
Time bar (total: 11.4s)
| 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)
| 624.0ms | 5 948× | 0 | valid |
| 615.0ms | 1 710× | 0 | invalid |
| 463.0ms | 2 308× | 1 | valid |
| 158.0ms | 1 107× | 1 | invalid |
ival-sub: 520.0ms (47.9% of total)ival-div: 237.0ms (21.8% of total)ival-log: 216.0ms (19.9% of total)adjust: 93.0ms (8.6% of total)exact: 8.0ms (0.7% of total)ival-true: 7.0ms (0.6% of total)ival-assert: 4.0ms (0.4% of total)| 1× | egg-herbie |
| 540× | accelerator-lowering-fma.f32 |
| 540× | accelerator-lowering-fma.f64 |
| 356× | sub-neg |
| 332× | times-frac |
| 296× | div-sub |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 68 |
| 1 | 64 | 62 |
| 2 | 172 | 60 |
| 3 | 430 | 60 |
| 4 | 967 | 60 |
| 5 | 1883 | 60 |
| 6 | 2365 | 60 |
| 7 | 2526 | 60 |
| 8 | 2571 | 60 |
| 9 | 2585 | 60 |
| 10 | 2585 | 60 |
| 0 | 9 | 12 |
| 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))))) |
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 96 | 0 | - | 0 | - | (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))) |
| 79 | 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 | 96 | 0 |
-.f64 | (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) | cancellation | 79 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 79 | 0 |
| - | 96 | 81 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 79 | 0 | 0 |
| - | 96 | 0 | 81 |
| number | freq |
|---|---|
| 0 | 81 |
| 1 | 175 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 53.0ms | 294× | 1 | valid |
| 20.0ms | 188× | 0 | valid |
| 10.0ms | 28× | 2 | valid |
| 1.0ms | 2× | 3 | valid |
Compiled 126 to 40 computations (68.3% saved)
ival-log: 22.0ms (36.4% of total)ival-sub: 16.0ms (26.5% of total)ival-div: 12.0ms (19.9% of total)adjust: 9.0ms (14.9% of total)exact: 1.0ms (1.7% 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 |
|---|---|---|
| ▶ | 71.3% | (-.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) y) |
| ✓ | accuracy | 99.9% | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| ✓ | accuracy | 71.8% | (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) |
| ✓ | accuracy | 66.2% | (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))) |
| 30.0ms | 147× | 1 | valid |
| 7.0ms | 94× | 0 | valid |
| 5.0ms | 14× | 2 | valid |
| 1.0ms | 1× | 3 | valid |
Compiled 49 to 11 computations (77.6% saved)
ival-sub: 12.0ms (39% of total)ival-log: 11.0ms (35.7% of total)adjust: 4.0ms (13% of total)ival-div: 3.0ms (9.7% of total)ival-assert: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (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))> |
#<alt (- 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)))> |
#<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))))> |
27 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (/ (- x y) (- 1 y)) |
| 1.0ms | y | @ | -inf | (log (- 1 (/ (- x y) (- 1 y)))) |
| 1.0ms | y | @ | inf | (log (- 1 (/ (- x y) (- 1 y)))) |
| 1.0ms | y | @ | 0 | (log (- 1 (/ (- x y) (- 1 y)))) |
| 1.0ms | x | @ | -inf | (log (- 1 (/ (- x y) (- 1 y)))) |
| 1× | batch-egg-rewrite |
| 4 848× | 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 | 41 |
| 1 | 71 | 41 |
| 2 | 656 | 41 |
| 0 | 8707 | 37 |
| 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)) |
(- 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)))) |
(/.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))) |
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(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))))) (*.f64 (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) #s(literal 2 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))))) |
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(*.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))) |
(+.f64 #s(literal 1 binary64) (neg.f64 y)) |
(+.f64 (neg.f64 y) #s(literal 1 binary64)) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 y y y))) (neg.f64 (/.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) y)) (neg.f64 (/.f64 (*.f64 y y) (+.f64 #s(literal 1 binary64) y)))) |
(-.f64 #s(literal 1 binary64) y) |
(-.f64 #s(literal 1 binary64) (/.f64 y #s(literal 1 binary64))) |
(-.f64 #s(literal 0 binary64) (+.f64 y #s(literal -1 binary64))) |
(-.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) y)) (/.f64 (*.f64 y y) (+.f64 #s(literal 1 binary64) y))) |
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 y y y))) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 y (*.f64 y y)) (+.f64 #s(literal 1 binary64) (fma.f64 y y y))) #s(literal 1 binary64))) |
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 y y) (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1 binary64) (neg.f64 y) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 y y y))) (neg.f64 (/.f64 (*.f64 y (*.f64 y y)) (+.f64 #s(literal 1 binary64) (fma.f64 y y y))))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (neg.f64 (/.f64 (*.f64 y y) (+.f64 #s(literal 1 binary64) y)))) |
(fma.f64 y #s(literal -1 binary64) #s(literal 1 binary64)) |
(fma.f64 (neg.f64 y) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1 binary64) y #s(literal 1 binary64)) |
(neg.f64 (+.f64 y #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) |
(/.f64 (+.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)) |
(/.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))) (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 y y 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)) (neg.f64 (+.f64 (neg.f64 y) #s(literal -1 binary64)))) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (+.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 y y y)))) |
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y)) (+.f64 (neg.f64 y) #s(literal -1 binary64))) |
(/.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 (-.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 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))))) (+.f64 #s(literal 1 binary64) (fma.f64 y y y))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))))) (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 y y y))))) |
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y))) (+.f64 #s(literal 1 binary64) y)) |
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y))) (neg.f64 (+.f64 (neg.f64 y) #s(literal -1 binary64)))) |
(/.f64 (fma.f64 y (*.f64 y (neg.f64 y)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 y y y))) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 y y y))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 y (*.f64 y y)) (+.f64 #s(literal 1 binary64) (fma.f64 y y y))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 y y y))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 y y y))) (fma.f64 (/.f64 (*.f64 y (*.f64 y y)) (+.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) (fma.f64 y y y))) (/.f64 (*.f64 y (*.f64 y y)) (+.f64 #s(literal 1 binary64) (fma.f64 y y y))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 y y) (+.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (fma.f64 (/.f64 (*.f64 y y) (+.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) y)) (/.f64 (*.f64 y y) (+.f64 #s(literal 1 binary64) y)))))) |
(/.f64 (-.f64 (*.f64 y y) #s(literal 1 binary64)) (-.f64 (neg.f64 y) #s(literal 1 binary64))) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 y y y))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 y y y)))) (*.f64 (/.f64 (*.f64 y (*.f64 y y)) (+.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) (fma.f64 y y y))) (/.f64 (*.f64 y (*.f64 y y)) (+.f64 #s(literal 1 binary64) (fma.f64 y y y))))) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y))) (*.f64 (/.f64 (*.f64 y y) (+.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) y)) (/.f64 (*.f64 y y) (+.f64 #s(literal 1 binary64) y)))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) |
(*.f64 (-.f64 #s(literal 1 binary64) 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 #s(literal -1 binary64) (+.f64 y #s(literal -1 binary64))) |
(*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 y y y))))) |
(*.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 y) #s(literal -1 binary64)))) |
| 1× | egg-herbie |
| 6 808× | accelerator-lowering-fma.f32 |
| 6 808× | accelerator-lowering-fma.f64 |
| 3 982× | +-lowering-+.f64 |
| 3 982× | +-lowering-+.f32 |
| 2 656× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 439 | 2658 |
| 1 | 1420 | 2052 |
| 2 | 4943 | 1821 |
| 0 | 8672 | 1728 |
| 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))) |
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 |
|---|
(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 #s(literal -1/2 binary64) (/.f64 x (*.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 y #s(literal -1 binary64))))))) (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 #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 y #s(literal -1 binary64))))))) (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 y #s(literal -1 binary64)))) |
(+ (log (neg (/ 1 (- 1 y)))) (+ (* -1 (log (/ 1 x))) (* -1 (/ (* (+ 1 (/ y (- 1 y))) (- 1 y)) x)))) |
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y))) (/.f64 (+.f64 y #s(literal -1 binary64)) x) (-.f64 (log.f64 x) (log.f64 (+.f64 y #s(literal -1 binary64))))) |
(+ (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 y #s(literal -1 binary64)))) (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (+.f64 #s(literal -1 binary64) (/.f64 y (+.f64 y #s(literal -1 binary64)))) (*.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 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)) x)))) 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 y #s(literal -1 binary64)))) (fma.f64 (*.f64 #s(literal -1/3 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 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y)))))) (/.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 (fma.f64 (-.f64 #s(literal 1 binary64) y) (+.f64 #s(literal -1 binary64) (/.f64 y (+.f64 y #s(literal -1 binary64)))) (*.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 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)) x)))) x))) |
(+ (log (/ 1 (- 1 y))) (* -1 (log (/ -1 x)))) |
(-.f64 (neg.f64 (log1p.f64 (neg.f64 y))) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(+ (log (/ 1 (- 1 y))) (+ (* -1 (log (/ -1 x))) (* -1 (/ (* (- 1 y) (- 1 (* -1 (/ y (- 1 y))))) x)))) |
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y))) (/.f64 (+.f64 y #s(literal -1 binary64)) x)) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log1p.f64 (neg.f64 y)))) |
(+ (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)))) |
(-.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (+.f64 #s(literal -1 binary64) (/.f64 y (+.f64 y #s(literal -1 binary64)))) (*.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 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)) x)))) x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log1p.f64 (neg.f64 y)))) |
(+ (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)))) |
(-.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (+.f64 #s(literal -1 binary64) (/.f64 y (+.f64 y #s(literal -1 binary64)))) (/.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 #s(literal -1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))) (*.f64 #s(literal -1/3 binary64) (*.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 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) 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))) |
(+ (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 #s(literal -1 binary64) x)) (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 #s(literal -1 binary64) x)) (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 (log.f64 (+.f64 #s(literal -1 binary64) x)) (log.f64 y)) (+.f64 (/.f64 #s(literal 1 binary64) 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 #s(literal -1 binary64) x)) (+.f64 (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (log.f64 y)) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (/.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 y y))))) |
(+ (log (- 1 x)) (log (/ -1 y))) |
(+.f64 (log1p.f64 (neg.f64 x)) (neg.f64 (log.f64 (neg.f64 y)))) |
(+ (log (- 1 x)) (+ (log (/ -1 y)) (* -1 (/ (- (/ x (- 1 x)) (/ 1 (- 1 x))) y)))) |
(+.f64 (log1p.f64 (neg.f64 x)) (+.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 (log.f64 (neg.f64 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)))) |
(+.f64 (neg.f64 (log.f64 (neg.f64 y))) (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y)) y) (log1p.f64 (neg.f64 x)))) |
(+ (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)))) |
(+.f64 (neg.f64 (log.f64 (neg.f64 y))) (-.f64 (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))))) |
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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)) |
(-.f64 #s(literal 1 binary64) y) |
(* y (- (/ 1 y) 1)) |
(-.f64 #s(literal 1 binary64) y) |
(* y (- (/ 1 y) 1)) |
(-.f64 #s(literal 1 binary64) y) |
(* -1 y) |
(neg.f64 y) |
(* -1 (* y (- 1 (/ 1 y)))) |
(-.f64 #s(literal 1 binary64) y) |
(* -1 (* y (- 1 (/ 1 y)))) |
(-.f64 #s(literal 1 binary64) y) |
(* -1 (* y (- 1 (/ 1 y)))) |
(-.f64 #s(literal 1 binary64) y) |
Compiled 12 464 to 1 829 computations (85.3% saved)
11 alts after pruning (11 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 407 | 11 | 418 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 408 | 11 | 419 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 59.2% | (-.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))) |
| ▶ | 60.1% | (-.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 x))) |
| 71.3% | (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) | |
| 39.6% | (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)))) | |
| ▶ | 61.2% | (-.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x))) |
| 41.1% | (-.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))) | |
| 40.0% | (-.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal -1 binary64) (+.f64 x (/.f64 (+.f64 #s(literal -1 binary64) x) y))) y))) | |
| ▶ | 41.5% | (-.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y))) |
| 41.7% | (-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))))) | |
| ▶ | 71.5% | (-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 y (fma.f64 y x (neg.f64 x))) (/.f64 x (-.f64 #s(literal 1 binary64) y)))))) |
| 2.4% | (-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)))) |
Compiled 276 to 194 computations (29.7% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (log1p.f64 (neg.f64 x)) |
| ✓ | cost-diff | 0 | (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (-.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (log1p.f64 (neg.f64 x))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal -1 binary64) x) |
| ✓ | cost-diff | 0 | (/.f64 (+.f64 #s(literal -1 binary64) x) y) |
| ✓ | cost-diff | 0 | (log.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y)) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y))) |
| ✓ | cost-diff | 0 | (neg.f64 x) |
| ✓ | cost-diff | 0 | (log1p.f64 (neg.f64 x)) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 1 binary64) y) |
| ✓ | cost-diff | 0 | (-.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 x))) |
| ✓ | cost-diff | 0 | (neg.f64 x) |
| ✓ | cost-diff | 0 | (log1p.f64 (neg.f64 x)) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x))) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 y (fma.f64 y x (neg.f64 x))) (/.f64 x (-.f64 #s(literal 1 binary64) y)))))) |
| ✓ | cost-diff | 64 | (log.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 y (fma.f64 y x (neg.f64 x))) (/.f64 x (-.f64 #s(literal 1 binary64) y))))) |
| ✓ | cost-diff | 128 | (-.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 y (fma.f64 y x (neg.f64 x))) (/.f64 x (-.f64 #s(literal 1 binary64) y)))) |
| ✓ | cost-diff | 1088 | (fma.f64 x (/.f64 y (fma.f64 y x (neg.f64 x))) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
| 4 696× | accelerator-lowering-fma.f32 |
| 4 696× | accelerator-lowering-fma.f64 |
| 2 220× | *-lowering-*.f32 |
| 2 220× | *-lowering-*.f64 |
| 2 032× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 194 |
| 1 | 70 | 194 |
| 2 | 149 | 194 |
| 3 | 309 | 186 |
| 4 | 754 | 178 |
| 5 | 1705 | 170 |
| 6 | 3687 | 170 |
| 7 | 4808 | 170 |
| 8 | 5995 | 170 |
| 9 | 6656 | 170 |
| 10 | 6975 | 170 |
| 11 | 7036 | 170 |
| 12 | 7883 | 170 |
| 0 | 8148 | 154 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- 1 (log (- 1 (+ (* x (/ y (+ (* y x) (neg x)))) (/ x (- 1 y)))))) |
1 |
(log (- 1 (+ (* x (/ y (+ (* y x) (neg x)))) (/ x (- 1 y))))) |
(- 1 (+ (* x (/ y (+ (* y x) (neg x)))) (/ x (- 1 y)))) |
(+ (* x (/ y (+ (* y x) (neg x)))) (/ x (- 1 y))) |
x |
(/ y (+ (* y x) (neg x))) |
y |
(+ (* y x) (neg x)) |
(neg x) |
(/ x (- 1 y)) |
(- 1 y) |
(- 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 (/ (+ -1 x) y))) |
1 |
(log (/ (+ -1 x) y)) |
(/ (+ -1 x) y) |
(+ -1 x) |
-1 |
x |
y |
(- (+ (* y (+ (* y -1/2) -1)) 1) (log (+ 1 (neg x)))) |
(+ (* y (+ (* y -1/2) -1)) 1) |
y |
(+ (* y -1/2) -1) |
-1/2 |
-1 |
1 |
(log (+ 1 (neg x))) |
(neg x) |
x |
| Outputs |
|---|
(- 1 (log (- 1 (+ (* x (/ y (+ (* y x) (neg x)))) (/ x (- 1 y)))))) |
(-.f64 #s(literal 1 binary64) (log1p.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (-.f64 x y)))) |
1 |
#s(literal 1 binary64) |
(log (- 1 (+ (* x (/ y (+ (* y x) (neg x)))) (/ x (- 1 y))))) |
(log1p.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (-.f64 x y))) |
(- 1 (+ (* x (/ y (+ (* y x) (neg x)))) (/ x (- 1 y)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (-.f64 x y) #s(literal 1 binary64)) |
(+ (* x (/ y (+ (* y x) (neg x)))) (/ x (- 1 y))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (-.f64 y x)) |
x |
(/ y (+ (* y x) (neg x))) |
(/.f64 y (-.f64 (*.f64 x y) x)) |
y |
(+ (* y x) (neg x)) |
(-.f64 (*.f64 x y) x) |
(neg x) |
(neg.f64 x) |
(/ x (- 1 y)) |
(/.f64 x (-.f64 #s(literal 1 binary64) y)) |
(- 1 y) |
(-.f64 #s(literal 1 binary64) y) |
(- 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 (/ (+ -1 x) y))) |
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y))) |
1 |
#s(literal 1 binary64) |
(log (/ (+ -1 x) y)) |
(log.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y)) |
(/ (+ -1 x) y) |
(/.f64 (+.f64 x #s(literal -1 binary64)) y) |
(+ -1 x) |
(+.f64 x #s(literal -1 binary64)) |
-1 |
#s(literal -1 binary64) |
x |
y |
(- (+ (* y (+ (* y -1/2) -1)) 1) (log (+ 1 (neg 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))) |
(+ (* 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) |
(log (+ 1 (neg x))) |
(log1p.f64 (neg.f64 x)) |
(neg x) |
(neg.f64 x) |
x |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) |
| ✓ | accuracy | 100.0% | (-.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (log1p.f64 (neg.f64 x))) |
| ✓ | accuracy | 100.0% | (neg.f64 x) |
| ✓ | accuracy | 100.0% | (log1p.f64 (neg.f64 x)) |
| ✓ | accuracy | 100.0% | (/.f64 (+.f64 #s(literal -1 binary64) x) y) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal -1 binary64) x) |
| ✓ | accuracy | 100.0% | (-.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y))) |
| ✓ | accuracy | 95.1% | (log.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y)) |
| ✓ | accuracy | 100.0% | (-.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 x))) |
| ✓ | accuracy | 100.0% | (-.f64 #s(literal 1 binary64) y) |
| ✓ | accuracy | 100.0% | (neg.f64 x) |
| ✓ | accuracy | 100.0% | (log1p.f64 (neg.f64 x)) |
| ✓ | accuracy | 100.0% | (neg.f64 x) |
| ✓ | accuracy | 100.0% | (log1p.f64 (neg.f64 x)) |
| ✓ | accuracy | 100.0% | (-.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x))) |
| ✓ | accuracy | 99.9% | (fma.f64 x (/.f64 y (fma.f64 y x (neg.f64 x))) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
| ✓ | accuracy | 96.6% | (/.f64 y (fma.f64 y x (neg.f64 x))) |
| ✓ | accuracy | 83.7% | (log.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 y (fma.f64 y x (neg.f64 x))) (/.f64 x (-.f64 #s(literal 1 binary64) y))))) |
| ✓ | accuracy | 74.3% | (-.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 y (fma.f64 y x (neg.f64 x))) (/.f64 x (-.f64 #s(literal 1 binary64) y)))) |
| 53.0ms | 104× | 1 | valid |
| 32.0ms | 103× | 0 | invalid |
| 9.0ms | 43× | 0 | valid |
| 4.0ms | 5× | 2 | valid |
| 1.0ms | 1× | 3 | valid |
Compiled 181 to 30 computations (83.4% saved)
ival-log: 14.0ms (21% of total)ival-sub: 12.0ms (18% of total)ival-add: 10.0ms (15% of total)adjust: 8.0ms (12% of total)ival-mult: 8.0ms (12% of total)ival-div: 7.0ms (10.5% of total)ival-neg: 4.0ms (6% of total)ival-log1p: 3.0ms (4.5% of total)ival-assert: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (+ (* x (/ y (+ (* y x) (neg x)))) (/ x (- 1 y)))> |
#<alt (- 1 (+ (* x (/ y (+ (* y x) (neg x)))) (/ x (- 1 y))))> |
#<alt (log (- 1 (+ (* x (/ y (+ (* y x) (neg x)))) (/ x (- 1 y)))))> |
#<alt (- 1 (log (- 1 (+ (* x (/ y (+ (* y x) (neg x)))) (/ x (- 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 (/ (+ -1 x) y)))> |
#<alt (log (/ (+ -1 x) y))> |
#<alt (/ (+ -1 x) y)> |
#<alt (+ -1 x)> |
#<alt (- (+ (* y (+ (* y -1/2) -1)) 1) (log (+ 1 (neg x))))> |
#<alt (+ (* y (+ (* y -1/2) -1)) 1)> |
#<alt (+ (* y -1/2) -1)> |
#<alt (/ y (+ (* y x) (neg x)))> |
| Outputs |
|---|
#<alt (/ y (- y 1))> |
#<alt (+ (/ x (- 1 y)) (/ y (- y 1)))> |
#<alt (+ (/ x (- 1 y)) (/ y (- y 1)))> |
#<alt (+ (/ x (- 1 y)) (/ y (- y 1)))> |
#<alt (/ x (- 1 y))> |
#<alt (* x (+ (/ 1 (- 1 y)) (/ y (* x (- y 1)))))> |
#<alt (* x (+ (/ 1 (- 1 y)) (/ y (* x (- y 1)))))> |
#<alt (* x (+ (/ 1 (- 1 y)) (/ y (* x (- y 1)))))> |
#<alt (/ x (- 1 y))> |
#<alt (* -1 (* x (- (/ y (* x (+ 1 (* -1 y)))) (/ 1 (- 1 y)))))> |
#<alt (* -1 (* x (- (/ y (* x (+ 1 (* -1 y)))) (/ 1 (- 1 y)))))> |
#<alt (* -1 (* x (- (/ y (* x (+ 1 (* -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 y) (/ 1 (pow y 2))))) (/ x (pow y 2)))> |
#<alt (- (+ 1 (+ (* -1 (/ x y)) (+ (/ 1 y) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3)))))) (+ (/ x (pow y 2)) (/ x (pow y 3))))> |
#<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 y)) (/ 1 y))) x) y))) 1) y)))> |
#<alt (- 1 (/ y (- y 1)))> |
#<alt (- (+ 1 (* -1 (/ x (- 1 y)))) (/ y (- y 1)))> |
#<alt (- (+ 1 (* -1 (/ x (- 1 y)))) (/ y (- y 1)))> |
#<alt (- (+ 1 (* -1 (/ x (- 1 y)))) (/ y (- y 1)))> |
#<alt (* -1 (/ x (- 1 y)))> |
#<alt (* x (- (/ 1 x) (+ (/ 1 (- 1 y)) (/ y (* x (- y 1))))))> |
#<alt (* x (- (/ 1 x) (+ (/ 1 (- 1 y)) (/ y (* x (- y 1))))))> |
#<alt (* x (- (/ 1 x) (+ (/ 1 (- 1 y)) (/ y (* x (- y 1))))))> |
#<alt (* -1 (/ x (- 1 y)))> |
#<alt (* -1 (* x (+ (* -1 (/ (- 1 (* -1 (/ y (+ 1 (* -1 y))))) x)) (/ 1 (- 1 y)))))> |
#<alt (* -1 (* x (+ (* -1 (/ (- 1 (* -1 (/ y (+ 1 (* -1 y))))) x)) (/ 1 (- 1 y)))))> |
#<alt (* -1 (* x (+ (* -1 (/ (- 1 (* -1 (/ y (+ 1 (* -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 (log (- 1 (/ y (- y 1))))> |
#<alt (+ (log (- 1 (/ y (- y 1)))) (* -1 (/ x (* (- 1 y) (- 1 (/ y (- y 1)))))))> |
#<alt (+ (log (- 1 (/ y (- y 1)))) (* x (- (* -1/2 (/ x (* (pow (- 1 y) 2) (pow (- 1 (/ y (- y 1))) 2)))) (/ 1 (* (- 1 y) (- 1 (/ y (- y 1))))))))> |
#<alt (+ (log (- 1 (/ y (- y 1)))) (* x (- (* x (- (* -1/3 (/ x (* (pow (- 1 y) 3) (pow (- 1 (/ y (- y 1))) 3)))) (* 1/2 (/ 1 (* (pow (- 1 y) 2) (pow (- 1 (/ y (- y 1))) 2)))))) (/ 1 (* (- 1 y) (- 1 (/ y (- y 1))))))))> |
#<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 (- y 1)))) x))))> |
#<alt (+ (log (neg (/ 1 (- 1 y)))) (+ (* -1 (log (/ 1 x))) (+ (* -1 (/ (* (- 1 y) (- 1 (/ y (- y 1)))) x)) (* -1/2 (/ (* (pow (- 1 y) 2) (pow (- 1 (/ y (- y 1))) 2)) (pow x 2))))))> |
#<alt (+ (log (neg (/ 1 (- 1 y)))) (+ (* -1 (log (/ 1 x))) (+ (* -1 (/ (* (- 1 y) (- 1 (/ y (- y 1)))) x)) (+ (* -1/2 (/ (* (pow (- 1 y) 2) (pow (- 1 (/ y (- y 1))) 2)) (pow x 2))) (* -1/3 (/ (* (pow (- 1 y) 3) (pow (- 1 (/ y (- y 1))) 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 (* -1 y)))))) x))))> |
#<alt (+ (log (/ 1 (- 1 y))) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* 1/2 (/ (* (pow (- 1 y) 2) (pow (- 1 (* -1 (/ y (+ 1 (* -1 y))))) 2)) x)) (* (- 1 y) (- 1 (* -1 (/ y (+ 1 (* -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 (* -1 y))))) 2))) (* -1/3 (/ (* (pow (- 1 y) 3) (pow (- 1 (* -1 (/ y (+ 1 (* -1 y))))) 3)) x))) x)) (* (- 1 y) (- 1 (* -1 (/ y (+ 1 (* -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 (- y 1)))))> |
#<alt (- (+ 1 (/ x (* (- 1 y) (- 1 (/ y (- y 1)))))) (log (- 1 (/ y (- y 1)))))> |
#<alt (- (+ 1 (* x (+ (* 1/2 (/ x (* (pow (- 1 y) 2) (pow (- 1 (/ y (- y 1))) 2)))) (/ 1 (* (- 1 y) (- 1 (/ y (- y 1)))))))) (log (- 1 (/ y (- y 1)))))> |
#<alt (- (+ 1 (* x (+ (* x (+ (* 1/3 (/ x (* (pow (- 1 y) 3) (pow (- 1 (/ y (- y 1))) 3)))) (* 1/2 (/ 1 (* (pow (- 1 y) 2) (pow (- 1 (/ y (- y 1))) 2)))))) (/ 1 (* (- 1 y) (- 1 (/ y (- y 1)))))))) (log (- 1 (/ y (- y 1)))))> |
#<alt (- 1 (+ (log (neg (/ 1 (- 1 y)))) (* -1 (log (/ 1 x)))))> |
#<alt (- (+ 1 (/ (* (- 1 y) (- 1 (/ y (- y 1)))) x)) (+ (log (neg (/ 1 (- 1 y)))) (* -1 (log (/ 1 x)))))> |
#<alt (- (+ 1 (* 1/2 (/ (* (pow (- 1 y) 2) (pow (- 1 (/ y (- y 1))) 2)) (pow x 2)))) (+ (log (neg (/ 1 (- 1 y)))) (+ (* -1 (log (/ 1 x))) (* -1 (/ (* (- 1 y) (- 1 (/ y (- y 1)))) x)))))> |
#<alt (- (+ 1 (* 1/3 (/ (* (pow (- 1 y) 3) (pow (- 1 (/ y (- y 1))) 3)) (pow x 3)))) (+ (log (neg (/ 1 (- 1 y)))) (+ (* -1 (log (/ 1 x))) (+ (* -1 (/ (* (- 1 y) (- 1 (/ y (- y 1)))) x)) (* -1/2 (/ (* (pow (- 1 y) 2) (pow (- 1 (/ y (- y 1))) 2)) (pow x 2)))))))> |
#<alt (- 1 (+ (log (/ 1 (- 1 y))) (* -1 (log (/ -1 x)))))> |
#<alt (- (+ 1 (/ (* (- 1 y) (- 1 (* -1 (/ y (+ 1 (* -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 (* -1 y))))) 2)) x)) (* (- 1 y) (- 1 (* -1 (/ y (+ 1 (* -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 (* -1 y))))) 3)) x)) (* -1/2 (* (pow (- 1 y) 2) (pow (- 1 (* -1 (/ y (+ 1 (* -1 y))))) 2)))) x)) (* (- 1 y) (- 1 (* -1 (/ y (+ 1 (* -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> |
#<alt (+ 1 x)> |
#<alt (+ 1 (* x (+ 1 (* 1/2 x))))> |
#<alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/3 x))))))> |
#<alt (- 1 (+ (log -1) (* -1 (log (/ 1 x)))))> |
#<alt (- (+ 1 (/ 1 x)) (+ (log -1) (* -1 (log (/ 1 x)))))> |
#<alt (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ 1 x))) (+ (log -1) (* -1 (log (/ 1 x)))))> |
#<alt (- (+ 1 (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3)))))) (+ (log -1) (* -1 (log (/ 1 x)))))> |
#<alt (- 1 (* -1 (log (/ -1 x))))> |
#<alt (- (+ 1 (/ 1 x)) (* -1 (log (/ -1 x))))> |
#<alt (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ 1 x))) (* -1 (log (/ -1 x))))> |
#<alt (- (+ 1 (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x))) (* -1 (log (/ -1 x))))> |
#<alt (* -1 x)> |
#<alt (* x (- (* -1/2 x) 1))> |
#<alt (* x (- (* x (- (* -1/3 x) 1/2)) 1))> |
#<alt (* x (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1))> |
#<alt (+ (log -1) (* -1 (log (/ 1 x))))> |
#<alt (- (+ (log -1) (* -1 (log (/ 1 x)))) (/ 1 x))> |
#<alt (+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x))))> |
#<alt (- (+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) (pow x 2))))) (/ 1 x))> |
#<alt (* -1 (log (/ -1 x)))> |
#<alt (- (* -1 (log (/ -1 x))) (/ 1 x))> |
#<alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x)))> |
#<alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) x)))> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (- 1 (log (- 1 x)))> |
#<alt (- (+ 1 (* -1 y)) (log (- 1 x)))> |
#<alt (- (+ 1 (* -1 y)) (log (- 1 x)))> |
#<alt (- (+ 1 (* -1 y)) (log (- 1 x)))> |
#<alt (* -1 y)> |
#<alt (* y (- (/ 1 y) (+ 1 (/ (log (- 1 x)) y))))> |
#<alt (* y (- (/ 1 y) (+ 1 (/ (log (- 1 x)) y))))> |
#<alt (* y (- (/ 1 y) (+ 1 (/ (log (- 1 x)) y))))> |
#<alt (* -1 y)> |
#<alt (* -1 (* y (+ 1 (* -1 (/ (- 1 (log (- 1 x))) y)))))> |
#<alt (* -1 (* y (+ 1 (* -1 (/ (- 1 (log (- 1 x))) y)))))> |
#<alt (* -1 (* y (+ 1 (* -1 (/ (- 1 (log (- 1 x))) y)))))> |
#<alt (- 1 y)> |
#<alt (- (+ 1 x) y)> |
#<alt (- (+ 1 (* x (+ 1 (* 1/2 x)))) y)> |
#<alt (- (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/3 x)))))) y)> |
#<alt (- 1 (+ y (+ (log -1) (* -1 (log (/ 1 x))))))> |
#<alt (- (+ 1 (/ 1 x)) (+ y (+ (log -1) (* -1 (log (/ 1 x))))))> |
#<alt (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ 1 x))) (+ y (+ (log -1) (* -1 (log (/ 1 x))))))> |
#<alt (- (+ 1 (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3)))))) (+ y (+ (log -1) (* -1 (log (/ 1 x))))))> |
#<alt (- 1 (+ y (* -1 (log (/ -1 x)))))> |
#<alt (- (+ 1 (/ 1 x)) (+ y (* -1 (log (/ -1 x)))))> |
#<alt (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ 1 x))) (+ y (* -1 (log (/ -1 x)))))> |
#<alt (- (+ 1 (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x))) (+ y (* -1 (log (/ -1 x)))))> |
#<alt 1> |
#<alt (+ 1 (* -1 y))> |
#<alt (+ 1 (* -1 y))> |
#<alt (+ 1 (* -1 y))> |
#<alt (* -1 y)> |
#<alt (* y (- (/ 1 y) 1))> |
#<alt (* y (- (/ 1 y) 1))> |
#<alt (* y (- (/ 1 y) 1))> |
#<alt (* -1 y)> |
#<alt (* -1 (* y (- 1 (/ 1 y))))> |
#<alt (* -1 (* y (- 1 (/ 1 y))))> |
#<alt (* -1 (* y (- 1 (/ 1 y))))> |
#<alt (- 1 (log (/ -1 y)))> |
#<alt (- (+ 1 x) (log (/ -1 y)))> |
#<alt (- (+ 1 (* x (+ 1 (* 1/2 x)))) (log (/ -1 y)))> |
#<alt (- (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/3 x)))))) (log (/ -1 y)))> |
#<alt (- 1 (+ (log (/ 1 y)) (* -1 (log (/ 1 x)))))> |
#<alt (- (+ 1 (/ 1 x)) (+ (log (/ 1 y)) (* -1 (log (/ 1 x)))))> |
#<alt (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ 1 x))) (+ (log (/ 1 y)) (* -1 (log (/ 1 x)))))> |
#<alt (- (+ 1 (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3)))))) (+ (log (/ 1 y)) (* -1 (log (/ 1 x)))))> |
#<alt (- 1 (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))))> |
#<alt (- (+ 1 (/ 1 x)) (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))))> |
#<alt (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ 1 x))) (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))))> |
#<alt (- (+ 1 (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x))) (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))))> |
#<alt (- 1 (+ (log (- x 1)) (* -1 (log y))))> |
#<alt (- 1 (+ (log (- x 1)) (* -1 (log y))))> |
#<alt (- 1 (+ (log (- x 1)) (* -1 (log y))))> |
#<alt (- 1 (+ (log (- x 1)) (* -1 (log y))))> |
#<alt (- 1 (+ (log (- x 1)) (log (/ 1 y))))> |
#<alt (- 1 (+ (log (- x 1)) (log (/ 1 y))))> |
#<alt (- 1 (+ (log (- x 1)) (log (/ 1 y))))> |
#<alt (- 1 (+ (log (- x 1)) (log (/ 1 y))))> |
#<alt (- 1 (+ (log (* -1 (- x 1))) (log (/ -1 y))))> |
#<alt (- 1 (+ (log (* -1 (- x 1))) (log (/ -1 y))))> |
#<alt (- 1 (+ (log (* -1 (- x 1))) (log (/ -1 y))))> |
#<alt (- 1 (+ (log (* -1 (- x 1))) (log (/ -1 y))))> |
#<alt (log (/ -1 y))> |
#<alt (+ (log (/ -1 y)) (* -1 x))> |
#<alt (+ (log (/ -1 y)) (* x (- (* -1/2 x) 1)))> |
#<alt (+ (log (/ -1 y)) (* x (- (* x (- (* -1/3 x) 1/2)) 1)))> |
#<alt (+ (log (/ 1 y)) (* -1 (log (/ 1 x))))> |
#<alt (- (+ (log (/ 1 y)) (* -1 (log (/ 1 x)))) (/ 1 x))> |
#<alt (+ (log (/ 1 y)) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x))))> |
#<alt (- (+ (log (/ 1 y)) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) (pow x 2))))) (/ 1 x))> |
#<alt (+ (log (/ -1 y)) (* -1 (log (/ -1 x))))> |
#<alt (- (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))) (/ 1 x))> |
#<alt (+ (log (/ -1 y)) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x))))> |
#<alt (+ (log (/ -1 y)) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) x))))> |
#<alt (+ (log (- x 1)) (* -1 (log y)))> |
#<alt (+ (log (- x 1)) (* -1 (log y)))> |
#<alt (+ (log (- x 1)) (* -1 (log y)))> |
#<alt (+ (log (- x 1)) (* -1 (log y)))> |
#<alt (+ (log (- x 1)) (log (/ 1 y)))> |
#<alt (+ (log (- x 1)) (log (/ 1 y)))> |
#<alt (+ (log (- x 1)) (log (/ 1 y)))> |
#<alt (+ (log (- x 1)) (log (/ 1 y)))> |
#<alt (+ (log (* -1 (- x 1))) (log (/ -1 y)))> |
#<alt (+ (log (* -1 (- x 1))) (log (/ -1 y)))> |
#<alt (+ (log (* -1 (- x 1))) (log (/ -1 y)))> |
#<alt (+ (log (* -1 (- x 1))) (log (/ -1 y)))> |
#<alt (/ -1 y)> |
#<alt (- (/ x y) (/ 1 y))> |
#<alt (- (/ x y) (/ 1 y))> |
#<alt (- (/ x y) (/ 1 y))> |
#<alt (/ x y)> |
#<alt (* x (- (/ 1 y) (/ 1 (* x y))))> |
#<alt (* x (- (/ 1 y) (/ 1 (* x y))))> |
#<alt (* x (- (/ 1 y) (/ 1 (* x y))))> |
#<alt (/ x y)> |
#<alt (* -1 (* x (- (/ 1 (* x y)) (/ 1 y))))> |
#<alt (* -1 (* x (- (/ 1 (* x y)) (/ 1 y))))> |
#<alt (* -1 (* x (- (/ 1 (* x y)) (/ 1 y))))> |
#<alt (/ (- x 1) y)> |
#<alt (/ (- x 1) y)> |
#<alt (/ (- x 1) y)> |
#<alt (/ (- x 1) y)> |
#<alt (/ (- x 1) y)> |
#<alt (/ (- x 1) y)> |
#<alt (/ (- x 1) y)> |
#<alt (/ (- x 1) y)> |
#<alt (/ (- x 1) y)> |
#<alt (/ (- x 1) y)> |
#<alt (/ (- x 1) y)> |
#<alt (/ (- x 1) y)> |
#<alt -1> |
#<alt (- x 1)> |
#<alt (- x 1)> |
#<alt (- x 1)> |
#<alt x> |
#<alt (* x (- 1 (/ 1 x)))> |
#<alt (* x (- 1 (/ 1 x)))> |
#<alt (* x (- 1 (/ 1 x)))> |
#<alt x> |
#<alt (* -1 (* x (- (/ 1 x) 1)))> |
#<alt (* -1 (* x (- (/ 1 x) 1)))> |
#<alt (* -1 (* x (- (/ 1 x) 1)))> |
#<alt (- 1 (log (- 1 x)))> |
#<alt (- (+ 1 (* -1 y)) (log (- 1 x)))> |
#<alt (- (+ 1 (* y (- (* -1/2 y) 1))) (log (- 1 x)))> |
#<alt (- (+ 1 (* y (- (* -1/2 y) 1))) (log (- 1 x)))> |
#<alt (* -1/2 (pow y 2))> |
#<alt (* -1 (* (pow y 2) (+ 1/2 (/ 1 y))))> |
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) (+ 1/2 (+ (/ 1 y) (/ (log (- 1 x)) (pow y 2))))))> |
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) (+ 1/2 (+ (/ 1 y) (/ (log (- 1 x)) (pow y 2))))))> |
#<alt (* -1/2 (pow y 2))> |
#<alt (* -1 (* (pow y 2) (+ 1/2 (/ 1 y))))> |
#<alt (* (pow y 2) (- (* -1 (/ (+ 1 (* -1 (/ (- 1 (log (- 1 x))) y))) y)) 1/2))> |
#<alt (* (pow y 2) (- (* -1 (/ (+ 1 (* -1 (/ (- 1 (log (- 1 x))) y))) y)) 1/2))> |
#<alt (+ 1 (* y (- (* -1/2 y) 1)))> |
#<alt (+ 1 (+ x (* y (- (* -1/2 y) 1))))> |
#<alt (+ 1 (+ (* x (+ 1 (* 1/2 x))) (* y (- (* -1/2 y) 1))))> |
#<alt (+ 1 (+ (* x (+ 1 (* x (+ 1/2 (* 1/3 x))))) (* y (- (* -1/2 y) 1))))> |
#<alt (- (+ 1 (* y (- (* -1/2 y) 1))) (+ (log -1) (* -1 (log (/ 1 x)))))> |
#<alt (- (+ 1 (+ (* y (- (* -1/2 y) 1)) (/ 1 x))) (+ (log -1) (* -1 (log (/ 1 x)))))> |
#<alt (- (+ 1 (+ (* y (- (* -1/2 y) 1)) (+ (/ 1/2 (pow x 2)) (/ 1 x)))) (+ (log -1) (* -1 (log (/ 1 x)))))> |
#<alt (- (+ 1 (+ (* y (- (* -1/2 y) 1)) (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))))) (+ (log -1) (* -1 (log (/ 1 x)))))> |
#<alt (- (+ 1 (* y (- (* -1/2 y) 1))) (* -1 (log (/ -1 x))))> |
#<alt (- (+ 1 (+ (* y (- (* -1/2 y) 1)) (/ 1 x))) (* -1 (log (/ -1 x))))> |
#<alt (- (+ 1 (+ (* y (- (* -1/2 y) 1)) (+ (/ 1/2 (pow x 2)) (/ 1 x)))) (* -1 (log (/ -1 x))))> |
#<alt (- (+ 1 (+ (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x)) (* y (- (* -1/2 y) 1)))) (* -1 (log (/ -1 x))))> |
#<alt 1> |
#<alt (+ 1 (* -1 y))> |
#<alt (+ 1 (* y (- (* -1/2 y) 1)))> |
#<alt (+ 1 (* y (- (* -1/2 y) 1)))> |
#<alt (* -1/2 (pow y 2))> |
#<alt (* -1 (* (pow y 2) (+ 1/2 (/ 1 y))))> |
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) (+ 1/2 (/ 1 y))))> |
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) (+ 1/2 (/ 1 y))))> |
#<alt (* -1/2 (pow y 2))> |
#<alt (* -1 (* (pow y 2) (+ 1/2 (/ 1 y))))> |
#<alt (* (pow y 2) (- (* -1 (/ (- 1 (/ 1 y)) y)) 1/2))> |
#<alt (* (pow y 2) (- (* -1 (/ (- 1 (/ 1 y)) y)) 1/2))> |
#<alt -1> |
#<alt (- (* -1/2 y) 1)> |
#<alt (- (* -1/2 y) 1)> |
#<alt (- (* -1/2 y) 1)> |
#<alt (* -1/2 y)> |
#<alt (* -1 (* y (+ 1/2 (/ 1 y))))> |
#<alt (* -1 (* y (+ 1/2 (/ 1 y))))> |
#<alt (* -1 (* y (+ 1/2 (/ 1 y))))> |
#<alt (* -1/2 y)> |
#<alt (* -1 (* y (+ 1/2 (/ 1 y))))> |
#<alt (* -1 (* y (+ 1/2 (/ 1 y))))> |
#<alt (* -1 (* y (+ 1/2 (/ 1 y))))> |
#<alt (* -1 (/ y x))> |
#<alt (* y (- (* -1 (/ y x)) (/ 1 x)))> |
#<alt (* y (- (* y (- (* -1 (/ y x)) (/ 1 x))) (/ 1 x)))> |
#<alt (* y (- (* y (- (* y (- (* -1 (/ y x)) (/ 1 x))) (/ 1 x))) (/ 1 x)))> |
#<alt (/ 1 x)> |
#<alt (+ (/ 1 x) (/ 1 (* x y)))> |
#<alt (+ (/ 1 x) (+ (/ 1 (* x y)) (/ 1 (* x (pow y 2)))))> |
#<alt (+ (/ 1 x) (+ (/ 1 (* x y)) (+ (/ 1 (* x (pow y 2))) (/ 1 (* x (pow y 3))))))> |
#<alt (/ 1 x)> |
#<alt (+ (/ 1 x) (/ 1 (* x y)))> |
#<alt (+ (/ 1 x) (+ (/ 1 (* x y)) (/ 1 (* x (pow y 2)))))> |
#<alt (+ (* -1 (/ (- (* -1 (/ (+ (/ 1 x) (/ 1 (* x y))) y)) (/ 1 x)) y)) (/ 1 x))> |
#<alt (/ y (* x (- y 1)))> |
#<alt (/ y (* x (- y 1)))> |
#<alt (/ y (* x (- y 1)))> |
#<alt (/ y (* x (- y 1)))> |
#<alt (/ y (* x (- y 1)))> |
#<alt (/ y (* x (- y 1)))> |
#<alt (/ y (* x (- y 1)))> |
#<alt (/ y (* x (- y 1)))> |
#<alt (* -1 (/ y (* x (+ 1 (* -1 y)))))> |
#<alt (* -1 (/ y (* x (+ 1 (* -1 y)))))> |
#<alt (* -1 (/ y (* x (+ 1 (* -1 y)))))> |
#<alt (* -1 (/ y (* x (+ 1 (* -1 y)))))> |
81 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 128.0ms | y | @ | 0 | (- 1 (log (/ (+ -1 x) y))) |
| 128.0ms | y | @ | inf | (- 1 (log (/ (+ -1 x) y))) |
| 14.0ms | y | @ | -inf | (- 1 (log (/ (+ -1 x) y))) |
| 6.0ms | y | @ | 0 | (- (- 1 y) (log (+ 1 (neg x)))) |
| 1.0ms | x | @ | 0 | (- 1 (log (- 1 (+ (* x (/ y (+ (* y x) (neg x)))) (/ x (- 1 y)))))) |
| 1× | batch-egg-rewrite |
| 5 508× | *-lowering-*.f32 |
| 5 508× | *-lowering-*.f64 |
| 4 230× | /-lowering-/.f32 |
| 4 230× | /-lowering-/.f64 |
| 3 424× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 150 |
| 1 | 228 | 150 |
| 2 | 2227 | 150 |
| 0 | 8981 | 135 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* x (/ y (+ (* y x) (neg x)))) (/ x (- 1 y))) |
(- 1 (+ (* x (/ y (+ (* y x) (neg x)))) (/ x (- 1 y)))) |
(log (- 1 (+ (* x (/ y (+ (* y x) (neg x)))) (/ x (- 1 y))))) |
(- 1 (log (- 1 (+ (* x (/ y (+ (* y x) (neg x)))) (/ x (- 1 y)))))) |
(- 1 (log (+ 1 (neg x)))) |
(log (+ 1 (neg x))) |
(neg x) |
(- (- 1 y) (log (+ 1 (neg x)))) |
(- 1 y) |
(- 1 (log (/ (+ -1 x) y))) |
(log (/ (+ -1 x) y)) |
(/ (+ -1 x) y) |
(+ -1 x) |
(- (+ (* y (+ (* y -1/2) -1)) 1) (log (+ 1 (neg x)))) |
(+ (* y (+ (* y -1/2) -1)) 1) |
(+ (* y -1/2) -1) |
(/ y (+ (* y x) (neg x))) |
| Outputs |
|---|
(+.f64 (/.f64 (*.f64 x y) (-.f64 (*.f64 x y) x)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
(+.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 x y) (-.f64 (*.f64 x y) x))) |
(+.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) (-.f64 (*.f64 x y) x)))) |
(+.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) (-.f64 (*.f64 x y) x))) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
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(*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) (*.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 y y) (*.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))) #s(literal 1 binary64)) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)))))) |
(*.f64 (fma.f64 y (*.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(+.f64 #s(literal -1 binary64) (*.f64 y #s(literal -1/2 binary64))) |
(+.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal -1 binary64)) |
(-.f64 (/.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) (fma.f64 y #s(literal -1/2 binary64) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
(fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) |
(fma.f64 #s(literal -1/2 binary64) y #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (*.f64 y y) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 y #s(literal 1/2 binary64))) (fma.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 1 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/4 binary64) #s(literal -1 binary64)))) |
(/.f64 (fma.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64) #s(literal -1 binary64)) (-.f64 (fma.f64 (*.f64 y y) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 y #s(literal 1/2 binary64)))) |
(/.f64 (fma.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) (*.f64 y #s(literal 1/2 binary64))))) |
(/.f64 (fma.f64 (*.f64 y y) #s(literal 1/4 binary64) #s(literal -1 binary64)) (fma.f64 y #s(literal -1/2 binary64) #s(literal 1 binary64))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64) #s(literal -1 binary64))) (neg.f64 (-.f64 (fma.f64 (*.f64 y y) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 y #s(literal 1/2 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 y y) #s(literal 1/4 binary64) #s(literal -1 binary64))) (neg.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal 1/4 binary64))) (-.f64 #s(literal -1 binary64) (*.f64 y #s(literal -1/2 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) (fma.f64 y #s(literal -1/2 binary64) #s(literal 1 binary64))) (*.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 1 binary64)) (fma.f64 y #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
(pow.f64 (/.f64 (-.f64 (fma.f64 (*.f64 y y) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 y #s(literal 1/2 binary64))) (fma.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64) #s(literal -1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 1 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/4 binary64) #s(literal -1 binary64))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 y y) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 y #s(literal 1/2 binary64))))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/4 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (*.f64 x y) x) y)) #s(literal -1 binary64))) |
(neg.f64 (/.f64 y (neg.f64 (-.f64 (*.f64 x y) x)))) |
(neg.f64 (/.f64 (neg.f64 y) (-.f64 (*.f64 x y) x))) |
(/.f64 y (-.f64 (*.f64 x y) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x y) x) y)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 (*.f64 x y) x) y) #s(literal 1 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (*.f64 x y) x) y))) |
(/.f64 (neg.f64 y) (neg.f64 (-.f64 (*.f64 x y) x))) |
(/.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 (-.f64 (*.f64 x y) x)))) |
(pow.f64 (/.f64 (-.f64 (*.f64 x y) x) y) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (-.f64 (*.f64 x y) x) y) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 y (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x y) x))) |
(*.f64 #s(literal 1 binary64) (/.f64 y (-.f64 (*.f64 x y) x))) |
(*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 x y) x)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x y) x)) y) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x y) x)) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) |
(*.f64 (/.f64 y (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x)))) (fma.f64 x (*.f64 y (*.f64 x y)) (*.f64 (neg.f64 x) (-.f64 (neg.f64 x) (*.f64 x y))))) |
(*.f64 (/.f64 y (*.f64 (-.f64 (*.f64 x y) x) (*.f64 x (-.f64 y #s(literal -1 binary64))))) (*.f64 x (-.f64 y #s(literal -1 binary64)))) |
| 1× | egg-herbie |
| 5 598× | accelerator-lowering-fma.f32 |
| 5 598× | accelerator-lowering-fma.f64 |
| 5 448× | +-lowering-+.f64 |
| 5 448× | +-lowering-+.f32 |
| 2 774× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 656 | 5045 |
| 1 | 2105 | 4150 |
| 2 | 6946 | 4045 |
| 0 | 8108 | 3843 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ y (- y 1)) |
(+ (/ x (- 1 y)) (/ y (- y 1))) |
(+ (/ x (- 1 y)) (/ y (- y 1))) |
(+ (/ x (- 1 y)) (/ y (- y 1))) |
(/ x (- 1 y)) |
(* x (+ (/ 1 (- 1 y)) (/ y (* x (- y 1))))) |
(* x (+ (/ 1 (- 1 y)) (/ y (* x (- y 1))))) |
(* x (+ (/ 1 (- 1 y)) (/ y (* x (- y 1))))) |
(/ x (- 1 y)) |
(* -1 (* x (- (/ y (* x (+ 1 (* -1 y)))) (/ 1 (- 1 y))))) |
(* -1 (* x (- (/ y (* x (+ 1 (* -1 y)))) (/ 1 (- 1 y))))) |
(* -1 (* x (- (/ y (* x (+ 1 (* -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 y) (/ 1 (pow y 2))))) (/ x (pow y 2))) |
(- (+ 1 (+ (* -1 (/ x y)) (+ (/ 1 y) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3)))))) (+ (/ x (pow y 2)) (/ x (pow y 3)))) |
1 |
(+ 1 (* -1 (/ (- x 1) y))) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- 1 x) y))) 1) y))) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (+ 1 (+ (* -1 (/ x y)) (/ 1 y))) x) y))) 1) y))) |
(- 1 (/ y (- y 1))) |
(- (+ 1 (* -1 (/ x (- 1 y)))) (/ y (- y 1))) |
(- (+ 1 (* -1 (/ x (- 1 y)))) (/ y (- y 1))) |
(- (+ 1 (* -1 (/ x (- 1 y)))) (/ y (- y 1))) |
(* -1 (/ x (- 1 y))) |
(* x (- (/ 1 x) (+ (/ 1 (- 1 y)) (/ y (* x (- y 1)))))) |
(* x (- (/ 1 x) (+ (/ 1 (- 1 y)) (/ y (* x (- y 1)))))) |
(* x (- (/ 1 x) (+ (/ 1 (- 1 y)) (/ y (* x (- y 1)))))) |
(* -1 (/ x (- 1 y))) |
(* -1 (* x (+ (* -1 (/ (- 1 (* -1 (/ y (+ 1 (* -1 y))))) x)) (/ 1 (- 1 y))))) |
(* -1 (* x (+ (* -1 (/ (- 1 (* -1 (/ y (+ 1 (* -1 y))))) x)) (/ 1 (- 1 y))))) |
(* -1 (* x (+ (* -1 (/ (- 1 (* -1 (/ y (+ 1 (* -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)) |
(log (- 1 (/ y (- y 1)))) |
(+ (log (- 1 (/ y (- y 1)))) (* -1 (/ x (* (- 1 y) (- 1 (/ y (- y 1))))))) |
(+ (log (- 1 (/ y (- y 1)))) (* x (- (* -1/2 (/ x (* (pow (- 1 y) 2) (pow (- 1 (/ y (- y 1))) 2)))) (/ 1 (* (- 1 y) (- 1 (/ y (- y 1)))))))) |
(+ (log (- 1 (/ y (- y 1)))) (* x (- (* x (- (* -1/3 (/ x (* (pow (- 1 y) 3) (pow (- 1 (/ y (- y 1))) 3)))) (* 1/2 (/ 1 (* (pow (- 1 y) 2) (pow (- 1 (/ y (- y 1))) 2)))))) (/ 1 (* (- 1 y) (- 1 (/ y (- y 1)))))))) |
(+ (log (neg (/ 1 (- 1 y)))) (* -1 (log (/ 1 x)))) |
(+ (log (neg (/ 1 (- 1 y)))) (+ (* -1 (log (/ 1 x))) (* -1 (/ (* (- 1 y) (- 1 (/ y (- y 1)))) x)))) |
(+ (log (neg (/ 1 (- 1 y)))) (+ (* -1 (log (/ 1 x))) (+ (* -1 (/ (* (- 1 y) (- 1 (/ y (- y 1)))) x)) (* -1/2 (/ (* (pow (- 1 y) 2) (pow (- 1 (/ y (- y 1))) 2)) (pow x 2)))))) |
(+ (log (neg (/ 1 (- 1 y)))) (+ (* -1 (log (/ 1 x))) (+ (* -1 (/ (* (- 1 y) (- 1 (/ y (- y 1)))) x)) (+ (* -1/2 (/ (* (pow (- 1 y) 2) (pow (- 1 (/ y (- y 1))) 2)) (pow x 2))) (* -1/3 (/ (* (pow (- 1 y) 3) (pow (- 1 (/ y (- y 1))) 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 (* -1 y)))))) x)))) |
(+ (log (/ 1 (- 1 y))) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* 1/2 (/ (* (pow (- 1 y) 2) (pow (- 1 (* -1 (/ y (+ 1 (* -1 y))))) 2)) x)) (* (- 1 y) (- 1 (* -1 (/ y (+ 1 (* -1 y))))))) x)))) |
(+ (log (/ 1 (- 1 y))) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow (- 1 y) 2) (pow (- 1 (* -1 (/ y (+ 1 (* -1 y))))) 2))) (* -1/3 (/ (* (pow (- 1 y) 3) (pow (- 1 (* -1 (/ y (+ 1 (* -1 y))))) 3)) x))) x)) (* (- 1 y) (- 1 (* -1 (/ y (+ 1 (* -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 (- y 1))))) |
(- (+ 1 (/ x (* (- 1 y) (- 1 (/ y (- y 1)))))) (log (- 1 (/ y (- y 1))))) |
(- (+ 1 (* x (+ (* 1/2 (/ x (* (pow (- 1 y) 2) (pow (- 1 (/ y (- y 1))) 2)))) (/ 1 (* (- 1 y) (- 1 (/ y (- y 1)))))))) (log (- 1 (/ y (- y 1))))) |
(- (+ 1 (* x (+ (* x (+ (* 1/3 (/ x (* (pow (- 1 y) 3) (pow (- 1 (/ y (- y 1))) 3)))) (* 1/2 (/ 1 (* (pow (- 1 y) 2) (pow (- 1 (/ y (- y 1))) 2)))))) (/ 1 (* (- 1 y) (- 1 (/ y (- y 1)))))))) (log (- 1 (/ y (- y 1))))) |
(- 1 (+ (log (neg (/ 1 (- 1 y)))) (* -1 (log (/ 1 x))))) |
(- (+ 1 (/ (* (- 1 y) (- 1 (/ y (- y 1)))) x)) (+ (log (neg (/ 1 (- 1 y)))) (* -1 (log (/ 1 x))))) |
(- (+ 1 (* 1/2 (/ (* (pow (- 1 y) 2) (pow (- 1 (/ y (- y 1))) 2)) (pow x 2)))) (+ (log (neg (/ 1 (- 1 y)))) (+ (* -1 (log (/ 1 x))) (* -1 (/ (* (- 1 y) (- 1 (/ y (- y 1)))) x))))) |
(- (+ 1 (* 1/3 (/ (* (pow (- 1 y) 3) (pow (- 1 (/ y (- y 1))) 3)) (pow x 3)))) (+ (log (neg (/ 1 (- 1 y)))) (+ (* -1 (log (/ 1 x))) (+ (* -1 (/ (* (- 1 y) (- 1 (/ y (- y 1)))) x)) (* -1/2 (/ (* (pow (- 1 y) 2) (pow (- 1 (/ y (- y 1))) 2)) (pow x 2))))))) |
(- 1 (+ (log (/ 1 (- 1 y))) (* -1 (log (/ -1 x))))) |
(- (+ 1 (/ (* (- 1 y) (- 1 (* -1 (/ y (+ 1 (* -1 y)))))) x)) (+ (log (/ 1 (- 1 y))) (* -1 (log (/ -1 x))))) |
(- (+ 1 (* -1 (/ (- (* -1/2 (/ (* (pow (- 1 y) 2) (pow (- 1 (* -1 (/ y (+ 1 (* -1 y))))) 2)) x)) (* (- 1 y) (- 1 (* -1 (/ y (+ 1 (* -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 (* -1 y))))) 3)) x)) (* -1/2 (* (pow (- 1 y) 2) (pow (- 1 (* -1 (/ y (+ 1 (* -1 y))))) 2)))) x)) (* (- 1 y) (- 1 (* -1 (/ y (+ 1 (* -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 |
(+ 1 x) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/3 x)))))) |
(- 1 (+ (log -1) (* -1 (log (/ 1 x))))) |
(- (+ 1 (/ 1 x)) (+ (log -1) (* -1 (log (/ 1 x))))) |
(- (+ 1 (+ (/ 1/2 (pow x 2)) (/ 1 x))) (+ (log -1) (* -1 (log (/ 1 x))))) |
(- (+ 1 (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3)))))) (+ (log -1) (* -1 (log (/ 1 x))))) |
(- 1 (* -1 (log (/ -1 x)))) |
(- (+ 1 (/ 1 x)) (* -1 (log (/ -1 x)))) |
(- (+ 1 (+ (/ 1/2 (pow x 2)) (/ 1 x))) (* -1 (log (/ -1 x)))) |
(- (+ 1 (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x))) (* -1 (log (/ -1 x)))) |
(* -1 x) |
(* x (- (* -1/2 x) 1)) |
(* x (- (* x (- (* -1/3 x) 1/2)) 1)) |
(* x (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1)) |
(+ (log -1) (* -1 (log (/ 1 x)))) |
(- (+ (log -1) (* -1 (log (/ 1 x)))) (/ 1 x)) |
(+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x)))) |
(- (+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) (pow x 2))))) (/ 1 x)) |
(* -1 (log (/ -1 x))) |
(- (* -1 (log (/ -1 x))) (/ 1 x)) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) x))) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(- 1 (log (- 1 x))) |
(- (+ 1 (* -1 y)) (log (- 1 x))) |
(- (+ 1 (* -1 y)) (log (- 1 x))) |
(- (+ 1 (* -1 y)) (log (- 1 x))) |
(* -1 y) |
(* y (- (/ 1 y) (+ 1 (/ (log (- 1 x)) y)))) |
(* y (- (/ 1 y) (+ 1 (/ (log (- 1 x)) y)))) |
(* y (- (/ 1 y) (+ 1 (/ (log (- 1 x)) y)))) |
(* -1 y) |
(* -1 (* y (+ 1 (* -1 (/ (- 1 (log (- 1 x))) y))))) |
(* -1 (* y (+ 1 (* -1 (/ (- 1 (log (- 1 x))) y))))) |
(* -1 (* y (+ 1 (* -1 (/ (- 1 (log (- 1 x))) y))))) |
(- 1 y) |
(- (+ 1 x) y) |
(- (+ 1 (* x (+ 1 (* 1/2 x)))) y) |
(- (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/3 x)))))) y) |
(- 1 (+ y (+ (log -1) (* -1 (log (/ 1 x)))))) |
(- (+ 1 (/ 1 x)) (+ y (+ (log -1) (* -1 (log (/ 1 x)))))) |
(- (+ 1 (+ (/ 1/2 (pow x 2)) (/ 1 x))) (+ y (+ (log -1) (* -1 (log (/ 1 x)))))) |
(- (+ 1 (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3)))))) (+ y (+ (log -1) (* -1 (log (/ 1 x)))))) |
(- 1 (+ y (* -1 (log (/ -1 x))))) |
(- (+ 1 (/ 1 x)) (+ y (* -1 (log (/ -1 x))))) |
(- (+ 1 (+ (/ 1/2 (pow x 2)) (/ 1 x))) (+ y (* -1 (log (/ -1 x))))) |
(- (+ 1 (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x))) (+ y (* -1 (log (/ -1 x))))) |
1 |
(+ 1 (* -1 y)) |
(+ 1 (* -1 y)) |
(+ 1 (* -1 y)) |
(* -1 y) |
(* y (- (/ 1 y) 1)) |
(* y (- (/ 1 y) 1)) |
(* y (- (/ 1 y) 1)) |
(* -1 y) |
(* -1 (* y (- 1 (/ 1 y)))) |
(* -1 (* y (- 1 (/ 1 y)))) |
(* -1 (* y (- 1 (/ 1 y)))) |
(- 1 (log (/ -1 y))) |
(- (+ 1 x) (log (/ -1 y))) |
(- (+ 1 (* x (+ 1 (* 1/2 x)))) (log (/ -1 y))) |
(- (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/3 x)))))) (log (/ -1 y))) |
(- 1 (+ (log (/ 1 y)) (* -1 (log (/ 1 x))))) |
(- (+ 1 (/ 1 x)) (+ (log (/ 1 y)) (* -1 (log (/ 1 x))))) |
(- (+ 1 (+ (/ 1/2 (pow x 2)) (/ 1 x))) (+ (log (/ 1 y)) (* -1 (log (/ 1 x))))) |
(- (+ 1 (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3)))))) (+ (log (/ 1 y)) (* -1 (log (/ 1 x))))) |
(- 1 (+ (log (/ -1 y)) (* -1 (log (/ -1 x))))) |
(- (+ 1 (/ 1 x)) (+ (log (/ -1 y)) (* -1 (log (/ -1 x))))) |
(- (+ 1 (+ (/ 1/2 (pow x 2)) (/ 1 x))) (+ (log (/ -1 y)) (* -1 (log (/ -1 x))))) |
(- (+ 1 (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x))) (+ (log (/ -1 y)) (* -1 (log (/ -1 x))))) |
(- 1 (+ (log (- x 1)) (* -1 (log y)))) |
(- 1 (+ (log (- x 1)) (* -1 (log y)))) |
(- 1 (+ (log (- x 1)) (* -1 (log y)))) |
(- 1 (+ (log (- x 1)) (* -1 (log y)))) |
(- 1 (+ (log (- x 1)) (log (/ 1 y)))) |
(- 1 (+ (log (- x 1)) (log (/ 1 y)))) |
(- 1 (+ (log (- x 1)) (log (/ 1 y)))) |
(- 1 (+ (log (- x 1)) (log (/ 1 y)))) |
(- 1 (+ (log (* -1 (- x 1))) (log (/ -1 y)))) |
(- 1 (+ (log (* -1 (- x 1))) (log (/ -1 y)))) |
(- 1 (+ (log (* -1 (- x 1))) (log (/ -1 y)))) |
(- 1 (+ (log (* -1 (- x 1))) (log (/ -1 y)))) |
(log (/ -1 y)) |
(+ (log (/ -1 y)) (* -1 x)) |
(+ (log (/ -1 y)) (* x (- (* -1/2 x) 1))) |
(+ (log (/ -1 y)) (* x (- (* x (- (* -1/3 x) 1/2)) 1))) |
(+ (log (/ 1 y)) (* -1 (log (/ 1 x)))) |
(- (+ (log (/ 1 y)) (* -1 (log (/ 1 x)))) (/ 1 x)) |
(+ (log (/ 1 y)) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x)))) |
(- (+ (log (/ 1 y)) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) (pow x 2))))) (/ 1 x)) |
(+ (log (/ -1 y)) (* -1 (log (/ -1 x)))) |
(- (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))) (/ 1 x)) |
(+ (log (/ -1 y)) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x)))) |
(+ (log (/ -1 y)) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) x)))) |
(+ (log (- x 1)) (* -1 (log y))) |
(+ (log (- x 1)) (* -1 (log y))) |
(+ (log (- x 1)) (* -1 (log y))) |
(+ (log (- x 1)) (* -1 (log y))) |
(+ (log (- x 1)) (log (/ 1 y))) |
(+ (log (- x 1)) (log (/ 1 y))) |
(+ (log (- x 1)) (log (/ 1 y))) |
(+ (log (- x 1)) (log (/ 1 y))) |
(+ (log (* -1 (- x 1))) (log (/ -1 y))) |
(+ (log (* -1 (- x 1))) (log (/ -1 y))) |
(+ (log (* -1 (- x 1))) (log (/ -1 y))) |
(+ (log (* -1 (- x 1))) (log (/ -1 y))) |
(/ -1 y) |
(- (/ x y) (/ 1 y)) |
(- (/ x y) (/ 1 y)) |
(- (/ x y) (/ 1 y)) |
(/ x y) |
(* x (- (/ 1 y) (/ 1 (* x y)))) |
(* x (- (/ 1 y) (/ 1 (* x y)))) |
(* x (- (/ 1 y) (/ 1 (* x y)))) |
(/ x y) |
(* -1 (* x (- (/ 1 (* x y)) (/ 1 y)))) |
(* -1 (* x (- (/ 1 (* x y)) (/ 1 y)))) |
(* -1 (* x (- (/ 1 (* x y)) (/ 1 y)))) |
(/ (- x 1) y) |
(/ (- x 1) y) |
(/ (- x 1) y) |
(/ (- x 1) y) |
(/ (- x 1) y) |
(/ (- x 1) y) |
(/ (- x 1) y) |
(/ (- x 1) y) |
(/ (- x 1) y) |
(/ (- x 1) y) |
(/ (- x 1) y) |
(/ (- x 1) y) |
-1 |
(- x 1) |
(- x 1) |
(- x 1) |
x |
(* x (- 1 (/ 1 x))) |
(* x (- 1 (/ 1 x))) |
(* x (- 1 (/ 1 x))) |
x |
(* -1 (* x (- (/ 1 x) 1))) |
(* -1 (* x (- (/ 1 x) 1))) |
(* -1 (* x (- (/ 1 x) 1))) |
(- 1 (log (- 1 x))) |
(- (+ 1 (* -1 y)) (log (- 1 x))) |
(- (+ 1 (* y (- (* -1/2 y) 1))) (log (- 1 x))) |
(- (+ 1 (* y (- (* -1/2 y) 1))) (log (- 1 x))) |
(* -1/2 (pow y 2)) |
(* -1 (* (pow y 2) (+ 1/2 (/ 1 y)))) |
(* (pow y 2) (- (/ 1 (pow y 2)) (+ 1/2 (+ (/ 1 y) (/ (log (- 1 x)) (pow y 2)))))) |
(* (pow y 2) (- (/ 1 (pow y 2)) (+ 1/2 (+ (/ 1 y) (/ (log (- 1 x)) (pow y 2)))))) |
(* -1/2 (pow y 2)) |
(* -1 (* (pow y 2) (+ 1/2 (/ 1 y)))) |
(* (pow y 2) (- (* -1 (/ (+ 1 (* -1 (/ (- 1 (log (- 1 x))) y))) y)) 1/2)) |
(* (pow y 2) (- (* -1 (/ (+ 1 (* -1 (/ (- 1 (log (- 1 x))) y))) y)) 1/2)) |
(+ 1 (* y (- (* -1/2 y) 1))) |
(+ 1 (+ x (* y (- (* -1/2 y) 1)))) |
(+ 1 (+ (* x (+ 1 (* 1/2 x))) (* y (- (* -1/2 y) 1)))) |
(+ 1 (+ (* x (+ 1 (* x (+ 1/2 (* 1/3 x))))) (* y (- (* -1/2 y) 1)))) |
(- (+ 1 (* y (- (* -1/2 y) 1))) (+ (log -1) (* -1 (log (/ 1 x))))) |
(- (+ 1 (+ (* y (- (* -1/2 y) 1)) (/ 1 x))) (+ (log -1) (* -1 (log (/ 1 x))))) |
(- (+ 1 (+ (* y (- (* -1/2 y) 1)) (+ (/ 1/2 (pow x 2)) (/ 1 x)))) (+ (log -1) (* -1 (log (/ 1 x))))) |
(- (+ 1 (+ (* y (- (* -1/2 y) 1)) (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))))) (+ (log -1) (* -1 (log (/ 1 x))))) |
(- (+ 1 (* y (- (* -1/2 y) 1))) (* -1 (log (/ -1 x)))) |
(- (+ 1 (+ (* y (- (* -1/2 y) 1)) (/ 1 x))) (* -1 (log (/ -1 x)))) |
(- (+ 1 (+ (* y (- (* -1/2 y) 1)) (+ (/ 1/2 (pow x 2)) (/ 1 x)))) (* -1 (log (/ -1 x)))) |
(- (+ 1 (+ (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x)) (* y (- (* -1/2 y) 1)))) (* -1 (log (/ -1 x)))) |
1 |
(+ 1 (* -1 y)) |
(+ 1 (* y (- (* -1/2 y) 1))) |
(+ 1 (* y (- (* -1/2 y) 1))) |
(* -1/2 (pow y 2)) |
(* -1 (* (pow y 2) (+ 1/2 (/ 1 y)))) |
(* (pow y 2) (- (/ 1 (pow y 2)) (+ 1/2 (/ 1 y)))) |
(* (pow y 2) (- (/ 1 (pow y 2)) (+ 1/2 (/ 1 y)))) |
(* -1/2 (pow y 2)) |
(* -1 (* (pow y 2) (+ 1/2 (/ 1 y)))) |
(* (pow y 2) (- (* -1 (/ (- 1 (/ 1 y)) y)) 1/2)) |
(* (pow y 2) (- (* -1 (/ (- 1 (/ 1 y)) y)) 1/2)) |
-1 |
(- (* -1/2 y) 1) |
(- (* -1/2 y) 1) |
(- (* -1/2 y) 1) |
(* -1/2 y) |
(* -1 (* y (+ 1/2 (/ 1 y)))) |
(* -1 (* y (+ 1/2 (/ 1 y)))) |
(* -1 (* y (+ 1/2 (/ 1 y)))) |
(* -1/2 y) |
(* -1 (* y (+ 1/2 (/ 1 y)))) |
(* -1 (* y (+ 1/2 (/ 1 y)))) |
(* -1 (* y (+ 1/2 (/ 1 y)))) |
(* -1 (/ y x)) |
(* y (- (* -1 (/ y x)) (/ 1 x))) |
(* y (- (* y (- (* -1 (/ y x)) (/ 1 x))) (/ 1 x))) |
(* y (- (* y (- (* y (- (* -1 (/ y x)) (/ 1 x))) (/ 1 x))) (/ 1 x))) |
(/ 1 x) |
(+ (/ 1 x) (/ 1 (* x y))) |
(+ (/ 1 x) (+ (/ 1 (* x y)) (/ 1 (* x (pow y 2))))) |
(+ (/ 1 x) (+ (/ 1 (* x y)) (+ (/ 1 (* x (pow y 2))) (/ 1 (* x (pow y 3)))))) |
(/ 1 x) |
(+ (/ 1 x) (/ 1 (* x y))) |
(+ (/ 1 x) (+ (/ 1 (* x y)) (/ 1 (* x (pow y 2))))) |
(+ (* -1 (/ (- (* -1 (/ (+ (/ 1 x) (/ 1 (* x y))) y)) (/ 1 x)) y)) (/ 1 x)) |
(/ y (* x (- y 1))) |
(/ y (* x (- y 1))) |
(/ y (* x (- y 1))) |
(/ y (* x (- y 1))) |
(/ y (* x (- y 1))) |
(/ y (* x (- y 1))) |
(/ y (* x (- y 1))) |
(/ y (* x (- y 1))) |
(* -1 (/ y (* x (+ 1 (* -1 y))))) |
(* -1 (/ y (* x (+ 1 (* -1 y))))) |
(* -1 (/ y (* x (+ 1 (* -1 y))))) |
(* -1 (/ y (* x (+ 1 (* -1 y))))) |
| Outputs |
|---|
(/ y (- y 1)) |
(/.f64 y (+.f64 y #s(literal -1 binary64))) |
(+ (/ x (- 1 y)) (/ y (- y 1))) |
(+.f64 (/.f64 y (+.f64 y #s(literal -1 binary64))) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
(+ (/ x (- 1 y)) (/ y (- y 1))) |
(+.f64 (/.f64 y (+.f64 y #s(literal -1 binary64))) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
(+ (/ x (- 1 y)) (/ y (- y 1))) |
(+.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 (- 1 y)) (/ y (* x (- y 1))))) |
(fma.f64 x (/.f64 y (-.f64 (*.f64 y x) x)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
(* x (+ (/ 1 (- 1 y)) (/ y (* x (- y 1))))) |
(fma.f64 x (/.f64 y (-.f64 (*.f64 y x) x)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
(* x (+ (/ 1 (- 1 y)) (/ y (* x (- y 1))))) |
(fma.f64 x (/.f64 y (-.f64 (*.f64 y x) x)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
(/ x (- 1 y)) |
(/.f64 x (-.f64 #s(literal 1 binary64) y)) |
(* -1 (* x (- (/ y (* x (+ 1 (* -1 y)))) (/ 1 (- 1 y))))) |
(*.f64 (+.f64 (/.f64 y (-.f64 x (*.f64 y x))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y))) (neg.f64 x)) |
(* -1 (* x (- (/ y (* x (+ 1 (* -1 y)))) (/ 1 (- 1 y))))) |
(*.f64 (+.f64 (/.f64 y (-.f64 x (*.f64 y x))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y))) (neg.f64 x)) |
(* -1 (* x (- (/ y (* x (+ 1 (* -1 y)))) (/ 1 (- 1 y))))) |
(*.f64 (+.f64 (/.f64 y (-.f64 x (*.f64 y x))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y))) (neg.f64 x)) |
x |
(+ x (* -1 (* y (+ 1 (* -1 x))))) |
(fma.f64 y (+.f64 x #s(literal -1 binary64)) x) |
(+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
(fma.f64 y (fma.f64 y (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))) x) |
(+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
(fma.f64 y (fma.f64 y (fma.f64 y (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64))) 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 y) (/ 1 (pow y 2))))) (/ x (pow y 2))) |
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) (-.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y y)))) |
(- (+ 1 (+ (* -1 (/ x y)) (+ (/ 1 y) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3)))))) (+ (/ x (pow y 2)) (/ x (pow y 3)))) |
(-.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (/.f64 x (*.f64 y (*.f64 y y)))) (/.f64 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 y)) (/ 1 y))) x) y))) 1) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (+.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 x #s(literal -1 binary64)) y)) y) (+.f64 x #s(literal -1 binary64))) y)) |
(- 1 (/ y (- y 1))) |
(-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal -1 binary64)))) |
(- (+ 1 (* -1 (/ x (- 1 y)))) (/ y (- y 1))) |
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) y))) (/.f64 y (+.f64 y #s(literal -1 binary64)))) |
(- (+ 1 (* -1 (/ x (- 1 y)))) (/ y (- y 1))) |
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) y))) (/.f64 y (+.f64 y #s(literal -1 binary64)))) |
(- (+ 1 (* -1 (/ x (- 1 y)))) (/ y (- y 1))) |
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) y))) (/.f64 y (+.f64 y #s(literal -1 binary64)))) |
(* -1 (/ x (- 1 y))) |
(/.f64 x (-.f64 #s(literal -1 binary64) (neg.f64 y))) |
(* x (- (/ 1 x) (+ (/ 1 (- 1 y)) (/ y (* x (- y 1)))))) |
(*.f64 x (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal -1 binary64)))) x) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)))) |
(* x (- (/ 1 x) (+ (/ 1 (- 1 y)) (/ y (* x (- y 1)))))) |
(*.f64 x (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal -1 binary64)))) x) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)))) |
(* x (- (/ 1 x) (+ (/ 1 (- 1 y)) (/ y (* x (- y 1)))))) |
(*.f64 x (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal -1 binary64)))) x) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)))) |
(* -1 (/ x (- 1 y))) |
(/.f64 x (-.f64 #s(literal -1 binary64) (neg.f64 y))) |
(* -1 (* x (+ (* -1 (/ (- 1 (* -1 (/ y (+ 1 (* -1 y))))) x)) (/ 1 (- 1 y))))) |
(neg.f64 (fma.f64 x (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y))) x) (/.f64 x (-.f64 #s(literal 1 binary64) y)))) |
(* -1 (* x (+ (* -1 (/ (- 1 (* -1 (/ y (+ 1 (* -1 y))))) x)) (/ 1 (- 1 y))))) |
(neg.f64 (fma.f64 x (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y))) x) (/.f64 x (-.f64 #s(literal 1 binary64) y)))) |
(* -1 (* x (+ (* -1 (/ (- 1 (* -1 (/ y (+ 1 (* -1 y))))) x)) (/ 1 (- 1 y))))) |
(neg.f64 (fma.f64 x (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y))) x) (/.f64 x (-.f64 #s(literal 1 binary64) y)))) |
(- 1 x) |
(-.f64 #s(literal 1 binary64) x) |
(- (+ 1 (* y (+ 1 (* -1 x)))) x) |
(*.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) |
(- (+ 1 (* y (+ 1 (+ (* -1 x) (* y (+ 1 (* -1 x))))))) x) |
(-.f64 (fma.f64 y (*.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) x) |
(- (+ 1 (* y (+ 1 (+ (* -1 x) (* y (+ 1 (+ (* -1 x) (* y (+ 1 (* -1 x)))))))))) x) |
(fma.f64 y (-.f64 (fma.f64 y (*.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) x) (-.f64 #s(literal 1 binary64) x)) |
(* -1 (/ (+ 1 (* -1 x)) y)) |
(/.f64 (+.f64 x #s(literal -1 binary64)) y) |
(/ (- (/ x y) (+ 1 (+ (* -1 x) (/ 1 y)))) y) |
(/.f64 (+.f64 (/.f64 x y) (-.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) y) x))) y) |
(/ (- (+ (/ x y) (/ x (pow y 2))) (+ 1 (+ (* -1 x) (+ (/ 1 y) (/ 1 (pow y 2)))))) y) |
(/.f64 (+.f64 (/.f64 x y) (-.f64 (/.f64 x (*.f64 y y)) (+.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 y y)))))) 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 x (*.f64 y y)) (/.f64 x (*.f64 y (*.f64 y y)))) (+.f64 (/.f64 x y) (-.f64 #s(literal -1 binary64) (+.f64 (+.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))) x))))) y) |
(* -1 (/ (- 1 x) y)) |
(/.f64 (+.f64 x #s(literal -1 binary64)) y) |
(* -1 (/ (- (+ 1 (* -1 (/ (- x 1) y))) x) y)) |
(/.f64 (+.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 x #s(literal -1 binary64)) y)) y) |
(* -1 (/ (- (+ 1 (* -1 (/ (- (+ x (* -1 (/ (+ 1 (* -1 x)) y))) 1) y))) x) y)) |
(/.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)) (neg.f64 y)) |
(* -1 (/ (- (+ 1 (* -1 (/ (- (+ x (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- x 1) y)))) y))) 1) y))) x) y)) |
(/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (+.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 x #s(literal -1 binary64)) y)) y) (+.f64 x #s(literal -1 binary64))) y)) x) (neg.f64 y)) |
(log (- 1 (/ y (- y 1)))) |
(log1p.f64 (neg.f64 (/.f64 y (+.f64 y #s(literal -1 binary64))))) |
(+ (log (- 1 (/ y (- y 1)))) (* -1 (/ x (* (- 1 y) (- 1 (/ y (- y 1))))))) |
(-.f64 (log1p.f64 (neg.f64 (/.f64 y (+.f64 y #s(literal -1 binary64))))) (/.f64 x (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal -1 binary64))))))) |
(+ (log (- 1 (/ y (- y 1)))) (* x (- (* -1/2 (/ x (* (pow (- 1 y) 2) (pow (- 1 (/ y (- y 1))) 2)))) (/ 1 (* (- 1 y) (- 1 (/ y (- y 1)))))))) |
(fma.f64 x (fma.f64 x (/.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal -1 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal -1 binary64)))) (*.f64 (-.f64 #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 y #s(literal -1 binary64))))))) (log1p.f64 (neg.f64 (/.f64 y (+.f64 y #s(literal -1 binary64)))))) |
(+ (log (- 1 (/ y (- y 1)))) (* x (- (* x (- (* -1/3 (/ x (* (pow (- 1 y) 3) (pow (- 1 (/ y (- y 1))) 3)))) (* 1/2 (/ 1 (* (pow (- 1 y) 2) (pow (- 1 (/ y (- y 1))) 2)))))) (/ 1 (* (- 1 y) (- 1 (/ y (- y 1)))))))) |
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(+ (log (/ -1 y)) (* x (- (* -1/2 x) 1))) |
(fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 y)))) |
(+ (log (/ -1 y)) (* x (- (* x (- (* -1/3 x) 1/2)) 1))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 y)))) |
(+ (log (/ 1 y)) (* -1 (log (/ 1 x)))) |
(-.f64 (log.f64 x) (log.f64 y)) |
(- (+ (log (/ 1 y)) (* -1 (log (/ 1 x)))) (/ 1 x)) |
(+.f64 (-.f64 (log.f64 x) (log.f64 y)) (/.f64 #s(literal -1 binary64) x)) |
(+ (log (/ 1 y)) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x)))) |
(-.f64 (-.f64 (log.f64 x) (log.f64 y)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)) |
(- (+ (log (/ 1 y)) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) (pow x 2))))) (/ 1 x)) |
(+.f64 (-.f64 (log.f64 x) (log.f64 y)) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x)) |
(+ (log (/ -1 y)) (* -1 (log (/ -1 x)))) |
(-.f64 (neg.f64 (log.f64 (neg.f64 y))) (neg.f64 (log.f64 (neg.f64 x)))) |
(- (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))) (/ 1 x)) |
(+.f64 (neg.f64 (log.f64 (neg.f64 y))) (-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (log.f64 (neg.f64 x))))) |
(+ (log (/ -1 y)) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x)))) |
(-.f64 (neg.f64 (log.f64 (neg.f64 y))) (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x) (neg.f64 (log.f64 (neg.f64 x))))) |
(+ (log (/ -1 y)) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) x)))) |
(-.f64 (neg.f64 (log.f64 (neg.f64 y))) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))) x) (neg.f64 (log.f64 (neg.f64 x))))) |
(+ (log (- x 1)) (* -1 (log y))) |
(-.f64 (log.f64 (+.f64 x #s(literal -1 binary64))) (log.f64 y)) |
(+ (log (- x 1)) (* -1 (log y))) |
(-.f64 (log.f64 (+.f64 x #s(literal -1 binary64))) (log.f64 y)) |
(+ (log (- x 1)) (* -1 (log y))) |
(-.f64 (log.f64 (+.f64 x #s(literal -1 binary64))) (log.f64 y)) |
(+ (log (- x 1)) (* -1 (log y))) |
(-.f64 (log.f64 (+.f64 x #s(literal -1 binary64))) (log.f64 y)) |
(+ (log (- x 1)) (log (/ 1 y))) |
(-.f64 (log.f64 (+.f64 x #s(literal -1 binary64))) (log.f64 y)) |
(+ (log (- x 1)) (log (/ 1 y))) |
(-.f64 (log.f64 (+.f64 x #s(literal -1 binary64))) (log.f64 y)) |
(+ (log (- x 1)) (log (/ 1 y))) |
(-.f64 (log.f64 (+.f64 x #s(literal -1 binary64))) (log.f64 y)) |
(+ (log (- x 1)) (log (/ 1 y))) |
(-.f64 (log.f64 (+.f64 x #s(literal -1 binary64))) (log.f64 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))) |
(+.f64 (log1p.f64 (neg.f64 x)) (neg.f64 (log.f64 (neg.f64 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))) |
(+.f64 (log1p.f64 (neg.f64 x)) (neg.f64 (log.f64 (neg.f64 y)))) |
(/ -1 y) |
(/.f64 #s(literal -1 binary64) y) |
(- (/ x y) (/ 1 y)) |
(/.f64 (+.f64 x #s(literal -1 binary64)) y) |
(- (/ x y) (/ 1 y)) |
(/.f64 (+.f64 x #s(literal -1 binary64)) y) |
(- (/ x y) (/ 1 y)) |
(/.f64 (+.f64 x #s(literal -1 binary64)) y) |
(/ x y) |
(/.f64 x y) |
(* x (- (/ 1 y) (/ 1 (* x y)))) |
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) (*.f64 y x)))) |
(* x (- (/ 1 y) (/ 1 (* x y)))) |
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) (*.f64 y x)))) |
(* x (- (/ 1 y) (/ 1 (* x y)))) |
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) (*.f64 y x)))) |
(/ x y) |
(/.f64 x y) |
(* -1 (* x (- (/ 1 (* x y)) (/ 1 y)))) |
(neg.f64 (-.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y x))) (/.f64 x y))) |
(* -1 (* x (- (/ 1 (* x y)) (/ 1 y)))) |
(neg.f64 (-.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y x))) (/.f64 x y))) |
(* -1 (* x (- (/ 1 (* x y)) (/ 1 y)))) |
(neg.f64 (-.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y x))) (/.f64 x y))) |
(/ (- x 1) y) |
(/.f64 (+.f64 x #s(literal -1 binary64)) y) |
(/ (- x 1) y) |
(/.f64 (+.f64 x #s(literal -1 binary64)) y) |
(/ (- x 1) y) |
(/.f64 (+.f64 x #s(literal -1 binary64)) y) |
(/ (- x 1) y) |
(/.f64 (+.f64 x #s(literal -1 binary64)) y) |
(/ (- x 1) y) |
(/.f64 (+.f64 x #s(literal -1 binary64)) y) |
(/ (- x 1) y) |
(/.f64 (+.f64 x #s(literal -1 binary64)) y) |
(/ (- x 1) y) |
(/.f64 (+.f64 x #s(literal -1 binary64)) y) |
(/ (- x 1) y) |
(/.f64 (+.f64 x #s(literal -1 binary64)) y) |
(/ (- x 1) y) |
(/.f64 (+.f64 x #s(literal -1 binary64)) y) |
(/ (- x 1) y) |
(/.f64 (+.f64 x #s(literal -1 binary64)) y) |
(/ (- x 1) y) |
(/.f64 (+.f64 x #s(literal -1 binary64)) y) |
(/ (- x 1) y) |
(/.f64 (+.f64 x #s(literal -1 binary64)) y) |
-1 |
#s(literal -1 binary64) |
(- x 1) |
(+.f64 x #s(literal -1 binary64)) |
(- x 1) |
(+.f64 x #s(literal -1 binary64)) |
(- x 1) |
(+.f64 x #s(literal -1 binary64)) |
x |
(* x (- 1 (/ 1 x))) |
(+.f64 x (*.f64 x (/.f64 #s(literal -1 binary64) x))) |
(* x (- 1 (/ 1 x))) |
(+.f64 x (*.f64 x (/.f64 #s(literal -1 binary64) x))) |
(* x (- 1 (/ 1 x))) |
(+.f64 x (*.f64 x (/.f64 #s(literal -1 binary64) x))) |
x |
(* -1 (* x (- (/ 1 x) 1))) |
(fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) x) x) |
(* -1 (* x (- (/ 1 x) 1))) |
(fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) x) x) |
(* -1 (* x (- (/ 1 x) 1))) |
(fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) x) x) |
(- 1 (log (- 1 x))) |
(-.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x))) |
(- (+ 1 (* -1 y)) (log (- 1 x))) |
(-.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 x))) |
(- (+ 1 (* y (- (* -1/2 y) 1))) (log (- 1 x))) |
(-.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (log1p.f64 (neg.f64 x))) |
(- (+ 1 (* y (- (* -1/2 y) 1))) (log (- 1 x))) |
(-.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (log1p.f64 (neg.f64 x))) |
(* -1/2 (pow y 2)) |
(*.f64 y (*.f64 y #s(literal -1/2 binary64))) |
(* -1 (* (pow y 2) (+ 1/2 (/ 1 y)))) |
(neg.f64 (fma.f64 y (*.f64 y #s(literal 1/2 binary64)) y)) |
(* (pow y 2) (- (/ 1 (pow y 2)) (+ 1/2 (+ (/ 1 y) (/ (log (- 1 x)) (pow y 2)))))) |
(*.f64 (*.f64 y y) (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (log1p.f64 (neg.f64 x)) (*.f64 y y)))) #s(literal -1/2 binary64))) |
(* (pow y 2) (- (/ 1 (pow y 2)) (+ 1/2 (+ (/ 1 y) (/ (log (- 1 x)) (pow y 2)))))) |
(*.f64 (*.f64 y y) (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (log1p.f64 (neg.f64 x)) (*.f64 y y)))) #s(literal -1/2 binary64))) |
(* -1/2 (pow y 2)) |
(*.f64 y (*.f64 y #s(literal -1/2 binary64))) |
(* -1 (* (pow y 2) (+ 1/2 (/ 1 y)))) |
(neg.f64 (fma.f64 y (*.f64 y #s(literal 1/2 binary64)) y)) |
(* (pow y 2) (- (* -1 (/ (+ 1 (* -1 (/ (- 1 (log (- 1 x))) y))) y)) 1/2)) |
(*.f64 (*.f64 y y) (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x))) y)) y))) |
(* (pow y 2) (- (* -1 (/ (+ 1 (* -1 (/ (- 1 (log (- 1 x))) y))) y)) 1/2)) |
(*.f64 (*.f64 y y) (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x))) y)) y))) |
(+ 1 (* y (- (* -1/2 y) 1))) |
(fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(+ 1 (+ x (* y (- (* -1/2 y) 1)))) |
(+.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) x)) |
(+ 1 (+ (* x (+ 1 (* 1/2 x))) (* y (- (* -1/2 y) 1)))) |
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(+ 1 (+ (* x (+ 1 (* x (+ 1/2 (* 1/3 x))))) (* y (- (* -1/2 y) 1)))) |
(fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(- (+ 1 (* y (- (* -1/2 y) 1))) (+ (log -1) (* -1 (log (/ 1 x))))) |
(-.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 (log.f64 x) (log.f64 #s(literal -1 binary64)))) |
(- (+ 1 (+ (* y (- (* -1/2 y) 1)) (/ 1 x))) (+ (log -1) (* -1 (log (/ 1 x))))) |
(+.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (log.f64 x) (log.f64 #s(literal -1 binary64))))) |
(- (+ 1 (+ (* y (- (* -1/2 y) 1)) (+ (/ 1/2 (pow x 2)) (/ 1 x)))) (+ (log -1) (* -1 (log (/ 1 x))))) |
(+.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (+.f64 (log.f64 x) (log.f64 #s(literal -1 binary64)))))) |
(- (+ 1 (+ (* y (- (* -1/2 y) 1)) (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))))) (+ (log -1) (* -1 (log (/ 1 x))))) |
(+.f64 #s(literal 1 binary64) (-.f64 (-.f64 (+.f64 (+.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) x)) (log.f64 x)) (log.f64 #s(literal -1 binary64)))) |
(- (+ 1 (* y (- (* -1/2 y) 1))) (* -1 (log (/ -1 x)))) |
(+.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x))))) |
(- (+ 1 (+ (* y (- (* -1/2 y) 1)) (/ 1 x))) (* -1 (log (/ -1 x)))) |
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))))) |
(- (+ 1 (+ (* y (- (* -1/2 y) 1)) (+ (/ 1/2 (pow x 2)) (/ 1 x)))) (* -1 (log (/ -1 x)))) |
(+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) (neg.f64 (log.f64 (neg.f64 x)))) |
(- (+ 1 (+ (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x)) (* y (- (* -1/2 y) 1)))) (* -1 (log (/ -1 x)))) |
(+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x)) (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x))))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 y)) |
(-.f64 #s(literal 1 binary64) y) |
(+ 1 (* y (- (* -1/2 y) 1))) |
(fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(+ 1 (* y (- (* -1/2 y) 1))) |
(fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(* -1/2 (pow y 2)) |
(*.f64 y (*.f64 y #s(literal -1/2 binary64))) |
(* -1 (* (pow y 2) (+ 1/2 (/ 1 y)))) |
(neg.f64 (fma.f64 y (*.f64 y #s(literal 1/2 binary64)) y)) |
(* (pow y 2) (- (/ 1 (pow y 2)) (+ 1/2 (/ 1 y)))) |
(-.f64 (*.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (fma.f64 y (*.f64 y #s(literal 1/2 binary64)) y)) |
(* (pow y 2) (- (/ 1 (pow y 2)) (+ 1/2 (/ 1 y)))) |
(-.f64 (*.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (fma.f64 y (*.f64 y #s(literal 1/2 binary64)) y)) |
(* -1/2 (pow y 2)) |
(*.f64 y (*.f64 y #s(literal -1/2 binary64))) |
(* -1 (* (pow y 2) (+ 1/2 (/ 1 y)))) |
(neg.f64 (fma.f64 y (*.f64 y #s(literal 1/2 binary64)) y)) |
(* (pow y 2) (- (* -1 (/ (- 1 (/ 1 y)) y)) 1/2)) |
(*.f64 (*.f64 y y) (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y))) |
(* (pow y 2) (- (* -1 (/ (- 1 (/ 1 y)) y)) 1/2)) |
(*.f64 (*.f64 y y) (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y))) |
-1 |
#s(literal -1 binary64) |
(- (* -1/2 y) 1) |
(fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) |
(- (* -1/2 y) 1) |
(fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) |
(- (* -1/2 y) 1) |
(fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) |
(* -1/2 y) |
(*.f64 y #s(literal -1/2 binary64)) |
(* -1 (* y (+ 1/2 (/ 1 y)))) |
(neg.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 1 binary64))) |
(* -1 (* y (+ 1/2 (/ 1 y)))) |
(neg.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 1 binary64))) |
(* -1 (* y (+ 1/2 (/ 1 y)))) |
(neg.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 1 binary64))) |
(* -1/2 y) |
(*.f64 y #s(literal -1/2 binary64)) |
(* -1 (* y (+ 1/2 (/ 1 y)))) |
(neg.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 1 binary64))) |
(* -1 (* y (+ 1/2 (/ 1 y)))) |
(neg.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 1 binary64))) |
(* -1 (* y (+ 1/2 (/ 1 y)))) |
(neg.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 1 binary64))) |
(* -1 (/ y x)) |
(/.f64 y (neg.f64 x)) |
(* y (- (* -1 (/ y x)) (/ 1 x))) |
(*.f64 y (-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 y x))) |
(* y (- (* y (- (* -1 (/ y x)) (/ 1 x))) (/ 1 x))) |
(*.f64 y (fma.f64 y (-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 y x)) (/.f64 #s(literal -1 binary64) x))) |
(* y (- (* y (- (* y (- (* -1 (/ y x)) (/ 1 x))) (/ 1 x))) (/ 1 x))) |
(*.f64 y (fma.f64 y (fma.f64 y (-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 y x)) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) x))) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(+ (/ 1 x) (/ 1 (* x y))) |
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 y x))) |
(+ (/ 1 x) (+ (/ 1 (* x y)) (/ 1 (* x (pow y 2))))) |
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 y x))) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y x)))) |
(+ (/ 1 x) (+ (/ 1 (* x y)) (+ (/ 1 (* x (pow y 2))) (/ 1 (* x (pow y 3)))))) |
(+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 y x))) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y x)))) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (*.f64 y x))))) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(+ (/ 1 x) (/ 1 (* x y))) |
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 y x))) |
(+ (/ 1 x) (+ (/ 1 (* x y)) (/ 1 (* x (pow y 2))))) |
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 y x))) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y x)))) |
(+ (* -1 (/ (- (* -1 (/ (+ (/ 1 x) (/ 1 (* x y))) y)) (/ 1 x)) y)) (/ 1 x)) |
(-.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (*.f64 y x))) (*.f64 y y)) (/.f64 #s(literal -1 binary64) (*.f64 y x)))) |
(/ y (* x (- y 1))) |
(/.f64 y (-.f64 (*.f64 y x) x)) |
(/ y (* x (- y 1))) |
(/.f64 y (-.f64 (*.f64 y x) x)) |
(/ y (* x (- y 1))) |
(/.f64 y (-.f64 (*.f64 y x) x)) |
(/ y (* x (- y 1))) |
(/.f64 y (-.f64 (*.f64 y x) x)) |
(/ y (* x (- y 1))) |
(/.f64 y (-.f64 (*.f64 y x) x)) |
(/ y (* x (- y 1))) |
(/.f64 y (-.f64 (*.f64 y x) x)) |
(/ y (* x (- y 1))) |
(/.f64 y (-.f64 (*.f64 y x) x)) |
(/ y (* x (- y 1))) |
(/.f64 y (-.f64 (*.f64 y x) x)) |
(* -1 (/ y (* x (+ 1 (* -1 y))))) |
(neg.f64 (/.f64 y (-.f64 x (*.f64 y x)))) |
(* -1 (/ y (* x (+ 1 (* -1 y))))) |
(neg.f64 (/.f64 y (-.f64 x (*.f64 y x)))) |
(* -1 (/ y (* x (+ 1 (* -1 y))))) |
(neg.f64 (/.f64 y (-.f64 x (*.f64 y x)))) |
(* -1 (/ y (* x (+ 1 (* -1 y))))) |
(neg.f64 (/.f64 y (-.f64 x (*.f64 y x)))) |
Compiled 31 233 to 3 448 computations (89% saved)
24 alts after pruning (21 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 107 | 17 | 1 124 |
| Fresh | 2 | 4 | 6 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 111 | 24 | 1 135 |
| Status | Accuracy | Program |
|---|---|---|
| 38.0% | (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) | |
| 41.3% | (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)) | |
| 40.8% | (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) | |
| ✓ | 59.2% | (-.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))) |
| ✓ | 60.1% | (-.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 x))) |
| 23.6% | (-.f64 (+.f64 #s(literal 1 binary64) x) (neg.f64 (log.f64 (neg.f64 y)))) | |
| ▶ | 40.9% | (-.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)))) |
| 25.8% | (-.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (neg.f64 y)))) | |
| ▶ | 71.3% | (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) |
| 39.6% | (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)))) | |
| ✓ | 61.2% | (-.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x))) |
| 41.1% | (-.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))) | |
| 40.0% | (-.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 x #s(literal -1 binary64)) y)) y))) | |
| ▶ | 41.7% | (-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))))) |
| 20.9% | (-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x y))) | |
| 61.2% | (-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 y (fma.f64 y x (neg.f64 x))) (/.f64 x #s(literal 1 binary64)))))) | |
| 39.0% | (-.f64 #s(literal 1 binary64) y) | |
| 41.7% | (+.f64 (log.f64 (/.f64 y (+.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64)) | |
| 39.8% | (+.f64 #s(literal 1 binary64) (-.f64 x y)) | |
| 41.4% | (+.f64 #s(literal 1 binary64) x) | |
| ▶ | 2.8% | (*.f64 y (*.f64 y #s(literal -1/2 binary64))) |
| 3.1% | (neg.f64 (fma.f64 y (*.f64 y #s(literal 1/2 binary64)) y)) | |
| 4.3% | (neg.f64 y) | |
| ▶ | 41.1% | #s(literal 1 binary64) |
Compiled 451 to 323 computations (28.4% saved)
| 1× | egg-herbie |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | 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 | (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) |
| ✓ | cost-diff | 0 | (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)) |
| ✓ | cost-diff | 0 | (*.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))) |
| ✓ | cost-diff | 128 | (-.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)))) |
| ✓ | cost-diff | 0 | (*.f64 y #s(literal -1/2 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 y (*.f64 y #s(literal -1/2 binary64))) |
| ✓ | cost-diff | 0 | (-.f64 x y) |
| ✓ | cost-diff | 0 | (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))) |
| ✓ | cost-diff | 0 | (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) |
| 11 344× | accelerator-lowering-fma.f32 |
| 11 344× | accelerator-lowering-fma.f64 |
| 1 968× | *-lowering-*.f32 |
| 1 968× | *-lowering-*.f64 |
| 1 800× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 141 |
| 1 | 72 | 141 |
| 2 | 187 | 141 |
| 3 | 430 | 141 |
| 4 | 1533 | 141 |
| 5 | 4534 | 141 |
| 6 | 5873 | 141 |
| 7 | 6463 | 141 |
| 8 | 6765 | 141 |
| 9 | 6986 | 141 |
| 10 | 7041 | 141 |
| 11 | 7579 | 141 |
| 12 | 7916 | 141 |
| 13 | 7939 | 141 |
| 14 | 7939 | 141 |
| 15 | 7945 | 141 |
| 16 | 7947 | 141 |
| 17 | 7949 | 141 |
| 18 | 7949 | 141 |
| 0 | 8045 | 124 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- 1 (log (+ 1 (/ (- x y) (+ y -1))))) |
1 |
(log (+ 1 (/ (- x y) (+ y -1)))) |
(/ (- x y) (+ y -1)) |
(- x y) |
x |
y |
(+ y -1) |
-1 |
1 |
(* y (* y -1/2)) |
y |
(* y -1/2) |
-1/2 |
(- 1 (* x (+ (* x (+ (* x (+ (* x -1/4) -1/3)) -1/2)) -1))) |
1 |
(* x (+ (* x (+ (* x (+ (* x -1/4) -1/3)) -1/2)) -1)) |
x |
(+ (* x (+ (* x (+ (* x -1/4) -1/3)) -1/2)) -1) |
(+ (* x (+ (* x -1/4) -1/3)) -1/2) |
(+ (* x -1/4) -1/3) |
-1/4 |
-1/3 |
-1/2 |
-1 |
(- 1 (log (/ x (+ y -1)))) |
1 |
(log (/ x (+ y -1))) |
(/ x (+ y -1)) |
x |
(+ y -1) |
y |
-1 |
| Outputs |
|---|
(- 1 (log (+ 1 (/ (- x y) (+ y -1))))) |
(-.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) (+ y -1)))) |
(log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) |
(/ (- x y) (+ y -1)) |
(/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))) |
(- x y) |
(-.f64 x y) |
x |
y |
(+ y -1) |
(+.f64 y #s(literal -1 binary64)) |
-1 |
#s(literal -1 binary64) |
1 |
#s(literal 1 binary64) |
(* y (* y -1/2)) |
(*.f64 y (*.f64 y #s(literal -1/2 binary64))) |
y |
(* y -1/2) |
(*.f64 y #s(literal -1/2 binary64)) |
-1/2 |
#s(literal -1/2 binary64) |
(- 1 (* x (+ (* x (+ (* x (+ (* x -1/4) -1/3)) -1/2)) -1))) |
(fma.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)) #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(* x (+ (* x (+ (* x (+ (* x -1/4) -1/3)) -1/2)) -1)) |
(*.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))) |
x |
(+ (* x (+ (* x (+ (* x -1/4) -1/3)) -1/2)) -1) |
(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)) |
(+ (* x (+ (* x -1/4) -1/3)) -1/2) |
(fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) |
(+ (* x -1/4) -1/3) |
(fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) |
-1/4 |
#s(literal -1/4 binary64) |
-1/3 |
#s(literal -1/3 binary64) |
-1/2 |
#s(literal -1/2 binary64) |
-1 |
#s(literal -1 binary64) |
(- 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) |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | 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 | 93.5% | (log.f64 (/.f64 x (+.f64 y #s(literal -1 binary64)))) |
| ✓ | accuracy | 100.0% | (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) |
| ✓ | accuracy | 100.0% | (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) |
| ✓ | accuracy | 100.0% | (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)) |
| ✓ | accuracy | 100.0% | (*.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))) |
| ✓ | accuracy | 100.0% | (*.f64 y (*.f64 y #s(literal -1/2 binary64))) |
| ✓ | accuracy | 100.0% | (*.f64 y #s(literal -1/2 binary64)) |
| ✓ | accuracy | 100.0% | (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) |
| ✓ | accuracy | 100.0% | (+.f64 y #s(literal -1 binary64)) |
| ✓ | accuracy | 100.0% | (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))) |
| ✓ | accuracy | 81.3% | (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) |
| 25.0ms | 132× | 0 | valid |
| 20.0ms | 47× | 1 | valid |
| 15.0ms | 77× | 0 | invalid |
Compiled 127 to 27 computations (78.7% saved)
ival-mult: 10.0ms (24.1% of total)ival-sub: 6.0ms (14.5% of total)ival-div: 5.0ms (12% of total)ival-add: 5.0ms (12% of total)const: 4.0ms (9.6% of total)ival-log1p: 4.0ms (9.6% of total)ival-log: 4.0ms (9.6% of total)adjust: 2.0ms (4.8% of total)exact: 1.0ms (2.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (- 1 (log (+ 1 (/ (- x y) (+ y -1)))))> |
#<alt (log (+ 1 (/ (- x y) (+ y -1))))> |
#<alt (/ (- x y) (+ y -1))> |
#<alt (- x y)> |
#<alt (* y (* y -1/2))> |
#<alt (* y -1/2)> |
#<alt (- 1 (* x (+ (* x (+ (* x (+ (* x -1/4) -1/3)) -1/2)) -1)))> |
#<alt (* x (+ (* x (+ (* x (+ (* x -1/4) -1/3)) -1/2)) -1))> |
#<alt (+ (* x (+ (* x (+ (* x -1/4) -1/3)) -1/2)) -1)> |
#<alt (+ (* x (+ (* x -1/4) -1/3)) -1/2)> |
#<alt (- 1 (log (/ x (+ y -1))))> |
#<alt (log (/ x (+ y -1)))> |
#<alt (/ x (+ y -1))> |
#<alt (+ y -1)> |
#<alt (+ (* x -1/4) -1/3)> |
| Outputs |
|---|
#<alt (- 1 (log (- 1 (/ y (- y 1)))))> |
#<alt (- (+ 1 (* -1 (/ x (* (- 1 (/ y (- y 1))) (- y 1))))) (log (- 1 (/ y (- y 1)))))> |
#<alt (- (+ 1 (* x (- (* 1/2 (/ x (* (pow (- 1 (/ y (- y 1))) 2) (pow (- y 1) 2)))) (/ 1 (* (- 1 (/ y (- y 1))) (- y 1)))))) (log (- 1 (/ y (- y 1)))))> |
#<alt (- (+ 1 (* x (- (* x (+ (* -1/3 (/ x (* (pow (- 1 (/ y (- y 1))) 3) (pow (- y 1) 3)))) (* 1/2 (/ 1 (* (pow (- 1 (/ y (- y 1))) 2) (pow (- y 1) 2)))))) (/ 1 (* (- 1 (/ y (- y 1))) (- y 1)))))) (log (- 1 (/ y (- y 1)))))> |
#<alt (- 1 (+ (log (/ 1 (- y 1))) (* -1 (log (/ 1 x)))))> |
#<alt (- (+ 1 (* -1 (/ (* (- 1 (/ y (- y 1))) (- y 1)) x))) (+ (log (/ 1 (- y 1))) (* -1 (log (/ 1 x)))))> |
#<alt (- (+ 1 (* 1/2 (/ (* (pow (- 1 (/ y (- y 1))) 2) (pow (- y 1) 2)) (pow x 2)))) (+ (log (/ 1 (- y 1))) (+ (* -1 (log (/ 1 x))) (/ (* (- 1 (/ y (- y 1))) (- y 1)) x))))> |
#<alt (- (+ 1 (* -1/3 (/ (* (pow (- 1 (/ y (- y 1))) 3) (pow (- y 1) 3)) (pow x 3)))) (+ (log (/ 1 (- y 1))) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (* (pow (- 1 (/ y (- y 1))) 2) (pow (- y 1) 2)) (pow x 2))) (/ (* (- 1 (/ y (- y 1))) (- y 1)) x)))))> |
#<alt (- 1 (+ (log (neg (/ 1 (- y 1)))) (* -1 (log (/ -1 x)))))> |
#<alt (- (+ 1 (* -1 (/ (* (+ 1 (* -1 (/ y (- y 1)))) (- y 1)) x))) (+ (log (neg (/ 1 (- y 1)))) (* -1 (log (/ -1 x)))))> |
#<alt (- (+ 1 (* -1 (/ (- (* -1/2 (/ (* (pow (+ 1 (* -1 (/ y (- y 1)))) 2) (pow (- y 1) 2)) x)) (* -1 (* (+ 1 (* -1 (/ y (- y 1)))) (- y 1)))) x))) (+ (log (neg (/ 1 (- y 1)))) (* -1 (log (/ -1 x)))))> |
#<alt (- (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1/3 (/ (* (pow (+ 1 (* -1 (/ y (- y 1)))) 3) (pow (- y 1) 3)) x)) (* -1/2 (* (pow (+ 1 (* -1 (/ y (- y 1)))) 2) (pow (- y 1) 2)))) x)) (* -1 (* (+ 1 (* -1 (/ y (- y 1)))) (- y 1)))) x))) (+ (log (neg (/ 1 (- y 1)))) (* -1 (log (/ -1 x)))))> |
#<alt (- 1 (log (+ 1 (* -1 x))))> |
#<alt (- (+ 1 (* y (- (/ x (+ 1 (* -1 x))) (/ 1 (+ 1 (* -1 x)))))) (log (+ 1 (* -1 x))))> |
#<alt (- (+ 1 (* y (- (+ (* -1/2 (* y (+ (* -1 (/ (pow (- 1 x) 2) (pow (+ 1 (* -1 x)) 2))) (* 2 (/ (- 1 x) (+ 1 (* -1 x))))))) (/ x (+ 1 (* -1 x)))) (/ 1 (+ 1 (* -1 x)))))) (log (+ 1 (* -1 x))))> |
#<alt (- (+ 1 (* y (- (+ (* y (- (* -1/6 (* y (+ (* -6 (/ (pow (- 1 x) 2) (pow (+ 1 (* -1 x)) 2))) (+ (* 2 (/ (pow (- 1 x) 3) (pow (+ 1 (* -1 x)) 3))) (* 6 (/ (- 1 x) (+ 1 (* -1 x)))))))) (* 1/2 (+ (* -1 (/ (pow (- 1 x) 2) (pow (+ 1 (* -1 x)) 2))) (* 2 (/ (- 1 x) (+ 1 (* -1 x)))))))) (/ x (+ 1 (* -1 x)))) (/ 1 (+ 1 (* -1 x)))))) (log (+ 1 (* -1 x))))> |
#<alt (- 1 (+ (log (- x 1)) (log (/ 1 y))))> |
#<alt (- (+ 1 (+ (* -1 (/ x (* y (- x 1)))) (/ 1 (* y (- x 1))))) (+ (log (- x 1)) (log (/ 1 y))))> |
#<alt (- (+ 1 (* -1/2 (/ (+ (* -2 (/ (+ 1 (* -1 x)) (- x 1))) (* -1 (/ (pow (+ 1 (* -1 x)) 2) (pow (- x 1) 2)))) (pow y 2)))) (+ (log (- x 1)) (+ (log (/ 1 y)) (* -1 (/ (+ 1 (* -1 x)) (* y (- x 1)))))))> |
#<alt (- (+ 1 (* -1/6 (/ (+ (* -6 (/ (+ 1 (* -1 x)) (- x 1))) (+ (* -6 (/ (pow (+ 1 (* -1 x)) 2) (pow (- x 1) 2))) (* -2 (/ (pow (+ 1 (* -1 x)) 3) (pow (- x 1) 3))))) (pow y 3)))) (+ (log (- x 1)) (+ (log (/ 1 y)) (+ (* -1 (/ (+ 1 (* -1 x)) (* y (- x 1)))) (* 1/2 (/ (+ (* -2 (/ (+ 1 (* -1 x)) (- x 1))) (* -1 (/ (pow (+ 1 (* -1 x)) 2) (pow (- x 1) 2)))) (pow y 2)))))))> |
#<alt (- 1 (+ (log (* -1 (- x 1))) (log (/ -1 y))))> |
#<alt (- (+ 1 (* -1 (/ (- (/ x (- x 1)) (/ 1 (- x 1))) y))) (+ (log (* -1 (- x 1))) (log (/ -1 y))))> |
#<alt (- (+ 1 (* -1 (/ (- (+ (* 1/2 (/ (+ 2 (* -1 (/ (pow (- 1 x) 2) (pow (- x 1) 2)))) y)) (/ x (- x 1))) (/ 1 (- x 1))) y))) (+ (log (* -1 (- x 1))) (log (/ -1 y))))> |
#<alt (- (+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* 1/6 (/ (+ (* -6 (/ (- 1 x) (- x 1))) (+ (* 2 (/ (pow (- 1 x) 3) (pow (- x 1) 3))) (* 6 (/ (- 1 x) (- x 1))))) y)) (* 1/2 (+ 2 (* -1 (/ (pow (- 1 x) 2) (pow (- x 1) 2)))))) y)) (/ x (- x 1))) (/ 1 (- x 1))) y))) (+ (log (* -1 (- x 1))) (log (/ -1 y))))> |
#<alt (log (- 1 (/ y (- y 1))))> |
#<alt (+ (log (- 1 (/ y (- y 1)))) (/ x (* (- 1 (/ y (- y 1))) (- y 1))))> |
#<alt (+ (log (- 1 (/ y (- y 1)))) (* x (+ (* -1/2 (/ x (* (pow (- 1 (/ y (- y 1))) 2) (pow (- y 1) 2)))) (/ 1 (* (- 1 (/ y (- y 1))) (- y 1))))))> |
#<alt (+ (log (- 1 (/ y (- y 1)))) (* x (+ (* x (- (* 1/3 (/ x (* (pow (- 1 (/ y (- y 1))) 3) (pow (- y 1) 3)))) (* 1/2 (/ 1 (* (pow (- 1 (/ y (- y 1))) 2) (pow (- y 1) 2)))))) (/ 1 (* (- 1 (/ y (- y 1))) (- y 1))))))> |
#<alt (+ (log (/ 1 (- y 1))) (* -1 (log (/ 1 x))))> |
#<alt (+ (log (/ 1 (- y 1))) (+ (* -1 (log (/ 1 x))) (/ (* (- 1 (/ y (- y 1))) (- y 1)) x)))> |
#<alt (+ (log (/ 1 (- y 1))) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (* (pow (- 1 (/ y (- y 1))) 2) (pow (- y 1) 2)) (pow x 2))) (/ (* (- 1 (/ y (- y 1))) (- y 1)) x))))> |
#<alt (+ (log (/ 1 (- y 1))) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (* (pow (- 1 (/ y (- y 1))) 2) (pow (- y 1) 2)) (pow x 2))) (+ (* 1/3 (/ (* (pow (- 1 (/ y (- y 1))) 3) (pow (- y 1) 3)) (pow x 3))) (/ (* (- 1 (/ y (- y 1))) (- y 1)) x)))))> |
#<alt (+ (log (neg (/ 1 (- y 1)))) (* -1 (log (/ -1 x))))> |
#<alt (+ (log (neg (/ 1 (- y 1)))) (+ (* -1 (log (/ -1 x))) (/ (* (+ 1 (* -1 (/ y (- y 1)))) (- y 1)) x)))> |
#<alt (+ (log (neg (/ 1 (- y 1)))) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 (* (+ 1 (* -1 (/ y (- y 1)))) (- y 1))) (* 1/2 (/ (* (pow (+ 1 (* -1 (/ y (- y 1)))) 2) (pow (- y 1) 2)) x))) x))))> |
#<alt (+ (log (neg (/ 1 (- y 1)))) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 (* (+ 1 (* -1 (/ y (- y 1)))) (- y 1))) (* -1 (/ (+ (* -1/2 (* (pow (+ 1 (* -1 (/ y (- y 1)))) 2) (pow (- y 1) 2))) (* 1/3 (/ (* (pow (+ 1 (* -1 (/ y (- y 1)))) 3) (pow (- y 1) 3)) x))) x))) x))))> |
#<alt (log (+ 1 (* -1 x)))> |
#<alt (+ (log (+ 1 (* -1 x))) (* y (- (/ 1 (+ 1 (* -1 x))) (/ x (+ 1 (* -1 x))))))> |
#<alt (+ (log (+ 1 (* -1 x))) (* y (- (+ (* 1/2 (* y (+ (* -1 (/ (pow (- 1 x) 2) (pow (+ 1 (* -1 x)) 2))) (* 2 (/ (- 1 x) (+ 1 (* -1 x))))))) (/ 1 (+ 1 (* -1 x)))) (/ x (+ 1 (* -1 x))))))> |
#<alt (+ (log (+ 1 (* -1 x))) (* y (- (+ (* y (+ (* 1/6 (* y (+ (* -6 (/ (pow (- 1 x) 2) (pow (+ 1 (* -1 x)) 2))) (+ (* 2 (/ (pow (- 1 x) 3) (pow (+ 1 (* -1 x)) 3))) (* 6 (/ (- 1 x) (+ 1 (* -1 x)))))))) (* 1/2 (+ (* -1 (/ (pow (- 1 x) 2) (pow (+ 1 (* -1 x)) 2))) (* 2 (/ (- 1 x) (+ 1 (* -1 x)))))))) (/ 1 (+ 1 (* -1 x)))) (/ x (+ 1 (* -1 x))))))> |
#<alt (+ (log (- x 1)) (log (/ 1 y)))> |
#<alt (+ (log (- x 1)) (+ (log (/ 1 y)) (* -1 (/ (+ 1 (* -1 x)) (* y (- x 1))))))> |
#<alt (+ (log (- x 1)) (+ (log (/ 1 y)) (+ (* -1 (/ (+ 1 (* -1 x)) (* y (- x 1)))) (* 1/2 (/ (+ (* -2 (/ (+ 1 (* -1 x)) (- x 1))) (* -1 (/ (pow (+ 1 (* -1 x)) 2) (pow (- x 1) 2)))) (pow y 2))))))> |
#<alt (+ (log (- x 1)) (+ (log (/ 1 y)) (+ (* -1 (/ (+ 1 (* -1 x)) (* y (- x 1)))) (+ (* 1/6 (/ (+ (* -6 (/ (+ 1 (* -1 x)) (- x 1))) (+ (* -6 (/ (pow (+ 1 (* -1 x)) 2) (pow (- x 1) 2))) (* -2 (/ (pow (+ 1 (* -1 x)) 3) (pow (- x 1) 3))))) (pow y 3))) (* 1/2 (/ (+ (* -2 (/ (+ 1 (* -1 x)) (- x 1))) (* -1 (/ (pow (+ 1 (* -1 x)) 2) (pow (- x 1) 2)))) (pow y 2)))))))> |
#<alt (+ (log (* -1 (- x 1))) (log (/ -1 y)))> |
#<alt (+ (log (* -1 (- x 1))) (+ (log (/ -1 y)) (* -1 (/ (- (/ 1 (- x 1)) (/ x (- x 1))) y))))> |
#<alt (+ (log (* -1 (- x 1))) (+ (log (/ -1 y)) (* -1 (/ (- (+ (* -1/2 (/ (+ 2 (* -1 (/ (pow (- 1 x) 2) (pow (- x 1) 2)))) y)) (/ 1 (- x 1))) (/ x (- x 1))) y))))> |
#<alt (+ (log (* -1 (- x 1))) (+ (log (/ -1 y)) (* -1 (/ (- (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -6 (/ (- 1 x) (- x 1))) (+ (* 2 (/ (pow (- 1 x) 3) (pow (- x 1) 3))) (* 6 (/ (- 1 x) (- x 1))))) y)) (* 1/2 (+ 2 (* -1 (/ (pow (- 1 x) 2) (pow (- x 1) 2)))))) y)) (/ 1 (- x 1))) (/ x (- x 1))) y))))> |
#<alt (* -1 (/ y (- y 1)))> |
#<alt (+ (* -1 (/ y (- y 1))) (/ x (- y 1)))> |
#<alt (+ (* -1 (/ y (- y 1))) (/ x (- y 1)))> |
#<alt (+ (* -1 (/ y (- y 1))) (/ x (- y 1)))> |
#<alt (/ x (- y 1))> |
#<alt (* x (+ (* -1 (/ y (* x (- y 1)))) (/ 1 (- y 1))))> |
#<alt (* x (+ (* -1 (/ y (* x (- y 1)))) (/ 1 (- y 1))))> |
#<alt (* x (+ (* -1 (/ y (* x (- y 1)))) (/ 1 (- y 1))))> |
#<alt (/ x (- y 1))> |
#<alt (* -1 (* x (- (/ y (* x (- y 1))) (/ 1 (- y 1)))))> |
#<alt (* -1 (* x (- (/ y (* x (- y 1))) (/ 1 (- y 1)))))> |
#<alt (* -1 (* x (- (/ y (* x (- y 1))) (/ 1 (- y 1)))))> |
#<alt (* -1 x)> |
#<alt (+ (* -1 x) (* y (- 1 x)))> |
#<alt (+ (* -1 x) (* y (- (+ 1 (* y (- 1 x))) x)))> |
#<alt (+ (* -1 x) (* y (- (+ 1 (* y (- (* y (- 1 x)) (* -1 (- 1 x))))) x)))> |
#<alt -1> |
#<alt (- (/ x y) (+ 1 (/ 1 y)))> |
#<alt (- (+ (/ x y) (/ x (pow y 2))) (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))))> |
#<alt (- (+ (/ x y) (/ x (pow y 3))) (+ 1 (+ (* -1 (/ (- x 1) (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3))))))> |
#<alt -1> |
#<alt (- (/ x y) (+ 1 (/ 1 y)))> |
#<alt (- (* -1 (/ (- (+ (* -1 (- x 1)) (/ 1 y)) (/ x y)) y)) 1)> |
#<alt (- (* -1 (/ (+ (* -1 (- x 1)) (* -1 (/ (- (+ (* -1 (- 1 x)) (/ x y)) (/ 1 y)) y))) y)) 1)> |
#<alt (* -1 y)> |
#<alt (- x y)> |
#<alt (- x y)> |
#<alt (- x y)> |
#<alt x> |
#<alt (* x (+ 1 (* -1 (/ y x))))> |
#<alt (* x (+ 1 (* -1 (/ y x))))> |
#<alt (* x (+ 1 (* -1 (/ y x))))> |
#<alt x> |
#<alt (* -1 (* x (- (/ y x) 1)))> |
#<alt (* -1 (* x (- (/ y x) 1)))> |
#<alt (* -1 (* x (- (/ y x) 1)))> |
#<alt x> |
#<alt (+ x (* -1 y))> |
#<alt (+ x (* -1 y))> |
#<alt (+ x (* -1 y))> |
#<alt (* -1 y)> |
#<alt (* y (- (/ x y) 1))> |
#<alt (* y (- (/ x y) 1))> |
#<alt (* y (- (/ x y) 1))> |
#<alt (* -1 y)> |
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))> |
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))> |
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))> |
#<alt (* -1/2 (pow y 2))> |
#<alt (* -1/2 (pow y 2))> |
#<alt (* -1/2 (pow y 2))> |
#<alt (* -1/2 (pow y 2))> |
#<alt (* -1/2 (pow y 2))> |
#<alt (* -1/2 (pow y 2))> |
#<alt (* -1/2 (pow y 2))> |
#<alt (* -1/2 (pow y 2))> |
#<alt (* -1/2 (pow y 2))> |
#<alt (* -1/2 (pow y 2))> |
#<alt (* -1/2 (pow y 2))> |
#<alt (* -1/2 (pow y 2))> |
#<alt (* -1/2 y)> |
#<alt (* -1/2 y)> |
#<alt (* -1/2 y)> |
#<alt (* -1/2 y)> |
#<alt (* -1/2 y)> |
#<alt (* -1/2 y)> |
#<alt (* -1/2 y)> |
#<alt (* -1/2 y)> |
#<alt (* -1/2 y)> |
#<alt (* -1/2 y)> |
#<alt (* -1/2 y)> |
#<alt (* -1/2 y)> |
#<alt 1> |
#<alt (+ 1 x)> |
#<alt (+ 1 (* x (+ 1 (* 1/2 x))))> |
#<alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/3 x))))))> |
#<alt (* 1/4 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/4 (* 1/3 (/ 1 x))))> |
#<alt (* (pow x 4) (+ 1/4 (+ (/ 1/2 (pow x 2)) (* 1/3 (/ 1 x)))))> |
#<alt (* (pow x 4) (+ 1/4 (+ (/ 1/2 (pow x 2)) (+ (* 1/3 (/ 1 x)) (/ 1 (pow x 3))))))> |
#<alt (* 1/4 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/4 (* 1/3 (/ 1 x))))> |
#<alt (* (pow x 4) (+ 1/4 (+ (/ 1/2 (pow x 2)) (* 1/3 (/ 1 x)))))> |
#<alt (* (pow x 4) (+ 1/4 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/3) 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 (* -1/4 (pow x 4))> |
#<alt (* -1 (* (pow x 4) (+ 1/4 (* 1/3 (/ 1 x)))))> |
#<alt (* (pow x 4) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4))> |
#<alt (* (pow x 4) (- (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 2))) (+ 1/4 (* 1/3 (/ 1 x)))))> |
#<alt (* -1/4 (pow x 4))> |
#<alt (* -1 (* (pow x 4) (+ 1/4 (* 1/3 (/ 1 x)))))> |
#<alt (* (pow x 4) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4))> |
#<alt (* (pow x 4) (- (* -1 (/ (+ 1/3 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/4))> |
#<alt -1> |
#<alt (- (* -1/2 x) 1)> |
#<alt (- (* x (- (* -1/3 x) 1/2)) 1)> |
#<alt (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1)> |
#<alt (* -1/4 (pow x 3))> |
#<alt (* -1 (* (pow x 3) (+ 1/4 (* 1/3 (/ 1 x)))))> |
#<alt (* (pow x 3) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4))> |
#<alt (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 2))) (+ 1/4 (* 1/3 (/ 1 x)))))> |
#<alt (* -1/4 (pow x 3))> |
#<alt (* -1 (* (pow x 3) (+ 1/4 (* 1/3 (/ 1 x)))))> |
#<alt (* -1 (* (pow x 3) (+ 1/4 (+ (/ 1/2 (pow x 2)) (* 1/3 (/ 1 x))))))> |
#<alt (* -1 (* (pow x 3) (+ 1/4 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/3) x)))))> |
#<alt -1/2> |
#<alt (- (* -1/3 x) 1/2)> |
#<alt (- (* x (- (* -1/4 x) 1/3)) 1/2)> |
#<alt (- (* x (- (* -1/4 x) 1/3)) 1/2)> |
#<alt (* -1/4 (pow x 2))> |
#<alt (* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 x)))))> |
#<alt (* (pow x 2) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4))> |
#<alt (* (pow x 2) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4))> |
#<alt (* -1/4 (pow x 2))> |
#<alt (* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 x)))))> |
#<alt (* (pow x 2) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4))> |
#<alt (* (pow x 2) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4))> |
#<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 -1/3> |
#<alt (- (* -1/4 x) 1/3)> |
#<alt (- (* -1/4 x) 1/3)> |
#<alt (- (* -1/4 x) 1/3)> |
#<alt (* -1/4 x)> |
#<alt (* -1 (* x (+ 1/4 (* 1/3 (/ 1 x)))))> |
#<alt (* -1 (* x (+ 1/4 (* 1/3 (/ 1 x)))))> |
#<alt (* -1 (* x (+ 1/4 (* 1/3 (/ 1 x)))))> |
#<alt (* -1/4 x)> |
#<alt (* -1 (* x (+ 1/4 (* 1/3 (/ 1 x)))))> |
#<alt (* -1 (* x (+ 1/4 (* 1/3 (/ 1 x)))))> |
#<alt (* -1 (* x (+ 1/4 (* 1/3 (/ 1 x)))))> |
66 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 33.0ms | x | @ | 0 | (- 1 (log (/ x (+ y -1)))) |
| 17.0ms | x | @ | -inf | (- 1 (log (/ x (+ y -1)))) |
| 6.0ms | x | @ | inf | (- 1 (log (/ x (+ y -1)))) |
| 2.0ms | x | @ | 0 | (log (+ 1 (/ (- x y) (+ y -1)))) |
| 1.0ms | y | @ | inf | (- 1 (log (+ 1 (/ (- x y) (+ y -1))))) |
| 1× | batch-egg-rewrite |
| 4 524× | *-lowering-*.f32 |
| 4 524× | *-lowering-*.f64 |
| 4 270× | /-lowering-/.f32 |
| 4 270× | /-lowering-/.f64 |
| 4 108× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 121 |
| 1 | 188 | 121 |
| 2 | 1684 | 121 |
| 0 | 8927 | 105 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- 1 (log (+ 1 (/ (- x y) (+ y -1))))) |
(log (+ 1 (/ (- x y) (+ y -1)))) |
(/ (- x y) (+ y -1)) |
(- x y) |
(* y (* y -1/2)) |
(* y -1/2) |
(- 1 (* x (+ (* x (+ (* x (+ (* x -1/4) -1/3)) -1/2)) -1))) |
(* x (+ (* x (+ (* x (+ (* x -1/4) -1/3)) -1/2)) -1)) |
(+ (* x (+ (* x (+ (* x -1/4) -1/3)) -1/2)) -1) |
(+ (* x (+ (* x -1/4) -1/3)) -1/2) |
(- 1 (log (/ x (+ y -1)))) |
(log (/ x (+ y -1))) |
(/ x (+ y -1)) |
(+ y -1) |
(+ (* x -1/4) -1/3) |
| Outputs |
|---|
(+.f64 #s(literal 1 binary64) (neg.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))))) |
(+.f64 (neg.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) #s(literal 1 binary64))) (/.f64 (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) #s(literal 3 binary64)) (fma.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) #s(literal 1 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))))) (/.f64 (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (neg.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))))) (/.f64 (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (neg.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))))))) |
(fma.f64 #s(literal -1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) #s(literal 2 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) #s(literal 3 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) #s(literal 3 binary64))) (fma.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (neg.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (neg.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (neg.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))))))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) #s(literal 2 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))))))) |
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(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/64 binary64) #s(literal -1/27 binary64)) (+.f64 #s(literal 1/9 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/16 binary64)) (*.f64 x #s(literal 1/12 binary64))))) |
(/.f64 (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) #s(literal -1/9 binary64)) (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/64 binary64) #s(literal -1/27 binary64))) (neg.f64 (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) #s(literal 1/9 binary64)) (*.f64 x #s(literal 1/12 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/64 binary64) #s(literal -1/27 binary64))) (neg.f64 (+.f64 #s(literal 1/9 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/16 binary64)) (*.f64 x #s(literal 1/12 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) #s(literal -1/9 binary64))) (neg.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)))) |
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) #s(literal 1/16 binary64))) (-.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/16 binary64)) (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))) (*.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (*.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/64 binary64) #s(literal -1/27 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) #s(literal 1/9 binary64)) (*.f64 x #s(literal 1/12 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) #s(literal -1/9 binary64)))) (neg.f64 (neg.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) #s(literal 1/16 binary64)))) (neg.f64 (-.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/16 binary64)) (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/9 binary64) (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/16 binary64)) (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/16 binary64)) (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))) (fma.f64 (/.f64 #s(literal 1/9 binary64) (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/16 binary64)) (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))))))) |
(pow.f64 (/.f64 (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) #s(literal 1/9 binary64)) (*.f64 x #s(literal 1/12 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/64 binary64) #s(literal -1/27 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) #s(literal -1/9 binary64))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/64 binary64) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) #s(literal 1/9 binary64)) (*.f64 x #s(literal 1/12 binary64))))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)))) |
| 1× | egg-herbie |
| 6 956× | accelerator-lowering-fma.f32 |
| 6 956× | accelerator-lowering-fma.f64 |
| 3 780× | +-lowering-+.f64 |
| 3 780× | +-lowering-+.f32 |
| 3 462× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 592 | 3755 |
| 1 | 1829 | 3308 |
| 2 | 5801 | 2888 |
| 0 | 8885 | 2753 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- 1 (log (- 1 (/ y (- y 1))))) |
(- (+ 1 (* -1 (/ x (* (- 1 (/ y (- y 1))) (- y 1))))) (log (- 1 (/ y (- y 1))))) |
(- (+ 1 (* x (- (* 1/2 (/ x (* (pow (- 1 (/ y (- y 1))) 2) (pow (- y 1) 2)))) (/ 1 (* (- 1 (/ y (- y 1))) (- y 1)))))) (log (- 1 (/ y (- y 1))))) |
(- (+ 1 (* x (- (* x (+ (* -1/3 (/ x (* (pow (- 1 (/ y (- y 1))) 3) (pow (- y 1) 3)))) (* 1/2 (/ 1 (* (pow (- 1 (/ y (- y 1))) 2) (pow (- y 1) 2)))))) (/ 1 (* (- 1 (/ y (- y 1))) (- y 1)))))) (log (- 1 (/ y (- y 1))))) |
(- 1 (+ (log (/ 1 (- y 1))) (* -1 (log (/ 1 x))))) |
(- (+ 1 (* -1 (/ (* (- 1 (/ y (- y 1))) (- y 1)) x))) (+ (log (/ 1 (- y 1))) (* -1 (log (/ 1 x))))) |
(- (+ 1 (* 1/2 (/ (* (pow (- 1 (/ y (- y 1))) 2) (pow (- y 1) 2)) (pow x 2)))) (+ (log (/ 1 (- y 1))) (+ (* -1 (log (/ 1 x))) (/ (* (- 1 (/ y (- y 1))) (- y 1)) x)))) |
(- (+ 1 (* -1/3 (/ (* (pow (- 1 (/ y (- y 1))) 3) (pow (- y 1) 3)) (pow x 3)))) (+ (log (/ 1 (- y 1))) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (* (pow (- 1 (/ y (- y 1))) 2) (pow (- y 1) 2)) (pow x 2))) (/ (* (- 1 (/ y (- y 1))) (- y 1)) x))))) |
(- 1 (+ (log (neg (/ 1 (- y 1)))) (* -1 (log (/ -1 x))))) |
(- (+ 1 (* -1 (/ (* (+ 1 (* -1 (/ y (- y 1)))) (- y 1)) x))) (+ (log (neg (/ 1 (- y 1)))) (* -1 (log (/ -1 x))))) |
(- (+ 1 (* -1 (/ (- (* -1/2 (/ (* (pow (+ 1 (* -1 (/ y (- y 1)))) 2) (pow (- y 1) 2)) x)) (* -1 (* (+ 1 (* -1 (/ y (- y 1)))) (- y 1)))) x))) (+ (log (neg (/ 1 (- y 1)))) (* -1 (log (/ -1 x))))) |
(- (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1/3 (/ (* (pow (+ 1 (* -1 (/ y (- y 1)))) 3) (pow (- y 1) 3)) x)) (* -1/2 (* (pow (+ 1 (* -1 (/ y (- y 1)))) 2) (pow (- y 1) 2)))) x)) (* -1 (* (+ 1 (* -1 (/ y (- y 1)))) (- y 1)))) x))) (+ (log (neg (/ 1 (- y 1)))) (* -1 (log (/ -1 x))))) |
(- 1 (log (+ 1 (* -1 x)))) |
(- (+ 1 (* y (- (/ x (+ 1 (* -1 x))) (/ 1 (+ 1 (* -1 x)))))) (log (+ 1 (* -1 x)))) |
(- (+ 1 (* y (- (+ (* -1/2 (* y (+ (* -1 (/ (pow (- 1 x) 2) (pow (+ 1 (* -1 x)) 2))) (* 2 (/ (- 1 x) (+ 1 (* -1 x))))))) (/ x (+ 1 (* -1 x)))) (/ 1 (+ 1 (* -1 x)))))) (log (+ 1 (* -1 x)))) |
(- (+ 1 (* y (- (+ (* y (- (* -1/6 (* y (+ (* -6 (/ (pow (- 1 x) 2) (pow (+ 1 (* -1 x)) 2))) (+ (* 2 (/ (pow (- 1 x) 3) (pow (+ 1 (* -1 x)) 3))) (* 6 (/ (- 1 x) (+ 1 (* -1 x)))))))) (* 1/2 (+ (* -1 (/ (pow (- 1 x) 2) (pow (+ 1 (* -1 x)) 2))) (* 2 (/ (- 1 x) (+ 1 (* -1 x)))))))) (/ x (+ 1 (* -1 x)))) (/ 1 (+ 1 (* -1 x)))))) (log (+ 1 (* -1 x)))) |
(- 1 (+ (log (- x 1)) (log (/ 1 y)))) |
(- (+ 1 (+ (* -1 (/ x (* y (- x 1)))) (/ 1 (* y (- x 1))))) (+ (log (- x 1)) (log (/ 1 y)))) |
(- (+ 1 (* -1/2 (/ (+ (* -2 (/ (+ 1 (* -1 x)) (- x 1))) (* -1 (/ (pow (+ 1 (* -1 x)) 2) (pow (- x 1) 2)))) (pow y 2)))) (+ (log (- x 1)) (+ (log (/ 1 y)) (* -1 (/ (+ 1 (* -1 x)) (* y (- x 1))))))) |
(- (+ 1 (* -1/6 (/ (+ (* -6 (/ (+ 1 (* -1 x)) (- x 1))) (+ (* -6 (/ (pow (+ 1 (* -1 x)) 2) (pow (- x 1) 2))) (* -2 (/ (pow (+ 1 (* -1 x)) 3) (pow (- x 1) 3))))) (pow y 3)))) (+ (log (- x 1)) (+ (log (/ 1 y)) (+ (* -1 (/ (+ 1 (* -1 x)) (* y (- x 1)))) (* 1/2 (/ (+ (* -2 (/ (+ 1 (* -1 x)) (- x 1))) (* -1 (/ (pow (+ 1 (* -1 x)) 2) (pow (- x 1) 2)))) (pow y 2))))))) |
(- 1 (+ (log (* -1 (- x 1))) (log (/ -1 y)))) |
(- (+ 1 (* -1 (/ (- (/ x (- x 1)) (/ 1 (- x 1))) y))) (+ (log (* -1 (- x 1))) (log (/ -1 y)))) |
(- (+ 1 (* -1 (/ (- (+ (* 1/2 (/ (+ 2 (* -1 (/ (pow (- 1 x) 2) (pow (- x 1) 2)))) y)) (/ x (- x 1))) (/ 1 (- x 1))) y))) (+ (log (* -1 (- x 1))) (log (/ -1 y)))) |
(- (+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* 1/6 (/ (+ (* -6 (/ (- 1 x) (- x 1))) (+ (* 2 (/ (pow (- 1 x) 3) (pow (- x 1) 3))) (* 6 (/ (- 1 x) (- x 1))))) y)) (* 1/2 (+ 2 (* -1 (/ (pow (- 1 x) 2) (pow (- x 1) 2)))))) y)) (/ x (- x 1))) (/ 1 (- x 1))) y))) (+ (log (* -1 (- x 1))) (log (/ -1 y)))) |
(log (- 1 (/ y (- y 1)))) |
(+ (log (- 1 (/ y (- y 1)))) (/ x (* (- 1 (/ y (- y 1))) (- y 1)))) |
(+ (log (- 1 (/ y (- y 1)))) (* x (+ (* -1/2 (/ x (* (pow (- 1 (/ y (- y 1))) 2) (pow (- y 1) 2)))) (/ 1 (* (- 1 (/ y (- y 1))) (- y 1)))))) |
(+ (log (- 1 (/ y (- y 1)))) (* x (+ (* x (- (* 1/3 (/ x (* (pow (- 1 (/ y (- y 1))) 3) (pow (- y 1) 3)))) (* 1/2 (/ 1 (* (pow (- 1 (/ y (- y 1))) 2) (pow (- y 1) 2)))))) (/ 1 (* (- 1 (/ y (- y 1))) (- y 1)))))) |
(+ (log (/ 1 (- y 1))) (* -1 (log (/ 1 x)))) |
(+ (log (/ 1 (- y 1))) (+ (* -1 (log (/ 1 x))) (/ (* (- 1 (/ y (- y 1))) (- y 1)) x))) |
(+ (log (/ 1 (- y 1))) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (* (pow (- 1 (/ y (- y 1))) 2) (pow (- y 1) 2)) (pow x 2))) (/ (* (- 1 (/ y (- y 1))) (- y 1)) x)))) |
(+ (log (/ 1 (- y 1))) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (* (pow (- 1 (/ y (- y 1))) 2) (pow (- y 1) 2)) (pow x 2))) (+ (* 1/3 (/ (* (pow (- 1 (/ y (- y 1))) 3) (pow (- y 1) 3)) (pow x 3))) (/ (* (- 1 (/ y (- y 1))) (- y 1)) x))))) |
(+ (log (neg (/ 1 (- y 1)))) (* -1 (log (/ -1 x)))) |
(+ (log (neg (/ 1 (- y 1)))) (+ (* -1 (log (/ -1 x))) (/ (* (+ 1 (* -1 (/ y (- y 1)))) (- y 1)) x))) |
(+ (log (neg (/ 1 (- y 1)))) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 (* (+ 1 (* -1 (/ y (- y 1)))) (- y 1))) (* 1/2 (/ (* (pow (+ 1 (* -1 (/ y (- y 1)))) 2) (pow (- y 1) 2)) x))) x)))) |
(+ (log (neg (/ 1 (- y 1)))) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 (* (+ 1 (* -1 (/ y (- y 1)))) (- y 1))) (* -1 (/ (+ (* -1/2 (* (pow (+ 1 (* -1 (/ y (- y 1)))) 2) (pow (- y 1) 2))) (* 1/3 (/ (* (pow (+ 1 (* -1 (/ y (- y 1)))) 3) (pow (- y 1) 3)) x))) x))) x)))) |
(log (+ 1 (* -1 x))) |
(+ (log (+ 1 (* -1 x))) (* y (- (/ 1 (+ 1 (* -1 x))) (/ x (+ 1 (* -1 x)))))) |
(+ (log (+ 1 (* -1 x))) (* y (- (+ (* 1/2 (* y (+ (* -1 (/ (pow (- 1 x) 2) (pow (+ 1 (* -1 x)) 2))) (* 2 (/ (- 1 x) (+ 1 (* -1 x))))))) (/ 1 (+ 1 (* -1 x)))) (/ x (+ 1 (* -1 x)))))) |
(+ (log (+ 1 (* -1 x))) (* y (- (+ (* y (+ (* 1/6 (* y (+ (* -6 (/ (pow (- 1 x) 2) (pow (+ 1 (* -1 x)) 2))) (+ (* 2 (/ (pow (- 1 x) 3) (pow (+ 1 (* -1 x)) 3))) (* 6 (/ (- 1 x) (+ 1 (* -1 x)))))))) (* 1/2 (+ (* -1 (/ (pow (- 1 x) 2) (pow (+ 1 (* -1 x)) 2))) (* 2 (/ (- 1 x) (+ 1 (* -1 x)))))))) (/ 1 (+ 1 (* -1 x)))) (/ x (+ 1 (* -1 x)))))) |
(+ (log (- x 1)) (log (/ 1 y))) |
(+ (log (- x 1)) (+ (log (/ 1 y)) (* -1 (/ (+ 1 (* -1 x)) (* y (- x 1)))))) |
(+ (log (- x 1)) (+ (log (/ 1 y)) (+ (* -1 (/ (+ 1 (* -1 x)) (* y (- x 1)))) (* 1/2 (/ (+ (* -2 (/ (+ 1 (* -1 x)) (- x 1))) (* -1 (/ (pow (+ 1 (* -1 x)) 2) (pow (- x 1) 2)))) (pow y 2)))))) |
(+ (log (- x 1)) (+ (log (/ 1 y)) (+ (* -1 (/ (+ 1 (* -1 x)) (* y (- x 1)))) (+ (* 1/6 (/ (+ (* -6 (/ (+ 1 (* -1 x)) (- x 1))) (+ (* -6 (/ (pow (+ 1 (* -1 x)) 2) (pow (- x 1) 2))) (* -2 (/ (pow (+ 1 (* -1 x)) 3) (pow (- x 1) 3))))) (pow y 3))) (* 1/2 (/ (+ (* -2 (/ (+ 1 (* -1 x)) (- x 1))) (* -1 (/ (pow (+ 1 (* -1 x)) 2) (pow (- x 1) 2)))) (pow y 2))))))) |
(+ (log (* -1 (- x 1))) (log (/ -1 y))) |
(+ (log (* -1 (- x 1))) (+ (log (/ -1 y)) (* -1 (/ (- (/ 1 (- x 1)) (/ x (- x 1))) y)))) |
(+ (log (* -1 (- x 1))) (+ (log (/ -1 y)) (* -1 (/ (- (+ (* -1/2 (/ (+ 2 (* -1 (/ (pow (- 1 x) 2) (pow (- x 1) 2)))) y)) (/ 1 (- x 1))) (/ x (- x 1))) y)))) |
(+ (log (* -1 (- x 1))) (+ (log (/ -1 y)) (* -1 (/ (- (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -6 (/ (- 1 x) (- x 1))) (+ (* 2 (/ (pow (- 1 x) 3) (pow (- x 1) 3))) (* 6 (/ (- 1 x) (- x 1))))) y)) (* 1/2 (+ 2 (* -1 (/ (pow (- 1 x) 2) (pow (- x 1) 2)))))) y)) (/ 1 (- x 1))) (/ x (- x 1))) y)))) |
(* -1 (/ y (- y 1))) |
(+ (* -1 (/ y (- y 1))) (/ x (- y 1))) |
(+ (* -1 (/ y (- y 1))) (/ x (- y 1))) |
(+ (* -1 (/ y (- y 1))) (/ x (- y 1))) |
(/ x (- y 1)) |
(* x (+ (* -1 (/ y (* x (- y 1)))) (/ 1 (- y 1)))) |
(* x (+ (* -1 (/ y (* x (- y 1)))) (/ 1 (- y 1)))) |
(* x (+ (* -1 (/ y (* x (- y 1)))) (/ 1 (- y 1)))) |
(/ x (- y 1)) |
(* -1 (* x (- (/ y (* x (- y 1))) (/ 1 (- y 1))))) |
(* -1 (* x (- (/ y (* x (- y 1))) (/ 1 (- y 1))))) |
(* -1 (* x (- (/ y (* x (- y 1))) (/ 1 (- y 1))))) |
(* -1 x) |
(+ (* -1 x) (* y (- 1 x))) |
(+ (* -1 x) (* y (- (+ 1 (* y (- 1 x))) x))) |
(+ (* -1 x) (* y (- (+ 1 (* y (- (* y (- 1 x)) (* -1 (- 1 x))))) x))) |
-1 |
(- (/ x y) (+ 1 (/ 1 y))) |
(- (+ (/ x y) (/ x (pow y 2))) (+ 1 (+ (/ 1 y) (/ 1 (pow y 2))))) |
(- (+ (/ x y) (/ x (pow y 3))) (+ 1 (+ (* -1 (/ (- x 1) (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3)))))) |
-1 |
(- (/ x y) (+ 1 (/ 1 y))) |
(- (* -1 (/ (- (+ (* -1 (- x 1)) (/ 1 y)) (/ x y)) y)) 1) |
(- (* -1 (/ (+ (* -1 (- x 1)) (* -1 (/ (- (+ (* -1 (- 1 x)) (/ x y)) (/ 1 y)) y))) y)) 1) |
(* -1 y) |
(- x y) |
(- x y) |
(- x y) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
(* x (+ 1 (* -1 (/ y x)))) |
(* x (+ 1 (* -1 (/ y x)))) |
x |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (- (/ y x) 1))) |
x |
(+ x (* -1 y)) |
(+ x (* -1 y)) |
(+ x (* -1 y)) |
(* -1 y) |
(* y (- (/ x y) 1)) |
(* y (- (/ x y) 1)) |
(* y (- (/ x y) 1)) |
(* -1 y) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1/2 (pow y 2)) |
(* -1/2 (pow y 2)) |
(* -1/2 (pow y 2)) |
(* -1/2 (pow y 2)) |
(* -1/2 (pow y 2)) |
(* -1/2 (pow y 2)) |
(* -1/2 (pow y 2)) |
(* -1/2 (pow y 2)) |
(* -1/2 (pow y 2)) |
(* -1/2 (pow y 2)) |
(* -1/2 (pow y 2)) |
(* -1/2 (pow y 2)) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
1 |
(+ 1 x) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/3 x)))))) |
(* 1/4 (pow x 4)) |
(* (pow x 4) (+ 1/4 (* 1/3 (/ 1 x)))) |
(* (pow x 4) (+ 1/4 (+ (/ 1/2 (pow x 2)) (* 1/3 (/ 1 x))))) |
(* (pow x 4) (+ 1/4 (+ (/ 1/2 (pow x 2)) (+ (* 1/3 (/ 1 x)) (/ 1 (pow x 3)))))) |
(* 1/4 (pow x 4)) |
(* (pow x 4) (+ 1/4 (* 1/3 (/ 1 x)))) |
(* (pow x 4) (+ 1/4 (+ (/ 1/2 (pow x 2)) (* 1/3 (/ 1 x))))) |
(* (pow x 4) (+ 1/4 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/3) 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)) |
(* -1/4 (pow x 4)) |
(* -1 (* (pow x 4) (+ 1/4 (* 1/3 (/ 1 x))))) |
(* (pow x 4) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4)) |
(* (pow x 4) (- (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 2))) (+ 1/4 (* 1/3 (/ 1 x))))) |
(* -1/4 (pow x 4)) |
(* -1 (* (pow x 4) (+ 1/4 (* 1/3 (/ 1 x))))) |
(* (pow x 4) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4)) |
(* (pow x 4) (- (* -1 (/ (+ 1/3 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/4)) |
-1 |
(- (* -1/2 x) 1) |
(- (* x (- (* -1/3 x) 1/2)) 1) |
(- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1) |
(* -1/4 (pow x 3)) |
(* -1 (* (pow x 3) (+ 1/4 (* 1/3 (/ 1 x))))) |
(* (pow x 3) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4)) |
(* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 2))) (+ 1/4 (* 1/3 (/ 1 x))))) |
(* -1/4 (pow x 3)) |
(* -1 (* (pow x 3) (+ 1/4 (* 1/3 (/ 1 x))))) |
(* -1 (* (pow x 3) (+ 1/4 (+ (/ 1/2 (pow x 2)) (* 1/3 (/ 1 x)))))) |
(* -1 (* (pow x 3) (+ 1/4 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/3) x))))) |
-1/2 |
(- (* -1/3 x) 1/2) |
(- (* x (- (* -1/4 x) 1/3)) 1/2) |
(- (* x (- (* -1/4 x) 1/3)) 1/2) |
(* -1/4 (pow x 2)) |
(* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 x))))) |
(* (pow x 2) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4)) |
(* (pow x 2) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4)) |
(* -1/4 (pow x 2)) |
(* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 x))))) |
(* (pow x 2) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4)) |
(* (pow x 2) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4)) |
(- 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))) |
-1/3 |
(- (* -1/4 x) 1/3) |
(- (* -1/4 x) 1/3) |
(- (* -1/4 x) 1/3) |
(* -1/4 x) |
(* -1 (* x (+ 1/4 (* 1/3 (/ 1 x))))) |
(* -1 (* x (+ 1/4 (* 1/3 (/ 1 x))))) |
(* -1 (* x (+ 1/4 (* 1/3 (/ 1 x))))) |
(* -1/4 x) |
(* -1 (* x (+ 1/4 (* 1/3 (/ 1 x))))) |
(* -1 (* x (+ 1/4 (* 1/3 (/ 1 x))))) |
(* -1 (* x (+ 1/4 (* 1/3 (/ 1 x))))) |
| Outputs |
|---|
(- 1 (log (- 1 (/ y (- y 1))))) |
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)))) |
(- (+ 1 (* -1 (/ x (* (- 1 (/ y (- y 1))) (- y 1))))) (log (- 1 (/ y (- y 1))))) |
(+.f64 (/.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) 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 (- y 1))) 2) (pow (- y 1) 2)))) (/ 1 (* (- 1 (/ y (- y 1))) (- y 1)))))) (log (- 1 (/ y (- y 1))))) |
(fma.f64 x (fma.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (+.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 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) 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 (- y 1))) 3) (pow (- y 1) 3)))) (* 1/2 (/ 1 (* (pow (- 1 (/ y (- y 1))) 2) (pow (- y 1) 2)))))) (/ 1 (* (- 1 (/ y (- y 1))) (- y 1)))))) (log (- 1 (/ y (- y 1))))) |
(fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/3 binary64) (/.f64 x (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #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 y #s(literal -1 binary64)) (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64))))))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (+.f64 #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 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64)))))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y))) (-.f64 #s(literal 1 binary64) y)))) (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y))))) |
(- 1 (+ (log (/ 1 (- y 1))) (* -1 (log (/ 1 x))))) |
(+.f64 (-.f64 #s(literal 1 binary64) (log.f64 x)) (log.f64 (+.f64 y #s(literal -1 binary64)))) |
(- (+ 1 (* -1 (/ (* (- 1 (/ y (- y 1))) (- y 1)) x))) (+ (log (/ 1 (- y 1))) (* -1 (log (/ 1 x))))) |
(+.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y))) x) #s(literal 1 binary64)) (-.f64 (log.f64 (+.f64 y #s(literal -1 binary64))) (log.f64 x))) |
(- (+ 1 (* 1/2 (/ (* (pow (- 1 (/ y (- y 1))) 2) (pow (- y 1) 2)) (pow x 2)))) (+ (log (/ 1 (- y 1))) (+ (* -1 (log (/ 1 x))) (/ (* (- 1 (/ y (- y 1))) (- y 1)) x)))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y))) (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y)))) (/.f64 (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64))) (*.f64 x x))) (+.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y))) x) #s(literal 1 binary64)) (-.f64 (log.f64 (+.f64 y #s(literal -1 binary64))) (log.f64 x)))) |
(- (+ 1 (* -1/3 (/ (* (pow (- 1 (/ y (- y 1))) 3) (pow (- y 1) 3)) (pow x 3)))) (+ (log (/ 1 (- y 1))) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (* (pow (- 1 (/ y (- y 1))) 2) (pow (- y 1) 2)) (pow x 2))) (/ (* (- 1 (/ y (- y 1))) (- y 1)) x))))) |
(+.f64 (-.f64 (+.f64 #s(literal 1 binary64) (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 y #s(literal -1 binary64)) (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64)))) (*.f64 x (*.f64 x x))) #s(literal -1/3 binary64)) (log.f64 (+.f64 y #s(literal -1 binary64))))) (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 y #s(literal -1 binary64)) (/.f64 (+.f64 y #s(literal -1 binary64)) x))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y))) (-.f64 #s(literal 1 binary64) y))) x)) |
(- 1 (+ (log (neg (/ 1 (- y 1)))) (* -1 (log (/ -1 x))))) |
(+.f64 (+.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 y))) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(- (+ 1 (* -1 (/ (* (+ 1 (* -1 (/ y (- y 1)))) (- y 1)) x))) (+ (log (neg (/ 1 (- y 1)))) (* -1 (log (/ -1 x))))) |
(+.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #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 (* -1 (/ y (- y 1)))) 2) (pow (- y 1) 2)) x)) (* -1 (* (+ 1 (* -1 (/ y (- y 1)))) (- y 1)))) x))) (+ (log (neg (/ 1 (- y 1)))) (* -1 (log (/ -1 x))))) |
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (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 y #s(literal -1 binary64)) (/.f64 (+.f64 y #s(literal -1 binary64)) x))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y))) (-.f64 #s(literal 1 binary64) y))) x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log1p.f64 (neg.f64 y))))) |
(- (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1/3 (/ (* (pow (+ 1 (* -1 (/ y (- y 1)))) 3) (pow (- y 1) 3)) x)) (* -1/2 (* (pow (+ 1 (* -1 (/ y (- y 1)))) 2) (pow (- y 1) 2)))) x)) (* -1 (* (+ 1 (* -1 (/ y (- y 1)))) (- y 1)))) x))) (+ (log (neg (/ 1 (- y 1)))) (* -1 (log (/ -1 x))))) |
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/3 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 y #s(literal -1 binary64)) (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64)))))) x) (*.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 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64)))))) x) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y))) (-.f64 #s(literal 1 binary64) y))) x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log1p.f64 (neg.f64 y))))) |
(- 1 (log (+ 1 (* -1 x)))) |
(-.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x))) |
(- (+ 1 (* y (- (/ x (+ 1 (* -1 x))) (/ 1 (+ 1 (* -1 x)))))) (log (+ 1 (* -1 x)))) |
(-.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 x))) |
(- (+ 1 (* y (- (+ (* -1/2 (* y (+ (* -1 (/ (pow (- 1 x) 2) (pow (+ 1 (* -1 x)) 2))) (* 2 (/ (- 1 x) (+ 1 (* -1 x))))))) (/ x (+ 1 (* -1 x)))) (/ 1 (+ 1 (* -1 x)))))) (log (+ 1 (* -1 x)))) |
(-.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (log1p.f64 (neg.f64 x))) |
(- (+ 1 (* y (- (+ (* y (- (* -1/6 (* y (+ (* -6 (/ (pow (- 1 x) 2) (pow (+ 1 (* -1 x)) 2))) (+ (* 2 (/ (pow (- 1 x) 3) (pow (+ 1 (* -1 x)) 3))) (* 6 (/ (- 1 x) (+ 1 (* -1 x)))))))) (* 1/2 (+ (* -1 (/ (pow (- 1 x) 2) (pow (+ 1 (* -1 x)) 2))) (* 2 (/ (- 1 x) (+ 1 (* -1 x)))))))) (/ x (+ 1 (* -1 x)))) (/ 1 (+ 1 (* -1 x)))))) (log (+ 1 (* -1 x)))) |
(-.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/3 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (log1p.f64 (neg.f64 x))) |
(- 1 (+ (log (- x 1)) (log (/ 1 y)))) |
(-.f64 (+.f64 #s(literal 1 binary64) (log.f64 y)) (log.f64 (+.f64 #s(literal -1 binary64) x))) |
(- (+ 1 (+ (* -1 (/ x (* y (- x 1)))) (/ 1 (* y (- x 1))))) (+ (log (- x 1)) (log (/ 1 y)))) |
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (-.f64 (log.f64 y) (log.f64 (+.f64 #s(literal -1 binary64) x)))) |
(- (+ 1 (* -1/2 (/ (+ (* -2 (/ (+ 1 (* -1 x)) (- x 1))) (* -1 (/ (pow (+ 1 (* -1 x)) 2) (pow (- x 1) 2)))) (pow y 2)))) (+ (log (- x 1)) (+ (log (/ 1 y)) (* -1 (/ (+ 1 (* -1 x)) (* y (- x 1))))))) |
(+.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 y y)) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (-.f64 (log.f64 y) (log.f64 (+.f64 #s(literal -1 binary64) x))))) |
(- (+ 1 (* -1/6 (/ (+ (* -6 (/ (+ 1 (* -1 x)) (- x 1))) (+ (* -6 (/ (pow (+ 1 (* -1 x)) 2) (pow (- x 1) 2))) (* -2 (/ (pow (+ 1 (* -1 x)) 3) (pow (- x 1) 3))))) (pow y 3)))) (+ (log (- x 1)) (+ (log (/ 1 y)) (+ (* -1 (/ (+ 1 (* -1 x)) (* y (- x 1)))) (* 1/2 (/ (+ (* -2 (/ (+ 1 (* -1 x)) (- x 1))) (* -1 (/ (pow (+ 1 (* -1 x)) 2) (pow (- x 1) 2)))) (pow y 2))))))) |
(+.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 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)) y)) y)) (+.f64 (log1p.f64 (neg.f64 x)) (neg.f64 (log.f64 (neg.f64 y))))) |
(log (- 1 (/ y (- y 1)))) |
(log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y))) |
(+ (log (- 1 (/ y (- y 1)))) (/ x (* (- 1 (/ y (- y 1))) (- y 1)))) |
(+.f64 (log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y))) (/.f64 x (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y)))))) |
(+ (log (- 1 (/ y (- y 1)))) (* x (+ (* -1/2 (/ x (* (pow (- 1 (/ y (- y 1))) 2) (pow (- y 1) 2)))) (/ 1 (* (- 1 (/ y (- y 1))) (- y 1)))))) |
(fma.f64 x (fma.f64 x (/.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 y #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) y)))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 y #s(literal -1 binary64)) (+.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 (- y 1)))) (* x (+ (* x (- (* 1/3 (/ x (* (pow (- 1 (/ y (- y 1))) 3) (pow (- y 1) 3)))) (* 1/2 (/ 1 (* (pow (- 1 (/ y (- y 1))) 2) (pow (- y 1) 2)))))) (/ 1 (* (- 1 (/ y (- y 1))) (- y 1)))))) |
(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 y #s(literal -1 binary64)) (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64))))))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (+.f64 #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 y #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) y))))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 y #s(literal -1 binary64)) (+.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))) (* -1 (log (/ 1 x)))) |
(-.f64 (log.f64 x) (log.f64 (+.f64 y #s(literal -1 binary64)))) |
(+ (log (/ 1 (- y 1))) (+ (* -1 (log (/ 1 x))) (/ (* (- 1 (/ y (- y 1))) (- y 1)) x))) |
(-.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y))) (/.f64 (+.f64 y #s(literal -1 binary64)) x) (log.f64 x)) (log.f64 (+.f64 y #s(literal -1 binary64)))) |
(+ (log (/ 1 (- y 1))) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (* (pow (- 1 (/ y (- y 1))) 2) (pow (- y 1) 2)) (pow x 2))) (/ (* (- 1 (/ y (- y 1))) (- y 1)) x)))) |
(+.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 y #s(literal -1 binary64)))) (/.f64 (fma.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 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64)))) (/.f64 #s(literal -1/2 binary64) x) (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y))))) x)) |
(+ (log (/ 1 (- y 1))) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (* (pow (- 1 (/ y (- y 1))) 2) (pow (- y 1) 2)) (pow x 2))) (+ (* 1/3 (/ (* (pow (- 1 (/ y (- y 1))) 3) (pow (- y 1) 3)) (pow x 3))) (/ (* (- 1 (/ y (- y 1))) (- y 1)) x))))) |
(+.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 y #s(literal -1 binary64)))) (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 y #s(literal -1 binary64)) (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64)))) (*.f64 x (*.f64 x x))) #s(literal 1/3 binary64)) (/.f64 (fma.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 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64)))) (/.f64 #s(literal -1/2 binary64) x) (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y))))) x))) |
(+ (log (neg (/ 1 (- y 1)))) (* -1 (log (/ -1 x)))) |
(-.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))) (log1p.f64 (neg.f64 y))) |
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(*.f64 (*.f64 x x) (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))) |
(* -1 (* (pow x 3) (+ 1/4 (+ (/ 1/2 (pow x 2)) (* 1/3 (/ 1 x)))))) |
(fma.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (neg.f64 (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x #s(literal -1/3 binary64)))) |
(* -1 (* (pow x 3) (+ 1/4 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/3) x))))) |
(neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (-.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 #s(literal -1/3 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x)))) |
-1/2 |
#s(literal -1/2 binary64) |
(- (* -1/3 x) 1/2) |
(fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64)) |
(- (* x (- (* -1/4 x) 1/3)) 1/2) |
(fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) |
(- (* x (- (* -1/4 x) 1/3)) 1/2) |
(fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) |
(* -1/4 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -1/4 binary64))) |
(* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 x))))) |
(*.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))) |
(* (pow x 2) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4)) |
(*.f64 (*.f64 x x) (-.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/2 binary64) x)) x))) |
(* (pow x 2) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4)) |
(*.f64 (*.f64 x x) (-.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/2 binary64) x)) x))) |
(* -1/4 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -1/4 binary64))) |
(* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 x))))) |
(*.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))) |
(* (pow x 2) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4)) |
(*.f64 (*.f64 x x) (-.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/2 binary64) x)) x))) |
(* (pow x 2) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4)) |
(*.f64 (*.f64 x x) (-.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/2 binary64) x)) x))) |
(- 1 (+ (log x) (log (/ 1 (- y 1))))) |
(+.f64 (-.f64 #s(literal 1 binary64) (log.f64 x)) (log.f64 (+.f64 y #s(literal -1 binary64)))) |
(- 1 (+ (log x) (log (/ 1 (- y 1))))) |
(+.f64 (-.f64 #s(literal 1 binary64) (log.f64 x)) (log.f64 (+.f64 y #s(literal -1 binary64)))) |
(- 1 (+ (log x) (log (/ 1 (- y 1))))) |
(+.f64 (-.f64 #s(literal 1 binary64) (log.f64 x)) (log.f64 (+.f64 y #s(literal -1 binary64)))) |
(- 1 (+ (log x) (log (/ 1 (- y 1))))) |
(+.f64 (-.f64 #s(literal 1 binary64) (log.f64 x)) (log.f64 (+.f64 y #s(literal -1 binary64)))) |
(- 1 (+ (log (/ 1 (- y 1))) (* -1 (log (/ 1 x))))) |
(+.f64 (-.f64 #s(literal 1 binary64) (log.f64 x)) (log.f64 (+.f64 y #s(literal -1 binary64)))) |
(- 1 (+ (log (/ 1 (- y 1))) (* -1 (log (/ 1 x))))) |
(+.f64 (-.f64 #s(literal 1 binary64) (log.f64 x)) (log.f64 (+.f64 y #s(literal -1 binary64)))) |
(- 1 (+ (log (/ 1 (- y 1))) (* -1 (log (/ 1 x))))) |
(+.f64 (-.f64 #s(literal 1 binary64) (log.f64 x)) (log.f64 (+.f64 y #s(literal -1 binary64)))) |
(- 1 (+ (log (/ 1 (- y 1))) (* -1 (log (/ 1 x))))) |
(+.f64 (-.f64 #s(literal 1 binary64) (log.f64 x)) (log.f64 (+.f64 y #s(literal -1 binary64)))) |
(- 1 (+ (log (/ -1 (- y 1))) (* -1 (log (/ -1 x))))) |
(+.f64 (+.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 y))) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(- 1 (+ (log (/ -1 (- y 1))) (* -1 (log (/ -1 x))))) |
(+.f64 (+.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 y))) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(- 1 (+ (log (/ -1 (- y 1))) (* -1 (log (/ -1 x))))) |
(+.f64 (+.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 y))) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(- 1 (+ (log (/ -1 (- y 1))) (* -1 (log (/ -1 x))))) |
(+.f64 (+.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 y))) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(- 1 (log (* -1 x))) |
(-.f64 #s(literal 1 binary64) (log.f64 (neg.f64 x))) |
(- (+ 1 (* -1 y)) (log (* -1 x))) |
(-.f64 (-.f64 #s(literal 1 binary64) y) (log.f64 (neg.f64 x))) |
(- (+ 1 (* y (- (* -1/2 y) 1))) (log (* -1 x))) |
(-.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (log.f64 (neg.f64 x))) |
(- (+ 1 (* y (- (* y (- (* -1/3 y) 1/2)) 1))) (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) (log.f64 (neg.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)) (/ 1 y)))) |
(+.f64 (+.f64 #s(literal 1 binary64) (-.f64 (log.f64 y) (log.f64 x))) (/.f64 #s(literal -1 binary64) y)) |
(- (+ 1 (* -1 (/ (+ 1 (* 1/2 (/ 1 y))) y))) (+ (log x) (log (/ 1 y)))) |
(+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) y)) y) (+.f64 #s(literal 1 binary64) (-.f64 (log.f64 y) (log.f64 x)))) |
(- (+ 1 (* -1 (/ (+ 1/2 (* 1/3 (/ 1 y))) (pow y 2)))) (+ (log x) (+ (log (/ 1 y)) (/ 1 y)))) |
(+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) y)) (*.f64 y y))) (+.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 (log.f64 y) (log.f64 x)))) |
(- 1 (+ (log (* -1 x)) (log (/ -1 y)))) |
(-.f64 (-.f64 #s(literal 1 binary64) (log.f64 (neg.f64 x))) (neg.f64 (log.f64 (neg.f64 y)))) |
(- 1 (+ (log (* -1 x)) (+ (log (/ -1 y)) (/ 1 y)))) |
(+.f64 (-.f64 #s(literal 1 binary64) (log.f64 (neg.f64 x))) (-.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (log.f64 (neg.f64 y))))) |
(- (+ 1 (* -1 (/ (+ 1 (* 1/2 (/ 1 y))) y))) (+ (log (* -1 x)) (log (/ -1 y)))) |
(-.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) y)) y)) (log.f64 (neg.f64 x))) (neg.f64 (log.f64 (neg.f64 y)))) |
(- (+ 1 (* -1 (/ (+ 1 (+ (/ 1/3 (pow y 2)) (* 1/2 (/ 1 y)))) y))) (+ (log (* -1 x)) (log (/ -1 y)))) |
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) y)) (+.f64 (neg.f64 (log.f64 (neg.f64 y))) (log.f64 (neg.f64 x)))) |
(+ (log x) (log (/ 1 (- y 1)))) |
(-.f64 (log.f64 x) (log.f64 (+.f64 y #s(literal -1 binary64)))) |
(+ (log x) (log (/ 1 (- y 1)))) |
(-.f64 (log.f64 x) (log.f64 (+.f64 y #s(literal -1 binary64)))) |
(+ (log x) (log (/ 1 (- y 1)))) |
(-.f64 (log.f64 x) (log.f64 (+.f64 y #s(literal -1 binary64)))) |
(+ (log x) (log (/ 1 (- y 1)))) |
(-.f64 (log.f64 x) (log.f64 (+.f64 y #s(literal -1 binary64)))) |
(+ (log (/ 1 (- y 1))) (* -1 (log (/ 1 x)))) |
(-.f64 (log.f64 x) (log.f64 (+.f64 y #s(literal -1 binary64)))) |
(+ (log (/ 1 (- y 1))) (* -1 (log (/ 1 x)))) |
(-.f64 (log.f64 x) (log.f64 (+.f64 y #s(literal -1 binary64)))) |
(+ (log (/ 1 (- y 1))) (* -1 (log (/ 1 x)))) |
(-.f64 (log.f64 x) (log.f64 (+.f64 y #s(literal -1 binary64)))) |
(+ (log (/ 1 (- y 1))) (* -1 (log (/ 1 x)))) |
(-.f64 (log.f64 x) (log.f64 (+.f64 y #s(literal -1 binary64)))) |
(+ (log (/ -1 (- y 1))) (* -1 (log (/ -1 x)))) |
(-.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))) (log1p.f64 (neg.f64 y))) |
(+ (log (/ -1 (- y 1))) (* -1 (log (/ -1 x)))) |
(-.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))) (log1p.f64 (neg.f64 y))) |
(+ (log (/ -1 (- y 1))) (* -1 (log (/ -1 x)))) |
(-.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))) (log1p.f64 (neg.f64 y))) |
(+ (log (/ -1 (- y 1))) (* -1 (log (/ -1 x)))) |
(-.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))) (log1p.f64 (neg.f64 y))) |
(log (* -1 x)) |
(log.f64 (neg.f64 x)) |
(+ y (log (* -1 x))) |
(+.f64 y (log.f64 (neg.f64 x))) |
(+ (log (* -1 x)) (* y (+ 1 (* 1/2 y)))) |
(fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal 1 binary64)) (log.f64 (neg.f64 x))) |
(+ (log (* -1 x)) (* y (+ 1 (* y (+ 1/2 (* 1/3 y)))))) |
(fma.f64 y (fma.f64 y (fma.f64 y #s(literal 1/3 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (log.f64 (neg.f64 x))) |
(+ (log x) (log (/ 1 y))) |
(-.f64 (log.f64 x) (log.f64 y)) |
(+ (log x) (+ (log (/ 1 y)) (/ 1 y))) |
(-.f64 (log.f64 x) (+.f64 (/.f64 #s(literal -1 binary64) y) (log.f64 y))) |
(+ (log x) (+ (log (/ 1 y)) (+ (/ 1/2 (pow y 2)) (/ 1 y)))) |
(+.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (log.f64 y)) (log.f64 x)) |
(+ (log x) (+ (log (/ 1 y)) (+ (/ 1/2 (pow y 2)) (+ (/ 1 y) (* 1/3 (/ 1 (pow y 3))))))) |
(+.f64 (log.f64 x) (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (log.f64 y)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 y 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)) (/ 1 y))) |
(+.f64 (neg.f64 (log.f64 (neg.f64 y))) (+.f64 (log.f64 (neg.f64 x)) (/.f64 #s(literal 1 binary64) y))) |
(+ (log (* -1 x)) (+ (log (/ -1 y)) (+ (/ 1/2 (pow y 2)) (/ 1 y)))) |
(+.f64 (neg.f64 (log.f64 (neg.f64 y))) (+.f64 (log.f64 (neg.f64 x)) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))))) |
(+ (log (* -1 x)) (+ (log (/ -1 y)) (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 y))) y)) 1) y)))) |
(-.f64 (+.f64 (neg.f64 (log.f64 (neg.f64 y))) (log.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)) |
(/ x (- y 1)) |
(/.f64 x (+.f64 y #s(literal -1 binary64))) |
(/ x (- y 1)) |
(/.f64 x (+.f64 y #s(literal -1 binary64))) |
(/ x (- y 1)) |
(/.f64 x (+.f64 y #s(literal -1 binary64))) |
(/ x (- y 1)) |
(/.f64 x (+.f64 y #s(literal -1 binary64))) |
(/ x (- y 1)) |
(/.f64 x (+.f64 y #s(literal -1 binary64))) |
(/ x (- y 1)) |
(/.f64 x (+.f64 y #s(literal -1 binary64))) |
(/ x (- y 1)) |
(/.f64 x (+.f64 y #s(literal -1 binary64))) |
(/ x (- y 1)) |
(/.f64 x (+.f64 y #s(literal -1 binary64))) |
(/ x (- y 1)) |
(/.f64 x (+.f64 y #s(literal -1 binary64))) |
(/ x (- y 1)) |
(/.f64 x (+.f64 y #s(literal -1 binary64))) |
(/ x (- y 1)) |
(/.f64 x (+.f64 y #s(literal -1 binary64))) |
(/ x (- y 1)) |
(/.f64 x (+.f64 y #s(literal -1 binary64))) |
(* -1 x) |
(neg.f64 x) |
(+ (* -1 x) (* -1 (* x y))) |
(neg.f64 (fma.f64 y x x)) |
(+ (* -1 x) (* y (- (* -1 (* x y)) x))) |
(fma.f64 (neg.f64 y) (fma.f64 y x x) (neg.f64 x)) |
(+ (* -1 x) (* y (- (* y (- (* -1 (* x y)) x)) x))) |
(fma.f64 y (fma.f64 (neg.f64 y) (fma.f64 y x x) (neg.f64 x)) (neg.f64 x)) |
(/ 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 (/.f64 x 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 #s(literal -1 binary64)) |
(* y (- 1 (/ 1 y))) |
(+.f64 y #s(literal -1 binary64)) |
(* y (- 1 (/ 1 y))) |
(+.f64 y #s(literal -1 binary64)) |
y |
(* -1 (* y (- (/ 1 y) 1))) |
(+.f64 y #s(literal -1 binary64)) |
(* -1 (* y (- (/ 1 y) 1))) |
(+.f64 y #s(literal -1 binary64)) |
(* -1 (* y (- (/ 1 y) 1))) |
(+.f64 y #s(literal -1 binary64)) |
-1/3 |
#s(literal -1/3 binary64) |
(- (* -1/4 x) 1/3) |
(fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) |
(- (* -1/4 x) 1/3) |
(fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) |
(- (* -1/4 x) 1/3) |
(fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) |
(* -1/4 x) |
(*.f64 x #s(literal -1/4 binary64)) |
(* -1 (* x (+ 1/4 (* 1/3 (/ 1 x))))) |
(fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) |
(* -1 (* x (+ 1/4 (* 1/3 (/ 1 x))))) |
(fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) |
(* -1 (* x (+ 1/4 (* 1/3 (/ 1 x))))) |
(fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) |
(* -1/4 x) |
(*.f64 x #s(literal -1/4 binary64)) |
(* -1 (* x (+ 1/4 (* 1/3 (/ 1 x))))) |
(fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) |
(* -1 (* x (+ 1/4 (* 1/3 (/ 1 x))))) |
(fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) |
(* -1 (* x (+ 1/4 (* 1/3 (/ 1 x))))) |
(fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) |
Compiled 19 792 to 2 565 computations (87% saved)
25 alts after pruning (17 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 766 | 2 | 768 |
| Fresh | 1 | 15 | 16 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 3 | 3 |
| Total | 767 | 25 | 792 |
| Status | Accuracy | Program |
|---|---|---|
| 38.0% | (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) | |
| 41.3% | (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)) | |
| ▶ | 40.8% | (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
| ✓ | 59.2% | (-.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))) |
| ✓ | 60.1% | (-.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 x))) |
| 23.6% | (-.f64 (+.f64 #s(literal 1 binary64) x) (neg.f64 (log.f64 (neg.f64 y)))) | |
| ✓ | 40.9% | (-.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)))) |
| 25.8% | (-.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (neg.f64 y)))) | |
| ▶ | 71.5% | (-.f64 #s(literal 1 binary64) (log1p.f64 (fma.f64 x (/.f64 y (fma.f64 y (neg.f64 x) x)) (/.f64 x (+.f64 y #s(literal -1 binary64)))))) |
| ✓ | 71.3% | (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) |
| 39.6% | (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)))) | |
| ✓ | 61.2% | (-.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x))) |
| 41.1% | (-.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))) | |
| 40.0% | (-.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 x #s(literal -1 binary64)) y)) y))) | |
| ✓ | 41.7% | (-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))))) |
| 20.9% | (-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x y))) | |
| ▶ | 25.6% | (-.f64 #s(literal 1 binary64) (log.f64 (neg.f64 x))) |
| 39.0% | (-.f64 #s(literal 1 binary64) y) | |
| ▶ | 41.7% | (+.f64 (log.f64 (/.f64 y (+.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64)) |
| 39.8% | (+.f64 #s(literal 1 binary64) (-.f64 x y)) | |
| 41.4% | (+.f64 #s(literal 1 binary64) x) | |
| ✓ | 2.8% | (*.f64 y (*.f64 y #s(literal -1/2 binary64))) |
| 3.1% | (neg.f64 (fma.f64 y (*.f64 y #s(literal 1/2 binary64)) y)) | |
| ▶ | 4.3% | (neg.f64 y) |
| ✓ | 41.1% | #s(literal 1 binary64) |
Compiled 417 to 300 computations (28.1% saved)
| 1× | egg-herbie |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (+.f64 x #s(literal -1 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 y (+.f64 x #s(literal -1 binary64))) |
| ✓ | cost-diff | 0 | (log.f64 (/.f64 y (+.f64 x #s(literal -1 binary64)))) |
| ✓ | cost-diff | 0 | (+.f64 (log.f64 (/.f64 y (+.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64)) |
| ✓ | 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 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 | (neg.f64 y) |
| ✓ | cost-diff | 0 | (/.f64 y (fma.f64 y (neg.f64 x) x)) |
| ✓ | cost-diff | 0 | (log1p.f64 (fma.f64 x (/.f64 y (fma.f64 y (neg.f64 x) x)) (/.f64 x (+.f64 y #s(literal -1 binary64))))) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 1 binary64) (log1p.f64 (fma.f64 x (/.f64 y (fma.f64 y (neg.f64 x) x)) (/.f64 x (+.f64 y #s(literal -1 binary64)))))) |
| ✓ | cost-diff | 1088 | (fma.f64 x (/.f64 y (fma.f64 y (neg.f64 x) x)) (/.f64 x (+.f64 y #s(literal -1 binary64)))) |
| 5 332× | accelerator-lowering-fma.f32 |
| 5 332× | accelerator-lowering-fma.f64 |
| 3 046× | *-lowering-*.f32 |
| 3 046× | *-lowering-*.f64 |
| 1 308× | div-sub |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 142 |
| 1 | 61 | 137 |
| 2 | 100 | 137 |
| 3 | 180 | 137 |
| 4 | 316 | 125 |
| 5 | 641 | 125 |
| 6 | 1400 | 119 |
| 7 | 3417 | 119 |
| 8 | 6123 | 119 |
| 0 | 8017 | 112 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- 1 (log (+ 1 (+ (* x (/ y (+ (* y (neg x)) x))) (/ x (+ y -1)))))) |
1 |
(log (+ 1 (+ (* x (/ y (+ (* y (neg x)) x))) (/ x (+ y -1))))) |
(+ (* x (/ y (+ (* y (neg x)) x))) (/ x (+ y -1))) |
x |
(/ y (+ (* y (neg x)) x)) |
y |
(+ (* y (neg x)) x) |
(neg x) |
(/ x (+ y -1)) |
(+ y -1) |
-1 |
(neg y) |
y |
(+ (* x (+ (* x 1/2) 1)) 1) |
x |
(+ (* x 1/2) 1) |
1/2 |
1 |
(- 1 (log (neg x))) |
1 |
(log (neg x)) |
(neg x) |
x |
(+ (log (/ y (+ x -1))) 1) |
(log (/ y (+ x -1))) |
(/ y (+ x -1)) |
y |
(+ x -1) |
x |
-1 |
1 |
| Outputs |
|---|
(- 1 (log (+ 1 (+ (* x (/ y (+ (* y (neg x)) x))) (/ x (+ y -1)))))) |
(-.f64 #s(literal 1 binary64) (log1p.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (-.f64 x y)))) |
1 |
#s(literal 1 binary64) |
(log (+ 1 (+ (* x (/ y (+ (* y (neg x)) x))) (/ x (+ y -1))))) |
(log1p.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (-.f64 x y))) |
(+ (* x (/ y (+ (* y (neg x)) x))) (/ x (+ y -1))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (-.f64 x y)) |
x |
(/ y (+ (* y (neg x)) x)) |
(/.f64 y (-.f64 x (*.f64 x y))) |
y |
(+ (* y (neg x)) x) |
(-.f64 x (*.f64 x y)) |
(neg x) |
(neg.f64 x) |
(/ x (+ y -1)) |
(/.f64 x (+.f64 y #s(literal -1 binary64))) |
(+ y -1) |
(+.f64 y #s(literal -1 binary64)) |
-1 |
#s(literal -1 binary64) |
(neg y) |
(neg.f64 y) |
y |
(+ (* 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 (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 |
(+ (log (/ y (+ x -1))) 1) |
(+.f64 #s(literal 1 binary64) (log.f64 (/.f64 y (+.f64 x #s(literal -1 binary64))))) |
(log (/ y (+ x -1))) |
(log.f64 (/.f64 y (+.f64 x #s(literal -1 binary64)))) |
(/ y (+ x -1)) |
(/.f64 y (+.f64 x #s(literal -1 binary64))) |
y |
(+ x -1) |
(+.f64 x #s(literal -1 binary64)) |
x |
-1 |
#s(literal -1 binary64) |
1 |
#s(literal 1 binary64) |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (+.f64 x #s(literal -1 binary64)) |
| ✓ | accuracy | 100.0% | (+.f64 (log.f64 (/.f64 y (+.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (/.f64 y (+.f64 x #s(literal -1 binary64))) |
| ✓ | accuracy | 95.6% | (log.f64 (/.f64 y (+.f64 x #s(literal -1 binary64)))) |
| ✓ | accuracy | 100.0% | (neg.f64 x) |
| ✓ | accuracy | 100.0% | (log.f64 (neg.f64 x)) |
| ✓ | accuracy | 100.0% | (-.f64 #s(literal 1 binary64) (log.f64 (neg.f64 x))) |
| ✓ | 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% | (neg.f64 y) |
| ✓ | accuracy | 100.0% | (/.f64 x (+.f64 y #s(literal -1 binary64))) |
| ✓ | accuracy | 99.9% | (fma.f64 x (/.f64 y (fma.f64 y (neg.f64 x) x)) (/.f64 x (+.f64 y #s(literal -1 binary64)))) |
| ✓ | accuracy | 96.6% | (/.f64 y (fma.f64 y (neg.f64 x) x)) |
| ✓ | accuracy | 83.7% | (log1p.f64 (fma.f64 x (/.f64 y (fma.f64 y (neg.f64 x) x)) (/.f64 x (+.f64 y #s(literal -1 binary64))))) |
| 62.0ms | 3× | 2 | valid |
| 28.0ms | 155× | 0 | invalid |
| 15.0ms | 38× | 1 | valid |
| 11.0ms | 60× | 0 | valid |
Compiled 129 to 28 computations (78.3% saved)
ival-log1p: 64.0ms (65.1% of total)ival-add: 8.0ms (8.1% of total)ival-mult: 7.0ms (7.1% of total)ival-div: 6.0ms (6.1% of total)ival-log: 5.0ms (5.1% of total)ival-sub: 3.0ms (3.1% of total)adjust: 2.0ms (2% of total)ival-neg: 2.0ms (2% of total)ival-assert: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (+ (* x (/ y (+ (* y (neg x)) x))) (/ x (+ y -1)))> |
#<alt (- 1 (log (+ 1 (+ (* x (/ y (+ (* y (neg x)) x))) (/ x (+ y -1))))))> |
#<alt (log (+ 1 (+ (* x (/ y (+ (* y (neg x)) x))) (/ x (+ y -1)))))> |
#<alt (/ y (+ (* y (neg x)) x))> |
#<alt (neg y)> |
#<alt (+ (* x (+ (* x 1/2) 1)) 1)> |
#<alt (+ (* x 1/2) 1)> |
#<alt (- 1 (log (neg x)))> |
#<alt (log (neg x))> |
#<alt (neg x)> |
#<alt (+ (log (/ y (+ x -1))) 1)> |
#<alt (log (/ y (+ x -1)))> |
#<alt (/ y (+ x -1))> |
#<alt (+ x -1)> |
#<alt (/ x (+ y -1))> |
| Outputs |
|---|
#<alt (/ y (+ 1 (* -1 y)))> |
#<alt (+ (/ x (- y 1)) (/ y (+ 1 (* -1 y))))> |
#<alt (+ (/ x (- y 1)) (/ y (+ 1 (* -1 y))))> |
#<alt (+ (/ x (- y 1)) (/ y (+ 1 (* -1 y))))> |
#<alt (/ x (- y 1))> |
#<alt (* x (+ (/ 1 (- y 1)) (/ y (* x (+ 1 (* -1 y))))))> |
#<alt (* x (+ (/ 1 (- y 1)) (/ y (* x (+ 1 (* -1 y))))))> |
#<alt (* x (+ (/ 1 (- y 1)) (/ y (* x (+ 1 (* -1 y))))))> |
#<alt (/ x (- y 1))> |
#<alt (* -1 (* x (- (/ y (* x (- y 1))) (/ 1 (- y 1)))))> |
#<alt (* -1 (* x (- (/ y (* x (- y 1))) (/ 1 (- y 1)))))> |
#<alt (* -1 (* x (- (/ y (* x (- y 1))) (/ 1 (- y 1)))))> |
#<alt (* -1 x)> |
#<alt (+ (* -1 x) (* y (- 1 x)))> |
#<alt (+ (* -1 x) (* y (- (+ 1 (* y (- 1 x))) x)))> |
#<alt (+ (* -1 x) (* y (- (+ 1 (* y (- (+ 1 (* y (- 1 x))) x))) x)))> |
#<alt -1> |
#<alt (- (/ x y) (+ 1 (/ 1 y)))> |
#<alt (- (+ (* -1 (/ (+ 1 (* -1 x)) (pow y 2))) (/ x y)) (+ 1 (/ 1 y)))> |
#<alt (- (+ (* -1 (/ (+ 1 (* -1 x)) (pow y 3))) (/ x y)) (+ 1 (+ (* -1 (/ x (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 2))))))> |
#<alt -1> |
#<alt (- (* -1 (/ (+ 1 (* -1 x)) y)) 1)> |
#<alt (- (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- x 1) y)))) y)) 1)> |
#<alt (- (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- (+ x (* -1 (/ (+ 1 (* -1 x)) y))) 1) y)))) y)) 1)> |
#<alt (- 1 (log (+ 1 (/ y (+ 1 (* -1 y))))))> |
#<alt (- (+ 1 (* -1 (/ x (* (+ 1 (/ y (+ 1 (* -1 y)))) (- y 1))))) (log (+ 1 (/ y (+ 1 (* -1 y))))))> |
#<alt (- (+ 1 (* x (- (* 1/2 (/ x (* (pow (+ 1 (/ y (+ 1 (* -1 y)))) 2) (pow (- y 1) 2)))) (/ 1 (* (+ 1 (/ y (+ 1 (* -1 y)))) (- y 1)))))) (log (+ 1 (/ y (+ 1 (* -1 y))))))> |
#<alt (- (+ 1 (* x (- (* x (+ (* -1/3 (/ x (* (pow (+ 1 (/ y (+ 1 (* -1 y)))) 3) (pow (- y 1) 3)))) (* 1/2 (/ 1 (* (pow (+ 1 (/ y (+ 1 (* -1 y)))) 2) (pow (- y 1) 2)))))) (/ 1 (* (+ 1 (/ y (+ 1 (* -1 y)))) (- y 1)))))) (log (+ 1 (/ y (+ 1 (* -1 y))))))> |
#<alt (- 1 (+ (log (/ 1 (- y 1))) (* -1 (log (/ 1 x)))))> |
#<alt (- (+ 1 (* -1 (/ (* (+ 1 (/ y (+ 1 (* -1 y)))) (- y 1)) x))) (+ (log (/ 1 (- y 1))) (* -1 (log (/ 1 x)))))> |
#<alt (- (+ 1 (* 1/2 (/ (* (pow (+ 1 (/ y (+ 1 (* -1 y)))) 2) (pow (- y 1) 2)) (pow x 2)))) (+ (log (/ 1 (- y 1))) (+ (* -1 (log (/ 1 x))) (/ (* (+ 1 (/ y (+ 1 (* -1 y)))) (- y 1)) x))))> |
#<alt (- (+ 1 (* -1/3 (/ (* (pow (+ 1 (/ y (+ 1 (* -1 y)))) 3) (pow (- y 1) 3)) (pow x 3)))) (+ (log (/ 1 (- y 1))) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (* (pow (+ 1 (/ y (+ 1 (* -1 y)))) 2) (pow (- y 1) 2)) (pow x 2))) (/ (* (+ 1 (/ y (+ 1 (* -1 y)))) (- y 1)) x)))))> |
#<alt (- 1 (+ (log (neg (/ 1 (- y 1)))) (* -1 (log (/ -1 x)))))> |
#<alt (- (+ 1 (* -1 (/ (* (+ 1 (* -1 (/ y (- y 1)))) (- y 1)) x))) (+ (log (neg (/ 1 (- y 1)))) (* -1 (log (/ -1 x)))))> |
#<alt (- (+ 1 (* -1 (/ (- (* -1/2 (/ (* (pow (+ 1 (* -1 (/ y (- y 1)))) 2) (pow (- y 1) 2)) x)) (* -1 (* (+ 1 (* -1 (/ y (- y 1)))) (- y 1)))) x))) (+ (log (neg (/ 1 (- y 1)))) (* -1 (log (/ -1 x)))))> |
#<alt (- (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1/3 (/ (* (pow (+ 1 (* -1 (/ y (- y 1)))) 3) (pow (- y 1) 3)) x)) (* -1/2 (* (pow (+ 1 (* -1 (/ y (- y 1)))) 2) (pow (- y 1) 2)))) x)) (* -1 (* (+ 1 (* -1 (/ y (- y 1)))) (- y 1)))) x))) (+ (log (neg (/ 1 (- y 1)))) (* -1 (log (/ -1 x)))))> |
#<alt (- 1 (log (+ 1 (* -1 x))))> |
#<alt (- (+ 1 (* y (- (/ x (+ 1 (* -1 x))) (/ 1 (+ 1 (* -1 x)))))) (log (+ 1 (* -1 x))))> |
#<alt (- (+ 1 (* y (- (+ (* -1/2 (* y (+ (* -1 (/ (pow (- 1 x) 2) (pow (+ 1 (* -1 x)) 2))) (* 2 (/ (- 1 x) (+ 1 (* -1 x))))))) (/ x (+ 1 (* -1 x)))) (/ 1 (+ 1 (* -1 x)))))) (log (+ 1 (* -1 x))))> |
#<alt (- (+ 1 (* y (- (+ (* y (- (* -1/6 (* y (+ (* -6 (/ (pow (- 1 x) 2) (pow (+ 1 (* -1 x)) 2))) (+ (* 2 (/ (pow (- 1 x) 3) (pow (+ 1 (* -1 x)) 3))) (* 6 (/ (- 1 x) (+ 1 (* -1 x)))))))) (* 1/2 (+ (* -1 (/ (pow (- 1 x) 2) (pow (+ 1 (* -1 x)) 2))) (* 2 (/ (- 1 x) (+ 1 (* -1 x)))))))) (/ x (+ 1 (* -1 x)))) (/ 1 (+ 1 (* -1 x)))))) (log (+ 1 (* -1 x))))> |
#<alt (- 1 (+ (log (- x 1)) (log (/ 1 y))))> |
#<alt (- (+ 1 (+ (* -1 (/ x (* y (- x 1)))) (/ 1 (* y (- x 1))))) (+ (log (- x 1)) (log (/ 1 y))))> |
#<alt (- (+ 1 (* -1/2 (/ (+ (* -2 (/ (+ 1 (* -1 x)) (- x 1))) (* -1 (/ (pow (+ 1 (* -1 x)) 2) (pow (- x 1) 2)))) (pow y 2)))) (+ (log (- x 1)) (+ (log (/ 1 y)) (* -1 (/ (+ 1 (* -1 x)) (* y (- x 1)))))))> |
#<alt (- (+ 1 (* -1/6 (/ (+ (* -6 (/ (+ 1 (* -1 x)) (- x 1))) (+ (* -6 (/ (pow (+ 1 (* -1 x)) 2) (pow (- x 1) 2))) (* -2 (/ (pow (+ 1 (* -1 x)) 3) (pow (- x 1) 3))))) (pow y 3)))) (+ (log (- x 1)) (+ (log (/ 1 y)) (+ (* -1 (/ (+ 1 (* -1 x)) (* y (- x 1)))) (* 1/2 (/ (+ (* -2 (/ (+ 1 (* -1 x)) (- x 1))) (* -1 (/ (pow (+ 1 (* -1 x)) 2) (pow (- x 1) 2)))) (pow y 2)))))))> |
#<alt (- 1 (+ (log (+ 1 (* -1 x))) (log (/ -1 y))))> |
#<alt (- (+ 1 (* -1 (/ (- (/ 1 (+ 1 (* -1 x))) (/ x (+ 1 (* -1 x)))) y))) (+ (log (+ 1 (* -1 x))) (log (/ -1 y))))> |
#<alt (- (+ 1 (* -1 (/ (- (+ (* 1/2 (/ (+ 2 (* -1 (/ (pow (- x 1) 2) (pow (+ 1 (* -1 x)) 2)))) y)) (/ 1 (+ 1 (* -1 x)))) (/ x (+ 1 (* -1 x)))) y))) (+ (log (+ 1 (* -1 x))) (log (/ -1 y))))> |
#<alt (- (+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* 1/6 (/ (+ (* -6 (/ (- x 1) (+ 1 (* -1 x)))) (+ (* 2 (/ (pow (- x 1) 3) (pow (+ 1 (* -1 x)) 3))) (* 6 (/ (- x 1) (+ 1 (* -1 x)))))) y)) (* 1/2 (+ 2 (* -1 (/ (pow (- x 1) 2) (pow (+ 1 (* -1 x)) 2)))))) y)) (/ 1 (+ 1 (* -1 x)))) (/ x (+ 1 (* -1 x)))) y))) (+ (log (+ 1 (* -1 x))) (log (/ -1 y))))> |
#<alt (log (+ 1 (/ y (+ 1 (* -1 y)))))> |
#<alt (+ (log (+ 1 (/ y (+ 1 (* -1 y))))) (/ x (* (+ 1 (/ y (+ 1 (* -1 y)))) (- y 1))))> |
#<alt (+ (log (+ 1 (/ y (+ 1 (* -1 y))))) (* x (+ (* -1/2 (/ x (* (pow (+ 1 (/ y (+ 1 (* -1 y)))) 2) (pow (- y 1) 2)))) (/ 1 (* (+ 1 (/ y (+ 1 (* -1 y)))) (- y 1))))))> |
#<alt (+ (log (+ 1 (/ y (+ 1 (* -1 y))))) (* x (+ (* x (- (* 1/3 (/ x (* (pow (+ 1 (/ y (+ 1 (* -1 y)))) 3) (pow (- y 1) 3)))) (* 1/2 (/ 1 (* (pow (+ 1 (/ y (+ 1 (* -1 y)))) 2) (pow (- y 1) 2)))))) (/ 1 (* (+ 1 (/ y (+ 1 (* -1 y)))) (- y 1))))))> |
#<alt (+ (log (/ 1 (- y 1))) (* -1 (log (/ 1 x))))> |
#<alt (+ (log (/ 1 (- y 1))) (+ (* -1 (log (/ 1 x))) (/ (* (+ 1 (/ y (+ 1 (* -1 y)))) (- y 1)) x)))> |
#<alt (+ (log (/ 1 (- y 1))) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (* (pow (+ 1 (/ y (+ 1 (* -1 y)))) 2) (pow (- y 1) 2)) (pow x 2))) (/ (* (+ 1 (/ y (+ 1 (* -1 y)))) (- y 1)) x))))> |
#<alt (+ (log (/ 1 (- y 1))) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (* (pow (+ 1 (/ y (+ 1 (* -1 y)))) 2) (pow (- y 1) 2)) (pow x 2))) (+ (* 1/3 (/ (* (pow (+ 1 (/ y (+ 1 (* -1 y)))) 3) (pow (- y 1) 3)) (pow x 3))) (/ (* (+ 1 (/ y (+ 1 (* -1 y)))) (- y 1)) x)))))> |
#<alt (+ (log (neg (/ 1 (- y 1)))) (* -1 (log (/ -1 x))))> |
#<alt (+ (log (neg (/ 1 (- y 1)))) (+ (* -1 (log (/ -1 x))) (/ (* (+ 1 (* -1 (/ y (- y 1)))) (- y 1)) x)))> |
#<alt (+ (log (neg (/ 1 (- y 1)))) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 (* (+ 1 (* -1 (/ y (- y 1)))) (- y 1))) (* 1/2 (/ (* (pow (+ 1 (* -1 (/ y (- y 1)))) 2) (pow (- y 1) 2)) x))) x))))> |
#<alt (+ (log (neg (/ 1 (- y 1)))) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 (* (+ 1 (* -1 (/ y (- y 1)))) (- y 1))) (* -1 (/ (+ (* -1/2 (* (pow (+ 1 (* -1 (/ y (- y 1)))) 2) (pow (- y 1) 2))) (* 1/3 (/ (* (pow (+ 1 (* -1 (/ y (- y 1)))) 3) (pow (- y 1) 3)) x))) x))) x))))> |
#<alt (log (+ 1 (* -1 x)))> |
#<alt (+ (log (+ 1 (* -1 x))) (* y (- (/ 1 (+ 1 (* -1 x))) (/ x (+ 1 (* -1 x))))))> |
#<alt (+ (log (+ 1 (* -1 x))) (* y (- (+ (* 1/2 (* y (+ (* -1 (/ (pow (- 1 x) 2) (pow (+ 1 (* -1 x)) 2))) (* 2 (/ (- 1 x) (+ 1 (* -1 x))))))) (/ 1 (+ 1 (* -1 x)))) (/ x (+ 1 (* -1 x))))))> |
#<alt (+ (log (+ 1 (* -1 x))) (* y (- (+ (* y (+ (* 1/6 (* y (+ (* -6 (/ (pow (- 1 x) 2) (pow (+ 1 (* -1 x)) 2))) (+ (* 2 (/ (pow (- 1 x) 3) (pow (+ 1 (* -1 x)) 3))) (* 6 (/ (- 1 x) (+ 1 (* -1 x)))))))) (* 1/2 (+ (* -1 (/ (pow (- 1 x) 2) (pow (+ 1 (* -1 x)) 2))) (* 2 (/ (- 1 x) (+ 1 (* -1 x)))))))) (/ 1 (+ 1 (* -1 x)))) (/ x (+ 1 (* -1 x))))))> |
#<alt (+ (log (- x 1)) (log (/ 1 y)))> |
#<alt (+ (log (- x 1)) (+ (log (/ 1 y)) (* -1 (/ (+ 1 (* -1 x)) (* y (- x 1))))))> |
#<alt (+ (log (- x 1)) (+ (log (/ 1 y)) (+ (* -1 (/ (+ 1 (* -1 x)) (* y (- x 1)))) (* 1/2 (/ (+ (* -2 (/ (+ 1 (* -1 x)) (- x 1))) (* -1 (/ (pow (+ 1 (* -1 x)) 2) (pow (- x 1) 2)))) (pow y 2))))))> |
#<alt (+ (log (- x 1)) (+ (log (/ 1 y)) (+ (* -1 (/ (+ 1 (* -1 x)) (* y (- x 1)))) (+ (* 1/6 (/ (+ (* -6 (/ (+ 1 (* -1 x)) (- x 1))) (+ (* -6 (/ (pow (+ 1 (* -1 x)) 2) (pow (- x 1) 2))) (* -2 (/ (pow (+ 1 (* -1 x)) 3) (pow (- x 1) 3))))) (pow y 3))) (* 1/2 (/ (+ (* -2 (/ (+ 1 (* -1 x)) (- x 1))) (* -1 (/ (pow (+ 1 (* -1 x)) 2) (pow (- x 1) 2)))) (pow y 2)))))))> |
#<alt (+ (log (+ 1 (* -1 x))) (log (/ -1 y)))> |
#<alt (+ (log (+ 1 (* -1 x))) (+ (log (/ -1 y)) (* -1 (/ (- (/ x (+ 1 (* -1 x))) (/ 1 (+ 1 (* -1 x)))) y))))> |
#<alt (+ (log (+ 1 (* -1 x))) (+ (log (/ -1 y)) (* -1 (/ (- (+ (* -1/2 (/ (+ 2 (* -1 (/ (pow (- x 1) 2) (pow (+ 1 (* -1 x)) 2)))) y)) (/ x (+ 1 (* -1 x)))) (/ 1 (+ 1 (* -1 x)))) y))))> |
#<alt (+ (log (+ 1 (* -1 x))) (+ (log (/ -1 y)) (* -1 (/ (- (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -6 (/ (- x 1) (+ 1 (* -1 x)))) (+ (* 2 (/ (pow (- x 1) 3) (pow (+ 1 (* -1 x)) 3))) (* 6 (/ (- x 1) (+ 1 (* -1 x)))))) y)) (* 1/2 (+ 2 (* -1 (/ (pow (- x 1) 2) (pow (+ 1 (* -1 x)) 2)))))) y)) (/ x (+ 1 (* -1 x)))) (/ 1 (+ 1 (* -1 x)))) y))))> |
#<alt (/ y x)> |
#<alt (* y (+ (/ 1 x) (/ y x)))> |
#<alt (* y (+ (* y (+ (/ 1 x) (/ y x))) (/ 1 x)))> |
#<alt (* y (+ (* y (+ (* y (+ (/ 1 x) (/ y x))) (/ 1 x))) (/ 1 x)))> |
#<alt (/ -1 x)> |
#<alt (* -1 (+ (/ 1 x) (/ 1 (* x y))))> |
#<alt (- (* -1 (/ (+ (/ 1 x) (/ 1 (* x y))) y)) (/ 1 x))> |
#<alt (- (* -1 (/ (+ (/ 1 x) (/ 1 (* x y))) (pow y 2))) (+ (/ 1 x) (/ 1 (* x y))))> |
#<alt (/ -1 x)> |
#<alt (* -1 (+ (/ 1 x) (/ 1 (* x y))))> |
#<alt (- (* -1 (/ (+ (/ 1 x) (/ 1 (* x y))) y)) (/ 1 x))> |
#<alt (- (* -1 (/ (+ (/ 1 x) (+ (/ 1 (* x y)) (/ 1 (* x (pow y 2))))) y)) (/ 1 x))> |
#<alt (/ y (* x (+ 1 (* -1 y))))> |
#<alt (/ y (* x (+ 1 (* -1 y))))> |
#<alt (/ y (* x (+ 1 (* -1 y))))> |
#<alt (/ y (* x (+ 1 (* -1 y))))> |
#<alt (/ y (* x (+ 1 (* -1 y))))> |
#<alt (/ y (* x (+ 1 (* -1 y))))> |
#<alt (/ y (* x (+ 1 (* -1 y))))> |
#<alt (/ y (* x (+ 1 (* -1 y))))> |
#<alt (* -1 (/ y (* x (- y 1))))> |
#<alt (* -1 (/ y (* x (- y 1))))> |
#<alt (* -1 (/ y (* x (- y 1))))> |
#<alt (* -1 (/ y (* x (- y 1))))> |
#<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 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 (+ (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 y) (log (/ 1 (- x 1)))))> |
#<alt (+ 1 (+ (log y) (log (/ 1 (- x 1)))))> |
#<alt (+ 1 (+ (log y) (log (/ 1 (- x 1)))))> |
#<alt (+ 1 (+ (log y) (log (/ 1 (- x 1)))))> |
#<alt (+ 1 (+ (log (/ 1 (- x 1))) (* -1 (log (/ 1 y)))))> |
#<alt (+ 1 (+ (log (/ 1 (- x 1))) (* -1 (log (/ 1 y)))))> |
#<alt (+ 1 (+ (log (/ 1 (- x 1))) (* -1 (log (/ 1 y)))))> |
#<alt (+ 1 (+ (log (/ 1 (- x 1))) (* -1 (log (/ 1 y)))))> |
#<alt (+ 1 (+ (log (/ -1 (- x 1))) (* -1 (log (/ -1 y)))))> |
#<alt (+ 1 (+ (log (/ -1 (- x 1))) (* -1 (log (/ -1 y)))))> |
#<alt (+ 1 (+ (log (/ -1 (- x 1))) (* -1 (log (/ -1 y)))))> |
#<alt (+ 1 (+ (log (/ -1 (- x 1))) (* -1 (log (/ -1 y)))))> |
#<alt (+ 1 (log (* -1 y)))> |
#<alt (+ 1 (+ x (log (* -1 y))))> |
#<alt (+ 1 (+ (log (* -1 y)) (* x (+ 1 (* 1/2 x)))))> |
#<alt (+ 1 (+ (log (* -1 y)) (* x (+ 1 (* x (+ 1/2 (* 1/3 x)))))))> |
#<alt (+ 1 (+ (log y) (log (/ 1 x))))> |
#<alt (+ 1 (+ (log y) (+ (log (/ 1 x)) (/ 1 x))))> |
#<alt (+ 1 (+ (log y) (+ (log (/ 1 x)) (+ (/ 1/2 (pow x 2)) (/ 1 x)))))> |
#<alt (+ 1 (+ (log y) (+ (log (/ 1 x)) (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))))))> |
#<alt (+ 1 (+ (log (* -1 y)) (log (/ -1 x))))> |
#<alt (+ 1 (+ (log (* -1 y)) (+ (log (/ -1 x)) (/ 1 x))))> |
#<alt (+ 1 (+ (log (* -1 y)) (+ (log (/ -1 x)) (+ (/ 1/2 (pow x 2)) (/ 1 x)))))> |
#<alt (+ 1 (+ (log (* -1 y)) (+ (log (/ -1 x)) (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x)))))> |
#<alt (+ (log y) (log (/ 1 (- x 1))))> |
#<alt (+ (log y) (log (/ 1 (- x 1))))> |
#<alt (+ (log y) (log (/ 1 (- x 1))))> |
#<alt (+ (log y) (log (/ 1 (- x 1))))> |
#<alt (+ (log (/ 1 (- x 1))) (* -1 (log (/ 1 y))))> |
#<alt (+ (log (/ 1 (- x 1))) (* -1 (log (/ 1 y))))> |
#<alt (+ (log (/ 1 (- x 1))) (* -1 (log (/ 1 y))))> |
#<alt (+ (log (/ 1 (- x 1))) (* -1 (log (/ 1 y))))> |
#<alt (+ (log (/ -1 (- x 1))) (* -1 (log (/ -1 y))))> |
#<alt (+ (log (/ -1 (- x 1))) (* -1 (log (/ -1 y))))> |
#<alt (+ (log (/ -1 (- x 1))) (* -1 (log (/ -1 y))))> |
#<alt (+ (log (/ -1 (- x 1))) (* -1 (log (/ -1 y))))> |
#<alt (log (* -1 y))> |
#<alt (+ x (log (* -1 y)))> |
#<alt (+ (log (* -1 y)) (* x (+ 1 (* 1/2 x))))> |
#<alt (+ (log (* -1 y)) (* x (+ 1 (* x (+ 1/2 (* 1/3 x))))))> |
#<alt (+ (log y) (log (/ 1 x)))> |
#<alt (+ (log y) (+ (log (/ 1 x)) (/ 1 x)))> |
#<alt (+ (log y) (+ (log (/ 1 x)) (+ (/ 1/2 (pow x 2)) (/ 1 x))))> |
#<alt (+ (log y) (+ (log (/ 1 x)) (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3)))))))> |
#<alt (+ (log (* -1 y)) (log (/ -1 x)))> |
#<alt (+ (log (* -1 y)) (+ (log (/ -1 x)) (/ 1 x)))> |
#<alt (+ (log (* -1 y)) (+ (log (/ -1 x)) (+ (/ 1/2 (pow x 2)) (/ 1 x))))> |
#<alt (+ (log (* -1 y)) (+ (log (/ -1 x)) (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x))))> |
#<alt (/ y (- x 1))> |
#<alt (/ y (- x 1))> |
#<alt (/ y (- x 1))> |
#<alt (/ y (- x 1))> |
#<alt (/ y (- x 1))> |
#<alt (/ y (- x 1))> |
#<alt (/ y (- x 1))> |
#<alt (/ y (- x 1))> |
#<alt (/ y (- x 1))> |
#<alt (/ y (- x 1))> |
#<alt (/ y (- x 1))> |
#<alt (/ y (- x 1))> |
#<alt (* -1 y)> |
#<alt (+ (* -1 y) (* -1 (* x y)))> |
#<alt (+ (* -1 y) (* x (- (* -1 (* x y)) y)))> |
#<alt (+ (* -1 y) (* x (- (* x (- (* -1 (* x y)) y)) y)))> |
#<alt (/ y x)> |
#<alt (/ (+ y (/ y x)) x)> |
#<alt (/ (- (+ y (/ y (pow x 2))) (* -1 (/ y x))) x)> |
#<alt (/ (- (+ y (/ y (pow x 3))) (+ (* -1 (/ y x)) (* -1 (/ y (pow x 2))))) x)> |
#<alt (/ y x)> |
#<alt (* -1 (/ (+ (* -1 y) (* -1 (/ y x))) x))> |
#<alt (* -1 (/ (+ (* -1 y) (* -1 (/ (+ y (/ y x)) x))) x))> |
#<alt (* -1 (/ (+ (* -1 y) (* -1 (/ (+ y (* -1 (/ (+ (* -1 y) (* -1 (/ y x))) x))) x))) x))> |
#<alt -1> |
#<alt (- x 1)> |
#<alt (- x 1)> |
#<alt (- x 1)> |
#<alt x> |
#<alt (* x (- 1 (/ 1 x)))> |
#<alt (* x (- 1 (/ 1 x)))> |
#<alt (* x (- 1 (/ 1 x)))> |
#<alt x> |
#<alt (* -1 (* x (- (/ 1 x) 1)))> |
#<alt (* -1 (* x (- (/ 1 x) 1)))> |
#<alt (* -1 (* x (- (/ 1 x) 1)))> |
#<alt (/ 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))> |
69 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 148.0ms | y | @ | -inf | (+ (log (/ y (+ x -1))) 1) |
| 81.0ms | x | @ | 0 | (- 1 (log (neg x))) |
| 15.0ms | y | @ | 0 | (+ (log (/ y (+ x -1))) 1) |
| 13.0ms | x | @ | -inf | (- 1 (log (neg x))) |
| 8.0ms | x | @ | inf | (- 1 (log (neg x))) |
| 1× | batch-egg-rewrite |
| 5 038× | /-lowering-/.f32 |
| 5 038× | /-lowering-/.f64 |
| 4 870× | *-lowering-*.f32 |
| 4 870× | *-lowering-*.f64 |
| 4 592× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 117 |
| 1 | 189 | 113 |
| 2 | 1732 | 113 |
| 0 | 9388 | 103 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* x (/ y (+ (* y (neg x)) x))) (/ x (+ y -1))) |
(- 1 (log (+ 1 (+ (* x (/ y (+ (* y (neg x)) x))) (/ x (+ y -1)))))) |
(log (+ 1 (+ (* x (/ y (+ (* y (neg x)) x))) (/ x (+ y -1))))) |
(/ y (+ (* y (neg x)) x)) |
(neg y) |
(+ (* x (+ (* x 1/2) 1)) 1) |
(+ (* x 1/2) 1) |
(- 1 (log (neg x))) |
(log (neg x)) |
(neg x) |
(+ (log (/ y (+ x -1))) 1) |
(log (/ y (+ x -1))) |
(/ y (+ x -1)) |
(+ x -1) |
(/ x (+ y -1)) |
| Outputs |
|---|
(+.f64 (/.f64 (*.f64 x y) (-.f64 x (*.f64 x y))) (/.f64 x (+.f64 y #s(literal -1 binary64)))) |
(+.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))) (/.f64 (*.f64 x y) (-.f64 x (*.f64 x y)))) |
(+.f64 (*.f64 (/.f64 (*.f64 x y) (-.f64 x (*.f64 x y))) #s(literal 1 binary64)) (*.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))) #s(literal 1 binary64))) |
(+.f64 (*.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))) #s(literal 1 binary64)) (*.f64 (/.f64 (*.f64 x y) (-.f64 x (*.f64 x y))) #s(literal 1 binary64))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (-.f64 x (*.f64 x y)) (-.f64 x (*.f64 x y)))) (-.f64 (/.f64 (*.f64 x y) (-.f64 x (*.f64 x y))) (/.f64 x (+.f64 y #s(literal -1 binary64))))) (/.f64 (/.f64 (*.f64 x x) (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64)))) (-.f64 (/.f64 (*.f64 x y) (-.f64 x (*.f64 x y))) (/.f64 x (+.f64 y #s(literal -1 binary64)))))) |
(-.f64 (/.f64 (/.f64 (*.f64 x x) (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64)))) (-.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))) (/.f64 (*.f64 x y) (-.f64 x (*.f64 x y))))) (/.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (-.f64 x (*.f64 x y)) (-.f64 x (*.f64 x y)))) (-.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))) (/.f64 (*.f64 x y) (-.f64 x (*.f64 x y)))))) |
(fma.f64 x (/.f64 y (-.f64 x (*.f64 x y))) (/.f64 x (+.f64 y #s(literal -1 binary64)))) |
(fma.f64 x (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (/.f64 (*.f64 x y) (-.f64 x (*.f64 x y)))) |
(fma.f64 y (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 x y))) x) (/.f64 x (+.f64 y #s(literal -1 binary64)))) |
(fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (neg.f64 y))) (/.f64 (*.f64 x y) (-.f64 x (*.f64 x y)))) |
(fma.f64 (/.f64 y (-.f64 x (*.f64 x y))) x (/.f64 x (+.f64 y #s(literal -1 binary64)))) |
(fma.f64 (/.f64 (*.f64 x y) (-.f64 x (*.f64 x y))) #s(literal 1 binary64) (*.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))) #s(literal 1 binary64))) |
(fma.f64 #s(literal -1 binary64) (/.f64 x (+.f64 #s(literal 1 binary64) (neg.f64 y))) (/.f64 (*.f64 x y) (-.f64 x (*.f64 x y)))) |
(fma.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))) #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 x y) (-.f64 x (*.f64 x y))) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) (-.f64 x (*.f64 x y))) (/.f64 x (+.f64 y #s(literal -1 binary64)))) |
(fma.f64 #s(literal 1 binary64) (/.f64 x (+.f64 y #s(literal -1 binary64))) (/.f64 (*.f64 x y) (-.f64 x (*.f64 x y)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 x y))) (/.f64 x (/.f64 #s(literal 1 binary64) y)) (/.f64 x (+.f64 y #s(literal -1 binary64)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) x (/.f64 (*.f64 x y) (-.f64 x (*.f64 x y)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 (*.f64 x y) (-.f64 x (*.f64 x y)))) |
(fma.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 x y))) (/.f64 x (+.f64 y #s(literal -1 binary64)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y y #s(literal 1 binary64)) (neg.f64 y)))) (/.f64 (*.f64 x y) (-.f64 x (*.f64 x y)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -1 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64)))) (/.f64 (*.f64 x y) (-.f64 x (*.f64 x y)))) |
(fma.f64 (/.f64 y (fma.f64 x (*.f64 x x) (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (*.f64 y (neg.f64 x))) (*.f64 (*.f64 x x) (*.f64 y y))))) (/.f64 x (+.f64 y #s(literal -1 binary64)))) |
(fma.f64 (/.f64 y (-.f64 (*.f64 (*.f64 x x) (*.f64 y y)) (*.f64 x x))) (/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y (neg.f64 x)) x))) (/.f64 x (+.f64 y #s(literal -1 binary64)))) |
(fma.f64 (/.f64 x (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) (-.f64 (fma.f64 y y #s(literal 1 binary64)) (neg.f64 y)) (/.f64 (*.f64 x y) (-.f64 x (*.f64 x y)))) |
(fma.f64 (/.f64 x (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y y #s(literal 1 binary64)) (neg.f64 y)))) (/.f64 (*.f64 x y) (-.f64 x (*.f64 x y)))) |
(fma.f64 (/.f64 x (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal 1 binary64)) (/.f64 (*.f64 x y) (-.f64 x (*.f64 x y)))) |
(fma.f64 (/.f64 x (fma.f64 y y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64)))) (/.f64 (*.f64 x y) (-.f64 x (*.f64 x y)))) |
(fma.f64 (/.f64 (*.f64 x y) (fma.f64 x (*.f64 x x) (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))))) (fma.f64 x (-.f64 x (*.f64 y (neg.f64 x))) (*.f64 (*.f64 x x) (*.f64 y y))) (/.f64 x (+.f64 y #s(literal -1 binary64)))) |
(fma.f64 (/.f64 (*.f64 x y) (-.f64 (*.f64 (*.f64 x x) (*.f64 y y)) (*.f64 x x))) (-.f64 (*.f64 y (neg.f64 x)) x) (/.f64 x (+.f64 y #s(literal -1 binary64)))) |
(fma.f64 (/.f64 x (-.f64 (*.f64 (*.f64 x x) (*.f64 y y)) (*.f64 x x))) (/.f64 y (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y (neg.f64 x)) x))) (/.f64 x (+.f64 y #s(literal -1 binary64)))) |
(fma.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 y) (-.f64 x (*.f64 x y))) (/.f64 x (+.f64 y #s(literal -1 binary64)))) |
(fma.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 y #s(literal -1 binary64))) (/.f64 (*.f64 x y) (-.f64 x (*.f64 x y)))) |
(fma.f64 (/.f64 x (-.f64 x (*.f64 x y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (/.f64 x (+.f64 y #s(literal -1 binary64)))) |
(fma.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 (neg.f64 x) (-.f64 x (*.f64 x y))) (/.f64 x (+.f64 y #s(literal -1 binary64)))) |
(fma.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 y (-.f64 x (*.f64 x y))) (/.f64 x (+.f64 y #s(literal -1 binary64)))) |
(fma.f64 (/.f64 (neg.f64 y) #s(literal -1 binary64)) (/.f64 x (-.f64 x (*.f64 x y))) (/.f64 x (+.f64 y #s(literal -1 binary64)))) |
(fma.f64 (/.f64 x (fma.f64 x (*.f64 x x) (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))))) (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (*.f64 y (neg.f64 x))) (*.f64 (*.f64 x x) (*.f64 y y))))) (/.f64 x (+.f64 y #s(literal -1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))) (-.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))) (/.f64 (*.f64 x y) (-.f64 x (*.f64 x y)))) (/.f64 (*.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (-.f64 x (*.f64 x y)) (-.f64 x (*.f64 x y))))) (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 (-.f64 x (*.f64 x y)) (*.f64 (-.f64 x (*.f64 x y)) (-.f64 x (*.f64 x y))))) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64))))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (/.f64 (*.f64 x y) (-.f64 x (*.f64 x y))) (/.f64 x (+.f64 y #s(literal -1 binary64)))) (-.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (-.f64 x (*.f64 x y)) (-.f64 x (*.f64 x y)))) (/.f64 (*.f64 x x) (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64)))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))) (-.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))) (/.f64 (*.f64 x y) (-.f64 x (*.f64 x y)))) (/.f64 (*.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (-.f64 x (*.f64 x y)) (-.f64 x (*.f64 x y))))) (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 (-.f64 x (*.f64 x y)) (*.f64 (-.f64 x (*.f64 x y)) (-.f64 x (*.f64 x y))))) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64)))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 x y) (-.f64 x (*.f64 x y))) (/.f64 x (+.f64 y #s(literal -1 binary64)))) (-.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (-.f64 x (*.f64 x y)) (-.f64 x (*.f64 x y)))) (/.f64 (*.f64 x x) (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64))))))) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 (-.f64 x (*.f64 x y)) (*.f64 (-.f64 x (*.f64 x y)) (-.f64 x (*.f64 x y))))) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64)))))) (fma.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))) (-.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))) (/.f64 (*.f64 x y) (-.f64 x (*.f64 x y)))) (/.f64 (*.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (-.f64 x (*.f64 x y)) (-.f64 x (*.f64 x y)))))) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 (-.f64 x (*.f64 x y)) (*.f64 (-.f64 x (*.f64 x y)) (-.f64 x (*.f64 x y))))) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64)))))) (+.f64 (/.f64 (*.f64 x x) (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64)))) (/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x y) (-.f64 x (*.f64 x y))) (*.f64 x y)) (*.f64 (*.f64 x y) (/.f64 x (+.f64 y #s(literal -1 binary64))))) (-.f64 x (*.f64 x y))))) |
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(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (+.f64 (neg.f64 x) #s(literal 1 binary64))) (*.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) y)) (*.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) (+.f64 (neg.f64 x) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 (neg.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (*.f64 y #s(literal 1 binary64))) (+.f64 (neg.f64 x) #s(literal 1 binary64))) |
(pow.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 y (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) |
(*.f64 #s(literal -1 binary64) (/.f64 y (+.f64 (neg.f64 x) #s(literal 1 binary64)))) |
(*.f64 #s(literal 1 binary64) (/.f64 y (+.f64 x #s(literal -1 binary64)))) |
(*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 x) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) y) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) |
(*.f64 (/.f64 y (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (neg.f64 x))) |
(*.f64 (/.f64 y (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (neg.f64 x))))) |
(*.f64 (/.f64 y (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64))) |
(*.f64 (/.f64 y (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) |
(*.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal -1 binary64)))) |
(+.f64 x #s(literal -1 binary64)) |
(+.f64 #s(literal -1 binary64) x) |
(-.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal -1 binary64) x))) |
(fma.f64 x #s(literal 1 binary64) #s(literal -1 binary64)) |
(fma.f64 #s(literal 1 binary64) x #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) (neg.f64 x)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) (neg.f64 x)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) |
(/.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (neg.f64 x))) |
(/.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (neg.f64 x)))) |
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))) |
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (neg.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) (neg.f64 x)))) |
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (neg.f64 x))))) |
(/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (+.f64 x #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal -1 binary64) x)) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))) (*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) (neg.f64 x))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) (neg.f64 (neg.f64 (+.f64 x #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 (-.f64 #s(literal -1 binary64) x))) |
(pow.f64 (/.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) (neg.f64 x)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (neg.f64 x)))) |
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 y #s(literal -1 binary64)) x)) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (neg.f64 y))) (/.f64 x (+.f64 #s(literal 1 binary64) (neg.f64 y)))) |
(neg.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (neg.f64 y)))) |
(neg.f64 (/.f64 (neg.f64 x) (+.f64 y #s(literal -1 binary64)))) |
(/.f64 x (+.f64 y #s(literal -1 binary64))) |
(/.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) (neg.f64 y))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 y #s(literal -1 binary64)) x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (+.f64 y #s(literal -1 binary64)) x) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y #s(literal -1 binary64)) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 y #s(literal -1 binary64)) x) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (+.f64 y #s(literal -1 binary64)) x)))) |
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (+.f64 #s(literal 1 binary64) (neg.f64 y)))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (neg.f64 y))) (*.f64 (+.f64 #s(literal 1 binary64) (neg.f64 y)) x)) (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (neg.f64 y))))) |
(pow.f64 (/.f64 (+.f64 y #s(literal -1 binary64)) x) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (+.f64 y #s(literal -1 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 x (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))) |
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (neg.f64 y)))) |
(*.f64 #s(literal -1 binary64) (/.f64 x (+.f64 #s(literal 1 binary64) (neg.f64 y)))) |
(*.f64 #s(literal 1 binary64) (/.f64 x (+.f64 y #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) x) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y y #s(literal 1 binary64)) (neg.f64 y))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -1 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))))) |
(*.f64 (/.f64 x (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) (-.f64 (fma.f64 y y #s(literal 1 binary64)) (neg.f64 y))) |
(*.f64 (/.f64 x (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y y #s(literal 1 binary64)) (neg.f64 y))))) |
(*.f64 (/.f64 x (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal 1 binary64))) |
(*.f64 (/.f64 x (fma.f64 y y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))))) |
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 y #s(literal -1 binary64)))) |
| 1× | egg-herbie |
| 8 356× | accelerator-lowering-fma.f32 |
| 8 356× | accelerator-lowering-fma.f64 |
| 4 806× | +-lowering-+.f64 |
| 4 806× | +-lowering-+.f32 |
| 3 676× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 548 | 3738 |
| 1 | 1658 | 3295 |
| 2 | 5339 | 2883 |
| 0 | 9492 | 2761 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ y (+ 1 (* -1 y))) |
(+ (/ x (- y 1)) (/ y (+ 1 (* -1 y)))) |
(+ (/ x (- y 1)) (/ y (+ 1 (* -1 y)))) |
(+ (/ x (- y 1)) (/ y (+ 1 (* -1 y)))) |
(/ x (- y 1)) |
(* x (+ (/ 1 (- y 1)) (/ y (* x (+ 1 (* -1 y)))))) |
(* x (+ (/ 1 (- y 1)) (/ y (* x (+ 1 (* -1 y)))))) |
(* x (+ (/ 1 (- y 1)) (/ y (* x (+ 1 (* -1 y)))))) |
(/ x (- y 1)) |
(* -1 (* x (- (/ y (* x (- y 1))) (/ 1 (- y 1))))) |
(* -1 (* x (- (/ y (* x (- y 1))) (/ 1 (- y 1))))) |
(* -1 (* x (- (/ y (* x (- y 1))) (/ 1 (- y 1))))) |
(* -1 x) |
(+ (* -1 x) (* y (- 1 x))) |
(+ (* -1 x) (* y (- (+ 1 (* y (- 1 x))) x))) |
(+ (* -1 x) (* y (- (+ 1 (* y (- (+ 1 (* y (- 1 x))) x))) x))) |
-1 |
(- (/ x y) (+ 1 (/ 1 y))) |
(- (+ (* -1 (/ (+ 1 (* -1 x)) (pow y 2))) (/ x y)) (+ 1 (/ 1 y))) |
(- (+ (* -1 (/ (+ 1 (* -1 x)) (pow y 3))) (/ x y)) (+ 1 (+ (* -1 (/ x (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 2)))))) |
-1 |
(- (* -1 (/ (+ 1 (* -1 x)) y)) 1) |
(- (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- x 1) y)))) y)) 1) |
(- (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- (+ x (* -1 (/ (+ 1 (* -1 x)) y))) 1) y)))) y)) 1) |
(- 1 (log (+ 1 (/ y (+ 1 (* -1 y)))))) |
(- (+ 1 (* -1 (/ x (* (+ 1 (/ y (+ 1 (* -1 y)))) (- y 1))))) (log (+ 1 (/ y (+ 1 (* -1 y)))))) |
(- (+ 1 (* x (- (* 1/2 (/ x (* (pow (+ 1 (/ y (+ 1 (* -1 y)))) 2) (pow (- y 1) 2)))) (/ 1 (* (+ 1 (/ y (+ 1 (* -1 y)))) (- y 1)))))) (log (+ 1 (/ y (+ 1 (* -1 y)))))) |
(- (+ 1 (* x (- (* x (+ (* -1/3 (/ x (* (pow (+ 1 (/ y (+ 1 (* -1 y)))) 3) (pow (- y 1) 3)))) (* 1/2 (/ 1 (* (pow (+ 1 (/ y (+ 1 (* -1 y)))) 2) (pow (- y 1) 2)))))) (/ 1 (* (+ 1 (/ y (+ 1 (* -1 y)))) (- y 1)))))) (log (+ 1 (/ y (+ 1 (* -1 y)))))) |
(- 1 (+ (log (/ 1 (- y 1))) (* -1 (log (/ 1 x))))) |
(- (+ 1 (* -1 (/ (* (+ 1 (/ y (+ 1 (* -1 y)))) (- y 1)) x))) (+ (log (/ 1 (- y 1))) (* -1 (log (/ 1 x))))) |
(- (+ 1 (* 1/2 (/ (* (pow (+ 1 (/ y (+ 1 (* -1 y)))) 2) (pow (- y 1) 2)) (pow x 2)))) (+ (log (/ 1 (- y 1))) (+ (* -1 (log (/ 1 x))) (/ (* (+ 1 (/ y (+ 1 (* -1 y)))) (- y 1)) x)))) |
(- (+ 1 (* -1/3 (/ (* (pow (+ 1 (/ y (+ 1 (* -1 y)))) 3) (pow (- y 1) 3)) (pow x 3)))) (+ (log (/ 1 (- y 1))) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (* (pow (+ 1 (/ y (+ 1 (* -1 y)))) 2) (pow (- y 1) 2)) (pow x 2))) (/ (* (+ 1 (/ y (+ 1 (* -1 y)))) (- y 1)) x))))) |
(- 1 (+ (log (neg (/ 1 (- y 1)))) (* -1 (log (/ -1 x))))) |
(- (+ 1 (* -1 (/ (* (+ 1 (* -1 (/ y (- y 1)))) (- y 1)) x))) (+ (log (neg (/ 1 (- y 1)))) (* -1 (log (/ -1 x))))) |
(- (+ 1 (* -1 (/ (- (* -1/2 (/ (* (pow (+ 1 (* -1 (/ y (- y 1)))) 2) (pow (- y 1) 2)) x)) (* -1 (* (+ 1 (* -1 (/ y (- y 1)))) (- y 1)))) x))) (+ (log (neg (/ 1 (- y 1)))) (* -1 (log (/ -1 x))))) |
(- (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1/3 (/ (* (pow (+ 1 (* -1 (/ y (- y 1)))) 3) (pow (- y 1) 3)) x)) (* -1/2 (* (pow (+ 1 (* -1 (/ y (- y 1)))) 2) (pow (- y 1) 2)))) x)) (* -1 (* (+ 1 (* -1 (/ y (- y 1)))) (- y 1)))) x))) (+ (log (neg (/ 1 (- y 1)))) (* -1 (log (/ -1 x))))) |
(- 1 (log (+ 1 (* -1 x)))) |
(- (+ 1 (* y (- (/ x (+ 1 (* -1 x))) (/ 1 (+ 1 (* -1 x)))))) (log (+ 1 (* -1 x)))) |
(- (+ 1 (* y (- (+ (* -1/2 (* y (+ (* -1 (/ (pow (- 1 x) 2) (pow (+ 1 (* -1 x)) 2))) (* 2 (/ (- 1 x) (+ 1 (* -1 x))))))) (/ x (+ 1 (* -1 x)))) (/ 1 (+ 1 (* -1 x)))))) (log (+ 1 (* -1 x)))) |
(- (+ 1 (* y (- (+ (* y (- (* -1/6 (* y (+ (* -6 (/ (pow (- 1 x) 2) (pow (+ 1 (* -1 x)) 2))) (+ (* 2 (/ (pow (- 1 x) 3) (pow (+ 1 (* -1 x)) 3))) (* 6 (/ (- 1 x) (+ 1 (* -1 x)))))))) (* 1/2 (+ (* -1 (/ (pow (- 1 x) 2) (pow (+ 1 (* -1 x)) 2))) (* 2 (/ (- 1 x) (+ 1 (* -1 x)))))))) (/ x (+ 1 (* -1 x)))) (/ 1 (+ 1 (* -1 x)))))) (log (+ 1 (* -1 x)))) |
(- 1 (+ (log (- x 1)) (log (/ 1 y)))) |
(- (+ 1 (+ (* -1 (/ x (* y (- x 1)))) (/ 1 (* y (- x 1))))) (+ (log (- x 1)) (log (/ 1 y)))) |
(- (+ 1 (* -1/2 (/ (+ (* -2 (/ (+ 1 (* -1 x)) (- x 1))) (* -1 (/ (pow (+ 1 (* -1 x)) 2) (pow (- x 1) 2)))) (pow y 2)))) (+ (log (- x 1)) (+ (log (/ 1 y)) (* -1 (/ (+ 1 (* -1 x)) (* y (- x 1))))))) |
(- (+ 1 (* -1/6 (/ (+ (* -6 (/ (+ 1 (* -1 x)) (- x 1))) (+ (* -6 (/ (pow (+ 1 (* -1 x)) 2) (pow (- x 1) 2))) (* -2 (/ (pow (+ 1 (* -1 x)) 3) (pow (- x 1) 3))))) (pow y 3)))) (+ (log (- x 1)) (+ (log (/ 1 y)) (+ (* -1 (/ (+ 1 (* -1 x)) (* y (- x 1)))) (* 1/2 (/ (+ (* -2 (/ (+ 1 (* -1 x)) (- x 1))) (* -1 (/ (pow (+ 1 (* -1 x)) 2) (pow (- x 1) 2)))) (pow y 2))))))) |
(- 1 (+ (log (+ 1 (* -1 x))) (log (/ -1 y)))) |
(- (+ 1 (* -1 (/ (- (/ 1 (+ 1 (* -1 x))) (/ x (+ 1 (* -1 x)))) y))) (+ (log (+ 1 (* -1 x))) (log (/ -1 y)))) |
(- (+ 1 (* -1 (/ (- (+ (* 1/2 (/ (+ 2 (* -1 (/ (pow (- x 1) 2) (pow (+ 1 (* -1 x)) 2)))) y)) (/ 1 (+ 1 (* -1 x)))) (/ x (+ 1 (* -1 x)))) y))) (+ (log (+ 1 (* -1 x))) (log (/ -1 y)))) |
(- (+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* 1/6 (/ (+ (* -6 (/ (- x 1) (+ 1 (* -1 x)))) (+ (* 2 (/ (pow (- x 1) 3) (pow (+ 1 (* -1 x)) 3))) (* 6 (/ (- x 1) (+ 1 (* -1 x)))))) y)) (* 1/2 (+ 2 (* -1 (/ (pow (- x 1) 2) (pow (+ 1 (* -1 x)) 2)))))) y)) (/ 1 (+ 1 (* -1 x)))) (/ x (+ 1 (* -1 x)))) y))) (+ (log (+ 1 (* -1 x))) (log (/ -1 y)))) |
(log (+ 1 (/ y (+ 1 (* -1 y))))) |
(+ (log (+ 1 (/ y (+ 1 (* -1 y))))) (/ x (* (+ 1 (/ y (+ 1 (* -1 y)))) (- y 1)))) |
(+ (log (+ 1 (/ y (+ 1 (* -1 y))))) (* x (+ (* -1/2 (/ x (* (pow (+ 1 (/ y (+ 1 (* -1 y)))) 2) (pow (- y 1) 2)))) (/ 1 (* (+ 1 (/ y (+ 1 (* -1 y)))) (- y 1)))))) |
(+ (log (+ 1 (/ y (+ 1 (* -1 y))))) (* x (+ (* x (- (* 1/3 (/ x (* (pow (+ 1 (/ y (+ 1 (* -1 y)))) 3) (pow (- y 1) 3)))) (* 1/2 (/ 1 (* (pow (+ 1 (/ y (+ 1 (* -1 y)))) 2) (pow (- y 1) 2)))))) (/ 1 (* (+ 1 (/ y (+ 1 (* -1 y)))) (- y 1)))))) |
(+ (log (/ 1 (- y 1))) (* -1 (log (/ 1 x)))) |
(+ (log (/ 1 (- y 1))) (+ (* -1 (log (/ 1 x))) (/ (* (+ 1 (/ y (+ 1 (* -1 y)))) (- y 1)) x))) |
(+ (log (/ 1 (- y 1))) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (* (pow (+ 1 (/ y (+ 1 (* -1 y)))) 2) (pow (- y 1) 2)) (pow x 2))) (/ (* (+ 1 (/ y (+ 1 (* -1 y)))) (- y 1)) x)))) |
(+ (log (/ 1 (- y 1))) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (* (pow (+ 1 (/ y (+ 1 (* -1 y)))) 2) (pow (- y 1) 2)) (pow x 2))) (+ (* 1/3 (/ (* (pow (+ 1 (/ y (+ 1 (* -1 y)))) 3) (pow (- y 1) 3)) (pow x 3))) (/ (* (+ 1 (/ y (+ 1 (* -1 y)))) (- y 1)) x))))) |
(+ (log (neg (/ 1 (- y 1)))) (* -1 (log (/ -1 x)))) |
(+ (log (neg (/ 1 (- y 1)))) (+ (* -1 (log (/ -1 x))) (/ (* (+ 1 (* -1 (/ y (- y 1)))) (- y 1)) x))) |
(+ (log (neg (/ 1 (- y 1)))) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 (* (+ 1 (* -1 (/ y (- y 1)))) (- y 1))) (* 1/2 (/ (* (pow (+ 1 (* -1 (/ y (- y 1)))) 2) (pow (- y 1) 2)) x))) x)))) |
(+ (log (neg (/ 1 (- y 1)))) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 (* (+ 1 (* -1 (/ y (- y 1)))) (- y 1))) (* -1 (/ (+ (* -1/2 (* (pow (+ 1 (* -1 (/ y (- y 1)))) 2) (pow (- y 1) 2))) (* 1/3 (/ (* (pow (+ 1 (* -1 (/ y (- y 1)))) 3) (pow (- y 1) 3)) x))) x))) x)))) |
(log (+ 1 (* -1 x))) |
(+ (log (+ 1 (* -1 x))) (* y (- (/ 1 (+ 1 (* -1 x))) (/ x (+ 1 (* -1 x)))))) |
(+ (log (+ 1 (* -1 x))) (* y (- (+ (* 1/2 (* y (+ (* -1 (/ (pow (- 1 x) 2) (pow (+ 1 (* -1 x)) 2))) (* 2 (/ (- 1 x) (+ 1 (* -1 x))))))) (/ 1 (+ 1 (* -1 x)))) (/ x (+ 1 (* -1 x)))))) |
(+ (log (+ 1 (* -1 x))) (* y (- (+ (* y (+ (* 1/6 (* y (+ (* -6 (/ (pow (- 1 x) 2) (pow (+ 1 (* -1 x)) 2))) (+ (* 2 (/ (pow (- 1 x) 3) (pow (+ 1 (* -1 x)) 3))) (* 6 (/ (- 1 x) (+ 1 (* -1 x)))))))) (* 1/2 (+ (* -1 (/ (pow (- 1 x) 2) (pow (+ 1 (* -1 x)) 2))) (* 2 (/ (- 1 x) (+ 1 (* -1 x)))))))) (/ 1 (+ 1 (* -1 x)))) (/ x (+ 1 (* -1 x)))))) |
(+ (log (- x 1)) (log (/ 1 y))) |
(+ (log (- x 1)) (+ (log (/ 1 y)) (* -1 (/ (+ 1 (* -1 x)) (* y (- x 1)))))) |
(+ (log (- x 1)) (+ (log (/ 1 y)) (+ (* -1 (/ (+ 1 (* -1 x)) (* y (- x 1)))) (* 1/2 (/ (+ (* -2 (/ (+ 1 (* -1 x)) (- x 1))) (* -1 (/ (pow (+ 1 (* -1 x)) 2) (pow (- x 1) 2)))) (pow y 2)))))) |
(+ (log (- x 1)) (+ (log (/ 1 y)) (+ (* -1 (/ (+ 1 (* -1 x)) (* y (- x 1)))) (+ (* 1/6 (/ (+ (* -6 (/ (+ 1 (* -1 x)) (- x 1))) (+ (* -6 (/ (pow (+ 1 (* -1 x)) 2) (pow (- x 1) 2))) (* -2 (/ (pow (+ 1 (* -1 x)) 3) (pow (- x 1) 3))))) (pow y 3))) (* 1/2 (/ (+ (* -2 (/ (+ 1 (* -1 x)) (- x 1))) (* -1 (/ (pow (+ 1 (* -1 x)) 2) (pow (- x 1) 2)))) (pow y 2))))))) |
(+ (log (+ 1 (* -1 x))) (log (/ -1 y))) |
(+ (log (+ 1 (* -1 x))) (+ (log (/ -1 y)) (* -1 (/ (- (/ x (+ 1 (* -1 x))) (/ 1 (+ 1 (* -1 x)))) y)))) |
(+ (log (+ 1 (* -1 x))) (+ (log (/ -1 y)) (* -1 (/ (- (+ (* -1/2 (/ (+ 2 (* -1 (/ (pow (- x 1) 2) (pow (+ 1 (* -1 x)) 2)))) y)) (/ x (+ 1 (* -1 x)))) (/ 1 (+ 1 (* -1 x)))) y)))) |
(+ (log (+ 1 (* -1 x))) (+ (log (/ -1 y)) (* -1 (/ (- (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -6 (/ (- x 1) (+ 1 (* -1 x)))) (+ (* 2 (/ (pow (- x 1) 3) (pow (+ 1 (* -1 x)) 3))) (* 6 (/ (- x 1) (+ 1 (* -1 x)))))) y)) (* 1/2 (+ 2 (* -1 (/ (pow (- x 1) 2) (pow (+ 1 (* -1 x)) 2)))))) y)) (/ x (+ 1 (* -1 x)))) (/ 1 (+ 1 (* -1 x)))) y)))) |
(/ y x) |
(* y (+ (/ 1 x) (/ y x))) |
(* y (+ (* y (+ (/ 1 x) (/ y x))) (/ 1 x))) |
(* y (+ (* y (+ (* y (+ (/ 1 x) (/ y x))) (/ 1 x))) (/ 1 x))) |
(/ -1 x) |
(* -1 (+ (/ 1 x) (/ 1 (* x y)))) |
(- (* -1 (/ (+ (/ 1 x) (/ 1 (* x y))) y)) (/ 1 x)) |
(- (* -1 (/ (+ (/ 1 x) (/ 1 (* x y))) (pow y 2))) (+ (/ 1 x) (/ 1 (* x y)))) |
(/ -1 x) |
(* -1 (+ (/ 1 x) (/ 1 (* x y)))) |
(- (* -1 (/ (+ (/ 1 x) (/ 1 (* x y))) y)) (/ 1 x)) |
(- (* -1 (/ (+ (/ 1 x) (+ (/ 1 (* x y)) (/ 1 (* x (pow y 2))))) y)) (/ 1 x)) |
(/ y (* x (+ 1 (* -1 y)))) |
(/ y (* x (+ 1 (* -1 y)))) |
(/ y (* x (+ 1 (* -1 y)))) |
(/ y (* x (+ 1 (* -1 y)))) |
(/ y (* x (+ 1 (* -1 y)))) |
(/ y (* x (+ 1 (* -1 y)))) |
(/ y (* x (+ 1 (* -1 y)))) |
(/ y (* x (+ 1 (* -1 y)))) |
(* -1 (/ y (* x (- y 1)))) |
(* -1 (/ y (* x (- y 1)))) |
(* -1 (/ y (* x (- y 1)))) |
(* -1 (/ y (* x (- y 1)))) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
1 |
(+ 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 (+ (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 y) (log (/ 1 (- x 1))))) |
(+ 1 (+ (log y) (log (/ 1 (- x 1))))) |
(+ 1 (+ (log y) (log (/ 1 (- x 1))))) |
(+ 1 (+ (log y) (log (/ 1 (- x 1))))) |
(+ 1 (+ (log (/ 1 (- x 1))) (* -1 (log (/ 1 y))))) |
(+ 1 (+ (log (/ 1 (- x 1))) (* -1 (log (/ 1 y))))) |
(+ 1 (+ (log (/ 1 (- x 1))) (* -1 (log (/ 1 y))))) |
(+ 1 (+ (log (/ 1 (- x 1))) (* -1 (log (/ 1 y))))) |
(+ 1 (+ (log (/ -1 (- x 1))) (* -1 (log (/ -1 y))))) |
(+ 1 (+ (log (/ -1 (- x 1))) (* -1 (log (/ -1 y))))) |
(+ 1 (+ (log (/ -1 (- x 1))) (* -1 (log (/ -1 y))))) |
(+ 1 (+ (log (/ -1 (- x 1))) (* -1 (log (/ -1 y))))) |
(+ 1 (log (* -1 y))) |
(+ 1 (+ x (log (* -1 y)))) |
(+ 1 (+ (log (* -1 y)) (* x (+ 1 (* 1/2 x))))) |
(+ 1 (+ (log (* -1 y)) (* x (+ 1 (* x (+ 1/2 (* 1/3 x))))))) |
(+ 1 (+ (log y) (log (/ 1 x)))) |
(+ 1 (+ (log y) (+ (log (/ 1 x)) (/ 1 x)))) |
(+ 1 (+ (log y) (+ (log (/ 1 x)) (+ (/ 1/2 (pow x 2)) (/ 1 x))))) |
(+ 1 (+ (log y) (+ (log (/ 1 x)) (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3)))))))) |
(+ 1 (+ (log (* -1 y)) (log (/ -1 x)))) |
(+ 1 (+ (log (* -1 y)) (+ (log (/ -1 x)) (/ 1 x)))) |
(+ 1 (+ (log (* -1 y)) (+ (log (/ -1 x)) (+ (/ 1/2 (pow x 2)) (/ 1 x))))) |
(+ 1 (+ (log (* -1 y)) (+ (log (/ -1 x)) (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x))))) |
(+ (log y) (log (/ 1 (- x 1)))) |
(+ (log y) (log (/ 1 (- x 1)))) |
(+ (log y) (log (/ 1 (- x 1)))) |
(+ (log y) (log (/ 1 (- x 1)))) |
(+ (log (/ 1 (- x 1))) (* -1 (log (/ 1 y)))) |
(+ (log (/ 1 (- x 1))) (* -1 (log (/ 1 y)))) |
(+ (log (/ 1 (- x 1))) (* -1 (log (/ 1 y)))) |
(+ (log (/ 1 (- x 1))) (* -1 (log (/ 1 y)))) |
(+ (log (/ -1 (- x 1))) (* -1 (log (/ -1 y)))) |
(+ (log (/ -1 (- x 1))) (* -1 (log (/ -1 y)))) |
(+ (log (/ -1 (- x 1))) (* -1 (log (/ -1 y)))) |
(+ (log (/ -1 (- x 1))) (* -1 (log (/ -1 y)))) |
(log (* -1 y)) |
(+ x (log (* -1 y))) |
(+ (log (* -1 y)) (* x (+ 1 (* 1/2 x)))) |
(+ (log (* -1 y)) (* x (+ 1 (* x (+ 1/2 (* 1/3 x)))))) |
(+ (log y) (log (/ 1 x))) |
(+ (log y) (+ (log (/ 1 x)) (/ 1 x))) |
(+ (log y) (+ (log (/ 1 x)) (+ (/ 1/2 (pow x 2)) (/ 1 x)))) |
(+ (log y) (+ (log (/ 1 x)) (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))))) |
(+ (log (* -1 y)) (log (/ -1 x))) |
(+ (log (* -1 y)) (+ (log (/ -1 x)) (/ 1 x))) |
(+ (log (* -1 y)) (+ (log (/ -1 x)) (+ (/ 1/2 (pow x 2)) (/ 1 x)))) |
(+ (log (* -1 y)) (+ (log (/ -1 x)) (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x)))) |
(/ y (- x 1)) |
(/ y (- x 1)) |
(/ y (- x 1)) |
(/ y (- x 1)) |
(/ y (- x 1)) |
(/ y (- x 1)) |
(/ y (- x 1)) |
(/ y (- x 1)) |
(/ y (- x 1)) |
(/ y (- x 1)) |
(/ y (- x 1)) |
(/ y (- x 1)) |
(* -1 y) |
(+ (* -1 y) (* -1 (* x y))) |
(+ (* -1 y) (* x (- (* -1 (* x y)) y))) |
(+ (* -1 y) (* x (- (* x (- (* -1 (* x y)) y)) y))) |
(/ y x) |
(/ (+ y (/ y x)) x) |
(/ (- (+ y (/ y (pow x 2))) (* -1 (/ y x))) x) |
(/ (- (+ y (/ y (pow x 3))) (+ (* -1 (/ y x)) (* -1 (/ y (pow x 2))))) x) |
(/ y x) |
(* -1 (/ (+ (* -1 y) (* -1 (/ y x))) x)) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (+ y (/ y x)) x))) x)) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (+ y (* -1 (/ (+ (* -1 y) (* -1 (/ y x))) x))) x))) x)) |
-1 |
(- x 1) |
(- x 1) |
(- x 1) |
x |
(* x (- 1 (/ 1 x))) |
(* x (- 1 (/ 1 x))) |
(* x (- 1 (/ 1 x))) |
x |
(* -1 (* x (- (/ 1 x) 1))) |
(* -1 (* x (- (/ 1 x) 1))) |
(* -1 (* x (- (/ 1 x) 1))) |
(/ 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)) |
| Outputs |
|---|
(/ y (+ 1 (* -1 y))) |
(/.f64 y (-.f64 #s(literal 1 binary64) y)) |
(+ (/ x (- y 1)) (/ y (+ 1 (* -1 y)))) |
(+.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))) (/.f64 y (-.f64 #s(literal 1 binary64) y))) |
(+ (/ x (- y 1)) (/ y (+ 1 (* -1 y)))) |
(+.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))) (/.f64 y (-.f64 #s(literal 1 binary64) y))) |
(+ (/ x (- y 1)) (/ y (+ 1 (* -1 y)))) |
(+.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))) (/.f64 y (-.f64 #s(literal 1 binary64) y))) |
(/ x (- y 1)) |
(/.f64 x (+.f64 y #s(literal -1 binary64))) |
(* x (+ (/ 1 (- y 1)) (/ y (* x (+ 1 (* -1 y)))))) |
(fma.f64 x (/.f64 y (-.f64 x (*.f64 y x))) (/.f64 x (+.f64 y #s(literal -1 binary64)))) |
(* x (+ (/ 1 (- y 1)) (/ y (* x (+ 1 (* -1 y)))))) |
(fma.f64 x (/.f64 y (-.f64 x (*.f64 y x))) (/.f64 x (+.f64 y #s(literal -1 binary64)))) |
(* x (+ (/ 1 (- y 1)) (/ y (* x (+ 1 (* -1 y)))))) |
(fma.f64 x (/.f64 y (-.f64 x (*.f64 y x))) (/.f64 x (+.f64 y #s(literal -1 binary64)))) |
(/ x (- y 1)) |
(/.f64 x (+.f64 y #s(literal -1 binary64))) |
(* -1 (* x (- (/ y (* x (- y 1))) (/ 1 (- y 1))))) |
(*.f64 x (+.f64 (/.f64 y (-.f64 x (*.f64 y x))) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))))) |
(* -1 (* x (- (/ y (* x (- y 1))) (/ 1 (- y 1))))) |
(*.f64 x (+.f64 (/.f64 y (-.f64 x (*.f64 y x))) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))))) |
(* -1 (* x (- (/ y (* x (- y 1))) (/ 1 (- y 1))))) |
(*.f64 x (+.f64 (/.f64 y (-.f64 x (*.f64 y x))) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))))) |
(* -1 x) |
(neg.f64 x) |
(+ (* -1 x) (* y (- 1 x))) |
(-.f64 (fma.f64 (neg.f64 y) x y) x) |
(+ (* -1 x) (* y (- (+ 1 (* y (- 1 x))) x))) |
(fma.f64 y (-.f64 (fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x) (neg.f64 x)) |
(+ (* -1 x) (* y (- (+ 1 (* y (- (+ 1 (* y (- 1 x))) x))) x))) |
(fma.f64 y (fma.f64 y (-.f64 (fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x) (-.f64 #s(literal 1 binary64) x)) (neg.f64 x)) |
-1 |
#s(literal -1 binary64) |
(- (/ x y) (+ 1 (/ 1 y))) |
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) x) y)) |
(- (+ (* -1 (/ (+ 1 (* -1 x)) (pow y 2))) (/ x y)) (+ 1 (/ 1 y))) |
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (-.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))) y)) |
(- (+ (* -1 (/ (+ 1 (* -1 x)) (pow y 3))) (/ x y)) (+ 1 (+ (* -1 (/ x (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 2)))))) |
(+.f64 (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 y (*.f64 y y))) (+.f64 (/.f64 x y) #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 y y)))) |
-1 |
#s(literal -1 binary64) |
(- (* -1 (/ (+ 1 (* -1 x)) y)) 1) |
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) x) y)) |
(- (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- x 1) 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 (+ (* -1 x) (* -1 (/ (- (+ x (* -1 (/ (+ 1 (* -1 x)) y))) 1) y)))) y)) 1) |
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (+.f64 x (/.f64 (+.f64 #s(literal -1 binary64) (-.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))) y))) y)) |
(- 1 (log (+ 1 (/ y (+ 1 (* -1 y)))))) |
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)))) |
(- (+ 1 (* -1 (/ x (* (+ 1 (/ y (+ 1 (* -1 y)))) (- y 1))))) (log (+ 1 (/ y (+ 1 (* -1 y)))))) |
(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 x (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) y))) (log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y))))) |
(- (+ 1 (* x (- (* 1/2 (/ x (* (pow (+ 1 (/ y (+ 1 (* -1 y)))) 2) (pow (- y 1) 2)))) (/ 1 (* (+ 1 (/ y (+ 1 (* -1 y)))) (- y 1)))))) (log (+ 1 (/ y (+ 1 (* -1 y)))))) |
(fma.f64 x (fma.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal -1 binary64))))) (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) y)))) (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y))))) |
(- (+ 1 (* x (- (* x (+ (* -1/3 (/ x (* (pow (+ 1 (/ y (+ 1 (* -1 y)))) 3) (pow (- y 1) 3)))) (* 1/2 (/ 1 (* (pow (+ 1 (/ y (+ 1 (* -1 y)))) 2) (pow (- y 1) 2)))))) (/ 1 (* (+ 1 (/ y (+ 1 (* -1 y)))) (- y 1)))))) (log (+ 1 (/ y (+ 1 (* -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 y #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal -1 binary64))))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal -1 binary64)))) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64))))))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal -1 binary64))))) (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64)))))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) y)))) (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y))))) |
(- 1 (+ (log (/ 1 (- y 1))) (* -1 (log (/ 1 x))))) |
(+.f64 (-.f64 #s(literal 1 binary64) (log.f64 x)) (log.f64 (+.f64 y #s(literal -1 binary64)))) |
(- (+ 1 (* -1 (/ (* (+ 1 (/ y (+ 1 (* -1 y)))) (- y 1)) x))) (+ (log (/ 1 (- y 1))) (* -1 (log (/ 1 x))))) |
(+.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal -1 binary64)))) (/.f64 (-.f64 #s(literal 1 binary64) y) x) (log.f64 (+.f64 y #s(literal -1 binary64)))) (log.f64 x))) |
(- (+ 1 (* 1/2 (/ (* (pow (+ 1 (/ y (+ 1 (* -1 y)))) 2) (pow (- y 1) 2)) (pow x 2)))) (+ (log (/ 1 (- y 1))) (+ (* -1 (log (/ 1 x))) (/ (* (+ 1 (/ y (+ 1 (* -1 y)))) (- y 1)) x)))) |
(+.f64 #s(literal 1 binary64) (-.f64 (-.f64 (log.f64 (+.f64 y #s(literal -1 binary64))) (log.f64 x)) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y)) #s(literal -1/2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal -1 binary64))))) (*.f64 (+.f64 y #s(literal -1 binary64)) (/.f64 (+.f64 y #s(literal -1 binary64)) x)) (*.f64 (+.f64 y #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal -1 binary64)))))) x))) |
(- (+ 1 (* -1/3 (/ (* (pow (+ 1 (/ y (+ 1 (* -1 y)))) 3) (pow (- y 1) 3)) (pow x 3)))) (+ (log (/ 1 (- y 1))) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (* (pow (+ 1 (/ y (+ 1 (* -1 y)))) 2) (pow (- y 1) 2)) (pow x 2))) (/ (* (+ 1 (/ y (+ 1 (* -1 y)))) (- y 1)) x))))) |
(-.f64 (-.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal -1 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal -1 binary64)))))) (*.f64 (/.f64 (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64)))) (*.f64 x (*.f64 x x))) #s(literal -1/3 binary64)) (log.f64 (+.f64 y #s(literal -1 binary64))))) (log.f64 x)) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y)) #s(literal -1/2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal -1 binary64))))) (*.f64 (+.f64 y #s(literal -1 binary64)) (/.f64 (+.f64 y #s(literal -1 binary64)) x)) (*.f64 (+.f64 y #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal -1 binary64)))))) x)) |
(- 1 (+ (log (neg (/ 1 (- y 1)))) (* -1 (log (/ -1 x))))) |
(+.f64 #s(literal 1 binary64) (+.f64 (neg.f64 (log.f64 (neg.f64 x))) (log1p.f64 (neg.f64 y)))) |
(- (+ 1 (* -1 (/ (* (+ 1 (* -1 (/ y (- y 1)))) (- y 1)) x))) (+ (log (neg (/ 1 (- y 1)))) (* -1 (log (/ -1 x))))) |
(+.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal -1 binary64)))) (/.f64 (-.f64 #s(literal 1 binary64) y) x) (log1p.f64 (neg.f64 y)))) (neg.f64 (log.f64 (neg.f64 x)))) |
(- (+ 1 (* -1 (/ (- (* -1/2 (/ (* (pow (+ 1 (* -1 (/ y (- y 1)))) 2) (pow (- y 1) 2)) x)) (* -1 (* (+ 1 (* -1 (/ y (- y 1)))) (- y 1)))) x))) (+ (log (neg (/ 1 (- y 1)))) (* -1 (log (/ -1 x))))) |
(+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y)) #s(literal -1/2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal -1 binary64))))) (*.f64 (+.f64 y #s(literal -1 binary64)) (/.f64 (+.f64 y #s(literal -1 binary64)) x)) (*.f64 (+.f64 y #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal -1 binary64)))))) x)) (+.f64 (neg.f64 (log.f64 (neg.f64 x))) (log1p.f64 (neg.f64 y)))) |
(- (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1/3 (/ (* (pow (+ 1 (* -1 (/ y (- y 1)))) 3) (pow (- y 1) 3)) x)) (* -1/2 (* (pow (+ 1 (* -1 (/ y (- y 1)))) 2) (pow (- y 1) 2)))) x)) (* -1 (* (+ 1 (* -1 (/ y (- y 1)))) (- y 1)))) x))) (+ (log (neg (/ 1 (- y 1)))) (* -1 (log (/ -1 x))))) |
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal -1 binary64))))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal -1 binary64)))) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64)))))) x) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y)) #s(literal -1/2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal -1 binary64))))) (*.f64 (+.f64 y #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) y)))) x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) y))) x) (+.f64 (neg.f64 (log.f64 (neg.f64 x))) (log1p.f64 (neg.f64 y))))) |
(- 1 (log (+ 1 (* -1 x)))) |
(-.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x))) |
(- (+ 1 (* y (- (/ x (+ 1 (* -1 x))) (/ 1 (+ 1 (* -1 x)))))) (log (+ 1 (* -1 x)))) |
(-.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 x))) |
(- (+ 1 (* y (- (+ (* -1/2 (* y (+ (* -1 (/ (pow (- 1 x) 2) (pow (+ 1 (* -1 x)) 2))) (* 2 (/ (- 1 x) (+ 1 (* -1 x))))))) (/ x (+ 1 (* -1 x)))) (/ 1 (+ 1 (* -1 x)))))) (log (+ 1 (* -1 x)))) |
(-.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (log1p.f64 (neg.f64 x))) |
(- (+ 1 (* y (- (+ (* y (- (* -1/6 (* y (+ (* -6 (/ (pow (- 1 x) 2) (pow (+ 1 (* -1 x)) 2))) (+ (* 2 (/ (pow (- 1 x) 3) (pow (+ 1 (* -1 x)) 3))) (* 6 (/ (- 1 x) (+ 1 (* -1 x)))))))) (* 1/2 (+ (* -1 (/ (pow (- 1 x) 2) (pow (+ 1 (* -1 x)) 2))) (* 2 (/ (- 1 x) (+ 1 (* -1 x)))))))) (/ x (+ 1 (* -1 x)))) (/ 1 (+ 1 (* -1 x)))))) (log (+ 1 (* -1 x)))) |
(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 (- x 1)) (log (/ 1 y)))) |
(-.f64 (+.f64 #s(literal 1 binary64) (log.f64 y)) (log.f64 (+.f64 #s(literal -1 binary64) x))) |
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(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(* x (+ 1/2 (/ 1 x))) |
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(* x (+ 1/2 (/ 1 x))) |
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(- 1 (+ (log -1) (log x))) |
(-.f64 (-.f64 #s(literal 1 binary64) (log.f64 #s(literal -1 binary64))) (log.f64 x)) |
(- 1 (+ (log -1) (log x))) |
(-.f64 (-.f64 #s(literal 1 binary64) (log.f64 #s(literal -1 binary64))) (log.f64 x)) |
(- 1 (+ (log -1) (log x))) |
(-.f64 (-.f64 #s(literal 1 binary64) (log.f64 #s(literal -1 binary64))) (log.f64 x)) |
(- 1 (+ (log -1) (log x))) |
(-.f64 (-.f64 #s(literal 1 binary64) (log.f64 #s(literal -1 binary64))) (log.f64 x)) |
(- 1 (+ (log -1) (* -1 (log (/ 1 x))))) |
(-.f64 (-.f64 #s(literal 1 binary64) (log.f64 #s(literal -1 binary64))) (log.f64 x)) |
(- 1 (+ (log -1) (* -1 (log (/ 1 x))))) |
(-.f64 (-.f64 #s(literal 1 binary64) (log.f64 #s(literal -1 binary64))) (log.f64 x)) |
(- 1 (+ (log -1) (* -1 (log (/ 1 x))))) |
(-.f64 (-.f64 #s(literal 1 binary64) (log.f64 #s(literal -1 binary64))) (log.f64 x)) |
(- 1 (+ (log -1) (* -1 (log (/ 1 x))))) |
(-.f64 (-.f64 #s(literal 1 binary64) (log.f64 #s(literal -1 binary64))) (log.f64 x)) |
(- 1 (* -1 (log (/ -1 x)))) |
(+.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (neg.f64 x)))) |
(- 1 (* -1 (log (/ -1 x)))) |
(+.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (neg.f64 x)))) |
(- 1 (* -1 (log (/ -1 x)))) |
(+.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (neg.f64 x)))) |
(- 1 (* -1 (log (/ -1 x)))) |
(+.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (neg.f64 x)))) |
(+ (log -1) (log x)) |
(+.f64 (log.f64 x) (log.f64 #s(literal -1 binary64))) |
(+ (log -1) (log x)) |
(+.f64 (log.f64 x) (log.f64 #s(literal -1 binary64))) |
(+ (log -1) (log x)) |
(+.f64 (log.f64 x) (log.f64 #s(literal -1 binary64))) |
(+ (log -1) (log x)) |
(+.f64 (log.f64 x) (log.f64 #s(literal -1 binary64))) |
(+ (log -1) (* -1 (log (/ 1 x)))) |
(+.f64 (log.f64 x) (log.f64 #s(literal -1 binary64))) |
(+ (log -1) (* -1 (log (/ 1 x)))) |
(+.f64 (log.f64 x) (log.f64 #s(literal -1 binary64))) |
(+ (log -1) (* -1 (log (/ 1 x)))) |
(+.f64 (log.f64 x) (log.f64 #s(literal -1 binary64))) |
(+ (log -1) (* -1 (log (/ 1 x)))) |
(+.f64 (log.f64 x) (log.f64 #s(literal -1 binary64))) |
(* -1 (log (/ -1 x))) |
(neg.f64 (neg.f64 (log.f64 (neg.f64 x)))) |
(* -1 (log (/ -1 x))) |
(neg.f64 (neg.f64 (log.f64 (neg.f64 x)))) |
(* -1 (log (/ -1 x))) |
(neg.f64 (neg.f64 (log.f64 (neg.f64 x)))) |
(* -1 (log (/ -1 x))) |
(neg.f64 (neg.f64 (log.f64 (neg.f64 x)))) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(+ 1 (+ (log y) (log (/ 1 (- x 1))))) |
(-.f64 (+.f64 #s(literal 1 binary64) (log.f64 y)) (log.f64 (+.f64 #s(literal -1 binary64) x))) |
(+ 1 (+ (log y) (log (/ 1 (- x 1))))) |
(-.f64 (+.f64 #s(literal 1 binary64) (log.f64 y)) (log.f64 (+.f64 #s(literal -1 binary64) x))) |
(+ 1 (+ (log y) (log (/ 1 (- x 1))))) |
(-.f64 (+.f64 #s(literal 1 binary64) (log.f64 y)) (log.f64 (+.f64 #s(literal -1 binary64) x))) |
(+ 1 (+ (log y) (log (/ 1 (- x 1))))) |
(-.f64 (+.f64 #s(literal 1 binary64) (log.f64 y)) (log.f64 (+.f64 #s(literal -1 binary64) x))) |
(+ 1 (+ (log (/ 1 (- x 1))) (* -1 (log (/ 1 y))))) |
(-.f64 (+.f64 #s(literal 1 binary64) (log.f64 y)) (log.f64 (+.f64 #s(literal -1 binary64) x))) |
(+ 1 (+ (log (/ 1 (- x 1))) (* -1 (log (/ 1 y))))) |
(-.f64 (+.f64 #s(literal 1 binary64) (log.f64 y)) (log.f64 (+.f64 #s(literal -1 binary64) x))) |
(+ 1 (+ (log (/ 1 (- x 1))) (* -1 (log (/ 1 y))))) |
(-.f64 (+.f64 #s(literal 1 binary64) (log.f64 y)) (log.f64 (+.f64 #s(literal -1 binary64) x))) |
(+ 1 (+ (log (/ 1 (- x 1))) (* -1 (log (/ 1 y))))) |
(-.f64 (+.f64 #s(literal 1 binary64) (log.f64 y)) (log.f64 (+.f64 #s(literal -1 binary64) x))) |
(+ 1 (+ (log (/ -1 (- x 1))) (* -1 (log (/ -1 y))))) |
(+.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (neg.f64 y)))) (log.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) x)))) |
(+ 1 (+ (log (/ -1 (- x 1))) (* -1 (log (/ -1 y))))) |
(+.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (neg.f64 y)))) (log.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) x)))) |
(+ 1 (+ (log (/ -1 (- x 1))) (* -1 (log (/ -1 y))))) |
(+.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (neg.f64 y)))) (log.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) x)))) |
(+ 1 (+ (log (/ -1 (- x 1))) (* -1 (log (/ -1 y))))) |
(+.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (neg.f64 y)))) (log.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) x)))) |
(+ 1 (log (* -1 y))) |
(+.f64 #s(literal 1 binary64) (log.f64 (neg.f64 y))) |
(+ 1 (+ x (log (* -1 y)))) |
(+.f64 (log.f64 (neg.f64 y)) (+.f64 #s(literal 1 binary64) x)) |
(+ 1 (+ (log (* -1 y)) (* x (+ 1 (* 1/2 x))))) |
(+.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (log.f64 (neg.f64 y))) |
(+ 1 (+ (log (* -1 y)) (* x (+ 1 (* x (+ 1/2 (* 1/3 x))))))) |
(+.f64 (log.f64 (neg.f64 y)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(+ 1 (+ (log y) (log (/ 1 x)))) |
(+.f64 (-.f64 #s(literal 1 binary64) (log.f64 x)) (log.f64 y)) |
(+ 1 (+ (log y) (+ (log (/ 1 x)) (/ 1 x)))) |
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (log.f64 y) (log.f64 x)))) |
(+ 1 (+ (log y) (+ (log (/ 1 x)) (+ (/ 1/2 (pow x 2)) (/ 1 x))))) |
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (log.f64 x))) (+.f64 #s(literal 1 binary64) (log.f64 y))) |
(+ 1 (+ (log y) (+ (log (/ 1 x)) (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3)))))))) |
(+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (log.f64 x))) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (log.f64 y))) |
(+ 1 (+ (log (* -1 y)) (log (/ -1 x)))) |
(+.f64 (neg.f64 (log.f64 (neg.f64 x))) (+.f64 #s(literal 1 binary64) (log.f64 (neg.f64 y)))) |
(+ 1 (+ (log (* -1 y)) (+ (log (/ -1 x)) (/ 1 x)))) |
(+.f64 (+.f64 #s(literal 1 binary64) (log.f64 (neg.f64 y))) (+.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 (log.f64 (neg.f64 x))))) |
(+ 1 (+ (log (* -1 y)) (+ (log (/ -1 x)) (+ (/ 1/2 (pow x 2)) (/ 1 x))))) |
(+.f64 #s(literal 1 binary64) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (+.f64 (neg.f64 (log.f64 (neg.f64 x))) (log.f64 (neg.f64 y))))) |
(+ 1 (+ (log (* -1 y)) (+ (log (/ -1 x)) (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x))))) |
(+.f64 (+.f64 #s(literal 1 binary64) (log.f64 (neg.f64 y))) (-.f64 (neg.f64 (log.f64 (neg.f64 x))) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x))) |
(+ (log y) (log (/ 1 (- x 1)))) |
(-.f64 (log.f64 y) (log.f64 (+.f64 #s(literal -1 binary64) x))) |
(+ (log y) (log (/ 1 (- x 1)))) |
(-.f64 (log.f64 y) (log.f64 (+.f64 #s(literal -1 binary64) x))) |
(+ (log y) (log (/ 1 (- x 1)))) |
(-.f64 (log.f64 y) (log.f64 (+.f64 #s(literal -1 binary64) x))) |
(+ (log y) (log (/ 1 (- x 1)))) |
(-.f64 (log.f64 y) (log.f64 (+.f64 #s(literal -1 binary64) x))) |
(+ (log (/ 1 (- x 1))) (* -1 (log (/ 1 y)))) |
(-.f64 (log.f64 y) (log.f64 (+.f64 #s(literal -1 binary64) x))) |
(+ (log (/ 1 (- x 1))) (* -1 (log (/ 1 y)))) |
(-.f64 (log.f64 y) (log.f64 (+.f64 #s(literal -1 binary64) x))) |
(+ (log (/ 1 (- x 1))) (* -1 (log (/ 1 y)))) |
(-.f64 (log.f64 y) (log.f64 (+.f64 #s(literal -1 binary64) x))) |
(+ (log (/ 1 (- x 1))) (* -1 (log (/ 1 y)))) |
(-.f64 (log.f64 y) (log.f64 (+.f64 #s(literal -1 binary64) x))) |
(+ (log (/ -1 (- x 1))) (* -1 (log (/ -1 y)))) |
(-.f64 (log.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) x))) (neg.f64 (log.f64 (neg.f64 y)))) |
(+ (log (/ -1 (- x 1))) (* -1 (log (/ -1 y)))) |
(-.f64 (log.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) x))) (neg.f64 (log.f64 (neg.f64 y)))) |
(+ (log (/ -1 (- x 1))) (* -1 (log (/ -1 y)))) |
(-.f64 (log.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) x))) (neg.f64 (log.f64 (neg.f64 y)))) |
(+ (log (/ -1 (- x 1))) (* -1 (log (/ -1 y)))) |
(-.f64 (log.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) x))) (neg.f64 (log.f64 (neg.f64 y)))) |
(log (* -1 y)) |
(log.f64 (neg.f64 y)) |
(+ x (log (* -1 y))) |
(+.f64 x (log.f64 (neg.f64 y))) |
(+ (log (* -1 y)) (* x (+ 1 (* 1/2 x)))) |
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (log.f64 (neg.f64 y))) |
(+ (log (* -1 y)) (* x (+ 1 (* x (+ 1/2 (* 1/3 x)))))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (log.f64 (neg.f64 y))) |
(+ (log y) (log (/ 1 x))) |
(-.f64 (log.f64 y) (log.f64 x)) |
(+ (log y) (+ (log (/ 1 x)) (/ 1 x))) |
(+.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (log.f64 y) (log.f64 x))) |
(+ (log y) (+ (log (/ 1 x)) (+ (/ 1/2 (pow x 2)) (/ 1 x)))) |
(+.f64 (log.f64 y) (+.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (log.f64 x)))) |
(+ (log y) (+ (log (/ 1 x)) (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))))) |
(+.f64 (log.f64 y) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (log.f64 x))) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x))))) |
(+ (log (* -1 y)) (log (/ -1 x))) |
(+.f64 (neg.f64 (log.f64 (neg.f64 x))) (log.f64 (neg.f64 y))) |
(+ (log (* -1 y)) (+ (log (/ -1 x)) (/ 1 x))) |
(+.f64 (neg.f64 (log.f64 (neg.f64 x))) (+.f64 (log.f64 (neg.f64 y)) (/.f64 #s(literal 1 binary64) x))) |
(+ (log (* -1 y)) (+ (log (/ -1 x)) (+ (/ 1/2 (pow x 2)) (/ 1 x)))) |
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (+.f64 (neg.f64 (log.f64 (neg.f64 x))) (log.f64 (neg.f64 y)))) |
(+ (log (* -1 y)) (+ (log (/ -1 x)) (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x)))) |
(-.f64 (+.f64 (neg.f64 (log.f64 (neg.f64 x))) (log.f64 (neg.f64 y))) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x)) |
(/ y (- x 1)) |
(/.f64 y (+.f64 #s(literal -1 binary64) x)) |
(/ y (- x 1)) |
(/.f64 y (+.f64 #s(literal -1 binary64) x)) |
(/ y (- x 1)) |
(/.f64 y (+.f64 #s(literal -1 binary64) x)) |
(/ y (- x 1)) |
(/.f64 y (+.f64 #s(literal -1 binary64) x)) |
(/ y (- x 1)) |
(/.f64 y (+.f64 #s(literal -1 binary64) x)) |
(/ y (- x 1)) |
(/.f64 y (+.f64 #s(literal -1 binary64) x)) |
(/ y (- x 1)) |
(/.f64 y (+.f64 #s(literal -1 binary64) x)) |
(/ y (- x 1)) |
(/.f64 y (+.f64 #s(literal -1 binary64) x)) |
(/ y (- x 1)) |
(/.f64 y (+.f64 #s(literal -1 binary64) x)) |
(/ y (- x 1)) |
(/.f64 y (+.f64 #s(literal -1 binary64) x)) |
(/ y (- x 1)) |
(/.f64 y (+.f64 #s(literal -1 binary64) x)) |
(/ y (- x 1)) |
(/.f64 y (+.f64 #s(literal -1 binary64) x)) |
(* -1 y) |
(neg.f64 y) |
(+ (* -1 y) (* -1 (* x y))) |
(neg.f64 (fma.f64 y x y)) |
(+ (* -1 y) (* x (- (* -1 (* x y)) y))) |
(fma.f64 (neg.f64 x) (fma.f64 y x y) (neg.f64 y)) |
(+ (* -1 y) (* x (- (* x (- (* -1 (* x y)) y)) y))) |
(fma.f64 x (fma.f64 (neg.f64 x) (fma.f64 y x y) (neg.f64 y)) (neg.f64 y)) |
(/ y x) |
(/.f64 y x) |
(/ (+ y (/ y x)) x) |
(/.f64 (+.f64 y (/.f64 y x)) x) |
(/ (- (+ y (/ y (pow x 2))) (* -1 (/ y x))) x) |
(/.f64 (+.f64 y (/.f64 (+.f64 y (/.f64 y x)) x)) x) |
(/ (- (+ y (/ y (pow x 3))) (+ (* -1 (/ y x)) (* -1 (/ y (pow x 2))))) x) |
(/.f64 (+.f64 y (/.f64 (+.f64 y (/.f64 (+.f64 y (/.f64 y x)) x)) x)) x) |
(/ y x) |
(/.f64 y x) |
(* -1 (/ (+ (* -1 y) (* -1 (/ y x))) x)) |
(/.f64 (+.f64 y (/.f64 y x)) x) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (+ y (/ y x)) x))) x)) |
(/.f64 (+.f64 y (/.f64 (+.f64 y (/.f64 y x)) x)) x) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (+ y (* -1 (/ (+ (* -1 y) (* -1 (/ y x))) x))) x))) x)) |
(/.f64 (+.f64 y (/.f64 (+.f64 y (/.f64 (+.f64 y (/.f64 y x)) x)) x)) x) |
-1 |
#s(literal -1 binary64) |
(- x 1) |
(+.f64 #s(literal -1 binary64) x) |
(- x 1) |
(+.f64 #s(literal -1 binary64) x) |
(- x 1) |
(+.f64 #s(literal -1 binary64) x) |
x |
(* x (- 1 (/ 1 x))) |
(+.f64 #s(literal -1 binary64) x) |
(* x (- 1 (/ 1 x))) |
(+.f64 #s(literal -1 binary64) x) |
(* x (- 1 (/ 1 x))) |
(+.f64 #s(literal -1 binary64) x) |
x |
(* -1 (* x (- (/ 1 x) 1))) |
(+.f64 #s(literal -1 binary64) x) |
(* -1 (* x (- (/ 1 x) 1))) |
(+.f64 #s(literal -1 binary64) x) |
(* -1 (* x (- (/ 1 x) 1))) |
(+.f64 #s(literal -1 binary64) x) |
(/ x (- y 1)) |
(/.f64 x (+.f64 y #s(literal -1 binary64))) |
(/ x (- y 1)) |
(/.f64 x (+.f64 y #s(literal -1 binary64))) |
(/ x (- y 1)) |
(/.f64 x (+.f64 y #s(literal -1 binary64))) |
(/ x (- y 1)) |
(/.f64 x (+.f64 y #s(literal -1 binary64))) |
(/ x (- y 1)) |
(/.f64 x (+.f64 y #s(literal -1 binary64))) |
(/ x (- y 1)) |
(/.f64 x (+.f64 y #s(literal -1 binary64))) |
(/ x (- y 1)) |
(/.f64 x (+.f64 y #s(literal -1 binary64))) |
(/ x (- y 1)) |
(/.f64 x (+.f64 y #s(literal -1 binary64))) |
(/ x (- y 1)) |
(/.f64 x (+.f64 y #s(literal -1 binary64))) |
(/ x (- y 1)) |
(/.f64 x (+.f64 y #s(literal -1 binary64))) |
(/ x (- y 1)) |
(/.f64 x (+.f64 y #s(literal -1 binary64))) |
(/ x (- y 1)) |
(/.f64 x (+.f64 y #s(literal -1 binary64))) |
(* -1 x) |
(neg.f64 x) |
(+ (* -1 x) (* -1 (* x y))) |
(neg.f64 (fma.f64 y x x)) |
(+ (* -1 x) (* y (- (* -1 (* x y)) x))) |
(fma.f64 (neg.f64 y) (fma.f64 y x x) (neg.f64 x)) |
(+ (* -1 x) (* y (- (* y (- (* -1 (* x y)) x)) x))) |
(fma.f64 y (fma.f64 (neg.f64 y) (fma.f64 y x x) (neg.f64 x)) (neg.f64 x)) |
(/ 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 (/.f64 x y)) y)) y) |
(/ (- (+ x (/ x (pow y 3))) (+ (* -1 (/ x y)) (* -1 (/ x (pow y 2))))) y) |
(/.f64 (+.f64 x (/.f64 (+.f64 x (/.f64 (+.f64 x (/.f64 x y)) 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) |
Compiled 17 734 to 2 376 computations (86.6% saved)
27 alts after pruning (16 fresh and 11 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 765 | 7 | 772 |
| Fresh | 3 | 9 | 12 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 8 | 8 |
| Total | 770 | 27 | 797 |
| Status | Accuracy | Program |
|---|---|---|
| 38.0% | (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) | |
| 41.3% | (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)) | |
| ✓ | 40.8% | (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
| 40.2% | (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) | |
| ✓ | 59.2% | (-.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))) |
| ✓ | 60.1% | (-.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 x))) |
| ✓ | 40.9% | (-.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)))) |
| 61.3% | (-.f64 #s(literal 1 binary64) (log1p.f64 (fma.f64 x (/.f64 y (fma.f64 y (neg.f64 x) x)) (neg.f64 x)))) | |
| ✓ | 71.3% | (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) |
| 39.6% | (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)))) | |
| ✓ | 61.2% | (-.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x))) |
| 41.1% | (-.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))) | |
| 40.0% | (-.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 x #s(literal -1 binary64)) y)) y))) | |
| ✓ | 41.7% | (-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))))) |
| 39.0% | (-.f64 #s(literal 1 binary64) y) | |
| 23.6% | (+.f64 (+.f64 x (log.f64 (neg.f64 y))) #s(literal 1 binary64)) | |
| 40.8% | (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) x) | |
| ✓ | 41.7% | (+.f64 (log.f64 (/.f64 y (+.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64)) |
| 20.8% | (+.f64 (log.f64 (/.f64 y x)) #s(literal 1 binary64)) | |
| 25.8% | (+.f64 (log.f64 (neg.f64 y)) #s(literal 1 binary64)) | |
| 39.8% | (+.f64 #s(literal 1 binary64) (-.f64 x y)) | |
| 41.4% | (+.f64 #s(literal 1 binary64) x) | |
| ✓ | 2.8% | (*.f64 y (*.f64 y #s(literal -1/2 binary64))) |
| 3.3% | (*.f64 x (*.f64 x #s(literal 1/2 binary64))) | |
| 3.1% | (neg.f64 (fma.f64 y (*.f64 y #s(literal 1/2 binary64)) y)) | |
| ✓ | 4.3% | (neg.f64 y) |
| ✓ | 41.1% | #s(literal 1 binary64) |
Compiled 588 to 303 computations (48.5% 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 x (*.f64 x #s(literal 1/2 binary64))) |
(*.f64 y (*.f64 y #s(literal -1/2 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)) |
(neg.f64 (fma.f64 y (*.f64 y #s(literal 1/2 binary64)) y)) |
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) x) |
(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)) |
(-.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 (log.f64 (neg.f64 y)) #s(literal 1 binary64)) |
(-.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) (neg.f64 (log.f64 (neg.f64 y)))) |
(+.f64 (+.f64 x (log.f64 (neg.f64 y))) #s(literal 1 binary64)) |
(-.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 x))) |
(-.f64 (+.f64 #s(literal 1 binary64) x) (neg.f64 (log.f64 (neg.f64 y)))) |
(+.f64 (log.f64 (/.f64 y x)) #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x y))) |
(+.f64 (log.f64 (/.f64 y (+.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))))) |
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y))) |
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)))) |
(-.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (log1p.f64 (neg.f64 x))) |
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) |
(-.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 (fma.f64 x (/.f64 y (fma.f64 y (neg.f64 x) x)) (neg.f64 x)))) |
(-.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 (+.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 x #s(literal -1 binary64)) y)) y))) |
(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 y (fma.f64 y x (neg.f64 x))) (/.f64 x #s(literal 1 binary64)))))) |
(-.f64 #s(literal 1 binary64) (log1p.f64 (fma.f64 x (/.f64 y (fma.f64 y (neg.f64 x) x)) (/.f64 x (+.f64 y #s(literal -1 binary64)))))) |
(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 y (fma.f64 y x (neg.f64 x))) (/.f64 x (-.f64 #s(literal 1 binary64) y)))))) |
(-.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:
| 14.0ms | x |
| 13.0ms | (-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) |
| 12.0ms | (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) |
| 10.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| 10.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 79.2% | 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 x (*.f64 x #s(literal 1/2 binary64))) |
(*.f64 y (*.f64 y #s(literal -1/2 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)) |
(neg.f64 (fma.f64 y (*.f64 y #s(literal 1/2 binary64)) y)) |
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) x) |
(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)) |
(-.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 (log.f64 (neg.f64 y)) #s(literal 1 binary64)) |
(-.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) (neg.f64 (log.f64 (neg.f64 y)))) |
(+.f64 (+.f64 x (log.f64 (neg.f64 y))) #s(literal 1 binary64)) |
(-.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 x))) |
(-.f64 (+.f64 #s(literal 1 binary64) x) (neg.f64 (log.f64 (neg.f64 y)))) |
(+.f64 (log.f64 (/.f64 y x)) #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x y))) |
(+.f64 (log.f64 (/.f64 y (+.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))))) |
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y))) |
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)))) |
(-.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (log1p.f64 (neg.f64 x))) |
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) |
(-.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 (fma.f64 x (/.f64 y (fma.f64 y (neg.f64 x) x)) (neg.f64 x)))) |
(-.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 (+.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 x #s(literal -1 binary64)) y)) y))) |
(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 y (fma.f64 y x (neg.f64 x))) (/.f64 x #s(literal 1 binary64)))))) |
(-.f64 #s(literal 1 binary64) (log1p.f64 (fma.f64 x (/.f64 y (fma.f64 y (neg.f64 x) x)) (/.f64 x (+.f64 y #s(literal -1 binary64)))))) |
(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 y (fma.f64 y x (neg.f64 x))) (/.f64 x (-.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) (+.f64 x (/.f64 (+.f64 #s(literal -1 binary64) x) y))) y))) |
4 calls:
| 27.0ms | (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 | (-.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 |
|---|---|---|
| 99.9% | 2 | (-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) |
| 99.9% | 2 | (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))) |
| 99.9% | 2 | (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) |
| 99.9% | 2 | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
Compiled 46 to 30 computations (34.8% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
(neg.f64 y) |
(+.f64 #s(literal 1 binary64) x) |
(-.f64 #s(literal 1 binary64) y) |
(+.f64 #s(literal 1 binary64) (-.f64 x y)) |
(*.f64 x (*.f64 x #s(literal 1/2 binary64))) |
(*.f64 y (*.f64 y #s(literal -1/2 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)) |
(neg.f64 (fma.f64 y (*.f64 y #s(literal 1/2 binary64)) y)) |
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) x) |
(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)) |
(-.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 (log.f64 (neg.f64 y)) #s(literal 1 binary64)) |
(-.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) (neg.f64 (log.f64 (neg.f64 y)))) |
(+.f64 (+.f64 x (log.f64 (neg.f64 y))) #s(literal 1 binary64)) |
(-.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 x))) |
(-.f64 (+.f64 #s(literal 1 binary64) x) (neg.f64 (log.f64 (neg.f64 y)))) |
(+.f64 (log.f64 (/.f64 y x)) #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x y))) |
(+.f64 (log.f64 (/.f64 y (+.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))))) |
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y))) |
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)))) |
(-.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (log1p.f64 (neg.f64 x))) |
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) |
(-.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 (fma.f64 x (/.f64 y (fma.f64 y (neg.f64 x) x)) (neg.f64 x)))) |
| Outputs |
|---|
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) |
(+.f64 (log.f64 (/.f64 y (+.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64)) |
4 calls:
| 17.0ms | (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))) |
| 9.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| 8.0ms | (-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) |
| 7.0ms | (-.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 x (*.f64 x #s(literal 1/2 binary64))) |
(*.f64 y (*.f64 y #s(literal -1/2 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)) |
(neg.f64 (fma.f64 y (*.f64 y #s(literal 1/2 binary64)) y)) |
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) x) |
(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)) |
(-.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 (log.f64 (neg.f64 y)) #s(literal 1 binary64)) |
(-.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) (neg.f64 (log.f64 (neg.f64 y)))) |
(+.f64 (+.f64 x (log.f64 (neg.f64 y))) #s(literal 1 binary64)) |
(-.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 x))) |
(-.f64 (+.f64 #s(literal 1 binary64) x) (neg.f64 (log.f64 (neg.f64 y)))) |
(+.f64 (log.f64 (/.f64 y x)) #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x y))) |
(+.f64 (log.f64 (/.f64 y (+.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))))) |
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y))) |
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)))) |
(-.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (log1p.f64 (neg.f64 x))) |
| Outputs |
|---|
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))))) |
(-.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (log1p.f64 (neg.f64 x))) |
(+.f64 (log.f64 (/.f64 y (+.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64)) |
5 calls:
| 10.0ms | (/.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)))) |
| 8.0ms | y |
| 8.0ms | (-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) |
| 7.0ms | (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.6% | 3 | y |
| 98.8% | 3 | (-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) |
| 98.8% | 3 | (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))) |
| 98.8% | 3 | (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) |
| 98.8% | 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 x (*.f64 x #s(literal 1/2 binary64))) |
(*.f64 y (*.f64 y #s(literal -1/2 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)) |
(neg.f64 (fma.f64 y (*.f64 y #s(literal 1/2 binary64)) y)) |
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) x) |
(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)) |
(-.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 (log.f64 (neg.f64 y)) #s(literal 1 binary64)) |
(-.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) (neg.f64 (log.f64 (neg.f64 y)))) |
(+.f64 (+.f64 x (log.f64 (neg.f64 y))) #s(literal 1 binary64)) |
(-.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 x))) |
(-.f64 (+.f64 #s(literal 1 binary64) x) (neg.f64 (log.f64 (neg.f64 y)))) |
(+.f64 (log.f64 (/.f64 y x)) #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x y))) |
(+.f64 (log.f64 (/.f64 y (+.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))))) |
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y))) |
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 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 (log.f64 (/.f64 y (+.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64)) |
5 calls:
| 9.0ms | (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)) |
| 7.0ms | (-.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 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.4% | 3 | y |
| 98.6% | 3 | (-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) |
| 98.6% | 3 | (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))) |
| 98.6% | 3 | (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) |
| 98.6% | 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 x (*.f64 x #s(literal 1/2 binary64))) |
(*.f64 y (*.f64 y #s(literal -1/2 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)) |
(neg.f64 (fma.f64 y (*.f64 y #s(literal 1/2 binary64)) y)) |
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) x) |
(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)) |
(-.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 (log.f64 (neg.f64 y)) #s(literal 1 binary64)) |
(-.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) (neg.f64 (log.f64 (neg.f64 y)))) |
(+.f64 (+.f64 x (log.f64 (neg.f64 y))) #s(literal 1 binary64)) |
(-.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 x))) |
(-.f64 (+.f64 #s(literal 1 binary64) x) (neg.f64 (log.f64 (neg.f64 y)))) |
(+.f64 (log.f64 (/.f64 y x)) #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x y))) |
(+.f64 (log.f64 (/.f64 y (+.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64)) |
| Outputs |
|---|
(+.f64 (log.f64 (/.f64 y (+.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64)) |
(-.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 x))) |
(+.f64 (log.f64 (/.f64 y (+.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64)) |
5 calls:
| 11.0ms | (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 |
| 7.0ms | (-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) |
| 6.0ms | (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.4% | 3 | y |
| 89.7% | 2 | (-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) |
| 89.7% | 2 | (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))) |
| 89.7% | 2 | (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) |
| 89.7% | 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 x (*.f64 x #s(literal 1/2 binary64))) |
(*.f64 y (*.f64 y #s(literal -1/2 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)) |
(neg.f64 (fma.f64 y (*.f64 y #s(literal 1/2 binary64)) y)) |
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) x) |
(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)) |
(-.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 (log.f64 (neg.f64 y)) #s(literal 1 binary64)) |
(-.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) (neg.f64 (log.f64 (neg.f64 y)))) |
(+.f64 (+.f64 x (log.f64 (neg.f64 y))) #s(literal 1 binary64)) |
(-.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 x))) |
(-.f64 (+.f64 #s(literal 1 binary64) x) (neg.f64 (log.f64 (neg.f64 y)))) |
(+.f64 (log.f64 (/.f64 y x)) #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x y))) |
| Outputs |
|---|
(+.f64 (log.f64 (neg.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))) |
1 calls:
| 7.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.6% | 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 x (*.f64 x #s(literal 1/2 binary64))) |
(*.f64 y (*.f64 y #s(literal -1/2 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)) |
(neg.f64 (fma.f64 y (*.f64 y #s(literal 1/2 binary64)) y)) |
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) x) |
(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)) |
(-.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 (log.f64 (neg.f64 y)) #s(literal 1 binary64)) |
(-.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) (neg.f64 (log.f64 (neg.f64 y)))) |
(+.f64 (+.f64 x (log.f64 (neg.f64 y))) #s(literal 1 binary64)) |
(-.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 x))) |
(-.f64 (+.f64 #s(literal 1 binary64) x) (neg.f64 (log.f64 (neg.f64 y)))) |
(+.f64 (log.f64 (/.f64 y x)) #s(literal 1 binary64)) |
| Outputs |
|---|
(+.f64 (log.f64 (neg.f64 y)) #s(literal 1 binary64)) |
(-.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 x))) |
(+.f64 (log.f64 (/.f64 y x)) #s(literal 1 binary64)) |
1 calls:
| 7.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.6% | 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 x (*.f64 x #s(literal 1/2 binary64))) |
(*.f64 y (*.f64 y #s(literal -1/2 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)) |
(neg.f64 (fma.f64 y (*.f64 y #s(literal 1/2 binary64)) y)) |
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) x) |
(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)) |
(-.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 (log.f64 (neg.f64 y)) #s(literal 1 binary64)) |
(-.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) (neg.f64 (log.f64 (neg.f64 y)))) |
(+.f64 (+.f64 x (log.f64 (neg.f64 y))) #s(literal 1 binary64)) |
(-.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 x))) |
(-.f64 (+.f64 #s(literal 1 binary64) x) (neg.f64 (log.f64 (neg.f64 y)))) |
| Outputs |
|---|
(+.f64 (log.f64 (neg.f64 y)) #s(literal 1 binary64)) |
(-.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 x))) |
5 calls:
| 8.0ms | y |
| 6.0ms | (/.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)))) |
| 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))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 82.0% | 2 | (-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) |
| 82.0% | 2 | (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))) |
| 82.0% | 2 | (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) |
| 82.0% | 2 | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| 82.0% | 2 | y |
Compiled 49 to 32 computations (34.7% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
(neg.f64 y) |
(+.f64 #s(literal 1 binary64) x) |
(-.f64 #s(literal 1 binary64) y) |
(+.f64 #s(literal 1 binary64) (-.f64 x y)) |
(*.f64 x (*.f64 x #s(literal 1/2 binary64))) |
(*.f64 y (*.f64 y #s(literal -1/2 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)) |
(neg.f64 (fma.f64 y (*.f64 y #s(literal 1/2 binary64)) y)) |
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) x) |
(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)) |
(-.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 (log.f64 (neg.f64 y)) #s(literal 1 binary64)) |
(-.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) (neg.f64 (log.f64 (neg.f64 y)))) |
(+.f64 (+.f64 x (log.f64 (neg.f64 y))) #s(literal 1 binary64)) |
| Outputs |
|---|
(-.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x))) |
(+.f64 (log.f64 (neg.f64 y)) #s(literal 1 binary64)) |
5 calls:
| 8.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| 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))))) |
| 5.0ms | (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))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 81.3% | 2 | (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))) |
| 81.3% | 2 | (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) |
| 81.3% | 2 | (-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) |
| 81.3% | 2 | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| 81.0% | 2 | y |
Compiled 49 to 32 computations (34.7% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
(neg.f64 y) |
(+.f64 #s(literal 1 binary64) x) |
(-.f64 #s(literal 1 binary64) y) |
(+.f64 #s(literal 1 binary64) (-.f64 x y)) |
(*.f64 x (*.f64 x #s(literal 1/2 binary64))) |
(*.f64 y (*.f64 y #s(literal -1/2 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)) |
(neg.f64 (fma.f64 y (*.f64 y #s(literal 1/2 binary64)) y)) |
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) x) |
(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)) |
(-.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 (log.f64 (neg.f64 y)) #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) (log.f64 (neg.f64 x))) |
| Outputs |
|---|
(-.f64 #s(literal 1 binary64) (log.f64 (neg.f64 x))) |
(+.f64 #s(literal 1 binary64) (-.f64 x y)) |
(+.f64 (log.f64 (neg.f64 y)) #s(literal 1 binary64)) |
5 calls:
| 6.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| 6.0ms | 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))))) |
| 4.0ms | (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) |
| 4.0ms | (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 63.4% | 3 | y |
| 80.8% | 3 | (-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) |
| 80.8% | 3 | (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))) |
| 80.8% | 3 | (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) |
| 80.8% | 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 x (*.f64 x #s(literal 1/2 binary64))) |
(*.f64 y (*.f64 y #s(literal -1/2 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)) |
(neg.f64 (fma.f64 y (*.f64 y #s(literal 1/2 binary64)) y)) |
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) x) |
(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)) |
(-.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 (log.f64 (neg.f64 y)) #s(literal 1 binary64)) |
| Outputs |
|---|
(+.f64 #s(literal 1 binary64) (-.f64 x y)) |
(+.f64 (log.f64 (neg.f64 y)) #s(literal 1 binary64)) |
6 calls:
| 21.0ms | (-.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 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| 5.0ms | x |
| 5.0ms | y |
| 4.0ms | (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 61.7% | 2 | y |
| 43.7% | 2 | x |
| 61.7% | 2 | (-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) |
| 61.7% | 2 | (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))) |
| 61.7% | 2 | (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) |
| 61.7% | 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 x (*.f64 x #s(literal 1/2 binary64))) |
(*.f64 y (*.f64 y #s(literal -1/2 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)) |
(neg.f64 (fma.f64 y (*.f64 y #s(literal 1/2 binary64)) y)) |
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) x) |
(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)) |
(-.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)))) |
| Outputs |
|---|
(+.f64 #s(literal 1 binary64) x) |
6 calls:
| 15.0ms | y |
| 5.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| 4.0ms | x |
| 4.0ms | (-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) |
| 4.0ms | (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 41.4% | 1 | x |
| 41.4% | 1 | y |
| 41.4% | 1 | (-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) |
| 41.4% | 1 | (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))) |
| 41.4% | 1 | (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) |
| 41.4% | 1 | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
Compiled 52 to 34 computations (34.6% saved)
Total -24.1b remaining (-64.1%)
Threshold costs -24.1b (-64.1%)
| Inputs |
|---|
#s(literal 1 binary64) |
(neg.f64 y) |
| Outputs |
|---|
#s(literal 1 binary64) |
6 calls:
| 1.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| 1.0ms | x |
| 1.0ms | y |
| 1.0ms | (-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) |
| 1.0ms | (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 41.1% | 1 | (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))) |
| 41.1% | 1 | (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) |
| 41.1% | 1 | y |
| 41.1% | 1 | x |
| 41.1% | 1 | (-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) |
| 41.1% | 1 | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
Compiled 52 to 34 computations (34.6% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.3140481837837782 | 0.9432075978440484 |
Compiled 17 to 15 computations (11.8% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.3140481837837782 | 0.9432075978440484 |
Compiled 17 to 15 computations (11.8% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9999989959382328 | 0.9999999999584929 |
Compiled 17 to 15 computations (11.8% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.3140481837837782 | 0.9432075978440484 |
| 0.0ms | -1802889.4351084242 | -4097.503073583969 |
Compiled 17 to 15 computations (11.8% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.3140481837837782 | 0.9432075978440484 |
| 1.0ms | -1802889.4351084242 | -4097.503073583969 |
Compiled 17 to 15 computations (11.8% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 68.0ms | 8.130036392227263e-5 | 132.11080772104012 |
| 15.0ms | -995953.6639954146 | -0.45782834356514884 |
| 40.0ms | 627× | 0 | invalid |
| 18.0ms | 288× | 0 | valid |
Compiled 395 to 320 computations (19% saved)
ival-sub: 16.0ms (47.4% of total)ival-div: 9.0ms (26.7% of total)ival-log: 7.0ms (20.7% of total)ival-true: 1.0ms (3% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 80.0ms | 8.130036392227263e-5 | 132.11080772104012 |
| 17.0ms | -995953.6639954146 | -0.45782834356514884 |
| 49.0ms | 810× | 0 | invalid |
| 21.0ms | 288× | 0 | valid |
Compiled 350 to 284 computations (18.9% saved)
ival-sub: 23.0ms (54.1% of total)ival-log: 10.0ms (23.5% of total)ival-div: 8.0ms (18.8% of total)ival-true: 1.0ms (2.4% of total)exact: 1.0ms (2.4% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 134.0ms | 8.130036392227263e-5 | 132.11080772104012 |
| 15.0ms | -995953.6639954146 | -0.45782834356514884 |
| 100.0ms | 862× | 0 | invalid |
| 20.0ms | 288× | 0 | valid |
Compiled 350 to 284 computations (18.9% saved)
ival-sub: 22.0ms (45.9% of total)ival-log: 16.0ms (33.4% of total)ival-div: 9.0ms (18.8% of total)ival-true: 1.0ms (2.1% of total)exact: 1.0ms (2.1% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 17.0ms | -995953.6639954146 | -0.45782834356514884 |
| 9.0ms | 144× | 0 | valid |
| 1.0ms | 18× | 0 | invalid |
Compiled 179 to 149 computations (16.8% saved)
ival-sub: 3.0ms (48.8% of total)ival-log: 2.0ms (32.5% of total)ival-div: 1.0ms (16.3% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.3140481837837782 | 0.9432075978440484 |
Compiled 17 to 15 computations (11.8% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.3140481837837782 | 0.9432075978440484 |
| 0.0ms | -6.113554322517521 | -0.008214981310229874 |
Compiled 17 to 15 computations (11.8% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.3140481837837782 | 0.9432075978440484 |
Compiled 17 to 15 computations (11.8% saved)
| 1× | egg-herbie |
| 60× | +-commutative_binary64 |
| 40× | sub-neg_binary64 |
| 18× | *-commutative_binary64 |
| 18× | neg-sub0_binary64 |
| 18× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 84 | 363 |
| 1 | 122 | 363 |
| 2 | 151 | 363 |
| 3 | 167 | 363 |
| 4 | 174 | 363 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 1/2 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 1/2 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 9007190247541737/9007199254740992 binary64)) (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) (+.f64 (log.f64 (/.f64 y (+.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal -1000000 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 1/2 binary64)) (-.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (log1p.f64 (neg.f64 x))) (+.f64 (log.f64 (/.f64 y (+.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64)))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal -1000000 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 1/2 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 x))) (+.f64 (log.f64 (/.f64 y (+.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64)))) |
(if (<=.f64 y #s(literal -7/4 binary64)) (+.f64 (log.f64 (/.f64 y (+.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64)) (if (<=.f64 y #s(literal 1 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 x))) (+.f64 (log.f64 (/.f64 y (+.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64)))) |
(if (<=.f64 y #s(literal -4278419646001971/281474976710656 binary64)) (+.f64 (log.f64 (neg.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 -25 binary64)) (+.f64 (log.f64 (neg.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 (log.f64 (/.f64 y x)) #s(literal 1 binary64)))) |
(if (<=.f64 y #s(literal -23/2 binary64)) (+.f64 (log.f64 (neg.f64 y)) #s(literal 1 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 x)))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x))) (+.f64 (log.f64 (neg.f64 y)) #s(literal 1 binary64))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal -5 binary64)) (-.f64 #s(literal 1 binary64) (log.f64 (neg.f64 x))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 x y)) (+.f64 (log.f64 (neg.f64 y)) #s(literal 1 binary64)))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 x y)) (+.f64 (log.f64 (neg.f64 y)) #s(literal 1 binary64))) |
(+.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
| Outputs |
|---|
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 1/2 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 1/2 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 1/2 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 1/2 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 9007190247541737/9007199254740992 binary64)) (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) (+.f64 (log.f64 (/.f64 y (+.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 9007190247541737/9007199254740992 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 y (+.f64 x #s(literal -1 binary64)))))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal -1000000 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 1/2 binary64)) (-.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (log1p.f64 (neg.f64 x))) (+.f64 (log.f64 (/.f64 y (+.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64)))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal -1000000 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 1/2 binary64)) (-.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (log1p.f64 (neg.f64 x))) (+.f64 #s(literal 1 binary64) (log.f64 (/.f64 y (+.f64 x #s(literal -1 binary64))))))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal -1000000 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 1/2 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 x))) (+.f64 (log.f64 (/.f64 y (+.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64)))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal -1000000 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 1/2 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 x))) (+.f64 #s(literal 1 binary64) (log.f64 (/.f64 y (+.f64 x #s(literal -1 binary64))))))) |
(if (<=.f64 y #s(literal -7/4 binary64)) (+.f64 (log.f64 (/.f64 y (+.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64)) (if (<=.f64 y #s(literal 1 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 x))) (+.f64 (log.f64 (/.f64 y (+.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64)))) |
(if (<=.f64 y #s(literal -7/4 binary64)) (+.f64 #s(literal 1 binary64) (log.f64 (/.f64 y (+.f64 x #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 y (+.f64 x #s(literal -1 binary64))))))) |
(if (<=.f64 y #s(literal -4278419646001971/281474976710656 binary64)) (+.f64 (log.f64 (neg.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 -4278419646001971/281474976710656 binary64)) (+.f64 #s(literal 1 binary64) (log.f64 (neg.f64 y))) (if (<=.f64 y #s(literal 1 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 x))) (-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x y))))) |
(if (<=.f64 y #s(literal -25 binary64)) (+.f64 (log.f64 (neg.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 (log.f64 (/.f64 y x)) #s(literal 1 binary64)))) |
(if (<=.f64 y #s(literal -25 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 y x))))) |
(if (<=.f64 y #s(literal -23/2 binary64)) (+.f64 (log.f64 (neg.f64 y)) #s(literal 1 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 x)))) |
(if (<=.f64 y #s(literal -23/2 binary64)) (+.f64 #s(literal 1 binary64) (log.f64 (neg.f64 y))) (-.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 x)))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x))) (+.f64 (log.f64 (neg.f64 y)) #s(literal 1 binary64))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x))) (+.f64 #s(literal 1 binary64) (log.f64 (neg.f64 y)))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal -5 binary64)) (-.f64 #s(literal 1 binary64) (log.f64 (neg.f64 x))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 x y)) (+.f64 (log.f64 (neg.f64 y)) #s(literal 1 binary64)))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal -5 binary64)) (-.f64 #s(literal 1 binary64) (log.f64 (neg.f64 x))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64)) (+.f64 (-.f64 x y) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (log.f64 (neg.f64 y))))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 x y)) (+.f64 (log.f64 (neg.f64 y)) #s(literal 1 binary64))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64)) (+.f64 (-.f64 x y) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (log.f64 (neg.f64 y)))) |
(+.f64 #s(literal 1 binary64) x) |
(+.f64 x #s(literal 1 binary64)) |
#s(literal 1 binary64) |
| 8 356× | accelerator-lowering-fma.f32 |
| 8 356× | accelerator-lowering-fma.f64 |
| 6 956× | accelerator-lowering-fma.f32 |
| 6 956× | accelerator-lowering-fma.f64 |
| 6 808× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 656 | 5045 |
| 1 | 2105 | 4150 |
| 2 | 6946 | 4045 |
| 0 | 8108 | 3843 |
| 0 | 592 | 3755 |
| 1 | 1829 | 3308 |
| 2 | 5801 | 2888 |
| 0 | 8885 | 2753 |
| 0 | 29 | 150 |
| 1 | 228 | 150 |
| 2 | 2227 | 150 |
| 0 | 8981 | 135 |
| 0 | 439 | 2658 |
| 1 | 1420 | 2052 |
| 2 | 4943 | 1821 |
| 0 | 8672 | 1728 |
| 0 | 548 | 3738 |
| 1 | 1658 | 3295 |
| 2 | 5339 | 2883 |
| 0 | 9492 | 2761 |
| 0 | 9 | 41 |
| 1 | 71 | 41 |
| 2 | 656 | 41 |
| 0 | 8707 | 37 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 794 to 425 computations (46.5% saved)
Compiled 882 to 232 computations (73.7% saved)
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