Details

Time bar (total: 7.2s)

analyze712.0ms (9.9%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
50%50%0%2
50%50%0%3
62.5%37.5%0%4
68.7%31.2%0%5
71.8%28.1%0%6
73.4%26.5%0%7
74.2%25.8%0%8
74.6%25.4%0%9
74.8%25.2%0%10
74.9%25.1%0%11
74.9%25%0%12
74.9%25%0%13
75%25%0%14
Compiler

Compiled 11 to 8 computations (27.3% saved)

sample5.7s (78.3%)

Results
2.7s2624×body1024valid
1.3s1238×body2048valid
836.0ms1283×body512valid
458.0ms2422×body128valid
259.0ms646×body256valid
62.0ms43×body4096valid
Compiler

Compiled 22 to 16 computations (27.3% saved)

preprocess55.0ms (0.8%)

Algorithm
2×egg-herbie
Rules
336×rules-23-rev_binary64
265×rules-20_binary64
249×rules-22-rev_binary64
167×rules-15-rev_binary64
139×rules-24-rev_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0812
1169
2279
3499
41159
53849
621519
011
Stop Event
1×saturated
1×node limit
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
Outputs
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x 1))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
Compiler

Compiled 10 to 7 computations (30% saved)

simplify35.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
336×rules-23-rev_binary64
265×rules-20_binary64
249×rules-22-rev_binary64
167×rules-15-rev_binary64
139×rules-24-rev_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0812
1169
2279
3499
41159
53849
621519
Stop Event
1×node limit
Counts
1 → 2
Calls
Call 1
Inputs
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
Outputs
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x 1))))
(log.f64 (+.f64 x (hypot.f64 1 x)))

prune7.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
47.1b
Counts
3 → 2
Alt Table
StatusErrorProgram
▶47.1b
(log.f64 (+.f64 x (hypot.f64 1 x)))
53.1b
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
Compiler

Compiled 50 to 35 computations (30% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(hypot.f64 1 x)
✓0.7b
(+.f64 x (hypot.f64 1 x))
✓2.4b
(log.f64 (+.f64 x (hypot.f64 1 x)))

series14.0ms (0.2%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
(log.f64 (+.f64 x (hypot.f64 1 x)))
2.0ms
x
@0
(log.f64 (+.f64 x (hypot.f64 1 x)))
2.0ms
x
@inf
(log.f64 (+.f64 x (hypot.f64 1 x)))
2.0ms
x
@-inf
(+.f64 x (hypot.f64 1 x))
1.0ms
x
@inf
(+.f64 x (hypot.f64 1 x))

rewrite78.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
608×rules-40_binary64
608×rules-41_binary64
608×rules-42_binary64
608×rules-43_binary64
565×log1p-expm1-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0620
113620
2172520
Stop Event
1×node limit
Counts
3 → 103
Calls
Call 1
Inputs
(log.f64 (+.f64 x (hypot.f64 1 x)))
(+.f64 x (hypot.f64 1 x))
(hypot.f64 1 x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (fma.f64 x x (-.f64 (pow.f64 (hypot.f64 1 x) 2) (*.f64 x (hypot.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) (+.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2) (+.f64 0 (*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 0))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) (+.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2) (-.f64 0 (*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 0))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (+.f64 x (hypot.f64 1 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 x (-.f64 0 (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (hypot.f64 1 x) (-.f64 0 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x (hypot.f64 1 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 0 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (+.f64 1 (/.f64 (hypot.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 x) (+.f64 1 (/.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (hypot.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2) (cbrt.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 (cbrt.f64 x) (/.f64 (hypot.f64 1 x) (pow.f64 (cbrt.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 x) 2)) (+.f64 (cbrt.f64 (hypot.f64 1 x)) (/.f64 x (cbrt.f64 (pow.f64 (hypot.f64 1 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 x) (/.f64 (hypot.f64 1 x) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (hypot.f64 1 x)) (+.f64 (sqrt.f64 (hypot.f64 1 x)) (/.f64 x (sqrt.f64 (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x (hypot.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3) (+.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2) (+.f64 0 (*.f64 (+.f64 x (hypot.f64 1 x)) 0))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3) (+.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2) (-.f64 0 (*.f64 (+.f64 x (hypot.f64 1 x)) 0))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 x x (-.f64 (pow.f64 (hypot.f64 1 x) 2) (*.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (+.f64 (pow.f64 (hypot.f64 1 x) 2) (-.f64 (*.f64 x x) (*.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (*.f64 0 (fma.f64 x x (-.f64 (pow.f64 (hypot.f64 1 x) 2) (*.f64 x (hypot.f64 1 x)))))) (fma.f64 x x (-.f64 (pow.f64 (hypot.f64 1 x) 2) (*.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (hypot.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (+.f64 x (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (hypot.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 x) 1 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 x (hypot.f64 1 x)) 1 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2) (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (hypot.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 x) 2)) (cbrt.f64 (hypot.f64 1 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (hypot.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (hypot.f64 1 x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (hypot.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (hypot.f64 1 x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 0 (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (hypot.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (hypot.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (hypot.f64 1 x)) (cbrt.f64 (pow.f64 (hypot.f64 1 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 x) 2)) (cbrt.f64 (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (hypot.f64 1 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (hypot.f64 1 x) 3) (+.f64 (pow.f64 (hypot.f64 1 x) 2) (+.f64 0 (*.f64 (hypot.f64 1 x) 0))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (hypot.f64 1 x) 3) (+.f64 (pow.f64 (hypot.f64 1 x) 2) (-.f64 0 (*.f64 (hypot.f64 1 x) 0))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 1 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (hypot.f64 1 x) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (hypot.f64 1 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (hypot.f64 1 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (hypot.f64 1 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (hypot.f64 1 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (hypot.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (hypot.f64 1 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 x) 1 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 x) 2)) (cbrt.f64 (hypot.f64 1 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (hypot.f64 1 x)))))))

simplify55.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
426×rules-15-rev_binary64
353×rules-11_binary64
328×rules-12-rev_binary64
314×rules-20_binary64
230×rules-13_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
098570
1334555
21553547
Stop Event
1×node limit
Counts
139 → 166
Calls
Call 1
Inputs
x
(-.f64 x (*.f64 1/6 (pow.f64 x 3)))
(-.f64 (+.f64 (*.f64 3/40 (pow.f64 x 5)) x) (*.f64 1/6 (pow.f64 x 3)))
(-.f64 (+.f64 (*.f64 3/40 (pow.f64 x 5)) x) (+.f64 (*.f64 5/112 (pow.f64 x 7)) (*.f64 1/6 (pow.f64 x 3))))
(-.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(-.f64 (+.f64 (log.f64 2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))) (log.f64 (/.f64 1 x)))
(-.f64 (+.f64 (log.f64 2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (log.f64 (/.f64 1 x))))
(-.f64 (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (+.f64 (log.f64 2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
1
(+.f64 1 x)
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(-.f64 (+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x)) (*.f64 1/8 (pow.f64 x 4)))
(*.f64 2 x)
(+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 2 x))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 2 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 2 x))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(/.f64 -1/2 x)
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))))
(-.f64 (+.f64 (*.f64 5/128 (/.f64 1 (pow.f64 x 7))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))))
1
(+.f64 1 (*.f64 1/2 (pow.f64 x 2)))
(-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (*.f64 1/8 (pow.f64 x 4)))
(-.f64 (+.f64 1 (+.f64 (*.f64 1/16 (pow.f64 x 6)) (*.f64 1/2 (pow.f64 x 2)))) (*.f64 1/8 (pow.f64 x 4)))
x
(+.f64 (*.f64 1/2 (/.f64 1 x)) x)
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) x) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 1/2 (/.f64 1 x)) x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(*.f64 -1 x)
(neg.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) x))
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 1 x)) x))
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 1/2 (/.f64 1 x)) x)))
Outputs
x
(-.f64 x (*.f64 1/6 (pow.f64 x 3)))
(-.f64 (+.f64 (*.f64 3/40 (pow.f64 x 5)) x) (*.f64 1/6 (pow.f64 x 3)))
(-.f64 (fma.f64 3/40 (pow.f64 x 5) x) (*.f64 1/6 (pow.f64 x 3)))
(-.f64 (+.f64 (*.f64 3/40 (pow.f64 x 5)) x) (+.f64 (*.f64 5/112 (pow.f64 x 7)) (*.f64 1/6 (pow.f64 x 3))))
(-.f64 (fma.f64 3/40 (pow.f64 x 5) x) (fma.f64 5/112 (pow.f64 x 7) (*.f64 1/6 (pow.f64 x 3))))
(-.f64 (fma.f64 3/40 (pow.f64 x 5) x) (fma.f64 1/6 (pow.f64 x 3) (*.f64 5/112 (pow.f64 x 7))))
(-.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(-.f64 (log.f64 2) (neg.f64 (log.f64 x)))
(+.f64 (log.f64 2) (log.f64 x))
(-.f64 (+.f64 (log.f64 2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))) (log.f64 (/.f64 1 x)))
(-.f64 (/.f64 1/4 (*.f64 x x)) (-.f64 (neg.f64 (log.f64 x)) (log.f64 2)))
(-.f64 (log.f64 2) (-.f64 (neg.f64 (log.f64 x)) (/.f64 1/4 (*.f64 x x))))
(+.f64 (+.f64 (log.f64 2) (/.f64 1/4 (*.f64 x x))) (log.f64 x))
(-.f64 (+.f64 (log.f64 2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (log.f64 (/.f64 1 x))))
(-.f64 (/.f64 1/4 (*.f64 x x)) (-.f64 (+.f64 (neg.f64 (log.f64 x)) (/.f64 3/32 (pow.f64 x 4))) (log.f64 2)))
(-.f64 (+.f64 (log.f64 2) (/.f64 1/4 (*.f64 x x))) (+.f64 (neg.f64 (log.f64 x)) (/.f64 3/32 (pow.f64 x 4))))
(+.f64 (-.f64 (log.f64 2) (-.f64 (/.f64 3/32 (pow.f64 x 4)) (/.f64 1/4 (*.f64 x x)))) (log.f64 x))
(-.f64 (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (+.f64 (log.f64 2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (log.f64 (/.f64 1 x))))
(-.f64 (+.f64 (+.f64 (log.f64 2) (/.f64 1/4 (*.f64 x x))) (/.f64 5/96 (pow.f64 x 6))) (+.f64 (neg.f64 (log.f64 x)) (/.f64 3/32 (pow.f64 x 4))))
(-.f64 (+.f64 (log.f64 2) (/.f64 1/4 (*.f64 x x))) (-.f64 (neg.f64 (log.f64 x)) (-.f64 (/.f64 5/96 (pow.f64 x 6)) (/.f64 3/32 (pow.f64 x 4)))))
(+.f64 (/.f64 5/96 (pow.f64 x 6)) (+.f64 (-.f64 (log.f64 2) (-.f64 (/.f64 3/32 (pow.f64 x 4)) (/.f64 1/4 (*.f64 x x)))) (log.f64 x)))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (log.f64 1/2) (-.f64 (/.f64 1/4 (*.f64 x x)) (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 (/.f64 -1 x)) (-.f64 (log.f64 1/2) (/.f64 1/4 (*.f64 x x))))
(-.f64 (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (-.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 3/32 (pow.f64 x 4))))
(+.f64 (/.f64 3/32 (pow.f64 x 4)) (-.f64 (log.f64 1/2) (-.f64 (/.f64 1/4 (*.f64 x x)) (log.f64 (/.f64 -1 x)))))
(+.f64 (/.f64 3/32 (pow.f64 x 4)) (+.f64 (log.f64 (/.f64 -1 x)) (-.f64 (log.f64 1/2) (/.f64 1/4 (*.f64 x x)))))
(-.f64 (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (/.f64 3/32 (pow.f64 x 4)) (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6))))
(-.f64 (/.f64 3/32 (pow.f64 x 4)) (-.f64 (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6))) (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (log.f64 1/2))) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6))))
1
(+.f64 1 x)
(+.f64 x 1)
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) x))
(+.f64 x (*.f64 1/2 (fma.f64 x x 2)))
(-.f64 (+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x)) (*.f64 1/8 (pow.f64 x 4)))
(-.f64 (fma.f64 1/2 (*.f64 x x) x) (-.f64 (*.f64 (pow.f64 x 4) 1/8) 1))
(-.f64 (fma.f64 (*.f64 x x) 1/2 x) (fma.f64 (pow.f64 x 4) 1/8 -1))
(*.f64 2 x)
(*.f64 x 2)
(+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 2 x))
(+.f64 (*.f64 x 2) (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 1/2 x))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 2 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (*.f64 x 2) (-.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/2 x)))
(-.f64 (fma.f64 x 2 (/.f64 1/2 x)) (/.f64 1/8 (pow.f64 x 3)))
(-.f64 (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 2 x))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 x 2) (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5)))) (/.f64 1/8 (pow.f64 x 3)))
(+.f64 (/.f64 1/16 (pow.f64 x 5)) (-.f64 (fma.f64 x 2 (/.f64 1/2 x)) (/.f64 1/8 (pow.f64 x 3))))
(/.f64 -1/2 x)
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/2 x))
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))))
(-.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5))))
(-.f64 (+.f64 (*.f64 5/128 (/.f64 1 (pow.f64 x 7))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))))
(-.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5))) (/.f64 5/128 (pow.f64 x 7))))
(-.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (/.f64 1/2 x) (-.f64 (/.f64 5/128 (pow.f64 x 7)) (/.f64 1/16 (pow.f64 x 5)))))
1
(+.f64 1 (*.f64 1/2 (pow.f64 x 2)))
(+.f64 1 (*.f64 (*.f64 x x) 1/2))
(*.f64 1/2 (fma.f64 x x 2))
(-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (*.f64 1/8 (pow.f64 x 4)))
(-.f64 (*.f64 (*.f64 x x) 1/2) (-.f64 (*.f64 (pow.f64 x 4) 1/8) 1))
(-.f64 (*.f64 1/2 (fma.f64 x x 2)) (*.f64 (pow.f64 x 4) 1/8))
(-.f64 (+.f64 1 (+.f64 (*.f64 1/16 (pow.f64 x 6)) (*.f64 1/2 (pow.f64 x 2)))) (*.f64 1/8 (pow.f64 x 4)))
(-.f64 (fma.f64 1/16 (pow.f64 x 6) (*.f64 (*.f64 x x) 1/2)) (-.f64 (*.f64 (pow.f64 x 4) 1/8) 1))
(-.f64 (*.f64 1/2 (fma.f64 x x (*.f64 (pow.f64 x 6) 1/8))) (fma.f64 (pow.f64 x 4) 1/8 -1))
x
(+.f64 (*.f64 1/2 (/.f64 1 x)) x)
(+.f64 x (/.f64 1/2 x))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) x) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 x (/.f64 1/2 x)) (/.f64 1/8 (pow.f64 x 3)))
(-.f64 x (-.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/2 x)))
(-.f64 (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 1/2 (/.f64 1 x)) x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 x (/.f64 1/2 x)) (-.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/16 (pow.f64 x 5))))
(-.f64 (/.f64 1/16 (pow.f64 x 5)) (-.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 x (/.f64 1/2 x))))
(-.f64 (+.f64 (/.f64 1/2 x) (+.f64 x (/.f64 1/16 (pow.f64 x 5)))) (/.f64 1/8 (pow.f64 x 3)))
(*.f64 -1 x)
(*.f64 x -1)
(neg.f64 x)
(neg.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) x))
(neg.f64 (+.f64 x (/.f64 1/2 x)))
(-.f64 (neg.f64 (/.f64 1/2 x)) x)
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 1 x)) x))
(-.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 x (/.f64 1/2 x)))
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 1/2 (/.f64 1 x)) x)))
(-.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (+.f64 x (/.f64 1/16 (pow.f64 x 5)))))

prune146.0ms (2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1642166
Fresh101
Picked011
Done000
Total1653168
Error
0b
Counts
168 → 3
Alt Table
StatusErrorProgram
48.4b
(log.f64 (/.f64 -1/2 x))
▶29.8b
(-.f64 x (*.f64 1/6 (pow.f64 x 3)))
✓47.1b
(log.f64 (+.f64 x (hypot.f64 1 x)))
Compiler

Compiled 2191 to 1679 computations (23.4% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 x (*.f64 1/6 (pow.f64 x 3)))
✓0.1b
(*.f64 1/6 (pow.f64 x 3))

series10.0ms (0.1%)

Counts
2 → 3
Calls

6 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
(-.f64 x (*.f64 1/6 (pow.f64 x 3)))
2.0ms
x
@inf
(-.f64 x (*.f64 1/6 (pow.f64 x 3)))
2.0ms
x
@-inf
(*.f64 1/6 (pow.f64 x 3))
2.0ms
x
@0
(*.f64 1/6 (pow.f64 x 3))
2.0ms
x
@inf
(*.f64 1/6 (pow.f64 x 3))

rewrite62.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
780×rules-40_binary64
780×rules-41_binary64
780×rules-42_binary64
780×rules-43_binary64
76×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0717
117917
2226617
Stop Event
1×node limit
Counts
2 → 68
Calls
Call 1
Inputs
(*.f64 1/6 (pow.f64 x 3))
(-.f64 x (*.f64 1/6 (pow.f64 x 3)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/6 (pow.f64 x 3)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 1/6 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 1/6 (pow.f64 x 3)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 0 (*.f64 1/6 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/6 (pow.f64 x 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 x 3) 6)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/6 (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) 1/216) (+.f64 (pow.f64 (*.f64 1/6 (pow.f64 x 3)) 2) (+.f64 0 (*.f64 (*.f64 1/6 (pow.f64 x 3)) 0))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) 1/216) (+.f64 (pow.f64 (*.f64 1/6 (pow.f64 x 3)) 2) (-.f64 0 (*.f64 (*.f64 1/6 (pow.f64 x 3)) 0))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/6 (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (cbrt.f64 1/6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 1/6) (pow.f64 x 3/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) 1/216) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 1/6 (pow.f64 x 3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 1/6 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/6) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 1/6 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) 1/216))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/6 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/6 (pow.f64 x 3) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 3) 1/6 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/6 (pow.f64 x 3)) 1 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 x (cbrt.f64 1/6)) 2) (*.f64 x (cbrt.f64 1/6)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 1/6) (pow.f64 x 3/2)) (*.f64 (sqrt.f64 1/6) (pow.f64 x 3/2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/6 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/6 (pow.f64 x 3))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 1/6 (pow.f64 x 3))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 1/6 (pow.f64 x 3))) (fma.f64 (neg.f64 (pow.f64 x 3)) 1/6 (*.f64 1/6 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 1/6 (pow.f64 x 3))) (fma.f64 -1/6 (pow.f64 x 3) (*.f64 1/6 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 1/6 (pow.f64 x 3))) (fma.f64 -1 (*.f64 1/6 (pow.f64 x 3)) (*.f64 1/6 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 1/6 (pow.f64 x 3))) (fma.f64 (neg.f64 (*.f64 x (cbrt.f64 1/6))) (pow.f64 (*.f64 x (cbrt.f64 1/6)) 2) (*.f64 1/6 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 1/6 (pow.f64 x 3))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 1/6) (pow.f64 x 3/2))) (*.f64 (sqrt.f64 1/6) (pow.f64 x 3/2)) (*.f64 1/6 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 x (*.f64 1/6 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/6 (-.f64 (/.f64 x 1/6) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 3) (-.f64 (pow.f64 x -2) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x (*.f64 1/6 (pow.f64 x 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 x (*.f64 1/6 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (cbrt.f64 1/6)) (-.f64 (/.f64 x (*.f64 x (cbrt.f64 1/6))) (pow.f64 (*.f64 x (cbrt.f64 1/6)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (cbrt.f64 (-.f64 (pow.f64 x -2) 1/6))) (pow.f64 (*.f64 x (cbrt.f64 (-.f64 (pow.f64 x -2) 1/6))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x (cbrt.f64 (-.f64 (pow.f64 x -2) 1/6))) 2) (*.f64 x (cbrt.f64 (-.f64 (pow.f64 x -2) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 1/6) (pow.f64 x 3/2)) (-.f64 (/.f64 x (*.f64 (sqrt.f64 1/6) (pow.f64 x 3/2))) (*.f64 (sqrt.f64 1/6) (pow.f64 x 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 x (*.f64 1/6 (pow.f64 x 3)))) (sqrt.f64 (-.f64 x (*.f64 1/6 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 x -2) 1/6) (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 1/6) (pow.f64 x 3/2))) (+.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 1/6) (pow.f64 x 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 x (*.f64 1/6 (pow.f64 x 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (-.f64 x (*.f64 1/6 (pow.f64 x 3))) 3) (+.f64 (pow.f64 (-.f64 x (*.f64 1/6 (pow.f64 x 3))) 2) (+.f64 0 (*.f64 (-.f64 x (*.f64 1/6 (pow.f64 x 3))) 0))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (-.f64 x (*.f64 1/6 (pow.f64 x 3))) 3) (+.f64 (pow.f64 (-.f64 x (*.f64 1/6 (pow.f64 x 3))) 2) (-.f64 0 (*.f64 (-.f64 x (*.f64 1/6 (pow.f64 x 3))) 0))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 3) (*.f64 (pow.f64 (pow.f64 x 3) 3) 1/216)) (fma.f64 x x (+.f64 (pow.f64 (*.f64 1/6 (pow.f64 x 3)) 2) (*.f64 1/6 (*.f64 (pow.f64 x 3) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (-.f64 (pow.f64 x 3) (*.f64 (pow.f64 (pow.f64 x 3) 3) 1/216)) (*.f64 0 (fma.f64 x x (+.f64 (pow.f64 (*.f64 1/6 (pow.f64 x 3)) 2) (*.f64 1/6 (*.f64 (pow.f64 x 3) x)))))) (fma.f64 x x (+.f64 (pow.f64 (*.f64 1/6 (pow.f64 x 3)) 2) (*.f64 1/6 (*.f64 (pow.f64 x 3) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 x (*.f64 1/6 (pow.f64 x 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 x (*.f64 1/6 (pow.f64 x 3))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (cbrt.f64 (-.f64 (pow.f64 x -2) 1/6))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 x (*.f64 1/6 (pow.f64 x 3)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 x (*.f64 1/6 (pow.f64 x 3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (-.f64 x (*.f64 1/6 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 x (*.f64 1/6 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 x (*.f64 1/6 (pow.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 x (*.f64 1/6 (pow.f64 x 3))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 x (*.f64 1/6 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (neg.f64 (*.f64 1/6 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 3) (-.f64 (pow.f64 x -2) 1/6) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 x (*.f64 1/6 (pow.f64 x 3))) 1 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (neg.f64 (*.f64 1/6 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 x (cbrt.f64 (-.f64 (pow.f64 x -2) 1/6))) 2) (*.f64 x (cbrt.f64 (-.f64 (pow.f64 x -2) 1/6))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (*.f64 1/6 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 x (*.f64 1/6 (pow.f64 x 3)))) (sqrt.f64 (-.f64 x (*.f64 1/6 (pow.f64 x 3)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 x (*.f64 1/6 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 x (*.f64 1/6 (pow.f64 x 3)))))))))

simplify42.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
470×rules-22-rev_binary64
349×rules-20_binary64
248×rules-24-rev_binary64
220×rules-6_binary64
214×rules-12-rev_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0615
11515
23415
36315
414715
541415
6167215
Stop Event
1×node limit
Counts
71 → 70
Calls
Call 1
Inputs
x
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
Outputs
x
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))

prune63.0ms (0.9%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New70070
Fresh011
Picked011
Done011
Total70373
Error
0b
Counts
73 → 3
Alt Table
StatusErrorProgram
▶48.4b
(log.f64 (/.f64 -1/2 x))
✓29.8b
(-.f64 x (*.f64 1/6 (pow.f64 x 3)))
✓47.1b
(log.f64 (+.f64 x (hypot.f64 1 x)))
Compiler

Compiled 964 to 757 computations (21.5% saved)

localize7.0ms (0.1%)

prune3.0ms (0%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New000
Fresh000
Picked011
Done022
Total033
Error
0b
Counts
3 → 3
Alt Table
StatusErrorProgram
✓48.4b
(log.f64 (/.f64 -1/2 x))
✓29.8b
(-.f64 x (*.f64 1/6 (pow.f64 x 3)))
✓47.1b
(log.f64 (+.f64 x (hypot.f64 1 x)))
Compiler

Compiled 20 to 15 computations (25% saved)

regimes93.0ms (1.3%)

Accuracy

Total 0.2b remaining (67.6%)

Threshold costs 0.2b (67.6%)

Counts
9 → 3
Compiler

Compiled 210 to 157 computations (25.2% saved)

bsearch66.0ms (0.9%)

Algorithm
2×binary-search
Calls

2 calls:

33.0ms
x
33.0ms
x
Steps
ItersPointRange
0.00095
∈ [
5.2955330551024805e-14
, 
1.7923353714197738
]
-1.25
∈ [
-99059076.39528789
, 
-5.6238645434338e-5
]
Compiler

Compiled 2 to 1 computations (50% saved)

simplify2.0ms (0%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
02137
12337
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 x -5/4) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 8762203435012037/9223372036854775808) (-.f64 x (*.f64 1/6 (pow.f64 x 3))) (log.f64 (+.f64 x (hypot.f64 1 x)))))
Outputs
(if (<=.f64 x -5/4) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 8762203435012037/9223372036854775808) (-.f64 x (*.f64 1/6 (pow.f64 x 3))) (log.f64 (+.f64 x (hypot.f64 1 x)))))

end105.0ms (1.5%)

Stop Event
1×done
Compiler

Compiled 72 to 53 computations (26.4% saved)

Profiling

Loading profile data...