Details

Time bar (total: 4.1s)

analyze850.0ms (21%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
25%75%0%3
25%62.5%12.5%4
25%56.2%18.8%5
28.1%50%21.9%6
29.7%46.9%23.5%7
30.5%45.3%24.3%8
30.8%44.9%24.3%9
31.2%44.5%24.3%10
31.3%44.4%24.3%11
31.4%44.3%24.3%12
31.4%44.1%24.5%13
31.5%43.8%24.8%14
Compiler

Compiled 14 to 12 computations (14.3% saved)

sample2.4s (59.2%)

Results
1.3s2688×body1024valid
433.0ms1372×body512valid
372.0ms3221×body128valid
155.0ms276×body2048valid
147.0ms699×body256valid
0.0ms2×body128invalid
Compiler

Compiled 28 to 24 computations (14.3% saved)

preprocess25.0ms (0.6%)

Algorithm
2×egg-herbie
Rules
462×rules-6-rev_binary64
418×rules-6_binary64
416×rules-1_binary64
318×rules-5-rev_binary64
216×rules-4-rev_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01113
12113
22813
34813
410713
528013
6136513
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)))
Compiler

Compiled 13 to 11 computations (15.4% saved)

simplify19.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
462×rules-6-rev_binary64
418×rules-6_binary64
416×rules-1_binary64
318×rules-5-rev_binary64
216×rules-4-rev_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01113
12113
22813
34813
410713
528013
6136513
Stop Event
1×node limit
Counts
1 → 2
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)))

prune3.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New112
Fresh101
Picked000
Done000
Total213
Error
0.0b
Counts
3 → 1
Alt Table
StatusErrorProgram
▶0.0b
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
Compiler

Compiled 39 to 28 computations (28.2% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

series19.0ms (0.5%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
5.0ms
x
@-inf
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
4.0ms
x
@inf
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
4.0ms
x
@-inf
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
4.0ms
x
@inf
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
2.0ms
x
@0
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))

rewrite42.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
714×rules-42_binary64
714×rules-43_binary64
713×rules-40_binary64
713×rules-41_binary64
664×expm1-log1p-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0724
116224
2210424
Stop Event
1×node limit
Counts
2 → 71
Calls
Call 1
Inputs
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) (*.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) (*.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 0 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) 1)))) (#(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 (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) (*.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 (cbrt.f64 (expm1.f64 (+.f64 x x))) 2) (/.f64 (cbrt.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) (*.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)))))) (#(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))) (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 sqrt.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))) (#(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 log.f64 (+.f64 1 (expm1.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 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 3/2) (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 3/2)))))) (#(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 exp.f64 (log.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 1 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.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))) 0)))) (#(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 expm1.f64 (log1p.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 0 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (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 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) (pow.f64 1 1/2))))) (#(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 (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 (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 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 3/2) (+.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) (+.f64 0 (*.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 0))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 3/2) (+.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) (-.f64 0 (*.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 0))))))) (#(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 (-.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (*.f64 0 (sqrt.f64 (expm1.f64 x)))) (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 log.f64 (+.f64 1 (expm1.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 exp.f64 (log.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 1 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.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)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.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) 0)))) (#(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 expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))))))

simplify21.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
346×fma-def_binary64
259×rules-4_binary64
252×rules-13_binary64
166×rules-20_binary64
156×fma-neg_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
052372
1175358
2810346
Stop Event
1×node limit
Counts
95 → 88
Calls
Call 1
Inputs
2
(+.f64 2 x)
(+.f64 2 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(+.f64 2 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x (*.f64 1/6 (pow.f64 x 3)))))
(/.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 (*.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))
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))
(-.f64 (+.f64 (*.f64 1/4 (/.f64 (pow.f64 x 2) (sqrt.f64 2))) (+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))) (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 2) 3))))
(-.f64 (+.f64 (*.f64 1/12 (/.f64 (pow.f64 x 3) (sqrt.f64 2))) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 x 2) (sqrt.f64 2))) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 5))) (+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))))) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 3))) (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 2) 3)))))
(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 (*.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)))
Outputs
2
(+.f64 2 x)
(+.f64 2 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(+.f64 2 (fma.f64 1/2 (*.f64 x x) x))
(fma.f64 1/2 (*.f64 x x) (+.f64 2 x))
(fma.f64 1/2 (fma.f64 x x 4) x)
(+.f64 2 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x (*.f64 1/6 (pow.f64 x 3)))))
(+.f64 2 (+.f64 (*.f64 1/6 (pow.f64 x 3)) (fma.f64 1/2 (*.f64 x x) x)))
(+.f64 2 (fma.f64 1/2 (*.f64 x x) (fma.f64 1/6 (pow.f64 x 3) x)))
(fma.f64 1/2 (fma.f64 x x 4) (fma.f64 1/6 (pow.f64 x 3) x))
(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
(/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x))
(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
(/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x))
(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
(/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x))
(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
(/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x))
(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
(/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x))
(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
(/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x))
(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
(/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x))
(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
(/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x))
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))
(fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (sqrt.f64 2))
(/.f64 (fma.f64 x 1/2 2) (sqrt.f64 2))
(-.f64 (+.f64 (*.f64 1/4 (/.f64 (pow.f64 x 2) (sqrt.f64 2))) (+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))) (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 2) 3))))
(-.f64 (fma.f64 1/4 (/.f64 (*.f64 x x) (sqrt.f64 2)) (+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))) (*.f64 1/8 (/.f64 (*.f64 x x) (pow.f64 (sqrt.f64 2) 3))))
(-.f64 (fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (fma.f64 1/4 (*.f64 x (/.f64 x (sqrt.f64 2))) (sqrt.f64 2))) (/.f64 (*.f64 x x) (*.f64 (sqrt.f64 2) 16)))
(-.f64 (fma.f64 x (/.f64 x (/.f64 (sqrt.f64 2) 1/4)) (/.f64 (fma.f64 x 1/2 2) (sqrt.f64 2))) (*.f64 x (/.f64 x (*.f64 (sqrt.f64 2) 16))))
(-.f64 (+.f64 (*.f64 1/12 (/.f64 (pow.f64 x 3) (sqrt.f64 2))) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 x 2) (sqrt.f64 2))) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 5))) (+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))))) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 3))) (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 2) 3)))))
(-.f64 (fma.f64 1/12 (/.f64 (pow.f64 x 3) (sqrt.f64 2)) (fma.f64 1/4 (/.f64 (*.f64 x x) (sqrt.f64 2)) (fma.f64 1/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 5)) (+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))))) (*.f64 1/8 (+.f64 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 3)) (/.f64 (*.f64 x x) (pow.f64 (sqrt.f64 2) 3)))))
(-.f64 (fma.f64 1/12 (/.f64 (pow.f64 x 3) (sqrt.f64 2)) (fma.f64 1/4 (*.f64 x (/.f64 x (sqrt.f64 2))) (fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (fma.f64 1/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 5)) (sqrt.f64 2))))) (+.f64 (/.f64 (*.f64 x x) (*.f64 (sqrt.f64 2) 16)) (/.f64 (pow.f64 x 3) (*.f64 (sqrt.f64 2) 16))))
(-.f64 (fma.f64 1/4 (fma.f64 x (/.f64 x (sqrt.f64 2)) (*.f64 (/.f64 (pow.f64 x 3) (sqrt.f64 2)) 1/3)) (fma.f64 1/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 5)) (/.f64 (fma.f64 x 1/2 2) (sqrt.f64 2)))) (fma.f64 x (/.f64 x (*.f64 (sqrt.f64 2) 16)) (/.f64 (/.f64 (pow.f64 x 3) (sqrt.f64 2)) 16)))
(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 (-.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 (-.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 (-.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 (-.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 (-.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 (-.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 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
(sqrt.f64 (/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x)))

prune49.0ms (1.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New86288
Fresh000
Picked101
Done000
Total87289
Error
0b
Counts
89 → 2
Alt Table
StatusErrorProgram
▶0.0b
(sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 3)))
24.1b
(/.f64 (fma.f64 x 1/2 2) (sqrt.f64 2))
Compiler

Compiled 1328 to 520 computations (60.8% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 3)))
0.0b
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
✓0.0b
(cbrt.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 3))
✓0.0b
(pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 3)

series37.0ms (0.9%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
8.0ms
x
@-inf
(pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 3)
7.0ms
x
@inf
(pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 3)
5.0ms
x
@-inf
(sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 3)))
5.0ms
x
@-inf
(cbrt.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 3))
4.0ms
x
@inf
(sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 3)))

rewrite49.0ms (1.2%)

Algorithm
1×batch-egg-rewrite
Rules
886×rules-43_binary64
885×rules-41_binary64
885×rules-42_binary64
93×add-sqr-sqrt_binary64
89×log1p-expm1-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01038
124138
2275638
Stop Event
1×node limit
Counts
3 → 117
Calls
Call 1
Inputs
(pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 3)
(cbrt.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 3))
(sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 3)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 3) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 3) (*.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 2) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 3) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 3) (*.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 2) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 0 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) (*.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 2) (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) (*.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 2) (/.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))) (*.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 2) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (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))) (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 3/2) (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 2) 3) (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (expm1.f64 (+.f64 x x)) (/.f64 (expm1.f64 x) (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) (/.f64 1 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 3) 3) (+.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 6) (+.f64 0 (*.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 3) 0))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 3) 3) (+.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 6) (-.f64 0 (*.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 3) 0))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 3) (pow.f64 (expm1.f64 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 3) (*.f64 0 (pow.f64 (expm1.f64 x) 3))) (pow.f64 (expm1.f64 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 2) (expm1.f64 (+.f64 x x))) (expm1.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 3 (log.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 3) 1 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 2) (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 3/2) (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 3/2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 3)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) (*.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) (*.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 0 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) 1)))) (#(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 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(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.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))) 0)))) (#(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 expm1.f64 (log1p.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 0 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (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 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) (pow.f64 1 1/2))))) (#(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 (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 (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 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 1)))) (#(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 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 3/2) (+.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) (+.f64 0 (*.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 0))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 3/2) (+.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) (-.f64 0 (*.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 0))))))) (#(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 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 3) 1/6)))) (#(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 (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 pow.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 3/2) 1/3)))) (#(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 log.f64 (+.f64 1 (expm1.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 exp.f64 (log.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 1 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.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)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.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) 0)))) (#(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 expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))))))

simplify25.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
360×rules-13_binary64
326×rules-4_binary64
221×rules-20_binary64
181×rules-21_binary64
165×rules-14-rev_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
067550
1233527
21053527
Stop Event
1×node limit
Counts
153 → 144
Calls
Call 1
Inputs
8
(+.f64 8 (*.f64 12 x))
(+.f64 8 (+.f64 (*.f64 12 (pow.f64 x 2)) (*.f64 12 x)))
(+.f64 8 (+.f64 (*.f64 12 (pow.f64 x 2)) (+.f64 (*.f64 12 x) (*.f64 9 (pow.f64 x 3)))))
(/.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) 3) (pow.f64 (-.f64 (exp.f64 x) 1) 3))
(/.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) 3) (pow.f64 (-.f64 (exp.f64 x) 1) 3))
(/.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) 3) (pow.f64 (-.f64 (exp.f64 x) 1) 3))
(/.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) 3) (pow.f64 (-.f64 (exp.f64 x) 1) 3))
(/.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) 3) (pow.f64 (-.f64 (exp.f64 x) 1) 3))
(/.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) 3) (pow.f64 (-.f64 (exp.f64 x) 1) 3))
(/.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) 3) (pow.f64 (-.f64 (exp.f64 x) 1) 3))
(/.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) 3) (pow.f64 (-.f64 (exp.f64 x) 1) 3))
2
(+.f64 2 x)
(+.f64 2 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(+.f64 2 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x (*.f64 1/6 (pow.f64 x 3)))))
(/.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 (*.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))
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))
(-.f64 (+.f64 (*.f64 1/4 (/.f64 (pow.f64 x 2) (sqrt.f64 2))) (+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))) (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 2) 3))))
(-.f64 (+.f64 (*.f64 1/12 (/.f64 (pow.f64 x 3) (sqrt.f64 2))) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 x 2) (sqrt.f64 2))) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 5))) (+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))))) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 3))) (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 2) 3)))))
(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 (*.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)))
Outputs
8
(+.f64 8 (*.f64 12 x))
(fma.f64 12 x 8)
(+.f64 8 (+.f64 (*.f64 12 (pow.f64 x 2)) (*.f64 12 x)))
(+.f64 8 (*.f64 12 (+.f64 (*.f64 x x) x)))
(fma.f64 12 (fma.f64 x x x) 8)
(+.f64 8 (+.f64 (*.f64 12 (pow.f64 x 2)) (+.f64 (*.f64 12 x) (*.f64 9 (pow.f64 x 3)))))
(+.f64 8 (fma.f64 12 (*.f64 x x) (fma.f64 12 x (*.f64 9 (pow.f64 x 3)))))
(+.f64 8 (fma.f64 9 (pow.f64 x 3) (*.f64 12 (fma.f64 x x x))))
(/.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) 3) (pow.f64 (-.f64 (exp.f64 x) 1) 3))
(/.f64 (pow.f64 (expm1.f64 (*.f64 x 2)) 3) (pow.f64 (expm1.f64 x) 3))
(/.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) 3) (pow.f64 (-.f64 (exp.f64 x) 1) 3))
(/.f64 (pow.f64 (expm1.f64 (*.f64 x 2)) 3) (pow.f64 (expm1.f64 x) 3))
(/.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) 3) (pow.f64 (-.f64 (exp.f64 x) 1) 3))
(/.f64 (pow.f64 (expm1.f64 (*.f64 x 2)) 3) (pow.f64 (expm1.f64 x) 3))
(/.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) 3) (pow.f64 (-.f64 (exp.f64 x) 1) 3))
(/.f64 (pow.f64 (expm1.f64 (*.f64 x 2)) 3) (pow.f64 (expm1.f64 x) 3))
(/.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) 3) (pow.f64 (-.f64 (exp.f64 x) 1) 3))
(/.f64 (pow.f64 (expm1.f64 (*.f64 x 2)) 3) (pow.f64 (expm1.f64 x) 3))
(/.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) 3) (pow.f64 (-.f64 (exp.f64 x) 1) 3))
(/.f64 (pow.f64 (expm1.f64 (*.f64 x 2)) 3) (pow.f64 (expm1.f64 x) 3))
(/.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) 3) (pow.f64 (-.f64 (exp.f64 x) 1) 3))
(/.f64 (pow.f64 (expm1.f64 (*.f64 x 2)) 3) (pow.f64 (expm1.f64 x) 3))
(/.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) 3) (pow.f64 (-.f64 (exp.f64 x) 1) 3))
(/.f64 (pow.f64 (expm1.f64 (*.f64 x 2)) 3) (pow.f64 (expm1.f64 x) 3))
2
(+.f64 2 x)
(+.f64 x 2)
(+.f64 2 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(+.f64 2 (fma.f64 1/2 (*.f64 x x) x))
(fma.f64 (*.f64 x x) 1/2 (+.f64 x 2))
(+.f64 2 (fma.f64 (*.f64 x x) 1/2 x))
(+.f64 2 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x (*.f64 1/6 (pow.f64 x 3)))))
(+.f64 2 (+.f64 (*.f64 (pow.f64 x 3) 1/6) (fma.f64 1/2 (*.f64 x x) x)))
(+.f64 2 (fma.f64 (*.f64 x x) 1/2 (fma.f64 (pow.f64 x 3) 1/6 x)))
(+.f64 2 (fma.f64 (pow.f64 x 3) 1/6 (fma.f64 (*.f64 x x) 1/2 x)))
(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
(/.f64 (expm1.f64 (*.f64 x 2)) (expm1.f64 x))
(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
(/.f64 (expm1.f64 (*.f64 x 2)) (expm1.f64 x))
(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
(/.f64 (expm1.f64 (*.f64 x 2)) (expm1.f64 x))
(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
(/.f64 (expm1.f64 (*.f64 x 2)) (expm1.f64 x))
(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
(/.f64 (expm1.f64 (*.f64 x 2)) (expm1.f64 x))
(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
(/.f64 (expm1.f64 (*.f64 x 2)) (expm1.f64 x))
(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
(/.f64 (expm1.f64 (*.f64 x 2)) (expm1.f64 x))
(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
(/.f64 (expm1.f64 (*.f64 x 2)) (expm1.f64 x))
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))
(+.f64 (sqrt.f64 2) (/.f64 (*.f64 1/2 x) (sqrt.f64 2)))
(/.f64 (+.f64 (*.f64 x 1/2) 2) (sqrt.f64 2))
(fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (sqrt.f64 2))
(-.f64 (+.f64 (*.f64 1/4 (/.f64 (pow.f64 x 2) (sqrt.f64 2))) (+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))) (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 2) 3))))
(-.f64 (fma.f64 1/4 (/.f64 (*.f64 x x) (sqrt.f64 2)) (+.f64 (sqrt.f64 2) (/.f64 (*.f64 1/2 x) (sqrt.f64 2)))) (*.f64 1/8 (/.f64 (*.f64 x x) (pow.f64 (sqrt.f64 2) 3))))
(-.f64 (fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (fma.f64 1/4 (/.f64 (*.f64 x x) (sqrt.f64 2)) (sqrt.f64 2))) (/.f64 (*.f64 x x) (*.f64 (sqrt.f64 2) 16)))
(-.f64 (fma.f64 1/4 (*.f64 x (/.f64 x (sqrt.f64 2))) (fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (sqrt.f64 2))) (*.f64 x (/.f64 x (*.f64 (sqrt.f64 2) 16))))
(-.f64 (+.f64 (*.f64 1/12 (/.f64 (pow.f64 x 3) (sqrt.f64 2))) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 x 2) (sqrt.f64 2))) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 5))) (+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))))) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 3))) (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 2) 3)))))
(-.f64 (fma.f64 1/12 (/.f64 (pow.f64 x 3) (sqrt.f64 2)) (fma.f64 1/4 (/.f64 (*.f64 x x) (sqrt.f64 2)) (fma.f64 1/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 5)) (+.f64 (sqrt.f64 2) (/.f64 (*.f64 1/2 x) (sqrt.f64 2)))))) (*.f64 1/8 (+.f64 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 3)) (/.f64 (*.f64 x x) (pow.f64 (sqrt.f64 2) 3)))))
(-.f64 (fma.f64 1/12 (/.f64 (pow.f64 x 3) (sqrt.f64 2)) (fma.f64 1/4 (/.f64 (*.f64 x x) (sqrt.f64 2)) (fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (fma.f64 1/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 5)) (sqrt.f64 2))))) (+.f64 (/.f64 (*.f64 x x) (*.f64 (sqrt.f64 2) 16)) (/.f64 (pow.f64 x 3) (*.f64 (sqrt.f64 2) 16))))
(-.f64 (fma.f64 1/12 (/.f64 (pow.f64 x 3) (sqrt.f64 2)) (fma.f64 1/4 (*.f64 x (/.f64 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)) (sqrt.f64 2))))) (+.f64 (*.f64 x (/.f64 x (*.f64 (sqrt.f64 2) 16))) (/.f64 (pow.f64 x 3) (*.f64 (sqrt.f64 2) 16))))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
(sqrt.f64 (/.f64 (expm1.f64 (*.f64 x 2)) (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 2)) (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 2)) (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 2)) (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 2)) (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 2)) (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 2)) (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 2)) (expm1.f64 x)))

prune95.0ms (2.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1881189
Fresh101
Picked011
Done000
Total1892191
Error
0b
Counts
191 → 2
Alt Table
StatusErrorProgram
✓0.0b
(sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 3)))
▶22.6b
(sqrt.f64 (cbrt.f64 (fma.f64 12 (fma.f64 x x x) 8)))
Compiler

Compiled 3054 to 1231 computations (59.7% saved)

localize6.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.1b
(fma.f64 12 (fma.f64 x x x) 8)
✓0.1b
(sqrt.f64 (cbrt.f64 (fma.f64 12 (fma.f64 x x x) 8)))
✓10.6b
(cbrt.f64 (fma.f64 12 (fma.f64 x x x) 8))

series14.0ms (0.3%)

Counts
3 → 28
Calls

9 calls:

TimeVariablePointExpression
3.0ms
x
@0
(cbrt.f64 (fma.f64 12 (fma.f64 x x x) 8))
3.0ms
x
@inf
(cbrt.f64 (fma.f64 12 (fma.f64 x x x) 8))
2.0ms
x
@-inf
(sqrt.f64 (cbrt.f64 (fma.f64 12 (fma.f64 x x x) 8)))
2.0ms
x
@inf
(sqrt.f64 (cbrt.f64 (fma.f64 12 (fma.f64 x x x) 8)))
1.0ms
x
@-inf
(cbrt.f64 (fma.f64 12 (fma.f64 x x x) 8))

rewrite45.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
729×rules-40_binary64
729×rules-41_binary64
729×rules-42_binary64
729×rules-43_binary64
687×expm1-log1p-u_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0833
118532
2213432
Stop Event
1×node limit
Counts
3 → 107
Calls
Call 1
Inputs
(cbrt.f64 (fma.f64 12 (fma.f64 x x x) 8))
(sqrt.f64 (cbrt.f64 (fma.f64 12 (fma.f64 x x x) 8)))
(fma.f64 12 (fma.f64 x x x) 8)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cbrt.f64 (fma.f64 12 (fma.f64 x x x) 8)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cbrt.f64 (fma.f64 12 (fma.f64 x x x) 8)) (*.f64 (pow.f64 (fma.f64 12 (fma.f64 x x x) 8) 1/6) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 (fma.f64 12 (fma.f64 x x x) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cbrt.f64 (fma.f64 12 (fma.f64 x x x) 8)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cbrt.f64 (fma.f64 12 (fma.f64 x x x) 8)) (*.f64 (pow.f64 (fma.f64 12 (fma.f64 x x x) 8) 1/6) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 0 (cbrt.f64 (fma.f64 12 (fma.f64 x x x) 8))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (fma.f64 12 (fma.f64 x x x) 8)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 12 (fma.f64 x x x) 8)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 12 (fma.f64 x x x) 8)) (pow.f64 1 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 12 (fma.f64 x x x) 8) 1/6) (pow.f64 (fma.f64 12 (fma.f64 x x x) 8) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (fma.f64 12 (fma.f64 x x x) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 12 (fma.f64 x x x) 8) 1/6)) (*.f64 (pow.f64 (fma.f64 12 (fma.f64 x x x) 8) 1/6) (cbrt.f64 (cbrt.f64 (fma.f64 12 (fma.f64 x x x) 8)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (fma.f64 12 (fma.f64 x x x) 8))) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 12 (fma.f64 x x x) 8))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (fma.f64 12 (fma.f64 x x x) 8))) (*.f64 (cbrt.f64 (pow.f64 (fma.f64 12 (fma.f64 x x x) 8) 1/6)) (pow.f64 (fma.f64 12 (fma.f64 x x x) 8) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 12 (fma.f64 x x x) 8))) 2) (cbrt.f64 (cbrt.f64 (fma.f64 12 (fma.f64 x x x) 8))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 12 (fma.f64 x x x) 8)) 1/4) (*.f64 (pow.f64 (fma.f64 12 (fma.f64 x x x) 8) 1/6) (pow.f64 (cbrt.f64 (fma.f64 12 (fma.f64 x x x) 8)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 12 (fma.f64 x x x) 8)) 1/4) (*.f64 (pow.f64 (cbrt.f64 (fma.f64 12 (fma.f64 x x x) 8)) 1/4) (pow.f64 (fma.f64 12 (fma.f64 x x x) 8) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 12 (fma.f64 x x x) 8)) 2) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 12 (fma.f64 x x x) 8))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 12 (fma.f64 x x x) 8) (+.f64 (pow.f64 (cbrt.f64 (fma.f64 12 (fma.f64 x x x) 8)) 2) (+.f64 0 (*.f64 (cbrt.f64 (fma.f64 12 (fma.f64 x x x) 8)) 0))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 12 (fma.f64 x x x) 8) (+.f64 (pow.f64 (cbrt.f64 (fma.f64 12 (fma.f64 x x x) 8)) 2) (-.f64 0 (*.f64 (cbrt.f64 (fma.f64 12 (fma.f64 x x x) 8)) 0))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (fma.f64 12 (fma.f64 x x x) 8)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (fma.f64 12 (fma.f64 x x x) 8) 1/6) (/.f64 1 (pow.f64 (fma.f64 12 (fma.f64 x x x) 8) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 12 (fma.f64 x x x) 8) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 12 (fma.f64 x x x) 8)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 12 (fma.f64 x x x) 8) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (fma.f64 12 (fma.f64 x x x) 8)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 12 (fma.f64 x x x) 8))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 12 (fma.f64 x x x) 8)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 (fma.f64 12 (fma.f64 x x x) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (fma.f64 12 (fma.f64 x x x) 8))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (fma.f64 12 (fma.f64 x x x) 8)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (fma.f64 12 (fma.f64 x x x) 8))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 12 (fma.f64 x x x) 8)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 12 (fma.f64 x x x) 8)) 1 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (fma.f64 12 (fma.f64 x x x) 8) 1/6) (pow.f64 (fma.f64 12 (fma.f64 x x x) 8) 1/6) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 12 (fma.f64 x x x) 8))) 2) (cbrt.f64 (cbrt.f64 (fma.f64 12 (fma.f64 x x x) 8))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (fma.f64 12 (fma.f64 x x x) 8))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (fma.f64 12 (fma.f64 x x x) 8))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (fma.f64 12 (fma.f64 x x x) 8) 1/6) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (fma.f64 12 (fma.f64 x x x) 8) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (pow.f64 (fma.f64 12 (fma.f64 x x x) 8) 1/6) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 0 (pow.f64 (fma.f64 12 (fma.f64 x x x) 8) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (fma.f64 12 (fma.f64 x x x) 8) 1/6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 12 (fma.f64 x x x) 8) 1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 12 (fma.f64 x x x) 8) 1/6) (pow.f64 1 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (fma.f64 12 (fma.f64 x x x) 8) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 12 (fma.f64 x x x) 8) 1/6)) (cbrt.f64 (cbrt.f64 (fma.f64 12 (fma.f64 x x x) 8))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (fma.f64 12 (fma.f64 x x x) 8))) (cbrt.f64 (pow.f64 (fma.f64 12 (fma.f64 x x x) 8) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 12 (fma.f64 x x x) 8)) 1/4) (pow.f64 (cbrt.f64 (fma.f64 12 (fma.f64 x x x) 8)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 12 (fma.f64 x x x) 8))) 2)) (sqrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 12 (fma.f64 x x x) 8)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 12 (fma.f64 x x x) 8))) 2) 1/2) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 12 (fma.f64 x x x) 8))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (fma.f64 12 (fma.f64 x x x) 8) 1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (fma.f64 12 (fma.f64 x x x) 8)) (+.f64 (cbrt.f64 (fma.f64 12 (fma.f64 x x x) 8)) (+.f64 0 (*.f64 (pow.f64 (fma.f64 12 (fma.f64 x x x) 8) 1/6) 0))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (fma.f64 12 (fma.f64 x x x) 8)) (+.f64 (cbrt.f64 (fma.f64 12 (fma.f64 x x x) 8)) (-.f64 0 (*.f64 (pow.f64 (fma.f64 12 (fma.f64 x x x) 8) 1/6) 0))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 12 (fma.f64 x x x) 8) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 12 (fma.f64 x x x) 8)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 12 (fma.f64 x x x) 8) 1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (fma.f64 12 (fma.f64 x x x) 8) 1/6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (fma.f64 12 (fma.f64 x x x) 8)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 12 (fma.f64 x x x) 8)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (pow.f64 (fma.f64 12 (fma.f64 x x x) 8) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (fma.f64 12 (fma.f64 x x x) 8) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (fma.f64 12 (fma.f64 x x x) 8) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (sqrt.f64 (fma.f64 12 (fma.f64 x x x) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (fma.f64 12 (fma.f64 x x x) 8) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 12 (fma.f64 x x x) 8))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (fma.f64 12 (fma.f64 x x x) 8) 1/6) 1 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (cbrt.f64 (fma.f64 12 (fma.f64 x x x) 8))) (cbrt.f64 (pow.f64 (fma.f64 12 (fma.f64 x x x) 8) 1/6)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 12 (fma.f64 x x x) 8)) 1/4) (pow.f64 (cbrt.f64 (fma.f64 12 (fma.f64 x x x) 8)) 1/4) 0)))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (fma.f64 12 (fma.f64 x x x) 8) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (fma.f64 12 (fma.f64 x x x) 8) 1/6)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 8 (*.f64 12 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 12 (fma.f64 x x x) 8) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 12 (fma.f64 x x x) 8) (*.f64 (pow.f64 (cbrt.f64 (fma.f64 12 (fma.f64 x x x) 8)) 2) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 12 (fma.f64 x x x) 8))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 12 (fma.f64 x x x)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 8 (-.f64 0 (*.f64 12 (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 12 (fma.f64 x x x) 8) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 12 (fma.f64 x x x) 8) (*.f64 (pow.f64 (cbrt.f64 (fma.f64 12 (fma.f64 x x x) 8)) 2) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 0 (fma.f64 12 (fma.f64 x x x) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 12 (fma.f64 x x x) 8))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 12 (fma.f64 x x x) 8) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 12 (fma.f64 x x x) 8)) (pow.f64 (cbrt.f64 (fma.f64 12 (fma.f64 x x x) 8)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 12 (fma.f64 x x x) 8) 1/6) (*.f64 (pow.f64 (cbrt.f64 (fma.f64 12 (fma.f64 x x x) 8)) 2) (pow.f64 (fma.f64 12 (fma.f64 x x x) 8) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 12 (fma.f64 x x x) 8) 1/6) (*.f64 (pow.f64 (fma.f64 12 (fma.f64 x x x) 8) 1/6) (pow.f64 (cbrt.f64 (fma.f64 12 (fma.f64 x x x) 8)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 12 (fma.f64 x x x) 8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 12 (fma.f64 x x x) 8)) 2) (cbrt.f64 (fma.f64 12 (fma.f64 x x x) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (fma.f64 12 (fma.f64 x x x) 8))) (*.f64 (pow.f64 (cbrt.f64 (fma.f64 12 (fma.f64 x x x) 8)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 12 (fma.f64 x x x) 8))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 12 (fma.f64 x x x) 8))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 12 (fma.f64 x x x) 8))) (pow.f64 (cbrt.f64 (fma.f64 12 (fma.f64 x x x) 8)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 12 (fma.f64 x x x) 8)) (sqrt.f64 (fma.f64 12 (fma.f64 x x x) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 12 (fma.f64 x x x) 8) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (fma.f64 12 (fma.f64 x x x) 8)) (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 12 (fma.f64 x x x) 8)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (fma.f64 12 (fma.f64 x x x) 8) 3) (+.f64 (pow.f64 (fma.f64 12 (fma.f64 x x x) 8) 2) (+.f64 0 (*.f64 (fma.f64 12 (fma.f64 x x x) 8) 0))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (fma.f64 12 (fma.f64 x x x) 8) 3) (+.f64 (pow.f64 (fma.f64 12 (fma.f64 x x x) 8) 2) (-.f64 0 (*.f64 (fma.f64 12 (fma.f64 x x x) 8) 0))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 12 (fma.f64 x x x)) 3) 512) (+.f64 (*.f64 (*.f64 12 (fma.f64 x x x)) (*.f64 12 (fma.f64 x x x))) (-.f64 64 (*.f64 (*.f64 12 (fma.f64 x x x)) 8))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 12 (fma.f64 x x x) 8) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 12 (fma.f64 x x x) 8)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 12 (fma.f64 x x x) 8) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 12 (fma.f64 x x x) 8)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 12 (fma.f64 x x x) 8) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (fma.f64 12 (fma.f64 x x x) 8))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 12 (fma.f64 x x x) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 12 (fma.f64 x x x) 8))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 12 (fma.f64 x x x) 8) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 12 (fma.f64 x x x) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 12 (fma.f64 x x x) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 12 (fma.f64 x x x) 8)))))))

simplify28.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
282×rules-20_binary64
273×rules-13_binary64
265×rules-6_binary64
258×rules-11_binary64
197×rules-15-rev_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
085779
1293731
21256625
Stop Event
1×node limit
Counts
135 → 146
Calls
Call 1
Inputs
2
(+.f64 2 (*.f64 4 (/.f64 x (cbrt.f64 4))))
(-.f64 (+.f64 2 (+.f64 (*.f64 4 (/.f64 x (cbrt.f64 4))) (*.f64 1 (pow.f64 x 2)))) (*.f64 8 (/.f64 (pow.f64 x 2) (pow.f64 (cbrt.f64 4) 2))))
(-.f64 (+.f64 2 (+.f64 (*.f64 4 (/.f64 x (cbrt.f64 4))) (+.f64 (*.f64 1 (pow.f64 x 2)) (*.f64 3752999689475413/562949953421312 (pow.f64 x 3))))) (+.f64 (*.f64 4 (/.f64 (pow.f64 x 3) (cbrt.f64 4))) (*.f64 8 (/.f64 (pow.f64 x 2) (pow.f64 (cbrt.f64 4) 2)))))
(pow.f64 8 1/6)
(+.f64 (*.f64 1/4 (*.f64 (pow.f64 8 1/6) x)) (pow.f64 8 1/6))
(+.f64 (*.f64 3/32 (*.f64 (pow.f64 8 1/6) (pow.f64 x 2))) (+.f64 (*.f64 1/4 (*.f64 (pow.f64 8 1/6) x)) (pow.f64 8 1/6)))
(-.f64 (+.f64 (*.f64 3/32 (*.f64 (pow.f64 8 1/6) (pow.f64 x 2))) (+.f64 (*.f64 1/4 (*.f64 (pow.f64 8 1/6) x)) (pow.f64 8 1/6))) (*.f64 65/384 (*.f64 (pow.f64 8 1/6) (pow.f64 x 3))))
(exp.f64 (*.f64 1/6 (-.f64 (log.f64 12) (*.f64 2 (log.f64 (/.f64 1 x))))))
(+.f64 (*.f64 1/6 (/.f64 (exp.f64 (*.f64 1/6 (-.f64 (log.f64 12) (*.f64 2 (log.f64 (/.f64 1 x)))))) x)) (exp.f64 (*.f64 1/6 (-.f64 (log.f64 12) (*.f64 2 (log.f64 (/.f64 1 x)))))))
(+.f64 (*.f64 1/6 (/.f64 (exp.f64 (*.f64 1/6 (-.f64 (log.f64 12) (*.f64 2 (log.f64 (/.f64 1 x)))))) x)) (+.f64 (exp.f64 (*.f64 1/6 (-.f64 (log.f64 12) (*.f64 2 (log.f64 (/.f64 1 x)))))) (*.f64 1/24 (/.f64 (exp.f64 (*.f64 1/6 (-.f64 (log.f64 12) (*.f64 2 (log.f64 (/.f64 1 x)))))) (pow.f64 x 2)))))
(-.f64 (+.f64 (*.f64 1/6 (/.f64 (exp.f64 (*.f64 1/6 (-.f64 (log.f64 12) (*.f64 2 (log.f64 (/.f64 1 x)))))) x)) (+.f64 (exp.f64 (*.f64 1/6 (-.f64 (log.f64 12) (*.f64 2 (log.f64 (/.f64 1 x)))))) (*.f64 1/24 (/.f64 (exp.f64 (*.f64 1/6 (-.f64 (log.f64 12) (*.f64 2 (log.f64 (/.f64 1 x)))))) (pow.f64 x 2))))) (*.f64 65/1296 (/.f64 (exp.f64 (*.f64 1/6 (-.f64 (log.f64 12) (*.f64 2 (log.f64 (/.f64 1 x)))))) (pow.f64 x 3))))
(exp.f64 (*.f64 1/6 (-.f64 (log.f64 12) (*.f64 2 (log.f64 (/.f64 -1 x))))))
(+.f64 (*.f64 1/6 (/.f64 (exp.f64 (*.f64 1/6 (-.f64 (log.f64 12) (*.f64 2 (log.f64 (/.f64 -1 x)))))) x)) (exp.f64 (*.f64 1/6 (-.f64 (log.f64 12) (*.f64 2 (log.f64 (/.f64 -1 x)))))))
(+.f64 (*.f64 1/6 (/.f64 (exp.f64 (*.f64 1/6 (-.f64 (log.f64 12) (*.f64 2 (log.f64 (/.f64 -1 x)))))) x)) (+.f64 (*.f64 1/24 (/.f64 (exp.f64 (*.f64 1/6 (-.f64 (log.f64 12) (*.f64 2 (log.f64 (/.f64 -1 x)))))) (pow.f64 x 2))) (exp.f64 (*.f64 1/6 (-.f64 (log.f64 12) (*.f64 2 (log.f64 (/.f64 -1 x))))))))
(-.f64 (+.f64 (*.f64 1/6 (/.f64 (exp.f64 (*.f64 1/6 (-.f64 (log.f64 12) (*.f64 2 (log.f64 (/.f64 -1 x)))))) x)) (+.f64 (*.f64 1/24 (/.f64 (exp.f64 (*.f64 1/6 (-.f64 (log.f64 12) (*.f64 2 (log.f64 (/.f64 -1 x)))))) (pow.f64 x 2))) (exp.f64 (*.f64 1/6 (-.f64 (log.f64 12) (*.f64 2 (log.f64 (/.f64 -1 x)))))))) (*.f64 65/1296 (/.f64 (exp.f64 (*.f64 1/6 (-.f64 (log.f64 12) (*.f64 2 (log.f64 (/.f64 -1 x)))))) (pow.f64 x 3))))
8
(+.f64 8 (*.f64 12 x))
(+.f64 8 (+.f64 (*.f64 12 (pow.f64 x 2)) (*.f64 12 x)))
(+.f64 8 (+.f64 (*.f64 12 (pow.f64 x 2)) (*.f64 12 x)))
(*.f64 12 (pow.f64 x 2))
(+.f64 (*.f64 12 (pow.f64 x 2)) (*.f64 12 x))
(+.f64 8 (+.f64 (*.f64 12 (pow.f64 x 2)) (*.f64 12 x)))
(+.f64 8 (+.f64 (*.f64 12 (pow.f64 x 2)) (*.f64 12 x)))
(*.f64 12 (pow.f64 x 2))
(+.f64 (*.f64 12 (pow.f64 x 2)) (*.f64 12 x))
(+.f64 8 (+.f64 (*.f64 12 (pow.f64 x 2)) (*.f64 12 x)))
(+.f64 8 (+.f64 (*.f64 12 (pow.f64 x 2)) (*.f64 12 x)))
Outputs
2
(+.f64 2 (*.f64 4 (/.f64 x (cbrt.f64 4))))
(+.f64 2 (/.f64 x (/.f64 (cbrt.f64 4) 4)))
(fma.f64 4 (/.f64 x (cbrt.f64 4)) 2)
(-.f64 (+.f64 2 (+.f64 (*.f64 4 (/.f64 x (cbrt.f64 4))) (*.f64 1 (pow.f64 x 2)))) (*.f64 8 (/.f64 (pow.f64 x 2) (pow.f64 (cbrt.f64 4) 2))))
(-.f64 (fma.f64 4 (/.f64 x (cbrt.f64 4)) (*.f64 1 (*.f64 x x))) (-.f64 (/.f64 (*.f64 8 (*.f64 x x)) (pow.f64 (cbrt.f64 4) 2)) 2))
(-.f64 (fma.f64 x x (/.f64 (*.f64 4 x) (cbrt.f64 4))) (fma.f64 8 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 4) 2)) -2))
(-.f64 (+.f64 2 (+.f64 (*.f64 4 (/.f64 x (cbrt.f64 4))) (+.f64 (*.f64 1 (pow.f64 x 2)) (*.f64 3752999689475413/562949953421312 (pow.f64 x 3))))) (+.f64 (*.f64 4 (/.f64 (pow.f64 x 3) (cbrt.f64 4))) (*.f64 8 (/.f64 (pow.f64 x 2) (pow.f64 (cbrt.f64 4) 2)))))
(-.f64 (fma.f64 4 (/.f64 x (cbrt.f64 4)) (fma.f64 1 (*.f64 x x) (*.f64 3752999689475413/562949953421312 (pow.f64 x 3)))) (-.f64 (fma.f64 4 (/.f64 (pow.f64 x 3) (cbrt.f64 4)) (/.f64 (*.f64 8 (*.f64 x x)) (pow.f64 (cbrt.f64 4) 2))) 2))
(-.f64 (fma.f64 4 (/.f64 x (cbrt.f64 4)) (+.f64 2 (fma.f64 3752999689475413/562949953421312 (pow.f64 x 3) (*.f64 x x)))) (fma.f64 4 (/.f64 (pow.f64 x 3) (cbrt.f64 4)) (/.f64 (*.f64 x (*.f64 8 x)) (pow.f64 (cbrt.f64 4) 2))))
(-.f64 (fma.f64 4 (/.f64 x (cbrt.f64 4)) (fma.f64 3752999689475413/562949953421312 (pow.f64 x 3) (*.f64 x x))) (-.f64 (fma.f64 4 (/.f64 (pow.f64 x 3) (cbrt.f64 4)) (/.f64 (*.f64 x (*.f64 x 8)) (pow.f64 (cbrt.f64 4) 2))) 2))
(pow.f64 8 1/6)
(+.f64 (*.f64 1/4 (*.f64 (pow.f64 8 1/6) x)) (pow.f64 8 1/6))
(fma.f64 1/4 (*.f64 x (pow.f64 8 1/6)) (pow.f64 8 1/6))
(fma.f64 (pow.f64 8 1/6) (*.f64 x 1/4) (pow.f64 8 1/6))
(*.f64 (pow.f64 8 1/6) (+.f64 1 (*.f64 x 1/4)))
(+.f64 (*.f64 3/32 (*.f64 (pow.f64 8 1/6) (pow.f64 x 2))) (+.f64 (*.f64 1/4 (*.f64 (pow.f64 8 1/6) x)) (pow.f64 8 1/6)))
(fma.f64 3/32 (*.f64 (*.f64 x x) (pow.f64 8 1/6)) (fma.f64 1/4 (*.f64 x (pow.f64 8 1/6)) (pow.f64 8 1/6)))
(+.f64 (pow.f64 8 1/6) (*.f64 (pow.f64 8 1/6) (+.f64 (*.f64 (*.f64 x x) 3/32) (*.f64 x 1/4))))
(*.f64 (pow.f64 8 1/6) (+.f64 (*.f64 (*.f64 x x) 3/32) (+.f64 1 (*.f64 x 1/4))))
(-.f64 (+.f64 (*.f64 3/32 (*.f64 (pow.f64 8 1/6) (pow.f64 x 2))) (+.f64 (*.f64 1/4 (*.f64 (pow.f64 8 1/6) x)) (pow.f64 8 1/6))) (*.f64 65/384 (*.f64 (pow.f64 8 1/6) (pow.f64 x 3))))
(-.f64 (fma.f64 3/32 (*.f64 (*.f64 x x) (pow.f64 8 1/6)) (fma.f64 1/4 (*.f64 x (pow.f64 8 1/6)) (pow.f64 8 1/6))) (*.f64 (pow.f64 x 3) (*.f64 65/384 (pow.f64 8 1/6))))
(-.f64 (+.f64 (pow.f64 8 1/6) (*.f64 (pow.f64 8 1/6) (+.f64 (*.f64 (*.f64 x x) 3/32) (*.f64 x 1/4)))) (*.f64 (pow.f64 x 3) (*.f64 (pow.f64 8 1/6) 65/384)))
(*.f64 (pow.f64 8 1/6) (-.f64 (+.f64 (*.f64 (*.f64 x x) 3/32) (+.f64 1 (*.f64 x 1/4))) (*.f64 (pow.f64 x 3) 65/384)))
(exp.f64 (*.f64 1/6 (-.f64 (log.f64 12) (*.f64 2 (log.f64 (/.f64 1 x))))))
(pow.f64 (exp.f64 1/6) (-.f64 (log.f64 12) (*.f64 2 (neg.f64 (log.f64 x)))))
(pow.f64 (exp.f64 1/6) (-.f64 (log.f64 12) (neg.f64 (*.f64 2 (log.f64 x)))))
(+.f64 (*.f64 1/6 (/.f64 (exp.f64 (*.f64 1/6 (-.f64 (log.f64 12) (*.f64 2 (log.f64 (/.f64 1 x)))))) x)) (exp.f64 (*.f64 1/6 (-.f64 (log.f64 12) (*.f64 2 (log.f64 (/.f64 1 x)))))))
(fma.f64 1/6 (/.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 12) (*.f64 2 (neg.f64 (log.f64 x))))) x) (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 12) (*.f64 2 (neg.f64 (log.f64 x))))))
(/.f64 (*.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 12) (neg.f64 (*.f64 2 (log.f64 x))))) (+.f64 1/6 x)) x)
(+.f64 (*.f64 1/6 (/.f64 (exp.f64 (*.f64 1/6 (-.f64 (log.f64 12) (*.f64 2 (log.f64 (/.f64 1 x)))))) x)) (+.f64 (exp.f64 (*.f64 1/6 (-.f64 (log.f64 12) (*.f64 2 (log.f64 (/.f64 1 x)))))) (*.f64 1/24 (/.f64 (exp.f64 (*.f64 1/6 (-.f64 (log.f64 12) (*.f64 2 (log.f64 (/.f64 1 x)))))) (pow.f64 x 2)))))
(+.f64 (/.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 12) (*.f64 2 (neg.f64 (log.f64 x))))) (/.f64 (*.f64 x x) 1/24)) (fma.f64 1/6 (/.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 12) (*.f64 2 (neg.f64 (log.f64 x))))) x) (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 12) (*.f64 2 (neg.f64 (log.f64 x)))))))
(fma.f64 1/6 (/.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 12) (*.f64 2 (neg.f64 (log.f64 x))))) x) (fma.f64 1/24 (/.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 12) (*.f64 2 (neg.f64 (log.f64 x))))) (*.f64 x x)) (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 12) (*.f64 2 (neg.f64 (log.f64 x)))))))
(fma.f64 1/24 (/.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 12) (neg.f64 (*.f64 2 (log.f64 x))))) (*.f64 x x)) (/.f64 (*.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 12) (neg.f64 (*.f64 2 (log.f64 x))))) (+.f64 1/6 x)) x))
(-.f64 (+.f64 (*.f64 1/6 (/.f64 (exp.f64 (*.f64 1/6 (-.f64 (log.f64 12) (*.f64 2 (log.f64 (/.f64 1 x)))))) x)) (+.f64 (exp.f64 (*.f64 1/6 (-.f64 (log.f64 12) (*.f64 2 (log.f64 (/.f64 1 x)))))) (*.f64 1/24 (/.f64 (exp.f64 (*.f64 1/6 (-.f64 (log.f64 12) (*.f64 2 (log.f64 (/.f64 1 x)))))) (pow.f64 x 2))))) (*.f64 65/1296 (/.f64 (exp.f64 (*.f64 1/6 (-.f64 (log.f64 12) (*.f64 2 (log.f64 (/.f64 1 x)))))) (pow.f64 x 3))))
(-.f64 (+.f64 (/.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 12) (*.f64 2 (neg.f64 (log.f64 x))))) (/.f64 (*.f64 x x) 1/24)) (fma.f64 1/6 (/.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 12) (*.f64 2 (neg.f64 (log.f64 x))))) x) (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 12) (*.f64 2 (neg.f64 (log.f64 x))))))) (/.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 12) (*.f64 2 (neg.f64 (log.f64 x))))) (/.f64 (pow.f64 x 3) 65/1296)))
(-.f64 (fma.f64 1/6 (/.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 12) (*.f64 2 (neg.f64 (log.f64 x))))) x) (fma.f64 1/24 (/.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 12) (*.f64 2 (neg.f64 (log.f64 x))))) (*.f64 x x)) (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 12) (*.f64 2 (neg.f64 (log.f64 x))))))) (/.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 12) (*.f64 2 (neg.f64 (log.f64 x))))) (/.f64 (pow.f64 x 3) 65/1296)))
(-.f64 (fma.f64 1/24 (/.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 12) (neg.f64 (*.f64 2 (log.f64 x))))) (*.f64 x x)) (/.f64 (*.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 12) (neg.f64 (*.f64 2 (log.f64 x))))) (+.f64 1/6 x)) x)) (/.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 12) (neg.f64 (*.f64 2 (log.f64 x))))) (/.f64 (pow.f64 x 3) 65/1296)))
(exp.f64 (*.f64 1/6 (-.f64 (log.f64 12) (*.f64 2 (log.f64 (/.f64 -1 x))))))
(pow.f64 (exp.f64 1/6) (-.f64 (log.f64 12) (*.f64 2 (log.f64 (/.f64 -1 x)))))
(+.f64 (*.f64 1/6 (/.f64 (exp.f64 (*.f64 1/6 (-.f64 (log.f64 12) (*.f64 2 (log.f64 (/.f64 -1 x)))))) x)) (exp.f64 (*.f64 1/6 (-.f64 (log.f64 12) (*.f64 2 (log.f64 (/.f64 -1 x)))))))
(fma.f64 1/6 (/.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 12) (*.f64 2 (log.f64 (/.f64 -1 x))))) x) (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 12) (*.f64 2 (log.f64 (/.f64 -1 x))))))
(/.f64 (*.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 12) (*.f64 2 (log.f64 (/.f64 -1 x))))) (+.f64 1/6 x)) x)
(+.f64 (*.f64 1/6 (/.f64 (exp.f64 (*.f64 1/6 (-.f64 (log.f64 12) (*.f64 2 (log.f64 (/.f64 -1 x)))))) x)) (+.f64 (*.f64 1/24 (/.f64 (exp.f64 (*.f64 1/6 (-.f64 (log.f64 12) (*.f64 2 (log.f64 (/.f64 -1 x)))))) (pow.f64 x 2))) (exp.f64 (*.f64 1/6 (-.f64 (log.f64 12) (*.f64 2 (log.f64 (/.f64 -1 x))))))))
(fma.f64 1/6 (/.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 12) (*.f64 2 (log.f64 (/.f64 -1 x))))) x) (fma.f64 1/24 (/.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 12) (*.f64 2 (log.f64 (/.f64 -1 x))))) (*.f64 x x)) (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 12) (*.f64 2 (log.f64 (/.f64 -1 x)))))))
(fma.f64 1/24 (/.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 12) (*.f64 2 (log.f64 (/.f64 -1 x))))) (*.f64 x x)) (/.f64 (*.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 12) (*.f64 2 (log.f64 (/.f64 -1 x))))) (+.f64 1/6 x)) x))
(-.f64 (+.f64 (*.f64 1/6 (/.f64 (exp.f64 (*.f64 1/6 (-.f64 (log.f64 12) (*.f64 2 (log.f64 (/.f64 -1 x)))))) x)) (+.f64 (*.f64 1/24 (/.f64 (exp.f64 (*.f64 1/6 (-.f64 (log.f64 12) (*.f64 2 (log.f64 (/.f64 -1 x)))))) (pow.f64 x 2))) (exp.f64 (*.f64 1/6 (-.f64 (log.f64 12) (*.f64 2 (log.f64 (/.f64 -1 x)))))))) (*.f64 65/1296 (/.f64 (exp.f64 (*.f64 1/6 (-.f64 (log.f64 12) (*.f64 2 (log.f64 (/.f64 -1 x)))))) (pow.f64 x 3))))
(-.f64 (fma.f64 1/6 (/.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 12) (*.f64 2 (log.f64 (/.f64 -1 x))))) x) (fma.f64 1/24 (/.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 12) (*.f64 2 (log.f64 (/.f64 -1 x))))) (*.f64 x x)) (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 12) (*.f64 2 (log.f64 (/.f64 -1 x))))))) (/.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 12) (*.f64 2 (log.f64 (/.f64 -1 x))))) (/.f64 (pow.f64 x 3) 65/1296)))
(-.f64 (fma.f64 1/6 (/.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 12) (*.f64 2 (log.f64 (/.f64 -1 x))))) x) (fma.f64 1/24 (/.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 12) (*.f64 2 (log.f64 (/.f64 -1 x))))) (*.f64 x x)) (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 12) (*.f64 2 (log.f64 (/.f64 -1 x))))))) (*.f64 65/1296 (/.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 12) (*.f64 2 (log.f64 (/.f64 -1 x))))) (pow.f64 x 3))))
(-.f64 (fma.f64 1/24 (/.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 12) (*.f64 2 (log.f64 (/.f64 -1 x))))) (*.f64 x x)) (/.f64 (*.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 12) (*.f64 2 (log.f64 (/.f64 -1 x))))) (+.f64 1/6 x)) x)) (*.f64 65/1296 (/.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 12) (*.f64 2 (log.f64 (/.f64 -1 x))))) (pow.f64 x 3))))
8
(+.f64 8 (*.f64 12 x))
(+.f64 8 (*.f64 x 12))
(fma.f64 x 12 8)
(+.f64 8 (+.f64 (*.f64 12 (pow.f64 x 2)) (*.f64 12 x)))
(+.f64 8 (*.f64 12 (+.f64 (*.f64 x x) x)))
(fma.f64 12 (fma.f64 x x x) 8)
(+.f64 8 (+.f64 (*.f64 12 (pow.f64 x 2)) (*.f64 12 x)))
(+.f64 8 (*.f64 12 (+.f64 (*.f64 x x) x)))
(fma.f64 12 (fma.f64 x x x) 8)
(*.f64 12 (pow.f64 x 2))
(*.f64 (*.f64 x x) 12)
(*.f64 x (*.f64 x 12))
(+.f64 (*.f64 12 (pow.f64 x 2)) (*.f64 12 x))
(*.f64 12 (+.f64 (*.f64 x x) x))
(*.f64 12 (fma.f64 x x x))
(+.f64 8 (+.f64 (*.f64 12 (pow.f64 x 2)) (*.f64 12 x)))
(+.f64 8 (*.f64 12 (+.f64 (*.f64 x x) x)))
(fma.f64 12 (fma.f64 x x x) 8)
(+.f64 8 (+.f64 (*.f64 12 (pow.f64 x 2)) (*.f64 12 x)))
(+.f64 8 (*.f64 12 (+.f64 (*.f64 x x) x)))
(fma.f64 12 (fma.f64 x x x) 8)
(*.f64 12 (pow.f64 x 2))
(*.f64 (*.f64 x x) 12)
(*.f64 x (*.f64 x 12))
(+.f64 (*.f64 12 (pow.f64 x 2)) (*.f64 12 x))
(*.f64 12 (+.f64 (*.f64 x x) x))
(*.f64 12 (fma.f64 x x x))
(+.f64 8 (+.f64 (*.f64 12 (pow.f64 x 2)) (*.f64 12 x)))
(+.f64 8 (*.f64 12 (+.f64 (*.f64 x x) x)))
(fma.f64 12 (fma.f64 x x x) 8)
(+.f64 8 (+.f64 (*.f64 12 (pow.f64 x 2)) (*.f64 12 x)))
(+.f64 8 (*.f64 12 (+.f64 (*.f64 x x) x)))
(fma.f64 12 (fma.f64 x x x) 8)

prune83.0ms (2.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1460146
Fresh000
Picked011
Done011
Total1462148
Error
0b
Counts
148 → 2
Alt Table
StatusErrorProgram
✓0.0b
(sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 3)))
✓22.6b
(sqrt.f64 (cbrt.f64 (fma.f64 12 (fma.f64 x x x) 8)))
Compiler

Compiled 2656 to 1877 computations (29.3% saved)

regimes177.0ms (4.4%)

Accuracy

Total 0.0b remaining (11%)

Threshold costs 0.0b (11%)

Counts
53 → 1
Compiler

Compiled 1716 to 1313 computations (23.5% saved)

simplify1.0ms (0%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01018
Stop Event
1×saturated
Calls
Call 1
Inputs
(sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 3)))
Outputs
(sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 3)))

end51.0ms (1.3%)

Stop Event
1×done
Compiler

Compiled 46 to 34 computations (26.1% saved)

Profiling

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