
Time bar (total: 10.0s)
| 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)
| 729.0ms | 5 964× | 0 | valid |
| 565.0ms | 2 292× | 1 | valid |
| 421.0ms | 1 062× | 1 | invalid |
| 257.0ms | 1 711× | 0 | invalid |
ival-sub: 860.0ms (56.6% of total)ival-div: 317.0ms (20.8% of total)ival-log: 261.0ms (17.2% of total)adjust: 61.0ms (4% of total)exact: 9.0ms (0.6% of total)ival-true: 9.0ms (0.6% of total)ival-assert: 5.0ms (0.3% of total)| 2× | egg-herbie |
| 540× | accelerator-lowering-fma.f32 |
| 540× | accelerator-lowering-fma.f64 |
| 402× | sub-neg |
| 364× | times-frac |
| 316× | div-sub |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 80 |
| 1 | 76 | 74 |
| 2 | 198 | 72 |
| 3 | 479 | 72 |
| 4 | 1050 | 72 |
| 5 | 2092 | 72 |
| 6 | 2638 | 72 |
| 7 | 2837 | 72 |
| 8 | 2875 | 72 |
| 9 | 2881 | 72 |
| 10 | 2881 | 72 |
| 0 | 9 | 12 |
| 1 | 21 | 12 |
| 2 | 40 | 12 |
| 3 | 91 | 12 |
| 4 | 216 | 12 |
| 5 | 446 | 12 |
| 6 | 789 | 12 |
| 7 | 974 | 12 |
| 8 | 1017 | 12 |
| 9 | 1046 | 12 |
| 0 | 1046 | 10 |
| 1× | iter limit |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
(- 1 (log (- 1 (/ (- x y) (- 1 y))))) |
| Outputs |
|---|
(- 1 (log (- 1 (/ (- x y) (- 1 y))))) |
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) |
| Inputs |
|---|
(- 1 (log (- 1 (/ (- x y) (- 1 y))))) |
(- 1 (log (- 1 (/ (- (neg x) y) (- 1 y))))) |
(- 1 (log (- 1 (/ (- x (neg y)) (- 1 (neg y)))))) |
(neg (- 1 (log (- 1 (/ (- (neg x) y) (- 1 y)))))) |
(neg (- 1 (log (- 1 (/ (- x (neg y)) (- 1 (neg y))))))) |
(- 1 (log (- 1 (/ (- y x) (- 1 x))))) |
| Outputs |
|---|
(- 1 (log (- 1 (/ (- x y) (- 1 y))))) |
(- 1 (log (+ 1 (/ (- x y) (+ y -1))))) |
(- 1 (log (- 1 (/ (- (neg x) y) (- 1 y))))) |
(- 1 (log (+ 1 (/ (+ x y) (- 1 y))))) |
(- 1 (log (- 1 (/ (- x (neg y)) (- 1 (neg y)))))) |
(- 1 (log (+ 1 (/ (+ x y) (- -1 y))))) |
(neg (- 1 (log (- 1 (/ (- (neg x) y) (- 1 y)))))) |
(+ (log (+ 1 (/ (+ x y) (- 1 y)))) -1) |
(neg (- 1 (log (- 1 (/ (- x (neg y)) (- 1 (neg y))))))) |
(+ (log (+ 1 (/ (+ x y) (- -1 y)))) -1) |
(- 1 (log (- 1 (/ (- y x) (- 1 x))))) |
(- 1 (log (+ 1 (/ (- x y) (- 1 x))))) |
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 113 | 0 | - | 0 | - | (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))) |
| 70 | 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 | 113 | 0 |
-.f64 | (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) | cancellation | 70 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 70 | 0 |
| - | 113 | 73 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 70 | 0 | 0 |
| - | 113 | 0 | 73 |
| number | freq |
|---|---|
| 0 | 73 |
| 1 | 183 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 162.0ms | 322× | 1 | valid |
| 12.0ms | 166× | 0 | valid |
| 9.0ms | 24× | 2 | valid |
Compiled 126 to 40 computations (68.3% saved)
ival-sub: 121.0ms (76.5% of total)ival-log: 23.0ms (14.6% of total)ival-div: 7.0ms (4.4% of total)adjust: 6.0ms (3.8% of total)exact: 1.0ms (0.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)Compiled 2 to 2 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 74.7% | (-.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× | accelerator-lowering-fma.f32 |
| 540× | accelerator-lowering-fma.f64 |
| 232× | *-lowering-*.f32 |
| 232× | *-lowering-*.f64 |
| 176× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 47 |
| 1 | 21 | 47 |
| 2 | 40 | 47 |
| 3 | 91 | 47 |
| 4 | 216 | 47 |
| 5 | 446 | 47 |
| 6 | 789 | 47 |
| 7 | 974 | 47 |
| 8 | 1017 | 47 |
| 9 | 1046 | 47 |
| 0 | 1046 | 43 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(- 1 (log (- 1 (/ (- x y) (- 1 y))))) |
1 |
(log (- 1 (/ (- x y) (- 1 y)))) |
(- 1 (/ (- x y) (- 1 y))) |
(/ (- x y) (- 1 y)) |
(- x y) |
x |
y |
(- 1 y) |
| Outputs |
|---|
(- 1 (log (- 1 (/ (- x y) (- 1 y))))) |
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) |
1 |
#s(literal 1 binary64) |
(log (- 1 (/ (- x y) (- 1 y)))) |
(log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) |
(- 1 (/ (- x y) (- 1 y))) |
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) |
(/ (- x y) (- 1 y)) |
(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
(- x y) |
(-.f64 x y) |
x |
y |
(- 1 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 | 99.9% | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| ✓ | accuracy | 75.3% | (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) |
| ✓ | accuracy | 59.1% | (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))) |
| 27.0ms | 161× | 1 | valid |
| 12.0ms | 83× | 0 | valid |
| 4.0ms | 12× | 2 | valid |
Compiled 49 to 11 computations (77.6% saved)
ival-sub: 11.0ms (38.5% of total)ival-log: 11.0ms (38.5% of total)ival-div: 3.0ms (10.5% of total)adjust: 3.0ms (10.5% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (log (- 1 (/ (- x y) (- 1 y))))> |
#<alt (- 1 (log (- 1 (/ (- x y) (- 1 y)))))> |
#<alt (- 1 (/ (- x y) (- 1 y)))> |
#<alt (/ (- x y) (- 1 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 | |
|---|---|---|---|---|
| 6.0ms | x | @ | 0 | (/ (- x y) (- 1 y)) |
| 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× | batch-egg-rewrite |
| 4 848× | accelerator-lowering-fma.f32 |
| 4 848× | accelerator-lowering-fma.f64 |
| 4 138× | *-lowering-*.f32 |
| 4 138× | *-lowering-*.f64 |
| 3 436× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 38 |
| 1 | 71 | 38 |
| 2 | 656 | 38 |
| 0 | 8707 | 34 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(log (- 1 (/ (- x y) (- 1 y)))) |
(- 1 (log (- 1 (/ (- x y) (- 1 y))))) |
(- 1 (/ (- x y) (- 1 y))) |
(/ (- x y) (- 1 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 x y) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))) |
(*.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 #s(literal 1 binary64) y))) |
(*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 y y 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)))) (+.f64 #s(literal 1 binary64) (fma.f64 y y 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) (+.f64 #s(literal 1 binary64) (fma.f64 y y 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) (+.f64 #s(literal 1 binary64) (fma.f64 y y 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) (+.f64 #s(literal 1 binary64) (fma.f64 y y 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) (+.f64 #s(literal 1 binary64) (fma.f64 y y 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))))) (+.f64 #s(literal 1 binary64) (fma.f64 y y 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× | accelerator-lowering-fma.f32 |
| 6 656× | accelerator-lowering-fma.f64 |
| 3 954× | +-lowering-+.f64 |
| 3 954× | +-lowering-+.f32 |
| 2 636× | --lowering--.f32 |
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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(- (+ 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 11 114 to 1 532 computations (86.2% saved)
12 alts after pruning (12 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 345 | 12 | 357 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 346 | 12 | 358 |
| Status | Accuracy | Program |
|---|---|---|
| 74.6% | (/.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))))))) | |
| ▶ | 64.1% | (-.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 x))) |
| 74.7% | (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) | |
| ▶ | 45.5% | (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)))) |
| ▶ | 65.4% | (-.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x))) |
| ▶ | 76.3% | (-.f64 #s(literal 1 binary64) (log.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (-.f64 y x) #s(literal 1 binary64)))) |
| 37.6% | (-.f64 #s(literal 1 binary64) (log.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))) | |
| 36.7% | (-.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal -1 binary64) (+.f64 x (/.f64 (+.f64 #s(literal -1 binary64) x) y))) y))) | |
| 38.0% | (-.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y))) | |
| ▶ | 44.2% | (-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))))) |
| 2.4% | (-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)))) | |
| 63.0% | (-.f64 #s(literal 1 binary64) (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x)))) |
Compiled 294 to 206 computations (29.9% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (-.f64 #s(literal 1 binary64) y) |
| ✓ | cost-diff | 0 | (/.f64 y (-.f64 #s(literal 1 binary64) y)) |
| ✓ | cost-diff | 0 | (log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y))) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)))) |
| ✓ | cost-diff | 0 | (+.f64 y #s(literal -1 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 x (+.f64 y #s(literal -1 binary64))) |
| ✓ | cost-diff | 0 | (log.f64 (/.f64 x (+.f64 y #s(literal -1 binary64)))) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))))) |
| ✓ | 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 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 1 binary64) (log.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (-.f64 y x) #s(literal 1 binary64)))) |
| ✓ | cost-diff | 192 | (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (-.f64 y x) #s(literal 1 binary64)) |
| ✓ | cost-diff | 192 | (log.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (-.f64 y x) #s(literal 1 binary64))) |
| 788× | accelerator-lowering-fma.f32 |
| 788× | accelerator-lowering-fma.f64 |
| 328× | *-lowering-*.f32 |
| 328× | *-lowering-*.f64 |
| 312× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 139 |
| 1 | 50 | 133 |
| 2 | 99 | 133 |
| 3 | 222 | 133 |
| 4 | 398 | 133 |
| 5 | 606 | 133 |
| 6 | 904 | 133 |
| 7 | 1393 | 133 |
| 8 | 1450 | 133 |
| 9 | 1451 | 133 |
| 0 | 1451 | 121 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(- 1 (log (+ (* (/ 1 (- 1 y)) (- y x)) 1))) |
1 |
(log (+ (* (/ 1 (- 1 y)) (- y x)) 1)) |
(+ (* (/ 1 (- 1 y)) (- y x)) 1) |
(/ 1 (- 1 y)) |
(- 1 y) |
y |
(- y x) |
x |
(- 1 (log (+ 1 (neg x)))) |
1 |
(log (+ 1 (neg x))) |
(neg x) |
x |
(- (- 1 y) (log (+ 1 (neg x)))) |
(- 1 y) |
1 |
y |
(log (+ 1 (neg x))) |
(neg x) |
x |
(- 1 (log (/ x (+ y -1)))) |
1 |
(log (/ x (+ y -1))) |
(/ x (+ y -1)) |
x |
(+ y -1) |
y |
-1 |
(- 1 (log (+ 1 (/ y (- 1 y))))) |
1 |
(log (+ 1 (/ y (- 1 y)))) |
(/ y (- 1 y)) |
y |
(- 1 y) |
| Outputs |
|---|
(- 1 (log (+ (* (/ 1 (- 1 y)) (- y x)) 1))) |
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y)))) |
1 |
#s(literal 1 binary64) |
(log (+ (* (/ 1 (- 1 y)) (- y x)) 1)) |
(log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))) |
(+ (* (/ 1 (- 1 y)) (- y x)) 1) |
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))) |
(/ 1 (- 1 y)) |
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) |
(- 1 y) |
(-.f64 #s(literal 1 binary64) y) |
y |
(- y x) |
(-.f64 y x) |
x |
(- 1 (log (+ 1 (neg x)))) |
(-.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x))) |
1 |
#s(literal 1 binary64) |
(log (+ 1 (neg x))) |
(log1p.f64 (neg.f64 x)) |
(neg x) |
(neg.f64 x) |
x |
(- (- 1 y) (log (+ 1 (neg x)))) |
(-.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 x))) |
(- 1 y) |
(-.f64 #s(literal 1 binary64) y) |
1 |
#s(literal 1 binary64) |
y |
(log (+ 1 (neg x))) |
(log1p.f64 (neg.f64 x)) |
(neg x) |
(neg.f64 x) |
x |
(- 1 (log (/ x (+ y -1)))) |
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))))) |
1 |
#s(literal 1 binary64) |
(log (/ x (+ y -1))) |
(log.f64 (/.f64 x (+.f64 y #s(literal -1 binary64)))) |
(/ x (+ y -1)) |
(/.f64 x (+.f64 y #s(literal -1 binary64))) |
x |
(+ y -1) |
(+.f64 y #s(literal -1 binary64)) |
y |
-1 |
#s(literal -1 binary64) |
(- 1 (log (+ 1 (/ y (- 1 y))))) |
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)))) |
1 |
#s(literal 1 binary64) |
(log (+ 1 (/ y (- 1 y)))) |
(log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y))) |
(/ y (- 1 y)) |
(/.f64 y (-.f64 #s(literal 1 binary64) y)) |
y |
(- 1 y) |
(-.f64 #s(literal 1 binary64) y) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)))) |
| ✓ | accuracy | 100.0% | (-.f64 #s(literal 1 binary64) y) |
| ✓ | accuracy | 100.0% | (/.f64 y (-.f64 #s(literal 1 binary64) y)) |
| ✓ | accuracy | 84.2% | (log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y))) |
| ✓ | accuracy | 100.0% | (+.f64 y #s(literal -1 binary64)) |
| ✓ | accuracy | 100.0% | (-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))))) |
| ✓ | accuracy | 100.0% | (/.f64 x (+.f64 y #s(literal -1 binary64))) |
| ✓ | accuracy | 96.2% | (log.f64 (/.f64 x (+.f64 y #s(literal -1 binary64)))) |
| ✓ | 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 (-.f64 #s(literal 1 binary64) y) (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 #s(literal 1 binary64) (log.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (-.f64 y x) #s(literal 1 binary64)))) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) |
| ✓ | accuracy | 89.3% | (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (-.f64 y x) #s(literal 1 binary64)) |
| ✓ | accuracy | 80.6% | (log.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (-.f64 y x) #s(literal 1 binary64))) |
| 41.0ms | 84× | 1 | valid |
| 19.0ms | 110× | 0 | invalid |
| 14.0ms | 54× | 0 | valid |
| 5.0ms | 8× | 2 | valid |
Compiled 130 to 24 computations (81.5% saved)
ival-sub: 12.0ms (21.9% of total)ival-log: 12.0ms (21.9% of total)ival-log1p: 11.0ms (20.1% of total)ival-div: 7.0ms (12.8% of total)ival-mult: 6.0ms (10.9% of total)adjust: 4.0ms (7.3% of total)ival-add: 3.0ms (5.5% of total)ival-neg: 1.0ms (1.8% 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 (+ (* (/ 1 (- 1 y)) (- y x)) 1))> |
#<alt (+ (* (/ 1 (- 1 y)) (- y x)) 1)> |
#<alt (- 1 (log (+ (* (/ 1 (- 1 y)) (- y x)) 1)))> |
#<alt (/ 1 (- 1 y))> |
#<alt (- 1 (log (+ 1 (neg x))))> |
#<alt (log (+ 1 (neg x)))> |
#<alt (neg x)> |
#<alt (- (- 1 y) (log (+ 1 (neg x))))> |
#<alt (- 1 y)> |
#<alt (- 1 (log (/ x (+ y -1))))> |
#<alt (log (/ x (+ y -1)))> |
#<alt (/ x (+ y -1))> |
#<alt (+ y -1)> |
#<alt (- 1 (log (+ 1 (/ y (- 1 y)))))> |
#<alt (log (+ 1 (/ y (- 1 y))))> |
#<alt (/ y (- 1 y))> |
| Outputs |
|---|
#<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 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 (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 y))) (- 1 y)) x))))> |
#<alt (+ (log (/ 1 (- 1 y))) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* 1/2 (/ (* (pow (+ 1 (/ y (- 1 y))) 2) (pow (- 1 y) 2)) x)) (* (+ 1 (/ y (- 1 y))) (- 1 y))) x))))> |
#<alt (+ (log (/ 1 (- 1 y))) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow (+ 1 (/ y (- 1 y))) 2) (pow (- 1 y) 2))) (* -1/3 (/ (* (pow (+ 1 (/ y (- 1 y))) 3) (pow (- 1 y) 3)) x))) x)) (* (+ 1 (/ y (- 1 y))) (- 1 y))) x))))> |
#<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 (/ (- x 1) y)> |
#<alt (* -1 (/ (- (+ (* -1 (- x 1)) (/ 1 y)) (/ x y)) y))> |
#<alt (* -1 (/ (+ (* -1 (- x 1)) (* -1 (/ (- (+ (* -1 (- 1 x)) (/ x y)) (/ 1 y)) y))) y))> |
#<alt (* -1 (/ (+ (* -1 (- x 1)) (* -1 (/ (+ (* -1 (- 1 x)) (* -1 (/ (- (+ (* -1 (- x 1)) (/ 1 y)) (/ x y)) y))) y))) 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 (/ y (- 1 y))) x)) (/ 1 (- 1 y)))))> |
#<alt (* -1 (* x (+ (* -1 (/ (+ 1 (/ y (- 1 y))) x)) (/ 1 (- 1 y)))))> |
#<alt (* -1 (* x (+ (* -1 (/ (+ 1 (/ y (- 1 y))) x)) (/ 1 (- 1 y)))))> |
#<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 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 (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 y))) (- 1 y)) x)) (+ (log (/ 1 (- 1 y))) (* -1 (log (/ -1 x)))))> |
#<alt (- (+ 1 (* -1 (/ (- (* -1/2 (/ (* (pow (+ 1 (/ y (- 1 y))) 2) (pow (- 1 y) 2)) x)) (* (+ 1 (/ y (- 1 y))) (- 1 y))) x))) (+ (log (/ 1 (- 1 y))) (* -1 (log (/ -1 x)))))> |
#<alt (- (+ 1 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ (* (pow (+ 1 (/ y (- 1 y))) 3) (pow (- 1 y) 3)) x)) (* -1/2 (* (pow (+ 1 (/ y (- 1 y))) 2) (pow (- 1 y) 2)))) x)) (* (+ 1 (/ y (- 1 y))) (- 1 y))) x))) (+ (log (/ 1 (- 1 y))) (* -1 (log (/ -1 x)))))> |
#<alt 1> |
#<alt (+ 1 y)> |
#<alt (+ 1 (* y (+ 1 y)))> |
#<alt (+ 1 (* y (+ 1 (* y (+ 1 y)))))> |
#<alt (/ -1 y)> |
#<alt (* -1 (/ (+ 1 (/ 1 y)) y))> |
#<alt (/ (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1) y)> |
#<alt (/ (- (* -1 (/ (+ 1 (/ 1 y)) (pow y 2))) (+ 1 (/ 1 y))) y)> |
#<alt (/ -1 y)> |
#<alt (* -1 (/ (+ 1 (/ 1 y)) y))> |
#<alt (* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y))> |
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1) y))) 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 x) (log (/ 1 (- y 1)))))> |
#<alt (- 1 (+ (log x) (log (/ 1 (- y 1)))))> |
#<alt (- 1 (+ (log x) (log (/ 1 (- y 1)))))> |
#<alt (- 1 (+ (log x) (log (/ 1 (- y 1)))))> |
#<alt (- 1 (+ (log (/ 1 (- y 1))) (* -1 (log (/ 1 x)))))> |
#<alt (- 1 (+ (log (/ 1 (- y 1))) (* -1 (log (/ 1 x)))))> |
#<alt (- 1 (+ (log (/ 1 (- y 1))) (* -1 (log (/ 1 x)))))> |
#<alt (- 1 (+ (log (/ 1 (- y 1))) (* -1 (log (/ 1 x)))))> |
#<alt (- 1 (+ (log (/ -1 (- y 1))) (* -1 (log (/ -1 x)))))> |
#<alt (- 1 (+ (log (/ -1 (- y 1))) (* -1 (log (/ -1 x)))))> |
#<alt (- 1 (+ (log (/ -1 (- y 1))) (* -1 (log (/ -1 x)))))> |
#<alt (- 1 (+ (log (/ -1 (- y 1))) (* -1 (log (/ -1 x)))))> |
#<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 (- (* y (- (* -1/3 y) 1/2)) 1))) (log (* -1 x)))> |
#<alt (- 1 (+ (log x) (log (/ 1 y))))> |
#<alt (- 1 (+ (log x) (+ (log (/ 1 y)) (/ 1 y))))> |
#<alt (- (+ 1 (* -1 (/ (+ 1 (* 1/2 (/ 1 y))) y))) (+ (log x) (log (/ 1 y))))> |
#<alt (- (+ 1 (* -1 (/ (+ 1/2 (* 1/3 (/ 1 y))) (pow y 2)))) (+ (log x) (+ (log (/ 1 y)) (/ 1 y))))> |
#<alt (- 1 (+ (log (* -1 x)) (log (/ -1 y))))> |
#<alt (- 1 (+ (log (* -1 x)) (+ (log (/ -1 y)) (/ 1 y))))> |
#<alt (- (+ 1 (* -1 (/ (+ 1 (* 1/2 (/ 1 y))) y))) (+ (log (* -1 x)) (log (/ -1 y))))> |
#<alt (- (+ 1 (* -1 (/ (+ 1 (+ (/ 1/3 (pow y 2)) (* 1/2 (/ 1 y)))) y))) (+ (log (* -1 x)) (log (/ -1 y))))> |
#<alt (+ (log x) (log (/ 1 (- y 1))))> |
#<alt (+ (log x) (log (/ 1 (- y 1))))> |
#<alt (+ (log x) (log (/ 1 (- y 1))))> |
#<alt (+ (log x) (log (/ 1 (- y 1))))> |
#<alt (+ (log (/ 1 (- y 1))) (* -1 (log (/ 1 x))))> |
#<alt (+ (log (/ 1 (- y 1))) (* -1 (log (/ 1 x))))> |
#<alt (+ (log (/ 1 (- y 1))) (* -1 (log (/ 1 x))))> |
#<alt (+ (log (/ 1 (- y 1))) (* -1 (log (/ 1 x))))> |
#<alt (+ (log (/ -1 (- y 1))) (* -1 (log (/ -1 x))))> |
#<alt (+ (log (/ -1 (- y 1))) (* -1 (log (/ -1 x))))> |
#<alt (+ (log (/ -1 (- y 1))) (* -1 (log (/ -1 x))))> |
#<alt (+ (log (/ -1 (- y 1))) (* -1 (log (/ -1 x))))> |
#<alt (log (* -1 x))> |
#<alt (+ y (log (* -1 x)))> |
#<alt (+ (log (* -1 x)) (* y (+ 1 (* 1/2 y))))> |
#<alt (+ (log (* -1 x)) (* y (+ 1 (* y (+ 1/2 (* 1/3 y))))))> |
#<alt (+ (log x) (log (/ 1 y)))> |
#<alt (+ (log x) (+ (log (/ 1 y)) (/ 1 y)))> |
#<alt (+ (log x) (+ (log (/ 1 y)) (+ (/ 1/2 (pow y 2)) (/ 1 y))))> |
#<alt (+ (log x) (+ (log (/ 1 y)) (+ (/ 1/2 (pow y 2)) (+ (/ 1 y) (* 1/3 (/ 1 (pow y 3)))))))> |
#<alt (+ (log (* -1 x)) (log (/ -1 y)))> |
#<alt (+ (log (* -1 x)) (+ (log (/ -1 y)) (/ 1 y)))> |
#<alt (+ (log (* -1 x)) (+ (log (/ -1 y)) (+ (/ 1/2 (pow y 2)) (/ 1 y))))> |
#<alt (+ (log (* -1 x)) (+ (log (/ -1 y)) (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 y))) y)) 1) 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> |
#<alt (+ 1 (* -1 y))> |
#<alt (+ 1 (* y (- (* -1/2 y) 1)))> |
#<alt (+ 1 (* y (- (* y (- (* -1/3 y) 1/2)) 1)))> |
#<alt (- 1 (+ (log -1) (log (/ 1 y))))> |
#<alt (- 1 (+ (log -1) (+ (log (/ 1 y)) (/ 1 y))))> |
#<alt (- (+ 1 (* -1 (/ (+ 1 (* 1/2 (/ 1 y))) y))) (+ (log -1) (log (/ 1 y))))> |
#<alt (- (+ 1 (* -1 (/ (+ 1/2 (* 1/3 (/ 1 y))) (pow y 2)))) (+ (log -1) (+ (log (/ 1 y)) (/ 1 y))))> |
#<alt (- 1 (log (/ -1 y)))> |
#<alt (- 1 (+ (log (/ -1 y)) (/ 1 y)))> |
#<alt (- (+ 1 (* -1 (/ (+ 1 (* 1/2 (/ 1 y))) y))) (log (/ -1 y)))> |
#<alt (- (+ 1 (* -1 (/ (+ 1 (+ (/ 1/3 (pow y 2)) (* 1/2 (/ 1 y)))) y))) (log (/ -1 y)))> |
#<alt y> |
#<alt (* y (+ 1 (* 1/2 y)))> |
#<alt (* y (+ 1 (* y (+ 1/2 (* 1/3 y)))))> |
#<alt (* y (+ 1 (* y (+ 1/2 (* y (+ 1/3 (* 1/4 y)))))))> |
#<alt (+ (log -1) (log (/ 1 y)))> |
#<alt (+ (log -1) (+ (log (/ 1 y)) (/ 1 y)))> |
#<alt (+ (log -1) (+ (log (/ 1 y)) (+ (/ 1/2 (pow y 2)) (/ 1 y))))> |
#<alt (+ (log -1) (+ (log (/ 1 y)) (+ (/ 1/2 (pow y 2)) (+ (/ 1 y) (* 1/3 (/ 1 (pow y 3)))))))> |
#<alt (log (/ -1 y))> |
#<alt (+ (log (/ -1 y)) (/ 1 y))> |
#<alt (+ (log (/ -1 y)) (+ (/ 1/2 (pow y 2)) (/ 1 y)))> |
#<alt (+ (log (/ -1 y)) (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 y))) y)) 1) y)))> |
#<alt y> |
#<alt (* y (+ 1 y))> |
#<alt (* y (+ 1 (* y (+ 1 y))))> |
#<alt (* y (+ 1 (* y (+ 1 (* y (+ 1 y))))))> |
#<alt -1> |
#<alt (* -1 (+ 1 (/ 1 y)))> |
#<alt (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1)> |
#<alt (- (* -1 (/ (+ 1 (/ 1 y)) (pow y 2))) (+ 1 (/ 1 y)))> |
#<alt -1> |
#<alt (* -1 (+ 1 (/ 1 y)))> |
#<alt (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1)> |
#<alt (- (* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y)) 1)> |
69 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 140.0ms | x | @ | 0 | (- 1 (log (/ x (+ y -1)))) |
| 18.0ms | x | @ | -inf | (- 1 (log (/ x (+ y -1)))) |
| 7.0ms | x | @ | inf | (- 1 (log (/ x (+ y -1)))) |
| 6.0ms | y | @ | 0 | (- (- 1 y) (log (+ 1 (neg x)))) |
| 2.0ms | y | @ | -inf | (log (+ (* (/ 1 (- 1 y)) (- y x)) 1)) |
| 1× | batch-egg-rewrite |
| 4 750× | accelerator-lowering-fma.f32 |
| 4 750× | accelerator-lowering-fma.f64 |
| 4 422× | /-lowering-/.f32 |
| 4 422× | /-lowering-/.f64 |
| 4 198× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 110 |
| 1 | 183 | 104 |
| 2 | 1698 | 104 |
| 0 | 9048 | 93 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(log (+ (* (/ 1 (- 1 y)) (- y x)) 1)) |
(+ (* (/ 1 (- 1 y)) (- y x)) 1) |
(- 1 (log (+ (* (/ 1 (- 1 y)) (- y x)) 1))) |
(/ 1 (- 1 y)) |
(- 1 (log (+ 1 (neg x)))) |
(log (+ 1 (neg x))) |
(neg x) |
(- (- 1 y) (log (+ 1 (neg x)))) |
(- 1 y) |
(- 1 (log (/ x (+ y -1)))) |
(log (/ x (+ y -1))) |
(/ x (+ y -1)) |
(+ y -1) |
(- 1 (log (+ 1 (/ y (- 1 y))))) |
(log (+ 1 (/ y (- 1 y)))) |
(/ y (- 1 y)) |
| Outputs |
|---|
(log.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y)))) |
(+.f64 (log1p.f64 (/.f64 (*.f64 (-.f64 y x) (*.f64 (-.f64 y x) (-.f64 y x))) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))))) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 (-.f64 y x) (-.f64 y x)) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))))))) |
(+.f64 (log.f64 (+.f64 (/.f64 (*.f64 (-.f64 y x) (-.f64 y x)) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))) #s(literal -1 binary64))) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64))))) |
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (+.f64 (/.f64 (*.f64 (-.f64 y x) (-.f64 y x)) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y)))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 y x) (*.f64 (-.f64 y x) (-.f64 y x))) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)))))))) |
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (+.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64)) (+.f64 (/.f64 (*.f64 (-.f64 y x) (-.f64 y x)) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))) #s(literal -1 binary64))))) |
(-.f64 (log1p.f64 (/.f64 (*.f64 (-.f64 y x) (*.f64 (-.f64 y x) (-.f64 y x))) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))))) (log.f64 (+.f64 (/.f64 (*.f64 (-.f64 y x) (-.f64 y x)) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y)))))) |
(-.f64 (log1p.f64 (/.f64 (*.f64 (-.f64 y x) (*.f64 (-.f64 y x) (-.f64 y x))) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))))) (log1p.f64 (/.f64 (-.f64 (*.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y)) (-.f64 y x)) (-.f64 y x)) (-.f64 #s(literal 1 binary64) y)))) |
(-.f64 (log.f64 (+.f64 (/.f64 (*.f64 (-.f64 y x) (-.f64 y x)) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))) #s(literal -1 binary64))) (log.f64 (+.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64)))) |
(-.f64 (log.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 y x) (*.f64 (-.f64 y x) (-.f64 y x))) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))))))) (log.f64 (neg.f64 (+.f64 (/.f64 (*.f64 (-.f64 y x) (-.f64 y x)) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))))))) |
(-.f64 (log.f64 (neg.f64 (+.f64 (/.f64 (*.f64 (-.f64 y x) (-.f64 y x)) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))) #s(literal -1 binary64)))) (log.f64 (neg.f64 (+.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64))))) |
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 y x) (-.f64 y x)) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))))) (log1p.f64 (neg.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))))) |
(neg.f64 (log.f64 (/.f64 (+.f64 (/.f64 (*.f64 (-.f64 y x) (-.f64 y x)) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y)))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 y x) (*.f64 (-.f64 y x) (-.f64 y x))) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)))))))) |
(neg.f64 (log.f64 (/.f64 (+.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64)) (+.f64 (/.f64 (*.f64 (-.f64 y x) (-.f64 y x)) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))) #s(literal -1 binary64))))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 (/.f64 (*.f64 (-.f64 y x) (*.f64 (-.f64 y x) (-.f64 y x))) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))))) #s(literal 3 binary64)) (pow.f64 (log.f64 (+.f64 (/.f64 (*.f64 (-.f64 y x) (-.f64 y x)) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))))) #s(literal 3 binary64))) (fma.f64 (log1p.f64 (/.f64 (*.f64 (-.f64 y x) (*.f64 (-.f64 y x) (-.f64 y x))) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))))) (log1p.f64 (/.f64 (*.f64 (-.f64 y x) (*.f64 (-.f64 y x) (-.f64 y x))) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))))) (fma.f64 (log.f64 (+.f64 (/.f64 (*.f64 (-.f64 y x) (-.f64 y x)) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))))) (log.f64 (+.f64 (/.f64 (*.f64 (-.f64 y x) (-.f64 y x)) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))))) (*.f64 (log1p.f64 (/.f64 (*.f64 (-.f64 y x) (*.f64 (-.f64 y x) (-.f64 y x))) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))))) (log.f64 (+.f64 (/.f64 (*.f64 (-.f64 y x) (-.f64 y x)) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))))))))) |
(/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 (/.f64 (*.f64 (-.f64 y x) (-.f64 y x)) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 (+.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (log.f64 (+.f64 (/.f64 (*.f64 (-.f64 y x) (-.f64 y x)) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))) #s(literal -1 binary64))) (log.f64 (+.f64 (/.f64 (*.f64 (-.f64 y x) (-.f64 y x)) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))) #s(literal -1 binary64))) (fma.f64 (log.f64 (+.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64))) (log.f64 (+.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64))) (*.f64 (log.f64 (+.f64 (/.f64 (*.f64 (-.f64 y x) (-.f64 y x)) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))) #s(literal -1 binary64))) (log.f64 (+.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64))))))) |
(log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))) |
(*.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y)))) |
(*.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))) |
(+.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) |
(-.f64 (/.f64 (/.f64 (*.f64 (-.f64 y x) (-.f64 y x)) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))) (+.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y)))) (/.f64 (/.f64 (*.f64 (-.f64 y x) (-.f64 y x)) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))))) |
(fma.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (-.f64 y x) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (/.f64 (-.f64 y x) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 y x) (+.f64 y #s(literal -1 binary64))) #s(literal 1 binary64)) |
(fma.f64 (-.f64 y x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (+.f64 #s(literal 1 binary64) (fma.f64 y y y)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 y y y)))) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (/.f64 (-.f64 y x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 y y y)))) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (/.f64 (-.f64 y x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))) (-.f64 #s(literal 1 binary64) y)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 y x) (*.f64 y y))) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 y x) (*.f64 y y))) (+.f64 y #s(literal -1 binary64))) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 y x) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 y y y)))) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 y x) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (-.f64 #s(literal 1 binary64) y)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y #s(literal -1 binary64))) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 y y y)))) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (-.f64 y x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) |
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(-.f64 (log1p.f64 (/.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))))) (log.f64 (+.f64 (/.f64 (*.f64 y y) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))) (-.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y)))))) |
(-.f64 (log1p.f64 (neg.f64 (/.f64 (*.f64 y y) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))))) (log1p.f64 (neg.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y))))) |
(-.f64 (log.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.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))))))) (log.f64 (neg.f64 (fma.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)) (-.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(-.f64 (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)))))) (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y)))))) |
(-.f64 (log.f64 (-.f64 (/.f64 (*.f64 y y) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64))) (log.f64 (-.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)))) |
(neg.f64 (log.f64 (/.f64 (fma.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)) (-.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.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)))))))) |
(neg.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))))))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 (/.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))))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (/.f64 (-.f64 (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)) y) y) (-.f64 #s(literal 1 binary64) y))) #s(literal 3 binary64))) (fma.f64 (log1p.f64 (/.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))))) (log1p.f64 (/.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))))) (fma.f64 (log1p.f64 (/.f64 (-.f64 (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)) y) y) (-.f64 #s(literal 1 binary64) y))) (log1p.f64 (/.f64 (-.f64 (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)) y) y) (-.f64 #s(literal 1 binary64) y))) (*.f64 (log1p.f64 (/.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))))) (log1p.f64 (/.f64 (-.f64 (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)) y) y) (-.f64 #s(literal 1 binary64) y))))))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 (neg.f64 (/.f64 (*.f64 y y) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (neg.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)))) #s(literal 3 binary64))) (fma.f64 (log1p.f64 (neg.f64 (/.f64 (*.f64 y y) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))))) (log1p.f64 (neg.f64 (/.f64 (*.f64 y y) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))))) (fma.f64 (log1p.f64 (neg.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)))) (log1p.f64 (neg.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)))) (*.f64 (log1p.f64 (neg.f64 (/.f64 (*.f64 y y) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))))) (log1p.f64 (neg.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)))))))) |
(log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y))) |
(*.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)))) |
(*.f64 (log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) |
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) y)) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) y)) (/.f64 y (neg.f64 (-.f64 #s(literal 1 binary64) y)))) |
(neg.f64 (/.f64 y (neg.f64 (-.f64 #s(literal 1 binary64) y)))) |
(neg.f64 (/.f64 (neg.f64 y) (-.f64 #s(literal 1 binary64) y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) y) y)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) y) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) y)))) |
(/.f64 y (-.f64 #s(literal 1 binary64) y)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) y))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) y) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 y) (neg.f64 (-.f64 #s(literal 1 binary64) y))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (neg.f64 (-.f64 #s(literal 1 binary64) y))) |
(/.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) y)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) y)))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) y))))) |
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) y) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) y) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y))) |
(*.f64 y (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) y) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (/.f64 y #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) (-.f64 #s(literal 1 binary64) y))) |
(*.f64 #s(literal -1 binary64) (/.f64 y (+.f64 y #s(literal -1 binary64)))) |
(*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) |
(*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y))) |
(*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (+.f64 #s(literal 1 binary64) (fma.f64 y y y))) |
(*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 y y y))))) |
(*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 y y))) (+.f64 #s(literal 1 binary64) y)) |
(*.f64 (/.f64 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 y (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 y y y))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (/.f64 y (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)))) |
(*.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y))) |
| 1× | egg-herbie |
| 5 666× | accelerator-lowering-fma.f32 |
| 5 666× | accelerator-lowering-fma.f64 |
| 4 972× | +-lowering-+.f64 |
| 4 972× | +-lowering-+.f32 |
| 3 110× | --lowering--.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 644 | 4263 |
| 1 | 2042 | 3505 |
| 2 | 6718 | 3404 |
| 0 | 8210 | 3257 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(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 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)))) |
(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 y))) (- 1 y)) x)))) |
(+ (log (/ 1 (- 1 y))) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* 1/2 (/ (* (pow (+ 1 (/ y (- 1 y))) 2) (pow (- 1 y) 2)) x)) (* (+ 1 (/ y (- 1 y))) (- 1 y))) x)))) |
(+ (log (/ 1 (- 1 y))) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow (+ 1 (/ y (- 1 y))) 2) (pow (- 1 y) 2))) (* -1/3 (/ (* (pow (+ 1 (/ y (- 1 y))) 3) (pow (- 1 y) 3)) x))) x)) (* (+ 1 (/ y (- 1 y))) (- 1 y))) x)))) |
(- 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) |
(/ (- x 1) y) |
(* -1 (/ (- (+ (* -1 (- x 1)) (/ 1 y)) (/ x y)) y)) |
(* -1 (/ (+ (* -1 (- x 1)) (* -1 (/ (- (+ (* -1 (- 1 x)) (/ x y)) (/ 1 y)) y))) y)) |
(* -1 (/ (+ (* -1 (- x 1)) (* -1 (/ (+ (* -1 (- 1 x)) (* -1 (/ (- (+ (* -1 (- x 1)) (/ 1 y)) (/ x y)) y))) y))) 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 (/ y (- 1 y))) x)) (/ 1 (- 1 y))))) |
(* -1 (* x (+ (* -1 (/ (+ 1 (/ y (- 1 y))) x)) (/ 1 (- 1 y))))) |
(* -1 (* x (+ (* -1 (/ (+ 1 (/ y (- 1 y))) x)) (/ 1 (- 1 y))))) |
(- 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 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 (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 y))) (- 1 y)) x)) (+ (log (/ 1 (- 1 y))) (* -1 (log (/ -1 x))))) |
(- (+ 1 (* -1 (/ (- (* -1/2 (/ (* (pow (+ 1 (/ y (- 1 y))) 2) (pow (- 1 y) 2)) x)) (* (+ 1 (/ y (- 1 y))) (- 1 y))) x))) (+ (log (/ 1 (- 1 y))) (* -1 (log (/ -1 x))))) |
(- (+ 1 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ (* (pow (+ 1 (/ y (- 1 y))) 3) (pow (- 1 y) 3)) x)) (* -1/2 (* (pow (+ 1 (/ y (- 1 y))) 2) (pow (- 1 y) 2)))) x)) (* (+ 1 (/ y (- 1 y))) (- 1 y))) x))) (+ (log (/ 1 (- 1 y))) (* -1 (log (/ -1 x))))) |
1 |
(+ 1 y) |
(+ 1 (* y (+ 1 y))) |
(+ 1 (* y (+ 1 (* y (+ 1 y))))) |
(/ -1 y) |
(* -1 (/ (+ 1 (/ 1 y)) y)) |
(/ (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1) y) |
(/ (- (* -1 (/ (+ 1 (/ 1 y)) (pow y 2))) (+ 1 (/ 1 y))) y) |
(/ -1 y) |
(* -1 (/ (+ 1 (/ 1 y)) y)) |
(* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1) y))) 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 x) (log (/ 1 (- y 1))))) |
(- 1 (+ (log x) (log (/ 1 (- y 1))))) |
(- 1 (+ (log x) (log (/ 1 (- y 1))))) |
(- 1 (+ (log x) (log (/ 1 (- y 1))))) |
(- 1 (+ (log (/ 1 (- y 1))) (* -1 (log (/ 1 x))))) |
(- 1 (+ (log (/ 1 (- y 1))) (* -1 (log (/ 1 x))))) |
(- 1 (+ (log (/ 1 (- y 1))) (* -1 (log (/ 1 x))))) |
(- 1 (+ (log (/ 1 (- y 1))) (* -1 (log (/ 1 x))))) |
(- 1 (+ (log (/ -1 (- y 1))) (* -1 (log (/ -1 x))))) |
(- 1 (+ (log (/ -1 (- y 1))) (* -1 (log (/ -1 x))))) |
(- 1 (+ (log (/ -1 (- y 1))) (* -1 (log (/ -1 x))))) |
(- 1 (+ (log (/ -1 (- y 1))) (* -1 (log (/ -1 x))))) |
(- 1 (log (* -1 x))) |
(- (+ 1 (* -1 y)) (log (* -1 x))) |
(- (+ 1 (* y (- (* -1/2 y) 1))) (log (* -1 x))) |
(- (+ 1 (* y (- (* y (- (* -1/3 y) 1/2)) 1))) (log (* -1 x))) |
(- 1 (+ (log x) (log (/ 1 y)))) |
(- 1 (+ (log x) (+ (log (/ 1 y)) (/ 1 y)))) |
(- (+ 1 (* -1 (/ (+ 1 (* 1/2 (/ 1 y))) y))) (+ (log x) (log (/ 1 y)))) |
(- (+ 1 (* -1 (/ (+ 1/2 (* 1/3 (/ 1 y))) (pow y 2)))) (+ (log x) (+ (log (/ 1 y)) (/ 1 y)))) |
(- 1 (+ (log (* -1 x)) (log (/ -1 y)))) |
(- 1 (+ (log (* -1 x)) (+ (log (/ -1 y)) (/ 1 y)))) |
(- (+ 1 (* -1 (/ (+ 1 (* 1/2 (/ 1 y))) y))) (+ (log (* -1 x)) (log (/ -1 y)))) |
(- (+ 1 (* -1 (/ (+ 1 (+ (/ 1/3 (pow y 2)) (* 1/2 (/ 1 y)))) y))) (+ (log (* -1 x)) (log (/ -1 y)))) |
(+ (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))) (* -1 (log (/ 1 x)))) |
(+ (log (/ 1 (- y 1))) (* -1 (log (/ 1 x)))) |
(+ (log (/ 1 (- y 1))) (* -1 (log (/ 1 x)))) |
(+ (log (/ 1 (- y 1))) (* -1 (log (/ 1 x)))) |
(+ (log (/ -1 (- y 1))) (* -1 (log (/ -1 x)))) |
(+ (log (/ -1 (- y 1))) (* -1 (log (/ -1 x)))) |
(+ (log (/ -1 (- y 1))) (* -1 (log (/ -1 x)))) |
(+ (log (/ -1 (- y 1))) (* -1 (log (/ -1 x)))) |
(log (* -1 x)) |
(+ y (log (* -1 x))) |
(+ (log (* -1 x)) (* y (+ 1 (* 1/2 y)))) |
(+ (log (* -1 x)) (* y (+ 1 (* y (+ 1/2 (* 1/3 y)))))) |
(+ (log x) (log (/ 1 y))) |
(+ (log x) (+ (log (/ 1 y)) (/ 1 y))) |
(+ (log x) (+ (log (/ 1 y)) (+ (/ 1/2 (pow y 2)) (/ 1 y)))) |
(+ (log x) (+ (log (/ 1 y)) (+ (/ 1/2 (pow y 2)) (+ (/ 1 y) (* 1/3 (/ 1 (pow y 3))))))) |
(+ (log (* -1 x)) (log (/ -1 y))) |
(+ (log (* -1 x)) (+ (log (/ -1 y)) (/ 1 y))) |
(+ (log (* -1 x)) (+ (log (/ -1 y)) (+ (/ 1/2 (pow y 2)) (/ 1 y)))) |
(+ (log (* -1 x)) (+ (log (/ -1 y)) (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 y))) y)) 1) 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 |
(+ 1 (* -1 y)) |
(+ 1 (* y (- (* -1/2 y) 1))) |
(+ 1 (* y (- (* y (- (* -1/3 y) 1/2)) 1))) |
(- 1 (+ (log -1) (log (/ 1 y)))) |
(- 1 (+ (log -1) (+ (log (/ 1 y)) (/ 1 y)))) |
(- (+ 1 (* -1 (/ (+ 1 (* 1/2 (/ 1 y))) y))) (+ (log -1) (log (/ 1 y)))) |
(- (+ 1 (* -1 (/ (+ 1/2 (* 1/3 (/ 1 y))) (pow y 2)))) (+ (log -1) (+ (log (/ 1 y)) (/ 1 y)))) |
(- 1 (log (/ -1 y))) |
(- 1 (+ (log (/ -1 y)) (/ 1 y))) |
(- (+ 1 (* -1 (/ (+ 1 (* 1/2 (/ 1 y))) y))) (log (/ -1 y))) |
(- (+ 1 (* -1 (/ (+ 1 (+ (/ 1/3 (pow y 2)) (* 1/2 (/ 1 y)))) y))) (log (/ -1 y))) |
y |
(* y (+ 1 (* 1/2 y))) |
(* y (+ 1 (* y (+ 1/2 (* 1/3 y))))) |
(* y (+ 1 (* y (+ 1/2 (* y (+ 1/3 (* 1/4 y))))))) |
(+ (log -1) (log (/ 1 y))) |
(+ (log -1) (+ (log (/ 1 y)) (/ 1 y))) |
(+ (log -1) (+ (log (/ 1 y)) (+ (/ 1/2 (pow y 2)) (/ 1 y)))) |
(+ (log -1) (+ (log (/ 1 y)) (+ (/ 1/2 (pow y 2)) (+ (/ 1 y) (* 1/3 (/ 1 (pow y 3))))))) |
(log (/ -1 y)) |
(+ (log (/ -1 y)) (/ 1 y)) |
(+ (log (/ -1 y)) (+ (/ 1/2 (pow y 2)) (/ 1 y))) |
(+ (log (/ -1 y)) (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 y))) y)) 1) y))) |
y |
(* y (+ 1 y)) |
(* y (+ 1 (* y (+ 1 y)))) |
(* y (+ 1 (* y (+ 1 (* y (+ 1 y)))))) |
-1 |
(* -1 (+ 1 (/ 1 y))) |
(- (* -1 (/ (+ 1 (/ 1 y)) y)) 1) |
(- (* -1 (/ (+ 1 (/ 1 y)) (pow y 2))) (+ 1 (/ 1 y))) |
-1 |
(* -1 (+ 1 (/ 1 y))) |
(- (* -1 (/ (+ 1 (/ 1 y)) y)) 1) |
(- (* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y)) 1) |
| Outputs |
|---|
(log (- 1 x)) |
(log1p.f64 (neg.f64 x)) |
(+ (log (- 1 x)) (* y (+ (* -1 (/ x (- 1 x))) (/ 1 (- 1 x))))) |
(+.f64 (log1p.f64 (neg.f64 x)) y) |
(+ (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)))))) |
(fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal 1 binary64)) (log1p.f64 (neg.f64 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)))))) |
(fma.f64 y (fma.f64 y (fma.f64 y #s(literal 1/3 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (log1p.f64 (neg.f64 x))) |
(+ (log (neg (+ 1 (* -1 x)))) (log (/ 1 y))) |
(-.f64 (log.f64 (+.f64 x #s(literal -1 binary64))) (log.f64 y)) |
(+ (log (neg (+ 1 (* -1 x)))) (+ (log (/ 1 y)) (* -1 (/ (- x 1) (* y (+ 1 (* -1 x))))))) |
(+.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 (log.f64 (+.f64 x #s(literal -1 binary64))) (log.f64 y))) |
(+ (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 (/.f64 #s(literal 1 binary64) y) (-.f64 (log.f64 (+.f64 x #s(literal -1 binary64))) (log.f64 y))) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) |
(+ (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))))))) |
(+.f64 (log.f64 (+.f64 x #s(literal -1 binary64))) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (log.f64 y))) (/.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 y y))))) |
(+ (log (* -1 (- x 1))) (log (/ -1 y))) |
(+.f64 (log1p.f64 (neg.f64 x)) (neg.f64 (log.f64 (neg.f64 y)))) |
(+ (log (* -1 (- x 1))) (+ (log (/ -1 y)) (* -1 (/ (- (/ 1 (- x 1)) (/ x (- x 1))) y)))) |
(+.f64 (log1p.f64 (neg.f64 x)) (+.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 (log.f64 (neg.f64 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)))) |
(+.f64 (neg.f64 (log.f64 (neg.f64 y))) (+.f64 (log1p.f64 (neg.f64 x)) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) y) #s(literal 1 binary64)) 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)))) |
(+.f64 (+.f64 (log1p.f64 (neg.f64 x)) (neg.f64 (log.f64 (neg.f64 y)))) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 0 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))) (fma.f64 #s(literal 6 binary64) (-.f64 (/.f64 #s(literal 0 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) (/.f64 (fma.f64 (neg.f64 x) #s(literal -6 binary64) #s(literal -6 binary64)) (+.f64 x #s(literal -1 binary64))))) y) #s(literal 1/2 binary64)) (neg.f64 y)) #s(literal 1 binary64)) y)) |
(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)))))) |
(fma.f64 x (fma.f64 x (/.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y))) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal -1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y)))))) (log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) 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)))))) |
(fma.f64 x (fma.f64 x (fma.f64 x (/.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y))) (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y)))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y))) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)))))) (/.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y))) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)))))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal -1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y)))))) (log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)))) |
(+ (log (neg (/ 1 (- 1 y)))) (* -1 (log (/ 1 x)))) |
(-.f64 (log.f64 x) (log.f64 (-.f64 #s(literal -1 binary64) (neg.f64 y)))) |
(+ (log (neg (/ 1 (- 1 y)))) (+ (* -1 (log (/ 1 x))) (* -1 (/ (* (+ 1 (/ y (- 1 y))) (- 1 y)) x)))) |
(-.f64 (fma.f64 (-.f64 #s(literal -1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y))) (/.f64 (-.f64 #s(literal 1 binary64) y) x) (log.f64 x)) (log.f64 (-.f64 #s(literal -1 binary64) (neg.f64 y)))) |
(+ (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)))))) |
(+.f64 (-.f64 (log.f64 x) (log.f64 (-.f64 #s(literal -1 binary64) (neg.f64 y)))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y))) (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 (-.f64 #s(literal 1 binary64) y) x)))) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal -1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) 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))) (* -1/3 (/ (* (pow (+ 1 (/ y (- 1 y))) 3) (pow (- 1 y) 3)) (pow x 3))))))) |
(+.f64 (-.f64 (log.f64 x) (log.f64 (-.f64 #s(literal -1 binary64) (neg.f64 y)))) (fma.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y))) (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y))))) (*.f64 (/.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))) #s(literal -1/3 binary64)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y))) (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 (-.f64 #s(literal 1 binary64) y) x)))) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal -1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y))))) x))) |
(+ (log (/ 1 (- 1 y))) (* -1 (log (/ -1 x)))) |
(-.f64 (neg.f64 (log1p.f64 (neg.f64 y))) (neg.f64 (log.f64 (neg.f64 x)))) |
(+ (log (/ 1 (- 1 y))) (+ (* -1 (log (/ -1 x))) (* -1 (/ (* (+ 1 (/ y (- 1 y))) (- 1 y)) x)))) |
(-.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal -1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y)))) x) (+.f64 (log1p.f64 (neg.f64 y)) (neg.f64 (log.f64 (neg.f64 x))))) |
(+ (log (/ 1 (- 1 y))) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* 1/2 (/ (* (pow (+ 1 (/ y (- 1 y))) 2) (pow (- 1 y) 2)) x)) (* (+ 1 (/ y (- 1 y))) (- 1 y))) x)))) |
(-.f64 (neg.f64 (log1p.f64 (neg.f64 y))) (+.f64 (neg.f64 (log.f64 (neg.f64 x))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y))) (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 (-.f64 #s(literal 1 binary64) y) x)))) (*.f64 (-.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y))))) x))) |
(+ (log (/ 1 (- 1 y))) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow (+ 1 (/ y (- 1 y))) 2) (pow (- 1 y) 2))) (* -1/3 (/ (* (pow (+ 1 (/ y (- 1 y))) 3) (pow (- 1 y) 3)) x))) x)) (* (+ 1 (/ y (- 1 y))) (- 1 y))) x)))) |
(-.f64 (-.f64 (neg.f64 (log1p.f64 (neg.f64 y))) (neg.f64 (log.f64 (neg.f64 x)))) (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y)))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y))) (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y)))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y))) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))))) x) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y))) (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y)))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)) #s(literal -1/2 binary64)))) x)) x)) |
(- 1 x) |
(-.f64 #s(literal 1 binary64) x) |
(- (+ 1 (* y (+ 1 (* -1 x)))) x) |
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(/ x y) |
(/.f64 x y) |
(/ (+ x (/ x y)) y) |
(/.f64 (+.f64 x (/.f64 x y)) y) |
(/ (- (+ x (/ x (pow y 2))) (* -1 (/ x y))) y) |
(/.f64 (+.f64 x (+.f64 (/.f64 x y) (/.f64 x (*.f64 y y)))) y) |
(/ (- (+ x (/ x (pow y 3))) (+ (* -1 (/ x y)) (* -1 (/ x (pow y 2))))) y) |
(/.f64 (+.f64 (/.f64 x (*.f64 y (*.f64 y y))) (+.f64 x (/.f64 (+.f64 x (/.f64 x y)) y))) y) |
(/ x y) |
(/.f64 x y) |
(* -1 (/ (+ (* -1 x) (* -1 (/ x y))) y)) |
(/.f64 (+.f64 x (/.f64 x y)) y) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ x (/ x y)) y))) y)) |
(/.f64 (+.f64 x (/.f64 (+.f64 x (/.f64 x y)) y)) y) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ x (* -1 (/ (+ (* -1 x) (* -1 (/ x y))) y))) y))) y)) |
(/.f64 (+.f64 x (/.f64 (+.f64 x (/.f64 (+.f64 x (/.f64 x y)) y)) y)) y) |
-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 (*.f64 y (/.f64 #s(literal -1 binary64) y))) |
(* y (- 1 (/ 1 y))) |
(+.f64 y (*.f64 y (/.f64 #s(literal -1 binary64) y))) |
(* y (- 1 (/ 1 y))) |
(+.f64 y (*.f64 y (/.f64 #s(literal -1 binary64) y))) |
y |
(* -1 (* y (- (/ 1 y) 1))) |
(neg.f64 (fma.f64 y (/.f64 #s(literal 1 binary64) y) (neg.f64 y))) |
(* -1 (* y (- (/ 1 y) 1))) |
(neg.f64 (fma.f64 y (/.f64 #s(literal 1 binary64) y) (neg.f64 y))) |
(* -1 (* y (- (/ 1 y) 1))) |
(neg.f64 (fma.f64 y (/.f64 #s(literal 1 binary64) y) (neg.f64 y))) |
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 (- (* y (- (* -1/3 y) 1/2)) 1))) |
(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)) |
(- 1 (+ (log -1) (log (/ 1 y)))) |
(-.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 y))) |
(- 1 (+ (log -1) (+ (log (/ 1 y)) (/ 1 y)))) |
(-.f64 (-.f64 #s(literal 1 binary64) (log.f64 #s(literal -1 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) y) (log.f64 y))) |
(- (+ 1 (* -1 (/ (+ 1 (* 1/2 (/ 1 y))) y))) (+ (log -1) (log (/ 1 y)))) |
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y)) y)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 y))) |
(- (+ 1 (* -1 (/ (+ 1/2 (* 1/3 (/ 1 y))) (pow y 2)))) (+ (log -1) (+ (log (/ 1 y)) (/ 1 y)))) |
(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) y)) (*.f64 y y))) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 y))) (/.f64 #s(literal -1 binary64) y)) |
(- 1 (log (/ -1 y))) |
(-.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (neg.f64 y)))) |
(- 1 (+ (log (/ -1 y)) (/ 1 y))) |
(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (log.f64 (neg.f64 y))))) |
(- (+ 1 (* -1 (/ (+ 1 (* 1/2 (/ 1 y))) y))) (log (/ -1 y))) |
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y)) y)) (neg.f64 (log.f64 (neg.f64 y)))) |
(- (+ 1 (* -1 (/ (+ 1 (+ (/ 1/3 (pow y 2)) (* 1/2 (/ 1 y)))) y))) (log (/ -1 y))) |
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 y y)))) y)) (neg.f64 (log.f64 (neg.f64 y)))) |
y |
(* y (+ 1 (* 1/2 y))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 y y) y) |
(* y (+ 1 (* y (+ 1/2 (* 1/3 y))))) |
(fma.f64 (*.f64 y y) (fma.f64 y #s(literal 1/3 binary64) #s(literal 1/2 binary64)) y) |
(* y (+ 1 (* y (+ 1/2 (* y (+ 1/3 (* 1/4 y))))))) |
(fma.f64 (*.f64 y y) (fma.f64 y (fma.f64 y #s(literal 1/4 binary64) #s(literal 1/3 binary64)) #s(literal 1/2 binary64)) y) |
(+ (log -1) (log (/ 1 y))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 y)) |
(+ (log -1) (+ (log (/ 1 y)) (/ 1 y))) |
(+.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 y))) |
(+ (log -1) (+ (log (/ 1 y)) (+ (/ 1/2 (pow y 2)) (/ 1 y)))) |
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (log.f64 y))) (log.f64 #s(literal -1 binary64))) |
(+ (log -1) (+ (log (/ 1 y)) (+ (/ 1/2 (pow y 2)) (+ (/ 1 y) (* 1/3 (/ 1 (pow y 3))))))) |
(+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (log.f64 y))) (/.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 y y))))) |
(log (/ -1 y)) |
(neg.f64 (log.f64 (neg.f64 y))) |
(+ (log (/ -1 y)) (/ 1 y)) |
(+.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 (log.f64 (neg.f64 y)))) |
(+ (log (/ -1 y)) (+ (/ 1/2 (pow y 2)) (/ 1 y))) |
(+.f64 (neg.f64 (log.f64 (neg.f64 y))) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1/2 binary64) (*.f64 y y)))) |
(+ (log (/ -1 y)) (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 y))) y)) 1) y))) |
(-.f64 (neg.f64 (log.f64 (neg.f64 y))) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) y)) y)) y)) |
y |
(* y (+ 1 y)) |
(fma.f64 y y y) |
(* y (+ 1 (* y (+ 1 y)))) |
(fma.f64 y (fma.f64 y y y) y) |
(* y (+ 1 (* y (+ 1 (* y (+ 1 y)))))) |
(fma.f64 y (fma.f64 y (fma.f64 y y y) y) y) |
-1 |
#s(literal -1 binary64) |
(* -1 (+ 1 (/ 1 y))) |
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) |
(- (* -1 (/ (+ 1 (/ 1 y)) y)) 1) |
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) y)) |
(- (* -1 (/ (+ 1 (/ 1 y)) (pow y 2))) (+ 1 (/ 1 y))) |
(+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) y)) y) #s(literal -1 binary64)) |
-1 |
#s(literal -1 binary64) |
(* -1 (+ 1 (/ 1 y))) |
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) |
(- (* -1 (/ (+ 1 (/ 1 y)) y)) 1) |
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) y)) |
(- (* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y)))) y)) |
Compiled 20 832 to 2 881 computations (86.2% saved)
27 alts after pruning (23 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 960 | 22 | 982 |
| Fresh | 6 | 1 | 7 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 0 | 0 |
| Total | 967 | 27 | 994 |
| Status | Accuracy | Program |
|---|---|---|
| 45.1% | (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)) | |
| 44.7% | (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) | |
| 46.9% | (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)) | |
| ▶ | 46.5% | (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
| 74.6% | (/.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))))))) | |
| 16.7% | (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y)) y)) (neg.f64 (log.f64 (neg.f64 y)))) | |
| ✓ | 64.1% | (-.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 x))) |
| 17.2% | (-.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 (log.f64 (neg.f64 y))))) | |
| 46.4% | (-.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) | |
| 18.2% | (-.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (neg.f64 y)))) | |
| 45.6% | (-.f64 #s(literal 1 binary64) (log1p.f64 (fma.f64 y y y))) | |
| ▶ | 74.7% | (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y)))) |
| ✓ | 45.5% | (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)))) |
| ▶ | 44.8% | (-.f64 #s(literal 1 binary64) (log1p.f64 y)) |
| ✓ | 76.3% | (-.f64 #s(literal 1 binary64) (log.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (-.f64 y x) #s(literal 1 binary64)))) |
| ▶ | 63.7% | (-.f64 #s(literal 1 binary64) (log.f64 (fma.f64 #s(literal 1 binary64) (-.f64 y x) #s(literal 1 binary64)))) |
| 38.0% | (-.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y))) | |
| 36.7% | (-.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal -1 binary64) (+.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) y))) y))) | |
| ✓ | 44.2% | (-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))))) |
| 25.2% | (-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x y))) | |
| 22.8% | (-.f64 #s(literal 1 binary64) (log.f64 (neg.f64 (fma.f64 x y x)))) | |
| 23.9% | (-.f64 #s(literal 1 binary64) (log.f64 (neg.f64 x))) | |
| 45.3% | (-.f64 #s(literal 1 binary64) y) | |
| 46.1% | (+.f64 #s(literal 1 binary64) (-.f64 x y)) | |
| 47.3% | (+.f64 #s(literal 1 binary64) x) | |
| 3.6% | (neg.f64 y) | |
| ▶ | 47.6% | #s(literal 1 binary64) |
Compiled 490 to 359 computations (26.7% saved)
| 1× | egg-herbie |
Found 12 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (-.f64 y x) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 1 binary64) (log.f64 (fma.f64 #s(literal 1 binary64) (-.f64 y x) #s(literal 1 binary64)))) |
| ✓ | cost-diff | 192 | (fma.f64 #s(literal 1 binary64) (-.f64 y x) #s(literal 1 binary64)) |
| ✓ | cost-diff | 192 | (log.f64 (fma.f64 #s(literal 1 binary64) (-.f64 y x) #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (log1p.f64 y) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 1 binary64) (log1p.f64 y)) |
| ✓ | cost-diff | 0 | (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (-.f64 y x) |
| ✓ | cost-diff | 0 | (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y)) |
| ✓ | cost-diff | 0 | (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y)))) |
| 1 212× | accelerator-lowering-fma.f32 |
| 1 212× | accelerator-lowering-fma.f64 |
| 496× | *-lowering-*.f32 |
| 496× | *-lowering-*.f64 |
| 408× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 93 |
| 1 | 51 | 93 |
| 2 | 104 | 93 |
| 3 | 189 | 93 |
| 4 | 310 | 93 |
| 5 | 524 | 93 |
| 6 | 853 | 93 |
| 7 | 1296 | 93 |
| 8 | 1471 | 93 |
| 9 | 1730 | 93 |
| 10 | 1805 | 93 |
| 11 | 1811 | 93 |
| 0 | 1811 | 78 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(- 1 (log (+ 1 (/ (- y x) (- 1 y))))) |
1 |
(log (+ 1 (/ (- y x) (- 1 y)))) |
(/ (- y x) (- 1 y)) |
(- y x) |
y |
x |
(- 1 y) |
1 |
(+ (* x (+ (* x 1/2) 1)) 1) |
x |
(+ (* x 1/2) 1) |
1/2 |
1 |
(- 1 (log (+ 1 y))) |
1 |
(log (+ 1 y)) |
y |
(- 1 (log (+ (* 1 (- y x)) 1))) |
1 |
(log (+ (* 1 (- y x)) 1)) |
(+ (* 1 (- y x)) 1) |
(- y x) |
y |
x |
| Outputs |
|---|
(- 1 (log (+ 1 (/ (- y x) (- 1 y))))) |
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y)))) |
1 |
#s(literal 1 binary64) |
(log (+ 1 (/ (- y x) (- 1 y)))) |
(log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))) |
(/ (- y x) (- 1 y)) |
(/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y)) |
(- y x) |
(-.f64 y x) |
y |
x |
(- 1 y) |
(-.f64 #s(literal 1 binary64) y) |
1 |
#s(literal 1 binary64) |
(+ (* x (+ (* x 1/2) 1)) 1) |
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
x |
(+ (* x 1/2) 1) |
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
1 |
#s(literal 1 binary64) |
(- 1 (log (+ 1 y))) |
(-.f64 #s(literal 1 binary64) (log1p.f64 y)) |
1 |
#s(literal 1 binary64) |
(log (+ 1 y)) |
(log1p.f64 y) |
y |
(- 1 (log (+ (* 1 (- y x)) 1))) |
(-.f64 #s(literal 1 binary64) (log1p.f64 (-.f64 y x))) |
1 |
#s(literal 1 binary64) |
(log (+ (* 1 (- y x)) 1)) |
(log1p.f64 (-.f64 y x)) |
(+ (* 1 (- y x)) 1) |
(+.f64 #s(literal 1 binary64) (-.f64 y x)) |
(- y x) |
(-.f64 y x) |
y |
x |
Found 12 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (fma.f64 #s(literal 1 binary64) (-.f64 y x) #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (-.f64 y x) |
| ✓ | accuracy | 100.0% | (-.f64 #s(literal 1 binary64) (log.f64 (fma.f64 #s(literal 1 binary64) (-.f64 y x) #s(literal 1 binary64)))) |
| ✓ | accuracy | 59.1% | (log.f64 (fma.f64 #s(literal 1 binary64) (-.f64 y x) #s(literal 1 binary64))) |
| ✓ | accuracy | 100.0% | (-.f64 #s(literal 1 binary64) (log1p.f64 y)) |
| ✓ | accuracy | 100.0% | (log1p.f64 y) |
| ✓ | accuracy | 100.0% | (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y)))) |
| ✓ | accuracy | 100.0% | (-.f64 #s(literal 1 binary64) y) |
| ✓ | accuracy | 100.0% | (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y)) |
| ✓ | accuracy | 93.6% | (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))) |
| 35.0ms | 110× | 1 | valid |
| 11.0ms | 76× | 0 | invalid |
| 9.0ms | 56× | 0 | valid |
| 7.0ms | 13× | 2 | valid |
| 1.0ms | 1× | 3 | valid |
Compiled 87 to 21 computations (75.9% saved)
ival-log: 10.0ms (22.2% of total)ival-sub: 9.0ms (20% of total)ival-log1p: 7.0ms (15.5% of total)ival-mult: 6.0ms (13.3% of total)adjust: 5.0ms (11.1% of total)ival-add: 5.0ms (11.1% of total)ival-div: 3.0ms (6.7% of total)ival-assert: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (- 1 (log (+ 1 (/ (- y x) (- 1 y)))))> |
#<alt (log (+ 1 (/ (- y x) (- 1 y))))> |
#<alt (/ (- y x) (- 1 y))> |
#<alt (- y x)> |
#<alt (+ (* x (+ (* x 1/2) 1)) 1)> |
#<alt (+ (* x 1/2) 1)> |
#<alt (- 1 (log (+ 1 y)))> |
#<alt (log (+ 1 y))> |
#<alt (log (+ (* 1 (- y x)) 1))> |
#<alt (+ (* 1 (- y x)) 1)> |
#<alt (- 1 (log (+ (* 1 (- y x)) 1)))> |
#<alt (- 1 y)> |
| Outputs |
|---|
#<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 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 (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 y))) (- 1 y)) x)) (+ (log (/ 1 (- 1 y))) (* -1 (log (/ -1 x)))))> |
#<alt (- (+ 1 (* -1 (/ (- (* -1/2 (/ (* (pow (+ 1 (/ y (- 1 y))) 2) (pow (- 1 y) 2)) x)) (* (+ 1 (/ y (- 1 y))) (- 1 y))) x))) (+ (log (/ 1 (- 1 y))) (* -1 (log (/ -1 x)))))> |
#<alt (- (+ 1 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ (* (pow (+ 1 (/ y (- 1 y))) 3) (pow (- 1 y) 3)) x)) (* -1/2 (* (pow (+ 1 (/ y (- 1 y))) 2) (pow (- 1 y) 2)))) x)) (* (+ 1 (/ y (- 1 y))) (- 1 y))) x))) (+ (log (/ 1 (- 1 y))) (* -1 (log (/ -1 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 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 (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 y))) (- 1 y)) x))))> |
#<alt (+ (log (/ 1 (- 1 y))) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* 1/2 (/ (* (pow (+ 1 (/ y (- 1 y))) 2) (pow (- 1 y) 2)) x)) (* (+ 1 (/ y (- 1 y))) (- 1 y))) x))))> |
#<alt (+ (log (/ 1 (- 1 y))) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow (+ 1 (/ y (- 1 y))) 2) (pow (- 1 y) 2))) (* -1/3 (/ (* (pow (+ 1 (/ y (- 1 y))) 3) (pow (- 1 y) 3)) x))) x)) (* (+ 1 (/ y (- 1 y))) (- 1 y))) x))))> |
#<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 (/ y (- 1 y))> |
#<alt (+ (* -1 (/ x (- 1 y))) (/ y (- 1 y)))> |
#<alt (+ (* -1 (/ x (- 1 y))) (/ y (- 1 y)))> |
#<alt (+ (* -1 (/ x (- 1 y))) (/ y (- 1 y)))> |
#<alt (* -1 (/ x (- 1 y)))> |
#<alt (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))> |
#<alt (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))> |
#<alt (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))> |
#<alt (* -1 (/ x (- 1 y)))> |
#<alt (* -1 (* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))))> |
#<alt (* -1 (* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))))> |
#<alt (* -1 (* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))))> |
#<alt (* -1 x)> |
#<alt (- y x)> |
#<alt (- y x)> |
#<alt (- y x)> |
#<alt y> |
#<alt (* y (+ 1 (* -1 (/ x y))))> |
#<alt (* y (+ 1 (* -1 (/ x y))))> |
#<alt (* y (+ 1 (* -1 (/ x y))))> |
#<alt y> |
#<alt (* -1 (* y (- (/ x y) 1)))> |
#<alt (* -1 (* y (- (/ x y) 1)))> |
#<alt (* -1 (* y (- (/ x y) 1)))> |
#<alt y> |
#<alt (+ y (* -1 x))> |
#<alt (+ y (* -1 x))> |
#<alt (+ y (* -1 x))> |
#<alt (* -1 x)> |
#<alt (* x (- (/ y x) 1))> |
#<alt (* x (- (/ y x) 1))> |
#<alt (* x (- (/ y x) 1))> |
#<alt (* -1 x)> |
#<alt (* -1 (* x (+ 1 (* -1 (/ y x)))))> |
#<alt (* -1 (* x (+ 1 (* -1 (/ y x)))))> |
#<alt (* -1 (* x (+ 1 (* -1 (/ y x)))))> |
#<alt 1> |
#<alt (+ 1 x)> |
#<alt (+ 1 (* x (+ 1 (* 1/2 x))))> |
#<alt (+ 1 (* x (+ 1 (* 1/2 x))))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/2 (/ 1 x)))> |
#<alt (* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/2 (/ 1 x)))> |
#<alt (* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))))> |
#<alt 1> |
#<alt (+ 1 (* 1/2 x))> |
#<alt (+ 1 (* 1/2 x))> |
#<alt (+ 1 (* 1/2 x))> |
#<alt (* 1/2 x)> |
#<alt (* x (+ 1/2 (/ 1 x)))> |
#<alt (* x (+ 1/2 (/ 1 x)))> |
#<alt (* x (+ 1/2 (/ 1 x)))> |
#<alt (* 1/2 x)> |
#<alt (* x (+ 1/2 (/ 1 x)))> |
#<alt (* x (+ 1/2 (/ 1 x)))> |
#<alt (* x (+ 1/2 (/ 1 x)))> |
#<alt 1> |
#<alt (+ 1 (* -1 y))> |
#<alt (+ 1 (* y (- (* 1/2 y) 1)))> |
#<alt (+ 1 (* y (- (* y (+ 1/2 (* -1/3 y))) 1)))> |
#<alt (- 1 (* -1 (log (/ 1 y))))> |
#<alt (- 1 (+ (* -1 (log (/ 1 y))) (/ 1 y)))> |
#<alt (- (+ 1 (/ 1/2 (pow y 2))) (+ (* -1 (log (/ 1 y))) (/ 1 y)))> |
#<alt (- (+ 1 (/ 1/2 (pow y 2))) (+ (* -1 (log (/ 1 y))) (+ (/ 1 y) (* 1/3 (/ 1 (pow y 3))))))> |
#<alt (- 1 (+ (log -1) (* -1 (log (/ -1 y)))))> |
#<alt (- 1 (+ (log -1) (+ (* -1 (log (/ -1 y))) (/ 1 y))))> |
#<alt (- (+ 1 (* -1 (/ (- 1 (* 1/2 (/ 1 y))) y))) (+ (log -1) (* -1 (log (/ -1 y)))))> |
#<alt (- (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 y))) y))) y))) (+ (log -1) (* -1 (log (/ -1 y)))))> |
#<alt y> |
#<alt (* y (+ 1 (* -1/2 y)))> |
#<alt (* y (+ 1 (* y (- (* 1/3 y) 1/2))))> |
#<alt (* y (+ 1 (* y (- (* y (+ 1/3 (* -1/4 y))) 1/2))))> |
#<alt (* -1 (log (/ 1 y)))> |
#<alt (+ (* -1 (log (/ 1 y))) (/ 1 y))> |
#<alt (- (+ (* -1 (log (/ 1 y))) (/ 1 y)) (/ 1/2 (pow y 2)))> |
#<alt (- (+ (* -1 (log (/ 1 y))) (+ (/ 1 y) (* 1/3 (/ 1 (pow y 3))))) (/ 1/2 (pow y 2)))> |
#<alt (+ (log -1) (* -1 (log (/ -1 y))))> |
#<alt (+ (log -1) (+ (* -1 (log (/ -1 y))) (/ 1 y)))> |
#<alt (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* 1/2 (/ 1 y)) 1) y))))> |
#<alt (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 y)) 1/2) y)) 1) y))))> |
#<alt (log (- 1 x))> |
#<alt (+ (log (- 1 x)) (/ y (- 1 x)))> |
#<alt (+ (log (- 1 x)) (* y (+ (* -1/2 (/ y (pow (- 1 x) 2))) (/ 1 (- 1 x)))))> |
#<alt (+ (log (- 1 x)) (* y (+ (* y (- (* 1/3 (/ y (pow (- 1 x) 3))) (* 1/2 (/ 1 (pow (- 1 x) 2))))) (/ 1 (- 1 x)))))> |
#<alt (* -1 (log (/ 1 y)))> |
#<alt (- (+ (* -1 (log (/ 1 y))) (/ 1 y)) (/ x y))> |
#<alt (- (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (pow (- 1 x) 2) (pow y 2))) (/ 1 y))) (/ x y))> |
#<alt (- (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (pow (- 1 x) 2) (pow y 2))) (+ (* 1/3 (/ (pow (- 1 x) 3) (pow y 3))) (/ 1 y)))) (/ x y))> |
#<alt (+ (log -1) (* -1 (log (/ -1 y))))> |
#<alt (+ (log -1) (+ (* -1 (log (/ -1 y))) (+ (* -1 (/ x y)) (/ 1 y))))> |
#<alt (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (* -1 (+ 1 (* -1 x))) (* 1/2 (/ (pow (+ 1 (* -1 x)) 2) y))) y))))> |
#<alt (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (* -1 (+ 1 (* -1 x))) (* -1 (/ (+ (* -1/2 (pow (+ 1 (* -1 x)) 2)) (* 1/3 (/ (pow (+ 1 (* -1 x)) 3) y))) y))) y))))> |
#<alt (log (+ 1 y))> |
#<alt (+ (log (+ 1 y)) (* -1 (/ x (+ 1 y))))> |
#<alt (+ (log (+ 1 y)) (* x (- (* -1/2 (/ x (pow (+ 1 y) 2))) (/ 1 (+ 1 y)))))> |
#<alt (+ (log (+ 1 y)) (* x (- (* x (- (* -1/3 (/ x (pow (+ 1 y) 3))) (* 1/2 (/ 1 (pow (+ 1 y) 2))))) (/ 1 (+ 1 y)))))> |
#<alt (+ (log -1) (* -1 (log (/ 1 x))))> |
#<alt (+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1 y) x))))> |
#<alt (+ (log -1) (+ (* -1 (log (/ 1 x))) (+ (* -1 (/ (+ 1 y) x)) (* -1/2 (/ (pow (+ 1 y) 2) (pow x 2))))))> |
#<alt (+ (log -1) (+ (* -1 (log (/ 1 x))) (+ (* -1 (/ (+ 1 y) x)) (+ (* -1/2 (/ (pow (+ 1 y) 2) (pow x 2))) (* -1/3 (/ (pow (+ 1 y) 3) (pow x 3)))))))> |
#<alt (* -1 (log (/ -1 x)))> |
#<alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 y) x)))> |
#<alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (+ y (* 1/2 (/ (pow (+ 1 y) 2) x)))) x)))> |
#<alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (+ y (* -1 (/ (+ (* -1/2 (pow (+ 1 y) 2)) (* -1/3 (/ (pow (+ 1 y) 3) x))) x)))) x)))> |
#<alt (- 1 x)> |
#<alt (- (+ 1 y) x)> |
#<alt (- (+ 1 y) x)> |
#<alt (- (+ 1 y) x)> |
#<alt y> |
#<alt (* y (- (+ 1 (/ 1 y)) (/ x y)))> |
#<alt (* y (- (+ 1 (/ 1 y)) (/ x y)))> |
#<alt (* y (- (+ 1 (/ 1 y)) (/ x y)))> |
#<alt y> |
#<alt (* -1 (* y (- (* -1 (/ (+ 1 (* -1 x)) y)) 1)))> |
#<alt (* -1 (* y (- (* -1 (/ (+ 1 (* -1 x)) y)) 1)))> |
#<alt (* -1 (* y (- (* -1 (/ (+ 1 (* -1 x)) y)) 1)))> |
#<alt (+ 1 y)> |
#<alt (+ 1 (+ y (* -1 x)))> |
#<alt (+ 1 (+ y (* -1 x)))> |
#<alt (+ 1 (+ y (* -1 x)))> |
#<alt (* -1 x)> |
#<alt (* x (- (+ (/ 1 x) (/ y x)) 1))> |
#<alt (* x (- (+ (/ 1 x) (/ y x)) 1))> |
#<alt (* x (- (+ (/ 1 x) (/ y x)) 1))> |
#<alt (* -1 x)> |
#<alt (* -1 (* x (+ 1 (* -1 (/ (+ 1 y) x)))))> |
#<alt (* -1 (* x (+ 1 (* -1 (/ (+ 1 y) x)))))> |
#<alt (* -1 (* x (+ 1 (* -1 (/ (+ 1 y) x)))))> |
#<alt (- 1 (log (- 1 x)))> |
#<alt (- (+ 1 (* -1 (/ y (- 1 x)))) (log (- 1 x)))> |
#<alt (- (+ 1 (* y (- (* 1/2 (/ y (pow (- 1 x) 2))) (/ 1 (- 1 x))))) (log (- 1 x)))> |
#<alt (- (+ 1 (* y (- (* y (+ (* -1/3 (/ y (pow (- 1 x) 3))) (* 1/2 (/ 1 (pow (- 1 x) 2))))) (/ 1 (- 1 x))))) (log (- 1 x)))> |
#<alt (- 1 (* -1 (log (/ 1 y))))> |
#<alt (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (/ 1 y)))> |
#<alt (- (+ 1 (+ (* 1/2 (/ (pow (- 1 x) 2) (pow y 2))) (/ x y))) (+ (* -1 (log (/ 1 y))) (/ 1 y)))> |
#<alt (- (+ 1 (+ (* -1/3 (/ (pow (- 1 x) 3) (pow y 3))) (/ x y))) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (pow (- 1 x) 2) (pow y 2))) (/ 1 y))))> |
#<alt (- 1 (+ (log -1) (* -1 (log (/ -1 y)))))> |
#<alt (- (+ 1 (* -1 (/ (+ 1 (* -1 x)) y))) (+ (log -1) (* -1 (log (/ -1 y)))))> |
#<alt (- (+ 1 (* -1 (/ (- (* -1/2 (/ (pow (+ 1 (* -1 x)) 2) y)) (* -1 (+ 1 (* -1 x)))) y))) (+ (log -1) (* -1 (log (/ -1 y)))))> |
#<alt (- (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1/3 (/ (pow (+ 1 (* -1 x)) 3) y)) (* -1/2 (pow (+ 1 (* -1 x)) 2))) y)) (* -1 (+ 1 (* -1 x)))) y))) (+ (log -1) (* -1 (log (/ -1 y)))))> |
#<alt (- 1 (log (+ 1 y)))> |
#<alt (- (+ 1 (/ x (+ 1 y))) (log (+ 1 y)))> |
#<alt (- (+ 1 (* x (+ (* 1/2 (/ x (pow (+ 1 y) 2))) (/ 1 (+ 1 y))))) (log (+ 1 y)))> |
#<alt (- (+ 1 (* x (+ (* x (+ (* 1/3 (/ x (pow (+ 1 y) 3))) (* 1/2 (/ 1 (pow (+ 1 y) 2))))) (/ 1 (+ 1 y))))) (log (+ 1 y)))> |
#<alt (- 1 (+ (log -1) (* -1 (log (/ 1 x)))))> |
#<alt (- (+ 1 (+ (/ 1 x) (/ y x))) (+ (log -1) (* -1 (log (/ 1 x)))))> |
#<alt (- (+ 1 (* 1/2 (/ (pow (+ 1 y) 2) (pow x 2)))) (+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1 y) x)))))> |
#<alt (- (+ 1 (* 1/3 (/ (pow (+ 1 y) 3) (pow x 3)))) (+ (log -1) (+ (* -1 (log (/ 1 x))) (+ (* -1 (/ (+ 1 y) x)) (* -1/2 (/ (pow (+ 1 y) 2) (pow x 2)))))))> |
#<alt (- 1 (* -1 (log (/ -1 x))))> |
#<alt (- (+ 1 (+ (/ 1 x) (/ y x))) (* -1 (log (/ -1 x))))> |
#<alt (- (+ 1 (* -1 (/ (- (* -1/2 (/ (pow (+ 1 y) 2) x)) (+ 1 y)) x))) (* -1 (log (/ -1 x))))> |
#<alt (- (+ 1 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ (pow (+ 1 y) 3) x)) (* -1/2 (pow (+ 1 y) 2))) x)) (+ 1 y)) x))) (* -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))))> |
57 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | inf | (- 1 (log (+ (* 1 (- y x)) 1))) |
| 0.0ms | x | @ | inf | (log (+ (* 1 (- y x)) 1)) |
| 0.0ms | y | @ | inf | (log (+ (* 1 (- y x)) 1)) |
| 0.0ms | y | @ | -inf | (log (+ (* 1 (- y x)) 1)) |
| 0.0ms | x | @ | 0 | (log (+ (* 1 (- y x)) 1)) |
| 1× | batch-egg-rewrite |
| 4 398× | /-lowering-/.f32 |
| 4 398× | /-lowering-/.f64 |
| 4 278× | *-lowering-*.f32 |
| 4 278× | *-lowering-*.f64 |
| 3 612× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 78 |
| 1 | 159 | 78 |
| 2 | 1429 | 78 |
| 0 | 8136 | 63 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- 1 (log (+ 1 (/ (- y x) (- 1 y))))) |
(log (+ 1 (/ (- y x) (- 1 y)))) |
(/ (- y x) (- 1 y)) |
(- y x) |
(+ (* x (+ (* x 1/2) 1)) 1) |
(+ (* x 1/2) 1) |
(- 1 (log (+ 1 y))) |
(log (+ 1 y)) |
(log (+ (* 1 (- y x)) 1)) |
(+ (* 1 (- y x)) 1) |
(- 1 (log (+ (* 1 (- y x)) 1))) |
(- 1 y) |
| Outputs |
|---|
(+.f64 #s(literal 1 binary64) (neg.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))))) |
(+.f64 (neg.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y)))) #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y)))) #s(literal 1 binary64))) (/.f64 (pow.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))) #s(literal 3 binary64)) (fma.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y)))) #s(literal 1 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))))) (/.f64 (pow.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y)))))) |
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(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (-.f64 y x)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (log1p.f64 (-.f64 y x)) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (neg.f64 (log1p.f64 (-.f64 y x))))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (-.f64 y x)) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (log1p.f64 (-.f64 y x)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (-.f64 y x)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (neg.f64 (log1p.f64 (-.f64 y x))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (log1p.f64 (-.f64 y x)) (+.f64 #s(literal 1 binary64) (log1p.f64 (-.f64 y x))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (-.f64 y x)) #s(literal 3 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (log1p.f64 (-.f64 y x))) (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (-.f64 y x)) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (-.f64 y x)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (log1p.f64 (-.f64 y x)) (+.f64 #s(literal 1 binary64) (log1p.f64 (-.f64 y x))) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (-.f64 y x)) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (log1p.f64 (-.f64 y x)) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (neg.f64 (log1p.f64 (-.f64 y x)))))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (-.f64 y x)) #s(literal 2 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (log1p.f64 (-.f64 y x))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (-.f64 y x)) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (log1p.f64 (-.f64 y x)))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (log1p.f64 (-.f64 y x)) (+.f64 #s(literal 1 binary64) (log1p.f64 (-.f64 y x))) #s(literal 1 binary64))) (*.f64 (fma.f64 (log1p.f64 (-.f64 y x)) (+.f64 #s(literal 1 binary64) (log1p.f64 (-.f64 y x))) #s(literal 1 binary64)) (pow.f64 (log1p.f64 (-.f64 y x)) #s(literal 3 binary64)))) (*.f64 (fma.f64 (log1p.f64 (-.f64 y x)) (+.f64 #s(literal 1 binary64) (log1p.f64 (-.f64 y x))) #s(literal 1 binary64)) (fma.f64 (log1p.f64 (-.f64 y x)) (+.f64 #s(literal 1 binary64) (log1p.f64 (-.f64 y x))) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (log1p.f64 (-.f64 y x)))) (*.f64 (+.f64 #s(literal 1 binary64) (log1p.f64 (-.f64 y x))) (pow.f64 (log1p.f64 (-.f64 y x)) #s(literal 2 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (log1p.f64 (-.f64 y x))) (+.f64 #s(literal 1 binary64) (log1p.f64 (-.f64 y x))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (-.f64 y x)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (log1p.f64 (-.f64 y x)) (+.f64 #s(literal 1 binary64) (log1p.f64 (-.f64 y x))) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (-.f64 y x)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (log1p.f64 (-.f64 y x)))))) |
(/.f64 (+.f64 (pow.f64 (neg.f64 (log1p.f64 (-.f64 y x))) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (log1p.f64 (-.f64 y x)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (log1p.f64 (-.f64 y x))) #s(literal 1 binary64))))) |
(pow.f64 (/.f64 (fma.f64 (log1p.f64 (-.f64 y x)) (+.f64 #s(literal 1 binary64) (log1p.f64 (-.f64 y x))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (-.f64 y x)) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (log1p.f64 (-.f64 y x))) (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (-.f64 y x)) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (-.f64 y x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (log1p.f64 (-.f64 y x)) (+.f64 #s(literal 1 binary64) (log1p.f64 (-.f64 y x))) #s(literal 1 binary64)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (-.f64 y x)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (log1p.f64 (-.f64 y x))))) |
(+.f64 #s(literal 1 binary64) (neg.f64 y)) |
(+.f64 (neg.f64 y) #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))) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 y y y))) (/.f64 (*.f64 y (*.f64 y y)) (+.f64 #s(literal 1 binary64) (fma.f64 y y y)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (neg.f64 y))) (/.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) (neg.f64 y)))) |
(fma.f64 #s(literal -1 binary64) y #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 y y y)) (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (*.f64 y y)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (+.f64 #s(literal 1 binary64) (fma.f64 y y y))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 y y) (*.f64 #s(literal 1 binary64) (neg.f64 y))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (+.f64 #s(literal 1 binary64) y)) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (neg.f64 y))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 y y y)) (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (*.f64 y y))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y))) (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) (neg.f64 y)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 y y y)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 y y) (*.f64 #s(literal 1 binary64) (neg.f64 y)))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (*.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 y y))) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 y y y))) (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 y y y)) (*.f64 y (*.f64 y y)))) (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 y y y)) (+.f64 #s(literal 1 binary64) (fma.f64 y y y)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)))) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) y)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))))) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 y y y))))) |
(/.f64 (fma.f64 (*.f64 y y) (neg.f64 y) #s(literal 1 binary64)) (fma.f64 y y (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) #s(literal 1 binary64))))) |
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 y y y)) (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (*.f64 y y))) #s(literal -1 binary64)) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 y y y)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (-.f64 #s(literal 1 binary64) y)) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (fma.f64 y (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))) |
| 1× | egg-herbie |
| 6 328× | accelerator-lowering-fma.f32 |
| 6 328× | accelerator-lowering-fma.f64 |
| 4 870× | +-lowering-+.f64 |
| 4 870× | +-lowering-+.f32 |
| 3 050× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 674 | 3979 |
| 1 | 2172 | 3111 |
| 2 | 7227 | 3099 |
| 0 | 8073 | 2940 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- 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 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 (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 y))) (- 1 y)) x)) (+ (log (/ 1 (- 1 y))) (* -1 (log (/ -1 x))))) |
(- (+ 1 (* -1 (/ (- (* -1/2 (/ (* (pow (+ 1 (/ y (- 1 y))) 2) (pow (- 1 y) 2)) x)) (* (+ 1 (/ y (- 1 y))) (- 1 y))) x))) (+ (log (/ 1 (- 1 y))) (* -1 (log (/ -1 x))))) |
(- (+ 1 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ (* (pow (+ 1 (/ y (- 1 y))) 3) (pow (- 1 y) 3)) x)) (* -1/2 (* (pow (+ 1 (/ y (- 1 y))) 2) (pow (- 1 y) 2)))) x)) (* (+ 1 (/ y (- 1 y))) (- 1 y))) x))) (+ (log (/ 1 (- 1 y))) (* -1 (log (/ -1 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 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)))) |
(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 y))) (- 1 y)) x)))) |
(+ (log (/ 1 (- 1 y))) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* 1/2 (/ (* (pow (+ 1 (/ y (- 1 y))) 2) (pow (- 1 y) 2)) x)) (* (+ 1 (/ y (- 1 y))) (- 1 y))) x)))) |
(+ (log (/ 1 (- 1 y))) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow (+ 1 (/ y (- 1 y))) 2) (pow (- 1 y) 2))) (* -1/3 (/ (* (pow (+ 1 (/ y (- 1 y))) 3) (pow (- 1 y) 3)) x))) x)) (* (+ 1 (/ y (- 1 y))) (- 1 y))) x)))) |
(* -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) |
(/ y (- 1 y)) |
(+ (* -1 (/ x (- 1 y))) (/ y (- 1 y))) |
(+ (* -1 (/ x (- 1 y))) (/ y (- 1 y))) |
(+ (* -1 (/ x (- 1 y))) (/ y (- 1 y))) |
(* -1 (/ x (- 1 y))) |
(* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y)))) |
(* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y)))) |
(* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y)))) |
(* -1 (/ x (- 1 y))) |
(* -1 (* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y))))) |
(* -1 (* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y))))) |
(* -1 (* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y))))) |
(* -1 x) |
(- y x) |
(- y x) |
(- y x) |
y |
(* y (+ 1 (* -1 (/ x y)))) |
(* y (+ 1 (* -1 (/ x y)))) |
(* y (+ 1 (* -1 (/ x y)))) |
y |
(* -1 (* y (- (/ x y) 1))) |
(* -1 (* y (- (/ x y) 1))) |
(* -1 (* y (- (/ x y) 1))) |
y |
(+ y (* -1 x)) |
(+ y (* -1 x)) |
(+ y (* -1 x)) |
(* -1 x) |
(* x (- (/ y x) 1)) |
(* x (- (/ y x) 1)) |
(* x (- (/ y x) 1)) |
(* -1 x) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
1 |
(+ 1 x) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (+ 1/2 (/ 1 x))) |
(* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2))))) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (+ 1/2 (/ 1 x))) |
(* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2))))) |
1 |
(+ 1 (* 1/2 x)) |
(+ 1 (* 1/2 x)) |
(+ 1 (* 1/2 x)) |
(* 1/2 x) |
(* x (+ 1/2 (/ 1 x))) |
(* x (+ 1/2 (/ 1 x))) |
(* x (+ 1/2 (/ 1 x))) |
(* 1/2 x) |
(* x (+ 1/2 (/ 1 x))) |
(* x (+ 1/2 (/ 1 x))) |
(* x (+ 1/2 (/ 1 x))) |
1 |
(+ 1 (* -1 y)) |
(+ 1 (* y (- (* 1/2 y) 1))) |
(+ 1 (* y (- (* y (+ 1/2 (* -1/3 y))) 1))) |
(- 1 (* -1 (log (/ 1 y)))) |
(- 1 (+ (* -1 (log (/ 1 y))) (/ 1 y))) |
(- (+ 1 (/ 1/2 (pow y 2))) (+ (* -1 (log (/ 1 y))) (/ 1 y))) |
(- (+ 1 (/ 1/2 (pow y 2))) (+ (* -1 (log (/ 1 y))) (+ (/ 1 y) (* 1/3 (/ 1 (pow y 3)))))) |
(- 1 (+ (log -1) (* -1 (log (/ -1 y))))) |
(- 1 (+ (log -1) (+ (* -1 (log (/ -1 y))) (/ 1 y)))) |
(- (+ 1 (* -1 (/ (- 1 (* 1/2 (/ 1 y))) y))) (+ (log -1) (* -1 (log (/ -1 y))))) |
(- (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 y))) y))) y))) (+ (log -1) (* -1 (log (/ -1 y))))) |
y |
(* y (+ 1 (* -1/2 y))) |
(* y (+ 1 (* y (- (* 1/3 y) 1/2)))) |
(* y (+ 1 (* y (- (* y (+ 1/3 (* -1/4 y))) 1/2)))) |
(* -1 (log (/ 1 y))) |
(+ (* -1 (log (/ 1 y))) (/ 1 y)) |
(- (+ (* -1 (log (/ 1 y))) (/ 1 y)) (/ 1/2 (pow y 2))) |
(- (+ (* -1 (log (/ 1 y))) (+ (/ 1 y) (* 1/3 (/ 1 (pow y 3))))) (/ 1/2 (pow y 2))) |
(+ (log -1) (* -1 (log (/ -1 y)))) |
(+ (log -1) (+ (* -1 (log (/ -1 y))) (/ 1 y))) |
(+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* 1/2 (/ 1 y)) 1) y)))) |
(+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 y)) 1/2) y)) 1) y)))) |
(log (- 1 x)) |
(+ (log (- 1 x)) (/ y (- 1 x))) |
(+ (log (- 1 x)) (* y (+ (* -1/2 (/ y (pow (- 1 x) 2))) (/ 1 (- 1 x))))) |
(+ (log (- 1 x)) (* y (+ (* y (- (* 1/3 (/ y (pow (- 1 x) 3))) (* 1/2 (/ 1 (pow (- 1 x) 2))))) (/ 1 (- 1 x))))) |
(* -1 (log (/ 1 y))) |
(- (+ (* -1 (log (/ 1 y))) (/ 1 y)) (/ x y)) |
(- (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (pow (- 1 x) 2) (pow y 2))) (/ 1 y))) (/ x y)) |
(- (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (pow (- 1 x) 2) (pow y 2))) (+ (* 1/3 (/ (pow (- 1 x) 3) (pow y 3))) (/ 1 y)))) (/ x y)) |
(+ (log -1) (* -1 (log (/ -1 y)))) |
(+ (log -1) (+ (* -1 (log (/ -1 y))) (+ (* -1 (/ x y)) (/ 1 y)))) |
(+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (* -1 (+ 1 (* -1 x))) (* 1/2 (/ (pow (+ 1 (* -1 x)) 2) y))) y)))) |
(+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (* -1 (+ 1 (* -1 x))) (* -1 (/ (+ (* -1/2 (pow (+ 1 (* -1 x)) 2)) (* 1/3 (/ (pow (+ 1 (* -1 x)) 3) y))) y))) y)))) |
(log (+ 1 y)) |
(+ (log (+ 1 y)) (* -1 (/ x (+ 1 y)))) |
(+ (log (+ 1 y)) (* x (- (* -1/2 (/ x (pow (+ 1 y) 2))) (/ 1 (+ 1 y))))) |
(+ (log (+ 1 y)) (* x (- (* x (- (* -1/3 (/ x (pow (+ 1 y) 3))) (* 1/2 (/ 1 (pow (+ 1 y) 2))))) (/ 1 (+ 1 y))))) |
(+ (log -1) (* -1 (log (/ 1 x)))) |
(+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1 y) x)))) |
(+ (log -1) (+ (* -1 (log (/ 1 x))) (+ (* -1 (/ (+ 1 y) x)) (* -1/2 (/ (pow (+ 1 y) 2) (pow x 2)))))) |
(+ (log -1) (+ (* -1 (log (/ 1 x))) (+ (* -1 (/ (+ 1 y) x)) (+ (* -1/2 (/ (pow (+ 1 y) 2) (pow x 2))) (* -1/3 (/ (pow (+ 1 y) 3) (pow x 3))))))) |
(* -1 (log (/ -1 x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 y) x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (+ y (* 1/2 (/ (pow (+ 1 y) 2) x)))) x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (+ y (* -1 (/ (+ (* -1/2 (pow (+ 1 y) 2)) (* -1/3 (/ (pow (+ 1 y) 3) x))) x)))) x))) |
(- 1 x) |
(- (+ 1 y) x) |
(- (+ 1 y) x) |
(- (+ 1 y) x) |
y |
(* y (- (+ 1 (/ 1 y)) (/ x y))) |
(* y (- (+ 1 (/ 1 y)) (/ x y))) |
(* y (- (+ 1 (/ 1 y)) (/ x y))) |
y |
(* -1 (* y (- (* -1 (/ (+ 1 (* -1 x)) y)) 1))) |
(* -1 (* y (- (* -1 (/ (+ 1 (* -1 x)) y)) 1))) |
(* -1 (* y (- (* -1 (/ (+ 1 (* -1 x)) y)) 1))) |
(+ 1 y) |
(+ 1 (+ y (* -1 x))) |
(+ 1 (+ y (* -1 x))) |
(+ 1 (+ y (* -1 x))) |
(* -1 x) |
(* x (- (+ (/ 1 x) (/ y x)) 1)) |
(* x (- (+ (/ 1 x) (/ y x)) 1)) |
(* x (- (+ (/ 1 x) (/ y x)) 1)) |
(* -1 x) |
(* -1 (* x (+ 1 (* -1 (/ (+ 1 y) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (+ 1 y) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (+ 1 y) x))))) |
(- 1 (log (- 1 x))) |
(- (+ 1 (* -1 (/ y (- 1 x)))) (log (- 1 x))) |
(- (+ 1 (* y (- (* 1/2 (/ y (pow (- 1 x) 2))) (/ 1 (- 1 x))))) (log (- 1 x))) |
(- (+ 1 (* y (- (* y (+ (* -1/3 (/ y (pow (- 1 x) 3))) (* 1/2 (/ 1 (pow (- 1 x) 2))))) (/ 1 (- 1 x))))) (log (- 1 x))) |
(- 1 (* -1 (log (/ 1 y)))) |
(- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (/ 1 y))) |
(- (+ 1 (+ (* 1/2 (/ (pow (- 1 x) 2) (pow y 2))) (/ x y))) (+ (* -1 (log (/ 1 y))) (/ 1 y))) |
(- (+ 1 (+ (* -1/3 (/ (pow (- 1 x) 3) (pow y 3))) (/ x y))) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (pow (- 1 x) 2) (pow y 2))) (/ 1 y)))) |
(- 1 (+ (log -1) (* -1 (log (/ -1 y))))) |
(- (+ 1 (* -1 (/ (+ 1 (* -1 x)) y))) (+ (log -1) (* -1 (log (/ -1 y))))) |
(- (+ 1 (* -1 (/ (- (* -1/2 (/ (pow (+ 1 (* -1 x)) 2) y)) (* -1 (+ 1 (* -1 x)))) y))) (+ (log -1) (* -1 (log (/ -1 y))))) |
(- (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1/3 (/ (pow (+ 1 (* -1 x)) 3) y)) (* -1/2 (pow (+ 1 (* -1 x)) 2))) y)) (* -1 (+ 1 (* -1 x)))) y))) (+ (log -1) (* -1 (log (/ -1 y))))) |
(- 1 (log (+ 1 y))) |
(- (+ 1 (/ x (+ 1 y))) (log (+ 1 y))) |
(- (+ 1 (* x (+ (* 1/2 (/ x (pow (+ 1 y) 2))) (/ 1 (+ 1 y))))) (log (+ 1 y))) |
(- (+ 1 (* x (+ (* x (+ (* 1/3 (/ x (pow (+ 1 y) 3))) (* 1/2 (/ 1 (pow (+ 1 y) 2))))) (/ 1 (+ 1 y))))) (log (+ 1 y))) |
(- 1 (+ (log -1) (* -1 (log (/ 1 x))))) |
(- (+ 1 (+ (/ 1 x) (/ y x))) (+ (log -1) (* -1 (log (/ 1 x))))) |
(- (+ 1 (* 1/2 (/ (pow (+ 1 y) 2) (pow x 2)))) (+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1 y) x))))) |
(- (+ 1 (* 1/3 (/ (pow (+ 1 y) 3) (pow x 3)))) (+ (log -1) (+ (* -1 (log (/ 1 x))) (+ (* -1 (/ (+ 1 y) x)) (* -1/2 (/ (pow (+ 1 y) 2) (pow x 2))))))) |
(- 1 (* -1 (log (/ -1 x)))) |
(- (+ 1 (+ (/ 1 x) (/ y x))) (* -1 (log (/ -1 x)))) |
(- (+ 1 (* -1 (/ (- (* -1/2 (/ (pow (+ 1 y) 2) x)) (+ 1 y)) x))) (* -1 (log (/ -1 x)))) |
(- (+ 1 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ (pow (+ 1 y) 3) x)) (* -1/2 (pow (+ 1 y) 2))) x)) (+ 1 y)) x))) (* -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)))) |
| Outputs |
|---|
(- 1 (log (- 1 x))) |
(-.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x))) |
(- (+ 1 (* -1 (* y (+ (* -1 (/ x (- 1 x))) (/ 1 (- 1 x)))))) (log (- 1 x))) |
(-.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 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))) |
(-.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 (* -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))) |
(fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/3 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x)))) |
(- 1 (+ (log (neg (+ 1 (* -1 x)))) (log (/ 1 y)))) |
(-.f64 (+.f64 #s(literal 1 binary64) (log.f64 y)) (log.f64 (+.f64 x #s(literal -1 binary64)))) |
(- (+ 1 (/ x (* y (+ 1 (* -1 x))))) (+ (log (neg (+ 1 (* -1 x)))) (+ (log (/ 1 y)) (/ 1 (* y (+ 1 (* -1 x))))))) |
(-.f64 (+.f64 (/.f64 x (fma.f64 y (neg.f64 x) y)) (-.f64 #s(literal 1 binary64) (log.f64 (+.f64 x #s(literal -1 binary64))))) (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (neg.f64 x) y)) (log.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 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 y y))) (-.f64 (log.f64 (+.f64 x #s(literal -1 binary64))) (log.f64 y))) (/.f64 #s(literal -1 binary64) y)) |
(- (+ 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 (+.f64 x #s(literal -1 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) y) (log.f64 y))) (/.f64 #s(literal 1/2 binary64) (*.f64 y y)))) |
(- 1 (+ (log (* -1 (- x 1))) (log (/ -1 y)))) |
(-.f64 (-.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x))) (neg.f64 (log.f64 (neg.f64 y)))) |
(- (+ 1 (* -1 (/ (- (/ x (- x 1)) (/ 1 (- x 1))) y))) (+ (log (* -1 (- x 1))) (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 (/ (+ 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)))) |
(+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) y)) y) (-.f64 (-.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x))) (neg.f64 (log.f64 (neg.f64 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)))) |
(-.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) y)) (neg.f64 y))) y)) (+.f64 (log1p.f64 (neg.f64 x)) (neg.f64 (log.f64 (neg.f64 y))))) |
(- 1 (log (+ 1 (/ y (- 1 y))))) |
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)))) |
(- (+ 1 (/ x (* (+ 1 (/ y (- 1 y))) (- 1 y)))) (log (+ 1 (/ y (- 1 y))))) |
(+.f64 (/.f64 x (*.f64 (-.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y))))) (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) 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))))) |
(fma.f64 x (fma.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y)))) (*.f64 (-.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y)))))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) (/.f64 y (-.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 (- 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))))) |
(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 #s(literal 1 binary64) y))) (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y)))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y))) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)))))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y)))) (*.f64 (-.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y))))))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y)))))) (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y))))) |
(- 1 (+ (log (neg (/ 1 (- 1 y)))) (* -1 (log (/ 1 x))))) |
(-.f64 #s(literal 1 binary64) (+.f64 (neg.f64 (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) y)))) (log.f64 x))) |
(- (+ 1 (/ (* (+ 1 (/ y (- 1 y))) (- 1 y)) x)) (+ (log (neg (/ 1 (- 1 y)))) (* -1 (log (/ 1 x))))) |
(-.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y))) (/.f64 (-.f64 #s(literal 1 binary64) y) x) #s(literal 1 binary64)) (+.f64 (neg.f64 (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) y)))) (log.f64 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))))) |
(-.f64 (fma.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y))) (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y)))) (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)) (*.f64 x x)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (+.f64 (neg.f64 (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) y)))) (-.f64 (log.f64 x) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y))) (/.f64 (-.f64 #s(literal 1 binary64) 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))))))) |
(-.f64 (fma.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y))) (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y))))) (*.f64 (/.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))) #s(literal 1/3 binary64)) #s(literal 1 binary64)) (+.f64 (neg.f64 (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) y)))) (+.f64 (log.f64 x) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y))) (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y)))) (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 (-.f64 #s(literal 1 binary64) y) x))) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y)))))) x)))) |
(- 1 (+ (log (/ 1 (- 1 y))) (* -1 (log (/ -1 x))))) |
(+.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (log1p.f64 (neg.f64 y)))) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(- (+ 1 (/ (* (+ 1 (/ y (- 1 y))) (- 1 y)) x)) (+ (log (/ 1 (- 1 y))) (* -1 (log (/ -1 x))))) |
(+.f64 (-.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y))) (/.f64 (-.f64 #s(literal 1 binary64) y) x) #s(literal 1 binary64)) (neg.f64 (log1p.f64 (neg.f64 y)))) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(- (+ 1 (* -1 (/ (- (* -1/2 (/ (* (pow (+ 1 (/ y (- 1 y))) 2) (pow (- 1 y) 2)) x)) (* (+ 1 (/ y (- 1 y))) (- 1 y))) x))) (+ (log (/ 1 (- 1 y))) (* -1 (log (/ -1 x))))) |
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y))) (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y)))) (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 (-.f64 #s(literal 1 binary64) y) x))) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y)))))) x)) (-.f64 (neg.f64 (log1p.f64 (neg.f64 y))) (log.f64 (/.f64 #s(literal -1 binary64) x)))) |
(- (+ 1 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ (* (pow (+ 1 (/ y (- 1 y))) 3) (pow (- 1 y) 3)) x)) (* -1/2 (* (pow (+ 1 (/ y (- 1 y))) 2) (pow (- 1 y) 2)))) x)) (* (+ 1 (/ y (- 1 y))) (- 1 y))) x))) (+ (log (/ 1 (- 1 y))) (* -1 (log (/ -1 x))))) |
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y)))) (*.f64 (-.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y))))) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y))) (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y))))) (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))) x) #s(literal 1/3 binary64)))) (neg.f64 x)) (*.f64 (-.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y))))) x)) (-.f64 (neg.f64 (log1p.f64 (neg.f64 y))) (log.f64 (/.f64 #s(literal -1 binary64) x)))) |
(log (- 1 x)) |
(log1p.f64 (neg.f64 x)) |
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(-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y)) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (log.f64 #s(literal -1 binary64)))) (-.f64 (log.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) y) x))) |
(- (+ 1 (* 1/3 (/ (pow (+ 1 y) 3) (pow x 3)))) (+ (log -1) (+ (* -1 (log (/ 1 x))) (+ (* -1 (/ (+ 1 y) x)) (* -1/2 (/ (pow (+ 1 y) 2) (pow x 2))))))) |
(-.f64 (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) (log.f64 #s(literal -1 binary64)))) (+.f64 (log.f64 x) (/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) y) (/.f64 (+.f64 #s(literal 1 binary64) y) x)) #s(literal -1 binary64)) y) x))) |
(- 1 (* -1 (log (/ -1 x)))) |
(+.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(- (+ 1 (+ (/ 1 x) (/ y x))) (* -1 (log (/ -1 x)))) |
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 y x) (log.f64 (/.f64 #s(literal -1 binary64) x)))) |
(- (+ 1 (* -1 (/ (- (* -1/2 (/ (pow (+ 1 y) 2) x)) (+ 1 y)) x))) (* -1 (log (/ -1 x)))) |
(+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) y) (/.f64 (+.f64 #s(literal 1 binary64) y) x)) #s(literal -1 binary64)) y) x))) |
(- (+ 1 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ (pow (+ 1 y) 3) x)) (* -1/2 (pow (+ 1 y) 2))) x)) (+ 1 y)) x))) (* -1 (log (/ -1 x)))) |
(+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 (+.f64 #s(literal 1 binary64) y) (/.f64 (+.f64 #s(literal 1 binary64) y) x))) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y)))) (neg.f64 x)) (+.f64 #s(literal 1 binary64) y)) x))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 y)) |
(-.f64 #s(literal 1 binary64) y) |
(+ 1 (* -1 y)) |
(-.f64 #s(literal 1 binary64) y) |
(+ 1 (* -1 y)) |
(-.f64 #s(literal 1 binary64) y) |
(* -1 y) |
(neg.f64 y) |
(* y (- (/ 1 y) 1)) |
(fma.f64 y (/.f64 #s(literal 1 binary64) y) (neg.f64 y)) |
(* y (- (/ 1 y) 1)) |
(fma.f64 y (/.f64 #s(literal 1 binary64) y) (neg.f64 y)) |
(* y (- (/ 1 y) 1)) |
(fma.f64 y (/.f64 #s(literal 1 binary64) y) (neg.f64 y)) |
(* -1 y) |
(neg.f64 y) |
(* -1 (* y (- 1 (/ 1 y)))) |
(neg.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)))) |
(* -1 (* y (- 1 (/ 1 y)))) |
(neg.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)))) |
(* -1 (* y (- 1 (/ 1 y)))) |
(neg.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)))) |
Compiled 14 652 to 2 284 computations (84.4% saved)
30 alts after pruning (22 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 706 | 4 | 710 |
| Fresh | 0 | 18 | 18 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 4 | 4 |
| Total | 707 | 30 | 737 |
| Status | Accuracy | Program |
|---|---|---|
| 46.5% | (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 x #s(literal 1 binary64))) | |
| 45.1% | (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)) | |
| ▶ | 44.7% | (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) |
| 46.9% | (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)) | |
| ✓ | 46.5% | (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
| 46.2% | (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) | |
| 74.6% | (/.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))))))) | |
| 16.7% | (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y)) y)) (neg.f64 (log.f64 (neg.f64 y)))) | |
| ✓ | 64.1% | (-.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 x))) |
| 17.2% | (-.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 (log.f64 (neg.f64 y))))) | |
| 46.4% | (-.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) | |
| 18.2% | (-.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (neg.f64 y)))) | |
| 45.6% | (-.f64 #s(literal 1 binary64) (log1p.f64 (fma.f64 y y y))) | |
| ✓ | 74.7% | (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y)))) |
| ✓ | 45.5% | (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)))) |
| 63.7% | (-.f64 #s(literal 1 binary64) (log1p.f64 (-.f64 y x))) | |
| ▶ | 75.6% | (-.f64 #s(literal 1 binary64) (log1p.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (-.f64 y x)))) |
| ✓ | 44.8% | (-.f64 #s(literal 1 binary64) (log1p.f64 y)) |
| ✓ | 76.3% | (-.f64 #s(literal 1 binary64) (log.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (-.f64 y x) #s(literal 1 binary64)))) |
| 38.0% | (-.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y))) | |
| 36.7% | (-.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal -1 binary64) (+.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) y))) y))) | |
| ✓ | 44.2% | (-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))))) |
| ▶ | 25.2% | (-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x y))) |
| 22.8% | (-.f64 #s(literal 1 binary64) (log.f64 (neg.f64 (fma.f64 x y x)))) | |
| ▶ | 23.9% | (-.f64 #s(literal 1 binary64) (log.f64 (neg.f64 x))) |
| 45.3% | (-.f64 #s(literal 1 binary64) y) | |
| 46.1% | (+.f64 #s(literal 1 binary64) (-.f64 x y)) | |
| 47.3% | (+.f64 #s(literal 1 binary64) x) | |
| ▶ | 3.6% | (neg.f64 y) |
| ✓ | 47.6% | #s(literal 1 binary64) |
Compiled 518 to 379 computations (26.8% saved)
| 1× | egg-herbie |
Found 13 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 | (neg.f64 x) |
| ✓ | cost-diff | 0 | (log.f64 (neg.f64 x)) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 1 binary64) (log.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 | (neg.f64 y) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) |
| ✓ | cost-diff | 0 | (log1p.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (-.f64 y x))) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 1 binary64) (log1p.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (-.f64 y x)))) |
| ✓ | cost-diff | 320 | (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (-.f64 y x)) |
| 1 068× | accelerator-lowering-fma.f32 |
| 1 068× | accelerator-lowering-fma.f64 |
| 480× | *-lowering-*.f32 |
| 480× | *-lowering-*.f64 |
| 344× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 98 |
| 1 | 50 | 92 |
| 2 | 102 | 92 |
| 3 | 208 | 92 |
| 4 | 403 | 92 |
| 5 | 655 | 92 |
| 6 | 1084 | 92 |
| 7 | 1510 | 92 |
| 8 | 1654 | 92 |
| 9 | 1681 | 92 |
| 10 | 1685 | 92 |
| 11 | 1688 | 92 |
| 12 | 1689 | 92 |
| 0 | 1689 | 85 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(- 1 (log (+ 1 (* (/ 1 (- 1 y)) (- y x))))) |
1 |
(log (+ 1 (* (/ 1 (- 1 y)) (- y x)))) |
(* (/ 1 (- 1 y)) (- y x)) |
(/ 1 (- 1 y)) |
(- 1 y) |
y |
(- y x) |
x |
(neg y) |
y |
(+ (* y (+ (* y -1/2) -1)) 1) |
y |
(+ (* y -1/2) -1) |
-1/2 |
-1 |
1 |
(- 1 (log (neg x))) |
1 |
(log (neg x)) |
(neg x) |
x |
(- 1 (log (/ x y))) |
1 |
(log (/ x y)) |
(/ x y) |
x |
y |
| Outputs |
|---|
(- 1 (log (+ 1 (* (/ 1 (- 1 y)) (- y x))))) |
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y)))) |
1 |
#s(literal 1 binary64) |
(log (+ 1 (* (/ 1 (- 1 y)) (- y x)))) |
(log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))) |
(* (/ 1 (- 1 y)) (- y x)) |
(/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y)) |
(/ 1 (- 1 y)) |
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) |
(- 1 y) |
(-.f64 #s(literal 1 binary64) y) |
y |
(- y x) |
(-.f64 y x) |
x |
(neg y) |
(neg.f64 y) |
y |
(+ (* y (+ (* y -1/2) -1)) 1) |
(fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) |
y |
(+ (* y -1/2) -1) |
(fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) |
-1/2 |
#s(literal -1/2 binary64) |
-1 |
#s(literal -1 binary64) |
1 |
#s(literal 1 binary64) |
(- 1 (log (neg x))) |
(-.f64 #s(literal 1 binary64) (log.f64 (neg.f64 x))) |
1 |
#s(literal 1 binary64) |
(log (neg x)) |
(log.f64 (neg.f64 x)) |
(neg x) |
(neg.f64 x) |
x |
(- 1 (log (/ x y))) |
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x y))) |
1 |
#s(literal 1 binary64) |
(log (/ x y)) |
(log.f64 (/.f64 x y)) |
(/ x y) |
(/.f64 x y) |
x |
y |
Found 13 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 | 91.3% | (log.f64 (/.f64 x y)) |
| ✓ | accuracy | 100.0% | (-.f64 #s(literal 1 binary64) (log.f64 (neg.f64 x))) |
| ✓ | accuracy | 100.0% | (neg.f64 x) |
| ✓ | accuracy | 100.0% | (log.f64 (neg.f64 x)) |
| ✓ | accuracy | 100.0% | (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) |
| ✓ | accuracy | 100.0% | (neg.f64 y) |
| ✓ | accuracy | 100.0% | (-.f64 #s(literal 1 binary64) (log1p.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (-.f64 y x)))) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) |
| ✓ | accuracy | 99.9% | (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (-.f64 y x)) |
| ✓ | accuracy | 89.3% | (log1p.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (-.f64 y x))) |
| 69.0ms | 68× | 0 | valid |
| 29.0ms | 160× | 0 | invalid |
| 14.0ms | 28× | 1 | valid |
Compiled 93 to 24 computations (74.2% saved)
ival-mult: 8.0ms (20.6% of total)ival-sub: 7.0ms (18% of total)ival-log1p: 7.0ms (18% of total)ival-div: 6.0ms (15.4% of total)ival-log: 5.0ms (12.9% of total)ival-add: 2.0ms (5.1% of total)ival-neg: 2.0ms (5.1% of total)adjust: 1.0ms (2.6% of total)ival-assert: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (* (/ 1 (- 1 y)) (- y x))> |
#<alt (- 1 (log (+ 1 (* (/ 1 (- 1 y)) (- y x)))))> |
#<alt (log (+ 1 (* (/ 1 (- 1 y)) (- y x))))> |
#<alt (/ 1 (- 1 y))> |
#<alt (neg y)> |
#<alt (+ (* y (+ (* y -1/2) -1)) 1)> |
#<alt (+ (* y -1/2) -1)> |
#<alt (- 1 (log (neg x)))> |
#<alt (log (neg x))> |
#<alt (neg x)> |
#<alt (- 1 (log (/ x y)))> |
#<alt (log (/ x y))> |
#<alt (/ x y)> |
| Outputs |
|---|
#<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 (/ y (- 1 y))> |
#<alt (+ (* -1 (/ x (- 1 y))) (/ y (- 1 y)))> |
#<alt (+ (* -1 (/ x (- 1 y))) (/ y (- 1 y)))> |
#<alt (+ (* -1 (/ x (- 1 y))) (/ y (- 1 y)))> |
#<alt (* -1 (/ x (- 1 y)))> |
#<alt (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))> |
#<alt (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))> |
#<alt (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))> |
#<alt (* -1 (/ x (- 1 y)))> |
#<alt (* -1 (* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))))> |
#<alt (* -1 (* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))))> |
#<alt (* -1 (* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))))> |
#<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 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 (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 y))) (- 1 y)) x)) (+ (log (/ 1 (- 1 y))) (* -1 (log (/ -1 x)))))> |
#<alt (- (+ 1 (* -1 (/ (- (* -1/2 (/ (* (pow (+ 1 (/ y (- 1 y))) 2) (pow (- 1 y) 2)) x)) (* (+ 1 (/ y (- 1 y))) (- 1 y))) x))) (+ (log (/ 1 (- 1 y))) (* -1 (log (/ -1 x)))))> |
#<alt (- (+ 1 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ (* (pow (+ 1 (/ y (- 1 y))) 3) (pow (- 1 y) 3)) x)) (* -1/2 (* (pow (+ 1 (/ y (- 1 y))) 2) (pow (- 1 y) 2)))) x)) (* (+ 1 (/ y (- 1 y))) (- 1 y))) x))) (+ (log (/ 1 (- 1 y))) (* -1 (log (/ -1 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 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 (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 y))) (- 1 y)) x))))> |
#<alt (+ (log (/ 1 (- 1 y))) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* 1/2 (/ (* (pow (+ 1 (/ y (- 1 y))) 2) (pow (- 1 y) 2)) x)) (* (+ 1 (/ y (- 1 y))) (- 1 y))) x))))> |
#<alt (+ (log (/ 1 (- 1 y))) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow (+ 1 (/ y (- 1 y))) 2) (pow (- 1 y) 2))) (* -1/3 (/ (* (pow (+ 1 (/ y (- 1 y))) 3) (pow (- 1 y) 3)) x))) x)) (* (+ 1 (/ y (- 1 y))) (- 1 y))) x))))> |
#<alt 1> |
#<alt (+ 1 y)> |
#<alt (+ 1 (* y (+ 1 y)))> |
#<alt (+ 1 (* y (+ 1 (* y (+ 1 y)))))> |
#<alt (/ -1 y)> |
#<alt (* -1 (/ (+ 1 (/ 1 y)) y))> |
#<alt (/ (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1) y)> |
#<alt (/ (- (* -1 (/ (+ 1 (/ 1 y)) (pow y 2))) (+ 1 (/ 1 y))) y)> |
#<alt (/ -1 y)> |
#<alt (* -1 (/ (+ 1 (/ 1 y)) y))> |
#<alt (* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y))> |
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1) y))) 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)> |
#<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 (+ (log -1) (log x)))> |
#<alt (- 1 (+ (log -1) (log x)))> |
#<alt (- 1 (+ (log -1) (log x)))> |
#<alt (- 1 (+ (log -1) (log x)))> |
#<alt (- 1 (+ (log -1) (* -1 (log (/ 1 x)))))> |
#<alt (- 1 (+ (log -1) (* -1 (log (/ 1 x)))))> |
#<alt (- 1 (+ (log -1) (* -1 (log (/ 1 x)))))> |
#<alt (- 1 (+ (log -1) (* -1 (log (/ 1 x)))))> |
#<alt (- 1 (* -1 (log (/ -1 x))))> |
#<alt (- 1 (* -1 (log (/ -1 x))))> |
#<alt (- 1 (* -1 (log (/ -1 x))))> |
#<alt (- 1 (* -1 (log (/ -1 x))))> |
#<alt (+ (log -1) (log x))> |
#<alt (+ (log -1) (log x))> |
#<alt (+ (log -1) (log x))> |
#<alt (+ (log -1) (log x))> |
#<alt (+ (log -1) (* -1 (log (/ 1 x))))> |
#<alt (+ (log -1) (* -1 (log (/ 1 x))))> |
#<alt (+ (log -1) (* -1 (log (/ 1 x))))> |
#<alt (+ (log -1) (* -1 (log (/ 1 x))))> |
#<alt (* -1 (log (/ -1 x)))> |
#<alt (* -1 (log (/ -1 x)))> |
#<alt (* -1 (log (/ -1 x)))> |
#<alt (* -1 (log (/ -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 x)> |
#<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 (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
57 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 142.0ms | y | @ | -inf | (- 1 (log (/ x y))) |
| 121.0ms | x | @ | 0 | (- 1 (log (neg x))) |
| 82.0ms | x | @ | inf | (- 1 (log (/ x y))) |
| 14.0ms | x | @ | -inf | (- 1 (log (/ x y))) |
| 14.0ms | x | @ | 0 | (- 1 (log (/ x y))) |
| 1× | batch-egg-rewrite |
| 4 550× | accelerator-lowering-fma.f32 |
| 4 550× | accelerator-lowering-fma.f64 |
| 3 738× | /-lowering-/.f32 |
| 3 738× | /-lowering-/.f64 |
| 3 364× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 79 |
| 1 | 150 | 73 |
| 2 | 1289 | 73 |
| 0 | 8500 | 66 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (/ 1 (- 1 y)) (- y x)) |
(- 1 (log (+ 1 (* (/ 1 (- 1 y)) (- y x))))) |
(log (+ 1 (* (/ 1 (- 1 y)) (- y x)))) |
(/ 1 (- 1 y)) |
(neg y) |
(+ (* y (+ (* y -1/2) -1)) 1) |
(+ (* y -1/2) -1) |
(- 1 (log (neg x))) |
(log (neg x)) |
(neg x) |
(- 1 (log (/ x y))) |
(log (/ x y)) |
(/ x y) |
| Outputs |
|---|
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) y) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) x))) |
(+.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)) (/.f64 (neg.f64 x) (-.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 y (*.f64 y y)) (fma.f64 x (+.f64 y x) (*.f64 y y))) (-.f64 #s(literal 1 binary64) y)) (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (+.f64 y x) (*.f64 y y))) (-.f64 #s(literal 1 binary64) y))) |
(-.f64 (/.f64 (/.f64 (*.f64 y y) (+.f64 y x)) (-.f64 #s(literal 1 binary64) y)) (/.f64 (/.f64 (*.f64 x x) (+.f64 y x)) (-.f64 #s(literal 1 binary64) y))) |
(fma.f64 y (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (/.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) y))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) y (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) x))) |
(neg.f64 (/.f64 (+.f64 x (neg.f64 y)) (-.f64 #s(literal 1 binary64) y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 y x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 y x)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 x (+.f64 y x) (*.f64 y y))) (*.f64 (fma.f64 x (+.f64 y x) (*.f64 y y)) (-.f64 y x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (+.f64 y x)) (*.f64 (+.f64 y x) (-.f64 y x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 y #s(literal -1 binary64)) (fma.f64 x (+.f64 y x) (*.f64 y y))) (*.f64 (fma.f64 x (+.f64 y x) (*.f64 y y)) (+.f64 x (neg.f64 y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y x)) (fma.f64 y (neg.f64 y) (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 x (+.f64 y x) (*.f64 y y)) (-.f64 #s(literal 1 binary64) y)) (*.f64 (fma.f64 x (+.f64 y x) (*.f64 y y)) (-.f64 y x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 x (+.f64 y x) (*.f64 y y)) (+.f64 y #s(literal -1 binary64))) (*.f64 (*.f64 (fma.f64 x (+.f64 y x) (*.f64 y y)) (-.f64 y x)) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) y)) (*.f64 (+.f64 y x) (-.f64 y x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 y x) (+.f64 y #s(literal -1 binary64))) (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (+.f64 y x) (*.f64 y y)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (*.f64 (fma.f64 x (+.f64 y x) (*.f64 y y)) (-.f64 y x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (*.f64 (+.f64 y x) (-.f64 y x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (+.f64 y x) (*.f64 y y)) (/.f64 (*.f64 (fma.f64 x (+.f64 y x) (*.f64 y y)) (-.f64 y x)) (-.f64 #s(literal 1 binary64) y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) (/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (-.f64 #s(literal 1 binary64) y)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (-.f64 y x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 y x)))) |
(/.f64 (*.f64 (fma.f64 x (+.f64 y x) (*.f64 y y)) (-.f64 y x)) (*.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 x (+.f64 y x) (*.f64 y y)))) |
(/.f64 (*.f64 (fma.f64 x (+.f64 y x) (*.f64 y y)) (-.f64 y x)) (*.f64 (fma.f64 x (+.f64 y x) (*.f64 y y)) (-.f64 #s(literal 1 binary64) y))) |
(/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (*.f64 (-.f64 #s(literal 1 binary64) y) (+.f64 y x))) |
(/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (*.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) y))) |
(/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y)) |
(/.f64 (*.f64 (fma.f64 x (+.f64 y x) (*.f64 y y)) (+.f64 x (neg.f64 y))) (*.f64 (+.f64 y #s(literal -1 binary64)) (fma.f64 x (+.f64 y x) (*.f64 y y)))) |
(/.f64 (*.f64 (fma.f64 x (+.f64 y x) (*.f64 y y)) (+.f64 x (neg.f64 y))) (*.f64 (fma.f64 x (+.f64 y x) (*.f64 y y)) (+.f64 y #s(literal -1 binary64)))) |
(/.f64 (fma.f64 y (neg.f64 y) (*.f64 x x)) (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y x))) |
(/.f64 (fma.f64 y (neg.f64 y) (*.f64 x x)) (*.f64 (+.f64 y x) (+.f64 y #s(literal -1 binary64)))) |
(/.f64 (*.f64 (*.f64 (fma.f64 x (+.f64 y x) (*.f64 y y)) (-.f64 y x)) #s(literal -1 binary64)) (*.f64 (fma.f64 x (+.f64 y x) (*.f64 y y)) (+.f64 y #s(literal -1 binary64)))) |
(/.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) #s(literal -1 binary64)) (*.f64 (+.f64 y x) (+.f64 y #s(literal -1 binary64)))) |
(/.f64 (+.f64 x (neg.f64 y)) (+.f64 y #s(literal -1 binary64))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (*.f64 (fma.f64 x (+.f64 y x) (*.f64 y y)) (-.f64 y x))) (fma.f64 x (+.f64 y x) (*.f64 y y))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (*.f64 (+.f64 y x) (-.f64 y x))) (+.f64 y x)) |
(/.f64 (/.f64 (*.f64 (fma.f64 x (+.f64 y x) (*.f64 y y)) (-.f64 y x)) (-.f64 #s(literal 1 binary64) y)) (fma.f64 x (+.f64 y x) (*.f64 y y))) |
(/.f64 (/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (-.f64 #s(literal 1 binary64) y)) (+.f64 y x)) |
(/.f64 (neg.f64 (*.f64 (fma.f64 x (+.f64 y x) (*.f64 y y)) (+.f64 x (neg.f64 y)))) (neg.f64 (*.f64 (+.f64 y #s(literal -1 binary64)) (fma.f64 x (+.f64 y x) (*.f64 y y))))) |
(/.f64 (neg.f64 (fma.f64 y (neg.f64 y) (*.f64 x x))) (neg.f64 (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y x)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 x (+.f64 y x) (*.f64 y y)) (-.f64 y x)) #s(literal -1 binary64))) (neg.f64 (*.f64 (fma.f64 x (+.f64 y x) (*.f64 y y)) (+.f64 y #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) #s(literal -1 binary64))) (neg.f64 (*.f64 (+.f64 y x) (+.f64 y #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (+.f64 x (neg.f64 y))) (-.f64 #s(literal 1 binary64) y)) |
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (*.f64 (fma.f64 x (+.f64 y x) (*.f64 y y)) (-.f64 y x)))) (neg.f64 (fma.f64 x (+.f64 y x) (*.f64 y y)))) |
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (*.f64 (+.f64 y x) (-.f64 y x)))) (neg.f64 (+.f64 y x))) |
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(/.f64 (neg.f64 (/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (-.f64 #s(literal 1 binary64) y))) (neg.f64 (+.f64 y x))) |
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(*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (log.f64 (/.f64 x y)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (log.f64 (/.f64 x y)) (+.f64 #s(literal 1 binary64) (log.f64 (/.f64 x y))) #s(literal 1 binary64))))) |
(*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (log.f64 (/.f64 x y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (log.f64 (/.f64 y x))))) |
(log.f64 (/.f64 x y)) |
(+.f64 (log.f64 (neg.f64 x)) (log.f64 (/.f64 #s(literal -1 binary64) y))) |
(+.f64 (log.f64 (neg.f64 x)) (neg.f64 (log.f64 (neg.f64 y)))) |
(+.f64 (log.f64 x) (neg.f64 (log.f64 y))) |
(+.f64 #s(literal 0 binary64) (log.f64 (/.f64 x y))) |
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 x (neg.f64 y)))) |
(+.f64 (neg.f64 (log.f64 y)) (log.f64 x)) |
(-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y))) |
(-.f64 (log.f64 x) (log.f64 y)) |
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 y x))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (/.f64 y x)))) |
(-.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 y))))) (/.f64 (pow.f64 (log.f64 y) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 y)))))) |
(-.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 y x))) (/.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (log.f64 (*.f64 y x)))) |
(fma.f64 #s(literal 1 binary64) (log.f64 (neg.f64 x)) (log.f64 (/.f64 #s(literal -1 binary64) y))) |
(fma.f64 #s(literal 1 binary64) (log.f64 (neg.f64 x)) (neg.f64 (log.f64 (neg.f64 y)))) |
(fma.f64 #s(literal -1 binary64) (log.f64 y) (log.f64 x)) |
(fma.f64 (log.f64 (neg.f64 x)) #s(literal 1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y))) |
(fma.f64 (log.f64 (neg.f64 x)) #s(literal 1 binary64) (neg.f64 (log.f64 (neg.f64 y)))) |
(neg.f64 (log.f64 (/.f64 y x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 y)))) (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 y) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (*.f64 y x)) (*.f64 (log.f64 (*.f64 y x)) (log.f64 (/.f64 x y))))) |
(/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 y) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 y))))) |
(/.f64 (neg.f64 (pow.f64 (log.f64 (/.f64 x y)) #s(literal 2 binary64))) (log.f64 (/.f64 y x))) |
(/.f64 (*.f64 (log.f64 (*.f64 y x)) (log.f64 (/.f64 x y))) (log.f64 (*.f64 y x))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 y) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 y)))))) |
(/.f64 (neg.f64 (*.f64 (log.f64 (*.f64 y x)) (log.f64 (/.f64 x y)))) (neg.f64 (log.f64 (*.f64 y x)))) |
(/.f64 (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (neg.f64 (log.f64 y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 (log.f64 y)) (neg.f64 (log.f64 y))) (*.f64 (log.f64 x) (neg.f64 (log.f64 y)))))) |
(/.f64 (-.f64 (pow.f64 (log.f64 (neg.f64 x)) #s(literal 3 binary64)) (pow.f64 (log.f64 (neg.f64 y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64)) (fma.f64 (log.f64 (neg.f64 y)) (log.f64 (neg.f64 y)) (*.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y)))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 y x)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log.f64 (/.f64 x y)) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (log.f64 (/.f64 y x)))))) |
(/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (neg.f64 (log.f64 y)) (neg.f64 (log.f64 y)))) (-.f64 (log.f64 x) (neg.f64 (log.f64 y)))) |
(/.f64 (-.f64 (pow.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64)) (*.f64 (log.f64 (neg.f64 y)) (log.f64 (neg.f64 y)))) (+.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y)))) |
(*.f64 #s(literal 1 binary64) (log.f64 (/.f64 x y))) |
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 y x))) |
(*.f64 (log.f64 (/.f64 x y)) #s(literal 1 binary64)) |
(*.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 y)))))) |
(*.f64 (*.f64 (log.f64 (*.f64 y x)) (log.f64 (/.f64 x y))) (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 y x)))) |
(+.f64 #s(literal 0 binary64) (/.f64 x y)) |
(exp.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 x (neg.f64 y))) |
(neg.f64 (/.f64 x (neg.f64 y))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 y x)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 y x)))) |
(/.f64 x y) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y x))) |
(/.f64 (neg.f64 x) (neg.f64 y)) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 y)) (*.f64 (neg.f64 y) x)) (*.f64 y y)) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 x (neg.f64 y)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 x (neg.f64 y)) (/.f64 x (neg.f64 y)) (*.f64 #s(literal 0 binary64) (/.f64 x (neg.f64 y)))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 x (neg.f64 y)) (/.f64 x (neg.f64 y)))) (+.f64 #s(literal 0 binary64) (/.f64 x (neg.f64 y)))) |
(pow.f64 (/.f64 y x) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 x y)) |
(*.f64 x (/.f64 #s(literal 1 binary64) y)) |
(*.f64 #s(literal -1 binary64) (/.f64 x (neg.f64 y))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 y x)))) |
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (/.f64 x y) #s(literal 1 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) y) x) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x #s(literal -1 binary64))) |
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y x) #s(literal -1/2 binary64))) |
| 1× | egg-herbie |
| 6 582× | accelerator-lowering-fma.f32 |
| 6 582× | accelerator-lowering-fma.f64 |
| 3 896× | --lowering--.f32 |
| 3 896× | --lowering--.f64 |
| 3 538× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 418 | 3109 |
| 1 | 1326 | 2470 |
| 2 | 4631 | 2285 |
| 0 | 8927 | 2178 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -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) |
(/ y (- 1 y)) |
(+ (* -1 (/ x (- 1 y))) (/ y (- 1 y))) |
(+ (* -1 (/ x (- 1 y))) (/ y (- 1 y))) |
(+ (* -1 (/ x (- 1 y))) (/ y (- 1 y))) |
(* -1 (/ x (- 1 y))) |
(* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y)))) |
(* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y)))) |
(* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y)))) |
(* -1 (/ x (- 1 y))) |
(* -1 (* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y))))) |
(* -1 (* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y))))) |
(* -1 (* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y))))) |
(- 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 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 (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 y))) (- 1 y)) x)) (+ (log (/ 1 (- 1 y))) (* -1 (log (/ -1 x))))) |
(- (+ 1 (* -1 (/ (- (* -1/2 (/ (* (pow (+ 1 (/ y (- 1 y))) 2) (pow (- 1 y) 2)) x)) (* (+ 1 (/ y (- 1 y))) (- 1 y))) x))) (+ (log (/ 1 (- 1 y))) (* -1 (log (/ -1 x))))) |
(- (+ 1 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ (* (pow (+ 1 (/ y (- 1 y))) 3) (pow (- 1 y) 3)) x)) (* -1/2 (* (pow (+ 1 (/ y (- 1 y))) 2) (pow (- 1 y) 2)))) x)) (* (+ 1 (/ y (- 1 y))) (- 1 y))) x))) (+ (log (/ 1 (- 1 y))) (* -1 (log (/ -1 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 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)))) |
(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 y))) (- 1 y)) x)))) |
(+ (log (/ 1 (- 1 y))) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* 1/2 (/ (* (pow (+ 1 (/ y (- 1 y))) 2) (pow (- 1 y) 2)) x)) (* (+ 1 (/ y (- 1 y))) (- 1 y))) x)))) |
(+ (log (/ 1 (- 1 y))) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow (+ 1 (/ y (- 1 y))) 2) (pow (- 1 y) 2))) (* -1/3 (/ (* (pow (+ 1 (/ y (- 1 y))) 3) (pow (- 1 y) 3)) x))) x)) (* (+ 1 (/ y (- 1 y))) (- 1 y))) x)))) |
1 |
(+ 1 y) |
(+ 1 (* y (+ 1 y))) |
(+ 1 (* y (+ 1 (* y (+ 1 y))))) |
(/ -1 y) |
(* -1 (/ (+ 1 (/ 1 y)) y)) |
(/ (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1) y) |
(/ (- (* -1 (/ (+ 1 (/ 1 y)) (pow y 2))) (+ 1 (/ 1 y))) y) |
(/ -1 y) |
(* -1 (/ (+ 1 (/ 1 y)) y)) |
(* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1) y))) 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) |
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 (+ (log -1) (log x))) |
(- 1 (+ (log -1) (log x))) |
(- 1 (+ (log -1) (log x))) |
(- 1 (+ (log -1) (log x))) |
(- 1 (+ (log -1) (* -1 (log (/ 1 x))))) |
(- 1 (+ (log -1) (* -1 (log (/ 1 x))))) |
(- 1 (+ (log -1) (* -1 (log (/ 1 x))))) |
(- 1 (+ (log -1) (* -1 (log (/ 1 x))))) |
(- 1 (* -1 (log (/ -1 x)))) |
(- 1 (* -1 (log (/ -1 x)))) |
(- 1 (* -1 (log (/ -1 x)))) |
(- 1 (* -1 (log (/ -1 x)))) |
(+ (log -1) (log x)) |
(+ (log -1) (log x)) |
(+ (log -1) (log x)) |
(+ (log -1) (log x)) |
(+ (log -1) (* -1 (log (/ 1 x)))) |
(+ (log -1) (* -1 (log (/ 1 x)))) |
(+ (log -1) (* -1 (log (/ 1 x)))) |
(+ (log -1) (* -1 (log (/ 1 x)))) |
(* -1 (log (/ -1 x))) |
(* -1 (log (/ -1 x))) |
(* -1 (log (/ -1 x))) |
(* -1 (log (/ -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 x) |
(- 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))) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
| Outputs |
|---|
(* -1 x) |
(neg.f64 x) |
(+ (* -1 x) (* y (- 1 x))) |
(-.f64 (-.f64 y (*.f64 x y)) x) |
(+ (* -1 x) (* y (- (+ 1 (* y (- 1 x))) x))) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 y y y) (neg.f64 x)) |
(+ (* -1 x) (* y (- (+ 1 (* y (- (* y (- 1 x)) (* -1 (- 1 x))))) x))) |
(fma.f64 y (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))) (neg.f64 x)) |
-1 |
#s(literal -1 binary64) |
(- (/ x y) (+ 1 (/ 1 y))) |
(+.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y) #s(literal -1 binary64)) |
(- (+ (/ x y) (/ x (pow y 2))) (+ 1 (+ (/ 1 y) (/ 1 (pow y 2))))) |
(+.f64 (/.f64 x y) (+.f64 (/.f64 x (*.f64 y y)) (+.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) (*.f64 y y)))))) |
(- (+ (/ x y) (/ x (pow y 3))) (+ 1 (+ (* -1 (/ (- x 1) (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3)))))) |
(-.f64 (/.f64 x (*.f64 y (*.f64 y y))) (-.f64 (fma.f64 (/.f64 #s(literal -1 binary64) y) (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) #s(literal 1 binary64))) (/.f64 x y))) |
-1 |
#s(literal -1 binary64) |
(- (/ x y) (+ 1 (/ 1 y))) |
(+.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y) #s(literal -1 binary64)) |
(- (* -1 (/ (- (+ (* -1 (- x 1)) (/ 1 y)) (/ x y)) y)) 1) |
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (+.f64 x (/.f64 (+.f64 #s(literal -1 binary64) x) y))) y)) |
(- (* -1 (/ (+ (* -1 (- x 1)) (* -1 (/ (- (+ (* -1 (- 1 x)) (/ x y)) (/ 1 y)) y))) y)) 1) |
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 (+.f64 #s(literal -1 binary64) x) (/.f64 (+.f64 #s(literal -1 binary64) (+.f64 x (/.f64 (+.f64 #s(literal -1 binary64) x) y))) y)) y)) |
(/ y (- 1 y)) |
(/.f64 y (-.f64 #s(literal 1 binary64) y)) |
(+ (* -1 (/ x (- 1 y))) (/ y (- 1 y))) |
(+.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)) (/.f64 x (+.f64 #s(literal -1 binary64) y))) |
(+ (* -1 (/ x (- 1 y))) (/ y (- 1 y))) |
(+.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)) (/.f64 x (+.f64 #s(literal -1 binary64) y))) |
(+ (* -1 (/ x (- 1 y))) (/ y (- 1 y))) |
(+.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)) (/.f64 x (+.f64 #s(literal -1 binary64) y))) |
(* -1 (/ x (- 1 y))) |
(/.f64 x (+.f64 #s(literal -1 binary64) y)) |
(* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y)))) |
(fma.f64 x (/.f64 y (fma.f64 x (neg.f64 y) x)) (/.f64 x (+.f64 #s(literal -1 binary64) y))) |
(* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y)))) |
(fma.f64 x (/.f64 y (fma.f64 x (neg.f64 y) x)) (/.f64 x (+.f64 #s(literal -1 binary64) y))) |
(* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y)))) |
(fma.f64 x (/.f64 y (fma.f64 x (neg.f64 y) x)) (/.f64 x (+.f64 #s(literal -1 binary64) y))) |
(* -1 (/ x (- 1 y))) |
(/.f64 x (+.f64 #s(literal -1 binary64) y)) |
(* -1 (* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y))))) |
(fma.f64 x (/.f64 y (fma.f64 x (neg.f64 y) x)) (/.f64 x (+.f64 #s(literal -1 binary64) y))) |
(* -1 (* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y))))) |
(fma.f64 x (/.f64 y (fma.f64 x (neg.f64 y) x)) (/.f64 x (+.f64 #s(literal -1 binary64) y))) |
(* -1 (* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y))))) |
(fma.f64 x (/.f64 y (fma.f64 x (neg.f64 y) x)) (/.f64 x (+.f64 #s(literal -1 binary64) y))) |
(- 1 (log (- 1 x))) |
(-.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x))) |
(- (+ 1 (* -1 (* y (+ (* -1 (/ x (- 1 x))) (/ 1 (- 1 x)))))) (log (- 1 x))) |
(-.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 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))) |
(-.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 (* -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))) |
(-.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))) |
(- 1 (+ (log (neg (+ 1 (* -1 x)))) (log (/ 1 y)))) |
(-.f64 (+.f64 #s(literal 1 binary64) (log.f64 y)) (log.f64 (+.f64 #s(literal -1 binary64) x))) |
(- (+ 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 (log.f64 y) (/.f64 #s(literal -1 binary64) y)) (log.f64 (+.f64 #s(literal -1 binary64) 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)))))))) |
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 y y))) (-.f64 (log.f64 (+.f64 #s(literal -1 binary64) x)) (+.f64 (log.f64 y) (/.f64 #s(literal -1 binary64) y)))) |
(- (+ 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 (fma.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal -1 binary64)) (log.f64 (+.f64 #s(literal -1 binary64) x))) (log.f64 y))) |
(- 1 (+ (log (* -1 (- x 1))) (log (/ -1 y)))) |
(-.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (neg.f64 y)))) (log1p.f64 (neg.f64 x))) |
(- (+ 1 (* -1 (/ (- (/ x (- x 1)) (/ 1 (- x 1))) y))) (+ (log (* -1 (- x 1))) (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 (/ (+ 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)))) |
(+.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 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)))) |
(-.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 (log (+ 1 (/ y (- 1 y))))) |
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)))) |
(- (+ 1 (/ x (* (+ 1 (/ y (- 1 y))) (- 1 y)))) (log (+ 1 (/ y (- 1 y))))) |
(+.f64 (/.f64 x (*.f64 (-.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y))))) (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) 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))))) |
(fma.f64 x (fma.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y))) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) (/.f64 y (-.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 (- 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))))) |
(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 #s(literal 1 binary64) y))) (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y)))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y))) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)))))) (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y))) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)))))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y)))))) (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y))))) |
(- 1 (+ (log (neg (/ 1 (- 1 y)))) (* -1 (log (/ 1 x))))) |
(+.f64 (-.f64 #s(literal 1 binary64) (log.f64 x)) (log.f64 (+.f64 #s(literal -1 binary64) y))) |
(- (+ 1 (/ (* (+ 1 (/ y (- 1 y))) (- 1 y)) x)) (+ (log (neg (/ 1 (- 1 y)))) (* -1 (log (/ 1 x))))) |
(+.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y))) (/.f64 (-.f64 #s(literal 1 binary64) y) x) #s(literal 1 binary64)) (-.f64 (log.f64 (+.f64 #s(literal -1 binary64) y)) (log.f64 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))))) |
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 y (+.f64 #s(literal -1 binary64) y))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y))) (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 (-.f64 #s(literal 1 binary64) y) x)))) (*.f64 (-.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y))))) x) (-.f64 (log.f64 (+.f64 #s(literal -1 binary64) y)) (log.f64 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))))))) |
(+.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y))) (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y)))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y))) (*.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 (log.f64 (+.f64 #s(literal -1 binary64) y)) (log.f64 x))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 y (+.f64 #s(literal -1 binary64) y))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y))) (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 (-.f64 #s(literal 1 binary64) y) x)))) (*.f64 (-.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y))))) x))) |
(- 1 (+ (log (/ 1 (- 1 y))) (* -1 (log (/ -1 x))))) |
(+.f64 (+.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (log1p.f64 (neg.f64 y))) |
(- (+ 1 (/ (* (+ 1 (/ y (- 1 y))) (- 1 y)) x)) (+ (log (/ 1 (- 1 y))) (* -1 (log (/ -1 x))))) |
(+.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y))) (/.f64 (-.f64 #s(literal 1 binary64) y) x) #s(literal 1 binary64)) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log1p.f64 (neg.f64 y)))) |
(- (+ 1 (* -1 (/ (- (* -1/2 (/ (* (pow (+ 1 (/ y (- 1 y))) 2) (pow (- 1 y) 2)) x)) (* (+ 1 (/ y (- 1 y))) (- 1 y))) x))) (+ (log (/ 1 (- 1 y))) (* -1 (log (/ -1 x))))) |
(+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 y (+.f64 #s(literal -1 binary64) y))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y))) (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 (-.f64 #s(literal 1 binary64) y) x)))) (*.f64 (-.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y))))) x) (+.f64 (+.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (log1p.f64 (neg.f64 y)))) |
(- (+ 1 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ (* (pow (+ 1 (/ y (- 1 y))) 3) (pow (- 1 y) 3)) x)) (* -1/2 (* (pow (+ 1 (/ y (- 1 y))) 2) (pow (- 1 y) 2)))) x)) (* (+ 1 (/ y (- 1 y))) (- 1 y))) x))) (+ (log (/ 1 (- 1 y))) (* -1 (log (/ -1 x))))) |
(-.f64 #s(literal 1 binary64) (-.f64 (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (+.f64 #s(literal -1 binary64) (/.f64 y (+.f64 #s(literal -1 binary64) y)))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y)))) (*.f64 (-.f64 #s(literal 1 binary64) y) (+.f64 #s(literal -1 binary64) (/.f64 y (+.f64 #s(literal -1 binary64) y))))) (/.f64 (*.f64 (*.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 (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y))) (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y)))))) x)) x)) x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log1p.f64 (neg.f64 y))))) |
(log (- 1 x)) |
(log1p.f64 (neg.f64 x)) |
(+ (log (- 1 x)) (* y (+ (* -1 (/ x (- 1 x))) (/ 1 (- 1 x))))) |
(+.f64 y (log1p.f64 (neg.f64 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)))))) |
(fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal 1 binary64)) (log1p.f64 (neg.f64 x))) |
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(+.f64 #s(literal 1 binary64) (-.f64 (log.f64 y) (log.f64 x))) |
(- 1 (+ (log (/ -1 y)) (* -1 (log (/ -1 x))))) |
(+.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (neg.f64 y)))) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(- 1 (+ (log (/ -1 y)) (* -1 (log (/ -1 x))))) |
(+.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (neg.f64 y)))) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(- 1 (+ (log (/ -1 y)) (* -1 (log (/ -1 x))))) |
(+.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (neg.f64 y)))) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(- 1 (+ (log (/ -1 y)) (* -1 (log (/ -1 x))))) |
(+.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (neg.f64 y)))) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(- 1 (+ (log x) (* -1 (log y)))) |
(+.f64 #s(literal 1 binary64) (-.f64 (log.f64 y) (log.f64 x))) |
(- 1 (+ (log x) (* -1 (log y)))) |
(+.f64 #s(literal 1 binary64) (-.f64 (log.f64 y) (log.f64 x))) |
(- 1 (+ (log x) (* -1 (log y)))) |
(+.f64 #s(literal 1 binary64) (-.f64 (log.f64 y) (log.f64 x))) |
(- 1 (+ (log x) (* -1 (log y)))) |
(+.f64 #s(literal 1 binary64) (-.f64 (log.f64 y) (log.f64 x))) |
(- 1 (+ (log x) (log (/ 1 y)))) |
(+.f64 #s(literal 1 binary64) (-.f64 (log.f64 y) (log.f64 x))) |
(- 1 (+ (log x) (log (/ 1 y)))) |
(+.f64 #s(literal 1 binary64) (-.f64 (log.f64 y) (log.f64 x))) |
(- 1 (+ (log x) (log (/ 1 y)))) |
(+.f64 #s(literal 1 binary64) (-.f64 (log.f64 y) (log.f64 x))) |
(- 1 (+ (log x) (log (/ 1 y)))) |
(+.f64 #s(literal 1 binary64) (-.f64 (log.f64 y) (log.f64 x))) |
(- 1 (+ (log (* -1 x)) (log (/ -1 y)))) |
(-.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (neg.f64 y)))) (log.f64 (neg.f64 x))) |
(- 1 (+ (log (* -1 x)) (log (/ -1 y)))) |
(-.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (neg.f64 y)))) (log.f64 (neg.f64 x))) |
(- 1 (+ (log (* -1 x)) (log (/ -1 y)))) |
(-.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (neg.f64 y)))) (log.f64 (neg.f64 x))) |
(- 1 (+ (log (* -1 x)) (log (/ -1 y)))) |
(-.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (neg.f64 y)))) (log.f64 (neg.f64 x))) |
(+ (log x) (log (/ 1 y))) |
(-.f64 (log.f64 x) (log.f64 y)) |
(+ (log x) (log (/ 1 y))) |
(-.f64 (log.f64 x) (log.f64 y)) |
(+ (log x) (log (/ 1 y))) |
(-.f64 (log.f64 x) (log.f64 y)) |
(+ (log x) (log (/ 1 y))) |
(-.f64 (log.f64 x) (log.f64 y)) |
(+ (log (/ 1 y)) (* -1 (log (/ 1 x)))) |
(-.f64 (log.f64 x) (log.f64 y)) |
(+ (log (/ 1 y)) (* -1 (log (/ 1 x)))) |
(-.f64 (log.f64 x) (log.f64 y)) |
(+ (log (/ 1 y)) (* -1 (log (/ 1 x)))) |
(-.f64 (log.f64 x) (log.f64 y)) |
(+ (log (/ 1 y)) (* -1 (log (/ 1 x)))) |
(-.f64 (log.f64 x) (log.f64 y)) |
(+ (log (/ -1 y)) (* -1 (log (/ -1 x)))) |
(-.f64 (neg.f64 (log.f64 (neg.f64 y))) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(+ (log (/ -1 y)) (* -1 (log (/ -1 x)))) |
(-.f64 (neg.f64 (log.f64 (neg.f64 y))) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(+ (log (/ -1 y)) (* -1 (log (/ -1 x)))) |
(-.f64 (neg.f64 (log.f64 (neg.f64 y))) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(+ (log (/ -1 y)) (* -1 (log (/ -1 x)))) |
(-.f64 (neg.f64 (log.f64 (neg.f64 y))) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(+ (log x) (* -1 (log y))) |
(-.f64 (log.f64 x) (log.f64 y)) |
(+ (log x) (* -1 (log y))) |
(-.f64 (log.f64 x) (log.f64 y)) |
(+ (log x) (* -1 (log y))) |
(-.f64 (log.f64 x) (log.f64 y)) |
(+ (log x) (* -1 (log y))) |
(-.f64 (log.f64 x) (log.f64 y)) |
(+ (log x) (log (/ 1 y))) |
(-.f64 (log.f64 x) (log.f64 y)) |
(+ (log x) (log (/ 1 y))) |
(-.f64 (log.f64 x) (log.f64 y)) |
(+ (log x) (log (/ 1 y))) |
(-.f64 (log.f64 x) (log.f64 y)) |
(+ (log x) (log (/ 1 y))) |
(-.f64 (log.f64 x) (log.f64 y)) |
(+ (log (* -1 x)) (log (/ -1 y))) |
(+.f64 (neg.f64 (log.f64 (neg.f64 y))) (log.f64 (neg.f64 x))) |
(+ (log (* -1 x)) (log (/ -1 y))) |
(+.f64 (neg.f64 (log.f64 (neg.f64 y))) (log.f64 (neg.f64 x))) |
(+ (log (* -1 x)) (log (/ -1 y))) |
(+.f64 (neg.f64 (log.f64 (neg.f64 y))) (log.f64 (neg.f64 x))) |
(+ (log (* -1 x)) (log (/ -1 y))) |
(+.f64 (neg.f64 (log.f64 (neg.f64 y))) (log.f64 (neg.f64 x))) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
Compiled 13 332 to 1 802 computations (86.5% saved)
35 alts after pruning (22 fresh and 13 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 663 | 6 | 669 |
| Fresh | 1 | 16 | 17 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 8 | 8 |
| Total | 664 | 35 | 699 |
| Status | Accuracy | Program |
|---|---|---|
| 46.5% | (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 x #s(literal 1 binary64))) | |
| 45.1% | (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)) | |
| ✓ | 44.7% | (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) |
| 46.9% | (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)) | |
| ✓ | 46.5% | (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
| 46.2% | (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) | |
| 44.4% | (/.f64 (fma.f64 (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))) (*.f64 (*.f64 y (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 (fma.f64 (*.f64 y (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))))) | |
| 44.7% | (/.f64 #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)))) | |
| 25.2% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (log.f64 (/.f64 y x))))) | |
| 16.7% | (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y)) y)) (neg.f64 (log.f64 (neg.f64 y)))) | |
| ✓ | 64.1% | (-.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 x))) |
| 17.2% | (-.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 (log.f64 (neg.f64 y))))) | |
| 46.4% | (-.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) | |
| 18.2% | (-.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (neg.f64 y)))) | |
| 45.6% | (-.f64 #s(literal 1 binary64) (log1p.f64 (fma.f64 y y y))) | |
| ✓ | 74.7% | (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y)))) |
| ✓ | 45.5% | (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)))) |
| 63.7% | (-.f64 #s(literal 1 binary64) (log1p.f64 (-.f64 y x))) | |
| ✓ | 75.6% | (-.f64 #s(literal 1 binary64) (log1p.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (-.f64 y x)))) |
| ✓ | 44.8% | (-.f64 #s(literal 1 binary64) (log1p.f64 y)) |
| ✓ | 76.3% | (-.f64 #s(literal 1 binary64) (log.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (-.f64 y x) #s(literal 1 binary64)))) |
| 38.0% | (-.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y))) | |
| 36.7% | (-.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal -1 binary64) (+.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) y))) y))) | |
| ✓ | 44.2% | (-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))))) |
| ✓ | 25.2% | (-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x y))) |
| 22.8% | (-.f64 #s(literal 1 binary64) (log.f64 (neg.f64 (fma.f64 x y x)))) | |
| ✓ | 23.9% | (-.f64 #s(literal 1 binary64) (log.f64 (neg.f64 x))) |
| 45.3% | (-.f64 #s(literal 1 binary64) y) | |
| 46.1% | (+.f64 #s(literal 1 binary64) (-.f64 x y)) | |
| 47.3% | (+.f64 #s(literal 1 binary64) x) | |
| 3.5% | (*.f64 (neg.f64 (*.f64 y y)) (/.f64 #s(literal 1 binary64) y)) | |
| 2.9% | (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))) | |
| 2.7% | (*.f64 y (*.f64 y #s(literal -1/2 binary64))) | |
| ✓ | 3.6% | (neg.f64 y) |
| ✓ | 47.6% | #s(literal 1 binary64) |
Compiled 790 to 395 computations (50% 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 y (*.f64 y #s(literal -1/2 binary64))) |
(*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))) |
(fma.f64 x (*.f64 x #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)) |
(fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 x #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)) |
(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)) |
(*.f64 (neg.f64 (*.f64 y y)) (/.f64 #s(literal 1 binary64) y)) |
(-.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y #s(literal -1/2 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 (*.f64 y (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 (fma.f64 (*.f64 y (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 #s(literal 1 binary64) (log1p.f64 y)) |
(-.f64 #s(literal 1 binary64) (log.f64 (neg.f64 x))) |
(-.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) (log1p.f64 (-.f64 y x))) |
(-.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (neg.f64 y)))) |
(-.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 x))) |
(-.f64 #s(literal 1 binary64) (log1p.f64 (fma.f64 y y y))) |
(-.f64 #s(literal 1 binary64) (log.f64 (neg.f64 (fma.f64 x y x)))) |
(-.f64 #s(literal 1 binary64) (log.f64 (fma.f64 #s(literal 1 binary64) (-.f64 y x) #s(literal 1 binary64)))) |
(-.f64 #s(literal 1 binary64) (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x)))) |
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x y))) |
(-.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) (log.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y))) |
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 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 1 binary64) (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y)))) |
(-.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 (log.f64 (neg.f64 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) (log1p.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (-.f64 y x)))) |
(-.f64 #s(literal 1 binary64) (log.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (-.f64 y x) #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))) |
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal -1 binary64) (+.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) y))) y))) |
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y)) y)) (neg.f64 (log.f64 (neg.f64 y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (log.f64 (/.f64 y x))))) |
(/.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) (log.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))) |
| 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 (/.f64 (+.f64 #s(literal -1 binary64) (+.f64 x (/.f64 (+.f64 #s(literal -1 binary64) x) y))) y) (+.f64 #s(literal -1 binary64) x)) y))) |
6 calls:
| 19.0ms | y |
| 16.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| 15.0ms | (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))) |
| 13.0ms | x |
| 12.0ms | (-.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 |
|---|---|---|
| 86.2% | 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 y (*.f64 y #s(literal -1/2 binary64))) |
(*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))) |
(fma.f64 x (*.f64 x #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)) |
(fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 x #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)) |
(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)) |
(*.f64 (neg.f64 (*.f64 y y)) (/.f64 #s(literal 1 binary64) y)) |
(-.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y #s(literal -1/2 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 (*.f64 y (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 (fma.f64 (*.f64 y (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 #s(literal 1 binary64) (log1p.f64 y)) |
(-.f64 #s(literal 1 binary64) (log.f64 (neg.f64 x))) |
(-.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) (log1p.f64 (-.f64 y x))) |
(-.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (neg.f64 y)))) |
(-.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 x))) |
(-.f64 #s(literal 1 binary64) (log1p.f64 (fma.f64 y y y))) |
(-.f64 #s(literal 1 binary64) (log.f64 (neg.f64 (fma.f64 x y x)))) |
(-.f64 #s(literal 1 binary64) (log.f64 (fma.f64 #s(literal 1 binary64) (-.f64 y x) #s(literal 1 binary64)))) |
(-.f64 #s(literal 1 binary64) (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x)))) |
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x y))) |
(-.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) (log.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y))) |
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 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 1 binary64) (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y)))) |
(-.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 (log.f64 (neg.f64 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) (log1p.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (-.f64 y x)))) |
(-.f64 #s(literal 1 binary64) (log.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (-.f64 y x) #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))) |
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal -1 binary64) (+.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) y))) y))) |
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y)) y)) (neg.f64 (log.f64 (neg.f64 y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (log.f64 (/.f64 y x))))) |
(/.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))))))) |
| 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))) |
4 calls:
| 16.0ms | (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) |
| 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 (-.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 |
|---|---|---|
| 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 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 y (*.f64 y #s(literal -1/2 binary64))) |
(*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))) |
(fma.f64 x (*.f64 x #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)) |
(fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 x #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)) |
(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)) |
(*.f64 (neg.f64 (*.f64 y y)) (/.f64 #s(literal 1 binary64) y)) |
(-.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y #s(literal -1/2 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 (*.f64 y (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 (fma.f64 (*.f64 y (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 #s(literal 1 binary64) (log1p.f64 y)) |
(-.f64 #s(literal 1 binary64) (log.f64 (neg.f64 x))) |
(-.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) (log1p.f64 (-.f64 y x))) |
(-.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (neg.f64 y)))) |
(-.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 x))) |
(-.f64 #s(literal 1 binary64) (log1p.f64 (fma.f64 y y y))) |
(-.f64 #s(literal 1 binary64) (log.f64 (neg.f64 (fma.f64 x y x)))) |
(-.f64 #s(literal 1 binary64) (log.f64 (fma.f64 #s(literal 1 binary64) (-.f64 y x) #s(literal 1 binary64)))) |
(-.f64 #s(literal 1 binary64) (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x)))) |
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x y))) |
(-.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) (log.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y))) |
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 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 1 binary64) (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y)))) |
(-.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 (log.f64 (neg.f64 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) (log1p.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (-.f64 y x)))) |
(-.f64 #s(literal 1 binary64) (log.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (-.f64 y x) #s(literal 1 binary64)))) |
| Outputs |
|---|
(-.f64 #s(literal 1 binary64) (log.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (-.f64 y x) #s(literal 1 binary64)))) |
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y))) |
4 calls:
| 14.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| 13.0ms | (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 |
|---|---|---|
| 99.8% | 2 | (-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) |
| 99.8% | 2 | (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))) |
| 99.8% | 2 | (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) |
| 99.8% | 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 y (*.f64 y #s(literal -1/2 binary64))) |
(*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))) |
(fma.f64 x (*.f64 x #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)) |
(fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 x #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)) |
(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)) |
(*.f64 (neg.f64 (*.f64 y y)) (/.f64 #s(literal 1 binary64) y)) |
(-.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y #s(literal -1/2 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 (*.f64 y (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 (fma.f64 (*.f64 y (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 #s(literal 1 binary64) (log1p.f64 y)) |
(-.f64 #s(literal 1 binary64) (log.f64 (neg.f64 x))) |
(-.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) (log1p.f64 (-.f64 y x))) |
(-.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (neg.f64 y)))) |
(-.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 x))) |
(-.f64 #s(literal 1 binary64) (log1p.f64 (fma.f64 y y y))) |
(-.f64 #s(literal 1 binary64) (log.f64 (neg.f64 (fma.f64 x y x)))) |
(-.f64 #s(literal 1 binary64) (log.f64 (fma.f64 #s(literal 1 binary64) (-.f64 y x) #s(literal 1 binary64)))) |
(-.f64 #s(literal 1 binary64) (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x)))) |
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x y))) |
(-.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) (log.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y))) |
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 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 1 binary64) (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y)))) |
(-.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 (log.f64 (neg.f64 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) (log1p.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (-.f64 y x)))) |
| Outputs |
|---|
(-.f64 #s(literal 1 binary64) (log1p.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (-.f64 y x)))) |
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y))) |
4 calls:
| 20.0ms | (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) |
| 11.0ms | (-.f64 #s(literal 1 binary64) (log.f64 (-.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)) |
| 9.0ms | (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 2 | (-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) |
| 99.8% | 2 | (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))) |
| 99.8% | 2 | (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) |
| 99.8% | 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 y (*.f64 y #s(literal -1/2 binary64))) |
(*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))) |
(fma.f64 x (*.f64 x #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)) |
(fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 x #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)) |
(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)) |
(*.f64 (neg.f64 (*.f64 y y)) (/.f64 #s(literal 1 binary64) y)) |
(-.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y #s(literal -1/2 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 (*.f64 y (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 (fma.f64 (*.f64 y (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 #s(literal 1 binary64) (log1p.f64 y)) |
(-.f64 #s(literal 1 binary64) (log.f64 (neg.f64 x))) |
(-.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) (log1p.f64 (-.f64 y x))) |
(-.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (neg.f64 y)))) |
(-.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 x))) |
(-.f64 #s(literal 1 binary64) (log1p.f64 (fma.f64 y y y))) |
(-.f64 #s(literal 1 binary64) (log.f64 (neg.f64 (fma.f64 x y x)))) |
(-.f64 #s(literal 1 binary64) (log.f64 (fma.f64 #s(literal 1 binary64) (-.f64 y x) #s(literal 1 binary64)))) |
(-.f64 #s(literal 1 binary64) (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x)))) |
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x y))) |
(-.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) (log.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y))) |
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 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 1 binary64) (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y)))) |
(-.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 (log.f64 (neg.f64 y))))) |
(-.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:
| 36.0ms | (log.f64 (-.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)) |
| 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 |
|---|---|---|
| 99.8% | 2 | (-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) |
| 99.8% | 2 | (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))) |
| 99.8% | 2 | (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) |
| 99.8% | 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 y (*.f64 y #s(literal -1/2 binary64))) |
(*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))) |
(fma.f64 x (*.f64 x #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)) |
(fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 x #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)) |
(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)) |
(*.f64 (neg.f64 (*.f64 y y)) (/.f64 #s(literal 1 binary64) y)) |
(-.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y #s(literal -1/2 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 (*.f64 y (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 (fma.f64 (*.f64 y (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 #s(literal 1 binary64) (log1p.f64 y)) |
(-.f64 #s(literal 1 binary64) (log.f64 (neg.f64 x))) |
(-.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) (log1p.f64 (-.f64 y x))) |
(-.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (neg.f64 y)))) |
(-.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 x))) |
(-.f64 #s(literal 1 binary64) (log1p.f64 (fma.f64 y y y))) |
(-.f64 #s(literal 1 binary64) (log.f64 (neg.f64 (fma.f64 x y x)))) |
(-.f64 #s(literal 1 binary64) (log.f64 (fma.f64 #s(literal 1 binary64) (-.f64 y x) #s(literal 1 binary64)))) |
(-.f64 #s(literal 1 binary64) (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x)))) |
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x y))) |
(-.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) (log.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y))) |
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)))) |
| Outputs |
|---|
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (+.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 (+.f64 #s(literal -1 binary64) x) y))) |
5 calls:
| 12.0ms | (/.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))))) |
| 10.0ms | y |
| 8.0ms | (-.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 |
|---|---|---|
| 99.4% | 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 y (*.f64 y #s(literal -1/2 binary64))) |
(*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))) |
(fma.f64 x (*.f64 x #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)) |
(fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 x #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)) |
(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)) |
(*.f64 (neg.f64 (*.f64 y y)) (/.f64 #s(literal 1 binary64) y)) |
(-.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y #s(literal -1/2 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 (*.f64 y (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 (fma.f64 (*.f64 y (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 #s(literal 1 binary64) (log1p.f64 y)) |
(-.f64 #s(literal 1 binary64) (log.f64 (neg.f64 x))) |
(-.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) (log1p.f64 (-.f64 y x))) |
(-.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (neg.f64 y)))) |
(-.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 x))) |
(-.f64 #s(literal 1 binary64) (log1p.f64 (fma.f64 y y y))) |
(-.f64 #s(literal 1 binary64) (log.f64 (neg.f64 (fma.f64 x y x)))) |
(-.f64 #s(literal 1 binary64) (log.f64 (fma.f64 #s(literal 1 binary64) (-.f64 y x) #s(literal 1 binary64)))) |
(-.f64 #s(literal 1 binary64) (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x)))) |
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x y))) |
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))))) |
| Outputs |
|---|
(-.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (neg.f64 y)))) |
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (+.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))) |
5 calls:
| 12.0ms | (-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) |
| 10.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| 9.0ms | y |
| 7.0ms | (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) |
| 7.0ms | (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.8% | 4 | y |
| 87.9% | 3 | (-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) |
| 87.9% | 3 | (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))) |
| 87.9% | 3 | (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) |
| 87.9% | 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 y (*.f64 y #s(literal -1/2 binary64))) |
(*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))) |
(fma.f64 x (*.f64 x #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)) |
(fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 x #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)) |
(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)) |
(*.f64 (neg.f64 (*.f64 y y)) (/.f64 #s(literal 1 binary64) y)) |
(-.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y #s(literal -1/2 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 (*.f64 y (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 (fma.f64 (*.f64 y (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 #s(literal 1 binary64) (log1p.f64 y)) |
(-.f64 #s(literal 1 binary64) (log.f64 (neg.f64 x))) |
(-.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) (log1p.f64 (-.f64 y x))) |
(-.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (neg.f64 y)))) |
(-.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 x))) |
(-.f64 #s(literal 1 binary64) (log1p.f64 (fma.f64 y y y))) |
(-.f64 #s(literal 1 binary64) (log.f64 (neg.f64 (fma.f64 x y x)))) |
(-.f64 #s(literal 1 binary64) (log.f64 (fma.f64 #s(literal 1 binary64) (-.f64 y x) #s(literal 1 binary64)))) |
(-.f64 #s(literal 1 binary64) (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x)))) |
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x y))) |
| Outputs |
|---|
(-.f64 #s(literal 1 binary64) (neg.f64 (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))) |
1 calls:
| 14.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 90.2% | 3 | y |
Compiled 3 to 2 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 y (*.f64 y #s(literal -1/2 binary64))) |
(*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))) |
(fma.f64 x (*.f64 x #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)) |
(fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 x #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)) |
(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)) |
(*.f64 (neg.f64 (*.f64 y y)) (/.f64 #s(literal 1 binary64) y)) |
(-.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y #s(literal -1/2 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 (*.f64 y (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 (fma.f64 (*.f64 y (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 #s(literal 1 binary64) (log1p.f64 y)) |
(-.f64 #s(literal 1 binary64) (log.f64 (neg.f64 x))) |
(-.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) (log1p.f64 (-.f64 y x))) |
(-.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (neg.f64 y)))) |
(-.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 x))) |
(-.f64 #s(literal 1 binary64) (log1p.f64 (fma.f64 y y y))) |
(-.f64 #s(literal 1 binary64) (log.f64 (neg.f64 (fma.f64 x y x)))) |
(-.f64 #s(literal 1 binary64) (log.f64 (fma.f64 #s(literal 1 binary64) (-.f64 y x) #s(literal 1 binary64)))) |
(-.f64 #s(literal 1 binary64) (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x)))) |
| Outputs |
|---|
(-.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (neg.f64 y)))) |
(-.f64 #s(literal 1 binary64) (log1p.f64 (-.f64 y x))) |
6 calls:
| 10.0ms | (-.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))))) |
| 8.0ms | y |
| 8.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| 8.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 65.4% | 1 | x |
| 79.3% | 2 | (-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) |
| 79.3% | 2 | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| 79.3% | 2 | (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))) |
| 79.3% | 2 | (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) |
| 78.8% | 2 | 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 y (*.f64 y #s(literal -1/2 binary64))) |
(*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))) |
(fma.f64 x (*.f64 x #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)) |
(fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 x #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)) |
(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)) |
(*.f64 (neg.f64 (*.f64 y y)) (/.f64 #s(literal 1 binary64) y)) |
(-.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y #s(literal -1/2 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 (*.f64 y (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 (fma.f64 (*.f64 y (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 #s(literal 1 binary64) (log1p.f64 y)) |
(-.f64 #s(literal 1 binary64) (log.f64 (neg.f64 x))) |
(-.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) (log1p.f64 (-.f64 y x))) |
| Outputs |
|---|
#s(literal 1 binary64) |
(-.f64 #s(literal 1 binary64) (log1p.f64 (-.f64 y x))) |
5 calls:
| 10.0ms | (-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) |
| 7.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| 7.0ms | y |
| 6.0ms | (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) |
| 6.0ms | (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 65.4% | 1 | y |
| 67.6% | 2 | (-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) |
| 67.6% | 2 | (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))) |
| 67.6% | 2 | (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) |
| 67.6% | 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 y (*.f64 y #s(literal -1/2 binary64))) |
(*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))) |
(fma.f64 x (*.f64 x #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)) |
(fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 x #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)) |
(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)) |
(*.f64 (neg.f64 (*.f64 y y)) (/.f64 #s(literal 1 binary64) y)) |
(-.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y #s(literal -1/2 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 (*.f64 y (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 (fma.f64 (*.f64 y (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 #s(literal 1 binary64) (log1p.f64 y)) |
(-.f64 #s(literal 1 binary64) (log.f64 (neg.f64 x))) |
(-.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)))) |
| Outputs |
|---|
#s(literal 1 binary64) |
(-.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x))) |
4 calls:
| 8.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| 6.0ms | (-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) |
| 5.0ms | (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) |
| 5.0ms | (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 67.1% | 2 | (-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) |
| 67.1% | 2 | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| 67.1% | 2 | (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))) |
| 67.1% | 2 | (-.f64 #s(literal 1 binary64) (/.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 y (*.f64 y #s(literal -1/2 binary64))) |
(*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))) |
(fma.f64 x (*.f64 x #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)) |
(fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 x #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)) |
(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)) |
(*.f64 (neg.f64 (*.f64 y y)) (/.f64 #s(literal 1 binary64) y)) |
(-.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y #s(literal -1/2 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 (*.f64 y (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 (fma.f64 (*.f64 y (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 #s(literal 1 binary64) (log1p.f64 y)) |
(-.f64 #s(literal 1 binary64) (log.f64 (neg.f64 x))) |
| Outputs |
|---|
#s(literal 1 binary64) |
(-.f64 #s(literal 1 binary64) (log.f64 (neg.f64 x))) |
6 calls:
| 6.0ms | (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))) |
| 6.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| 6.0ms | x |
| 6.0ms | y |
| 6.0ms | (-.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 |
|---|---|---|
| 47.6% | 1 | y |
| 66.2% | 2 | x |
| 66.8% | 2 | (-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) |
| 66.8% | 2 | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| 66.8% | 2 | (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))) |
| 66.8% | 2 | (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) |
Compiled 52 to 34 computations (34.6% saved)
Total -29.7b remaining (-88.6%)
Threshold costs -29.7b (-88.6%)
| 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 y (*.f64 y #s(literal -1/2 binary64))) |
(*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))) |
(fma.f64 x (*.f64 x #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)) |
(fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 x #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)) |
(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)) |
(*.f64 (neg.f64 (*.f64 y y)) (/.f64 #s(literal 1 binary64) y)) |
(-.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y #s(literal -1/2 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 (*.f64 y (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 (fma.f64 (*.f64 y (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 #s(literal 1 binary64) (log1p.f64 y)) |
| Outputs |
|---|
#s(literal 1 binary64) |
5 calls:
| 6.0ms | x |
| 6.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| 5.0ms | (-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) |
| 5.0ms | (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) |
| 5.0ms | (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 47.6% | 1 | x |
| 47.6% | 1 | (-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) |
| 47.6% | 1 | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| 47.6% | 1 | (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))) |
| 47.6% | 1 | (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) |
Compiled 49 to 32 computations (34.7% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.00027932447415959425 | 0.14327879088011863 |
Compiled 17 to 15 computations (11.8% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.00027932447415959425 | 0.14327879088011863 |
Compiled 17 to 15 computations (11.8% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9999997751296863 | 0.9999999977232238 |
Compiled 17 to 15 computations (11.8% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9999997751296863 | 0.9999999977232238 |
Compiled 17 to 15 computations (11.8% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9999997751296863 | 0.9999999977232238 |
Compiled 17 to 15 computations (11.8% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.00027932447415959425 | 0.14327879088011863 |
| 0.0ms | -13.105880395593084 | -1.2855126620620223e-5 |
Compiled 17 to 15 computations (11.8% saved)
| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 77.0ms | 1.2854961368464128e-5 | 2.3608161354202313e+27 |
| 13.0ms | -6.039487297492284e-7 | -6.138379615269945e-9 |
| 23.0ms | -2.6710498819337554e+45 | -4.625117090346568e+36 |
| 46.0ms | 711× | 0 | invalid |
| 23.0ms | 336× | 0 | valid |
| 13.0ms | 96× | 1 | valid |
Compiled 553 to 451 computations (18.4% saved)
ival-sub: 24.0ms (47.1% of total)ival-log: 14.0ms (27.5% of total)ival-div: 9.0ms (17.7% of total)adjust: 2.0ms (3.9% of total)exact: 1.0ms (2% of total)ival-true: 1.0ms (2% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 69.0ms | 1.2854961368464128e-5 | 2.3608161354202313e+27 |
| 17.0ms | -4447006.626964218 | -0.0003405341914576131 |
| 38.0ms | 640× | 0 | invalid |
| 20.0ms | 336× | 0 | valid |
Compiled 416 to 339 computations (18.5% saved)
ival-sub: 18.0ms (53% of total)ival-div: 7.0ms (20.6% of total)ival-log: 7.0ms (20.6% of total)ival-true: 1.0ms (2.9% of total)exact: 1.0ms (2.9% of total)ival-assert: 0.0ms (0% of total)| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.8567212091198814 | 0.9997206755258404 |
Compiled 17 to 15 computations (11.8% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.8567212091198814 | 0.9997206755258404 |
Compiled 17 to 15 computations (11.8% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.8567212091198814 | 0.9997206755258404 |
Compiled 17 to 15 computations (11.8% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 14.105880395593084 | 90.09680713507197 |
Compiled 17 to 15 computations (11.8% saved)
| 1× | egg-herbie |
| 320× | unsub-neg_binary64 |
| 182× | neg-mul-1_binary64 |
| 148× | distribute-lft-neg-in_binary64 |
| 118× | sub-neg_binary64 |
| 114× | +-commutative_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 83 | 352 |
| 1 | 128 | 349 |
| 2 | 185 | 349 |
| 3 | 236 | 349 |
| 4 | 284 | 349 |
| 5 | 326 | 349 |
| 6 | 437 | 349 |
| 7 | 601 | 349 |
| 8 | 671 | 349 |
| 9 | 746 | 349 |
| 10 | 804 | 349 |
| 11 | 851 | 349 |
| 12 | 881 | 349 |
| 13 | 892 | 349 |
| 14 | 894 | 349 |
| 15 | 897 | 349 |
| 16 | 902 | 349 |
| 17 | 903 | 349 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 1152921504606847/2305843009213693952 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 (/.f64 (+.f64 #s(literal -1 binary64) (+.f64 x (/.f64 (+.f64 #s(literal -1 binary64) x) y))) y) (+.f64 #s(literal -1 binary64) x)) y)))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 1152921504606847/2305843009213693952 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 9007197453301141/9007199254740992 binary64)) (-.f64 #s(literal 1 binary64) (log.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (-.f64 y x) #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 9007197453301141/9007199254740992 binary64)) (-.f64 #s(literal 1 binary64) (log1p.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (-.f64 y 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 9007197453301141/9007199254740992 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 -10 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 1152921504606847/2305843009213693952 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 x))) (-.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y))))) |
(if (<=.f64 y #s(literal -4699999999999999889471695219563954176 binary64)) (-.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (neg.f64 y)))) (if (<=.f64 y #s(literal -2833419889721787/4722366482869645213696 binary64)) (-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))))) (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 -19 binary64)) (-.f64 #s(literal 1 binary64) (neg.f64 (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 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) #s(literal 8106479329266893/9007199254740992 binary64)) (-.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (neg.f64 y)))) (-.f64 #s(literal 1 binary64) (log1p.f64 (-.f64 y x)))) |
(if (<=.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) #s(literal 8106479329266893/9007199254740992 binary64)) #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (log1p.f64 (-.f64 y x)))) |
(if (<=.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) #s(literal 8106479329266893/9007199254740992 binary64)) #s(literal 1 binary64) (-.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 20 binary64)) #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (log.f64 (neg.f64 x)))) |
#s(literal 1 binary64) |
| Outputs |
|---|
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 1152921504606847/2305843009213693952 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 (/.f64 (+.f64 #s(literal -1 binary64) (+.f64 x (/.f64 (+.f64 #s(literal -1 binary64) x) y))) y) (+.f64 #s(literal -1 binary64) x)) y)))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 1152921504606847/2305843009213693952 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 (+.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal -1 binary64) (+.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) y))) y)) y)))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 1152921504606847/2305843009213693952 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 1152921504606847/2305843009213693952 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 9007197453301141/9007199254740992 binary64)) (-.f64 #s(literal 1 binary64) (log.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (-.f64 y x) #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 9007197453301141/9007199254740992 binary64)) (-.f64 #s(literal 1 binary64) (log.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (-.f64 y 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 9007197453301141/9007199254740992 binary64)) (-.f64 #s(literal 1 binary64) (log1p.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (-.f64 y 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 9007197453301141/9007199254740992 binary64)) (-.f64 #s(literal 1 binary64) (log1p.f64 (*.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (+.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 9007197453301141/9007199254740992 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 9007197453301141/9007199254740992 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 -10 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 1152921504606847/2305843009213693952 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 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 -10 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 1152921504606847/2305843009213693952 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 x))) (-.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y))))) |
(if (<=.f64 y #s(literal -4699999999999999889471695219563954176 binary64)) (-.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (neg.f64 y)))) (if (<=.f64 y #s(literal -2833419889721787/4722366482869645213696 binary64)) (-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))))) (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 -4699999999999999889471695219563954176 binary64)) (+.f64 #s(literal 1 binary64) (log.f64 (neg.f64 y))) (if (<=.f64 y #s(literal -2833419889721787/4722366482869645213696 binary64)) (-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))))) (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 -19 binary64)) (-.f64 #s(literal 1 binary64) (neg.f64 (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 -19 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 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) #s(literal 8106479329266893/9007199254740992 binary64)) (-.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (neg.f64 y)))) (-.f64 #s(literal 1 binary64) (log1p.f64 (-.f64 y x)))) |
(if (<=.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) #s(literal 8106479329266893/9007199254740992 binary64)) (+.f64 #s(literal 1 binary64) (log.f64 (neg.f64 y))) (-.f64 #s(literal 1 binary64) (log1p.f64 (-.f64 y x)))) |
(if (<=.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) #s(literal 8106479329266893/9007199254740992 binary64)) #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (log1p.f64 (-.f64 y x)))) |
(if (<=.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) #s(literal 8106479329266893/9007199254740992 binary64)) #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (log1p.f64 (-.f64 y x)))) |
(if (<=.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) #s(literal 8106479329266893/9007199254740992 binary64)) #s(literal 1 binary64) (-.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 8106479329266893/9007199254740992 binary64)) #s(literal 1 binary64) (-.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 20 binary64)) #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (log.f64 (neg.f64 x)))) |
(if (<=.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) #s(literal 20 binary64)) #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (log.f64 (neg.f64 x)))) |
#s(literal 1 binary64) |
| 6 656× | accelerator-lowering-fma.f32 |
| 6 656× | accelerator-lowering-fma.f64 |
| 5 666× | accelerator-lowering-fma.f32 |
| 5 666× | accelerator-lowering-fma.f64 |
| 4 972× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 644 | 4263 |
| 1 | 2042 | 3505 |
| 2 | 6718 | 3404 |
| 0 | 8210 | 3257 |
| 0 | 21 | 78 |
| 1 | 159 | 78 |
| 2 | 1429 | 78 |
| 0 | 8136 | 63 |
| 0 | 24 | 110 |
| 1 | 183 | 104 |
| 2 | 1698 | 104 |
| 0 | 9048 | 93 |
| 0 | 432 | 2626 |
| 1 | 1404 | 2020 |
| 2 | 4890 | 1789 |
| 0 | 8558 | 1696 |
| 0 | 9 | 38 |
| 1 | 71 | 38 |
| 2 | 656 | 38 |
| 0 | 8707 | 34 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 730 to 369 computations (49.5% saved)
Compiled 840 to 232 computations (72.4% saved)
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