
Time bar (total: 2.6s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 2 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 3 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 4 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 5 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 6 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 7 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 8 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 9 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 10 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 11 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 11 to 8 computations (27.3% saved)
| 554.0ms | 8 256× | 0 | valid |
| 258.0ms | 2 774× | 1 | exit |
ival-log1p: 132.0ms (28.4% of total)ival-mult!: 127.0ms (27.3% of total)ival-exp: 124.0ms (26.7% of total)adjust: 56.0ms (12% of total)ival-sub!: 26.0ms (5.6% of total)Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 59 |
| 1 | 82 | 58 |
| 2 | 232 | 58 |
| 3 | 927 | 58 |
| 1× | node-limit |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.6% | (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) |
Compiled 18 to 16 computations (11.1% saved)
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 95 | 344 |
| 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 |
| Outputs |
|---|
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x)) y)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/192 binary64) (pow.f64 x #s(literal 2 binary64)))))) y)))) |
#s(approx (log (+ 1 (exp x))) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x))) |
#s(approx (log (+ 1 (exp x))) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x))))) |
#s(approx (log (+ 1 (exp x))) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/192 binary64) (pow.f64 x #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)) (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))))) |
#s(approx (+ 1 (exp x)) (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))))))) |
#s(approx (exp x) #s(literal 1 binary64)) |
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) |
#s(approx (exp x) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))))) |
#s(approx (exp x) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))))))) |
#s(approx x x) |
#s(approx (* x y) (*.f64 x y)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 #s(literal -1 binary64) (*.f64 x y))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (-.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x) y))) |
#s(approx (log (+ 1 (exp x))) (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))) |
#s(approx (+ 1 (exp x)) (+.f64 #s(literal 1 binary64) (exp.f64 x))) |
#s(approx (exp x) (exp.f64 x)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x)) (*.f64 #s(literal -1 binary64) y))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 #s(literal -1 binary64) (*.f64 x y)))) |
#s(approx y y) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 y (-.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y) x))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y)) (*.f64 #s(literal -1 binary64) x))))) |
6 calls:
| Time | Variable | Point |
|---|---|---|
| 28.0ms | x | inf |
| 27.0ms | x | -inf |
| 4.0ms | y | 0 |
| 2.0ms | y | -inf |
| 2.0ms | y | inf |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 26 |
| 0 | 13 | 26 |
| 1 | 62 | 26 |
| 0 | 559 | 22 |
| 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 |
| Outputs |
|---|
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 y) x) (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))) (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y x) (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))) (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 (*.f64 (*.f64 y x) y) x)) (/.f64 #s(literal 1 binary64) (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 (*.f64 y x) y) x) (*.f64 y x))) (/.f64 #s(literal 1 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 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 (*.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)) (pow.f64 (*.f64 (neg.f64 y) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 y x) y) x) (*.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (*.f64 (neg.f64 y) x))))) |
(/.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 (*.f64 y x) y) x) (*.f64 y 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 (*.f64 y x) y) x) (*.f64 y 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 #s(literal 1 binary64) (/.f64 (fma.f64 y x (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))) (-.f64 (pow.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 y x) y) x)))) |
(/.f64 #s(literal 1 binary64) (/.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 (pow.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 y x) y) x) (*.f64 y x))))) |
(neg.f64 (-.f64 (*.f64 y x) (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 (neg.f64 x) y (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 (*.f64 y x) y) x) (*.f64 y 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 (neg.f64 (neg.f64 x)) y)) |
(-.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (neg.f64 (*.f64 (neg.f64 y) x))) |
(-.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (*.f64 y x)) |
(+.f64 (*.f64 (neg.f64 y) x) (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))) |
(+.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (*.f64 (neg.f64 y) x)) |
(log.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y x) (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))))) |
(log1p.f64 (neg.f64 (neg.f64 (exp.f64 x)))) |
(log1p.f64 (exp.f64 x)) |
(-.f64 (log.f64 (neg.f64 (expm1.f64 (+.f64 x x)))) (log.f64 (neg.f64 (expm1.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)))) |
(+.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal 0 binary64)) |
(log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 x))) (exp.f64 x)) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (exp.f64 x)) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(*.f64 (neg.f64 (expm1.f64 (+.f64 x x))) (/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 x)))) |
(*.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64)))) |
(*.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (-.f64 (exp.f64 x) #s(literal -1 binary64))) |
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (exp.f64 x)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (*.f64 #s(literal 1 binary64) (neg.f64 (exp.f64 x)))))) |
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (+.f64 x x)))) (neg.f64 (neg.f64 (expm1.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 (neg.f64 (expm1.f64 (+.f64 x x))) (neg.f64 (expm1.f64 x))) |
(/.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (+.f64 (exp.f64 (+.f64 x x)) (neg.f64 (expm1.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))) |
(/.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (expm1.f64 x)) (neg.f64 (expm1.f64 (+.f64 x x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64)) (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)))) |
(neg.f64 (-.f64 (neg.f64 (exp.f64 x)) #s(literal 1 binary64))) |
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 x) (cosh.f64 x))) (cosh.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) (neg.f64 (expm1.f64 x))) (/.f64 (exp.f64 (+.f64 x x)) (neg.f64 (expm1.f64 x)))) |
(-.f64 (exp.f64 x) #s(literal -1 binary64)) |
(-.f64 #s(literal 1 binary64) (neg.f64 (exp.f64 x))) |
(+.f64 (+.f64 #s(literal 1 binary64) (cosh.f64 x)) (sinh.f64 x)) |
(+.f64 (/.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) (neg.f64 (neg.f64 (exp.f64 x)))) |
(+.f64 #s(literal 1 binary64) (exp.f64 x)) |
#s(literal 1 binary64) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 x) (cosh.f64 x))) (cosh.f64 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))))) |
(/.f64 (neg.f64 (exp.f64 x)) #s(literal -1 binary64)) |
(/.f64 (exp.f64 x) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 x))) |
(fma.f64 (cosh.f64 x) #s(literal 1 binary64) (*.f64 (sinh.f64 x) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1 binary64) (cosh.f64 x) (*.f64 #s(literal 1 binary64) (sinh.f64 x))) |
(sqrt.f64 (exp.f64 (+.f64 x x))) |
(-.f64 (cosh.f64 x) (neg.f64 (sinh.f64 x))) |
(fabs.f64 (neg.f64 (exp.f64 x))) |
(fabs.f64 (exp.f64 x)) |
(exp.f64 (+.f64 #s(literal 0 binary64) x)) |
(exp.f64 (-.f64 x #s(literal 0 binary64))) |
(exp.f64 x) |
(+.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 x)) (*.f64 #s(literal 1 binary64) (sinh.f64 x))) |
(+.f64 (*.f64 (cosh.f64 x) #s(literal 1 binary64)) (*.f64 (sinh.f64 x) #s(literal 1 binary64))) |
(+.f64 (/.f64 (cosh.f64 x) #s(literal 1 binary64)) (/.f64 (sinh.f64 x) #s(literal 1 binary64))) |
(+.f64 (sinh.f64 x) (cosh.f64 x)) |
(+.f64 (cosh.f64 x) (sinh.f64 x)) |
x |
(*.f64 y x) |
(*.f64 x y) |
y |
Compiled 1 840 to 444 computations (75.9% saved)
7 alts after pruning (7 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 101 | 7 | 108 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 102 | 7 | 109 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.6% | (fma.f64 (neg.f64 y) x (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))) |
| ▶ | 92.2% | (-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y)) |
| 78.2% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x)) y)))) | |
| ▶ | 85.8% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))) |
| 99.6% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 y (-.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y) x))) | |
| ▶ | 50.8% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 #s(literal -1 binary64) (*.f64 x y))) |
| ▶ | 50.7% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64))) |
Compiled 216 to 180 computations (16.7% saved)
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 179 | 738 |
| 1× | iter-limit |
| Inputs |
|---|
(fma.f64 (neg.f64 y) x (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))) |
(neg.f64 y) |
y |
x |
(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)) (log.f64 #s(literal 2 binary64))) |
(log.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 #s(literal -1 binary64) (*.f64 x y))) |
(*.f64 #s(literal -1 binary64) (*.f64 x y)) |
(*.f64 x y) |
(-.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(approx (- (log (+ 1 (exp x))) (* x y)) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))) |
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y))) |
(*.f64 x (-.f64 #s(literal 1/2 binary64) y)) |
(-.f64 #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
| Outputs |
|---|
#s(approx (+ (* (neg y) x) (log (- (exp x) -1))) (log.f64 #s(literal 2 binary64))) |
#s(approx (+ (* (neg y) x) (log (- (exp x) -1))) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) y))))) |
#s(approx (+ (* (neg y) x) (log (- (exp x) -1))) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) y (*.f64 #s(literal 1/8 binary64) x)))))) |
#s(approx (+ (* (neg y) x) (log (- (exp x) -1))) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) y (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/192 binary64) (pow.f64 x #s(literal 2 binary64)))))))))) |
#s(approx x x) |
#s(approx (log (- (exp x) -1)) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x))) |
#s(approx (log (- (exp x) -1)) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x))))) |
#s(approx (log (- (exp x) -1)) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/192 binary64) (pow.f64 x #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) (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))))) |
#s(approx (- (exp x) -1) (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))))))) |
#s(approx (exp x) #s(literal 1 binary64)) |
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) |
#s(approx (exp x) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))))) |
#s(approx (exp x) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x)) y)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/192 binary64) (pow.f64 x #s(literal 2 binary64)))))) y)))) |
#s(approx (* -1 (* x y)) (*.f64 #s(literal -1 binary64) (*.f64 x y))) |
#s(approx (* x y) (*.f64 x y)) |
#s(approx (* x (- 1/2 y)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y))) |
#s(approx (+ (* (neg y) x) (log (- (exp x) -1))) (*.f64 x (fma.f64 #s(literal -1 binary64) y (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x)))) |
#s(approx (log (- (exp x) -1)) (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))) |
#s(approx (- (exp x) -1) (+.f64 #s(literal 1 binary64) (exp.f64 x))) |
#s(approx (exp x) (exp.f64 x)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (-.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x) y))) |
#s(approx (+ (log 2) (* x (- 1/2 y))) (*.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) y))) |
#s(approx (+ (* (neg y) x) (log (- (exp x) -1))) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x)))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x)) (*.f64 #s(literal -1 binary64) y))))) |
#s(approx (+ (log 2) (* x (- 1/2 y))) (*.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)))))) |
#s(approx (+ (* (neg y) x) (log (- (exp x) -1))) (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 #s(literal -1 binary64) (*.f64 x y)))) |
#s(approx (neg y) (*.f64 #s(literal -1 binary64) y)) |
#s(approx y y) |
#s(approx (+ (log 2) (* x (- 1/2 y))) (+.f64 (log.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (*.f64 x y) (*.f64 #s(literal 1/2 binary64) x)))) |
#s(approx (* x (- 1/2 y)) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (* x (- 1/2 y)) (fma.f64 #s(literal -1 binary64) (*.f64 x y) (*.f64 #s(literal 1/2 binary64) x))) |
#s(approx (- 1/2 y) #s(literal 1/2 binary64)) |
#s(approx (- 1/2 y) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) y))) |
#s(approx (+ (* (neg y) x) (log (- (exp x) -1))) (*.f64 y (fma.f64 #s(literal -1 binary64) x (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 y (-.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y) x))) |
#s(approx (+ (log 2) (* x (- 1/2 y))) (*.f64 y (fma.f64 #s(literal -1 binary64) x (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (/.f64 (log.f64 #s(literal 2 binary64)) y))))) |
#s(approx (* x (- 1/2 y)) (*.f64 y (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) |
#s(approx (- 1/2 y) (*.f64 y (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)))) |
#s(approx (+ (* (neg y) x) (log (- (exp x) -1))) (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y)))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y)) (*.f64 #s(literal -1 binary64) x))))) |
#s(approx (+ (log 2) (* x (- 1/2 y))) (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x)) y)))))) |
#s(approx (* x (- 1/2 y)) (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))) |
#s(approx (- 1/2 y) (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))))) |
6 calls:
| Time | Variable | Point |
|---|---|---|
| 26.0ms | x | inf |
| 9.0ms | x | -inf |
| 5.0ms | y | inf |
| 4.0ms | x | 0 |
| 3.0ms | y | 0 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 122 |
| 0 | 42 | 120 |
| 1 | 202 | 120 |
| 0 | 1744 | 108 |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
(fma.f64 (neg.f64 y) x (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))) |
(neg.f64 y) |
y |
x |
(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)) (log.f64 #s(literal 2 binary64))) |
(log.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 #s(literal -1 binary64) (*.f64 x y))) |
(*.f64 #s(literal -1 binary64) (*.f64 x y)) |
(*.f64 x y) |
(-.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(approx (- (log (+ 1 (exp x))) (* x y)) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))) |
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y))) |
(*.f64 x (-.f64 #s(literal 1/2 binary64) y)) |
(-.f64 #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
| Outputs |
|---|
(*.f64 (*.f64 (+.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (*.f64 x (neg.f64 y))) #s(literal 1 binary64)) (neg.f64 x)) y) |
(*.f64 (*.f64 (+.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (*.f64 x (neg.f64 y))) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 x y)) |
(*.f64 (*.f64 (+.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (*.f64 x (neg.f64 y))) #s(literal 1 binary64)) x) (neg.f64 y)) |
(*.f64 (*.f64 (+.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (*.f64 x (neg.f64 y))) #s(literal 1 binary64)) (neg.f64 y)) x) |
(*.f64 (*.f64 (+.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (*.f64 x (neg.f64 y))) #s(literal 1 binary64)) (*.f64 x y)) #s(literal -1 binary64)) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (neg.f64 y)) (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))) (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))) (*.f64 x (neg.f64 y)))) (*.f64 x (neg.f64 y))) |
(*.f64 (-.f64 (*.f64 (*.f64 (*.f64 x y) x) y) (pow.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x y (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))))) |
(*.f64 (+.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (*.f64 x (neg.f64 y))) #s(literal 1 binary64)) (*.f64 x (neg.f64 y))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))) (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 (*.f64 (*.f64 x y) x) y)) (/.f64 #s(literal 1 binary64) (fma.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 (*.f64 x y) x) y) (*.f64 x y))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 x y) x) y (*.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (fma.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 (*.f64 x y) x) y) (*.f64 x y))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x y) (fma.f64 x y (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 x (neg.f64 y)) (+.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (*.f64 x (neg.f64 y))) #s(literal 1 binary64))) |
(*.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 x y) x) y) (*.f64 x (neg.f64 y))) (pow.f64 (neg.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 x y) x) y (+.f64 (pow.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 x (neg.f64 y)) (neg.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x y) x) y) (pow.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal 2 binary64))) (neg.f64 (fma.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 3 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 x y) x) y) (*.f64 x y)))) (neg.f64 (fma.f64 (*.f64 (*.f64 x y) x) y (*.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (fma.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 3 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 x y) x) y) (*.f64 x y)))) (neg.f64 (fma.f64 (*.f64 x y) (fma.f64 x y (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 x y) x) y)) (neg.f64 (neg.f64 (fma.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 2 binary64)) (*.f64 (*.f64 (*.f64 x y) x) y)) (fma.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 (*.f64 x y) x) y) (*.f64 x y))) (fma.f64 (*.f64 (*.f64 x y) x) y (*.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (fma.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 (*.f64 x y) x) y) (*.f64 x y))) (fma.f64 (*.f64 x y) (fma.f64 x y (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 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 x y (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))) (-.f64 (*.f64 (*.f64 (*.f64 x y) x) y) (pow.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x y (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))) (-.f64 (pow.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 x y) x) y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 x y) x) y (*.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (fma.f64 x y (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))))) (-.f64 (pow.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 x y) x) y) (*.f64 x y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x y) (fma.f64 x y (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 (pow.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 x y) x) y) (*.f64 x y))))) |
(neg.f64 (*.f64 (+.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (*.f64 x (neg.f64 y))) #s(literal 1 binary64)) (*.f64 x y))) |
(neg.f64 (-.f64 (neg.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))) (*.f64 x (neg.f64 y)))) |
(neg.f64 (-.f64 (*.f64 x y) (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))) |
(fma.f64 (*.f64 #s(literal -1 binary64) y) x (neg.f64 (neg.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))))) |
(fma.f64 (*.f64 #s(literal -1 binary64) y) x (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))) |
(fma.f64 (neg.f64 x) y (neg.f64 (neg.f64 (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 x y) #s(literal -1 binary64) (neg.f64 (neg.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))))) |
(fma.f64 (*.f64 x y) #s(literal -1 binary64) (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))) |
(fma.f64 #s(literal -1 binary64) (*.f64 x y) (neg.f64 (neg.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))))) |
(fma.f64 #s(literal -1 binary64) (*.f64 x y) (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))) |
(fma.f64 x (*.f64 y #s(literal -1 binary64)) (neg.f64 (neg.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))))) |
(fma.f64 x (*.f64 y #s(literal -1 binary64)) (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))) |
(fma.f64 x (neg.f64 y) (neg.f64 (neg.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))))) |
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(-.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (*.f64 (neg.f64 (neg.f64 x)) y)) |
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(neg.f64 y) |
y |
x |
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(fma.f64 #s(literal 1 binary64) (exp.f64 x) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) (exp.f64 x)) #s(literal 1 binary64)) |
(fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) |
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(-.f64 (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)) (/.f64 #s(literal 1 binary64) (expm1.f64 x))) |
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(-.f64 #s(literal 1 binary64) (neg.f64 (exp.f64 x))) |
(-.f64 (exp.f64 x) #s(literal -1 binary64)) |
(+.f64 (+.f64 #s(literal 1 binary64) (cosh.f64 x)) (sinh.f64 x)) |
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(+.f64 (cosh.f64 x) (+.f64 (sinh.f64 x) #s(literal 1 binary64))) |
(+.f64 (cosh.f64 x) (-.f64 (sinh.f64 x) #s(literal -1 binary64))) |
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(exp.f64 (-.f64 x #s(literal 0 binary64))) |
(exp.f64 x) |
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(+.f64 (sinh.f64 x) (cosh.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))) |
(log.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
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(fma.f64 y (neg.f64 x) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))) |
(-.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)))) (fma.f64 x y (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))) (/.f64 (*.f64 (*.f64 (*.f64 x y) x) y) (fma.f64 x y (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))))) |
(-.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))) (*.f64 (*.f64 x y) (fma.f64 x y (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x y) x) y) (*.f64 x y)) (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 x y) (fma.f64 x y (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))))))) |
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 (neg.f64 (neg.f64 x)) y)) |
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 (*.f64 x (neg.f64 y)) #s(literal -1 binary64))) |
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 x y))) |
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 (neg.f64 x) (neg.f64 y))) |
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 (neg.f64 (neg.f64 y)) x)) |
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (neg.f64 (*.f64 x (neg.f64 y)))) |
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y)) |
(+.f64 (*.f64 x (neg.f64 y)) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))) |
(+.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x (neg.f64 y))) |
(log.f64 (pow.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))))) |
(log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) |
#s(approx (+ 1 (exp x)) #s(literal 2 binary64)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x))) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 y #s(literal 1/2 binary64)) x) (log.f64 #s(literal 2 binary64)))) (log.f64 #s(literal 2 binary64))) |
(*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) y) (/.f64 x (log.f64 #s(literal 2 binary64))) #s(literal 1 binary64)) (log.f64 #s(literal 2 binary64))) |
(*.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x))) (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)))) |
(*.f64 (+.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) (log.f64 #s(literal 2 binary64))))))) |
(*.f64 (log.f64 #s(literal 2 binary64)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) (/.f64 x (log.f64 #s(literal 2 binary64))) #s(literal 1 binary64))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) x) (-.f64 #s(literal 1/2 binary64) y)) (*.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64)))) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) (log.f64 #s(literal 2 binary64)))) |
(/.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 y #s(literal 1/2 binary64)) x) #s(literal 3 binary64))) (fma.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) x) (-.f64 #s(literal 1/2 binary64) y) (*.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (-.f64 y #s(literal 1/2 binary64)) x))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)))) (neg.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) (log.f64 #s(literal 2 binary64))))))) |
(/.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x))) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) x) (-.f64 #s(literal 1/2 binary64) y) (-.f64 (*.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (log.f64 #s(literal 2 binary64)) x) (-.f64 #s(literal 1/2 binary64) y))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) (log.f64 #s(literal 2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) (log.f64 #s(literal 2 binary64))))) (+.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))))) |
(neg.f64 (-.f64 (*.f64 (-.f64 y #s(literal 1/2 binary64)) x) (log.f64 #s(literal 2 binary64)))) |
(fma.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))) |
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 y #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) x) (log.f64 #s(literal 2 binary64))) |
(fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))) |
(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64))) |
(-.f64 (/.f64 (*.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64))) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x))) (/.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) x) (-.f64 #s(literal 1/2 binary64) y)) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)))) |
(-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) (neg.f64 (log.f64 #s(literal 2 binary64)))) |
(-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (-.f64 y #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 2 binary64)) (log.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) (log.f64 #s(literal 2 binary64)))))) (/.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 3 binary64)) (fma.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) (log.f64 #s(literal 2 binary64))))))) |
(+.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) (log.f64 #s(literal 2 binary64))) |
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (neg.f64 (neg.f64 x)) (-.f64 #s(literal 1/2 binary64) y))) |
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)) |
(log.f64 (pow.f64 #s(literal 2 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) (/.f64 x (log.f64 #s(literal 2 binary64))) #s(literal 1 binary64)))) |
(*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64)) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 (-.f64 #s(literal 1/2 binary64) y) x) |
(*.f64 x (-.f64 #s(literal 1/2 binary64) y)) |
(/.f64 (*.f64 x (-.f64 #s(literal 1/4 binary64) (*.f64 y y))) (+.f64 #s(literal 1/2 binary64) y)) |
(/.f64 (*.f64 x (-.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 y y) y))) (fma.f64 y (+.f64 #s(literal 1/2 binary64) y) #s(literal 1/4 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) x) (+.f64 #s(literal 1/2 binary64) y)) |
(/.f64 (*.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 y y) y)) x) (fma.f64 y (+.f64 #s(literal 1/2 binary64) y) #s(literal 1/4 binary64))) |
(neg.f64 (*.f64 (-.f64 y #s(literal 1/2 binary64)) x)) |
(fma.f64 #s(literal 1/2 binary64) x (*.f64 x (neg.f64 y))) |
(fma.f64 x #s(literal 1/2 binary64) (*.f64 x (neg.f64 y))) |
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x (neg.f64 y))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x (neg.f64 y))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) |
(*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) y))) |
(*.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 y y) y)) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 #s(literal 1/2 binary64) y) #s(literal 1/4 binary64)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 y #s(literal 2 binary64)))) |
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (neg.f64 y) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 y y) (*.f64 #s(literal 1/2 binary64) (neg.f64 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 (fma.f64 y (+.f64 #s(literal 1/2 binary64) y) #s(literal 1/4 binary64)))) |
(/.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)) (fma.f64 y (+.f64 #s(literal 1/2 binary64) y) #s(literal 1/4 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) y) (-.f64 #s(literal 1/4 binary64) (*.f64 y y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (+.f64 #s(literal 1/2 binary64) y) #s(literal 1/4 binary64)) (-.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 y y) y)))) |
(neg.f64 (-.f64 y #s(literal 1/2 binary64))) |
(-.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) (fma.f64 y (+.f64 #s(literal 1/2 binary64) y) #s(literal 1/4 binary64))) (/.f64 (*.f64 (*.f64 y y) y) (fma.f64 y (+.f64 #s(literal 1/2 binary64) y) #s(literal 1/4 binary64)))) |
(-.f64 #s(literal 1/2 binary64) (neg.f64 (neg.f64 y))) |
(-.f64 #s(literal 1/2 binary64) y) |
(+.f64 #s(literal 1/2 binary64) (neg.f64 y)) |
(+.f64 (neg.f64 y) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
Compiled 6 192 to 1 058 computations (82.9% saved)
8 alts after pruning (6 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 290 | 5 | 295 |
| Fresh | 1 | 1 | 2 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 294 | 8 | 302 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 92.2% | (fma.f64 (neg.f64 y) x (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64)))) |
| ✓ | 92.2% | (-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y)) |
| 92.1% | (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))) | |
| ▶ | 78.2% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x)) y)))) |
| ▶ | 51.1% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x #s(approx (- 1/2 y) #s(literal 1/2 binary64))))) |
| ▶ | 50.8% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x)) |
| ✓ | 50.7% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64))) |
| ▶ | 85.8% | #s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (log 2) (* x (- 1/2 y))) (*.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) y)))) |
Compiled 257 to 205 computations (20.2% saved)
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 275 | 1409 |
| 1× | iter-limit |
| Inputs |
|---|
(fma.f64 (neg.f64 y) x (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64)))) |
(neg.f64 y) |
y |
x |
(log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))) |
#s(approx (- (exp x) -1) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x)) |
(*.f64 (neg.f64 y) x) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x #s(approx (- 1/2 y) #s(literal 1/2 binary64))))) |
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x #s(approx (- 1/2 y) #s(literal 1/2 binary64)))) |
(log.f64 #s(literal 2 binary64)) |
(*.f64 x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) |
#s(approx (- 1/2 y) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (log 2) (* x (- 1/2 y))) (*.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) y)))) |
#s(approx (+ (log 2) (* x (- 1/2 y))) (*.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) y))) |
(*.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) y)) |
(-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) y) |
(+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) |
(/.f64 (log.f64 #s(literal 2 binary64)) x) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x)) y)))) |
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x)) y))) |
(*.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x)) y)) |
(-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x)) y) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x)) |
(*.f64 #s(literal 1/8 binary64) x) |
#s(literal 1/8 binary64) |
| Outputs |
|---|
#s(approx (+ (* (neg y) x) (log (- (exp x) -1))) (log.f64 #s(literal 2 binary64))) |
#s(approx (+ (* (neg y) x) (log (- (exp x) -1))) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) y))))) |
#s(approx (+ (* (neg y) x) (log (- (exp x) -1))) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) y (*.f64 #s(literal 1/8 binary64) x)))))) |
#s(approx (+ (* (neg y) x) (log (- (exp x) -1))) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) y (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/192 binary64) (pow.f64 x #s(literal 2 binary64)))))))))) |
#s(approx x x) |
#s(approx (log (- (exp x) -1)) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x))) |
#s(approx (log (- (exp x) -1)) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x))))) |
#s(approx (log (- (exp x) -1)) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/192 binary64) (pow.f64 x #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) (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))))) |
#s(approx (- (exp x) -1) (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x)) y)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/192 binary64) (pow.f64 x #s(literal 2 binary64)))))) y)))) |
#s(approx (* (neg y) x) (*.f64 #s(literal -1 binary64) (*.f64 x y))) |
#s(approx (* x (- 1/2 y)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y))) |
#s(approx (- (+ 1/2 (/ (log 2) x)) y) (/.f64 (log.f64 #s(literal 2 binary64)) x)) |
#s(approx (- (+ 1/2 (/ (log 2) x)) y) (/.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y))) x)) |
#s(approx (+ 1/2 (/ (log 2) x)) (/.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x)) x)) |
#s(approx (* x (- (+ 1/2 (* 1/8 x)) y)) (*.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x)) y))) |
#s(approx (- (+ 1/2 (* 1/8 x)) y) (-.f64 #s(literal 1/2 binary64) y)) |
#s(approx (- (+ 1/2 (* 1/8 x)) y) (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x)) y)) |
#s(approx (+ 1/2 (* 1/8 x)) #s(literal 1/2 binary64)) |
#s(approx (+ 1/2 (* 1/8 x)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x))) |
#s(approx (* 1/8 x) (*.f64 #s(literal 1/8 binary64) x)) |
#s(approx (+ (* (neg y) x) (log (- (exp x) -1))) (*.f64 x (fma.f64 #s(literal -1 binary64) y (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x)))) |
#s(approx (log (- (exp x) -1)) (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))) |
#s(approx (- (exp x) -1) (+.f64 #s(literal 1 binary64) (exp.f64 x))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (-.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x) y))) |
#s(approx (+ (log 2) (* x (- 1/2 y))) (*.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) y))) |
#s(approx (- (+ 1/2 (/ (log 2) x)) y) (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) y)) |
#s(approx (+ 1/2 (/ (log 2) x)) (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x))) |
#s(approx (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y))) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))) |
#s(approx (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) (/.f64 y x)))) |
#s(approx (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x) (/.f64 (log.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))) (/.f64 y x)))) |
#s(approx (- (+ 1/2 (* 1/8 x)) y) (*.f64 x (-.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) (/.f64 y x)))) |
#s(approx (+ 1/2 (* 1/8 x)) (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))) |
#s(approx (+ (* (neg y) x) (log (- (exp x) -1))) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x)))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x)) (*.f64 #s(literal -1 binary64) y))))) |
#s(approx (+ (log 2) (* x (- 1/2 y))) (*.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)))))) |
#s(approx (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x))) x))))) |
#s(approx (- (+ 1/2 (* 1/8 x)) y) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)) #s(literal 1/8 binary64))))) |
#s(approx (+ (* (neg y) x) (log (- (exp x) -1))) (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 #s(literal -1 binary64) (*.f64 x y)))) |
#s(approx (neg y) (*.f64 #s(literal -1 binary64) y)) |
#s(approx y y) |
#s(approx (+ (log 2) (* x (- 1/2 y))) (+.f64 (log.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (*.f64 x y) (*.f64 #s(literal 1/2 binary64) x)))) |
#s(approx (* x (- 1/2 y)) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (* x (- 1/2 y)) (fma.f64 #s(literal -1 binary64) (*.f64 x y) (*.f64 #s(literal 1/2 binary64) x))) |
#s(approx (- 1/2 y) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) y))) |
#s(approx (* x (- (+ 1/2 (/ (log 2) x)) y)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)))) |
#s(approx (* x (- (+ 1/2 (/ (log 2) x)) y)) (fma.f64 #s(literal -1 binary64) (*.f64 x y) (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x))))) |
#s(approx (- (+ 1/2 (/ (log 2) x)) y) (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) y (/.f64 (log.f64 #s(literal 2 binary64)) x)))) |
#s(approx (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y))) (+.f64 (log.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (*.f64 x y) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x)))))) |
#s(approx (* x (- (+ 1/2 (* 1/8 x)) y)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x)))) |
#s(approx (* x (- (+ 1/2 (* 1/8 x)) y)) (fma.f64 #s(literal -1 binary64) (*.f64 x y) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x))))) |
#s(approx (- (+ 1/2 (* 1/8 x)) y) (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) y (*.f64 #s(literal 1/8 binary64) x)))) |
#s(approx (+ (* (neg y) x) (log (- (exp x) -1))) (*.f64 y (fma.f64 #s(literal -1 binary64) x (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 y (-.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y) x))) |
#s(approx (+ (log 2) (* x (- 1/2 y))) (*.f64 y (fma.f64 #s(literal -1 binary64) x (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (/.f64 (log.f64 #s(literal 2 binary64)) y))))) |
#s(approx (* x (- 1/2 y)) (*.f64 y (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) |
#s(approx (- 1/2 y) (*.f64 y (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)))) |
#s(approx (* x (- (+ 1/2 (/ (log 2) x)) y)) (*.f64 y (fma.f64 #s(literal -1 binary64) x (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x))) y)))) |
#s(approx (- (+ 1/2 (/ (log 2) x)) y) (*.f64 y (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y) (/.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))) #s(literal 1 binary64)))) |
#s(approx (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y))) (*.f64 y (fma.f64 #s(literal -1 binary64) x (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x))) y))))) |
#s(approx (* x (- (+ 1/2 (* 1/8 x)) y)) (*.f64 y (fma.f64 #s(literal -1 binary64) x (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x))) y)))) |
#s(approx (- (+ 1/2 (* 1/8 x)) y) (*.f64 y (-.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 x y) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)))) |
#s(approx (+ (* (neg y) x) (log (- (exp x) -1))) (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y)))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y)) (*.f64 #s(literal -1 binary64) x))))) |
#s(approx (+ (log 2) (* x (- 1/2 y))) (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x)) y)))))) |
#s(approx (* x (- 1/2 y)) (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))) |
#s(approx (- 1/2 y) (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))))) |
#s(approx (* x (- (+ 1/2 (/ (log 2) x)) y)) (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x))) y)))))) |
#s(approx (- (+ 1/2 (/ (log 2) x)) y) (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) y)))))) |
#s(approx (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y))) (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x)))) y)))))) |
#s(approx (* x (- (+ 1/2 (* 1/8 x)) y)) (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x))) y)))))) |
#s(approx (- (+ 1/2 (* 1/8 x)) y) (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x)) y)))))) |
6 calls:
| Time | Variable | Point |
|---|---|---|
| 58.0ms | x | inf |
| 20.0ms | x | -inf |
| 15.0ms | x | 0 |
| 5.0ms | y | inf |
| 5.0ms | y | 0 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 227 |
| 0 | 56 | 227 |
| 1 | 305 | 227 |
| 0 | 3180 | 208 |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
(fma.f64 (neg.f64 y) x (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64)))) |
(neg.f64 y) |
y |
x |
(log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))) |
#s(approx (- (exp x) -1) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x)) |
(*.f64 (neg.f64 y) x) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x #s(approx (- 1/2 y) #s(literal 1/2 binary64))))) |
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x #s(approx (- 1/2 y) #s(literal 1/2 binary64)))) |
(log.f64 #s(literal 2 binary64)) |
(*.f64 x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) |
#s(approx (- 1/2 y) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (log 2) (* x (- 1/2 y))) (*.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) y)))) |
#s(approx (+ (log 2) (* x (- 1/2 y))) (*.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) y))) |
(*.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) y)) |
(-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) y) |
(+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) |
(/.f64 (log.f64 #s(literal 2 binary64)) x) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x)) y)))) |
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x)) y))) |
(*.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x)) y)) |
(-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x)) y) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x)) |
(*.f64 #s(literal 1/8 binary64) x) |
#s(literal 1/8 binary64) |
| Outputs |
|---|
(*.f64 (*.f64 (+.f64 (/.f64 (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))) (*.f64 x (neg.f64 y))) #s(literal 1 binary64)) x) (neg.f64 y)) |
(*.f64 (*.f64 (+.f64 (/.f64 (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))) (*.f64 x (neg.f64 y))) #s(literal 1 binary64)) (neg.f64 y)) x) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (neg.f64 y)) (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))))) (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64)))) (*.f64 x (neg.f64 y)))) (*.f64 x (neg.f64 y))) |
(*.f64 (+.f64 (/.f64 (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))) (*.f64 x (neg.f64 y))) #s(literal 1 binary64)) (*.f64 x (neg.f64 y))) |
(*.f64 (-.f64 (*.f64 (*.f64 (*.f64 x y) x) y) (*.f64 (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))) (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (neg.f64 y)) (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64)))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x y) x) y) (*.f64 x (neg.f64 y)) (pow.f64 (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))) (-.f64 (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))) (*.f64 x (neg.f64 y))) (*.f64 (*.f64 (*.f64 x y) x) y)))) |
(*.f64 (*.f64 x (neg.f64 y)) (+.f64 (/.f64 (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))) (*.f64 x (neg.f64 y))) #s(literal 1 binary64))) |
(/.f64 (-.f64 (*.f64 (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))) (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64)))) (*.f64 (*.f64 (*.f64 x y) x) y)) (-.f64 (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))) (*.f64 x (neg.f64 y)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 x y) x) y) (*.f64 x (neg.f64 y))) (pow.f64 (neg.f64 (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 x y) x) y (fma.f64 (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))) (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))) (*.f64 (*.f64 x (neg.f64 y)) (neg.f64 (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64)))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 x y) x) y) (*.f64 (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))) (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64)))))) (neg.f64 (-.f64 (*.f64 x (neg.f64 y)) (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x y) x) y) (*.f64 x (neg.f64 y)) (pow.f64 (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))) (-.f64 (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))) (*.f64 x (neg.f64 y))) (*.f64 (*.f64 (*.f64 x y) x) y)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x y) x) y) (*.f64 (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))) (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))))) (-.f64 (*.f64 x (neg.f64 y)) (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))))) |
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x y) x) y) (*.f64 x (neg.f64 y)) (pow.f64 (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))) (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 (*.f64 x y) x) y) (*.f64 (*.f64 x (neg.f64 y)) (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))))))) |
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x y) x) y) (*.f64 x (neg.f64 y)) (pow.f64 (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))) (-.f64 (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))) (*.f64 x (neg.f64 y))) (*.f64 (*.f64 (*.f64 x y) x) y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x (neg.f64 y)) (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64)))) (-.f64 (*.f64 (*.f64 (*.f64 x y) x) y) (*.f64 (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))) (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))) (-.f64 (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))) (*.f64 x (neg.f64 y))) (*.f64 (*.f64 (*.f64 x y) x) y)) (fma.f64 (*.f64 (*.f64 (*.f64 x y) x) y) (*.f64 x (neg.f64 y)) (pow.f64 (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))) #s(literal 3 binary64))))) |
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(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) (*.f64 y (+.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y))) (-.f64 (pow.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) #s(literal 3 binary64)) (*.f64 (*.f64 y y) y)))) |
(neg.f64 (-.f64 y (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)))) |
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x))) (*.f64 #s(literal 1/8 binary64) x) (neg.f64 y)) |
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 1/8 binary64) x))) (*.f64 #s(literal 1/8 binary64) x) #s(literal 1/2 binary64)) |
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) x) #s(literal 1/2 binary64))) #s(literal 1/2 binary64) (neg.f64 y)) |
(fma.f64 (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 1/2 binary64) (neg.f64 y)) |
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/8 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)))) #s(literal 1/2 binary64))) |
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)))) #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/8 binary64) x))) |
(fma.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/64 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x))) (neg.f64 y)) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 x x)) (*.f64 #s(literal 1/8 binary64) x) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/8 binary64) x) (-.f64 (*.f64 #s(literal 1/8 binary64) x) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (neg.f64 y)) |
(fma.f64 (*.f64 #s(literal 1/8 binary64) x) (-.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)))))) |
(fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) |
(fma.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) (neg.f64 y)) |
(fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)))) (*.f64 (*.f64 #s(literal 1/8 binary64) x) (-.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)))))) |
(fma.f64 x #s(literal 1/8 binary64) (-.f64 #s(literal 1/2 binary64) y)) |
(-.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64))) (+.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y)) (/.f64 (*.f64 y y) (+.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y))) |
(-.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) (*.f64 y (+.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y)))) (/.f64 (*.f64 (*.f64 y y) y) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) (*.f64 y (+.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y))))) |
(-.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) (neg.f64 (neg.f64 y))) |
(-.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y) |
(-.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal -1/8 binary64) x) (neg.f64 y))) |
(-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/8 binary64) x y)) |
(-.f64 #s(literal 1/2 binary64) (neg.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) x) y))) |
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/8 binary64) x)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)))) #s(literal 1/2 binary64))) |
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)))) #s(literal 1/2 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/8 binary64) x))) |
(+.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) x) (-.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64))))) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)))))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64))))) (*.f64 (*.f64 #s(literal 1/8 binary64) x) (-.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)))))) |
(+.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) x) y) #s(literal 1/2 binary64)) |
(+.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) (neg.f64 y)) |
(+.f64 (*.f64 #s(literal 1/8 binary64) x) (-.f64 #s(literal 1/2 binary64) y)) |
(+.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 1/8 binary64) x) y)) |
(+.f64 (neg.f64 y) (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x))) (*.f64 #s(literal 1/8 binary64) x)) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) x) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) |
(*.f64 (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 1/2 binary64)) |
(*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/64 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x)))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 x x)) (*.f64 #s(literal 1/8 binary64) x) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/8 binary64) x) (-.f64 (*.f64 #s(literal 1/8 binary64) x) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64))) |
(/.f64 (-.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (-.f64 (*.f64 #s(literal 1/8 binary64) x) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal -1/8 binary64) x) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/64 binary64) (*.f64 x x) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) x))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/64 binary64) (*.f64 x x)))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x)))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 x x)) (*.f64 #s(literal 1/8 binary64) x) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) x) (-.f64 (*.f64 #s(literal 1/8 binary64) x) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))) |
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/64 binary64) (*.f64 x x))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x))) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 x x)) (*.f64 #s(literal 1/8 binary64) x) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/64 binary64) (*.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/16 binary64) x)))) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 x x)) (*.f64 #s(literal 1/8 binary64) x) #s(literal 1/8 binary64)) (fma.f64 (*.f64 #s(literal 1/8 binary64) x) (-.f64 (*.f64 #s(literal 1/8 binary64) x) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x)) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/64 binary64) (*.f64 x x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) x) (-.f64 (*.f64 #s(literal 1/8 binary64) x) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (fma.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 x x)) (*.f64 #s(literal 1/8 binary64) x) #s(literal 1/8 binary64)))) |
(neg.f64 (-.f64 (*.f64 #s(literal -1/8 binary64) x) #s(literal 1/2 binary64))) |
(fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) |
(fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) |
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x))) (/.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 x x)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x)))) |
(-.f64 (*.f64 #s(literal 1/8 binary64) x) #s(literal -1/2 binary64)) |
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) x)) |
(+.f64 (/.f64 #s(literal 1/8 binary64) (fma.f64 (*.f64 #s(literal 1/8 binary64) x) (-.f64 (*.f64 #s(literal 1/8 binary64) x) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (/.f64 (*.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 x x)) (*.f64 #s(literal 1/8 binary64) x)) (fma.f64 (*.f64 #s(literal 1/8 binary64) x) (-.f64 (*.f64 #s(literal 1/8 binary64) x) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))) |
(+.f64 (*.f64 #s(literal 1/8 binary64) x) #s(literal 1/2 binary64)) |
(+.f64 #s(literal 1/2 binary64) (neg.f64 (*.f64 #s(literal -1/8 binary64) x))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x)) |
(*.f64 #s(literal 1/8 binary64) x) |
(*.f64 x #s(literal 1/8 binary64)) |
#s(literal 1/8 binary64) |
Compiled 13 025 to 1 831 computations (85.9% saved)
8 alts after pruning (4 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 391 | 3 | 394 |
| Fresh | 0 | 1 | 1 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 2 | 2 |
| Total | 394 | 8 | 402 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 92.2% | (fma.f64 (neg.f64 y) x (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64)))) |
| ✓ | 92.2% | (-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y)) |
| ▶ | 92.1% | (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))) |
| ▶ | 51.1% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))) |
| ▶ | 54.8% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (+.f64 (log.f64 #s(literal 2 binary64)) #s(approx (* x (- (+ 1/2 (* 1/8 x)) y)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x)))))) |
| ✓ | 50.8% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x)) |
| ✓ | 50.7% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64))) |
| ▶ | 51.1% | #s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (log 2) (* x (- 1/2 y))) #s(approx (* x (- (+ 1/2 (/ (log 2) x)) y)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)))))) |
Compiled 156 to 122 computations (21.8% saved)
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 324 | 1665 |
| 1× | iter-limit |
| Inputs |
|---|
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (log 2) (* x (- 1/2 y))) #s(approx (* x (- (+ 1/2 (/ (log 2) x)) y)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)))))) |
#s(approx (+ (log 2) (* x (- 1/2 y))) #s(approx (* x (- (+ 1/2 (/ (log 2) x)) y)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x))))) |
#s(approx (* x (- (+ 1/2 (/ (log 2) x)) y)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x))) |
x |
(+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) |
#s(literal 1/2 binary64) |
(/.f64 (log.f64 #s(literal 2 binary64)) x) |
(log.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (+.f64 (log.f64 #s(literal 2 binary64)) #s(approx (* x (- (+ 1/2 (* 1/8 x)) y)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x)))))) |
(+.f64 (log.f64 #s(literal 2 binary64)) #s(approx (* x (- (+ 1/2 (* 1/8 x)) y)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x))))) |
#s(approx (* x (- (+ 1/2 (* 1/8 x)) y)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x)))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x)) |
(*.f64 #s(literal 1/8 binary64) x) |
#s(literal 1/8 binary64) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))) |
(fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))) |
#s(approx (- 1/2 y) #s(literal 1/2 binary64)) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))) |
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))) |
#s(literal 1 binary64) |
(/.f64 (*.f64 x y) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))) |
(*.f64 x y) |
y |
(log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) |
#s(approx (+ 1 (exp x)) #s(literal 2 binary64)) |
| Outputs |
|---|
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x)) y)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/192 binary64) (pow.f64 x #s(literal 2 binary64)))))) y)))) |
#s(approx (* x (+ 1/2 (/ (log 2) x))) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x))) |
#s(approx x x) |
#s(approx (+ 1/2 (/ (log 2) x)) (/.f64 (log.f64 #s(literal 2 binary64)) x)) |
#s(approx (+ 1/2 (/ (log 2) x)) (/.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x)) x)) |
#s(approx (* x (- (+ 1/2 (* 1/8 x)) y)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y))) |
#s(approx (* x (- (+ 1/2 (* 1/8 x)) y)) (*.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x)) y))) |
#s(approx (* x (+ 1/2 (* 1/8 x))) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (* x (+ 1/2 (* 1/8 x))) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x)))) |
#s(approx (+ 1/2 (* 1/8 x)) #s(literal 1/2 binary64)) |
#s(approx (+ 1/2 (* 1/8 x)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x))) |
#s(approx (* 1/8 x) (*.f64 #s(literal 1/8 binary64) x)) |
#s(approx (* (- 1 (/ (* x y) (log (+ 1 (exp x))))) (log (+ 1 (exp x)))) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) y))))) |
#s(approx (* (- 1 (/ (* x y) (log (+ 1 (exp x))))) (log (+ 1 (exp x)))) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) y (*.f64 x (+.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 y (log.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (log.f64 #s(literal 2 binary64)))))))))))) |
#s(approx (* (- 1 (/ (* x y) (log (+ 1 (exp x))))) (log (+ 1 (exp x)))) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) y (*.f64 x (+.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 y (log.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 y (log.f64 #s(literal 2 binary64))) (*.f64 x (fma.f64 #s(literal -1/8 binary64) (/.f64 y (log.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/4 binary64) (/.f64 y (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (*.f64 (log.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (/.f64 y (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (*.f64 #s(literal 1/8 binary64) (/.f64 y (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))))))))))))))) |
#s(approx (- 1 (/ (* x y) (log (+ 1 (exp x))))) #s(literal 1 binary64)) |
#s(approx (- 1 (/ (* x y) (log (+ 1 (exp x))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) (log.f64 #s(literal 2 binary64)))))) |
#s(approx (- 1 (/ (* x y) (log (+ 1 (exp x))))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x y) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 y (log.f64 #s(literal 2 binary64))))))) |
#s(approx (- 1 (/ (* x y) (log (+ 1 (exp x))))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (*.f64 x (fma.f64 #s(literal -1/4 binary64) (/.f64 y (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (*.f64 #s(literal 1/8 binary64) (/.f64 y (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))))) (/.f64 y (log.f64 #s(literal 2 binary64))))))) |
#s(approx (/ (* x y) (log (+ 1 (exp x)))) (/.f64 (*.f64 x y) (log.f64 #s(literal 2 binary64)))) |
#s(approx (/ (* x y) (log (+ 1 (exp x)))) (*.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x y) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 y (log.f64 #s(literal 2 binary64)))))) |
#s(approx (/ (* x y) (log (+ 1 (exp x)))) (*.f64 x (fma.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 #s(literal -1/4 binary64) (/.f64 y (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (*.f64 #s(literal 1/8 binary64) (/.f64 y (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (/.f64 y (log.f64 #s(literal 2 binary64)))))) |
#s(approx (/ (* x y) (log (+ 1 (exp x)))) (*.f64 x (fma.f64 x (-.f64 (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 y (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (*.f64 #s(literal 1/8 binary64) (/.f64 y (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (log.f64 #s(literal 2 binary64))) (*.f64 #s(literal -1/16 binary64) (/.f64 y (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))))))) (fma.f64 #s(literal -1/4 binary64) (/.f64 y (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (*.f64 #s(literal 1/8 binary64) (/.f64 y (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (/.f64 y (log.f64 #s(literal 2 binary64)))))) |
#s(approx (* x y) (*.f64 x y)) |
#s(approx (log (+ 1 (exp x))) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x))))) |
#s(approx (log (+ 1 (exp x))) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/192 binary64) (pow.f64 x #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)) (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))))) |
#s(approx (+ 1 (exp x)) (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 #s(literal -1 binary64) (*.f64 x y))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (-.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x) y))) |
#s(approx (+ (log 2) (* x (- 1/2 y))) (*.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) y))) |
#s(approx (* x (+ 1/2 (/ (log 2) x))) (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)))) |
#s(approx (+ 1/2 (/ (log 2) x)) (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x))) |
#s(approx (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y))) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))) |
#s(approx (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) (/.f64 y x)))) |
#s(approx (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x) (/.f64 (log.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))) (/.f64 y x)))) |
#s(approx (* x (+ 1/2 (* 1/8 x))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))) |
#s(approx (+ 1/2 (* 1/8 x)) (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))) |
#s(approx (* (- 1 (/ (* x y) (log (+ 1 (exp x))))) (log (+ 1 (exp x)))) (*.f64 x (fma.f64 #s(literal -1 binary64) y (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x)))) |
#s(approx (- 1 (/ (* x y) (log (+ 1 (exp x))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))))) |
#s(approx (- 1 (/ (* x y) (log (+ 1 (exp x))))) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))))))) |
#s(approx (/ (* x y) (log (+ 1 (exp x)))) (/.f64 (*.f64 x y) (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))))) |
#s(approx (log (+ 1 (exp x))) (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))) |
#s(approx (+ 1 (exp x)) (+.f64 #s(literal 1 binary64) (exp.f64 x))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x)) (*.f64 #s(literal -1 binary64) y))))) |
#s(approx (+ (log 2) (* x (- 1/2 y))) (*.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)))))) |
#s(approx (* x (+ 1/2 (/ (log 2) x))) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))))) |
#s(approx (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x))) x))))) |
#s(approx (* (- 1 (/ (* x y) (log (+ 1 (exp x))))) (log (+ 1 (exp x)))) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x)))))) |
#s(approx (- 1 (/ (* x y) (log (+ 1 (exp x))))) (*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 y (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 #s(literal -1 binary64) (*.f64 x y)))) |
#s(approx (+ (log 2) (* x (- 1/2 y))) (+.f64 (log.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (*.f64 x y) (*.f64 #s(literal 1/2 binary64) x)))) |
#s(approx (* x (- (+ 1/2 (/ (log 2) x)) y)) (fma.f64 #s(literal -1 binary64) (*.f64 x y) (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x))))) |
#s(approx (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y))) (+.f64 (log.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (*.f64 x y) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x)))))) |
#s(approx (* x (- (+ 1/2 (* 1/8 x)) y)) (fma.f64 #s(literal -1 binary64) (*.f64 x y) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x))))) |
#s(approx (- 1/2 y) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) y))) |
#s(approx (- 1 (/ (* x y) (log (+ 1 (exp x))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))))))) |
#s(approx y y) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 y (-.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y) x))) |
#s(approx (+ (log 2) (* x (- 1/2 y))) (*.f64 y (fma.f64 #s(literal -1 binary64) x (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (/.f64 (log.f64 #s(literal 2 binary64)) y))))) |
#s(approx (* x (- (+ 1/2 (/ (log 2) x)) y)) (*.f64 y (fma.f64 #s(literal -1 binary64) x (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x))) y)))) |
#s(approx (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y))) (*.f64 y (fma.f64 #s(literal -1 binary64) x (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x))) y))))) |
#s(approx (* x (- (+ 1/2 (* 1/8 x)) y)) (*.f64 y (fma.f64 #s(literal -1 binary64) x (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x))) y)))) |
#s(approx (- 1/2 y) (*.f64 #s(literal -1 binary64) y)) |
#s(approx (- 1/2 y) (*.f64 y (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)))) |
#s(approx (* (- 1 (/ (* x y) (log (+ 1 (exp x))))) (log (+ 1 (exp x)))) (*.f64 y (fma.f64 #s(literal -1 binary64) x (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y)))) |
#s(approx (- 1 (/ (* x y) (log (+ 1 (exp x))))) (*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y)) (*.f64 #s(literal -1 binary64) x))))) |
#s(approx (+ (log 2) (* x (- 1/2 y))) (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x)) y)))))) |
#s(approx (* x (- (+ 1/2 (/ (log 2) x)) y)) (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x))) y)))))) |
#s(approx (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y))) (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x)))) y)))))) |
#s(approx (* x (- (+ 1/2 (* 1/8 x)) y)) (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x))) y)))))) |
#s(approx (- 1/2 y) (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))))) |
#s(approx (* (- 1 (/ (* x y) (log (+ 1 (exp x))))) (log (+ 1 (exp x)))) (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y)))))) |
#s(approx (- 1 (/ (* x y) (log (+ 1 (exp x))))) (*.f64 y (fma.f64 #s(literal -1 binary64) (/.f64 x (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))) (/.f64 #s(literal 1 binary64) y)))) |
6 calls:
| Time | Variable | Point |
|---|---|---|
| 94.0ms | y | inf |
| 26.0ms | x | inf |
| 26.0ms | x | -inf |
| 18.0ms | y | -inf |
| 18.0ms | y | 0 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 45 | 287 |
| 0 | 61 | 277 |
| 1 | 311 | 269 |
| 0 | 3224 | 249 |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (log 2) (* x (- 1/2 y))) #s(approx (* x (- (+ 1/2 (/ (log 2) x)) y)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)))))) |
#s(approx (+ (log 2) (* x (- 1/2 y))) #s(approx (* x (- (+ 1/2 (/ (log 2) x)) y)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x))))) |
#s(approx (* x (- (+ 1/2 (/ (log 2) x)) y)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x))) |
x |
(+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) |
#s(literal 1/2 binary64) |
(/.f64 (log.f64 #s(literal 2 binary64)) x) |
(log.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (+.f64 (log.f64 #s(literal 2 binary64)) #s(approx (* x (- (+ 1/2 (* 1/8 x)) y)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x)))))) |
(+.f64 (log.f64 #s(literal 2 binary64)) #s(approx (* x (- (+ 1/2 (* 1/8 x)) y)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x))))) |
#s(approx (* x (- (+ 1/2 (* 1/8 x)) y)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x)))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x)) |
(*.f64 #s(literal 1/8 binary64) x) |
#s(literal 1/8 binary64) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))) |
(fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))) |
#s(approx (- 1/2 y) #s(literal 1/2 binary64)) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))) |
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))) |
#s(literal 1 binary64) |
(/.f64 (*.f64 x y) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))) |
(*.f64 x y) |
y |
(log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) |
#s(approx (+ 1 (exp x)) #s(literal 2 binary64)) |
| Outputs |
|---|
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (log 2) (* x (- 1/2 y))) #s(approx (* x (- (+ 1/2 (/ (log 2) x)) y)) (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64)))))) |
#s(approx (+ (log 2) (* x (- 1/2 y))) #s(approx (* x (- (+ 1/2 (/ (log 2) x)) y)) (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))))) |
#s(approx (* x (- (+ 1/2 (/ (log 2) x)) y)) (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64)))) |
(*.f64 (*.f64 x (fma.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1/2 binary64)) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) x) (*.f64 #s(literal 1/2 binary64) x))) (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 (fma.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 2 binary64) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal -1/2 binary64)) x) |
(*.f64 x (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal -1/2 binary64))) |
(/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64)))) x) |
(/.f64 (*.f64 x (-.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64))) (*.f64 x x)))) (-.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x))) |
(/.f64 (*.f64 x (+.f64 (pow.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (fma.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) x) x) |
(/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64))) (*.f64 x x))) x) (-.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 3 binary64)) #s(literal 1/8 binary64)) x) (fma.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (*.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) x) (*.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) x))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) x))) |
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(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 y x)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 y x)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 y x))) |
(neg.f64 (/.f64 (*.f64 (neg.f64 y) x) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))) |
(*.f64 y x) |
(*.f64 x y) |
y |
(*.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))) |
(log.f64 (pow.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) |
#s(approx (+ 1 (exp x)) #s(literal 2 binary64)) |
Compiled 13 214 to 1 649 computations (87.5% saved)
8 alts after pruning (2 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 349 | 2 | 351 |
| Fresh | 0 | 0 | 0 |
| Picked | 2 | 2 | 4 |
| Done | 0 | 4 | 4 |
| Total | 351 | 8 | 359 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 92.2% | (fma.f64 (neg.f64 y) x (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64)))) |
| ✓ | 92.2% | (-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y)) |
| ✓ | 92.1% | (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))) |
| ✓ | 51.1% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))) |
| 54.8% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (-.f64 #s(approx (* x (- (+ 1/2 (* 1/8 x)) y)) (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) x)) (log.f64 #s(literal 1/2 binary64)))) | |
| ✓ | 50.8% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x)) |
| ✓ | 50.7% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64))) |
| 51.1% | #s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (log 2) (* x (- 1/2 y))) #s(approx (* x (- (+ 1/2 (/ (log 2) x)) y)) (*.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal -1/2 binary64)) x)))) |
Compiled 155 to 120 computations (22.6% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x)) |
| Outputs |
|---|
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x)) |
| Inputs |
|---|
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 #s(literal -1 binary64) (*.f64 x y))) |
| Outputs |
|---|
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x)) |
#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 y) x)) |
| Inputs |
|---|
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 #s(literal -1 binary64) (*.f64 x y))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))) |
| Outputs |
|---|
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x)) |
| Inputs |
|---|
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 #s(literal -1 binary64) (*.f64 x y))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))) |
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x #s(approx (- 1/2 y) #s(literal 1/2 binary64))))) |
| Outputs |
|---|
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x)) |
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y)) |
| Inputs |
|---|
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 #s(literal -1 binary64) (*.f64 x y))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))) |
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x #s(approx (- 1/2 y) #s(literal 1/2 binary64))))) |
(fma.f64 (neg.f64 y) x (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64)))) |
| Outputs |
|---|
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x)) |
(fma.f64 (neg.f64 y) x (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64)))) |
| Inputs |
|---|
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 #s(literal -1 binary64) (*.f64 x y))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))) |
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x #s(approx (- 1/2 y) #s(literal 1/2 binary64))))) |
(fma.f64 (neg.f64 y) x (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (log 2) (* x (- 1/2 y))) #s(approx (* x (- (+ 1/2 (/ (log 2) x)) y)) (*.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal -1/2 binary64)) x)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (log 2) (* x (- 1/2 y))) #s(approx (* x (- (+ 1/2 (/ (log 2) x)) y)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (-.f64 #s(approx (* x (- (+ 1/2 (* 1/8 x)) y)) (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) x)) (log.f64 #s(literal 1/2 binary64)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (+.f64 (log.f64 #s(literal 2 binary64)) #s(approx (* x (- (+ 1/2 (* 1/8 x)) y)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x)))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (log 2) (* x (- 1/2 y))) (*.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) y)))) |
| Outputs |
|---|
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))) |
| Inputs |
|---|
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 #s(literal -1 binary64) (*.f64 x y))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))) |
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x #s(approx (- 1/2 y) #s(literal 1/2 binary64))))) |
(fma.f64 (neg.f64 y) x (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (log 2) (* x (- 1/2 y))) #s(approx (* x (- (+ 1/2 (/ (log 2) x)) y)) (*.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal -1/2 binary64)) x)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (log 2) (* x (- 1/2 y))) #s(approx (* x (- (+ 1/2 (/ (log 2) x)) y)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (-.f64 #s(approx (* x (- (+ 1/2 (* 1/8 x)) y)) (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) x)) (log.f64 #s(literal 1/2 binary64)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (+.f64 (log.f64 #s(literal 2 binary64)) #s(approx (* x (- (+ 1/2 (* 1/8 x)) y)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x)))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (log 2) (* x (- 1/2 y))) (*.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) y)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x)) y)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))) |
| Outputs |
|---|
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x)) y)))) |
| Inputs |
|---|
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 #s(literal -1 binary64) (*.f64 x y))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))) |
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x #s(approx (- 1/2 y) #s(literal 1/2 binary64))))) |
(fma.f64 (neg.f64 y) x (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (log 2) (* x (- 1/2 y))) #s(approx (* x (- (+ 1/2 (/ (log 2) x)) y)) (*.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal -1/2 binary64)) x)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (log 2) (* x (- 1/2 y))) #s(approx (* x (- (+ 1/2 (/ (log 2) x)) y)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (-.f64 #s(approx (* x (- (+ 1/2 (* 1/8 x)) y)) (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) x)) (log.f64 #s(literal 1/2 binary64)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (+.f64 (log.f64 #s(literal 2 binary64)) #s(approx (* x (- (+ 1/2 (* 1/8 x)) y)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x)))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (log 2) (* x (- 1/2 y))) (*.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) y)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x)) y)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) (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 (+.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)) |
| Inputs |
|---|
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 #s(literal -1 binary64) (*.f64 x y))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))) |
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x #s(approx (- 1/2 y) #s(literal 1/2 binary64))))) |
(fma.f64 (neg.f64 y) x (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (log 2) (* x (- 1/2 y))) #s(approx (* x (- (+ 1/2 (/ (log 2) x)) y)) (*.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal -1/2 binary64)) x)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (log 2) (* x (- 1/2 y))) #s(approx (* x (- (+ 1/2 (/ (log 2) x)) y)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (-.f64 #s(approx (* x (- (+ 1/2 (* 1/8 x)) y)) (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) x)) (log.f64 #s(literal 1/2 binary64)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (+.f64 (log.f64 #s(literal 2 binary64)) #s(approx (* x (- (+ 1/2 (* 1/8 x)) y)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x)))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (log 2) (* x (- 1/2 y))) (*.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) y)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x)) y)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) (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 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) |
(fma.f64 (neg.f64 y) x (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 y (-.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y) x))) |
| Outputs |
|---|
(fma.f64 (neg.f64 y) x (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))) |
18 calls:
| 18.0ms | x |
| 10.0ms | x |
| 7.0ms | x |
| 5.0ms | y |
| 5.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 50.8% | 1 | x |
| 50.8% | 1 | y |
| 50.8% | 1 | (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) |
| 98.0% | 3 | (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) |
| 98.4% | 3 | (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) |
| 84.0% | 2 | x |
| 99.6% | 2 | x |
| 99.6% | 2 | x |
| 100.0% | 2 | x |
| 99.0% | 2 | (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) |
| 100.0% | 2 | x |
| 92.2% | 1 | y |
| 99.6% | 1 | (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) |
| 99.6% | 1 | x |
| 99.6% | 1 | y |
| 99.6% | 1 | (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) |
| 99.6% | 1 | x |
| 99.6% | 1 | y |
Compiled 432 to 172 computations (60.2% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 16.0ms | -3524776753.436184 | -6.090758742709496e-14 |
| 9.0ms | 176× | 0 | valid |
Compiled 408 to 352 computations (13.7% saved)
ival-exp: 2.0ms (41.1% of total)ival-log1p: 1.0ms (20.5% of total)ival-mult!: 1.0ms (20.5% of total)ival-sub!: 0.0ms (0% of total)adjust: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 15.0ms | -3524776753.436184 | -6.090758742709496e-14 |
| 7.0ms | 128× | 0 | valid |
Compiled 364 to 319 computations (12.4% saved)
ival-exp: 2.0ms (51.2% of total)ival-log1p: 1.0ms (25.6% of total)ival-mult!: 1.0ms (25.6% 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 | -3524776753.436184 | -6.090758742709496e-14 |
Compiled 287 to 264 computations (8% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | -3524776753.436184 | -6.090758742709496e-14 |
Compiled 287 to 264 computations (8% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.6931529664993136 | 2419266778817418.5 |
| 0.0ms | 1.6296345866592819e-6 | 0.6747968239602581 |
Compiled 12 to 13 computations (-8.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.6931529664993136 | 2419266778817418.5 |
| 0.0ms | 1.6296345866592819e-6 | 0.6747968239602581 |
Compiled 12 to 13 computations (-8.3% saved)
| 1× | fuel |
Compiled 301 to 64 computations (78.7% saved)
Compiled 336 to 90 computations (73.2% saved)
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