
Time bar (total: 8.6s)
| 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)
| 904.0ms | 5 928× | 0 | valid |
| 498.0ms | 2 328× | 1 | valid |
| 192.0ms | 1 031× | 1 | invalid |
| 120.0ms | 1 610× | 0 | invalid |
ival-sub: 491.0ms (41.1% of total)ival-log: 352.0ms (29.5% of total)ival-div: 231.0ms (19.3% of total)adjust: 99.0ms (8.3% of total)ival-true: 9.0ms (0.8% of total)exact: 6.0ms (0.5% of total)ival-assert: 5.0ms (0.4% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 108 | 0 | - | 0 | - | (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))) |
| 76 | 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 | 108 | 0 |
-.f64 | (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) | cancellation | 76 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 76 | 0 |
| - | 108 | 72 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 76 | 0 | 0 |
| - | 108 | 0 | 72 |
| number | freq |
|---|---|
| 0 | 72 |
| 1 | 184 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 86.0ms | 312× | 1 | valid |
| 80.0ms | 162× | 0 | valid |
| 14.0ms | 38× | 2 | valid |
Compiled 110 to 31 computations (71.8% saved)
ival-sub: 81.0ms (66.3% of total)ival-log: 23.0ms (18.8% of total)adjust: 10.0ms (8.2% of total)ival-div: 6.0ms (4.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | egg-herbie |
| 540× | lower-fma.f64 |
| 540× | lower-fma.f32 |
| 356× | sub-neg |
| 332× | times-frac |
| 296× | div-sub |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 68 |
| 1 | 64 | 62 |
| 2 | 172 | 60 |
| 3 | 430 | 60 |
| 4 | 967 | 60 |
| 5 | 1883 | 60 |
| 6 | 2365 | 60 |
| 7 | 2526 | 60 |
| 8 | 2571 | 60 |
| 9 | 2585 | 60 |
| 10 | 2585 | 60 |
| 0 | 9 | 12 |
| 0 | 15 | 12 |
| 1 | 27 | 12 |
| 2 | 46 | 12 |
| 3 | 97 | 12 |
| 4 | 222 | 12 |
| 5 | 453 | 12 |
| 6 | 801 | 12 |
| 7 | 985 | 12 |
| 8 | 1028 | 12 |
| 9 | 1057 | 12 |
| 0 | 1057 | 10 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) |
| Outputs |
|---|
(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) |
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y)))) |
Compiled 12 to 9 computations (25% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 72.2% | (-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) |
Compiled 12 to 9 computations (25% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) | |
| cost-diff | 192 | (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))) |
| 540× | lower-fma.f64 |
| 540× | lower-fma.f32 |
| 232× | lower-*.f64 |
| 232× | lower-*.f32 |
| 176× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 47 |
| 0 | 15 | 47 |
| 1 | 27 | 47 |
| 2 | 46 | 47 |
| 3 | 97 | 47 |
| 4 | 222 | 47 |
| 5 | 453 | 47 |
| 6 | 801 | 47 |
| 7 | 985 | 47 |
| 8 | 1028 | 47 |
| 9 | 1057 | 47 |
| 0 | 1057 | 43 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) |
#s(literal 1 binary64) |
(log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) |
(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
(-.f64 x y) |
x |
y |
(-.f64 #s(literal 1 binary64) y) |
| Outputs |
|---|
(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) |
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y)))) |
#s(literal 1 binary64) |
(log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))) |
(log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) |
(-.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64)) |
(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
(/.f64 (-.f64 y x) (-.f64 y #s(literal 1 binary64))) |
(-.f64 x y) |
x |
y |
(-.f64 #s(literal 1 binary64) y) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.00390625 | (-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) | |
| accuracy | 0.02734375 | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) | |
| accuracy | 17.432791479181084 | (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) | |
| accuracy | 24.738258223599747 | (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))) |
| 30.0ms | 156× | 1 | valid |
| 8.0ms | 19× | 2 | valid |
| 7.0ms | 81× | 0 | valid |
Compiled 49 to 11 computations (77.6% saved)
ival-log: 14.0ms (40.8% of total)ival-sub: 11.0ms (32.1% of total)adjust: 5.0ms (14.6% of total)ival-div: 3.0ms (8.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))) (patch (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) (patch (-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) (patch (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (log (- 1 x)) (taylor 0 y) (#s(alt (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))) (patch (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (log (- 1 x)) (* y (+ (* -1 (/ x (- 1 x))) (/ 1 (- 1 x))))) (taylor 0 y) (#s(alt (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))) (patch (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))) #<representation binary64>) () ())) ()) |
#s(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)))))) (taylor 0 y) (#s(alt (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))) (patch (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))) #<representation binary64>) () ())) ()) |
#s(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)))))) (taylor 0 y) (#s(alt (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))) (patch (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))) #<representation binary64>) () ())) ()) |
#s(alt (- 1 (log (- 1 x))) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) (patch (-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (* -1 (* y (+ (* -1 (/ x (- 1 x))) (/ 1 (- 1 x)))))) (log (- 1 x))) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) (patch (-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) #<representation binary64>) () ())) ()) |
#s(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))) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) (patch (-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) #<representation binary64>) () ())) ()) |
#s(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))) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) (patch (-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) #<representation binary64>) () ())) ()) |
#s(alt (- 1 x) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) (patch (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (* y (+ 1 (* -1 x)))) x) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) (patch (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (* y (+ 1 (+ (* -1 x) (* y (+ 1 (* -1 x))))))) x) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) (patch (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (* y (+ 1 (+ (* -1 x) (* y (+ 1 (+ (* -1 x) (* y (+ 1 (* -1 x)))))))))) x) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) (patch (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* y (+ 1 (* -1 x))))) (taylor 0 y) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) (taylor 0 y) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) (taylor 0 y) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (log (neg (+ 1 (* -1 x)))) (log (/ 1 y))) (taylor inf y) (#s(alt (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))) (patch (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (log (neg (+ 1 (* -1 x)))) (+ (log (/ 1 y)) (* -1 (/ (- x 1) (* y (+ 1 (* -1 x))))))) (taylor inf y) (#s(alt (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))) (patch (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))) #<representation binary64>) () ())) ()) |
#s(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)))))) (taylor inf y) (#s(alt (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))) (patch (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))) #<representation binary64>) () ())) ()) |
#s(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))))))) (taylor inf y) (#s(alt (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))) (patch (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))) #<representation binary64>) () ())) ()) |
#s(alt (- 1 (+ (log (neg (+ 1 (* -1 x)))) (log (/ 1 y)))) (taylor inf y) (#s(alt (-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) (patch (-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (/ x (* y (+ 1 (* -1 x))))) (+ (log (neg (+ 1 (* -1 x)))) (+ (log (/ 1 y)) (/ 1 (* y (+ 1 (* -1 x))))))) (taylor inf y) (#s(alt (-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) (patch (-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) #<representation binary64>) () ())) ()) |
#s(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)))))))) (taylor inf y) (#s(alt (-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) (patch (-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) #<representation binary64>) () ())) ()) |
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#s(alt (* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) (taylor inf x) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) (taylor inf x) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) (taylor inf x) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (log (/ 1 (- 1 y))) (* -1 (log (/ -1 x)))) (taylor -inf x) (#s(alt (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))) (patch (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (log (/ 1 (- 1 y))) (+ (* -1 (log (/ -1 x))) (* -1 (/ (* (- 1 y) (- 1 (* -1 (/ y (- 1 y))))) x)))) (taylor -inf x) (#s(alt (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))) (patch (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))) #<representation binary64>) () ())) ()) |
#s(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)))) (taylor -inf x) (#s(alt (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))) (patch (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))) #<representation binary64>) () ())) ()) |
#s(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)))) (taylor -inf x) (#s(alt (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))) (patch (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))) #<representation binary64>) () ())) ()) |
#s(alt (- 1 (+ (log (/ 1 (- 1 y))) (* -1 (log (/ -1 x))))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) (patch (-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (/ (* (- 1 y) (- 1 (* -1 (/ y (- 1 y))))) x)) (+ (log (/ 1 (- 1 y))) (* -1 (log (/ -1 x))))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) (patch (-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) #<representation binary64>) () ())) ()) |
#s(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))))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) (patch (-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) #<representation binary64>) () ())) ()) |
#s(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))))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) (patch (-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ x (- 1 y))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) (patch (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (/ (- 1 (* -1 (/ y (- 1 y)))) x)) (/ 1 (- 1 y))))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) (patch (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (/ (- 1 (* -1 (/ y (- 1 y)))) x)) (/ 1 (- 1 y))))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) (patch (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (/ (- 1 (* -1 (/ y (- 1 y)))) x)) (/ 1 (- 1 y))))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) (patch (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (- 1 y)) (taylor -inf x) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) (taylor -inf x) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) (taylor -inf x) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) (taylor -inf x) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | -inf | ((log (- 1 (/ (- x y) (- 1 y)))) (- 1 (log (- 1 (/ (- x y) (- 1 y))))) (- 1 (/ (- x y) (- 1 y))) (/ (- x y) (- 1 y))) |
| 2.0ms | y | @ | inf | ((log (- 1 (/ (- x y) (- 1 y)))) (- 1 (log (- 1 (/ (- x y) (- 1 y))))) (- 1 (/ (- x y) (- 1 y))) (/ (- x y) (- 1 y))) |
| 2.0ms | x | @ | 0 | ((log (- 1 (/ (- x y) (- 1 y)))) (- 1 (log (- 1 (/ (- x y) (- 1 y))))) (- 1 (/ (- x y) (- 1 y))) (/ (- x y) (- 1 y))) |
| 2.0ms | y | @ | -inf | ((log (- 1 (/ (- x y) (- 1 y)))) (- 1 (log (- 1 (/ (- x y) (- 1 y))))) (- 1 (/ (- x y) (- 1 y))) (/ (- x y) (- 1 y))) |
| 2.0ms | x | @ | inf | ((log (- 1 (/ (- x y) (- 1 y)))) (- 1 (log (- 1 (/ (- x y) (- 1 y))))) (- 1 (/ (- x y) (- 1 y))) (/ (- x y) (- 1 y))) |
| 1× | egg-herbie |
| 6 656× | lower-fma.f64 |
| 6 656× | lower-fma.f32 |
| 3 954× | lower-+.f64 |
| 3 954× | lower-+.f32 |
| 2 636× | lower--.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 432 | 2626 |
| 1 | 1404 | 2020 |
| 2 | 4892 | 1789 |
| 0 | 8556 | 1696 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(log (- 1 x)) |
(+ (log (- 1 x)) (* y (+ (* -1 (/ x (- 1 x))) (/ 1 (- 1 x))))) |
(+ (log (- 1 x)) (* y (+ (* -1 (/ x (- 1 x))) (+ (* 1/2 (* y (+ (* -1 (/ (pow (+ 1 (* -1 x)) 2) (pow (- 1 x) 2))) (* 2 (/ (+ 1 (* -1 x)) (- 1 x)))))) (/ 1 (- 1 x)))))) |
(+ (log (- 1 x)) (* y (+ (* -1 (/ x (- 1 x))) (+ (* y (+ (* 1/6 (* y (+ (* -6 (/ (pow (+ 1 (* -1 x)) 2) (pow (- 1 x) 2))) (+ (* 2 (/ (pow (+ 1 (* -1 x)) 3) (pow (- 1 x) 3))) (* 6 (/ (+ 1 (* -1 x)) (- 1 x))))))) (* 1/2 (+ (* -1 (/ (pow (+ 1 (* -1 x)) 2) (pow (- 1 x) 2))) (* 2 (/ (+ 1 (* -1 x)) (- 1 x))))))) (/ 1 (- 1 x)))))) |
(- 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 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) |
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))))) |
(+ (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))))))) |
(- 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 (/ (+ 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 (+ (* -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)))) |
(+ (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 x)) (log (/ -1 y)))) |
(- (+ 1 (* -1 (/ (- (/ 1 (- 1 x)) (/ x (- 1 x))) y))) (+ (log (- 1 x)) (log (/ -1 y)))) |
(- (+ 1 (* -1 (/ (- (+ (* 1/2 (/ (+ (* -1 (/ (pow (- x 1) 2) (pow (- 1 x) 2))) (* 2 (/ (+ 1 (* -1 x)) (- 1 x)))) y)) (/ 1 (- 1 x))) (/ x (- 1 x))) y))) (+ (log (- 1 x)) (log (/ -1 y)))) |
(- (+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* 1/6 (/ (+ (* -6 (/ (* (+ 1 (* -1 x)) (- x 1)) (pow (- 1 x) 2))) (+ (* 2 (/ (pow (- x 1) 3) (pow (- 1 x) 3))) (* 6 (/ (- x 1) (- 1 x))))) y)) (* 1/2 (+ (* -1 (/ (pow (- x 1) 2) (pow (- 1 x) 2))) (* 2 (/ (+ 1 (* -1 x)) (- 1 x)))))) y)) (/ 1 (- 1 x))) (/ x (- 1 x))) y))) (+ (log (- 1 x)) (log (/ -1 y)))) |
(* -1 (/ (- 1 x) 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 |
(+ 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))) |
(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)))))) |
(- 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 (/ 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 (/ y (- 1 y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 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))))))) |
(- 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 (/ 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)))) |
(/ 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)))) |
(+ (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)))) |
(- 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 (/ 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))))) |
(/ 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))))) |
| Outputs |
|---|
(log (- 1 x)) |
(log1p.f64 (neg.f64 x)) |
(+ (log (- 1 x)) (* y (+ (* -1 (/ x (- 1 x))) (/ 1 (- 1 x))))) |
(+.f64 y (log1p.f64 (neg.f64 x))) |
(+ (log (- 1 x)) (* y (+ (* -1 (/ x (- 1 x))) (+ (* 1/2 (* y (+ (* -1 (/ (pow (+ 1 (* -1 x)) 2) (pow (- 1 x) 2))) (* 2 (/ (+ 1 (* -1 x)) (- 1 x)))))) (/ 1 (- 1 x)))))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y (log1p.f64 (neg.f64 x))) |
(+ (log (- 1 x)) (* y (+ (* -1 (/ x (- 1 x))) (+ (* y (+ (* 1/6 (* y (+ (* -6 (/ (pow (+ 1 (* -1 x)) 2) (pow (- 1 x) 2))) (+ (* 2 (/ (pow (+ 1 (* -1 x)) 3) (pow (- 1 x) 3))) (* 6 (/ (+ 1 (* -1 x)) (- 1 x))))))) (* 1/2 (+ (* -1 (/ (pow (+ 1 (* -1 x)) 2) (pow (- 1 x) 2))) (* 2 (/ (+ 1 (* -1 x)) (- 1 x))))))) (/ 1 (- 1 x)))))) |
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(- 1 (+ (log (neg (/ 1 (- 1 y)))) (* -1 (log (/ 1 x))))) |
(-.f64 #s(literal 1 binary64) (-.f64 (log.f64 x) (log.f64 (+.f64 #s(literal -1 binary64) y)))) |
(- (+ 1 (/ (* (+ 1 (/ y (- 1 y))) (- 1 y)) x)) (+ (log (neg (/ 1 (- 1 y)))) (* -1 (log (/ 1 x))))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) x) (+.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (-.f64 (log.f64 x) (log.f64 (+.f64 #s(literal -1 binary64) y))))) |
(- (+ 1 (* 1/2 (/ (* (pow (+ 1 (/ y (- 1 y))) 2) (pow (- 1 y) 2)) (pow x 2)))) (+ (log (neg (/ 1 (- 1 y)))) (+ (* -1 (log (/ 1 x))) (* -1 (/ (* (+ 1 (/ y (- 1 y))) (- 1 y)) x))))) |
(+.f64 (+.f64 (-.f64 (log.f64 (+.f64 #s(literal -1 binary64) y)) (log.f64 x)) (/.f64 (fma.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (+.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) #s(literal 2 binary64)) x) (*.f64 (+.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) y))) x)) #s(literal 1 binary64)) |
(- (+ 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))))))) |
(fma.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (+.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) #s(literal 3 binary64))) (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) x) #s(literal 3 binary64)) (+.f64 (+.f64 (-.f64 (log.f64 (+.f64 #s(literal -1 binary64) y)) (log.f64 x)) (/.f64 (fma.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (+.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) #s(literal 2 binary64)) x) (*.f64 (+.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) y))) x)) #s(literal 1 binary64))) |
(* -1 (/ x (- 1 y))) |
(/.f64 x (+.f64 #s(literal -1 binary64) y)) |
(* x (- (+ (/ 1 x) (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(fma.f64 (/.f64 (+.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) x) x (/.f64 x (+.f64 #s(literal -1 binary64) y))) |
(* x (- (+ (/ 1 x) (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(fma.f64 (/.f64 (+.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) x) x (/.f64 x (+.f64 #s(literal -1 binary64) y))) |
(* x (- (+ (/ 1 x) (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(fma.f64 (/.f64 (+.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) x) x (/.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 (/.f64 (/.f64 y x) (+.f64 #s(literal -1 binary64) y)) x (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(fma.f64 (/.f64 (/.f64 y x) (+.f64 #s(literal -1 binary64) y)) x (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(fma.f64 (/.f64 (/.f64 y x) (+.f64 #s(literal -1 binary64) y)) x (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
(+ (log (/ 1 (- 1 y))) (* -1 (log (/ -1 x)))) |
(-.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))) (log1p.f64 (neg.f64 y))) |
(+ (log (/ 1 (- 1 y))) (+ (* -1 (log (/ -1 x))) (* -1 (/ (* (- 1 y) (- 1 (* -1 (/ y (- 1 y))))) x)))) |
(fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y))) x) (-.f64 #s(literal 1 binary64) y) (-.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))) (log1p.f64 (neg.f64 y)))) |
(+ (log (/ 1 (- 1 y))) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* 1/2 (/ (* (pow (- 1 y) 2) (pow (- 1 (* -1 (/ y (- 1 y)))) 2)) x)) (* (- 1 y) (- 1 (* -1 (/ y (- 1 y)))))) x)))) |
(-.f64 (-.f64 (/.f64 (fma.f64 (-.f64 #s(literal -1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y))) (-.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (+.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) #s(literal 2 binary64)) x))) x) (log1p.f64 (neg.f64 y))) (log.f64 (/.f64 #s(literal -1 binary64) 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)))) |
(-.f64 (/.f64 (fma.f64 (-.f64 #s(literal -1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y))) (-.f64 #s(literal 1 binary64) y) (/.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64))) (/.f64 (pow.f64 (+.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) #s(literal 3 binary64)) x) (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)))) x)) x) (+.f64 (log1p.f64 (neg.f64 y)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) |
(- 1 (+ (log (/ 1 (- 1 y))) (* -1 (log (/ -1 x))))) |
(+.f64 (+.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (log1p.f64 (neg.f64 y))) |
(- (+ 1 (/ (* (- 1 y) (- 1 (* -1 (/ y (- 1 y))))) x)) (+ (log (/ 1 (- 1 y))) (* -1 (log (/ -1 x))))) |
(+.f64 (+.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) x) (+.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) #s(literal 1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (log1p.f64 (neg.f64 y))) |
(- (+ 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))))) |
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (log1p.f64 (neg.f64 y))) (/.f64 (fma.f64 (-.f64 #s(literal -1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y))) (-.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (+.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) #s(literal 2 binary64)) x))) 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))))) |
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (log1p.f64 (neg.f64 y))) (/.f64 (fma.f64 (-.f64 #s(literal -1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y))) (-.f64 #s(literal 1 binary64) y) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64))) (/.f64 (pow.f64 (+.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) #s(literal 3 binary64)) x))) (neg.f64 x))) x)) |
(* -1 (/ x (- 1 y))) |
(/.f64 x (+.f64 #s(literal -1 binary64) y)) |
(* -1 (* x (+ (* -1 (/ (- 1 (* -1 (/ y (- 1 y)))) x)) (/ 1 (- 1 y))))) |
(fma.f64 (/.f64 (+.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) x) x (/.f64 x (+.f64 #s(literal -1 binary64) y))) |
(* -1 (* x (+ (* -1 (/ (- 1 (* -1 (/ y (- 1 y)))) x)) (/ 1 (- 1 y))))) |
(fma.f64 (/.f64 (+.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) x) x (/.f64 x (+.f64 #s(literal -1 binary64) y))) |
(* -1 (* x (+ (* -1 (/ (- 1 (* -1 (/ y (- 1 y)))) x)) (/ 1 (- 1 y))))) |
(fma.f64 (/.f64 (+.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) x) x (/.f64 x (+.f64 #s(literal -1 binary64) y))) |
(/ x (- 1 y)) |
(/.f64 x (-.f64 #s(literal 1 binary64) y)) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(fma.f64 (/.f64 (/.f64 y x) (+.f64 #s(literal -1 binary64) y)) x (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(fma.f64 (/.f64 (/.f64 y x) (+.f64 #s(literal -1 binary64) y)) x (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(fma.f64 (/.f64 (/.f64 y x) (+.f64 #s(literal -1 binary64) y)) x (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
| 4 848× | lower-fma.f64 |
| 4 848× | lower-fma.f32 |
| 4 138× | lower-*.f64 |
| 4 138× | lower-*.f32 |
| 3 436× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 38 |
| 0 | 15 | 38 |
| 1 | 77 | 38 |
| 2 | 662 | 38 |
| 0 | 8723 | 34 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))) |
(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) |
(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| Outputs |
|---|
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Compiled 10 002 to 1 608 computations (83.9% saved)
11 alts after pruning (11 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 345 | 11 | 356 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 346 | 11 | 357 |
| Status | Accuracy | Program |
|---|---|---|
| 71.2% | (-.f64 (pow.f64 (+.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)) (+.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)))) | |
| ▶ | 73.7% | (-.f64 #s(literal 1 binary64) (log.f64 (fma.f64 (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 x y) #s(literal 1 binary64)))) |
| 72.2% | (-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 y x)))))) | |
| 2.5% | (-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64))))) | |
| 43.1% | (-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 (-.f64 x (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) y)) x) y)) #s(literal 1 binary64)) y)))) | |
| ▶ | 42.2% | (-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 (-.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) #s(literal 1 binary64)) y)))) |
| 42.8% | (-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 x #s(literal 1 binary64)) y)))) | |
| ▶ | 39.4% | (-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 x (+.f64 #s(literal -1 binary64) y))))) |
| ▶ | 57.8% | (-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (+.f64 y (log1p.f64 (neg.f64 x))))) |
| 44.2% | (-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y))))) | |
| ▶ | 60.7% | (-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 (neg.f64 x)))) |
Compiled 290 to 212 computations (26.9% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 (-.f64 (-.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) #s(literal 1 binary64)) y) | |
| cost-diff | 0 | #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 (-.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) #s(literal 1 binary64)) y)) | |
| cost-diff | 0 | (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 (-.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) #s(literal 1 binary64)) y))) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 (-.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) #s(literal 1 binary64)) y)))) | |
| cost-diff | 0 | (/.f64 x (+.f64 #s(literal -1 binary64) y)) | |
| cost-diff | 0 | #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 x (+.f64 #s(literal -1 binary64) y))) | |
| cost-diff | 0 | (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 x (+.f64 #s(literal -1 binary64) y)))) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 x (+.f64 #s(literal -1 binary64) y))))) | |
| cost-diff | 0 | (log1p.f64 (neg.f64 x)) | |
| cost-diff | 0 | (+.f64 y (log1p.f64 (neg.f64 x))) | |
| cost-diff | 0 | #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (+.f64 y (log1p.f64 (neg.f64 x)))) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (+.f64 y (log1p.f64 (neg.f64 x))))) | |
| cost-diff | 0 | (neg.f64 x) | |
| cost-diff | 0 | (log1p.f64 (neg.f64 x)) | |
| cost-diff | 0 | #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 (neg.f64 x))) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 (neg.f64 x)))) | |
| cost-diff | 0 | (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) (log.f64 (fma.f64 (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 x y) #s(literal 1 binary64)))) | |
| cost-diff | 192 | (log.f64 (fma.f64 (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 x y) #s(literal 1 binary64))) | |
| cost-diff | 5952 | (fma.f64 (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 x y) #s(literal 1 binary64)) |
| 3 956× | lower-fma.f32 |
| 3 954× | lower-fma.f64 |
| 1 064× | lower-*.f64 |
| 1 064× | lower-*.f32 |
| 974× | div-sub |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 299 |
| 0 | 59 | 299 |
| 1 | 101 | 299 |
| 2 | 174 | 296 |
| 3 | 356 | 296 |
| 4 | 842 | 296 |
| 5 | 2043 | 296 |
| 6 | 3845 | 296 |
| 7 | 4270 | 296 |
| 8 | 4356 | 296 |
| 9 | 4362 | 296 |
| 10 | 4364 | 296 |
| 11 | 4364 | 296 |
| 12 | 4705 | 296 |
| 13 | 4841 | 296 |
| 14 | 4841 | 296 |
| 0 | 4841 | 284 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 #s(literal 1 binary64) (log.f64 (fma.f64 (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 x y) #s(literal 1 binary64)))) |
#s(literal 1 binary64) |
(log.f64 (fma.f64 (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 x y) #s(literal 1 binary64))) |
(fma.f64 (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 x y) #s(literal 1 binary64)) |
(pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) |
(-.f64 y #s(literal 1 binary64)) |
y |
#s(literal -1 binary64) |
(-.f64 x y) |
x |
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 (neg.f64 x)))) |
#s(literal 1 binary64) |
#s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 (neg.f64 x))) |
(log1p.f64 (neg.f64 x)) |
(neg.f64 x) |
x |
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (+.f64 y (log1p.f64 (neg.f64 x))))) |
#s(literal 1 binary64) |
#s(approx (log (- 1 (/ (- x y) (- 1 y)))) (+.f64 y (log1p.f64 (neg.f64 x)))) |
(+.f64 y (log1p.f64 (neg.f64 x))) |
y |
(log1p.f64 (neg.f64 x)) |
(neg.f64 x) |
x |
(-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 x (+.f64 #s(literal -1 binary64) y))))) |
#s(literal 1 binary64) |
(log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 x (+.f64 #s(literal -1 binary64) y)))) |
#s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 x (+.f64 #s(literal -1 binary64) y))) |
(/.f64 x (+.f64 #s(literal -1 binary64) y)) |
x |
(+.f64 #s(literal -1 binary64) y) |
#s(literal -1 binary64) |
y |
(-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 (-.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) #s(literal 1 binary64)) y)))) |
#s(literal 1 binary64) |
(log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 (-.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) #s(literal 1 binary64)) y))) |
#s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 (-.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) #s(literal 1 binary64)) y)) |
(/.f64 (-.f64 (-.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) #s(literal 1 binary64)) y) |
(-.f64 (-.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) #s(literal 1 binary64)) |
(-.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
x |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(-.f64 #s(literal 1 binary64) x) |
y |
| Outputs |
|---|
(-.f64 #s(literal 1 binary64) (log.f64 (fma.f64 (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 x y) #s(literal 1 binary64)))) |
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y)))) |
#s(literal 1 binary64) |
(log.f64 (fma.f64 (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 x y) #s(literal 1 binary64))) |
(log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))) |
(fma.f64 (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 x y) #s(literal 1 binary64)) |
(-.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64)) |
(pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) |
(-.f64 y #s(literal 1 binary64)) |
y |
#s(literal -1 binary64) |
(-.f64 x y) |
x |
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 (neg.f64 x)))) |
#s(literal 1 binary64) |
#s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 (neg.f64 x))) |
(log1p.f64 (neg.f64 x)) |
(neg.f64 x) |
x |
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (+.f64 y (log1p.f64 (neg.f64 x))))) |
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (+.f64 (log1p.f64 (neg.f64 x)) y))) |
#s(literal 1 binary64) |
#s(approx (log (- 1 (/ (- x y) (- 1 y)))) (+.f64 y (log1p.f64 (neg.f64 x)))) |
#s(approx (log (- 1 (/ (- x y) (- 1 y)))) (+.f64 (log1p.f64 (neg.f64 x)) y)) |
(+.f64 y (log1p.f64 (neg.f64 x))) |
(+.f64 (log1p.f64 (neg.f64 x)) y) |
y |
(log1p.f64 (neg.f64 x)) |
(neg.f64 x) |
x |
(-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 x (+.f64 #s(literal -1 binary64) y))))) |
(-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 x (-.f64 y #s(literal 1 binary64)))))) |
#s(literal 1 binary64) |
(log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 x (+.f64 #s(literal -1 binary64) y)))) |
(log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 x (-.f64 y #s(literal 1 binary64))))) |
#s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 x (+.f64 #s(literal -1 binary64) y))) |
#s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 x (-.f64 y #s(literal 1 binary64)))) |
(/.f64 x (+.f64 #s(literal -1 binary64) y)) |
(/.f64 x (-.f64 y #s(literal 1 binary64))) |
x |
(+.f64 #s(literal -1 binary64) y) |
(-.f64 y #s(literal 1 binary64)) |
#s(literal -1 binary64) |
y |
(-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 (-.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) #s(literal 1 binary64)) y)))) |
#s(literal 1 binary64) |
(log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 (-.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) #s(literal 1 binary64)) y))) |
#s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 (-.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) #s(literal 1 binary64)) y)) |
(/.f64 (-.f64 (-.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) #s(literal 1 binary64)) y) |
(-.f64 (-.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) #s(literal 1 binary64)) |
(-.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
x |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(-.f64 #s(literal 1 binary64) x) |
y |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0078125 | (-.f64 (-.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) #s(literal 1 binary64)) | |
| accuracy | 0.09375 | (/.f64 (-.f64 (-.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) #s(literal 1 binary64)) y) | |
| accuracy | 24.738258223599747 | (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 (-.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) #s(literal 1 binary64)) y))) | |
| accuracy | 36.7839902420377 | #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 (-.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) #s(literal 1 binary64)) y)) | |
| accuracy | 0.00390625 | (-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 x (+.f64 #s(literal -1 binary64) y))))) | |
| accuracy | 0.02734375 | (/.f64 x (+.f64 #s(literal -1 binary64) y)) | |
| accuracy | 24.738258223599747 | (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 x (+.f64 #s(literal -1 binary64) y)))) | |
| accuracy | 39.867493257738566 | #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 x (+.f64 #s(literal -1 binary64) y))) | |
| accuracy | 0 | (log1p.f64 (neg.f64 x)) | |
| accuracy | 0.00390625 | (-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (+.f64 y (log1p.f64 (neg.f64 x))))) | |
| accuracy | 0.0078125 | (+.f64 y (log1p.f64 (neg.f64 x))) | |
| accuracy | 20.44850336578832 | #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (+.f64 y (log1p.f64 (neg.f64 x)))) | |
| accuracy | 0 | (neg.f64 x) | |
| accuracy | 0 | (log1p.f64 (neg.f64 x)) | |
| accuracy | 0.00390625 | (-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 (neg.f64 x)))) | |
| accuracy | 35.433012079793784 | #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 (neg.f64 x))) | |
| accuracy | 0.00390625 | (-.f64 #s(literal 1 binary64) (log.f64 (fma.f64 (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 x y) #s(literal 1 binary64)))) | |
| accuracy | 0.01171875 | (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) | |
| accuracy | 14.48991787354327 | (fma.f64 (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 x y) #s(literal 1 binary64)) | |
| accuracy | 24.738258223599747 | (log.f64 (fma.f64 (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 x y) #s(literal 1 binary64))) |
| 79.0ms | 143× | 1 | valid |
| 75.0ms | 67× | 0 | valid |
| 16.0ms | 19× | 2 | valid |
| 6.0ms | 27× | 0 | invalid |
Compiled 236 to 28 computations (88.1% saved)
ival-sub: 29.0ms (30.7% of total)adjust: 17.0ms (18% of total)ival-log: 11.0ms (11.6% of total)ival-div: 10.0ms (10.6% of total)ival-pow: 10.0ms (10.6% of total)ival-log1p: 7.0ms (7.4% of total)ival-add: 6.0ms (6.3% of total)ival-mult: 3.0ms (3.2% of total)ival-neg: 1.0ms (1.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (fma.f64 (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 x y) #s(literal 1 binary64)) (patch (fma.f64 (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 x y) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (log.f64 (fma.f64 (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 x y) #s(literal 1 binary64))) (patch (log.f64 (fma.f64 (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 x y) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 1 binary64) (log.f64 (fma.f64 (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 x y) #s(literal 1 binary64)))) (patch (-.f64 #s(literal 1 binary64) (log.f64 (fma.f64 (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 x y) #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) (patch (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 (neg.f64 x)))) (patch (-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 (neg.f64 x)))) #<representation binary64>) () ()) |
#s(alt #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 (neg.f64 x))) (patch #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 (neg.f64 x))) #<representation binary64>) () ()) |
#s(alt (log1p.f64 (neg.f64 x)) (patch (log1p.f64 (neg.f64 x)) #<representation binary64>) () ()) |
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (+.f64 y (log1p.f64 (neg.f64 x))))) (patch (-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (+.f64 y (log1p.f64 (neg.f64 x))))) #<representation binary64>) () ()) |
#s(alt #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (+.f64 y (log1p.f64 (neg.f64 x)))) (patch #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (+.f64 y (log1p.f64 (neg.f64 x)))) #<representation binary64>) () ()) |
#s(alt (+.f64 y (log1p.f64 (neg.f64 x))) (patch (+.f64 y (log1p.f64 (neg.f64 x))) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 x (+.f64 #s(literal -1 binary64) y))))) (patch (-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 x (+.f64 #s(literal -1 binary64) y))))) #<representation binary64>) () ()) |
#s(alt (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 x (+.f64 #s(literal -1 binary64) y)))) (patch (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 x (+.f64 #s(literal -1 binary64) y)))) #<representation binary64>) () ()) |
#s(alt #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 x (+.f64 #s(literal -1 binary64) y))) (patch #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 x (+.f64 #s(literal -1 binary64) y))) #<representation binary64>) () ()) |
#s(alt (/.f64 x (+.f64 #s(literal -1 binary64) y)) (patch (/.f64 x (+.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 (-.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) #s(literal 1 binary64)) y)))) (patch (-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 (-.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) #s(literal 1 binary64)) y)))) #<representation binary64>) () ()) |
#s(alt (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 (-.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) #s(literal 1 binary64)) y))) (patch (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 (-.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) #s(literal 1 binary64)) y))) #<representation binary64>) () ()) |
#s(alt #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 (-.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) #s(literal 1 binary64)) y)) (patch #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 (-.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) #s(literal 1 binary64)) y)) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 (-.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) #s(literal 1 binary64)) y) (patch (/.f64 (-.f64 (-.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) #s(literal 1 binary64)) y) #<representation binary64>) () ()) |
#s(alt (-.f64 (-.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) #s(literal 1 binary64)) (patch (-.f64 (-.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) #s(literal 1 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (+ 1 (* -1 x)) (taylor 0 y) (#s(alt (fma.f64 (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 x y) #s(literal 1 binary64)) (patch (fma.f64 (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 x y) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ (* -1 x) (* y (- 1 x)))) (taylor 0 y) (#s(alt (fma.f64 (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 x y) #s(literal 1 binary64)) (patch (fma.f64 (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 x y) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ (* -1 x) (* y (- (+ 1 (* y (- 1 x))) x)))) (taylor 0 y) (#s(alt (fma.f64 (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 x y) #s(literal 1 binary64)) (patch (fma.f64 (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 x y) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ (* -1 x) (* y (- (+ 1 (* y (- (+ 1 (* y (- 1 x))) x))) x)))) (taylor 0 y) (#s(alt (fma.f64 (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 x y) #s(literal 1 binary64)) (patch (fma.f64 (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 x y) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (log (+ 1 (* -1 x))) (taylor 0 y) (#s(alt (log.f64 (fma.f64 (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 x y) #s(literal 1 binary64))) (patch (log.f64 (fma.f64 (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 x y) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
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6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 11.0ms | x | @ | -inf | ((+ (* (pow (- y 1) -1) (- x y)) 1) (log (+ (* (pow (- y 1) -1) (- x y)) 1)) (- 1 (log (+ (* (pow (- y 1) -1) (- x y)) 1))) (pow (- y 1) -1) (- 1 (log (- 1 (/ (- x y) (- 1 y))))) (log (- 1 (/ (- x y) (- 1 y)))) (log (+ 1 (neg x))) (neg x) (- 1 (log (- 1 (/ (- x y) (- 1 y))))) (log (- 1 (/ (- x y) (- 1 y)))) (+ y (log (+ 1 (neg x)))) (- 1 (log (- 1 (/ (- x y) (- 1 y))))) (log (- 1 (/ (- x y) (- 1 y)))) (- 1 (/ (- x y) (- 1 y))) (/ x (+ -1 y)) (- 1 (log (- 1 (/ (- x y) (- 1 y))))) (log (- 1 (/ (- x y) (- 1 y)))) (- 1 (/ (- x y) (- 1 y))) (/ (- (- x (/ (- 1 x) y)) 1) y) (- (- x (/ (- 1 x) y)) 1)) |
| 8.0ms | y | @ | 0 | ((+ (* (pow (- y 1) -1) (- x y)) 1) (log (+ (* (pow (- y 1) -1) (- x y)) 1)) (- 1 (log (+ (* (pow (- y 1) -1) (- x y)) 1))) (pow (- y 1) -1) (- 1 (log (- 1 (/ (- x y) (- 1 y))))) (log (- 1 (/ (- x y) (- 1 y)))) (log (+ 1 (neg x))) (neg x) (- 1 (log (- 1 (/ (- x y) (- 1 y))))) (log (- 1 (/ (- x y) (- 1 y)))) (+ y (log (+ 1 (neg x)))) (- 1 (log (- 1 (/ (- x y) (- 1 y))))) (log (- 1 (/ (- x y) (- 1 y)))) (- 1 (/ (- x y) (- 1 y))) (/ x (+ -1 y)) (- 1 (log (- 1 (/ (- x y) (- 1 y))))) (log (- 1 (/ (- x y) (- 1 y)))) (- 1 (/ (- x y) (- 1 y))) (/ (- (- x (/ (- 1 x) y)) 1) y) (- (- x (/ (- 1 x) y)) 1)) |
| 7.0ms | y | @ | -inf | ((+ (* (pow (- y 1) -1) (- x y)) 1) (log (+ (* (pow (- y 1) -1) (- x y)) 1)) (- 1 (log (+ (* (pow (- y 1) -1) (- x y)) 1))) (pow (- y 1) -1) (- 1 (log (- 1 (/ (- x y) (- 1 y))))) (log (- 1 (/ (- x y) (- 1 y)))) (log (+ 1 (neg x))) (neg x) (- 1 (log (- 1 (/ (- x y) (- 1 y))))) (log (- 1 (/ (- x y) (- 1 y)))) (+ y (log (+ 1 (neg x)))) (- 1 (log (- 1 (/ (- x y) (- 1 y))))) (log (- 1 (/ (- x y) (- 1 y)))) (- 1 (/ (- x y) (- 1 y))) (/ x (+ -1 y)) (- 1 (log (- 1 (/ (- x y) (- 1 y))))) (log (- 1 (/ (- x y) (- 1 y)))) (- 1 (/ (- x y) (- 1 y))) (/ (- (- x (/ (- 1 x) y)) 1) y) (- (- x (/ (- 1 x) y)) 1)) |
| 5.0ms | y | @ | inf | ((+ (* (pow (- y 1) -1) (- x y)) 1) (log (+ (* (pow (- y 1) -1) (- x y)) 1)) (- 1 (log (+ (* (pow (- y 1) -1) (- x y)) 1))) (pow (- y 1) -1) (- 1 (log (- 1 (/ (- x y) (- 1 y))))) (log (- 1 (/ (- x y) (- 1 y)))) (log (+ 1 (neg x))) (neg x) (- 1 (log (- 1 (/ (- x y) (- 1 y))))) (log (- 1 (/ (- x y) (- 1 y)))) (+ y (log (+ 1 (neg x)))) (- 1 (log (- 1 (/ (- x y) (- 1 y))))) (log (- 1 (/ (- x y) (- 1 y)))) (- 1 (/ (- x y) (- 1 y))) (/ x (+ -1 y)) (- 1 (log (- 1 (/ (- x y) (- 1 y))))) (log (- 1 (/ (- x y) (- 1 y)))) (- 1 (/ (- x y) (- 1 y))) (/ (- (- x (/ (- 1 x) y)) 1) y) (- (- x (/ (- 1 x) y)) 1)) |
| 4.0ms | x | @ | inf | ((+ (* (pow (- y 1) -1) (- x y)) 1) (log (+ (* (pow (- y 1) -1) (- x y)) 1)) (- 1 (log (+ (* (pow (- y 1) -1) (- x y)) 1))) (pow (- y 1) -1) (- 1 (log (- 1 (/ (- x y) (- 1 y))))) (log (- 1 (/ (- x y) (- 1 y)))) (log (+ 1 (neg x))) (neg x) (- 1 (log (- 1 (/ (- x y) (- 1 y))))) (log (- 1 (/ (- x y) (- 1 y)))) (+ y (log (+ 1 (neg x)))) (- 1 (log (- 1 (/ (- x y) (- 1 y))))) (log (- 1 (/ (- x y) (- 1 y)))) (- 1 (/ (- x y) (- 1 y))) (/ x (+ -1 y)) (- 1 (log (- 1 (/ (- x y) (- 1 y))))) (log (- 1 (/ (- x y) (- 1 y)))) (- 1 (/ (- x y) (- 1 y))) (/ (- (- x (/ (- 1 x) y)) 1) y) (- (- x (/ (- 1 x) y)) 1)) |
| 1× | egg-herbie |
| 6 968× | lower-fma.f64 |
| 6 968× | lower-fma.f32 |
| 4 110× | lower-+.f64 |
| 4 110× | lower-+.f32 |
| 3 204× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 877 | 11831 |
| 1 | 2884 | 8287 |
| 0 | 9469 | 7866 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
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(- 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))))))) |
(+ (log (neg (/ 1 (- 1 y)))) (* -1 (log (/ 1 x)))) |
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(+ (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))))))) |
(* -1 (/ x (- 1 y))) |
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(* x (- (+ (/ 1 x) (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(* x (- (+ (/ 1 x) (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
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(+ (log (neg (/ 1 (- 1 y)))) (* -1 (log (/ 1 x)))) |
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(+ (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))))))) |
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(* x (- (+ (/ 1 x) (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(/ (* x (+ 1 (/ 1 y))) y) |
(* x (+ (* -1 (/ (+ 1 (/ 1 y)) (* x y))) (+ (/ 1 y) (/ 1 (pow y 2))))) |
(* x (+ (* -1 (/ (+ 1 (/ 1 y)) (* x y))) (+ (/ 1 y) (/ 1 (pow y 2))))) |
(* x (+ (* -1 (/ (+ 1 (/ 1 y)) (* x y))) (+ (/ 1 y) (/ 1 (pow y 2))))) |
(* x (+ 1 (/ 1 y))) |
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(+ (log (neg (/ 1 (- y 1)))) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 (* (+ 1 (* -1 (/ y (- y 1)))) (- y 1))) (* 1/2 (/ (* (pow (+ 1 (* -1 (/ y (- y 1)))) 2) (pow (- y 1) 2)) x))) x)))) |
(+ (log (neg (/ 1 (- y 1)))) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 (* (+ 1 (* -1 (/ y (- y 1)))) (- y 1))) (* -1 (/ (+ (* -1/2 (* (pow (+ 1 (* -1 (/ y (- y 1)))) 2) (pow (- y 1) 2))) (* 1/3 (/ (* (pow (+ 1 (* -1 (/ y (- y 1)))) 3) (pow (- y 1) 3)) x))) x))) x)))) |
(- 1 (+ (log (neg (/ 1 (- y 1)))) (* -1 (log (/ -1 x))))) |
(- (+ 1 (* -1 (/ (* (+ 1 (* -1 (/ y (- y 1)))) (- y 1)) x))) (+ (log (neg (/ 1 (- y 1)))) (* -1 (log (/ -1 x))))) |
(- (+ 1 (* -1 (/ (- (* -1/2 (/ (* (pow (+ 1 (* -1 (/ y (- y 1)))) 2) (pow (- y 1) 2)) x)) (* -1 (* (+ 1 (* -1 (/ y (- y 1)))) (- y 1)))) x))) (+ (log (neg (/ 1 (- y 1)))) (* -1 (log (/ -1 x))))) |
(- (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1/3 (/ (* (pow (+ 1 (* -1 (/ y (- y 1)))) 3) (pow (- y 1) 3)) x)) (* -1/2 (* (pow (+ 1 (* -1 (/ y (- y 1)))) 2) (pow (- y 1) 2)))) x)) (* -1 (* (+ 1 (* -1 (/ y (- y 1)))) (- y 1)))) x))) (+ (log (neg (/ 1 (- y 1)))) (* -1 (log (/ -1 x))))) |
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(* -1 x) |
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(* -1 (* x (+ (* -1 (/ (- 1 (* -1 (/ y (- 1 y)))) x)) (/ 1 (- 1 y))))) |
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(/ x (- y 1)) |
(/ x (- y 1)) |
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(- 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))))) |
(+ (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)))) |
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(* -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))))) |
(/ (* x (+ 1 (/ 1 y))) y) |
(* -1 (* x (+ (* -1 (/ (+ 1 (/ 1 y)) y)) (+ (/ 1 (* x y)) (/ 1 (* x (pow y 2))))))) |
(* -1 (* x (+ (* -1 (/ (+ 1 (/ 1 y)) y)) (+ (/ 1 (* x y)) (/ 1 (* x (pow y 2))))))) |
(* -1 (* x (+ (* -1 (/ (+ 1 (/ 1 y)) y)) (+ (/ 1 (* x y)) (/ 1 (* x (pow y 2))))))) |
(* 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))))) |
| Outputs |
|---|
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (+ (* -1 x) (* y (- 1 x)))) |
(*.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) |
(+ 1 (+ (* -1 x) (* y (- (+ 1 (* y (- 1 x))) x)))) |
(fma.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) y (-.f64 #s(literal 1 binary64) x)) |
(+ 1 (+ (* -1 x) (* y (- (+ 1 (* y (- (+ 1 (* y (- 1 x))) x))) x)))) |
(fma.f64 (fma.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) y (-.f64 #s(literal 1 binary64) x)) y (-.f64 #s(literal 1 binary64) x)) |
(log (+ 1 (* -1 x))) |
(log1p.f64 (neg.f64 x)) |
(+ (log (+ 1 (* -1 x))) (* y (- (/ 1 (+ 1 (* -1 x))) (/ x (+ 1 (* -1 x)))))) |
(+.f64 (log1p.f64 (neg.f64 x)) y) |
(+ (log (+ 1 (* -1 x))) (* y (- (+ (* 1/2 (* y (+ (* -1 (/ (pow (- 1 x) 2) (pow (+ 1 (* -1 x)) 2))) (* 2 (/ (- 1 x) (+ 1 (* -1 x))))))) (/ 1 (+ 1 (* -1 x)))) (/ x (+ 1 (* -1 x)))))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y (log1p.f64 (neg.f64 x))) |
(+ (log (+ 1 (* -1 x))) (* y (- (+ (* y (+ (* 1/6 (* y (+ (* -6 (/ (pow (- 1 x) 2) (pow (+ 1 (* -1 x)) 2))) (+ (* 2 (/ (pow (- 1 x) 3) (pow (+ 1 (* -1 x)) 3))) (* 6 (/ (- 1 x) (+ 1 (* -1 x)))))))) (* 1/2 (+ (* -1 (/ (pow (- 1 x) 2) (pow (+ 1 (* -1 x)) 2))) (* 2 (/ (- 1 x) (+ 1 (* -1 x)))))))) (/ 1 (+ 1 (* -1 x)))) (/ x (+ 1 (* -1 x)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y (log1p.f64 (neg.f64 x))) |
(- 1 (log (+ 1 (* -1 x)))) |
(-.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x))) |
(- (+ 1 (* y (- (/ x (+ 1 (* -1 x))) (/ 1 (+ 1 (* -1 x)))))) (log (+ 1 (* -1 x)))) |
(-.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 x))) |
(- (+ 1 (* y (- (+ (* -1/2 (* y (+ (* -1 (/ (pow (- 1 x) 2) (pow (+ 1 (* -1 x)) 2))) (* 2 (/ (- 1 x) (+ 1 (* -1 x))))))) (/ x (+ 1 (* -1 x)))) (/ 1 (+ 1 (* -1 x)))))) (log (+ 1 (* -1 x)))) |
(-.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) (log1p.f64 (neg.f64 x))) |
(- (+ 1 (* y (- (+ (* y (- (* -1/6 (* y (+ (* -6 (/ (pow (- 1 x) 2) (pow (+ 1 (* -1 x)) 2))) (+ (* 2 (/ (pow (- 1 x) 3) (pow (+ 1 (* -1 x)) 3))) (* 6 (/ (- 1 x) (+ 1 (* -1 x)))))))) (* 1/2 (+ (* -1 (/ (pow (- 1 x) 2) (pow (+ 1 (* -1 x)) 2))) (* 2 (/ (- 1 x) (+ 1 (* -1 x)))))))) (/ x (+ 1 (* -1 x)))) (/ 1 (+ 1 (* -1 x)))))) (log (+ 1 (* -1 x)))) |
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-1 |
#s(literal -1 binary64) |
(- (* -1 y) 1) |
(fma.f64 y #s(literal -1 binary64) #s(literal -1 binary64)) |
(- (* y (- (* -1 y) 1)) 1) |
(fma.f64 (fma.f64 y #s(literal -1 binary64) #s(literal -1 binary64)) y #s(literal -1 binary64)) |
(- (* y (- (* y (- (* -1 y) 1)) 1)) 1) |
(fma.f64 (fma.f64 (fma.f64 y #s(literal -1 binary64) #s(literal -1 binary64)) y #s(literal -1 binary64)) y #s(literal -1 binary64)) |
(- 1 (log (- 1 x))) |
(-.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x))) |
(- (+ 1 (* -1 (* y (+ (* -1 (/ x (- 1 x))) (/ 1 (- 1 x)))))) (log (- 1 x))) |
(-.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 x))) |
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(-.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) (log1p.f64 (neg.f64 x))) |
(- (+ 1 (* y (- (* y (- (* -1/6 (* y (+ (* -6 (/ (pow (+ 1 (* -1 x)) 2) (pow (- 1 x) 2))) (+ (* 2 (/ (pow (+ 1 (* -1 x)) 3) (pow (- 1 x) 3))) (* 6 (/ (+ 1 (* -1 x)) (- 1 x))))))) (* 1/2 (+ (* -1 (/ (pow (+ 1 (* -1 x)) 2) (pow (- 1 x) 2))) (* 2 (/ (+ 1 (* -1 x)) (- 1 x))))))) (+ (* -1 (/ x (- 1 x))) (/ 1 (- 1 x)))))) (log (- 1 x))) |
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(log (- 1 x)) |
(log1p.f64 (neg.f64 x)) |
(+ (log (- 1 x)) (* y (+ (* -1 (/ x (- 1 x))) (/ 1 (- 1 x))))) |
(+.f64 (log1p.f64 (neg.f64 x)) y) |
(+ (log (- 1 x)) (* y (+ (* -1 (/ x (- 1 x))) (+ (* 1/2 (* y (+ (* -1 (/ (pow (+ 1 (* -1 x)) 2) (pow (- 1 x) 2))) (* 2 (/ (+ 1 (* -1 x)) (- 1 x)))))) (/ 1 (- 1 x)))))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y (log1p.f64 (neg.f64 x))) |
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(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (-.f64 y #s(literal 1 binary64)))) #s(literal 2 binary64)) x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (-.f64 y #s(literal 1 binary64)))) (-.f64 y #s(literal 1 binary64)))) x)) (-.f64 (neg.f64 (log1p.f64 (neg.f64 y))) (log.f64 (/.f64 #s(literal -1 binary64) x)))) |
(- (+ 1 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ (* (pow (- 1 y) 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))))) |
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (-.f64 y #s(literal 1 binary64)))) #s(literal 3 binary64)) x) (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (-.f64 y #s(literal 1 binary64)))) #s(literal 2 binary64)))) x) #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (-.f64 y #s(literal 1 binary64)))) (-.f64 y #s(literal 1 binary64)))) x)) (-.f64 (neg.f64 (log1p.f64 (neg.f64 y))) (log.f64 (/.f64 #s(literal -1 binary64) x)))) |
(+ (log (/ 1 (- 1 y))) (* -1 (log (/ -1 x)))) |
(-.f64 (neg.f64 (log1p.f64 (neg.f64 y))) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(+ (log (/ 1 (- 1 y))) (+ (* -1 (log (/ -1 x))) (* -1 (/ (* (- 1 y) (- 1 (* -1 (/ y (- 1 y))))) x)))) |
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (-.f64 y #s(literal 1 binary64)))) (/.f64 (-.f64 y #s(literal 1 binary64)) x) (-.f64 (neg.f64 (log1p.f64 (neg.f64 y))) (log.f64 (/.f64 #s(literal -1 binary64) x)))) |
(+ (log (/ 1 (- 1 y))) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* 1/2 (/ (* (pow (- 1 y) 2) (pow (- 1 (* -1 (/ y (- 1 y)))) 2)) x)) (* (- 1 y) (- 1 (* -1 (/ y (- 1 y)))))) x)))) |
(-.f64 (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (-.f64 y #s(literal 1 binary64)))) #s(literal 2 binary64)) x) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (/.f64 y (-.f64 y #s(literal 1 binary64)))))) (neg.f64 x)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (log1p.f64 (neg.f64 y))) |
(+ (log (/ 1 (- 1 y))) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow (- 1 y) 2) (pow (- 1 (* -1 (/ y (- 1 y)))) 2))) (* -1/3 (/ (* (pow (- 1 y) 3) (pow (- 1 (* -1 (/ y (- 1 y)))) 3)) x))) x)) (* (- 1 y) (- 1 (* -1 (/ y (- 1 y)))))) x)))) |
(-.f64 (-.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (/.f64 y (-.f64 y #s(literal 1 binary64)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (-.f64 y #s(literal 1 binary64)))) #s(literal 3 binary64)) x) (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (-.f64 y #s(literal 1 binary64)))) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)))) (neg.f64 x))) (neg.f64 x)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (log1p.f64 (neg.f64 y))) |
(+ y (* -1 (log (/ -1 x)))) |
(-.f64 y (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(- (+ y (* -1 (log (/ -1 x)))) (/ 1 x)) |
(-.f64 (-.f64 y (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal 1 binary64) x)) |
(+ y (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x)))) |
(-.f64 (-.f64 y (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x)) |
(+ y (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) x)))) |
(-.f64 (-.f64 y (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/3 binary64) x) x)) (/.f64 #s(literal 1/2 binary64) x)) x)) |
(- 1 (+ (log (/ 1 (- 1 y))) (* -1 (log (/ -1 x))))) |
(-.f64 #s(literal 1 binary64) (-.f64 (neg.f64 (log1p.f64 (neg.f64 y))) (log.f64 (/.f64 #s(literal -1 binary64) x)))) |
(- (+ 1 (/ (* (- 1 y) (- 1 (* -1 (/ y (- 1 y))))) x)) (+ (log (/ 1 (- 1 y))) (* -1 (log (/ -1 x))))) |
(-.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (-.f64 y #s(literal 1 binary64)))) x) #s(literal 1 binary64)) (-.f64 (neg.f64 (log1p.f64 (neg.f64 y))) (log.f64 (/.f64 #s(literal -1 binary64) 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))))) |
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (-.f64 y #s(literal 1 binary64)))) #s(literal 2 binary64)) x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (-.f64 y #s(literal 1 binary64)))) (-.f64 y #s(literal 1 binary64)))) x)) (-.f64 (neg.f64 (log1p.f64 (neg.f64 y))) (log.f64 (/.f64 #s(literal -1 binary64) x)))) |
(- (+ 1 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ (* (pow (- 1 y) 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))))) |
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (-.f64 y #s(literal 1 binary64)))) #s(literal 3 binary64)) x) (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (-.f64 y #s(literal 1 binary64)))) #s(literal 2 binary64)))) x) #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (-.f64 y #s(literal 1 binary64)))) (-.f64 y #s(literal 1 binary64)))) x)) (-.f64 (neg.f64 (log1p.f64 (neg.f64 y))) (log.f64 (/.f64 #s(literal -1 binary64) x)))) |
(+ (log (/ 1 (- 1 y))) (* -1 (log (/ -1 x)))) |
(-.f64 (neg.f64 (log1p.f64 (neg.f64 y))) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(+ (log (/ 1 (- 1 y))) (+ (* -1 (log (/ -1 x))) (* -1 (/ (* (- 1 y) (- 1 (* -1 (/ y (- 1 y))))) x)))) |
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (-.f64 y #s(literal 1 binary64)))) (/.f64 (-.f64 y #s(literal 1 binary64)) x) (-.f64 (neg.f64 (log1p.f64 (neg.f64 y))) (log.f64 (/.f64 #s(literal -1 binary64) x)))) |
(+ (log (/ 1 (- 1 y))) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* 1/2 (/ (* (pow (- 1 y) 2) (pow (- 1 (* -1 (/ y (- 1 y)))) 2)) x)) (* (- 1 y) (- 1 (* -1 (/ y (- 1 y)))))) x)))) |
(-.f64 (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (-.f64 y #s(literal 1 binary64)))) #s(literal 2 binary64)) x) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (/.f64 y (-.f64 y #s(literal 1 binary64)))))) (neg.f64 x)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (log1p.f64 (neg.f64 y))) |
(+ (log (/ 1 (- 1 y))) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow (- 1 y) 2) (pow (- 1 (* -1 (/ y (- 1 y)))) 2))) (* -1/3 (/ (* (pow (- 1 y) 3) (pow (- 1 (* -1 (/ y (- 1 y)))) 3)) x))) x)) (* (- 1 y) (- 1 (* -1 (/ y (- 1 y)))))) x)))) |
(-.f64 (-.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (/.f64 y (-.f64 y #s(literal 1 binary64)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (-.f64 y #s(literal 1 binary64)))) #s(literal 3 binary64)) x) (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (-.f64 y #s(literal 1 binary64)))) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)))) (neg.f64 x))) (neg.f64 x)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (log1p.f64 (neg.f64 y))) |
(* -1 (/ x (- 1 y))) |
(/.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) y)) |
(* -1 (* x (+ (* -1 (/ (- 1 (* -1 (/ y (- 1 y)))) x)) (/ 1 (- 1 y))))) |
(*.f64 (-.f64 (/.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (-.f64 y #s(literal 1 binary64)))) x)) (neg.f64 x)) |
(* -1 (* x (+ (* -1 (/ (- 1 (* -1 (/ y (- 1 y)))) x)) (/ 1 (- 1 y))))) |
(*.f64 (-.f64 (/.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (-.f64 y #s(literal 1 binary64)))) x)) (neg.f64 x)) |
(* -1 (* x (+ (* -1 (/ (- 1 (* -1 (/ y (- 1 y)))) x)) (/ 1 (- 1 y))))) |
(*.f64 (-.f64 (/.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (-.f64 y #s(literal 1 binary64)))) x)) (neg.f64 x)) |
(/ x (- y 1)) |
(/.f64 x (-.f64 y #s(literal 1 binary64))) |
(/ x (- y 1)) |
(/.f64 x (-.f64 y #s(literal 1 binary64))) |
(/ x (- y 1)) |
(/.f64 x (-.f64 y #s(literal 1 binary64))) |
(/ x (- y 1)) |
(/.f64 x (-.f64 y #s(literal 1 binary64))) |
(- 1 (+ (log (/ 1 (- 1 y))) (* -1 (log (/ -1 x))))) |
(-.f64 #s(literal 1 binary64) (-.f64 (neg.f64 (log1p.f64 (neg.f64 y))) (log.f64 (/.f64 #s(literal -1 binary64) x)))) |
(- (+ 1 (/ (* (- 1 y) (- 1 (* -1 (/ y (- 1 y))))) x)) (+ (log (/ 1 (- 1 y))) (* -1 (log (/ -1 x))))) |
(-.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (-.f64 y #s(literal 1 binary64)))) x) #s(literal 1 binary64)) (-.f64 (neg.f64 (log1p.f64 (neg.f64 y))) (log.f64 (/.f64 #s(literal -1 binary64) 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))))) |
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (-.f64 y #s(literal 1 binary64)))) #s(literal 2 binary64)) x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (-.f64 y #s(literal 1 binary64)))) (-.f64 y #s(literal 1 binary64)))) x)) (-.f64 (neg.f64 (log1p.f64 (neg.f64 y))) (log.f64 (/.f64 #s(literal -1 binary64) x)))) |
(- (+ 1 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ (* (pow (- 1 y) 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))))) |
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (-.f64 y #s(literal 1 binary64)))) #s(literal 3 binary64)) x) (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (-.f64 y #s(literal 1 binary64)))) #s(literal 2 binary64)))) x) #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (-.f64 y #s(literal 1 binary64)))) (-.f64 y #s(literal 1 binary64)))) x)) (-.f64 (neg.f64 (log1p.f64 (neg.f64 y))) (log.f64 (/.f64 #s(literal -1 binary64) x)))) |
(+ (log (/ 1 (- 1 y))) (* -1 (log (/ -1 x)))) |
(-.f64 (neg.f64 (log1p.f64 (neg.f64 y))) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(+ (log (/ 1 (- 1 y))) (+ (* -1 (log (/ -1 x))) (* -1 (/ (* (- 1 y) (- 1 (* -1 (/ y (- 1 y))))) x)))) |
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (-.f64 y #s(literal 1 binary64)))) (/.f64 (-.f64 y #s(literal 1 binary64)) x) (-.f64 (neg.f64 (log1p.f64 (neg.f64 y))) (log.f64 (/.f64 #s(literal -1 binary64) x)))) |
(+ (log (/ 1 (- 1 y))) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* 1/2 (/ (* (pow (- 1 y) 2) (pow (- 1 (* -1 (/ y (- 1 y)))) 2)) x)) (* (- 1 y) (- 1 (* -1 (/ y (- 1 y)))))) x)))) |
(-.f64 (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (-.f64 y #s(literal 1 binary64)))) #s(literal 2 binary64)) x) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (/.f64 y (-.f64 y #s(literal 1 binary64)))))) (neg.f64 x)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (log1p.f64 (neg.f64 y))) |
(+ (log (/ 1 (- 1 y))) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow (- 1 y) 2) (pow (- 1 (* -1 (/ y (- 1 y)))) 2))) (* -1/3 (/ (* (pow (- 1 y) 3) (pow (- 1 (* -1 (/ y (- 1 y)))) 3)) x))) x)) (* (- 1 y) (- 1 (* -1 (/ y (- 1 y)))))) x)))) |
(-.f64 (-.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (/.f64 y (-.f64 y #s(literal 1 binary64)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (-.f64 y #s(literal 1 binary64)))) #s(literal 3 binary64)) x) (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (-.f64 y #s(literal 1 binary64)))) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)))) (neg.f64 x))) (neg.f64 x)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (log1p.f64 (neg.f64 y))) |
(* -1 (/ x (- 1 y))) |
(/.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) y)) |
(* -1 (* x (+ (* -1 (/ (- 1 (* -1 (/ y (- 1 y)))) x)) (/ 1 (- 1 y))))) |
(*.f64 (-.f64 (/.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (-.f64 y #s(literal 1 binary64)))) x)) (neg.f64 x)) |
(* -1 (* x (+ (* -1 (/ (- 1 (* -1 (/ y (- 1 y)))) x)) (/ 1 (- 1 y))))) |
(*.f64 (-.f64 (/.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (-.f64 y #s(literal 1 binary64)))) x)) (neg.f64 x)) |
(* -1 (* x (+ (* -1 (/ (- 1 (* -1 (/ y (- 1 y)))) x)) (/ 1 (- 1 y))))) |
(*.f64 (-.f64 (/.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (-.f64 y #s(literal 1 binary64)))) x)) (neg.f64 x)) |
(/ (* x (+ 1 (/ 1 y))) y) |
(/.f64 (+.f64 (/.f64 x y) x) y) |
(* -1 (* x (+ (* -1 (/ (+ 1 (/ 1 y)) y)) (+ (/ 1 (* x y)) (/ 1 (* x (pow y 2))))))) |
(*.f64 (-.f64 (+.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) y) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) y)) (neg.f64 x)) |
(* -1 (* x (+ (* -1 (/ (+ 1 (/ 1 y)) y)) (+ (/ 1 (* x y)) (/ 1 (* x (pow y 2))))))) |
(*.f64 (-.f64 (+.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) y) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) y)) (neg.f64 x)) |
(* -1 (* x (+ (* -1 (/ (+ 1 (/ 1 y)) y)) (+ (/ 1 (* x y)) (/ 1 (* x (pow y 2))))))) |
(*.f64 (-.f64 (+.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) y) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) y)) (neg.f64 x)) |
(* x (+ 1 (/ 1 y))) |
(+.f64 (/.f64 x y) x) |
(* -1 (* x (- (+ (/ 1 x) (/ 1 (* x y))) (+ 1 (/ 1 y))))) |
(*.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) (neg.f64 x)) |
(* -1 (* x (- (+ (/ 1 x) (/ 1 (* x y))) (+ 1 (/ 1 y))))) |
(*.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) (neg.f64 x)) |
(* -1 (* x (- (+ (/ 1 x) (/ 1 (* x y))) (+ 1 (/ 1 y))))) |
(*.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) (neg.f64 x)) |
| 5 470× | lower-*.f64 |
| 5 470× | lower-*.f32 |
| 4 046× | lower-/.f32 |
| 4 040× | lower-/.f64 |
| 3 076× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 254 |
| 0 | 59 | 254 |
| 1 | 293 | 251 |
| 2 | 2507 | 251 |
| 0 | 8980 | 243 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 x y) #s(literal 1 binary64)) |
(log.f64 (fma.f64 (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 x y) #s(literal 1 binary64))) |
(-.f64 #s(literal 1 binary64) (log.f64 (fma.f64 (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 x y) #s(literal 1 binary64)))) |
(pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) |
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 (neg.f64 x)))) |
#s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 (neg.f64 x))) |
(log1p.f64 (neg.f64 x)) |
(neg.f64 x) |
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (+.f64 y (log1p.f64 (neg.f64 x))))) |
#s(approx (log (- 1 (/ (- x y) (- 1 y)))) (+.f64 y (log1p.f64 (neg.f64 x)))) |
(+.f64 y (log1p.f64 (neg.f64 x))) |
(-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 x (+.f64 #s(literal -1 binary64) y))))) |
(log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 x (+.f64 #s(literal -1 binary64) y)))) |
#s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 x (+.f64 #s(literal -1 binary64) y))) |
(/.f64 x (+.f64 #s(literal -1 binary64) y)) |
(-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 (-.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) #s(literal 1 binary64)) y)))) |
(log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 (-.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) #s(literal 1 binary64)) y))) |
#s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 (-.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) #s(literal 1 binary64)) y)) |
(/.f64 (-.f64 (-.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) #s(literal 1 binary64)) y) |
(-.f64 (-.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) #s(literal 1 binary64)) |
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Compiled 18 233 to 2 415 computations (86.8% saved)
19 alts after pruning (16 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 815 | 13 | 828 |
| Fresh | 3 | 3 | 6 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 820 | 19 | 839 |
| Status | Accuracy | Program |
|---|---|---|
| 39.0% | (-.f64 (pow.f64 (+.f64 (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 x (-.f64 y #s(literal 1 binary64))))) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 x (-.f64 y #s(literal 1 binary64))))) #s(literal 2 binary64)) (+.f64 (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 x (-.f64 y #s(literal 1 binary64))))) #s(literal 1 binary64)))) | |
| ▶ | 73.7% | (-.f64 #s(literal 1 binary64) (log.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))) (-.f64 x y) #s(literal 1 binary64)))) |
| 57.8% | (-.f64 #s(literal 1 binary64) (log.f64 (fma.f64 #s(approx (pow (- y 1) -1) #s(literal -1 binary64)) (-.f64 x y) #s(literal 1 binary64)))) | |
| ▶ | 72.2% | (-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 y x)))))) |
| 43.1% | (-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 (/.f64 (-.f64 (-.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x)) y)))) | |
| 42.8% | (-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 x #s(literal 1 binary64)) y)))) | |
| 22.0% | (-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 #s(approx (- (- x (/ (- 1 x) y)) 1) (+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))) y)))) | |
| ✓ | 39.4% | (-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 x (+.f64 #s(literal -1 binary64) y))))) |
| ▶ | 24.2% | (-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ x (+ -1 y)) (/.f64 x y))))) |
| 17.6% | (-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ x (+ -1 y)) (neg.f64 (fma.f64 y x x)))))) | |
| 20.6% | (-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ x (+ -1 y)) (neg.f64 x))))) | |
| ✓ | 57.8% | (-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (+.f64 y (log1p.f64 (neg.f64 x))))) |
| 44.2% | (-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y))))) | |
| ✓ | 60.7% | (-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 (neg.f64 x)))) |
| 44.4% | (-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (+ y (log (+ 1 (neg x)))) (-.f64 y x)))) | |
| ▶ | 45.7% | (-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)))) |
| 46.2% | (-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)))) | |
| 45.7% | (-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x)))) | |
| ▶ | 46.3% | (-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (neg.f64 x)))) |
Compiled 415 to 338 computations (18.6% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 y x)))) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 y x)))))) | |
| cost-diff | 192 | (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 y x))))) | |
| cost-diff | 704 | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 y x))) | |
| cost-diff | 0 | #s(approx (/ x (+ -1 y)) (/.f64 x y)) | |
| cost-diff | 0 | #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ x (+ -1 y)) (/.f64 x y))) | |
| cost-diff | 0 | (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ x (+ -1 y)) (/.f64 x y)))) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ x (+ -1 y)) (/.f64 x y))))) | |
| cost-diff | 0 | (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x) | |
| cost-diff | 0 | #s(approx (log (+ 1 (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) | |
| cost-diff | 0 | #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x))) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)))) | |
| cost-diff | 0 | (neg.f64 x) | |
| cost-diff | 0 | #s(approx (log (+ 1 (neg x))) (neg.f64 x)) | |
| cost-diff | 0 | #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (neg.f64 x))) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (neg.f64 x)))) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) (log.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))) (-.f64 x y) #s(literal 1 binary64)))) | |
| cost-diff | 192 | (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))) (-.f64 x y) #s(literal 1 binary64)) | |
| cost-diff | 192 | (log.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))) (-.f64 x y) #s(literal 1 binary64))) |
| 6 384× | lower-fma.f32 |
| 6 376× | lower-fma.f64 |
| 1 728× | lower-*.f32 |
| 1 726× | lower-*.f64 |
| 1 248× | unsub-neg |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 45 | 355 |
| 0 | 71 | 346 |
| 1 | 116 | 340 |
| 2 | 216 | 338 |
| 3 | 554 | 338 |
| 4 | 1332 | 338 |
| 5 | 3102 | 338 |
| 6 | 5310 | 338 |
| 7 | 6446 | 338 |
| 8 | 6651 | 338 |
| 9 | 6695 | 338 |
| 10 | 6731 | 338 |
| 11 | 6735 | 338 |
| 12 | 6755 | 338 |
| 13 | 6755 | 338 |
| 14 | 7131 | 338 |
| 15 | 7283 | 338 |
| 16 | 7283 | 338 |
| 0 | 7283 | 316 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 #s(literal 1 binary64) (log.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))) (-.f64 x y) #s(literal 1 binary64)))) |
#s(literal 1 binary64) |
(log.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))) (-.f64 x y) #s(literal 1 binary64))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))) (-.f64 x y) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))) |
(-.f64 y #s(literal 1 binary64)) |
y |
(-.f64 x y) |
x |
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (neg.f64 x)))) |
#s(literal 1 binary64) |
#s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (neg.f64 x))) |
#s(approx (log (+ 1 (neg x))) (neg.f64 x)) |
(neg.f64 x) |
x |
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)))) |
#s(literal 1 binary64) |
#s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x))) |
#s(approx (log (+ 1 (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) |
(fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) |
(fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) |
#s(literal -1/4 binary64) |
x |
#s(literal -1/3 binary64) |
#s(literal -1/2 binary64) |
#s(literal -1 binary64) |
(-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ x (+ -1 y)) (/.f64 x y))))) |
#s(literal 1 binary64) |
(log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ x (+ -1 y)) (/.f64 x y)))) |
#s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ x (+ -1 y)) (/.f64 x y))) |
#s(approx (/ x (+ -1 y)) (/.f64 x y)) |
(/.f64 x y) |
x |
y |
(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 y x)))))) |
#s(literal 1 binary64) |
(log.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 y x))))) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 y x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 y x))) |
(/.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 y x)) |
(-.f64 y #s(literal 1 binary64)) |
y |
(-.f64 y x) |
x |
| Outputs |
|---|
(-.f64 #s(literal 1 binary64) (log.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))) (-.f64 x y) #s(literal 1 binary64)))) |
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y)))) |
#s(literal 1 binary64) |
(log.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))) (-.f64 x y) #s(literal 1 binary64))) |
(log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))) (-.f64 x y) #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (-.f64 y #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))) |
(-.f64 y #s(literal 1 binary64)) |
y |
(-.f64 x y) |
x |
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (neg.f64 x)))) |
#s(literal 1 binary64) |
#s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (neg.f64 x))) |
#s(approx (log (+ 1 (neg x))) (neg.f64 x)) |
(neg.f64 x) |
x |
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)))) |
#s(literal 1 binary64) |
#s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x))) |
#s(approx (log (+ 1 (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) |
(fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) |
(fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) |
#s(literal -1/4 binary64) |
x |
#s(literal -1/3 binary64) |
#s(literal -1/2 binary64) |
#s(literal -1 binary64) |
(-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ x (+ -1 y)) (/.f64 x y))))) |
#s(literal 1 binary64) |
(log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ x (+ -1 y)) (/.f64 x y)))) |
#s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ x (+ -1 y)) (/.f64 x y))) |
#s(approx (/ x (+ -1 y)) (/.f64 x y)) |
(/.f64 x y) |
x |
y |
(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 y x)))))) |
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y)))) |
#s(literal 1 binary64) |
(log.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 y x))))) |
(log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 y x)))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (-.f64 y #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 y x))) |
(/.f64 (-.f64 y x) (-.f64 y #s(literal 1 binary64))) |
(/.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 y x)) |
(/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 x y)) |
(-.f64 y #s(literal 1 binary64)) |
y |
(-.f64 y x) |
x |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.01953125 | (/.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 y x)) | |
| accuracy | 0.14453125 | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 y x))) | |
| accuracy | 14.261529286351314 | (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 y x)))) | |
| accuracy | 24.738258223599747 | (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 y x))))) | |
| accuracy | 0.00390625 | (-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ x (+ -1 y)) (/.f64 x y))))) | |
| accuracy | 24.738258223599747 | (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ x (+ -1 y)) (/.f64 x y)))) | |
| accuracy | 35.87118603470859 | #s(approx (/ x (+ -1 y)) (/.f64 x y)) | |
| accuracy | 39.867493257738566 | #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ x (+ -1 y)) (/.f64 x y))) | |
| accuracy | 0.015625 | (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x) | |
| accuracy | 0.021816259768442016 | (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) | |
| accuracy | 15.722311490590934 | #s(approx (log (+ 1 (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) | |
| accuracy | 35.433012079793784 | #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x))) | |
| accuracy | 0 | (neg.f64 x) | |
| accuracy | 0.00390625 | (-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (neg.f64 x)))) | |
| accuracy | 15.668123373364256 | #s(approx (log (+ 1 (neg x))) (neg.f64 x)) | |
| accuracy | 35.433012079793784 | #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (neg.f64 x))) | |
| accuracy | 0.00390625 | (-.f64 #s(literal 1 binary64) (log.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))) (-.f64 x y) #s(literal 1 binary64)))) | |
| accuracy | 0.01171875 | (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))) | |
| accuracy | 14.48991787354327 | (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))) (-.f64 x y) #s(literal 1 binary64)) | |
| accuracy | 24.738258223599747 | (log.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))) (-.f64 x y) #s(literal 1 binary64))) |
| 112.0ms | 143× | 1 | valid |
| 21.0ms | 67× | 0 | valid |
| 20.0ms | 19× | 2 | valid |
| 7.0ms | 27× | 0 | invalid |
Compiled 263 to 39 computations (85.2% saved)
ival-sub: 21.0ms (17.6% of total)ival-mult: 21.0ms (17.6% of total)ival-log: 21.0ms (17.6% of total)adjust: 16.0ms (13.4% of total)ival-div: 16.0ms (13.4% of total)ival-add: 9.0ms (7.5% of total)ival-log1p: 8.0ms (6.7% of total)const: 6.0ms (5% of total)exact: 1.0ms (0.8% of total)ival-neg: 1.0ms (0.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (log.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))) (-.f64 x y) #s(literal 1 binary64))) (patch (log.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))) (-.f64 x y) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))) (-.f64 x y) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))) (-.f64 x y) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 1 binary64) (log.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))) (-.f64 x y) #s(literal 1 binary64)))) (patch (-.f64 #s(literal 1 binary64) (log.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))) (-.f64 x y) #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (neg.f64 x)))) (patch (-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (neg.f64 x)))) #<representation binary64>) () ()) |
#s(alt #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (neg.f64 x))) (patch #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (neg.f64 x))) #<representation binary64>) () ()) |
#s(alt #s(approx (log (+ 1 (neg x))) (neg.f64 x)) (patch #s(approx (log (+ 1 (neg x))) (neg.f64 x)) #<representation binary64>) () ()) |
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)))) (patch (-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)))) #<representation binary64>) () ()) |
#s(alt #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x))) (patch #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x))) #<representation binary64>) () ()) |
#s(alt #s(approx (log (+ 1 (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) (patch #s(approx (log (+ 1 (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x) (patch (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ x (+ -1 y)) (/.f64 x y))))) (patch (-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ x (+ -1 y)) (/.f64 x y))))) #<representation binary64>) () ()) |
#s(alt (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ x (+ -1 y)) (/.f64 x y)))) (patch (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ x (+ -1 y)) (/.f64 x y)))) #<representation binary64>) () ()) |
#s(alt #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ x (+ -1 y)) (/.f64 x y))) (patch #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ x (+ -1 y)) (/.f64 x y))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ x (+ -1 y)) (/.f64 x y)) (patch #s(approx (/ x (+ -1 y)) (/.f64 x y)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 y x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 y x))) #<representation binary64>) () ()) |
#s(alt (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 y x))))) (patch (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 y x))))) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 y x)))))) (patch (-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 y x)))))) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 y x)))) (patch (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 y x)))) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) (patch (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 y x)) (patch (/.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 y x)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (log (+ 1 (* -1 x))) (taylor 0 y) (#s(alt (log.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))) (-.f64 x y) #s(literal 1 binary64))) (patch (log.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))) (-.f64 x y) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (log (+ 1 (* -1 x))) (* y (- (/ 1 (+ 1 (* -1 x))) (/ x (+ 1 (* -1 x)))))) (taylor 0 y) (#s(alt (log.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))) (-.f64 x y) #s(literal 1 binary64))) (patch (log.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))) (-.f64 x y) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (log (+ 1 (* -1 x))) (* y (- (+ (* 1/2 (* y (+ (* -1 (/ (pow (- 1 x) 2) (pow (+ 1 (* -1 x)) 2))) (* 2 (/ (- 1 x) (+ 1 (* -1 x))))))) (/ 1 (+ 1 (* -1 x)))) (/ x (+ 1 (* -1 x)))))) (taylor 0 y) (#s(alt (log.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))) (-.f64 x y) #s(literal 1 binary64))) (patch (log.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))) (-.f64 x y) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (log (+ 1 (* -1 x))) (* y (- (+ (* y (+ (* 1/6 (* y (+ (* -6 (/ (pow (- 1 x) 2) (pow (+ 1 (* -1 x)) 2))) (+ (* 2 (/ (pow (- 1 x) 3) (pow (+ 1 (* -1 x)) 3))) (* 6 (/ (- 1 x) (+ 1 (* -1 x)))))))) (* 1/2 (+ (* -1 (/ (pow (- 1 x) 2) (pow (+ 1 (* -1 x)) 2))) (* 2 (/ (- 1 x) (+ 1 (* -1 x)))))))) (/ 1 (+ 1 (* -1 x)))) (/ x (+ 1 (* -1 x)))))) (taylor 0 y) (#s(alt (log.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))) (-.f64 x y) #s(literal 1 binary64))) (patch (log.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))) (-.f64 x y) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 x)) (taylor 0 y) (#s(alt (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))) (-.f64 x y) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))) (-.f64 x y) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ (* -1 x) (* y (- 1 x)))) (taylor 0 y) (#s(alt (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))) (-.f64 x y) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))) (-.f64 x y) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ (* -1 x) (* y (- (+ 1 (* y (- 1 x))) x)))) (taylor 0 y) (#s(alt (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))) (-.f64 x y) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))) (-.f64 x y) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ (* -1 x) (* y (- (+ 1 (* y (- (+ 1 (* y (- 1 x))) x))) x)))) (taylor 0 y) (#s(alt (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))) (-.f64 x y) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))) (-.f64 x y) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- 1 (log (+ 1 (* -1 x)))) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) (log.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))) (-.f64 x y) #s(literal 1 binary64)))) (patch (-.f64 #s(literal 1 binary64) (log.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))) (-.f64 x y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (* y (- (/ x (+ 1 (* -1 x))) (/ 1 (+ 1 (* -1 x)))))) (log (+ 1 (* -1 x)))) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) (log.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))) (-.f64 x y) #s(literal 1 binary64)))) (patch (-.f64 #s(literal 1 binary64) (log.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))) (-.f64 x y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (* y (- (+ (* -1/2 (* y (+ (* -1 (/ (pow (- 1 x) 2) (pow (+ 1 (* -1 x)) 2))) (* 2 (/ (- 1 x) (+ 1 (* -1 x))))))) (/ x (+ 1 (* -1 x)))) (/ 1 (+ 1 (* -1 x)))))) (log (+ 1 (* -1 x)))) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) (log.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))) (-.f64 x y) #s(literal 1 binary64)))) (patch (-.f64 #s(literal 1 binary64) (log.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))) (-.f64 x y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (* y (- (+ (* y (- (* -1/6 (* y (+ (* -6 (/ (pow (- 1 x) 2) (pow (+ 1 (* -1 x)) 2))) (+ (* 2 (/ (pow (- 1 x) 3) (pow (+ 1 (* -1 x)) 3))) (* 6 (/ (- 1 x) (+ 1 (* -1 x)))))))) (* 1/2 (+ (* -1 (/ (pow (- 1 x) 2) (pow (+ 1 (* -1 x)) 2))) (* 2 (/ (- 1 x) (+ 1 (* -1 x)))))))) (/ x (+ 1 (* -1 x)))) (/ 1 (+ 1 (* -1 x)))))) (log (+ 1 (* -1 x)))) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) (log.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))) (-.f64 x y) #s(literal 1 binary64)))) (patch (-.f64 #s(literal 1 binary64) (log.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))) (-.f64 x y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt -1 (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 y) 1) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
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6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | -inf | ((log (+ (* (/ 1 (- y 1)) (- x y)) 1)) (+ (* (/ 1 (- y 1)) (- x y)) 1) (- 1 (log (+ (* (/ 1 (- y 1)) (- x y)) 1))) (/ 1 (- y 1)) (- 1 (log (- 1 (/ (- x y) (- 1 y))))) (log (- 1 (/ (- x y) (- 1 y)))) (log (+ 1 (neg x))) (neg x) (- 1 (log (- 1 (/ (- x y) (- 1 y))))) (log (- 1 (/ (- x y) (- 1 y)))) (log (+ 1 (neg x))) (* (+ (* (+ (* (+ (* -1/4 x) -1/3) x) -1/2) x) -1) x) (- 1 (log (- 1 (/ (- x y) (- 1 y))))) (log (- 1 (/ (- x y) (- 1 y)))) (- 1 (/ (- x y) (- 1 y))) (/ x (+ -1 y)) (/ 1 (/ (- y 1) (- y x))) (log (- 1 (/ 1 (/ (- y 1) (- y x))))) (- 1 (log (- 1 (/ 1 (/ (- y 1) (- y x)))))) (- 1 (/ 1 (/ (- y 1) (- y x)))) (+ (* -1/4 x) -1/3) (/ (- y 1) (- y x))) |
| 2.0ms | x | @ | inf | ((log (+ (* (/ 1 (- y 1)) (- x y)) 1)) (+ (* (/ 1 (- y 1)) (- x y)) 1) (- 1 (log (+ (* (/ 1 (- y 1)) (- x y)) 1))) (/ 1 (- y 1)) (- 1 (log (- 1 (/ (- x y) (- 1 y))))) (log (- 1 (/ (- x y) (- 1 y)))) (log (+ 1 (neg x))) (neg x) (- 1 (log (- 1 (/ (- x y) (- 1 y))))) (log (- 1 (/ (- x y) (- 1 y)))) (log (+ 1 (neg x))) (* (+ (* (+ (* (+ (* -1/4 x) -1/3) x) -1/2) x) -1) x) (- 1 (log (- 1 (/ (- x y) (- 1 y))))) (log (- 1 (/ (- x y) (- 1 y)))) (- 1 (/ (- x y) (- 1 y))) (/ x (+ -1 y)) (/ 1 (/ (- y 1) (- y x))) (log (- 1 (/ 1 (/ (- y 1) (- y x))))) (- 1 (log (- 1 (/ 1 (/ (- y 1) (- y x)))))) (- 1 (/ 1 (/ (- y 1) (- y x)))) (+ (* -1/4 x) -1/3) (/ (- y 1) (- y x))) |
| 2.0ms | x | @ | 0 | ((log (+ (* (/ 1 (- y 1)) (- x y)) 1)) (+ (* (/ 1 (- y 1)) (- x y)) 1) (- 1 (log (+ (* (/ 1 (- y 1)) (- x y)) 1))) (/ 1 (- y 1)) (- 1 (log (- 1 (/ (- x y) (- 1 y))))) (log (- 1 (/ (- x y) (- 1 y)))) (log (+ 1 (neg x))) (neg x) (- 1 (log (- 1 (/ (- x y) (- 1 y))))) (log (- 1 (/ (- x y) (- 1 y)))) (log (+ 1 (neg x))) (* (+ (* (+ (* (+ (* -1/4 x) -1/3) x) -1/2) x) -1) x) (- 1 (log (- 1 (/ (- x y) (- 1 y))))) (log (- 1 (/ (- x y) (- 1 y)))) (- 1 (/ (- x y) (- 1 y))) (/ x (+ -1 y)) (/ 1 (/ (- y 1) (- y x))) (log (- 1 (/ 1 (/ (- y 1) (- y x))))) (- 1 (log (- 1 (/ 1 (/ (- y 1) (- y x)))))) (- 1 (/ 1 (/ (- y 1) (- y x)))) (+ (* -1/4 x) -1/3) (/ (- y 1) (- y x))) |
| 1.0ms | y | @ | 0 | ((log (+ (* (/ 1 (- y 1)) (- x y)) 1)) (+ (* (/ 1 (- y 1)) (- x y)) 1) (- 1 (log (+ (* (/ 1 (- y 1)) (- x y)) 1))) (/ 1 (- y 1)) (- 1 (log (- 1 (/ (- x y) (- 1 y))))) (log (- 1 (/ (- x y) (- 1 y)))) (log (+ 1 (neg x))) (neg x) (- 1 (log (- 1 (/ (- x y) (- 1 y))))) (log (- 1 (/ (- x y) (- 1 y)))) (log (+ 1 (neg x))) (* (+ (* (+ (* (+ (* -1/4 x) -1/3) x) -1/2) x) -1) x) (- 1 (log (- 1 (/ (- x y) (- 1 y))))) (log (- 1 (/ (- x y) (- 1 y)))) (- 1 (/ (- x y) (- 1 y))) (/ x (+ -1 y)) (/ 1 (/ (- y 1) (- y x))) (log (- 1 (/ 1 (/ (- y 1) (- y x))))) (- 1 (log (- 1 (/ 1 (/ (- y 1) (- y x)))))) (- 1 (/ 1 (/ (- y 1) (- y x)))) (+ (* -1/4 x) -1/3) (/ (- y 1) (- y x))) |
| 1.0ms | y | @ | inf | ((log (+ (* (/ 1 (- y 1)) (- x y)) 1)) (+ (* (/ 1 (- y 1)) (- x y)) 1) (- 1 (log (+ (* (/ 1 (- y 1)) (- x y)) 1))) (/ 1 (- y 1)) (- 1 (log (- 1 (/ (- x y) (- 1 y))))) (log (- 1 (/ (- x y) (- 1 y)))) (log (+ 1 (neg x))) (neg x) (- 1 (log (- 1 (/ (- x y) (- 1 y))))) (log (- 1 (/ (- x y) (- 1 y)))) (log (+ 1 (neg x))) (* (+ (* (+ (* (+ (* -1/4 x) -1/3) x) -1/2) x) -1) x) (- 1 (log (- 1 (/ (- x y) (- 1 y))))) (log (- 1 (/ (- x y) (- 1 y)))) (- 1 (/ (- x y) (- 1 y))) (/ x (+ -1 y)) (/ 1 (/ (- y 1) (- y x))) (log (- 1 (/ 1 (/ (- y 1) (- y x))))) (- 1 (log (- 1 (/ 1 (/ (- y 1) (- y x)))))) (- 1 (/ 1 (/ (- y 1) (- y x)))) (+ (* -1/4 x) -1/3) (/ (- y 1) (- y x))) |
| 1× | egg-herbie |
| 6 446× | lower-fma.f64 |
| 6 446× | lower-fma.f32 |
| 4 616× | lower-+.f64 |
| 4 616× | lower-+.f32 |
| 2 914× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1038 | 12047 |
| 1 | 3418 | 8564 |
| 0 | 9265 | 8121 |
| 1× | iter limit |
| 1× | node limit |
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(* x (- (/ y (* x (- y 1))) (/ 1 (- y 1)))) |
(* x (- (/ y (* x (- y 1))) (/ 1 (- y 1)))) |
(* x (- (/ y (* x (- y 1))) (/ 1 (- y 1)))) |
(+ (log (/ 1 (- y 1))) (* -1 (log (/ 1 x)))) |
(+ (log (/ 1 (- y 1))) (+ (* -1 (log (/ 1 x))) (/ (* (- 1 (/ y (- y 1))) (- y 1)) x))) |
(+ (log (/ 1 (- y 1))) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (* (pow (- 1 (/ y (- y 1))) 2) (pow (- y 1) 2)) (pow x 2))) (/ (* (- 1 (/ y (- y 1))) (- y 1)) x)))) |
(+ (log (/ 1 (- y 1))) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (* (pow (- 1 (/ y (- y 1))) 2) (pow (- y 1) 2)) (pow x 2))) (+ (* 1/3 (/ (* (pow (- 1 (/ y (- y 1))) 3) (pow (- y 1) 3)) (pow x 3))) (/ (* (- 1 (/ y (- y 1))) (- y 1)) x))))) |
(- 1 (+ (log (/ 1 (- y 1))) (* -1 (log (/ 1 x))))) |
(- (+ 1 (* -1 (/ (* (- 1 (/ y (- y 1))) (- y 1)) x))) (+ (log (/ 1 (- y 1))) (* -1 (log (/ 1 x))))) |
(- (+ 1 (* 1/2 (/ (* (pow (- 1 (/ y (- y 1))) 2) (pow (- y 1) 2)) (pow x 2)))) (+ (log (/ 1 (- y 1))) (+ (* -1 (log (/ 1 x))) (/ (* (- 1 (/ y (- y 1))) (- y 1)) x)))) |
(- (+ 1 (* -1/3 (/ (* (pow (- 1 (/ y (- y 1))) 3) (pow (- y 1) 3)) (pow x 3)))) (+ (log (/ 1 (- y 1))) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (* (pow (- 1 (/ y (- y 1))) 2) (pow (- y 1) 2)) (pow x 2))) (/ (* (- 1 (/ y (- y 1))) (- y 1)) x))))) |
(/ x (- y 1)) |
(* x (- (+ (/ 1 x) (/ 1 (- y 1))) (/ y (* x (- y 1))))) |
(* x (- (+ (/ 1 x) (/ 1 (- y 1))) (/ y (* x (- y 1))))) |
(* x (- (+ (/ 1 x) (/ 1 (- y 1))) (/ y (* x (- y 1))))) |
(* -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 (/ (- y 1) x)) |
(/ (+ (* -1 (- y 1)) (* -1 (/ (* y (- y 1)) x))) x) |
(/ (- (+ (* -1 (- y 1)) (* -1 (/ (* (pow y 2) (- y 1)) (pow x 2)))) (/ (* y (- y 1)) x)) x) |
(/ (- (+ (* -1 (- y 1)) (* -1 (/ (* (pow y 3) (- y 1)) (pow x 3)))) (+ (/ (* y (- y 1)) x) (/ (* (pow y 2) (- y 1)) (pow x 2)))) x) |
(+ (log (neg (/ 1 (- y 1)))) (* -1 (log (/ -1 x)))) |
(+ (log (neg (/ 1 (- y 1)))) (+ (* -1 (log (/ -1 x))) (/ (* (+ 1 (* -1 (/ y (- y 1)))) (- y 1)) x))) |
(+ (log (neg (/ 1 (- y 1)))) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 (* (+ 1 (* -1 (/ y (- y 1)))) (- y 1))) (* 1/2 (/ (* (pow (+ 1 (* -1 (/ y (- y 1)))) 2) (pow (- y 1) 2)) x))) x)))) |
(+ (log (neg (/ 1 (- y 1)))) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 (* (+ 1 (* -1 (/ y (- y 1)))) (- y 1))) (* -1 (/ (+ (* -1/2 (* (pow (+ 1 (* -1 (/ y (- y 1)))) 2) (pow (- y 1) 2))) (* 1/3 (/ (* (pow (+ 1 (* -1 (/ y (- y 1)))) 3) (pow (- y 1) 3)) x))) x))) x)))) |
(/ x (- y 1)) |
(* -1 (* x (- (* -1 (/ (+ 1 (* -1 (/ y (- y 1)))) x)) (/ 1 (- y 1))))) |
(* -1 (* x (- (* -1 (/ (+ 1 (* -1 (/ y (- y 1)))) x)) (/ 1 (- y 1))))) |
(* -1 (* x (- (* -1 (/ (+ 1 (* -1 (/ y (- y 1)))) x)) (/ 1 (- y 1))))) |
(- 1 (+ (log (neg (/ 1 (- y 1)))) (* -1 (log (/ -1 x))))) |
(- (+ 1 (* -1 (/ (* (+ 1 (* -1 (/ y (- y 1)))) (- y 1)) x))) (+ (log (neg (/ 1 (- y 1)))) (* -1 (log (/ -1 x))))) |
(- (+ 1 (* -1 (/ (- (* -1/2 (/ (* (pow (+ 1 (* -1 (/ y (- y 1)))) 2) (pow (- y 1) 2)) x)) (* -1 (* (+ 1 (* -1 (/ y (- y 1)))) (- y 1)))) x))) (+ (log (neg (/ 1 (- y 1)))) (* -1 (log (/ -1 x))))) |
(- (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1/3 (/ (* (pow (+ 1 (* -1 (/ y (- y 1)))) 3) (pow (- y 1) 3)) x)) (* -1/2 (* (pow (+ 1 (* -1 (/ y (- y 1)))) 2) (pow (- y 1) 2)))) x)) (* -1 (* (+ 1 (* -1 (/ y (- y 1)))) (- y 1)))) x))) (+ (log (neg (/ 1 (- y 1)))) (* -1 (log (/ -1 x))))) |
(- 1 (+ (log (/ 1 (- 1 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))))) |
(+ (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)))) |
(* -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 (+ (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))))) |
(+ (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)))) |
(* -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))) |
(* -1/4 (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 (+ (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))))) |
(+ (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)))) |
(* -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))))) |
(/ x (- y 1)) |
(/ x (- y 1)) |
(/ x (- y 1)) |
(/ x (- y 1)) |
(* -1 (/ x (- y 1))) |
(* -1 (* x (+ (* -1 (/ y (* x (- y 1)))) (/ 1 (- y 1))))) |
(* -1 (* x (+ (* -1 (/ y (* x (- y 1)))) (/ 1 (- y 1))))) |
(* -1 (* x (+ (* -1 (/ y (* x (- y 1)))) (/ 1 (- y 1))))) |
(+ (log (neg (/ 1 (- y 1)))) (* -1 (log (/ -1 x)))) |
(+ (log (neg (/ 1 (- y 1)))) (+ (* -1 (log (/ -1 x))) (/ (* (- 1 (/ y (- y 1))) (- y 1)) x))) |
(+ (log (neg (/ 1 (- y 1)))) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 (* (- 1 (/ y (- y 1))) (- y 1))) (* 1/2 (/ (* (pow (- 1 (/ y (- y 1))) 2) (pow (- y 1) 2)) x))) x)))) |
(+ (log (neg (/ 1 (- y 1)))) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 (* (- 1 (/ y (- y 1))) (- y 1))) (* -1 (/ (+ (* -1/2 (* (pow (- 1 (/ y (- y 1))) 2) (pow (- y 1) 2))) (* 1/3 (/ (* (pow (- 1 (/ y (- y 1))) 3) (pow (- y 1) 3)) x))) x))) x)))) |
(- 1 (+ (log (neg (/ 1 (- y 1)))) (* -1 (log (/ -1 x))))) |
(- (+ 1 (* -1 (/ (* (- 1 (/ y (- y 1))) (- y 1)) x))) (+ (log (neg (/ 1 (- y 1)))) (* -1 (log (/ -1 x))))) |
(- (+ 1 (* -1 (/ (- (* -1/2 (/ (* (pow (- 1 (/ y (- y 1))) 2) (pow (- y 1) 2)) x)) (* -1 (* (- 1 (/ y (- y 1))) (- y 1)))) x))) (+ (log (neg (/ 1 (- y 1)))) (* -1 (log (/ -1 x))))) |
(- (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1/3 (/ (* (pow (- 1 (/ y (- y 1))) 3) (pow (- y 1) 3)) x)) (* -1/2 (* (pow (- 1 (/ y (- y 1))) 2) (pow (- y 1) 2)))) x)) (* -1 (* (- 1 (/ y (- y 1))) (- y 1)))) x))) (+ (log (neg (/ 1 (- y 1)))) (* -1 (log (/ -1 x))))) |
(/ x (- y 1)) |
(* -1 (* x (- (* -1 (/ (- 1 (/ y (- y 1))) x)) (/ 1 (- y 1))))) |
(* -1 (* x (- (* -1 (/ (- 1 (/ y (- y 1))) x)) (/ 1 (- y 1))))) |
(* -1 (* x (- (* -1 (/ (- 1 (/ y (- y 1))) x)) (/ 1 (- y 1))))) |
(* -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 (/ (- y 1) x)) |
(* -1 (/ (- (+ y (/ (* y (- y 1)) x)) 1) x)) |
(* -1 (/ (- (+ y (* -1 (/ (- (* -1 (/ (* (pow y 2) (- y 1)) x)) (* y (- y 1))) x))) 1) x)) |
(* -1 (/ (- (+ y (* -1 (/ (- (* -1 (/ (- (/ (* (pow y 3) (- y 1)) x) (* -1 (* (pow y 2) (- y 1)))) x)) (* y (- y 1))) x))) 1) x)) |
| Outputs |
|---|
(log (+ 1 (* -1 x))) |
(log1p.f64 (neg.f64 x)) |
(+ (log (+ 1 (* -1 x))) (* y (- (/ 1 (+ 1 (* -1 x))) (/ x (+ 1 (* -1 x)))))) |
(+.f64 (log1p.f64 (neg.f64 x)) y) |
(+ (log (+ 1 (* -1 x))) (* y (- (+ (* 1/2 (* y (+ (* -1 (/ (pow (- 1 x) 2) (pow (+ 1 (* -1 x)) 2))) (* 2 (/ (- 1 x) (+ 1 (* -1 x))))))) (/ 1 (+ 1 (* -1 x)))) (/ x (+ 1 (* -1 x)))))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y (log1p.f64 (neg.f64 x))) |
(+ (log (+ 1 (* -1 x))) (* y (- (+ (* y (+ (* 1/6 (* y (+ (* -6 (/ (pow (- 1 x) 2) (pow (+ 1 (* -1 x)) 2))) (+ (* 2 (/ (pow (- 1 x) 3) (pow (+ 1 (* -1 x)) 3))) (* 6 (/ (- 1 x) (+ 1 (* -1 x)))))))) (* 1/2 (+ (* -1 (/ (pow (- 1 x) 2) (pow (+ 1 (* -1 x)) 2))) (* 2 (/ (- 1 x) (+ 1 (* -1 x)))))))) (/ 1 (+ 1 (* -1 x)))) (/ x (+ 1 (* -1 x)))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) #s(literal 2 binary64) #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y (log1p.f64 (neg.f64 x))) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (+ (* -1 x) (* y (- 1 x)))) |
(*.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) |
(+ 1 (+ (* -1 x) (* y (- (+ 1 (* y (- 1 x))) x)))) |
(fma.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) y (-.f64 #s(literal 1 binary64) x)) |
(+ 1 (+ (* -1 x) (* y (- (+ 1 (* y (- (+ 1 (* y (- 1 x))) x))) x)))) |
(fma.f64 (fma.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) y (-.f64 #s(literal 1 binary64) x)) y (-.f64 #s(literal 1 binary64) x)) |
(- 1 (log (+ 1 (* -1 x)))) |
(-.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x))) |
(- (+ 1 (* y (- (/ x (+ 1 (* -1 x))) (/ 1 (+ 1 (* -1 x)))))) (log (+ 1 (* -1 x)))) |
(-.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 x))) |
(- (+ 1 (* y (- (+ (* -1/2 (* y (+ (* -1 (/ (pow (- 1 x) 2) (pow (+ 1 (* -1 x)) 2))) (* 2 (/ (- 1 x) (+ 1 (* -1 x))))))) (/ x (+ 1 (* -1 x)))) (/ 1 (+ 1 (* -1 x)))))) (log (+ 1 (* -1 x)))) |
(-.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) (log1p.f64 (neg.f64 x))) |
(- (+ 1 (* y (- (+ (* y (- (* -1/6 (* y (+ (* -6 (/ (pow (- 1 x) 2) (pow (+ 1 (* -1 x)) 2))) (+ (* 2 (/ (pow (- 1 x) 3) (pow (+ 1 (* -1 x)) 3))) (* 6 (/ (- 1 x) (+ 1 (* -1 x)))))))) (* 1/2 (+ (* -1 (/ (pow (- 1 x) 2) (pow (+ 1 (* -1 x)) 2))) (* 2 (/ (- 1 x) (+ 1 (* -1 x)))))))) (/ x (+ 1 (* -1 x)))) (/ 1 (+ 1 (* -1 x)))))) (log (+ 1 (* -1 x)))) |
(-.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) #s(literal 2 binary64) #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y #s(literal 1 binary64)) (log1p.f64 (neg.f64 x))) |
-1 |
#s(literal -1 binary64) |
(- (* -1 y) 1) |
(fma.f64 y #s(literal -1 binary64) #s(literal -1 binary64)) |
(- (* y (- (* -1 y) 1)) 1) |
(fma.f64 (fma.f64 y #s(literal -1 binary64) #s(literal -1 binary64)) y #s(literal -1 binary64)) |
(- (* y (- (* y (- (* -1 y) 1)) 1)) 1) |
(fma.f64 (fma.f64 (fma.f64 y #s(literal -1 binary64) #s(literal -1 binary64)) y #s(literal -1 binary64)) y #s(literal -1 binary64)) |
(- 1 (log (- 1 x))) |
(-.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x))) |
(- (+ 1 (* -1 (* y (+ (* -1 (/ x (- 1 x))) (/ 1 (- 1 x)))))) (log (- 1 x))) |
(-.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 x))) |
(- (+ 1 (* y (- (* -1/2 (* y (+ (* -1 (/ (pow (+ 1 (* -1 x)) 2) (pow (- 1 x) 2))) (* 2 (/ (+ 1 (* -1 x)) (- 1 x)))))) (+ (* -1 (/ x (- 1 x))) (/ 1 (- 1 x)))))) (log (- 1 x))) |
(-.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) (log1p.f64 (neg.f64 x))) |
(- (+ 1 (* y (- (* y (- (* -1/6 (* y (+ (* -6 (/ (pow (+ 1 (* -1 x)) 2) (pow (- 1 x) 2))) (+ (* 2 (/ (pow (+ 1 (* -1 x)) 3) (pow (- 1 x) 3))) (* 6 (/ (+ 1 (* -1 x)) (- 1 x))))))) (* 1/2 (+ (* -1 (/ (pow (+ 1 (* -1 x)) 2) (pow (- 1 x) 2))) (* 2 (/ (+ 1 (* -1 x)) (- 1 x))))))) (+ (* -1 (/ x (- 1 x))) (/ 1 (- 1 x)))))) (log (- 1 x))) |
(-.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) #s(literal 2 binary64) #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y #s(literal 1 binary64)) (log1p.f64 (neg.f64 x))) |
(log (- 1 x)) |
(log1p.f64 (neg.f64 x)) |
(+ (log (- 1 x)) (* y (+ (* -1 (/ x (- 1 x))) (/ 1 (- 1 x))))) |
(+.f64 (log1p.f64 (neg.f64 x)) y) |
(+ (log (- 1 x)) (* y (+ (* -1 (/ x (- 1 x))) (+ (* 1/2 (* y (+ (* -1 (/ (pow (+ 1 (* -1 x)) 2) (pow (- 1 x) 2))) (* 2 (/ (+ 1 (* -1 x)) (- 1 x)))))) (/ 1 (- 1 x)))))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y (log1p.f64 (neg.f64 x))) |
(+ (log (- 1 x)) (* y (+ (* -1 (/ x (- 1 x))) (+ (* y (+ (* 1/6 (* y (+ (* -6 (/ (pow (+ 1 (* -1 x)) 2) (pow (- 1 x) 2))) (+ (* 2 (/ (pow (+ 1 (* -1 x)) 3) (pow (- 1 x) 3))) (* 6 (/ (+ 1 (* -1 x)) (- 1 x))))))) (* 1/2 (+ (* -1 (/ (pow (+ 1 (* -1 x)) 2) (pow (- 1 x) 2))) (* 2 (/ (+ 1 (* -1 x)) (- 1 x))))))) (/ 1 (- 1 x)))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) #s(literal 2 binary64) #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y (log1p.f64 (neg.f64 x))) |
(- 1 (log (- 1 x))) |
(-.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x))) |
(- (+ 1 (* -1 (* y (+ (* -1 (/ x (- 1 x))) (/ 1 (- 1 x)))))) (log (- 1 x))) |
(-.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 x))) |
(- (+ 1 (* y (- (* -1/2 (* y (+ (* -1 (/ (pow (+ 1 (* -1 x)) 2) (pow (- 1 x) 2))) (* 2 (/ (+ 1 (* -1 x)) (- 1 x)))))) (+ (* -1 (/ x (- 1 x))) (/ 1 (- 1 x)))))) (log (- 1 x))) |
(-.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) (log1p.f64 (neg.f64 x))) |
(- (+ 1 (* y (- (* y (- (* -1/6 (* y (+ (* -6 (/ (pow (+ 1 (* -1 x)) 2) (pow (- 1 x) 2))) (+ (* 2 (/ (pow (+ 1 (* -1 x)) 3) (pow (- 1 x) 3))) (* 6 (/ (+ 1 (* -1 x)) (- 1 x))))))) (* 1/2 (+ (* -1 (/ (pow (+ 1 (* -1 x)) 2) (pow (- 1 x) 2))) (* 2 (/ (+ 1 (* -1 x)) (- 1 x))))))) (+ (* -1 (/ x (- 1 x))) (/ 1 (- 1 x)))))) (log (- 1 x))) |
(-.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) #s(literal 2 binary64) #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y #s(literal 1 binary64)) (log1p.f64 (neg.f64 x))) |
(log (- 1 x)) |
(log1p.f64 (neg.f64 x)) |
(+ (log (- 1 x)) (* y (+ (* -1 (/ x (- 1 x))) (/ 1 (- 1 x))))) |
(+.f64 (log1p.f64 (neg.f64 x)) y) |
(+ (log (- 1 x)) (* y (+ (* -1 (/ x (- 1 x))) (+ (* 1/2 (* y (+ (* -1 (/ (pow (+ 1 (* -1 x)) 2) (pow (- 1 x) 2))) (* 2 (/ (+ 1 (* -1 x)) (- 1 x)))))) (/ 1 (- 1 x)))))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y (log1p.f64 (neg.f64 x))) |
(+ (log (- 1 x)) (* y (+ (* -1 (/ x (- 1 x))) (+ (* y (+ (* 1/6 (* y (+ (* -6 (/ (pow (+ 1 (* -1 x)) 2) (pow (- 1 x) 2))) (+ (* 2 (/ (pow (+ 1 (* -1 x)) 3) (pow (- 1 x) 3))) (* 6 (/ (+ 1 (* -1 x)) (- 1 x))))))) (* 1/2 (+ (* -1 (/ (pow (+ 1 (* -1 x)) 2) (pow (- 1 x) 2))) (* 2 (/ (+ 1 (* -1 x)) (- 1 x))))))) (/ 1 (- 1 x)))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) #s(literal 2 binary64) #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y (log1p.f64 (neg.f64 x))) |
(- 1 (log (- 1 x))) |
(-.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x))) |
(- (+ 1 (* -1 (* y (+ (* -1 (/ x (- 1 x))) (/ 1 (- 1 x)))))) (log (- 1 x))) |
(-.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 x))) |
(- (+ 1 (* y (- (* -1/2 (* y (+ (* -1 (/ (pow (+ 1 (* -1 x)) 2) (pow (- 1 x) 2))) (* 2 (/ (+ 1 (* -1 x)) (- 1 x)))))) (+ (* -1 (/ x (- 1 x))) (/ 1 (- 1 x)))))) (log (- 1 x))) |
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(* (pow x 4) (- (* -1 (/ (+ 1/3 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/4)) |
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(* -1/4 x) |
(*.f64 #s(literal -1/4 binary64) x) |
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(/.f64 (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) y) x) (-.f64 #s(literal 1 binary64) y)) x) |
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(/.f64 (fma.f64 (-.f64 y (/.f64 (-.f64 (/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (/.f64 (-.f64 y #s(literal 1 binary64)) x) (*.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 y y))) (neg.f64 x)) (*.f64 (-.f64 y #s(literal 1 binary64)) y)) x)) #s(literal -1 binary64) #s(literal 1 binary64)) x) |
| 5 346× | lower-*.f32 |
| 5 344× | lower-*.f64 |
| 3 576× | lower-fma.f32 |
| 3 568× | lower-fma.f64 |
| 3 282× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 45 | 306 |
| 0 | 71 | 300 |
| 1 | 330 | 289 |
| 2 | 2805 | 289 |
| 0 | 8472 | 269 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(log.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))) (-.f64 x y) #s(literal 1 binary64))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))) (-.f64 x y) #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) (log.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))) (-.f64 x y) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))) |
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (neg.f64 x)))) |
#s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (neg.f64 x))) |
#s(approx (log (+ 1 (neg x))) (neg.f64 x)) |
(neg.f64 x) |
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)))) |
#s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x))) |
#s(approx (log (+ 1 (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x) |
(-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ x (+ -1 y)) (/.f64 x y))))) |
(log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ x (+ -1 y)) (/.f64 x y)))) |
#s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ x (+ -1 y)) (/.f64 x y))) |
#s(approx (/ x (+ -1 y)) (/.f64 x y)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 y x))) |
(log.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 y x))))) |
(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 y x)))))) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 y x)))) |
(fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) |
(/.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 y x)) |
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Compiled 18 282 to 2 677 computations (85.4% saved)
21 alts after pruning (14 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 820 | 5 | 825 |
| Fresh | 2 | 9 | 11 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 3 | 3 |
| Total | 823 | 21 | 844 |
| Status | Accuracy | Program |
|---|---|---|
| 23.8% | (-.f64 (pow.f64 (+.f64 (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ x (+ -1 y)) (/.f64 x y)))) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ x (+ -1 y)) (/.f64 x y)))) #s(literal 2 binary64)) (+.f64 (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ x (+ -1 y)) (/.f64 x y)))) #s(literal 1 binary64)))) | |
| ✓ | 73.7% | (-.f64 #s(literal 1 binary64) (log.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))) (-.f64 x y) #s(literal 1 binary64)))) |
| ▶ | 57.8% | (-.f64 #s(literal 1 binary64) (log.f64 (fma.f64 #s(approx (pow (- y 1) -1) #s(literal -1 binary64)) (-.f64 x y) #s(literal 1 binary64)))) |
| 44.2% | (-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (/ (- y 1) (- y x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))))))) | |
| 43.1% | (-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 (/.f64 (-.f64 (-.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x)) y)))) | |
| 42.8% | (-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 x #s(literal 1 binary64)) y)))) | |
| ▶ | 22.0% | (-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 #s(approx (- (- x (/ (- 1 x) y)) 1) (+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))) y)))) |
| ✓ | 39.4% | (-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 x (+.f64 #s(literal -1 binary64) y))))) |
| ✓ | 24.2% | (-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ x (+ -1 y)) (/.f64 x y))))) |
| ▶ | 17.6% | (-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ x (+ -1 y)) (neg.f64 (fma.f64 y x x)))))) |
| 20.6% | (-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ x (+ -1 y)) (neg.f64 x))))) | |
| ✓ | 57.8% | (-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (+.f64 y (log1p.f64 (neg.f64 x))))) |
| 44.2% | (-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y))))) | |
| ✓ | 60.7% | (-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 (neg.f64 x)))) |
| ▶ | 44.4% | (-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (+ y (log (+ 1 (neg x)))) (-.f64 y x)))) |
| ✓ | 45.7% | (-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)))) |
| ▶ | 45.6% | (-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/4 x) -1/3) (*.f64 #s(literal -1/4 binary64) x)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)))) |
| 46.2% | (-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/4 x) -1/3) #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)))) | |
| 45.7% | (-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x)))) | |
| ✓ | 46.3% | (-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (neg.f64 x)))) |
| 44.8% | (-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) #s(approx (* (+ (* (+ (* (+ (* -1/4 x) -1/3) x) -1/2) x) -1) x) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/4 binary64)))))) |
Compiled 418 to 352 computations (15.8% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 #s(approx (- (- x (/ (- 1 x) y)) 1) (+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))) y) | |
| cost-diff | 0 | #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 #s(approx (- (- x (/ (- 1 x) y)) 1) (+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))) y)) | |
| cost-diff | 0 | (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 #s(approx (- (- x (/ (- 1 x) y)) 1) (+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))) y))) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 #s(approx (- (- x (/ (- 1 x) y)) 1) (+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))) y)))) | |
| cost-diff | 0 | #s(approx (/ x (+ -1 y)) (neg.f64 (fma.f64 y x x))) | |
| cost-diff | 0 | #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ x (+ -1 y)) (neg.f64 (fma.f64 y x x)))) | |
| cost-diff | 0 | (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ x (+ -1 y)) (neg.f64 (fma.f64 y x x))))) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ x (+ -1 y)) (neg.f64 (fma.f64 y x x)))))) | |
| cost-diff | 0 | (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/4 x) -1/3) (*.f64 #s(literal -1/4 binary64) x)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x) | |
| cost-diff | 0 | #s(approx (log (+ 1 (neg x))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/4 x) -1/3) (*.f64 #s(literal -1/4 binary64) x)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) | |
| cost-diff | 0 | #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/4 x) -1/3) (*.f64 #s(literal -1/4 binary64) x)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x))) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/4 x) -1/3) (*.f64 #s(literal -1/4 binary64) x)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)))) | |
| cost-diff | 0 | (-.f64 y x) | |
| cost-diff | 0 | #s(approx (+ y (log (+ 1 (neg x)))) (-.f64 y x)) | |
| cost-diff | 0 | #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (+ y (log (+ 1 (neg x)))) (-.f64 y x))) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (+ y (log (+ 1 (neg x)))) (-.f64 y x)))) | |
| cost-diff | 0 | #s(approx (pow (- y 1) -1) #s(literal -1 binary64)) | |
| cost-diff | 0 | (fma.f64 #s(approx (pow (- y 1) -1) #s(literal -1 binary64)) (-.f64 x y) #s(literal 1 binary64)) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) (log.f64 (fma.f64 #s(approx (pow (- y 1) -1) #s(literal -1 binary64)) (-.f64 x y) #s(literal 1 binary64)))) | |
| cost-diff | 64 | (log.f64 (fma.f64 #s(approx (pow (- y 1) -1) #s(literal -1 binary64)) (-.f64 x y) #s(literal 1 binary64))) |
| 3 876× | lower-fma.f32 |
| 3 868× | lower-fma.f64 |
| 1 440× | lower-*.f32 |
| 1 436× | lower-*.f64 |
| 1 024× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 56 | 489 |
| 0 | 80 | 483 |
| 1 | 136 | 483 |
| 2 | 244 | 483 |
| 3 | 507 | 483 |
| 4 | 1050 | 483 |
| 5 | 2347 | 483 |
| 6 | 3809 | 483 |
| 7 | 4363 | 483 |
| 8 | 4613 | 483 |
| 9 | 4809 | 483 |
| 10 | 4814 | 483 |
| 11 | 4822 | 483 |
| 12 | 4998 | 483 |
| 13 | 5058 | 483 |
| 14 | 5069 | 483 |
| 15 | 5079 | 483 |
| 16 | 5087 | 483 |
| 17 | 5095 | 483 |
| 18 | 5095 | 483 |
| 19 | 5099 | 483 |
| 0 | 5099 | 460 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 #s(literal 1 binary64) (log.f64 (fma.f64 #s(approx (pow (- y 1) -1) #s(literal -1 binary64)) (-.f64 x y) #s(literal 1 binary64)))) |
#s(literal 1 binary64) |
(log.f64 (fma.f64 #s(approx (pow (- y 1) -1) #s(literal -1 binary64)) (-.f64 x y) #s(literal 1 binary64))) |
(fma.f64 #s(approx (pow (- y 1) -1) #s(literal -1 binary64)) (-.f64 x y) #s(literal 1 binary64)) |
#s(approx (pow (- y 1) -1) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(-.f64 x y) |
x |
y |
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (+ y (log (+ 1 (neg x)))) (-.f64 y x)))) |
#s(literal 1 binary64) |
#s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (+ y (log (+ 1 (neg x)))) (-.f64 y x))) |
#s(approx (+ y (log (+ 1 (neg x)))) (-.f64 y x)) |
(-.f64 y x) |
y |
x |
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/4 x) -1/3) (*.f64 #s(literal -1/4 binary64) x)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)))) |
#s(literal 1 binary64) |
#s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/4 x) -1/3) (*.f64 #s(literal -1/4 binary64) x)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x))) |
#s(approx (log (+ 1 (neg x))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/4 x) -1/3) (*.f64 #s(literal -1/4 binary64) x)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) |
(*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/4 x) -1/3) (*.f64 #s(literal -1/4 binary64) x)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x) |
(fma.f64 (fma.f64 #s(approx (+ (* -1/4 x) -1/3) (*.f64 #s(literal -1/4 binary64) x)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) |
(fma.f64 #s(approx (+ (* -1/4 x) -1/3) (*.f64 #s(literal -1/4 binary64) x)) x #s(literal -1/2 binary64)) |
#s(approx (+ (* -1/4 x) -1/3) (*.f64 #s(literal -1/4 binary64) x)) |
(*.f64 #s(literal -1/4 binary64) x) |
#s(literal -1/4 binary64) |
x |
#s(literal -1/2 binary64) |
#s(literal -1 binary64) |
(-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ x (+ -1 y)) (neg.f64 (fma.f64 y x x)))))) |
#s(literal 1 binary64) |
(log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ x (+ -1 y)) (neg.f64 (fma.f64 y x x))))) |
#s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ x (+ -1 y)) (neg.f64 (fma.f64 y x x)))) |
#s(approx (/ x (+ -1 y)) (neg.f64 (fma.f64 y x x))) |
(neg.f64 (fma.f64 y x x)) |
(fma.f64 y x x) |
y |
x |
(-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 #s(approx (- (- x (/ (- 1 x) y)) 1) (+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))) y)))) |
#s(literal 1 binary64) |
(log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 #s(approx (- (- x (/ (- 1 x) y)) 1) (+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))) y))) |
#s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 #s(approx (- (- x (/ (- 1 x) y)) 1) (+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))) y)) |
(/.f64 #s(approx (- (- x (/ (- 1 x) y)) 1) (+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))) y) |
#s(approx (- (- x (/ (- 1 x) y)) 1) (+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))) |
(+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) y) |
#s(literal -1 binary64) |
y |
| Outputs |
|---|
(-.f64 #s(literal 1 binary64) (log.f64 (fma.f64 #s(approx (pow (- y 1) -1) #s(literal -1 binary64)) (-.f64 x y) #s(literal 1 binary64)))) |
(-.f64 #s(literal 1 binary64) (log1p.f64 (*.f64 (-.f64 x y) #s(approx (pow (- y 1) -1) #s(literal -1 binary64))))) |
#s(literal 1 binary64) |
(log.f64 (fma.f64 #s(approx (pow (- y 1) -1) #s(literal -1 binary64)) (-.f64 x y) #s(literal 1 binary64))) |
(log1p.f64 (*.f64 (-.f64 x y) #s(approx (pow (- y 1) -1) #s(literal -1 binary64)))) |
(fma.f64 #s(approx (pow (- y 1) -1) #s(literal -1 binary64)) (-.f64 x y) #s(literal 1 binary64)) |
(fma.f64 (-.f64 x y) #s(approx (pow (- y 1) -1) #s(literal -1 binary64)) #s(literal 1 binary64)) |
#s(approx (pow (- y 1) -1) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(-.f64 x y) |
x |
y |
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (+ y (log (+ 1 (neg x)))) (-.f64 y x)))) |
#s(literal 1 binary64) |
#s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (+ y (log (+ 1 (neg x)))) (-.f64 y x))) |
#s(approx (+ y (log (+ 1 (neg x)))) (-.f64 y x)) |
(-.f64 y x) |
y |
x |
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/4 x) -1/3) (*.f64 #s(literal -1/4 binary64) x)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)))) |
#s(literal 1 binary64) |
#s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/4 x) -1/3) (*.f64 #s(literal -1/4 binary64) x)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x))) |
#s(approx (log (+ 1 (neg x))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/4 x) -1/3) (*.f64 #s(literal -1/4 binary64) x)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) |
(*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/4 x) -1/3) (*.f64 #s(literal -1/4 binary64) x)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x) |
(fma.f64 (fma.f64 #s(approx (+ (* -1/4 x) -1/3) (*.f64 #s(literal -1/4 binary64) x)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) |
(fma.f64 #s(approx (+ (* -1/4 x) -1/3) (*.f64 #s(literal -1/4 binary64) x)) x #s(literal -1/2 binary64)) |
#s(approx (+ (* -1/4 x) -1/3) (*.f64 #s(literal -1/4 binary64) x)) |
(*.f64 #s(literal -1/4 binary64) x) |
#s(literal -1/4 binary64) |
x |
#s(literal -1/2 binary64) |
#s(literal -1 binary64) |
(-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ x (+ -1 y)) (neg.f64 (fma.f64 y x x)))))) |
(-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ x (+ -1 y)) (*.f64 (-.f64 #s(literal -1 binary64) y) x))))) |
#s(literal 1 binary64) |
(log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ x (+ -1 y)) (neg.f64 (fma.f64 y x x))))) |
(log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ x (+ -1 y)) (*.f64 (-.f64 #s(literal -1 binary64) y) x)))) |
#s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ x (+ -1 y)) (neg.f64 (fma.f64 y x x)))) |
#s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ x (+ -1 y)) (*.f64 (-.f64 #s(literal -1 binary64) y) x))) |
#s(approx (/ x (+ -1 y)) (neg.f64 (fma.f64 y x x))) |
#s(approx (/ x (+ -1 y)) (*.f64 (-.f64 #s(literal -1 binary64) y) x)) |
(neg.f64 (fma.f64 y x x)) |
(*.f64 (-.f64 #s(literal -1 binary64) y) x) |
(fma.f64 y x x) |
(fma.f64 x y x) |
y |
x |
(-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 #s(approx (- (- x (/ (- 1 x) y)) 1) (+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))) y)))) |
(-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 #s(approx (- (- x (/ (- 1 x) y)) 1) (-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))) y)))) |
#s(literal 1 binary64) |
(log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 #s(approx (- (- x (/ (- 1 x) y)) 1) (+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))) y))) |
(log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 #s(approx (- (- x (/ (- 1 x) y)) 1) (-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))) y))) |
#s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 #s(approx (- (- x (/ (- 1 x) y)) 1) (+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))) y)) |
#s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 #s(approx (- (- x (/ (- 1 x) y)) 1) (-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))) y)) |
(/.f64 #s(approx (- (- x (/ (- 1 x) y)) 1) (+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))) y) |
(/.f64 #s(approx (- (- x (/ (- 1 x) y)) 1) (-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))) y) |
#s(approx (- (- x (/ (- 1 x) y)) 1) (+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))) |
#s(approx (- (- x (/ (- 1 x) y)) 1) (-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))) |
(+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) |
(-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) y) |
#s(literal -1 binary64) |
y |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.09375 | (/.f64 #s(approx (- (- x (/ (- 1 x) y)) 1) (+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))) y) | |
| accuracy | 15.599959235880998 | #s(approx (- (- x (/ (- 1 x) y)) 1) (+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))) | |
| accuracy | 24.738258223599747 | (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 #s(approx (- (- x (/ (- 1 x) y)) 1) (+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))) y))) | |
| accuracy | 36.7839902420377 | #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 #s(approx (- (- x (/ (- 1 x) y)) 1) (+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))) y)) | |
| accuracy | 0.00390625 | (-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ x (+ -1 y)) (neg.f64 (fma.f64 y x x)))))) | |
| accuracy | 20.756941031723752 | #s(approx (/ x (+ -1 y)) (neg.f64 (fma.f64 y x x))) | |
| accuracy | 24.738258223599747 | (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ x (+ -1 y)) (neg.f64 (fma.f64 y x x))))) | |
| accuracy | 39.867493257738566 | #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ x (+ -1 y)) (neg.f64 (fma.f64 y x x)))) | |
| accuracy | 0.015625 | (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/4 x) -1/3) (*.f64 #s(literal -1/4 binary64) x)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x) | |
| accuracy | 15.722311490590934 | #s(approx (log (+ 1 (neg x))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/4 x) -1/3) (*.f64 #s(literal -1/4 binary64) x)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) | |
| accuracy | 35.433012079793784 | #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/4 x) -1/3) (*.f64 #s(literal -1/4 binary64) x)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x))) | |
| accuracy | 40.193150375893055 | #s(approx (+ (* -1/4 x) -1/3) (*.f64 #s(literal -1/4 binary64) x)) | |
| accuracy | 0 | (-.f64 y x) | |
| accuracy | 0.00390625 | (-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (+ y (log (+ 1 (neg x)))) (-.f64 y x)))) | |
| accuracy | 14.146510038313151 | #s(approx (+ y (log (+ 1 (neg x)))) (-.f64 y x)) | |
| accuracy | 20.44850336578832 | #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (+ y (log (+ 1 (neg x)))) (-.f64 y x))) | |
| accuracy | 0.00390625 | (-.f64 #s(literal 1 binary64) (log.f64 (fma.f64 #s(approx (pow (- y 1) -1) #s(literal -1 binary64)) (-.f64 x y) #s(literal 1 binary64)))) | |
| accuracy | 14.48991787354327 | (fma.f64 #s(approx (pow (- y 1) -1) #s(literal -1 binary64)) (-.f64 x y) #s(literal 1 binary64)) | |
| accuracy | 20.363254503037798 | #s(approx (pow (- y 1) -1) #s(literal -1 binary64)) | |
| accuracy | 24.738258223599747 | (log.f64 (fma.f64 #s(approx (pow (- y 1) -1) #s(literal -1 binary64)) (-.f64 x y) #s(literal 1 binary64))) |
| 107.0ms | 143× | 1 | valid |
| 22.0ms | 67× | 0 | valid |
| 19.0ms | 19× | 2 | valid |
| 8.0ms | 27× | 0 | invalid |
Compiled 275 to 44 computations (84% saved)
ival-sub: 20.0ms (16.2% of total)adjust: 20.0ms (16.2% of total)ival-add: 17.0ms (13.8% of total)ival-mult: 14.0ms (11.3% of total)ival-div: 12.0ms (9.7% of total)ival-log: 12.0ms (9.7% of total)ival-pow: 11.0ms (8.9% of total)ival-log1p: 8.0ms (6.5% of total)const: 6.0ms (4.9% of total)ival-neg: 2.0ms (1.6% of total)exact: 1.0ms (0.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (log.f64 (fma.f64 #s(approx (pow (- y 1) -1) #s(literal -1 binary64)) (-.f64 x y) #s(literal 1 binary64))) (patch (log.f64 (fma.f64 #s(approx (pow (- y 1) -1) #s(literal -1 binary64)) (-.f64 x y) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 1 binary64) (log.f64 (fma.f64 #s(approx (pow (- y 1) -1) #s(literal -1 binary64)) (-.f64 x y) #s(literal 1 binary64)))) (patch (-.f64 #s(literal 1 binary64) (log.f64 (fma.f64 #s(approx (pow (- y 1) -1) #s(literal -1 binary64)) (-.f64 x y) #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(approx (pow (- y 1) -1) #s(literal -1 binary64)) (-.f64 x y) #s(literal 1 binary64)) (patch (fma.f64 #s(approx (pow (- y 1) -1) #s(literal -1 binary64)) (-.f64 x y) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (pow (- y 1) -1) #s(literal -1 binary64)) (patch #s(approx (pow (- y 1) -1) #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (+ y (log (+ 1 (neg x)))) (-.f64 y x)))) (patch (-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (+ y (log (+ 1 (neg x)))) (-.f64 y x)))) #<representation binary64>) () ()) |
#s(alt #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (+ y (log (+ 1 (neg x)))) (-.f64 y x))) (patch #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (+ y (log (+ 1 (neg x)))) (-.f64 y x))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ y (log (+ 1 (neg x)))) (-.f64 y x)) (patch #s(approx (+ y (log (+ 1 (neg x)))) (-.f64 y x)) #<representation binary64>) () ()) |
#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/4 x) -1/3) (*.f64 #s(literal -1/4 binary64) x)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)))) (patch (-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/4 x) -1/3) (*.f64 #s(literal -1/4 binary64) x)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)))) #<representation binary64>) () ()) |
#s(alt #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/4 x) -1/3) (*.f64 #s(literal -1/4 binary64) x)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x))) (patch #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/4 x) -1/3) (*.f64 #s(literal -1/4 binary64) x)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x))) #<representation binary64>) () ()) |
#s(alt #s(approx (log (+ 1 (neg x))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/4 x) -1/3) (*.f64 #s(literal -1/4 binary64) x)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) (patch #s(approx (log (+ 1 (neg x))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/4 x) -1/3) (*.f64 #s(literal -1/4 binary64) x)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/4 x) -1/3) (*.f64 #s(literal -1/4 binary64) x)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x) (patch (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/4 x) -1/3) (*.f64 #s(literal -1/4 binary64) x)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ x (+ -1 y)) (neg.f64 (fma.f64 y x x)))))) (patch (-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ x (+ -1 y)) (neg.f64 (fma.f64 y x x)))))) #<representation binary64>) () ()) |
#s(alt (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ x (+ -1 y)) (neg.f64 (fma.f64 y x x))))) (patch (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ x (+ -1 y)) (neg.f64 (fma.f64 y x x))))) #<representation binary64>) () ()) |
#s(alt #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ x (+ -1 y)) (neg.f64 (fma.f64 y x x)))) (patch #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ x (+ -1 y)) (neg.f64 (fma.f64 y x x)))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ x (+ -1 y)) (neg.f64 (fma.f64 y x x))) (patch #s(approx (/ x (+ -1 y)) (neg.f64 (fma.f64 y x x))) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 #s(approx (- (- x (/ (- 1 x) y)) 1) (+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))) y)))) (patch (-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 #s(approx (- (- x (/ (- 1 x) y)) 1) (+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))) y)))) #<representation binary64>) () ()) |
#s(alt (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 #s(approx (- (- x (/ (- 1 x) y)) 1) (+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))) y))) (patch (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 #s(approx (- (- x (/ (- 1 x) y)) 1) (+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))) y))) #<representation binary64>) () ()) |
#s(alt #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 #s(approx (- (- x (/ (- 1 x) y)) 1) (+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))) y)) (patch #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 #s(approx (- (- x (/ (- 1 x) y)) 1) (+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))) y)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (- (- x (/ (- 1 x) y)) 1) (+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))) y) (patch (/.f64 #s(approx (- (- x (/ (- 1 x) y)) 1) (+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))) y) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* -1/4 x) -1/3) (*.f64 #s(literal -1/4 binary64) x)) (patch #s(approx (+ (* -1/4 x) -1/3) (*.f64 #s(literal -1/4 binary64) x)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (- x (/ (- 1 x) y)) 1) (+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))) (patch #s(approx (- (- x (/ (- 1 x) y)) 1) (+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))) #<representation binary64>) () ()) |
| Outputs |
|---|
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6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | y | @ | -inf | ((log (+ (* (pow (- y 1) -1) (- x y)) 1)) (- 1 (log (+ (* (pow (- y 1) -1) (- x y)) 1))) (+ (* (pow (- y 1) -1) (- x y)) 1) (pow (- y 1) -1) (- 1 (log (- 1 (/ (- x y) (- 1 y))))) (log (- 1 (/ (- x y) (- 1 y)))) (+ y (log (+ 1 (neg x)))) (- y x) (- 1 (log (- 1 (/ (- x y) (- 1 y))))) (log (- 1 (/ (- x y) (- 1 y)))) (log (+ 1 (neg x))) (* (+ (* (+ (* (+ (* -1/4 x) -1/3) x) -1/2) x) -1) x) (- 1 (log (- 1 (/ (- x y) (- 1 y))))) (log (- 1 (/ (- x y) (- 1 y)))) (- 1 (/ (- x y) (- 1 y))) (/ x (+ -1 y)) (- 1 (log (- 1 (/ (- x y) (- 1 y))))) (log (- 1 (/ (- x y) (- 1 y)))) (- 1 (/ (- x y) (- 1 y))) (/ (- (- x (/ (- 1 x) y)) 1) y) (+ (* -1/4 x) -1/3) (- (- x (/ (- 1 x) y)) 1)) |
| 2.0ms | y | @ | 0 | ((log (+ (* (pow (- y 1) -1) (- x y)) 1)) (- 1 (log (+ (* (pow (- y 1) -1) (- x y)) 1))) (+ (* (pow (- y 1) -1) (- x y)) 1) (pow (- y 1) -1) (- 1 (log (- 1 (/ (- x y) (- 1 y))))) (log (- 1 (/ (- x y) (- 1 y)))) (+ y (log (+ 1 (neg x)))) (- y x) (- 1 (log (- 1 (/ (- x y) (- 1 y))))) (log (- 1 (/ (- x y) (- 1 y)))) (log (+ 1 (neg x))) (* (+ (* (+ (* (+ (* -1/4 x) -1/3) x) -1/2) x) -1) x) (- 1 (log (- 1 (/ (- x y) (- 1 y))))) (log (- 1 (/ (- x y) (- 1 y)))) (- 1 (/ (- x y) (- 1 y))) (/ x (+ -1 y)) (- 1 (log (- 1 (/ (- x y) (- 1 y))))) (log (- 1 (/ (- x y) (- 1 y)))) (- 1 (/ (- x y) (- 1 y))) (/ (- (- x (/ (- 1 x) y)) 1) y) (+ (* -1/4 x) -1/3) (- (- x (/ (- 1 x) y)) 1)) |
| 2.0ms | x | @ | -inf | ((log (+ (* (pow (- y 1) -1) (- x y)) 1)) (- 1 (log (+ (* (pow (- y 1) -1) (- x y)) 1))) (+ (* (pow (- y 1) -1) (- x y)) 1) (pow (- y 1) -1) (- 1 (log (- 1 (/ (- x y) (- 1 y))))) (log (- 1 (/ (- x y) (- 1 y)))) (+ y (log (+ 1 (neg x)))) (- y x) (- 1 (log (- 1 (/ (- x y) (- 1 y))))) (log (- 1 (/ (- x y) (- 1 y)))) (log (+ 1 (neg x))) (* (+ (* (+ (* (+ (* -1/4 x) -1/3) x) -1/2) x) -1) x) (- 1 (log (- 1 (/ (- x y) (- 1 y))))) (log (- 1 (/ (- x y) (- 1 y)))) (- 1 (/ (- x y) (- 1 y))) (/ x (+ -1 y)) (- 1 (log (- 1 (/ (- x y) (- 1 y))))) (log (- 1 (/ (- x y) (- 1 y)))) (- 1 (/ (- x y) (- 1 y))) (/ (- (- x (/ (- 1 x) y)) 1) y) (+ (* -1/4 x) -1/3) (- (- x (/ (- 1 x) y)) 1)) |
| 2.0ms | y | @ | inf | ((log (+ (* (pow (- y 1) -1) (- x y)) 1)) (- 1 (log (+ (* (pow (- y 1) -1) (- x y)) 1))) (+ (* (pow (- y 1) -1) (- x y)) 1) (pow (- y 1) -1) (- 1 (log (- 1 (/ (- x y) (- 1 y))))) (log (- 1 (/ (- x y) (- 1 y)))) (+ y (log (+ 1 (neg x)))) (- y x) (- 1 (log (- 1 (/ (- x y) (- 1 y))))) (log (- 1 (/ (- x y) (- 1 y)))) (log (+ 1 (neg x))) (* (+ (* (+ (* (+ (* -1/4 x) -1/3) x) -1/2) x) -1) x) (- 1 (log (- 1 (/ (- x y) (- 1 y))))) (log (- 1 (/ (- x y) (- 1 y)))) (- 1 (/ (- x y) (- 1 y))) (/ x (+ -1 y)) (- 1 (log (- 1 (/ (- x y) (- 1 y))))) (log (- 1 (/ (- x y) (- 1 y)))) (- 1 (/ (- x y) (- 1 y))) (/ (- (- x (/ (- 1 x) y)) 1) y) (+ (* -1/4 x) -1/3) (- (- x (/ (- 1 x) y)) 1)) |
| 2.0ms | x | @ | inf | ((log (+ (* (pow (- y 1) -1) (- x y)) 1)) (- 1 (log (+ (* (pow (- y 1) -1) (- x y)) 1))) (+ (* (pow (- y 1) -1) (- x y)) 1) (pow (- y 1) -1) (- 1 (log (- 1 (/ (- x y) (- 1 y))))) (log (- 1 (/ (- x y) (- 1 y)))) (+ y (log (+ 1 (neg x)))) (- y x) (- 1 (log (- 1 (/ (- x y) (- 1 y))))) (log (- 1 (/ (- x y) (- 1 y)))) (log (+ 1 (neg x))) (* (+ (* (+ (* (+ (* -1/4 x) -1/3) x) -1/2) x) -1) x) (- 1 (log (- 1 (/ (- x y) (- 1 y))))) (log (- 1 (/ (- x y) (- 1 y)))) (- 1 (/ (- x y) (- 1 y))) (/ x (+ -1 y)) (- 1 (log (- 1 (/ (- x y) (- 1 y))))) (log (- 1 (/ (- x y) (- 1 y)))) (- 1 (/ (- x y) (- 1 y))) (/ (- (- x (/ (- 1 x) y)) 1) y) (+ (* -1/4 x) -1/3) (- (- x (/ (- 1 x) y)) 1)) |
| 1× | egg-herbie |
| 7 004× | lower-fma.f64 |
| 7 004× | lower-fma.f32 |
| 4 320× | lower-+.f64 |
| 4 320× | lower-+.f32 |
| 3 392× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 916 | 12132 |
| 1 | 2996 | 8624 |
| 0 | 9342 | 8184 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(log (+ 1 (* -1 x))) |
(+ (log (+ 1 (* -1 x))) (* y (- (/ 1 (+ 1 (* -1 x))) (/ x (+ 1 (* -1 x)))))) |
(+ (log (+ 1 (* -1 x))) (* y (- (+ (* 1/2 (* y (+ (* -1 (/ (pow (- 1 x) 2) (pow (+ 1 (* -1 x)) 2))) (* 2 (/ (- 1 x) (+ 1 (* -1 x))))))) (/ 1 (+ 1 (* -1 x)))) (/ x (+ 1 (* -1 x)))))) |
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(- 1 (log (+ 1 (* -1 x)))) |
(- (+ 1 (* y (- (/ x (+ 1 (* -1 x))) (/ 1 (+ 1 (* -1 x)))))) (log (+ 1 (* -1 x)))) |
(- (+ 1 (* y (- (+ (* -1/2 (* y (+ (* -1 (/ (pow (- 1 x) 2) (pow (+ 1 (* -1 x)) 2))) (* 2 (/ (- 1 x) (+ 1 (* -1 x))))))) (/ x (+ 1 (* -1 x)))) (/ 1 (+ 1 (* -1 x)))))) (log (+ 1 (* -1 x)))) |
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(+ 1 (* -1 x)) |
(+ 1 (+ (* -1 x) (* y (- 1 x)))) |
(+ 1 (+ (* -1 x) (* y (- (+ 1 (* y (- 1 x))) x)))) |
(+ 1 (+ (* -1 x) (* y (- (+ 1 (* y (- (+ 1 (* y (- 1 x))) x))) x)))) |
-1 |
(- (* -1 y) 1) |
(- (* y (- (* -1 y) 1)) 1) |
(- (* y (- (* y (- (* -1 y) 1)) 1)) 1) |
(- 1 (log (- 1 x))) |
(- (+ 1 (* -1 (* y (+ (* -1 (/ x (- 1 x))) (/ 1 (- 1 x)))))) (log (- 1 x))) |
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(log (- 1 x)) |
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(log (- 1 x)) |
(+ y (log (- 1 x))) |
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(* -1 x) |
(- y x) |
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(- 1 (log (- 1 x))) |
(- (+ 1 (* -1 (* y (+ (* -1 (/ x (- 1 x))) (/ 1 (- 1 x)))))) (log (- 1 x))) |
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(log (- 1 x)) |
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(- 1 x) |
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(* -1 x) |
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(log (- 1 x)) |
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(+ (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)))))) |
(- 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) |
(/ (- x 1) (pow y 2)) |
(/ (- (+ x (* y (- x 1))) 1) (pow y 2)) |
(/ (- (+ x (* y (- x 1))) 1) (pow y 2)) |
(/ (- (+ x (* y (- x 1))) 1) (pow y 2)) |
(/ (- x 1) y) |
(/ (- (+ x (* y (- x 1))) 1) y) |
(/ (- (+ x (* y (- x 1))) 1) y) |
(/ (- (+ x (* y (- x 1))) 1) y) |
(+ (log (- x 1)) (log (/ 1 y))) |
(+ (log (- x 1)) (+ (log (/ 1 y)) (* -1 (/ (+ 1 (* -1 x)) (* y (- x 1)))))) |
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(- 1 (+ (log (- x 1)) (log (/ 1 y)))) |
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(/ (- x 1) y) |
(/ (- (+ x (* -1 (/ (+ 1 (* -1 x)) y))) 1) y) |
(/ (- (+ x (* -1 (/ (+ 1 (* -1 x)) (pow y 2)))) (+ 1 (+ (* -1 (/ x y)) (/ 1 y)))) y) |
(/ (- (+ x (* -1 (/ (+ 1 (* -1 x)) (pow y 3)))) (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 2))))))) y) |
(/ 1 y) |
(/ (+ 1 (/ 1 y)) y) |
(/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y) |
(/ (+ 1 (+ (/ 1 y) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3))))) y) |
(- 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))))))) |
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y |
(* y (+ 1 (/ (log (- 1 x)) y))) |
(* y (+ 1 (/ (log (- 1 x)) y))) |
(* y (+ 1 (/ (log (- 1 x)) y))) |
y |
(* y (+ 1 (* -1 (/ x y)))) |
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(* y (+ 1 (* -1 (/ x y)))) |
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(* -1 (/ (+ 1 (* -1 x)) y)) |
(/ (- (/ x y) (+ 1 (+ (* -1 x) (/ 1 y)))) y) |
(/ (- (+ (/ x y) (/ x (pow y 2))) (+ 1 (+ (* -1 x) (+ (/ 1 y) (/ 1 (pow y 2)))))) y) |
(/ (- (+ (/ x y) (+ (/ x (pow y 2)) (/ x (pow y 3)))) (+ 1 (+ (* -1 x) (+ (/ 1 y) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3))))))) y) |
(/ x y) |
(/ (+ x (/ x y)) y) |
(/ (- (+ x (/ x (pow y 2))) (* -1 (/ x y))) y) |
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(* -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)) |
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(* -1 (/ x (- 1 y))) |
(* x (- (+ (/ 1 x) (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
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(+ (log (neg (/ 1 (- 1 y)))) (* -1 (log (/ 1 x)))) |
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(+ (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))))))) |
(* -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)))) |
(/ (* x (+ 1 (/ 1 y))) y) |
(* x (+ (* -1 (/ (+ 1 (/ 1 y)) (* x y))) (+ (/ 1 y) (/ 1 (pow y 2))))) |
(* x (+ (* -1 (/ (+ 1 (/ 1 y)) (* x y))) (+ (/ 1 y) (/ 1 (pow y 2))))) |
(* x (+ (* -1 (/ (+ 1 (/ 1 y)) (* x y))) (+ (/ 1 y) (/ 1 (pow y 2))))) |
(* -1/4 x) |
(* -1 (* x (+ 1/4 (* 1/3 (/ 1 x))))) |
(* -1 (* x (+ 1/4 (* 1/3 (/ 1 x))))) |
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(+ (log (neg (/ 1 (- y 1)))) (+ (* -1 (log (/ -1 x))) (/ (* (+ 1 (* -1 (/ y (- y 1)))) (- y 1)) x))) |
(+ (log (neg (/ 1 (- y 1)))) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 (* (+ 1 (* -1 (/ y (- y 1)))) (- y 1))) (* 1/2 (/ (* (pow (+ 1 (* -1 (/ y (- y 1)))) 2) (pow (- y 1) 2)) x))) x)))) |
(+ (log (neg (/ 1 (- y 1)))) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 (* (+ 1 (* -1 (/ y (- y 1)))) (- y 1))) (* -1 (/ (+ (* -1/2 (* (pow (+ 1 (* -1 (/ y (- y 1)))) 2) (pow (- y 1) 2))) (* 1/3 (/ (* (pow (+ 1 (* -1 (/ y (- y 1)))) 3) (pow (- y 1) 3)) x))) x))) x)))) |
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(- (+ 1 (* -1 (/ (* (+ 1 (* -1 (/ y (- y 1)))) (- y 1)) x))) (+ (log (neg (/ 1 (- y 1)))) (* -1 (log (/ -1 x))))) |
(- (+ 1 (* -1 (/ (- (* -1/2 (/ (* (pow (+ 1 (* -1 (/ y (- y 1)))) 2) (pow (- y 1) 2)) x)) (* -1 (* (+ 1 (* -1 (/ y (- y 1)))) (- y 1)))) x))) (+ (log (neg (/ 1 (- y 1)))) (* -1 (log (/ -1 x))))) |
(- (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1/3 (/ (* (pow (+ 1 (* -1 (/ y (- y 1)))) 3) (pow (- y 1) 3)) x)) (* -1/2 (* (pow (+ 1 (* -1 (/ y (- y 1)))) 2) (pow (- y 1) 2)))) x)) (* -1 (* (+ 1 (* -1 (/ y (- y 1)))) (- y 1)))) x))) (+ (log (neg (/ 1 (- y 1)))) (* -1 (log (/ -1 x))))) |
(/ x (- y 1)) |
(* -1 (* x (- (* -1 (/ (+ 1 (* -1 (/ y (- y 1)))) x)) (/ 1 (- y 1))))) |
(* -1 (* x (- (* -1 (/ (+ 1 (* -1 (/ y (- y 1)))) x)) (/ 1 (- y 1))))) |
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(- (+ 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))))) |
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(* -1 (* x (+ 1 (* -1 (/ y x))))) |
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(- (* -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))) |
(* -1/4 (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)) |
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(* -1 (* x (+ (* -1 (/ (- 1 (* -1 (/ y (- 1 y)))) x)) (/ 1 (- 1 y))))) |
(* -1 (* x (+ (* -1 (/ (- 1 (* -1 (/ y (- 1 y)))) x)) (/ 1 (- 1 y))))) |
(/ x (- y 1)) |
(/ x (- y 1)) |
(/ x (- y 1)) |
(/ x (- y 1)) |
(- 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))))) |
(+ (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)))) |
(* -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))))) |
(/ (* x (+ 1 (/ 1 y))) y) |
(* -1 (* x (+ (* -1 (/ (+ 1 (/ 1 y)) y)) (+ (/ 1 (* x y)) (/ 1 (* x (pow y 2))))))) |
(* -1 (* x (+ (* -1 (/ (+ 1 (/ 1 y)) y)) (+ (/ 1 (* x y)) (/ 1 (* x (pow y 2))))))) |
(* -1 (* x (+ (* -1 (/ (+ 1 (/ 1 y)) y)) (+ (/ 1 (* x y)) (/ 1 (* x (pow y 2))))))) |
(* -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))))) |
(* 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))))) |
| Outputs |
|---|
(log (+ 1 (* -1 x))) |
(log1p.f64 (neg.f64 x)) |
(+ (log (+ 1 (* -1 x))) (* y (- (/ 1 (+ 1 (* -1 x))) (/ x (+ 1 (* -1 x)))))) |
(+.f64 (log1p.f64 (neg.f64 x)) y) |
(+ (log (+ 1 (* -1 x))) (* y (- (+ (* 1/2 (* y (+ (* -1 (/ (pow (- 1 x) 2) (pow (+ 1 (* -1 x)) 2))) (* 2 (/ (- 1 x) (+ 1 (* -1 x))))))) (/ 1 (+ 1 (* -1 x)))) (/ x (+ 1 (* -1 x)))))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y (log1p.f64 (neg.f64 x))) |
(+ (log (+ 1 (* -1 x))) (* y (- (+ (* y (+ (* 1/6 (* y (+ (* -6 (/ (pow (- 1 x) 2) (pow (+ 1 (* -1 x)) 2))) (+ (* 2 (/ (pow (- 1 x) 3) (pow (+ 1 (* -1 x)) 3))) (* 6 (/ (- 1 x) (+ 1 (* -1 x)))))))) (* 1/2 (+ (* -1 (/ (pow (- 1 x) 2) (pow (+ 1 (* -1 x)) 2))) (* 2 (/ (- 1 x) (+ 1 (* -1 x)))))))) (/ 1 (+ 1 (* -1 x)))) (/ x (+ 1 (* -1 x)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y (log1p.f64 (neg.f64 x))) |
(- 1 (log (+ 1 (* -1 x)))) |
(-.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x))) |
(- (+ 1 (* y (- (/ x (+ 1 (* -1 x))) (/ 1 (+ 1 (* -1 x)))))) (log (+ 1 (* -1 x)))) |
(-.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 x))) |
(- (+ 1 (* y (- (+ (* -1/2 (* y (+ (* -1 (/ (pow (- 1 x) 2) (pow (+ 1 (* -1 x)) 2))) (* 2 (/ (- 1 x) (+ 1 (* -1 x))))))) (/ x (+ 1 (* -1 x)))) (/ 1 (+ 1 (* -1 x)))))) (log (+ 1 (* -1 x)))) |
(-.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) (log1p.f64 (neg.f64 x))) |
(- (+ 1 (* y (- (+ (* y (- (* -1/6 (* y (+ (* -6 (/ (pow (- 1 x) 2) (pow (+ 1 (* -1 x)) 2))) (+ (* 2 (/ (pow (- 1 x) 3) (pow (+ 1 (* -1 x)) 3))) (* 6 (/ (- 1 x) (+ 1 (* -1 x)))))))) (* 1/2 (+ (* -1 (/ (pow (- 1 x) 2) (pow (+ 1 (* -1 x)) 2))) (* 2 (/ (- 1 x) (+ 1 (* -1 x)))))))) (/ x (+ 1 (* -1 x)))) (/ 1 (+ 1 (* -1 x)))))) (log (+ 1 (* -1 x)))) |
(-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y #s(literal 1 binary64)) (log1p.f64 (neg.f64 x))) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (+ (* -1 x) (* y (- 1 x)))) |
(*.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) |
(+ 1 (+ (* -1 x) (* y (- (+ 1 (* y (- 1 x))) x)))) |
(fma.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) y (-.f64 #s(literal 1 binary64) x)) |
(+ 1 (+ (* -1 x) (* y (- (+ 1 (* y (- (+ 1 (* y (- 1 x))) x))) x)))) |
(fma.f64 (fma.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) y (-.f64 #s(literal 1 binary64) x)) y (-.f64 #s(literal 1 binary64) x)) |
-1 |
#s(literal -1 binary64) |
(- (* -1 y) 1) |
(fma.f64 y #s(literal -1 binary64) #s(literal -1 binary64)) |
(- (* y (- (* -1 y) 1)) 1) |
(fma.f64 (fma.f64 y #s(literal -1 binary64) #s(literal -1 binary64)) y #s(literal -1 binary64)) |
(- (* y (- (* y (- (* -1 y) 1)) 1)) 1) |
(fma.f64 (fma.f64 (fma.f64 y #s(literal -1 binary64) #s(literal -1 binary64)) y #s(literal -1 binary64)) y #s(literal -1 binary64)) |
(- 1 (log (- 1 x))) |
(-.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x))) |
(- (+ 1 (* -1 (* y (+ (* -1 (/ x (- 1 x))) (/ 1 (- 1 x)))))) (log (- 1 x))) |
(-.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 x))) |
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(-.f64 (neg.f64 (log1p.f64 (neg.f64 y))) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(+ (log (/ 1 (- 1 y))) (+ (* -1 (log (/ -1 x))) (* -1 (/ (* (- 1 y) (- 1 (* -1 (/ y (- 1 y))))) x)))) |
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (-.f64 y #s(literal 1 binary64)))) (/.f64 (-.f64 y #s(literal 1 binary64)) x) (-.f64 (neg.f64 (log1p.f64 (neg.f64 y))) (log.f64 (/.f64 #s(literal -1 binary64) x)))) |
(+ (log (/ 1 (- 1 y))) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* 1/2 (/ (* (pow (- 1 y) 2) (pow (- 1 (* -1 (/ y (- 1 y)))) 2)) x)) (* (- 1 y) (- 1 (* -1 (/ y (- 1 y)))))) x)))) |
(-.f64 (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (-.f64 y #s(literal 1 binary64)))) #s(literal 2 binary64)) x) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (/.f64 y (-.f64 y #s(literal 1 binary64)))))) (neg.f64 x)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (log1p.f64 (neg.f64 y))) |
(+ (log (/ 1 (- 1 y))) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow (- 1 y) 2) (pow (- 1 (* -1 (/ y (- 1 y)))) 2))) (* -1/3 (/ (* (pow (- 1 y) 3) (pow (- 1 (* -1 (/ y (- 1 y)))) 3)) x))) x)) (* (- 1 y) (- 1 (* -1 (/ y (- 1 y)))))) x)))) |
(-.f64 (-.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (/.f64 y (-.f64 y #s(literal 1 binary64)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (-.f64 y #s(literal 1 binary64)))) #s(literal 3 binary64)) x) (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (-.f64 y #s(literal 1 binary64)))) #s(literal 2 binary64)))) (neg.f64 x))) (neg.f64 x)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (log1p.f64 (neg.f64 y))) |
(* -1 (/ x (- 1 y))) |
(/.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) y)) |
(* -1 (* x (+ (* -1 (/ (- 1 (* -1 (/ y (- 1 y)))) x)) (/ 1 (- 1 y))))) |
(*.f64 (-.f64 (/.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (-.f64 y #s(literal 1 binary64)))) x)) (neg.f64 x)) |
(* -1 (* x (+ (* -1 (/ (- 1 (* -1 (/ y (- 1 y)))) x)) (/ 1 (- 1 y))))) |
(*.f64 (-.f64 (/.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (-.f64 y #s(literal 1 binary64)))) x)) (neg.f64 x)) |
(* -1 (* x (+ (* -1 (/ (- 1 (* -1 (/ y (- 1 y)))) x)) (/ 1 (- 1 y))))) |
(*.f64 (-.f64 (/.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (-.f64 y #s(literal 1 binary64)))) x)) (neg.f64 x)) |
(/ (* x (+ 1 (/ 1 y))) y) |
(/.f64 (+.f64 (/.f64 x y) x) y) |
(* -1 (* x (+ (* -1 (/ (+ 1 (/ 1 y)) y)) (+ (/ 1 (* x y)) (/ 1 (* x (pow y 2))))))) |
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) x)) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) y)) (neg.f64 x)) |
(* -1 (* x (+ (* -1 (/ (+ 1 (/ 1 y)) y)) (+ (/ 1 (* x y)) (/ 1 (* x (pow y 2))))))) |
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) x)) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) y)) (neg.f64 x)) |
(* -1 (* x (+ (* -1 (/ (+ 1 (/ 1 y)) y)) (+ (/ 1 (* x y)) (/ 1 (* x (pow y 2))))))) |
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) x)) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) y)) (neg.f64 x)) |
(* -1/4 x) |
(*.f64 #s(literal -1/4 binary64) x) |
(* -1 (* x (+ 1/4 (* 1/3 (/ 1 x))))) |
(*.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/3 binary64) x)) (neg.f64 x)) |
(* -1 (* x (+ 1/4 (* 1/3 (/ 1 x))))) |
(*.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/3 binary64) x)) (neg.f64 x)) |
(* -1 (* x (+ 1/4 (* 1/3 (/ 1 x))))) |
(*.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/3 binary64) x)) (neg.f64 x)) |
(* x (+ 1 (/ 1 y))) |
(+.f64 (/.f64 x y) x) |
(* -1 (* x (- (+ (/ 1 x) (/ 1 (* x y))) (+ 1 (/ 1 y))))) |
(*.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) (neg.f64 x)) |
(* -1 (* x (- (+ (/ 1 x) (/ 1 (* x y))) (+ 1 (/ 1 y))))) |
(*.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) (neg.f64 x)) |
(* -1 (* x (- (+ (/ 1 x) (/ 1 (* x y))) (+ 1 (/ 1 y))))) |
(*.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) (neg.f64 x)) |
| 5 582× | lower-*.f32 |
| 5 578× | lower-*.f64 |
| 3 912× | lower-fma.f32 |
| 3 904× | lower-fma.f64 |
| 3 456× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 56 | 421 |
| 0 | 80 | 415 |
| 1 | 396 | 415 |
| 2 | 3283 | 415 |
| 0 | 8897 | 398 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(log.f64 (fma.f64 #s(approx (pow (- y 1) -1) #s(literal -1 binary64)) (-.f64 x y) #s(literal 1 binary64))) |
(-.f64 #s(literal 1 binary64) (log.f64 (fma.f64 #s(approx (pow (- y 1) -1) #s(literal -1 binary64)) (-.f64 x y) #s(literal 1 binary64)))) |
(fma.f64 #s(approx (pow (- y 1) -1) #s(literal -1 binary64)) (-.f64 x y) #s(literal 1 binary64)) |
#s(approx (pow (- y 1) -1) #s(literal -1 binary64)) |
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (+ y (log (+ 1 (neg x)))) (-.f64 y x)))) |
#s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (+ y (log (+ 1 (neg x)))) (-.f64 y x))) |
#s(approx (+ y (log (+ 1 (neg x)))) (-.f64 y x)) |
(-.f64 y x) |
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/4 x) -1/3) (*.f64 #s(literal -1/4 binary64) x)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)))) |
#s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/4 x) -1/3) (*.f64 #s(literal -1/4 binary64) x)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x))) |
#s(approx (log (+ 1 (neg x))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/4 x) -1/3) (*.f64 #s(literal -1/4 binary64) x)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) |
(*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/4 x) -1/3) (*.f64 #s(literal -1/4 binary64) x)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x) |
(-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ x (+ -1 y)) (neg.f64 (fma.f64 y x x)))))) |
(log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ x (+ -1 y)) (neg.f64 (fma.f64 y x x))))) |
#s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ x (+ -1 y)) (neg.f64 (fma.f64 y x x)))) |
#s(approx (/ x (+ -1 y)) (neg.f64 (fma.f64 y x x))) |
(-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 #s(approx (- (- x (/ (- 1 x) y)) 1) (+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))) y)))) |
(log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 #s(approx (- (- x (/ (- 1 x) y)) 1) (+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))) y))) |
#s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 #s(approx (- (- x (/ (- 1 x) y)) 1) (+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))) y)) |
(/.f64 #s(approx (- (- x (/ (- 1 x) y)) 1) (+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))) y) |
#s(approx (+ (* -1/4 x) -1/3) (*.f64 #s(literal -1/4 binary64) x)) |
#s(approx (- (- x (/ (- 1 x) y)) 1) (+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))) |
| Outputs |
|---|
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Compiled 14 628 to 1 660 computations (88.7% saved)
23 alts after pruning (12 fresh and 11 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 679 | 3 | 682 |
| Fresh | 0 | 9 | 9 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 7 | 7 |
| Total | 680 | 23 | 703 |
| Status | Accuracy | Program |
|---|---|---|
| 23.8% | (-.f64 (pow.f64 (+.f64 (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ x (+ -1 y)) (/.f64 x y)))) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ x (+ -1 y)) (/.f64 x y)))) #s(literal 2 binary64)) (+.f64 (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ x (+ -1 y)) (/.f64 x y)))) #s(literal 1 binary64)))) | |
| 57.8% | (-.f64 #s(literal 1 binary64) (log1p.f64 (*.f64 (-.f64 x y) #s(approx (pow (- y 1) -1) #s(literal -1 binary64))))) | |
| ✓ | 73.7% | (-.f64 #s(literal 1 binary64) (log.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))) (-.f64 x y) #s(literal 1 binary64)))) |
| 44.2% | (-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (/ (- y 1) (- y x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))))))) | |
| 43.1% | (-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 (/.f64 (-.f64 (-.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x)) y)))) | |
| 42.8% | (-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 x #s(literal 1 binary64)) y)))) | |
| ✓ | 22.0% | (-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 #s(approx (- (- x (/ (- 1 x) y)) 1) (+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))) y)))) |
| ✓ | 39.4% | (-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 x (+.f64 #s(literal -1 binary64) y))))) |
| ✓ | 24.2% | (-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ x (+ -1 y)) (/.f64 x y))))) |
| ✓ | 17.6% | (-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ x (+ -1 y)) (neg.f64 (fma.f64 y x x)))))) |
| 20.6% | (-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ x (+ -1 y)) (neg.f64 x))))) | |
| ✓ | 57.8% | (-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (+.f64 y (log1p.f64 (neg.f64 x))))) |
| 44.2% | (-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y))))) | |
| ✓ | 60.7% | (-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 (neg.f64 x)))) |
| 44.2% | (-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (+ y (log (+ 1 (neg x)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) (*.f64 (+.f64 x y) (-.f64 y x))))))) | |
| ✓ | 44.4% | (-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (+ y (log (+ 1 (neg x)))) (-.f64 y x)))) |
| 44.4% | (-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (+ y (log (+ 1 (neg x)))) #s(approx (- y x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y))))) | |
| ✓ | 45.7% | (-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)))) |
| ✓ | 45.6% | (-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/4 x) -1/3) (*.f64 #s(literal -1/4 binary64) x)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)))) |
| 46.2% | (-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/4 x) -1/3) #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)))) | |
| 45.7% | (-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x)))) | |
| ✓ | 46.3% | (-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (neg.f64 x)))) |
| 44.8% | (-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) #s(approx (* (+ (* (+ (* (+ (* -1/4 x) -1/3) x) -1/2) x) -1) x) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/4 binary64)))))) |
Compiled 710 to 419 computations (41% saved)
| Inputs |
|---|
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (neg.f64 x)))) |
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (+ y (log (+ 1 (neg x)))) (-.f64 y x)))) |
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x)))) |
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)))) |
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/4 x) -1/3) #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)))) |
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (+ y (log (+ 1 (neg x)))) #s(approx (- y x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y))))) |
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/4 x) -1/3) (*.f64 #s(literal -1/4 binary64) x)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)))) |
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)))) |
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (+ y (log (+ 1 (neg x)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) (*.f64 (+.f64 x y) (-.f64 y x))))))) |
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 (neg.f64 x)))) |
(-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ x (+ -1 y)) (neg.f64 x))))) |
(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64))))) |
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (+.f64 y (log1p.f64 (neg.f64 x))))) |
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) #s(approx (* (+ (* (+ (* (+ (* -1/4 x) -1/3) x) -1/2) x) -1) x) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/4 binary64)))))) |
(-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ x (+ -1 y)) (neg.f64 (fma.f64 y x x)))))) |
(-.f64 #s(literal 1 binary64) (log1p.f64 (*.f64 (-.f64 x y) #s(approx (pow (- y 1) -1) #s(literal -1 binary64))))) |
(-.f64 #s(literal 1 binary64) (log.f64 (fma.f64 #s(approx (pow (- y 1) -1) #s(literal -1 binary64)) (-.f64 x y) #s(literal 1 binary64)))) |
(-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ x (+ -1 y)) (/.f64 x y))))) |
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y))))) |
(-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 x (+.f64 #s(literal -1 binary64) y))))) |
(-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 x #s(literal 1 binary64)) y)))) |
(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) |
(-.f64 #s(literal 1 binary64) (log.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))) (-.f64 x y) #s(literal 1 binary64)))) |
(-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 #s(approx (- (- x (/ (- 1 x) y)) 1) (+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))) y)))) |
(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (/ (- y 1) (- y x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))))))) |
(-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 (-.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) #s(literal 1 binary64)) y)))) |
(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 y x)))))) |
(-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 (-.f64 x (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) y)) x) y)) #s(literal 1 binary64)) y)))) |
(-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 (/.f64 (-.f64 (-.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x)) y)))) |
(-.f64 #s(literal 1 binary64) (log.f64 (fma.f64 (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 x y) #s(literal 1 binary64)))) |
(-.f64 (pow.f64 (+.f64 (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ x (+ -1 y)) (/.f64 x y)))) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ x (+ -1 y)) (/.f64 x y)))) #s(literal 2 binary64)) (+.f64 (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ x (+ -1 y)) (/.f64 x y)))) #s(literal 1 binary64)))) |
(-.f64 (pow.f64 (+.f64 (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 x (-.f64 y #s(literal 1 binary64))))) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 x (-.f64 y #s(literal 1 binary64))))) #s(literal 2 binary64)) (+.f64 (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 x (-.f64 y #s(literal 1 binary64))))) #s(literal 1 binary64)))) |
(-.f64 (pow.f64 (+.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)) (+.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)))) |
| Outputs |
|---|
(-.f64 #s(literal 1 binary64) (log.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))) (-.f64 x y) #s(literal 1 binary64)))) |
(-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 (-.f64 x (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) y)) x) y)) #s(literal 1 binary64)) y)))) |
6 calls:
| 13.0ms | x |
| 10.0ms | (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)) |
| 9.0ms | y |
| 8.0ms | (-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.7% | 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 40 to 34 computations (15% saved)
| Inputs |
|---|
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (neg.f64 x)))) |
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (+ y (log (+ 1 (neg x)))) (-.f64 y x)))) |
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x)))) |
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)))) |
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/4 x) -1/3) #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)))) |
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (+ y (log (+ 1 (neg x)))) #s(approx (- y x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y))))) |
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/4 x) -1/3) (*.f64 #s(literal -1/4 binary64) x)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)))) |
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)))) |
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (+ y (log (+ 1 (neg x)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) (*.f64 (+.f64 x y) (-.f64 y x))))))) |
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 (neg.f64 x)))) |
(-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ x (+ -1 y)) (neg.f64 x))))) |
(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64))))) |
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (+.f64 y (log1p.f64 (neg.f64 x))))) |
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) #s(approx (* (+ (* (+ (* (+ (* -1/4 x) -1/3) x) -1/2) x) -1) x) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/4 binary64)))))) |
(-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ x (+ -1 y)) (neg.f64 (fma.f64 y x x)))))) |
(-.f64 #s(literal 1 binary64) (log1p.f64 (*.f64 (-.f64 x y) #s(approx (pow (- y 1) -1) #s(literal -1 binary64))))) |
(-.f64 #s(literal 1 binary64) (log.f64 (fma.f64 #s(approx (pow (- y 1) -1) #s(literal -1 binary64)) (-.f64 x y) #s(literal 1 binary64)))) |
(-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ x (+ -1 y)) (/.f64 x y))))) |
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y))))) |
(-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 x (+.f64 #s(literal -1 binary64) y))))) |
(-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 x #s(literal 1 binary64)) y)))) |
(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) |
(-.f64 #s(literal 1 binary64) (log.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))) (-.f64 x y) #s(literal 1 binary64)))) |
(-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 #s(approx (- (- x (/ (- 1 x) y)) 1) (+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))) y)))) |
(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (/ (- y 1) (- y x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))))))) |
(-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 (-.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) #s(literal 1 binary64)) y)))) |
(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 y x)))))) |
| Outputs |
|---|
(-.f64 #s(literal 1 binary64) (log.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))) (-.f64 x y) #s(literal 1 binary64)))) |
(-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 (-.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) #s(literal 1 binary64)) y)))) |
4 calls:
| 10.0ms | (-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) |
| 8.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| 6.0ms | (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))) |
| 6.0ms | (-.f64 #s(literal 1 binary64) (/.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 38 to 30 computations (21.1% saved)
| Inputs |
|---|
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (neg.f64 x)))) |
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (+ y (log (+ 1 (neg x)))) (-.f64 y x)))) |
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x)))) |
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)))) |
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/4 x) -1/3) #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)))) |
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (+ y (log (+ 1 (neg x)))) #s(approx (- y x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y))))) |
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/4 x) -1/3) (*.f64 #s(literal -1/4 binary64) x)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)))) |
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)))) |
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (+ y (log (+ 1 (neg x)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) (*.f64 (+.f64 x y) (-.f64 y x))))))) |
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 (neg.f64 x)))) |
(-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ x (+ -1 y)) (neg.f64 x))))) |
(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64))))) |
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (+.f64 y (log1p.f64 (neg.f64 x))))) |
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) #s(approx (* (+ (* (+ (* (+ (* -1/4 x) -1/3) x) -1/2) x) -1) x) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/4 binary64)))))) |
(-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ x (+ -1 y)) (neg.f64 (fma.f64 y x x)))))) |
(-.f64 #s(literal 1 binary64) (log1p.f64 (*.f64 (-.f64 x y) #s(approx (pow (- y 1) -1) #s(literal -1 binary64))))) |
(-.f64 #s(literal 1 binary64) (log.f64 (fma.f64 #s(approx (pow (- y 1) -1) #s(literal -1 binary64)) (-.f64 x y) #s(literal 1 binary64)))) |
(-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ x (+ -1 y)) (/.f64 x y))))) |
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y))))) |
(-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 x (+.f64 #s(literal -1 binary64) y))))) |
(-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 x #s(literal 1 binary64)) y)))) |
(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) |
(-.f64 #s(literal 1 binary64) (log.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))) (-.f64 x y) #s(literal 1 binary64)))) |
(-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 #s(approx (- (- x (/ (- 1 x) y)) 1) (+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))) y)))) |
(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (/ (- y 1) (- y x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))))))) |
| Outputs |
|---|
(-.f64 #s(literal 1 binary64) (log.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))) (-.f64 x y) #s(literal 1 binary64)))) |
(-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 x #s(literal 1 binary64)) y)))) |
4 calls:
| 8.0ms | (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))) |
| 7.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| 7.0ms | (-.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 |
|---|---|---|
| 99.8% | 2 | (-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) |
| 99.8% | 2 | (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))) |
| 99.8% | 2 | (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) |
| 99.8% | 2 | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
Compiled 38 to 30 computations (21.1% saved)
| Inputs |
|---|
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (neg.f64 x)))) |
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (+ y (log (+ 1 (neg x)))) (-.f64 y x)))) |
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x)))) |
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)))) |
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/4 x) -1/3) #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)))) |
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (+ y (log (+ 1 (neg x)))) #s(approx (- y x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y))))) |
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/4 x) -1/3) (*.f64 #s(literal -1/4 binary64) x)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)))) |
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)))) |
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (+ y (log (+ 1 (neg x)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) (*.f64 (+.f64 x y) (-.f64 y x))))))) |
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 (neg.f64 x)))) |
(-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ x (+ -1 y)) (neg.f64 x))))) |
(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64))))) |
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (+.f64 y (log1p.f64 (neg.f64 x))))) |
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) #s(approx (* (+ (* (+ (* (+ (* -1/4 x) -1/3) x) -1/2) x) -1) x) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/4 binary64)))))) |
(-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ x (+ -1 y)) (neg.f64 (fma.f64 y x x)))))) |
(-.f64 #s(literal 1 binary64) (log1p.f64 (*.f64 (-.f64 x y) #s(approx (pow (- y 1) -1) #s(literal -1 binary64))))) |
(-.f64 #s(literal 1 binary64) (log.f64 (fma.f64 #s(approx (pow (- y 1) -1) #s(literal -1 binary64)) (-.f64 x y) #s(literal 1 binary64)))) |
(-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ x (+ -1 y)) (/.f64 x y))))) |
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y))))) |
(-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 x (+.f64 #s(literal -1 binary64) y))))) |
(-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 x #s(literal 1 binary64)) y)))) |
(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) |
| 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 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 x #s(literal 1 binary64)) y)))) |
4 calls:
| 8.0ms | (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))) |
| 6.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| 6.0ms | (-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) |
| 5.0ms | (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 2 | (-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) |
| 99.8% | 2 | (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))) |
| 99.8% | 2 | (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) |
| 99.8% | 2 | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
Compiled 38 to 30 computations (21.1% saved)
| Inputs |
|---|
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (neg.f64 x)))) |
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (+ y (log (+ 1 (neg x)))) (-.f64 y x)))) |
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x)))) |
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)))) |
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/4 x) -1/3) #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)))) |
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (+ y (log (+ 1 (neg x)))) #s(approx (- y x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y))))) |
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/4 x) -1/3) (*.f64 #s(literal -1/4 binary64) x)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)))) |
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)))) |
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (+ y (log (+ 1 (neg x)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) (*.f64 (+.f64 x y) (-.f64 y x))))))) |
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 (neg.f64 x)))) |
(-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ x (+ -1 y)) (neg.f64 x))))) |
(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64))))) |
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (+.f64 y (log1p.f64 (neg.f64 x))))) |
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) #s(approx (* (+ (* (+ (* (+ (* -1/4 x) -1/3) x) -1/2) x) -1) x) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/4 binary64)))))) |
(-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ x (+ -1 y)) (neg.f64 (fma.f64 y x x)))))) |
(-.f64 #s(literal 1 binary64) (log1p.f64 (*.f64 (-.f64 x y) #s(approx (pow (- y 1) -1) #s(literal -1 binary64))))) |
(-.f64 #s(literal 1 binary64) (log.f64 (fma.f64 #s(approx (pow (- y 1) -1) #s(literal -1 binary64)) (-.f64 x y) #s(literal 1 binary64)))) |
(-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ x (+ -1 y)) (/.f64 x y))))) |
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y))))) |
(-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 x (+.f64 #s(literal -1 binary64) y))))) |
(-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 x #s(literal 1 binary64)) y)))) |
| Outputs |
|---|
(-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 x (+.f64 #s(literal -1 binary64) y))))) |
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (+.f64 y (log1p.f64 (neg.f64 x))))) |
(-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 x #s(literal 1 binary64)) y)))) |
5 calls:
| 9.0ms | (-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) |
| 6.0ms | y |
| 6.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| 5.0ms | (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))) |
| 5.0ms | (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.3% | 3 | y |
| 98.8% | 3 | (-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) |
| 98.8% | 3 | (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))) |
| 98.8% | 3 | (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) |
| 98.8% | 3 | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
Compiled 39 to 32 computations (17.9% saved)
| Inputs |
|---|
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (neg.f64 x)))) |
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (+ y (log (+ 1 (neg x)))) (-.f64 y x)))) |
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x)))) |
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)))) |
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/4 x) -1/3) #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)))) |
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (+ y (log (+ 1 (neg x)))) #s(approx (- y x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y))))) |
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/4 x) -1/3) (*.f64 #s(literal -1/4 binary64) x)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)))) |
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)))) |
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (+ y (log (+ 1 (neg x)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) (*.f64 (+.f64 x y) (-.f64 y x))))))) |
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 (neg.f64 x)))) |
(-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ x (+ -1 y)) (neg.f64 x))))) |
(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64))))) |
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (+.f64 y (log1p.f64 (neg.f64 x))))) |
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) #s(approx (* (+ (* (+ (* (+ (* -1/4 x) -1/3) x) -1/2) x) -1) x) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/4 binary64)))))) |
(-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ x (+ -1 y)) (neg.f64 (fma.f64 y x x)))))) |
(-.f64 #s(literal 1 binary64) (log1p.f64 (*.f64 (-.f64 x y) #s(approx (pow (- y 1) -1) #s(literal -1 binary64))))) |
(-.f64 #s(literal 1 binary64) (log.f64 (fma.f64 #s(approx (pow (- y 1) -1) #s(literal -1 binary64)) (-.f64 x y) #s(literal 1 binary64)))) |
(-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ x (+ -1 y)) (/.f64 x y))))) |
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y))))) |
(-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 x (+.f64 #s(literal -1 binary64) y))))) |
| Outputs |
|---|
(-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 x (+.f64 #s(literal -1 binary64) y))))) |
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 (neg.f64 x)))) |
(-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 x (+.f64 #s(literal -1 binary64) y))))) |
6 calls:
| 8.0ms | (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))) |
| 6.0ms | x |
| 6.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| 6.0ms | y |
| 5.0ms | (-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.0% | 3 | x |
| 79.1% | 3 | y |
| 79.1% | 3 | (-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) |
| 79.1% | 3 | (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))) |
| 79.1% | 3 | (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) |
| 79.1% | 3 | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
Compiled 40 to 34 computations (15% saved)
| Inputs |
|---|
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (neg.f64 x)))) |
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (+ y (log (+ 1 (neg x)))) (-.f64 y x)))) |
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x)))) |
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)))) |
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/4 x) -1/3) #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)))) |
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (+ y (log (+ 1 (neg x)))) #s(approx (- y x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y))))) |
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/4 x) -1/3) (*.f64 #s(literal -1/4 binary64) x)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)))) |
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)))) |
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (+ y (log (+ 1 (neg x)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) (*.f64 (+.f64 x y) (-.f64 y x))))))) |
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 (neg.f64 x)))) |
(-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ x (+ -1 y)) (neg.f64 x))))) |
(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64))))) |
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (+.f64 y (log1p.f64 (neg.f64 x))))) |
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) #s(approx (* (+ (* (+ (* (+ (* -1/4 x) -1/3) x) -1/2) x) -1) x) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/4 binary64)))))) |
(-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ x (+ -1 y)) (neg.f64 (fma.f64 y x x)))))) |
(-.f64 #s(literal 1 binary64) (log1p.f64 (*.f64 (-.f64 x y) #s(approx (pow (- y 1) -1) #s(literal -1 binary64))))) |
(-.f64 #s(literal 1 binary64) (log.f64 (fma.f64 #s(approx (pow (- y 1) -1) #s(literal -1 binary64)) (-.f64 x y) #s(literal 1 binary64)))) |
(-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ x (+ -1 y)) (/.f64 x y))))) |
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y))))) |
| Outputs |
|---|
(-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ x (+ -1 y)) (/.f64 x y))))) |
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (+.f64 y (log1p.f64 (neg.f64 x))))) |
(-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ x (+ -1 y)) (/.f64 x y))))) |
6 calls:
| 9.0ms | y |
| 8.0ms | x |
| 6.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| 5.0ms | (-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) |
| 5.0ms | (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 78.5% | 3 | y |
| 70.7% | 4 | (-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) |
| 70.7% | 4 | (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))) |
| 70.7% | 4 | (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) |
| 70.7% | 4 | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| 71.1% | 2 | x |
Compiled 40 to 34 computations (15% saved)
| Inputs |
|---|
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (neg.f64 x)))) |
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (+ y (log (+ 1 (neg x)))) (-.f64 y x)))) |
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x)))) |
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)))) |
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/4 x) -1/3) #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)))) |
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (+ y (log (+ 1 (neg x)))) #s(approx (- y x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y))))) |
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/4 x) -1/3) (*.f64 #s(literal -1/4 binary64) x)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)))) |
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)))) |
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (+ y (log (+ 1 (neg x)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) (*.f64 (+.f64 x y) (-.f64 y x))))))) |
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 (neg.f64 x)))) |
(-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ x (+ -1 y)) (neg.f64 x))))) |
(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64))))) |
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (+.f64 y (log1p.f64 (neg.f64 x))))) |
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) #s(approx (* (+ (* (+ (* (+ (* -1/4 x) -1/3) x) -1/2) x) -1) x) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/4 binary64)))))) |
(-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ x (+ -1 y)) (neg.f64 (fma.f64 y x x)))))) |
(-.f64 #s(literal 1 binary64) (log1p.f64 (*.f64 (-.f64 x y) #s(approx (pow (- y 1) -1) #s(literal -1 binary64))))) |
(-.f64 #s(literal 1 binary64) (log.f64 (fma.f64 #s(approx (pow (- y 1) -1) #s(literal -1 binary64)) (-.f64 x y) #s(literal 1 binary64)))) |
| Outputs |
|---|
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 (neg.f64 x)))) |
6 calls:
| 34.0ms | (-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) |
| 5.0ms | y |
| 5.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| 5.0ms | x |
| 4.0ms | (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 60.7% | 1 | (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))) |
| 60.7% | 1 | (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) |
| 60.7% | 1 | (-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) |
| 60.7% | 1 | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| 60.7% | 1 | x |
| 60.7% | 1 | y |
Compiled 40 to 34 computations (15% saved)
Total -2.1b remaining (-6%)
Threshold costs -2.1b (-6%)
| Inputs |
|---|
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (neg.f64 x)))) |
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (+ y (log (+ 1 (neg x)))) (-.f64 y x)))) |
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x)))) |
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)))) |
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/4 x) -1/3) #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)))) |
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (+ y (log (+ 1 (neg x)))) #s(approx (- y x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y))))) |
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/4 x) -1/3) (*.f64 #s(literal -1/4 binary64) x)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)))) |
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)))) |
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (+ y (log (+ 1 (neg x)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) (*.f64 (+.f64 x y) (-.f64 y x))))))) |
| Outputs |
|---|
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (neg.f64 x)))) |
6 calls:
| 9.0ms | (-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) |
| 3.0ms | x |
| 3.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| 3.0ms | y |
| 3.0ms | (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 46.3% | 1 | y |
| 46.3% | 1 | (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))) |
| 46.3% | 1 | (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) |
| 46.3% | 1 | x |
| 46.3% | 1 | (-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) |
| 46.3% | 1 | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
Compiled 40 to 34 computations (15% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9990118768099231 | 0.9999935837671674 |
Compiled 15 to 15 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9990118768099231 | 0.9999935837671674 |
Compiled 15 to 15 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9999976487049771 | 1.0 |
Compiled 15 to 15 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9999976487049771 | 1.0 |
Compiled 15 to 15 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.5721437687910529 | 0.6647089017399263 |
| 0.0ms | -132.3054501220126 | -0.04768823856026051 |
Compiled 15 to 15 computations (0% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 87.0ms | 8.205522710387184e-7 | 2871020.2306394395 |
| 19.0ms | -1.380458542667033 | -0.04768823856026051 |
| 28.0ms | 184× | 1 | invalid |
| 22.0ms | 336× | 0 | invalid |
| 20.0ms | 130× | 1 | valid |
| 9.0ms | 142× | 0 | valid |
Compiled 270 to 320 computations (-18.5% saved)
ival-sub: 24.0ms (43.3% of total)ival-log: 11.0ms (19.8% of total)adjust: 10.0ms (18% of total)ival-div: 8.0ms (14.4% of total)ival-true: 1.0ms (1.8% of total)ival-assert: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 123.0ms | 0.002874586209112885 | 23522042092277076.0 |
| 12.0ms | -388.40026664732886 | -1.982482998174721 |
| 82.0ms | 1 111× | 0 | invalid |
| 18.0ms | 272× | 0 | valid |
Compiled 287 to 320 computations (-11.5% saved)
ival-sub: 31.0ms (55.7% of total)ival-div: 12.0ms (21.6% of total)ival-log: 10.0ms (18% of total)ival-true: 1.0ms (1.8% of total)exact: 1.0ms (1.8% of total)ival-assert: 1.0ms (1.8% of total)| 1× | egg-herbie |
| 308× | unsub-neg-binary64--.f64-neg.f64-+.f64 |
| 168× | neg-mul-1-binary64-*.f64-neg.f64 |
| 156× | distribute-lft-neg-in-binary64-*.f64-neg.f64 |
| 132× | sub-neg-binary64-neg.f64-+.f64--.f64 |
| 122× | distribute-neg-in-binary64-+.f64-neg.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 90 | 422 |
| 1 | 135 | 422 |
| 2 | 204 | 422 |
| 3 | 271 | 422 |
| 4 | 338 | 422 |
| 5 | 445 | 422 |
| 6 | 542 | 422 |
| 7 | 698 | 422 |
| 8 | 874 | 422 |
| 9 | 934 | 422 |
| 10 | 953 | 422 |
| 11 | 955 | 422 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 4501347827556811/4503599627370496 binary64)) (-.f64 #s(literal 1 binary64) (log.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))) (-.f64 x y) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 (-.f64 x (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) y)) x) y)) #s(literal 1 binary64)) y))))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 4501347827556811/4503599627370496 binary64)) (-.f64 #s(literal 1 binary64) (log.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))) (-.f64 x y) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 (-.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) #s(literal 1 binary64)) y))))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 4503589038079107/4503599627370496 binary64)) (-.f64 #s(literal 1 binary64) (log.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))) (-.f64 x y) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 x #s(literal 1 binary64)) y))))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 4503589038079107/4503599627370496 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 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 x #s(literal 1 binary64)) y))))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal -100 binary64)) (-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 x (+.f64 #s(literal -1 binary64) y))))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 5404319552844595/9007199254740992 binary64)) (-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (+.f64 y (log1p.f64 (neg.f64 x))))) (-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 x #s(literal 1 binary64)) y)))))) |
(if (<=.f64 x #s(literal -3039929748475085/2251799813685248 binary64)) (-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 x (+.f64 #s(literal -1 binary64) y))))) (if (<=.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 (neg.f64 x)))) (-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 x (+.f64 #s(literal -1 binary64) y))))))) |
(if (<=.f64 y #s(literal -100 binary64)) (-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ x (+ -1 y)) (/.f64 x y))))) (if (<=.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (+.f64 y (log1p.f64 (neg.f64 x))))) (-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ x (+ -1 y)) (/.f64 x y))))))) |
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 (neg.f64 x)))) |
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (neg.f64 x)))) |
| Outputs |
|---|
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 4501347827556811/4503599627370496 binary64)) (-.f64 #s(literal 1 binary64) (log.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))) (-.f64 x y) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 (-.f64 x (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) y)) x) y)) #s(literal 1 binary64)) y))))) |
(if (<=.f64 (/.f64 (-.f64 y x) (-.f64 y #s(literal 1 binary64))) #s(literal 4501347827556811/4503599627370496 binary64)) (-.f64 #s(literal 1 binary64) (log.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)) (-.f64 x y) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 (-.f64 x (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) y)) x) y)) #s(literal 1 binary64)) y))))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 4501347827556811/4503599627370496 binary64)) (-.f64 #s(literal 1 binary64) (log.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))) (-.f64 x y) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 (-.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) #s(literal 1 binary64)) y))))) |
(if (<=.f64 (/.f64 (-.f64 y x) (-.f64 y #s(literal 1 binary64))) #s(literal 4501347827556811/4503599627370496 binary64)) (-.f64 #s(literal 1 binary64) (log.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)) (-.f64 x y) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 (+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) x) #s(literal 1 binary64)) y))))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 4503589038079107/4503599627370496 binary64)) (-.f64 #s(literal 1 binary64) (log.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))) (-.f64 x y) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 x #s(literal 1 binary64)) y))))) |
(if (<=.f64 (/.f64 (-.f64 y x) (-.f64 y #s(literal 1 binary64))) #s(literal 4503589038079107/4503599627370496 binary64)) (-.f64 #s(literal 1 binary64) (log.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)) (-.f64 x y) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 x #s(literal 1 binary64)) y))))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 4503589038079107/4503599627370496 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 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 x #s(literal 1 binary64)) y))))) |
(if (<=.f64 (/.f64 (-.f64 y x) (-.f64 y #s(literal 1 binary64))) #s(literal 4503589038079107/4503599627370496 binary64)) (-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (-.f64 y #s(literal 1 binary64)))))) (-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 x #s(literal 1 binary64)) y))))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal -100 binary64)) (-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 x (+.f64 #s(literal -1 binary64) y))))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 5404319552844595/9007199254740992 binary64)) (-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (+.f64 y (log1p.f64 (neg.f64 x))))) (-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 x #s(literal 1 binary64)) y)))))) |
(if (<=.f64 (/.f64 (-.f64 y x) (-.f64 y #s(literal 1 binary64))) #s(literal -100 binary64)) (-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 x (-.f64 y #s(literal 1 binary64)))))) (if (<=.f64 (/.f64 (-.f64 y x) (-.f64 y #s(literal 1 binary64))) #s(literal 5404319552844595/9007199254740992 binary64)) (-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (+.f64 (log1p.f64 (neg.f64 x)) y))) (-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 x #s(literal 1 binary64)) y)))))) |
(if (<=.f64 x #s(literal -3039929748475085/2251799813685248 binary64)) (-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 x (+.f64 #s(literal -1 binary64) y))))) (if (<=.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 (neg.f64 x)))) (-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 x (+.f64 #s(literal -1 binary64) y))))))) |
(if (<=.f64 x #s(literal -3039929748475085/2251799813685248 binary64)) (-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 x (-.f64 y #s(literal 1 binary64)))))) (if (<=.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 (neg.f64 x)))) (-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 x (-.f64 y #s(literal 1 binary64)))))))) |
(if (<=.f64 y #s(literal -100 binary64)) (-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ x (+ -1 y)) (/.f64 x y))))) (if (<=.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (+.f64 y (log1p.f64 (neg.f64 x))))) (-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ x (+ -1 y)) (/.f64 x y))))))) |
(if (<=.f64 y #s(literal -100 binary64)) (-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ x (+ -1 y)) (/.f64 x y))))) (if (<=.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (+.f64 (log1p.f64 (neg.f64 x)) y))) (-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ x (+ -1 y)) (/.f64 x y))))))) |
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 (neg.f64 x)))) |
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (neg.f64 x)))) |
| 6 968× | lower-fma.f64 |
| 6 968× | lower-fma.f32 |
| 6 656× | lower-fma.f64 |
| 6 656× | lower-fma.f32 |
| 5 470× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 38 |
| 0 | 15 | 38 |
| 1 | 77 | 38 |
| 2 | 662 | 38 |
| 0 | 8723 | 34 |
| 0 | 432 | 2626 |
| 1 | 1404 | 2020 |
| 2 | 4892 | 1789 |
| 0 | 8556 | 1696 |
| 0 | 35 | 254 |
| 0 | 59 | 254 |
| 1 | 293 | 251 |
| 2 | 2507 | 251 |
| 0 | 8980 | 243 |
| 0 | 877 | 11831 |
| 1 | 2884 | 8287 |
| 0 | 9469 | 7866 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 522 to 253 computations (51.5% saved)
Compiled 664 to 222 computations (66.6% saved)
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