Details

Time bar (total: 10.0s)

analyze98.0ms (1%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%100%0%0%0%0%2
25%25%75%0%0%0%0%3
50%50%50%0%0%0%0%4
62.5%62.5%37.5%0%0%0%0%5
68.8%68.7%31.2%0%0%0%0%6
71.9%71.8%28.1%0%0%0%0%7
73.4%73.4%26.5%0%0%0%0%8
74.2%74.2%25.8%0%0%0%0%9
74.6%74.6%25.4%0%0%0%0%10
74.8%74.8%25.2%0%0%0%0%11
74.9%74.9%25.1%0%0%0%0%12
Compiler

Compiled 11 to 8 computations (27.3% saved)

sample3.2s (32.2%)

Results
1.6s2601×body1024valid
698.0ms1188×body2048valid
466.0ms1292×body512valid
436.0ms3132×body256valid
33.0ms43×body4096valid
Bogosity

preprocess16.0ms (0.2%)

Algorithm
2×egg-herbie
Rules
2×+-commutative_binary64
1×1-exp_binary64
1×hypot-1-def_binary64
1×fma-def_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0812
1139
2149
011
Stop Event
1×saturated
1×saturated
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 11 to 8 computations (27.3% saved)

simplify7.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
2×+-commutative_binary64
1×1-exp_binary64
1×hypot-1-def_binary64
1×fma-def_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0812
1139
2149
Stop Event
1×saturated
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)))

eval1.0ms (0%)

Compiler

Compiled 16 to 11 computations (31.3% saved)

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New112
Fresh101
Picked000
Done000
Total213
Error
46.2b
Counts
3 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
▶46.2b
(log.f64 (+.f64 x (hypot.f64 1 x)))
Compiler

Compiled 7 to 5 computations (28.6% saved)

localize38.0ms (0.4%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(hypot.f64 1 x)
✓0.1b
(+.f64 x (hypot.f64 1 x))
✓3.2b
(log.f64 (+.f64 x (hypot.f64 1 x)))
Compiler

Compiled 17 to 11 computations (35.3% saved)

series6.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
1.0ms
x
@0
(log.f64 (+.f64 x (hypot.f64 1 x)))
1.0ms
x
@-inf
(log.f64 (+.f64 x (hypot.f64 1 x)))
1.0ms
x
@inf
(log.f64 (+.f64 x (hypot.f64 1 x)))
0.0ms
x
@-inf
(+.f64 x (hypot.f64 1 x))
0.0ms
x
@inf
(+.f64 x (hypot.f64 1 x))

rewrite66.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
619×pow1_binary64
575×add-log-exp_binary64
575×log1p-expm1-u_binary64
575×expm1-log1p-u_binary64
563×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0620
112120
2155920
Stop Event
1×node limit
Counts
3 → 73
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 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 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x)))) (log.f64 (-.f64 x (hypot.f64 1 x))))))) (#(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 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) 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 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 cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))))) (#(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 log1p.f64 (-.f64 (+.f64 x (hypot.f64 1 x)) 1))))) (#(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 -.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x x) (-.f64 x (hypot.f64 1 x))) (/.f64 (+.f64 1 (*.f64 x x)) (-.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((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 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) (sqrt.f64 (+.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 1 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x))) (/.f64 1 (-.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))) (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x)))))))) (#(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 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (+.f64 (+.f64 1 (*.f64 x x)) (-.f64 (*.f64 x x) (*.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x))) (-.f64 x (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (neg.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x)))) (neg.f64 (-.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x)) (-.f64 (hypot.f64 1 x) 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 (E.f64) (log.f64 (+.f64 x (hypot.f64 1 x))))))) (#(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 (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 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 sqrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.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 expm1.f64 (log1p.f64 (+.f64 x (hypot.f64 1 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 exp.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (hypot.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (hypot.f64 1 x) x)))) (#(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 (pow.f64 (cbrt.f64 (hypot.f64 1 x)) 2) (cbrt.f64 (hypot.f64 1 x)) x)))) (#(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 -.f64 (+.f64 1 (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)) (pow.f64 (cbrt.f64 (hypot.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.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 pow.f64 (hypot.f64 1 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (*.f64 x x)) 1/2)))) (#(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 pow.f64 (pow.f64 (hypot.f64 1 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (+.f64 1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.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 expm1.f64 (log1p.f64 (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (hypot.f64 1 x)))))))

simplify73.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
455×associate-/r*_binary64
407×associate-*l*_binary64
383×fma-def_binary64
320×+-commutative_binary64
318×associate-*r*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0110560
1332540
2882537
32574537
47619537
Stop Event
1×node limit
Counts
109 → 137
Calls
Call 1
Inputs
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) x))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) x)))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(+.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 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (+.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 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/8 (pow.f64 x 4)) x)))
(*.f64 2 x)
(+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 2 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 2 x) (*.f64 1/16 (/.f64 1 (pow.f64 x 5))))) (*.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 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 5/128 (/.f64 1 (pow.f64 x 7)))) (+.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 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/8 (pow.f64 x 4))))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/16 (pow.f64 x 6)) (*.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 1/2 (/.f64 1 x)) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(*.f64 -1 x)
(-.f64 (*.f64 -1 x) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 -1 x)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 -1 x)) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/16 (/.f64 1 (pow.f64 x 5)))))
Outputs
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) x))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) x)))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x)))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (log.f64 2) (/.f64 1/4 (*.f64 x x))))
(+.f64 (log.f64 2) (+.f64 (/.f64 1/4 (*.f64 x x)) (log.f64 x)))
(+.f64 (log.f64 2) (+.f64 (log.f64 x) (/.f64 1/4 (*.f64 x x))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (log.f64 2) (/.f64 1/4 (*.f64 x x)))) (/.f64 3/32 (pow.f64 x 4)))
(+.f64 (+.f64 (log.f64 2) (/.f64 1/4 (*.f64 x x))) (-.f64 (log.f64 x) (/.f64 3/32 (pow.f64 x 4))))
(+.f64 (log.f64 2) (-.f64 (+.f64 (log.f64 x) (/.f64 1/4 (*.f64 x x))) (/.f64 3/32 (pow.f64 x 4))))
(+.f64 (-.f64 (log.f64 2) (/.f64 3/32 (pow.f64 x 4))) (+.f64 (log.f64 x) (/.f64 1/4 (*.f64 x x))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (log.f64 2) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6))))) (/.f64 3/32 (pow.f64 x 4)))
(+.f64 (log.f64 x) (+.f64 (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6))) (-.f64 (log.f64 2) (/.f64 3/32 (pow.f64 x 4)))))
(+.f64 (+.f64 (log.f64 2) (/.f64 1/4 (*.f64 x x))) (+.f64 (/.f64 5/96 (pow.f64 x 6)) (-.f64 (log.f64 x) (/.f64 3/32 (pow.f64 x 4)))))
(+.f64 (log.f64 2) (+.f64 (/.f64 1/4 (*.f64 x x)) (+.f64 (/.f64 5/96 (pow.f64 x 6)) (-.f64 (log.f64 x) (/.f64 3/32 (pow.f64 x 4))))))
(+.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 (/.f64 -1 x)) (-.f64 (log.f64 1/2) (/.f64 1/4 (*.f64 x x))))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (/.f64 -1/4 (*.f64 x x))))
(-.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 (/.f64 -1/4 x) x)))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 (/.f64 -1 x)) (-.f64 (+.f64 (/.f64 3/32 (pow.f64 x 4)) (log.f64 1/2)) (/.f64 1/4 (*.f64 x x))))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (+.f64 (log.f64 1/2) (/.f64 -1/4 (*.f64 x x)))))
(+.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 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (/.f64 (/.f64 -1/4 x) x))))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 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))))
(+.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (-.f64 (/.f64 3/32 (pow.f64 x 4)) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6)))))
(+.f64 (/.f64 3/32 (pow.f64 x 4)) (-.f64 (+.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 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (+.f64 (/.f64 (/.f64 -1/4 x) x) (/.f64 -5/96 (pow.f64 x 6))))))
(-.f64 (log.f64 (/.f64 -1 x)) (+.f64 (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6))) (-.f64 (/.f64 -3/32 (pow.f64 x 4)) (log.f64 1/2))))
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 (fma.f64 (*.f64 x x) 1/2 1))
(+.f64 x (fma.f64 x (*.f64 x 1/2) 1))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/8 (pow.f64 x 4)) x)))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (fma.f64 -1/8 (pow.f64 x 4) x)))
(+.f64 1 (fma.f64 (*.f64 x x) 1/2 (fma.f64 (pow.f64 x 4) -1/8 x)))
(+.f64 x (fma.f64 x (*.f64 x 1/2) (fma.f64 (pow.f64 x 4) -1/8 1)))
(*.f64 2 x)
(*.f64 x 2)
(+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(fma.f64 2 x (/.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 (fma.f64 2 x (/.f64 1/2 x)) (/.f64 1/8 (pow.f64 x 3)))
(-.f64 (fma.f64 x 2 (/.f64 1/2 x)) (/.f64 1/8 (pow.f64 x 3)))
(+.f64 (fma.f64 x 2 (/.f64 1/2 x)) (/.f64 -1/8 (pow.f64 x 3)))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 2 x) (*.f64 1/16 (/.f64 1 (pow.f64 x 5))))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (fma.f64 2 x (/.f64 1/2 x)) (/.f64 1/16 (pow.f64 x 5))) (/.f64 1/8 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1/2 x) (fma.f64 x 2 (/.f64 1/16 (pow.f64 x 5)))) (/.f64 1/8 (pow.f64 x 3)))
(-.f64 (fma.f64 x 2 (/.f64 1/16 (pow.f64 x 5))) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/2 x)))
(+.f64 (/.f64 1/2 x) (-.f64 (fma.f64 x 2 (/.f64 1/16 (pow.f64 x 5))) (/.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 (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 1/8 (pow.f64 x 3)) (+.f64 (/.f64 -1/2 x) (/.f64 -1/16 (pow.f64 x 5))))
(-.f64 (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 5/128 (/.f64 1 (pow.f64 x 7)))) (+.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 5/128 (pow.f64 x 7)) (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5)))))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 5/128 (pow.f64 x 7)) (+.f64 (/.f64 -1/2 x) (/.f64 -1/16 (pow.f64 x 5)))))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (/.f64 -1/16 (pow.f64 x 5)) (-.f64 (/.f64 1/2 x) (/.f64 5/128 (pow.f64 x 7)))))
1
(+.f64 1 (*.f64 1/2 (pow.f64 x 2)))
(+.f64 1 (*.f64 (*.f64 x x) 1/2))
(fma.f64 (*.f64 x x) 1/2 1)
(fma.f64 x (*.f64 x 1/2) 1)
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/8 (pow.f64 x 4))))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (*.f64 (pow.f64 x 4) -1/8)))
(+.f64 1 (fma.f64 (*.f64 x x) 1/2 (*.f64 (pow.f64 x 4) -1/8)))
(fma.f64 x (*.f64 x 1/2) (fma.f64 (pow.f64 x 4) -1/8 1))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/16 (pow.f64 x 6)) (*.f64 -1/8 (pow.f64 x 4)))))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (fma.f64 1/16 (pow.f64 x 6) (*.f64 (pow.f64 x 4) -1/8))))
(+.f64 1 (fma.f64 (*.f64 x x) 1/2 (fma.f64 (pow.f64 x 4) -1/8 (*.f64 (pow.f64 x 6) 1/16))))
(+.f64 1 (fma.f64 (pow.f64 x 4) -1/8 (fma.f64 (*.f64 x x) 1/2 (*.f64 (pow.f64 x 6) 1/16))))
(+.f64 1 (fma.f64 x (*.f64 x 1/2) (fma.f64 (pow.f64 x 4) -1/8 (*.f64 (pow.f64 x 6) 1/16))))
x
(+.f64 (*.f64 1/2 (/.f64 1 x)) x)
(+.f64 x (/.f64 1/2 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 1/2 x) (/.f64 1/8 (pow.f64 x 3))))
(+.f64 x (+.f64 (/.f64 1/2 x) (/.f64 -1/8 (pow.f64 x 3))))
(-.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/8 (pow.f64 x 3)) x))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1/2 x) (-.f64 (+.f64 x (/.f64 1/16 (pow.f64 x 5))) (/.f64 1/8 (pow.f64 x 3))))
(+.f64 (+.f64 x (/.f64 1/16 (pow.f64 x 5))) (-.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3))))
(+.f64 x (-.f64 (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5))) (/.f64 1/8 (pow.f64 x 3))))
(+.f64 x (+.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/16 (pow.f64 x 5)) (/.f64 1/8 (pow.f64 x 3)))))
(*.f64 -1 x)
(neg.f64 x)
(-.f64 (*.f64 -1 x) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (neg.f64 x) (/.f64 1/2 x))
(fma.f64 x -1 (/.f64 -1/2 x))
(-.f64 (/.f64 -1/2 x) x)
(-.f64 (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 -1 x)) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (neg.f64 x) (/.f64 1/2 x)))
(+.f64 (-.f64 (/.f64 1/8 (pow.f64 x 3)) x) (/.f64 -1/2 x))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (/.f64 -1/2 x) x))
(-.f64 (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 -1 x)) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/16 (/.f64 1 (pow.f64 x 5)))))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (neg.f64 x) (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5)))))
(+.f64 (-.f64 (/.f64 1/8 (pow.f64 x 3)) x) (-.f64 (/.f64 -1/2 x) (/.f64 1/16 (pow.f64 x 5))))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (-.f64 (/.f64 -1/2 x) x) (/.f64 -1/16 (pow.f64 x 5))))

eval81.0ms (0.8%)

Compiler

Compiled 1814 to 1362 computations (24.9% saved)

prune36.0ms (0.4%)

Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New12512137
Fresh000
Picked011
Done000
Total12513138
Error
0.0b
Counts
138 → 13
Alt Table
Click to see full alt table
StatusErrorProgram
60.2b
(log.f64 (/.f64 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x)) (-.f64 (hypot.f64 1 x) x)))
49.7b
(log.f64 (/.f64 -1/2 x))
28.6b
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) x)))
48.5b
(log.f64 (+.f64 x (-.f64 x (/.f64 -1/2 x))))
▶28.5b
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) x))
✓46.2b
(log.f64 (+.f64 x (hypot.f64 1 x)))
▶49.7b
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (/.f64 (/.f64 -1/4 x) x)))
▶28.7b
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
49.9b
(log.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 -1/2 x) (/.f64 -1/16 (pow.f64 x 5)))))
▶49.4b
(log.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/2 x)))
46.2b
(-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
27.5b
x
▶49.3b
(log.f64 (*.f64 x 2))
Compiler

Compiled 271 to 206 computations (24% saved)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(pow.f64 x 5)
✓0.1b
(*.f64 3/40 (pow.f64 x 5))
✓0.1b
(*.f64 -1/6 (pow.f64 x 3))
✓18.6b
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) x))
Compiler

Compiled 42 to 32 computations (23.8% saved)

series9.0ms (0.1%)

Counts
4 → 6
Calls

12 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
(pow.f64 x 5)
2.0ms
x
@-inf
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) x))
1.0ms
x
@inf
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) x))
1.0ms
x
@inf
(pow.f64 x 5)
1.0ms
x
@0
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) x))

rewrite144.0ms (1.4%)

Algorithm
1×batch-egg-rewrite
Rules
556×log-prod_binary64
547×fma-def_binary64
332×pow2_binary64
319×fma-neg_binary64
228×expm1-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01233
127933
2351833
Stop Event
1×node limit
Counts
4 → 139
Calls
Call 1
Inputs
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) x))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 3/40 (pow.f64 x 5))
(pow.f64 x 5)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (pow.f64 x 6) 1/36) (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 (fma.f64 3/40 (pow.f64 x 5) x)))) (/.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2) (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 (fma.f64 3/40 (pow.f64 x 5) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))) (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))) 2) (cbrt.f64 (fma.f64 -1/6 (pow.f64 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 3/40 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 3/40) (pow.f64 x 5))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 3/40) (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 3/40) (pow.f64 x 5)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 3/40) (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 3/40 (pow.f64 x 5)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 3/40 (pow.f64 x 5)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 10) 9/1600) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 3/40 (pow.f64 x 5))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 3/40) (pow.f64 x 5/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 15) 27/64000) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 10) 9/1600))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 3/40) (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 3/40 (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 15) 27/64000))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 3/40 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 3/40 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 3/40 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 3/40 (pow.f64 x 5))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 x 5))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 x 5))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x 5)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 x 5))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 5) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 x 5))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 5) (cbrt.f64 (pow.f64 x 10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x 10)) (pow.f64 (cbrt.f64 x) 5))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 5/2) (pow.f64 x 5/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 10) (pow.f64 (cbrt.f64 x) 5))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 x 10))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 x 15))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 5 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 5 (log.f64 x)) 1))))))

simplify148.0ms (1.5%)

Algorithm
1×egg-herbie
Rules
1204×sqr-pow_binary64
710×cube-prod_binary64
681×fabs-mul_binary64
660×pow-sqr_binary64
416×unswap-sqr_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01251
13051
26051
313151
426051
571351
6107751
7171951
8182751
9198951
10220251
11253251
12298851
13358651
14433851
15527051
16578051
17627251
18667051
19699051
20715251
Stop Event
1×node limit
Counts
145 → 145
Calls
Call 1
Inputs
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(*.f64 3/40 (pow.f64 x 5))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 3/40 (pow.f64 x 5)))
(*.f64 3/40 (pow.f64 x 5))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 3/40 (pow.f64 x 5)))
Outputs
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(*.f64 3/40 (pow.f64 x 5))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 3/40 (pow.f64 x 5)))
(fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))
(*.f64 3/40 (pow.f64 x 5))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 3/40 (pow.f64 x 5)))
(fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))

localize38.0ms (0.4%)

Compiler

Compiled 10 to 7 computations (30% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiled 19 to 14 computations (26.3% saved)

series1.0ms (0%)

Counts
1 → 3
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@inf
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
0.0ms
x
@0
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
0.0ms
x
@-inf
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)

rewrite73.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
744×pow1_binary64
702×add-log-exp_binary64
702×log1p-expm1-u_binary64
702×expm1-log1p-u_binary64
688×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
078
11598
219138
Stop Event
1×node limit
Counts
1 → 35
Calls
Call 1
Inputs
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (pow.f64 x 6) 1/36) (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 2) (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/216)) (/.f64 1 (+.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x (-.f64 x (*.f64 -1/6 (pow.f64 x 3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x x)) (/.f64 1 (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x (-.f64 x (*.f64 -1/6 (pow.f64 x 3))))) (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/216))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x) (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/216)) (+.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x (-.f64 x (*.f64 -1/6 (pow.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/216)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 -1/6 (*.f64 (pow.f64 x 3) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x x)) (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/216))) (neg.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x (-.f64 x (*.f64 -1/6 (pow.f64 x 3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 (pow.f64 x 6) 1/36)) (-.f64 x (*.f64 -1/6 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/6 (pow.f64 x 3) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 3) -1/6 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 -1/6 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 -1/6 (pow.f64 x 3)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 x (cbrt.f64 -1/6)) 2) (*.f64 x (cbrt.f64 -1/6)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 -1/6 (pow.f64 x 3)))))) (#(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)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 -1/6 (pow.f64 x 3)))))))

simplify158.0ms (1.6%)

Algorithm
1×egg-herbie
Rules
1274×sqr-pow_binary64
666×pow-sqr_binary64
529×cube-prod_binary64
471×fabs-mul_binary64
438×associate-*l*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0615
11515
23215
35615
411415
532615
6118015
7186915
8195615
9208915
10224715
11248615
12280815
13323115
14373315
15433515
16505715
17537815
18566415
19588615
20606415
21614415
22708415
Stop Event
1×node limit
Counts
38 → 37
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))

localize17.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/2 x))
✓0.1b
(/.f64 1/8 (pow.f64 x 3))
✓12.1b
(log.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/2 x)))
Compiler

Compiled 35 to 27 computations (22.9% saved)

series7.0ms (0.1%)

Counts
3 → 24
Calls

9 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/2 x))
1.0ms
x
@0
(log.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/2 x)))
1.0ms
x
@inf
(log.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/2 x)))
1.0ms
x
@-inf
(log.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/2 x)))
1.0ms
x
@0
(/.f64 1/8 (pow.f64 x 3))

rewrite89.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
914×prod-diff_binary64
468×log-prod_binary64
302×fma-def_binary64
277×pow2_binary64
193×expm1-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01035
123531
2310431
Stop Event
1×node limit
Counts
3 → 161
Calls
Call 1
Inputs
(log.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/2 x)))
(/.f64 1/8 (pow.f64 x 3))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/2 x))
Outputs
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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 1/8 (neg.f64 x) (*.f64 (pow.f64 x 3) 1/2)) (*.f64 (pow.f64 x 3) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -1 x (*.f64 (*.f64 (pow.f64 x 3) 8) 1/2)) (*.f64 (*.f64 (pow.f64 x 3) 8) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -1/8 (neg.f64 x) (*.f64 (neg.f64 (pow.f64 x 3)) 1/2)) (*.f64 (neg.f64 (pow.f64 x 3)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (*.f64 (*.f64 x -2) 1/8)) (*.f64 (*.f64 x -2) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 1/2 (pow.f64 x 3) (*.f64 (neg.f64 x) 1/8)) (*.f64 (neg.f64 x) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -1/2 (*.f64 (pow.f64 x 3) 8) x) (*.f64 x (*.f64 (pow.f64 x 3) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 x 3) 8 (*.f64 (*.f64 x -2) 1)) (*.f64 (*.f64 x -2) (*.f64 (pow.f64 x 3) 8)))))) (#(struct:change #<rule 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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/8 (pow.f64 x -3)) 1 (/.f64 -1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/2 (/.f64 1 x) (*.f64 1/8 (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -1/2 x) 1 (*.f64 1/8 (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 1/8 (pow.f64 x -3)) (/.f64 -1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 -1/2 x) (*.f64 1/8 (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/8 (/.f64 1 (neg.f64 (pow.f64 x 3))) (/.f64 -1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 -1/2 x)) (cbrt.f64 (/.f64 1/4 (*.f64 x x))) (*.f64 1/8 (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 1/4 (*.f64 x x))) (cbrt.f64 (/.f64 -1/2 x)) (*.f64 1/8 (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1/2 x) (pow.f64 (/.f64 1/2 x) 2) (/.f64 -1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (/.f64 1/2 x) 2) (/.f64 1/2 x) (/.f64 -1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 -1/2 x)) (sqrt.f64 (/.f64 -1/2 x)) (*.f64 1/8 (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 1/8) (pow.f64 x 3/2)) (/.f64 (sqrt.f64 1/8) (pow.f64 x 3/2)) (/.f64 -1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 (/.f64 1 (neg.f64 x)) (*.f64 1/8 (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x -3) 1/8 (/.f64 -1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 x) -1/2 (*.f64 1/8 (pow.f64 x -3)))))))

simplify59.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
842×sub-neg_binary64
790×fma-def_binary64
467×unswap-sqr_binary64
326×associate-+l-_binary64
313×associate-/r*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
067406
1180396
2482394
31618394
46555394
Stop Event
1×node limit
Counts
185 → 188
Calls
Call 1
Inputs
(+.f64 (*.f64 -3 (log.f64 x)) (log.f64 1/8))
(+.f64 (*.f64 -3 (log.f64 x)) (+.f64 (*.f64 -4 (pow.f64 x 2)) (log.f64 1/8)))
(+.f64 (*.f64 -3 (log.f64 x)) (+.f64 (*.f64 -4 (pow.f64 x 2)) (+.f64 (log.f64 1/8) (*.f64 -8 (pow.f64 x 4)))))
(+.f64 (*.f64 -3 (log.f64 x)) (+.f64 (*.f64 -4 (pow.f64 x 2)) (+.f64 (log.f64 1/8) (+.f64 (*.f64 -8 (pow.f64 x 4)) (*.f64 -64/3 (pow.f64 x 6))))))
(+.f64 (log.f64 -1/2) (log.f64 (/.f64 1 x)))
(-.f64 (+.f64 (log.f64 -1/2) (log.f64 (/.f64 1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 -1/2) (log.f64 (/.f64 1 x))) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (log.f64 -1/2) (log.f64 (/.f64 1 x))) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 1/192 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(+.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 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 1/192 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(/.f64 1/8 (pow.f64 x 3))
(-.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 1/2 (/.f64 1 x)))
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))
(/.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 1/2 (/.f64 1 x)))
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))
(/.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 1/2 (/.f64 1 x)))
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))
Outputs
(+.f64 (*.f64 -3 (log.f64 x)) (log.f64 1/8))
(fma.f64 -3 (log.f64 x) (log.f64 1/8))
(+.f64 (*.f64 -3 (log.f64 x)) (+.f64 (*.f64 -4 (pow.f64 x 2)) (log.f64 1/8)))
(fma.f64 -3 (log.f64 x) (fma.f64 -4 (*.f64 x x) (log.f64 1/8)))
(fma.f64 -3 (log.f64 x) (fma.f64 x (*.f64 x -4) (log.f64 1/8)))
(+.f64 (*.f64 -3 (log.f64 x)) (+.f64 (*.f64 -4 (pow.f64 x 2)) (+.f64 (log.f64 1/8) (*.f64 -8 (pow.f64 x 4)))))
(fma.f64 -3 (log.f64 x) (+.f64 (fma.f64 -4 (*.f64 x x) (log.f64 1/8)) (*.f64 -8 (pow.f64 x 4))))
(fma.f64 -3 (log.f64 x) (fma.f64 -4 (*.f64 x x) (fma.f64 -8 (pow.f64 x 4) (log.f64 1/8))))
(fma.f64 -3 (log.f64 x) (fma.f64 x (*.f64 x -4) (fma.f64 -8 (pow.f64 x 4) (log.f64 1/8))))
(+.f64 (*.f64 -3 (log.f64 x)) (+.f64 (*.f64 -4 (pow.f64 x 2)) (+.f64 (log.f64 1/8) (+.f64 (*.f64 -8 (pow.f64 x 4)) (*.f64 -64/3 (pow.f64 x 6))))))
(fma.f64 -3 (log.f64 x) (fma.f64 -4 (*.f64 x x) (+.f64 (log.f64 1/8) (fma.f64 -8 (pow.f64 x 4) (*.f64 -64/3 (pow.f64 x 6))))))
(+.f64 (fma.f64 -3 (log.f64 x) (fma.f64 -4 (*.f64 x x) (log.f64 1/8))) (fma.f64 -8 (pow.f64 x 4) (*.f64 -64/3 (pow.f64 x 6))))
(fma.f64 -3 (log.f64 x) (fma.f64 x (*.f64 x -4) (fma.f64 -8 (pow.f64 x 4) (fma.f64 -64/3 (pow.f64 x 6) (log.f64 1/8)))))
(fma.f64 x (*.f64 x -4) (fma.f64 -64/3 (pow.f64 x 6) (fma.f64 -8 (pow.f64 x 4) (fma.f64 -3 (log.f64 x) (log.f64 1/8)))))
(+.f64 (log.f64 -1/2) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 -1/2) (neg.f64 (log.f64 x)))
(-.f64 (log.f64 -1/2) (log.f64 x))
(-.f64 (+.f64 (log.f64 -1/2) (log.f64 (/.f64 1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 -1/2) (-.f64 (neg.f64 (log.f64 x)) (/.f64 1/4 (*.f64 x x))))
(+.f64 (-.f64 (log.f64 -1/2) (log.f64 x)) (/.f64 -1/4 (*.f64 x x)))
(-.f64 (+.f64 (log.f64 -1/2) (log.f64 (/.f64 1 x))) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (log.f64 -1/2) (neg.f64 (log.f64 x))) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1/32 (pow.f64 x 4))))
(+.f64 (-.f64 (-.f64 (log.f64 -1/2) (log.f64 x)) (/.f64 1/32 (pow.f64 x 4))) (/.f64 -1/4 (*.f64 x x)))
(+.f64 (-.f64 (log.f64 -1/2) (log.f64 x)) (+.f64 (/.f64 -1/4 (*.f64 x x)) (/.f64 -1/32 (pow.f64 x 4))))
(+.f64 (log.f64 -1/2) (+.f64 (/.f64 -1/4 (*.f64 x x)) (-.f64 (/.f64 -1/32 (pow.f64 x 4)) (log.f64 x))))
(-.f64 (+.f64 (log.f64 -1/2) (log.f64 (/.f64 1 x))) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 1/192 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(-.f64 (+.f64 (log.f64 -1/2) (neg.f64 (log.f64 x))) (+.f64 (/.f64 1/32 (pow.f64 x 4)) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1/192 (pow.f64 x 6)))))
(-.f64 (+.f64 (-.f64 (-.f64 (log.f64 -1/2) (log.f64 x)) (/.f64 1/32 (pow.f64 x 4))) (/.f64 -1/4 (*.f64 x x))) (/.f64 1/192 (pow.f64 x 6)))
(+.f64 (+.f64 (/.f64 -1/4 (*.f64 x x)) (/.f64 -1/32 (pow.f64 x 4))) (-.f64 (-.f64 (log.f64 -1/2) (log.f64 x)) (/.f64 1/192 (pow.f64 x 6))))
(+.f64 (-.f64 (log.f64 -1/2) (log.f64 x)) (-.f64 (/.f64 -1/4 (*.f64 x x)) (-.f64 (/.f64 1/32 (pow.f64 x 4)) (/.f64 -1/192 (pow.f64 x 6)))))
(+.f64 (log.f64 -1/2) (-.f64 (-.f64 (/.f64 -1/32 (pow.f64 x 4)) (log.f64 x)) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1/192 (pow.f64 x 6)))))
(+.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 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (/.f64 1/4 (*.f64 x x)))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (/.f64 -1/4 (*.f64 x x))))
(-.f64 (log.f64 (/.f64 -1 x)) (-.f64 (/.f64 1/4 (*.f64 x x)) (log.f64 1/2)))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 x 4))) (*.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 1/32 (pow.f64 x 4))))
(+.f64 (log.f64 (/.f64 -1 x)) (-.f64 (+.f64 (log.f64 1/2) (/.f64 -1/4 (*.f64 x x))) (/.f64 1/32 (pow.f64 x 4))))
(-.f64 (+.f64 (log.f64 1/2) (/.f64 -1/4 (*.f64 x x))) (-.f64 (/.f64 1/32 (pow.f64 x 4)) (log.f64 (/.f64 -1 x))))
(+.f64 (/.f64 -1/4 (*.f64 x x)) (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (/.f64 -1/32 (pow.f64 x 4)))))
(+.f64 (-.f64 (log.f64 (/.f64 -1 x)) (-.f64 (/.f64 1/4 (*.f64 x x)) (log.f64 1/2))) (/.f64 -1/32 (pow.f64 x 4)))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 1/192 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (log.f64 (/.f64 -1 x)) (-.f64 (log.f64 1/2) (+.f64 (/.f64 1/32 (pow.f64 x 4)) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1/192 (pow.f64 x 6))))))
(+.f64 (log.f64 (/.f64 -1 x)) (-.f64 (-.f64 (log.f64 1/2) (/.f64 1/32 (pow.f64 x 4))) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1/192 (pow.f64 x 6)))))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (-.f64 (+.f64 (log.f64 1/2) (/.f64 -1/4 (*.f64 x x))) (/.f64 1/192 (pow.f64 x 6))) (/.f64 -1/32 (pow.f64 x 4))))
(+.f64 (log.f64 1/2) (-.f64 (/.f64 -1/32 (pow.f64 x 4)) (+.f64 (/.f64 1/4 (*.f64 x x)) (-.f64 (/.f64 1/192 (pow.f64 x 6)) (log.f64 (/.f64 -1 x))))))
(/.f64 1/8 (pow.f64 x 3))
(-.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 (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 (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 (pow.f64 x 3)) (/.f64 -1/2 x))
(/.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 (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 (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 (pow.f64 x 3)) (/.f64 -1/2 x))
(/.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 (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 (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 (pow.f64 x 3)) (/.f64 -1/2 x))

localize23.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(log.f64 (/.f64 -1 x))
✓0.0b
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (/.f64 (/.f64 -1/4 x) x)))
✓0.1b
(/.f64 (/.f64 -1/4 x) x)
Compiler

Compiled 43 to 32 computations (25.6% saved)

series67.0ms (0.7%)

Counts
3 → 32
Calls

9 calls:

TimeVariablePointExpression
27.0ms
x
@0
(log.f64 (/.f64 -1 x))
10.0ms
x
@-inf
(log.f64 (/.f64 -1 x))
9.0ms
x
@inf
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (/.f64 (/.f64 -1/4 x) x)))
7.0ms
x
@0
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (/.f64 (/.f64 -1/4 x) x)))
5.0ms
x
@-inf
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (/.f64 (/.f64 -1/4 x) x)))

rewrite91.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
594×log-prod_binary64
469×fma-def_binary64
339×pow2_binary64
268×fma-neg_binary64
233×pow1/3_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01233
126931
2375231
Stop Event
1×node limit
Counts
3 → 183
Calls
Call 1
Inputs
(/.f64 (/.f64 -1/4 x) x)
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (/.f64 (/.f64 -1/4 x) x)))
(log.f64 (/.f64 -1 x))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (log1p.f64 -2) (-.f64 (log.f64 x) (+.f64 (/.f64 -1/4 (*.f64 x x)) (log.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 -1/4 (*.f64 x x)) (log.f64 (*.f64 (/.f64 -1 x) 1/2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 2) (-.f64 (log.f64 (/.f64 (/.f64 -1 x) 1/2)) (/.f64 -1/4 (*.f64 x x)))) (/.f64 (pow.f64 (+.f64 (/.f64 -1/4 (*.f64 x x)) (log.f64 1/2)) 2) (-.f64 (log.f64 (/.f64 (/.f64 -1 x) 1/2)) (/.f64 -1/4 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (+.f64 (/.f64 -1/4 (*.f64 x x)) (log.f64 1/2)) (log1p.f64 -2)) (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 -1/4 (*.f64 x x)) (log.f64 (*.f64 (/.f64 -1 x) 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 -1/4 (*.f64 x x)) (log.f64 (*.f64 (/.f64 -1 x) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (/.f64 -1 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 -2) (neg.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2 (log.f64 (/.f64 -1 (cbrt.f64 x)))) (log.f64 (/.f64 -1 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (log.f64 x)) (log1p.f64 -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (/.f64 -1 (cbrt.f64 x))) (*.f64 2 (log.f64 (/.f64 -1 (cbrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (/.f64 -1 x))) (log.f64 (sqrt.f64 (/.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (/.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log1p.f64 -2) (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log1p.f64 -2) (log.f64 (neg.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log1p.f64 -2) (log.f64 (neg.f64 (*.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log.f64 (/.f64 -1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (log.f64 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (log.f64 (*.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (log.f64 (/.f64 (*.f64 x -1) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (/.f64 -1 (sqrt.f64 x))) (log.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (/.f64 -1 (pow.f64 (cbrt.f64 x) 2))) (log.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (log.f64 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (log.f64 (*.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (/.f64 -1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (/.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (/.f64 -1 x))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 -1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 -1 x))) 2) (cbrt.f64 (log.f64 (/.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (/.f64 -1 x))) (sqrt.f64 (log.f64 (/.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3 (log.f64 (/.f64 -1 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (*.f64 3 (log.f64 (/.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (log.f64 (sqrt.f64 (/.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log1p.f64 -2) 3) (pow.f64 (log.f64 x) 3)) (+.f64 (pow.f64 (log1p.f64 -2) 2) (+.f64 (pow.f64 (log.f64 x) 2) (*.f64 (log1p.f64 -2) (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log1p.f64 -2) 2) (pow.f64 (log.f64 x) 2)) (log.f64 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (/.f64 -1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (/.f64 -1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (/.f64 -1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (log.f64 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (log.f64 (*.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (log.f64 (/.f64 (*.f64 x -1) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (/.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (/.f64 -1 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (/.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (log.f64 (/.f64 -1 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log1p.f64 -2) (neg.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 -2)) 2) (cbrt.f64 (log1p.f64 -2)) (neg.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log1p.f64 -2)) (sqrt.f64 (log1p.f64 -2)) (neg.f64 (log.f64 x)))))))

simplify59.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
840×fma-neg_binary64
777×times-frac_binary64
540×associate-/l/_binary64
383×associate-*l/_binary64
330×associate-/l*_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
031417
169341
2144341
3327341
4884341
52745341
Stop Event
1×node limit
Counts
215 → 195
Calls
Call 1
Inputs
(/.f64 -1/4 (pow.f64 x 2))
(/.f64 -1/4 (pow.f64 x 2))
(/.f64 -1/4 (pow.f64 x 2))
(/.f64 -1/4 (pow.f64 x 2))
(/.f64 -1/4 (pow.f64 x 2))
(/.f64 -1/4 (pow.f64 x 2))
(/.f64 -1/4 (pow.f64 x 2))
(/.f64 -1/4 (pow.f64 x 2))
(/.f64 -1/4 (pow.f64 x 2))
(/.f64 -1/4 (pow.f64 x 2))
(/.f64 -1/4 (pow.f64 x 2))
(/.f64 -1/4 (pow.f64 x 2))
(/.f64 -1/4 (pow.f64 x 2))
(-.f64 (+.f64 (log.f64 1/2) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 x)))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 1/2) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 x)))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 1/2) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 x)))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 (/.f64 1 x)) (+.f64 (log.f64 -1) (log.f64 1/2)))
(-.f64 (+.f64 (log.f64 (/.f64 1 x)) (+.f64 (log.f64 1/2) (log.f64 -1))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 (/.f64 1 x)) (+.f64 (log.f64 1/2) (log.f64 -1))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 (/.f64 1 x)) (+.f64 (log.f64 1/2) (log.f64 -1))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.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 (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 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 -1) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 -1) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 -1) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 -1) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 (/.f64 1 x)) (log.f64 -1))
(+.f64 (log.f64 (/.f64 1 x)) (log.f64 -1))
(+.f64 (log.f64 (/.f64 1 x)) (log.f64 -1))
(+.f64 (log.f64 (/.f64 1 x)) (log.f64 -1))
Outputs
(/.f64 -1/4 (pow.f64 x 2))
(/.f64 -1/4 (*.f64 x x))
(/.f64 -1/4 (pow.f64 x 2))
(/.f64 -1/4 (*.f64 x x))
(/.f64 -1/4 (pow.f64 x 2))
(/.f64 -1/4 (*.f64 x x))
(/.f64 -1/4 (pow.f64 x 2))
(/.f64 -1/4 (*.f64 x x))
(/.f64 -1/4 (pow.f64 x 2))
(/.f64 -1/4 (*.f64 x x))
(/.f64 -1/4 (pow.f64 x 2))
(/.f64 -1/4 (*.f64 x x))
(/.f64 -1/4 (pow.f64 x 2))
(/.f64 -1/4 (*.f64 x x))
(/.f64 -1/4 (pow.f64 x 2))
(/.f64 -1/4 (*.f64 x x))
(/.f64 -1/4 (pow.f64 x 2))
(/.f64 -1/4 (*.f64 x x))
(/.f64 -1/4 (pow.f64 x 2))
(/.f64 -1/4 (*.f64 x x))
(/.f64 -1/4 (pow.f64 x 2))
(/.f64 -1/4 (*.f64 x x))
(/.f64 -1/4 (pow.f64 x 2))
(/.f64 -1/4 (*.f64 x x))
(/.f64 -1/4 (pow.f64 x 2))
(/.f64 -1/4 (*.f64 x x))
(-.f64 (+.f64 (log.f64 1/2) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 x)))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 1/2) (-.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 x))) (/.f64 1/4 (*.f64 x x))))
(+.f64 (log.f64 1/2) (+.f64 (log.f64 (/.f64 -1 x)) (/.f64 -1/4 (*.f64 x x))))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (/.f64 -1/4 (*.f64 x x))))
(-.f64 (+.f64 (log.f64 1/2) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 x)))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 1/2) (-.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 x))) (/.f64 1/4 (*.f64 x x))))
(+.f64 (log.f64 1/2) (+.f64 (log.f64 (/.f64 -1 x)) (/.f64 -1/4 (*.f64 x x))))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (/.f64 -1/4 (*.f64 x x))))
(-.f64 (+.f64 (log.f64 1/2) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 x)))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 1/2) (-.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 x))) (/.f64 1/4 (*.f64 x x))))
(+.f64 (log.f64 1/2) (+.f64 (log.f64 (/.f64 -1 x)) (/.f64 -1/4 (*.f64 x x))))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (/.f64 -1/4 (*.f64 x x))))
(+.f64 (log.f64 (/.f64 1 x)) (+.f64 (log.f64 -1) (log.f64 1/2)))
(+.f64 (log.f64 1/2) (+.f64 (log.f64 -1) (neg.f64 (log.f64 x))))
(+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x)))
(-.f64 (+.f64 (log.f64 (/.f64 1 x)) (+.f64 (log.f64 1/2) (log.f64 -1))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 1/2) (-.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 x))) (/.f64 1/4 (*.f64 x x))))
(+.f64 (log.f64 1/2) (+.f64 (log.f64 (/.f64 -1 x)) (/.f64 -1/4 (*.f64 x x))))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (/.f64 -1/4 (*.f64 x x))))
(-.f64 (+.f64 (log.f64 (/.f64 1 x)) (+.f64 (log.f64 1/2) (log.f64 -1))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 1/2) (-.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 x))) (/.f64 1/4 (*.f64 x x))))
(+.f64 (log.f64 1/2) (+.f64 (log.f64 (/.f64 -1 x)) (/.f64 -1/4 (*.f64 x x))))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (/.f64 -1/4 (*.f64 x x))))
(-.f64 (+.f64 (log.f64 (/.f64 1 x)) (+.f64 (log.f64 1/2) (log.f64 -1))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 1/2) (-.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 x))) (/.f64 1/4 (*.f64 x x))))
(+.f64 (log.f64 1/2) (+.f64 (log.f64 (/.f64 -1 x)) (/.f64 -1/4 (*.f64 x x))))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (/.f64 -1/4 (*.f64 x x))))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
(+.f64 (log.f64 1/2) (+.f64 (log.f64 -1) (neg.f64 (log.f64 x))))
(+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x)))
(-.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 (log.f64 -1) (neg.f64 (log.f64 x))) (/.f64 1/4 (*.f64 x x))))
(+.f64 (log.f64 1/2) (+.f64 (log.f64 (/.f64 -1 x)) (/.f64 -1/4 (*.f64 x x))))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (/.f64 -1/4 (*.f64 x x))))
(-.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 (log.f64 -1) (neg.f64 (log.f64 x))) (/.f64 1/4 (*.f64 x x))))
(+.f64 (log.f64 1/2) (+.f64 (log.f64 (/.f64 -1 x)) (/.f64 -1/4 (*.f64 x x))))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (/.f64 -1/4 (*.f64 x x))))
(-.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 (log.f64 -1) (neg.f64 (log.f64 x))) (/.f64 1/4 (*.f64 x x))))
(+.f64 (log.f64 1/2) (+.f64 (log.f64 (/.f64 -1 x)) (/.f64 -1/4 (*.f64 x x))))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (/.f64 -1/4 (*.f64 x x))))
(+.f64 (log.f64 -1) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 -1) (neg.f64 (log.f64 x)))
(log.f64 (/.f64 -1 x))
(+.f64 (log.f64 -1) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 -1) (neg.f64 (log.f64 x)))
(log.f64 (/.f64 -1 x))
(+.f64 (log.f64 -1) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 -1) (neg.f64 (log.f64 x)))
(log.f64 (/.f64 -1 x))
(+.f64 (log.f64 -1) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 -1) (neg.f64 (log.f64 x)))
(log.f64 (/.f64 -1 x))
(+.f64 (log.f64 (/.f64 1 x)) (log.f64 -1))
(+.f64 (log.f64 -1) (neg.f64 (log.f64 x)))
(log.f64 (/.f64 -1 x))
(+.f64 (log.f64 (/.f64 1 x)) (log.f64 -1))
(+.f64 (log.f64 -1) (neg.f64 (log.f64 x)))
(log.f64 (/.f64 -1 x))
(+.f64 (log.f64 (/.f64 1 x)) (log.f64 -1))
(+.f64 (log.f64 -1) (neg.f64 (log.f64 x)))
(log.f64 (/.f64 -1 x))
(+.f64 (log.f64 (/.f64 1 x)) (log.f64 -1))
(+.f64 (log.f64 -1) (neg.f64 (log.f64 x)))
(log.f64 (/.f64 -1 x))

eval316.0ms (3.2%)

Compiler

Compiled 10204 to 7869 computations (22.9% saved)

prune113.0ms (1.1%)

Pruning

13 alts after pruning (9 fresh and 4 done)

PrunedKeptTotal
New5802582
Fresh077
Picked101
Done145
Total58213595
Error
0.0b
Counts
595 → 13
Alt Table
Click to see full alt table
StatusErrorProgram
60.2b
(log.f64 (/.f64 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x)) (-.f64 (hypot.f64 1 x) x)))
▶49.7b
(log.f64 (/.f64 -1/2 x))
▶28.6b
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) x)))
48.5b
(log.f64 (+.f64 x (-.f64 x (/.f64 -1/2 x))))
✓28.5b
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) x))
✓46.2b
(log.f64 (+.f64 x (hypot.f64 1 x)))
✓28.7b
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
▶49.9b
(log.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 -1/2 x) (/.f64 -1/16 (pow.f64 x 5)))))
▶63.4b
(+.f64 (log1p.f64 (-.f64 (/.f64 -1 x) 1)) (+.f64 (log.f64 1/2) (/.f64 (/.f64 -1/4 x) x)))
46.2b
(-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
27.5b
x
✓49.3b
(log.f64 (*.f64 x 2))
▶49.7b
(*.f64 (+.f64 (/.f64 -1/4 (*.f64 x x)) (log.f64 (*.f64 (/.f64 -1 x) 1/2))) 1)
Compiler

Compiled 256 to 195 computations (23.8% saved)

localize64.0ms (0.6%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(*.f64 3/40 (pow.f64 x 5))
✓0.1b
(*.f64 -5/112 (pow.f64 x 7))
0.1b
(*.f64 -1/6 (pow.f64 x 3))
✓21.7b
(+.f64 (*.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) x))
Compiler

Compiled 71 to 55 computations (22.5% saved)

series4.0ms (0%)

Counts
2 → 6
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(+.f64 (*.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) x))
1.0ms
x
@0
(+.f64 (*.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) x))
1.0ms
x
@0
(*.f64 -5/112 (pow.f64 x 7))
0.0ms
x
@inf
(*.f64 -5/112 (pow.f64 x 7))
0.0ms
x
@-inf
(*.f64 -5/112 (pow.f64 x 7))

rewrite84.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
565×log-prod_binary64
531×fma-def_binary64
345×pow2_binary64
294×fma-neg_binary64
235×expm1-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01222
127922
2361622
Stop Event
1×node limit
Counts
2 → 102
Calls
Call 1
Inputs
(+.f64 (*.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) x))
(*.f64 -5/112 (pow.f64 x 7))
Outputs
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3/40 (pow.f64 x 5) (*.f64 -5/112 (pow.f64 x 7))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 -5/112) (pow.f64 x 7/2)) (*.f64 (sqrt.f64 -5/112) (pow.f64 x 7/2)) (+.f64 x (*.f64 3/40 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 (pow.f64 x 21) -125/1404928 (pow.f64 x 3)) (/.f64 1 (fma.f64 x (-.f64 x (*.f64 -5/112 (pow.f64 x 7))) (*.f64 (pow.f64 x 14) 25/12544))) (*.f64 3/40 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 (pow.f64 x 14) 25/12544 (neg.f64 (*.f64 x x))) (/.f64 1 (fma.f64 -5/112 (pow.f64 x 7) (neg.f64 x))) (*.f64 3/40 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 5/2) (*.f64 (pow.f64 x 5/2) 3/40) (fma.f64 -5/112 (pow.f64 x 7) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 7/2) (*.f64 (pow.f64 x 7/2) -5/112) (+.f64 x (*.f64 3/40 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 3/40 (pow.f64 x 5) (*.f64 -5/112 (pow.f64 x 7))) 1 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) (*.f64 -5/112 (pow.f64 x 7)))) 2) (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) (*.f64 -5/112 (pow.f64 x 7)))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 3/40 (pow.f64 x 5) (*.f64 -5/112 (pow.f64 x 7)))) (sqrt.f64 (fma.f64 3/40 (pow.f64 x 5) (*.f64 -5/112 (pow.f64 x 7)))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 3/40 (cbrt.f64 (pow.f64 x 10))) (pow.f64 (cbrt.f64 x) 5) (fma.f64 -5/112 (pow.f64 x 7) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 3/40 (pow.f64 x 5/2)) (pow.f64 x 5/2) (fma.f64 -5/112 (pow.f64 x 7) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -5/112 (cbrt.f64 (pow.f64 x 14))) (pow.f64 (cbrt.f64 x) 7) (+.f64 x (*.f64 3/40 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -5/112 (pow.f64 x 7/2)) (pow.f64 x 7/2) (+.f64 x (*.f64 3/40 (pow.f64 x 5))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 -5/112 (pow.f64 x 7)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -5/112) (pow.f64 x 7))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -5/112) (pow.f64 x 7)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -5/112) (pow.f64 x 7)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -5/112) (pow.f64 x 7)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -5/112 (pow.f64 x 7)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -5/112 (pow.f64 x 7)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 14) 25/12544) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -5/112 (pow.f64 x 7))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 -5/112) (pow.f64 x 7/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 21) -125/1404928) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 14) 25/12544))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -5/112) (pow.f64 x 7)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 -5/112 (pow.f64 x 7)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 21) -125/1404928))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -5/112 (pow.f64 x 7))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -5/112 (pow.f64 x 7))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -5/112 (pow.f64 x 7))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 -5/112 (pow.f64 x 7))) 1))))))

simplify159.0ms (1.6%)

Algorithm
1×egg-herbie
Rules
1204×sqr-pow_binary64
708×cube-prod_binary64
683×fabs-mul_binary64
660×pow-sqr_binary64
416×unswap-sqr_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01251
12751
24951
39851
422651
566151
698051
7161851
8172751
9188951
10210251
11243251
12288851
13348651
14424051
15517251
16568451
17617451
18657451
19689651
20705851
Stop Event
1×node limit
Counts
108 → 108
Calls
Call 1
Inputs
x
(+.f64 (*.f64 3/40 (pow.f64 x 5)) x)
(*.f64 -5/112 (pow.f64 x 7))
(+.f64 (*.f64 3/40 (pow.f64 x 5)) (*.f64 -5/112 (pow.f64 x 7)))
(*.f64 -5/112 (pow.f64 x 7))
(+.f64 (*.f64 3/40 (pow.f64 x 5)) (*.f64 -5/112 (pow.f64 x 7)))
Outputs
x
(+.f64 (*.f64 3/40 (pow.f64 x 5)) x)
(fma.f64 3/40 (pow.f64 x 5) x)
(*.f64 -5/112 (pow.f64 x 7))
(+.f64 (*.f64 3/40 (pow.f64 x 5)) (*.f64 -5/112 (pow.f64 x 7)))
(fma.f64 3/40 (pow.f64 x 5) (*.f64 -5/112 (pow.f64 x 7)))
(*.f64 -5/112 (pow.f64 x 7))
(+.f64 (*.f64 3/40 (pow.f64 x 5)) (*.f64 -5/112 (pow.f64 x 7)))
(fma.f64 3/40 (pow.f64 x 5) (*.f64 -5/112 (pow.f64 x 7)))

localize11.0ms (0.1%)

Compiler

Compiled 10 to 7 computations (30% saved)

localize44.0ms (0.4%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.2b
(/.f64 -1/4 (*.f64 x x))
Compiler

Compiled 54 to 37 computations (31.5% saved)

series2.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite70.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
497×pow1_binary64
488×add-sqr-sqrt_binary64
469×add-log-exp_binary64
469×log1p-expm1-u_binary64
469×expm1-log1p-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
11097
213247
Stop Event
1×node limit
Counts
1 → 21
Calls
Call 1
Inputs
(/.f64 -1/4 (*.f64 x x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 -1/4 (pow.f64 x -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/4 (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1/4 (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 -1/4 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 -1/4 (pow.f64 x -2))) (cbrt.f64 (/.f64 1/16 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/16 (pow.f64 x 4))) (cbrt.f64 (*.f64 -1/4 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 -1/4) x) (/.f64 (sqrt.f64 -1/4) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (/.f64 1 (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -2) -1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/4 x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/4 (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -1/4 (pow.f64 x -2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -1/4 (pow.f64 x -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 -1/4) x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x x) -4) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1/16 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -1/4) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -1/4 (pow.f64 x -2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -1/4 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -1/4 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -1/4 (pow.f64 x -2))))))))

simplify179.0ms (1.8%)

Algorithm
1×egg-herbie
Rules
1140×associate-/r*_binary64
1082×sqr-pow_binary64
560×cube-prod_binary64
554×fabs-mul_binary64
523×pow-sqr_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0684
11184
22084
33584
47584
522484
683484
7204384
8220984
9239384
10260184
11289884
12329184
13377284
14434084
15502884
16586384
17625584
18654384
19681984
20689184
21692784
Stop Event
1×node limit
Counts
33 → 23
Calls
Call 1
Inputs
(/.f64 -1/4 (pow.f64 x 2))
(/.f64 -1/4 (pow.f64 x 2))
(/.f64 -1/4 (pow.f64 x 2))
(/.f64 -1/4 (pow.f64 x 2))
(/.f64 -1/4 (pow.f64 x 2))
(/.f64 -1/4 (pow.f64 x 2))
(/.f64 -1/4 (pow.f64 x 2))
(/.f64 -1/4 (pow.f64 x 2))
(/.f64 -1/4 (pow.f64 x 2))
(/.f64 -1/4 (pow.f64 x 2))
(/.f64 -1/4 (pow.f64 x 2))
(/.f64 -1/4 (pow.f64 x 2))
Outputs
(/.f64 -1/4 (pow.f64 x 2))
(/.f64 -1/4 (*.f64 x x))
(/.f64 -1/4 (pow.f64 x 2))
(/.f64 -1/4 (*.f64 x x))
(/.f64 -1/4 (pow.f64 x 2))
(/.f64 -1/4 (*.f64 x x))
(/.f64 -1/4 (pow.f64 x 2))
(/.f64 -1/4 (*.f64 x x))
(/.f64 -1/4 (pow.f64 x 2))
(/.f64 -1/4 (*.f64 x x))
(/.f64 -1/4 (pow.f64 x 2))
(/.f64 -1/4 (*.f64 x x))
(/.f64 -1/4 (pow.f64 x 2))
(/.f64 -1/4 (*.f64 x x))
(/.f64 -1/4 (pow.f64 x 2))
(/.f64 -1/4 (*.f64 x x))
(/.f64 -1/4 (pow.f64 x 2))
(/.f64 -1/4 (*.f64 x x))
(/.f64 -1/4 (pow.f64 x 2))
(/.f64 -1/4 (*.f64 x x))
(/.f64 -1/4 (pow.f64 x 2))
(/.f64 -1/4 (*.f64 x x))
(/.f64 -1/4 (pow.f64 x 2))
(/.f64 -1/4 (*.f64 x x))

localize63.0ms (0.6%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (log1p.f64 (-.f64 (/.f64 -1 x) 1)) (+.f64 (log.f64 1/2) (/.f64 (/.f64 -1/4 x) x)))
✓0.0b
(-.f64 (/.f64 -1 x) 1)
0.1b
(/.f64 (/.f64 -1/4 x) x)
✓2.0b
(log1p.f64 (-.f64 (/.f64 -1 x) 1))
Compiler

Compiled 53 to 41 computations (22.6% saved)

series34.0ms (0.3%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
13.0ms
x
@0
(log1p.f64 (-.f64 (/.f64 -1 x) 1))
10.0ms
x
@-inf
(log1p.f64 (-.f64 (/.f64 -1 x) 1))
9.0ms
x
@inf
(log1p.f64 (-.f64 (/.f64 -1 x) 1))
0.0ms
x
@0
(-.f64 (/.f64 -1 x) 1)
0.0ms
x
@inf
(+.f64 (log1p.f64 (-.f64 (/.f64 -1 x) 1)) (+.f64 (log.f64 1/2) (/.f64 (/.f64 -1/4 x) x)))

rewrite93.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
663×log-prod_binary64
538×fma-def_binary64
332×fma-neg_binary64
261×expm1-udef_binary64
260×log1p-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01439
131331
2432931
Stop Event
1×node limit
Counts
3 → 172
Calls
Call 1
Inputs
(log1p.f64 (-.f64 (/.f64 -1 x) 1))
(-.f64 (/.f64 -1 x) 1)
(+.f64 (log1p.f64 (-.f64 (/.f64 -1 x) 1)) (+.f64 (log.f64 1/2) (/.f64 (/.f64 -1/4 x) x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (/.f64 -1 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (/.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 -1) (neg.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 -1) (log.f64 (*.f64 (/.f64 1 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (log.f64 x)) (log.f64 -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2 (log.f64 (/.f64 -1 (cbrt.f64 x)))) (log.f64 (/.f64 -1 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2 (log.f64 (/.f64 -1 (cbrt.f64 x)))) (log.f64 (*.f64 (/.f64 -1 (cbrt.f64 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (/.f64 -1 x))) (log.f64 (sqrt.f64 (/.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (/.f64 -1 x))) (log.f64 (*.f64 (sqrt.f64 (/.f64 -1 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (/.f64 -1 (cbrt.f64 x))) (*.f64 2 (log.f64 (/.f64 -1 (cbrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (log.f64 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (log.f64 (*.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (log.f64 (/.f64 (*.f64 x -1) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 -1) (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 -1) (log.f64 (neg.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 -1) (log.f64 (neg.f64 (*.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log1p.f64 (pow.f64 (+.f64 -1 (/.f64 -1 x)) 3)) (log.f64 (+.f64 1 (-.f64 (pow.f64 (+.f64 -1 (/.f64 -1 x)) 2) (+.f64 -1 (/.f64 -1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log.f64 (/.f64 -1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (-.f64 1 (pow.f64 (+.f64 -1 (/.f64 -1 x)) 2))) (log.f64 (-.f64 1 (+.f64 -1 (/.f64 -1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (/.f64 -1 (sqrt.f64 x))) (log.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (/.f64 -1 (pow.f64 (cbrt.f64 x) 2))) (log.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (log.f64 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (log.f64 (*.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (/.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (/.f64 -1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (/.f64 -1 x))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 -1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 -1 x))) 2) (cbrt.f64 (log.f64 (/.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (/.f64 -1 x))) (sqrt.f64 (log.f64 (/.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3 (log.f64 (/.f64 -1 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (log.f64 (sqrt.f64 (/.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (*.f64 3 (log.f64 (/.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (/.f64 -1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (/.f64 -1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (/.f64 -1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (log.f64 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (log.f64 (*.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (log.f64 (/.f64 (*.f64 x -1) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (/.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (/.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (log.f64 (/.f64 -1 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log.f64 -1) (neg.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (log.f64 -1)) (cbrt.f64 (log.f64 -1))) (cbrt.f64 (log.f64 -1)) (neg.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log.f64 -1)) (sqrt.f64 (log.f64 -1)) (neg.f64 (log.f64 x)))))))
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1/2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 -1/4 (*.f64 x x)) (log.f64 (*.f64 (/.f64 -1 x) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (fma.f64 (/.f64 -1 x) (*.f64 1/2 (exp.f64 (/.f64 -1/4 (*.f64 x x)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (/.f64 -1/4 (*.f64 x x)) (log.f64 (*.f64 (/.f64 -1 x) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 -1/4 (*.f64 x x)) (log.f64 (*.f64 (/.f64 -1 x) 1/2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (/.f64 -1/4 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log.f64 1/2) (+.f64 (/.f64 -1/4 (*.f64 x x)) (log.f64 (/.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 -1/4 (*.f64 x x)) (log.f64 (*.f64 (/.f64 -1 x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 (log.f64 1/2) (/.f64 -1/4 (*.f64 x x))) (log.f64 (/.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log.f64 (*.f64 (/.f64 -1 x) 1/2)) (/.f64 -1/4 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (log.f64 (/.f64 -1 x)) 1 (+.f64 (log.f64 1/2) (/.f64 -1/4 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (log.f64 1/2) 1 (+.f64 (/.f64 -1/4 (*.f64 x x)) (log.f64 (/.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/4 (/.f64 1 (*.f64 x x)) (log.f64 (*.f64 (/.f64 -1 x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/4 (*.f64 (/.f64 1 x) (/.f64 1 x)) (log.f64 (*.f64 (/.f64 -1 x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/4 (/.f64 (/.f64 1 x) x) (log.f64 (*.f64 (/.f64 -1 x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -1/4 x) (/.f64 1 x) (log.f64 (*.f64 (/.f64 -1 x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -1/4 (*.f64 x x)) 1 (log.f64 (*.f64 (/.f64 -1 x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (log.f64 1/2) (/.f64 -1/4 (*.f64 x x))) 1 (log.f64 (/.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 -1/4 x)) 2) (*.f64 (cbrt.f64 (/.f64 -1/4 x)) (/.f64 1 x)) (log.f64 (*.f64 (/.f64 -1 x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 -1/4 (*.f64 x x))) (pow.f64 (cbrt.f64 (/.f64 -1/4 (*.f64 x x))) 2) (log.f64 (*.f64 (/.f64 -1 x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 -1/4 (*.f64 x x))) 2) (cbrt.f64 (/.f64 -1/4 (*.f64 x x))) (log.f64 (*.f64 (/.f64 -1 x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (log.f64 1/2)) (pow.f64 (cbrt.f64 (log.f64 1/2)) 2) (+.f64 (/.f64 -1/4 (*.f64 x x)) (log.f64 (/.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log.f64 1/2)) 2) (cbrt.f64 (log.f64 1/2)) (+.f64 (/.f64 -1/4 (*.f64 x x)) (log.f64 (/.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 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x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log.f64 1/2)) (sqrt.f64 (log.f64 1/2)) (+.f64 (/.f64 -1/4 (*.f64 x x)) (log.f64 (/.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 (/.f64 (sqrt.f64 -1/4) x) (sqrt.f64 (log.f64 1/2))) (hypot.f64 (/.f64 (sqrt.f64 -1/4) x) (sqrt.f64 (log.f64 1/2))) (log.f64 (/.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log.f64 (/.f64 -1 x))) (sqrt.f64 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 1/2) (/.f64 -1/4 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1/4 x) (/.f64 -1 x) (log.f64 (*.f64 (/.f64 -1 x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (log.f64 1/2) 3) (pow.f64 (/.f64 -1/4 (*.f64 x x)) 3)) (/.f64 1 (fma.f64 (/.f64 -1/4 (*.f64 x x)) (-.f64 (/.f64 -1/4 (*.f64 x x)) (log.f64 1/2)) (pow.f64 (log.f64 1/2) 2))) (log.f64 (/.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 x) (/.f64 -1/4 x) (log.f64 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(sqrt.f64 (/.f64 -1/4 x)) x) (log.f64 (*.f64 (/.f64 -1 x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 -1/4 x) (cbrt.f64 x)) (log.f64 (*.f64 (/.f64 -1 x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -1/4 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 1 x) (cbrt.f64 x)) (log.f64 (*.f64 (/.f64 -1 x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 -1/4 x)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 -1/4 (*.f64 x x))) (log.f64 (*.f64 (/.f64 -1 x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (/.f64 -1/4 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (/.f64 -1/4 x)) (cbrt.f64 x)) (log.f64 (*.f64 (/.f64 -1 x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (/.f64 -1/4 x) (sqrt.f64 x)) (log.f64 (*.f64 (/.f64 -1 x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -1/4 (sqrt.f64 x)) (/.f64 (/.f64 1 x) (sqrt.f64 x)) (log.f64 (*.f64 (/.f64 -1 x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 -1/4 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (/.f64 -1/4 x)) (sqrt.f64 x)) (log.f64 (*.f64 (/.f64 -1 x) 1/2)))))))

simplify90.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
905×fma-neg_binary64
612×associate-/l/_binary64
429×div-sub_binary64
367×associate-/l*_binary64
280×associate-*l*_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
034460
179350
2169350
3354350
4917350
52796350
67645350
Stop Event
1×node limit
Counts
208 → 186
Calls
Call 1
Inputs
(+.f64 (log.f64 -1) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 -1) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 -1) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 -1) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 (/.f64 1 x)) (log.f64 -1))
(+.f64 (log.f64 (/.f64 1 x)) (log.f64 -1))
(+.f64 (log.f64 (/.f64 1 x)) (log.f64 -1))
(+.f64 (log.f64 (/.f64 1 x)) (log.f64 -1))
(log.f64 (/.f64 -1 x))
(log.f64 (/.f64 -1 x))
(log.f64 (/.f64 -1 x))
(log.f64 (/.f64 -1 x))
(/.f64 -1 x)
(neg.f64 (+.f64 1 (/.f64 1 x)))
(neg.f64 (+.f64 1 (/.f64 1 x)))
(neg.f64 (+.f64 1 (/.f64 1 x)))
-1
(neg.f64 (+.f64 1 (/.f64 1 x)))
(neg.f64 (+.f64 1 (/.f64 1 x)))
(neg.f64 (+.f64 1 (/.f64 1 x)))
-1
(neg.f64 (+.f64 1 (/.f64 1 x)))
(neg.f64 (+.f64 1 (/.f64 1 x)))
(neg.f64 (+.f64 1 (/.f64 1 x)))
(/.f64 -1/4 (pow.f64 x 2))
(-.f64 (+.f64 (log.f64 -1) (+.f64 (log.f64 1/2) (*.f64 -1 (log.f64 x)))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 -1) (+.f64 (log.f64 1/2) (*.f64 -1 (log.f64 x)))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 -1) (+.f64 (log.f64 1/2) (*.f64 -1 (log.f64 x)))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 (/.f64 1 x)) (+.f64 (log.f64 1/2) (log.f64 -1)))
(-.f64 (+.f64 (log.f64 (/.f64 1 x)) (+.f64 (log.f64 -1) (log.f64 1/2))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 (/.f64 1 x)) (+.f64 (log.f64 -1) (log.f64 1/2))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 (/.f64 1 x)) (+.f64 (log.f64 -1) (log.f64 1/2))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.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 (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 1/4 (/.f64 1 (pow.f64 x 2))))
Outputs
(+.f64 (log.f64 -1) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 -1) (neg.f64 (log.f64 x)))
(log.f64 (/.f64 -1 x))
(+.f64 (log.f64 -1) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 -1) (neg.f64 (log.f64 x)))
(log.f64 (/.f64 -1 x))
(+.f64 (log.f64 -1) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 -1) (neg.f64 (log.f64 x)))
(log.f64 (/.f64 -1 x))
(+.f64 (log.f64 -1) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 -1) (neg.f64 (log.f64 x)))
(log.f64 (/.f64 -1 x))
(+.f64 (log.f64 (/.f64 1 x)) (log.f64 -1))
(+.f64 (log.f64 -1) (neg.f64 (log.f64 x)))
(log.f64 (/.f64 -1 x))
(+.f64 (log.f64 (/.f64 1 x)) (log.f64 -1))
(+.f64 (log.f64 -1) (neg.f64 (log.f64 x)))
(log.f64 (/.f64 -1 x))
(+.f64 (log.f64 (/.f64 1 x)) (log.f64 -1))
(+.f64 (log.f64 -1) (neg.f64 (log.f64 x)))
(log.f64 (/.f64 -1 x))
(+.f64 (log.f64 (/.f64 1 x)) (log.f64 -1))
(+.f64 (log.f64 -1) (neg.f64 (log.f64 x)))
(log.f64 (/.f64 -1 x))
(log.f64 (/.f64 -1 x))
(+.f64 (log.f64 -1) (neg.f64 (log.f64 x)))
(log.f64 (/.f64 -1 x))
(+.f64 (log.f64 -1) (neg.f64 (log.f64 x)))
(log.f64 (/.f64 -1 x))
(+.f64 (log.f64 -1) (neg.f64 (log.f64 x)))
(log.f64 (/.f64 -1 x))
(+.f64 (log.f64 -1) (neg.f64 (log.f64 x)))
(/.f64 -1 x)
(neg.f64 (+.f64 1 (/.f64 1 x)))
(+.f64 -1 (neg.f64 (/.f64 1 x)))
(+.f64 -1 (/.f64 -1 x))
(neg.f64 (+.f64 1 (/.f64 1 x)))
(+.f64 -1 (neg.f64 (/.f64 1 x)))
(+.f64 -1 (/.f64 -1 x))
(neg.f64 (+.f64 1 (/.f64 1 x)))
(+.f64 -1 (neg.f64 (/.f64 1 x)))
(+.f64 -1 (/.f64 -1 x))
-1
(neg.f64 (+.f64 1 (/.f64 1 x)))
(+.f64 -1 (neg.f64 (/.f64 1 x)))
(+.f64 -1 (/.f64 -1 x))
(neg.f64 (+.f64 1 (/.f64 1 x)))
(+.f64 -1 (neg.f64 (/.f64 1 x)))
(+.f64 -1 (/.f64 -1 x))
(neg.f64 (+.f64 1 (/.f64 1 x)))
(+.f64 -1 (neg.f64 (/.f64 1 x)))
(+.f64 -1 (/.f64 -1 x))
-1
(neg.f64 (+.f64 1 (/.f64 1 x)))
(+.f64 -1 (neg.f64 (/.f64 1 x)))
(+.f64 -1 (/.f64 -1 x))
(neg.f64 (+.f64 1 (/.f64 1 x)))
(+.f64 -1 (neg.f64 (/.f64 1 x)))
(+.f64 -1 (/.f64 -1 x))
(neg.f64 (+.f64 1 (/.f64 1 x)))
(+.f64 -1 (neg.f64 (/.f64 1 x)))
(+.f64 -1 (/.f64 -1 x))
(/.f64 -1/4 (pow.f64 x 2))
(/.f64 -1/4 (*.f64 x x))
(-.f64 (+.f64 (log.f64 -1) (+.f64 (log.f64 1/2) (*.f64 -1 (log.f64 x)))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (neg.f64 (log.f64 x)) (+.f64 (log.f64 -1) (log.f64 1/2))) (/.f64 1/4 (*.f64 x x)))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (/.f64 -1/4 (*.f64 x x))))
(+.f64 (log.f64 (/.f64 -1 x)) (-.f64 (log.f64 1/2) (/.f64 1/4 (*.f64 x x))))
(-.f64 (+.f64 (log.f64 -1) (+.f64 (log.f64 1/2) (*.f64 -1 (log.f64 x)))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (neg.f64 (log.f64 x)) (+.f64 (log.f64 -1) (log.f64 1/2))) (/.f64 1/4 (*.f64 x x)))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (/.f64 -1/4 (*.f64 x x))))
(+.f64 (log.f64 (/.f64 -1 x)) (-.f64 (log.f64 1/2) (/.f64 1/4 (*.f64 x x))))
(-.f64 (+.f64 (log.f64 -1) (+.f64 (log.f64 1/2) (*.f64 -1 (log.f64 x)))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (neg.f64 (log.f64 x)) (+.f64 (log.f64 -1) (log.f64 1/2))) (/.f64 1/4 (*.f64 x x)))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (/.f64 -1/4 (*.f64 x x))))
(+.f64 (log.f64 (/.f64 -1 x)) (-.f64 (log.f64 1/2) (/.f64 1/4 (*.f64 x x))))
(+.f64 (log.f64 (/.f64 1 x)) (+.f64 (log.f64 1/2) (log.f64 -1)))
(+.f64 (neg.f64 (log.f64 x)) (+.f64 (log.f64 -1) (log.f64 1/2)))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
(-.f64 (+.f64 (log.f64 (/.f64 1 x)) (+.f64 (log.f64 -1) (log.f64 1/2))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (neg.f64 (log.f64 x)) (+.f64 (log.f64 -1) (log.f64 1/2))) (/.f64 1/4 (*.f64 x x)))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (/.f64 -1/4 (*.f64 x x))))
(+.f64 (log.f64 (/.f64 -1 x)) (-.f64 (log.f64 1/2) (/.f64 1/4 (*.f64 x x))))
(-.f64 (+.f64 (log.f64 (/.f64 1 x)) (+.f64 (log.f64 -1) (log.f64 1/2))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (neg.f64 (log.f64 x)) (+.f64 (log.f64 -1) (log.f64 1/2))) (/.f64 1/4 (*.f64 x x)))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (/.f64 -1/4 (*.f64 x x))))
(+.f64 (log.f64 (/.f64 -1 x)) (-.f64 (log.f64 1/2) (/.f64 1/4 (*.f64 x x))))
(-.f64 (+.f64 (log.f64 (/.f64 1 x)) (+.f64 (log.f64 -1) (log.f64 1/2))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (neg.f64 (log.f64 x)) (+.f64 (log.f64 -1) (log.f64 1/2))) (/.f64 1/4 (*.f64 x x)))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (/.f64 -1/4 (*.f64 x x))))
(+.f64 (log.f64 (/.f64 -1 x)) (-.f64 (log.f64 1/2) (/.f64 1/4 (*.f64 x x))))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
(+.f64 (neg.f64 (log.f64 x)) (+.f64 (log.f64 -1) (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 (neg.f64 (log.f64 x)) (+.f64 (log.f64 -1) (log.f64 1/2))) (/.f64 1/4 (*.f64 x x)))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (/.f64 -1/4 (*.f64 x x))))
(+.f64 (log.f64 (/.f64 -1 x)) (-.f64 (log.f64 1/2) (/.f64 1/4 (*.f64 x x))))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (neg.f64 (log.f64 x)) (+.f64 (log.f64 -1) (log.f64 1/2))) (/.f64 1/4 (*.f64 x x)))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (/.f64 -1/4 (*.f64 x x))))
(+.f64 (log.f64 (/.f64 -1 x)) (-.f64 (log.f64 1/2) (/.f64 1/4 (*.f64 x x))))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (neg.f64 (log.f64 x)) (+.f64 (log.f64 -1) (log.f64 1/2))) (/.f64 1/4 (*.f64 x x)))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (/.f64 -1/4 (*.f64 x x))))
(+.f64 (log.f64 (/.f64 -1 x)) (-.f64 (log.f64 1/2) (/.f64 1/4 (*.f64 x x))))

localize65.0ms (0.7%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.1b
(/.f64 -1/16 (pow.f64 x 5))
0.1b
(/.f64 1/8 (pow.f64 x 3))
✓12.1b
(log.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 -1/2 x) (/.f64 -1/16 (pow.f64 x 5)))))
✓20.5b
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 -1/2 x) (/.f64 -1/16 (pow.f64 x 5))))
Compiler

Compiled 66 to 52 computations (21.2% saved)

series8.0ms (0.1%)

Counts
3 → 24
Calls

9 calls:

TimeVariablePointExpression
1.0ms
x
@0
(log.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 -1/2 x) (/.f64 -1/16 (pow.f64 x 5)))))
1.0ms
x
@0
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 -1/2 x) (/.f64 -1/16 (pow.f64 x 5))))
1.0ms
x
@inf
(log.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 -1/2 x) (/.f64 -1/16 (pow.f64 x 5)))))
1.0ms
x
@0
(/.f64 -1/16 (pow.f64 x 5))
1.0ms
x
@-inf
(log.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 -1/2 x) (/.f64 -1/16 (pow.f64 x 5)))))

rewrite197.0ms (2%)

Algorithm
1×batch-egg-rewrite
Rules
623×fma-def_binary64
353×fma-neg_binary64
316×log-div_binary64
297×expm1-udef_binary64
297×log1p-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01553
136145
2504045
Stop Event
1×node limit
Counts
3 → 174
Calls
Call 1
Inputs
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 -1/2 x) (/.f64 -1/16 (pow.f64 x 5))))
(log.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 -1/2 x) (/.f64 -1/16 (pow.f64 x 5)))))
(/.f64 -1/16 (pow.f64 x 5))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -1/16 (pow.f64 x -5)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/16 (pow.f64 x -5))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1/16 (pow.f64 x -5)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 -1/16 (pow.f64 x -5)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 -1/16 (pow.f64 x -5))) (cbrt.f64 (/.f64 1/256 (pow.f64 x 10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/256 (pow.f64 x 10))) (cbrt.f64 (*.f64 -1/16 (pow.f64 x -5))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 -1/16) (pow.f64 x 5/2)) (/.f64 (sqrt.f64 -1/16) (pow.f64 x 5/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/16 (/.f64 1 (neg.f64 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -5) -1/16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/16 (pow.f64 x -5)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -1/16 (pow.f64 x -5))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 -1/16) (pow.f64 x 5/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -1/16 (pow.f64 x -5)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 5) -16) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1/256 (pow.f64 x 10)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -1/16) (pow.f64 x -5)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/16 (pow.f64 x -5)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -1/16 (pow.f64 x -5)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -1/16 (pow.f64 x -5))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -1/16 (pow.f64 x -5))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -1/16 (pow.f64 x -5))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 -1/16 (pow.f64 x -5))) 1))))))

simplify82.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
932×fma-def_binary64
904×fma-neg_binary64
722×times-frac_binary64
325×associate-/r*_binary64
314×associate-*l*_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
082459
1225451
2585451
31826451
46239451
Stop Event
1×node limit
Counts
198 → 206
Calls
Call 1
Inputs
(/.f64 -1/16 (pow.f64 x 5))
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/16 (/.f64 1 (pow.f64 x 5))))
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/16 (/.f64 1 (pow.f64 x 5)))))
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/16 (/.f64 1 (pow.f64 x 5)))))
(/.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 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 -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 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 -5 (log.f64 x)) (log.f64 -1/16))
(+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 (*.f64 -5 (log.f64 x)) (log.f64 -1/16)))
(+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 (*.f64 -5 (log.f64 x)) (+.f64 (*.f64 6 (pow.f64 x 4)) (log.f64 -1/16))))
(+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 (*.f64 -5 (log.f64 x)) (+.f64 (*.f64 6 (pow.f64 x 4)) (+.f64 (*.f64 40/3 (pow.f64 x 6)) (log.f64 -1/16)))))
(+.f64 (log.f64 -1/2) (log.f64 (/.f64 1 x)))
(-.f64 (+.f64 (log.f64 -1/2) (log.f64 (/.f64 1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 -1/2) (+.f64 (log.f64 (/.f64 1 x)) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 -1/2) (+.f64 (log.f64 (/.f64 1 x)) (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (*.f64 5/192 (/.f64 1 (pow.f64 x 6)))))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.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 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (*.f64 5/192 (/.f64 1 (pow.f64 x 6)))))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
Outputs
(/.f64 -1/16 (pow.f64 x 5))
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/16 (/.f64 1 (pow.f64 x 5))))
(-.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/16 (pow.f64 x 5)))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/16 (pow.f64 x 5)))
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/16 (/.f64 1 (pow.f64 x 5)))))
(-.f64 (-.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/2 x)) (/.f64 1/16 (pow.f64 x 5)))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (/.f64 -1/16 (pow.f64 x 5)) (/.f64 1/2 x)))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (/.f64 -1/2 x) (/.f64 1/16 (pow.f64 x 5))))
(+.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/16 (pow.f64 x 5))) (/.f64 -1/2 x))
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/16 (/.f64 1 (pow.f64 x 5)))))
(-.f64 (-.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/2 x)) (/.f64 1/16 (pow.f64 x 5)))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (/.f64 -1/16 (pow.f64 x 5)) (/.f64 1/2 x)))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (/.f64 -1/2 x) (/.f64 1/16 (pow.f64 x 5))))
(+.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/16 (pow.f64 x 5))) (/.f64 -1/2 x))
(/.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 (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 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/2 x)) (/.f64 1/16 (pow.f64 x 5)))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (/.f64 -1/16 (pow.f64 x 5)) (/.f64 1/2 x)))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (/.f64 -1/2 x) (/.f64 1/16 (pow.f64 x 5))))
(+.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/16 (pow.f64 x 5))) (/.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 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/2 x)) (/.f64 1/16 (pow.f64 x 5)))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (/.f64 -1/16 (pow.f64 x 5)) (/.f64 1/2 x)))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (/.f64 -1/2 x) (/.f64 1/16 (pow.f64 x 5))))
(+.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/16 (pow.f64 x 5))) (/.f64 -1/2 x))
(/.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 (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 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/2 x)) (/.f64 1/16 (pow.f64 x 5)))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (/.f64 -1/16 (pow.f64 x 5)) (/.f64 1/2 x)))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (/.f64 -1/2 x) (/.f64 1/16 (pow.f64 x 5))))
(+.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/16 (pow.f64 x 5))) (/.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 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/2 x)) (/.f64 1/16 (pow.f64 x 5)))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (/.f64 -1/16 (pow.f64 x 5)) (/.f64 1/2 x)))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (/.f64 -1/2 x) (/.f64 1/16 (pow.f64 x 5))))
(+.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/16 (pow.f64 x 5))) (/.f64 -1/2 x))
(+.f64 (*.f64 -5 (log.f64 x)) (log.f64 -1/16))
(fma.f64 -5 (log.f64 x) (log.f64 -1/16))
(+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 (*.f64 -5 (log.f64 x)) (log.f64 -1/16)))
(fma.f64 -2 (*.f64 x x) (fma.f64 -5 (log.f64 x) (log.f64 -1/16)))
(fma.f64 x (*.f64 x -2) (fma.f64 -5 (log.f64 x) (log.f64 -1/16)))
(fma.f64 -5 (log.f64 x) (fma.f64 -2 (*.f64 x x) (log.f64 -1/16)))
(+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 (*.f64 -5 (log.f64 x)) (+.f64 (*.f64 6 (pow.f64 x 4)) (log.f64 -1/16))))
(fma.f64 -2 (*.f64 x x) (fma.f64 -5 (log.f64 x) (fma.f64 6 (pow.f64 x 4) (log.f64 -1/16))))
(fma.f64 -5 (log.f64 x) (fma.f64 x (*.f64 x -2) (fma.f64 6 (pow.f64 x 4) (log.f64 -1/16))))
(fma.f64 6 (pow.f64 x 4) (fma.f64 -5 (log.f64 x) (fma.f64 -2 (*.f64 x x) (log.f64 -1/16))))
(+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 (*.f64 -5 (log.f64 x)) (+.f64 (*.f64 6 (pow.f64 x 4)) (+.f64 (*.f64 40/3 (pow.f64 x 6)) (log.f64 -1/16)))))
(fma.f64 -2 (*.f64 x x) (fma.f64 -5 (log.f64 x) (fma.f64 6 (pow.f64 x 4) (fma.f64 40/3 (pow.f64 x 6) (log.f64 -1/16)))))
(fma.f64 x (*.f64 x -2) (fma.f64 6 (pow.f64 x 4) (fma.f64 -5 (log.f64 x) (fma.f64 40/3 (pow.f64 x 6) (log.f64 -1/16)))))
(fma.f64 40/3 (pow.f64 x 6) (fma.f64 6 (pow.f64 x 4) (fma.f64 -5 (log.f64 x) (fma.f64 -2 (*.f64 x x) (log.f64 -1/16)))))
(+.f64 (log.f64 -1/2) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 -1/2) (neg.f64 (log.f64 x)))
(-.f64 (log.f64 -1/2) (log.f64 x))
(-.f64 (+.f64 (log.f64 -1/2) (log.f64 (/.f64 1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 -1/2) (-.f64 (neg.f64 (log.f64 x)) (/.f64 1/4 (*.f64 x x))))
(+.f64 (-.f64 (log.f64 -1/2) (log.f64 x)) (/.f64 -1/4 (*.f64 x x)))
(+.f64 (log.f64 -1/2) (-.f64 (/.f64 -1/4 (*.f64 x x)) (log.f64 x)))
(-.f64 (+.f64 (log.f64 -1/2) (+.f64 (log.f64 (/.f64 1 x)) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 -1/2) (-.f64 (+.f64 (neg.f64 (log.f64 x)) (/.f64 3/32 (pow.f64 x 4))) (/.f64 1/4 (*.f64 x x))))
(+.f64 (-.f64 (log.f64 -1/2) (log.f64 x)) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (/.f64 -1/4 (*.f64 x x))))
(+.f64 (log.f64 -1/2) (-.f64 (/.f64 3/32 (pow.f64 x 4)) (+.f64 (log.f64 x) (/.f64 1/4 (*.f64 x x)))))
(+.f64 (log.f64 -1/2) (-.f64 (/.f64 -1/4 (*.f64 x x)) (+.f64 (log.f64 x) (/.f64 -3/32 (pow.f64 x 4)))))
(-.f64 (+.f64 (log.f64 -1/2) (+.f64 (log.f64 (/.f64 1 x)) (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (*.f64 5/192 (/.f64 1 (pow.f64 x 6)))))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 -1/2) (-.f64 (+.f64 (+.f64 (neg.f64 (log.f64 x)) (/.f64 3/32 (pow.f64 x 4))) (/.f64 5/192 (pow.f64 x 6))) (/.f64 1/4 (*.f64 x x))))
(+.f64 (+.f64 (-.f64 (/.f64 3/32 (pow.f64 x 4)) (log.f64 x)) (/.f64 5/192 (pow.f64 x 6))) (-.f64 (log.f64 -1/2) (/.f64 1/4 (*.f64 x x))))
(+.f64 (-.f64 (log.f64 -1/2) (log.f64 x)) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (+.f64 (/.f64 5/192 (pow.f64 x 6)) (/.f64 -1/4 (*.f64 x x)))))
(+.f64 (log.f64 -1/2) (+.f64 (-.f64 (/.f64 3/32 (pow.f64 x 4)) (log.f64 x)) (+.f64 (/.f64 5/192 (pow.f64 x 6)) (/.f64 -1/4 (*.f64 x 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 (/.f64 -1 x)) (-.f64 (log.f64 1/2) (/.f64 1/4 (*.f64 x x))))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (/.f64 -1/4 (*.f64 x x))))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 (/.f64 -1 x)) (-.f64 (+.f64 (/.f64 3/32 (pow.f64 x 4)) (log.f64 1/2)) (/.f64 1/4 (*.f64 x x))))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (+.f64 (log.f64 1/2) (/.f64 -1/4 (*.f64 x x)))))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (*.f64 5/192 (/.f64 1 (pow.f64 x 6)))))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (/.f64 5/192 (pow.f64 x 6)))) (/.f64 1/4 (*.f64 x x)))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (+.f64 (/.f64 3/32 (pow.f64 x 4)) (+.f64 (/.f64 5/192 (pow.f64 x 6)) (log.f64 1/2))) (/.f64 -1/4 (*.f64 x x))))
(+.f64 (log.f64 1/2) (-.f64 (+.f64 (/.f64 3/32 (pow.f64 x 4)) (+.f64 (/.f64 5/192 (pow.f64 x 6)) (log.f64 (/.f64 -1 x)))) (/.f64 1/4 (*.f64 x x))))
(+.f64 (+.f64 (/.f64 3/32 (pow.f64 x 4)) (+.f64 (log.f64 1/2) (/.f64 -1/4 (*.f64 x x)))) (+.f64 (/.f64 5/192 (pow.f64 x 6)) (log.f64 (/.f64 -1 x))))

eval508.0ms (5.1%)

Compiler

Compiled 14272 to 11321 computations (20.7% saved)

prune210.0ms (2.1%)

Pruning

14 alts after pruning (5 fresh and 9 done)

PrunedKeptTotal
New6271628
Fresh044
Picked011
Done088
Total62714641
Error
0b
Counts
641 → 14
Alt Table
Click to see full alt table
StatusErrorProgram
▶60.2b
(log.f64 (/.f64 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x)) (-.f64 (hypot.f64 1 x) x)))
✓49.7b
(log.f64 (/.f64 -1/2 x))
✓28.6b
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) x)))
▶48.5b
(log.f64 (+.f64 x (-.f64 x (/.f64 -1/2 x))))
✓28.5b
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) x))
✓46.2b
(log.f64 (+.f64 x (hypot.f64 1 x)))
✓28.7b
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
✓49.9b
(log.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 -1/2 x) (/.f64 -1/16 (pow.f64 x 5)))))
✓63.4b
(+.f64 (log1p.f64 (-.f64 (/.f64 -1 x) 1)) (+.f64 (log.f64 1/2) (/.f64 (/.f64 -1/4 x) x)))
▶46.2b
(-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
27.5b
x
▶28.6b
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (fma.f64 (fma.f64 3/40 (pow.f64 x 5) (*.f64 -5/112 (pow.f64 x 7))) 1 x))
✓49.3b
(log.f64 (*.f64 x 2))
✓49.7b
(*.f64 (+.f64 (/.f64 -1/4 (*.f64 x x)) (log.f64 (*.f64 (/.f64 -1 x) 1/2))) 1)
Compiler

Compiled 166 to 127 computations (23.5% saved)

localize22.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(log.f64 (+.f64 x (-.f64 x (/.f64 -1/2 x))))
✓0.0b
(+.f64 x (-.f64 x (/.f64 -1/2 x)))
✓0.0b
(-.f64 x (/.f64 -1/2 x))
Compiler

Compiled 26 to 16 computations (38.5% saved)

series7.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

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

rewrite129.0ms (1.3%)

Algorithm
1×batch-egg-rewrite
Rules
564×unpow-prod-down_binary64
417×fma-def_binary64
390×log-prod_binary64
286×exp-prod_binary64
246×pow-prod-down_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0729
116729
2250225
Stop Event
1×node limit
Counts
3 → 267
Calls
Call 1
Inputs
(-.f64 x (/.f64 -1/2 x))
(+.f64 x (-.f64 x (/.f64 -1/2 x)))
(log.f64 (+.f64 x (-.f64 x (/.f64 -1/2 x))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (/.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (/.f64 1/2 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (/.f64 1/2 x)) (fma.f64 (neg.f64 (/.f64 1 x)) -1/2 (/.f64 -1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (/.f64 1/2 x)) (fma.f64 (/.f64 1/2 x) 1 (/.f64 -1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (/.f64 1/2 x)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 -1/2 x))) (pow.f64 (cbrt.f64 (/.f64 -1/2 x)) 2) (/.f64 -1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (/.f64 1/2 x)) (+.f64 (/.f64 1/2 x) (/.f64 -1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1/2 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 x (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 x (/.f64 1/2 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (+.f64 x (/.f64 1/2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 x (/.f64 1/2 x))))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 x (/.f64 1/2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (/.f64 1/2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x (/.f64 1/2 x))) (pow.f64 (cbrt.f64 (+.f64 x (/.f64 1/2 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 1/2 x))) 2) (cbrt.f64 (+.f64 x (/.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x (/.f64 1/2 x))) (sqrt.f64 (+.f64 x (/.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 x 3) (*.f64 -1/8 (pow.f64 x -3))) (/.f64 1 (fma.f64 (/.f64 -1/2 x) (+.f64 x (/.f64 -1/2 x)) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 x 3) (*.f64 -1/8 (pow.f64 x -3))) (pow.f64 (/.f64 1 (fma.f64 (/.f64 -1/2 x) (+.f64 x (/.f64 -1/2 x)) (*.f64 x x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (*.f64 1/4 (pow.f64 x -2))) (/.f64 1 (+.f64 x (/.f64 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (*.f64 1/4 (pow.f64 x -2))) (pow.f64 (/.f64 1 (+.f64 x (/.f64 -1/2 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 -1/2 x))) (-.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (+.f64 x (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x (/.f64 1/2 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x (/.f64 1/2 x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 -1/2 x))) 1) (pow.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 -1/2 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (/.f64 1/2 x)))) 2) 3) (cbrt.f64 (+.f64 x (/.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 (+.f64 x (/.f64 1/2 x)) (cbrt.f64 (+.f64 x (/.f64 1/2 x)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (+.f64 x (/.f64 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (+.f64 x (/.f64 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (/.f64 -1/2 x) (+.f64 x (/.f64 -1/2 x)) (*.f64 x x)) (-.f64 (pow.f64 x 3) (*.f64 -1/8 (pow.f64 x -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x (/.f64 -1/2 x)) (-.f64 (*.f64 x x) (*.f64 1/4 (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 3) (*.f64 -1/8 (pow.f64 x -3))) (fma.f64 (/.f64 -1/2 x) (+.f64 x (/.f64 -1/2 x)) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 1/4 (pow.f64 x -2))) (+.f64 x (/.f64 -1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 x 3) (*.f64 -1/8 (pow.f64 x -3)))) (neg.f64 (fma.f64 (/.f64 -1/2 x) (+.f64 x (/.f64 -1/2 x)) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 1/4 (pow.f64 x -2)))) (neg.f64 (+.f64 x (/.f64 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (*.f64 1/8 (pow.f64 x -3))) (fma.f64 x x (-.f64 (pow.f64 (/.f64 1/2 x) 2) (*.f64 x (/.f64 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 1/2 x) 2)) (-.f64 x (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (/.f64 1/2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x (/.f64 1/2 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x (/.f64 1/2 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (+.f64 x (/.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (/.f64 -1/2 x) (+.f64 x (/.f64 -1/2 x)) (*.f64 x x)) (-.f64 (pow.f64 x 3) (*.f64 -1/8 (pow.f64 x -3)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x (/.f64 -1/2 x)) (-.f64 (*.f64 x x) (*.f64 1/4 (pow.f64 x -2)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (/.f64 1/2 x)))) 2)) (cbrt.f64 (log.f64 (+.f64 x (/.f64 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (/.f64 1/2 x))))) (sqrt.f64 (log.f64 (+.f64 x (/.f64 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 x (/.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 x (/.f64 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (/.f64 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (/.f64 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 (/.f64 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (/.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (/.f64 1/2 x)) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x (/.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x (/.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 x (/.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 x (/.f64 1/2 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 x (/.f64 1/2 x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x (/.f64 1/2 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (+.f64 x (/.f64 1/2 x)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 x (/.f64 1/2 x))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 x (/.f64 1/2 x))) 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (/.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (*.f64 (/.f64 1/2 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/2 (neg.f64 (/.f64 1 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 x (/.f64 1/2 x)) 1 (fma.f64 (neg.f64 (/.f64 1 x)) -1/2 (/.f64 -1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 x (/.f64 1/2 x)) 1 (fma.f64 (/.f64 1/2 x) 1 (/.f64 -1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 x (/.f64 1/2 x)) 1 (fma.f64 (neg.f64 (cbrt.f64 (/.f64 -1/2 x))) (pow.f64 (cbrt.f64 (/.f64 -1/2 x)) 2) (/.f64 -1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 x (/.f64 1/2 x)) 1 (+.f64 (/.f64 1/2 x) (/.f64 -1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (/.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 (/.f64 1/2 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 x (/.f64 1/2 x)) (fma.f64 (neg.f64 (/.f64 1 x)) -1/2 (/.f64 -1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 x (/.f64 1/2 x)) (fma.f64 (/.f64 1/2 x) 1 (/.f64 -1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 x (/.f64 1/2 x)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 -1/2 x))) (pow.f64 (cbrt.f64 (/.f64 -1/2 x)) 2) (/.f64 -1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 x (/.f64 1/2 x)) (+.f64 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simplify77.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
799×sub-neg_binary64
770×fma-def_binary64
442×times-frac_binary64
285×unswap-sqr_binary64
262×associate-+l-_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
068436
1186415
2500413
31603411
45493411
Stop Event
1×node limit
Counts
303 → 297
Calls
Call 1
Inputs
(/.f64 1/2 x)
(+.f64 (*.f64 1/2 (/.f64 1 x)) x)
(+.f64 (*.f64 1/2 (/.f64 1 x)) x)
(+.f64 (*.f64 1/2 (/.f64 1 x)) x)
x
(+.f64 (*.f64 1/2 (/.f64 1 x)) x)
(+.f64 (*.f64 1/2 (/.f64 1 x)) x)
(+.f64 (*.f64 1/2 (/.f64 1 x)) x)
x
(+.f64 (*.f64 1/2 (/.f64 1 x)) x)
(+.f64 (*.f64 1/2 (/.f64 1 x)) x)
(+.f64 (*.f64 1/2 (/.f64 1 x)) x)
(/.f64 1/2 x)
(+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(*.f64 2 x)
(+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(*.f64 2 x)
(+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (log.f64 1/2) (*.f64 -1 (log.f64 x)))
(+.f64 (*.f64 4 (pow.f64 x 2)) (+.f64 (log.f64 1/2) (*.f64 -1 (log.f64 x))))
(+.f64 (*.f64 4 (pow.f64 x 2)) (+.f64 (log.f64 1/2) (+.f64 (*.f64 -8 (pow.f64 x 4)) (*.f64 -1 (log.f64 x)))))
(+.f64 (*.f64 4 (pow.f64 x 2)) (+.f64 (log.f64 1/2) (+.f64 (*.f64 -8 (pow.f64 x 4)) (+.f64 (*.f64 64/3 (pow.f64 x 6)) (*.f64 -1 (log.f64 x))))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (*.f64 1/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (+.f64 (*.f64 1/192 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))) (*.f64 1/32 (/.f64 1 (pow.f64 x 4))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (log.f64 -2)))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (*.f64 1/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -2) (+.f64 (*.f64 1/192 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))) (*.f64 1/32 (/.f64 1 (pow.f64 x 4))))
Outputs
(/.f64 1/2 x)
(+.f64 (*.f64 1/2 (/.f64 1 x)) x)
(+.f64 x (/.f64 1/2 x))
(+.f64 (*.f64 1/2 (/.f64 1 x)) x)
(+.f64 x (/.f64 1/2 x))
(+.f64 (*.f64 1/2 (/.f64 1 x)) x)
(+.f64 x (/.f64 1/2 x))
x
(+.f64 (*.f64 1/2 (/.f64 1 x)) x)
(+.f64 x (/.f64 1/2 x))
(+.f64 (*.f64 1/2 (/.f64 1 x)) x)
(+.f64 x (/.f64 1/2 x))
(+.f64 (*.f64 1/2 (/.f64 1 x)) x)
(+.f64 x (/.f64 1/2 x))
x
(+.f64 (*.f64 1/2 (/.f64 1 x)) x)
(+.f64 x (/.f64 1/2 x))
(+.f64 (*.f64 1/2 (/.f64 1 x)) x)
(+.f64 x (/.f64 1/2 x))
(+.f64 (*.f64 1/2 (/.f64 1 x)) x)
(+.f64 x (/.f64 1/2 x))
(/.f64 1/2 x)
(+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(fma.f64 2 x (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 1/2 x))
(+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(fma.f64 2 x (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 1/2 x))
(+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(fma.f64 2 x (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 1/2 x))
(*.f64 2 x)
(*.f64 x 2)
(+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(fma.f64 2 x (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 1/2 x))
(+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(fma.f64 2 x (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 1/2 x))
(+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(fma.f64 2 x (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 1/2 x))
(*.f64 2 x)
(*.f64 x 2)
(+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(fma.f64 2 x (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 1/2 x))
(+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(fma.f64 2 x (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 1/2 x))
(+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(fma.f64 2 x (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 1/2 x))
(+.f64 (log.f64 1/2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 1/2) (neg.f64 (log.f64 x)))
(-.f64 (log.f64 1/2) (log.f64 x))
(+.f64 (*.f64 4 (pow.f64 x 2)) (+.f64 (log.f64 1/2) (*.f64 -1 (log.f64 x))))
(fma.f64 4 (*.f64 x x) (+.f64 (log.f64 1/2) (neg.f64 (log.f64 x))))
(-.f64 (fma.f64 4 (*.f64 x x) (log.f64 1/2)) (log.f64 x))
(-.f64 (fma.f64 x (*.f64 x 4) (log.f64 1/2)) (log.f64 x))
(+.f64 (*.f64 4 (pow.f64 x 2)) (+.f64 (log.f64 1/2) (+.f64 (*.f64 -8 (pow.f64 x 4)) (*.f64 -1 (log.f64 x)))))
(fma.f64 4 (*.f64 x x) (+.f64 (log.f64 1/2) (fma.f64 -8 (pow.f64 x 4) (neg.f64 (log.f64 x)))))
(+.f64 (-.f64 (fma.f64 4 (*.f64 x x) (log.f64 1/2)) (log.f64 x)) (*.f64 -8 (pow.f64 x 4)))
(-.f64 (fma.f64 x (*.f64 x 4) (fma.f64 -8 (pow.f64 x 4) (log.f64 1/2))) (log.f64 x))
(+.f64 (*.f64 4 (pow.f64 x 2)) (+.f64 (log.f64 1/2) (+.f64 (*.f64 -8 (pow.f64 x 4)) (+.f64 (*.f64 64/3 (pow.f64 x 6)) (*.f64 -1 (log.f64 x))))))
(fma.f64 4 (*.f64 x x) (+.f64 (log.f64 1/2) (fma.f64 -8 (pow.f64 x 4) (fma.f64 64/3 (pow.f64 x 6) (neg.f64 (log.f64 x))))))
(+.f64 (-.f64 (fma.f64 -8 (pow.f64 x 4) (*.f64 64/3 (pow.f64 x 6))) (log.f64 x)) (fma.f64 4 (*.f64 x x) (log.f64 1/2)))
(+.f64 (-.f64 (fma.f64 x (*.f64 x 4) (log.f64 1/2)) (log.f64 x)) (fma.f64 -8 (pow.f64 x 4) (*.f64 64/3 (pow.f64 x 6))))
(-.f64 (fma.f64 x (*.f64 x 4) (fma.f64 -8 (pow.f64 x 4) (fma.f64 64/3 (pow.f64 x 6) (log.f64 1/2)))) (log.f64 x))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))
(+.f64 (log.f64 x) (log.f64 2))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (log.f64 2) (/.f64 1/4 (*.f64 x x))))
(+.f64 (log.f64 2) (+.f64 (/.f64 1/4 (*.f64 x x)) (log.f64 x)))
(+.f64 (log.f64 x) (+.f64 (log.f64 2) (/.f64 1/4 (*.f64 x x))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (*.f64 1/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (log.f64 2) (/.f64 1/4 (*.f64 x x)))) (/.f64 1/32 (pow.f64 x 4)))
(+.f64 (+.f64 (log.f64 2) (+.f64 (/.f64 1/4 (*.f64 x x)) (log.f64 x))) (/.f64 -1/32 (pow.f64 x 4)))
(+.f64 (log.f64 x) (+.f64 (log.f64 2) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 -1/32 (pow.f64 x 4)))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (+.f64 (*.f64 1/192 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))) (*.f64 1/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (log.f64 2) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1/192 (pow.f64 x 6))))) (/.f64 1/32 (pow.f64 x 4)))
(+.f64 (+.f64 (log.f64 2) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1/192 (pow.f64 x 6)))) (+.f64 (log.f64 x) (/.f64 -1/32 (pow.f64 x 4))))
(+.f64 (+.f64 (log.f64 x) (+.f64 (log.f64 2) (/.f64 1/4 (*.f64 x x)))) (+.f64 (/.f64 1/192 (pow.f64 x 6)) (/.f64 -1/32 (pow.f64 x 4))))
(+.f64 (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 -1/32 (pow.f64 x 4))) (+.f64 (/.f64 1/192 (pow.f64 x 6)) (+.f64 (log.f64 x) (log.f64 2))))
(+.f64 (+.f64 (log.f64 2) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 -1/32 (pow.f64 x 4)))) (+.f64 (log.f64 x) (/.f64 1/192 (pow.f64 x 6))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2))
(fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -2))
(-.f64 (log.f64 -2) (log.f64 (/.f64 -1 x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (log.f64 -2)))
(fma.f64 -1 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 1/4 (*.f64 x x)) (log.f64 -2)))
(+.f64 (/.f64 1/4 (*.f64 x x)) (-.f64 (log.f64 -2) (log.f64 (/.f64 -1 x))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (*.f64 1/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 1/4 (*.f64 x x)) (log.f64 -2))) (/.f64 1/32 (pow.f64 x 4)))
(+.f64 (-.f64 (log.f64 -2) (log.f64 (/.f64 -1 x))) (-.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1/32 (pow.f64 x 4))))
(+.f64 (/.f64 1/4 (*.f64 x x)) (-.f64 (-.f64 (log.f64 -2) (log.f64 (/.f64 -1 x))) (/.f64 1/32 (pow.f64 x 4))))
(+.f64 (/.f64 1/4 (*.f64 x x)) (+.f64 (log.f64 -2) (-.f64 (/.f64 -1/32 (pow.f64 x 4)) (log.f64 (/.f64 -1 x)))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -2) (+.f64 (*.f64 1/192 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))) (*.f64 1/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -2)) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1/192 (pow.f64 x 6)))) (/.f64 1/32 (pow.f64 x 4)))
(+.f64 (-.f64 (log.f64 -2) (log.f64 (/.f64 -1 x))) (+.f64 (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1/192 (pow.f64 x 6))) (/.f64 -1/32 (pow.f64 x 4))))
(+.f64 (+.f64 (/.f64 1/4 (*.f64 x x)) (-.f64 (log.f64 -2) (log.f64 (/.f64 -1 x)))) (+.f64 (/.f64 1/192 (pow.f64 x 6)) (/.f64 -1/32 (pow.f64 x 4))))
(+.f64 (/.f64 1/4 (*.f64 x x)) (-.f64 (+.f64 (log.f64 -2) (/.f64 -1/32 (pow.f64 x 4))) (-.f64 (log.f64 (/.f64 -1 x)) (/.f64 1/192 (pow.f64 x 6)))))
(+.f64 (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1/192 (pow.f64 x 6))) (+.f64 (log.f64 -2) (-.f64 (/.f64 -1/32 (pow.f64 x 4)) (log.f64 (/.f64 -1 x)))))

localize41.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x)) (-.f64 (hypot.f64 1 x) x))
✓0.6b
(-.f64 (hypot.f64 1 x) x)
✓3.2b
(log.f64 (/.f64 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x)) (-.f64 (hypot.f64 1 x) x)))
✓16.5b
(-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x))
Compiler

Compiled 59 to 28 computations (52.5% saved)

series8.0ms (0.1%)

Counts
4 → 48
Calls

12 calls:

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

rewrite139.0ms (1.4%)

Algorithm
1×batch-egg-rewrite
Rules
513×fma-def_binary64
472×log-prod_binary64
316×pow-prod-down_binary64
279×fma-neg_binary64
265×pow2_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01066
123624
2376624
Stop Event
1×node limit
Counts
4 → 254
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x))
(log.f64 (/.f64 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x)) (-.f64 (hypot.f64 1 x) x)))
(-.f64 (hypot.f64 1 x) x)
(/.f64 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x)) (-.f64 (hypot.f64 1 x) x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x . 1)))))
((#(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 -1) (log.f64 (/.f64 1 (neg.f64 (-.f64 (hypot.f64 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)))))) (#(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 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) -2)) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (/.f64 1 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)))) (log1p.f64 (fma.f64 x x (*.f64 x (+.f64 x (hypot.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (log.f64 (-.f64 (hypot.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (log.f64 (neg.f64 (neg.f64 (-.f64 (hypot.f64 1 x) 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 (+.f64 (log1p.f64 (fma.f64 x x (*.f64 x x))) 0) (log.f64 (*.f64 (-.f64 (hypot.f64 1 x) x) (fma.f64 x x (fma.f64 x x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 -1) (log.f64 (neg.f64 (-.f64 (hypot.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 6) (pow.f64 x 6))) (log.f64 (*.f64 (-.f64 (hypot.f64 1 x) x) (fma.f64 (*.f64 x x) (fma.f64 x x (fma.f64 x x 1)) (pow.f64 (hypot.f64 1 x) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (hypot.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (hypot.f64 1 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (fma.f64 x x 1) (+.f64 x (hypot.f64 1 x))) (neg.f64 (*.f64 (*.f64 x x) (+.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 (fma.f64 x x 1) (+.f64 x (hypot.f64 1 x)) (neg.f64 (*.f64 (*.f64 x x) (+.f64 x (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 (cbrt.f64 (fma.f64 x x 1)) (cbrt.f64 (hypot.f64 1 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (hypot.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (hypot.f64 1 x)) (cbrt.f64 (fma.f64 x x 1)) x)))) (#(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 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) (/.f64 (fma.f64 x x 1) (sqrt.f64 (-.f64 (hypot.f64 1 x) x))) (neg.f64 (*.f64 (*.f64 x x) (+.f64 x (hypot.f64 1 x)))))))) (#(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 fma.f64 (pow.f64 (cbrt.f64 (*.f64 (fma.f64 x x 1) (+.f64 x (hypot.f64 1 x)))) 2) (cbrt.f64 (*.f64 (fma.f64 x x 1) (+.f64 x (hypot.f64 1 x)))) (neg.f64 (*.f64 (*.f64 x x) (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (fma.f64 x x 1) (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (*.f64 (fma.f64 x x 1) (+.f64 x (hypot.f64 1 x)))) (neg.f64 (*.f64 (*.f64 x x) (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 x)) 4)) (sqrt.f64 (cbrt.f64 (fma.f64 x x 1))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (cbrt.f64 x) x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (hypot.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (hypot.f64 1 x) 1) (/.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)) (neg.f64 (*.f64 (*.f64 x x) (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 x)) 4) 1) (/.f64 (cbrt.f64 (fma.f64 x x 1)) (-.f64 (hypot.f64 1 x) x)) (neg.f64 (*.f64 (*.f64 x x) (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) -2) (/.f64 (fma.f64 x x 1) (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) (neg.f64 (*.f64 (*.f64 x x) (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (hypot.f64 1 x) (cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) -2))) (/.f64 (hypot.f64 1 x) (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) (neg.f64 (*.f64 (*.f64 x x) (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 x)) 4) (cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) -2))) (/.f64 (cbrt.f64 (fma.f64 x x 1)) (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) (neg.f64 (*.f64 (*.f64 x x) (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (hypot.f64 1 x) (sqrt.f64 (-.f64 (hypot.f64 1 x) x))) (/.f64 (hypot.f64 1 x) (sqrt.f64 (-.f64 (hypot.f64 1 x) x))) (neg.f64 (*.f64 (*.f64 x x) (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 x)) 4) (sqrt.f64 (-.f64 (hypot.f64 1 x) x))) (/.f64 (cbrt.f64 (fma.f64 x x 1)) (sqrt.f64 (-.f64 (hypot.f64 1 x) x))) (neg.f64 (*.f64 (*.f64 x x) (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (fma.f64 x x 1) (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (fma.f64 x (+.f64 x (hypot.f64 1 x)) (fma.f64 x x 1)) (neg.f64 (*.f64 (*.f64 x x) (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (fma.f64 x x 1) 1) (+.f64 x (hypot.f64 1 x)) (neg.f64 (*.f64 (*.f64 x x) (+.f64 x (hypot.f64 1 x)))))))))

simplify89.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
506×unswap-sqr_binary64
459×associate-/r*_binary64
354×fma-def_binary64
336×associate-+l-_binary64
324×+-commutative_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0110582
1326564
2886560
32566560
47451560
Stop Event
1×node limit
Counts
302 → 317
Calls
Call 1
Inputs
1
1
1
1
1
1
1
1
1
1
1
1
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) x))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) x)))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(+.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 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
1
(+.f64 1 (*.f64 -1 x))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1 x) (*.f64 -1/8 (pow.f64 x 4)))))
(/.f64 1/2 x)
(-.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 5/128 (/.f64 1 (pow.f64 x 7)))))
(*.f64 -2 x)
(-.f64 (*.f64 -2 x) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 -2 x) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 -2 x) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/16 (/.f64 1 (pow.f64 x 5)))))
1
(+.f64 1 x)
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/8 (pow.f64 x 4)) x)))
(*.f64 2 x)
(+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 2 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 2 x) (*.f64 1/16 (/.f64 1 (pow.f64 x 5))))) (*.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 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 5/128 (/.f64 1 (pow.f64 x 7)))) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))))
Outputs
1
1
1
1
1
1
1
1
1
1
1
1
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) x))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) x)))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x)))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (log.f64 2) (/.f64 1/4 (*.f64 x x))))
(+.f64 (log.f64 x) (+.f64 (log.f64 2) (/.f64 1/4 (*.f64 x x))))
(+.f64 (log.f64 2) (+.f64 (log.f64 x) (/.f64 1/4 (*.f64 x x))))
(-.f64 (log.f64 2) (-.f64 (/.f64 (/.f64 -1/4 x) x) (log.f64 x)))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (log.f64 2) (/.f64 1/4 (*.f64 x x)))) (/.f64 3/32 (pow.f64 x 4)))
(+.f64 (log.f64 x) (+.f64 (log.f64 2) (-.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 3/32 (pow.f64 x 4)))))
(+.f64 (+.f64 (log.f64 x) (/.f64 1/4 (*.f64 x x))) (-.f64 (log.f64 2) (/.f64 3/32 (pow.f64 x 4))))
(+.f64 (log.f64 2) (-.f64 (log.f64 x) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (/.f64 (/.f64 -1/4 x) x))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (log.f64 2) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6))))) (/.f64 3/32 (pow.f64 x 4)))
(+.f64 (log.f64 x) (+.f64 (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6))) (-.f64 (log.f64 2) (/.f64 3/32 (pow.f64 x 4)))))
(+.f64 (log.f64 x) (+.f64 (+.f64 (log.f64 2) (/.f64 1/4 (*.f64 x x))) (-.f64 (/.f64 5/96 (pow.f64 x 6)) (/.f64 3/32 (pow.f64 x 4)))))
(+.f64 (log.f64 2) (+.f64 (/.f64 5/96 (pow.f64 x 6)) (-.f64 (log.f64 x) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (/.f64 (/.f64 -1/4 x) 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 (/.f64 -1 x)) (-.f64 (log.f64 1/2) (/.f64 1/4 (*.f64 x x))))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (/.f64 (/.f64 -1/4 x) x)))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 (/.f64 -1 x)) (-.f64 (+.f64 (/.f64 3/32 (pow.f64 x 4)) (log.f64 1/2)) (/.f64 1/4 (*.f64 x x))))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (-.f64 (log.f64 1/2) (/.f64 1/4 (*.f64 x x)))))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (+.f64 (log.f64 1/2) (/.f64 (/.f64 -1/4 x) x))))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 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))))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (-.f64 (log.f64 1/2) (/.f64 1/4 (*.f64 x x))))) (/.f64 5/96 (pow.f64 x 6)))
(-.f64 (+.f64 (/.f64 3/32 (pow.f64 x 4)) (-.f64 (log.f64 1/2) (/.f64 1/4 (*.f64 x x)))) (-.f64 (/.f64 5/96 (pow.f64 x 6)) (log.f64 (/.f64 -1 x))))
(+.f64 (/.f64 3/32 (pow.f64 x 4)) (+.f64 (log.f64 1/2) (+.f64 (/.f64 (/.f64 -1/4 x) x) (+.f64 (log.f64 (/.f64 -1 x)) (/.f64 -5/96 (pow.f64 x 6))))))
1
(+.f64 1 (*.f64 -1 x))
(+.f64 1 (neg.f64 x))
(-.f64 1 x)
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))
(+.f64 1 (-.f64 (*.f64 x (*.f64 x 1/2)) x))
(fma.f64 x (*.f64 x 1/2) (-.f64 1 x))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1 x) (*.f64 -1/8 (pow.f64 x 4)))))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (fma.f64 -1 x (*.f64 (pow.f64 x 4) -1/8))))
(+.f64 1 (fma.f64 (*.f64 x x) 1/2 (-.f64 (*.f64 (pow.f64 x 4) -1/8) x)))
(fma.f64 x (*.f64 x 1/2) (-.f64 (fma.f64 (pow.f64 x 4) -1/8 1) x))
(fma.f64 (pow.f64 x 4) -1/8 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x)))
(/.f64 1/2 x)
(-.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3)))
(+.f64 (/.f64 1/2 x) (/.f64 -1/8 (pow.f64 x 3)))
(-.f64 (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1/16 (pow.f64 x 5)) (-.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3))))
(+.f64 (/.f64 1/2 x) (+.f64 (/.f64 1/16 (pow.f64 x 5)) (/.f64 -1/8 (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 5/128 (/.f64 1 (pow.f64 x 7)))))
(-.f64 (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5))) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 5/128 (pow.f64 x 7))))
(+.f64 (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5))) (-.f64 (/.f64 -1/8 (pow.f64 x 3)) (/.f64 5/128 (pow.f64 x 7))))
(+.f64 (/.f64 1/2 x) (+.f64 (/.f64 1/16 (pow.f64 x 5)) (+.f64 (/.f64 -1/8 (pow.f64 x 3)) (/.f64 -5/128 (pow.f64 x 7)))))
(+.f64 (/.f64 1/2 x) (+.f64 (/.f64 -5/128 (pow.f64 x 7)) (+.f64 (/.f64 1/16 (pow.f64 x 5)) (/.f64 -1/8 (pow.f64 x 3)))))
(*.f64 -2 x)
(*.f64 x -2)
(-.f64 (*.f64 -2 x) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 x -2) (/.f64 1/2 x))
(fma.f64 x -2 (/.f64 -1/2 x))
(-.f64 (+.f64 (*.f64 -2 x) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (fma.f64 -2 x (/.f64 1/8 (pow.f64 x 3))) (/.f64 1/2 x))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (fma.f64 x -2 (/.f64 -1/2 x)))
(fma.f64 x -2 (-.f64 (/.f64 -1/2 x) (/.f64 -1/8 (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 -2 x) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/16 (/.f64 1 (pow.f64 x 5)))))
(-.f64 (fma.f64 -2 x (/.f64 1/8 (pow.f64 x 3))) (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5))))
(fma.f64 x -2 (-.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5)))))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (fma.f64 x -2 (/.f64 -1/2 x)) (/.f64 1/16 (pow.f64 x 5))))
1
(+.f64 1 x)
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) x))
(+.f64 1 (fma.f64 (*.f64 x x) 1/2 x))
(fma.f64 x (*.f64 x 1/2) (+.f64 1 x))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/8 (pow.f64 x 4)) x)))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (fma.f64 -1/8 (pow.f64 x 4) x)))
(+.f64 1 (fma.f64 (*.f64 x x) 1/2 (fma.f64 (pow.f64 x 4) -1/8 x)))
(+.f64 1 (fma.f64 x (*.f64 x 1/2) (fma.f64 (pow.f64 x 4) -1/8 x)))
(*.f64 2 x)
(*.f64 x 2)
(+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(fma.f64 2 x (/.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 (fma.f64 2 x (/.f64 1/2 x)) (/.f64 1/8 (pow.f64 x 3)))
(+.f64 (fma.f64 x 2 (/.f64 1/2 x)) (/.f64 -1/8 (pow.f64 x 3)))
(+.f64 (/.f64 1/2 x) (fma.f64 x 2 (/.f64 -1/8 (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 2 x) (*.f64 1/16 (/.f64 1 (pow.f64 x 5))))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (fma.f64 2 x (/.f64 1/2 x)) (/.f64 1/16 (pow.f64 x 5))) (/.f64 1/8 (pow.f64 x 3)))
(+.f64 (/.f64 1/2 x) (+.f64 (fma.f64 x 2 (/.f64 1/16 (pow.f64 x 5))) (/.f64 -1/8 (pow.f64 x 3))))
(+.f64 (fma.f64 x 2 (/.f64 1/2 x)) (+.f64 (/.f64 1/16 (pow.f64 x 5)) (/.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 (pow.f64 x 3)) (/.f64 -1/2 x))
(-.f64 (/.f64 -1/2 x) (/.f64 -1/8 (pow.f64 x 3)))
(-.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 1/8 (pow.f64 x 3)) (+.f64 (/.f64 -1/2 x) (/.f64 -1/16 (pow.f64 x 5))))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (/.f64 -1/2 x) (/.f64 1/16 (pow.f64 x 5))))
(-.f64 (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 5/128 (/.f64 1 (pow.f64 x 7)))) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))))
(-.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 5/128 (pow.f64 x 7))) (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5))))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (/.f64 5/128 (pow.f64 x 7)) (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5)))))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (+.f64 (/.f64 5/128 (pow.f64 x 7)) (/.f64 -1/2 x)) (/.f64 -1/16 (pow.f64 x 5))))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 5/128 (pow.f64 x 7)) (-.f64 (/.f64 -1/2 x) (/.f64 1/16 (pow.f64 x 5)))))

localize31.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(fma.f64 (fma.f64 3/40 (pow.f64 x 5) (*.f64 -5/112 (pow.f64 x 7))) 1 x)
0.1b
(*.f64 -5/112 (pow.f64 x 7))
0.1b
(*.f64 -1/6 (pow.f64 x 3))
✓21.8b
(fma.f64 3/40 (pow.f64 x 5) (*.f64 -5/112 (pow.f64 x 7)))
Compiler

Compiled 70 to 55 computations (21.4% saved)

series3.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
0.0ms
x
@-inf
(fma.f64 (fma.f64 3/40 (pow.f64 x 5) (*.f64 -5/112 (pow.f64 x 7))) 1 x)
0.0ms
x
@0
(fma.f64 3/40 (pow.f64 x 5) (*.f64 -5/112 (pow.f64 x 7)))
0.0ms
x
@inf
(fma.f64 (fma.f64 3/40 (pow.f64 x 5) (*.f64 -5/112 (pow.f64 x 7))) 1 x)
0.0ms
x
@-inf
(fma.f64 3/40 (pow.f64 x 5) (*.f64 -5/112 (pow.f64 x 7)))
0.0ms
x
@inf
(fma.f64 3/40 (pow.f64 x 5) (*.f64 -5/112 (pow.f64 x 7)))

rewrite79.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
596×unpow-prod-down_binary64
435×log-prod_binary64
349×exp-prod_binary64
285×pow2_binary64
248×pow-prod-down_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01232
124931
2261631
Stop Event
1×node limit
Counts
2 → 91
Calls
Call 1
Inputs
(fma.f64 3/40 (pow.f64 x 5) (*.f64 -5/112 (pow.f64 x 7)))
(fma.f64 (fma.f64 3/40 (pow.f64 x 5) (*.f64 -5/112 (pow.f64 x 7))) 1 x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -5/112 (pow.f64 x 7)) (*.f64 3/40 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 3/40 (pow.f64 x 5)) (*.f64 -5/112 (pow.f64 x 7)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 3/40 (pow.f64 x 5)) 1) (*.f64 -5/112 (pow.f64 x 7)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5)))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5)))) (pow.f64 (cbrt.f64 (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5)))) 2) (cbrt.f64 (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5)))) 2) (*.f64 (cbrt.f64 (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5)))) 2) (pow.f64 (*.f64 (cbrt.f64 (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5)))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5)))) (sqrt.f64 (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5)))) (*.f64 (sqrt.f64 (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5)))) (pow.f64 (*.f64 (sqrt.f64 (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5)))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5))) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 -5/112 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(pow.f64 x 5))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (pow.f64 x 15) 27/64000) (*.f64 (pow.f64 x 21) -125/1404928)) (+.f64 (pow.f64 (*.f64 3/40 (pow.f64 x 5)) 2) (-.f64 (*.f64 (pow.f64 x 14) 25/12544) (*.f64 (*.f64 3/40 (pow.f64 x 5)) (*.f64 -5/112 (pow.f64 x 7))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 3/40 (pow.f64 x 5)) 2) (*.f64 (pow.f64 x 14) 25/12544)) (-.f64 (*.f64 3/40 (pow.f64 x 5)) (*.f64 -5/112 (pow.f64 x 7))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5))))) 2)) (cbrt.f64 (log.f64 (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5)))))) (sqrt.f64 (log.f64 (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 -5/112 (pow.f64 x 7)))) (pow.f64 (exp.f64 3/40) (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 3/40) (pow.f64 x 5)) (+.f64 1 (expm1.f64 (*.f64 -5/112 (pow.f64 x 7))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5)))) 1) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5))) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 x (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 x (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (+.f64 x (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 x (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5))))))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 x (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 x (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5))))) (pow.f64 (cbrt.f64 (+.f64 x (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5))))) 2) (cbrt.f64 (+.f64 x (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5))))) (sqrt.f64 (+.f64 x (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (+.f64 x (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5)))) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5)))) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 (+.f64 x (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5)))) (cbrt.f64 (+.f64 x (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5)))))) 2) 1/3) (cbrt.f64 (cbrt.f64 (+.f64 x (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (+.f64 x (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5)))) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (+.f64 x (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5)))))) 2) 3) (cbrt.f64 (+.f64 x (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5)))))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5)))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5))) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5))) 2) (-.f64 (*.f64 x x) (*.f64 (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5))) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5))) 2) (*.f64 x x)) (-.f64 (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5))) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (+.f64 x (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5)))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5)))))) 2)) (cbrt.f64 (log.f64 (+.f64 x (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5))))))) (sqrt.f64 (log.f64 (+.f64 x (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5)))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 x (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 x (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5))))) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5)))) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5))))) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 x (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 x (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (+.f64 x (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5)))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 x (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5)))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 x (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5))))) 1) 1))))))

simplify164.0ms (1.6%)

Algorithm
1×egg-herbie
Rules
1204×sqr-pow_binary64
708×cube-prod_binary64
678×fabs-mul_binary64
660×pow-sqr_binary64
416×unswap-sqr_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
014288
134288
261288
3119288
4250288
5702288
61046288
71684288
81793288
91955288
102168288
112498288
122954288
133551288
144305288
155239288
165749288
176235288
186635288
196953288
207113288
Stop Event
1×node limit
Counts
115 → 99
Calls
Call 1
Inputs
(*.f64 3/40 (pow.f64 x 5))
(+.f64 (*.f64 3/40 (pow.f64 x 5)) (*.f64 -5/112 (pow.f64 x 7)))
(+.f64 (*.f64 3/40 (pow.f64 x 5)) (*.f64 -5/112 (pow.f64 x 7)))
(+.f64 (*.f64 3/40 (pow.f64 x 5)) (*.f64 -5/112 (pow.f64 x 7)))
(*.f64 -5/112 (pow.f64 x 7))
(+.f64 (*.f64 3/40 (pow.f64 x 5)) (*.f64 -5/112 (pow.f64 x 7)))
(+.f64 (*.f64 3/40 (pow.f64 x 5)) (*.f64 -5/112 (pow.f64 x 7)))
(+.f64 (*.f64 3/40 (pow.f64 x 5)) (*.f64 -5/112 (pow.f64 x 7)))
(*.f64 -5/112 (pow.f64 x 7))
(+.f64 (*.f64 3/40 (pow.f64 x 5)) (*.f64 -5/112 (pow.f64 x 7)))
(+.f64 (*.f64 3/40 (pow.f64 x 5)) (*.f64 -5/112 (pow.f64 x 7)))
(+.f64 (*.f64 3/40 (pow.f64 x 5)) (*.f64 -5/112 (pow.f64 x 7)))
x
(+.f64 (*.f64 3/40 (pow.f64 x 5)) x)
(+.f64 (*.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) x))
(+.f64 (*.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) x))
(*.f64 -5/112 (pow.f64 x 7))
(+.f64 (*.f64 3/40 (pow.f64 x 5)) (*.f64 -5/112 (pow.f64 x 7)))
(+.f64 (*.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) x))
(+.f64 (*.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) x))
(*.f64 -5/112 (pow.f64 x 7))
(+.f64 (*.f64 3/40 (pow.f64 x 5)) (*.f64 -5/112 (pow.f64 x 7)))
(+.f64 (*.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) x))
(+.f64 (*.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) x))
Outputs
(*.f64 3/40 (pow.f64 x 5))
(+.f64 (*.f64 3/40 (pow.f64 x 5)) (*.f64 -5/112 (pow.f64 x 7)))
(fma.f64 3/40 (pow.f64 x 5) (*.f64 -5/112 (pow.f64 x 7)))
(+.f64 (*.f64 3/40 (pow.f64 x 5)) (*.f64 -5/112 (pow.f64 x 7)))
(fma.f64 3/40 (pow.f64 x 5) (*.f64 -5/112 (pow.f64 x 7)))
(+.f64 (*.f64 3/40 (pow.f64 x 5)) (*.f64 -5/112 (pow.f64 x 7)))
(fma.f64 3/40 (pow.f64 x 5) (*.f64 -5/112 (pow.f64 x 7)))
(*.f64 -5/112 (pow.f64 x 7))
(+.f64 (*.f64 3/40 (pow.f64 x 5)) (*.f64 -5/112 (pow.f64 x 7)))
(fma.f64 3/40 (pow.f64 x 5) (*.f64 -5/112 (pow.f64 x 7)))
(+.f64 (*.f64 3/40 (pow.f64 x 5)) (*.f64 -5/112 (pow.f64 x 7)))
(fma.f64 3/40 (pow.f64 x 5) (*.f64 -5/112 (pow.f64 x 7)))
(+.f64 (*.f64 3/40 (pow.f64 x 5)) (*.f64 -5/112 (pow.f64 x 7)))
(fma.f64 3/40 (pow.f64 x 5) (*.f64 -5/112 (pow.f64 x 7)))
(*.f64 -5/112 (pow.f64 x 7))
(+.f64 (*.f64 3/40 (pow.f64 x 5)) (*.f64 -5/112 (pow.f64 x 7)))
(fma.f64 3/40 (pow.f64 x 5) (*.f64 -5/112 (pow.f64 x 7)))
(+.f64 (*.f64 3/40 (pow.f64 x 5)) (*.f64 -5/112 (pow.f64 x 7)))
(fma.f64 3/40 (pow.f64 x 5) (*.f64 -5/112 (pow.f64 x 7)))
(+.f64 (*.f64 3/40 (pow.f64 x 5)) (*.f64 -5/112 (pow.f64 x 7)))
(fma.f64 3/40 (pow.f64 x 5) (*.f64 -5/112 (pow.f64 x 7)))
x
(+.f64 (*.f64 3/40 (pow.f64 x 5)) x)
(fma.f64 3/40 (pow.f64 x 5) x)
(+.f64 (*.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) x))
(fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))
(+.f64 (*.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) x))
(fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))
(*.f64 -5/112 (pow.f64 x 7))
(+.f64 (*.f64 3/40 (pow.f64 x 5)) (*.f64 -5/112 (pow.f64 x 7)))
(fma.f64 3/40 (pow.f64 x 5) (*.f64 -5/112 (pow.f64 x 7)))
(+.f64 (*.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) x))
(fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))
(+.f64 (*.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) x))
(fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))
(*.f64 -5/112 (pow.f64 x 7))
(+.f64 (*.f64 3/40 (pow.f64 x 5)) (*.f64 -5/112 (pow.f64 x 7)))
(fma.f64 3/40 (pow.f64 x 5) (*.f64 -5/112 (pow.f64 x 7)))
(+.f64 (*.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) x))
(fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))
(+.f64 (*.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) x))
(fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(hypot.f64 1 x)
0.1b
(+.f64 x (hypot.f64 1 x))
✓3.1b
(-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
3.2b
(log.f64 (+.f64 x (hypot.f64 1 x)))
Compiler

Compiled 35 to 25 computations (28.6% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@0
(-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
0.0ms
x
@inf
(-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
0.0ms
x
@-inf
(-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)

rewrite116.0ms (1.2%)

Algorithm
1×batch-egg-rewrite
Rules
960×pow1_binary64
897×add-log-exp_binary64
897×log1p-expm1-u_binary64
897×expm1-log1p-u_binary64
97×add-sqr-sqrt_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0815
11839
226859
Stop Event
1×node limit
Counts
1 → 41
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1) 1))))) (#(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 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) -1)))) (#(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 -1 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1) 1)))) (#(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 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 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1) (/.f64 1 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1) (-.f64 (sqrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)) (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2) (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3) -1) (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3) -1) (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (-.f64 1 (*.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1) (-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1)) (neg.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1)) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1))) (-.f64 1 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1)))))) (#(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 (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 pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1/3)))) (#(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 log.f64 (+.f64 x (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (-.f64 (+.f64 x (hypot.f64 1 x)) 1)))))) (#(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 expm1.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (+.f64 x (hypot.f64 1 x)) 1))))) (#(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 1 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2) (cbrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) -1)))))

simplify53.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
569×fma-def_binary64
560×sub-neg_binary64
506×unswap-sqr_binary64
382×associate-+l+_binary64
363×distribute-neg-frac_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
059243
1168230
2461230
31498230
45640230
Stop Event
1×node limit
Counts
53 → 63
Calls
Call 1
Inputs
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) x))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) x)))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(+.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 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
Outputs
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) x))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) x)))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x)))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (log.f64 2) (/.f64 1/4 (*.f64 x x))))
(+.f64 (log.f64 2) (+.f64 (/.f64 1/4 (*.f64 x x)) (log.f64 x)))
(+.f64 (log.f64 2) (+.f64 (log.f64 x) (/.f64 1/4 (*.f64 x x))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (log.f64 2) (/.f64 1/4 (*.f64 x x)))) (/.f64 3/32 (pow.f64 x 4)))
(+.f64 (+.f64 (log.f64 2) (/.f64 1/4 (*.f64 x x))) (+.f64 (log.f64 x) (/.f64 -3/32 (pow.f64 x 4))))
(+.f64 (log.f64 2) (-.f64 (+.f64 (log.f64 x) (/.f64 1/4 (*.f64 x x))) (/.f64 3/32 (pow.f64 x 4))))
(+.f64 (+.f64 (log.f64 2) (/.f64 1/4 (*.f64 x x))) (-.f64 (log.f64 x) (/.f64 3/32 (pow.f64 x 4))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (log.f64 2) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6))))) (/.f64 3/32 (pow.f64 x 4)))
(+.f64 (+.f64 (/.f64 1/4 (*.f64 x x)) (+.f64 (log.f64 2) (/.f64 5/96 (pow.f64 x 6)))) (-.f64 (log.f64 x) (/.f64 3/32 (pow.f64 x 4))))
(+.f64 (+.f64 (log.f64 2) (+.f64 (log.f64 x) (/.f64 1/4 (*.f64 x x)))) (+.f64 (/.f64 5/96 (pow.f64 x 6)) (/.f64 -3/32 (pow.f64 x 4))))
(+.f64 (log.f64 2) (+.f64 (/.f64 1/4 (*.f64 x x)) (+.f64 (/.f64 5/96 (pow.f64 x 6)) (-.f64 (log.f64 x) (/.f64 3/32 (pow.f64 x 4))))))
(+.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 (/.f64 -1 x)) (-.f64 (log.f64 1/2) (/.f64 1/4 (*.f64 x x))))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (/.f64 -1/4 (*.f64 x x))))
(-.f64 (log.f64 (/.f64 -1 x)) (-.f64 (/.f64 1/4 (*.f64 x x)) (log.f64 1/2)))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (log.f64 1/2))) (/.f64 1/4 (*.f64 x x)))
(+.f64 (+.f64 (/.f64 3/32 (pow.f64 x 4)) (log.f64 1/2)) (+.f64 (log.f64 (/.f64 -1 x)) (/.f64 -1/4 (*.f64 x 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 (log.f64 (/.f64 -1 x)) (-.f64 (/.f64 3/32 (pow.f64 x 4)) (-.f64 (/.f64 1/4 (*.f64 x x)) (log.f64 1/2))))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (+.f64 (log.f64 1/2) (/.f64 -1/4 (*.f64 x x)))))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 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))))
(+.f64 (+.f64 (/.f64 3/32 (pow.f64 x 4)) (log.f64 1/2)) (-.f64 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6)))))
(+.f64 (/.f64 3/32 (pow.f64 x 4)) (-.f64 (+.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 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (+.f64 (/.f64 -1/4 (*.f64 x x)) (/.f64 -5/96 (pow.f64 x 6))))))

eval529.0ms (5.3%)

Compiler

Compiled 18562 to 13442 computations (27.6% saved)

prune174.0ms (1.7%)

Pruning

15 alts after pruning (6 fresh and 9 done)

PrunedKeptTotal
New9416947
Fresh101
Picked011
Done4812
Total94615961
Error
0b
Counts
961 → 15
Alt Table
Click to see full alt table
StatusErrorProgram
✓49.7b
(log.f64 (/.f64 -1/2 x))
✓28.6b
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) x)))
✓48.5b
(log.f64 (+.f64 x (-.f64 x (/.f64 -1/2 x))))
✓28.5b
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) x))
✓46.2b
(log.f64 (+.f64 x (hypot.f64 1 x)))
✓28.7b
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
✓49.3b
(log.f64 (*.f64 x 2))
46.4b
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
59.8b
(-.f64 (+.f64 1 x) 1)
✓46.2b
(-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
63.6b
(log.f64 (/.f64 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x)) (-.f64 (+.f64 (*.f64 -2 x) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))) (*.f64 1/2 (/.f64 1 x)))))
62.9b
(log.f64 (/.f64 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x)) (-.f64 (*.f64 -2 x) (*.f64 1/2 (/.f64 1 x)))))
✓49.7b
(*.f64 (+.f64 (/.f64 -1/4 (*.f64 x x)) (log.f64 (*.f64 (/.f64 -1 x) 1/2))) 1)
28.6b
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5))) x))
27.5b
x
Compiler

Compiled 179 to 135 computations (24.6% saved)

regimes97.0ms (1%)

Counts
23 → 3
Calls
Call 1
Inputs
x
x
(-.f64 (+.f64 1 x) 1)
(log.f64 (/.f64 -1/2 x))
(log.f64 (*.f64 x 2))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(log.f64 (+.f64 x (-.f64 x (/.f64 -1/2 x))))
(*.f64 (+.f64 (/.f64 -1/4 (*.f64 x x)) (log.f64 (*.f64 (/.f64 -1 x) 1/2))) 1)
(log.f64 (/.f64 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x)) (-.f64 (*.f64 -2 x) (*.f64 1/2 (/.f64 1 x)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
(log.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/2 x)))
(-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) x))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (/.f64 (/.f64 -1/4 x) x)))
(+.f64 (log1p.f64 (-.f64 (/.f64 -1 x) 1)) (+.f64 (log.f64 1/2) (/.f64 (/.f64 -1/4 x) x)))
(log.f64 (/.f64 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x)) (-.f64 (hypot.f64 1 x) x)))
(log.f64 (/.f64 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x)) (-.f64 (+.f64 (*.f64 -2 x) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))) (*.f64 1/2 (/.f64 1 x)))))
(log.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 -1/2 x) (/.f64 -1/16 (pow.f64 x 5)))))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) x)))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5))) x))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (fma.f64 (fma.f64 3/40 (pow.f64 x 5) (*.f64 -5/112 (pow.f64 x 7))) 1 x))
Outputs
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5))) x))
(log.f64 (+.f64 x (hypot.f64 1 x)))
Calls

3 calls:

52.0ms
x
14.0ms
(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))
14.0ms
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
Results
ErrorSegmentsBranch
0.0b3x
8.5b3(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
8.5b3(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))
Compiler

Compiled 285 to 204 computations (28.4% saved)

bsearch51.0ms (0.5%)

Algorithm
2×binary-search
Steps
TimeLeftRight
24.0ms
0.007629062345911022
106.04846413783518
27.0ms
-0.9671325880616397
-0.0016150761462459268
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes114.0ms (1.1%)

Counts
21 → 3
Calls
Call 1
Inputs
x
x
(-.f64 (+.f64 1 x) 1)
(log.f64 (/.f64 -1/2 x))
(log.f64 (*.f64 x 2))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(log.f64 (+.f64 x (-.f64 x (/.f64 -1/2 x))))
(*.f64 (+.f64 (/.f64 -1/4 (*.f64 x x)) (log.f64 (*.f64 (/.f64 -1 x) 1/2))) 1)
(log.f64 (/.f64 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x)) (-.f64 (*.f64 -2 x) (*.f64 1/2 (/.f64 1 x)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
(log.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/2 x)))
(-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) x))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (/.f64 (/.f64 -1/4 x) x)))
(+.f64 (log1p.f64 (-.f64 (/.f64 -1 x) 1)) (+.f64 (log.f64 1/2) (/.f64 (/.f64 -1/4 x) x)))
(log.f64 (/.f64 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x)) (-.f64 (hypot.f64 1 x) x)))
(log.f64 (/.f64 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x)) (-.f64 (+.f64 (*.f64 -2 x) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))) (*.f64 1/2 (/.f64 1 x)))))
(log.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 -1/2 x) (/.f64 -1/16 (pow.f64 x 5)))))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) x)))
Outputs
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) x)))
(log.f64 (+.f64 x (hypot.f64 1 x)))
Calls

3 calls:

74.0ms
x
15.0ms
(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))
14.0ms
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
Results
ErrorSegmentsBranch
0.0b3x
8.5b3(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
8.5b3(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))
Compiler

Compiled 248 to 175 computations (29.4% saved)

bsearch75.0ms (0.8%)

Algorithm
2×binary-search
Steps
TimeLeftRight
35.0ms
0.007629062345911022
106.04846413783518
40.0ms
-0.9671325880616397
-0.0016150761462459268
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes90.0ms (0.9%)

Counts
20 → 3
Calls
Call 1
Inputs
x
x
(-.f64 (+.f64 1 x) 1)
(log.f64 (/.f64 -1/2 x))
(log.f64 (*.f64 x 2))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(log.f64 (+.f64 x (-.f64 x (/.f64 -1/2 x))))
(*.f64 (+.f64 (/.f64 -1/4 (*.f64 x x)) (log.f64 (*.f64 (/.f64 -1 x) 1/2))) 1)
(log.f64 (/.f64 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x)) (-.f64 (*.f64 -2 x) (*.f64 1/2 (/.f64 1 x)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
(log.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/2 x)))
(-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) x))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (/.f64 (/.f64 -1/4 x) x)))
(+.f64 (log1p.f64 (-.f64 (/.f64 -1 x) 1)) (+.f64 (log.f64 1/2) (/.f64 (/.f64 -1/4 x) x)))
(log.f64 (/.f64 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x)) (-.f64 (hypot.f64 1 x) x)))
(log.f64 (/.f64 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x)) (-.f64 (+.f64 (*.f64 -2 x) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))) (*.f64 1/2 (/.f64 1 x)))))
(log.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 -1/2 x) (/.f64 -1/16 (pow.f64 x 5)))))
Outputs
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) x))
(-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
Calls

3 calls:

60.0ms
x
12.0ms
(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))
11.0ms
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
Results
ErrorSegmentsBranch
0.0b3x
8.5b3(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
8.5b3(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))
Compiler

Compiled 229 to 160 computations (30.1% saved)

bsearch52.0ms (0.5%)

Algorithm
2×binary-search
Steps
TimeLeftRight
26.0ms
2.0178709124197577e-13
0.007629062345911022
26.0ms
-0.9671325880616397
-0.0016150761462459268
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes50.0ms (0.5%)

Counts
14 → 3
Calls
Call 1
Inputs
x
x
(-.f64 (+.f64 1 x) 1)
(log.f64 (/.f64 -1/2 x))
(log.f64 (*.f64 x 2))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(log.f64 (+.f64 x (-.f64 x (/.f64 -1/2 x))))
(*.f64 (+.f64 (/.f64 -1/4 (*.f64 x x)) (log.f64 (*.f64 (/.f64 -1 x) 1/2))) 1)
(log.f64 (/.f64 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x)) (-.f64 (*.f64 -2 x) (*.f64 1/2 (/.f64 1 x)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
(log.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/2 x)))
(-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
Outputs
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
Calls

3 calls:

23.0ms
x
11.0ms
(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))
11.0ms
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
Results
ErrorSegmentsBranch
0.1b3x
8.6b3(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
8.6b3(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))
Compiler

Compiled 128 to 88 computations (31.3% saved)

bsearch51.0ms (0.5%)

Algorithm
2×binary-search
Steps
TimeLeftRight
27.0ms
2.0178709124197577e-13
0.007629062345911022
24.0ms
-0.0016150761462459268
-6.909085043297331e-6
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes49.0ms (0.5%)

Counts
13 → 3
Calls
Call 1
Inputs
x
x
(-.f64 (+.f64 1 x) 1)
(log.f64 (/.f64 -1/2 x))
(log.f64 (*.f64 x 2))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(log.f64 (+.f64 x (-.f64 x (/.f64 -1/2 x))))
(*.f64 (+.f64 (/.f64 -1/4 (*.f64 x x)) (log.f64 (*.f64 (/.f64 -1 x) 1/2))) 1)
(log.f64 (/.f64 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x)) (-.f64 (*.f64 -2 x) (*.f64 1/2 (/.f64 1 x)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
(log.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/2 x)))
Outputs
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(log.f64 (+.f64 x (hypot.f64 1 x)))
Calls

3 calls:

24.0ms
x
12.0ms
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
10.0ms
(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))
Results
ErrorSegmentsBranch
0.1b3x
8.6b3(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
8.6b3(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))
Compiler

Compiled 118 to 80 computations (32.2% saved)

bsearch51.0ms (0.5%)

Algorithm
2×binary-search
Steps
TimeLeftRight
28.0ms
2.0178709124197577e-13
0.007629062345911022
23.0ms
-0.0016150761462459268
-6.909085043297331e-6
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes24.0ms (0.2%)

Counts
10 → 3
Calls
Call 1
Inputs
x
x
(-.f64 (+.f64 1 x) 1)
(log.f64 (/.f64 -1/2 x))
(log.f64 (*.f64 x 2))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(log.f64 (+.f64 x (-.f64 x (/.f64 -1/2 x))))
(*.f64 (+.f64 (/.f64 -1/4 (*.f64 x x)) (log.f64 (*.f64 (/.f64 -1 x) 1/2))) 1)
(log.f64 (/.f64 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x)) (-.f64 (*.f64 -2 x) (*.f64 1/2 (/.f64 1 x)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
Outputs
(*.f64 (+.f64 (/.f64 -1/4 (*.f64 x x)) (log.f64 (*.f64 (/.f64 -1 x) 1/2))) 1)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(log.f64 (+.f64 x (hypot.f64 1 x)))
Calls

1 calls:

19.0ms
x
Results
ErrorSegmentsBranch
0.3b3x
Compiler

Compiled 73 to 49 computations (32.9% saved)

bsearch50.0ms (0.5%)

Algorithm
2×binary-search
Steps
TimeLeftRight
26.0ms
2.0178709124197577e-13
0.007629062345911022
23.0ms
-351.02969063882625
-0.9671325880616397
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes22.0ms (0.2%)

Counts
9 → 3
Calls
Call 1
Inputs
x
x
(-.f64 (+.f64 1 x) 1)
(log.f64 (/.f64 -1/2 x))
(log.f64 (*.f64 x 2))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(log.f64 (+.f64 x (-.f64 x (/.f64 -1/2 x))))
(*.f64 (+.f64 (/.f64 -1/4 (*.f64 x x)) (log.f64 (*.f64 (/.f64 -1 x) 1/2))) 1)
(log.f64 (/.f64 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x)) (-.f64 (*.f64 -2 x) (*.f64 1/2 (/.f64 1 x)))))
Outputs
(*.f64 (+.f64 (/.f64 -1/4 (*.f64 x x)) (log.f64 (*.f64 (/.f64 -1 x) 1/2))) 1)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(log.f64 (+.f64 x (-.f64 x (/.f64 -1/2 x))))
Calls

1 calls:

18.0ms
x
Results
ErrorSegmentsBranch
0.5b3x
Compiler

Compiled 67 to 45 computations (32.8% saved)

bsearch48.0ms (0.5%)

Algorithm
2×binary-search
Steps
TimeLeftRight
24.0ms
0.007629062345911022
106.04846413783518
24.0ms
-351.02969063882625
-0.9671325880616397
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes19.0ms (0.2%)

Counts
7 → 3
Calls
Call 1
Inputs
x
x
(-.f64 (+.f64 1 x) 1)
(log.f64 (/.f64 -1/2 x))
(log.f64 (*.f64 x 2))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(log.f64 (+.f64 x (-.f64 x (/.f64 -1/2 x))))
Outputs
(log.f64 (/.f64 -1/2 x))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(log.f64 (+.f64 x (-.f64 x (/.f64 -1/2 x))))
Calls

1 calls:

16.0ms
x
Results
ErrorSegmentsBranch
0.5b3x
Compiler

Compiled 33 to 22 computations (33.3% saved)

bsearch48.0ms (0.5%)

Algorithm
2×binary-search
Steps
TimeLeftRight
25.0ms
0.007629062345911022
106.04846413783518
23.0ms
-351.02969063882625
-0.9671325880616397
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes16.0ms (0.2%)

Counts
6 → 3
Calls
Call 1
Inputs
x
x
(-.f64 (+.f64 1 x) 1)
(log.f64 (/.f64 -1/2 x))
(log.f64 (*.f64 x 2))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
Outputs
(log.f64 (/.f64 -1/2 x))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(log.f64 (*.f64 x 2))
Calls

1 calls:

15.0ms
x
Results
ErrorSegmentsBranch
0.7b3x
Compiler

Compiled 25 to 17 computations (32% saved)

bsearch45.0ms (0.5%)

Algorithm
2×binary-search
Steps
TimeLeftRight
22.0ms
0.007629062345911022
106.04846413783518
23.0ms
-351.02969063882625
-0.9671325880616397
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes17.0ms (0.2%)

Counts
5 → 3
Calls
Call 1
Inputs
x
x
(-.f64 (+.f64 1 x) 1)
(log.f64 (/.f64 -1/2 x))
(log.f64 (*.f64 x 2))
Outputs
(log.f64 (/.f64 -1/2 x))
x
(log.f64 (*.f64 x 2))
Calls

1 calls:

15.0ms
x
Results
ErrorSegmentsBranch
0.9b3x
Compiler

Compiled 18 to 12 computations (33.3% saved)

bsearch47.0ms (0.5%)

Algorithm
2×binary-search
Steps
TimeLeftRight
23.0ms
0.007629062345911022
106.04846413783518
24.0ms
-351.02969063882625
-0.9671325880616397
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes9.0ms (0.1%)

Counts
4 → 2
Calls
Call 1
Inputs
x
x
(-.f64 (+.f64 1 x) 1)
(log.f64 (/.f64 -1/2 x))
Outputs
(log.f64 (/.f64 -1/2 x))
x
Calls

1 calls:

8.0ms
x
Results
ErrorSegmentsBranch
14.3b2x
Compiler

Compiled 14 to 9 computations (35.7% saved)

bsearch24.0ms (0.2%)

Algorithm
1×binary-search
Steps
TimeLeftRight
24.0ms
-351.02969063882625
-0.9671325880616397
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes6.0ms (0.1%)

Accuracy

Total -32.2b remaining (-117.1%)

Threshold costs -32.2b (-117.1%)

Counts
3 → 1
Calls
Call 1
Inputs
x
x
(-.f64 (+.f64 1 x) 1)
Outputs
x
Calls

1 calls:

5.0ms
x
Results
ErrorSegmentsBranch
27.5b1x
Compiler

Compiled 10 to 6 computations (40% saved)

simplify25.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
18×+-commutative_binary64
9×*-commutative_binary64
6×sub-neg_binary64
3×neg-sub0_binary64
3×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
081479
1110479
2121479
3126479
4128479
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 x -544447245401533/562949953421312) (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (if (<=.f64 x 8795710038587177/1152921504606846976) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5))) x)) (log.f64 (+.f64 x (hypot.f64 1 x)))))
(if (<=.f64 x -544447245401533/562949953421312) (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (if (<=.f64 x 8795710038587177/1152921504606846976) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) x))) (log.f64 (+.f64 x (hypot.f64 1 x)))))
(if (<=.f64 x -544447245401533/562949953421312) (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (if (<=.f64 x 7993610229099971/39614081257132168796771975168) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) x)) (-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)))
(if (<=.f64 x -931028010292241/576460752303423488) (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (if (<=.f64 x 7993610229099971/39614081257132168796771975168) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) (-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)))
(if (<=.f64 x -931028010292241/576460752303423488) (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (if (<=.f64 x 7993610229099971/39614081257132168796771975168) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) (log.f64 (+.f64 x (hypot.f64 1 x)))))
(if (<=.f64 x -6175379624832025/17592186044416) (*.f64 (+.f64 (/.f64 -1/4 (*.f64 x x)) (log.f64 (*.f64 (/.f64 -1 x) 1/2))) 1) (if (<=.f64 x 7993610229099971/39614081257132168796771975168) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) (log.f64 (+.f64 x (hypot.f64 1 x)))))
(if (<=.f64 x -6175379624832025/17592186044416) (*.f64 (+.f64 (/.f64 -1/4 (*.f64 x x)) (log.f64 (*.f64 (/.f64 -1 x) 1/2))) 1) (if (<=.f64 x 8795710038587177/1152921504606846976) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) (log.f64 (+.f64 x (-.f64 x (/.f64 -1/2 x))))))
(if (<=.f64 x -6175379624832025/17592186044416) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 8795710038587177/1152921504606846976) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) (log.f64 (+.f64 x (-.f64 x (/.f64 -1/2 x))))))
(if (<=.f64 x -6175379624832025/17592186044416) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 8795710038587177/1152921504606846976) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) (log.f64 (*.f64 x 2))))
(if (<=.f64 x -6175379624832025/17592186044416) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 8795710038587177/1152921504606846976) x (log.f64 (*.f64 x 2))))
(if (<=.f64 x -6175379624832025/17592186044416) (log.f64 (/.f64 -1/2 x)) x)
x
Outputs
(if (<=.f64 x -544447245401533/562949953421312) (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (if (<=.f64 x 8795710038587177/1152921504606846976) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5))) x)) (log.f64 (+.f64 x (hypot.f64 1 x)))))
(if (<=.f64 x -544447245401533/562949953421312) (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (if (<=.f64 x 8795710038587177/1152921504606846976) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 x (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5))))) (log.f64 (+.f64 x (hypot.f64 1 x)))))
(if (<=.f64 x -544447245401533/562949953421312) (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (if (<=.f64 x 8795710038587177/1152921504606846976) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) x))) (log.f64 (+.f64 x (hypot.f64 1 x)))))
(if (<=.f64 x -544447245401533/562949953421312) (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (if (<=.f64 x 8795710038587177/1152921504606846976) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) (+.f64 x (*.f64 -5/112 (pow.f64 x 7))))) (log.f64 (+.f64 x (hypot.f64 1 x)))))
(if (<=.f64 x -544447245401533/562949953421312) (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (if (<=.f64 x 7993610229099971/39614081257132168796771975168) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) x)) (-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)))
(if (<=.f64 x -544447245401533/562949953421312) (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (if (<=.f64 x 7993610229099971/39614081257132168796771975168) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 x (*.f64 3/40 (pow.f64 x 5)))) (+.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) -1)))
(if (<=.f64 x -931028010292241/576460752303423488) (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (if (<=.f64 x 7993610229099971/39614081257132168796771975168) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) (-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)))
(if (<=.f64 x -931028010292241/576460752303423488) (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (if (<=.f64 x 7993610229099971/39614081257132168796771975168) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (+.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) -1)))
(if (<=.f64 x -931028010292241/576460752303423488) (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (if (<=.f64 x 7993610229099971/39614081257132168796771975168) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) (log.f64 (+.f64 x (hypot.f64 1 x)))))
(if (<=.f64 x -931028010292241/576460752303423488) (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (if (<=.f64 x 7993610229099971/39614081257132168796771975168) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (log.f64 (+.f64 x (hypot.f64 1 x)))))
(if (<=.f64 x -6175379624832025/17592186044416) (*.f64 (+.f64 (/.f64 -1/4 (*.f64 x x)) (log.f64 (*.f64 (/.f64 -1 x) 1/2))) 1) (if (<=.f64 x 7993610229099971/39614081257132168796771975168) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) (log.f64 (+.f64 x (hypot.f64 1 x)))))
(if (<=.f64 x -6175379624832025/17592186044416) (+.f64 (/.f64 -1/4 (*.f64 x x)) (log.f64 (*.f64 (/.f64 -1 x) 1/2))) (if (<=.f64 x 7993610229099971/39614081257132168796771975168) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (log.f64 (+.f64 x (hypot.f64 1 x)))))
(if (<=.f64 x -6175379624832025/17592186044416) (*.f64 (+.f64 (/.f64 -1/4 (*.f64 x x)) (log.f64 (*.f64 (/.f64 -1 x) 1/2))) 1) (if (<=.f64 x 8795710038587177/1152921504606846976) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) (log.f64 (+.f64 x (-.f64 x (/.f64 -1/2 x))))))
(if (<=.f64 x -6175379624832025/17592186044416) (+.f64 (/.f64 -1/4 (*.f64 x x)) (log.f64 (*.f64 (/.f64 -1 x) 1/2))) (if (<=.f64 x 8795710038587177/1152921504606846976) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (log.f64 (+.f64 x (-.f64 x (/.f64 -1/2 x))))))
(if (<=.f64 x -6175379624832025/17592186044416) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 8795710038587177/1152921504606846976) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) (log.f64 (+.f64 x (-.f64 x (/.f64 -1/2 x))))))
(if (<=.f64 x -6175379624832025/17592186044416) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 8795710038587177/1152921504606846976) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (log.f64 (+.f64 x (-.f64 x (/.f64 -1/2 x))))))
(if (<=.f64 x -6175379624832025/17592186044416) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 8795710038587177/1152921504606846976) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) (log.f64 (*.f64 x 2))))
(if (<=.f64 x -6175379624832025/17592186044416) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 8795710038587177/1152921504606846976) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (log.f64 (*.f64 x 2))))
(if (<=.f64 x -6175379624832025/17592186044416) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 8795710038587177/1152921504606846976) x (log.f64 (*.f64 x 2))))
(if (<=.f64 x -6175379624832025/17592186044416) (log.f64 (/.f64 -1/2 x)) x)
x
Compiler

Compiled 334 to 247 computations (26% saved)

soundness27.0ms (0.3%)

Algorithm
3×egg-herbie
Rules
2×+-commutative_binary64
2×+-commutative_binary64
2×+-commutative_binary64
1×1-exp_binary64
1×hypot-1-def_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0812
1139
2149
0812
1139
2149
0812
1139
2149
Stop Event
1×saturated
1×saturated
1×saturated
Compiler

Compiled 81 to 57 computations (29.6% saved)

end177.0ms (1.8%)

Compiler

Compiled 323 to 235 computations (27.2% saved)

Profiling

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