Details

Time bar (total: 5.1s)

analyze5.0ms (0.1%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
25%50%25%3
37.5%25%37.5%4
43.7%12.5%43.8%5
46.9%6.2%46.9%6
48.4%3.1%48.5%7
49.2%1.6%49.2%8
49.6%0.8%49.6%9
49.8%0.4%49.8%10
49.9%0.2%49.9%11
49.9%0.1%50%12
Compiler

Compiled 16 to 13 computations (18.8% saved)

sample1.3s (25.9%)

Results
1.3s8256×body256valid
1.0ms9×body256invalid

preprocess89.0ms (1.7%)

Algorithm
2×egg-herbie
Rules
688×times-frac_binary64
636×fma-def_binary64
499×fma-neg_binary64
443×associate-/r*_binary64
333×associate-/l*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01221
12519
24617
37017
48717
510717
615017
724717
840317
968217
10115017
11163117
12209117
13325717
14614417
011
Stop Event
1×saturated
1×node limit
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(/.f64 (*.f64 6 (-.f64 x 1)) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))
Outputs
(/.f64 (*.f64 6 (-.f64 x 1)) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))
(/.f64 6 (/.f64 (+.f64 x (+.f64 1 (*.f64 4 (sqrt.f64 x)))) (+.f64 x -1)))
(*.f64 (/.f64 6 (fma.f64 4 (sqrt.f64 x) (+.f64 x 1))) (+.f64 x -1))
(/.f64 (fma.f64 6 x -6) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))
(/.f64 (fma.f64 6 x -6) (fma.f64 4 (sqrt.f64 x) (+.f64 x 1)))
(/.f64 (fma.f64 6 x -6) (fma.f64 4 (sqrt.f64 x) (-.f64 x -1)))
(/.f64 (fma.f64 x -6 6) (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x)))
Compiler

Compiled 16 to 13 computations (18.8% saved)

simplify85.0ms (1.7%)

Algorithm
1×egg-herbie
Rules
688×times-frac_binary64
636×fma-def_binary64
499×fma-neg_binary64
443×associate-/r*_binary64
333×associate-/l*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01221
12519
24617
37017
48717
510717
615017
724717
840317
968217
10115017
11163117
12209117
13325717
14614417
Stop Event
1×node limit
Counts
1 → 2
Calls
Call 1
Inputs
(/.f64 (*.f64 6 (-.f64 x 1)) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))
Outputs
(/.f64 (*.f64 6 (-.f64 x 1)) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))
(/.f64 6 (/.f64 (+.f64 x (+.f64 1 (*.f64 4 (sqrt.f64 x)))) (+.f64 x -1)))
(*.f64 (/.f64 6 (fma.f64 4 (sqrt.f64 x) (+.f64 x 1))) (+.f64 x -1))
(/.f64 (fma.f64 6 x -6) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))
(/.f64 (fma.f64 6 x -6) (fma.f64 4 (sqrt.f64 x) (+.f64 x 1)))
(/.f64 (fma.f64 6 x -6) (fma.f64 4 (sqrt.f64 x) (-.f64 x -1)))
(/.f64 (fma.f64 x -6 6) (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x)))

eval1.0ms (0%)

Compiler

Compiled 27 to 20 computations (25.9% saved)

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
0.1b
Counts
3 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.1b
(/.f64 (fma.f64 x -6 6) (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x)))
▶0.1b
(/.f64 (*.f64 6 (-.f64 x 1)) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))
Compiler

Compiled 28 to 22 computations (21.4% saved)

localize17.0ms (0.3%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x)))
✓0.1b
(/.f64 (*.f64 6 (-.f64 x 1)) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))
Compiler

Compiled 44 to 30 computations (31.8% saved)

series5.0ms (0.1%)

Counts
2 → 6
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(/.f64 (*.f64 6 (-.f64 x 1)) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))
1.0ms
x
@0
(/.f64 (*.f64 6 (-.f64 x 1)) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))
1.0ms
x
@inf
(/.f64 (*.f64 6 (-.f64 x 1)) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))
1.0ms
x
@inf
(+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x)))
0.0ms
x
@-inf
(+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x)))

rewrite78.0ms (1.5%)

Algorithm
1×batch-egg-rewrite
Rules
620×log-prod_binary64
451×fma-def_binary64
329×pow2_binary64
270×fma-neg_binary64
227×pow1/3_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01233
127229
2379527
Stop Event
1×node limit
Counts
2 → 137
Calls
Call 1
Inputs
(/.f64 (*.f64 6 (-.f64 x 1)) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))
(+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (fma.f64 6 x -6) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 6 x -6) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 6 x -6) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 6 x -6) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 6 x -6) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 6 x -6) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 6 (/.f64 (+.f64 x -1) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 6 (/.f64 1 (/.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) 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((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 6 x -6)) 2) (*.f64 (cbrt.f64 (fma.f64 6 x -6)) (/.f64 1 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (fma.f64 6 x -6) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))) (sqrt.f64 (/.f64 (fma.f64 6 x -6) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 6 x -6)) (*.f64 (sqrt.f64 (fma.f64 6 x -6)) (/.f64 1 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 x -1) -6) (/.f64 1 (neg.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) (fma.f64 6 x -6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x -1) 1) (/.f64 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) (+.f64 x -1))))) (#(struct:change #<rule egg-rr> 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (-.f64 x -1) 2) (+.f64 (-.f64 x -1) (*.f64 -4 (sqrt.f64 x)))) (/.f64 (*.f64 x 16) (+.f64 (-.f64 x -1) (*.f64 -4 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) (cbrt.f64 (pow.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) 2)) (cbrt.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) (sqrt.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 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((x /.f64 (-.f64 (*.f64 x 16) (pow.f64 (-.f64 x -1) 2)) (-.f64 (*.f64 4 (sqrt.f64 x)) (-.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (*.f64 4 (sqrt.f64 x)) (-.f64 (*.f64 4 (sqrt.f64 x)) (-.f64 x -1)) (pow.f64 (-.f64 x -1) 2)) (fma.f64 64 (pow.f64 x 3/2) (pow.f64 (-.f64 x -1) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (-.f64 x -1) (*.f64 -4 (sqrt.f64 x))) (-.f64 (pow.f64 (-.f64 x -1) 2) (*.f64 x 16))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (fma.f64 4 (sqrt.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (-.f64 x -1))) (pow.f64 (exp.f64 4) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (-.f64 x -1)) (+.f64 1 (expm1.f64 (*.f64 4 (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (-.f64 x -1))) (+.f64 1 (expm1.f64 (*.f64 4 (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 4 (sqrt.f64 x)))) (exp.f64 (-.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 4) (sqrt.f64 x)) (+.f64 1 (expm1.f64 (-.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 4 (sqrt.f64 x)))) (+.f64 1 (expm1.f64 (-.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (fma.f64 4 (sqrt.f64 x) 1)) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (fma.f64 4 (sqrt.f64 x) 1)) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (+.f64 x (*.f64 4 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (+.f64 x (*.f64 4 (sqrt.f64 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (fma.f64 4 (sqrt.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (*.f64 (fma.f64 4 (sqrt.f64 x) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (fma.f64 4 (sqrt.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 (fma.f64 4 (sqrt.f64 x) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (-.f64 x -1) (*.f64 4 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 4 (sqrt.f64 x)) (-.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 4 (sqrt.f64 x) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 x -1) 1 (*.f64 4 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 4 (sqrt.f64 x) (-.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) 4 (-.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (fma.f64 4 (sqrt.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (fma.f64 4 (sqrt.f64 x) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 4 (sqrt.f64 x)) 1 (-.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (fma.f64 4 (sqrt.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 (fma.f64 4 (sqrt.f64 x) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (sqrt.f64 x)) (sqrt.f64 x)) (fma.f64 4 (sqrt.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (sqrt.f64 x)) (sqrt.f64 x)) (*.f64 (fma.f64 4 (sqrt.f64 x) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (sqrt.f64 x)) 4) (-.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (fma.f64 4 (sqrt.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 (fma.f64 4 (sqrt.f64 x) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1) (fma.f64 4 (sqrt.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1) (*.f64 (fma.f64 4 (sqrt.f64 x) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 4 (sqrt.f64 x))) (cbrt.f64 (*.f64 x 16)) (-.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x 16)) (cbrt.f64 (*.f64 4 (sqrt.f64 x))) (-.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (-.f64 x -1)) (pow.f64 (cbrt.f64 (-.f64 x -1)) 2) (*.f64 4 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 x -1)) 2) (cbrt.f64 (-.f64 x -1)) (*.f64 4 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 1/4) (*.f64 (pow.f64 x 1/4) (sqrt.f64 x)) (fma.f64 4 (sqrt.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 1/4) (*.f64 (pow.f64 x 1/4) (sqrt.f64 x)) (*.f64 (fma.f64 4 (sqrt.f64 x) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 1/4) (*.f64 (pow.f64 x 1/4) 4) (-.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2 (pow.f64 x 1/4)) (*.f64 2 (pow.f64 x 1/4)) (-.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 (-.f64 x -1)) (*.f64 4 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (pow.f64 x 3)) (/.f64 1 (-.f64 (fma.f64 x x 1) x)) (*.f64 4 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 x x -1) (/.f64 1 (+.f64 x -1)) (*.f64 4 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (pow.f64 x 1/4) 3) (pow.f64 x 1/4) (fma.f64 4 (sqrt.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (pow.f64 x 1/4) 3) (pow.f64 x 1/4) (*.f64 (fma.f64 4 (sqrt.f64 x) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 4 (sqrt.f64 x) 1)) 2) (cbrt.f64 (fma.f64 4 (sqrt.f64 x) 1)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 4 (sqrt.f64 x) 1)) (sqrt.f64 (fma.f64 4 (sqrt.f64 x) 1)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (fma.f64 x x -1) (fma.f64 x x -1)) (-.f64 x -1) (*.f64 4 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (fma.f64 x x -1) (+.f64 (pow.f64 x 3) -1)) (+.f64 (fma.f64 x x 1) x) (*.f64 4 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 x) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)) (fma.f64 4 (sqrt.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 x) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)) (*.f64 (fma.f64 4 (sqrt.f64 x) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 4 (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)) (-.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 4 (pow.f64 x 1/4)) (pow.f64 x 1/4) (-.f64 x -1))))))

simplify9.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
1×1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046
176
Stop Event
1×saturated
Counts
143 → 141
Calls
Call 1
Inputs
-6
6
6
1
x
x
Outputs
-6
6
6
1
x
x

localize16.0ms (0.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(fma.f64 4 (sqrt.f64 x) x)
✓0.1b
(fma.f64 x -6 6)
✓0.1b
(/.f64 (fma.f64 x -6 6) (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x)))
Compiler

Compiled 36 to 23 computations (36.1% saved)

series6.0ms (0.1%)

Counts
3 → 17
Calls

9 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
(/.f64 (fma.f64 x -6 6) (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x)))
1.0ms
x
@0
(/.f64 (fma.f64 x -6 6) (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x)))
1.0ms
x
@inf
(/.f64 (fma.f64 x -6 6) (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x)))
1.0ms
x
@0
(fma.f64 4 (sqrt.f64 x) x)
0.0ms
x
@-inf
(fma.f64 x -6 6)

rewrite81.0ms (1.6%)

Algorithm
1×batch-egg-rewrite
Rules
464×log-prod_binary64
366×exp-prod_binary64
284×pow2_binary64
254×pow-prod-down_binary64
197×pow1/3_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01129
123729
2286329
Stop Event
1×node limit
Counts
3 → 124
Calls
Call 1
Inputs
(/.f64 (fma.f64 x -6 6) (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x)))
(fma.f64 x -6 6)
(fma.f64 4 (sqrt.f64 x) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (fma.f64 x -6 6) (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 x -6 6) (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 x -6 6) (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 x -6 6) (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 x -6 6) (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 x -6 6) (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x -6 6) (/.f64 1 (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 x -6 6) (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fma.f64 x -6 6) (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (fma.f64 x -6 6) (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x)))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x -6 6) (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x -6 6) (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x)))) 2) (cbrt.f64 (/.f64 (fma.f64 x -6 6) (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x -6 6)) 2) (*.f64 (cbrt.f64 (fma.f64 x -6 6)) (/.f64 1 (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (fma.f64 x -6 6) (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x)))) (sqrt.f64 (/.f64 (fma.f64 x -6 6) (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x -6 6)) (*.f64 (sqrt.f64 (fma.f64 x -6 6)) (/.f64 1 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 6 (*.f64 x -6))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x -6) 6)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 x -6 6))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x -6) 1) 6)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x -6 6))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x -6 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x -6 6)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x -6 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x -6 6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x -6 6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x -6 6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x -6 6)) (pow.f64 (cbrt.f64 (fma.f64 x -6 6)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x -6 6)) 2) (cbrt.f64 (fma.f64 x -6 6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x -6 6)) (sqrt.f64 (fma.f64 x -6 6)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x -6) 3) 216) (+.f64 (pow.f64 (*.f64 x -6) 2) (-.f64 36 (*.f64 (*.f64 x -6) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 x -6) 2) 36) (fma.f64 x -6 -6))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x -6 6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x -6 6) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x -6 6) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x -6 6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x -6 6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (fma.f64 x -6 6)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x -6 6))) 2)) (cbrt.f64 (log.f64 (fma.f64 x -6 6))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 x -6 6)))) (sqrt.f64 (log.f64 (fma.f64 x -6 6))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x -6 6) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x -6 6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x -6 6))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x -6 6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x -6 6)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x -6 6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x -6 6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x -6 6)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 x -6 6))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x -6 6))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x -6 6))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 x -6 6)) 1) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 4 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 4 (sqrt.f64 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 4 (sqrt.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 4 (sqrt.f64 x)) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 4 (sqrt.f64 x) x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 4 (sqrt.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 4 (sqrt.f64 x) x)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 4 (sqrt.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 4 (sqrt.f64 x) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (+.f64 4 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 4 (sqrt.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 4 (sqrt.f64 x) x)) (cbrt.f64 (pow.f64 (fma.f64 4 (sqrt.f64 x) x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 4 (sqrt.f64 x) x) 2)) (cbrt.f64 (fma.f64 4 (sqrt.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 4 (sqrt.f64 x) x)) (sqrt.f64 (fma.f64 4 (sqrt.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 4 (sqrt.f64 x)) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (*.f64 4 (sqrt.f64 x)) 2) (-.f64 (*.f64 x x) (*.f64 (*.f64 4 (sqrt.f64 x)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 4 (sqrt.f64 x)) 2) (*.f64 x x)) (fma.f64 4 (sqrt.f64 x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 4 (sqrt.f64 x) x) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 4 (sqrt.f64 x) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 4 (sqrt.f64 x) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 4 (sqrt.f64 x) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (fma.f64 4 (sqrt.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 4 (sqrt.f64 x) x))) 2)) (cbrt.f64 (log.f64 (fma.f64 4 (sqrt.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 4 (sqrt.f64 x) x)))) (sqrt.f64 (log.f64 (fma.f64 4 (sqrt.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 4 (sqrt.f64 x) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 4 (sqrt.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 4 (sqrt.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (pow.f64 (exp.f64 (sqrt.f64 x)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) 4) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 4 (sqrt.f64 x) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 4 (sqrt.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 4 (sqrt.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 4 (sqrt.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 4 (sqrt.f64 x) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 4 (sqrt.f64 x) x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 4 (sqrt.f64 x) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 4 (sqrt.f64 x) x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 4 (sqrt.f64 x) x)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 4 (sqrt.f64 x) x)) 3) 1/3))))))

simplify11.0ms (0.2%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
0677
1859
21059
Stop Event
1×saturated
Counts
141 → 130
Calls
Call 1
Inputs
-6
6
6
6
(+.f64 6 (*.f64 -6 x))
(+.f64 6 (*.f64 -6 x))
(+.f64 6 (*.f64 -6 x))
(*.f64 -6 x)
(+.f64 6 (*.f64 -6 x))
(+.f64 6 (*.f64 -6 x))
(+.f64 6 (*.f64 -6 x))
(*.f64 -6 x)
(+.f64 6 (*.f64 -6 x))
(+.f64 6 (*.f64 -6 x))
(+.f64 6 (*.f64 -6 x))
x
x
Outputs
-6
6
6
6
(+.f64 6 (*.f64 -6 x))
(fma.f64 -6 x 6)
(+.f64 6 (*.f64 -6 x))
(fma.f64 -6 x 6)
(+.f64 6 (*.f64 -6 x))
(fma.f64 -6 x 6)
(*.f64 -6 x)
(+.f64 6 (*.f64 -6 x))
(fma.f64 -6 x 6)
(+.f64 6 (*.f64 -6 x))
(fma.f64 -6 x 6)
(+.f64 6 (*.f64 -6 x))
(fma.f64 -6 x 6)
(*.f64 -6 x)
(+.f64 6 (*.f64 -6 x))
(fma.f64 -6 x 6)
(+.f64 6 (*.f64 -6 x))
(fma.f64 -6 x 6)
(+.f64 6 (*.f64 -6 x))
(fma.f64 -6 x 6)
x
x

eval112.0ms (2.2%)

Compiler

Compiled 5095 to 3715 computations (27.1% saved)

prune41.0ms (0.8%)

Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New26110271
Fresh000
Picked101
Done011
Total26211273
Error
0b
Counts
273 → 11
Alt Table
Click to see full alt table
StatusErrorProgram
0.3b
(/.f64 (fma.f64 x -6 6) (-.f64 -1 (*.f64 (sqrt.f64 x) (+.f64 4 (sqrt.f64 x)))))
✓0.1b
(/.f64 (*.f64 6 (-.f64 x 1)) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))
▶3.0b
(/.f64 (fma.f64 x -6 6) (-.f64 -1 x))
▶15.6b
(*.f64 (/.f64 (fma.f64 6 x -6) (-.f64 (pow.f64 (-.f64 x -1) 2) (*.f64 x 16))) (+.f64 (-.f64 x -1) (*.f64 -4 (sqrt.f64 x))))
33.2b
-6
▶0.2b
(*.f64 (+.f64 x -1) (*.f64 6 (/.f64 1 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))
▶0.0b
(*.f64 6 (/.f64 (+.f64 x -1) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))
0.1b
(*.f64 (/.f64 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) (+.f64 x -1))
31.6b
(/.f64 (*.f64 6 (-.f64 x 1)) x)
▶31.9b
(/.f64 (*.f64 6 (-.f64 x 1)) 1)
32.7b
6
Compiler

Compiled 235 to 186 computations (20.9% saved)

localize19.0ms (0.4%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(fma.f64 4 (sqrt.f64 x) x)
✓0.0b
(*.f64 6 (/.f64 (+.f64 x -1) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))
✓0.0b
(/.f64 (+.f64 x -1) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))
Compiler

Compiled 47 to 30 computations (36.2% saved)

series4.0ms (0.1%)

Counts
2 → 6
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(/.f64 (+.f64 x -1) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))
1.0ms
x
@0
(/.f64 (+.f64 x -1) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))
1.0ms
x
@inf
(/.f64 (+.f64 x -1) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))
0.0ms
x
@-inf
(*.f64 6 (/.f64 (+.f64 x -1) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))
0.0ms
x
@0
(*.f64 6 (/.f64 (+.f64 x -1) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))

rewrite77.0ms (1.5%)

Algorithm
1×batch-egg-rewrite
Rules
540×log-prod_binary64
323×pow-prod-down_binary64
314×pow2_binary64
246×prod-diff_binary64
220×fma-def_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01235
126035
2329433
Stop Event
1×node limit
Counts
2 → 68
Calls
Call 1
Inputs
(/.f64 (+.f64 x -1) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))
(*.f64 6 (/.f64 (+.f64 x -1) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (+.f64 x -1) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 x -1) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 x -1) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 x -1) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 x -1) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x -1) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x -1) (/.f64 1 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 x -1) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x -1) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 x -1) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x -1) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x -1) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))) 2) (cbrt.f64 (/.f64 (+.f64 x -1) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2) (*.f64 (cbrt.f64 (+.f64 x -1)) (/.f64 1 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))) (sqrt.f64 (/.f64 (+.f64 x -1) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x -1)) (*.f64 (sqrt.f64 (+.f64 x -1)) (/.f64 1 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (+.f64 x -1)) (/.f64 1 (+.f64 -1 (neg.f64 (fma.f64 4 (sqrt.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2) 1) (/.f64 (cbrt.f64 (+.f64 x -1)) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 x -1)) 1) (/.f64 (sqrt.f64 (+.f64 x -1)) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) -2) (/.f64 (+.f64 x -1) (cbrt.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2) (pow.f64 (cbrt.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) 2)) (cbrt.f64 (/.f64 (+.f64 x -1) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 x -1)) (pow.f64 (cbrt.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) 2)) (/.f64 (sqrt.f64 (+.f64 x -1)) (cbrt.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) -1/2) (/.f64 (+.f64 x -1) (sqrt.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2) (sqrt.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))) (/.f64 (cbrt.f64 (+.f64 x -1)) (sqrt.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x -1) (+.f64 1 (pow.f64 (fma.f64 4 (sqrt.f64 x) x) 3))) (+.f64 (pow.f64 (fma.f64 4 (sqrt.f64 x) x) 2) (-.f64 1 (fma.f64 4 (sqrt.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x -1) (+.f64 (pow.f64 (fma.f64 4 (sqrt.f64 x) x) 2) -1)) (+.f64 (fma.f64 4 (sqrt.f64 x) x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x -1) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 x -1) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 x -1) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 x -1) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) (+.f64 x -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (+.f64 x -1) 3) (pow.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) (+.f64 x -1)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 x -1) (+.f64 -1 (neg.f64 (fma.f64 4 (sqrt.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 x -1) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 x -1) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 x -1) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 x -1) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 x -1) 3) (pow.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 x -1) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 x -1) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (+.f64 x -1)) (log1p.f64 (fma.f64 4 (sqrt.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log.f64 (+.f64 x -1)) (log1p.f64 (fma.f64 4 (sqrt.f64 x) x))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (fma.f64 x 6 -6) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 x 6 -6) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 x 6 -6) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 x 6 -6) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 x 6 -6) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 x 6 -6) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) (fma.f64 x 6 -6)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 6 (/.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x 6 -6) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 x 6 -6)) (+.f64 -1 (neg.f64 (fma.f64 4 (sqrt.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (fma.f64 x 6 -6) 1) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (fma.f64 x 6 -6) (pow.f64 (cbrt.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) 2)) (cbrt.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (fma.f64 x 6 -6) (sqrt.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))) (sqrt.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (+.f64 x -1)) 6) (+.f64 -1 (neg.f64 (fma.f64 4 (sqrt.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 6 (neg.f64 (+.f64 x -1))) (+.f64 -1 (neg.f64 (fma.f64 4 (sqrt.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 x 6 -6) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 x 6 -6) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 x 6 -6) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (fma.f64 x 6 -6) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (fma.f64 x 6 -6) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) (fma.f64 x 6 -6)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (fma.f64 x 6 -6) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (fma.f64 x 6 -6) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 x 6 -6) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fma.f64 x 6 -6) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 x 6 -6) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 x 6 -6) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (fma.f64 x 6 -6)) (log1p.f64 (fma.f64 4 (sqrt.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log.f64 (fma.f64 x 6 -6)) (log1p.f64 (fma.f64 4 (sqrt.f64 x) x))) 1))))))

simplify9.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
1×1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046
176
Stop Event
1×saturated
Counts
74 → 72
Calls
Call 1
Inputs
-1
1
1
-6
6
6
Outputs
-1
1
1
-6
6
6

localize8.0ms (0.2%)

Compiler

Compiled 19 to 15 computations (21.1% saved)

localize10.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.1b
(fma.f64 x -6 6)
✓0.1b
(/.f64 (fma.f64 x -6 6) (-.f64 -1 x))
Compiler

Compiled 20 to 15 computations (25% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@0
(/.f64 (fma.f64 x -6 6) (-.f64 -1 x))
0.0ms
x
@inf
(/.f64 (fma.f64 x -6 6) (-.f64 -1 x))
0.0ms
x
@-inf
(/.f64 (fma.f64 x -6 6) (-.f64 -1 x))

rewrite61.0ms (1.2%)

Algorithm
1×batch-egg-rewrite
Rules
904×pow1_binary64
846×add-log-exp_binary64
846×log1p-expm1-u_binary64
846×expm1-log1p-u_binary64
833×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0811
117411
2218611
Stop Event
1×node limit
Counts
1 → 33
Calls
Call 1
Inputs
(/.f64 (fma.f64 x -6 6) (-.f64 -1 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (fma.f64 x -6 6) (-.f64 -1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x -6 6) (/.f64 1 (-.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 x -6 6) (-.f64 -1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fma.f64 x -6 6) (-.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (fma.f64 x -6 6) (-.f64 -1 x))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x -6 6) (-.f64 -1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x -6 6) (-.f64 -1 x))) 2) (cbrt.f64 (/.f64 (fma.f64 x -6 6) (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x -6 6)) 2) (*.f64 (cbrt.f64 (fma.f64 x -6 6)) (/.f64 1 (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (fma.f64 x -6 6) (-.f64 -1 x))) (sqrt.f64 (/.f64 (fma.f64 x -6 6) (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x -6 6)) (*.f64 (sqrt.f64 (fma.f64 x -6 6)) (/.f64 1 (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (fma.f64 x -6 6)) (/.f64 1 (neg.f64 (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 -1 x)) (fma.f64 x -6 6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x -6 6)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 x -6 6)) (-.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 x -6 6)) 1) (/.f64 (sqrt.f64 (fma.f64 x -6 6)) (-.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2)) (/.f64 (fma.f64 x -6 6) (cbrt.f64 (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x -6 6)) 2) (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2)) (cbrt.f64 (/.f64 (fma.f64 x -6 6) (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 x -6 6)) (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2)) (/.f64 (sqrt.f64 (fma.f64 x -6 6)) (cbrt.f64 (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (-.f64 -1 x))) (/.f64 (fma.f64 x -6 6) (sqrt.f64 (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x -6 6)) 2) (sqrt.f64 (-.f64 -1 x))) (/.f64 (cbrt.f64 (fma.f64 x -6 6)) (sqrt.f64 (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 x -6 6) (-.f64 -1 (pow.f64 x 3))) (+.f64 1 (*.f64 x (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 x -6 6) (-.f64 1 (*.f64 x x))) (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 x -6 6) (-.f64 -1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 x -6 6) (-.f64 -1 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (fma.f64 x -6 6) (-.f64 -1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (fma.f64 x -6 6) (-.f64 -1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 -1 x) (fma.f64 x -6 6)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 x -6 6) (neg.f64 (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (fma.f64 x -6 6) (-.f64 -1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (fma.f64 x -6 6) (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fma.f64 x -6 6) (-.f64 -1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fma.f64 x -6 6) 3) (pow.f64 (-.f64 -1 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 x -6 6) (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 x -6 6) (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (fma.f64 x -6 6) (-.f64 -1 x))))))))

simplify55.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
543×associate-*l*_binary64
513×fma-neg_binary64
426×times-frac_binary64
396×associate-/r*_binary64
381×associate-*r*_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
031139
191136
2230134
3627129
41936124
57468124
Stop Event
1×node limit
Counts
45 → 47
Calls
Call 1
Inputs
-6
(-.f64 (*.f64 12 x) 6)
(-.f64 (+.f64 (*.f64 12 x) (*.f64 -12 (pow.f64 x 2))) 6)
(-.f64 (+.f64 (*.f64 12 x) (+.f64 (*.f64 12 (pow.f64 x 3)) (*.f64 -12 (pow.f64 x 2)))) 6)
6
(-.f64 6 (*.f64 12 (/.f64 1 x)))
(-.f64 (+.f64 6 (*.f64 12 (/.f64 1 (pow.f64 x 2)))) (*.f64 12 (/.f64 1 x)))
(-.f64 (+.f64 6 (*.f64 12 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 12 (/.f64 1 (pow.f64 x 3))) (*.f64 12 (/.f64 1 x))))
6
(-.f64 6 (*.f64 12 (/.f64 1 x)))
(-.f64 (+.f64 6 (*.f64 12 (/.f64 1 (pow.f64 x 2)))) (*.f64 12 (/.f64 1 x)))
(-.f64 (+.f64 6 (*.f64 12 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 12 (/.f64 1 (pow.f64 x 3))) (*.f64 12 (/.f64 1 x))))
Outputs
-6
(-.f64 (*.f64 12 x) 6)
(fma.f64 12 x -6)
(-.f64 (+.f64 (*.f64 12 x) (*.f64 -12 (pow.f64 x 2))) 6)
(+.f64 (fma.f64 12 x (*.f64 -12 (*.f64 x x))) -6)
(fma.f64 12 x (fma.f64 -12 (*.f64 x x) -6))
(fma.f64 12 x (fma.f64 x (*.f64 x -12) -6))
(fma.f64 x (fma.f64 x -12 12) -6)
(-.f64 (+.f64 (*.f64 12 x) (+.f64 (*.f64 12 (pow.f64 x 3)) (*.f64 -12 (pow.f64 x 2)))) 6)
(+.f64 (fma.f64 12 x (fma.f64 12 (pow.f64 x 3) (*.f64 -12 (*.f64 x x)))) -6)
(+.f64 (*.f64 12 (+.f64 x (pow.f64 x 3))) (fma.f64 -12 (*.f64 x x) -6))
(fma.f64 12 (+.f64 x (pow.f64 x 3)) (fma.f64 x (*.f64 x -12) -6))
(fma.f64 12 x (fma.f64 x (*.f64 x (fma.f64 12 x -12)) -6))
(fma.f64 x (+.f64 12 (*.f64 x (fma.f64 12 x -12))) -6)
6
(-.f64 6 (*.f64 12 (/.f64 1 x)))
(-.f64 6 (/.f64 12 x))
(+.f64 6 (/.f64 -12 x))
(-.f64 (+.f64 6 (*.f64 12 (/.f64 1 (pow.f64 x 2)))) (*.f64 12 (/.f64 1 x)))
(+.f64 6 (-.f64 (/.f64 12 (*.f64 x x)) (/.f64 12 x)))
(+.f64 6 (+.f64 (/.f64 12 (*.f64 x x)) (/.f64 -12 x)))
(+.f64 (+.f64 6 (/.f64 -12 x)) (/.f64 12 (*.f64 x x)))
(+.f64 6 (*.f64 (/.f64 1 x) (+.f64 (/.f64 12 x) -12)))
(-.f64 (+.f64 6 (*.f64 12 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 12 (/.f64 1 (pow.f64 x 3))) (*.f64 12 (/.f64 1 x))))
(+.f64 6 (-.f64 (/.f64 12 (*.f64 x x)) (+.f64 (/.f64 12 x) (/.f64 12 (pow.f64 x 3)))))
(+.f64 (/.f64 12 (*.f64 x x)) (+.f64 6 (-.f64 (/.f64 -12 x) (/.f64 12 (pow.f64 x 3)))))
(+.f64 (/.f64 12 (*.f64 x x)) (+.f64 6 (+.f64 (/.f64 -12 x) (/.f64 -12 (pow.f64 x 3)))))
(fma.f64 (/.f64 1 (*.f64 x x)) (+.f64 12 (/.f64 -12 x)) (+.f64 6 (/.f64 -12 x)))
6
(-.f64 6 (*.f64 12 (/.f64 1 x)))
(-.f64 6 (/.f64 12 x))
(+.f64 6 (/.f64 -12 x))
(-.f64 (+.f64 6 (*.f64 12 (/.f64 1 (pow.f64 x 2)))) (*.f64 12 (/.f64 1 x)))
(+.f64 6 (-.f64 (/.f64 12 (*.f64 x x)) (/.f64 12 x)))
(+.f64 6 (+.f64 (/.f64 12 (*.f64 x x)) (/.f64 -12 x)))
(+.f64 (+.f64 6 (/.f64 -12 x)) (/.f64 12 (*.f64 x x)))
(+.f64 6 (*.f64 (/.f64 1 x) (+.f64 (/.f64 12 x) -12)))
(-.f64 (+.f64 6 (*.f64 12 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 12 (/.f64 1 (pow.f64 x 3))) (*.f64 12 (/.f64 1 x))))
(+.f64 6 (-.f64 (/.f64 12 (*.f64 x x)) (+.f64 (/.f64 12 x) (/.f64 12 (pow.f64 x 3)))))
(+.f64 (/.f64 12 (*.f64 x x)) (+.f64 6 (-.f64 (/.f64 -12 x) (/.f64 12 (pow.f64 x 3)))))
(+.f64 (/.f64 12 (*.f64 x x)) (+.f64 6 (+.f64 (/.f64 -12 x) (/.f64 -12 (pow.f64 x 3)))))
(fma.f64 (/.f64 1 (*.f64 x x)) (+.f64 12 (/.f64 -12 x)) (+.f64 6 (/.f64 -12 x)))

localize26.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(fma.f64 4 (sqrt.f64 x) x)
✓0.0b
(/.f64 1 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))
✓0.1b
(*.f64 (+.f64 x -1) (*.f64 6 (/.f64 1 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))
✓0.2b
(*.f64 6 (/.f64 1 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))
Compiler

Compiled 58 to 39 computations (32.8% saved)

series10.0ms (0.2%)

Counts
3 → 9
Calls

9 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
(*.f64 (+.f64 x -1) (*.f64 6 (/.f64 1 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))
2.0ms
x
@-inf
(*.f64 6 (/.f64 1 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))
1.0ms
x
@0
(/.f64 1 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))
1.0ms
x
@inf
(/.f64 1 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))
1.0ms
x
@-inf
(/.f64 1 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))

rewrite80.0ms (1.6%)

Algorithm
1×batch-egg-rewrite
Rules
574×log-prod_binary64
379×pow-prod-down_binary64
330×pow2_binary64
237×prod-diff_binary64
229×pow1/3_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01345
128145
2342845
Stop Event
1×node limit
Counts
3 → 92
Calls
Call 1
Inputs
(*.f64 6 (/.f64 1 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))
(*.f64 (+.f64 x -1) (*.f64 6 (/.f64 1 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))
(/.f64 1 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 6 (fma.f64 4 (sqrt.f64 x) (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 6 (fma.f64 4 (sqrt.f64 x) (+.f64 x 1))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 6 (fma.f64 4 (sqrt.f64 x) (+.f64 x 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 6 (fma.f64 4 (sqrt.f64 x) (+.f64 x 1)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 6 (fma.f64 4 (sqrt.f64 x) (+.f64 x 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 6 (fma.f64 4 (sqrt.f64 x) (+.f64 x 1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 6 (fma.f64 4 (sqrt.f64 x) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 4 (sqrt.f64 x) (+.f64 x 1)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -6 (neg.f64 (fma.f64 4 (sqrt.f64 x) (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 6 (pow.f64 (cbrt.f64 (fma.f64 4 (sqrt.f64 x) (+.f64 x 1))) 2)) (cbrt.f64 (fma.f64 4 (sqrt.f64 x) (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 6 (sqrt.f64 (fma.f64 4 (sqrt.f64 x) (+.f64 x 1)))) (sqrt.f64 (fma.f64 4 (sqrt.f64 x) (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 6 (fma.f64 4 (sqrt.f64 x) (+.f64 x 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 36 (pow.f64 (fma.f64 4 (sqrt.f64 x) (+.f64 x 1)) -2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 6 (fma.f64 4 (sqrt.f64 x) (+.f64 x 1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 6 (fma.f64 4 (sqrt.f64 x) (+.f64 x 1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 6 (fma.f64 4 (sqrt.f64 x) (+.f64 x 1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 4 (sqrt.f64 x) (+.f64 x 1)) 6) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 36 (pow.f64 (fma.f64 4 (sqrt.f64 x) (+.f64 x 1)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 6 (fma.f64 4 (sqrt.f64 x) (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 6 (fma.f64 4 (sqrt.f64 x) (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 6 (fma.f64 4 (sqrt.f64 x) (+.f64 x 1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 6 (fma.f64 4 (sqrt.f64 x) (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 6 (fma.f64 4 (sqrt.f64 x) (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 6) (log1p.f64 (fma.f64 4 (sqrt.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log.f64 6) (log1p.f64 (fma.f64 4 (sqrt.f64 x) x))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (*.f64 6 (+.f64 x -1)) (fma.f64 4 (sqrt.f64 x) (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (/.f64 6 (fma.f64 4 (sqrt.f64 x) (+.f64 x 1)))) (*.f64 -1 (/.f64 6 (fma.f64 4 (sqrt.f64 x) (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1 (/.f64 6 (fma.f64 4 (sqrt.f64 x) (+.f64 x 1)))) (*.f64 x (/.f64 6 (fma.f64 4 (sqrt.f64 x) (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 6 (fma.f64 4 (sqrt.f64 x) (+.f64 x 1))) x) (*.f64 (/.f64 6 (fma.f64 4 (sqrt.f64 x) (+.f64 x 1))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 6 (fma.f64 4 (sqrt.f64 x) (+.f64 x 1))) -1) (*.f64 (/.f64 6 (fma.f64 4 (sqrt.f64 x) (+.f64 x 1))) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x -1)) (/.f64 6 (fma.f64 4 (sqrt.f64 x) (+.f64 x 1))))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x -1)) (/.f64 6 (fma.f64 4 (sqrt.f64 x) (+.f64 x 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 x -1)) (/.f64 6 (fma.f64 4 (sqrt.f64 x) (+.f64 x 1)))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 x -1)) (/.f64 6 (fma.f64 4 (sqrt.f64 x) (+.f64 x 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 6 (+.f64 x -1)) (fma.f64 4 (sqrt.f64 x) (+.f64 x 1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 6 (+.f64 x -1)) (fma.f64 4 (sqrt.f64 x) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 6 (+.f64 -1 (pow.f64 x 3))) (*.f64 (fma.f64 4 (sqrt.f64 x) (+.f64 x 1)) (-.f64 (fma.f64 x x 1) (*.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 6 (fma.f64 x x -1)) (*.f64 (fma.f64 4 (sqrt.f64 x) (+.f64 x 1)) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1 (pow.f64 x 3)) 6) (*.f64 (-.f64 (fma.f64 x x 1) (*.f64 x -1)) (fma.f64 4 (sqrt.f64 x) (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x x -1) 6) (*.f64 (+.f64 x 1) (fma.f64 4 (sqrt.f64 x) (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1 (pow.f64 x 3)) (/.f64 6 (fma.f64 4 (sqrt.f64 x) (+.f64 x 1)))) (-.f64 (fma.f64 x x 1) (*.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x x -1) (/.f64 6 (fma.f64 4 (sqrt.f64 x) (+.f64 x 1)))) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 6 (fma.f64 4 (sqrt.f64 x) (+.f64 x 1))) (+.f64 -1 (pow.f64 x 3))) (-.f64 (fma.f64 x x 1) (*.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 6 (fma.f64 4 (sqrt.f64 x) (+.f64 x 1))) (fma.f64 x x -1)) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 6 (+.f64 x -1)) 1) (fma.f64 4 (sqrt.f64 x) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 6 (+.f64 x -1)) -1) (neg.f64 (fma.f64 4 (sqrt.f64 x) (+.f64 x 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(expm1.f64 (/.f64 (*.f64 6 (+.f64 x -1)) (fma.f64 4 (sqrt.f64 x) (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (*.f64 6 (+.f64 x -1)) (fma.f64 4 (sqrt.f64 x) (+.f64 x 1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (*.f64 6 (+.f64 x -1)) (fma.f64 4 (sqrt.f64 x) (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (*.f64 6 (+.f64 x -1)) (fma.f64 4 (sqrt.f64 x) (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (*.f64 6 (+.f64 x -1))) (log1p.f64 (fma.f64 4 (sqrt.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log.f64 (*.f64 6 (+.f64 x -1))) (log1p.f64 (fma.f64 4 (sqrt.f64 x) x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (/.f64 6 (fma.f64 4 (sqrt.f64 x) (+.f64 x 1))) (*.f64 -1 (/.f64 6 (fma.f64 4 (sqrt.f64 x) (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 6 (fma.f64 4 (sqrt.f64 x) (+.f64 x 1))) x (*.f64 (/.f64 6 (fma.f64 4 (sqrt.f64 x) (+.f64 x 1))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 6 (fma.f64 4 (sqrt.f64 x) (+.f64 x 1))) -1 (*.f64 (/.f64 6 (fma.f64 4 (sqrt.f64 x) (+.f64 x 1))) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (/.f64 6 (fma.f64 4 (sqrt.f64 x) (+.f64 x 1))) (*.f64 x (/.f64 6 (fma.f64 4 (sqrt.f64 x) (+.f64 x 1)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (fma.f64 4 (sqrt.f64 x) (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 4 (sqrt.f64 x) (+.f64 x 1))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 4 (sqrt.f64 x) (+.f64 x 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 4 (sqrt.f64 x) (+.f64 x 1)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 4 (sqrt.f64 x) (+.f64 x 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 4 (sqrt.f64 x) (+.f64 x 1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (fma.f64 4 (sqrt.f64 x) (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 4 (sqrt.f64 x) (+.f64 x 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (fma.f64 4 (sqrt.f64 x) (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (fma.f64 4 (sqrt.f64 x) (+.f64 x 1)))) (cbrt.f64 (pow.f64 (fma.f64 4 (sqrt.f64 x) (+.f64 x 1)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 4 (sqrt.f64 x) (+.f64 x 1)) -2)) (/.f64 1 (cbrt.f64 (fma.f64 4 (sqrt.f64 x) (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 4 (sqrt.f64 x) (+.f64 x 1)) -1/2) (pow.f64 (fma.f64 4 (sqrt.f64 x) (+.f64 x 1)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 (pow.f64 (fma.f64 4 (sqrt.f64 x) x) 3))) (+.f64 (pow.f64 (fma.f64 4 (sqrt.f64 x) x) 2) (-.f64 1 (fma.f64 4 (sqrt.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (pow.f64 (fma.f64 4 (sqrt.f64 x) x) 2) -1)) (fma.f64 4 (sqrt.f64 x) (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 4 (sqrt.f64 x) (+.f64 x 1))) -2) (/.f64 1 (cbrt.f64 (fma.f64 4 (sqrt.f64 x) (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 4 (sqrt.f64 x) (+.f64 x 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (fma.f64 4 (sqrt.f64 x) (+.f64 x 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 4 (sqrt.f64 x) (+.f64 x 1)) 2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 4 (sqrt.f64 x) (+.f64 x 1)) 3) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 4 (sqrt.f64 x) (+.f64 x 1)) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 4 (sqrt.f64 x) (+.f64 x 1)) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 4 (sqrt.f64 x) (+.f64 x 1))) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 4 (sqrt.f64 x) (+.f64 x 1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 4 (sqrt.f64 x) (+.f64 x 1))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 4 (sqrt.f64 x) (+.f64 x 1)) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (neg.f64 (fma.f64 4 (sqrt.f64 x) (+.f64 x 1)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 4 (sqrt.f64 x) (+.f64 x 1)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (fma.f64 4 (sqrt.f64 x) (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 4 (sqrt.f64 x) (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 4 (sqrt.f64 x) (+.f64 x 1)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 4 (sqrt.f64 x) (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 4 (sqrt.f64 x) (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log1p.f64 (fma.f64 4 (sqrt.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (fma.f64 4 (sqrt.f64 x) x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log1p.f64 (fma.f64 4 (sqrt.f64 x) x))) 1))))))

simplify10.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
1×1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0721
1921
Stop Event
1×saturated
Counts
101 → 97
Calls
Call 1
Inputs
6
(/.f64 6 x)
(/.f64 6 x)
-6
6
6
1
(/.f64 1 x)
(/.f64 1 x)
Outputs
6
(/.f64 6 x)
(/.f64 6 x)
-6
6
6
1
(/.f64 1 x)
(/.f64 1 x)

localize33.0ms (0.6%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 (pow.f64 (-.f64 x -1) 2) (*.f64 x 16))
✓0.1b
(fma.f64 6 x -6)
✓0.1b
(*.f64 (/.f64 (fma.f64 6 x -6) (-.f64 (pow.f64 (-.f64 x -1) 2) (*.f64 x 16))) (+.f64 (-.f64 x -1) (*.f64 -4 (sqrt.f64 x))))
✓15.0b
(/.f64 (fma.f64 6 x -6) (-.f64 (pow.f64 (-.f64 x -1) 2) (*.f64 x 16)))
Compiler

Compiled 83 to 61 computations (26.5% saved)

series9.0ms (0.2%)

Counts
4 → 39
Calls

12 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
(*.f64 (/.f64 (fma.f64 6 x -6) (-.f64 (pow.f64 (-.f64 x -1) 2) (*.f64 x 16))) (+.f64 (-.f64 x -1) (*.f64 -4 (sqrt.f64 x))))
1.0ms
x
@0
(/.f64 (fma.f64 6 x -6) (-.f64 (pow.f64 (-.f64 x -1) 2) (*.f64 x 16)))
1.0ms
x
@inf
(*.f64 (/.f64 (fma.f64 6 x -6) (-.f64 (pow.f64 (-.f64 x -1) 2) (*.f64 x 16))) (+.f64 (-.f64 x -1) (*.f64 -4 (sqrt.f64 x))))
1.0ms
x
@0
(*.f64 (/.f64 (fma.f64 6 x -6) (-.f64 (pow.f64 (-.f64 x -1) 2) (*.f64 x 16))) (+.f64 (-.f64 x -1) (*.f64 -4 (sqrt.f64 x))))
1.0ms
x
@inf
(/.f64 (fma.f64 6 x -6) (-.f64 (pow.f64 (-.f64 x -1) 2) (*.f64 x 16)))

rewrite120.0ms (2.4%)

Algorithm
1×batch-egg-rewrite
Rules
746×fma-def_binary64
386×fma-neg_binary64
321×expm1-udef_binary64
321×log1p-udef_binary64
204×add-sqr-sqrt_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01872
141355
2583351
Stop Event
1×node limit
Counts
4 → 258
Calls
Call 1
Inputs
(/.f64 (fma.f64 6 x -6) (-.f64 (pow.f64 (-.f64 x -1) 2) (*.f64 x 16)))
(*.f64 (/.f64 (fma.f64 6 x -6) (-.f64 (pow.f64 (-.f64 x -1) 2) (*.f64 x 16))) (+.f64 (-.f64 x -1) (*.f64 -4 (sqrt.f64 x))))
(fma.f64 6 x -6)
(-.f64 (pow.f64 (-.f64 x -1) 2) (*.f64 x 16))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 6 x -6) (fma.f64 x -16 (pow.f64 (+.f64 x 1) 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 6 x -6) (/.f64 1 (fma.f64 x -16 (pow.f64 (+.f64 x 1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 6 x -6) (fma.f64 x -16 (pow.f64 (+.f64 x 1) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fma.f64 6 x -6) (fma.f64 x -16 (pow.f64 (+.f64 x 1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 6 x -6)) 2) (*.f64 (cbrt.f64 (fma.f64 6 x -6)) (/.f64 1 (fma.f64 x -16 (pow.f64 (+.f64 x 1) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (fma.f64 6 x -6) (fma.f64 x -16 (pow.f64 (+.f64 x 1) 2)))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 6 x -6) (fma.f64 x -16 (pow.f64 (+.f64 x 1) 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 6 x -6) (fma.f64 x -16 (pow.f64 (+.f64 x 1) 2)))) 2) (cbrt.f64 (/.f64 (fma.f64 6 x -6) (fma.f64 x -16 (pow.f64 (+.f64 x 1) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 6 x -6)) (*.f64 (sqrt.f64 (fma.f64 6 x -6)) (/.f64 1 (fma.f64 x -16 (pow.f64 (+.f64 x 1) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 6 x -6)) (fma.f64 -4 (sqrt.f64 x) (+.f64 x 1))) (/.f64 (sqrt.f64 (fma.f64 6 x -6)) (fma.f64 -4 (sqrt.f64 x) (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (fma.f64 6 x -6)) (/.f64 1 (neg.f64 (fma.f64 x -16 (pow.f64 (+.f64 x 1) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x -16 (pow.f64 (+.f64 x 1) 2))) (fma.f64 6 x -6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 6 x -6)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 6 x -6)) (fma.f64 x -16 (pow.f64 (+.f64 x 1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 6 x -6)) 1) (/.f64 (sqrt.f64 (fma.f64 6 x 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fma.f64 (-.f64 (pow.f64 (+.f64 x 1) 6) (*.f64 4096 (pow.f64 x 3))) (/.f64 1 (fma.f64 (*.f64 x 16) (fma.f64 x 16 (pow.f64 (+.f64 x 1) 2)) (pow.f64 (+.f64 x 1) 4))) (fma.f64 -16 x (*.f64 x 16)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (+.f64 x 1) 6) (*.f64 4096 (pow.f64 x 3))) (/.f64 1 (fma.f64 (*.f64 x 16) (fma.f64 x 16 (pow.f64 (+.f64 x 1) 2)) (pow.f64 (+.f64 x 1) 4))) (fma.f64 (*.f64 x -16) 1 (*.f64 x 16)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (+.f64 x 1) 6) (*.f64 4096 (pow.f64 x 3))) (/.f64 1 (fma.f64 (*.f64 x 16) (fma.f64 x 16 (pow.f64 (+.f64 x 1) 2)) (pow.f64 (+.f64 x 1) 4))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x 16))) (pow.f64 (cbrt.f64 (*.f64 x 16)) 2) (*.f64 x 16)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (+.f64 x 1) 4) (*.f64 (*.f64 x x) 256)) (/.f64 1 (fma.f64 x 16 (pow.f64 (+.f64 x 1) 2))) (fma.f64 -16 x (*.f64 x 16)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (+.f64 x 1) 4) (*.f64 (*.f64 x x) 256)) (/.f64 1 (fma.f64 x 16 (pow.f64 (+.f64 x 1) 2))) (fma.f64 (*.f64 x -16) 1 (*.f64 x 16)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (+.f64 x 1) 4) (*.f64 (*.f64 x x) 256)) (/.f64 1 (fma.f64 x 16 (pow.f64 (+.f64 x 1) 2))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x 16))) (pow.f64 (cbrt.f64 (*.f64 x 16)) 2) (*.f64 x 16)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (fma.f64 -4 (sqrt.f64 x) (+.f64 x 1)) (sqrt.f64 (fma.f64 -4 (sqrt.f64 x) (+.f64 x 1)))) (sqrt.f64 (fma.f64 -4 (sqrt.f64 x) (+.f64 x 1))) (fma.f64 -16 x (*.f64 x 16)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (fma.f64 -4 (sqrt.f64 x) (+.f64 x 1)) (sqrt.f64 (fma.f64 -4 (sqrt.f64 x) (+.f64 x 1)))) (sqrt.f64 (fma.f64 -4 (sqrt.f64 x) (+.f64 x 1))) (fma.f64 (*.f64 x -16) 1 (*.f64 x 16)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (fma.f64 -4 (sqrt.f64 x) (+.f64 x 1)) (sqrt.f64 (fma.f64 -4 (sqrt.f64 x) (+.f64 x 1)))) (sqrt.f64 (fma.f64 -4 (sqrt.f64 x) (+.f64 x 1))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x 16))) (pow.f64 (cbrt.f64 (*.f64 x 16)) 2) (*.f64 x 16)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 x 1) (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (+.f64 x 1)) (*.f64 x -16))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 x 1) (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (+.f64 x 1)) (*.f64 (*.f64 x -16) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (*.f64 x -16)) (cbrt.f64 (*.f64 x -16))) (cbrt.f64 (*.f64 x -16)) (pow.f64 (+.f64 x 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x -16)) (sqrt.f64 (*.f64 x -16)) (pow.f64 (+.f64 x 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (*.f64 -4 (sqrt.f64 x))) (*.f64 -4 (sqrt.f64 x)) (pow.f64 (+.f64 x 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -16 x (pow.f64 (+.f64 x 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x 16)) 2)) (cbrt.f64 (*.f64 x 16)) (pow.f64 (+.f64 x 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (fma.f64 -4 (sqrt.f64 x) (+.f64 x 1)) (cbrt.f64 (fma.f64 x -16 (pow.f64 (+.f64 x 1) 2)))) (cbrt.f64 (fma.f64 -4 (sqrt.f64 x) (+.f64 x 1))) (fma.f64 -16 x (*.f64 x 16)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (fma.f64 -4 (sqrt.f64 x) (+.f64 x 1)) (cbrt.f64 (fma.f64 x -16 (pow.f64 (+.f64 x 1) 2)))) (cbrt.f64 (fma.f64 -4 (sqrt.f64 x) (+.f64 x 1))) (fma.f64 (*.f64 x -16) 1 (*.f64 x 16)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (fma.f64 -4 (sqrt.f64 x) (+.f64 x 1)) (cbrt.f64 (fma.f64 x -16 (pow.f64 (+.f64 x 1) 2)))) (cbrt.f64 (fma.f64 -4 (sqrt.f64 x) (+.f64 x 1))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x 16))) (pow.f64 (cbrt.f64 (*.f64 x 16)) 2) (*.f64 x 16)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 x 1) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (cbrt.f64 (+.f64 x 1)) (*.f64 x -16))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 x 1) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (cbrt.f64 (+.f64 x 1)) (*.f64 (*.f64 x -16) 1))))))

simplify75.0ms (1.5%)

Algorithm
1×egg-herbie
Rules
868×fma-neg_binary64
653×fma-def_binary64
619×associate-/r*_binary64
562×associate-/r/_binary64
334×distribute-rgt-neg-in_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
046334
1112316
2241310
3595304
41634301
55134301
67224301
Stop Event
1×node limit
Counts
297 → 286
Calls
Call 1
Inputs
-6
(-.f64 (*.f64 -78 x) 6)
(-.f64 (+.f64 (*.f64 -78 x) (*.f64 -1086 (pow.f64 x 2))) 6)
(-.f64 (+.f64 (*.f64 -15126 (pow.f64 x 3)) (+.f64 (*.f64 -78 x) (*.f64 -1086 (pow.f64 x 2)))) 6)
(/.f64 6 x)
(+.f64 (*.f64 78 (/.f64 1 (pow.f64 x 2))) (*.f64 6 (/.f64 1 x)))
(+.f64 (*.f64 78 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 6 (/.f64 1 x)) (*.f64 1086 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (*.f64 15126 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 78 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 6 (/.f64 1 x)) (*.f64 1086 (/.f64 1 (pow.f64 x 3))))))
(/.f64 6 x)
(+.f64 (*.f64 78 (/.f64 1 (pow.f64 x 2))) (*.f64 6 (/.f64 1 x)))
(+.f64 (*.f64 78 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 6 (/.f64 1 x)) (*.f64 1086 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (*.f64 15126 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 78 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 6 (/.f64 1 x)) (*.f64 1086 (/.f64 1 (pow.f64 x 3))))))
-6
6
6
-6
(-.f64 (*.f64 6 x) 6)
(-.f64 (*.f64 6 x) 6)
(-.f64 (*.f64 6 x) 6)
(*.f64 6 x)
(-.f64 (*.f64 6 x) 6)
(-.f64 (*.f64 6 x) 6)
(-.f64 (*.f64 6 x) 6)
(*.f64 6 x)
(-.f64 (*.f64 6 x) 6)
(-.f64 (*.f64 6 x) 6)
(-.f64 (*.f64 6 x) 6)
1
(+.f64 (*.f64 -14 x) 1)
(+.f64 (*.f64 -14 x) (+.f64 1 (pow.f64 x 2)))
(+.f64 (*.f64 -14 x) (+.f64 1 (pow.f64 x 2)))
(pow.f64 x 2)
(+.f64 (*.f64 -14 x) (pow.f64 x 2))
(+.f64 (*.f64 -14 x) (+.f64 1 (pow.f64 x 2)))
(+.f64 (*.f64 -14 x) (+.f64 1 (pow.f64 x 2)))
(pow.f64 x 2)
(+.f64 (*.f64 -14 x) (pow.f64 x 2))
(+.f64 (*.f64 -14 x) (+.f64 1 (pow.f64 x 2)))
(+.f64 (*.f64 -14 x) (+.f64 1 (pow.f64 x 2)))
Outputs
-6
(-.f64 (*.f64 -78 x) 6)
(fma.f64 -78 x -6)
(-.f64 (+.f64 (*.f64 -78 x) (*.f64 -1086 (pow.f64 x 2))) 6)
(+.f64 (fma.f64 -78 x (*.f64 -1086 (*.f64 x x))) -6)
(fma.f64 -78 x (fma.f64 -1086 (*.f64 x x) -6))
(fma.f64 -78 x (fma.f64 x (*.f64 x -1086) -6))
(fma.f64 x (fma.f64 x -1086 -78) -6)
(-.f64 (+.f64 (*.f64 -15126 (pow.f64 x 3)) (+.f64 (*.f64 -78 x) (*.f64 -1086 (pow.f64 x 2)))) 6)
(+.f64 (fma.f64 -15126 (pow.f64 x 3) (fma.f64 -78 x (*.f64 -1086 (*.f64 x x)))) -6)
(fma.f64 -15126 (pow.f64 x 3) (fma.f64 -78 x (fma.f64 -1086 (*.f64 x x) -6)))
(fma.f64 -15126 (pow.f64 x 3) (fma.f64 -78 x (fma.f64 x (*.f64 x -1086) -6)))
(fma.f64 x (fma.f64 x -1086 -78) (fma.f64 -15126 (pow.f64 x 3) -6))
(fma.f64 x (fma.f64 x (fma.f64 x -15126 -1086) -78) -6)
(/.f64 6 x)
(+.f64 (*.f64 78 (/.f64 1 (pow.f64 x 2))) (*.f64 6 (/.f64 1 x)))
(+.f64 (/.f64 78 (*.f64 x x)) (/.f64 6 x))
(+.f64 (/.f64 (/.f64 78 x) x) (/.f64 6 x))
(+.f64 (*.f64 78 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 6 (/.f64 1 x)) (*.f64 1086 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 78 (*.f64 x x)) (+.f64 (/.f64 6 x) (/.f64 1086 (pow.f64 x 3))))
(+.f64 (/.f64 (/.f64 78 x) x) (+.f64 (/.f64 6 x) (/.f64 1086 (pow.f64 x 3))))
(+.f64 (*.f64 15126 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 78 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 6 (/.f64 1 x)) (*.f64 1086 (/.f64 1 (pow.f64 x 3))))))
(+.f64 (+.f64 (/.f64 78 (*.f64 x x)) (+.f64 (/.f64 6 x) (/.f64 1086 (pow.f64 x 3)))) (/.f64 15126 (pow.f64 x 4)))
(+.f64 (+.f64 (/.f64 6 x) (/.f64 1086 (pow.f64 x 3))) (+.f64 (/.f64 (/.f64 78 x) x) (/.f64 15126 (pow.f64 x 4))))
(+.f64 (/.f64 78 (*.f64 x x)) (+.f64 (/.f64 1086 (pow.f64 x 3)) (+.f64 (/.f64 6 x) (/.f64 15126 (pow.f64 x 4)))))
(+.f64 (/.f64 78 (*.f64 x x)) (+.f64 (/.f64 6 x) (+.f64 (/.f64 1086 (pow.f64 x 3)) (/.f64 15126 (pow.f64 x 4)))))
(+.f64 (/.f64 (/.f64 78 x) x) (+.f64 (/.f64 6 x) (+.f64 (/.f64 1086 (pow.f64 x 3)) (/.f64 15126 (pow.f64 x 4)))))
(/.f64 6 x)
(+.f64 (*.f64 78 (/.f64 1 (pow.f64 x 2))) (*.f64 6 (/.f64 1 x)))
(+.f64 (/.f64 78 (*.f64 x x)) (/.f64 6 x))
(+.f64 (/.f64 (/.f64 78 x) x) (/.f64 6 x))
(+.f64 (*.f64 78 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 6 (/.f64 1 x)) (*.f64 1086 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 78 (*.f64 x x)) (+.f64 (/.f64 6 x) (/.f64 1086 (pow.f64 x 3))))
(+.f64 (/.f64 (/.f64 78 x) x) (+.f64 (/.f64 6 x) (/.f64 1086 (pow.f64 x 3))))
(+.f64 (*.f64 15126 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 78 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 6 (/.f64 1 x)) (*.f64 1086 (/.f64 1 (pow.f64 x 3))))))
(+.f64 (+.f64 (/.f64 78 (*.f64 x x)) (+.f64 (/.f64 6 x) (/.f64 1086 (pow.f64 x 3)))) (/.f64 15126 (pow.f64 x 4)))
(+.f64 (+.f64 (/.f64 6 x) (/.f64 1086 (pow.f64 x 3))) (+.f64 (/.f64 (/.f64 78 x) x) (/.f64 15126 (pow.f64 x 4))))
(+.f64 (/.f64 78 (*.f64 x x)) (+.f64 (/.f64 1086 (pow.f64 x 3)) (+.f64 (/.f64 6 x) (/.f64 15126 (pow.f64 x 4)))))
(+.f64 (/.f64 78 (*.f64 x x)) (+.f64 (/.f64 6 x) (+.f64 (/.f64 1086 (pow.f64 x 3)) (/.f64 15126 (pow.f64 x 4)))))
(+.f64 (/.f64 (/.f64 78 x) x) (+.f64 (/.f64 6 x) (+.f64 (/.f64 1086 (pow.f64 x 3)) (/.f64 15126 (pow.f64 x 4)))))
-6
6
6
-6
(-.f64 (*.f64 6 x) 6)
(fma.f64 6 x -6)
(fma.f64 x 6 -6)
(-.f64 (*.f64 6 x) 6)
(fma.f64 6 x -6)
(fma.f64 x 6 -6)
(-.f64 (*.f64 6 x) 6)
(fma.f64 6 x -6)
(fma.f64 x 6 -6)
(*.f64 6 x)
(*.f64 x 6)
(-.f64 (*.f64 6 x) 6)
(fma.f64 6 x -6)
(fma.f64 x 6 -6)
(-.f64 (*.f64 6 x) 6)
(fma.f64 6 x -6)
(fma.f64 x 6 -6)
(-.f64 (*.f64 6 x) 6)
(fma.f64 6 x -6)
(fma.f64 x 6 -6)
(*.f64 6 x)
(*.f64 x 6)
(-.f64 (*.f64 6 x) 6)
(fma.f64 6 x -6)
(fma.f64 x 6 -6)
(-.f64 (*.f64 6 x) 6)
(fma.f64 6 x -6)
(fma.f64 x 6 -6)
(-.f64 (*.f64 6 x) 6)
(fma.f64 6 x -6)
(fma.f64 x 6 -6)
1
(+.f64 (*.f64 -14 x) 1)
(fma.f64 -14 x 1)
(fma.f64 x -14 1)
(+.f64 (*.f64 -14 x) (+.f64 1 (pow.f64 x 2)))
(+.f64 (fma.f64 -14 x 1) (*.f64 x x))
(fma.f64 x -14 (fma.f64 x x 1))
(fma.f64 x (+.f64 x -14) 1)
(+.f64 (*.f64 -14 x) (+.f64 1 (pow.f64 x 2)))
(+.f64 (fma.f64 -14 x 1) (*.f64 x x))
(fma.f64 x -14 (fma.f64 x x 1))
(fma.f64 x (+.f64 x -14) 1)
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 -14 x) (pow.f64 x 2))
(fma.f64 -14 x (*.f64 x x))
(*.f64 x (+.f64 x -14))
(+.f64 (*.f64 -14 x) (+.f64 1 (pow.f64 x 2)))
(+.f64 (fma.f64 -14 x 1) (*.f64 x x))
(fma.f64 x -14 (fma.f64 x x 1))
(fma.f64 x (+.f64 x -14) 1)
(+.f64 (*.f64 -14 x) (+.f64 1 (pow.f64 x 2)))
(+.f64 (fma.f64 -14 x 1) (*.f64 x x))
(fma.f64 x -14 (fma.f64 x x 1))
(fma.f64 x (+.f64 x -14) 1)
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 -14 x) (pow.f64 x 2))
(fma.f64 -14 x (*.f64 x x))
(*.f64 x (+.f64 x -14))
(+.f64 (*.f64 -14 x) (+.f64 1 (pow.f64 x 2)))
(+.f64 (fma.f64 -14 x 1) (*.f64 x x))
(fma.f64 x -14 (fma.f64 x x 1))
(fma.f64 x (+.f64 x -14) 1)
(+.f64 (*.f64 -14 x) (+.f64 1 (pow.f64 x 2)))
(+.f64 (fma.f64 -14 x 1) (*.f64 x x))
(fma.f64 x -14 (fma.f64 x x 1))
(fma.f64 x (+.f64 x -14) 1)

eval333.0ms (6.5%)

Compiler

Compiled 15184 to 11335 computations (25.3% saved)

prune130.0ms (2.5%)

Pruning

16 alts after pruning (15 fresh and 1 done)

PrunedKeptTotal
New60413617
Fresh325
Picked101
Done415
Total61216628
Error
0b
Counts
628 → 16
Alt Table
Click to see full alt table
StatusErrorProgram
33.2b
-6
▶32.8b
(*.f64 -6 (+.f64 (-.f64 x -1) (*.f64 -4 (sqrt.f64 x))))
▶2.9b
(*.f64 6 (/.f64 (+.f64 x -1) (+.f64 x 1)))
3.0b
(*.f64 (+.f64 x -1) (*.f64 6 (/.f64 1 (+.f64 x 1))))
▶0.0b
(*.f64 6 (/.f64 (+.f64 x -1) (+.f64 (+.f64 (*.f64 4 (sqrt.f64 x)) x) 1)))
0.2b
(*.f64 (+.f64 x -1) (*.f64 6 (/.f64 1 (+.f64 (+.f64 (*.f64 4 (sqrt.f64 x)) x) 1))))
32.1b
(*.f64 (/.f64 6 x) (+.f64 (-.f64 x -1) (*.f64 -4 (sqrt.f64 x))))
▶0.1b
(*.f64 (/.f64 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) (+.f64 x -1))
✓0.1b
(/.f64 (*.f64 6 (-.f64 x 1)) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))
▶31.9b
(*.f64 (+.f64 x -1) 6)
46.9b
(*.f64 (/.f64 (fma.f64 6 x -6) (*.f64 x (+.f64 x -14))) (+.f64 (-.f64 x -1) (*.f64 -4 (sqrt.f64 x))))
31.7b
(*.f64 (+.f64 x -1) (*.f64 6 (/.f64 1 x)))
31.6b
(+.f64 6 (/.f64 -12 x))
0.3b
(*.f64 6 (/.f64 (+.f64 x -1) (+.f64 (*.f64 (sqrt.f64 x) (+.f64 4 (sqrt.f64 x))) 1)))
32.7b
6
32.0b
(-.f64 (*.f64 12 x) 6)
Compiler

Compiled 331 to 264 computations (20.2% saved)

localize20.0ms (0.4%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (*.f64 4 (sqrt.f64 x)) x)
✓0.0b
(*.f64 6 (/.f64 (+.f64 x -1) (+.f64 (+.f64 (*.f64 4 (sqrt.f64 x)) x) 1)))
✓0.0b
(/.f64 (+.f64 x -1) (+.f64 (+.f64 (*.f64 4 (sqrt.f64 x)) x) 1))
Compiler

Compiled 55 to 36 computations (34.5% saved)

series6.0ms (0.1%)

Counts
3 → 8
Calls

9 calls:

TimeVariablePointExpression
3.0ms
x
@inf
(/.f64 (+.f64 x -1) (+.f64 (+.f64 (*.f64 4 (sqrt.f64 x)) x) 1))
1.0ms
x
@0
(/.f64 (+.f64 x -1) (+.f64 (+.f64 (*.f64 4 (sqrt.f64 x)) x) 1))
0.0ms
x
@-inf
(/.f64 (+.f64 x -1) (+.f64 (+.f64 (*.f64 4 (sqrt.f64 x)) x) 1))
0.0ms
x
@-inf
(*.f64 6 (/.f64 (+.f64 x -1) (+.f64 (+.f64 (*.f64 4 (sqrt.f64 x)) x) 1)))
0.0ms
x
@inf
(*.f64 6 (/.f64 (+.f64 x -1) (+.f64 (+.f64 (*.f64 4 (sqrt.f64 x)) x) 1)))

rewrite88.0ms (1.7%)

Algorithm
1×batch-egg-rewrite
Rules
634×log-prod_binary64
512×fma-def_binary64
357×pow2_binary64
307×fma-neg_binary64
246×pow1/3_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01342
129142
2394740
Stop Event
1×node limit
Counts
3 → 137
Calls
Call 1
Inputs
(/.f64 (+.f64 x -1) (+.f64 (+.f64 (*.f64 4 (sqrt.f64 x)) x) 1))
(*.f64 6 (/.f64 (+.f64 x -1) (+.f64 (+.f64 (*.f64 4 (sqrt.f64 x)) x) 1)))
(+.f64 (*.f64 4 (sqrt.f64 x)) x)
Outputs
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(#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 4 (sqrt.f64 x) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 4 (sqrt.f64 x) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 4 (sqrt.f64 x) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 x (-.f64 x (sqrt.f64 (*.f64 x 16))) (*.f64 x 16)) (fma.f64 64 (pow.f64 x 3/2) (pow.f64 x 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (sqrt.f64 (*.f64 x 16)) x) (-.f64 (*.f64 x 16) (*.f64 x x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 4 (sqrt.f64 x) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 4 (sqrt.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 4 (sqrt.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 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log1p.f64 (expm1.f64 (fma.f64 4 (sqrt.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 4 (sqrt.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 4 (sqrt.f64 x) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (sqrt.f64 (*.f64 x 16)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 4 (sqrt.f64 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) 4 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (sqrt.f64 (*.f64 x 16)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x 16)) 1 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (sqrt.f64 (*.f64 x 16)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (sqrt.f64 (*.f64 x 16)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (*.f64 x 16)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (sqrt.f64 x)) (sqrt.f64 x)) (sqrt.f64 (*.f64 x 16)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (sqrt.f64 x)) 4) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (sqrt.f64 (*.f64 x 16)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))) (pow.f64 (cbrt.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))) 2) (cbrt.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (sqrt.f64 (*.f64 x 16))) (cbrt.f64 (*.f64 x 16)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x 16)) (cbrt.f64 (sqrt.f64 (*.f64 x 16))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 1/4) (*.f64 (pow.f64 x 1/4) (sqrt.f64 x)) (sqrt.f64 (*.f64 x 16)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 1/4) (*.f64 (pow.f64 x 1/4) 4) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))) (sqrt.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2 (pow.f64 x 1/4)) (*.f64 2 (pow.f64 x 1/4)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (pow.f64 (fma.f64 4 (sqrt.f64 x) x) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 4 (sqrt.f64 x) x) 2) (-.f64 1 (fma.f64 4 (sqrt.f64 x) x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (fma.f64 4 (sqrt.f64 x) x) 2) -1) (/.f64 1 (+.f64 x (fma.f64 4 (sqrt.f64 x) -1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (pow.f64 x 1/4) 3) (pow.f64 x 1/4) (sqrt.f64 (*.f64 x 16)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 x) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)) (sqrt.f64 (*.f64 x 16)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 4 (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 4 (pow.f64 x 1/4)) (pow.f64 x 1/4) x)))))

simplify14.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
1×1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058
188
Stop Event
1×saturated
Counts
145 → 142
Calls
Call 1
Inputs
-1
1
1
-6
6
6
x
x
Outputs
-1
1
1
-6
6
6
x
x

localize5.0ms (0.1%)

Compiler

Compiled 12 to 9 computations (25% saved)

localize11.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 (+.f64 x -1) (+.f64 x 1))
✓0.0b
(*.f64 6 (/.f64 (+.f64 x -1) (+.f64 x 1)))
Compiler

Compiled 27 to 20 computations (25.9% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
0.0ms
x
@0
(*.f64 6 (/.f64 (+.f64 x -1) (+.f64 x 1)))
0.0ms
x
@inf
(*.f64 6 (/.f64 (+.f64 x -1) (+.f64 x 1)))
0.0ms
x
@inf
(/.f64 (+.f64 x -1) (+.f64 x 1))
0.0ms
x
@0
(/.f64 (+.f64 x -1) (+.f64 x 1))
0.0ms
x
@-inf
(*.f64 6 (/.f64 (+.f64 x -1) (+.f64 x 1)))

rewrite71.0ms (1.4%)

Algorithm
1×batch-egg-rewrite
Rules
608×unpow-prod-down_binary64
417×log-prod_binary64
320×exp-prod_binary64
240×pow-prod-down_binary64
232×pow2_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0923
119523
2256821
Stop Event
1×node limit
Counts
2 → 111
Calls
Call 1
Inputs
(*.f64 6 (/.f64 (+.f64 x -1) (+.f64 x 1)))
(/.f64 (+.f64 x -1) (+.f64 x 1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (fma.f64 6 x -6) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 6 x -6) (+.f64 x 1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 6 x -6) (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 6 x -6) (+.f64 x 1))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 6 x -6) (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 6 x -6) (+.f64 x 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 6 (/.f64 (+.f64 x 1) (-.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x 1) (fma.f64 6 x -6)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 6 x -6) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 6 x -6)) (+.f64 -1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (fma.f64 6 x -6) 1) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (fma.f64 6 x -6) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (cbrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (fma.f64 6 x -6) (hypot.f64 1 (sqrt.f64 x))) (hypot.f64 1 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 x) 6) (+.f64 -1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 6 (-.f64 1 x)) (+.f64 -1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 6 x -6) (+.f64 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (-.f64 (log.f64 (fma.f64 6 x -6)) (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 6 x -6) (+.f64 x 1)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 6 x -6) (+.f64 x 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (fma.f64 6 x -6) (+.f64 x 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (fma.f64 6 x -6) (+.f64 x 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x 1) (fma.f64 6 x -6)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 (fma.f64 6 x -6)) (log1p.f64 x))) 2)) (cbrt.f64 (-.f64 (log.f64 (fma.f64 6 x -6)) (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log.f64 (fma.f64 6 x -6)) (log1p.f64 x)))) (sqrt.f64 (-.f64 (log.f64 (fma.f64 6 x -6)) (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (fma.f64 6 x -6) (+.f64 x 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (fma.f64 6 x -6) (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 6 x -6) (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fma.f64 6 x -6) (+.f64 x 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 6 x -6) (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 6 x -6) (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (fma.f64 6 x -6)) (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log.f64 (fma.f64 6 x -6)) (log1p.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (-.f64 (log.f64 (fma.f64 6 x -6)) (log1p.f64 x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/3 (-.f64 (log.f64 (fma.f64 6 x -6)) (log1p.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/2 (-.f64 (log.f64 (fma.f64 6 x -6)) (log1p.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (-.f64 (log.f64 (fma.f64 6 x -6)) (log1p.f64 x)) 1) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (-.f64 x 1) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 x 1) (+.f64 x 1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 x 1) (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 x 1) (+.f64 x 1))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 x 1) (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 x 1) (+.f64 x 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x 1) (/.f64 1 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 x 1) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 x 1) (+.f64 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 x 1) (+.f64 x 1))) (cbrt.f64 (pow.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) -2)) (cbrt.f64 (/.f64 (-.f64 x 1) (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 x 1)) 2) (*.f64 (cbrt.f64 (-.f64 x 1)) (/.f64 1 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 x 1) (+.f64 x 1))) (sqrt.f64 (/.f64 (-.f64 x 1) (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 x 1)) (*.f64 (sqrt.f64 (-.f64 x 1)) (/.f64 1 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 x) (/.f64 1 (+.f64 -1 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 x) (pow.f64 (/.f64 1 (+.f64 -1 (neg.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x 1)) (-.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x 1)) (pow.f64 (/.f64 1 (-.f64 x 1)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x 1)) 2) 1) (/.f64 (cbrt.f64 (-.f64 x 1)) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 x 1)) 1) (/.f64 (sqrt.f64 (-.f64 x 1)) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) -2) (/.f64 (-.f64 x 1) (cbrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x 1)) 2) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (cbrt.f64 (/.f64 (-.f64 x 1) (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 x 1)) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (/.f64 (sqrt.f64 (-.f64 x 1)) (cbrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 x 1) -1/2) (/.f64 (-.f64 x 1) (hypot.f64 1 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x 1)) 2) (hypot.f64 1 (sqrt.f64 x))) (/.f64 (cbrt.f64 (-.f64 x 1)) (hypot.f64 1 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 x 1) (fma.f64 x x -1)) (-.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 x 1) (+.f64 1 (pow.f64 x 3))) (-.f64 (fma.f64 x x 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (/.f64 (-.f64 x 1) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x 1)) 2) 1) 1) (pow.f64 (/.f64 (cbrt.f64 (-.f64 x 1)) (+.f64 x 1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 x 1)) 1) 1) (pow.f64 (/.f64 (sqrt.f64 (-.f64 x 1)) (+.f64 x 1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) -2) 1) (pow.f64 (/.f64 (-.f64 x 1) (cbrt.f64 (+.f64 x 1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x 1)) 2) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) 1) (cbrt.f64 (/.f64 (-.f64 x 1) (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 x 1)) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) 1) (pow.f64 (/.f64 (sqrt.f64 (-.f64 x 1)) (cbrt.f64 (+.f64 x 1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (+.f64 x 1) -1/2) 1) (pow.f64 (/.f64 (-.f64 x 1) (hypot.f64 1 (sqrt.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x 1)) 2) (hypot.f64 1 (sqrt.f64 x))) 1) (pow.f64 (/.f64 (cbrt.f64 (-.f64 x 1)) (hypot.f64 1 (sqrt.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (-.f64 x 1) (fma.f64 x x -1)) 1) (-.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (-.f64 x 1) (+.f64 1 (pow.f64 x 3))) 1) (-.f64 (fma.f64 x x 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 (-.f64 x 1) (+.f64 x 1)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 (-.f64 x 1) (+.f64 x 1)) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) -2) (-.f64 x 1)) 1/3) (cbrt.f64 (/.f64 1 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 (-.f64 x 1) (+.f64 x 1)) (cbrt.f64 (/.f64 (-.f64 x 1) (+.f64 x 1)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 (-.f64 x 1) (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 x 1) (+.f64 x 1)) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 x 1) (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (-.f64 x 1) (+.f64 x 1)))) 2) 3) (cbrt.f64 (/.f64 (-.f64 x 1) (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 x 1) (+.f64 x 1)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 x 1) (+.f64 x 1)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 x 1))) 2) -1) (cbrt.f64 (/.f64 (-.f64 x 1) (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) 1) -1) (pow.f64 (/.f64 (cbrt.f64 (+.f64 x 1)) (-.f64 x 1)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (hypot.f64 1 (sqrt.f64 x)) 1) -1) (pow.f64 (/.f64 (hypot.f64 1 (sqrt.f64 x)) (-.f64 x 1)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 x 1)) -2) -1) (pow.f64 (/.f64 (+.f64 x 1) (cbrt.f64 (-.f64 x 1))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (pow.f64 (cbrt.f64 (-.f64 x 1)) 2)) -1) (pow.f64 (/.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (-.f64 x 1))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (hypot.f64 1 (sqrt.f64 x)) (pow.f64 (cbrt.f64 (-.f64 x 1)) 2)) -1) (pow.f64 (/.f64 (hypot.f64 1 (sqrt.f64 x)) (cbrt.f64 (-.f64 x 1))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (-.f64 x 1) -1/2) -1) (pow.f64 (/.f64 (+.f64 x 1) (sqrt.f64 (-.f64 x 1))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (sqrt.f64 (-.f64 x 1))) -1) (pow.f64 (/.f64 (cbrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 x 1))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 (-.f64 x 1))) -1) (pow.f64 (/.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 (-.f64 x 1))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (+.f64 x 1) (+.f64 -1 (pow.f64 x 3))) -1) (/.f64 1 (-.f64 (fma.f64 x x 1) (*.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 x 1) (+.f64 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (-.f64 (log.f64 (-.f64 x 1)) (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 x 1) (+.f64 x 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 x 1) (+.f64 x 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 x 1) (+.f64 x 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (-.f64 x 1) 3) (pow.f64 (+.f64 x 1) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 (-.f64 x 1)) (log1p.f64 x))) 2)) (cbrt.f64 (-.f64 (log.f64 (-.f64 x 1)) (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log.f64 (-.f64 x 1)) (log1p.f64 x)))) (sqrt.f64 (-.f64 (log.f64 (-.f64 x 1)) (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 x 1) (+.f64 -1 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 x 1) (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 x 1) (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 x 1) (+.f64 x 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 x 1) 3) (pow.f64 (+.f64 x 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 x 1) (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 x 1) (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (-.f64 x 1)) (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log.f64 (-.f64 x 1)) (log1p.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (-.f64 (log.f64 (-.f64 x 1)) (log1p.f64 x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/3 (-.f64 (log.f64 (-.f64 x 1)) (log1p.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/2 (-.f64 (log.f64 (-.f64 x 1)) (log1p.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log1p.f64 x) (log.f64 (-.f64 x 1))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (-.f64 (log.f64 (-.f64 x 1)) (log1p.f64 x)) 1) 1))))))

simplify56.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
791×times-frac_binary64
607×fma-def_binary64
579×cancel-sign-sub-inv_binary64
545×associate-*l/_binary64
541×associate-/l/_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
049278
1152271
2406268
31145258
43531258
Stop Event
1×node limit
Counts
135 → 139
Calls
Call 1
Inputs
-6
(-.f64 (*.f64 12 x) 6)
(-.f64 (+.f64 (*.f64 12 x) (*.f64 -12 (pow.f64 x 2))) 6)
(-.f64 (+.f64 (*.f64 12 x) (+.f64 (*.f64 12 (pow.f64 x 3)) (*.f64 -12 (pow.f64 x 2)))) 6)
6
(-.f64 6 (*.f64 12 (/.f64 1 x)))
(-.f64 (+.f64 6 (*.f64 12 (/.f64 1 (pow.f64 x 2)))) (*.f64 12 (/.f64 1 x)))
(-.f64 (+.f64 6 (*.f64 12 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 12 (/.f64 1 (pow.f64 x 3))) (*.f64 12 (/.f64 1 x))))
6
(-.f64 6 (*.f64 12 (/.f64 1 x)))
(-.f64 (+.f64 6 (*.f64 12 (/.f64 1 (pow.f64 x 2)))) (*.f64 12 (/.f64 1 x)))
(-.f64 (+.f64 6 (*.f64 12 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 12 (/.f64 1 (pow.f64 x 3))) (*.f64 12 (/.f64 1 x))))
-1
(-.f64 (*.f64 2 x) 1)
(-.f64 (+.f64 (*.f64 2 x) (*.f64 -2 (pow.f64 x 2))) 1)
(-.f64 (+.f64 (*.f64 2 (pow.f64 x 3)) (+.f64 (*.f64 2 x) (*.f64 -2 (pow.f64 x 2)))) 1)
1
(-.f64 1 (*.f64 2 (/.f64 1 x)))
(-.f64 (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))) (*.f64 2 (/.f64 1 x)))
(-.f64 (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
1
(-.f64 1 (*.f64 2 (/.f64 1 x)))
(-.f64 (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))) (*.f64 2 (/.f64 1 x)))
(-.f64 (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
Outputs
-6
(-.f64 (*.f64 12 x) 6)
(fma.f64 12 x -6)
(-.f64 (+.f64 (*.f64 12 x) (*.f64 -12 (pow.f64 x 2))) 6)
(+.f64 (fma.f64 12 x (*.f64 -12 (*.f64 x x))) -6)
(fma.f64 12 x (fma.f64 -12 (*.f64 x x) -6))
(fma.f64 12 x (fma.f64 x (*.f64 x -12) -6))
(fma.f64 x (fma.f64 x -12 12) -6)
(-.f64 (+.f64 (*.f64 12 x) (+.f64 (*.f64 12 (pow.f64 x 3)) (*.f64 -12 (pow.f64 x 2)))) 6)
(+.f64 (fma.f64 12 x (fma.f64 12 (pow.f64 x 3) (*.f64 -12 (*.f64 x x)))) -6)
(+.f64 (*.f64 12 (+.f64 x (pow.f64 x 3))) (fma.f64 -12 (*.f64 x x) -6))
(fma.f64 12 (+.f64 x (pow.f64 x 3)) (fma.f64 x (*.f64 x -12) -6))
(fma.f64 12 (pow.f64 x 3) (fma.f64 x (fma.f64 x -12 12) -6))
(fma.f64 12 x (fma.f64 x (*.f64 x (fma.f64 12 x -12)) -6))
6
(-.f64 6 (*.f64 12 (/.f64 1 x)))
(-.f64 6 (/.f64 12 x))
(+.f64 6 (/.f64 -12 x))
(-.f64 (+.f64 6 (*.f64 12 (/.f64 1 (pow.f64 x 2)))) (*.f64 12 (/.f64 1 x)))
(-.f64 (+.f64 6 (/.f64 12 (*.f64 x x))) (/.f64 12 x))
(+.f64 (/.f64 12 (*.f64 x x)) (+.f64 6 (/.f64 -12 x)))
(+.f64 (+.f64 6 (/.f64 -12 x)) (/.f64 12 (*.f64 x x)))
(+.f64 6 (*.f64 (/.f64 12 x) (+.f64 (/.f64 1 x) -1)))
(-.f64 (+.f64 6 (*.f64 12 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 12 (/.f64 1 (pow.f64 x 3))) (*.f64 12 (/.f64 1 x))))
(+.f64 6 (-.f64 (/.f64 12 (*.f64 x x)) (+.f64 (/.f64 12 x) (/.f64 12 (pow.f64 x 3)))))
(+.f64 6 (+.f64 (/.f64 12 (*.f64 x x)) (-.f64 (/.f64 -12 x) (/.f64 12 (pow.f64 x 3)))))
(+.f64 6 (+.f64 (/.f64 12 (*.f64 x x)) (+.f64 (/.f64 -12 x) (/.f64 -12 (pow.f64 x 3)))))
(+.f64 6 (+.f64 (*.f64 (/.f64 12 x) (+.f64 (/.f64 1 x) -1)) (/.f64 -12 (pow.f64 x 3))))
6
(-.f64 6 (*.f64 12 (/.f64 1 x)))
(-.f64 6 (/.f64 12 x))
(+.f64 6 (/.f64 -12 x))
(-.f64 (+.f64 6 (*.f64 12 (/.f64 1 (pow.f64 x 2)))) (*.f64 12 (/.f64 1 x)))
(-.f64 (+.f64 6 (/.f64 12 (*.f64 x x))) (/.f64 12 x))
(+.f64 (/.f64 12 (*.f64 x x)) (+.f64 6 (/.f64 -12 x)))
(+.f64 (+.f64 6 (/.f64 -12 x)) (/.f64 12 (*.f64 x x)))
(+.f64 6 (*.f64 (/.f64 12 x) (+.f64 (/.f64 1 x) -1)))
(-.f64 (+.f64 6 (*.f64 12 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 12 (/.f64 1 (pow.f64 x 3))) (*.f64 12 (/.f64 1 x))))
(+.f64 6 (-.f64 (/.f64 12 (*.f64 x x)) (+.f64 (/.f64 12 x) (/.f64 12 (pow.f64 x 3)))))
(+.f64 6 (+.f64 (/.f64 12 (*.f64 x x)) (-.f64 (/.f64 -12 x) (/.f64 12 (pow.f64 x 3)))))
(+.f64 6 (+.f64 (/.f64 12 (*.f64 x x)) (+.f64 (/.f64 -12 x) (/.f64 -12 (pow.f64 x 3)))))
(+.f64 6 (+.f64 (*.f64 (/.f64 12 x) (+.f64 (/.f64 1 x) -1)) (/.f64 -12 (pow.f64 x 3))))
-1
(-.f64 (*.f64 2 x) 1)
(fma.f64 2 x -1)
(fma.f64 x 2 -1)
(-.f64 (+.f64 (*.f64 2 x) (*.f64 -2 (pow.f64 x 2))) 1)
(+.f64 (fma.f64 2 x (*.f64 (*.f64 x x) -2)) -1)
(fma.f64 x 2 (fma.f64 (*.f64 x x) -2 -1))
(fma.f64 x (*.f64 x -2) (fma.f64 x 2 -1))
(fma.f64 x (fma.f64 x -2 2) -1)
(-.f64 (+.f64 (*.f64 2 (pow.f64 x 3)) (+.f64 (*.f64 2 x) (*.f64 -2 (pow.f64 x 2)))) 1)
(+.f64 (fma.f64 2 (pow.f64 x 3) (fma.f64 2 x (*.f64 (*.f64 x x) -2))) -1)
(fma.f64 2 (pow.f64 x 3) (fma.f64 x 2 (fma.f64 (*.f64 x x) -2 -1)))
(fma.f64 2 (+.f64 x (pow.f64 x 3)) (fma.f64 x (*.f64 x -2) -1))
(fma.f64 x (fma.f64 x -2 2) (fma.f64 2 (pow.f64 x 3) -1))
1
(-.f64 1 (*.f64 2 (/.f64 1 x)))
(-.f64 1 (/.f64 2 x))
(+.f64 1 (/.f64 -2 x))
(-.f64 (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))) (*.f64 2 (/.f64 1 x)))
(-.f64 (+.f64 1 (/.f64 2 (*.f64 x x))) (/.f64 2 x))
(+.f64 1 (+.f64 (/.f64 (/.f64 2 x) x) (/.f64 -2 x)))
(-.f64 (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(+.f64 1 (-.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3)))))
(+.f64 (+.f64 1 (/.f64 (/.f64 2 x) x)) (-.f64 (/.f64 -2 x) (/.f64 2 (pow.f64 x 3))))
(+.f64 (/.f64 (/.f64 2 x) x) (-.f64 (-.f64 1 (/.f64 2 x)) (/.f64 2 (pow.f64 x 3))))
(+.f64 1 (+.f64 (/.f64 (/.f64 2 x) x) (+.f64 (/.f64 -2 x) (/.f64 -2 (pow.f64 x 3)))))
1
(-.f64 1 (*.f64 2 (/.f64 1 x)))
(-.f64 1 (/.f64 2 x))
(+.f64 1 (/.f64 -2 x))
(-.f64 (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))) (*.f64 2 (/.f64 1 x)))
(-.f64 (+.f64 1 (/.f64 2 (*.f64 x x))) (/.f64 2 x))
(+.f64 1 (+.f64 (/.f64 (/.f64 2 x) x) (/.f64 -2 x)))
(-.f64 (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(+.f64 1 (-.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3)))))
(+.f64 (+.f64 1 (/.f64 (/.f64 2 x) x)) (-.f64 (/.f64 -2 x) (/.f64 2 (pow.f64 x 3))))
(+.f64 (/.f64 (/.f64 2 x) x) (-.f64 (-.f64 1 (/.f64 2 x)) (/.f64 2 (pow.f64 x 3))))
(+.f64 1 (+.f64 (/.f64 (/.f64 2 x) x) (+.f64 (/.f64 -2 x) (/.f64 -2 (pow.f64 x 3)))))

localize12.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (-.f64 x -1) (*.f64 -4 (sqrt.f64 x)))
✓0.0b
(*.f64 -6 (+.f64 (-.f64 x -1) (*.f64 -4 (sqrt.f64 x))))
Compiler

Compiled 32 to 21 computations (34.4% saved)

series3.0ms (0.1%)

Counts
2 → 6
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(*.f64 -6 (+.f64 (-.f64 x -1) (*.f64 -4 (sqrt.f64 x))))
1.0ms
x
@0
(*.f64 -6 (+.f64 (-.f64 x -1) (*.f64 -4 (sqrt.f64 x))))
0.0ms
x
@-inf
(*.f64 -6 (+.f64 (-.f64 x -1) (*.f64 -4 (sqrt.f64 x))))
0.0ms
x
@-inf
(+.f64 (-.f64 x -1) (*.f64 -4 (sqrt.f64 x)))
0.0ms
x
@inf
(+.f64 (-.f64 x -1) (*.f64 -4 (sqrt.f64 x)))

rewrite185.0ms (3.6%)

Algorithm
1×batch-egg-rewrite
Rules
976×prod-diff_binary64
476×log-prod_binary64
391×fma-def_binary64
275×pow2_binary64
224×fma-neg_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01027
122623
2301221
Stop Event
1×node limit
Counts
2 → 129
Calls
Call 1
Inputs
(*.f64 -6 (+.f64 (-.f64 x -1) (*.f64 -4 (sqrt.f64 x))))
(+.f64 (-.f64 x -1) (*.f64 -4 (sqrt.f64 x)))
Outputs
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(*.f64 -4 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 1/4) (*.f64 (pow.f64 x 1/4) (sqrt.f64 x)) (neg.f64 (+.f64 -1 (*.f64 4 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 x 3) 1) (/.f64 1 (fma.f64 x x (fma.f64 x -1 1))) (*.f64 -4 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 x x -1) (/.f64 1 (+.f64 x -1)) (*.f64 -4 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (pow.f64 x 1/4) 3) (pow.f64 x 1/4) (+.f64 1 (*.f64 -4 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (pow.f64 x 1/4) 3) (pow.f64 x 1/4) (neg.f64 (+.f64 -1 (*.f64 4 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -4 (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -4 (pow.f64 x 1/4)) (pow.f64 x 1/4) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 x) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)) (+.f64 1 (*.f64 -4 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 x) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)) (neg.f64 (+.f64 -1 (*.f64 4 (sqrt.f64 x)))))))))

simplify9.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
1×*-commutative_binary64
1×1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0512
1812
Stop Event
1×saturated
Counts
135 → 133
Calls
Call 1
Inputs
-6
(*.f64 -6 x)
(*.f64 -6 x)
1
x
x
Outputs
-6
(*.f64 -6 x)
(*.f64 -6 x)
1
x
x

localize19.0ms (0.4%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(fma.f64 4 (sqrt.f64 x) x)
✓0.0b
(/.f64 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))
✓0.1b
(*.f64 (/.f64 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) (+.f64 x -1))
Compiler

Compiled 45 to 29 computations (35.6% saved)

series3.0ms (0.1%)

Counts
2 → 6
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(*.f64 (/.f64 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) (+.f64 x -1))
0.0ms
x
@0
(*.f64 (/.f64 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) (+.f64 x -1))
0.0ms
x
@inf
(*.f64 (/.f64 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) (+.f64 x -1))
0.0ms
x
@-inf
(/.f64 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))
0.0ms
x
@inf
(/.f64 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))

rewrite83.0ms (1.6%)

Algorithm
1×batch-egg-rewrite
Rules
544×log-prod_binary64
426×prod-diff_binary64
319×pow2_binary64
253×fma-def_binary64
222×pow1/3_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01232
126732
2347130
Stop Event
1×node limit
Counts
2 → 112
Calls
Call 1
Inputs
(*.f64 (/.f64 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) (+.f64 x -1))
(/.f64 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (fma.f64 6 x -6) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x (*.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) 1/6)) (/.f64 -6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) (/.f64 x (*.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 x (*.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) 1/6)) 1) (*.f64 (/.f64 -6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 6 x -6) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 6 x -6) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 6 x -6) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 6 x -6) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 6 x -6) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 6 (/.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) (fma.f64 6 x -6)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x -1) (*.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (pow.f64 x 3)) (*.f64 (*.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) 1/6) (-.f64 (fma.f64 x x 1) (*.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x x -1) (*.f64 (*.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) 1/6) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 6 x -6) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))) (#(struct:change 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(sqrt.f64 x) x) 1) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))) 2) (*.f64 (cbrt.f64 (/.f64 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))) x) (/.f64 -6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))) (/.f64 -6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))) (*.f64 (sqrt.f64 (/.f64 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))) -1) (/.f64 x (*.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))) (*.f64 (sqrt.f64 (/.f64 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))) x) (/.f64 -6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -6 (/.f64 1 (+.f64 (fma.f64 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(sqrt.f64 x) x) 1))) 2)) (cbrt.f64 (/.f64 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))) (/.f64 -6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 (/.f64 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))) (sqrt.f64 (/.f64 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))) (/.f64 -6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1 (pow.f64 (cbrt.f64 (/.f64 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))) 2)) (cbrt.f64 (/.f64 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))) (/.f64 x (*.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1 (sqrt.f64 (/.f64 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))) (sqrt.f64 (/.f64 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))) (/.f64 x (*.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) (sqrt.f64 x)) (sqrt.f64 x) (/.f64 -6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (/.f64 -6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 6 (/.f64 1 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))) (pow.f64 (cbrt.f64 (/.f64 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))) 2) (cbrt.f64 (/.f64 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))) (sqrt.f64 (/.f64 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -6 (/.f64 1 (+.f64 -1 (neg.f64 (fma.f64 4 (sqrt.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) 6)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 6 (+.f64 1 (pow.f64 (fma.f64 4 (sqrt.f64 x) x) 3))) (+.f64 (pow.f64 (fma.f64 4 (sqrt.f64 x) x) 2) (-.f64 1 (fma.f64 4 (sqrt.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 6 (+.f64 (pow.f64 (fma.f64 4 (sqrt.f64 x) x) 2) -1)) (fma.f64 4 (sqrt.f64 x) (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 36 (pow.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) 1/6) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) 1/6) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 36 (pow.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 6) (log1p.f64 (fma.f64 4 (sqrt.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log.f64 6) (log1p.f64 (fma.f64 4 (sqrt.f64 x) x))) 1))))))

simplify12.0ms (0.2%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0512
Stop Event
1×saturated
Counts
118 → 115
Calls
Call 1
Inputs
-6
6
6
6
(/.f64 6 x)
(/.f64 6 x)
Outputs
-6
6
6
6
(/.f64 6 x)
(/.f64 6 x)

eval235.0ms (4.6%)

Compiler

Compiled 10015 to 7409 computations (26% saved)

prune97.0ms (1.9%)

Pruning

19 alts after pruning (16 fresh and 3 done)

PrunedKeptTotal
New5599568
Fresh3710
Picked101
Done235
Total56519584
Error
0b
Counts
584 → 19
Alt Table
Click to see full alt table
StatusErrorProgram
33.2b
-6
✓32.8b
(*.f64 -6 (+.f64 (-.f64 x -1) (*.f64 -4 (sqrt.f64 x))))
▶62.0b
(*.f64 -6 x)
0.2b
(*.f64 (+.f64 x -1) (*.f64 6 (/.f64 1 (+.f64 (+.f64 (*.f64 4 (sqrt.f64 x)) x) 1))))
✓0.0b
(*.f64 6 (/.f64 (+.f64 x -1) (+.f64 (+.f64 (*.f64 4 (sqrt.f64 x)) x) 1)))
31.6b
(+.f64 6 (/.f64 -12 x))
▶0.1b
(*.f64 (/.f64 6 (+.f64 (+.f64 (*.f64 4 (sqrt.f64 x)) x) 1)) (+.f64 x -1))
▶32.1b
(*.f64 (/.f64 6 x) (+.f64 (-.f64 x -1) (*.f64 -4 (sqrt.f64 x))))
2.9b
(*.f64 6 (pow.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) -1))
▶31.6b
(*.f64 6 (+.f64 1 (/.f64 -2 x)))
32.7b
6
▶32.8b
(*.f64 -6 (-.f64 x (+.f64 -1 (*.f64 4 (sqrt.f64 x)))))
0.3b
(*.f64 (/.f64 6 (+.f64 (*.f64 (sqrt.f64 x) (+.f64 4 (sqrt.f64 x))) 1)) (+.f64 x -1))
32.0b
(-.f64 (*.f64 12 x) 6)
2.9b
(/.f64 6 (/.f64 (+.f64 x 1) (-.f64 x 1)))
46.9b
(*.f64 (/.f64 (fma.f64 6 x -6) (*.f64 x (+.f64 x -14))) (+.f64 (-.f64 x -1) (*.f64 -4 (sqrt.f64 x))))
31.7b
(*.f64 (+.f64 x -1) (*.f64 6 (/.f64 1 x)))
✓31.9b
(*.f64 (+.f64 x -1) 6)
3.1b
(/.f64 1 (/.f64 (+.f64 x 1) (fma.f64 6 x -6)))
Compiler

Compiled 354 to 284 computations (19.8% saved)

localize19.0ms (0.4%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (*.f64 4 (sqrt.f64 x)) x)
✓0.0b
(/.f64 6 (+.f64 (+.f64 (*.f64 4 (sqrt.f64 x)) x) 1))
✓0.1b
(*.f64 (/.f64 6 (+.f64 (+.f64 (*.f64 4 (sqrt.f64 x)) x) 1)) (+.f64 x -1))
Compiler

Compiled 53 to 35 computations (34% saved)

series6.0ms (0.1%)

Counts
2 → 6
Calls

6 calls:

TimeVariablePointExpression
4.0ms
x
@-inf
(*.f64 (/.f64 6 (+.f64 (+.f64 (*.f64 4 (sqrt.f64 x)) x) 1)) (+.f64 x -1))
0.0ms
x
@0
(*.f64 (/.f64 6 (+.f64 (+.f64 (*.f64 4 (sqrt.f64 x)) x) 1)) (+.f64 x -1))
0.0ms
x
@0
(/.f64 6 (+.f64 (+.f64 (*.f64 4 (sqrt.f64 x)) x) 1))
0.0ms
x
@inf
(*.f64 (/.f64 6 (+.f64 (+.f64 (*.f64 4 (sqrt.f64 x)) x) 1)) (+.f64 x -1))
0.0ms
x
@-inf
(/.f64 6 (+.f64 (+.f64 (*.f64 4 (sqrt.f64 x)) x) 1))

rewrite94.0ms (1.8%)

Algorithm
1×batch-egg-rewrite
Rules
638×log-prod_binary64
545×fma-def_binary64
324×fma-neg_binary64
251×pow1/3_binary64
246×log1p-udef_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01332
129832
2412530
Stop Event
1×node limit
Counts
2 → 110
Calls
Call 1
Inputs
(*.f64 (/.f64 6 (+.f64 (+.f64 (*.f64 4 (sqrt.f64 x)) x) 1)) (+.f64 x -1))
(/.f64 6 (+.f64 (+.f64 (*.f64 4 (sqrt.f64 x)) x) 1))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))) (cbrt.f64 (exp.f64 (/.f64 6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 6 (/.f64 1 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))) (pow.f64 (cbrt.f64 (/.f64 6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))) 2) (cbrt.f64 (/.f64 6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))) (sqrt.f64 (/.f64 6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -6 (/.f64 1 (neg.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))) 6)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 6 (+.f64 1 (pow.f64 (fma.f64 4 (sqrt.f64 x) x) 3))) (+.f64 (pow.f64 (fma.f64 4 (sqrt.f64 x) x) 2) (-.f64 1 (fma.f64 4 (sqrt.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 6 (+.f64 (pow.f64 (fma.f64 4 (sqrt.f64 x) x) 2) -1)) (fma.f64 4 (sqrt.f64 x) (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)) 1/6) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)) 1/6) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 36 (pow.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 6) (log1p.f64 (fma.f64 4 (sqrt.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log.f64 6) (log1p.f64 (fma.f64 4 (sqrt.f64 x) x))) 1))))))

simplify19.0ms (0.4%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0512
Stop Event
1×saturated
Counts
116 → 113
Calls
Call 1
Inputs
-6
6
6
6
(/.f64 6 x)
(/.f64 6 x)
Outputs
-6
6
6
6
(/.f64 6 x)
(/.f64 6 x)

localize5.0ms (0.1%)

Compiler

Compiled 6 to 4 computations (33.3% saved)

localize20.0ms (0.4%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.2b
(*.f64 6 (+.f64 1 (/.f64 -2 x)))
Compiler

Compiled 20 to 16 computations (20% saved)

series3.0ms (0.1%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@0
(*.f64 6 (+.f64 1 (/.f64 -2 x)))
1.0ms
x
@inf
(*.f64 6 (+.f64 1 (/.f64 -2 x)))
1.0ms
x
@-inf
(*.f64 6 (+.f64 1 (/.f64 -2 x)))

rewrite81.0ms (1.6%)

Algorithm
1×batch-egg-rewrite
Rules
836×pow1_binary64
788×add-log-exp_binary64
787×log1p-expm1-u_binary64
787×expm1-log1p-u_binary64
776×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0810
11767
221607
Stop Event
1×node limit
Counts
1 → 20
Calls
Call 1
Inputs
(*.f64 6 (+.f64 1 (/.f64 -2 x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 6 (/.f64 -12 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 6 (*.f64 (/.f64 -12 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -12 x) 6)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 6 (/.f64 -12 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 216 (pow.f64 (/.f64 -12 x) 3)) (+.f64 36 (-.f64 (*.f64 (/.f64 -12 x) (/.f64 -12 x)) (*.f64 6 (/.f64 -12 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 36 (*.f64 (/.f64 -12 x) (/.f64 -12 x))) (-.f64 6 (/.f64 -12 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (/.f64 -8 (pow.f64 x 3))) 6) (+.f64 1 (-.f64 (/.f64 4 (*.f64 x x)) (/.f64 -2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (/.f64 4 (*.f64 x x))) 6) (-.f64 1 (/.f64 -2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 6 (+.f64 1 (/.f64 -8 (pow.f64 x 3)))) (+.f64 1 (-.f64 (/.f64 4 (*.f64 x x)) (/.f64 -2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 6 (-.f64 1 (/.f64 4 (*.f64 x x)))) (-.f64 1 (/.f64 -2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 6 (/.f64 -12 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 6 (/.f64 -12 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 6 (/.f64 -12 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 6 (/.f64 -12 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 6 (/.f64 -12 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 6 (/.f64 -12 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 6 (/.f64 -12 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 6 (/.f64 -12 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 6 (/.f64 -12 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 6 (/.f64 -12 x))))))))

simplify25.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
16×fma-def_binary64
11×sub-neg_binary64
6×+-commutative_binary64
4×*-commutative_binary64
4×associate-+l-_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01069
12069
23169
34769
46269
58069
69869
711369
812069
Stop Event
1×saturated
Counts
32 → 23
Calls
Call 1
Inputs
(/.f64 -12 x)
(-.f64 6 (*.f64 12 (/.f64 1 x)))
(-.f64 6 (*.f64 12 (/.f64 1 x)))
(-.f64 6 (*.f64 12 (/.f64 1 x)))
6
(-.f64 6 (*.f64 12 (/.f64 1 x)))
(-.f64 6 (*.f64 12 (/.f64 1 x)))
(-.f64 6 (*.f64 12 (/.f64 1 x)))
6
(-.f64 6 (*.f64 12 (/.f64 1 x)))
(-.f64 6 (*.f64 12 (/.f64 1 x)))
(-.f64 6 (*.f64 12 (/.f64 1 x)))
Outputs
(/.f64 -12 x)
(-.f64 6 (*.f64 12 (/.f64 1 x)))
(-.f64 6 (/.f64 12 x))
(+.f64 6 (/.f64 -12 x))
(-.f64 6 (*.f64 12 (/.f64 1 x)))
(-.f64 6 (/.f64 12 x))
(+.f64 6 (/.f64 -12 x))
(-.f64 6 (*.f64 12 (/.f64 1 x)))
(-.f64 6 (/.f64 12 x))
(+.f64 6 (/.f64 -12 x))
6
(-.f64 6 (*.f64 12 (/.f64 1 x)))
(-.f64 6 (/.f64 12 x))
(+.f64 6 (/.f64 -12 x))
(-.f64 6 (*.f64 12 (/.f64 1 x)))
(-.f64 6 (/.f64 12 x))
(+.f64 6 (/.f64 -12 x))
(-.f64 6 (*.f64 12 (/.f64 1 x)))
(-.f64 6 (/.f64 12 x))
(+.f64 6 (/.f64 -12 x))
6
(-.f64 6 (*.f64 12 (/.f64 1 x)))
(-.f64 6 (/.f64 12 x))
(+.f64 6 (/.f64 -12 x))
(-.f64 6 (*.f64 12 (/.f64 1 x)))
(-.f64 6 (/.f64 12 x))
(+.f64 6 (/.f64 -12 x))
(-.f64 6 (*.f64 12 (/.f64 1 x)))
(-.f64 6 (/.f64 12 x))
(+.f64 6 (/.f64 -12 x))

localize29.0ms (0.6%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 x (+.f64 -1 (*.f64 4 (sqrt.f64 x))))
✓0.0b
(*.f64 -6 (-.f64 x (+.f64 -1 (*.f64 4 (sqrt.f64 x)))))
Compiler

Compiled 35 to 23 computations (34.3% saved)

series5.0ms (0.1%)

Counts
2 → 6
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@0
(*.f64 -6 (-.f64 x (+.f64 -1 (*.f64 4 (sqrt.f64 x)))))
1.0ms
x
@-inf
(*.f64 -6 (-.f64 x (+.f64 -1 (*.f64 4 (sqrt.f64 x)))))
1.0ms
x
@-inf
(-.f64 x (+.f64 -1 (*.f64 4 (sqrt.f64 x))))
1.0ms
x
@inf
(*.f64 -6 (-.f64 x (+.f64 -1 (*.f64 4 (sqrt.f64 x)))))
1.0ms
x
@0
(-.f64 x (+.f64 -1 (*.f64 4 (sqrt.f64 x))))

rewrite129.0ms (2.5%)

Algorithm
1×batch-egg-rewrite
Rules
700×prod-diff_binary64
462×log-prod_binary64
358×fma-def_binary64
293×pow-prod-down_binary64
274×pow2_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01027
122123
2285423
Stop Event
1×node limit
Counts
2 → 186
Calls
Call 1
Inputs
(*.f64 -6 (-.f64 x (+.f64 -1 (*.f64 4 (sqrt.f64 x)))))
(-.f64 x (+.f64 -1 (*.f64 4 (sqrt.f64 x))))
Outputs
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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 4 (sqrt.f64 x) -1) 2)) (/.f64 1 (+.f64 x (fma.f64 4 (sqrt.f64 x) -1))) (+.f64 (fma.f64 -4 (sqrt.f64 x) 1) (fma.f64 4 (sqrt.f64 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (cbrt.f64 (+.f64 x 1)) (*.f64 -4 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (cbrt.f64 (+.f64 x 1)) (*.f64 (neg.f64 (sqrt.f64 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (cbrt.f64 (+.f64 x 1)) (*.f64 (neg.f64 (cbrt.f64 (*.f64 x 16))) (cbrt.f64 (*.f64 4 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (cbrt.f64 (+.f64 x 1)) (*.f64 (neg.f64 (*.f64 2 (pow.f64 x 1/4))) (*.f64 2 (pow.f64 x 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 -4 (sqrt.f64 x) 1)) 2) (cbrt.f64 (fma.f64 -4 (sqrt.f64 x) 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(sqrt.f64 (pow.f64 x 3/2)) (pow.f64 x 1/4) (*.f64 (fma.f64 -4 (sqrt.f64 x) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 x) (cbrt.f64 x)) (pow.f64 x 1/6) (fma.f64 -4 (sqrt.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 x) (cbrt.f64 x)) (pow.f64 x 1/6) (*.f64 (fma.f64 -4 (sqrt.f64 x) 1) 1))))))

simplify11.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
1×*-commutative_binary64
1×1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0512
1812
Stop Event
1×saturated
Counts
192 → 190
Calls
Call 1
Inputs
-6
(*.f64 -6 x)
(*.f64 -6 x)
1
x
x
Outputs
-6
(*.f64 -6 x)
(*.f64 -6 x)
1
x
x

localize17.0ms (0.3%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (-.f64 x -1) (*.f64 -4 (sqrt.f64 x)))
✓0.1b
(*.f64 (/.f64 6 x) (+.f64 (-.f64 x -1) (*.f64 -4 (sqrt.f64 x))))
Compiler

Compiled 37 to 24 computations (35.1% saved)

series2.0ms (0%)

Counts
1 → 3
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@0
(*.f64 (/.f64 6 x) (+.f64 (-.f64 x -1) (*.f64 -4 (sqrt.f64 x))))
1.0ms
x
@-inf
(*.f64 (/.f64 6 x) (+.f64 (-.f64 x -1) (*.f64 -4 (sqrt.f64 x))))
1.0ms
x
@inf
(*.f64 (/.f64 6 x) (+.f64 (-.f64 x -1) (*.f64 -4 (sqrt.f64 x))))

rewrite75.0ms (1.5%)

Algorithm
1×batch-egg-rewrite
Rules
568×log-prod_binary64
433×fma-def_binary64
315×pow2_binary64
238×fma-neg_binary64
220×pow1/3_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01118
125516
2363616
Stop Event
1×node limit
Counts
1 → 93
Calls
Call 1
Inputs
(*.f64 (/.f64 6 x) (+.f64 (-.f64 x -1) (*.f64 -4 (sqrt.f64 x))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 6 x) (+.f64 x 1)) (*.f64 (/.f64 6 x) (*.f64 -4 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 6 x) (*.f64 -4 (sqrt.f64 x))) (*.f64 (/.f64 6 x) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 6 x) (+.f64 (fma.f64 -4 (sqrt.f64 x) x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (/.f64 6 x) (+.f64 x 1)) 1) (*.f64 (*.f64 (/.f64 6 x) (*.f64 -4 (sqrt.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 6 x)) (+.f64 (fma.f64 -4 (sqrt.f64 x) x) 1))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 6 x)) (+.f64 (fma.f64 -4 (sqrt.f64 x) x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 6 x)) (+.f64 (fma.f64 -4 (sqrt.f64 x) x) 1)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 6 x)) (+.f64 (fma.f64 -4 (sqrt.f64 x) x) 1)))))))) 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simplify9.0ms (0.2%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046
Stop Event
1×saturated
Counts
96 → 95
Calls
Call 1
Inputs
(/.f64 6 x)
6
6
Outputs
(/.f64 6 x)
6
6

eval261.0ms (5.1%)

Compiler

Compiled 12370 to 8870 computations (28.3% saved)

prune78.0ms (1.5%)

Pruning

20 alts after pruning (12 fresh and 8 done)

PrunedKeptTotal
New5704574
Fresh3811
Picked011
Done077
Total57320593
Error
0b
Counts
593 → 20
Alt Table
Click to see full alt table
StatusErrorProgram
33.2b
-6
✓32.8b
(*.f64 -6 (+.f64 (-.f64 x -1) (*.f64 -4 (sqrt.f64 x))))
✓62.0b
(*.f64 -6 x)
0.2b
(*.f64 (+.f64 x -1) (*.f64 6 (/.f64 1 (+.f64 (+.f64 (*.f64 4 (sqrt.f64 x)) x) 1))))
✓0.0b
(*.f64 6 (/.f64 (+.f64 x -1) (+.f64 (+.f64 (*.f64 4 (sqrt.f64 x)) x) 1)))
32.1b
(/.f64 (*.f64 (-.f64 1 (/.f64 4 (*.f64 x x))) 6) (-.f64 1 (/.f64 -2 x)))
32.1b
(+.f64 (*.f64 (/.f64 6 x) (+.f64 x 1)) (*.f64 (/.f64 6 x) (*.f64 -4 (sqrt.f64 x))))
31.7b
(*.f64 (+.f64 x -1) (*.f64 6 (/.f64 1 x)))
31.6b
(+.f64 (/.f64 -12 x) 6)
2.9b
(*.f64 6 (pow.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) -1))
✓32.1b
(*.f64 (/.f64 6 x) (+.f64 (-.f64 x -1) (*.f64 -4 (sqrt.f64 x))))
✓31.6b
(*.f64 6 (+.f64 1 (/.f64 -2 x)))
32.7b
6
✓31.9b
(*.f64 (+.f64 x -1) 6)
32.0b
(-.f64 (*.f64 12 x) 6)
2.9b
(/.f64 6 (/.f64 (+.f64 x 1) (-.f64 x 1)))
46.9b
(*.f64 (/.f64 (fma.f64 6 x -6) (*.f64 x (+.f64 x -14))) (+.f64 (-.f64 x -1) (*.f64 -4 (sqrt.f64 x))))
✓0.1b
(*.f64 (/.f64 6 (+.f64 (+.f64 (*.f64 4 (sqrt.f64 x)) x) 1)) (+.f64 x -1))
✓32.8b
(*.f64 -6 (-.f64 x (+.f64 -1 (*.f64 4 (sqrt.f64 x)))))
3.1b
(/.f64 1 (/.f64 (+.f64 x 1) (fma.f64 6 x -6)))
Compiler

Compiled 212 to 171 computations (19.3% saved)

regimes38.0ms (0.8%)

Counts
38 → 1
Calls
Call 1
Inputs
6
6
6
-6
6
(*.f64 -6 x)
(+.f64 (/.f64 -12 x) 6)
(*.f64 (+.f64 x -1) 6)
(+.f64 6 (/.f64 -12 x))
(-.f64 (*.f64 12 x) 6)
(*.f64 6 (+.f64 1 (/.f64 -2 x)))
(/.f64 (*.f64 6 (-.f64 x 1)) x)
(/.f64 (*.f64 6 (-.f64 x 1)) 1)
(/.f64 6 (/.f64 (+.f64 x 1) (-.f64 x 1)))
(*.f64 6 (/.f64 (+.f64 x -1) (+.f64 x 1)))
(*.f64 (+.f64 x -1) (*.f64 6 (/.f64 1 x)))
(*.f64 (+.f64 x -1) (*.f64 6 (/.f64 1 (+.f64 x 1))))
(/.f64 (*.f64 (-.f64 1 (/.f64 4 (*.f64 x x))) 6) (-.f64 1 (/.f64 -2 x)))
(/.f64 (fma.f64 x -6 6) (-.f64 -1 x))
(*.f64 -6 (-.f64 x (+.f64 -1 (*.f64 4 (sqrt.f64 x)))))
(/.f64 1 (/.f64 (+.f64 x 1) (fma.f64 6 x -6)))
(*.f64 -6 (+.f64 (-.f64 x -1) (*.f64 -4 (sqrt.f64 x))))
(*.f64 6 (pow.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) -1))
(*.f64 (/.f64 6 x) (+.f64 (-.f64 x -1) (*.f64 -4 (sqrt.f64 x))))
(*.f64 (/.f64 6 (+.f64 (+.f64 (*.f64 4 (sqrt.f64 x)) x) 1)) (+.f64 x -1))
(*.f64 6 (/.f64 (+.f64 x -1) (+.f64 (+.f64 (*.f64 4 (sqrt.f64 x)) x) 1)))
(/.f64 (*.f64 6 (-.f64 x 1)) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))
(+.f64 (*.f64 (/.f64 6 x) (+.f64 x 1)) (*.f64 (/.f64 6 x) (*.f64 -4 (sqrt.f64 x))))
(*.f64 (+.f64 x -1) (*.f64 6 (/.f64 1 (+.f64 (+.f64 (*.f64 4 (sqrt.f64 x)) x) 1))))
(*.f64 6 (/.f64 (+.f64 x -1) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))
(*.f64 (/.f64 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) (+.f64 x -1))
(*.f64 (/.f64 6 (+.f64 (*.f64 (sqrt.f64 x) (+.f64 4 (sqrt.f64 x))) 1)) (+.f64 x -1))
(*.f64 6 (/.f64 (+.f64 x -1) (+.f64 (*.f64 (sqrt.f64 x) (+.f64 4 (sqrt.f64 x))) 1)))
(*.f64 (+.f64 x -1) (*.f64 6 (/.f64 1 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))
(*.f64 (/.f64 (fma.f64 6 x -6) (*.f64 x (+.f64 x -14))) (+.f64 (-.f64 x -1) (*.f64 -4 (sqrt.f64 x))))
(/.f64 (fma.f64 x -6 6) (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x)))
(/.f64 (fma.f64 x -6 6) (-.f64 -1 (*.f64 (sqrt.f64 x) (+.f64 4 (sqrt.f64 x)))))
(*.f64 (/.f64 (fma.f64 6 x -6) (-.f64 (pow.f64 (-.f64 x -1) 2) (*.f64 x 16))) (+.f64 (-.f64 x -1) (*.f64 -4 (sqrt.f64 x))))
Outputs
(*.f64 6 (/.f64 (+.f64 x -1) (+.f64 (+.f64 (*.f64 4 (sqrt.f64 x)) x) 1)))
Calls

3 calls:

16.0ms
x
6.0ms
(/.f64 (*.f64 6 (-.f64 x 1)) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))
5.0ms
(/.f64 (*.f64 6 (-.f64 x 1)) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))
Results
ErrorSegmentsBranch
0.0b1x
0.0b1(/.f64 (*.f64 6 (-.f64 x 1)) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))
0.0b1(/.f64 (*.f64 6 (-.f64 x 1)) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))
Compiler

Compiled 409 to 303 computations (25.9% saved)

regimes21.0ms (0.4%)

Counts
25 → 1
Calls
Call 1
Inputs
6
6
6
-6
6
(*.f64 -6 x)
(+.f64 (/.f64 -12 x) 6)
(*.f64 (+.f64 x -1) 6)
(+.f64 6 (/.f64 -12 x))
(-.f64 (*.f64 12 x) 6)
(*.f64 6 (+.f64 1 (/.f64 -2 x)))
(/.f64 (*.f64 6 (-.f64 x 1)) x)
(/.f64 (*.f64 6 (-.f64 x 1)) 1)
(/.f64 6 (/.f64 (+.f64 x 1) (-.f64 x 1)))
(*.f64 6 (/.f64 (+.f64 x -1) (+.f64 x 1)))
(*.f64 (+.f64 x -1) (*.f64 6 (/.f64 1 x)))
(*.f64 (+.f64 x -1) (*.f64 6 (/.f64 1 (+.f64 x 1))))
(/.f64 (*.f64 (-.f64 1 (/.f64 4 (*.f64 x x))) 6) (-.f64 1 (/.f64 -2 x)))
(/.f64 (fma.f64 x -6 6) (-.f64 -1 x))
(*.f64 -6 (-.f64 x (+.f64 -1 (*.f64 4 (sqrt.f64 x)))))
(/.f64 1 (/.f64 (+.f64 x 1) (fma.f64 6 x -6)))
(*.f64 -6 (+.f64 (-.f64 x -1) (*.f64 -4 (sqrt.f64 x))))
(*.f64 6 (pow.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) -1))
(*.f64 (/.f64 6 x) (+.f64 (-.f64 x -1) (*.f64 -4 (sqrt.f64 x))))
(*.f64 (/.f64 6 (+.f64 (+.f64 (*.f64 4 (sqrt.f64 x)) x) 1)) (+.f64 x -1))
Outputs
(*.f64 (/.f64 6 (+.f64 (+.f64 (*.f64 4 (sqrt.f64 x)) x) 1)) (+.f64 x -1))
Calls

1 calls:

12.0ms
x
Results
ErrorSegmentsBranch
0.1b1x
Compiler

Compiled 180 to 140 computations (22.2% saved)

regimes27.0ms (0.5%)

Counts
24 → 2
Calls
Call 1
Inputs
6
6
6
-6
6
(*.f64 -6 x)
(+.f64 (/.f64 -12 x) 6)
(*.f64 (+.f64 x -1) 6)
(+.f64 6 (/.f64 -12 x))
(-.f64 (*.f64 12 x) 6)
(*.f64 6 (+.f64 1 (/.f64 -2 x)))
(/.f64 (*.f64 6 (-.f64 x 1)) x)
(/.f64 (*.f64 6 (-.f64 x 1)) 1)
(/.f64 6 (/.f64 (+.f64 x 1) (-.f64 x 1)))
(*.f64 6 (/.f64 (+.f64 x -1) (+.f64 x 1)))
(*.f64 (+.f64 x -1) (*.f64 6 (/.f64 1 x)))
(*.f64 (+.f64 x -1) (*.f64 6 (/.f64 1 (+.f64 x 1))))
(/.f64 (*.f64 (-.f64 1 (/.f64 4 (*.f64 x x))) 6) (-.f64 1 (/.f64 -2 x)))
(/.f64 (fma.f64 x -6 6) (-.f64 -1 x))
(*.f64 -6 (-.f64 x (+.f64 -1 (*.f64 4 (sqrt.f64 x)))))
(/.f64 1 (/.f64 (+.f64 x 1) (fma.f64 6 x -6)))
(*.f64 -6 (+.f64 (-.f64 x -1) (*.f64 -4 (sqrt.f64 x))))
(*.f64 6 (pow.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) -1))
(*.f64 (/.f64 6 x) (+.f64 (-.f64 x -1) (*.f64 -4 (sqrt.f64 x))))
Outputs
(*.f64 -6 (+.f64 (-.f64 x -1) (*.f64 -4 (sqrt.f64 x))))
(*.f64 (/.f64 6 x) (+.f64 (-.f64 x -1) (*.f64 -4 (sqrt.f64 x))))
Calls

1 calls:

21.0ms
x
Results
ErrorSegmentsBranch
1.6b2x
Compiler

Compiled 166 to 130 computations (21.7% saved)

bsearch24.0ms (0.5%)

Algorithm
1×binary-search
Steps
TimeLeftRight
24.0ms
7.357464671497419e-7
0.5243713124160303
Compiler

Compiled 19 to 15 computations (21.1% saved)

regimes17.0ms (0.3%)

Counts
23 → 1
Calls
Call 1
Inputs
6
6
6
-6
6
(*.f64 -6 x)
(+.f64 (/.f64 -12 x) 6)
(*.f64 (+.f64 x -1) 6)
(+.f64 6 (/.f64 -12 x))
(-.f64 (*.f64 12 x) 6)
(*.f64 6 (+.f64 1 (/.f64 -2 x)))
(/.f64 (*.f64 6 (-.f64 x 1)) x)
(/.f64 (*.f64 6 (-.f64 x 1)) 1)
(/.f64 6 (/.f64 (+.f64 x 1) (-.f64 x 1)))
(*.f64 6 (/.f64 (+.f64 x -1) (+.f64 x 1)))
(*.f64 (+.f64 x -1) (*.f64 6 (/.f64 1 x)))
(*.f64 (+.f64 x -1) (*.f64 6 (/.f64 1 (+.f64 x 1))))
(/.f64 (*.f64 (-.f64 1 (/.f64 4 (*.f64 x x))) 6) (-.f64 1 (/.f64 -2 x)))
(/.f64 (fma.f64 x -6 6) (-.f64 -1 x))
(*.f64 -6 (-.f64 x (+.f64 -1 (*.f64 4 (sqrt.f64 x)))))
(/.f64 1 (/.f64 (+.f64 x 1) (fma.f64 6 x -6)))
(*.f64 -6 (+.f64 (-.f64 x -1) (*.f64 -4 (sqrt.f64 x))))
(*.f64 6 (pow.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) -1))
Outputs
(*.f64 6 (pow.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) -1))
Calls

1 calls:

11.0ms
x
Results
ErrorSegmentsBranch
2.9b1x
Compiler

Compiled 154 to 122 computations (20.8% saved)

regimes17.0ms (0.3%)

Counts
22 → 1
Calls
Call 1
Inputs
6
6
6
-6
6
(*.f64 -6 x)
(+.f64 (/.f64 -12 x) 6)
(*.f64 (+.f64 x -1) 6)
(+.f64 6 (/.f64 -12 x))
(-.f64 (*.f64 12 x) 6)
(*.f64 6 (+.f64 1 (/.f64 -2 x)))
(/.f64 (*.f64 6 (-.f64 x 1)) x)
(/.f64 (*.f64 6 (-.f64 x 1)) 1)
(/.f64 6 (/.f64 (+.f64 x 1) (-.f64 x 1)))
(*.f64 6 (/.f64 (+.f64 x -1) (+.f64 x 1)))
(*.f64 (+.f64 x -1) (*.f64 6 (/.f64 1 x)))
(*.f64 (+.f64 x -1) (*.f64 6 (/.f64 1 (+.f64 x 1))))
(/.f64 (*.f64 (-.f64 1 (/.f64 4 (*.f64 x x))) 6) (-.f64 1 (/.f64 -2 x)))
(/.f64 (fma.f64 x -6 6) (-.f64 -1 x))
(*.f64 -6 (-.f64 x (+.f64 -1 (*.f64 4 (sqrt.f64 x)))))
(/.f64 1 (/.f64 (+.f64 x 1) (fma.f64 6 x -6)))
(*.f64 -6 (+.f64 (-.f64 x -1) (*.f64 -4 (sqrt.f64 x))))
Outputs
(/.f64 6 (/.f64 (+.f64 x 1) (-.f64 x 1)))
Calls

1 calls:

10.0ms
x
Results
ErrorSegmentsBranch
2.9b1x
Compiler

Compiled 143 to 113 computations (21% saved)

regimes17.0ms (0.3%)

Counts
13 → 2
Calls
Call 1
Inputs
6
6
6
-6
6
(*.f64 -6 x)
(+.f64 (/.f64 -12 x) 6)
(*.f64 (+.f64 x -1) 6)
(+.f64 6 (/.f64 -12 x))
(-.f64 (*.f64 12 x) 6)
(*.f64 6 (+.f64 1 (/.f64 -2 x)))
(/.f64 (*.f64 6 (-.f64 x 1)) x)
(/.f64 (*.f64 6 (-.f64 x 1)) 1)
Outputs
(*.f64 (+.f64 x -1) 6)
(+.f64 (/.f64 -12 x) 6)
Calls

1 calls:

14.0ms
x
Results
ErrorSegmentsBranch
2.9b2x
Compiler

Compiled 52 to 42 computations (19.2% saved)

bsearch22.0ms (0.4%)

Algorithm
1×binary-search
Steps
TimeLeftRight
22.0ms
0.5243713124160303
33203.65591628297
Compiler

Compiled 19 to 15 computations (21.1% saved)

regimes12.0ms (0.2%)

Counts
7 → 2
Calls
Call 1
Inputs
6
6
6
-6
6
(*.f64 -6 x)
(+.f64 (/.f64 -12 x) 6)
Outputs
-6
(+.f64 (/.f64 -12 x) 6)
Calls

1 calls:

10.0ms
x
Results
ErrorSegmentsBranch
2.9b2x
Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch22.0ms (0.4%)

Algorithm
1×binary-search
Steps
TimeLeftRight
21.0ms
0.5243713124160303
33203.65591628297
Compiler

Compiled 19 to 15 computations (21.1% saved)

regimes11.0ms (0.2%)

Counts
6 → 2
Calls
Call 1
Inputs
6
6
6
-6
6
(*.f64 -6 x)
Outputs
-6
6
Calls

1 calls:

10.0ms
x
Results
ErrorSegmentsBranch
2.9b2x
Compiler

Compiled 11 to 9 computations (18.2% saved)

bsearch22.0ms (0.4%)

Algorithm
1×binary-search
Steps
TimeLeftRight
21.0ms
0.5243713124160303
33203.65591628297
Compiler

Compiled 19 to 15 computations (21.1% saved)

regimes4.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

Counts
3 → 1
Calls
Call 1
Inputs
6
6
6
Outputs
6
Calls

1 calls:

3.0ms
x
Results
ErrorSegmentsBranch
32.7b1x
Compiler

Compiled 6 to 5 computations (16.7% saved)

simplify8.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
8×*-commutative_binary64
6×+-commutative_binary64
2×sub-neg_binary64
1×1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042153
161153
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(*.f64 6 (/.f64 (+.f64 x -1) (+.f64 (+.f64 (*.f64 4 (sqrt.f64 x)) x) 1)))
(*.f64 (/.f64 6 (+.f64 (+.f64 (*.f64 4 (sqrt.f64 x)) x) 1)) (+.f64 x -1))
(if (<=.f64 x 6948928912715387/9444732965739290427392) (*.f64 -6 (+.f64 (-.f64 x -1) (*.f64 -4 (sqrt.f64 x)))) (*.f64 (/.f64 6 x) (+.f64 (-.f64 x -1) (*.f64 -4 (sqrt.f64 x)))))
(*.f64 6 (pow.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) -1))
(/.f64 6 (/.f64 (+.f64 x 1) (-.f64 x 1)))
(if (<=.f64 x 590389611800153/1125899906842624) (*.f64 (+.f64 x -1) 6) (+.f64 (/.f64 -12 x) 6))
(if (<=.f64 x 590389611800153/1125899906842624) -6 (+.f64 (/.f64 -12 x) 6))
(if (<=.f64 x 590389611800153/1125899906842624) -6 6)
6
Outputs
(*.f64 6 (/.f64 (+.f64 x -1) (+.f64 (+.f64 (*.f64 4 (sqrt.f64 x)) x) 1)))
(*.f64 6 (/.f64 (+.f64 x -1) (+.f64 (+.f64 x (*.f64 4 (sqrt.f64 x))) 1)))
(*.f64 (/.f64 6 (+.f64 (+.f64 (*.f64 4 (sqrt.f64 x)) x) 1)) (+.f64 x -1))
(*.f64 (+.f64 x -1) (/.f64 6 (+.f64 (+.f64 x (*.f64 4 (sqrt.f64 x))) 1)))
(if (<=.f64 x 6948928912715387/9444732965739290427392) (*.f64 -6 (+.f64 (-.f64 x -1) (*.f64 -4 (sqrt.f64 x)))) (*.f64 (/.f64 6 x) (+.f64 (-.f64 x -1) (*.f64 -4 (sqrt.f64 x)))))
(if (<=.f64 x 6948928912715387/9444732965739290427392) (*.f64 -6 (+.f64 (+.f64 x 1) (*.f64 (sqrt.f64 x) -4))) (*.f64 (+.f64 (+.f64 x 1) (*.f64 (sqrt.f64 x) -4)) (/.f64 6 x)))
(*.f64 6 (pow.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) -1))
(*.f64 6 (pow.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) -1))
(/.f64 6 (/.f64 (+.f64 x 1) (-.f64 x 1)))
(/.f64 6 (/.f64 (+.f64 x 1) (+.f64 x -1)))
(if (<=.f64 x 590389611800153/1125899906842624) (*.f64 (+.f64 x -1) 6) (+.f64 (/.f64 -12 x) 6))
(if (<=.f64 x 590389611800153/1125899906842624) (*.f64 6 (+.f64 x -1)) (+.f64 6 (/.f64 -12 x)))
(if (<=.f64 x 590389611800153/1125899906842624) -6 (+.f64 (/.f64 -12 x) 6))
(if (<=.f64 x 590389611800153/1125899906842624) -6 (+.f64 6 (/.f64 -12 x)))
(if (<=.f64 x 590389611800153/1125899906842624) -6 6)
6
Compiler

Compiled 114 to 91 computations (20.2% saved)

soundness0.0ms (0%)

end75.0ms (1.5%)

Compiler

Compiled 106 to 81 computations (23.6% saved)

Profiling

Loading profile data...