Details

Time bar (total: 1.8s)

analyze3.0ms (0.1%)

Algorithm
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)

sample781.0ms (43.3%)

Results
771.0ms8256×body256valid
Bogosity

preprocess15.0ms (0.8%)

Algorithm
egg-herbie
Rules
+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0713
1813
011
Stop Event
saturated
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)

simplify11.0ms (0.6%)

Algorithm
egg-herbie
Rules
+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0713
1813
Stop Event
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)

rewrite80.0ms (4.4%)

Algorithm
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
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)))))))

simplify54.0ms (3%)

Algorithm
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
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)

prune9.0ms (0.5%)

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
(fma.f64 1/116 x 4/29)
0.0b
(/.f64 (+.f64 x 16) 116)
0.1b
(+.f64 4/29 (*.f64 1/116 x))
33.0b
(*.f64 1/116 x)
30.4b
4/29
Compiler

Compiled 23 to 19 computations (17.4% saved)

localize3.0ms (0.1%)

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)

rewrite73.0ms (4%)

Algorithm
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
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)))))))

simplify66.0ms (3.7%)

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

rewrite55.0ms (3%)

Algorithm
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
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)))))

simplify53.0ms (2.9%)

Algorithm
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
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)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.1b
(fma.f64 1/116 x 4/29)
Compiler

Compiled 8 to 6 computations (25% saved)

series0.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite59.0ms (3.3%)

Algorithm
batch-egg-rewrite
Rules
1108×add-sqr-sqrt
1082×*-un-lft-identity
1038×pow1
1018×add-cube-cbrt
1010×add-cbrt-cube
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
069
11239
213289
Stop Event
node limit
Counts
1 → 21
Calls
Call 1
Inputs
(fma.f64 1/116 x 4/29)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 4/29 (*.f64 1/116 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/116 x) 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 1/116 x) 1) 4/29)))) (#(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 (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 (*.f64 (*.f64 1/116 x) (*.f64 1/116 x)) 16/841) (-.f64 (*.f64 1/116 x) 4/29))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 1/116 x) 3) 64/24389) (+.f64 (*.f64 (*.f64 1/116 x) (*.f64 1/116 x)) (-.f64 16/841 (*.f64 (*.f64 1/116 x) 4/29))))))) (#(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 log1p.f64 (expm1.f64 (fma.f64 1/116 x 4/29)))))))

simplify58.0ms (3.2%)

Algorithm
egg-herbie
Rules
1098×distribute-lft-in
1042×distribute-rgt-in
902×associate-*r*
884×fma-def
776×associate-/l*
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
055361
1136343
2597341
32639339
47205339
Stop Event
node limit
Counts
33 → 31
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 4/29 (*.f64 1/116 x))
(+.f64 (*.f64 1/116 x) 4/29)
(+.f64 (*.f64 (*.f64 1/116 x) 1) 4/29)
(-.f64 (+.f64 1 (fma.f64 1/116 x 4/29)) 1)
(*.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 (*.f64 (*.f64 1/116 x) (*.f64 1/116 x)) 16/841) (-.f64 (*.f64 1/116 x) 4/29))
(/.f64 (+.f64 (pow.f64 (*.f64 1/116 x) 3) 64/24389) (+.f64 (*.f64 (*.f64 1/116 x) (*.f64 1/116 x)) (-.f64 16/841 (*.f64 (*.f64 1/116 x) 4/29))))
(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)))
(log1p.f64 (expm1.f64 (fma.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 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 (*.f64 (*.f64 1/116 x) 1) 4/29)
(fma.f64 1/116 x 4/29)
(-.f64 (+.f64 1 (fma.f64 1/116 x 4/29)) 1)
(fma.f64 1/116 x 4/29)
(*.f64 (fma.f64 1/116 x 4/29) 1)
(fma.f64 1/116 x 4/29)
(*.f64 1 (fma.f64 1/116 x 4/29))
(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)))
(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))
(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)))
(fma.f64 1/116 x 4/29)
(/.f64 (-.f64 (*.f64 (*.f64 1/116 x) (*.f64 1/116 x)) 16/841) (-.f64 (*.f64 1/116 x) 4/29))
(/.f64 (+.f64 (*.f64 1/13456 (*.f64 x x)) -16/841) (fma.f64 1/116 x -4/29))
(/.f64 (fma.f64 (*.f64 x 1/13456) x -16/841) (fma.f64 1/116 x -4/29))
(/.f64 (fma.f64 x (*.f64 x 1/13456) -16/841) (fma.f64 1/116 x -4/29))
(/.f64 (+.f64 (pow.f64 (*.f64 1/116 x) 3) 64/24389) (+.f64 (*.f64 (*.f64 1/116 x) (*.f64 1/116 x)) (-.f64 16/841 (*.f64 (*.f64 1/116 x) 4/29))))
(/.f64 (+.f64 (pow.f64 (*.f64 1/116 x) 3) 64/24389) (+.f64 (*.f64 1/13456 (*.f64 x x)) (-.f64 16/841 (*.f64 4/29 (*.f64 1/116 x)))))
(/.f64 (fma.f64 1/1560896 (pow.f64 x 3) 64/24389) (-.f64 (fma.f64 (*.f64 x 1/13456) x 16/841) (*.f64 x 1/841)))
(/.f64 (fma.f64 1/1560896 (pow.f64 x 3) 64/24389) (-.f64 16/841 (*.f64 x (-.f64 1/841 (*.f64 x 1/13456)))))
(/.f64 (fma.f64 1/1560896 (pow.f64 x 3) 64/24389) (fma.f64 1/116 (*.f64 x (fma.f64 1/116 x -4/29)) 16/841))
(pow.f64 (fma.f64 1/116 x 4/29) 1)
(fma.f64 1/116 x 4/29)
(pow.f64 (sqrt.f64 (fma.f64 1/116 x 4/29)) 2)
(fma.f64 1/116 x 4/29)
(pow.f64 (cbrt.f64 (fma.f64 1/116 x 4/29)) 3)
(fma.f64 1/116 x 4/29)
(pow.f64 (pow.f64 (fma.f64 1/116 x 4/29) 3) 1/3)
(fma.f64 1/116 x 4/29)
(sqrt.f64 (pow.f64 (fma.f64 1/116 x 4/29) 2))
(fma.f64 1/116 x 4/29)
(log.f64 (exp.f64 (fma.f64 1/116 x 4/29)))
(fma.f64 1/116 x 4/29)
(cbrt.f64 (pow.f64 (fma.f64 1/116 x 4/29) 3))
(fma.f64 1/116 x 4/29)
(expm1.f64 (log1p.f64 (fma.f64 1/116 x 4/29)))
(fma.f64 1/116 x 4/29)
(exp.f64 (log.f64 (fma.f64 1/116 x 4/29)))
(fma.f64 1/116 x 4/29)
(log1p.f64 (expm1.f64 (fma.f64 1/116 x 4/29)))
(fma.f64 1/116 x 4/29)

eval24.0ms (1.4%)

Compiler

Compiled 945 to 753 computations (20.3% saved)

prune13.0ms (0.7%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1011102
Fresh011
Picked101
Done033
Total1025107
Error
0b
Counts
107 → 5
Alt Table
Click to see full alt table
StatusErrorProgram
14.4b
(/.f64 (-.f64 (*.f64 (*.f64 x x) 1/13456) 16/841) (-.f64 (*.f64 1/116 x) 4/29))
0.0b
(/.f64 (+.f64 x 16) 116)
0.1b
(+.f64 4/29 (*.f64 1/116 x))
33.0b
(*.f64 1/116 x)
30.4b
4/29
Compiler

Compiled 32 to 26 computations (18.8% saved)

localize19.0ms (1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(-.f64 (*.f64 (*.f64 x x) 1/13456) 16/841)
0.1b
(*.f64 1/116 x)
0.3b
(*.f64 (*.f64 x x) 1/13456)
13.4b
(/.f64 (-.f64 (*.f64 (*.f64 x x) 1/13456) 16/841) (-.f64 (*.f64 1/116 x) 4/29))
Compiler

Compiled 42 to 27 computations (35.7% saved)

series2.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(/.f64 (-.f64 (*.f64 (*.f64 x x) 1/13456) 16/841) (-.f64 (*.f64 1/116 x) 4/29))
0.0ms
x
@0
(/.f64 (-.f64 (*.f64 (*.f64 x x) 1/13456) 16/841) (-.f64 (*.f64 1/116 x) 4/29))
0.0ms
x
@inf
(/.f64 (-.f64 (*.f64 (*.f64 x x) 1/13456) 16/841) (-.f64 (*.f64 1/116 x) 4/29))
0.0ms
x
@inf
(*.f64 (*.f64 x x) 1/13456)
0.0ms
x
@0
(*.f64 (*.f64 x x) 1/13456)

rewrite90.0ms (5%)

Algorithm
batch-egg-rewrite
Rules
1802×associate-/l*
1772×associate-/r*
1748×associate-*l/
292×add-sqr-sqrt
280×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01357
129837
2394537
Stop Event
node limit
Counts
3 → 125
Calls
Call 1
Inputs
(/.f64 (-.f64 (*.f64 (*.f64 x x) 1/13456) 16/841) (-.f64 (*.f64 1/116 x) 4/29))
(*.f64 (*.f64 x x) 1/13456)
(-.f64 (*.f64 (*.f64 x x) 1/13456) 16/841)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 1/116) 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 4/29 (*.f64 x 1/116))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 x (*.f64 x 1/13456)) (fma.f64 x 1/116 -4/29)) (neg.f64 (/.f64 16/841 (fma.f64 x 1/116 -4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (/.f64 16/841 (fma.f64 x 1/116 -4/29))) (/.f64 (*.f64 x (*.f64 x 1/13456)) (fma.f64 x 1/116 -4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x 1/116) -4/29)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x (*.f64 x 1/13456)) (fma.f64 x 1/116 -4/29)) (/.f64 16/841 (fma.f64 x 1/116 -4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x 1/116 4/29))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x 1/116))) 25/29)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 4/29 (exp.f64 (log1p.f64 (*.f64 x 1/116)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x (*.f64 x 1/13456) -16/841) (/.f64 1 (fma.f64 x 1/116 -4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x 1/116 4/29) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x 1/116 4/29))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x (*.f64 x 1/13456) -16/841)) (*.f64 (sqrt.f64 (fma.f64 x (*.f64 x 1/13456) -16/841)) (/.f64 1 (fma.f64 x 1/116 -4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x 1/116 4/29)) (sqrt.f64 (fma.f64 x 1/116 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 1/13456) -16/841)) 2) (*.f64 (cbrt.f64 (fma.f64 x (*.f64 x 1/13456) -16/841)) (/.f64 1 (fma.f64 x 1/116 -4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x 1/116 4/29)) (pow.f64 (cbrt.f64 (fma.f64 x 1/116 4/29)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/116 4/29)) 2) (cbrt.f64 (fma.f64 x 1/116 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x 1/116 -4/29)) (fma.f64 x (*.f64 x 1/13456) -16/841))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 16/841 (*.f64 x (*.f64 x 1/13456))) (/.f64 -1 (fma.f64 x 1/116 -4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (fma.f64 x 1/116 -4/29))) (/.f64 (fma.f64 x (*.f64 x 1/13456) -16/841) (sqrt.f64 (fma.f64 x 1/116 -4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 x 1/116 -4/29) 2))) (/.f64 (fma.f64 x (*.f64 x 1/13456) -16/841) (cbrt.f64 (fma.f64 x 1/116 -4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 x (*.f64 x 1/13456) -16/841) (fma.f64 x (*.f64 x 1/13456) -16/841)) (fma.f64 x 1/116 4/29))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 x (*.f64 x 1/13456) -16/841) (+.f64 (*.f64 1/1560896 (pow.f64 x 3)) -64/24389)) (+.f64 (fma.f64 x (*.f64 x 1/13456) 16/841) (*.f64 x 1/841)))))) 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simplify78.0ms (4.3%)

Algorithm
egg-herbie
Rules
1442×associate-/r*
1426×associate-/l/
1350×distribute-lft-in
1348×distribute-rgt-in
1144×associate-/r/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
03184743
17394159
231794159
Stop Event
node limit
Counts
161 → 204
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)
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(+.f64 4/29 (*.f64 1/116 x))
(*.f64 1/116 x)
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(*.f64 1/13456 (pow.f64 x 2))
(*.f64 1/13456 (pow.f64 x 2))
(*.f64 1/13456 (pow.f64 x 2))
(*.f64 1/13456 (pow.f64 x 2))
(*.f64 1/13456 (pow.f64 x 2))
(*.f64 1/13456 (pow.f64 x 2))
(*.f64 1/13456 (pow.f64 x 2))
(*.f64 1/13456 (pow.f64 x 2))
(*.f64 1/13456 (pow.f64 x 2))
(*.f64 1/13456 (pow.f64 x 2))
(*.f64 1/13456 (pow.f64 x 2))
(*.f64 1/13456 (pow.f64 x 2))
-16/841
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(-.f64 (*.f64 1/13456 (pow.f64 x 2)) 16/841)
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(-.f64 (*.f64 1/13456 (pow.f64 x 2)) 16/841)
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(-.f64 (*.f64 1/13456 (pow.f64 x 2)) 16/841)
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(-.f64 (*.f64 1/13456 (pow.f64 x 2)) 16/841)
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(log.f64 (exp.f64 (fma.f64 x 1/116 4/29)))
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(cbrt.f64 (pow.f64 (fma.f64 x 1/116 4/29) 3))
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(fma.f64 1 (*.f64 x 1/116) 4/29)
(fma.f64 (sqrt.f64 (*.f64 x 1/116)) (sqrt.f64 (*.f64 x 1/116)) 4/29)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/116)) 2) (cbrt.f64 (*.f64 x 1/116)) 4/29)
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x 1/13456)))) 1)
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(/.f64 (*.f64 (cbrt.f64 (+.f64 (*.f64 1/2436396322816 (pow.f64 (*.f64 x x) 3)) -4096/594823321)) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 1/13456) -16/841)) 2)) (cbrt.f64 (+.f64 (*.f64 1/181063936 (pow.f64 x 4)) (+.f64 256/707281 (*.f64 (*.f64 x x) 1/707281)))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 1/181063936 (pow.f64 x 4)) (*.f64 1/181063936 (pow.f64 x 4))) 65536/500246412961) (/.f64 1 (fma.f64 x (*.f64 x 1/13456) 16/841))) (+.f64 (*.f64 1/181063936 (pow.f64 x 4)) 256/707281))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 1/181063936 (pow.f64 x 4)) 3) 16777216/353814783205469041) (/.f64 1 (fma.f64 x (*.f64 x 1/13456) 16/841))) (+.f64 (*.f64 (*.f64 1/181063936 (pow.f64 x 4)) (*.f64 1/181063936 (pow.f64 x 4))) (+.f64 65536/500246412961 (*.f64 (*.f64 1/181063936 (pow.f64 x 4)) 256/707281))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 1/2436396322816 (pow.f64 (*.f64 x x) 3)) (*.f64 1/2436396322816 (pow.f64 (*.f64 x x) 3))) 16777216/353814783205469041) (/.f64 1 (+.f64 (*.f64 1/181063936 (pow.f64 x 4)) (+.f64 256/707281 (*.f64 (*.f64 x x) 1/707281))))) (+.f64 4096/594823321 (*.f64 1/2436396322816 (pow.f64 (*.f64 x x) 3))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 1/2436396322816 (pow.f64 (*.f64 x x) 3)) 3) 68719476736/210457284365172120330305161) (/.f64 1 (+.f64 (*.f64 1/181063936 (pow.f64 x 4)) (+.f64 256/707281 (*.f64 (*.f64 x x) 1/707281))))) (+.f64 (*.f64 (*.f64 1/2436396322816 (pow.f64 (*.f64 x x) 3)) (*.f64 1/2436396322816 (pow.f64 (*.f64 x x) 3))) (+.f64 16777216/353814783205469041 (*.f64 (*.f64 1/2436396322816 (pow.f64 (*.f64 x x) 3)) 4096/594823321))))
(/.f64 (/.f64 (+.f64 (*.f64 1/181063936 (pow.f64 x 4)) -256/707281) 1) (fma.f64 x (*.f64 x 1/13456) 16/841))
(/.f64 (/.f64 (+.f64 (*.f64 1/181063936 (pow.f64 x 4)) -256/707281) (sqrt.f64 (fma.f64 x (*.f64 x 1/13456) 16/841))) (sqrt.f64 (fma.f64 x (*.f64 x 1/13456) 16/841)))
(/.f64 (/.f64 (+.f64 (*.f64 1/181063936 (pow.f64 x 4)) -256/707281) (*.f64 (cbrt.f64 (fma.f64 x (*.f64 x 1/13456) 16/841)) (cbrt.f64 (fma.f64 x (*.f64 x 1/13456) 16/841)))) (cbrt.f64 (fma.f64 x (*.f64 x 1/13456) 16/841)))
(/.f64 (/.f64 (+.f64 (*.f64 1/2436396322816 (pow.f64 (*.f64 x x) 3)) -4096/594823321) 1) (+.f64 (*.f64 1/181063936 (pow.f64 x 4)) (+.f64 256/707281 (*.f64 (*.f64 x x) 1/707281))))
(/.f64 (/.f64 (+.f64 (*.f64 1/2436396322816 (pow.f64 (*.f64 x x) 3)) -4096/594823321) (sqrt.f64 (+.f64 (*.f64 1/181063936 (pow.f64 x 4)) (+.f64 256/707281 (*.f64 (*.f64 x x) 1/707281))))) (sqrt.f64 (+.f64 (*.f64 1/181063936 (pow.f64 x 4)) (+.f64 256/707281 (*.f64 (*.f64 x x) 1/707281)))))
(/.f64 (/.f64 (+.f64 (*.f64 1/2436396322816 (pow.f64 (*.f64 x x) 3)) -4096/594823321) (*.f64 (cbrt.f64 (+.f64 (*.f64 1/181063936 (pow.f64 x 4)) (+.f64 256/707281 (*.f64 (*.f64 x x) 1/707281)))) (cbrt.f64 (+.f64 (*.f64 1/181063936 (pow.f64 x 4)) (+.f64 256/707281 (*.f64 (*.f64 x x) 1/707281)))))) (cbrt.f64 (+.f64 (*.f64 1/181063936 (pow.f64 x 4)) (+.f64 256/707281 (*.f64 (*.f64 x x) 1/707281)))))
(pow.f64 (fma.f64 x (*.f64 x 1/13456) -16/841) 1)
(pow.f64 (sqrt.f64 (fma.f64 x (*.f64 x 1/13456) -16/841)) 2)
(pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 1/13456) -16/841)) 3)
(pow.f64 (pow.f64 (fma.f64 x (*.f64 x 1/13456) -16/841) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 x (*.f64 x 1/13456) -16/841) 2))
(log.f64 (exp.f64 (fma.f64 x (*.f64 x 1/13456) -16/841)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (*.f64 x 1/13456) -16/841))))
(cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x 1/13456) -16/841) 3))
(expm1.f64 (log1p.f64 (fma.f64 x (*.f64 x 1/13456) -16/841)))
(exp.f64 (log.f64 (fma.f64 x (*.f64 x 1/13456) -16/841)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (*.f64 x 1/13456) -16/841)) 1))
(log1p.f64 (expm1.f64 (fma.f64 x (*.f64 x 1/13456) -16/841)))
(fma.f64 x (*.f64 x 1/13456) -16/841)
(fma.f64 (*.f64 x x) 1/13456 -16/841)
(fma.f64 1/13456 (*.f64 x x) -16/841)
(fma.f64 (*.f64 x 1/116) (*.f64 x 1/116) -16/841)
(fma.f64 1 (*.f64 x (*.f64 x 1/13456)) -16/841)
(fma.f64 (cbrt.f64 (*.f64 1/181063936 (pow.f64 x 4))) (pow.f64 (cbrt.f64 (*.f64 x 1/116)) 2) -16/841)
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 1/13456 (pow.f64 x 2))
(*.f64 x (*.f64 x 1/13456))
(*.f64 1/13456 (pow.f64 x 2))
(*.f64 x (*.f64 x 1/13456))
(*.f64 1/13456 (pow.f64 x 2))
(*.f64 x (*.f64 x 1/13456))
(*.f64 1/13456 (pow.f64 x 2))
(*.f64 x (*.f64 x 1/13456))
(*.f64 1/13456 (pow.f64 x 2))
(*.f64 x (*.f64 x 1/13456))
(*.f64 1/13456 (pow.f64 x 2))
(*.f64 x (*.f64 x 1/13456))
(*.f64 1/13456 (pow.f64 x 2))
(*.f64 x (*.f64 x 1/13456))
(*.f64 1/13456 (pow.f64 x 2))
(*.f64 x (*.f64 x 1/13456))
(*.f64 1/13456 (pow.f64 x 2))
(*.f64 x (*.f64 x 1/13456))
(*.f64 1/13456 (pow.f64 x 2))
(*.f64 x (*.f64 x 1/13456))
(*.f64 1/13456 (pow.f64 x 2))
(*.f64 x (*.f64 x 1/13456))
(*.f64 1/13456 (pow.f64 x 2))
(*.f64 x (*.f64 x 1/13456))
-16/841
(-.f64 (*.f64 1/13456 (pow.f64 x 2)) 16/841)
(fma.f64 x (*.f64 x 1/13456) -16/841)
(fma.f64 1/13456 (*.f64 x x) -16/841)
(-.f64 (*.f64 1/13456 (pow.f64 x 2)) 16/841)
(fma.f64 x (*.f64 x 1/13456) -16/841)
(fma.f64 1/13456 (*.f64 x x) -16/841)
(-.f64 (*.f64 1/13456 (pow.f64 x 2)) 16/841)
(fma.f64 x (*.f64 x 1/13456) -16/841)
(fma.f64 1/13456 (*.f64 x x) -16/841)
(*.f64 1/13456 (pow.f64 x 2))
(*.f64 x (*.f64 x 1/13456))
(-.f64 (*.f64 1/13456 (pow.f64 x 2)) 16/841)
(fma.f64 x (*.f64 x 1/13456) -16/841)
(fma.f64 1/13456 (*.f64 x x) -16/841)
(-.f64 (*.f64 1/13456 (pow.f64 x 2)) 16/841)
(fma.f64 x (*.f64 x 1/13456) -16/841)
(fma.f64 1/13456 (*.f64 x x) -16/841)
(-.f64 (*.f64 1/13456 (pow.f64 x 2)) 16/841)
(fma.f64 x (*.f64 x 1/13456) -16/841)
(fma.f64 1/13456 (*.f64 x x) -16/841)
(*.f64 1/13456 (pow.f64 x 2))
(*.f64 x (*.f64 x 1/13456))
(-.f64 (*.f64 1/13456 (pow.f64 x 2)) 16/841)
(fma.f64 x (*.f64 x 1/13456) -16/841)
(fma.f64 1/13456 (*.f64 x x) -16/841)
(-.f64 (*.f64 1/13456 (pow.f64 x 2)) 16/841)
(fma.f64 x (*.f64 x 1/13456) -16/841)
(fma.f64 1/13456 (*.f64 x x) -16/841)
(-.f64 (*.f64 1/13456 (pow.f64 x 2)) 16/841)
(fma.f64 x (*.f64 x 1/13456) -16/841)
(fma.f64 1/13456 (*.f64 x x) -16/841)
(+.f64 (*.f64 x 1/116) 4/29)
(fma.f64 1/116 x 4/29)
(+.f64 4/29 (*.f64 x 1/116))
(fma.f64 1/116 x 4/29)
(+.f64 (/.f64 (*.f64 x (*.f64 x 1/13456)) (fma.f64 x 1/116 -4/29)) (neg.f64 (/.f64 16/841 (fma.f64 x 1/116 -4/29))))
(+.f64 (/.f64 (*.f64 x (*.f64 x 1/13456)) (fma.f64 x 1/116 -4/29)) (/.f64 -16/841 (fma.f64 x 1/116 -4/29)))
(/.f64 (fma.f64 1/13456 (*.f64 x x) -16/841) (fma.f64 1/116 x -4/29))
(+.f64 (neg.f64 (/.f64 16/841 (fma.f64 x 1/116 -4/29))) (/.f64 (*.f64 x (*.f64 x 1/13456)) (fma.f64 x 1/116 -4/29)))
(+.f64 (/.f64 (*.f64 x (*.f64 x 1/13456)) (fma.f64 x 1/116 -4/29)) (/.f64 -16/841 (fma.f64 x 1/116 -4/29)))
(/.f64 (fma.f64 1/13456 (*.f64 x x) -16/841) (fma.f64 1/116 x -4/29))
(-.f64 (*.f64 x 1/116) -4/29)
(fma.f64 1/116 x 4/29)
(-.f64 (/.f64 (*.f64 x (*.f64 x 1/13456)) (fma.f64 x 1/116 -4/29)) (/.f64 16/841 (fma.f64 x 1/116 -4/29)))
(+.f64 (/.f64 (*.f64 x (*.f64 x 1/13456)) (fma.f64 x 1/116 -4/29)) (/.f64 -16/841 (fma.f64 x 1/116 -4/29)))
(/.f64 (fma.f64 1/13456 (*.f64 x x) -16/841) (fma.f64 1/116 x -4/29))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x 1/116 4/29))) 1)
(fma.f64 1/116 x 4/29)
(-.f64 (exp.f64 (log1p.f64 (*.f64 x 1/116))) 25/29)
(+.f64 (exp.f64 (log1p.f64 (*.f64 1/116 x))) -25/29)
(+.f64 4/29 (expm1.f64 (log1p.f64 (*.f64 1/116 x))))
(-.f64 (+.f64 4/29 (exp.f64 (log1p.f64 (*.f64 x 1/116)))) 1)
(+.f64 (exp.f64 (log1p.f64 (*.f64 1/116 x))) -25/29)
(+.f64 4/29 (expm1.f64 (log1p.f64 (*.f64 1/116 x))))
(*.f64 (fma.f64 x (*.f64 x 1/13456) -16/841) (/.f64 1 (fma.f64 x 1/116 -4/29)))
(+.f64 (/.f64 (*.f64 x (*.f64 x 1/13456)) (fma.f64 x 1/116 -4/29)) (/.f64 -16/841 (fma.f64 x 1/116 -4/29)))
(/.f64 (fma.f64 1/13456 (*.f64 x x) -16/841) (fma.f64 1/116 x -4/29))
(*.f64 (fma.f64 x 1/116 4/29) 1)
(fma.f64 1/116 x 4/29)
(*.f64 1 (fma.f64 x 1/116 4/29))
(fma.f64 1/116 x 4/29)
(*.f64 (sqrt.f64 (fma.f64 x (*.f64 x 1/13456) -16/841)) (*.f64 (sqrt.f64 (fma.f64 x (*.f64 x 1/13456) -16/841)) (/.f64 1 (fma.f64 x 1/116 -4/29))))
(+.f64 (/.f64 (*.f64 x (*.f64 x 1/13456)) (fma.f64 x 1/116 -4/29)) (/.f64 -16/841 (fma.f64 x 1/116 -4/29)))
(/.f64 (fma.f64 1/13456 (*.f64 x x) -16/841) (fma.f64 1/116 x -4/29))
(*.f64 (sqrt.f64 (fma.f64 x 1/116 4/29)) (sqrt.f64 (fma.f64 x 1/116 4/29)))
(fma.f64 1/116 x 4/29)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 1/13456) -16/841)) 2) (*.f64 (cbrt.f64 (fma.f64 x (*.f64 x 1/13456) -16/841)) (/.f64 1 (fma.f64 x 1/116 -4/29))))
(+.f64 (/.f64 (*.f64 x (*.f64 x 1/13456)) (fma.f64 x 1/116 -4/29)) (/.f64 -16/841 (fma.f64 x 1/116 -4/29)))
(/.f64 (fma.f64 1/13456 (*.f64 x x) -16/841) (fma.f64 1/116 x -4/29))
(*.f64 (cbrt.f64 (fma.f64 x 1/116 4/29)) (pow.f64 (cbrt.f64 (fma.f64 x 1/116 4/29)) 2))
(fma.f64 1/116 x 4/29)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/116 4/29)) 2) (cbrt.f64 (fma.f64 x 1/116 4/29)))
(fma.f64 1/116 x 4/29)
(*.f64 (/.f64 1 (fma.f64 x 1/116 -4/29)) (fma.f64 x (*.f64 x 1/13456) -16/841))
(+.f64 (/.f64 (*.f64 x (*.f64 x 1/13456)) (fma.f64 x 1/116 -4/29)) (/.f64 -16/841 (fma.f64 x 1/116 -4/29)))
(/.f64 (fma.f64 1/13456 (*.f64 x x) -16/841) (fma.f64 1/116 x -4/29))
(*.f64 (-.f64 16/841 (*.f64 x (*.f64 x 1/13456))) (/.f64 -1 (fma.f64 x 1/116 -4/29)))
(*.f64 (/.f64 -1 (fma.f64 1/116 x -4/29)) (+.f64 16/841 (*.f64 (*.f64 x x) -1/13456)))
(*.f64 (/.f64 -1 (fma.f64 1/116 x -4/29)) (neg.f64 (fma.f64 1/13456 (*.f64 x x) -16/841)))
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 x 1/116 -4/29))) (/.f64 (fma.f64 x (*.f64 x 1/13456) -16/841) (sqrt.f64 (fma.f64 x 1/116 -4/29))))
(/.f64 (/.f64 (fma.f64 1/13456 (*.f64 x x) -16/841) (sqrt.f64 (fma.f64 1/116 x -4/29))) (sqrt.f64 (fma.f64 1/116 x -4/29)))
(/.f64 (fma.f64 1/13456 (*.f64 x x) -16/841) (*.f64 (sqrt.f64 (fma.f64 1/116 x -4/29)) (sqrt.f64 (fma.f64 1/116 x -4/29))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 x 1/116 -4/29) 2))) (/.f64 (fma.f64 x (*.f64 x 1/13456) -16/841) (cbrt.f64 (fma.f64 x 1/116 -4/29))))
(/.f64 (*.f64 1 (/.f64 (fma.f64 x (*.f64 x 1/13456) -16/841) (cbrt.f64 (fma.f64 x 1/116 -4/29)))) (cbrt.f64 (pow.f64 (fma.f64 x 1/116 -4/29) 2)))
(/.f64 (/.f64 (fma.f64 1/13456 (*.f64 x x) -16/841) (cbrt.f64 (fma.f64 1/116 x -4/29))) (cbrt.f64 (pow.f64 (fma.f64 1/116 x -4/29) 2)))
(/.f64 (fma.f64 1/13456 (*.f64 x x) -16/841) (*.f64 (cbrt.f64 (fma.f64 1/116 x -4/29)) (cbrt.f64 (pow.f64 (fma.f64 1/116 x -4/29) 2))))
(*.f64 (/.f64 (fma.f64 x (*.f64 x 1/13456) -16/841) (fma.f64 x (*.f64 x 1/13456) -16/841)) (fma.f64 x 1/116 4/29))
(fma.f64 1/116 x 4/29)
(*.f64 (/.f64 (fma.f64 x (*.f64 x 1/13456) -16/841) (+.f64 (*.f64 1/1560896 (pow.f64 x 3)) -64/24389)) (+.f64 (fma.f64 x (*.f64 x 1/13456) 16/841) (*.f64 x 1/841)))
(/.f64 (*.f64 (fma.f64 x (*.f64 x 1/13456) -16/841) (+.f64 (fma.f64 x (*.f64 x 1/13456) 16/841) (*.f64 x 1/841))) (fma.f64 1/1560896 (pow.f64 x 3) -64/24389))
(*.f64 (/.f64 (fma.f64 1/13456 (*.f64 x x) -16/841) (fma.f64 1/1560896 (pow.f64 x 3) -64/24389)) (fma.f64 x 1/841 (fma.f64 x (*.f64 x 1/13456) 16/841)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 x (*.f64 x 1/13456) -16/841)) 1) (/.f64 (sqrt.f64 (fma.f64 x 1/116 4/29)) (sqrt.f64 (fma.f64 x 1/116 -4/29))))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 x (*.f64 x 1/13456) -16/841)) (sqrt.f64 (fma.f64 1/116 x 4/29))) (sqrt.f64 (fma.f64 x 1/116 -4/29)))
(*.f64 (sqrt.f64 (fma.f64 1/13456 (*.f64 x x) -16/841)) (/.f64 (sqrt.f64 (fma.f64 1/116 x 4/29)) (sqrt.f64 (fma.f64 1/116 x -4/29))))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 x (*.f64 x 1/13456) -16/841)) (cbrt.f64 (pow.f64 (fma.f64 x 1/116 -4/29) 2))) (/.f64 (sqrt.f64 (fma.f64 x (*.f64 x 1/13456) -16/841)) (cbrt.f64 (fma.f64 x 1/116 -4/29))))
(/.f64 (*.f64 1 (/.f64 (fma.f64 x (*.f64 x 1/13456) -16/841) (cbrt.f64 (fma.f64 x 1/116 -4/29)))) (cbrt.f64 (pow.f64 (fma.f64 x 1/116 -4/29) 2)))
(/.f64 (/.f64 (fma.f64 1/13456 (*.f64 x x) -16/841) (cbrt.f64 (fma.f64 1/116 x -4/29))) (cbrt.f64 (pow.f64 (fma.f64 1/116 x -4/29) 2)))
(/.f64 (fma.f64 1/13456 (*.f64 x x) -16/841) (*.f64 (cbrt.f64 (fma.f64 1/116 x -4/29)) (cbrt.f64 (pow.f64 (fma.f64 1/116 x -4/29) 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 1/13456) -16/841)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 x (*.f64 x 1/13456) -16/841)) (fma.f64 x 1/116 -4/29)))
(+.f64 (/.f64 (*.f64 x (*.f64 x 1/13456)) (fma.f64 x 1/116 -4/29)) (/.f64 -16/841 (fma.f64 x 1/116 -4/29)))
(/.f64 (fma.f64 1/13456 (*.f64 x x) -16/841) (fma.f64 1/116 x -4/29))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 1/13456) -16/841)) 2) (sqrt.f64 (fma.f64 x 1/116 -4/29))) (/.f64 (cbrt.f64 (fma.f64 x 1/116 4/29)) (cbrt.f64 (sqrt.f64 (fma.f64 x 1/116 -4/29)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 1/13456) -16/841)) 2) (sqrt.f64 (fma.f64 x 1/116 -4/29))) (/.f64 (cbrt.f64 (fma.f64 1/116 x 4/29)) (cbrt.f64 (sqrt.f64 (fma.f64 x 1/116 -4/29)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 1/13456 (*.f64 x x) -16/841)) 2) (sqrt.f64 (fma.f64 1/116 x -4/29))) (/.f64 (cbrt.f64 (fma.f64 1/116 x 4/29)) (cbrt.f64 (sqrt.f64 (fma.f64 1/116 x -4/29)))))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 1/13456 (*.f64 x x) -16/841)) 2) (*.f64 (/.f64 (sqrt.f64 (fma.f64 1/116 x -4/29)) (cbrt.f64 (fma.f64 1/116 x 4/29))) (cbrt.f64 (sqrt.f64 (fma.f64 1/116 x -4/29)))))
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(expm1.f64 (log1p.f64 (fma.f64 x (*.f64 x 1/13456) -16/841)))
(fma.f64 x (*.f64 x 1/13456) -16/841)
(fma.f64 1/13456 (*.f64 x x) -16/841)
(exp.f64 (log.f64 (fma.f64 x (*.f64 x 1/13456) -16/841)))
(fma.f64 x (*.f64 x 1/13456) -16/841)
(fma.f64 1/13456 (*.f64 x x) -16/841)
(exp.f64 (*.f64 (log.f64 (fma.f64 x (*.f64 x 1/13456) -16/841)) 1))
(fma.f64 x (*.f64 x 1/13456) -16/841)
(fma.f64 1/13456 (*.f64 x x) -16/841)
(log1p.f64 (expm1.f64 (fma.f64 x (*.f64 x 1/13456) -16/841)))
(fma.f64 x (*.f64 x 1/13456) -16/841)
(fma.f64 1/13456 (*.f64 x x) -16/841)
(fma.f64 x (*.f64 x 1/13456) -16/841)
(fma.f64 1/13456 (*.f64 x x) -16/841)
(fma.f64 (*.f64 x x) 1/13456 -16/841)
(fma.f64 x (*.f64 x 1/13456) -16/841)
(fma.f64 1/13456 (*.f64 x x) -16/841)
(fma.f64 1/13456 (*.f64 x x) -16/841)
(fma.f64 x (*.f64 x 1/13456) -16/841)
(fma.f64 (*.f64 x 1/116) (*.f64 x 1/116) -16/841)
(fma.f64 x (*.f64 x 1/13456) -16/841)
(fma.f64 1/13456 (*.f64 x x) -16/841)
(fma.f64 1 (*.f64 x (*.f64 x 1/13456)) -16/841)
(fma.f64 x (*.f64 x 1/13456) -16/841)
(fma.f64 1/13456 (*.f64 x x) -16/841)
(fma.f64 (cbrt.f64 (*.f64 1/181063936 (pow.f64 x 4))) (pow.f64 (cbrt.f64 (*.f64 x 1/116)) 2) -16/841)
(fma.f64 (cbrt.f64 (*.f64 1/181063936 (pow.f64 x 4))) (pow.f64 (cbrt.f64 (*.f64 1/116 x)) 2) -16/841)

eval115.0ms (6.3%)

Compiler

Compiled 4755 to 3719 computations (21.8% saved)

prune31.0ms (1.7%)

Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New2170217
Fresh011
Picked011
Done033
Total2175222
Error
0b
Counts
222 → 5
Alt Table
Click to see full alt table
StatusErrorProgram
14.4b
(/.f64 (-.f64 (*.f64 (*.f64 x x) 1/13456) 16/841) (-.f64 (*.f64 1/116 x) 4/29))
0.0b
(/.f64 (+.f64 x 16) 116)
0.1b
(+.f64 4/29 (*.f64 1/116 x))
33.0b
(*.f64 1/116 x)
30.4b
4/29
Compiler

Compiled 32 to 26 computations (18.8% 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
14.4b
(/.f64 (-.f64 (*.f64 (*.f64 x x) 1/13456) 16/841) (-.f64 (*.f64 1/116 x) 4/29))
0.0b
(/.f64 (+.f64 x 16) 116)
0.1b
(+.f64 4/29 (*.f64 1/116 x))
33.0b
(*.f64 1/116 x)
30.4b
4/29
Compiler

Compiled 32 to 26 computations (18.8% saved)

regimes14.0ms (0.8%)

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 (-.f64 (*.f64 (*.f64 x x) 1/13456) 16/841) (-.f64 (*.f64 1/116 x) 4/29))
(fma.f64 1/116 x 4/29)
Outputs
(/.f64 (+.f64 x 16) 116)
Calls

3 calls:

5.0ms
x
4.0ms
(+.f64 x 16)
3.0ms
(/.f64 (+.f64 x 16) 116)
Results
ErrorSegmentsBranch
0.0b1x
0.0b1(/.f64 (+.f64 x 16) 116)
0.0b1(+.f64 x 16)
Compiler

Compiled 44 to 34 computations (22.7% saved)

regimes5.0ms (0.3%)

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:

4.0ms
x
Results
ErrorSegmentsBranch
0.1b1x
Compiler

Compiled 12 to 9 computations (25% saved)

regimes9.0ms (0.5%)

Accuracy

Total -60.1b remaining (-3650.4%)

Threshold costs -60.1b (-3650.4%)

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:

8.0ms
x
Results
ErrorSegmentsBranch
1.6b3x
Compiler

Compiled 7 to 5 computations (28.6% saved)

bsearch29.0ms (1.6%)

Algorithm
binary-search
Steps
TimeLeftRight
10.0ms
8.742874601714373
507.3288077623624
19.0ms
-1476.1021114207147
-9.261127397406243e-6
Results
26.0ms256×body256valid
Compiler

Compiled 138 to 120 computations (13% saved)

simplify6.0ms (0.3%)

Algorithm
egg-herbie
Rules
+-commutative
if-if-or-not
*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01960
12760
Stop Event
fuel
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%)

end25.0ms (1.4%)

Compiler

Compiled 27 to 21 computations (22.2% saved)

Profiling

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