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 53.0ms | y | @ | 0 | (- (+ 1 x) (neg (log (neg y)))) |
| 28.0ms | y | @ | inf | (- (+ 1 x) (neg (log (neg y)))) |
| 12.0ms | y | @ | -inf | (- (+ 1 x) (neg (log (neg y)))) |
| 3.0ms | x | @ | 0 | (- (+ 1 x) (neg (log (neg y)))) |
| 2.0ms | y | @ | 0 | (- 1 (log (+ 1 (/ x (+ y -1))))) |
| 1× | batch-egg-rewrite |
| 4 938× | lower-*.f64 |
| 4 938× | lower-*.f32 |
| 4 552× | lower-/.f32 |
| 4 550× | lower-/.f64 |
| 4 056× | lower-fma.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 70 |
| 0 | 36 | 70 |
| 1 | 179 | 69 |
| 2 | 1617 | 69 |
| 0 | 9105 | 69 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))))) |
(log1p.f64 (/.f64 x (+.f64 y #s(literal -1 binary64)))) |
(/.f64 x (+.f64 y #s(literal -1 binary64))) |
(+.f64 y #s(literal -1 binary64)) |
(+.f64 #s(literal 1 binary64) (-.f64 x y)) |
(-.f64 x y) |
(+.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) x)) |
(fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) x) |
(fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) |
(-.f64 (+.f64 #s(literal 1 binary64) x) (neg.f64 (log.f64 (neg.f64 y)))) |
(+.f64 #s(literal 1 binary64) x) |
(neg.f64 (log.f64 (neg.f64 y))) |
(log.f64 (neg.f64 y)) |
(neg.f64 y) |
| Outputs |
|---|
(+.f64 #s(literal 1 binary64) (neg.f64 (log1p.f64 (/.f64 x (+.f64 y #s(literal -1 binary64)))))) |
(+.f64 (neg.f64 (log1p.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))))) #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (log1p.f64 (/.f64 x (+.f64 y #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))))) #s(literal 1 binary64))) (/.f64 (pow.f64 (log1p.f64 (/.f64 x (+.f64 y #s(literal -1 binary64)))) #s(literal 3 binary64)) (fma.f64 (log1p.f64 (/.f64 x (+.f64 y #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))))) #s(literal 1 binary64)))) |
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(/.f64 (-.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log.f64 (neg.f64 y)) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (log.f64 (neg.f64 y)))))) (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (neg.f64 y)) #s(literal 3 binary64))))) (*.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log.f64 (neg.f64 y)) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (log.f64 (neg.f64 y))))))) |
(/.f64 (-.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (+.f64 #s(literal 0 binary64) (log.f64 (neg.f64 y)))) (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (neg.f64 y)) #s(literal 2 binary64))))) (*.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 0 binary64) (log.f64 (neg.f64 y))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) (fma.f64 (neg.f64 (log.f64 (neg.f64 y))) (-.f64 (+.f64 #s(literal 1 binary64) x) (log.f64 (neg.f64 y))) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) (*.f64 (fma.f64 (neg.f64 (log.f64 (neg.f64 y))) (-.f64 (+.f64 #s(literal 1 binary64) x) (log.f64 (neg.f64 y))) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) (neg.f64 (pow.f64 (log.f64 (neg.f64 y)) #s(literal 3 binary64))))) (*.f64 (fma.f64 (neg.f64 (log.f64 (neg.f64 y))) (-.f64 (+.f64 #s(literal 1 binary64) x) (log.f64 (neg.f64 y))) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) (fma.f64 (neg.f64 (log.f64 (neg.f64 y))) (-.f64 (+.f64 #s(literal 1 binary64) x) (log.f64 (neg.f64 y))) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 #s(literal 1 binary64) x) (log.f64 (neg.f64 y)))) (*.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) (log.f64 (neg.f64 y))) (pow.f64 (log.f64 (neg.f64 y)) #s(literal 2 binary64)))) (*.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) (log.f64 (neg.f64 y))) (-.f64 (+.f64 #s(literal 1 binary64) x) (log.f64 (neg.f64 y))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (pow.f64 (log.f64 (neg.f64 y)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (neg.f64 (log.f64 (neg.f64 y))) (-.f64 (+.f64 #s(literal 1 binary64) x) (log.f64 (neg.f64 y))) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (pow.f64 (log.f64 (neg.f64 y)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) (log.f64 (neg.f64 y)))))) |
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x (log.f64 (neg.f64 y))) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 x (log.f64 (neg.f64 y))) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (+.f64 x (log.f64 (neg.f64 y)))))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x (log.f64 (neg.f64 y))) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (+.f64 x (log.f64 (neg.f64 y)))))) |
(/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 (neg.f64 y))) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (log.f64 (neg.f64 y))) (+.f64 #s(literal 1 binary64) (log.f64 (neg.f64 y)))) (*.f64 x (+.f64 #s(literal 1 binary64) (log.f64 (neg.f64 y))))))) |
(/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (neg.f64 y)))) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (neg.f64 y)))) (-.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (neg.f64 y))))) (*.f64 x (-.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (neg.f64 y)))))))) |
(/.f64 (+.f64 (pow.f64 (log.f64 (neg.f64 y)) #s(literal 3 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) (+.f64 (pow.f64 (log.f64 (neg.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (*.f64 (log.f64 (neg.f64 y)) (+.f64 #s(literal 1 binary64) x))))) |
(/.f64 (+.f64 (pow.f64 (+.f64 x (log.f64 (neg.f64 y))) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (+.f64 x (log.f64 (neg.f64 y))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 x (log.f64 (neg.f64 y))) #s(literal 1 binary64))))) |
(/.f64 (+.f64 (pow.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 (neg.f64 y)) #s(literal 3 binary64))) (fma.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) (-.f64 (pow.f64 (log.f64 (neg.f64 y)) #s(literal 2 binary64)) (*.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) (log.f64 (neg.f64 y)))))) |
(pow.f64 (/.f64 (fma.f64 (neg.f64 (log.f64 (neg.f64 y))) (-.f64 (+.f64 #s(literal 1 binary64) x) (log.f64 (neg.f64 y))) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) (fma.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (pow.f64 (log.f64 (neg.f64 y)) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) (log.f64 (neg.f64 y))) (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (pow.f64 (log.f64 (neg.f64 y)) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (pow.f64 (log.f64 (neg.f64 y)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 (log.f64 (neg.f64 y))) (-.f64 (+.f64 #s(literal 1 binary64) x) (log.f64 (neg.f64 y))) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) |
(*.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (pow.f64 (log.f64 (neg.f64 y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) x) (log.f64 (neg.f64 y))))) |
(+.f64 #s(literal 1 binary64) x) |
(+.f64 x #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
(fma.f64 #s(literal 1 binary64) x #s(literal 1 binary64)) |
(fma.f64 x #s(literal 1 binary64) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) |
(/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (neg.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))) (neg.f64 (-.f64 x #s(literal 1 binary64)))) |
(pow.f64 (/.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) |
(log.f64 (/.f64 #s(literal -1 binary64) y)) |
(log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)))) |
(+.f64 #s(literal 0 binary64) (neg.f64 (log.f64 (neg.f64 y)))) |
(-.f64 #s(literal 0 binary64) (log.f64 (neg.f64 y))) |
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (neg.f64 y) #s(literal 1 binary64)))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 y)) |
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (neg.f64 y)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log.f64 (neg.f64 y)) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (log.f64 (neg.f64 y)))))) (/.f64 (pow.f64 (log.f64 (neg.f64 y)) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log.f64 (neg.f64 y)) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (log.f64 (neg.f64 y))))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (log.f64 (neg.f64 y)))) (/.f64 (pow.f64 (log.f64 (neg.f64 y)) #s(literal 2 binary64)) (+.f64 #s(literal 0 binary64) (log.f64 (neg.f64 y))))) |
(neg.f64 (log.f64 (neg.f64 y))) |
(neg.f64 (log.f64 (/.f64 (neg.f64 y) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (neg.f64 y)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log.f64 (neg.f64 y)) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (log.f64 (neg.f64 y)))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (neg.f64 y)) #s(literal 2 binary64))) (+.f64 #s(literal 0 binary64) (log.f64 (neg.f64 y)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (neg.f64 y)) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log.f64 (neg.f64 y)) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (log.f64 (neg.f64 y))))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (neg.f64 y)) #s(literal 2 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (log.f64 (neg.f64 y))))) |
(/.f64 (+.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 (log.f64 (neg.f64 y)) #s(literal 3 binary64)))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (log.f64 (neg.f64 y)) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (neg.f64 (log.f64 (neg.f64 y))))))) |
(*.f64 #s(literal -1 binary64) (log.f64 (neg.f64 y))) |
(*.f64 (log.f64 (neg.f64 y)) #s(literal -1 binary64)) |
(log.f64 (neg.f64 y)) |
(log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y))) |
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 y)) |
(+.f64 (log.f64 y) (log.f64 #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (log.f64 (neg.f64 y)))) |
(-.f64 (log.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y)))) (log.f64 (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))))) |
(-.f64 (log.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y))) (log.f64 (+.f64 #s(literal 0 binary64) y))) |
(neg.f64 (neg.f64 (log.f64 (neg.f64 y)))) |
(/.f64 (+.f64 (pow.f64 (log.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 y) #s(literal 3 binary64))) (fma.f64 (log.f64 #s(literal -1 binary64)) (log.f64 #s(literal -1 binary64)) (-.f64 (*.f64 (log.f64 y) (log.f64 y)) (*.f64 (log.f64 #s(literal -1 binary64)) (log.f64 y))))) |
(*.f64 #s(literal 1 binary64) (log.f64 (neg.f64 y))) |
(*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 (neg.f64 y)))) |
(+.f64 #s(literal 0 binary64) (neg.f64 y)) |
(-.f64 #s(literal 0 binary64) y) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y)))) (/.f64 (*.f64 y (*.f64 y y)) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) y)) (/.f64 (*.f64 y y) (+.f64 #s(literal 0 binary64) y))) |
(neg.f64 y) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y)) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y)))) (neg.f64 (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y))) (neg.f64 (+.f64 #s(literal 0 binary64) y))) |
(/.f64 (+.f64 #s(literal 0 binary64) (neg.f64 (*.f64 y (*.f64 y y)))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 y y) (*.f64 #s(literal 0 binary64) (neg.f64 y))))) |
(*.f64 y #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) y) |
| 1× | egg-herbie |
| 12 408× | lower-fma.f64 |
| 12 408× | lower-fma.f32 |
| 5 460× | lower-+.f64 |
| 5 460× | lower-+.f32 |
| 4 754× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 427 | 2690 |
| 1 | 1276 | 2490 |
| 2 | 3842 | 2372 |
| 0 | 8621 | 2207 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
(+ 1 (* -1 (/ x (- y 1)))) |
(+ 1 (* x (- (* 1/2 (/ x (pow (- y 1) 2))) (/ 1 (- y 1))))) |
(+ 1 (* x (- (* x (+ (* -1/3 (/ x (pow (- y 1) 3))) (* 1/2 (/ 1 (pow (- y 1) 2))))) (/ 1 (- y 1))))) |
(- 1 (+ (log (/ 1 (- y 1))) (* -1 (log (/ 1 x))))) |
(- (+ 1 (/ 1 x)) (+ (log (/ 1 (- y 1))) (+ (* -1 (log (/ 1 x))) (/ y x)))) |
(- (+ 1 (+ (* 1/2 (/ (pow (- y 1) 2) (pow x 2))) (/ 1 x))) (+ (log (/ 1 (- y 1))) (+ (* -1 (log (/ 1 x))) (/ y x)))) |
(- (+ 1 (+ (* -1/3 (/ (pow (- y 1) 3) (pow x 3))) (/ 1 x))) (+ (log (/ 1 (- y 1))) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow (- y 1) 2) (pow x 2))) (/ y x))))) |
(- 1 (+ (log (neg (/ 1 (- y 1)))) (* -1 (log (/ -1 x))))) |
(- (+ 1 (* -1 (/ (- y 1) x))) (+ (log (neg (/ 1 (- y 1)))) (* -1 (log (/ -1 x))))) |
(- (+ 1 (* -1 (/ (- (* -1/2 (/ (pow (- y 1) 2) x)) (* -1 (- y 1))) x))) (+ (log (neg (/ 1 (- y 1)))) (* -1 (log (/ -1 x))))) |
(- (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1/3 (/ (pow (- y 1) 3) x)) (* -1/2 (pow (- y 1) 2))) x)) (* -1 (- y 1))) x))) (+ (log (neg (/ 1 (- y 1)))) (* -1 (log (/ -1 x))))) |
(- 1 (log (+ 1 (* -1 x)))) |
(- (+ 1 (/ (* x y) (+ 1 (* -1 x)))) (log (+ 1 (* -1 x)))) |
(- (+ 1 (* y (- (* -1/2 (* y (+ (* -2 (/ x (+ 1 (* -1 x)))) (* -1 (/ (pow x 2) (pow (+ 1 (* -1 x)) 2)))))) (* -1 (/ x (+ 1 (* -1 x))))))) (log (+ 1 (* -1 x)))) |
(- (+ 1 (* y (- (* y (- (* -1/6 (* y (+ (* -6 (/ x (+ 1 (* -1 x)))) (+ (* -6 (/ (pow x 2) (pow (+ 1 (* -1 x)) 2))) (* -2 (/ (pow x 3) (pow (+ 1 (* -1 x)) 3))))))) (* 1/2 (+ (* -2 (/ x (+ 1 (* -1 x)))) (* -1 (/ (pow x 2) (pow (+ 1 (* -1 x)) 2))))))) (* -1 (/ x (+ 1 (* -1 x))))))) (log (+ 1 (* -1 x)))) |
1 |
(+ 1 (* -1 (/ x y))) |
(- (+ 1 (* -1/2 (/ (+ (* -1 (pow x 2)) (* 2 x)) (pow y 2)))) (/ x y)) |
(- (+ 1 (* -1/6 (/ (+ (* -6 (pow x 2)) (+ (* 2 (pow x 3)) (* 6 x))) (pow y 3)))) (+ (* 1/2 (/ (+ (* -1 (pow x 2)) (* 2 x)) (pow y 2))) (/ x y))) |
1 |
(+ 1 (* -1 (/ x y))) |
(+ 1 (* -1 (/ (- (* 1/2 (/ (+ (* -1 (pow x 2)) (* 2 x)) y)) (* -1 x)) y))) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (* 1/6 (/ (+ (* -6 x) (+ (* -2 (pow x 3)) (* 6 (pow x 2)))) y)) (* 1/2 (+ (* -1 (pow x 2)) (* 2 x)))) y)) (* -1 x)) y))) |
(/ x (- y 1)) |
(* x (+ (* -1/2 (/ x (pow (- y 1) 2))) (/ 1 (- y 1)))) |
(* x (+ (* x (- (* 1/3 (/ x (pow (- y 1) 3))) (* 1/2 (/ 1 (pow (- y 1) 2))))) (/ 1 (- y 1)))) |
(* x (+ (* x (- (* x (+ (* -1/4 (/ x (pow (- y 1) 4))) (* 1/3 (/ 1 (pow (- y 1) 3))))) (* 1/2 (/ 1 (pow (- y 1) 2))))) (/ 1 (- y 1)))) |
(+ (log (/ 1 (- y 1))) (* -1 (log (/ 1 x)))) |
(- (+ (log (/ 1 (- y 1))) (+ (* -1 (log (/ 1 x))) (/ y x))) (/ 1 x)) |
(- (+ (log (/ 1 (- y 1))) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow (- y 1) 2) (pow x 2))) (/ y x)))) (/ 1 x)) |
(- (+ (log (/ 1 (- y 1))) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow (- y 1) 2) (pow x 2))) (+ (* 1/3 (/ (pow (- y 1) 3) (pow x 3))) (/ y x))))) (/ 1 x)) |
(+ (log (neg (/ 1 (- y 1)))) (* -1 (log (/ -1 x)))) |
(- (+ (log (neg (/ 1 (- y 1)))) (+ (* -1 (log (/ -1 x))) (/ y x))) (/ 1 x)) |
(+ (log (neg (/ 1 (- y 1)))) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 (- y 1)) (* 1/2 (/ (pow (- y 1) 2) x))) x)))) |
(+ (log (neg (/ 1 (- y 1)))) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 (- y 1)) (* -1 (/ (+ (* -1/2 (pow (- y 1) 2)) (* 1/3 (/ (pow (- y 1) 3) x))) x))) x)))) |
(log (+ 1 (* -1 x))) |
(+ (log (+ 1 (* -1 x))) (* -1 (/ (* x y) (+ 1 (* -1 x))))) |
(+ (log (+ 1 (* -1 x))) (* y (+ (* -1 (/ x (+ 1 (* -1 x)))) (* 1/2 (* y (+ (* -2 (/ x (+ 1 (* -1 x)))) (* -1 (/ (pow x 2) (pow (+ 1 (* -1 x)) 2))))))))) |
(+ (log (+ 1 (* -1 x))) (* y (+ (* -1 (/ x (+ 1 (* -1 x)))) (* y (+ (* 1/6 (* y (+ (* -6 (/ x (+ 1 (* -1 x)))) (+ (* -6 (/ (pow x 2) (pow (+ 1 (* -1 x)) 2))) (* -2 (/ (pow x 3) (pow (+ 1 (* -1 x)) 3))))))) (* 1/2 (+ (* -2 (/ x (+ 1 (* -1 x)))) (* -1 (/ (pow x 2) (pow (+ 1 (* -1 x)) 2)))))))))) |
(/ x y) |
(/ (+ x (* 1/2 (/ (+ (* -1 (pow x 2)) (* 2 x)) y))) y) |
(/ (+ x (+ (* 1/6 (/ (+ (* -6 (pow x 2)) (+ (* 2 (pow x 3)) (* 6 x))) (pow y 2))) (* 1/2 (/ (+ (* -1 (pow x 2)) (* 2 x)) y)))) y) |
(/ (+ x (+ (* 1/24 (/ (+ (* -24 (pow x 2)) (+ (* -12 (pow x 2)) (+ (* -6 (pow x 4)) (+ (* 24 x) (* 24 (pow x 3)))))) (pow y 3))) (+ (* 1/6 (/ (+ (* -6 (pow x 2)) (+ (* 2 (pow x 3)) (* 6 x))) (pow y 2))) (* 1/2 (/ (+ (* -1 (pow x 2)) (* 2 x)) y))))) y) |
(/ x y) |
(* -1 (/ (+ (* -1 x) (* -1/2 (/ (+ (* -1 (pow x 2)) (* 2 x)) y))) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1/6 (/ (+ (* -6 x) (+ (* -2 (pow x 3)) (* 6 (pow x 2)))) y)) (* 1/2 (+ (* -1 (pow x 2)) (* 2 x)))) y))) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (/ (+ (* -24 (pow x 2)) (+ (* -12 (pow x 2)) (+ (* -6 (pow x 4)) (+ (* 24 x) (* 24 (pow x 3)))))) y)) (* 1/6 (+ (* -6 x) (+ (* -2 (pow x 3)) (* 6 (pow x 2)))))) y)) (* 1/2 (+ (* -1 (pow x 2)) (* 2 x)))) y))) y)) |
(/ x (- y 1)) |
(/ x (- y 1)) |
(/ x (- y 1)) |
(/ x (- y 1)) |
(/ x (- y 1)) |
(/ x (- y 1)) |
(/ x (- y 1)) |
(/ x (- y 1)) |
(/ x (- y 1)) |
(/ x (- y 1)) |
(/ x (- y 1)) |
(/ x (- y 1)) |
(* -1 x) |
(+ (* -1 x) (* -1 (* x y))) |
(+ (* -1 x) (* y (- (* -1 (* x y)) x))) |
(+ (* -1 x) (* y (- (* y (- (* -1 (* x y)) x)) x))) |
(/ x y) |
(/ (+ x (/ x y)) y) |
(/ (- (+ x (/ x (pow y 2))) (* -1 (/ x y))) y) |
(/ (- (+ x (/ x (pow y 3))) (+ (* -1 (/ x y)) (* -1 (/ x (pow y 2))))) y) |
(/ x y) |
(* -1 (/ (+ (* -1 x) (* -1 (/ x y))) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ x (/ x y)) y))) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ x (* -1 (/ (+ (* -1 x) (* -1 (/ x y))) y))) y))) y)) |
-1 |
(- y 1) |
(- y 1) |
(- y 1) |
y |
(* y (- 1 (/ 1 y))) |
(* y (- 1 (/ 1 y))) |
(* y (- 1 (/ 1 y))) |
y |
(* -1 (* y (- (/ 1 y) 1))) |
(* -1 (* y (- (/ 1 y) 1))) |
(* -1 (* y (- (/ 1 y) 1))) |
(- 1 y) |
(- (+ 1 x) y) |
(- (+ 1 x) y) |
(- (+ 1 x) y) |
x |
(* x (- (+ 1 (/ 1 x)) (/ y x))) |
(* x (- (+ 1 (/ 1 x)) (/ y x))) |
(* x (- (+ 1 (/ 1 x)) (/ y x))) |
x |
(* -1 (* x (- (* -1 (/ (- 1 y) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- 1 y) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- 1 y) x)) 1))) |
(+ 1 x) |
(+ 1 (+ x (* -1 y))) |
(+ 1 (+ x (* -1 y))) |
(+ 1 (+ x (* -1 y))) |
(* -1 y) |
(* y (- (+ (/ 1 y) (/ x y)) 1)) |
(* y (- (+ (/ 1 y) (/ x y)) 1)) |
(* y (- (+ (/ 1 y) (/ x y)) 1)) |
(* -1 y) |
(* -1 (* y (+ 1 (* -1 (/ (+ 1 x) y))))) |
(* -1 (* y (+ 1 (* -1 (/ (+ 1 x) y))))) |
(* -1 (* y (+ 1 (* -1 (/ (+ 1 x) y))))) |
(* -1 y) |
(- x y) |
(- x y) |
(- x y) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
(* x (+ 1 (* -1 (/ y x)))) |
(* x (+ 1 (* -1 (/ y x)))) |
x |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (- (/ y x) 1))) |
x |
(+ x (* -1 y)) |
(+ x (* -1 y)) |
(+ x (* -1 y)) |
(* -1 y) |
(* y (- (/ x y) 1)) |
(* y (- (/ x y) 1)) |
(* y (- (/ x y) 1)) |
(* -1 y) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(+ 1 x) |
(+ 1 (+ x (* -1 y))) |
(+ 1 (+ x (* y (- (* -1/2 y) 1)))) |
(+ 1 (+ x (* y (- (* -1/2 y) 1)))) |
(* -1/2 (pow y 2)) |
(* -1 (* (pow y 2) (+ 1/2 (/ 1 y)))) |
(* (pow y 2) (- (+ (/ 1 (pow y 2)) (/ x (pow y 2))) (+ 1/2 (/ 1 y)))) |
(* (pow y 2) (- (+ (/ 1 (pow y 2)) (/ x (pow y 2))) (+ 1/2 (/ 1 y)))) |
(* -1/2 (pow y 2)) |
(* -1 (* (pow y 2) (+ 1/2 (/ 1 y)))) |
(* (pow y 2) (- (* -1 (/ (+ 1 (* -1 (/ (+ 1 x) y))) y)) 1/2)) |
(* (pow y 2) (- (* -1 (/ (+ 1 (* -1 (/ (+ 1 x) y))) y)) 1/2)) |
(+ 1 (* y (- (* -1/2 y) 1))) |
(+ 1 (+ x (* y (- (* -1/2 y) 1)))) |
(+ 1 (+ x (* y (- (* -1/2 y) 1)))) |
(+ 1 (+ x (* y (- (* -1/2 y) 1)))) |
x |
(* x (+ 1 (+ (/ 1 x) (/ (* y (- (* -1/2 y) 1)) x)))) |
(* x (+ 1 (+ (/ 1 x) (/ (* y (- (* -1/2 y) 1)) x)))) |
(* x (+ 1 (+ (/ 1 x) (/ (* y (- (* -1/2 y) 1)) x)))) |
x |
(* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* -1/2 y) 1))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* -1/2 y) 1))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* -1/2 y) 1))) x)) 1))) |
x |
(+ x (* -1 y)) |
(+ x (* y (- (* -1/2 y) 1))) |
(+ x (* y (- (* -1/2 y) 1))) |
(* -1/2 (pow y 2)) |
(* -1 (* (pow y 2) (+ 1/2 (/ 1 y)))) |
(* (pow y 2) (- (/ x (pow y 2)) (+ 1/2 (/ 1 y)))) |
(* (pow y 2) (- (/ x (pow y 2)) (+ 1/2 (/ 1 y)))) |
(* -1/2 (pow y 2)) |
(* -1 (* (pow y 2) (+ 1/2 (/ 1 y)))) |
(* (pow y 2) (- (* -1 (/ (+ 1 (* -1 (/ x y))) y)) 1/2)) |
(* (pow y 2) (- (* -1 (/ (+ 1 (* -1 (/ x y))) y)) 1/2)) |
(* y (- (* -1/2 y) 1)) |
(+ x (* y (- (* -1/2 y) 1))) |
(+ x (* y (- (* -1/2 y) 1))) |
(+ x (* y (- (* -1/2 y) 1))) |
x |
(* x (+ 1 (/ (* y (- (* -1/2 y) 1)) x))) |
(* x (+ 1 (/ (* y (- (* -1/2 y) 1)) x))) |
(* x (+ 1 (/ (* y (- (* -1/2 y) 1)) x))) |
x |
(* -1 (* x (- (* -1 (/ (* y (- (* -1/2 y) 1)) x)) 1))) |
(* -1 (* x (- (* -1 (/ (* y (- (* -1/2 y) 1)) x)) 1))) |
(* -1 (* x (- (* -1 (/ (* y (- (* -1/2 y) 1)) x)) 1))) |
-1 |
(- (* -1/2 y) 1) |
(- (* -1/2 y) 1) |
(- (* -1/2 y) 1) |
(* -1/2 y) |
(* -1 (* y (+ 1/2 (/ 1 y)))) |
(* -1 (* y (+ 1/2 (/ 1 y)))) |
(* -1 (* y (+ 1/2 (/ 1 y)))) |
(* -1/2 y) |
(* -1 (* y (+ 1/2 (/ 1 y)))) |
(* -1 (* y (+ 1/2 (/ 1 y)))) |
(* -1 (* y (+ 1/2 (/ 1 y)))) |
(+ 1 (log (neg y))) |
(+ 1 (+ x (log (neg y)))) |
(+ 1 (+ x (log (neg y)))) |
(+ 1 (+ x (log (neg y)))) |
x |
(* x (+ 1 (+ (/ 1 x) (/ (log (neg y)) x)))) |
(* x (+ 1 (+ (/ 1 x) (/ (log (neg y)) x)))) |
(* x (+ 1 (+ (/ 1 x) (/ (log (neg y)) x)))) |
x |
(* -1 (* x (- (* -1 (/ (+ 1 (log (neg y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ 1 (log (neg y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ 1 (log (neg y))) x)) 1))) |
(+ 1 (+ x (+ (log -1) (log y)))) |
(+ 1 (+ x (+ (log -1) (log y)))) |
(+ 1 (+ x (+ (log -1) (log y)))) |
(+ 1 (+ x (+ (log -1) (log y)))) |
(+ 1 (+ x (+ (log -1) (* -1 (log (/ 1 y)))))) |
(+ 1 (+ x (+ (log -1) (* -1 (log (/ 1 y)))))) |
(+ 1 (+ x (+ (log -1) (* -1 (log (/ 1 y)))))) |
(+ 1 (+ x (+ (log -1) (* -1 (log (/ 1 y)))))) |
(+ 1 (+ x (* -1 (log (/ -1 y))))) |
(+ 1 (+ x (* -1 (log (/ -1 y))))) |
(+ 1 (+ x (* -1 (log (/ -1 y))))) |
(+ 1 (+ x (* -1 (log (/ -1 y))))) |
1 |
(+ 1 x) |
(+ 1 x) |
(+ 1 x) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* -1 (+ (log -1) (log y))) |
(* -1 (+ (log -1) (log y))) |
(* -1 (+ (log -1) (log y))) |
(* -1 (+ (log -1) (log 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 (/ -1 y)) |
(log (/ -1 y)) |
(log (/ -1 y)) |
(log (/ -1 y)) |
(+ (log -1) (log y)) |
(+ (log -1) (log y)) |
(+ (log -1) (log y)) |
(+ (log -1) (log y)) |
(+ (log -1) (* -1 (log (/ 1 y)))) |
(+ (log -1) (* -1 (log (/ 1 y)))) |
(+ (log -1) (* -1 (log (/ 1 y)))) |
(+ (log -1) (* -1 (log (/ 1 y)))) |
(* -1 (log (/ -1 y))) |
(* -1 (log (/ -1 y))) |
(* -1 (log (/ -1 y))) |
(* -1 (log (/ -1 y))) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
| Outputs |
|---|
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ x (- y 1)))) |
(+.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
(+ 1 (* x (- (* 1/2 (/ x (pow (- y 1) 2))) (/ 1 (- y 1))))) |
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 (+.f64 #s(literal -1 binary64) y) (+.f64 #s(literal -1 binary64) y))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) |
(+ 1 (* x (- (* x (+ (* -1/3 (/ x (pow (- y 1) 3))) (* 1/2 (/ 1 (pow (- y 1) 2))))) (/ 1 (- y 1))))) |
(fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/3 binary64) (/.f64 x (*.f64 (+.f64 #s(literal -1 binary64) y) (*.f64 (+.f64 #s(literal -1 binary64) y) (+.f64 #s(literal -1 binary64) y)))) (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal -1 binary64) y) (+.f64 #s(literal -1 binary64) y)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) |
(- 1 (+ (log (/ 1 (- y 1))) (* -1 (log (/ 1 x))))) |
(+.f64 (-.f64 #s(literal 1 binary64) (log.f64 x)) (log.f64 (+.f64 #s(literal -1 binary64) y))) |
(- (+ 1 (/ 1 x)) (+ (log (/ 1 (- y 1))) (+ (* -1 (log (/ 1 x))) (/ y x)))) |
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal -1 binary64) y))) (+.f64 (log.f64 x) (/.f64 y x))) |
(- (+ 1 (+ (* 1/2 (/ (pow (- y 1) 2) (pow x 2))) (/ 1 x))) (+ (log (/ 1 (- y 1))) (+ (* -1 (log (/ 1 x))) (/ y x)))) |
(+.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal -1 binary64) y))) (+.f64 (log.f64 x) (/.f64 y x))) (/.f64 (*.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (+.f64 #s(literal -1 binary64) y)) (*.f64 x x))) |
(- (+ 1 (+ (* -1/3 (/ (pow (- y 1) 3) (pow x 3))) (/ 1 x))) (+ (log (/ 1 (- y 1))) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow (- y 1) 2) (pow x 2))) (/ y x))))) |
(+.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) y) (*.f64 (+.f64 #s(literal -1 binary64) y) (+.f64 #s(literal -1 binary64) y))) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) x))) (+.f64 (-.f64 (log.f64 (+.f64 #s(literal -1 binary64) y)) (+.f64 (log.f64 x) (/.f64 y x))) (/.f64 (*.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (+.f64 #s(literal -1 binary64) y)) (*.f64 x x)))) |
(- 1 (+ (log (neg (/ 1 (- y 1)))) (* -1 (log (/ -1 x))))) |
(+.f64 #s(literal 1 binary64) (+.f64 (neg.f64 (log.f64 (neg.f64 x))) (log1p.f64 (neg.f64 y)))) |
(- (+ 1 (* -1 (/ (- y 1) x))) (+ (log (neg (/ 1 (- y 1)))) (* -1 (log (/ -1 x))))) |
(+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) y) x)) (log1p.f64 (neg.f64 y))) (neg.f64 (log.f64 (neg.f64 x)))) |
(- (+ 1 (* -1 (/ (- (* -1/2 (/ (pow (- y 1) 2) x)) (* -1 (- y 1))) x))) (+ (log (neg (/ 1 (- y 1)))) (* -1 (log (/ -1 x))))) |
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 (*.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (+.f64 #s(literal -1 binary64) y)) x)) x)) (+.f64 (neg.f64 (log.f64 (neg.f64 x))) (log1p.f64 (neg.f64 y)))) |
(- (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1/3 (/ (pow (- y 1) 3) x)) (* -1/2 (pow (- y 1) 2))) x)) (* -1 (- y 1))) x))) (+ (log (neg (/ 1 (- y 1)))) (* -1 (log (/ -1 x))))) |
(+.f64 (+.f64 #s(literal 1 binary64) (+.f64 (neg.f64 (log.f64 (neg.f64 x))) (log1p.f64 (neg.f64 y)))) (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 (fma.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (+.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 (fma.f64 y #s(literal -1/3 binary64) #s(literal 1/3 binary64)) (*.f64 (+.f64 #s(literal -1 binary64) y) (+.f64 #s(literal -1 binary64) y))) x)) x)) x)) |
(- 1 (log (+ 1 (* -1 x)))) |
(-.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x))) |
(- (+ 1 (/ (* x y) (+ 1 (* -1 x)))) (log (+ 1 (* -1 x)))) |
(-.f64 (fma.f64 x (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (log1p.f64 (neg.f64 x))) |
(- (+ 1 (* y (- (* -1/2 (* y (+ (* -2 (/ x (+ 1 (* -1 x)))) (* -1 (/ (pow x 2) (pow (+ 1 (* -1 x)) 2)))))) (* -1 (/ x (+ 1 (* -1 x))))))) (log (+ 1 (* -1 x)))) |
(fma.f64 y (fma.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal -2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x)))) (*.f64 y #s(literal -1/2 binary64)) (/.f64 x (-.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x)))) |
(- (+ 1 (* y (- (* y (- (* -1/6 (* y (+ (* -6 (/ x (+ 1 (* -1 x)))) (+ (* -6 (/ (pow x 2) (pow (+ 1 (* -1 x)) 2))) (* -2 (/ (pow x 3) (pow (+ 1 (* -1 x)) 3))))))) (* 1/2 (+ (* -2 (/ x (+ 1 (* -1 x)))) (* -1 (/ (pow x 2) (pow (+ 1 (* -1 x)) 2))))))) (* -1 (/ x (+ 1 (* -1 x))))))) (log (+ 1 (* -1 x)))) |
(fma.f64 y (fma.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y (fma.f64 (/.f64 #s(literal -6 binary64) (-.f64 #s(literal 1 binary64) x)) (+.f64 x (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x))) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -2 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))))) (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal -2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x)))))) (/.f64 x (-.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x)))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ x y))) |
(-.f64 #s(literal 1 binary64) (/.f64 x y)) |
(- (+ 1 (* -1/2 (/ (+ (* -1 (pow x 2)) (* 2 x)) (pow y 2)))) (/ x y)) |
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) x) y)) y)) |
(- (+ 1 (* -1/6 (/ (+ (* -6 (pow x 2)) (+ (* 2 (pow x 3)) (* 6 x))) (pow y 3)))) (+ (* 1/2 (/ (+ (* -1 (pow x 2)) (* 2 x)) (pow y 2))) (/ x y))) |
(-.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 2 binary64) #s(literal -6 binary64)) (*.f64 x #s(literal 6 binary64))) (*.f64 y (*.f64 y y))) #s(literal 1 binary64)) (/.f64 (+.f64 x (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) x) y)) y)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ x y))) |
(-.f64 #s(literal 1 binary64) (/.f64 x y)) |
(+ 1 (* -1 (/ (- (* 1/2 (/ (+ (* -1 (pow x 2)) (* 2 x)) y)) (* -1 x)) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) x) y)) y)) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (* 1/6 (/ (+ (* -6 x) (+ (* -2 (pow x 3)) (* 6 (pow x 2)))) y)) (* 1/2 (+ (* -1 (pow x 2)) (* 2 x)))) y)) (* -1 x)) y))) |
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 6 binary64))) (neg.f64 x)) y) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) x)) y) x) y)) |
(/ x (- y 1)) |
(/.f64 x (+.f64 #s(literal -1 binary64) y)) |
(* x (+ (* -1/2 (/ x (pow (- y 1) 2))) (/ 1 (- y 1)))) |
(fma.f64 (/.f64 x (*.f64 (+.f64 #s(literal -1 binary64) y) (+.f64 #s(literal -1 binary64) y))) (*.f64 x #s(literal -1/2 binary64)) (/.f64 x (+.f64 #s(literal -1 binary64) y))) |
(* x (+ (* x (- (* 1/3 (/ x (pow (- y 1) 3))) (* 1/2 (/ 1 (pow (- y 1) 2))))) (/ 1 (- y 1)))) |
(fma.f64 (*.f64 x x) (fma.f64 x (/.f64 #s(literal 1/3 binary64) (*.f64 (+.f64 #s(literal -1 binary64) y) (*.f64 (+.f64 #s(literal -1 binary64) y) (+.f64 #s(literal -1 binary64) y)))) (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal -1 binary64) y) (-.f64 #s(literal 1 binary64) y)))) (/.f64 x (+.f64 #s(literal -1 binary64) y))) |
(* x (+ (* x (- (* x (+ (* -1/4 (/ x (pow (- y 1) 4))) (* 1/3 (/ 1 (pow (- y 1) 3))))) (* 1/2 (/ 1 (pow (- y 1) 2))))) (/ 1 (- y 1)))) |
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(* -1/2 (pow y 2)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 y y)) |
(* -1 (* (pow y 2) (+ 1/2 (/ 1 y)))) |
(*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))) |
(* (pow y 2) (- (* -1 (/ (+ 1 (* -1 (/ x y))) y)) 1/2)) |
(*.f64 y (fma.f64 y (+.f64 (/.f64 x (*.f64 y y)) #s(literal -1/2 binary64)) #s(literal -1 binary64))) |
(* (pow y 2) (- (* -1 (/ (+ 1 (* -1 (/ x y))) y)) 1/2)) |
(*.f64 y (fma.f64 y (+.f64 (/.f64 x (*.f64 y y)) #s(literal -1/2 binary64)) #s(literal -1 binary64))) |
(* y (- (* -1/2 y) 1)) |
(*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))) |
(+ x (* y (- (* -1/2 y) 1))) |
(fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) x) |
(+ x (* y (- (* -1/2 y) 1))) |
(fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) x) |
(+ x (* y (- (* -1/2 y) 1))) |
(fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) x) |
x |
(* x (+ 1 (/ (* y (- (* -1/2 y) 1)) x))) |
(fma.f64 (*.f64 x y) (/.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) x) x) |
(* x (+ 1 (/ (* y (- (* -1/2 y) 1)) x))) |
(fma.f64 (*.f64 x y) (/.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) x) x) |
(* x (+ 1 (/ (* y (- (* -1/2 y) 1)) x))) |
(fma.f64 (*.f64 x y) (/.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) x) x) |
x |
(* -1 (* x (- (* -1 (/ (* y (- (* -1/2 y) 1)) x)) 1))) |
(fma.f64 (*.f64 x y) (/.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) x) x) |
(* -1 (* x (- (* -1 (/ (* y (- (* -1/2 y) 1)) x)) 1))) |
(fma.f64 (*.f64 x y) (/.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) x) x) |
(* -1 (* x (- (* -1 (/ (* y (- (* -1/2 y) 1)) x)) 1))) |
(fma.f64 (*.f64 x y) (/.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) x) x) |
-1 |
#s(literal -1 binary64) |
(- (* -1/2 y) 1) |
(fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) |
(- (* -1/2 y) 1) |
(fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) |
(- (* -1/2 y) 1) |
(fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) |
(* -1/2 y) |
(*.f64 y #s(literal -1/2 binary64)) |
(* -1 (* y (+ 1/2 (/ 1 y)))) |
(fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) |
(* -1 (* y (+ 1/2 (/ 1 y)))) |
(fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) |
(* -1 (* y (+ 1/2 (/ 1 y)))) |
(fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) |
(* -1/2 y) |
(*.f64 y #s(literal -1/2 binary64)) |
(* -1 (* y (+ 1/2 (/ 1 y)))) |
(fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) |
(* -1 (* y (+ 1/2 (/ 1 y)))) |
(fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) |
(* -1 (* y (+ 1/2 (/ 1 y)))) |
(fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) |
(+ 1 (log (neg y))) |
(+.f64 #s(literal 1 binary64) (log.f64 (neg.f64 y))) |
(+ 1 (+ x (log (neg y)))) |
(+.f64 (+.f64 #s(literal 1 binary64) x) (log.f64 (neg.f64 y))) |
(+ 1 (+ x (log (neg y)))) |
(+.f64 (+.f64 #s(literal 1 binary64) x) (log.f64 (neg.f64 y))) |
(+ 1 (+ x (log (neg y)))) |
(+.f64 (+.f64 #s(literal 1 binary64) x) (log.f64 (neg.f64 y))) |
x |
(* x (+ 1 (+ (/ 1 x) (/ (log (neg y)) x)))) |
(fma.f64 x (/.f64 (log.f64 (neg.f64 y)) x) (+.f64 #s(literal 1 binary64) x)) |
(* x (+ 1 (+ (/ 1 x) (/ (log (neg y)) x)))) |
(fma.f64 x (/.f64 (log.f64 (neg.f64 y)) x) (+.f64 #s(literal 1 binary64) x)) |
(* x (+ 1 (+ (/ 1 x) (/ (log (neg y)) x)))) |
(fma.f64 x (/.f64 (log.f64 (neg.f64 y)) x) (+.f64 #s(literal 1 binary64) x)) |
x |
(* -1 (* x (- (* -1 (/ (+ 1 (log (neg y))) x)) 1))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (log.f64 (neg.f64 y))) x))) |
(* -1 (* x (- (* -1 (/ (+ 1 (log (neg y))) x)) 1))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (log.f64 (neg.f64 y))) x))) |
(* -1 (* x (- (* -1 (/ (+ 1 (log (neg y))) x)) 1))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (log.f64 (neg.f64 y))) x))) |
(+ 1 (+ x (+ (log -1) (log y)))) |
(+.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 y))) |
(+ 1 (+ x (+ (log -1) (log y)))) |
(+.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 y))) |
(+ 1 (+ x (+ (log -1) (log y)))) |
(+.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 y))) |
(+ 1 (+ x (+ (log -1) (log y)))) |
(+.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 y))) |
(+ 1 (+ x (+ (log -1) (* -1 (log (/ 1 y)))))) |
(+.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 y))) |
(+ 1 (+ x (+ (log -1) (* -1 (log (/ 1 y)))))) |
(+.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 y))) |
(+ 1 (+ x (+ (log -1) (* -1 (log (/ 1 y)))))) |
(+.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 y))) |
(+ 1 (+ x (+ (log -1) (* -1 (log (/ 1 y)))))) |
(+.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 y))) |
(+ 1 (+ x (* -1 (log (/ -1 y))))) |
(-.f64 (+.f64 #s(literal 1 binary64) x) (neg.f64 (log.f64 (neg.f64 y)))) |
(+ 1 (+ x (* -1 (log (/ -1 y))))) |
(-.f64 (+.f64 #s(literal 1 binary64) x) (neg.f64 (log.f64 (neg.f64 y)))) |
(+ 1 (+ x (* -1 (log (/ -1 y))))) |
(-.f64 (+.f64 #s(literal 1 binary64) x) (neg.f64 (log.f64 (neg.f64 y)))) |
(+ 1 (+ x (* -1 (log (/ -1 y))))) |
(-.f64 (+.f64 #s(literal 1 binary64) x) (neg.f64 (log.f64 (neg.f64 y)))) |
1 |
#s(literal 1 binary64) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
x |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
x |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
(* -1 (+ (log -1) (log y))) |
(-.f64 (neg.f64 (log.f64 y)) (log.f64 #s(literal -1 binary64))) |
(* -1 (+ (log -1) (log y))) |
(-.f64 (neg.f64 (log.f64 y)) (log.f64 #s(literal -1 binary64))) |
(* -1 (+ (log -1) (log y))) |
(-.f64 (neg.f64 (log.f64 y)) (log.f64 #s(literal -1 binary64))) |
(* -1 (+ (log -1) (log y))) |
(-.f64 (neg.f64 (log.f64 y)) (log.f64 #s(literal -1 binary64))) |
(* -1 (+ (log -1) (* -1 (log (/ 1 y))))) |
(-.f64 (neg.f64 (log.f64 y)) (log.f64 #s(literal -1 binary64))) |
(* -1 (+ (log -1) (* -1 (log (/ 1 y))))) |
(-.f64 (neg.f64 (log.f64 y)) (log.f64 #s(literal -1 binary64))) |
(* -1 (+ (log -1) (* -1 (log (/ 1 y))))) |
(-.f64 (neg.f64 (log.f64 y)) (log.f64 #s(literal -1 binary64))) |
(* -1 (+ (log -1) (* -1 (log (/ 1 y))))) |
(-.f64 (neg.f64 (log.f64 y)) (log.f64 #s(literal -1 binary64))) |
(log (/ -1 y)) |
(neg.f64 (log.f64 (neg.f64 y))) |
(log (/ -1 y)) |
(neg.f64 (log.f64 (neg.f64 y))) |
(log (/ -1 y)) |
(neg.f64 (log.f64 (neg.f64 y))) |
(log (/ -1 y)) |
(neg.f64 (log.f64 (neg.f64 y))) |
(+ (log -1) (log y)) |
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 y)) |
(+ (log -1) (log y)) |
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 y)) |
(+ (log -1) (log y)) |
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 y)) |
(+ (log -1) (log y)) |
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 y)) |
(+ (log -1) (* -1 (log (/ 1 y)))) |
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 y)) |
(+ (log -1) (* -1 (log (/ 1 y)))) |
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 y)) |
(+ (log -1) (* -1 (log (/ 1 y)))) |
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 y)) |
(+ (log -1) (* -1 (log (/ 1 y)))) |
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 y)) |
(* -1 (log (/ -1 y))) |
(neg.f64 (neg.f64 (log.f64 (neg.f64 y)))) |
(* -1 (log (/ -1 y))) |
(neg.f64 (neg.f64 (log.f64 (neg.f64 y)))) |
(* -1 (log (/ -1 y))) |
(neg.f64 (neg.f64 (log.f64 (neg.f64 y)))) |
(* -1 (log (/ -1 y))) |
(neg.f64 (neg.f64 (log.f64 (neg.f64 y)))) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
Compiled 18 684 to 2 200 computations (88.2% saved)
31 alts after pruning (24 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 791 | 12 | 803 |
| Fresh | 3 | 12 | 15 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 4 | 4 |
| Total | 796 | 31 | 827 |
| Status | Accuracy | Program |
|---|---|---|
| 36.5% | (fma.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) y (+.f64 #s(literal 1 binary64) x)) | |
| 37.4% | (fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (neg.f64 y)) | |
| 22.0% | (fma.f64 y (fma.f64 y (+.f64 (/.f64 x (*.f64 y y)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) | |
| 35.6% | (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) | |
| 39.0% | (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 (+.f64 #s(literal -1 binary64) y) (+.f64 #s(literal -1 binary64) y))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) | |
| 21.6% | (fma.f64 x (/.f64 (log.f64 (neg.f64 y)) x) (+.f64 #s(literal 1 binary64) x)) | |
| 37.1% | (/.f64 (fma.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (+.f64 #s(literal 0 binary64) y) (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 y y)))) (*.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 0 binary64) y))) | |
| ▶ | 36.1% | (/.f64 (fma.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y)) #s(literal 1 binary64)) (fma.f64 (-.f64 x y) (-.f64 (-.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64))) |
| ▶ | 69.8% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))))) |
| ✓ | 58.7% | (-.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 x))) |
| 9.0% | (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) (log1p.f64 (neg.f64 x))) | |
| 10.2% | (-.f64 (neg.f64 y) (log1p.f64 (neg.f64 x))) | |
| ▶ | 22.4% | (-.f64 #s(literal 1 binary64) (/.f64 x y)) |
| ✓ | 69.9% | (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) |
| 36.6% | (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)))) | |
| ✓ | 71.0% | (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))))) |
| ✓ | 60.3% | (-.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x))) |
| 41.3% | (-.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal -1 binary64) (+.f64 x (/.f64 (+.f64 #s(literal -1 binary64) x) y))) y))) | |
| ✓ | 42.9% | (-.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y))) |
| ▶ | 23.6% | (-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x y))) |
| 36.5% | (-.f64 #s(literal 1 binary64) y) | |
| 21.6% | (+.f64 (+.f64 x (log.f64 (neg.f64 y))) #s(literal 1 binary64)) | |
| 37.3% | (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (+.f64 x y))) | |
| 37.5% | (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 x y) y) y)) | |
| ✓ | 37.5% | (+.f64 #s(literal 1 binary64) (-.f64 x y)) |
| 24.3% | (+.f64 #s(literal 1 binary64) (log.f64 (neg.f64 y))) | |
| 38.8% | (+.f64 #s(literal 1 binary64) x) | |
| 3.0% | (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))) | |
| 2.9% | (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) | |
| ▶ | 4.1% | (neg.f64 y) |
| ✓ | 38.8% | #s(literal 1 binary64) |
Compiled 624 to 408 computations (34.6% saved)
| 1× | egg-herbie |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (/.f64 x y) |
| ✓ | cost-diff | 0 | (log.f64 (/.f64 x y)) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x y))) |
| ✓ | cost-diff | 0 | (*.f64 (-.f64 x y) (-.f64 x y)) |
| ✓ | cost-diff | 0 | (-.f64 x y) |
| ✓ | cost-diff | 0 | (fma.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y)) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 (fma.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y)) #s(literal 1 binary64)) (fma.f64 (-.f64 x y) (-.f64 (-.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (/.f64 x y) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 1 binary64) (/.f64 x y)) |
| ✓ | cost-diff | 0 | (neg.f64 y) |
| ✓ | cost-diff | 0 | (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))))) |
| ✓ | cost-diff | 1408 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))))) |
| 12 636× | lower-fma.f32 |
| 12 632× | lower-fma.f64 |
| 2 582× | lower-+.f32 |
| 2 580× | lower-+.f64 |
| 2 362× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 154 |
| 0 | 41 | 140 |
| 1 | 69 | 140 |
| 2 | 131 | 140 |
| 3 | 375 | 140 |
| 4 | 1288 | 140 |
| 5 | 3327 | 140 |
| 6 | 5751 | 140 |
| 7 | 8000 | 140 |
| 0 | 8004 | 140 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))))) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))))) |
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) |
(log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) |
(/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))) |
(-.f64 x y) |
x |
y |
(+.f64 y #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(neg.f64 y) |
y |
(-.f64 #s(literal 1 binary64) (/.f64 x y)) |
#s(literal 1 binary64) |
(/.f64 x y) |
x |
y |
(/.f64 (fma.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y)) #s(literal 1 binary64)) (fma.f64 (-.f64 x y) (-.f64 (-.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(fma.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y)) #s(literal 1 binary64)) |
(-.f64 x y) |
x |
y |
(*.f64 (-.f64 x y) (-.f64 x y)) |
#s(literal 1 binary64) |
(fma.f64 (-.f64 x y) (-.f64 (-.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(-.f64 (-.f64 x y) #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x y))) |
#s(literal 1 binary64) |
(log.f64 (/.f64 x y)) |
(/.f64 x y) |
x |
y |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))))) |
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))))) |
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) |
(log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) |
(/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))) |
(-.f64 x y) |
x |
y |
(+.f64 y #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(neg.f64 y) |
y |
(-.f64 #s(literal 1 binary64) (/.f64 x y)) |
#s(literal 1 binary64) |
(/.f64 x y) |
x |
y |
(/.f64 (fma.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y)) #s(literal 1 binary64)) (fma.f64 (-.f64 x y) (-.f64 (-.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (fma.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y)) #s(literal 1 binary64)) (fma.f64 (-.f64 x y) (+.f64 x (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64))) |
(fma.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y)) #s(literal 1 binary64)) |
(-.f64 x y) |
x |
y |
(*.f64 (-.f64 x y) (-.f64 x y)) |
#s(literal 1 binary64) |
(fma.f64 (-.f64 x y) (-.f64 (-.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (-.f64 x y) (+.f64 x (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
(-.f64 (-.f64 x y) #s(literal 1 binary64)) |
(+.f64 x (-.f64 #s(literal -1 binary64) y)) |
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x y))) |
#s(literal 1 binary64) |
(log.f64 (/.f64 x y)) |
(/.f64 x y) |
x |
y |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (/.f64 x y) |
| ✓ | accuracy | 100.0% | (-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x y))) |
| ✓ | accuracy | 90.9% | (log.f64 (/.f64 x y)) |
| ✓ | accuracy | 100.0% | (fma.f64 (-.f64 x y) (-.f64 (-.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 (-.f64 x y) (-.f64 x y)) |
| ✓ | accuracy | 100.0% | (fma.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y)) #s(literal 1 binary64)) |
| ✓ | accuracy | 67.9% | (/.f64 (fma.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y)) #s(literal 1 binary64)) (fma.f64 (-.f64 x y) (-.f64 (-.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64))) |
| ✓ | accuracy | 100.0% | (/.f64 x y) |
| ✓ | accuracy | 100.0% | (-.f64 #s(literal 1 binary64) (/.f64 x y)) |
| ✓ | accuracy | 100.0% | (neg.f64 y) |
| ✓ | accuracy | 100.0% | (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))) |
| ✓ | accuracy | 99.9% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))))) |
| ✓ | accuracy | 99.9% | (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))))) |
| ✓ | accuracy | 83.7% | (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) |
| 38.0ms | 41× | 1 | valid |
| 19.0ms | 117× | 0 | invalid |
| 17.0ms | 98× | 0 | valid |
Compiled 156 to 25 computations (84% saved)
ival-div: 31.0ms (53.5% of total)ival-sub: 7.0ms (12.1% of total)ival-mult: 5.0ms (8.6% of total)ival-log1p: 4.0ms (6.9% of total)ival-add: 4.0ms (6.9% of total)ival-log: 3.0ms (5.2% of total)adjust: 2.0ms (3.5% of total)ival-neg: 1.0ms (1.7% of total)ival-assert: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))))))> |
#<alt (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))))> |
#<alt (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))))> |
#<alt (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))> |
#<alt (neg.f64 y)> |
#<alt (-.f64 #s(literal 1 binary64) (/.f64 x y))> |
#<alt (/.f64 x y)> |
#<alt (/.f64 (fma.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y)) #s(literal 1 binary64)) (fma.f64 (-.f64 x y) (-.f64 (-.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64)))> |
#<alt (fma.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y)) #s(literal 1 binary64))> |
#<alt (-.f64 x y)> |
#<alt (*.f64 (-.f64 x y) (-.f64 x y))> |
#<alt (-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x y)))> |
#<alt (log.f64 (/.f64 x y))> |
#<alt (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))> |
#<alt (fma.f64 (-.f64 x y) (-.f64 (-.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64))> |
| Outputs |
|---|
#<alt (- 1 (log (- 1 (/ y (- y 1)))))> |
#<alt (- (+ 1 (* -1 (/ x (* (- 1 (/ y (- y 1))) (- y 1))))) (log (- 1 (/ y (- y 1)))))> |
#<alt (- (+ 1 (* x (- (* 1/2 (/ x (* (pow (- 1 (/ y (- y 1))) 2) (pow (- y 1) 2)))) (/ 1 (* (- 1 (/ y (- y 1))) (- y 1)))))) (log (- 1 (/ y (- y 1)))))> |
#<alt (- (+ 1 (* x (- (* x (+ (* -1/3 (/ x (* (pow (- 1 (/ y (- y 1))) 3) (pow (- y 1) 3)))) (* 1/2 (/ 1 (* (pow (- 1 (/ y (- y 1))) 2) (pow (- y 1) 2)))))) (/ 1 (* (- 1 (/ y (- y 1))) (- y 1)))))) (log (- 1 (/ y (- y 1)))))> |
#<alt (- 1 (+ (log (/ 1 (- y 1))) (* -1 (log (/ 1 x)))))> |
#<alt (- (+ 1 (* -1 (/ (* (- 1 (/ y (- y 1))) (- y 1)) x))) (+ (log (/ 1 (- y 1))) (* -1 (log (/ 1 x)))))> |
#<alt (- (+ 1 (* 1/2 (/ (* (pow (- 1 (/ y (- y 1))) 2) (pow (- y 1) 2)) (pow x 2)))) (+ (log (/ 1 (- y 1))) (+ (* -1 (log (/ 1 x))) (/ (* (- 1 (/ y (- y 1))) (- y 1)) x))))> |
#<alt (- (+ 1 (* -1/3 (/ (* (pow (- 1 (/ y (- y 1))) 3) (pow (- y 1) 3)) (pow x 3)))) (+ (log (/ 1 (- y 1))) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (* (pow (- 1 (/ y (- y 1))) 2) (pow (- y 1) 2)) (pow x 2))) (/ (* (- 1 (/ y (- y 1))) (- y 1)) x)))))> |
#<alt (- 1 (+ (log (neg (/ 1 (- y 1)))) (* -1 (log (/ -1 x)))))> |
#<alt (- (+ 1 (* -1 (/ (* (+ 1 (* -1 (/ y (- y 1)))) (- y 1)) x))) (+ (log (neg (/ 1 (- y 1)))) (* -1 (log (/ -1 x)))))> |
#<alt (- (+ 1 (* -1 (/ (- (* -1/2 (/ (* (pow (+ 1 (* -1 (/ y (- y 1)))) 2) (pow (- y 1) 2)) x)) (* -1 (* (+ 1 (* -1 (/ y (- y 1)))) (- y 1)))) x))) (+ (log (neg (/ 1 (- y 1)))) (* -1 (log (/ -1 x)))))> |
#<alt (- (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1/3 (/ (* (pow (+ 1 (* -1 (/ y (- y 1)))) 3) (pow (- y 1) 3)) x)) (* -1/2 (* (pow (+ 1 (* -1 (/ y (- y 1)))) 2) (pow (- y 1) 2)))) x)) (* -1 (* (+ 1 (* -1 (/ y (- y 1)))) (- y 1)))) x))) (+ (log (neg (/ 1 (- y 1)))) (* -1 (log (/ -1 x)))))> |
#<alt (- 1 (log (+ 1 (* -1 x))))> |
#<alt (- (+ 1 (* y (- (/ x (+ 1 (* -1 x))) (/ 1 (+ 1 (* -1 x)))))) (log (+ 1 (* -1 x))))> |
#<alt (- (+ 1 (* y (- (+ (* -1/2 (* y (+ (* -1 (/ (pow (- 1 x) 2) (pow (+ 1 (* -1 x)) 2))) (* 2 (/ (- 1 x) (+ 1 (* -1 x))))))) (/ x (+ 1 (* -1 x)))) (/ 1 (+ 1 (* -1 x)))))) (log (+ 1 (* -1 x))))> |
#<alt (- (+ 1 (* y (- (+ (* y (- (* -1/6 (* y (+ (* -6 (/ (pow (- 1 x) 2) (pow (+ 1 (* -1 x)) 2))) (+ (* 2 (/ (pow (- 1 x) 3) (pow (+ 1 (* -1 x)) 3))) (* 6 (/ (- 1 x) (+ 1 (* -1 x)))))))) (* 1/2 (+ (* -1 (/ (pow (- 1 x) 2) (pow (+ 1 (* -1 x)) 2))) (* 2 (/ (- 1 x) (+ 1 (* -1 x)))))))) (/ x (+ 1 (* -1 x)))) (/ 1 (+ 1 (* -1 x)))))) (log (+ 1 (* -1 x))))> |
#<alt (- 1 (+ (log (- x 1)) (log (/ 1 y))))> |
#<alt (- (+ 1 (+ (* -1 (/ x (* y (- x 1)))) (/ 1 (* y (- x 1))))) (+ (log (- x 1)) (log (/ 1 y))))> |
#<alt (- (+ 1 (* -1/2 (/ (+ (* -2 (/ (+ 1 (* -1 x)) (- x 1))) (* -1 (/ (pow (+ 1 (* -1 x)) 2) (pow (- x 1) 2)))) (pow y 2)))) (+ (log (- x 1)) (+ (log (/ 1 y)) (* -1 (/ (+ 1 (* -1 x)) (* y (- x 1)))))))> |
#<alt (- (+ 1 (* -1/6 (/ (+ (* -6 (/ (+ 1 (* -1 x)) (- x 1))) (+ (* -6 (/ (pow (+ 1 (* -1 x)) 2) (pow (- x 1) 2))) (* -2 (/ (pow (+ 1 (* -1 x)) 3) (pow (- x 1) 3))))) (pow y 3)))) (+ (log (- x 1)) (+ (log (/ 1 y)) (+ (* -1 (/ (+ 1 (* -1 x)) (* y (- x 1)))) (* 1/2 (/ (+ (* -2 (/ (+ 1 (* -1 x)) (- x 1))) (* -1 (/ (pow (+ 1 (* -1 x)) 2) (pow (- x 1) 2)))) (pow y 2)))))))> |
#<alt (- 1 (+ (log (* -1 (- x 1))) (log (/ -1 y))))> |
#<alt (- (+ 1 (* -1 (/ (- (/ x (- x 1)) (/ 1 (- x 1))) y))) (+ (log (* -1 (- x 1))) (log (/ -1 y))))> |
#<alt (- (+ 1 (* -1 (/ (- (+ (* 1/2 (/ (+ 2 (* -1 (/ (pow (- 1 x) 2) (pow (- x 1) 2)))) y)) (/ x (- x 1))) (/ 1 (- x 1))) y))) (+ (log (* -1 (- x 1))) (log (/ -1 y))))> |
#<alt (- (+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* 1/6 (/ (+ (* -6 (/ (- 1 x) (- x 1))) (+ (* 2 (/ (pow (- 1 x) 3) (pow (- x 1) 3))) (* 6 (/ (- 1 x) (- x 1))))) y)) (* 1/2 (+ 2 (* -1 (/ (pow (- 1 x) 2) (pow (- x 1) 2)))))) y)) (/ x (- x 1))) (/ 1 (- x 1))) y))) (+ (log (* -1 (- x 1))) (log (/ -1 y))))> |
#<alt (/ 1 (- 1 (log (- 1 (/ y (- y 1))))))> |
#<alt (+ (/ 1 (- 1 (log (- 1 (/ y (- y 1)))))) (/ x (* (pow (- 1 (log (- 1 (/ y (- y 1))))) 2) (* (- 1 (/ y (- y 1))) (- y 1)))))> |
#<alt (+ (* x (+ (* x (- (/ 1 (* (pow (- 1 (log (- 1 (/ y (- y 1))))) 3) (* (pow (- 1 (/ y (- y 1))) 2) (pow (- y 1) 2)))) (* 1/2 (/ 1 (* (pow (- 1 (log (- 1 (/ y (- y 1))))) 2) (* (pow (- 1 (/ y (- y 1))) 2) (pow (- y 1) 2))))))) (/ 1 (* (pow (- 1 (log (- 1 (/ y (- y 1))))) 2) (* (- 1 (/ y (- y 1))) (- y 1)))))) (/ 1 (- 1 (log (- 1 (/ y (- y 1)))))))> |
#<alt (+ (* x (+ (* x (- (+ (* x (- (* 1/3 (/ 1 (* (pow (- 1 (log (- 1 (/ y (- y 1))))) 2) (* (pow (- 1 (/ y (- y 1))) 3) (pow (- y 1) 3))))) (+ (* -1 (/ (- (/ 1 (* (pow (- 1 (log (- 1 (/ y (- y 1))))) 3) (* (pow (- 1 (/ y (- y 1))) 2) (pow (- y 1) 2)))) (* 1/2 (/ 1 (* (pow (- 1 (log (- 1 (/ y (- y 1))))) 2) (* (pow (- 1 (/ y (- y 1))) 2) (pow (- y 1) 2)))))) (* (- 1 (log (- 1 (/ y (- y 1))))) (* (- 1 (/ y (- y 1))) (- y 1))))) (* 1/2 (/ 1 (* (pow (- 1 (log (- 1 (/ y (- y 1))))) 3) (* (pow (- 1 (/ y (- y 1))) 3) (pow (- y 1) 3)))))))) (/ 1 (* (pow (- 1 (log (- 1 (/ y (- y 1))))) 3) (* (pow (- 1 (/ y (- y 1))) 2) (pow (- y 1) 2))))) (* 1/2 (/ 1 (* (pow (- 1 (log (- 1 (/ y (- y 1))))) 2) (* (pow (- 1 (/ y (- y 1))) 2) (pow (- y 1) 2))))))) (/ 1 (* (pow (- 1 (log (- 1 (/ y (- y 1))))) 2) (* (- 1 (/ y (- y 1))) (- y 1)))))) (/ 1 (- 1 (log (- 1 (/ y (- y 1)))))))> |
#<alt (/ 1 (- 1 (+ (log (/ 1 (- y 1))) (* -1 (log (/ 1 x))))))> |
#<alt (+ (/ 1 (- 1 (+ (log (/ 1 (- y 1))) (* -1 (log (/ 1 x)))))) (/ (* (- 1 (/ y (- y 1))) (- y 1)) (* x (pow (- 1 (+ (log (/ 1 (- y 1))) (* -1 (log (/ 1 x))))) 2))))> |
#<alt (- (+ (* -1 (/ (+ (* -1 (/ (* (pow (- 1 (/ y (- y 1))) 2) (pow (- y 1) 2)) (pow (- 1 (+ (log (/ 1 (- y 1))) (* -1 (log (/ 1 x))))) 3))) (* 1/2 (/ (* (pow (- 1 (/ y (- y 1))) 2) (pow (- y 1) 2)) (pow (- 1 (+ (log (/ 1 (- y 1))) (* -1 (log (/ 1 x))))) 2)))) (pow x 2))) (/ 1 (- 1 (+ (log (/ 1 (- y 1))) (* -1 (log (/ 1 x))))))) (* -1 (/ (* (- 1 (/ y (- y 1))) (- y 1)) (* x (pow (- 1 (+ (log (/ 1 (- y 1))) (* -1 (log (/ 1 x))))) 2)))))> |
#<alt (- (+ (* -1 (/ (+ (* -1/3 (/ (* (pow (- 1 (/ y (- y 1))) 3) (pow (- y 1) 3)) (pow (- 1 (+ (log (/ 1 (- y 1))) (* -1 (log (/ 1 x))))) 2))) (+ (* 1/2 (/ (* (pow (- 1 (/ y (- y 1))) 3) (pow (- y 1) 3)) (pow (- 1 (+ (log (/ 1 (- y 1))) (* -1 (log (/ 1 x))))) 3))) (/ (* (+ (* -1 (/ (* (pow (- 1 (/ y (- y 1))) 2) (pow (- y 1) 2)) (pow (- 1 (+ (log (/ 1 (- y 1))) (* -1 (log (/ 1 x))))) 3))) (* 1/2 (/ (* (pow (- 1 (/ y (- y 1))) 2) (pow (- y 1) 2)) (pow (- 1 (+ (log (/ 1 (- y 1))) (* -1 (log (/ 1 x))))) 2)))) (* (- 1 (/ y (- y 1))) (- y 1))) (- 1 (+ (log (/ 1 (- y 1))) (* -1 (log (/ 1 x)))))))) (pow x 3))) (/ 1 (- 1 (+ (log (/ 1 (- y 1))) (* -1 (log (/ 1 x))))))) (+ (* -1 (/ (* (- 1 (/ y (- y 1))) (- y 1)) (* x (pow (- 1 (+ (log (/ 1 (- y 1))) (* -1 (log (/ 1 x))))) 2)))) (+ (* -1 (/ (* (pow (- 1 (/ y (- y 1))) 2) (pow (- y 1) 2)) (* (pow x 2) (pow (- 1 (+ (log (/ 1 (- y 1))) (* -1 (log (/ 1 x))))) 3)))) (* 1/2 (/ (* (pow (- 1 (/ y (- y 1))) 2) (pow (- y 1) 2)) (* (pow x 2) (pow (- 1 (+ (log (/ 1 (- y 1))) (* -1 (log (/ 1 x))))) 2)))))))> |
#<alt (/ 1 (- 1 (+ (log (neg (/ 1 (- y 1)))) (* -1 (log (/ -1 x))))))> |
#<alt (+ (/ 1 (- 1 (+ (log (neg (/ 1 (- y 1)))) (* -1 (log (/ -1 x)))))) (/ (* (+ 1 (* -1 (/ y (- y 1)))) (- y 1)) (* x (pow (- 1 (+ (log (neg (/ 1 (- y 1)))) (* -1 (log (/ -1 x))))) 2))))> |
#<alt (+ (* -1 (/ (- (+ (* -1 (/ (* (pow (+ 1 (* -1 (/ y (- y 1)))) 2) (pow (- y 1) 2)) (* x (pow (- 1 (+ (log (neg (/ 1 (- y 1)))) (* -1 (log (/ -1 x))))) 3)))) (* 1/2 (/ (* (pow (+ 1 (* -1 (/ y (- y 1)))) 2) (pow (- y 1) 2)) (* x (pow (- 1 (+ (log (neg (/ 1 (- y 1)))) (* -1 (log (/ -1 x))))) 2))))) (/ (* (+ 1 (* -1 (/ y (- y 1)))) (- y 1)) (pow (- 1 (+ (log (neg (/ 1 (- y 1)))) (* -1 (log (/ -1 x))))) 2))) x)) (/ 1 (- 1 (+ (log (neg (/ 1 (- y 1)))) (* -1 (log (/ -1 x)))))))> |
#<alt (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (+ 1 (* -1 (/ y (- y 1)))) (* (+ (* -1 (/ (* (pow (+ 1 (* -1 (/ y (- y 1)))) 2) (pow (- y 1) 2)) (pow (- 1 (+ (log (neg (/ 1 (- y 1)))) (* -1 (log (/ -1 x))))) 3))) (* 1/2 (/ (* (pow (+ 1 (* -1 (/ y (- y 1)))) 2) (pow (- y 1) 2)) (pow (- 1 (+ (log (neg (/ 1 (- y 1)))) (* -1 (log (/ -1 x))))) 2)))) (- y 1))) (* x (- 1 (+ (log (neg (/ 1 (- y 1)))) (* -1 (log (/ -1 x)))))))) (+ (* -1/2 (/ (* (pow (+ 1 (* -1 (/ y (- y 1)))) 3) (pow (- y 1) 3)) (* x (pow (- 1 (+ (log (neg (/ 1 (- y 1)))) (* -1 (log (/ -1 x))))) 3)))) (* 1/3 (/ (* (pow (+ 1 (* -1 (/ y (- y 1)))) 3) (pow (- y 1) 3)) (* x (pow (- 1 (+ (log (neg (/ 1 (- y 1)))) (* -1 (log (/ -1 x))))) 2)))))) (+ (* -1 (/ (* (pow (+ 1 (* -1 (/ y (- y 1)))) 2) (pow (- y 1) 2)) (pow (- 1 (+ (log (neg (/ 1 (- y 1)))) (* -1 (log (/ -1 x))))) 3))) (* 1/2 (/ (* (pow (+ 1 (* -1 (/ y (- y 1)))) 2) (pow (- y 1) 2)) (pow (- 1 (+ (log (neg (/ 1 (- y 1)))) (* -1 (log (/ -1 x))))) 2))))) x)) (/ (* (+ 1 (* -1 (/ y (- y 1)))) (- y 1)) (pow (- 1 (+ (log (neg (/ 1 (- y 1)))) (* -1 (log (/ -1 x))))) 2))) x)) (/ 1 (- 1 (+ (log (neg (/ 1 (- y 1)))) (* -1 (log (/ -1 x)))))))> |
#<alt (/ 1 (- 1 (log (+ 1 (* -1 x)))))> |
#<alt (+ (* y (- (/ 1 (* (+ 1 (* -1 x)) (pow (- 1 (log (+ 1 (* -1 x)))) 2))) (/ x (* (+ 1 (* -1 x)) (pow (- 1 (log (+ 1 (* -1 x)))) 2))))) (/ 1 (- 1 (log (+ 1 (* -1 x))))))> |
#<alt (+ (* y (- (+ (* -1 (* y (+ (* -1/2 (/ (+ (* -1 (/ (pow (- 1 x) 2) (pow (+ 1 (* -1 x)) 2))) (* 2 (/ (- 1 x) (+ 1 (* -1 x))))) (pow (- 1 (log (+ 1 (* -1 x)))) 2))) (/ (* (- (/ 1 (* (+ 1 (* -1 x)) (pow (- 1 (log (+ 1 (* -1 x)))) 2))) (/ x (* (+ 1 (* -1 x)) (pow (- 1 (log (+ 1 (* -1 x)))) 2)))) (- (/ x (+ 1 (* -1 x))) (/ 1 (+ 1 (* -1 x))))) (- 1 (log (+ 1 (* -1 x)))))))) (/ 1 (* (+ 1 (* -1 x)) (pow (- 1 (log (+ 1 (* -1 x)))) 2)))) (/ x (* (+ 1 (* -1 x)) (pow (- 1 (log (+ 1 (* -1 x)))) 2))))) (/ 1 (- 1 (log (+ 1 (* -1 x))))))> |
#<alt (+ (* y (- (+ (* y (- (* -1 (* y (+ (* -1 (/ (* (+ (* -1/2 (/ (+ (* -1 (/ (pow (- 1 x) 2) (pow (+ 1 (* -1 x)) 2))) (* 2 (/ (- 1 x) (+ 1 (* -1 x))))) (pow (- 1 (log (+ 1 (* -1 x)))) 2))) (/ (* (- (/ 1 (* (+ 1 (* -1 x)) (pow (- 1 (log (+ 1 (* -1 x)))) 2))) (/ x (* (+ 1 (* -1 x)) (pow (- 1 (log (+ 1 (* -1 x)))) 2)))) (- (/ x (+ 1 (* -1 x))) (/ 1 (+ 1 (* -1 x))))) (- 1 (log (+ 1 (* -1 x)))))) (- (/ x (+ 1 (* -1 x))) (/ 1 (+ 1 (* -1 x))))) (- 1 (log (+ 1 (* -1 x)))))) (+ (* -1/2 (/ (* (+ (* -1 (/ (pow (- 1 x) 2) (pow (+ 1 (* -1 x)) 2))) (* 2 (/ (- 1 x) (+ 1 (* -1 x))))) (- (/ 1 (* (+ 1 (* -1 x)) (pow (- 1 (log (+ 1 (* -1 x)))) 2))) (/ x (* (+ 1 (* -1 x)) (pow (- 1 (log (+ 1 (* -1 x)))) 2))))) (- 1 (log (+ 1 (* -1 x)))))) (* -1/6 (/ (+ (* -6 (/ (pow (- 1 x) 2) (pow (+ 1 (* -1 x)) 2))) (+ (* 2 (/ (pow (- 1 x) 3) (pow (+ 1 (* -1 x)) 3))) (* 6 (/ (- 1 x) (+ 1 (* -1 x)))))) (pow (- 1 (log (+ 1 (* -1 x)))) 2))))))) (+ (* -1/2 (/ (+ (* -1 (/ (pow (- 1 x) 2) (pow (+ 1 (* -1 x)) 2))) (* 2 (/ (- 1 x) (+ 1 (* -1 x))))) (pow (- 1 (log (+ 1 (* -1 x)))) 2))) (/ (* (- (/ 1 (* (+ 1 (* -1 x)) (pow (- 1 (log (+ 1 (* -1 x)))) 2))) (/ x (* (+ 1 (* -1 x)) (pow (- 1 (log (+ 1 (* -1 x)))) 2)))) (- (/ x (+ 1 (* -1 x))) (/ 1 (+ 1 (* -1 x))))) (- 1 (log (+ 1 (* -1 x)))))))) (/ 1 (* (+ 1 (* -1 x)) (pow (- 1 (log (+ 1 (* -1 x)))) 2)))) (/ x (* (+ 1 (* -1 x)) (pow (- 1 (log (+ 1 (* -1 x)))) 2))))) (/ 1 (- 1 (log (+ 1 (* -1 x))))))> |
#<alt (/ 1 (- 1 (+ (log (- x 1)) (log (/ 1 y)))))> |
#<alt (+ (* -1 (/ (+ (* -1 (/ x (* (pow (- 1 (+ (log (- x 1)) (log (/ 1 y)))) 2) (- x 1)))) (/ 1 (* (pow (- 1 (+ (log (- x 1)) (log (/ 1 y)))) 2) (- x 1)))) y)) (/ 1 (- 1 (+ (log (- x 1)) (log (/ 1 y))))))> |
#<alt (- (+ (* -1 (/ (+ (* -1 (/ (* (+ 1 (* -1 x)) (+ (* -1 (/ x (* (pow (- 1 (+ (log (- x 1)) (log (/ 1 y)))) 2) (- x 1)))) (/ 1 (* (pow (- 1 (+ (log (- x 1)) (log (/ 1 y)))) 2) (- x 1))))) (* (- 1 (+ (log (- x 1)) (log (/ 1 y)))) (- x 1)))) (* -1/2 (/ (+ (* -2 (/ (+ 1 (* -1 x)) (- x 1))) (* -1 (/ (pow (+ 1 (* -1 x)) 2) (pow (- x 1) 2)))) (pow (- 1 (+ (log (- x 1)) (log (/ 1 y)))) 2)))) (pow y 2))) (/ 1 (- 1 (+ (log (- x 1)) (log (/ 1 y)))))) (+ (* -1 (/ x (* y (* (pow (- 1 (+ (log (- x 1)) (log (/ 1 y)))) 2) (- x 1))))) (/ 1 (* y (* (pow (- 1 (+ (log (- x 1)) (log (/ 1 y)))) 2) (- x 1))))))> |
#<alt (- (+ (* -1 (/ (+ (* -1 (/ (* (+ 1 (* -1 x)) (+ (* -1 (/ (* (+ 1 (* -1 x)) (+ (* -1 (/ x (* (pow (- 1 (+ (log (- x 1)) (log (/ 1 y)))) 2) (- x 1)))) (/ 1 (* (pow (- 1 (+ (log (- x 1)) (log (/ 1 y)))) 2) (- x 1))))) (* (- 1 (+ (log (- x 1)) (log (/ 1 y)))) (- x 1)))) (* -1/2 (/ (+ (* -2 (/ (+ 1 (* -1 x)) (- x 1))) (* -1 (/ (pow (+ 1 (* -1 x)) 2) (pow (- x 1) 2)))) (pow (- 1 (+ (log (- x 1)) (log (/ 1 y)))) 2))))) (* (- 1 (+ (log (- x 1)) (log (/ 1 y)))) (- x 1)))) (+ (* -1/6 (/ (+ (* -6 (/ (+ 1 (* -1 x)) (- x 1))) (+ (* -6 (/ (pow (+ 1 (* -1 x)) 2) (pow (- x 1) 2))) (* -2 (/ (pow (+ 1 (* -1 x)) 3) (pow (- x 1) 3))))) (pow (- 1 (+ (log (- x 1)) (log (/ 1 y)))) 2))) (* 1/2 (/ (* (+ (* -2 (/ (+ 1 (* -1 x)) (- x 1))) (* -1 (/ (pow (+ 1 (* -1 x)) 2) (pow (- x 1) 2)))) (+ (* -1 (/ x (* (pow (- 1 (+ (log (- x 1)) (log (/ 1 y)))) 2) (- x 1)))) (/ 1 (* (pow (- 1 (+ (log (- x 1)) (log (/ 1 y)))) 2) (- x 1))))) (- 1 (+ (log (- x 1)) (log (/ 1 y)))))))) (pow y 3))) (/ 1 (- 1 (+ (log (- x 1)) (log (/ 1 y)))))) (+ (* -1 (/ x (* y (* (pow (- 1 (+ (log (- x 1)) (log (/ 1 y)))) 2) (- x 1))))) (+ (* -1 (/ (* (+ 1 (* -1 x)) (+ (* -1 (/ x (* (pow (- 1 (+ (log (- x 1)) (log (/ 1 y)))) 2) (- x 1)))) (/ 1 (* (pow (- 1 (+ (log (- x 1)) (log (/ 1 y)))) 2) (- x 1))))) (* (pow y 2) (* (- 1 (+ (log (- x 1)) (log (/ 1 y)))) (- x 1))))) (+ (* -1/2 (/ (+ (* -2 (/ (+ 1 (* -1 x)) (- x 1))) (* -1 (/ (pow (+ 1 (* -1 x)) 2) (pow (- x 1) 2)))) (* (pow y 2) (pow (- 1 (+ (log (- x 1)) (log (/ 1 y)))) 2)))) (/ 1 (* y (* (pow (- 1 (+ (log (- x 1)) (log (/ 1 y)))) 2) (- x 1))))))))> |
#<alt (/ 1 (- 1 (+ (log (* -1 (- x 1))) (log (/ -1 y)))))> |
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#<alt (* y (- (+ (* -2 (/ (pow x 2) (pow y 2))) (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (* 2 (/ x y)) (+ (/ 1 (pow y 3)) (+ (/ x y) (/ (pow x 3) (pow y 3))))))) (+ 1 (+ (* -1 (/ (+ 1 (* x (- x 1))) (pow y 2))) (+ (* -1 (/ (+ (* -1 x) (* -1 (- x 1))) y)) (+ (/ (* (+ 1 (* x (- x 1))) (- (+ x (* 2 x)) (* -1 (+ (* -1 x) (* -1 (- x 1)))))) (pow y 3)) (+ (/ (* (+ (* -1 x) (* -1 (- x 1))) (- (+ x (* 2 x)) (* -1 (+ (* -1 x) (* -1 (- x 1)))))) (pow y 2)) (/ (* (+ (* -1 x) (* -1 (- x 1))) (- (+ (* -2 (pow x 2)) (* -1 (pow x 2))) (+ (* -1 (+ 1 (* x (- x 1)))) (* (+ (* -1 x) (* -1 (- x 1))) (- (+ x (* 2 x)) (* -1 (+ (* -1 x) (* -1 (- x 1))))))))) (pow y 3)))))))))> |
#<alt (* -1 y)> |
#<alt (* -1 (* y (+ 1 (* -1 (/ (+ 1 x) y)))))> |
#<alt (* -1 (* y (+ 1 (* -1 (/ (+ 1 (+ x (* -1 (/ (- (+ (* 2 (pow x 2)) (pow x 2)) (+ 1 (+ (* x (- x 1)) (* (+ 1 x) (- (* 2 x) 1))))) y)))) y)))))> |
#<alt (* -1 (* y (+ 1 (* -1 (/ (+ 1 (+ x (* -1 (/ (- (+ (* -1 (/ (- (+ 1 (pow x 3)) (+ (* (+ 1 x) (+ 1 (* x (- x 1)))) (* (- (* 2 x) 1) (- (+ (* 2 (pow x 2)) (pow x 2)) (+ 1 (+ (* x (- x 1)) (* (+ 1 x) (- (* 2 x) 1)))))))) y)) (+ (* 2 (pow x 2)) (pow x 2))) (+ 1 (+ (* x (- x 1)) (* (+ 1 x) (- (* 2 x) 1))))) y)))) y)))))> |
#<alt (+ 1 (* -1 (pow y 3)))> |
#<alt (+ 1 (+ (* -1 (pow y 3)) (* x (+ (* 2 (pow y 2)) (pow y 2)))))> |
#<alt (+ 1 (+ (* -1 (pow y 3)) (* x (+ (* 2 (pow y 2)) (+ (* x (+ (* -2 y) (* -1 y))) (pow y 2))))))> |
#<alt (+ 1 (+ (* -1 (pow y 3)) (* x (+ (* 2 (pow y 2)) (+ (* x (+ x (+ (* -2 y) (* -1 y)))) (pow y 2))))))> |
#<alt (pow x 3)> |
#<alt (* (pow x 3) (+ 1 (+ (* -2 (/ y x)) (* -1 (/ y x)))))> |
#<alt (* (pow x 3) (+ 1 (+ (* -2 (/ y x)) (+ (* -1 (/ y x)) (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))))> |
#<alt (* (pow x 3) (+ 1 (+ (* -2 (/ y x)) (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 3) (pow x 3))) (+ (* 2 (/ (pow y 2) (pow x 2))) (+ (/ 1 (pow x 3)) (/ (pow y 2) (pow x 2)))))))))> |
#<alt (pow x 3)> |
#<alt (* -1 (* (pow x 3) (- (+ (* 2 (/ y x)) (/ y x)) 1)))> |
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ (* -1 (+ y (* 2 y))) (+ (* 2 (/ (pow y 2) x)) (/ (pow y 2) x))) x)) 1)))> |
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ (* -1 (+ y (* 2 y))) (* -1 (/ (+ (* -1 (+ (* 2 (pow y 2)) (pow y 2))) (* -1 (/ (+ 1 (* -1 (pow y 3))) x))) x))) x)) 1)))> |
#<alt (+ 1 (pow x 3))> |
#<alt (+ 1 (+ (* y (+ (* -2 (pow x 2)) (* -1 (pow x 2)))) (pow x 3)))> |
#<alt (+ 1 (+ (* y (+ (* -2 (pow x 2)) (+ (* -1 (pow x 2)) (* y (+ x (* 2 x)))))) (pow x 3)))> |
#<alt (+ 1 (+ (* y (+ (* -2 (pow x 2)) (+ (* -1 (pow x 2)) (* y (+ x (+ (* -1 y) (* 2 x))))))) (pow x 3)))> |
#<alt (* -1 (pow y 3))> |
#<alt (* (pow y 3) (- (+ (* 2 (/ x y)) (/ x y)) 1))> |
#<alt (* (pow y 3) (- (+ (* -2 (/ (pow x 2) (pow y 2))) (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (* 2 (/ x y)) (/ x y)))) 1))> |
#<alt (* (pow y 3) (- (+ (* -2 (/ (pow x 2) (pow y 2))) (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (* 2 (/ x y)) (+ (/ 1 (pow y 3)) (+ (/ x y) (/ (pow x 3) (pow y 3))))))) 1))> |
#<alt (* -1 (pow y 3))> |
#<alt (* -1 (* (pow y 3) (+ 1 (* -1 (/ (+ x (* 2 x)) y)))))> |
#<alt (* -1 (* (pow y 3) (+ 1 (* -1 (/ (+ x (+ (* -1 (/ (+ (* 2 (pow x 2)) (pow x 2)) y)) (* 2 x))) y)))))> |
#<alt (* -1 (* (pow y 3) (+ 1 (* -1 (/ (+ x (+ (* -1 (/ (+ (* -1 (/ (+ 1 (pow x 3)) y)) (+ (* 2 (pow x 2)) (pow x 2))) y)) (* 2 x))) y)))))> |
#<alt (* -1 y)> |
#<alt (- x y)> |
#<alt (- x y)> |
#<alt (- x y)> |
#<alt x> |
#<alt (* x (+ 1 (* -1 (/ y x))))> |
#<alt (* x (+ 1 (* -1 (/ y x))))> |
#<alt (* x (+ 1 (* -1 (/ y x))))> |
#<alt x> |
#<alt (* -1 (* x (- (/ y x) 1)))> |
#<alt (* -1 (* x (- (/ y x) 1)))> |
#<alt (* -1 (* x (- (/ y x) 1)))> |
#<alt x> |
#<alt (+ x (* -1 y))> |
#<alt (+ x (* -1 y))> |
#<alt (+ x (* -1 y))> |
#<alt (* -1 y)> |
#<alt (* y (- (/ x y) 1))> |
#<alt (* y (- (/ x y) 1))> |
#<alt (* y (- (/ x y) 1))> |
#<alt (* -1 y)> |
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))> |
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))> |
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))> |
#<alt (pow y 2)> |
#<alt (+ (* -2 (* x y)) (pow y 2))> |
#<alt (+ (* x (+ x (* -2 y))) (pow y 2))> |
#<alt (+ (* x (+ x (* -2 y))) (pow y 2))> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (+ 1 (* -2 (/ y x))))> |
#<alt (* (pow x 2) (+ 1 (+ (* -2 (/ y x)) (/ (pow y 2) (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1 (+ (* -2 (/ y x)) (/ (pow y 2) (pow x 2)))))> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (+ 1 (* -2 (/ y x))))> |
#<alt (* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (/ (pow y 2) x)) (* 2 y)) x))))> |
#<alt (* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (/ (pow y 2) x)) (* 2 y)) x))))> |
#<alt (pow x 2)> |
#<alt (+ (* -2 (* x y)) (pow x 2))> |
#<alt (+ (* y (+ y (* -2 x))) (pow x 2))> |
#<alt (+ (* y (+ y (* -2 x))) (pow x 2))> |
#<alt (pow y 2)> |
#<alt (* (pow y 2) (+ 1 (* -2 (/ x y))))> |
#<alt (* (pow y 2) (+ 1 (+ (* -2 (/ x y)) (/ (pow x 2) (pow y 2)))))> |
#<alt (* (pow y 2) (+ 1 (+ (* -2 (/ x y)) (/ (pow x 2) (pow y 2)))))> |
#<alt (pow y 2)> |
#<alt (* (pow y 2) (+ 1 (* -2 (/ x y))))> |
#<alt (* (pow y 2) (+ 1 (* -1 (/ (+ (* -1 (/ (pow x 2) y)) (* 2 x)) y))))> |
#<alt (* (pow y 2) (+ 1 (* -1 (/ (+ (* -1 (/ (pow x 2) y)) (* 2 x)) y))))> |
#<alt (- 1 (+ (log x) (log (/ 1 y))))> |
#<alt (- 1 (+ (log x) (log (/ 1 y))))> |
#<alt (- 1 (+ (log x) (log (/ 1 y))))> |
#<alt (- 1 (+ (log x) (log (/ 1 y))))> |
#<alt (- 1 (+ (log (/ 1 y)) (* -1 (log (/ 1 x)))))> |
#<alt (- 1 (+ (log (/ 1 y)) (* -1 (log (/ 1 x)))))> |
#<alt (- 1 (+ (log (/ 1 y)) (* -1 (log (/ 1 x)))))> |
#<alt (- 1 (+ (log (/ 1 y)) (* -1 (log (/ 1 x)))))> |
#<alt (- 1 (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))))> |
#<alt (- 1 (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))))> |
#<alt (- 1 (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))))> |
#<alt (- 1 (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))))> |
#<alt (- 1 (+ (log x) (* -1 (log y))))> |
#<alt (- 1 (+ (log x) (* -1 (log y))))> |
#<alt (- 1 (+ (log x) (* -1 (log y))))> |
#<alt (- 1 (+ (log x) (* -1 (log y))))> |
#<alt (- 1 (+ (log x) (log (/ 1 y))))> |
#<alt (- 1 (+ (log x) (log (/ 1 y))))> |
#<alt (- 1 (+ (log x) (log (/ 1 y))))> |
#<alt (- 1 (+ (log x) (log (/ 1 y))))> |
#<alt (- 1 (+ (log (* -1 x)) (log (/ -1 y))))> |
#<alt (- 1 (+ (log (* -1 x)) (log (/ -1 y))))> |
#<alt (- 1 (+ (log (* -1 x)) (log (/ -1 y))))> |
#<alt (- 1 (+ (log (* -1 x)) (log (/ -1 y))))> |
#<alt (+ (log x) (log (/ 1 y)))> |
#<alt (+ (log x) (log (/ 1 y)))> |
#<alt (+ (log x) (log (/ 1 y)))> |
#<alt (+ (log x) (log (/ 1 y)))> |
#<alt (+ (log (/ 1 y)) (* -1 (log (/ 1 x))))> |
#<alt (+ (log (/ 1 y)) (* -1 (log (/ 1 x))))> |
#<alt (+ (log (/ 1 y)) (* -1 (log (/ 1 x))))> |
#<alt (+ (log (/ 1 y)) (* -1 (log (/ 1 x))))> |
#<alt (+ (log (/ -1 y)) (* -1 (log (/ -1 x))))> |
#<alt (+ (log (/ -1 y)) (* -1 (log (/ -1 x))))> |
#<alt (+ (log (/ -1 y)) (* -1 (log (/ -1 x))))> |
#<alt (+ (log (/ -1 y)) (* -1 (log (/ -1 x))))> |
#<alt (+ (log x) (* -1 (log y)))> |
#<alt (+ (log x) (* -1 (log y)))> |
#<alt (+ (log x) (* -1 (log y)))> |
#<alt (+ (log x) (* -1 (log y)))> |
#<alt (+ (log x) (log (/ 1 y)))> |
#<alt (+ (log x) (log (/ 1 y)))> |
#<alt (+ (log x) (log (/ 1 y)))> |
#<alt (+ (log x) (log (/ 1 y)))> |
#<alt (+ (log (* -1 x)) (log (/ -1 y)))> |
#<alt (+ (log (* -1 x)) (log (/ -1 y)))> |
#<alt (+ (log (* -1 x)) (log (/ -1 y)))> |
#<alt (+ (log (* -1 x)) (log (/ -1 y)))> |
#<alt (* -1 (/ y (- y 1)))> |
#<alt (+ (* -1 (/ y (- y 1))) (/ x (- y 1)))> |
#<alt (+ (* -1 (/ y (- y 1))) (/ x (- y 1)))> |
#<alt (+ (* -1 (/ y (- y 1))) (/ x (- y 1)))> |
#<alt (/ x (- y 1))> |
#<alt (* x (+ (* -1 (/ y (* x (- y 1)))) (/ 1 (- y 1))))> |
#<alt (* x (+ (* -1 (/ y (* x (- y 1)))) (/ 1 (- y 1))))> |
#<alt (* x (+ (* -1 (/ y (* x (- y 1)))) (/ 1 (- y 1))))> |
#<alt (/ x (- y 1))> |
#<alt (* -1 (* x (- (/ y (* x (- y 1))) (/ 1 (- y 1)))))> |
#<alt (* -1 (* x (- (/ y (* x (- y 1))) (/ 1 (- y 1)))))> |
#<alt (* -1 (* x (- (/ y (* x (- y 1))) (/ 1 (- y 1)))))> |
#<alt (* -1 x)> |
#<alt (+ (* -1 x) (* y (- 1 x)))> |
#<alt (+ (* -1 x) (* y (- (+ 1 (* y (- 1 x))) x)))> |
#<alt (+ (* -1 x) (* y (- (+ 1 (* y (- (* y (- 1 x)) (* -1 (- 1 x))))) x)))> |
#<alt -1> |
#<alt (- (/ x y) (+ 1 (/ 1 y)))> |
#<alt (- (+ (/ x y) (/ x (pow y 2))) (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))))> |
#<alt (- (+ (/ x y) (/ x (pow y 3))) (+ 1 (+ (* -1 (/ (- x 1) (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3))))))> |
#<alt -1> |
#<alt (- (/ x y) (+ 1 (/ 1 y)))> |
#<alt (- (* -1 (/ (- (+ (* -1 (- x 1)) (/ 1 y)) (/ x y)) y)) 1)> |
#<alt (- (* -1 (/ (+ (* -1 (- x 1)) (* -1 (/ (- (+ (* -1 (- 1 x)) (/ x y)) (/ 1 y)) y))) y)) 1)> |
#<alt (+ 1 (* y (+ 1 y)))> |
#<alt (+ 1 (+ (* x (+ (* -1 y) (* -1 (+ 1 y)))) (* y (+ 1 y))))> |
#<alt (+ 1 (+ (* x (+ x (+ (* -1 y) (* -1 (+ 1 y))))) (* y (+ 1 y))))> |
#<alt (+ 1 (+ (* x (+ x (+ (* -1 y) (* -1 (+ 1 y))))) (* y (+ 1 y))))> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (* -1 (/ (+ 1 y) x)))))> |
#<alt (* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (+ 1 y) x)) (+ (/ 1 (pow x 2)) (/ (* y (+ 1 y)) (pow x 2)))))))> |
#<alt (* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (+ 1 y) x)) (+ (/ 1 (pow x 2)) (/ (* y (+ 1 y)) (pow x 2)))))))> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (+ 1 (* -1 (/ (+ 1 (* 2 y)) x))))> |
#<alt (* (pow x 2) (+ 1 (* -1 (/ (+ 1 (+ (* -1 (/ (+ 1 (* y (+ 1 y))) x)) (* 2 y))) x))))> |
#<alt (* (pow x 2) (+ 1 (* -1 (/ (+ 1 (+ (* -1 (/ (+ 1 (* y (+ 1 y))) x)) (* 2 y))) x))))> |
#<alt (+ 1 (* x (- x 1)))> |
#<alt (+ 1 (+ (* x (- x 1)) (* y (+ (* -1 x) (* -1 (- x 1))))))> |
#<alt (+ 1 (+ (* x (- x 1)) (* y (+ y (+ (* -1 x) (* -1 (- x 1)))))))> |
#<alt (+ 1 (+ (* x (- x 1)) (* y (+ y (+ (* -1 x) (* -1 (- x 1)))))))> |
#<alt (pow y 2)> |
#<alt (* (pow y 2) (+ 1 (+ (* -1 (/ x y)) (* -1 (/ (- x 1) y)))))> |
#<alt (* (pow y 2) (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ (- x 1) y)) (+ (/ 1 (pow y 2)) (/ (* x (- x 1)) (pow y 2)))))))> |
#<alt (* (pow y 2) (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ (- x 1) y)) (+ (/ 1 (pow y 2)) (/ (* x (- x 1)) (pow y 2)))))))> |
#<alt (pow y 2)> |
#<alt (* (pow y 2) (+ 1 (* -1 (/ (- (* 2 x) 1) y))))> |
#<alt (* (pow y 2) (+ 1 (* -1 (/ (- (+ (* -1 (/ (+ 1 (* x (- x 1))) y)) (* 2 x)) 1) y))))> |
#<alt (* (pow y 2) (+ 1 (* -1 (/ (- (+ (* -1 (/ (+ 1 (* x (- x 1))) y)) (* 2 x)) 1) y))))> |
87 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 179.0ms | y | @ | -inf | (- 1 (log (/ x y))) |
| 48.0ms | x | @ | -inf | (- 1 (log (/ x y))) |
| 46.0ms | x | @ | inf | (log (+ 1 (/ (- x y) (+ y -1)))) |
| 14.0ms | x | @ | 0 | (- 1 (log (/ x y))) |
| 14.0ms | y | @ | 0 | (- 1 (log (/ x y))) |
| 1× | batch-egg-rewrite |
| 4 944× | lower-/.f32 |
| 4 934× | lower-/.f64 |
| 4 566× | lower-*.f32 |
| 4 564× | lower-*.f64 |
| 2 350× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 126 |
| 0 | 41 | 110 |
| 1 | 197 | 110 |
| 2 | 1668 | 110 |
| 0 | 8586 | 110 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))))) |
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))))) |
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) |
(log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) |
(neg.f64 y) |
(-.f64 #s(literal 1 binary64) (/.f64 x y)) |
(/.f64 x y) |
(/.f64 (fma.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y)) #s(literal 1 binary64)) (fma.f64 (-.f64 x y) (-.f64 (-.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(fma.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y)) #s(literal 1 binary64)) |
(-.f64 x y) |
(*.f64 (-.f64 x y) (-.f64 x y)) |
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x y))) |
(log.f64 (/.f64 x y)) |
(/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))) |
(fma.f64 (-.f64 x y) (-.f64 (-.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64)) |
| Outputs |
|---|
(+.f64 #s(literal 1 binary64) (neg.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (neg.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))))) |
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) #s(literal 1 binary64))) |
(+.f64 (neg.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) #s(literal 1 binary64)) |
(exp.f64 (log1p.f64 (neg.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))))) |
(exp.f64 (*.f64 (log1p.f64 (neg.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))))) #s(literal 1 binary64))) |
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) |
(-.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) #s(literal 1 binary64))) |
(-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) #s(literal 1 binary64))) (/.f64 (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) #s(literal 3 binary64)) (fma.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) #s(literal 1 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))))) (/.f64 (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))))) |
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) #s(literal 3 binary64)) (fma.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) #s(literal 1 binary64))) #s(literal 1 binary64))) |
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))))) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))))) #s(literal 1 binary64))) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (fma.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) #s(literal 1 binary64)))) (/.f64 (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) #s(literal 3 binary64)) (*.f64 #s(literal 1 binary64) (fma.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) #s(literal 1 binary64))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))))) (/.f64 (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (neg.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))))) (/.f64 (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (neg.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))))))) |
(fma.f64 #s(literal -1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) #s(literal 1 binary64)) |
(neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))))) |
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(/.f64 (neg.f64 (-.f64 (*.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))) (/.f64 x (+.f64 y #s(literal -1 binary64)))) (*.f64 (/.f64 y (+.f64 y #s(literal -1 binary64))) (/.f64 y (+.f64 y #s(literal -1 binary64)))))) (neg.f64 (+.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))) (/.f64 y (+.f64 y #s(literal -1 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))))) (neg.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))))) (neg.f64 (+.f64 x y))) |
(pow.f64 (/.f64 (+.f64 y #s(literal -1 binary64)) (-.f64 x y)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (+.f64 y #s(literal -1 binary64)) (-.f64 x y)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) |
(*.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))) #s(literal 1 binary64)) |
(*.f64 (neg.f64 (-.f64 x y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (neg.f64 y)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (-.f64 x y)) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 x y) (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) (-.f64 (fma.f64 y y #s(literal 1 binary64)) (neg.f64 y))) |
(*.f64 (/.f64 (-.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) y)) |
(*.f64 (pow.f64 (/.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 x y))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 x y) (*.f64 x x)))) |
(*.f64 (pow.f64 (/.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (+.f64 x y) (-.f64 x y))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x y))) |
(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 x y) (+.f64 (-.f64 x y) #s(literal -1 binary64)))) |
(+.f64 (*.f64 (-.f64 x y) (+.f64 (-.f64 x y) #s(literal -1 binary64))) #s(literal 1 binary64)) |
(-.f64 (/.f64 (*.f64 (*.f64 (-.f64 x y) (-.f64 x y)) (*.f64 (+.f64 (-.f64 x y) #s(literal -1 binary64)) (+.f64 (-.f64 x y) #s(literal -1 binary64)))) (fma.f64 (-.f64 x y) (+.f64 (-.f64 x y) #s(literal -1 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 x y) (+.f64 (-.f64 x y) #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 x y) (+.f64 (-.f64 x y) #s(literal -1 binary64))))) (/.f64 (*.f64 (*.f64 (-.f64 x y) (-.f64 x y)) (*.f64 (+.f64 (-.f64 x y) #s(literal -1 binary64)) (+.f64 (-.f64 x y) #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 x y) (+.f64 (-.f64 x y) #s(literal -1 binary64)))))) |
(fma.f64 #s(literal 1 binary64) (*.f64 (-.f64 x y) (+.f64 (-.f64 x y) #s(literal -1 binary64))) #s(literal 1 binary64)) |
(fma.f64 (-.f64 x y) (+.f64 (-.f64 x y) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (-.f64 x y) (*.f64 (+.f64 (-.f64 x y) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (+.f64 (-.f64 x y) #s(literal -1 binary64)) (-.f64 x y) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (-.f64 x y) (+.f64 (-.f64 x y) #s(literal -1 binary64))) #s(literal 1 binary64) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (*.f64 (-.f64 x y) (-.f64 x y)) (*.f64 (+.f64 (-.f64 x y) #s(literal -1 binary64)) (+.f64 (-.f64 x y) #s(literal -1 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 x y) (+.f64 (-.f64 x y) #s(literal -1 binary64)))) (fma.f64 (*.f64 (-.f64 x y) (+.f64 (-.f64 x y) #s(literal -1 binary64))) (*.f64 (*.f64 (-.f64 x y) (-.f64 x y)) (*.f64 (+.f64 (-.f64 x y) #s(literal -1 binary64)) (+.f64 (-.f64 x y) #s(literal -1 binary64)))) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 x y) (+.f64 (-.f64 x y) #s(literal -1 binary64)) #s(literal -1 binary64)) (fma.f64 (*.f64 (-.f64 x y) (-.f64 x y)) (*.f64 (+.f64 (-.f64 x y) #s(literal -1 binary64)) (+.f64 (-.f64 x y) #s(literal -1 binary64))) #s(literal -1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 (*.f64 (-.f64 x y) (-.f64 x y)) (*.f64 (+.f64 (-.f64 x y) #s(literal -1 binary64)) (+.f64 (-.f64 x y) #s(literal -1 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 x y) (+.f64 (-.f64 x y) #s(literal -1 binary64)))) (fma.f64 (*.f64 (-.f64 x y) (+.f64 (-.f64 x y) #s(literal -1 binary64))) (*.f64 (*.f64 (-.f64 x y) (-.f64 x y)) (*.f64 (+.f64 (-.f64 x y) #s(literal -1 binary64)) (+.f64 (-.f64 x y) #s(literal -1 binary64)))) #s(literal 1 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (-.f64 x y) (+.f64 (-.f64 x y) #s(literal -1 binary64)) #s(literal -1 binary64)) (fma.f64 (*.f64 (-.f64 x y) (-.f64 x y)) (*.f64 (+.f64 (-.f64 x y) #s(literal -1 binary64)) (+.f64 (-.f64 x y) #s(literal -1 binary64))) #s(literal -1 binary64))))) |
(/.f64 (fma.f64 (*.f64 (-.f64 x y) (+.f64 (-.f64 x y) #s(literal -1 binary64))) (*.f64 (*.f64 (-.f64 x y) (-.f64 x y)) (*.f64 (+.f64 (-.f64 x y) #s(literal -1 binary64)) (+.f64 (-.f64 x y) #s(literal -1 binary64)))) #s(literal 1 binary64)) (-.f64 (fma.f64 (*.f64 (-.f64 x y) (-.f64 x y)) (*.f64 (+.f64 (-.f64 x y) #s(literal -1 binary64)) (+.f64 (-.f64 x y) #s(literal -1 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 x y) (+.f64 (-.f64 x y) #s(literal -1 binary64))))) |
(/.f64 (fma.f64 (*.f64 (-.f64 x y) (+.f64 (-.f64 x y) #s(literal -1 binary64))) (*.f64 (*.f64 (-.f64 x y) (-.f64 x y)) (*.f64 (+.f64 (-.f64 x y) #s(literal -1 binary64)) (+.f64 (-.f64 x y) #s(literal -1 binary64)))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (-.f64 x y) (-.f64 x y)) (*.f64 (+.f64 (-.f64 x y) #s(literal -1 binary64)) (+.f64 (-.f64 x y) #s(literal -1 binary64)))) (*.f64 (-.f64 x y) (+.f64 (-.f64 x y) #s(literal -1 binary64)))))) |
(/.f64 (fma.f64 (*.f64 (-.f64 x y) (-.f64 x y)) (*.f64 (+.f64 (-.f64 x y) #s(literal -1 binary64)) (+.f64 (-.f64 x y) #s(literal -1 binary64))) #s(literal -1 binary64)) (fma.f64 (-.f64 x y) (+.f64 (-.f64 x y) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (-.f64 x y) (+.f64 (-.f64 x y) #s(literal -1 binary64))) (*.f64 (*.f64 (-.f64 x y) (-.f64 x y)) (*.f64 (+.f64 (-.f64 x y) #s(literal -1 binary64)) (+.f64 (-.f64 x y) #s(literal -1 binary64)))) #s(literal 1 binary64))) (neg.f64 (-.f64 (fma.f64 (*.f64 (-.f64 x y) (-.f64 x y)) (*.f64 (+.f64 (-.f64 x y) #s(literal -1 binary64)) (+.f64 (-.f64 x y) #s(literal -1 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 x y) (+.f64 (-.f64 x y) #s(literal -1 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (-.f64 x y) (+.f64 (-.f64 x y) #s(literal -1 binary64))) (*.f64 (*.f64 (-.f64 x y) (-.f64 x y)) (*.f64 (+.f64 (-.f64 x y) #s(literal -1 binary64)) (+.f64 (-.f64 x y) #s(literal -1 binary64)))) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (-.f64 x y) (-.f64 x y)) (*.f64 (+.f64 (-.f64 x y) #s(literal -1 binary64)) (+.f64 (-.f64 x y) #s(literal -1 binary64)))) (*.f64 (-.f64 x y) (+.f64 (-.f64 x y) #s(literal -1 binary64))))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (-.f64 x y) (-.f64 x y)) (*.f64 (+.f64 (-.f64 x y) #s(literal -1 binary64)) (+.f64 (-.f64 x y) #s(literal -1 binary64))) #s(literal -1 binary64))) (neg.f64 (fma.f64 (-.f64 x y) (+.f64 (-.f64 x y) #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 x y) (-.f64 x y)) (*.f64 (+.f64 (-.f64 x y) #s(literal -1 binary64)) (+.f64 (-.f64 x y) #s(literal -1 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 x y) (+.f64 (-.f64 x y) #s(literal -1 binary64))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (-.f64 x y) (-.f64 x y)) (*.f64 (+.f64 (-.f64 x y) #s(literal -1 binary64)) (+.f64 (-.f64 x y) #s(literal -1 binary64)))) (fma.f64 (-.f64 x y) (+.f64 (-.f64 x y) #s(literal -1 binary64)) #s(literal -1 binary64))) (*.f64 (fma.f64 (-.f64 x y) (+.f64 (-.f64 x y) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (-.f64 x y) (+.f64 (-.f64 x y) #s(literal -1 binary64)) #s(literal -1 binary64)) (fma.f64 (-.f64 x y) (+.f64 (-.f64 x y) #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 x y) (-.f64 x y)) (*.f64 (+.f64 (-.f64 x y) #s(literal -1 binary64)) (+.f64 (-.f64 x y) #s(literal -1 binary64)))))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 x y) (+.f64 (-.f64 x y) #s(literal -1 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 (-.f64 x y) (+.f64 (-.f64 x y) #s(literal -1 binary64))) (*.f64 (*.f64 (-.f64 x y) (-.f64 x y)) (*.f64 (+.f64 (-.f64 x y) #s(literal -1 binary64)) (+.f64 (-.f64 x y) #s(literal -1 binary64)))) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (*.f64 (-.f64 x y) (-.f64 x y)) (*.f64 (+.f64 (-.f64 x y) #s(literal -1 binary64)) (+.f64 (-.f64 x y) #s(literal -1 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 x y) (+.f64 (-.f64 x y) #s(literal -1 binary64))))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 (-.f64 x y) (-.f64 x y)) (*.f64 (+.f64 (-.f64 x y) #s(literal -1 binary64)) (+.f64 (-.f64 x y) #s(literal -1 binary64))) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (-.f64 x y) (+.f64 (-.f64 x y) #s(literal -1 binary64)) #s(literal -1 binary64))))) |
(pow.f64 (/.f64 (-.f64 (fma.f64 (*.f64 (-.f64 x y) (-.f64 x y)) (*.f64 (+.f64 (-.f64 x y) #s(literal -1 binary64)) (+.f64 (-.f64 x y) #s(literal -1 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 x y) (+.f64 (-.f64 x y) #s(literal -1 binary64)))) (fma.f64 (*.f64 (-.f64 x y) (+.f64 (-.f64 x y) #s(literal -1 binary64))) (*.f64 (*.f64 (-.f64 x y) (-.f64 x y)) (*.f64 (+.f64 (-.f64 x y) #s(literal -1 binary64)) (+.f64 (-.f64 x y) #s(literal -1 binary64)))) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (-.f64 x y) (+.f64 (-.f64 x y) #s(literal -1 binary64)) #s(literal -1 binary64)) (fma.f64 (*.f64 (-.f64 x y) (-.f64 x y)) (*.f64 (+.f64 (-.f64 x y) #s(literal -1 binary64)) (+.f64 (-.f64 x y) #s(literal -1 binary64))) #s(literal -1 binary64))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 (*.f64 (-.f64 x y) (+.f64 (-.f64 x y) #s(literal -1 binary64))) (*.f64 (*.f64 (-.f64 x y) (-.f64 x y)) (*.f64 (+.f64 (-.f64 x y) #s(literal -1 binary64)) (+.f64 (-.f64 x y) #s(literal -1 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 (-.f64 x y) (-.f64 x y)) (*.f64 (+.f64 (-.f64 x y) #s(literal -1 binary64)) (+.f64 (-.f64 x y) #s(literal -1 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 x y) (+.f64 (-.f64 x y) #s(literal -1 binary64)))))) |
(*.f64 (fma.f64 (*.f64 (-.f64 x y) (-.f64 x y)) (*.f64 (+.f64 (-.f64 x y) #s(literal -1 binary64)) (+.f64 (-.f64 x y) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 x y) (+.f64 (-.f64 x y) #s(literal -1 binary64)) #s(literal -1 binary64)))) |
| 1× | egg-herbie |
| 6 944× | lower-fma.f64 |
| 6 944× | lower-fma.f32 |
| 6 002× | lower-*.f64 |
| 6 002× | lower-*.f32 |
| 5 594× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1132 | 10197 |
| 1 | 3738 | 9224 |
| 0 | 8900 | 8783 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- 1 (log (- 1 (/ y (- y 1))))) |
(- (+ 1 (* -1 (/ x (* (- 1 (/ y (- y 1))) (- y 1))))) (log (- 1 (/ y (- y 1))))) |
(- (+ 1 (* x (- (* 1/2 (/ x (* (pow (- 1 (/ y (- y 1))) 2) (pow (- y 1) 2)))) (/ 1 (* (- 1 (/ y (- y 1))) (- y 1)))))) (log (- 1 (/ y (- y 1))))) |
(- (+ 1 (* x (- (* x (+ (* -1/3 (/ x (* (pow (- 1 (/ y (- y 1))) 3) (pow (- y 1) 3)))) (* 1/2 (/ 1 (* (pow (- 1 (/ y (- y 1))) 2) (pow (- y 1) 2)))))) (/ 1 (* (- 1 (/ y (- y 1))) (- y 1)))))) (log (- 1 (/ y (- y 1))))) |
(- 1 (+ (log (/ 1 (- y 1))) (* -1 (log (/ 1 x))))) |
(- (+ 1 (* -1 (/ (* (- 1 (/ y (- y 1))) (- y 1)) x))) (+ (log (/ 1 (- y 1))) (* -1 (log (/ 1 x))))) |
(- (+ 1 (* 1/2 (/ (* (pow (- 1 (/ y (- y 1))) 2) (pow (- y 1) 2)) (pow x 2)))) (+ (log (/ 1 (- y 1))) (+ (* -1 (log (/ 1 x))) (/ (* (- 1 (/ y (- y 1))) (- y 1)) x)))) |
(- (+ 1 (* -1/3 (/ (* (pow (- 1 (/ y (- y 1))) 3) (pow (- y 1) 3)) (pow x 3)))) (+ (log (/ 1 (- y 1))) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (* (pow (- 1 (/ y (- y 1))) 2) (pow (- y 1) 2)) (pow x 2))) (/ (* (- 1 (/ y (- y 1))) (- y 1)) x))))) |
(- 1 (+ (log (neg (/ 1 (- y 1)))) (* -1 (log (/ -1 x))))) |
(- (+ 1 (* -1 (/ (* (+ 1 (* -1 (/ y (- y 1)))) (- y 1)) x))) (+ (log (neg (/ 1 (- y 1)))) (* -1 (log (/ -1 x))))) |
(- (+ 1 (* -1 (/ (- (* -1/2 (/ (* (pow (+ 1 (* -1 (/ y (- y 1)))) 2) (pow (- y 1) 2)) x)) (* -1 (* (+ 1 (* -1 (/ y (- y 1)))) (- y 1)))) x))) (+ (log (neg (/ 1 (- y 1)))) (* -1 (log (/ -1 x))))) |
(- (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1/3 (/ (* (pow (+ 1 (* -1 (/ y (- y 1)))) 3) (pow (- y 1) 3)) x)) (* -1/2 (* (pow (+ 1 (* -1 (/ y (- y 1)))) 2) (pow (- y 1) 2)))) x)) (* -1 (* (+ 1 (* -1 (/ y (- y 1)))) (- y 1)))) x))) (+ (log (neg (/ 1 (- y 1)))) (* -1 (log (/ -1 x))))) |
(- 1 (log (+ 1 (* -1 x)))) |
(- (+ 1 (* y (- (/ x (+ 1 (* -1 x))) (/ 1 (+ 1 (* -1 x)))))) (log (+ 1 (* -1 x)))) |
(- (+ 1 (* y (- (+ (* -1/2 (* y (+ (* -1 (/ (pow (- 1 x) 2) (pow (+ 1 (* -1 x)) 2))) (* 2 (/ (- 1 x) (+ 1 (* -1 x))))))) (/ x (+ 1 (* -1 x)))) (/ 1 (+ 1 (* -1 x)))))) (log (+ 1 (* -1 x)))) |
(- (+ 1 (* y (- (+ (* y (- (* -1/6 (* y (+ (* -6 (/ (pow (- 1 x) 2) (pow (+ 1 (* -1 x)) 2))) (+ (* 2 (/ (pow (- 1 x) 3) (pow (+ 1 (* -1 x)) 3))) (* 6 (/ (- 1 x) (+ 1 (* -1 x)))))))) (* 1/2 (+ (* -1 (/ (pow (- 1 x) 2) (pow (+ 1 (* -1 x)) 2))) (* 2 (/ (- 1 x) (+ 1 (* -1 x)))))))) (/ x (+ 1 (* -1 x)))) (/ 1 (+ 1 (* -1 x)))))) (log (+ 1 (* -1 x)))) |
(- 1 (+ (log (- x 1)) (log (/ 1 y)))) |
(- (+ 1 (+ (* -1 (/ x (* y (- x 1)))) (/ 1 (* y (- x 1))))) (+ (log (- x 1)) (log (/ 1 y)))) |
(- (+ 1 (* -1/2 (/ (+ (* -2 (/ (+ 1 (* -1 x)) (- x 1))) (* -1 (/ (pow (+ 1 (* -1 x)) 2) (pow (- x 1) 2)))) (pow y 2)))) (+ (log (- x 1)) (+ (log (/ 1 y)) (* -1 (/ (+ 1 (* -1 x)) (* y (- x 1))))))) |
(- (+ 1 (* -1/6 (/ (+ (* -6 (/ (+ 1 (* -1 x)) (- x 1))) (+ (* -6 (/ (pow (+ 1 (* -1 x)) 2) (pow (- x 1) 2))) (* -2 (/ (pow (+ 1 (* -1 x)) 3) (pow (- x 1) 3))))) (pow y 3)))) (+ (log (- x 1)) (+ (log (/ 1 y)) (+ (* -1 (/ (+ 1 (* -1 x)) (* y (- x 1)))) (* 1/2 (/ (+ (* -2 (/ (+ 1 (* -1 x)) (- x 1))) (* -1 (/ (pow (+ 1 (* -1 x)) 2) (pow (- x 1) 2)))) (pow y 2))))))) |
(- 1 (+ (log (* -1 (- x 1))) (log (/ -1 y)))) |
(- (+ 1 (* -1 (/ (- (/ x (- x 1)) (/ 1 (- x 1))) y))) (+ (log (* -1 (- x 1))) (log (/ -1 y)))) |
(- (+ 1 (* -1 (/ (- (+ (* 1/2 (/ (+ 2 (* -1 (/ (pow (- 1 x) 2) (pow (- x 1) 2)))) y)) (/ x (- x 1))) (/ 1 (- x 1))) y))) (+ (log (* -1 (- x 1))) (log (/ -1 y)))) |
(- (+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* 1/6 (/ (+ (* -6 (/ (- 1 x) (- x 1))) (+ (* 2 (/ (pow (- 1 x) 3) (pow (- x 1) 3))) (* 6 (/ (- 1 x) (- x 1))))) y)) (* 1/2 (+ 2 (* -1 (/ (pow (- 1 x) 2) (pow (- x 1) 2)))))) y)) (/ x (- x 1))) (/ 1 (- x 1))) y))) (+ (log (* -1 (- x 1))) (log (/ -1 y)))) |
(/ 1 (- 1 (log (- 1 (/ y (- y 1)))))) |
(+ (/ 1 (- 1 (log (- 1 (/ y (- y 1)))))) (/ x (* (pow (- 1 (log (- 1 (/ y (- y 1))))) 2) (* (- 1 (/ y (- y 1))) (- y 1))))) |
(+ (* x (+ (* x (- (/ 1 (* (pow (- 1 (log (- 1 (/ y (- y 1))))) 3) (* (pow (- 1 (/ y (- y 1))) 2) (pow (- y 1) 2)))) (* 1/2 (/ 1 (* (pow (- 1 (log (- 1 (/ y (- y 1))))) 2) (* (pow (- 1 (/ y (- y 1))) 2) (pow (- y 1) 2))))))) (/ 1 (* (pow (- 1 (log (- 1 (/ y (- y 1))))) 2) (* (- 1 (/ y (- y 1))) (- y 1)))))) (/ 1 (- 1 (log (- 1 (/ y (- y 1))))))) |
(+ (* x (+ (* x (- (+ (* x (- (* 1/3 (/ 1 (* (pow (- 1 (log (- 1 (/ y (- y 1))))) 2) (* (pow (- 1 (/ y (- y 1))) 3) (pow (- y 1) 3))))) (+ (* -1 (/ (- (/ 1 (* (pow (- 1 (log (- 1 (/ y (- y 1))))) 3) (* (pow (- 1 (/ y (- y 1))) 2) (pow (- y 1) 2)))) (* 1/2 (/ 1 (* (pow (- 1 (log (- 1 (/ y (- y 1))))) 2) (* (pow (- 1 (/ y (- y 1))) 2) (pow (- y 1) 2)))))) (* (- 1 (log (- 1 (/ y (- y 1))))) (* (- 1 (/ y (- y 1))) (- y 1))))) (* 1/2 (/ 1 (* (pow (- 1 (log (- 1 (/ y (- y 1))))) 3) (* (pow (- 1 (/ y (- y 1))) 3) (pow (- y 1) 3)))))))) (/ 1 (* (pow (- 1 (log (- 1 (/ y (- y 1))))) 3) (* (pow (- 1 (/ y (- y 1))) 2) (pow (- y 1) 2))))) (* 1/2 (/ 1 (* (pow (- 1 (log (- 1 (/ y (- y 1))))) 2) (* (pow (- 1 (/ y (- y 1))) 2) (pow (- y 1) 2))))))) (/ 1 (* (pow (- 1 (log (- 1 (/ y (- y 1))))) 2) (* (- 1 (/ y (- y 1))) (- y 1)))))) (/ 1 (- 1 (log (- 1 (/ y (- y 1))))))) |
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(+ (* -1 (/ (pow y 3) (+ 1 (* y (+ 1 y))))) (+ (* x (- (+ (* 2 (/ (pow y 2) (+ 1 (* y (+ 1 y))))) (/ (pow y 2) (+ 1 (* y (+ 1 y))))) (/ (* (+ 1 (* -1 (pow y 3))) (+ (* -1 y) (* -1 (+ 1 y)))) (pow (+ 1 (* y (+ 1 y))) 2)))) (/ 1 (+ 1 (* y (+ 1 y)))))) |
(+ (* -1 (/ (pow y 3) (+ 1 (* y (+ 1 y))))) (+ (* x (- (+ (* 2 (/ (pow y 2) (+ 1 (* y (+ 1 y))))) (+ (* x (- (+ (* -2 (/ y (+ 1 (* y (+ 1 y))))) (* -1 (/ y (+ 1 (* y (+ 1 y)))))) (+ (* -1 (/ (pow y 3) (pow (+ 1 (* y (+ 1 y))) 2))) (+ (/ 1 (pow (+ 1 (* y (+ 1 y))) 2)) (/ (* (+ (* -1 y) (* -1 (+ 1 y))) (- (+ (* 2 (/ (pow y 2) (+ 1 (* y (+ 1 y))))) (/ (pow y 2) (+ 1 (* y (+ 1 y))))) (/ (* (+ 1 (* -1 (pow y 3))) (+ (* -1 y) (* -1 (+ 1 y)))) (pow (+ 1 (* y (+ 1 y))) 2)))) (+ 1 (* y (+ 1 y)))))))) (/ (pow y 2) (+ 1 (* y (+ 1 y)))))) (/ (* (+ 1 (* -1 (pow y 3))) (+ (* -1 y) (* -1 (+ 1 y)))) (pow (+ 1 (* y (+ 1 y))) 2)))) (/ 1 (+ 1 (* y (+ 1 y)))))) |
(+ (* -1 (/ (pow y 3) (+ 1 (* y (+ 1 y))))) (+ (* x (- (+ (* 2 (/ (pow y 2) (+ 1 (* y (+ 1 y))))) (+ (* x (- (+ (* -2 (/ y (+ 1 (* y (+ 1 y))))) (+ (* -1 (/ y (+ 1 (* y (+ 1 y))))) (* x (- (+ (/ 1 (+ 1 (* y (+ 1 y)))) (/ (* (+ 1 (* -1 (pow y 3))) (+ (* -1 y) (* -1 (+ 1 y)))) (pow (+ 1 (* y (+ 1 y))) 3))) (+ (* 2 (/ (pow y 2) (pow (+ 1 (* y (+ 1 y))) 2))) (+ (/ (* (+ (* -1 y) (* -1 (+ 1 y))) (- (+ (* -2 (/ y (+ 1 (* y (+ 1 y))))) (* -1 (/ y (+ 1 (* y (+ 1 y)))))) (+ (* -1 (/ (pow y 3) (pow (+ 1 (* y (+ 1 y))) 2))) (+ (/ 1 (pow (+ 1 (* y (+ 1 y))) 2)) (/ (* (+ (* -1 y) (* -1 (+ 1 y))) (- (+ (* 2 (/ (pow y 2) (+ 1 (* y (+ 1 y))))) (/ (pow y 2) (+ 1 (* y (+ 1 y))))) (/ (* (+ 1 (* -1 (pow y 3))) (+ (* -1 y) (* -1 (+ 1 y)))) (pow (+ 1 (* y (+ 1 y))) 2)))) (+ 1 (* y (+ 1 y)))))))) (+ 1 (* y (+ 1 y)))) (/ (pow y 2) (pow (+ 1 (* y (+ 1 y))) 2)))))))) (+ (* -1 (/ (pow y 3) (pow (+ 1 (* y (+ 1 y))) 2))) (+ (/ 1 (pow (+ 1 (* y (+ 1 y))) 2)) (/ (* (+ (* -1 y) (* -1 (+ 1 y))) (- (+ (* 2 (/ (pow y 2) (+ 1 (* y (+ 1 y))))) (/ (pow y 2) (+ 1 (* y (+ 1 y))))) (/ (* (+ 1 (* -1 (pow y 3))) (+ (* -1 y) (* -1 (+ 1 y)))) (pow (+ 1 (* y (+ 1 y))) 2)))) (+ 1 (* y (+ 1 y)))))))) (/ (pow y 2) (+ 1 (* y (+ 1 y)))))) (/ (* (+ 1 (* -1 (pow y 3))) (+ (* -1 y) (* -1 (+ 1 y)))) (pow (+ 1 (* y (+ 1 y))) 2)))) (/ 1 (+ 1 (* y (+ 1 y)))))) |
x |
(* x (- (+ 1 (* -2 (/ y x))) (* -1 (/ (+ 1 y) x)))) |
(* x (- (+ 1 (+ (* -2 (/ y x)) (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) (+ (* -1 (/ (+ 1 y) x)) (+ (/ 1 (pow x 2)) (+ (/ (* y (+ 1 y)) (pow x 2)) (/ (* (+ (* -1 y) (* -1 (+ 1 y))) (- (* -2 y) (* -1 (+ 1 y)))) (pow x 2))))))) |
(* x (- (+ 1 (+ (* -2 (/ y x)) (+ (* -1 (/ (pow y 3) (pow x 3))) (+ (* 2 (/ (pow y 2) (pow x 2))) (+ (/ 1 (pow x 3)) (/ (pow y 2) (pow x 2))))))) (+ (* -1 (/ (+ 1 y) x)) (+ (/ 1 (pow x 2)) (+ (/ (* y (+ 1 y)) (pow x 2)) (+ (/ (* (+ 1 (* y (+ 1 y))) (- (* -2 y) (* -1 (+ 1 y)))) (pow x 3)) (+ (/ (* (+ (* -1 y) (* -1 (+ 1 y))) (- (* -2 y) (* -1 (+ 1 y)))) (pow x 2)) (/ (* (+ (* -1 y) (* -1 (+ 1 y))) (- (+ (* 2 (pow y 2)) (pow y 2)) (+ 1 (+ (* y (+ 1 y)) (* (+ (* -1 y) (* -1 (+ 1 y))) (- (* -2 y) (* -1 (+ 1 y)))))))) (pow x 3))))))))) |
x |
(* -1 (* x (- (* -1 (/ (- (* -1 (+ y (* 2 y))) (* -1 (+ 1 (* 2 y)))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (+ y (* 2 y))) (* -1 (/ (- (* -1 (+ (* 2 (pow y 2)) (pow y 2))) (+ (* -1 (+ 1 (* y (+ 1 y)))) (* (+ 1 (* 2 y)) (- (* -1 (+ y (* 2 y))) (* -1 (+ 1 (* 2 y))))))) x))) (* -1 (+ 1 (* 2 y)))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (+ y (* 2 y))) (* -1 (/ (- (+ (* -1 (+ (* 2 (pow y 2)) (pow y 2))) (* -1 (/ (- (+ 1 (* -1 (pow y 3))) (+ (* (+ 1 (* 2 y)) (- (* -1 (+ (* 2 (pow y 2)) (pow y 2))) (+ (* -1 (+ 1 (* y (+ 1 y)))) (* (+ 1 (* 2 y)) (- (* -1 (+ y (* 2 y))) (* -1 (+ 1 (* 2 y)))))))) (* (+ 1 (* y (+ 1 y))) (- (* -1 (+ y (* 2 y))) (* -1 (+ 1 (* 2 y))))))) x))) (+ (* -1 (+ 1 (* y (+ 1 y)))) (* (+ 1 (* 2 y)) (- (* -1 (+ y (* 2 y))) (* -1 (+ 1 (* 2 y))))))) x))) (* -1 (+ 1 (* 2 y)))) x)) 1))) |
(/ (+ 1 (pow x 3)) (+ 1 (* x (- x 1)))) |
(+ (* y (- (+ (* -2 (/ (pow x 2) (+ 1 (* x (- x 1))))) (* -1 (/ (pow x 2) (+ 1 (* x (- x 1)))))) (/ (* (+ 1 (pow x 3)) (+ (* -1 x) (* -1 (- x 1)))) (pow (+ 1 (* x (- x 1))) 2)))) (+ (/ 1 (+ 1 (* x (- x 1)))) (/ (pow x 3) (+ 1 (* x (- x 1)))))) |
(+ (* y (- (+ (* -2 (/ (pow x 2) (+ 1 (* x (- x 1))))) (+ (* -1 (/ (pow x 2) (+ 1 (* x (- x 1))))) (* y (- (+ (* 2 (/ x (+ 1 (* x (- x 1))))) (/ x (+ 1 (* x (- x 1))))) (+ (/ 1 (pow (+ 1 (* x (- x 1))) 2)) (+ (/ (* (+ (* -1 x) (* -1 (- x 1))) (- (+ (* -2 (/ (pow x 2) (+ 1 (* x (- x 1))))) (* -1 (/ (pow x 2) (+ 1 (* x (- x 1)))))) (/ (* (+ 1 (pow x 3)) (+ (* -1 x) (* -1 (- x 1)))) (pow (+ 1 (* x (- x 1))) 2)))) (+ 1 (* x (- x 1)))) (/ (pow x 3) (pow (+ 1 (* x (- x 1))) 2)))))))) (/ (* (+ 1 (pow x 3)) (+ (* -1 x) (* -1 (- x 1)))) (pow (+ 1 (* x (- x 1))) 2)))) (+ (/ 1 (+ 1 (* x (- x 1)))) (/ (pow x 3) (+ 1 (* x (- x 1)))))) |
(+ (* y (- (+ (* -2 (/ (pow x 2) (+ 1 (* x (- x 1))))) (+ (* -1 (/ (pow x 2) (+ 1 (* x (- x 1))))) (* y (- (+ (* 2 (/ x (+ 1 (* x (- x 1))))) (+ (* y (- (/ (* (+ 1 (pow x 3)) (+ (* -1 x) (* -1 (- x 1)))) (pow (+ 1 (* x (- x 1))) 3)) (+ (* -2 (/ (pow x 2) (pow (+ 1 (* x (- x 1))) 2))) (+ (* -1 (/ (pow x 2) (pow (+ 1 (* x (- x 1))) 2))) (+ (/ 1 (+ 1 (* x (- x 1)))) (/ (* (+ (* -1 x) (* -1 (- x 1))) (- (+ (* 2 (/ x (+ 1 (* x (- x 1))))) (/ x (+ 1 (* x (- x 1))))) (+ (/ 1 (pow (+ 1 (* x (- x 1))) 2)) (+ (/ (* (+ (* -1 x) (* -1 (- x 1))) (- (+ (* -2 (/ (pow x 2) (+ 1 (* x (- x 1))))) (* -1 (/ (pow x 2) (+ 1 (* x (- x 1)))))) (/ (* (+ 1 (pow x 3)) (+ (* -1 x) (* -1 (- x 1)))) (pow (+ 1 (* x (- x 1))) 2)))) (+ 1 (* x (- x 1)))) (/ (pow x 3) (pow (+ 1 (* x (- x 1))) 2)))))) (+ 1 (* x (- x 1))))))))) (/ x (+ 1 (* x (- x 1)))))) (+ (/ 1 (pow (+ 1 (* x (- x 1))) 2)) (+ (/ (* (+ (* -1 x) (* -1 (- x 1))) (- (+ (* -2 (/ (pow x 2) (+ 1 (* x (- x 1))))) (* -1 (/ (pow x 2) (+ 1 (* x (- x 1)))))) (/ (* (+ 1 (pow x 3)) (+ (* -1 x) (* -1 (- x 1)))) (pow (+ 1 (* x (- x 1))) 2)))) (+ 1 (* x (- x 1)))) (/ (pow x 3) (pow (+ 1 (* x (- x 1))) 2)))))))) (/ (* (+ 1 (pow x 3)) (+ (* -1 x) (* -1 (- x 1)))) (pow (+ 1 (* x (- x 1))) 2)))) (+ (/ 1 (+ 1 (* x (- x 1)))) (/ (pow x 3) (+ 1 (* x (- x 1)))))) |
(* -1 y) |
(* y (- (+ (* 2 (/ x y)) (/ x y)) (+ 1 (* -1 (/ (+ (* -1 x) (* -1 (- x 1))) y))))) |
(* y (- (+ (* -2 (/ (pow x 2) (pow y 2))) (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (* 2 (/ x y)) (/ x y)))) (+ 1 (+ (* -1 (/ (+ 1 (* x (- x 1))) (pow y 2))) (+ (* -1 (/ (+ (* -1 x) (* -1 (- x 1))) y)) (/ (* (+ (* -1 x) (* -1 (- x 1))) (- (+ x (* 2 x)) (* -1 (+ (* -1 x) (* -1 (- x 1)))))) (pow y 2))))))) |
(* y (- (+ (* -2 (/ (pow x 2) (pow y 2))) (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (* 2 (/ x y)) (+ (/ 1 (pow y 3)) (+ (/ x y) (/ (pow x 3) (pow y 3))))))) (+ 1 (+ (* -1 (/ (+ 1 (* x (- x 1))) (pow y 2))) (+ (* -1 (/ (+ (* -1 x) (* -1 (- x 1))) y)) (+ (/ (* (+ 1 (* x (- x 1))) (- (+ x (* 2 x)) (* -1 (+ (* -1 x) (* -1 (- x 1)))))) (pow y 3)) (+ (/ (* (+ (* -1 x) (* -1 (- x 1))) (- (+ x (* 2 x)) (* -1 (+ (* -1 x) (* -1 (- x 1)))))) (pow y 2)) (/ (* (+ (* -1 x) (* -1 (- x 1))) (- (+ (* -2 (pow x 2)) (* -1 (pow x 2))) (+ (* -1 (+ 1 (* x (- x 1)))) (* (+ (* -1 x) (* -1 (- x 1))) (- (+ x (* 2 x)) (* -1 (+ (* -1 x) (* -1 (- x 1))))))))) (pow y 3))))))))) |
(* -1 y) |
(* -1 (* y (+ 1 (* -1 (/ (+ 1 x) y))))) |
(* -1 (* y (+ 1 (* -1 (/ (+ 1 (+ x (* -1 (/ (- (+ (* 2 (pow x 2)) (pow x 2)) (+ 1 (+ (* x (- x 1)) (* (+ 1 x) (- (* 2 x) 1))))) y)))) y))))) |
(* -1 (* y (+ 1 (* -1 (/ (+ 1 (+ x (* -1 (/ (- (+ (* -1 (/ (- (+ 1 (pow x 3)) (+ (* (+ 1 x) (+ 1 (* x (- x 1)))) (* (- (* 2 x) 1) (- (+ (* 2 (pow x 2)) (pow x 2)) (+ 1 (+ (* x (- x 1)) (* (+ 1 x) (- (* 2 x) 1)))))))) y)) (+ (* 2 (pow x 2)) (pow x 2))) (+ 1 (+ (* x (- x 1)) (* (+ 1 x) (- (* 2 x) 1))))) y)))) y))))) |
(+ 1 (* -1 (pow y 3))) |
(+ 1 (+ (* -1 (pow y 3)) (* x (+ (* 2 (pow y 2)) (pow y 2))))) |
(+ 1 (+ (* -1 (pow y 3)) (* x (+ (* 2 (pow y 2)) (+ (* x (+ (* -2 y) (* -1 y))) (pow y 2)))))) |
(+ 1 (+ (* -1 (pow y 3)) (* x (+ (* 2 (pow y 2)) (+ (* x (+ x (+ (* -2 y) (* -1 y)))) (pow y 2)))))) |
(pow x 3) |
(* (pow x 3) (+ 1 (+ (* -2 (/ y x)) (* -1 (/ y x))))) |
(* (pow x 3) (+ 1 (+ (* -2 (/ y x)) (+ (* -1 (/ y x)) (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))))) |
(* (pow x 3) (+ 1 (+ (* -2 (/ y x)) (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 3) (pow x 3))) (+ (* 2 (/ (pow y 2) (pow x 2))) (+ (/ 1 (pow x 3)) (/ (pow y 2) (pow x 2))))))))) |
(pow x 3) |
(* -1 (* (pow x 3) (- (+ (* 2 (/ y x)) (/ y x)) 1))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ (* -1 (+ y (* 2 y))) (+ (* 2 (/ (pow y 2) x)) (/ (pow y 2) x))) x)) 1))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ (* -1 (+ y (* 2 y))) (* -1 (/ (+ (* -1 (+ (* 2 (pow y 2)) (pow y 2))) (* -1 (/ (+ 1 (* -1 (pow y 3))) x))) x))) x)) 1))) |
(+ 1 (pow x 3)) |
(+ 1 (+ (* y (+ (* -2 (pow x 2)) (* -1 (pow x 2)))) (pow x 3))) |
(+ 1 (+ (* y (+ (* -2 (pow x 2)) (+ (* -1 (pow x 2)) (* y (+ x (* 2 x)))))) (pow x 3))) |
(+ 1 (+ (* y (+ (* -2 (pow x 2)) (+ (* -1 (pow x 2)) (* y (+ x (+ (* -1 y) (* 2 x))))))) (pow x 3))) |
(* -1 (pow y 3)) |
(* (pow y 3) (- (+ (* 2 (/ x y)) (/ x y)) 1)) |
(* (pow y 3) (- (+ (* -2 (/ (pow x 2) (pow y 2))) (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (* 2 (/ x y)) (/ x y)))) 1)) |
(* (pow y 3) (- (+ (* -2 (/ (pow x 2) (pow y 2))) (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (* 2 (/ x y)) (+ (/ 1 (pow y 3)) (+ (/ x y) (/ (pow x 3) (pow y 3))))))) 1)) |
(* -1 (pow y 3)) |
(* -1 (* (pow y 3) (+ 1 (* -1 (/ (+ x (* 2 x)) y))))) |
(* -1 (* (pow y 3) (+ 1 (* -1 (/ (+ x (+ (* -1 (/ (+ (* 2 (pow x 2)) (pow x 2)) y)) (* 2 x))) y))))) |
(* -1 (* (pow y 3) (+ 1 (* -1 (/ (+ x (+ (* -1 (/ (+ (* -1 (/ (+ 1 (pow x 3)) y)) (+ (* 2 (pow x 2)) (pow x 2))) y)) (* 2 x))) y))))) |
(* -1 y) |
(- x y) |
(- x y) |
(- x y) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
(* x (+ 1 (* -1 (/ y x)))) |
(* x (+ 1 (* -1 (/ y x)))) |
x |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (- (/ y x) 1))) |
x |
(+ x (* -1 y)) |
(+ x (* -1 y)) |
(+ x (* -1 y)) |
(* -1 y) |
(* y (- (/ x y) 1)) |
(* y (- (/ x y) 1)) |
(* y (- (/ x y) 1)) |
(* -1 y) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(pow y 2) |
(+ (* -2 (* x y)) (pow y 2)) |
(+ (* x (+ x (* -2 y))) (pow y 2)) |
(+ (* x (+ x (* -2 y))) (pow y 2)) |
(pow x 2) |
(* (pow x 2) (+ 1 (* -2 (/ y x)))) |
(* (pow x 2) (+ 1 (+ (* -2 (/ y x)) (/ (pow y 2) (pow x 2))))) |
(* (pow x 2) (+ 1 (+ (* -2 (/ y x)) (/ (pow y 2) (pow x 2))))) |
(pow x 2) |
(* (pow x 2) (+ 1 (* -2 (/ y x)))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (/ (pow y 2) x)) (* 2 y)) x)))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (/ (pow y 2) x)) (* 2 y)) x)))) |
(pow x 2) |
(+ (* -2 (* x y)) (pow x 2)) |
(+ (* y (+ y (* -2 x))) (pow x 2)) |
(+ (* y (+ y (* -2 x))) (pow x 2)) |
(pow y 2) |
(* (pow y 2) (+ 1 (* -2 (/ x y)))) |
(* (pow y 2) (+ 1 (+ (* -2 (/ x y)) (/ (pow x 2) (pow y 2))))) |
(* (pow y 2) (+ 1 (+ (* -2 (/ x y)) (/ (pow x 2) (pow y 2))))) |
(pow y 2) |
(* (pow y 2) (+ 1 (* -2 (/ x y)))) |
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -1 (/ (pow x 2) y)) (* 2 x)) y)))) |
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -1 (/ (pow x 2) y)) (* 2 x)) y)))) |
(- 1 (+ (log x) (log (/ 1 y)))) |
(- 1 (+ (log x) (log (/ 1 y)))) |
(- 1 (+ (log x) (log (/ 1 y)))) |
(- 1 (+ (log x) (log (/ 1 y)))) |
(- 1 (+ (log (/ 1 y)) (* -1 (log (/ 1 x))))) |
(- 1 (+ (log (/ 1 y)) (* -1 (log (/ 1 x))))) |
(- 1 (+ (log (/ 1 y)) (* -1 (log (/ 1 x))))) |
(- 1 (+ (log (/ 1 y)) (* -1 (log (/ 1 x))))) |
(- 1 (+ (log (/ -1 y)) (* -1 (log (/ -1 x))))) |
(- 1 (+ (log (/ -1 y)) (* -1 (log (/ -1 x))))) |
(- 1 (+ (log (/ -1 y)) (* -1 (log (/ -1 x))))) |
(- 1 (+ (log (/ -1 y)) (* -1 (log (/ -1 x))))) |
(- 1 (+ (log x) (* -1 (log y)))) |
(- 1 (+ (log x) (* -1 (log y)))) |
(- 1 (+ (log x) (* -1 (log y)))) |
(- 1 (+ (log x) (* -1 (log y)))) |
(- 1 (+ (log x) (log (/ 1 y)))) |
(- 1 (+ (log x) (log (/ 1 y)))) |
(- 1 (+ (log x) (log (/ 1 y)))) |
(- 1 (+ (log x) (log (/ 1 y)))) |
(- 1 (+ (log (* -1 x)) (log (/ -1 y)))) |
(- 1 (+ (log (* -1 x)) (log (/ -1 y)))) |
(- 1 (+ (log (* -1 x)) (log (/ -1 y)))) |
(- 1 (+ (log (* -1 x)) (log (/ -1 y)))) |
(+ (log x) (log (/ 1 y))) |
(+ (log x) (log (/ 1 y))) |
(+ (log x) (log (/ 1 y))) |
(+ (log x) (log (/ 1 y))) |
(+ (log (/ 1 y)) (* -1 (log (/ 1 x)))) |
(+ (log (/ 1 y)) (* -1 (log (/ 1 x)))) |
(+ (log (/ 1 y)) (* -1 (log (/ 1 x)))) |
(+ (log (/ 1 y)) (* -1 (log (/ 1 x)))) |
(+ (log (/ -1 y)) (* -1 (log (/ -1 x)))) |
(+ (log (/ -1 y)) (* -1 (log (/ -1 x)))) |
(+ (log (/ -1 y)) (* -1 (log (/ -1 x)))) |
(+ (log (/ -1 y)) (* -1 (log (/ -1 x)))) |
(+ (log x) (* -1 (log y))) |
(+ (log x) (* -1 (log y))) |
(+ (log x) (* -1 (log y))) |
(+ (log x) (* -1 (log y))) |
(+ (log x) (log (/ 1 y))) |
(+ (log x) (log (/ 1 y))) |
(+ (log x) (log (/ 1 y))) |
(+ (log x) (log (/ 1 y))) |
(+ (log (* -1 x)) (log (/ -1 y))) |
(+ (log (* -1 x)) (log (/ -1 y))) |
(+ (log (* -1 x)) (log (/ -1 y))) |
(+ (log (* -1 x)) (log (/ -1 y))) |
(* -1 (/ y (- y 1))) |
(+ (* -1 (/ y (- y 1))) (/ x (- y 1))) |
(+ (* -1 (/ y (- y 1))) (/ x (- y 1))) |
(+ (* -1 (/ y (- y 1))) (/ x (- y 1))) |
(/ x (- y 1)) |
(* x (+ (* -1 (/ y (* x (- y 1)))) (/ 1 (- y 1)))) |
(* x (+ (* -1 (/ y (* x (- y 1)))) (/ 1 (- y 1)))) |
(* x (+ (* -1 (/ y (* x (- y 1)))) (/ 1 (- y 1)))) |
(/ x (- y 1)) |
(* -1 (* x (- (/ y (* x (- y 1))) (/ 1 (- y 1))))) |
(* -1 (* x (- (/ y (* x (- y 1))) (/ 1 (- y 1))))) |
(* -1 (* x (- (/ y (* x (- y 1))) (/ 1 (- y 1))))) |
(* -1 x) |
(+ (* -1 x) (* y (- 1 x))) |
(+ (* -1 x) (* y (- (+ 1 (* y (- 1 x))) x))) |
(+ (* -1 x) (* y (- (+ 1 (* y (- (* y (- 1 x)) (* -1 (- 1 x))))) x))) |
-1 |
(- (/ x y) (+ 1 (/ 1 y))) |
(- (+ (/ x y) (/ x (pow y 2))) (+ 1 (+ (/ 1 y) (/ 1 (pow y 2))))) |
(- (+ (/ x y) (/ x (pow y 3))) (+ 1 (+ (* -1 (/ (- x 1) (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3)))))) |
-1 |
(- (/ x y) (+ 1 (/ 1 y))) |
(- (* -1 (/ (- (+ (* -1 (- x 1)) (/ 1 y)) (/ x y)) y)) 1) |
(- (* -1 (/ (+ (* -1 (- x 1)) (* -1 (/ (- (+ (* -1 (- 1 x)) (/ x y)) (/ 1 y)) y))) y)) 1) |
(+ 1 (* y (+ 1 y))) |
(+ 1 (+ (* x (+ (* -1 y) (* -1 (+ 1 y)))) (* y (+ 1 y)))) |
(+ 1 (+ (* x (+ x (+ (* -1 y) (* -1 (+ 1 y))))) (* y (+ 1 y)))) |
(+ 1 (+ (* x (+ x (+ (* -1 y) (* -1 (+ 1 y))))) (* y (+ 1 y)))) |
(pow x 2) |
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (* -1 (/ (+ 1 y) x))))) |
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (+ 1 y) x)) (+ (/ 1 (pow x 2)) (/ (* y (+ 1 y)) (pow x 2))))))) |
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (+ 1 y) x)) (+ (/ 1 (pow x 2)) (/ (* y (+ 1 y)) (pow x 2))))))) |
(pow x 2) |
(* (pow x 2) (+ 1 (* -1 (/ (+ 1 (* 2 y)) x)))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ 1 (+ (* -1 (/ (+ 1 (* y (+ 1 y))) x)) (* 2 y))) x)))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ 1 (+ (* -1 (/ (+ 1 (* y (+ 1 y))) x)) (* 2 y))) x)))) |
(+ 1 (* x (- x 1))) |
(+ 1 (+ (* x (- x 1)) (* y (+ (* -1 x) (* -1 (- x 1)))))) |
(+ 1 (+ (* x (- x 1)) (* y (+ y (+ (* -1 x) (* -1 (- x 1))))))) |
(+ 1 (+ (* x (- x 1)) (* y (+ y (+ (* -1 x) (* -1 (- x 1))))))) |
(pow y 2) |
(* (pow y 2) (+ 1 (+ (* -1 (/ x y)) (* -1 (/ (- x 1) y))))) |
(* (pow y 2) (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ (- x 1) y)) (+ (/ 1 (pow y 2)) (/ (* x (- x 1)) (pow y 2))))))) |
(* (pow y 2) (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ (- x 1) y)) (+ (/ 1 (pow y 2)) (/ (* x (- x 1)) (pow y 2))))))) |
(pow y 2) |
(* (pow y 2) (+ 1 (* -1 (/ (- (* 2 x) 1) y)))) |
(* (pow y 2) (+ 1 (* -1 (/ (- (+ (* -1 (/ (+ 1 (* x (- x 1))) y)) (* 2 x)) 1) y)))) |
(* (pow y 2) (+ 1 (* -1 (/ (- (+ (* -1 (/ (+ 1 (* x (- x 1))) y)) (* 2 x)) 1) y)))) |
| Outputs |
|---|
(- 1 (log (- 1 (/ y (- y 1))))) |
(-.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 (/.f64 y (+.f64 y #s(literal -1 binary64)))))) |
(- (+ 1 (* -1 (/ x (* (- 1 (/ y (- y 1))) (- y 1))))) (log (- 1 (/ y (- y 1))))) |
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (+.f64 y #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal -1 binary64))))))) (log1p.f64 (neg.f64 (/.f64 y (+.f64 y #s(literal -1 binary64)))))) |
(- (+ 1 (* x (- (* 1/2 (/ x (* (pow (- 1 (/ y (- y 1))) 2) (pow (- y 1) 2)))) (/ 1 (* (- 1 (/ y (- y 1))) (- y 1)))))) (log (- 1 (/ y (- y 1))))) |
(-.f64 (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 (*.f64 (+.f64 y #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal -1 binary64))))) (*.f64 (+.f64 y #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal -1 binary64))))))) (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 y #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal -1 binary64))))))) #s(literal 1 binary64)) (log1p.f64 (neg.f64 (/.f64 y (+.f64 y #s(literal -1 binary64)))))) |
(- (+ 1 (* x (- (* x (+ (* -1/3 (/ x (* (pow (- 1 (/ y (- y 1))) 3) (pow (- y 1) 3)))) (* 1/2 (/ 1 (* (pow (- 1 (/ y (- y 1))) 2) (pow (- y 1) 2)))))) (/ 1 (* (- 1 (/ y (- y 1))) (- y 1)))))) (log (- 1 (/ y (- y 1))))) |
(-.f64 (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/3 binary64) (/.f64 x (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal -1 binary64))))) (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal -1 binary64))))) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64)))))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (+.f64 y #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal -1 binary64))))) (*.f64 (+.f64 y #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal -1 binary64)))))))) (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 y #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal -1 binary64))))))) #s(literal 1 binary64)) (log1p.f64 (neg.f64 (/.f64 y (+.f64 y #s(literal -1 binary64)))))) |
(- 1 (+ (log (/ 1 (- y 1))) (* -1 (log (/ 1 x))))) |
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(- x y) |
(-.f64 x y) |
(- x y) |
(-.f64 x y) |
x |
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(fma.f64 x (/.f64 y (neg.f64 x)) x) |
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(fma.f64 x (/.f64 y (neg.f64 x)) x) |
x |
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(* -1 (* x (- (/ y x) 1))) |
(neg.f64 (fma.f64 x (/.f64 y x) (neg.f64 x))) |
x |
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(-.f64 x y) |
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(fma.f64 y (/.f64 x y) (neg.f64 y)) |
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(fma.f64 y (/.f64 x y) (neg.f64 y)) |
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(* -1 (* y (+ 1 (* -1 (/ x y))))) |
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(pow x 2) |
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(*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 y #s(literal 2 binary64)) (/.f64 (*.f64 y y) x)) x))) |
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(pow x 2) |
(*.f64 x x) |
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(pow y 2) |
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(-.f64 (log.f64 x) (log.f64 y)) |
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(-.f64 (log.f64 x) (log.f64 y)) |
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(* -1 x) |
(neg.f64 x) |
(+ (* -1 x) (* y (- 1 x))) |
(fma.f64 y (-.f64 #s(literal 1 binary64) x) (neg.f64 x)) |
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-1 |
#s(literal -1 binary64) |
(- (/ x y) (+ 1 (/ 1 y))) |
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-1 |
#s(literal -1 binary64) |
(- (/ x y) (+ 1 (/ 1 y))) |
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(- (* -1 (/ (- (+ (* -1 (- x 1)) (/ 1 y)) (/ x y)) y)) 1) |
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(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (* -1 (/ (+ 1 y) x))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (-.f64 #s(literal -1 binary64) y) x) (/.f64 y x)))) |
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(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (+ 1 y) x)) (+ (/ 1 (pow x 2)) (/ (* y (+ 1 y)) (pow x 2))))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (+.f64 (-.f64 (/.f64 (-.f64 #s(literal -1 binary64) y) x) (/.f64 y x)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (fma.f64 y y y) (*.f64 x x)))))) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (* -1 (/ (+ 1 (* 2 y)) x)))) |
(*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal 1 binary64)) x))) |
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(pow y 2) |
(*.f64 y y) |
(* (pow y 2) (+ 1 (* -1 (/ (- (* 2 x) 1) y)))) |
(*.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64)) y))) |
(* (pow y 2) (+ 1 (* -1 (/ (- (+ (* -1 (/ (+ 1 (* x (- x 1))) y)) (* 2 x)) 1) y)))) |
(*.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (neg.f64 y)) (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64))) y))) |
(* (pow y 2) (+ 1 (* -1 (/ (- (+ (* -1 (/ (+ 1 (* x (- x 1))) y)) (* 2 x)) 1) y)))) |
(*.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (neg.f64 y)) (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64))) y))) |
Compiled 37 746 to 3 595 computations (90.5% saved)
40 alts after pruning (30 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 222 | 12 | 1 234 |
| Fresh | 1 | 18 | 19 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 7 | 7 |
| Total | 1 225 | 40 | 1 265 |
| Status | Accuracy | Program |
|---|---|---|
| 36.5% | (fma.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) y (+.f64 #s(literal 1 binary64) x)) | |
| 37.4% | (fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (neg.f64 y)) | |
| 22.4% | (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) | |
| 22.0% | (fma.f64 y (fma.f64 y (+.f64 (/.f64 x (*.f64 y y)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) | |
| 35.6% | (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) | |
| 21.6% | (fma.f64 x (/.f64 (log.f64 (neg.f64 y)) x) (+.f64 #s(literal 1 binary64) x)) | |
| 37.1% | (/.f64 (fma.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (+.f64 #s(literal 0 binary64) y) (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 y y)))) (*.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 0 binary64) y))) | |
| 29.1% | (/.f64 (fma.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y)) #s(literal 1 binary64)) (fma.f64 (-.f64 x y) (-.f64 (*.f64 (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 x y) (*.f64 x x)))) #s(literal 1 binary64)) #s(literal 1 binary64))) | |
| 36.0% | (/.f64 (fma.f64 (-.f64 x y) (*.f64 (*.f64 y y) (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 1 binary64))) #s(literal 1 binary64)) (fma.f64 (-.f64 x y) (-.f64 (-.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64))) | |
| 36.2% | (/.f64 (fma.f64 (-.f64 x y) (*.f64 y (fma.f64 x #s(literal -2 binary64) y)) #s(literal 1 binary64)) (fma.f64 (-.f64 x y) (-.f64 (-.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64))) | |
| 38.0% | (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) | |
| 36.2% | (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) (*.f64 y y) (fma.f64 x (*.f64 y #s(literal -3 binary64)) (*.f64 y y)))) (*.f64 y (*.f64 y y)))) (fma.f64 (-.f64 x y) (-.f64 (-.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64))) | |
| 2.3% | (/.f64 (neg.f64 (*.f64 (*.f64 y (*.f64 y y)) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 x (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x x)) y)) (*.f64 x #s(literal 2 binary64))) y)))) (fma.f64 (-.f64 x y) (-.f64 (-.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64))) | |
| 2.9% | (/.f64 (neg.f64 (*.f64 y (*.f64 y y))) (fma.f64 (-.f64 x y) (-.f64 (-.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64))) | |
| 3.8% | (/.f64 x (neg.f64 y)) | |
| 36.5% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (neg.f64 y) (+.f64 y #s(literal -1 binary64))))))) | |
| ✓ | 58.7% | (-.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 x))) |
| 9.0% | (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) (log1p.f64 (neg.f64 x))) | |
| 10.2% | (-.f64 (neg.f64 y) (log1p.f64 (neg.f64 x))) | |
| ✓ | 22.4% | (-.f64 #s(literal 1 binary64) (/.f64 x y)) |
| ✓ | 69.9% | (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) |
| 36.6% | (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)))) | |
| ✓ | 71.0% | (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))))) |
| ✓ | 60.3% | (-.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x))) |
| 41.3% | (-.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal -1 binary64) (+.f64 x (/.f64 (+.f64 #s(literal -1 binary64) x) y))) y))) | |
| ✓ | 42.9% | (-.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y))) |
| ✓ | 23.6% | (-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x y))) |
| 36.5% | (-.f64 #s(literal 1 binary64) y) | |
| 21.6% | (+.f64 (+.f64 x (log.f64 (neg.f64 y))) #s(literal 1 binary64)) | |
| 37.3% | (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (+.f64 x y))) | |
| 37.5% | (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 x y) y) y)) | |
| ✓ | 37.5% | (+.f64 #s(literal 1 binary64) (-.f64 x y)) |
| 24.3% | (+.f64 #s(literal 1 binary64) (log.f64 (neg.f64 y))) | |
| 38.8% | (+.f64 #s(literal 1 binary64) x) | |
| 68.7% | (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) #s(literal 3 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) #s(literal 1 binary64)))) | |
| 3.0% | (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))) | |
| 37.0% | (*.f64 y (-.f64 (*.f64 #s(literal 3 binary64) (/.f64 x y)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) x) y)))) | |
| 2.9% | (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) | |
| ✓ | 4.1% | (neg.f64 y) |
| ✓ | 38.8% | #s(literal 1 binary64) |
Compiled 1 213 to 519 computations (57.2% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
(neg.f64 y) |
(+.f64 #s(literal 1 binary64) x) |
(-.f64 #s(literal 1 binary64) y) |
(+.f64 #s(literal 1 binary64) (-.f64 x y)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 y y)) |
(*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))) |
(fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(/.f64 x (neg.f64 y)) |
(-.f64 #s(literal 1 binary64) (/.f64 x y)) |
(+.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) x)) |
(fma.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) y (+.f64 #s(literal 1 binary64) x)) |
(-.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (neg.f64 x)) |
(fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 x y) y) y)) |
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (+.f64 x y))) |
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (neg.f64 y)) |
(/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) |
(fma.f64 y (fma.f64 y (+.f64 (/.f64 x (*.f64 y y)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (*.f64 y (*.f64 y y))) (fma.f64 (-.f64 x y) (-.f64 (-.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 y (-.f64 (*.f64 #s(literal 3 binary64) (/.f64 x y)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) x) y)))) |
(/.f64 (fma.f64 (-.f64 x y) (*.f64 y (fma.f64 x #s(literal -2 binary64) y)) #s(literal 1 binary64)) (fma.f64 (-.f64 x y) (-.f64 (-.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (fma.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y)) #s(literal 1 binary64)) (fma.f64 (-.f64 x y) (-.f64 (-.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 (+.f64 #s(literal -1 binary64) y) (+.f64 #s(literal -1 binary64) y))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) |
(/.f64 (fma.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (+.f64 #s(literal 0 binary64) y) (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 y y)))) (*.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 0 binary64) y))) |
(/.f64 (fma.f64 (-.f64 x y) (*.f64 (*.f64 y y) (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 1 binary64))) #s(literal 1 binary64)) (fma.f64 (-.f64 x y) (-.f64 (-.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) (*.f64 y y) (fma.f64 x (*.f64 y #s(literal -3 binary64)) (*.f64 y y)))) (*.f64 y (*.f64 y y)))) (fma.f64 (-.f64 x y) (-.f64 (-.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (neg.f64 (*.f64 (*.f64 y (*.f64 y y)) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 x (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x x)) y)) (*.f64 x #s(literal 2 binary64))) y)))) (fma.f64 (-.f64 x y) (-.f64 (-.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (fma.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y)) #s(literal 1 binary64)) (fma.f64 (-.f64 x y) (-.f64 (*.f64 (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 x y) (*.f64 x x)))) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(+.f64 #s(literal 1 binary64) (log.f64 (neg.f64 y))) |
(-.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x))) |
(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)))) |
(-.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (neg.f64 y)))) |
(-.f64 (neg.f64 y) (log1p.f64 (neg.f64 x))) |
(+.f64 (+.f64 x (log.f64 (neg.f64 y))) #s(literal 1 binary64)) |
(-.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 x))) |
(-.f64 (+.f64 #s(literal 1 binary64) x) (neg.f64 (log.f64 (neg.f64 y)))) |
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x y))) |
(-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) (log1p.f64 (neg.f64 x))) |
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))))) |
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y))) |
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))))) |
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)))) |
(-.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (log1p.f64 (neg.f64 x))) |
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) |
(fma.f64 x (/.f64 (log.f64 (neg.f64 y)) x) (+.f64 #s(literal 1 binary64) x)) |
(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) |
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal -1 binary64) (+.f64 x (/.f64 (+.f64 #s(literal -1 binary64) x) y))) y))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (neg.f64 y) (+.f64 y #s(literal -1 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log.f64 (/.f64 y (+.f64 x #s(literal -1 binary64)))) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (log.f64 (/.f64 y (+.f64 x #s(literal -1 binary64)))))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) #s(literal 3 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) #s(literal 1 binary64)))) |
| Outputs |
|---|
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) |
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal -1 binary64) (+.f64 x (/.f64 (+.f64 #s(literal -1 binary64) x) y))) y))) |
6 calls:
| 32.0ms | x |
| 25.0ms | (-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) |
| 19.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| 14.0ms | y |
| 12.0ms | (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 82.5% | 3 | x |
| 100.0% | 3 | y |
| 100.0% | 2 | (-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) |
| 100.0% | 2 | (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))) |
| 100.0% | 2 | (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) |
| 100.0% | 2 | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
Compiled 52 to 34 computations (34.6% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
(neg.f64 y) |
(+.f64 #s(literal 1 binary64) x) |
(-.f64 #s(literal 1 binary64) y) |
(+.f64 #s(literal 1 binary64) (-.f64 x y)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 y y)) |
(*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))) |
(fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(/.f64 x (neg.f64 y)) |
(-.f64 #s(literal 1 binary64) (/.f64 x y)) |
(+.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) x)) |
(fma.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) y (+.f64 #s(literal 1 binary64) x)) |
(-.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (neg.f64 x)) |
(fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 x y) y) y)) |
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (+.f64 x y))) |
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (neg.f64 y)) |
(/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) |
(fma.f64 y (fma.f64 y (+.f64 (/.f64 x (*.f64 y y)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (*.f64 y (*.f64 y y))) (fma.f64 (-.f64 x y) (-.f64 (-.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 y (-.f64 (*.f64 #s(literal 3 binary64) (/.f64 x y)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) x) y)))) |
(/.f64 (fma.f64 (-.f64 x y) (*.f64 y (fma.f64 x #s(literal -2 binary64) y)) #s(literal 1 binary64)) (fma.f64 (-.f64 x y) (-.f64 (-.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (fma.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y)) #s(literal 1 binary64)) (fma.f64 (-.f64 x y) (-.f64 (-.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 (+.f64 #s(literal -1 binary64) y) (+.f64 #s(literal -1 binary64) y))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) |
(/.f64 (fma.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (+.f64 #s(literal 0 binary64) y) (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 y y)))) (*.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 0 binary64) y))) |
(/.f64 (fma.f64 (-.f64 x y) (*.f64 (*.f64 y y) (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 1 binary64))) #s(literal 1 binary64)) (fma.f64 (-.f64 x y) (-.f64 (-.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) (*.f64 y y) (fma.f64 x (*.f64 y #s(literal -3 binary64)) (*.f64 y y)))) (*.f64 y (*.f64 y y)))) (fma.f64 (-.f64 x y) (-.f64 (-.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (neg.f64 (*.f64 (*.f64 y (*.f64 y y)) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 x (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x x)) y)) (*.f64 x #s(literal 2 binary64))) y)))) (fma.f64 (-.f64 x y) (-.f64 (-.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (fma.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y)) #s(literal 1 binary64)) (fma.f64 (-.f64 x y) (-.f64 (*.f64 (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 x y) (*.f64 x x)))) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(+.f64 #s(literal 1 binary64) (log.f64 (neg.f64 y))) |
(-.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x))) |
(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)))) |
(-.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (neg.f64 y)))) |
(-.f64 (neg.f64 y) (log1p.f64 (neg.f64 x))) |
(+.f64 (+.f64 x (log.f64 (neg.f64 y))) #s(literal 1 binary64)) |
(-.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 x))) |
(-.f64 (+.f64 #s(literal 1 binary64) x) (neg.f64 (log.f64 (neg.f64 y)))) |
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x y))) |
(-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) (log1p.f64 (neg.f64 x))) |
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))))) |
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y))) |
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))))) |
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)))) |
(-.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (log1p.f64 (neg.f64 x))) |
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) |
(fma.f64 x (/.f64 (log.f64 (neg.f64 y)) x) (+.f64 #s(literal 1 binary64) x)) |
(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) |
| Outputs |
|---|
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) |
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y))) |
4 calls:
| 15.0ms | (-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) |
| 13.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| 12.0ms | (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) |
| 11.0ms | (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 2 | (-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) |
| 99.9% | 2 | (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))) |
| 99.9% | 2 | (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) |
| 99.9% | 2 | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
Compiled 46 to 30 computations (34.8% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
(neg.f64 y) |
(+.f64 #s(literal 1 binary64) x) |
(-.f64 #s(literal 1 binary64) y) |
(+.f64 #s(literal 1 binary64) (-.f64 x y)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 y y)) |
(*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))) |
(fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(/.f64 x (neg.f64 y)) |
(-.f64 #s(literal 1 binary64) (/.f64 x y)) |
(+.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) x)) |
(fma.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) y (+.f64 #s(literal 1 binary64) x)) |
(-.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (neg.f64 x)) |
(fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 x y) y) y)) |
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (+.f64 x y))) |
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (neg.f64 y)) |
(/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) |
(fma.f64 y (fma.f64 y (+.f64 (/.f64 x (*.f64 y y)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (*.f64 y (*.f64 y y))) (fma.f64 (-.f64 x y) (-.f64 (-.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 y (-.f64 (*.f64 #s(literal 3 binary64) (/.f64 x y)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) x) y)))) |
(/.f64 (fma.f64 (-.f64 x y) (*.f64 y (fma.f64 x #s(literal -2 binary64) y)) #s(literal 1 binary64)) (fma.f64 (-.f64 x y) (-.f64 (-.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (fma.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y)) #s(literal 1 binary64)) (fma.f64 (-.f64 x y) (-.f64 (-.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 (+.f64 #s(literal -1 binary64) y) (+.f64 #s(literal -1 binary64) y))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) |
(/.f64 (fma.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (+.f64 #s(literal 0 binary64) y) (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 y y)))) (*.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 0 binary64) y))) |
(/.f64 (fma.f64 (-.f64 x y) (*.f64 (*.f64 y y) (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 1 binary64))) #s(literal 1 binary64)) (fma.f64 (-.f64 x y) (-.f64 (-.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) (*.f64 y y) (fma.f64 x (*.f64 y #s(literal -3 binary64)) (*.f64 y y)))) (*.f64 y (*.f64 y y)))) (fma.f64 (-.f64 x y) (-.f64 (-.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (neg.f64 (*.f64 (*.f64 y (*.f64 y y)) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 x (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x x)) y)) (*.f64 x #s(literal 2 binary64))) y)))) (fma.f64 (-.f64 x y) (-.f64 (-.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (fma.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y)) #s(literal 1 binary64)) (fma.f64 (-.f64 x y) (-.f64 (*.f64 (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 x y) (*.f64 x x)))) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(+.f64 #s(literal 1 binary64) (log.f64 (neg.f64 y))) |
(-.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x))) |
(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)))) |
(-.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (neg.f64 y)))) |
(-.f64 (neg.f64 y) (log1p.f64 (neg.f64 x))) |
(+.f64 (+.f64 x (log.f64 (neg.f64 y))) #s(literal 1 binary64)) |
(-.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 x))) |
(-.f64 (+.f64 #s(literal 1 binary64) x) (neg.f64 (log.f64 (neg.f64 y)))) |
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x y))) |
(-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) (log1p.f64 (neg.f64 x))) |
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))))) |
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y))) |
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))))) |
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)))) |
(-.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (log1p.f64 (neg.f64 x))) |
| Outputs |
|---|
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))))) |
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y))) |
4 calls:
| 13.0ms | (-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) |
| 12.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| 11.0ms | (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) |
| 10.0ms | (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.5% | 2 | (-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) |
| 98.5% | 2 | (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))) |
| 98.5% | 2 | (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) |
| 98.5% | 2 | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
Compiled 46 to 30 computations (34.8% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
(neg.f64 y) |
(+.f64 #s(literal 1 binary64) x) |
(-.f64 #s(literal 1 binary64) y) |
(+.f64 #s(literal 1 binary64) (-.f64 x y)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 y y)) |
(*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))) |
(fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(/.f64 x (neg.f64 y)) |
(-.f64 #s(literal 1 binary64) (/.f64 x y)) |
(+.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) x)) |
(fma.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) y (+.f64 #s(literal 1 binary64) x)) |
(-.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (neg.f64 x)) |
(fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 x y) y) y)) |
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (+.f64 x y))) |
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (neg.f64 y)) |
(/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) |
(fma.f64 y (fma.f64 y (+.f64 (/.f64 x (*.f64 y y)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (*.f64 y (*.f64 y y))) (fma.f64 (-.f64 x y) (-.f64 (-.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 y (-.f64 (*.f64 #s(literal 3 binary64) (/.f64 x y)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) x) y)))) |
(/.f64 (fma.f64 (-.f64 x y) (*.f64 y (fma.f64 x #s(literal -2 binary64) y)) #s(literal 1 binary64)) (fma.f64 (-.f64 x y) (-.f64 (-.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (fma.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y)) #s(literal 1 binary64)) (fma.f64 (-.f64 x y) (-.f64 (-.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 (+.f64 #s(literal -1 binary64) y) (+.f64 #s(literal -1 binary64) y))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) |
(/.f64 (fma.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (+.f64 #s(literal 0 binary64) y) (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 y y)))) (*.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 0 binary64) y))) |
(/.f64 (fma.f64 (-.f64 x y) (*.f64 (*.f64 y y) (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 1 binary64))) #s(literal 1 binary64)) (fma.f64 (-.f64 x y) (-.f64 (-.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) (*.f64 y y) (fma.f64 x (*.f64 y #s(literal -3 binary64)) (*.f64 y y)))) (*.f64 y (*.f64 y y)))) (fma.f64 (-.f64 x y) (-.f64 (-.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (neg.f64 (*.f64 (*.f64 y (*.f64 y y)) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 x (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x x)) y)) (*.f64 x #s(literal 2 binary64))) y)))) (fma.f64 (-.f64 x y) (-.f64 (-.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (fma.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y)) #s(literal 1 binary64)) (fma.f64 (-.f64 x y) (-.f64 (*.f64 (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 x y) (*.f64 x x)))) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(+.f64 #s(literal 1 binary64) (log.f64 (neg.f64 y))) |
(-.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x))) |
(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)))) |
(-.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (neg.f64 y)))) |
(-.f64 (neg.f64 y) (log1p.f64 (neg.f64 x))) |
(+.f64 (+.f64 x (log.f64 (neg.f64 y))) #s(literal 1 binary64)) |
(-.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 x))) |
(-.f64 (+.f64 #s(literal 1 binary64) x) (neg.f64 (log.f64 (neg.f64 y)))) |
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x y))) |
(-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) (log1p.f64 (neg.f64 x))) |
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))))) |
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y))) |
| Outputs |
|---|
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))))) |
(fma.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) y (+.f64 #s(literal 1 binary64) x)) |
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y))) |
5 calls:
| 13.0ms | (-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) |
| 12.0ms | (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) |
| 11.0ms | y |
| 11.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| 10.0ms | (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.4% | 3 | y |
| 99.6% | 3 | (-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) |
| 99.6% | 3 | (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))) |
| 99.6% | 3 | (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) |
| 99.6% | 3 | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
Compiled 49 to 32 computations (34.7% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
(neg.f64 y) |
(+.f64 #s(literal 1 binary64) x) |
(-.f64 #s(literal 1 binary64) y) |
(+.f64 #s(literal 1 binary64) (-.f64 x y)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 y y)) |
(*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))) |
(fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(/.f64 x (neg.f64 y)) |
(-.f64 #s(literal 1 binary64) (/.f64 x y)) |
(+.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) x)) |
(fma.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) y (+.f64 #s(literal 1 binary64) x)) |
(-.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (neg.f64 x)) |
(fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 x y) y) y)) |
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (+.f64 x y))) |
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (neg.f64 y)) |
(/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) |
(fma.f64 y (fma.f64 y (+.f64 (/.f64 x (*.f64 y y)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (*.f64 y (*.f64 y y))) (fma.f64 (-.f64 x y) (-.f64 (-.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 y (-.f64 (*.f64 #s(literal 3 binary64) (/.f64 x y)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) x) y)))) |
(/.f64 (fma.f64 (-.f64 x y) (*.f64 y (fma.f64 x #s(literal -2 binary64) y)) #s(literal 1 binary64)) (fma.f64 (-.f64 x y) (-.f64 (-.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (fma.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y)) #s(literal 1 binary64)) (fma.f64 (-.f64 x y) (-.f64 (-.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 (+.f64 #s(literal -1 binary64) y) (+.f64 #s(literal -1 binary64) y))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) |
(/.f64 (fma.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (+.f64 #s(literal 0 binary64) y) (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 y y)))) (*.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 0 binary64) y))) |
(/.f64 (fma.f64 (-.f64 x y) (*.f64 (*.f64 y y) (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 1 binary64))) #s(literal 1 binary64)) (fma.f64 (-.f64 x y) (-.f64 (-.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) (*.f64 y y) (fma.f64 x (*.f64 y #s(literal -3 binary64)) (*.f64 y y)))) (*.f64 y (*.f64 y y)))) (fma.f64 (-.f64 x y) (-.f64 (-.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (neg.f64 (*.f64 (*.f64 y (*.f64 y y)) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 x (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x x)) y)) (*.f64 x #s(literal 2 binary64))) y)))) (fma.f64 (-.f64 x y) (-.f64 (-.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (fma.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y)) #s(literal 1 binary64)) (fma.f64 (-.f64 x y) (-.f64 (*.f64 (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 x y) (*.f64 x x)))) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(+.f64 #s(literal 1 binary64) (log.f64 (neg.f64 y))) |
(-.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x))) |
(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)))) |
(-.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (neg.f64 y)))) |
(-.f64 (neg.f64 y) (log1p.f64 (neg.f64 x))) |
(+.f64 (+.f64 x (log.f64 (neg.f64 y))) #s(literal 1 binary64)) |
(-.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 x))) |
(-.f64 (+.f64 #s(literal 1 binary64) x) (neg.f64 (log.f64 (neg.f64 y)))) |
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x y))) |
(-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) (log1p.f64 (neg.f64 x))) |
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))))) |
| Outputs |
|---|
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))))) |
(fma.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) y (+.f64 #s(literal 1 binary64) x)) |
(+.f64 #s(literal 1 binary64) (log.f64 (neg.f64 y))) |
5 calls:
| 14.0ms | (-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) |
| 12.0ms | (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) |
| 11.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| 11.0ms | y |
| 10.0ms | (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.2% | 3 | y |
| 89.0% | 3 | (-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) |
| 89.0% | 3 | (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))) |
| 89.0% | 3 | (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) |
| 89.0% | 3 | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
Compiled 49 to 32 computations (34.7% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
(neg.f64 y) |
(+.f64 #s(literal 1 binary64) x) |
(-.f64 #s(literal 1 binary64) y) |
(+.f64 #s(literal 1 binary64) (-.f64 x y)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 y y)) |
(*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))) |
(fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(/.f64 x (neg.f64 y)) |
(-.f64 #s(literal 1 binary64) (/.f64 x y)) |
(+.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) x)) |
(fma.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) y (+.f64 #s(literal 1 binary64) x)) |
(-.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (neg.f64 x)) |
(fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 x y) y) y)) |
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (+.f64 x y))) |
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (neg.f64 y)) |
(/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) |
(fma.f64 y (fma.f64 y (+.f64 (/.f64 x (*.f64 y y)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (*.f64 y (*.f64 y y))) (fma.f64 (-.f64 x y) (-.f64 (-.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 y (-.f64 (*.f64 #s(literal 3 binary64) (/.f64 x y)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) x) y)))) |
(/.f64 (fma.f64 (-.f64 x y) (*.f64 y (fma.f64 x #s(literal -2 binary64) y)) #s(literal 1 binary64)) (fma.f64 (-.f64 x y) (-.f64 (-.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (fma.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y)) #s(literal 1 binary64)) (fma.f64 (-.f64 x y) (-.f64 (-.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 (+.f64 #s(literal -1 binary64) y) (+.f64 #s(literal -1 binary64) y))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) |
(/.f64 (fma.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (+.f64 #s(literal 0 binary64) y) (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 y y)))) (*.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 0 binary64) y))) |
(/.f64 (fma.f64 (-.f64 x y) (*.f64 (*.f64 y y) (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 1 binary64))) #s(literal 1 binary64)) (fma.f64 (-.f64 x y) (-.f64 (-.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) (*.f64 y y) (fma.f64 x (*.f64 y #s(literal -3 binary64)) (*.f64 y y)))) (*.f64 y (*.f64 y y)))) (fma.f64 (-.f64 x y) (-.f64 (-.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (neg.f64 (*.f64 (*.f64 y (*.f64 y y)) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 x (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x x)) y)) (*.f64 x #s(literal 2 binary64))) y)))) (fma.f64 (-.f64 x y) (-.f64 (-.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (fma.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y)) #s(literal 1 binary64)) (fma.f64 (-.f64 x y) (-.f64 (*.f64 (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 x y) (*.f64 x x)))) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(+.f64 #s(literal 1 binary64) (log.f64 (neg.f64 y))) |
(-.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x))) |
(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)))) |
(-.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (neg.f64 y)))) |
(-.f64 (neg.f64 y) (log1p.f64 (neg.f64 x))) |
(+.f64 (+.f64 x (log.f64 (neg.f64 y))) #s(literal 1 binary64)) |
(-.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 x))) |
(-.f64 (+.f64 #s(literal 1 binary64) x) (neg.f64 (log.f64 (neg.f64 y)))) |
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x y))) |
(-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) (log1p.f64 (neg.f64 x))) |
| Outputs |
|---|
(+.f64 #s(literal 1 binary64) (log.f64 (neg.f64 y))) |
(-.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 x))) |
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x y))) |
5 calls:
| 15.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| 12.0ms | y |
| 11.0ms | (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))) |
| 10.0ms | (-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) |
| 9.0ms | (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 87.7% | 3 | y |
| 78.8% | 2 | (-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) |
| 78.8% | 2 | (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))) |
| 78.8% | 2 | (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) |
| 78.8% | 2 | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
Compiled 49 to 32 computations (34.7% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
(neg.f64 y) |
(+.f64 #s(literal 1 binary64) x) |
(-.f64 #s(literal 1 binary64) y) |
(+.f64 #s(literal 1 binary64) (-.f64 x y)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 y y)) |
(*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))) |
(fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(/.f64 x (neg.f64 y)) |
(-.f64 #s(literal 1 binary64) (/.f64 x y)) |
(+.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) x)) |
(fma.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) y (+.f64 #s(literal 1 binary64) x)) |
(-.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (neg.f64 x)) |
(fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 x y) y) y)) |
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (+.f64 x y))) |
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (neg.f64 y)) |
(/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) |
(fma.f64 y (fma.f64 y (+.f64 (/.f64 x (*.f64 y y)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (*.f64 y (*.f64 y y))) (fma.f64 (-.f64 x y) (-.f64 (-.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 y (-.f64 (*.f64 #s(literal 3 binary64) (/.f64 x y)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) x) y)))) |
(/.f64 (fma.f64 (-.f64 x y) (*.f64 y (fma.f64 x #s(literal -2 binary64) y)) #s(literal 1 binary64)) (fma.f64 (-.f64 x y) (-.f64 (-.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (fma.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y)) #s(literal 1 binary64)) (fma.f64 (-.f64 x y) (-.f64 (-.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 (+.f64 #s(literal -1 binary64) y) (+.f64 #s(literal -1 binary64) y))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) |
(/.f64 (fma.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (+.f64 #s(literal 0 binary64) y) (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 y y)))) (*.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 0 binary64) y))) |
(/.f64 (fma.f64 (-.f64 x y) (*.f64 (*.f64 y y) (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 1 binary64))) #s(literal 1 binary64)) (fma.f64 (-.f64 x y) (-.f64 (-.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) (*.f64 y y) (fma.f64 x (*.f64 y #s(literal -3 binary64)) (*.f64 y y)))) (*.f64 y (*.f64 y y)))) (fma.f64 (-.f64 x y) (-.f64 (-.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (neg.f64 (*.f64 (*.f64 y (*.f64 y y)) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 x (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x x)) y)) (*.f64 x #s(literal 2 binary64))) y)))) (fma.f64 (-.f64 x y) (-.f64 (-.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (fma.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y)) #s(literal 1 binary64)) (fma.f64 (-.f64 x y) (-.f64 (*.f64 (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 x y) (*.f64 x x)))) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(+.f64 #s(literal 1 binary64) (log.f64 (neg.f64 y))) |
(-.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x))) |
(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)))) |
(-.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (neg.f64 y)))) |
(-.f64 (neg.f64 y) (log1p.f64 (neg.f64 x))) |
(+.f64 (+.f64 x (log.f64 (neg.f64 y))) #s(literal 1 binary64)) |
(-.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 x))) |
(-.f64 (+.f64 #s(literal 1 binary64) x) (neg.f64 (log.f64 (neg.f64 y)))) |
| Outputs |
|---|
(+.f64 #s(literal 1 binary64) (log.f64 (neg.f64 y))) |
(-.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 x))) |
2 calls:
| 11.0ms | x |
| 10.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 63.7% | 3 | x |
| 78.8% | 2 | y |
Compiled 6 to 4 computations (33.3% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
(neg.f64 y) |
(+.f64 #s(literal 1 binary64) x) |
(-.f64 #s(literal 1 binary64) y) |
(+.f64 #s(literal 1 binary64) (-.f64 x y)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 y y)) |
(*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))) |
(fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(/.f64 x (neg.f64 y)) |
(-.f64 #s(literal 1 binary64) (/.f64 x y)) |
(+.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) x)) |
(fma.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) y (+.f64 #s(literal 1 binary64) x)) |
(-.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (neg.f64 x)) |
(fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 x y) y) y)) |
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (+.f64 x y))) |
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (neg.f64 y)) |
(/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) |
(fma.f64 y (fma.f64 y (+.f64 (/.f64 x (*.f64 y y)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (*.f64 y (*.f64 y y))) (fma.f64 (-.f64 x y) (-.f64 (-.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 y (-.f64 (*.f64 #s(literal 3 binary64) (/.f64 x y)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) x) y)))) |
(/.f64 (fma.f64 (-.f64 x y) (*.f64 y (fma.f64 x #s(literal -2 binary64) y)) #s(literal 1 binary64)) (fma.f64 (-.f64 x y) (-.f64 (-.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (fma.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y)) #s(literal 1 binary64)) (fma.f64 (-.f64 x y) (-.f64 (-.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 (+.f64 #s(literal -1 binary64) y) (+.f64 #s(literal -1 binary64) y))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) |
(/.f64 (fma.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (+.f64 #s(literal 0 binary64) y) (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 y y)))) (*.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 0 binary64) y))) |
(/.f64 (fma.f64 (-.f64 x y) (*.f64 (*.f64 y y) (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 1 binary64))) #s(literal 1 binary64)) (fma.f64 (-.f64 x y) (-.f64 (-.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) (*.f64 y y) (fma.f64 x (*.f64 y #s(literal -3 binary64)) (*.f64 y y)))) (*.f64 y (*.f64 y y)))) (fma.f64 (-.f64 x y) (-.f64 (-.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (neg.f64 (*.f64 (*.f64 y (*.f64 y y)) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 x (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x x)) y)) (*.f64 x #s(literal 2 binary64))) y)))) (fma.f64 (-.f64 x y) (-.f64 (-.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (fma.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y)) #s(literal 1 binary64)) (fma.f64 (-.f64 x y) (-.f64 (*.f64 (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 x y) (*.f64 x x)))) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(+.f64 #s(literal 1 binary64) (log.f64 (neg.f64 y))) |
(-.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x))) |
(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)))) |
(-.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (neg.f64 y)))) |
(-.f64 (neg.f64 y) (log1p.f64 (neg.f64 x))) |
(+.f64 (+.f64 x (log.f64 (neg.f64 y))) #s(literal 1 binary64)) |
| Outputs |
|---|
(+.f64 #s(literal 1 binary64) (log.f64 (neg.f64 y))) |
(-.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x))) |
5 calls:
| 14.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| 10.0ms | (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) |
| 10.0ms | y |
| 9.0ms | (-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) |
| 8.0ms | (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 78.8% | 2 | (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))) |
| 78.8% | 2 | (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) |
| 78.8% | 2 | (-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) |
| 78.8% | 2 | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| 77.9% | 2 | y |
Compiled 49 to 32 computations (34.7% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
(neg.f64 y) |
(+.f64 #s(literal 1 binary64) x) |
(-.f64 #s(literal 1 binary64) y) |
(+.f64 #s(literal 1 binary64) (-.f64 x y)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 y y)) |
(*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))) |
(fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(/.f64 x (neg.f64 y)) |
(-.f64 #s(literal 1 binary64) (/.f64 x y)) |
(+.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) x)) |
(fma.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) y (+.f64 #s(literal 1 binary64) x)) |
(-.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (neg.f64 x)) |
(fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 x y) y) y)) |
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (+.f64 x y))) |
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (neg.f64 y)) |
(/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) |
(fma.f64 y (fma.f64 y (+.f64 (/.f64 x (*.f64 y y)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (*.f64 y (*.f64 y y))) (fma.f64 (-.f64 x y) (-.f64 (-.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 y (-.f64 (*.f64 #s(literal 3 binary64) (/.f64 x y)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) x) y)))) |
(/.f64 (fma.f64 (-.f64 x y) (*.f64 y (fma.f64 x #s(literal -2 binary64) y)) #s(literal 1 binary64)) (fma.f64 (-.f64 x y) (-.f64 (-.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (fma.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y)) #s(literal 1 binary64)) (fma.f64 (-.f64 x y) (-.f64 (-.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 (+.f64 #s(literal -1 binary64) y) (+.f64 #s(literal -1 binary64) y))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) |
(/.f64 (fma.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (+.f64 #s(literal 0 binary64) y) (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 y y)))) (*.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 0 binary64) y))) |
(/.f64 (fma.f64 (-.f64 x y) (*.f64 (*.f64 y y) (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 1 binary64))) #s(literal 1 binary64)) (fma.f64 (-.f64 x y) (-.f64 (-.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) (*.f64 y y) (fma.f64 x (*.f64 y #s(literal -3 binary64)) (*.f64 y y)))) (*.f64 y (*.f64 y y)))) (fma.f64 (-.f64 x y) (-.f64 (-.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (neg.f64 (*.f64 (*.f64 y (*.f64 y y)) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 x (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x x)) y)) (*.f64 x #s(literal 2 binary64))) y)))) (fma.f64 (-.f64 x y) (-.f64 (-.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (fma.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y)) #s(literal 1 binary64)) (fma.f64 (-.f64 x y) (-.f64 (*.f64 (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 x y) (*.f64 x x)))) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(+.f64 #s(literal 1 binary64) (log.f64 (neg.f64 y))) |
| Outputs |
|---|
(+.f64 #s(literal 1 binary64) (log.f64 (neg.f64 y))) |
(fma.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) y (+.f64 #s(literal 1 binary64) x)) |
6 calls:
| 31.0ms | (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) |
| 18.0ms | y |
| 9.0ms | x |
| 8.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| 8.0ms | (-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 42.0% | 2 | x |
| 57.7% | 2 | y |
| 57.7% | 2 | (-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) |
| 57.7% | 2 | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| 57.7% | 2 | (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))) |
| 57.7% | 2 | (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) |
Compiled 52 to 34 computations (34.6% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
(neg.f64 y) |
(+.f64 #s(literal 1 binary64) x) |
(-.f64 #s(literal 1 binary64) y) |
(+.f64 #s(literal 1 binary64) (-.f64 x y)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 y y)) |
(*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))) |
(fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(/.f64 x (neg.f64 y)) |
(-.f64 #s(literal 1 binary64) (/.f64 x y)) |
(+.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) x)) |
(fma.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) y (+.f64 #s(literal 1 binary64) x)) |
(-.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (neg.f64 x)) |
(fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 x y) y) y)) |
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (+.f64 x y))) |
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (neg.f64 y)) |
(/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) |
(fma.f64 y (fma.f64 y (+.f64 (/.f64 x (*.f64 y y)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (*.f64 y (*.f64 y y))) (fma.f64 (-.f64 x y) (-.f64 (-.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 y (-.f64 (*.f64 #s(literal 3 binary64) (/.f64 x y)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) x) y)))) |
(/.f64 (fma.f64 (-.f64 x y) (*.f64 y (fma.f64 x #s(literal -2 binary64) y)) #s(literal 1 binary64)) (fma.f64 (-.f64 x y) (-.f64 (-.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (fma.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y)) #s(literal 1 binary64)) (fma.f64 (-.f64 x y) (-.f64 (-.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 (+.f64 #s(literal -1 binary64) y) (+.f64 #s(literal -1 binary64) y))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) |
(/.f64 (fma.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (+.f64 #s(literal 0 binary64) y) (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 y y)))) (*.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 0 binary64) y))) |
(/.f64 (fma.f64 (-.f64 x y) (*.f64 (*.f64 y y) (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 1 binary64))) #s(literal 1 binary64)) (fma.f64 (-.f64 x y) (-.f64 (-.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) (*.f64 y y) (fma.f64 x (*.f64 y #s(literal -3 binary64)) (*.f64 y y)))) (*.f64 y (*.f64 y y)))) (fma.f64 (-.f64 x y) (-.f64 (-.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (neg.f64 (*.f64 (*.f64 y (*.f64 y y)) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 x (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x x)) y)) (*.f64 x #s(literal 2 binary64))) y)))) (fma.f64 (-.f64 x y) (-.f64 (-.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (fma.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y)) #s(literal 1 binary64)) (fma.f64 (-.f64 x y) (-.f64 (*.f64 (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 x y) (*.f64 x x)))) #s(literal 1 binary64)) #s(literal 1 binary64))) |
| Outputs |
|---|
#s(literal 1 binary64) |
(fma.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) y (+.f64 #s(literal 1 binary64) x)) |
6 calls:
| 34.0ms | (-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) |
| 9.0ms | (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) |
| 8.0ms | y |
| 8.0ms | x |
| 8.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 39.0% | 1 | x |
| 39.0% | 1 | y |
| 40.8% | 2 | (-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) |
| 40.8% | 2 | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| 40.8% | 2 | (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))) |
| 40.8% | 2 | (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) |
Compiled 52 to 34 computations (34.6% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
(neg.f64 y) |
(+.f64 #s(literal 1 binary64) x) |
(-.f64 #s(literal 1 binary64) y) |
(+.f64 #s(literal 1 binary64) (-.f64 x y)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 y y)) |
(*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))) |
(fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(/.f64 x (neg.f64 y)) |
(-.f64 #s(literal 1 binary64) (/.f64 x y)) |
(+.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) x)) |
| Outputs |
|---|
(+.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) x)) |
#s(literal 1 binary64) |
4 calls:
| 10.0ms | (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))) |
| 4.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| 4.0ms | (-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) |
| 3.0ms | (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 40.8% | 2 | (-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) |
| 40.8% | 2 | (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))) |
| 40.8% | 2 | (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) |
| 40.8% | 2 | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
Compiled 46 to 30 computations (34.8% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
(neg.f64 y) |
(+.f64 #s(literal 1 binary64) x) |
(-.f64 #s(literal 1 binary64) y) |
(+.f64 #s(literal 1 binary64) (-.f64 x y)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 y y)) |
(*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))) |
(fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(/.f64 x (neg.f64 y)) |
(-.f64 #s(literal 1 binary64) (/.f64 x y)) |
| Outputs |
|---|
(+.f64 #s(literal 1 binary64) (-.f64 x y)) |
#s(literal 1 binary64) |
4 calls:
| 4.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| 3.0ms | (-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) |
| 3.0ms | (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))) |
| 3.0ms | (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 40.7% | 2 | (-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) |
| 40.7% | 2 | (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))) |
| 40.7% | 2 | (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) |
| 40.7% | 2 | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
Compiled 46 to 30 computations (34.8% saved)
Total -22.9b remaining (-58.5%)
Threshold costs -22.9b (-58.5%)
| Inputs |
|---|
#s(literal 1 binary64) |
(neg.f64 y) |
(+.f64 #s(literal 1 binary64) x) |
(-.f64 #s(literal 1 binary64) y) |
| Outputs |
|---|
#s(literal 1 binary64) |
6 calls:
| 2.0ms | x |
| 2.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| 2.0ms | y |
| 2.0ms | (-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) |
| 2.0ms | (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 38.8% | 1 | x |
| 38.8% | 1 | y |
| 38.8% | 1 | (-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) |
| 38.8% | 1 | (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))) |
| 38.8% | 1 | (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) |
| 38.8% | 1 | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
Compiled 52 to 34 computations (34.6% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9978669306207659 | 0.9999993930908251 |
Compiled 17 to 15 computations (11.8% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9978669306207659 | 0.9999993930908251 |
Compiled 17 to 15 computations (11.8% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.6934419805452768e-5 | 0.9978669306207659 |
Compiled 17 to 15 computations (11.8% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.6934419805452768e-5 | 0.9978669306207659 |
| 0.0ms | -7955.771312975334 | -1.1522304730807323e-9 |
Compiled 17 to 15 computations (11.8% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.6934419805452768e-5 | 0.9978669306207659 |
| 0.0ms | -7955.771312975334 | -1.1522304730807323e-9 |
Compiled 17 to 15 computations (11.8% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 54.0ms | 0.7794258841973876 | 2.3208392406537466 |
| 16.0ms | -467.80800490374816 | -0.764637540582605 |
| 33.0ms | 546× | 0 | invalid |
| 15.0ms | 208× | 0 | valid |
Compiled 256 to 209 computations (18.4% saved)
ival-sub: 16.0ms (56.3% of total)ival-div: 6.0ms (21.1% of total)ival-log: 6.0ms (21.1% of total)ival-true: 1.0ms (3.5% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | -467.80800490374816 | -0.764637540582605 |
Compiled 161 to 134 computations (16.8% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.002133069379234076 | 0.9999830655801946 |
Compiled 17 to 15 computations (11.8% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.002133069379234076 | 0.9999830655801946 |
Compiled 17 to 15 computations (11.8% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.002133069379234076 | 0.9999830655801946 |
Compiled 17 to 15 computations (11.8% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.6934419805452768e-5 | 0.9978669306207659 |
Compiled 17 to 15 computations (11.8% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.6934419805452768e-5 | 0.9978669306207659 |
Compiled 17 to 15 computations (11.8% saved)
| 1× | egg-herbie |
| 242× | unsub-neg_binary64 |
| 128× | neg-mul-1_binary64 |
| 102× | distribute-lft-neg-in_binary64 |
| 84× | +-commutative_binary64 |
| 82× | sub-neg_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 69 | 324 |
| 1 | 103 | 324 |
| 2 | 138 | 324 |
| 3 | 166 | 324 |
| 4 | 199 | 324 |
| 5 | 237 | 324 |
| 6 | 268 | 324 |
| 7 | 364 | 324 |
| 8 | 494 | 324 |
| 9 | 553 | 324 |
| 10 | 595 | 324 |
| 11 | 626 | 324 |
| 12 | 644 | 324 |
| 13 | 649 | 324 |
| 14 | 651 | 324 |
| 15 | 654 | 324 |
| 16 | 659 | 324 |
| 17 | 660 | 324 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 4494592428115755/4503599627370496 binary64)) (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) (-.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal -1 binary64) (+.f64 x (/.f64 (+.f64 #s(literal -1 binary64) x) y))) y)))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 4494592428115755/4503599627370496 binary64)) (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) (-.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y)))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 5902958103587057/295147905179352825856 binary64)) (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))))) (-.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y)))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal -5000 binary64)) (-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 5902958103587057/295147905179352825856 binary64)) (fma.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) y (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y))))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal -5000 binary64)) (-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 5902958103587057/295147905179352825856 binary64)) (fma.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) y (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (log.f64 (neg.f64 y))))) |
(if (<=.f64 y #s(literal -98 binary64)) (+.f64 #s(literal 1 binary64) (log.f64 (neg.f64 y))) (if (<=.f64 y #s(literal 1 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 x))) (-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x y))))) |
(if (<=.f64 y #s(literal -98 binary64)) (+.f64 #s(literal 1 binary64) (log.f64 (neg.f64 y))) (-.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 x)))) |
(if (<=.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) #s(literal 1152921504606847/288230376151711744 binary64)) (+.f64 #s(literal 1 binary64) (log.f64 (neg.f64 y))) (-.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x)))) |
(if (<=.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) #s(literal 1152921504606847/288230376151711744 binary64)) (+.f64 #s(literal 1 binary64) (log.f64 (neg.f64 y))) (fma.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) y (+.f64 #s(literal 1 binary64) x))) |
(if (<=.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) #s(literal 1152921504606847/288230376151711744 binary64)) #s(literal 1 binary64) (fma.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) y (+.f64 #s(literal 1 binary64) x))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 5902958103587057/295147905179352825856 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) x)) #s(literal 1 binary64)) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 5902958103587057/295147905179352825856 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 x y)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
| Outputs |
|---|
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 4494592428115755/4503599627370496 binary64)) (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) (-.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal -1 binary64) (+.f64 x (/.f64 (+.f64 #s(literal -1 binary64) x) y))) y)))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 4494592428115755/4503599627370496 binary64)) (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) (-.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal -1 binary64) (+.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) y))) y)))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 4494592428115755/4503599627370496 binary64)) (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) (-.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y)))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 4494592428115755/4503599627370496 binary64)) (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) (-.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y)))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 5902958103587057/295147905179352825856 binary64)) (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))))) (-.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y)))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 5902958103587057/295147905179352825856 binary64)) (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))))) (-.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y)))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal -5000 binary64)) (-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 5902958103587057/295147905179352825856 binary64)) (fma.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) y (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y))))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal -5000 binary64)) (-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 5902958103587057/295147905179352825856 binary64)) (fma.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) y (+.f64 x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y))))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal -5000 binary64)) (-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 5902958103587057/295147905179352825856 binary64)) (fma.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) y (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (log.f64 (neg.f64 y))))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal -5000 binary64)) (-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 5902958103587057/295147905179352825856 binary64)) (fma.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) y (+.f64 x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (log.f64 (neg.f64 y))))) |
(if (<=.f64 y #s(literal -98 binary64)) (+.f64 #s(literal 1 binary64) (log.f64 (neg.f64 y))) (if (<=.f64 y #s(literal 1 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 x))) (-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x y))))) |
(if (<=.f64 y #s(literal -98 binary64)) (+.f64 #s(literal 1 binary64) (log.f64 (neg.f64 y))) (-.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 x)))) |
(if (<=.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) #s(literal 1152921504606847/288230376151711744 binary64)) (+.f64 #s(literal 1 binary64) (log.f64 (neg.f64 y))) (-.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x)))) |
(if (<=.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) #s(literal 1152921504606847/288230376151711744 binary64)) (+.f64 #s(literal 1 binary64) (log.f64 (neg.f64 y))) (-.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x)))) |
(if (<=.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) #s(literal 1152921504606847/288230376151711744 binary64)) (+.f64 #s(literal 1 binary64) (log.f64 (neg.f64 y))) (fma.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) y (+.f64 #s(literal 1 binary64) x))) |
(if (<=.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) #s(literal 1152921504606847/288230376151711744 binary64)) (+.f64 #s(literal 1 binary64) (log.f64 (neg.f64 y))) (fma.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) y (+.f64 x #s(literal 1 binary64)))) |
(if (<=.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) #s(literal 1152921504606847/288230376151711744 binary64)) #s(literal 1 binary64) (fma.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) y (+.f64 #s(literal 1 binary64) x))) |
(if (<=.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) #s(literal 1152921504606847/288230376151711744 binary64)) #s(literal 1 binary64) (fma.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) y (+.f64 x #s(literal 1 binary64)))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 5902958103587057/295147905179352825856 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) x)) #s(literal 1 binary64)) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 5902958103587057/295147905179352825856 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 x y)) #s(literal 1 binary64)) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 5902958103587057/295147905179352825856 binary64)) (+.f64 (-.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
| 12 408× | lower-fma.f64 |
| 12 408× | lower-fma.f32 |
| 7 012× | lower-fma.f64 |
| 7 012× | lower-fma.f32 |
| 6 656× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 70 |
| 0 | 36 | 70 |
| 1 | 179 | 69 |
| 2 | 1617 | 69 |
| 0 | 9105 | 69 |
| 0 | 432 | 2626 |
| 1 | 1404 | 2020 |
| 2 | 4890 | 1789 |
| 0 | 8558 | 1696 |
| 0 | 427 | 2690 |
| 1 | 1276 | 2490 |
| 2 | 3842 | 2372 |
| 0 | 8621 | 2207 |
| 0 | 584 | 4404 |
| 1 | 1855 | 3865 |
| 2 | 6051 | 3394 |
| 0 | 8536 | 3209 |
| 0 | 9 | 38 |
| 0 | 15 | 38 |
| 1 | 77 | 38 |
| 2 | 662 | 38 |
| 0 | 8723 | 34 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 701 to 375 computations (46.5% saved)
Compiled 790 to 204 computations (74.2% saved)
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