Details

Time bar (total: 5.0s)

analyze157.0ms (3.1%)

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)

sample2.0s (39.2%)

Results
1.1s2757×body1024valid
478.0ms3897×body256valid
285.0ms1306×body512valid
134.0ms296×body2048valid
6.0ms49×body256infinite
1.0ms6×body256unsamplable
Bogosity

preprocess151.0ms (3%)

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)

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New415
Fresh101
Picked000
Done000
Total516
Error
0.0b
Counts
6 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.0b
(sqrt.f64 (+.f64 1 (exp.f64 x)))
Compiler

Compiled 6 to 5 computations (16.7% 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))

rewrite102.0ms (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)))))))))

simplify64.0ms (1.3%)

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))
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(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)
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(-.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)))
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(*.f64 1 (+.f64 1 (exp.f64 x)))
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(*.f64 (+.f64 1 (exp.f64 x)) 1)
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(*.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) (sqrt.f64 (+.f64 1 (exp.f64 x))))
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(*.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)))))
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(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2))
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(*.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)
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(*.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)))

eval25.0ms (0.5%)

Compiler

Compiled 1236 to 893 computations (27.8% saved)

prune11.0ms (0.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New973100
Fresh000
Picked011
Done000
Total974101
Error
0b
Counts
101 → 4
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.6b
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 1)
▶22.9b
(sqrt.f64 (+.f64 2 x))
✓0.0b
(sqrt.f64 (+.f64 1 (exp.f64 x)))
▶18.4b
(sqrt.f64 2)
Compiler

Compiled 24 to 21 computations (12.5% saved)

localize2.0ms (0%)

Compiler

Compiled 4 to 4 computations (0% saved)

localize20.0ms (0.4%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.0b
(sqrt.f64 (+.f64 2 x))
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 2 x))
0.0ms
x
@0
(sqrt.f64 (+.f64 2 x))
0.0ms
x
@-inf
(sqrt.f64 (+.f64 2 x))

rewrite54.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
1482×add-sqr-sqrt
1458×*-un-lft-identity
1368×add-cube-cbrt
1358×add-cbrt-cube
1348×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0711
114811
2181011
Stop Event
1×node limit
Counts
1 → 24
Calls
Call 1
Inputs
(sqrt.f64 (+.f64 2 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.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 (pow.f64 (+.f64 2 x) 1/4) (pow.f64 (+.f64 2 x) 1/4))))) (#(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 (cbrt.f64 (sqrt.f64 (+.f64 2 x))) (cbrt.f64 (+.f64 2 x)))))) (#(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 (sqrt.f64 (+.f64 8 (pow.f64 x 3))) (sqrt.f64 (+.f64 4 (*.f64 x (-.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 4 (*.f64 x x))) (sqrt.f64 (-.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 2 x) 1/2)))) (#(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 (+.f64 2 x) 3/2) 1/3)))) (#(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 cbrt.f64 (pow.f64 (+.f64 2 x) 3/2))))) (#(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 (log.f64 (sqrt.f64 (+.f64 2 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 2 x))))))))

simplify60.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
1128×associate-*r*
968×associate-*l*
764×associate-/l*
682×fma-def
672×times-frac
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
087800
1191672
2505560
31419516
46085516
Stop Event
1×node limit
Counts
28 → 45
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 2 x))) 1)
(*.f64 (sqrt.f64 (+.f64 2 x)) 1)
(*.f64 1 (sqrt.f64 (+.f64 2 x)))
(*.f64 (pow.f64 (+.f64 2 x) 1/4) (pow.f64 (+.f64 2 x) 1/4))
(*.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 (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 (sqrt.f64 (+.f64 8 (pow.f64 x 3))) (sqrt.f64 (+.f64 4 (*.f64 x (-.f64 x 2)))))
(/.f64 (sqrt.f64 (-.f64 4 (*.f64 x x))) (sqrt.f64 (-.f64 2 x)))
(pow.f64 (+.f64 2 x) 1/2)
(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 (+.f64 2 x) 3/2) 1/3)
(fabs.f64 (sqrt.f64 (+.f64 2 x)))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 2 x))))
(cbrt.f64 (pow.f64 (+.f64 2 x) 3/2))
(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 (log.f64 (sqrt.f64 (+.f64 2 x))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 2 x))))
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 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 1/2 (/.f64 x (sqrt.f64 2)) (fma.f64 -1/16 (/.f64 x (/.f64 (sqrt.f64 2) x)) (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 2 x))) 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 2 x)) 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 2 x)))
(+.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 2 x) 1/4) (pow.f64 (+.f64 2 x) 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 2 x)) (cbrt.f64 (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 (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 2 x)))
(+.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 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))))
(pow.f64 (cbrt.f64 (+.f64 2 x)) 3/2)
(/.f64 (sqrt.f64 (+.f64 8 (pow.f64 x 3))) (sqrt.f64 (+.f64 4 (*.f64 x (-.f64 x 2)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) 8)) (sqrt.f64 (+.f64 4 (*.f64 x (+.f64 x -2)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) 8)) (sqrt.f64 (fma.f64 x (+.f64 x -2) 4)))
(/.f64 (sqrt.f64 (-.f64 4 (*.f64 x x))) (sqrt.f64 (-.f64 2 x)))
(pow.f64 (+.f64 2 x) 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 2 x)) 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 2 x) 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 2 x))) 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 2 x) 3/2) 1/3)
(cbrt.f64 (pow.f64 (+.f64 2 x) 3/2))
(fabs.f64 (sqrt.f64 (+.f64 2 x)))
(+.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 2 x))))
(+.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 2 x) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 2 x))))
(+.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 2 x))))
(+.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 2 x)) 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 2 x))) 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 2 x))))
(+.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 (exp.f64 x)))
0.0b
(+.f64 1 (exp.f64 x))
✓0.0b
(+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))))
✓0.6b
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 1)
Compiler

Compiled 30 to 20 computations (33.3% saved)

series1.0ms (0%)

Counts
2 → 16
Calls

6 calls:

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

rewrite98.0ms (2%)

Algorithm
1×batch-egg-rewrite
Rules
1408×associate-*r/
1078×associate-*l/
884×distribute-lft-in
808×*-commutative
320×associate-+l+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01048
121736
2297936
Stop Event
1×node limit
Counts
2 → 200
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 1)
(+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (expm1.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) (*.f64 (pow.f64 1 1/2) 0))))) (#(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 0 (sqrt.f64 (+.f64 1 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (expm1.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 1 1/2) 1) (*.f64 (pow.f64 1 1/2) (expm1.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 1 1/2) (expm1.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))) (*.f64 (pow.f64 1 1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 1 1/2) (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (*.f64 (pow.f64 1 1/2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 1 1/2) -1) (*.f64 (pow.f64 1 1/2) (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))))))))) (#(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 (+.f64 1 (exp.f64 x))) (pow.f64 1 1/2))))) (#(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 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 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simplify153.0ms (3.1%)

Algorithm
1×egg-herbie
Rules
1064×+-commutative
952×associate--r+
680×associate-+r-
630×associate-+l-
556×associate--l+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
052012988
1144712254
2539712254
Stop Event
1×node limit
Counts
216 → 318
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)))
(+.f64 (sqrt.f64 2) 1)
(+.f64 (sqrt.f64 2) (+.f64 1 (*.f64 1/2 (/.f64 x (sqrt.f64 2)))))
(+.f64 (sqrt.f64 2) (+.f64 1 (+.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 (+.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 1 (expm1.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2)))
(+.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 0)
(+.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) (*.f64 (pow.f64 1 1/2) 0))
(+.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) -1)
(+.f64 0 (sqrt.f64 (+.f64 1 (exp.f64 x))))
(+.f64 (expm1.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2)) 1)
(+.f64 -1 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(+.f64 (*.f64 (pow.f64 1 1/2) 1) (*.f64 (pow.f64 1 1/2) (expm1.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))))
(+.f64 (*.f64 (pow.f64 1 1/2) (expm1.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))) (*.f64 (pow.f64 1 1/2) 1))
(+.f64 (*.f64 (pow.f64 1 1/2) (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (*.f64 (pow.f64 1 1/2) -1))
(+.f64 (*.f64 (pow.f64 1 1/2) -1) (*.f64 (pow.f64 1 1/2) (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(*.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1)
(*.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) (pow.f64 1 1/2))
(*.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 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 2) -1) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 2)))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 2) (+.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 2))))
(*.f64 (sqrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))) (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 2))))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 2))) (sqrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))))
(*.f64 (+.f64 1 (hypot.f64 1 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4))) (-.f64 (hypot.f64 1 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)) 1))
(*.f64 (-.f64 (hypot.f64 1 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)) 1) (+.f64 1 (hypot.f64 1 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4))))
(*.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 2)) (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 2) -1))
(*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 2) (+.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 2))) (+.f64 -1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 3)))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 2)) 1/2) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 1/2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 1/2) (pow.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 2)) 1/2))
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(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 2) -1) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 2))) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 2)))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 2) -1) (*.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 2)) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 2)))) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 2)))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 3)) 1) (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 2) (+.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 2)))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 3)) (sqrt.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 2) (+.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 2)))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 2) (+.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 2))))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 2) (+.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 2))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 2) (+.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 2))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 2) (+.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 2))))
(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)
(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 (+.f64 1 (exp.f64 x)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(fma.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) -1)
(fma.f64 (hypot.f64 1 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)) (hypot.f64 1 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))))) 2) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))))) -1)
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 0)
(-.f64 (+.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 2) 1)
(-.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (/.f64 (+.f64 1 (exp.f64 x)) (-.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(-.f64 (/.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 2) (+.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 2)) (-.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 2)) 1))
(-.f64 (/.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 3) (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 2) (+.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 2))) (-.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 2) (+.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 2))) 1))
(-.f64 (+.f64 1 (/.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 2) (+.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 2))) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 2)))
(-.f64 (+.f64 1 (/.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 3) (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 2) (+.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 2)))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 2) (+.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 2))))
(*.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 1)
(*.f64 (hypot.f64 1 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)) (hypot.f64 1 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)))
(*.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))))) 2) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(*.f64 (-.f64 0 (exp.f64 x)) (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(*.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2)) (/.f64 1 (-.f64 (+.f64 2 (exp.f64 x)) (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(*.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (-.f64 0 (exp.f64 x)))
(*.f64 (/.f64 1 (-.f64 (+.f64 2 (exp.f64 x)) (sqrt.f64 (+.f64 1 (exp.f64 x))))) (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2)))
(*.f64 (/.f64 (-.f64 0 (exp.f64 x)) (-.f64 0 (exp.f64 x))) (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(*.f64 (/.f64 (exp.f64 x) (exp.f64 x)) (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(*.f64 (/.f64 (exp.f64 x) (-.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2) 1)) (+.f64 (+.f64 2 (exp.f64 x)) (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(*.f64 (/.f64 (-.f64 0 (exp.f64 x)) (-.f64 1 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2))) (+.f64 (+.f64 2 (exp.f64 x)) (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(*.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2)) (-.f64 1 (*.f64 (-.f64 (exp.f64 x) (expm1.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))) (-.f64 (exp.f64 x) (expm1.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2)))))) (+.f64 (-.f64 0 (exp.f64 x)) (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(*.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2)) (+.f64 1 (pow.f64 (-.f64 (exp.f64 x) (expm1.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))) 3))) (+.f64 1 (-.f64 (*.f64 (-.f64 (exp.f64 x) (expm1.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))) (-.f64 (exp.f64 x) (expm1.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2)))) (-.f64 (exp.f64 x) (expm1.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))))))
(/.f64 1 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(/.f64 1 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2)) (exp.f64 x)))
(/.f64 (exp.f64 x) (expm1.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2)))
(/.f64 (sqrt.f64 (exp.f64 x)) (/.f64 (expm1.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2)) (sqrt.f64 (exp.f64 x))))
(/.f64 (cbrt.f64 (exp.f64 x)) (/.f64 (expm1.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2)) (pow.f64 (cbrt.f64 (exp.f64 x)) 2)))
(/.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (/.f64 (expm1.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2)) (cbrt.f64 (exp.f64 x))))
(/.f64 (-.f64 0 (exp.f64 x)) (-.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2)) (-.f64 (+.f64 2 (exp.f64 x)) (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2)) (/.f64 (-.f64 (+.f64 2 (exp.f64 x)) (sqrt.f64 (+.f64 1 (exp.f64 x)))) 1))
(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2))) (/.f64 (-.f64 (+.f64 2 (exp.f64 x)) (sqrt.f64 (+.f64 1 (exp.f64 x)))) (sqrt.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2)))))
(/.f64 (sqrt.f64 (-.f64 0 (exp.f64 x))) (/.f64 (-.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (sqrt.f64 (-.f64 0 (exp.f64 x)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2))) (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2)))) (/.f64 (-.f64 (+.f64 2 (exp.f64 x)) (sqrt.f64 (+.f64 1 (exp.f64 x)))) (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 0 (exp.f64 x))) (cbrt.f64 (-.f64 0 (exp.f64 x)))) (/.f64 (-.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (cbrt.f64 (-.f64 0 (exp.f64 x)))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1 (exp.f64 x)) 2)) (*.f64 (-.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (+.f64 2 (exp.f64 x))))
(/.f64 (+.f64 1 (pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2) 3)) (*.f64 (-.f64 (+.f64 2 (exp.f64 x)) (sqrt.f64 (+.f64 1 (exp.f64 x)))) (+.f64 1 (-.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3) (pow.f64 (+.f64 1 (exp.f64 x)) 3/2)))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1 (exp.f64 x)) 3)) (*.f64 (-.f64 (+.f64 2 (exp.f64 x)) (sqrt.f64 (+.f64 1 (exp.f64 x)))) (-.f64 1 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1 (exp.f64 x)) 3)) (*.f64 (-.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (+.f64 1 (+.f64 (+.f64 1 (exp.f64 x)) (pow.f64 (+.f64 1 (exp.f64 x)) 2)))))
(/.f64 (neg.f64 (-.f64 0 (exp.f64 x))) (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2))) (neg.f64 (-.f64 (+.f64 2 (exp.f64 x)) (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(/.f64 (*.f64 1 (neg.f64 (-.f64 0 (exp.f64 x)))) (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(/.f64 (*.f64 1 (neg.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2)))) (neg.f64 (-.f64 (+.f64 2 (exp.f64 x)) (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(/.f64 (*.f64 (hypot.f64 1 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)) (sqrt.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2)))) (sqrt.f64 (-.f64 (+.f64 2 (exp.f64 x)) (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(/.f64 (*.f64 (hypot.f64 1 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)) (sqrt.f64 (-.f64 0 (exp.f64 x)))) (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))))) 2) (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2)))) (cbrt.f64 (-.f64 (+.f64 2 (exp.f64 x)) (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))))) 2) (cbrt.f64 (-.f64 0 (exp.f64 x)))) (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(/.f64 (*.f64 (neg.f64 (-.f64 0 (exp.f64 x))) 1) (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(/.f64 (*.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2))) 1) (neg.f64 (-.f64 (+.f64 2 (exp.f64 x)) (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2))) (hypot.f64 1 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4))) (sqrt.f64 (-.f64 (+.f64 2 (exp.f64 x)) (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 0 (exp.f64 x))) (hypot.f64 1 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4))) (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2))) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))))) 2)) (cbrt.f64 (-.f64 (+.f64 2 (exp.f64 x)) (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 0 (exp.f64 x))) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))))) 2)) (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 1 (exp.f64 x)) 2)) (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))))) (+.f64 2 (exp.f64 x)))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 1 (exp.f64 x)) 3)) (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))))) (+.f64 1 (+.f64 (+.f64 1 (exp.f64 x)) (pow.f64 (+.f64 1 (exp.f64 x)) 2))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2) 3)) (/.f64 1 (-.f64 (+.f64 2 (exp.f64 x)) (sqrt.f64 (+.f64 1 (exp.f64 x)))))) (+.f64 1 (-.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3) (pow.f64 (+.f64 1 (exp.f64 x)) 3/2))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 1 (exp.f64 x)) 3)) (/.f64 1 (-.f64 (+.f64 2 (exp.f64 x)) (sqrt.f64 (+.f64 1 (exp.f64 x)))))) (-.f64 1 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2)))
(/.f64 (/.f64 (exp.f64 x) 1) (expm1.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2)))
(/.f64 (/.f64 (exp.f64 x) (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2)))) (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))))
(/.f64 (/.f64 (exp.f64 x) (*.f64 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))) (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))))) (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))))
(/.f64 (/.f64 (exp.f64 x) (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4))) (-.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) 1))
(/.f64 (/.f64 (-.f64 0 (exp.f64 x)) 1) (-.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(/.f64 (/.f64 (-.f64 0 (exp.f64 x)) (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))))) (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(/.f64 (/.f64 (-.f64 0 (exp.f64 x)) (*.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))))))) (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2)) 1) (-.f64 (+.f64 2 (exp.f64 x)) (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2)) (sqrt.f64 (-.f64 (+.f64 2 (exp.f64 x)) (sqrt.f64 (+.f64 1 (exp.f64 x)))))) (sqrt.f64 (-.f64 (+.f64 2 (exp.f64 x)) (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2)) (*.f64 (cbrt.f64 (-.f64 (+.f64 2 (exp.f64 x)) (sqrt.f64 (+.f64 1 (exp.f64 x))))) (cbrt.f64 (-.f64 (+.f64 2 (exp.f64 x)) (sqrt.f64 (+.f64 1 (exp.f64 x))))))) (cbrt.f64 (-.f64 (+.f64 2 (exp.f64 x)) (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 1)
(pow.f64 (hypot.f64 1 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)) 2)
(pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))))) 3)
(pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 2))
(log.f64 (exp.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))))))
(cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 3))
(expm1.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 2)))
(exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(log1p.f64 (expm1.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(fma.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1)
(fma.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) 1)
(fma.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 1)
Outputs
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))
(+.f64 (sqrt.f64 2) (/.f64 (*.f64 1/2 x) (sqrt.f64 2)))
(fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (sqrt.f64 2))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 x 2)) (sqrt.f64 2))) (*.f64 1/2 (/.f64 x (sqrt.f64 2)))))
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(/.f64 (-.f64 1 (pow.f64 (+.f64 1 (exp.f64 x)) 3)) (*.f64 (-.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (+.f64 (+.f64 1 (+.f64 1 (exp.f64 x))) (pow.f64 (+.f64 1 (exp.f64 x)) 2))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1 (exp.f64 x)) 3)) (*.f64 (-.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (+.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 2) (+.f64 2 (exp.f64 x)))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2) 3)) (/.f64 1 (-.f64 (+.f64 2 (exp.f64 x)) (sqrt.f64 (+.f64 1 (exp.f64 x)))))) (+.f64 1 (-.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3) (pow.f64 (+.f64 1 (exp.f64 x)) 3/2))))
(/.f64 (+.f64 1 (pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2) 3)) (*.f64 (-.f64 (+.f64 2 (exp.f64 x)) (sqrt.f64 (+.f64 1 (exp.f64 x)))) (+.f64 1 (-.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3) (pow.f64 (+.f64 1 (exp.f64 x)) 3/2)))))
(/.f64 (+.f64 1 (pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2) 3)) (*.f64 (+.f64 2 (-.f64 (exp.f64 x) (sqrt.f64 (+.f64 1 (exp.f64 x))))) (+.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3) (-.f64 1 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2)))))
(/.f64 (+.f64 1 (pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2) 3)) (*.f64 (+.f64 2 (-.f64 (exp.f64 x) (sqrt.f64 (+.f64 1 (exp.f64 x))))) (+.f64 (-.f64 1 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2)) (pow.f64 (+.f64 1 (exp.f64 x)) 3))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 1 (exp.f64 x)) 3)) (/.f64 1 (-.f64 (+.f64 2 (exp.f64 x)) (sqrt.f64 (+.f64 1 (exp.f64 x)))))) (-.f64 1 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2)))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 1 (exp.f64 x)) 3)) (-.f64 (+.f64 2 (exp.f64 x)) (sqrt.f64 (+.f64 1 (exp.f64 x))))) (-.f64 1 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2)))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1 (exp.f64 x)) 3)) (*.f64 (+.f64 2 (-.f64 (exp.f64 x) (sqrt.f64 (+.f64 1 (exp.f64 x))))) (-.f64 1 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2))))
(/.f64 (/.f64 (exp.f64 x) 1) (expm1.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2)))
(*.f64 (/.f64 1 (expm1.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))))) (exp.f64 x))
(/.f64 (exp.f64 x) (expm1.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x)))))
(/.f64 (/.f64 (exp.f64 x) (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2)))) (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))))
(*.f64 (/.f64 1 (expm1.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))))) (exp.f64 x))
(/.f64 (exp.f64 x) (expm1.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x)))))
(/.f64 (/.f64 (exp.f64 x) (*.f64 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))) (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))))) (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))))
(*.f64 (/.f64 1 (expm1.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))))) (exp.f64 x))
(/.f64 (exp.f64 x) (expm1.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x)))))
(/.f64 (/.f64 (exp.f64 x) (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4))) (-.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) 1))
(/.f64 (neg.f64 (neg.f64 (exp.f64 x))) (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(/.f64 (exp.f64 x) (+.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) -1))
(/.f64 (/.f64 (-.f64 0 (exp.f64 x)) 1) (-.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(*.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (neg.f64 (exp.f64 x)))
(/.f64 (neg.f64 (exp.f64 x)) (-.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(/.f64 (/.f64 (-.f64 0 (exp.f64 x)) (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))))) (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(*.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (neg.f64 (exp.f64 x)))
(/.f64 (neg.f64 (exp.f64 x)) (-.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(/.f64 (/.f64 (-.f64 0 (exp.f64 x)) (*.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))))))) (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(*.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (neg.f64 (exp.f64 x)))
(/.f64 (neg.f64 (exp.f64 x)) (-.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2)) 1) (-.f64 (+.f64 2 (exp.f64 x)) (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2)) 1) (-.f64 (+.f64 2 (exp.f64 x)) (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2)) (+.f64 2 (-.f64 (exp.f64 x) (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2)) (sqrt.f64 (-.f64 (+.f64 2 (exp.f64 x)) (sqrt.f64 (+.f64 1 (exp.f64 x)))))) (sqrt.f64 (-.f64 (+.f64 2 (exp.f64 x)) (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2)) 1) (-.f64 (+.f64 2 (exp.f64 x)) (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2)) (+.f64 2 (-.f64 (exp.f64 x) (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2)) (*.f64 (cbrt.f64 (-.f64 (+.f64 2 (exp.f64 x)) (sqrt.f64 (+.f64 1 (exp.f64 x))))) (cbrt.f64 (-.f64 (+.f64 2 (exp.f64 x)) (sqrt.f64 (+.f64 1 (exp.f64 x))))))) (cbrt.f64 (-.f64 (+.f64 2 (exp.f64 x)) (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2)) 1) (-.f64 (+.f64 2 (exp.f64 x)) (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2)) (+.f64 2 (-.f64 (exp.f64 x) (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 1)
(+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))))
(pow.f64 (hypot.f64 1 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)) 2)
(pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))))) 3)
(+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))))
(pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 3) 1/3)
(+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))))
(sqrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 2))
(fabs.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(log.f64 (exp.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))))))
(+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))))
(cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 3))
(+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))))
(expm1.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 2)))
(expm1.f64 (log.f64 (+.f64 2 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(log1p.f64 (expm1.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))))
(fma.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1)
(+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))))
(fma.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) 1)
(+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))))
(fma.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 1)
(fma.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (cbrt.f64 (+.f64 1 (exp.f64 x))) 1)

eval201.0ms (4%)

Compiler

Compiled 10638 to 8180 computations (23.1% saved)

prune178.0ms (3.5%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New4612463
Fresh000
Picked101
Done033
Total4625467
Error
0b
Counts
467 → 5
Alt Table
Click to see full alt table
StatusErrorProgram
▶19.0b
(-.f64 (+.f64 (sqrt.f64 2) 1) 1)
▶23.5b
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 1)
✓22.9b
(sqrt.f64 (+.f64 2 x))
✓0.0b
(sqrt.f64 (+.f64 1 (exp.f64 x)))
✓18.4b
(sqrt.f64 2)
Compiler

Compiled 30 to 27 computations (10% saved)

localize11.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiled 25 to 20 computations (20% saved)

series1.0ms (0%)

Counts
2 → 8
Calls

6 calls:

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

rewrite87.0ms (1.7%)

Algorithm
1×batch-egg-rewrite
Rules
1450×associate-*r/
1116×associate-*l/
848×distribute-lft-in
812×*-commutative
312×associate-/r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01040
122328
2300628
Stop Event
1×node limit
Counts
2 → 197
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 1)
(+.f64 1 (sqrt.f64 (+.f64 2 x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (sqrt.f64 (+.f64 2 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (+.f64 2 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (+.f64 2 x)) (*.f64 (pow.f64 1 1/2) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (+.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (sqrt.f64 (+.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 1 1/2) 1) (*.f64 (pow.f64 1 1/2) (+.f64 (sqrt.f64 (+.f64 2 x)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 1 1/2) (+.f64 (sqrt.f64 (+.f64 2 x)) -1)) (*.f64 (pow.f64 1 1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 1 1/2) (+.f64 1 (sqrt.f64 (+.f64 2 x)))) (*.f64 (pow.f64 1 1/2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 1 1/2) -1) (*.f64 (pow.f64 1 1/2) (+.f64 1 (sqrt.f64 (+.f64 2 x)))))))) (#(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 (sqrt.f64 (+.f64 2 x)) (pow.f64 1 1/2))))) (#(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 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) -1) (/.f64 1 (+.f64 2 (sqrt.f64 (+.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) 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2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (sqrt.f64 (+.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (sqrt.f64 (+.f64 2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 2 x) 1/4) (pow.f64 (+.f64 2 x) 1/4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 2 x)) (cbrt.f64 (sqrt.f64 (+.f64 2 x))) 1)))))

simplify171.0ms (3.4%)

Algorithm
1×egg-herbie
Rules
1188×associate-+r-
1084×+-commutative
1000×associate-+l-
808×associate--l+
568×distribute-lft-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
050810645
1143410089
2559810063
Stop Event
1×node limit
Counts
205 → 313
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 (sqrt.f64 2) 1)
(+.f64 (sqrt.f64 2) (+.f64 1 (*.f64 1/2 (/.f64 x (sqrt.f64 2)))))
(+.f64 (sqrt.f64 2) (+.f64 1 (+.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 1 (+.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 1 (+.f64 (sqrt.f64 (+.f64 2 x)) -1))
(+.f64 (sqrt.f64 (+.f64 2 x)) 0)
(+.f64 (sqrt.f64 (+.f64 2 x)) (*.f64 (pow.f64 1 1/2) 0))
(+.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) -1)
(+.f64 0 (sqrt.f64 (+.f64 2 x)))
(+.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) -1) 1)
(+.f64 -1 (+.f64 1 (sqrt.f64 (+.f64 2 x))))
(+.f64 (*.f64 (pow.f64 1 1/2) 1) (*.f64 (pow.f64 1 1/2) (+.f64 (sqrt.f64 (+.f64 2 x)) -1)))
(+.f64 (*.f64 (pow.f64 1 1/2) (+.f64 (sqrt.f64 (+.f64 2 x)) -1)) (*.f64 (pow.f64 1 1/2) 1))
(+.f64 (*.f64 (pow.f64 1 1/2) (+.f64 1 (sqrt.f64 (+.f64 2 x)))) (*.f64 (pow.f64 1 1/2) -1))
(+.f64 (*.f64 (pow.f64 1 1/2) -1) (*.f64 (pow.f64 1 1/2) (+.f64 1 (sqrt.f64 (+.f64 2 x)))))
(*.f64 1 (sqrt.f64 (+.f64 2 x)))
(*.f64 (sqrt.f64 (+.f64 2 x)) 1)
(*.f64 (sqrt.f64 (+.f64 2 x)) (pow.f64 1 1/2))
(*.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 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) -1) (/.f64 1 (+.f64 2 (sqrt.f64 (+.f64 2 x)))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) (+.f64 2 (sqrt.f64 (+.f64 2 x))))))
(*.f64 (sqrt.f64 (cbrt.f64 (+.f64 2 x))) (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 2 x) 2))))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 2 x) 2))) (sqrt.f64 (cbrt.f64 (+.f64 2 x))))
(*.f64 (+.f64 1 (hypot.f64 1 (pow.f64 (+.f64 2 x) 1/4))) (-.f64 (hypot.f64 1 (pow.f64 (+.f64 2 x) 1/4)) 1))
(*.f64 (-.f64 (hypot.f64 1 (pow.f64 (+.f64 2 x) 1/4)) 1) (+.f64 1 (hypot.f64 1 (pow.f64 (+.f64 2 x) 1/4))))
(*.f64 (/.f64 1 (+.f64 2 (sqrt.f64 (+.f64 2 x)))) (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) -1))
(*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) (+.f64 2 (sqrt.f64 (+.f64 2 x))))) (+.f64 -1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3)))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 2 x)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 2 x) 2)) 1/2) (pow.f64 (cbrt.f64 (+.f64 2 x)) 1/2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 1/2) (pow.f64 (cbrt.f64 (pow.f64 (+.f64 2 x) 2)) 1/2))
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) -1) (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) -1)) (sqrt.f64 (+.f64 2 x)))
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) -1) (-.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2))) (-.f64 0 (sqrt.f64 (+.f64 2 x))))
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) -1) (+.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3))) (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) (-.f64 0 (sqrt.f64 (+.f64 2 x)))))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3)) (-.f64 (*.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2)) (*.f64 (+.f64 2 (sqrt.f64 (+.f64 2 x))) (+.f64 2 (sqrt.f64 (+.f64 2 x)))))) (-.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) (+.f64 2 (sqrt.f64 (+.f64 2 x)))))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3)) (+.f64 (pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) 3) (pow.f64 (+.f64 2 (sqrt.f64 (+.f64 2 x))) 3))) (+.f64 (*.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2)) (-.f64 (*.f64 (+.f64 2 (sqrt.f64 (+.f64 2 x))) (+.f64 2 (sqrt.f64 (+.f64 2 x)))) (*.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) (+.f64 2 (sqrt.f64 (+.f64 2 x)))))))
(/.f64 1 (/.f64 1 (sqrt.f64 (+.f64 2 x))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) (-.f64 1 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) -1))) (+.f64 -1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3))))
(/.f64 (sqrt.f64 (+.f64 2 x)) 1)
(/.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) -1) (+.f64 2 (sqrt.f64 (+.f64 2 x))))
(/.f64 (+.f64 2 (sqrt.f64 (+.f64 2 x))) (/.f64 (+.f64 2 (sqrt.f64 (+.f64 2 x))) (sqrt.f64 (+.f64 2 x))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3)) (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) (+.f64 2 (sqrt.f64 (+.f64 2 x)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3)) (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) (-.f64 1 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) -1))))
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3))) (/.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) (+.f64 2 (sqrt.f64 (+.f64 2 x)))) (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3)))))
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3))) (/.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) (-.f64 1 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) -1))) (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3)))))
(/.f64 (sqrt.f64 (-.f64 4 (*.f64 x x))) (sqrt.f64 (-.f64 2 x)))
(/.f64 (sqrt.f64 (+.f64 8 (pow.f64 x 3))) (sqrt.f64 (+.f64 4 (*.f64 x (-.f64 x 2)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) -1)) (/.f64 (+.f64 2 (sqrt.f64 (+.f64 2 x))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) -1))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3))) (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3)))) (/.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) (+.f64 2 (sqrt.f64 (+.f64 2 x)))) (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3))) (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3)))) (/.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) (-.f64 1 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) -1))) (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) -1)) (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) -1))) (/.f64 (+.f64 2 (sqrt.f64 (+.f64 2 x))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) -1))))
(/.f64 (-.f64 1 (*.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) -1) (+.f64 (sqrt.f64 (+.f64 2 x)) -1))) (-.f64 2 (sqrt.f64 (+.f64 2 x))))
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2)) 1) (*.f64 (+.f64 2 (sqrt.f64 (+.f64 2 x))) (+.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2))))
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3)) 1) (*.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) (+.f64 2 (sqrt.f64 (+.f64 2 x)))) (+.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3))))
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3)) 1) (*.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) (-.f64 1 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) -1))) (+.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) -1) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) -1) (+.f64 (sqrt.f64 (+.f64 2 x)) -1)) (+.f64 (sqrt.f64 (+.f64 2 x)) -1))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) 3) 1) (*.f64 (+.f64 2 (sqrt.f64 (+.f64 2 x))) (+.f64 (*.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2)) (+.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3) 3) 1) (*.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) (+.f64 2 (sqrt.f64 (+.f64 2 x)))) (+.f64 (*.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3)) (+.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3) 3) 1) (*.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) (-.f64 1 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) -1))) (+.f64 (*.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3)) (+.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) -1)) (neg.f64 (+.f64 2 (sqrt.f64 (+.f64 2 x)))))
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) (+.f64 2 (sqrt.f64 (+.f64 2 x))))))
(/.f64 (*.f64 1 (sqrt.f64 (-.f64 4 (*.f64 x x)))) (sqrt.f64 (-.f64 2 x)))
(/.f64 (*.f64 1 (sqrt.f64 (+.f64 8 (pow.f64 x 3)))) (sqrt.f64 (+.f64 4 (*.f64 x (-.f64 x 2)))))
(/.f64 (*.f64 1 (-.f64 1 (*.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) -1) (+.f64 (sqrt.f64 (+.f64 2 x)) -1)))) (-.f64 2 (sqrt.f64 (+.f64 2 x))))
(/.f64 (*.f64 1 (+.f64 1 (pow.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) -1) 3))) (+.f64 1 (-.f64 (*.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) -1) (+.f64 (sqrt.f64 (+.f64 2 x)) -1)) (+.f64 (sqrt.f64 (+.f64 2 x)) -1))))
(/.f64 (*.f64 1 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) -1))) (neg.f64 (+.f64 2 (sqrt.f64 (+.f64 2 x)))))
(/.f64 (*.f64 1 (neg.f64 (+.f64 -1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3)))) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) (+.f64 2 (sqrt.f64 (+.f64 2 x))))))
(/.f64 (*.f64 (pow.f64 (+.f64 2 x) 1/4) (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3)))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) (+.f64 2 (sqrt.f64 (+.f64 2 x))))))
(/.f64 (*.f64 (pow.f64 (+.f64 2 x) 1/4) (sqrt.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) -1))) (sqrt.f64 (+.f64 2 (sqrt.f64 (+.f64 2 x)))))
(/.f64 (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 x))) (cbrt.f64 (-.f64 4 (*.f64 x x)))) (cbrt.f64 (-.f64 2 x)))
(/.f64 (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 x))) (cbrt.f64 (+.f64 8 (pow.f64 x 3)))) (cbrt.f64 (+.f64 4 (*.f64 x (-.f64 x 2)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 2 x)) (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3)))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) (+.f64 2 (sqrt.f64 (+.f64 2 x))))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 2 x)) (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) -1))) (cbrt.f64 (+.f64 2 (sqrt.f64 (+.f64 2 x)))))
(/.f64 (*.f64 (pow.f64 1 1/2) 1) (/.f64 1 (sqrt.f64 (+.f64 2 x))))
(/.f64 (*.f64 (pow.f64 1 1/2) (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) -1)) (+.f64 2 (sqrt.f64 (+.f64 2 x))))
(/.f64 (*.f64 (pow.f64 1 1/2) (+.f64 -1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3))) (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) (+.f64 2 (sqrt.f64 (+.f64 2 x)))))
(/.f64 (*.f64 (pow.f64 1 1/2) (+.f64 -1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3))) (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) (-.f64 1 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) -1))))
(/.f64 (*.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 4 (*.f64 x x)))) (sqrt.f64 (-.f64 2 x)))
(/.f64 (*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 8 (pow.f64 x 3)))) (sqrt.f64 (+.f64 4 (*.f64 x (-.f64 x 2)))))
(/.f64 (*.f64 (pow.f64 1 1/2) (-.f64 1 (*.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) -1) (+.f64 (sqrt.f64 (+.f64 2 x)) -1)))) (-.f64 2 (sqrt.f64 (+.f64 2 x))))
(/.f64 (*.f64 (pow.f64 1 1/2) (+.f64 1 (pow.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) -1) 3))) (+.f64 1 (-.f64 (*.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) -1) (+.f64 (sqrt.f64 (+.f64 2 x)) -1)) (+.f64 (sqrt.f64 (+.f64 2 x)) -1))))
(/.f64 (*.f64 (pow.f64 1 1/2) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) -1))) (neg.f64 (+.f64 2 (sqrt.f64 (+.f64 2 x)))))
(/.f64 (*.f64 (pow.f64 1 1/2) (neg.f64 (+.f64 -1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3)))) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) (+.f64 2 (sqrt.f64 (+.f64 2 x))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 4 (*.f64 x x))) 1) (sqrt.f64 (-.f64 2 x)))
(/.f64 (*.f64 (sqrt.f64 (+.f64 8 (pow.f64 x 3))) 1) (sqrt.f64 (+.f64 4 (*.f64 x (-.f64 x 2)))))
(/.f64 (*.f64 (-.f64 1 (*.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) -1) (+.f64 (sqrt.f64 (+.f64 2 x)) -1))) 1) (-.f64 2 (sqrt.f64 (+.f64 2 x))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) -1) 3)) 1) (+.f64 1 (-.f64 (*.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) -1) (+.f64 (sqrt.f64 (+.f64 2 x)) -1)) (+.f64 (sqrt.f64 (+.f64 2 x)) -1))))
(/.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) -1)) 1) (neg.f64 (+.f64 2 (sqrt.f64 (+.f64 2 x)))))
(/.f64 (*.f64 (neg.f64 (+.f64 -1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3))) 1) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) (+.f64 2 (sqrt.f64 (+.f64 2 x))))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3))) (pow.f64 (+.f64 2 x) 1/4)) (sqrt.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) (+.f64 2 (sqrt.f64 (+.f64 2 x))))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) -1)) (pow.f64 (+.f64 2 x) 1/4)) (sqrt.f64 (+.f64 2 (sqrt.f64 (+.f64 2 x)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3))) (cbrt.f64 (+.f64 2 x))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) (+.f64 2 (sqrt.f64 (+.f64 2 x))))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) -1)) (cbrt.f64 (+.f64 2 x))) (cbrt.f64 (+.f64 2 (sqrt.f64 (+.f64 2 x)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 4 (*.f64 x x))) (cbrt.f64 (sqrt.f64 (+.f64 2 x)))) (cbrt.f64 (-.f64 2 x)))
(/.f64 (*.f64 (cbrt.f64 (+.f64 8 (pow.f64 x 3))) (cbrt.f64 (sqrt.f64 (+.f64 2 x)))) (cbrt.f64 (+.f64 4 (*.f64 x (-.f64 x 2)))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2)) 1) (/.f64 1 (+.f64 2 (sqrt.f64 (+.f64 2 x))))) (+.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) 3) 1) (/.f64 1 (+.f64 2 (sqrt.f64 (+.f64 2 x))))) (+.f64 (*.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2)) (+.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3)) 1) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) (+.f64 2 (sqrt.f64 (+.f64 2 x)))))) (+.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3) 3) 1) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) (+.f64 2 (sqrt.f64 (+.f64 2 x)))))) (+.f64 (*.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3)) (+.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3))))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) -1) 1) (+.f64 2 (sqrt.f64 (+.f64 2 x))))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) -1) (sqrt.f64 (+.f64 2 (sqrt.f64 (+.f64 2 x))))) (sqrt.f64 (+.f64 2 (sqrt.f64 (+.f64 2 x)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) -1) (*.f64 (cbrt.f64 (+.f64 2 (sqrt.f64 (+.f64 2 x)))) (cbrt.f64 (+.f64 2 (sqrt.f64 (+.f64 2 x)))))) (cbrt.f64 (+.f64 2 (sqrt.f64 (+.f64 2 x)))))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3)) 1) (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) (+.f64 2 (sqrt.f64 (+.f64 2 x)))))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3)) (sqrt.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) (+.f64 2 (sqrt.f64 (+.f64 2 x)))))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) (+.f64 2 (sqrt.f64 (+.f64 2 x))))))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) (+.f64 2 (sqrt.f64 (+.f64 2 x))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) (+.f64 2 (sqrt.f64 (+.f64 2 x))))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) (+.f64 2 (sqrt.f64 (+.f64 2 x))))))
(pow.f64 (+.f64 2 x) 1/2)
(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 (+.f64 2 x) 3/2) 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 (+.f64 2 x) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 2 x))))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 2 x))))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 2 x))))
(fma.f64 1 (+.f64 1 (sqrt.f64 (+.f64 2 x))) -1)
(fma.f64 (hypot.f64 1 (pow.f64 (+.f64 2 x) 1/4)) (hypot.f64 1 (pow.f64 (+.f64 2 x) 1/4)) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) 2) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) -1)
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 0)
(-.f64 (+.f64 2 (sqrt.f64 (+.f64 2 x))) 1)
(-.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) (/.f64 (+.f64 2 x) (-.f64 1 (sqrt.f64 (+.f64 2 x)))))
(-.f64 (/.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) (+.f64 2 (sqrt.f64 (+.f64 2 x)))) (-.f64 (/.f64 1 (+.f64 2 (sqrt.f64 (+.f64 2 x)))) 1))
(-.f64 (/.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3) (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) (+.f64 2 (sqrt.f64 (+.f64 2 x))))) (-.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) (+.f64 2 (sqrt.f64 (+.f64 2 x))))) 1))
(-.f64 (+.f64 1 (/.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) (+.f64 2 (sqrt.f64 (+.f64 2 x))))) (/.f64 1 (+.f64 2 (sqrt.f64 (+.f64 2 x)))))
(-.f64 (+.f64 1 (/.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3) (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) (+.f64 2 (sqrt.f64 (+.f64 2 x)))))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) (+.f64 2 (sqrt.f64 (+.f64 2 x))))))
(*.f64 1 (+.f64 1 (sqrt.f64 (+.f64 2 x))))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 1)
(*.f64 (hypot.f64 1 (pow.f64 (+.f64 2 x) 1/4)) (hypot.f64 1 (pow.f64 (+.f64 2 x) 1/4)))
(*.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) 2) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))))
(*.f64 (-.f64 -1 x) (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 2 x)))))
(*.f64 (+.f64 1 (pow.f64 (+.f64 2 x) 3/2)) (/.f64 1 (+.f64 3 (-.f64 x (sqrt.f64 (+.f64 2 x))))))
(*.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) (-.f64 -1 x))
(*.f64 (/.f64 1 (+.f64 3 (-.f64 x (sqrt.f64 (+.f64 2 x))))) (+.f64 1 (pow.f64 (+.f64 2 x) 3/2)))
(*.f64 (/.f64 (-.f64 -1 x) (-.f64 -1 x)) (+.f64 1 (sqrt.f64 (+.f64 2 x))))
(*.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)) (+.f64 1 (sqrt.f64 (+.f64 2 x))))
(*.f64 (/.f64 (-.f64 -1 x) (-.f64 1 (pow.f64 (+.f64 2 x) 3/2))) (+.f64 (+.f64 3 x) (sqrt.f64 (+.f64 2 x))))
(*.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 2 x) 3/2)) (-.f64 1 (*.f64 (+.f64 2 (-.f64 x (sqrt.f64 (+.f64 2 x)))) (+.f64 2 (-.f64 x (sqrt.f64 (+.f64 2 x))))))) (+.f64 (-.f64 -1 x) (sqrt.f64 (+.f64 2 x))))
(*.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 2 x) 3/2)) (+.f64 1 (pow.f64 (+.f64 2 (-.f64 x (sqrt.f64 (+.f64 2 x)))) 3))) (+.f64 1 (+.f64 (-.f64 (*.f64 (+.f64 2 (-.f64 x (sqrt.f64 (+.f64 2 x)))) (+.f64 2 (-.f64 x (sqrt.f64 (+.f64 2 x))))) (+.f64 2 x)) (sqrt.f64 (+.f64 2 x)))))
(*.f64 (/.f64 (+.f64 1 x) (-.f64 (pow.f64 (+.f64 2 x) 3/2) 1)) (+.f64 (+.f64 3 x) (sqrt.f64 (+.f64 2 x))))
(/.f64 1 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 2 x)))))
(/.f64 (-.f64 -1 x) (-.f64 1 (sqrt.f64 (+.f64 2 x))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 2 x) 3/2)) (+.f64 3 (-.f64 x (sqrt.f64 (+.f64 2 x)))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 2 x) 3/2)) (/.f64 (+.f64 3 (-.f64 x (sqrt.f64 (+.f64 2 x)))) 1))
(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 (+.f64 2 x) 3/2))) (/.f64 (+.f64 3 (-.f64 x (sqrt.f64 (+.f64 2 x)))) (sqrt.f64 (+.f64 1 (pow.f64 (+.f64 2 x) 3/2)))))
(/.f64 (sqrt.f64 (-.f64 -1 x)) (/.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))) (sqrt.f64 (-.f64 -1 x))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 2 x) 3/2))) (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 2 x) 3/2)))) (/.f64 (+.f64 3 (-.f64 x (sqrt.f64 (+.f64 2 x)))) (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 2 x) 3/2)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 -1 x)) (cbrt.f64 (-.f64 -1 x))) (/.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))) (cbrt.f64 (-.f64 -1 x))))
(/.f64 (+.f64 1 x) (+.f64 (sqrt.f64 (+.f64 2 x)) -1))
(/.f64 (-.f64 1 (pow.f64 (+.f64 2 x) 2)) (*.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))) (+.f64 3 x)))
(/.f64 (+.f64 1 (pow.f64 (pow.f64 (+.f64 2 x) 3/2) 3)) (*.f64 (+.f64 3 (-.f64 x (sqrt.f64 (+.f64 2 x)))) (+.f64 1 (-.f64 (pow.f64 (+.f64 2 x) 3) (pow.f64 (+.f64 2 x) 3/2)))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 2 x) 3)) (*.f64 (+.f64 3 (-.f64 x (sqrt.f64 (+.f64 2 x)))) (-.f64 1 (pow.f64 (+.f64 2 x) 3/2))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 2 x) 3)) (*.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))) (+.f64 1 (+.f64 (+.f64 2 x) (pow.f64 (+.f64 2 x) 2)))))
(/.f64 (neg.f64 (-.f64 -1 x)) (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 2 x) 3/2))) (neg.f64 (+.f64 3 (-.f64 x (sqrt.f64 (+.f64 2 x))))))
(/.f64 (*.f64 1 (+.f64 1 x)) (+.f64 (sqrt.f64 (+.f64 2 x)) -1))
(/.f64 (*.f64 1 (neg.f64 (-.f64 -1 x))) (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))))
(/.f64 (*.f64 1 (neg.f64 (+.f64 1 (pow.f64 (+.f64 2 x) 3/2)))) (neg.f64 (+.f64 3 (-.f64 x (sqrt.f64 (+.f64 2 x))))))
(/.f64 (*.f64 (hypot.f64 1 (pow.f64 (+.f64 2 x) 1/4)) (sqrt.f64 (+.f64 1 (pow.f64 (+.f64 2 x) 3/2)))) (sqrt.f64 (+.f64 3 (-.f64 x (sqrt.f64 (+.f64 2 x))))))
(/.f64 (*.f64 (hypot.f64 1 (pow.f64 (+.f64 2 x) 1/4)) (sqrt.f64 (-.f64 -1 x))) (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) 2) (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 2 x) 3/2)))) (cbrt.f64 (+.f64 3 (-.f64 x (sqrt.f64 (+.f64 2 x))))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) 2) (cbrt.f64 (-.f64 -1 x))) (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))))
(/.f64 (*.f64 (+.f64 1 x) 1) (+.f64 (sqrt.f64 (+.f64 2 x)) -1))
(/.f64 (*.f64 (neg.f64 (-.f64 -1 x)) 1) (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))))
(/.f64 (*.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 2 x) 3/2))) 1) (neg.f64 (+.f64 3 (-.f64 x (sqrt.f64 (+.f64 2 x))))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 1 (pow.f64 (+.f64 2 x) 3/2))) (hypot.f64 1 (pow.f64 (+.f64 2 x) 1/4))) (sqrt.f64 (+.f64 3 (-.f64 x (sqrt.f64 (+.f64 2 x))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 -1 x)) (hypot.f64 1 (pow.f64 (+.f64 2 x) 1/4))) (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 2 x) 3/2))) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) 2)) (cbrt.f64 (+.f64 3 (-.f64 x (sqrt.f64 (+.f64 2 x))))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 -1 x)) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) 2)) (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 2 x) 2)) (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 2 x))))) (+.f64 3 x))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 2 x) 3)) (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 2 x))))) (+.f64 1 (+.f64 (+.f64 2 x) (pow.f64 (+.f64 2 x) 2))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (pow.f64 (+.f64 2 x) 3/2) 3)) (/.f64 1 (+.f64 3 (-.f64 x (sqrt.f64 (+.f64 2 x)))))) (+.f64 1 (-.f64 (pow.f64 (+.f64 2 x) 3) (pow.f64 (+.f64 2 x) 3/2))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 2 x) 3)) (/.f64 1 (+.f64 3 (-.f64 x (sqrt.f64 (+.f64 2 x)))))) (-.f64 1 (pow.f64 (+.f64 2 x) 3/2)))
(/.f64 (/.f64 (-.f64 -1 x) 1) (-.f64 1 (sqrt.f64 (+.f64 2 x))))
(/.f64 (/.f64 (+.f64 1 x) 1) (+.f64 (sqrt.f64 (+.f64 2 x)) -1))
(/.f64 (/.f64 (-.f64 -1 x) (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))))) (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))))
(/.f64 (/.f64 (-.f64 -1 x) (*.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))))) (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 2 x) 3/2)) 1) (+.f64 3 (-.f64 x (sqrt.f64 (+.f64 2 x)))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 2 x) 3/2)) (sqrt.f64 (+.f64 3 (-.f64 x (sqrt.f64 (+.f64 2 x)))))) (sqrt.f64 (+.f64 3 (-.f64 x (sqrt.f64 (+.f64 2 x))))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 2 x) 3/2)) (*.f64 (cbrt.f64 (+.f64 3 (-.f64 x (sqrt.f64 (+.f64 2 x))))) (cbrt.f64 (+.f64 3 (-.f64 x (sqrt.f64 (+.f64 2 x))))))) (cbrt.f64 (+.f64 3 (-.f64 x (sqrt.f64 (+.f64 2 x))))))
(/.f64 (/.f64 (+.f64 1 x) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) -1))) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) -1)))
(/.f64 (/.f64 (+.f64 1 x) (*.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) -1)) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) -1)))) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) -1)))
(/.f64 (/.f64 (+.f64 1 x) (+.f64 1 (pow.f64 (+.f64 2 x) 1/4))) (-.f64 (pow.f64 (+.f64 2 x) 1/4) 1))
(pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 1)
(pow.f64 (hypot.f64 1 (pow.f64 (+.f64 2 x) 1/4)) 2)
(pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) 3)
(pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2))
(log.f64 (exp.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))))))
(cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3))
(expm1.f64 (log1p.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))))
(exp.f64 (log1p.f64 (sqrt.f64 (+.f64 2 x))))
(log1p.f64 (expm1.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))))
(fma.f64 1 (sqrt.f64 (+.f64 2 x)) 1)
(fma.f64 (pow.f64 (+.f64 2 x) 1/4) (pow.f64 (+.f64 2 x) 1/4) 1)
(fma.f64 (cbrt.f64 (+.f64 2 x)) (cbrt.f64 (sqrt.f64 (+.f64 2 x))) 1)
Outputs
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))
(fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (sqrt.f64 2))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 2) 3))) (*.f64 1/2 (/.f64 x (sqrt.f64 2)))))
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(*.f64 (+.f64 1 (pow.f64 (+.f64 2 x) 3/2)) (/.f64 1 (-.f64 (+.f64 x 3) (sqrt.f64 (+.f64 2 x)))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 2 x) 3/2)) (-.f64 (+.f64 x 3) (sqrt.f64 (+.f64 2 x))))
(/.f64 (*.f64 1 (+.f64 1 x)) (+.f64 (sqrt.f64 (+.f64 2 x)) -1))
(/.f64 (+.f64 x 1) (+.f64 (sqrt.f64 (+.f64 2 x)) -1))
(/.f64 (*.f64 1 (neg.f64 (-.f64 -1 x))) (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))))
(/.f64 (+.f64 x 1) (+.f64 (sqrt.f64 (+.f64 2 x)) -1))
(/.f64 (*.f64 1 (neg.f64 (+.f64 1 (pow.f64 (+.f64 2 x) 3/2)))) (neg.f64 (+.f64 3 (-.f64 x (sqrt.f64 (+.f64 2 x))))))
(*.f64 (+.f64 1 (pow.f64 (+.f64 2 x) 3/2)) (/.f64 1 (-.f64 (+.f64 x 3) (sqrt.f64 (+.f64 2 x)))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 2 x) 3/2)) (-.f64 (+.f64 x 3) (sqrt.f64 (+.f64 2 x))))
(/.f64 (*.f64 (hypot.f64 1 (pow.f64 (+.f64 2 x) 1/4)) (sqrt.f64 (+.f64 1 (pow.f64 (+.f64 2 x) 3/2)))) (sqrt.f64 (+.f64 3 (-.f64 x (sqrt.f64 (+.f64 2 x))))))
(/.f64 (hypot.f64 1 (pow.f64 (+.f64 2 x) 1/4)) (/.f64 (sqrt.f64 (-.f64 (+.f64 x 3) (sqrt.f64 (+.f64 2 x)))) (sqrt.f64 (+.f64 1 (pow.f64 (+.f64 2 x) 3/2)))))
(*.f64 (/.f64 (hypot.f64 1 (pow.f64 (+.f64 2 x) 1/4)) (sqrt.f64 (-.f64 (+.f64 x 3) (sqrt.f64 (+.f64 2 x))))) (hypot.f64 1 (pow.f64 (+.f64 2 x) 3/4)))
(/.f64 (*.f64 (hypot.f64 1 (pow.f64 (+.f64 2 x) 1/4)) (sqrt.f64 (-.f64 -1 x))) (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))))
(/.f64 (hypot.f64 1 (pow.f64 (+.f64 2 x) 1/4)) (/.f64 (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) (sqrt.f64 (-.f64 -1 x))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) 2) (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 2 x) 3/2)))) (cbrt.f64 (+.f64 3 (-.f64 x (sqrt.f64 (+.f64 2 x))))))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) 2) (/.f64 (cbrt.f64 (-.f64 (+.f64 x 3) (sqrt.f64 (+.f64 2 x)))) (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 2 x) 3/2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) 2) (cbrt.f64 (-.f64 (+.f64 x 3) (sqrt.f64 (+.f64 2 x))))) (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 2 x) 3/2))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) 2) (cbrt.f64 (-.f64 -1 x))) (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) 2) (/.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) (cbrt.f64 (-.f64 -1 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) 2) (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))))) (cbrt.f64 (-.f64 -1 x)))
(/.f64 (*.f64 (+.f64 1 x) 1) (+.f64 (sqrt.f64 (+.f64 2 x)) -1))
(/.f64 (+.f64 x 1) (+.f64 (sqrt.f64 (+.f64 2 x)) -1))
(/.f64 (*.f64 (neg.f64 (-.f64 -1 x)) 1) (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))))
(/.f64 (+.f64 x 1) (+.f64 (sqrt.f64 (+.f64 2 x)) -1))
(/.f64 (*.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 2 x) 3/2))) 1) (neg.f64 (+.f64 3 (-.f64 x (sqrt.f64 (+.f64 2 x))))))
(*.f64 (+.f64 1 (pow.f64 (+.f64 2 x) 3/2)) (/.f64 1 (-.f64 (+.f64 x 3) (sqrt.f64 (+.f64 2 x)))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 2 x) 3/2)) (-.f64 (+.f64 x 3) (sqrt.f64 (+.f64 2 x))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 1 (pow.f64 (+.f64 2 x) 3/2))) (hypot.f64 1 (pow.f64 (+.f64 2 x) 1/4))) (sqrt.f64 (+.f64 3 (-.f64 x (sqrt.f64 (+.f64 2 x))))))
(/.f64 (hypot.f64 1 (pow.f64 (+.f64 2 x) 1/4)) (/.f64 (sqrt.f64 (-.f64 (+.f64 x 3) (sqrt.f64 (+.f64 2 x)))) (sqrt.f64 (+.f64 1 (pow.f64 (+.f64 2 x) 3/2)))))
(*.f64 (/.f64 (hypot.f64 1 (pow.f64 (+.f64 2 x) 1/4)) (sqrt.f64 (-.f64 (+.f64 x 3) (sqrt.f64 (+.f64 2 x))))) (hypot.f64 1 (pow.f64 (+.f64 2 x) 3/4)))
(/.f64 (*.f64 (sqrt.f64 (-.f64 -1 x)) (hypot.f64 1 (pow.f64 (+.f64 2 x) 1/4))) (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))))
(/.f64 (hypot.f64 1 (pow.f64 (+.f64 2 x) 1/4)) (/.f64 (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) (sqrt.f64 (-.f64 -1 x))))
(/.f64 (*.f64 (hypot.f64 1 (pow.f64 (+.f64 2 x) 1/4)) (sqrt.f64 (-.f64 -1 x))) (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 2 x) 3/2))) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) 2)) (cbrt.f64 (+.f64 3 (-.f64 x (sqrt.f64 (+.f64 2 x))))))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) 2) (/.f64 (cbrt.f64 (-.f64 (+.f64 x 3) (sqrt.f64 (+.f64 2 x)))) (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 2 x) 3/2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) 2) (cbrt.f64 (-.f64 (+.f64 x 3) (sqrt.f64 (+.f64 2 x))))) (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 2 x) 3/2))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 -1 x)) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) 2)) (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) 2) (/.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) (cbrt.f64 (-.f64 -1 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) 2) (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))))) (cbrt.f64 (-.f64 -1 x)))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 2 x) 2)) (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 2 x))))) (+.f64 3 x))
(/.f64 (-.f64 1 (pow.f64 (+.f64 2 x) 2)) (*.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))) (+.f64 x 3)))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 2 x) 3)) (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 2 x))))) (+.f64 1 (+.f64 (+.f64 2 x) (pow.f64 (+.f64 2 x) 2))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 2 x) 3)) (-.f64 1 (sqrt.f64 (+.f64 2 x)))) (+.f64 1 (+.f64 2 (+.f64 x (pow.f64 (+.f64 2 x) 2)))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 2 x) 3)) (+.f64 3 (+.f64 x (pow.f64 (+.f64 2 x) 2)))) (-.f64 1 (sqrt.f64 (+.f64 2 x))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (pow.f64 (+.f64 2 x) 3/2) 3)) (/.f64 1 (+.f64 3 (-.f64 x (sqrt.f64 (+.f64 2 x)))))) (+.f64 1 (-.f64 (pow.f64 (+.f64 2 x) 3) (pow.f64 (+.f64 2 x) 3/2))))
(/.f64 (+.f64 1 (pow.f64 (pow.f64 (+.f64 2 x) 3/2) 3)) (*.f64 (-.f64 (+.f64 x 3) (sqrt.f64 (+.f64 2 x))) (+.f64 1 (-.f64 (pow.f64 (+.f64 2 x) 3) (pow.f64 (+.f64 2 x) 3/2)))))
(/.f64 (+.f64 1 (pow.f64 (pow.f64 (+.f64 2 x) 3/2) 3)) (*.f64 (-.f64 (+.f64 x 3) (sqrt.f64 (+.f64 2 x))) (+.f64 (pow.f64 (+.f64 2 x) 3) (-.f64 1 (pow.f64 (+.f64 2 x) 3/2)))))
(/.f64 (+.f64 1 (pow.f64 (pow.f64 (+.f64 2 x) 3/2) 3)) (*.f64 (-.f64 (+.f64 x 3) (sqrt.f64 (+.f64 2 x))) (+.f64 (-.f64 1 (pow.f64 (+.f64 2 x) 3/2)) (pow.f64 (+.f64 2 x) 3))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 2 x) 3)) (/.f64 1 (+.f64 3 (-.f64 x (sqrt.f64 (+.f64 2 x)))))) (-.f64 1 (pow.f64 (+.f64 2 x) 3/2)))
(/.f64 (-.f64 1 (pow.f64 (+.f64 2 x) 3)) (*.f64 (-.f64 (+.f64 x 3) (sqrt.f64 (+.f64 2 x))) (-.f64 1 (pow.f64 (+.f64 2 x) 3/2))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 2 x) 3)) (-.f64 1 (pow.f64 (+.f64 2 x) 3/2))) (-.f64 (+.f64 x 3) (sqrt.f64 (+.f64 2 x))))
(/.f64 (/.f64 (-.f64 -1 x) 1) (-.f64 1 (sqrt.f64 (+.f64 2 x))))
(*.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) (-.f64 -1 x))
(/.f64 (-.f64 -1 x) (-.f64 1 (sqrt.f64 (+.f64 2 x))))
(/.f64 (/.f64 (+.f64 1 x) 1) (+.f64 (sqrt.f64 (+.f64 2 x)) -1))
(/.f64 (+.f64 x 1) (+.f64 (sqrt.f64 (+.f64 2 x)) -1))
(/.f64 (/.f64 (-.f64 -1 x) (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))))) (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))))
(*.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) (-.f64 -1 x))
(/.f64 (-.f64 -1 x) (-.f64 1 (sqrt.f64 (+.f64 2 x))))
(/.f64 (/.f64 (-.f64 -1 x) (*.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))))) (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))))
(*.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) (-.f64 -1 x))
(/.f64 (-.f64 -1 x) (-.f64 1 (sqrt.f64 (+.f64 2 x))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 2 x) 3/2)) 1) (+.f64 3 (-.f64 x (sqrt.f64 (+.f64 2 x)))))
(*.f64 (+.f64 1 (pow.f64 (+.f64 2 x) 3/2)) (/.f64 1 (-.f64 (+.f64 x 3) (sqrt.f64 (+.f64 2 x)))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 2 x) 3/2)) (-.f64 (+.f64 x 3) (sqrt.f64 (+.f64 2 x))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 2 x) 3/2)) (sqrt.f64 (+.f64 3 (-.f64 x (sqrt.f64 (+.f64 2 x)))))) (sqrt.f64 (+.f64 3 (-.f64 x (sqrt.f64 (+.f64 2 x))))))
(*.f64 (+.f64 1 (pow.f64 (+.f64 2 x) 3/2)) (/.f64 1 (-.f64 (+.f64 x 3) (sqrt.f64 (+.f64 2 x)))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 2 x) 3/2)) (-.f64 (+.f64 x 3) (sqrt.f64 (+.f64 2 x))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 2 x) 3/2)) (*.f64 (cbrt.f64 (+.f64 3 (-.f64 x (sqrt.f64 (+.f64 2 x))))) (cbrt.f64 (+.f64 3 (-.f64 x (sqrt.f64 (+.f64 2 x))))))) (cbrt.f64 (+.f64 3 (-.f64 x (sqrt.f64 (+.f64 2 x))))))
(*.f64 (+.f64 1 (pow.f64 (+.f64 2 x) 3/2)) (/.f64 1 (-.f64 (+.f64 x 3) (sqrt.f64 (+.f64 2 x)))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 2 x) 3/2)) (-.f64 (+.f64 x 3) (sqrt.f64 (+.f64 2 x))))
(/.f64 (/.f64 (+.f64 1 x) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) -1))) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) -1)))
(/.f64 (+.f64 x 1) (+.f64 (sqrt.f64 (+.f64 2 x)) -1))
(/.f64 (/.f64 (+.f64 1 x) (*.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) -1)) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) -1)))) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) -1)))
(/.f64 (+.f64 x 1) (+.f64 (sqrt.f64 (+.f64 2 x)) -1))
(/.f64 (/.f64 (+.f64 1 x) (+.f64 1 (pow.f64 (+.f64 2 x) 1/4))) (-.f64 (pow.f64 (+.f64 2 x) 1/4) 1))
(/.f64 (+.f64 x 1) (+.f64 (sqrt.f64 (+.f64 2 x)) -1))
(pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 1)
(+.f64 1 (sqrt.f64 (+.f64 2 x)))
(pow.f64 (hypot.f64 1 (pow.f64 (+.f64 2 x) 1/4)) 2)
(pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) 3)
(+.f64 1 (sqrt.f64 (+.f64 2 x)))
(pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3) 1/3)
(+.f64 1 (sqrt.f64 (+.f64 2 x)))
(sqrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2))
(fabs.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))))
(log.f64 (exp.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))))
(+.f64 1 (sqrt.f64 (+.f64 2 x)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))))))
(+.f64 1 (sqrt.f64 (+.f64 2 x)))
(cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3))
(+.f64 1 (sqrt.f64 (+.f64 2 x)))
(expm1.f64 (log1p.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))))
(+.f64 1 (sqrt.f64 (+.f64 2 x)))
(exp.f64 (log1p.f64 (sqrt.f64 (+.f64 2 x))))
(log1p.f64 (expm1.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))))
(+.f64 1 (sqrt.f64 (+.f64 2 x)))
(fma.f64 1 (sqrt.f64 (+.f64 2 x)) 1)
(+.f64 1 (sqrt.f64 (+.f64 2 x)))
(fma.f64 (pow.f64 (+.f64 2 x) 1/4) (pow.f64 (+.f64 2 x) 1/4) 1)
(+.f64 1 (sqrt.f64 (+.f64 2 x)))
(fma.f64 (cbrt.f64 (+.f64 2 x)) (cbrt.f64 (sqrt.f64 (+.f64 2 x))) 1)
(fma.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 x))) (cbrt.f64 (+.f64 2 x)) 1)

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 15 to 15 computations (0% saved)

series0.0ms (0%)

Counts
1 → 0

rewrite83.0ms (1.7%)

Algorithm
1×batch-egg-rewrite
Rules
1462×add-sqr-sqrt
1438×*-un-lft-identity
1356×add-cube-cbrt
1348×add-cbrt-cube
1338×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0811
11755
221835
Stop Event
1×node limit
Counts
1 → 44
Calls
Call 1
Inputs
(-.f64 (+.f64 (sqrt.f64 2) 1) 1)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (sqrt.f64 2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (sqrt.f64 2) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 (sqrt.f64 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 2 1/4) (pow.f64 2 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 2 1/4) (*.f64 (pow.f64 2 1/4) 1))))) (#(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 (cbrt.f64 2) (*.f64 (cbrt.f64 (sqrt.f64 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (sqrt.f64 2) 2) (sqrt.f64 2)) (/.f64 1 (+.f64 (sqrt.f64 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 (sqrt.f64 2) 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 (sqrt.f64 2) 1) 2) (+.f64 (sqrt.f64 2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (hypot.f64 1 (pow.f64 2 1/4)) 1) (-.f64 (hypot.f64 1 (pow.f64 2 1/4)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (-.f64 (sqrt.f64 2) 0))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (sqrt.f64 2) 2) (*.f64 (+.f64 (sqrt.f64 2) 2) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 (sqrt.f64 2) 1) 2) (+.f64 (sqrt.f64 2) 2)) (+.f64 (pow.f64 (+.f64 (sqrt.f64 2) 1) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (sqrt.f64 2) 2) (sqrt.f64 2)) (+.f64 (sqrt.f64 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (sqrt.f64 2) 2) (sqrt.f64 2)) (-.f64 (+.f64 (sqrt.f64 2) 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 2 3/2) (+.f64 2 (-.f64 0 (*.f64 (sqrt.f64 2) 0))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 (sqrt.f64 2) 1) 3) -1) (+.f64 (pow.f64 (+.f64 (sqrt.f64 2) 1) 2) (+.f64 (sqrt.f64 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 (sqrt.f64 2) 1) 3) -1) (+.f64 (pow.f64 (+.f64 (sqrt.f64 2) 1) 2) (-.f64 1 (*.f64 (+.f64 (sqrt.f64 2) 1) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (+.f64 (sqrt.f64 2) 2) (sqrt.f64 2))) (neg.f64 (+.f64 (sqrt.f64 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 (sqrt.f64 2) 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 (sqrt.f64 2) 1) 2) (+.f64 (sqrt.f64 2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 2 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 2 1/4) 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 (pow.f64 2 3/2) 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 (pow.f64 2 3/2))))) (#(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 exp.f64 (*.f64 (log.f64 (sqrt.f64 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (sqrt.f64 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 (sqrt.f64 2) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 2 1/4) (pow.f64 2 1/4) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 (pow.f64 2 1/4)) (hypot.f64 1 (pow.f64 2 1/4)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 2) (cbrt.f64 (sqrt.f64 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 2) 1)) 2) (cbrt.f64 (+.f64 (sqrt.f64 2) 1)) -1)))))

simplify80.0ms (1.6%)

Algorithm
1×egg-herbie
Rules
1150×distribute-rgt-out
968×associate-*r*
842×associate-*l*
706×distribute-lft-in
658×times-frac
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
099688
1227638
2895618
36734608
Stop Event
1×node limit
Counts
44 → 51
Calls
Call 1
Inputs
(+.f64 (sqrt.f64 2) 0)
(+.f64 1 (+.f64 (sqrt.f64 2) -1))
(+.f64 (+.f64 (sqrt.f64 2) 1) -1)
(+.f64 0 (sqrt.f64 2))
(+.f64 -1 (+.f64 (sqrt.f64 2) 1))
(*.f64 (sqrt.f64 2) 1)
(*.f64 1 (sqrt.f64 2))
(*.f64 (pow.f64 2 1/4) (pow.f64 2 1/4))
(*.f64 (pow.f64 2 1/4) (*.f64 (pow.f64 2 1/4) 1))
(*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 2))
(*.f64 (cbrt.f64 2) (cbrt.f64 (sqrt.f64 2)))
(*.f64 (cbrt.f64 2) (*.f64 (cbrt.f64 (sqrt.f64 2)) 1))
(*.f64 (*.f64 (+.f64 (sqrt.f64 2) 2) (sqrt.f64 2)) (/.f64 1 (+.f64 (sqrt.f64 2) 2)))
(*.f64 (+.f64 (pow.f64 (+.f64 (sqrt.f64 2) 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 (sqrt.f64 2) 1) 2) (+.f64 (sqrt.f64 2) 2))))
(*.f64 (+.f64 (hypot.f64 1 (pow.f64 2 1/4)) 1) (-.f64 (hypot.f64 1 (pow.f64 2 1/4)) 1))
(/.f64 2 (-.f64 (sqrt.f64 2) 0))
(/.f64 1 (/.f64 (+.f64 (sqrt.f64 2) 2) (*.f64 (+.f64 (sqrt.f64 2) 2) (sqrt.f64 2))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 (sqrt.f64 2) 1) 2) (+.f64 (sqrt.f64 2) 2)) (+.f64 (pow.f64 (+.f64 (sqrt.f64 2) 1) 3) -1)))
(/.f64 (*.f64 (+.f64 (sqrt.f64 2) 2) (sqrt.f64 2)) (+.f64 (sqrt.f64 2) 2))
(/.f64 (*.f64 (+.f64 (sqrt.f64 2) 2) (sqrt.f64 2)) (-.f64 (+.f64 (sqrt.f64 2) 1) -1))
(/.f64 (pow.f64 2 3/2) (+.f64 2 (-.f64 0 (*.f64 (sqrt.f64 2) 0))))
(/.f64 (+.f64 (pow.f64 (+.f64 (sqrt.f64 2) 1) 3) -1) (+.f64 (pow.f64 (+.f64 (sqrt.f64 2) 1) 2) (+.f64 (sqrt.f64 2) 2)))
(/.f64 (+.f64 (pow.f64 (+.f64 (sqrt.f64 2) 1) 3) -1) (+.f64 (pow.f64 (+.f64 (sqrt.f64 2) 1) 2) (-.f64 1 (*.f64 (+.f64 (sqrt.f64 2) 1) -1))))
(/.f64 (neg.f64 (*.f64 (+.f64 (sqrt.f64 2) 2) (sqrt.f64 2))) (neg.f64 (+.f64 (sqrt.f64 2) 2)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 (sqrt.f64 2) 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 (sqrt.f64 2) 1) 2) (+.f64 (sqrt.f64 2) 2))))
(pow.f64 2 1/2)
(pow.f64 (sqrt.f64 2) 1)
(pow.f64 (pow.f64 2 1/4) 2)
(pow.f64 (cbrt.f64 (sqrt.f64 2)) 3)
(pow.f64 (pow.f64 2 3/2) 1/3)
(sqrt.f64 2)
(log.f64 (exp.f64 (sqrt.f64 2)))
(cbrt.f64 (pow.f64 2 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 2)))
(exp.f64 (log.f64 (sqrt.f64 2)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 2)) 1))
(exp.f64 (*.f64 (log.f64 2) 1/2))
(log1p.f64 (expm1.f64 (sqrt.f64 2)))
(fma.f64 1 (sqrt.f64 2) 0)
(fma.f64 1 (+.f64 (sqrt.f64 2) 1) -1)
(fma.f64 (pow.f64 2 1/4) (pow.f64 2 1/4) 0)
(fma.f64 (hypot.f64 1 (pow.f64 2 1/4)) (hypot.f64 1 (pow.f64 2 1/4)) -1)
(fma.f64 (cbrt.f64 2) (cbrt.f64 (sqrt.f64 2)) 0)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 2) 1)) 2) (cbrt.f64 (+.f64 (sqrt.f64 2) 1)) -1)
Outputs
(+.f64 (sqrt.f64 2) 0)
(sqrt.f64 2)
(+.f64 1 (+.f64 (sqrt.f64 2) -1))
(sqrt.f64 2)
(+.f64 (+.f64 (sqrt.f64 2) 1) -1)
(sqrt.f64 2)
(+.f64 0 (sqrt.f64 2))
(sqrt.f64 2)
(+.f64 -1 (+.f64 (sqrt.f64 2) 1))
(sqrt.f64 2)
(*.f64 (sqrt.f64 2) 1)
(sqrt.f64 2)
(*.f64 1 (sqrt.f64 2))
(sqrt.f64 2)
(*.f64 (pow.f64 2 1/4) (pow.f64 2 1/4))
(sqrt.f64 2)
(*.f64 (pow.f64 2 1/4) (*.f64 (pow.f64 2 1/4) 1))
(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 (cbrt.f64 2) (*.f64 (cbrt.f64 (sqrt.f64 2)) 1))
(*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 2))
(*.f64 (*.f64 (+.f64 (sqrt.f64 2) 2) (sqrt.f64 2)) (/.f64 1 (+.f64 (sqrt.f64 2) 2)))
(sqrt.f64 2)
(*.f64 (+.f64 (pow.f64 (+.f64 (sqrt.f64 2) 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 (sqrt.f64 2) 1) 2) (+.f64 (sqrt.f64 2) 2))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 (sqrt.f64 2) 1) 3)) (/.f64 1 (+.f64 (+.f64 2 (sqrt.f64 2)) (pow.f64 (+.f64 (sqrt.f64 2) 1) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (sqrt.f64 2) 1) 3)) (+.f64 2 (+.f64 (sqrt.f64 2) (pow.f64 (+.f64 (sqrt.f64 2) 1) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (sqrt.f64 2) 1) 3)) (+.f64 (+.f64 2 (pow.f64 2 3/2)) (+.f64 (sqrt.f64 2) 3)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (sqrt.f64 2) 1) 3)) (+.f64 3 (*.f64 (sqrt.f64 2) (+.f64 (sqrt.f64 2) 3))))
(*.f64 (+.f64 (hypot.f64 1 (pow.f64 2 1/4)) 1) (-.f64 (hypot.f64 1 (pow.f64 2 1/4)) 1))
(*.f64 (+.f64 1 (hypot.f64 1 (pow.f64 2 1/4))) (+.f64 (hypot.f64 1 (pow.f64 2 1/4)) -1))
(fma.f64 (hypot.f64 1 (pow.f64 2 1/4)) (hypot.f64 1 (pow.f64 2 1/4)) -1)
(/.f64 2 (-.f64 (sqrt.f64 2) 0))
(/.f64 2 (sqrt.f64 2))
(/.f64 1 (/.f64 (+.f64 (sqrt.f64 2) 2) (*.f64 (+.f64 (sqrt.f64 2) 2) (sqrt.f64 2))))
(sqrt.f64 2)
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 (sqrt.f64 2) 1) 2) (+.f64 (sqrt.f64 2) 2)) (+.f64 (pow.f64 (+.f64 (sqrt.f64 2) 1) 3) -1)))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 (sqrt.f64 2) 1) 3)) (/.f64 1 (+.f64 (+.f64 2 (sqrt.f64 2)) (pow.f64 (+.f64 (sqrt.f64 2) 1) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (sqrt.f64 2) 1) 3)) (+.f64 2 (+.f64 (sqrt.f64 2) (pow.f64 (+.f64 (sqrt.f64 2) 1) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (sqrt.f64 2) 1) 3)) (+.f64 (+.f64 2 (pow.f64 2 3/2)) (+.f64 (sqrt.f64 2) 3)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (sqrt.f64 2) 1) 3)) (+.f64 3 (*.f64 (sqrt.f64 2) (+.f64 (sqrt.f64 2) 3))))
(/.f64 (*.f64 (+.f64 (sqrt.f64 2) 2) (sqrt.f64 2)) (+.f64 (sqrt.f64 2) 2))
(sqrt.f64 2)
(/.f64 (*.f64 (+.f64 (sqrt.f64 2) 2) (sqrt.f64 2)) (-.f64 (+.f64 (sqrt.f64 2) 1) -1))
(sqrt.f64 2)
(/.f64 (pow.f64 2 3/2) (+.f64 2 (-.f64 0 (*.f64 (sqrt.f64 2) 0))))
(/.f64 (pow.f64 2 3/2) 2)
(/.f64 (+.f64 (pow.f64 (+.f64 (sqrt.f64 2) 1) 3) -1) (+.f64 (pow.f64 (+.f64 (sqrt.f64 2) 1) 2) (+.f64 (sqrt.f64 2) 2)))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 (sqrt.f64 2) 1) 3)) (/.f64 1 (+.f64 (+.f64 2 (sqrt.f64 2)) (pow.f64 (+.f64 (sqrt.f64 2) 1) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (sqrt.f64 2) 1) 3)) (+.f64 2 (+.f64 (sqrt.f64 2) (pow.f64 (+.f64 (sqrt.f64 2) 1) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (sqrt.f64 2) 1) 3)) (+.f64 (+.f64 2 (pow.f64 2 3/2)) (+.f64 (sqrt.f64 2) 3)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (sqrt.f64 2) 1) 3)) (+.f64 3 (*.f64 (sqrt.f64 2) (+.f64 (sqrt.f64 2) 3))))
(/.f64 (+.f64 (pow.f64 (+.f64 (sqrt.f64 2) 1) 3) -1) (+.f64 (pow.f64 (+.f64 (sqrt.f64 2) 1) 2) (-.f64 1 (*.f64 (+.f64 (sqrt.f64 2) 1) -1))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 (sqrt.f64 2) 1) 3)) (/.f64 1 (+.f64 (+.f64 2 (sqrt.f64 2)) (pow.f64 (+.f64 (sqrt.f64 2) 1) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (sqrt.f64 2) 1) 3)) (+.f64 2 (+.f64 (sqrt.f64 2) (pow.f64 (+.f64 (sqrt.f64 2) 1) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (sqrt.f64 2) 1) 3)) (+.f64 (+.f64 2 (pow.f64 2 3/2)) (+.f64 (sqrt.f64 2) 3)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (sqrt.f64 2) 1) 3)) (+.f64 3 (*.f64 (sqrt.f64 2) (+.f64 (sqrt.f64 2) 3))))
(/.f64 (neg.f64 (*.f64 (+.f64 (sqrt.f64 2) 2) (sqrt.f64 2))) (neg.f64 (+.f64 (sqrt.f64 2) 2)))
(sqrt.f64 2)
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 (sqrt.f64 2) 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 (sqrt.f64 2) 1) 2) (+.f64 (sqrt.f64 2) 2))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 (sqrt.f64 2) 1) 3)) (/.f64 1 (+.f64 (+.f64 2 (sqrt.f64 2)) (pow.f64 (+.f64 (sqrt.f64 2) 1) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (sqrt.f64 2) 1) 3)) (+.f64 2 (+.f64 (sqrt.f64 2) (pow.f64 (+.f64 (sqrt.f64 2) 1) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (sqrt.f64 2) 1) 3)) (+.f64 (+.f64 2 (pow.f64 2 3/2)) (+.f64 (sqrt.f64 2) 3)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (sqrt.f64 2) 1) 3)) (+.f64 3 (*.f64 (sqrt.f64 2) (+.f64 (sqrt.f64 2) 3))))
(pow.f64 2 1/2)
(sqrt.f64 2)
(pow.f64 (sqrt.f64 2) 1)
(sqrt.f64 2)
(pow.f64 (pow.f64 2 1/4) 2)
(sqrt.f64 2)
(pow.f64 (cbrt.f64 (sqrt.f64 2)) 3)
(sqrt.f64 2)
(pow.f64 (pow.f64 2 3/2) 1/3)
(cbrt.f64 (pow.f64 2 3/2))
(sqrt.f64 2)
(log.f64 (exp.f64 (sqrt.f64 2)))
(sqrt.f64 2)
(cbrt.f64 (pow.f64 2 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 2)))
(sqrt.f64 2)
(exp.f64 (log.f64 (sqrt.f64 2)))
(sqrt.f64 2)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 2)) 1))
(sqrt.f64 2)
(exp.f64 (*.f64 (log.f64 2) 1/2))
(sqrt.f64 2)
(log1p.f64 (expm1.f64 (sqrt.f64 2)))
(sqrt.f64 2)
(fma.f64 1 (sqrt.f64 2) 0)
(sqrt.f64 2)
(fma.f64 1 (+.f64 (sqrt.f64 2) 1) -1)
(sqrt.f64 2)
(fma.f64 (pow.f64 2 1/4) (pow.f64 2 1/4) 0)
(sqrt.f64 2)
(fma.f64 (hypot.f64 1 (pow.f64 2 1/4)) (hypot.f64 1 (pow.f64 2 1/4)) -1)
(*.f64 (+.f64 1 (hypot.f64 1 (pow.f64 2 1/4))) (+.f64 (hypot.f64 1 (pow.f64 2 1/4)) -1))
(fma.f64 (cbrt.f64 2) (cbrt.f64 (sqrt.f64 2)) 0)
(*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 2) 1)) 2) (cbrt.f64 (+.f64 (sqrt.f64 2) 1)) -1)
(sqrt.f64 2)

eval272.0ms (5.4%)

Compiler

Compiled 8923 to 7828 computations (12.3% saved)

prune113.0ms (2.2%)

Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New4072409
Fresh000
Picked101
Done044
Total4086414
Error
0b
Counts
414 → 6
Alt Table
Click to see full alt table
StatusErrorProgram
▶19.0b
(/.f64 2 (sqrt.f64 2))
▶24.1b
(-.f64 (/.f64 (-.f64 -1 x) (-.f64 1 (sqrt.f64 (+.f64 2 x)))) 1)
✓23.5b
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 1)
✓22.9b
(sqrt.f64 (+.f64 2 x))
✓0.0b
(sqrt.f64 (+.f64 1 (exp.f64 x)))
✓18.4b
(sqrt.f64 2)
Compiler

Compiled 41 to 36 computations (12.2% saved)

localize42.0ms (0.8%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(sqrt.f64 (+.f64 2 x))
✓0.0b
(/.f64 (-.f64 -1 x) (-.f64 1 (sqrt.f64 (+.f64 2 x))))
✓0.6b
(-.f64 (/.f64 (-.f64 -1 x) (-.f64 1 (sqrt.f64 (+.f64 2 x)))) 1)
✓1.0b
(-.f64 1 (sqrt.f64 (+.f64 2 x)))
Compiler

Compiled 43 to 34 computations (20.9% saved)

series9.0ms (0.2%)

Counts
3 → 12
Calls

9 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
(-.f64 (/.f64 (-.f64 -1 x) (-.f64 1 (sqrt.f64 (+.f64 2 x)))) 1)
2.0ms
x
@inf
(-.f64 (/.f64 (-.f64 -1 x) (-.f64 1 (sqrt.f64 (+.f64 2 x)))) 1)
1.0ms
x
@0
(-.f64 (/.f64 (-.f64 -1 x) (-.f64 1 (sqrt.f64 (+.f64 2 x)))) 1)
1.0ms
x
@-inf
(/.f64 (-.f64 -1 x) (-.f64 1 (sqrt.f64 (+.f64 2 x))))
1.0ms
x
@inf
(/.f64 (-.f64 -1 x) (-.f64 1 (sqrt.f64 (+.f64 2 x))))

rewrite114.0ms (2.3%)

Algorithm
1×batch-egg-rewrite
Rules
1430×associate-/l*
1312×associate-/r/
786×associate-/l/
306×add-sqr-sqrt
294×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01381
129845
2416045
Stop Event
1×node limit
Counts
3 → 249
Calls
Call 1
Inputs
(-.f64 1 (sqrt.f64 (+.f64 2 x)))
(-.f64 (/.f64 (-.f64 -1 x) (-.f64 1 (sqrt.f64 (+.f64 2 x)))) 1)
(/.f64 (-.f64 -1 x) (-.f64 1 (sqrt.f64 (+.f64 2 x))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (neg.f64 (sqrt.f64 (+.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (neg.f64 (sqrt.f64 (+.f64 2 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (sqrt.f64 (+.f64 2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (neg.f64 (sqrt.f64 (+.f64 2 x))) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (/.f64 1 (+.f64 -1 (sqrt.f64 (+.f64 2 x))))) (-.f64 (/.f64 x (-.f64 1 (sqrt.f64 (+.f64 2 x)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (/.f64 1 (+.f64 -1 (sqrt.f64 (+.f64 2 x))))) (+.f64 1 (/.f64 x (-.f64 1 (sqrt.f64 (+.f64 2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (/.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) (+.f64 2 (sqrt.f64 (+.f64 2 x))))) (/.f64 1 (+.f64 2 (sqrt.f64 (+.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (/.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3) (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) (+.f64 2 (sqrt.f64 (+.f64 2 x)))))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) (+.f64 2 (sqrt.f64 (+.f64 2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 1 (sqrt.f64 (+.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 -1 x) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) (pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) 2) (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) (-.f64 -1 x))))) (#(struct:change 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(#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (+.f64 2 (sqrt.f64 (+.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (sqrt.f64 (+.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (sqrt.f64 (+.f64 2 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))))))))

simplify136.0ms (2.7%)

Algorithm
1×egg-herbie
Rules
1578×associate-*r*
1324×associate-/r*
1170×associate-*l*
910×associate-/l*
800×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
070114749
1233714461
Stop Event
1×node limit
Counts
261 → 417
Calls
Call 1
Inputs
(-.f64 1 (sqrt.f64 2))
(-.f64 (+.f64 1 (*.f64 -1/2 (/.f64 x (sqrt.f64 2)))) (sqrt.f64 2))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1/2 (/.f64 x (sqrt.f64 2))) (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 2) 3))))) (sqrt.f64 2))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1/2 (/.f64 x (sqrt.f64 2))) (+.f64 (*.f64 -1/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 5))) (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 2) 3)))))) (sqrt.f64 2))
(*.f64 -1 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) 1))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))))) x)) (*.f64 -1 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) 1)))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))))) x)) (+.f64 (*.f64 -1 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) 1)) (*.f64 (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))))) (*.f64 (sqrt.f64 2) (-.f64 1 (sqrt.f64 2))))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))))) (pow.f64 x 2))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))))) x)) (+.f64 (*.f64 -1 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) 1)) (+.f64 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))))) (*.f64 (sqrt.f64 2) (-.f64 1 (sqrt.f64 2))))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))))) (pow.f64 x 2)) (*.f64 -1 (*.f64 (-.f64 (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 2) 5) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2)))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))))) (*.f64 (sqrt.f64 2) (-.f64 1 (sqrt.f64 2))))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))))) (*.f64 (sqrt.f64 2) (-.f64 1 (sqrt.f64 2))))) (*.f64 1/8 (/.f64 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))))) (*.f64 (pow.f64 (sqrt.f64 2) 3) (-.f64 1 (sqrt.f64 2))))))) (pow.f64 x 3))))))
(/.f64 -1 (-.f64 1 (sqrt.f64 2)))
(-.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))))) x)) (/.f64 1 (-.f64 1 (sqrt.f64 2))))
(-.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))))) x)) (*.f64 (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))))) (*.f64 (sqrt.f64 2) (-.f64 1 (sqrt.f64 2))))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))))) (pow.f64 x 2))) (/.f64 1 (-.f64 1 (sqrt.f64 2))))
(-.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))))) x)) (+.f64 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))))) (*.f64 (sqrt.f64 2) (-.f64 1 (sqrt.f64 2))))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))))) (pow.f64 x 2)) (*.f64 -1 (*.f64 (-.f64 (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 2) 5) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2)))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))))) (*.f64 (sqrt.f64 2) (-.f64 1 (sqrt.f64 2))))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))))) (*.f64 (sqrt.f64 2) (-.f64 1 (sqrt.f64 2))))) (*.f64 1/8 (/.f64 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))))) (*.f64 (pow.f64 (sqrt.f64 2) 3) (-.f64 1 (sqrt.f64 2))))))) (pow.f64 x 3))))) (/.f64 1 (-.f64 1 (sqrt.f64 2))))
(+.f64 1 (neg.f64 (sqrt.f64 (+.f64 2 x))))
(+.f64 1 (*.f64 (neg.f64 (sqrt.f64 (+.f64 2 x))) 1))
(+.f64 (neg.f64 (sqrt.f64 (+.f64 2 x))) 1)
(+.f64 (*.f64 (neg.f64 (sqrt.f64 (+.f64 2 x))) 1) 1)
(+.f64 (-.f64 1 (/.f64 1 (+.f64 -1 (sqrt.f64 (+.f64 2 x))))) (-.f64 (/.f64 x (-.f64 1 (sqrt.f64 (+.f64 2 x)))) -1))
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(/.f64 (*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2))) (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2)))) (/.f64 (+.f64 2 (sqrt.f64 (+.f64 2 x))) (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3))) (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3)))) (/.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) (+.f64 2 (sqrt.f64 (+.f64 2 x)))) (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3))) (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3)))) (/.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) (-.f64 1 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) -1))) (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3)) 1) (*.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) (+.f64 2 (sqrt.f64 (+.f64 2 x)))) (+.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3))))
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3)) 1) (*.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) (-.f64 1 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) -1))) (+.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3))))
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2)) 1) (*.f64 (+.f64 2 (sqrt.f64 (+.f64 2 x))) (+.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3) 3) 1) (*.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) (+.f64 2 (sqrt.f64 (+.f64 2 x)))) (+.f64 (*.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3)) (+.f64 1 (*.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3) 1)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3) 3) 1) (*.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) (-.f64 1 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) -1))) (+.f64 (*.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3)) (+.f64 1 (*.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3) 1)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) 3) 1) (*.f64 (+.f64 2 (sqrt.f64 (+.f64 2 x))) (+.f64 (+.f64 (*.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2)) 1) (*.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) 1))))
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2))) (neg.f64 (+.f64 2 (sqrt.f64 (+.f64 2 x)))))
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) (+.f64 2 (sqrt.f64 (+.f64 2 x))))))
(pow.f64 (+.f64 2 x) 1/2)
(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 (+.f64 2 x) 3/2) 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 (+.f64 2 x) 3/2))
(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 (log.f64 (sqrt.f64 (+.f64 2 x))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 2 x))))
(fma.f64 1 (+.f64 1 (sqrt.f64 (+.f64 2 x))) -1)
(fma.f64 (-.f64 -1 x) (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) -1)
(fma.f64 (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) 2) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) -1)
(+.f64 1 (sqrt.f64 (+.f64 2 x)))
(+.f64 (sqrt.f64 (+.f64 2 x)) 1)
(+.f64 -1 (+.f64 2 (sqrt.f64 (+.f64 2 x))))
(+.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 0)
(+.f64 0 (+.f64 1 (sqrt.f64 (+.f64 2 x))))
(+.f64 (+.f64 2 (sqrt.f64 (+.f64 2 x))) -1)
(+.f64 (/.f64 1 (+.f64 -1 (sqrt.f64 (+.f64 2 x)))) (neg.f64 (/.f64 x (-.f64 1 (sqrt.f64 (+.f64 2 x))))))
(+.f64 (neg.f64 (/.f64 x (-.f64 1 (sqrt.f64 (+.f64 2 x))))) (/.f64 1 (+.f64 -1 (sqrt.f64 (+.f64 2 x)))))
(-.f64 1 (neg.f64 (sqrt.f64 (+.f64 2 x))))
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 0)
(-.f64 (+.f64 2 (sqrt.f64 (+.f64 2 x))) 1)
(-.f64 (/.f64 1 (+.f64 -1 (sqrt.f64 (+.f64 2 x)))) (/.f64 x (-.f64 1 (sqrt.f64 (+.f64 2 x)))))
(-.f64 (/.f64 1 (+.f64 -1 (sqrt.f64 (+.f64 2 x)))) (-.f64 (-.f64 (/.f64 x (-.f64 1 (sqrt.f64 (+.f64 2 x)))) -1) 1))
(-.f64 (/.f64 1 (+.f64 -1 (sqrt.f64 (+.f64 2 x)))) (-.f64 (+.f64 1 (/.f64 x (-.f64 1 (sqrt.f64 (+.f64 2 x))))) 1))
(-.f64 (/.f64 1 (+.f64 -1 (sqrt.f64 (+.f64 2 x)))) (+.f64 (-.f64 (/.f64 x (-.f64 1 (sqrt.f64 (+.f64 2 x)))) 1) 1))
(-.f64 (/.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) (+.f64 2 (sqrt.f64 (+.f64 2 x)))) (-.f64 (/.f64 1 (+.f64 2 (sqrt.f64 (+.f64 2 x)))) 1))
(-.f64 (/.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3) (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) (+.f64 2 (sqrt.f64 (+.f64 2 x))))) (-.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) (+.f64 2 (sqrt.f64 (+.f64 2 x))))) 1))
(-.f64 (+.f64 1 (/.f64 1 (+.f64 -1 (sqrt.f64 (+.f64 2 x))))) (-.f64 (/.f64 x (-.f64 1 (sqrt.f64 (+.f64 2 x)))) -1))
(-.f64 (+.f64 1 (/.f64 1 (+.f64 -1 (sqrt.f64 (+.f64 2 x))))) (+.f64 1 (/.f64 x (-.f64 1 (sqrt.f64 (+.f64 2 x))))))
(-.f64 (+.f64 1 (/.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) (+.f64 2 (sqrt.f64 (+.f64 2 x))))) (/.f64 1 (+.f64 2 (sqrt.f64 (+.f64 2 x)))))
(-.f64 (+.f64 1 (/.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3) (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) (+.f64 2 (sqrt.f64 (+.f64 2 x)))))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) (+.f64 2 (sqrt.f64 (+.f64 2 x))))))
(*.f64 1 (+.f64 1 (sqrt.f64 (+.f64 2 x))))
(*.f64 (-.f64 -1 x) (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 2 x)))))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 1)
(*.f64 (sqrt.f64 (-.f64 -1 x)) (*.f64 (sqrt.f64 (-.f64 -1 x)) (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 2 x))))))
(*.f64 (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))))
(*.f64 (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) (*.f64 (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) 1))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2) (*.f64 (cbrt.f64 (-.f64 -1 x)) (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 2 x))))))
(*.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) 2) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) 2) (*.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) 1))
(*.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) (-.f64 -1 x))
(*.f64 (/.f64 1 (+.f64 -1 (sqrt.f64 (+.f64 2 x)))) (+.f64 1 x))
(*.f64 (+.f64 1 x) (/.f64 1 (+.f64 -1 (sqrt.f64 (+.f64 2 x)))))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))))) (/.f64 (-.f64 -1 x) (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) 2)) (/.f64 (-.f64 -1 x) (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))))))
(*.f64 (/.f64 (-.f64 -1 x) (-.f64 -1 x)) (+.f64 1 (sqrt.f64 (+.f64 2 x))))
(*.f64 (/.f64 (-.f64 -1 x) (-.f64 1 (pow.f64 (+.f64 2 x) 3/2))) (+.f64 (sqrt.f64 (+.f64 2 x)) (+.f64 3 x)))
(*.f64 (/.f64 1 (-.f64 -1 x)) (*.f64 (-.f64 -1 x) (+.f64 1 (sqrt.f64 (+.f64 2 x)))))
(*.f64 (/.f64 1 (-.f64 1 (pow.f64 (+.f64 2 x) 3/2))) (*.f64 (-.f64 -1 x) (+.f64 (sqrt.f64 (+.f64 2 x)) (+.f64 3 x))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 -1 x)) 1) (/.f64 (sqrt.f64 (-.f64 -1 x)) (-.f64 1 (sqrt.f64 (+.f64 2 x)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 -1 x)) (-.f64 1 (sqrt.f64 (+.f64 2 x)))) (sqrt.f64 (-.f64 -1 x)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 -1 x)) (pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) 2)) (/.f64 (sqrt.f64 (-.f64 -1 x)) (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2) 1) (/.f64 (cbrt.f64 (-.f64 -1 x)) (-.f64 1 (sqrt.f64 (+.f64 2 x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2) (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))))) (/.f64 (cbrt.f64 (-.f64 -1 x)) (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2) (pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) 2)) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2) (-.f64 1 (sqrt.f64 (+.f64 2 x)))) (cbrt.f64 (-.f64 -1 x)))
(*.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)) (+.f64 1 (sqrt.f64 (+.f64 2 x))))
(*.f64 (/.f64 1 (/.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))) (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2))) (cbrt.f64 (-.f64 -1 x)))
(*.f64 (/.f64 (-.f64 -1 x) (+.f64 1 x)) (neg.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))))
(*.f64 (/.f64 (-.f64 -1 x) (neg.f64 (-.f64 1 (pow.f64 (+.f64 2 x) 3/2)))) (neg.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) (+.f64 3 x))))
(*.f64 (/.f64 (-.f64 -1 x) (-.f64 1 (*.f64 (neg.f64 (sqrt.f64 (+.f64 2 x))) (neg.f64 (sqrt.f64 (+.f64 2 x)))))) (+.f64 1 (sqrt.f64 (+.f64 2 x))))
(*.f64 (/.f64 (-.f64 -1 x) (+.f64 1 (pow.f64 (neg.f64 (sqrt.f64 (+.f64 2 x))) 3))) (+.f64 1 (-.f64 (*.f64 (neg.f64 (sqrt.f64 (+.f64 2 x))) (neg.f64 (sqrt.f64 (+.f64 2 x)))) (neg.f64 (sqrt.f64 (+.f64 2 x))))))
(*.f64 (/.f64 (+.f64 1 x) (neg.f64 (-.f64 1 (pow.f64 (+.f64 2 x) 3/2)))) (+.f64 (sqrt.f64 (+.f64 2 x)) (+.f64 3 x)))
(*.f64 (/.f64 (*.f64 (+.f64 1 x) 1) (+.f64 1 x)) (+.f64 1 (sqrt.f64 (+.f64 2 x))))
(*.f64 (/.f64 (*.f64 (+.f64 1 x) 1) (neg.f64 (-.f64 1 (pow.f64 (+.f64 2 x) 3/2)))) (+.f64 (sqrt.f64 (+.f64 2 x)) (+.f64 3 x)))
(*.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 x x)) (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 2 x))))) (-.f64 1 (*.f64 x x))) (-.f64 -1 x))
(*.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 x x)) (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 2 x))))) (+.f64 -1 (pow.f64 x 3))) (+.f64 1 (-.f64 (*.f64 x x) (neg.f64 x))))
(*.f64 (/.f64 (*.f64 (-.f64 -1 (pow.f64 x 3)) (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 2 x))))) (-.f64 1 (*.f64 (*.f64 x (+.f64 x -1)) (*.f64 x (+.f64 x -1))))) (-.f64 1 (*.f64 x (+.f64 x -1))))
(*.f64 (/.f64 (*.f64 (-.f64 -1 (pow.f64 x 3)) (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 2 x))))) (+.f64 1 (pow.f64 (*.f64 x (+.f64 x -1)) 3))) (-.f64 (+.f64 1 (*.f64 (*.f64 x (+.f64 x -1)) (*.f64 x (+.f64 x -1)))) (*.f64 x (+.f64 x -1))))
(*.f64 (/.f64 (/.f64 (-.f64 -1 x) (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))))) (sqrt.f64 (-.f64 -1 x))) (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))))
(*.f64 (/.f64 (/.f64 (-.f64 -1 x) (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))))) (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 2 x) 3/2)))) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) (+.f64 3 x))))
(*.f64 (/.f64 (/.f64 (-.f64 -1 x) (pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) 2)) (cbrt.f64 (-.f64 -1 x))) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))))
(*.f64 (/.f64 (/.f64 (-.f64 -1 x) (pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) 2)) (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 2 x) 3/2)))) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) (+.f64 3 x))))
(*.f64 (/.f64 (-.f64 (+.f64 -1 (sqrt.f64 (+.f64 2 x))) (*.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))) x)) (pow.f64 (-.f64 -1 x) 2)) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2))
(*.f64 (/.f64 (-.f64 (+.f64 -1 (sqrt.f64 (+.f64 2 x))) (*.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))) x)) (*.f64 (-.f64 1 (pow.f64 (+.f64 2 x) 3/2)) (-.f64 1 (pow.f64 (+.f64 2 x) 3/2)))) (*.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) (+.f64 3 x)) (+.f64 (sqrt.f64 (+.f64 2 x)) (+.f64 3 x))))
(*.f64 (/.f64 (-.f64 (+.f64 -1 (sqrt.f64 (+.f64 2 x))) (*.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))) x)) (*.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))) (-.f64 -1 x))) (+.f64 1 (sqrt.f64 (+.f64 2 x))))
(*.f64 (/.f64 (-.f64 (+.f64 -1 (sqrt.f64 (+.f64 2 x))) (*.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))) x)) (*.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))) (-.f64 1 (pow.f64 (+.f64 2 x) 3/2)))) (+.f64 (sqrt.f64 (+.f64 2 x)) (+.f64 3 x)))
(*.f64 (/.f64 (-.f64 (+.f64 -1 (sqrt.f64 (+.f64 2 x))) (*.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))) x)) (*.f64 (-.f64 -1 x) (-.f64 1 (sqrt.f64 (+.f64 2 x))))) (+.f64 1 (sqrt.f64 (+.f64 2 x))))
(*.f64 (/.f64 (-.f64 (+.f64 -1 (sqrt.f64 (+.f64 2 x))) (*.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))) x)) (*.f64 (-.f64 1 (pow.f64 (+.f64 2 x) 3/2)) (-.f64 1 (sqrt.f64 (+.f64 2 x))))) (+.f64 (sqrt.f64 (+.f64 2 x)) (+.f64 3 x)))
(*.f64 (/.f64 (-.f64 (+.f64 -1 (sqrt.f64 (+.f64 2 x))) (*.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))) x)) (*.f64 (-.f64 -1 x) (-.f64 1 (pow.f64 (+.f64 2 x) 3/2)))) (*.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) (+.f64 (sqrt.f64 (+.f64 2 x)) (+.f64 3 x))))
(*.f64 (/.f64 (-.f64 (+.f64 -1 (sqrt.f64 (+.f64 2 x))) (*.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))) x)) (*.f64 (-.f64 1 (pow.f64 (+.f64 2 x) 3/2)) (-.f64 -1 x))) (*.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) (+.f64 3 x)) (+.f64 1 (sqrt.f64 (+.f64 2 x)))))
(pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 1)
(pow.f64 (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) 2)
(pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) 3)
(pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) -1)
(pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3) 1/3)
(neg.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 (sqrt.f64 (+.f64 2 x)))))
(sqrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2))
(log.f64 (exp.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))))))
(cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3))
(expm1.f64 (log.f64 (+.f64 2 (sqrt.f64 (+.f64 2 x)))))
(exp.f64 (log1p.f64 (sqrt.f64 (+.f64 2 x))))
(exp.f64 (*.f64 (log1p.f64 (sqrt.f64 (+.f64 2 x))) 1))
(log1p.f64 (expm1.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))))
Outputs
(-.f64 1 (sqrt.f64 2))
(-.f64 (+.f64 1 (*.f64 -1/2 (/.f64 x (sqrt.f64 2)))) (sqrt.f64 2))
(+.f64 1 (-.f64 (*.f64 -1/2 (/.f64 x (sqrt.f64 2))) (sqrt.f64 2)))
(+.f64 1 (-.f64 (/.f64 (*.f64 -1/2 x) (sqrt.f64 2)) (sqrt.f64 2)))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1/2 (/.f64 x (sqrt.f64 2))) (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 2) 3))))) (sqrt.f64 2))
(-.f64 (+.f64 1 (fma.f64 -1/2 (/.f64 x (sqrt.f64 2)) (*.f64 1/8 (/.f64 (*.f64 x x) (pow.f64 (sqrt.f64 2) 3))))) (sqrt.f64 2))
(+.f64 (fma.f64 -1/2 (/.f64 x (sqrt.f64 2)) (*.f64 1/8 (/.f64 x (/.f64 (pow.f64 (sqrt.f64 2) 3) x)))) (-.f64 1 (sqrt.f64 2)))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1/2 (/.f64 x (sqrt.f64 2))) (+.f64 (*.f64 -1/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 5))) (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 2) 3)))))) (sqrt.f64 2))
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(*.f64 (/.f64 (-.f64 (+.f64 -1 (sqrt.f64 (+.f64 2 x))) (*.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))) x)) (*.f64 (-.f64 1 (pow.f64 (+.f64 2 x) 3/2)) (-.f64 1 (pow.f64 (+.f64 2 x) 3/2)))) (*.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) (+.f64 3 x)) (+.f64 (sqrt.f64 (+.f64 2 x)) (+.f64 3 x))))
(*.f64 (/.f64 (-.f64 (+.f64 -1 (sqrt.f64 (+.f64 2 x))) (*.f64 x (-.f64 1 (sqrt.f64 (+.f64 2 x))))) (*.f64 (-.f64 1 (pow.f64 (+.f64 2 x) 3/2)) (-.f64 1 (pow.f64 (+.f64 2 x) 3/2)))) (*.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) (+.f64 x 3)) (+.f64 (sqrt.f64 (+.f64 2 x)) (+.f64 x 3))))
(/.f64 (+.f64 -1 (-.f64 (sqrt.f64 (+.f64 2 x)) (*.f64 x (-.f64 1 (sqrt.f64 (+.f64 2 x)))))) (/.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 2 x) 3/2)) (-.f64 1 (pow.f64 (+.f64 2 x) 3/2))) (*.f64 (+.f64 3 (+.f64 x (sqrt.f64 (+.f64 2 x)))) (+.f64 3 (+.f64 x (sqrt.f64 (+.f64 2 x)))))))
(*.f64 (/.f64 (-.f64 (+.f64 -1 (sqrt.f64 (+.f64 2 x))) (*.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))) x)) (*.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))) (-.f64 -1 x))) (+.f64 1 (sqrt.f64 (+.f64 2 x))))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) (/.f64 (-.f64 (+.f64 -1 (sqrt.f64 (+.f64 2 x))) (*.f64 x (-.f64 1 (sqrt.f64 (+.f64 2 x))))) (*.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))) (-.f64 -1 x))))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) (/.f64 (+.f64 -1 (-.f64 (sqrt.f64 (+.f64 2 x)) (*.f64 x (-.f64 1 (sqrt.f64 (+.f64 2 x)))))) (*.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))) (-.f64 -1 x))))
(*.f64 (/.f64 (-.f64 (+.f64 -1 (sqrt.f64 (+.f64 2 x))) (*.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))) x)) (*.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))) (-.f64 1 (pow.f64 (+.f64 2 x) 3/2)))) (+.f64 (sqrt.f64 (+.f64 2 x)) (+.f64 3 x)))
(/.f64 (*.f64 (-.f64 (+.f64 -1 (sqrt.f64 (+.f64 2 x))) (*.f64 x (-.f64 1 (sqrt.f64 (+.f64 2 x))))) (+.f64 (sqrt.f64 (+.f64 2 x)) (+.f64 x 3))) (*.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))) (-.f64 1 (pow.f64 (+.f64 2 x) 3/2))))
(/.f64 (*.f64 (+.f64 3 (+.f64 x (sqrt.f64 (+.f64 2 x)))) (+.f64 -1 (-.f64 (sqrt.f64 (+.f64 2 x)) (*.f64 x (-.f64 1 (sqrt.f64 (+.f64 2 x))))))) (*.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))) (-.f64 1 (pow.f64 (+.f64 2 x) 3/2))))
(*.f64 (/.f64 (-.f64 (+.f64 -1 (sqrt.f64 (+.f64 2 x))) (*.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))) x)) (*.f64 (-.f64 -1 x) (-.f64 1 (sqrt.f64 (+.f64 2 x))))) (+.f64 1 (sqrt.f64 (+.f64 2 x))))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) (/.f64 (-.f64 (+.f64 -1 (sqrt.f64 (+.f64 2 x))) (*.f64 x (-.f64 1 (sqrt.f64 (+.f64 2 x))))) (*.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))) (-.f64 -1 x))))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) (/.f64 (+.f64 -1 (-.f64 (sqrt.f64 (+.f64 2 x)) (*.f64 x (-.f64 1 (sqrt.f64 (+.f64 2 x)))))) (*.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))) (-.f64 -1 x))))
(*.f64 (/.f64 (-.f64 (+.f64 -1 (sqrt.f64 (+.f64 2 x))) (*.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))) x)) (*.f64 (-.f64 1 (pow.f64 (+.f64 2 x) 3/2)) (-.f64 1 (sqrt.f64 (+.f64 2 x))))) (+.f64 (sqrt.f64 (+.f64 2 x)) (+.f64 3 x)))
(/.f64 (*.f64 (-.f64 (+.f64 -1 (sqrt.f64 (+.f64 2 x))) (*.f64 x (-.f64 1 (sqrt.f64 (+.f64 2 x))))) (+.f64 (sqrt.f64 (+.f64 2 x)) (+.f64 x 3))) (*.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))) (-.f64 1 (pow.f64 (+.f64 2 x) 3/2))))
(/.f64 (*.f64 (+.f64 3 (+.f64 x (sqrt.f64 (+.f64 2 x)))) (+.f64 -1 (-.f64 (sqrt.f64 (+.f64 2 x)) (*.f64 x (-.f64 1 (sqrt.f64 (+.f64 2 x))))))) (*.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))) (-.f64 1 (pow.f64 (+.f64 2 x) 3/2))))
(*.f64 (/.f64 (-.f64 (+.f64 -1 (sqrt.f64 (+.f64 2 x))) (*.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))) x)) (*.f64 (-.f64 -1 x) (-.f64 1 (pow.f64 (+.f64 2 x) 3/2)))) (*.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) (+.f64 (sqrt.f64 (+.f64 2 x)) (+.f64 3 x))))
(*.f64 (/.f64 (-.f64 (+.f64 -1 (sqrt.f64 (+.f64 2 x))) (*.f64 x (-.f64 1 (sqrt.f64 (+.f64 2 x))))) (*.f64 (-.f64 -1 x) (-.f64 1 (pow.f64 (+.f64 2 x) 3/2)))) (*.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) (+.f64 (sqrt.f64 (+.f64 2 x)) (+.f64 x 3))))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) (/.f64 (*.f64 (+.f64 3 (+.f64 x (sqrt.f64 (+.f64 2 x)))) (+.f64 -1 (-.f64 (sqrt.f64 (+.f64 2 x)) (*.f64 x (-.f64 1 (sqrt.f64 (+.f64 2 x))))))) (*.f64 (+.f64 -1 (pow.f64 (+.f64 2 x) 3/2)) (+.f64 1 x))))
(*.f64 (/.f64 (-.f64 (+.f64 -1 (sqrt.f64 (+.f64 2 x))) (*.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))) x)) (*.f64 (-.f64 1 (pow.f64 (+.f64 2 x) 3/2)) (-.f64 -1 x))) (*.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) (+.f64 3 x)) (+.f64 1 (sqrt.f64 (+.f64 2 x)))))
(*.f64 (/.f64 (-.f64 (+.f64 -1 (sqrt.f64 (+.f64 2 x))) (*.f64 x (-.f64 1 (sqrt.f64 (+.f64 2 x))))) (*.f64 (-.f64 -1 x) (-.f64 1 (pow.f64 (+.f64 2 x) 3/2)))) (*.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) (+.f64 (sqrt.f64 (+.f64 2 x)) (+.f64 x 3))))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) (/.f64 (*.f64 (+.f64 3 (+.f64 x (sqrt.f64 (+.f64 2 x)))) (+.f64 -1 (-.f64 (sqrt.f64 (+.f64 2 x)) (*.f64 x (-.f64 1 (sqrt.f64 (+.f64 2 x))))))) (*.f64 (+.f64 -1 (pow.f64 (+.f64 2 x) 3/2)) (+.f64 1 x))))
(pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 1)
(+.f64 1 (sqrt.f64 (+.f64 2 x)))
(pow.f64 (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) 2)
(+.f64 1 (sqrt.f64 (+.f64 2 x)))
(pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) 3)
(+.f64 1 (sqrt.f64 (+.f64 2 x)))
(pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) -1)
(+.f64 1 (sqrt.f64 (+.f64 2 x)))
(pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3) 1/3)
(+.f64 1 (sqrt.f64 (+.f64 2 x)))
(neg.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 (sqrt.f64 (+.f64 2 x)))))
(/.f64 (neg.f64 (-.f64 -1 x)) (+.f64 -1 (sqrt.f64 (+.f64 2 x))))
(sqrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2))
(log.f64 (exp.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))))
(+.f64 1 (sqrt.f64 (+.f64 2 x)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))))))
(+.f64 1 (sqrt.f64 (+.f64 2 x)))
(cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3))
(+.f64 1 (sqrt.f64 (+.f64 2 x)))
(expm1.f64 (log.f64 (+.f64 2 (sqrt.f64 (+.f64 2 x)))))
(exp.f64 (log1p.f64 (sqrt.f64 (+.f64 2 x))))
(exp.f64 (*.f64 (log1p.f64 (sqrt.f64 (+.f64 2 x))) 1))
(exp.f64 (log1p.f64 (sqrt.f64 (+.f64 2 x))))
(log1p.f64 (expm1.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))))
(+.f64 1 (sqrt.f64 (+.f64 2 x)))

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 8 to 8 computations (0% saved)

series0.0ms (0%)

Counts
1 → 0

rewrite50.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
958×add-sqr-sqrt
932×*-un-lft-identity
884×pow1
882×add-cube-cbrt
872×add-cbrt-cube
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0611
11255
214915
Stop Event
1×node limit
Counts
1 → 21
Calls
Call 1
Inputs
(/.f64 2 (sqrt.f64 2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sqrt.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (pow.f64 2 -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 2 1/4) (pow.f64 2 1/4))))) (#(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 (pow.f64 2 -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (/.f64 1 (neg.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 2 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 2 1/4) 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 2 (sqrt.f64 2)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 2 -1/2) -1)))) (#(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 2 (sqrt.f64 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)))))))

simplify49.0ms (1%)

Algorithm
1×egg-herbie
Rules
1228×associate-/r*
954×associate-+r+
850×distribute-lft-in
820×associate-+l+
716×distribute-rgt-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
045353
190247
2331157
31239157
43907157
Stop Event
1×node limit
Counts
21 → 26
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (sqrt.f64 2)) 1)
(*.f64 2 (pow.f64 2 -1/2))
(*.f64 (sqrt.f64 2) 1)
(*.f64 1 (sqrt.f64 2))
(*.f64 (pow.f64 2 1/4) (pow.f64 2 1/4))
(*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 2))
(*.f64 (cbrt.f64 2) (cbrt.f64 (sqrt.f64 2)))
(*.f64 (pow.f64 2 -1/2) 2)
(*.f64 -2 (/.f64 1 (neg.f64 (sqrt.f64 2))))
(pow.f64 2 1/2)
(pow.f64 (sqrt.f64 2) 1)
(pow.f64 (pow.f64 2 1/4) 2)
(pow.f64 (cbrt.f64 (sqrt.f64 2)) 3)
(pow.f64 (*.f64 2 (sqrt.f64 2)) 1/3)
(pow.f64 (pow.f64 2 -1/2) -1)
(sqrt.f64 2)
(log.f64 (exp.f64 (sqrt.f64 2)))
(cbrt.f64 (*.f64 2 (sqrt.f64 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 2 (pow.f64 2 -1/2))
(+.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 1 (sqrt.f64 2))
(+.f64 1 (-.f64 (sqrt.f64 2) 1))
(+.f64 (sqrt.f64 2) 0)
(sqrt.f64 2)
(*.f64 (pow.f64 2 1/4) (pow.f64 2 1/4))
(+.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 (pow.f64 2 -1/2) 2)
(+.f64 1 (-.f64 (sqrt.f64 2) 1))
(+.f64 (sqrt.f64 2) 0)
(sqrt.f64 2)
(*.f64 -2 (/.f64 1 (neg.f64 (sqrt.f64 2))))
(/.f64 -2 (neg.f64 (sqrt.f64 2)))
(/.f64 2 (sqrt.f64 2))
(pow.f64 2 1/2)
(+.f64 1 (-.f64 (sqrt.f64 2) 1))
(+.f64 (sqrt.f64 2) 0)
(sqrt.f64 2)
(pow.f64 (sqrt.f64 2) 1)
(+.f64 1 (-.f64 (sqrt.f64 2) 1))
(+.f64 (sqrt.f64 2) 0)
(sqrt.f64 2)
(pow.f64 (pow.f64 2 1/4) 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 2 (sqrt.f64 2)) 1/3)
(cbrt.f64 (*.f64 2 (sqrt.f64 2)))
(cbrt.f64 (pow.f64 2 3/2))
(pow.f64 (pow.f64 2 -1/2) -1)
(/.f64 -2 (neg.f64 (sqrt.f64 2)))
(/.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 2 (sqrt.f64 2)))
(cbrt.f64 (pow.f64 2 3/2))
(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)

eval267.0ms (5.3%)

Compiler

Compiled 12965 to 11221 computations (13.5% saved)

prune97.0ms (1.9%)

Pruning

9 alts after pruning (3 fresh and 6 done)

PrunedKeptTotal
New4853488
Fresh000
Picked011
Done055
Total4859494
Error
0b
Counts
494 → 9
Alt Table
Click to see full alt table
StatusErrorProgram
✓19.0b
(/.f64 2 (sqrt.f64 2))
23.5b
(-.f64 (/.f64 (-.f64 -1 x) (/.f64 (/.f64 (+.f64 -1 (*.f64 x x)) (+.f64 1 (sqrt.f64 (+.f64 2 x)))) (-.f64 1 x))) 1)
24.2b
(-.f64 (/.f64 (-.f64 -1 x) (-.f64 1 (-.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 1))) 1)
✓24.1b
(-.f64 (/.f64 (-.f64 -1 x) (-.f64 1 (sqrt.f64 (+.f64 2 x)))) 1)
19.7b
(-.f64 (/.f64 -1 (-.f64 1 (sqrt.f64 2))) 1)
✓23.5b
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 1)
✓22.9b
(sqrt.f64 (+.f64 2 x))
✓0.0b
(sqrt.f64 (+.f64 1 (exp.f64 x)))
✓18.4b
(sqrt.f64 2)
Compiler

Compiled 90 to 78 computations (13.3% saved)

regimes20.0ms (0.4%)

Counts
12 → 1
Calls
Call 1
Inputs
(sqrt.f64 2)
(sqrt.f64 (+.f64 2 x))
(/.f64 2 (sqrt.f64 2))
(-.f64 (+.f64 (sqrt.f64 2) 1) 1)
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 1)
(-.f64 (/.f64 -1 (-.f64 1 (sqrt.f64 2))) 1)
(-.f64 (/.f64 (-.f64 -1 x) (-.f64 1 (sqrt.f64 (+.f64 2 x)))) 1)
(-.f64 (/.f64 (-.f64 -1 x) (-.f64 1 (-.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 1))) 1)
(-.f64 (/.f64 (-.f64 -1 x) (/.f64 (/.f64 (+.f64 -1 (*.f64 x x)) (+.f64 1 (sqrt.f64 (+.f64 2 x)))) (-.f64 1 x))) 1)
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (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:

7.0ms
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 136 to 114 computations (16.2% saved)

regimes8.0ms (0.1%)

Accuracy

Total -5.9b remaining (-32.1%)

Threshold costs -5.9b (-32.1%)

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

1 calls:

5.0ms
x
Results
ErrorSegmentsBranch
18.4b1x
Compiler

Compiled 85 to 73 computations (14.1% saved)

simplify6.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01020
11320
Stop Event
1×fuel
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)

soundness76.0ms (1.5%)

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)

end17.0ms (0.3%)

Compiler

Compiled 8 to 7 computations (12.5% saved)

Profiling

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