Details

Time bar (total: 5.0s)

analyze176.0ms (3.5%)

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 (44.4%)

Results
1.1s2676×body1024valid
556.0ms3878×body256valid
290.0ms1388×body512valid
229.0ms314×body2048valid
6.0ms56×body256infinite
0.0ms2×body256unsamplable
Bogosity

preprocess51.0ms (1%)

Algorithm
2×egg-herbie
Rules
1440×associate-/l*
1382×associate-*r*
1160×associate-/r*
968×associate-*l*
702×fma-def
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01325
12725
23625
36225
413521
534915
6123815
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)

simplify36.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
1440×associate-/l*
1382×associate-*r*
1160×associate-/r*
968×associate-*l*
702×fma-def
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
01325
12725
23625
36225
413521
534915
6123815
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)

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New325
Fresh011
Picked000
Done000
Total336
Error
0b
Counts
6 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
▶38.9b
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
▶0.0b
(sqrt.f64 (+.f64 1 (exp.f64 x)))
Compiler

Compiled 19 to 16 computations (15.8% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(sqrt.f64 (+.f64 1 (exp.f64 x)))
✓0.0b
(+.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))

rewrite59.0ms (1.2%)

Algorithm
1×batch-egg-rewrite
Rules
1470×add-sqr-sqrt
1452×*-un-lft-identity
1352×add-cube-cbrt
1340×add-cbrt-cube
1328×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0826
115626
2185126
Stop Event
1×node limit
Counts
2 → 61
Calls
Call 1
Inputs
(+.f64 1 (exp.f64 x))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 1 (exp.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 (exp.f64 x))) (/.f64 (pow.f64 (exp.f64 x) 2) (-.f64 1 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (exp.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) (sqrt.f64 (+.f64 1 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((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)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((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)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2) (cbrt.f64 (+.f64 1 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)) (/.f64 1 (-.f64 1 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (/.f64 1 (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((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))))) (#(struct:change #<rule egg-rr> (2) ((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)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 1 (exp.f64 x)) (-.f64 1 (pow.f64 (exp.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x))) (+.f64 1 (pow.f64 (exp.f64 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)) (-.f64 1 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 1 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 x) 2) 1) (expm1.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2))) (neg.f64 (-.f64 1 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3))) (neg.f64 (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (exp.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 1 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (exp.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.f64 (exp.f64 x)) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) (pow.f64 (+.f64 1 (exp.f64 x)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (cbrt.f64 (+.f64 1 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2)) (sqrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 1 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((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))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3))) (sqrt.f64 (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2))) (sqrt.f64 (-.f64 1 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (exp.f64 x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 1 (sqrt.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))))))

simplify78.0ms (1.6%)

Algorithm
1×egg-herbie
Rules
1402×associate-/l*
1176×distribute-lft-in
1076×distribute-rgt-in
790×associate-/r*
648×*-commutative
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01612019
13821767
213741463
334991417
Stop Event
1×node limit
Counts
69 → 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)))
(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 (pow.f64 (exp.f64 x) 2) (-.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 (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 (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 (-.f64 1 (pow.f64 (exp.f64 x) 2)) (/.f64 1 (-.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 (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 (exp.f64 x)) (-.f64 1 (pow.f64 (exp.f64 x) 2))))
(/.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) 2)) (-.f64 1 (exp.f64 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 (pow.f64 (exp.f64 x) 2) (-.f64 1 (exp.f64 x))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 2) 1) (expm1.f64 x))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2))) (neg.f64 (-.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)))))
(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)))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1))
(log1p.f64 (expm1.f64 (+.f64 1 (exp.f64 x))))
(fma.f64 1 (exp.f64 x) 1)
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) 1)
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.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 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) (pow.f64 (+.f64 1 (exp.f64 x)) 1/4))
(*.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 (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 (pow.f64 (exp.f64 x) 3))) (sqrt.f64 (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x)))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2))) (sqrt.f64 (-.f64 1 (exp.f64 x))))
(pow.f64 (+.f64 1 (exp.f64 x)) 1/2)
(pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) 2)
(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)
(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 1/2 (log1p.f64 (exp.f64 x))))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))) 1))
(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))
(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)))
(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 (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 3/8 (sqrt.f64 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 7/192 (/.f64 (sqrt.f64 2) (pow.f64 x 3)))))
(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 3/8 (sqrt.f64 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 1 (exp.f64 x))
(-.f64 (/.f64 1 (-.f64 1 (exp.f64 x))) (/.f64 (pow.f64 (exp.f64 x) 2) (-.f64 1 (exp.f64 x))))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)) (-.f64 1 (exp.f64 x)))
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
(*.f64 1 (+.f64 1 (exp.f64 x)))
(+.f64 (+.f64 2 (exp.f64 x)) -1)
(+.f64 2 (+.f64 (exp.f64 x) -1))
(+.f64 1 (exp.f64 x))
(*.f64 (+.f64 1 (exp.f64 x)) 1)
(+.f64 (+.f64 2 (exp.f64 x)) -1)
(+.f64 2 (+.f64 (exp.f64 x) -1))
(+.f64 1 (exp.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 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 2 (exp.f64 x)) -1)
(+.f64 2 (+.f64 (exp.f64 x) -1))
(+.f64 1 (exp.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 1 (exp.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 (cbrt.f64 (+.f64 1 (exp.f64 x))) (*.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 4))
(*.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 1 (exp.f64 x))
(*.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)) (/.f64 1 (-.f64 1 (exp.f64 x))))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)) (-.f64 1 (exp.f64 x)))
(/.f64 (expm1.f64 (+.f64 x 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 (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 1 (exp.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 (cbrt.f64 (+.f64 1 (exp.f64 x))) (*.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 4))
(/.f64 1 (/.f64 (-.f64 1 (exp.f64 x)) (-.f64 1 (pow.f64 (exp.f64 x) 2))))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)) (-.f64 1 (exp.f64 x)))
(/.f64 (expm1.f64 (+.f64 x x)) (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 (-.f64 1 (pow.f64 (exp.f64 x) 2)) (-.f64 1 (exp.f64 x)))
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 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 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 (pow.f64 (exp.f64 x) 2) (-.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 (pow.f64 (exp.f64 x) 2) 1) (expm1.f64 x))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)) (-.f64 1 (exp.f64 x)))
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2))) (neg.f64 (-.f64 1 (exp.f64 x))))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)) (-.f64 1 (exp.f64 x)))
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.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 (+.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))
(pow.f64 (+.f64 1 (exp.f64 x)) 1)
(+.f64 (+.f64 2 (exp.f64 x)) -1)
(+.f64 2 (+.f64 (exp.f64 x) -1))
(+.f64 1 (exp.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 1 (exp.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 1 (exp.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 1 (exp.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 1 (exp.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 1 (exp.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 1 (exp.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 1 (exp.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 1 (exp.f64 x))
(exp.f64 (log1p.f64 (exp.f64 x)))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1))
(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 1 (exp.f64 x))
(fma.f64 1 (exp.f64 x) 1)
(+.f64 (+.f64 2 (exp.f64 x)) -1)
(+.f64 2 (+.f64 (exp.f64 x) -1))
(+.f64 1 (exp.f64 x))
(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 1 (exp.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.f64 (exp.f64 x)) 1)
(+.f64 (+.f64 2 (exp.f64 x)) -1)
(+.f64 2 (+.f64 (exp.f64 x) -1))
(+.f64 1 (exp.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 1 (exp.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 1 (exp.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 1 (exp.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 1 (exp.f64 x)))
(*.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 (cbrt.f64 (+.f64 1 (exp.f64 x))) (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.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 (fabs.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))) (sqrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))))
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (sqrt.f64 (cbrt.f64 (+.f64 1 (exp.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 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 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2)) (sqrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))))
(*.f64 (fabs.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))) (sqrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))))
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (sqrt.f64 (cbrt.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)))))
(/.f64 (hypot.f64 1 (pow.f64 (exp.f64 x) 3/2)) (sqrt.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1)))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2))) (sqrt.f64 (-.f64 1 (exp.f64 x))))
(/.f64 (sqrt.f64 (-.f64 1 (exp.f64 (+.f64 x x)))) (sqrt.f64 (neg.f64 (expm1.f64 x))))
(/.f64 (sqrt.f64 (neg.f64 (expm1.f64 (+.f64 x x)))) (sqrt.f64 (neg.f64 (expm1.f64 x))))
(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 1 (exp.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 1 (exp.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 1 (exp.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 1 (exp.f64 x)))
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2) 1/3)
(cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2))
(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 1 (exp.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 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)))))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1))
(+.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 0)
(sqrt.f64 (+.f64 1 (exp.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 1 (exp.f64 x)))
(exp.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))))
(pow.f64 (exp.f64 1/2) (log1p.f64 (exp.f64 x)))
(sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x))))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))
(pow.f64 (exp.f64 1/2) (log1p.f64 (exp.f64 x)))
(sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x))))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))) 1))
(pow.f64 (exp.f64 1/2) (log1p.f64 (exp.f64 x)))
(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 1 (exp.f64 x)))

localize24.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
✓0.0b
(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
✓3.0b
(-.f64 (exp.f64 (*.f64 2 x)) 1)
✓3.1b
(-.f64 (exp.f64 x) 1)
Compiler

Compiled 46 to 33 computations (28.3% saved)

series3.0ms (0.1%)

Counts
4 → 16
Calls

12 calls:

TimeVariablePointExpression
0.0ms
x
@inf
(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
0.0ms
x
@-inf
(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
0.0ms
x
@inf
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
0.0ms
x
@inf
(-.f64 (exp.f64 (*.f64 2 x)) 1)
0.0ms
x
@-inf
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))

rewrite102.0ms (2%)

Algorithm
1×batch-egg-rewrite
Rules
1708×associate-/r*
1398×associate-/l*
1034×associate-/r/
556×associate-/l/
270×add-sqr-sqrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01362
127642
2362942
Stop Event
1×node limit
Counts
4 → 313
Calls
Call 1
Inputs
(-.f64 (exp.f64 x) 1)
(-.f64 (exp.f64 (*.f64 2 x)) 1)
(/.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)))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (+.f64 (exp.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (sqrt.f64 (/.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (/.f64 1 (sqrt.f64 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (pow.f64 (/.f64 1 (expm1.f64 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4) (pow.f64 (+.f64 (exp.f64 x) 1) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) (cbrt.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))) (cbrt.f64 (+.f64 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(2) ((x exp.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))))))))

simplify138.0ms (2.7%)

Algorithm
1×egg-herbie
Rules
1558×associate-/r*
1038×associate-*r/
896×associate-*l/
832×*-commutative
824×associate-/l/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
075414225
1218413801
Stop Event
1×node limit
Counts
329 → 488
Calls
Call 1
Inputs
x
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/24 (pow.f64 x 4)) x)))
(*.f64 2 x)
(+.f64 (*.f64 2 (pow.f64 x 2)) (*.f64 2 x))
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 4/3 (pow.f64 x 3)) (*.f64 2 x)))
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 4/3 (pow.f64 x 3)) (*.f64 2 x))))
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 (exp.f64 x) -1)
(+.f64 -1 (exp.f64 x))
(+.f64 (-.f64 (/.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1)) (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x)))) (/.f64 1 (expm1.f64 (+.f64 x x))))
(*.f64 1 (expm1.f64 x))
(*.f64 (expm1.f64 x) 1)
(*.f64 (expm1.f64 (+.f64 x x)) (/.f64 1 (+.f64 (exp.f64 x) 1)))
(*.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (expm1.f64 x)))
(*.f64 (cbrt.f64 (expm1.f64 x)) (cbrt.f64 (pow.f64 (expm1.f64 x) 2)))
(*.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 2)) (cbrt.f64 (expm1.f64 x)))
(*.f64 (/.f64 1 (+.f64 (exp.f64 x) 1)) (expm1.f64 (+.f64 x x)))
(*.f64 (+.f64 -1 (exp.f64 (*.f64 x 3))) (/.f64 1 (+.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (exp.f64 x) 1))))
(*.f64 (/.f64 (expm1.f64 x) (expm1.f64 x)) (expm1.f64 x))
(*.f64 (+.f64 1 (sqrt.f64 (exp.f64 x))) (-.f64 (sqrt.f64 (exp.f64 x)) 1))
(*.f64 (/.f64 1 (+.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (exp.f64 x) 1))) (+.f64 -1 (exp.f64 (*.f64 x 3))))
(*.f64 (/.f64 (expm1.f64 (+.f64 x x)) (sqrt.f64 (expm1.f64 (+.f64 x x)))) (/.f64 (expm1.f64 x) (sqrt.f64 (expm1.f64 (+.f64 x x)))))
(*.f64 (/.f64 (expm1.f64 (+.f64 x x)) (pow.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))) 2)) (/.f64 (expm1.f64 x) (cbrt.f64 (expm1.f64 (+.f64 x x)))))
(*.f64 (/.f64 (expm1.f64 (+.f64 x x)) (neg.f64 (expm1.f64 (+.f64 x x)))) (neg.f64 (expm1.f64 x)))
(*.f64 (/.f64 (expm1.f64 (+.f64 x x)) -1) (neg.f64 (/.f64 1 (+.f64 (exp.f64 x) 1))))
(*.f64 (/.f64 (expm1.f64 (+.f64 x x)) (+.f64 (pow.f64 (pow.f64 (exp.f64 x) 2) 2) -1)) (*.f64 (expm1.f64 x) (fma.f64 (exp.f64 x) (exp.f64 x) 1)))
(*.f64 (/.f64 (expm1.f64 (+.f64 x x)) (+.f64 -1 (pow.f64 (pow.f64 (exp.f64 x) 2) 3))) (*.f64 (expm1.f64 x) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 1 (pow.f64 (pow.f64 (exp.f64 x) 2) 2)))))
(*.f64 (/.f64 (expm1.f64 (+.f64 x x)) (/.f64 (expm1.f64 (+.f64 x x)) (sqrt.f64 (expm1.f64 x)))) (sqrt.f64 (expm1.f64 x)))
(*.f64 (/.f64 (expm1.f64 (+.f64 x x)) (*.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)) (sqrt.f64 (expm1.f64 (+.f64 x x))))) (sqrt.f64 (expm1.f64 x)))
(*.f64 (/.f64 (expm1.f64 (+.f64 x x)) (*.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) 2) 2) -1) (/.f64 1 (expm1.f64 x)))) (fma.f64 (exp.f64 x) (exp.f64 x) 1))
(*.f64 (/.f64 (expm1.f64 (+.f64 x x)) (*.f64 (+.f64 -1 (pow.f64 (pow.f64 (exp.f64 x) 2) 3)) (/.f64 1 (expm1.f64 x)))) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 1 (pow.f64 (pow.f64 (exp.f64 x) 2) 2))))
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(*.f64 (/.f64 (*.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (sqrt.f64 (+.f64 (exp.f64 x) 1))) (sqrt.f64 (expm1.f64 (+.f64 x x)))) (sqrt.f64 (+.f64 (exp.f64 x) 1)))
(*.f64 (/.f64 (*.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (sqrt.f64 (+.f64 (exp.f64 x) 1))) (sqrt.f64 (+.f64 -1 (exp.f64 (*.f64 x 3))))) (sqrt.f64 (+.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (exp.f64 x) 1))))
(*.f64 (/.f64 (/.f64 (expm1.f64 (+.f64 x x)) (sqrt.f64 (expm1.f64 x))) (sqrt.f64 (expm1.f64 (+.f64 x x)))) (sqrt.f64 (+.f64 (exp.f64 x) 1)))
(*.f64 (/.f64 (/.f64 (expm1.f64 (+.f64 x x)) (sqrt.f64 (expm1.f64 x))) (sqrt.f64 (+.f64 -1 (exp.f64 (*.f64 x 3))))) (sqrt.f64 (+.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (exp.f64 x) 1))))
(*.f64 (/.f64 (/.f64 (expm1.f64 (+.f64 x x)) (cbrt.f64 (pow.f64 (expm1.f64 x) 2))) (cbrt.f64 (expm1.f64 (+.f64 x x)))) (cbrt.f64 (+.f64 (exp.f64 x) 1)))
(*.f64 (/.f64 (/.f64 (expm1.f64 (+.f64 x x)) (cbrt.f64 (pow.f64 (expm1.f64 x) 2))) (cbrt.f64 (+.f64 -1 (exp.f64 (*.f64 x 3))))) (cbrt.f64 (+.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (exp.f64 x) 1))))
(*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 x) 2) (expm1.f64 x)) (expm1.f64 x)) (pow.f64 (expm1.f64 (+.f64 x x)) 2)) (pow.f64 (+.f64 (exp.f64 x) 1) 2))
(*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 x) 2) (expm1.f64 x)) (expm1.f64 x)) (*.f64 (+.f64 -1 (exp.f64 (*.f64 x 3))) (+.f64 -1 (exp.f64 (*.f64 x 3))))) (*.f64 (+.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (exp.f64 x) 1)) (+.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (exp.f64 x) 1))))
(*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 x) 2) (expm1.f64 x)) (expm1.f64 x)) (*.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x)))) (+.f64 (exp.f64 x) 1))
(*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 x) 2) (expm1.f64 x)) (expm1.f64 x)) (*.f64 (expm1.f64 x) (+.f64 -1 (exp.f64 (*.f64 x 3))))) (+.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (exp.f64 x) 1)))
(*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 x) 2) (expm1.f64 x)) (expm1.f64 x)) (*.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) (+.f64 (exp.f64 x) 1))
(*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 x) 2) (expm1.f64 x)) (expm1.f64 x)) (*.f64 (+.f64 -1 (exp.f64 (*.f64 x 3))) (expm1.f64 x))) (+.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (exp.f64 x) 1)))
(*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 x) 2) (expm1.f64 x)) (expm1.f64 x)) (*.f64 (expm1.f64 (+.f64 x x)) (+.f64 -1 (exp.f64 (*.f64 x 3))))) (*.f64 (+.f64 (exp.f64 x) 1) (+.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (exp.f64 x) 1))))
(*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 x) 2) (expm1.f64 x)) (expm1.f64 x)) (*.f64 (+.f64 -1 (exp.f64 (*.f64 x 3))) (expm1.f64 (+.f64 x x)))) (*.f64 (+.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (exp.f64 x) 1)) (+.f64 (exp.f64 x) 1)))
(pow.f64 (+.f64 (exp.f64 x) 1) 1)
(pow.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)) 2)
(pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) 3)
(pow.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 3) 1/3)
(pow.f64 (/.f64 1 (+.f64 (exp.f64 x) 1)) -1)
(neg.f64 (/.f64 (expm1.f64 (+.f64 x x)) (neg.f64 (expm1.f64 x))))
(sqrt.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 2))
(log.f64 (exp.f64 (+.f64 (exp.f64 x) 1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (exp.f64 x) 1))))
(cbrt.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 3))
(cbrt.f64 (/.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 3) (pow.f64 (expm1.f64 x) 3)))
(expm1.f64 (log.f64 (+.f64 2 (exp.f64 x))))
(exp.f64 (log1p.f64 (exp.f64 x)))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1))
(log1p.f64 (expm1.f64 (+.f64 (exp.f64 x) 1)))
(fma.f64 1 (exp.f64 x) 1)
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) 1)
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.f64 (exp.f64 x)) 1)
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)))) 1)
(*.f64 1 (sqrt.f64 (+.f64 (exp.f64 x) 1)))
(*.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)) 1)
(*.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))) (pow.f64 (/.f64 1 (expm1.f64 x)) 1/2))
(*.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4) (pow.f64 (+.f64 (exp.f64 x) 1) 1/4))
(*.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) (cbrt.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))) (cbrt.f64 (+.f64 (exp.f64 x) 1)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1))))
(*.f64 (/.f64 1 (sqrt.f64 (expm1.f64 x))) (sqrt.f64 (expm1.f64 (+.f64 x x))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 (exp.f64 x) 1)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) 1/2))
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (sqrt.f64 (expm1.f64 (+.f64 x x)))) (sqrt.f64 (+.f64 (exp.f64 x) 1)))
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (sqrt.f64 (+.f64 -1 (exp.f64 (*.f64 x 3))))) (sqrt.f64 (+.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (exp.f64 x) 1))))
(/.f64 1 (sqrt.f64 (/.f64 1 (+.f64 (exp.f64 x) 1))))
(/.f64 1 (/.f64 1 (sqrt.f64 (+.f64 (exp.f64 x) 1))))
(/.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (sqrt.f64 (expm1.f64 x)))
(/.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))) (/.f64 (sqrt.f64 (expm1.f64 x)) (cbrt.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))))))
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))) 2)) (/.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))))))
(/.f64 (sqrt.f64 (neg.f64 (expm1.f64 (+.f64 x x)))) (sqrt.f64 (neg.f64 (expm1.f64 x))))
(/.f64 (sqrt.f64 (sqrt.f64 (expm1.f64 (+.f64 x x)))) (/.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))))))
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (pow.f64 (exp.f64 x) 2) 3))) (*.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 1 (pow.f64 (pow.f64 (exp.f64 x) 2) 2))))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) 2) 2) -1)) (*.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (fma.f64 (exp.f64 x) (exp.f64 x) 1))))
(/.f64 (neg.f64 (sqrt.f64 (expm1.f64 (+.f64 x x)))) (neg.f64 (sqrt.f64 (expm1.f64 x))))
(/.f64 (/.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) 1) (sqrt.f64 (expm1.f64 x)))
(/.f64 (/.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (cbrt.f64 (expm1.f64 x))) (cbrt.f64 (sqrt.f64 (expm1.f64 x))))
(/.f64 (/.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (sqrt.f64 (sqrt.f64 (expm1.f64 x)))) (sqrt.f64 (sqrt.f64 (expm1.f64 x))))
(/.f64 (/.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (sqrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 2)))) (sqrt.f64 (cbrt.f64 (expm1.f64 x))))
(pow.f64 (+.f64 (exp.f64 x) 1) 1/2)
(pow.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)) 1)
(pow.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4) 2)
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))) 3)
(pow.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 3/2) 1/3)
(fabs.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)))))
(cbrt.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))))
(exp.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))))
Outputs
x
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)
(fma.f64 1/2 (*.f64 x x) x)
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(fma.f64 1/6 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) x))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/24 (pow.f64 x 4)) x)))
(fma.f64 1/6 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) (fma.f64 1/24 (pow.f64 x 4) x)))
(*.f64 2 x)
(+.f64 x x)
(+.f64 (*.f64 2 (pow.f64 x 2)) (*.f64 2 x))
(*.f64 2 (+.f64 (*.f64 x x) x))
(*.f64 2 (+.f64 x (*.f64 x x)))
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 4/3 (pow.f64 x 3)) (*.f64 2 x)))
(fma.f64 2 (*.f64 x x) (fma.f64 4/3 (pow.f64 x 3) (+.f64 x x)))
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 4/3 (pow.f64 x 3)) (*.f64 2 x))))
(fma.f64 2 (*.f64 x x) (fma.f64 2/3 (pow.f64 x 4) (fma.f64 4/3 (pow.f64 x 3) (+.f64 x x))))
2
(+.f64 2 x)
(+.f64 x 2)
(+.f64 2 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(+.f64 2 (fma.f64 1/2 (*.f64 x x) 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 2 (fma.f64 1/6 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) x)))
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))
(+.f64 (sqrt.f64 2) (/.f64 (*.f64 x 1/2) (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)))))
(+.f64 (sqrt.f64 2) (*.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 (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) (*.f64 1/2 (+.f64 (+.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 (+.f64 1/6 (*.f64 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2)) -1/2)) (sqrt.f64 2)) (pow.f64 x 3)))))
(+.f64 (exp.f64 x) -1)
(+.f64 -1 (exp.f64 x))
(+.f64 (exp.f64 x) -1)
(+.f64 (-.f64 (/.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1)) (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x)))) (/.f64 1 (expm1.f64 (+.f64 x x))))
(*.f64 1 (expm1.f64 x))
(expm1.f64 x)
(*.f64 (expm1.f64 x) 1)
(expm1.f64 x)
(*.f64 (expm1.f64 (+.f64 x x)) (/.f64 1 (+.f64 (exp.f64 x) 1)))
(/.f64 (expm1.f64 (+.f64 x x)) (+.f64 (exp.f64 x) 1))
(*.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (expm1.f64 x)))
(expm1.f64 x)
(*.f64 (cbrt.f64 (expm1.f64 x)) (cbrt.f64 (pow.f64 (expm1.f64 x) 2)))
(*.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 2)) (cbrt.f64 (expm1.f64 x)))
(*.f64 (cbrt.f64 (expm1.f64 x)) (cbrt.f64 (pow.f64 (expm1.f64 x) 2)))
(*.f64 (/.f64 1 (+.f64 (exp.f64 x) 1)) (expm1.f64 (+.f64 x x)))
(/.f64 (expm1.f64 (+.f64 x x)) (+.f64 (exp.f64 x) 1))
(*.f64 (+.f64 -1 (exp.f64 (*.f64 x 3))) (/.f64 1 (+.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (exp.f64 x) 1))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 3)) (+.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (exp.f64 x) 1)))
(*.f64 (/.f64 (expm1.f64 x) (expm1.f64 x)) (expm1.f64 x))
(expm1.f64 x)
(*.f64 (+.f64 1 (sqrt.f64 (exp.f64 x))) (-.f64 (sqrt.f64 (exp.f64 x)) 1))
(*.f64 (+.f64 1 (sqrt.f64 (exp.f64 x))) (+.f64 (sqrt.f64 (exp.f64 x)) -1))
(*.f64 (+.f64 1 (sqrt.f64 (exp.f64 x))) (+.f64 -1 (sqrt.f64 (exp.f64 x))))
(*.f64 (/.f64 1 (+.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (exp.f64 x) 1))) (+.f64 -1 (exp.f64 (*.f64 x 3))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 3)) (+.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (exp.f64 x) 1)))
(*.f64 (/.f64 (expm1.f64 (+.f64 x x)) (sqrt.f64 (expm1.f64 (+.f64 x x)))) (/.f64 (expm1.f64 x) (sqrt.f64 (expm1.f64 (+.f64 x x)))))
(expm1.f64 x)
(*.f64 (/.f64 (expm1.f64 (+.f64 x x)) (pow.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))) 2)) (/.f64 (expm1.f64 x) (cbrt.f64 (expm1.f64 (+.f64 x x)))))
(expm1.f64 x)
(*.f64 (/.f64 (expm1.f64 (+.f64 x x)) (neg.f64 (expm1.f64 (+.f64 x x)))) (neg.f64 (expm1.f64 x)))
(expm1.f64 x)
(*.f64 (/.f64 (expm1.f64 (+.f64 x x)) -1) (neg.f64 (/.f64 1 (+.f64 (exp.f64 x) 1))))
(*.f64 (/.f64 (expm1.f64 (+.f64 x x)) -1) (/.f64 -1 (+.f64 (exp.f64 x) 1)))
(/.f64 (/.f64 (expm1.f64 (+.f64 x x)) (-.f64 -1 (exp.f64 x))) -1)
(*.f64 (/.f64 (expm1.f64 (+.f64 x x)) (+.f64 (pow.f64 (pow.f64 (exp.f64 x) 2) 2) -1)) (*.f64 (expm1.f64 x) (fma.f64 (exp.f64 x) (exp.f64 x) 1)))
(*.f64 (/.f64 (expm1.f64 (+.f64 x x)) (+.f64 -1 (pow.f64 (pow.f64 (exp.f64 x) 2) 2))) (*.f64 (expm1.f64 x) (fma.f64 (exp.f64 x) (exp.f64 x) 1)))
(*.f64 (expm1.f64 x) (/.f64 (*.f64 (expm1.f64 (+.f64 x x)) (fma.f64 (exp.f64 x) (exp.f64 x) 1)) (+.f64 -1 (pow.f64 (pow.f64 (exp.f64 x) 2) 2))))
(*.f64 (/.f64 (expm1.f64 (+.f64 x x)) (+.f64 -1 (pow.f64 (pow.f64 (exp.f64 x) 2) 3))) (*.f64 (expm1.f64 x) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 1 (pow.f64 (pow.f64 (exp.f64 x) 2) 2)))))
(*.f64 (expm1.f64 x) (*.f64 (/.f64 (expm1.f64 (+.f64 x x)) (+.f64 -1 (pow.f64 (pow.f64 (exp.f64 x) 2) 3))) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 1 (pow.f64 (pow.f64 (exp.f64 x) 2) 2)))))
(*.f64 (/.f64 (expm1.f64 (+.f64 x x)) (/.f64 (expm1.f64 (+.f64 x x)) (sqrt.f64 (expm1.f64 x)))) (sqrt.f64 (expm1.f64 x)))
(expm1.f64 x)
(*.f64 (/.f64 (expm1.f64 (+.f64 x x)) (*.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)) (sqrt.f64 (expm1.f64 (+.f64 x x))))) (sqrt.f64 (expm1.f64 x)))
(*.f64 (sqrt.f64 (expm1.f64 x)) (/.f64 (expm1.f64 (+.f64 x x)) (*.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (sqrt.f64 (+.f64 (exp.f64 x) 1)))))
(*.f64 (sqrt.f64 (expm1.f64 x)) (/.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (sqrt.f64 (+.f64 (exp.f64 x) 1))))
(*.f64 (/.f64 (expm1.f64 (+.f64 x x)) (*.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) 2) 2) -1) (/.f64 1 (expm1.f64 x)))) (fma.f64 (exp.f64 x) (exp.f64 x) 1))
(*.f64 (/.f64 (expm1.f64 (+.f64 x x)) (+.f64 -1 (pow.f64 (pow.f64 (exp.f64 x) 2) 2))) (*.f64 (expm1.f64 x) (fma.f64 (exp.f64 x) (exp.f64 x) 1)))
(*.f64 (expm1.f64 x) (/.f64 (*.f64 (expm1.f64 (+.f64 x x)) (fma.f64 (exp.f64 x) (exp.f64 x) 1)) (+.f64 -1 (pow.f64 (pow.f64 (exp.f64 x) 2) 2))))
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(*.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))) (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 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4) (pow.f64 (+.f64 (exp.f64 x) 1) 1/4))
(sqrt.f64 (+.f64 (exp.f64 x) 1))
(*.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) (cbrt.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))) (cbrt.f64 (+.f64 (exp.f64 x) 1)))
(*.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) (cbrt.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1))))
(*.f64 (/.f64 1 (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 (pow.f64 1 1/2) (sqrt.f64 (+.f64 (exp.f64 x) 1)))
(sqrt.f64 (+.f64 (exp.f64 x) 1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1))))
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (sqrt.f64 (expm1.f64 (+.f64 x x)))) (sqrt.f64 (+.f64 (exp.f64 x) 1)))
(sqrt.f64 (+.f64 (exp.f64 x) 1))
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (sqrt.f64 (+.f64 -1 (exp.f64 (*.f64 x 3))))) (sqrt.f64 (+.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (exp.f64 x) 1))))
(*.f64 (sqrt.f64 (+.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (exp.f64 x) 1))) (/.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (sqrt.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 3)))))
(/.f64 1 (sqrt.f64 (/.f64 1 (+.f64 (exp.f64 x) 1))))
(/.f64 1 (sqrt.f64 (/.f64 -1 (-.f64 -1 (exp.f64 x)))))
(/.f64 1 (/.f64 1 (sqrt.f64 (+.f64 (exp.f64 x) 1))))
(sqrt.f64 (+.f64 (exp.f64 x) 1))
(/.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (sqrt.f64 (expm1.f64 x)))
(/.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))) (/.f64 (sqrt.f64 (expm1.f64 x)) (cbrt.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))))))
(*.f64 (/.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))) (sqrt.f64 (expm1.f64 x))) (cbrt.f64 (sqrt.f64 (expm1.f64 (+.f64 x x)))))
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))) 2)) (/.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))))))
(*.f64 (/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))) 2)) (sqrt.f64 (expm1.f64 x))) (sqrt.f64 (cbrt.f64 (expm1.f64 (+.f64 x x)))))
(*.f64 (sqrt.f64 (cbrt.f64 (expm1.f64 (+.f64 x x)))) (/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))) 2)) (sqrt.f64 (expm1.f64 x))))
(/.f64 (sqrt.f64 (neg.f64 (expm1.f64 (+.f64 x x)))) (sqrt.f64 (neg.f64 (expm1.f64 x))))
(/.f64 (sqrt.f64 (sqrt.f64 (expm1.f64 (+.f64 x x)))) (/.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))))))
(*.f64 (sqrt.f64 (sqrt.f64 (expm1.f64 (+.f64 x x)))) (/.f64 (sqrt.f64 (sqrt.f64 (expm1.f64 (+.f64 x x)))) (sqrt.f64 (expm1.f64 x))))
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (pow.f64 (exp.f64 x) 2) 3))) (*.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 1 (pow.f64 (pow.f64 (exp.f64 x) 2) 2))))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) 2) 2) -1)) (*.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (fma.f64 (exp.f64 x) (exp.f64 x) 1))))
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (pow.f64 (exp.f64 x) 2) 2))) (*.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (fma.f64 (exp.f64 x) (exp.f64 x) 1))))
(/.f64 (neg.f64 (sqrt.f64 (expm1.f64 (+.f64 x x)))) (neg.f64 (sqrt.f64 (expm1.f64 x))))
(/.f64 (/.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) 1) (sqrt.f64 (expm1.f64 x)))
(/.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (sqrt.f64 (expm1.f64 x)))
(/.f64 (/.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (cbrt.f64 (expm1.f64 x))) (cbrt.f64 (sqrt.f64 (expm1.f64 x))))
(/.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (*.f64 (cbrt.f64 (sqrt.f64 (expm1.f64 x))) (cbrt.f64 (expm1.f64 x))))
(/.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (*.f64 (cbrt.f64 (expm1.f64 x)) (cbrt.f64 (sqrt.f64 (expm1.f64 x)))))
(/.f64 (/.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (sqrt.f64 (sqrt.f64 (expm1.f64 x)))) (sqrt.f64 (sqrt.f64 (expm1.f64 x))))
(/.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (*.f64 (sqrt.f64 (sqrt.f64 (expm1.f64 x))) (sqrt.f64 (sqrt.f64 (expm1.f64 x)))))
(/.f64 (/.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (sqrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 2)))) (sqrt.f64 (cbrt.f64 (expm1.f64 x))))
(/.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (*.f64 (sqrt.f64 (cbrt.f64 (expm1.f64 x))) (sqrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 2)))))
(/.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 2))) (sqrt.f64 (cbrt.f64 (expm1.f64 x)))))
(pow.f64 (+.f64 (exp.f64 x) 1) 1/2)
(sqrt.f64 (+.f64 (exp.f64 x) 1))
(pow.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)) 1)
(sqrt.f64 (+.f64 (exp.f64 x) 1))
(pow.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4) 2)
(sqrt.f64 (+.f64 (exp.f64 x) 1))
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))) 3)
(sqrt.f64 (+.f64 (exp.f64 x) 1))
(pow.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 3/2) 1/3)
(cbrt.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 3/2))
(fabs.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))))
(sqrt.f64 (+.f64 (exp.f64 x) 1))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)))))
(sqrt.f64 (+.f64 (exp.f64 x) 1))
(cbrt.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))))
(sqrt.f64 (+.f64 (exp.f64 x) 1))
(exp.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))))
(pow.f64 (exp.f64 (log1p.f64 (exp.f64 x))) 1/2)
(exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))
(pow.f64 (exp.f64 (log1p.f64 (exp.f64 x))) 1/2)
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))) 1))
(pow.f64 (exp.f64 (log1p.f64 (exp.f64 x))) 1/2)
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))))
(sqrt.f64 (+.f64 (exp.f64 x) 1))

eval204.0ms (4.1%)

Compiler

Compiled 13183 to 8107 computations (38.5% saved)

prune181.0ms (3.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New5853588
Fresh000
Picked101
Done011
Total5864590
Error
0b
Counts
590 → 4
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.6b
(/.f64 1 (sqrt.f64 (/.f64 1 (+.f64 (exp.f64 x) 1))))
▶23.9b
(sqrt.f64 (+.f64 x 2))
✓0.0b
(sqrt.f64 (+.f64 1 (exp.f64 x)))
▶19.5b
(sqrt.f64 2)
Compiler

Compiled 24 to 21 computations (12.5% saved)

localize2.0ms (0%)

Compiler

Compiled 4 to 4 computations (0% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.0b
(sqrt.f64 (+.f64 x 2))
Compiler

Compiled 10 to 7 computations (30% saved)

series1.0ms (0%)

Counts
1 → 4
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(sqrt.f64 (+.f64 x 2))
0.0ms
x
@0
(sqrt.f64 (+.f64 x 2))
0.0ms
x
@-inf
(sqrt.f64 (+.f64 x 2))

rewrite50.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
1466×add-sqr-sqrt
1442×*-un-lft-identity
1352×add-cube-cbrt
1342×add-cbrt-cube
1332×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0711
114811
2180011
Stop Event
1×node limit
Counts
1 → 24
Calls
Call 1
Inputs
(sqrt.f64 (+.f64 x 2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sqrt.f64 (+.f64 x 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 x 2) 1/4) (pow.f64 (+.f64 x 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x 2)) (cbrt.f64 (sqrt.f64 (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 2))) (cbrt.f64 (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 2)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x 2)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 x 2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 8 (pow.f64 x 3))) (sqrt.f64 (fma.f64 x x (-.f64 4 (*.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (fma.f64 x x -4)) (sqrt.f64 (+.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x 2) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x 2) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x 2) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 x 2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 x 2))))))))

simplify57.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
1106×associate-*r*
958×associate-*l*
764×associate-/l*
694×fma-def
672×times-frac
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
089798
1190674
2500558
31421514
46096514
Stop Event
1×node limit
Counts
28 → 49
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 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 2) 3))) (*.f64 1/2 (/.f64 x (sqrt.f64 2)))))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 5))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 2) 3))) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))))
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 x 2))) 1)
(*.f64 (sqrt.f64 (+.f64 x 2)) 1)
(*.f64 1 (sqrt.f64 (+.f64 x 2)))
(*.f64 (pow.f64 (+.f64 x 2) 1/4) (pow.f64 (+.f64 x 2) 1/4))
(*.f64 (cbrt.f64 (+.f64 x 2)) (cbrt.f64 (sqrt.f64 (+.f64 x 2))))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 2))) (cbrt.f64 (+.f64 x 2)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 2)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x 2))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 x 2)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x 2)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 x 2)) 1/2))
(/.f64 (sqrt.f64 (+.f64 8 (pow.f64 x 3))) (sqrt.f64 (fma.f64 x x (-.f64 4 (*.f64 x 2)))))
(/.f64 (sqrt.f64 (fma.f64 x x -4)) (sqrt.f64 (+.f64 x -2)))
(pow.f64 (+.f64 x 2) 1/2)
(pow.f64 (sqrt.f64 (+.f64 x 2)) 1)
(pow.f64 (pow.f64 (+.f64 x 2) 1/4) 2)
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 2))) 3)
(pow.f64 (pow.f64 (+.f64 x 2) 3/2) 1/3)
(fabs.f64 (sqrt.f64 (+.f64 x 2)))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 x 2))))
(cbrt.f64 (pow.f64 (+.f64 x 2) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 x 2))))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 x 2))))
(exp.f64 (*.f64 (log.f64 (+.f64 x 2)) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x 2))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 x 2))))
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 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 2) 3))) (*.f64 1/2 (/.f64 x (sqrt.f64 2)))))
(+.f64 (sqrt.f64 2) (fma.f64 -1/8 (/.f64 (*.f64 x x) (pow.f64 (sqrt.f64 2) 3)) (*.f64 1/2 (/.f64 x (sqrt.f64 2)))))
(+.f64 (fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (sqrt.f64 2)) (*.f64 -1/16 (/.f64 (*.f64 x x) (sqrt.f64 2))))
(fma.f64 -1/16 (/.f64 x (/.f64 (sqrt.f64 2) x)) (fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (sqrt.f64 2)))
(+.f64 (sqrt.f64 2) (*.f64 (/.f64 x (sqrt.f64 2)) (+.f64 1/2 (/.f64 x -16))))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 5))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 2) 3))) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))))
(+.f64 (sqrt.f64 2) (fma.f64 1/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 5)) (fma.f64 -1/8 (/.f64 (*.f64 x x) (pow.f64 (sqrt.f64 2) 3)) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))))
(+.f64 (fma.f64 1/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 5)) (*.f64 -1/16 (/.f64 (*.f64 x x) (sqrt.f64 2)))) (fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (sqrt.f64 2)))
(fma.f64 1/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 5)) (fma.f64 -1/16 (/.f64 x (/.f64 (sqrt.f64 2) x)) (fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (sqrt.f64 2))))
(+.f64 (sqrt.f64 2) (fma.f64 1/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 5)) (*.f64 (/.f64 x (sqrt.f64 2)) (+.f64 1/2 (/.f64 x -16)))))
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 x 2))) 1)
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 2 x)) 1))
(+.f64 (sqrt.f64 (+.f64 2 x)) 0)
(sqrt.f64 (+.f64 2 x))
(*.f64 (sqrt.f64 (+.f64 x 2)) 1)
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 2 x)) 1))
(+.f64 (sqrt.f64 (+.f64 2 x)) 0)
(sqrt.f64 (+.f64 2 x))
(*.f64 1 (sqrt.f64 (+.f64 x 2)))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 2 x)) 1))
(+.f64 (sqrt.f64 (+.f64 2 x)) 0)
(sqrt.f64 (+.f64 2 x))
(*.f64 (pow.f64 (+.f64 x 2) 1/4) (pow.f64 (+.f64 x 2) 1/4))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 2 x)) 1))
(+.f64 (sqrt.f64 (+.f64 2 x)) 0)
(sqrt.f64 (+.f64 2 x))
(*.f64 (cbrt.f64 (+.f64 x 2)) (cbrt.f64 (sqrt.f64 (+.f64 x 2))))
(*.f64 (cbrt.f64 (+.f64 2 x)) (cbrt.f64 (sqrt.f64 (+.f64 2 x))))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 2))) (cbrt.f64 (+.f64 x 2)))
(*.f64 (cbrt.f64 (+.f64 2 x)) (cbrt.f64 (sqrt.f64 (+.f64 2 x))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 2)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x 2))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 2 x))))
(*.f64 (fabs.f64 (cbrt.f64 (+.f64 2 x))) (sqrt.f64 (cbrt.f64 (+.f64 2 x))))
(*.f64 (cbrt.f64 (+.f64 2 x)) (sqrt.f64 (cbrt.f64 (+.f64 2 x))))
(pow.f64 (cbrt.f64 (+.f64 2 x)) 3/2)
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 x 2)))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 2 x)) 1))
(+.f64 (sqrt.f64 (+.f64 2 x)) 0)
(sqrt.f64 (+.f64 2 x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x 2)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 x 2)) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 2 x))))
(*.f64 (fabs.f64 (cbrt.f64 (+.f64 2 x))) (sqrt.f64 (cbrt.f64 (+.f64 2 x))))
(*.f64 (cbrt.f64 (+.f64 2 x)) (sqrt.f64 (cbrt.f64 (+.f64 2 x))))
(pow.f64 (cbrt.f64 (+.f64 2 x)) 3/2)
(/.f64 (sqrt.f64 (+.f64 8 (pow.f64 x 3))) (sqrt.f64 (fma.f64 x x (-.f64 4 (*.f64 x 2)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) 8)) (sqrt.f64 (fma.f64 x x (-.f64 4 (*.f64 2 x)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) 8)) (sqrt.f64 (fma.f64 x x (+.f64 4 (*.f64 x -2)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) 8)) (sqrt.f64 (fma.f64 x x (fma.f64 x -2 4))))
(/.f64 (sqrt.f64 (fma.f64 x x -4)) (sqrt.f64 (+.f64 x -2)))
(pow.f64 (+.f64 x 2) 1/2)
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 2 x)) 1))
(+.f64 (sqrt.f64 (+.f64 2 x)) 0)
(sqrt.f64 (+.f64 2 x))
(pow.f64 (sqrt.f64 (+.f64 x 2)) 1)
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 2 x)) 1))
(+.f64 (sqrt.f64 (+.f64 2 x)) 0)
(sqrt.f64 (+.f64 2 x))
(pow.f64 (pow.f64 (+.f64 x 2) 1/4) 2)
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 2 x)) 1))
(+.f64 (sqrt.f64 (+.f64 2 x)) 0)
(sqrt.f64 (+.f64 2 x))
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 2))) 3)
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 2 x)) 1))
(+.f64 (sqrt.f64 (+.f64 2 x)) 0)
(sqrt.f64 (+.f64 2 x))
(pow.f64 (pow.f64 (+.f64 x 2) 3/2) 1/3)
(cbrt.f64 (pow.f64 (+.f64 2 x) 3/2))
(fabs.f64 (sqrt.f64 (+.f64 x 2)))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 2 x)) 1))
(+.f64 (sqrt.f64 (+.f64 2 x)) 0)
(sqrt.f64 (+.f64 2 x))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 x 2))))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 2 x)) 1))
(+.f64 (sqrt.f64 (+.f64 2 x)) 0)
(sqrt.f64 (+.f64 2 x))
(cbrt.f64 (pow.f64 (+.f64 x 2) 3/2))
(cbrt.f64 (pow.f64 (+.f64 2 x) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 x 2))))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 2 x)) 1))
(+.f64 (sqrt.f64 (+.f64 2 x)) 0)
(sqrt.f64 (+.f64 2 x))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 x 2))))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 2 x)) 1))
(+.f64 (sqrt.f64 (+.f64 2 x)) 0)
(sqrt.f64 (+.f64 2 x))
(exp.f64 (*.f64 (log.f64 (+.f64 x 2)) 1/2))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 2 x)) 1))
(+.f64 (sqrt.f64 (+.f64 2 x)) 0)
(sqrt.f64 (+.f64 2 x))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x 2))) 1))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 2 x)) 1))
(+.f64 (sqrt.f64 (+.f64 2 x)) 0)
(sqrt.f64 (+.f64 2 x))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 x 2))))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 2 x)) 1))
(+.f64 (sqrt.f64 (+.f64 2 x)) 0)
(sqrt.f64 (+.f64 2 x))

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(sqrt.f64 (/.f64 1 (+.f64 (exp.f64 x) 1)))
✓0.0b
(+.f64 (exp.f64 x) 1)
✓0.0b
(/.f64 1 (+.f64 (exp.f64 x) 1))
✓0.6b
(/.f64 1 (sqrt.f64 (/.f64 1 (+.f64 (exp.f64 x) 1))))
Compiler

Compiled 31 to 21 computations (32.3% saved)

series2.0ms (0%)

Counts
4 → 48
Calls

12 calls:

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

rewrite84.0ms (1.7%)

Algorithm
1×batch-egg-rewrite
Rules
1862×add-sqr-sqrt
1840×*-un-lft-identity
1714×add-cube-cbrt
1700×add-cbrt-cube
200×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01076
120860
2258660
Stop Event
1×node limit
Counts
4 → 138
Calls
Call 1
Inputs
(/.f64 1 (sqrt.f64 (/.f64 1 (+.f64 (exp.f64 x) 1))))
(/.f64 1 (+.f64 (exp.f64 x) 1))
(+.f64 (exp.f64 x) 1)
(sqrt.f64 (/.f64 1 (+.f64 (exp.f64 x) 1)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (sqrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (cbrt.f64 (+.f64 1 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (/.f64 -1 (sqrt.f64 (+.f64 1 (exp.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 2))) (sqrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)) -1) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 x)))) -1) (pow.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (exp.f64 x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 1 (exp.f64 x))) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (+.f64 1 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 1 (sqrt.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/2 (neg.f64 (log1p.f64 (exp.f64 x)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 1 (exp.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (+.f64 1 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 (exp.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2) (pow.f64 (+.f64 1 (exp.f64 x)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)) (*.f64 (sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)) (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -2)) (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 x)))) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 x)))) (*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)) (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (+.f64 1 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2) (sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2))) (sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2) (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 x))))) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (exp.f64 (+.f64 x x)) -1)) (expm1.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 (exp.f64 (*.f64 x 3)))) (+.f64 (exp.f64 (+.f64 x x)) (-.f64 1 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 2)) -1) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (exp.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 1 (exp.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 1 (exp.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (+.f64 1 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log1p.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log1p.f64 (exp.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (+.f64 1 (exp.f64 x)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 1 (exp.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)) (/.f64 1 (expm1.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (exp.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) (sqrt.f64 (+.f64 1 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (*.f64 (sqrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (sqrt.f64 (+.f64 1 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((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)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 2)) (cbrt.f64 (+.f64 1 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (/.f64 1 (expm1.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (exp.f64 (*.f64 x 3))) (/.f64 1 (+.f64 (exp.f64 (+.f64 x x)) (-.f64 1 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) (sqrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (sqrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((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)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (+.f64 1 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (/.f64 -1 (sqrt.f64 (+.f64 1 (exp.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (expm1.f64 x) (+.f64 (exp.f64 (+.f64 x x)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) (-.f64 1 (exp.f64 x))) (+.f64 1 (exp.f64 (*.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (exp.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) (pow.f64 (+.f64 1 (exp.f64 x)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 2)) (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (expm1.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (exp.f64 (*.f64 x 3))) (+.f64 (exp.f64 (+.f64 x x)) (-.f64 1 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (exp.f64 (*.f64 x 3))) (+.f64 1 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2) (/.f64 -1 (sqrt.f64 (+.f64 1 (exp.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (*.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (exp.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) -1) (/.f64 -1 (sqrt.f64 (+.f64 1 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (/.f64 -1 (sqrt.f64 (+.f64 1 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) -1)) (neg.f64 (expm1.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (exp.f64 (*.f64 x 3)))) (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) (-.f64 1 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (exp.f64 (+.f64 x x))) (-.f64 1 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (exp.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 1 (exp.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 1 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (exp.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.f64 (exp.f64 x)) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)) (sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)) (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 x)))) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -2))) (sqrt.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (pow.f64 (+.f64 1 (exp.f64 x)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -2)) 1/2) (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 x)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)) (sqrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 x)))) (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 -1) (sqrt.f64 (neg.f64 (+.f64 1 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (exp.f64 x)) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 1 (exp.f64 x))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 x))) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 x))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 1/2 (neg.f64 (log1p.f64 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log1p.f64 (exp.f64 x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/2 (neg.f64 (log1p.f64 (exp.f64 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)))))))

simplify127.0ms (2.5%)

Algorithm
1×egg-herbie
Rules
1562×distribute-lft-in
1554×distribute-rgt-in
1260×associate-/r/
1070×associate-/l/
532×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03244518
17524102
237354088
Stop Event
1×node limit
Counts
186 → 213
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 1/2 (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)))
1/2
(+.f64 1/2 (*.f64 -1/4 x))
(+.f64 1/2 (+.f64 (*.f64 -1/4 x) (*.f64 1/48 (pow.f64 x 3))))
(+.f64 (*.f64 -1/480 (pow.f64 x 5)) (+.f64 1/2 (+.f64 (*.f64 -1/4 x) (*.f64 1/48 (pow.f64 x 3)))))
(/.f64 1 (+.f64 1 (exp.f64 x)))
(/.f64 1 (+.f64 1 (exp.f64 x)))
(/.f64 1 (+.f64 1 (exp.f64 x)))
(/.f64 1 (+.f64 1 (exp.f64 x)))
(/.f64 1 (+.f64 1 (exp.f64 x)))
(/.f64 1 (+.f64 1 (exp.f64 x)))
(/.f64 1 (+.f64 1 (exp.f64 x)))
(/.f64 1 (+.f64 1 (exp.f64 x)))
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 1/2)
(+.f64 (sqrt.f64 1/2) (*.f64 -1/8 (/.f64 x (sqrt.f64 1/2))))
(+.f64 (sqrt.f64 1/2) (+.f64 (*.f64 -1/128 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3))) (*.f64 -1/8 (/.f64 x (sqrt.f64 1/2)))))
(+.f64 (sqrt.f64 1/2) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 1/48 (*.f64 1/512 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 4)))) (pow.f64 x 3)) (sqrt.f64 1/2))) (+.f64 (*.f64 -1/128 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3))) (*.f64 -1/8 (/.f64 x (sqrt.f64 1/2))))))
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 x))))
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 x))))
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 x))))
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 x))))
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 x))))
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 x))))
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 x))))
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (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 (sqrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (sqrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(*.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 -1 (/.f64 1 (/.f64 -1 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 2))) (sqrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)) -1) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)) -1))
(*.f64 (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 x)))) -1) (pow.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)) -1))
(pow.f64 (+.f64 1 (exp.f64 x)) 1/2)
(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 x))) -1/2)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2) -1)
(pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1)
(pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 2)
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 3)
(pow.f64 (pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 3) 1/3)
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(fabs.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 3))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(exp.f64 (*.f64 (*.f64 1/2 (neg.f64 (log1p.f64 (exp.f64 x)))) -1))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 1 (exp.f64 x))))) 1)
(*.f64 1 (/.f64 1 (+.f64 1 (exp.f64 x))))
(*.f64 (/.f64 1 (+.f64 1 (exp.f64 x))) 1)
(*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2) (pow.f64 (+.f64 1 (exp.f64 x)) -1/2))
(*.f64 (sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)) (*.f64 (sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)) (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -2)) (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 x)))))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 x)))) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -2)))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 x)))) (*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)) (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)))
(*.f64 -1 (/.f64 1 (neg.f64 (+.f64 1 (exp.f64 x)))))
(*.f64 (*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2) (sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2))) (sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)))
(*.f64 (*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2) (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 x))))) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)))
(*.f64 (/.f64 1 (+.f64 (exp.f64 (+.f64 x x)) -1)) (expm1.f64 x))
(*.f64 (/.f64 1 (+.f64 1 (exp.f64 (*.f64 x 3)))) (+.f64 (exp.f64 (+.f64 x x)) (-.f64 1 (exp.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 2)) -1) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) -1))
(pow.f64 (+.f64 1 (exp.f64 x)) -1)
(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 x))) 1)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2) 2)
(pow.f64 (/.f64 1 (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 (+.f64 1 (exp.f64 x))) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 1 (exp.f64 x))))))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 x))) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 1 (exp.f64 x)))))
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 x))))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) -1))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (exp.f64 x))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 1 (exp.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (exp.f64 x)))) 1)
(-.f64 (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)) (/.f64 1 (expm1.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 (sqrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (*.f64 (sqrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (cbrt.f64 (pow.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 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 2)) (cbrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (/.f64 1 (expm1.f64 x)))
(*.f64 (+.f64 1 (exp.f64 (*.f64 x 3))) (/.f64 1 (+.f64 (exp.f64 (+.f64 x x)) (-.f64 1 (exp.f64 x)))))
(*.f64 (*.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) (sqrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (sqrt.f64 (sqrt.f64 (+.f64 1 (exp.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 1 (/.f64 1 (+.f64 1 (exp.f64 x))))
(/.f64 1 (*.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (/.f64 -1 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(/.f64 1 (/.f64 (expm1.f64 x) (+.f64 (exp.f64 (+.f64 x x)) -1)))
(/.f64 1 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) (-.f64 1 (exp.f64 x))) (+.f64 1 (exp.f64 (*.f64 x 3)))))
(/.f64 (+.f64 1 (exp.f64 x)) 1)
(/.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) (pow.f64 (+.f64 1 (exp.f64 x)) -1/2))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 2)) (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 x)))))
(/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (expm1.f64 x))
(/.f64 (+.f64 1 (exp.f64 (*.f64 x 3))) (+.f64 (exp.f64 (+.f64 x x)) (-.f64 1 (exp.f64 x))))
(/.f64 (+.f64 1 (exp.f64 (*.f64 x 3))) (+.f64 1 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 x))))
(/.f64 -1 (*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2) (/.f64 -1 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(/.f64 -1 (*.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)))
(/.f64 (neg.f64 (+.f64 1 (exp.f64 x))) -1)
(/.f64 (*.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) -1) (/.f64 -1 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(/.f64 (*.f64 -1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (/.f64 -1 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(/.f64 (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) -1)) (neg.f64 (expm1.f64 x)))
(/.f64 (neg.f64 (+.f64 1 (exp.f64 (*.f64 x 3)))) (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) (-.f64 1 (exp.f64 x)))))
(/.f64 (-.f64 1 (exp.f64 (+.f64 x x))) (-.f64 1 (exp.f64 x)))
(pow.f64 (+.f64 1 (exp.f64 x)) 1)
(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 x))) -1)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2) -2)
(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)) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 2))
(log.f64 (exp.f64 (+.f64 1 (exp.f64 x))))
(log.f64 (+.f64 1 (expm1.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)))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1))
(log1p.f64 (expm1.f64 (+.f64 1 (exp.f64 x))))
(fma.f64 1 (exp.f64 x) 1)
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) 1)
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.f64 (exp.f64 x)) 1)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2))) 1)
(*.f64 1 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2))
(*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2) 1)
(*.f64 (sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)) (sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)) (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 x)))))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 x)))) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -2))) (sqrt.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 x))))))
(*.f64 (pow.f64 1 1/2) (pow.f64 (+.f64 1 (exp.f64 x)) -1/2))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -2)) 1/2) (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 x)))) 1/2))
(/.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))))
(/.f64 1 (/.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1))
(/.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2) 1)
(/.f64 (sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)) (sqrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(/.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 x)))) (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(/.f64 -1 (neg.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(/.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) -1)
(/.f64 (sqrt.f64 -1) (sqrt.f64 (neg.f64 (+.f64 1 (exp.f64 x)))))
(pow.f64 (+.f64 1 (exp.f64 x)) -1/2)
(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 x))) 1/2)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2) 1)
(pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) -1)
(pow.f64 (sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)) 2)
(pow.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)) 3)
(pow.f64 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 x))) 3/2) 1/3)
(fabs.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2))
(log.f64 (exp.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2))))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 x))) 3/2))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)))
(exp.f64 (*.f64 1/2 (neg.f64 (log1p.f64 (exp.f64 x)))))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (exp.f64 x))) 1/2))
(exp.f64 (*.f64 (*.f64 1/2 (neg.f64 (log1p.f64 (exp.f64 x)))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)))
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 1/2 (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))
(+.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))))
(+.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 (sqrt.f64 2)) (pow.f64 x 3))))
(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)))
1/2
(+.f64 1/2 (*.f64 -1/4 x))
(+.f64 1/2 (*.f64 x -1/4))
(fma.f64 x -1/4 1/2)
(+.f64 1/2 (+.f64 (*.f64 -1/4 x) (*.f64 1/48 (pow.f64 x 3))))
(+.f64 1/2 (fma.f64 -1/4 x (*.f64 (pow.f64 x 3) 1/48)))
(+.f64 1/2 (fma.f64 x -1/4 (*.f64 (pow.f64 x 3) 1/48)))
(+.f64 (fma.f64 x -1/4 1/2) (*.f64 (pow.f64 x 3) 1/48))
(+.f64 (*.f64 -1/480 (pow.f64 x 5)) (+.f64 1/2 (+.f64 (*.f64 -1/4 x) (*.f64 1/48 (pow.f64 x 3)))))
(fma.f64 -1/480 (pow.f64 x 5) (+.f64 1/2 (fma.f64 -1/4 x (*.f64 (pow.f64 x 3) 1/48))))
(+.f64 (fma.f64 x -1/4 (*.f64 (pow.f64 x 3) 1/48)) (fma.f64 -1/480 (pow.f64 x 5) 1/2))
(/.f64 1 (+.f64 1 (exp.f64 x)))
(/.f64 1 (+.f64 1 (exp.f64 x)))
(/.f64 1 (+.f64 1 (exp.f64 x)))
(/.f64 1 (+.f64 1 (exp.f64 x)))
(/.f64 1 (+.f64 1 (exp.f64 x)))
(/.f64 1 (+.f64 1 (exp.f64 x)))
(/.f64 1 (+.f64 1 (exp.f64 x)))
(/.f64 1 (+.f64 1 (exp.f64 x)))
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 (*.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 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 1/2)
(+.f64 (sqrt.f64 1/2) (*.f64 -1/8 (/.f64 x (sqrt.f64 1/2))))
(fma.f64 -1/8 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))
(+.f64 (sqrt.f64 1/2) (+.f64 (*.f64 -1/128 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3))) (*.f64 -1/8 (/.f64 x (sqrt.f64 1/2)))))
(+.f64 (sqrt.f64 1/2) (fma.f64 -1/128 (/.f64 (*.f64 x x) (pow.f64 (sqrt.f64 1/2) 3)) (*.f64 -1/8 (/.f64 x (sqrt.f64 1/2)))))
(+.f64 (sqrt.f64 1/2) (fma.f64 -1/8 (/.f64 x (sqrt.f64 1/2)) (*.f64 -1/64 (/.f64 (*.f64 x x) (sqrt.f64 1/2)))))
(+.f64 (fma.f64 -1/8 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)) (*.f64 -1/64 (/.f64 (*.f64 x x) (sqrt.f64 1/2))))
(+.f64 (sqrt.f64 1/2) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 1/48 (*.f64 1/512 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 4)))) (pow.f64 x 3)) (sqrt.f64 1/2))) (+.f64 (*.f64 -1/128 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3))) (*.f64 -1/8 (/.f64 x (sqrt.f64 1/2))))))
(+.f64 (sqrt.f64 1/2) (fma.f64 1/2 (/.f64 (-.f64 1/48 (/.f64 1/512 (pow.f64 (sqrt.f64 1/2) 4))) (/.f64 (sqrt.f64 1/2) (pow.f64 x 3))) (fma.f64 -1/128 (/.f64 (*.f64 x x) (pow.f64 (sqrt.f64 1/2) 3)) (*.f64 -1/8 (/.f64 x (sqrt.f64 1/2))))))
(+.f64 (sqrt.f64 1/2) (+.f64 (fma.f64 -1/8 (/.f64 x (sqrt.f64 1/2)) (*.f64 -1/64 (/.f64 (*.f64 x x) (sqrt.f64 1/2)))) (/.f64 (*.f64 5/768 (pow.f64 x 3)) (sqrt.f64 1/2))))
(+.f64 (fma.f64 -1/8 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)) (+.f64 (*.f64 -1/64 (/.f64 (*.f64 x x) (sqrt.f64 1/2))) (*.f64 (/.f64 5/768 (sqrt.f64 1/2)) (pow.f64 x 3))))
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 x))))
(pow.f64 (+.f64 1 (exp.f64 x)) -1/2)
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 x))))
(pow.f64 (+.f64 1 (exp.f64 x)) -1/2)
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 x))))
(pow.f64 (+.f64 1 (exp.f64 x)) -1/2)
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 x))))
(pow.f64 (+.f64 1 (exp.f64 x)) -1/2)
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 x))))
(pow.f64 (+.f64 1 (exp.f64 x)) -1/2)
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 x))))
(pow.f64 (+.f64 1 (exp.f64 x)) -1/2)
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 x))))
(pow.f64 (+.f64 1 (exp.f64 x)) -1/2)
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 x))))
(pow.f64 (+.f64 1 (exp.f64 x)) -1/2)
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) 1)
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(*.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(*.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1)
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(*.f64 (sqrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (sqrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(*.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 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (cbrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 -1 (/.f64 1 (/.f64 -1 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 2))) (sqrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)) -1) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)) -1))
(pow.f64 (sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)) -2)
(/.f64 1 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2))
(*.f64 (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 x)))) -1) (pow.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)) -1))
(*.f64 (/.f64 1 (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 x))))) (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2))))
(/.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)))
(pow.f64 (+.f64 1 (exp.f64 x)) 1/2)
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 x))) -1/2)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2) -1)
(pow.f64 (sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)) -2)
(/.f64 1 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2))
(pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1)
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 2)
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 3)
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(pow.f64 (pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 3) 1/3)
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(fabs.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 3))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(exp.f64 (*.f64 (*.f64 1/2 (neg.f64 (log1p.f64 (exp.f64 x)))) -1))
(pow.f64 (pow.f64 (exp.f64 1/2) (neg.f64 (log1p.f64 (exp.f64 x)))) -1)
(pow.f64 (exp.f64 1/2) (log1p.f64 (exp.f64 x)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 1))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 1 (exp.f64 x))))) 1)
(/.f64 1 (+.f64 1 (exp.f64 x)))
(*.f64 1 (/.f64 1 (+.f64 1 (exp.f64 x))))
(/.f64 1 (+.f64 1 (exp.f64 x)))
(*.f64 (/.f64 1 (+.f64 1 (exp.f64 x))) 1)
(/.f64 1 (+.f64 1 (exp.f64 x)))
(*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2) (pow.f64 (+.f64 1 (exp.f64 x)) -1/2))
(/.f64 1 (+.f64 1 (exp.f64 x)))
(*.f64 (sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)) (*.f64 (sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)) (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)))
(/.f64 1 (+.f64 1 (exp.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -2)) (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 x)))))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 x)))) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -2)))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -2)) (cbrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 x)))) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -2)))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -2)) (cbrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 x)))) (*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)) (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 x)))) (*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2))))
(/.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)) 4) (cbrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 -1 (/.f64 1 (neg.f64 (+.f64 1 (exp.f64 x)))))
(/.f64 1 (+.f64 1 (exp.f64 x)))
(*.f64 (*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2) (sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2))) (sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)))
(/.f64 1 (+.f64 1 (exp.f64 x)))
(*.f64 (*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2) (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 x))))) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 x)))) (*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2))))
(/.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)) 4) (cbrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (/.f64 1 (+.f64 (exp.f64 (+.f64 x x)) -1)) (expm1.f64 x))
(*.f64 (/.f64 1 (+.f64 -1 (exp.f64 (+.f64 x x)))) (expm1.f64 x))
(/.f64 (expm1.f64 x) (+.f64 -1 (pow.f64 (exp.f64 2) x)))
(*.f64 (/.f64 1 (+.f64 1 (exp.f64 (*.f64 x 3)))) (+.f64 (exp.f64 (+.f64 x x)) (-.f64 1 (exp.f64 x))))
(*.f64 (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 x) 3))) (+.f64 (exp.f64 (+.f64 x x)) (-.f64 1 (exp.f64 x))))
(/.f64 (-.f64 (pow.f64 (exp.f64 2) x) (-.f64 (exp.f64 x) 1)) (+.f64 1 (pow.f64 (exp.f64 x) 3)))
(/.f64 (+.f64 1 (-.f64 (pow.f64 (exp.f64 2) x) (exp.f64 x))) (+.f64 1 (pow.f64 (exp.f64 x) 3)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 2)) -1) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) -1))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 x)))) (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 2))))
(/.f64 (*.f64 1 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 2)))) (cbrt.f64 (+.f64 1 (exp.f64 x))))
(/.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 x)))) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 2)))
(pow.f64 (+.f64 1 (exp.f64 x)) -1)
(/.f64 1 (+.f64 1 (exp.f64 x)))
(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 x))) 1)
(/.f64 1 (+.f64 1 (exp.f64 x)))
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2) 2)
(/.f64 1 (+.f64 1 (exp.f64 x)))
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 x)))) 3)
(/.f64 1 (+.f64 1 (exp.f64 x)))
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -2) 1/2)
(sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -2))
(pow.f64 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 x))) 3) 1/3)
(/.f64 1 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 x)))))
(/.f64 1 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 1 (exp.f64 x))))))
(/.f64 1 (+.f64 1 (exp.f64 x)))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 x))) 3))
(/.f64 1 (+.f64 1 (exp.f64 x)))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 1 (exp.f64 x)))))
(/.f64 1 (+.f64 1 (exp.f64 x)))
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 x))))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) -1))
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 x))))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (exp.f64 x))) 1))
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 x))))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 1 (exp.f64 x)))))
(/.f64 1 (+.f64 1 (exp.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (exp.f64 x)))) 1)
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(-.f64 (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)) (/.f64 1 (expm1.f64 x)))
(+.f64 (/.f64 (pow.f64 (exp.f64 2) x) (expm1.f64 x)) (/.f64 -1 (expm1.f64 x)))
(*.f64 1 (+.f64 1 (exp.f64 x)))
(+.f64 1 (exp.f64 x))
(*.f64 (+.f64 1 (exp.f64 x)) 1)
(+.f64 1 (exp.f64 x))
(*.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) (sqrt.f64 (+.f64 1 (exp.f64 x))))
(+.f64 1 (exp.f64 x))
(*.f64 (sqrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (*.f64 (sqrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(+.f64 1 (exp.f64 x))
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (cbrt.f64 (pow.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 (cbrt.f64 (+.f64 1 (exp.f64 x))) (*.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 4))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 2)) (cbrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 2)))
(*.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (/.f64 1 (expm1.f64 x)))
(*.f64 (+.f64 -1 (exp.f64 (+.f64 x x))) (/.f64 1 (expm1.f64 x)))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 2) x)) (expm1.f64 x))
(*.f64 (+.f64 1 (exp.f64 (*.f64 x 3))) (/.f64 1 (+.f64 (exp.f64 (+.f64 x x)) (-.f64 1 (exp.f64 x)))))
(*.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (/.f64 1 (+.f64 (exp.f64 (+.f64 x x)) (-.f64 1 (exp.f64 x)))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (-.f64 (pow.f64 (exp.f64 2) x) (-.f64 (exp.f64 x) 1)))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (+.f64 1 (-.f64 (pow.f64 (exp.f64 2) x) (exp.f64 x))))
(*.f64 (*.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) (sqrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (sqrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(+.f64 1 (exp.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 (cbrt.f64 (+.f64 1 (exp.f64 x))) (*.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 4))
(/.f64 1 (/.f64 1 (+.f64 1 (exp.f64 x))))
(+.f64 1 (exp.f64 x))
(/.f64 1 (*.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (/.f64 -1 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(+.f64 1 (exp.f64 x))
(/.f64 1 (/.f64 (expm1.f64 x) (+.f64 (exp.f64 (+.f64 x x)) -1)))
(*.f64 (+.f64 -1 (exp.f64 (+.f64 x x))) (/.f64 1 (expm1.f64 x)))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 2) x)) (expm1.f64 x))
(/.f64 1 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) (-.f64 1 (exp.f64 x))) (+.f64 1 (exp.f64 (*.f64 x 3)))))
(*.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (/.f64 1 (+.f64 (exp.f64 (+.f64 x x)) (-.f64 1 (exp.f64 x)))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (-.f64 (pow.f64 (exp.f64 2) x) (-.f64 (exp.f64 x) 1)))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (+.f64 1 (-.f64 (pow.f64 (exp.f64 2) x) (exp.f64 x))))
(/.f64 (+.f64 1 (exp.f64 x)) 1)
(+.f64 1 (exp.f64 x))
(/.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) (pow.f64 (+.f64 1 (exp.f64 x)) -1/2))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 2)) (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 x)))))
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 2)))
(/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (expm1.f64 x))
(*.f64 (+.f64 -1 (exp.f64 (+.f64 x x))) (/.f64 1 (expm1.f64 x)))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 2) x)) (expm1.f64 x))
(/.f64 (+.f64 1 (exp.f64 (*.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 (exp.f64 (+.f64 x x)) (-.f64 1 (exp.f64 x)))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (-.f64 (pow.f64 (exp.f64 2) x) (-.f64 (exp.f64 x) 1)))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (+.f64 1 (-.f64 (pow.f64 (exp.f64 2) x) (exp.f64 x))))
(/.f64 (+.f64 1 (exp.f64 (*.f64 x 3))) (+.f64 1 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 x))))
(*.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (/.f64 1 (+.f64 (exp.f64 (+.f64 x x)) (-.f64 1 (exp.f64 x)))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (-.f64 (pow.f64 (exp.f64 2) x) (-.f64 (exp.f64 x) 1)))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (+.f64 1 (-.f64 (pow.f64 (exp.f64 2) x) (exp.f64 x))))
(/.f64 -1 (*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2) (/.f64 -1 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(/.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) (pow.f64 (+.f64 1 (exp.f64 x)) -1/2))
(/.f64 -1 (*.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)))
(/.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) (pow.f64 (+.f64 1 (exp.f64 x)) -1/2))
(/.f64 (neg.f64 (+.f64 1 (exp.f64 x))) -1)
(+.f64 1 (exp.f64 x))
(/.f64 (*.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) -1) (/.f64 -1 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(+.f64 1 (exp.f64 x))
(/.f64 (*.f64 -1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (/.f64 -1 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(+.f64 1 (exp.f64 x))
(/.f64 (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) -1)) (neg.f64 (expm1.f64 x)))
(*.f64 (+.f64 -1 (exp.f64 (+.f64 x x))) (/.f64 1 (expm1.f64 x)))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 2) x)) (expm1.f64 x))
(/.f64 (neg.f64 (+.f64 1 (exp.f64 (*.f64 x 3)))) (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) (-.f64 1 (exp.f64 x)))))
(*.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (/.f64 1 (+.f64 (exp.f64 (+.f64 x x)) (-.f64 1 (exp.f64 x)))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (-.f64 (pow.f64 (exp.f64 2) x) (-.f64 (exp.f64 x) 1)))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (+.f64 1 (-.f64 (pow.f64 (exp.f64 2) x) (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)))
(pow.f64 (+.f64 1 (exp.f64 x)) 1)
(+.f64 1 (exp.f64 x))
(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 x))) -1)
(+.f64 1 (exp.f64 x))
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2) -2)
(+.f64 1 (exp.f64 x))
(pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 2)
(+.f64 1 (exp.f64 x))
(pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 3)
(+.f64 1 (exp.f64 x))
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3) 1/3)
(+.f64 1 (exp.f64 x))
(sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 2))
(fabs.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (exp.f64 (+.f64 1 (exp.f64 x))))
(+.f64 1 (exp.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (exp.f64 x)))))
(+.f64 1 (exp.f64 x))
(cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3))
(+.f64 1 (exp.f64 x))
(expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 x))))
(+.f64 1 (exp.f64 x))
(exp.f64 (log1p.f64 (exp.f64 x)))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1))
(exp.f64 (log1p.f64 (exp.f64 x)))
(log1p.f64 (expm1.f64 (+.f64 1 (exp.f64 x))))
(+.f64 1 (exp.f64 x))
(fma.f64 1 (exp.f64 x) 1)
(+.f64 1 (exp.f64 x))
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) 1)
(+.f64 1 (exp.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.f64 (exp.f64 x)) 1)
(+.f64 1 (exp.f64 x))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2))) 1)
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 x))))
(pow.f64 (+.f64 1 (exp.f64 x)) -1/2)
(*.f64 1 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2))
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 x))))
(pow.f64 (+.f64 1 (exp.f64 x)) -1/2)
(*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2) 1)
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 x))))
(pow.f64 (+.f64 1 (exp.f64 x)) -1/2)
(*.f64 (sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)) (sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)))
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 x))))
(pow.f64 (+.f64 1 (exp.f64 x)) -1/2)
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)) (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 x)))))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 x)))) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)) (cbrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 x)))) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)) (cbrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -2))) (sqrt.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 x))))))
(*.f64 (pow.f64 1 1/2) (pow.f64 (+.f64 1 (exp.f64 x)) -1/2))
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 x))))
(pow.f64 (+.f64 1 (exp.f64 x)) -1/2)
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -2)) 1/2) (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 x)))) 1/2))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -2))) (sqrt.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 x))))))
(/.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))))
(/.f64 1 (/.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1))
(/.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))))
(/.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2) 1)
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 x))))
(pow.f64 (+.f64 1 (exp.f64 x)) -1/2)
(/.f64 (sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)) (sqrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(/.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 x)))) (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(/.f64 1 (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (cbrt.f64 (+.f64 1 (exp.f64 x)))))
(/.f64 -1 (neg.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(/.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))))
(/.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) -1)
(/.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))))
(/.f64 (sqrt.f64 -1) (sqrt.f64 (neg.f64 (+.f64 1 (exp.f64 x)))))
(/.f64 (sqrt.f64 -1) (sqrt.f64 (+.f64 -1 (neg.f64 (exp.f64 x)))))
(/.f64 (sqrt.f64 -1) (sqrt.f64 (-.f64 -1 (exp.f64 x))))
(pow.f64 (+.f64 1 (exp.f64 x)) -1/2)
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 x))))
(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 x))) 1/2)
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 x))))
(pow.f64 (+.f64 1 (exp.f64 x)) -1/2)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2) 1)
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 x))))
(pow.f64 (+.f64 1 (exp.f64 x)) -1/2)
(pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) -1)
(/.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))))
(pow.f64 (sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)) 2)
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 x))))
(pow.f64 (+.f64 1 (exp.f64 x)) -1/2)
(pow.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)) 3)
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 x))))
(pow.f64 (+.f64 1 (exp.f64 x)) -1/2)
(pow.f64 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 x))) 3/2) 1/3)
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 x))) 3/2))
(fabs.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2))
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 x))))
(pow.f64 (+.f64 1 (exp.f64 x)) -1/2)
(log.f64 (exp.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)))
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 x))))
(pow.f64 (+.f64 1 (exp.f64 x)) -1/2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2))))
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 x))))
(pow.f64 (+.f64 1 (exp.f64 x)) -1/2)
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 x))) 3/2))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)))
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 x))))
(pow.f64 (+.f64 1 (exp.f64 x)) -1/2)
(exp.f64 (*.f64 1/2 (neg.f64 (log1p.f64 (exp.f64 x)))))
(pow.f64 (exp.f64 1/2) (neg.f64 (log1p.f64 (exp.f64 x))))
(exp.f64 (*.f64 -1/2 (log1p.f64 (exp.f64 x))))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (exp.f64 x))) 1/2))
(pow.f64 (exp.f64 1/2) (neg.f64 (log1p.f64 (exp.f64 x))))
(exp.f64 (*.f64 -1/2 (log1p.f64 (exp.f64 x))))
(exp.f64 (*.f64 (*.f64 1/2 (neg.f64 (log1p.f64 (exp.f64 x)))) 1))
(pow.f64 (exp.f64 1/2) (neg.f64 (log1p.f64 (exp.f64 x))))
(exp.f64 (*.f64 -1/2 (log1p.f64 (exp.f64 x))))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)))
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 x))))
(pow.f64 (+.f64 1 (exp.f64 x)) -1/2)

eval151.0ms (3%)

Compiler

Compiled 3670 to 2889 computations (21.3% saved)

prune51.0ms (1%)

Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New2593262
Fresh000
Picked101
Done033
Total2606266
Error
0b
Counts
266 → 6
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.6b
(/.f64 1 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2))
▶22.9b
(/.f64 1 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/4))))
▶20.1b
(/.f64 1 (sqrt.f64 1/2))
✓23.9b
(sqrt.f64 (+.f64 x 2))
✓0.0b
(sqrt.f64 (+.f64 1 (exp.f64 x)))
✓19.5b
(sqrt.f64 2)
Compiler

Compiled 37 to 33 computations (10.8% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓1.0b
(/.f64 1 (sqrt.f64 1/2))
Compiler

Compiled 9 to 9 computations (0% saved)

series0.0ms (0%)

Counts
1 → 0

rewrite50.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
1094×add-sqr-sqrt
1072×*-un-lft-identity
1018×pow1
1002×add-cube-cbrt
994×add-cbrt-cube
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0711
11365
214455
Stop Event
1×node limit
Counts
1 → 21
Calls
Call 1
Inputs
(/.f64 1 (sqrt.f64 1/2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sqrt.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sqrt.f64 2)) (sqrt.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 2) (cbrt.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (sqrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 1/2 1/4) -1) (pow.f64 (pow.f64 1/2 1/4) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 1/2) -1) (pow.f64 (cbrt.f64 (sqrt.f64 1/2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 1/2 -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sqrt.f64 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 2) 2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 2)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (sqrt.f64 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 2)))))))

simplify111.0ms (2.2%)

Algorithm
1×egg-herbie
Rules
1034×associate-/l*
856×unswap-sqr
832×*-commutative
818×associate-*r*
790×associate-/r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
050353
1106273
2311195
3777195
43001195
57175195
Stop Event
1×node limit
Counts
21 → 32
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (sqrt.f64 2)) 1)
(*.f64 1 (sqrt.f64 2))
(*.f64 (sqrt.f64 2) 1)
(*.f64 (sqrt.f64 (sqrt.f64 2)) (sqrt.f64 (sqrt.f64 2)))
(*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 2))
(*.f64 (cbrt.f64 2) (cbrt.f64 (sqrt.f64 2)))
(*.f64 -1 (/.f64 1 (neg.f64 (sqrt.f64 1/2))))
(*.f64 (pow.f64 (pow.f64 1/2 1/4) -1) (pow.f64 (pow.f64 1/2 1/4) -1))
(*.f64 (pow.f64 (cbrt.f64 1/2) -1) (pow.f64 (cbrt.f64 (sqrt.f64 1/2)) -1))
(pow.f64 1/2 -1/2)
(pow.f64 (sqrt.f64 1/2) -1)
(pow.f64 (sqrt.f64 2) 1)
(pow.f64 (sqrt.f64 (sqrt.f64 2)) 2)
(pow.f64 (cbrt.f64 (sqrt.f64 2)) 3)
(pow.f64 (*.f64 (sqrt.f64 2) 2) 1/3)
(sqrt.f64 2)
(log.f64 (exp.f64 (sqrt.f64 2)))
(cbrt.f64 (*.f64 (sqrt.f64 2) 2))
(expm1.f64 (log1p.f64 (sqrt.f64 2)))
(exp.f64 (log.f64 (sqrt.f64 2)))
(log1p.f64 (expm1.f64 (sqrt.f64 2)))
Outputs
(-.f64 (+.f64 1 (sqrt.f64 2)) 1)
(+.f64 1 (-.f64 (sqrt.f64 2) 1))
(+.f64 (sqrt.f64 2) 0)
(sqrt.f64 2)
(*.f64 1 (sqrt.f64 2))
(+.f64 1 (-.f64 (sqrt.f64 2) 1))
(+.f64 (sqrt.f64 2) 0)
(sqrt.f64 2)
(*.f64 (sqrt.f64 2) 1)
(+.f64 1 (-.f64 (sqrt.f64 2) 1))
(+.f64 (sqrt.f64 2) 0)
(sqrt.f64 2)
(*.f64 (sqrt.f64 (sqrt.f64 2)) (sqrt.f64 (sqrt.f64 2)))
(+.f64 1 (-.f64 (sqrt.f64 2) 1))
(+.f64 (sqrt.f64 2) 0)
(sqrt.f64 2)
(*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 2))
(*.f64 (cbrt.f64 2) (cbrt.f64 (sqrt.f64 2)))
(*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 2))
(*.f64 -1 (/.f64 1 (neg.f64 (sqrt.f64 1/2))))
(/.f64 -1 (neg.f64 (sqrt.f64 1/2)))
(/.f64 1 (sqrt.f64 1/2))
(*.f64 (pow.f64 (pow.f64 1/2 1/4) -1) (pow.f64 (pow.f64 1/2 1/4) -1))
(pow.f64 (pow.f64 1/2 1/4) -2)
(/.f64 1 (pow.f64 1/2 1/2))
(*.f64 (pow.f64 (cbrt.f64 1/2) -1) (pow.f64 (cbrt.f64 (sqrt.f64 1/2)) -1))
(*.f64 (/.f64 1 (cbrt.f64 1/2)) (/.f64 1 (cbrt.f64 (sqrt.f64 1/2))))
(/.f64 (*.f64 (/.f64 1 (cbrt.f64 1/2)) 1) (cbrt.f64 (sqrt.f64 1/2)))
(/.f64 (/.f64 1 (cbrt.f64 1/2)) (cbrt.f64 (sqrt.f64 1/2)))
(/.f64 1 (*.f64 (cbrt.f64 1/2) (cbrt.f64 (sqrt.f64 1/2))))
(pow.f64 1/2 -1/2)
(pow.f64 (sqrt.f64 1/2) -1)
(/.f64 -1 (neg.f64 (sqrt.f64 1/2)))
(/.f64 1 (sqrt.f64 1/2))
(pow.f64 (sqrt.f64 2) 1)
(+.f64 1 (-.f64 (sqrt.f64 2) 1))
(+.f64 (sqrt.f64 2) 0)
(sqrt.f64 2)
(pow.f64 (sqrt.f64 (sqrt.f64 2)) 2)
(+.f64 1 (-.f64 (sqrt.f64 2) 1))
(+.f64 (sqrt.f64 2) 0)
(sqrt.f64 2)
(pow.f64 (cbrt.f64 (sqrt.f64 2)) 3)
(+.f64 1 (-.f64 (sqrt.f64 2) 1))
(+.f64 (sqrt.f64 2) 0)
(sqrt.f64 2)
(pow.f64 (*.f64 (sqrt.f64 2) 2) 1/3)
(cbrt.f64 (*.f64 2 (sqrt.f64 2)))
(sqrt.f64 2)
(+.f64 1 (-.f64 (sqrt.f64 2) 1))
(+.f64 (sqrt.f64 2) 0)
(log.f64 (exp.f64 (sqrt.f64 2)))
(+.f64 1 (-.f64 (sqrt.f64 2) 1))
(+.f64 (sqrt.f64 2) 0)
(sqrt.f64 2)
(cbrt.f64 (*.f64 (sqrt.f64 2) 2))
(cbrt.f64 (*.f64 2 (sqrt.f64 2)))
(expm1.f64 (log1p.f64 (sqrt.f64 2)))
(+.f64 1 (-.f64 (sqrt.f64 2) 1))
(+.f64 (sqrt.f64 2) 0)
(sqrt.f64 2)
(exp.f64 (log.f64 (sqrt.f64 2)))
(+.f64 1 (-.f64 (sqrt.f64 2) 1))
(+.f64 (sqrt.f64 2) 0)
(sqrt.f64 2)
(log1p.f64 (expm1.f64 (sqrt.f64 2)))
(+.f64 1 (-.f64 (sqrt.f64 2) 1))
(+.f64 (sqrt.f64 2) 0)
(sqrt.f64 2)

localize11.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(sqrt.f64 (+.f64 1/2 (*.f64 x -1/4)))
✓0.7b
(/.f64 1 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/4))))
Compiler

Compiled 27 to 22 computations (18.5% saved)

series2.0ms (0%)

Counts
2 → 8
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(/.f64 1 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/4))))
0.0ms
x
@-inf
(/.f64 1 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/4))))
0.0ms
x
@0
(/.f64 1 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/4))))
0.0ms
x
@inf
(sqrt.f64 (+.f64 1/2 (*.f64 x -1/4)))
0.0ms
x
@-inf
(sqrt.f64 (+.f64 1/2 (*.f64 x -1/4)))

rewrite104.0ms (2.1%)

Algorithm
1×batch-egg-rewrite
Rules
860×*-commutative
644×associate-*r/
580×unswap-sqr
514×swap-sqr
430×associate-*l/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01140
122728
2265128
Stop Event
1×node limit
Counts
2 → 149
Calls
Call 1
Inputs
(/.f64 1 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/4))))
(sqrt.f64 (+.f64 1/2 (*.f64 x -1/4)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (fma.f64 x -1/4 1/2) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)) (sqrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)) (/.f64 1 (cbrt.f64 (fma.f64 x -1/4 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (fma.f64 x -1/4 1/2))) (cbrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (fma.f64 x -1/4 1/2) 1/4) -1) (pow.f64 (pow.f64 (fma.f64 x -1/4 1/2) 1/4) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/4 1/2)) -1) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x -1/4 1/2))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x -1/4 1/2))) -1) (pow.f64 (cbrt.f64 (fma.f64 x -1/4 1/2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 1/4 (*.f64 (*.f64 x x) -1/16)))) (sqrt.f64 (+.f64 1/2 (*.f64 x 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 1/8 (*.f64 (pow.f64 x 3) -1/64)))) (sqrt.f64 (-.f64 (*.f64 (*.f64 x x) 1/16) (-.f64 (*.f64 x -1/8) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2))) (cbrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2))) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2))) (cbrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2))) (sqrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 x -1/4 1/2))))) (*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2))) (sqrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 x -1/4 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)) (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)))) (*.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)) (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 x -1/4 1/2)))) (cbrt.f64 (sqrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)))) (*.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 x -1/4 1/2)))) (cbrt.f64 (sqrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/4) (pow.f64 (fma.f64 x -1/4 1/2) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)) 3/2) (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 x -1/4 1/2) 3/2)) 1/6) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 x -1/4 1/2) 3/2)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x -1/4 1/2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x -1/4 1/2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x -1/4 1/2) 1/4) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (pow.f64 (fma.f64 x -1/4 1/2) 3/2)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1 (fma.f64 x -1/4 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 x -1/4 1/2) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 -1/2 (log.f64 (fma.f64 x -1/4 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x -1/4 1/2)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (sqrt.f64 (fma.f64 x -1/4 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x -1/4 1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (fma.f64 x -1/4 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x -1/4 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x -1/4 1/2)) (pow.f64 1 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 x -1/4 1/2) 1/4) (pow.f64 (fma.f64 x -1/4 1/2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 x -1/4 1/2) 1/4) (/.f64 1 (sqrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 x -1/4 1/2) 1/4) (neg.f64 (neg.f64 (pow.f64 (fma.f64 x -1/4 1/2) 1/4))))))) (#(struct:change #<rule 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(2) ((x /.f64 (/.f64 (cbrt.f64 (fma.f64 x -1/4 1/2)) (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)))) (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (cbrt.f64 (fma.f64 x -1/4 1/2)) (cbrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 x -1/4 1/2))))) (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (cbrt.f64 (fma.f64 x -1/4 1/2)) (*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2))) (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2))))) (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (cbrt.f64 (fma.f64 x -1/4 1/2)) (cbrt.f64 (sqrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)))) (cbrt.f64 (sqrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x -1/4 1/2)))) (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x -1/4 1/2))))) 1) (+.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x -1/4 1/2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x -1/4 1/2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x -1/4 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x -1/4 1/2) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x -1/4 1/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x -1/4 1/2) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (sqrt.f64 (fma.f64 x -1/4 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (fma.f64 x -1/4 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (fma.f64 x -1/4 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x -1/4 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 x -1/4 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (fma.f64 x -1/4 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 x -1/4 1/2))))))))

simplify115.0ms (2.3%)

Algorithm
1×egg-herbie
Rules
958×associate-/l/
856×associate-/r/
856×associate-*r/
816×*-commutative
756×associate-+l+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03605421
18004949
225674697
376624697
Stop Event
1×node limit
Counts
157 → 234
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 1/2 (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 1/2 (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 1/2 (/.f64 (*.f64 (-.f64 1/4 (*.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))))))
(sqrt.f64 1/2)
(+.f64 (sqrt.f64 1/2) (*.f64 -1/8 (/.f64 x (sqrt.f64 1/2))))
(+.f64 (sqrt.f64 1/2) (+.f64 (*.f64 -1/128 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3))) (*.f64 -1/8 (/.f64 x (sqrt.f64 1/2)))))
(+.f64 (sqrt.f64 1/2) (+.f64 (*.f64 -1/1024 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 1/2) 5))) (+.f64 (*.f64 -1/128 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3))) (*.f64 -1/8 (/.f64 x (sqrt.f64 1/2))))))
(+.f64 (exp.f64 (log1p.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2))) -1)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2))) 1)
(*.f64 1 (pow.f64 (fma.f64 x -1/4 1/2) -1/2))
(*.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2) 1)
(*.f64 (sqrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)) (sqrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)) (/.f64 1 (cbrt.f64 (fma.f64 x -1/4 1/2))))
(*.f64 (/.f64 1 (cbrt.f64 (fma.f64 x -1/4 1/2))) (cbrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)))
(*.f64 -1 (neg.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)))
(*.f64 (neg.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)) -1)
(*.f64 (pow.f64 (pow.f64 (fma.f64 x -1/4 1/2) 1/4) -1) (pow.f64 (pow.f64 (fma.f64 x -1/4 1/2) 1/4) -1))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/4 1/2)) -1) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x -1/4 1/2))) -1))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x -1/4 1/2))) -1) (pow.f64 (cbrt.f64 (fma.f64 x -1/4 1/2)) -1))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 1/4 (*.f64 (*.f64 x x) -1/16)))) (sqrt.f64 (+.f64 1/2 (*.f64 x 1/4))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 1/8 (*.f64 (pow.f64 x 3) -1/64)))) (sqrt.f64 (-.f64 (*.f64 (*.f64 x x) 1/16) (-.f64 (*.f64 x -1/8) 1/4))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2))) (cbrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2))) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2))) (cbrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2))) (sqrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 x -1/4 1/2))))) (*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2))) (sqrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 x -1/4 1/2))))))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)) (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)))) (*.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)) (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 x -1/4 1/2)))) (cbrt.f64 (sqrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)))) (*.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 x -1/4 1/2)))) (cbrt.f64 (sqrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)))))
(*.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/4) (pow.f64 (fma.f64 x -1/4 1/2) -1/4))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)) 3/2) (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)) 3/2))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 x -1/4 1/2) 3/2)) 1/6) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 x -1/4 1/2) 3/2)) 1/6))
(pow.f64 (fma.f64 x -1/4 1/2) -1/2)
(pow.f64 (sqrt.f64 (fma.f64 x -1/4 1/2)) -1)
(pow.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2) 1)
(pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)) 2)
(pow.f64 (pow.f64 (fma.f64 x -1/4 1/2) 1/4) -2)
(pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)) 3)
(pow.f64 (/.f64 1 (pow.f64 (fma.f64 x -1/4 1/2) 3/2)) 1/3)
(neg.f64 (neg.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)))
(sqrt.f64 (/.f64 1 (fma.f64 x -1/4 1/2)))
(log.f64 (exp.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2))))
(cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 x -1/4 1/2) 3/2)))
(expm1.f64 (log1p.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)))
(exp.f64 (*.f64 -1/2 (log.f64 (fma.f64 x -1/4 1/2))))
(log1p.f64 (expm1.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)))
(+.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x -1/4 1/2)))) -1)
(-.f64 0 (neg.f64 (sqrt.f64 (fma.f64 x -1/4 1/2))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x -1/4 1/2)))) 1)
(*.f64 1 (sqrt.f64 (fma.f64 x -1/4 1/2)))
(*.f64 (sqrt.f64 (fma.f64 x -1/4 1/2)) 1)
(*.f64 (sqrt.f64 (fma.f64 x -1/4 1/2)) (pow.f64 1 1/2))
(*.f64 (pow.f64 (fma.f64 x -1/4 1/2) 1/4) (pow.f64 (fma.f64 x -1/4 1/2) 1/4))
(*.f64 (pow.f64 (fma.f64 x -1/4 1/2) 1/4) (/.f64 1 (sqrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2))))
(*.f64 (pow.f64 (fma.f64 x -1/4 1/2) 1/4) (neg.f64 (neg.f64 (pow.f64 (fma.f64 x -1/4 1/2) 1/4))))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x -1/4 1/2))) (cbrt.f64 (fma.f64 x -1/4 1/2)))
(*.f64 (cbrt.f64 (fma.f64 x -1/4 1/2)) (cbrt.f64 (sqrt.f64 (fma.f64 x -1/4 1/2))))
(*.f64 (cbrt.f64 (fma.f64 x -1/4 1/2)) (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2))))
(*.f64 (cbrt.f64 (fma.f64 x -1/4 1/2)) (neg.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x -1/4 1/2))))))
(*.f64 -1 (neg.f64 (sqrt.f64 (fma.f64 x -1/4 1/2))))
(*.f64 (neg.f64 (sqrt.f64 (fma.f64 x -1/4 1/2))) -1)
(*.f64 (sqrt.f64 (+.f64 1/4 (*.f64 (*.f64 x x) -1/16))) (/.f64 1 (sqrt.f64 (+.f64 1/2 (*.f64 x 1/4)))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/4 1/2)) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 x -1/4 1/2))))
(*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x -1/4 1/2))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/4 1/2)) 2)))
(*.f64 (sqrt.f64 (+.f64 1/8 (*.f64 (pow.f64 x 3) -1/64))) (/.f64 1 (sqrt.f64 (-.f64 (*.f64 (*.f64 x x) 1/16) (-.f64 (*.f64 x -1/8) 1/4)))))
(*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 (fma.f64 x -1/4 1/2)))) (neg.f64 (sqrt.f64 (neg.f64 (sqrt.f64 (fma.f64 x -1/4 1/2))))))
(*.f64 (*.f64 (cbrt.f64 (neg.f64 (sqrt.f64 (fma.f64 x -1/4 1/2)))) (cbrt.f64 (neg.f64 (sqrt.f64 (fma.f64 x -1/4 1/2))))) (neg.f64 (cbrt.f64 (neg.f64 (sqrt.f64 (fma.f64 x -1/4 1/2))))))
(*.f64 (neg.f64 (pow.f64 (fma.f64 x -1/4 1/2) 1/4)) (neg.f64 (pow.f64 (fma.f64 x -1/4 1/2) 1/4)))
(*.f64 (neg.f64 (cbrt.f64 (fma.f64 x -1/4 1/2))) (neg.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x -1/4 1/2)))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (fma.f64 x -1/4 1/2)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/4 1/2)) 2) 1/2) (pow.f64 (cbrt.f64 (fma.f64 x -1/4 1/2)) 1/2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/4 1/2)) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/4 1/2)) 2) 1/2))
(*.f64 (/.f64 1 (sqrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2))) (pow.f64 (fma.f64 x -1/4 1/2) 1/4))
(*.f64 (/.f64 1 (/.f64 1 (cbrt.f64 (fma.f64 x -1/4 1/2)))) (cbrt.f64 (sqrt.f64 (fma.f64 x -1/4 1/2))))
(*.f64 (/.f64 (pow.f64 (fma.f64 x -1/4 1/2) 1/4) 1) (pow.f64 (fma.f64 x -1/4 1/2) 1/4))
(*.f64 (/.f64 (cbrt.f64 (fma.f64 x -1/4 1/2)) 1) (cbrt.f64 (sqrt.f64 (fma.f64 x -1/4 1/2))))
(*.f64 (/.f64 (pow.f64 (fma.f64 x -1/4 1/2) 1/4) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (sqrt.f64 (fma.f64 x -1/4 1/2)))))
(*.f64 (/.f64 (cbrt.f64 (fma.f64 x -1/4 1/2)) -1) (cbrt.f64 (neg.f64 (sqrt.f64 (fma.f64 x -1/4 1/2)))))
(*.f64 (neg.f64 (sqrt.f64 (neg.f64 (sqrt.f64 (fma.f64 x -1/4 1/2))))) (sqrt.f64 (neg.f64 (sqrt.f64 (fma.f64 x -1/4 1/2)))))
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (neg.f64 (sqrt.f64 (fma.f64 x -1/4 1/2)))) (cbrt.f64 (neg.f64 (sqrt.f64 (fma.f64 x -1/4 1/2)))))) (cbrt.f64 (neg.f64 (sqrt.f64 (fma.f64 x -1/4 1/2)))))
(*.f64 (neg.f64 (neg.f64 (pow.f64 (fma.f64 x -1/4 1/2) 1/4))) (pow.f64 (fma.f64 x -1/4 1/2) 1/4))
(*.f64 (neg.f64 (neg.f64 (cbrt.f64 (fma.f64 x -1/4 1/2)))) (cbrt.f64 (sqrt.f64 (fma.f64 x -1/4 1/2))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x -1/4 1/2)))) (cbrt.f64 (sqrt.f64 (fma.f64 x -1/4 1/2)))) (*.f64 (sqrt.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x -1/4 1/2)))) (cbrt.f64 (sqrt.f64 (fma.f64 x -1/4 1/2)))))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) 1/4)) (sqrt.f64 (cbrt.f64 (fma.f64 x -1/4 1/2)))) (*.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) 1/4)) (sqrt.f64 (cbrt.f64 (fma.f64 x -1/4 1/2)))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x -1/4 1/2))) (sqrt.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x -1/4 1/2))))) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x -1/4 1/2))) (sqrt.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x -1/4 1/2))))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x -1/4 1/2))) (cbrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) 1/4))) (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x -1/4 1/2))) (cbrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) 1/4))))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x -1/4 1/2))) 3/2) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x -1/4 1/2))) 3/2))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x -1/4 1/2) 3/2) 1/6) (pow.f64 (pow.f64 (fma.f64 x -1/4 1/2) 3/2) 1/6))
(/.f64 1 (pow.f64 (fma.f64 x -1/4 1/2) -1/2))
(/.f64 1 (/.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x 1/4))) (sqrt.f64 (+.f64 1/4 (*.f64 (*.f64 x x) -1/16)))))
(/.f64 1 (/.f64 (sqrt.f64 (-.f64 (*.f64 (*.f64 x x) 1/16) (-.f64 (*.f64 x -1/8) 1/4))) (sqrt.f64 (+.f64 1/8 (*.f64 (pow.f64 x 3) -1/64)))))
(/.f64 (sqrt.f64 (fma.f64 x -1/4 1/2)) 1)
(/.f64 (pow.f64 (fma.f64 x -1/4 1/2) 1/4) (sqrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)))
(/.f64 (pow.f64 (fma.f64 x -1/4 1/2) 1/4) (/.f64 -1 (neg.f64 (pow.f64 (fma.f64 x -1/4 1/2) 1/4))))
(/.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x -1/4 1/2))) (/.f64 1 (cbrt.f64 (fma.f64 x -1/4 1/2))))
(/.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x -1/4 1/2))) (/.f64 (sqrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)) (cbrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) 1/4))))
(/.f64 (cbrt.f64 (fma.f64 x -1/4 1/2)) (cbrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)))
(/.f64 (cbrt.f64 (fma.f64 x -1/4 1/2)) (/.f64 -1 (neg.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x -1/4 1/2))))))
(/.f64 -1 (neg.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 x -1/4 1/2))) -1)
(/.f64 (sqrt.f64 (+.f64 1/4 (*.f64 (*.f64 x x) -1/16))) (sqrt.f64 (+.f64 1/2 (*.f64 x 1/4))))
(/.f64 (sqrt.f64 (+.f64 1/4 (*.f64 (*.f64 x x) -1/16))) (*.f64 1 (sqrt.f64 (+.f64 1/2 (*.f64 x 1/4)))))
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/4 1/2)) 2)) (/.f64 1 (sqrt.f64 (cbrt.f64 (fma.f64 x -1/4 1/2)))))
(/.f64 (sqrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) 1/4)) (/.f64 (sqrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)) (sqrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) 1/4))))
(/.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x -1/4 1/2))) (/.f64 (sqrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)) (sqrt.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x -1/4 1/2))))))
(/.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x -1/4 1/2))) (/.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)) (sqrt.f64 (cbrt.f64 (fma.f64 x -1/4 1/2)))))
(/.f64 (sqrt.f64 (+.f64 1/8 (*.f64 (pow.f64 x 3) -1/64))) (sqrt.f64 (-.f64 (*.f64 (*.f64 x x) 1/16) (-.f64 (*.f64 x -1/8) 1/4))))
(/.f64 (sqrt.f64 (+.f64 1/8 (*.f64 (pow.f64 x 3) -1/64))) (*.f64 1 (sqrt.f64 (-.f64 (*.f64 (*.f64 x x) 1/16) (-.f64 (*.f64 x -1/8) 1/4)))))
(/.f64 (sqrt.f64 (neg.f64 (sqrt.f64 (fma.f64 x -1/4 1/2)))) (/.f64 -1 (sqrt.f64 (neg.f64 (sqrt.f64 (fma.f64 x -1/4 1/2))))))
(/.f64 (cbrt.f64 (+.f64 1/4 (*.f64 (*.f64 x x) -1/16))) (*.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)) (cbrt.f64 (+.f64 1/2 (*.f64 x 1/4)))))
(/.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/4 1/2)) 2)) (/.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)) (cbrt.f64 (cbrt.f64 (fma.f64 x -1/4 1/2)))))
(/.f64 (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x -1/4 1/2))) (cbrt.f64 (cbrt.f64 (fma.f64 x -1/4 1/2)))) (/.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)) (cbrt.f64 (cbrt.f64 (fma.f64 x -1/4 1/2)))))
(/.f64 (cbrt.f64 (+.f64 1/8 (*.f64 (pow.f64 x 3) -1/64))) (*.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)) (cbrt.f64 (-.f64 (*.f64 (*.f64 x x) 1/16) (-.f64 (*.f64 x -1/8) 1/4)))))
(/.f64 (*.f64 (cbrt.f64 (neg.f64 (sqrt.f64 (fma.f64 x -1/4 1/2)))) (cbrt.f64 (neg.f64 (sqrt.f64 (fma.f64 x -1/4 1/2))))) (cbrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)))
(/.f64 (neg.f64 (pow.f64 (fma.f64 x -1/4 1/2) 1/4)) (/.f64 -1 (pow.f64 (fma.f64 x -1/4 1/2) 1/4)))
(/.f64 (neg.f64 (cbrt.f64 (fma.f64 x -1/4 1/2))) (/.f64 -1 (cbrt.f64 (sqrt.f64 (fma.f64 x -1/4 1/2)))))
(/.f64 (pow.f64 1 1/2) (pow.f64 (fma.f64 x -1/4 1/2) -1/2))
(/.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/4 1/2)) 2) 1/2) (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x -1/4 1/2)) 1/2)))
(/.f64 (*.f64 1 (sqrt.f64 (+.f64 1/4 (*.f64 (*.f64 x x) -1/16)))) (sqrt.f64 (+.f64 1/2 (*.f64 x 1/4))))
(/.f64 (*.f64 1 (sqrt.f64 (+.f64 1/8 (*.f64 (pow.f64 x 3) -1/64)))) (sqrt.f64 (-.f64 (*.f64 (*.f64 x x) 1/16) (-.f64 (*.f64 x -1/8) 1/4))))
(/.f64 (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x -1/4 1/2))) (cbrt.f64 (+.f64 1/4 (*.f64 (*.f64 x x) -1/16)))) (cbrt.f64 (+.f64 1/2 (*.f64 x 1/4))))
(/.f64 (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x -1/4 1/2))) (cbrt.f64 (+.f64 1/8 (*.f64 (pow.f64 x 3) -1/64)))) (cbrt.f64 (-.f64 (*.f64 (*.f64 x x) 1/16) (-.f64 (*.f64 x -1/8) 1/4))))
(/.f64 (*.f64 (pow.f64 1 1/2) 1) (pow.f64 (fma.f64 x -1/4 1/2) -1/2))
(/.f64 (*.f64 (pow.f64 1 1/2) (pow.f64 (fma.f64 x -1/4 1/2) 1/4)) (sqrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)))
(/.f64 (*.f64 (pow.f64 1 1/2) (cbrt.f64 (fma.f64 x -1/4 1/2))) (cbrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)))
(/.f64 (*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 1/4 (*.f64 (*.f64 x x) -1/16)))) (sqrt.f64 (+.f64 1/2 (*.f64 x 1/4))))
(/.f64 (*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 1/8 (*.f64 (pow.f64 x 3) -1/64)))) (sqrt.f64 (-.f64 (*.f64 (*.f64 x x) 1/16) (-.f64 (*.f64 x -1/8) 1/4))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 1/4 (*.f64 (*.f64 x x) -1/16))) 1) (sqrt.f64 (+.f64 1/2 (*.f64 x 1/4))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 1/8 (*.f64 (pow.f64 x 3) -1/64))) 1) (sqrt.f64 (-.f64 (*.f64 (*.f64 x x) 1/16) (-.f64 (*.f64 x -1/8) 1/4))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 1/4 (*.f64 (*.f64 x x) -1/16))) (cbrt.f64 (sqrt.f64 (fma.f64 x -1/4 1/2)))) (cbrt.f64 (+.f64 1/2 (*.f64 x 1/4))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 1/8 (*.f64 (pow.f64 x 3) -1/64))) (cbrt.f64 (sqrt.f64 (fma.f64 x -1/4 1/2)))) (cbrt.f64 (-.f64 (*.f64 (*.f64 x x) 1/16) (-.f64 (*.f64 x -1/8) 1/4))))
(/.f64 (/.f64 1 (sqrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2))) (sqrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)))
(/.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2))) (/.f64 1 (cbrt.f64 (fma.f64 x -1/4 1/2))))
(/.f64 (/.f64 1 (/.f64 1 (cbrt.f64 (fma.f64 x -1/4 1/2)))) (cbrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)))
(/.f64 (/.f64 1 (pow.f64 (pow.f64 (fma.f64 x -1/4 1/2) 1/4) -1)) (pow.f64 (pow.f64 (fma.f64 x -1/4 1/2) 1/4) -1))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x -1/4 1/2)) -1)) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x -1/4 1/2))) -1))
(/.f64 (/.f64 (pow.f64 (fma.f64 x -1/4 1/2) 1/4) 1) (sqrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)))
(/.f64 (/.f64 (pow.f64 (fma.f64 x -1/4 1/2) 1/4) (cbrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2))) (cbrt.f64 (sqrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2))))
(/.f64 (/.f64 (pow.f64 (fma.f64 x -1/4 1/2) 1/4) (sqrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 x -1/4 1/2))))) (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2))))
(/.f64 (/.f64 (pow.f64 (fma.f64 x -1/4 1/2) 1/4) (sqrt.f64 (sqrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)))) (sqrt.f64 (sqrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2))))
(/.f64 (/.f64 (cbrt.f64 (fma.f64 x -1/4 1/2)) 1) (cbrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)))
(/.f64 (/.f64 (cbrt.f64 (fma.f64 x -1/4 1/2)) (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)))) (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2))))
(/.f64 (/.f64 (cbrt.f64 (fma.f64 x -1/4 1/2)) (cbrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 x -1/4 1/2))))) (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2))))
(/.f64 (/.f64 (cbrt.f64 (fma.f64 x -1/4 1/2)) (*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2))) (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2))))) (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2))))
(/.f64 (/.f64 (cbrt.f64 (fma.f64 x -1/4 1/2)) (cbrt.f64 (sqrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)))) (cbrt.f64 (sqrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2))))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x -1/4 1/2)))) (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x -1/4 1/2))))) 1) (+.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x -1/4 1/2)))) 1))
(pow.f64 (fma.f64 x -1/4 1/2) 1/2)
(pow.f64 (sqrt.f64 (fma.f64 x -1/4 1/2)) 1)
(pow.f64 (pow.f64 (fma.f64 x -1/4 1/2) 1/4) 2)
(pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x -1/4 1/2))) 3)
(pow.f64 (pow.f64 (fma.f64 x -1/4 1/2) 3/2) 1/3)
(neg.f64 (neg.f64 (sqrt.f64 (fma.f64 x -1/4 1/2))))
(fabs.f64 (sqrt.f64 (fma.f64 x -1/4 1/2)))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 x -1/4 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x -1/4 1/2)))))
(cbrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 x -1/4 1/2))))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 x -1/4 1/2))))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 x -1/4 1/2))))
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 1/2 (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 1/2 (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 1/2 (/.f64 (*.f64 (-.f64 1/4 (*.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 (sqrt.f64 2) (fma.f64 1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (/.f64 (sqrt.f64 2) (*.f64 x x))) (*.f64 1/2 (+.f64 (/.f64 x (sqrt.f64 2)) (/.f64 (+.f64 1/4 (*.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 (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 5/64 (pow.f64 x 3)) (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) (fma.f64 (/.f64 5/32 (sqrt.f64 2)) (pow.f64 x 3) (/.f64 x (sqrt.f64 2)))) (sqrt.f64 2))
(sqrt.f64 1/2)
(+.f64 (sqrt.f64 1/2) (*.f64 -1/8 (/.f64 x (sqrt.f64 1/2))))
(fma.f64 -1/8 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))
(+.f64 (sqrt.f64 1/2) (+.f64 (*.f64 -1/128 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3))) (*.f64 -1/8 (/.f64 x (sqrt.f64 1/2)))))
(+.f64 (sqrt.f64 1/2) (fma.f64 -1/128 (/.f64 (*.f64 x x) (pow.f64 (sqrt.f64 1/2) 3)) (*.f64 -1/8 (/.f64 x (sqrt.f64 1/2)))))
(+.f64 (sqrt.f64 1/2) (fma.f64 -1/8 (/.f64 x (sqrt.f64 1/2)) (*.f64 -1/64 (/.f64 (*.f64 x x) (sqrt.f64 1/2)))))
(fma.f64 -1/8 (/.f64 x (sqrt.f64 1/2)) (fma.f64 -1/64 (/.f64 (*.f64 x x) (sqrt.f64 1/2)) (sqrt.f64 1/2)))
(+.f64 (sqrt.f64 1/2) (+.f64 (*.f64 -1/1024 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 1/2) 5))) (+.f64 (*.f64 -1/128 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3))) (*.f64 -1/8 (/.f64 x (sqrt.f64 1/2))))))
(+.f64 (sqrt.f64 1/2) (fma.f64 -1/1024 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 1/2) 5)) (fma.f64 -1/128 (/.f64 (*.f64 x x) (pow.f64 (sqrt.f64 1/2) 3)) (*.f64 -1/8 (/.f64 x (sqrt.f64 1/2))))))
(+.f64 (sqrt.f64 1/2) (fma.f64 -1/1024 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 1/2) 5)) (fma.f64 -1/8 (/.f64 x (sqrt.f64 1/2)) (*.f64 -1/64 (/.f64 (*.f64 x x) (sqrt.f64 1/2))))))
(fma.f64 -1/1024 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 1/2) 5)) (fma.f64 -1/8 (/.f64 x (sqrt.f64 1/2)) (fma.f64 -1/64 (/.f64 (*.f64 x x) (sqrt.f64 1/2)) (sqrt.f64 1/2))))
(+.f64 (exp.f64 (log1p.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2))) -1)
(pow.f64 (fma.f64 x -1/4 1/2) -1/2)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2))) 1)
(pow.f64 (fma.f64 x -1/4 1/2) -1/2)
(*.f64 1 (pow.f64 (fma.f64 x -1/4 1/2) -1/2))
(pow.f64 (fma.f64 x -1/4 1/2) -1/2)
(*.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2) 1)
(pow.f64 (fma.f64 x -1/4 1/2) -1/2)
(*.f64 (sqrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)) (sqrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)))
(pow.f64 (fma.f64 x -1/4 1/2) -1/2)
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)) (/.f64 1 (cbrt.f64 (fma.f64 x -1/4 1/2))))
(/.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)) (cbrt.f64 (fma.f64 x -1/4 1/2)))
(*.f64 (/.f64 1 (cbrt.f64 (fma.f64 x -1/4 1/2))) (cbrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)) (/.f64 1 (cbrt.f64 (fma.f64 x -1/4 1/2))))
(/.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)) (cbrt.f64 (fma.f64 x -1/4 1/2)))
(*.f64 -1 (neg.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)))
(pow.f64 (fma.f64 x -1/4 1/2) -1/2)
(*.f64 (neg.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)) -1)
(pow.f64 (fma.f64 x -1/4 1/2) -1/2)
(*.f64 (pow.f64 (pow.f64 (fma.f64 x -1/4 1/2) 1/4) -1) (pow.f64 (pow.f64 (fma.f64 x -1/4 1/2) 1/4) -1))
(pow.f64 (fma.f64 x -1/4 1/2) -1/2)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/4 1/2)) -1) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x -1/4 1/2))) -1))
(*.f64 (/.f64 1 (cbrt.f64 (fma.f64 x -1/4 1/2))) (/.f64 1 (cbrt.f64 (sqrt.f64 (fma.f64 x -1/4 1/2)))))
(/.f64 (/.f64 1 (cbrt.f64 (fma.f64 x -1/4 1/2))) (cbrt.f64 (sqrt.f64 (fma.f64 x -1/4 1/2))))
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(/.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/16) 1/4)) (/.f64 (cbrt.f64 (fma.f64 x 1/4 1/2)) (cbrt.f64 (sqrt.f64 (fma.f64 x -1/4 1/2)))))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x -1/4 1/2))) (/.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/16) 1/4)) (cbrt.f64 (fma.f64 x 1/4 1/2))))
(/.f64 (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x -1/4 1/2))) (cbrt.f64 (+.f64 1/8 (*.f64 (pow.f64 x 3) -1/64)))) (cbrt.f64 (-.f64 (*.f64 (*.f64 x x) 1/16) (-.f64 (*.f64 x -1/8) 1/4))))
(/.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x -1/4 1/2))) (/.f64 (cbrt.f64 (fma.f64 (*.f64 x x) 1/16 (neg.f64 (fma.f64 x -1/8 -1/4)))) (cbrt.f64 (+.f64 1/8 (*.f64 (pow.f64 x 3) -1/64)))))
(*.f64 (/.f64 (cbrt.f64 (fma.f64 (pow.f64 x 3) -1/64 1/8)) (cbrt.f64 (+.f64 1/4 (*.f64 x (-.f64 (*.f64 x 1/16) -1/8))))) (cbrt.f64 (sqrt.f64 (fma.f64 x -1/4 1/2))))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x -1/4 1/2))) (/.f64 (cbrt.f64 (fma.f64 (pow.f64 x 3) -1/64 1/8)) (cbrt.f64 (fma.f64 x (fma.f64 x 1/16 1/8) 1/4))))
(/.f64 (*.f64 (pow.f64 1 1/2) 1) (pow.f64 (fma.f64 x -1/4 1/2) -1/2))
(sqrt.f64 (fma.f64 x -1/4 1/2))
(/.f64 (*.f64 (pow.f64 1 1/2) (pow.f64 (fma.f64 x -1/4 1/2) 1/4)) (sqrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)))
(/.f64 (*.f64 1 (pow.f64 (fma.f64 x -1/4 1/2) 1/4)) (sqrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)))
(/.f64 (pow.f64 (fma.f64 x -1/4 1/2) 1/4) (sqrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)))
(/.f64 (pow.f64 (fma.f64 x -1/4 1/2) 1/4) (pow.f64 (fma.f64 x -1/4 1/2) -1/4))
(/.f64 (*.f64 (pow.f64 1 1/2) (cbrt.f64 (fma.f64 x -1/4 1/2))) (cbrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)))
(/.f64 (cbrt.f64 (fma.f64 x -1/4 1/2)) (cbrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)))
(/.f64 (*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 1/4 (*.f64 (*.f64 x x) -1/16)))) (sqrt.f64 (+.f64 1/2 (*.f64 x 1/4))))
(/.f64 (sqrt.f64 (+.f64 1/4 (*.f64 x (*.f64 x -1/16)))) (sqrt.f64 (+.f64 1/2 (*.f64 x 1/4))))
(/.f64 (sqrt.f64 (fma.f64 x (*.f64 x -1/16) 1/4)) (sqrt.f64 (fma.f64 x 1/4 1/2)))
(/.f64 (*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 1/8 (*.f64 (pow.f64 x 3) -1/64)))) (sqrt.f64 (-.f64 (*.f64 (*.f64 x x) 1/16) (-.f64 (*.f64 x -1/8) 1/4))))
(/.f64 (sqrt.f64 (+.f64 1/8 (*.f64 (pow.f64 x 3) -1/64))) (sqrt.f64 (fma.f64 (*.f64 x x) 1/16 (neg.f64 (fma.f64 x -1/8 -1/4)))))
(/.f64 (sqrt.f64 (fma.f64 (pow.f64 x 3) -1/64 1/8)) (sqrt.f64 (+.f64 1/4 (*.f64 x (-.f64 (*.f64 x 1/16) -1/8)))))
(/.f64 (sqrt.f64 (fma.f64 (pow.f64 x 3) -1/64 1/8)) (sqrt.f64 (fma.f64 x (fma.f64 x 1/16 1/8) 1/4)))
(/.f64 (*.f64 (sqrt.f64 (+.f64 1/4 (*.f64 (*.f64 x x) -1/16))) 1) (sqrt.f64 (+.f64 1/2 (*.f64 x 1/4))))
(/.f64 (sqrt.f64 (+.f64 1/4 (*.f64 x (*.f64 x -1/16)))) (sqrt.f64 (+.f64 1/2 (*.f64 x 1/4))))
(/.f64 (sqrt.f64 (fma.f64 x (*.f64 x -1/16) 1/4)) (sqrt.f64 (fma.f64 x 1/4 1/2)))
(/.f64 (*.f64 (sqrt.f64 (+.f64 1/8 (*.f64 (pow.f64 x 3) -1/64))) 1) (sqrt.f64 (-.f64 (*.f64 (*.f64 x x) 1/16) (-.f64 (*.f64 x -1/8) 1/4))))
(/.f64 (sqrt.f64 (+.f64 1/8 (*.f64 (pow.f64 x 3) -1/64))) (sqrt.f64 (fma.f64 (*.f64 x x) 1/16 (neg.f64 (fma.f64 x -1/8 -1/4)))))
(/.f64 (sqrt.f64 (fma.f64 (pow.f64 x 3) -1/64 1/8)) (sqrt.f64 (+.f64 1/4 (*.f64 x (-.f64 (*.f64 x 1/16) -1/8)))))
(/.f64 (sqrt.f64 (fma.f64 (pow.f64 x 3) -1/64 1/8)) (sqrt.f64 (fma.f64 x (fma.f64 x 1/16 1/8) 1/4)))
(/.f64 (*.f64 (cbrt.f64 (+.f64 1/4 (*.f64 (*.f64 x x) -1/16))) (cbrt.f64 (sqrt.f64 (fma.f64 x -1/4 1/2)))) (cbrt.f64 (+.f64 1/2 (*.f64 x 1/4))))
(/.f64 (cbrt.f64 (+.f64 1/4 (*.f64 x (*.f64 x -1/16)))) (/.f64 (cbrt.f64 (+.f64 1/2 (*.f64 x 1/4))) (cbrt.f64 (sqrt.f64 (fma.f64 x -1/4 1/2)))))
(/.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/16) 1/4)) (/.f64 (cbrt.f64 (fma.f64 x 1/4 1/2)) (cbrt.f64 (sqrt.f64 (fma.f64 x -1/4 1/2)))))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x -1/4 1/2))) (/.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/16) 1/4)) (cbrt.f64 (fma.f64 x 1/4 1/2))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 1/8 (*.f64 (pow.f64 x 3) -1/64))) (cbrt.f64 (sqrt.f64 (fma.f64 x -1/4 1/2)))) (cbrt.f64 (-.f64 (*.f64 (*.f64 x x) 1/16) (-.f64 (*.f64 x -1/8) 1/4))))
(/.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x -1/4 1/2))) (/.f64 (cbrt.f64 (fma.f64 (*.f64 x x) 1/16 (neg.f64 (fma.f64 x -1/8 -1/4)))) (cbrt.f64 (+.f64 1/8 (*.f64 (pow.f64 x 3) -1/64)))))
(*.f64 (/.f64 (cbrt.f64 (fma.f64 (pow.f64 x 3) -1/64 1/8)) (cbrt.f64 (+.f64 1/4 (*.f64 x (-.f64 (*.f64 x 1/16) -1/8))))) (cbrt.f64 (sqrt.f64 (fma.f64 x -1/4 1/2))))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x -1/4 1/2))) (/.f64 (cbrt.f64 (fma.f64 (pow.f64 x 3) -1/64 1/8)) (cbrt.f64 (fma.f64 x (fma.f64 x 1/16 1/8) 1/4))))
(/.f64 (/.f64 1 (sqrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2))) (sqrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)))
(sqrt.f64 (fma.f64 x -1/4 1/2))
(/.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2))) (/.f64 1 (cbrt.f64 (fma.f64 x -1/4 1/2))))
(/.f64 (cbrt.f64 (fma.f64 x -1/4 1/2)) (cbrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)))
(/.f64 (/.f64 1 (/.f64 1 (cbrt.f64 (fma.f64 x -1/4 1/2)))) (cbrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)))
(/.f64 (cbrt.f64 (fma.f64 x -1/4 1/2)) (cbrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)))
(/.f64 (/.f64 1 (pow.f64 (pow.f64 (fma.f64 x -1/4 1/2) 1/4) -1)) (pow.f64 (pow.f64 (fma.f64 x -1/4 1/2) 1/4) -1))
(sqrt.f64 (fma.f64 x -1/4 1/2))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x -1/4 1/2)) -1)) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x -1/4 1/2))) -1))
(*.f64 (cbrt.f64 (fma.f64 x -1/4 1/2)) (cbrt.f64 (sqrt.f64 (fma.f64 x -1/4 1/2))))
(/.f64 (/.f64 (pow.f64 (fma.f64 x -1/4 1/2) 1/4) 1) (sqrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)))
(/.f64 (*.f64 1 (pow.f64 (fma.f64 x -1/4 1/2) 1/4)) (sqrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)))
(/.f64 (pow.f64 (fma.f64 x -1/4 1/2) 1/4) (sqrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)))
(/.f64 (pow.f64 (fma.f64 x -1/4 1/2) 1/4) (pow.f64 (fma.f64 x -1/4 1/2) -1/4))
(/.f64 (/.f64 (pow.f64 (fma.f64 x -1/4 1/2) 1/4) (cbrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2))) (cbrt.f64 (sqrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2))))
(/.f64 (/.f64 (pow.f64 (fma.f64 x -1/4 1/2) 1/4) (cbrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/4))) (cbrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)))
(/.f64 (/.f64 (pow.f64 (fma.f64 x -1/4 1/2) 1/4) (sqrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 x -1/4 1/2))))) (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2))))
(/.f64 (pow.f64 (fma.f64 x -1/4 1/2) 1/4) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2))) (sqrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 x -1/4 1/2))))))
(/.f64 (pow.f64 (fma.f64 x -1/4 1/2) 1/4) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2))) (pow.f64 (cbrt.f64 (fma.f64 x -1/4 1/2)) -1/2)))
(/.f64 (/.f64 (pow.f64 (fma.f64 x -1/4 1/2) 1/4) (sqrt.f64 (sqrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)))) (sqrt.f64 (sqrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2))))
(/.f64 (*.f64 1 (pow.f64 (fma.f64 x -1/4 1/2) 1/4)) (sqrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)))
(/.f64 (pow.f64 (fma.f64 x -1/4 1/2) 1/4) (sqrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)))
(/.f64 (pow.f64 (fma.f64 x -1/4 1/2) 1/4) (pow.f64 (fma.f64 x -1/4 1/2) -1/4))
(/.f64 (/.f64 (cbrt.f64 (fma.f64 x -1/4 1/2)) 1) (cbrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)))
(/.f64 (cbrt.f64 (fma.f64 x -1/4 1/2)) (cbrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)))
(/.f64 (/.f64 (cbrt.f64 (fma.f64 x -1/4 1/2)) (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)))) (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2))))
(/.f64 (cbrt.f64 (fma.f64 x -1/4 1/2)) (cbrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)))
(/.f64 (/.f64 (cbrt.f64 (fma.f64 x -1/4 1/2)) (cbrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 x -1/4 1/2))))) (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2))))
(/.f64 (cbrt.f64 (fma.f64 x -1/4 1/2)) (*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2))) (cbrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 x -1/4 1/2))))))
(/.f64 (cbrt.f64 (fma.f64 x -1/4 1/2)) (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 x -1/4 1/2)))) (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)))))
(/.f64 (/.f64 (cbrt.f64 (fma.f64 x -1/4 1/2)) (*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2))) (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2))))) (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2))))
(/.f64 (cbrt.f64 (fma.f64 x -1/4 1/2)) (cbrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)))
(/.f64 (/.f64 (cbrt.f64 (fma.f64 x -1/4 1/2)) (cbrt.f64 (sqrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)))) (cbrt.f64 (sqrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2))))
(/.f64 (cbrt.f64 (fma.f64 x -1/4 1/2)) (*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2))) (cbrt.f64 (sqrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)))))
(/.f64 (cbrt.f64 (fma.f64 x -1/4 1/2)) (*.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/4)) (cbrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/4))))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x -1/4 1/2)))) (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x -1/4 1/2))))) 1) (+.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x -1/4 1/2)))) 1))
(/.f64 (*.f64 (+.f64 1 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x -1/4 1/2))))) (sqrt.f64 (fma.f64 x -1/4 1/2))) (+.f64 1 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x -1/4 1/2))))))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (sqrt.f64 (fma.f64 x -1/4 1/2))))) (+.f64 1 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x -1/4 1/2))))))
(pow.f64 (fma.f64 x -1/4 1/2) 1/2)
(sqrt.f64 (fma.f64 x -1/4 1/2))
(pow.f64 (sqrt.f64 (fma.f64 x -1/4 1/2)) 1)
(sqrt.f64 (fma.f64 x -1/4 1/2))
(pow.f64 (pow.f64 (fma.f64 x -1/4 1/2) 1/4) 2)
(sqrt.f64 (fma.f64 x -1/4 1/2))
(pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x -1/4 1/2))) 3)
(sqrt.f64 (fma.f64 x -1/4 1/2))
(pow.f64 (pow.f64 (fma.f64 x -1/4 1/2) 3/2) 1/3)
(cbrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) 3/2))
(neg.f64 (neg.f64 (sqrt.f64 (fma.f64 x -1/4 1/2))))
(sqrt.f64 (fma.f64 x -1/4 1/2))
(fabs.f64 (sqrt.f64 (fma.f64 x -1/4 1/2)))
(sqrt.f64 (fma.f64 x -1/4 1/2))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 x -1/4 1/2))))
(sqrt.f64 (fma.f64 x -1/4 1/2))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x -1/4 1/2)))))
(sqrt.f64 (fma.f64 x -1/4 1/2))
(cbrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 x -1/4 1/2))))
(sqrt.f64 (fma.f64 x -1/4 1/2))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 x -1/4 1/2))))
(sqrt.f64 (fma.f64 x -1/4 1/2))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 x -1/4 1/2))))
(sqrt.f64 (fma.f64 x -1/4 1/2))

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(pow.f64 (+.f64 1 (exp.f64 x)) -1/2)
0.0b
(+.f64 1 (exp.f64 x))
✓0.6b
(/.f64 1 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2))
Compiler

Compiled 24 to 16 computations (33.3% saved)

series52.0ms (1%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
25.0ms
x
@inf
(pow.f64 (+.f64 1 (exp.f64 x)) -1/2)
24.0ms
x
@-inf
(pow.f64 (+.f64 1 (exp.f64 x)) -1/2)
1.0ms
x
@inf
(/.f64 1 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2))
0.0ms
x
@0
(pow.f64 (+.f64 1 (exp.f64 x)) -1/2)
0.0ms
x
@-inf
(/.f64 1 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2))

rewrite64.0ms (1.3%)

Algorithm
1×batch-egg-rewrite
Rules
1904×add-sqr-sqrt
1872×*-un-lft-identity
1754×add-cube-cbrt
1740×add-cbrt-cube
198×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01034
121332
2254932
Stop Event
1×node limit
Counts
2 → 52
Calls
Call 1
Inputs
(/.f64 1 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2))
(pow.f64 (+.f64 1 (exp.f64 x)) -1/2)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) (pow.f64 (+.f64 1 (exp.f64 x)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))) (cbrt.f64 (+.f64 1 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (cbrt.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2)) (sqrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (hypot.f64 1 (sqrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((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))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/4) -1) (pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/4) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1)) -1) (pow.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (exp.f64 x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (+.f64 1 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 1 (sqrt.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 -1/2 (log1p.f64 (exp.f64 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/4) (pow.f64 (+.f64 1 (exp.f64 x)) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1)) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 -1/2) (pow.f64 (+.f64 1 (exp.f64 x)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) -1/2) (pow.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((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))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/4) (pow.f64 (+.f64 1 (exp.f64 x)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1)) (cbrt.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 -1/2 (log1p.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 -1/2 (log1p.f64 (exp.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)))))))

simplify67.0ms (1.3%)

Algorithm
1×egg-herbie
Rules
1560×associate-/r*
1288×associate-*r*
1048×associate-*l*
1038×associate-*r/
1030×distribute-lft-in
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01491958
13431858
210621736
345531692
Stop Event
1×node limit
Counts
76 → 96
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 1/2 (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)))
(sqrt.f64 1/2)
(+.f64 (sqrt.f64 1/2) (*.f64 -1/4 (*.f64 (sqrt.f64 1/2) x)))
(+.f64 (sqrt.f64 1/2) (+.f64 (*.f64 -1/32 (*.f64 (sqrt.f64 1/2) (pow.f64 x 2))) (*.f64 -1/4 (*.f64 (sqrt.f64 1/2) x))))
(+.f64 (*.f64 5/384 (*.f64 (sqrt.f64 1/2) (pow.f64 x 3))) (+.f64 (sqrt.f64 1/2) (+.f64 (*.f64 -1/32 (*.f64 (sqrt.f64 1/2) (pow.f64 x 2))) (*.f64 -1/4 (*.f64 (sqrt.f64 1/2) x)))))
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 x))))
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 x))))
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 x))))
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 x))))
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 x))))
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 x))))
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 x))))
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))) 1)
(*.f64 1 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))
(*.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 1)
(*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) (pow.f64 (+.f64 1 (exp.f64 x)) 1/4))
(*.f64 (cbrt.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))) (cbrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (cbrt.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))
(*.f64 -1 (/.f64 1 (neg.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2))))
(*.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) (hypot.f64 1 (sqrt.f64 (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 (pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/4) -1) (pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/4) -1))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1)) -1) (pow.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)) -1))
(pow.f64 (+.f64 1 (exp.f64 x)) 1/2)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2) -1)
(pow.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 1)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) 2)
(pow.f64 (cbrt.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))) 3)
(pow.f64 (pow.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 3) 1/3)
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(fabs.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))
(log.f64 (exp.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))))
(cbrt.f64 (pow.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 3))
(expm1.f64 (log1p.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(exp.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))
(exp.f64 (*.f64 (*.f64 -1/2 (log1p.f64 (exp.f64 x))) -1))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))) 1))
(log1p.f64 (expm1.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2))) 1)
(*.f64 1 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2))
(*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2) 1)
(*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/4) (pow.f64 (+.f64 1 (exp.f64 x)) -1/4))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1)) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)))
(*.f64 (pow.f64 1 -1/2) (pow.f64 (+.f64 1 (exp.f64 x)) -1/2))
(*.f64 (pow.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) -1/2) (pow.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) -1/2))
(*.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 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))
(/.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2) 1)
(/.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/4) (pow.f64 (+.f64 1 (exp.f64 x)) 1/4))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1)) (cbrt.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))
(/.f64 (neg.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)) -1)
(sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1))
(log.f64 (exp.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2))))
(cbrt.f64 (pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)))
(exp.f64 (*.f64 -1/2 (log1p.f64 (exp.f64 x))))
(exp.f64 (*.f64 (*.f64 -1/2 (log1p.f64 (exp.f64 x))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)))
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 1/2 (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))
(fma.f64 1/2 (fma.f64 (/.f64 3/8 (sqrt.f64 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))
(fma.f64 1/2 (fma.f64 (/.f64 7/96 (sqrt.f64 2)) (pow.f64 x 3) (fma.f64 (/.f64 3/8 (sqrt.f64 2)) (*.f64 x x) (/.f64 x (sqrt.f64 2)))) (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)))
(sqrt.f64 1/2)
(+.f64 (sqrt.f64 1/2) (*.f64 -1/4 (*.f64 (sqrt.f64 1/2) x)))
(+.f64 (sqrt.f64 1/2) (*.f64 -1/4 (*.f64 x (sqrt.f64 1/2))))
(fma.f64 -1/4 (*.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))
(*.f64 (+.f64 (*.f64 x -1/4) 1) (sqrt.f64 1/2))
(*.f64 (+.f64 1 (*.f64 x -1/4)) (sqrt.f64 1/2))
(+.f64 (sqrt.f64 1/2) (+.f64 (*.f64 -1/32 (*.f64 (sqrt.f64 1/2) (pow.f64 x 2))) (*.f64 -1/4 (*.f64 (sqrt.f64 1/2) x))))
(+.f64 (sqrt.f64 1/2) (fma.f64 -1/32 (*.f64 (*.f64 x x) (sqrt.f64 1/2)) (*.f64 -1/4 (*.f64 x (sqrt.f64 1/2)))))
(+.f64 (sqrt.f64 1/2) (fma.f64 -1/4 (*.f64 x (sqrt.f64 1/2)) (*.f64 (*.f64 -1/32 (*.f64 x x)) (sqrt.f64 1/2))))
(+.f64 (sqrt.f64 1/2) (*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 x -1/4) (*.f64 x (*.f64 x -1/32)))))
(+.f64 (sqrt.f64 1/2) (*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 x (*.f64 x -1/32)) (*.f64 x -1/4))))
(+.f64 (*.f64 5/384 (*.f64 (sqrt.f64 1/2) (pow.f64 x 3))) (+.f64 (sqrt.f64 1/2) (+.f64 (*.f64 -1/32 (*.f64 (sqrt.f64 1/2) (pow.f64 x 2))) (*.f64 -1/4 (*.f64 (sqrt.f64 1/2) x)))))
(fma.f64 5/384 (*.f64 (pow.f64 x 3) (sqrt.f64 1/2)) (+.f64 (sqrt.f64 1/2) (fma.f64 -1/32 (*.f64 (*.f64 x x) (sqrt.f64 1/2)) (*.f64 -1/4 (*.f64 x (sqrt.f64 1/2))))))
(+.f64 (fma.f64 -1/4 (*.f64 x (sqrt.f64 1/2)) (*.f64 (*.f64 -1/32 (*.f64 x x)) (sqrt.f64 1/2))) (fma.f64 5/384 (*.f64 (pow.f64 x 3) (sqrt.f64 1/2)) (sqrt.f64 1/2)))
(+.f64 (fma.f64 (*.f64 x x) (*.f64 (sqrt.f64 1/2) -1/32) (sqrt.f64 1/2)) (*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 x -1/4) (*.f64 (pow.f64 x 3) 5/384))))
(+.f64 (*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 x (*.f64 x -1/32)) (*.f64 x -1/4))) (fma.f64 (pow.f64 x 3) (*.f64 (sqrt.f64 1/2) 5/384) (sqrt.f64 1/2)))
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 x))))
(pow.f64 (+.f64 1 (exp.f64 x)) -1/2)
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 x))))
(pow.f64 (+.f64 1 (exp.f64 x)) -1/2)
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 x))))
(pow.f64 (+.f64 1 (exp.f64 x)) -1/2)
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 x))))
(pow.f64 (+.f64 1 (exp.f64 x)) -1/2)
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 x))))
(pow.f64 (+.f64 1 (exp.f64 x)) -1/2)
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 x))))
(pow.f64 (+.f64 1 (exp.f64 x)) -1/2)
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 x))))
(pow.f64 (+.f64 1 (exp.f64 x)) -1/2)
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 x))))
(pow.f64 (+.f64 1 (exp.f64 x)) -1/2)
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))) 1)
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(*.f64 1 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(*.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 1)
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) (pow.f64 (+.f64 1 (exp.f64 x)) 1/4))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(*.f64 (cbrt.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))) (cbrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (cbrt.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))
(*.f64 (cbrt.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))) (cbrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 -1 (/.f64 1 (neg.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2))))
(/.f64 -1 (neg.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)))
(/.f64 1 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2))
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/4) -2)
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2)) (sqrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))))
(*.f64 (fabs.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))) (sqrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))))
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (sqrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))))
(*.f64 (pow.f64 1 1/2) (hypot.f64 1 (sqrt.f64 (exp.f64 x))))
(hypot.f64 1 (sqrt.f64 (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 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2)) (sqrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))))
(*.f64 (fabs.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))) (sqrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))))
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (sqrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))))
(*.f64 (pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/4) -1) (pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/4) -1))
(/.f64 -1 (neg.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)))
(/.f64 1 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2))
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/4) -2)
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1)) -1) (pow.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)) -1))
(*.f64 (/.f64 1 (cbrt.f64 (/.f64 1 (+.f64 1 (exp.f64 x))))) (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2))))
(/.f64 (/.f64 1 (cbrt.f64 (/.f64 1 (+.f64 1 (exp.f64 x))))) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)))
(pow.f64 (+.f64 1 (exp.f64 x)) 1/2)
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2) -1)
(/.f64 -1 (neg.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)))
(/.f64 1 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2))
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/4) -2)
(pow.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 1)
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) 2)
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(pow.f64 (cbrt.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))) 3)
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(pow.f64 (pow.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 3) 1/3)
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(fabs.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(log.f64 (exp.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(cbrt.f64 (pow.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 3))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(expm1.f64 (log1p.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(exp.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))))
(pow.f64 (exp.f64 (log1p.f64 (exp.f64 x))) 1/2)
(sqrt.f64 (exp.f64 (log1p.f64 (exp.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))))
(exp.f64 (*.f64 (*.f64 -1/2 (log1p.f64 (exp.f64 x))) -1))
(pow.f64 (exp.f64 (log1p.f64 (exp.f64 x))) 1/2)
(sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x))))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))) 1))
(pow.f64 (exp.f64 (log1p.f64 (exp.f64 x))) 1/2)
(sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x))))
(log1p.f64 (expm1.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2))) 1)
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 x))))
(pow.f64 (+.f64 1 (exp.f64 x)) -1/2)
(*.f64 1 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2))
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 x))))
(pow.f64 (+.f64 1 (exp.f64 x)) -1/2)
(*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2) 1)
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 x))))
(pow.f64 (+.f64 1 (exp.f64 x)) -1/2)
(*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/4) (pow.f64 (+.f64 1 (exp.f64 x)) -1/4))
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 x))))
(pow.f64 (+.f64 1 (exp.f64 x)) -1/2)
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1)))
(*.f64 (cbrt.f64 (/.f64 1 (+.f64 1 (exp.f64 x)))) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1)) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)))
(*.f64 (cbrt.f64 (/.f64 1 (+.f64 1 (exp.f64 x)))) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)))
(*.f64 (pow.f64 1 -1/2) (pow.f64 (+.f64 1 (exp.f64 x)) -1/2))
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 x))))
(pow.f64 (+.f64 1 (exp.f64 x)) -1/2)
(*.f64 (pow.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) -1/2) (pow.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) -1/2))
(pow.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) -1)
(/.f64 1 (hypot.f64 1 (sqrt.f64 (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 1 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))
(pow.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) -1)
(/.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2) 1)
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 x))))
(pow.f64 (+.f64 1 (exp.f64 x)) -1/2)
(/.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/4) (pow.f64 (+.f64 1 (exp.f64 x)) 1/4))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1)) (cbrt.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))
(/.f64 (cbrt.f64 (/.f64 1 (+.f64 1 (exp.f64 x)))) (cbrt.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))
(/.f64 (neg.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)) -1)
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 x))))
(pow.f64 (+.f64 1 (exp.f64 x)) -1/2)
(sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1))
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 x))))
(pow.f64 (+.f64 1 (exp.f64 x)) -1/2)
(log.f64 (exp.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)))
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 x))))
(pow.f64 (+.f64 1 (exp.f64 x)) -1/2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2))))
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 x))))
(pow.f64 (+.f64 1 (exp.f64 x)) -1/2)
(cbrt.f64 (pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2) 3))
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 x))))
(pow.f64 (+.f64 1 (exp.f64 x)) -1/2)
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)))
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 x))))
(pow.f64 (+.f64 1 (exp.f64 x)) -1/2)
(exp.f64 (*.f64 -1/2 (log1p.f64 (exp.f64 x))))
(pow.f64 (exp.f64 -1/2) (log1p.f64 (exp.f64 x)))
(exp.f64 (*.f64 (*.f64 -1/2 (log1p.f64 (exp.f64 x))) 1))
(pow.f64 (exp.f64 -1/2) (log1p.f64 (exp.f64 x)))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)))
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 x))))
(pow.f64 (+.f64 1 (exp.f64 x)) -1/2)

eval176.0ms (3.5%)

Compiler

Compiled 6694 to 5607 computations (16.2% saved)

prune65.0ms (1.3%)

Pruning

7 alts after pruning (1 fresh and 6 done)

PrunedKeptTotal
New4131414
Fresh000
Picked011
Done055
Total4137420
Error
0b
Counts
420 → 7
Alt Table
Click to see full alt table
StatusErrorProgram
▶24.5b
(/.f64 1 (pow.f64 (+.f64 2 x) -1/2))
✓0.6b
(/.f64 1 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2))
✓22.9b
(/.f64 1 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/4))))
✓20.1b
(/.f64 1 (sqrt.f64 1/2))
✓23.9b
(sqrt.f64 (+.f64 x 2))
✓0.0b
(sqrt.f64 (+.f64 1 (exp.f64 x)))
✓19.5b
(sqrt.f64 2)
Compiler

Compiled 45 to 40 computations (11.1% saved)

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(pow.f64 (+.f64 2 x) -1/2)
✓0.6b
(/.f64 1 (pow.f64 (+.f64 2 x) -1/2))
Compiler

Compiled 20 to 16 computations (20% saved)

series2.0ms (0%)

Counts
2 → 16
Calls

6 calls:

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

rewrite60.0ms (1.2%)

Algorithm
1×batch-egg-rewrite
Rules
1788×add-sqr-sqrt
1754×*-un-lft-identity
1652×add-cube-cbrt
1642×add-cbrt-cube
184×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0926
119924
2235924
Stop Event
1×node limit
Counts
2 → 51
Calls
Call 1
Inputs
(/.f64 1 (pow.f64 (+.f64 2 x) -1/2))
(pow.f64 (+.f64 2 x) -1/2)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 2 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (+.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 2 x) 1/4) (pow.f64 (+.f64 2 x) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 x))) (cbrt.f64 (+.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 2 x)) (cbrt.f64 (sqrt.f64 (+.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (pow.f64 (+.f64 2 x) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 2 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (+.f64 2 x) -1/4) -1) (pow.f64 (pow.f64 (+.f64 2 x) -1/4) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 2 x) -1)) -1) (pow.f64 (cbrt.f64 (pow.f64 (+.f64 2 x) -1/2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 2 x) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 2 x) -1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 2 x) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sqrt.f64 (+.f64 2 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (+.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (+.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (+.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 2 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (+.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 2 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 -1/2 (log.f64 (+.f64 2 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 2 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 2 x))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 2 x) -1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (+.f64 2 x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 2 x) -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 2 x) -1/4) (pow.f64 (+.f64 2 x) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 2 x) -1/2)) (cbrt.f64 (pow.f64 (+.f64 2 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 2 x) -1)) (cbrt.f64 (pow.f64 (+.f64 2 x) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 -1/2) (pow.f64 (+.f64 2 x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (+.f64 2 x)) -1/2) (pow.f64 (sqrt.f64 (+.f64 2 x)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2) -1/2) (pow.f64 (cbrt.f64 (+.f64 2 x)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (sqrt.f64 (+.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (+.f64 2 x) -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (+.f64 2 x) -1/4) (pow.f64 (+.f64 2 x) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (pow.f64 (+.f64 2 x) -1)) (cbrt.f64 (sqrt.f64 (+.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 (+.f64 2 x) -1/2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 2 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (+.f64 2 x) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 2 x) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (+.f64 2 x) -1/2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (+.f64 2 x) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 -1/2 (log.f64 (+.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 -1/2 (log.f64 (+.f64 2 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (+.f64 2 x) -1/2)))))))

simplify70.0ms (1.4%)

Algorithm
1×egg-herbie
Rules
1498×distribute-lft-in
966×unswap-sqr
918×associate-+r+
754×associate-+l+
636×times-frac
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01771837
14091755
213341599
357531599
Stop Event
1×node limit
Counts
67 → 114
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 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 2) 3))) (*.f64 1/2 (/.f64 x (sqrt.f64 2)))))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 5))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 2) 3))) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))))
(sqrt.f64 1/2)
(+.f64 (sqrt.f64 1/2) (*.f64 -1/4 (*.f64 (sqrt.f64 1/2) x)))
(+.f64 (*.f64 3/32 (*.f64 (sqrt.f64 1/2) (pow.f64 x 2))) (+.f64 (sqrt.f64 1/2) (*.f64 -1/4 (*.f64 (sqrt.f64 1/2) x))))
(+.f64 (*.f64 -5/128 (*.f64 (sqrt.f64 1/2) (pow.f64 x 3))) (+.f64 (*.f64 3/32 (*.f64 (sqrt.f64 1/2) (pow.f64 x 2))) (+.f64 (sqrt.f64 1/2) (*.f64 -1/4 (*.f64 (sqrt.f64 1/2) x)))))
(sqrt.f64 (/.f64 1 x))
(+.f64 (*.f64 -1 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (sqrt.f64 (/.f64 1 x)))
(+.f64 (*.f64 -1 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (+.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 3/2 (sqrt.f64 (/.f64 1 (pow.f64 x 5))))))
(+.f64 (*.f64 -1 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 -5/2 (sqrt.f64 (/.f64 1 (pow.f64 x 7)))) (+.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 3/2 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))))))
(exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(+.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (*.f64 -1 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x)))
(+.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (+.f64 (*.f64 -1 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x)) (*.f64 3/2 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 2)))))
(+.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (+.f64 (*.f64 -5/2 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x)) (*.f64 3/2 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 2))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 2 x)))) 1)
(*.f64 1 (sqrt.f64 (+.f64 2 x)))
(*.f64 (sqrt.f64 (+.f64 2 x)) 1)
(*.f64 (pow.f64 (+.f64 2 x) 1/4) (pow.f64 (+.f64 2 x) 1/4))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 x))) (cbrt.f64 (+.f64 2 x)))
(*.f64 (cbrt.f64 (+.f64 2 x)) (cbrt.f64 (sqrt.f64 (+.f64 2 x))))
(*.f64 -1 (/.f64 1 (neg.f64 (pow.f64 (+.f64 2 x) -1/2))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 2 x))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 2 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 2 x)) 1/2))
(*.f64 (pow.f64 (pow.f64 (+.f64 2 x) -1/4) -1) (pow.f64 (pow.f64 (+.f64 2 x) -1/4) -1))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 2 x) -1)) -1) (pow.f64 (cbrt.f64 (pow.f64 (+.f64 2 x) -1/2)) -1))
(pow.f64 (+.f64 2 x) 1/2)
(pow.f64 (pow.f64 (+.f64 2 x) -1/2) -1)
(pow.f64 (sqrt.f64 (+.f64 2 x)) 1)
(pow.f64 (pow.f64 (+.f64 2 x) 1/4) 2)
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 x))) 3)
(pow.f64 (pow.f64 (sqrt.f64 (+.f64 2 x)) 3) 1/3)
(sqrt.f64 (+.f64 2 x))
(fabs.f64 (sqrt.f64 (+.f64 2 x)))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 2 x))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 2 x)))))
(cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 2 x)) 3))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 2 x))))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 2 x))))
(exp.f64 (*.f64 (log.f64 (+.f64 2 x)) 1/2))
(exp.f64 (*.f64 (*.f64 -1/2 (log.f64 (+.f64 2 x))) -1))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 2 x))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 2 x))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 2 x) -1/2))) 1)
(*.f64 1 (pow.f64 (+.f64 2 x) -1/2))
(*.f64 (pow.f64 (+.f64 2 x) -1/2) 1)
(*.f64 (pow.f64 (+.f64 2 x) -1/4) (pow.f64 (+.f64 2 x) -1/4))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 2 x) -1/2)) (cbrt.f64 (pow.f64 (+.f64 2 x) -1)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 2 x) -1)) (cbrt.f64 (pow.f64 (+.f64 2 x) -1/2)))
(*.f64 (pow.f64 1 -1/2) (pow.f64 (+.f64 2 x) -1/2))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 2 x)) -1/2) (pow.f64 (sqrt.f64 (+.f64 2 x)) -1/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2) -1/2) (pow.f64 (cbrt.f64 (+.f64 2 x)) -1/2))
(/.f64 1 (sqrt.f64 (+.f64 2 x)))
(/.f64 (pow.f64 (+.f64 2 x) -1/2) 1)
(/.f64 (pow.f64 (+.f64 2 x) -1/4) (pow.f64 (+.f64 2 x) 1/4))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 2 x) -1)) (cbrt.f64 (sqrt.f64 (+.f64 2 x))))
(/.f64 (neg.f64 (pow.f64 (+.f64 2 x) -1/2)) -1)
(sqrt.f64 (pow.f64 (+.f64 2 x) -1))
(log.f64 (exp.f64 (pow.f64 (+.f64 2 x) -1/2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 2 x) -1/2))))
(cbrt.f64 (pow.f64 (pow.f64 (+.f64 2 x) -1/2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 2 x) -1/2)))
(exp.f64 (*.f64 -1/2 (log.f64 (+.f64 2 x))))
(exp.f64 (*.f64 (*.f64 -1/2 (log.f64 (+.f64 2 x))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 2 x) -1/2)))
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 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 2) 3))) (*.f64 1/2 (/.f64 x (sqrt.f64 2)))))
(+.f64 (sqrt.f64 2) (fma.f64 -1/8 (/.f64 (*.f64 x x) (pow.f64 (sqrt.f64 2) 3)) (*.f64 1/2 (/.f64 x (sqrt.f64 2)))))
(+.f64 (fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (sqrt.f64 2)) (*.f64 -1/16 (/.f64 (*.f64 x x) (sqrt.f64 2))))
(fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (fma.f64 -1/16 (/.f64 x (/.f64 (sqrt.f64 2) x)) (sqrt.f64 2)))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 5))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 2) 3))) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))))
(+.f64 (sqrt.f64 2) (fma.f64 1/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 5)) (fma.f64 -1/8 (/.f64 (*.f64 x x) (pow.f64 (sqrt.f64 2) 3)) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))))
(+.f64 (sqrt.f64 2) (fma.f64 1/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 5)) (fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (*.f64 -1/16 (/.f64 (*.f64 x x) (sqrt.f64 2))))))
(fma.f64 1/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 5)) (fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (fma.f64 -1/16 (/.f64 x (/.f64 (sqrt.f64 2) x)) (sqrt.f64 2))))
(sqrt.f64 1/2)
(+.f64 (sqrt.f64 1/2) (*.f64 -1/4 (*.f64 (sqrt.f64 1/2) x)))
(+.f64 (sqrt.f64 1/2) (*.f64 -1/4 (*.f64 x (sqrt.f64 1/2))))
(fma.f64 -1/4 (*.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))
(*.f64 (+.f64 (*.f64 x -1/4) 1) (sqrt.f64 1/2))
(*.f64 (+.f64 1 (*.f64 x -1/4)) (sqrt.f64 1/2))
(+.f64 (*.f64 3/32 (*.f64 (sqrt.f64 1/2) (pow.f64 x 2))) (+.f64 (sqrt.f64 1/2) (*.f64 -1/4 (*.f64 (sqrt.f64 1/2) x))))
(fma.f64 3/32 (*.f64 (*.f64 x x) (sqrt.f64 1/2)) (+.f64 (sqrt.f64 1/2) (*.f64 -1/4 (*.f64 x (sqrt.f64 1/2)))))
(fma.f64 3/32 (*.f64 x (*.f64 x (sqrt.f64 1/2))) (fma.f64 -1/4 (*.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)))
(+.f64 (sqrt.f64 1/2) (*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 x -1/4) (*.f64 (*.f64 x x) 3/32))))
(+.f64 (sqrt.f64 1/2) (*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 (*.f64 x x) 3/32) (*.f64 x -1/4))))
(+.f64 (*.f64 -5/128 (*.f64 (sqrt.f64 1/2) (pow.f64 x 3))) (+.f64 (*.f64 3/32 (*.f64 (sqrt.f64 1/2) (pow.f64 x 2))) (+.f64 (sqrt.f64 1/2) (*.f64 -1/4 (*.f64 (sqrt.f64 1/2) x)))))
(fma.f64 -5/128 (*.f64 (pow.f64 x 3) (sqrt.f64 1/2)) (fma.f64 3/32 (*.f64 (*.f64 x x) (sqrt.f64 1/2)) (+.f64 (sqrt.f64 1/2) (*.f64 -1/4 (*.f64 x (sqrt.f64 1/2))))))
(fma.f64 -5/128 (*.f64 (pow.f64 x 3) (sqrt.f64 1/2)) (fma.f64 3/32 (*.f64 x (*.f64 x (sqrt.f64 1/2))) (fma.f64 -1/4 (*.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))))
(fma.f64 (pow.f64 x 3) (*.f64 (sqrt.f64 1/2) -5/128) (+.f64 (sqrt.f64 1/2) (*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 x -1/4) (*.f64 (*.f64 x x) 3/32)))))
(+.f64 (*.f64 (+.f64 1 (*.f64 x -1/4)) (sqrt.f64 1/2)) (*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 (pow.f64 x 3) -5/128) (*.f64 (*.f64 x x) 3/32))))
(sqrt.f64 (/.f64 1 x))
(+.f64 (*.f64 -1 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (sqrt.f64 (/.f64 1 x)))
(fma.f64 -1 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (sqrt.f64 (/.f64 1 x)))
(-.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 (/.f64 1 (pow.f64 x 3))))
(+.f64 (*.f64 -1 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (+.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 3/2 (sqrt.f64 (/.f64 1 (pow.f64 x 5))))))
(+.f64 (fma.f64 -1 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (sqrt.f64 (/.f64 1 x))) (*.f64 3/2 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))))
(-.f64 (fma.f64 3/2 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (sqrt.f64 (/.f64 1 x))) (sqrt.f64 (/.f64 1 (pow.f64 x 3))))
(+.f64 (*.f64 -1 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 -5/2 (sqrt.f64 (/.f64 1 (pow.f64 x 7)))) (+.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 3/2 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))))))
(fma.f64 -1 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (fma.f64 -5/2 (sqrt.f64 (/.f64 1 (pow.f64 x 7))) (+.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 3/2 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))))))
(-.f64 (fma.f64 -5/2 (sqrt.f64 (/.f64 1 (pow.f64 x 7))) (fma.f64 3/2 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (sqrt.f64 (/.f64 1 x)))) (sqrt.f64 (/.f64 1 (pow.f64 x 3))))
(-.f64 (fma.f64 3/2 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (fma.f64 -5/2 (sqrt.f64 (/.f64 1 (pow.f64 x 7))) (sqrt.f64 (/.f64 1 x)))) (sqrt.f64 (/.f64 1 (pow.f64 x 3))))
(exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(pow.f64 (exp.f64 -1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))
(pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))
(*.f64 (pow.f64 (/.f64 -1 x) 1/2) (pow.f64 -1 -1/2))
(+.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (*.f64 -1 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x)))
(+.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (neg.f64 (/.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) x)))
(-.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (/.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) x))
(-.f64 (*.f64 (pow.f64 (/.f64 -1 x) 1/2) (pow.f64 -1 -1/2)) (/.f64 (pow.f64 (/.f64 -1 x) 1/2) (/.f64 x (pow.f64 -1 -1/2))))
(+.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (+.f64 (*.f64 -1 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x)) (*.f64 3/2 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 2)))))
(+.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (fma.f64 -1 (/.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) x) (*.f64 3/2 (/.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (*.f64 x x)))))
(+.f64 (-.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (/.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) x)) (*.f64 3/2 (/.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (*.f64 x x))))
(fma.f64 (pow.f64 (/.f64 -1 x) 1/2) (pow.f64 -1 -1/2) (*.f64 (/.f64 (pow.f64 (/.f64 -1 x) 1/2) (/.f64 x (pow.f64 -1 -1/2))) (+.f64 -1 (/.f64 3/2 x))))
(+.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (+.f64 (*.f64 -5/2 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x)) (*.f64 3/2 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 2))))))
(+.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (fma.f64 -5/2 (/.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (pow.f64 x 3)) (fma.f64 -1 (/.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) x) (*.f64 3/2 (/.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (*.f64 x x))))))
(+.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (fma.f64 -5/2 (/.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (pow.f64 x 3)) (-.f64 (*.f64 3/2 (/.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (*.f64 x x))) (/.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) x))))
(fma.f64 (pow.f64 (/.f64 -1 x) 1/2) (pow.f64 -1 -1/2) (-.f64 (*.f64 (*.f64 (/.f64 (pow.f64 (/.f64 -1 x) 1/2) x) (/.f64 (pow.f64 -1 -1/2) x)) (+.f64 (/.f64 -5/2 x) 3/2)) (/.f64 (pow.f64 (/.f64 -1 x) 1/2) (/.f64 x (pow.f64 -1 -1/2)))))
(fma.f64 (pow.f64 (/.f64 -1 x) 1/2) (pow.f64 -1 -1/2) (-.f64 (*.f64 (*.f64 (/.f64 (pow.f64 (/.f64 -1 x) 1/2) x) (/.f64 (pow.f64 -1 -1/2) x)) (+.f64 3/2 (/.f64 -5/2 x))) (/.f64 (pow.f64 (/.f64 -1 x) 1/2) (/.f64 x (pow.f64 -1 -1/2)))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 2 x)))) 1)
(sqrt.f64 (+.f64 2 x))
(*.f64 1 (sqrt.f64 (+.f64 2 x)))
(sqrt.f64 (+.f64 2 x))
(*.f64 (sqrt.f64 (+.f64 2 x)) 1)
(sqrt.f64 (+.f64 2 x))
(*.f64 (pow.f64 (+.f64 2 x) 1/4) (pow.f64 (+.f64 2 x) 1/4))
(sqrt.f64 (+.f64 2 x))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 x))) (cbrt.f64 (+.f64 2 x)))
(*.f64 (cbrt.f64 (+.f64 2 x)) (cbrt.f64 (sqrt.f64 (+.f64 2 x))))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 x))) (cbrt.f64 (+.f64 2 x)))
(*.f64 -1 (/.f64 1 (neg.f64 (pow.f64 (+.f64 2 x) -1/2))))
(sqrt.f64 (+.f64 2 x))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 2 x))))
(*.f64 (fabs.f64 (cbrt.f64 (+.f64 2 x))) (sqrt.f64 (cbrt.f64 (+.f64 2 x))))
(*.f64 (cbrt.f64 (+.f64 2 x)) (sqrt.f64 (cbrt.f64 (+.f64 2 x))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 2 x)))
(sqrt.f64 (+.f64 2 x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 2 x)) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 2 x))))
(*.f64 (fabs.f64 (cbrt.f64 (+.f64 2 x))) (sqrt.f64 (cbrt.f64 (+.f64 2 x))))
(*.f64 (cbrt.f64 (+.f64 2 x)) (sqrt.f64 (cbrt.f64 (+.f64 2 x))))
(*.f64 (pow.f64 (pow.f64 (+.f64 2 x) -1/4) -1) (pow.f64 (pow.f64 (+.f64 2 x) -1/4) -1))
(sqrt.f64 (+.f64 2 x))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 2 x) -1)) -1) (pow.f64 (cbrt.f64 (pow.f64 (+.f64 2 x) -1/2)) -1))
(*.f64 (/.f64 1 (cbrt.f64 (/.f64 1 (+.f64 2 x)))) (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 2 x) -1/2))))
(/.f64 (*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 2 x) -1/2))) 1) (cbrt.f64 (/.f64 1 (+.f64 2 x))))
(/.f64 (/.f64 1 (cbrt.f64 (/.f64 1 (+.f64 2 x)))) (cbrt.f64 (pow.f64 (+.f64 2 x) -1/2)))
(pow.f64 (+.f64 2 x) 1/2)
(sqrt.f64 (+.f64 2 x))
(pow.f64 (pow.f64 (+.f64 2 x) -1/2) -1)
(sqrt.f64 (+.f64 2 x))
(pow.f64 (sqrt.f64 (+.f64 2 x)) 1)
(sqrt.f64 (+.f64 2 x))
(pow.f64 (pow.f64 (+.f64 2 x) 1/4) 2)
(sqrt.f64 (+.f64 2 x))
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 x))) 3)
(sqrt.f64 (+.f64 2 x))
(pow.f64 (pow.f64 (sqrt.f64 (+.f64 2 x)) 3) 1/3)
(sqrt.f64 (+.f64 2 x))
(sqrt.f64 (+.f64 2 x))
(fabs.f64 (sqrt.f64 (+.f64 2 x)))
(sqrt.f64 (+.f64 2 x))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 2 x))))
(sqrt.f64 (+.f64 2 x))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 2 x)))))
(sqrt.f64 (+.f64 2 x))
(cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 2 x)) 3))
(sqrt.f64 (+.f64 2 x))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 2 x))))
(sqrt.f64 (+.f64 2 x))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 2 x))))
(sqrt.f64 (+.f64 2 x))
(exp.f64 (*.f64 (log.f64 (+.f64 2 x)) 1/2))
(sqrt.f64 (+.f64 2 x))
(exp.f64 (*.f64 (*.f64 -1/2 (log.f64 (+.f64 2 x))) -1))
(sqrt.f64 (+.f64 2 x))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 2 x))) 1))
(sqrt.f64 (+.f64 2 x))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 2 x))))
(sqrt.f64 (+.f64 2 x))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 2 x) -1/2))) 1)
(pow.f64 (+.f64 2 x) -1/2)
(*.f64 1 (pow.f64 (+.f64 2 x) -1/2))
(pow.f64 (+.f64 2 x) -1/2)
(*.f64 (pow.f64 (+.f64 2 x) -1/2) 1)
(pow.f64 (+.f64 2 x) -1/2)
(*.f64 (pow.f64 (+.f64 2 x) -1/4) (pow.f64 (+.f64 2 x) -1/4))
(pow.f64 (+.f64 2 x) -1/2)
(*.f64 (cbrt.f64 (pow.f64 (+.f64 2 x) -1/2)) (cbrt.f64 (pow.f64 (+.f64 2 x) -1)))
(*.f64 (cbrt.f64 (/.f64 1 (+.f64 2 x))) (cbrt.f64 (pow.f64 (+.f64 2 x) -1/2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 2 x) -1)) (cbrt.f64 (pow.f64 (+.f64 2 x) -1/2)))
(*.f64 (cbrt.f64 (/.f64 1 (+.f64 2 x))) (cbrt.f64 (pow.f64 (+.f64 2 x) -1/2)))
(*.f64 (pow.f64 1 -1/2) (pow.f64 (+.f64 2 x) -1/2))
(pow.f64 (+.f64 2 x) -1/2)
(*.f64 (pow.f64 (sqrt.f64 (+.f64 2 x)) -1/2) (pow.f64 (sqrt.f64 (+.f64 2 x)) -1/2))
(pow.f64 (+.f64 2 x) -1/2)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2) -1/2) (pow.f64 (cbrt.f64 (+.f64 2 x)) -1/2))
(/.f64 1 (sqrt.f64 (+.f64 2 x)))
(pow.f64 (+.f64 2 x) -1/2)
(/.f64 (pow.f64 (+.f64 2 x) -1/2) 1)
(pow.f64 (+.f64 2 x) -1/2)
(/.f64 (pow.f64 (+.f64 2 x) -1/4) (pow.f64 (+.f64 2 x) 1/4))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 2 x) -1)) (cbrt.f64 (sqrt.f64 (+.f64 2 x))))
(/.f64 (cbrt.f64 (/.f64 1 (+.f64 2 x))) (cbrt.f64 (sqrt.f64 (+.f64 2 x))))
(/.f64 (neg.f64 (pow.f64 (+.f64 2 x) -1/2)) -1)
(pow.f64 (+.f64 2 x) -1/2)
(sqrt.f64 (pow.f64 (+.f64 2 x) -1))
(pow.f64 (+.f64 2 x) -1/2)
(log.f64 (exp.f64 (pow.f64 (+.f64 2 x) -1/2)))
(pow.f64 (+.f64 2 x) -1/2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 2 x) -1/2))))
(pow.f64 (+.f64 2 x) -1/2)
(cbrt.f64 (pow.f64 (pow.f64 (+.f64 2 x) -1/2) 3))
(pow.f64 (+.f64 2 x) -1/2)
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 2 x) -1/2)))
(pow.f64 (+.f64 2 x) -1/2)
(exp.f64 (*.f64 -1/2 (log.f64 (+.f64 2 x))))
(pow.f64 (+.f64 2 x) -1/2)
(exp.f64 (*.f64 (*.f64 -1/2 (log.f64 (+.f64 2 x))) 1))
(pow.f64 (+.f64 2 x) -1/2)
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 2 x) -1/2)))
(pow.f64 (+.f64 2 x) -1/2)

eval51.0ms (1%)

Compiler

Compiled 1911 to 1646 computations (13.9% saved)

prune18.0ms (0.4%)

Pruning

7 alts after pruning (0 fresh and 7 done)

PrunedKeptTotal
New1140114
Fresh000
Picked011
Done066
Total1147121
Error
0b
Counts
121 → 7
Alt Table
Click to see full alt table
StatusErrorProgram
✓24.5b
(/.f64 1 (pow.f64 (+.f64 2 x) -1/2))
✓0.6b
(/.f64 1 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2))
✓22.9b
(/.f64 1 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/4))))
✓20.1b
(/.f64 1 (sqrt.f64 1/2))
✓23.9b
(sqrt.f64 (+.f64 x 2))
✓0.0b
(sqrt.f64 (+.f64 1 (exp.f64 x)))
✓19.5b
(sqrt.f64 2)
Compiler

Compiled 45 to 40 computations (11.1% saved)

regimes12.0ms (0.2%)

Counts
9 → 1
Calls
Call 1
Inputs
(sqrt.f64 2)
(sqrt.f64 (+.f64 x 2))
(/.f64 1 (sqrt.f64 1/2))
(/.f64 1 (pow.f64 (+.f64 2 x) -1/2))
(/.f64 1 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/4))))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(/.f64 1 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2))
(/.f64 1 (sqrt.f64 (/.f64 1 (+.f64 (exp.f64 x) 1))))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
Outputs
(sqrt.f64 (+.f64 1 (exp.f64 x)))
Calls

3 calls:

5.0ms
x
2.0ms
(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
2.0ms
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
Results
ErrorSegmentsBranch
0.0b1x
0.0b1(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
0.0b1(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
Compiler

Compiled 87 to 71 computations (18.4% saved)

regimes44.0ms (0.9%)

Accuracy

Total -5.5b remaining (-28.1%)

Threshold costs -5.5b (-28.1%)

Counts
5 → 1
Calls
Call 1
Inputs
(sqrt.f64 2)
(sqrt.f64 (+.f64 x 2))
(/.f64 1 (sqrt.f64 1/2))
(/.f64 1 (pow.f64 (+.f64 2 x) -1/2))
(/.f64 1 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/4))))
Outputs
(sqrt.f64 2)
Calls

1 calls:

42.0ms
x
Results
ErrorSegmentsBranch
19.5b1x
Compiler

Compiled 28 to 24 computations (14.3% saved)

simplify4.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
2×1-exp
2×+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01020
11320
Stop Event
1×done
1×saturated
Calls
Call 1
Inputs
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 2)
Outputs
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 2)
Compiler

Compiled 9 to 8 computations (11.1% saved)

soundness65.0ms (1.3%)

Algorithm
1×egg-herbie
Rules
1440×associate-/l*
1382×associate-*r*
1160×associate-/r*
968×associate-*l*
702×fma-def
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
01325
12725
23625
36225
413521
534915
6123815
Stop Event
1×node limit
Compiler

Compiled 85 to 56 computations (34.1% saved)

end15.0ms (0.3%)

Compiler

Compiled 8 to 7 computations (12.5% saved)

Profiling

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