Details

Time bar (total: 4.1s)

analyze182.0ms (4.4%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%100%0%0%0%0%2
25%25%75%0%0%0%0%3
28.6%25%62.5%0%0%0%12.5%4
30.8%25%56.2%0%0%0%18.7%5
36%28.1%50%0%0%0%21.9%6
38.8%29.7%46.9%0%0%0%23.4%7
40.2%30.5%45.3%0%0%0%24.2%8
40.7%30.8%44.9%0%0%0%24.2%9
41.2%31.2%44.5%0%0%0%24.2%10
41.4%31.3%44.4%0%0%0%24.2%11
41.5%31.4%44.3%0%0%0%24.3%12
Compiler

Compiled 14 to 12 computations (14.3% saved)

sample2.2s (52%)

Results
1.1s2692×body1024valid
570.0ms3861×body256valid
291.0ms1389×body512valid
143.0ms314×body2048valid
6.0ms54×body256infinite
0.0ms5×body256unsamplable
Bogosity

preprocess43.0ms (1%)

Algorithm
2×egg-herbie
Rules
1382×associate-*r*
1260×associate-/l*
1064×associate-/r*
1038×associate-*l*
904×fma-def
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01325
12725
23625
36225
413021
535215
6135115
011
Stop Event
1×saturated
1×node limit
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
Outputs
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
(sqrt.f64 (/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x)))
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(sqrt.f64 (/.f64 (+.f64 1 (exp.f64 x)) 1))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
Compiler

Compiled 14 to 12 computations (14.3% saved)

simplify71.0ms (1.7%)

Algorithm
1×egg-herbie
Rules
1382×associate-*r*
1260×associate-/l*
1064×associate-/r*
1038×associate-*l*
904×fma-def
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
01325
12725
23625
36225
413021
535215
6135115
Stop Event
1×node limit
Counts
1 → 5
Calls
Call 1
Inputs
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
Outputs
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
(sqrt.f64 (/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x)))
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(sqrt.f64 (/.f64 (+.f64 1 (exp.f64 x)) 1))
(sqrt.f64 (+.f64 1 (exp.f64 x)))

eval1.0ms (0%)

Compiler

Compiled 41 to 29 computations (29.3% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New325
Fresh101
Picked000
Done000
Total426
Accurracy
100.0%
Counts
6 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
▶100.0%
(sqrt.f64 (+.f64 1 (exp.f64 x)))
Compiler

Compiled 15 to 11 computations (26.7% saved)

localize10.0ms (0.2%)

Local Accuracy

Found 2 expressions with local accuracy:

NewAccuracyProgram
✓100.0%
(sqrt.f64 (+.f64 1 (exp.f64 x)))
✓100.0%
(+.f64 1 (exp.f64 x))
Compiler

Compiled 14 to 8 computations (42.9% saved)

series1.0ms (0%)

Counts
2 → 8
Calls

6 calls:

TimeVariablePointExpression
0.0ms
x
@0
(sqrt.f64 (+.f64 1 (exp.f64 x)))
0.0ms
x
@inf
(sqrt.f64 (+.f64 1 (exp.f64 x)))
0.0ms
x
@-inf
(sqrt.f64 (+.f64 1 (exp.f64 x)))
0.0ms
x
@0
(+.f64 1 (exp.f64 x))
0.0ms
x
@-inf
(+.f64 1 (exp.f64 x))

rewrite61.0ms (1.5%)

Algorithm
1×batch-egg-rewrite
Rules
1452×pow1
1340×add-exp-log
1340×log1p-expm1-u
1340×expm1-log1p-u
1312×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0826
115726
2186926
Stop Event
1×node limit
Counts
2 → 58
Calls
Call 1
Inputs
(+.f64 1 (exp.f64 x))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
Outputs
(-.f64 (+.f64 1 (+.f64 1 (exp.f64 x))) 1)
(-.f64 (/.f64 1 (-.f64 1 (exp.f64 x))) (/.f64 (exp.f64 (+.f64 x x)) (-.f64 1 (exp.f64 x))))
(*.f64 1 (+.f64 1 (exp.f64 x)))
(*.f64 (+.f64 1 (exp.f64 x)) 1)
(*.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) (sqrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2))
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2) (cbrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) (*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(*.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (/.f64 1 (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x)))))
(*.f64 (-.f64 1 (exp.f64 (+.f64 x x))) (/.f64 1 (-.f64 1 (exp.f64 x))))
(*.f64 (*.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)) (pow.f64 (+.f64 1 (exp.f64 x)) 1/4))
(*.f64 (*.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) (cbrt.f64 (+.f64 1 (exp.f64 x)))) (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(/.f64 1 (/.f64 (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x))) (+.f64 1 (pow.f64 (exp.f64 x) 3))))
(/.f64 1 (/.f64 (-.f64 1 (exp.f64 x)) (-.f64 1 (exp.f64 (+.f64 x x)))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (+.f64 (exp.f64 (+.f64 x x)) (-.f64 1 (exp.f64 x))))
(/.f64 (-.f64 1 (exp.f64 (+.f64 x x))) (-.f64 1 (exp.f64 x)))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3))) (neg.f64 (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x)))))
(/.f64 (neg.f64 (-.f64 1 (exp.f64 (+.f64 x x)))) (neg.f64 (-.f64 1 (exp.f64 x))))
(/.f64 (-.f64 (exp.f64 (+.f64 x x)) 1) (expm1.f64 x))
(pow.f64 (+.f64 1 (exp.f64 x)) 1)
(pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 2)
(pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 3)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 2))
(log.f64 (exp.f64 (+.f64 1 (exp.f64 x))))
(cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3))
(expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 x))))
(exp.f64 (log1p.f64 (exp.f64 x)))
(log1p.f64 (expm1.f64 (+.f64 1 (exp.f64 x))))
(fma.f64 1 (exp.f64 x) 1)
(fma.f64 (cbrt.f64 (exp.f64 (+.f64 x x))) (cbrt.f64 (exp.f64 x)) 1)
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) 1)
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 1)
(*.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1)
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (cbrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) (pow.f64 (+.f64 1 (exp.f64 x)) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2)) (sqrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 1/2))
(/.f64 (sqrt.f64 (-.f64 1 (exp.f64 (+.f64 x x)))) (sqrt.f64 (-.f64 1 (exp.f64 x))))
(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3))) (sqrt.f64 (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x)))))
(pow.f64 (+.f64 1 (exp.f64 x)) 1/2)
(pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 3)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2) 1/3)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) 2)
(fabs.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))

simplify96.0ms (2.3%)

Algorithm
1×egg-herbie
Rules
1132×distribute-lft-in
1108×distribute-rgt-in
1058×times-frac
954×fma-def
478×associate-+r+
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01561842
13581598
211951260
336011232
Stop Event
1×node limit
Counts
66 → 98
Calls
Call 1
Inputs
2
(+.f64 2 x)
(+.f64 2 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x)))
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 x 2)) (sqrt.f64 2))) (*.f64 1/2 (/.f64 x (sqrt.f64 2)))))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 1/6 (*.f64 1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2)))) (pow.f64 x 3)) (sqrt.f64 2))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 x 2)) (sqrt.f64 2))) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))))
(-.f64 (+.f64 1 (+.f64 1 (exp.f64 x))) 1)
(-.f64 (/.f64 1 (-.f64 1 (exp.f64 x))) (/.f64 (exp.f64 (+.f64 x x)) (-.f64 1 (exp.f64 x))))
(*.f64 1 (+.f64 1 (exp.f64 x)))
(*.f64 (+.f64 1 (exp.f64 x)) 1)
(*.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) (sqrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2))
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2) (cbrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) (*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(*.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (/.f64 1 (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x)))))
(*.f64 (-.f64 1 (exp.f64 (+.f64 x x))) (/.f64 1 (-.f64 1 (exp.f64 x))))
(*.f64 (*.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)) (pow.f64 (+.f64 1 (exp.f64 x)) 1/4))
(*.f64 (*.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) (cbrt.f64 (+.f64 1 (exp.f64 x)))) (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(/.f64 1 (/.f64 (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x))) (+.f64 1 (pow.f64 (exp.f64 x) 3))))
(/.f64 1 (/.f64 (-.f64 1 (exp.f64 x)) (-.f64 1 (exp.f64 (+.f64 x x)))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (+.f64 (exp.f64 (+.f64 x x)) (-.f64 1 (exp.f64 x))))
(/.f64 (-.f64 1 (exp.f64 (+.f64 x x))) (-.f64 1 (exp.f64 x)))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3))) (neg.f64 (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x)))))
(/.f64 (neg.f64 (-.f64 1 (exp.f64 (+.f64 x x)))) (neg.f64 (-.f64 1 (exp.f64 x))))
(/.f64 (-.f64 (exp.f64 (+.f64 x x)) 1) (expm1.f64 x))
(pow.f64 (+.f64 1 (exp.f64 x)) 1)
(pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 2)
(pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 3)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 2))
(log.f64 (exp.f64 (+.f64 1 (exp.f64 x))))
(cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3))
(expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 x))))
(exp.f64 (log1p.f64 (exp.f64 x)))
(log1p.f64 (expm1.f64 (+.f64 1 (exp.f64 x))))
(fma.f64 1 (exp.f64 x) 1)
(fma.f64 (cbrt.f64 (exp.f64 (+.f64 x x))) (cbrt.f64 (exp.f64 x)) 1)
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) 1)
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 1)
(*.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1)
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (cbrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) (pow.f64 (+.f64 1 (exp.f64 x)) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2)) (sqrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 1/2))
(/.f64 (sqrt.f64 (-.f64 1 (exp.f64 (+.f64 x x)))) (sqrt.f64 (-.f64 1 (exp.f64 x))))
(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3))) (sqrt.f64 (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x)))))
(pow.f64 (+.f64 1 (exp.f64 x)) 1/2)
(pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 3)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2) 1/3)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) 2)
(fabs.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
Outputs
2
(+.f64 2 x)
(+.f64 2 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(+.f64 2 (fma.f64 1/2 (*.f64 x x) x))
(+.f64 2 (fma.f64 x (*.f64 x 1/2) x))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x)))
(fma.f64 1/6 (pow.f64 x 3) (+.f64 2 (fma.f64 1/2 (*.f64 x x) x)))
(+.f64 (fma.f64 1/2 (*.f64 x x) x) (fma.f64 1/6 (pow.f64 x 3) 2))
(+.f64 2 (fma.f64 1/6 (pow.f64 x 3) (fma.f64 x (*.f64 x 1/2) x)))
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))
(fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (sqrt.f64 2))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 x 2)) (sqrt.f64 2))) (*.f64 1/2 (/.f64 x (sqrt.f64 2)))))
(+.f64 (sqrt.f64 2) (*.f64 1/2 (+.f64 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (/.f64 (sqrt.f64 2) (*.f64 x x))) (/.f64 x (sqrt.f64 2)))))
(fma.f64 1/2 (+.f64 (/.f64 x (sqrt.f64 2)) (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (/.f64 (sqrt.f64 2) (*.f64 x x)))) (sqrt.f64 2))
(fma.f64 1/2 (fma.f64 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (sqrt.f64 2)) (*.f64 x x) (/.f64 x (sqrt.f64 2))) (sqrt.f64 2))
(+.f64 (sqrt.f64 2) (*.f64 (/.f64 1/2 (sqrt.f64 2)) (+.f64 x (*.f64 x (*.f64 x (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)))))))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 1/6 (*.f64 1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2)))) (pow.f64 x 3)) (sqrt.f64 2))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 x 2)) (sqrt.f64 2))) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))))
(+.f64 (sqrt.f64 2) (fma.f64 1/2 (/.f64 (+.f64 1/6 (*.f64 -1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2)))) (/.f64 (sqrt.f64 2) (pow.f64 x 3))) (*.f64 1/2 (+.f64 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (/.f64 (sqrt.f64 2) (*.f64 x x))) (/.f64 x (sqrt.f64 2))))))
(+.f64 (sqrt.f64 2) (fma.f64 1/2 (+.f64 (/.f64 x (sqrt.f64 2)) (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (/.f64 (sqrt.f64 2) (*.f64 x x)))) (/.f64 (*.f64 7/192 (pow.f64 x 3)) (sqrt.f64 2))))
(fma.f64 1/2 (fma.f64 (/.f64 7/96 (sqrt.f64 2)) (pow.f64 x 3) (fma.f64 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (sqrt.f64 2)) (*.f64 x x) (/.f64 x (sqrt.f64 2)))) (sqrt.f64 2))
(fma.f64 1/2 (fma.f64 (/.f64 7/96 (sqrt.f64 2)) (pow.f64 x 3) (fma.f64 (-.f64 (/.f64 1/2 (sqrt.f64 2)) (/.f64 (/.f64 1/4 (sqrt.f64 2)) 2)) (*.f64 x x) (/.f64 x (sqrt.f64 2)))) (sqrt.f64 2))
(-.f64 (+.f64 1 (+.f64 1 (exp.f64 x))) 1)
(+.f64 (+.f64 2 (exp.f64 x)) -1)
(+.f64 2 (-.f64 (exp.f64 x) 1))
(+.f64 2 (expm1.f64 x))
(-.f64 (/.f64 1 (-.f64 1 (exp.f64 x))) (/.f64 (exp.f64 (+.f64 x x)) (-.f64 1 (exp.f64 x))))
(/.f64 (-.f64 1 (exp.f64 (+.f64 x x))) (-.f64 1 (exp.f64 x)))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 2) x)) (-.f64 1 (exp.f64 x)))
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
(/.f64 (+.f64 2 (expm1.f64 x)) 1)
(*.f64 1 (+.f64 1 (exp.f64 x)))
(+.f64 (+.f64 2 (exp.f64 x)) -1)
(+.f64 2 (-.f64 (exp.f64 x) 1))
(+.f64 2 (expm1.f64 x))
(*.f64 (+.f64 1 (exp.f64 x)) 1)
(+.f64 (+.f64 2 (exp.f64 x)) -1)
(+.f64 2 (-.f64 (exp.f64 x) 1))
(+.f64 2 (expm1.f64 x))
(*.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) (sqrt.f64 (+.f64 1 (exp.f64 x))))
(+.f64 (+.f64 2 (exp.f64 x)) -1)
(+.f64 2 (-.f64 (exp.f64 x) 1))
(+.f64 2 (expm1.f64 x))
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2))
(+.f64 (+.f64 2 (exp.f64 x)) -1)
(+.f64 2 (-.f64 (exp.f64 x) 1))
(+.f64 2 (expm1.f64 x))
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(+.f64 (+.f64 2 (exp.f64 x)) -1)
(+.f64 2 (-.f64 (exp.f64 x) 1))
(+.f64 2 (expm1.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2) (cbrt.f64 (+.f64 1 (exp.f64 x))))
(+.f64 (+.f64 2 (exp.f64 x)) -1)
(+.f64 2 (-.f64 (exp.f64 x) 1))
(+.f64 2 (expm1.f64 x))
(*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) (*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(+.f64 (+.f64 2 (exp.f64 x)) -1)
(+.f64 2 (-.f64 (exp.f64 x) 1))
(+.f64 2 (expm1.f64 x))
(*.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (/.f64 1 (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x)))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (fma.f64 (exp.f64 x) (expm1.f64 x) 1))
(*.f64 (-.f64 1 (exp.f64 (+.f64 x x))) (/.f64 1 (-.f64 1 (exp.f64 x))))
(/.f64 (-.f64 1 (exp.f64 (+.f64 x x))) (-.f64 1 (exp.f64 x)))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 2) x)) (-.f64 1 (exp.f64 x)))
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
(/.f64 (+.f64 2 (expm1.f64 x)) 1)
(*.f64 (*.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)) (pow.f64 (+.f64 1 (exp.f64 x)) 1/4))
(+.f64 (+.f64 2 (exp.f64 x)) -1)
(+.f64 2 (-.f64 (exp.f64 x) 1))
(+.f64 2 (expm1.f64 x))
(*.f64 (*.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) (cbrt.f64 (+.f64 1 (exp.f64 x)))) (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(+.f64 (+.f64 2 (exp.f64 x)) -1)
(+.f64 2 (-.f64 (exp.f64 x) 1))
(+.f64 2 (expm1.f64 x))
(/.f64 1 (/.f64 (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x))) (+.f64 1 (pow.f64 (exp.f64 x) 3))))
(*.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (/.f64 1 (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x)))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (fma.f64 (exp.f64 x) (expm1.f64 x) 1))
(/.f64 1 (/.f64 (-.f64 1 (exp.f64 x)) (-.f64 1 (exp.f64 (+.f64 x x)))))
(/.f64 (-.f64 1 (exp.f64 (+.f64 x x))) (-.f64 1 (exp.f64 x)))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 2) x)) (-.f64 1 (exp.f64 x)))
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
(/.f64 (+.f64 2 (expm1.f64 x)) 1)
(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x))))
(*.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (/.f64 1 (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x)))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (fma.f64 (exp.f64 x) (expm1.f64 x) 1))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (+.f64 (exp.f64 (+.f64 x x)) (-.f64 1 (exp.f64 x))))
(*.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (/.f64 1 (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x)))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (fma.f64 (exp.f64 x) (expm1.f64 x) 1))
(/.f64 (-.f64 1 (exp.f64 (+.f64 x x))) (-.f64 1 (exp.f64 x)))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 2) x)) (-.f64 1 (exp.f64 x)))
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
(/.f64 (+.f64 2 (expm1.f64 x)) 1)
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3))) (neg.f64 (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x)))))
(*.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (/.f64 1 (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x)))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (fma.f64 (exp.f64 x) (expm1.f64 x) 1))
(/.f64 (neg.f64 (-.f64 1 (exp.f64 (+.f64 x x)))) (neg.f64 (-.f64 1 (exp.f64 x))))
(/.f64 (-.f64 1 (exp.f64 (+.f64 x x))) (-.f64 1 (exp.f64 x)))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 2) x)) (-.f64 1 (exp.f64 x)))
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
(/.f64 (+.f64 2 (expm1.f64 x)) 1)
(/.f64 (-.f64 (exp.f64 (+.f64 x x)) 1) (expm1.f64 x))
(/.f64 (-.f64 1 (exp.f64 (+.f64 x x))) (-.f64 1 (exp.f64 x)))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 2) x)) (-.f64 1 (exp.f64 x)))
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
(/.f64 (+.f64 2 (expm1.f64 x)) 1)
(pow.f64 (+.f64 1 (exp.f64 x)) 1)
(+.f64 (+.f64 2 (exp.f64 x)) -1)
(+.f64 2 (-.f64 (exp.f64 x) 1))
(+.f64 2 (expm1.f64 x))
(pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 2)
(+.f64 (+.f64 2 (exp.f64 x)) -1)
(+.f64 2 (-.f64 (exp.f64 x) 1))
(+.f64 2 (expm1.f64 x))
(pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 3)
(+.f64 (+.f64 2 (exp.f64 x)) -1)
(+.f64 2 (-.f64 (exp.f64 x) 1))
(+.f64 2 (expm1.f64 x))
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 2) 1/2)
(+.f64 (+.f64 2 (exp.f64 x)) -1)
(+.f64 2 (-.f64 (exp.f64 x) 1))
(+.f64 2 (expm1.f64 x))
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3) 1/3)
(+.f64 (+.f64 2 (exp.f64 x)) -1)
(+.f64 2 (-.f64 (exp.f64 x) 1))
(+.f64 2 (expm1.f64 x))
(sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 2))
(+.f64 (+.f64 2 (exp.f64 x)) -1)
(+.f64 2 (-.f64 (exp.f64 x) 1))
(+.f64 2 (expm1.f64 x))
(log.f64 (exp.f64 (+.f64 1 (exp.f64 x))))
(+.f64 (+.f64 2 (exp.f64 x)) -1)
(+.f64 2 (-.f64 (exp.f64 x) 1))
(+.f64 2 (expm1.f64 x))
(cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3))
(+.f64 (+.f64 2 (exp.f64 x)) -1)
(+.f64 2 (-.f64 (exp.f64 x) 1))
(+.f64 2 (expm1.f64 x))
(expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 x))))
(+.f64 (+.f64 2 (exp.f64 x)) -1)
(+.f64 2 (-.f64 (exp.f64 x) 1))
(+.f64 2 (expm1.f64 x))
(exp.f64 (log1p.f64 (exp.f64 x)))
(log1p.f64 (expm1.f64 (+.f64 1 (exp.f64 x))))
(+.f64 (+.f64 2 (exp.f64 x)) -1)
(+.f64 2 (-.f64 (exp.f64 x) 1))
(+.f64 2 (expm1.f64 x))
(fma.f64 1 (exp.f64 x) 1)
(+.f64 (+.f64 2 (exp.f64 x)) -1)
(+.f64 2 (-.f64 (exp.f64 x) 1))
(+.f64 2 (expm1.f64 x))
(fma.f64 (cbrt.f64 (exp.f64 (+.f64 x x))) (cbrt.f64 (exp.f64 x)) 1)
(fma.f64 (cbrt.f64 (pow.f64 (exp.f64 2) x)) (cbrt.f64 (exp.f64 x)) 1)
(fma.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 2)) (cbrt.f64 (exp.f64 x)) 1)
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) 1)
(+.f64 (+.f64 2 (exp.f64 x)) -1)
(+.f64 2 (-.f64 (exp.f64 x) 1))
(+.f64 2 (expm1.f64 x))
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 1)
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1))
(+.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 0)
(sqrt.f64 (+.f64 2 (expm1.f64 x)))
(*.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1))
(+.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 0)
(sqrt.f64 (+.f64 2 (expm1.f64 x)))
(*.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1)
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1))
(+.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 0)
(sqrt.f64 (+.f64 2 (expm1.f64 x)))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (cbrt.f64 (+.f64 1 (exp.f64 x))))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1))
(+.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 0)
(sqrt.f64 (+.f64 2 (expm1.f64 x)))
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1))
(+.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 0)
(sqrt.f64 (+.f64 2 (expm1.f64 x)))
(*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) (pow.f64 (+.f64 1 (exp.f64 x)) 1/4))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1))
(+.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 0)
(sqrt.f64 (+.f64 2 (expm1.f64 x)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2)) (sqrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1))
(+.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 0)
(sqrt.f64 (+.f64 2 (expm1.f64 x)))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 1 (exp.f64 x))))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1))
(+.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 0)
(sqrt.f64 (+.f64 2 (expm1.f64 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 1/2))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1))
(+.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 0)
(sqrt.f64 (+.f64 2 (expm1.f64 x)))
(/.f64 (sqrt.f64 (-.f64 1 (exp.f64 (+.f64 x x)))) (sqrt.f64 (-.f64 1 (exp.f64 x))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (exp.f64 2) x))) (sqrt.f64 (-.f64 1 (exp.f64 x))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2))) (sqrt.f64 (neg.f64 (expm1.f64 x))))
(/.f64 (sqrt.f64 (neg.f64 (expm1.f64 (+.f64 x x)))) (sqrt.f64 (neg.f64 (expm1.f64 x))))
(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3))) (sqrt.f64 (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x)))))
(/.f64 (hypot.f64 1 (pow.f64 (exp.f64 x) 3/2)) (sqrt.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1)))
(pow.f64 (+.f64 1 (exp.f64 x)) 1/2)
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1))
(+.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 0)
(sqrt.f64 (+.f64 2 (expm1.f64 x)))
(pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1)
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1))
(+.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 0)
(sqrt.f64 (+.f64 2 (expm1.f64 x)))
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 3)
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1))
(+.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 0)
(sqrt.f64 (+.f64 2 (expm1.f64 x)))
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2) 1/3)
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1))
(+.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 0)
(sqrt.f64 (+.f64 2 (expm1.f64 x)))
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) 2)
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1))
(+.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 0)
(sqrt.f64 (+.f64 2 (expm1.f64 x)))
(fabs.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1))
(+.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 0)
(sqrt.f64 (+.f64 2 (expm1.f64 x)))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1))
(+.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 0)
(sqrt.f64 (+.f64 2 (expm1.f64 x)))
(cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1))
(+.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 0)
(sqrt.f64 (+.f64 2 (expm1.f64 x)))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1))
(+.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 0)
(sqrt.f64 (+.f64 2 (expm1.f64 x)))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1))
(+.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 0)
(sqrt.f64 (+.f64 2 (expm1.f64 x)))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))
(pow.f64 (exp.f64 (log1p.f64 (exp.f64 x))) 1/2)
(sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x))))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1))
(+.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 0)
(sqrt.f64 (+.f64 2 (expm1.f64 x)))

localize8.0ms (0.2%)

Local Accuracy

Found 2 expressions with local accuracy:

NewAccuracyProgram
✓100.0%
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
✓100.0%
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
Compiler

Compiled 26 to 6 computations (76.9% saved)

series2.0ms (0.1%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
1.0ms
x
@-inf
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
0.0ms
x
@-inf
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
0.0ms
x
@0
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
0.0ms
x
@inf
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))

rewrite95.0ms (2.3%)

Algorithm
1×batch-egg-rewrite
Rules
1854×pow1
1722×add-exp-log
1720×log1p-expm1-u
1716×expm1-log1p-u
1684×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0946
118746
2255446
Stop Event
1×node limit
Counts
2 → 65
Calls
Call 1
Inputs
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
Outputs
(-.f64 (+.f64 1 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 1)
(-.f64 (/.f64 (pow.f64 (exp.f64 2) x) (expm1.f64 x)) (/.f64 1 (expm1.f64 x)))
(*.f64 (expm1.f64 (+.f64 x x)) (/.f64 1 (expm1.f64 x)))
(*.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 1)
(*.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))
(*.f64 1 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 2))
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 2) (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))) 2) (*.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))) (/.f64 1 (expm1.f64 x))))
(*.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 1/4) (*.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 1/4) (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))
(*.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (*.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (/.f64 1 (expm1.f64 x))))
(*.f64 (neg.f64 (expm1.f64 (+.f64 x x))) (/.f64 1 (neg.f64 (expm1.f64 x))))
(*.f64 (/.f64 1 (expm1.f64 x)) (expm1.f64 (+.f64 x x)))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 1/4)) (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 1/4))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (/.f64 (expm1.f64 (+.f64 x x)) (cbrt.f64 (expm1.f64 x))))
(*.f64 (/.f64 1 (sqrt.f64 (expm1.f64 x))) (/.f64 (expm1.f64 (+.f64 x x)) (sqrt.f64 (expm1.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))) 2) 1) (/.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))) (expm1.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))) 2) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))) 2) (sqrt.f64 (expm1.f64 x))) (/.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))) (sqrt.f64 (expm1.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) 1) (/.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (expm1.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (/.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (cbrt.f64 (expm1.f64 x))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))
(pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 1)
(pow.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 2)
(pow.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 3)
(pow.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 3) 1/3)
(pow.f64 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x))) -1)
(neg.f64 (/.f64 (expm1.f64 (+.f64 x x)) (neg.f64 (expm1.f64 x))))
(sqrt.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 2))
(log.f64 (exp.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))
(cbrt.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 3))
(cbrt.f64 (/.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 3) (pow.f64 (expm1.f64 x) 3)))
(expm1.f64 (log1p.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))
(exp.f64 (log.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))
(log1p.f64 (expm1.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))
(-.f64 (+.f64 1 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) 1)
(*.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 1)
(*.f64 1 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))
(*.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 1/4) (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 1/4))
(*.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (sqrt.f64 (/.f64 1 (expm1.f64 x))))
(*.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (pow.f64 (/.f64 1 (expm1.f64 x)) 1/2))
(*.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (/.f64 1 (sqrt.f64 (expm1.f64 x))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 2)) (sqrt.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 2) 1/2) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 1/2))
(/.f64 1 (sqrt.f64 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x)))))
(/.f64 1 (/.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (expm1.f64 (+.f64 x x)))))
(/.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (sqrt.f64 (expm1.f64 x)))
(/.f64 (sqrt.f64 (neg.f64 (expm1.f64 (+.f64 x x)))) (sqrt.f64 (neg.f64 (expm1.f64 x))))
(/.f64 (neg.f64 (sqrt.f64 (expm1.f64 (+.f64 x x)))) (neg.f64 (sqrt.f64 (expm1.f64 x))))
(pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 1/2)
(pow.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) 3)
(pow.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 3/2) 1/3)
(pow.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 1/4) 2)
(fabs.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))
(log.f64 (exp.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))
(cbrt.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))
(exp.f64 (log.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))

simplify87.0ms (2.1%)

Algorithm
1×egg-herbie
Rules
1076×log-prod
812×fma-def
774×log-div
636×fma-neg
564×associate-/l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01932715
14472543
215642523
367272523
Stop Event
1×node limit
Counts
89 → 100
Calls
Call 1
Inputs
2
(+.f64 2 x)
(+.f64 2 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x)))
(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
(/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 -2 x))) 1) (-.f64 (exp.f64 x) 1))
(/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 -2 x))) 1) (-.f64 (exp.f64 x) 1))
(/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 -2 x))) 1) (-.f64 (exp.f64 x) 1))
(/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 -2 x))) 1) (-.f64 (exp.f64 x) 1))
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 x 2)) (sqrt.f64 2))) (*.f64 1/2 (/.f64 x (sqrt.f64 2)))))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 1/6 (*.f64 1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2)))) (pow.f64 x 3)) (sqrt.f64 2))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 x 2)) (sqrt.f64 2))) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 -2 x))) 1) (-.f64 (exp.f64 x) 1)))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 -2 x))) 1) (-.f64 (exp.f64 x) 1)))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 -2 x))) 1) (-.f64 (exp.f64 x) 1)))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 -2 x))) 1) (-.f64 (exp.f64 x) 1)))
(-.f64 (+.f64 1 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 1)
(-.f64 (/.f64 (pow.f64 (exp.f64 2) x) (expm1.f64 x)) (/.f64 1 (expm1.f64 x)))
(*.f64 (expm1.f64 (+.f64 x x)) (/.f64 1 (expm1.f64 x)))
(*.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 1)
(*.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))
(*.f64 1 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 2))
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 2) (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))) 2) (*.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))) (/.f64 1 (expm1.f64 x))))
(*.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 1/4) (*.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 1/4) (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))
(*.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (*.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (/.f64 1 (expm1.f64 x))))
(*.f64 (neg.f64 (expm1.f64 (+.f64 x x))) (/.f64 1 (neg.f64 (expm1.f64 x))))
(*.f64 (/.f64 1 (expm1.f64 x)) (expm1.f64 (+.f64 x x)))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 1/4)) (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 1/4))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (/.f64 (expm1.f64 (+.f64 x x)) (cbrt.f64 (expm1.f64 x))))
(*.f64 (/.f64 1 (sqrt.f64 (expm1.f64 x))) (/.f64 (expm1.f64 (+.f64 x x)) (sqrt.f64 (expm1.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))) 2) 1) (/.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))) (expm1.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))) 2) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))) 2) (sqrt.f64 (expm1.f64 x))) (/.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))) (sqrt.f64 (expm1.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) 1) (/.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (expm1.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (/.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (cbrt.f64 (expm1.f64 x))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))
(pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 1)
(pow.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 2)
(pow.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 3)
(pow.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 3) 1/3)
(pow.f64 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x))) -1)
(neg.f64 (/.f64 (expm1.f64 (+.f64 x x)) (neg.f64 (expm1.f64 x))))
(sqrt.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 2))
(log.f64 (exp.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))
(cbrt.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 3))
(cbrt.f64 (/.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 3) (pow.f64 (expm1.f64 x) 3)))
(expm1.f64 (log1p.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))
(exp.f64 (log.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))
(log1p.f64 (expm1.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))
(-.f64 (+.f64 1 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) 1)
(*.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 1)
(*.f64 1 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))
(*.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 1/4) (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 1/4))
(*.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (sqrt.f64 (/.f64 1 (expm1.f64 x))))
(*.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (pow.f64 (/.f64 1 (expm1.f64 x)) 1/2))
(*.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (/.f64 1 (sqrt.f64 (expm1.f64 x))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 2)) (sqrt.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 2) 1/2) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 1/2))
(/.f64 1 (sqrt.f64 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x)))))
(/.f64 1 (/.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (expm1.f64 (+.f64 x x)))))
(/.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (sqrt.f64 (expm1.f64 x)))
(/.f64 (sqrt.f64 (neg.f64 (expm1.f64 (+.f64 x x)))) (sqrt.f64 (neg.f64 (expm1.f64 x))))
(/.f64 (neg.f64 (sqrt.f64 (expm1.f64 (+.f64 x x)))) (neg.f64 (sqrt.f64 (expm1.f64 x))))
(pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 1/2)
(pow.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) 3)
(pow.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 3/2) 1/3)
(pow.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 1/4) 2)
(fabs.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))
(log.f64 (exp.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))
(cbrt.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))
(exp.f64 (log.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))
Outputs
2
(+.f64 2 x)
(+.f64 2 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(+.f64 2 (fma.f64 1/2 (*.f64 x x) x))
(fma.f64 x (*.f64 x 1/2) (+.f64 2 x))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x)))
(fma.f64 1/6 (pow.f64 x 3) (+.f64 2 (fma.f64 1/2 (*.f64 x x) x)))
(+.f64 (fma.f64 1/2 (*.f64 x x) x) (fma.f64 1/6 (pow.f64 x 3) 2))
(fma.f64 1/6 (pow.f64 x 3) (fma.f64 x (*.f64 x 1/2) (+.f64 2 x)))
(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
(/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 -2 x))) 1) (-.f64 (exp.f64 x) 1))
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
(/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 -2 x))) 1) (-.f64 (exp.f64 x) 1))
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
(/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 -2 x))) 1) (-.f64 (exp.f64 x) 1))
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
(/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 -2 x))) 1) (-.f64 (exp.f64 x) 1))
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))
(fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (sqrt.f64 2))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 x 2)) (sqrt.f64 2))) (*.f64 1/2 (/.f64 x (sqrt.f64 2)))))
(+.f64 (sqrt.f64 2) (*.f64 1/2 (+.f64 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (/.f64 (sqrt.f64 2) (*.f64 x x))) (/.f64 x (sqrt.f64 2)))))
(fma.f64 1/2 (+.f64 (/.f64 x (sqrt.f64 2)) (*.f64 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (sqrt.f64 2)) (*.f64 x x))) (sqrt.f64 2))
(fma.f64 1/2 (fma.f64 (-.f64 (/.f64 1/2 (sqrt.f64 2)) (/.f64 (/.f64 1/4 (sqrt.f64 2)) 2)) (*.f64 x x) (/.f64 x (sqrt.f64 2))) (sqrt.f64 2))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 1/6 (*.f64 1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2)))) (pow.f64 x 3)) (sqrt.f64 2))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 x 2)) (sqrt.f64 2))) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))))
(+.f64 (sqrt.f64 2) (fma.f64 1/2 (/.f64 (+.f64 1/6 (*.f64 -1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2)))) (/.f64 (sqrt.f64 2) (pow.f64 x 3))) (*.f64 1/2 (+.f64 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (/.f64 (sqrt.f64 2) (*.f64 x x))) (/.f64 x (sqrt.f64 2))))))
(+.f64 (sqrt.f64 2) (fma.f64 1/2 (+.f64 (/.f64 x (sqrt.f64 2)) (*.f64 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (sqrt.f64 2)) (*.f64 x x))) (/.f64 (*.f64 7/192 (pow.f64 x 3)) (sqrt.f64 2))))
(fma.f64 1/2 (fma.f64 (/.f64 7/96 (sqrt.f64 2)) (pow.f64 x 3) (fma.f64 (-.f64 (/.f64 1/2 (sqrt.f64 2)) (/.f64 (/.f64 1/4 (sqrt.f64 2)) 2)) (*.f64 x x) (/.f64 x (sqrt.f64 2)))) (sqrt.f64 2))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 -2 x))) 1) (-.f64 (exp.f64 x) 1)))
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 -2 x))) 1) (-.f64 (exp.f64 x) 1)))
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 -2 x))) 1) (-.f64 (exp.f64 x) 1)))
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 -2 x))) 1) (-.f64 (exp.f64 x) 1)))
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(-.f64 (+.f64 1 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 1)
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
(-.f64 (/.f64 (pow.f64 (exp.f64 2) x) (expm1.f64 x)) (/.f64 1 (expm1.f64 x)))
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
(*.f64 (expm1.f64 (+.f64 x x)) (/.f64 1 (expm1.f64 x)))
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
(*.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 1)
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
(*.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
(*.f64 1 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 2))
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) (*.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))))
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) 4))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 2) (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))) 2) (*.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))) (/.f64 1 (expm1.f64 x))))
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
(*.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 1/4) (*.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 1/4) (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
(*.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (*.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (/.f64 1 (expm1.f64 x))))
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
(*.f64 (neg.f64 (expm1.f64 (+.f64 x x))) (/.f64 1 (neg.f64 (expm1.f64 x))))
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
(*.f64 (/.f64 1 (expm1.f64 x)) (expm1.f64 (+.f64 x x)))
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 1/4)) (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 1/4))
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (/.f64 (expm1.f64 (+.f64 x x)) (cbrt.f64 (expm1.f64 x))))
(/.f64 (/.f64 (expm1.f64 (+.f64 x x)) (cbrt.f64 (expm1.f64 x))) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2))
(/.f64 (expm1.f64 (+.f64 x x)) (*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (cbrt.f64 (expm1.f64 x))))
(*.f64 (/.f64 1 (sqrt.f64 (expm1.f64 x))) (/.f64 (expm1.f64 (+.f64 x x)) (sqrt.f64 (expm1.f64 x))))
(/.f64 (/.f64 (expm1.f64 (+.f64 x x)) (sqrt.f64 (expm1.f64 x))) (sqrt.f64 (expm1.f64 x)))
(/.f64 (expm1.f64 (+.f64 x x)) (*.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (expm1.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))) 2) 1) (/.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))) (expm1.f64 x)))
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))) 2) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))) 2) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))) 2) (sqrt.f64 (expm1.f64 x))) (/.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))) (sqrt.f64 (expm1.f64 x))))
(*.f64 (/.f64 1 (sqrt.f64 (expm1.f64 x))) (/.f64 (expm1.f64 (+.f64 x x)) (sqrt.f64 (expm1.f64 x))))
(/.f64 (/.f64 (expm1.f64 (+.f64 x x)) (sqrt.f64 (expm1.f64 x))) (sqrt.f64 (expm1.f64 x)))
(/.f64 (expm1.f64 (+.f64 x x)) (*.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (expm1.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) 1) (/.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (expm1.f64 x)))
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (/.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (cbrt.f64 (expm1.f64 x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (/.f64 (expm1.f64 (+.f64 x x)) (cbrt.f64 (expm1.f64 x))))
(/.f64 (/.f64 (expm1.f64 (+.f64 x x)) (cbrt.f64 (expm1.f64 x))) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2))
(/.f64 (expm1.f64 (+.f64 x x)) (*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (cbrt.f64 (expm1.f64 x))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) (*.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))))
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) 4))
(pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 1)
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
(pow.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 2)
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
(pow.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 3)
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
(pow.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 2) 1/2)
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
(pow.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 3) 1/3)
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
(pow.f64 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x))) -1)
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
(neg.f64 (/.f64 (expm1.f64 (+.f64 x x)) (neg.f64 (expm1.f64 x))))
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
(sqrt.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 2))
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
(log.f64 (exp.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
(cbrt.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 3))
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
(cbrt.f64 (/.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 3) (pow.f64 (expm1.f64 x) 3)))
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
(expm1.f64 (log1p.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
(exp.f64 (log.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
(log1p.f64 (expm1.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
(-.f64 (+.f64 1 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) 1)
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(*.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 1)
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(*.f64 1 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))
(*.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 1/4) (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 1/4))
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(*.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (sqrt.f64 (/.f64 1 (expm1.f64 x))))
(*.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (pow.f64 (/.f64 1 (expm1.f64 x)) 1/2))
(*.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (sqrt.f64 (/.f64 1 (expm1.f64 x))))
(*.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (/.f64 1 (sqrt.f64 (expm1.f64 x))))
(/.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (sqrt.f64 (expm1.f64 x)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 2)) (sqrt.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))
(*.f64 (fabs.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) (sqrt.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) (sqrt.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 2) 1/2) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 2)) (sqrt.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))
(*.f64 (fabs.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) (sqrt.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) (sqrt.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))
(/.f64 1 (sqrt.f64 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x)))))
(/.f64 1 (/.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (expm1.f64 (+.f64 x x)))))
(*.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (/.f64 1 (sqrt.f64 (expm1.f64 x))))
(/.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (sqrt.f64 (expm1.f64 x)))
(/.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (sqrt.f64 (expm1.f64 x)))
(*.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (/.f64 1 (sqrt.f64 (expm1.f64 x))))
(/.f64 (sqrt.f64 (neg.f64 (expm1.f64 (+.f64 x x)))) (sqrt.f64 (neg.f64 (expm1.f64 x))))
(/.f64 (neg.f64 (sqrt.f64 (expm1.f64 (+.f64 x x)))) (neg.f64 (sqrt.f64 (expm1.f64 x))))
(*.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (/.f64 1 (sqrt.f64 (expm1.f64 x))))
(/.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (sqrt.f64 (expm1.f64 x)))
(pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 1/2)
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(pow.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 1)
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) 3)
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(pow.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 3/2) 1/3)
(cbrt.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 3/2))
(pow.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 1/4) 2)
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(fabs.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(log.f64 (exp.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(cbrt.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(exp.f64 (log.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))

eval53.0ms (1.3%)

Compiler

Compiled 2744 to 1516 computations (44.8% saved)

prune26.0ms (0.6%)

Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New1944198
Fresh000
Picked101
Done101
Total1964200
Accurracy
100.0%
Counts
200 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
▶100.0%
(sqrt.f64 (+.f64 2 (expm1.f64 x)))
▶62.3%
(sqrt.f64 (+.f64 2 x))
▶69.2%
(sqrt.f64 2)
Compiler

Compiled 20 to 17 computations (15% saved)

localize2.0ms (0%)

Compiler

Compiled 4 to 4 computations (0% saved)

localize5.0ms (0.1%)

Compiler

Compiled 10 to 7 computations (30% saved)

localize6.0ms (0.1%)

Local Accuracy

Found 2 expressions with local accuracy:

NewAccuracyProgram
✓100.0%
(sqrt.f64 (+.f64 2 (expm1.f64 x)))
✓100.0%
(+.f64 2 (expm1.f64 x))
Compiler

Compiled 14 to 8 computations (42.9% saved)

series1.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
0.0ms
x
@0
(sqrt.f64 (+.f64 2 (expm1.f64 x)))
0.0ms
x
@inf
(sqrt.f64 (+.f64 2 (expm1.f64 x)))
0.0ms
x
@-inf
(sqrt.f64 (+.f64 2 (expm1.f64 x)))
0.0ms
x
@0
(+.f64 2 (expm1.f64 x))
0.0ms
x
@inf
(+.f64 2 (expm1.f64 x))

rewrite59.0ms (1.4%)

Algorithm
1×batch-egg-rewrite
Rules
1612×pow1
1498×add-exp-log
1496×log1p-expm1-u
1494×expm1-log1p-u
1472×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0826
116626
2201126
Stop Event
1×node limit
Counts
2 → 59
Calls
Call 1
Inputs
(+.f64 2 (expm1.f64 x))
(sqrt.f64 (+.f64 2 (expm1.f64 x)))
Outputs
(-.f64 (exp.f64 x) -1)
(-.f64 (+.f64 1 (+.f64 2 (expm1.f64 x))) 1)
(-.f64 (/.f64 4 (-.f64 2 (expm1.f64 x))) (/.f64 (pow.f64 (expm1.f64 x) 2) (-.f64 2 (expm1.f64 x))))
(-.f64 (+.f64 2 (exp.f64 x)) 1)
(*.f64 (+.f64 2 (expm1.f64 x)) 1)
(*.f64 (sqrt.f64 (+.f64 2 (expm1.f64 x))) (sqrt.f64 (+.f64 2 (expm1.f64 x))))
(*.f64 1 (+.f64 2 (expm1.f64 x)))
(*.f64 (cbrt.f64 (+.f64 2 (expm1.f64 x))) (pow.f64 (cbrt.f64 (+.f64 2 (expm1.f64 x))) 2))
(*.f64 (cbrt.f64 (+.f64 2 (expm1.f64 x))) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 (expm1.f64 x)))) (sqrt.f64 (+.f64 2 (expm1.f64 x)))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 2 (expm1.f64 x))) 2) (cbrt.f64 (+.f64 2 (expm1.f64 x))))
(*.f64 (pow.f64 (+.f64 2 (expm1.f64 x)) 1/4) (*.f64 (pow.f64 (+.f64 2 (expm1.f64 x)) 1/4) (sqrt.f64 (+.f64 2 (expm1.f64 x)))))
(*.f64 (+.f64 (pow.f64 (expm1.f64 x) 3) 8) (/.f64 1 (+.f64 4 (*.f64 (expm1.f64 x) (-.f64 (expm1.f64 x) 2)))))
(*.f64 (-.f64 4 (pow.f64 (expm1.f64 x) 2)) (/.f64 1 (-.f64 2 (expm1.f64 x))))
(*.f64 (*.f64 (sqrt.f64 (+.f64 2 (expm1.f64 x))) (pow.f64 (+.f64 2 (expm1.f64 x)) 1/4)) (pow.f64 (+.f64 2 (expm1.f64 x)) 1/4))
(*.f64 (*.f64 (sqrt.f64 (+.f64 2 (expm1.f64 x))) (cbrt.f64 (+.f64 2 (expm1.f64 x)))) (cbrt.f64 (sqrt.f64 (+.f64 2 (expm1.f64 x)))))
(/.f64 1 (/.f64 (+.f64 4 (*.f64 (expm1.f64 x) (-.f64 (expm1.f64 x) 2))) (+.f64 (pow.f64 (expm1.f64 x) 3) 8)))
(/.f64 1 (/.f64 (-.f64 2 (expm1.f64 x)) (-.f64 4 (pow.f64 (expm1.f64 x) 2))))
(/.f64 (+.f64 (pow.f64 (expm1.f64 x) 3) 8) (+.f64 4 (*.f64 (expm1.f64 x) (-.f64 (expm1.f64 x) 2))))
(/.f64 (+.f64 (pow.f64 (expm1.f64 x) 3) 8) (+.f64 (pow.f64 (expm1.f64 x) 2) (-.f64 4 (*.f64 2 (expm1.f64 x)))))
(/.f64 (-.f64 4 (pow.f64 (expm1.f64 x) 2)) (-.f64 2 (expm1.f64 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (expm1.f64 x) 3) 8)) (neg.f64 (+.f64 4 (*.f64 (expm1.f64 x) (-.f64 (expm1.f64 x) 2)))))
(/.f64 (neg.f64 (-.f64 4 (pow.f64 (expm1.f64 x) 2))) (neg.f64 (-.f64 2 (expm1.f64 x))))
(/.f64 (-.f64 (pow.f64 (expm1.f64 x) 2) 4) (-.f64 (expm1.f64 x) 2))
(pow.f64 (+.f64 2 (expm1.f64 x)) 1)
(pow.f64 (sqrt.f64 (+.f64 2 (expm1.f64 x))) 2)
(pow.f64 (cbrt.f64 (+.f64 2 (expm1.f64 x))) 3)
(pow.f64 (pow.f64 (+.f64 2 (expm1.f64 x)) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 2 (expm1.f64 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 2 (expm1.f64 x)) 2))
(log.f64 (exp.f64 (+.f64 2 (expm1.f64 x))))
(cbrt.f64 (pow.f64 (+.f64 2 (expm1.f64 x)) 3))
(expm1.f64 (log1p.f64 (+.f64 2 (expm1.f64 x))))
(exp.f64 (log.f64 (+.f64 2 (expm1.f64 x))))
(log1p.f64 (expm1.f64 (+.f64 2 (expm1.f64 x))))
(fma.f64 1 (expm1.f64 x) 2)
(fma.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (cbrt.f64 (expm1.f64 x)) 2)
(fma.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (expm1.f64 x)) 2)
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 2 (expm1.f64 x)))) 1)
(*.f64 (sqrt.f64 (+.f64 2 (expm1.f64 x))) 1)
(*.f64 1 (sqrt.f64 (+.f64 2 (expm1.f64 x))))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 (expm1.f64 x)))) (cbrt.f64 (+.f64 2 (expm1.f64 x))))
(*.f64 (cbrt.f64 (+.f64 2 (expm1.f64 x))) (cbrt.f64 (sqrt.f64 (+.f64 2 (expm1.f64 x)))))
(*.f64 (pow.f64 (+.f64 2 (expm1.f64 x)) 1/4) (pow.f64 (+.f64 2 (expm1.f64 x)) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 2 (expm1.f64 x))) 2)) (sqrt.f64 (cbrt.f64 (+.f64 2 (expm1.f64 x)))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 2 (expm1.f64 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 2 (expm1.f64 x))) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 2 (expm1.f64 x))) 1/2))
(/.f64 (sqrt.f64 (-.f64 4 (pow.f64 (expm1.f64 x) 2))) (sqrt.f64 (-.f64 2 (expm1.f64 x))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (expm1.f64 x) 3) 8)) (sqrt.f64 (+.f64 4 (*.f64 (expm1.f64 x) (-.f64 (expm1.f64 x) 2)))))
(pow.f64 (+.f64 2 (expm1.f64 x)) 1/2)
(pow.f64 (sqrt.f64 (+.f64 2 (expm1.f64 x))) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 (expm1.f64 x)))) 3)
(pow.f64 (pow.f64 (+.f64 2 (expm1.f64 x)) 3/2) 1/3)
(pow.f64 (pow.f64 (+.f64 2 (expm1.f64 x)) 1/4) 2)
(fabs.f64 (sqrt.f64 (+.f64 2 (expm1.f64 x))))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 2 (expm1.f64 x)))))
(cbrt.f64 (pow.f64 (+.f64 2 (expm1.f64 x)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 2 (expm1.f64 x)))))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 2 (expm1.f64 x)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 2 (expm1.f64 x)))))

simplify71.0ms (1.7%)

Algorithm
1×egg-herbie
Rules
796×fma-def
584×log-prod
480×div-sub
442×fma-neg
406×exp-prod
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01661695
13861577
212921565
345041563
Stop Event
1×node limit
Counts
83 → 94
Calls
Call 1
Inputs
2
(+.f64 2 x)
(+.f64 2 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x)))
(+.f64 1 (exp.f64 x))
(+.f64 1 (exp.f64 x))
(+.f64 1 (exp.f64 x))
(+.f64 1 (exp.f64 x))
(+.f64 1 (exp.f64 x))
(+.f64 1 (exp.f64 x))
(+.f64 1 (exp.f64 x))
(+.f64 1 (exp.f64 x))
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 x 2)) (sqrt.f64 2))) (*.f64 1/2 (/.f64 x (sqrt.f64 2)))))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 1/6 (*.f64 1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2)))) (pow.f64 x 3)) (sqrt.f64 2))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 x 2)) (sqrt.f64 2))) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(-.f64 (exp.f64 x) -1)
(-.f64 (+.f64 1 (+.f64 2 (expm1.f64 x))) 1)
(-.f64 (/.f64 4 (-.f64 2 (expm1.f64 x))) (/.f64 (pow.f64 (expm1.f64 x) 2) (-.f64 2 (expm1.f64 x))))
(-.f64 (+.f64 2 (exp.f64 x)) 1)
(*.f64 (+.f64 2 (expm1.f64 x)) 1)
(*.f64 (sqrt.f64 (+.f64 2 (expm1.f64 x))) (sqrt.f64 (+.f64 2 (expm1.f64 x))))
(*.f64 1 (+.f64 2 (expm1.f64 x)))
(*.f64 (cbrt.f64 (+.f64 2 (expm1.f64 x))) (pow.f64 (cbrt.f64 (+.f64 2 (expm1.f64 x))) 2))
(*.f64 (cbrt.f64 (+.f64 2 (expm1.f64 x))) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 (expm1.f64 x)))) (sqrt.f64 (+.f64 2 (expm1.f64 x)))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 2 (expm1.f64 x))) 2) (cbrt.f64 (+.f64 2 (expm1.f64 x))))
(*.f64 (pow.f64 (+.f64 2 (expm1.f64 x)) 1/4) (*.f64 (pow.f64 (+.f64 2 (expm1.f64 x)) 1/4) (sqrt.f64 (+.f64 2 (expm1.f64 x)))))
(*.f64 (+.f64 (pow.f64 (expm1.f64 x) 3) 8) (/.f64 1 (+.f64 4 (*.f64 (expm1.f64 x) (-.f64 (expm1.f64 x) 2)))))
(*.f64 (-.f64 4 (pow.f64 (expm1.f64 x) 2)) (/.f64 1 (-.f64 2 (expm1.f64 x))))
(*.f64 (*.f64 (sqrt.f64 (+.f64 2 (expm1.f64 x))) (pow.f64 (+.f64 2 (expm1.f64 x)) 1/4)) (pow.f64 (+.f64 2 (expm1.f64 x)) 1/4))
(*.f64 (*.f64 (sqrt.f64 (+.f64 2 (expm1.f64 x))) (cbrt.f64 (+.f64 2 (expm1.f64 x)))) (cbrt.f64 (sqrt.f64 (+.f64 2 (expm1.f64 x)))))
(/.f64 1 (/.f64 (+.f64 4 (*.f64 (expm1.f64 x) (-.f64 (expm1.f64 x) 2))) (+.f64 (pow.f64 (expm1.f64 x) 3) 8)))
(/.f64 1 (/.f64 (-.f64 2 (expm1.f64 x)) (-.f64 4 (pow.f64 (expm1.f64 x) 2))))
(/.f64 (+.f64 (pow.f64 (expm1.f64 x) 3) 8) (+.f64 4 (*.f64 (expm1.f64 x) (-.f64 (expm1.f64 x) 2))))
(/.f64 (+.f64 (pow.f64 (expm1.f64 x) 3) 8) (+.f64 (pow.f64 (expm1.f64 x) 2) (-.f64 4 (*.f64 2 (expm1.f64 x)))))
(/.f64 (-.f64 4 (pow.f64 (expm1.f64 x) 2)) (-.f64 2 (expm1.f64 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (expm1.f64 x) 3) 8)) (neg.f64 (+.f64 4 (*.f64 (expm1.f64 x) (-.f64 (expm1.f64 x) 2)))))
(/.f64 (neg.f64 (-.f64 4 (pow.f64 (expm1.f64 x) 2))) (neg.f64 (-.f64 2 (expm1.f64 x))))
(/.f64 (-.f64 (pow.f64 (expm1.f64 x) 2) 4) (-.f64 (expm1.f64 x) 2))
(pow.f64 (+.f64 2 (expm1.f64 x)) 1)
(pow.f64 (sqrt.f64 (+.f64 2 (expm1.f64 x))) 2)
(pow.f64 (cbrt.f64 (+.f64 2 (expm1.f64 x))) 3)
(pow.f64 (pow.f64 (+.f64 2 (expm1.f64 x)) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 2 (expm1.f64 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 2 (expm1.f64 x)) 2))
(log.f64 (exp.f64 (+.f64 2 (expm1.f64 x))))
(cbrt.f64 (pow.f64 (+.f64 2 (expm1.f64 x)) 3))
(expm1.f64 (log1p.f64 (+.f64 2 (expm1.f64 x))))
(exp.f64 (log.f64 (+.f64 2 (expm1.f64 x))))
(log1p.f64 (expm1.f64 (+.f64 2 (expm1.f64 x))))
(fma.f64 1 (expm1.f64 x) 2)
(fma.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (cbrt.f64 (expm1.f64 x)) 2)
(fma.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (expm1.f64 x)) 2)
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 2 (expm1.f64 x)))) 1)
(*.f64 (sqrt.f64 (+.f64 2 (expm1.f64 x))) 1)
(*.f64 1 (sqrt.f64 (+.f64 2 (expm1.f64 x))))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 (expm1.f64 x)))) (cbrt.f64 (+.f64 2 (expm1.f64 x))))
(*.f64 (cbrt.f64 (+.f64 2 (expm1.f64 x))) (cbrt.f64 (sqrt.f64 (+.f64 2 (expm1.f64 x)))))
(*.f64 (pow.f64 (+.f64 2 (expm1.f64 x)) 1/4) (pow.f64 (+.f64 2 (expm1.f64 x)) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 2 (expm1.f64 x))) 2)) (sqrt.f64 (cbrt.f64 (+.f64 2 (expm1.f64 x)))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 2 (expm1.f64 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 2 (expm1.f64 x))) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 2 (expm1.f64 x))) 1/2))
(/.f64 (sqrt.f64 (-.f64 4 (pow.f64 (expm1.f64 x) 2))) (sqrt.f64 (-.f64 2 (expm1.f64 x))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (expm1.f64 x) 3) 8)) (sqrt.f64 (+.f64 4 (*.f64 (expm1.f64 x) (-.f64 (expm1.f64 x) 2)))))
(pow.f64 (+.f64 2 (expm1.f64 x)) 1/2)
(pow.f64 (sqrt.f64 (+.f64 2 (expm1.f64 x))) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 (expm1.f64 x)))) 3)
(pow.f64 (pow.f64 (+.f64 2 (expm1.f64 x)) 3/2) 1/3)
(pow.f64 (pow.f64 (+.f64 2 (expm1.f64 x)) 1/4) 2)
(fabs.f64 (sqrt.f64 (+.f64 2 (expm1.f64 x))))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 2 (expm1.f64 x)))))
(cbrt.f64 (pow.f64 (+.f64 2 (expm1.f64 x)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 2 (expm1.f64 x)))))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 2 (expm1.f64 x)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 2 (expm1.f64 x)))))
Outputs
2
(+.f64 2 x)
(+.f64 2 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(+.f64 2 (fma.f64 1/2 (*.f64 x x) x))
(+.f64 2 (fma.f64 x (*.f64 x 1/2) x))
(fma.f64 x (*.f64 x 1/2) (+.f64 2 x))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x)))
(fma.f64 1/6 (pow.f64 x 3) (+.f64 2 (fma.f64 1/2 (*.f64 x x) x)))
(+.f64 (fma.f64 1/2 (*.f64 x x) x) (fma.f64 1/6 (pow.f64 x 3) 2))
(fma.f64 1/6 (pow.f64 x 3) (+.f64 2 (fma.f64 x (*.f64 x 1/2) x)))
(fma.f64 1/6 (pow.f64 x 3) (fma.f64 x (*.f64 x 1/2) (+.f64 2 x)))
(+.f64 1 (exp.f64 x))
(+.f64 2 (expm1.f64 x))
(+.f64 1 (exp.f64 x))
(+.f64 2 (expm1.f64 x))
(+.f64 1 (exp.f64 x))
(+.f64 2 (expm1.f64 x))
(+.f64 1 (exp.f64 x))
(+.f64 2 (expm1.f64 x))
(+.f64 1 (exp.f64 x))
(+.f64 2 (expm1.f64 x))
(+.f64 1 (exp.f64 x))
(+.f64 2 (expm1.f64 x))
(+.f64 1 (exp.f64 x))
(+.f64 2 (expm1.f64 x))
(+.f64 1 (exp.f64 x))
(+.f64 2 (expm1.f64 x))
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))
(+.f64 (sqrt.f64 2) (/.f64 (*.f64 1/2 x) (sqrt.f64 2)))
(fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (sqrt.f64 2))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 x 2)) (sqrt.f64 2))) (*.f64 1/2 (/.f64 x (sqrt.f64 2)))))
(+.f64 (sqrt.f64 2) (*.f64 1/2 (+.f64 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (/.f64 (sqrt.f64 2) (*.f64 x x))) (/.f64 x (sqrt.f64 2)))))
(fma.f64 1/2 (+.f64 (/.f64 x (sqrt.f64 2)) (*.f64 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (sqrt.f64 2)) (*.f64 x x))) (sqrt.f64 2))
(fma.f64 1/2 (fma.f64 (-.f64 (/.f64 1/2 (sqrt.f64 2)) (/.f64 (/.f64 1/4 (sqrt.f64 2)) 2)) (*.f64 x x) (/.f64 x (sqrt.f64 2))) (sqrt.f64 2))
(+.f64 (sqrt.f64 2) (*.f64 (/.f64 1/2 (sqrt.f64 2)) (+.f64 x (*.f64 x (*.f64 x (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)))))))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 1/6 (*.f64 1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2)))) (pow.f64 x 3)) (sqrt.f64 2))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 x 2)) (sqrt.f64 2))) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))))
(+.f64 (sqrt.f64 2) (fma.f64 1/2 (/.f64 (+.f64 1/6 (*.f64 -1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2)))) (/.f64 (sqrt.f64 2) (pow.f64 x 3))) (*.f64 1/2 (+.f64 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (/.f64 (sqrt.f64 2) (*.f64 x x))) (/.f64 x (sqrt.f64 2))))))
(+.f64 (sqrt.f64 2) (fma.f64 1/2 (+.f64 (/.f64 x (sqrt.f64 2)) (*.f64 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (sqrt.f64 2)) (*.f64 x x))) (/.f64 (*.f64 7/192 (pow.f64 x 3)) (sqrt.f64 2))))
(fma.f64 1/2 (fma.f64 (/.f64 7/96 (sqrt.f64 2)) (pow.f64 x 3) (fma.f64 (-.f64 (/.f64 1/2 (sqrt.f64 2)) (/.f64 (/.f64 1/4 (sqrt.f64 2)) 2)) (*.f64 x x) (/.f64 x (sqrt.f64 2)))) (sqrt.f64 2))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 2 (expm1.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 2 (expm1.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 2 (expm1.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 2 (expm1.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 2 (expm1.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 2 (expm1.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 2 (expm1.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 2 (expm1.f64 x)))
(-.f64 (exp.f64 x) -1)
(+.f64 1 (exp.f64 x))
(+.f64 2 (expm1.f64 x))
(-.f64 (+.f64 1 (+.f64 2 (expm1.f64 x))) 1)
(+.f64 1 (exp.f64 x))
(+.f64 2 (expm1.f64 x))
(-.f64 (/.f64 4 (-.f64 2 (expm1.f64 x))) (/.f64 (pow.f64 (expm1.f64 x) 2) (-.f64 2 (expm1.f64 x))))
(/.f64 (-.f64 4 (pow.f64 (expm1.f64 x) 2)) (-.f64 2 (expm1.f64 x)))
(/.f64 (fma.f64 (expm1.f64 x) (expm1.f64 x) -4) (+.f64 (exp.f64 x) -3))
(-.f64 (+.f64 2 (exp.f64 x)) 1)
(+.f64 1 (exp.f64 x))
(+.f64 2 (expm1.f64 x))
(*.f64 (+.f64 2 (expm1.f64 x)) 1)
(+.f64 1 (exp.f64 x))
(+.f64 2 (expm1.f64 x))
(*.f64 (sqrt.f64 (+.f64 2 (expm1.f64 x))) (sqrt.f64 (+.f64 2 (expm1.f64 x))))
(+.f64 1 (exp.f64 x))
(+.f64 2 (expm1.f64 x))
(*.f64 1 (+.f64 2 (expm1.f64 x)))
(+.f64 1 (exp.f64 x))
(+.f64 2 (expm1.f64 x))
(*.f64 (cbrt.f64 (+.f64 2 (expm1.f64 x))) (pow.f64 (cbrt.f64 (+.f64 2 (expm1.f64 x))) 2))
(+.f64 1 (exp.f64 x))
(+.f64 2 (expm1.f64 x))
(*.f64 (cbrt.f64 (+.f64 2 (expm1.f64 x))) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 (expm1.f64 x)))) (sqrt.f64 (+.f64 2 (expm1.f64 x)))))
(+.f64 1 (exp.f64 x))
(+.f64 2 (expm1.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 2 (expm1.f64 x))) 2) (cbrt.f64 (+.f64 2 (expm1.f64 x))))
(+.f64 1 (exp.f64 x))
(+.f64 2 (expm1.f64 x))
(*.f64 (pow.f64 (+.f64 2 (expm1.f64 x)) 1/4) (*.f64 (pow.f64 (+.f64 2 (expm1.f64 x)) 1/4) (sqrt.f64 (+.f64 2 (expm1.f64 x)))))
(+.f64 1 (exp.f64 x))
(+.f64 2 (expm1.f64 x))
(*.f64 (+.f64 (pow.f64 (expm1.f64 x) 3) 8) (/.f64 1 (+.f64 4 (*.f64 (expm1.f64 x) (-.f64 (expm1.f64 x) 2)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (expm1.f64 x) 3) 8) 1) (+.f64 4 (*.f64 (expm1.f64 x) (+.f64 (expm1.f64 x) -2))))
(/.f64 (+.f64 (pow.f64 (expm1.f64 x) 3) 8) (fma.f64 (expm1.f64 x) (+.f64 (expm1.f64 x) -2) 4))
(/.f64 (+.f64 (pow.f64 (expm1.f64 x) 3) 8) (fma.f64 (expm1.f64 x) (+.f64 (exp.f64 x) -3) 4))
(*.f64 (-.f64 4 (pow.f64 (expm1.f64 x) 2)) (/.f64 1 (-.f64 2 (expm1.f64 x))))
(/.f64 (-.f64 4 (pow.f64 (expm1.f64 x) 2)) (-.f64 2 (expm1.f64 x)))
(/.f64 (fma.f64 (expm1.f64 x) (expm1.f64 x) -4) (+.f64 (exp.f64 x) -3))
(*.f64 (*.f64 (sqrt.f64 (+.f64 2 (expm1.f64 x))) (pow.f64 (+.f64 2 (expm1.f64 x)) 1/4)) (pow.f64 (+.f64 2 (expm1.f64 x)) 1/4))
(+.f64 1 (exp.f64 x))
(+.f64 2 (expm1.f64 x))
(*.f64 (*.f64 (sqrt.f64 (+.f64 2 (expm1.f64 x))) (cbrt.f64 (+.f64 2 (expm1.f64 x)))) (cbrt.f64 (sqrt.f64 (+.f64 2 (expm1.f64 x)))))
(+.f64 1 (exp.f64 x))
(+.f64 2 (expm1.f64 x))
(/.f64 1 (/.f64 (+.f64 4 (*.f64 (expm1.f64 x) (-.f64 (expm1.f64 x) 2))) (+.f64 (pow.f64 (expm1.f64 x) 3) 8)))
(/.f64 (*.f64 (+.f64 (pow.f64 (expm1.f64 x) 3) 8) 1) (+.f64 4 (*.f64 (expm1.f64 x) (+.f64 (expm1.f64 x) -2))))
(/.f64 (+.f64 (pow.f64 (expm1.f64 x) 3) 8) (fma.f64 (expm1.f64 x) (+.f64 (expm1.f64 x) -2) 4))
(/.f64 (+.f64 (pow.f64 (expm1.f64 x) 3) 8) (fma.f64 (expm1.f64 x) (+.f64 (exp.f64 x) -3) 4))
(/.f64 1 (/.f64 (-.f64 2 (expm1.f64 x)) (-.f64 4 (pow.f64 (expm1.f64 x) 2))))
(/.f64 (-.f64 4 (pow.f64 (expm1.f64 x) 2)) (-.f64 2 (expm1.f64 x)))
(/.f64 (fma.f64 (expm1.f64 x) (expm1.f64 x) -4) (+.f64 (exp.f64 x) -3))
(/.f64 (+.f64 (pow.f64 (expm1.f64 x) 3) 8) (+.f64 4 (*.f64 (expm1.f64 x) (-.f64 (expm1.f64 x) 2))))
(/.f64 (*.f64 (+.f64 (pow.f64 (expm1.f64 x) 3) 8) 1) (+.f64 4 (*.f64 (expm1.f64 x) (+.f64 (expm1.f64 x) -2))))
(/.f64 (+.f64 (pow.f64 (expm1.f64 x) 3) 8) (fma.f64 (expm1.f64 x) (+.f64 (expm1.f64 x) -2) 4))
(/.f64 (+.f64 (pow.f64 (expm1.f64 x) 3) 8) (fma.f64 (expm1.f64 x) (+.f64 (exp.f64 x) -3) 4))
(/.f64 (+.f64 (pow.f64 (expm1.f64 x) 3) 8) (+.f64 (pow.f64 (expm1.f64 x) 2) (-.f64 4 (*.f64 2 (expm1.f64 x)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (expm1.f64 x) 3) 8) 1) (+.f64 4 (*.f64 (expm1.f64 x) (+.f64 (expm1.f64 x) -2))))
(/.f64 (+.f64 (pow.f64 (expm1.f64 x) 3) 8) (fma.f64 (expm1.f64 x) (+.f64 (expm1.f64 x) -2) 4))
(/.f64 (+.f64 (pow.f64 (expm1.f64 x) 3) 8) (fma.f64 (expm1.f64 x) (+.f64 (exp.f64 x) -3) 4))
(/.f64 (-.f64 4 (pow.f64 (expm1.f64 x) 2)) (-.f64 2 (expm1.f64 x)))
(/.f64 (fma.f64 (expm1.f64 x) (expm1.f64 x) -4) (+.f64 (exp.f64 x) -3))
(/.f64 (neg.f64 (+.f64 (pow.f64 (expm1.f64 x) 3) 8)) (neg.f64 (+.f64 4 (*.f64 (expm1.f64 x) (-.f64 (expm1.f64 x) 2)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (expm1.f64 x) 3) 8) 1) (+.f64 4 (*.f64 (expm1.f64 x) (+.f64 (expm1.f64 x) -2))))
(/.f64 (+.f64 (pow.f64 (expm1.f64 x) 3) 8) (fma.f64 (expm1.f64 x) (+.f64 (expm1.f64 x) -2) 4))
(/.f64 (+.f64 (pow.f64 (expm1.f64 x) 3) 8) (fma.f64 (expm1.f64 x) (+.f64 (exp.f64 x) -3) 4))
(/.f64 (neg.f64 (-.f64 4 (pow.f64 (expm1.f64 x) 2))) (neg.f64 (-.f64 2 (expm1.f64 x))))
(/.f64 (-.f64 4 (pow.f64 (expm1.f64 x) 2)) (-.f64 2 (expm1.f64 x)))
(/.f64 (fma.f64 (expm1.f64 x) (expm1.f64 x) -4) (+.f64 (exp.f64 x) -3))
(/.f64 (-.f64 (pow.f64 (expm1.f64 x) 2) 4) (-.f64 (expm1.f64 x) 2))
(/.f64 (-.f64 4 (pow.f64 (expm1.f64 x) 2)) (-.f64 2 (expm1.f64 x)))
(/.f64 (fma.f64 (expm1.f64 x) (expm1.f64 x) -4) (+.f64 (exp.f64 x) -3))
(pow.f64 (+.f64 2 (expm1.f64 x)) 1)
(+.f64 1 (exp.f64 x))
(+.f64 2 (expm1.f64 x))
(pow.f64 (sqrt.f64 (+.f64 2 (expm1.f64 x))) 2)
(+.f64 1 (exp.f64 x))
(+.f64 2 (expm1.f64 x))
(pow.f64 (cbrt.f64 (+.f64 2 (expm1.f64 x))) 3)
(+.f64 1 (exp.f64 x))
(+.f64 2 (expm1.f64 x))
(pow.f64 (pow.f64 (+.f64 2 (expm1.f64 x)) 2) 1/2)
(+.f64 1 (exp.f64 x))
(+.f64 2 (expm1.f64 x))
(pow.f64 (pow.f64 (+.f64 2 (expm1.f64 x)) 3) 1/3)
(+.f64 1 (exp.f64 x))
(+.f64 2 (expm1.f64 x))
(sqrt.f64 (pow.f64 (+.f64 2 (expm1.f64 x)) 2))
(+.f64 1 (exp.f64 x))
(+.f64 2 (expm1.f64 x))
(log.f64 (exp.f64 (+.f64 2 (expm1.f64 x))))
(+.f64 1 (exp.f64 x))
(+.f64 2 (expm1.f64 x))
(cbrt.f64 (pow.f64 (+.f64 2 (expm1.f64 x)) 3))
(+.f64 1 (exp.f64 x))
(+.f64 2 (expm1.f64 x))
(expm1.f64 (log1p.f64 (+.f64 2 (expm1.f64 x))))
(+.f64 1 (exp.f64 x))
(+.f64 2 (expm1.f64 x))
(exp.f64 (log.f64 (+.f64 2 (expm1.f64 x))))
(+.f64 1 (exp.f64 x))
(+.f64 2 (expm1.f64 x))
(log1p.f64 (expm1.f64 (+.f64 2 (expm1.f64 x))))
(+.f64 1 (exp.f64 x))
(+.f64 2 (expm1.f64 x))
(fma.f64 1 (expm1.f64 x) 2)
(+.f64 1 (exp.f64 x))
(+.f64 2 (expm1.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (cbrt.f64 (expm1.f64 x)) 2)
(+.f64 1 (exp.f64 x))
(+.f64 2 (expm1.f64 x))
(fma.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (expm1.f64 x)) 2)
(+.f64 1 (exp.f64 x))
(+.f64 2 (expm1.f64 x))
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 2 (expm1.f64 x)))) 1)
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 2 (expm1.f64 x)))
(*.f64 (sqrt.f64 (+.f64 2 (expm1.f64 x))) 1)
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 2 (expm1.f64 x)))
(*.f64 1 (sqrt.f64 (+.f64 2 (expm1.f64 x))))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 2 (expm1.f64 x)))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 (expm1.f64 x)))) (cbrt.f64 (+.f64 2 (expm1.f64 x))))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 2 (expm1.f64 x)))
(*.f64 (cbrt.f64 (+.f64 2 (expm1.f64 x))) (cbrt.f64 (sqrt.f64 (+.f64 2 (expm1.f64 x)))))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 2 (expm1.f64 x)))
(*.f64 (pow.f64 (+.f64 2 (expm1.f64 x)) 1/4) (pow.f64 (+.f64 2 (expm1.f64 x)) 1/4))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 2 (expm1.f64 x)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 2 (expm1.f64 x))) 2)) (sqrt.f64 (cbrt.f64 (+.f64 2 (expm1.f64 x)))))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 2 (expm1.f64 x)))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 2 (expm1.f64 x))))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 2 (expm1.f64 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 2 (expm1.f64 x))) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 2 (expm1.f64 x))) 1/2))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 2 (expm1.f64 x)))
(/.f64 (sqrt.f64 (-.f64 4 (pow.f64 (expm1.f64 x) 2))) (sqrt.f64 (-.f64 2 (expm1.f64 x))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (expm1.f64 x) 3) 8)) (sqrt.f64 (+.f64 4 (*.f64 (expm1.f64 x) (-.f64 (expm1.f64 x) 2)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (expm1.f64 x) 3) 8)) (sqrt.f64 (+.f64 4 (*.f64 (expm1.f64 x) (+.f64 (expm1.f64 x) -2)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (expm1.f64 x) 3) 8)) (sqrt.f64 (fma.f64 (expm1.f64 x) (+.f64 (expm1.f64 x) -2) 4)))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (expm1.f64 x) 3) 8)) (sqrt.f64 (fma.f64 (expm1.f64 x) (+.f64 (exp.f64 x) -3) 4)))
(pow.f64 (+.f64 2 (expm1.f64 x)) 1/2)
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 2 (expm1.f64 x)))
(pow.f64 (sqrt.f64 (+.f64 2 (expm1.f64 x))) 1)
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 2 (expm1.f64 x)))
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 (expm1.f64 x)))) 3)
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 2 (expm1.f64 x)))
(pow.f64 (pow.f64 (+.f64 2 (expm1.f64 x)) 3/2) 1/3)
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 2 (expm1.f64 x)))
(pow.f64 (pow.f64 (+.f64 2 (expm1.f64 x)) 1/4) 2)
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 2 (expm1.f64 x)))
(fabs.f64 (sqrt.f64 (+.f64 2 (expm1.f64 x))))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 2 (expm1.f64 x)))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 2 (expm1.f64 x)))))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 2 (expm1.f64 x)))
(cbrt.f64 (pow.f64 (+.f64 2 (expm1.f64 x)) 3/2))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 2 (expm1.f64 x)))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 2 (expm1.f64 x)))))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 2 (expm1.f64 x)))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 2 (expm1.f64 x)))))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 2 (expm1.f64 x)))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 2 (expm1.f64 x)))))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 2 (expm1.f64 x)))

localize6.0ms (0.1%)

Local Accuracy

Found 1 expressions with local accuracy:

NewAccuracyProgram
✓100.0%
(sqrt.f64 (exp.f64 x))
Compiler

Compiled 13 to 6 computations (53.8% saved)

series1.0ms (0%)

Counts
1 → 4
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@-inf
(sqrt.f64 (exp.f64 x))
0.0ms
x
@inf
(sqrt.f64 (exp.f64 x))
0.0ms
x
@0
(sqrt.f64 (exp.f64 x))

rewrite50.0ms (1.2%)

Algorithm
1×batch-egg-rewrite
Rules
830×pow1
796×add-sqr-sqrt
782×*-un-lft-identity
762×add-exp-log
762×log1p-expm1-u
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
059
1969
210839
Stop Event
1×node limit
Counts
1 → 30
Calls
Call 1
Inputs
(sqrt.f64 (exp.f64 x))
Outputs
(+.f64 0 (sqrt.f64 (exp.f64 x)))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (exp.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (exp.f64 x))))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (exp.f64 x)))) (cbrt.f64 (exp.f64 (sqrt.f64 (exp.f64 x)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (exp.f64 x))))))
(-.f64 (+.f64 1 (sqrt.f64 (exp.f64 x))) 1)
(*.f64 (sqrt.f64 (exp.f64 x)) 1)
(*.f64 1 (sqrt.f64 (exp.f64 x)))
(*.f64 (pow.f64 (exp.f64 x) 1/6) (cbrt.f64 (exp.f64 x)))
(*.f64 (cbrt.f64 (exp.f64 x)) (pow.f64 (exp.f64 x) 1/6))
(*.f64 (pow.f64 (exp.f64 x) 1/4) (pow.f64 (exp.f64 x) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (sqrt.f64 (cbrt.f64 (exp.f64 x))))
(pow.f64 (exp.f64 x) 1/2)
(pow.f64 (sqrt.f64 (exp.f64 x)) 1)
(pow.f64 (pow.f64 (exp.f64 x) 1/6) 3)
(pow.f64 (cbrt.f64 (exp.f64 x)) 3/2)
(pow.f64 (exp.f64 (*.f64 x 3/2)) 1/3)
(pow.f64 (pow.f64 (exp.f64 x) 2) 1/4)
(pow.f64 (pow.f64 (exp.f64 x) 3) 1/6)
(pow.f64 (pow.f64 (exp.f64 x) 1/4) 2)
(pow.f64 (exp.f64 1) (*.f64 x 1/2))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (cbrt.f64 x) 1/2))
(pow.f64 (exp.f64 (sqrt.f64 x)) (*.f64 (sqrt.f64 x) 1/2))
(fabs.f64 (sqrt.f64 (exp.f64 x)))
(log.f64 (exp.f64 (sqrt.f64 (exp.f64 x))))
(cbrt.f64 (exp.f64 (*.f64 x 3/2)))
(expm1.f64 (log1p.f64 (sqrt.f64 (exp.f64 x))))
(exp.f64 (*.f64 x 1/2))
(exp.f64 (*.f64 (*.f64 1/3 (*.f64 x 1/2)) 3))
(exp.f64 (*.f64 (*.f64 3/2 x) 1/3))
(exp.f64 (*.f64 (*.f64 1/4 x) 2))
(log1p.f64 (expm1.f64 (sqrt.f64 (exp.f64 x))))

simplify56.0ms (1.3%)

Algorithm
1×egg-herbie
Rules
1772×fma-def
916×exp-prod
670×sqr-pow
668×fma-neg
512×cube-prod
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
092426
1210406
2469380
31655368
45460368
Stop Event
1×node limit
Counts
34 → 46
Calls
Call 1
Inputs
1
(+.f64 (*.f64 1/2 x) 1)
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) 1))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 1 (*.f64 1/48 (pow.f64 x 3)))))
(+.f64 0 (sqrt.f64 (exp.f64 x)))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (exp.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (exp.f64 x))))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (exp.f64 x)))) (cbrt.f64 (exp.f64 (sqrt.f64 (exp.f64 x)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (exp.f64 x))))))
(-.f64 (+.f64 1 (sqrt.f64 (exp.f64 x))) 1)
(*.f64 (sqrt.f64 (exp.f64 x)) 1)
(*.f64 1 (sqrt.f64 (exp.f64 x)))
(*.f64 (pow.f64 (exp.f64 x) 1/6) (cbrt.f64 (exp.f64 x)))
(*.f64 (cbrt.f64 (exp.f64 x)) (pow.f64 (exp.f64 x) 1/6))
(*.f64 (pow.f64 (exp.f64 x) 1/4) (pow.f64 (exp.f64 x) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (sqrt.f64 (cbrt.f64 (exp.f64 x))))
(pow.f64 (exp.f64 x) 1/2)
(pow.f64 (sqrt.f64 (exp.f64 x)) 1)
(pow.f64 (pow.f64 (exp.f64 x) 1/6) 3)
(pow.f64 (cbrt.f64 (exp.f64 x)) 3/2)
(pow.f64 (exp.f64 (*.f64 x 3/2)) 1/3)
(pow.f64 (pow.f64 (exp.f64 x) 2) 1/4)
(pow.f64 (pow.f64 (exp.f64 x) 3) 1/6)
(pow.f64 (pow.f64 (exp.f64 x) 1/4) 2)
(pow.f64 (exp.f64 1) (*.f64 x 1/2))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (cbrt.f64 x) 1/2))
(pow.f64 (exp.f64 (sqrt.f64 x)) (*.f64 (sqrt.f64 x) 1/2))
(fabs.f64 (sqrt.f64 (exp.f64 x)))
(log.f64 (exp.f64 (sqrt.f64 (exp.f64 x))))
(cbrt.f64 (exp.f64 (*.f64 x 3/2)))
(expm1.f64 (log1p.f64 (sqrt.f64 (exp.f64 x))))
(exp.f64 (*.f64 x 1/2))
(exp.f64 (*.f64 (*.f64 1/3 (*.f64 x 1/2)) 3))
(exp.f64 (*.f64 (*.f64 3/2 x) 1/3))
(exp.f64 (*.f64 (*.f64 1/4 x) 2))
(log1p.f64 (expm1.f64 (sqrt.f64 (exp.f64 x))))
Outputs
1
(+.f64 (*.f64 1/2 x) 1)
(fma.f64 1/2 x 1)
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) 1))
(fma.f64 1/8 (*.f64 x x) (fma.f64 1/2 x 1))
(fma.f64 1/2 x (fma.f64 x (*.f64 x 1/8) 1))
(fma.f64 x (fma.f64 x 1/8 1/2) 1)
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 1 (*.f64 1/48 (pow.f64 x 3)))))
(fma.f64 1/8 (*.f64 x x) (+.f64 (fma.f64 1/2 x 1) (*.f64 1/48 (pow.f64 x 3))))
(fma.f64 1/8 (*.f64 x x) (fma.f64 1/2 x (fma.f64 1/48 (pow.f64 x 3) 1)))
(fma.f64 1/2 x (fma.f64 x (*.f64 x 1/8) (fma.f64 1/48 (pow.f64 x 3) 1)))
(fma.f64 1/48 (pow.f64 x 3) (fma.f64 x (fma.f64 x 1/8 1/2) 1))
(+.f64 0 (sqrt.f64 (exp.f64 x)))
(sqrt.f64 (exp.f64 x))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (exp.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (exp.f64 x))))))
(sqrt.f64 (exp.f64 x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (exp.f64 x)))) (cbrt.f64 (exp.f64 (sqrt.f64 (exp.f64 x)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (exp.f64 x))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (exp.f64 x)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (exp.f64 x))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (exp.f64 x))))))
(-.f64 (+.f64 1 (sqrt.f64 (exp.f64 x))) 1)
(sqrt.f64 (exp.f64 x))
(*.f64 (sqrt.f64 (exp.f64 x)) 1)
(sqrt.f64 (exp.f64 x))
(*.f64 1 (sqrt.f64 (exp.f64 x)))
(sqrt.f64 (exp.f64 x))
(*.f64 (pow.f64 (exp.f64 x) 1/6) (cbrt.f64 (exp.f64 x)))
(sqrt.f64 (exp.f64 x))
(*.f64 (cbrt.f64 (exp.f64 x)) (pow.f64 (exp.f64 x) 1/6))
(sqrt.f64 (exp.f64 x))
(*.f64 (pow.f64 (exp.f64 x) 1/4) (pow.f64 (exp.f64 x) 1/4))
(sqrt.f64 (exp.f64 x))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (sqrt.f64 (cbrt.f64 (exp.f64 x))))
(sqrt.f64 (exp.f64 x))
(pow.f64 (exp.f64 x) 1/2)
(sqrt.f64 (exp.f64 x))
(pow.f64 (sqrt.f64 (exp.f64 x)) 1)
(sqrt.f64 (exp.f64 x))
(pow.f64 (pow.f64 (exp.f64 x) 1/6) 3)
(sqrt.f64 (exp.f64 x))
(pow.f64 (cbrt.f64 (exp.f64 x)) 3/2)
(sqrt.f64 (exp.f64 x))
(pow.f64 (exp.f64 (*.f64 x 3/2)) 1/3)
(sqrt.f64 (exp.f64 x))
(pow.f64 (pow.f64 (exp.f64 x) 2) 1/4)
(sqrt.f64 (exp.f64 x))
(pow.f64 (pow.f64 (exp.f64 x) 3) 1/6)
(sqrt.f64 (exp.f64 x))
(pow.f64 (pow.f64 (exp.f64 x) 1/4) 2)
(sqrt.f64 (exp.f64 x))
(pow.f64 (exp.f64 1) (*.f64 x 1/2))
(sqrt.f64 (exp.f64 x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (cbrt.f64 x) 1/2))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 x) 2)) (*.f64 1/2 (cbrt.f64 x)))
(pow.f64 (exp.f64 (sqrt.f64 x)) (*.f64 (sqrt.f64 x) 1/2))
(sqrt.f64 (exp.f64 x))
(fabs.f64 (sqrt.f64 (exp.f64 x)))
(sqrt.f64 (exp.f64 x))
(log.f64 (exp.f64 (sqrt.f64 (exp.f64 x))))
(sqrt.f64 (exp.f64 x))
(cbrt.f64 (exp.f64 (*.f64 x 3/2)))
(sqrt.f64 (exp.f64 x))
(expm1.f64 (log1p.f64 (sqrt.f64 (exp.f64 x))))
(sqrt.f64 (exp.f64 x))
(exp.f64 (*.f64 x 1/2))
(sqrt.f64 (exp.f64 x))
(exp.f64 (*.f64 (*.f64 1/3 (*.f64 x 1/2)) 3))
(sqrt.f64 (exp.f64 x))
(exp.f64 (*.f64 (*.f64 3/2 x) 1/3))
(sqrt.f64 (exp.f64 x))
(exp.f64 (*.f64 (*.f64 1/4 x) 2))
(sqrt.f64 (exp.f64 x))
(log1p.f64 (expm1.f64 (sqrt.f64 (exp.f64 x))))
(sqrt.f64 (exp.f64 x))

eval40.0ms (1%)

Compiler

Compiled 1671 to 1203 computations (28% saved)

prune16.0ms (0.4%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1382140
Fresh000
Picked101
Done033
Total1395144
Accurracy
100.0%
Counts
144 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶64.3%
(hypot.f64 1 (+.f64 (*.f64 1/2 x) 1))
▶100.0%
(hypot.f64 1 (exp.f64 (*.f64 x 1/2)))
✓100.0%
(sqrt.f64 (+.f64 2 (expm1.f64 x)))
✓62.3%
(sqrt.f64 (+.f64 2 x))
✓69.2%
(sqrt.f64 2)
Compiler

Compiled 29 to 25 computations (13.8% saved)

localize7.0ms (0.2%)

Compiler

Compiled 17 to 13 computations (23.5% saved)

localize9.0ms (0.2%)

Local Accuracy

Found 1 expressions with local accuracy:

NewAccuracyProgram
✓100.0%
(hypot.f64 1 (+.f64 (*.f64 1/2 x) 1))
Compiler

Compiled 19 to 15 computations (21.1% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@0
(hypot.f64 1 (+.f64 (*.f64 1/2 x) 1))
0.0ms
x
@-inf
(hypot.f64 1 (+.f64 (*.f64 1/2 x) 1))
0.0ms
x
@inf
(hypot.f64 1 (+.f64 (*.f64 1/2 x) 1))

rewrite53.0ms (1.3%)

Algorithm
1×batch-egg-rewrite
Rules
1538×pow1
1422×log1p-expm1-u
1422×expm1-log1p-u
1420×add-exp-log
1394×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0815
116715
2197415
Stop Event
1×node limit
Counts
1 → 17
Calls
Call 1
Inputs
(hypot.f64 1 (+.f64 (*.f64 1/2 x) 1))
Outputs
(-.f64 (+.f64 1 (hypot.f64 1 (fma.f64 1/2 x 1))) 1)
(*.f64 1 (hypot.f64 1 (fma.f64 1/2 x 1)))
(*.f64 (hypot.f64 1 (fma.f64 1/2 x 1)) 1)
(*.f64 (cbrt.f64 (hypot.f64 1 (fma.f64 1/2 x 1))) (cbrt.f64 (+.f64 1 (pow.f64 (fma.f64 1/2 x 1) 2))))
(*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (fma.f64 1/2 x 1) 2))) (cbrt.f64 (hypot.f64 1 (fma.f64 1/2 x 1))))
(*.f64 (sqrt.f64 (hypot.f64 1 (fma.f64 1/2 x 1))) (sqrt.f64 (hypot.f64 1 (fma.f64 1/2 x 1))))
(pow.f64 (hypot.f64 1 (fma.f64 1/2 x 1)) 1)
(pow.f64 (cbrt.f64 (hypot.f64 1 (fma.f64 1/2 x 1))) 3)
(pow.f64 (+.f64 1 (pow.f64 (fma.f64 1/2 x 1) 2)) 1/2)
(pow.f64 (pow.f64 (hypot.f64 1 (fma.f64 1/2 x 1)) 3) 1/3)
(pow.f64 (sqrt.f64 (hypot.f64 1 (fma.f64 1/2 x 1))) 2)
(sqrt.f64 (+.f64 1 (pow.f64 (fma.f64 1/2 x 1) 2)))
(log.f64 (exp.f64 (hypot.f64 1 (fma.f64 1/2 x 1))))
(cbrt.f64 (pow.f64 (hypot.f64 1 (fma.f64 1/2 x 1)) 3))
(expm1.f64 (log1p.f64 (hypot.f64 1 (fma.f64 1/2 x 1))))
(exp.f64 (log.f64 (hypot.f64 1 (fma.f64 1/2 x 1))))
(log1p.f64 (expm1.f64 (hypot.f64 1 (fma.f64 1/2 x 1))))

simplify76.0ms (1.8%)

Algorithm
1×egg-herbie
Rules
2028×fma-def
840×associate-*r/
750×associate-*l/
560×distribute-rgt-in
544×associate-*r*
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
078857
1194739
2662625
33328599
Stop Event
1×node limit
Counts
29 → 57
Calls
Call 1
Inputs
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 1/4 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 x 2)) (sqrt.f64 2))) (*.f64 1/2 (/.f64 x (sqrt.f64 2)))))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 1/4 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 x 2)) (sqrt.f64 2))) (+.f64 (*.f64 1/2 (/.f64 x (sqrt.f64 2))) (*.f64 -1/4 (/.f64 (*.f64 (-.f64 1/4 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 x 3)) (pow.f64 (sqrt.f64 2) 3))))))
(*.f64 1/2 x)
(+.f64 1 (*.f64 1/2 x))
(+.f64 1 (+.f64 (*.f64 1/2 x) (/.f64 1 x)))
(-.f64 (+.f64 1 (+.f64 (*.f64 1/2 x) (/.f64 1 x))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(*.f64 -1/2 x)
(-.f64 (*.f64 -1/2 x) 1)
(-.f64 (*.f64 -1/2 x) (+.f64 1 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 (pow.f64 x 2)))) (+.f64 1 (/.f64 1 x)))
(-.f64 (+.f64 1 (hypot.f64 1 (fma.f64 1/2 x 1))) 1)
(*.f64 1 (hypot.f64 1 (fma.f64 1/2 x 1)))
(*.f64 (hypot.f64 1 (fma.f64 1/2 x 1)) 1)
(*.f64 (cbrt.f64 (hypot.f64 1 (fma.f64 1/2 x 1))) (cbrt.f64 (+.f64 1 (pow.f64 (fma.f64 1/2 x 1) 2))))
(*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (fma.f64 1/2 x 1) 2))) (cbrt.f64 (hypot.f64 1 (fma.f64 1/2 x 1))))
(*.f64 (sqrt.f64 (hypot.f64 1 (fma.f64 1/2 x 1))) (sqrt.f64 (hypot.f64 1 (fma.f64 1/2 x 1))))
(pow.f64 (hypot.f64 1 (fma.f64 1/2 x 1)) 1)
(pow.f64 (cbrt.f64 (hypot.f64 1 (fma.f64 1/2 x 1))) 3)
(pow.f64 (+.f64 1 (pow.f64 (fma.f64 1/2 x 1) 2)) 1/2)
(pow.f64 (pow.f64 (hypot.f64 1 (fma.f64 1/2 x 1)) 3) 1/3)
(pow.f64 (sqrt.f64 (hypot.f64 1 (fma.f64 1/2 x 1))) 2)
(sqrt.f64 (+.f64 1 (pow.f64 (fma.f64 1/2 x 1) 2)))
(log.f64 (exp.f64 (hypot.f64 1 (fma.f64 1/2 x 1))))
(cbrt.f64 (pow.f64 (hypot.f64 1 (fma.f64 1/2 x 1)) 3))
(expm1.f64 (log1p.f64 (hypot.f64 1 (fma.f64 1/2 x 1))))
(exp.f64 (log.f64 (hypot.f64 1 (fma.f64 1/2 x 1))))
(log1p.f64 (expm1.f64 (hypot.f64 1 (fma.f64 1/2 x 1))))
Outputs
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))
(fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (sqrt.f64 2))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 1/4 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 x 2)) (sqrt.f64 2))) (*.f64 1/2 (/.f64 x (sqrt.f64 2)))))
(+.f64 (sqrt.f64 2) (*.f64 1/2 (+.f64 (/.f64 (-.f64 1/4 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (/.f64 (sqrt.f64 2) (*.f64 x x))) (/.f64 x (sqrt.f64 2)))))
(fma.f64 1/2 (+.f64 (/.f64 x (sqrt.f64 2)) (*.f64 (/.f64 (-.f64 1/4 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (sqrt.f64 2)) (*.f64 x x))) (sqrt.f64 2))
(fma.f64 1/2 (fma.f64 (/.f64 (-.f64 1/4 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (sqrt.f64 2)) (*.f64 x x) (/.f64 x (sqrt.f64 2))) (sqrt.f64 2))
(+.f64 (sqrt.f64 2) (*.f64 (/.f64 1/2 (sqrt.f64 2)) (+.f64 x (*.f64 x (*.f64 x (-.f64 1/4 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)))))))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 1/4 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 x 2)) (sqrt.f64 2))) (+.f64 (*.f64 1/2 (/.f64 x (sqrt.f64 2))) (*.f64 -1/4 (/.f64 (*.f64 (-.f64 1/4 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 x 3)) (pow.f64 (sqrt.f64 2) 3))))))
(+.f64 (sqrt.f64 2) (fma.f64 1/2 (/.f64 (-.f64 1/4 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (/.f64 (sqrt.f64 2) (*.f64 x x))) (fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (*.f64 -1/4 (/.f64 (-.f64 1/4 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (/.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 x 3)))))))
(+.f64 (sqrt.f64 2) (fma.f64 1/2 (+.f64 (/.f64 x (sqrt.f64 2)) (*.f64 (/.f64 (-.f64 1/4 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (sqrt.f64 2)) (*.f64 x x))) (*.f64 -1/8 (/.f64 (*.f64 (-.f64 1/4 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 x 3)) (sqrt.f64 2)))))
(fma.f64 1/2 (fma.f64 (/.f64 (-.f64 1/4 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (sqrt.f64 2)) (*.f64 x x) (/.f64 x (sqrt.f64 2))) (fma.f64 -1/8 (/.f64 (-.f64 1/4 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (/.f64 (sqrt.f64 2) (pow.f64 x 3))) (sqrt.f64 2)))
(+.f64 (fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (sqrt.f64 2)) (*.f64 (*.f64 x (/.f64 (-.f64 1/4 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (/.f64 (sqrt.f64 2) x))) (+.f64 1/2 (/.f64 -1/4 (/.f64 2 x)))))
(*.f64 1/2 x)
(+.f64 1 (*.f64 1/2 x))
(fma.f64 1/2 x 1)
(+.f64 1 (+.f64 (*.f64 1/2 x) (/.f64 1 x)))
(+.f64 1 (fma.f64 1/2 x (/.f64 1 x)))
(+.f64 (/.f64 1 x) (fma.f64 1/2 x 1))
(-.f64 (+.f64 1 (+.f64 (*.f64 1/2 x) (/.f64 1 x))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 1 (fma.f64 1/2 x (/.f64 1 x))) (/.f64 2 (*.f64 x x)))
(+.f64 1 (+.f64 (fma.f64 1/2 x (/.f64 1 x)) (/.f64 -2 (*.f64 x x))))
(+.f64 (/.f64 1 x) (+.f64 (fma.f64 1/2 x 1) (/.f64 (/.f64 -2 x) x)))
(+.f64 1 (-.f64 (/.f64 1 x) (fma.f64 x -1/2 (/.f64 2 (*.f64 x x)))))
(*.f64 -1/2 x)
(*.f64 x -1/2)
(-.f64 (*.f64 -1/2 x) 1)
(fma.f64 -1/2 x -1)
(fma.f64 x -1/2 -1)
(-.f64 (*.f64 -1/2 x) (+.f64 1 (/.f64 1 x)))
(-.f64 (fma.f64 -1/2 x -1) (/.f64 1 x))
(-.f64 (fma.f64 x -1/2 -1) (/.f64 1 x))
(+.f64 (fma.f64 x -1/2 -1) (/.f64 -1 x))
(-.f64 (+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 (pow.f64 x 2)))) (+.f64 1 (/.f64 1 x)))
(-.f64 (fma.f64 -1/2 x (/.f64 2 (*.f64 x x))) (+.f64 1 (/.f64 1 x)))
(+.f64 (/.f64 2 (*.f64 x x)) (-.f64 (fma.f64 x -1/2 -1) (/.f64 1 x)))
(-.f64 (fma.f64 x -1/2 -1) (+.f64 (/.f64 1 x) (/.f64 -2 (*.f64 x x))))
(-.f64 (+.f64 1 (hypot.f64 1 (fma.f64 1/2 x 1))) 1)
(+.f64 (+.f64 1 (hypot.f64 1 (fma.f64 1/2 x 1))) -1)
(+.f64 (hypot.f64 1 (fma.f64 1/2 x 1)) 0)
(hypot.f64 1 (fma.f64 1/2 x 1))
(*.f64 1 (hypot.f64 1 (fma.f64 1/2 x 1)))
(+.f64 (+.f64 1 (hypot.f64 1 (fma.f64 1/2 x 1))) -1)
(+.f64 (hypot.f64 1 (fma.f64 1/2 x 1)) 0)
(hypot.f64 1 (fma.f64 1/2 x 1))
(*.f64 (hypot.f64 1 (fma.f64 1/2 x 1)) 1)
(+.f64 (+.f64 1 (hypot.f64 1 (fma.f64 1/2 x 1))) -1)
(+.f64 (hypot.f64 1 (fma.f64 1/2 x 1)) 0)
(hypot.f64 1 (fma.f64 1/2 x 1))
(*.f64 (cbrt.f64 (hypot.f64 1 (fma.f64 1/2 x 1))) (cbrt.f64 (+.f64 1 (pow.f64 (fma.f64 1/2 x 1) 2))))
(+.f64 (+.f64 1 (hypot.f64 1 (fma.f64 1/2 x 1))) -1)
(+.f64 (hypot.f64 1 (fma.f64 1/2 x 1)) 0)
(hypot.f64 1 (fma.f64 1/2 x 1))
(*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (fma.f64 1/2 x 1) 2))) (cbrt.f64 (hypot.f64 1 (fma.f64 1/2 x 1))))
(+.f64 (+.f64 1 (hypot.f64 1 (fma.f64 1/2 x 1))) -1)
(+.f64 (hypot.f64 1 (fma.f64 1/2 x 1)) 0)
(hypot.f64 1 (fma.f64 1/2 x 1))
(*.f64 (sqrt.f64 (hypot.f64 1 (fma.f64 1/2 x 1))) (sqrt.f64 (hypot.f64 1 (fma.f64 1/2 x 1))))
(+.f64 (+.f64 1 (hypot.f64 1 (fma.f64 1/2 x 1))) -1)
(+.f64 (hypot.f64 1 (fma.f64 1/2 x 1)) 0)
(hypot.f64 1 (fma.f64 1/2 x 1))
(pow.f64 (hypot.f64 1 (fma.f64 1/2 x 1)) 1)
(+.f64 (+.f64 1 (hypot.f64 1 (fma.f64 1/2 x 1))) -1)
(+.f64 (hypot.f64 1 (fma.f64 1/2 x 1)) 0)
(hypot.f64 1 (fma.f64 1/2 x 1))
(pow.f64 (cbrt.f64 (hypot.f64 1 (fma.f64 1/2 x 1))) 3)
(+.f64 (+.f64 1 (hypot.f64 1 (fma.f64 1/2 x 1))) -1)
(+.f64 (hypot.f64 1 (fma.f64 1/2 x 1)) 0)
(hypot.f64 1 (fma.f64 1/2 x 1))
(pow.f64 (+.f64 1 (pow.f64 (fma.f64 1/2 x 1) 2)) 1/2)
(+.f64 (+.f64 1 (hypot.f64 1 (fma.f64 1/2 x 1))) -1)
(+.f64 (hypot.f64 1 (fma.f64 1/2 x 1)) 0)
(hypot.f64 1 (fma.f64 1/2 x 1))
(pow.f64 (pow.f64 (hypot.f64 1 (fma.f64 1/2 x 1)) 3) 1/3)
(+.f64 (+.f64 1 (hypot.f64 1 (fma.f64 1/2 x 1))) -1)
(+.f64 (hypot.f64 1 (fma.f64 1/2 x 1)) 0)
(hypot.f64 1 (fma.f64 1/2 x 1))
(pow.f64 (sqrt.f64 (hypot.f64 1 (fma.f64 1/2 x 1))) 2)
(+.f64 (+.f64 1 (hypot.f64 1 (fma.f64 1/2 x 1))) -1)
(+.f64 (hypot.f64 1 (fma.f64 1/2 x 1)) 0)
(hypot.f64 1 (fma.f64 1/2 x 1))
(sqrt.f64 (+.f64 1 (pow.f64 (fma.f64 1/2 x 1) 2)))
(+.f64 (+.f64 1 (hypot.f64 1 (fma.f64 1/2 x 1))) -1)
(+.f64 (hypot.f64 1 (fma.f64 1/2 x 1)) 0)
(hypot.f64 1 (fma.f64 1/2 x 1))
(log.f64 (exp.f64 (hypot.f64 1 (fma.f64 1/2 x 1))))
(+.f64 (+.f64 1 (hypot.f64 1 (fma.f64 1/2 x 1))) -1)
(+.f64 (hypot.f64 1 (fma.f64 1/2 x 1)) 0)
(hypot.f64 1 (fma.f64 1/2 x 1))
(cbrt.f64 (pow.f64 (hypot.f64 1 (fma.f64 1/2 x 1)) 3))
(+.f64 (+.f64 1 (hypot.f64 1 (fma.f64 1/2 x 1))) -1)
(+.f64 (hypot.f64 1 (fma.f64 1/2 x 1)) 0)
(hypot.f64 1 (fma.f64 1/2 x 1))
(expm1.f64 (log1p.f64 (hypot.f64 1 (fma.f64 1/2 x 1))))
(+.f64 (+.f64 1 (hypot.f64 1 (fma.f64 1/2 x 1))) -1)
(+.f64 (hypot.f64 1 (fma.f64 1/2 x 1)) 0)
(hypot.f64 1 (fma.f64 1/2 x 1))
(exp.f64 (log.f64 (hypot.f64 1 (fma.f64 1/2 x 1))))
(+.f64 (+.f64 1 (hypot.f64 1 (fma.f64 1/2 x 1))) -1)
(+.f64 (hypot.f64 1 (fma.f64 1/2 x 1)) 0)
(hypot.f64 1 (fma.f64 1/2 x 1))
(log1p.f64 (expm1.f64 (hypot.f64 1 (fma.f64 1/2 x 1))))
(+.f64 (+.f64 1 (hypot.f64 1 (fma.f64 1/2 x 1))) -1)
(+.f64 (hypot.f64 1 (fma.f64 1/2 x 1)) 0)
(hypot.f64 1 (fma.f64 1/2 x 1))

eval17.0ms (0.4%)

Compiler

Compiled 763 to 638 computations (16.4% saved)

prune11.0ms (0.3%)

Pruning

9 alts after pruning (4 fresh and 5 done)

PrunedKeptTotal
New53457
Fresh000
Picked011
Done044
Total53962
Accurracy
100.0%
Counts
62 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓64.3%
(hypot.f64 1 (+.f64 (*.f64 1/2 x) 1))
✓100.0%
(hypot.f64 1 (exp.f64 (*.f64 x 1/2)))
▶3.0%
(-.f64 (*.f64 -1/2 x) 1)
▶13.4%
(+.f64 1 (*.f64 1/2 x))
▶4.5%
(*.f64 x -1/2)
▶2.7%
(*.f64 1/2 x)
✓100.0%
(sqrt.f64 (+.f64 2 (expm1.f64 x)))
✓62.3%
(sqrt.f64 (+.f64 2 x))
✓69.2%
(sqrt.f64 2)
Compiler

Compiled 49 to 41 computations (16.3% saved)

localize3.0ms (0.1%)

Compiler

Compiled 6 to 4 computations (33.3% saved)

localize2.0ms (0.1%)

Compiler

Compiled 6 to 4 computations (33.3% saved)

localize5.0ms (0.1%)

Compiler

Compiled 12 to 9 computations (25% saved)

localize5.0ms (0.1%)

Compiler

Compiled 12 to 9 computations (25% saved)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune5.0ms (0.1%)

Pruning

9 alts after pruning (0 fresh and 9 done)

PrunedKeptTotal
New000
Fresh000
Picked011
Done088
Total099
Accurracy
100.0%
Counts
9 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓64.3%
(hypot.f64 1 (+.f64 (*.f64 1/2 x) 1))
✓100.0%
(hypot.f64 1 (exp.f64 (*.f64 x 1/2)))
✓3.0%
(-.f64 (*.f64 -1/2 x) 1)
✓13.4%
(+.f64 1 (*.f64 1/2 x))
✓4.5%
(*.f64 x -1/2)
✓2.7%
(*.f64 1/2 x)
✓100.0%
(sqrt.f64 (+.f64 2 (expm1.f64 x)))
✓62.3%
(sqrt.f64 (+.f64 2 x))
✓69.2%
(sqrt.f64 2)
Compiler

Compiled 49 to 41 computations (16.3% saved)

regimes15.0ms (0.4%)

Counts
13 → 1
Calls
Call 1
Inputs
(*.f64 1/2 x)
(*.f64 x -1/2)
(+.f64 1 (*.f64 1/2 x))
(-.f64 (*.f64 -1/2 x) 1)
(sqrt.f64 2)
(sqrt.f64 (+.f64 2 x))
(hypot.f64 1 (+.f64 (*.f64 1/2 x) 1))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 2 (expm1.f64 x)))
(hypot.f64 1 (exp.f64 (*.f64 x 1/2)))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
Outputs
(hypot.f64 1 (exp.f64 (*.f64 x 1/2)))
Calls

3 calls:

7.0ms
x
3.0ms
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
3.0ms
(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
100.0%1(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
Compiler

Compiled 98 to 75 computations (23.5% saved)

regimes55.0ms (1.3%)

Counts
9 → 1
Calls
Call 1
Inputs
(*.f64 1/2 x)
(*.f64 x -1/2)
(+.f64 1 (*.f64 1/2 x))
(-.f64 (*.f64 -1/2 x) 1)
(sqrt.f64 2)
(sqrt.f64 (+.f64 2 x))
(hypot.f64 1 (+.f64 (*.f64 1/2 x) 1))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 2 (expm1.f64 x)))
Outputs
(sqrt.f64 (+.f64 2 (expm1.f64 x)))
Calls

1 calls:

53.0ms
x
Results
AccuracySegmentsBranch
100.0%1x
Compiler

Compiled 42 to 33 computations (21.4% saved)

regimes7.0ms (0.2%)

Counts
8 → 1
Calls
Call 1
Inputs
(*.f64 1/2 x)
(*.f64 x -1/2)
(+.f64 1 (*.f64 1/2 x))
(-.f64 (*.f64 -1/2 x) 1)
(sqrt.f64 2)
(sqrt.f64 (+.f64 2 x))
(hypot.f64 1 (+.f64 (*.f64 1/2 x) 1))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
Outputs
(sqrt.f64 (+.f64 1 (exp.f64 x)))
Calls

1 calls:

5.0ms
x
Results
AccuracySegmentsBranch
100.0%1x
Compiler

Compiled 37 to 29 computations (21.6% saved)

regimes11.0ms (0.3%)

Counts
7 → 1
Calls
Call 1
Inputs
(*.f64 1/2 x)
(*.f64 x -1/2)
(+.f64 1 (*.f64 1/2 x))
(-.f64 (*.f64 -1/2 x) 1)
(sqrt.f64 2)
(sqrt.f64 (+.f64 2 x))
(hypot.f64 1 (+.f64 (*.f64 1/2 x) 1))
Outputs
(sqrt.f64 2)
Calls

1 calls:

10.0ms
x
Results
AccuracySegmentsBranch
69.2%1x
Compiler

Compiled 32 to 25 computations (21.9% saved)

regimes8.0ms (0.2%)

Counts
4 → 2
Calls
Call 1
Inputs
(*.f64 1/2 x)
(*.f64 x -1/2)
(+.f64 1 (*.f64 1/2 x))
(-.f64 (*.f64 -1/2 x) 1)
Outputs
(-.f64 (*.f64 -1/2 x) 1)
(+.f64 1 (*.f64 1/2 x))
Calls

1 calls:

7.0ms
x
Results
AccuracySegmentsBranch
15.1%2x
Compiler

Compiled 19 to 14 computations (26.3% saved)

bsearch16.0ms (0.4%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
16.0ms
-6.492096042540772
-0.14072309667656652
Results
14.0ms112×body256valid
Compiler

Compiled 115 to 98 computations (14.8% saved)

regimes7.0ms (0.2%)

Counts
3 → 2
Calls
Call 1
Inputs
(*.f64 1/2 x)
(*.f64 x -1/2)
(+.f64 1 (*.f64 1/2 x))
Outputs
(*.f64 x -1/2)
(+.f64 1 (*.f64 1/2 x))
Calls

1 calls:

6.0ms
x
Results
AccuracySegmentsBranch
15.1%2x
Compiler

Compiled 14 to 10 computations (28.6% saved)

bsearch15.0ms (0.4%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
15.0ms
-6.492096042540772
-0.14072309667656652
Results
14.0ms112×body256valid
Compiler

Compiled 101 to 84 computations (16.8% saved)

regimes4.0ms (0.1%)

Accuracy

Total -1.7b remaining (-2.8%)

Threshold costs -1.7b (-2.8%)

Counts
2 → 1
Calls
Call 1
Inputs
(*.f64 1/2 x)
(*.f64 x -1/2)
Outputs
(*.f64 x -1/2)
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
4.5%1x
Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify7.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
8×+-commutative
6×*-commutative
4×sub-neg
2×*-rgt-identity
2×mul-1-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032130
141130
244130
348130
Stop Event
1×done
1×saturated
Calls
Call 1
Inputs
(hypot.f64 1 (exp.f64 (*.f64 x 1/2)))
(sqrt.f64 (+.f64 2 (expm1.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 2)
(if (<=.f64 x -2) (-.f64 (*.f64 -1/2 x) 1) (+.f64 1 (*.f64 1/2 x)))
(if (<=.f64 x -1) (*.f64 x -1/2) (+.f64 1 (*.f64 1/2 x)))
(*.f64 x -1/2)
(*.f64 1/2 x)
Outputs
(hypot.f64 1 (exp.f64 (*.f64 x 1/2)))
(sqrt.f64 (+.f64 2 (expm1.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 2)
(if (<=.f64 x -2) (-.f64 (*.f64 -1/2 x) 1) (+.f64 1 (*.f64 1/2 x)))
(if (<=.f64 x -2) (-.f64 (*.f64 x -1/2) 1) (+.f64 1 (*.f64 x 1/2)))
(if (<=.f64 x -2) (+.f64 (*.f64 x -1/2) -1) (+.f64 1 (*.f64 x 1/2)))
(if (<=.f64 x -1) (*.f64 x -1/2) (+.f64 1 (*.f64 1/2 x)))
(if (<=.f64 x -1) (*.f64 x -1/2) (+.f64 1 (*.f64 x 1/2)))
(*.f64 x -1/2)
(*.f64 1/2 x)
(*.f64 x 1/2)
Compiler

Compiled 58 to 47 computations (19% saved)

soundness487.0ms (11.7%)

Rules
2028×fma-def
1452×pow1
1452×pow1
1382×associate-*r*
1340×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01325
12725
23625
36225
413021
535215
6135115
0826
115726
2186926
059
1969
210839
078857
1194739
2662625
33328599
0826
115726
2186926
01561842
13581598
211951260
336011232
Stop Event
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
Compiler

Compiled 211 to 150 computations (28.9% saved)

end114.0ms (2.7%)

Compiler

Compiled 51 to 40 computations (21.6% saved)

Profiling

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