Details

Time bar (total: 1.8s)

analyze3.0ms (0.2%)

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
50%50%0%3
75%25%0%4
87.5%12.5%0%5
93.7%6.2%0%6
96.8%3.1%0%7
98.4%1.6%0%8
99.2%0.8%0%9
99.6%0.4%0%10
99.8%0.2%0%11
99.9%0.1%0%12
Compiler

Compiled 7 to 6 computations (14.3% saved)

sample848.0ms (47.9%)

Results
835.0ms8256×body256valid

preprocess20.0ms (1.1%)

Algorithm
egg-herbie
Rules
+-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
177
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)

simplify10.0ms (0.5%)

Algorithm
egg-herbie
Rules
+-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
177
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 2 expressions with local error:

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

Compiled 12 to 9 computations (25% saved)

series2.0ms (0.1%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
1.0ms
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)

rewrite75.0ms (4.3%)

Algorithm
batch-egg-rewrite
Rules
695×pow1_binary64
664×add-log-exp_binary64
664×log1p-expm1-u_binary64
664×expm1-log1p-u_binary64
655×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
11417
217417
Stop Event
node limit
Counts
1 → 23
Calls
Call 1
Inputs
(/.f64 (+.f64 x 16) 116)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.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 (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 (pow.f64 (cbrt.f64 (+.f64 x 16)) 2) (*.f64 (cbrt.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 (sqrt.f64 (+.f64 x 16)) (*.f64 (sqrt.f64 (+.f64 x 16)) 1/116))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -16 (neg.f64 x)) -1/116)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/116 (+.f64 x 16))))) (#(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 (pow.f64 (*.f64 (+.f64 x 16) 1/116) 3) 1/3)))) (#(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 (sqrt.f64 (*.f64 (+.f64 x 16) 1/116)) 2)))) (#(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 cbrt.f64 (pow.f64 (*.f64 (+.f64 x 16) 1/116) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.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 expm1.f64 (log1p.f64 (*.f64 (+.f64 x 16) 1/116)))))))

simplify8.0ms (0.5%)

Algorithm
egg-herbie
Rules
fma-def_binary64
+-commutative_binary64
*-commutative_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0672
1854
21054
Stop Event
saturated
Counts
35 → 27
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))
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)

eval119.0ms (6.7%)

Compiler

Compiled 209 to 178 computations (14.8% saved)

prune6.0ms (0.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New22527
Fresh000
Picked011
Done000
Total22628
Error
0b
Counts
28 → 6
Alt Table
Click to see full alt table
StatusErrorProgram
26.1b
(pow.f64 (pow.f64 (*.f64 (+.f64 x 16) 1/116) 3) 1/3)
29.8b
4/29
0.9b
(-.f64 (+.f64 1 (*.f64 (+.f64 x 16) 1/116)) 1)
34.3b
(*.f64 1/116 x)
0.1b
(+.f64 4/29 (*.f64 1/116 x))
0.0b
(/.f64 (+.f64 x 16) 116)
Compiler

Compiled 38 to 33 computations (13.2% saved)

localize6.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiled 12 to 9 computations (25% saved)

series3.0ms (0.1%)

Counts
2 → 3
Calls

6 calls:

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

rewrite51.0ms (2.9%)

Algorithm
batch-egg-rewrite
Rules
653×pow1_binary64
618×add-log-exp_binary64
618×log1p-expm1-u_binary64
618×expm1-log1p-u_binary64
609×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0611
11329
216059
Stop Event
node limit
Counts
2 → 43
Calls
Call 1
Inputs
(*.f64 1/116 x)
(+.f64 4/29 (*.f64 1/116 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 1/116 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/116 x) 1)))) (#(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 (sqrt.f64 (*.f64 1/116 x)) 2)))) (#(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 (*.f64 x 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 log1p.f64 (expm1.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 expm1.f64 (log1p.f64 (*.f64 1/116 x)))))))
((#(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 (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 (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 (+.f64 64/24389 (pow.f64 (*.f64 1/116 x) 3)) (/.f64 1 (+.f64 16/841 (-.f64 (*.f64 (*.f64 x x) 1/13456) (*.f64 1/841 x)))))))) (#(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 1 (/.f64 (+.f64 16/841 (-.f64 (*.f64 (*.f64 x x) 1/13456) (*.f64 1/841 x))) (+.f64 64/24389 (pow.f64 (*.f64 1/116 x) 3))))))) (#(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 (+.f64 64/24389 (pow.f64 (*.f64 1/116 x) 3)) (+.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 (pow.f64 (*.f64 1/116 x) 3)) (+.f64 (*.f64 (*.f64 x x) 1/13456) (-.f64 16/841 (*.f64 1/841 x))))))) (#(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 (neg.f64 (+.f64 64/24389 (pow.f64 (*.f64 1/116 x) 3))) (neg.f64 (+.f64 16/841 (-.f64 (*.f64 (*.f64 x x) 1/13456) (*.f64 1/841 x)))))))) (#(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 (-.f64 (*.f64 (*.f64 x x) 1/13456) 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 (pow.f64 (fma.f64 1/116 x 4/29) 3) 1/3)))) (#(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 (sqrt.f64 (fma.f64 1/116 x 4/29)) 2)))) (#(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 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 (pow.f64 (cbrt.f64 (*.f64 1/116 x)) 2) (cbrt.f64 (*.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 log1p.f64 (expm1.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 expm1.f64 (log1p.f64 (fma.f64 1/116 x 4/29)))))))

simplify7.0ms (0.4%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
059
169
Stop Event
saturated
Counts
46 → 45
Calls
Call 1
Inputs
4/29
(*.f64 1/116 x)
(*.f64 1/116 x)
Outputs
4/29
(*.f64 1/116 x)
(*.f64 1/116 x)

localize3.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiled 6 to 4 computations (33.3% saved)

rewrite0.0ms (0%)

Counts
0 → 0

simplify6.0ms (0.4%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
Stop Event
saturated
Counts
0 → 0
Calls
Call 1
Inputs
Outputs

localize20.0ms (1.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.8b
(-.f64 (+.f64 1 (*.f64 (+.f64 x 16) 1/116)) 1)
0.1b
(*.f64 (+.f64 x 16) 1/116)
0.1b
(*.f64 (+.f64 x 16) 1/116)
0.8b
(-.f64 (+.f64 1 (*.f64 (+.f64 x 16) 1/116)) 1)
Compiler

Compiled 29 to 24 computations (17.2% saved)

series2.0ms (0.1%)

Counts
2 → 24
Calls

6 calls:

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

rewrite66.0ms (3.7%)

Algorithm
batch-egg-rewrite
Rules
545×unpow-prod-down_binary64
468×prod-diff_binary64
434×fma-def_binary64
355×log-prod_binary64
230×pow2_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0926
120814
2271810
Stop Event
node limit
Counts
2 → 181
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (*.f64 (+.f64 x 16) 1/116)) 1)
(*.f64 (+.f64 x 16) 1/116)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (fma.f64 x 1/116 4/29) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (+.f64 (fma.f64 x 1/116 4/29) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x 1/116 4/29) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (fma.f64 x 1/116 4/29)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 x 1/116 4/29))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (fma.f64 x 1/116 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (fma.f64 x 1/116 4/29) -1) 1)))) (#(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 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 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x 1/116 4/29))) 2)) (log.f64 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(fma.f64 x 1/116 4/29) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (+.f64 (fma.f64 x 1/116 4/29) -1) 3)) (+.f64 1 (-.f64 (pow.f64 (+.f64 (fma.f64 x 1/116 4/29) -1) 2) (+.f64 (fma.f64 x 1/116 4/29) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (+.f64 (fma.f64 x 1/116 4/29) -1) 2)) (-.f64 1 (+.f64 (fma.f64 x 1/116 4/29) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 4096 (pow.f64 x 3)) 1/116) (-.f64 (fma.f64 x x 256) (*.f64 x 16)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x x -256) 1/116) (+.f64 x -16))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/116 (+.f64 4096 (pow.f64 x 3))) (-.f64 (fma.f64 x x 256) (*.f64 x 16)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/116 (fma.f64 x x -256)) (+.f64 x -16))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x 1/116 4/29) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x 1/116 4/29) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x 1/116 4/29)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x 1/116 4/29)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x 1/116 4/29) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (fma.f64 x 1/116 4/29)) 2) (+.f64 (fma.f64 x 1/116 4/29) 2)) (expm1.f64 (*.f64 3 (log1p.f64 (fma.f64 x 1/116 4/29))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (fma.f64 x 1/116 4/29) 2) (expm1.f64 (*.f64 2 (log1p.f64 (fma.f64 x 1/116 4/29))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x 1/116 4/29) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x 1/116 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 1/116 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x 1/116 4/29) 3))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 (fma.f64 x 1/116 4/29)) (sqrt.f64 (*.f64 (fma.f64 x 1/116 4/29) (+.f64 (fma.f64 x 1/116 4/29) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 x 1/116 4/29) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 1 (fma.f64 x 1/116 4/29)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 (fma.f64 x 1/116 4/29) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1/116 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 x 16) 1/116 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/116 x 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/116 (+.f64 x 16) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 x 1/116 4/29) 1 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (fma.f64 x 1/116 4/29)) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 1 (fma.f64 x 1/116 4/29))) (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 x 1/116 4/29))) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 x 1/116 4/29))) 2) (cbrt.f64 (+.f64 1 (fma.f64 x 1/116 4/29))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 x 1/116 4/29))) 2) (*.f64 (cbrt.f64 (+.f64 1 (fma.f64 x 1/116 4/29))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 x 16)) 2) (*.f64 (cbrt.f64 (+.f64 x 16)) 1/116) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 x 1/116 4/29)) (pow.f64 (cbrt.f64 (fma.f64 x 1/116 4/29)) 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/116 4/29)) 2) (cbrt.f64 (fma.f64 x 1/116 4/29)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 1 (fma.f64 x 1/116 4/29))) (sqrt.f64 (+.f64 1 (fma.f64 x 1/116 4/29))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 1 (fma.f64 x 1/116 4/29))) (*.f64 (sqrt.f64 (+.f64 1 (fma.f64 x 1/116 4/29))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 x 16)) (*.f64 (sqrt.f64 (+.f64 x 16)) 1/116) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 x 1/116 4/29)) (sqrt.f64 (fma.f64 x 1/116 4/29)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (expm1.f64 (*.f64 3 (log1p.f64 (fma.f64 x 1/116 4/29)))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (fma.f64 x 1/116 4/29)) 2) (+.f64 (fma.f64 x 1/116 4/29) 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (pow.f64 (fma.f64 x 1/116 4/29) 3)) (/.f64 1 (fma.f64 (fma.f64 x 1/116 4/29) (+.f64 (fma.f64 x 1/116 4/29) -1) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (expm1.f64 (*.f64 2 (log1p.f64 (fma.f64 x 1/116 4/29)))) (/.f64 1 (+.f64 (fma.f64 x 1/116 4/29) 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (pow.f64 (fma.f64 x 1/116 4/29) 2)) (/.f64 1 (-.f64 1 (fma.f64 x 1/116 4/29))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 (fma.f64 x 1/116 4/29) -1)) 2) (cbrt.f64 (+.f64 (fma.f64 x 1/116 4/29) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 (fma.f64 x 1/116 4/29) -1)) (sqrt.f64 (+.f64 (fma.f64 x 1/116 4/29) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (+.f64 1 (fma.f64 x 1/116 4/29))) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (fma.f64 x 1/116 4/29)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (fma.f64 x 1/116 4/29)) 1) (-.f64 (sqrt.f64 (fma.f64 x 1/116 4/29)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/116 (pow.f64 (cbrt.f64 (+.f64 x 16)) 2)) (cbrt.f64 (+.f64 x 16)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/116 (sqrt.f64 (+.f64 x 16))) (sqrt.f64 (+.f64 x 16)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x 1/116 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x 1/116 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x 1/116 4/29)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x 1/116 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (*.f64 (log1p.f64 (fma.f64 x 1/116 4/29)) 1))))))

simplify18.0ms (1%)

Algorithm
egg-herbie
Rules
fma-def_binary64
+-commutative_binary64
*-commutative_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
06144
18108
210108
Stop Event
saturated
Counts
205 → 111
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))
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))
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)
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)

localize15.0ms (0.9%)

Local error

Found 6 expressions with local error:

NewErrorProgram
16.7b
(pow.f64 (pow.f64 (*.f64 (+.f64 x 16) 1/116) 3) 1/3)
0.2b
(pow.f64 (*.f64 (+.f64 x 16) 1/116) 3)
0.1b
(*.f64 (+.f64 x 16) 1/116)
0.1b
(*.f64 (+.f64 x 16) 1/116)
0.2b
(pow.f64 (*.f64 (+.f64 x 16) 1/116) 3)
16.7b
(pow.f64 (pow.f64 (*.f64 (+.f64 x 16) 1/116) 3) 1/3)
Compiler

Compiled 30 to 25 computations (16.7% saved)

series11.0ms (0.6%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
6.0ms
x
@inf
(pow.f64 (pow.f64 (*.f64 (+.f64 x 16) 1/116) 3) 1/3)
2.0ms
x
@0
(pow.f64 (pow.f64 (*.f64 (+.f64 x 16) 1/116) 3) 1/3)
2.0ms
x
@-inf
(pow.f64 (pow.f64 (*.f64 (+.f64 x 16) 1/116) 3) 1/3)
1.0ms
x
@-inf
(pow.f64 (*.f64 (+.f64 x 16) 1/116) 3)
0.0ms
x
@inf
(pow.f64 (*.f64 (+.f64 x 16) 1/116) 3)

rewrite55.0ms (3.1%)

Algorithm
batch-egg-rewrite
Rules
900×pow1_binary64
860×add-log-exp_binary64
859×log1p-expm1-u_binary64
859×expm1-log1p-u_binary64
844×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01017
123317
2236317
Stop Event
node limit
Counts
2 → 56
Calls
Call 1
Inputs
(pow.f64 (pow.f64 (*.f64 (+.f64 x 16) 1/116) 3) 1/3)
(pow.f64 (*.f64 (+.f64 x 16) 1/116) 3)
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 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 1 (+.f64 (*.f64 x 1/116) 4/29)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x 16) 1/116)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x 16) (pow.f64 1/1560896 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/116 (+.f64 x 16))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 x 1/116) 4/29) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (*.f64 x 1/116) 4/29))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (*.f64 x 1/116) 4/29)) (pow.f64 (cbrt.f64 (+.f64 (*.f64 x 1/116) 4/29)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (*.f64 x 1/116) 4/29)) (pow.f64 (pow.f64 (+.f64 (*.f64 x 1/116) 4/29) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 x 1/116) 4/29)) 2) (cbrt.f64 (+.f64 (*.f64 x 1/116) 4/29)))))) (#(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 (sqrt.f64 (+.f64 (*.f64 x 1/116) 4/29)) (sqrt.f64 (+.f64 (*.f64 x 1/116) 4/29)))))) (#(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 (pow.f64 (pow.f64 (+.f64 (*.f64 x 1/116) 4/29) 2) 1/3) (cbrt.f64 (+.f64 (*.f64 x 1/116) 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (+.f64 (*.f64 x 1/116) 4/29))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (+.f64 (*.f64 x 1/116) 4/29) 3/2) 1/3) (pow.f64 (pow.f64 (+.f64 (*.f64 x 1/116) 4/29) 3/2) 1/3))))) (#(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 (*.f64 1/116 (sqrt.f64 (+.f64 x 16))) (sqrt.f64 (+.f64 x 16)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 4096 (pow.f64 x 3)) 1/116) (fma.f64 x x (-.f64 256 (*.f64 x 16))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x x -256) 1/116) (-.f64 x 16))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/116 (+.f64 4096 (pow.f64 x 3))) (fma.f64 x x (-.f64 256 (*.f64 x 16))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/116 (fma.f64 x x -256)) (-.f64 x 16))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (*.f64 x 1/116) 4/29) 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 cbrt.f64 (*.f64 1/1560896 (pow.f64 (+.f64 x 16) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (*.f64 x 1/116) 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (*.f64 x 1/116) 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (*.f64 x 1/116) 4/29)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 1/1560896 (pow.f64 (+.f64 x 16) 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x 16) (*.f64 1/116 (pow.f64 (+.f64 (*.f64 x 1/116) 4/29) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/116 (*.f64 (+.f64 x 16) (pow.f64 (+.f64 (*.f64 x 1/116) 4/29) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 x 1/116) 4/29) (pow.f64 (+.f64 (*.f64 x 1/116) 4/29) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/1560896 (pow.f64 (+.f64 x 16) 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 1/1560896 (pow.f64 (+.f64 x 16) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/1560896 (pow.f64 (+.f64 x 16) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 (*.f64 x 1/116) 4/29) 2) (+.f64 (*.f64 x 1/116) 4/29))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 x 1/116) 4/29)) 2) (*.f64 (cbrt.f64 (+.f64 (*.f64 x 1/116) 4/29)) (pow.f64 (+.f64 (*.f64 x 1/116) 4/29) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (*.f64 x 1/116) 4/29)) (*.f64 (sqrt.f64 (+.f64 (*.f64 x 1/116) 4/29)) (pow.f64 (+.f64 (*.f64 x 1/116) 4/29) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 x 16) 3) 1/1560896)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 (*.f64 x 1/116) 4/29) 3/2) (pow.f64 (+.f64 (*.f64 x 1/116) 4/29) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 x 1/116) 4/29)) 2) 3) (+.f64 (*.f64 x 1/116) 4/29))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (+.f64 (*.f64 x 1/116) 4/29)) 3) (pow.f64 (sqrt.f64 (+.f64 (*.f64 x 1/116) 4/29)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (+.f64 (*.f64 x 1/116) 4/29) 2) (+.f64 x 16)) 1/116)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (+.f64 (*.f64 x 1/116) 4/29) 2) 1/116) (+.f64 x 16))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (+.f64 (*.f64 x 1/116) 4/29) 2) 1) (+.f64 (*.f64 x 1/116) 4/29))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (+.f64 (*.f64 x 1/116) 4/29) 2) (pow.f64 (cbrt.f64 (+.f64 (*.f64 x 1/116) 4/29)) 2)) (cbrt.f64 (+.f64 (*.f64 x 1/116) 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (+.f64 (*.f64 x 1/116) 4/29) 2) (sqrt.f64 (+.f64 (*.f64 x 1/116) 4/29))) (sqrt.f64 (+.f64 (*.f64 x 1/116) 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (*.f64 x 1/116) 4/29) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 1/1560896 (pow.f64 (+.f64 x 16) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/1560896 (pow.f64 (+.f64 x 16) 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/1560896 (pow.f64 (+.f64 x 16) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/1560896 (pow.f64 (+.f64 x 16) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/1560896 (pow.f64 (+.f64 x 16) 3))))))))

simplify51.0ms (2.9%)

Algorithm
egg-herbie
Rules
733×cancel-sign-sub-inv_binary64
401×div-sub_binary64
397×fma-def_binary64
288×associate-/r*_binary64
285×associate-*r*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0124718
1369709
21141672
35026672
Stop Event
node limit
Counts
80 → 92
Calls
Call 1
Inputs
(cbrt.f64 64/24389)
(+.f64 (*.f64 4/24389 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 64/24389) 2)) 1/3) x)) (cbrt.f64 64/24389))
(+.f64 (*.f64 4/24389 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 64/24389) 2)) 1/3) x)) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (-.f64 3/97556 (*.f64 48/594823321 (pow.f64 (/.f64 1 (cbrt.f64 64/24389)) 1/3))) (pow.f64 x 2)) (pow.f64 (cbrt.f64 64/24389) 2))) (cbrt.f64 64/24389)))
(+.f64 (*.f64 4/24389 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 64/24389) 2)) 1/3) x)) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (-.f64 1/1560896 (+.f64 (*.f64 8/24389 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 64/24389) 5)) 1/3) (-.f64 3/97556 (*.f64 48/594823321 (pow.f64 (/.f64 1 (cbrt.f64 64/24389)) 1/3))))) (*.f64 64/14507145975869 (/.f64 1 (pow.f64 (cbrt.f64 64/24389) 2))))) (pow.f64 x 3)) (pow.f64 (cbrt.f64 64/24389) 2))) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (-.f64 3/97556 (*.f64 48/594823321 (pow.f64 (/.f64 1 (cbrt.f64 64/24389)) 1/3))) (pow.f64 x 2)) (pow.f64 (cbrt.f64 64/24389) 2))) (cbrt.f64 64/24389))))
(*.f64 (cbrt.f64 1/1560896) x)
(+.f64 (*.f64 (cbrt.f64 1/1560896) x) (*.f64 1/97556 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/1560896) 2)) 1/3)))
(+.f64 (*.f64 1/3 (/.f64 (-.f64 12/24389 (*.f64 3/9517173136 (pow.f64 (/.f64 1 (cbrt.f64 1/1560896)) 1/3))) (*.f64 (pow.f64 (cbrt.f64 1/1560896) 2) x))) (+.f64 (*.f64 (cbrt.f64 1/1560896) x) (*.f64 1/97556 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/1560896) 2)) 1/3))))
(+.f64 (*.f64 1/3 (/.f64 (-.f64 12/24389 (*.f64 3/9517173136 (pow.f64 (/.f64 1 (cbrt.f64 1/1560896)) 1/3))) (*.f64 (pow.f64 (cbrt.f64 1/1560896) 2) x))) (+.f64 (*.f64 (cbrt.f64 1/1560896) x) (+.f64 (*.f64 1/97556 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/1560896) 2)) 1/3)) (*.f64 1/3 (/.f64 (-.f64 64/24389 (+.f64 (*.f64 1/928457342455616 (/.f64 1 (pow.f64 (cbrt.f64 1/1560896) 2))) (*.f64 1/48778 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/1560896) 5)) 1/3) (-.f64 12/24389 (*.f64 3/9517173136 (pow.f64 (/.f64 1 (cbrt.f64 1/1560896)) 1/3))))))) (*.f64 (pow.f64 (cbrt.f64 1/1560896) 2) (pow.f64 x 2)))))))
(*.f64 -1 (*.f64 (cbrt.f64 -1/1560896) x))
(+.f64 (*.f64 -1 (*.f64 (cbrt.f64 -1/1560896) x)) (*.f64 1/97556 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/1560896) 2)) 1/3)))
(+.f64 (*.f64 -1 (*.f64 (cbrt.f64 -1/1560896) x)) (+.f64 (*.f64 1/3 (/.f64 (+.f64 (*.f64 3/9517173136 (pow.f64 (/.f64 1 (cbrt.f64 -1/1560896)) 1/3)) 12/24389) (*.f64 (pow.f64 (cbrt.f64 -1/1560896) 2) x))) (*.f64 1/97556 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/1560896) 2)) 1/3))))
(+.f64 (*.f64 1/3 (/.f64 (-.f64 64/24389 (+.f64 (*.f64 1/928457342455616 (/.f64 1 (pow.f64 (cbrt.f64 -1/1560896) 2))) (*.f64 -1/48778 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/1560896) 5)) 1/3) (+.f64 12/24389 (*.f64 3/9517173136 (pow.f64 (/.f64 1 (cbrt.f64 -1/1560896)) 1/3))))))) (*.f64 (pow.f64 (cbrt.f64 -1/1560896) 2) (pow.f64 x 2)))) (+.f64 (*.f64 -1 (*.f64 (cbrt.f64 -1/1560896) x)) (+.f64 (*.f64 1/3 (/.f64 (+.f64 (*.f64 3/9517173136 (pow.f64 (/.f64 1 (cbrt.f64 -1/1560896)) 1/3)) 12/24389) (*.f64 (pow.f64 (cbrt.f64 -1/1560896) 2) x))) (*.f64 1/97556 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/1560896) 2)) 1/3)))))
64/24389
(+.f64 64/24389 (*.f64 12/24389 x))
(+.f64 64/24389 (+.f64 (*.f64 3/97556 (pow.f64 x 2)) (*.f64 12/24389 x)))
(+.f64 64/24389 (+.f64 (*.f64 1/1560896 (pow.f64 x 3)) (+.f64 (*.f64 3/97556 (pow.f64 x 2)) (*.f64 12/24389 x))))
(*.f64 1/1560896 (pow.f64 x 3))
(+.f64 (*.f64 3/97556 (pow.f64 x 2)) (*.f64 1/1560896 (pow.f64 x 3)))
(+.f64 (*.f64 3/97556 (pow.f64 x 2)) (+.f64 (*.f64 1/1560896 (pow.f64 x 3)) (*.f64 12/24389 x)))
(+.f64 64/24389 (+.f64 (*.f64 3/97556 (pow.f64 x 2)) (+.f64 (*.f64 1/1560896 (pow.f64 x 3)) (*.f64 12/24389 x))))
(*.f64 1/1560896 (pow.f64 x 3))
(+.f64 (*.f64 3/97556 (pow.f64 x 2)) (*.f64 1/1560896 (pow.f64 x 3)))
(+.f64 (*.f64 3/97556 (pow.f64 x 2)) (+.f64 (*.f64 1/1560896 (pow.f64 x 3)) (*.f64 12/24389 x)))
(+.f64 64/24389 (+.f64 (*.f64 3/97556 (pow.f64 x 2)) (+.f64 (*.f64 1/1560896 (pow.f64 x 3)) (*.f64 12/24389 x))))
Outputs
(cbrt.f64 64/24389)
(+.f64 (*.f64 4/24389 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 64/24389) 2)) 1/3) x)) (cbrt.f64 64/24389))
(fma.f64 4/24389 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 64/24389) 2))) x) (cbrt.f64 64/24389))
(fma.f64 (*.f64 4/24389 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 64/24389) 2)))) x (cbrt.f64 64/24389))
(fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 64/24389) 2))) (*.f64 4/24389 x) (cbrt.f64 64/24389))
(+.f64 (*.f64 4/24389 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 64/24389) 2)) 1/3) x)) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (-.f64 3/97556 (*.f64 48/594823321 (pow.f64 (/.f64 1 (cbrt.f64 64/24389)) 1/3))) (pow.f64 x 2)) (pow.f64 (cbrt.f64 64/24389) 2))) (cbrt.f64 64/24389)))
(fma.f64 4/24389 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 64/24389) 2))) x) (fma.f64 1/3 (/.f64 (+.f64 3/97556 (*.f64 -48/594823321 (cbrt.f64 (/.f64 1 (cbrt.f64 64/24389))))) (/.f64 (pow.f64 (cbrt.f64 64/24389) 2) (*.f64 x x))) (cbrt.f64 64/24389)))
(fma.f64 4/24389 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 64/24389) 2))) x) (fma.f64 1/3 (*.f64 (/.f64 (+.f64 3/97556 (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 64/24389))) -48/594823321)) (pow.f64 (cbrt.f64 64/24389) 2)) (*.f64 x x)) (cbrt.f64 64/24389)))
(fma.f64 4/24389 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 64/24389) 2))) x) (fma.f64 1/3 (*.f64 (*.f64 x x) (/.f64 (fma.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 64/24389))) -48/594823321 3/97556) (pow.f64 (cbrt.f64 64/24389) 2))) (cbrt.f64 64/24389)))
(+.f64 (*.f64 4/24389 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 64/24389) 2)) 1/3) x)) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (-.f64 1/1560896 (+.f64 (*.f64 8/24389 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 64/24389) 5)) 1/3) (-.f64 3/97556 (*.f64 48/594823321 (pow.f64 (/.f64 1 (cbrt.f64 64/24389)) 1/3))))) (*.f64 64/14507145975869 (/.f64 1 (pow.f64 (cbrt.f64 64/24389) 2))))) (pow.f64 x 3)) (pow.f64 (cbrt.f64 64/24389) 2))) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (-.f64 3/97556 (*.f64 48/594823321 (pow.f64 (/.f64 1 (cbrt.f64 64/24389)) 1/3))) (pow.f64 x 2)) (pow.f64 (cbrt.f64 64/24389) 2))) (cbrt.f64 64/24389))))
(fma.f64 4/24389 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 64/24389) 2))) x) (fma.f64 1/3 (/.f64 (-.f64 1/1560896 (fma.f64 8/24389 (*.f64 (+.f64 3/97556 (*.f64 -48/594823321 (cbrt.f64 (/.f64 1 (cbrt.f64 64/24389))))) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 64/24389) 5)))) (/.f64 64/14507145975869 (pow.f64 (cbrt.f64 64/24389) 2)))) (/.f64 (pow.f64 (cbrt.f64 64/24389) 2) (pow.f64 x 3))) (fma.f64 1/3 (/.f64 (+.f64 3/97556 (*.f64 -48/594823321 (cbrt.f64 (/.f64 1 (cbrt.f64 64/24389))))) (/.f64 (pow.f64 (cbrt.f64 64/24389) 2) (*.f64 x x))) (cbrt.f64 64/24389))))
(fma.f64 4/24389 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 64/24389) 2))) x) (fma.f64 1/3 (*.f64 (/.f64 (-.f64 1/1560896 (fma.f64 8/24389 (*.f64 (+.f64 3/97556 (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 64/24389))) -48/594823321)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 64/24389) 5)))) (/.f64 64/14507145975869 (pow.f64 (cbrt.f64 64/24389) 2)))) (pow.f64 (cbrt.f64 64/24389) 2)) (pow.f64 x 3)) (fma.f64 1/3 (*.f64 (/.f64 (+.f64 3/97556 (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 64/24389))) -48/594823321)) (pow.f64 (cbrt.f64 64/24389) 2)) (*.f64 x x)) (cbrt.f64 64/24389))))
(fma.f64 4/24389 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 64/24389) 2))) x) (fma.f64 1/3 (fma.f64 (/.f64 (-.f64 1/1560896 (fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 64/24389) 5))) (*.f64 (fma.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 64/24389))) -48/594823321 3/97556) 8/24389) (/.f64 64/14507145975869 (pow.f64 (cbrt.f64 64/24389) 2)))) (pow.f64 (cbrt.f64 64/24389) 2)) (pow.f64 x 3) (*.f64 (*.f64 x x) (/.f64 (fma.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 64/24389))) -48/594823321 3/97556) (pow.f64 (cbrt.f64 64/24389) 2)))) (cbrt.f64 64/24389)))
(fma.f64 4/24389 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 64/24389) 2))) x) (fma.f64 1/3 (fma.f64 (/.f64 (+.f64 1/1560896 (fma.f64 (*.f64 -8/24389 (fma.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 64/24389))) -48/594823321 3/97556)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 64/24389) 5))) (/.f64 -64/14507145975869 (pow.f64 (cbrt.f64 64/24389) 2)))) (pow.f64 (cbrt.f64 64/24389) 2)) (pow.f64 x 3) (*.f64 (*.f64 x x) (/.f64 (fma.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 64/24389))) -48/594823321 3/97556) (pow.f64 (cbrt.f64 64/24389) 2)))) (cbrt.f64 64/24389)))
(*.f64 (cbrt.f64 1/1560896) x)
(*.f64 x (cbrt.f64 1/1560896))
(+.f64 (*.f64 (cbrt.f64 1/1560896) x) (*.f64 1/97556 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/1560896) 2)) 1/3)))
(fma.f64 (cbrt.f64 1/1560896) x (*.f64 1/97556 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/1560896) 2)))))
(fma.f64 1/97556 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/1560896) 2))) (*.f64 x (cbrt.f64 1/1560896)))
(+.f64 (*.f64 1/3 (/.f64 (-.f64 12/24389 (*.f64 3/9517173136 (pow.f64 (/.f64 1 (cbrt.f64 1/1560896)) 1/3))) (*.f64 (pow.f64 (cbrt.f64 1/1560896) 2) x))) (+.f64 (*.f64 (cbrt.f64 1/1560896) x) (*.f64 1/97556 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/1560896) 2)) 1/3))))
(fma.f64 1/3 (/.f64 (+.f64 12/24389 (*.f64 -3/9517173136 (cbrt.f64 (/.f64 1 (cbrt.f64 1/1560896))))) (*.f64 x (pow.f64 (cbrt.f64 1/1560896) 2))) (fma.f64 (cbrt.f64 1/1560896) x (*.f64 1/97556 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/1560896) 2))))))
(fma.f64 1/3 (/.f64 (+.f64 12/24389 (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 1/1560896))) -3/9517173136)) (*.f64 x (pow.f64 (cbrt.f64 1/1560896) 2))) (fma.f64 1/97556 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/1560896) 2))) (*.f64 x (cbrt.f64 1/1560896))))
(fma.f64 x (cbrt.f64 1/1560896) (fma.f64 1/97556 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/1560896) 2))) (/.f64 (+.f64 4/24389 (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 1/1560896))) -1/9517173136)) (*.f64 x (pow.f64 (cbrt.f64 1/1560896) 2)))))
(+.f64 (*.f64 1/3 (/.f64 (-.f64 12/24389 (*.f64 3/9517173136 (pow.f64 (/.f64 1 (cbrt.f64 1/1560896)) 1/3))) (*.f64 (pow.f64 (cbrt.f64 1/1560896) 2) x))) (+.f64 (*.f64 (cbrt.f64 1/1560896) x) (+.f64 (*.f64 1/97556 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/1560896) 2)) 1/3)) (*.f64 1/3 (/.f64 (-.f64 64/24389 (+.f64 (*.f64 1/928457342455616 (/.f64 1 (pow.f64 (cbrt.f64 1/1560896) 2))) (*.f64 1/48778 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/1560896) 5)) 1/3) (-.f64 12/24389 (*.f64 3/9517173136 (pow.f64 (/.f64 1 (cbrt.f64 1/1560896)) 1/3))))))) (*.f64 (pow.f64 (cbrt.f64 1/1560896) 2) (pow.f64 x 2)))))))
(fma.f64 1/3 (/.f64 (+.f64 12/24389 (*.f64 -3/9517173136 (cbrt.f64 (/.f64 1 (cbrt.f64 1/1560896))))) (*.f64 x (pow.f64 (cbrt.f64 1/1560896) 2))) (fma.f64 (cbrt.f64 1/1560896) x (fma.f64 1/97556 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/1560896) 2))) (*.f64 1/3 (/.f64 (-.f64 (-.f64 64/24389 (/.f64 1/928457342455616 (pow.f64 (cbrt.f64 1/1560896) 2))) (*.f64 1/48778 (*.f64 (+.f64 12/24389 (*.f64 -3/9517173136 (cbrt.f64 (/.f64 1 (cbrt.f64 1/1560896))))) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/1560896) 5)))))) (*.f64 (*.f64 x x) (pow.f64 (cbrt.f64 1/1560896) 2)))))))
(fma.f64 1/3 (/.f64 (+.f64 12/24389 (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 1/1560896))) -3/9517173136)) (*.f64 x (pow.f64 (cbrt.f64 1/1560896) 2))) (fma.f64 x (cbrt.f64 1/1560896) (fma.f64 1/3 (/.f64 (-.f64 64/24389 (fma.f64 1/48778 (*.f64 (+.f64 12/24389 (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 1/1560896))) -3/9517173136)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/1560896) 5)))) (/.f64 1/928457342455616 (pow.f64 (cbrt.f64 1/1560896) 2)))) (*.f64 x (*.f64 x (pow.f64 (cbrt.f64 1/1560896) 2)))) (*.f64 1/97556 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/1560896) 2)))))))
(+.f64 (fma.f64 1/97556 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/1560896) 2))) (*.f64 x (cbrt.f64 1/1560896))) (*.f64 (/.f64 1/3 (pow.f64 (cbrt.f64 1/1560896) 2)) (+.f64 (/.f64 (-.f64 64/24389 (fma.f64 (fma.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 1/1560896))) -3/9517173136 12/24389) (*.f64 1/48778 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/1560896) 5)))) (/.f64 1/928457342455616 (pow.f64 (cbrt.f64 1/1560896) 2)))) (*.f64 x x)) (/.f64 (fma.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 1/1560896))) -3/9517173136 12/24389) x))))
(+.f64 (fma.f64 1/97556 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/1560896) 2))) (*.f64 x (cbrt.f64 1/1560896))) (*.f64 (/.f64 1/3 (pow.f64 (cbrt.f64 1/1560896) 2)) (+.f64 (/.f64 (+.f64 64/24389 (fma.f64 (*.f64 -1/48778 (fma.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 1/1560896))) -3/9517173136 12/24389)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/1560896) 5))) (/.f64 -1/928457342455616 (pow.f64 (cbrt.f64 1/1560896) 2)))) (*.f64 x x)) (/.f64 (fma.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 1/1560896))) -3/9517173136 12/24389) x))))
(*.f64 -1 (*.f64 (cbrt.f64 -1/1560896) x))
(neg.f64 (*.f64 x (cbrt.f64 -1/1560896)))
(*.f64 (cbrt.f64 -1/1560896) (neg.f64 x))
(+.f64 (*.f64 -1 (*.f64 (cbrt.f64 -1/1560896) x)) (*.f64 1/97556 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/1560896) 2)) 1/3)))
(fma.f64 -1 (*.f64 x (cbrt.f64 -1/1560896)) (*.f64 1/97556 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/1560896) 2)))))
(fma.f64 1/97556 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/1560896) 2))) (*.f64 (cbrt.f64 -1/1560896) (neg.f64 x)))
(+.f64 (*.f64 -1 (*.f64 (cbrt.f64 -1/1560896) x)) (+.f64 (*.f64 1/3 (/.f64 (+.f64 (*.f64 3/9517173136 (pow.f64 (/.f64 1 (cbrt.f64 -1/1560896)) 1/3)) 12/24389) (*.f64 (pow.f64 (cbrt.f64 -1/1560896) 2) x))) (*.f64 1/97556 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/1560896) 2)) 1/3))))
(fma.f64 -1 (*.f64 x (cbrt.f64 -1/1560896)) (fma.f64 1/3 (/.f64 (fma.f64 3/9517173136 (cbrt.f64 (/.f64 1 (cbrt.f64 -1/1560896))) 12/24389) (*.f64 x (pow.f64 (cbrt.f64 -1/1560896) 2))) (*.f64 1/97556 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/1560896) 2))))))
(-.f64 (fma.f64 1/97556 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/1560896) 2))) (*.f64 1/3 (/.f64 (/.f64 (fma.f64 3/9517173136 (cbrt.f64 (/.f64 1 (cbrt.f64 -1/1560896))) 12/24389) x) (pow.f64 (cbrt.f64 -1/1560896) 2)))) (*.f64 x (cbrt.f64 -1/1560896)))
(fma.f64 1/97556 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/1560896) 2))) (-.f64 (/.f64 (+.f64 4/24389 (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1/1560896))) 1/9517173136)) (*.f64 x (pow.f64 (cbrt.f64 -1/1560896) 2))) (*.f64 x (cbrt.f64 -1/1560896))))
(+.f64 (*.f64 1/3 (/.f64 (-.f64 64/24389 (+.f64 (*.f64 1/928457342455616 (/.f64 1 (pow.f64 (cbrt.f64 -1/1560896) 2))) (*.f64 -1/48778 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/1560896) 5)) 1/3) (+.f64 12/24389 (*.f64 3/9517173136 (pow.f64 (/.f64 1 (cbrt.f64 -1/1560896)) 1/3))))))) (*.f64 (pow.f64 (cbrt.f64 -1/1560896) 2) (pow.f64 x 2)))) (+.f64 (*.f64 -1 (*.f64 (cbrt.f64 -1/1560896) x)) (+.f64 (*.f64 1/3 (/.f64 (+.f64 (*.f64 3/9517173136 (pow.f64 (/.f64 1 (cbrt.f64 -1/1560896)) 1/3)) 12/24389) (*.f64 (pow.f64 (cbrt.f64 -1/1560896) 2) x))) (*.f64 1/97556 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/1560896) 2)) 1/3)))))
(fma.f64 1/3 (/.f64 (-.f64 (-.f64 64/24389 (/.f64 1/928457342455616 (pow.f64 (cbrt.f64 -1/1560896) 2))) (*.f64 -1/48778 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/1560896) 5))) (fma.f64 3/9517173136 (cbrt.f64 (/.f64 1 (cbrt.f64 -1/1560896))) 12/24389)))) (*.f64 (*.f64 x x) (pow.f64 (cbrt.f64 -1/1560896) 2))) (fma.f64 -1 (*.f64 x (cbrt.f64 -1/1560896)) (fma.f64 1/3 (/.f64 (fma.f64 3/9517173136 (cbrt.f64 (/.f64 1 (cbrt.f64 -1/1560896))) 12/24389) (*.f64 x (pow.f64 (cbrt.f64 -1/1560896) 2))) (*.f64 1/97556 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/1560896) 2)))))))
(fma.f64 1/3 (/.f64 (-.f64 64/24389 (fma.f64 -1/48778 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/1560896) 5))) (fma.f64 3/9517173136 (cbrt.f64 (/.f64 1 (cbrt.f64 -1/1560896))) 12/24389)) (/.f64 1/928457342455616 (pow.f64 (cbrt.f64 -1/1560896) 2)))) (*.f64 (*.f64 x x) (pow.f64 (cbrt.f64 -1/1560896) 2))) (-.f64 (fma.f64 1/97556 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/1560896) 2))) (*.f64 1/3 (/.f64 (/.f64 (fma.f64 3/9517173136 (cbrt.f64 (/.f64 1 (cbrt.f64 -1/1560896))) 12/24389) x) (pow.f64 (cbrt.f64 -1/1560896) 2)))) (*.f64 x (cbrt.f64 -1/1560896))))
(fma.f64 1/3 (/.f64 (-.f64 64/24389 (fma.f64 -1/48778 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/1560896) 5))) (fma.f64 3/9517173136 (cbrt.f64 (/.f64 1 (cbrt.f64 -1/1560896))) 12/24389)) (/.f64 1/928457342455616 (pow.f64 (cbrt.f64 -1/1560896) 2)))) (*.f64 (*.f64 x x) (pow.f64 (cbrt.f64 -1/1560896) 2))) (fma.f64 1/97556 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/1560896) 2))) (-.f64 (/.f64 (+.f64 4/24389 (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1/1560896))) 1/9517173136)) (*.f64 x (pow.f64 (cbrt.f64 -1/1560896) 2))) (*.f64 x (cbrt.f64 -1/1560896)))))
(fma.f64 1/3 (/.f64 (+.f64 64/24389 (fma.f64 (*.f64 1/48778 (fma.f64 3/9517173136 (cbrt.f64 (/.f64 1 (cbrt.f64 -1/1560896))) 12/24389)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/1560896) 5))) (/.f64 -1/928457342455616 (pow.f64 (cbrt.f64 -1/1560896) 2)))) (*.f64 (*.f64 x x) (pow.f64 (cbrt.f64 -1/1560896) 2))) (fma.f64 1/97556 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/1560896) 2))) (-.f64 (/.f64 (+.f64 4/24389 (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1/1560896))) 1/9517173136)) (*.f64 x (pow.f64 (cbrt.f64 -1/1560896) 2))) (*.f64 x (cbrt.f64 -1/1560896)))))
64/24389
(+.f64 64/24389 (*.f64 12/24389 x))
(+.f64 64/24389 (*.f64 x 12/24389))
(fma.f64 x 12/24389 64/24389)
(+.f64 64/24389 (+.f64 (*.f64 3/97556 (pow.f64 x 2)) (*.f64 12/24389 x)))
(+.f64 64/24389 (fma.f64 3/97556 (*.f64 x x) (*.f64 x 12/24389)))
(+.f64 64/24389 (fma.f64 x 12/24389 (*.f64 (*.f64 3/97556 x) x)))
(fma.f64 x (*.f64 x 3/97556) (fma.f64 x 12/24389 64/24389))
(+.f64 64/24389 (+.f64 (*.f64 1/1560896 (pow.f64 x 3)) (+.f64 (*.f64 3/97556 (pow.f64 x 2)) (*.f64 12/24389 x))))
(+.f64 64/24389 (fma.f64 3/97556 (*.f64 x x) (fma.f64 1/1560896 (pow.f64 x 3) (*.f64 x 12/24389))))
(+.f64 64/24389 (fma.f64 3/97556 (*.f64 x x) (fma.f64 x 12/24389 (*.f64 1/1560896 (pow.f64 x 3)))))
(fma.f64 1/1560896 (pow.f64 x 3) (fma.f64 x (*.f64 x 3/97556) (fma.f64 x 12/24389 64/24389)))
(*.f64 1/1560896 (pow.f64 x 3))
(+.f64 (*.f64 3/97556 (pow.f64 x 2)) (*.f64 1/1560896 (pow.f64 x 3)))
(fma.f64 3/97556 (*.f64 x x) (*.f64 1/1560896 (pow.f64 x 3)))
(fma.f64 1/1560896 (pow.f64 x 3) (*.f64 (*.f64 3/97556 x) x))
(*.f64 (*.f64 x x) (+.f64 3/97556 (*.f64 x 1/1560896)))
(+.f64 (*.f64 3/97556 (pow.f64 x 2)) (+.f64 (*.f64 1/1560896 (pow.f64 x 3)) (*.f64 12/24389 x)))
(fma.f64 3/97556 (*.f64 x x) (fma.f64 1/1560896 (pow.f64 x 3) (*.f64 x 12/24389)))
(fma.f64 3/97556 (*.f64 x x) (fma.f64 x 12/24389 (*.f64 1/1560896 (pow.f64 x 3))))
(fma.f64 x 12/24389 (*.f64 (*.f64 x x) (+.f64 3/97556 (*.f64 x 1/1560896))))
(+.f64 64/24389 (+.f64 (*.f64 3/97556 (pow.f64 x 2)) (+.f64 (*.f64 1/1560896 (pow.f64 x 3)) (*.f64 12/24389 x))))
(+.f64 64/24389 (fma.f64 3/97556 (*.f64 x x) (fma.f64 1/1560896 (pow.f64 x 3) (*.f64 x 12/24389))))
(+.f64 64/24389 (fma.f64 3/97556 (*.f64 x x) (fma.f64 x 12/24389 (*.f64 1/1560896 (pow.f64 x 3)))))
(fma.f64 1/1560896 (pow.f64 x 3) (fma.f64 x (*.f64 x 3/97556) (fma.f64 x 12/24389 64/24389)))
(*.f64 1/1560896 (pow.f64 x 3))
(+.f64 (*.f64 3/97556 (pow.f64 x 2)) (*.f64 1/1560896 (pow.f64 x 3)))
(fma.f64 3/97556 (*.f64 x x) (*.f64 1/1560896 (pow.f64 x 3)))
(fma.f64 1/1560896 (pow.f64 x 3) (*.f64 (*.f64 3/97556 x) x))
(*.f64 (*.f64 x x) (+.f64 3/97556 (*.f64 x 1/1560896)))
(+.f64 (*.f64 3/97556 (pow.f64 x 2)) (+.f64 (*.f64 1/1560896 (pow.f64 x 3)) (*.f64 12/24389 x)))
(fma.f64 3/97556 (*.f64 x x) (fma.f64 1/1560896 (pow.f64 x 3) (*.f64 x 12/24389)))
(fma.f64 3/97556 (*.f64 x x) (fma.f64 x 12/24389 (*.f64 1/1560896 (pow.f64 x 3))))
(fma.f64 x 12/24389 (*.f64 (*.f64 x x) (+.f64 3/97556 (*.f64 x 1/1560896))))
(+.f64 64/24389 (+.f64 (*.f64 3/97556 (pow.f64 x 2)) (+.f64 (*.f64 1/1560896 (pow.f64 x 3)) (*.f64 12/24389 x))))
(+.f64 64/24389 (fma.f64 3/97556 (*.f64 x x) (fma.f64 1/1560896 (pow.f64 x 3) (*.f64 x 12/24389))))
(+.f64 64/24389 (fma.f64 3/97556 (*.f64 x x) (fma.f64 x 12/24389 (*.f64 1/1560896 (pow.f64 x 3)))))
(fma.f64 1/1560896 (pow.f64 x 3) (fma.f64 x (*.f64 x 3/97556) (fma.f64 x 12/24389 64/24389)))

eval129.0ms (7.3%)

Compiler

Compiled 3625 to 3144 computations (13.3% saved)

prune36.0ms (2%)

Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New2602262
Fresh101
Picked101
Done044
Total2626268
Error
0b
Counts
268 → 6
Alt Table
Click to see full alt table
StatusErrorProgram
29.8b
4/29
0.0b
(/.f64 (+.f64 x 16) 116)
1.1b
(*.f64 (+.f64 x 16) (pow.f64 1/1560896 1/3))
0.9b
(-.f64 (+.f64 1 (*.f64 (+.f64 x 16) 1/116)) 1)
34.3b
(*.f64 1/116 x)
0.1b
(+.f64 4/29 (*.f64 1/116 x))
Compiler

Compiled 36 to 31 computations (13.9% saved)

localize13.0ms (0.7%)

Local error

Found 4 expressions with local error:

NewErrorProgram
1.0b
(pow.f64 1/1560896 1/3)
0.1b
(*.f64 (+.f64 x 16) (pow.f64 1/1560896 1/3))
0.1b
(*.f64 (+.f64 x 16) (pow.f64 1/1560896 1/3))
1.0b
(pow.f64 1/1560896 1/3)
Compiler

Compiled 18 to 15 computations (16.7% saved)

series2.0ms (0.1%)

Counts
2 → 12
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@0
(*.f64 (+.f64 x 16) (pow.f64 1/1560896 1/3))
0.0ms
x
@inf
(*.f64 (+.f64 x 16) (pow.f64 1/1560896 1/3))
0.0ms
x
@-inf
(*.f64 (+.f64 x 16) (pow.f64 1/1560896 1/3))

rewrite49.0ms (2.8%)

Algorithm
batch-egg-rewrite
Rules
798×pow1_binary64
758×add-log-exp_binary64
758×log1p-expm1-u_binary64
758×expm1-log1p-u_binary64
745×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0812
118112
2202112
Stop Event
node limit
Counts
2 → 33
Calls
Call 1
Inputs
(pow.f64 1/1560896 1/3)
(*.f64 (+.f64 x 16) (pow.f64 1/1560896 1/3))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 1/1560896)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 1/1560896) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 1/1560896))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 1/1560896)) (cbrt.f64 (cbrt.f64 1/2436396322816)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 1/2436396322816)) (cbrt.f64 (cbrt.f64 1/1560896)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1/1560896 1/6) (pow.f64 1/1560896 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 1/2436396322816))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 1/1560896)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 1/1560896)))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 1/1560896)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 1/1560896)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 1/1560896)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (cbrt.f64 1/1560896)) (*.f64 16 (cbrt.f64 1/1560896)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 16 (cbrt.f64 1/1560896)) (*.f64 x (cbrt.f64 1/1560896)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cbrt.f64 1/1560896) x) (*.f64 (cbrt.f64 1/1560896) 16))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cbrt.f64 1/1560896) 16) (*.f64 (cbrt.f64 1/1560896) x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (cbrt.f64 1/1560896) (+.f64 x 16))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 4096 (pow.f64 x 3)) (cbrt.f64 1/1560896)) (fma.f64 x x (-.f64 256 (*.f64 x 16))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x x -256) (cbrt.f64 1/1560896)) (+.f64 x -16))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 1/1560896) (+.f64 4096 (pow.f64 x 3))) (fma.f64 x x (-.f64 256 (*.f64 x 16))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 1/1560896) (fma.f64 x x -256)) (+.f64 x -16))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cbrt.f64 1/1560896) (+.f64 x 16)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (cbrt.f64 1/1560896) (+.f64 x 16)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (cbrt.f64 1/1560896) (+.f64 x 16))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (cbrt.f64 1/1560896) (+.f64 x 16))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (+.f64 x 16) 2) (cbrt.f64 1/2436396322816)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (+.f64 x 16)) (cbrt.f64 1/1560896)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (cbrt.f64 1/1560896) (+.f64 x 16)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 1/1560896 (pow.f64 (+.f64 x 16) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 x 16) 3) 1/1560896))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (cbrt.f64 1/1560896) (+.f64 x 16))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (cbrt.f64 1/1560896) (+.f64 x 16))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (cbrt.f64 1/1560896) (+.f64 x 16))))))))

simplify9.0ms (0.5%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
fma-def_binary64
+-commutative_binary64
distribute-rgt-out_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
08126
11299
21999
32199
Stop Event
saturated
Counts
45 → 37
Calls
Call 1
Inputs
(*.f64 16 (cbrt.f64 1/1560896))
(+.f64 (*.f64 16 (cbrt.f64 1/1560896)) (*.f64 (cbrt.f64 1/1560896) x))
(+.f64 (*.f64 16 (cbrt.f64 1/1560896)) (*.f64 (cbrt.f64 1/1560896) x))
(+.f64 (*.f64 16 (cbrt.f64 1/1560896)) (*.f64 (cbrt.f64 1/1560896) x))
(*.f64 (cbrt.f64 1/1560896) x)
(+.f64 (*.f64 16 (cbrt.f64 1/1560896)) (*.f64 (cbrt.f64 1/1560896) x))
(+.f64 (*.f64 16 (cbrt.f64 1/1560896)) (*.f64 (cbrt.f64 1/1560896) x))
(+.f64 (*.f64 16 (cbrt.f64 1/1560896)) (*.f64 (cbrt.f64 1/1560896) x))
(*.f64 (cbrt.f64 1/1560896) x)
(+.f64 (*.f64 16 (cbrt.f64 1/1560896)) (*.f64 (cbrt.f64 1/1560896) x))
(+.f64 (*.f64 16 (cbrt.f64 1/1560896)) (*.f64 (cbrt.f64 1/1560896) x))
(+.f64 (*.f64 16 (cbrt.f64 1/1560896)) (*.f64 (cbrt.f64 1/1560896) x))
Outputs
(*.f64 16 (cbrt.f64 1/1560896))
(+.f64 (*.f64 16 (cbrt.f64 1/1560896)) (*.f64 (cbrt.f64 1/1560896) x))
(fma.f64 16 (cbrt.f64 1/1560896) (*.f64 (cbrt.f64 1/1560896) x))
(*.f64 (cbrt.f64 1/1560896) (+.f64 16 x))
(+.f64 (*.f64 16 (cbrt.f64 1/1560896)) (*.f64 (cbrt.f64 1/1560896) x))
(fma.f64 16 (cbrt.f64 1/1560896) (*.f64 (cbrt.f64 1/1560896) x))
(*.f64 (cbrt.f64 1/1560896) (+.f64 16 x))
(+.f64 (*.f64 16 (cbrt.f64 1/1560896)) (*.f64 (cbrt.f64 1/1560896) x))
(fma.f64 16 (cbrt.f64 1/1560896) (*.f64 (cbrt.f64 1/1560896) x))
(*.f64 (cbrt.f64 1/1560896) (+.f64 16 x))
(*.f64 (cbrt.f64 1/1560896) x)
(+.f64 (*.f64 16 (cbrt.f64 1/1560896)) (*.f64 (cbrt.f64 1/1560896) x))
(fma.f64 16 (cbrt.f64 1/1560896) (*.f64 (cbrt.f64 1/1560896) x))
(*.f64 (cbrt.f64 1/1560896) (+.f64 16 x))
(+.f64 (*.f64 16 (cbrt.f64 1/1560896)) (*.f64 (cbrt.f64 1/1560896) x))
(fma.f64 16 (cbrt.f64 1/1560896) (*.f64 (cbrt.f64 1/1560896) x))
(*.f64 (cbrt.f64 1/1560896) (+.f64 16 x))
(+.f64 (*.f64 16 (cbrt.f64 1/1560896)) (*.f64 (cbrt.f64 1/1560896) x))
(fma.f64 16 (cbrt.f64 1/1560896) (*.f64 (cbrt.f64 1/1560896) x))
(*.f64 (cbrt.f64 1/1560896) (+.f64 16 x))
(*.f64 (cbrt.f64 1/1560896) x)
(+.f64 (*.f64 16 (cbrt.f64 1/1560896)) (*.f64 (cbrt.f64 1/1560896) x))
(fma.f64 16 (cbrt.f64 1/1560896) (*.f64 (cbrt.f64 1/1560896) x))
(*.f64 (cbrt.f64 1/1560896) (+.f64 16 x))
(+.f64 (*.f64 16 (cbrt.f64 1/1560896)) (*.f64 (cbrt.f64 1/1560896) x))
(fma.f64 16 (cbrt.f64 1/1560896) (*.f64 (cbrt.f64 1/1560896) x))
(*.f64 (cbrt.f64 1/1560896) (+.f64 16 x))
(+.f64 (*.f64 16 (cbrt.f64 1/1560896)) (*.f64 (cbrt.f64 1/1560896) x))
(fma.f64 16 (cbrt.f64 1/1560896) (*.f64 (cbrt.f64 1/1560896) x))
(*.f64 (cbrt.f64 1/1560896) (+.f64 16 x))

eval12.0ms (0.7%)

Compiler

Compiled 332 to 286 computations (13.9% saved)

prune7.0ms (0.4%)

Pruning

6 alts after pruning (1 fresh and 5 done)

PrunedKeptTotal
New37037
Fresh011
Picked011
Done044
Total37643
Error
0b
Counts
43 → 6
Alt Table
Click to see full alt table
StatusErrorProgram
29.8b
4/29
0.0b
(/.f64 (+.f64 x 16) 116)
1.1b
(*.f64 (+.f64 x 16) (pow.f64 1/1560896 1/3))
0.9b
(-.f64 (+.f64 1 (*.f64 (+.f64 x 16) 1/116)) 1)
34.3b
(*.f64 1/116 x)
0.1b
(+.f64 4/29 (*.f64 1/116 x))
Compiler

Compiled 36 to 31 computations (13.9% saved)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune3.0ms (0.2%)

Pruning

6 alts after pruning (1 fresh and 5 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done055
Total066
Error
0b
Counts
6 → 6
Alt Table
Click to see full alt table
StatusErrorProgram
29.8b
4/29
0.0b
(/.f64 (+.f64 x 16) 116)
1.1b
(*.f64 (+.f64 x 16) (pow.f64 1/1560896 1/3))
0.9b
(-.f64 (+.f64 1 (*.f64 (+.f64 x 16) 1/116)) 1)
34.3b
(*.f64 1/116 x)
0.1b
(+.f64 4/29 (*.f64 1/116 x))
Compiler

Compiled 36 to 31 computations (13.9% saved)

regimes15.0ms (0.9%)

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 1 (*.f64 (+.f64 x 16) 1/116)) 1)
(*.f64 (+.f64 x 16) (pow.f64 1/1560896 1/3))
Outputs
(/.f64 (+.f64 x 16) 116)
Calls

3 calls:

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

Compiled 43 to 35 computations (18.6% saved)

regimes9.0ms (0.5%)

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:

8.0ms
x
Results
ErrorSegmentsBranch
0.1b1x
Compiler

Compiled 12 to 9 computations (25% saved)

regimes9.0ms (0.5%)

Accuracy

Total -59.4b remaining (-2568.2%)

Threshold costs -59.4b (-2568.2%)

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
2.3b3x
Compiler

Compiled 7 to 5 computations (28.6% saved)

bsearch30.0ms (1.7%)

Algorithm
binary-search
Steps
TimeLeftRight
15.0ms
0.39211478482209317
24.519932271271855
15.0ms
-869344.4784502332
-4.405786177188472
Compiler

Compiled 10 to 8 computations (20% saved)

simplify3.0ms (0.2%)

Algorithm
egg-herbie
Rules
+-commutative_binary64
*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01736
12036
Stop Event
saturated
Calls
Call 1
Inputs
(/.f64 (+.f64 x 16) 116)
(+.f64 4/29 (*.f64 1/116 x))
(if (<=.f64 x -7467612207803857/8589934592) (*.f64 1/116 x) (if (<=.f64 x 7233241083130843136/18446744073709551616) 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 -7467612207803857/8589934592) (*.f64 1/116 x) (if (<=.f64 x 7233241083130843136/18446744073709551616) 4/29 (*.f64 1/116 x)))
(if (<=.f64 x -7467612207803857/8589934592) (*.f64 x 1/116) (if (<=.f64 x 1765927998811241/4503599627370496) 4/29 (*.f64 x 1/116)))
4/29

end35.0ms (2%)

Stop Event
fuel
Compiler

Compiled 57 to 45 computations (21.1% saved)

Profiling

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