Details

Time bar (total: 9.2s)

analyze104.0ms (1.1%)

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

Compiled 11 to 8 computations (27.3% saved)

sample2.6s (28.8%)

Results
1.2s2543×body1024valid
656.0ms1321×body2048valid
380.0ms3044×body256valid
354.0ms1298×body512valid
35.0ms50×body4096valid

preprocess18.0ms (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)

simplify8.0ms (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
43.1b
Counts
3 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
▶43.1b
(log.f64 (+.f64 x (hypot.f64 1 x)))
Compiler

Compiled 7 to 5 computations (28.6% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(hypot.f64 1 x)
✓0.6b
(+.f64 x (hypot.f64 1 x))
✓2.2b
(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))

rewrite67.0ms (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)))))))

simplify68.0ms (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))))

eval42.0ms (0.5%)

Compiler

Compiled 1814 to 1362 computations (24.9% saved)

prune29.0ms (0.3%)

Pruning

14 alts after pruning (13 fresh and 1 done)

PrunedKeptTotal
New12413137
Fresh000
Picked011
Done000
Total12414138
Error
0.0b
Counts
138 → 14
Alt Table
Click to see full alt table
StatusErrorProgram
▶31.6b
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
▶49.1b
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (/.f64 (/.f64 -1/4 x) x)))
30.4b
x
✓43.1b
(log.f64 (+.f64 x (hypot.f64 1 x)))
45.3b
(exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
46.9b
(log.f64 (+.f64 x (-.f64 x (/.f64 -1/2 x))))
▶31.2b
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) x))
43.2b
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
▶47.5b
(log.f64 (*.f64 x 2))
43.4b
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)
▶63.1b
(log.f64 (+.f64 x (-.f64 (/.f64 -1/2 x) x)))
49.0b
(log.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/2 x)))
49.2b
(log.f64 (/.f64 -1/2 x))
58.8b
(log.f64 (/.f64 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x)) (-.f64 (hypot.f64 1 x) x)))
Compiler

Compiled 263 to 194 computations (26.2% saved)

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (*.f64 3/40 (pow.f64 x 5)) x)
✓0.1b
(*.f64 3/40 (pow.f64 x 5))
✓0.1b
(*.f64 -1/6 (pow.f64 x 3))
✓18.3b
(+.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)

series6.0ms (0.1%)

Counts
4 → 9
Calls

12 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) x))
1.0ms
x
@0
(*.f64 -1/6 (pow.f64 x 3))
1.0ms
x
@0
(*.f64 3/40 (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))
0.0ms
x
@inf
(*.f64 3/40 (pow.f64 x 5))

rewrite93.0ms (1%)

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
01237
127937
2351837
Stop Event
1×node limit
Counts
4 → 175
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))
(+.f64 (*.f64 3/40 (pow.f64 x 5)) x)
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 x 3) (fma.f64 3/40 (pow.f64 x 5) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))) (sqrt.f64 (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 (fma.f64 (pow.f64 x 9) -1/216 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3)) (/.f64 1 (fma.f64 (fma.f64 3/40 (pow.f64 x 5) x) (-.f64 (fma.f64 3/40 (pow.f64 x 5) x) (*.f64 -1/6 (pow.f64 x 3))) (*.f64 (pow.f64 x 6) 1/36))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2)) (/.f64 1 (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 1 (/.f64 (fma.f64 (fma.f64 3/40 (pow.f64 x 5) x) (-.f64 (fma.f64 3/40 (pow.f64 x 5) x) (*.f64 -1/6 (pow.f64 x 3))) (*.f64 (pow.f64 x 6) 1/36)) (fma.f64 (pow.f64 x 9) -1/216 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3))))))) (#(struct:change 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 3/40 (pow.f64 x 5) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (pow.f64 x 10) 9/1600) (-.f64 (*.f64 3/40 (pow.f64 x 5)) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 3/40 (pow.f64 x 5)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 3/40 (pow.f64 x 5) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 3/40 (pow.f64 x 5) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) x)) (pow.f64 (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) x)) 2) (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 3/40 (pow.f64 x 5) x)) (sqrt.f64 (fma.f64 3/40 (pow.f64 x 5) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 x 15) 27/64000 (pow.f64 x 3)) (/.f64 1 (fma.f64 x (-.f64 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3/40 (pow.f64 x 5) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 x (-.f64 x (*.f64 3/40 (pow.f64 x 5))) (*.f64 (pow.f64 x 10) 9/1600)) (fma.f64 (pow.f64 x 15) 27/64000 (pow.f64 x 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (*.f64 3/40 (pow.f64 x 5)) x) (fma.f64 (pow.f64 x 10) 9/1600 (neg.f64 (*.f64 x x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 3/40 (pow.f64 x 5) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 3/40 (pow.f64 x 5) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (pow.f64 (exp.f64 3/40) (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (*.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 (*.f64 3/40 (pow.f64 x 5))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 3/40 (pow.f64 x 5)))) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.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 (*.f64 3/40 (pow.f64 x 5)))) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 3/40 (pow.f64 x 5) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 3/40 (pow.f64 x 5) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 3/40 (pow.f64 x 5) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 3/40 (pow.f64 x 5) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (*.f64 3/40 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 3/40 (pow.f64 x 5) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 5) 3/40 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 3/40 (pow.f64 x 5)) 1 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 3/40 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 3/40 (pow.f64 x 5)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x 10)) (*.f64 (pow.f64 (cbrt.f64 x) 5) 3/40) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 3/40 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 3/40 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 3/40 (pow.f64 x 5))) (cbrt.f64 (*.f64 (pow.f64 x 10) 9/1600)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 10) 9/1600)) (cbrt.f64 (*.f64 3/40 (pow.f64 x 5))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 3/40 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 3/40) (pow.f64 x 5/2)) (*.f64 (sqrt.f64 3/40) (pow.f64 x 5/2)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 5/2) (*.f64 (pow.f64 x 5/2) 3/40) 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) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 3/40 (pow.f64 x 5/2)) (pow.f64 x 5/2) x)))))

simplify151.0ms (1.6%)

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
01266
13066
26066
313166
426066
571366
6107766
7171966
8182766
9198966
10220266
11253266
12298866
13358666
14433866
15527066
16578066
17627266
18667066
19699066
20715266
Stop Event
1×node limit
Counts
184 → 181
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)))
x
(*.f64 3/40 (pow.f64 x 5))
(*.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)))
x
(*.f64 3/40 (pow.f64 x 5))
(*.f64 3/40 (pow.f64 x 5))

localize5.0ms (0.1%)

Compiler

Compiled 10 to 7 computations (30% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(pow.f64 x 3)
✓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)

series3.0ms (0%)

Counts
2 → 3
Calls

6 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
(pow.f64 x 3)
1.0ms
x
@inf
(pow.f64 x 3)
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)

rewrite60.0ms (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
0712
115912
2191312
Stop Event
1×node limit
Counts
2 → 54
Calls
Call 1
Inputs
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(pow.f64 x 3)
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)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 3/2) (pow.f64 x 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) 3) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 x) 3) (pow.f64 (sqrt.f64 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x x) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x x) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 x 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 x 3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 3 (log.f64 x)))))))

simplify159.0ms (1.7%)

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
57 → 56
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))

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(log.f64 (+.f64 x (-.f64 (/.f64 -1/2 x) x)))
✓0.0b
(-.f64 (/.f64 -1/2 x) x)
✓0.8b
(+.f64 x (-.f64 (/.f64 -1/2 x) x))
Compiler

Compiled 26 to 16 computations (38.5% saved)

series50.0ms (0.5%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
23.0ms
x
@0
(log.f64 (+.f64 x (-.f64 (/.f64 -1/2 x) x)))
16.0ms
x
@-inf
(log.f64 (+.f64 x (-.f64 (/.f64 -1/2 x) x)))
10.0ms
x
@inf
(log.f64 (+.f64 x (-.f64 (/.f64 -1/2 x) x)))
1.0ms
x
@0
(+.f64 x (-.f64 (/.f64 -1/2 x) x))
0.0ms
x
@inf
(+.f64 x (-.f64 (/.f64 -1/2 x) x))

rewrite79.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
977×pow1_binary64
918×add-log-exp_binary64
917×log1p-expm1-u_binary64
917×expm1-log1p-u_binary64
88×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0729
116629
2246229
Stop Event
1×node limit
Counts
3 → 98
Calls
Call 1
Inputs
(+.f64 x (-.f64 (/.f64 -1/2 x) x))
(-.f64 (/.f64 -1/2 x) x)
(log.f64 (+.f64 x (-.f64 (/.f64 -1/2 x) x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 -1/2 x) (-.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x (/.f64 -1/2 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (-.f64 (/.f64 -1/2 x) (-.f64 x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x x) (+.f64 (-.f64 x (/.f64 -1/2 x)) x)) (/.f64 (pow.f64 (-.f64 (/.f64 -1/2 x) x) 2) (+.f64 (-.f64 x (/.f64 -1/2 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (/.f64 -1/2 x) (-.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (/.f64 -1/2 x) (-.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (/.f64 -1/2 x) (-.f64 x x))) (pow.f64 (cbrt.f64 (-.f64 (/.f64 -1/2 x) (-.f64 x x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 -1/2 x) (-.f64 x x))) 2) (cbrt.f64 (-.f64 (/.f64 -1/2 x) (-.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (/.f64 -1/2 x) (-.f64 x x))) (sqrt.f64 (-.f64 (/.f64 -1/2 x) (-.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (/.f64 -1/2 x) x) 3)) (/.f64 1 (fma.f64 x x (*.f64 (-.f64 (/.f64 -1/2 x) x) (-.f64 (-.f64 (/.f64 -1/2 x) x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 (/.f64 -1/2 x) x) 2)) (/.f64 1 (+.f64 (-.f64 x (/.f64 -1/2 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (*.f64 (-.f64 (/.f64 -1/2 x) x) (-.f64 (-.f64 (/.f64 -1/2 x) x) x))) (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (/.f64 -1/2 x) x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (-.f64 x (/.f64 -1/2 x)) x) (-.f64 (*.f64 x x) (pow.f64 (-.f64 (/.f64 -1/2 x) x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (/.f64 -1/2 x) x) 3)) (fma.f64 x x (*.f64 (-.f64 (/.f64 -1/2 x) x) (-.f64 (-.f64 (/.f64 -1/2 x) x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (/.f64 -1/2 x) x) 3)) (+.f64 (pow.f64 (-.f64 (/.f64 -1/2 x) x) 2) (-.f64 (*.f64 x x) (*.f64 x (-.f64 (/.f64 -1/2 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 (/.f64 -1/2 x) x) 2)) (+.f64 (-.f64 x (/.f64 -1/2 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (/.f64 -1/2 x) x) 3))) (neg.f64 (fma.f64 x x (*.f64 (-.f64 (/.f64 -1/2 x) x) (-.f64 (-.f64 (/.f64 -1/2 x) x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 (/.f64 -1/2 x) x) 2))) (neg.f64 (+.f64 (-.f64 x (/.f64 -1/2 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 x (/.f64 -1/2 x)) 3) (pow.f64 x 3)) (+.f64 (*.f64 (+.f64 x (/.f64 -1/2 x)) (+.f64 x (/.f64 -1/2 x))) (+.f64 (*.f64 x x) (*.f64 (+.f64 x (/.f64 -1/2 x)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 x (/.f64 -1/2 x)) (+.f64 x (/.f64 -1/2 x))) (*.f64 x x)) (+.f64 (+.f64 x (/.f64 -1/2 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (-.f64 (/.f64 -1/2 x) x) 2) (*.f64 x x)) (-.f64 (-.f64 (/.f64 -1/2 x) x) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (/.f64 -1/2 x) (-.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (/.f64 -1/2 x) (-.f64 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (/.f64 -1/2 x) (-.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (/.f64 -1/2 x) (-.f64 x x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (-.f64 (/.f64 -1/2 x) (-.f64 x x))))) (sqrt.f64 (log.f64 (-.f64 (/.f64 -1/2 x) (-.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (-.f64 (/.f64 -1/2 x) (-.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (/.f64 -1/2 x) (-.f64 x x)))) 2)) (cbrt.f64 (log.f64 (-.f64 (/.f64 -1/2 x) (-.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (/.f64 -1/2 x) (-.f64 x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (/.f64 -1/2 x) (-.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 (/.f64 -1/2 x) (-.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (/.f64 -1/2 x) (-.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (/.f64 -1/2 x) (-.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (/.f64 -1/2 x) (-.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (/.f64 -1/2 x) (-.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (-.f64 (/.f64 -1/2 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (-.f64 (/.f64 -1/2 x) x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 -1/2 x) x)) 2) (cbrt.f64 (-.f64 (/.f64 -1/2 x) x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (-.f64 (/.f64 -1/2 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 (/.f64 -1/2 x) x)) (sqrt.f64 (-.f64 (/.f64 -1/2 x) x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (-.f64 (/.f64 -1/2 x) x))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -1/2 x) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -1/2 x) (*.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 -1/2 x) x) (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 -1/2 x) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 -1/2 x) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 x) (/.f64 -1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (/.f64 -1/2 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (/.f64 -1/2 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (/.f64 -1/2 x) x)) (pow.f64 (cbrt.f64 (-.f64 (/.f64 -1/2 x) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 -1/2 x) x)) 2) (cbrt.f64 (-.f64 (/.f64 -1/2 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (/.f64 -1/2 x) x)) (sqrt.f64 (-.f64 (/.f64 -1/2 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (/.f64 -1/8 (pow.f64 x 3)) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 -1/2 x) 2) (*.f64 x (+.f64 x (/.f64 -1/2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (/.f64 -1/2 x) 2) (*.f64 x x)) (/.f64 1 (+.f64 x (/.f64 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (/.f64 -1/2 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (/.f64 -1/2 x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (/.f64 -1/2 x) 2) (*.f64 x (+.f64 x (/.f64 -1/2 x)))) (-.f64 (/.f64 -1/8 (pow.f64 x 3)) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x (/.f64 -1/2 x)) (-.f64 (pow.f64 (/.f64 -1/2 x) 2) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 -1/8 (pow.f64 x 3)) (pow.f64 x 3)) (+.f64 (pow.f64 (/.f64 -1/2 x) 2) (*.f64 x (+.f64 x (/.f64 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (/.f64 -1/2 x) 2) (*.f64 x x)) (+.f64 x (/.f64 -1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (/.f64 -1/8 (pow.f64 x 3)) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 (/.f64 -1/2 x) 2) (*.f64 x (+.f64 x (/.f64 -1/2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 -1/2 x) 2) (*.f64 x x))) (neg.f64 (+.f64 x (/.f64 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 -1/8 (pow.f64 x 3)) (pow.f64 (neg.f64 x) 3)) (+.f64 (pow.f64 (/.f64 -1/2 x) 2) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (/.f64 -1/2 x) (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (/.f64 -1/2 x) 2) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (/.f64 -1/2 x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (/.f64 -1/2 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (/.f64 -1/2 x) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (/.f64 -1/2 x) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (/.f64 -1/2 x) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (/.f64 -1/2 x) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (/.f64 -1/2 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 (/.f64 -1/2 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (/.f64 -1/2 x) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (/.f64 -1/2 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (/.f64 -1/2 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (/.f64 -1/2 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/2 (/.f64 1 x) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 -1/2 x) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 -1/2 x)) 2) (cbrt.f64 (/.f64 -1/2 x)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 -1/2 x)) (sqrt.f64 (/.f64 -1/2 x)) (neg.f64 x))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (-.f64 (/.f64 -1/2 x) (-.f64 x x)))) (log.f64 (sqrt.f64 (-.f64 (/.f64 -1/2 x) (-.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (-.f64 (/.f64 -1/2 x) (-.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 -1/2 x) (-.f64 x x))) 2)) (log.f64 (cbrt.f64 (-.f64 (/.f64 -1/2 x) (-.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log.f64 (-.f64 (/.f64 -1/2 x) (-.f64 x x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (/.f64 -1/2 x) x) 3))) (log.f64 (fma.f64 x x (*.f64 (-.f64 (/.f64 -1/2 x) x) (-.f64 (-.f64 (/.f64 -1/2 x) x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 (/.f64 -1/2 x) x) 2))) (log.f64 (+.f64 (-.f64 x (/.f64 -1/2 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (-.f64 (/.f64 -1/2 x) (-.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (-.f64 (/.f64 -1/2 x) (-.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (-.f64 (/.f64 -1/2 x) (-.f64 x x)))) (pow.f64 (cbrt.f64 (log.f64 (-.f64 (/.f64 -1/2 x) (-.f64 x x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (/.f64 -1/2 x) (-.f64 x x)))) 2) (cbrt.f64 (log.f64 (-.f64 (/.f64 -1/2 x) (-.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (-.f64 (/.f64 -1/2 x) (-.f64 x x)))) (sqrt.f64 (log.f64 (-.f64 (/.f64 -1/2 x) (-.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (-.f64 (/.f64 -1/2 x) (-.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (-.f64 (/.f64 -1/2 x) (-.f64 x x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (-.f64 (/.f64 -1/2 x) (-.f64 x x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (-.f64 (/.f64 -1/2 x) (-.f64 x x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (-.f64 (/.f64 -1/2 x) (-.f64 x x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (-.f64 (/.f64 -1/2 x) (-.f64 x x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (-.f64 (/.f64 -1/2 x) (-.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (-.f64 (/.f64 -1/2 x) (-.f64 x x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (-.f64 (/.f64 -1/2 x) (-.f64 x x)))))))))

simplify181.0ms (2%)

Algorithm
1×egg-herbie
Rules
1623×fma-neg_binary64
1211×distribute-rgt-in_binary64
704×fma-def_binary64
659×distribute-lft-in_binary64
393×unsub-neg_binary64
Iterations

Useful iterations: 7 (0.0ms)

IterNodesCost
021263
142238
271229
3119229
4223229
5368229
6583229
7960225
82314225
94196225
104744225
114939225
125172225
135265225
145275225
156361225
166361225
176605225
Stop Event
1×node limit
Counts
134 → 108
Calls
Call 1
Inputs
(/.f64 -1/2 x)
(/.f64 -1/2 x)
(/.f64 -1/2 x)
(/.f64 -1/2 x)
(/.f64 -1/2 x)
(/.f64 -1/2 x)
(/.f64 -1/2 x)
(/.f64 -1/2 x)
(/.f64 -1/2 x)
(/.f64 -1/2 x)
(/.f64 -1/2 x)
(/.f64 -1/2 x)
(/.f64 -1/2 x)
(-.f64 (*.f64 -1 x) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 -1 x) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 -1 x) (*.f64 1/2 (/.f64 1 x)))
(*.f64 -1 x)
(-.f64 (*.f64 -1 x) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 -1 x) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 -1 x) (*.f64 1/2 (/.f64 1 x)))
(*.f64 -1 x)
(-.f64 (*.f64 -1 x) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 -1 x) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 -1 x) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 -1/2) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 -1/2) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 -1/2) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 -1/2) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
Outputs
(/.f64 -1/2 x)
(/.f64 -1/2 x)
(/.f64 -1/2 x)
(/.f64 -1/2 x)
(/.f64 -1/2 x)
(/.f64 -1/2 x)
(/.f64 -1/2 x)
(/.f64 -1/2 x)
(/.f64 -1/2 x)
(/.f64 -1/2 x)
(/.f64 -1/2 x)
(/.f64 -1/2 x)
(/.f64 -1/2 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 -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 -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 -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 -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 -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 -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 -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 -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 (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 (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 (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 (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 (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 (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 (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 (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 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
(-.f64 (log.f64 1/2) (log.f64 (neg.f64 x)))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
(-.f64 (log.f64 1/2) (log.f64 (neg.f64 x)))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
(-.f64 (log.f64 1/2) (log.f64 (neg.f64 x)))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
(-.f64 (log.f64 1/2) (log.f64 (neg.f64 x)))

localize22.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

series55.0ms (0.6%)

Counts
4 → 44
Calls

12 calls:

TimeVariablePointExpression
28.0ms
x
@-inf
(log.f64 (/.f64 -1 x))
8.0ms
x
@0
(log.f64 (/.f64 -1 x))
4.0ms
x
@inf
(log.f64 (/.f64 -1 x))
4.0ms
x
@inf
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (/.f64 (/.f64 -1/4 x) x)))
3.0ms
x
@-inf
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (/.f64 (/.f64 -1/4 x) x)))

rewrite114.0ms (1.2%)

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
01245
126943
2375243
Stop Event
1×node limit
Counts
4 → 244
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))
(+.f64 (log.f64 1/2) (/.f64 (/.f64 -1/4 x) x))
Outputs
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-1/64 (pow.f64 (*.f64 x x) 3))) (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)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (log.f64 1/2) 3) (/.f64 -1/64 (pow.f64 (*.f64 x x) 3))) (+.f64 (/.f64 1/16 (pow.f64 (*.f64 x x) 2)) (-.f64 (pow.f64 (log.f64 1/2) 2) (*.f64 (/.f64 -1/4 (*.f64 x x)) (log.f64 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log.f64 1/2) 2) (/.f64 1/16 (pow.f64 (*.f64 x x) 2))) (-.f64 (log.f64 1/2) (/.f64 -1/4 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 1/2) 3) (/.f64 -1/64 (pow.f64 (*.f64 x x) 3)))) (neg.f64 (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))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 1/2) 2) (/.f64 1/16 (pow.f64 (*.f64 x x) 2)))) (neg.f64 (-.f64 (log.f64 1/2) (/.f64 -1/4 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 1/16 (pow.f64 (*.f64 x x) 2)) (pow.f64 (log.f64 1/2) 2)) (-.f64 (/.f64 -1/4 (*.f64 x x)) (log.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 -1/4 (*.f64 x x)) (log.f64 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 -1/4 (*.f64 x x)) (log.f64 1/2)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (/.f64 -1/4 (*.f64 x x)) (log.f64 1/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 (/.f64 (sqrt.f64 -1/4) x) (sqrt.f64 (log.f64 1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 -1/4 (*.f64 x x)) (log.f64 1/2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (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)) (+.f64 (pow.f64 (log.f64 1/2) 3) (/.f64 -1/64 (pow.f64 (*.f64 x x) 3)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (log.f64 1/2) (/.f64 -1/4 (*.f64 x x))) (-.f64 (pow.f64 (log.f64 1/2) 2) (/.f64 1/16 (pow.f64 (*.f64 x x) 2)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (/.f64 -1/4 (*.f64 x x)) (log.f64 1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 1/2 (exp.f64 (/.f64 -1/4 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (fma.f64 1/2 (exp.f64 (/.f64 -1/4 (*.f64 x x))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 -1/4 (*.f64 x x)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 1/2 (+.f64 1 (expm1.f64 (/.f64 -1/4 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (/.f64 -1/4 (*.f64 x x)) (log.f64 1/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 -1/4 (*.f64 x x)) (log.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (fma.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 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 -1/4 (*.f64 x x)) (log.f64 1/2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/4 (/.f64 1 (*.f64 x x)) (log.f64 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/4 (pow.f64 (/.f64 1 x) 2) (log.f64 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/4 (/.f64 (/.f64 1 x) x) (log.f64 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -1/4 x) (/.f64 1 x) (log.f64 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -1/4 (*.f64 x x)) 1 (log.f64 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (log.f64 1/2) 1 (/.f64 -1/4 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 -1/4 (*.f64 x x)) (log.f64 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log.f64 1/2) (/.f64 -1/4 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 -1/4 (*.f64 x x))) (cbrt.f64 (/.f64 1/16 (pow.f64 (*.f64 x x) 2))) (log.f64 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 1/16 (pow.f64 (*.f64 x x) 2))) (cbrt.f64 (/.f64 -1/4 (*.f64 x x))) (log.f64 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 -1/4 (*.f64 x 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 -1/4 (*.f64 x 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 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 -1/4) x) (/.f64 (sqrt.f64 -1/4) x) (log.f64 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log.f64 1/2)) (sqrt.f64 (log.f64 1/2)) (/.f64 -1/4 (*.f64 x x)))))) (#(struct:change 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(/.f64 -1/4 (*.f64 x x))) (log.f64 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 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 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 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 1/2))))))

simplify63.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
842×fma-neg_binary64
775×times-frac_binary64
540×associate-/l/_binary64
377×associate-*l/_binary64
325×associate-/l*_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
032538
171462
2145462
3332462
4897462
52729462
Stop Event
1×node limit
Counts
288 → 259
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))
(/.f64 -1/4 (pow.f64 x 2))
(-.f64 (log.f64 1/2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (log.f64 1/2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (log.f64 1/2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(log.f64 1/2)
(-.f64 (log.f64 1/2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (log.f64 1/2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (log.f64 1/2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(log.f64 1/2)
(-.f64 (log.f64 1/2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (log.f64 1/2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (log.f64 1/2) (*.f64 1/4 (/.f64 1 (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))
(/.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 1/2) (-.f64 (log.f64 (/.f64 -1 x)) (/.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 1/2) (-.f64 (log.f64 (/.f64 -1 x)) (/.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 1/2) (-.f64 (log.f64 (/.f64 -1 x)) (/.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 1/2) (-.f64 (log.f64 (/.f64 -1 x)) (/.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 1/2) (-.f64 (log.f64 (/.f64 -1 x)) (/.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 1/2) (-.f64 (log.f64 (/.f64 -1 x)) (/.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 1/2) (-.f64 (log.f64 (/.f64 -1 x)) (/.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 1/2) (-.f64 (log.f64 (/.f64 -1 x)) (/.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 1/2) (-.f64 (log.f64 (/.f64 -1 x)) (/.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))
(/.f64 -1/4 (pow.f64 x 2))
(/.f64 -1/4 (*.f64 x x))
(-.f64 (log.f64 1/2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (log.f64 1/2) (/.f64 1/4 (*.f64 x x)))
(+.f64 (log.f64 1/2) (/.f64 -1/4 (*.f64 x x)))
(-.f64 (log.f64 1/2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (log.f64 1/2) (/.f64 1/4 (*.f64 x x)))
(+.f64 (log.f64 1/2) (/.f64 -1/4 (*.f64 x x)))
(-.f64 (log.f64 1/2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (log.f64 1/2) (/.f64 1/4 (*.f64 x x)))
(+.f64 (log.f64 1/2) (/.f64 -1/4 (*.f64 x x)))
(log.f64 1/2)
(-.f64 (log.f64 1/2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (log.f64 1/2) (/.f64 1/4 (*.f64 x x)))
(+.f64 (log.f64 1/2) (/.f64 -1/4 (*.f64 x x)))
(-.f64 (log.f64 1/2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (log.f64 1/2) (/.f64 1/4 (*.f64 x x)))
(+.f64 (log.f64 1/2) (/.f64 -1/4 (*.f64 x x)))
(-.f64 (log.f64 1/2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (log.f64 1/2) (/.f64 1/4 (*.f64 x x)))
(+.f64 (log.f64 1/2) (/.f64 -1/4 (*.f64 x x)))
(log.f64 1/2)
(-.f64 (log.f64 1/2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (log.f64 1/2) (/.f64 1/4 (*.f64 x x)))
(+.f64 (log.f64 1/2) (/.f64 -1/4 (*.f64 x x)))
(-.f64 (log.f64 1/2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (log.f64 1/2) (/.f64 1/4 (*.f64 x x)))
(+.f64 (log.f64 1/2) (/.f64 -1/4 (*.f64 x x)))
(-.f64 (log.f64 1/2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (log.f64 1/2) (/.f64 1/4 (*.f64 x x)))
(+.f64 (log.f64 1/2) (/.f64 -1/4 (*.f64 x x)))

eval513.0ms (5.6%)

Compiler

Compiled 10885 to 8043 computations (26.1% saved)

prune174.0ms (1.9%)

Pruning

15 alts after pruning (11 fresh and 4 done)

PrunedKeptTotal
New6156621
Fresh358
Picked101
Done145
Total62015635
Error
0.0b
Counts
635 → 15
Alt Table
Click to see full alt table
StatusErrorProgram
▶49.2b
(log.f64 (/.f64 -1/2 x))
▶31.6b
(+.f64 (*.f64 -1/6 (*.f64 (*.f64 x x) x)) x)
49.0b
(*.f64 (+.f64 (/.f64 -1/4 (*.f64 x x)) (log.f64 (*.f64 (/.f64 -1 x) 1/2))) 1)
58.8b
(log.f64 (/.f64 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x)) (-.f64 (hypot.f64 1 x) x)))
30.4b
x
▶31.7b
(+.f64 (*.f64 -1/6 (-.f64 (+.f64 1 (pow.f64 x 3)) 1)) x)
▶45.3b
(exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
46.9b
(log.f64 (+.f64 x (-.f64 x (/.f64 -1/2 x))))
✓31.2b
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) x))
43.2b
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
▶60.5b
(-.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 1)
✓43.1b
(log.f64 (+.f64 x (hypot.f64 1 x)))
✓47.5b
(log.f64 (*.f64 x 2))
43.4b
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)
✓63.1b
(log.f64 (+.f64 x (-.f64 (/.f64 -1/2 x) x)))
Compiler

Compiled 265 to 195 computations (26.4% saved)

localize24.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

Compiled 27 to 9 computations (66.7% saved)

series3.0ms (0%)

Counts
3 → 36
Calls

9 calls:

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

rewrite69.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
745×pow1_binary64
700×add-log-exp_binary64
700×log1p-expm1-u_binary64
700×expm1-log1p-u_binary64
685×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0719
115019
2199419
Stop Event
1×node limit
Counts
3 → 61
Calls
Call 1
Inputs
(*.f64 -1/6 (*.f64 (*.f64 x x) x))
(*.f64 (*.f64 x x) x)
(+.f64 (*.f64 -1/6 (*.f64 (*.f64 x x) x)) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (cbrt.f64 -1/6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 6) 1/36))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -1/6) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -1/6 (pow.f64 x 3))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 x 3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 3/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 x 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 x 3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 x) 3))))))
((#(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 x (+.f64 (*.f64 -1/6 (*.f64 x x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (+.f64 1 (*.f64 -1/6 (*.f64 x 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) (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3)) (/.f64 1 (+.f64 (*.f64 (pow.f64 x 6) 1/36) (-.f64 (*.f64 x x) (*.f64 -1/6 (pow.f64 x 4))))))))) (#(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 (+.f64 (*.f64 -1/6 (*.f64 x x)) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/36) (-.f64 (*.f64 x x) (*.f64 -1/6 (pow.f64 x 4)))) (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3))))))) (#(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) (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3)) (+.f64 (*.f64 (pow.f64 x 6) 1/36) (-.f64 (*.f64 x x) (*.f64 -1/6 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 -1/6 (pow.f64 x 4)))))))) (#(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) (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3))) (neg.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/36) (-.f64 (*.f64 x x) (*.f64 -1/6 (pow.f64 x 4))))))))) (#(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 (pow.f64 x 3/2) (sqrt.f64 -1/6)) (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/6)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 -1/6 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/6 (*.f64 x x)) x x)))))

simplify196.0ms (2.1%)

Algorithm
1×egg-herbie
Rules
1274×sqr-pow_binary64
666×pow-sqr_binary64
531×cube-prod_binary64
473×fabs-mul_binary64
444×associate-*l*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07219
118219
236219
374219
4142219
5373219
61282219
71990219
82077219
92210219
102368219
112609219
122931219
133354219
143857219
154459219
165179219
175502219
185786219
196008219
206190219
216272219
227212219
Stop Event
1×node limit
Counts
97 → 64
Calls
Call 1
Inputs
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(*.f64 -1/6 (pow.f64 x 3))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(*.f64 -1/6 (pow.f64 x 3))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
Outputs
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
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)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(*.f64 -1/6 (pow.f64 x 3))
(+.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)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(*.f64 -1/6 (pow.f64 x 3))
(+.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)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 10 to 7 computations (30% saved)

series15.0ms (0.2%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
15.0ms
x
@0
(log.f64 (/.f64 -1/2 x))
0.0ms
x
@inf
(log.f64 (/.f64 -1/2 x))
0.0ms
x
@-inf
(log.f64 (/.f64 -1/2 x))

rewrite50.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
474×pow1_binary64
465×add-sqr-sqrt_binary64
453×*-un-lft-identity_binary64
443×add-log-exp_binary64
442×log1p-expm1-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056
11056
212126
Stop Event
1×node limit
Counts
1 → 25
Calls
Call 1
Inputs
(log.f64 (/.f64 -1/2 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 -1/2) (neg.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (/.f64 -1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 -1/2 x)) 2)) (log.f64 (cbrt.f64 (/.f64 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (/.f64 -1/2 x))) (log.f64 (sqrt.f64 (/.f64 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 1/2) (log.f64 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 -1/2) (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (log.f64 (/.f64 -1/2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (log.f64 (/.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (/.f64 -1/2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (/.f64 -1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (/.f64 -1/2 x))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 -1/2 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 -1/2 x))) 2) (cbrt.f64 (log.f64 (/.f64 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (/.f64 -1/2 x))) (sqrt.f64 (log.f64 (/.f64 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log.f64 -1/2) 3) (pow.f64 (log.f64 x) 3)) (+.f64 (*.f64 (log.f64 -1/2) (log.f64 -1/2)) (+.f64 (*.f64 (log.f64 x) (log.f64 x)) (*.f64 (log.f64 -1/2) (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (log.f64 -1/2) (log.f64 -1/2)) (*.f64 (log.f64 x) (log.f64 x))) (+.f64 (log.f64 -1/2) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (/.f64 -1/2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (/.f64 -1/2 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (/.f64 -1/2 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (/.f64 -1/2 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (log.f64 (/.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (/.f64 -1/2 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (/.f64 -1/2 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (/.f64 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (/.f64 -1/2 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (/.f64 -1/2 x))))))))

simplify32.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
155×fma-neg_binary64
118×fma-def_binary64
56×cancel-sign-sub-inv_binary64
44×sub-neg_binary64
39×distribute-rgt-in_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
017124
127108
240108
360108
4109108
5204108
6336108
7510108
8658108
9779108
10799108
Stop Event
1×saturated
Counts
37 → 28
Calls
Call 1
Inputs
(+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 -1/2) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 -1/2) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 -1/2) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 -1/2) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
Outputs
(+.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 (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 (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 (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 (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 (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 (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 (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 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(pow.f64 x 3)
✓0.0b
(+.f64 (*.f64 -1/6 (-.f64 (+.f64 1 (pow.f64 x 3)) 1)) x)
✓0.1b
(*.f64 -1/6 (-.f64 (+.f64 1 (pow.f64 x 3)) 1))
✓1.1b
(-.f64 (+.f64 1 (pow.f64 x 3)) 1)
Compiler

Compiled 40 to 33 computations (17.5% saved)

series3.0ms (0%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
1.0ms
x
@0
(-.f64 (+.f64 1 (pow.f64 x 3)) 1)
0.0ms
x
@inf
(-.f64 (+.f64 1 (pow.f64 x 3)) 1)
0.0ms
x
@-inf
(+.f64 (*.f64 -1/6 (-.f64 (+.f64 1 (pow.f64 x 3)) 1)) x)
0.0ms
x
@0
(+.f64 (*.f64 -1/6 (-.f64 (+.f64 1 (pow.f64 x 3)) 1)) x)
0.0ms
x
@inf
(*.f64 -1/6 (-.f64 (+.f64 1 (pow.f64 x 3)) 1))

rewrite78.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
551×fma-def_binary64
411×log-prod_binary64
311×exp-prod_binary64
282×fma-neg_binary64
277×pow-prod-down_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01037
123419
2316719
Stop Event
1×node limit
Counts
3 → 184
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (pow.f64 x 3)) 1)
(*.f64 -1/6 (-.f64 (+.f64 1 (pow.f64 x 3)) 1))
(+.f64 (*.f64 -1/6 (-.f64 (+.f64 1 (pow.f64 x 3)) 1)) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (pow.f64 x 3) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (+.f64 (pow.f64 x 3) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 x 3) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (pow.f64 x 3)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (pow.f64 x 3) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 x 3))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x 3)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (pow.f64 x 5/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 (*.f64 3 (log1p.f64 (pow.f64 x 3)))) (/.f64 1 (+.f64 (pow.f64 (hypot.f64 1 (pow.f64 x 3/2)) 4) (+.f64 (pow.f64 x 3) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 (*.f64 2 (log1p.f64 (pow.f64 x 3)))) (/.f64 1 (+.f64 (pow.f64 x 3) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 3/2) (pow.f64 x 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (hypot.f64 1 (pow.f64 x 3/2)) 1) (-.f64 (hypot.f64 1 (pow.f64 x 3/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 5/2) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x x) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x (cbrt.f64 x)) 2) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (hypot.f64 1 (pow.f64 x 3/2)) 4) (+.f64 (pow.f64 x 3) 2)) (expm1.f64 (*.f64 3 (log1p.f64 (pow.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 x 3) 2) (expm1.f64 (*.f64 2 (log1p.f64 (pow.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (expm1.f64 (*.f64 3 (log1p.f64 (pow.f64 x 3)))) (+.f64 (pow.f64 (hypot.f64 1 (pow.f64 x 3/2)) 4) (+.f64 (pow.f64 x 3) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (expm1.f64 (*.f64 3 (log1p.f64 (pow.f64 x 3)))) (+.f64 (pow.f64 (hypot.f64 1 (pow.f64 x 3/2)) 4) (-.f64 1 (*.f64 (+.f64 1 (pow.f64 x 3)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (expm1.f64 (*.f64 2 (log1p.f64 (pow.f64 x 3)))) (+.f64 (pow.f64 x 3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (expm1.f64 (*.f64 3 (log1p.f64 (pow.f64 x 3))))) (neg.f64 (+.f64 (pow.f64 (hypot.f64 1 (pow.f64 x 3/2)) 4) (+.f64 (pow.f64 x 3) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (expm1.f64 (*.f64 2 (log1p.f64 (pow.f64 x 3))))) (neg.f64 (+.f64 (pow.f64 x 3) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (+.f64 (pow.f64 x 3) -1) 3)) (+.f64 1 (-.f64 (pow.f64 (+.f64 (pow.f64 x 3) -1) 2) (+.f64 (pow.f64 x 3) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (+.f64 (pow.f64 x 3) -1) 2)) (-.f64 1 (+.f64 (pow.f64 x 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (*.f64 3 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 3) (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 6) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x x) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 x) 9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 x) 6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 9) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 3/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (pow.f64 (hypot.f64 1 (pow.f64 x 3/2)) 4) (+.f64 (pow.f64 x 3) 2)) (expm1.f64 (*.f64 3 (log1p.f64 (pow.f64 x 3))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (pow.f64 x 3) 2) (expm1.f64 (*.f64 2 (log1p.f64 (pow.f64 x 3))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 3 (log.f64 x))) 2)) (cbrt.f64 (*.f64 3 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (*.f64 3 (log.f64 x)))) (sqrt.f64 (*.f64 3 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 x 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 x 9))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (pow.f64 x 3/2) (sqrt.f64 (-.f64 (pow.f64 x 6) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (*.f64 (log1p.f64 (pow.f64 x 3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 3 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x x)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 9 (log.f64 x)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3/2 (log.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 x) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 3 (log.f64 x)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 3 (log.f64 x)) 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 x) 3/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (pow.f64 x 3) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 1 (pow.f64 x 3)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 (pow.f64 x 3) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 x x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 3) 1 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (pow.f64 x 3)) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) x 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 1 (pow.f64 x 3))) (cbrt.f64 (pow.f64 (hypot.f64 1 (pow.f64 x 3/2)) 4)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 (pow.f64 x 3/2)) 4)) (cbrt.f64 (+.f64 1 (pow.f64 x 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 (pow.f64 x 3/2)) 4)) (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 x 3))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (*.f64 x x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 (pow.f64 x 3/2)) (hypot.f64 1 (pow.f64 x 3/2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 (pow.f64 x 3/2)) (*.f64 (hypot.f64 1 (pow.f64 x 3/2)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (pow.f64 x 5/2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (expm1.f64 (*.f64 3 (log1p.f64 (pow.f64 x 3)))) (/.f64 1 (+.f64 (pow.f64 (hypot.f64 1 (pow.f64 x 3/2)) 4) (+.f64 (pow.f64 x 3) 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (pow.f64 x 9)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 x 6) (pow.f64 x 3)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x 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-1/6))))) (#(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 -1/6 (pow.f64 x 3) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (pow.f64 x 3) -1/6) 1 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) (*.f64 x -1/6) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (cbrt.f64 -1/6)) (pow.f64 (*.f64 x (cbrt.f64 -1/6)) 2) 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 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 (pow.f64 x 3) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 (pow.f64 x 3) -1/6))))) (#(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 (pow.f64 x 3) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 3/2) (*.f64 (pow.f64 x 3/2) -1/6) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/6 (*.f64 x x)) x x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/6 (pow.f64 x 3/2)) (pow.f64 x 3/2) x)))))

simplify188.0ms (2%)

Algorithm
1×egg-herbie
Rules
1274×sqr-pow_binary64
666×pow-sqr_binary64
531×cube-prod_binary64
470×fabs-mul_binary64
443×associate-*l*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07219
118219
236219
374219
4142219
5380219
61307219
72021219
82108219
92241219
102399219
112638219
122960219
133381219
143883219
154482219
165204219
175527219
185811219
196033219
206209219
216291219
227231219
Stop Event
1×node limit
Counts
220 → 188
Calls
Call 1
Inputs
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(*.f64 -1/6 (pow.f64 x 3))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(*.f64 -1/6 (pow.f64 x 3))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
Outputs
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) -1/6)
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) -1/6)
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) -1/6)
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) -1/6)
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) -1/6)
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) -1/6)
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) -1/6)
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) -1/6)
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) -1/6)
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) -1/6)
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) -1/6)
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) -1/6)
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(fma.f64 (pow.f64 x 3) -1/6 x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(fma.f64 (pow.f64 x 3) -1/6 x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(fma.f64 (pow.f64 x 3) -1/6 x)
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) -1/6)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(fma.f64 (pow.f64 x 3) -1/6 x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(fma.f64 (pow.f64 x 3) -1/6 x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(fma.f64 (pow.f64 x 3) -1/6 x)
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) -1/6)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(fma.f64 (pow.f64 x 3) -1/6 x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(fma.f64 (pow.f64 x 3) -1/6 x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(fma.f64 (pow.f64 x 3) -1/6 x)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x))
0.0b
(pow.f64 x 3)
✓0.1b
(fma.f64 -1/6 (pow.f64 x 3) x)
✓2.2b
(-.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 1)
Compiler

Compiled 32 to 24 computations (25% saved)

series3.0ms (0%)

Counts
3 → 36
Calls

9 calls:

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

rewrite119.0ms (1.3%)

Algorithm
1×batch-egg-rewrite
Rules
894×pow1_binary64
845×add-log-exp_binary64
844×log1p-expm1-u_binary64
844×expm1-log1p-u_binary64
831×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0939
120527
2254327
Stop Event
1×node limit
Counts
3 → 119
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 1)
(fma.f64 -1/6 (pow.f64 x 3) x)
(+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 -1/6 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 0)))) (#(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 -1/6 (pow.f64 x 3)) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 -1/6 (pow.f64 x 3)) 1) x)))) (#(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 (fma.f64 -1/6 (pow.f64 x 3) x) 1)))) (#(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 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 2) (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 2) -1) (/.f64 1 (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x))) 1) (-.f64 (sqrt.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 2) (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2)) (+.f64 (pow.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2) (+.f64 (pow.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 3) -1) (+.f64 (pow.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 2) (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 3) -1) (+.f64 (pow.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 2) (-.f64 1 (*.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 2) -1) (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 2) -1) (-.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 2) (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 2) -1)) (neg.f64 (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) -1) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) -1) (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) -1)) (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3) (pow.f64 x 3)) (+.f64 (*.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 -1/6 (pow.f64 x 3))) (-.f64 (*.f64 x x) (*.f64 (*.f64 -1/6 (pow.f64 x 3)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) -1) (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) -1))) (-.f64 1 (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 -1/6 (pow.f64 x 3))) (*.f64 x x)) (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x))))) (#(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 (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 pow.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 3) 1/3)))) (#(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 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) -1)))) (#(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 (cbrt.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x))) 2) (cbrt.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x))) (sqrt.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x))) -1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 -1/6 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 0)))) (#(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 -1/6 (pow.f64 x 3)) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 -1/6 (pow.f64 x 3)) 1) x)))) (#(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 (pow.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 3) (+.f64 (pow.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 2) (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 2) (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 2) (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2)) (/.f64 1 (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2)))))) (#(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 (fma.f64 -1/6 (pow.f64 x 3) x) 1)))) (#(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 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 2) (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 2) -1) (/.f64 1 (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x))) 1) (-.f64 (sqrt.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 2) (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2)) (+.f64 (pow.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2) (+.f64 (pow.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 3) -1) (+.f64 (pow.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 2) (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 3) -1) (+.f64 (pow.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 2) (-.f64 1 (*.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 2) -1) (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 2) -1) (-.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 2) (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 2) -1)) (neg.f64 (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) -1) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) -1) (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) -1)) (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3) (pow.f64 x 3)) (+.f64 (*.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 -1/6 (pow.f64 x 3))) (-.f64 (*.f64 x x) (*.f64 (*.f64 -1/6 (pow.f64 x 3)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) -1) (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) -1))) (-.f64 1 (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 -1/6 (pow.f64 x 3))) (*.f64 x x)) (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x))))) (#(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 (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 pow.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 3) 1/3)))) (#(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 -.f64 (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x))) (/.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2) (-.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)))))) (#(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 (cbrt.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x))) (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x))) 2) (cbrt.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x))) 2) (*.f64 (cbrt.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x))) (sqrt.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x))) (*.f64 (sqrt.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2) (fma.f64 -1/6 (pow.f64 x 3) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2)) (/.f64 1 (-.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (-.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2) (fma.f64 -1/6 (pow.f64 x 3) x))) (+.f64 1 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) (-.f64 1 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 3)) (+.f64 1 (-.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2) (fma.f64 -1/6 (pow.f64 x 3) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 3)) (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2) (-.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2)) (-.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 3))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2) (fma.f64 -1/6 (pow.f64 x 3) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2))) (neg.f64 (-.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2) 1) (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 3)) 1) (+.f64 1 (-.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2) (fma.f64 -1/6 (pow.f64 x 3) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2)) 1) (-.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.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)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 1)))))

simplify195.0ms (2.1%)

Algorithm
1×egg-herbie
Rules
1274×sqr-pow_binary64
666×pow-sqr_binary64
531×cube-prod_binary64
472×fabs-mul_binary64
449×associate-*l*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
010275
128275
254275
3109275
4182275
5422275
61388275
72144275
82233275
92367275
102525275
112770275
123092275
133514275
144015275
154617275
165339275
175662275
185946275
196170275
206348275
216428275
227368275
Stop Event
1×node limit
Counts
155 → 87
Calls
Call 1
Inputs
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(*.f64 -1/6 (pow.f64 x 3))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(*.f64 -1/6 (pow.f64 x 3))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(*.f64 -1/6 (pow.f64 x 3))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(*.f64 -1/6 (pow.f64 x 3))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
1
(+.f64 1 x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 1 x))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 1 x))
(*.f64 -1/6 (pow.f64 x 3))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 1 x))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 1 x))
(*.f64 -1/6 (pow.f64 x 3))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 1 x))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 1 x))
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)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(*.f64 -1/6 (pow.f64 x 3))
(+.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)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(*.f64 -1/6 (pow.f64 x 3))
(+.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)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
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)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(*.f64 -1/6 (pow.f64 x 3))
(+.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)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(*.f64 -1/6 (pow.f64 x 3))
(+.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)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
1
(+.f64 1 x)
(+.f64 x 1)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 1 x))
(fma.f64 -1/6 (pow.f64 x 3) (+.f64 x 1))
(+.f64 x (fma.f64 -1/6 (pow.f64 x 3) 1))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 1 x))
(fma.f64 -1/6 (pow.f64 x 3) (+.f64 x 1))
(+.f64 x (fma.f64 -1/6 (pow.f64 x 3) 1))
(*.f64 -1/6 (pow.f64 x 3))
(+.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 1 x))
(fma.f64 -1/6 (pow.f64 x 3) (+.f64 x 1))
(+.f64 x (fma.f64 -1/6 (pow.f64 x 3) 1))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 1 x))
(fma.f64 -1/6 (pow.f64 x 3) (+.f64 x 1))
(+.f64 x (fma.f64 -1/6 (pow.f64 x 3) 1))
(*.f64 -1/6 (pow.f64 x 3))
(+.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 1 x))
(fma.f64 -1/6 (pow.f64 x 3) (+.f64 x 1))
(+.f64 x (fma.f64 -1/6 (pow.f64 x 3) 1))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 1 x))
(fma.f64 -1/6 (pow.f64 x 3) (+.f64 x 1))
(+.f64 x (fma.f64 -1/6 (pow.f64 x 3) 1))

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(hypot.f64 1 x)
✓0.4b
(exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
0.6b
(+.f64 x (hypot.f64 1 x))
2.2b
(log.f64 (+.f64 x (hypot.f64 1 x)))
Compiler

Compiled 32 to 22 computations (31.3% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite72.0ms (0.8%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
089
11459
217459
Stop Event
1×node limit
Counts
1 → 24
Calls
Call 1
Inputs
(exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
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 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 (E.f64) (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(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 pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2)) (cbrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (sqrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))))) (#(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 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))))))

simplify54.0ms (0.6%)

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
36 → 46
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))))))

eval211.0ms (2.3%)

Compiler

Compiled 8303 to 6380 computations (23.2% saved)

prune118.0ms (1.3%)

Pruning

18 alts after pruning (11 fresh and 7 done)

PrunedKeptTotal
New5817588
Fresh246
Picked011
Done268
Total58518603
Error
0.0b
Counts
603 → 18
Alt Table
Click to see full alt table
StatusErrorProgram
43.1b
(+.f64 1 (-.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1))
✓47.5b
(log.f64 (*.f64 x 2))
45.4b
(pow.f64 (E.f64) (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
✓63.1b
(log.f64 (+.f64 x (-.f64 (/.f64 -1/2 x) x)))
▶31.7b
(+.f64 (*.f64 -1/6 (-.f64 (+.f64 1 (*.f64 (*.f64 x x) x)) 1)) x)
62.9b
(log1p.f64 (-.f64 (/.f64 -1/2 x) 1))
30.4b
x
✓49.2b
(log.f64 (/.f64 -1/2 x))
✓31.6b
(+.f64 (*.f64 -1/6 (*.f64 (*.f64 x x) x)) x)
▶59.2b
(-.f64 (+.f64 x 1) 1)
▶49.0b
(*.f64 (+.f64 (/.f64 -1/4 (*.f64 x x)) (log.f64 (*.f64 (/.f64 -1 x) 1/2))) 1)
▶58.8b
(log.f64 (/.f64 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x)) (-.f64 (hypot.f64 1 x) x)))
✓45.3b
(exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
▶46.9b
(log.f64 (+.f64 x (-.f64 x (/.f64 -1/2 x))))
✓31.2b
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) x))
✓43.1b
(log.f64 (+.f64 x (hypot.f64 1 x)))
43.4b
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)
60.5b
(-.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 1 x)) 1)
Compiler

Compiled 283 to 212 computations (25.1% saved)

localize66.0ms (0.7%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (*.f64 -1/6 (-.f64 (+.f64 1 (*.f64 (*.f64 x x) x)) 1)) x)
✓0.1b
(*.f64 -1/6 (-.f64 (+.f64 1 (*.f64 (*.f64 x x) x)) 1))
0.1b
(*.f64 (*.f64 x x) x)
✓1.1b
(-.f64 (+.f64 1 (*.f64 (*.f64 x x) x)) 1)
Compiler

Compiled 52 to 24 computations (53.8% saved)

series2.0ms (0%)

Counts
3 → 36
Calls

9 calls:

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

rewrite82.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
614×fma-def_binary64
416×log-prod_binary64
313×exp-prod_binary64
294×pow-prod-down_binary64
293×fma-neg_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01037
122319
2318119
Stop Event
1×node limit
Counts
3 → 187
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (*.f64 (*.f64 x x) x)) 1)
(*.f64 -1/6 (-.f64 (+.f64 1 (*.f64 (*.f64 x x) x)) 1))
(+.f64 (*.f64 -1/6 (-.f64 (+.f64 1 (*.f64 (*.f64 x x) x)) 1)) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (pow.f64 x 3) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (+.f64 (pow.f64 x 3) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 x 3) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (pow.f64 x 3)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (pow.f64 x 3) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 x 3))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x 3)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 x) x) (pow.f64 (cbrt.f64 x) 5))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 3/2) (pow.f64 x 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (pow.f64 x 5/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 (*.f64 3 (log1p.f64 (pow.f64 x 3)))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (pow.f64 x 3)) 2) (+.f64 (pow.f64 x 3) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 (*.f64 2 (log1p.f64 (pow.f64 x 3)))) (/.f64 1 (+.f64 (pow.f64 x 3) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (hypot.f64 1 (pow.f64 x 3/2)) 1) (-.f64 (hypot.f64 1 (pow.f64 x 3/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (*.f64 (cbrt.f64 x) x)) (pow.f64 (cbrt.f64 x) 2))))) 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((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (pow.f64 x 3) -1/6 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (pow.f64 (exp.f64 -1/6) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (*.f64 (pow.f64 x 3) -1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 (*.f64 (pow.f64 x 3) -1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 x 3) -1/6))) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 -1/6) (pow.f64 x 3)) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 x 3) -1/6))) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (pow.f64 x 3) -1/6 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (pow.f64 x 3) -1/6 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (pow.f64 x 3) -1/6 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (pow.f64 x 3) -1/6 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (pow.f64 x 3) -1/6 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 (pow.f64 x 3) -1/6 x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 (pow.f64 x 3) -1/6 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 (pow.f64 x 3) -1/6 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 (pow.f64 x 3) -1/6 x)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 (pow.f64 x 3) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (pow.f64 x 3) -1/6) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (*.f64 (pow.f64 x 3) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) (*.f64 x -1/6) 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 -1/6 (pow.f64 x 3) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (pow.f64 x 3) -1/6) 1 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (cbrt.f64 -1/6)) (pow.f64 (*.f64 x (cbrt.f64 -1/6)) 2) 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 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 (pow.f64 x 3) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 (pow.f64 x 3) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 3/2) (*.f64 (pow.f64 x 3/2) -1/6) x)))) (#(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 (pow.f64 x 3) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (cbrt.f64 x) x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (pow.f64 x 3) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/6 (*.f64 x x)) x x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/6 (pow.f64 x 3/2)) (pow.f64 x 3/2) x)))))

simplify182.0ms (2%)

Algorithm
1×egg-herbie
Rules
1274×sqr-pow_binary64
666×pow-sqr_binary64
531×cube-prod_binary64
470×fabs-mul_binary64
443×associate-*l*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07219
118219
236219
374219
4142219
5380219
61307219
72021219
82108219
92241219
102399219
112638219
122960219
133381219
143883219
154482219
165204219
175527219
185811219
196033219
206209219
216291219
227231219
Stop Event
1×node limit
Counts
223 → 191
Calls
Call 1
Inputs
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(*.f64 -1/6 (pow.f64 x 3))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(*.f64 -1/6 (pow.f64 x 3))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
Outputs
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) -1/6)
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) -1/6)
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) -1/6)
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) -1/6)
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) -1/6)
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) -1/6)
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) -1/6)
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) -1/6)
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) -1/6)
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) -1/6)
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) -1/6)
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) -1/6)
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(fma.f64 (pow.f64 x 3) -1/6 x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(fma.f64 (pow.f64 x 3) -1/6 x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(fma.f64 (pow.f64 x 3) -1/6 x)
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) -1/6)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(fma.f64 (pow.f64 x 3) -1/6 x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(fma.f64 (pow.f64 x 3) -1/6 x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(fma.f64 (pow.f64 x 3) -1/6 x)
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) -1/6)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(fma.f64 (pow.f64 x 3) -1/6 x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(fma.f64 (pow.f64 x 3) -1/6 x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(fma.f64 (pow.f64 x 3) -1/6 x)

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓2.2b
(-.f64 (+.f64 x 1) 1)
Compiler

Compiled 11 to 8 computations (27.3% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite52.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
533×pow1_binary64
502×add-log-exp_binary64
502×log1p-expm1-u_binary64
502×expm1-log1p-u_binary64
494×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
054
11161
216231
Stop Event
1×node limit
Counts
1 → 41
Calls
Call 1
Inputs
(-.f64 (+.f64 x 1) 1)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) 1) (-.f64 (sqrt.f64 (+.f64 x 1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x 2)) (+.f64 (pow.f64 (+.f64 x 1) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) -1) (+.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) -1) (+.f64 (pow.f64 (+.f64 x 1) 2) (-.f64 1 (*.f64 (+.f64 x 1) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x 2) x) (+.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x 2) x) (-.f64 (+.f64 x 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (+.f64 x 2) x)) (neg.f64 (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) 0) (+.f64 (*.f64 x x) (-.f64 0 (*.f64 x 0))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) 0) (-.f64 x 0))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 x) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x . x)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 x 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (cbrt.f64 (+.f64 x 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1)) -1)))))

simplify9.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0112
Stop Event
1×saturated
Counts
53 → 42
Calls
Call 1
Inputs
x
x
x
x
x
x
x
x
x
x
x
x
Outputs
x
x
x
x
x
x
x
x
x
x
x
x

localize12.0ms (0.1%)

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

Compiled 26 to 16 computations (38.5% saved)

series4.0ms (0%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(log.f64 (+.f64 x (-.f64 x (/.f64 -1/2 x))))
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))))
0.0ms
x
@0
(+.f64 x (-.f64 x (/.f64 -1/2 x)))
0.0ms
x
@inf
(+.f64 x (-.f64 x (/.f64 -1/2 x)))

rewrite91.0ms (1%)

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 x (/.f64 -1/2 x)))
(-.f64 x (/.f64 -1/2 x))
(log.f64 (+.f64 x (-.f64 x (/.f64 -1/2 x))))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (fma.f64 x 2 (/.f64 1/2 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (fma.f64 x 2 (/.f64 1/2 x)))) (log.f64 (sqrt.f64 (fma.f64 x 2 (/.f64 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 1/2 x)) 3))) (log.f64 (/.f64 1 (fma.f64 (+.f64 x (/.f64 1/2 x)) (-.f64 (+.f64 x (/.f64 1/2 x)) x) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x (/.f64 1/2 x)) 2))) (log.f64 (/.f64 1 (+.f64 (-.f64 x x) (/.f64 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (fma.f64 x 2 (/.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 1/2 x)))) (*.f64 2 (log.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 1/2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2 (log.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 1/2 x))))) (log.f64 (cbrt.f64 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2) (*.f64 x x))) (log.f64 (-.f64 (+.f64 x (/.f64 1/2 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (fma.f64 x 2 (/.f64 1/2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (fma.f64 x 2 (/.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 1/2 x)))) (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 1/2 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 1/2 x)))) 2) (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 1/2 x)))) (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3 (log.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (*.f64 3 (log.f64 (fma.f64 x 2 (/.f64 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (log.f64 (sqrt.f64 (fma.f64 x 2 (/.f64 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (log.f64 (fma.f64 x 2 (/.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (pow.f64 (log.f64 (fma.f64 x 2 (/.f64 1/2 x))) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (log.f64 (fma.f64 x 2 (/.f64 1/2 x))) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 (fma.f64 x 2 (/.f64 1/2 x))) (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 1/2 x))))) 2) 1/3) (cbrt.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 1/2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (log.f64 (fma.f64 x 2 (/.f64 1/2 x))) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 1/2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 1/2 x))))) 2) 3) (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 1/2 x))))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 1/2 x))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (fma.f64 x 2 (/.f64 1/2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (fma.f64 x 2 (/.f64 1/2 x))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (fma.f64 x 2 (/.f64 1/2 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 1/2 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 1/2 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (log.f64 (fma.f64 x 2 (/.f64 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 (fma.f64 x 2 (/.f64 1/2 x))))) 2)) (cbrt.f64 (log.f64 (log.f64 (fma.f64 x 2 (/.f64 1/2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 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egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (log.f64 (fma.f64 x 2 (/.f64 1/2 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (log.f64 (fma.f64 x 2 (/.f64 1/2 x))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 1/2 x))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 1/2 x))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 (fma.f64 x 2 (/.f64 1/2 x)))) 1) 1))))))

simplify64.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
804×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
45495411
Stop Event
1×node limit
Counts
303 → 297
Calls
Call 1
Inputs
(/.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 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 (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 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 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 (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)))))

localize25.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

Compiled 54 to 37 computations (31.5% saved)

series4.0ms (0%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
1.0ms
x
@0
(log.f64 (*.f64 (/.f64 -1 x) 1/2))
0.0ms
x
@0
(/.f64 -1/4 (*.f64 x x))
0.0ms
x
@inf
(+.f64 (/.f64 -1/4 (*.f64 x x)) (log.f64 (*.f64 (/.f64 -1 x) 1/2)))
0.0ms
x
@0
(+.f64 (/.f64 -1/4 (*.f64 x x)) (log.f64 (*.f64 (/.f64 -1 x) 1/2)))
0.0ms
x
@inf
(/.f64 -1/4 (*.f64 x x))

rewrite100.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
679×prod-diff_binary64
495×log-prod_binary64
291×pow2_binary64
238×fma-def_binary64
201×expm1-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01128
124226
2310126
Stop Event
1×node limit
Counts
3 → 132
Calls
Call 1
Inputs
(/.f64 -1/4 (*.f64 x x))
(log.f64 (*.f64 (/.f64 -1 x) 1/2))
(+.f64 (/.f64 -1/4 (*.f64 x x)) (log.f64 (*.f64 (/.f64 -1 x) 1/2)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 -1/4 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/4) (pow.f64 x -2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/4) (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/4) (pow.f64 x -2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/4) (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 -1/4 (*.f64 x x)))) 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 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 -1/4 (*.f64 x 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 (cbrt.f64 (/.f64 -1/4 (*.f64 x x))) (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 (*.f64 x x))))))) (#(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 (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 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/16 (pow.f64 x 4)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 -1/4 (*.f64 x x))) 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 -1/64 (pow.f64 x -6)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x x) -4) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (*.f64 x x) -4) 1) -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 log.f64 (+.f64 1 (expm1.f64 (/.f64 -1/4 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 -1/64 (pow.f64 x -6)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -1/4 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -1/4 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 -1/4 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 -1/4 (*.f64 x x))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (/.f64 -1/2 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 -1) (log.f64 (*.f64 (/.f64 1 x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (/.f64 -1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (/.f64 -1/2 x))) (log.f64 (sqrt.f64 (/.f64 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 -1/2) (neg.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (pow.f64 x -2))) (log.f64 (*.f64 (/.f64 -1 (cbrt.f64 x)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2 (log.f64 (cbrt.f64 (/.f64 -1/2 x)))) (log.f64 (cbrt.f64 (/.f64 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (neg.f64 x) -1/2)) (log.f64 (*.f64 (pow.f64 (neg.f64 x) -1/2) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (/.f64 -1/2 x))) (*.f64 2 (log.f64 (cbrt.f64 (/.f64 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 (/.f64 -1 x)) 1) (*.f64 (log.f64 1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 1/2 (cbrt.f64 (pow.f64 x -2)))) (log.f64 (/.f64 -1 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 1/2 (pow.f64 (neg.f64 x) -1/2))) (log.f64 (pow.f64 (neg.f64 x) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 1/2) (log.f64 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log.f64 (/.f64 -1/2 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (log.f64 (/.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 -1/2) (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (/.f64 -1/2 (pow.f64 (cbrt.f64 x) 2))) (log.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (/.f64 -1/2 (sqrt.f64 x))) (log.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (/.f64 -1/2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (/.f64 -1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (/.f64 -1/2 x))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 -1/2 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 -1/2 x))) 2) (cbrt.f64 (log.f64 (/.f64 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (/.f64 -1/2 x))) (sqrt.f64 (log.f64 (/.f64 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (log.f64 (sqrt.f64 (/.f64 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3 (log.f64 (cbrt.f64 (/.f64 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (*.f64 3 (log.f64 (/.f64 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 3) (pow.f64 (log.f64 1/2) 3)) (+.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 2) (-.f64 (pow.f64 (log.f64 1/2) 2) (*.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 2) (pow.f64 (log.f64 1/2) 2)) (log.f64 (/.f64 (/.f64 -1 x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (/.f64 -1/2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (/.f64 -1/2 x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (/.f64 -1/2 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (/.f64 -1/2 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (/.f64 -1/2 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (log.f64 (/.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (/.f64 -1/2 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (/.f64 -1/2 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (/.f64 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (/.f64 -1/2 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (/.f64 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (log.f64 (/.f64 -1/2 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log.f64 1/2) (log.f64 (/.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log.f64 (/.f64 -1 x)) (log.f64 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (log.f64 (/.f64 -1 x)) 1 (*.f64 (log.f64 1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 -1 x))) 2) (cbrt.f64 (log.f64 (/.f64 -1 x))) (log.f64 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log.f64 1/2)) 2) (cbrt.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))) (log.f64 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log.f64 1/2)) (sqrt.f64 (log.f64 1/2)) (log.f64 (/.f64 -1 x)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 -1/4 (pow.f64 x -2) (log.f64 (/.f64 -1/2 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 1/16 (pow.f64 x 4)) (-.f64 (/.f64 -1/4 (*.f64 x x)) (log.f64 (/.f64 -1/2 x)))) (/.f64 (pow.f64 (log.f64 (/.f64 -1/2 x)) 2) (-.f64 (/.f64 -1/4 (*.f64 x x)) (log.f64 (/.f64 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -1/4 (pow.f64 x -2) (log.f64 (/.f64 -1/2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 -1/4 (pow.f64 x -2) (log.f64 (/.f64 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 -1/4 (pow.f64 x -2) (log.f64 (/.f64 -1/2 x)))) (pow.f64 (cbrt.f64 (fma.f64 -1/4 (pow.f64 x -2) (log.f64 (/.f64 -1/2 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/4 (pow.f64 x -2) (log.f64 (/.f64 -1/2 x)))) 2) (cbrt.f64 (fma.f64 -1/4 (pow.f64 x -2) (log.f64 (/.f64 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 -1/4 (pow.f64 x -2) (log.f64 (/.f64 -1/2 x)))) (sqrt.f64 (fma.f64 -1/4 (pow.f64 x -2) (log.f64 (/.f64 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -1/64 (pow.f64 x -6) (pow.f64 (log.f64 (/.f64 -1/2 x)) 3)) (/.f64 1 (fma.f64 (log.f64 (/.f64 -1/2 x)) (-.f64 (log.f64 (/.f64 -1/2 x)) (/.f64 -1/4 (*.f64 x x))) (/.f64 1/16 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (/.f64 1/16 (pow.f64 x 4)) (pow.f64 (log.f64 (/.f64 -1/2 x)) 2)) (/.f64 1 (-.f64 (/.f64 -1/4 (*.f64 x x)) (log.f64 (/.f64 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (log.f64 (/.f64 -1/2 x)) (-.f64 (log.f64 (/.f64 -1/2 x)) (/.f64 -1/4 (*.f64 x x))) (/.f64 1/16 (pow.f64 x 4))) (fma.f64 -1/64 (pow.f64 x -6) (pow.f64 (log.f64 (/.f64 -1/2 x)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (/.f64 -1/4 (*.f64 x x)) (log.f64 (/.f64 -1/2 x))) (-.f64 (/.f64 1/16 (pow.f64 x 4)) (pow.f64 (log.f64 (/.f64 -1/2 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -1/64 (pow.f64 x -6) (pow.f64 (log.f64 (/.f64 -1/2 x)) 3)) (fma.f64 (log.f64 (/.f64 -1/2 x)) (-.f64 (log.f64 (/.f64 -1/2 x)) (/.f64 -1/4 (*.f64 x x))) (/.f64 1/16 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -1/64 (pow.f64 x -6) (pow.f64 (log.f64 (/.f64 -1/2 x)) 3)) (+.f64 (pow.f64 (log.f64 (/.f64 -1/2 x)) 2) (-.f64 (/.f64 1/16 (pow.f64 x 4)) (*.f64 -1/4 (*.f64 (pow.f64 x -2) (log.f64 (/.f64 -1/2 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 1/16 (pow.f64 x 4)) (pow.f64 (log.f64 (/.f64 -1/2 x)) 2)) (-.f64 (/.f64 -1/4 (*.f64 x x)) (log.f64 (/.f64 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 -1/64 (pow.f64 x -6) (pow.f64 (log.f64 (/.f64 -1/2 x)) 3))) (neg.f64 (fma.f64 (log.f64 (/.f64 -1/2 x)) (-.f64 (log.f64 (/.f64 -1/2 x)) (/.f64 -1/4 (*.f64 x x))) (/.f64 1/16 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (/.f64 1/16 (pow.f64 x 4)) (pow.f64 (log.f64 (/.f64 -1/2 x)) 2))) (neg.f64 (-.f64 (/.f64 -1/4 (*.f64 x x)) (log.f64 (/.f64 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log.f64 (/.f64 -1/2 x)) 2) (/.f64 1/16 (pow.f64 x 4))) (-.f64 (log.f64 (/.f64 -1/2 x)) (/.f64 -1/4 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 -1/4 (pow.f64 x -2) (log.f64 (/.f64 -1/2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -1/4 (pow.f64 x -2) (log.f64 (/.f64 -1/2 x))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -1/4 (pow.f64 x -2) (log.f64 (/.f64 -1/2 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 -1/4 (pow.f64 x -2) (log.f64 (/.f64 -1/2 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 -1/4 (pow.f64 x -2) (log.f64 (/.f64 -1/2 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (log.f64 (/.f64 -1/2 x)) (-.f64 (log.f64 (/.f64 -1/2 x)) (/.f64 -1/4 (*.f64 x x))) (/.f64 1/16 (pow.f64 x 4))) (fma.f64 -1/64 (pow.f64 x -6) (pow.f64 (log.f64 (/.f64 -1/2 x)) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (/.f64 -1/4 (*.f64 x x)) (log.f64 (/.f64 -1/2 x))) (-.f64 (/.f64 1/16 (pow.f64 x 4)) (pow.f64 (log.f64 (/.f64 -1/2 x)) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 -1/4 (pow.f64 x -2) (log.f64 (/.f64 -1/2 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (/.f64 -1/2 x) (pow.f64 (exp.f64 -1/4) (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/4 (pow.f64 x -2) (log.f64 (/.f64 -1/2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 -1/4 (*.f64 x x)))) (/.f64 -1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 -1/4) (pow.f64 x -2)) (+.f64 1 (-.f64 (/.f64 -1/2 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 -1/4 (*.f64 x x)))) (+.f64 1 (-.f64 (/.f64 -1/2 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (-.f64 (/.f64 -1/2 x) 1)) (pow.f64 (exp.f64 -1/4) (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (/.f64 -1/2 x) (+.f64 1 (expm1.f64 (/.f64 -1/4 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (-.f64 (/.f64 -1/2 x) 1)) (+.f64 1 (expm1.f64 (/.f64 -1/4 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 -1/4 (pow.f64 x -2) (log.f64 (/.f64 -1/2 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 -1/4 (pow.f64 x -2) (log.f64 (/.f64 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 -1/4 (pow.f64 x -2) (log.f64 (/.f64 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 -1/4 (pow.f64 x -2) (log.f64 (/.f64 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 -1/4 (pow.f64 x -2) (log.f64 (/.f64 -1/2 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/4 (pow.f64 x -2) (log.f64 (/.f64 -1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -1/4 (*.f64 x x)) 1 (log.f64 (/.f64 -1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (log.f64 (/.f64 -1/2 x)) 1 (/.f64 -1/4 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 -1/4 (*.f64 x x)) (log.f64 (/.f64 -1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log.f64 (/.f64 -1/2 x)) (/.f64 -1/4 (*.f64 x x)))))) (#(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 1/4 (/.f64 1 (*.f64 x (neg.f64 x))) (log.f64 (/.f64 -1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 -1/4 (*.f64 x x))) (cbrt.f64 (/.f64 1/16 (pow.f64 x 4))) (log.f64 (/.f64 -1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 1/16 (pow.f64 x 4))) (cbrt.f64 (/.f64 -1/4 (*.f64 x x))) (log.f64 (/.f64 -1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (log.f64 (/.f64 -1/2 x))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 -1/2 x))) 2) (/.f64 -1/4 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 -1/2 x))) 2) (cbrt.f64 (log.f64 (/.f64 -1/2 x))) (/.f64 -1/4 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 -1/4) x) (/.f64 (sqrt.f64 -1/4) x) (log.f64 (/.f64 -1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log.f64 (/.f64 -1/2 x))) (sqrt.f64 (log.f64 (/.f64 -1/2 x))) (/.f64 -1/4 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x -2) -1/4 (log.f64 (/.f64 -1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -1/4 x) (/.f64 1 x) (log.f64 (/.f64 -1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 -1 x))) 2) (cbrt.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 (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))))))))

simplify80.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
826×fma-neg_binary64
773×times-frac_binary64
539×associate-/l/_binary64
381×associate-*l/_binary64
317×associate-/l*_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
027410
157380
2113380
3268380
4782380
52542380
Stop Event
1×node limit
Counts
168 → 141
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 (log.f64 -1/2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 -1/2) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 -1/2) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 -1/2) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 -1/2) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
(/.f64 -1/4 (pow.f64 x 2))
(-.f64 (+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.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 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 -1/2) (log.f64 (/.f64 1 x))) (*.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 -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 (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 (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 (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 (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 (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 (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 (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 (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 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
(/.f64 -1/4 (pow.f64 x 2))
(/.f64 -1/4 (*.f64 x x))
(-.f64 (+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 -1/2) (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 -1 (log.f64 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 -1/2) (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 -1 (log.f64 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 -1/2) (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 (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 (+.f64 (log.f64 -1/2) (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) (log.f64 (/.f64 1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 -1/2) (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) (log.f64 (/.f64 1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 -1/2) (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 (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 (log.f64 (/.f64 -1 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 (+.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 (log.f64 (/.f64 -1 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 (+.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 (log.f64 (/.f64 -1 x)) (/.f64 -1/4 (*.f64 x x))))
(+.f64 (log.f64 1/2) (-.f64 (log.f64 (/.f64 -1 x)) (/.f64 1/4 (*.f64 x x))))

localize73.0ms (0.8%)

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))
✓0.2b
(-.f64 (hypot.f64 1 x) x)
✓2.4b
(log.f64 (/.f64 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x)) (-.f64 (hypot.f64 1 x) x)))
✓15.5b
(-.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
@inf
(-.f64 (hypot.f64 1 x) x)
1.0ms
x
@-inf
(-.f64 (hypot.f64 1 x) x)

rewrite117.0ms (1.3%)

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 x)))) (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (*.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 6) (pow.f64 x 6)) 1)) (log.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x x (fma.f64 x x 1)) (pow.f64 (hypot.f64 1 x) 4)) (-.f64 (hypot.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (*.f64 (*.f64 (fma.f64 x x (fma.f64 x x 1)) 1) 1)) (log.f64 (*.f64 (fma.f64 x x (fma.f64 x x 1)) (-.f64 (hypot.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (-.f64 (*.f64 (fma.f64 x x 1) (-.f64 (hypot.f64 1 x) x)) (*.f64 (-.f64 (hypot.f64 1 x) x) (*.f64 x x)))) (log.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) -2)))))) (#(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 (hypot.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 x x 1) (+.f64 x (hypot.f64 1 x))) 3) (pow.f64 (*.f64 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(hypot.f64 1 x) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (*.f64 (*.f64 (fma.f64 x x (fma.f64 x x 1)) 1) (+.f64 x (hypot.f64 1 x)))) (log1p.f64 (fma.f64 x x (*.f64 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 *.f64 2 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (log.f64 (-.f64 (hypot.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 0 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 3)) (+.f64 0 (+.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2) (*.f64 0 (log.f64 (-.f64 (hypot.f64 1 x) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 0 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2)) (log.f64 (-.f64 (hypot.f64 1 x) 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))) 2) 1/2)))) (#(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 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 neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (log.f64 (neg.f64 (neg.f64 (-.f64 (hypot.f64 1 x) x)))))))) (#(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 exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (hypot.f64 1 x) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (hypot.f64 1 x) (*.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (hypot.f64 1 x) x) (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (hypot.f64 1 x) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (hypot.f64 1 x) x) (+.f64 (neg.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (hypot.f64 1 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 x) (hypot.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (hypot.f64 1 x) x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (hypot.f64 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (hypot.f64 1 x) x)))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (hypot.f64 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (hypot.f64 1 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (hypot.f64 1 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) (cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) -2)) (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x (+.f64 x (hypot.f64 1 x)) (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) -2)) 1) (/.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) 1) (/.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (hypot.f64 1 x) x) (-.f64 (pow.f64 (hypot.f64 1 x) 6) (pow.f64 x 6))) (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 (/.f64 (-.f64 (hypot.f64 1 x) x) (*.f64 (fma.f64 x x (fma.f64 x x 1)) 1)) (fma.f64 x x (fma.f64 x x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (+.f64 x (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x (+.f64 x (hypot.f64 1 x)) (fma.f64 x x 1)) (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x (hypot.f64 1 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (hypot.f64 1 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 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(cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2))) (pow.f64 (E.f64) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (E.f64) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) (pow.f64 (E.f64) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (hypot.f64 1 x) x) -1)))) (#(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 (hypot.f64 1 x) x) 3) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) -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 (hypot.f64 1 x) x)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (*.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))))) (#(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 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (neg.f64 (-.f64 (hypot.f64 1 x) x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (E.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 pow.f64 (pow.f64 (E.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 (pow.f64 (E.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 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (sqrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) 1) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2)) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 1 (neg.f64 (-.f64 (hypot.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) 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 log.f64 (+.f64 1 (expm1.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (hypot.f64 1 x))) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (hypot.f64 1 x)) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (hypot.f64 1 x))) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) 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 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)))))))))

simplify233.0ms (2.5%)

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)))))

eval605.0ms (6.6%)

Compiler

Compiled 17357 to 12209 computations (29.7% saved)

prune153.0ms (1.7%)

Pruning

25 alts after pruning (15 fresh and 10 done)

PrunedKeptTotal
New98811999
Fresh246
Picked101
Done11011
Total992251017
Error
0b
Counts
1017 → 25
Alt Table
Click to see full alt table
StatusErrorProgram
43.2b
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
59.3b
(+.f64 1 (+.f64 x -1))
43.1b
(+.f64 1 (-.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1))
31.1b
(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x)))
✓47.5b
(log.f64 (*.f64 x 2))
49.0b
(*.f64 (+.f64 (/.f64 -1/4 (*.f64 x x)) (neg.f64 (log.f64 (/.f64 x -1/2)))) 1)
30.4b
x
45.4b
(pow.f64 (E.f64) (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
✓63.1b
(log.f64 (+.f64 x (-.f64 (/.f64 -1/2 x) x)))
31.0b
(*.f64 (*.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2)))
✓31.7b
(+.f64 (*.f64 -1/6 (-.f64 (+.f64 1 (*.f64 (*.f64 x x) x)) 1)) x)
62.9b
(log1p.f64 (-.f64 (/.f64 -1/2 x) 1))
62.2b
(log.f64 (/.f64 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x)) (-.f64 (*.f64 -2 x) (*.f64 1/2 (/.f64 1 x)))))
✓49.2b
(log.f64 (/.f64 -1/2 x))
✓31.6b
(+.f64 (*.f64 -1/6 (*.f64 (*.f64 x x) x)) x)
60.5b
(-.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 1 x)) 1)
49.1b
(*.f64 (+.f64 (/.f64 -1/4 (*.f64 x x)) (*.f64 1/3 (*.f64 3 (log.f64 (/.f64 -1/2 x))))) 1)
✓45.3b
(exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
✓46.9b
(log.f64 (+.f64 x (-.f64 x (/.f64 -1/2 x))))
✓31.2b
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) x))
✓43.1b
(log.f64 (+.f64 x (hypot.f64 1 x)))
45.0b
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
59.1b
(-.f64 (log.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 x x 1) (+.f64 x (hypot.f64 1 x))) 2) (pow.f64 (*.f64 (*.f64 x x) (+.f64 x (hypot.f64 1 x))) 2))) (log.f64 (fma.f64 (fma.f64 x x 1) (+.f64 x (hypot.f64 1 x)) (*.f64 (*.f64 x x) (+.f64 x (hypot.f64 1 x))))))
48.1b
(/.f64 (-.f64 (*.f64 x x) 0) (-.f64 x 0))
✓59.2b
(-.f64 (+.f64 x 1) 1)
Compiler

Compiled 287 to 211 computations (26.5% saved)

regimes108.0ms (1.2%)

Counts
39 → 3
Calls
Call 1
Inputs
x
x
x
x
(+.f64 1 (+.f64 x -1))
(-.f64 (+.f64 x 1) 1)
(/.f64 (-.f64 (*.f64 x x) 0) (-.f64 x 0))
(+.f64 (*.f64 -1/6 (*.f64 (*.f64 x x) x)) x)
(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x)))
(*.f64 (*.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2)))
(+.f64 (*.f64 -1/6 (-.f64 (+.f64 1 (*.f64 (*.f64 x x) x)) 1)) x)
(log.f64 (/.f64 -1/2 x))
(log.f64 (*.f64 x 2))
(log.f64 (/.f64 -1/2 x))
(log1p.f64 (-.f64 (/.f64 -1/2 x) 1))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(log.f64 (+.f64 x (-.f64 x (/.f64 -1/2 x))))
(log.f64 (+.f64 x (-.f64 (/.f64 -1/2 x) x)))
(-.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 1 x)) 1)
(+.f64 (*.f64 -1/6 (-.f64 (+.f64 1 (pow.f64 x 3)) 1)) x)
(*.f64 (+.f64 (/.f64 -1/4 (*.f64 x x)) (neg.f64 (log.f64 (/.f64 x -1/2)))) 1)
(*.f64 (+.f64 (/.f64 -1/4 (*.f64 x x)) (log.f64 (*.f64 (/.f64 -1 x) 1/2))) 1)
(*.f64 (+.f64 (/.f64 -1/4 (*.f64 x x)) (*.f64 1/3 (*.f64 3 (log.f64 (/.f64 -1/2 x))))) 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))))
(+.f64 1 (-.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1))
(-.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 1)
(log.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/2 x)))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (/.f64 (/.f64 -1/4 x) x)))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) x))
(log.f64 (/.f64 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x)) (-.f64 (hypot.f64 1 x) x)))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)
(pow.f64 (E.f64) (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(-.f64 (log.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 x x 1) (+.f64 x (hypot.f64 1 x))) 2) (pow.f64 (*.f64 (*.f64 x x) (+.f64 x (hypot.f64 1 x))) 2))) (log.f64 (fma.f64 (fma.f64 x x 1) (+.f64 x (hypot.f64 1 x)) (*.f64 (*.f64 x x) (+.f64 x (hypot.f64 1 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)) x))
(log.f64 (+.f64 x (hypot.f64 1 x)))
Calls

3 calls:

62.0ms
x
17.0ms
(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))
16.0ms
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
Results
ErrorSegmentsBranch
0.0b3x
7.5b3(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
7.5b3(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))
Compiler

Compiled 405 to 278 computations (31.4% saved)

bsearch49.0ms (0.5%)

Algorithm
2×binary-search
Steps
TimeLeftRight
24.0ms
0.0008121028484948965
0.026087017611604327
24.0ms
-0.04236241595878873
-0.0004251712491688734
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes110.0ms (1.2%)

Counts
31 → 3
Calls
Call 1
Inputs
x
x
x
x
(+.f64 1 (+.f64 x -1))
(-.f64 (+.f64 x 1) 1)
(/.f64 (-.f64 (*.f64 x x) 0) (-.f64 x 0))
(+.f64 (*.f64 -1/6 (*.f64 (*.f64 x x) x)) x)
(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x)))
(*.f64 (*.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2)))
(+.f64 (*.f64 -1/6 (-.f64 (+.f64 1 (*.f64 (*.f64 x x) x)) 1)) x)
(log.f64 (/.f64 -1/2 x))
(log.f64 (*.f64 x 2))
(log.f64 (/.f64 -1/2 x))
(log1p.f64 (-.f64 (/.f64 -1/2 x) 1))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(log.f64 (+.f64 x (-.f64 x (/.f64 -1/2 x))))
(log.f64 (+.f64 x (-.f64 (/.f64 -1/2 x) x)))
(-.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 1 x)) 1)
(+.f64 (*.f64 -1/6 (-.f64 (+.f64 1 (pow.f64 x 3)) 1)) x)
(*.f64 (+.f64 (/.f64 -1/4 (*.f64 x x)) (neg.f64 (log.f64 (/.f64 x -1/2)))) 1)
(*.f64 (+.f64 (/.f64 -1/4 (*.f64 x x)) (log.f64 (*.f64 (/.f64 -1 x) 1/2))) 1)
(*.f64 (+.f64 (/.f64 -1/4 (*.f64 x x)) (*.f64 1/3 (*.f64 3 (log.f64 (/.f64 -1/2 x))))) 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))))
(+.f64 1 (-.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1))
(-.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 1)
(log.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/2 x)))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (/.f64 (/.f64 -1/4 x) x)))
Outputs
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(+.f64 (*.f64 -1/6 (*.f64 (*.f64 x x) x)) x)
(log.f64 (+.f64 x (hypot.f64 1 x)))
Calls

3 calls:

68.0ms
x
19.0ms
(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))
13.0ms
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
Results
ErrorSegmentsBranch
0.1b3x
7.6b3(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
7.6b3(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))
Compiler

Compiled 280 to 194 computations (30.7% saved)

bsearch80.0ms (0.9%)

Algorithm
2×binary-search
Steps
TimeLeftRight
39.0ms
0.0008121028484948965
0.026087017611604327
40.0ms
-0.04236241595878873
-0.0004251712491688734
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes48.0ms (0.5%)

Counts
25 → 3
Calls
Call 1
Inputs
x
x
x
x
(+.f64 1 (+.f64 x -1))
(-.f64 (+.f64 x 1) 1)
(/.f64 (-.f64 (*.f64 x x) 0) (-.f64 x 0))
(+.f64 (*.f64 -1/6 (*.f64 (*.f64 x x) x)) x)
(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x)))
(*.f64 (*.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2)))
(+.f64 (*.f64 -1/6 (-.f64 (+.f64 1 (*.f64 (*.f64 x x) x)) 1)) x)
(log.f64 (/.f64 -1/2 x))
(log.f64 (*.f64 x 2))
(log.f64 (/.f64 -1/2 x))
(log1p.f64 (-.f64 (/.f64 -1/2 x) 1))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(log.f64 (+.f64 x (-.f64 x (/.f64 -1/2 x))))
(log.f64 (+.f64 x (-.f64 (/.f64 -1/2 x) x)))
(-.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 1 x)) 1)
(+.f64 (*.f64 -1/6 (-.f64 (+.f64 1 (pow.f64 x 3)) 1)) x)
(*.f64 (+.f64 (/.f64 -1/4 (*.f64 x x)) (neg.f64 (log.f64 (/.f64 x -1/2)))) 1)
(*.f64 (+.f64 (/.f64 -1/4 (*.f64 x x)) (log.f64 (*.f64 (/.f64 -1 x) 1/2))) 1)
(*.f64 (+.f64 (/.f64 -1/4 (*.f64 x x)) (*.f64 1/3 (*.f64 3 (log.f64 (/.f64 -1/2 x))))) 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)) (neg.f64 (log.f64 (/.f64 x -1/2)))) 1)
(+.f64 (*.f64 -1/6 (*.f64 (*.f64 x x) x)) x)
(log.f64 (+.f64 x (hypot.f64 1 x)))
Calls

1 calls:

37.0ms
x
Results
ErrorSegmentsBranch
0.5b3x
Compiler

Compiled 202 to 137 computations (32.2% saved)

bsearch46.0ms (0.5%)

Algorithm
2×binary-search
Steps
TimeLeftRight
22.0ms
0.0008121028484948965
0.026087017611604327
24.0ms
-3.636833679968109
-0.04236241595878873
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes42.0ms (0.5%)

Counts
24 → 3
Calls
Call 1
Inputs
x
x
x
x
(+.f64 1 (+.f64 x -1))
(-.f64 (+.f64 x 1) 1)
(/.f64 (-.f64 (*.f64 x x) 0) (-.f64 x 0))
(+.f64 (*.f64 -1/6 (*.f64 (*.f64 x x) x)) x)
(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x)))
(*.f64 (*.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2)))
(+.f64 (*.f64 -1/6 (-.f64 (+.f64 1 (*.f64 (*.f64 x x) x)) 1)) x)
(log.f64 (/.f64 -1/2 x))
(log.f64 (*.f64 x 2))
(log.f64 (/.f64 -1/2 x))
(log1p.f64 (-.f64 (/.f64 -1/2 x) 1))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(log.f64 (+.f64 x (-.f64 x (/.f64 -1/2 x))))
(log.f64 (+.f64 x (-.f64 (/.f64 -1/2 x) x)))
(-.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 1 x)) 1)
(+.f64 (*.f64 -1/6 (-.f64 (+.f64 1 (pow.f64 x 3)) 1)) x)
(*.f64 (+.f64 (/.f64 -1/4 (*.f64 x x)) (neg.f64 (log.f64 (/.f64 x -1/2)))) 1)
(*.f64 (+.f64 (/.f64 -1/4 (*.f64 x x)) (log.f64 (*.f64 (/.f64 -1 x) 1/2))) 1)
(*.f64 (+.f64 (/.f64 -1/4 (*.f64 x x)) (*.f64 1/3 (*.f64 3 (log.f64 (/.f64 -1/2 x))))) 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)) (neg.f64 (log.f64 (/.f64 x -1/2)))) 1)
(+.f64 (*.f64 -1/6 (*.f64 (*.f64 x x) x)) x)
(log.f64 (+.f64 x (-.f64 x (/.f64 -1/2 x))))
Calls

1 calls:

36.0ms
x
Results
ErrorSegmentsBranch
0.9b3x
Compiler

Compiled 196 to 133 computations (32.1% saved)

bsearch46.0ms (0.5%)

Algorithm
2×binary-search
Steps
TimeLeftRight
23.0ms
0.026087017611604327
1.5948041871932983
22.0ms
-3.636833679968109
-0.04236241595878873
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes63.0ms (0.7%)

Counts
20 → 3
Calls
Call 1
Inputs
x
x
x
x
(+.f64 1 (+.f64 x -1))
(-.f64 (+.f64 x 1) 1)
(/.f64 (-.f64 (*.f64 x x) 0) (-.f64 x 0))
(+.f64 (*.f64 -1/6 (*.f64 (*.f64 x x) x)) x)
(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x)))
(*.f64 (*.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2)))
(+.f64 (*.f64 -1/6 (-.f64 (+.f64 1 (*.f64 (*.f64 x x) x)) 1)) x)
(log.f64 (/.f64 -1/2 x))
(log.f64 (*.f64 x 2))
(log.f64 (/.f64 -1/2 x))
(log1p.f64 (-.f64 (/.f64 -1/2 x) 1))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(log.f64 (+.f64 x (-.f64 x (/.f64 -1/2 x))))
(log.f64 (+.f64 x (-.f64 (/.f64 -1/2 x) x)))
(-.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 1 x)) 1)
(+.f64 (*.f64 -1/6 (-.f64 (+.f64 1 (pow.f64 x 3)) 1)) x)
Outputs
(log.f64 (/.f64 -1/2 x))
(+.f64 (*.f64 -1/6 (*.f64 (*.f64 x x) x)) x)
(log.f64 (+.f64 x (-.f64 x (/.f64 -1/2 x))))
Calls

1 calls:

58.0ms
x
Results
ErrorSegmentsBranch
1.2b3x
Compiler

Compiled 133 to 90 computations (32.3% saved)

bsearch47.0ms (0.5%)

Algorithm
2×binary-search
Steps
TimeLeftRight
24.0ms
0.026087017611604327
1.5948041871932983
22.0ms
-3.636833679968109
-0.04236241595878873
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes29.0ms (0.3%)

Counts
16 → 3
Calls
Call 1
Inputs
x
x
x
x
(+.f64 1 (+.f64 x -1))
(-.f64 (+.f64 x 1) 1)
(/.f64 (-.f64 (*.f64 x x) 0) (-.f64 x 0))
(+.f64 (*.f64 -1/6 (*.f64 (*.f64 x x) x)) x)
(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x)))
(*.f64 (*.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2)))
(+.f64 (*.f64 -1/6 (-.f64 (+.f64 1 (*.f64 (*.f64 x x) x)) 1)) x)
(log.f64 (/.f64 -1/2 x))
(log.f64 (*.f64 x 2))
(log.f64 (/.f64 -1/2 x))
(log1p.f64 (-.f64 (/.f64 -1/2 x) 1))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
Outputs
(log.f64 (/.f64 -1/2 x))
(+.f64 (*.f64 -1/6 (*.f64 (*.f64 x x) x)) x)
(log.f64 (*.f64 x 2))
Calls

1 calls:

25.0ms
x
Results
ErrorSegmentsBranch
1.2b3x
Compiler

Compiled 95 to 62 computations (34.7% saved)

bsearch49.0ms (0.5%)

Algorithm
2×binary-search
Steps
TimeLeftRight
25.0ms
0.026087017611604327
1.5948041871932983
24.0ms
-3.636833679968109
-0.04236241595878873
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes18.0ms (0.2%)

Counts
12 → 2
Calls
Call 1
Inputs
x
x
x
x
(+.f64 1 (+.f64 x -1))
(-.f64 (+.f64 x 1) 1)
(/.f64 (-.f64 (*.f64 x x) 0) (-.f64 x 0))
(+.f64 (*.f64 -1/6 (*.f64 (*.f64 x x) x)) x)
(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x)))
(*.f64 (*.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2)))
(+.f64 (*.f64 -1/6 (-.f64 (+.f64 1 (*.f64 (*.f64 x x) x)) 1)) x)
(log.f64 (/.f64 -1/2 x))
Outputs
(log.f64 (/.f64 -1/2 x))
x
Calls

1 calls:

15.0ms
x
Results
ErrorSegmentsBranch
16.9b2x
Compiler

Compiled 74 to 46 computations (37.8% saved)

bsearch26.0ms (0.3%)

Algorithm
1×binary-search
Steps
TimeLeftRight
26.0ms
-3.636833679968109
-0.04236241595878873
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes9.0ms (0.1%)

Accuracy

Total -30.5b remaining (-100%)

Threshold costs -30.5b (-100%)

Counts
11 → 1
Calls
Call 1
Inputs
x
x
x
x
(+.f64 1 (+.f64 x -1))
(-.f64 (+.f64 x 1) 1)
(/.f64 (-.f64 (*.f64 x x) 0) (-.f64 x 0))
(+.f64 (*.f64 -1/6 (*.f64 (*.f64 x x) x)) x)
(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x)))
(*.f64 (*.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2)))
(+.f64 (*.f64 -1/6 (-.f64 (+.f64 1 (*.f64 (*.f64 x x) x)) 1)) x)
Outputs
x
Calls

1 calls:

6.0ms
x
Results
ErrorSegmentsBranch
30.4b1x
Compiler

Compiled 70 to 43 computations (38.6% saved)

simplify47.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
12×+-commutative_binary64
10×*-commutative_binary64
6×sub-neg_binary64
4×neg-sub0_binary64
4×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
059291
184291
297291
3103291
4105291
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 x -781448645535804928/18446744073709551616) (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (if (<=.f64 x 14980653407715878/18446744073709551616) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) x)) (log.f64 (+.f64 x (hypot.f64 1 x)))))
(if (<=.f64 x -781448645535804928/18446744073709551616) (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (if (<=.f64 x 14980653407715878/18446744073709551616) (+.f64 (*.f64 -1/6 (*.f64 (*.f64 x x) x)) x) (log.f64 (+.f64 x (hypot.f64 1 x)))))
(if (<=.f64 x -8189421402956423/2251799813685248) (*.f64 (+.f64 (/.f64 -1/4 (*.f64 x x)) (neg.f64 (log.f64 (/.f64 x -1/2)))) 1) (if (<=.f64 x 14980653407715878/18446744073709551616) (+.f64 (*.f64 -1/6 (*.f64 (*.f64 x x) x)) x) (log.f64 (+.f64 x (hypot.f64 1 x)))))
(if (<=.f64 x -8189421402956423/2251799813685248) (*.f64 (+.f64 (/.f64 -1/4 (*.f64 x x)) (neg.f64 (log.f64 (/.f64 x -1/2)))) 1) (if (<=.f64 x 481220537527618816/18446744073709551616) (+.f64 (*.f64 -1/6 (*.f64 (*.f64 x x) x)) x) (log.f64 (+.f64 x (-.f64 x (/.f64 -1/2 x))))))
(if (<=.f64 x -8189421402956423/2251799813685248) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 481220537527618816/18446744073709551616) (+.f64 (*.f64 -1/6 (*.f64 (*.f64 x x) x)) x) (log.f64 (+.f64 x (-.f64 x (/.f64 -1/2 x))))))
(if (<=.f64 x -8189421402956423/2251799813685248) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 481220537527618816/18446744073709551616) (+.f64 (*.f64 -1/6 (*.f64 (*.f64 x x) x)) x) (log.f64 (*.f64 x 2))))
(if (<=.f64 x -8189421402956423/2251799813685248) (log.f64 (/.f64 -1/2 x)) x)
x
Outputs
(if (<=.f64 x -781448645535804928/18446744073709551616) (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (if (<=.f64 x 14980653407715878/18446744073709551616) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) x)) (log.f64 (+.f64 x (hypot.f64 1 x)))))
(if (<=.f64 x -1526266885812119/36028797018963968) (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (if (<=.f64 x 7490326703857939/9223372036854775808) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 x (*.f64 3/40 (pow.f64 x 5)))) (log.f64 (+.f64 x (hypot.f64 1 x)))))
(if (<=.f64 x -781448645535804928/18446744073709551616) (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (if (<=.f64 x 14980653407715878/18446744073709551616) (+.f64 (*.f64 -1/6 (*.f64 (*.f64 x x) x)) x) (log.f64 (+.f64 x (hypot.f64 1 x)))))
(if (<=.f64 x -1526266885812119/36028797018963968) (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (if (<=.f64 x 7490326703857939/9223372036854775808) (+.f64 x (*.f64 -1/6 (*.f64 x (*.f64 x x)))) (log.f64 (+.f64 x (hypot.f64 1 x)))))
(if (<=.f64 x -8189421402956423/2251799813685248) (*.f64 (+.f64 (/.f64 -1/4 (*.f64 x x)) (neg.f64 (log.f64 (/.f64 x -1/2)))) 1) (if (<=.f64 x 14980653407715878/18446744073709551616) (+.f64 (*.f64 -1/6 (*.f64 (*.f64 x x) x)) x) (log.f64 (+.f64 x (hypot.f64 1 x)))))
(if (<=.f64 x -8189421402956423/2251799813685248) (-.f64 (/.f64 -1/4 (*.f64 x x)) (log.f64 (/.f64 x -1/2))) (if (<=.f64 x 7490326703857939/9223372036854775808) (+.f64 x (*.f64 -1/6 (*.f64 x (*.f64 x x)))) (log.f64 (+.f64 x (hypot.f64 1 x)))))
(if (<=.f64 x -8189421402956423/2251799813685248) (*.f64 (+.f64 (/.f64 -1/4 (*.f64 x x)) (neg.f64 (log.f64 (/.f64 x -1/2)))) 1) (if (<=.f64 x 481220537527618816/18446744073709551616) (+.f64 (*.f64 -1/6 (*.f64 (*.f64 x x) x)) x) (log.f64 (+.f64 x (-.f64 x (/.f64 -1/2 x))))))
(if (<=.f64 x -8189421402956423/2251799813685248) (-.f64 (/.f64 -1/4 (*.f64 x x)) (log.f64 (/.f64 x -1/2))) (if (<=.f64 x 1879767724717261/72057594037927936) (+.f64 x (*.f64 -1/6 (*.f64 x (*.f64 x x)))) (log.f64 (+.f64 x (-.f64 x (/.f64 -1/2 x))))))
(if (<=.f64 x -8189421402956423/2251799813685248) (-.f64 (/.f64 -1/4 (*.f64 x x)) (log.f64 (/.f64 x -1/2))) (if (<=.f64 x 1879767724717261/72057594037927936) (+.f64 x (*.f64 -1/6 (*.f64 x (*.f64 x x)))) (log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))))))
(if (<=.f64 x -8189421402956423/2251799813685248) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 481220537527618816/18446744073709551616) (+.f64 (*.f64 -1/6 (*.f64 (*.f64 x x) x)) x) (log.f64 (+.f64 x (-.f64 x (/.f64 -1/2 x))))))
(if (<=.f64 x -8189421402956423/2251799813685248) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 1879767724717261/72057594037927936) (+.f64 x (*.f64 -1/6 (*.f64 x (*.f64 x x)))) (log.f64 (+.f64 x (-.f64 x (/.f64 -1/2 x))))))
(if (<=.f64 x -8189421402956423/2251799813685248) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 1879767724717261/72057594037927936) (+.f64 x (*.f64 -1/6 (*.f64 x (*.f64 x x)))) (log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))))))
(if (<=.f64 x -8189421402956423/2251799813685248) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 481220537527618816/18446744073709551616) (+.f64 (*.f64 -1/6 (*.f64 (*.f64 x x) x)) x) (log.f64 (*.f64 x 2))))
(if (<=.f64 x -8189421402956423/2251799813685248) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 1879767724717261/72057594037927936) (+.f64 x (*.f64 -1/6 (*.f64 x (*.f64 x x)))) (log.f64 (*.f64 x 2))))
(if (<=.f64 x -8189421402956423/2251799813685248) (log.f64 (/.f64 -1/2 x)) x)
x
Compiler

Compiled 204 to 138 computations (32.4% saved)

soundness30.0ms (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)

end136.0ms (1.5%)

Compiler

Compiled 197 to 123 computations (37.6% saved)

Profiling

Loading profile data...