
Time bar (total: 3.6s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 2 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 3 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 4 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 5 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 6 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 7 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 8 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 9 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 10 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 11 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 11 to 8 computations (27.3% saved)
| 794.0ms | 8 256× | 0 | valid |
| 246.0ms | 2 750× | 1 | exit |
ival-exp: 126.0ms (27.8% of total)ival-log1p: 112.0ms (24.7% of total)ival-sub!: 97.0ms (21.4% of total)ival-mult!: 69.0ms (15.2% of total)adjust: 50.0ms (11% of total)Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 59 |
| 1 | 88 | 58 |
| 2 | 268 | 58 |
| 3 | 1043 | 58 |
| 1× | node-limit |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) |
Compiled 16 to 16 computations (0% saved)
| Inputs |
|---|
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) |
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) |
(+.f64 #s(literal 1 binary64) (exp.f64 x)) |
#s(literal 1 binary64) |
(exp.f64 x) |
x |
(*.f64 x y) |
y |
| Outputs |
|---|
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (log 2))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- 1/2 y))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y))))) |
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (+ (log 2) (* 1/2 x)))) |
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* 1/8 x)))))) |
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))))) |
#s(approx (+ 1 (exp x)) #s(hole binary64 2)) |
#s(approx (+ 1 (exp x)) #s(hole binary64 (+ 2 x))) |
#s(approx (+ 1 (exp x)) #s(hole binary64 (+ 2 (* x (+ 1 (* 1/2 x)))))) |
#s(approx (+ 1 (exp x)) #s(hole binary64 (+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))))) |
#s(approx (exp x) #s(hole binary64 1)) |
#s(approx (exp x) #s(hole binary64 (+ 1 x))) |
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x)))))) |
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (* x y) #s(hole binary64 (* x y))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* -1 (* x y)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* x (- (/ (log (+ 1 (exp x))) x) y)))) |
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (log (+ 1 (exp x))))) |
#s(approx (+ 1 (exp x)) #s(hole binary64 (+ 1 (exp x)))) |
#s(approx (exp x) #s(hole binary64 (exp x))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y)))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log (+ 1 (exp x))) (* -1 (* x y))))) |
#s(approx y #s(hole binary64 y)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* y (- (/ (log (+ 1 (exp x))) y) x)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x)))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 111.0ms | x | @ | -inf | ((- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) 1 (exp x) x (* x y) y) |
| 27.0ms | x | @ | inf | ((- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) 1 (exp x) x (* x y) y) |
| 8.0ms | y | @ | 0 | ((- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) 1 (exp x) x (* x y) y) |
| 2.0ms | y | @ | -inf | ((- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) 1 (exp x) x (* x y) y) |
| 2.0ms | y | @ | inf | ((- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) 1 (exp x) x (* x y) y) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 100 | 410 |
| 0 | 107 | 395 |
| 1 | 644 | 395 |
| 2 | 5481 | 395 |
| 0 | 8338 | 329 |
| 1 | 25771 | 329 |
| 1× | saturated |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) |
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) |
(+.f64 #s(literal 1 binary64) (exp.f64 x)) |
#s(literal 1 binary64) |
(exp.f64 x) |
x |
(*.f64 x y) |
y |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (log 2))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- 1/2 y))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y))))) |
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (+ (log 2) (* 1/2 x)))) |
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* 1/8 x)))))) |
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))))) |
#s(approx (+ 1 (exp x)) #s(hole binary64 2)) |
#s(approx (+ 1 (exp x)) #s(hole binary64 (+ 2 x))) |
#s(approx (+ 1 (exp x)) #s(hole binary64 (+ 2 (* x (+ 1 (* 1/2 x)))))) |
#s(approx (+ 1 (exp x)) #s(hole binary64 (+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))))) |
#s(approx (exp x) #s(hole binary64 1)) |
#s(approx (exp x) #s(hole binary64 (+ 1 x))) |
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x)))))) |
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (* x y) #s(hole binary64 (* x y))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* -1 (* x y)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* x (- (/ (log (+ 1 (exp x))) x) y)))) |
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (log (+ 1 (exp x))))) |
#s(approx (+ 1 (exp x)) #s(hole binary64 (+ 1 (exp x)))) |
#s(approx (exp x) #s(hole binary64 (exp x))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y)))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log (+ 1 (exp x))) (* -1 (* x y))))) |
#s(approx y #s(hole binary64 y)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* y (- (/ (log (+ 1 (exp x))) y) x)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x)))))) |
| Outputs |
|---|
(neg.f64 (-.f64 (*.f64 y x) (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))) |
(fma.f64 (neg.f64 x) y (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))) |
(fma.f64 (neg.f64 y) x (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))) |
(fma.f64 #s(literal -1 binary64) (*.f64 y x) (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))) |
(fma.f64 (*.f64 y x) #s(literal -1 binary64) (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))) |
(fma.f64 y (neg.f64 x) (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))) |
(fma.f64 x (neg.f64 y) (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))) |
(-.f64 (*.f64 (neg.f64 x) y) (neg.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))) |
(-.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (*.f64 y x)) |
(+.f64 (*.f64 (neg.f64 x) y) (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))) |
(+.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (*.f64 (neg.f64 x) y)) |
(log1p.f64 (neg.f64 (neg.f64 (exp.f64 x)))) |
(log1p.f64 (exp.f64 x)) |
(log.f64 (fabs.f64 (fabs.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))) |
(log.f64 (fabs.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))) |
(log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) |
(neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 x)))) |
(neg.f64 (-.f64 (neg.f64 (exp.f64 x)) #s(literal 1 binary64))) |
(fma.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 (/.f64 (+.f64 #s(literal 0 binary64) (neg.f64 x)) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 #s(literal 0 binary64) (neg.f64 x)) #s(literal 2 binary64)))) (sinh.f64 x)) |
(fma.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 (/.f64 (+.f64 #s(literal 0 binary64) x) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 2 binary64)))) (sinh.f64 x)) |
(fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (exp.f64 x) #s(literal 1 binary64)) |
(-.f64 (exp.f64 x) #s(literal -1 binary64)) |
(-.f64 #s(literal 1 binary64) (neg.f64 (exp.f64 x))) |
(+.f64 (+.f64 #s(literal 1 binary64) (cosh.f64 x)) (sinh.f64 x)) |
(+.f64 (cosh.f64 x) (+.f64 (sinh.f64 x) #s(literal 1 binary64))) |
(+.f64 (exp.f64 x) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (exp.f64 x)))) |
(+.f64 #s(literal 1 binary64) (exp.f64 x)) |
#s(literal 1 binary64) |
(*.f64 (exp.f64 x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (exp.f64 x)) |
(/.f64 (*.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 2 binary64)) |
(neg.f64 (*.f64 #s(literal -1 binary64) (exp.f64 x))) |
(fma.f64 (cosh.f64 x) #s(literal 1 binary64) (*.f64 (sinh.f64 x) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1 binary64) (cosh.f64 x) (*.f64 #s(literal 1 binary64) (sinh.f64 x))) |
(sqrt.f64 (exp.f64 (+.f64 x x))) |
(-.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x))) |
(fabs.f64 (neg.f64 (exp.f64 x))) |
(fabs.f64 (exp.f64 x)) |
(exp.f64 (+.f64 #s(literal 0 binary64) x)) |
(exp.f64 x) |
(+.f64 (cosh.f64 (+.f64 #s(literal 0 binary64) x)) (sinh.f64 (+.f64 #s(literal 0 binary64) x))) |
(+.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 x)) (*.f64 #s(literal 1 binary64) (sinh.f64 x))) |
(+.f64 (*.f64 (cosh.f64 x) #s(literal 1 binary64)) (*.f64 (sinh.f64 x) #s(literal 1 binary64))) |
(+.f64 (sinh.f64 x) (cosh.f64 x)) |
(+.f64 (cosh.f64 x) (sinh.f64 x)) |
x |
(*.f64 (neg.f64 x) (neg.f64 y)) |
(*.f64 (*.f64 (neg.f64 x) y) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) y)) |
(*.f64 (*.f64 y x) #s(literal 1 binary64)) |
(*.f64 y x) |
(*.f64 x y) |
(*.f64 #s(literal 1 binary64) (*.f64 y x)) |
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 y x)) #s(literal 2 binary64)) |
(neg.f64 (*.f64 (neg.f64 x) y)) |
y |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))) |
#s(approx (log (+ 1 (exp x))) (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64)))) |
#s(approx (log (+ 1 (exp x))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))) |
#s(approx (log (+ 1 (exp x))) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))) |
#s(approx (+ 1 (exp x)) #s(literal 2 binary64)) |
#s(approx (+ 1 (exp x)) (-.f64 x #s(literal -2 binary64))) |
#s(approx (+ 1 (exp x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64))) |
#s(approx (+ 1 (exp x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 2 binary64))) |
#s(approx (exp x) #s(literal 1 binary64)) |
#s(approx (exp x) (-.f64 x #s(literal -1 binary64))) |
#s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) |
#s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) |
#s(approx x x) |
#s(approx (* x y) (*.f64 y x)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (-.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) x) y) x)) |
#s(approx (log (+ 1 (exp x))) (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))) |
#s(approx (+ 1 (exp x)) (-.f64 (exp.f64 x) #s(literal -1 binary64))) |
#s(approx (exp x) (exp.f64 x)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (-.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) x) y) x)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (-.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (*.f64 y x))) |
#s(approx y y) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (-.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) y) x) y)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (-.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) y) x) y)) |
Compiled 496 to 288 computations (41.9% saved)
8 alts after pruning (8 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 69 | 8 | 77 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 70 | 8 | 78 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
| 100.0% | (-.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (*.f64 y x)) | |
| ▶ | 90.2% | (-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y)) |
| ▶ | 77.6% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))) |
| 83.7% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))) | |
| ▶ | 99.9% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (-.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) x) y) x)) |
| ▶ | 49.0% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y)) |
| 52.3% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64))) |
Compiled 184 to 184 computations (0% saved)
| Inputs |
|---|
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
(log1p.f64 (exp.f64 x)) |
(exp.f64 x) |
x |
(*.f64 x y) |
y |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y)) |
(*.f64 (neg.f64 x) y) |
(neg.f64 x) |
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y)) |
(log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) |
#s(approx (+ 1 (exp x)) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))) |
(fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))) |
(fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) |
#s(literal 1/8 binary64) |
(-.f64 #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
(log.f64 #s(literal 2 binary64)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (-.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) x) y) x)) |
(*.f64 (-.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) x) y) x) |
(-.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) x) y) |
(/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) x) |
(log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) |
(-.f64 (exp.f64 x) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
| Outputs |
|---|
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (log 2))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- 1/2 y))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y))))) |
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (+ (log 2) (* 1/2 x)))) |
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* 1/8 x)))))) |
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))))) |
#s(approx (exp x) #s(hole binary64 1)) |
#s(approx (exp x) #s(hole binary64 (+ 1 x))) |
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x)))))) |
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (* x y) #s(hole binary64 (* x y))) |
#s(approx (* (neg x) y) #s(hole binary64 (* -1 (* x y)))) |
#s(approx (neg x) #s(hole binary64 (* -1 x))) |
#s(approx (+ 1 (exp x)) #s(hole binary64 2)) |
#s(approx (+ 1 (exp x)) #s(hole binary64 (+ 2 x))) |
#s(approx (+ 1 (exp x)) #s(hole binary64 (+ 2 (* x (+ 1 (* 1/2 x)))))) |
#s(approx (+ 1 (exp x)) #s(hole binary64 (+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))))) |
#s(approx (+ (* 1/8 x) (- 1/2 y)) #s(hole binary64 (- 1/2 y))) |
#s(approx (+ (* 1/8 x) (- 1/2 y)) #s(hole binary64 (- (+ 1/2 (* 1/8 x)) y))) |
#s(approx (- (/ (log (- (exp x) -1)) x) y) #s(hole binary64 (/ (log 2) x))) |
#s(approx (- (/ (log (- (exp x) -1)) x) y) #s(hole binary64 (/ (+ (log 2) (* x (- 1/2 y))) x))) |
#s(approx (- (/ (log (- (exp x) -1)) x) y) #s(hole binary64 (/ (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y))) x))) |
#s(approx (- (/ (log (- (exp x) -1)) x) y) #s(hole binary64 (/ (+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y))) x))) |
#s(approx (/ (log (- (exp x) -1)) x) #s(hole binary64 (/ (+ (log 2) (* 1/2 x)) x))) |
#s(approx (/ (log (- (exp x) -1)) x) #s(hole binary64 (/ (+ (log 2) (* x (+ 1/2 (* 1/8 x)))) x))) |
#s(approx (/ (log (- (exp x) -1)) x) #s(hole binary64 (/ (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))) x))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* x (- (/ (log (+ 1 (exp x))) x) y)))) |
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (log (+ 1 (exp x))))) |
#s(approx (exp x) #s(hole binary64 (exp x))) |
#s(approx (+ 1 (exp x)) #s(hole binary64 (+ 1 (exp x)))) |
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* 1/8 (pow x 2)))) |
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* (pow x 2) (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x))))) |
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* (pow x 2) (- (+ 1/8 (+ (* 1/2 (/ 1 x)) (/ (log 2) (pow x 2)))) (/ y x))))) |
#s(approx (+ (* 1/8 x) (- 1/2 y)) #s(hole binary64 (* 1/8 x))) |
#s(approx (+ (* 1/8 x) (- 1/2 y)) #s(hole binary64 (* x (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x))))) |
#s(approx (* (- (/ (log (- (exp x) -1)) x) y) x) #s(hole binary64 (* x (+ (* -1 y) (/ (log (+ 1 (exp x))) x))))) |
#s(approx (- (/ (log (- (exp x) -1)) x) y) #s(hole binary64 (* -1 y))) |
#s(approx (- (/ (log (- (exp x) -1)) x) y) #s(hole binary64 (- (/ (log (+ 1 (exp x))) x) y))) |
#s(approx (/ (log (- (exp x) -1)) x) #s(hole binary64 (/ (log (+ 1 (exp x))) x))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y)))))) |
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* (pow x 2) (+ 1/8 (* -1 (/ (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x))) x)))))) |
#s(approx (+ (* 1/8 x) (- 1/2 y)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (- 1/2 y) x)) 1/8))))) |
#s(approx (* (- (/ (log (- (exp x) -1)) x) y) x) #s(hole binary64 (* -1 (* x (+ y (* -1 (/ (log (+ 1 (exp x))) x))))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log (+ 1 (exp x))) (* -1 (* x y))))) |
#s(approx y #s(hole binary64 y)) |
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (+ (log 2) (+ (* -1 (* x y)) (* x (+ 1/2 (* 1/8 x))))))) |
#s(approx (+ (* 1/8 x) (- 1/2 y)) #s(hole binary64 (+ 1/2 (* 1/8 x)))) |
#s(approx (+ (* 1/8 x) (- 1/2 y)) #s(hole binary64 (+ 1/2 (+ (* -1 y) (* 1/8 x))))) |
#s(approx (- 1/2 y) #s(hole binary64 1/2)) |
#s(approx (- 1/2 y) #s(hole binary64 (+ 1/2 (* -1 y)))) |
#s(approx (- (/ (log (- (exp x) -1)) x) y) #s(hole binary64 (+ (* -1 y) (/ (log (+ 1 (exp x))) x)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* y (- (/ (log (+ 1 (exp x))) y) x)))) |
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* y (+ (* -1 x) (+ (/ (log 2) y) (/ (* x (+ 1/2 (* 1/8 x))) y)))))) |
#s(approx (+ (* 1/8 x) (- 1/2 y)) #s(hole binary64 (* y (- (+ (* 1/8 (/ x y)) (* 1/2 (/ 1 y))) 1)))) |
#s(approx (- 1/2 y) #s(hole binary64 (* y (- (* 1/2 (/ 1 y)) 1)))) |
#s(approx (* (- (/ (log (- (exp x) -1)) x) y) x) #s(hole binary64 (* y (+ (* -1 x) (/ (log (+ 1 (exp x))) y))))) |
#s(approx (- (/ (log (- (exp x) -1)) x) y) #s(hole binary64 (* y (- (/ (log (+ 1 (exp x))) (* x y)) 1)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x)))))) |
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* -1 (* y (+ x (* -1 (/ (+ (log 2) (* x (+ 1/2 (* 1/8 x)))) y))))))) |
#s(approx (+ (* 1/8 x) (- 1/2 y)) #s(hole binary64 (* -1 (* y (+ 1 (* -1 (/ (+ 1/2 (* 1/8 x)) y))))))) |
#s(approx (- 1/2 y) #s(hole binary64 (* -1 (* y (- 1 (* 1/2 (/ 1 y))))))) |
#s(approx (* (- (/ (log (- (exp x) -1)) x) y) x) #s(hole binary64 (* -1 (* y (+ x (* -1 (/ (log (+ 1 (exp x))) y))))))) |
#s(approx (- (/ (log (- (exp x) -1)) x) y) #s(hole binary64 (* -1 (* y (+ 1 (* -1 (/ (log (+ 1 (exp x))) (* x y)))))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 25.0ms | x | @ | -inf | ((- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (exp x) x (* x y) y (- (log (+ 1 (exp x))) (* x y)) (* (neg x) y) (neg x) (- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) 2 (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (+ (* 1/8 x) (- 1/2 y)) 1/8 (- 1/2 y) 1/2 (log 2) (- (log (+ 1 (exp x))) (* x y)) (* (- (/ (log (- (exp x) -1)) x) y) x) (- (/ (log (- (exp x) -1)) x) y) (/ (log (- (exp x) -1)) x) (log (- (exp x) -1)) (- (exp x) -1) -1) |
| 16.0ms | x | @ | inf | ((- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (exp x) x (* x y) y (- (log (+ 1 (exp x))) (* x y)) (* (neg x) y) (neg x) (- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) 2 (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (+ (* 1/8 x) (- 1/2 y)) 1/8 (- 1/2 y) 1/2 (log 2) (- (log (+ 1 (exp x))) (* x y)) (* (- (/ (log (- (exp x) -1)) x) y) x) (- (/ (log (- (exp x) -1)) x) y) (/ (log (- (exp x) -1)) x) (log (- (exp x) -1)) (- (exp x) -1) -1) |
| 5.0ms | y | @ | 0 | ((- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (exp x) x (* x y) y (- (log (+ 1 (exp x))) (* x y)) (* (neg x) y) (neg x) (- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) 2 (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (+ (* 1/8 x) (- 1/2 y)) 1/8 (- 1/2 y) 1/2 (log 2) (- (log (+ 1 (exp x))) (* x y)) (* (- (/ (log (- (exp x) -1)) x) y) x) (- (/ (log (- (exp x) -1)) x) y) (/ (log (- (exp x) -1)) x) (log (- (exp x) -1)) (- (exp x) -1) -1) |
| 3.0ms | y | @ | inf | ((- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (exp x) x (* x y) y (- (log (+ 1 (exp x))) (* x y)) (* (neg x) y) (neg x) (- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) 2 (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (+ (* 1/8 x) (- 1/2 y)) 1/8 (- 1/2 y) 1/2 (log 2) (- (log (+ 1 (exp x))) (* x y)) (* (- (/ (log (- (exp x) -1)) x) y) x) (- (/ (log (- (exp x) -1)) x) y) (/ (log (- (exp x) -1)) x) (log (- (exp x) -1)) (- (exp x) -1) -1) |
| 3.0ms | y | @ | -inf | ((- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (exp x) x (* x y) y (- (log (+ 1 (exp x))) (* x y)) (* (neg x) y) (neg x) (- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) 2 (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (+ (* 1/8 x) (- 1/2 y)) 1/8 (- 1/2 y) 1/2 (log 2) (- (log (+ 1 (exp x))) (* x y)) (* (- (/ (log (- (exp x) -1)) x) y) x) (- (/ (log (- (exp x) -1)) x) y) (/ (log (- (exp x) -1)) x) (log (- (exp x) -1)) (- (exp x) -1) -1) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 244 | 1243 |
| 0 | 270 | 1132 |
| 1 | 1539 | 1125 |
| 0 | 8145 | 1085 |
| 1 | 27382 | 1085 |
| 1× | saturated |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
(log1p.f64 (exp.f64 x)) |
(exp.f64 x) |
x |
(*.f64 x y) |
y |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y)) |
(*.f64 (neg.f64 x) y) |
(neg.f64 x) |
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y)) |
(log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) |
#s(approx (+ 1 (exp x)) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))) |
(fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))) |
(fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) |
#s(literal 1/8 binary64) |
(-.f64 #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
(log.f64 #s(literal 2 binary64)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (-.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) x) y) x)) |
(*.f64 (-.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) x) y) x) |
(-.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) x) y) |
(/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) x) |
(log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) |
(-.f64 (exp.f64 x) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (log 2))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- 1/2 y))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y))))) |
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (+ (log 2) (* 1/2 x)))) |
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* 1/8 x)))))) |
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))))) |
#s(approx (exp x) #s(hole binary64 1)) |
#s(approx (exp x) #s(hole binary64 (+ 1 x))) |
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x)))))) |
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (* x y) #s(hole binary64 (* x y))) |
#s(approx (* (neg x) y) #s(hole binary64 (* -1 (* x y)))) |
#s(approx (neg x) #s(hole binary64 (* -1 x))) |
#s(approx (+ 1 (exp x)) #s(hole binary64 2)) |
#s(approx (+ 1 (exp x)) #s(hole binary64 (+ 2 x))) |
#s(approx (+ 1 (exp x)) #s(hole binary64 (+ 2 (* x (+ 1 (* 1/2 x)))))) |
#s(approx (+ 1 (exp x)) #s(hole binary64 (+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))))) |
#s(approx (+ (* 1/8 x) (- 1/2 y)) #s(hole binary64 (- 1/2 y))) |
#s(approx (+ (* 1/8 x) (- 1/2 y)) #s(hole binary64 (- (+ 1/2 (* 1/8 x)) y))) |
#s(approx (- (/ (log (- (exp x) -1)) x) y) #s(hole binary64 (/ (log 2) x))) |
#s(approx (- (/ (log (- (exp x) -1)) x) y) #s(hole binary64 (/ (+ (log 2) (* x (- 1/2 y))) x))) |
#s(approx (- (/ (log (- (exp x) -1)) x) y) #s(hole binary64 (/ (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y))) x))) |
#s(approx (- (/ (log (- (exp x) -1)) x) y) #s(hole binary64 (/ (+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y))) x))) |
#s(approx (/ (log (- (exp x) -1)) x) #s(hole binary64 (/ (+ (log 2) (* 1/2 x)) x))) |
#s(approx (/ (log (- (exp x) -1)) x) #s(hole binary64 (/ (+ (log 2) (* x (+ 1/2 (* 1/8 x)))) x))) |
#s(approx (/ (log (- (exp x) -1)) x) #s(hole binary64 (/ (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))) x))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* x (- (/ (log (+ 1 (exp x))) x) y)))) |
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (log (+ 1 (exp x))))) |
#s(approx (exp x) #s(hole binary64 (exp x))) |
#s(approx (+ 1 (exp x)) #s(hole binary64 (+ 1 (exp x)))) |
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* 1/8 (pow x 2)))) |
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* (pow x 2) (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x))))) |
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* (pow x 2) (- (+ 1/8 (+ (* 1/2 (/ 1 x)) (/ (log 2) (pow x 2)))) (/ y x))))) |
#s(approx (+ (* 1/8 x) (- 1/2 y)) #s(hole binary64 (* 1/8 x))) |
#s(approx (+ (* 1/8 x) (- 1/2 y)) #s(hole binary64 (* x (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x))))) |
#s(approx (* (- (/ (log (- (exp x) -1)) x) y) x) #s(hole binary64 (* x (+ (* -1 y) (/ (log (+ 1 (exp x))) x))))) |
#s(approx (- (/ (log (- (exp x) -1)) x) y) #s(hole binary64 (* -1 y))) |
#s(approx (- (/ (log (- (exp x) -1)) x) y) #s(hole binary64 (- (/ (log (+ 1 (exp x))) x) y))) |
#s(approx (/ (log (- (exp x) -1)) x) #s(hole binary64 (/ (log (+ 1 (exp x))) x))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y)))))) |
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* (pow x 2) (+ 1/8 (* -1 (/ (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x))) x)))))) |
#s(approx (+ (* 1/8 x) (- 1/2 y)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (- 1/2 y) x)) 1/8))))) |
#s(approx (* (- (/ (log (- (exp x) -1)) x) y) x) #s(hole binary64 (* -1 (* x (+ y (* -1 (/ (log (+ 1 (exp x))) x))))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log (+ 1 (exp x))) (* -1 (* x y))))) |
#s(approx y #s(hole binary64 y)) |
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (+ (log 2) (+ (* -1 (* x y)) (* x (+ 1/2 (* 1/8 x))))))) |
#s(approx (+ (* 1/8 x) (- 1/2 y)) #s(hole binary64 (+ 1/2 (* 1/8 x)))) |
#s(approx (+ (* 1/8 x) (- 1/2 y)) #s(hole binary64 (+ 1/2 (+ (* -1 y) (* 1/8 x))))) |
#s(approx (- 1/2 y) #s(hole binary64 1/2)) |
#s(approx (- 1/2 y) #s(hole binary64 (+ 1/2 (* -1 y)))) |
#s(approx (- (/ (log (- (exp x) -1)) x) y) #s(hole binary64 (+ (* -1 y) (/ (log (+ 1 (exp x))) x)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* y (- (/ (log (+ 1 (exp x))) y) x)))) |
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* y (+ (* -1 x) (+ (/ (log 2) y) (/ (* x (+ 1/2 (* 1/8 x))) y)))))) |
#s(approx (+ (* 1/8 x) (- 1/2 y)) #s(hole binary64 (* y (- (+ (* 1/8 (/ x y)) (* 1/2 (/ 1 y))) 1)))) |
#s(approx (- 1/2 y) #s(hole binary64 (* y (- (* 1/2 (/ 1 y)) 1)))) |
#s(approx (* (- (/ (log (- (exp x) -1)) x) y) x) #s(hole binary64 (* y (+ (* -1 x) (/ (log (+ 1 (exp x))) y))))) |
#s(approx (- (/ (log (- (exp x) -1)) x) y) #s(hole binary64 (* y (- (/ (log (+ 1 (exp x))) (* x y)) 1)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x)))))) |
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* -1 (* y (+ x (* -1 (/ (+ (log 2) (* x (+ 1/2 (* 1/8 x)))) y))))))) |
#s(approx (+ (* 1/8 x) (- 1/2 y)) #s(hole binary64 (* -1 (* y (+ 1 (* -1 (/ (+ 1/2 (* 1/8 x)) y))))))) |
#s(approx (- 1/2 y) #s(hole binary64 (* -1 (* y (- 1 (* 1/2 (/ 1 y))))))) |
#s(approx (* (- (/ (log (- (exp x) -1)) x) y) x) #s(hole binary64 (* -1 (* y (+ x (* -1 (/ (log (+ 1 (exp x))) y))))))) |
#s(approx (- (/ (log (- (exp x) -1)) x) y) #s(hole binary64 (* -1 (* y (+ 1 (* -1 (/ (log (+ 1 (exp x))) (* x y)))))))) |
| Outputs |
|---|
(neg.f64 (-.f64 (*.f64 y x) (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))) |
(fma.f64 #s(literal -1 binary64) (*.f64 y x) (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))) |
(fma.f64 (neg.f64 x) y (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))) |
(fma.f64 (*.f64 y x) #s(literal -1 binary64) (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))) |
(fma.f64 y (neg.f64 x) (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))) |
(-.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 y x))) |
(-.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (neg.f64 (*.f64 (neg.f64 x) y))) |
(-.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (*.f64 y x)) |
(+.f64 (*.f64 (neg.f64 x) y) (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))) |
(+.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (*.f64 (neg.f64 x) y)) |
(log1p.f64 (exp.f64 x)) |
(log.f64 (fabs.f64 (fabs.f64 (-.f64 #s(literal -1 binary64) (exp.f64 x))))) |
(log.f64 (fabs.f64 (-.f64 #s(literal -1 binary64) (exp.f64 x)))) |
(log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) |
(sqrt.f64 (exp.f64 (+.f64 x x))) |
(fabs.f64 (neg.f64 (exp.f64 x))) |
(fabs.f64 (exp.f64 x)) |
(exp.f64 x) |
(+.f64 (cosh.f64 x) (sinh.f64 x)) |
x |
(*.f64 y x) |
(*.f64 x y) |
y |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y)) |
(*.f64 #s(literal -1 binary64) (*.f64 y x)) |
(*.f64 (neg.f64 x) y) |
(*.f64 (*.f64 y x) #s(literal -1 binary64)) |
(*.f64 y (neg.f64 x)) |
(neg.f64 (*.f64 y x)) |
(*.f64 #s(literal -1 binary64) x) |
(*.f64 x #s(literal -1 binary64)) |
(neg.f64 x) |
(neg.f64 (-.f64 (*.f64 y x) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))) |
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 y x)) |
(+.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 (neg.f64 x) y)) |
(log.f64 (fabs.f64 (fabs.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))) |
(log.f64 (fabs.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))) |
(log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) |
#s(approx (+ 1 (exp x)) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))) |
(fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))) |
(fma.f64 x (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) (log.f64 #s(literal 2 binary64))) |
(-.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x) (log.f64 #s(literal 1/2 binary64))) |
(-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (neg.f64 x) (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)))) |
(-.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x))) |
(+.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x) (log.f64 #s(literal 2 binary64))) |
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x)) |
(neg.f64 (-.f64 y (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)))) |
(fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) |
(fma.f64 x #s(literal 1/8 binary64) (-.f64 #s(literal 1/2 binary64) y)) |
(-.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y) |
(-.f64 (*.f64 #s(literal 1/8 binary64) x) (neg.f64 (-.f64 #s(literal 1/2 binary64) y))) |
(-.f64 #s(literal 1/2 binary64) (neg.f64 (fma.f64 #s(literal 1/8 binary64) x (neg.f64 y)))) |
(+.f64 (fma.f64 #s(literal 1/8 binary64) x (neg.f64 y)) #s(literal 1/2 binary64)) |
(+.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) (neg.f64 y)) |
(+.f64 (*.f64 #s(literal 1/8 binary64) x) (-.f64 #s(literal 1/2 binary64) y)) |
(+.f64 (-.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/8 binary64) x)) |
(+.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 1/8 binary64) x) y)) |
(+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/8 binary64) x (neg.f64 y))) |
#s(literal 1/8 binary64) |
(neg.f64 (-.f64 y #s(literal 1/2 binary64))) |
(fma.f64 #s(literal -1 binary64) y #s(literal 1/2 binary64)) |
(fma.f64 y #s(literal -1 binary64) #s(literal 1/2 binary64)) |
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) y)) |
(-.f64 #s(literal 1/2 binary64) (neg.f64 (neg.f64 y))) |
(-.f64 #s(literal 1/2 binary64) y) |
(+.f64 (neg.f64 y) #s(literal 1/2 binary64)) |
(+.f64 #s(literal 1/2 binary64) (neg.f64 y)) |
#s(literal 1/2 binary64) |
(log.f64 #s(literal 2 binary64)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (-.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) x) y) x)) |
(*.f64 (-.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) x) y) x) |
(*.f64 x (-.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) x) y)) |
(fma.f64 (neg.f64 y) x (*.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) x) x)) |
(fma.f64 x (neg.f64 y) (*.f64 x (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) x))) |
(+.f64 (*.f64 x (neg.f64 y)) (*.f64 x (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) x))) |
(+.f64 (*.f64 (neg.f64 y) x) (*.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) x) x)) |
(neg.f64 (-.f64 y (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) x))) |
(fma.f64 (neg.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 y)) |
(fma.f64 #s(literal -1 binary64) y (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) x)) |
(fma.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) x) (neg.f64 y)) |
(fma.f64 #s(literal 1 binary64) (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) x) (neg.f64 y)) |
(fma.f64 y #s(literal -1 binary64) (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) x)) |
(-.f64 (neg.f64 y) (neg.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) x))) |
(-.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) x) y) |
(+.f64 (neg.f64 y) (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) x)) |
(+.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) x) (neg.f64 y)) |
(*.f64 (neg.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 x))) |
(*.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 #s(literal 1 binary64) (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) x)) |
(/.f64 (*.f64 #s(literal 2 binary64) (neg.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))) (*.f64 #s(literal 2 binary64) (neg.f64 x))) |
(/.f64 (*.f64 #s(literal 2 binary64) (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))) (*.f64 #s(literal 2 binary64) x)) |
(/.f64 (neg.f64 (neg.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))) (neg.f64 (neg.f64 x))) |
(/.f64 (neg.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))) (neg.f64 x)) |
(/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) x) |
(log1p.f64 (exp.f64 x)) |
(log.f64 (fabs.f64 (fabs.f64 (-.f64 #s(literal -1 binary64) (exp.f64 x))))) |
(log.f64 (fabs.f64 (-.f64 #s(literal -1 binary64) (exp.f64 x)))) |
(log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) |
(neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 x)))) |
(neg.f64 (-.f64 #s(literal -1 binary64) (exp.f64 x))) |
(-.f64 (exp.f64 x) #s(literal -1 binary64)) |
(-.f64 #s(literal 1 binary64) (neg.f64 (exp.f64 x))) |
(+.f64 (exp.f64 x) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (exp.f64 x)) |
#s(literal -1 binary64) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) y) x (log.f64 #s(literal 2 binary64)))) |
#s(approx (log (+ 1 (exp x))) (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64)))) |
#s(approx (log (+ 1 (exp x))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))) |
#s(approx (log (+ 1 (exp x))) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))) |
#s(approx (exp x) #s(literal 1 binary64)) |
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) |
#s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) |
#s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) |
#s(approx x x) |
#s(approx (* x y) (*.f64 y x)) |
#s(approx (* (neg x) y) (*.f64 (neg.f64 x) y)) |
#s(approx (neg x) (neg.f64 x)) |
#s(approx (+ 1 (exp x)) #s(literal 2 binary64)) |
#s(approx (+ 1 (exp x)) (+.f64 #s(literal 2 binary64) x)) |
#s(approx (+ 1 (exp x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64))) |
#s(approx (+ 1 (exp x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 2 binary64))) |
#s(approx (+ (* 1/8 x) (- 1/2 y)) (-.f64 #s(literal 1/2 binary64) y)) |
#s(approx (+ (* 1/8 x) (- 1/2 y)) (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y))) |
#s(approx (- (/ (log (- (exp x) -1)) x) y) (/.f64 (log.f64 #s(literal 2 binary64)) x)) |
#s(approx (- (/ (log (- (exp x) -1)) x) y) (/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))) x)) |
#s(approx (- (/ (log (- (exp x) -1)) x) y) (/.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))) x)) |
#s(approx (- (/ (log (- (exp x) -1)) x) y) (/.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) y) x (log.f64 #s(literal 2 binary64))) x)) |
#s(approx (/ (log (- (exp x) -1)) x) (/.f64 (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) x)) |
#s(approx (/ (log (- (exp x) -1)) x) (/.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))) x)) |
#s(approx (/ (log (- (exp x) -1)) x) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))) x)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (-.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) x) y) x)) |
#s(approx (log (+ 1 (exp x))) (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))) |
#s(approx (exp x) (exp.f64 x)) |
#s(approx (+ 1 (exp x)) (-.f64 (exp.f64 x) #s(literal -1 binary64))) |
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))) |
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)) (*.f64 x x))) |
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 (+.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/2 binary64) x)) (/.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x x))) (/.f64 y x)) (*.f64 x x))) |
#s(approx (+ (* 1/8 x) (- 1/2 y)) (*.f64 #s(literal 1/8 binary64) x)) |
#s(approx (+ (* 1/8 x) (- 1/2 y)) (*.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)) x)) |
#s(approx (* (- (/ (log (- (exp x) -1)) x) y) x) (*.f64 (-.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) x) y) x)) |
#s(approx (- (/ (log (- (exp x) -1)) x) y) (neg.f64 y)) |
#s(approx (- (/ (log (- (exp x) -1)) x) y) (-.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) x) y)) |
#s(approx (/ (log (- (exp x) -1)) x) (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) x)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) (neg.f64 (-.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) x) y)))) |
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) y)) (/.f64 (log.f64 #s(literal 2 binary64)) x)) x)) (*.f64 x x))) |
#s(approx (+ (* 1/8 x) (- 1/2 y)) (*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) y)) x) #s(literal 1/8 binary64)))) |
#s(approx (* (- (/ (log (- (exp x) -1)) x) y) x) (*.f64 (neg.f64 x) (-.f64 y (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) x)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (-.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (*.f64 y x))) |
#s(approx y y) |
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (+.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) x (*.f64 (neg.f64 x) y)) (log.f64 #s(literal 2 binary64)))) |
#s(approx (+ (* 1/8 x) (- 1/2 y)) (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64))) |
#s(approx (+ (* 1/8 x) (- 1/2 y)) (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y))) |
#s(approx (- 1/2 y) #s(literal 1/2 binary64)) |
#s(approx (- 1/2 y) (-.f64 #s(literal 1/2 binary64) y)) |
#s(approx (- (/ (log (- (exp x) -1)) x) y) (-.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) x) y)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (-.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) y) x) y)) |
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (neg.f64 (-.f64 x (/.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))) y))) y)) |
#s(approx (+ (* 1/8 x) (- 1/2 y)) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) y)) |
#s(approx (- 1/2 y) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y)) |
#s(approx (* (- (/ (log (- (exp x) -1)) x) y) x) (*.f64 (-.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) y) x) y)) |
#s(approx (- (/ (log (- (exp x) -1)) x) y) (*.f64 (-.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (*.f64 y x)) #s(literal 1 binary64)) y)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) (neg.f64 (-.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) y) x)))) |
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (neg.f64 y) (-.f64 x (/.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))) y)))) |
#s(approx (+ (* 1/8 x) (- 1/2 y)) (*.f64 (neg.f64 y) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y)))) |
#s(approx (- 1/2 y) (*.f64 (neg.f64 y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y)))) |
#s(approx (* (- (/ (log (- (exp x) -1)) x) y) x) (*.f64 (neg.f64 y) (-.f64 x (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) y)))) |
#s(approx (- (/ (log (- (exp x) -1)) x) y) (*.f64 (neg.f64 y) (-.f64 #s(literal 1 binary64) (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (*.f64 y x))))) |
Compiled 1 239 to 623 computations (49.7% saved)
11 alts after pruning (8 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 150 | 5 | 155 |
| Fresh | 0 | 3 | 3 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 152 | 11 | 163 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
| 67.8% | (-.f64 (log1p.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x))) (*.f64 x y)) | |
| ▶ | 100.0% | (-.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (*.f64 y x)) |
| ✓ | 90.2% | (-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y)) |
| ▶ | 54.6% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64)))) |
| 83.7% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))) | |
| ✓ | 49.0% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y)) |
| ▶ | 52.2% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 #s(approx (- (/ (log (- (exp x) -1)) x) y) (/.f64 (log.f64 #s(literal 2 binary64)) x)) x)) |
| ▶ | 83.9% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 #s(approx (- (/ (log (- (exp x) -1)) x) y) (*.f64 (-.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (*.f64 y x)) #s(literal 1 binary64)) y)) x)) |
| ▶ | 52.3% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64))) |
| 5.7% | #s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (*.f64 x x) #s(literal 1/8 binary64)))) |
Compiled 283 to 279 computations (1.4% saved)
| Inputs |
|---|
(-.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (*.f64 y x)) |
(log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) |
(-.f64 (exp.f64 x) #s(literal -1 binary64)) |
(exp.f64 x) |
x |
#s(literal -1 binary64) |
(*.f64 y x) |
y |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64))) |
(log.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 #s(approx (- (/ (log (- (exp x) -1)) x) y) (/.f64 (log.f64 #s(literal 2 binary64)) x)) x)) |
(*.f64 #s(approx (- (/ (log (- (exp x) -1)) x) y) (/.f64 (log.f64 #s(literal 2 binary64)) x)) x) |
#s(approx (- (/ (log (- (exp x) -1)) x) y) (/.f64 (log.f64 #s(literal 2 binary64)) x)) |
(/.f64 (log.f64 #s(literal 2 binary64)) x) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64)))) |
(fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64))) |
(fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) |
#s(literal 1/8 binary64) |
#s(approx (- 1/2 y) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 #s(approx (- (/ (log (- (exp x) -1)) x) y) (*.f64 (-.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (*.f64 y x)) #s(literal 1 binary64)) y)) x)) |
(*.f64 #s(approx (- (/ (log (- (exp x) -1)) x) y) (*.f64 (-.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (*.f64 y x)) #s(literal 1 binary64)) y)) x) |
#s(approx (- (/ (log (- (exp x) -1)) x) y) (*.f64 (-.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (*.f64 y x)) #s(literal 1 binary64)) y)) |
(*.f64 (-.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (*.f64 y x)) #s(literal 1 binary64)) y) |
(-.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (*.f64 y x)) #s(literal 1 binary64)) |
(/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (*.f64 y x)) |
#s(literal 1 binary64) |
| Outputs |
|---|
#s(approx (- (log (- (exp x) -1)) (* y x)) #s(hole binary64 (log 2))) |
#s(approx (- (log (- (exp x) -1)) (* y x)) #s(hole binary64 (+ (log 2) (* x (- 1/2 y))))) |
#s(approx (- (log (- (exp x) -1)) (* y x)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y))))) |
#s(approx (- (log (- (exp x) -1)) (* y x)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y))))) |
#s(approx (log (- (exp x) -1)) #s(hole binary64 (+ (log 2) (* 1/2 x)))) |
#s(approx (log (- (exp x) -1)) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* 1/8 x)))))) |
#s(approx (log (- (exp x) -1)) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))))) |
#s(approx (- (exp x) -1) #s(hole binary64 2)) |
#s(approx (- (exp x) -1) #s(hole binary64 (+ 2 x))) |
#s(approx (- (exp x) -1) #s(hole binary64 (+ 2 (* x (+ 1 (* 1/2 x)))))) |
#s(approx (- (exp x) -1) #s(hole binary64 (+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))))) |
#s(approx (exp x) #s(hole binary64 1)) |
#s(approx (exp x) #s(hole binary64 (+ 1 x))) |
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x)))))) |
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (* y x) #s(hole binary64 (* x y))) |
#s(approx (- (/ (log (- (exp x) -1)) x) y) #s(hole binary64 (/ (log 2) x))) |
#s(approx (- (/ (log (- (exp x) -1)) x) y) #s(hole binary64 (/ (+ (log 2) (* x (- 1/2 y))) x))) |
#s(approx (- (/ (log (- (exp x) -1)) x) y) #s(hole binary64 (/ (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y))) x))) |
#s(approx (- (/ (log (- (exp x) -1)) x) y) #s(hole binary64 (/ (+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y))) x))) |
#s(approx (+ (* 1/8 x) (- 1/2 y)) #s(hole binary64 (- 1/2 y))) |
#s(approx (+ (* 1/8 x) (- 1/2 y)) #s(hole binary64 (- (+ 1/2 (* 1/8 x)) y))) |
#s(approx (* (- (/ (log (- (exp x) -1)) (* y x)) 1) y) #s(hole binary64 (/ (+ (log 2) (* x (* y (- (* 1/2 (/ 1 y)) 1)))) x))) |
#s(approx (* (- (/ (log (- (exp x) -1)) (* y x)) 1) y) #s(hole binary64 (/ (+ (log 2) (* x (+ (* 1/8 x) (* y (- (* 1/2 (/ 1 y)) 1))))) x))) |
#s(approx (* (- (/ (log (- (exp x) -1)) (* y x)) 1) y) #s(hole binary64 (/ (+ (log 2) (* x (+ (* x (+ 1/8 (* -1/192 (pow x 2)))) (* y (- (* 1/2 (/ 1 y)) 1))))) x))) |
#s(approx (- (/ (log (- (exp x) -1)) (* y x)) 1) #s(hole binary64 (/ (log 2) (* x y)))) |
#s(approx (- (/ (log (- (exp x) -1)) (* y x)) 1) #s(hole binary64 (/ (+ (* x (- (* 1/2 (/ 1 y)) 1)) (/ (log 2) y)) x))) |
#s(approx (- (/ (log (- (exp x) -1)) (* y x)) 1) #s(hole binary64 (/ (+ (* x (- (+ (* 1/8 (/ x y)) (* 1/2 (/ 1 y))) 1)) (/ (log 2) y)) x))) |
#s(approx (- (/ (log (- (exp x) -1)) (* y x)) 1) #s(hole binary64 (/ (+ (* x (- (+ (* 1/2 (/ 1 y)) (* x (+ (* -1/192 (/ (pow x 2) y)) (* 1/8 (/ 1 y))))) 1)) (/ (log 2) y)) x))) |
#s(approx (/ (log (- (exp x) -1)) (* y x)) #s(hole binary64 (/ (+ (* 1/2 (/ x y)) (/ (log 2) y)) x))) |
#s(approx (/ (log (- (exp x) -1)) (* y x)) #s(hole binary64 (/ (+ (* x (+ (* 1/8 (/ x y)) (* 1/2 (/ 1 y)))) (/ (log 2) y)) x))) |
#s(approx (/ (log (- (exp x) -1)) (* y x)) #s(hole binary64 (/ (+ (* x (+ (* x (+ (* -1/192 (/ (pow x 2) y)) (* 1/8 (/ 1 y)))) (* 1/2 (/ 1 y)))) (/ (log 2) y)) x))) |
#s(approx (- (log (- (exp x) -1)) (* y x)) #s(hole binary64 (* -1 (* x y)))) |
#s(approx (- (log (- (exp x) -1)) (* y x)) #s(hole binary64 (* x (- (/ (log (+ 1 (exp x))) x) y)))) |
#s(approx (log (- (exp x) -1)) #s(hole binary64 (log (+ 1 (exp x))))) |
#s(approx (- (exp x) -1) #s(hole binary64 (+ 1 (exp x)))) |
#s(approx (exp x) #s(hole binary64 (exp x))) |
#s(approx (* (- (/ (log (- (exp x) -1)) x) y) x) #s(hole binary64 (* x (+ (* -1 y) (/ (log (+ 1 (exp x))) x))))) |
#s(approx (- (/ (log (- (exp x) -1)) x) y) #s(hole binary64 (* -1 y))) |
#s(approx (- (/ (log (- (exp x) -1)) x) y) #s(hole binary64 (- (/ (log (+ 1 (exp x))) x) y))) |
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* 1/8 (pow x 2)))) |
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* (pow x 2) (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x))))) |
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* (pow x 2) (- (+ 1/8 (+ (* 1/2 (/ 1 x)) (/ (log 2) (pow x 2)))) (/ y x))))) |
#s(approx (+ (* 1/8 x) (- 1/2 y)) #s(hole binary64 (* 1/8 x))) |
#s(approx (+ (* 1/8 x) (- 1/2 y)) #s(hole binary64 (* x (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x))))) |
#s(approx (* (- (/ (log (- (exp x) -1)) (* y x)) 1) y) #s(hole binary64 (+ (* -1 y) (/ (log (+ 1 (exp x))) x)))) |
#s(approx (- (/ (log (- (exp x) -1)) (* y x)) 1) #s(hole binary64 -1)) |
#s(approx (- (/ (log (- (exp x) -1)) (* y x)) 1) #s(hole binary64 (- (/ (log (+ 1 (exp x))) (* x y)) 1))) |
#s(approx (/ (log (- (exp x) -1)) (* y x)) #s(hole binary64 (/ (log (+ 1 (exp x))) (* x y)))) |
#s(approx (- (log (- (exp x) -1)) (* y x)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y)))))) |
#s(approx (* (- (/ (log (- (exp x) -1)) x) y) x) #s(hole binary64 (* -1 (* x (+ y (* -1 (/ (log (+ 1 (exp x))) x))))))) |
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* (pow x 2) (+ 1/8 (* -1 (/ (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x))) x)))))) |
#s(approx (+ (* 1/8 x) (- 1/2 y)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (- 1/2 y) x)) 1/8))))) |
#s(approx (- (log (- (exp x) -1)) (* y x)) #s(hole binary64 (+ (log (+ 1 (exp x))) (* -1 (* x y))))) |
#s(approx y #s(hole binary64 y)) |
#s(approx (- (/ (log (- (exp x) -1)) x) y) #s(hole binary64 (/ (log (+ 1 (exp x))) x))) |
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (+ (log 2) (+ (* -1 (* x y)) (* x (+ 1/2 (* 1/8 x))))))) |
#s(approx (+ (* 1/8 x) (- 1/2 y)) #s(hole binary64 (+ 1/2 (* 1/8 x)))) |
#s(approx (+ (* 1/8 x) (- 1/2 y)) #s(hole binary64 (+ 1/2 (+ (* -1 y) (* 1/8 x))))) |
#s(approx (- 1/2 y) #s(hole binary64 1/2)) |
#s(approx (- 1/2 y) #s(hole binary64 (+ 1/2 (* -1 y)))) |
#s(approx (- (/ (log (- (exp x) -1)) (* y x)) 1) #s(hole binary64 (/ (+ (* -1 y) (/ (log (+ 1 (exp x))) x)) y))) |
#s(approx (- (log (- (exp x) -1)) (* y x)) #s(hole binary64 (* y (- (/ (log (+ 1 (exp x))) y) x)))) |
#s(approx (* (- (/ (log (- (exp x) -1)) x) y) x) #s(hole binary64 (* y (+ (* -1 x) (/ (log (+ 1 (exp x))) y))))) |
#s(approx (- (/ (log (- (exp x) -1)) x) y) #s(hole binary64 (* y (- (/ (log (+ 1 (exp x))) (* x y)) 1)))) |
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* y (+ (* -1 x) (+ (/ (log 2) y) (/ (* x (+ 1/2 (* 1/8 x))) y)))))) |
#s(approx (+ (* 1/8 x) (- 1/2 y)) #s(hole binary64 (* y (- (+ (* 1/8 (/ x y)) (* 1/2 (/ 1 y))) 1)))) |
#s(approx (- 1/2 y) #s(hole binary64 (* y (- (* 1/2 (/ 1 y)) 1)))) |
#s(approx (- (log (- (exp x) -1)) (* y x)) #s(hole binary64 (* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x)))))) |
#s(approx (* (- (/ (log (- (exp x) -1)) x) y) x) #s(hole binary64 (* -1 (* y (+ x (* -1 (/ (log (+ 1 (exp x))) y))))))) |
#s(approx (- (/ (log (- (exp x) -1)) x) y) #s(hole binary64 (* -1 (* y (+ 1 (* -1 (/ (log (+ 1 (exp x))) (* x y)))))))) |
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* -1 (* y (+ x (* -1 (/ (+ (log 2) (* x (+ 1/2 (* 1/8 x)))) y))))))) |
#s(approx (+ (* 1/8 x) (- 1/2 y)) #s(hole binary64 (* -1 (* y (+ 1 (* -1 (/ (+ 1/2 (* 1/8 x)) y))))))) |
#s(approx (- 1/2 y) #s(hole binary64 (* -1 (* y (- 1 (* 1/2 (/ 1 y))))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 88.0ms | y | @ | 0 | ((- (log (- (exp x) -1)) (* y x)) (log (- (exp x) -1)) (- (exp x) -1) (exp x) x -1 (* y x) y (- (log (+ 1 (exp x))) (* x y)) (log 2) 2 (- (log (+ 1 (exp x))) (* x y)) (* (- (/ (log (- (exp x) -1)) x) y) x) (- (/ (log (- (exp x) -1)) x) y) (/ (log 2) x) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (+ (* 1/8 x) (- 1/2 y)) 1/8 (- 1/2 y) 1/2 (- (log (+ 1 (exp x))) (* x y)) (* (- (/ (log (- (exp x) -1)) x) y) x) (- (/ (log (- (exp x) -1)) x) y) (* (- (/ (log (- (exp x) -1)) (* y x)) 1) y) (- (/ (log (- (exp x) -1)) (* y x)) 1) (/ (log (- (exp x) -1)) (* y x)) 1) |
| 49.0ms | x | @ | inf | ((- (log (- (exp x) -1)) (* y x)) (log (- (exp x) -1)) (- (exp x) -1) (exp x) x -1 (* y x) y (- (log (+ 1 (exp x))) (* x y)) (log 2) 2 (- (log (+ 1 (exp x))) (* x y)) (* (- (/ (log (- (exp x) -1)) x) y) x) (- (/ (log (- (exp x) -1)) x) y) (/ (log 2) x) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (+ (* 1/8 x) (- 1/2 y)) 1/8 (- 1/2 y) 1/2 (- (log (+ 1 (exp x))) (* x y)) (* (- (/ (log (- (exp x) -1)) x) y) x) (- (/ (log (- (exp x) -1)) x) y) (* (- (/ (log (- (exp x) -1)) (* y x)) 1) y) (- (/ (log (- (exp x) -1)) (* y x)) 1) (/ (log (- (exp x) -1)) (* y x)) 1) |
| 30.0ms | x | @ | 0 | ((- (log (- (exp x) -1)) (* y x)) (log (- (exp x) -1)) (- (exp x) -1) (exp x) x -1 (* y x) y (- (log (+ 1 (exp x))) (* x y)) (log 2) 2 (- (log (+ 1 (exp x))) (* x y)) (* (- (/ (log (- (exp x) -1)) x) y) x) (- (/ (log (- (exp x) -1)) x) y) (/ (log 2) x) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (+ (* 1/8 x) (- 1/2 y)) 1/8 (- 1/2 y) 1/2 (- (log (+ 1 (exp x))) (* x y)) (* (- (/ (log (- (exp x) -1)) x) y) x) (- (/ (log (- (exp x) -1)) x) y) (* (- (/ (log (- (exp x) -1)) (* y x)) 1) y) (- (/ (log (- (exp x) -1)) (* y x)) 1) (/ (log (- (exp x) -1)) (* y x)) 1) |
| 19.0ms | x | @ | -inf | ((- (log (- (exp x) -1)) (* y x)) (log (- (exp x) -1)) (- (exp x) -1) (exp x) x -1 (* y x) y (- (log (+ 1 (exp x))) (* x y)) (log 2) 2 (- (log (+ 1 (exp x))) (* x y)) (* (- (/ (log (- (exp x) -1)) x) y) x) (- (/ (log (- (exp x) -1)) x) y) (/ (log 2) x) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (+ (* 1/8 x) (- 1/2 y)) 1/8 (- 1/2 y) 1/2 (- (log (+ 1 (exp x))) (* x y)) (* (- (/ (log (- (exp x) -1)) x) y) x) (- (/ (log (- (exp x) -1)) x) y) (* (- (/ (log (- (exp x) -1)) (* y x)) 1) y) (- (/ (log (- (exp x) -1)) (* y x)) 1) (/ (log (- (exp x) -1)) (* y x)) 1) |
| 16.0ms | y | @ | -inf | ((- (log (- (exp x) -1)) (* y x)) (log (- (exp x) -1)) (- (exp x) -1) (exp x) x -1 (* y x) y (- (log (+ 1 (exp x))) (* x y)) (log 2) 2 (- (log (+ 1 (exp x))) (* x y)) (* (- (/ (log (- (exp x) -1)) x) y) x) (- (/ (log (- (exp x) -1)) x) y) (/ (log 2) x) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (+ (* 1/8 x) (- 1/2 y)) 1/8 (- 1/2 y) 1/2 (- (log (+ 1 (exp x))) (* x y)) (* (- (/ (log (- (exp x) -1)) x) y) x) (- (/ (log (- (exp x) -1)) x) y) (* (- (/ (log (- (exp x) -1)) (* y x)) 1) y) (- (/ (log (- (exp x) -1)) (* y x)) 1) (/ (log (- (exp x) -1)) (* y x)) 1) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 293 | 1775 |
| 0 | 318 | 1687 |
| 1 | 1989 | 1680 |
| 0 | 8033 | 1443 |
| 1 | 27107 | 1443 |
| 1× | saturated |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
(-.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (*.f64 y x)) |
(log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) |
(-.f64 (exp.f64 x) #s(literal -1 binary64)) |
(exp.f64 x) |
x |
#s(literal -1 binary64) |
(*.f64 y x) |
y |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64))) |
(log.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 #s(approx (- (/ (log (- (exp x) -1)) x) y) (/.f64 (log.f64 #s(literal 2 binary64)) x)) x)) |
(*.f64 #s(approx (- (/ (log (- (exp x) -1)) x) y) (/.f64 (log.f64 #s(literal 2 binary64)) x)) x) |
#s(approx (- (/ (log (- (exp x) -1)) x) y) (/.f64 (log.f64 #s(literal 2 binary64)) x)) |
(/.f64 (log.f64 #s(literal 2 binary64)) x) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64)))) |
(fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64))) |
(fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) |
#s(literal 1/8 binary64) |
#s(approx (- 1/2 y) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 #s(approx (- (/ (log (- (exp x) -1)) x) y) (*.f64 (-.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (*.f64 y x)) #s(literal 1 binary64)) y)) x)) |
(*.f64 #s(approx (- (/ (log (- (exp x) -1)) x) y) (*.f64 (-.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (*.f64 y x)) #s(literal 1 binary64)) y)) x) |
#s(approx (- (/ (log (- (exp x) -1)) x) y) (*.f64 (-.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (*.f64 y x)) #s(literal 1 binary64)) y)) |
(*.f64 (-.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (*.f64 y x)) #s(literal 1 binary64)) y) |
(-.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (*.f64 y x)) #s(literal 1 binary64)) |
(/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (*.f64 y x)) |
#s(literal 1 binary64) |
#s(approx (- (log (- (exp x) -1)) (* y x)) #s(hole binary64 (log 2))) |
#s(approx (- (log (- (exp x) -1)) (* y x)) #s(hole binary64 (+ (log 2) (* x (- 1/2 y))))) |
#s(approx (- (log (- (exp x) -1)) (* y x)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y))))) |
#s(approx (- (log (- (exp x) -1)) (* y x)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y))))) |
#s(approx (log (- (exp x) -1)) #s(hole binary64 (+ (log 2) (* 1/2 x)))) |
#s(approx (log (- (exp x) -1)) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* 1/8 x)))))) |
#s(approx (log (- (exp x) -1)) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))))) |
#s(approx (- (exp x) -1) #s(hole binary64 2)) |
#s(approx (- (exp x) -1) #s(hole binary64 (+ 2 x))) |
#s(approx (- (exp x) -1) #s(hole binary64 (+ 2 (* x (+ 1 (* 1/2 x)))))) |
#s(approx (- (exp x) -1) #s(hole binary64 (+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))))) |
#s(approx (exp x) #s(hole binary64 1)) |
#s(approx (exp x) #s(hole binary64 (+ 1 x))) |
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x)))))) |
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (* y x) #s(hole binary64 (* x y))) |
#s(approx (- (/ (log (- (exp x) -1)) x) y) #s(hole binary64 (/ (log 2) x))) |
#s(approx (- (/ (log (- (exp x) -1)) x) y) #s(hole binary64 (/ (+ (log 2) (* x (- 1/2 y))) x))) |
#s(approx (- (/ (log (- (exp x) -1)) x) y) #s(hole binary64 (/ (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y))) x))) |
#s(approx (- (/ (log (- (exp x) -1)) x) y) #s(hole binary64 (/ (+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y))) x))) |
#s(approx (+ (* 1/8 x) (- 1/2 y)) #s(hole binary64 (- 1/2 y))) |
#s(approx (+ (* 1/8 x) (- 1/2 y)) #s(hole binary64 (- (+ 1/2 (* 1/8 x)) y))) |
#s(approx (* (- (/ (log (- (exp x) -1)) (* y x)) 1) y) #s(hole binary64 (/ (+ (log 2) (* x (* y (- (* 1/2 (/ 1 y)) 1)))) x))) |
#s(approx (* (- (/ (log (- (exp x) -1)) (* y x)) 1) y) #s(hole binary64 (/ (+ (log 2) (* x (+ (* 1/8 x) (* y (- (* 1/2 (/ 1 y)) 1))))) x))) |
#s(approx (* (- (/ (log (- (exp x) -1)) (* y x)) 1) y) #s(hole binary64 (/ (+ (log 2) (* x (+ (* x (+ 1/8 (* -1/192 (pow x 2)))) (* y (- (* 1/2 (/ 1 y)) 1))))) x))) |
#s(approx (- (/ (log (- (exp x) -1)) (* y x)) 1) #s(hole binary64 (/ (log 2) (* x y)))) |
#s(approx (- (/ (log (- (exp x) -1)) (* y x)) 1) #s(hole binary64 (/ (+ (* x (- (* 1/2 (/ 1 y)) 1)) (/ (log 2) y)) x))) |
#s(approx (- (/ (log (- (exp x) -1)) (* y x)) 1) #s(hole binary64 (/ (+ (* x (- (+ (* 1/8 (/ x y)) (* 1/2 (/ 1 y))) 1)) (/ (log 2) y)) x))) |
#s(approx (- (/ (log (- (exp x) -1)) (* y x)) 1) #s(hole binary64 (/ (+ (* x (- (+ (* 1/2 (/ 1 y)) (* x (+ (* -1/192 (/ (pow x 2) y)) (* 1/8 (/ 1 y))))) 1)) (/ (log 2) y)) x))) |
#s(approx (/ (log (- (exp x) -1)) (* y x)) #s(hole binary64 (/ (+ (* 1/2 (/ x y)) (/ (log 2) y)) x))) |
#s(approx (/ (log (- (exp x) -1)) (* y x)) #s(hole binary64 (/ (+ (* x (+ (* 1/8 (/ x y)) (* 1/2 (/ 1 y)))) (/ (log 2) y)) x))) |
#s(approx (/ (log (- (exp x) -1)) (* y x)) #s(hole binary64 (/ (+ (* x (+ (* x (+ (* -1/192 (/ (pow x 2) y)) (* 1/8 (/ 1 y)))) (* 1/2 (/ 1 y)))) (/ (log 2) y)) x))) |
#s(approx (- (log (- (exp x) -1)) (* y x)) #s(hole binary64 (* -1 (* x y)))) |
#s(approx (- (log (- (exp x) -1)) (* y x)) #s(hole binary64 (* x (- (/ (log (+ 1 (exp x))) x) y)))) |
#s(approx (log (- (exp x) -1)) #s(hole binary64 (log (+ 1 (exp x))))) |
#s(approx (- (exp x) -1) #s(hole binary64 (+ 1 (exp x)))) |
#s(approx (exp x) #s(hole binary64 (exp x))) |
#s(approx (* (- (/ (log (- (exp x) -1)) x) y) x) #s(hole binary64 (* x (+ (* -1 y) (/ (log (+ 1 (exp x))) x))))) |
#s(approx (- (/ (log (- (exp x) -1)) x) y) #s(hole binary64 (* -1 y))) |
#s(approx (- (/ (log (- (exp x) -1)) x) y) #s(hole binary64 (- (/ (log (+ 1 (exp x))) x) y))) |
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* 1/8 (pow x 2)))) |
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* (pow x 2) (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x))))) |
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* (pow x 2) (- (+ 1/8 (+ (* 1/2 (/ 1 x)) (/ (log 2) (pow x 2)))) (/ y x))))) |
#s(approx (+ (* 1/8 x) (- 1/2 y)) #s(hole binary64 (* 1/8 x))) |
#s(approx (+ (* 1/8 x) (- 1/2 y)) #s(hole binary64 (* x (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x))))) |
#s(approx (* (- (/ (log (- (exp x) -1)) (* y x)) 1) y) #s(hole binary64 (+ (* -1 y) (/ (log (+ 1 (exp x))) x)))) |
#s(approx (- (/ (log (- (exp x) -1)) (* y x)) 1) #s(hole binary64 -1)) |
#s(approx (- (/ (log (- (exp x) -1)) (* y x)) 1) #s(hole binary64 (- (/ (log (+ 1 (exp x))) (* x y)) 1))) |
#s(approx (/ (log (- (exp x) -1)) (* y x)) #s(hole binary64 (/ (log (+ 1 (exp x))) (* x y)))) |
#s(approx (- (log (- (exp x) -1)) (* y x)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y)))))) |
#s(approx (* (- (/ (log (- (exp x) -1)) x) y) x) #s(hole binary64 (* -1 (* x (+ y (* -1 (/ (log (+ 1 (exp x))) x))))))) |
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* (pow x 2) (+ 1/8 (* -1 (/ (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x))) x)))))) |
#s(approx (+ (* 1/8 x) (- 1/2 y)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (- 1/2 y) x)) 1/8))))) |
#s(approx (- (log (- (exp x) -1)) (* y x)) #s(hole binary64 (+ (log (+ 1 (exp x))) (* -1 (* x y))))) |
#s(approx y #s(hole binary64 y)) |
#s(approx (- (/ (log (- (exp x) -1)) x) y) #s(hole binary64 (/ (log (+ 1 (exp x))) x))) |
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (+ (log 2) (+ (* -1 (* x y)) (* x (+ 1/2 (* 1/8 x))))))) |
#s(approx (+ (* 1/8 x) (- 1/2 y)) #s(hole binary64 (+ 1/2 (* 1/8 x)))) |
#s(approx (+ (* 1/8 x) (- 1/2 y)) #s(hole binary64 (+ 1/2 (+ (* -1 y) (* 1/8 x))))) |
#s(approx (- 1/2 y) #s(hole binary64 1/2)) |
#s(approx (- 1/2 y) #s(hole binary64 (+ 1/2 (* -1 y)))) |
#s(approx (- (/ (log (- (exp x) -1)) (* y x)) 1) #s(hole binary64 (/ (+ (* -1 y) (/ (log (+ 1 (exp x))) x)) y))) |
#s(approx (- (log (- (exp x) -1)) (* y x)) #s(hole binary64 (* y (- (/ (log (+ 1 (exp x))) y) x)))) |
#s(approx (* (- (/ (log (- (exp x) -1)) x) y) x) #s(hole binary64 (* y (+ (* -1 x) (/ (log (+ 1 (exp x))) y))))) |
#s(approx (- (/ (log (- (exp x) -1)) x) y) #s(hole binary64 (* y (- (/ (log (+ 1 (exp x))) (* x y)) 1)))) |
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* y (+ (* -1 x) (+ (/ (log 2) y) (/ (* x (+ 1/2 (* 1/8 x))) y)))))) |
#s(approx (+ (* 1/8 x) (- 1/2 y)) #s(hole binary64 (* y (- (+ (* 1/8 (/ x y)) (* 1/2 (/ 1 y))) 1)))) |
#s(approx (- 1/2 y) #s(hole binary64 (* y (- (* 1/2 (/ 1 y)) 1)))) |
#s(approx (- (log (- (exp x) -1)) (* y x)) #s(hole binary64 (* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x)))))) |
#s(approx (* (- (/ (log (- (exp x) -1)) x) y) x) #s(hole binary64 (* -1 (* y (+ x (* -1 (/ (log (+ 1 (exp x))) y))))))) |
#s(approx (- (/ (log (- (exp x) -1)) x) y) #s(hole binary64 (* -1 (* y (+ 1 (* -1 (/ (log (+ 1 (exp x))) (* x y)))))))) |
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* -1 (* y (+ x (* -1 (/ (+ (log 2) (* x (+ 1/2 (* 1/8 x)))) y))))))) |
#s(approx (+ (* 1/8 x) (- 1/2 y)) #s(hole binary64 (* -1 (* y (+ 1 (* -1 (/ (+ 1/2 (* 1/8 x)) y))))))) |
#s(approx (- 1/2 y) #s(hole binary64 (* -1 (* y (- 1 (* 1/2 (/ 1 y))))))) |
| Outputs |
|---|
(neg.f64 (-.f64 (*.f64 y x) (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))) |
(fma.f64 (neg.f64 x) y (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))) |
(fma.f64 (*.f64 y x) #s(literal -1 binary64) (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))) |
(fma.f64 #s(literal -1 binary64) (*.f64 y x) (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))) |
(-.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 y x))) |
(-.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (neg.f64 (*.f64 (neg.f64 x) y))) |
(-.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (*.f64 y x)) |
(+.f64 (*.f64 (neg.f64 x) y) (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))) |
(+.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (*.f64 (neg.f64 y) x)) |
(+.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (*.f64 (neg.f64 x) y)) |
(log1p.f64 (exp.f64 x)) |
(log.f64 (fabs.f64 (fabs.f64 (-.f64 #s(literal -1 binary64) (exp.f64 x))))) |
(log.f64 (fabs.f64 (-.f64 #s(literal -1 binary64) (exp.f64 x)))) |
(log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) |
(neg.f64 (-.f64 #s(literal -1 binary64) (exp.f64 x))) |
(-.f64 (exp.f64 x) #s(literal -1 binary64)) |
(-.f64 #s(literal 1 binary64) (neg.f64 (exp.f64 x))) |
(+.f64 (exp.f64 x) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (exp.f64 x)) |
(sqrt.f64 (exp.f64 (+.f64 x x))) |
(fabs.f64 (neg.f64 (exp.f64 x))) |
(fabs.f64 (exp.f64 x)) |
(exp.f64 x) |
(+.f64 (cosh.f64 x) (sinh.f64 x)) |
x |
#s(literal -1 binary64) |
(*.f64 y x) |
(*.f64 x y) |
y |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64))) |
(log.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 #s(approx (- (/ (log (- (exp x) -1)) x) y) (/.f64 (log.f64 #s(literal 2 binary64)) x)) x)) |
(*.f64 #s(approx (- (/ (log (- (exp x) -1)) x) y) (/.f64 (log.f64 #s(literal 2 binary64)) x)) x) |
(*.f64 x #s(approx (- (/ (log (- (exp x) -1)) x) y) (/.f64 (log.f64 #s(literal 2 binary64)) x))) |
#s(approx (- (/ (log (- (exp x) -1)) x) y) (/.f64 (log.f64 #s(literal 2 binary64)) x)) |
(*.f64 (log.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (neg.f64 (log.f64 #s(literal 1/2 binary64))) (neg.f64 (neg.f64 x))) |
(/.f64 (log.f64 #s(literal 1/2 binary64)) (neg.f64 x)) |
(/.f64 (log.f64 #s(literal 2 binary64)) x) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64)))) |
(fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64))) |
(fma.f64 x (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) (log.f64 #s(literal 2 binary64))) |
(-.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x) (log.f64 #s(literal 1/2 binary64))) |
(+.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x) (log.f64 #s(literal 2 binary64))) |
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x)) |
(fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) |
(fma.f64 x #s(literal 1/8 binary64) #s(approx (- 1/2 y) #s(literal 1/2 binary64))) |
(-.f64 (*.f64 #s(literal 1/8 binary64) x) (neg.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)))) |
(+.f64 (*.f64 #s(literal 1/8 binary64) x) #s(approx (- 1/2 y) #s(literal 1/2 binary64))) |
(+.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/8 binary64) x)) |
#s(literal 1/8 binary64) |
#s(approx (- 1/2 y) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 #s(approx (- (/ (log (- (exp x) -1)) x) y) (*.f64 (-.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (*.f64 y x)) #s(literal 1 binary64)) y)) x)) |
(*.f64 #s(approx (- (/ (log (- (exp x) -1)) x) y) (*.f64 (-.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (*.f64 y x)) #s(literal 1 binary64)) y)) x) |
(*.f64 x #s(approx (- (/ (log (- (exp x) -1)) x) y) (*.f64 (-.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (*.f64 y x)) #s(literal 1 binary64)) y))) |
#s(approx (- (/ (log (- (exp x) -1)) x) y) (*.f64 (-.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (*.f64 y x)) #s(literal 1 binary64)) y)) |
(*.f64 (-.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (*.f64 y x)) #s(literal 1 binary64)) y) |
(*.f64 y (-.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (*.f64 y x)) #s(literal 1 binary64))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 x) y) #s(literal 2 binary64))) (*.f64 (*.f64 (neg.f64 x) y) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) y) #s(literal 2 binary64)) (*.f64 x #s(literal 2 binary64))) (*.f64 x #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) x) #s(literal 2 binary64)) (*.f64 y #s(literal 2 binary64))) (*.f64 y #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 y x) #s(literal 2 binary64))) (*.f64 (*.f64 y x) #s(literal 2 binary64))) |
(neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (*.f64 y x)))) |
(fma.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal -1 binary64)) |
(-.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (*.f64 y x)) #s(literal 1 binary64)) |
(+.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (*.f64 y x)) #s(literal -1 binary64)) |
(*.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y x))) |
(/.f64 (neg.f64 (neg.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))) (neg.f64 (*.f64 (neg.f64 x) y))) |
(/.f64 (neg.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))) (*.f64 (neg.f64 x) y)) |
(/.f64 (neg.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) y)) (neg.f64 x)) |
(/.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) y) x) |
(/.f64 (neg.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) x)) (neg.f64 y)) |
(/.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) x) y) |
(/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (*.f64 y x)) |
#s(literal 1 binary64) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) y) x (log.f64 #s(literal 2 binary64)))) |
#s(approx (log (- (exp x) -1)) (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64)))) |
#s(approx (log (- (exp x) -1)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))) |
#s(approx (log (- (exp x) -1)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))) |
#s(approx (- (exp x) -1) #s(literal 2 binary64)) |
#s(approx (- (exp x) -1) (+.f64 #s(literal 2 binary64) x)) |
#s(approx (- (exp x) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64))) |
#s(approx (- (exp x) -1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 2 binary64))) |
#s(approx (exp x) #s(literal 1 binary64)) |
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) |
#s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) |
#s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) |
#s(approx x x) |
#s(approx (* y x) (*.f64 y x)) |
#s(approx (- (/ (log (- (exp x) -1)) x) y) (/.f64 (log.f64 #s(literal 2 binary64)) x)) |
#s(approx (- (/ (log (- (exp x) -1)) x) y) (/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))) x)) |
#s(approx (- (/ (log (- (exp x) -1)) x) y) (/.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))) x)) |
#s(approx (- (/ (log (- (exp x) -1)) x) y) (/.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) y) x (log.f64 #s(literal 2 binary64))) x)) |
#s(approx (+ (* 1/8 x) (- 1/2 y)) (-.f64 #s(literal 1/2 binary64) y)) |
#s(approx (+ (* 1/8 x) (- 1/2 y)) (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y))) |
#s(approx (* (- (/ (log (- (exp x) -1)) (* y x)) 1) y) (/.f64 (fma.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y) x (log.f64 #s(literal 2 binary64))) x)) |
#s(approx (* (- (/ (log (- (exp x) -1)) (* y x)) 1) y) (/.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y (*.f64 #s(literal 1/8 binary64) x)) x (log.f64 #s(literal 2 binary64))) x)) |
#s(approx (* (- (/ (log (- (exp x) -1)) (* y x)) 1) y) (/.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x)) x (log.f64 #s(literal 2 binary64))) x)) |
#s(approx (- (/ (log (- (exp x) -1)) (* y x)) 1) (/.f64 (log.f64 #s(literal 2 binary64)) (*.f64 y x))) |
#s(approx (- (/ (log (- (exp x) -1)) (* y x)) 1) (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) x (/.f64 (log.f64 #s(literal 2 binary64)) y)) x)) |
#s(approx (- (/ (log (- (exp x) -1)) (* y x)) 1) (/.f64 (fma.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) x (/.f64 (log.f64 #s(literal 2 binary64)) y)) x)) |
#s(approx (- (/ (log (- (exp x) -1)) (* y x)) 1) (/.f64 (fma.f64 (-.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) y) x (/.f64 #s(literal 1/2 binary64) y)) #s(literal 1 binary64)) x (/.f64 (log.f64 #s(literal 2 binary64)) y)) x)) |
#s(approx (/ (log (- (exp x) -1)) (* y x)) (/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) y) x)) |
#s(approx (/ (log (- (exp x) -1)) (* y x)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))) y) x)) |
#s(approx (/ (log (- (exp x) -1)) (* y x)) (/.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) y) x (/.f64 #s(literal 1/2 binary64) y)) x (/.f64 (log.f64 #s(literal 2 binary64)) y)) x)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (-.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) x) y) x)) |
#s(approx (log (- (exp x) -1)) (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))) |
#s(approx (- (exp x) -1) (-.f64 (exp.f64 x) #s(literal -1 binary64))) |
#s(approx (exp x) (exp.f64 x)) |
#s(approx (* (- (/ (log (- (exp x) -1)) x) y) x) (*.f64 (-.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) x) y) x)) |
#s(approx (- (/ (log (- (exp x) -1)) x) y) (neg.f64 y)) |
#s(approx (- (/ (log (- (exp x) -1)) x) y) (-.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) x) y)) |
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))) |
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)) (*.f64 x x))) |
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 (+.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1/8 binary64)) (/.f64 y x)) (*.f64 x x))) |
#s(approx (+ (* 1/8 x) (- 1/2 y)) (*.f64 #s(literal 1/8 binary64) x)) |
#s(approx (+ (* 1/8 x) (- 1/2 y)) (*.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)) x)) |
#s(approx (* (- (/ (log (- (exp x) -1)) (* y x)) 1) y) (-.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) x) y)) |
#s(approx (- (/ (log (- (exp x) -1)) (* y x)) 1) #s(literal -1 binary64)) |
#s(approx (- (/ (log (- (exp x) -1)) (* y x)) 1) (-.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (*.f64 y x)) #s(literal 1 binary64))) |
#s(approx (/ (log (- (exp x) -1)) (* y x)) (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (*.f64 y x))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) (neg.f64 (-.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) x) y)))) |
#s(approx (* (- (/ (log (- (exp x) -1)) x) y) x) (*.f64 (neg.f64 x) (+.f64 (neg.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) x)) y))) |
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 (log.f64 #s(literal 1/2 binary64)) x) (neg.f64 (-.f64 #s(literal 1/2 binary64) y))) x)) #s(literal 1/8 binary64)) (*.f64 x x))) |
#s(approx (+ (* 1/8 x) (- 1/2 y)) (*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) y)) x) #s(literal 1/8 binary64)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (-.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (*.f64 y x))) |
#s(approx y y) |
#s(approx (- (/ (log (- (exp x) -1)) x) y) (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) x)) |
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (+.f64 (fma.f64 (neg.f64 x) y (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) x)) (log.f64 #s(literal 2 binary64)))) |
#s(approx (+ (* 1/8 x) (- 1/2 y)) (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64))) |
#s(approx (+ (* 1/8 x) (- 1/2 y)) (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y))) |
#s(approx (- 1/2 y) #s(literal 1/2 binary64)) |
#s(approx (- 1/2 y) (-.f64 #s(literal 1/2 binary64) y)) |
#s(approx (- (/ (log (- (exp x) -1)) (* y x)) 1) (/.f64 (-.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) x) y) y)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (-.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) y) x) y)) |
#s(approx (* (- (/ (log (- (exp x) -1)) x) y) x) (*.f64 (-.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) y) x) y)) |
#s(approx (- (/ (log (- (exp x) -1)) x) y) (*.f64 (-.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (*.f64 y x)) #s(literal 1 binary64)) y)) |
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (+.f64 (neg.f64 x) (/.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))) y)) y)) |
#s(approx (+ (* 1/8 x) (- 1/2 y)) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) y)) |
#s(approx (- 1/2 y) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) (neg.f64 (-.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) y) x)))) |
#s(approx (* (- (/ (log (- (exp x) -1)) x) y) x) (*.f64 (neg.f64 y) (+.f64 (neg.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) y)) x))) |
#s(approx (- (/ (log (- (exp x) -1)) x) y) (*.f64 (neg.f64 y) (+.f64 (neg.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (*.f64 y x))) #s(literal 1 binary64)))) |
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (neg.f64 y) (+.f64 (neg.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))) y)) x))) |
#s(approx (+ (* 1/8 x) (- 1/2 y)) (*.f64 (neg.f64 y) (+.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y)) #s(literal 1 binary64)))) |
#s(approx (- 1/2 y) (*.f64 (neg.f64 y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y)))) |
Compiled 1 548 to 753 computations (51.4% saved)
11 alts after pruning (4 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 146 | 1 | 147 |
| Fresh | 0 | 3 | 3 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 3 | 3 |
| Total | 147 | 11 | 158 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
| ▶ | 67.8% | (-.f64 (log1p.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x))) (*.f64 x y)) |
| ✓ | 100.0% | (-.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (*.f64 y x)) |
| ✓ | 90.2% | (-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y)) |
| ✓ | 54.6% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64)))) |
| ▶ | 83.7% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))) |
| ✓ | 49.0% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y)) |
| ✓ | 52.2% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 #s(approx (- (/ (log (- (exp x) -1)) x) y) (/.f64 (log.f64 #s(literal 2 binary64)) x)) x)) |
| ▶ | 74.2% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 #s(approx (- (/ (log (- (exp x) -1)) x) y) (*.f64 (-.f64 (/.f64 (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))) (*.f64 y x)) #s(literal 1 binary64)) y)) x)) |
| ✓ | 52.3% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64))) |
| ▶ | 5.7% | #s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (*.f64 x x) #s(literal 1/8 binary64)))) |
Compiled 156 to 152 computations (2.6% saved)
| Inputs |
|---|
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (*.f64 x x) #s(literal 1/8 binary64)))) |
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))) |
(*.f64 (*.f64 x x) #s(literal 1/8 binary64)) |
(*.f64 x x) |
x |
#s(literal 1/8 binary64) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 #s(approx (- (/ (log (- (exp x) -1)) x) y) (*.f64 (-.f64 (/.f64 (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))) (*.f64 y x)) #s(literal 1 binary64)) y)) x)) |
(*.f64 #s(approx (- (/ (log (- (exp x) -1)) x) y) (*.f64 (-.f64 (/.f64 (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))) (*.f64 y x)) #s(literal 1 binary64)) y)) x) |
#s(approx (- (/ (log (- (exp x) -1)) x) y) (*.f64 (-.f64 (/.f64 (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))) (*.f64 y x)) #s(literal 1 binary64)) y)) |
(*.f64 (-.f64 (/.f64 (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))) (*.f64 y x)) #s(literal 1 binary64)) y) |
(-.f64 (/.f64 (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))) (*.f64 y x)) #s(literal 1 binary64)) |
(/.f64 (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))) (*.f64 y x)) |
(log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))) |
#s(approx (- (exp x) -1) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(*.f64 y x) |
y |
#s(literal 1 binary64) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))) |
(fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))) |
(-.f64 #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
(log.f64 #s(literal 2 binary64)) |
(-.f64 (log1p.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x))) (*.f64 x y)) |
(log1p.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x))) |
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) |
(+.f64 #s(literal 1 binary64) x) |
(*.f64 x y) |
| Outputs |
|---|
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (log 2))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- 1/2 y))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y))))) |
#s(approx (* (* x x) 1/8) #s(hole binary64 (* 1/8 (pow x 2)))) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (- (/ (log (- (exp x) -1)) x) y) #s(hole binary64 (/ (log 2) x))) |
#s(approx (- (/ (log (- (exp x) -1)) x) y) #s(hole binary64 (/ (+ (log 2) (* x (- 1/2 y))) x))) |
#s(approx (- (/ (log (- (exp x) -1)) x) y) #s(hole binary64 (/ (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y))) x))) |
#s(approx (- (/ (log (- (exp x) -1)) x) y) #s(hole binary64 (/ (+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y))) x))) |
#s(approx (* (- (/ (log (- (exp x) -1)) (* y x)) 1) y) #s(hole binary64 (/ (+ (log 2) (* x (* y (- (* 1/2 (/ 1 y)) 1)))) x))) |
#s(approx (* (- (/ (log (- (exp x) -1)) (* y x)) 1) y) #s(hole binary64 (/ (+ (log 2) (* x (+ (* 1/8 x) (* y (- (* 1/2 (/ 1 y)) 1))))) x))) |
#s(approx (* (- (/ (log (- (exp x) -1)) (* y x)) 1) y) #s(hole binary64 (/ (+ (log 2) (* x (+ (* x (+ 1/8 (* -1/192 (pow x 2)))) (* y (- (* 1/2 (/ 1 y)) 1))))) x))) |
#s(approx (- (/ (log (- (exp x) -1)) (* y x)) 1) #s(hole binary64 (/ (log 2) (* x y)))) |
#s(approx (- (/ (log (- (exp x) -1)) (* y x)) 1) #s(hole binary64 (/ (+ (* x (- (* 1/2 (/ 1 y)) 1)) (/ (log 2) y)) x))) |
#s(approx (- (/ (log (- (exp x) -1)) (* y x)) 1) #s(hole binary64 (/ (+ (* x (- (+ (* 1/8 (/ x y)) (* 1/2 (/ 1 y))) 1)) (/ (log 2) y)) x))) |
#s(approx (- (/ (log (- (exp x) -1)) (* y x)) 1) #s(hole binary64 (/ (+ (* x (- (+ (* 1/2 (/ 1 y)) (* x (+ (* -1/192 (/ (pow x 2) y)) (* 1/8 (/ 1 y))))) 1)) (/ (log 2) y)) x))) |
#s(approx (/ (log (- (exp x) -1)) (* y x)) #s(hole binary64 (/ (+ (* 1/2 (/ x y)) (/ (log 2) y)) x))) |
#s(approx (/ (log (- (exp x) -1)) (* y x)) #s(hole binary64 (/ (+ (* x (+ (* 1/8 (/ x y)) (* 1/2 (/ 1 y)))) (/ (log 2) y)) x))) |
#s(approx (/ (log (- (exp x) -1)) (* y x)) #s(hole binary64 (/ (+ (* x (+ (* x (+ (* -1/192 (/ (pow x 2) y)) (* 1/8 (/ 1 y)))) (* 1/2 (/ 1 y)))) (/ (log 2) y)) x))) |
#s(approx (log (- (exp x) -1)) #s(hole binary64 (+ (log 2) (* 1/2 x)))) |
#s(approx (log (- (exp x) -1)) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* 1/8 x)))))) |
#s(approx (log (- (exp x) -1)) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))))) |
#s(approx (- (exp x) -1) #s(hole binary64 2)) |
#s(approx (- (exp x) -1) #s(hole binary64 (+ 2 x))) |
#s(approx (- (exp x) -1) #s(hole binary64 (+ 2 (* x (+ 1 (* 1/2 x)))))) |
#s(approx (- (exp x) -1) #s(hole binary64 (+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))))) |
#s(approx (* y x) #s(hole binary64 (* x y))) |
#s(approx (exp x) #s(hole binary64 1)) |
#s(approx (exp x) #s(hole binary64 (+ 1 x))) |
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x)))))) |
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* -1 (* x y)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* x (- (/ (log (+ 1 (exp x))) x) y)))) |
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* (pow x 2) (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x))))) |
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* (pow x 2) (- (+ 1/8 (+ (* 1/2 (/ 1 x)) (/ (log 2) (pow x 2)))) (/ y x))))) |
#s(approx (* (- (/ (log (- (exp x) -1)) x) y) x) #s(hole binary64 (* x (+ (* -1 y) (/ (log (+ 1 (exp x))) x))))) |
#s(approx (- (/ (log (- (exp x) -1)) x) y) #s(hole binary64 (* -1 y))) |
#s(approx (- (/ (log (- (exp x) -1)) x) y) #s(hole binary64 (- (/ (log (+ 1 (exp x))) x) y))) |
#s(approx (* (- (/ (log (- (exp x) -1)) (* y x)) 1) y) #s(hole binary64 (+ (* -1 y) (/ (log (+ 1 (exp x))) x)))) |
#s(approx (- (/ (log (- (exp x) -1)) (* y x)) 1) #s(hole binary64 -1)) |
#s(approx (- (/ (log (- (exp x) -1)) (* y x)) 1) #s(hole binary64 (- (/ (log (+ 1 (exp x))) (* x y)) 1))) |
#s(approx (/ (log (- (exp x) -1)) (* y x)) #s(hole binary64 (/ (log (+ 1 (exp x))) (* x y)))) |
#s(approx (log (- (exp x) -1)) #s(hole binary64 (log (+ 1 (exp x))))) |
#s(approx (- (exp x) -1) #s(hole binary64 (+ 1 (exp x)))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (* x (- 1/2 y)))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (* x (- (+ 1/2 (/ (log 2) x)) y)))) |
#s(approx (exp x) #s(hole binary64 (exp x))) |
#s(approx (+ 1 x) #s(hole binary64 (* x (+ 1 (/ 1 x))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y)))))) |
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* (pow x 2) (+ 1/8 (* -1 (/ (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x))) x)))))) |
#s(approx (* (- (/ (log (- (exp x) -1)) x) y) x) #s(hole binary64 (* -1 (* x (+ y (* -1 (/ (log (+ 1 (exp x))) x))))))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x))))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log (+ 1 (exp x))) (* -1 (* x y))))) |
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (+ (log 2) (+ (* -1 (* x y)) (* x (+ 1/2 (* 1/8 x))))))) |
#s(approx (- (/ (log (- (exp x) -1)) x) y) #s(hole binary64 (/ (log (+ 1 (exp x))) x))) |
#s(approx (- (/ (log (- (exp x) -1)) (* y x)) 1) #s(hole binary64 (/ (+ (* -1 y) (/ (log (+ 1 (exp x))) x)) y))) |
#s(approx y #s(hole binary64 y)) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (+ (log 2) (+ (* -1 (* x y)) (* 1/2 x))))) |
#s(approx (- 1/2 y) #s(hole binary64 1/2)) |
#s(approx (- 1/2 y) #s(hole binary64 (+ 1/2 (* -1 y)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* y (- (/ (log (+ 1 (exp x))) y) x)))) |
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* y (+ (* -1 x) (+ (/ (log 2) y) (/ (* x (+ 1/2 (* 1/8 x))) y)))))) |
#s(approx (* (- (/ (log (- (exp x) -1)) x) y) x) #s(hole binary64 (* y (+ (* -1 x) (/ (log (+ 1 (exp x))) y))))) |
#s(approx (- (/ (log (- (exp x) -1)) x) y) #s(hole binary64 (* y (- (/ (log (+ 1 (exp x))) (* x y)) 1)))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y)))))) |
#s(approx (- 1/2 y) #s(hole binary64 (* y (- (* 1/2 (/ 1 y)) 1)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x)))))) |
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* -1 (* y (+ x (* -1 (/ (+ (log 2) (* x (+ 1/2 (* 1/8 x)))) y))))))) |
#s(approx (* (- (/ (log (- (exp x) -1)) x) y) x) #s(hole binary64 (* -1 (* y (+ x (* -1 (/ (log (+ 1 (exp x))) y))))))) |
#s(approx (- (/ (log (- (exp x) -1)) x) y) #s(hole binary64 (* -1 (* y (+ 1 (* -1 (/ (log (+ 1 (exp x))) (* x y)))))))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y))))))) |
#s(approx (- 1/2 y) #s(hole binary64 (* -1 (* y (- 1 (* 1/2 (/ 1 y))))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 16.0ms | y | @ | -inf | ((- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (* (* x x) 1/8) (* x x) x 1/8 (- (log (+ 1 (exp x))) (* x y)) (* (- (/ (log (- (exp x) -1)) x) y) x) (- (/ (log (- (exp x) -1)) x) y) (* (- (/ (log (- (exp x) -1)) (* y x)) 1) y) (- (/ (log (- (exp x) -1)) (* y x)) 1) (/ (log (- (exp x) -1)) (* y x)) (log (- (exp x) -1)) (- (exp x) -1) 2 (* y x) y 1 (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) 1/2 (log 2) (- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (exp x) (+ 1 x) (* x y)) |
| 16.0ms | x | @ | -inf | ((- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (* (* x x) 1/8) (* x x) x 1/8 (- (log (+ 1 (exp x))) (* x y)) (* (- (/ (log (- (exp x) -1)) x) y) x) (- (/ (log (- (exp x) -1)) x) y) (* (- (/ (log (- (exp x) -1)) (* y x)) 1) y) (- (/ (log (- (exp x) -1)) (* y x)) 1) (/ (log (- (exp x) -1)) (* y x)) (log (- (exp x) -1)) (- (exp x) -1) 2 (* y x) y 1 (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) 1/2 (log 2) (- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (exp x) (+ 1 x) (* x y)) |
| 14.0ms | y | @ | inf | ((- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (* (* x x) 1/8) (* x x) x 1/8 (- (log (+ 1 (exp x))) (* x y)) (* (- (/ (log (- (exp x) -1)) x) y) x) (- (/ (log (- (exp x) -1)) x) y) (* (- (/ (log (- (exp x) -1)) (* y x)) 1) y) (- (/ (log (- (exp x) -1)) (* y x)) 1) (/ (log (- (exp x) -1)) (* y x)) (log (- (exp x) -1)) (- (exp x) -1) 2 (* y x) y 1 (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) 1/2 (log 2) (- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (exp x) (+ 1 x) (* x y)) |
| 12.0ms | x | @ | inf | ((- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (* (* x x) 1/8) (* x x) x 1/8 (- (log (+ 1 (exp x))) (* x y)) (* (- (/ (log (- (exp x) -1)) x) y) x) (- (/ (log (- (exp x) -1)) x) y) (* (- (/ (log (- (exp x) -1)) (* y x)) 1) y) (- (/ (log (- (exp x) -1)) (* y x)) 1) (/ (log (- (exp x) -1)) (* y x)) (log (- (exp x) -1)) (- (exp x) -1) 2 (* y x) y 1 (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) 1/2 (log 2) (- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (exp x) (+ 1 x) (* x y)) |
| 9.0ms | y | @ | 0 | ((- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (* (* x x) 1/8) (* x x) x 1/8 (- (log (+ 1 (exp x))) (* x y)) (* (- (/ (log (- (exp x) -1)) x) y) x) (- (/ (log (- (exp x) -1)) x) y) (* (- (/ (log (- (exp x) -1)) (* y x)) 1) y) (- (/ (log (- (exp x) -1)) (* y x)) 1) (/ (log (- (exp x) -1)) (* y x)) (log (- (exp x) -1)) (- (exp x) -1) 2 (* y x) y 1 (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) 1/2 (log 2) (- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (exp x) (+ 1 x) (* x y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 298 | 1750 |
| 0 | 314 | 1671 |
| 1 | 2054 | 1655 |
| 0 | 8532 | 1452 |
| 1 | 29125 | 1452 |
| 1× | saturated |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (*.f64 x x) #s(literal 1/8 binary64)))) |
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))) |
(*.f64 (*.f64 x x) #s(literal 1/8 binary64)) |
(*.f64 x x) |
x |
#s(literal 1/8 binary64) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 #s(approx (- (/ (log (- (exp x) -1)) x) y) (*.f64 (-.f64 (/.f64 (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))) (*.f64 y x)) #s(literal 1 binary64)) y)) x)) |
(*.f64 #s(approx (- (/ (log (- (exp x) -1)) x) y) (*.f64 (-.f64 (/.f64 (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))) (*.f64 y x)) #s(literal 1 binary64)) y)) x) |
#s(approx (- (/ (log (- (exp x) -1)) x) y) (*.f64 (-.f64 (/.f64 (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))) (*.f64 y x)) #s(literal 1 binary64)) y)) |
(*.f64 (-.f64 (/.f64 (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))) (*.f64 y x)) #s(literal 1 binary64)) y) |
(-.f64 (/.f64 (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))) (*.f64 y x)) #s(literal 1 binary64)) |
(/.f64 (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))) (*.f64 y x)) |
(log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))) |
#s(approx (- (exp x) -1) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(*.f64 y x) |
y |
#s(literal 1 binary64) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))) |
(fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))) |
(-.f64 #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
(log.f64 #s(literal 2 binary64)) |
(-.f64 (log1p.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x))) (*.f64 x y)) |
(log1p.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x))) |
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) |
(+.f64 #s(literal 1 binary64) x) |
(*.f64 x y) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (log 2))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- 1/2 y))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y))))) |
#s(approx (* (* x x) 1/8) #s(hole binary64 (* 1/8 (pow x 2)))) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (- (/ (log (- (exp x) -1)) x) y) #s(hole binary64 (/ (log 2) x))) |
#s(approx (- (/ (log (- (exp x) -1)) x) y) #s(hole binary64 (/ (+ (log 2) (* x (- 1/2 y))) x))) |
#s(approx (- (/ (log (- (exp x) -1)) x) y) #s(hole binary64 (/ (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y))) x))) |
#s(approx (- (/ (log (- (exp x) -1)) x) y) #s(hole binary64 (/ (+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y))) x))) |
#s(approx (* (- (/ (log (- (exp x) -1)) (* y x)) 1) y) #s(hole binary64 (/ (+ (log 2) (* x (* y (- (* 1/2 (/ 1 y)) 1)))) x))) |
#s(approx (* (- (/ (log (- (exp x) -1)) (* y x)) 1) y) #s(hole binary64 (/ (+ (log 2) (* x (+ (* 1/8 x) (* y (- (* 1/2 (/ 1 y)) 1))))) x))) |
#s(approx (* (- (/ (log (- (exp x) -1)) (* y x)) 1) y) #s(hole binary64 (/ (+ (log 2) (* x (+ (* x (+ 1/8 (* -1/192 (pow x 2)))) (* y (- (* 1/2 (/ 1 y)) 1))))) x))) |
#s(approx (- (/ (log (- (exp x) -1)) (* y x)) 1) #s(hole binary64 (/ (log 2) (* x y)))) |
#s(approx (- (/ (log (- (exp x) -1)) (* y x)) 1) #s(hole binary64 (/ (+ (* x (- (* 1/2 (/ 1 y)) 1)) (/ (log 2) y)) x))) |
#s(approx (- (/ (log (- (exp x) -1)) (* y x)) 1) #s(hole binary64 (/ (+ (* x (- (+ (* 1/8 (/ x y)) (* 1/2 (/ 1 y))) 1)) (/ (log 2) y)) x))) |
#s(approx (- (/ (log (- (exp x) -1)) (* y x)) 1) #s(hole binary64 (/ (+ (* x (- (+ (* 1/2 (/ 1 y)) (* x (+ (* -1/192 (/ (pow x 2) y)) (* 1/8 (/ 1 y))))) 1)) (/ (log 2) y)) x))) |
#s(approx (/ (log (- (exp x) -1)) (* y x)) #s(hole binary64 (/ (+ (* 1/2 (/ x y)) (/ (log 2) y)) x))) |
#s(approx (/ (log (- (exp x) -1)) (* y x)) #s(hole binary64 (/ (+ (* x (+ (* 1/8 (/ x y)) (* 1/2 (/ 1 y)))) (/ (log 2) y)) x))) |
#s(approx (/ (log (- (exp x) -1)) (* y x)) #s(hole binary64 (/ (+ (* x (+ (* x (+ (* -1/192 (/ (pow x 2) y)) (* 1/8 (/ 1 y)))) (* 1/2 (/ 1 y)))) (/ (log 2) y)) x))) |
#s(approx (log (- (exp x) -1)) #s(hole binary64 (+ (log 2) (* 1/2 x)))) |
#s(approx (log (- (exp x) -1)) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* 1/8 x)))))) |
#s(approx (log (- (exp x) -1)) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))))) |
#s(approx (- (exp x) -1) #s(hole binary64 2)) |
#s(approx (- (exp x) -1) #s(hole binary64 (+ 2 x))) |
#s(approx (- (exp x) -1) #s(hole binary64 (+ 2 (* x (+ 1 (* 1/2 x)))))) |
#s(approx (- (exp x) -1) #s(hole binary64 (+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))))) |
#s(approx (* y x) #s(hole binary64 (* x y))) |
#s(approx (exp x) #s(hole binary64 1)) |
#s(approx (exp x) #s(hole binary64 (+ 1 x))) |
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x)))))) |
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* -1 (* x y)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* x (- (/ (log (+ 1 (exp x))) x) y)))) |
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* (pow x 2) (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x))))) |
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* (pow x 2) (- (+ 1/8 (+ (* 1/2 (/ 1 x)) (/ (log 2) (pow x 2)))) (/ y x))))) |
#s(approx (* (- (/ (log (- (exp x) -1)) x) y) x) #s(hole binary64 (* x (+ (* -1 y) (/ (log (+ 1 (exp x))) x))))) |
#s(approx (- (/ (log (- (exp x) -1)) x) y) #s(hole binary64 (* -1 y))) |
#s(approx (- (/ (log (- (exp x) -1)) x) y) #s(hole binary64 (- (/ (log (+ 1 (exp x))) x) y))) |
#s(approx (* (- (/ (log (- (exp x) -1)) (* y x)) 1) y) #s(hole binary64 (+ (* -1 y) (/ (log (+ 1 (exp x))) x)))) |
#s(approx (- (/ (log (- (exp x) -1)) (* y x)) 1) #s(hole binary64 -1)) |
#s(approx (- (/ (log (- (exp x) -1)) (* y x)) 1) #s(hole binary64 (- (/ (log (+ 1 (exp x))) (* x y)) 1))) |
#s(approx (/ (log (- (exp x) -1)) (* y x)) #s(hole binary64 (/ (log (+ 1 (exp x))) (* x y)))) |
#s(approx (log (- (exp x) -1)) #s(hole binary64 (log (+ 1 (exp x))))) |
#s(approx (- (exp x) -1) #s(hole binary64 (+ 1 (exp x)))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (* x (- 1/2 y)))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (* x (- (+ 1/2 (/ (log 2) x)) y)))) |
#s(approx (exp x) #s(hole binary64 (exp x))) |
#s(approx (+ 1 x) #s(hole binary64 (* x (+ 1 (/ 1 x))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y)))))) |
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* (pow x 2) (+ 1/8 (* -1 (/ (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x))) x)))))) |
#s(approx (* (- (/ (log (- (exp x) -1)) x) y) x) #s(hole binary64 (* -1 (* x (+ y (* -1 (/ (log (+ 1 (exp x))) x))))))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x))))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log (+ 1 (exp x))) (* -1 (* x y))))) |
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (+ (log 2) (+ (* -1 (* x y)) (* x (+ 1/2 (* 1/8 x))))))) |
#s(approx (- (/ (log (- (exp x) -1)) x) y) #s(hole binary64 (/ (log (+ 1 (exp x))) x))) |
#s(approx (- (/ (log (- (exp x) -1)) (* y x)) 1) #s(hole binary64 (/ (+ (* -1 y) (/ (log (+ 1 (exp x))) x)) y))) |
#s(approx y #s(hole binary64 y)) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (+ (log 2) (+ (* -1 (* x y)) (* 1/2 x))))) |
#s(approx (- 1/2 y) #s(hole binary64 1/2)) |
#s(approx (- 1/2 y) #s(hole binary64 (+ 1/2 (* -1 y)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* y (- (/ (log (+ 1 (exp x))) y) x)))) |
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* y (+ (* -1 x) (+ (/ (log 2) y) (/ (* x (+ 1/2 (* 1/8 x))) y)))))) |
#s(approx (* (- (/ (log (- (exp x) -1)) x) y) x) #s(hole binary64 (* y (+ (* -1 x) (/ (log (+ 1 (exp x))) y))))) |
#s(approx (- (/ (log (- (exp x) -1)) x) y) #s(hole binary64 (* y (- (/ (log (+ 1 (exp x))) (* x y)) 1)))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y)))))) |
#s(approx (- 1/2 y) #s(hole binary64 (* y (- (* 1/2 (/ 1 y)) 1)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x)))))) |
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* -1 (* y (+ x (* -1 (/ (+ (log 2) (* x (+ 1/2 (* 1/8 x)))) y))))))) |
#s(approx (* (- (/ (log (- (exp x) -1)) x) y) x) #s(hole binary64 (* -1 (* y (+ x (* -1 (/ (log (+ 1 (exp x))) y))))))) |
#s(approx (- (/ (log (- (exp x) -1)) x) y) #s(hole binary64 (* -1 (* y (+ 1 (* -1 (/ (log (+ 1 (exp x))) (* x y)))))))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y))))))) |
#s(approx (- 1/2 y) #s(hole binary64 (* -1 (* y (- 1 (* 1/2 (/ 1 y))))))) |
| Outputs |
|---|
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (*.f64 x x) #s(literal 1/8 binary64)))) |
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))) |
(*.f64 (*.f64 x x) #s(literal 1/8 binary64)) |
(*.f64 #s(literal 1/8 binary64) (*.f64 x x)) |
(*.f64 x (*.f64 #s(literal 1/8 binary64) x)) |
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x))) |
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x))) |
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x))) |
(*.f64 (fabs.f64 x) (fabs.f64 x)) |
(*.f64 (neg.f64 x) (neg.f64 x)) |
(*.f64 x x) |
(pow.f64 (fabs.f64 (fabs.f64 x)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 (neg.f64 x)) #s(literal 2 binary64)) |
(pow.f64 (fabs.f64 x) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 x) #s(literal 2 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(sqrt.f64 (*.f64 (*.f64 x x) (*.f64 x x))) |
(fabs.f64 (neg.f64 (*.f64 x x))) |
(fabs.f64 (*.f64 x x)) |
x |
#s(literal 1/8 binary64) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 #s(approx (- (/ (log (- (exp x) -1)) x) y) (*.f64 (-.f64 (/.f64 (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))) (*.f64 y x)) #s(literal 1 binary64)) y)) x)) |
(*.f64 #s(approx (- (/ (log (- (exp x) -1)) x) y) (*.f64 (-.f64 (/.f64 (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))) (*.f64 y x)) #s(literal 1 binary64)) y)) x) |
(*.f64 x #s(approx (- (/ (log (- (exp x) -1)) x) y) (*.f64 (-.f64 (/.f64 (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))) (*.f64 y x)) #s(literal 1 binary64)) y))) |
#s(approx (- (/ (log (- (exp x) -1)) x) y) (*.f64 (-.f64 (/.f64 (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))) (*.f64 y x)) #s(literal 1 binary64)) y)) |
(*.f64 (-.f64 (/.f64 (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))) (*.f64 y x)) #s(literal 1 binary64)) y) |
(*.f64 y (-.f64 (/.f64 (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))) (*.f64 y x)) #s(literal 1 binary64))) |
(/.f64 (-.f64 (*.f64 (/.f64 (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))) y) #s(literal 2 binary64)) (*.f64 x #s(literal 2 binary64))) (*.f64 x #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 x) y) #s(literal 2 binary64))) (*.f64 (*.f64 (neg.f64 x) y) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 y x) #s(literal 2 binary64))) (*.f64 (*.f64 y x) #s(literal 2 binary64))) |
(neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))) (*.f64 y x)))) |
(fma.f64 (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal -1 binary64)) |
(-.f64 (/.f64 (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))) (*.f64 y x)) #s(literal 1 binary64)) |
(+.f64 (/.f64 (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))) (*.f64 y x)) #s(literal -1 binary64)) |
(*.f64 (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y x))) |
(/.f64 (neg.f64 (/.f64 (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))) y)) (neg.f64 x)) |
(/.f64 (neg.f64 (neg.f64 (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))))) (neg.f64 (*.f64 (neg.f64 x) y))) |
(/.f64 (/.f64 (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))) y) x) |
(/.f64 (neg.f64 (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64)))) (*.f64 (neg.f64 x) y)) |
(/.f64 (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))) (*.f64 y x)) |
(log.f64 (fabs.f64 (fabs.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))))) |
(log.f64 (fabs.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64)))) |
(log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))) |
#s(approx (- (exp x) -1) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(*.f64 y x) |
(*.f64 x y) |
y |
#s(literal 1 binary64) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))) |
(fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))) |
(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64))) |
(-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) (log.f64 #s(literal 1/2 binary64))) |
(-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (neg.f64 x) (-.f64 #s(literal 1/2 binary64) y))) |
(-.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x))) |
(+.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) (log.f64 #s(literal 2 binary64))) |
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)) |
(neg.f64 (-.f64 y #s(literal 1/2 binary64))) |
(fma.f64 #s(literal -1 binary64) y #s(literal 1/2 binary64)) |
(fma.f64 y #s(literal -1 binary64) #s(literal 1/2 binary64)) |
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) y)) |
(-.f64 #s(literal 1/2 binary64) (neg.f64 (neg.f64 y))) |
(-.f64 #s(literal 1/2 binary64) y) |
(+.f64 (neg.f64 y) #s(literal 1/2 binary64)) |
(+.f64 #s(literal 1/2 binary64) (neg.f64 y)) |
#s(literal 1/2 binary64) |
(log.f64 #s(literal 2 binary64)) |
(neg.f64 (-.f64 (*.f64 y x) (log.f64 (+.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))))) |
(-.f64 (log.f64 (+.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))) (*.f64 y x)) |
(+.f64 (log.f64 (+.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))) (*.f64 (neg.f64 x) y)) |
(log1p.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64)))) |
(log.f64 (fabs.f64 (fabs.f64 (+.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))))) |
(log.f64 (fabs.f64 (+.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))) |
(log.f64 (+.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))) |
#s(approx (exp x) (+.f64 x #s(literal 1 binary64))) |
(-.f64 #s(literal 1 binary64) (neg.f64 x)) |
(+.f64 x #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) x) |
(*.f64 y x) |
(*.f64 x y) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) y) x (log.f64 #s(literal 2 binary64)))) |
#s(approx (* (* x x) 1/8) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))) |
#s(approx (* x x) (*.f64 x x)) |
#s(approx x x) |
#s(approx (- (/ (log (- (exp x) -1)) x) y) (/.f64 (log.f64 #s(literal 2 binary64)) x)) |
#s(approx (- (/ (log (- (exp x) -1)) x) y) (/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))) x)) |
#s(approx (- (/ (log (- (exp x) -1)) x) y) (/.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))) x)) |
#s(approx (- (/ (log (- (exp x) -1)) x) y) (/.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) y) x (log.f64 #s(literal 2 binary64))) x)) |
#s(approx (* (- (/ (log (- (exp x) -1)) (* y x)) 1) y) (/.f64 (fma.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y) x (log.f64 #s(literal 2 binary64))) x)) |
#s(approx (* (- (/ (log (- (exp x) -1)) (* y x)) 1) y) (/.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y (*.f64 #s(literal 1/8 binary64) x)) x (log.f64 #s(literal 2 binary64))) x)) |
#s(approx (* (- (/ (log (- (exp x) -1)) (* y x)) 1) y) (/.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x)) x (log.f64 #s(literal 2 binary64))) x)) |
#s(approx (- (/ (log (- (exp x) -1)) (* y x)) 1) (/.f64 (log.f64 #s(literal 2 binary64)) (*.f64 y x))) |
#s(approx (- (/ (log (- (exp x) -1)) (* y x)) 1) (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) x (/.f64 (log.f64 #s(literal 2 binary64)) y)) x)) |
#s(approx (- (/ (log (- (exp x) -1)) (* y x)) 1) (/.f64 (fma.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) x (/.f64 (log.f64 #s(literal 2 binary64)) y)) x)) |
#s(approx (- (/ (log (- (exp x) -1)) (* y x)) 1) (/.f64 (fma.f64 (-.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) y) x (/.f64 #s(literal 1/2 binary64) y)) #s(literal 1 binary64)) x (/.f64 (log.f64 #s(literal 2 binary64)) y)) x)) |
#s(approx (/ (log (- (exp x) -1)) (* y x)) (/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) y) x)) |
#s(approx (/ (log (- (exp x) -1)) (* y x)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))) y) x)) |
#s(approx (/ (log (- (exp x) -1)) (* y x)) (/.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) y) x (/.f64 #s(literal 1/2 binary64) y)) x (/.f64 (log.f64 #s(literal 2 binary64)) y)) x)) |
#s(approx (log (- (exp x) -1)) (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64)))) |
#s(approx (log (- (exp x) -1)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))) |
#s(approx (log (- (exp x) -1)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))) |
#s(approx (- (exp x) -1) #s(literal 2 binary64)) |
#s(approx (- (exp x) -1) (+.f64 #s(literal 2 binary64) x)) |
#s(approx (- (exp x) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64))) |
#s(approx (- (exp x) -1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 2 binary64))) |
#s(approx (* y x) (*.f64 y x)) |
#s(approx (exp x) #s(literal 1 binary64)) |
#s(approx (exp x) (+.f64 x #s(literal 1 binary64))) |
#s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) |
#s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (-.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) x) y) x)) |
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)) (*.f64 x x))) |
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 (+.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1/8 binary64)) (/.f64 y x)) (*.f64 x x))) |
#s(approx (* (- (/ (log (- (exp x) -1)) x) y) x) (*.f64 (-.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) x) y) x)) |
#s(approx (- (/ (log (- (exp x) -1)) x) y) (neg.f64 y)) |
#s(approx (- (/ (log (- (exp x) -1)) x) y) (-.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) x) y)) |
#s(approx (* (- (/ (log (- (exp x) -1)) (* y x)) 1) y) (-.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) x) y)) |
#s(approx (- (/ (log (- (exp x) -1)) (* y x)) 1) #s(literal -1 binary64)) |
#s(approx (- (/ (log (- (exp x) -1)) (* y x)) 1) (-.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (*.f64 y x)) #s(literal 1 binary64))) |
#s(approx (/ (log (- (exp x) -1)) (* y x)) (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (*.f64 y x))) |
#s(approx (log (- (exp x) -1)) (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))) |
#s(approx (- (exp x) -1) (-.f64 (exp.f64 x) #s(literal -1 binary64))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 1/2 binary64)) x)) y) x)) |
#s(approx (exp x) (exp.f64 x)) |
#s(approx (+ 1 x) (fma.f64 #s(literal 1 binary64) x #s(literal 1 binary64))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) (neg.f64 (-.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) x) y)))) |
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 (log.f64 #s(literal 1/2 binary64)) x) (neg.f64 (-.f64 #s(literal 1/2 binary64) y))) x)) #s(literal 1/8 binary64)) (*.f64 x x))) |
#s(approx (* (- (/ (log (- (exp x) -1)) x) y) x) (*.f64 (neg.f64 x) (+.f64 (neg.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) x)) y))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (neg.f64 x) (+.f64 (/.f64 (log.f64 #s(literal 1/2 binary64)) x) (neg.f64 (-.f64 #s(literal 1/2 binary64) y))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (-.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (*.f64 y x))) |
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (+.f64 (fma.f64 (neg.f64 x) y (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) x)) (log.f64 #s(literal 2 binary64)))) |
#s(approx (- (/ (log (- (exp x) -1)) x) y) (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) x)) |
#s(approx (- (/ (log (- (exp x) -1)) (* y x)) 1) (/.f64 (-.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) x) y) y)) |
#s(approx y y) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) (+.f64 (fma.f64 (neg.f64 x) y (*.f64 #s(literal 1/2 binary64) x)) (log.f64 #s(literal 2 binary64)))) |
#s(approx (- 1/2 y) #s(literal 1/2 binary64)) |
#s(approx (- 1/2 y) (-.f64 #s(literal 1/2 binary64) y)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (-.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) y) x) y)) |
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (+.f64 (neg.f64 x) (/.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))) y)) y)) |
#s(approx (* (- (/ (log (- (exp x) -1)) x) y) x) (*.f64 (-.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) y) x) y)) |
#s(approx (- (/ (log (- (exp x) -1)) x) y) (*.f64 (-.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (*.f64 y x)) #s(literal 1 binary64)) y)) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (+.f64 (neg.f64 x) (/.f64 (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) y)) y)) |
#s(approx (- 1/2 y) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) (neg.f64 (-.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) y) x)))) |
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (neg.f64 y) (+.f64 (neg.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))) y)) x))) |
#s(approx (* (- (/ (log (- (exp x) -1)) x) y) x) (*.f64 (neg.f64 y) (+.f64 (neg.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) y)) x))) |
#s(approx (- (/ (log (- (exp x) -1)) x) y) (*.f64 (neg.f64 y) (+.f64 (neg.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (*.f64 y x))) #s(literal 1 binary64)))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (neg.f64 y) (+.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) y)) x))) |
#s(approx (- 1/2 y) (*.f64 (neg.f64 y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y)))) |
Compiled 1 351 to 683 computations (49.4% saved)
12 alts after pruning (3 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 125 | 3 | 128 |
| Fresh | 0 | 0 | 0 |
| Picked | 2 | 2 | 4 |
| Done | 0 | 7 | 7 |
| Total | 127 | 12 | 139 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
| ✓ | 100.0% | (-.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (*.f64 y x)) |
| ✓ | 90.2% | (-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y)) |
| ✓ | 54.6% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64)))) |
| ✓ | 83.7% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))) |
| 52.3% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))) | |
| ✓ | 49.0% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y)) |
| ✓ | 52.2% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 #s(approx (- (/ (log (- (exp x) -1)) x) y) (/.f64 (log.f64 #s(literal 2 binary64)) x)) x)) |
| ✓ | 74.2% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 #s(approx (- (/ (log (- (exp x) -1)) x) y) (*.f64 (-.f64 (/.f64 (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))) (*.f64 y x)) #s(literal 1 binary64)) y)) x)) |
| ✓ | 52.3% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64))) |
| 83.7% | #s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 1/2 binary64)) x)) y) x))) | |
| 33.5% | #s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x))) |
Compiled 337 to 278 computations (17.5% saved)
| Inputs |
|---|
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (*.f64 x x) #s(literal 1/8 binary64)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))) |
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 #s(approx (- (/ (log (- (exp x) -1)) x) y) (/.f64 (log.f64 #s(literal 2 binary64)) x)) x)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 1/2 binary64)) x)) y) x))) |
(-.f64 (log1p.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x))) (*.f64 x y)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 #s(approx (- (/ (log (- (exp x) -1)) x) y) (*.f64 (-.f64 (/.f64 (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))) (*.f64 y x)) #s(literal 1 binary64)) y)) x)) |
(-.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (*.f64 y x)) |
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) |
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (-.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) x) y) x)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 #s(approx (- (/ (log (- (exp x) -1)) x) y) (*.f64 (-.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (*.f64 y x)) #s(literal 1 binary64)) y)) x)) |
| Outputs |
|---|
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
3 calls:
| 5.0ms | y |
| 5.0ms | x |
| 4.0ms | (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) |
| 100.0% | 1 | x |
| 100.0% | 1 | y |
Compiled 10 to 12 computations (-20% saved)
| Inputs |
|---|
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (*.f64 x x) #s(literal 1/8 binary64)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))) |
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 #s(approx (- (/ (log (- (exp x) -1)) x) y) (/.f64 (log.f64 #s(literal 2 binary64)) x)) x)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 1/2 binary64)) x)) y) x))) |
(-.f64 (log1p.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x))) (*.f64 x y)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 #s(approx (- (/ (log (- (exp x) -1)) x) y) (*.f64 (-.f64 (/.f64 (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))) (*.f64 y x)) #s(literal 1 binary64)) y)) x)) |
(-.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (*.f64 y x)) |
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) |
| Outputs |
|---|
(-.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (*.f64 y x)) |
3 calls:
| 4.0ms | y |
| 4.0ms | x |
| 4.0ms | (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) |
| 100.0% | 1 | x |
| 100.0% | 1 | y |
Compiled 10 to 12 computations (-20% saved)
| Inputs |
|---|
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (*.f64 x x) #s(literal 1/8 binary64)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))) |
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 #s(approx (- (/ (log (- (exp x) -1)) x) y) (/.f64 (log.f64 #s(literal 2 binary64)) x)) x)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 1/2 binary64)) x)) y) x))) |
(-.f64 (log1p.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x))) (*.f64 x y)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 #s(approx (- (/ (log (- (exp x) -1)) x) y) (*.f64 (-.f64 (/.f64 (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))) (*.f64 y x)) #s(literal 1 binary64)) y)) x)) |
| Outputs |
|---|
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))) |
3 calls:
| 4.0ms | y |
| 4.0ms | x |
| 3.0ms | (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.5% | 2 | (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) |
| 99.6% | 2 | x |
| 90.2% | 1 | y |
Compiled 10 to 12 computations (-20% saved)
| Inputs |
|---|
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (*.f64 x x) #s(literal 1/8 binary64)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))) |
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 #s(approx (- (/ (log (- (exp x) -1)) x) y) (/.f64 (log.f64 #s(literal 2 binary64)) x)) x)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 1/2 binary64)) x)) y) x))) |
(-.f64 (log1p.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x))) (*.f64 x y)) |
| Outputs |
|---|
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))) |
1 calls:
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.5% | 2 | x |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (*.f64 x x) #s(literal 1/8 binary64)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))) |
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 #s(approx (- (/ (log (- (exp x) -1)) x) y) (/.f64 (log.f64 #s(literal 2 binary64)) x)) x)) |
| Outputs |
|---|
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y)) |
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y)) |
1 calls:
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.3% | 2 | x |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (*.f64 x x) #s(literal 1/8 binary64)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))) |
| Outputs |
|---|
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y)) |
2 calls:
| 2.0ms | x |
| 2.0ms | (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.7% | 3 | (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) |
| 83.3% | 2 | x |
Compiled 9 to 10 computations (-11.1% saved)
| Inputs |
|---|
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (*.f64 x x) #s(literal 1/8 binary64)))) |
| Outputs |
|---|
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y)) |
1 calls:
| 2.0ms | (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.6% | 3 | (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) |
Compiled 8 to 8 computations (0% saved)
Total -10.2b remaining (-31.3%)
Threshold costs -10.2b (-31.3%)
| Inputs |
|---|
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x))) |
| Outputs |
|---|
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y)) |
3 calls:
| 1.0ms | y |
| 1.0ms | x |
| 1.0ms | (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 49.0% | 1 | x |
| 49.0% | 1 | y |
| 49.0% | 1 | (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) |
Compiled 10 to 12 computations (-20% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 29.0ms | -7207047.213264621 | -10.059501110776246 |
| 23.0ms | 144× | 0 | valid |
Compiled 255 to 272 computations (-6.7% saved)
ival-log1p: 17.0ms (84.1% of total)ival-exp: 2.0ms (9.9% of total)ival-mult!: 1.0ms (4.9% of total)ival-sub!: 0.0ms (0% of total)adjust: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 6.0ms | -7207047.213264621 | -10.059501110776246 |
| 3.0ms | 64× | 0 | valid |
Compiled 237 to 254 computations (-7.2% saved)
ival-exp: 1.0ms (56.2% of total)ival-sub!: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-log1p: 0.0ms (0% of total)ival-mult!: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 7.0ms | -7207047.213264621 | -10.059501110776246 |
| 4.0ms | 80× | 0 | valid |
Compiled 201 to 218 computations (-8.5% saved)
ival-exp: 1.0ms (48.3% of total)ival-log1p: 1.0ms (48.3% of total)ival-sub!: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-mult!: 0.0ms (0% of total)| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 416.76628721078987 | 1708508.3072389741 |
| 0.0ms | 0.00041938682618237815 | 0.6930307135612293 |
Compiled 11 to 13 computations (-18.2% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 416.76628721078987 | 1708508.3072389741 |
| 0.0ms | 0.00041938682618237815 | 0.6930307135612293 |
Compiled 11 to 13 computations (-18.2% saved)
| 1× | fuel |
Compiled 86 to 60 computations (30.2% saved)
Compiled 115 to 86 computations (25.2% saved)
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