Details

Time bar (total: 7.6s)

analyze7.0ms (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)

sample1.4s (19%)

Results
1.4s8256×body256valid
1.0ms9×body256invalid

preprocess93.0ms (1.2%)

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)

simplify84.0ms (1.1%)

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)))

eval2.0ms (0%)

Compiler

Compiled 27 to 20 computations (25.9% saved)

prune3.0ms (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)

localize33.0ms (0.4%)

Local error

Found 3 expressions with local error:

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

series12.0ms (0.2%)

Counts
3 → 18
Calls

9 calls:

TimeVariablePointExpression
3.0ms
x
@-inf
(/.f64 (*.f64 6 (-.f64 x 1)) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))
2.0ms
x
@0
(/.f64 (*.f64 6 (-.f64 x 1)) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))
2.0ms
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)))
1.0ms
x
@inf
(*.f64 6 (-.f64 x 1))

rewrite109.0ms (1.4%)

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
01240
127236
2379532
Stop Event
1×node limit
Counts
3 → 162
Calls
Call 1
Inputs
(/.f64 (*.f64 6 (-.f64 x 1)) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))
(*.f64 6 (-.f64 x 1))
(+.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) ((x *.f64 6 (*.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 (fma.f64 6 x -6) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x -1) (*.f64 6 (/.f64 1 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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 (fma.f64 6 x -6) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (fma.f64 6 x -6) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 6 x -6) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 6 x -6) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))) 2) (cbrt.f64 (/.f64 (fma.f64 6 x -6) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))))) (#(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 (+.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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(sqrt.f64 x) x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fma.f64 6 x -6) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fma.f64 6 x -6) 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 (fma.f64 6 x -6) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 6 x -6) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (fma.f64 6 x -6) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.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 0 (fma.f64 6 x -6))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 6) -6)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 6 x) -6)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 6 x -6))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 6 x -6)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 6 x -6)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 6 x -6)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 6 x -6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 x 3) -1) 6) (+.f64 (fma.f64 x x 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x x -1) 6) (-.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 6 (+.f64 (pow.f64 x 3) -1)) (+.f64 (fma.f64 x x 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 6 (fma.f64 x x -1)) (-.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 6 x -6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 6 x -6) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 6 x -6) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 6 x -6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 6 x -6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 6 x -6) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 6 x -6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 6 x -6))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 6 x -6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 6 x -6)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 6 x -6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 6 x -6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 6 x -6)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 6 x -6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 6 -6)))))
((#(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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#<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))))))

simplify12.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0760
11360
21560
Stop Event
1×saturated
Counts
180 → 168
Calls
Call 1
Inputs
-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
x
x
Outputs
-6
6
6
-6
(-.f64 (*.f64 6 x) 6)
(fma.f64 6 x -6)
(-.f64 (*.f64 6 x) 6)
(fma.f64 6 x -6)
(-.f64 (*.f64 6 x) 6)
(fma.f64 6 x -6)
(*.f64 6 x)
(-.f64 (*.f64 6 x) 6)
(fma.f64 6 x -6)
(-.f64 (*.f64 6 x) 6)
(fma.f64 6 x -6)
(-.f64 (*.f64 6 x) 6)
(fma.f64 6 x -6)
(*.f64 6 x)
(-.f64 (*.f64 6 x) 6)
(fma.f64 6 x -6)
(-.f64 (*.f64 6 x) 6)
(fma.f64 6 x -6)
(-.f64 (*.f64 6 x) 6)
(fma.f64 6 x -6)
1
x
x

localize22.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 -1 (fma.f64 4 (sqrt.f64 x) x))
✓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)

series15.0ms (0.2%)

Counts
4 → 20
Calls

12 calls:

TimeVariablePointExpression
3.0ms
x
@0
(/.f64 (fma.f64 x -6 6) (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x)))
2.0ms
x
@-inf
(/.f64 (fma.f64 x -6 6) (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x)))
2.0ms
x
@inf
(/.f64 (fma.f64 x -6 6) (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x)))
2.0ms
x
@-inf
(-.f64 -1 (fma.f64 4 (sqrt.f64 x) x))
1.0ms
x
@0
(fma.f64 4 (sqrt.f64 x) x)

rewrite127.0ms (1.7%)

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
01139
123739
2286339
Stop Event
1×node limit
Counts
4 → 178
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)
(-.f64 -1 (fma.f64 4 (sqrt.f64 x) x))
Outputs
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((x fma.f64 (*.f64 -1 (cbrt.f64 (pow.f64 (fma.f64 4 (sqrt.f64 x) x) 2))) (cbrt.f64 (fma.f64 4 (sqrt.f64 x) x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1 (sqrt.f64 (fma.f64 4 (sqrt.f64 x) x))) (sqrt.f64 (fma.f64 4 (sqrt.f64 x) x)) -1)))))

simplify27.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
6×fma-def_binary64
3×+-commutative_binary64
3×sub-neg_binary64
2×*-commutative_binary64
2×distribute-rgt-in_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0884
11266
21666
31766
41966
52366
62766
73566
84066
94266
Stop Event
1×saturated
Counts
198 → 187
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
-1
(*.f64 -1 x)
(*.f64 -1 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
-1
(*.f64 -1 x)
(neg.f64 x)
(*.f64 -1 x)
(neg.f64 x)

eval249.0ms (3.3%)

Compiler

Compiled 6650 to 4829 computations (27.4% saved)

prune69.0ms (0.9%)

Pruning

14 alts after pruning (13 fresh and 1 done)

PrunedKeptTotal
New34213355
Fresh000
Picked101
Done011
Total34314357
Error
0b
Counts
357 → 14
Alt Table
Click to see full alt table
StatusErrorProgram
35.1b
-6
▶2.3b
(/.f64 (fma.f64 x -6 6) (-.f64 -1 x))
26.5b
(/.f64 (cbrt.f64 (pow.f64 (fma.f64 6 x -6) 3)) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))
0.0b
(*.f64 6 (/.f64 1 (/.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) (+.f64 x -1))))
19.2b
(/.f64 (*.f64 6 (-.f64 x 1)) (*.f64 (-.f64 (pow.f64 (-.f64 x -1) 2) (*.f64 x 16)) (/.f64 1 (+.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))
30.1b
6
▶19.2b
(/.f64 (*.f64 6 (-.f64 x 1)) (/.f64 (-.f64 (pow.f64 (-.f64 x -1) 2) (*.f64 x 16)) (+.f64 (-.f64 x -1) (*.f64 -4 (sqrt.f64 x)))))
▶0.0b
(*.f64 6 (/.f64 (+.f64 x -1) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))
✓0.1b
(/.f64 (*.f64 6 (-.f64 x 1)) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))
19.2b
(*.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))))
29.1b
(/.f64 (*.f64 6 (-.f64 x 1)) x)
▶33.9b
(/.f64 (*.f64 6 (-.f64 x 1)) 1)
29.2b
(/.f64 (*.f64 6 x) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))
Compiler

Compiled 369 to 296 computations (19.8% saved)

localize35.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)
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)

series8.0ms (0.1%)

Counts
3 → 9
Calls

9 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))
1.0ms
x
@-inf
(*.f64 6 (/.f64 (+.f64 x -1) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))
1.0ms
x
@0
(*.f64 6 (/.f64 (+.f64 x -1) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))

rewrite112.0ms (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
01245
126045
2329443
Stop Event
1×node limit
Counts
3 → 116
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)))
(+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)
Outputs
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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 (fma.f64 4 (sqrt.f64 x) x) 2) (+.f64 (fma.f64 4 (sqrt.f64 x) x) -1)) (/.f64 1 (+.f64 (fma.f64 4 (sqrt.f64 x) x) -1)))))) (#(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)) (pow.f64 (cbrt.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (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 (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 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)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 4 (sqrt.f64 x) x) 2) -1) (/.f64 1 (+.f64 (fma.f64 4 (sqrt.f64 x) x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 4 (sqrt.f64 x) x) 2) (-.f64 1 (fma.f64 4 (sqrt.f64 x) x))) (+.f64 1 (pow.f64 (fma.f64 4 (sqrt.f64 x) x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) -1) (+.f64 (pow.f64 (fma.f64 4 (sqrt.f64 x) x) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.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 (pow.f64 (fma.f64 4 (sqrt.f64 x) x) 3)) (+.f64 1 (-.f64 (pow.f64 (fma.f64 4 (sqrt.f64 x) x) 2) (fma.f64 4 (sqrt.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.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 /.f64 (neg.f64 (+.f64 1 (pow.f64 (fma.f64 4 (sqrt.f64 x) x) 3))) (neg.f64 (+.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 (neg.f64 (+.f64 (pow.f64 (fma.f64 4 (sqrt.f64 x) x) 2) -1)) (neg.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (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 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 (+.f64 (pow.f64 (fma.f64 4 (sqrt.f64 x) x) 2) (-.f64 1 (fma.f64 4 (sqrt.f64 x) x))) (+.f64 1 (pow.f64 (fma.f64 4 (sqrt.f64 x) x) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) -1) (+.f64 (pow.f64 (fma.f64 4 (sqrt.f64 x) x) 2) -1)) -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 (exp.f64 (*.f64 4 (sqrt.f64 x))) (exp.f64 (+.f64 x 1))))))) (#(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 (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 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) (+.f64 4 (sqrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 4 (sqrt.f64 x) x) 1 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 4 (sqrt.f64 x) x) 1)))) (#(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 (cbrt.f64 (fma.f64 4 (sqrt.f64 x) x)) (pow.f64 (cbrt.f64 (fma.f64 4 (sqrt.f64 x) x)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 4 (sqrt.f64 x) x)) 2) (cbrt.f64 (fma.f64 4 (sqrt.f64 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 4 (sqrt.f64 x) x)) 2) (*.f64 (cbrt.f64 (fma.f64 4 (sqrt.f64 x) x)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 4 (sqrt.f64 x) x)) (sqrt.f64 (fma.f64 4 (sqrt.f64 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 4 (sqrt.f64 x) x)) (*.f64 (sqrt.f64 (fma.f64 4 (sqrt.f64 x) x)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 4 (sqrt.f64 x))) 2) (cbrt.f64 (*.f64 4 (sqrt.f64 x))) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 4 (sqrt.f64 x))) (sqrt.f64 (*.f64 4 (sqrt.f64 x))) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 4 (cbrt.f64 x)) (pow.f64 x 1/6) (+.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))))))

simplify46.0ms (0.6%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
059
189
Stop Event
1×saturated
Counts
125 → 121
Calls
Call 1
Inputs
-1
1
1
-6
6
6
1
x
x
Outputs
-1
1
1
-6
6
6
1
x
x

localize119.0ms (1.6%)

Local error

Found 1 expressions with local error:

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

Compiled 19 to 15 computations (21.1% saved)

localize18.0ms (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)

series2.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite73.0ms (1%)

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))))))))

simplify67.0ms (0.9%)

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)))

localize35.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)
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)

series7.0ms (0.1%)

Counts
2 → 6
Calls

6 calls:

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

rewrite107.0ms (1.4%)

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
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((#(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))))))

simplify16.0ms (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)

localize46.0ms (0.6%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (-.f64 x -1) (*.f64 -4 (sqrt.f64 x)))
✓0.0b
(-.f64 (pow.f64 (-.f64 x -1) 2) (*.f64 x 16))
✓0.1b
(/.f64 (*.f64 6 (-.f64 x 1)) (/.f64 (-.f64 (pow.f64 (-.f64 x -1) 2) (*.f64 x 16)) (+.f64 (-.f64 x -1) (*.f64 -4 (sqrt.f64 x)))))
✓18.4b
(/.f64 (-.f64 (pow.f64 (-.f64 x -1) 2) (*.f64 x 16)) (+.f64 (-.f64 x -1) (*.f64 -4 (sqrt.f64 x))))
Compiler

Compiled 92 to 67 computations (27.2% saved)

series12.0ms (0.2%)

Counts
4 → 21
Calls

12 calls:

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

rewrite134.0ms (1.8%)

Algorithm
1×batch-egg-rewrite
Rules
436×fma-neg_binary64
316×expm1-udef_binary64
316×log1p-udef_binary64
214×add-sqr-sqrt_binary64
205×pow1_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
019103
143752
2663052
Stop Event
1×node limit
Counts
4 → 351
Calls
Call 1
Inputs
(/.f64 (-.f64 (pow.f64 (-.f64 x -1) 2) (*.f64 x 16)) (+.f64 (-.f64 x -1) (*.f64 -4 (sqrt.f64 x))))
(/.f64 (*.f64 6 (-.f64 x 1)) (/.f64 (-.f64 (pow.f64 (-.f64 x -1) 2) (*.f64 x 16)) (+.f64 (-.f64 x -1) (*.f64 -4 (sqrt.f64 x)))))
(-.f64 (pow.f64 (-.f64 x -1) 2) (*.f64 x 16))
(+.f64 (-.f64 x -1) (*.f64 -4 (sqrt.f64 x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (+.f64 1 (*.f64 -4 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (neg.f64 (+.f64 -1 (*.f64 -4 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (-.f64 1 (*.f64 -4 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x 1) (*.f64 -4 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x 1) (neg.f64 (*.f64 -4 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x 1) (*.f64 -1 (*.f64 -4 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x 1) (*.f64 (neg.f64 (sqrt.f64 x)) -4))))) (#(struct:change #<rule egg-rr> (2) ((x +.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 +.f64 (+.f64 x 1) (*.f64 (neg.f64 (sqrt.f64 (*.f64 -4 (sqrt.f64 x)))) (sqrt.f64 (*.f64 -4 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -4 (sqrt.f64 x)) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 -4 (sqrt.f64 x) (+.f64 x 1)) (fma.f64 (neg.f64 (sqrt.f64 x)) -4 (*.f64 -4 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 -4 (sqrt.f64 x) (+.f64 x 1)) (fma.f64 4 (sqrt.f64 x) (*.f64 -4 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 -4 (sqrt.f64 x) (+.f64 x 1)) (fma.f64 (neg.f64 (*.f64 -4 (sqrt.f64 x))) 1 (*.f64 -4 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 -4 (sqrt.f64 x) (+.f64 x 1)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 -4 (sqrt.f64 x)))) (cbrt.f64 (*.f64 x 16)) (*.f64 -4 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 -4 (sqrt.f64 x) (+.f64 x 1)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 -4 (sqrt.f64 x)))) (sqrt.f64 (*.f64 -4 (sqrt.f64 x))) (*.f64 -4 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (pow.f64 (+.f64 x 1) 2) (fma.f64 -4 (sqrt.f64 x) (+.f64 x 1))) (neg.f64 (*.f64 16 (/.f64 x 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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 (pow.f64 (+.f64 x 1) 2) (*.f64 x -16))) (fma.f64 -4 (sqrt.f64 x) (+.f64 x 1)) (neg.f64 (*.f64 16 (/.f64 x (fma.f64 -4 (sqrt.f64 x) (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (fma.f64 x x -1) (+.f64 (pow.f64 x 3) -1)) (fma.f64 x x (+.f64 x 1)) (neg.f64 (*.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)))))))))

simplify183.0ms (2.4%)

Algorithm
1×egg-herbie
Rules
1082×sqr-pow_binary64
635×fma-def_binary64
560×cube-prod_binary64
552×fabs-mul_binary64
523×pow-sqr_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
013105
12891
24785
37285
414385
535585
6110685
7232985
8271785
9290985
10311985
11343185
12384085
13432185
14489385
15558985
16643585
17682685
18711485
19739085
20746285
21749885
Stop Event
1×node limit
Counts
372 → 276
Calls
Call 1
Inputs
1
x
x
-6
6
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)))
1
x
x
Outputs
1
x
x
-6
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)
1
x
x

eval468.0ms (6.2%)

Compiler

Compiled 16654 to 12318 computations (26% saved)

prune179.0ms (2.4%)

Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New73911750
Fresh718
Picked101
Done505
Total75212764
Error
0b
Counts
764 → 12
Alt Table
Click to see full alt table
StatusErrorProgram
35.1b
-6
30.1b
6
0.2b
(/.f64 (+.f64 x -1) (*.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) 1/6))
33.9b
(-.f64 (*.f64 12 x) 6)
19.2b
(*.f64 (fma.f64 -4 (sqrt.f64 x) (+.f64 x 1)) (/.f64 (+.f64 (*.f64 6 x) -6) (+.f64 (pow.f64 (+.f64 x 1) 2) (*.f64 x -16))))
▶29.0b
(+.f64 6 (/.f64 -12 x))
▶34.4b
(/.f64 (*.f64 6 (-.f64 x 1)) (/.f64 (+.f64 (*.f64 -14 x) 1) (+.f64 (-.f64 x -1) (*.f64 -4 (sqrt.f64 x)))))
2.2b
(*.f64 6 (/.f64 (+.f64 x -1) (+.f64 x 1)))
▶29.1b
(/.f64 (*.f64 6 (-.f64 x 1)) x)
▶0.0b
(*.f64 6 (/.f64 (+.f64 x -1) (+.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))
▶29.2b
(/.f64 (*.f64 6 x) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))
Compiler

Compiled 268 to 214 computations (20.1% saved)

localize37.0ms (0.5%)

Local error

Found 4 expressions with local error:

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

series8.0ms (0.1%)

Counts
4 → 11
Calls

12 calls:

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

rewrite138.0ms (1.8%)

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
01352
129152
2394750
Stop Event
1×node limit
Counts
4 → 218
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)
(+.f64 (+.f64 (*.f64 4 (sqrt.f64 x)) x) 1)
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (fma.f64 x 6 -6) (+.f64 x (fma.f64 4 (sqrt.f64 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 x (fma.f64 4 (sqrt.f64 x) 1))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 x 6 -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 (fma.f64 x 6 -6) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 x 6 -6) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 x 6 -6) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)) (fma.f64 x 6 -6)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 6 (/.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)) (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x 6 -6) (+.f64 x (fma.f64 4 (sqrt.f64 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 x (fma.f64 4 (sqrt.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (fma.f64 x 6 -6) (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))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (fma.f64 x 6 -6) (sqrt.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))) (sqrt.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (neg.f64 x)) 6) (+.f64 -1 (neg.f64 (fma.f64 4 (sqrt.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 6 (+.f64 1 (neg.f64 x))) (+.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 x (fma.f64 4 (sqrt.f64 x) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 x 6 -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 (fma.f64 x 6 -6) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (fma.f64 x 6 -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)) (fma.f64 x 6 -6)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (fma.f64 x 6 -6) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (fma.f64 x 6 -6) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 x 6 -6) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fma.f64 x 6 -6) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 x 6 -6) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 x 6 -6) (+.f64 x (fma.f64 4 (sqrt.f64 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))))))
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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 4 (sqrt.f64 x) x)) (*.f64 (sqrt.f64 (fma.f64 4 (sqrt.f64 x) x)) 1) 1)))) (#(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) 4) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 1/4) (*.f64 (pow.f64 x 1/4) 4) (*.f64 (+.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)) (+.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 (+.f64 x 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 64 (pow.f64 x 3/2) (pow.f64 x 3)) (/.f64 1 (fma.f64 x (-.f64 x (sqrt.f64 (*.f64 x 16))) (*.f64 x 16))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 x 16) (*.f64 x x)) (/.f64 1 (-.f64 (sqrt.f64 (*.f64 x 16)) x)) 1)))) (#(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 (cbrt.f64 (+.f64 x 1)) 2) (cbrt.f64 (+.f64 x 1)) (sqrt.f64 (*.f64 x 16)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1)) (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)) (fma.f64 4 (sqrt.f64 x) 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 (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)) (*.f64 (+.f64 x 1) 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 4 (pow.f64 x 1/4)) (pow.f64 x 1/4) (*.f64 (+.f64 x 1) 1))))))

simplify18.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0511
1811
Stop Event
1×saturated
Counts
229 → 223
Calls
Call 1
Inputs
-1
1
1
-6
6
6
x
x
1
x
x
Outputs
-1
1
1
-6
6
6
x
x
1
x
x

localize10.0ms (0.1%)

Compiler

Compiled 12 to 9 computations (25% saved)

localize15.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiled 19 to 14 computations (26.3% saved)

series3.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite78.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
830×pow1_binary64
782×add-log-exp_binary64
781×log1p-expm1-u_binary64
781×expm1-log1p-u_binary64
768×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
115410
2209110
Stop Event
1×node limit
Counts
1 → 41
Calls
Call 1
Inputs
(/.f64 (*.f64 6 (-.f64 x 1)) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (/.f64 6 x) (+.f64 x -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 6 (/.f64 (+.f64 x -1) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 6 (/.f64 1 (/.f64 x (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 6 (*.f64 (+.f64 x -1) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 6 x) (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x -1) (*.f64 6 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 x 6) -6) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 6 x) (+.f64 x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 x 6) -6)) 2) (*.f64 (cbrt.f64 (+.f64 (*.f64 x 6) -6)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 6 x) (+.f64 x -1))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 6 x) (+.f64 x -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 6 x) (+.f64 x -1))) 2) (cbrt.f64 (*.f64 (/.f64 6 x) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (*.f64 x 6) -6)) (*.f64 (sqrt.f64 (+.f64 (*.f64 x 6) -6)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 6 x) (+.f64 x -1))) (sqrt.f64 (*.f64 (/.f64 6 x) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 x -1) -6) (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (+.f64 (*.f64 x 6) -6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x -1) 1) (/.f64 6 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 6 x) (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 x 6) -6)) 2) 1) (/.f64 (cbrt.f64 (+.f64 (*.f64 x 6) -6)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 x 6) -6)) 1) (/.f64 (sqrt.f64 (+.f64 (*.f64 x 6) -6)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 6 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (+.f64 x -1) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (+.f64 (*.f64 x 6) -6) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x -1) (pow.f64 (cbrt.f64 x) 2)) (/.f64 6 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 x 6) -6)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (*.f64 (/.f64 6 x) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 x 6) -6)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (+.f64 (*.f64 x 6) -6)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 6 (sqrt.f64 x)) (/.f64 (+.f64 x -1) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x -1) (sqrt.f64 x)) (/.f64 6 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (+.f64 (*.f64 x 6) -6) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 x 6) -6)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (+.f64 (*.f64 x 6) -6)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 6 x) (+.f64 x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 6 x) (+.f64 x -1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 6 x) (+.f64 x -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 6 x) (+.f64 x -1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (+.f64 (*.f64 x 6) -6)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 (*.f64 x 6) -6) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 6 x) (+.f64 x -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 6 x) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 6 x) (+.f64 x -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 (*.f64 x 6) -6) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 6 x) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 6 x) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 6 x) (+.f64 x -1))))))))

simplify30.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
22×fma-def_binary64
15×sub-neg_binary64
8×+-commutative_binary64
8×fma-neg_binary64
7×*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0969
11969
23069
34869
46669
59169
612169
714969
816769
917069
Stop Event
1×saturated
Counts
53 → 45
Calls
Call 1
Inputs
(/.f64 -6 x)
(-.f64 6 (*.f64 6 (/.f64 1 x)))
(-.f64 6 (*.f64 6 (/.f64 1 x)))
(-.f64 6 (*.f64 6 (/.f64 1 x)))
6
(-.f64 6 (*.f64 6 (/.f64 1 x)))
(-.f64 6 (*.f64 6 (/.f64 1 x)))
(-.f64 6 (*.f64 6 (/.f64 1 x)))
6
(-.f64 6 (*.f64 6 (/.f64 1 x)))
(-.f64 6 (*.f64 6 (/.f64 1 x)))
(-.f64 6 (*.f64 6 (/.f64 1 x)))
Outputs
(/.f64 -6 x)
(-.f64 6 (*.f64 6 (/.f64 1 x)))
(-.f64 6 (/.f64 6 x))
(+.f64 6 (/.f64 -6 x))
(-.f64 6 (*.f64 6 (/.f64 1 x)))
(-.f64 6 (/.f64 6 x))
(+.f64 6 (/.f64 -6 x))
(-.f64 6 (*.f64 6 (/.f64 1 x)))
(-.f64 6 (/.f64 6 x))
(+.f64 6 (/.f64 -6 x))
6
(-.f64 6 (*.f64 6 (/.f64 1 x)))
(-.f64 6 (/.f64 6 x))
(+.f64 6 (/.f64 -6 x))
(-.f64 6 (*.f64 6 (/.f64 1 x)))
(-.f64 6 (/.f64 6 x))
(+.f64 6 (/.f64 -6 x))
(-.f64 6 (*.f64 6 (/.f64 1 x)))
(-.f64 6 (/.f64 6 x))
(+.f64 6 (/.f64 -6 x))
6
(-.f64 6 (*.f64 6 (/.f64 1 x)))
(-.f64 6 (/.f64 6 x))
(+.f64 6 (/.f64 -6 x))
(-.f64 6 (*.f64 6 (/.f64 1 x)))
(-.f64 6 (/.f64 6 x))
(+.f64 6 (/.f64 -6 x))
(-.f64 6 (*.f64 6 (/.f64 1 x)))
(-.f64 6 (/.f64 6 x))
(+.f64 6 (/.f64 -6 x))

localize32.0ms (0.4%)

Local error

Found 2 expressions with local error:

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

Compiled 37 to 24 computations (35.1% saved)

series6.0ms (0.1%)

Counts
1 → 3
Calls

3 calls:

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

rewrite89.0ms (1.2%)

Algorithm
1×batch-egg-rewrite
Rules
568×log-prod_binary64
415×fma-def_binary64
365×pow-prod-down_binary64
303×pow2_binary64
239×fma-neg_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01118
124616
2340416
Stop Event
1×node limit
Counts
1 → 51
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 0 (*.f64 6 (/.f64 x (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 6 (/.f64 x (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (*.f64 6 (/.f64 x (+.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 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 6 (/.f64 x (+.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 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 6 (/.f64 x (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 6 (/.f64 1 (/.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 6 (*.f64 x (/.f64 1 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 6 (/.f64 1 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 6 x) (/.f64 1 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 6 (/.f64 x (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 6 (/.f64 x (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 6 (/.f64 x (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))) (cbrt.f64 (pow.f64 (/.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)) (*.f64 6 x)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)) (*.f64 6 x)) -2)) (cbrt.f64 (*.f64 6 (/.f64 x (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 6 x)) 2) (*.f64 (cbrt.f64 (*.f64 6 x)) (/.f64 1 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 6 (/.f64 x (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))) (sqrt.f64 (*.f64 6 (/.f64 x (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 6 x)) (*.f64 (sqrt.f64 (*.f64 6 x)) (/.f64 1 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x -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))) (*.f64 6 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 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))) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 6 x)) 2) 1) (/.f64 (cbrt.f64 (*.f64 6 x)) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x 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(fma.f64 4 (sqrt.f64 x) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 6 (/.f64 x (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 6 (/.f64 x (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 6 (/.f64 x (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))) 1))))))

simplify18.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
046
156
Stop Event
1×saturated
Counts
54 → 53
Calls
Call 1
Inputs
(*.f64 6 x)
6
6
Outputs
(*.f64 6 x)
6
6

localize62.0ms (0.8%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(*.f64 6 (-.f64 x 1))
0.0b
(+.f64 (-.f64 x -1) (*.f64 -4 (sqrt.f64 x)))
✓0.1b
(/.f64 (+.f64 (*.f64 -14 x) 1) (+.f64 (-.f64 x -1) (*.f64 -4 (sqrt.f64 x))))
✓0.2b
(/.f64 (*.f64 6 (-.f64 x 1)) (/.f64 (+.f64 (*.f64 -14 x) 1) (+.f64 (-.f64 x -1) (*.f64 -4 (sqrt.f64 x)))))
Compiler

Compiled 74 to 53 computations (28.4% saved)

series11.0ms (0.1%)

Counts
2 → 6
Calls

6 calls:

TimeVariablePointExpression
2.0ms
x
@inf
(/.f64 (+.f64 (*.f64 -14 x) 1) (+.f64 (-.f64 x -1) (*.f64 -4 (sqrt.f64 x))))
2.0ms
x
@-inf
(/.f64 (+.f64 (*.f64 -14 x) 1) (+.f64 (-.f64 x -1) (*.f64 -4 (sqrt.f64 x))))
2.0ms
x
@-inf
(/.f64 (*.f64 6 (-.f64 x 1)) (/.f64 (+.f64 (*.f64 -14 x) 1) (+.f64 (-.f64 x -1) (*.f64 -4 (sqrt.f64 x)))))
2.0ms
x
@inf
(/.f64 (*.f64 6 (-.f64 x 1)) (/.f64 (+.f64 (*.f64 -14 x) 1) (+.f64 (-.f64 x -1) (*.f64 -4 (sqrt.f64 x)))))
2.0ms
x
@0
(/.f64 (*.f64 6 (-.f64 x 1)) (/.f64 (+.f64 (*.f64 -14 x) 1) (+.f64 (-.f64 x -1) (*.f64 -4 (sqrt.f64 x)))))

rewrite130.0ms (1.7%)

Algorithm
1×batch-egg-rewrite
Rules
537×fma-def_binary64
382×fma-neg_binary64
321×log1p-udef_binary64
320×expm1-udef_binary64
254×log-pow_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01747
138743
2547741
Stop Event
1×node limit
Counts
2 → 98
Calls
Call 1
Inputs
(/.f64 (*.f64 6 (-.f64 x 1)) (/.f64 (+.f64 (*.f64 -14 x) 1) (+.f64 (-.f64 x -1) (*.f64 -4 (sqrt.f64 x)))))
(/.f64 (+.f64 (*.f64 -14 x) 1) (+.f64 (-.f64 x -1) (*.f64 -4 (sqrt.f64 x))))
Outputs
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(/.f64 (fma.f64 x -14 1) (+.f64 (fma.f64 -4 (sqrt.f64 x) x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 x -14 1) (+.f64 (fma.f64 -4 (sqrt.f64 x) x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (fma.f64 x -14 1) (+.f64 (fma.f64 -4 (sqrt.f64 x) x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 x -14 1) (+.f64 (fma.f64 -4 (sqrt.f64 x) x) 1))) 1))))))

simplify17.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0712
11012
Stop Event
1×saturated
Counts
104 → 102
Calls
Call 1
Inputs
-6
(*.f64 -3/7 x)
(*.f64 -3/7 x)
1
-14
-14
Outputs
-6
(*.f64 -3/7 x)
(*.f64 -3/7 x)
1
-14
-14

eval347.0ms (4.6%)

Compiler

Compiled 12024 to 8820 computations (26.6% saved)

prune93.0ms (1.2%)

Pruning

13 alts after pruning (9 fresh and 4 done)

PrunedKeptTotal
New5896595
Fresh437
Picked011
Done134
Total59413607
Error
0b
Counts
607 → 13
Alt Table
Click to see full alt table
StatusErrorProgram
48.3b
(*.f64 (/.f64 (*.f64 6 x) (-.f64 (pow.f64 (+.f64 x 1) 2) (*.f64 x 16))) (-.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))
✓34.4b
(/.f64 (*.f64 6 (-.f64 x 1)) (/.f64 (+.f64 (*.f64 -14 x) 1) (+.f64 (-.f64 x -1) (*.f64 -4 (sqrt.f64 x)))))
▶0.2b
(/.f64 (+.f64 x -1) (*.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) 1/6))
▶2.2b
(*.f64 6 (/.f64 (+.f64 x -1) (+.f64 x 1)))
34.4b
(*.f64 (/.f64 (+.f64 x -1) (fma.f64 x -14 1)) (/.f64 6 (/.f64 1 (+.f64 (fma.f64 -4 (sqrt.f64 x) x) 1))))
▶33.9b
(-.f64 (*.f64 12 x) 6)
30.1b
6
▶30.2b
(/.f64 (*.f64 6 x) x)
✓29.0b
(+.f64 6 (/.f64 -12 x))
✓0.0b
(*.f64 6 (/.f64 (+.f64 x -1) (+.f64 (+.f64 (*.f64 4 (sqrt.f64 x)) x) 1)))
35.1b
-6
▶0.1b
(*.f64 (/.f64 6 (+.f64 (+.f64 (*.f64 4 (sqrt.f64 x)) x) 1)) (+.f64 x -1))
✓29.2b
(/.f64 (*.f64 6 x) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))
Compiler

Compiled 249 to 198 computations (20.5% saved)

localize21.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (+.f64 (*.f64 4 (sqrt.f64 x)) x) 1)
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)

series3.0ms (0%)

Counts
2 → 6
Calls

6 calls:

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

rewrite82.0ms (1.1%)

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))))))

simplify9.0ms (0.1%)

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%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 (*.f64 12 x) 6)
Compiler

Compiled 12 to 9 computations (25% saved)

series3.0ms (0%)

Counts
1 → 3
Calls

3 calls:

TimeVariablePointExpression
2.0ms
x
@0
(-.f64 (*.f64 12 x) 6)
0.0ms
x
@inf
(-.f64 (*.f64 12 x) 6)
0.0ms
x
@-inf
(-.f64 (*.f64 12 x) 6)

rewrite51.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
648×pow1_binary64
612×add-log-exp_binary64
612×log1p-expm1-u_binary64
612×expm1-log1p-u_binary64
603×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
065
11355
216025
Stop Event
1×node limit
Counts
1 → 32
Calls
Call 1
Inputs
(-.f64 (*.f64 12 x) 6)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 12 x) -6)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -6 (*.f64 12 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 12 x -6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 12 x -6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 12 x -6)) (pow.f64 (cbrt.f64 (fma.f64 12 x -6)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 12 x -6)) 2) (cbrt.f64 (fma.f64 12 x -6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 12 x -6)) (sqrt.f64 (fma.f64 12 x -6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 12 x) 3) -216) (/.f64 1 (+.f64 (pow.f64 (*.f64 12 x) 2) (+.f64 36 (*.f64 x 72)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 12 x) 2) -36) (/.f64 1 (fma.f64 12 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 12 x) 2) (+.f64 36 (*.f64 x 72))) (+.f64 (pow.f64 (*.f64 12 x) 3) -216)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 12 x 6) (+.f64 (pow.f64 (*.f64 12 x) 2) -36)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 12 x) 3) -216) (+.f64 (pow.f64 (*.f64 12 x) 2) (+.f64 36 (*.f64 x 72))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 12 x) 3) -216) (+.f64 (pow.f64 (*.f64 12 x) 2) (-.f64 36 (*.f64 (*.f64 12 x) -6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 12 x) 2) -36) (fma.f64 12 x 6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 12 x) 2) -36) (-.f64 (*.f64 12 x) -6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 12 x) 3) -216)) (neg.f64 (+.f64 (pow.f64 (*.f64 12 x) 2) (+.f64 36 (*.f64 x 72)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 12 x) 2) -36)) (neg.f64 (fma.f64 12 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 12 x -6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 12 x -6) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 12 x -6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 12 x -6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 12 x -6) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 12 x -6)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 12 x -6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 12 x -6)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 12 x -6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 12 x -6)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 12 x -6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 12 -6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 12 x) -6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 12 x)) 2) (cbrt.f64 (*.f64 12 x)) -6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 12 x)) (sqrt.f64 (*.f64 12 x)) -6)))))

simplify8.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
059
169
Stop Event
1×saturated
Counts
35 → 34
Calls
Call 1
Inputs
-6
(*.f64 12 x)
(*.f64 12 x)
Outputs
-6
(*.f64 12 x)
(*.f64 12 x)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.2b
(/.f64 (*.f64 6 x) x)
Compiler

Compiled 11 to 7 computations (36.4% saved)

series2.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite44.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
491×pow1_binary64
477×add-sqr-sqrt_binary64
467×add-log-exp_binary64
467×log1p-expm1-u_binary64
467×expm1-log1p-u_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
057
11081
214721
Stop Event
1×node limit
Counts
1 → 1
Calls
Call 1
Inputs
(/.f64 (*.f64 6 x) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x . 6)))))

simplify8.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0112
Stop Event
1×saturated
Counts
13 → 1
Calls
Call 1
Inputs
6
6
6
6
6
6
6
6
6
6
6
6
Outputs
6
6
6
6
6
6
6
6
6
6
6
6

localize12.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 6 (/.f64 (+.f64 x -1) (+.f64 x 1)))
✓0.0b
(/.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 (+.f64 x -1) (+.f64 x 1))
0.0ms
x
@inf
(/.f64 (+.f64 x -1) (+.f64 x 1))
0.0ms
x
@-inf
(/.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 6 (/.f64 (+.f64 x -1) (+.f64 x 1)))

rewrite74.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
603×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 (+.f64 x -1) (+.f64 x 1))
(*.f64 6 (/.f64 (+.f64 x -1) (+.f64 x 1)))
Outputs
((#(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))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x -1) (+.f64 x 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.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 (neg.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 x) (pow.f64 (/.f64 1 (neg.f64 (+.f64 x 1))) 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) (sqrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2) (sqrt.f64 (+.f64 x 1))) (/.f64 (cbrt.f64 (+.f64 x -1)) (sqrt.f64 (+.f64 x 1))))))) (#(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 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (fma.f64 x 6 -6) (+.f64 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 x 1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 x 6 -6) (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 x 6 -6) (+.f64 x 1))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 x 6 -6) (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 x 6 -6) (+.f64 x 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x 1) (fma.f64 x 6 -6)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 6 (/.f64 (+.f64 x 1) (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x 6 -6) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 x 6 -6)) (neg.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (fma.f64 x 6 -6) 1) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (fma.f64 x 6 -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 x 6 -6) (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 x) 6) (neg.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 6 (-.f64 1 x)) (neg.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 x 6 -6) (+.f64 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (-.f64 (log.f64 (fma.f64 x 6 -6)) (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 x 6 -6) (+.f64 x 1)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 x 6 -6) (+.f64 x 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (fma.f64 x 6 -6) (+.f64 x 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (fma.f64 x 6 -6) (+.f64 x 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x 1) (fma.f64 x 6 -6)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 (fma.f64 x 6 -6)) (log1p.f64 x))) 2)) (cbrt.f64 (-.f64 (log.f64 (fma.f64 x 6 -6)) (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log.f64 (fma.f64 x 6 -6)) (log1p.f64 x)))) (sqrt.f64 (-.f64 (log.f64 (fma.f64 x 6 -6)) (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (fma.f64 x 6 -6) (+.f64 x 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (fma.f64 x 6 -6) (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 x 6 -6) (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fma.f64 x 6 -6) (+.f64 x 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 x 6 -6) (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 x 6 -6) (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (fma.f64 x 6 -6)) (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log.f64 (fma.f64 x 6 -6)) (log1p.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (-.f64 (log.f64 (fma.f64 x 6 -6)) (log1p.f64 x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/3 (-.f64 (log.f64 (fma.f64 x 6 -6)) (log1p.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/2 (-.f64 (log.f64 (fma.f64 x 6 -6)) (log1p.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (-.f64 (log.f64 (fma.f64 x 6 -6)) (log1p.f64 x)) 1) 1))))))

simplify67.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
791×times-frac_binary64
609×fma-def_binary64
579×cancel-sign-sub-inv_binary64
544×associate-/l/_binary64
542×associate-*l/_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
049278
1152271
2406268
31146258
43537258
Stop Event
1×node limit
Counts
135 → 139
Calls
Call 1
Inputs
-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)))))
-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
-1
(-.f64 (*.f64 2 x) 1)
(fma.f64 2 x -1)
(-.f64 (+.f64 (*.f64 2 x) (*.f64 -2 (pow.f64 x 2))) 1)
(+.f64 (fma.f64 2 x (*.f64 -2 (*.f64 x x))) -1)
(fma.f64 2 x (fma.f64 -2 (*.f64 x x) -1))
(fma.f64 2 x (fma.f64 x (*.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 -2 (*.f64 x x)))) -1)
(fma.f64 2 (pow.f64 x 3) (fma.f64 2 x (fma.f64 -2 (*.f64 x x) -1)))
(fma.f64 2 (+.f64 x (pow.f64 x 3)) (fma.f64 x (*.f64 x -2) -1))
(fma.f64 2 x (fma.f64 (*.f64 x x) (fma.f64 2 x -2) -1))
(fma.f64 2 (pow.f64 x 3) (fma.f64 x (fma.f64 x -2 2) -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 (/.f64 2 (*.f64 x x)) (+.f64 1 (/.f64 -2 x)))
(+.f64 1 (+.f64 (/.f64 2 (*.f64 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 (+.f64 1 (/.f64 2 (*.f64 x x))) (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3))))
(-.f64 (+.f64 (/.f64 2 (*.f64 x x)) (+.f64 1 (/.f64 -2 x))) (/.f64 2 (pow.f64 x 3)))
(+.f64 (+.f64 1 (/.f64 2 (*.f64 x x))) (+.f64 (/.f64 -2 x) (/.f64 -2 (pow.f64 x 3))))
(+.f64 1 (+.f64 (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 -2 x)) (/.f64 -2 (pow.f64 x 3))))
(+.f64 (/.f64 2 (*.f64 x x)) (-.f64 1 (-.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 (/.f64 2 (*.f64 x x)) (+.f64 1 (/.f64 -2 x)))
(+.f64 1 (+.f64 (/.f64 2 (*.f64 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 (+.f64 1 (/.f64 2 (*.f64 x x))) (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3))))
(-.f64 (+.f64 (/.f64 2 (*.f64 x x)) (+.f64 1 (/.f64 -2 x))) (/.f64 2 (pow.f64 x 3)))
(+.f64 (+.f64 1 (/.f64 2 (*.f64 x x))) (+.f64 (/.f64 -2 x) (/.f64 -2 (pow.f64 x 3))))
(+.f64 1 (+.f64 (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 -2 x)) (/.f64 -2 (pow.f64 x 3))))
(+.f64 (/.f64 2 (*.f64 x x)) (-.f64 1 (-.f64 (/.f64 2 x) (/.f64 -2 (pow.f64 x 3)))))
-6
(-.f64 (*.f64 12 x) 6)
(fma.f64 12 x -6)
(fma.f64 x 12 -6)
(-.f64 (+.f64 (*.f64 12 x) (*.f64 -12 (pow.f64 x 2))) 6)
(+.f64 (fma.f64 12 x (*.f64 (*.f64 x x) -12)) -6)
(fma.f64 x 12 (fma.f64 (*.f64 x x) -12 -6))
(fma.f64 x 12 (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 (*.f64 x x) -12))) -6)
(+.f64 (*.f64 12 (+.f64 x (pow.f64 x 3))) (fma.f64 (*.f64 x x) -12 -6))
(fma.f64 12 (+.f64 x (pow.f64 x 3)) (fma.f64 x (*.f64 x -12) -6))
(fma.f64 x 12 (fma.f64 (*.f64 x x) (fma.f64 x 12 -12) -6))
(fma.f64 (*.f64 x x) (fma.f64 x 12 -12) (fma.f64 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 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 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 12 (/.f64 1 (pow.f64 x 3))) (*.f64 12 (/.f64 1 x))))
(-.f64 (+.f64 6 (/.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 (/.f64 12 (*.f64 x x)) (+.f64 (/.f64 12 x) (+.f64 (/.f64 12 (pow.f64 x 3)) -6)))
(+.f64 6 (+.f64 (/.f64 -12 x) (+.f64 (/.f64 12 (*.f64 x x)) (/.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 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 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 12 (/.f64 1 (pow.f64 x 3))) (*.f64 12 (/.f64 1 x))))
(-.f64 (+.f64 6 (/.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 (/.f64 12 (*.f64 x x)) (+.f64 (/.f64 12 x) (+.f64 (/.f64 12 (pow.f64 x 3)) -6)))
(+.f64 6 (+.f64 (/.f64 -12 x) (+.f64 (/.f64 12 (*.f64 x x)) (/.f64 -12 (pow.f64 x 3)))))

localize126.0ms (1.7%)

Local error

Found 4 expressions with local error:

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

Compiled 45 to 29 computations (35.6% saved)

series6.0ms (0.1%)

Counts
2 → 6
Calls

6 calls:

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

rewrite117.0ms (1.5%)

Algorithm
1×batch-egg-rewrite
Rules
554×log-prod_binary64
327×pow-prod-down_binary64
315×pow2_binary64
255×prod-diff_binary64
220×fma-def_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01232
126032
2334728
Stop Event
1×node limit
Counts
2 → 73
Calls
Call 1
Inputs
(*.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) 1/6)
(/.f64 (+.f64 x -1) (*.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) 1/6))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1/6 (*.f64 (fma.f64 4 (sqrt.f64 x) x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1/6 (*.f64 1/6 (fma.f64 4 (sqrt.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 (fma.f64 4 (sqrt.f64 x) x) 1/6 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (fma.f64 4 (sqrt.f64 x) x) 1/6) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/6 (fma.f64 4 (sqrt.f64 x) x)) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 (fma.f64 4 (sqrt.f64 x) x) 1/6 1/6))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (fma.f64 4 (sqrt.f64 x) x) 1/6 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (fma.f64 4 (sqrt.f64 x) x) 1/6 1/6)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (fma.f64 4 (sqrt.f64 x) x) 1/6 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (fma.f64 4 (sqrt.f64 x) x) 1/6 1/6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 (fma.f64 4 (sqrt.f64 x) x) 3)) 1/6) (+.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 (pow.f64 (fma.f64 4 (sqrt.f64 x) x) 2) -1) 1/6) (fma.f64 4 (sqrt.f64 x) (-.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/6 (+.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 1/6 (+.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 (fma.f64 (fma.f64 4 (sqrt.f64 x) x) 1/6 1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (fma.f64 4 (sqrt.f64 x) x) 1/6 1/6) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (fma.f64 4 (sqrt.f64 x) x) 1/6 1/6) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (fma.f64 4 (sqrt.f64 x) x) 1/6 1/6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (fma.f64 4 (sqrt.f64 x) x) 1/6 1/6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (fma.f64 4 (sqrt.f64 x) x) 1/6 1/6) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (fma.f64 4 (sqrt.f64 x) x) 1/6 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (fma.f64 4 (sqrt.f64 x) x) 1/6 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (fma.f64 4 (sqrt.f64 x) x) 1/6 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (fma.f64 4 (sqrt.f64 x) x) 1/6 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (fma.f64 4 (sqrt.f64 x) x) 1/6 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (fma.f64 4 (sqrt.f64 x) x) 1/6 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (fma.f64 4 (sqrt.f64 x) x) 1/6 1/6)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 4 (sqrt.f64 x) x) 1/6 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/6 (fma.f64 4 (sqrt.f64 x) x) 1/6)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (-.f64 x 1) (fma.f64 (fma.f64 4 (sqrt.f64 x) x) 1/6 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 x 1) (fma.f64 (fma.f64 4 (sqrt.f64 x) x) 1/6 1/6)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 x 1) (fma.f64 (fma.f64 4 (sqrt.f64 x) x) 1/6 1/6))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 x 1) (fma.f64 (fma.f64 4 (sqrt.f64 x) x) 1/6 1/6))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 x 1) (fma.f64 (fma.f64 4 (sqrt.f64 x) x) 1/6 1/6))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 x 1) (fma.f64 (fma.f64 4 (sqrt.f64 x) x) 1/6 1/6)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 x 1) (fma.f64 (fma.f64 4 (sqrt.f64 x) x) 1/6 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x 1) (/.f64 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 x 1) (fma.f64 (fma.f64 4 (sqrt.f64 x) x) 1/6 1/6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 x 1)) 2) (*.f64 (cbrt.f64 (-.f64 x 1)) (/.f64 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 x 1) (fma.f64 (fma.f64 4 (sqrt.f64 x) x) 1/6 1/6))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 x 1) (fma.f64 (fma.f64 4 (sqrt.f64 x) x) 1/6 1/6))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 x 1) (fma.f64 (fma.f64 4 (sqrt.f64 x) x) 1/6 1/6))) 2) (cbrt.f64 (/.f64 (-.f64 x 1) (fma.f64 (fma.f64 4 (sqrt.f64 x) x) 1/6 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 x 1)) (*.f64 (sqrt.f64 (-.f64 x 1)) (/.f64 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 x 1) (fma.f64 (fma.f64 4 (sqrt.f64 x) x) 1/6 1/6))) (sqrt.f64 (/.f64 (-.f64 x 1) (fma.f64 (fma.f64 4 (sqrt.f64 x) x) 1/6 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (neg.f64 x)) (/.f64 1 (*.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) -1/6)))))) (#(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> (2) ((x *.f64 (/.f64 (-.f64 x 1) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) 6)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x 1)) 2) 1) (/.f64 (cbrt.f64 (-.f64 x 1)) (fma.f64 (fma.f64 4 (sqrt.f64 x) x) 1/6 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 x 1)) 1) (/.f64 (sqrt.f64 (-.f64 x 1)) (fma.f64 (fma.f64 4 (sqrt.f64 x) x) 1/6 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) (/.f64 (-.f64 x 1) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x 1)) 2) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) (/.f64 (cbrt.f64 (-.f64 x 1)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 x 1)) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) (/.f64 (sqrt.f64 (-.f64 x 1)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 x 1)) 1/6) (/.f64 (sqrt.f64 (-.f64 x 1)) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 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 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x 1)) 2) 1/6) (/.f64 (cbrt.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 (fma.f64 (fma.f64 4 (sqrt.f64 x) x) 1/6 1/6)) -2) (/.f64 (-.f64 x 1) (cbrt.f64 (fma.f64 (fma.f64 4 (sqrt.f64 x) x) 1/6 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x 1)) 2) (pow.f64 (cbrt.f64 (fma.f64 (fma.f64 4 (sqrt.f64 x) x) 1/6 1/6)) 2)) (cbrt.f64 (/.f64 (-.f64 x 1) (fma.f64 (fma.f64 4 (sqrt.f64 x) x) 1/6 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 x 1)) (pow.f64 (cbrt.f64 (fma.f64 (fma.f64 4 (sqrt.f64 x) x) 1/6 1/6)) 2)) (/.f64 (sqrt.f64 (-.f64 x 1)) (cbrt.f64 (fma.f64 (fma.f64 4 (sqrt.f64 x) x) 1/6 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 (fma.f64 4 (sqrt.f64 x) x) 1/6 1/6) -1/2) (/.f64 (-.f64 x 1) (sqrt.f64 (fma.f64 (fma.f64 4 (sqrt.f64 x) x) 1/6 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x 1)) 2) (sqrt.f64 (fma.f64 (fma.f64 4 (sqrt.f64 x) x) 1/6 1/6))) (/.f64 (cbrt.f64 (-.f64 x 1)) (sqrt.f64 (fma.f64 (fma.f64 4 (sqrt.f64 x) x) 1/6 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 x 1) (fma.f64 (fma.f64 4 (sqrt.f64 x) x) 1/6 1/6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 x 1) (fma.f64 (fma.f64 4 (sqrt.f64 x) x) 1/6 1/6)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 x 1) (fma.f64 (fma.f64 4 (sqrt.f64 x) x) 1/6 1/6)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 x 1) (fma.f64 (fma.f64 4 (sqrt.f64 x) x) 1/6 1/6))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 x 1) (fma.f64 (fma.f64 4 (sqrt.f64 x) x) 1/6 1/6))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (fma.f64 4 (sqrt.f64 x) x) 1/6 1/6) (-.f64 x 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (-.f64 x 1) 3) (pow.f64 (fma.f64 (fma.f64 4 (sqrt.f64 x) x) 1/6 1/6) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (fma.f64 (fma.f64 4 (sqrt.f64 x) x) 1/6 1/6) (-.f64 x 1)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 x 1) (*.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) -1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 x 1) (fma.f64 (fma.f64 4 (sqrt.f64 x) x) 1/6 1/6)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 x 1) (fma.f64 (fma.f64 4 (sqrt.f64 x) x) 1/6 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 x 1) (fma.f64 (fma.f64 4 (sqrt.f64 x) x) 1/6 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 x 1) (fma.f64 (fma.f64 4 (sqrt.f64 x) x) 1/6 1/6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 x 1) 3) (pow.f64 (fma.f64 (fma.f64 4 (sqrt.f64 x) x) 1/6 1/6) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 x 1) (fma.f64 (fma.f64 4 (sqrt.f64 x) x) 1/6 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 x 1) (fma.f64 (fma.f64 4 (sqrt.f64 x) x) 1/6 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 x 1) (fma.f64 (fma.f64 4 (sqrt.f64 x) x) 1/6 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 x 1) (fma.f64 (fma.f64 4 (sqrt.f64 x) x) 1/6 1/6))) 1))))))

simplify16.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0612
1712
Stop Event
1×saturated
Counts
79 → 77
Calls
Call 1
Inputs
1/6
(*.f64 1/6 x)
(*.f64 1/6 x)
-6
6
6
Outputs
1/6
(*.f64 1/6 x)
(*.f64 1/6 x)
-6
6
6

eval945.0ms (12.5%)

Compiler

Compiled 11052 to 8198 computations (25.8% saved)

prune231.0ms (3%)

Pruning

14 alts after pruning (7 fresh and 7 done)

PrunedKeptTotal
New6005605
Fresh224
Picked101
Done178
Total60414618
Error
0b
Counts
618 → 14
Alt Table
Click to see full alt table
StatusErrorProgram
29.0b
(*.f64 6 (+.f64 1 (/.f64 -2 x)))
35.1b
-6
✓29.0b
(+.f64 6 (/.f64 -12 x))
✓34.4b
(/.f64 (*.f64 6 (-.f64 x 1)) (/.f64 (+.f64 (*.f64 -14 x) 1) (+.f64 (-.f64 x -1) (*.f64 -4 (sqrt.f64 x)))))
0.2b
(/.f64 (+.f64 x -1) (*.f64 (+.f64 (+.f64 (*.f64 4 (sqrt.f64 x)) x) 1) 1/6))
48.3b
(*.f64 (/.f64 (*.f64 6 x) (-.f64 (pow.f64 (+.f64 x 1) 2) (*.f64 x 16))) (-.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))
34.4b
(*.f64 (/.f64 (+.f64 x -1) (fma.f64 x -14 1)) (/.f64 6 (/.f64 1 (+.f64 (fma.f64 -4 (sqrt.f64 x) x) 1))))
✓33.9b
(-.f64 (*.f64 12 x) 6)
30.1b
6
2.5b
(/.f64 1 (/.f64 (+.f64 x 1) (fma.f64 x 6 -6)))
✓0.0b
(*.f64 6 (/.f64 (+.f64 x -1) (+.f64 (+.f64 (*.f64 4 (sqrt.f64 x)) x) 1)))
✓30.2b
(/.f64 (*.f64 6 x) x)
✓0.1b
(*.f64 (/.f64 6 (+.f64 (+.f64 (*.f64 4 (sqrt.f64 x)) x) 1)) (+.f64 x -1))
✓29.2b
(/.f64 (*.f64 6 x) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))
Compiler

Compiled 164 to 132 computations (19.5% saved)

regimes77.0ms (1%)

Counts
37 → 1
Calls
Call 1
Inputs
-6
6
6
-6
-6
6
-6
6
(/.f64 (*.f64 6 x) x)
(-.f64 (*.f64 12 x) 6)
(+.f64 6 (/.f64 -12 x))
(*.f64 6 (+.f64 1 (/.f64 -2 x)))
(/.f64 (*.f64 6 (-.f64 x 1)) 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 (fma.f64 x -6 6) (-.f64 -1 x))
(/.f64 1 (/.f64 (+.f64 x 1) (fma.f64 x 6 -6)))
(/.f64 (*.f64 6 x) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))
(/.f64 (+.f64 x -1) (*.f64 (+.f64 (+.f64 (*.f64 4 (sqrt.f64 x)) x) 1) 1/6))
(*.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))
(/.f64 (*.f64 6 (-.f64 x 1)) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))
(/.f64 (*.f64 6 (-.f64 x 1)) (/.f64 (+.f64 (*.f64 -14 x) 1) (+.f64 (-.f64 x -1) (*.f64 -4 (sqrt.f64 x)))))
(/.f64 (+.f64 x -1) (*.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) 1/6))
(*.f64 (/.f64 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) (+.f64 x -1))
(*.f64 6 (/.f64 (+.f64 x -1) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))
(*.f64 6 (/.f64 1 (/.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) (+.f64 x -1))))
(*.f64 (/.f64 (*.f64 6 x) (-.f64 (pow.f64 (+.f64 x 1) 2) (*.f64 x 16))) (-.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))
(/.f64 (*.f64 6 (-.f64 x 1)) (/.f64 (-.f64 (pow.f64 (-.f64 x -1) 2) (*.f64 x 16)) (+.f64 (-.f64 x -1) (*.f64 -4 (sqrt.f64 x)))))
(/.f64 (*.f64 6 (-.f64 x 1)) (*.f64 (-.f64 (pow.f64 (-.f64 x -1) 2) (*.f64 x 16)) (/.f64 1 (+.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 (/.f64 (+.f64 x -1) (fma.f64 x -14 1)) (/.f64 6 (/.f64 1 (+.f64 (fma.f64 -4 (sqrt.f64 x) x) 1))))
(*.f64 (fma.f64 -4 (sqrt.f64 x) (+.f64 x 1)) (/.f64 (+.f64 (*.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))))
(/.f64 (cbrt.f64 (pow.f64 (fma.f64 6 x -6) 3)) (+.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:

33.0ms
x
13.0ms
(/.f64 (*.f64 6 (-.f64 x 1)) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))
10.0ms
(/.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 428 to 320 computations (25.2% saved)

regimes16.0ms (0.2%)

Counts
21 → 1
Calls
Call 1
Inputs
-6
6
6
-6
-6
6
-6
6
(/.f64 (*.f64 6 x) x)
(-.f64 (*.f64 12 x) 6)
(+.f64 6 (/.f64 -12 x))
(*.f64 6 (+.f64 1 (/.f64 -2 x)))
(/.f64 (*.f64 6 (-.f64 x 1)) 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 (fma.f64 x -6 6) (-.f64 -1 x))
(/.f64 1 (/.f64 (+.f64 x 1) (fma.f64 x 6 -6)))
(/.f64 (*.f64 6 x) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))
(/.f64 (+.f64 x -1) (*.f64 (+.f64 (+.f64 (*.f64 4 (sqrt.f64 x)) x) 1) 1/6))
Outputs
(/.f64 (+.f64 x -1) (*.f64 (+.f64 (+.f64 (*.f64 4 (sqrt.f64 x)) x) 1) 1/6))
Calls

1 calls:

11.0ms
x
Results
ErrorSegmentsBranch
0.2b1x
Compiler

Compiled 116 to 90 computations (22.4% saved)

regimes18.0ms (0.2%)

Counts
20 → 1
Calls
Call 1
Inputs
-6
6
6
-6
-6
6
-6
6
(/.f64 (*.f64 6 x) x)
(-.f64 (*.f64 12 x) 6)
(+.f64 6 (/.f64 -12 x))
(*.f64 6 (+.f64 1 (/.f64 -2 x)))
(/.f64 (*.f64 6 (-.f64 x 1)) 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 (fma.f64 x -6 6) (-.f64 -1 x))
(/.f64 1 (/.f64 (+.f64 x 1) (fma.f64 x 6 -6)))
(/.f64 (*.f64 6 x) (+.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
2.2b1x
Compiler

Compiled 102 to 80 computations (21.6% saved)

regimes21.0ms (0.3%)

Counts
15 → 2
Calls
Call 1
Inputs
-6
6
6
-6
-6
6
-6
6
(/.f64 (*.f64 6 x) x)
(-.f64 (*.f64 12 x) 6)
(+.f64 6 (/.f64 -12 x))
(*.f64 6 (+.f64 1 (/.f64 -2 x)))
(/.f64 (*.f64 6 (-.f64 x 1)) x)
(/.f64 (*.f64 6 (-.f64 x 1)) x)
(/.f64 (*.f64 6 (-.f64 x 1)) 1)
Outputs
(-.f64 (*.f64 12 x) 6)
(*.f64 6 (+.f64 1 (/.f64 -2 x)))
Calls

1 calls:

18.0ms
x
Results
ErrorSegmentsBranch
2.2b2x
Compiler

Compiled 54 to 43 computations (20.4% saved)

bsearch32.0ms (0.4%)

Algorithm
1×binary-search
Steps
TimeLeftRight
31.0ms
3.6480421712448184e-9
24.122218858980375
Compiler

Compiled 19 to 15 computations (21.1% saved)

regimes33.0ms (0.4%)

Counts
11 → 2
Calls
Call 1
Inputs
-6
6
6
-6
-6
6
-6
6
(/.f64 (*.f64 6 x) x)
(-.f64 (*.f64 12 x) 6)
(+.f64 6 (/.f64 -12 x))
Outputs
(-.f64 (*.f64 12 x) 6)
(+.f64 6 (/.f64 -12 x))
Calls

1 calls:

29.0ms
x
Results
ErrorSegmentsBranch
2.2b2x
Compiler

Compiled 26 to 21 computations (19.2% saved)

bsearch40.0ms (0.5%)

Algorithm
1×binary-search
Steps
TimeLeftRight
40.0ms
3.6480421712448184e-9
24.122218858980375
Compiler

Compiled 19 to 15 computations (21.1% saved)

regimes33.0ms (0.4%)

Counts
10 → 2
Calls
Call 1
Inputs
-6
6
6
-6
-6
6
-6
6
(/.f64 (*.f64 6 x) x)
(-.f64 (*.f64 12 x) 6)
Outputs
(-.f64 (*.f64 12 x) 6)
6
Calls

1 calls:

29.0ms
x
Results
ErrorSegmentsBranch
2.2b2x
Compiler

Compiled 21 to 17 computations (19% saved)

bsearch41.0ms (0.5%)

Algorithm
1×binary-search
Steps
TimeLeftRight
40.0ms
3.6480421712448184e-9
24.122218858980375
Compiler

Compiled 19 to 15 computations (21.1% saved)

regimes27.0ms (0.4%)

Accuracy

Total -60.8b remaining (-2739.4%)

Threshold costs -60.8b (-2739.4%)

Counts
9 → 2
Calls
Call 1
Inputs
-6
6
6
-6
-6
6
-6
6
(/.f64 (*.f64 6 x) x)
Outputs
-6
6
Calls

1 calls:

23.0ms
x
Results
ErrorSegmentsBranch
2.2b2x
Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch42.0ms (0.6%)

Algorithm
1×binary-search
Steps
TimeLeftRight
42.0ms
3.6480421712448184e-9
24.122218858980375
Compiler

Compiled 19 to 15 computations (21.1% saved)

simplify14.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
037121
153121
254121
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 x -1) (*.f64 (+.f64 (+.f64 (*.f64 4 (sqrt.f64 x)) x) 1) 1/6))
(*.f64 6 (/.f64 (+.f64 x -1) (+.f64 x 1)))
(if (<=.f64 x 8820424743721747/2417851639229258349412352) (-.f64 (*.f64 12 x) 6) (*.f64 6 (+.f64 1 (/.f64 -2 x))))
(if (<=.f64 x 8820424743721747/2417851639229258349412352) (-.f64 (*.f64 12 x) 6) (+.f64 6 (/.f64 -12 x)))
(if (<=.f64 x 8820424743721747/2417851639229258349412352) (-.f64 (*.f64 12 x) 6) 6)
(if (<=.f64 x 8820424743721747/2417851639229258349412352) -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 x -1) (*.f64 (+.f64 (+.f64 (*.f64 4 (sqrt.f64 x)) x) 1) 1/6))
(/.f64 (+.f64 x -1) (*.f64 (+.f64 (+.f64 x (*.f64 4 (sqrt.f64 x))) 1) 1/6))
(*.f64 6 (/.f64 (+.f64 x -1) (+.f64 x 1)))
(if (<=.f64 x 8820424743721747/2417851639229258349412352) (-.f64 (*.f64 12 x) 6) (*.f64 6 (+.f64 1 (/.f64 -2 x))))
(if (<=.f64 x 8820424743721747/2417851639229258349412352) (+.f64 (*.f64 x 12) -6) (*.f64 6 (+.f64 1 (/.f64 -2 x))))
(if (<=.f64 x 8820424743721747/2417851639229258349412352) (-.f64 (*.f64 12 x) 6) (+.f64 6 (/.f64 -12 x)))
(if (<=.f64 x 8820424743721747/2417851639229258349412352) (+.f64 (*.f64 x 12) -6) (+.f64 6 (/.f64 -12 x)))
(if (<=.f64 x 8820424743721747/2417851639229258349412352) (-.f64 (*.f64 12 x) 6) 6)
(if (<=.f64 x 8820424743721747/2417851639229258349412352) (+.f64 (*.f64 x 12) -6) 6)
(if (<=.f64 x 8820424743721747/2417851639229258349412352) -6 6)
-6
Compiler

Compiled 92 to 75 computations (18.5% saved)

soundness0.0ms (0%)

end246.0ms (3.2%)

Compiler

Compiled 85 to 67 computations (21.2% saved)

Profiling

Loading profile data...