Details

Time bar (total: 1.0s)

analyze3.0ms (0.3%)

Algorithm
1×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
99.9%0%0%13
99.9%0%0%14
Compiler

Compiled 7 to 6 computations (14.3% saved)

sample698.0ms (69.3%)

Results
686.0ms8256×body128valid
Compiler

Compiled 14 to 12 computations (14.3% saved)

preprocess18.0ms (1.8%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
067
177
011
Stop Event
1×saturated
1×saturated
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(/.f64 (+.f64 x 16) 116)
Outputs
(/.f64 (+.f64 x 16) 116)
Compiler

Compiled 6 to 5 computations (16.7% saved)

simplify6.0ms (0.6%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
067
177
Stop Event
1×saturated
Counts
1 → 1
Calls
Call 1
Inputs
(/.f64 (+.f64 x 16) 116)
Outputs
(/.f64 (+.f64 x 16) 116)

prune1.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Compiled 18 to 15 computations (16.7% saved)

localize3.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

series1.0ms (0.1%)

Counts
1 → 12
Calls

3 calls:

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

rewrite53.0ms (5.3%)

Algorithm
1×batch-egg-rewrite
Rules
695×pow1_binary64
664×add-log-exp_binary64
664×log1p-expm1-u_binary64
664×expm1-log1p-u_binary64
67×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
11417
217417
Stop Event
1×node limit
Counts
1 → 24
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 (cbrt.f64 (*.f64 (+.f64 x 16) 1/116)) (cbrt.f64 (pow.f64 (*.f64 (+.f64 x 16) 1/116) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.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 (neg.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 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 (pow.f64 (*.f64 (+.f64 x 16) 1/116) 2))))) (#(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 exp.f64 (log.f64 (*.f64 (+.f64 x 16) 1/116)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 x 16) 1/116)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 x 16) 1/116)))))))

simplify10.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
2×fma-def_binary64
1×+-commutative_binary64
1×*-commutative_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0672
1854
21054
Stop Event
1×saturated
Counts
36 → 28
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)

prune13.0ms (1.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New27128
Fresh000
Picked011
Done000
Total27229
Error
0b
Counts
29 → 2
Alt Table
StatusErrorProgram
▶14.4b
(pow.f64 (sqrt.f64 (*.f64 (+.f64 x 16) 1/116)) 2)
✓0.0b
(/.f64 (+.f64 x 16) 116)
Compiler

Compiled 242 to 207 computations (14.5% saved)

localize5.0ms (0.5%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.1b
(sqrt.f64 (*.f64 (+.f64 x 16) 1/116))
✓0.1b
(*.f64 (+.f64 x 16) 1/116)
✓0.2b
(pow.f64 (sqrt.f64 (*.f64 (+.f64 x 16) 1/116)) 2)

series6.0ms (0.6%)

Counts
3 → 20
Calls

9 calls:

TimeVariablePointExpression
2.0ms
x
@inf
(pow.f64 (sqrt.f64 (*.f64 (+.f64 x 16) 1/116)) 2)
1.0ms
x
@0
(pow.f64 (sqrt.f64 (*.f64 (+.f64 x 16) 1/116)) 2)
1.0ms
x
@-inf
(pow.f64 (sqrt.f64 (*.f64 (+.f64 x 16) 1/116)) 2)
1.0ms
x
@-inf
(sqrt.f64 (*.f64 (+.f64 x 16) 1/116))
1.0ms
x
@inf
(sqrt.f64 (*.f64 (+.f64 x 16) 1/116))

rewrite44.0ms (4.4%)

Algorithm
1×batch-egg-rewrite
Rules
787×pow1_binary64
742×log1p-expm1-u_binary64
742×expm1-log1p-u_binary64
82×add-sqr-sqrt_binary64
81×add-log-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0923
119823
2201623
Stop Event
1×node limit
Counts
3 → 82
Calls
Call 1
Inputs
(pow.f64 (sqrt.f64 (*.f64 (+.f64 x 16) 1/116)) 2)
(*.f64 (+.f64 x 16) 1/116)
(sqrt.f64 (*.f64 (+.f64 x 16) 1/116))
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 (exp.f64 (log1p.f64 (+.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 (sqrt.f64 1/116) 2))))) (#(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 (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 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)) (*.f64 (cbrt.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 (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 (cbrt.f64 (pow.f64 (+.f64 x 16) 2)) (*.f64 (cbrt.f64 (+.f64 x 16)) 1/116))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 (*.f64 x 1/116) 4/29) 1/4) (*.f64 (pow.f64 (+.f64 (*.f64 x 1/116) 4/29) 1/4) (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 (sqrt.f64 (+.f64 x 16)) (*.f64 (sqrt.f64 1/116) (sqrt.f64 (+.f64 (*.f64 x 1/116) 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 x 1/116) 4/29)) (pow.f64 (+.f64 (*.f64 x 1/116) 4/29) 1/4)) (pow.f64 (+.f64 (*.f64 x 1/116) 4/29) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/116 (cbrt.f64 (pow.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 (sqrt.f64 (+.f64 (*.f64 x 1/116) 4/29)) (cbrt.f64 (+.f64 (*.f64 x 1/116) 4/29))) (cbrt.f64 (sqrt.f64 (+.f64 (*.f64 x 1/116) 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 x 1/116) 4/29)) (sqrt.f64 (+.f64 x 16))) (sqrt.f64 1/116))))) (#(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 (*.f64 1/13456 (pow.f64 (+.f64 x 16) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/116) (+.f64 x 16)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (*.f64 x 1/116) 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (*.f64 x 1/116) 4/29) 3))))) (#(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 exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 x 1/116) 4/29)) 1))))) (#(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 expm1.f64 (log1p.f64 (+.f64 (*.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 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 (exp.f64 (log1p.f64 (+.f64 (*.f64 x 1/116) 4/29))) 1)))) (#(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 pow.f64 (+.f64 (*.f64 x 1/116) 4/29) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (*.f64 x 1/116) 4/29)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/13456 (pow.f64 (+.f64 x 16) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (*.f64 x 1/116) 4/29) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (*.f64 x 1/116) 4/29)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/13456 (pow.f64 (+.f64 x 16) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/116) (+.f64 x 16)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (*.f64 x 1/116) 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (*.f64 x 1/116) 4/29) 3))))) (#(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 exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 x 1/116) 4/29)) 1))))) (#(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 expm1.f64 (log1p.f64 (+.f64 (*.f64 x 1/116) 4/29)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 (*.f64 x 1/116) 4/29)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (*.f64 x 1/116) 4/29)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (+.f64 (*.f64 x 1/116) 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (*.f64 x 1/116) 4/29)) (cbrt.f64 (sqrt.f64 (+.f64 (*.f64 x 1/116) 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (+.f64 (*.f64 x 1/116) 4/29))) (cbrt.f64 (+.f64 (*.f64 x 1/116) 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 1/116) (sqrt.f64 (+.f64 x 16)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 (*.f64 x 1/116) 4/29) 1/4) (pow.f64 (+.f64 (*.f64 x 1/116) 4/29) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x 16)) (sqrt.f64 1/116))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 x 1/116) 4/29)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 (*.f64 x 1/116) 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 (*.f64 x 1/116) 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 x 1/116) 4/29)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 (*.f64 x 1/116) 4/29)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (*.f64 x 1/116) 4/29) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (*.f64 x 1/116) 4/29)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (*.f64 x 1/116) 4/29) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 (*.f64 x 1/116) 4/29))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (*.f64 x 1/116) 4/29) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (+.f64 (*.f64 x 1/116) 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (+.f64 (*.f64 x 1/116) 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 (*.f64 x 1/116) 4/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (*.f64 x 1/116) 4/29) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x 1/116) 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 x 1/116) 4/29)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x 1/116) 4/29))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 (*.f64 x 1/116) 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 (*.f64 x 1/116) 4/29))))))))

simplify28.0ms (2.8%)

Algorithm
1×egg-herbie
Rules
1049×fma-def_binary64
599×associate-*l*_binary64
499×associate-*r*_binary64
411×associate-+l+_binary64
326×associate-+r+_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
050329
1129157
2362147
31570129
Stop Event
1×node limit
Counts
102 → 80
Calls
Call 1
Inputs
(*.f64 16 (pow.f64 (sqrt.f64 1/116) 2))
(+.f64 (*.f64 (pow.f64 (sqrt.f64 1/116) 2) x) (*.f64 16 (pow.f64 (sqrt.f64 1/116) 2)))
(+.f64 (*.f64 (pow.f64 (sqrt.f64 1/116) 2) x) (+.f64 (*.f64 (+.f64 (*.f64 -1/64 (pow.f64 (sqrt.f64 1/116) 2)) (*.f64 1/64 (pow.f64 (sqrt.f64 1/116) 2))) (pow.f64 x 2)) (*.f64 16 (pow.f64 (sqrt.f64 1/116) 2))))
(+.f64 (*.f64 (pow.f64 (sqrt.f64 1/116) 2) x) (+.f64 (*.f64 (+.f64 (*.f64 -1/64 (pow.f64 (sqrt.f64 1/116) 2)) (*.f64 1/64 (pow.f64 (sqrt.f64 1/116) 2))) (pow.f64 x 2)) (+.f64 (*.f64 16 (pow.f64 (sqrt.f64 1/116) 2)) (*.f64 (+.f64 (*.f64 -1/2048 (pow.f64 (sqrt.f64 1/116) 2)) (*.f64 1/2048 (pow.f64 (sqrt.f64 1/116) 2))) (pow.f64 x 3)))))
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 (sqrt.f64 1/116))
(+.f64 (*.f64 4 (sqrt.f64 1/116)) (*.f64 1/8 (*.f64 (sqrt.f64 1/116) x)))
(+.f64 (*.f64 4 (sqrt.f64 1/116)) (+.f64 (*.f64 1/8 (*.f64 (sqrt.f64 1/116) x)) (*.f64 -1/512 (*.f64 (sqrt.f64 1/116) (pow.f64 x 2)))))
(+.f64 (*.f64 4 (sqrt.f64 1/116)) (+.f64 (*.f64 1/8 (*.f64 (sqrt.f64 1/116) x)) (+.f64 (*.f64 1/16384 (*.f64 (sqrt.f64 1/116) (pow.f64 x 3))) (*.f64 -1/512 (*.f64 (sqrt.f64 1/116) (pow.f64 x 2))))))
Outputs
(*.f64 16 (pow.f64 (sqrt.f64 1/116) 2))
4/29
(+.f64 (*.f64 (pow.f64 (sqrt.f64 1/116) 2) x) (*.f64 16 (pow.f64 (sqrt.f64 1/116) 2)))
(fma.f64 (pow.f64 (sqrt.f64 1/116) 2) x (*.f64 16 (pow.f64 (sqrt.f64 1/116) 2)))
(fma.f64 1/116 x 4/29)
(+.f64 (*.f64 (pow.f64 (sqrt.f64 1/116) 2) x) (+.f64 (*.f64 (+.f64 (*.f64 -1/64 (pow.f64 (sqrt.f64 1/116) 2)) (*.f64 1/64 (pow.f64 (sqrt.f64 1/116) 2))) (pow.f64 x 2)) (*.f64 16 (pow.f64 (sqrt.f64 1/116) 2))))
(fma.f64 (pow.f64 (sqrt.f64 1/116) 2) x (*.f64 16 (pow.f64 (sqrt.f64 1/116) 2)))
(fma.f64 1/116 x 4/29)
(+.f64 (*.f64 (pow.f64 (sqrt.f64 1/116) 2) x) (+.f64 (*.f64 (+.f64 (*.f64 -1/64 (pow.f64 (sqrt.f64 1/116) 2)) (*.f64 1/64 (pow.f64 (sqrt.f64 1/116) 2))) (pow.f64 x 2)) (+.f64 (*.f64 16 (pow.f64 (sqrt.f64 1/116) 2)) (*.f64 (+.f64 (*.f64 -1/2048 (pow.f64 (sqrt.f64 1/116) 2)) (*.f64 1/2048 (pow.f64 (sqrt.f64 1/116) 2))) (pow.f64 x 3)))))
(fma.f64 (pow.f64 (sqrt.f64 1/116) 2) x (*.f64 16 (pow.f64 (sqrt.f64 1/116) 2)))
(fma.f64 1/116 x 4/29)
4/29
(*.f64 16 (pow.f64 (sqrt.f64 1/116) 2))
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 (pow.f64 (sqrt.f64 1/116) 2) x (*.f64 16 (pow.f64 (sqrt.f64 1/116) 2)))
(fma.f64 1/116 x 4/29)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 (pow.f64 (sqrt.f64 1/116) 2) x (*.f64 16 (pow.f64 (sqrt.f64 1/116) 2)))
(fma.f64 1/116 x 4/29)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 (pow.f64 (sqrt.f64 1/116) 2) x (*.f64 16 (pow.f64 (sqrt.f64 1/116) 2)))
(fma.f64 1/116 x 4/29)
(*.f64 1/116 x)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 (pow.f64 (sqrt.f64 1/116) 2) x (*.f64 16 (pow.f64 (sqrt.f64 1/116) 2)))
(fma.f64 1/116 x 4/29)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 (pow.f64 (sqrt.f64 1/116) 2) x (*.f64 16 (pow.f64 (sqrt.f64 1/116) 2)))
(fma.f64 1/116 x 4/29)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 (pow.f64 (sqrt.f64 1/116) 2) x (*.f64 16 (pow.f64 (sqrt.f64 1/116) 2)))
(fma.f64 1/116 x 4/29)
(*.f64 1/116 x)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 (pow.f64 (sqrt.f64 1/116) 2) x (*.f64 16 (pow.f64 (sqrt.f64 1/116) 2)))
(fma.f64 1/116 x 4/29)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 (pow.f64 (sqrt.f64 1/116) 2) x (*.f64 16 (pow.f64 (sqrt.f64 1/116) 2)))
(fma.f64 1/116 x 4/29)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 (pow.f64 (sqrt.f64 1/116) 2) x (*.f64 16 (pow.f64 (sqrt.f64 1/116) 2)))
(fma.f64 1/116 x 4/29)
(*.f64 4 (sqrt.f64 1/116))
(*.f64 (sqrt.f64 1/116) 4)
(+.f64 (*.f64 4 (sqrt.f64 1/116)) (*.f64 1/8 (*.f64 (sqrt.f64 1/116) x)))
(fma.f64 4 (sqrt.f64 1/116) (*.f64 1/8 (*.f64 (sqrt.f64 1/116) x)))
(fma.f64 (sqrt.f64 1/116) 4 (*.f64 (sqrt.f64 1/116) (*.f64 x 1/8)))
(*.f64 (sqrt.f64 1/116) (+.f64 4 (*.f64 x 1/8)))
(*.f64 (sqrt.f64 1/116) (fma.f64 x 1/8 4))
(+.f64 (*.f64 4 (sqrt.f64 1/116)) (+.f64 (*.f64 1/8 (*.f64 (sqrt.f64 1/116) x)) (*.f64 -1/512 (*.f64 (sqrt.f64 1/116) (pow.f64 x 2)))))
(fma.f64 4 (sqrt.f64 1/116) (fma.f64 1/8 (*.f64 (sqrt.f64 1/116) x) (*.f64 -1/512 (*.f64 (sqrt.f64 1/116) (*.f64 x x)))))
(fma.f64 (sqrt.f64 1/116) 4 (fma.f64 1/8 (*.f64 (sqrt.f64 1/116) x) (*.f64 (sqrt.f64 1/116) (*.f64 (*.f64 x x) -1/512))))
(fma.f64 (sqrt.f64 1/116) 4 (*.f64 (sqrt.f64 1/116) (+.f64 (*.f64 x 1/8) (*.f64 x (*.f64 x -1/512)))))
(*.f64 (sqrt.f64 1/116) (+.f64 4 (*.f64 x (+.f64 1/8 (*.f64 -1/512 x)))))
(+.f64 (*.f64 4 (sqrt.f64 1/116)) (+.f64 (*.f64 1/8 (*.f64 (sqrt.f64 1/116) x)) (+.f64 (*.f64 1/16384 (*.f64 (sqrt.f64 1/116) (pow.f64 x 3))) (*.f64 -1/512 (*.f64 (sqrt.f64 1/116) (pow.f64 x 2))))))
(fma.f64 4 (sqrt.f64 1/116) (fma.f64 1/8 (*.f64 (sqrt.f64 1/116) x) (fma.f64 1/16384 (*.f64 (sqrt.f64 1/116) (pow.f64 x 3)) (*.f64 -1/512 (*.f64 (sqrt.f64 1/116) (*.f64 x x))))))
(fma.f64 (sqrt.f64 1/116) 4 (fma.f64 1/8 (*.f64 (sqrt.f64 1/116) x) (fma.f64 -1/512 (*.f64 (sqrt.f64 1/116) (*.f64 x x)) (*.f64 (sqrt.f64 1/116) (*.f64 (pow.f64 x 3) 1/16384)))))
(+.f64 (*.f64 (sqrt.f64 1/116) (+.f64 (*.f64 x (*.f64 x -1/512)) (*.f64 (pow.f64 x 3) 1/16384))) (*.f64 (sqrt.f64 1/116) (+.f64 4 (*.f64 x 1/8))))
(*.f64 (sqrt.f64 1/116) (+.f64 (*.f64 (*.f64 x x) (+.f64 -1/512 (*.f64 x 1/16384))) (fma.f64 x 1/8 4)))

prune52.0ms (5.2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New80080
Fresh000
Picked011
Done011
Total80282
Error
0b
Counts
82 → 2
Alt Table
StatusErrorProgram
✓14.4b
(pow.f64 (sqrt.f64 (*.f64 (+.f64 x 16) 1/116)) 2)
✓0.0b
(/.f64 (+.f64 x 16) 116)
Compiler

Compiled 982 to 862 computations (12.2% saved)

regimes17.0ms (1.7%)

Accuracy

Total 0.0b remaining (11.1%)

Threshold costs 0.0b (11.1%)

Counts
8 → 1
Compiler

Compiled 61 to 50 computations (18% saved)

simplify2.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
067
177
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 (+.f64 x 16) 116)
Outputs
(/.f64 (+.f64 x 16) 116)

end46.0ms (4.6%)

Stop Event
1×done
Compiler

Compiled 27 to 23 computations (14.8% saved)

Profiling

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