Details

Time bar (total: 3.7s)

analyze172.0ms (4.7%)

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 (54.6%)

Results
1.0s2748×body1024valid
449.0ms3845×body256valid
295.0ms1366×body512valid
133.0ms297×body2048valid
6.0ms56×body256infinite
0.0ms1×body256unsamplable
Bogosity

preprocess36.0ms (1%)

Algorithm
2×egg-herbie
Rules
633×associate-/l*_binary64
580×associate-*l*_binary64
568×associate-*r*_binary64
505×associate-/r*_binary64
380×fma-def_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01113
12513
23413
35913
412711
53498
613418
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)

simplify24.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
633×associate-/l*_binary64
580×associate-*l*_binary64
568×associate-*r*_binary64
505×associate-/r*_binary64
380×fma-def_binary64
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
01113
12513
23413
35913
412711
53498
613418
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)

prune52.0ms (1.4%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New325
Fresh101
Picked000
Done000
Total426
Error
0.0b
Counts
6 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.0b
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
▶0.0b
(sqrt.f64 (+.f64 1 (exp.f64 x)))
Compiler

Compiled 15 to 11 computations (26.7% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiled 14 to 8 computations (42.9% saved)

series3.0ms (0.1%)

Counts
2 → 8
Calls

6 calls:

TimeVariablePointExpression
1.0ms
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))

rewrite41.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
550×pow1_binary64
512×add-log-exp_binary64
512×log1p-expm1-u_binary64
512×expm1-log1p-u_binary64
500×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0614
111814
2142914
Stop Event
1×node limit
Counts
2 → 58
Calls
Call 1
Inputs
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(+.f64 1 (exp.f64 x))
Outputs
((#(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 (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 (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 (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 (exp.f64 (+.f64 x x)))) (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)) 3/2) 1/3)))) (#(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)) 1/4) 2)))) (#(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 hypot.f64 1 (sqrt.f64 (exp.f64 x)))))) (#(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 log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 1 (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 -.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 (exp.f64 (+.f64 x x)) (-.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 (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 (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 (+.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 1 (exp.f64 (+.f64 x x))) (/.f64 1 (-.f64 1 (exp.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 (*.f64 (exp.f64 x) (expm1.f64 x))) (+.f64 1 (pow.f64 (exp.f64 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 1 (exp.f64 x)) (-.f64 1 (exp.f64 (+.f64 x 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 (exp.f64 (+.f64 x x)) (-.f64 1 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (exp.f64 (+.f64 x x))) (-.f64 1 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.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 /.f64 (neg.f64 (-.f64 1 (exp.f64 (+.f64 x x)))) (neg.f64 (-.f64 1 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (exp.f64 (+.f64 x x)) 1) (expm1.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x 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 (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 pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 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 log1p.f64 (expm1.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 fma.f64 1 (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 fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) 1)))))

simplify61.0ms (1.7%)

Algorithm
1×egg-herbie
Rules
695×times-frac_binary64
578×distribute-rgt-in_binary64
535×distribute-lft-in_binary64
421×fma-def_binary64
231×fma-neg_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0153947
1361825
21201653
33679639
Stop Event
1×node limit
Counts
66 → 95
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))))))
2
(+.f64 2 x)
(+.f64 2 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x)))
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 1)
(*.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1)
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (cbrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) (pow.f64 (+.f64 1 (exp.f64 x)) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2)) (sqrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 1/2))
(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3))) (sqrt.f64 (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x)))))
(/.f64 (sqrt.f64 (-.f64 1 (exp.f64 (+.f64 x x)))) (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)) 3/2) 1/3)
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 3)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) 2)
(fabs.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))
(-.f64 (+.f64 1 (+.f64 1 (exp.f64 x))) 1)
(-.f64 (/.f64 1 (-.f64 1 (exp.f64 x))) (/.f64 (exp.f64 (+.f64 x x)) (-.f64 1 (exp.f64 x))))
(*.f64 1 (+.f64 1 (exp.f64 x)))
(*.f64 (+.f64 1 (exp.f64 x)) 1)
(*.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) (sqrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2))
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2) (cbrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) (*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(*.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (/.f64 1 (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x)))))
(*.f64 (-.f64 1 (exp.f64 (+.f64 x x))) (/.f64 1 (-.f64 1 (exp.f64 x))))
(*.f64 (*.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)) (pow.f64 (+.f64 1 (exp.f64 x)) 1/4))
(*.f64 (*.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) (cbrt.f64 (+.f64 1 (exp.f64 x)))) (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(/.f64 1 (/.f64 (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x))) (+.f64 1 (pow.f64 (exp.f64 x) 3))))
(/.f64 1 (/.f64 (-.f64 1 (exp.f64 x)) (-.f64 1 (exp.f64 (+.f64 x x)))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (+.f64 (exp.f64 (+.f64 x x)) (-.f64 1 (exp.f64 x))))
(/.f64 (-.f64 1 (exp.f64 (+.f64 x x))) (-.f64 1 (exp.f64 x)))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3))) (neg.f64 (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x)))))
(/.f64 (neg.f64 (-.f64 1 (exp.f64 (+.f64 x x)))) (neg.f64 (-.f64 1 (exp.f64 x))))
(/.f64 (-.f64 (exp.f64 (+.f64 x x)) 1) (expm1.f64 x))
(pow.f64 (+.f64 1 (exp.f64 x)) 1)
(pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 2)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3) 1/3)
(pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 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))))
(log1p.f64 (expm1.f64 (+.f64 1 (exp.f64 x))))
(exp.f64 (log1p.f64 (exp.f64 x)))
(fma.f64 1 (exp.f64 x) 1)
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.f64 (exp.f64 x)) 1)
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) 1)
Outputs
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))
(fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (sqrt.f64 2))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 1/2 (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 (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 2 (expm1.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))
(+.f64 2 (expm1.f64 x))

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
✓0.0b
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
Compiler

Compiled 26 to 6 computations (76.9% saved)

series3.0ms (0.1%)

Counts
2 → 24
Calls

6 calls:

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

rewrite55.0ms (1.5%)

Algorithm
1×batch-egg-rewrite
Rules
752×pow1_binary64
704×add-log-exp_binary64
703×log1p-expm1-u_binary64
703×expm1-log1p-u_binary64
687×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0724
115124
2210624
Stop Event
1×node limit
Counts
2 → 65
Calls
Call 1
Inputs
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 1/4) (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (sqrt.f64 (/.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (pow.f64 (/.f64 1 (expm1.f64 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (/.f64 1 (sqrt.f64 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 2)) (sqrt.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 2) 1/2) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (sqrt.f64 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (expm1.f64 (+.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (sqrt.f64 (expm1.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (neg.f64 (expm1.f64 (+.f64 x x)))) (sqrt.f64 (neg.f64 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sqrt.f64 (expm1.f64 (+.f64 x x)))) (neg.f64 (sqrt.f64 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)) (/.f64 1 (expm1.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 (+.f64 x x)) (/.f64 1 (expm1.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 2) (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))) 2) (*.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))) (/.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 1/4) (*.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 1/4) (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (*.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (/.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (expm1.f64 (+.f64 x x))) (/.f64 1 (neg.f64 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (expm1.f64 x)) (expm1.f64 (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 1/4)) (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))) 2) 1) (/.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))) (expm1.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) 1) (/.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (expm1.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (/.f64 (expm1.f64 (+.f64 x x)) (cbrt.f64 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))) 2) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (/.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (cbrt.f64 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (expm1.f64 x))) (/.f64 (expm1.f64 (+.f64 x x)) (sqrt.f64 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))) 2) (sqrt.f64 (expm1.f64 x))) (/.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))) (sqrt.f64 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (expm1.f64 (+.f64 x x)) (neg.f64 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 3) (pow.f64 (expm1.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))))))

simplify60.0ms (1.6%)

Algorithm
1×egg-herbie
Rules
530×log-prod_binary64
387×log-div_binary64
381×fma-neg_binary64
340×fma-def_binary64
306×associate-/l*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01901402
14461316
215671306
366501306
Stop Event
1×node limit
Counts
89 → 99
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 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 -2 x))) 1) (-.f64 (exp.f64 x) 1)))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 -2 x))) 1) (-.f64 (exp.f64 x) 1)))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 -2 x))) 1) (-.f64 (exp.f64 x) 1)))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 -2 x))) 1) (-.f64 (exp.f64 x) 1)))
2
(+.f64 2 x)
(+.f64 2 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x)))
(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
(/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 -2 x))) 1) (-.f64 (exp.f64 x) 1))
(/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 -2 x))) 1) (-.f64 (exp.f64 x) 1))
(/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 -2 x))) 1) (-.f64 (exp.f64 x) 1))
(/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 -2 x))) 1) (-.f64 (exp.f64 x) 1))
(-.f64 (+.f64 1 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) 1)
(*.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 1)
(*.f64 1 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))
(*.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 1/4) (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 1/4))
(*.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (sqrt.f64 (/.f64 1 (expm1.f64 x))))
(*.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (pow.f64 (/.f64 1 (expm1.f64 x)) 1/2))
(*.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (/.f64 1 (sqrt.f64 (expm1.f64 x))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 2)) (sqrt.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 2) 1/2) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 1/2))
(/.f64 1 (sqrt.f64 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x)))))
(/.f64 1 (/.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (expm1.f64 (+.f64 x x)))))
(/.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (sqrt.f64 (expm1.f64 x)))
(/.f64 (sqrt.f64 (neg.f64 (expm1.f64 (+.f64 x x)))) (sqrt.f64 (neg.f64 (expm1.f64 x))))
(/.f64 (neg.f64 (sqrt.f64 (expm1.f64 (+.f64 x x)))) (neg.f64 (sqrt.f64 (expm1.f64 x))))
(pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 1/2)
(pow.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 1)
(pow.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 3/2) 1/3)
(pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) 3)
(pow.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 1/4) 2)
(fabs.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))
(log.f64 (exp.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))
(cbrt.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))
(exp.f64 (log.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))
(-.f64 (+.f64 1 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 1)
(-.f64 (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)) (/.f64 1 (expm1.f64 x)))
(*.f64 (expm1.f64 (+.f64 x x)) (/.f64 1 (expm1.f64 x)))
(*.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 1)
(*.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))
(*.f64 1 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 2))
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 2) (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))) 2) (*.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))) (/.f64 1 (expm1.f64 x))))
(*.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 1/4) (*.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 1/4) (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))
(*.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (*.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (/.f64 1 (expm1.f64 x))))
(*.f64 (neg.f64 (expm1.f64 (+.f64 x x))) (/.f64 1 (neg.f64 (expm1.f64 x))))
(*.f64 (/.f64 1 (expm1.f64 x)) (expm1.f64 (+.f64 x x)))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 1/4)) (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 1/4))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))) 2) 1) (/.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))) (expm1.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) 1) (/.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (expm1.f64 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (/.f64 (expm1.f64 (+.f64 x x)) (cbrt.f64 (expm1.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))) 2) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (/.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (cbrt.f64 (expm1.f64 x))))
(*.f64 (/.f64 1 (sqrt.f64 (expm1.f64 x))) (/.f64 (expm1.f64 (+.f64 x x)) (sqrt.f64 (expm1.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))) 2) (sqrt.f64 (expm1.f64 x))) (/.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))) (sqrt.f64 (expm1.f64 x))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))
(pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 1)
(pow.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 2)
(pow.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 3)
(pow.f64 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x))) -1)
(neg.f64 (/.f64 (expm1.f64 (+.f64 x x)) (neg.f64 (expm1.f64 x))))
(sqrt.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 2))
(log.f64 (exp.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))
(cbrt.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 3))
(cbrt.f64 (/.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 3) (pow.f64 (expm1.f64 x) 3)))
(expm1.f64 (log1p.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))
(log1p.f64 (expm1.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))
(exp.f64 (log.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 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 1/2 (/.f64 (*.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 x 2)) (sqrt.f64 2))) (*.f64 1/2 (/.f64 x (sqrt.f64 2)))))
(+.f64 (sqrt.f64 2) (*.f64 1/2 (+.f64 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (/.f64 (sqrt.f64 2) (*.f64 x x))) (/.f64 x (sqrt.f64 2)))))
(fma.f64 1/2 (+.f64 (/.f64 x (sqrt.f64 2)) (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (/.f64 (sqrt.f64 2) (*.f64 x x)))) (sqrt.f64 2))
(fma.f64 1/2 (fma.f64 (-.f64 (/.f64 1/2 (sqrt.f64 2)) (/.f64 (/.f64 1/4 (sqrt.f64 2)) 2)) (*.f64 x x) (/.f64 x (sqrt.f64 2))) (sqrt.f64 2))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 1/6 (*.f64 1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2)))) (pow.f64 x 3)) (sqrt.f64 2))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 x 2)) (sqrt.f64 2))) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))))
(+.f64 (sqrt.f64 2) (fma.f64 1/2 (/.f64 (-.f64 1/6 (*.f64 1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2)))) (/.f64 (sqrt.f64 2) (pow.f64 x 3))) (*.f64 1/2 (+.f64 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (/.f64 (sqrt.f64 2) (*.f64 x x))) (/.f64 x (sqrt.f64 2))))))
(+.f64 (sqrt.f64 2) (fma.f64 1/2 (+.f64 (/.f64 x (sqrt.f64 2)) (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (/.f64 (sqrt.f64 2) (*.f64 x x)))) (/.f64 (*.f64 7/192 (pow.f64 x 3)) (sqrt.f64 2))))
(fma.f64 1/2 (fma.f64 (/.f64 7/96 (sqrt.f64 2)) (pow.f64 x 3) (fma.f64 (-.f64 (/.f64 1/2 (sqrt.f64 2)) (/.f64 (/.f64 1/4 (sqrt.f64 2)) 2)) (*.f64 x x) (/.f64 x (sqrt.f64 2)))) (sqrt.f64 2))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 -2 x))) 1) (-.f64 (exp.f64 x) 1)))
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 -2 x))) 1) (-.f64 (exp.f64 x) 1)))
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 -2 x))) 1) (-.f64 (exp.f64 x) 1)))
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 -2 x))) 1) (-.f64 (exp.f64 x) 1)))
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
2
(+.f64 2 x)
(+.f64 2 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(+.f64 2 (fma.f64 1/2 (*.f64 x x) x))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x)))
(fma.f64 1/6 (pow.f64 x 3) (+.f64 2 (fma.f64 1/2 (*.f64 x x) x)))
(+.f64 (fma.f64 1/2 (*.f64 x x) x) (fma.f64 1/6 (pow.f64 x 3) 2))
(+.f64 2 (fma.f64 1/6 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) x)))
(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
(/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 -2 x))) 1) (-.f64 (exp.f64 x) 1))
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
(/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 -2 x))) 1) (-.f64 (exp.f64 x) 1))
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
(/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 -2 x))) 1) (-.f64 (exp.f64 x) 1))
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
(/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 -2 x))) 1) (-.f64 (exp.f64 x) 1))
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
(-.f64 (+.f64 1 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) 1)
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(*.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 1)
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(*.f64 1 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))
(*.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 1/4) (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 1/4))
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(*.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (sqrt.f64 (/.f64 1 (expm1.f64 x))))
(*.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (pow.f64 (/.f64 1 (expm1.f64 x)) 1/2))
(*.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (sqrt.f64 (/.f64 1 (expm1.f64 x))))
(*.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (/.f64 1 (sqrt.f64 (expm1.f64 x))))
(/.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (sqrt.f64 (expm1.f64 x)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 2)) (sqrt.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))
(*.f64 (fabs.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) (sqrt.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) (sqrt.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 2) 1/2) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 2)) (sqrt.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))
(*.f64 (fabs.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) (sqrt.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) (sqrt.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))
(/.f64 1 (sqrt.f64 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x)))))
(/.f64 1 (/.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (expm1.f64 (+.f64 x x)))))
(*.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (/.f64 1 (sqrt.f64 (expm1.f64 x))))
(/.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (sqrt.f64 (expm1.f64 x)))
(/.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (sqrt.f64 (expm1.f64 x)))
(*.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (/.f64 1 (sqrt.f64 (expm1.f64 x))))
(/.f64 (sqrt.f64 (neg.f64 (expm1.f64 (+.f64 x x)))) (sqrt.f64 (neg.f64 (expm1.f64 x))))
(/.f64 (neg.f64 (sqrt.f64 (expm1.f64 (+.f64 x x)))) (neg.f64 (sqrt.f64 (expm1.f64 x))))
(*.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (/.f64 1 (sqrt.f64 (expm1.f64 x))))
(/.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (sqrt.f64 (expm1.f64 x)))
(pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 1/2)
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(pow.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 1)
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(pow.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 3/2) 1/3)
(cbrt.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 3/2))
(pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) 3)
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(pow.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 1/4) 2)
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(fabs.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(log.f64 (exp.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(cbrt.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(exp.f64 (log.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(-.f64 (+.f64 1 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 1)
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
(-.f64 (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)) (/.f64 1 (expm1.f64 x)))
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
(*.f64 (expm1.f64 (+.f64 x x)) (/.f64 1 (expm1.f64 x)))
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
(*.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 1)
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
(*.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
(*.f64 1 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 2))
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) (*.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))))
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) 4))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 2) (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))) 2) (*.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))) (/.f64 1 (expm1.f64 x))))
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
(*.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 1/4) (*.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 1/4) (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
(*.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (*.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (/.f64 1 (expm1.f64 x))))
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
(*.f64 (neg.f64 (expm1.f64 (+.f64 x x))) (/.f64 1 (neg.f64 (expm1.f64 x))))
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
(*.f64 (/.f64 1 (expm1.f64 x)) (expm1.f64 (+.f64 x x)))
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 1/4)) (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 1/4))
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))) 2) 1) (/.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))) (expm1.f64 x)))
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) 1) (/.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (expm1.f64 x)))
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (/.f64 (expm1.f64 (+.f64 x x)) (cbrt.f64 (expm1.f64 x))))
(/.f64 (/.f64 (expm1.f64 (+.f64 x x)) (cbrt.f64 (expm1.f64 x))) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2))
(/.f64 (expm1.f64 (+.f64 x x)) (*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (cbrt.f64 (expm1.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))) 2) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))) 2) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)))
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (/.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (cbrt.f64 (expm1.f64 x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (/.f64 (expm1.f64 (+.f64 x x)) (cbrt.f64 (expm1.f64 x))))
(/.f64 (/.f64 (expm1.f64 (+.f64 x x)) (cbrt.f64 (expm1.f64 x))) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2))
(/.f64 (expm1.f64 (+.f64 x x)) (*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (cbrt.f64 (expm1.f64 x))))
(*.f64 (/.f64 1 (sqrt.f64 (expm1.f64 x))) (/.f64 (expm1.f64 (+.f64 x x)) (sqrt.f64 (expm1.f64 x))))
(/.f64 (/.f64 (expm1.f64 (+.f64 x x)) (sqrt.f64 (expm1.f64 x))) (sqrt.f64 (expm1.f64 x)))
(/.f64 (expm1.f64 (+.f64 x x)) (*.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (expm1.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))) 2) (sqrt.f64 (expm1.f64 x))) (/.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))) (sqrt.f64 (expm1.f64 x))))
(*.f64 (/.f64 1 (sqrt.f64 (expm1.f64 x))) (/.f64 (expm1.f64 (+.f64 x x)) (sqrt.f64 (expm1.f64 x))))
(/.f64 (/.f64 (expm1.f64 (+.f64 x x)) (sqrt.f64 (expm1.f64 x))) (sqrt.f64 (expm1.f64 x)))
(/.f64 (expm1.f64 (+.f64 x x)) (*.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (expm1.f64 x))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) (*.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))))
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) 4))
(pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 1)
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
(pow.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 2)
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
(pow.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 2) 1/2)
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
(pow.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 3) 1/3)
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
(pow.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 3)
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
(pow.f64 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x))) -1)
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
(neg.f64 (/.f64 (expm1.f64 (+.f64 x x)) (neg.f64 (expm1.f64 x))))
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
(sqrt.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 2))
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
(log.f64 (exp.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
(cbrt.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 3))
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
(cbrt.f64 (/.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 3) (pow.f64 (expm1.f64 x) 3)))
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
(expm1.f64 (log1p.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
(log1p.f64 (expm1.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
(exp.f64 (log.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))

eval46.0ms (1.3%)

Compiler

Compiled 2678 to 1463 computations (45.4% saved)

prune24.0ms (0.6%)

Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New1895194
Fresh000
Picked101
Done101
Total1915196
Error
0b
Counts
196 → 5
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.6b
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 1)
▶0.0b
(sqrt.f64 (+.f64 (+.f64 2 (exp.f64 x)) -1))
▶0.0b
(sqrt.f64 (+.f64 2 (expm1.f64 x)))
▶22.9b
(sqrt.f64 (+.f64 2 x))
▶18.6b
(sqrt.f64 2)
Compiler

Compiled 64 to 56 computations (12.5% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.0b
(sqrt.f64 (+.f64 2 (expm1.f64 x)))
Compiler

Compiled 14 to 8 computations (42.9% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite38.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
631×pow1_binary64
592×add-log-exp_binary64
591×log1p-expm1-u_binary64
591×expm1-log1p-u_binary64
580×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068
11298
215768
Stop Event
1×node limit
Counts
1 → 22
Calls
Call 1
Inputs
(sqrt.f64 (+.f64 2 (expm1.f64 x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sqrt.f64 (+.f64 2 (expm1.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 2 (expm1.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (+.f64 2 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 (expm1.f64 x)))) (cbrt.f64 (+.f64 2 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 2 (expm1.f64 x))) (cbrt.f64 (sqrt.f64 (+.f64 2 (expm1.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 2 (expm1.f64 x)) 1/4) (pow.f64 (+.f64 2 (expm1.f64 x)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 2 (expm1.f64 x))) 2)) (sqrt.f64 (cbrt.f64 (+.f64 2 (expm1.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 2 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 2 (expm1.f64 x))) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 2 (expm1.f64 x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 4 (pow.f64 (expm1.f64 x) 2))) (sqrt.f64 (-.f64 2 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 8 (pow.f64 (expm1.f64 x) 3))) (sqrt.f64 (+.f64 4 (*.f64 (expm1.f64 x) (-.f64 (expm1.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 2 (expm1.f64 x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 2 (expm1.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 2 (expm1.f64 x)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 (expm1.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 2 (expm1.f64 x)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (+.f64 2 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (+.f64 2 (expm1.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 2 (expm1.f64 x)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 2 (expm1.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 2 (expm1.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (+.f64 2 (expm1.f64 x)))))))))

simplify47.0ms (1.3%)

Algorithm
1×egg-herbie
Rules
586×fma-def_binary64
568×unswap-sqr_binary64
434×fma-neg_binary64
341×associate-/l*_binary64
324×times-frac_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
090557
1212475
2569423
31883381
46201381
Stop Event
1×node limit
Counts
34 → 46
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 (+.f64 1 (sqrt.f64 (+.f64 2 (expm1.f64 x)))) 1)
(*.f64 (sqrt.f64 (+.f64 2 (expm1.f64 x))) 1)
(*.f64 1 (sqrt.f64 (+.f64 2 (expm1.f64 x))))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 (expm1.f64 x)))) (cbrt.f64 (+.f64 2 (expm1.f64 x))))
(*.f64 (cbrt.f64 (+.f64 2 (expm1.f64 x))) (cbrt.f64 (sqrt.f64 (+.f64 2 (expm1.f64 x)))))
(*.f64 (pow.f64 (+.f64 2 (expm1.f64 x)) 1/4) (pow.f64 (+.f64 2 (expm1.f64 x)) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 2 (expm1.f64 x))) 2)) (sqrt.f64 (cbrt.f64 (+.f64 2 (expm1.f64 x)))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 2 (expm1.f64 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 2 (expm1.f64 x))) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 2 (expm1.f64 x))) 1/2))
(/.f64 (sqrt.f64 (-.f64 4 (pow.f64 (expm1.f64 x) 2))) (sqrt.f64 (-.f64 2 (expm1.f64 x))))
(/.f64 (sqrt.f64 (+.f64 8 (pow.f64 (expm1.f64 x) 3))) (sqrt.f64 (+.f64 4 (*.f64 (expm1.f64 x) (-.f64 (expm1.f64 x) 2)))))
(pow.f64 (+.f64 2 (expm1.f64 x)) 1/2)
(pow.f64 (sqrt.f64 (+.f64 2 (expm1.f64 x))) 1)
(pow.f64 (pow.f64 (+.f64 2 (expm1.f64 x)) 3/2) 1/3)
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 (expm1.f64 x)))) 3)
(pow.f64 (pow.f64 (+.f64 2 (expm1.f64 x)) 1/4) 2)
(fabs.f64 (sqrt.f64 (+.f64 2 (expm1.f64 x))))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 2 (expm1.f64 x)))))
(cbrt.f64 (pow.f64 (+.f64 2 (expm1.f64 x)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 2 (expm1.f64 x)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 2 (expm1.f64 x)))))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 2 (expm1.f64 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 1/2 (/.f64 (*.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 x 2)) (sqrt.f64 2))) (*.f64 1/2 (/.f64 x (sqrt.f64 2)))))
(+.f64 (sqrt.f64 2) (*.f64 1/2 (+.f64 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (/.f64 (sqrt.f64 2) (*.f64 x x))) (/.f64 x (sqrt.f64 2)))))
(fma.f64 1/2 (+.f64 (/.f64 x (sqrt.f64 2)) (*.f64 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (sqrt.f64 2)) (*.f64 x x))) (sqrt.f64 2))
(fma.f64 1/2 (fma.f64 (-.f64 (/.f64 1/2 (sqrt.f64 2)) (/.f64 (/.f64 1/4 (sqrt.f64 2)) 2)) (*.f64 x x) (/.f64 x (sqrt.f64 2))) (sqrt.f64 2))
(+.f64 (sqrt.f64 2) (*.f64 (/.f64 1/2 (sqrt.f64 2)) (+.f64 x (*.f64 3/8 (*.f64 x x)))))
(+.f64 (sqrt.f64 2) (*.f64 (/.f64 1/2 (sqrt.f64 2)) (+.f64 x (*.f64 x (*.f64 x 3/8)))))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 1/6 (*.f64 1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2)))) (pow.f64 x 3)) (sqrt.f64 2))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 x 2)) (sqrt.f64 2))) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))))
(+.f64 (sqrt.f64 2) (fma.f64 1/2 (/.f64 (+.f64 1/6 (*.f64 -1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2)))) (/.f64 (sqrt.f64 2) (pow.f64 x 3))) (*.f64 1/2 (+.f64 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (/.f64 (sqrt.f64 2) (*.f64 x x))) (/.f64 x (sqrt.f64 2))))))
(+.f64 (sqrt.f64 2) (fma.f64 1/2 (+.f64 (/.f64 x (sqrt.f64 2)) (*.f64 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (sqrt.f64 2)) (*.f64 x x))) (/.f64 (*.f64 7/192 (pow.f64 x 3)) (sqrt.f64 2))))
(fma.f64 1/2 (fma.f64 (/.f64 7/96 (sqrt.f64 2)) (pow.f64 x 3) (fma.f64 (-.f64 (/.f64 1/2 (sqrt.f64 2)) (/.f64 (/.f64 1/4 (sqrt.f64 2)) 2)) (*.f64 x x) (/.f64 x (sqrt.f64 2)))) (sqrt.f64 2))
(+.f64 (sqrt.f64 2) (fma.f64 (/.f64 3/16 (sqrt.f64 2)) (*.f64 x x) (*.f64 (/.f64 1/2 (sqrt.f64 2)) (+.f64 x (*.f64 7/96 (pow.f64 x 3))))))
(+.f64 (*.f64 (/.f64 1/2 (sqrt.f64 2)) (+.f64 x (*.f64 x (*.f64 x 3/8)))) (fma.f64 (/.f64 7/192 (sqrt.f64 2)) (pow.f64 x 3) (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 (+.f64 1 (sqrt.f64 (+.f64 2 (expm1.f64 x)))) 1)
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 2 (expm1.f64 x))) 1))
(+.f64 (sqrt.f64 (+.f64 2 (expm1.f64 x))) 0)
(sqrt.f64 (+.f64 2 (expm1.f64 x)))
(*.f64 (sqrt.f64 (+.f64 2 (expm1.f64 x))) 1)
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 2 (expm1.f64 x))) 1))
(+.f64 (sqrt.f64 (+.f64 2 (expm1.f64 x))) 0)
(sqrt.f64 (+.f64 2 (expm1.f64 x)))
(*.f64 1 (sqrt.f64 (+.f64 2 (expm1.f64 x))))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 2 (expm1.f64 x))) 1))
(+.f64 (sqrt.f64 (+.f64 2 (expm1.f64 x))) 0)
(sqrt.f64 (+.f64 2 (expm1.f64 x)))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 (expm1.f64 x)))) (cbrt.f64 (+.f64 2 (expm1.f64 x))))
(*.f64 (cbrt.f64 (+.f64 2 (expm1.f64 x))) (cbrt.f64 (sqrt.f64 (+.f64 2 (expm1.f64 x)))))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 (expm1.f64 x)))) (cbrt.f64 (+.f64 2 (expm1.f64 x))))
(*.f64 (pow.f64 (+.f64 2 (expm1.f64 x)) 1/4) (pow.f64 (+.f64 2 (expm1.f64 x)) 1/4))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 2 (expm1.f64 x))) 1))
(+.f64 (sqrt.f64 (+.f64 2 (expm1.f64 x))) 0)
(sqrt.f64 (+.f64 2 (expm1.f64 x)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 2 (expm1.f64 x))) 2)) (sqrt.f64 (cbrt.f64 (+.f64 2 (expm1.f64 x)))))
(*.f64 (fabs.f64 (cbrt.f64 (+.f64 2 (expm1.f64 x)))) (sqrt.f64 (cbrt.f64 (+.f64 2 (expm1.f64 x)))))
(*.f64 (cbrt.f64 (+.f64 2 (expm1.f64 x))) (sqrt.f64 (cbrt.f64 (+.f64 2 (expm1.f64 x)))))
(pow.f64 (cbrt.f64 (+.f64 2 (expm1.f64 x))) 3/2)
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 2 (expm1.f64 x))))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 2 (expm1.f64 x))) 1))
(+.f64 (sqrt.f64 (+.f64 2 (expm1.f64 x))) 0)
(sqrt.f64 (+.f64 2 (expm1.f64 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 2 (expm1.f64 x))) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 2 (expm1.f64 x))) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 2 (expm1.f64 x))) 2)) (sqrt.f64 (cbrt.f64 (+.f64 2 (expm1.f64 x)))))
(*.f64 (fabs.f64 (cbrt.f64 (+.f64 2 (expm1.f64 x)))) (sqrt.f64 (cbrt.f64 (+.f64 2 (expm1.f64 x)))))
(*.f64 (cbrt.f64 (+.f64 2 (expm1.f64 x))) (sqrt.f64 (cbrt.f64 (+.f64 2 (expm1.f64 x)))))
(pow.f64 (cbrt.f64 (+.f64 2 (expm1.f64 x))) 3/2)
(/.f64 (sqrt.f64 (-.f64 4 (pow.f64 (expm1.f64 x) 2))) (sqrt.f64 (-.f64 2 (expm1.f64 x))))
(/.f64 (sqrt.f64 (+.f64 8 (pow.f64 (expm1.f64 x) 3))) (sqrt.f64 (+.f64 4 (*.f64 (expm1.f64 x) (-.f64 (expm1.f64 x) 2)))))
(/.f64 (sqrt.f64 (+.f64 8 (pow.f64 (expm1.f64 x) 3))) (sqrt.f64 (+.f64 4 (*.f64 (expm1.f64 x) (+.f64 (expm1.f64 x) -2)))))
(/.f64 (sqrt.f64 (+.f64 8 (pow.f64 (expm1.f64 x) 3))) (sqrt.f64 (fma.f64 (expm1.f64 x) (+.f64 (expm1.f64 x) -2) 4)))
(pow.f64 (+.f64 2 (expm1.f64 x)) 1/2)
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 2 (expm1.f64 x))) 1))
(+.f64 (sqrt.f64 (+.f64 2 (expm1.f64 x))) 0)
(sqrt.f64 (+.f64 2 (expm1.f64 x)))
(pow.f64 (sqrt.f64 (+.f64 2 (expm1.f64 x))) 1)
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 2 (expm1.f64 x))) 1))
(+.f64 (sqrt.f64 (+.f64 2 (expm1.f64 x))) 0)
(sqrt.f64 (+.f64 2 (expm1.f64 x)))
(pow.f64 (pow.f64 (+.f64 2 (expm1.f64 x)) 3/2) 1/3)
(cbrt.f64 (pow.f64 (+.f64 2 (expm1.f64 x)) 3/2))
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 (expm1.f64 x)))) 3)
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 2 (expm1.f64 x))) 1))
(+.f64 (sqrt.f64 (+.f64 2 (expm1.f64 x))) 0)
(sqrt.f64 (+.f64 2 (expm1.f64 x)))
(pow.f64 (pow.f64 (+.f64 2 (expm1.f64 x)) 1/4) 2)
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 2 (expm1.f64 x))) 1))
(+.f64 (sqrt.f64 (+.f64 2 (expm1.f64 x))) 0)
(sqrt.f64 (+.f64 2 (expm1.f64 x)))
(fabs.f64 (sqrt.f64 (+.f64 2 (expm1.f64 x))))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 2 (expm1.f64 x))) 1))
(+.f64 (sqrt.f64 (+.f64 2 (expm1.f64 x))) 0)
(sqrt.f64 (+.f64 2 (expm1.f64 x)))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 2 (expm1.f64 x)))))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 2 (expm1.f64 x))) 1))
(+.f64 (sqrt.f64 (+.f64 2 (expm1.f64 x))) 0)
(sqrt.f64 (+.f64 2 (expm1.f64 x)))
(cbrt.f64 (pow.f64 (+.f64 2 (expm1.f64 x)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 2 (expm1.f64 x)))))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 2 (expm1.f64 x))) 1))
(+.f64 (sqrt.f64 (+.f64 2 (expm1.f64 x))) 0)
(sqrt.f64 (+.f64 2 (expm1.f64 x)))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 2 (expm1.f64 x)))))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 2 (expm1.f64 x))) 1))
(+.f64 (sqrt.f64 (+.f64 2 (expm1.f64 x))) 0)
(sqrt.f64 (+.f64 2 (expm1.f64 x)))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 2 (expm1.f64 x)))))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 2 (expm1.f64 x))) 1))
(+.f64 (sqrt.f64 (+.f64 2 (expm1.f64 x))) 0)
(sqrt.f64 (+.f64 2 (expm1.f64 x)))

localize2.0ms (0.1%)

Compiler

Compiled 4 to 4 computations (0% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 10 to 7 computations (30% saved)

series2.0ms (0.1%)

Counts
1 → 4
Calls

3 calls:

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

rewrite37.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
554×pow1_binary64
522×add-log-exp_binary64
521×log1p-expm1-u_binary64
521×expm1-log1p-u_binary64
512×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056
11116
213816
Stop Event
1×node limit
Counts
1 → 22
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 (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 (pow.f64 (+.f64 2 x) 1/4) (pow.f64 (+.f64 2 x) 1/4))))) (#(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 4 (*.f64 x x))) (sqrt.f64 (-.f64 2 x)))))) (#(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 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) 3/2) 1/3)))) (#(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) 1/4) 2)))) (#(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 log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (+.f64 2 x))))))))

simplify48.0ms (1.3%)

Algorithm
1×egg-herbie
Rules
451×fma-def_binary64
433×associate-*l*_binary64
415×associate-*r*_binary64
360×times-frac_binary64
359×associate-/l*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
080390
1177332
2456282
31486260
46109260
Stop Event
1×node limit
Counts
26 → 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 (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 (pow.f64 (+.f64 2 x) 1/4) (pow.f64 (+.f64 2 x) 1/4))
(*.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 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)))))
(pow.f64 (+.f64 2 x) 1/2)
(pow.f64 (sqrt.f64 (+.f64 2 x)) 1)
(pow.f64 (pow.f64 (+.f64 2 x) 3/2) 1/3)
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 x))) 3)
(pow.f64 (pow.f64 (+.f64 2 x) 1/4) 2)
(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))))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 2 x))))
(exp.f64 (log.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))
(fma.f64 (/.f64 1/2 (sqrt.f64 2)) 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) (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 (sqrt.f64 2) (fma.f64 1/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 5)) (fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (*.f64 -1/16 (/.f64 (*.f64 x x) (sqrt.f64 2))))))
(fma.f64 1/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 5)) (fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (fma.f64 -1/16 (/.f64 x (/.f64 (sqrt.f64 2) x)) (sqrt.f64 2))))
(+.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 (+.f64 1 (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 (+.f64 1 (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 (+.f64 1 (sqrt.f64 (+.f64 2 x))) -1)
(+.f64 (sqrt.f64 (+.f64 2 x)) 0)
(sqrt.f64 (+.f64 2 x))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 x))) (cbrt.f64 (+.f64 2 x)))
(*.f64 (cbrt.f64 (+.f64 2 x)) (cbrt.f64 (sqrt.f64 (+.f64 2 x))))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 x))) (cbrt.f64 (+.f64 2 x)))
(*.f64 (pow.f64 (+.f64 2 x) 1/4) (pow.f64 (+.f64 2 x) 1/4))
(+.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) -1)
(+.f64 (sqrt.f64 (+.f64 2 x)) 0)
(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 (+.f64 1 (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 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 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 (pow.f64 x 3) 8)) (sqrt.f64 (fma.f64 x (-.f64 x 2) 4)))
(pow.f64 (+.f64 2 x) 1/2)
(+.f64 (+.f64 1 (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 (+.f64 1 (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))
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 x))) 3)
(+.f64 (+.f64 1 (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 (+.f64 1 (sqrt.f64 (+.f64 2 x))) -1)
(+.f64 (sqrt.f64 (+.f64 2 x)) 0)
(sqrt.f64 (+.f64 2 x))
(fabs.f64 (sqrt.f64 (+.f64 2 x)))
(+.f64 (+.f64 1 (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 (+.f64 1 (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 (+.f64 1 (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 (+.f64 1 (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 (+.f64 1 (sqrt.f64 (+.f64 2 x))) -1)
(+.f64 (sqrt.f64 (+.f64 2 x)) 0)
(sqrt.f64 (+.f64 2 x))

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiled 23 to 15 computations (34.8% saved)

series3.0ms (0.1%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
2.0ms
x
@0
(sqrt.f64 (+.f64 (+.f64 2 (exp.f64 x)) -1))
0.0ms
x
@0
(+.f64 (+.f64 2 (exp.f64 x)) -1)
0.0ms
x
@inf
(sqrt.f64 (+.f64 (+.f64 2 (exp.f64 x)) -1))
0.0ms
x
@-inf
(sqrt.f64 (+.f64 (+.f64 2 (exp.f64 x)) -1))
0.0ms
x
@-inf
(+.f64 (+.f64 2 (exp.f64 x)) -1)

rewrite50.0ms (1.4%)

Algorithm
1×batch-egg-rewrite
Rules
915×pow1_binary64
856×add-log-exp_binary64
855×log1p-expm1-u_binary64
855×expm1-log1p-u_binary64
841×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0820
117414
2223714
Stop Event
1×node limit
Counts
2 → 60
Calls
Call 1
Inputs
(+.f64 (+.f64 2 (exp.f64 x)) -1)
(sqrt.f64 (+.f64 (+.f64 2 (exp.f64 x)) -1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 (exp.f64 x) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (+.f64 2 (exp.f64 x)) 2) (+.f64 (exp.f64 x) 3)) (/.f64 1 (+.f64 (exp.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (exp.f64 x) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)) (sqrt.f64 (+.f64 (exp.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (exp.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))) (sqrt.f64 (+.f64 (exp.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) 2) (cbrt.f64 (+.f64 (exp.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4) (*.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4) (sqrt.f64 (+.f64 (exp.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (pow.f64 (+.f64 2 (exp.f64 x)) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 2 (exp.f64 x)) 2) (-.f64 1 (*.f64 (+.f64 2 (exp.f64 x)) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 2 (exp.f64 x)) 2) -1) (/.f64 1 (+.f64 (exp.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)) (pow.f64 (+.f64 (exp.f64 x) 1) 1/4)) (pow.f64 (+.f64 (exp.f64 x) 1) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (+.f64 2 (exp.f64 x))) 1) (-.f64 (sqrt.f64 (+.f64 2 (exp.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)) (cbrt.f64 (+.f64 (exp.f64 x) 1))) (cbrt.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 2 (exp.f64 x)) 2) (-.f64 1 (*.f64 (+.f64 2 (exp.f64 x)) -1))) (+.f64 -1 (pow.f64 (+.f64 2 (exp.f64 x)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (exp.f64 x) 3) (+.f64 (pow.f64 (+.f64 2 (exp.f64 x)) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (pow.f64 (+.f64 2 (exp.f64 x)) 3)) (+.f64 (pow.f64 (+.f64 2 (exp.f64 x)) 2) (-.f64 1 (*.f64 (+.f64 2 (exp.f64 x)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (pow.f64 (+.f64 2 (exp.f64 x)) 3)) (+.f64 1 (-.f64 (pow.f64 (+.f64 2 (exp.f64 x)) 2) (*.f64 (+.f64 2 (exp.f64 x)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 2 (exp.f64 x)) 2) -1) (+.f64 (exp.f64 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 -1 (pow.f64 (+.f64 2 (exp.f64 x)) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 2 (exp.f64 x)) 2) (-.f64 1 (*.f64 (+.f64 2 (exp.f64 x)) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 2 (exp.f64 x)) 2) -1)) (neg.f64 (+.f64 (exp.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 8 (pow.f64 (+.f64 (exp.f64 x) -1) 3)) (+.f64 4 (-.f64 (*.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)) (*.f64 2 (+.f64 (exp.f64 x) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 4 (*.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1))) (-.f64 2 (+.f64 (exp.f64 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (+.f64 2 (exp.f64 x)) 2)) (-.f64 -1 (+.f64 2 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (exp.f64 x) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (exp.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (exp.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (exp.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 2 (exp.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 2 (exp.f64 x))) 2) (cbrt.f64 (+.f64 2 (exp.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 2 (exp.f64 x))) (sqrt.f64 (+.f64 2 (exp.f64 x))) -1)))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sqrt.f64 (+.f64 (exp.f64 x) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (+.f64 (exp.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))) (cbrt.f64 (+.f64 (exp.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) (cbrt.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4) (pow.f64 (+.f64 (exp.f64 x) 1) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 (exp.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 2 (exp.f64 x)) 2) -1)) (sqrt.f64 (+.f64 (exp.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 2 (exp.f64 x)) 3))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 2 (exp.f64 x)) 2) (-.f64 1 (*.f64 (+.f64 2 (exp.f64 x)) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (exp.f64 x) 1) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))))))

simplify59.0ms (1.6%)

Algorithm
1×egg-herbie
Rules
579×div-sub_binary64
499×fma-def_binary64
442×fma-neg_binary64
335×cancel-sign-sub-inv_binary64
222×sub-neg_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01731089
14391015
21487919
35222871
Stop Event
1×node limit
Counts
84 → 103
Calls
Call 1
Inputs
2
(+.f64 2 x)
(+.f64 2 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x)))
(+.f64 1 (exp.f64 x))
(+.f64 1 (exp.f64 x))
(+.f64 1 (exp.f64 x))
(+.f64 1 (exp.f64 x))
(+.f64 1 (exp.f64 x))
(+.f64 1 (exp.f64 x))
(+.f64 1 (exp.f64 x))
(+.f64 1 (exp.f64 x))
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 x 2)) (sqrt.f64 2))) (*.f64 1/2 (/.f64 x (sqrt.f64 2)))))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 1/6 (*.f64 1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2)))) (pow.f64 x 3)) (sqrt.f64 2))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 x 2)) (sqrt.f64 2))) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(-.f64 (+.f64 1 (+.f64 (exp.f64 x) 1)) 1)
(-.f64 (/.f64 (pow.f64 (+.f64 2 (exp.f64 x)) 2) (+.f64 (exp.f64 x) 3)) (/.f64 1 (+.f64 (exp.f64 x) 3)))
(*.f64 (+.f64 (exp.f64 x) 1) 1)
(*.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)) (sqrt.f64 (+.f64 (exp.f64 x) 1)))
(*.f64 1 (+.f64 (exp.f64 x) 1))
(*.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) 2))
(*.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))) (sqrt.f64 (+.f64 (exp.f64 x) 1))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) 2) (cbrt.f64 (+.f64 (exp.f64 x) 1)))
(*.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4) (*.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4) (sqrt.f64 (+.f64 (exp.f64 x) 1))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 2 (exp.f64 x)) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 2 (exp.f64 x)) 2) (-.f64 1 (*.f64 (+.f64 2 (exp.f64 x)) -1)))))
(*.f64 (+.f64 (pow.f64 (+.f64 2 (exp.f64 x)) 2) -1) (/.f64 1 (+.f64 (exp.f64 x) 3)))
(*.f64 (*.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)) (pow.f64 (+.f64 (exp.f64 x) 1) 1/4)) (pow.f64 (+.f64 (exp.f64 x) 1) 1/4))
(*.f64 (+.f64 (sqrt.f64 (+.f64 2 (exp.f64 x))) 1) (-.f64 (sqrt.f64 (+.f64 2 (exp.f64 x))) 1))
(*.f64 (*.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)) (cbrt.f64 (+.f64 (exp.f64 x) 1))) (cbrt.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 2 (exp.f64 x)) 2) (-.f64 1 (*.f64 (+.f64 2 (exp.f64 x)) -1))) (+.f64 -1 (pow.f64 (+.f64 2 (exp.f64 x)) 3))))
(/.f64 1 (/.f64 (+.f64 (exp.f64 x) 3) (+.f64 (pow.f64 (+.f64 2 (exp.f64 x)) 2) -1)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 2 (exp.f64 x)) 3)) (+.f64 (pow.f64 (+.f64 2 (exp.f64 x)) 2) (-.f64 1 (*.f64 (+.f64 2 (exp.f64 x)) -1))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 2 (exp.f64 x)) 3)) (+.f64 1 (-.f64 (pow.f64 (+.f64 2 (exp.f64 x)) 2) (*.f64 (+.f64 2 (exp.f64 x)) -1))))
(/.f64 (+.f64 (pow.f64 (+.f64 2 (exp.f64 x)) 2) -1) (+.f64 (exp.f64 x) 3))
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (+.f64 2 (exp.f64 x)) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 2 (exp.f64 x)) 2) (-.f64 1 (*.f64 (+.f64 2 (exp.f64 x)) -1)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 2 (exp.f64 x)) 2) -1)) (neg.f64 (+.f64 (exp.f64 x) 3)))
(/.f64 (+.f64 8 (pow.f64 (+.f64 (exp.f64 x) -1) 3)) (+.f64 4 (-.f64 (*.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)) (*.f64 2 (+.f64 (exp.f64 x) -1)))))
(/.f64 (-.f64 4 (*.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1))) (-.f64 2 (+.f64 (exp.f64 x) -1)))
(/.f64 (-.f64 1 (pow.f64 (+.f64 2 (exp.f64 x)) 2)) (-.f64 -1 (+.f64 2 (exp.f64 x))))
(pow.f64 (+.f64 (exp.f64 x) 1) 1)
(pow.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)) 2)
(pow.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 3) 1/3)
(pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) 3)
(sqrt.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 2))
(log.f64 (exp.f64 (+.f64 (exp.f64 x) 1)))
(cbrt.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 3))
(expm1.f64 (log1p.f64 (+.f64 (exp.f64 x) 1)))
(log1p.f64 (expm1.f64 (+.f64 (exp.f64 x) 1)))
(exp.f64 (log1p.f64 (exp.f64 x)))
(fma.f64 1 (+.f64 2 (exp.f64 x)) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 2 (exp.f64 x))) 2) (cbrt.f64 (+.f64 2 (exp.f64 x))) -1)
(fma.f64 (sqrt.f64 (+.f64 2 (exp.f64 x))) (sqrt.f64 (+.f64 2 (exp.f64 x))) -1)
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 (exp.f64 x) 1))) 1)
(*.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)) 1)
(*.f64 1 (sqrt.f64 (+.f64 (exp.f64 x) 1)))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))) (cbrt.f64 (+.f64 (exp.f64 x) 1)))
(*.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) (cbrt.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))))
(*.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4) (pow.f64 (+.f64 (exp.f64 x) 1) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 (exp.f64 x) 1)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) 1/2))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 2 (exp.f64 x)) 2) -1)) (sqrt.f64 (+.f64 (exp.f64 x) 3)))
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 2 (exp.f64 x)) 3))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 2 (exp.f64 x)) 2) (-.f64 1 (*.f64 (+.f64 2 (exp.f64 x)) -1)))))
(pow.f64 (+.f64 (exp.f64 x) 1) 1/2)
(pow.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)) 1)
(pow.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 3/2) 1/3)
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))) 3)
(pow.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4) 2)
(fabs.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))))
(cbrt.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))
Outputs
2
(+.f64 2 x)
(+.f64 2 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(+.f64 2 (fma.f64 1/2 (*.f64 x x) x))
(+.f64 2 (fma.f64 x (*.f64 x 1/2) x))
(fma.f64 x (*.f64 x 1/2) (+.f64 2 x))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x)))
(fma.f64 1/6 (pow.f64 x 3) (+.f64 2 (fma.f64 1/2 (*.f64 x x) x)))
(+.f64 (fma.f64 1/2 (*.f64 x x) x) (fma.f64 1/6 (pow.f64 x 3) 2))
(+.f64 x (fma.f64 1/6 (pow.f64 x 3) (fma.f64 x (*.f64 x 1/2) 2)))
(fma.f64 1/6 (pow.f64 x 3) (fma.f64 x (*.f64 x 1/2) (+.f64 2 x)))
(+.f64 1 (exp.f64 x))
(+.f64 2 (expm1.f64 x))
(+.f64 1 (exp.f64 x))
(+.f64 2 (expm1.f64 x))
(+.f64 1 (exp.f64 x))
(+.f64 2 (expm1.f64 x))
(+.f64 1 (exp.f64 x))
(+.f64 2 (expm1.f64 x))
(+.f64 1 (exp.f64 x))
(+.f64 2 (expm1.f64 x))
(+.f64 1 (exp.f64 x))
(+.f64 2 (expm1.f64 x))
(+.f64 1 (exp.f64 x))
(+.f64 2 (expm1.f64 x))
(+.f64 1 (exp.f64 x))
(+.f64 2 (expm1.f64 x))
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))
(fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (sqrt.f64 2))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 x 2)) (sqrt.f64 2))) (*.f64 1/2 (/.f64 x (sqrt.f64 2)))))
(+.f64 (sqrt.f64 2) (*.f64 1/2 (+.f64 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (/.f64 (sqrt.f64 2) (*.f64 x x))) (/.f64 x (sqrt.f64 2)))))
(fma.f64 1/2 (+.f64 (/.f64 x (sqrt.f64 2)) (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (/.f64 (sqrt.f64 2) (*.f64 x x)))) (sqrt.f64 2))
(fma.f64 1/2 (fma.f64 (-.f64 (/.f64 1/2 (sqrt.f64 2)) (/.f64 (/.f64 1/4 (sqrt.f64 2)) 2)) (*.f64 x x) (/.f64 x (sqrt.f64 2))) (sqrt.f64 2))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 1/6 (*.f64 1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2)))) (pow.f64 x 3)) (sqrt.f64 2))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 x 2)) (sqrt.f64 2))) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))))
(+.f64 (sqrt.f64 2) (fma.f64 1/2 (/.f64 (-.f64 1/6 (*.f64 1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2)))) (/.f64 (sqrt.f64 2) (pow.f64 x 3))) (*.f64 1/2 (+.f64 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (/.f64 (sqrt.f64 2) (*.f64 x x))) (/.f64 x (sqrt.f64 2))))))
(+.f64 (sqrt.f64 2) (fma.f64 1/2 (+.f64 (/.f64 x (sqrt.f64 2)) (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (/.f64 (sqrt.f64 2) (*.f64 x x)))) (/.f64 (*.f64 7/192 (pow.f64 x 3)) (sqrt.f64 2))))
(fma.f64 1/2 (fma.f64 (/.f64 7/96 (sqrt.f64 2)) (pow.f64 x 3) (fma.f64 (-.f64 (/.f64 1/2 (sqrt.f64 2)) (/.f64 (/.f64 1/4 (sqrt.f64 2)) 2)) (*.f64 x x) (/.f64 x (sqrt.f64 2)))) (sqrt.f64 2))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 2 (expm1.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 2 (expm1.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 2 (expm1.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 2 (expm1.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 2 (expm1.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 2 (expm1.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 2 (expm1.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 2 (expm1.f64 x)))
(-.f64 (+.f64 1 (+.f64 (exp.f64 x) 1)) 1)
(+.f64 1 (exp.f64 x))
(+.f64 2 (expm1.f64 x))
(-.f64 (/.f64 (pow.f64 (+.f64 2 (exp.f64 x)) 2) (+.f64 (exp.f64 x) 3)) (/.f64 1 (+.f64 (exp.f64 x) 3)))
(-.f64 (/.f64 (pow.f64 (+.f64 2 (exp.f64 x)) 2) (+.f64 3 (exp.f64 x))) (/.f64 1 (+.f64 3 (exp.f64 x))))
(+.f64 (/.f64 (pow.f64 (+.f64 2 (exp.f64 x)) 2) (+.f64 3 (exp.f64 x))) (/.f64 -1 (+.f64 3 (exp.f64 x))))
(/.f64 (+.f64 (pow.f64 (+.f64 2 (exp.f64 x)) 2) -1) (+.f64 3 (exp.f64 x)))
(/.f64 1 (/.f64 1 (+.f64 2 (expm1.f64 x))))
(*.f64 (+.f64 (exp.f64 x) 1) 1)
(+.f64 1 (exp.f64 x))
(+.f64 2 (expm1.f64 x))
(*.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)) (sqrt.f64 (+.f64 (exp.f64 x) 1)))
(+.f64 1 (exp.f64 x))
(+.f64 2 (expm1.f64 x))
(*.f64 1 (+.f64 (exp.f64 x) 1))
(+.f64 1 (exp.f64 x))
(+.f64 2 (expm1.f64 x))
(*.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) 2))
(+.f64 1 (exp.f64 x))
(+.f64 2 (expm1.f64 x))
(*.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))) (sqrt.f64 (+.f64 (exp.f64 x) 1))))
(+.f64 1 (exp.f64 x))
(+.f64 2 (expm1.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) 2) (cbrt.f64 (+.f64 (exp.f64 x) 1)))
(+.f64 1 (exp.f64 x))
(+.f64 2 (expm1.f64 x))
(*.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4) (*.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4) (sqrt.f64 (+.f64 (exp.f64 x) 1))))
(+.f64 1 (exp.f64 x))
(+.f64 2 (expm1.f64 x))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 2 (exp.f64 x)) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 2 (exp.f64 x)) 2) (-.f64 1 (*.f64 (+.f64 2 (exp.f64 x)) -1)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 2 (exp.f64 x)) 3)) (+.f64 (pow.f64 (+.f64 2 (exp.f64 x)) 2) (+.f64 1 (+.f64 2 (exp.f64 x)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 2 (exp.f64 x)) 3)) (fma.f64 (+.f64 2 (exp.f64 x)) (+.f64 3 (exp.f64 x)) 1))
(*.f64 (+.f64 (pow.f64 (+.f64 2 (exp.f64 x)) 2) -1) (/.f64 1 (+.f64 (exp.f64 x) 3)))
(-.f64 (/.f64 (pow.f64 (+.f64 2 (exp.f64 x)) 2) (+.f64 3 (exp.f64 x))) (/.f64 1 (+.f64 3 (exp.f64 x))))
(+.f64 (/.f64 (pow.f64 (+.f64 2 (exp.f64 x)) 2) (+.f64 3 (exp.f64 x))) (/.f64 -1 (+.f64 3 (exp.f64 x))))
(/.f64 (+.f64 (pow.f64 (+.f64 2 (exp.f64 x)) 2) -1) (+.f64 3 (exp.f64 x)))
(/.f64 1 (/.f64 1 (+.f64 2 (expm1.f64 x))))
(*.f64 (*.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)) (pow.f64 (+.f64 (exp.f64 x) 1) 1/4)) (pow.f64 (+.f64 (exp.f64 x) 1) 1/4))
(+.f64 1 (exp.f64 x))
(+.f64 2 (expm1.f64 x))
(*.f64 (+.f64 (sqrt.f64 (+.f64 2 (exp.f64 x))) 1) (-.f64 (sqrt.f64 (+.f64 2 (exp.f64 x))) 1))
(+.f64 1 (exp.f64 x))
(+.f64 2 (expm1.f64 x))
(*.f64 (*.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)) (cbrt.f64 (+.f64 (exp.f64 x) 1))) (cbrt.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))))
(+.f64 1 (exp.f64 x))
(+.f64 2 (expm1.f64 x))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 2 (exp.f64 x)) 2) (-.f64 1 (*.f64 (+.f64 2 (exp.f64 x)) -1))) (+.f64 -1 (pow.f64 (+.f64 2 (exp.f64 x)) 3))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 2 (exp.f64 x)) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 2 (exp.f64 x)) 2) (-.f64 1 (*.f64 (+.f64 2 (exp.f64 x)) -1)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 2 (exp.f64 x)) 3)) (+.f64 (pow.f64 (+.f64 2 (exp.f64 x)) 2) (+.f64 1 (+.f64 2 (exp.f64 x)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 2 (exp.f64 x)) 3)) (fma.f64 (+.f64 2 (exp.f64 x)) (+.f64 3 (exp.f64 x)) 1))
(/.f64 1 (/.f64 (+.f64 (exp.f64 x) 3) (+.f64 (pow.f64 (+.f64 2 (exp.f64 x)) 2) -1)))
(-.f64 (/.f64 (pow.f64 (+.f64 2 (exp.f64 x)) 2) (+.f64 3 (exp.f64 x))) (/.f64 1 (+.f64 3 (exp.f64 x))))
(+.f64 (/.f64 (pow.f64 (+.f64 2 (exp.f64 x)) 2) (+.f64 3 (exp.f64 x))) (/.f64 -1 (+.f64 3 (exp.f64 x))))
(/.f64 (+.f64 (pow.f64 (+.f64 2 (exp.f64 x)) 2) -1) (+.f64 3 (exp.f64 x)))
(/.f64 1 (/.f64 1 (+.f64 2 (expm1.f64 x))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 2 (exp.f64 x)) 3)) (+.f64 (pow.f64 (+.f64 2 (exp.f64 x)) 2) (-.f64 1 (*.f64 (+.f64 2 (exp.f64 x)) -1))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 2 (exp.f64 x)) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 2 (exp.f64 x)) 2) (-.f64 1 (*.f64 (+.f64 2 (exp.f64 x)) -1)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 2 (exp.f64 x)) 3)) (+.f64 (pow.f64 (+.f64 2 (exp.f64 x)) 2) (+.f64 1 (+.f64 2 (exp.f64 x)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 2 (exp.f64 x)) 3)) (fma.f64 (+.f64 2 (exp.f64 x)) (+.f64 3 (exp.f64 x)) 1))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 2 (exp.f64 x)) 3)) (+.f64 1 (-.f64 (pow.f64 (+.f64 2 (exp.f64 x)) 2) (*.f64 (+.f64 2 (exp.f64 x)) -1))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 2 (exp.f64 x)) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 2 (exp.f64 x)) 2) (-.f64 1 (*.f64 (+.f64 2 (exp.f64 x)) -1)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 2 (exp.f64 x)) 3)) (+.f64 (pow.f64 (+.f64 2 (exp.f64 x)) 2) (+.f64 1 (+.f64 2 (exp.f64 x)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 2 (exp.f64 x)) 3)) (fma.f64 (+.f64 2 (exp.f64 x)) (+.f64 3 (exp.f64 x)) 1))
(/.f64 (+.f64 (pow.f64 (+.f64 2 (exp.f64 x)) 2) -1) (+.f64 (exp.f64 x) 3))
(-.f64 (/.f64 (pow.f64 (+.f64 2 (exp.f64 x)) 2) (+.f64 3 (exp.f64 x))) (/.f64 1 (+.f64 3 (exp.f64 x))))
(+.f64 (/.f64 (pow.f64 (+.f64 2 (exp.f64 x)) 2) (+.f64 3 (exp.f64 x))) (/.f64 -1 (+.f64 3 (exp.f64 x))))
(/.f64 (+.f64 (pow.f64 (+.f64 2 (exp.f64 x)) 2) -1) (+.f64 3 (exp.f64 x)))
(/.f64 1 (/.f64 1 (+.f64 2 (expm1.f64 x))))
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (+.f64 2 (exp.f64 x)) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 2 (exp.f64 x)) 2) (-.f64 1 (*.f64 (+.f64 2 (exp.f64 x)) -1)))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 2 (exp.f64 x)) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 2 (exp.f64 x)) 2) (-.f64 1 (*.f64 (+.f64 2 (exp.f64 x)) -1)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 2 (exp.f64 x)) 3)) (+.f64 (pow.f64 (+.f64 2 (exp.f64 x)) 2) (+.f64 1 (+.f64 2 (exp.f64 x)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 2 (exp.f64 x)) 3)) (fma.f64 (+.f64 2 (exp.f64 x)) (+.f64 3 (exp.f64 x)) 1))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 2 (exp.f64 x)) 2) -1)) (neg.f64 (+.f64 (exp.f64 x) 3)))
(-.f64 (/.f64 (pow.f64 (+.f64 2 (exp.f64 x)) 2) (+.f64 3 (exp.f64 x))) (/.f64 1 (+.f64 3 (exp.f64 x))))
(+.f64 (/.f64 (pow.f64 (+.f64 2 (exp.f64 x)) 2) (+.f64 3 (exp.f64 x))) (/.f64 -1 (+.f64 3 (exp.f64 x))))
(/.f64 (+.f64 (pow.f64 (+.f64 2 (exp.f64 x)) 2) -1) (+.f64 3 (exp.f64 x)))
(/.f64 1 (/.f64 1 (+.f64 2 (expm1.f64 x))))
(/.f64 (+.f64 8 (pow.f64 (+.f64 (exp.f64 x) -1) 3)) (+.f64 4 (-.f64 (*.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)) (*.f64 2 (+.f64 (exp.f64 x) -1)))))
(/.f64 (+.f64 8 (pow.f64 (+.f64 (exp.f64 x) -1) 3)) (+.f64 4 (*.f64 (+.f64 (exp.f64 x) -1) (-.f64 (+.f64 (exp.f64 x) -1) 2))))
(/.f64 (+.f64 8 (pow.f64 (+.f64 (exp.f64 x) -1) 3)) (fma.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -3) 4))
(/.f64 (+.f64 8 (pow.f64 (expm1.f64 x) 3)) (fma.f64 (expm1.f64 x) (+.f64 (exp.f64 x) -3) 4))
(/.f64 (-.f64 4 (*.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1))) (-.f64 2 (+.f64 (exp.f64 x) -1)))
(/.f64 (-.f64 4 (*.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1))) (-.f64 (-.f64 2 (exp.f64 x)) -1))
(/.f64 (-.f64 4 (*.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1))) (-.f64 3 (exp.f64 x)))
(/.f64 (-.f64 4 (*.f64 (expm1.f64 x) (expm1.f64 x))) (-.f64 2 (expm1.f64 x)))
(/.f64 (-.f64 1 (pow.f64 (+.f64 2 (exp.f64 x)) 2)) (-.f64 -1 (+.f64 2 (exp.f64 x))))
(-.f64 (/.f64 (pow.f64 (+.f64 2 (exp.f64 x)) 2) (+.f64 3 (exp.f64 x))) (/.f64 1 (+.f64 3 (exp.f64 x))))
(+.f64 (/.f64 (pow.f64 (+.f64 2 (exp.f64 x)) 2) (+.f64 3 (exp.f64 x))) (/.f64 -1 (+.f64 3 (exp.f64 x))))
(/.f64 (+.f64 (pow.f64 (+.f64 2 (exp.f64 x)) 2) -1) (+.f64 3 (exp.f64 x)))
(/.f64 1 (/.f64 1 (+.f64 2 (expm1.f64 x))))
(pow.f64 (+.f64 (exp.f64 x) 1) 1)
(+.f64 1 (exp.f64 x))
(+.f64 2 (expm1.f64 x))
(pow.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)) 2)
(+.f64 1 (exp.f64 x))
(+.f64 2 (expm1.f64 x))
(pow.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 2) 1/2)
(+.f64 1 (exp.f64 x))
(+.f64 2 (expm1.f64 x))
(pow.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 3) 1/3)
(+.f64 1 (exp.f64 x))
(+.f64 2 (expm1.f64 x))
(pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) 3)
(+.f64 1 (exp.f64 x))
(+.f64 2 (expm1.f64 x))
(sqrt.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 2))
(+.f64 1 (exp.f64 x))
(+.f64 2 (expm1.f64 x))
(log.f64 (exp.f64 (+.f64 (exp.f64 x) 1)))
(+.f64 1 (exp.f64 x))
(+.f64 2 (expm1.f64 x))
(cbrt.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 3))
(+.f64 1 (exp.f64 x))
(+.f64 2 (expm1.f64 x))
(expm1.f64 (log1p.f64 (+.f64 (exp.f64 x) 1)))
(+.f64 1 (exp.f64 x))
(+.f64 2 (expm1.f64 x))
(log1p.f64 (expm1.f64 (+.f64 (exp.f64 x) 1)))
(+.f64 1 (exp.f64 x))
(+.f64 2 (expm1.f64 x))
(exp.f64 (log1p.f64 (exp.f64 x)))
(fma.f64 1 (+.f64 2 (exp.f64 x)) -1)
(+.f64 1 (exp.f64 x))
(+.f64 2 (expm1.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 2 (exp.f64 x))) 2) (cbrt.f64 (+.f64 2 (exp.f64 x))) -1)
(+.f64 1 (exp.f64 x))
(+.f64 2 (expm1.f64 x))
(fma.f64 (sqrt.f64 (+.f64 2 (exp.f64 x))) (sqrt.f64 (+.f64 2 (exp.f64 x))) -1)
(+.f64 1 (exp.f64 x))
(+.f64 2 (expm1.f64 x))
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 (exp.f64 x) 1))) 1)
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 2 (expm1.f64 x)))
(*.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)) 1)
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 2 (expm1.f64 x)))
(*.f64 1 (sqrt.f64 (+.f64 (exp.f64 x) 1)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 2 (expm1.f64 x)))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))) (cbrt.f64 (+.f64 (exp.f64 x) 1)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 2 (expm1.f64 x)))
(*.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) (cbrt.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 2 (expm1.f64 x)))
(*.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4) (pow.f64 (+.f64 (exp.f64 x) 1) 1/4))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 2 (expm1.f64 x)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1))))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 2 (expm1.f64 x)))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 (exp.f64 x) 1)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 2 (expm1.f64 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) 1/2))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 2 (expm1.f64 x)))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 2 (exp.f64 x)) 2) -1)) (sqrt.f64 (+.f64 (exp.f64 x) 3)))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 2 (exp.f64 x)) 2) -1)) (sqrt.f64 (+.f64 3 (exp.f64 x))))
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 2 (exp.f64 x)) 3))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 2 (exp.f64 x)) 2) (-.f64 1 (*.f64 (+.f64 2 (exp.f64 x)) -1)))))
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 2 (exp.f64 x)) 3))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 2 (exp.f64 x)) 2) (+.f64 1 (+.f64 2 (exp.f64 x))))))
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 2 (exp.f64 x)) 3))) (sqrt.f64 (fma.f64 (+.f64 2 (exp.f64 x)) (+.f64 3 (exp.f64 x)) 1)))
(pow.f64 (+.f64 (exp.f64 x) 1) 1/2)
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 2 (expm1.f64 x)))
(pow.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)) 1)
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 2 (expm1.f64 x)))
(pow.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 3/2) 1/3)
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 2 (expm1.f64 x)))
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))) 3)
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 2 (expm1.f64 x)))
(pow.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4) 2)
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 2 (expm1.f64 x)))
(fabs.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 2 (expm1.f64 x)))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 2 (expm1.f64 x)))
(cbrt.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 3/2))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 2 (expm1.f64 x)))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 2 (expm1.f64 x)))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 2 (expm1.f64 x)))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))
(pow.f64 (exp.f64 (log1p.f64 (exp.f64 x))) 1/2)
(sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x))))

localize14.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

series2.0ms (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 1 (sqrt.f64 (+.f64 1 (exp.f64 x))))
0.0ms
x
@inf
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 1)

rewrite53.0ms (1.5%)

Algorithm
1×batch-egg-rewrite
Rules
889×pow1_binary64
832×add-log-exp_binary64
832×log1p-expm1-u_binary64
832×expm1-log1p-u_binary64
816×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0825
117919
2259019
Stop Event
1×node limit
Counts
2 → 79
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 1 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 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 -1 (+.f64 1 (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 (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 (cbrt.f64 (+.f64 1 (exp.f64 x))) (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (cbrt.f64 (+.f64 1 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (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 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 2) (+.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((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)))))) (#(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 (+.f64 (hypot.f64 1 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)) 1) (-.f64 (hypot.f64 1 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 2) (+.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 2)) (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 2) (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (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)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (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 1 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 2) -1) (+.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 2) -1) (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) -1))))) (#(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 /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 2) (+.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 2) -1)) (neg.f64 (+.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (expm1.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2)) 3)) (+.f64 1 (-.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2)) (expm1.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))) (expm1.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2)) (expm1.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2)))) (-.f64 1 (expm1.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))))))) (#(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 (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)) 1/4) 2)))) (#(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 sqrt.f64 (+.f64 1 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 1 (sqrt.f64 (exp.f64 x)))))) (#(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 log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 1 (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 fma.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x 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)))) (#(struct:change #<rule egg-rr> (2) ((x 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)))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.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))))))))) (#(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 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))))) 2) (*.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (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))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2)) (/.f64 1 (+.f64 1 (-.f64 (+.f64 1 (exp.f64 x)) (sqrt.f64 (+.f64 1 (exp.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 0 (exp.f64 x)) (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (-.f64 (+.f64 1 (exp.f64 x)) (sqrt.f64 (+.f64 1 (exp.f64 x))))) (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (-.f64 0 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (exp.f64 x) (expm1.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2)) (+.f64 1 (-.f64 (+.f64 1 (exp.f64 x)) (sqrt.f64 (+.f64 1 (exp.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2)) (+.f64 (+.f64 1 (exp.f64 x)) (-.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 0 (exp.f64 x)) (-.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2))) (neg.f64 (+.f64 1 (-.f64 (+.f64 1 (exp.f64 x)) (sqrt.f64 (+.f64 1 (exp.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 0 (exp.f64 x))) (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2)) 1) (+.f64 1 (-.f64 (+.f64 1 (exp.f64 x)) (sqrt.f64 (+.f64 1 (exp.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 0 (exp.f64 x)) 1) (-.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 1 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) 1)))))

simplify54.0ms (1.5%)

Algorithm
1×egg-herbie
Rules
738×fma-def_binary64
375×times-frac_binary64
315×cancel-sign-sub-inv_binary64
306×distribute-rgt-in_binary64
266×distribute-lft-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02061811
14911669
216911651
Stop Event
1×node limit
Counts
95 → 138
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 1 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2)) 1))
(+.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 0)
(+.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) -1)
(+.f64 -1 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(+.f64 (expm1.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2)) 1)
(*.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1)
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (cbrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) (pow.f64 (+.f64 1 (exp.f64 x)) 1/4))
(*.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 3) -1) (/.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 (+.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 (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 (+.f64 (hypot.f64 1 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)) 1) (-.f64 (hypot.f64 1 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)) 1))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 2) (+.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 2)) (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 3) -1)))
(/.f64 1 (/.f64 (+.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 (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 (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 1 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) -1))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 2) -1) (+.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 2))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 2) -1) (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) -1))
(/.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))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 2) (+.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 2) -1)) (neg.f64 (+.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 2)))
(/.f64 (+.f64 1 (pow.f64 (expm1.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2)) 3)) (+.f64 1 (-.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2)) (expm1.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))) (expm1.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2)))))
(/.f64 (-.f64 1 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2)) (expm1.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2)))) (-.f64 1 (expm1.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))))
(pow.f64 (+.f64 1 (exp.f64 x)) 1/2)
(pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 3)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) 2)
(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)))))
(cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))
(fma.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) -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)
(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)
(-.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 1 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 1)
(*.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 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))))) 2) (*.f64 (cbrt.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 (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 1 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2)) (/.f64 1 (+.f64 1 (-.f64 (+.f64 1 (exp.f64 x)) (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 1 (/.f64 (+.f64 1 (-.f64 (+.f64 1 (exp.f64 x)) (sqrt.f64 (+.f64 1 (exp.f64 x))))) (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2))))
(/.f64 1 (/.f64 (-.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (-.f64 0 (exp.f64 x))))
(/.f64 (exp.f64 x) (expm1.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2)) (+.f64 1 (-.f64 (+.f64 1 (exp.f64 x)) (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2)) (+.f64 (+.f64 1 (exp.f64 x)) (-.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(/.f64 (-.f64 0 (exp.f64 x)) (-.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 1 (-.f64 (+.f64 1 (exp.f64 x)) (sqrt.f64 (+.f64 1 (exp.f64 x)))))))
(/.f64 (neg.f64 (-.f64 0 (exp.f64 x))) (neg.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 1 (-.f64 (+.f64 1 (exp.f64 x)) (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(/.f64 (*.f64 (-.f64 0 (exp.f64 x)) 1) (-.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 1)
(pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))))) 3)
(pow.f64 (hypot.f64 1 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)) 2)
(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))))))
(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)))
(log1p.f64 (expm1.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(fma.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1)
(fma.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (cbrt.f64 (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)
Outputs
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))
(fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (sqrt.f64 2))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 x 2)) (sqrt.f64 2))) (*.f64 1/2 (/.f64 x (sqrt.f64 2)))))
(+.f64 (sqrt.f64 2) (*.f64 1/2 (+.f64 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (/.f64 (sqrt.f64 2) (*.f64 x x))) (/.f64 x (sqrt.f64 2)))))
(fma.f64 1/2 (+.f64 (/.f64 x (sqrt.f64 2)) (*.f64 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (sqrt.f64 2)) (*.f64 x x))) (sqrt.f64 2))
(fma.f64 1/2 (fma.f64 (-.f64 (/.f64 1/2 (sqrt.f64 2)) (/.f64 (/.f64 1/4 (sqrt.f64 2)) 2)) (*.f64 x x) (/.f64 x (sqrt.f64 2))) (sqrt.f64 2))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 1/6 (*.f64 1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2)))) (pow.f64 x 3)) (sqrt.f64 2))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 x 2)) (sqrt.f64 2))) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))))
(+.f64 (sqrt.f64 2) (fma.f64 1/2 (/.f64 (-.f64 1/6 (*.f64 1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2)))) (/.f64 (sqrt.f64 2) (pow.f64 x 3))) (*.f64 1/2 (+.f64 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (/.f64 (sqrt.f64 2) (*.f64 x x))) (/.f64 x (sqrt.f64 2))))))
(+.f64 (sqrt.f64 2) (fma.f64 1/2 (+.f64 (/.f64 x (sqrt.f64 2)) (*.f64 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (sqrt.f64 2)) (*.f64 x x))) (/.f64 (*.f64 7/192 (pow.f64 x 3)) (sqrt.f64 2))))
(fma.f64 1/2 (fma.f64 (/.f64 7/96 (sqrt.f64 2)) (pow.f64 x 3) (fma.f64 (-.f64 (/.f64 1/2 (sqrt.f64 2)) (/.f64 (/.f64 1/4 (sqrt.f64 2)) 2)) (*.f64 x x) (/.f64 x (sqrt.f64 2)))) (sqrt.f64 2))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 2 (expm1.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 2 (expm1.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 2 (expm1.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 2 (expm1.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 2 (expm1.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 2 (expm1.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 2 (expm1.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 2 (expm1.f64 x)))
(+.f64 (sqrt.f64 2) 1)
(+.f64 (sqrt.f64 2) (+.f64 1 (*.f64 1/2 (/.f64 x (sqrt.f64 2)))))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 1/2 (/.f64 x (sqrt.f64 2))) 1))
(+.f64 (fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (sqrt.f64 2)) 1)
(+.f64 (sqrt.f64 2) (fma.f64 1/2 (/.f64 x (sqrt.f64 2)) 1))
(+.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 (*.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)))) 1))
(+.f64 (sqrt.f64 2) (fma.f64 1/2 (+.f64 (/.f64 x (sqrt.f64 2)) (*.f64 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (sqrt.f64 2)) (*.f64 x x))) 1))
(+.f64 (sqrt.f64 2) (fma.f64 1/2 (fma.f64 (-.f64 (/.f64 1/2 (sqrt.f64 2)) (/.f64 (/.f64 1/4 (sqrt.f64 2)) 2)) (*.f64 x x) (/.f64 x (sqrt.f64 2))) 1))
(+.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 (sqrt.f64 2) (+.f64 (fma.f64 1/2 (/.f64 (-.f64 1/6 (*.f64 1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2)))) (/.f64 (sqrt.f64 2) (pow.f64 x 3))) (*.f64 1/2 (+.f64 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (/.f64 (sqrt.f64 2) (*.f64 x x))) (/.f64 x (sqrt.f64 2))))) 1))
(+.f64 (sqrt.f64 2) (+.f64 (/.f64 (*.f64 7/192 (pow.f64 x 3)) (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))) 1)))
(+.f64 (sqrt.f64 2) (fma.f64 1/2 (fma.f64 (/.f64 7/96 (sqrt.f64 2)) (pow.f64 x 3) (fma.f64 (-.f64 (/.f64 1/2 (sqrt.f64 2)) (/.f64 (/.f64 1/4 (sqrt.f64 2)) 2)) (*.f64 x x) (/.f64 x (sqrt.f64 2)))) 1))
(+.f64 1 (expm1.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2)))
(+.f64 1 (expm1.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x)))))
(+.f64 1 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2)) 1))
(+.f64 1 (expm1.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x)))))
(+.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 0)
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 2 (expm1.f64 x)))
(+.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) -1)
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 2 (expm1.f64 x)))
(+.f64 -1 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 2 (expm1.f64 x)))
(+.f64 (expm1.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2)) 1)
(+.f64 1 (expm1.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x)))))
(*.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 2 (expm1.f64 x)))
(*.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1)
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 2 (expm1.f64 x)))
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(*.f64 (cbrt.f64 (+.f64 2 (expm1.f64 x))) (cbrt.f64 (sqrt.f64 (+.f64 2 (expm1.f64 x)))))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (cbrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(*.f64 (cbrt.f64 (+.f64 2 (expm1.f64 x))) (cbrt.f64 (sqrt.f64 (+.f64 2 (expm1.f64 x)))))
(*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) (pow.f64 (+.f64 1 (exp.f64 x)) 1/4))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 2 (expm1.f64 x)))
(*.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 3) -1) (/.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 (+.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 2 (sqrt.f64 (+.f64 1 (exp.f64 x)))))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 3)) (+.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) (+.f64 2 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 (expm1.f64 x)))) 3)) (+.f64 1 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 2 (expm1.f64 x)))) (+.f64 2 (sqrt.f64 (+.f64 2 (expm1.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)))) 2)) (/.f64 1 (+.f64 2 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 2)) (+.f64 2 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
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(/.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 2 (expm1.f64 x)) 3/2)) (+.f64 (exp.f64 x) (-.f64 2 (sqrt.f64 (+.f64 2 (expm1.f64 x))))))
(/.f64 (-.f64 0 (exp.f64 x)) (-.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(/.f64 (neg.f64 (exp.f64 x)) (-.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(/.f64 (exp.f64 x) (+.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) -1))
(/.f64 (exp.f64 x) (+.f64 (sqrt.f64 (+.f64 2 (expm1.f64 x))) -1))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2))) (neg.f64 (+.f64 1 (-.f64 (+.f64 1 (exp.f64 x)) (sqrt.f64 (+.f64 1 (exp.f64 x)))))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2)) (+.f64 1 (+.f64 1 (-.f64 (exp.f64 x) (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 2 (expm1.f64 x)) 3/2)) (+.f64 (exp.f64 x) (-.f64 2 (sqrt.f64 (+.f64 2 (expm1.f64 x))))))
(/.f64 (neg.f64 (-.f64 0 (exp.f64 x))) (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(/.f64 (neg.f64 (exp.f64 x)) (-.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(/.f64 (exp.f64 x) (+.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) -1))
(/.f64 (exp.f64 x) (+.f64 (sqrt.f64 (+.f64 2 (expm1.f64 x))) -1))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2)) 1) (+.f64 1 (-.f64 (+.f64 1 (exp.f64 x)) (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2)) (+.f64 1 (+.f64 1 (-.f64 (exp.f64 x) (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 2 (expm1.f64 x)) 3/2)) (+.f64 (exp.f64 x) (-.f64 2 (sqrt.f64 (+.f64 2 (expm1.f64 x))))))
(/.f64 (*.f64 (-.f64 0 (exp.f64 x)) 1) (-.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(/.f64 (neg.f64 (exp.f64 x)) (-.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(/.f64 (exp.f64 x) (+.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) -1))
(/.f64 (exp.f64 x) (+.f64 (sqrt.f64 (+.f64 2 (expm1.f64 x))) -1))
(pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 1)
(+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))))
(+.f64 1 (sqrt.f64 (+.f64 2 (expm1.f64 x))))
(pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))))) 3)
(+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))))
(+.f64 1 (sqrt.f64 (+.f64 2 (expm1.f64 x))))
(pow.f64 (hypot.f64 1 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)) 2)
(+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))))
(+.f64 1 (sqrt.f64 (+.f64 2 (expm1.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))))
(+.f64 1 (sqrt.f64 (+.f64 2 (expm1.f64 x))))
(sqrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 2))
(+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))))
(+.f64 1 (sqrt.f64 (+.f64 2 (expm1.f64 x))))
(log.f64 (exp.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))))
(+.f64 1 (sqrt.f64 (+.f64 2 (expm1.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))))
(+.f64 1 (sqrt.f64 (+.f64 2 (expm1.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))))))
(expm1.f64 (log1p.f64 (+.f64 1 (sqrt.f64 (+.f64 2 (expm1.f64 x))))))
(log1p.f64 (expm1.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))))
(+.f64 1 (sqrt.f64 (+.f64 2 (expm1.f64 x))))
(exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(exp.f64 (log1p.f64 (sqrt.f64 (+.f64 2 (expm1.f64 x)))))
(fma.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1)
(+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))))
(+.f64 1 (sqrt.f64 (+.f64 2 (expm1.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 (+.f64 2 (expm1.f64 x))) (cbrt.f64 (sqrt.f64 (+.f64 2 (expm1.f64 x)))) 1)
(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))))
(+.f64 1 (sqrt.f64 (+.f64 2 (expm1.f64 x))))

eval168.0ms (4.6%)

Compiler

Compiled 6621 to 5150 computations (22.2% saved)

prune52.0ms (1.4%)

Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New4261427
Fresh000
Picked101
Done044
Total4275432
Error
0b
Counts
432 → 5
Alt Table
Click to see full alt table
StatusErrorProgram
▶19.2b
(-.f64 (+.f64 (sqrt.f64 2) 1) 1)
✓0.0b
(sqrt.f64 (+.f64 (+.f64 2 (exp.f64 x)) -1))
✓0.0b
(sqrt.f64 (+.f64 2 (expm1.f64 x)))
✓22.9b
(sqrt.f64 (+.f64 2 x))
✓18.6b
(sqrt.f64 2)
Compiler

Compiled 29 to 26 computations (10.3% saved)

localize16.0ms (0.4%)

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

rewrite44.0ms (1.2%)

Algorithm
1×batch-egg-rewrite
Rules
543×pow1_binary64
516×add-log-exp_binary64
515×log1p-expm1-u_binary64
515×expm1-log1p-u_binary64
507×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
066
11383
217493
Stop Event
1×node limit
Counts
1 → 42
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 (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 (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 (+.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 (+.f64 (sqrt.f64 2) 2) (sqrt.f64 2)) (/.f64 1 (+.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 (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 1 (/.f64 (+.f64 (sqrt.f64 2) 2) (*.f64 (+.f64 (sqrt.f64 2) 2) (sqrt.f64 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 (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 (pow.f64 2 3/2) (+.f64 2 (-.f64 0 (*.f64 (sqrt.f64 2) 0))))))) (#(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 (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 /.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 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 (cbrt.f64 (sqrt.f64 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 2 1/4) 2)))) (#(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 log1p.f64 (expm1.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 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 (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)))) (#(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)))))

simplify63.0ms (1.7%)

Algorithm
1×egg-herbie
Rules
518×log-prod_binary64
453×times-frac_binary64
404×exp-prod_binary64
374×distribute-rgt-in_binary64
325×distribute-lft-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
091322
1219307
2818297
36597297
Stop Event
1×node limit
Counts
42 → 47
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 (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 (pow.f64 2 1/4) (pow.f64 2 1/4))
(*.f64 (pow.f64 2 1/4) (*.f64 (pow.f64 2 1/4) 1))
(*.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 (+.f64 (sqrt.f64 2) 2) (sqrt.f64 2)) (/.f64 1 (+.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 (pow.f64 (+.f64 (sqrt.f64 2) 1) 2) (+.f64 (sqrt.f64 2) 2)) (+.f64 (pow.f64 (+.f64 (sqrt.f64 2) 1) 3) -1)))
(/.f64 1 (/.f64 (+.f64 (sqrt.f64 2) 2) (*.f64 (+.f64 (sqrt.f64 2) 2) (sqrt.f64 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 (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 (pow.f64 2 3/2) (+.f64 2 (-.f64 0 (*.f64 (sqrt.f64 2) 0))))
(/.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 (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 (neg.f64 (*.f64 (+.f64 (sqrt.f64 2) 2) (sqrt.f64 2))) (neg.f64 (+.f64 (sqrt.f64 2) 2)))
(pow.f64 2 1/2)
(pow.f64 (sqrt.f64 2) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 2)) 3)
(pow.f64 (pow.f64 2 1/4) 2)
(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)))
(log1p.f64 (expm1.f64 (sqrt.f64 2)))
(exp.f64 (log.f64 (sqrt.f64 2)))
(fma.f64 1 (sqrt.f64 2) 0)
(fma.f64 1 (+.f64 (sqrt.f64 2) 1) -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)
(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)
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 (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 (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 (+.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 (pow.f64 (+.f64 (sqrt.f64 2) 1) 2) (+.f64 2 (sqrt.f64 2)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (sqrt.f64 2) 1) 3)) (+.f64 (sqrt.f64 2) (+.f64 2 (pow.f64 (+.f64 (sqrt.f64 2) 1) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (sqrt.f64 2) 1) 3)) (+.f64 3 (+.f64 (+.f64 2 (pow.f64 2 3/2)) (sqrt.f64 2))))
(*.f64 (*.f64 (+.f64 (sqrt.f64 2) 2) (sqrt.f64 2)) (/.f64 1 (+.f64 (sqrt.f64 2) 2)))
(sqrt.f64 2)
(*.f64 (+.f64 (hypot.f64 1 (pow.f64 2 1/4)) 1) (-.f64 (hypot.f64 1 (pow.f64 2 1/4)) 1))
(sqrt.f64 2)
(/.f64 2 (-.f64 (sqrt.f64 2) 0))
(/.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 (pow.f64 (+.f64 (sqrt.f64 2) 1) 2) (+.f64 2 (sqrt.f64 2)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (sqrt.f64 2) 1) 3)) (+.f64 (sqrt.f64 2) (+.f64 2 (pow.f64 (+.f64 (sqrt.f64 2) 1) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (sqrt.f64 2) 1) 3)) (+.f64 3 (+.f64 (+.f64 2 (pow.f64 2 3/2)) (sqrt.f64 2))))
(/.f64 1 (/.f64 (+.f64 (sqrt.f64 2) 2) (*.f64 (+.f64 (sqrt.f64 2) 2) (sqrt.f64 2))))
(sqrt.f64 2)
(/.f64 (+.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 (pow.f64 (+.f64 (sqrt.f64 2) 1) 2) (+.f64 2 (sqrt.f64 2)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (sqrt.f64 2) 1) 3)) (+.f64 (sqrt.f64 2) (+.f64 2 (pow.f64 (+.f64 (sqrt.f64 2) 1) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (sqrt.f64 2) 1) 3)) (+.f64 3 (+.f64 (+.f64 2 (pow.f64 2 3/2)) (sqrt.f64 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 (+.f64 -1 (pow.f64 (+.f64 (sqrt.f64 2) 1) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 (sqrt.f64 2) 1) 2) (+.f64 2 (sqrt.f64 2)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (sqrt.f64 2) 1) 3)) (+.f64 (sqrt.f64 2) (+.f64 2 (pow.f64 (+.f64 (sqrt.f64 2) 1) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (sqrt.f64 2) 1) 3)) (+.f64 3 (+.f64 (+.f64 2 (pow.f64 2 3/2)) (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 (+.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 (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 (pow.f64 (+.f64 (sqrt.f64 2) 1) 2) (+.f64 2 (sqrt.f64 2)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (sqrt.f64 2) 1) 3)) (+.f64 (sqrt.f64 2) (+.f64 2 (pow.f64 (+.f64 (sqrt.f64 2) 1) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (sqrt.f64 2) 1) 3)) (+.f64 3 (+.f64 (+.f64 2 (pow.f64 2 3/2)) (sqrt.f64 2))))
(/.f64 (neg.f64 (*.f64 (+.f64 (sqrt.f64 2) 2) (sqrt.f64 2))) (neg.f64 (+.f64 (sqrt.f64 2) 2)))
(sqrt.f64 2)
(pow.f64 2 1/2)
(sqrt.f64 2)
(pow.f64 (sqrt.f64 2) 1)
(sqrt.f64 2)
(pow.f64 (cbrt.f64 (sqrt.f64 2)) 3)
(sqrt.f64 2)
(pow.f64 (pow.f64 2 1/4) 2)
(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)
(log1p.f64 (expm1.f64 (sqrt.f64 2)))
(sqrt.f64 2)
(exp.f64 (log.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 (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)
(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)
(sqrt.f64 2)

eval12.0ms (0.3%)

Compiler

Compiled 449 to 449 computations (0% saved)

prune7.0ms (0.2%)

Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New46147
Fresh000
Picked101
Done044
Total47552
Error
0b
Counts
52 → 5
Alt Table
Click to see full alt table
StatusErrorProgram
▶19.2b
(/.f64 2 (sqrt.f64 2))
✓0.0b
(sqrt.f64 (+.f64 (+.f64 2 (exp.f64 x)) -1))
✓0.0b
(sqrt.f64 (+.f64 2 (expm1.f64 x)))
✓22.9b
(sqrt.f64 (+.f64 2 x))
✓18.6b
(sqrt.f64 2)
Compiler

Compiled 27 to 24 computations (11.1% saved)

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

rewrite41.0ms (1.1%)

Algorithm
1×egg-rewrite-iter-limit
1×batch-egg-rewrite
Rules
307×frac-times_binary64
292×pow1_binary64
291×add-sqr-sqrt_binary64
280×add-log-exp_binary64
280×log1p-expm1-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046
1886
210456
046
Stop Event
1×iter limit
1×node limit
Counts
1 → 10
Calls
Call 1
Inputs
(/.f64 2 (sqrt.f64 2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 1 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 2 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (/.f64 2 (sqrt.f64 2))) (cbrt.f64 (/.f64 2 (sqrt.f64 2)))) (cbrt.f64 (/.f64 2 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 2 (sqrt.f64 2))) (sqrt.f64 (/.f64 2 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 2 (sqrt.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 2 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (/.f64 2 (sqrt.f64 2)) (/.f64 2 (sqrt.f64 2))) (/.f64 2 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 2 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 2 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 2 (sqrt.f64 2))))))))

simplify49.0ms (1.3%)

Algorithm
1×egg-herbie
Rules
696×unswap-sqr_binary64
655×fma-neg_binary64
630×fma-def_binary64
375×distribute-rgt-in_binary64
326×associate-/l*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02560
14660
219560
396760
4310460
5798260
Stop Event
1×node limit
Counts
10 → 11
Calls
Call 1
Inputs
(*.f64 2 (/.f64 1 (sqrt.f64 2)))
(*.f64 1 (/.f64 2 (sqrt.f64 2)))
(*.f64 (*.f64 (cbrt.f64 (/.f64 2 (sqrt.f64 2))) (cbrt.f64 (/.f64 2 (sqrt.f64 2)))) (cbrt.f64 (/.f64 2 (sqrt.f64 2))))
(*.f64 (sqrt.f64 (/.f64 2 (sqrt.f64 2))) (sqrt.f64 (/.f64 2 (sqrt.f64 2))))
(pow.f64 (/.f64 2 (sqrt.f64 2)) 1)
(log.f64 (exp.f64 (/.f64 2 (sqrt.f64 2))))
(cbrt.f64 (*.f64 (*.f64 (/.f64 2 (sqrt.f64 2)) (/.f64 2 (sqrt.f64 2))) (/.f64 2 (sqrt.f64 2))))
(expm1.f64 (log1p.f64 (/.f64 2 (sqrt.f64 2))))
(log1p.f64 (expm1.f64 (/.f64 2 (sqrt.f64 2))))
(exp.f64 (log.f64 (/.f64 2 (sqrt.f64 2))))
Outputs
(*.f64 2 (/.f64 1 (sqrt.f64 2)))
(/.f64 2 (sqrt.f64 2))
(*.f64 1 (/.f64 2 (sqrt.f64 2)))
(/.f64 2 (sqrt.f64 2))
(*.f64 (*.f64 (cbrt.f64 (/.f64 2 (sqrt.f64 2))) (cbrt.f64 (/.f64 2 (sqrt.f64 2)))) (cbrt.f64 (/.f64 2 (sqrt.f64 2))))
(/.f64 2 (sqrt.f64 2))
(*.f64 (sqrt.f64 (/.f64 2 (sqrt.f64 2))) (sqrt.f64 (/.f64 2 (sqrt.f64 2))))
(/.f64 2 (sqrt.f64 2))
(pow.f64 (/.f64 2 (sqrt.f64 2)) 1)
(/.f64 2 (sqrt.f64 2))
(log.f64 (exp.f64 (/.f64 2 (sqrt.f64 2))))
(/.f64 2 (sqrt.f64 2))
(cbrt.f64 (*.f64 (*.f64 (/.f64 2 (sqrt.f64 2)) (/.f64 2 (sqrt.f64 2))) (/.f64 2 (sqrt.f64 2))))
(/.f64 2 (sqrt.f64 2))
(expm1.f64 (log1p.f64 (/.f64 2 (sqrt.f64 2))))
(/.f64 2 (sqrt.f64 2))
(log1p.f64 (expm1.f64 (/.f64 2 (sqrt.f64 2))))
(/.f64 2 (sqrt.f64 2))
(exp.f64 (log.f64 (/.f64 2 (sqrt.f64 2))))
(/.f64 2 (sqrt.f64 2))

eval3.0ms (0.1%)

Compiler

Compiled 90 to 90 computations (0% saved)

prune3.0ms (0.1%)

Pruning

5 alts after pruning (0 fresh and 5 done)

PrunedKeptTotal
New11011
Fresh000
Picked011
Done044
Total11516
Error
0b
Counts
16 → 5
Alt Table
Click to see full alt table
StatusErrorProgram
✓19.2b
(/.f64 2 (sqrt.f64 2))
✓0.0b
(sqrt.f64 (+.f64 (+.f64 2 (exp.f64 x)) -1))
✓0.0b
(sqrt.f64 (+.f64 2 (expm1.f64 x)))
✓22.9b
(sqrt.f64 (+.f64 2 x))
✓18.6b
(sqrt.f64 2)
Compiler

Compiled 27 to 24 computations (11.1% saved)

regimes12.0ms (0.3%)

Counts
10 → 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)
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 2 (expm1.f64 x)))
(sqrt.f64 (+.f64 (+.f64 2 (exp.f64 x)) -1))
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 1)
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
Outputs
(sqrt.f64 (+.f64 2 (expm1.f64 x)))
Calls

3 calls:

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

Compiled 90 to 71 computations (21.1% saved)

regimes5.0ms (0.1%)

Counts
5 → 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)
(sqrt.f64 (+.f64 1 (exp.f64 x)))
Outputs
(sqrt.f64 (+.f64 1 (exp.f64 x)))
Calls

1 calls:

4.0ms
x
Results
ErrorSegmentsBranch
0.0b1x
Compiler

Compiled 24 to 21 computations (12.5% saved)

regimes12.0ms (0.3%)

Accuracy

Total -5.2b remaining (-28.2%)

Threshold costs -5.2b (-28.2%)

Counts
4 → 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)
Outputs
(sqrt.f64 2)
Calls

1 calls:

3.0ms
x
Results
ErrorSegmentsBranch
18.6b1x
Compiler

Compiled 19 to 17 computations (10.5% saved)

simplify3.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
2×+-commutative_binary64
1×1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01119
11519
Stop Event
1×done
1×saturated
Calls
Call 1
Inputs
(sqrt.f64 (+.f64 2 (expm1.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 2)
Outputs
(sqrt.f64 (+.f64 2 (expm1.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 2)
Compiler

Compiled 15 to 13 computations (13.3% saved)

soundness131.0ms (3.6%)

Algorithm
2×egg-herbie
Rules
695×times-frac_binary64
633×associate-/l*_binary64
580×associate-*l*_binary64
578×distribute-rgt-in_binary64
568×associate-*r*_binary64
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
01113
12513
23413
35913
412711
53498
613418
0153947
1361825
21201653
33679639
Stop Event
1×node limit
1×node limit
Compiler

Compiled 129 to 102 computations (20.9% saved)

end22.0ms (0.6%)

Compiler

Compiled 13 to 11 computations (15.4% saved)

Profiling

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