
Time bar (total: 8.7s)
| 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)
| 737.0ms | 5 918× | 0 | valid |
| 547.0ms | 2 338× | 1 | valid |
| 146.0ms | 1 077× | 1 | invalid |
| 132.0ms | 1 680× | 0 | invalid |
ival-sub: 498.0ms (41.8% of total)ival-log: 467.0ms (39.2% of total)ival-div: 107.0ms (9% of total)adjust: 97.0ms (8.2% of total)ival-true: 10.0ms (0.8% of total)exact: 7.0ms (0.6% of total)ival-assert: 5.0ms (0.4% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 93 | 0 | - | 0 | - | (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))) |
| 77 | 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 | 93 | 0 |
-.f64 | (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) | cancellation | 77 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 77 | 0 |
| - | 93 | 86 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 77 | 0 | 0 |
| - | 93 | 0 | 86 |
| number | freq |
|---|---|
| 0 | 86 |
| 1 | 170 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 83.0ms | 296× | 1 | valid |
| 15.0ms | 28× | 2 | valid |
| 13.0ms | 188× | 0 | valid |
Compiled 110 to 31 computations (71.8% saved)
ival-log: 32.0ms (49.9% of total)ival-sub: 16.0ms (24.9% of total)adjust: 10.0ms (15.6% of total)ival-div: 6.0ms (9.3% 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 |
|---|---|---|
| ▶ | 72.0% | (-.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 | (-.f64 #s(literal 1 binary64) y) | |
| accuracy | 0.01171875 | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) | |
| accuracy | 17.72891806425161 | (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) | |
| accuracy | 21.390719086994356 | (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))) |
| 99.0ms | 148× | 1 | valid |
| 7.0ms | 94× | 0 | valid |
| 5.0ms | 14× | 2 | valid |
Compiled 49 to 11 computations (77.6% saved)
ival-sub: 14.0ms (42.3% of total)ival-log: 11.0ms (33.2% of total)adjust: 5.0ms (15.1% of total)ival-div: 4.0ms (12.1% 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 (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>) () ()) |
#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.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 1 (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 y)) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 y)) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 y)) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.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>) () ())) ()) |
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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)) (- 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)) (- 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)) (- 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)) (- 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 y)) |
| 1× | egg-herbie |
| 6 808× | lower-fma.f64 |
| 6 808× | lower-fma.f32 |
| 3 982× | lower-+.f64 |
| 3 982× | lower-+.f32 |
| 2 656× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 439 | 2658 |
| 1 | 1420 | 2052 |
| 2 | 4942 | 1821 |
| 0 | 8665 | 1728 |
| 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))))) |
1 |
(+ 1 (* -1 y)) |
(+ 1 (* -1 y)) |
(+ 1 (* -1 y)) |
(+ (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)))) |
(* -1 y) |
(* y (- (/ 1 y) 1)) |
(* y (- (/ 1 y) 1)) |
(* y (- (/ 1 y) 1)) |
(+ (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))) |
(* -1 y) |
(* -1 (* y (- 1 (/ 1 y)))) |
(* -1 (* y (- 1 (/ 1 y)))) |
(* -1 (* y (- 1 (/ 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))))) |
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(- (+ 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)))))) |
(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 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 #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 x) |
(-.f64 #s(literal 1 binary64) x) |
(- (+ 1 (* y (+ 1 (* -1 x)))) x) |
(*.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) |
(- (+ 1 (* y (+ 1 (+ (* -1 x) (* y (+ 1 (* -1 x))))))) x) |
(fma.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) |
(- (+ 1 (* y (+ 1 (+ (* -1 x) (* y (+ 1 (+ (* -1 x) (* y (+ 1 (* -1 x)))))))))) x) |
(fma.f64 (fma.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) y (-.f64 #s(literal 1 binary64) x)) |
x |
(+ x (* -1 (* y (+ 1 (* -1 x))))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y x) |
(+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
(fma.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) y) x) |
(+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
(fma.f64 (fma.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) y) (-.f64 x #s(literal 1 binary64))) y x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 y)) |
(-.f64 #s(literal 1 binary64) y) |
(+ 1 (* -1 y)) |
(-.f64 #s(literal 1 binary64) y) |
(+ 1 (* -1 y)) |
(-.f64 #s(literal 1 binary64) y) |
(+ (log (neg (+ 1 (* -1 x)))) (log (/ 1 y))) |
(-.f64 (log.f64 (-.f64 x #s(literal 1 binary64))) (log.f64 y)) |
(+ (log (neg (+ 1 (* -1 x)))) (+ (log (/ 1 y)) (* -1 (/ (- x 1) (* y (+ 1 (* -1 x))))))) |
(-.f64 (-.f64 (log.f64 (-.f64 x #s(literal 1 binary64))) (log.f64 y)) (/.f64 #s(literal -1 binary64) y)) |
(+ (log (neg (+ 1 (* -1 x)))) (+ (log (/ 1 y)) (+ (* -1 (/ (- x 1) (* y (+ 1 (* -1 x))))) (* 1/2 (/ (+ (* -2 (/ (- x 1) (+ 1 (* -1 x)))) (* -1 (/ (pow (- x 1) 2) (pow (+ 1 (* -1 x)) 2)))) (pow y 2)))))) |
(+.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 #s(literal -1 binary64) y)) (-.f64 (log.f64 (-.f64 x #s(literal 1 binary64))) (log.f64 y))) |
(+ (log (neg (+ 1 (* -1 x)))) (+ (log (/ 1 y)) (+ (* -1 (/ (- x 1) (* y (+ 1 (* -1 x))))) (+ (* 1/6 (/ (+ (* -6 (/ (- x 1) (+ 1 (* -1 x)))) (+ (* -6 (/ (pow (- x 1) 2) (pow (+ 1 (* -1 x)) 2))) (* -2 (/ (pow (- x 1) 3) (pow (+ 1 (* -1 x)) 3))))) (pow y 3))) (* 1/2 (/ (+ (* -2 (/ (- x 1) (+ 1 (* -1 x)))) (* -1 (/ (pow (- x 1) 2) (pow (+ 1 (* -1 x)) 2)))) (pow y 2))))))) |
(+.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (/.f64 #s(literal -1 binary64) y)) (-.f64 (log.f64 (-.f64 x #s(literal 1 binary64))) (log.f64 y))) |
(- 1 (+ (log (neg (+ 1 (* -1 x)))) (log (/ 1 y)))) |
(-.f64 (+.f64 #s(literal 1 binary64) (log.f64 y)) (log.f64 (-.f64 x #s(literal 1 binary64)))) |
(- (+ 1 (/ x (* y (+ 1 (* -1 x))))) (+ (log (neg (+ 1 (* -1 x)))) (+ (log (/ 1 y)) (/ 1 (* y (+ 1 (* -1 x))))))) |
(-.f64 (+.f64 (/.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) y)) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) y)) (-.f64 (log.f64 (-.f64 x #s(literal 1 binary64))) (log.f64 y)))) |
(- (+ 1 (* -1/2 (/ (+ (* -2 (/ (- x 1) (+ 1 (* -1 x)))) (* -1 (/ (pow (- x 1) 2) (pow (+ 1 (* -1 x)) 2)))) (pow y 2)))) (+ (log (neg (+ 1 (* -1 x)))) (+ (log (/ 1 y)) (* -1 (/ (- x 1) (* y (+ 1 (* -1 x)))))))) |
(-.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 y y)) #s(literal 1 binary64)) (-.f64 (-.f64 (log.f64 (-.f64 x #s(literal 1 binary64))) (log.f64 y)) (/.f64 #s(literal -1 binary64) y))) |
(- (+ 1 (* -1/6 (/ (+ (* -6 (/ (- x 1) (+ 1 (* -1 x)))) (+ (* -6 (/ (pow (- x 1) 2) (pow (+ 1 (* -1 x)) 2))) (* -2 (/ (pow (- x 1) 3) (pow (+ 1 (* -1 x)) 3))))) (pow y 3)))) (+ (log (neg (+ 1 (* -1 x)))) (+ (log (/ 1 y)) (+ (* -1 (/ (- x 1) (* y (+ 1 (* -1 x))))) (* 1/2 (/ (+ (* -2 (/ (- x 1) (+ 1 (* -1 x)))) (* -1 (/ (pow (- x 1) 2) (pow (+ 1 (* -1 x)) 2)))) (pow y 2))))))) |
(-.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal 1 binary64)) (+.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 #s(literal -1 binary64) y)) (-.f64 (log.f64 (-.f64 x #s(literal 1 binary64))) (log.f64 y)))) |
(* -1 (/ (+ 1 (* -1 x)) y)) |
(/.f64 (-.f64 x #s(literal 1 binary64)) y) |
(/ (- (/ x y) (+ 1 (+ (* -1 x) (/ 1 y)))) y) |
(/.f64 (-.f64 (+.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) y)) y) |
(/ (- (+ (/ x y) (/ x (pow y 2))) (+ 1 (+ (* -1 x) (+ (/ 1 y) (/ 1 (pow y 2)))))) y) |
(/.f64 (-.f64 (+.f64 (/.f64 (/.f64 x y) y) (/.f64 x y)) (-.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (/.f64 #s(literal -1 binary64) y)) (-.f64 x #s(literal 1 binary64)))) y) |
(/ (- (+ (/ x y) (+ (/ x (pow y 2)) (/ x (pow y 3)))) (+ 1 (+ (* -1 x) (+ (/ 1 y) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3))))))) y) |
(/.f64 (-.f64 (+.f64 (/.f64 x y) (-.f64 (+.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (/.f64 (/.f64 x y) y)) (-.f64 #s(literal 1 binary64) x))) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) y) y)) (/.f64 #s(literal -1 binary64) y))) y) |
1 |
#s(literal 1 binary64) |
(+ 1 (+ (* -1 (/ x y)) (/ 1 y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) y)) |
(+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 2)))))) |
(+.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) y))) |
(- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 3))) (+ (/ 1 y) (/ 1 (pow y 3)))))) (* -1 (/ (+ 1 (* -1 x)) (pow y 2)))) |
(-.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) y)) (/.f64 x (pow.f64 y #s(literal 3 binary64))))) (/.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) y)) |
(* -1 y) |
(neg.f64 y) |
(* y (- (/ 1 y) 1)) |
(-.f64 #s(literal 1 binary64) y) |
(* y (- (/ 1 y) 1)) |
(-.f64 #s(literal 1 binary64) y) |
(* y (- (/ 1 y) 1)) |
(-.f64 #s(literal 1 binary64) y) |
(+ (log (- 1 x)) (log (/ -1 y))) |
(+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log1p.f64 (neg.f64 x))) |
(+ (log (- 1 x)) (+ (log (/ -1 y)) (* -1 (/ (- (/ x (- 1 x)) (/ 1 (- 1 x))) y)))) |
(+.f64 (-.f64 (log1p.f64 (neg.f64 x)) (/.f64 #s(literal -1 binary64) y)) (log.f64 (/.f64 #s(literal -1 binary64) y))) |
(+ (log (- 1 x)) (+ (log (/ -1 y)) (* -1 (/ (- (+ (* -1/2 (/ (+ (* -1 (/ (pow (- x 1) 2) (pow (- 1 x) 2))) (* 2 (/ (+ 1 (* -1 x)) (- 1 x)))) y)) (/ x (- 1 x))) (/ 1 (- 1 x))) y)))) |
(+.f64 (-.f64 (log1p.f64 (neg.f64 x)) (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) y) #s(literal -1 binary64)) y)) (log.f64 (/.f64 #s(literal -1 binary64) 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)))) |
(+.f64 (-.f64 (log1p.f64 (neg.f64 x)) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) y) #s(literal 1/2 binary64)) y)) y)) (log.f64 (/.f64 #s(literal -1 binary64) y))) |
(- 1 (+ (log (- 1 x)) (log (/ -1 y)))) |
(-.f64 (-.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) y))) |
(- (+ 1 (* -1 (/ (- (/ 1 (- 1 x)) (/ x (- 1 x))) y))) (+ (log (- 1 x)) (log (/ -1 y)))) |
(-.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (log1p.f64 (neg.f64 x))) |
(- (+ 1 (* -1 (/ (- (+ (* 1/2 (/ (+ (* -1 (/ (pow (- x 1) 2) (pow (- 1 x) 2))) (* 2 (/ (+ 1 (* -1 x)) (- 1 x)))) y)) (/ 1 (- 1 x))) (/ x (- 1 x))) y))) (+ (log (- 1 x)) (log (/ -1 y)))) |
(-.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (log1p.f64 (neg.f64 x))) |
(- (+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* 1/6 (/ (+ (* -6 (/ (* (+ 1 (* -1 x)) (- x 1)) (pow (- 1 x) 2))) (+ (* 2 (/ (pow (- x 1) 3) (pow (- 1 x) 3))) (* 6 (/ (- x 1) (- 1 x))))) y)) (* 1/2 (+ (* -1 (/ (pow (- x 1) 2) (pow (- 1 x) 2))) (* 2 (/ (+ 1 (* -1 x)) (- 1 x)))))) y)) (/ 1 (- 1 x))) (/ x (- 1 x))) y))) (+ (log (- 1 x)) (log (/ -1 y)))) |
(-.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) y) #s(literal 1/2 binary64)) y)) y)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (log1p.f64 (neg.f64 x))) |
(* -1 (/ (- 1 x) y)) |
(/.f64 (-.f64 x #s(literal 1 binary64)) y) |
(* -1 (/ (- (+ 1 (* -1 (/ (- x 1) y))) x) y)) |
(/.f64 (-.f64 (-.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) #s(literal 1 binary64)) y) |
(* -1 (/ (- (+ 1 (* -1 (/ (- (+ x (* -1 (/ (+ 1 (* -1 x)) y))) 1) y))) x) 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) |
(* -1 (/ (- (+ 1 (* -1 (/ (- (+ x (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- x 1) y)))) y))) 1) y))) x) y)) |
(/.f64 (+.f64 (/.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 x #s(literal 1 binary64))) y) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ (- x 1) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) y)) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- 1 x) y))) 1) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) #s(literal 1 binary64)) y)) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (+ 1 (* -1 (/ (- x 1) y))) x) y))) 1) y))) |
(-.f64 #s(literal 1 binary64) (/.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)) |
(* -1 y) |
(neg.f64 y) |
(* -1 (* y (- 1 (/ 1 y)))) |
(-.f64 #s(literal 1 binary64) y) |
(* -1 (* y (- 1 (/ 1 y)))) |
(-.f64 #s(literal 1 binary64) y) |
(* -1 (* y (- 1 (/ 1 y)))) |
(-.f64 #s(literal 1 binary64) y) |
(log (+ 1 (/ y (- 1 y)))) |
(log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y))) |
(+ (log (+ 1 (/ y (- 1 y)))) (* -1 (/ x (* (+ 1 (/ y (- 1 y))) (- 1 y))))) |
(-.f64 (log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y))) (/.f64 (/.f64 x (+.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) y))) |
(+ (log (+ 1 (/ y (- 1 y)))) (* x (- (* -1/2 (/ x (* (pow (+ 1 (/ y (- 1 y))) 2) (pow (- 1 y) 2)))) (/ 1 (* (+ 1 (/ y (- 1 y))) (- 1 y)))))) |
(fma.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64))) (/.f64 x (pow.f64 (+.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) y))) x (log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)))) |
(+ (log (+ 1 (/ y (- 1 y)))) (* x (- (* x (- (* -1/3 (/ x (* (pow (+ 1 (/ y (- 1 y))) 3) (pow (- 1 y) 3)))) (* 1/2 (/ 1 (* (pow (+ 1 (/ y (- 1 y))) 2) (pow (- 1 y) 2)))))) (/ 1 (* (+ 1 (/ y (- 1 y))) (- 1 y)))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64))) (/.f64 x (pow.f64 (+.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) (pow.f64 (+.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) #s(literal 2 binary64))))) x (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) y))) x (log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)))) |
(- 1 (log (+ 1 (/ y (- 1 y))))) |
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)))) |
(- (+ 1 (/ x (* (+ 1 (/ y (- 1 y))) (- 1 y)))) (log (+ 1 (/ y (- 1 y))))) |
(-.f64 (+.f64 (/.f64 (/.f64 x (+.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) (log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)))) |
(- (+ 1 (* x (+ (* 1/2 (/ x (* (pow (+ 1 (/ y (- 1 y))) 2) (pow (- 1 y) 2)))) (/ 1 (* (+ 1 (/ y (- 1 y))) (- 1 y)))))) (log (+ 1 (/ y (- 1 y))))) |
(fma.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64))) (/.f64 x (pow.f64 (+.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) y))) x (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y))))) |
(- (+ 1 (* x (+ (* x (+ (* 1/3 (/ x (* (pow (+ 1 (/ y (- 1 y))) 3) (pow (- 1 y) 3)))) (* 1/2 (/ 1 (* (pow (+ 1 (/ y (- 1 y))) 2) (pow (- 1 y) 2)))))) (/ 1 (* (+ 1 (/ y (- 1 y))) (- 1 y)))))) (log (+ 1 (/ y (- 1 y))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64))) (/.f64 x (pow.f64 (+.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64))) (pow.f64 (+.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) #s(literal 2 binary64)))) x (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) y))) x (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y))))) |
(+ 1 (/ y (- 1 y))) |
(+.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) |
(+ 1 (+ (* -1 (/ x (- 1 y))) (/ y (- 1 y)))) |
(-.f64 (+.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
(+ 1 (+ (* -1 (/ x (- 1 y))) (/ y (- 1 y)))) |
(-.f64 (+.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
(+ 1 (+ (* -1 (/ x (- 1 y))) (/ y (- 1 y)))) |
(-.f64 (+.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
(* -1 (/ y (- 1 y))) |
(/.f64 y (+.f64 #s(literal -1 binary64) y)) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y))) |
(+ (log (neg (/ 1 (- 1 y)))) (* -1 (log (/ 1 x)))) |
(-.f64 (log.f64 x) (log.f64 (+.f64 #s(literal -1 binary64) y))) |
(+ (log (neg (/ 1 (- 1 y)))) (+ (* -1 (log (/ 1 x))) (* -1 (/ (* (+ 1 (/ y (- 1 y))) (- 1 y)) 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 (log.f64 x) (log.f64 (+.f64 #s(literal -1 binary64) y)))) |
(+ (log (neg (/ 1 (- 1 y)))) (+ (* -1 (log (/ 1 x))) (+ (* -1 (/ (* (+ 1 (/ y (- 1 y))) (- 1 y)) x)) (* -1/2 (/ (* (pow (+ 1 (/ y (- 1 y))) 2) (pow (- 1 y) 2)) (pow x 2)))))) |
(+.f64 (/.f64 (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) (-.f64 (log.f64 x) (log.f64 (+.f64 #s(literal -1 binary64) y)))) |
(+ (log (neg (/ 1 (- 1 y)))) (+ (* -1 (log (/ 1 x))) (+ (* -1 (/ (* (+ 1 (/ y (- 1 y))) (- 1 y)) x)) (+ (* -1/2 (/ (* (pow (+ 1 (/ y (- 1 y))) 2) (pow (- 1 y) 2)) (pow x 2))) (* -1/3 (/ (* (pow (+ 1 (/ y (- 1 y))) 3) (pow (- 1 y) 3)) (pow x 3))))))) |
(-.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) (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)) (log.f64 x))) (log.f64 (+.f64 #s(literal -1 binary64) y))) |
(- 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 | 41 |
| 0 | 15 | 41 |
| 1 | 77 | 41 |
| 2 | 662 | 41 |
| 0 | 8723 | 37 |
| 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)) |
(-.f64 #s(literal 1 binary64) y) |
| Outputs |
|---|
(*.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y)))) |
(log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))) |
(/.f64 (-.f64 (*.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)))) (log1p.f64 (neg.f64 (pow.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64))))) (*.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 y #s(literal 1 binary64)))) (log1p.f64 (/.f64 (-.f64 y x) (-.f64 y #s(literal 1 binary64)))))) (+.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)))) (log1p.f64 (/.f64 (-.f64 y x) (-.f64 y #s(literal 1 binary64)))))) |
(/.f64 (-.f64 (*.f64 (log1p.f64 (pow.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64))) (log1p.f64 (pow.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)))) (*.f64 (log1p.f64 (-.f64 (pow.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y)))) (log1p.f64 (-.f64 (pow.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y)))))) (+.f64 (log1p.f64 (pow.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64))) (log1p.f64 (-.f64 (pow.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y)))))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 y #s(literal 1 binary64)))) #s(literal 3 binary64))) (fma.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)))) (log1p.f64 (neg.f64 (pow.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)))) (fma.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 y #s(literal 1 binary64)))) (log1p.f64 (/.f64 (-.f64 y x) (-.f64 y #s(literal 1 binary64)))) (*.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)))) (log1p.f64 (/.f64 (-.f64 y x) (-.f64 y #s(literal 1 binary64)))))))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (-.f64 (pow.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y)))) #s(literal 3 binary64))) (fma.f64 (log1p.f64 (pow.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64))) (log1p.f64 (pow.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64))) (fma.f64 (log1p.f64 (-.f64 (pow.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y)))) (log1p.f64 (-.f64 (pow.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y)))) (*.f64 (log1p.f64 (pow.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64))) (log1p.f64 (-.f64 (pow.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y)))))))) |
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(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (neg.f64 (fma.f64 #s(literal -1 binary64) y #s(literal -1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (+.f64 y #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (neg.f64 (neg.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 (fma.f64 y y y) #s(literal 1 binary64))) |
(/.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) |
(/.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) |
(neg.f64 (-.f64 y #s(literal 1 binary64))) |
(fma.f64 #s(literal -1 binary64) y #s(literal 1 binary64)) |
(fma.f64 (neg.f64 y) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 y #s(literal -1 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 y y) (+.f64 y #s(literal 1 binary64))))) |
(fma.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (fma.f64 y y y) #s(literal 1 binary64))))) |
(fma.f64 #s(literal 1 binary64) (neg.f64 y) #s(literal 1 binary64)) |
(-.f64 (/.f64 (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 y y) (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64))) |
(-.f64 (/.f64 (pow.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (fma.f64 y y y) #s(literal 1 binary64))) #s(literal 1 binary64))) |
(-.f64 (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 y y) (+.f64 y #s(literal 1 binary64)))) |
(-.f64 (pow.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (fma.f64 y y y) #s(literal 1 binary64)))) |
(-.f64 #s(literal 0 binary64) (-.f64 y #s(literal 1 binary64))) |
(-.f64 #s(literal 1 binary64) (/.f64 y #s(literal 1 binary64))) |
(-.f64 #s(literal 1 binary64) y) |
(+.f64 (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 y y) (+.f64 y #s(literal 1 binary64))))) |
(+.f64 (pow.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (fma.f64 y y y) #s(literal 1 binary64))))) |
(+.f64 (neg.f64 y) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (neg.f64 y)) |
Compiled 11 325 to 1 911 computations (83.1% saved)
8 alts after pruning (8 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 409 | 8 | 417 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 410 | 8 | 418 |
| Status | Accuracy | Program |
|---|---|---|
| 2.3% | (-.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 #s(literal 1 binary64) x) y)) #s(literal 1 binary64)) y)))) |
| 43.6% | (-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 x #s(literal 1 binary64)) y)))) | |
| ▶ | 47.4% | (-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 x (+.f64 #s(literal -1 binary64) y))))) |
| ▶ | 59.8% | (-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (-.f64 #s(literal 1 binary64) x)))) |
| ▶ | 57.3% | (-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (+.f64 y (log1p.f64 (neg.f64 x))))) |
| 37.7% | (-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y))))) | |
| ▶ | 59.8% | (-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 (neg.f64 x)))) |
Compiled 140 to 130 computations (7.1% 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 | (-.f64 #s(literal 1 binary64) x) | |
| cost-diff | 0 | #s(approx (- 1 (/ (- x y) (- 1 y))) (-.f64 #s(literal 1 binary64) x)) | |
| cost-diff | 0 | (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (-.f64 #s(literal 1 binary64) x))) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (-.f64 #s(literal 1 binary64) 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)))) |
| 3 956× | lower-fma.f64 |
| 3 956× | lower-fma.f32 |
| 1 064× | lower-*.f64 |
| 1 064× | lower-*.f32 |
| 972× | div-sub |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 298 |
| 0 | 51 | 298 |
| 1 | 88 | 298 |
| 2 | 151 | 298 |
| 3 | 302 | 298 |
| 4 | 700 | 298 |
| 5 | 1843 | 298 |
| 6 | 3756 | 298 |
| 7 | 4194 | 298 |
| 8 | 4281 | 298 |
| 9 | 4287 | 298 |
| 10 | 4289 | 298 |
| 11 | 4289 | 298 |
| 12 | 4630 | 298 |
| 13 | 4766 | 298 |
| 14 | 4766 | 298 |
| 0 | 4766 | 290 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(-.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) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (-.f64 #s(literal 1 binary64) x)))) |
#s(literal 1 binary64) |
(log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (-.f64 #s(literal 1 binary64) x))) |
#s(approx (- 1 (/ (- x y) (- 1 y))) (-.f64 #s(literal 1 binary64) x)) |
(-.f64 #s(literal 1 binary64) 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) #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) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (-.f64 #s(literal 1 binary64) x)))) |
#s(literal 1 binary64) |
(log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (-.f64 #s(literal 1 binary64) x))) |
#s(approx (- 1 (/ (- x y) (- 1 y))) (-.f64 #s(literal 1 binary64) x)) |
(-.f64 #s(literal 1 binary64) 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 | 0.01953125 | (/.f64 (-.f64 #s(literal 1 binary64) x) y) | |
| accuracy | 0.06640625 | (/.f64 (-.f64 (-.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) #s(literal 1 binary64)) y) | |
| accuracy | 21.390719086994356 | (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 | 36.10990484172995 | #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 | (+.f64 #s(literal -1 binary64) y) | |
| accuracy | 0.00390625 | (/.f64 x (+.f64 #s(literal -1 binary64) y)) | |
| accuracy | 21.390719086994356 | (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 x (+.f64 #s(literal -1 binary64) y)))) | |
| accuracy | 34.48805823920308 | #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 x (+.f64 #s(literal -1 binary64) y))) | |
| accuracy | 0 | (neg.f64 x) | |
| accuracy | 0 | (log1p.f64 (neg.f64 x)) | |
| accuracy | 0.00390625 | (+.f64 y (log1p.f64 (neg.f64 x))) | |
| accuracy | 21.126929044288183 | #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (+.f64 y (log1p.f64 (neg.f64 x)))) | |
| accuracy | 0 | (-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (-.f64 #s(literal 1 binary64) x)))) | |
| accuracy | 0 | (-.f64 #s(literal 1 binary64) x) | |
| accuracy | 21.138890164497386 | #s(approx (- 1 (/ (- x y) (- 1 y))) (-.f64 #s(literal 1 binary64) x)) | |
| accuracy | 21.390719086994356 | (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (-.f64 #s(literal 1 binary64) x))) | |
| accuracy | 0 | (-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 (neg.f64 x)))) | |
| accuracy | 0 | (neg.f64 x) | |
| accuracy | 0 | (log1p.f64 (neg.f64 x)) | |
| accuracy | 32.517812164939286 | #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 (neg.f64 x))) |
| 75.0ms | 78× | 0 | valid |
| 71.0ms | 139× | 1 | valid |
| 8.0ms | 14× | 2 | valid |
| 4.0ms | 25× | 0 | invalid |
Compiled 220 to 22 computations (90% saved)
adjust: 34.0ms (36.6% of total)ival-div: 30.0ms (32.3% of total)ival-sub: 13.0ms (14% of total)ival-log: 10.0ms (10.8% of total)ival-add: 2.0ms (2.2% of total)ival-log1p: 2.0ms (2.2% 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 (-.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) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (-.f64 #s(literal 1 binary64) x)))) (patch (-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (-.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ()) |
#s(alt (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (-.f64 #s(literal 1 binary64) x))) (patch (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (-.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ()) |
#s(alt #s(approx (- 1 (/ (- x y) (- 1 y))) (-.f64 #s(literal 1 binary64) x)) (patch #s(approx (- 1 (/ (- x y) (- 1 y))) (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) 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>) () ()) |
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#s(alt (+.f64 #s(literal -1 binary64) y) (patch (+.f64 #s(literal -1 binary64) y) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (/.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ()) |
| Outputs |
|---|
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6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 12.0ms | x | @ | inf | ((- 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)))) (- 1 (/ (- x y) (- 1 y))) (- 1 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) (+ -1 y) (/ (- 1 x) y)) |
| 8.0ms | y | @ | 0 | ((- 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)))) (- 1 (/ (- x y) (- 1 y))) (- 1 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) (+ -1 y) (/ (- 1 x) y)) |
| 3.0ms | x | @ | -inf | ((- 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)))) (- 1 (/ (- x y) (- 1 y))) (- 1 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) (+ -1 y) (/ (- 1 x) y)) |
| 3.0ms | y | @ | -inf | ((- 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)))) (- 1 (/ (- x y) (- 1 y))) (- 1 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) (+ -1 y) (/ (- 1 x) y)) |
| 2.0ms | y | @ | inf | ((- 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)))) (- 1 (/ (- x y) (- 1 y))) (- 1 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) (+ -1 y) (/ (- 1 x) y)) |
| 1× | egg-herbie |
| 7 846× | lower-fma.f64 |
| 7 846× | lower-fma.f32 |
| 3 804× | lower-+.f64 |
| 3 804× | lower-+.f32 |
| 3 054× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 533 | 12032 |
| 1 | 1686 | 9081 |
| 2 | 5568 | 7984 |
| 0 | 8453 | 7557 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- 1 (log (- 1 x))) |
(- (+ 1 (* -1 (* y (+ (* -1 (/ x (- 1 x))) (/ 1 (- 1 x)))))) (log (- 1 x))) |
(- (+ 1 (* y (- (* -1/2 (* y (+ (* -1 (/ (pow (+ 1 (* -1 x)) 2) (pow (- 1 x) 2))) (* 2 (/ (+ 1 (* -1 x)) (- 1 x)))))) (+ (* -1 (/ x (- 1 x))) (/ 1 (- 1 x)))))) (log (- 1 x))) |
(- (+ 1 (* y (- (* y (- (* -1/6 (* y (+ (* -6 (/ (pow (+ 1 (* -1 x)) 2) (pow (- 1 x) 2))) (+ (* 2 (/ (pow (+ 1 (* -1 x)) 3) (pow (- 1 x) 3))) (* 6 (/ (+ 1 (* -1 x)) (- 1 x))))))) (* 1/2 (+ (* -1 (/ (pow (+ 1 (* -1 x)) 2) (pow (- 1 x) 2))) (* 2 (/ (+ 1 (* -1 x)) (- 1 x))))))) (+ (* -1 (/ x (- 1 x))) (/ 1 (- 1 x)))))) (log (- 1 x))) |
(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))) |
(log (- 1 x)) |
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(+ (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 (/ x (- 1 y))) |
(* -1 (* x (+ (* -1 (/ (- 1 (* -1 (/ y (- 1 y)))) x)) (/ 1 (- 1 y))))) |
(* -1 (* x (+ (* -1 (/ (- 1 (* -1 (/ y (- 1 y)))) x)) (/ 1 (- 1 y))))) |
(* -1 (* x (+ (* -1 (/ (- 1 (* -1 (/ y (- 1 y)))) x)) (/ 1 (- 1 y))))) |
(* -1 x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (- 1 (/ 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)))) |
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(+ y (* -1 (log (/ -1 x)))) |
(- (+ y (* -1 (log (/ -1 x)))) (/ 1 x)) |
(+ y (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x)))) |
(+ y (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) x)))) |
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(- (+ 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)))) |
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(+ (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 (+ (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 (/ x y)) |
(* -1 (* x (- (/ 1 y) (/ 1 (* x y))))) |
(* -1 (* x (- (/ 1 y) (/ 1 (* x y))))) |
(* -1 (* x (- (/ 1 y) (/ 1 (* x y))))) |
| Outputs |
|---|
(- 1 (log (- 1 x))) |
(-.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x))) |
(- (+ 1 (* -1 (* y (+ (* -1 (/ x (- 1 x))) (/ 1 (- 1 x)))))) (log (- 1 x))) |
(-.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 x))) |
(- (+ 1 (* y (- (* -1/2 (* y (+ (* -1 (/ (pow (+ 1 (* -1 x)) 2) (pow (- 1 x) 2))) (* 2 (/ (+ 1 (* -1 x)) (- 1 x)))))) (+ (* -1 (/ x (- 1 x))) (/ 1 (- 1 x)))))) (log (- 1 x))) |
(-.f64 (fma.f64 (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 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)))))) |
(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 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 #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))) |
(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)))))) |
(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 x) |
(-.f64 #s(literal 1 binary64) x) |
(- (+ 1 (* y (+ 1 (* -1 x)))) x) |
(*.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) |
(- (+ 1 (* y (+ 1 (+ (* -1 x) (* y (+ 1 (* -1 x))))))) x) |
(fma.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) y (-.f64 #s(literal 1 binary64) x)) |
(- (+ 1 (* y (+ 1 (+ (* -1 x) (* y (+ 1 (+ (* -1 x) (* y (+ 1 (* -1 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 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))) |
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(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))) |
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(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))) |
(log (- 1 x)) |
(log1p.f64 (neg.f64 x)) |
(+ y (log (- 1 x))) |
(+.f64 y (log1p.f64 (neg.f64 x))) |
(+ y (log (- 1 x))) |
(+.f64 y (log1p.f64 (neg.f64 x))) |
(+ y (log (- 1 x))) |
(+.f64 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))) |
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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))) |
(-.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))) |
(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)))))) |
(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 x) |
(-.f64 #s(literal 1 binary64) x) |
(- (+ 1 (* y (+ 1 (* -1 x)))) x) |
(*.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) |
(- (+ 1 (* y (+ 1 (+ (* -1 x) (* y (+ 1 (* -1 x))))))) x) |
(fma.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) y (-.f64 #s(literal 1 binary64) x)) |
(- (+ 1 (* y (+ 1 (+ (* -1 x) (* y (+ 1 (+ (* -1 x) (* y (+ 1 (* -1 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 x) |
(neg.f64 x) |
(+ (* -1 x) (* -1 (* x y))) |
(neg.f64 (fma.f64 y x x)) |
(+ (* -1 x) (* y (- (* -1 (* x y)) x))) |
(fma.f64 (neg.f64 y) (fma.f64 y x x) (neg.f64 x)) |
(+ (* -1 x) (* y (- (* y (- (* -1 (* x y)) x)) x))) |
(fma.f64 (fma.f64 (neg.f64 y) (fma.f64 y x x) (neg.f64 x)) y (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))) |
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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))) |
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(-.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))) |
(log (- 1 x)) |
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(+ (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 (/.f64 y (-.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) (-.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))) (neg.f64 x)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (log1p.f64 (neg.f64 y))) |
(* -1 (/ x (- 1 y))) |
(/.f64 x (-.f64 y #s(literal 1 binary64))) |
(* -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 y #s(literal 1 binary64)))) |
(* -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 y #s(literal 1 binary64)))) |
(* -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 y #s(literal 1 binary64)))) |
(/ x (- y 1)) |
(/.f64 x (-.f64 y #s(literal 1 binary64))) |
(/ x (- y 1)) |
(/.f64 x (-.f64 y #s(literal 1 binary64))) |
(/ x (- y 1)) |
(/.f64 x (-.f64 y #s(literal 1 binary64))) |
(/ x (- y 1)) |
(/.f64 x (-.f64 y #s(literal 1 binary64))) |
(- 1 (+ (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 (log1p.f64 (neg.f64 y)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (-.f64 #s(literal 1 binary64) (/.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 (log1p.f64 (neg.f64 y)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (-.f64 #s(literal 1 binary64) (/.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))) |
(+ (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 (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))) (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 (/.f64 y (-.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) (-.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))) (neg.f64 x)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (log1p.f64 (neg.f64 y))) |
(* -1 (/ x (- 1 y))) |
(/.f64 x (-.f64 y #s(literal 1 binary64))) |
(* -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 y #s(literal 1 binary64)))) |
(* -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 y #s(literal 1 binary64)))) |
(* -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 y #s(literal 1 binary64)))) |
(/ (* 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))))))) |
(fma.f64 (+.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) y) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) (neg.f64 x) (/.f64 (+.f64 (/.f64 x y) x) y)) |
(* -1 (* x (+ (* -1 (/ (+ 1 (/ 1 y)) y)) (+ (/ 1 (* x y)) (/ 1 (* x (pow y 2))))))) |
(fma.f64 (+.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) y) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) (neg.f64 x) (/.f64 (+.f64 (/.f64 x y) x) y)) |
(* -1 (* x (+ (* -1 (/ (+ 1 (/ 1 y)) y)) (+ (/ 1 (* x y)) (/ 1 (* x (pow y 2))))))) |
(fma.f64 (+.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) y) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) (neg.f64 x) (/.f64 (+.f64 (/.f64 x y) x) y)) |
(* -1 (/ x y)) |
(/.f64 (neg.f64 x) y) |
(* -1 (* x (- (/ 1 y) (/ 1 (* x y))))) |
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (/.f64 #s(literal -1 binary64) y)) (neg.f64 x)) |
(* -1 (* x (- (/ 1 y) (/ 1 (* x y))))) |
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (/.f64 #s(literal -1 binary64) y)) (neg.f64 x)) |
(* -1 (* x (- (/ 1 y) (/ 1 (* x y))))) |
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (/.f64 #s(literal -1 binary64) y)) (neg.f64 x)) |
| 5 218× | lower-*.f64 |
| 5 218× | lower-*.f32 |
| 3 862× | lower-/.f32 |
| 3 856× | lower-/.f64 |
| 2 588× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 260 |
| 0 | 51 | 260 |
| 1 | 251 | 260 |
| 2 | 2186 | 260 |
| 0 | 8203 | 256 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.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) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (-.f64 #s(literal 1 binary64) x)))) |
(log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (-.f64 #s(literal 1 binary64) x))) |
#s(approx (- 1 (/ (- x y) (- 1 y))) (-.f64 #s(literal 1 binary64) x)) |
(-.f64 #s(literal 1 binary64) 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 #s(literal -1 binary64) y) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
| Outputs |
|---|
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 (neg.f64 x))) #s(literal 2 binary64))) (pow.f64 (+.f64 #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 (neg.f64 x))) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 (neg.f64 x))) #s(literal 3 binary64))) (pow.f64 (fma.f64 #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 (neg.f64 x))) (+.f64 #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 (neg.f64 x))) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (+.f64 #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 (neg.f64 x))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 (neg.f64 x))) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 (neg.f64 x))) (+.f64 #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 (neg.f64 x))) #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 (neg.f64 x))) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 (neg.f64 x))) #s(literal 1 binary64))) (*.f64 (+.f64 #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 (neg.f64 x))) #s(literal 1 binary64)) (pow.f64 #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 (neg.f64 x))) #s(literal 2 binary64)))) (*.f64 (+.f64 #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 (neg.f64 x))) #s(literal 1 binary64)) (+.f64 #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 (neg.f64 x))) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 (neg.f64 x))) (+.f64 #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 (neg.f64 x))) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 (neg.f64 x))) (+.f64 #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 (neg.f64 x))) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 (neg.f64 x))) #s(literal 3 binary64)))) (*.f64 (fma.f64 #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 (neg.f64 x))) (+.f64 #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 (neg.f64 x))) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 (neg.f64 x))) (+.f64 #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 (neg.f64 x))) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 (neg.f64 x))) #s(literal 2 binary64)))) (neg.f64 (+.f64 #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 (neg.f64 x))) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 (neg.f64 x))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 (neg.f64 x))) (+.f64 #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 (neg.f64 x))) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 (neg.f64 x))) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (neg.f64 #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 (neg.f64 x)))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 (neg.f64 x))) #s(literal 2 binary64))) (+.f64 #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 (neg.f64 x))) #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 (neg.f64 x))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 (neg.f64 x))) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (neg.f64 #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 (neg.f64 x)))))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 (neg.f64 x))) #s(literal 3 binary64))) (fma.f64 #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 (neg.f64 x))) (+.f64 #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 (neg.f64 x))) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 (neg.f64 x))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 (neg.f64 x))) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 (neg.f64 x))) (+.f64 #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 (neg.f64 x))) #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 (neg.f64 x))) #s(literal 3 binary64))))) |
(fma.f64 #s(literal -1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 (neg.f64 x))) #s(literal 1 binary64)) |
(-.f64 (pow.f64 (+.f64 #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 (neg.f64 x))) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 (neg.f64 x))) #s(literal 2 binary64)) (+.f64 #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 (neg.f64 x))) #s(literal 1 binary64)))) |
(-.f64 (pow.f64 (fma.f64 #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 (neg.f64 x))) (+.f64 #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 (neg.f64 x))) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 (neg.f64 x))) #s(literal 3 binary64)) (fma.f64 #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 (neg.f64 x))) (+.f64 #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 (neg.f64 x))) #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)))) |
(+.f64 (neg.f64 #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 (neg.f64 x)))) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (neg.f64 #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 (neg.f64 x))))) |
(*.f64 #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 (neg.f64 x))) #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)) |
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(/.f64 (-.f64 (neg.f64 (-.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))) #s(literal -1 binary64)) (neg.f64 y)) |
(/.f64 (*.f64 (-.f64 (pow.f64 (-.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal -1 binary64))) (+.f64 (-.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (-.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal -1 binary64))) (+.f64 (+.f64 (pow.f64 (-.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)))) |
(/.f64 (*.f64 (-.f64 (-.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) #s(literal 1 binary64)) #s(literal 1 binary64)) y) |
(/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) y) #s(literal 2 binary64)) (pow.f64 y #s(literal -2 binary64))) (+.f64 (/.f64 (-.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) y) (pow.f64 y #s(literal -1 binary64)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) y) #s(literal 3 binary64)) (pow.f64 y #s(literal -3 binary64))) (+.f64 (pow.f64 (/.f64 (-.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) y) #s(literal 2 binary64)) (+.f64 (pow.f64 y #s(literal -2 binary64)) (*.f64 (/.f64 (-.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) y) (pow.f64 y #s(literal -1 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (-.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 y))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (-.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (-.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) #s(literal 1 binary64)) y)) |
(/.f64 (*.f64 (-.f64 (pow.f64 (-.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (+.f64 (pow.f64 (-.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))) y)) |
(/.f64 (-.f64 (*.f64 (-.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) y) y) (*.f64 y y)) |
(/.f64 (-.f64 (pow.f64 (-.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 y (+.f64 (-.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (pow.f64 (-.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 y (+.f64 (+.f64 (pow.f64 (-.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))))) |
(/.f64 (neg.f64 (-.f64 (-.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) #s(literal 1 binary64))) (neg.f64 y)) |
(/.f64 (-.f64 (-.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) #s(literal 1 binary64)) y) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (-.f64 (-.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (-.f64 (-.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) #s(literal 1 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 (-.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) #s(literal 1 binary64)))) |
(neg.f64 (/.f64 (neg.f64 (-.f64 (-.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) #s(literal 1 binary64))) y)) |
(neg.f64 (/.f64 (-.f64 (-.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) #s(literal 1 binary64)) (neg.f64 y))) |
(fma.f64 (-.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) (pow.f64 y #s(literal -1 binary64)) (neg.f64 (pow.f64 y #s(literal -1 binary64)))) |
(-.f64 (/.f64 x y) (/.f64 (+.f64 (/.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)) y) (pow.f64 y #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 y (-.f64 (-.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) #s(literal 1 binary64)))) #s(literal -1 binary64))) |
(+.f64 (/.f64 (-.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) y) (neg.f64 (pow.f64 y #s(literal -1 binary64)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (-.f64 #s(literal -1 binary64) y) (-.f64 #s(literal 1 binary64) (*.f64 y y))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y)) (*.f64 (-.f64 #s(literal -1 binary64) y) (*.f64 y y))) (*.f64 (-.f64 #s(literal -1 binary64) y) (-.f64 #s(literal -1 binary64) y))) |
(/.f64 (-.f64 (*.f64 y y) #s(literal 1 binary64)) (-.f64 y #s(literal -1 binary64))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y))) (neg.f64 (-.f64 #s(literal -1 binary64) y))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal -1 binary64) y)) |
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 y y (-.f64 #s(literal 1 binary64) (neg.f64 y)))) |
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (fma.f64 y y y) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) y) (-.f64 #s(literal 1 binary64) (*.f64 y y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64)))) |
(fma.f64 y #s(literal 1 binary64) #s(literal -1 binary64)) |
(fma.f64 #s(literal 1 binary64) y #s(literal -1 binary64)) |
(-.f64 (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (/.f64 (*.f64 y y) (-.f64 #s(literal -1 binary64) y))) |
(+.f64 #s(literal -1 binary64) y) |
(+.f64 y #s(literal -1 binary64)) |
(*.f64 (pow.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (neg.f64 x) (-.f64 (neg.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)) |
(*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) (pow.f64 (neg.f64 y) #s(literal -1 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(pow.f64 (/.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (neg.f64 y)) (*.f64 (neg.f64 y) (neg.f64 x))) (*.f64 y y)) |
(/.f64 (-.f64 (neg.f64 y) (*.f64 (neg.f64 y) x)) (*.f64 (neg.f64 y) y)) |
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) (*.f64 (neg.f64 y) #s(literal 1 binary64))) (*.f64 (neg.f64 y) (/.f64 y x))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (*.f64 (/.f64 y #s(literal 1 binary64)) (neg.f64 x))) (*.f64 (/.f64 y #s(literal 1 binary64)) (neg.f64 y))) |
(/.f64 (-.f64 y (*.f64 (/.f64 y #s(literal 1 binary64)) x)) (*.f64 (/.f64 y #s(literal 1 binary64)) y)) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 y x)) (*.f64 (/.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 y x))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (*.f64 y (neg.f64 x))) (*.f64 y (neg.f64 y))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 y x)) y) (*.f64 y (/.f64 y x))) |
(/.f64 (-.f64 #s(literal -1 binary64) (neg.f64 x)) (neg.f64 y)) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (pow.f64 y #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal -1 binary64))) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal -1 binary64))) (fma.f64 (neg.f64 x) (-.f64 (neg.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (-.f64 (pow.f64 y #s(literal -2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (+.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 x y))) |
(/.f64 (-.f64 (pow.f64 y #s(literal -3 binary64)) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (+.f64 (pow.f64 y #s(literal -2 binary64)) (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 x y))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x))) (neg.f64 (neg.f64 y))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) y) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) y)) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) y)) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (neg.f64 x) (-.f64 (neg.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) y)) |
(/.f64 (-.f64 y (*.f64 y x)) (*.f64 y y)) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 y (+.f64 x #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 y (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 y (fma.f64 (neg.f64 x) (-.f64 (neg.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) (neg.f64 y)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)))) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) x))) |
(neg.f64 (/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) y)) |
(fma.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64) (neg.f64 (/.f64 x y))) |
(fma.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64)) (neg.f64 (/.f64 x y))) |
(-.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 x y)) |
(exp.f64 (*.f64 (log.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64))) |
(+.f64 (pow.f64 y #s(literal -1 binary64)) (neg.f64 (/.f64 x y))) |
Compiled 18 005 to 2 478 computations (86.2% saved)
16 alts after pruning (13 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 861 | 11 | 872 |
| Fresh | 1 | 2 | 3 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 864 | 16 | 880 |
| Status | Accuracy | Program |
|---|---|---|
| 43.0% | (-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 (-.f64 x (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) #s(literal 1 binary64)) y)))) | |
| ▶ | 43.6% | (-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 x #s(literal 1 binary64)) y)))) |
| ✓ | 47.4% | (-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 x (+.f64 #s(literal -1 binary64) y))))) |
| 19.8% | (-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ (- (- x (/ (- 1 x) y)) 1) y) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)) y))))) | |
| 26.5% | (-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ x (+ -1 y)) (/.f64 x y))))) | |
| 22.4% | (-.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)))))) | |
| ▶ | 25.3% | (-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ x (+ -1 y)) (neg.f64 x))))) |
| 40.3% | (-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (- 1 x) #s(literal 1 binary64))))) | |
| ✓ | 57.3% | (-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (+.f64 y (log1p.f64 (neg.f64 x))))) |
| ▶ | 37.7% | (-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y))))) |
| ✓ | 59.8% | (-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 (neg.f64 x)))) |
| 38.9% | (-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (+ y (log (+ 1 (neg x)))) (-.f64 y x)))) | |
| 39.5% | (-.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)))) | |
| ▶ | 40.1% | (-.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)))) |
| 39.6% | (-.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)))) | |
| ▶ | 40.5% | (-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (neg.f64 x)))) |
Compiled 277 to 264 computations (4.7% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 y (-.f64 #s(literal 1 binary64) y)) | |
| cost-diff | 0 | (log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y))) | |
| cost-diff | 0 | #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)))) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y))))) | |
| cost-diff | 0 | #s(approx (/ x (+ -1 y)) (neg.f64 x)) | |
| cost-diff | 0 | #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ x (+ -1 y)) (neg.f64 x))) | |
| cost-diff | 0 | (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ x (+ -1 y)) (neg.f64 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 x))))) | |
| cost-diff | 0 | (*.f64 (fma.f64 (fma.f64 #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 #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 #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 #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 (-.f64 x #s(literal 1 binary64)) y) | |
| cost-diff | 0 | #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 x #s(literal 1 binary64)) y)) | |
| cost-diff | 0 | (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 x #s(literal 1 binary64)) y))) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 x #s(literal 1 binary64)) y)))) |
| 2 100× | lower-fma.f32 |
| 2 096× | lower-fma.f64 |
| 880× | lower-*.f32 |
| 878× | lower-*.f64 |
| 552× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 328 |
| 0 | 59 | 322 |
| 1 | 94 | 322 |
| 2 | 147 | 322 |
| 3 | 283 | 322 |
| 4 | 531 | 322 |
| 5 | 1028 | 322 |
| 6 | 1794 | 322 |
| 7 | 2756 | 322 |
| 8 | 3133 | 322 |
| 9 | 3211 | 322 |
| 10 | 3217 | 322 |
| 11 | 3217 | 322 |
| 0 | 3217 | 304 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 x #s(literal 1 binary64)) y)))) |
#s(literal 1 binary64) |
(log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 x #s(literal 1 binary64)) y))) |
#s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 x #s(literal 1 binary64)) y)) |
(/.f64 (-.f64 x #s(literal 1 binary64)) y) |
(-.f64 x #s(literal 1 binary64)) |
x |
y |
(-.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 #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 #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 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) |
(*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x) |
(fma.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) |
(fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) |
#s(literal -1/3 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 x))))) |
#s(literal 1 binary64) |
(log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ x (+ -1 y)) (neg.f64 x)))) |
#s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ x (+ -1 y)) (neg.f64 x))) |
#s(approx (/ x (+ -1 y)) (neg.f64 x)) |
(neg.f64 x) |
x |
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y))))) |
#s(literal 1 binary64) |
#s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)))) |
(log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y))) |
(/.f64 y (-.f64 #s(literal 1 binary64) y)) |
y |
(-.f64 #s(literal 1 binary64) y) |
| Outputs |
|---|
(-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 x #s(literal 1 binary64)) y)))) |
#s(literal 1 binary64) |
(log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 x #s(literal 1 binary64)) y))) |
#s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 x #s(literal 1 binary64)) y)) |
(/.f64 (-.f64 x #s(literal 1 binary64)) y) |
(-.f64 x #s(literal 1 binary64)) |
x |
y |
(-.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 #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 #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 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) |
(*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x) |
(fma.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) |
(fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) |
#s(literal -1/3 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 x))))) |
#s(literal 1 binary64) |
(log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ x (+ -1 y)) (neg.f64 x)))) |
#s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ x (+ -1 y)) (neg.f64 x))) |
#s(approx (/ x (+ -1 y)) (neg.f64 x)) |
(neg.f64 x) |
x |
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y))))) |
#s(literal 1 binary64) |
#s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)))) |
(log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y))) |
(/.f64 y (-.f64 #s(literal 1 binary64) y)) |
y |
(-.f64 #s(literal 1 binary64) y) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y))))) | |
| accuracy | 0 | (-.f64 #s(literal 1 binary64) y) | |
| accuracy | 20.189321215747405 | (log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y))) | |
| accuracy | 32.44023762424415 | #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)))) | |
| accuracy | 0 | (neg.f64 x) | |
| accuracy | 20.97467041978404 | #s(approx (/ x (+ -1 y)) (neg.f64 x)) | |
| accuracy | 21.390719086994356 | (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ x (+ -1 y)) (neg.f64 x)))) | |
| accuracy | 34.48805823920308 | #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ x (+ -1 y)) (neg.f64 x))) | |
| accuracy | 0.05859375 | (fma.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) | |
| accuracy | 0.1015625 | (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) | |
| accuracy | 21.399112019439368 | #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)) | |
| accuracy | 32.517812164939286 | #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))) | |
| accuracy | 0 | (-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (neg.f64 x)))) | |
| accuracy | 0 | (neg.f64 x) | |
| accuracy | 21.879016552581234 | #s(approx (log (+ 1 (neg x))) (neg.f64 x)) | |
| accuracy | 32.517812164939286 | #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (neg.f64 x))) | |
| accuracy | 0 | (-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 x #s(literal 1 binary64)) y)))) | |
| accuracy | 0.01953125 | (/.f64 (-.f64 x #s(literal 1 binary64)) y) | |
| accuracy | 21.390719086994356 | (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 x #s(literal 1 binary64)) y))) | |
| accuracy | 35.44188304220122 | #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 x #s(literal 1 binary64)) y)) |
| 66.0ms | 121× | 1 | valid |
| 30.0ms | 51× | 2 | valid |
| 12.0ms | 59× | 0 | valid |
| 5.0ms | 25× | 0 | invalid |
Compiled 212 to 27 computations (87.3% saved)
adjust: 18.0ms (23.9% of total)ival-div: 12.0ms (16% of total)ival-log: 11.0ms (14.6% of total)ival-sub: 10.0ms (13.3% of total)ival-log1p: 9.0ms (12% of total)ival-mult: 6.0ms (8% of total)const: 4.0ms (5.3% of total)ival-add: 4.0ms (5.3% of total)ival-neg: 1.0ms (1.3% 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 (-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 x #s(literal 1 binary64)) y)))) (patch (-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 x #s(literal 1 binary64)) y)))) #<representation binary64>) () ()) |
#s(alt (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 x #s(literal 1 binary64)) y))) (patch (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 x #s(literal 1 binary64)) y))) #<representation binary64>) () ()) |
#s(alt #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 x #s(literal 1 binary64)) y)) (patch #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 x #s(literal 1 binary64)) y)) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 x #s(literal 1 binary64)) y) (patch (/.f64 (-.f64 x #s(literal 1 binary64)) y) #<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 #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 #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 #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 #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 #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 #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 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x) (patch (*.f64 (fma.f64 (fma.f64 #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)) (neg.f64 x))))) (patch (-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ x (+ -1 y)) (neg.f64 x))))) #<representation binary64>) () ()) |
#s(alt (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ x (+ -1 y)) (neg.f64 x)))) (patch (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ x (+ -1 y)) (neg.f64 x)))) #<representation binary64>) () ()) |
#s(alt #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ x (+ -1 y)) (neg.f64 x))) (patch #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ x (+ -1 y)) (neg.f64 x))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ x (+ -1 y)) (neg.f64 x)) (patch #s(approx (/ x (+ -1 y)) (neg.f64 x)) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y))))) (patch (-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y))))) #<representation binary64>) () ()) |
#s(alt #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)))) (patch #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)))) #<representation binary64>) () ()) |
#s(alt (log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y))) (patch (log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ()) |
#s(alt (/.f64 y (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 y (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) (patch (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) (patch (fma.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (- 1 (log (- 1 x))) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 x #s(literal 1 binary64)) y)))) (patch (-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 x #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 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 x #s(literal 1 binary64)) y)))) (patch (-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 x #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 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 x #s(literal 1 binary64)) y)))) (patch (-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 x #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 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 x #s(literal 1 binary64)) y)))) (patch (-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 x #s(literal 1 binary64)) y)))) #<representation binary64>) () ())) ()) |
#s(alt (log (- 1 x)) (taylor 0 y) (#s(alt (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 x #s(literal 1 binary64)) y))) (patch (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 x #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 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 x #s(literal 1 binary64)) y))) (patch (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 x #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 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 x #s(literal 1 binary64)) y))) (patch (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 x #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 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 x #s(literal 1 binary64)) y))) (patch (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 x #s(literal 1 binary64)) y))) #<representation binary64>) () ())) ()) |
#s(alt (- 1 x) (taylor 0 y) (#s(alt #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 x #s(literal 1 binary64)) y)) (patch #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 x #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (* y (+ 1 (* -1 x)))) x) (taylor 0 y) (#s(alt #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 x #s(literal 1 binary64)) y)) (patch #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 x #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (* y (+ 1 (+ (* -1 x) (* y (+ 1 (* -1 x))))))) x) (taylor 0 y) (#s(alt #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 x #s(literal 1 binary64)) y)) (patch #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 x #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 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 x #s(literal 1 binary64)) y)) (patch #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 x #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- x 1) y) (taylor 0 y) (#s(alt (/.f64 (-.f64 x #s(literal 1 binary64)) y) (patch (/.f64 (-.f64 x #s(literal 1 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (- x 1) y) (taylor 0 y) (#s(alt (/.f64 (-.f64 x #s(literal 1 binary64)) y) (patch (/.f64 (-.f64 x #s(literal 1 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (- x 1) y) (taylor 0 y) (#s(alt (/.f64 (-.f64 x #s(literal 1 binary64)) y) (patch (/.f64 (-.f64 x #s(literal 1 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (- x 1) y) (taylor 0 y) (#s(alt (/.f64 (-.f64 x #s(literal 1 binary64)) y) (patch (/.f64 (-.f64 x #s(literal 1 binary64)) y) #<representation binary64>) () ())) ()) |
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6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 9.0ms | x | @ | inf | ((- 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)))) (log (+ 1 (neg x))) (neg x) (- 1 (log (- 1 (/ (- x y) (- 1 y))))) (log (- 1 (/ (- x y) (- 1 y)))) (log (+ 1 (neg 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)))) (log (+ 1 (/ y (- 1 y)))) (/ y (- 1 y)) (+ (* -1/3 x) -1/2) (+ (* (+ (* -1/3 x) -1/2) x) -1) (- 1 y)) |
| 2.0ms | x | @ | -inf | ((- 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)))) (log (+ 1 (neg x))) (neg x) (- 1 (log (- 1 (/ (- x y) (- 1 y))))) (log (- 1 (/ (- x y) (- 1 y)))) (log (+ 1 (neg 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)))) (log (+ 1 (/ y (- 1 y)))) (/ y (- 1 y)) (+ (* -1/3 x) -1/2) (+ (* (+ (* -1/3 x) -1/2) x) -1) (- 1 y)) |
| 1.0ms | y | @ | -inf | ((- 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)))) (log (+ 1 (neg x))) (neg x) (- 1 (log (- 1 (/ (- x y) (- 1 y))))) (log (- 1 (/ (- x y) (- 1 y)))) (log (+ 1 (neg 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)))) (log (+ 1 (/ y (- 1 y)))) (/ y (- 1 y)) (+ (* -1/3 x) -1/2) (+ (* (+ (* -1/3 x) -1/2) x) -1) (- 1 y)) |
| 1.0ms | x | @ | 0 | ((- 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)))) (log (+ 1 (neg x))) (neg x) (- 1 (log (- 1 (/ (- x y) (- 1 y))))) (log (- 1 (/ (- x y) (- 1 y)))) (log (+ 1 (neg 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)))) (log (+ 1 (/ y (- 1 y)))) (/ y (- 1 y)) (+ (* -1/3 x) -1/2) (+ (* (+ (* -1/3 x) -1/2) x) -1) (- 1 y)) |
| 1.0ms | y | @ | inf | ((- 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)))) (log (+ 1 (neg x))) (neg x) (- 1 (log (- 1 (/ (- x y) (- 1 y))))) (log (- 1 (/ (- x y) (- 1 y)))) (log (+ 1 (neg 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)))) (log (+ 1 (/ y (- 1 y)))) (/ y (- 1 y)) (+ (* -1/3 x) -1/2) (+ (* (+ (* -1/3 x) -1/2) x) -1) (- 1 y)) |
| 1× | egg-herbie |
| 6 758× | lower-fma.f64 |
| 6 758× | lower-fma.f32 |
| 3 518× | lower-+.f64 |
| 3 518× | lower-+.f32 |
| 3 380× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 557 | 11665 |
| 1 | 1765 | 8794 |
| 2 | 5827 | 7720 |
| 0 | 8492 | 7279 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- 1 (log (- 1 x))) |
(- (+ 1 (* -1 (* y (+ (* -1 (/ x (- 1 x))) (/ 1 (- 1 x)))))) (log (- 1 x))) |
(- (+ 1 (* y (- (* -1/2 (* y (+ (* -1 (/ (pow (+ 1 (* -1 x)) 2) (pow (- 1 x) 2))) (* 2 (/ (+ 1 (* -1 x)) (- 1 x)))))) (+ (* -1 (/ x (- 1 x))) (/ 1 (- 1 x)))))) (log (- 1 x))) |
(- (+ 1 (* y (- (* y (- (* -1/6 (* y (+ (* -6 (/ (pow (+ 1 (* -1 x)) 2) (pow (- 1 x) 2))) (+ (* 2 (/ (pow (+ 1 (* -1 x)) 3) (pow (- 1 x) 3))) (* 6 (/ (+ 1 (* -1 x)) (- 1 x))))))) (* 1/2 (+ (* -1 (/ (pow (+ 1 (* -1 x)) 2) (pow (- 1 x) 2))) (* 2 (/ (+ 1 (* -1 x)) (- 1 x))))))) (+ (* -1 (/ x (- 1 x))) (/ 1 (- 1 x)))))) (log (- 1 x))) |
(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 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) y) |
(/ (- x 1) y) |
(/ (- x 1) y) |
(/ (- x 1) y) |
(- 1 (log (- 1 x))) |
(- (+ 1 (* -1 (* y (+ (* -1 (/ x (- 1 x))) (/ 1 (- 1 x)))))) (log (- 1 x))) |
(- (+ 1 (* y (- (* -1/2 (* y (+ (* -1 (/ (pow (+ 1 (* -1 x)) 2) (pow (- 1 x) 2))) (* 2 (/ (+ 1 (* -1 x)) (- 1 x)))))) (+ (* -1 (/ x (- 1 x))) (/ 1 (- 1 x)))))) (log (- 1 x))) |
(- (+ 1 (* y (- (* y (- (* -1/6 (* y (+ (* -6 (/ (pow (+ 1 (* -1 x)) 2) (pow (- 1 x) 2))) (+ (* 2 (/ (pow (+ 1 (* -1 x)) 3) (pow (- 1 x) 3))) (* 6 (/ (+ 1 (* -1 x)) (- 1 x))))))) (* 1/2 (+ (* -1 (/ (pow (+ 1 (* -1 x)) 2) (pow (- 1 x) 2))) (* 2 (/ (+ 1 (* -1 x)) (- 1 x))))))) (+ (* -1 (/ x (- 1 x))) (/ 1 (- 1 x)))))) (log (- 1 x))) |
(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))) |
(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))) |
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(- (+ 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))) |
(* -1/3 (pow x 3)) |
(* -1 (* (pow x 3) (+ 1/3 (* 1/2 (/ 1 x))))) |
(* -1 (* (pow x 3) (+ 1/3 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 3) (+ 1/3 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))) |
(- 1 (+ (log (/ 1 (- 1 y))) (* -1 (log (/ -1 x))))) |
(- (+ 1 (/ (* (- 1 y) (- 1 (* -1 (/ y (- 1 y))))) x)) (+ (log (/ 1 (- 1 y))) (* -1 (log (/ -1 x))))) |
(- (+ 1 (* -1 (/ (- (* -1/2 (/ (* (pow (- 1 y) 2) (pow (- 1 (* -1 (/ y (- 1 y)))) 2)) x)) (* (- 1 y) (- 1 (* -1 (/ y (- 1 y)))))) x))) (+ (log (/ 1 (- 1 y))) (* -1 (log (/ -1 x))))) |
(- (+ 1 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ (* (pow (- 1 y) 3) (pow (- 1 (* -1 (/ y (- 1 y)))) 3)) x)) (* -1/2 (* (pow (- 1 y) 2) (pow (- 1 (* -1 (/ y (- 1 y)))) 2)))) x)) (* (- 1 y) (- 1 (* -1 (/ y (- 1 y)))))) x))) (+ (log (/ 1 (- 1 y))) (* -1 (log (/ -1 x))))) |
(+ (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 (+ (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)))) |
(* -1/3 x) |
(* -1 (* x (+ 1/3 (* 1/2 (/ 1 x))))) |
(* -1 (* x (+ 1/3 (* 1/2 (/ 1 x))))) |
(* -1 (* x (+ 1/3 (* 1/2 (/ 1 x))))) |
(* -1/3 (pow x 2)) |
(* -1 (* (pow x 2) (+ 1/3 (* 1/2 (/ 1 x))))) |
(* (pow x 2) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/3)) |
(* (pow x 2) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/3)) |
| Outputs |
|---|
(- 1 (log (- 1 x))) |
(-.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x))) |
(- (+ 1 (* -1 (* y (+ (* -1 (/ x (- 1 x))) (/ 1 (- 1 x)))))) (log (- 1 x))) |
(-.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 x))) |
(- (+ 1 (* y (- (* -1/2 (* y (+ (* -1 (/ (pow (+ 1 (* -1 x)) 2) (pow (- 1 x) 2))) (* 2 (/ (+ 1 (* -1 x)) (- 1 x)))))) (+ (* -1 (/ x (- 1 x))) (/ 1 (- 1 x)))))) (log (- 1 x))) |
(-.f64 (fma.f64 (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 #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))) |
(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)))))) |
(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 x) |
(-.f64 #s(literal 1 binary64) x) |
(- (+ 1 (* y (+ 1 (* -1 x)))) x) |
(*.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) |
(- (+ 1 (* y (+ 1 (+ (* -1 x) (* y (+ 1 (* -1 x))))))) x) |
(fma.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) y (-.f64 #s(literal 1 binary64) x)) |
(- (+ 1 (* y (+ 1 (+ (* -1 x) (* y (+ 1 (+ (* -1 x) (* y (+ 1 (* -1 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)) |
(/ (- x 1) y) |
(/.f64 (-.f64 x #s(literal 1 binary64)) y) |
(/ (- x 1) y) |
(/.f64 (-.f64 x #s(literal 1 binary64)) y) |
(/ (- x 1) y) |
(/.f64 (-.f64 x #s(literal 1 binary64)) y) |
(/ (- x 1) y) |
(/.f64 (-.f64 x #s(literal 1 binary64)) y) |
(- 1 (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 #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))) |
(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)))))) |
(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 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 #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))) |
(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)))))) |
(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 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 #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))) |
(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)))))) |
(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 x) |
(-.f64 #s(literal 1 binary64) x) |
(- (+ 1 (* y (+ 1 (* -1 x)))) x) |
(*.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) |
(- (+ 1 (* y (+ 1 (+ (* -1 x) (* y (+ 1 (* -1 x))))))) x) |
(fma.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) y (-.f64 #s(literal 1 binary64) x)) |
(- (+ 1 (* y (+ 1 (+ (* -1 x) (* y (+ 1 (+ (* -1 x) (* y (+ 1 (* -1 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 x) |
(neg.f64 x) |
(+ (* -1 x) (* -1 (* x y))) |
(neg.f64 (fma.f64 y x x)) |
(+ (* -1 x) (* y (- (* -1 (* x y)) x))) |
(fma.f64 (neg.f64 y) (fma.f64 y x x) (neg.f64 x)) |
(+ (* -1 x) (* y (- (* y (- (* -1 (* x y)) x)) x))) |
(fma.f64 (fma.f64 (neg.f64 y) (fma.f64 y x x) (neg.f64 x)) y (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 #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))) |
(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)))))) |
(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))) |
y |
(* y (+ 1 (* 1/2 y))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y) |
(* y (+ 1 (* y (+ 1/2 (* 1/3 y))))) |
(fma.f64 (*.f64 y y) (fma.f64 #s(literal 1/3 binary64) y #s(literal 1/2 binary64)) y) |
(* y (+ 1 (* y (+ 1/2 (* y (+ 1/3 (* 1/4 y))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) y #s(literal 1/3 binary64)) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y) |
y |
(* y (+ 1 y)) |
(fma.f64 y y y) |
(* y (+ 1 (* y (+ 1 y)))) |
(fma.f64 (fma.f64 y y y) y y) |
(* y (+ 1 (* y (+ 1 (* y (+ 1 y)))))) |
(fma.f64 (fma.f64 (fma.f64 y y y) y y) y y) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 y)) |
(-.f64 #s(literal 1 binary64) y) |
(+ 1 (* -1 y)) |
(-.f64 #s(literal 1 binary64) y) |
(+ 1 (* -1 y)) |
(-.f64 #s(literal 1 binary64) y) |
(- 1 (+ (log (neg (+ 1 (* -1 x)))) (log (/ 1 y)))) |
(-.f64 (+.f64 #s(literal 1 binary64) (log.f64 y)) (log.f64 (-.f64 x #s(literal 1 binary64)))) |
(- (+ 1 (/ x (* y (+ 1 (* -1 x))))) (+ (log (neg (+ 1 (* -1 x)))) (+ (log (/ 1 y)) (/ 1 (* y (+ 1 (* -1 x))))))) |
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(+ (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 (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))) (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 (/.f64 y (-.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) (-.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))) (neg.f64 x)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (log1p.f64 (neg.f64 y))) |
(* -1/3 x) |
(*.f64 #s(literal -1/3 binary64) x) |
(* -1 (* x (+ 1/3 (* 1/2 (/ 1 x))))) |
(fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) |
(* -1 (* x (+ 1/3 (* 1/2 (/ 1 x))))) |
(fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) |
(* -1 (* x (+ 1/3 (* 1/2 (/ 1 x))))) |
(fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) |
(* -1/3 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/3 binary64)) |
(* -1 (* (pow x 2) (+ 1/3 (* 1/2 (/ 1 x))))) |
(*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) x) |
(* (pow x 2) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/3)) |
(*.f64 (*.f64 (-.f64 #s(literal -1/3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) x) x) |
(* (pow x 2) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/3)) |
(*.f64 (*.f64 (-.f64 #s(literal -1/3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) x) x) |
| 4 958× | lower-*.f32 |
| 4 956× | lower-*.f64 |
| 4 588× | lower-/.f32 |
| 4 584× | lower-/.f64 |
| 2 698× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 309 |
| 0 | 59 | 303 |
| 1 | 260 | 303 |
| 2 | 2105 | 303 |
| 0 | 8794 | 291 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 x #s(literal 1 binary64)) y)))) |
(log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 x #s(literal 1 binary64)) y))) |
#s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 x #s(literal 1 binary64)) y)) |
(/.f64 (-.f64 x #s(literal 1 binary64)) y) |
(-.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 #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 #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 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) 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) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ x (+ -1 y)) (neg.f64 x))))) |
(log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ x (+ -1 y)) (neg.f64 x)))) |
#s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ x (+ -1 y)) (neg.f64 x))) |
#s(approx (/ x (+ -1 y)) (neg.f64 x)) |
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y))))) |
#s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)))) |
(log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y))) |
(/.f64 y (-.f64 #s(literal 1 binary64) y)) |
(fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) |
(fma.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) |
(-.f64 #s(literal 1 binary64) y) |
| Outputs |
|---|
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 x #s(literal 1 binary64)) y))) #s(literal 2 binary64))) (pow.f64 (+.f64 (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 x #s(literal 1 binary64)) y))) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 x #s(literal 1 binary64)) y))) #s(literal 3 binary64))) (pow.f64 (fma.f64 (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 x #s(literal 1 binary64)) y))) (+.f64 (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 x #s(literal 1 binary64)) y))) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (+.f64 (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 x #s(literal 1 binary64)) y))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 x #s(literal 1 binary64)) y))) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 x #s(literal 1 binary64)) y))) (+.f64 (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 x #s(literal 1 binary64)) y))) #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 x #s(literal 1 binary64)) y))) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 x #s(literal 1 binary64)) y))) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (+.f64 (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 x #s(literal 1 binary64)) y))) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 x #s(literal 1 binary64)) y))) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 x #s(literal 1 binary64)) y))) (+.f64 (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 x #s(literal 1 binary64)) y))) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 x #s(literal 1 binary64)) y))) #s(literal 1 binary64))) (*.f64 (+.f64 (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 x #s(literal 1 binary64)) y))) #s(literal 1 binary64)) (pow.f64 (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 x #s(literal 1 binary64)) y))) #s(literal 2 binary64)))) (*.f64 (+.f64 (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 x #s(literal 1 binary64)) y))) #s(literal 1 binary64)) (+.f64 (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 x #s(literal 1 binary64)) y))) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 x #s(literal 1 binary64)) y))) (+.f64 (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 x #s(literal 1 binary64)) y))) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 x #s(literal 1 binary64)) y))) (+.f64 (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 x #s(literal 1 binary64)) y))) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 x #s(literal 1 binary64)) y))) #s(literal 3 binary64)))) (*.f64 (fma.f64 (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 x #s(literal 1 binary64)) y))) (+.f64 (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 x #s(literal 1 binary64)) y))) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 x #s(literal 1 binary64)) y))) (+.f64 (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 x #s(literal 1 binary64)) y))) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 x #s(literal 1 binary64)) y))) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 x #s(literal 1 binary64)) y))))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 x #s(literal 1 binary64)) y))) #s(literal 2 binary64)))) (neg.f64 (+.f64 (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 x #s(literal 1 binary64)) y))) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 x #s(literal 1 binary64)) y))) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 x #s(literal 1 binary64)) y))) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (neg.f64 (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 x #s(literal 1 binary64)) y))))))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 x #s(literal 1 binary64)) y))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 x #s(literal 1 binary64)) y))) (+.f64 (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 x #s(literal 1 binary64)) y))) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 x #s(literal 1 binary64)) y))) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (neg.f64 (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 x #s(literal 1 binary64)) y)))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 x #s(literal 1 binary64)) y))) #s(literal 2 binary64))) (+.f64 (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 x #s(literal 1 binary64)) y))) #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 x #s(literal 1 binary64)) y))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 x #s(literal 1 binary64)) y))) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (neg.f64 (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 x #s(literal 1 binary64)) y)))))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 x #s(literal 1 binary64)) y))) #s(literal 3 binary64))) (fma.f64 (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 x #s(literal 1 binary64)) y))) (+.f64 (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 x #s(literal 1 binary64)) y))) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 x #s(literal 1 binary64)) y))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 x #s(literal 1 binary64)) y))) #s(literal 2 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 x #s(literal 1 binary64)) y))) (+.f64 (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 x #s(literal 1 binary64)) y))) #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 x #s(literal 1 binary64)) y))) #s(literal 3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 x #s(literal 1 binary64)) y))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 x #s(literal 1 binary64)) y))) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 x #s(literal 1 binary64)) y))) (+.f64 (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 x #s(literal 1 binary64)) y))) #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 x #s(literal 1 binary64)) y))) #s(literal 3 binary64))))) |
(fma.f64 #s(literal -1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 x #s(literal 1 binary64)) y))) #s(literal 1 binary64)) |
(-.f64 (pow.f64 (+.f64 (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 x #s(literal 1 binary64)) y))) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 x #s(literal 1 binary64)) y))) #s(literal 2 binary64)) (+.f64 (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 x #s(literal 1 binary64)) y))) #s(literal 1 binary64)))) |
(-.f64 (pow.f64 (fma.f64 (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 x #s(literal 1 binary64)) y))) (+.f64 (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 x #s(literal 1 binary64)) 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 (-.f64 x #s(literal 1 binary64)) y))) #s(literal 3 binary64)) (fma.f64 (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 x #s(literal 1 binary64)) y))) (+.f64 (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 x #s(literal 1 binary64)) y))) #s(literal 1 binary64)) #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)))) |
(+.f64 (neg.f64 (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 x #s(literal 1 binary64)) y)))) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (neg.f64 (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 x #s(literal 1 binary64)) y))))) |
(*.f64 (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 x #s(literal 1 binary64)) 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)))) |
(log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 x #s(literal 1 binary64)) y))) |
#s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 x #s(literal 1 binary64)) y)) |
(*.f64 (pow.f64 (/.f64 y (fma.f64 x x #s(literal -1 binary64))) #s(literal -1 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 y (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 (neg.f64 y) #s(literal -1 binary64))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) y)) |
(pow.f64 (/.f64 (/.f64 y (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 y (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64)))) (neg.f64 (+.f64 x #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal -1 binary64)))) (neg.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) (neg.f64 y)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 y #s(literal -2 binary64)))) (neg.f64 (+.f64 (/.f64 x y) (pow.f64 y #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 y #s(literal -3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (+.f64 (pow.f64 y #s(literal -2 binary64)) (*.f64 (/.f64 x y) (pow.f64 y #s(literal -1 binary64))))))) |
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(*.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) x) #s(literal 3 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) (neg.f64 x))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) (neg.f64 x))) (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) x) #s(literal 3 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal -1 binary64) (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) x)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) x) #s(literal 3 binary64)) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) (neg.f64 x)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) x) #s(literal 2 binary64)) (fma.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64))) (*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) x) #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) x))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) x) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) x) #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) (neg.f64 x)))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) x) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) (neg.f64 x))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) x) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) x) #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) (neg.f64 x))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) x) #s(literal 3 binary64)) #s(literal -1 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) (neg.f64 x)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) (neg.f64 x))) (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) x) #s(literal 3 binary64)) #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) (neg.f64 x))) (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) x) #s(literal 3 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) |
(fma.f64 x (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) #s(literal -1 binary64)) |
(-.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) x) #s(literal 2 binary64)) (fma.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64))) (pow.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) #s(literal -1 binary64))) |
(+.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) x) #s(literal -1 binary64)) |
(+.f64 #s(literal -1 binary64) (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) x)) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) y)) |
(pow.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y y))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64)))) (neg.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (neg.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)))) (neg.f64 (neg.f64 (+.f64 y #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)))) (neg.f64 (-.f64 #s(literal -1 binary64) y))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (*.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 y y))) (*.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 (fma.f64 y y y) #s(literal 1 binary64))) (*.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) (+.f64 (fma.f64 y y y) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 y y) (*.f64 #s(literal 1 binary64) (neg.f64 y)))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y))) (neg.f64 (-.f64 #s(literal 1 binary64) (neg.f64 y)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y))) (neg.f64 (neg.f64 (-.f64 #s(literal -1 binary64) y)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y))) (neg.f64 (+.f64 y #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y))) (-.f64 #s(literal -1 binary64) y)) |
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (neg.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64))) (+.f64 (fma.f64 y y y) #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (neg.f64 y))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (neg.f64 (-.f64 #s(literal -1 binary64) y))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (+.f64 y #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 y y) (*.f64 #s(literal 1 binary64) (neg.f64 y))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 (fma.f64 y y y) #s(literal 1 binary64))) |
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64)) (neg.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y y))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) |
(neg.f64 (+.f64 #s(literal -1 binary64) y)) |
(fma.f64 #s(literal -1 binary64) y #s(literal 1 binary64)) |
(fma.f64 y #s(literal -1 binary64) #s(literal 1 binary64)) |
(-.f64 (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 y y) (+.f64 y #s(literal 1 binary64)))) |
(-.f64 (pow.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (fma.f64 y y y) #s(literal 1 binary64)))) |
(-.f64 #s(literal 0 binary64) (+.f64 #s(literal -1 binary64) y)) |
(-.f64 #s(literal 1 binary64) y) |
(+.f64 (neg.f64 y) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (neg.f64 y)) |
Compiled 16 963 to 2 277 computations (86.6% saved)
24 alts after pruning (16 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 817 | 10 | 827 |
| Fresh | 2 | 6 | 8 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 3 | 3 |
| Total | 819 | 24 | 843 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 43.0% | (-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 (-.f64 x (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) #s(literal 1 binary64)) y)))) |
| 21.1% | (-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 (*.f64 y x) y) (*.f64 y y))))) | |
| ✓ | 43.6% | (-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 x #s(literal 1 binary64)) y)))) |
| ✓ | 47.4% | (-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 x (+.f64 #s(literal -1 binary64) y))))) |
| 19.8% | (-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ (- (- x (/ (- 1 x) y)) 1) y) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)) y))))) | |
| ▶ | 26.5% | (-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ (- x 1) y) (/.f64 x y))))) |
| 21.8% | (-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ (- x 1) y) (/.f64 #s(literal -1 binary64) y))))) | |
| 22.4% | (-.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)))))) | |
| ✓ | 25.3% | (-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ x (+ -1 y)) (neg.f64 x))))) |
| ▶ | 40.3% | (-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (- 1 x) #s(literal 1 binary64))))) |
| ✓ | 57.3% | (-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (+.f64 y (log1p.f64 (neg.f64 x))))) |
| ✓ | 37.7% | (-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y))))) |
| ✓ | 59.8% | (-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 (neg.f64 x)))) |
| 38.1% | (-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 #s(approx (/ y (- 1 y)) (fma.f64 y y y))))) | |
| ▶ | 38.9% | (-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (+ y (log (+ 1 (neg x)))) (-.f64 y x)))) |
| 37.4% | (-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (/ y (- 1 y)))) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 1/3 binary64) y #s(literal 1/2 binary64)) y)))) | |
| 36.9% | (-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (/ y (- 1 y)))) (*.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y)))) | |
| 40.4% | (-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x))))) | |
| 39.5% | (-.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)))) | |
| ✓ | 40.1% | (-.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)))) |
| 39.6% | (-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (*.f64 (fma.f64 #s(approx (+ (* -1/3 x) -1/2) #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)))) | |
| ▶ | 39.4% | (-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (*.f64 #s(approx (+ (* (+ (* -1/3 x) -1/2) x) -1) (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) x)) x)))) |
| 39.4% | (-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (*.f64 #s(approx (+ (* (+ (* -1/3 x) -1/2) x) -1) (*.f64 (*.f64 x x) #s(literal -1/3 binary64))) x)))) | |
| ✓ | 40.5% | (-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (neg.f64 x)))) |
Compiled 417 to 385 computations (7.7% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| 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 | #s(approx (- 1 x) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (- 1 x) #s(literal 1 binary64))) | |
| cost-diff | 0 | (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (- 1 x) #s(literal 1 binary64)))) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (- 1 x) #s(literal 1 binary64))))) | |
| cost-diff | 0 | (*.f64 #s(approx (+ (* (+ (* -1/3 x) -1/2) x) -1) (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) x)) x) | |
| cost-diff | 0 | #s(approx (log (+ 1 (neg x))) (*.f64 #s(approx (+ (* (+ (* -1/3 x) -1/2) x) -1) (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) x)) x)) | |
| cost-diff | 0 | #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (*.f64 #s(approx (+ (* (+ (* -1/3 x) -1/2) x) -1) (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) x)) x))) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (*.f64 #s(approx (+ (* (+ (* -1/3 x) -1/2) x) -1) (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) x)) 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 | (/.f64 (-.f64 (-.f64 x (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) #s(literal 1 binary64)) y) | |
| cost-diff | 0 | #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 (-.f64 x (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) #s(literal 1 binary64)) y)) | |
| cost-diff | 0 | (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 (-.f64 x (/.f64 #s(approx (- 1 x) #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 (-.f64 (-.f64 x (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) #s(literal 1 binary64)) y)))) |
| 2 228× | lower-fma.f32 |
| 2 226× | lower-fma.f64 |
| 960× | lower-*.f32 |
| 956× | lower-*.f64 |
| 656× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 49 | 454 |
| 0 | 66 | 448 |
| 1 | 108 | 448 |
| 2 | 177 | 448 |
| 3 | 311 | 448 |
| 4 | 543 | 448 |
| 5 | 1143 | 448 |
| 6 | 2214 | 448 |
| 7 | 2919 | 448 |
| 8 | 3251 | 448 |
| 9 | 3449 | 448 |
| 10 | 3490 | 448 |
| 11 | 3495 | 448 |
| 12 | 3496 | 448 |
| 13 | 3504 | 448 |
| 0 | 3504 | 429 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 (-.f64 x (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) #s(literal 1 binary64)) y)))) |
#s(literal 1 binary64) |
(log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 (-.f64 x (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) #s(literal 1 binary64)) y))) |
#s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 (-.f64 x (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) #s(literal 1 binary64)) y)) |
(/.f64 (-.f64 (-.f64 x (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) #s(literal 1 binary64)) y) |
(-.f64 (-.f64 x (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) #s(literal 1 binary64)) |
(-.f64 x (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) |
x |
(/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) |
#s(approx (- 1 x) #s(literal 1 binary64)) |
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 #s(approx (+ (* (+ (* -1/3 x) -1/2) x) -1) (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) x)) x)))) |
#s(literal 1 binary64) |
#s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (*.f64 #s(approx (+ (* (+ (* -1/3 x) -1/2) x) -1) (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) x)) x))) |
#s(approx (log (+ 1 (neg x))) (*.f64 #s(approx (+ (* (+ (* -1/3 x) -1/2) x) -1) (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) x)) x)) |
(*.f64 #s(approx (+ (* (+ (* -1/3 x) -1/2) x) -1) (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) x)) x) |
#s(approx (+ (* (+ (* -1/3 x) -1/2) x) -1) (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) x)) |
(*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) x) |
(fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) |
#s(literal -1/3 binary64) |
x |
#s(literal -1/2 binary64) |
(-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (- 1 x) #s(literal 1 binary64))))) |
#s(literal 1 binary64) |
(log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (- 1 x) #s(literal 1 binary64)))) |
#s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (- 1 x) #s(literal 1 binary64))) |
#s(approx (- 1 x) #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 |
| Outputs |
|---|
(-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 (-.f64 x (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) #s(literal 1 binary64)) y)))) |
#s(literal 1 binary64) |
(log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 (-.f64 x (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) #s(literal 1 binary64)) y))) |
#s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 (-.f64 x (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) #s(literal 1 binary64)) y)) |
(/.f64 (-.f64 (-.f64 x (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) #s(literal 1 binary64)) y) |
(-.f64 (-.f64 x (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) #s(literal 1 binary64)) |
(-.f64 x (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) |
x |
(/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) |
#s(approx (- 1 x) #s(literal 1 binary64)) |
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 #s(approx (+ (* (+ (* -1/3 x) -1/2) x) -1) (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) x)) x)))) |
#s(literal 1 binary64) |
#s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (*.f64 #s(approx (+ (* (+ (* -1/3 x) -1/2) x) -1) (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) x)) x))) |
#s(approx (log (+ 1 (neg x))) (*.f64 #s(approx (+ (* (+ (* -1/3 x) -1/2) x) -1) (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) x)) x)) |
(*.f64 #s(approx (+ (* (+ (* -1/3 x) -1/2) x) -1) (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) x)) x) |
#s(approx (+ (* (+ (* -1/3 x) -1/2) x) -1) (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) x)) |
(*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) x) |
(fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) |
#s(literal -1/3 binary64) |
x |
#s(literal -1/2 binary64) |
(-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (- 1 x) #s(literal 1 binary64))))) |
#s(literal 1 binary64) |
(log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (- 1 x) #s(literal 1 binary64)))) |
#s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (- 1 x) #s(literal 1 binary64))) |
#s(approx (- 1 x) #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 |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ (- x 1) y) (/.f64 x y))))) | |
| accuracy | 21.390719086994356 | (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ (- x 1) y) (/.f64 x y)))) | |
| accuracy | 34.63995004015 | #s(approx (/ (- x 1) y) (/.f64 x y)) | |
| accuracy | 35.44188304220122 | #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ (- x 1) y) (/.f64 x y))) | |
| accuracy | 0 | (-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (- 1 x) #s(literal 1 binary64))))) | |
| accuracy | 21.138890164497386 | #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (- 1 x) #s(literal 1 binary64))) | |
| accuracy | 21.390719086994356 | (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (- 1 x) #s(literal 1 binary64)))) | |
| accuracy | 21.92879932431921 | #s(approx (- 1 x) #s(literal 1 binary64)) | |
| accuracy | 0.1015625 | (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) | |
| accuracy | 21.399112019439368 | #s(approx (log (+ 1 (neg x))) (*.f64 #s(approx (+ (* (+ (* -1/3 x) -1/2) x) -1) (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) x)) x)) | |
| accuracy | 32.517812164939286 | #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (*.f64 #s(approx (+ (* (+ (* -1/3 x) -1/2) x) -1) (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) x)) x))) | |
| accuracy | 34.35756481000333 | #s(approx (+ (* (+ (* -1/3 x) -1/2) x) -1) (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) x)) | |
| accuracy | 0 | (-.f64 y x) | |
| accuracy | 0 | (-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (+ y (log (+ 1 (neg x)))) (-.f64 y x)))) | |
| accuracy | 17.365682372918958 | #s(approx (+ y (log (+ 1 (neg x)))) (-.f64 y x)) | |
| accuracy | 21.126929044288183 | #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (+ y (log (+ 1 (neg x)))) (-.f64 y x))) | |
| accuracy | 0.06640625 | (/.f64 (-.f64 (-.f64 x (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) #s(literal 1 binary64)) y) | |
| accuracy | 21.390719086994356 | (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 (-.f64 x (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) #s(literal 1 binary64)) y))) | |
| accuracy | 21.92879932431921 | #s(approx (- 1 x) #s(literal 1 binary64)) | |
| accuracy | 36.10990484172995 | #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 (-.f64 x (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) #s(literal 1 binary64)) y)) |
| 77.0ms | 139× | 1 | valid |
| 21.0ms | 78× | 0 | valid |
| 9.0ms | 14× | 2 | valid |
| 5.0ms | 25× | 0 | invalid |
Compiled 246 to 31 computations (87.4% saved)
ival-sub: 19.0ms (24.3% of total)ival-div: 16.0ms (20.5% of total)adjust: 12.0ms (15.4% of total)ival-log: 11.0ms (14.1% of total)ival-log1p: 6.0ms (7.7% of total)ival-mult: 5.0ms (6.4% of total)const: 4.0ms (5.1% of total)ival-add: 4.0ms (5.1% of total)ival-neg: 1.0ms (1.3% 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 (-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 (-.f64 x (/.f64 #s(approx (- 1 x) #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 (-.f64 (-.f64 x (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) #s(literal 1 binary64)) y)))) #<representation binary64>) () ()) |
#s(alt (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 (-.f64 x (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) #s(literal 1 binary64)) y))) (patch (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 (-.f64 x (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) #s(literal 1 binary64)) y))) #<representation binary64>) () ()) |
#s(alt #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 (-.f64 x (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) #s(literal 1 binary64)) y)) (patch #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 (-.f64 x (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) #s(literal 1 binary64)) y)) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 (-.f64 x (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) #s(literal 1 binary64)) y) (patch (/.f64 (-.f64 (-.f64 x (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) #s(literal 1 binary64)) y) #<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 #s(approx (+ (* (+ (* -1/3 x) -1/2) x) -1) (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) x)) x)))) (patch (-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (*.f64 #s(approx (+ (* (+ (* -1/3 x) -1/2) x) -1) (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) x)) x)))) #<representation binary64>) () ()) |
#s(alt #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (*.f64 #s(approx (+ (* (+ (* -1/3 x) -1/2) x) -1) (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) x)) x))) (patch #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (*.f64 #s(approx (+ (* (+ (* -1/3 x) -1/2) x) -1) (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) x)) x))) #<representation binary64>) () ()) |
#s(alt #s(approx (log (+ 1 (neg x))) (*.f64 #s(approx (+ (* (+ (* -1/3 x) -1/2) x) -1) (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) x)) x)) (patch #s(approx (log (+ 1 (neg x))) (*.f64 #s(approx (+ (* (+ (* -1/3 x) -1/2) x) -1) (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) x)) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (+ (* (+ (* -1/3 x) -1/2) x) -1) (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) x)) x) (patch (*.f64 #s(approx (+ (* (+ (* -1/3 x) -1/2) x) -1) (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) x)) x) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (- 1 x) #s(literal 1 binary64))))) (patch (-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (- 1 x) #s(literal 1 binary64))))) #<representation binary64>) () ()) |
#s(alt (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (- 1 x) #s(literal 1 binary64)))) (patch (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (- 1 x) #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (- 1 x) #s(literal 1 binary64))) (patch #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (- 1 x) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (- 1 x) #s(literal 1 binary64)) (patch #s(approx (- 1 x) #s(literal 1 binary64)) #<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 #s(approx (+ (* (+ (* -1/3 x) -1/2) x) -1) (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) x)) (patch #s(approx (+ (* (+ (* -1/3 x) -1/2) x) -1) (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) (patch (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
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#s(alt (* (pow x 2) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/3)) (taylor -inf x) (#s(alt #s(approx (+ (* (+ (* -1/3 x) -1/2) x) -1) (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) x)) (patch #s(approx (+ (* (+ (* -1/3 x) -1/2) x) -1) (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/3 x) (taylor -inf x) (#s(alt (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) (patch (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ 1/3 (* 1/2 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) (patch (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ 1/3 (* 1/2 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) (patch (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ 1/3 (* 1/2 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) (patch (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | -inf | ((- 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 (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))) (* (+ (* (+ (* -1/3 x) -1/2) x) -1) x) (- 1 (log (- 1 (/ (- x y) (- 1 y))))) (log (- 1 (/ (- x y) (- 1 y)))) (- 1 (/ (- x y) (- 1 y))) (- 1 x) (- 1 (log (- 1 (/ (- x y) (- 1 y))))) (log (- 1 (/ (- x y) (- 1 y)))) (- 1 (/ (- x y) (- 1 y))) (/ (- x 1) y) (+ (* (+ (* -1/3 x) -1/2) x) -1) (+ (* -1/3 x) -1/2)) |
| 2.0ms | y | @ | 0 | ((- 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 (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))) (* (+ (* (+ (* -1/3 x) -1/2) x) -1) x) (- 1 (log (- 1 (/ (- x y) (- 1 y))))) (log (- 1 (/ (- x y) (- 1 y)))) (- 1 (/ (- x y) (- 1 y))) (- 1 x) (- 1 (log (- 1 (/ (- x y) (- 1 y))))) (log (- 1 (/ (- x y) (- 1 y)))) (- 1 (/ (- x y) (- 1 y))) (/ (- x 1) y) (+ (* (+ (* -1/3 x) -1/2) x) -1) (+ (* -1/3 x) -1/2)) |
| 2.0ms | y | @ | -inf | ((- 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 (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))) (* (+ (* (+ (* -1/3 x) -1/2) x) -1) x) (- 1 (log (- 1 (/ (- x y) (- 1 y))))) (log (- 1 (/ (- x y) (- 1 y)))) (- 1 (/ (- x y) (- 1 y))) (- 1 x) (- 1 (log (- 1 (/ (- x y) (- 1 y))))) (log (- 1 (/ (- x y) (- 1 y)))) (- 1 (/ (- x y) (- 1 y))) (/ (- x 1) y) (+ (* (+ (* -1/3 x) -1/2) x) -1) (+ (* -1/3 x) -1/2)) |
| 2.0ms | y | @ | inf | ((- 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 (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))) (* (+ (* (+ (* -1/3 x) -1/2) x) -1) x) (- 1 (log (- 1 (/ (- x y) (- 1 y))))) (log (- 1 (/ (- x y) (- 1 y)))) (- 1 (/ (- x y) (- 1 y))) (- 1 x) (- 1 (log (- 1 (/ (- x y) (- 1 y))))) (log (- 1 (/ (- x y) (- 1 y)))) (- 1 (/ (- x y) (- 1 y))) (/ (- x 1) y) (+ (* (+ (* -1/3 x) -1/2) x) -1) (+ (* -1/3 x) -1/2)) |
| 1.0ms | x | @ | inf | ((- 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 (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))) (* (+ (* (+ (* -1/3 x) -1/2) x) -1) x) (- 1 (log (- 1 (/ (- x y) (- 1 y))))) (log (- 1 (/ (- x y) (- 1 y)))) (- 1 (/ (- x y) (- 1 y))) (- 1 x) (- 1 (log (- 1 (/ (- x y) (- 1 y))))) (log (- 1 (/ (- x y) (- 1 y)))) (- 1 (/ (- x y) (- 1 y))) (/ (- x 1) y) (+ (* (+ (* -1/3 x) -1/2) x) -1) (+ (* -1/3 x) -1/2)) |
| 1× | egg-herbie |
| 7 602× | lower-fma.f64 |
| 7 602× | lower-fma.f32 |
| 3 860× | lower-+.f64 |
| 3 860× | lower-+.f32 |
| 3 428× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 529 | 12213 |
| 1 | 1686 | 9273 |
| 2 | 5757 | 8175 |
| 0 | 8590 | 7722 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- 1 (log (- 1 x))) |
(- (+ 1 (* -1 (* y (+ (* -1 (/ x (- 1 x))) (/ 1 (- 1 x)))))) (log (- 1 x))) |
(- (+ 1 (* y (- (* -1/2 (* y (+ (* -1 (/ (pow (+ 1 (* -1 x)) 2) (pow (- 1 x) 2))) (* 2 (/ (+ 1 (* -1 x)) (- 1 x)))))) (+ (* -1 (/ x (- 1 x))) (/ 1 (- 1 x)))))) (log (- 1 x))) |
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(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)))))) |
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(- 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)) |
(- 1 (log (- 1 x))) |
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(log (- 1 x)) |
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(log (- 1 x)) |
(+ y (log (- 1 x))) |
(+ y (log (- 1 x))) |
(+ y (log (- 1 x))) |
(* -1 x) |
(- y x) |
(- y x) |
(- y x) |
(- 1 (log (- 1 x))) |
(- (+ 1 (* -1 (* y (+ (* -1 (/ x (- 1 x))) (/ 1 (- 1 x)))))) (log (- 1 x))) |
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(- 1 (log (- 1 x))) |
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(- (+ 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))) |
(log (- 1 x)) |
(+ (log (- 1 x)) (* y (+ (* -1 (/ x (- 1 x))) (/ 1 (- 1 x))))) |
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(- 1 x) |
(- (+ 1 (* y (+ 1 (* -1 x)))) x) |
(- (+ 1 (* y (+ 1 (+ (* -1 x) (* y (+ 1 (* -1 x))))))) x) |
(- (+ 1 (* y (+ 1 (+ (* -1 x) (* y (+ 1 (+ (* -1 x) (* y (+ 1 (* -1 x)))))))))) x) |
(- 1 (log (- 1 x))) |
(- (+ 1 (* -1 (* y (+ (* -1 (/ x (- 1 x))) (/ 1 (- 1 x)))))) (log (- 1 x))) |
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(- 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) y) |
(/ (- x 1) y) |
(/ (- x 1) y) |
(/ (- x 1) 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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(* -1 (/ (+ 1 (* -1 x)) y)) |
(/ (- (/ x y) (+ 1 (+ (* -1 x) (/ 1 y)))) y) |
(/ (- (+ (/ x y) (/ x (pow y 2))) (+ 1 (+ (* -1 x) (+ (/ 1 y) (/ 1 (pow y 2)))))) y) |
(/ (- (+ (/ x y) (+ (/ x (pow y 2)) (/ x (pow y 3)))) (+ 1 (+ (* -1 x) (+ (/ 1 y) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3))))))) y) |
(/ (- x 1) y) |
(/ (- (+ x (/ x y)) (+ 1 (/ 1 y))) y) |
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(/ (- (+ x (/ x y)) (+ 1 (/ 1 y))) y) |
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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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| Outputs |
|---|
(- 1 (log (- 1 x))) |
(-.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x))) |
(- (+ 1 (* -1 (* y (+ (* -1 (/ x (- 1 x))) (/ 1 (- 1 x)))))) (log (- 1 x))) |
(-.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 x))) |
(- (+ 1 (* y (- (* -1/2 (* y (+ (* -1 (/ (pow (+ 1 (* -1 x)) 2) (pow (- 1 x) 2))) (* 2 (/ (+ 1 (* -1 x)) (- 1 x)))))) (+ (* -1 (/ x (- 1 x))) (/ 1 (- 1 x)))))) (log (- 1 x))) |
(-.f64 (fma.f64 (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 #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))) |
(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)))))) |
(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 x) |
(-.f64 #s(literal 1 binary64) x) |
(- (+ 1 (* y (+ 1 (* -1 x)))) x) |
(*.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) |
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(fma.f64 (/.f64 (+.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) x) x (/.f64 x (+.f64 y #s(literal -1 binary64)))) |
(* -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 y #s(literal -1 binary64)))) |
(/ x y) |
(/.f64 x y) |
(* -1 (* x (- (/ 1 (* x y)) (/ 1 y)))) |
(fma.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) x (/.f64 x y)) |
(* -1 (* x (- (/ 1 (* x y)) (/ 1 y)))) |
(fma.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) x (/.f64 x y)) |
(* -1 (* x (- (/ 1 (* x y)) (/ 1 y)))) |
(fma.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) x (/.f64 x y)) |
(* -1/3 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/3 binary64)) |
(* -1 (* (pow x 2) (+ 1/3 (* 1/2 (/ 1 x))))) |
(*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) x) |
(* (pow x 2) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/3)) |
(*.f64 (*.f64 (-.f64 #s(literal -1/3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) x) x) |
(* (pow x 2) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/3)) |
(*.f64 (*.f64 (-.f64 #s(literal -1/3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) x) x) |
(* -1/3 x) |
(*.f64 #s(literal -1/3 binary64) x) |
(* -1 (* x (+ 1/3 (* 1/2 (/ 1 x))))) |
(fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) |
(* -1 (* x (+ 1/3 (* 1/2 (/ 1 x))))) |
(fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) |
(* -1 (* x (+ 1/3 (* 1/2 (/ 1 x))))) |
(fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) |
| 5 570× | lower-*.f32 |
| 5 566× | lower-*.f64 |
| 4 038× | lower-/.f32 |
| 4 032× | lower-/.f64 |
| 3 062× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 49 | 399 |
| 0 | 66 | 393 |
| 1 | 307 | 393 |
| 2 | 2538 | 393 |
| 0 | 8806 | 378 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 (-.f64 x (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) #s(literal 1 binary64)) y)))) |
(log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 (-.f64 x (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) #s(literal 1 binary64)) y))) |
#s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 (-.f64 x (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) #s(literal 1 binary64)) y)) |
(/.f64 (-.f64 (-.f64 x (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) #s(literal 1 binary64)) 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(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 #s(approx (+ (* (+ (* -1/3 x) -1/2) x) -1) (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) x)) x)))) |
#s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (*.f64 #s(approx (+ (* (+ (* -1/3 x) -1/2) x) -1) (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) x)) x))) |
#s(approx (log (+ 1 (neg x))) (*.f64 #s(approx (+ (* (+ (* -1/3 x) -1/2) x) -1) (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) x)) x)) |
(*.f64 #s(approx (+ (* (+ (* -1/3 x) -1/2) x) -1) (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) x)) x) |
(-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (- 1 x) #s(literal 1 binary64))))) |
(log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (- 1 x) #s(literal 1 binary64)))) |
#s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (- 1 x) #s(literal 1 binary64))) |
#s(approx (- 1 x) #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))))) |
(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)) |
#s(approx (+ (* (+ (* -1/3 x) -1/2) x) -1) (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) x)) |
(fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) |
| Outputs |
|---|
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 (-.f64 x (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) #s(literal 1 binary64)) y))) #s(literal 2 binary64))) (pow.f64 (+.f64 (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 (-.f64 x (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) #s(literal 1 binary64)) y))) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 (-.f64 x (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) #s(literal 1 binary64)) y))) #s(literal 3 binary64))) (pow.f64 (fma.f64 (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 (-.f64 x (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) #s(literal 1 binary64)) y))) (+.f64 (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 (-.f64 x (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) #s(literal 1 binary64)) y))) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (+.f64 (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 (-.f64 x (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) #s(literal 1 binary64)) y))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 (-.f64 x (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) #s(literal 1 binary64)) y))) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 (-.f64 x (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) #s(literal 1 binary64)) y))) (+.f64 (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 (-.f64 x (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) #s(literal 1 binary64)) y))) #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 (-.f64 x (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) #s(literal 1 binary64)) y))) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 (-.f64 x (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) #s(literal 1 binary64)) y))) #s(literal 1 binary64))) (*.f64 (+.f64 (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 (-.f64 x (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) #s(literal 1 binary64)) y))) #s(literal 1 binary64)) (pow.f64 (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 (-.f64 x (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) #s(literal 1 binary64)) y))) #s(literal 2 binary64)))) (*.f64 (+.f64 (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 (-.f64 x (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) #s(literal 1 binary64)) y))) #s(literal 1 binary64)) (+.f64 (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 (-.f64 x (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) #s(literal 1 binary64)) y))) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 (-.f64 x (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) #s(literal 1 binary64)) y))) (+.f64 (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 (-.f64 x (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) #s(literal 1 binary64)) y))) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 (-.f64 x (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) #s(literal 1 binary64)) y))) (+.f64 (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 (-.f64 x (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) #s(literal 1 binary64)) y))) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 (-.f64 x (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) #s(literal 1 binary64)) y))) #s(literal 3 binary64)))) (*.f64 (fma.f64 (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 (-.f64 x (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) #s(literal 1 binary64)) y))) (+.f64 (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 (-.f64 x (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) #s(literal 1 binary64)) y))) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 (-.f64 x (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) #s(literal 1 binary64)) y))) (+.f64 (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 (-.f64 x (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) #s(literal 1 binary64)) y))) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 (-.f64 x (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) #s(literal 1 binary64)) y))) #s(literal 2 binary64)))) (neg.f64 (+.f64 (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 (-.f64 x (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) #s(literal 1 binary64)) y))) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 (-.f64 x (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) #s(literal 1 binary64)) y))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 (-.f64 x (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) #s(literal 1 binary64)) y))) (+.f64 (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 (-.f64 x (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) #s(literal 1 binary64)) y))) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 (-.f64 x (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) #s(literal 1 binary64)) y))) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (neg.f64 (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 (-.f64 x (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) #s(literal 1 binary64)) y)))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 (-.f64 x (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) #s(literal 1 binary64)) y))) #s(literal 2 binary64))) (+.f64 (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 (-.f64 x (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) #s(literal 1 binary64)) y))) #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 (-.f64 x (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) #s(literal 1 binary64)) y))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 (-.f64 x (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) #s(literal 1 binary64)) y))) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (neg.f64 (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 (-.f64 x (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) #s(literal 1 binary64)) y)))))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 (-.f64 x (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) #s(literal 1 binary64)) y))) #s(literal 3 binary64))) (fma.f64 (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 (-.f64 x (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) #s(literal 1 binary64)) y))) (+.f64 (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 (-.f64 x (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) #s(literal 1 binary64)) y))) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 (-.f64 x (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) #s(literal 1 binary64)) y))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 (-.f64 x (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) #s(literal 1 binary64)) y))) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 (-.f64 x (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) #s(literal 1 binary64)) y))) (+.f64 (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 (-.f64 x (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) #s(literal 1 binary64)) y))) #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 (-.f64 x (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) #s(literal 1 binary64)) y))) #s(literal 3 binary64))))) |
(fma.f64 #s(literal -1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 (-.f64 x (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) #s(literal 1 binary64)) y))) #s(literal 1 binary64)) |
(-.f64 (pow.f64 (+.f64 (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 (-.f64 x (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) #s(literal 1 binary64)) y))) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 (-.f64 x (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) #s(literal 1 binary64)) y))) #s(literal 2 binary64)) (+.f64 (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 (-.f64 x (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) #s(literal 1 binary64)) y))) #s(literal 1 binary64)))) |
(-.f64 (pow.f64 (fma.f64 (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 (-.f64 x (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) #s(literal 1 binary64)) y))) (+.f64 (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 (-.f64 x (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) #s(literal 1 binary64)) 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 (-.f64 (-.f64 x (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) #s(literal 1 binary64)) y))) #s(literal 3 binary64)) (fma.f64 (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 (-.f64 x (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) #s(literal 1 binary64)) y))) (+.f64 (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 (-.f64 x (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) #s(literal 1 binary64)) y))) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 (-.f64 x (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) #s(literal 1 binary64)) y)))) |
(+.f64 (neg.f64 (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 (-.f64 x (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) #s(literal 1 binary64)) y)))) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (neg.f64 (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 (-.f64 x (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) #s(literal 1 binary64)) y))))) |
(*.f64 (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 (-.f64 x (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) #s(literal 1 binary64)) y))) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 (-.f64 x (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) #s(literal 1 binary64)) y)))) |
(log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 (-.f64 x (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) #s(literal 1 binary64)) y))) |
#s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 (-.f64 x (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) #s(literal 1 binary64)) y)) |
(*.f64 (pow.f64 (/.f64 y (-.f64 (pow.f64 (-.f64 x (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (+.f64 (-.f64 x (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 y (-.f64 (pow.f64 (-.f64 x (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (+.f64 (+.f64 (pow.f64 (-.f64 x (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 x (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 (-.f64 x (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (-.f64 (-.f64 x (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) #s(literal 1 binary64))) |
(*.f64 (neg.f64 (-.f64 (-.f64 x (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) #s(literal 1 binary64))) (pow.f64 (neg.f64 y) #s(literal -1 binary64))) |
(*.f64 (-.f64 (-.f64 x (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) #s(literal 1 binary64)) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 x (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) #s(literal 1 binary64)) y)) |
(pow.f64 (/.f64 (/.f64 y (-.f64 (-.f64 x (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
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(/.f64 (fma.f64 #s(literal 1/9 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/2 binary64))) |
(/.f64 (fma.f64 #s(literal -1/27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (*.f64 #s(literal -1/3 binary64) x) #s(literal 2 binary64)) (*.f64 x #s(literal 1/6 binary64))))) |
(/.f64 (fma.f64 #s(literal -1/27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1/8 binary64)) (fma.f64 #s(literal 1/9 binary64) (*.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal 1/6 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/9 binary64) (*.f64 x x) #s(literal -1/4 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/9 binary64) (*.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal 1/6 binary64)))) (fma.f64 #s(literal -1/27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1/8 binary64)))) |
(fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) |
(fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64)) |
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal -1/3 binary64) x) #s(literal 2 binary64)) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/2 binary64)))) |
(+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -1/3 binary64) x)) |
(+.f64 (*.f64 #s(literal -1/3 binary64) x) #s(literal -1/2 binary64)) |
Compiled 15 040 to 1 599 computations (89.4% saved)
25 alts after pruning (13 fresh and 12 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 694 | 3 | 697 |
| Fresh | 1 | 10 | 11 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 8 | 8 |
| Total | 696 | 25 | 721 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 43.0% | (-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 (-.f64 x (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) #s(literal 1 binary64)) y)))) |
| 21.1% | (-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 (*.f64 y x) y) (*.f64 y y))))) | |
| ✓ | 43.6% | (-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 x #s(literal 1 binary64)) y)))) |
| ✓ | 47.4% | (-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 x (+.f64 #s(literal -1 binary64) y))))) |
| 19.8% | (-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ (- (- x (/ (- 1 x) y)) 1) y) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)) y))))) | |
| ✓ | 26.5% | (-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ (- x 1) y) (/.f64 x y))))) |
| 21.8% | (-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ (- x 1) y) (/.f64 #s(literal -1 binary64) y))))) | |
| 22.4% | (-.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)))))) | |
| ✓ | 25.3% | (-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ x (+ -1 y)) (neg.f64 x))))) |
| ✓ | 40.3% | (-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (- 1 x) #s(literal 1 binary64))))) |
| ✓ | 57.3% | (-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (+.f64 y (log1p.f64 (neg.f64 x))))) |
| ✓ | 37.7% | (-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y))))) |
| ✓ | 59.8% | (-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 (neg.f64 x)))) |
| 38.1% | (-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 #s(approx (/ y (- 1 y)) (fma.f64 y y y))))) | |
| 38.7% | (-.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 y x) (*.f64 (+.f64 y x) (-.f64 y x))))))) | |
| ✓ | 38.9% | (-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (+ y (log (+ 1 (neg x)))) (-.f64 y x)))) |
| 38.8% | (-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (+ y (log (+ 1 (neg x)))) #s(approx (- y x) (fma.f64 (/.f64 (neg.f64 x) y) y y))))) | |
| 37.4% | (-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (/ y (- 1 y)))) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 1/3 binary64) y #s(literal 1/2 binary64)) y)))) | |
| 36.9% | (-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (/ y (- 1 y)))) (*.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y)))) | |
| 40.4% | (-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x))))) | |
| 39.5% | (-.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)))) | |
| ✓ | 40.1% | (-.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)))) |
| 39.6% | (-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (*.f64 (fma.f64 #s(approx (+ (* -1/3 x) -1/2) #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)))) | |
| 38.9% | (-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (*.f64 #s(approx (+ (* (+ (* -1/3 x) -1/2) x) -1) (*.f64 #s(approx (+ (* -1/3 x) -1/2) #s(literal -1/2 binary64)) x)) x)))) | |
| ✓ | 40.5% | (-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (neg.f64 x)))) |
Compiled 598 to 420 computations (29.8% 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 #s(approx (+ (* (+ (* -1/3 x) -1/2) x) -1) (*.f64 #s(approx (+ (* -1/3 x) -1/2) #s(literal -1/2 binary64)) x)) 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 #s(approx (+ (* -1/3 x) -1/2) #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 (/ y (- 1 y)))) (*.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y)))) |
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (*.f64 #s(approx (+ (* (+ (* -1/3 x) -1/2) x) -1) (*.f64 (*.f64 x x) #s(literal -1/3 binary64))) x)))) |
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (*.f64 #s(approx (+ (* (+ (* -1/3 x) -1/2) x) -1) (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) 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 #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 (/ y (- 1 y)))) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 1/3 binary64) y #s(literal 1/2 binary64)) y)))) |
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (+ y (log (+ 1 (neg x)))) #s(approx (- y x) (fma.f64 (/.f64 (neg.f64 x) y) y y))))) |
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 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 y x) (*.f64 (+.f64 y x) (-.f64 y x))))))) |
(-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (- 1 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))) #s(approx (/ x (+ -1 y)) (neg.f64 x))))) |
(-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (-.f64 #s(literal 1 binary64) 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)))) (log1p.f64 #s(approx (/ y (- 1 y)) (fma.f64 y y y))))) |
(-.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 x y))))) |
(-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ (- x 1) y) (/.f64 #s(literal -1 binary64) 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 (/.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 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 (*.f64 y x) y) (*.f64 y y))))) |
(-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ (- (- x (/ (- 1 x) y)) 1) y) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)) y))))) |
(-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 (-.f64 x (/.f64 #s(approx (- 1 x) #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)))) |
| 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 (-.f64 x (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) #s(literal 1 binary64)) y)))) |
6 calls:
| 112.0ms | (-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) |
| 96.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| 10.0ms | y |
| 9.0ms | x |
| 8.0ms | (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 83.2% | 3 | x |
| 100.0% | 3 | y |
| 100.0% | 2 | (-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) |
| 100.0% | 2 | (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))) |
| 100.0% | 2 | (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) |
| 100.0% | 2 | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
Compiled 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 #s(approx (+ (* (+ (* -1/3 x) -1/2) x) -1) (*.f64 #s(approx (+ (* -1/3 x) -1/2) #s(literal -1/2 binary64)) x)) 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 #s(approx (+ (* -1/3 x) -1/2) #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 (/ y (- 1 y)))) (*.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y)))) |
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (*.f64 #s(approx (+ (* (+ (* -1/3 x) -1/2) x) -1) (*.f64 (*.f64 x x) #s(literal -1/3 binary64))) x)))) |
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (*.f64 #s(approx (+ (* (+ (* -1/3 x) -1/2) x) -1) (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) 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 #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 (/ y (- 1 y)))) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 1/3 binary64) y #s(literal 1/2 binary64)) y)))) |
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (+ y (log (+ 1 (neg x)))) #s(approx (- y x) (fma.f64 (/.f64 (neg.f64 x) y) y y))))) |
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 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 y x) (*.f64 (+.f64 y x) (-.f64 y x))))))) |
(-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (- 1 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))) #s(approx (/ x (+ -1 y)) (neg.f64 x))))) |
(-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (-.f64 #s(literal 1 binary64) 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)))) (log1p.f64 #s(approx (/ y (- 1 y)) (fma.f64 y y y))))) |
(-.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 x y))))) |
(-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ (- x 1) y) (/.f64 #s(literal -1 binary64) 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 (/.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 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 (*.f64 y x) y) (*.f64 y y))))) |
(-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ (- (- x (/ (- 1 x) y)) 1) y) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)) 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:
| 27.0ms | (-.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 | (-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) |
| 8.0ms | (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 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 #s(approx (+ (* (+ (* -1/3 x) -1/2) x) -1) (*.f64 #s(approx (+ (* -1/3 x) -1/2) #s(literal -1/2 binary64)) x)) 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 #s(approx (+ (* -1/3 x) -1/2) #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 (/ y (- 1 y)))) (*.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y)))) |
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (*.f64 #s(approx (+ (* (+ (* -1/3 x) -1/2) x) -1) (*.f64 (*.f64 x x) #s(literal -1/3 binary64))) x)))) |
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (*.f64 #s(approx (+ (* (+ (* -1/3 x) -1/2) x) -1) (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) 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 #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 (/ y (- 1 y)))) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 1/3 binary64) y #s(literal 1/2 binary64)) y)))) |
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (+ y (log (+ 1 (neg x)))) #s(approx (- y x) (fma.f64 (/.f64 (neg.f64 x) y) y y))))) |
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 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 y x) (*.f64 (+.f64 y x) (-.f64 y x))))))) |
(-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (- 1 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))) #s(approx (/ x (+ -1 y)) (neg.f64 x))))) |
(-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (-.f64 #s(literal 1 binary64) 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)))) (log1p.f64 #s(approx (/ y (- 1 y)) (fma.f64 y y y))))) |
(-.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 x y))))) |
(-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ (- x 1) y) (/.f64 #s(literal -1 binary64) 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 (/.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:
| 43.0ms | (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))) |
| 8.0ms | y |
| 8.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| 8.0ms | (-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) |
| 7.0ms | (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.9% | 3 | y |
| 99.2% | 3 | (-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) |
| 99.2% | 3 | (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))) |
| 99.2% | 3 | (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) |
| 99.2% | 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 #s(approx (+ (* (+ (* -1/3 x) -1/2) x) -1) (*.f64 #s(approx (+ (* -1/3 x) -1/2) #s(literal -1/2 binary64)) x)) 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 #s(approx (+ (* -1/3 x) -1/2) #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 (/ y (- 1 y)))) (*.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y)))) |
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (*.f64 #s(approx (+ (* (+ (* -1/3 x) -1/2) x) -1) (*.f64 (*.f64 x x) #s(literal -1/3 binary64))) x)))) |
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (*.f64 #s(approx (+ (* (+ (* -1/3 x) -1/2) x) -1) (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) 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 #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 (/ y (- 1 y)))) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 1/3 binary64) y #s(literal 1/2 binary64)) y)))) |
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (+ y (log (+ 1 (neg x)))) #s(approx (- y x) (fma.f64 (/.f64 (neg.f64 x) y) y y))))) |
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 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 y x) (*.f64 (+.f64 y x) (-.f64 y x))))))) |
(-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (- 1 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))) #s(approx (/ x (+ -1 y)) (neg.f64 x))))) |
(-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (-.f64 #s(literal 1 binary64) 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)))) (log1p.f64 #s(approx (/ y (- 1 y)) (fma.f64 y y y))))) |
(-.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 x y))))) |
(-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ (- x 1) y) (/.f64 #s(literal -1 binary64) 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 (/.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)))) (+.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 #s(literal -1 binary64) y))))) |
5 calls:
| 14.0ms | (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) |
| 9.0ms | (-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) |
| 8.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| 8.0ms | y |
| 7.0ms | (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 85.5% | 3 | y |
| 88.9% | 3 | (-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) |
| 88.9% | 3 | (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))) |
| 88.9% | 3 | (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) |
| 88.9% | 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 #s(approx (+ (* (+ (* -1/3 x) -1/2) x) -1) (*.f64 #s(approx (+ (* -1/3 x) -1/2) #s(literal -1/2 binary64)) x)) 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 #s(approx (+ (* -1/3 x) -1/2) #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 (/ y (- 1 y)))) (*.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y)))) |
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (*.f64 #s(approx (+ (* (+ (* -1/3 x) -1/2) x) -1) (*.f64 (*.f64 x x) #s(literal -1/3 binary64))) x)))) |
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (*.f64 #s(approx (+ (* (+ (* -1/3 x) -1/2) x) -1) (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) 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 #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 (/ y (- 1 y)))) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 1/3 binary64) y #s(literal 1/2 binary64)) y)))) |
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (+ y (log (+ 1 (neg x)))) #s(approx (- y x) (fma.f64 (/.f64 (neg.f64 x) y) y y))))) |
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 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 y x) (*.f64 (+.f64 y x) (-.f64 y x))))))) |
(-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (- 1 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))) #s(approx (/ x (+ -1 y)) (neg.f64 x))))) |
(-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (-.f64 #s(literal 1 binary64) 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)))) (log1p.f64 #s(approx (/ y (- 1 y)) (fma.f64 y y y))))) |
(-.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 x y))))) |
(-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ (- x 1) y) (/.f64 #s(literal -1 binary64) 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 (/.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 #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))) #s(approx (/ x (+ -1 y)) (/.f64 x y))))) |
5 calls:
| 61.0ms | y |
| 9.0ms | (-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) |
| 8.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| 7.0ms | (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) |
| 7.0ms | (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 84.8% | 3 | y |
| 76.7% | 2 | (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))) |
| 76.7% | 2 | (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) |
| 76.7% | 2 | (-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) |
| 76.7% | 2 | (/.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 #s(approx (+ (* (+ (* -1/3 x) -1/2) x) -1) (*.f64 #s(approx (+ (* -1/3 x) -1/2) #s(literal -1/2 binary64)) x)) 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 #s(approx (+ (* -1/3 x) -1/2) #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 (/ y (- 1 y)))) (*.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y)))) |
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (*.f64 #s(approx (+ (* (+ (* -1/3 x) -1/2) x) -1) (*.f64 (*.f64 x x) #s(literal -1/3 binary64))) x)))) |
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (*.f64 #s(approx (+ (* (+ (* -1/3 x) -1/2) x) -1) (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) 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 #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 (/ y (- 1 y)))) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 1/3 binary64) y #s(literal 1/2 binary64)) y)))) |
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (+ y (log (+ 1 (neg x)))) #s(approx (- y x) (fma.f64 (/.f64 (neg.f64 x) y) y y))))) |
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 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 y x) (*.f64 (+.f64 y x) (-.f64 y x))))))) |
(-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (- 1 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))) #s(approx (/ x (+ -1 y)) (neg.f64 x))))) |
(-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (-.f64 #s(literal 1 binary64) 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)))) (log1p.f64 #s(approx (/ y (- 1 y)) (fma.f64 y y y))))) |
(-.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 x 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))))) |
2 calls:
| 7.0ms | y |
| 7.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 69.0% | 2 | x |
| 80.4% | 3 | y |
Compiled 2 to 4 computations (-100% 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 #s(approx (+ (* (+ (* -1/3 x) -1/2) x) -1) (*.f64 #s(approx (+ (* -1/3 x) -1/2) #s(literal -1/2 binary64)) x)) 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 #s(approx (+ (* -1/3 x) -1/2) #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 (/ y (- 1 y)))) (*.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y)))) |
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (*.f64 #s(approx (+ (* (+ (* -1/3 x) -1/2) x) -1) (*.f64 (*.f64 x x) #s(literal -1/3 binary64))) x)))) |
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (*.f64 #s(approx (+ (* (+ (* -1/3 x) -1/2) x) -1) (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) 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 #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 (/ y (- 1 y)))) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 1/3 binary64) y #s(literal 1/2 binary64)) y)))) |
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (+ y (log (+ 1 (neg x)))) #s(approx (- y x) (fma.f64 (/.f64 (neg.f64 x) y) y y))))) |
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 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 y x) (*.f64 (+.f64 y x) (-.f64 y x))))))) |
(-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (- 1 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))) #s(approx (/ x (+ -1 y)) (neg.f64 x))))) |
(-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (-.f64 #s(literal 1 binary64) 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)))) (log1p.f64 #s(approx (/ y (- 1 y)) (fma.f64 y y y))))) |
(-.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)))))) |
| Outputs |
|---|
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 (neg.f64 x)))) |
6 calls:
| 8.0ms | x |
| 7.0ms | (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))) |
| 7.0ms | y |
| 7.0ms | (/.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))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 59.8% | 1 | x |
| 59.8% | 1 | (-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) |
| 59.8% | 1 | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| 59.8% | 1 | (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))) |
| 59.8% | 1 | (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) |
| 59.8% | 1 | y |
Compiled 40 to 34 computations (15% saved)
Total -2.9b remaining (-7.7%)
Threshold costs -2.9b (-7.7%)
| 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 #s(approx (+ (* (+ (* -1/3 x) -1/2) x) -1) (*.f64 #s(approx (+ (* -1/3 x) -1/2) #s(literal -1/2 binary64)) x)) 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 #s(approx (+ (* -1/3 x) -1/2) #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 (/ y (- 1 y)))) (*.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y)))) |
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (*.f64 #s(approx (+ (* (+ (* -1/3 x) -1/2) x) -1) (*.f64 (*.f64 x x) #s(literal -1/3 binary64))) x)))) |
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (*.f64 #s(approx (+ (* (+ (* -1/3 x) -1/2) x) -1) (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) 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 #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 (/ y (- 1 y)))) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 1/3 binary64) y #s(literal 1/2 binary64)) y)))) |
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (+ y (log (+ 1 (neg x)))) #s(approx (- y x) (fma.f64 (/.f64 (neg.f64 x) y) y y))))) |
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 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 y x) (*.f64 (+.f64 y x) (-.f64 y x))))))) |
(-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (- 1 x) #s(literal 1 binary64))))) |
| 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:
| 14.0ms | x |
| 5.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| 5.0ms | y |
| 5.0ms | (-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) |
| 4.0ms | (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 40.5% | 1 | (-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) |
| 40.5% | 1 | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| 40.5% | 1 | x |
| 40.5% | 1 | (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))) |
| 40.5% | 1 | (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) |
| 40.5% | 1 | y |
Compiled 40 to 34 computations (15% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.8924668443206378 | 0.9999999954603395 |
Compiled 15 to 15 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.8924668443206378 | 0.9999999954603395 |
Compiled 15 to 15 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 6.003425850052038e-6 | 0.8924668443206378 |
| 0.0ms | -275589.163527056 | -2.8570773397843312e-5 |
Compiled 15 to 15 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 6.003425850052038e-6 | 0.8924668443206378 |
| 0.0ms | -275589.163527056 | -2.8570773397843312e-5 |
Compiled 15 to 15 computations (0% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 360.0ms | 0.5869391944288874 | 62.303756345157936 |
| 31.0ms | -8.299457396951672 | -2.1202327375452035e-6 |
| 308.0ms | 256× | 0 | valid |
| 40.0ms | 652× | 0 | invalid |
Compiled 271 to 311 computations (-14.8% saved)
ival-sub: 311.0ms (95.3% of total)ival-div: 7.0ms (2.1% of total)ival-log: 7.0ms (2.1% of total)ival-true: 1.0ms (0.3% of total)exact: 1.0ms (0.3% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 0.5869391944288874 | 62.303756345157936 |
| 18.0ms | -7388.266748994317 | -8.299457396951672 |
| 8.0ms | 128× | 0 | valid |
| 1.0ms | 12× | 0 | invalid |
Compiled 255 to 284 computations (-11.4% saved)
ival-sub: 3.0ms (52.3% of total)ival-log: 2.0ms (34.9% of total)ival-div: 1.0ms (17.4% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 260× | unsub-neg-binary64--.f64-neg.f64-+.f64 |
| 150× | neg-mul-1-binary64-*.f64-neg.f64 |
| 126× | distribute-lft-neg-in-binary64-*.f64-neg.f64 |
| 100× | sub-neg-binary64-neg.f64-+.f64--.f64 |
| 90× | +-commutative-binary64-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 81 | 417 |
| 1 | 116 | 417 |
| 2 | 166 | 417 |
| 3 | 209 | 417 |
| 4 | 242 | 417 |
| 5 | 282 | 417 |
| 6 | 329 | 417 |
| 7 | 458 | 417 |
| 8 | 612 | 417 |
| 9 | 675 | 417 |
| 10 | 715 | 417 |
| 11 | 745 | 417 |
| 12 | 758 | 417 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 8106479329266893/9007199254740992 binary64)) (-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) (-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 (-.f64 x (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) #s(literal 1 binary64)) y))))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 8106479329266893/9007199254740992 binary64)) (-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) (-.f64 #s(literal 1 binary64) (log.f64 #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 -200000 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 5902958103587057/590295810358705651712 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 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal -200000 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 5902958103587057/590295810358705651712 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 #s(literal -1 binary64) y))))))) |
(if (<=.f64 y #s(literal -3602879701896397/562949953421312 binary64)) (-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ (- x 1) y) (/.f64 #s(literal -1 binary64) 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 -118 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 8106479329266893/9007199254740992 binary64)) (-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) (-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 (-.f64 x (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) #s(literal 1 binary64)) y))))) |
(if (<=.f64 (/.f64 (-.f64 y x) (+.f64 #s(literal -1 binary64) y)) #s(literal 8106479329266893/9007199254740992 binary64)) (-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 y 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 #s(approx (- 1 x) #s(literal 1 binary64)) y)) #s(literal 1 binary64)) y))))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 8106479329266893/9007199254740992 binary64)) (-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) (-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 x #s(literal 1 binary64)) y))))) |
(if (<=.f64 (/.f64 (-.f64 y x) (+.f64 #s(literal -1 binary64) y)) #s(literal 8106479329266893/9007199254740992 binary64)) (-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 y 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))))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal -200000 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 5902958103587057/590295810358705651712 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 #s(literal -1 binary64) y)) #s(literal -200000 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 y x) (+.f64 #s(literal -1 binary64) y)) #s(literal 5902958103587057/590295810358705651712 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 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal -200000 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 5902958103587057/590295810358705651712 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 #s(literal -1 binary64) y))))))) |
(if (<=.f64 (/.f64 (-.f64 y x) (+.f64 #s(literal -1 binary64) y)) #s(literal -200000 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 y x) (+.f64 #s(literal -1 binary64) y)) #s(literal 5902958103587057/590295810358705651712 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 #s(literal -1 binary64) y))))))) |
(if (<=.f64 y #s(literal -3602879701896397/562949953421312 binary64)) (-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ (- x 1) y) (/.f64 #s(literal -1 binary64) 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 -3602879701896397/562949953421312 binary64)) (-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ (- x 1) y) (/.f64 #s(literal -1 binary64) 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))))))) |
(if (<=.f64 y #s(literal -118 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 -118 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)))) |
| 7 846× | lower-fma.f64 |
| 7 846× | lower-fma.f32 |
| 6 808× | lower-fma.f64 |
| 6 808× | lower-fma.f32 |
| 6 758× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 439 | 2658 |
| 1 | 1420 | 2052 |
| 2 | 4942 | 1821 |
| 0 | 8665 | 1728 |
| 0 | 557 | 11665 |
| 1 | 1765 | 8794 |
| 2 | 5827 | 7720 |
| 0 | 8492 | 7279 |
| 0 | 533 | 12032 |
| 1 | 1686 | 9081 |
| 2 | 5568 | 7984 |
| 0 | 8453 | 7557 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 321 to 169 computations (47.4% saved)
Compiled 598 to 200 computations (66.6% saved)
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