
Time bar (total: 11.5s)
| 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)
| 482.0ms | 5 982× | 0 | valid |
| 428.0ms | 2 274× | 1 | valid |
| 168.0ms | 1 101× | 1 | invalid |
| 156.0ms | 1 644× | 0 | invalid |
ival-sub: 359.0ms (40.6% of total)ival-log: 258.0ms (29.2% of total)ival-div: 146.0ms (16.5% of total)adjust: 99.0ms (11.2% of total)exact: 8.0ms (0.9% of total)ival-true: 8.0ms (0.9% of total)ival-assert: 4.0ms (0.5% 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 |
|---|---|---|---|---|---|
| 114 | 0 | - | 0 | - | (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))) |
| 67 | 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 | 114 | 0 |
-.f64 | (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) | cancellation | 67 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 67 | 0 |
| - | 114 | 75 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 67 | 0 | 0 |
| - | 114 | 0 | 75 |
| number | freq |
|---|---|
| 0 | 75 |
| 1 | 181 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 281.0ms | 330× | 1 | valid |
| 13.0ms | 156× | 0 | valid |
| 10.0ms | 26× | 2 | valid |
Compiled 126 to 40 computations (68.3% saved)
ival-log: 245.0ms (87% of total)ival-sub: 17.0ms (6% of total)adjust: 10.0ms (3.5% of total)ival-div: 8.0ms (2.8% of total)exact: 1.0ms (0.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)Compiled 2 to 2 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 74.9% | (-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) |
Compiled 14 to 9 computations (35.7% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) |
| ✓ | cost-diff | 192 | (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))) |
| 540× | accelerator-lowering-fma.f32 |
| 540× | accelerator-lowering-fma.f64 |
| 232× | *-lowering-*.f32 |
| 232× | *-lowering-*.f64 |
| 176× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 47 |
| 1 | 21 | 47 |
| 2 | 40 | 47 |
| 3 | 91 | 47 |
| 4 | 216 | 47 |
| 5 | 446 | 47 |
| 6 | 789 | 47 |
| 7 | 974 | 47 |
| 8 | 1017 | 47 |
| 9 | 1046 | 47 |
| 0 | 1046 | 43 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(- 1 (log (- 1 (/ (- x y) (- 1 y))))) |
1 |
(log (- 1 (/ (- x y) (- 1 y)))) |
(- 1 (/ (- x y) (- 1 y))) |
(/ (- x y) (- 1 y)) |
(- x y) |
x |
y |
(- 1 y) |
| Outputs |
|---|
(- 1 (log (- 1 (/ (- x y) (- 1 y))))) |
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) |
1 |
#s(literal 1 binary64) |
(log (- 1 (/ (- x y) (- 1 y)))) |
(log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) |
(- 1 (/ (- x y) (- 1 y))) |
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) |
(/ (- x y) (- 1 y)) |
(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
(- x y) |
(-.f64 x y) |
x |
y |
(- 1 y) |
(-.f64 #s(literal 1 binary64) y) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) |
| ✓ | accuracy | 100.0% | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| ✓ | accuracy | 75.3% | (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) |
| ✓ | accuracy | 58.5% | (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))) |
| 42.0ms | 165× | 1 | valid |
| 6.0ms | 78× | 0 | valid |
| 5.0ms | 13× | 2 | valid |
Compiled 49 to 11 computations (77.6% saved)
ival-log: 20.0ms (51.9% of total)ival-sub: 10.0ms (26% of total)adjust: 5.0ms (13% of total)ival-div: 3.0ms (7.8% of total)ival-assert: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (log (- 1 (/ (- x y) (- 1 y))))> |
#<alt (- 1 (log (- 1 (/ (- x y) (- 1 y)))))> |
#<alt (- 1 (/ (- x y) (- 1 y)))> |
#<alt (/ (- x y) (- 1 y))> |
| Outputs |
|---|
#<alt (log (+ 1 (/ y (- 1 y))))> |
#<alt (+ (log (+ 1 (/ y (- 1 y)))) (* -1 (/ x (* (+ 1 (/ y (- 1 y))) (- 1 y)))))> |
#<alt (+ (log (+ 1 (/ y (- 1 y)))) (* x (- (* -1/2 (/ x (* (pow (+ 1 (/ y (- 1 y))) 2) (pow (- 1 y) 2)))) (/ 1 (* (+ 1 (/ y (- 1 y))) (- 1 y))))))> |
#<alt (+ (log (+ 1 (/ y (- 1 y)))) (* x (- (* x (- (* -1/3 (/ x (* (pow (+ 1 (/ y (- 1 y))) 3) (pow (- 1 y) 3)))) (* 1/2 (/ 1 (* (pow (+ 1 (/ y (- 1 y))) 2) (pow (- 1 y) 2)))))) (/ 1 (* (+ 1 (/ y (- 1 y))) (- 1 y))))))> |
#<alt (+ (log (neg (/ 1 (- 1 y)))) (* -1 (log (/ 1 x))))> |
#<alt (+ (log (neg (/ 1 (- 1 y)))) (+ (* -1 (log (/ 1 x))) (* -1 (/ (* (+ 1 (/ y (- 1 y))) (- 1 y)) x))))> |
#<alt (+ (log (neg (/ 1 (- 1 y)))) (+ (* -1 (log (/ 1 x))) (+ (* -1 (/ (* (+ 1 (/ y (- 1 y))) (- 1 y)) x)) (* -1/2 (/ (* (pow (+ 1 (/ y (- 1 y))) 2) (pow (- 1 y) 2)) (pow x 2))))))> |
#<alt (+ (log (neg (/ 1 (- 1 y)))) (+ (* -1 (log (/ 1 x))) (+ (* -1 (/ (* (+ 1 (/ y (- 1 y))) (- 1 y)) x)) (+ (* -1/2 (/ (* (pow (+ 1 (/ y (- 1 y))) 2) (pow (- 1 y) 2)) (pow x 2))) (* -1/3 (/ (* (pow (+ 1 (/ y (- 1 y))) 3) (pow (- 1 y) 3)) (pow x 3)))))))> |
#<alt (+ (log (/ 1 (- 1 y))) (* -1 (log (/ -1 x))))> |
#<alt (+ (log (/ 1 (- 1 y))) (+ (* -1 (log (/ -1 x))) (* -1 (/ (* (- 1 y) (- 1 (* -1 (/ y (- 1 y))))) x))))> |
#<alt (+ (log (/ 1 (- 1 y))) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* 1/2 (/ (* (pow (- 1 y) 2) (pow (- 1 (* -1 (/ y (- 1 y)))) 2)) x)) (* (- 1 y) (- 1 (* -1 (/ y (- 1 y)))))) x))))> |
#<alt (+ (log (/ 1 (- 1 y))) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow (- 1 y) 2) (pow (- 1 (* -1 (/ y (- 1 y)))) 2))) (* -1/3 (/ (* (pow (- 1 y) 3) (pow (- 1 (* -1 (/ y (- 1 y)))) 3)) x))) x)) (* (- 1 y) (- 1 (* -1 (/ y (- 1 y)))))) x))))> |
#<alt (log (- 1 x))> |
#<alt (+ (log (- 1 x)) (* y (+ (* -1 (/ x (- 1 x))) (/ 1 (- 1 x)))))> |
#<alt (+ (log (- 1 x)) (* y (+ (* -1 (/ x (- 1 x))) (+ (* 1/2 (* y (+ (* -1 (/ (pow (+ 1 (* -1 x)) 2) (pow (- 1 x) 2))) (* 2 (/ (+ 1 (* -1 x)) (- 1 x)))))) (/ 1 (- 1 x))))))> |
#<alt (+ (log (- 1 x)) (* y (+ (* -1 (/ x (- 1 x))) (+ (* y (+ (* 1/6 (* y (+ (* -6 (/ (pow (+ 1 (* -1 x)) 2) (pow (- 1 x) 2))) (+ (* 2 (/ (pow (+ 1 (* -1 x)) 3) (pow (- 1 x) 3))) (* 6 (/ (+ 1 (* -1 x)) (- 1 x))))))) (* 1/2 (+ (* -1 (/ (pow (+ 1 (* -1 x)) 2) (pow (- 1 x) 2))) (* 2 (/ (+ 1 (* -1 x)) (- 1 x))))))) (/ 1 (- 1 x))))))> |
#<alt (+ (log (neg (+ 1 (* -1 x)))) (log (/ 1 y)))> |
#<alt (+ (log (neg (+ 1 (* -1 x)))) (+ (log (/ 1 y)) (* -1 (/ (- x 1) (* y (+ 1 (* -1 x)))))))> |
#<alt (+ (log (neg (+ 1 (* -1 x)))) (+ (log (/ 1 y)) (+ (* -1 (/ (- x 1) (* y (+ 1 (* -1 x))))) (* 1/2 (/ (+ (* -2 (/ (- x 1) (+ 1 (* -1 x)))) (* -1 (/ (pow (- x 1) 2) (pow (+ 1 (* -1 x)) 2)))) (pow y 2))))))> |
#<alt (+ (log (neg (+ 1 (* -1 x)))) (+ (log (/ 1 y)) (+ (* -1 (/ (- x 1) (* y (+ 1 (* -1 x))))) (+ (* 1/6 (/ (+ (* -6 (/ (- x 1) (+ 1 (* -1 x)))) (+ (* -6 (/ (pow (- x 1) 2) (pow (+ 1 (* -1 x)) 2))) (* -2 (/ (pow (- x 1) 3) (pow (+ 1 (* -1 x)) 3))))) (pow y 3))) (* 1/2 (/ (+ (* -2 (/ (- x 1) (+ 1 (* -1 x)))) (* -1 (/ (pow (- x 1) 2) (pow (+ 1 (* -1 x)) 2)))) (pow y 2)))))))> |
#<alt (+ (log (- 1 x)) (log (/ -1 y)))> |
#<alt (+ (log (- 1 x)) (+ (log (/ -1 y)) (* -1 (/ (- (/ x (- 1 x)) (/ 1 (- 1 x))) y))))> |
#<alt (+ (log (- 1 x)) (+ (log (/ -1 y)) (* -1 (/ (- (+ (* -1/2 (/ (+ (* -1 (/ (pow (- x 1) 2) (pow (- 1 x) 2))) (* 2 (/ (+ 1 (* -1 x)) (- 1 x)))) y)) (/ x (- 1 x))) (/ 1 (- 1 x))) y))))> |
#<alt (+ (log (- 1 x)) (+ (log (/ -1 y)) (* -1 (/ (- (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -6 (/ (* (+ 1 (* -1 x)) (- x 1)) (pow (- 1 x) 2))) (+ (* 2 (/ (pow (- x 1) 3) (pow (- 1 x) 3))) (* 6 (/ (- x 1) (- 1 x))))) y)) (* 1/2 (+ (* -1 (/ (pow (- x 1) 2) (pow (- 1 x) 2))) (* 2 (/ (+ 1 (* -1 x)) (- 1 x)))))) y)) (/ x (- 1 x))) (/ 1 (- 1 x))) y))))> |
#<alt (- 1 (log (+ 1 (/ y (- 1 y)))))> |
#<alt (- (+ 1 (/ x (* (+ 1 (/ y (- 1 y))) (- 1 y)))) (log (+ 1 (/ y (- 1 y)))))> |
#<alt (- (+ 1 (* x (+ (* 1/2 (/ x (* (pow (+ 1 (/ y (- 1 y))) 2) (pow (- 1 y) 2)))) (/ 1 (* (+ 1 (/ y (- 1 y))) (- 1 y)))))) (log (+ 1 (/ y (- 1 y)))))> |
#<alt (- (+ 1 (* x (+ (* x (+ (* 1/3 (/ x (* (pow (+ 1 (/ y (- 1 y))) 3) (pow (- 1 y) 3)))) (* 1/2 (/ 1 (* (pow (+ 1 (/ y (- 1 y))) 2) (pow (- 1 y) 2)))))) (/ 1 (* (+ 1 (/ y (- 1 y))) (- 1 y)))))) (log (+ 1 (/ y (- 1 y)))))> |
#<alt (- 1 (+ (log (neg (/ 1 (- 1 y)))) (* -1 (log (/ 1 x)))))> |
#<alt (- (+ 1 (/ (* (+ 1 (/ y (- 1 y))) (- 1 y)) x)) (+ (log (neg (/ 1 (- 1 y)))) (* -1 (log (/ 1 x)))))> |
#<alt (- (+ 1 (* 1/2 (/ (* (pow (+ 1 (/ y (- 1 y))) 2) (pow (- 1 y) 2)) (pow x 2)))) (+ (log (neg (/ 1 (- 1 y)))) (+ (* -1 (log (/ 1 x))) (* -1 (/ (* (+ 1 (/ y (- 1 y))) (- 1 y)) x)))))> |
#<alt (- (+ 1 (* 1/3 (/ (* (pow (+ 1 (/ y (- 1 y))) 3) (pow (- 1 y) 3)) (pow x 3)))) (+ (log (neg (/ 1 (- 1 y)))) (+ (* -1 (log (/ 1 x))) (+ (* -1 (/ (* (+ 1 (/ y (- 1 y))) (- 1 y)) x)) (* -1/2 (/ (* (pow (+ 1 (/ y (- 1 y))) 2) (pow (- 1 y) 2)) (pow x 2)))))))> |
#<alt (- 1 (+ (log (/ 1 (- 1 y))) (* -1 (log (/ -1 x)))))> |
#<alt (- (+ 1 (/ (* (- 1 y) (- 1 (* -1 (/ y (- 1 y))))) x)) (+ (log (/ 1 (- 1 y))) (* -1 (log (/ -1 x)))))> |
#<alt (- (+ 1 (* -1 (/ (- (* -1/2 (/ (* (pow (- 1 y) 2) (pow (- 1 (* -1 (/ y (- 1 y)))) 2)) x)) (* (- 1 y) (- 1 (* -1 (/ y (- 1 y)))))) x))) (+ (log (/ 1 (- 1 y))) (* -1 (log (/ -1 x)))))> |
#<alt (- (+ 1 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ (* (pow (- 1 y) 3) (pow (- 1 (* -1 (/ y (- 1 y)))) 3)) x)) (* -1/2 (* (pow (- 1 y) 2) (pow (- 1 (* -1 (/ y (- 1 y)))) 2)))) x)) (* (- 1 y) (- 1 (* -1 (/ y (- 1 y)))))) x))) (+ (log (/ 1 (- 1 y))) (* -1 (log (/ -1 x)))))> |
#<alt (- 1 (log (- 1 x)))> |
#<alt (- (+ 1 (* -1 (* y (+ (* -1 (/ x (- 1 x))) (/ 1 (- 1 x)))))) (log (- 1 x)))> |
#<alt (- (+ 1 (* y (- (* -1/2 (* y (+ (* -1 (/ (pow (+ 1 (* -1 x)) 2) (pow (- 1 x) 2))) (* 2 (/ (+ 1 (* -1 x)) (- 1 x)))))) (+ (* -1 (/ x (- 1 x))) (/ 1 (- 1 x)))))) (log (- 1 x)))> |
#<alt (- (+ 1 (* y (- (* y (- (* -1/6 (* y (+ (* -6 (/ (pow (+ 1 (* -1 x)) 2) (pow (- 1 x) 2))) (+ (* 2 (/ (pow (+ 1 (* -1 x)) 3) (pow (- 1 x) 3))) (* 6 (/ (+ 1 (* -1 x)) (- 1 x))))))) (* 1/2 (+ (* -1 (/ (pow (+ 1 (* -1 x)) 2) (pow (- 1 x) 2))) (* 2 (/ (+ 1 (* -1 x)) (- 1 x))))))) (+ (* -1 (/ x (- 1 x))) (/ 1 (- 1 x)))))) (log (- 1 x)))> |
#<alt (- 1 (+ (log (neg (+ 1 (* -1 x)))) (log (/ 1 y))))> |
#<alt (- (+ 1 (/ x (* y (+ 1 (* -1 x))))) (+ (log (neg (+ 1 (* -1 x)))) (+ (log (/ 1 y)) (/ 1 (* y (+ 1 (* -1 x)))))))> |
#<alt (- (+ 1 (* -1/2 (/ (+ (* -2 (/ (- x 1) (+ 1 (* -1 x)))) (* -1 (/ (pow (- x 1) 2) (pow (+ 1 (* -1 x)) 2)))) (pow y 2)))) (+ (log (neg (+ 1 (* -1 x)))) (+ (log (/ 1 y)) (* -1 (/ (- x 1) (* y (+ 1 (* -1 x))))))))> |
#<alt (- (+ 1 (* -1/6 (/ (+ (* -6 (/ (- x 1) (+ 1 (* -1 x)))) (+ (* -6 (/ (pow (- x 1) 2) (pow (+ 1 (* -1 x)) 2))) (* -2 (/ (pow (- x 1) 3) (pow (+ 1 (* -1 x)) 3))))) (pow y 3)))) (+ (log (neg (+ 1 (* -1 x)))) (+ (log (/ 1 y)) (+ (* -1 (/ (- x 1) (* y (+ 1 (* -1 x))))) (* 1/2 (/ (+ (* -2 (/ (- x 1) (+ 1 (* -1 x)))) (* -1 (/ (pow (- x 1) 2) (pow (+ 1 (* -1 x)) 2)))) (pow y 2)))))))> |
#<alt (- 1 (+ (log (- 1 x)) (log (/ -1 y))))> |
#<alt (- (+ 1 (* -1 (/ (- (/ 1 (- 1 x)) (/ x (- 1 x))) y))) (+ (log (- 1 x)) (log (/ -1 y))))> |
#<alt (- (+ 1 (* -1 (/ (- (+ (* 1/2 (/ (+ (* -1 (/ (pow (- x 1) 2) (pow (- 1 x) 2))) (* 2 (/ (+ 1 (* -1 x)) (- 1 x)))) y)) (/ 1 (- 1 x))) (/ x (- 1 x))) y))) (+ (log (- 1 x)) (log (/ -1 y))))> |
#<alt (- (+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* 1/6 (/ (+ (* -6 (/ (* (+ 1 (* -1 x)) (- x 1)) (pow (- 1 x) 2))) (+ (* 2 (/ (pow (- x 1) 3) (pow (- 1 x) 3))) (* 6 (/ (- x 1) (- 1 x))))) y)) (* 1/2 (+ (* -1 (/ (pow (- x 1) 2) (pow (- 1 x) 2))) (* 2 (/ (+ 1 (* -1 x)) (- 1 x)))))) y)) (/ 1 (- 1 x))) (/ x (- 1 x))) y))) (+ (log (- 1 x)) (log (/ -1 y))))> |
#<alt (+ 1 (/ y (- 1 y)))> |
#<alt (+ 1 (+ (* -1 (/ x (- 1 y))) (/ y (- 1 y))))> |
#<alt (+ 1 (+ (* -1 (/ x (- 1 y))) (/ y (- 1 y))))> |
#<alt (+ 1 (+ (* -1 (/ x (- 1 y))) (/ y (- 1 y))))> |
#<alt (* -1 (/ x (- 1 y)))> |
#<alt (* x (- (+ (/ 1 x) (/ y (* x (- 1 y)))) (/ 1 (- 1 y))))> |
#<alt (* x (- (+ (/ 1 x) (/ y (* x (- 1 y)))) (/ 1 (- 1 y))))> |
#<alt (* x (- (+ (/ 1 x) (/ y (* x (- 1 y)))) (/ 1 (- 1 y))))> |
#<alt (* -1 (/ x (- 1 y)))> |
#<alt (* -1 (* x (+ (* -1 (/ (- 1 (* -1 (/ y (- 1 y)))) x)) (/ 1 (- 1 y)))))> |
#<alt (* -1 (* x (+ (* -1 (/ (- 1 (* -1 (/ y (- 1 y)))) x)) (/ 1 (- 1 y)))))> |
#<alt (* -1 (* x (+ (* -1 (/ (- 1 (* -1 (/ y (- 1 y)))) x)) (/ 1 (- 1 y)))))> |
#<alt (- 1 x)> |
#<alt (- (+ 1 (* y (+ 1 (* -1 x)))) x)> |
#<alt (- (+ 1 (* y (+ 1 (+ (* -1 x) (* y (+ 1 (* -1 x))))))) x)> |
#<alt (- (+ 1 (* y (+ 1 (+ (* -1 x) (* y (+ 1 (+ (* -1 x) (* y (+ 1 (* -1 x)))))))))) x)> |
#<alt (* -1 (/ (+ 1 (* -1 x)) y))> |
#<alt (/ (- (/ x y) (+ 1 (+ (* -1 x) (/ 1 y)))) y)> |
#<alt (/ (- (+ (/ x y) (/ x (pow y 2))) (+ 1 (+ (* -1 x) (+ (/ 1 y) (/ 1 (pow y 2)))))) y)> |
#<alt (/ (- (+ (/ x y) (+ (/ x (pow y 2)) (/ x (pow y 3)))) (+ 1 (+ (* -1 x) (+ (/ 1 y) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3))))))) y)> |
#<alt (* -1 (/ (- 1 x) y))> |
#<alt (* -1 (/ (- (+ 1 (* -1 (/ (- x 1) y))) x) y))> |
#<alt (* -1 (/ (- (+ 1 (* -1 (/ (- (+ x (* -1 (/ (+ 1 (* -1 x)) y))) 1) y))) x) y))> |
#<alt (* -1 (/ (- (+ 1 (* -1 (/ (- (+ x (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- x 1) y)))) y))) 1) y))) x) y))> |
#<alt (* -1 (/ y (- 1 y)))> |
#<alt (+ (* -1 (/ y (- 1 y))) (/ x (- 1 y)))> |
#<alt (+ (* -1 (/ y (- 1 y))) (/ x (- 1 y)))> |
#<alt (+ (* -1 (/ y (- 1 y))) (/ x (- 1 y)))> |
#<alt (/ x (- 1 y))> |
#<alt (* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y))))> |
#<alt (* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y))))> |
#<alt (* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y))))> |
#<alt (/ x (- 1 y))> |
#<alt (* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y)))))> |
#<alt (* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y)))))> |
#<alt (* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y)))))> |
#<alt x> |
#<alt (+ x (* -1 (* y (+ 1 (* -1 x)))))> |
#<alt (+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))))> |
#<alt (+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x)))))> |
#<alt 1> |
#<alt (+ 1 (+ (* -1 (/ x y)) (/ 1 y)))> |
#<alt (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 2))))))> |
#<alt (- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 3))) (+ (/ 1 y) (/ 1 (pow y 3)))))) (* -1 (/ (+ 1 (* -1 x)) (pow y 2))))> |
#<alt 1> |
#<alt (+ 1 (* -1 (/ (- x 1) y)))> |
#<alt (+ 1 (* -1 (/ (- (+ x (* -1 (/ (- 1 x) y))) 1) y)))> |
#<alt (+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (+ 1 (* -1 (/ (- x 1) y))) x) y))) 1) y)))> |
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | x | @ | inf | (- 1 (log (- 1 (/ (- x y) (- 1 y))))) |
| 1.0ms | x | @ | inf | (/ (- x y) (- 1 y)) |
| 1.0ms | y | @ | -inf | (log (- 1 (/ (- x y) (- 1 y)))) |
| 1.0ms | y | @ | inf | (log (- 1 (/ (- x y) (- 1 y)))) |
| 1.0ms | 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 | 38 |
| 1 | 71 | 38 |
| 2 | 656 | 38 |
| 0 | 8707 | 34 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(log (- 1 (/ (- x y) (- 1 y)))) |
(- 1 (log (- 1 (/ (- x y) (- 1 y))))) |
(- 1 (/ (- x y) (- 1 y))) |
(/ (- x y) (- 1 y)) |
| Outputs |
|---|
(log.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) |
(+.f64 (log1p.f64 (/.f64 (*.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y))) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))))) (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64))))) |
(+.f64 (log1p.f64 (/.f64 (*.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y))) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))))) (neg.f64 (log1p.f64 (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))))) |
(+.f64 (log1p.f64 (/.f64 (*.f64 (-.f64 x y) (-.f64 x y)) (*.f64 (-.f64 #s(literal 1 binary64) y) (+.f64 y #s(literal -1 binary64))))) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))))) |
(+.f64 (log1p.f64 (/.f64 (*.f64 (-.f64 x y) (-.f64 x y)) (*.f64 (-.f64 #s(literal 1 binary64) y) (+.f64 y #s(literal -1 binary64))))) (neg.f64 (log1p.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))))) |
(-.f64 (log1p.f64 (/.f64 (*.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y))) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))))) (log1p.f64 (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))))) |
(-.f64 (log1p.f64 (/.f64 (*.f64 (-.f64 x y) (-.f64 x y)) (*.f64 (-.f64 #s(literal 1 binary64) y) (+.f64 y #s(literal -1 binary64))))) (log1p.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))) |
(-.f64 (log.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y))) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)))))) (log.f64 (neg.f64 (fma.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64))))) |
(-.f64 (log.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 (-.f64 x y) (-.f64 x y)) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))))) (log.f64 (+.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))) #s(literal -1 binary64)))) |
(neg.f64 (neg.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 (/.f64 (*.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y))) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) #s(literal 3 binary64))) (fma.f64 (log1p.f64 (/.f64 (*.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y))) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))))) (log1p.f64 (/.f64 (*.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y))) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))))) (fma.f64 (log1p.f64 (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) (log1p.f64 (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) (*.f64 (log1p.f64 (/.f64 (*.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y))) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))))) (log1p.f64 (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))))))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 (/.f64 (*.f64 (-.f64 x y) (-.f64 x y)) (*.f64 (-.f64 #s(literal 1 binary64) y) (+.f64 y #s(literal -1 binary64))))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) #s(literal 3 binary64))) (fma.f64 (log1p.f64 (/.f64 (*.f64 (-.f64 x y) (-.f64 x y)) (*.f64 (-.f64 #s(literal 1 binary64) y) (+.f64 y #s(literal -1 binary64))))) (log1p.f64 (/.f64 (*.f64 (-.f64 x y) (-.f64 x y)) (*.f64 (-.f64 #s(literal 1 binary64) y) (+.f64 y #s(literal -1 binary64))))) (fma.f64 (log1p.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) (log1p.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) (*.f64 (log1p.f64 (/.f64 (*.f64 (-.f64 x y) (-.f64 x y)) (*.f64 (-.f64 #s(literal 1 binary64) y) (+.f64 y #s(literal -1 binary64))))) (log1p.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))))) |
(/.f64 (-.f64 (*.f64 (log1p.f64 (/.f64 (*.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y))) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))))) (log1p.f64 (/.f64 (*.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y))) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)))))) (*.f64 (log1p.f64 (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) (log1p.f64 (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))))) (+.f64 (log1p.f64 (/.f64 (*.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y))) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))))) (log1p.f64 (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))))) |
(/.f64 (-.f64 (*.f64 (log1p.f64 (/.f64 (*.f64 (-.f64 x y) (-.f64 x y)) (*.f64 (-.f64 #s(literal 1 binary64) y) (+.f64 y #s(literal -1 binary64))))) (log1p.f64 (/.f64 (*.f64 (-.f64 x y) (-.f64 x y)) (*.f64 (-.f64 #s(literal 1 binary64) y) (+.f64 y #s(literal -1 binary64)))))) (*.f64 (log1p.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) (log1p.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) (+.f64 (log1p.f64 (/.f64 (*.f64 (-.f64 x y) (-.f64 x y)) (*.f64 (-.f64 #s(literal 1 binary64) y) (+.f64 y #s(literal -1 binary64))))) (log1p.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) |
(log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) |
(*.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) |
(*.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (neg.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))))) |
(+.f64 (neg.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) #s(literal 1 binary64)) |
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) #s(literal 1 binary64))) (neg.f64 (/.f64 (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) #s(literal 3 binary64)) (fma.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) #s(literal 1 binary64))))) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))))) (neg.f64 (/.f64 (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))))))) |
(+.f64 (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (*.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y))) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)))))) (log1p.f64 (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))))) |
(+.f64 (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (*.f64 (-.f64 x y) (-.f64 x y)) (*.f64 (-.f64 #s(literal 1 binary64) y) (+.f64 y #s(literal -1 binary64)))))) (log1p.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))) |
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) |
(-.f64 #s(literal 0 binary64) (-.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) #s(literal 1 binary64))) |
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) #s(literal 1 binary64))) (/.f64 (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) #s(literal 3 binary64)) (fma.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) #s(literal 1 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))))) (/.f64 (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))))) |
(fma.f64 #s(literal 1 binary64) (neg.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) #s(literal 1 binary64))) (neg.f64 (/.f64 (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) #s(literal 3 binary64)) (fma.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) #s(literal 1 binary64))))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))))) (neg.f64 (/.f64 (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))))))) |
(fma.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) #s(literal -1 binary64) #s(literal 1 binary64)) |
(fma.f64 (neg.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) #s(literal 1 binary64)) |
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) #s(literal 3 binary64))) (neg.f64 (fma.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) #s(literal 1 binary64))))) |
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) #s(literal 2 binary64))) (+.f64 (neg.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) #s(literal -1 binary64)))) |
(neg.f64 (/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) #s(literal 3 binary64)))) (fma.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) #s(literal 1 binary64)))) |
(neg.f64 (/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))))) #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) #s(literal 3 binary64))) (fma.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) #s(literal 1 binary64)))) |
(/.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))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) #s(literal 1 binary64))) (*.f64 (fma.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) #s(literal 1 binary64)) (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) #s(literal 3 binary64)))) (*.f64 (fma.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) #s(literal 1 binary64)) (fma.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))))) (*.f64 (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) #s(literal 2 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))))) |
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(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) |
(*.f64 (fma.f64 x (-.f64 #s(literal 1 binary64) y) (*.f64 (+.f64 y #s(literal -1 binary64)) y)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)))) |
(*.f64 (-.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)))) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 x (-.f64 #s(literal 1 binary64) y)) (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)) (+.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))))))) |
(*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (+.f64 x y)) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (+.f64 x y)))) |
(*.f64 (/.f64 (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 x y)) (-.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y (+.f64 x y))))) |
(*.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (-.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 x y))) |
(*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (+.f64 #s(literal 1 binary64) (fma.f64 y y y))) |
(*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 y y y))))) |
(*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (+.f64 #s(literal 1 binary64) y)) |
(*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (/.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 y y y))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (/.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)))) |
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 x y))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y (+.f64 x y))))) |
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 x y) (+.f64 x y))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x y))) |
(*.f64 (/.f64 (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 x y)) (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y (+.f64 x y)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 y y y))))) |
(*.f64 (/.f64 (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 x y)) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y (+.f64 x y)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)))) |
(*.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 y y y))))) |
(*.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)))) |
(*.f64 (/.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 #s(literal 1 binary64) y)) (/.f64 (-.f64 x y) (fma.f64 x x (*.f64 y (+.f64 x y))))) |
(*.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) y)) (/.f64 (-.f64 x y) (+.f64 x y))) |
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 x y)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 x y)) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))))) (+.f64 #s(literal 1 binary64) (fma.f64 y y y))) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) (*.f64 y y)))) (+.f64 #s(literal 1 binary64) y)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 x y))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y (+.f64 x y))))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (*.f64 (-.f64 x y) (+.f64 x y))) (/.f64 #s(literal 1 binary64) (+.f64 x y))) |
| 1× | egg-herbie |
| 6 656× | accelerator-lowering-fma.f32 |
| 6 656× | accelerator-lowering-fma.f64 |
| 3 954× | +-lowering-+.f64 |
| 3 954× | +-lowering-+.f32 |
| 2 636× | --lowering--.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 432 | 2626 |
| 1 | 1404 | 2020 |
| 2 | 4890 | 1789 |
| 0 | 8558 | 1696 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(log (+ 1 (/ y (- 1 y)))) |
(+ (log (+ 1 (/ y (- 1 y)))) (* -1 (/ x (* (+ 1 (/ y (- 1 y))) (- 1 y))))) |
(+ (log (+ 1 (/ y (- 1 y)))) (* x (- (* -1/2 (/ x (* (pow (+ 1 (/ y (- 1 y))) 2) (pow (- 1 y) 2)))) (/ 1 (* (+ 1 (/ y (- 1 y))) (- 1 y)))))) |
(+ (log (+ 1 (/ y (- 1 y)))) (* x (- (* x (- (* -1/3 (/ x (* (pow (+ 1 (/ y (- 1 y))) 3) (pow (- 1 y) 3)))) (* 1/2 (/ 1 (* (pow (+ 1 (/ y (- 1 y))) 2) (pow (- 1 y) 2)))))) (/ 1 (* (+ 1 (/ y (- 1 y))) (- 1 y)))))) |
(+ (log (neg (/ 1 (- 1 y)))) (* -1 (log (/ 1 x)))) |
(+ (log (neg (/ 1 (- 1 y)))) (+ (* -1 (log (/ 1 x))) (* -1 (/ (* (+ 1 (/ y (- 1 y))) (- 1 y)) x)))) |
(+ (log (neg (/ 1 (- 1 y)))) (+ (* -1 (log (/ 1 x))) (+ (* -1 (/ (* (+ 1 (/ y (- 1 y))) (- 1 y)) x)) (* -1/2 (/ (* (pow (+ 1 (/ y (- 1 y))) 2) (pow (- 1 y) 2)) (pow x 2)))))) |
(+ (log (neg (/ 1 (- 1 y)))) (+ (* -1 (log (/ 1 x))) (+ (* -1 (/ (* (+ 1 (/ y (- 1 y))) (- 1 y)) x)) (+ (* -1/2 (/ (* (pow (+ 1 (/ y (- 1 y))) 2) (pow (- 1 y) 2)) (pow x 2))) (* -1/3 (/ (* (pow (+ 1 (/ y (- 1 y))) 3) (pow (- 1 y) 3)) (pow x 3))))))) |
(+ (log (/ 1 (- 1 y))) (* -1 (log (/ -1 x)))) |
(+ (log (/ 1 (- 1 y))) (+ (* -1 (log (/ -1 x))) (* -1 (/ (* (- 1 y) (- 1 (* -1 (/ y (- 1 y))))) x)))) |
(+ (log (/ 1 (- 1 y))) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* 1/2 (/ (* (pow (- 1 y) 2) (pow (- 1 (* -1 (/ y (- 1 y)))) 2)) x)) (* (- 1 y) (- 1 (* -1 (/ y (- 1 y)))))) x)))) |
(+ (log (/ 1 (- 1 y))) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow (- 1 y) 2) (pow (- 1 (* -1 (/ y (- 1 y)))) 2))) (* -1/3 (/ (* (pow (- 1 y) 3) (pow (- 1 (* -1 (/ y (- 1 y)))) 3)) x))) x)) (* (- 1 y) (- 1 (* -1 (/ y (- 1 y)))))) x)))) |
(log (- 1 x)) |
(+ (log (- 1 x)) (* y (+ (* -1 (/ x (- 1 x))) (/ 1 (- 1 x))))) |
(+ (log (- 1 x)) (* y (+ (* -1 (/ x (- 1 x))) (+ (* 1/2 (* y (+ (* -1 (/ (pow (+ 1 (* -1 x)) 2) (pow (- 1 x) 2))) (* 2 (/ (+ 1 (* -1 x)) (- 1 x)))))) (/ 1 (- 1 x)))))) |
(+ (log (- 1 x)) (* y (+ (* -1 (/ x (- 1 x))) (+ (* y (+ (* 1/6 (* y (+ (* -6 (/ (pow (+ 1 (* -1 x)) 2) (pow (- 1 x) 2))) (+ (* 2 (/ (pow (+ 1 (* -1 x)) 3) (pow (- 1 x) 3))) (* 6 (/ (+ 1 (* -1 x)) (- 1 x))))))) (* 1/2 (+ (* -1 (/ (pow (+ 1 (* -1 x)) 2) (pow (- 1 x) 2))) (* 2 (/ (+ 1 (* -1 x)) (- 1 x))))))) (/ 1 (- 1 x)))))) |
(+ (log (neg (+ 1 (* -1 x)))) (log (/ 1 y))) |
(+ (log (neg (+ 1 (* -1 x)))) (+ (log (/ 1 y)) (* -1 (/ (- x 1) (* y (+ 1 (* -1 x))))))) |
(+ (log (neg (+ 1 (* -1 x)))) (+ (log (/ 1 y)) (+ (* -1 (/ (- x 1) (* y (+ 1 (* -1 x))))) (* 1/2 (/ (+ (* -2 (/ (- x 1) (+ 1 (* -1 x)))) (* -1 (/ (pow (- x 1) 2) (pow (+ 1 (* -1 x)) 2)))) (pow y 2)))))) |
(+ (log (neg (+ 1 (* -1 x)))) (+ (log (/ 1 y)) (+ (* -1 (/ (- x 1) (* y (+ 1 (* -1 x))))) (+ (* 1/6 (/ (+ (* -6 (/ (- x 1) (+ 1 (* -1 x)))) (+ (* -6 (/ (pow (- x 1) 2) (pow (+ 1 (* -1 x)) 2))) (* -2 (/ (pow (- x 1) 3) (pow (+ 1 (* -1 x)) 3))))) (pow y 3))) (* 1/2 (/ (+ (* -2 (/ (- x 1) (+ 1 (* -1 x)))) (* -1 (/ (pow (- x 1) 2) (pow (+ 1 (* -1 x)) 2)))) (pow y 2))))))) |
(+ (log (- 1 x)) (log (/ -1 y))) |
(+ (log (- 1 x)) (+ (log (/ -1 y)) (* -1 (/ (- (/ x (- 1 x)) (/ 1 (- 1 x))) y)))) |
(+ (log (- 1 x)) (+ (log (/ -1 y)) (* -1 (/ (- (+ (* -1/2 (/ (+ (* -1 (/ (pow (- x 1) 2) (pow (- 1 x) 2))) (* 2 (/ (+ 1 (* -1 x)) (- 1 x)))) y)) (/ x (- 1 x))) (/ 1 (- 1 x))) y)))) |
(+ (log (- 1 x)) (+ (log (/ -1 y)) (* -1 (/ (- (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -6 (/ (* (+ 1 (* -1 x)) (- x 1)) (pow (- 1 x) 2))) (+ (* 2 (/ (pow (- x 1) 3) (pow (- 1 x) 3))) (* 6 (/ (- x 1) (- 1 x))))) y)) (* 1/2 (+ (* -1 (/ (pow (- x 1) 2) (pow (- 1 x) 2))) (* 2 (/ (+ 1 (* -1 x)) (- 1 x)))))) y)) (/ x (- 1 x))) (/ 1 (- 1 x))) y)))) |
(- 1 (log (+ 1 (/ y (- 1 y))))) |
(- (+ 1 (/ x (* (+ 1 (/ y (- 1 y))) (- 1 y)))) (log (+ 1 (/ y (- 1 y))))) |
(- (+ 1 (* x (+ (* 1/2 (/ x (* (pow (+ 1 (/ y (- 1 y))) 2) (pow (- 1 y) 2)))) (/ 1 (* (+ 1 (/ y (- 1 y))) (- 1 y)))))) (log (+ 1 (/ y (- 1 y))))) |
(- (+ 1 (* x (+ (* x (+ (* 1/3 (/ x (* (pow (+ 1 (/ y (- 1 y))) 3) (pow (- 1 y) 3)))) (* 1/2 (/ 1 (* (pow (+ 1 (/ y (- 1 y))) 2) (pow (- 1 y) 2)))))) (/ 1 (* (+ 1 (/ y (- 1 y))) (- 1 y)))))) (log (+ 1 (/ y (- 1 y))))) |
(- 1 (+ (log (neg (/ 1 (- 1 y)))) (* -1 (log (/ 1 x))))) |
(- (+ 1 (/ (* (+ 1 (/ y (- 1 y))) (- 1 y)) x)) (+ (log (neg (/ 1 (- 1 y)))) (* -1 (log (/ 1 x))))) |
(- (+ 1 (* 1/2 (/ (* (pow (+ 1 (/ y (- 1 y))) 2) (pow (- 1 y) 2)) (pow x 2)))) (+ (log (neg (/ 1 (- 1 y)))) (+ (* -1 (log (/ 1 x))) (* -1 (/ (* (+ 1 (/ y (- 1 y))) (- 1 y)) x))))) |
(- (+ 1 (* 1/3 (/ (* (pow (+ 1 (/ y (- 1 y))) 3) (pow (- 1 y) 3)) (pow x 3)))) (+ (log (neg (/ 1 (- 1 y)))) (+ (* -1 (log (/ 1 x))) (+ (* -1 (/ (* (+ 1 (/ y (- 1 y))) (- 1 y)) x)) (* -1/2 (/ (* (pow (+ 1 (/ y (- 1 y))) 2) (pow (- 1 y) 2)) (pow x 2))))))) |
(- 1 (+ (log (/ 1 (- 1 y))) (* -1 (log (/ -1 x))))) |
(- (+ 1 (/ (* (- 1 y) (- 1 (* -1 (/ y (- 1 y))))) x)) (+ (log (/ 1 (- 1 y))) (* -1 (log (/ -1 x))))) |
(- (+ 1 (* -1 (/ (- (* -1/2 (/ (* (pow (- 1 y) 2) (pow (- 1 (* -1 (/ y (- 1 y)))) 2)) x)) (* (- 1 y) (- 1 (* -1 (/ y (- 1 y)))))) x))) (+ (log (/ 1 (- 1 y))) (* -1 (log (/ -1 x))))) |
(- (+ 1 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ (* (pow (- 1 y) 3) (pow (- 1 (* -1 (/ y (- 1 y)))) 3)) x)) (* -1/2 (* (pow (- 1 y) 2) (pow (- 1 (* -1 (/ y (- 1 y)))) 2)))) x)) (* (- 1 y) (- 1 (* -1 (/ y (- 1 y)))))) x))) (+ (log (/ 1 (- 1 y))) (* -1 (log (/ -1 x))))) |
(- 1 (log (- 1 x))) |
(- (+ 1 (* -1 (* y (+ (* -1 (/ x (- 1 x))) (/ 1 (- 1 x)))))) (log (- 1 x))) |
(- (+ 1 (* y (- (* -1/2 (* y (+ (* -1 (/ (pow (+ 1 (* -1 x)) 2) (pow (- 1 x) 2))) (* 2 (/ (+ 1 (* -1 x)) (- 1 x)))))) (+ (* -1 (/ x (- 1 x))) (/ 1 (- 1 x)))))) (log (- 1 x))) |
(- (+ 1 (* y (- (* y (- (* -1/6 (* y (+ (* -6 (/ (pow (+ 1 (* -1 x)) 2) (pow (- 1 x) 2))) (+ (* 2 (/ (pow (+ 1 (* -1 x)) 3) (pow (- 1 x) 3))) (* 6 (/ (+ 1 (* -1 x)) (- 1 x))))))) (* 1/2 (+ (* -1 (/ (pow (+ 1 (* -1 x)) 2) (pow (- 1 x) 2))) (* 2 (/ (+ 1 (* -1 x)) (- 1 x))))))) (+ (* -1 (/ x (- 1 x))) (/ 1 (- 1 x)))))) (log (- 1 x))) |
(- 1 (+ (log (neg (+ 1 (* -1 x)))) (log (/ 1 y)))) |
(- (+ 1 (/ x (* y (+ 1 (* -1 x))))) (+ (log (neg (+ 1 (* -1 x)))) (+ (log (/ 1 y)) (/ 1 (* y (+ 1 (* -1 x))))))) |
(- (+ 1 (* -1/2 (/ (+ (* -2 (/ (- x 1) (+ 1 (* -1 x)))) (* -1 (/ (pow (- x 1) 2) (pow (+ 1 (* -1 x)) 2)))) (pow y 2)))) (+ (log (neg (+ 1 (* -1 x)))) (+ (log (/ 1 y)) (* -1 (/ (- x 1) (* y (+ 1 (* -1 x)))))))) |
(- (+ 1 (* -1/6 (/ (+ (* -6 (/ (- x 1) (+ 1 (* -1 x)))) (+ (* -6 (/ (pow (- x 1) 2) (pow (+ 1 (* -1 x)) 2))) (* -2 (/ (pow (- x 1) 3) (pow (+ 1 (* -1 x)) 3))))) (pow y 3)))) (+ (log (neg (+ 1 (* -1 x)))) (+ (log (/ 1 y)) (+ (* -1 (/ (- x 1) (* y (+ 1 (* -1 x))))) (* 1/2 (/ (+ (* -2 (/ (- x 1) (+ 1 (* -1 x)))) (* -1 (/ (pow (- x 1) 2) (pow (+ 1 (* -1 x)) 2)))) (pow y 2))))))) |
(- 1 (+ (log (- 1 x)) (log (/ -1 y)))) |
(- (+ 1 (* -1 (/ (- (/ 1 (- 1 x)) (/ x (- 1 x))) y))) (+ (log (- 1 x)) (log (/ -1 y)))) |
(- (+ 1 (* -1 (/ (- (+ (* 1/2 (/ (+ (* -1 (/ (pow (- x 1) 2) (pow (- 1 x) 2))) (* 2 (/ (+ 1 (* -1 x)) (- 1 x)))) y)) (/ 1 (- 1 x))) (/ x (- 1 x))) y))) (+ (log (- 1 x)) (log (/ -1 y)))) |
(- (+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* 1/6 (/ (+ (* -6 (/ (* (+ 1 (* -1 x)) (- x 1)) (pow (- 1 x) 2))) (+ (* 2 (/ (pow (- x 1) 3) (pow (- 1 x) 3))) (* 6 (/ (- x 1) (- 1 x))))) y)) (* 1/2 (+ (* -1 (/ (pow (- x 1) 2) (pow (- 1 x) 2))) (* 2 (/ (+ 1 (* -1 x)) (- 1 x)))))) y)) (/ 1 (- 1 x))) (/ x (- 1 x))) y))) (+ (log (- 1 x)) (log (/ -1 y)))) |
(+ 1 (/ y (- 1 y))) |
(+ 1 (+ (* -1 (/ x (- 1 y))) (/ y (- 1 y)))) |
(+ 1 (+ (* -1 (/ x (- 1 y))) (/ y (- 1 y)))) |
(+ 1 (+ (* -1 (/ x (- 1 y))) (/ y (- 1 y)))) |
(* -1 (/ x (- 1 y))) |
(* x (- (+ (/ 1 x) (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(* x (- (+ (/ 1 x) (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(* x (- (+ (/ 1 x) (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(* -1 (/ x (- 1 y))) |
(* -1 (* x (+ (* -1 (/ (- 1 (* -1 (/ y (- 1 y)))) x)) (/ 1 (- 1 y))))) |
(* -1 (* x (+ (* -1 (/ (- 1 (* -1 (/ y (- 1 y)))) x)) (/ 1 (- 1 y))))) |
(* -1 (* x (+ (* -1 (/ (- 1 (* -1 (/ y (- 1 y)))) x)) (/ 1 (- 1 y))))) |
(- 1 x) |
(- (+ 1 (* y (+ 1 (* -1 x)))) x) |
(- (+ 1 (* y (+ 1 (+ (* -1 x) (* y (+ 1 (* -1 x))))))) x) |
(- (+ 1 (* y (+ 1 (+ (* -1 x) (* y (+ 1 (+ (* -1 x) (* y (+ 1 (* -1 x)))))))))) x) |
(* -1 (/ (+ 1 (* -1 x)) y)) |
(/ (- (/ x y) (+ 1 (+ (* -1 x) (/ 1 y)))) y) |
(/ (- (+ (/ x y) (/ x (pow y 2))) (+ 1 (+ (* -1 x) (+ (/ 1 y) (/ 1 (pow y 2)))))) y) |
(/ (- (+ (/ x y) (+ (/ x (pow y 2)) (/ x (pow y 3)))) (+ 1 (+ (* -1 x) (+ (/ 1 y) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3))))))) y) |
(* -1 (/ (- 1 x) y)) |
(* -1 (/ (- (+ 1 (* -1 (/ (- x 1) y))) x) y)) |
(* -1 (/ (- (+ 1 (* -1 (/ (- (+ x (* -1 (/ (+ 1 (* -1 x)) y))) 1) y))) x) y)) |
(* -1 (/ (- (+ 1 (* -1 (/ (- (+ x (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- x 1) y)))) y))) 1) y))) x) y)) |
(* -1 (/ y (- 1 y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(/ x (- 1 y)) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(/ x (- 1 y)) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
x |
(+ x (* -1 (* y (+ 1 (* -1 x))))) |
(+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
(+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
1 |
(+ 1 (+ (* -1 (/ x y)) (/ 1 y))) |
(+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 2)))))) |
(- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 3))) (+ (/ 1 y) (/ 1 (pow y 3)))))) (* -1 (/ (+ 1 (* -1 x)) (pow y 2)))) |
1 |
(+ 1 (* -1 (/ (- x 1) y))) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- 1 x) y))) 1) y))) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (+ 1 (* -1 (/ (- x 1) y))) x) y))) 1) y))) |
| Outputs |
|---|
(log (+ 1 (/ y (- 1 y)))) |
(log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y))) |
(+ (log (+ 1 (/ y (- 1 y)))) (* -1 (/ x (* (+ 1 (/ y (- 1 y))) (- 1 y))))) |
(-.f64 (log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y))) (/.f64 x (*.f64 (-.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y)))))) |
(+ (log (+ 1 (/ y (- 1 y)))) (* x (- (* -1/2 (/ x (* (pow (+ 1 (/ y (- 1 y))) 2) (pow (- 1 y) 2)))) (/ 1 (* (+ 1 (/ y (- 1 y))) (- 1 y)))))) |
(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)))) |
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(- (+ 1 (* -1 (/ (- (+ (* 1/2 (/ (+ (* -1 (/ (pow (- x 1) 2) (pow (- 1 x) 2))) (* 2 (/ (+ 1 (* -1 x)) (- 1 x)))) y)) (/ 1 (- 1 x))) (/ x (- 1 x))) y))) (+ (log (- 1 x)) (log (/ -1 y)))) |
(+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) y)) y) (-.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (neg.f64 y)))) (log1p.f64 (neg.f64 x)))) |
(- (+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* 1/6 (/ (+ (* -6 (/ (* (+ 1 (* -1 x)) (- x 1)) (pow (- 1 x) 2))) (+ (* 2 (/ (pow (- x 1) 3) (pow (- 1 x) 3))) (* 6 (/ (- x 1) (- 1 x))))) y)) (* 1/2 (+ (* -1 (/ (pow (- x 1) 2) (pow (- 1 x) 2))) (* 2 (/ (+ 1 (* -1 x)) (- 1 x)))))) y)) (/ 1 (- 1 x))) (/ x (- 1 x))) y))) (+ (log (- 1 x)) (log (/ -1 y)))) |
(-.f64 (-.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (neg.f64 y)))) (log1p.f64 (neg.f64 x))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/3 binary64) y)) y)) y)) |
(+ 1 (/ y (- 1 y))) |
(+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y))) |
(+ 1 (+ (* -1 (/ x (- 1 y))) (/ y (- 1 y)))) |
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)) (/.f64 x (+.f64 y #s(literal -1 binary64))))) |
(+ 1 (+ (* -1 (/ x (- 1 y))) (/ y (- 1 y)))) |
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)) (/.f64 x (+.f64 y #s(literal -1 binary64))))) |
(+ 1 (+ (* -1 (/ x (- 1 y))) (/ y (- 1 y)))) |
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)) (/.f64 x (+.f64 y #s(literal -1 binary64))))) |
(* -1 (/ x (- 1 y))) |
(/.f64 x (+.f64 y #s(literal -1 binary64))) |
(* x (- (+ (/ 1 x) (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(+.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 y (-.f64 x (*.f64 y x))) (/.f64 x (+.f64 y #s(literal -1 binary64))))) |
(* x (- (+ (/ 1 x) (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(+.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 y (-.f64 x (*.f64 y x))) (/.f64 x (+.f64 y #s(literal -1 binary64))))) |
(* x (- (+ (/ 1 x) (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(+.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 y (-.f64 x (*.f64 y x))) (/.f64 x (+.f64 y #s(literal -1 binary64))))) |
(* -1 (/ x (- 1 y))) |
(/.f64 x (+.f64 y #s(literal -1 binary64))) |
(* -1 (* x (+ (* -1 (/ (- 1 (* -1 (/ y (- 1 y)))) x)) (/ 1 (- 1 y))))) |
(+.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 y (-.f64 x (*.f64 y x))) (/.f64 x (+.f64 y #s(literal -1 binary64))))) |
(* -1 (* x (+ (* -1 (/ (- 1 (* -1 (/ y (- 1 y)))) x)) (/ 1 (- 1 y))))) |
(+.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 y (-.f64 x (*.f64 y x))) (/.f64 x (+.f64 y #s(literal -1 binary64))))) |
(* -1 (* x (+ (* -1 (/ (- 1 (* -1 (/ y (- 1 y)))) x)) (/ 1 (- 1 y))))) |
(+.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 y (-.f64 x (*.f64 y x))) (/.f64 x (+.f64 y #s(literal -1 binary64))))) |
(- 1 x) |
(-.f64 #s(literal 1 binary64) x) |
(- (+ 1 (* y (+ 1 (* -1 x)))) x) |
(*.f64 (+.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x)) |
(- (+ 1 (* y (+ 1 (+ (* -1 x) (* y (+ 1 (* -1 x))))))) x) |
(-.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) y) (fma.f64 y x (neg.f64 y)) x)) |
(- (+ 1 (* y (+ 1 (+ (* -1 x) (* y (+ 1 (+ (* -1 x) (* y (+ 1 (* -1 x)))))))))) x) |
(fma.f64 y (-.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) y) (fma.f64 y x (neg.f64 y)) x)) (-.f64 #s(literal 1 binary64) x)) |
(* -1 (/ (+ 1 (* -1 x)) y)) |
(/.f64 (+.f64 #s(literal -1 binary64) x) y) |
(/ (- (/ x y) (+ 1 (+ (* -1 x) (/ 1 y)))) y) |
(/.f64 (+.f64 (/.f64 x y) (+.f64 #s(literal -1 binary64) (+.f64 x (/.f64 #s(literal -1 binary64) y)))) y) |
(/ (- (+ (/ x y) (/ x (pow y 2))) (+ 1 (+ (* -1 x) (+ (/ 1 y) (/ 1 (pow y 2)))))) y) |
(/.f64 (-.f64 (+.f64 (/.f64 x (*.f64 y y)) (+.f64 (/.f64 x y) #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x))) y) |
(/ (- (+ (/ x y) (+ (/ x (pow y 2)) (/ x (pow y 3)))) (+ 1 (+ (* -1 x) (+ (/ 1 y) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3))))))) y) |
(/.f64 (-.f64 (+.f64 (+.f64 (/.f64 x y) (/.f64 x (*.f64 y y))) (+.f64 (/.f64 x (*.f64 y (*.f64 y y))) #s(literal -1 binary64))) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x)) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))))) y) |
(* -1 (/ (- 1 x) y)) |
(/.f64 (+.f64 #s(literal -1 binary64) x) y) |
(* -1 (/ (- (+ 1 (* -1 (/ (- x 1) y))) x) y)) |
(/.f64 (+.f64 #s(literal -1 binary64) (+.f64 x (/.f64 (+.f64 #s(literal -1 binary64) x) y))) y) |
(* -1 (/ (- (+ 1 (* -1 (/ (- (+ x (* -1 (/ (+ 1 (* -1 x)) y))) 1) y))) x) y)) |
(/.f64 (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (+.f64 x (/.f64 (+.f64 #s(literal -1 binary64) x) y))) y) (+.f64 #s(literal -1 binary64) x)) y) |
(* -1 (/ (- (+ 1 (* -1 (/ (- (+ x (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- x 1) y)))) y))) 1) y))) x) y)) |
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (+.f64 x (/.f64 (+.f64 #s(literal -1 binary64) x) y))) y) (+.f64 #s(literal -1 binary64) x)) y) (+.f64 #s(literal -1 binary64) x)) y) |
(* -1 (/ y (- 1 y))) |
(/.f64 y (+.f64 y #s(literal -1 binary64))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(+.f64 (/.f64 y (+.f64 y #s(literal -1 binary64))) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(+.f64 (/.f64 y (+.f64 y #s(literal -1 binary64))) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(+.f64 (/.f64 y (+.f64 y #s(literal -1 binary64))) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
(/ x (- 1 y)) |
(/.f64 x (-.f64 #s(literal 1 binary64) y)) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(fma.f64 x (/.f64 y (*.f64 x (+.f64 y #s(literal -1 binary64)))) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(fma.f64 x (/.f64 y (*.f64 x (+.f64 y #s(literal -1 binary64)))) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(fma.f64 x (/.f64 y (*.f64 x (+.f64 y #s(literal -1 binary64)))) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
(/ x (- 1 y)) |
(/.f64 x (-.f64 #s(literal 1 binary64) y)) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(fma.f64 x (/.f64 y (*.f64 x (+.f64 y #s(literal -1 binary64)))) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(fma.f64 x (/.f64 y (*.f64 x (+.f64 y #s(literal -1 binary64)))) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(fma.f64 x (/.f64 y (*.f64 x (+.f64 y #s(literal -1 binary64)))) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
x |
(+ x (* -1 (* y (+ 1 (* -1 x))))) |
(fma.f64 y (+.f64 #s(literal -1 binary64) x) x) |
(+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
(fma.f64 (+.f64 #s(literal 1 binary64) y) (fma.f64 y x (neg.f64 y)) x) |
(+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
(fma.f64 y (+.f64 (fma.f64 (+.f64 #s(literal 1 binary64) y) (fma.f64 y x (neg.f64 y)) #s(literal -1 binary64)) x) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (+ (* -1 (/ x y)) (/ 1 y))) |
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 2)))))) |
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y y))) (-.f64 #s(literal 1 binary64) (/.f64 x y))) |
(- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 3))) (+ (/ 1 y) (/ 1 (pow y 3)))))) (* -1 (/ (+ 1 (* -1 x)) (pow y 2)))) |
(+.f64 (+.f64 (fma.f64 (/.f64 #s(literal -1 binary64) y) (+.f64 x (/.f64 x (*.f64 y y))) (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y y)))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ (- x 1) y))) |
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- 1 x) y))) 1) y))) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) x)) y)) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (+ 1 (* -1 (/ (- x 1) y))) x) y))) 1) y))) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) x)) y) (-.f64 #s(literal 1 binary64) x)) y)) |
Compiled 11 114 to 1 532 computations (86.2% saved)
9 alts after pruning (9 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 348 | 9 | 357 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 349 | 9 | 358 |
| Status | Accuracy | Program |
|---|---|---|
| 65.3% | (-.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 x))) | |
| ▶ | 46.5% | (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)))) |
| ▶ | 67.1% | (-.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x))) |
| ▶ | 36.0% | (-.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))) |
| 35.2% | (-.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal -1 binary64) (+.f64 x (/.f64 (+.f64 #s(literal -1 binary64) x) y))) y))) | |
| 36.7% | (-.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y))) | |
| ▶ | 40.7% | (-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))))) |
| ▶ | 2.5% | (-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)))) |
| 53.8% | (-.f64 #s(literal 1 binary64) (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y))) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))))) (/.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)))))) |
Compiled 286 to 172 computations (39.9% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (/.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) |
| ✓ | cost-diff | 0 | (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)) |
| ✓ | cost-diff | 0 | (-.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))) |
| ✓ | cost-diff | 64 | (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (+.f64 x (/.f64 (+.f64 #s(literal -1 binary64) x) y))) y) (+.f64 #s(literal -1 binary64) x)) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 1 binary64) y) |
| ✓ | cost-diff | 0 | (/.f64 y (-.f64 #s(literal 1 binary64) y)) |
| ✓ | cost-diff | 0 | (log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y))) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)))) |
| ✓ | cost-diff | 0 | (+.f64 y #s(literal -1 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 x (+.f64 y #s(literal -1 binary64))) |
| ✓ | cost-diff | 0 | (log.f64 (/.f64 x (+.f64 y #s(literal -1 binary64)))) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))))) |
| ✓ | cost-diff | 0 | (log.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)))) |
| ✓ | cost-diff | 192 | (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (neg.f64 x) |
| ✓ | cost-diff | 0 | (log1p.f64 (neg.f64 x)) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x))) |
| 12 818× | accelerator-lowering-fma.f32 |
| 12 818× | accelerator-lowering-fma.f64 |
| 2 782× | +-lowering-+.f64 |
| 2 782× | +-lowering-+.f32 |
| 2 326× | --lowering--.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 185 |
| 1 | 56 | 185 |
| 2 | 92 | 185 |
| 3 | 127 | 185 |
| 4 | 169 | 185 |
| 5 | 251 | 185 |
| 6 | 461 | 185 |
| 7 | 1266 | 185 |
| 8 | 4115 | 185 |
| 9 | 7026 | 177 |
| 0 | 8215 | 171 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- 1 (log (+ 1 (neg x)))) |
1 |
(log (+ 1 (neg x))) |
(neg x) |
x |
(- 1 (log (- 1 1))) |
1 |
(log (- 1 1)) |
(- 1 1) |
(- 1 (log (/ x (+ y -1)))) |
1 |
(log (/ x (+ y -1))) |
(/ x (+ y -1)) |
x |
(+ y -1) |
y |
-1 |
(- 1 (log (+ 1 (/ y (- 1 y))))) |
1 |
(log (+ 1 (/ y (- 1 y)))) |
(/ y (- 1 y)) |
y |
(- 1 y) |
(- 1 (log (/ (+ (/ (+ -1 (+ x (/ (+ -1 x) y))) y) (+ -1 x)) y))) |
1 |
(log (/ (+ (/ (+ -1 (+ x (/ (+ -1 x) y))) y) (+ -1 x)) y)) |
(/ (+ (/ (+ -1 (+ x (/ (+ -1 x) y))) y) (+ -1 x)) y) |
(+ (/ (+ -1 (+ x (/ (+ -1 x) y))) y) (+ -1 x)) |
(/ (+ -1 (+ x (/ (+ -1 x) y))) y) |
(+ -1 (+ x (/ (+ -1 x) y))) |
-1 |
(+ x (/ (+ -1 x) y)) |
x |
(/ (+ -1 x) y) |
(+ -1 x) |
y |
| Outputs |
|---|
(- 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 (log (- 1 1))) |
(-.f64 #s(literal 1 binary64) (log.f64 #s(literal 0 binary64))) |
1 |
#s(literal 1 binary64) |
(log (- 1 1)) |
(log.f64 #s(literal 0 binary64)) |
(- 1 1) |
#s(literal 0 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) |
(- 1 (log (+ 1 (/ y (- 1 y))))) |
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)))) |
1 |
#s(literal 1 binary64) |
(log (+ 1 (/ y (- 1 y)))) |
(log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y))) |
(/ y (- 1 y)) |
(/.f64 y (-.f64 #s(literal 1 binary64) y)) |
y |
(- 1 y) |
(-.f64 #s(literal 1 binary64) y) |
(- 1 (log (/ (+ (/ (+ -1 (+ x (/ (+ -1 x) y))) y) (+ -1 x)) y))) |
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) y))) y))) |
1 |
#s(literal 1 binary64) |
(log (/ (+ (/ (+ -1 (+ x (/ (+ -1 x) y))) y) (+ -1 x)) y)) |
(log.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) y))) y)) |
(/ (+ (/ (+ -1 (+ x (/ (+ -1 x) y))) y) (+ -1 x)) y) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) y))) y) |
(+ (/ (+ -1 (+ x (/ (+ -1 x) y))) y) (+ -1 x)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) y))) |
(/ (+ -1 (+ x (/ (+ -1 x) y))) y) |
(/.f64 (+.f64 x (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) y) |
(+ -1 (+ x (/ (+ -1 x) y))) |
(+.f64 x (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) |
-1 |
#s(literal -1 binary64) |
(+ x (/ (+ -1 x) y)) |
(-.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
x |
(/ (+ -1 x) y) |
(/.f64 (+.f64 x #s(literal -1 binary64)) y) |
(+ -1 x) |
(+.f64 x #s(literal -1 binary64)) |
y |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (+.f64 x (/.f64 (+.f64 #s(literal -1 binary64) x) y)) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal -1 binary64) (+.f64 x (/.f64 (+.f64 #s(literal -1 binary64) x) y))) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal -1 binary64) x) |
| ✓ | accuracy | 100.0% | (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)) |
| ✓ | accuracy | 100.0% | (/.f64 y (-.f64 #s(literal 1 binary64) y)) |
| ✓ | accuracy | 100.0% | (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)))) |
| ✓ | accuracy | 100.0% | (-.f64 #s(literal 1 binary64) y) |
| ✓ | accuracy | 100.0% | (log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y))) |
| ✓ | accuracy | 100.0% | (/.f64 x (+.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 y #s(literal -1 binary64)) |
| ✓ | accuracy | 100.0% | (log.f64 (/.f64 x (+.f64 y #s(literal -1 binary64)))) |
| ✓ | accuracy | 100.0% | (-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)))) |
| ✓ | accuracy | 100.0% | (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (log.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64))) |
| ✓ | accuracy | 100.0% | (-.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x))) |
| ✓ | accuracy | 100.0% | (neg.f64 x) |
| ✓ | accuracy | 100.0% | (log1p.f64 (neg.f64 x)) |
| 59.0ms | 256× | 0 | invalid |
Compiled 187 to 29 computations (84.5% saved)
ival-div: 15.0ms (35.8% of total)ival-sub: 8.0ms (19.1% of total)ival-add: 7.0ms (16.7% of total)ival-log: 6.0ms (14.3% of total)ival-log1p: 4.0ms (9.5% of total)ival-neg: 2.0ms (4.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt (- 1 (log (+ 1 (neg x))))> |
#<alt (log (+ 1 (neg x)))> |
#<alt (neg x)> |
#<alt (- 1 1)> |
#<alt (- 1 (log (- 1 1)))> |
#<alt (log (- 1 1))> |
#<alt (- 1 (log (/ x (+ y -1))))> |
#<alt (log (/ x (+ y -1)))> |
#<alt (/ x (+ y -1))> |
#<alt (+ y -1)> |
#<alt (- 1 (log (+ 1 (/ y (- 1 y)))))> |
#<alt (log (+ 1 (/ y (- 1 y))))> |
#<alt (/ y (- 1 y))> |
#<alt (- 1 y)> |
#<alt (+ (/ (+ -1 (+ x (/ (+ -1 x) y))) y) (+ -1 x))> |
#<alt (- 1 (log (/ (+ (/ (+ -1 (+ x (/ (+ -1 x) y))) y) (+ -1 x)) y)))> |
#<alt (log (/ (+ (/ (+ -1 (+ x (/ (+ -1 x) y))) y) (+ -1 x)) y))> |
#<alt (/ (+ (/ (+ -1 (+ x (/ (+ -1 x) y))) y) (+ -1 x)) y)> |
#<alt (+ -1 x)> |
#<alt (+ -1 (+ x (/ (+ -1 x) y)))> |
#<alt (+ x (/ (+ -1 x) y))> |
| Outputs |
|---|
#<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 x) (log (/ 1 (- y 1)))))> |
#<alt (- 1 (+ (log x) (log (/ 1 (- y 1)))))> |
#<alt (- 1 (+ (log x) (log (/ 1 (- y 1)))))> |
#<alt (- 1 (+ (log x) (log (/ 1 (- y 1)))))> |
#<alt (- 1 (+ (log (/ 1 (- y 1))) (* -1 (log (/ 1 x)))))> |
#<alt (- 1 (+ (log (/ 1 (- y 1))) (* -1 (log (/ 1 x)))))> |
#<alt (- 1 (+ (log (/ 1 (- y 1))) (* -1 (log (/ 1 x)))))> |
#<alt (- 1 (+ (log (/ 1 (- y 1))) (* -1 (log (/ 1 x)))))> |
#<alt (- 1 (+ (log (/ -1 (- y 1))) (* -1 (log (/ -1 x)))))> |
#<alt (- 1 (+ (log (/ -1 (- y 1))) (* -1 (log (/ -1 x)))))> |
#<alt (- 1 (+ (log (/ -1 (- y 1))) (* -1 (log (/ -1 x)))))> |
#<alt (- 1 (+ (log (/ -1 (- y 1))) (* -1 (log (/ -1 x)))))> |
#<alt (- 1 (log (* -1 x)))> |
#<alt (- (+ 1 (* -1 y)) (log (* -1 x)))> |
#<alt (- (+ 1 (* y (- (* -1/2 y) 1))) (log (* -1 x)))> |
#<alt (- (+ 1 (* y (- (* y (- (* -1/3 y) 1/2)) 1))) (log (* -1 x)))> |
#<alt (- 1 (+ (log x) (log (/ 1 y))))> |
#<alt (- 1 (+ (log x) (+ (log (/ 1 y)) (/ 1 y))))> |
#<alt (- (+ 1 (* -1 (/ (+ 1 (* 1/2 (/ 1 y))) y))) (+ (log x) (log (/ 1 y))))> |
#<alt (- (+ 1 (* -1 (/ (+ 1/2 (* 1/3 (/ 1 y))) (pow y 2)))) (+ (log x) (+ (log (/ 1 y)) (/ 1 y))))> |
#<alt (- 1 (+ (log (* -1 x)) (log (/ -1 y))))> |
#<alt (- 1 (+ (log (* -1 x)) (+ (log (/ -1 y)) (/ 1 y))))> |
#<alt (- (+ 1 (* -1 (/ (+ 1 (* 1/2 (/ 1 y))) y))) (+ (log (* -1 x)) (log (/ -1 y))))> |
#<alt (- (+ 1 (* -1 (/ (+ 1 (+ (/ 1/3 (pow y 2)) (* 1/2 (/ 1 y)))) y))) (+ (log (* -1 x)) (log (/ -1 y))))> |
#<alt (+ (log x) (log (/ 1 (- y 1))))> |
#<alt (+ (log x) (log (/ 1 (- y 1))))> |
#<alt (+ (log x) (log (/ 1 (- y 1))))> |
#<alt (+ (log x) (log (/ 1 (- y 1))))> |
#<alt (+ (log (/ 1 (- y 1))) (* -1 (log (/ 1 x))))> |
#<alt (+ (log (/ 1 (- y 1))) (* -1 (log (/ 1 x))))> |
#<alt (+ (log (/ 1 (- y 1))) (* -1 (log (/ 1 x))))> |
#<alt (+ (log (/ 1 (- y 1))) (* -1 (log (/ 1 x))))> |
#<alt (+ (log (/ -1 (- y 1))) (* -1 (log (/ -1 x))))> |
#<alt (+ (log (/ -1 (- y 1))) (* -1 (log (/ -1 x))))> |
#<alt (+ (log (/ -1 (- y 1))) (* -1 (log (/ -1 x))))> |
#<alt (+ (log (/ -1 (- y 1))) (* -1 (log (/ -1 x))))> |
#<alt (log (* -1 x))> |
#<alt (+ y (log (* -1 x)))> |
#<alt (+ (log (* -1 x)) (* y (+ 1 (* 1/2 y))))> |
#<alt (+ (log (* -1 x)) (* y (+ 1 (* y (+ 1/2 (* 1/3 y))))))> |
#<alt (+ (log x) (log (/ 1 y)))> |
#<alt (+ (log x) (+ (log (/ 1 y)) (/ 1 y)))> |
#<alt (+ (log x) (+ (log (/ 1 y)) (+ (/ 1/2 (pow y 2)) (/ 1 y))))> |
#<alt (+ (log x) (+ (log (/ 1 y)) (+ (/ 1/2 (pow y 2)) (+ (/ 1 y) (* 1/3 (/ 1 (pow y 3)))))))> |
#<alt (+ (log (* -1 x)) (log (/ -1 y)))> |
#<alt (+ (log (* -1 x)) (+ (log (/ -1 y)) (/ 1 y)))> |
#<alt (+ (log (* -1 x)) (+ (log (/ -1 y)) (+ (/ 1/2 (pow y 2)) (/ 1 y))))> |
#<alt (+ (log (* -1 x)) (+ (log (/ -1 y)) (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 y))) y)) 1) y))))> |
#<alt (/ x (- y 1))> |
#<alt (/ x (- y 1))> |
#<alt (/ x (- y 1))> |
#<alt (/ x (- y 1))> |
#<alt (/ x (- y 1))> |
#<alt (/ x (- y 1))> |
#<alt (/ x (- y 1))> |
#<alt (/ x (- y 1))> |
#<alt (/ x (- y 1))> |
#<alt (/ x (- y 1))> |
#<alt (/ x (- y 1))> |
#<alt (/ x (- y 1))> |
#<alt (* -1 x)> |
#<alt (+ (* -1 x) (* -1 (* x y)))> |
#<alt (+ (* -1 x) (* y (- (* -1 (* x y)) x)))> |
#<alt (+ (* -1 x) (* y (- (* y (- (* -1 (* x y)) x)) x)))> |
#<alt (/ x y)> |
#<alt (/ (+ x (/ x y)) y)> |
#<alt (/ (- (+ x (/ x (pow y 2))) (* -1 (/ x y))) y)> |
#<alt (/ (- (+ x (/ x (pow y 3))) (+ (* -1 (/ x y)) (* -1 (/ x (pow y 2))))) y)> |
#<alt (/ x y)> |
#<alt (* -1 (/ (+ (* -1 x) (* -1 (/ x y))) y))> |
#<alt (* -1 (/ (+ (* -1 x) (* -1 (/ (+ x (/ x y)) y))) y))> |
#<alt (* -1 (/ (+ (* -1 x) (* -1 (/ (+ x (* -1 (/ (+ (* -1 x) (* -1 (/ x y))) y))) y))) y))> |
#<alt -1> |
#<alt (- y 1)> |
#<alt (- y 1)> |
#<alt (- y 1)> |
#<alt y> |
#<alt (* y (- 1 (/ 1 y)))> |
#<alt (* y (- 1 (/ 1 y)))> |
#<alt (* y (- 1 (/ 1 y)))> |
#<alt y> |
#<alt (* -1 (* y (- (/ 1 y) 1)))> |
#<alt (* -1 (* y (- (/ 1 y) 1)))> |
#<alt (* -1 (* y (- (/ 1 y) 1)))> |
#<alt 1> |
#<alt (+ 1 (* -1 y))> |
#<alt (+ 1 (* y (- (* -1/2 y) 1)))> |
#<alt (+ 1 (* y (- (* y (- (* -1/3 y) 1/2)) 1)))> |
#<alt (- 1 (+ (log -1) (log (/ 1 y))))> |
#<alt (- 1 (+ (log -1) (+ (log (/ 1 y)) (/ 1 y))))> |
#<alt (- (+ 1 (* -1 (/ (+ 1 (* 1/2 (/ 1 y))) y))) (+ (log -1) (log (/ 1 y))))> |
#<alt (- (+ 1 (* -1 (/ (+ 1/2 (* 1/3 (/ 1 y))) (pow y 2)))) (+ (log -1) (+ (log (/ 1 y)) (/ 1 y))))> |
#<alt (- 1 (log (/ -1 y)))> |
#<alt (- 1 (+ (log (/ -1 y)) (/ 1 y)))> |
#<alt (- (+ 1 (* -1 (/ (+ 1 (* 1/2 (/ 1 y))) y))) (log (/ -1 y)))> |
#<alt (- (+ 1 (* -1 (/ (+ 1 (+ (/ 1/3 (pow y 2)) (* 1/2 (/ 1 y)))) y))) (log (/ -1 y)))> |
#<alt y> |
#<alt (* y (+ 1 (* 1/2 y)))> |
#<alt (* y (+ 1 (* y (+ 1/2 (* 1/3 y)))))> |
#<alt (* y (+ 1 (* y (+ 1/2 (* y (+ 1/3 (* 1/4 y)))))))> |
#<alt (+ (log -1) (log (/ 1 y)))> |
#<alt (+ (log -1) (+ (log (/ 1 y)) (/ 1 y)))> |
#<alt (+ (log -1) (+ (log (/ 1 y)) (+ (/ 1/2 (pow y 2)) (/ 1 y))))> |
#<alt (+ (log -1) (+ (log (/ 1 y)) (+ (/ 1/2 (pow y 2)) (+ (/ 1 y) (* 1/3 (/ 1 (pow y 3)))))))> |
#<alt (log (/ -1 y))> |
#<alt (+ (log (/ -1 y)) (/ 1 y))> |
#<alt (+ (log (/ -1 y)) (+ (/ 1/2 (pow y 2)) (/ 1 y)))> |
#<alt (+ (log (/ -1 y)) (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 y))) y)) 1) y)))> |
#<alt y> |
#<alt (* y (+ 1 y))> |
#<alt (* y (+ 1 (* y (+ 1 y))))> |
#<alt (* y (+ 1 (* y (+ 1 (* y (+ 1 y))))))> |
#<alt -1> |
#<alt (* -1 (+ 1 (/ 1 y)))> |
#<alt (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1)> |
#<alt (- (* -1 (/ (+ 1 (/ 1 y)) (pow y 2))) (+ 1 (/ 1 y)))> |
#<alt -1> |
#<alt (* -1 (+ 1 (/ 1 y)))> |
#<alt (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1)> |
#<alt (- (* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y)) 1)> |
#<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 (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))))> |
#<alt (- (* x (+ 1 (+ (/ 1 y) (/ 1 (pow y 2))))) (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))))> |
#<alt (- (* x (+ 1 (+ (/ 1 y) (/ 1 (pow y 2))))) (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))))> |
#<alt (- (* x (+ 1 (+ (/ 1 y) (/ 1 (pow y 2))))) (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))))> |
#<alt (* x (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))))> |
#<alt (* x (+ 1 (+ (* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) x)) (+ (/ 1 y) (/ 1 (pow y 2))))))> |
#<alt (* x (+ 1 (+ (* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) x)) (+ (/ 1 y) (/ 1 (pow y 2))))))> |
#<alt (* x (+ 1 (+ (* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) x)) (+ (/ 1 y) (/ 1 (pow y 2))))))> |
#<alt (* x (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))))> |
#<alt (* -1 (* x (- (+ (/ 1 x) (+ (/ 1 (* x y)) (/ 1 (* x (pow y 2))))) (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))))))> |
#<alt (* -1 (* x (- (+ (/ 1 x) (+ (/ 1 (* x y)) (/ 1 (* x (pow y 2))))) (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))))))> |
#<alt (* -1 (* x (- (+ (/ 1 x) (+ (/ 1 (* x y)) (/ 1 (* x (pow y 2))))) (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))))))> |
#<alt (/ (- x 1) (pow y 2))> |
#<alt (/ (- (+ x (* y (- x 1))) 1) (pow y 2))> |
#<alt (/ (- (+ x (* y (- (+ x (* y (- x 1))) 1))) 1) (pow y 2))> |
#<alt (/ (- (+ x (* y (- (+ x (* y (- x 1))) 1))) 1) (pow y 2))> |
#<alt (- x 1)> |
#<alt (- (+ x (/ x y)) (+ 1 (/ 1 y)))> |
#<alt (- (+ x (+ (/ x y) (/ x (pow y 2)))) (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))))> |
#<alt (- (+ x (+ (/ x y) (/ x (pow y 2)))) (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))))> |
#<alt (- x 1)> |
#<alt (- (+ x (/ x y)) (+ 1 (/ 1 y)))> |
#<alt (- (+ x (* -1 (/ (+ (* -1 (- x 1)) (* -1 (/ (- x 1) y))) y))) 1)> |
#<alt (- (+ x (* -1 (/ (+ (* -1 (- x 1)) (* -1 (/ (- x 1) y))) y))) 1)> |
#<alt (- 1 (log (* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y))))> |
#<alt (- (+ 1 (/ (* x (* y (+ (/ 1 y) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3)))))) (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))))) (log (* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y))))> |
#<alt (- (+ 1 (* x (- (* 1/2 (/ (* x (* (pow y 2) (pow (+ (/ 1 y) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3)))) 2))) (pow (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) 2))) (* -1 (/ (* y (+ (/ 1 y) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3))))) (+ 1 (+ (/ 1 y) (/ 1 (pow y 2))))))))) (log (* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y))))> |
#<alt (- (+ 1 (* x (- (* x (- (* 1/3 (/ (* x (* (pow y 3) (pow (+ (/ 1 y) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3)))) 3))) (pow (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) 3))) (* -1/2 (/ (* (pow y 2) (pow (+ (/ 1 y) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3)))) 2)) (pow (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) 2))))) (* -1 (/ (* y (+ (/ 1 y) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3))))) (+ 1 (+ (/ 1 y) (/ 1 (pow y 2))))))))) (log (* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y))))> |
#<alt (- 1 (+ (log (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y)) (* -1 (log (/ 1 x)))))> |
#<alt (- (+ 1 (/ 1 x)) (+ (log (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y)) (* -1 (log (/ 1 x)))))> |
#<alt (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ 1 x))) (+ (log (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y)) (* -1 (log (/ 1 x)))))> |
#<alt (- (+ 1 (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3)))))) (+ (log (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y)) (* -1 (log (/ 1 x)))))> |
#<alt (- 1 (+ (log (* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y))) (* -1 (log (/ -1 x)))))> |
#<alt (- (+ 1 (/ 1 x)) (+ (log (* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y))) (* -1 (log (/ -1 x)))))> |
#<alt (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ 1 x))) (+ (log (* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y))) (* -1 (log (/ -1 x)))))> |
#<alt (- (+ 1 (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x))) (+ (log (* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y))) (* -1 (log (/ -1 x)))))> |
#<alt (- 1 (+ (log (- x 1)) (* -3 (log y))))> |
#<alt (- (+ 1 (* -1 y)) (+ (log (- x 1)) (* -3 (log y))))> |
#<alt (- (+ 1 (* y (- (* -1/2 y) 1))) (+ (log (- x 1)) (* -3 (log y))))> |
#<alt (- (+ 1 (* y (- (* y (- (* 2/3 y) 1/2)) 1))) (+ (log (- x 1)) (* -3 (log y))))> |
#<alt (- 1 (+ (log (- x 1)) (log (/ 1 y))))> |
#<alt (- 1 (+ (log (- x 1)) (+ (log (/ 1 y)) (/ 1 y))))> |
#<alt (- (+ 1 (* -1 (/ (+ 1 (* 1/2 (/ 1 y))) y))) (+ (log (- x 1)) (log (/ 1 y))))> |
#<alt (- (+ 1 (* 2/3 (/ 1 (pow y 3)))) (+ (log (- x 1)) (+ (log (/ 1 y)) (+ (/ 1/2 (pow y 2)) (/ 1 y)))))> |
#<alt (- 1 (+ (log (* -1 (- x 1))) (log (/ -1 y))))> |
#<alt (- 1 (+ (log (* -1 (- x 1))) (+ (log (/ -1 y)) (/ 1 y))))> |
#<alt (- (+ 1 (* -1 (/ (+ 1 (* 1/2 (/ 1 y))) y))) (+ (log (* -1 (- x 1))) (log (/ -1 y))))> |
#<alt (- (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- (* 2/3 (/ 1 y)) 1/2) y))) y))) (+ (log (* -1 (- x 1))) (log (/ -1 y))))> |
#<alt (log (* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y)))> |
#<alt (+ (log (* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y))) (* -1 (/ (* x (* y (+ (/ 1 y) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3)))))) (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))))))> |
#<alt (+ (log (* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y))) (* x (+ (* -1 (/ (* y (+ (/ 1 y) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3))))) (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))))) (* -1/2 (/ (* x (* (pow y 2) (pow (+ (/ 1 y) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3)))) 2))) (pow (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) 2))))))> |
#<alt (+ (log (* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y))) (* x (+ (* -1 (/ (* y (+ (/ 1 y) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3))))) (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))))) (* x (+ (* -1/2 (/ (* (pow y 2) (pow (+ (/ 1 y) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3)))) 2)) (pow (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) 2))) (* -1/3 (/ (* x (* (pow y 3) (pow (+ (/ 1 y) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3)))) 3))) (pow (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) 3))))))))> |
#<alt (+ (log (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y)) (* -1 (log (/ 1 x))))> |
#<alt (- (+ (log (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y)) (* -1 (log (/ 1 x)))) (/ 1 x))> |
#<alt (+ (log (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y)) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x))))> |
#<alt (- (+ (log (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y)) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) (pow x 2))))) (/ 1 x))> |
#<alt (+ (log (* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y))) (* -1 (log (/ -1 x))))> |
#<alt (- (+ (log (* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y))) (* -1 (log (/ -1 x)))) (/ 1 x))> |
#<alt (+ (log (* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y))) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x))))> |
#<alt (+ (log (* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y))) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) x))))> |
#<alt (+ (log (- x 1)) (* -3 (log y)))> |
#<alt (+ y (+ (log (- x 1)) (* -3 (log y))))> |
#<alt (+ (log (- x 1)) (+ (* -3 (log y)) (* y (+ 1 (* 1/2 y)))))> |
#<alt (+ (log (- x 1)) (+ (* -3 (log y)) (* y (+ 1 (* y (+ 1/2 (* -2/3 y)))))))> |
#<alt (+ (log (- x 1)) (log (/ 1 y)))> |
#<alt (+ (log (- x 1)) (+ (log (/ 1 y)) (/ 1 y)))> |
#<alt (+ (log (- x 1)) (+ (log (/ 1 y)) (+ (/ 1/2 (pow y 2)) (/ 1 y))))> |
#<alt (- (+ (log (- x 1)) (+ (log (/ 1 y)) (+ (/ 1/2 (pow y 2)) (/ 1 y)))) (* 2/3 (/ 1 (pow y 3))))> |
#<alt (+ (log (* -1 (- x 1))) (log (/ -1 y)))> |
#<alt (+ (log (* -1 (- x 1))) (+ (log (/ -1 y)) (/ 1 y)))> |
#<alt (+ (log (* -1 (- x 1))) (+ (log (/ -1 y)) (+ (/ 1/2 (pow y 2)) (/ 1 y))))> |
#<alt (+ (log (* -1 (- x 1))) (+ (log (/ -1 y)) (* -1 (/ (- (* -1 (/ (- 1/2 (* 2/3 (/ 1 y))) y)) 1) y))))> |
#<alt (* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y))> |
#<alt (+ (* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y)) (* x (+ (/ 1 y) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3))))))> |
#<alt (+ (* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y)) (* x (+ (/ 1 y) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3))))))> |
#<alt (+ (* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y)) (* x (+ (/ 1 y) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3))))))> |
#<alt (/ (* x (+ 1 (+ (/ 1 y) (/ 1 (pow y 2))))) y)> |
#<alt (* x (+ (* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) (* x y))) (+ (/ 1 y) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3))))))> |
#<alt (* x (+ (* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) (* x y))) (+ (/ 1 y) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3))))))> |
#<alt (* x (+ (* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) (* x y))) (+ (/ 1 y) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3))))))> |
#<alt (/ (* x (+ 1 (+ (/ 1 y) (/ 1 (pow y 2))))) y)> |
#<alt (* -1 (* x (+ (* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y)) (+ (/ 1 (* x y)) (+ (/ 1 (* x (pow y 2))) (/ 1 (* x (pow y 3))))))))> |
#<alt (* -1 (* x (+ (* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y)) (+ (/ 1 (* x y)) (+ (/ 1 (* x (pow y 2))) (/ 1 (* x (pow y 3))))))))> |
#<alt (* -1 (* x (+ (* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y)) (+ (/ 1 (* x y)) (+ (/ 1 (* x (pow y 2))) (/ 1 (* x (pow y 3))))))))> |
#<alt (/ (- x 1) (pow y 3))> |
#<alt (/ (- (+ x (* y (- x 1))) 1) (pow y 3))> |
#<alt (/ (- (+ x (* y (- (+ x (* y (- x 1))) 1))) 1) (pow y 3))> |
#<alt (/ (- (+ x (* y (- (+ x (* y (- x 1))) 1))) 1) (pow y 3))> |
#<alt (/ (- x 1) y)> |
#<alt (/ (- (+ x (/ x y)) (+ 1 (/ 1 y))) y)> |
#<alt (/ (- (+ x (+ (/ x y) (/ x (pow y 2)))) (+ 1 (+ (/ 1 y) (/ 1 (pow y 2))))) y)> |
#<alt (/ (- (+ x (+ (/ x y) (/ x (pow y 2)))) (+ 1 (+ (/ 1 y) (/ 1 (pow y 2))))) y)> |
#<alt (/ (- x 1) y)> |
#<alt (* -1 (/ (+ (* -1 (- x 1)) (* -1 (/ (- x 1) y))) y))> |
#<alt (* -1 (/ (+ (* -1 (- x 1)) (* -1 (/ (- (+ x (/ x y)) (+ 1 (/ 1 y))) y))) y))> |
#<alt (* -1 (/ (+ (* -1 (- x 1)) (* -1 (/ (- (+ x (/ x y)) (+ 1 (/ 1 y))) y))) 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 (+ 1 (/ 1 y)))> |
#<alt (- (* x (+ 1 (/ 1 y))) (+ 1 (/ 1 y)))> |
#<alt (- (* x (+ 1 (/ 1 y))) (+ 1 (/ 1 y)))> |
#<alt (- (* x (+ 1 (/ 1 y))) (+ 1 (/ 1 y)))> |
#<alt (* x (+ 1 (/ 1 y)))> |
#<alt (* x (+ 1 (+ (* -1 (/ (+ 1 (/ 1 y)) x)) (/ 1 y))))> |
#<alt (* x (+ 1 (+ (* -1 (/ (+ 1 (/ 1 y)) x)) (/ 1 y))))> |
#<alt (* x (+ 1 (+ (* -1 (/ (+ 1 (/ 1 y)) x)) (/ 1 y))))> |
#<alt (* x (+ 1 (/ 1 y)))> |
#<alt (* -1 (* x (- (+ (/ 1 x) (/ 1 (* x y))) (+ 1 (/ 1 y)))))> |
#<alt (* -1 (* x (- (+ (/ 1 x) (/ 1 (* x y))) (+ 1 (/ 1 y)))))> |
#<alt (* -1 (* x (- (+ (/ 1 x) (/ 1 (* x y))) (+ 1 (/ 1 y)))))> |
#<alt (/ (- x 1) y)> |
#<alt (/ (- (+ x (* y (- x 1))) 1) y)> |
#<alt (/ (- (+ x (* y (- x 1))) 1) y)> |
#<alt (/ (- (+ x (* y (- x 1))) 1) y)> |
#<alt (- x 1)> |
#<alt (- (+ x (/ x y)) (+ 1 (/ 1 y)))> |
#<alt (- (+ x (/ x y)) (+ 1 (/ 1 y)))> |
#<alt (- (+ x (/ x y)) (+ 1 (/ 1 y)))> |
#<alt (- x 1)> |
#<alt (- (+ x (/ x y)) (+ 1 (/ 1 y)))> |
#<alt (- (+ x (/ x y)) (+ 1 (/ 1 y)))> |
#<alt (- (+ x (/ x y)) (+ 1 (/ 1 y)))> |
#<alt (/ -1 y)> |
#<alt (- (* x (+ 1 (/ 1 y))) (/ 1 y))> |
#<alt (- (* x (+ 1 (/ 1 y))) (/ 1 y))> |
#<alt (- (* x (+ 1 (/ 1 y))) (/ 1 y))> |
#<alt (* x (+ 1 (/ 1 y)))> |
#<alt (* x (- (+ 1 (/ 1 y)) (/ 1 (* x y))))> |
#<alt (* x (- (+ 1 (/ 1 y)) (/ 1 (* x y))))> |
#<alt (* x (- (+ 1 (/ 1 y)) (/ 1 (* x y))))> |
#<alt (* x (+ 1 (/ 1 y)))> |
#<alt (* -1 (* x (- (/ 1 (* x y)) (+ 1 (/ 1 y)))))> |
#<alt (* -1 (* x (- (/ 1 (* x y)) (+ 1 (/ 1 y)))))> |
#<alt (* -1 (* x (- (/ 1 (* x y)) (+ 1 (/ 1 y)))))> |
#<alt (/ (- x 1) y)> |
#<alt (/ (- (+ x (* x y)) 1) y)> |
#<alt (/ (- (+ x (* x y)) 1) y)> |
#<alt (/ (- (+ x (* x y)) 1) y)> |
#<alt x> |
#<alt (- (+ x (/ x y)) (/ 1 y))> |
#<alt (- (+ x (/ x y)) (/ 1 y))> |
#<alt (- (+ x (/ x y)) (/ 1 y))> |
#<alt x> |
#<alt (- (+ x (/ x y)) (/ 1 y))> |
#<alt (- (+ x (/ x y)) (/ 1 y))> |
#<alt (- (+ x (/ x y)) (/ 1 y))> |
81 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 173.0ms | x | @ | 0 | (- 1 (log (/ x (+ y -1)))) |
| 25.0ms | x | @ | -inf | (- 1 (log (/ x (+ y -1)))) |
| 7.0ms | x | @ | inf | (- 1 (log (/ x (+ y -1)))) |
| 3.0ms | x | @ | 0 | (/ (+ (/ (+ -1 (+ x (/ (+ -1 x) y))) y) (+ -1 x)) y) |
| 2.0ms | x | @ | 0 | (log (+ 1 (neg x))) |
| 1× | batch-egg-rewrite |
| 4 412× | /-lowering-/.f32 |
| 4 412× | /-lowering-/.f64 |
| 4 228× | accelerator-lowering-fma.f32 |
| 4 228× | accelerator-lowering-fma.f64 |
| 3 312× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 156 |
| 1 | 225 | 156 |
| 2 | 2251 | 156 |
| 0 | 8652 | 150 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- 1 (log (+ 1 (neg x)))) |
(log (+ 1 (neg x))) |
(neg x) |
(- 1 1) |
(- 1 (log (- 1 1))) |
(log (- 1 1)) |
(- 1 (log (/ x (+ y -1)))) |
(log (/ x (+ y -1))) |
(/ x (+ y -1)) |
(+ y -1) |
(- 1 (log (+ 1 (/ y (- 1 y))))) |
(log (+ 1 (/ y (- 1 y)))) |
(/ y (- 1 y)) |
(- 1 y) |
(+ (/ (+ -1 (+ x (/ (+ -1 x) y))) y) (+ -1 x)) |
(- 1 (log (/ (+ (/ (+ -1 (+ x (/ (+ -1 x) y))) y) (+ -1 x)) y))) |
(log (/ (+ (/ (+ -1 (+ x (/ (+ -1 x) y))) y) (+ -1 x)) y)) |
(/ (+ (/ (+ -1 (+ x (/ (+ -1 x) y))) y) (+ -1 x)) y) |
(+ -1 x) |
(+ -1 (+ x (/ (+ -1 x) y))) |
(+ x (/ (+ -1 x) y)) |
| Outputs |
|---|
(+.f64 #s(literal 1 binary64) (neg.f64 (log1p.f64 (neg.f64 x)))) |
(+.f64 (neg.f64 (log1p.f64 (neg.f64 x))) #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x))) |
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (log1p.f64 (neg.f64 x)) (+.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x))) #s(literal 1 binary64))) (/.f64 (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 3 binary64)) (fma.f64 (log1p.f64 (neg.f64 x)) (+.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x))) #s(literal 1 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x)))) (/.f64 (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (neg.f64 (log1p.f64 (neg.f64 x))))) (/.f64 (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (neg.f64 (log1p.f64 (neg.f64 x)))))) |
(fma.f64 #s(literal -1 binary64) (log1p.f64 (neg.f64 x)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (log1p.f64 (neg.f64 x)) (+.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x))) (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 2 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (log1p.f64 (neg.f64 x)) (+.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 3 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x))) (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 3 binary64))) (fma.f64 (log1p.f64 (neg.f64 x)) (+.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x))) #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (neg.f64 (log1p.f64 (neg.f64 x))))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (neg.f64 (log1p.f64 (neg.f64 x))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (log1p.f64 (neg.f64 x)) (+.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x))) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (neg.f64 (log1p.f64 (neg.f64 x)))))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 2 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (log1p.f64 (neg.f64 x)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (log1p.f64 (neg.f64 x)) (+.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x))) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x)))))) |
(/.f64 (+.f64 (pow.f64 (neg.f64 (log1p.f64 (neg.f64 x))) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (log1p.f64 (neg.f64 x))) #s(literal 1 binary64))))) |
(pow.f64 (/.f64 (fma.f64 (log1p.f64 (neg.f64 x)) (+.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x))) (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (log1p.f64 (neg.f64 x)) (+.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x))) #s(literal 1 binary64)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x))))) |
(log.f64 (-.f64 #s(literal 1 binary64) x)) |
(+.f64 (log1p.f64 (*.f64 x (*.f64 x x))) (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))) |
(+.f64 (log1p.f64 (neg.f64 (*.f64 x x))) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))) |
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (+.f64 x #s(literal -1 binary64)))) |
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))))) |
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) |
(-.f64 (log1p.f64 (*.f64 x (*.f64 x x))) (log1p.f64 (*.f64 x (-.f64 x #s(literal -1 binary64))))) |
(-.f64 (log1p.f64 (*.f64 x (*.f64 x x))) (log.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)))) |
(-.f64 (log1p.f64 (neg.f64 (*.f64 x x))) (log1p.f64 x)) |
(-.f64 (log1p.f64 (neg.f64 (*.f64 x x))) (log.f64 (neg.f64 (-.f64 #s(literal -1 binary64) x)))) |
(-.f64 (log.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (log.f64 (neg.f64 (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))) |
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (log1p.f64 (*.f64 x (-.f64 x #s(literal -1 binary64))))) |
(-.f64 (log.f64 (neg.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))) (log1p.f64 (*.f64 x (-.f64 x #s(literal -1 binary64))))) |
(-.f64 (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (log.f64 (-.f64 #s(literal -1 binary64) x))) |
(-.f64 (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (log.f64 (neg.f64 (+.f64 #s(literal 1 binary64) x)))) |
(-.f64 (log.f64 (neg.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (log.f64 (neg.f64 (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))) |
(-.f64 (log.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))) (log.f64 (-.f64 (neg.f64 x) #s(literal 1 binary64)))) |
(neg.f64 (log.f64 (/.f64 (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))))) |
(neg.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) |
(log1p.f64 (neg.f64 x)) |
(*.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x))) |
(*.f64 (log1p.f64 (neg.f64 x)) #s(literal 1 binary64)) |
(+.f64 #s(literal 0 binary64) (neg.f64 x)) |
(-.f64 #s(literal 0 binary64) x) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x)))) (/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 0 binary64) x))) |
(neg.f64 x) |
(neg.f64 (*.f64 #s(literal 1 binary64) x)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x)) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x)))) (neg.f64 (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))) (neg.f64 (+.f64 #s(literal 0 binary64) x))) |
(/.f64 (+.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal 0 binary64) (neg.f64 x))))) |
(*.f64 #s(literal 1 binary64) (neg.f64 x)) |
(*.f64 x #s(literal -1 binary64)) |
(*.f64 (neg.f64 x) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) x) |
#s(literal 0 binary64) |
(+.f64 #s(literal 1 binary64) (neg.f64 (log.f64 #s(literal 0 binary64)))) |
(+.f64 (neg.f64 (log.f64 #s(literal 0 binary64))) #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) (log.f64 #s(literal 0 binary64))) |
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 #s(literal 0 binary64)) (+.f64 #s(literal 1 binary64) (log.f64 #s(literal 0 binary64))) #s(literal 1 binary64))) (/.f64 (pow.f64 (log.f64 #s(literal 0 binary64)) #s(literal 3 binary64)) (fma.f64 (log.f64 #s(literal 0 binary64)) (+.f64 #s(literal 1 binary64) (log.f64 #s(literal 0 binary64))) #s(literal 1 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (log.f64 #s(literal 0 binary64)))) (/.f64 (pow.f64 (log.f64 #s(literal 0 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (log.f64 #s(literal 0 binary64))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (neg.f64 (log.f64 #s(literal 0 binary64))))) (/.f64 (pow.f64 (log.f64 #s(literal 0 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (neg.f64 (log.f64 #s(literal 0 binary64)))))) |
(fma.f64 #s(literal -1 binary64) (log.f64 #s(literal 0 binary64)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (log.f64 #s(literal 0 binary64)) (+.f64 #s(literal 1 binary64) (log.f64 #s(literal 0 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (log.f64 #s(literal 0 binary64)) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (log.f64 #s(literal 0 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (log.f64 #s(literal 0 binary64)) #s(literal 2 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (log.f64 #s(literal 0 binary64)) (+.f64 #s(literal 1 binary64) (log.f64 #s(literal 0 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (log.f64 #s(literal 0 binary64)) #s(literal 3 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (log.f64 #s(literal 0 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (log.f64 #s(literal 0 binary64)) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log.f64 #s(literal 0 binary64)) #s(literal 3 binary64))) (fma.f64 (log.f64 #s(literal 0 binary64)) (+.f64 #s(literal 1 binary64) (log.f64 #s(literal 0 binary64))) #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log.f64 #s(literal 0 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (log.f64 #s(literal 0 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (neg.f64 (log.f64 #s(literal 0 binary64))))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log.f64 #s(literal 0 binary64)) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (log.f64 #s(literal 0 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log.f64 #s(literal 0 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (neg.f64 (log.f64 #s(literal 0 binary64))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log.f64 #s(literal 0 binary64)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (log.f64 #s(literal 0 binary64)) (+.f64 #s(literal 1 binary64) (log.f64 #s(literal 0 binary64))) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log.f64 #s(literal 0 binary64)) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (log.f64 #s(literal 0 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (neg.f64 (log.f64 #s(literal 0 binary64)))))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log.f64 #s(literal 0 binary64)) #s(literal 2 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (log.f64 #s(literal 0 binary64))))) |
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(*.f64 (fma.f64 (+.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) y)) (*.f64 (+.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) y)) (+.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) y))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) y)) (-.f64 (+.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) y)) #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) y)) (+.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) y)))) (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 #s(literal -1 binary64) x) (/.f64 (+.f64 x #s(literal -1 binary64)) y)))) |
(+.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) y)) |
(+.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) x) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) y))) (/.f64 (/.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))) (*.f64 y y)) (-.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) y)))) |
(-.f64 (/.f64 (/.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))) (*.f64 y y)) (-.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) x)) (/.f64 (*.f64 x x) (-.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) x))) |
(fma.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y) x) |
(fma.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y) x) |
(fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) #s(literal 1 binary64) x) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (neg.f64 y)) x) |
(fma.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64)) x) |
(fma.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)) x) |
(fma.f64 (pow.f64 (/.f64 y (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) x) |
(fma.f64 (pow.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) x) |
(fma.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (+.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) x) |
(fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y) x) |
(fma.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) y) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) x) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) y) x) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) y) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64)) x) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) y) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) x) |
(fma.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) y) x) |
(fma.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) y) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) x) |
(fma.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) y) x) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) y) x) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (-.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) x))) (fma.f64 x (*.f64 x x) (/.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) (*.f64 y (*.f64 y y)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) y)) (-.f64 (*.f64 x x) (/.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))) (*.f64 y y))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x x (*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (-.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) x))) (fma.f64 x (*.f64 x x) (/.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) (*.f64 y (*.f64 y y))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) y)) (-.f64 (*.f64 x x) (/.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))) (*.f64 y y)))))) |
(/.f64 (fma.f64 x (*.f64 x x) (/.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) (*.f64 y (*.f64 y y)))) (fma.f64 x x (*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (-.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) x)))) |
(/.f64 (fma.f64 x (*.f64 x x) (/.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) (*.f64 y (*.f64 y y)))) (+.f64 (/.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))) (*.f64 y y)) (-.f64 (*.f64 x x) (/.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))) y)))) |
(/.f64 (-.f64 (*.f64 x x) (/.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))) (*.f64 y y))) (-.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) y))) |
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (/.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) (*.f64 y (*.f64 y y))))) (neg.f64 (fma.f64 x x (*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (-.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) x))))) |
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (/.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) (*.f64 y (*.f64 y y))))) (neg.f64 (+.f64 (/.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))) (*.f64 y y)) (-.f64 (*.f64 x x) (/.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))) y))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (/.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))) (*.f64 y y)))) (neg.f64 (-.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) y)))) |
(/.f64 (-.f64 (/.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))) (*.f64 y y)) (*.f64 x x)) (-.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) x)) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 x x) (/.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) (*.f64 y (*.f64 y y)))))) (neg.f64 (neg.f64 (fma.f64 x x (*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (-.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) x)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 x x) (/.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))) (*.f64 y y))))) (neg.f64 (neg.f64 (-.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) y))))) |
(/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))) (*.f64 y y)) (*.f64 x x))) (neg.f64 (-.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) x))) |
(pow.f64 (/.f64 (fma.f64 x x (*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (-.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) x))) (fma.f64 x (*.f64 x x) (/.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) (*.f64 y (*.f64 y y))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) y)) (-.f64 (*.f64 x x) (/.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))) (*.f64 y y)))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 x (*.f64 x x) (/.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (-.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) x))))) |
(*.f64 (-.f64 (*.f64 x x) (/.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) y)))) |
| 1× | egg-herbie |
| 8 190× | accelerator-lowering-fma.f32 |
| 8 190× | accelerator-lowering-fma.f64 |
| 4 720× | +-lowering-+.f64 |
| 4 720× | +-lowering-+.f32 |
| 4 444× | --lowering--.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 485 | 4444 |
| 1 | 1503 | 4159 |
| 2 | 4612 | 4043 |
| 0 | 8602 | 3934 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
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 x) (log (/ 1 (- y 1))))) |
(- 1 (+ (log x) (log (/ 1 (- y 1))))) |
(- 1 (+ (log x) (log (/ 1 (- y 1))))) |
(- 1 (+ (log x) (log (/ 1 (- y 1))))) |
(- 1 (+ (log (/ 1 (- y 1))) (* -1 (log (/ 1 x))))) |
(- 1 (+ (log (/ 1 (- y 1))) (* -1 (log (/ 1 x))))) |
(- 1 (+ (log (/ 1 (- y 1))) (* -1 (log (/ 1 x))))) |
(- 1 (+ (log (/ 1 (- y 1))) (* -1 (log (/ 1 x))))) |
(- 1 (+ (log (/ -1 (- y 1))) (* -1 (log (/ -1 x))))) |
(- 1 (+ (log (/ -1 (- y 1))) (* -1 (log (/ -1 x))))) |
(- 1 (+ (log (/ -1 (- y 1))) (* -1 (log (/ -1 x))))) |
(- 1 (+ (log (/ -1 (- y 1))) (* -1 (log (/ -1 x))))) |
(- 1 (log (* -1 x))) |
(- (+ 1 (* -1 y)) (log (* -1 x))) |
(- (+ 1 (* y (- (* -1/2 y) 1))) (log (* -1 x))) |
(- (+ 1 (* y (- (* y (- (* -1/3 y) 1/2)) 1))) (log (* -1 x))) |
(- 1 (+ (log x) (log (/ 1 y)))) |
(- 1 (+ (log x) (+ (log (/ 1 y)) (/ 1 y)))) |
(- (+ 1 (* -1 (/ (+ 1 (* 1/2 (/ 1 y))) y))) (+ (log x) (log (/ 1 y)))) |
(- (+ 1 (* -1 (/ (+ 1/2 (* 1/3 (/ 1 y))) (pow y 2)))) (+ (log x) (+ (log (/ 1 y)) (/ 1 y)))) |
(- 1 (+ (log (* -1 x)) (log (/ -1 y)))) |
(- 1 (+ (log (* -1 x)) (+ (log (/ -1 y)) (/ 1 y)))) |
(- (+ 1 (* -1 (/ (+ 1 (* 1/2 (/ 1 y))) y))) (+ (log (* -1 x)) (log (/ -1 y)))) |
(- (+ 1 (* -1 (/ (+ 1 (+ (/ 1/3 (pow y 2)) (* 1/2 (/ 1 y)))) y))) (+ (log (* -1 x)) (log (/ -1 y)))) |
(+ (log x) (log (/ 1 (- y 1)))) |
(+ (log x) (log (/ 1 (- y 1)))) |
(+ (log x) (log (/ 1 (- y 1)))) |
(+ (log x) (log (/ 1 (- y 1)))) |
(+ (log (/ 1 (- y 1))) (* -1 (log (/ 1 x)))) |
(+ (log (/ 1 (- y 1))) (* -1 (log (/ 1 x)))) |
(+ (log (/ 1 (- y 1))) (* -1 (log (/ 1 x)))) |
(+ (log (/ 1 (- y 1))) (* -1 (log (/ 1 x)))) |
(+ (log (/ -1 (- y 1))) (* -1 (log (/ -1 x)))) |
(+ (log (/ -1 (- y 1))) (* -1 (log (/ -1 x)))) |
(+ (log (/ -1 (- y 1))) (* -1 (log (/ -1 x)))) |
(+ (log (/ -1 (- y 1))) (* -1 (log (/ -1 x)))) |
(log (* -1 x)) |
(+ y (log (* -1 x))) |
(+ (log (* -1 x)) (* y (+ 1 (* 1/2 y)))) |
(+ (log (* -1 x)) (* y (+ 1 (* y (+ 1/2 (* 1/3 y)))))) |
(+ (log x) (log (/ 1 y))) |
(+ (log x) (+ (log (/ 1 y)) (/ 1 y))) |
(+ (log x) (+ (log (/ 1 y)) (+ (/ 1/2 (pow y 2)) (/ 1 y)))) |
(+ (log x) (+ (log (/ 1 y)) (+ (/ 1/2 (pow y 2)) (+ (/ 1 y) (* 1/3 (/ 1 (pow y 3))))))) |
(+ (log (* -1 x)) (log (/ -1 y))) |
(+ (log (* -1 x)) (+ (log (/ -1 y)) (/ 1 y))) |
(+ (log (* -1 x)) (+ (log (/ -1 y)) (+ (/ 1/2 (pow y 2)) (/ 1 y)))) |
(+ (log (* -1 x)) (+ (log (/ -1 y)) (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 y))) y)) 1) y)))) |
(/ x (- y 1)) |
(/ x (- y 1)) |
(/ x (- y 1)) |
(/ x (- y 1)) |
(/ x (- y 1)) |
(/ x (- y 1)) |
(/ x (- y 1)) |
(/ x (- y 1)) |
(/ x (- y 1)) |
(/ x (- y 1)) |
(/ x (- y 1)) |
(/ x (- y 1)) |
(* -1 x) |
(+ (* -1 x) (* -1 (* x y))) |
(+ (* -1 x) (* y (- (* -1 (* x y)) x))) |
(+ (* -1 x) (* y (- (* y (- (* -1 (* x y)) x)) x))) |
(/ x y) |
(/ (+ x (/ x y)) y) |
(/ (- (+ x (/ x (pow y 2))) (* -1 (/ x y))) y) |
(/ (- (+ x (/ x (pow y 3))) (+ (* -1 (/ x y)) (* -1 (/ x (pow y 2))))) y) |
(/ x y) |
(* -1 (/ (+ (* -1 x) (* -1 (/ x y))) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ x (/ x y)) y))) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ x (* -1 (/ (+ (* -1 x) (* -1 (/ x y))) y))) y))) y)) |
-1 |
(- y 1) |
(- y 1) |
(- y 1) |
y |
(* y (- 1 (/ 1 y))) |
(* y (- 1 (/ 1 y))) |
(* y (- 1 (/ 1 y))) |
y |
(* -1 (* y (- (/ 1 y) 1))) |
(* -1 (* y (- (/ 1 y) 1))) |
(* -1 (* y (- (/ 1 y) 1))) |
1 |
(+ 1 (* -1 y)) |
(+ 1 (* y (- (* -1/2 y) 1))) |
(+ 1 (* y (- (* y (- (* -1/3 y) 1/2)) 1))) |
(- 1 (+ (log -1) (log (/ 1 y)))) |
(- 1 (+ (log -1) (+ (log (/ 1 y)) (/ 1 y)))) |
(- (+ 1 (* -1 (/ (+ 1 (* 1/2 (/ 1 y))) y))) (+ (log -1) (log (/ 1 y)))) |
(- (+ 1 (* -1 (/ (+ 1/2 (* 1/3 (/ 1 y))) (pow y 2)))) (+ (log -1) (+ (log (/ 1 y)) (/ 1 y)))) |
(- 1 (log (/ -1 y))) |
(- 1 (+ (log (/ -1 y)) (/ 1 y))) |
(- (+ 1 (* -1 (/ (+ 1 (* 1/2 (/ 1 y))) y))) (log (/ -1 y))) |
(- (+ 1 (* -1 (/ (+ 1 (+ (/ 1/3 (pow y 2)) (* 1/2 (/ 1 y)))) y))) (log (/ -1 y))) |
y |
(* y (+ 1 (* 1/2 y))) |
(* y (+ 1 (* y (+ 1/2 (* 1/3 y))))) |
(* y (+ 1 (* y (+ 1/2 (* y (+ 1/3 (* 1/4 y))))))) |
(+ (log -1) (log (/ 1 y))) |
(+ (log -1) (+ (log (/ 1 y)) (/ 1 y))) |
(+ (log -1) (+ (log (/ 1 y)) (+ (/ 1/2 (pow y 2)) (/ 1 y)))) |
(+ (log -1) (+ (log (/ 1 y)) (+ (/ 1/2 (pow y 2)) (+ (/ 1 y) (* 1/3 (/ 1 (pow y 3))))))) |
(log (/ -1 y)) |
(+ (log (/ -1 y)) (/ 1 y)) |
(+ (log (/ -1 y)) (+ (/ 1/2 (pow y 2)) (/ 1 y))) |
(+ (log (/ -1 y)) (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 y))) y)) 1) y))) |
y |
(* y (+ 1 y)) |
(* y (+ 1 (* y (+ 1 y)))) |
(* y (+ 1 (* y (+ 1 (* y (+ 1 y)))))) |
-1 |
(* -1 (+ 1 (/ 1 y))) |
(- (* -1 (/ (+ 1 (/ 1 y)) y)) 1) |
(- (* -1 (/ (+ 1 (/ 1 y)) (pow y 2))) (+ 1 (/ 1 y))) |
-1 |
(* -1 (+ 1 (/ 1 y))) |
(- (* -1 (/ (+ 1 (/ 1 y)) y)) 1) |
(- (* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y)) 1) |
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 (+ 1 (+ (/ 1 y) (/ 1 (pow y 2))))) |
(- (* x (+ 1 (+ (/ 1 y) (/ 1 (pow y 2))))) (+ 1 (+ (/ 1 y) (/ 1 (pow y 2))))) |
(- (* x (+ 1 (+ (/ 1 y) (/ 1 (pow y 2))))) (+ 1 (+ (/ 1 y) (/ 1 (pow y 2))))) |
(- (* x (+ 1 (+ (/ 1 y) (/ 1 (pow y 2))))) (+ 1 (+ (/ 1 y) (/ 1 (pow y 2))))) |
(* x (+ 1 (+ (/ 1 y) (/ 1 (pow y 2))))) |
(* x (+ 1 (+ (* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) x)) (+ (/ 1 y) (/ 1 (pow y 2)))))) |
(* x (+ 1 (+ (* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) x)) (+ (/ 1 y) (/ 1 (pow y 2)))))) |
(* x (+ 1 (+ (* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) x)) (+ (/ 1 y) (/ 1 (pow y 2)))))) |
(* x (+ 1 (+ (/ 1 y) (/ 1 (pow y 2))))) |
(* -1 (* x (- (+ (/ 1 x) (+ (/ 1 (* x y)) (/ 1 (* x (pow y 2))))) (+ 1 (+ (/ 1 y) (/ 1 (pow y 2))))))) |
(* -1 (* x (- (+ (/ 1 x) (+ (/ 1 (* x y)) (/ 1 (* x (pow y 2))))) (+ 1 (+ (/ 1 y) (/ 1 (pow y 2))))))) |
(* -1 (* x (- (+ (/ 1 x) (+ (/ 1 (* x y)) (/ 1 (* x (pow y 2))))) (+ 1 (+ (/ 1 y) (/ 1 (pow y 2))))))) |
(/ (- x 1) (pow y 2)) |
(/ (- (+ x (* y (- x 1))) 1) (pow y 2)) |
(/ (- (+ x (* y (- (+ x (* y (- x 1))) 1))) 1) (pow y 2)) |
(/ (- (+ x (* y (- (+ x (* y (- x 1))) 1))) 1) (pow y 2)) |
(- x 1) |
(- (+ x (/ x y)) (+ 1 (/ 1 y))) |
(- (+ x (+ (/ x y) (/ x (pow y 2)))) (+ 1 (+ (/ 1 y) (/ 1 (pow y 2))))) |
(- (+ x (+ (/ x y) (/ x (pow y 2)))) (+ 1 (+ (/ 1 y) (/ 1 (pow y 2))))) |
(- x 1) |
(- (+ x (/ x y)) (+ 1 (/ 1 y))) |
(- (+ x (* -1 (/ (+ (* -1 (- x 1)) (* -1 (/ (- x 1) y))) y))) 1) |
(- (+ x (* -1 (/ (+ (* -1 (- x 1)) (* -1 (/ (- x 1) y))) y))) 1) |
(- 1 (log (* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y)))) |
(- (+ 1 (/ (* x (* y (+ (/ 1 y) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3)))))) (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))))) (log (* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y)))) |
(- (+ 1 (* x (- (* 1/2 (/ (* x (* (pow y 2) (pow (+ (/ 1 y) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3)))) 2))) (pow (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) 2))) (* -1 (/ (* y (+ (/ 1 y) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3))))) (+ 1 (+ (/ 1 y) (/ 1 (pow y 2))))))))) (log (* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y)))) |
(- (+ 1 (* x (- (* x (- (* 1/3 (/ (* x (* (pow y 3) (pow (+ (/ 1 y) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3)))) 3))) (pow (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) 3))) (* -1/2 (/ (* (pow y 2) (pow (+ (/ 1 y) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3)))) 2)) (pow (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) 2))))) (* -1 (/ (* y (+ (/ 1 y) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3))))) (+ 1 (+ (/ 1 y) (/ 1 (pow y 2))))))))) (log (* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y)))) |
(- 1 (+ (log (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y)) (* -1 (log (/ 1 x))))) |
(- (+ 1 (/ 1 x)) (+ (log (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y)) (* -1 (log (/ 1 x))))) |
(- (+ 1 (+ (/ 1/2 (pow x 2)) (/ 1 x))) (+ (log (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y)) (* -1 (log (/ 1 x))))) |
(- (+ 1 (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3)))))) (+ (log (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y)) (* -1 (log (/ 1 x))))) |
(- 1 (+ (log (* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y))) (* -1 (log (/ -1 x))))) |
(- (+ 1 (/ 1 x)) (+ (log (* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y))) (* -1 (log (/ -1 x))))) |
(- (+ 1 (+ (/ 1/2 (pow x 2)) (/ 1 x))) (+ (log (* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y))) (* -1 (log (/ -1 x))))) |
(- (+ 1 (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x))) (+ (log (* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y))) (* -1 (log (/ -1 x))))) |
(- 1 (+ (log (- x 1)) (* -3 (log y)))) |
(- (+ 1 (* -1 y)) (+ (log (- x 1)) (* -3 (log y)))) |
(- (+ 1 (* y (- (* -1/2 y) 1))) (+ (log (- x 1)) (* -3 (log y)))) |
(- (+ 1 (* y (- (* y (- (* 2/3 y) 1/2)) 1))) (+ (log (- x 1)) (* -3 (log y)))) |
(- 1 (+ (log (- x 1)) (log (/ 1 y)))) |
(- 1 (+ (log (- x 1)) (+ (log (/ 1 y)) (/ 1 y)))) |
(- (+ 1 (* -1 (/ (+ 1 (* 1/2 (/ 1 y))) y))) (+ (log (- x 1)) (log (/ 1 y)))) |
(- (+ 1 (* 2/3 (/ 1 (pow y 3)))) (+ (log (- x 1)) (+ (log (/ 1 y)) (+ (/ 1/2 (pow y 2)) (/ 1 y))))) |
(- 1 (+ (log (* -1 (- x 1))) (log (/ -1 y)))) |
(- 1 (+ (log (* -1 (- x 1))) (+ (log (/ -1 y)) (/ 1 y)))) |
(- (+ 1 (* -1 (/ (+ 1 (* 1/2 (/ 1 y))) y))) (+ (log (* -1 (- x 1))) (log (/ -1 y)))) |
(- (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- (* 2/3 (/ 1 y)) 1/2) y))) y))) (+ (log (* -1 (- x 1))) (log (/ -1 y)))) |
(log (* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y))) |
(+ (log (* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y))) (* -1 (/ (* x (* y (+ (/ 1 y) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3)))))) (+ 1 (+ (/ 1 y) (/ 1 (pow y 2))))))) |
(+ (log (* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y))) (* x (+ (* -1 (/ (* y (+ (/ 1 y) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3))))) (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))))) (* -1/2 (/ (* x (* (pow y 2) (pow (+ (/ 1 y) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3)))) 2))) (pow (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) 2)))))) |
(+ (log (* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y))) (* x (+ (* -1 (/ (* y (+ (/ 1 y) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3))))) (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))))) (* x (+ (* -1/2 (/ (* (pow y 2) (pow (+ (/ 1 y) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3)))) 2)) (pow (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) 2))) (* -1/3 (/ (* x (* (pow y 3) (pow (+ (/ 1 y) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3)))) 3))) (pow (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) 3)))))))) |
(+ (log (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y)) (* -1 (log (/ 1 x)))) |
(- (+ (log (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y)) (* -1 (log (/ 1 x)))) (/ 1 x)) |
(+ (log (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y)) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x)))) |
(- (+ (log (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y)) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) (pow x 2))))) (/ 1 x)) |
(+ (log (* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y))) (* -1 (log (/ -1 x)))) |
(- (+ (log (* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y))) (* -1 (log (/ -1 x)))) (/ 1 x)) |
(+ (log (* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y))) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x)))) |
(+ (log (* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y))) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) x)))) |
(+ (log (- x 1)) (* -3 (log y))) |
(+ y (+ (log (- x 1)) (* -3 (log y)))) |
(+ (log (- x 1)) (+ (* -3 (log y)) (* y (+ 1 (* 1/2 y))))) |
(+ (log (- x 1)) (+ (* -3 (log y)) (* y (+ 1 (* y (+ 1/2 (* -2/3 y))))))) |
(+ (log (- x 1)) (log (/ 1 y))) |
(+ (log (- x 1)) (+ (log (/ 1 y)) (/ 1 y))) |
(+ (log (- x 1)) (+ (log (/ 1 y)) (+ (/ 1/2 (pow y 2)) (/ 1 y)))) |
(- (+ (log (- x 1)) (+ (log (/ 1 y)) (+ (/ 1/2 (pow y 2)) (/ 1 y)))) (* 2/3 (/ 1 (pow y 3)))) |
(+ (log (* -1 (- x 1))) (log (/ -1 y))) |
(+ (log (* -1 (- x 1))) (+ (log (/ -1 y)) (/ 1 y))) |
(+ (log (* -1 (- x 1))) (+ (log (/ -1 y)) (+ (/ 1/2 (pow y 2)) (/ 1 y)))) |
(+ (log (* -1 (- x 1))) (+ (log (/ -1 y)) (* -1 (/ (- (* -1 (/ (- 1/2 (* 2/3 (/ 1 y))) y)) 1) y)))) |
(* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y)) |
(+ (* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y)) (* x (+ (/ 1 y) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3)))))) |
(+ (* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y)) (* x (+ (/ 1 y) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3)))))) |
(+ (* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y)) (* x (+ (/ 1 y) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3)))))) |
(/ (* x (+ 1 (+ (/ 1 y) (/ 1 (pow y 2))))) y) |
(* x (+ (* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) (* x y))) (+ (/ 1 y) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3)))))) |
(* x (+ (* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) (* x y))) (+ (/ 1 y) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3)))))) |
(* x (+ (* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) (* x y))) (+ (/ 1 y) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3)))))) |
(/ (* x (+ 1 (+ (/ 1 y) (/ 1 (pow y 2))))) y) |
(* -1 (* x (+ (* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y)) (+ (/ 1 (* x y)) (+ (/ 1 (* x (pow y 2))) (/ 1 (* x (pow y 3)))))))) |
(* -1 (* x (+ (* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y)) (+ (/ 1 (* x y)) (+ (/ 1 (* x (pow y 2))) (/ 1 (* x (pow y 3)))))))) |
(* -1 (* x (+ (* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y)) (+ (/ 1 (* x y)) (+ (/ 1 (* x (pow y 2))) (/ 1 (* x (pow y 3)))))))) |
(/ (- x 1) (pow y 3)) |
(/ (- (+ x (* y (- x 1))) 1) (pow y 3)) |
(/ (- (+ x (* y (- (+ x (* y (- x 1))) 1))) 1) (pow y 3)) |
(/ (- (+ x (* y (- (+ x (* y (- x 1))) 1))) 1) (pow y 3)) |
(/ (- x 1) y) |
(/ (- (+ x (/ x y)) (+ 1 (/ 1 y))) y) |
(/ (- (+ x (+ (/ x y) (/ x (pow y 2)))) (+ 1 (+ (/ 1 y) (/ 1 (pow y 2))))) y) |
(/ (- (+ x (+ (/ x y) (/ x (pow y 2)))) (+ 1 (+ (/ 1 y) (/ 1 (pow y 2))))) y) |
(/ (- x 1) y) |
(* -1 (/ (+ (* -1 (- x 1)) (* -1 (/ (- x 1) y))) y)) |
(* -1 (/ (+ (* -1 (- x 1)) (* -1 (/ (- (+ x (/ x y)) (+ 1 (/ 1 y))) y))) y)) |
(* -1 (/ (+ (* -1 (- x 1)) (* -1 (/ (- (+ x (/ x y)) (+ 1 (/ 1 y))) y))) 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 (+ 1 (/ 1 y))) |
(- (* x (+ 1 (/ 1 y))) (+ 1 (/ 1 y))) |
(- (* x (+ 1 (/ 1 y))) (+ 1 (/ 1 y))) |
(- (* x (+ 1 (/ 1 y))) (+ 1 (/ 1 y))) |
(* x (+ 1 (/ 1 y))) |
(* x (+ 1 (+ (* -1 (/ (+ 1 (/ 1 y)) x)) (/ 1 y)))) |
(* x (+ 1 (+ (* -1 (/ (+ 1 (/ 1 y)) x)) (/ 1 y)))) |
(* x (+ 1 (+ (* -1 (/ (+ 1 (/ 1 y)) x)) (/ 1 y)))) |
(* x (+ 1 (/ 1 y))) |
(* -1 (* x (- (+ (/ 1 x) (/ 1 (* x y))) (+ 1 (/ 1 y))))) |
(* -1 (* x (- (+ (/ 1 x) (/ 1 (* x y))) (+ 1 (/ 1 y))))) |
(* -1 (* x (- (+ (/ 1 x) (/ 1 (* x y))) (+ 1 (/ 1 y))))) |
(/ (- x 1) y) |
(/ (- (+ x (* y (- x 1))) 1) y) |
(/ (- (+ x (* y (- x 1))) 1) y) |
(/ (- (+ x (* y (- x 1))) 1) y) |
(- x 1) |
(- (+ x (/ x y)) (+ 1 (/ 1 y))) |
(- (+ x (/ x y)) (+ 1 (/ 1 y))) |
(- (+ x (/ x y)) (+ 1 (/ 1 y))) |
(- x 1) |
(- (+ x (/ x y)) (+ 1 (/ 1 y))) |
(- (+ x (/ x y)) (+ 1 (/ 1 y))) |
(- (+ x (/ x y)) (+ 1 (/ 1 y))) |
(/ -1 y) |
(- (* x (+ 1 (/ 1 y))) (/ 1 y)) |
(- (* x (+ 1 (/ 1 y))) (/ 1 y)) |
(- (* x (+ 1 (/ 1 y))) (/ 1 y)) |
(* x (+ 1 (/ 1 y))) |
(* x (- (+ 1 (/ 1 y)) (/ 1 (* x y)))) |
(* x (- (+ 1 (/ 1 y)) (/ 1 (* x y)))) |
(* x (- (+ 1 (/ 1 y)) (/ 1 (* x y)))) |
(* x (+ 1 (/ 1 y))) |
(* -1 (* x (- (/ 1 (* x y)) (+ 1 (/ 1 y))))) |
(* -1 (* x (- (/ 1 (* x y)) (+ 1 (/ 1 y))))) |
(* -1 (* x (- (/ 1 (* x y)) (+ 1 (/ 1 y))))) |
(/ (- x 1) y) |
(/ (- (+ x (* x y)) 1) y) |
(/ (- (+ x (* x y)) 1) y) |
(/ (- (+ x (* x y)) 1) y) |
x |
(- (+ x (/ x y)) (/ 1 y)) |
(- (+ x (/ x y)) (/ 1 y)) |
(- (+ x (/ x y)) (/ 1 y)) |
x |
(- (+ x (/ x y)) (/ 1 y)) |
(- (+ x (/ x y)) (/ 1 y)) |
(- (+ x (/ x y)) (/ 1 y)) |
| Outputs |
|---|
1 |
#s(literal 1 binary64) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/3 x)))))) |
(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 -1) (* -1 (log (/ 1 x))))) |
(-.f64 #s(literal 1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x))) |
(- (+ 1 (/ 1 x)) (+ (log -1) (* -1 (log (/ 1 x))))) |
(+.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)))) |
(- (+ 1 (+ (/ 1/2 (pow x 2)) (/ 1 x))) (+ (log -1) (* -1 (log (/ 1 x))))) |
(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x))) |
(- (+ 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 #s(literal 1 binary64) x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x))) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x))))) |
(- 1 (* -1 (log (/ -1 x)))) |
(-.f64 #s(literal 1 binary64) (log.f64 (neg.f64 x))) |
(- (+ 1 (/ 1 x)) (* -1 (log (/ -1 x)))) |
(+.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (log.f64 (neg.f64 x)))) |
(- (+ 1 (+ (/ 1/2 (pow x 2)) (/ 1 x))) (* -1 (log (/ -1 x)))) |
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) (log.f64 (neg.f64 x)))) |
(- (+ 1 (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x))) (* -1 (log (/ -1 x)))) |
(-.f64 (-.f64 #s(literal 1 binary64) (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)) |
(* -1 x) |
(neg.f64 x) |
(* x (- (* -1/2 x) 1)) |
(*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64))) |
(* x (- (* x (- (* -1/3 x) 1/2)) 1)) |
(*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))) |
(* x (- (* x (- (* x (- (* -1/4 x) 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))) |
(+ (log -1) (* -1 (log (/ 1 x)))) |
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) |
(- (+ (log -1) (* -1 (log (/ 1 x)))) (/ 1 x)) |
(+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (log.f64 x) (/.f64 #s(literal -1 binary64) x))) |
(+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x)))) |
(+.f64 (log.f64 #s(literal -1 binary64)) (-.f64 (log.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x))) |
(- (+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) (pow x 2))))) (/ 1 x)) |
(+.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x)) |
(* -1 (log (/ -1 x))) |
(neg.f64 (neg.f64 (log.f64 (neg.f64 x)))) |
(- (* -1 (log (/ -1 x))) (/ 1 x)) |
(-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (log.f64 (neg.f64 x)))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x))) |
(-.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 x)))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) x))) |
(-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))) (neg.f64 x)) (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 x) (log (/ 1 (- y 1))))) |
(+.f64 (-.f64 #s(literal 1 binary64) (log.f64 x)) (log.f64 (+.f64 #s(literal -1 binary64) y))) |
(- 1 (+ (log x) (log (/ 1 (- y 1))))) |
(+.f64 (-.f64 #s(literal 1 binary64) (log.f64 x)) (log.f64 (+.f64 #s(literal -1 binary64) y))) |
(- 1 (+ (log x) (log (/ 1 (- y 1))))) |
(+.f64 (-.f64 #s(literal 1 binary64) (log.f64 x)) (log.f64 (+.f64 #s(literal -1 binary64) y))) |
(- 1 (+ (log x) (log (/ 1 (- y 1))))) |
(+.f64 (-.f64 #s(literal 1 binary64) (log.f64 x)) (log.f64 (+.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 #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 #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 #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 #s(literal -1 binary64) y))) |
(- 1 (+ (log (/ -1 (- y 1))) (* -1 (log (/ -1 x))))) |
(-.f64 (-.f64 #s(literal 1 binary64) (log.f64 (neg.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) y)))) |
(- 1 (+ (log (/ -1 (- y 1))) (* -1 (log (/ -1 x))))) |
(-.f64 (-.f64 #s(literal 1 binary64) (log.f64 (neg.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) y)))) |
(- 1 (+ (log (/ -1 (- y 1))) (* -1 (log (/ -1 x))))) |
(-.f64 (-.f64 #s(literal 1 binary64) (log.f64 (neg.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) y)))) |
(- 1 (+ (log (/ -1 (- y 1))) (* -1 (log (/ -1 x))))) |
(-.f64 (-.f64 #s(literal 1 binary64) (log.f64 (neg.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) y)))) |
(- 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 #s(literal -1/2 binary64) y #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))) |
(-.f64 (fma.f64 y (fma.f64 y (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) #s(literal -1 binary64)) #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 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 (log.f64 y) (log.f64 x)))) |
(- (+ 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)))) |
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(+ (log (- x 1)) (log (/ 1 y))) |
(-.f64 (log.f64 (+.f64 x #s(literal -1 binary64))) (log.f64 y)) |
(+ (log (- x 1)) (+ (log (/ 1 y)) (/ 1 y))) |
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (log.f64 y)) (log.f64 (+.f64 x #s(literal -1 binary64)))) |
(+ (log (- x 1)) (+ (log (/ 1 y)) (+ (/ 1/2 (pow y 2)) (/ 1 y)))) |
(+.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (log.f64 y)) (+.f64 (/.f64 #s(literal 1 binary64) y) (log.f64 (+.f64 x #s(literal -1 binary64))))) |
(- (+ (log (- x 1)) (+ (log (/ 1 y)) (+ (/ 1/2 (pow y 2)) (/ 1 y)))) (* 2/3 (/ 1 (pow y 3)))) |
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (log.f64 y))) (+.f64 (log.f64 (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal -2/3 binary64) (*.f64 y (*.f64 y y))))) |
(+ (log (* -1 (- x 1))) (log (/ -1 y))) |
(+.f64 (neg.f64 (log.f64 (neg.f64 y))) (log1p.f64 (neg.f64 x))) |
(+ (log (* -1 (- x 1))) (+ (log (/ -1 y)) (/ 1 y))) |
(+.f64 (neg.f64 (log.f64 (neg.f64 y))) (+.f64 (log1p.f64 (neg.f64 x)) (/.f64 #s(literal 1 binary64) y))) |
(+ (log (* -1 (- x 1))) (+ (log (/ -1 y)) (+ (/ 1/2 (pow y 2)) (/ 1 y)))) |
(+.f64 (neg.f64 (log.f64 (neg.f64 y))) (+.f64 (log1p.f64 (neg.f64 x)) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))))) |
(+ (log (* -1 (- x 1))) (+ (log (/ -1 y)) (* -1 (/ (- (* -1 (/ (- 1/2 (* 2/3 (/ 1 y))) y)) 1) y)))) |
(-.f64 (+.f64 (neg.f64 (log.f64 (neg.f64 y))) (log1p.f64 (neg.f64 x))) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) y)) y)) y)) |
(* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y)) |
(/.f64 (+.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) (*.f64 y y)))) y) |
(+ (* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y)) (* x (+ (/ 1 y) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3)))))) |
(fma.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 y y)))) (/.f64 (+.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) (*.f64 y y)))) y)) |
(+ (* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y)) (* x (+ (/ 1 y) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3)))))) |
(fma.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 y y)))) (/.f64 (+.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) (*.f64 y y)))) y)) |
(+ (* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y)) (* x (+ (/ 1 y) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3)))))) |
(fma.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 y y)))) (/.f64 (+.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) (*.f64 y y)))) y)) |
(/ (* x (+ 1 (+ (/ 1 y) (/ 1 (pow y 2))))) y) |
(/.f64 (+.f64 x (fma.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 x y))) y) |
(* x (+ (* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) (* x y))) (+ (/ 1 y) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3)))))) |
(*.f64 x (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 y y)))) (/.f64 (+.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) (*.f64 y y)))) (*.f64 x y)))) |
(* x (+ (* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) (* x y))) (+ (/ 1 y) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3)))))) |
(*.f64 x (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 y y)))) (/.f64 (+.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) (*.f64 y y)))) (*.f64 x y)))) |
(* x (+ (* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) (* x y))) (+ (/ 1 y) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3)))))) |
(*.f64 x (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 y y)))) (/.f64 (+.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) (*.f64 y y)))) (*.f64 x y)))) |
(/ (* x (+ 1 (+ (/ 1 y) (/ 1 (pow y 2))))) y) |
(/.f64 (+.f64 x (fma.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 x y))) y) |
(* -1 (* x (+ (* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y)) (+ (/ 1 (* x y)) (+ (/ 1 (* x (pow y 2))) (/ 1 (* x (pow y 3)))))))) |
(*.f64 (neg.f64 x) (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) (*.f64 y y)))) y) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (*.f64 y y))))))) |
(* -1 (* x (+ (* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y)) (+ (/ 1 (* x y)) (+ (/ 1 (* x (pow y 2))) (/ 1 (* x (pow y 3)))))))) |
(*.f64 (neg.f64 x) (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) (*.f64 y y)))) y) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (*.f64 y y))))))) |
(* -1 (* x (+ (* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y)) (+ (/ 1 (* x y)) (+ (/ 1 (* x (pow y 2))) (/ 1 (* x (pow y 3)))))))) |
(*.f64 (neg.f64 x) (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) (*.f64 y y)))) y) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (*.f64 y y))))))) |
(/ (- x 1) (pow y 3)) |
(/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 y (*.f64 y y))) |
(/ (- (+ x (* y (- x 1))) 1) (pow y 3)) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64))) (*.f64 y (*.f64 y y))) |
(/ (- (+ x (* y (- (+ x (* y (- x 1))) 1))) 1) (pow y 3)) |
(/.f64 (fma.f64 y (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64))) (*.f64 y (*.f64 y y))) |
(/ (- (+ x (* y (- (+ x (* y (- x 1))) 1))) 1) (pow y 3)) |
(/.f64 (fma.f64 y (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64))) (*.f64 y (*.f64 y y))) |
(/ (- x 1) y) |
(/.f64 (+.f64 x #s(literal -1 binary64)) y) |
(/ (- (+ x (/ x y)) (+ 1 (/ 1 y))) y) |
(/.f64 (+.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 x #s(literal -1 binary64)) y)) y) |
(/ (- (+ x (+ (/ x y) (/ x (pow y 2)))) (+ 1 (+ (/ 1 y) (/ 1 (pow y 2))))) y) |
(/.f64 (+.f64 (+.f64 (/.f64 (+.f64 x (/.f64 x y)) y) (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) (*.f64 y y)))) y) |
(/ (- (+ x (+ (/ x y) (/ x (pow y 2)))) (+ 1 (+ (/ 1 y) (/ 1 (pow y 2))))) y) |
(/.f64 (+.f64 (+.f64 (/.f64 (+.f64 x (/.f64 x y)) y) (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) (*.f64 y y)))) y) |
(/ (- x 1) y) |
(/.f64 (+.f64 x #s(literal -1 binary64)) y) |
(* -1 (/ (+ (* -1 (- x 1)) (* -1 (/ (- x 1) y))) y)) |
(/.f64 (+.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 x #s(literal -1 binary64)) y)) y) |
(* -1 (/ (+ (* -1 (- x 1)) (* -1 (/ (- (+ x (/ x y)) (+ 1 (/ 1 y))) y))) y)) |
(/.f64 (+.f64 #s(literal -1 binary64) (-.f64 x (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) y))) y) |
(* -1 (/ (+ (* -1 (- x 1)) (* -1 (/ (- (+ x (/ x y)) (+ 1 (/ 1 y))) y))) y)) |
(/.f64 (+.f64 #s(literal -1 binary64) (-.f64 x (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) y))) 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 #s(literal -1 binary64)) |
(* x (- 1 (/ 1 x))) |
(+.f64 x #s(literal -1 binary64)) |
(* x (- 1 (/ 1 x))) |
(+.f64 x #s(literal -1 binary64)) |
x |
(* -1 (* x (- (/ 1 x) 1))) |
(+.f64 x #s(literal -1 binary64)) |
(* -1 (* x (- (/ 1 x) 1))) |
(+.f64 x #s(literal -1 binary64)) |
(* -1 (* x (- (/ 1 x) 1))) |
(+.f64 x #s(literal -1 binary64)) |
(* -1 (+ 1 (/ 1 y))) |
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)) |
(- (* x (+ 1 (/ 1 y))) (+ 1 (/ 1 y))) |
(+.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 x #s(literal -1 binary64)) y)) |
(- (* x (+ 1 (/ 1 y))) (+ 1 (/ 1 y))) |
(+.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 x #s(literal -1 binary64)) y)) |
(- (* x (+ 1 (/ 1 y))) (+ 1 (/ 1 y))) |
(+.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 x #s(literal -1 binary64)) y)) |
(* x (+ 1 (/ 1 y))) |
(+.f64 x (/.f64 x y)) |
(* x (+ 1 (+ (* -1 (/ (+ 1 (/ 1 y)) x)) (/ 1 y)))) |
(fma.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)) x)) (/.f64 x y)) |
(* x (+ 1 (+ (* -1 (/ (+ 1 (/ 1 y)) x)) (/ 1 y)))) |
(fma.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)) x)) (/.f64 x y)) |
(* x (+ 1 (+ (* -1 (/ (+ 1 (/ 1 y)) x)) (/ 1 y)))) |
(fma.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)) x)) (/.f64 x y)) |
(* x (+ 1 (/ 1 y))) |
(+.f64 x (/.f64 x y)) |
(* -1 (* x (- (+ (/ 1 x) (/ 1 (* x y))) (+ 1 (/ 1 y))))) |
(+.f64 #s(literal -1 binary64) (fma.f64 x (/.f64 #s(literal -1 binary64) (*.f64 x y)) (+.f64 x (/.f64 x y)))) |
(* -1 (* x (- (+ (/ 1 x) (/ 1 (* x y))) (+ 1 (/ 1 y))))) |
(+.f64 #s(literal -1 binary64) (fma.f64 x (/.f64 #s(literal -1 binary64) (*.f64 x y)) (+.f64 x (/.f64 x y)))) |
(* -1 (* x (- (+ (/ 1 x) (/ 1 (* x y))) (+ 1 (/ 1 y))))) |
(+.f64 #s(literal -1 binary64) (fma.f64 x (/.f64 #s(literal -1 binary64) (*.f64 x y)) (+.f64 x (/.f64 x y)))) |
(/ (- x 1) y) |
(/.f64 (+.f64 x #s(literal -1 binary64)) y) |
(/ (- (+ x (* y (- x 1))) 1) y) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64))) y) |
(/ (- (+ x (* y (- x 1))) 1) y) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64))) y) |
(/ (- (+ x (* y (- x 1))) 1) y) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64))) y) |
(- x 1) |
(+.f64 x #s(literal -1 binary64)) |
(- (+ x (/ x y)) (+ 1 (/ 1 y))) |
(+.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 x #s(literal -1 binary64)) y)) |
(- (+ x (/ x y)) (+ 1 (/ 1 y))) |
(+.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 x #s(literal -1 binary64)) y)) |
(- (+ x (/ x y)) (+ 1 (/ 1 y))) |
(+.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 x #s(literal -1 binary64)) y)) |
(- x 1) |
(+.f64 x #s(literal -1 binary64)) |
(- (+ x (/ x y)) (+ 1 (/ 1 y))) |
(+.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 x #s(literal -1 binary64)) y)) |
(- (+ x (/ x y)) (+ 1 (/ 1 y))) |
(+.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 x #s(literal -1 binary64)) y)) |
(- (+ x (/ x y)) (+ 1 (/ 1 y))) |
(+.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 x #s(literal -1 binary64)) y)) |
(/ -1 y) |
(/.f64 #s(literal -1 binary64) y) |
(- (* x (+ 1 (/ 1 y))) (/ 1 y)) |
(+.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) y)) |
(- (* x (+ 1 (/ 1 y))) (/ 1 y)) |
(+.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) y)) |
(- (* x (+ 1 (/ 1 y))) (/ 1 y)) |
(+.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) y)) |
(* x (+ 1 (/ 1 y))) |
(+.f64 x (/.f64 x y)) |
(* x (- (+ 1 (/ 1 y)) (/ 1 (* x y)))) |
(fma.f64 x (/.f64 #s(literal -1 binary64) (*.f64 x y)) (+.f64 x (/.f64 x y))) |
(* x (- (+ 1 (/ 1 y)) (/ 1 (* x y)))) |
(fma.f64 x (/.f64 #s(literal -1 binary64) (*.f64 x y)) (+.f64 x (/.f64 x y))) |
(* x (- (+ 1 (/ 1 y)) (/ 1 (* x y)))) |
(fma.f64 x (/.f64 #s(literal -1 binary64) (*.f64 x y)) (+.f64 x (/.f64 x y))) |
(* x (+ 1 (/ 1 y))) |
(+.f64 x (/.f64 x y)) |
(* -1 (* x (- (/ 1 (* x y)) (+ 1 (/ 1 y))))) |
(fma.f64 x (/.f64 #s(literal -1 binary64) (*.f64 x y)) (+.f64 x (/.f64 x y))) |
(* -1 (* x (- (/ 1 (* x y)) (+ 1 (/ 1 y))))) |
(fma.f64 x (/.f64 #s(literal -1 binary64) (*.f64 x y)) (+.f64 x (/.f64 x y))) |
(* -1 (* x (- (/ 1 (* x y)) (+ 1 (/ 1 y))))) |
(fma.f64 x (/.f64 #s(literal -1 binary64) (*.f64 x y)) (+.f64 x (/.f64 x y))) |
(/ (- x 1) y) |
(/.f64 (+.f64 x #s(literal -1 binary64)) y) |
(/ (- (+ x (* x y)) 1) y) |
(/.f64 (+.f64 #s(literal -1 binary64) (fma.f64 x y x)) y) |
(/ (- (+ x (* x y)) 1) y) |
(/.f64 (+.f64 #s(literal -1 binary64) (fma.f64 x y x)) y) |
(/ (- (+ x (* x y)) 1) y) |
(/.f64 (+.f64 #s(literal -1 binary64) (fma.f64 x y x)) y) |
x |
(- (+ x (/ x y)) (/ 1 y)) |
(+.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) y)) |
(- (+ x (/ x y)) (/ 1 y)) |
(+.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) y)) |
(- (+ x (/ x y)) (/ 1 y)) |
(+.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) y)) |
x |
(- (+ x (/ x y)) (/ 1 y)) |
(+.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) y)) |
(- (+ x (/ x y)) (/ 1 y)) |
(+.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) y)) |
(- (+ x (/ x y)) (/ 1 y)) |
(+.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) y)) |
Compiled 25 358 to 3 631 computations (85.7% saved)
22 alts after pruning (19 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 973 | 18 | 991 |
| Fresh | 3 | 1 | 4 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 978 | 22 | 1 000 |
| Status | Accuracy | Program |
|---|---|---|
| 45.9% | (fma.f64 y (fma.f64 y (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) | |
| ▶ | 45.4% | (fma.f64 y (fma.f64 #s(literal -1/2 binary64) y #s(literal -1 binary64)) #s(literal 1 binary64)) |
| 48.2% | (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)) | |
| 47.6% | (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) | |
| ▶ | 65.3% | (-.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 x))) |
| 45.3% | (-.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (fma.f64 y (fma.f64 y #s(literal 1/4 binary64) #s(literal 1/3 binary64)) #s(literal 1/2 binary64)) y)) | |
| 19.9% | (-.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 (log.f64 (neg.f64 y))))) | |
| ▶ | 47.6% | (-.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)))) |
| 48.2% | (-.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) | |
| 57.1% | (-.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))) | |
| ▶ | 20.7% | (-.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (neg.f64 y)))) |
| 46.3% | (-.f64 #s(literal 1 binary64) (log1p.f64 (fma.f64 y y y))) | |
| ✓ | 46.5% | (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)))) |
| ✓ | 67.1% | (-.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x))) |
| 45.4% | (-.f64 #s(literal 1 binary64) (log1p.f64 y)) | |
| ✓ | 40.7% | (-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))))) |
| 21.9% | (-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x y))) | |
| 24.3% | (-.f64 #s(literal 1 binary64) (log.f64 (neg.f64 x))) | |
| 46.3% | (-.f64 #s(literal 1 binary64) y) | |
| 19.1% | (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) y)) y) (-.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (neg.f64 y))))) | |
| 48.6% | (+.f64 #s(literal 1 binary64) x) | |
| ▶ | 48.5% | #s(literal 1 binary64) |
Compiled 407 to 307 computations (24.6% saved)
| 1× | egg-herbie |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (neg.f64 y) |
| ✓ | cost-diff | 0 | (log.f64 (neg.f64 y)) |
| ✓ | cost-diff | 0 | (neg.f64 (log.f64 (neg.f64 y))) |
| ✓ | cost-diff | 128 | (-.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (neg.f64 y)))) |
| ✓ | 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 | (fma.f64 #s(literal -1/2 binary64) y #s(literal -1 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 y (fma.f64 #s(literal -1/2 binary64) y #s(literal -1 binary64)) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (neg.f64 x) |
| ✓ | cost-diff | 0 | (log1p.f64 (neg.f64 x)) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 1 binary64) y) |
| ✓ | cost-diff | 0 | (-.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 x))) |
| 10 440× | accelerator-lowering-fma.f32 |
| 10 440× | accelerator-lowering-fma.f64 |
| 1 912× | *-lowering-*.f32 |
| 1 912× | *-lowering-*.f64 |
| 1 656× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 121 |
| 1 | 82 | 120 |
| 2 | 227 | 120 |
| 3 | 532 | 120 |
| 4 | 1844 | 120 |
| 5 | 4230 | 120 |
| 6 | 5133 | 120 |
| 7 | 5572 | 120 |
| 8 | 5702 | 120 |
| 9 | 5737 | 120 |
| 10 | 5743 | 120 |
| 11 | 5867 | 120 |
| 12 | 5945 | 120 |
| 13 | 5945 | 120 |
| 14 | 5945 | 120 |
| 15 | 6609 | 120 |
| 16 | 6746 | 120 |
| 17 | 6746 | 120 |
| 18 | 6746 | 120 |
| 0 | 6746 | 102 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(- (- 1 y) (log (+ 1 (neg x)))) |
(- 1 y) |
1 |
y |
(log (+ 1 (neg x))) |
(neg x) |
x |
1 |
(+ (* y (+ (* -1/2 y) -1)) 1) |
y |
(+ (* -1/2 y) -1) |
-1/2 |
-1 |
1 |
(- 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 (neg (log (neg y)))) |
1 |
(neg (log (neg y))) |
(log (neg y)) |
(neg y) |
y |
| Outputs |
|---|
(- (- 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 |
#s(literal 1 binary64) |
(+ (* y (+ (* -1/2 y) -1)) 1) |
(fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) |
y |
(+ (* -1/2 y) -1) |
(fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) |
-1/2 |
#s(literal -1/2 binary64) |
-1 |
#s(literal -1 binary64) |
1 |
#s(literal 1 binary64) |
(- 1 (* 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 (neg (log (neg y)))) |
(+.f64 #s(literal 1 binary64) (log.f64 (neg.f64 y))) |
1 |
#s(literal 1 binary64) |
(neg (log (neg y))) |
(neg.f64 (log.f64 (neg.f64 y))) |
(log (neg y)) |
(log.f64 (neg.f64 y)) |
(neg y) |
(neg.f64 y) |
y |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (neg.f64 (log.f64 (neg.f64 y))) |
| ✓ | accuracy | 100.0% | (neg.f64 y) |
| ✓ | accuracy | 100.0% | (log.f64 (neg.f64 y)) |
| ✓ | accuracy | 100.0% | (-.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (neg.f64 y)))) |
| ✓ | 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% | (*.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% | (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% | (fma.f64 y (fma.f64 #s(literal -1/2 binary64) y #s(literal -1 binary64)) #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (fma.f64 #s(literal -1/2 binary64) y #s(literal -1 binary64)) |
| ✓ | 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)) |
| 29.0ms | 154× | 0 | valid |
| 26.0ms | 102× | 0 | invalid |
Compiled 106 to 29 computations (72.6% saved)
ival-add: 13.0ms (32.4% of total)ival-mult: 9.0ms (22.4% of total)ival-sub: 5.0ms (12.5% of total)const: 4.0ms (10% of total)ival-log: 3.0ms (7.5% of total)ival-neg: 3.0ms (7.5% of total)ival-log1p: 2.0ms (5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt (- (- 1 y) (log (+ 1 (neg x))))> |
#<alt (- 1 y)> |
#<alt (log (+ 1 (neg x)))> |
#<alt (neg x)> |
#<alt (+ (* y (+ (* -1/2 y) -1)) 1)> |
#<alt (+ (* -1/2 y) -1)> |
#<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 (neg (log (neg y))))> |
#<alt (neg (log (neg y)))> |
#<alt (log (neg y))> |
#<alt (neg y)> |
#<alt (+ (* x -1/4) -1/3)> |
| Outputs |
|---|
#<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 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> |
#<alt (+ 1 (* -1 y))> |
#<alt (+ 1 (* y (- (* -1/2 y) 1)))> |
#<alt (+ 1 (* y (- (* -1/2 y) 1)))> |
#<alt (* -1/2 (pow y 2))> |
#<alt (* -1 (* (pow y 2) (+ 1/2 (/ 1 y))))> |
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) (+ 1/2 (/ 1 y))))> |
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) (+ 1/2 (/ 1 y))))> |
#<alt (* -1/2 (pow y 2))> |
#<alt (* -1 (* (pow y 2) (+ 1/2 (/ 1 y))))> |
#<alt (* (pow y 2) (- (* -1 (/ (- 1 (/ 1 y)) y)) 1/2))> |
#<alt (* (pow y 2) (- (* -1 (/ (- 1 (/ 1 y)) y)) 1/2))> |
#<alt -1> |
#<alt (- (* -1/2 y) 1)> |
#<alt (- (* -1/2 y) 1)> |
#<alt (- (* -1/2 y) 1)> |
#<alt (* -1/2 y)> |
#<alt (* -1 (* y (+ 1/2 (/ 1 y))))> |
#<alt (* -1 (* y (+ 1/2 (/ 1 y))))> |
#<alt (* -1 (* y (+ 1/2 (/ 1 y))))> |
#<alt (* -1/2 y)> |
#<alt (* -1 (* y (+ 1/2 (/ 1 y))))> |
#<alt (* -1 (* y (+ 1/2 (/ 1 y))))> |
#<alt (* -1 (* y (+ 1/2 (/ 1 y))))> |
#<alt 1> |
#<alt (+ 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 -1) (log y)))> |
#<alt (+ 1 (+ (log -1) (log y)))> |
#<alt (+ 1 (+ (log -1) (log y)))> |
#<alt (+ 1 (+ (log -1) (log y)))> |
#<alt (+ 1 (+ (log -1) (* -1 (log (/ 1 y)))))> |
#<alt (+ 1 (+ (log -1) (* -1 (log (/ 1 y)))))> |
#<alt (+ 1 (+ (log -1) (* -1 (log (/ 1 y)))))> |
#<alt (+ 1 (+ (log -1) (* -1 (log (/ 1 y)))))> |
#<alt (+ 1 (* -1 (log (/ -1 y))))> |
#<alt (+ 1 (* -1 (log (/ -1 y))))> |
#<alt (+ 1 (* -1 (log (/ -1 y))))> |
#<alt (+ 1 (* -1 (log (/ -1 y))))> |
#<alt (* -1 (+ (log -1) (log y)))> |
#<alt (* -1 (+ (log -1) (log y)))> |
#<alt (* -1 (+ (log -1) (log y)))> |
#<alt (* -1 (+ (log -1) (log y)))> |
#<alt (* -1 (+ (log -1) (* -1 (log (/ 1 y)))))> |
#<alt (* -1 (+ (log -1) (* -1 (log (/ 1 y)))))> |
#<alt (* -1 (+ (log -1) (* -1 (log (/ 1 y)))))> |
#<alt (* -1 (+ (log -1) (* -1 (log (/ 1 y)))))> |
#<alt (log (/ -1 y))> |
#<alt (log (/ -1 y))> |
#<alt (log (/ -1 y))> |
#<alt (log (/ -1 y))> |
#<alt (+ (log -1) (log y))> |
#<alt (+ (log -1) (log y))> |
#<alt (+ (log -1) (log y))> |
#<alt (+ (log -1) (log y))> |
#<alt (+ (log -1) (* -1 (log (/ 1 y))))> |
#<alt (+ (log -1) (* -1 (log (/ 1 y))))> |
#<alt (+ (log -1) (* -1 (log (/ 1 y))))> |
#<alt (+ (log -1) (* -1 (log (/ 1 y))))> |
#<alt (* -1 (log (/ -1 y)))> |
#<alt (* -1 (log (/ -1 y)))> |
#<alt (* -1 (log (/ -1 y)))> |
#<alt (* -1 (log (/ -1 y)))> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<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)))))> |
48 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 36.0ms | y | @ | 0 | (- 1 (neg (log (neg y)))) |
| 12.0ms | y | @ | -inf | (- 1 (neg (log (neg y)))) |
| 8.0ms | y | @ | inf | (- 1 (neg (log (neg y)))) |
| 3.0ms | y | @ | 0 | (- (- 1 y) (log (+ 1 (neg x)))) |
| 0.0ms | x | @ | -inf | (- 1 (* x (+ (* x (+ (* x (+ (* x -1/4) -1/3)) -1/2)) -1))) |
| 1× | batch-egg-rewrite |
| 4 878× | accelerator-lowering-fma.f32 |
| 4 878× | accelerator-lowering-fma.f64 |
| 3 944× | /-lowering-/.f32 |
| 3 944× | /-lowering-/.f64 |
| 3 666× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 105 |
| 1 | 199 | 104 |
| 2 | 1805 | 104 |
| 0 | 8406 | 87 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (- 1 y) (log (+ 1 (neg x)))) |
(- 1 y) |
(log (+ 1 (neg x))) |
(neg x) |
(+ (* y (+ (* -1/2 y) -1)) 1) |
(+ (* -1/2 y) -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 (+ (* x -1/4) -1/3)) -1/2)) -1) |
(+ (* x (+ (* x -1/4) -1/3)) -1/2) |
(- 1 (neg (log (neg y)))) |
(neg (log (neg y))) |
(log (neg y)) |
(neg y) |
(+ (* x -1/4) -1/3) |
| Outputs |
|---|
(+.f64 #s(literal 1 binary64) (neg.f64 (+.f64 y (log1p.f64 (neg.f64 x))))) |
(+.f64 #s(literal 1 binary64) (-.f64 (neg.f64 y) (log1p.f64 (neg.f64 x)))) |
(+.f64 (-.f64 #s(literal 1 binary64) y) (neg.f64 (log1p.f64 (neg.f64 x)))) |
(+.f64 (neg.f64 (log1p.f64 (neg.f64 x))) (-.f64 #s(literal 1 binary64) y)) |
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(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log.f64 (neg.f64 y)) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (log.f64 (neg.f64 y))))) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (neg.f64 y)) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (neg.f64 y)) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (neg.f64 y)) #s(literal 2 binary64))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (neg.f64 y)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log.f64 (neg.f64 y)) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (log.f64 (neg.f64 y)))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (neg.f64 y)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (log.f64 (neg.f64 y)) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (neg.f64 (log.f64 (neg.f64 y))))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (neg.f64 y)) #s(literal 2 binary64))) (log.f64 (neg.f64 y))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (neg.f64 y)) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log.f64 (neg.f64 y)) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (log.f64 (neg.f64 y))))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (neg.f64 y)) #s(literal 2 binary64)))) (neg.f64 (log.f64 (neg.f64 y)))) |
(*.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (neg.f64 y)))) |
(*.f64 #s(literal -1 binary64) (log.f64 (neg.f64 y))) |
(*.f64 (log.f64 (neg.f64 y)) #s(literal -1 binary64)) |
(*.f64 (neg.f64 (log.f64 (neg.f64 y))) #s(literal 1 binary64)) |
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (neg.f64 y)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log.f64 (neg.f64 y)) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (log.f64 (neg.f64 y))))))) |
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (neg.f64 y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 (neg.f64 y)))) |
(log.f64 (neg.f64 y)) |
(log.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64))) |
(+.f64 #s(literal 0 binary64) (log.f64 (neg.f64 y))) |
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 y)) |
(+.f64 (log.f64 y) (log.f64 #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (log.f64 (neg.f64 y)))) |
(-.f64 (log.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y)))) (log.f64 (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))))) |
(-.f64 (log.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y))) (log.f64 (+.f64 #s(literal 0 binary64) y))) |
(neg.f64 (neg.f64 (log.f64 (neg.f64 y)))) |
(/.f64 (+.f64 (pow.f64 (log.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 y) #s(literal 3 binary64))) (fma.f64 (log.f64 #s(literal -1 binary64)) (log.f64 #s(literal -1 binary64)) (-.f64 (*.f64 (log.f64 y) (log.f64 y)) (*.f64 (log.f64 #s(literal -1 binary64)) (log.f64 y))))) |
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (neg.f64 y)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (log.f64 (neg.f64 y)) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (log.f64 (neg.f64 y)))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 (log.f64 (neg.f64 y)) #s(literal 3 binary64)))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log.f64 (neg.f64 y)) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (neg.f64 (log.f64 (neg.f64 y))))))) |
(*.f64 #s(literal 1 binary64) (log.f64 (neg.f64 y))) |
(*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 (neg.f64 y)))) |
(+.f64 #s(literal 0 binary64) (neg.f64 y)) |
(-.f64 #s(literal 0 binary64) y) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y)))) (/.f64 (*.f64 y (*.f64 y y)) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) y)) (/.f64 (*.f64 y y) (+.f64 #s(literal 0 binary64) y))) |
(neg.f64 y) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))) (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 y y)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 y y) (*.f64 #s(literal 0 binary64) (neg.f64 y))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y)) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y)))) (neg.f64 (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y))) (neg.f64 (+.f64 #s(literal 0 binary64) y))) |
(*.f64 y #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) y) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))))) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y))) |
(+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)) |
(+.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal -1/4 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))) (neg.f64 (/.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)))) |
(-.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/16 binary64)) (-.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))) |
(fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) |
(fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) |
(fma.f64 (*.f64 (*.f64 x x) #s(literal 1/16 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))) (neg.f64 (/.f64 #s(literal 1/9 binary64) (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/9 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/16 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)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal -1/4 binary64))) (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) #s(literal 1/16 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))))) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/64 binary64) #s(literal -1/27 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 (*.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 #s(literal 1 binary64) (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 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 (*.f64 x x)) #s(literal -1/64 binary64) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 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)) (/.f64 #s(literal 1 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))) (/.f64 #s(literal 1 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 x) #s(literal 1/16 binary64) #s(literal -1/9 binary64))) (/.f64 #s(literal 1 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 binary64) (-.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))) |
| 1× | egg-herbie |
| 9 114× | accelerator-lowering-fma.f32 |
| 9 114× | accelerator-lowering-fma.f64 |
| 3 564× | *-lowering-*.f32 |
| 3 564× | *-lowering-*.f64 |
| 3 046× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 205 | 1368 |
| 1 | 622 | 1320 |
| 2 | 1884 | 1297 |
| 3 | 6271 | 1274 |
| 0 | 8220 | 1195 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- 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 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 |
(+ 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 |
(+ 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 -1) (log y))) |
(+ 1 (+ (log -1) (log y))) |
(+ 1 (+ (log -1) (log y))) |
(+ 1 (+ (log -1) (log y))) |
(+ 1 (+ (log -1) (* -1 (log (/ 1 y))))) |
(+ 1 (+ (log -1) (* -1 (log (/ 1 y))))) |
(+ 1 (+ (log -1) (* -1 (log (/ 1 y))))) |
(+ 1 (+ (log -1) (* -1 (log (/ 1 y))))) |
(+ 1 (* -1 (log (/ -1 y)))) |
(+ 1 (* -1 (log (/ -1 y)))) |
(+ 1 (* -1 (log (/ -1 y)))) |
(+ 1 (* -1 (log (/ -1 y)))) |
(* -1 (+ (log -1) (log y))) |
(* -1 (+ (log -1) (log y))) |
(* -1 (+ (log -1) (log y))) |
(* -1 (+ (log -1) (log y))) |
(* -1 (+ (log -1) (* -1 (log (/ 1 y))))) |
(* -1 (+ (log -1) (* -1 (log (/ 1 y))))) |
(* -1 (+ (log -1) (* -1 (log (/ 1 y))))) |
(* -1 (+ (log -1) (* -1 (log (/ 1 y))))) |
(log (/ -1 y)) |
(log (/ -1 y)) |
(log (/ -1 y)) |
(log (/ -1 y)) |
(+ (log -1) (log y)) |
(+ (log -1) (log y)) |
(+ (log -1) (log y)) |
(+ (log -1) (log y)) |
(+ (log -1) (* -1 (log (/ 1 y)))) |
(+ (log -1) (* -1 (log (/ 1 y)))) |
(+ (log -1) (* -1 (log (/ 1 y)))) |
(+ (log -1) (* -1 (log (/ 1 y)))) |
(* -1 (log (/ -1 y))) |
(* -1 (log (/ -1 y))) |
(* -1 (log (/ -1 y))) |
(* -1 (log (/ -1 y))) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
-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 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 (* -1 y)) (log (- 1 x))) |
(-.f64 (-.f64 #s(literal 1 binary64) y) (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) |
(neg.f64 y) |
(* y (- (/ 1 y) (+ 1 (/ (log (- 1 x)) y)))) |
(-.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 x))) |
(* y (- (/ 1 y) (+ 1 (/ (log (- 1 x)) y)))) |
(-.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 x))) |
(* y (- (/ 1 y) (+ 1 (/ (log (- 1 x)) y)))) |
(-.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 x))) |
(* -1 y) |
(neg.f64 y) |
(* -1 (* y (+ 1 (* -1 (/ (- 1 (log (- 1 x))) y))))) |
(-.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 x))) |
(* -1 (* y (+ 1 (* -1 (/ (- 1 (log (- 1 x))) y))))) |
(-.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 x))) |
(* -1 (* y (+ 1 (* -1 (/ (- 1 (log (- 1 x))) y))))) |
(-.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 x))) |
(- 1 y) |
(-.f64 #s(literal 1 binary64) y) |
(- (+ 1 x) y) |
(+.f64 #s(literal 1 binary64) (-.f64 x y)) |
(- (+ 1 (* x (+ 1 (* 1/2 x)))) y) |
(-.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) y) |
(- (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/3 x)))))) y) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) y)) |
(- 1 (+ y (+ (log -1) (* -1 (log (/ 1 x)))))) |
(-.f64 (-.f64 #s(literal 1 binary64) y) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x))) |
(- (+ 1 (/ 1 x)) (+ y (+ (log -1) (* -1 (log (/ 1 x)))))) |
(+.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) y) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)))) |
(- (+ 1 (+ (/ 1/2 (pow x 2)) (/ 1 x))) (+ y (+ (log -1) (* -1 (log (/ 1 x)))))) |
(+.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 y (log.f64 x))))) |
(- (+ 1 (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3)))))) (+ y (+ (log -1) (* -1 (log (/ 1 x)))))) |
(+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)))) (-.f64 (-.f64 #s(literal 1 binary64) y) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x))))) |
(- 1 (+ y (* -1 (log (/ -1 x))))) |
(-.f64 (-.f64 #s(literal 1 binary64) y) (log.f64 (neg.f64 x))) |
(- (+ 1 (/ 1 x)) (+ y (* -1 (log (/ -1 x))))) |
(+.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) y) (log.f64 (neg.f64 x)))) |
(- (+ 1 (+ (/ 1/2 (pow x 2)) (/ 1 x))) (+ y (* -1 (log (/ -1 x))))) |
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) y) (log.f64 (neg.f64 x)))) |
(- (+ 1 (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x))) (+ y (* -1 (log (/ -1 x))))) |
(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) 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) x)) x)) x)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 y)) |
(-.f64 #s(literal 1 binary64) y) |
(+ 1 (* -1 y)) |
(-.f64 #s(literal 1 binary64) y) |
(+ 1 (* -1 y)) |
(-.f64 #s(literal 1 binary64) y) |
(* -1 y) |
(neg.f64 y) |
(* y (- (/ 1 y) 1)) |
(-.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) |
(* -1 x) |
(neg.f64 x) |
(* x (- (* -1/2 x) 1)) |
(*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64))) |
(* x (- (* x (- (* -1/3 x) 1/2)) 1)) |
(*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))) |
(* x (- (* x (- (* x (- (* -1/4 x) 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))) |
(+ (log -1) (* -1 (log (/ 1 x)))) |
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) |
(- (+ (log -1) (* -1 (log (/ 1 x)))) (/ 1 x)) |
(+.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) (/.f64 #s(literal -1 binary64) x)) |
(+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x)))) |
(+.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x)) |
(- (+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) (pow x 2))))) (/ 1 x)) |
(+.f64 (log.f64 #s(literal -1 binary64)) (-.f64 (log.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x))) |
(* -1 (log (/ -1 x))) |
(log.f64 (neg.f64 x)) |
(- (* -1 (log (/ -1 x))) (/ 1 x)) |
(+.f64 (log.f64 (neg.f64 x)) (/.f64 #s(literal -1 binary64) x)) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x))) |
(+.f64 (log.f64 (neg.f64 x)) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x)) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) x))) |
(+.f64 (log.f64 (neg.f64 x)) (/.f64 (-.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) 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 |
#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)))) |
(*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))) |
(* (pow y 2) (- (/ 1 (pow y 2)) (+ 1/2 (/ 1 y)))) |
(fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(* (pow y 2) (- (/ 1 (pow y 2)) (+ 1/2 (/ 1 y)))) |
(fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(* -1/2 (pow y 2)) |
(*.f64 y (*.f64 y #s(literal -1/2 binary64))) |
(* -1 (* (pow y 2) (+ 1/2 (/ 1 y)))) |
(*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))) |
(* (pow y 2) (- (* -1 (/ (- 1 (/ 1 y)) y)) 1/2)) |
(fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(* (pow y 2) (- (* -1 (/ (- 1 (/ 1 y)) y)) 1/2)) |
(fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) |
-1 |
#s(literal -1 binary64) |
(- (* -1/2 y) 1) |
(fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) |
(- (* -1/2 y) 1) |
(fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) |
(- (* -1/2 y) 1) |
(fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) |
(* -1/2 y) |
(*.f64 y #s(literal -1/2 binary64)) |
(* -1 (* y (+ 1/2 (/ 1 y)))) |
(fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) |
(* -1 (* y (+ 1/2 (/ 1 y)))) |
(fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) |
(* -1 (* y (+ 1/2 (/ 1 y)))) |
(fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) |
(* -1/2 y) |
(*.f64 y #s(literal -1/2 binary64)) |
(* -1 (* y (+ 1/2 (/ 1 y)))) |
(fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) |
(* -1 (* y (+ 1/2 (/ 1 y)))) |
(fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) |
(* -1 (* y (+ 1/2 (/ 1 y)))) |
(fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/3 x)))))) |
(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)) |
(* 1/4 (pow x 4)) |
(*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ 1/4 (* 1/3 (/ 1 x)))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/4 binary64))) |
(* (pow x 4) (+ 1/4 (+ (/ 1/2 (pow x 2)) (* 1/3 (/ 1 x))))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/4 binary64)))) |
(* (pow x 4) (+ 1/4 (+ (/ 1/2 (pow x 2)) (+ (* 1/3 (/ 1 x)) (/ 1 (pow x 3)))))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/4 binary64))))) |
(* 1/4 (pow x 4)) |
(*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ 1/4 (* 1/3 (/ 1 x)))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/4 binary64))) |
(* (pow x 4) (+ 1/4 (+ (/ 1/2 (pow x 2)) (* 1/3 (/ 1 x))))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/4 binary64)))) |
(* (pow x 4) (+ 1/4 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/3) x)))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.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 x) |
(neg.f64 x) |
(* x (- (* -1/2 x) 1)) |
(*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64))) |
(* x (- (* x (- (* -1/3 x) 1/2)) 1)) |
(*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))) |
(* x (- (* x (- (* x (- (* -1/4 x) 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))) |
(* -1/4 (pow x 4)) |
(*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 4 binary64))) |
(* -1 (* (pow x 4) (+ 1/4 (* 1/3 (/ 1 x))))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal -1/3 binary64) x))) |
(* (pow x 4) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal -1/4 binary64) (/.f64 (-.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) x)) x))) |
(* (pow x 4) (- (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 2))) (+ 1/4 (* 1/3 (/ 1 x))))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.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))) |
(* -1/4 (pow x 4)) |
(*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 4 binary64))) |
(* -1 (* (pow x 4) (+ 1/4 (* 1/3 (/ 1 x))))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal -1/3 binary64) x))) |
(* (pow x 4) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal -1/4 binary64) (/.f64 (-.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) x)) x))) |
(* (pow x 4) (- (* -1 (/ (+ 1/3 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/4)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.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 |
#s(literal -1 binary64) |
(- (* -1/2 x) 1) |
(fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) |
(- (* x (- (* -1/3 x) 1/2)) 1) |
(fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) |
(- (* x (- (* x (- (* -1/4 x) 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)) |
(* -1/4 (pow x 3)) |
(*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/4 binary64)) |
(* -1 (* (pow x 3) (+ 1/4 (* 1/3 (/ 1 x))))) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))) |
(* (pow x 3) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4)) |
(*.f64 (*.f64 x (*.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 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 2))) (+ 1/4 (* 1/3 (/ 1 x))))) |
(*.f64 (*.f64 x x) (fma.f64 x (+.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (*.f64 x x))) #s(literal -1/3 binary64))) |
(* -1/4 (pow x 3)) |
(*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/4 binary64)) |
(* -1 (* (pow x 3) (+ 1/4 (* 1/3 (/ 1 x))))) |
(*.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)))))) |
(*.f64 (neg.f64 (*.f64 x x)) (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) #s(literal 1/3 binary64))) |
(* -1 (* (pow x 3) (+ 1/4 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/3) x))))) |
(*.f64 (*.f64 x x) (fma.f64 x (+.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (*.f64 x x))) #s(literal -1/3 binary64))) |
-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 -1) (log y))) |
(+.f64 #s(literal 1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 y))) |
(+ 1 (+ (log -1) (log y))) |
(+.f64 #s(literal 1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 y))) |
(+ 1 (+ (log -1) (log y))) |
(+.f64 #s(literal 1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 y))) |
(+ 1 (+ (log -1) (log y))) |
(+.f64 #s(literal 1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 y))) |
(+ 1 (+ (log -1) (* -1 (log (/ 1 y))))) |
(+.f64 #s(literal 1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 y))) |
(+ 1 (+ (log -1) (* -1 (log (/ 1 y))))) |
(+.f64 #s(literal 1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 y))) |
(+ 1 (+ (log -1) (* -1 (log (/ 1 y))))) |
(+.f64 #s(literal 1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 y))) |
(+ 1 (+ (log -1) (* -1 (log (/ 1 y))))) |
(+.f64 #s(literal 1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 y))) |
(+ 1 (* -1 (log (/ -1 y)))) |
(+.f64 #s(literal 1 binary64) (log.f64 (neg.f64 y))) |
(+ 1 (* -1 (log (/ -1 y)))) |
(+.f64 #s(literal 1 binary64) (log.f64 (neg.f64 y))) |
(+ 1 (* -1 (log (/ -1 y)))) |
(+.f64 #s(literal 1 binary64) (log.f64 (neg.f64 y))) |
(+ 1 (* -1 (log (/ -1 y)))) |
(+.f64 #s(literal 1 binary64) (log.f64 (neg.f64 y))) |
(* -1 (+ (log -1) (log y))) |
(-.f64 (neg.f64 (log.f64 y)) (log.f64 #s(literal -1 binary64))) |
(* -1 (+ (log -1) (log y))) |
(-.f64 (neg.f64 (log.f64 y)) (log.f64 #s(literal -1 binary64))) |
(* -1 (+ (log -1) (log y))) |
(-.f64 (neg.f64 (log.f64 y)) (log.f64 #s(literal -1 binary64))) |
(* -1 (+ (log -1) (log y))) |
(-.f64 (neg.f64 (log.f64 y)) (log.f64 #s(literal -1 binary64))) |
(* -1 (+ (log -1) (* -1 (log (/ 1 y))))) |
(-.f64 (neg.f64 (log.f64 y)) (log.f64 #s(literal -1 binary64))) |
(* -1 (+ (log -1) (* -1 (log (/ 1 y))))) |
(-.f64 (neg.f64 (log.f64 y)) (log.f64 #s(literal -1 binary64))) |
(* -1 (+ (log -1) (* -1 (log (/ 1 y))))) |
(-.f64 (neg.f64 (log.f64 y)) (log.f64 #s(literal -1 binary64))) |
(* -1 (+ (log -1) (* -1 (log (/ 1 y))))) |
(-.f64 (neg.f64 (log.f64 y)) (log.f64 #s(literal -1 binary64))) |
(log (/ -1 y)) |
(neg.f64 (log.f64 (neg.f64 y))) |
(log (/ -1 y)) |
(neg.f64 (log.f64 (neg.f64 y))) |
(log (/ -1 y)) |
(neg.f64 (log.f64 (neg.f64 y))) |
(log (/ -1 y)) |
(neg.f64 (log.f64 (neg.f64 y))) |
(+ (log -1) (log y)) |
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 y)) |
(+ (log -1) (log y)) |
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 y)) |
(+ (log -1) (log y)) |
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 y)) |
(+ (log -1) (log y)) |
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 y)) |
(+ (log -1) (* -1 (log (/ 1 y)))) |
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 y)) |
(+ (log -1) (* -1 (log (/ 1 y)))) |
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 y)) |
(+ (log -1) (* -1 (log (/ 1 y)))) |
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 y)) |
(+ (log -1) (* -1 (log (/ 1 y)))) |
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 y)) |
(* -1 (log (/ -1 y))) |
(log.f64 (neg.f64 y)) |
(* -1 (log (/ -1 y))) |
(log.f64 (neg.f64 y)) |
(* -1 (log (/ -1 y))) |
(log.f64 (neg.f64 y)) |
(* -1 (log (/ -1 y))) |
(log.f64 (neg.f64 y)) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
-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 18 539 to 2 140 computations (88.5% saved)
27 alts after pruning (20 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 719 | 7 | 726 |
| Fresh | 1 | 13 | 14 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 3 | 3 |
| Total | 721 | 27 | 748 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 45.9% | (fma.f64 y (fma.f64 y (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) |
| ✓ | 45.4% | (fma.f64 y (fma.f64 #s(literal -1/2 binary64) y #s(literal -1 binary64)) #s(literal 1 binary64)) |
| 45.4% | (fma.f64 y (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/2 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64)) | |
| 48.2% | (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)) | |
| 47.6% | (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) | |
| ▶ | 45.2% | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)))))) (-.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))))) |
| ✓ | 65.3% | (-.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 x))) |
| 45.3% | (-.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (fma.f64 y (fma.f64 y #s(literal 1/4 binary64) #s(literal 1/3 binary64)) #s(literal 1/2 binary64)) y)) | |
| 19.9% | (-.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 (log.f64 (neg.f64 y))))) | |
| ✓ | 47.6% | (-.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)))) |
| 48.2% | (-.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) | |
| ▶ | 57.1% | (-.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))) |
| 46.3% | (-.f64 #s(literal 1 binary64) (log1p.f64 (fma.f64 y y y))) | |
| ✓ | 46.5% | (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)))) |
| ✓ | 67.1% | (-.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x))) |
| 45.4% | (-.f64 #s(literal 1 binary64) (log1p.f64 y)) | |
| ✓ | 40.7% | (-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))))) |
| 21.9% | (-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x y))) | |
| 46.3% | (-.f64 #s(literal 1 binary64) y) | |
| 19.1% | (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) y)) y) (-.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (neg.f64 y))))) | |
| 20.7% | (+.f64 (log.f64 (neg.f64 y)) #s(literal 1 binary64)) | |
| 47.2% | (+.f64 #s(literal 1 binary64) (-.f64 x y)) | |
| 48.6% | (+.f64 #s(literal 1 binary64) x) | |
| 3.1% | (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))) | |
| ▶ | 2.7% | (*.f64 y (*.f64 y #s(literal -1/2 binary64))) |
| ▶ | 4.1% | (neg.f64 y) |
| ✓ | 48.5% | #s(literal 1 binary64) |
Compiled 494 to 350 computations (29.1% saved)
| 1× | egg-herbie |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)))))) |
| ✓ | cost-diff | 128 | (-.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)))) |
| ✓ | cost-diff | 128 | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)))))) (-.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))))) |
| ✓ | cost-diff | 320 | (*.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)))) |
| ✓ | cost-diff | 0 | (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 y (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) #s(literal -1 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 y (fma.f64 y (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) #s(literal -1 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 | (neg.f64 y) |
| ✓ | cost-diff | 0 | (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) |
| ✓ | cost-diff | 0 | (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
| ✓ | cost-diff | 0 | (neg.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) |
| ✓ | cost-diff | 128 | (-.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))) |
| 12 232× | accelerator-lowering-fma.f32 |
| 12 232× | accelerator-lowering-fma.f64 |
| 3 454× | *-lowering-*.f32 |
| 3 454× | *-lowering-*.f64 |
| 1 990× | --lowering--.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 198 |
| 1 | 83 | 197 |
| 2 | 222 | 197 |
| 3 | 721 | 197 |
| 4 | 2742 | 197 |
| 5 | 5719 | 189 |
| 0 | 8370 | 168 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- 1 (neg (log (/ (+ 1 x) (- 1 (* x x)))))) |
1 |
(neg (log (/ (+ 1 x) (- 1 (* x x))))) |
(log (/ (+ 1 x) (- 1 (* x x)))) |
(/ (+ 1 x) (- 1 (* x x))) |
(+ 1 x) |
x |
(- 1 (* x x)) |
(* x x) |
(neg y) |
y |
(* y (* y -1/2)) |
y |
(* y -1/2) |
-1/2 |
(+ (* y (+ (* y (+ (* -1/3 y) -1/2)) -1)) 1) |
y |
(+ (* y (+ (* -1/3 y) -1/2)) -1) |
(+ (* -1/3 y) -1/2) |
-1/3 |
-1/2 |
-1 |
1 |
(/ (- 1 (* y (* (+ (* y -1/2) -1) (* y (+ (* y -1/2) -1))))) (- 1 (* y (+ (* y -1/2) -1)))) |
(- 1 (* y (* (+ (* y -1/2) -1) (* y (+ (* y -1/2) -1))))) |
1 |
(* y (* (+ (* y -1/2) -1) (* y (+ (* y -1/2) -1)))) |
y |
(* (+ (* y -1/2) -1) (* y (+ (* y -1/2) -1))) |
(+ (* y -1/2) -1) |
-1/2 |
-1 |
(* y (+ (* y -1/2) -1)) |
(- 1 (* y (+ (* y -1/2) -1))) |
| Outputs |
|---|
(- 1 (neg (log (/ (+ 1 x) (- 1 (* x x)))))) |
(+.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) |
1 |
#s(literal 1 binary64) |
(neg (log (/ (+ 1 x) (- 1 (* x x))))) |
(neg.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) |
(log (/ (+ 1 x) (- 1 (* x x)))) |
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(/ (+ 1 x) (- 1 (* x x))) |
(/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
x |
(- 1 (* x x)) |
(-.f64 #s(literal 1 binary64) (*.f64 x x)) |
(* x x) |
(*.f64 x x) |
(neg y) |
(neg.f64 y) |
y |
(* 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) |
(+ (* y (+ (* y (+ (* -1/3 y) -1/2)) -1)) 1) |
(fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/3 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) |
y |
(+ (* y (+ (* -1/3 y) -1/2)) -1) |
(fma.f64 y (fma.f64 y #s(literal -1/3 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) |
(+ (* -1/3 y) -1/2) |
(fma.f64 y #s(literal -1/3 binary64) #s(literal -1/2 binary64)) |
-1/3 |
#s(literal -1/3 binary64) |
-1/2 |
#s(literal -1/2 binary64) |
-1 |
#s(literal -1 binary64) |
1 |
#s(literal 1 binary64) |
(/ (- 1 (* y (* (+ (* y -1/2) -1) (* y (+ (* y -1/2) -1))))) (- 1 (* y (+ (* y -1/2) -1)))) |
(/.f64 (fma.f64 y (fma.f64 y (fma.f64 (*.f64 y y) #s(literal 1/4 binary64) y) y) #s(literal -1 binary64)) (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(- 1 (* y (* (+ (* y -1/2) -1) (* y (+ (* y -1/2) -1))))) |
(-.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 y (fma.f64 (*.f64 y y) #s(literal 1/4 binary64) y) y))) |
1 |
#s(literal 1 binary64) |
(* y (* (+ (* y -1/2) -1) (* y (+ (* y -1/2) -1)))) |
(*.f64 y (fma.f64 y (fma.f64 (*.f64 y y) #s(literal 1/4 binary64) y) y)) |
y |
(* (+ (* y -1/2) -1) (* y (+ (* y -1/2) -1))) |
(fma.f64 y (fma.f64 (*.f64 y y) #s(literal 1/4 binary64) y) 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) |
(* y (+ (* y -1/2) -1)) |
(*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))) |
(- 1 (* y (+ (* y -1/2) -1))) |
(fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))) |
| ✓ | accuracy | 99.9% | (*.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))))) |
| ✓ | accuracy | 99.9% | (*.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)))) |
| ✓ | accuracy | 82.0% | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)))))) (-.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))))) |
| ✓ | accuracy | 99.9% | (fma.f64 y (fma.f64 y (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) |
| ✓ | accuracy | 99.9% | (fma.f64 y (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) #s(literal -1 binary64)) |
| ✓ | accuracy | 99.9% | (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 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% | (neg.f64 y) |
| ✓ | accuracy | 100.0% | (neg.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) |
| ✓ | accuracy | 100.0% | (-.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))) |
| ✓ | accuracy | 85.8% | (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) |
| ✓ | accuracy | 40.9% | (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
| 79.0ms | 53× | 2 | valid |
| 54.0ms | 104× | 1 | valid |
| 21.0ms | 24× | 0 | invalid |
| 16.0ms | 75× | 0 | valid |
Compiled 182 to 31 computations (83% saved)
adjust: 51.0ms (35.3% of total)ival-log: 22.0ms (15.2% of total)const: 21.0ms (14.5% of total)ival-add: 16.0ms (11.1% of total)ival-mult: 16.0ms (11.1% of total)ival-sub: 8.0ms (5.5% of total)ival-div: 6.0ms (4.2% of total)ival-neg: 3.0ms (2.1% of total)exact: 1.0ms (0.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (- 1 (neg (log (/ (+ 1 x) (- 1 (* x x))))))> |
#<alt (neg (log (/ (+ 1 x) (- 1 (* x x)))))> |
#<alt (log (/ (+ 1 x) (- 1 (* x x))))> |
#<alt (/ (+ 1 x) (- 1 (* x x)))> |
#<alt (neg y)> |
#<alt (* y (* y -1/2))> |
#<alt (* y -1/2)> |
#<alt (+ (* y (+ (* y (+ (* -1/3 y) -1/2)) -1)) 1)> |
#<alt (+ (* y (+ (* -1/3 y) -1/2)) -1)> |
#<alt (+ (* -1/3 y) -1/2)> |
#<alt (* (+ (* y -1/2) -1) (* y (+ (* y -1/2) -1)))> |
#<alt (/ (- 1 (* y (* (+ (* y -1/2) -1) (* y (+ (* y -1/2) -1))))) (- 1 (* y (+ (* y -1/2) -1))))> |
#<alt (- 1 (* y (+ (* y -1/2) -1)))> |
#<alt (- 1 (* y (* (+ (* y -1/2) -1) (* y (+ (* y -1/2) -1)))))> |
#<alt (* y (* (+ (* y -1/2) -1) (* y (+ (* y -1/2) -1))))> |
#<alt (* y (+ (* y -1/2) -1))> |
| Outputs |
|---|
#<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) (log (/ 1 x))))> |
#<alt (+ 1 (+ (log -1) (+ (log (/ 1 x)) (/ 1 x))))> |
#<alt (+ 1 (+ (log -1) (+ (log (/ 1 x)) (+ (/ 1/2 (pow x 2)) (/ 1 x)))))> |
#<alt (+ 1 (+ (log -1) (+ (log (/ 1 x)) (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))))))> |
#<alt (+ 1 (log (/ -1 x)))> |
#<alt (+ 1 (+ (log (/ -1 x)) (/ 1 x)))> |
#<alt (+ 1 (+ (log (/ -1 x)) (+ (/ 1/2 (pow x 2)) (/ 1 x))))> |
#<alt (+ 1 (+ (log (/ -1 x)) (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 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 (* -1 (+ (log -1) (log (/ 1 x))))> |
#<alt (* -1 (+ (log -1) (+ (log (/ 1 x)) (/ 1 x))))> |
#<alt (- (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x)) (+ (log -1) (log (/ 1 x))))> |
#<alt (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) (pow x 2))) (+ (log -1) (+ (log (/ 1 x)) (/ 1 x))))> |
#<alt (* -1 (log (/ -1 x)))> |
#<alt (* -1 (+ (log (/ -1 x)) (/ 1 x)))> |
#<alt (- (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x)) (log (/ -1 x)))> |
#<alt (- (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) x)) (log (/ -1 x)))> |
#<alt x> |
#<alt (* x (+ 1 (* 1/2 x)))> |
#<alt (* x (+ 1 (* x (+ 1/2 (* 1/3 x)))))> |
#<alt (* x (+ 1 (* x (+ 1/2 (* x (+ 1/3 (* 1/4 x)))))))> |
#<alt (+ (log -1) (log (/ 1 x)))> |
#<alt (+ (log -1) (+ (log (/ 1 x)) (/ 1 x)))> |
#<alt (+ (log -1) (+ (log (/ 1 x)) (+ (/ 1/2 (pow x 2)) (/ 1 x))))> |
#<alt (+ (log -1) (+ (log (/ 1 x)) (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3)))))))> |
#<alt (log (/ -1 x))> |
#<alt (+ (log (/ -1 x)) (/ 1 x))> |
#<alt (+ (log (/ -1 x)) (+ (/ 1/2 (pow x 2)) (/ 1 x)))> |
#<alt (+ (log (/ -1 x)) (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x)))> |
#<alt 1> |
#<alt (+ 1 x)> |
#<alt (+ 1 (* x (+ 1 x)))> |
#<alt (+ 1 (* x (+ 1 (* x (+ 1 x)))))> |
#<alt (/ -1 x)> |
#<alt (* -1 (/ (+ 1 (/ 1 x)) x))> |
#<alt (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x)> |
#<alt (/ (- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x))) x)> |
#<alt (/ -1 x)> |
#<alt (* -1 (/ (+ 1 (/ 1 x)) x))> |
#<alt (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x))> |
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x))) x))> |
#<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 (* -1/2 (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 (* -1 y))> |
#<alt (+ 1 (* y (- (* -1/2 y) 1)))> |
#<alt (+ 1 (* y (- (* y (- (* -1/3 y) 1/2)) 1)))> |
#<alt (* -1/3 (pow y 3))> |
#<alt (* -1 (* (pow y 3) (+ 1/3 (* 1/2 (/ 1 y)))))> |
#<alt (* (pow y 3) (- (* -1 (/ (+ 1/2 (/ 1 y)) y)) 1/3))> |
#<alt (* (pow y 3) (- (/ 1 (pow y 3)) (+ 1/3 (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 2))))))> |
#<alt (* -1/3 (pow y 3))> |
#<alt (* -1 (* (pow y 3) (+ 1/3 (* 1/2 (/ 1 y)))))> |
#<alt (* -1 (* (pow y 3) (+ 1/3 (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 2))))))> |
#<alt (* -1 (* (pow y 3) (+ 1/3 (* -1 (/ (- (* -1 (/ (- 1 (/ 1 y)) y)) 1/2) y)))))> |
#<alt -1> |
#<alt (- (* -1/2 y) 1)> |
#<alt (- (* y (- (* -1/3 y) 1/2)) 1)> |
#<alt (- (* y (- (* -1/3 y) 1/2)) 1)> |
#<alt (* -1/3 (pow y 2))> |
#<alt (* -1 (* (pow y 2) (+ 1/3 (* 1/2 (/ 1 y)))))> |
#<alt (* (pow y 2) (- (* -1 (/ (+ 1/2 (/ 1 y)) y)) 1/3))> |
#<alt (* (pow y 2) (- (* -1 (/ (+ 1/2 (/ 1 y)) y)) 1/3))> |
#<alt (* -1/3 (pow y 2))> |
#<alt (* -1 (* (pow y 2) (+ 1/3 (* 1/2 (/ 1 y)))))> |
#<alt (* (pow y 2) (- (* -1 (/ (+ 1/2 (/ 1 y)) y)) 1/3))> |
#<alt (* (pow y 2) (- (* -1 (/ (+ 1/2 (/ 1 y)) y)) 1/3))> |
#<alt -1/2> |
#<alt (- (* -1/3 y) 1/2)> |
#<alt (- (* -1/3 y) 1/2)> |
#<alt (- (* -1/3 y) 1/2)> |
#<alt (* -1/3 y)> |
#<alt (* -1 (* y (+ 1/3 (* 1/2 (/ 1 y)))))> |
#<alt (* -1 (* y (+ 1/3 (* 1/2 (/ 1 y)))))> |
#<alt (* -1 (* y (+ 1/3 (* 1/2 (/ 1 y)))))> |
#<alt (* -1/3 y)> |
#<alt (* -1 (* y (+ 1/3 (* 1/2 (/ 1 y)))))> |
#<alt (* -1 (* y (+ 1/3 (* 1/2 (/ 1 y)))))> |
#<alt (* -1 (* y (+ 1/3 (* 1/2 (/ 1 y)))))> |
#<alt y> |
#<alt (* y (+ 1 y))> |
#<alt (* y (+ 1 (* y (+ 1 (* 1/4 y)))))> |
#<alt (* y (+ 1 (* y (+ 1 (* 1/4 y)))))> |
#<alt (* 1/4 (pow y 3))> |
#<alt (* (pow y 3) (+ 1/4 (/ 1 y)))> |
#<alt (* (pow y 3) (+ 1/4 (+ (/ 1 y) (/ 1 (pow y 2)))))> |
#<alt (* (pow y 3) (+ 1/4 (+ (/ 1 y) (/ 1 (pow y 2)))))> |
#<alt (* 1/4 (pow y 3))> |
#<alt (* (pow y 3) (+ 1/4 (/ 1 y)))> |
#<alt (* -1 (* (pow y 3) (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1/4)))> |
#<alt (* -1 (* (pow y 3) (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1/4)))> |
#<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 y)> |
#<alt (+ 1 (* y (+ 1 (* 1/2 y))))> |
#<alt (+ 1 (* y (+ 1 (* 1/2 y))))> |
#<alt (* 1/2 (pow y 2))> |
#<alt (* (pow y 2) (+ 1/2 (/ 1 y)))> |
#<alt (* (pow y 2) (+ 1/2 (+ (/ 1 y) (/ 1 (pow y 2)))))> |
#<alt (* (pow y 2) (+ 1/2 (+ (/ 1 y) (/ 1 (pow y 2)))))> |
#<alt (* 1/2 (pow y 2))> |
#<alt (* (pow y 2) (+ 1/2 (/ 1 y)))> |
#<alt (* (pow y 2) (+ 1/2 (+ (/ 1 y) (/ 1 (pow y 2)))))> |
#<alt (* (pow y 2) (+ 1/2 (+ (/ 1 y) (/ 1 (pow y 2)))))> |
#<alt 1> |
#<alt (+ 1 (* -1 (pow y 2)))> |
#<alt (+ 1 (* (pow y 2) (- (* -1 y) 1)))> |
#<alt (+ 1 (* (pow y 2) (- (* y (- (* -1/4 y) 1)) 1)))> |
#<alt (* -1/4 (pow y 4))> |
#<alt (* -1 (* (pow y 4) (+ 1/4 (/ 1 y))))> |
#<alt (* (pow y 4) (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1/4))> |
#<alt (* (pow y 4) (- (/ 1 (pow y 4)) (+ 1/4 (+ (/ 1 y) (/ 1 (pow y 2))))))> |
#<alt (* -1/4 (pow y 4))> |
#<alt (* -1 (* (pow y 4) (+ 1/4 (/ 1 y))))> |
#<alt (* (pow y 4) (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1/4))> |
#<alt (* (pow y 4) (- (* -1 (/ (+ 1 (* -1 (/ (- (/ 1 (pow y 2)) 1) y))) y)) 1/4))> |
#<alt (pow y 2)> |
#<alt (* (pow y 2) (+ 1 y))> |
#<alt (* (pow y 2) (+ 1 (* y (+ 1 (* 1/4 y)))))> |
#<alt (* (pow y 2) (+ 1 (* y (+ 1 (* 1/4 y)))))> |
#<alt (* 1/4 (pow y 4))> |
#<alt (* (pow y 4) (+ 1/4 (/ 1 y)))> |
#<alt (* (pow y 4) (+ 1/4 (+ (/ 1 y) (/ 1 (pow y 2)))))> |
#<alt (* (pow y 4) (+ 1/4 (+ (/ 1 y) (/ 1 (pow y 2)))))> |
#<alt (* 1/4 (pow y 4))> |
#<alt (* (pow y 4) (+ 1/4 (/ 1 y)))> |
#<alt (* (pow y 4) (+ 1/4 (+ (/ 1 y) (/ 1 (pow y 2)))))> |
#<alt (* (pow y 4) (+ 1/4 (+ (/ 1 y) (/ 1 (pow y 2)))))> |
#<alt (* -1 y)> |
#<alt (* y (- (* -1/2 y) 1))> |
#<alt (* y (- (* -1/2 y) 1))> |
#<alt (* y (- (* -1/2 y) 1))> |
#<alt (* -1/2 (pow y 2))> |
#<alt (* -1 (* (pow y 2) (+ 1/2 (/ 1 y))))> |
#<alt (* -1 (* (pow y 2) (+ 1/2 (/ 1 y))))> |
#<alt (* -1 (* (pow y 2) (+ 1/2 (/ 1 y))))> |
#<alt (* -1/2 (pow y 2))> |
#<alt (* -1 (* (pow y 2) (+ 1/2 (/ 1 y))))> |
#<alt (* -1 (* (pow y 2) (+ 1/2 (/ 1 y))))> |
#<alt (* -1 (* (pow y 2) (+ 1/2 (/ 1 y))))> |
48 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | 0 | (+ (* -1/3 y) -1/2) |
| 0.0ms | y | @ | 0 | (* y (* y -1/2)) |
| 0.0ms | y | @ | inf | (* y (* y -1/2)) |
| 0.0ms | x | @ | inf | (- 1 (neg (log (/ (+ 1 x) (- 1 (* x x)))))) |
| 0.0ms | y | @ | inf | (/ (- 1 (* y (* (+ (* y -1/2) -1) (* y (+ (* y -1/2) -1))))) (- 1 (* y (+ (* y -1/2) -1)))) |
| 1× | batch-egg-rewrite |
| 4 828× | /-lowering-/.f32 |
| 4 828× | /-lowering-/.f64 |
| 4 286× | accelerator-lowering-fma.f32 |
| 4 286× | accelerator-lowering-fma.f64 |
| 4 178× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 168 |
| 1 | 201 | 115 |
| 2 | 1742 | 111 |
| 0 | 8534 | 95 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- 1 (neg (log (/ (+ 1 x) (- 1 (* x x)))))) |
(neg (log (/ (+ 1 x) (- 1 (* x x))))) |
(log (/ (+ 1 x) (- 1 (* x x)))) |
(/ (+ 1 x) (- 1 (* x x))) |
(neg y) |
(* y (* y -1/2)) |
(* y -1/2) |
(+ (* y (+ (* y (+ (* -1/3 y) -1/2)) -1)) 1) |
(+ (* y (+ (* -1/3 y) -1/2)) -1) |
(+ (* -1/3 y) -1/2) |
(* (+ (* y -1/2) -1) (* y (+ (* y -1/2) -1))) |
(/ (- 1 (* y (* (+ (* y -1/2) -1) (* y (+ (* y -1/2) -1))))) (- 1 (* y (+ (* y -1/2) -1)))) |
(- 1 (* y (+ (* y -1/2) -1))) |
(- 1 (* y (* (+ (* y -1/2) -1) (* y (+ (* y -1/2) -1))))) |
(* y (* (+ (* y -1/2) -1) (* y (+ (* y -1/2) -1)))) |
(* y (+ (* y -1/2) -1)) |
| Outputs |
|---|
(+.f64 #s(literal 1 binary64) (neg.f64 (log1p.f64 (neg.f64 x)))) |
(+.f64 (neg.f64 (log1p.f64 (neg.f64 x))) #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x))) |
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (log1p.f64 (neg.f64 x)) (+.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x))) #s(literal 1 binary64))) (/.f64 (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 3 binary64)) (fma.f64 (log1p.f64 (neg.f64 x)) (+.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x))) #s(literal 1 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x)))) (/.f64 (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x))))) |
(fma.f64 #s(literal 1 binary64) (neg.f64 (log1p.f64 (neg.f64 x))) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1 binary64) (log1p.f64 (neg.f64 x)) #s(literal 1 binary64)) |
(fma.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (neg.f64 (*.f64 x x))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (neg.f64 (*.f64 x x))) #s(literal 2 binary64)) (*.f64 (log1p.f64 x) (log1p.f64 (neg.f64 (*.f64 x x))))))) #s(literal 1 binary64)) |
(fma.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (neg.f64 (*.f64 x x))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x)))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 2 binary64)) (neg.f64 (log1p.f64 (neg.f64 x))))) (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 3 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x)))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 3 binary64))) (fma.f64 (log1p.f64 (neg.f64 x)) (+.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x))) #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 2 binary64)) (neg.f64 (log1p.f64 (neg.f64 x)))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (log1p.f64 (neg.f64 x)) (+.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x))) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 2 binary64)) (neg.f64 (log1p.f64 (neg.f64 x))))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 2 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x))))) |
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(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y #s(literal 1/2 binary64))) (*.f64 y (fma.f64 #s(literal -1/8 binary64) (*.f64 y (*.f64 y y)) #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 1 binary64)) (*.f64 y (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y #s(literal 1/2 binary64))) (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 y (*.f64 y y)) #s(literal -1 binary64)) y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) #s(literal -1 binary64)) y))) |
(/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 y y)) (neg.f64 (*.f64 y (*.f64 y y)))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) (-.f64 (*.f64 y y) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) (neg.f64 y))))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) (*.f64 #s(literal -1/2 binary64) (*.f64 y y))) (*.f64 y y)) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) (neg.f64 y))) |
(/.f64 (*.f64 y (fma.f64 #s(literal -1/8 binary64) (*.f64 y (*.f64 y y)) #s(literal -1 binary64))) (-.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y #s(literal 1/2 binary64)))) |
(/.f64 (*.f64 y (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) #s(literal -1 binary64))) (fma.f64 y #s(literal -1/2 binary64) #s(literal 1 binary64))) |
(/.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 y (*.f64 y y)) #s(literal -1 binary64)) y) (-.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y #s(literal 1/2 binary64)))) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) #s(literal -1 binary64)) y) (fma.f64 y #s(literal -1/2 binary64) #s(literal 1 binary64))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 y y)) (neg.f64 (*.f64 y (*.f64 y y))))) (neg.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) (-.f64 (*.f64 y y) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) (neg.f64 y)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) (*.f64 #s(literal -1/2 binary64) (*.f64 y y))) (*.f64 y y))) (neg.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) (neg.f64 y)))) |
(/.f64 (neg.f64 (*.f64 y (fma.f64 #s(literal -1/8 binary64) (*.f64 y (*.f64 y y)) #s(literal -1 binary64)))) (neg.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y #s(literal 1/2 binary64))))) |
(/.f64 (neg.f64 (*.f64 y (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) #s(literal -1 binary64)))) (neg.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 y (*.f64 y y)) #s(literal -1 binary64)) y)) (neg.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y #s(literal 1/2 binary64))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) #s(literal -1 binary64)) y)) (neg.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
(/.f64 (fma.f64 (neg.f64 y) (*.f64 y y) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 y y)))) (fma.f64 y y (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) (*.f64 #s(literal -1/2 binary64) (*.f64 y y))) (*.f64 (neg.f64 y) (*.f64 #s(literal -1/2 binary64) (*.f64 y y)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 y y))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 y y))) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 y y))) (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (*.f64 #s(literal 1 binary64) (neg.f64 y))) (*.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 y y))) (*.f64 #s(literal 1 binary64) (neg.f64 y)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64)) (*.f64 (neg.f64 y) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) #s(literal 1 binary64)) (*.f64 (neg.f64 y) #s(literal 1 binary64)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 y y))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) (fma.f64 y y (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) y)))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 0 binary64)) #s(literal 3 binary64)) (*.f64 y (*.f64 y y))) (fma.f64 (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 0 binary64)) (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 0 binary64)) (fma.f64 y y (*.f64 (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 0 binary64)) y)))) |
(*.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)))) |
(*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))) |
(*.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) y) |
(*.f64 (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))) #s(literal 1 binary64)) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 y y)) (neg.f64 (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) (-.f64 (*.f64 y y) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) (neg.f64 y)))))) |
(*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) (*.f64 #s(literal -1/2 binary64) (*.f64 y y))) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) (neg.f64 y)))) |
(*.f64 (*.f64 #s(literal 1 binary64) y) (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))) |
(*.f64 (*.f64 y (fma.f64 #s(literal -1/8 binary64) (*.f64 y (*.f64 y y)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y #s(literal 1/2 binary64))))) |
(*.f64 (*.f64 y (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 y (*.f64 y y)) #s(literal -1 binary64)) y) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y #s(literal 1/2 binary64))))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) #s(literal -1 binary64)) y) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
| 1× | egg-herbie |
| 8 790× | accelerator-lowering-fma.f32 |
| 8 790× | accelerator-lowering-fma.f64 |
| 3 544× | *-lowering-*.f32 |
| 3 544× | *-lowering-*.f64 |
| 3 144× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 237 | 1517 |
| 1 | 700 | 1474 |
| 2 | 2011 | 1420 |
| 3 | 6002 | 1405 |
| 0 | 8171 | 1283 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
(+ 1 x) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/3 x)))))) |
(+ 1 (+ (log -1) (log (/ 1 x)))) |
(+ 1 (+ (log -1) (+ (log (/ 1 x)) (/ 1 x)))) |
(+ 1 (+ (log -1) (+ (log (/ 1 x)) (+ (/ 1/2 (pow x 2)) (/ 1 x))))) |
(+ 1 (+ (log -1) (+ (log (/ 1 x)) (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3)))))))) |
(+ 1 (log (/ -1 x))) |
(+ 1 (+ (log (/ -1 x)) (/ 1 x))) |
(+ 1 (+ (log (/ -1 x)) (+ (/ 1/2 (pow x 2)) (/ 1 x)))) |
(+ 1 (+ (log (/ -1 x)) (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 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)) |
(* -1 (+ (log -1) (log (/ 1 x)))) |
(* -1 (+ (log -1) (+ (log (/ 1 x)) (/ 1 x)))) |
(- (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x)) (+ (log -1) (log (/ 1 x)))) |
(- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) (pow x 2))) (+ (log -1) (+ (log (/ 1 x)) (/ 1 x)))) |
(* -1 (log (/ -1 x))) |
(* -1 (+ (log (/ -1 x)) (/ 1 x))) |
(- (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x)) (log (/ -1 x))) |
(- (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) x)) (log (/ -1 x))) |
x |
(* x (+ 1 (* 1/2 x))) |
(* x (+ 1 (* x (+ 1/2 (* 1/3 x))))) |
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/3 (* 1/4 x))))))) |
(+ (log -1) (log (/ 1 x))) |
(+ (log -1) (+ (log (/ 1 x)) (/ 1 x))) |
(+ (log -1) (+ (log (/ 1 x)) (+ (/ 1/2 (pow x 2)) (/ 1 x)))) |
(+ (log -1) (+ (log (/ 1 x)) (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))))) |
(log (/ -1 x)) |
(+ (log (/ -1 x)) (/ 1 x)) |
(+ (log (/ -1 x)) (+ (/ 1/2 (pow x 2)) (/ 1 x))) |
(+ (log (/ -1 x)) (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x))) |
1 |
(+ 1 x) |
(+ 1 (* x (+ 1 x))) |
(+ 1 (* x (+ 1 (* x (+ 1 x))))) |
(/ -1 x) |
(* -1 (/ (+ 1 (/ 1 x)) x)) |
(/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x) |
(/ (- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x))) x) |
(/ -1 x) |
(* -1 (/ (+ 1 (/ 1 x)) x)) |
(* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x))) x)) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1/2 (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 (* -1 y)) |
(+ 1 (* y (- (* -1/2 y) 1))) |
(+ 1 (* y (- (* y (- (* -1/3 y) 1/2)) 1))) |
(* -1/3 (pow y 3)) |
(* -1 (* (pow y 3) (+ 1/3 (* 1/2 (/ 1 y))))) |
(* (pow y 3) (- (* -1 (/ (+ 1/2 (/ 1 y)) y)) 1/3)) |
(* (pow y 3) (- (/ 1 (pow y 3)) (+ 1/3 (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 2)))))) |
(* -1/3 (pow y 3)) |
(* -1 (* (pow y 3) (+ 1/3 (* 1/2 (/ 1 y))))) |
(* -1 (* (pow y 3) (+ 1/3 (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 2)))))) |
(* -1 (* (pow y 3) (+ 1/3 (* -1 (/ (- (* -1 (/ (- 1 (/ 1 y)) y)) 1/2) y))))) |
-1 |
(- (* -1/2 y) 1) |
(- (* y (- (* -1/3 y) 1/2)) 1) |
(- (* y (- (* -1/3 y) 1/2)) 1) |
(* -1/3 (pow y 2)) |
(* -1 (* (pow y 2) (+ 1/3 (* 1/2 (/ 1 y))))) |
(* (pow y 2) (- (* -1 (/ (+ 1/2 (/ 1 y)) y)) 1/3)) |
(* (pow y 2) (- (* -1 (/ (+ 1/2 (/ 1 y)) y)) 1/3)) |
(* -1/3 (pow y 2)) |
(* -1 (* (pow y 2) (+ 1/3 (* 1/2 (/ 1 y))))) |
(* (pow y 2) (- (* -1 (/ (+ 1/2 (/ 1 y)) y)) 1/3)) |
(* (pow y 2) (- (* -1 (/ (+ 1/2 (/ 1 y)) y)) 1/3)) |
-1/2 |
(- (* -1/3 y) 1/2) |
(- (* -1/3 y) 1/2) |
(- (* -1/3 y) 1/2) |
(* -1/3 y) |
(* -1 (* y (+ 1/3 (* 1/2 (/ 1 y))))) |
(* -1 (* y (+ 1/3 (* 1/2 (/ 1 y))))) |
(* -1 (* y (+ 1/3 (* 1/2 (/ 1 y))))) |
(* -1/3 y) |
(* -1 (* y (+ 1/3 (* 1/2 (/ 1 y))))) |
(* -1 (* y (+ 1/3 (* 1/2 (/ 1 y))))) |
(* -1 (* y (+ 1/3 (* 1/2 (/ 1 y))))) |
y |
(* y (+ 1 y)) |
(* y (+ 1 (* y (+ 1 (* 1/4 y))))) |
(* y (+ 1 (* y (+ 1 (* 1/4 y))))) |
(* 1/4 (pow y 3)) |
(* (pow y 3) (+ 1/4 (/ 1 y))) |
(* (pow y 3) (+ 1/4 (+ (/ 1 y) (/ 1 (pow y 2))))) |
(* (pow y 3) (+ 1/4 (+ (/ 1 y) (/ 1 (pow y 2))))) |
(* 1/4 (pow y 3)) |
(* (pow y 3) (+ 1/4 (/ 1 y))) |
(* -1 (* (pow y 3) (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1/4))) |
(* -1 (* (pow y 3) (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1/4))) |
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 y) |
(+ 1 (* y (+ 1 (* 1/2 y)))) |
(+ 1 (* y (+ 1 (* 1/2 y)))) |
(* 1/2 (pow y 2)) |
(* (pow y 2) (+ 1/2 (/ 1 y))) |
(* (pow y 2) (+ 1/2 (+ (/ 1 y) (/ 1 (pow y 2))))) |
(* (pow y 2) (+ 1/2 (+ (/ 1 y) (/ 1 (pow y 2))))) |
(* 1/2 (pow y 2)) |
(* (pow y 2) (+ 1/2 (/ 1 y))) |
(* (pow y 2) (+ 1/2 (+ (/ 1 y) (/ 1 (pow y 2))))) |
(* (pow y 2) (+ 1/2 (+ (/ 1 y) (/ 1 (pow y 2))))) |
1 |
(+ 1 (* -1 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* -1 y) 1))) |
(+ 1 (* (pow y 2) (- (* y (- (* -1/4 y) 1)) 1))) |
(* -1/4 (pow y 4)) |
(* -1 (* (pow y 4) (+ 1/4 (/ 1 y)))) |
(* (pow y 4) (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1/4)) |
(* (pow y 4) (- (/ 1 (pow y 4)) (+ 1/4 (+ (/ 1 y) (/ 1 (pow y 2)))))) |
(* -1/4 (pow y 4)) |
(* -1 (* (pow y 4) (+ 1/4 (/ 1 y)))) |
(* (pow y 4) (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1/4)) |
(* (pow y 4) (- (* -1 (/ (+ 1 (* -1 (/ (- (/ 1 (pow y 2)) 1) y))) y)) 1/4)) |
(pow y 2) |
(* (pow y 2) (+ 1 y)) |
(* (pow y 2) (+ 1 (* y (+ 1 (* 1/4 y))))) |
(* (pow y 2) (+ 1 (* y (+ 1 (* 1/4 y))))) |
(* 1/4 (pow y 4)) |
(* (pow y 4) (+ 1/4 (/ 1 y))) |
(* (pow y 4) (+ 1/4 (+ (/ 1 y) (/ 1 (pow y 2))))) |
(* (pow y 4) (+ 1/4 (+ (/ 1 y) (/ 1 (pow y 2))))) |
(* 1/4 (pow y 4)) |
(* (pow y 4) (+ 1/4 (/ 1 y))) |
(* (pow y 4) (+ 1/4 (+ (/ 1 y) (/ 1 (pow y 2))))) |
(* (pow y 4) (+ 1/4 (+ (/ 1 y) (/ 1 (pow y 2))))) |
(* -1 y) |
(* y (- (* -1/2 y) 1)) |
(* y (- (* -1/2 y) 1)) |
(* y (- (* -1/2 y) 1)) |
(* -1/2 (pow y 2)) |
(* -1 (* (pow y 2) (+ 1/2 (/ 1 y)))) |
(* -1 (* (pow y 2) (+ 1/2 (/ 1 y)))) |
(* -1 (* (pow y 2) (+ 1/2 (/ 1 y)))) |
(* -1/2 (pow y 2)) |
(* -1 (* (pow y 2) (+ 1/2 (/ 1 y)))) |
(* -1 (* (pow y 2) (+ 1/2 (/ 1 y)))) |
(* -1 (* (pow y 2) (+ 1/2 (/ 1 y)))) |
| Outputs |
|---|
1 |
#s(literal 1 binary64) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/3 x)))))) |
(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 -1) (log (/ 1 x)))) |
(+.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x))) |
(+ 1 (+ (log -1) (+ (log (/ 1 x)) (/ 1 x)))) |
(+.f64 #s(literal 1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 x)))) |
(+ 1 (+ (log -1) (+ (log (/ 1 x)) (+ (/ 1/2 (pow x 2)) (/ 1 x))))) |
(+.f64 #s(literal 1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))) |
(+ 1 (+ (log -1) (+ (log (/ 1 x)) (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3)))))))) |
(+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.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) (log.f64 x)))) |
(+ 1 (log (/ -1 x))) |
(+.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (neg.f64 x)))) |
(+ 1 (+ (log (/ -1 x)) (/ 1 x))) |
(+.f64 (neg.f64 (log.f64 (neg.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) |
(+ 1 (+ (log (/ -1 x)) (+ (/ 1/2 (pow x 2)) (/ 1 x)))) |
(+.f64 (neg.f64 (log.f64 (neg.f64 x))) (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)))) |
(+ 1 (+ (log (/ -1 x)) (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x)))) |
(+.f64 #s(literal 1 binary64) (+.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))) |
(* -1 x) |
(neg.f64 x) |
(* x (- (* -1/2 x) 1)) |
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(*.f64 y (fma.f64 y y y)) |
(* (pow y 2) (+ 1 (* y (+ 1 (* 1/4 y))))) |
(*.f64 y (fma.f64 y (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) y) y)) |
(* (pow y 2) (+ 1 (* y (+ 1 (* 1/4 y))))) |
(*.f64 y (fma.f64 y (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) y) y)) |
(* 1/4 (pow y 4)) |
(*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y y) (*.f64 y y))) |
(* (pow y 4) (+ 1/4 (/ 1 y))) |
(*.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 (*.f64 y y) (*.f64 y y))) |
(* (pow y 4) (+ 1/4 (+ (/ 1 y) (/ 1 (pow y 2))))) |
(*.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y)) (*.f64 (*.f64 y y) (*.f64 y y))) |
(* (pow y 4) (+ 1/4 (+ (/ 1 y) (/ 1 (pow y 2))))) |
(*.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y)) (*.f64 (*.f64 y y) (*.f64 y y))) |
(* 1/4 (pow y 4)) |
(*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y y) (*.f64 y y))) |
(* (pow y 4) (+ 1/4 (/ 1 y))) |
(*.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 (*.f64 y y) (*.f64 y y))) |
(* (pow y 4) (+ 1/4 (+ (/ 1 y) (/ 1 (pow y 2))))) |
(*.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y)) (*.f64 (*.f64 y y) (*.f64 y y))) |
(* (pow y 4) (+ 1/4 (+ (/ 1 y) (/ 1 (pow y 2))))) |
(*.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y)) (*.f64 (*.f64 y y) (*.f64 y y))) |
(* -1 y) |
(neg.f64 y) |
(* y (- (* -1/2 y) 1)) |
(*.f64 y (fma.f64 #s(literal -1/2 binary64) y #s(literal -1 binary64))) |
(* y (- (* -1/2 y) 1)) |
(*.f64 y (fma.f64 #s(literal -1/2 binary64) y #s(literal -1 binary64))) |
(* y (- (* -1/2 y) 1)) |
(*.f64 y (fma.f64 #s(literal -1/2 binary64) y #s(literal -1 binary64))) |
(* -1/2 (pow y 2)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 y y)) |
(* -1 (* (pow y 2) (+ 1/2 (/ 1 y)))) |
(*.f64 y (fma.f64 #s(literal -1/2 binary64) y #s(literal -1 binary64))) |
(* -1 (* (pow y 2) (+ 1/2 (/ 1 y)))) |
(*.f64 y (fma.f64 #s(literal -1/2 binary64) y #s(literal -1 binary64))) |
(* -1 (* (pow y 2) (+ 1/2 (/ 1 y)))) |
(*.f64 y (fma.f64 #s(literal -1/2 binary64) y #s(literal -1 binary64))) |
(* -1/2 (pow y 2)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 y y)) |
(* -1 (* (pow y 2) (+ 1/2 (/ 1 y)))) |
(*.f64 y (fma.f64 #s(literal -1/2 binary64) y #s(literal -1 binary64))) |
(* -1 (* (pow y 2) (+ 1/2 (/ 1 y)))) |
(*.f64 y (fma.f64 #s(literal -1/2 binary64) y #s(literal -1 binary64))) |
(* -1 (* (pow y 2) (+ 1/2 (/ 1 y)))) |
(*.f64 y (fma.f64 #s(literal -1/2 binary64) y #s(literal -1 binary64))) |
Compiled 33 270 to 2 942 computations (91.2% saved)
33 alts after pruning (23 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 932 | 9 | 941 |
| Fresh | 1 | 14 | 15 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 7 | 7 |
| Total | 935 | 33 | 968 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 45.9% | (fma.f64 y (fma.f64 y (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) |
| ✓ | 45.4% | (fma.f64 y (fma.f64 #s(literal -1/2 binary64) y #s(literal -1 binary64)) #s(literal 1 binary64)) |
| 48.2% | (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)) | |
| 47.6% | (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) | |
| 2.5% | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)))))) (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) y)) | |
| 45.8% | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) (neg.f64 y)))) (-.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))))) | |
| 45.8% | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))))) | |
| 2.5% | (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))) (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))))) | |
| ✓ | 65.3% | (-.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 x))) |
| 45.3% | (-.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (fma.f64 y (fma.f64 y #s(literal 1/4 binary64) #s(literal 1/3 binary64)) #s(literal 1/2 binary64)) y)) | |
| 19.9% | (-.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 (log.f64 (neg.f64 y))))) | |
| ✓ | 47.6% | (-.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)))) |
| 48.2% | (-.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) | |
| 67.0% | (-.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))))) | |
| 48.1% | (-.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)))) | |
| 46.3% | (-.f64 #s(literal 1 binary64) (log1p.f64 (fma.f64 y y y))) | |
| ✓ | 46.5% | (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)))) |
| ✓ | 67.1% | (-.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x))) |
| 45.4% | (-.f64 #s(literal 1 binary64) (log1p.f64 y)) | |
| ✓ | 40.7% | (-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))))) |
| 21.9% | (-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x y))) | |
| 46.3% | (-.f64 #s(literal 1 binary64) y) | |
| 19.1% | (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) y)) y) (-.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (neg.f64 y))))) | |
| 20.7% | (+.f64 (log.f64 (neg.f64 y)) #s(literal 1 binary64)) | |
| 47.2% | (+.f64 #s(literal 1 binary64) (-.f64 x y)) | |
| 48.6% | (+.f64 #s(literal 1 binary64) x) | |
| 2.5% | (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))))) | |
| 4.0% | (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y))) | |
| 3.6% | (*.f64 y (fma.f64 y (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) #s(literal -1 binary64))) | |
| 3.1% | (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))) | |
| ✓ | 2.7% | (*.f64 y (*.f64 y #s(literal -1/2 binary64))) |
| ✓ | 4.1% | (neg.f64 y) |
| ✓ | 48.5% | #s(literal 1 binary64) |
Compiled 841 to 414 computations (50.8% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
(neg.f64 y) |
(+.f64 #s(literal 1 binary64) x) |
(-.f64 #s(literal 1 binary64) y) |
(+.f64 #s(literal 1 binary64) (-.f64 x y)) |
(*.f64 y (*.f64 y #s(literal -1/2 binary64))) |
(*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))) |
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 y (fma.f64 #s(literal -1/2 binary64) y #s(literal -1 binary64)) #s(literal 1 binary64)) |
(*.f64 y (fma.f64 y (fma.f64 #s(literal -1/3 binary64) 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)) |
(fma.f64 y (fma.f64 y (fma.f64 #s(literal -1/3 binary64) y #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 #s(literal -1/3 binary64) #s(literal -1/2 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 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (fma.f64 y (fma.f64 y #s(literal 1/4 binary64) #s(literal 1/3 binary64)) #s(literal 1/2 binary64)) y)) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))))) |
(fma.f64 y (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/2 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64)) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) (neg.f64 y)))) (-.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))) (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)))))) (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) y)) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)))))) (-.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))))) |
(-.f64 #s(literal 1 binary64) (log1p.f64 y)) |
(+.f64 (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 #s(literal 1 binary64) (neg.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)))) |
(-.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 x))) |
(-.f64 #s(literal 1 binary64) (log1p.f64 (fma.f64 y y y))) |
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x y))) |
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))))) |
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y))) |
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)))) |
(-.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))))) |
(-.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 (log.f64 (neg.f64 y))))) |
(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) |
(-.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x 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 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) y)) y) (-.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (neg.f64 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))) |
(-.f64 #s(literal 1 binary64) (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y))) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))))) (/.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)))))) |
| Outputs |
|---|
(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) |
(-.f64 #s(literal 1 binary64) (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 |
| 14.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| 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 | y |
| 10.0ms | (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 84.0% | 3 | x |
| 100.0% | 3 | y |
| 100.0% | 2 | (-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) |
| 100.0% | 2 | (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))) |
| 100.0% | 2 | (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) |
| 100.0% | 2 | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
Compiled 52 to 34 computations (34.6% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
(neg.f64 y) |
(+.f64 #s(literal 1 binary64) x) |
(-.f64 #s(literal 1 binary64) y) |
(+.f64 #s(literal 1 binary64) (-.f64 x y)) |
(*.f64 y (*.f64 y #s(literal -1/2 binary64))) |
(*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))) |
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 y (fma.f64 #s(literal -1/2 binary64) y #s(literal -1 binary64)) #s(literal 1 binary64)) |
(*.f64 y (fma.f64 y (fma.f64 #s(literal -1/3 binary64) 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)) |
(fma.f64 y (fma.f64 y (fma.f64 #s(literal -1/3 binary64) y #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 #s(literal -1/3 binary64) #s(literal -1/2 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 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (fma.f64 y (fma.f64 y #s(literal 1/4 binary64) #s(literal 1/3 binary64)) #s(literal 1/2 binary64)) y)) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))))) |
(fma.f64 y (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/2 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64)) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) (neg.f64 y)))) (-.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))) (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)))))) (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) y)) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)))))) (-.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))))) |
(-.f64 #s(literal 1 binary64) (log1p.f64 y)) |
(+.f64 (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 #s(literal 1 binary64) (neg.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)))) |
(-.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 x))) |
(-.f64 #s(literal 1 binary64) (log1p.f64 (fma.f64 y y y))) |
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x y))) |
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))))) |
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y))) |
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)))) |
(-.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))))) |
(-.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 (log.f64 (neg.f64 y))))) |
(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) |
(-.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x 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 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) y)) y) (-.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (neg.f64 y))))) |
| Outputs |
|---|
(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) |
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal -1 binary64) (+.f64 x (/.f64 (+.f64 #s(literal -1 binary64) x) y))) y))) |
4 calls:
| 17.0ms | (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))) |
| 11.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| 10.0ms | (-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) |
| 9.0ms | (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 2 | (-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) |
| 100.0% | 2 | (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))) |
| 100.0% | 2 | (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) |
| 100.0% | 2 | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
Compiled 46 to 30 computations (34.8% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
(neg.f64 y) |
(+.f64 #s(literal 1 binary64) x) |
(-.f64 #s(literal 1 binary64) y) |
(+.f64 #s(literal 1 binary64) (-.f64 x y)) |
(*.f64 y (*.f64 y #s(literal -1/2 binary64))) |
(*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))) |
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 y (fma.f64 #s(literal -1/2 binary64) y #s(literal -1 binary64)) #s(literal 1 binary64)) |
(*.f64 y (fma.f64 y (fma.f64 #s(literal -1/3 binary64) 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)) |
(fma.f64 y (fma.f64 y (fma.f64 #s(literal -1/3 binary64) y #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 #s(literal -1/3 binary64) #s(literal -1/2 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 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (fma.f64 y (fma.f64 y #s(literal 1/4 binary64) #s(literal 1/3 binary64)) #s(literal 1/2 binary64)) y)) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))))) |
(fma.f64 y (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/2 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64)) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) (neg.f64 y)))) (-.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))) (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)))))) (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) y)) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)))))) (-.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))))) |
(-.f64 #s(literal 1 binary64) (log1p.f64 y)) |
(+.f64 (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 #s(literal 1 binary64) (neg.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)))) |
(-.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 x))) |
(-.f64 #s(literal 1 binary64) (log1p.f64 (fma.f64 y y y))) |
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x y))) |
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))))) |
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y))) |
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)))) |
(-.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))))) |
(-.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 (log.f64 (neg.f64 y))))) |
(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) |
(-.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))) |
| Outputs |
|---|
(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) |
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y))) |
4 calls:
| 12.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| 10.0ms | (-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) |
| 9.0ms | (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 y (*.f64 y #s(literal -1/2 binary64))) |
(*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))) |
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 y (fma.f64 #s(literal -1/2 binary64) y #s(literal -1 binary64)) #s(literal 1 binary64)) |
(*.f64 y (fma.f64 y (fma.f64 #s(literal -1/3 binary64) 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)) |
(fma.f64 y (fma.f64 y (fma.f64 #s(literal -1/3 binary64) y #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 #s(literal -1/3 binary64) #s(literal -1/2 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 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (fma.f64 y (fma.f64 y #s(literal 1/4 binary64) #s(literal 1/3 binary64)) #s(literal 1/2 binary64)) y)) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))))) |
(fma.f64 y (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/2 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64)) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) (neg.f64 y)))) (-.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))) (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)))))) (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) y)) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)))))) (-.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))))) |
(-.f64 #s(literal 1 binary64) (log1p.f64 y)) |
(+.f64 (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 #s(literal 1 binary64) (neg.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)))) |
(-.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 x))) |
(-.f64 #s(literal 1 binary64) (log1p.f64 (fma.f64 y y y))) |
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x y))) |
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))))) |
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y))) |
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)))) |
(-.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))))) |
(-.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 (log.f64 (neg.f64 y))))) |
| Outputs |
|---|
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y))) |
(-.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 x))) |
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))))) |
5 calls:
| 14.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| 11.0ms | (-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) |
| 10.0ms | y |
| 9.0ms | (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) |
| 9.0ms | (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.2% | 3 | y |
| 99.1% | 3 | (-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) |
| 99.1% | 3 | (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))) |
| 99.1% | 3 | (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) |
| 99.1% | 3 | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
Compiled 49 to 32 computations (34.7% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
(neg.f64 y) |
(+.f64 #s(literal 1 binary64) x) |
(-.f64 #s(literal 1 binary64) y) |
(+.f64 #s(literal 1 binary64) (-.f64 x y)) |
(*.f64 y (*.f64 y #s(literal -1/2 binary64))) |
(*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))) |
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 y (fma.f64 #s(literal -1/2 binary64) y #s(literal -1 binary64)) #s(literal 1 binary64)) |
(*.f64 y (fma.f64 y (fma.f64 #s(literal -1/3 binary64) 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)) |
(fma.f64 y (fma.f64 y (fma.f64 #s(literal -1/3 binary64) y #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 #s(literal -1/3 binary64) #s(literal -1/2 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 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (fma.f64 y (fma.f64 y #s(literal 1/4 binary64) #s(literal 1/3 binary64)) #s(literal 1/2 binary64)) y)) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))))) |
(fma.f64 y (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/2 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64)) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) (neg.f64 y)))) (-.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))) (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)))))) (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) y)) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)))))) (-.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))))) |
(-.f64 #s(literal 1 binary64) (log1p.f64 y)) |
(+.f64 (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 #s(literal 1 binary64) (neg.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)))) |
(-.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 x))) |
(-.f64 #s(literal 1 binary64) (log1p.f64 (fma.f64 y y y))) |
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x y))) |
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (+.f64 y #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 #s(literal 1 binary64) (log.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))))) |
5 calls:
| 17.0ms | (-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) |
| 10.0ms | y |
| 9.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| 9.0ms | (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) |
| 8.0ms | (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 90.5% | 3 | (-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) |
| 90.5% | 3 | (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))) |
| 90.5% | 3 | (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) |
| 90.5% | 3 | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| 91.8% | 3 | y |
Compiled 49 to 32 computations (34.7% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
(neg.f64 y) |
(+.f64 #s(literal 1 binary64) x) |
(-.f64 #s(literal 1 binary64) y) |
(+.f64 #s(literal 1 binary64) (-.f64 x y)) |
(*.f64 y (*.f64 y #s(literal -1/2 binary64))) |
(*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))) |
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 y (fma.f64 #s(literal -1/2 binary64) y #s(literal -1 binary64)) #s(literal 1 binary64)) |
(*.f64 y (fma.f64 y (fma.f64 #s(literal -1/3 binary64) 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)) |
(fma.f64 y (fma.f64 y (fma.f64 #s(literal -1/3 binary64) y #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 #s(literal -1/3 binary64) #s(literal -1/2 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 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (fma.f64 y (fma.f64 y #s(literal 1/4 binary64) #s(literal 1/3 binary64)) #s(literal 1/2 binary64)) y)) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))))) |
(fma.f64 y (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/2 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64)) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) (neg.f64 y)))) (-.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))) (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)))))) (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) y)) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)))))) (-.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))))) |
(-.f64 #s(literal 1 binary64) (log1p.f64 y)) |
(+.f64 (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 #s(literal 1 binary64) (neg.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)))) |
(-.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 x))) |
(-.f64 #s(literal 1 binary64) (log1p.f64 (fma.f64 y y y))) |
(-.f64 #s(literal 1 binary64) (log.f64 (/.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:
| 9.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.4% | 3 | y |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
(neg.f64 y) |
(+.f64 #s(literal 1 binary64) x) |
(-.f64 #s(literal 1 binary64) y) |
(+.f64 #s(literal 1 binary64) (-.f64 x y)) |
(*.f64 y (*.f64 y #s(literal -1/2 binary64))) |
(*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))) |
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 y (fma.f64 #s(literal -1/2 binary64) y #s(literal -1 binary64)) #s(literal 1 binary64)) |
(*.f64 y (fma.f64 y (fma.f64 #s(literal -1/3 binary64) 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)) |
(fma.f64 y (fma.f64 y (fma.f64 #s(literal -1/3 binary64) y #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 #s(literal -1/3 binary64) #s(literal -1/2 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 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (fma.f64 y (fma.f64 y #s(literal 1/4 binary64) #s(literal 1/3 binary64)) #s(literal 1/2 binary64)) y)) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))))) |
(fma.f64 y (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/2 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64)) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) (neg.f64 y)))) (-.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))) (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)))))) (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) y)) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)))))) (-.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))))) |
(-.f64 #s(literal 1 binary64) (log1p.f64 y)) |
(+.f64 (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 #s(literal 1 binary64) (neg.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)))) |
(-.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 x))) |
(-.f64 #s(literal 1 binary64) (log1p.f64 (fma.f64 y y y))) |
| Outputs |
|---|
(+.f64 (log.f64 (neg.f64 y)) #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x))) |
5 calls:
| 12.0ms | y |
| 11.0ms | (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 |
|---|---|---|
| 82.7% | 2 | (-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) |
| 82.7% | 2 | (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))) |
| 82.7% | 2 | (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) |
| 82.7% | 2 | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| 82.3% | 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 y (*.f64 y #s(literal -1/2 binary64))) |
(*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))) |
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 y (fma.f64 #s(literal -1/2 binary64) y #s(literal -1 binary64)) #s(literal 1 binary64)) |
(*.f64 y (fma.f64 y (fma.f64 #s(literal -1/3 binary64) 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)) |
(fma.f64 y (fma.f64 y (fma.f64 #s(literal -1/3 binary64) y #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 #s(literal -1/3 binary64) #s(literal -1/2 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 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (fma.f64 y (fma.f64 y #s(literal 1/4 binary64) #s(literal 1/3 binary64)) #s(literal 1/2 binary64)) y)) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))))) |
(fma.f64 y (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/2 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64)) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) (neg.f64 y)))) (-.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))) (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)))))) (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) y)) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)))))) (-.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))))) |
(-.f64 #s(literal 1 binary64) (log1p.f64 y)) |
(+.f64 (log.f64 (neg.f64 y)) #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) (log.f64 (neg.f64 x))) |
| Outputs |
|---|
(+.f64 (log.f64 (neg.f64 y)) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (-.f64 x y)) |
(-.f64 #s(literal 1 binary64) (log.f64 (neg.f64 x))) |
6 calls:
| 11.0ms | (-.f64 #s(literal 1 binary64) (/.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))))) |
| 8.0ms | y |
| 8.0ms | x |
| 7.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 64.1% | 2 | y |
| 66.9% | 2 | x |
| 82.2% | 3 | (-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) |
| 82.2% | 3 | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| 82.2% | 3 | (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))) |
| 82.2% | 3 | (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) |
Compiled 52 to 34 computations (34.6% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
(neg.f64 y) |
(+.f64 #s(literal 1 binary64) x) |
(-.f64 #s(literal 1 binary64) y) |
(+.f64 #s(literal 1 binary64) (-.f64 x y)) |
(*.f64 y (*.f64 y #s(literal -1/2 binary64))) |
(*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))) |
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 y (fma.f64 #s(literal -1/2 binary64) y #s(literal -1 binary64)) #s(literal 1 binary64)) |
(*.f64 y (fma.f64 y (fma.f64 #s(literal -1/3 binary64) 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)) |
(fma.f64 y (fma.f64 y (fma.f64 #s(literal -1/3 binary64) y #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 #s(literal -1/3 binary64) #s(literal -1/2 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 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (fma.f64 y (fma.f64 y #s(literal 1/4 binary64) #s(literal 1/3 binary64)) #s(literal 1/2 binary64)) y)) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))))) |
(fma.f64 y (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/2 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64)) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) (neg.f64 y)))) (-.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))) (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)))))) (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) y)) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)))))) (-.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))))) |
(-.f64 #s(literal 1 binary64) (log1p.f64 y)) |
(+.f64 (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)) |
5 calls:
| 37.0ms | (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))) |
| 7.0ms | x |
| 7.0ms | (/.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))))) |
| 6.0ms | (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 50.4% | 2 | x |
| 64.2% | 2 | (-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) |
| 64.2% | 2 | (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))) |
| 64.2% | 2 | (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) |
| 64.2% | 2 | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
Compiled 49 to 32 computations (34.7% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
(neg.f64 y) |
(+.f64 #s(literal 1 binary64) x) |
(-.f64 #s(literal 1 binary64) y) |
(+.f64 #s(literal 1 binary64) (-.f64 x y)) |
(*.f64 y (*.f64 y #s(literal -1/2 binary64))) |
(*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))) |
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 y (fma.f64 #s(literal -1/2 binary64) y #s(literal -1 binary64)) #s(literal 1 binary64)) |
(*.f64 y (fma.f64 y (fma.f64 #s(literal -1/3 binary64) 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)) |
(fma.f64 y (fma.f64 y (fma.f64 #s(literal -1/3 binary64) y #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 #s(literal -1/3 binary64) #s(literal -1/2 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 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (fma.f64 y (fma.f64 y #s(literal 1/4 binary64) #s(literal 1/3 binary64)) #s(literal 1/2 binary64)) y)) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))))) |
(fma.f64 y (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/2 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64)) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) (neg.f64 y)))) (-.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))) (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)))))) (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) y)) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)))))) (-.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))))) |
(-.f64 #s(literal 1 binary64) (log1p.f64 y)) |
| Outputs |
|---|
(+.f64 #s(literal 1 binary64) x) |
6 calls:
| 26.0ms | y |
| 12.0ms | (-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) |
| 7.0ms | x |
| 7.0ms | (/.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 |
|---|---|---|
| 48.6% | 1 | x |
| 48.6% | 1 | y |
| 48.6% | 1 | (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))) |
| 48.6% | 1 | (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) |
| 48.6% | 1 | (-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) |
| 48.6% | 1 | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
Compiled 52 to 34 computations (34.6% saved)
Total -28.8b remaining (-87.4%)
Threshold costs -28.8b (-87.4%)
| Inputs |
|---|
#s(literal 1 binary64) |
(neg.f64 y) |
| Outputs |
|---|
#s(literal 1 binary64) |
6 calls:
| 2.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| 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 | x |
| 1.0ms | (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 48.5% | 1 | x |
| 48.5% | 1 | (-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) |
| 48.5% | 1 | (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))) |
| 48.5% | 1 | (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) |
| 48.5% | 1 | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| 48.5% | 1 | y |
Compiled 52 to 34 computations (34.6% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.7924524732647604 | 0.8265618615674368 |
Compiled 17 to 15 computations (11.8% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.7924524732647604 | 0.8265618615674368 |
Compiled 17 to 15 computations (11.8% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.999999839644499 | 1.0 |
Compiled 17 to 15 computations (11.8% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 14.0ms | 1.8673724305809446e-14 | 1.9817390636262964e-10 |
| 20.0ms | -3.8181735322515387 | -0.10993521548597752 |
| 16.0ms | 240× | 0 | valid |
| 1.0ms | 17× | 0 | invalid |
Compiled 332 to 269 computations (19% saved)
ival-sub: 5.0ms (45.3% of total)ival-log: 4.0ms (36.3% of total)ival-div: 2.0ms (18.1% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 17.0ms | 1.8673724305809446e-14 | 1.9817390636262964e-10 |
| 14.0ms | -3.8181735322515387 | -0.10993521548597752 |
| 19.0ms | 240× | 0 | valid |
| 2.0ms | 28× | 0 | invalid |
Compiled 311 to 255 computations (18% saved)
ival-sub: 5.0ms (44.2% of total)ival-log: 4.0ms (35.4% of total)ival-div: 2.0ms (17.7% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 42.0ms | 0.00010876414819344488 | 134340.66919812502 |
| 253.0ms | -3.8181735322515387 | -0.10993521548597752 |
| 256.0ms | 256× | 0 | valid |
| 18.0ms | 300× | 0 | invalid |
Compiled 314 to 254 computations (19.1% saved)
ival-log: 245.0ms (93.8% of total)ival-sub: 11.0ms (4.2% of total)ival-div: 4.0ms (1.5% 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 | 0.20754752673523957 | 0.49083737227608015 |
Compiled 17 to 15 computations (11.8% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.000000000000174 | 622.0801039574625 |
| 0.0ms | 0.20754752673523957 | 0.49083737227608015 |
Compiled 17 to 15 computations (11.8% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.5091626277239198 | 0.7924524732647604 |
Compiled 17 to 15 computations (11.8% saved)
| 1× | egg-herbie |
| 270× | unsub-neg_binary64 |
| 142× | neg-mul-1_binary64 |
| 118× | distribute-lft-neg-in_binary64 |
| 94× | sub-neg_binary64 |
| 92× | +-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 70 | 278 |
| 1 | 106 | 278 |
| 2 | 144 | 278 |
| 3 | 174 | 278 |
| 4 | 208 | 278 |
| 5 | 247 | 278 |
| 6 | 284 | 278 |
| 7 | 398 | 278 |
| 8 | 550 | 278 |
| 9 | 623 | 278 |
| 10 | 671 | 278 |
| 11 | 703 | 278 |
| 12 | 721 | 278 |
| 13 | 726 | 278 |
| 14 | 728 | 278 |
| 15 | 731 | 278 |
| 16 | 736 | 278 |
| 17 | 737 | 278 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 3602879701896397/4503599627370496 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) (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 3602879701896397/4503599627370496 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) (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 9007197810387043/9007199254740992 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) (log.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y)))) |
(if (<=.f64 y #s(literal -7/4 binary64)) (-.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y))) (if (<=.f64 y #s(literal 3771848557197643/19342813113834066795298816 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 x))) (-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))))))) |
(if (<=.f64 y #s(literal -4278419646001971/1125899906842624 binary64)) (+.f64 (log.f64 (neg.f64 y)) #s(literal 1 binary64)) (if (<=.f64 y #s(literal 3771848557197643/19342813113834066795298816 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 x))) (-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))))))) |
(if (<=.f64 y #s(literal -4278419646001971/1125899906842624 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 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) #s(literal 3602879701896397/9007199254740992 binary64)) (+.f64 (log.f64 (neg.f64 y)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x)))) |
(if (<=.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) #s(literal 3602879701896397/9007199254740992 binary64)) (+.f64 (log.f64 (neg.f64 y)) #s(literal 1 binary64)) (if (<=.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 x y)) (-.f64 #s(literal 1 binary64) (log.f64 (neg.f64 x))))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 5404319552844595/9007199254740992 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 3602879701896397/4503599627370496 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) (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 3602879701896397/4503599627370496 binary64)) (-.f64 #s(literal 1 binary64) (log.f64 (+.f64 #s(literal 1 binary64) (/.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 3602879701896397/4503599627370496 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) (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 3602879701896397/4503599627370496 binary64)) (-.f64 #s(literal 1 binary64) (log.f64 (+.f64 #s(literal 1 binary64) (/.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 9007197810387043/9007199254740992 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) (log.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y)))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 9007197810387043/9007199254740992 binary64)) (-.f64 #s(literal 1 binary64) (log.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))))) (-.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y)))) |
(if (<=.f64 y #s(literal -7/4 binary64)) (-.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y))) (if (<=.f64 y #s(literal 3771848557197643/19342813113834066795298816 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 x))) (-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))))))) |
(if (<=.f64 y #s(literal -7/4 binary64)) (-.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y))) (if (<=.f64 y #s(literal 3771848557197643/19342813113834066795298816 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 x))) (-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))))))) |
(if (<=.f64 y #s(literal -4278419646001971/1125899906842624 binary64)) (+.f64 (log.f64 (neg.f64 y)) #s(literal 1 binary64)) (if (<=.f64 y #s(literal 3771848557197643/19342813113834066795298816 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 x))) (-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))))))) |
(if (<=.f64 y #s(literal -4278419646001971/1125899906842624 binary64)) (+.f64 #s(literal 1 binary64) (log.f64 (neg.f64 y))) (if (<=.f64 y #s(literal 3771848557197643/19342813113834066795298816 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 x))) (-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))))))) |
(if (<=.f64 y #s(literal -4278419646001971/1125899906842624 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 -4278419646001971/1125899906842624 binary64)) (+.f64 #s(literal 1 binary64) (log.f64 (neg.f64 y))) (if (<=.f64 y #s(literal 1 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 x))) (-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x y))))) |
(if (<=.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) #s(literal 3602879701896397/9007199254740992 binary64)) (+.f64 (log.f64 (neg.f64 y)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x)))) |
(if (<=.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) #s(literal 3602879701896397/9007199254740992 binary64)) (+.f64 #s(literal 1 binary64) (log.f64 (neg.f64 y))) (-.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x)))) |
(if (<=.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) #s(literal 3602879701896397/9007199254740992 binary64)) (+.f64 (log.f64 (neg.f64 y)) #s(literal 1 binary64)) (if (<=.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 x y)) (-.f64 #s(literal 1 binary64) (log.f64 (neg.f64 x))))) |
(if (<=.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) #s(literal 3602879701896397/9007199254740992 binary64)) (+.f64 #s(literal 1 binary64) (log.f64 (neg.f64 y))) (if (<=.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) #s(literal 2 binary64)) (+.f64 (-.f64 x y) #s(literal 1 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 5404319552844595/9007199254740992 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 5404319552844595/9007199254740992 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) |
| 9 114× | accelerator-lowering-fma.f32 |
| 9 114× | accelerator-lowering-fma.f64 |
| 8 190× | accelerator-lowering-fma.f32 |
| 8 190× | accelerator-lowering-fma.f64 |
| 6 656× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 205 | 1368 |
| 1 | 622 | 1320 |
| 2 | 1884 | 1297 |
| 3 | 6271 | 1274 |
| 0 | 8220 | 1195 |
| 0 | 432 | 2626 |
| 1 | 1404 | 2020 |
| 2 | 4890 | 1789 |
| 0 | 8558 | 1696 |
| 0 | 485 | 4444 |
| 1 | 1503 | 4159 |
| 2 | 4612 | 4043 |
| 0 | 8602 | 3934 |
| 0 | 28 | 105 |
| 1 | 199 | 104 |
| 2 | 1805 | 104 |
| 0 | 8406 | 87 |
| 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 |
Compiled 532 to 276 computations (48.1% saved)
Compiled 698 to 208 computations (70.2% saved)
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