
Time bar (total: 2.7s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 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)
| 455.0ms | 8 256× | 0 | valid |
| 239.0ms | 2 549× | 1 | exit |
ival-log1p: 139.0ms (32.3% of total)ival-exp: 123.0ms (28.6% of total)ival-mult!: 95.0ms (22.1% of total)adjust: 47.0ms (10.9% of total)ival-sub!: 24.0ms (5.6% of total)Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 60 |
| 1 | 54 | 58 |
| 2 | 130 | 58 |
| 3 | 294 | 58 |
| 4 | 1178 | 58 |
| 5 | 5705 | 58 |
| 1× | node-limit |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.1% | (-.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))) |
#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))))) |
#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 | |
|---|---|---|---|---|
| 25.0ms | x | @ | inf | ((- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) 1 (exp x) x (* x y) y) |
| 23.0ms | x | @ | -inf | ((- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) 1 (exp x) x (* x y) y) |
| 3.0ms | 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) |
| 1.0ms | 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 | 102 | 433 |
| 0 | 109 | 424 |
| 1 | 563 | 422 |
| 0 | 4887 | 350 |
| 1× | iter-limit |
| 1× | iter-limit |
| 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))) |
#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))))) |
#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 |
|---|
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 y x) y) x) (pow.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal 2 binary64))) (-.f64 (*.f64 (neg.f64 x) y) (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 y x) y) x))) (neg.f64 (fma.f64 y x (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 x x) x)))) (neg.f64 (fma.f64 (*.f64 y x) (fma.f64 y x (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))) (pow.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 y x) y) x)) (fma.f64 y x (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))) |
(/.f64 (-.f64 (pow.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 x x) x))) (fma.f64 (*.f64 (*.f64 y x) y) x (-.f64 (pow.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 x) y) (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))))) |
(/.f64 (-.f64 (pow.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 x x) x))) (fma.f64 (*.f64 y x) (fma.f64 y x (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))) (pow.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal 2 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 (pow.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal 2 binary64)) (fma.f64 y x (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))) (/.f64 (*.f64 (*.f64 (*.f64 y x) y) x) (fma.f64 y x (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))))) |
(-.f64 (/.f64 (pow.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal 3 binary64)) (fma.f64 (*.f64 y x) (fma.f64 y x (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))) (pow.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal 2 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 x x) x)) (fma.f64 (*.f64 y x) (fma.f64 y x (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))) (pow.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal 2 binary64))))) |
(-.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (*.f64 (*.f64 (neg.f64 x) y) #s(literal -1 binary64))) |
(-.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (*.f64 y x)) |
(+.f64 (/.f64 (pow.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal 3 binary64)) (fma.f64 (*.f64 y x) (fma.f64 y x (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))) (pow.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal 2 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 y x) y) x) (*.f64 (neg.f64 x) y)) (fma.f64 (*.f64 y x) (fma.f64 y x (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))) (pow.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal 2 binary64))))) |
(+.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)) |
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (log.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)))) |
(-.f64 (log.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 1 binary64))) (log.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64)))) |
(log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) |
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)))) |
(/.f64 (neg.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 1 binary64))) (neg.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (-.f64 #s(literal 1 binary64) (exp.f64 x))) |
(/.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (+.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (exp.f64 x)))) |
(/.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64))) |
(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 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (/.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (exp.f64 x)))) |
(-.f64 (exp.f64 x) #s(literal -1 binary64)) |
(+.f64 (+.f64 #s(literal 1 binary64) (cosh.f64 x)) (sinh.f64 x)) |
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64))) (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64)))) |
(+.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) (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)) |
(/.f64 (-.f64 (*.f64 (cosh.f64 x) (cosh.f64 x)) (*.f64 (sinh.f64 x) (sinh.f64 x))) (-.f64 (cosh.f64 x) (sinh.f64 x))) |
(/.f64 (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) (fma.f64 (cosh.f64 x) (cosh.f64 x) (-.f64 (*.f64 (sinh.f64 x) (sinh.f64 x)) (*.f64 (cosh.f64 x) (sinh.f64 x))))) |
(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))) |
(exp.f64 (+.f64 #s(literal 0 binary64) x)) |
(exp.f64 x) |
(+.f64 (*.f64 (cosh.f64 x) #s(literal 1 binary64)) (*.f64 (sinh.f64 x) #s(literal 1 binary64))) |
(+.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 x)) (*.f64 #s(literal 1 binary64) (sinh.f64 x))) |
(+.f64 (sinh.f64 x) (cosh.f64 x)) |
(+.f64 (cosh.f64 x) (sinh.f64 x)) |
x |
(*.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))) (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 #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 (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 (neg.f64 x) (neg.f64 (-.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) x) y)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 (-.f64 (exp.f64 x) #s(literal -1 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 (+ 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 (neg.f64 (-.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) y) x)) (neg.f64 y))) |
Compiled 752 to 326 computations (56.6% saved)
8 alts after pruning (8 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 76 | 8 | 84 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 77 | 8 | 85 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.2% | (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
| ▶ | 65.3% | (-.f64 (log.f64 #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)))) (*.f64 x y)) |
| ▶ | 88.6% | (-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y)) |
| ▶ | 75.7% | #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)))) |
| 79.1% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))) | |
| ▶ | 51.8% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y)) |
| 49.2% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))) | |
| 47.7% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64))) |
Compiled 194 to 194 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)) |
(-.f64 (log.f64 #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)))) (*.f64 x y)) |
(log.f64 #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 (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))) |
(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)) |
(fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) |
#s(literal 1/6 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))) |
#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)) x) (log 2)) #s(hole binary64 (log 2))) |
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (+ (log 2) (* x (- 1/2 y))))) |
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y))))) |
#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 (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 2) #s(hole binary64 2)) |
#s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 2) #s(hole binary64 (+ 2 x))) |
#s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 2) #s(hole binary64 (+ 2 (* x (+ 1 (* 1/2 x)))))) |
#s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 2) #s(hole binary64 (+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))))) |
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(hole binary64 1)) |
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(hole binary64 (+ 1 (* 1/2 x)))) |
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(hole binary64 (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
#s(approx (+ (* 1/6 x) 1/2) #s(hole binary64 1/2)) |
#s(approx (+ (* 1/6 x) 1/2) #s(hole binary64 (+ 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 (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 (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 2) #s(hole binary64 (* 1/6 (pow x 3)))) |
#s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 2) #s(hole binary64 (* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x)))))) |
#s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 2) #s(hole binary64 (* (pow x 3) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))))) |
#s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 2) #s(hole binary64 (* (pow x 3) (+ 1/6 (+ (* 1/2 (/ 1 x)) (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow x 3))))))))) |
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(hole binary64 (* 1/6 (pow x 2)))) |
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(hole binary64 (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x)))))) |
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(hole binary64 (* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))))) |
#s(approx (+ (* 1/6 x) 1/2) #s(hole binary64 (* 1/6 x))) |
#s(approx (+ (* 1/6 x) 1/2) #s(hole binary64 (* x (+ 1/6 (* 1/2 (/ 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 (+ (* 1/8 x) (- 1/2 y)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (- 1/2 y) x)) 1/8))))) |
#s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 2) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6))))) |
#s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 2) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 x) (/ 2 (pow x 2)))) x)) 1/6))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (log (+ 1 (exp 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) (* x (+ 1/2 (* 1/8 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 (+ 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 (* -1 (* x y)))) |
#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 (* -1 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 (* -1 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 (+ (* 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 | |
|---|---|---|---|---|
| 10.0ms | x | @ | 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 (+ 1 (exp x))) (+ 1 (exp x)) (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 2) (+ (* (+ (* 1/6 x) 1/2) x) 1) (+ (* 1/6 x) 1/2) 1/6 1) |
| 8.0ms | 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 (+ 1 (exp x))) (+ 1 (exp x)) (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 2) (+ (* (+ (* 1/6 x) 1/2) x) 1) (+ (* 1/6 x) 1/2) 1/6 1) |
| 8.0ms | 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 (+ 1 (exp x))) (+ 1 (exp x)) (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 2) (+ (* (+ (* 1/6 x) 1/2) x) 1) (+ (* 1/6 x) 1/2) 1/6 1) |
| 4.0ms | 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 (+ 1 (exp x))) (+ 1 (exp x)) (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 2) (+ (* (+ (* 1/6 x) 1/2) x) 1) (+ (* 1/6 x) 1/2) 1/6 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 (+ 1 (exp x))) (+ 1 (exp x)) (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 2) (+ (* (+ (* 1/6 x) 1/2) x) 1) (+ (* 1/6 x) 1/2) 1/6 1) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 267 | 1414 |
| 0 | 292 | 1326 |
| 1 | 1443 | 1325 |
| 0 | 8396 | 1293 |
| 1× | iter-limit |
| 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)) |
(-.f64 (log.f64 #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)))) (*.f64 x y)) |
(log.f64 #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 (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))) |
(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)) |
(fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) |
#s(literal 1/6 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))) |
#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)) x) (log 2)) #s(hole binary64 (log 2))) |
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (+ (log 2) (* x (- 1/2 y))))) |
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y))))) |
#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 (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 2) #s(hole binary64 2)) |
#s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 2) #s(hole binary64 (+ 2 x))) |
#s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 2) #s(hole binary64 (+ 2 (* x (+ 1 (* 1/2 x)))))) |
#s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 2) #s(hole binary64 (+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))))) |
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(hole binary64 1)) |
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(hole binary64 (+ 1 (* 1/2 x)))) |
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(hole binary64 (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
#s(approx (+ (* 1/6 x) 1/2) #s(hole binary64 1/2)) |
#s(approx (+ (* 1/6 x) 1/2) #s(hole binary64 (+ 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 (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 (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 2) #s(hole binary64 (* 1/6 (pow x 3)))) |
#s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 2) #s(hole binary64 (* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x)))))) |
#s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 2) #s(hole binary64 (* (pow x 3) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))))) |
#s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 2) #s(hole binary64 (* (pow x 3) (+ 1/6 (+ (* 1/2 (/ 1 x)) (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow x 3))))))))) |
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(hole binary64 (* 1/6 (pow x 2)))) |
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(hole binary64 (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x)))))) |
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(hole binary64 (* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))))) |
#s(approx (+ (* 1/6 x) 1/2) #s(hole binary64 (* 1/6 x))) |
#s(approx (+ (* 1/6 x) 1/2) #s(hole binary64 (* x (+ 1/6 (* 1/2 (/ 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 (+ (* 1/8 x) (- 1/2 y)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (- 1/2 y) x)) 1/8))))) |
#s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 2) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6))))) |
#s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 2) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 x) (/ 2 (pow x 2)))) x)) 1/6))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (log (+ 1 (exp 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) (* x (+ 1/2 (* 1/8 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 (+ 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 (* -1 (* x y)))) |
#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 (* -1 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 (* -1 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 (+ (* 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 |
|---|
(/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1 binary64) (*.f64 y x)) (*.f64 #s(literal 1 binary64) (*.f64 y x)))) (+.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 y x)))) |
(/.f64 (-.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (pow.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 2 binary64))) (-.f64 (*.f64 (neg.f64 x) y) (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))))) |
(/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 1 binary64) (*.f64 y x)) (*.f64 #s(literal 1 binary64) (*.f64 y x)) (*.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 y x)))))) |
(/.f64 (fma.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 x x) (neg.f64 x)) (pow.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 y x) (*.f64 y x) (-.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 x) y) (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 y x) (*.f64 y x)))) (neg.f64 (+.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) (*.f64 y x)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 x x) x)))) (neg.f64 (+.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 2 binary64)) (fma.f64 (*.f64 y x) (*.f64 y x) (*.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) (*.f64 y x)))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 x x) (neg.f64 x))))) (neg.f64 (+.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (*.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) (*.f64 (neg.f64 x) y)))))) |
(/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 y x) (*.f64 y x))) (+.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) (*.f64 y x))) |
(/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 x x) x))) (+.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 2 binary64)) (fma.f64 (*.f64 y x) (*.f64 y x) (*.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) (*.f64 y x))))) |
(/.f64 (+.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 x x) (neg.f64 x)))) (+.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (*.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) (*.f64 (neg.f64 x) y))))) |
(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 (/.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 2 binary64)) (+.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) (*.f64 y x))) (/.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (+.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) (*.f64 y x)))) |
(-.f64 (/.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 2 binary64)) (fma.f64 (*.f64 y x) (*.f64 y x) (*.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) (*.f64 y x))))) (/.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 x x) x)) (+.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 2 binary64)) (fma.f64 (*.f64 y x) (*.f64 y x) (*.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) (*.f64 y x)))))) |
(-.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))) (*.f64 y x)) |
(+.f64 (/.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (*.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) (*.f64 (neg.f64 x) y))))) (/.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 x x) (neg.f64 x))) (+.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (*.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) (*.f64 (neg.f64 x) y)))))) |
(+.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)) |
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (log.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)))) |
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64))))) (log.f64 (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (+.f64 #s(literal 0 binary64) x)))))) |
(log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) |
(/.f64 (-.f64 (*.f64 (cosh.f64 x) (cosh.f64 x)) (*.f64 (sinh.f64 x) (sinh.f64 x))) (-.f64 (cosh.f64 x) (sinh.f64 x))) |
(/.f64 (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) (fma.f64 (cosh.f64 x) (cosh.f64 x) (-.f64 (*.f64 (sinh.f64 x) (sinh.f64 x)) (*.f64 (cosh.f64 x) (sinh.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) |
(/.f64 (+.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 x x) (neg.f64 x)))) (fma.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (*.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 (neg.f64 x) y))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))) (*.f64 (*.f64 y x) (*.f64 y x)))) (neg.f64 (+.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 y x)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 x x) x)))) (neg.f64 (fma.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (fma.f64 (*.f64 y x) (*.f64 y x) (*.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 y x)))))) |
(/.f64 (-.f64 (*.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))) (*.f64 (*.f64 y x) (*.f64 y x))) (-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 (neg.f64 x) y))) |
(/.f64 (-.f64 (*.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))) (*.f64 (*.f64 y x) (*.f64 y x))) (+.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 y x))) |
(/.f64 (-.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 x x) x))) (fma.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (fma.f64 (*.f64 y x) (*.f64 y x) (*.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 y x))))) |
(-.f64 (/.f64 (*.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (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 (*.f64 (*.f64 y x) (*.f64 y x)) (+.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 y x)))) |
(-.f64 (/.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 3 binary64)) (fma.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (fma.f64 (*.f64 y x) (*.f64 y x) (*.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 y x))))) (/.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 x x) x)) (fma.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (fma.f64 (*.f64 y x) (*.f64 y x) (*.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 y x)) |
(+.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 (neg.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)))) |
(/.f64 (-.f64 (*.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64))) (*.f64 (*.f64 (neg.f64 x) (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y))) (*.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)) (*.f64 (neg.f64 x) (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y))))) |
(/.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 x) (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y))) #s(literal 3 binary64))) (fma.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64)) (fma.f64 (*.f64 (neg.f64 x) (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y))) (*.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)) (*.f64 (neg.f64 x) (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x) (*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x)) (*.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64))))) (neg.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x) (log.f64 #s(literal 2 binary64))))) |
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(+.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)))))) |
(+.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x)) |
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) x) (*.f64 #s(literal -1/6 binary64) x))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))) |
(/.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal -1/6 binary64) x) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 #s(literal -1/6 binary64) x) (*.f64 #s(literal -1/6 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 #s(literal 1/6 binary64) x)))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 #s(literal 1/6 binary64) x)) #s(literal 1/4 binary64))) (neg.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)))) |
(/.f64 (neg.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x x) x)))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 #s(literal 1/6 binary64) x)) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x x) x) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 #s(literal 1/6 binary64) x) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)))))) |
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 #s(literal 1/6 binary64) x))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 #s(literal 1/6 binary64) x)) #s(literal 1/4 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64))) |
(/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x x) x))) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 #s(literal 1/6 binary64) x)) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))))) |
(/.f64 (fma.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x x) x) #s(literal 1/8 binary64)) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 #s(literal 1/6 binary64) x) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64))))) |
(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) |
(fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))) (/.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 #s(literal 1/6 binary64) x)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))) |
(-.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 #s(literal 1/6 binary64) x)) (-.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)))) |
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x)) |
(+.f64 (/.f64 #s(literal 1/8 binary64) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 #s(literal 1/6 binary64) x)) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))))) (/.f64 (*.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x x) x)) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 #s(literal 1/6 binary64) x)) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))))) |
(+.f64 (/.f64 (*.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x x) x)) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 #s(literal 1/6 binary64) x) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64))))) (/.f64 #s(literal 1/8 binary64) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 #s(literal 1/6 binary64) x) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)))))) |
(+.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)) |
#s(literal 1/6 binary64) |
#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))) (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)) x) (log 2)) (log.f64 #s(literal 2 binary64))) |
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))) |
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (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 (+ (* 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 (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 2) #s(literal 2 binary64)) |
#s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 2) (+.f64 #s(literal 2 binary64) x)) |
#s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 2) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64))) |
#s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 2) (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 (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(literal 1 binary64)) |
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) |
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
#s(approx (+ (* 1/6 x) 1/2) #s(literal 1/2 binary64)) |
#s(approx (+ (* 1/6 x) 1/2) (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 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 (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 (/.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 (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 2) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/6 binary64))) |
#s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 2) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)) (*.f64 (*.f64 x x) x))) |
#s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 2) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1/6 binary64)) (*.f64 (*.f64 x x) x))) |
#s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 2) (*.f64 (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1/6 binary64)) (*.f64 (*.f64 x x) x))) |
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)) (*.f64 x x))) |
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1/6 binary64)) (*.f64 x x))) |
#s(approx (+ (* 1/6 x) 1/2) (*.f64 #s(literal 1/6 binary64) x)) |
#s(approx (+ (* 1/6 x) 1/2) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)) x)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) (-.f64 (neg.f64 (/.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) x)) (neg.f64 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 (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 2) (*.f64 (*.f64 (*.f64 x x) (neg.f64 x)) (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) #s(literal 1/6 binary64)))) |
#s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 2) (*.f64 (*.f64 (*.f64 x x) (neg.f64 x)) (-.f64 (neg.f64 (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x)) #s(literal 1/6 binary64)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 (+.f64 (exp.f64 x) #s(literal 1 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 (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (fma.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)) 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)) (+.f64 (fma.f64 #s(literal 1/8 binary64) x (neg.f64 y)) #s(literal 1/2 binary64))) |
#s(approx (- 1/2 y) #s(literal 1/2 binary64)) |
#s(approx (- 1/2 y) (+.f64 (neg.f64 y) #s(literal 1/2 binary64))) |
#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 x) y)) |
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (+.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) (neg.f64 x)) y)) |
#s(approx (+ (* 1/8 x) (- 1/2 y)) (neg.f64 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) (neg.f64 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) (-.f64 (neg.f64 (/.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) y)) (neg.f64 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 (+ (* 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 3 427 to 1 216 computations (64.5% saved)
10 alts after pruning (6 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 235 | 3 | 238 |
| Fresh | 0 | 3 | 3 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 0 | 0 |
| Total | 236 | 10 | 246 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.2% | (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
| ✓ | 65.3% | (-.f64 (log.f64 #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)))) (*.f64 x y)) |
| ✓ | 88.6% | (-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y)) |
| ▶ | 50.4% | #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)))) |
| ▶ | 79.1% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))) |
| ▶ | 88.6% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (+ (* 1/8 x) (- 1/2 y)) (neg.f64 y)) x (log.f64 #s(literal 2 binary64)))) |
| ✓ | 51.8% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y)) |
| 49.2% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))) | |
| ▶ | 47.7% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64))) |
| ▶ | 5.3% | #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 237 to 237 computations (0% saved)
| Inputs |
|---|
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (+ (* 1/8 x) (- 1/2 y)) (neg.f64 y)) x (log.f64 #s(literal 2 binary64)))) |
(fma.f64 #s(approx (+ (* 1/8 x) (- 1/2 y)) (neg.f64 y)) x (log.f64 #s(literal 2 binary64))) |
#s(approx (+ (* 1/8 x) (- 1/2 y)) (neg.f64 y)) |
(neg.f64 y) |
y |
x |
(log.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#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 (+ (* (+ (* 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) |
#s(literal 1/8 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) |
#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(approx (- 1/2 y) #s(literal 1/2 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 (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (log 2))) |
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (+ (log 2) (* x (- 1/2 y))))) |
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y))))) |
#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 x #s(hole binary64 x)) |
#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 (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (log 2))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (+ (log 2) (* x (- 1/2 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 (+ (* (+ (* 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 (+ (* (- 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 (- (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 (+ (* (- 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))))) |
#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) (* x (+ 1/2 (* 1/8 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 (neg y) #s(hole binary64 (* -1 y))) |
#s(approx y #s(hole binary64 y)) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (+ (log 2) (* 1/2 x)))) |
#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 (* -1 (* x y)))) |
#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 (* -1 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) x) (log 2)) #s(hole binary64 (* -1 (* x y)))) |
#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 (* -1 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 (+ (* 1/8 x) (- 1/2 y)) #s(hole binary64 (* -1 (* y (+ 1 (* -1 (/ (+ 1/2 (* 1/8 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 | |
|---|---|---|---|---|
| 5.0ms | x | @ | 0 | ((- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (+ (* 1/8 x) (- 1/2 y)) (neg y) y x (log 2) 2 (- (log (+ 1 (exp x))) (* x y)) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (* (* x x) 1/8) (* x x) 1/8 (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) 1/2 (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (+ (* 1/8 x) (- 1/2 y)) (- 1/2 y)) |
| 3.0ms | x | @ | -inf | ((- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (+ (* 1/8 x) (- 1/2 y)) (neg y) y x (log 2) 2 (- (log (+ 1 (exp x))) (* x y)) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (* (* x x) 1/8) (* x x) 1/8 (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) 1/2 (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (+ (* 1/8 x) (- 1/2 y)) (- 1/2 y)) |
| 3.0ms | x | @ | inf | ((- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (+ (* 1/8 x) (- 1/2 y)) (neg y) y x (log 2) 2 (- (log (+ 1 (exp x))) (* x y)) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (* (* x x) 1/8) (* x x) 1/8 (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) 1/2 (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (+ (* 1/8 x) (- 1/2 y)) (- 1/2 y)) |
| 3.0ms | y | @ | 0 | ((- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (+ (* 1/8 x) (- 1/2 y)) (neg y) y x (log 2) 2 (- (log (+ 1 (exp x))) (* x y)) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (* (* x x) 1/8) (* x x) 1/8 (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) 1/2 (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (+ (* 1/8 x) (- 1/2 y)) (- 1/2 y)) |
| 3.0ms | y | @ | -inf | ((- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (+ (* 1/8 x) (- 1/2 y)) (neg y) y x (log 2) 2 (- (log (+ 1 (exp x))) (* x y)) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (* (* x x) 1/8) (* x x) 1/8 (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) 1/2 (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (+ (* 1/8 x) (- 1/2 y)) (- 1/2 y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 203 | 1158 |
| 0 | 219 | 1098 |
| 1 | 1132 | 1090 |
| 0 | 8295 | 983 |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (+ (* 1/8 x) (- 1/2 y)) (neg.f64 y)) x (log.f64 #s(literal 2 binary64)))) |
(fma.f64 #s(approx (+ (* 1/8 x) (- 1/2 y)) (neg.f64 y)) x (log.f64 #s(literal 2 binary64))) |
#s(approx (+ (* 1/8 x) (- 1/2 y)) (neg.f64 y)) |
(neg.f64 y) |
y |
x |
(log.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#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 (+ (* (+ (* 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) |
#s(literal 1/8 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) |
#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(approx (- 1/2 y) #s(literal 1/2 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 (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (log 2))) |
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (+ (log 2) (* x (- 1/2 y))))) |
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y))))) |
#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 x #s(hole binary64 x)) |
#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 (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (log 2))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (+ (log 2) (* x (- 1/2 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 (+ (* (+ (* 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 (+ (* (- 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 (- (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 (+ (* (- 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))))) |
#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) (* x (+ 1/2 (* 1/8 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 (neg y) #s(hole binary64 (* -1 y))) |
#s(approx y #s(hole binary64 y)) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (+ (log 2) (* 1/2 x)))) |
#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 (* -1 (* x y)))) |
#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 (* -1 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) x) (log 2)) #s(hole binary64 (* -1 (* x y)))) |
#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 (* -1 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 (+ (* 1/8 x) (- 1/2 y)) #s(hole binary64 (* -1 (* y (+ 1 (* -1 (/ (+ 1/2 (* 1/8 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)) (fma.f64 #s(approx (+ (* 1/8 x) (- 1/2 y)) (neg.f64 y)) x (log.f64 #s(literal 2 binary64)))) |
(/.f64 (-.f64 (*.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64))) (*.f64 (*.f64 #s(approx (+ (* 1/8 x) (- 1/2 y)) (neg.f64 y)) #s(approx (+ (* 1/8 x) (- 1/2 y)) (neg.f64 y))) (*.f64 x x))) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(approx (+ (* 1/8 x) (- 1/2 y)) (neg.f64 y)) x))) |
(/.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 #s(approx (+ (* 1/8 x) (- 1/2 y)) (neg.f64 y)) #s(approx (+ (* 1/8 x) (- 1/2 y)) (neg.f64 y))) (*.f64 x x)) (*.f64 #s(approx (+ (* 1/8 x) (- 1/2 y)) (neg.f64 y)) x))) (fma.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64)) (-.f64 (*.f64 (*.f64 #s(approx (+ (* 1/8 x) (- 1/2 y)) (neg.f64 y)) #s(approx (+ (* 1/8 x) (- 1/2 y)) (neg.f64 y))) (*.f64 x x)) (*.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(approx (+ (* 1/8 x) (- 1/2 y)) (neg.f64 y)) x))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/8 x) (- 1/2 y)) (neg.f64 y)) x (log.f64 #s(literal 2 binary64))) (-.f64 (*.f64 #s(approx (+ (* 1/8 x) (- 1/2 y)) (neg.f64 y)) x) (log.f64 #s(literal 2 binary64))))) (neg.f64 (-.f64 (*.f64 #s(approx (+ (* 1/8 x) (- 1/2 y)) (neg.f64 y)) x) (log.f64 #s(literal 2 binary64))))) |
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(/.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/8 x) (- 1/2 y)) (neg.f64 y)) x (log.f64 #s(literal 2 binary64))) (-.f64 (*.f64 #s(approx (+ (* 1/8 x) (- 1/2 y)) (neg.f64 y)) x) (log.f64 #s(literal 2 binary64)))) (-.f64 (*.f64 #s(approx (+ (* 1/8 x) (- 1/2 y)) (neg.f64 y)) x) (log.f64 #s(literal 2 binary64)))) |
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(-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64)))) x)) |
(-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (neg.f64 x) (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x) #s(literal 3 binary64)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x) (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x) (-.f64 (*.f64 (log.f64 #s(literal 1/2 binary64)) (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 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x) (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x) (-.f64 (*.f64 (log.f64 #s(literal 1/2 binary64)) (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 (*.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)) |
(/.f64 (-.f64 (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) #s(approx (- 1/2 y) #s(literal 1/2 binary64))) (*.f64 #s(literal 1/64 binary64) (*.f64 x x))) (-.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/8 binary64) x))) |
(/.f64 (fma.f64 (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) #s(approx (- 1/2 y) #s(literal 1/2 binary64))) #s(approx (- 1/2 y) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/512 binary64) (*.f64 (*.f64 x x) x))) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) #s(approx (- 1/2 y) #s(literal 1/2 binary64)) (-.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 x x)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/8 binary64) x))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 x x)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) #s(approx (- 1/2 y) #s(literal 1/2 binary64))))) (neg.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) x) #s(approx (- 1/2 y) #s(literal 1/2 binary64))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/512 binary64) (*.f64 (*.f64 x x) x) (*.f64 (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) #s(approx (- 1/2 y) #s(literal 1/2 binary64))) #s(approx (- 1/2 y) #s(literal 1/2 binary64))))) (neg.f64 (fma.f64 #s(literal 1/64 binary64) (*.f64 x x) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) #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 (-.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 x x)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) #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 (fma.f64 #s(literal 1/512 binary64) (*.f64 (*.f64 x x) x) (*.f64 (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) #s(approx (- 1/2 y) #s(literal 1/2 binary64))) #s(approx (- 1/2 y) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 1/64 binary64) (*.f64 x x) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) #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)))))) |
(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 (*.f64 #s(literal 1/64 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal 1/8 binary64) x) #s(approx (- 1/2 y) #s(literal 1/2 binary64)))) (/.f64 (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) #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 (neg.f64 x) #s(literal 1/8 binary64))) |
(-.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/8 binary64) x)) |
(+.f64 (/.f64 (*.f64 #s(literal 1/512 binary64) (*.f64 (*.f64 x x) x)) (fma.f64 #s(literal 1/64 binary64) (*.f64 x x) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) #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 (*.f64 (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) #s(approx (- 1/2 y) #s(literal 1/2 binary64))) #s(approx (- 1/2 y) #s(literal 1/2 binary64))) (fma.f64 #s(literal 1/64 binary64) (*.f64 x x) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) #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)) |
(+.f64 (*.f64 #s(literal 1/8 binary64) x) #s(approx (- 1/2 y) #s(literal 1/2 binary64))) |
#s(approx (- 1/2 y) #s(literal 1/2 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 (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (log.f64 #s(literal 2 binary64))) |
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))) |
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (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 (+ (* 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 x x) |
#s(approx (* (* x x) 1/8) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))) |
#s(approx (* x x) (*.f64 x x)) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) (log.f64 #s(literal 2 binary64))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 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 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 (+ (* (- 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 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal -1/2 binary64)) y) x)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) (-.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (neg.f64 x)) (neg.f64 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 (+ (* (- 1/2 y) x) (log 2)) (*.f64 (neg.f64 x) (-.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) y)) (/.f64 (log.f64 #s(literal 2 binary64)) x)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 (-.f64 (exp.f64 x) #s(literal -1 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 (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (fma.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)) x) (log 2)) (-.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 y x)) (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal -1/2 binary64)) x))) |
#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)) (-.f64 (fma.f64 #s(literal 1/8 binary64) x (neg.f64 y)) #s(literal -1/2 binary64))) |
#s(approx (neg y) (neg.f64 y)) |
#s(approx y y) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64)))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) (-.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 y x)) (*.f64 #s(literal -1/2 binary64) x))) |
#s(approx (- 1/2 y) #s(literal 1/2 binary64)) |
#s(approx (- 1/2 y) (-.f64 (neg.f64 y) #s(literal -1/2 binary64))) |
#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 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 (+ (* 1/8 x) (- 1/2 y)) (neg.f64 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) x) (log 2)) (*.f64 (neg.f64 x) 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) (neg.f64 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 (-.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (neg.f64 y)) (neg.f64 x)) (neg.f64 y))) |
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.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)) (neg.f64 y))) |
#s(approx (+ (* 1/8 x) (- 1/2 y)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y)) (neg.f64 y))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) y)) (neg.f64 y))) |
#s(approx (- 1/2 y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y)) (neg.f64 y))) |
Compiled 1 880 to 626 computations (66.7% saved)
11 alts after pruning (4 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 132 | 3 | 135 |
| Fresh | 0 | 1 | 1 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 4 | 4 |
| Total | 134 | 11 | 145 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.2% | (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
| ✓ | 65.3% | (-.f64 (log.f64 #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)))) (*.f64 x y)) |
| ✓ | 88.6% | (-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y)) |
| ✓ | 50.4% | #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)))) |
| ✓ | 88.6% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (+ (* 1/8 x) (- 1/2 y)) (neg.f64 y)) x (log.f64 #s(literal 2 binary64)))) |
| ✓ | 51.8% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y)) |
| ▶ | 49.2% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))) |
| ✓ | 47.7% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64))) |
| ▶ | 48.6% | #s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))))) |
| ▶ | 79.0% | #s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) y)) (neg.f64 y)))) |
| ▶ | 33.2% | #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 167 to 167 computations (0% saved)
| Inputs |
|---|
#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 (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)) |
(*.f64 (-.f64 #s(literal 1/2 binary64) y) x) |
(-.f64 #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
y |
x |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) y)) (neg.f64 y)))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) y)) (neg.f64 y))) |
(*.f64 (-.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) y)) (neg.f64 y)) |
(-.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) y)) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) y) |
(fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) |
(log.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(neg.f64 y) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))) |
(log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) |
(-.f64 (exp.f64 x) #s(literal -1 binary64)) |
(exp.f64 x) |
#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 (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (log 2))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (+ (log 2) (* x (- 1/2 y))))) |
#s(approx (* (- 1/2 y) x) #s(hole binary64 (* x (- 1/2 y)))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (* (- x (/ (+ (* 1/2 x) (log 2)) y)) (neg y)) #s(hole binary64 (log 2))) |
#s(approx (* (- x (/ (+ (* 1/2 x) (log 2)) y)) (neg y)) #s(hole binary64 (+ (log 2) (* -1 (* x (* y (- 1 (* 1/2 (/ 1 y))))))))) |
#s(approx (- x (/ (+ (* 1/2 x) (log 2)) y)) #s(hole binary64 (* -1 (/ (log 2) y)))) |
#s(approx (- x (/ (+ (* 1/2 x) (log 2)) y)) #s(hole binary64 (- (* x (- 1 (* 1/2 (/ 1 y)))) (/ (log 2) y)))) |
#s(approx (/ (+ (* 1/2 x) (log 2)) y) #s(hole binary64 (/ (log 2) y))) |
#s(approx (/ (+ (* 1/2 x) (log 2)) y) #s(hole binary64 (+ (* 1/2 (/ x y)) (/ (log 2) y)))) |
#s(approx (+ (* 1/2 x) (log 2)) #s(hole binary64 (log 2))) |
#s(approx (+ (* 1/2 x) (log 2)) #s(hole binary64 (+ (log 2) (* 1/2 x)))) |
#s(approx (log (- (exp x) -1)) #s(hole binary64 (log 2))) |
#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 (- (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 (+ (* (- 1/2 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 (* (- x (/ (+ (* 1/2 x) (log 2)) y)) (neg y)) #s(hole binary64 (* -1 (* x (* y (- 1 (* 1/2 (/ 1 y)))))))) |
#s(approx (* (- x (/ (+ (* 1/2 x) (log 2)) y)) (neg y)) #s(hole binary64 (* x (+ (* -1 (* y (- 1 (* 1/2 (/ 1 y))))) (/ (log 2) x))))) |
#s(approx (- x (/ (+ (* 1/2 x) (log 2)) y)) #s(hole binary64 (* x (- 1 (* 1/2 (/ 1 y)))))) |
#s(approx (- x (/ (+ (* 1/2 x) (log 2)) y)) #s(hole binary64 (* x (- (+ 1 (* -1 (/ (log 2) (* x y)))) (* 1/2 (/ 1 y)))))) |
#s(approx (/ (+ (* 1/2 x) (log 2)) y) #s(hole binary64 (* 1/2 (/ x y)))) |
#s(approx (/ (+ (* 1/2 x) (log 2)) y) #s(hole binary64 (* x (+ (* 1/2 (/ 1 y)) (/ (log 2) (* x y)))))) |
#s(approx (+ (* 1/2 x) (log 2)) #s(hole binary64 (* 1/2 x))) |
#s(approx (+ (* 1/2 x) (log 2)) #s(hole binary64 (* x (+ 1/2 (/ (log 2) x))))) |
#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 (+ 1 (exp x))) (* x y)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y)))))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x))))))) |
#s(approx (* (- x (/ (+ (* 1/2 x) (log 2)) y)) (neg y)) #s(hole binary64 (* x (* y (- (* 1/2 (/ 1 y)) 1))))) |
#s(approx (* (- x (/ (+ (* 1/2 x) (log 2)) y)) (neg y)) #s(hole binary64 (* -1 (* x (+ (* -1 (* y (- (* 1/2 (/ 1 y)) 1))) (* -1 (/ (log 2) x))))))) |
#s(approx (- x (/ (+ (* 1/2 x) (log 2)) y)) #s(hole binary64 (* -1 (* x (- (* 1/2 (/ 1 y)) 1))))) |
#s(approx (- x (/ (+ (* 1/2 x) (log 2)) y)) #s(hole binary64 (* -1 (* x (- (+ (* 1/2 (/ 1 y)) (/ (log 2) (* x y))) 1))))) |
#s(approx (/ (+ (* 1/2 x) (log 2)) y) #s(hole binary64 (* -1 (* x (- (* -1 (/ (log 2) (* x y))) (* 1/2 (/ 1 y))))))) |
#s(approx (+ (* 1/2 x) (log 2)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (log 2) x)) 1/2))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (log (+ 1 (exp x))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log (+ 1 (exp x))) (* -1 (* x y))))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (+ (log 2) (* 1/2 x)))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (+ (log 2) (+ (* -1 (* x y)) (* 1/2 x))))) |
#s(approx (* (- 1/2 y) x) #s(hole binary64 (* 1/2 x))) |
#s(approx (* (- 1/2 y) x) #s(hole binary64 (+ (* -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 y #s(hole binary64 y)) |
#s(approx (* (- x (/ (+ (* 1/2 x) (log 2)) y)) (neg y)) #s(hole binary64 (+ (log 2) (* 1/2 x)))) |
#s(approx (* (- x (/ (+ (* 1/2 x) (log 2)) y)) (neg y)) #s(hole binary64 (+ (log 2) (+ (* -1 (* x y)) (* 1/2 x))))) |
#s(approx (- x (/ (+ (* 1/2 x) (log 2)) y)) #s(hole binary64 (* -1 (/ (+ (log 2) (* 1/2 x)) y)))) |
#s(approx (- x (/ (+ (* 1/2 x) (log 2)) y)) #s(hole binary64 (/ (- (* x y) (+ (log 2) (* 1/2 x))) y))) |
#s(approx (/ (+ (* 1/2 x) (log 2)) y) #s(hole binary64 (/ (+ (log 2) (* 1/2 x)) y))) |
#s(approx (neg y) #s(hole binary64 (* -1 y))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* y (- (/ (log (+ 1 (exp x))) y) x)))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (* -1 (* x y)))) |
#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) x) #s(hole binary64 (* -1 (* x y)))) |
#s(approx (* (- 1/2 y) x) #s(hole binary64 (* y (+ (* -1 x) (* 1/2 (/ x y)))))) |
#s(approx (- 1/2 y) #s(hole binary64 (* -1 y))) |
#s(approx (- 1/2 y) #s(hole binary64 (* y (- (* 1/2 (/ 1 y)) 1)))) |
#s(approx (* (- x (/ (+ (* 1/2 x) (log 2)) y)) (neg y)) #s(hole binary64 (* -1 (* x y)))) |
#s(approx (* (- x (/ (+ (* 1/2 x) (log 2)) y)) (neg y)) #s(hole binary64 (* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y)))))) |
#s(approx (- x (/ (+ (* 1/2 x) (log 2)) y)) #s(hole binary64 x)) |
#s(approx (- x (/ (+ (* 1/2 x) (log 2)) y)) #s(hole binary64 (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x)))))) |
#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) x) #s(hole binary64 (* -1 (* y (+ x (* -1/2 (/ x y))))))) |
#s(approx (- 1/2 y) #s(hole binary64 (* -1 (* y (- 1 (* 1/2 (/ 1 y))))))) |
#s(approx (* (- x (/ (+ (* 1/2 x) (log 2)) y)) (neg y)) #s(hole binary64 (* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y))))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 29.0ms | y | @ | inf | ((- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- 1/2 y) x) (- 1/2 y) 1/2 y x (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- x (/ (+ (* 1/2 x) (log 2)) y)) (neg y)) (- x (/ (+ (* 1/2 x) (log 2)) y)) (/ (+ (* 1/2 x) (log 2)) y) (+ (* 1/2 x) (log 2)) (log 2) 2 (neg y) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- (log (+ 1 (exp x))) (* x y)) (log (- (exp x) -1)) (- (exp x) -1) (exp x) -1) |
| 14.0ms | y | @ | -inf | ((- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- 1/2 y) x) (- 1/2 y) 1/2 y x (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- x (/ (+ (* 1/2 x) (log 2)) y)) (neg y)) (- x (/ (+ (* 1/2 x) (log 2)) y)) (/ (+ (* 1/2 x) (log 2)) y) (+ (* 1/2 x) (log 2)) (log 2) 2 (neg y) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- (log (+ 1 (exp x))) (* x y)) (log (- (exp x) -1)) (- (exp x) -1) (exp x) -1) |
| 14.0ms | y | @ | 0 | ((- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- 1/2 y) x) (- 1/2 y) 1/2 y x (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- x (/ (+ (* 1/2 x) (log 2)) y)) (neg y)) (- x (/ (+ (* 1/2 x) (log 2)) y)) (/ (+ (* 1/2 x) (log 2)) y) (+ (* 1/2 x) (log 2)) (log 2) 2 (neg y) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- (log (+ 1 (exp x))) (* x y)) (log (- (exp x) -1)) (- (exp x) -1) (exp x) -1) |
| 9.0ms | x | @ | -inf | ((- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- 1/2 y) x) (- 1/2 y) 1/2 y x (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- x (/ (+ (* 1/2 x) (log 2)) y)) (neg y)) (- x (/ (+ (* 1/2 x) (log 2)) y)) (/ (+ (* 1/2 x) (log 2)) y) (+ (* 1/2 x) (log 2)) (log 2) 2 (neg y) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- (log (+ 1 (exp x))) (* x y)) (log (- (exp x) -1)) (- (exp x) -1) (exp x) -1) |
| 9.0ms | x | @ | inf | ((- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- 1/2 y) x) (- 1/2 y) 1/2 y x (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- x (/ (+ (* 1/2 x) (log 2)) y)) (neg y)) (- x (/ (+ (* 1/2 x) (log 2)) y)) (/ (+ (* 1/2 x) (log 2)) y) (+ (* 1/2 x) (log 2)) (log 2) 2 (neg y) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- (log (+ 1 (exp x))) (* x y)) (log (- (exp x) -1)) (- (exp x) -1) (exp x) -1) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 248 | 1584 |
| 0 | 268 | 1490 |
| 1 | 1227 | 1472 |
| 0 | 8270 | 1373 |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
#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 (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)) |
(*.f64 (-.f64 #s(literal 1/2 binary64) y) x) |
(-.f64 #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
y |
x |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) y)) (neg.f64 y)))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) y)) (neg.f64 y))) |
(*.f64 (-.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) y)) (neg.f64 y)) |
(-.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) y)) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) y) |
(fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) |
(log.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(neg.f64 y) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))) |
(log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) |
(-.f64 (exp.f64 x) #s(literal -1 binary64)) |
(exp.f64 x) |
#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 (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (log 2))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (+ (log 2) (* x (- 1/2 y))))) |
#s(approx (* (- 1/2 y) x) #s(hole binary64 (* x (- 1/2 y)))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (* (- x (/ (+ (* 1/2 x) (log 2)) y)) (neg y)) #s(hole binary64 (log 2))) |
#s(approx (* (- x (/ (+ (* 1/2 x) (log 2)) y)) (neg y)) #s(hole binary64 (+ (log 2) (* -1 (* x (* y (- 1 (* 1/2 (/ 1 y))))))))) |
#s(approx (- x (/ (+ (* 1/2 x) (log 2)) y)) #s(hole binary64 (* -1 (/ (log 2) y)))) |
#s(approx (- x (/ (+ (* 1/2 x) (log 2)) y)) #s(hole binary64 (- (* x (- 1 (* 1/2 (/ 1 y)))) (/ (log 2) y)))) |
#s(approx (/ (+ (* 1/2 x) (log 2)) y) #s(hole binary64 (/ (log 2) y))) |
#s(approx (/ (+ (* 1/2 x) (log 2)) y) #s(hole binary64 (+ (* 1/2 (/ x y)) (/ (log 2) y)))) |
#s(approx (+ (* 1/2 x) (log 2)) #s(hole binary64 (log 2))) |
#s(approx (+ (* 1/2 x) (log 2)) #s(hole binary64 (+ (log 2) (* 1/2 x)))) |
#s(approx (log (- (exp x) -1)) #s(hole binary64 (log 2))) |
#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 (- (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 (+ (* (- 1/2 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 (* (- x (/ (+ (* 1/2 x) (log 2)) y)) (neg y)) #s(hole binary64 (* -1 (* x (* y (- 1 (* 1/2 (/ 1 y)))))))) |
#s(approx (* (- x (/ (+ (* 1/2 x) (log 2)) y)) (neg y)) #s(hole binary64 (* x (+ (* -1 (* y (- 1 (* 1/2 (/ 1 y))))) (/ (log 2) x))))) |
#s(approx (- x (/ (+ (* 1/2 x) (log 2)) y)) #s(hole binary64 (* x (- 1 (* 1/2 (/ 1 y)))))) |
#s(approx (- x (/ (+ (* 1/2 x) (log 2)) y)) #s(hole binary64 (* x (- (+ 1 (* -1 (/ (log 2) (* x y)))) (* 1/2 (/ 1 y)))))) |
#s(approx (/ (+ (* 1/2 x) (log 2)) y) #s(hole binary64 (* 1/2 (/ x y)))) |
#s(approx (/ (+ (* 1/2 x) (log 2)) y) #s(hole binary64 (* x (+ (* 1/2 (/ 1 y)) (/ (log 2) (* x y)))))) |
#s(approx (+ (* 1/2 x) (log 2)) #s(hole binary64 (* 1/2 x))) |
#s(approx (+ (* 1/2 x) (log 2)) #s(hole binary64 (* x (+ 1/2 (/ (log 2) x))))) |
#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 (+ 1 (exp x))) (* x y)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y)))))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x))))))) |
#s(approx (* (- x (/ (+ (* 1/2 x) (log 2)) y)) (neg y)) #s(hole binary64 (* x (* y (- (* 1/2 (/ 1 y)) 1))))) |
#s(approx (* (- x (/ (+ (* 1/2 x) (log 2)) y)) (neg y)) #s(hole binary64 (* -1 (* x (+ (* -1 (* y (- (* 1/2 (/ 1 y)) 1))) (* -1 (/ (log 2) x))))))) |
#s(approx (- x (/ (+ (* 1/2 x) (log 2)) y)) #s(hole binary64 (* -1 (* x (- (* 1/2 (/ 1 y)) 1))))) |
#s(approx (- x (/ (+ (* 1/2 x) (log 2)) y)) #s(hole binary64 (* -1 (* x (- (+ (* 1/2 (/ 1 y)) (/ (log 2) (* x y))) 1))))) |
#s(approx (/ (+ (* 1/2 x) (log 2)) y) #s(hole binary64 (* -1 (* x (- (* -1 (/ (log 2) (* x y))) (* 1/2 (/ 1 y))))))) |
#s(approx (+ (* 1/2 x) (log 2)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (log 2) x)) 1/2))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (log (+ 1 (exp x))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log (+ 1 (exp x))) (* -1 (* x y))))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (+ (log 2) (* 1/2 x)))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (+ (log 2) (+ (* -1 (* x y)) (* 1/2 x))))) |
#s(approx (* (- 1/2 y) x) #s(hole binary64 (* 1/2 x))) |
#s(approx (* (- 1/2 y) x) #s(hole binary64 (+ (* -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 y #s(hole binary64 y)) |
#s(approx (* (- x (/ (+ (* 1/2 x) (log 2)) y)) (neg y)) #s(hole binary64 (+ (log 2) (* 1/2 x)))) |
#s(approx (* (- x (/ (+ (* 1/2 x) (log 2)) y)) (neg y)) #s(hole binary64 (+ (log 2) (+ (* -1 (* x y)) (* 1/2 x))))) |
#s(approx (- x (/ (+ (* 1/2 x) (log 2)) y)) #s(hole binary64 (* -1 (/ (+ (log 2) (* 1/2 x)) y)))) |
#s(approx (- x (/ (+ (* 1/2 x) (log 2)) y)) #s(hole binary64 (/ (- (* x y) (+ (log 2) (* 1/2 x))) y))) |
#s(approx (/ (+ (* 1/2 x) (log 2)) y) #s(hole binary64 (/ (+ (log 2) (* 1/2 x)) y))) |
#s(approx (neg y) #s(hole binary64 (* -1 y))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* y (- (/ (log (+ 1 (exp x))) y) x)))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (* -1 (* x y)))) |
#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) x) #s(hole binary64 (* -1 (* x y)))) |
#s(approx (* (- 1/2 y) x) #s(hole binary64 (* y (+ (* -1 x) (* 1/2 (/ x y)))))) |
#s(approx (- 1/2 y) #s(hole binary64 (* -1 y))) |
#s(approx (- 1/2 y) #s(hole binary64 (* y (- (* 1/2 (/ 1 y)) 1)))) |
#s(approx (* (- x (/ (+ (* 1/2 x) (log 2)) y)) (neg y)) #s(hole binary64 (* -1 (* x y)))) |
#s(approx (* (- x (/ (+ (* 1/2 x) (log 2)) y)) (neg y)) #s(hole binary64 (* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y)))))) |
#s(approx (- x (/ (+ (* 1/2 x) (log 2)) y)) #s(hole binary64 x)) |
#s(approx (- x (/ (+ (* 1/2 x) (log 2)) y)) #s(hole binary64 (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x)))))) |
#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) x) #s(hole binary64 (* -1 (* y (+ x (* -1/2 (/ x y))))))) |
#s(approx (- 1/2 y) #s(hole binary64 (* -1 (* y (- 1 (* 1/2 (/ 1 y))))))) |
#s(approx (* (- x (/ (+ (* 1/2 x) (log 2)) y)) (neg y)) #s(hole binary64 (* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y))))))) |
| Outputs |
|---|
#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 (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)) |
(*.f64 (-.f64 #s(literal 1/2 binary64) y) x) |
(*.f64 x (-.f64 #s(literal 1/2 binary64) y)) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y))) (neg.f64 (+.f64 #s(literal 1/2 binary64) y))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 y y) y))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (fma.f64 y y (*.f64 #s(literal 1/2 binary64) y))))) |
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) (+.f64 #s(literal 1/2 binary64) y)) |
(/.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 y y) y)) (+.f64 #s(literal 1/4 binary64) (fma.f64 y y (*.f64 #s(literal 1/2 binary64) y)))) |
(-.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) y)) (/.f64 (*.f64 y y) (+.f64 #s(literal 1/2 binary64) y))) |
(-.f64 (/.f64 #s(literal 1/8 binary64) (+.f64 #s(literal 1/4 binary64) (fma.f64 y y (*.f64 #s(literal 1/2 binary64) y)))) (/.f64 (*.f64 (*.f64 y y) y) (+.f64 #s(literal 1/4 binary64) (fma.f64 y y (*.f64 #s(literal 1/2 binary64) y))))) |
(-.f64 #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
y |
x |
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(-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) |
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (*.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) y))) |
(+.f64 (*.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) y)) (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) |
(+.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/8 binary64)) (*.f64 (*.f64 y y) y)) (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) #s(literal 1/4 binary64) (-.f64 (/.f64 (*.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64))) (*.f64 y y)) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (log.f64 #s(literal 2 binary64))) (*.f64 y y))))) (/.f64 (pow.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) #s(literal 3 binary64)) (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) #s(literal 1/4 binary64) (-.f64 (/.f64 (*.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64))) (*.f64 y y)) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (log.f64 #s(literal 2 binary64))) (*.f64 y y)))))) |
(+.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) (/.f64 (log.f64 #s(literal 2 binary64)) y)) |
(+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 3 binary64))) (fma.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) x))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64))) (*.f64 #s(literal 1/4 binary64) (*.f64 x x)))) (neg.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))))) (neg.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) (log.f64 #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/8 binary64)))) (neg.f64 (fma.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 (log.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) x)))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/8 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (fma.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) x) (log.f64 #s(literal 2 binary64))))))) |
(/.f64 (-.f64 (*.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64))) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x))) |
(/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) (log.f64 #s(literal 2 binary64)))) |
(/.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/8 binary64))) (fma.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 (log.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) x))))) |
(/.f64 (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/8 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (fma.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) x) (log.f64 #s(literal 2 binary64)))))) |
(fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) |
(fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))) |
(-.f64 (/.f64 (*.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64))) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x))) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x)))) |
(-.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) (log.f64 #s(literal 2 binary64)))) (/.f64 (*.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) (log.f64 #s(literal 2 binary64))))) |
(-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (neg.f64 x) #s(literal 1/2 binary64))) |
(-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) x)) |
(+.f64 (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 (log.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) x))))) (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/8 binary64)) (fma.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 (log.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) x)))))) |
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (fma.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) x) (log.f64 #s(literal 2 binary64)))))) (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (fma.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) x) (log.f64 #s(literal 2 binary64))))))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (log.f64 #s(literal 2 binary64))) |
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x)) |
(log.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(*.f64 #s(literal -1 binary64) y) |
(*.f64 y #s(literal -1 binary64)) |
(neg.f64 (*.f64 y #s(literal 1 binary64))) |
(neg.f64 (neg.f64 (neg.f64 y))) |
(neg.f64 y) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))) |
(log1p.f64 (exp.f64 x)) |
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (log.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)))) |
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64))))) (log.f64 (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (+.f64 #s(literal 0 binary64) x)))))) |
(-.f64 (log.f64 (expm1.f64 (+.f64 x x))) (log.f64 (+.f64 (exp.f64 x) #s(literal -1 binary64)))) |
(-.f64 (log.f64 (-.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -1 binary64))) (log.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) #s(literal -1 binary64)))))) |
(log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) |
(/.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (+.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)))) |
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64))))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (+.f64 #s(literal 0 binary64) x)))))) |
(/.f64 (neg.f64 (expm1.f64 (+.f64 x x))) (neg.f64 (+.f64 (exp.f64 x) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (-.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -1 binary64))) (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) #s(literal -1 binary64)))))) |
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) |
(/.f64 (expm1.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal -1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (-.f64 #s(literal 1 binary64) (exp.f64 x))) |
(/.f64 (-.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) #s(literal -1 binary64))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (+.f64 #s(literal 0 binary64) x))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (/.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (exp.f64 x)))) |
(-.f64 (/.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -1 binary64)))) |
(-.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) #s(literal -1 binary64))))) (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) #s(literal -1 binary64)))))) |
(-.f64 (exp.f64 x) #s(literal -1 binary64)) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (+.f64 #s(literal 0 binary64) x))))) (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (+.f64 #s(literal 0 binary64) x)))))) |
(+.f64 (exp.f64 x) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (exp.f64 x)) |
(/.f64 (-.f64 (*.f64 (cosh.f64 x) (cosh.f64 x)) (*.f64 (sinh.f64 x) (sinh.f64 x))) (-.f64 (cosh.f64 x) (sinh.f64 x))) |
(/.f64 (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) (fma.f64 (cosh.f64 x) (cosh.f64 x) (-.f64 (*.f64 (sinh.f64 x) (sinh.f64 x)) (*.f64 (cosh.f64 x) (sinh.f64 x))))) |
(exp.f64 x) |
(+.f64 (cosh.f64 x) (sinh.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 (-.f64 (fma.f64 #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))) (* 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 (+ (* (- 1/2 y) x) (log 2)) (log.f64 #s(literal 2 binary64))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))) |
#s(approx (* (- 1/2 y) x) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)) |
#s(approx x x) |
#s(approx (* (- x (/ (+ (* 1/2 x) (log 2)) y)) (neg y)) (log.f64 #s(literal 2 binary64))) |
#s(approx (* (- x (/ (+ (* 1/2 x) (log 2)) y)) (neg y)) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y)) y) x))) |
#s(approx (- x (/ (+ (* 1/2 x) (log 2)) y)) (/.f64 (log.f64 #s(literal 1/2 binary64)) y)) |
#s(approx (- x (/ (+ (* 1/2 x) (log 2)) y)) (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y)) x) (/.f64 (log.f64 #s(literal 2 binary64)) y))) |
#s(approx (/ (+ (* 1/2 x) (log 2)) y) (/.f64 (log.f64 #s(literal 2 binary64)) y)) |
#s(approx (/ (+ (* 1/2 x) (log 2)) y) (/.f64 (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) y)) |
#s(approx (+ (* 1/2 x) (log 2)) (log.f64 #s(literal 2 binary64))) |
#s(approx (+ (* 1/2 x) (log 2)) (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64)))) |
#s(approx (log (- (exp x) -1)) (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 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 (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal -1/2 binary64)) y) x)) |
#s(approx (* (- x (/ (+ (* 1/2 x) (log 2)) y)) (neg y)) (*.f64 (neg.f64 x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y)) y))) |
#s(approx (* (- x (/ (+ (* 1/2 x) (log 2)) y)) (neg y)) (*.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y)) y)) x)) |
#s(approx (- x (/ (+ (* 1/2 x) (log 2)) y)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y)) x)) |
#s(approx (- x (/ (+ (* 1/2 x) (log 2)) y)) (*.f64 (-.f64 (-.f64 (/.f64 (log.f64 #s(literal 1/2 binary64)) (*.f64 y x)) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) y)) x)) |
#s(approx (/ (+ (* 1/2 x) (log 2)) y) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (* 1/2 x) (log 2)) y) (*.f64 (/.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal -1/2 binary64)) y) x)) |
#s(approx (+ (* 1/2 x) (log 2)) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (+ (* 1/2 x) (log 2)) (*.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal -1/2 binary64)) 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 (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) (-.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (neg.f64 x)) (neg.f64 y)))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (neg.f64 x) (-.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) y)) (/.f64 (log.f64 #s(literal 2 binary64)) x)))) |
#s(approx (* (- x (/ (+ (* 1/2 x) (log 2)) y)) (neg y)) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y) x)) |
#s(approx (* (- x (/ (+ (* 1/2 x) (log 2)) y)) (neg y)) (*.f64 (neg.f64 (-.f64 (/.f64 (log.f64 #s(literal 1/2 binary64)) x) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y))) x)) |
#s(approx (- x (/ (+ (* 1/2 x) (log 2)) y)) (*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)))) |
#s(approx (- x (/ (+ (* 1/2 x) (log 2)) y)) (*.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal -1/2 binary64)) y) #s(literal 1 binary64)))) |
#s(approx (/ (+ (* 1/2 x) (log 2)) y) (*.f64 (neg.f64 (-.f64 (/.f64 (log.f64 #s(literal 1/2 binary64)) (*.f64 y x)) (/.f64 #s(literal 1/2 binary64) y))) x)) |
#s(approx (+ (* 1/2 x) (log 2)) (*.f64 (neg.f64 x) (-.f64 (/.f64 (log.f64 #s(literal 1/2 binary64)) x) #s(literal 1/2 binary64)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 (-.f64 (exp.f64 x) #s(literal -1 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 (+ (* (- 1/2 y) x) (log 2)) (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64)))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) (-.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 y x)) (*.f64 #s(literal -1/2 binary64) x))) |
#s(approx (* (- 1/2 y) x) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (* (- 1/2 y) x) (-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 y x))) |
#s(approx (- 1/2 y) #s(literal 1/2 binary64)) |
#s(approx (- 1/2 y) (-.f64 (neg.f64 y) #s(literal -1/2 binary64))) |
#s(approx y y) |
#s(approx (* (- x (/ (+ (* 1/2 x) (log 2)) y)) (neg y)) (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64)))) |
#s(approx (* (- x (/ (+ (* 1/2 x) (log 2)) y)) (neg y)) (-.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 y x)) (*.f64 #s(literal -1/2 binary64) x))) |
#s(approx (- x (/ (+ (* 1/2 x) (log 2)) y)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x (log.f64 #s(literal 1/2 binary64))) y)) |
#s(approx (- x (/ (+ (* 1/2 x) (log 2)) y)) (/.f64 (-.f64 (*.f64 y x) (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64)))) y)) |
#s(approx (/ (+ (* 1/2 x) (log 2)) y) (/.f64 (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) y)) |
#s(approx (neg y) (neg.f64 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 (+ (* (- 1/2 y) x) (log 2)) (*.f64 (neg.f64 x) 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) x) (*.f64 (neg.f64 x) y)) |
#s(approx (* (- 1/2 y) x) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (neg.f64 x)) y)) |
#s(approx (- 1/2 y) (neg.f64 y)) |
#s(approx (- 1/2 y) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y)) |
#s(approx (* (- x (/ (+ (* 1/2 x) (log 2)) y)) (neg y)) (*.f64 (neg.f64 x) y)) |
#s(approx (* (- x (/ (+ (* 1/2 x) (log 2)) y)) (neg y)) (*.f64 (+.f64 (neg.f64 x) (/.f64 (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) y)) y)) |
#s(approx (- x (/ (+ (* 1/2 x) (log 2)) y)) x) |
#s(approx (- x (/ (+ (* 1/2 x) (log 2)) y)) (-.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) y))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (-.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (neg.f64 y)) (neg.f64 x)) (neg.f64 y))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (neg.f64 y) (-.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) y)))) |
#s(approx (* (- 1/2 y) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) x) (neg.f64 y))) |
#s(approx (- 1/2 y) (*.f64 (neg.f64 y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y)))) |
#s(approx (* (- x (/ (+ (* 1/2 x) (log 2)) y)) (neg y)) (*.f64 (neg.f64 y) (-.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) y)))) |
Compiled 2 903 to 1 215 computations (58.1% saved)
12 alts after pruning (5 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 241 | 5 | 246 |
| Fresh | 0 | 0 | 0 |
| Picked | 2 | 2 | 4 |
| Done | 2 | 5 | 7 |
| Total | 245 | 12 | 257 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 88.6% | (-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y)) |
| ✓ | 50.4% | #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)))) |
| ✓ | 88.6% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (+ (* 1/8 x) (- 1/2 y)) (neg.f64 y)) x (log.f64 #s(literal 2 binary64)))) |
| ✓ | 51.8% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y)) |
| 49.3% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 x))) | |
| ✓ | 49.2% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))) |
| 47.7% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #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))))) | |
| 47.2% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(approx (- (exp x) -1) (+.f64 #s(literal 2 binary64) x)))) | |
| ✓ | 47.7% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64))) |
| ✓ | 48.6% | #s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))))) |
| 48.5% | #s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- x (/ (+ (* 1/2 x) (log 2)) y)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x (log.f64 #s(literal 1/2 binary64))) y)) (neg.f64 y)))) | |
| 3.9% | #s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x))) |
Compiled 363 to 298 computations (17.9% saved)
| Inputs |
|---|
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x))) |
#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)) (log.f64 #s(approx (- (exp x) -1) (+.f64 #s(literal 2 binary64) x)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (fma.f64 #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)) (fma.f64 #s(approx (+ (* 1/8 x) (- 1/2 y)) (neg.f64 y)) x (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 #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 #s(approx (- x (/ (+ (* 1/2 x) (log 2)) y)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x (log.f64 #s(literal 1/2 binary64))) y)) (neg.f64 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)) (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 x))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) y)) (neg.f64 y)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #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))))) |
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) |
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
(-.f64 (log.f64 #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)))) (*.f64 x y)) |
| Outputs |
|---|
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
3 calls:
| 5.0ms | y |
| 5.0ms | x |
| 5.0ms | (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.2% | 1 | (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) |
| 99.2% | 1 | x |
| 99.2% | 1 | y |
Compiled 10 to 12 computations (-20% saved)
| Inputs |
|---|
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x))) |
#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)) (log.f64 #s(approx (- (exp x) -1) (+.f64 #s(literal 2 binary64) x)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (fma.f64 #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)) (fma.f64 #s(approx (+ (* 1/8 x) (- 1/2 y)) (neg.f64 y)) x (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 #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 #s(approx (- x (/ (+ (* 1/2 x) (log 2)) y)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x (log.f64 #s(literal 1/2 binary64))) y)) (neg.f64 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)) (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 x))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) y)) (neg.f64 y)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #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))))) |
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) |
| Outputs |
|---|
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) |
3 calls:
| 6.0ms | y |
| 5.0ms | x |
| 4.0ms | (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.1% | 1 | (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) |
| 99.1% | 1 | x |
| 99.1% | 1 | y |
Compiled 10 to 12 computations (-20% saved)
| Inputs |
|---|
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x))) |
#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)) (log.f64 #s(approx (- (exp x) -1) (+.f64 #s(literal 2 binary64) x)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (fma.f64 #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)) (fma.f64 #s(approx (+ (* 1/8 x) (- 1/2 y)) (neg.f64 y)) x (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 #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 #s(approx (- x (/ (+ (* 1/2 x) (log 2)) y)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x (log.f64 #s(literal 1/2 binary64))) y)) (neg.f64 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)) (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 x))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) y)) (neg.f64 y)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #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))))) |
| 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:
| 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 |
|---|---|---|
| 97.1% | 2 | (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) |
| 98.6% | 2 | x |
| 88.6% | 1 | y |
Compiled 10 to 12 computations (-20% saved)
| Inputs |
|---|
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x))) |
#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)) (log.f64 #s(approx (- (exp x) -1) (+.f64 #s(literal 2 binary64) x)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (fma.f64 #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)) (fma.f64 #s(approx (+ (* 1/8 x) (- 1/2 y)) (neg.f64 y)) x (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 #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 #s(approx (- x (/ (+ (* 1/2 x) (log 2)) y)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x (log.f64 #s(literal 1/2 binary64))) y)) (neg.f64 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:
| 4.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.2% | 2 | x |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x))) |
#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)) (log.f64 #s(approx (- (exp x) -1) (+.f64 #s(literal 2 binary64) x)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (fma.f64 #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)) (fma.f64 #s(approx (+ (* 1/8 x) (- 1/2 y)) (neg.f64 y)) 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 (+ (* 1/8 x) (- 1/2 y)) (neg.f64 y)) x (log.f64 #s(literal 2 binary64)))) |
1 calls:
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.7% | 2 | x |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x))) |
#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)) (log.f64 #s(approx (- (exp x) -1) (+.f64 #s(literal 2 binary64) x)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (fma.f64 #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)) |
| 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:
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.6% | 2 | x |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x))) |
#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)) (log.f64 #s(approx (- (exp x) -1) (+.f64 #s(literal 2 binary64) x)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (fma.f64 #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)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (fma.f64 #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:
| 3.0ms | x |
| 2.0ms | (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.5% | 3 | (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) |
| 82.4% | 2 | x |
Compiled 9 to 10 computations (-11.1% saved)
| Inputs |
|---|
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x))) |
#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)) (log.f64 #s(approx (- (exp x) -1) (+.f64 #s(literal 2 binary64) x)))) |
| 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(approx (- (exp x) -1) (+.f64 #s(literal 2 binary64) x)))) |
#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 |
|---|---|---|
| 96.4% | 3 | (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) |
Compiled 8 to 8 computations (0% saved)
| Inputs |
|---|
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x))) |
#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 |
|---|---|---|
| 96.0% | 3 | (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) |
Compiled 8 to 8 computations (0% saved)
| Inputs |
|---|
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x))) |
#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 |
|---|---|---|
| 51.8% | 1 | x |
| 51.8% | 1 | y |
| 51.8% | 1 | (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) |
Compiled 10 to 12 computations (-20% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x))) |
| Outputs |
|---|
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x))) |
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 |
|---|---|---|
| 3.9% | 1 | (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) |
| 3.9% | 1 | x |
| 3.9% | 1 | y |
Compiled 10 to 12 computations (-20% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 8.0ms | -168711385.23249218 | -13927306.554980641 |
| 4.0ms | 96× | 0 | valid |
Compiled 174 to 185 computations (-6.3% saved)
ival-exp: 1.0ms (41.6% of total)ival-log1p: 1.0ms (41.6% of total)ival-mult!: 1.0ms (41.6% of total)ival-sub!: 0.0ms (0% of total)adjust: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 8.0ms | -9.663405095945034 | -0.6770460495596237 |
| 5.0ms | 96× | 0 | valid |
Compiled 162 to 173 computations (-6.8% saved)
ival-exp: 1.0ms (35.6% of total)ival-log1p: 1.0ms (35.6% of total)ival-mult!: 1.0ms (35.6% of total)ival-sub!: 0.0ms (0% of total)adjust: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | -168711385.23249218 | -13927306.554980641 |
Compiled 192 to 203 computations (-5.7% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -168711385.23249218 | -13927306.554980641 |
Compiled 138 to 149 computations (-8% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.6967717196447463 | 4394.418703685594 |
| 0.0ms | 6.356567853528099e-5 | 0.4108610082569596 |
Compiled 11 to 13 computations (-18.2% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.6967717196447463 | 4394.418703685594 |
| 0.0ms | 6.356567853528099e-5 | 0.4108610082569596 |
Compiled 11 to 13 computations (-18.2% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.6967717196447463 | 4394.418703685594 |
| 0.0ms | 2.1836177779043124e-27 | 6.356567853528099e-5 |
Compiled 11 to 13 computations (-18.2% saved)
| 1× | fuel |
Compiled 123 to 78 computations (36.6% saved)
Compiled 152 to 104 computations (31.6% saved)
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