Details

Time bar (total: 1.8s)

analyze3.0ms (0.2%)

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
50%50%50%0%0%0%0%3
75%75%25%0%0%0%0%4
87.5%87.5%12.5%0%0%0%0%5
93.8%93.7%6.2%0%0%0%0%6
96.9%96.8%3.1%0%0%0%0%7
98.4%98.4%1.6%0%0%0%0%8
99.2%99.2%0.8%0%0%0%0%9
99.6%99.6%0.4%0%0%0%0%10
99.8%99.8%0.2%0%0%0%0%11
99.9%99.9%0.1%0%0%0%0%12
Compiler

Compiled 7 to 6 computations (14.3% saved)

sample920.0ms (51.7%)

Results
906.0ms8256×body256valid
Bogosity

preprocess4.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0713
1813
011
Stop Event
1×saturated
1×saturated
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(/.f64 (+.f64 x 16) 116)
Outputs
(/.f64 (+.f64 x 16) 116)
Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify16.0ms (0.9%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0713
1813
Stop Event
1×saturated
Counts
1 → 1
Calls
Call 1
Inputs
(/.f64 (+.f64 x 16) 116)
Outputs
(/.f64 (+.f64 x 16) 116)

eval0.0ms (0%)

Compiler

Compiled 6 to 5 computations (16.7% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0.0b
Counts
2 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.0b
(/.f64 (+.f64 x 16) 116)
Compiler

Compiled 6 to 5 computations (16.7% saved)

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 (+.f64 x 16) 116)
Compiler

Compiled 12 to 9 computations (25% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@inf
(/.f64 (+.f64 x 16) 116)
0.0ms
x
@-inf
(/.f64 (+.f64 x 16) 116)
0.0ms
x
@0
(/.f64 (+.f64 x 16) 116)

rewrite55.0ms (3.1%)

Algorithm
1×batch-egg-rewrite
Rules
1628×add-sqr-sqrt
1586×*-un-lft-identity
1518×add-cube-cbrt
1508×add-cbrt-cube
154×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0713
116113
2197613
Stop Event
1×node limit
Counts
1 → 25
Calls
Call 1
Inputs
(/.f64 (+.f64 x 16) 116)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 x 16) 1/116))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x 16) 1/116)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 x 16) 1/116) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (+.f64 x 16) 1/116))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x 16)) (*.f64 (sqrt.f64 (+.f64 x 16)) 1/116))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (+.f64 x 16) 1/116)) (sqrt.f64 (*.f64 (+.f64 x 16) 1/116)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x 16)) 2) (*.f64 (cbrt.f64 (+.f64 x 16)) 1/116))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (+.f64 x 16) 1/116)) (pow.f64 (cbrt.f64 (*.f64 (+.f64 x 16) 1/116)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 x 16) 1/116)) 2) (cbrt.f64 (*.f64 (+.f64 x 16) 1/116)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/116 (+.f64 x 16))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (neg.f64 x) -16) -1/116)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 x 16) 1/116) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (+.f64 x 16) 1/116)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 x 16) 1/116)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 x 16) 1/116) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 116 (+.f64 x 16)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 x 16) -116))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (+.f64 x 16) 2) 1/13456))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (+.f64 x 16)) 1/116))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 x 16) 1/116))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 x 16) 1/116) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 x 16) 1/116)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (+.f64 x 16) 1/116)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 x 16) 1/116)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 x 16) 1/116)))))))

simplify56.0ms (3.1%)

Algorithm
1×egg-herbie
Rules
1500×associate-*r/
810×fma-def
806×associate-+r+
752×*-commutative
742×associate-+l+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
068457
1151321
2567321
32423321
45657321
Stop Event
1×node limit
Counts
37 → 29
Calls
Call 1
Inputs
4/29
(+.f64 4/29 (*.f64 1/116 x))
(+.f64 4/29 (*.f64 1/116 x))
(+.f64 4/29 (*.f64 1/116 x))
(*.f64 1/116 x)
(+.f64 4/29 (*.f64 1/116 x))
(+.f64 4/29 (*.f64 1/116 x))
(+.f64 4/29 (*.f64 1/116 x))
(*.f64 1/116 x)
(+.f64 4/29 (*.f64 1/116 x))
(+.f64 4/29 (*.f64 1/116 x))
(+.f64 4/29 (*.f64 1/116 x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 x 16) 1/116))) 1)
(*.f64 (+.f64 x 16) 1/116)
(*.f64 (*.f64 (+.f64 x 16) 1/116) 1)
(*.f64 1 (*.f64 (+.f64 x 16) 1/116))
(*.f64 (sqrt.f64 (+.f64 x 16)) (*.f64 (sqrt.f64 (+.f64 x 16)) 1/116))
(*.f64 (sqrt.f64 (*.f64 (+.f64 x 16) 1/116)) (sqrt.f64 (*.f64 (+.f64 x 16) 1/116)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 16)) 2) (*.f64 (cbrt.f64 (+.f64 x 16)) 1/116))
(*.f64 (cbrt.f64 (*.f64 (+.f64 x 16) 1/116)) (pow.f64 (cbrt.f64 (*.f64 (+.f64 x 16) 1/116)) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 x 16) 1/116)) 2) (cbrt.f64 (*.f64 (+.f64 x 16) 1/116)))
(*.f64 1/116 (+.f64 x 16))
(*.f64 (+.f64 (neg.f64 x) -16) -1/116)
(pow.f64 (*.f64 (+.f64 x 16) 1/116) 1)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 x 16) 1/116)) 2)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 x 16) 1/116)) 3)
(pow.f64 (pow.f64 (*.f64 (+.f64 x 16) 1/116) 3) 1/3)
(pow.f64 (/.f64 116 (+.f64 x 16)) -1)
(neg.f64 (/.f64 (+.f64 x 16) -116))
(sqrt.f64 (*.f64 (pow.f64 (+.f64 x 16) 2) 1/13456))
(log.f64 (pow.f64 (exp.f64 (+.f64 x 16)) 1/116))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 x 16) 1/116))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 x 16) 1/116) 3))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 x 16) 1/116)))
(exp.f64 (log.f64 (*.f64 (+.f64 x 16) 1/116)))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 x 16) 1/116)) 1))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 x 16) 1/116)))
Outputs
4/29
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(*.f64 1/116 x)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(*.f64 1/116 x)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 x 16) 1/116))) 1)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(*.f64 (+.f64 x 16) 1/116)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(*.f64 (*.f64 (+.f64 x 16) 1/116) 1)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(*.f64 1 (*.f64 (+.f64 x 16) 1/116))
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(*.f64 (sqrt.f64 (+.f64 x 16)) (*.f64 (sqrt.f64 (+.f64 x 16)) 1/116))
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(*.f64 (sqrt.f64 (*.f64 (+.f64 x 16) 1/116)) (sqrt.f64 (*.f64 (+.f64 x 16) 1/116)))
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 16)) 2) (*.f64 (cbrt.f64 (+.f64 x 16)) 1/116))
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(*.f64 (cbrt.f64 (*.f64 (+.f64 x 16) 1/116)) (pow.f64 (cbrt.f64 (*.f64 (+.f64 x 16) 1/116)) 2))
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 x 16) 1/116)) 2) (cbrt.f64 (*.f64 (+.f64 x 16) 1/116)))
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(*.f64 1/116 (+.f64 x 16))
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(*.f64 (+.f64 (neg.f64 x) -16) -1/116)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(pow.f64 (*.f64 (+.f64 x 16) 1/116) 1)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 x 16) 1/116)) 2)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 x 16) 1/116)) 3)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(pow.f64 (pow.f64 (*.f64 (+.f64 x 16) 1/116) 3) 1/3)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(pow.f64 (/.f64 116 (+.f64 x 16)) -1)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(neg.f64 (/.f64 (+.f64 x 16) -116))
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(sqrt.f64 (*.f64 (pow.f64 (+.f64 x 16) 2) 1/13456))
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(log.f64 (pow.f64 (exp.f64 (+.f64 x 16)) 1/116))
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 x 16) 1/116))))
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(cbrt.f64 (pow.f64 (*.f64 (+.f64 x 16) 1/116) 3))
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(expm1.f64 (log1p.f64 (*.f64 (+.f64 x 16) 1/116)))
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(exp.f64 (log.f64 (*.f64 (+.f64 x 16) 1/116)))
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 x 16) 1/116)) 1))
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(log1p.f64 (expm1.f64 (*.f64 (+.f64 x 16) 1/116)))
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)

eval6.0ms (0.3%)

Compiler

Compiled 227 to 194 computations (14.5% saved)

prune5.0ms (0.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New25429
Fresh000
Picked011
Done000
Total25530
Error
0b
Counts
30 → 5
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.1b
(pow.f64 (/.f64 116 (+.f64 x 16)) -1)
✓0.0b
(/.f64 (+.f64 x 16) 116)
▶0.1b
(+.f64 4/29 (*.f64 1/116 x))
▶34.2b
(*.f64 1/116 x)
29.1b
4/29
Compiler

Compiled 26 to 22 computations (15.4% saved)

localize6.0ms (0.3%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.1b
(*.f64 1/116 x)
Compiler

Compiled 6 to 4 computations (33.3% saved)

series1.0ms (0.1%)

Counts
1 → 0
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@-inf
(*.f64 1/116 x)
0.0ms
x
@inf
(*.f64 1/116 x)
0.0ms
x
@0
(*.f64 1/116 x)

rewrite50.0ms (2.8%)

Algorithm
1×batch-egg-rewrite
Rules
920×associate-*l*
902×add-sqr-sqrt
884×*-un-lft-identity
842×pow1
826×add-cube-cbrt
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
11007
211107
Stop Event
1×node limit
Counts
1 → 11
Calls
Call 1
Inputs
(*.f64 1/116 x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 1/116 x) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/116 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 1/116 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/116 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/116 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 x (*.f64 x 1/13456)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/116) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/116 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/116 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/116 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/116 x)))))))

simplify62.0ms (3.5%)

Algorithm
1×egg-herbie
Rules
858×log-prod
794×associate-+r-
788×+-commutative
696×fma-def
682×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
033143
18477
226077
3180977
4398077
5643077
Stop Event
1×node limit
Counts
11 → 13
Calls
Call 1
Inputs
(-.f64 (+.f64 (*.f64 1/116 x) 1) 1)
(pow.f64 (*.f64 1/116 x) 1)
(pow.f64 (sqrt.f64 (*.f64 1/116 x)) 2)
(pow.f64 (cbrt.f64 (*.f64 1/116 x)) 3)
(pow.f64 (pow.f64 (*.f64 1/116 x) 3) 1/3)
(sqrt.f64 (*.f64 x (*.f64 x 1/13456)))
(log.f64 (pow.f64 (exp.f64 1/116) x))
(cbrt.f64 (pow.f64 (*.f64 1/116 x) 3))
(expm1.f64 (log1p.f64 (*.f64 1/116 x)))
(exp.f64 (log.f64 (*.f64 1/116 x)))
(log1p.f64 (expm1.f64 (*.f64 1/116 x)))
Outputs
(-.f64 (+.f64 (*.f64 1/116 x) 1) 1)
(+.f64 (*.f64 1/116 x) 0)
(*.f64 1/116 x)
(pow.f64 (*.f64 1/116 x) 1)
(+.f64 (*.f64 1/116 x) 0)
(*.f64 1/116 x)
(pow.f64 (sqrt.f64 (*.f64 1/116 x)) 2)
(+.f64 (*.f64 1/116 x) 0)
(*.f64 1/116 x)
(pow.f64 (cbrt.f64 (*.f64 1/116 x)) 3)
(+.f64 (*.f64 1/116 x) 0)
(*.f64 1/116 x)
(pow.f64 (pow.f64 (*.f64 1/116 x) 3) 1/3)
(+.f64 (*.f64 1/116 x) 0)
(*.f64 1/116 x)
(sqrt.f64 (*.f64 x (*.f64 x 1/13456)))
(+.f64 (*.f64 1/116 x) 0)
(*.f64 1/116 x)
(log.f64 (pow.f64 (exp.f64 1/116) x))
(+.f64 (*.f64 1/116 x) 0)
(*.f64 1/116 x)
(cbrt.f64 (pow.f64 (*.f64 1/116 x) 3))
(+.f64 (*.f64 1/116 x) 0)
(*.f64 1/116 x)
(expm1.f64 (log1p.f64 (*.f64 1/116 x)))
(+.f64 (*.f64 1/116 x) 0)
(*.f64 1/116 x)
(exp.f64 (log.f64 (*.f64 1/116 x)))
(+.f64 (*.f64 1/116 x) 0)
(*.f64 1/116 x)
(log1p.f64 (expm1.f64 (*.f64 1/116 x)))
(+.f64 (*.f64 1/116 x) 0)
(*.f64 1/116 x)

localize5.0ms (0.3%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 4/29 (*.f64 1/116 x))
0.1b
(*.f64 1/116 x)
Compiler

Compiled 12 to 9 computations (25% saved)

series0.0ms (0%)

Counts
1 → 3
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@inf
(+.f64 4/29 (*.f64 1/116 x))
0.0ms
x
@-inf
(+.f64 4/29 (*.f64 1/116 x))
0.0ms
x
@0
(+.f64 4/29 (*.f64 1/116 x))

rewrite56.0ms (3.1%)

Algorithm
1×batch-egg-rewrite
Rules
1538×add-sqr-sqrt
1502×*-un-lft-identity
1426×add-cube-cbrt
1416×add-cbrt-cube
1402×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0713
11529
218399
Stop Event
1×node limit
Counts
1 → 33
Calls
Call 1
Inputs
(+.f64 4/29 (*.f64 1/116 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 1/116 x 4/29)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 16/841 (+.f64 4/29 (*.f64 -1/116 x))) (/.f64 (*.f64 (*.f64 x x) 1/13456) (+.f64 4/29 (*.f64 -1/116 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 1/116 x 4/29) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 1/116 x 4/29))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 1/116 x 4/29)) (sqrt.f64 (fma.f64 1/116 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 1/116 x 4/29)) (pow.f64 (cbrt.f64 (fma.f64 1/116 x 4/29)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 1/116 x 4/29)) 2) (cbrt.f64 (fma.f64 1/116 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 16/841 (*.f64 (*.f64 x x) 1/13456)) (/.f64 1 (+.f64 4/29 (*.f64 -1/116 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 64/24389 (*.f64 (pow.f64 x 3) 1/1560896)) (/.f64 1 (+.f64 16/841 (-.f64 (*.f64 (*.f64 x x) 1/13456) (*.f64 1/841 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 4/29 (*.f64 -1/116 x)) (-.f64 16/841 (*.f64 (*.f64 x x) 1/13456))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 16/841 (-.f64 (*.f64 (*.f64 x x) 1/13456) (*.f64 1/841 x))) (+.f64 64/24389 (*.f64 (pow.f64 x 3) 1/1560896))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 16/841 (*.f64 (*.f64 x x) 1/13456)) (+.f64 4/29 (*.f64 -1/116 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 64/24389 (*.f64 (pow.f64 x 3) 1/1560896)) (+.f64 16/841 (-.f64 (*.f64 (*.f64 x x) 1/13456) (*.f64 1/841 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 64/24389 (*.f64 (pow.f64 x 3) 1/1560896)) (+.f64 (*.f64 (*.f64 x x) 1/13456) (-.f64 16/841 (*.f64 1/841 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x x) 1/13456) 16/841) (-.f64 (*.f64 1/116 x) 4/29))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 16/841 (*.f64 (*.f64 x x) 1/13456))) (neg.f64 (+.f64 4/29 (*.f64 -1/116 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 64/24389 (*.f64 (pow.f64 x 3) 1/1560896))) (neg.f64 (+.f64 16/841 (-.f64 (*.f64 (*.f64 x x) 1/13456) (*.f64 1/841 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 1/116 x 4/29) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 1/116 x 4/29)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 1/116 x 4/29)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 1/116 x 4/29) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 1/116 x 4/29) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 1/116 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 1/116 x 4/29) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 1/116 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 1/116 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 1/116 x 4/29)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 1/116 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/116 x 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1/116 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 1/116 x) 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 1/116 x)) (sqrt.f64 (*.f64 1/116 x)) 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (*.f64 x x) 1/13456)) (cbrt.f64 (*.f64 1/116 x)) 4/29)))))

simplify52.0ms (2.9%)

Algorithm
1×egg-herbie
Rules
1148×distribute-lft-in
1064×distribute-rgt-in
914×associate-/l*
908×associate-*r*
892×*-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0901018
1208788
2755598
33359598
Stop Event
1×node limit
Counts
36 → 45
Calls
Call 1
Inputs
4/29
(*.f64 1/116 x)
(*.f64 1/116 x)
(-.f64 (+.f64 1 (fma.f64 1/116 x 4/29)) 1)
(-.f64 (/.f64 16/841 (+.f64 4/29 (*.f64 -1/116 x))) (/.f64 (*.f64 (*.f64 x x) 1/13456) (+.f64 4/29 (*.f64 -1/116 x))))
(*.f64 (fma.f64 1/116 x 4/29) 1)
(*.f64 1 (fma.f64 1/116 x 4/29))
(*.f64 (sqrt.f64 (fma.f64 1/116 x 4/29)) (sqrt.f64 (fma.f64 1/116 x 4/29)))
(*.f64 (cbrt.f64 (fma.f64 1/116 x 4/29)) (pow.f64 (cbrt.f64 (fma.f64 1/116 x 4/29)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/116 x 4/29)) 2) (cbrt.f64 (fma.f64 1/116 x 4/29)))
(*.f64 (-.f64 16/841 (*.f64 (*.f64 x x) 1/13456)) (/.f64 1 (+.f64 4/29 (*.f64 -1/116 x))))
(*.f64 (+.f64 64/24389 (*.f64 (pow.f64 x 3) 1/1560896)) (/.f64 1 (+.f64 16/841 (-.f64 (*.f64 (*.f64 x x) 1/13456) (*.f64 1/841 x)))))
(/.f64 1 (/.f64 (+.f64 4/29 (*.f64 -1/116 x)) (-.f64 16/841 (*.f64 (*.f64 x x) 1/13456))))
(/.f64 1 (/.f64 (+.f64 16/841 (-.f64 (*.f64 (*.f64 x x) 1/13456) (*.f64 1/841 x))) (+.f64 64/24389 (*.f64 (pow.f64 x 3) 1/1560896))))
(/.f64 (-.f64 16/841 (*.f64 (*.f64 x x) 1/13456)) (+.f64 4/29 (*.f64 -1/116 x)))
(/.f64 (+.f64 64/24389 (*.f64 (pow.f64 x 3) 1/1560896)) (+.f64 16/841 (-.f64 (*.f64 (*.f64 x x) 1/13456) (*.f64 1/841 x))))
(/.f64 (+.f64 64/24389 (*.f64 (pow.f64 x 3) 1/1560896)) (+.f64 (*.f64 (*.f64 x x) 1/13456) (-.f64 16/841 (*.f64 1/841 x))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) 1/13456) 16/841) (-.f64 (*.f64 1/116 x) 4/29))
(/.f64 (neg.f64 (-.f64 16/841 (*.f64 (*.f64 x x) 1/13456))) (neg.f64 (+.f64 4/29 (*.f64 -1/116 x))))
(/.f64 (neg.f64 (+.f64 64/24389 (*.f64 (pow.f64 x 3) 1/1560896))) (neg.f64 (+.f64 16/841 (-.f64 (*.f64 (*.f64 x x) 1/13456) (*.f64 1/841 x)))))
(pow.f64 (fma.f64 1/116 x 4/29) 1)
(pow.f64 (sqrt.f64 (fma.f64 1/116 x 4/29)) 2)
(pow.f64 (cbrt.f64 (fma.f64 1/116 x 4/29)) 3)
(pow.f64 (pow.f64 (fma.f64 1/116 x 4/29) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 1/116 x 4/29) 2))
(log.f64 (exp.f64 (fma.f64 1/116 x 4/29)))
(cbrt.f64 (pow.f64 (fma.f64 1/116 x 4/29) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/116 x 4/29)))
(exp.f64 (log.f64 (fma.f64 1/116 x 4/29)))
(exp.f64 (*.f64 (log.f64 (fma.f64 1/116 x 4/29)) 1))
(log1p.f64 (expm1.f64 (fma.f64 1/116 x 4/29)))
(fma.f64 1/116 x 4/29)
(fma.f64 x 1/116 4/29)
(fma.f64 1 (*.f64 1/116 x) 4/29)
(fma.f64 (sqrt.f64 (*.f64 1/116 x)) (sqrt.f64 (*.f64 1/116 x)) 4/29)
(fma.f64 (cbrt.f64 (*.f64 (*.f64 x x) 1/13456)) (cbrt.f64 (*.f64 1/116 x)) 4/29)
Outputs
4/29
(*.f64 1/116 x)
(*.f64 1/116 x)
(-.f64 (+.f64 1 (fma.f64 1/116 x 4/29)) 1)
(+.f64 1 (-.f64 (fma.f64 1/116 x 4/29) 1))
(+.f64 (fma.f64 1/116 x 4/29) 0)
(fma.f64 1/116 x 4/29)
(-.f64 (/.f64 16/841 (+.f64 4/29 (*.f64 -1/116 x))) (/.f64 (*.f64 (*.f64 x x) 1/13456) (+.f64 4/29 (*.f64 -1/116 x))))
(/.f64 (-.f64 16/841 (*.f64 x (*.f64 x 1/13456))) (+.f64 4/29 (*.f64 x -1/116)))
(/.f64 (+.f64 16/841 (*.f64 (*.f64 x x) -1/13456)) (fma.f64 x -1/116 4/29))
(/.f64 (fma.f64 x (*.f64 x -1/13456) 16/841) (fma.f64 x -1/116 4/29))
(/.f64 (fma.f64 (*.f64 x x) 1/13456 -16/841) (fma.f64 1/116 x -4/29))
(*.f64 (fma.f64 1/116 x 4/29) 1)
(+.f64 1 (-.f64 (fma.f64 1/116 x 4/29) 1))
(+.f64 (fma.f64 1/116 x 4/29) 0)
(fma.f64 1/116 x 4/29)
(*.f64 1 (fma.f64 1/116 x 4/29))
(+.f64 1 (-.f64 (fma.f64 1/116 x 4/29) 1))
(+.f64 (fma.f64 1/116 x 4/29) 0)
(fma.f64 1/116 x 4/29)
(*.f64 (sqrt.f64 (fma.f64 1/116 x 4/29)) (sqrt.f64 (fma.f64 1/116 x 4/29)))
(+.f64 1 (-.f64 (fma.f64 1/116 x 4/29) 1))
(+.f64 (fma.f64 1/116 x 4/29) 0)
(fma.f64 1/116 x 4/29)
(*.f64 (cbrt.f64 (fma.f64 1/116 x 4/29)) (pow.f64 (cbrt.f64 (fma.f64 1/116 x 4/29)) 2))
(+.f64 1 (-.f64 (fma.f64 1/116 x 4/29) 1))
(+.f64 (fma.f64 1/116 x 4/29) 0)
(fma.f64 1/116 x 4/29)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/116 x 4/29)) 2) (cbrt.f64 (fma.f64 1/116 x 4/29)))
(+.f64 1 (-.f64 (fma.f64 1/116 x 4/29) 1))
(+.f64 (fma.f64 1/116 x 4/29) 0)
(fma.f64 1/116 x 4/29)
(*.f64 (-.f64 16/841 (*.f64 (*.f64 x x) 1/13456)) (/.f64 1 (+.f64 4/29 (*.f64 -1/116 x))))
(/.f64 (-.f64 16/841 (*.f64 x (*.f64 x 1/13456))) (+.f64 4/29 (*.f64 x -1/116)))
(/.f64 (+.f64 16/841 (*.f64 (*.f64 x x) -1/13456)) (fma.f64 x -1/116 4/29))
(/.f64 (fma.f64 x (*.f64 x -1/13456) 16/841) (fma.f64 x -1/116 4/29))
(/.f64 (fma.f64 (*.f64 x x) 1/13456 -16/841) (fma.f64 1/116 x -4/29))
(*.f64 (+.f64 64/24389 (*.f64 (pow.f64 x 3) 1/1560896)) (/.f64 1 (+.f64 16/841 (-.f64 (*.f64 (*.f64 x x) 1/13456) (*.f64 1/841 x)))))
(*.f64 (+.f64 64/24389 (*.f64 (pow.f64 x 3) 1/1560896)) (/.f64 1 (+.f64 16/841 (+.f64 (*.f64 x (*.f64 x 1/13456)) (*.f64 -1/841 x)))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/1560896 64/24389) (+.f64 16/841 (*.f64 x (-.f64 (*.f64 x 1/13456) 1/841))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/1560896 64/24389) (fma.f64 x (fma.f64 x 1/13456 -1/841) 16/841))
(/.f64 1 (/.f64 (+.f64 4/29 (*.f64 -1/116 x)) (-.f64 16/841 (*.f64 (*.f64 x x) 1/13456))))
(/.f64 (-.f64 16/841 (*.f64 x (*.f64 x 1/13456))) (+.f64 4/29 (*.f64 x -1/116)))
(/.f64 (+.f64 16/841 (*.f64 (*.f64 x x) -1/13456)) (fma.f64 x -1/116 4/29))
(/.f64 (fma.f64 x (*.f64 x -1/13456) 16/841) (fma.f64 x -1/116 4/29))
(/.f64 (fma.f64 (*.f64 x x) 1/13456 -16/841) (fma.f64 1/116 x -4/29))
(/.f64 1 (/.f64 (+.f64 16/841 (-.f64 (*.f64 (*.f64 x x) 1/13456) (*.f64 1/841 x))) (+.f64 64/24389 (*.f64 (pow.f64 x 3) 1/1560896))))
(*.f64 (+.f64 64/24389 (*.f64 (pow.f64 x 3) 1/1560896)) (/.f64 1 (+.f64 16/841 (+.f64 (*.f64 x (*.f64 x 1/13456)) (*.f64 -1/841 x)))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/1560896 64/24389) (+.f64 16/841 (*.f64 x (-.f64 (*.f64 x 1/13456) 1/841))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/1560896 64/24389) (fma.f64 x (fma.f64 x 1/13456 -1/841) 16/841))
(/.f64 (-.f64 16/841 (*.f64 (*.f64 x x) 1/13456)) (+.f64 4/29 (*.f64 -1/116 x)))
(/.f64 (-.f64 16/841 (*.f64 x (*.f64 x 1/13456))) (+.f64 4/29 (*.f64 x -1/116)))
(/.f64 (+.f64 16/841 (*.f64 (*.f64 x x) -1/13456)) (fma.f64 x -1/116 4/29))
(/.f64 (fma.f64 x (*.f64 x -1/13456) 16/841) (fma.f64 x -1/116 4/29))
(/.f64 (fma.f64 (*.f64 x x) 1/13456 -16/841) (fma.f64 1/116 x -4/29))
(/.f64 (+.f64 64/24389 (*.f64 (pow.f64 x 3) 1/1560896)) (+.f64 16/841 (-.f64 (*.f64 (*.f64 x x) 1/13456) (*.f64 1/841 x))))
(*.f64 (+.f64 64/24389 (*.f64 (pow.f64 x 3) 1/1560896)) (/.f64 1 (+.f64 16/841 (+.f64 (*.f64 x (*.f64 x 1/13456)) (*.f64 -1/841 x)))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/1560896 64/24389) (+.f64 16/841 (*.f64 x (-.f64 (*.f64 x 1/13456) 1/841))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/1560896 64/24389) (fma.f64 x (fma.f64 x 1/13456 -1/841) 16/841))
(/.f64 (+.f64 64/24389 (*.f64 (pow.f64 x 3) 1/1560896)) (+.f64 (*.f64 (*.f64 x x) 1/13456) (-.f64 16/841 (*.f64 1/841 x))))
(*.f64 (+.f64 64/24389 (*.f64 (pow.f64 x 3) 1/1560896)) (/.f64 1 (+.f64 16/841 (+.f64 (*.f64 x (*.f64 x 1/13456)) (*.f64 -1/841 x)))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/1560896 64/24389) (+.f64 16/841 (*.f64 x (-.f64 (*.f64 x 1/13456) 1/841))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/1560896 64/24389) (fma.f64 x (fma.f64 x 1/13456 -1/841) 16/841))
(/.f64 (-.f64 (*.f64 (*.f64 x x) 1/13456) 16/841) (-.f64 (*.f64 1/116 x) 4/29))
(/.f64 (-.f64 16/841 (*.f64 x (*.f64 x 1/13456))) (+.f64 4/29 (*.f64 x -1/116)))
(/.f64 (+.f64 16/841 (*.f64 (*.f64 x x) -1/13456)) (fma.f64 x -1/116 4/29))
(/.f64 (fma.f64 x (*.f64 x -1/13456) 16/841) (fma.f64 x -1/116 4/29))
(/.f64 (fma.f64 (*.f64 x x) 1/13456 -16/841) (fma.f64 1/116 x -4/29))
(/.f64 (neg.f64 (-.f64 16/841 (*.f64 (*.f64 x x) 1/13456))) (neg.f64 (+.f64 4/29 (*.f64 -1/116 x))))
(/.f64 (-.f64 16/841 (*.f64 x (*.f64 x 1/13456))) (+.f64 4/29 (*.f64 x -1/116)))
(/.f64 (+.f64 16/841 (*.f64 (*.f64 x x) -1/13456)) (fma.f64 x -1/116 4/29))
(/.f64 (fma.f64 x (*.f64 x -1/13456) 16/841) (fma.f64 x -1/116 4/29))
(/.f64 (fma.f64 (*.f64 x x) 1/13456 -16/841) (fma.f64 1/116 x -4/29))
(/.f64 (neg.f64 (+.f64 64/24389 (*.f64 (pow.f64 x 3) 1/1560896))) (neg.f64 (+.f64 16/841 (-.f64 (*.f64 (*.f64 x x) 1/13456) (*.f64 1/841 x)))))
(*.f64 (+.f64 64/24389 (*.f64 (pow.f64 x 3) 1/1560896)) (/.f64 1 (+.f64 16/841 (+.f64 (*.f64 x (*.f64 x 1/13456)) (*.f64 -1/841 x)))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/1560896 64/24389) (+.f64 16/841 (*.f64 x (-.f64 (*.f64 x 1/13456) 1/841))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/1560896 64/24389) (fma.f64 x (fma.f64 x 1/13456 -1/841) 16/841))
(pow.f64 (fma.f64 1/116 x 4/29) 1)
(+.f64 1 (-.f64 (fma.f64 1/116 x 4/29) 1))
(+.f64 (fma.f64 1/116 x 4/29) 0)
(fma.f64 1/116 x 4/29)
(pow.f64 (sqrt.f64 (fma.f64 1/116 x 4/29)) 2)
(+.f64 1 (-.f64 (fma.f64 1/116 x 4/29) 1))
(+.f64 (fma.f64 1/116 x 4/29) 0)
(fma.f64 1/116 x 4/29)
(pow.f64 (cbrt.f64 (fma.f64 1/116 x 4/29)) 3)
(+.f64 1 (-.f64 (fma.f64 1/116 x 4/29) 1))
(+.f64 (fma.f64 1/116 x 4/29) 0)
(fma.f64 1/116 x 4/29)
(pow.f64 (pow.f64 (fma.f64 1/116 x 4/29) 3) 1/3)
(+.f64 1 (-.f64 (fma.f64 1/116 x 4/29) 1))
(+.f64 (fma.f64 1/116 x 4/29) 0)
(fma.f64 1/116 x 4/29)
(sqrt.f64 (pow.f64 (fma.f64 1/116 x 4/29) 2))
(+.f64 1 (-.f64 (fma.f64 1/116 x 4/29) 1))
(+.f64 (fma.f64 1/116 x 4/29) 0)
(fma.f64 1/116 x 4/29)
(log.f64 (exp.f64 (fma.f64 1/116 x 4/29)))
(+.f64 1 (-.f64 (fma.f64 1/116 x 4/29) 1))
(+.f64 (fma.f64 1/116 x 4/29) 0)
(fma.f64 1/116 x 4/29)
(cbrt.f64 (pow.f64 (fma.f64 1/116 x 4/29) 3))
(+.f64 1 (-.f64 (fma.f64 1/116 x 4/29) 1))
(+.f64 (fma.f64 1/116 x 4/29) 0)
(fma.f64 1/116 x 4/29)
(expm1.f64 (log1p.f64 (fma.f64 1/116 x 4/29)))
(+.f64 1 (-.f64 (fma.f64 1/116 x 4/29) 1))
(+.f64 (fma.f64 1/116 x 4/29) 0)
(fma.f64 1/116 x 4/29)
(exp.f64 (log.f64 (fma.f64 1/116 x 4/29)))
(+.f64 1 (-.f64 (fma.f64 1/116 x 4/29) 1))
(+.f64 (fma.f64 1/116 x 4/29) 0)
(fma.f64 1/116 x 4/29)
(exp.f64 (*.f64 (log.f64 (fma.f64 1/116 x 4/29)) 1))
(+.f64 1 (-.f64 (fma.f64 1/116 x 4/29) 1))
(+.f64 (fma.f64 1/116 x 4/29) 0)
(fma.f64 1/116 x 4/29)
(log1p.f64 (expm1.f64 (fma.f64 1/116 x 4/29)))
(+.f64 1 (-.f64 (fma.f64 1/116 x 4/29) 1))
(+.f64 (fma.f64 1/116 x 4/29) 0)
(fma.f64 1/116 x 4/29)
(fma.f64 1/116 x 4/29)
(+.f64 1 (-.f64 (fma.f64 1/116 x 4/29) 1))
(+.f64 (fma.f64 1/116 x 4/29) 0)
(fma.f64 x 1/116 4/29)
(+.f64 1 (-.f64 (fma.f64 1/116 x 4/29) 1))
(+.f64 (fma.f64 1/116 x 4/29) 0)
(fma.f64 1/116 x 4/29)
(fma.f64 1 (*.f64 1/116 x) 4/29)
(+.f64 1 (-.f64 (fma.f64 1/116 x 4/29) 1))
(+.f64 (fma.f64 1/116 x 4/29) 0)
(fma.f64 1/116 x 4/29)
(fma.f64 (sqrt.f64 (*.f64 1/116 x)) (sqrt.f64 (*.f64 1/116 x)) 4/29)
(+.f64 1 (-.f64 (fma.f64 1/116 x 4/29) 1))
(+.f64 (fma.f64 1/116 x 4/29) 0)
(fma.f64 1/116 x 4/29)
(fma.f64 (cbrt.f64 (*.f64 (*.f64 x x) 1/13456)) (cbrt.f64 (*.f64 1/116 x)) 4/29)
(fma.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/13456))) (cbrt.f64 (*.f64 1/116 x)) 4/29)

localize9.0ms (0.5%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 116 (+.f64 x 16))
✓0.1b
(pow.f64 (/.f64 116 (+.f64 x 16)) -1)
Compiler

Compiled 20 to 16 computations (20% saved)

series2.0ms (0.1%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(pow.f64 (/.f64 116 (+.f64 x 16)) -1)
0.0ms
x
@0
(pow.f64 (/.f64 116 (+.f64 x 16)) -1)
0.0ms
x
@-inf
(pow.f64 (/.f64 116 (+.f64 x 16)) -1)
0.0ms
x
@inf
(/.f64 116 (+.f64 x 16))
0.0ms
x
@0
(/.f64 116 (+.f64 x 16))

rewrite69.0ms (3.9%)

Algorithm
1×batch-egg-rewrite
Rules
1950×add-sqr-sqrt
1900×*-un-lft-identity
1812×add-cube-cbrt
1800×add-cbrt-cube
190×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0932
120526
2245626
Stop Event
1×node limit
Counts
2 → 56
Calls
Call 1
Inputs
(pow.f64 (/.f64 116 (+.f64 x 16)) -1)
(/.f64 116 (+.f64 x 16))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 x 16) 1/116))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x 16) 1/116)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 x 16) 1/116) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (+.f64 x 16) 1/116))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (+.f64 x 16) 1/116)) (sqrt.f64 (*.f64 (+.f64 x 16) 1/116)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (+.f64 x 16) 1/116)) (cbrt.f64 (pow.f64 (/.f64 116 (+.f64 x 16)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 116 (+.f64 x 16)) -2)) (cbrt.f64 (*.f64 (+.f64 x 16) 1/116)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/116 (+.f64 x 16))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/116 (pow.f64 (/.f64 1 (+.f64 x 16)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/116 (+.f64 (neg.f64 x) -16))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 116 (+.f64 x 16))) -1) (pow.f64 (sqrt.f64 (/.f64 116 (+.f64 x 16))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 116 (+.f64 x 16))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 116 (+.f64 x 16))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x 16) 116)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (/.f64 116 (+.f64 x 16))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 116 (+.f64 x 16)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 116 (+.f64 x 16)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 (+.f64 x 16) 1/116)) (sqrt.f64 (/.f64 116 (+.f64 x 16))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 x 16)) (/.f64 116 (sqrt.f64 (+.f64 x 16))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (+.f64 x 16)) 2) (/.f64 116 (cbrt.f64 (+.f64 x 16))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x x -256) (*.f64 116 (+.f64 x -16)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 4096 (pow.f64 x 3)) (*.f64 116 (fma.f64 x x (-.f64 256 (*.f64 x 16)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 x) -16) -116)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/116 (/.f64 1 (+.f64 x 16)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 116 (+.f64 x 16))) 2)) (cbrt.f64 (/.f64 116 (+.f64 x 16))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 116 (+.f64 x 16)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (+.f64 x 16) 1/116)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 x 16) 1/116))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 x 16) 1/116) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 x 16) 1/116)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (+.f64 x 16) 1/116)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 x 16) 1/116)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 x 16) 1/116)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 116 (+.f64 x 16)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 116 (/.f64 1 (+.f64 x 16)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 116 (+.f64 x 16)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 116 (+.f64 x 16)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 116 (+.f64 x 16))) (sqrt.f64 (/.f64 116 (+.f64 x 16))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 116 (+.f64 x 16))) (pow.f64 (cbrt.f64 (/.f64 116 (+.f64 x 16))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 116 (+.f64 x 16))) 2) (cbrt.f64 (/.f64 116 (+.f64 x 16))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x 16)) 116)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -116 (/.f64 1 (+.f64 (neg.f64 x) -16)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 116 (fma.f64 x x -256)) (+.f64 x -16))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 116 (+.f64 4096 (pow.f64 x 3))) (fma.f64 x x (-.f64 256 (*.f64 x 16))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 116 (+.f64 x 16)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 x 16) 1/116) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 116 (+.f64 x 16))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 116 (+.f64 x 16))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 116 (+.f64 x 16)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 116 (+.f64 x 16)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 116 (+.f64 x 16))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 116 (+.f64 x 16)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 116 (+.f64 x 16)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 116 (+.f64 x 16))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 116 (+.f64 x 16))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 116 (+.f64 x 16))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 116 (+.f64 x 16))))))))

simplify65.0ms (3.7%)

Algorithm
1×egg-herbie
Rules
1608×associate-+r+
1520×associate-+l+
730×associate-*r/
574×times-frac
460×unswap-sqr
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01651392
13701216
212821204
359631204
Stop Event
1×node limit
Counts
80 → 99
Calls
Call 1
Inputs
4/29
(+.f64 4/29 (*.f64 1/116 x))
(+.f64 4/29 (*.f64 1/116 x))
(+.f64 4/29 (*.f64 1/116 x))
(*.f64 1/116 x)
(+.f64 4/29 (*.f64 1/116 x))
(+.f64 4/29 (*.f64 1/116 x))
(+.f64 4/29 (*.f64 1/116 x))
(*.f64 1/116 x)
(+.f64 4/29 (*.f64 1/116 x))
(+.f64 4/29 (*.f64 1/116 x))
(+.f64 4/29 (*.f64 1/116 x))
29/4
(+.f64 (*.f64 -29/64 x) 29/4)
(+.f64 (*.f64 -29/64 x) (+.f64 29/4 (*.f64 29/1024 (pow.f64 x 2))))
(+.f64 (*.f64 -29/64 x) (+.f64 29/4 (+.f64 (*.f64 29/1024 (pow.f64 x 2)) (*.f64 -29/16384 (pow.f64 x 3)))))
(/.f64 116 x)
(-.f64 (*.f64 116 (/.f64 1 x)) (*.f64 1856 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 29696 (/.f64 1 (pow.f64 x 3))) (*.f64 116 (/.f64 1 x))) (*.f64 1856 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 29696 (/.f64 1 (pow.f64 x 3))) (*.f64 116 (/.f64 1 x))) (+.f64 (*.f64 475136 (/.f64 1 (pow.f64 x 4))) (*.f64 1856 (/.f64 1 (pow.f64 x 2)))))
(/.f64 116 x)
(-.f64 (*.f64 116 (/.f64 1 x)) (*.f64 1856 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 29696 (/.f64 1 (pow.f64 x 3))) (*.f64 116 (/.f64 1 x))) (*.f64 1856 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 29696 (/.f64 1 (pow.f64 x 3))) (*.f64 116 (/.f64 1 x))) (+.f64 (*.f64 475136 (/.f64 1 (pow.f64 x 4))) (*.f64 1856 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 x 16) 1/116))) 1)
(*.f64 (+.f64 x 16) 1/116)
(*.f64 (*.f64 (+.f64 x 16) 1/116) 1)
(*.f64 1 (*.f64 (+.f64 x 16) 1/116))
(*.f64 (sqrt.f64 (*.f64 (+.f64 x 16) 1/116)) (sqrt.f64 (*.f64 (+.f64 x 16) 1/116)))
(*.f64 (cbrt.f64 (*.f64 (+.f64 x 16) 1/116)) (cbrt.f64 (pow.f64 (/.f64 116 (+.f64 x 16)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 116 (+.f64 x 16)) -2)) (cbrt.f64 (*.f64 (+.f64 x 16) 1/116)))
(*.f64 1/116 (+.f64 x 16))
(*.f64 1/116 (pow.f64 (/.f64 1 (+.f64 x 16)) -1))
(*.f64 -1/116 (+.f64 (neg.f64 x) -16))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 116 (+.f64 x 16))) -1) (pow.f64 (sqrt.f64 (/.f64 116 (+.f64 x 16))) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 116 (+.f64 x 16))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 116 (+.f64 x 16))) -1))
(/.f64 (+.f64 x 16) 116)
(/.f64 -1 (neg.f64 (/.f64 116 (+.f64 x 16))))
(/.f64 1 (/.f64 116 (+.f64 x 16)))
(/.f64 1 (/.f64 (/.f64 116 (+.f64 x 16)) 1))
(/.f64 (sqrt.f64 (*.f64 (+.f64 x 16) 1/116)) (sqrt.f64 (/.f64 116 (+.f64 x 16))))
(/.f64 (sqrt.f64 (+.f64 x 16)) (/.f64 116 (sqrt.f64 (+.f64 x 16))))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 x 16)) 2) (/.f64 116 (cbrt.f64 (+.f64 x 16))))
(/.f64 (fma.f64 x x -256) (*.f64 116 (+.f64 x -16)))
(/.f64 (+.f64 4096 (pow.f64 x 3)) (*.f64 116 (fma.f64 x x (-.f64 256 (*.f64 x 16)))))
(/.f64 (+.f64 (neg.f64 x) -16) -116)
(/.f64 1/116 (/.f64 1 (+.f64 x 16)))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 116 (+.f64 x 16))) 2)) (cbrt.f64 (/.f64 116 (+.f64 x 16))))
(sqrt.f64 (pow.f64 (/.f64 116 (+.f64 x 16)) -2))
(log.f64 (exp.f64 (*.f64 (+.f64 x 16) 1/116)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 x 16) 1/116))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 x 16) 1/116) 3))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 x 16) 1/116)))
(exp.f64 (log.f64 (*.f64 (+.f64 x 16) 1/116)))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 x 16) 1/116)) 1))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 x 16) 1/116)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 116 (+.f64 x 16)))) 1)
(*.f64 116 (/.f64 1 (+.f64 x 16)))
(*.f64 (/.f64 116 (+.f64 x 16)) 1)
(*.f64 1 (/.f64 116 (+.f64 x 16)))
(*.f64 (sqrt.f64 (/.f64 116 (+.f64 x 16))) (sqrt.f64 (/.f64 116 (+.f64 x 16))))
(*.f64 (cbrt.f64 (/.f64 116 (+.f64 x 16))) (pow.f64 (cbrt.f64 (/.f64 116 (+.f64 x 16))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 116 (+.f64 x 16))) 2) (cbrt.f64 (/.f64 116 (+.f64 x 16))))
(*.f64 (/.f64 1 (+.f64 x 16)) 116)
(*.f64 -116 (/.f64 1 (+.f64 (neg.f64 x) -16)))
(*.f64 (/.f64 116 (fma.f64 x x -256)) (+.f64 x -16))
(*.f64 (/.f64 116 (+.f64 4096 (pow.f64 x 3))) (fma.f64 x x (-.f64 256 (*.f64 x 16))))
(pow.f64 (/.f64 116 (+.f64 x 16)) 1)
(pow.f64 (*.f64 (+.f64 x 16) 1/116) -1)
(pow.f64 (sqrt.f64 (/.f64 116 (+.f64 x 16))) 2)
(pow.f64 (cbrt.f64 (/.f64 116 (+.f64 x 16))) 3)
(pow.f64 (pow.f64 (/.f64 116 (+.f64 x 16)) 3) 1/3)
(sqrt.f64 (pow.f64 (/.f64 116 (+.f64 x 16)) 2))
(log.f64 (exp.f64 (/.f64 116 (+.f64 x 16))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 116 (+.f64 x 16)))))
(cbrt.f64 (pow.f64 (/.f64 116 (+.f64 x 16)) 3))
(expm1.f64 (log1p.f64 (/.f64 116 (+.f64 x 16))))
(exp.f64 (log.f64 (/.f64 116 (+.f64 x 16))))
(exp.f64 (*.f64 (log.f64 (/.f64 116 (+.f64 x 16))) 1))
(log1p.f64 (expm1.f64 (/.f64 116 (+.f64 x 16))))
Outputs
4/29
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(*.f64 1/116 x)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(*.f64 1/116 x)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
29/4
(+.f64 (*.f64 -29/64 x) 29/4)
(fma.f64 -29/64 x 29/4)
(fma.f64 x -29/64 29/4)
(+.f64 (*.f64 -29/64 x) (+.f64 29/4 (*.f64 29/1024 (pow.f64 x 2))))
(+.f64 (fma.f64 -29/64 x 29/4) (*.f64 29/1024 (*.f64 x x)))
(fma.f64 x -29/64 (fma.f64 29/1024 (*.f64 x x) 29/4))
(fma.f64 x -29/64 (fma.f64 x (*.f64 x 29/1024) 29/4))
(+.f64 (*.f64 -29/64 x) (+.f64 29/4 (+.f64 (*.f64 29/1024 (pow.f64 x 2)) (*.f64 -29/16384 (pow.f64 x 3)))))
(+.f64 (fma.f64 -29/64 x 29/4) (fma.f64 29/1024 (*.f64 x x) (*.f64 -29/16384 (pow.f64 x 3))))
(+.f64 (fma.f64 x -29/64 29/4) (fma.f64 -29/16384 (pow.f64 x 3) (*.f64 x (*.f64 x 29/1024))))
(fma.f64 x -29/64 (fma.f64 x (*.f64 x 29/1024) (fma.f64 -29/16384 (pow.f64 x 3) 29/4)))
(/.f64 116 x)
(-.f64 (*.f64 116 (/.f64 1 x)) (*.f64 1856 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 116 x) (/.f64 1856 (*.f64 x x)))
(+.f64 (/.f64 116 x) (/.f64 -1856 (*.f64 x x)))
(-.f64 (+.f64 (*.f64 29696 (/.f64 1 (pow.f64 x 3))) (*.f64 116 (/.f64 1 x))) (*.f64 1856 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 29696 (pow.f64 x 3)) (-.f64 (/.f64 116 x) (/.f64 1856 (*.f64 x x))))
(+.f64 (+.f64 (/.f64 116 x) (/.f64 -1856 (*.f64 x x))) (/.f64 29696 (pow.f64 x 3)))
(+.f64 (/.f64 116 x) (+.f64 (/.f64 29696 (pow.f64 x 3)) (/.f64 -1856 (*.f64 x x))))
(-.f64 (+.f64 (*.f64 29696 (/.f64 1 (pow.f64 x 3))) (*.f64 116 (/.f64 1 x))) (+.f64 (*.f64 475136 (/.f64 1 (pow.f64 x 4))) (*.f64 1856 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (/.f64 29696 (pow.f64 x 3)) (-.f64 (/.f64 116 x) (+.f64 (/.f64 1856 (*.f64 x x)) (/.f64 475136 (pow.f64 x 4)))))
(+.f64 (/.f64 116 x) (-.f64 (/.f64 29696 (pow.f64 x 3)) (+.f64 (/.f64 1856 (*.f64 x x)) (/.f64 475136 (pow.f64 x 4)))))
(+.f64 (/.f64 116 x) (+.f64 (/.f64 29696 (pow.f64 x 3)) (+.f64 (/.f64 -1856 (*.f64 x x)) (/.f64 -475136 (pow.f64 x 4)))))
(/.f64 116 x)
(-.f64 (*.f64 116 (/.f64 1 x)) (*.f64 1856 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 116 x) (/.f64 1856 (*.f64 x x)))
(+.f64 (/.f64 116 x) (/.f64 -1856 (*.f64 x x)))
(-.f64 (+.f64 (*.f64 29696 (/.f64 1 (pow.f64 x 3))) (*.f64 116 (/.f64 1 x))) (*.f64 1856 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 29696 (pow.f64 x 3)) (-.f64 (/.f64 116 x) (/.f64 1856 (*.f64 x x))))
(+.f64 (+.f64 (/.f64 116 x) (/.f64 -1856 (*.f64 x x))) (/.f64 29696 (pow.f64 x 3)))
(+.f64 (/.f64 116 x) (+.f64 (/.f64 29696 (pow.f64 x 3)) (/.f64 -1856 (*.f64 x x))))
(-.f64 (+.f64 (*.f64 29696 (/.f64 1 (pow.f64 x 3))) (*.f64 116 (/.f64 1 x))) (+.f64 (*.f64 475136 (/.f64 1 (pow.f64 x 4))) (*.f64 1856 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (/.f64 29696 (pow.f64 x 3)) (-.f64 (/.f64 116 x) (+.f64 (/.f64 1856 (*.f64 x x)) (/.f64 475136 (pow.f64 x 4)))))
(+.f64 (/.f64 116 x) (-.f64 (/.f64 29696 (pow.f64 x 3)) (+.f64 (/.f64 1856 (*.f64 x x)) (/.f64 475136 (pow.f64 x 4)))))
(+.f64 (/.f64 116 x) (+.f64 (/.f64 29696 (pow.f64 x 3)) (+.f64 (/.f64 -1856 (*.f64 x x)) (/.f64 -475136 (pow.f64 x 4)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 x 16) 1/116))) 1)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(*.f64 (+.f64 x 16) 1/116)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(*.f64 (*.f64 (+.f64 x 16) 1/116) 1)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(*.f64 1 (*.f64 (+.f64 x 16) 1/116))
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(*.f64 (sqrt.f64 (*.f64 (+.f64 x 16) 1/116)) (sqrt.f64 (*.f64 (+.f64 x 16) 1/116)))
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(*.f64 (cbrt.f64 (*.f64 (+.f64 x 16) 1/116)) (cbrt.f64 (pow.f64 (/.f64 116 (+.f64 x 16)) -2)))
(*.f64 (cbrt.f64 (+.f64 4/29 (*.f64 1/116 x))) (cbrt.f64 (pow.f64 (/.f64 116 (+.f64 x 16)) -2)))
(*.f64 (cbrt.f64 (fma.f64 1/116 x 4/29)) (cbrt.f64 (pow.f64 (fma.f64 1/116 x 4/29) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 116 (+.f64 x 16)) -2)) (cbrt.f64 (*.f64 (+.f64 x 16) 1/116)))
(*.f64 (cbrt.f64 (+.f64 4/29 (*.f64 1/116 x))) (cbrt.f64 (pow.f64 (/.f64 116 (+.f64 x 16)) -2)))
(*.f64 (cbrt.f64 (fma.f64 1/116 x 4/29)) (cbrt.f64 (pow.f64 (fma.f64 1/116 x 4/29) 2)))
(*.f64 1/116 (+.f64 x 16))
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(*.f64 1/116 (pow.f64 (/.f64 1 (+.f64 x 16)) -1))
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(*.f64 -1/116 (+.f64 (neg.f64 x) -16))
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(*.f64 (pow.f64 (sqrt.f64 (/.f64 116 (+.f64 x 16))) -1) (pow.f64 (sqrt.f64 (/.f64 116 (+.f64 x 16))) -1))
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 116 (+.f64 x 16))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 116 (+.f64 x 16))) -1))
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(/.f64 (+.f64 x 16) 116)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(/.f64 -1 (neg.f64 (/.f64 116 (+.f64 x 16))))
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(/.f64 1 (/.f64 116 (+.f64 x 16)))
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(/.f64 1 (/.f64 (/.f64 116 (+.f64 x 16)) 1))
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(/.f64 (sqrt.f64 (*.f64 (+.f64 x 16) 1/116)) (sqrt.f64 (/.f64 116 (+.f64 x 16))))
(/.f64 (sqrt.f64 (+.f64 4/29 (*.f64 1/116 x))) (sqrt.f64 (/.f64 116 (+.f64 x 16))))
(/.f64 (sqrt.f64 (fma.f64 1/116 x 4/29)) (sqrt.f64 (/.f64 116 (+.f64 x 16))))
(/.f64 (sqrt.f64 (+.f64 x 16)) (/.f64 116 (sqrt.f64 (+.f64 x 16))))
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(/.f64 (pow.f64 (cbrt.f64 (+.f64 x 16)) 2) (/.f64 116 (cbrt.f64 (+.f64 x 16))))
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(/.f64 (fma.f64 x x -256) (*.f64 116 (+.f64 x -16)))
(/.f64 (/.f64 (fma.f64 x x -256) 116) (+.f64 x -16))
(/.f64 (fma.f64 x x -256) (fma.f64 x 116 -1856))
(/.f64 (+.f64 4096 (pow.f64 x 3)) (*.f64 116 (fma.f64 x x (-.f64 256 (*.f64 x 16)))))
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) 4096) 116) (fma.f64 x x (-.f64 256 (*.f64 x 16))))
(/.f64 (+.f64 (pow.f64 x 3) 4096) (*.f64 116 (fma.f64 x x (+.f64 256 (*.f64 x -16)))))
(/.f64 (+.f64 (pow.f64 x 3) 4096) (*.f64 116 (fma.f64 x x (fma.f64 x -16 256))))
(/.f64 (+.f64 (neg.f64 x) -16) -116)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(/.f64 1/116 (/.f64 1 (+.f64 x 16)))
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 116 (+.f64 x 16))) 2)) (cbrt.f64 (/.f64 116 (+.f64 x 16))))
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(sqrt.f64 (pow.f64 (/.f64 116 (+.f64 x 16)) -2))
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(log.f64 (exp.f64 (*.f64 (+.f64 x 16) 1/116)))
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 x 16) 1/116))))
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(cbrt.f64 (pow.f64 (*.f64 (+.f64 x 16) 1/116) 3))
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(expm1.f64 (log1p.f64 (*.f64 (+.f64 x 16) 1/116)))
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(exp.f64 (log.f64 (*.f64 (+.f64 x 16) 1/116)))
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 x 16) 1/116)) 1))
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(log1p.f64 (expm1.f64 (*.f64 (+.f64 x 16) 1/116)))
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(-.f64 (exp.f64 (log1p.f64 (/.f64 116 (+.f64 x 16)))) 1)
(/.f64 116 (+.f64 x 16))
(*.f64 116 (/.f64 1 (+.f64 x 16)))
(/.f64 116 (+.f64 x 16))
(*.f64 (/.f64 116 (+.f64 x 16)) 1)
(/.f64 116 (+.f64 x 16))
(*.f64 1 (/.f64 116 (+.f64 x 16)))
(/.f64 116 (+.f64 x 16))
(*.f64 (sqrt.f64 (/.f64 116 (+.f64 x 16))) (sqrt.f64 (/.f64 116 (+.f64 x 16))))
(/.f64 116 (+.f64 x 16))
(*.f64 (cbrt.f64 (/.f64 116 (+.f64 x 16))) (pow.f64 (cbrt.f64 (/.f64 116 (+.f64 x 16))) 2))
(/.f64 116 (+.f64 x 16))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 116 (+.f64 x 16))) 2) (cbrt.f64 (/.f64 116 (+.f64 x 16))))
(/.f64 116 (+.f64 x 16))
(*.f64 (/.f64 1 (+.f64 x 16)) 116)
(/.f64 116 (+.f64 x 16))
(*.f64 -116 (/.f64 1 (+.f64 (neg.f64 x) -16)))
(/.f64 116 (+.f64 x 16))
(*.f64 (/.f64 116 (fma.f64 x x -256)) (+.f64 x -16))
(*.f64 (+.f64 x -16) (/.f64 116 (fma.f64 x x -256)))
(/.f64 (fma.f64 x 116 -1856) (fma.f64 x x -256))
(*.f64 (/.f64 116 (+.f64 4096 (pow.f64 x 3))) (fma.f64 x x (-.f64 256 (*.f64 x 16))))
(*.f64 (fma.f64 x x (-.f64 256 (*.f64 x 16))) (/.f64 116 (+.f64 (pow.f64 x 3) 4096)))
(/.f64 116 (/.f64 (+.f64 (pow.f64 x 3) 4096) (fma.f64 x x (+.f64 256 (*.f64 x -16)))))
(/.f64 116 (/.f64 (+.f64 (pow.f64 x 3) 4096) (fma.f64 x x (fma.f64 x -16 256))))
(pow.f64 (/.f64 116 (+.f64 x 16)) 1)
(/.f64 116 (+.f64 x 16))
(pow.f64 (*.f64 (+.f64 x 16) 1/116) -1)
(/.f64 116 (+.f64 x 16))
(pow.f64 (sqrt.f64 (/.f64 116 (+.f64 x 16))) 2)
(/.f64 116 (+.f64 x 16))
(pow.f64 (cbrt.f64 (/.f64 116 (+.f64 x 16))) 3)
(/.f64 116 (+.f64 x 16))
(pow.f64 (pow.f64 (/.f64 116 (+.f64 x 16)) 3) 1/3)
(/.f64 116 (+.f64 x 16))
(sqrt.f64 (pow.f64 (/.f64 116 (+.f64 x 16)) 2))
(/.f64 116 (+.f64 x 16))
(log.f64 (exp.f64 (/.f64 116 (+.f64 x 16))))
(/.f64 116 (+.f64 x 16))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 116 (+.f64 x 16)))))
(/.f64 116 (+.f64 x 16))
(cbrt.f64 (pow.f64 (/.f64 116 (+.f64 x 16)) 3))
(/.f64 116 (+.f64 x 16))
(expm1.f64 (log1p.f64 (/.f64 116 (+.f64 x 16))))
(/.f64 116 (+.f64 x 16))
(exp.f64 (log.f64 (/.f64 116 (+.f64 x 16))))
(/.f64 116 (+.f64 x 16))
(exp.f64 (*.f64 (log.f64 (/.f64 116 (+.f64 x 16))) 1))
(/.f64 116 (+.f64 x 16))
(log1p.f64 (expm1.f64 (/.f64 116 (+.f64 x 16))))
(/.f64 116 (+.f64 x 16))

eval42.0ms (2.4%)

Compiler

Compiled 1798 to 1451 computations (19.3% saved)

prune21.0ms (1.2%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1691170
Fresh011
Picked101
Done033
Total1705175
Error
0b
Counts
175 → 5
Alt Table
Click to see full alt table
StatusErrorProgram
✓0.0b
(/.f64 (+.f64 x 16) 116)
▶0.1b
(/.f64 1 (/.f64 116 (+.f64 x 16)))
✓0.1b
(+.f64 4/29 (*.f64 1/116 x))
✓34.2b
(*.f64 1/116 x)
29.1b
4/29
Compiler

Compiled 26 to 22 computations (15.4% saved)

localize7.0ms (0.4%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(/.f64 116 (+.f64 x 16))
✓0.1b
(/.f64 1 (/.f64 116 (+.f64 x 16)))
Compiler

Compiled 20 to 16 computations (20% saved)

series0.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@0
(/.f64 1 (/.f64 116 (+.f64 x 16)))
0.0ms
x
@inf
(/.f64 1 (/.f64 116 (+.f64 x 16)))
0.0ms
x
@-inf
(/.f64 1 (/.f64 116 (+.f64 x 16)))

rewrite57.0ms (3.2%)

Algorithm
1×batch-egg-rewrite
Rules
1954×add-sqr-sqrt
1906×*-un-lft-identity
1820×add-cube-cbrt
1808×add-cbrt-cube
186×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0913
120213
2246013
Stop Event
1×node limit
Counts
1 → 33
Calls
Call 1
Inputs
(/.f64 1 (/.f64 116 (+.f64 x 16)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/116 x) 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 4/29 (*.f64 1/116 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 4/29 (*.f64 x 1/116))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 1/116) 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (*.f64 1/116 x) 4/29))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (*.f64 1/116 x) 4/29))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x 16) 1/116)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 1/116 x) 4/29) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (*.f64 1/116 x) 4/29)) (sqrt.f64 (+.f64 (*.f64 1/116 x) 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (*.f64 1/116 x) 4/29)) (pow.f64 (cbrt.f64 (+.f64 (*.f64 1/116 x) 4/29)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 1/116 x) 4/29)) 2) (cbrt.f64 (+.f64 (*.f64 1/116 x) 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/116 (+.f64 x 16))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/116 (pow.f64 (/.f64 1 (+.f64 x 16)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (/.f64 -116 (+.f64 x 16))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/116 (sqrt.f64 (+.f64 x 16))) (sqrt.f64 (+.f64 x 16)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/116 (pow.f64 (cbrt.f64 (+.f64 x 16)) 2)) (cbrt.f64 (+.f64 x 16)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/116 (neg.f64 (+.f64 x 16)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 116 (+.f64 x 16))) -1) (pow.f64 (sqrt.f64 (/.f64 116 (+.f64 x 16))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 116 (+.f64 x 16))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 116 (+.f64 x 16))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 116 (+.f64 x 16)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (*.f64 1/116 x) 4/29) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (*.f64 1/116 x) 4/29)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (*.f64 1/116 x) 4/29)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (*.f64 1/116 x) 4/29) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/13456 (pow.f64 (+.f64 x 16) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/116) (+.f64 x 16)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (*.f64 1/116 x) 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (*.f64 1/116 x) 4/29) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (*.f64 1/116 x) 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (*.f64 1/116 x) 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 116 (+.f64 x 16))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 1/116 x) 4/29)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (*.f64 1/116 x) 4/29)))))))

simplify43.0ms (2.4%)

Algorithm
1×egg-herbie
Rules
1060×associate-+r+
920×associate-+l+
726×associate-*r/
622×*-commutative
558×associate-/l*
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
085469
1193465
2651453
32603447
Stop Event
1×node limit
Counts
45 → 42
Calls
Call 1
Inputs
4/29
(+.f64 4/29 (*.f64 1/116 x))
(+.f64 4/29 (*.f64 1/116 x))
(+.f64 4/29 (*.f64 1/116 x))
(*.f64 1/116 x)
(+.f64 4/29 (*.f64 1/116 x))
(+.f64 4/29 (*.f64 1/116 x))
(+.f64 4/29 (*.f64 1/116 x))
(*.f64 1/116 x)
(+.f64 4/29 (*.f64 1/116 x))
(+.f64 4/29 (*.f64 1/116 x))
(+.f64 4/29 (*.f64 1/116 x))
(+.f64 (*.f64 1/116 x) 4/29)
(+.f64 4/29 (*.f64 1/116 x))
(+.f64 4/29 (*.f64 x 1/116))
(+.f64 (*.f64 x 1/116) 4/29)
(-.f64 (exp.f64 (log1p.f64 (+.f64 (*.f64 1/116 x) 4/29))) 1)
(*.f64 1 (+.f64 (*.f64 1/116 x) 4/29))
(*.f64 (+.f64 x 16) 1/116)
(*.f64 (+.f64 (*.f64 1/116 x) 4/29) 1)
(*.f64 (sqrt.f64 (+.f64 (*.f64 1/116 x) 4/29)) (sqrt.f64 (+.f64 (*.f64 1/116 x) 4/29)))
(*.f64 (cbrt.f64 (+.f64 (*.f64 1/116 x) 4/29)) (pow.f64 (cbrt.f64 (+.f64 (*.f64 1/116 x) 4/29)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 1/116 x) 4/29)) 2) (cbrt.f64 (+.f64 (*.f64 1/116 x) 4/29)))
(*.f64 1/116 (+.f64 x 16))
(*.f64 1/116 (pow.f64 (/.f64 1 (+.f64 x 16)) -1))
(*.f64 -1 (/.f64 1 (/.f64 -116 (+.f64 x 16))))
(*.f64 (*.f64 1/116 (sqrt.f64 (+.f64 x 16))) (sqrt.f64 (+.f64 x 16)))
(*.f64 (*.f64 1/116 (pow.f64 (cbrt.f64 (+.f64 x 16)) 2)) (cbrt.f64 (+.f64 x 16)))
(*.f64 -1/116 (neg.f64 (+.f64 x 16)))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 116 (+.f64 x 16))) -1) (pow.f64 (sqrt.f64 (/.f64 116 (+.f64 x 16))) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 116 (+.f64 x 16))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 116 (+.f64 x 16))) -1))
(pow.f64 (/.f64 116 (+.f64 x 16)) -1)
(pow.f64 (+.f64 (*.f64 1/116 x) 4/29) 1)
(pow.f64 (sqrt.f64 (+.f64 (*.f64 1/116 x) 4/29)) 2)
(pow.f64 (cbrt.f64 (+.f64 (*.f64 1/116 x) 4/29)) 3)
(pow.f64 (pow.f64 (+.f64 (*.f64 1/116 x) 4/29) 3) 1/3)
(sqrt.f64 (*.f64 1/13456 (pow.f64 (+.f64 x 16) 2)))
(log.f64 (pow.f64 (exp.f64 1/116) (+.f64 x 16)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (*.f64 1/116 x) 4/29))))
(cbrt.f64 (pow.f64 (+.f64 (*.f64 1/116 x) 4/29) 3))
(expm1.f64 (log1p.f64 (+.f64 (*.f64 1/116 x) 4/29)))
(exp.f64 (log.f64 (+.f64 (*.f64 1/116 x) 4/29)))
(exp.f64 (*.f64 (log.f64 (/.f64 116 (+.f64 x 16))) -1))
(exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 1/116 x) 4/29)) 1))
(log1p.f64 (expm1.f64 (+.f64 (*.f64 1/116 x) 4/29)))
Outputs
4/29
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(*.f64 1/116 x)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(*.f64 1/116 x)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(+.f64 (*.f64 1/116 x) 4/29)
(fma.f64 1/116 x 4/29)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(+.f64 4/29 (*.f64 x 1/116))
(fma.f64 1/116 x 4/29)
(+.f64 (*.f64 x 1/116) 4/29)
(fma.f64 1/116 x 4/29)
(-.f64 (exp.f64 (log1p.f64 (+.f64 (*.f64 1/116 x) 4/29))) 1)
(fma.f64 1/116 x 4/29)
(*.f64 1 (+.f64 (*.f64 1/116 x) 4/29))
(fma.f64 1/116 x 4/29)
(*.f64 (+.f64 x 16) 1/116)
(fma.f64 1/116 x 4/29)
(*.f64 (+.f64 (*.f64 1/116 x) 4/29) 1)
(fma.f64 1/116 x 4/29)
(*.f64 (sqrt.f64 (+.f64 (*.f64 1/116 x) 4/29)) (sqrt.f64 (+.f64 (*.f64 1/116 x) 4/29)))
(fma.f64 1/116 x 4/29)
(*.f64 (cbrt.f64 (+.f64 (*.f64 1/116 x) 4/29)) (pow.f64 (cbrt.f64 (+.f64 (*.f64 1/116 x) 4/29)) 2))
(fma.f64 1/116 x 4/29)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 1/116 x) 4/29)) 2) (cbrt.f64 (+.f64 (*.f64 1/116 x) 4/29)))
(fma.f64 1/116 x 4/29)
(*.f64 1/116 (+.f64 x 16))
(fma.f64 1/116 x 4/29)
(*.f64 1/116 (pow.f64 (/.f64 1 (+.f64 x 16)) -1))
(fma.f64 1/116 x 4/29)
(*.f64 -1 (/.f64 1 (/.f64 -116 (+.f64 x 16))))
(fma.f64 1/116 x 4/29)
(*.f64 (*.f64 1/116 (sqrt.f64 (+.f64 x 16))) (sqrt.f64 (+.f64 x 16)))
(fma.f64 1/116 x 4/29)
(*.f64 (*.f64 1/116 (pow.f64 (cbrt.f64 (+.f64 x 16)) 2)) (cbrt.f64 (+.f64 x 16)))
(fma.f64 1/116 x 4/29)
(*.f64 -1/116 (neg.f64 (+.f64 x 16)))
(fma.f64 1/116 x 4/29)
(*.f64 (pow.f64 (sqrt.f64 (/.f64 116 (+.f64 x 16))) -1) (pow.f64 (sqrt.f64 (/.f64 116 (+.f64 x 16))) -1))
(pow.f64 (sqrt.f64 (/.f64 116 (+.f64 x 16))) -2)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 116 (+.f64 x 16))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 116 (+.f64 x 16))) -1))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 116 (+.f64 x 16))) 2)) (/.f64 1 (cbrt.f64 (/.f64 116 (+.f64 x 16)))))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 116 (+.f64 x 16))) 2)) (cbrt.f64 (/.f64 116 (+.f64 x 16))))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 116 (+.f64 x 16))) -2) (cbrt.f64 (/.f64 116 (+.f64 x 16))))
(pow.f64 (/.f64 116 (+.f64 x 16)) -1)
(fma.f64 1/116 x 4/29)
(pow.f64 (+.f64 (*.f64 1/116 x) 4/29) 1)
(fma.f64 1/116 x 4/29)
(pow.f64 (sqrt.f64 (+.f64 (*.f64 1/116 x) 4/29)) 2)
(fma.f64 1/116 x 4/29)
(pow.f64 (cbrt.f64 (+.f64 (*.f64 1/116 x) 4/29)) 3)
(fma.f64 1/116 x 4/29)
(pow.f64 (pow.f64 (+.f64 (*.f64 1/116 x) 4/29) 3) 1/3)
(fma.f64 1/116 x 4/29)
(sqrt.f64 (*.f64 1/13456 (pow.f64 (+.f64 x 16) 2)))
(sqrt.f64 (pow.f64 (fma.f64 1/116 x 4/29) 2))
(fabs.f64 (fma.f64 1/116 x 4/29))
(log.f64 (pow.f64 (exp.f64 1/116) (+.f64 x 16)))
(fma.f64 1/116 x 4/29)
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (*.f64 1/116 x) 4/29))))
(fma.f64 1/116 x 4/29)
(cbrt.f64 (pow.f64 (+.f64 (*.f64 1/116 x) 4/29) 3))
(fma.f64 1/116 x 4/29)
(expm1.f64 (log1p.f64 (+.f64 (*.f64 1/116 x) 4/29)))
(fma.f64 1/116 x 4/29)
(exp.f64 (log.f64 (+.f64 (*.f64 1/116 x) 4/29)))
(fma.f64 1/116 x 4/29)
(exp.f64 (*.f64 (log.f64 (/.f64 116 (+.f64 x 16))) -1))
(fma.f64 1/116 x 4/29)
(exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 1/116 x) 4/29)) 1))
(fma.f64 1/116 x 4/29)
(log1p.f64 (expm1.f64 (+.f64 (*.f64 1/116 x) 4/29)))
(fma.f64 1/116 x 4/29)

eval25.0ms (1.4%)

Compiler

Compiled 1070 to 886 computations (17.2% saved)

prune38.0ms (2.1%)

Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New96096
Fresh011
Picked011
Done033
Total965101
Error
0b
Counts
101 → 5
Alt Table
Click to see full alt table
StatusErrorProgram
✓0.0b
(/.f64 (+.f64 x 16) 116)
✓0.1b
(/.f64 1 (/.f64 116 (+.f64 x 16)))
✓0.1b
(+.f64 4/29 (*.f64 1/116 x))
✓34.2b
(*.f64 1/116 x)
29.1b
4/29
Compiler

Compiled 26 to 22 computations (15.4% saved)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune2.0ms (0.1%)

Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done044
Total055
Error
0b
Counts
5 → 5
Alt Table
Click to see full alt table
StatusErrorProgram
✓0.0b
(/.f64 (+.f64 x 16) 116)
✓0.1b
(/.f64 1 (/.f64 116 (+.f64 x 16)))
✓0.1b
(+.f64 4/29 (*.f64 1/116 x))
✓34.2b
(*.f64 1/116 x)
29.1b
4/29
Compiler

Compiled 26 to 22 computations (15.4% saved)

regimes13.0ms (0.7%)

Counts
6 → 1
Calls
Call 1
Inputs
4/29
(*.f64 1/116 x)
(+.f64 4/29 (*.f64 1/116 x))
(/.f64 (+.f64 x 16) 116)
(/.f64 1 (/.f64 116 (+.f64 x 16)))
(pow.f64 (/.f64 116 (+.f64 x 16)) -1)
Outputs
(/.f64 (+.f64 x 16) 116)
Calls

3 calls:

4.0ms
x
4.0ms
(/.f64 (+.f64 x 16) 116)
3.0ms
(+.f64 x 16)
Results
ErrorSegmentsBranch
0.0b1x
0.0b1(/.f64 (+.f64 x 16) 116)
0.0b1(+.f64 x 16)
Compiler

Compiled 41 to 33 computations (19.5% saved)

regimes4.0ms (0.2%)

Counts
3 → 1
Calls
Call 1
Inputs
4/29
(*.f64 1/116 x)
(+.f64 4/29 (*.f64 1/116 x))
Outputs
(+.f64 4/29 (*.f64 1/116 x))
Calls

1 calls:

3.0ms
x
Results
ErrorSegmentsBranch
0.1b1x
Compiler

Compiled 12 to 9 computations (25% saved)

regimes10.0ms (0.6%)

Accuracy

Total -60.1b remaining (-3756.5%)

Threshold costs -60.1b (-3756.5%)

Counts
2 → 3
Calls
Call 1
Inputs
4/29
(*.f64 1/116 x)
Outputs
(*.f64 1/116 x)
4/29
(*.f64 1/116 x)
Calls

1 calls:

10.0ms
x
Results
ErrorSegmentsBranch
1.6b3x
Compiler

Compiled 7 to 5 computations (28.6% saved)

bsearch27.0ms (1.5%)

Algorithm
2×binary-search
Steps
TimeLeftRight
11.0ms
0.001912968541525617
28.95225927743639
16.0ms
-27100692.12593363
-7.37317128684307e-5
Results
24.0ms288×body256valid
Compiler

Compiled 154 to 134 computations (13% saved)

simplify5.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
4×+-commutative
2×if-if-or-not
2×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01960
12760
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(/.f64 (+.f64 x 16) 116)
(+.f64 4/29 (*.f64 1/116 x))
(if (<=.f64 x -16) (*.f64 1/116 x) (if (<=.f64 x 16) 4/29 (*.f64 1/116 x)))
4/29
Outputs
(/.f64 (+.f64 x 16) 116)
(+.f64 4/29 (*.f64 1/116 x))
(+.f64 4/29 (*.f64 x 1/116))
(if (<=.f64 x -16) (*.f64 1/116 x) (if (<=.f64 x 16) 4/29 (*.f64 1/116 x)))
(if (<=.f64 x -16) (*.f64 x 1/116) (if (<=.f64 x 16) 4/29 (*.f64 x 1/116)))
4/29
Compiler

Compiled 30 to 24 computations (20% saved)

soundness0.0ms (0%)

end35.0ms (2%)

Compiler

Compiled 27 to 21 computations (22.2% saved)

Profiling

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