Details

Time bar (total: 9.8s)

analyze111.0ms (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)

sample3.5s (36.1%)

Results
1.7s2587×body1024valid
776.0ms1231×body2048valid
527.0ms3069×body256valid
513.0ms1311×body512valid
45.0ms58×body4096valid

preprocess43.0ms (0.4%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0812
1139
2149
011
Stop Event
1×saturated
1×saturated
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
Outputs
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x 1))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify7.0ms (0.1%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
0812
1139
2149
Stop Event
1×saturated
Counts
1 → 2
Calls
Call 1
Inputs
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
Outputs
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x 1))))
(log.f64 (+.f64 x (hypot.f64 1 x)))

eval1.0ms (0%)

Compiler

Compiled 16 to 11 computations (31.3% saved)

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New112
Fresh101
Picked000
Done000
Total213
Error
46.3b
Counts
3 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
▶46.3b
(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)
✓0.7b
(+.f64 x (hypot.f64 1 x))
✓2.1b
(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))

rewrite79.0ms (0.8%)

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))))

eval45.0ms (0.5%)

Compiler

Compiled 1814 to 1362 computations (24.9% saved)

prune65.0ms (0.7%)

Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New12710137
Fresh000
Picked011
Done000
Total12711138
Error
0.0b
Counts
138 → 11
Alt Table
Click to see full alt table
StatusErrorProgram
✓46.3b
(log.f64 (+.f64 x (hypot.f64 1 x)))
▶46.3b
(log.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/2 x)))
46.4b
(-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
▶49.4b
(log.f64 (+.f64 x (-.f64 x (/.f64 -1/2 x))))
▶46.4b
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (/.f64 (/.f64 -1/4 x) x)))
▶31.1b
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
46.6b
(log.f64 (/.f64 -1/2 x))
59.1b
(log.f64 (/.f64 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x)) (-.f64 (hypot.f64 1 x) x)))
29.9b
x
▶50.1b
(log.f64 (*.f64 x 2))
63.4b
(log.f64 (+.f64 x (-.f64 (/.f64 -1/2 x) x)))
Compiler

Compiled 187 to 136 computations (27.3% saved)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiled 19 to 14 computations (26.3% saved)

series3.0ms (0%)

Counts
2 → 3
Calls

6 calls:

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

rewrite66.0ms (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
0715
115915
2191315
Stop Event
1×node limit
Counts
2 → 46
Calls
Call 1
Inputs
(*.f64 -1/6 (pow.f64 x 3))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) 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 (sqrt.f64 -1/6) (pow.f64 x 3/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/216) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.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 (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/216))))) (#(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 (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)))))))

simplify162.0ms (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
49 → 48
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))

localize5.0ms (0.1%)

Compiler

Compiled 10 to 7 computations (30% saved)

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

Compiled 26 to 16 computations (38.5% saved)

series5.0ms (0%)

Counts
3 → 36
Calls

9 calls:

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

rewrite92.0ms (0.9%)

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

Useful iterations: 2 (0.0ms)

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

simplify87.0ms (0.9%)

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

Useful iterations: 3 (0.0ms)

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

localize16.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/2 x))
✓0.4b
(/.f64 1/8 (pow.f64 x 3))
✓11.6b
(log.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/2 x)))
Compiler

Compiled 35 to 27 computations (22.9% saved)

series4.0ms (0%)

Counts
3 → 24
Calls

9 calls:

TimeVariablePointExpression
1.0ms
x
@0
(log.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/2 x)))
1.0ms
x
@inf
(log.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/2 x)))
0.0ms
x
@0
(/.f64 1/8 (pow.f64 x 3))
0.0ms
x
@-inf
(log.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/2 x)))
0.0ms
x
@inf
(/.f64 1/8 (pow.f64 x 3))

rewrite82.0ms (0.8%)

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

Useful iterations: 1 (0.0ms)

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

simplify60.0ms (0.6%)

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

Useful iterations: 2 (0.0ms)

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

localize22.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

series69.0ms (0.7%)

Counts
4 → 44
Calls

12 calls:

TimeVariablePointExpression
24.0ms
x
@0
(log.f64 (/.f64 -1 x))
11.0ms
x
@inf
(/.f64 (/.f64 -1/4 x) x)
9.0ms
x
@inf
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (/.f64 (/.f64 -1/4 x) x)))
8.0ms
x
@-inf
(log.f64 (/.f64 -1 x))
6.0ms
x
@0
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (/.f64 (/.f64 -1/4 x) x)))

rewrite110.0ms (1.1%)

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)))
(+.f64 (log.f64 1/2) (/.f64 (/.f64 -1/4 x) x))
(log.f64 (/.f64 -1 x))
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 (exp.f64 (/.f64 -1/4 (*.f64 x x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 -1/4 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1/4 (*.f64 x x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1/4 (*.f64 x x))))))))) (#(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 (/.f64 1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/4 (pow.f64 (/.f64 1 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/4 (/.f64 (/.f64 1 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/4 x) (/.f64 1 x))))) (#(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 (cbrt.f64 (/.f64 -1/4 (*.f64 x x))) (cbrt.f64 (/.f64 1/16 (pow.f64 (*.f64 x x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/16 (pow.f64 (*.f64 x x) 2))) (cbrt.f64 (/.f64 -1/4 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 -1/4 x)) 2) (*.f64 (cbrt.f64 (/.f64 -1/4 x)) (/.f64 1 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 (sqrt.f64 (/.f64 -1/4 x)) (*.f64 (sqrt.f64 (/.f64 -1/4 x)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/4 x) (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (/.f64 -1/4 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 -1/4 x)) 2) 1) (/.f64 (cbrt.f64 (/.f64 -1/4 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 -1/4 x)) 1) (/.f64 (sqrt.f64 (/.f64 -1/4 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/4 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 1 x) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 -1/4 x) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 -1/4 x)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 -1/4 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 -1/4 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (/.f64 -1/4 x)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/4 (sqrt.f64 x)) (/.f64 (/.f64 1 x) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (/.f64 -1/4 x) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 -1/4 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (/.f64 -1/4 x)) (sqrt.f64 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 (*.f64 x x) 2)) 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 (*.f64 x x) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (/.f64 -1/4 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 x x) -1/4) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 x (/.f64 -1/4 x)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 -1/4 x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1/16 (pow.f64 (*.f64 x x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 -1/4 (*.f64 x x))))))) (#(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 (*.f64 x x) 3)))))) (#(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 (log1p.f64 -2) (-.f64 (log.f64 x) (+.f64 (/.f64 -1/4 (*.f64 x x)) (log.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 -1/4 (*.f64 x x)) (log.f64 (*.f64 (/.f64 -1 x) 1/2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 2) (-.f64 (log.f64 (/.f64 (/.f64 -1 x) 1/2)) (/.f64 -1/4 (*.f64 x x)))) (/.f64 (pow.f64 (+.f64 (/.f64 -1/4 (*.f64 x x)) (log.f64 1/2)) 2) (-.f64 (log.f64 (/.f64 (/.f64 -1 x) 1/2)) (/.f64 -1/4 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (+.f64 (/.f64 -1/4 (*.f64 x x)) (log.f64 1/2)) (log1p.f64 -2)) (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 -1/4 (*.f64 x x)) (log.f64 (*.f64 (/.f64 -1 x) 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 -1/4 (*.f64 x x)) (log.f64 (*.f64 (/.f64 -1 x) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 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simplify61.0ms (0.6%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
032538
171462
2145462
3332462
4898462
52734462
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 -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))))
(+.f64 (log.f64 -1) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 -1) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 -1) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 -1) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 (/.f64 1 x)) (log.f64 -1))
(+.f64 (log.f64 (/.f64 1 x)) (log.f64 -1))
(+.f64 (log.f64 (/.f64 1 x)) (log.f64 -1))
(+.f64 (log.f64 (/.f64 1 x)) (log.f64 -1))
Outputs
(/.f64 -1/4 (pow.f64 x 2))
(/.f64 -1/4 (*.f64 x x))
(/.f64 -1/4 (pow.f64 x 2))
(/.f64 -1/4 (*.f64 x x))
(/.f64 -1/4 (pow.f64 x 2))
(/.f64 -1/4 (*.f64 x x))
(/.f64 -1/4 (pow.f64 x 2))
(/.f64 -1/4 (*.f64 x x))
(/.f64 -1/4 (pow.f64 x 2))
(/.f64 -1/4 (*.f64 x x))
(/.f64 -1/4 (pow.f64 x 2))
(/.f64 -1/4 (*.f64 x x))
(/.f64 -1/4 (pow.f64 x 2))
(/.f64 -1/4 (*.f64 x x))
(/.f64 -1/4 (pow.f64 x 2))
(/.f64 -1/4 (*.f64 x x))
(/.f64 -1/4 (pow.f64 x 2))
(/.f64 -1/4 (*.f64 x x))
(/.f64 -1/4 (pow.f64 x 2))
(/.f64 -1/4 (*.f64 x x))
(/.f64 -1/4 (pow.f64 x 2))
(/.f64 -1/4 (*.f64 x x))
(/.f64 -1/4 (pow.f64 x 2))
(/.f64 -1/4 (*.f64 x x))
(/.f64 -1/4 (pow.f64 x 2))
(/.f64 -1/4 (*.f64 x x))
(-.f64 (+.f64 (log.f64 1/2) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 x)))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 1/2) (-.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 x))) (/.f64 1/4 (*.f64 x x))))
(+.f64 (log.f64 1/2) (+.f64 (log.f64 (/.f64 -1 x)) (/.f64 -1/4 (*.f64 x x))))
(+.f64 (log.f64 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 -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)))
(+.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))

eval458.0ms (4.7%)

Compiler

Compiled 14086 to 10538 computations (25.2% saved)

prune118.0ms (1.2%)

Pruning

12 alts after pruning (8 fresh and 4 done)

PrunedKeptTotal
New7884792
Fresh145
Picked101
Done145
Total79112803
Error
0.0b
Counts
803 → 12
Alt Table
Click to see full alt table
StatusErrorProgram
▶46.4b
(-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
✓49.4b
(log.f64 (+.f64 x (-.f64 x (/.f64 -1/2 x))))
▶46.6b
(log.f64 (/.f64 -1/2 x))
▶46.4b
(*.f64 (+.f64 (/.f64 -1/4 (*.f64 x x)) (log.f64 (*.f64 (/.f64 -1 x) 1/2))) 1)
✓46.3b
(log.f64 (+.f64 x (hypot.f64 1 x)))
59.1b
(log.f64 (/.f64 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x)) (-.f64 (hypot.f64 1 x) x)))
46.4b
(+.f64 (log.f64 1/2) (-.f64 (log.f64 (/.f64 -1 x)) (/.f64 1/4 (*.f64 x x))))
✓31.1b
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
29.9b
x
✓50.1b
(log.f64 (*.f64 x 2))
▶63.4b
(log.f64 (+.f64 x (-.f64 (/.f64 -1/2 x) x)))
▶31.3b
(+.f64 (-.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 3))) 1) x)
Compiler

Compiled 197 to 146 computations (25.9% saved)

localize18.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (-.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 3))) 1) x)
0.1b
(*.f64 -1/6 (pow.f64 x 3))
✓1.7b
(-.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 3))) 1)
Compiler

Compiled 40 to 33 computations (17.5% saved)

series3.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite81.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
690×fma-def_binary64
412×log-prod_binary64
352×fma-neg_binary64
281×pow-prod-down_binary64
254×pow2_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01029
123517
2323415
Stop Event
1×node limit
Counts
2 → 187
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 3))) 1)
(+.f64 (-.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 3))) 1) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (fma.f64 -1/6 (pow.f64 x 3) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (fma.f64 -1/6 (pow.f64 x 3) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1/6 (pow.f64 x 3)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 -1/6 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (fma.f64 -1/6 (pow.f64 x 3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 -1/6 (pow.f64 x 3) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/6) (pow.f64 x 3))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/6) (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/6) (pow.f64 x 3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/6) (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 -1/6 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egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 1) 1))))) (#(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 (fma.f64 -1/6 (pow.f64 x 3) 1) (neg.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 -1/6 (pow.f64 x 3) 1) (+.f64 -1 x))))) (#(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 1 (*.f64 -1/6 (pow.f64 x 3)) (-.f64 1 (-.f64 1 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 -1/6 (pow.f64 x 3) (-.f64 1 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (*.f64 -1/6 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 (*.f64 x x) -1/6) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 (*.f64 x x) -1/6) (-.f64 1 (-.f64 1 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 (pow.f64 x 3) -1/6 (-.f64 1 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 1 (neg.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 1 (+.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/6 (pow.f64 x 3)) 1 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/6 (pow.f64 x 3)) 1 (-.f64 1 (-.f64 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 x) (*.f64 x -1/6) (-.f64 1 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) 1)) (cbrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2)) (neg.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) 1)) (cbrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2)) (+.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2)) (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) 1)) (neg.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2)) (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) 1)) (+.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2)) (*.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) 1)) 1) (neg.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2)) (*.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) 1)) 1) (+.f64 -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 (*.f64 x (cbrt.f64 -1/6)) (pow.f64 (*.f64 x (cbrt.f64 -1/6)) 2) (-.f64 1 (-.f64 1 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 (*.f64 x (cbrt.f64 -1/6)) 2) (*.f64 x (cbrt.f64 -1/6)) (-.f64 1 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 -1/6 (pow.f64 x 3)))))) (#(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 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) 1)) (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) 1)) (neg.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) 1)) (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) 1)) (+.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) 1)) (*.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) 1)) 1) (neg.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) 1)) (*.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) 1)) 1) (+.f64 -1 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 (*.f64 (sqrt.f64 -1/6) (pow.f64 x 3/2)) (*.f64 (sqrt.f64 -1/6) (pow.f64 x 3/2)) (-.f64 1 (-.f64 1 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 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) (fma.f64 -1/6 (pow.f64 x 3) 2))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) (fma.f64 -1/6 (pow.f64 x 3) 2))) (-.f64 1 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 (pow.f64 x 9) -1/216 1) (/.f64 1 (+.f64 1 (fma.f64 (pow.f64 x 6) 1/36 (*.f64 1/6 (pow.f64 x 3))))) (neg.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 (pow.f64 x 9) -1/216 1) (/.f64 1 (+.f64 1 (fma.f64 (pow.f64 x 6) 1/36 (*.f64 1/6 (pow.f64 x 3))))) (+.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) -1) (/.f64 1 (fma.f64 -1/6 (pow.f64 x 3) 2)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) -1) (/.f64 1 (fma.f64 -1/6 (pow.f64 x 3) 2)) (-.f64 1 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (*.f64 (pow.f64 x 6) 1/36)) (/.f64 1 (+.f64 1 (*.f64 1/6 (pow.f64 x 3)))) (neg.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (*.f64 (pow.f64 x 6) 1/36)) (/.f64 1 (+.f64 1 (*.f64 1/6 (pow.f64 x 3)))) (+.f64 -1 x))))) (#(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 (pow.f64 x 3/2) (*.f64 (pow.f64 x 3/2) -1/6) (-.f64 1 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) 1)) 1) (-.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) 1)) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) 1)) 1) (-.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) 1)) 1) (-.f64 1 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/6 x) (*.f64 x x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/6 x) (*.f64 x x) (-.f64 1 (-.f64 1 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 (*.f64 x x)) x (-.f64 1 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/6 (pow.f64 x 3/2)) (pow.f64 x 3/2) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/6 (pow.f64 x 3/2)) (pow.f64 x 3/2) (-.f64 1 (-.f64 1 x)))))))

simplify181.0ms (1.9%)

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
07171
118171
236171
374171
4142171
5373171
61282171
71990171
82077171
92210171
102368171
112609171
122931171
133354171
143857171
154459171
165179171
175502171
185786171
196008171
206190171
216272171
227212171
Stop Event
1×node limit
Counts
211 → 189
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))
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))
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)

localize7.0ms (0.1%)

Compiler

Compiled 10 to 7 computations (30% saved)

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 (/.f64 -1/2 x) x)
✓1.4b
(+.f64 x (-.f64 (/.f64 -1/2 x) x))
Compiler

Compiled 26 to 16 computations (38.5% saved)

series3.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite74.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
909×pow1_binary64
857×add-log-exp_binary64
856×log1p-expm1-u_binary64
856×expm1-log1p-u_binary64
841×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0617
114917
2228317
Stop Event
1×node limit
Counts
2 → 73
Calls
Call 1
Inputs
(+.f64 x (-.f64 (/.f64 -1/2 x) 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 (+.f64 1 (+.f64 x (-.f64 (/.f64 -1/2 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 x (-.f64 (/.f64 -1/2 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x (-.f64 (/.f64 -1/2 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x (-.f64 (/.f64 -1/2 x) x))) (pow.f64 (cbrt.f64 (+.f64 x (-.f64 (/.f64 -1/2 x) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x (-.f64 (/.f64 -1/2 x) x))) 2) (cbrt.f64 (+.f64 x (-.f64 (/.f64 -1/2 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x (-.f64 (/.f64 -1/2 x) x))) (sqrt.f64 (+.f64 x (-.f64 (/.f64 -1/2 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 x (-.f64 (/.f64 -1/2 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x (-.f64 (/.f64 -1/2 x) x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x (-.f64 (/.f64 -1/2 x) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x (-.f64 (/.f64 -1/2 x) x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x (-.f64 (/.f64 -1/2 x) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 x (-.f64 (/.f64 -1/2 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x (-.f64 (/.f64 -1/2 x) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x (-.f64 (/.f64 -1/2 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x (-.f64 (/.f64 -1/2 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 x (-.f64 (/.f64 -1/2 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 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))))))

simplify30.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
61×fma-neg_binary64
36×associate-/l*_binary64
28×associate-/r*_binary64
27×fma-def_binary64
23×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
011139
124130
240121
368121
4124121
5176121
6265121
7333121
8409121
9430121
10448121
Stop Event
1×saturated
Counts
97 → 78
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)))
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)

localize23.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 (/.f64 -1 x) 1/2)
✓0.5b
(/.f64 -1/4 (*.f64 x x))
Compiler

Compiled 54 to 37 computations (31.5% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite64.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
844×pow1_binary64
787×add-log-exp_binary64
787×log1p-expm1-u_binary64
787×expm1-log1p-u_binary64
772×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0911
119311
2223711
Stop Event
1×node limit
Counts
2 → 38
Calls
Call 1
Inputs
(/.f64 -1/4 (*.f64 x x))
(*.f64 (/.f64 -1 x) 1/2)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.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 (pow.f64 (/.f64 -1/4 (*.f64 x x)) 3) 1/3)))) (#(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 (*.f64 x x) -4) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1/16 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -1/4) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 -1/4 (*.f64 x x)) 3))))) (#(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 -.f64 (+.f64 1 (/.f64 -1/2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (*.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1/2 x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -1/2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -1/2 (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1/2 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 -1/2 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 -1/2 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 -1/2 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1/4 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 -1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 -1/2 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 -1/2 x)))))))

simplify168.0ms (1.7%)

Algorithm
1×egg-herbie
Rules
1082×sqr-pow_binary64
560×cube-prod_binary64
553×fabs-mul_binary64
523×pow-sqr_binary64
434×unswap-sqr_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08132
113132
222132
339132
483132
5241132
6903132
72198132
82364132
92548132
102756132
113053132
123444132
133929132
144497132
155183132
166018132
176412132
186700132
196974132
207046132
217082132
Stop Event
1×node limit
Counts
62 → 40
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 -1/2 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)
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 -1/2 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)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(hypot.f64 1 x)
0.7b
(+.f64 x (hypot.f64 1 x))
2.1b
(log.f64 (+.f64 x (hypot.f64 1 x)))
✓2.1b
(-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
Compiler

Compiled 35 to 25 computations (28.6% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite62.0ms (0.6%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
0815
11839
226859
Stop Event
1×node limit
Counts
1 → 41
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1) (/.f64 1 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1) (-.f64 (sqrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)) (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2) (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3) -1) (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3) -1) (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (-.f64 1 (*.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1) (-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1)) (neg.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1)) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1))) (-.f64 1 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 x (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (-.f64 (+.f64 x (hypot.f64 1 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (+.f64 x (hypot.f64 1 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2) (cbrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) -1)))))

simplify52.0ms (0.5%)

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

Useful iterations: 1 (0.0ms)

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

eval921.0ms (9.4%)

Compiler

Compiled 8195 to 6334 computations (22.7% saved)

prune79.0ms (0.8%)

Pruning

17 alts after pruning (11 fresh and 6 done)

PrunedKeptTotal
New5108518
Fresh033
Picked101
Done268
Total51317530
Error
0.0b
Counts
530 → 17
Alt Table
Click to see full alt table
StatusErrorProgram
46.3b
(/.f64 (-.f64 1 (*.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1))) (-.f64 1 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1)))
✓49.4b
(log.f64 (+.f64 x (-.f64 x (/.f64 -1/2 x))))
▶46.4b
(+.f64 (log.f64 1/2) (-.f64 (log.f64 (/.f64 -1 x)) (/.f64 1/4 (*.f64 x x))))
46.4b
(/.f64 (+.f64 1 (pow.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1)) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1))))
▶46.4b
(/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))
✓50.1b
(log.f64 (*.f64 x 2))
✓46.6b
(log.f64 (/.f64 -1/2 x))
▶46.4b
(*.f64 (+.f64 (/.f64 -1/4 (*.f64 x x)) (log.f64 (/.f64 -1/2 x))) 1)
▶31.1b
(+.f64 (*.f64 (*.f64 x x) (*.f64 x -1/6)) x)
▶59.1b
(-.f64 (+.f64 1 x) 1)
✓63.4b
(log.f64 (+.f64 x (-.f64 (/.f64 -1/2 x) x)))
60.5b
(-.f64 (+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)) 1)
✓31.3b
(+.f64 (-.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 3))) 1) x)
✓46.3b
(log.f64 (+.f64 x (hypot.f64 1 x)))
59.1b
(log.f64 (/.f64 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x)) (-.f64 (hypot.f64 1 x) x)))
29.9b
x
46.3b
(+.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1) 1)
Compiler

Compiled 405 to 312 computations (23% saved)

localize45.0ms (0.5%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (*.f64 (*.f64 x x) (*.f64 x -1/6)) x)
✓0.1b
(*.f64 (*.f64 x x) (*.f64 x -1/6))
✓0.4b
(*.f64 x -1/6)
Compiler

Compiled 25 to 12 computations (52% saved)

series3.0ms (0%)

Counts
3 → 36
Calls

9 calls:

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

rewrite75.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
793×pow1_binary64
743×add-log-exp_binary64
743×log1p-expm1-u_binary64
743×expm1-log1p-u_binary64
726×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0725
115519
2211719
Stop Event
1×node limit
Counts
3 → 59
Calls
Call 1
Inputs
(*.f64 x -1/6)
(*.f64 (*.f64 x x) (*.f64 x -1/6))
(+.f64 (*.f64 (*.f64 x x) (*.f64 x -1/6)) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x -1/6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x -1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x -1/6) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x -1/6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x -1/6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x -1/6) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -1/6) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x -1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x -1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x -1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x -1/6)))))))
((#(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 x (sqrt.f64 (*.f64 x -1/6))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/216) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 1/36))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/216))))) (#(struct:change #<rule egg-rr> (2) ((x 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 (fma.f64 (pow.f64 x 3) -1/6 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 1/36) (fma.f64 (pow.f64 x 3) -1/6 (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 (pow.f64 x 3) -1/6 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 x 3) -1/6 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (pow.f64 x 3) -1/6 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (pow.f64 x 3) -1/6 x)) (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x 3) -1/6 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x 3) -1/6 x)) 2) (cbrt.f64 (fma.f64 (pow.f64 x 3) -1/6 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (pow.f64 x 3) -1/6 x)) (sqrt.f64 (fma.f64 (pow.f64 x 3) -1/6 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 (*.f64 x x) 3) 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 (*.f64 x x) 3) 1/36) (*.f64 x x)) (/.f64 1 (fma.f64 (pow.f64 x 3) -1/6 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 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 (fma.f64 (pow.f64 x 3) -1/6 (neg.f64 x)) (-.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 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 (*.f64 x x) 3) 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 (*.f64 x x) 3) 1/36) (*.f64 x (*.f64 -1/6 (pow.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 1/36) (*.f64 x x)) (fma.f64 (pow.f64 x 3) -1/6 (neg.f64 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 (*.f64 x x) 3) 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 (*.f64 x x) 3) 1/36) (*.f64 x x))) (neg.f64 (fma.f64 (pow.f64 x 3) -1/6 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 (pow.f64 (*.f64 x x) 3) 1/36)) (-.f64 x (*.f64 -1/6 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (pow.f64 x 3) -1/6 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (pow.f64 x 3) -1/6 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x 3) -1/6 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (pow.f64 x 3) -1/6 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (pow.f64 x 3) -1/6 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (pow.f64 x 3) -1/6 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 fma.f64 x (*.f64 x (*.f64 x -1/6)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x -1/6) (*.f64 x x) 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 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 x 3) -1/6 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 x (sqrt.f64 (*.f64 x -1/6))) (*.f64 x (sqrt.f64 (*.f64 x -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)))))))

simplify182.0ms (1.9%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
08219
120219
236219
373219
4141219
5356219
61277219
71986219
82073219
92206219
102364219
112605219
122927219
133348219
143848219
154448219
165168219
175489219
185775219
195997219
206175219
216257219
227197219
Stop Event
1×node limit
Counts
95 → 64
Calls
Call 1
Inputs
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.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
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.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)
(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)

localize4.0ms (0%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓2.1b
(-.f64 (+.f64 1 x) 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 1 x) 1)
0.0ms
x
@inf
(-.f64 (+.f64 1 x) 1)
0.0ms
x
@-inf
(-.f64 (+.f64 1 x) 1)

rewrite51.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
553×pow1_binary64
521×add-log-exp_binary64
521×log1p-expm1-u_binary64
521×expm1-log1p-u_binary64
513×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
057
11151
216631
Stop Event
1×node limit
Counts
1 → 37
Calls
Call 1
Inputs
(-.f64 (+.f64 1 x) 1)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (+.f64 x -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x 1)))) (#(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 (sqrt.f64 x) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 1 x) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 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 1 x)) 1) (-.f64 (sqrt.f64 (+.f64 1 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 x) 2) (+.f64 x 2)) (+.f64 (pow.f64 (+.f64 1 x) 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 1 x) 3) -1) (+.f64 (pow.f64 (+.f64 1 x) 2) (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 x) 3) -1) (+.f64 (pow.f64 (+.f64 1 x) 2) (-.f64 1 (*.f64 (+.f64 1 x) -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 1 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 x) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 1 x) 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 1 (pow.f64 (+.f64 x -1) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 x -1) (+.f64 x -1)) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (+.f64 x -1) (+.f64 x -1))) (-.f64 1 (+.f64 x -1)))))) (#(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 (+.f64 1 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (cbrt.f64 (+.f64 1 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x)) -1)))))

simplify9.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0112
Stop Event
1×saturated
Counts
49 → 38
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

localize18.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.5b
(/.f64 -1/4 (*.f64 x x))
Compiler

Compiled 42 to 26 computations (38.1% saved)

localize55.0ms (0.6%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(log.f64 (/.f64 -1 x))
✓0.1b
(+.f64 (log.f64 1/2) (-.f64 (log.f64 (/.f64 -1 x)) (/.f64 1/4 (*.f64 x x))))
✓0.5b
(/.f64 1/4 (*.f64 x x))
Compiler

Compiled 45 to 29 computations (35.6% saved)

series3.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite76.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
551×log-prod_binary64
423×fma-def_binary64
331×pow2_binary64
231×fma-neg_binary64
226×pow1/3_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01227
126822
2364322
Stop Event
1×node limit
Counts
2 → 95
Calls
Call 1
Inputs
(/.f64 1/4 (*.f64 x x))
(+.f64 (log.f64 1/2) (-.f64 (log.f64 (/.f64 -1 x)) (/.f64 1/4 (*.f64 x x))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 1/4 (pow.f64 x -2)))))) (#(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 (pow.f64 x -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/4 (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 1/4 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2) (cbrt.f64 (/.f64 1/16 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/16 (pow.f64 x 4))) (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 x) (/.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/4 (/.f64 1 (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -2) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/4 x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/4 (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/16 (pow.f64 x 4)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/2 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 (pow.f64 x -2)))))))) (#(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 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/4 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (/.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (/.f64 1/2 x))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (/.f64 -1 x)) (fma.f64 1/4 (pow.f64 x -2) (log.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (/.f64 1/2 x)) (*.f64 1/4 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (log.f64 (/.f64 1/2 x)) (*.f64 -1/4 (pow.f64 x -2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (log.f64 1/2) 2) (+.f64 (log.f64 (/.f64 1/2 (/.f64 -1 x))) (*.f64 1/4 (pow.f64 x -2)))) (/.f64 (pow.f64 (fma.f64 -1/4 (pow.f64 x -2) (log.f64 (/.f64 -1 x))) 2) (+.f64 (log.f64 (/.f64 1/2 (/.f64 -1 x))) (*.f64 1/4 (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (log.f64 (/.f64 1/2 x)) (*.f64 -1/4 (pow.f64 x -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (log.f64 (/.f64 1/2 x)) (*.f64 -1/4 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (log.f64 (/.f64 1/2 x)) (*.f64 -1/4 (pow.f64 x -2)))) (pow.f64 (cbrt.f64 (+.f64 (log.f64 (/.f64 1/2 x)) (*.f64 -1/4 (pow.f64 x -2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (log.f64 (/.f64 1/2 x)) (*.f64 -1/4 (pow.f64 x -2)))) 2) (cbrt.f64 (+.f64 (log.f64 (/.f64 1/2 x)) (*.f64 -1/4 (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (log.f64 (/.f64 1/2 x)) (*.f64 -1/4 (pow.f64 x -2)))) (sqrt.f64 (+.f64 (log.f64 (/.f64 1/2 x)) (*.f64 -1/4 (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (log.f64 1/2) 3) (pow.f64 (fma.f64 -1/4 (pow.f64 x -2) (log.f64 (/.f64 -1 x))) 3)) (/.f64 1 (fma.f64 (fma.f64 -1/4 (pow.f64 x -2) (log.f64 (/.f64 -1 x))) (-.f64 (fma.f64 -1/4 (pow.f64 x -2) (log.f64 (/.f64 -1 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) 2) (pow.f64 (fma.f64 -1/4 (pow.f64 x -2) (log.f64 (/.f64 -1 x))) 2)) (/.f64 1 (+.f64 (log.f64 (/.f64 1/2 (/.f64 -1 x))) (*.f64 1/4 (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (fma.f64 -1/4 (pow.f64 x -2) (log.f64 (/.f64 -1 x))) (-.f64 (fma.f64 -1/4 (pow.f64 x -2) (log.f64 (/.f64 -1 x))) (log.f64 1/2)) (pow.f64 (log.f64 1/2) 2)) (+.f64 (pow.f64 (log.f64 1/2) 3) (pow.f64 (fma.f64 -1/4 (pow.f64 x -2) (log.f64 (/.f64 -1 x))) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (log.f64 (/.f64 1/2 (/.f64 -1 x))) (*.f64 1/4 (pow.f64 x -2))) (-.f64 (pow.f64 (log.f64 1/2) 2) (pow.f64 (fma.f64 -1/4 (pow.f64 x -2) (log.f64 (/.f64 -1 x))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (log.f64 1/2) 3) (pow.f64 (fma.f64 -1/4 (pow.f64 x -2) (log.f64 (/.f64 -1 x))) 3)) (fma.f64 (fma.f64 -1/4 (pow.f64 x -2) (log.f64 (/.f64 -1 x))) (-.f64 (fma.f64 -1/4 (pow.f64 x -2) (log.f64 (/.f64 -1 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) (pow.f64 (fma.f64 -1/4 (pow.f64 x -2) (log.f64 (/.f64 -1 x))) 3)) (+.f64 (pow.f64 (fma.f64 -1/4 (pow.f64 x -2) (log.f64 (/.f64 -1 x))) 2) (-.f64 (pow.f64 (log.f64 1/2) 2) (*.f64 (log.f64 1/2) (fma.f64 -1/4 (pow.f64 x -2) (log.f64 (/.f64 -1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log.f64 1/2) 2) (pow.f64 (fma.f64 -1/4 (pow.f64 x -2) (log.f64 (/.f64 -1 x))) 2)) (+.f64 (log.f64 (/.f64 1/2 (/.f64 -1 x))) (*.f64 1/4 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 1/2) 3) (pow.f64 (fma.f64 -1/4 (pow.f64 x -2) (log.f64 (/.f64 -1 x))) 3))) (neg.f64 (fma.f64 (fma.f64 -1/4 (pow.f64 x -2) (log.f64 (/.f64 -1 x))) (-.f64 (fma.f64 -1/4 (pow.f64 x -2) (log.f64 (/.f64 -1 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) (pow.f64 (fma.f64 -1/4 (pow.f64 x -2) (log.f64 (/.f64 -1 x))) 2))) (neg.f64 (+.f64 (log.f64 (/.f64 1/2 (/.f64 -1 x))) (*.f64 1/4 (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log.f64 (/.f64 1/2 x)) 3) (*.f64 1/64 (pow.f64 x -6))) (+.f64 (pow.f64 (log.f64 (/.f64 1/2 x)) 2) (+.f64 (/.f64 1/16 (pow.f64 x 4)) (*.f64 (log.f64 (/.f64 1/2 x)) (*.f64 1/4 (pow.f64 x -2))))))))) (#(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 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 -1/4 (pow.f64 x -2) (log.f64 (/.f64 -1 x))) 2) (pow.f64 (log.f64 1/2) 2)) (-.f64 (fma.f64 -1/4 (pow.f64 x -2) (log.f64 (/.f64 -1 x))) (log.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (log.f64 (/.f64 1/2 x)) (*.f64 -1/4 (pow.f64 x -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (log.f64 (/.f64 1/2 x)) (*.f64 -1/4 (pow.f64 x -2))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (log.f64 (/.f64 1/2 x)) (*.f64 -1/4 (pow.f64 x -2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (log.f64 (/.f64 1/2 x)) (*.f64 -1/4 (pow.f64 x -2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (log.f64 (/.f64 1/2 x)) (*.f64 -1/4 (pow.f64 x -2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (fma.f64 -1/4 (pow.f64 x -2) (log.f64 (/.f64 -1 x))) (-.f64 (fma.f64 -1/4 (pow.f64 x -2) (log.f64 (/.f64 -1 x))) (log.f64 1/2)) (pow.f64 (log.f64 1/2) 2)) (+.f64 (pow.f64 (log.f64 1/2) 3) (pow.f64 (fma.f64 -1/4 (pow.f64 x -2) (log.f64 (/.f64 -1 x))) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (log.f64 (/.f64 1/2 (/.f64 -1 x))) (*.f64 1/4 (pow.f64 x -2))) (-.f64 (pow.f64 (log.f64 1/2) 2) (pow.f64 (fma.f64 -1/4 (pow.f64 x -2) (log.f64 (/.f64 -1 x))) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (log.f64 (/.f64 1/2 x)) (*.f64 -1/4 (pow.f64 x -2))) 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 (+.f64 (log.f64 (/.f64 1/2 x)) (*.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 (pow.f64 x -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 1/2 (+.f64 1 (expm1.f64 (fma.f64 -1/4 (pow.f64 x -2) (log.f64 (/.f64 -1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/4 (pow.f64 x -2) (log.f64 (/.f64 -1 x))))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (/.f64 1/2 x) (exp.f64 (*.f64 -1/4 (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (/.f64 1/2 x) (pow.f64 (exp.f64 1/4) (neg.f64 (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (log.f64 (/.f64 1/2 x)) (*.f64 -1/4 (pow.f64 x -2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (log.f64 (/.f64 1/2 x)) (*.f64 -1/4 (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (log.f64 (/.f64 1/2 x)) (*.f64 -1/4 (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (log.f64 (/.f64 1/2 x)) (*.f64 -1/4 (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (log.f64 (/.f64 1/2 x)) (*.f64 -1/4 (pow.f64 x -2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (log.f64 1/2) 1 (fma.f64 -1/4 (pow.f64 x -2) (log.f64 (/.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (log.f64 (/.f64 -1 x)) 1 (fma.f64 -1/4 (pow.f64 x -2) (log.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (log.f64 (/.f64 -1 x)) 1 (neg.f64 (fma.f64 1/4 (pow.f64 x -2) (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 -1/4 (pow.f64 x -2) (log.f64 (/.f64 -1 x))) 1 (log.f64 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log.f64 1/2) (fma.f64 -1/4 (pow.f64 x -2) (log.f64 (/.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log.f64 (/.f64 -1 x)) (fma.f64 -1/4 (pow.f64 x -2) (log.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log.f64 (/.f64 -1 x)) (neg.f64 (fma.f64 1/4 (pow.f64 x -2) (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 -1/4 (pow.f64 x -2) (log.f64 (/.f64 -1 x))) (log.f64 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log.f64 (/.f64 1/2 x)) (*.f64 -1/4 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 -1/4 (pow.f64 x -2) (log.f64 (/.f64 -1 x)))) (pow.f64 (cbrt.f64 (fma.f64 -1/4 (pow.f64 x -2) (log.f64 (/.f64 -1 x)))) 2) (log.f64 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/4 (pow.f64 x -2) (log.f64 (/.f64 -1 x)))) 2) (cbrt.f64 (fma.f64 -1/4 (pow.f64 x -2) (log.f64 (/.f64 -1 x)))) (log.f64 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (log.f64 (/.f64 -1 x))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 -1 x))) 2) (fma.f64 -1/4 (pow.f64 x -2) (log.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (log.f64 (/.f64 -1 x))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 -1 x))) 2) (neg.f64 (fma.f64 1/4 (pow.f64 x -2) (log.f64 2))))))) (#(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))) (fma.f64 -1/4 (pow.f64 x -2) (log.f64 1/2)))))) (#(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))) (neg.f64 (fma.f64 1/4 (pow.f64 x -2) (log.f64 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) (fma.f64 -1/4 (pow.f64 x -2) (log.f64 (/.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log.f64 1/2)) 2) (cbrt.f64 (log.f64 1/2)) (fma.f64 -1/4 (pow.f64 x -2) (log.f64 (/.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 -1/4 (pow.f64 x -2) (log.f64 (/.f64 -1 x)))) (sqrt.f64 (fma.f64 -1/4 (pow.f64 x -2) (log.f64 (/.f64 -1 x)))) (log.f64 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log.f64 (/.f64 -1 x))) (sqrt.f64 (log.f64 (/.f64 -1 x))) (fma.f64 -1/4 (pow.f64 x -2) (log.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log.f64 (/.f64 -1 x))) (sqrt.f64 (log.f64 (/.f64 -1 x))) (neg.f64 (fma.f64 1/4 (pow.f64 x -2) (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log.f64 1/2)) (sqrt.f64 (log.f64 1/2)) (fma.f64 -1/4 (pow.f64 x -2) (log.f64 (/.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 3) (*.f64 1/64 (pow.f64 x -6))) (/.f64 1 (fma.f64 (*.f64 1/4 (pow.f64 x -2)) (fma.f64 1/4 (pow.f64 x -2) (log.f64 (/.f64 -1 x))) (pow.f64 (log.f64 (/.f64 -1 x)) 2))) (log.f64 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 2) (/.f64 1/16 (pow.f64 x 4))) (/.f64 1 (fma.f64 1/4 (pow.f64 x -2) (log.f64 (/.f64 -1 x)))) (log.f64 1/2))))) (#(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 (pow.f64 x -2)))))) (#(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 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (log.f64 (/.f64 -1 x))) (/.f64 1/2 x)) (-.f64 (sqrt.f64 (log.f64 (/.f64 -1 x))) (/.f64 1/2 x)) (log.f64 1/2))))))

simplify62.0ms (0.6%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
031337
169293
2144293
3327293
4885293
52752293
Stop Event
1×node limit
Counts
119 → 106
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))))
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 (+.f64 (neg.f64 (log.f64 x)) (+.f64 (log.f64 1/2) (log.f64 -1))) (/.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 (/.f64 1/4 (*.f64 x x)) (log.f64 (/.f64 -1 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 (+.f64 (neg.f64 (log.f64 x)) (+.f64 (log.f64 1/2) (log.f64 -1))) (/.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 (/.f64 1/4 (*.f64 x x)) (log.f64 (/.f64 -1 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 (+.f64 (neg.f64 (log.f64 x)) (+.f64 (log.f64 1/2) (log.f64 -1))) (/.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 (/.f64 1/4 (*.f64 x x)) (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 (/.f64 1 x)) (+.f64 (log.f64 -1) (log.f64 1/2)))
(+.f64 (neg.f64 (log.f64 x)) (+.f64 (log.f64 1/2) (log.f64 -1)))
(+.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 (+.f64 (neg.f64 (log.f64 x)) (+.f64 (log.f64 1/2) (log.f64 -1))) (/.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 (/.f64 1/4 (*.f64 x x)) (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 (+.f64 (neg.f64 (log.f64 x)) (+.f64 (log.f64 1/2) (log.f64 -1))) (/.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 (/.f64 1/4 (*.f64 x x)) (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 (+.f64 (neg.f64 (log.f64 x)) (+.f64 (log.f64 1/2) (log.f64 -1))) (/.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 (/.f64 1/4 (*.f64 x x)) (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
(+.f64 (neg.f64 (log.f64 x)) (+.f64 (log.f64 1/2) (log.f64 -1)))
(+.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 (+.f64 (neg.f64 (log.f64 x)) (+.f64 (log.f64 1/2) (log.f64 -1))) (/.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 (/.f64 1/4 (*.f64 x x)) (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 (+.f64 (neg.f64 (log.f64 x)) (+.f64 (log.f64 1/2) (log.f64 -1))) (/.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 (/.f64 1/4 (*.f64 x x)) (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 (+.f64 (neg.f64 (log.f64 x)) (+.f64 (log.f64 1/2) (log.f64 -1))) (/.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 (/.f64 1/4 (*.f64 x x)) (log.f64 (/.f64 -1 x))))

localize35.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.2b
(pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)
0.7b
(+.f64 x (hypot.f64 1 x))
✓2.1b
(+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1)
2.1b
(log.f64 (+.f64 x (hypot.f64 1 x)))
Compiler

Compiled 78 to 60 computations (23.1% saved)

series4.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite90.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
612×prod-diff_binary64
456×log-prod_binary64
362×fma-def_binary64
303×pow-prod-down_binary64
288×pow2_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01133
123933
2304631
Stop Event
1×node limit
Counts
2 → 92
Calls
Call 1
Inputs
(+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1)
(pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)
Outputs
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x)))) (*.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1 (*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1 (*.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (+.f64 x (hypot.f64 1 x))) (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2) (cbrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) (*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2) (cbrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) (*.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2) (*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2) (*.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) (*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) (*.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)) (/.f64 1 (fma.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (-.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1) 1)) (*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)) (/.f64 1 (fma.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (-.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1) 1)) (*.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)) (/.f64 1 (-.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) (*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)) (/.f64 1 (-.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) (*.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) 4)) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2)) (*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) 4)) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2)) (*.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (+.f64 x (hypot.f64 1 x)))))))))

simplify60.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
672×associate-/l*_binary64
463×associate-+l+_binary64
405×associate-*l*_binary64
340×fma-def_binary64
305×associate-*l/_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0841060
1243977
2855888
34049830
Stop Event
1×node limit
Counts
116 → 137
Calls
Call 1
Inputs
(*.f64 2 x)
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(+.f64 (*.f64 2 x) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (pow.f64 x 2)))
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (+.f64 (*.f64 2 x) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (pow.f64 x 2))))
(-.f64 (pow.f64 (+.f64 1 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))) 2) 1)
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (+.f64 1 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))) (pow.f64 x 2))) (pow.f64 (+.f64 1 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))) 2)) 1)
(-.f64 (+.f64 (*.f64 -3/16 (/.f64 (+.f64 1 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))) (pow.f64 x 4))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 1 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))) (pow.f64 x 2))) (+.f64 (pow.f64 (+.f64 1 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))) 2) (*.f64 1/16 (/.f64 1 (pow.f64 x 4)))))) 1)
(-.f64 (+.f64 (*.f64 5/48 (/.f64 (+.f64 1 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))) (pow.f64 x 6))) (+.f64 (*.f64 -3/16 (/.f64 (+.f64 1 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))) (pow.f64 x 4))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 1 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))) (pow.f64 x 2))) (+.f64 (pow.f64 (+.f64 1 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))) 2) (*.f64 1/16 (/.f64 1 (pow.f64 x 4))))))) (+.f64 (*.f64 3/64 (/.f64 1 (pow.f64 x 6))) 1))
(-.f64 (pow.f64 (+.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) 2) 1)
(-.f64 (+.f64 (*.f64 -1/2 (/.f64 (+.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) (pow.f64 x 2))) (pow.f64 (+.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) 2)) 1)
(-.f64 (+.f64 (*.f64 -1/2 (/.f64 (+.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) (pow.f64 x 2))) (+.f64 (*.f64 3/16 (/.f64 (+.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) (pow.f64 x 4))) (+.f64 (pow.f64 (+.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) 2) (*.f64 1/16 (/.f64 1 (pow.f64 x 4)))))) 1)
(-.f64 (+.f64 (*.f64 -1/2 (/.f64 (+.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) (pow.f64 x 2))) (+.f64 (*.f64 -5/48 (/.f64 (+.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) (pow.f64 x 6))) (+.f64 (*.f64 3/16 (/.f64 (+.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) (pow.f64 x 4))) (+.f64 (pow.f64 (+.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) 2) (*.f64 1/16 (/.f64 1 (pow.f64 x 4))))))) (+.f64 (*.f64 3/64 (/.f64 1 (pow.f64 x 6))) 1))
1
(+.f64 (*.f64 2 x) 1)
(+.f64 (*.f64 2 x) (+.f64 1 (pow.f64 x 2)))
(+.f64 (*.f64 2 x) (+.f64 1 (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (pow.f64 x 2))))
(pow.f64 (+.f64 1 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))) 2)
(+.f64 (*.f64 1/2 (/.f64 (+.f64 1 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))) (pow.f64 x 2))) (pow.f64 (+.f64 1 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))) 2))
(+.f64 (*.f64 -3/16 (/.f64 (+.f64 1 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))) (pow.f64 x 4))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 1 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))) (pow.f64 x 2))) (+.f64 (pow.f64 (+.f64 1 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))) 2) (*.f64 1/16 (/.f64 1 (pow.f64 x 4))))))
(-.f64 (+.f64 (*.f64 5/48 (/.f64 (+.f64 1 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))) (pow.f64 x 6))) (+.f64 (*.f64 -3/16 (/.f64 (+.f64 1 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))) (pow.f64 x 4))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 1 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))) (pow.f64 x 2))) (+.f64 (pow.f64 (+.f64 1 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))) 2) (*.f64 1/16 (/.f64 1 (pow.f64 x 4))))))) (*.f64 3/64 (/.f64 1 (pow.f64 x 6))))
(pow.f64 (+.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) 2)
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) (pow.f64 x 2))) (pow.f64 (+.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) 2))
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) (pow.f64 x 2))) (+.f64 (*.f64 3/16 (/.f64 (+.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) (pow.f64 x 4))) (+.f64 (pow.f64 (+.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) 2) (*.f64 1/16 (/.f64 1 (pow.f64 x 4))))))
(-.f64 (+.f64 (*.f64 -1/2 (/.f64 (+.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) (pow.f64 x 2))) (+.f64 (*.f64 -5/48 (/.f64 (+.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) (pow.f64 x 6))) (+.f64 (*.f64 3/16 (/.f64 (+.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) (pow.f64 x 4))) (+.f64 (pow.f64 (+.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) 2) (*.f64 1/16 (/.f64 1 (pow.f64 x 4))))))) (*.f64 3/64 (/.f64 1 (pow.f64 x 6))))
Outputs
(*.f64 2 x)
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(fma.f64 2 x (*.f64 x x))
(*.f64 x (+.f64 2 x))
(+.f64 (*.f64 2 x) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (pow.f64 x 2)))
(fma.f64 2 x (fma.f64 -1/3 (pow.f64 x 3) (*.f64 x x)))
(fma.f64 2 x (fma.f64 x x (*.f64 -1/3 (pow.f64 x 3))))
(fma.f64 x (+.f64 2 x) (*.f64 -1/3 (pow.f64 x 3)))
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (+.f64 (*.f64 2 x) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (pow.f64 x 2))))
(fma.f64 -1/3 (pow.f64 x 4) (fma.f64 2 x (fma.f64 -1/3 (pow.f64 x 3) (*.f64 x x))))
(fma.f64 -1/3 (pow.f64 x 4) (fma.f64 2 x (fma.f64 x x (*.f64 -1/3 (pow.f64 x 3)))))
(fma.f64 -1/3 (pow.f64 x 4) (fma.f64 x (+.f64 2 x) (*.f64 -1/3 (pow.f64 x 3))))
(-.f64 (pow.f64 (+.f64 1 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))) 2) 1)
(+.f64 (pow.f64 (+.f64 (+.f64 1 (log.f64 2)) (neg.f64 (neg.f64 (log.f64 x)))) 2) -1)
(+.f64 -1 (pow.f64 (+.f64 1 (+.f64 (log.f64 2) (log.f64 x))) 2))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (+.f64 1 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))) (pow.f64 x 2))) (pow.f64 (+.f64 1 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))) 2)) 1)
(+.f64 (fma.f64 1/2 (/.f64 (+.f64 (+.f64 1 (log.f64 2)) (neg.f64 (neg.f64 (log.f64 x)))) (*.f64 x x)) (pow.f64 (+.f64 (+.f64 1 (log.f64 2)) (neg.f64 (neg.f64 (log.f64 x)))) 2)) -1)
(+.f64 -1 (fma.f64 1/2 (/.f64 (+.f64 1 (+.f64 (log.f64 2) (log.f64 x))) (*.f64 x x)) (pow.f64 (+.f64 1 (+.f64 (log.f64 2) (log.f64 x))) 2)))
(+.f64 -1 (+.f64 (pow.f64 (+.f64 1 (+.f64 (log.f64 2) (log.f64 x))) 2) (/.f64 (fma.f64 (+.f64 (log.f64 2) (log.f64 x)) 1/2 1/2) (*.f64 x x))))
(+.f64 -1 (*.f64 (+.f64 1 (+.f64 (log.f64 2) (log.f64 x))) (+.f64 (+.f64 1 (+.f64 (log.f64 2) (log.f64 x))) (/.f64 1/2 (*.f64 x x)))))
(-.f64 (+.f64 (*.f64 -3/16 (/.f64 (+.f64 1 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))) (pow.f64 x 4))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 1 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))) (pow.f64 x 2))) (+.f64 (pow.f64 (+.f64 1 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))) 2) (*.f64 1/16 (/.f64 1 (pow.f64 x 4)))))) 1)
(+.f64 (fma.f64 -3/16 (/.f64 (+.f64 (+.f64 1 (log.f64 2)) (neg.f64 (neg.f64 (log.f64 x)))) (pow.f64 x 4)) (+.f64 (fma.f64 1/2 (/.f64 (+.f64 (+.f64 1 (log.f64 2)) (neg.f64 (neg.f64 (log.f64 x)))) (*.f64 x x)) (pow.f64 (+.f64 (+.f64 1 (log.f64 2)) (neg.f64 (neg.f64 (log.f64 x)))) 2)) (/.f64 1/16 (pow.f64 x 4)))) -1)
(+.f64 -1 (fma.f64 -3/16 (/.f64 (+.f64 1 (+.f64 (log.f64 2) (log.f64 x))) (pow.f64 x 4)) (+.f64 (fma.f64 1/2 (/.f64 (+.f64 1 (+.f64 (log.f64 2) (log.f64 x))) (*.f64 x x)) (pow.f64 (+.f64 1 (+.f64 (log.f64 2) (log.f64 x))) 2)) (/.f64 1/16 (pow.f64 x 4)))))
(+.f64 -1 (+.f64 (+.f64 (pow.f64 (+.f64 1 (+.f64 (log.f64 2) (log.f64 x))) 2) (/.f64 1/16 (pow.f64 x 4))) (*.f64 (/.f64 (+.f64 1 (+.f64 (log.f64 2) (log.f64 x))) (*.f64 x x)) (+.f64 1/2 (/.f64 (/.f64 -3/16 x) x)))))
(+.f64 (+.f64 (pow.f64 (+.f64 1 (+.f64 (log.f64 2) (log.f64 x))) 2) (/.f64 1/16 (pow.f64 x 4))) (fma.f64 (/.f64 (+.f64 1 (+.f64 (log.f64 2) (log.f64 x))) (*.f64 x x)) (+.f64 1/2 (/.f64 -3/16 (*.f64 x x))) -1))
(-.f64 (+.f64 (*.f64 5/48 (/.f64 (+.f64 1 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))) (pow.f64 x 6))) (+.f64 (*.f64 -3/16 (/.f64 (+.f64 1 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))) (pow.f64 x 4))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 1 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))) (pow.f64 x 2))) (+.f64 (pow.f64 (+.f64 1 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))) 2) (*.f64 1/16 (/.f64 1 (pow.f64 x 4))))))) (+.f64 (*.f64 3/64 (/.f64 1 (pow.f64 x 6))) 1))
(-.f64 (fma.f64 5/48 (/.f64 (+.f64 (+.f64 1 (log.f64 2)) (neg.f64 (neg.f64 (log.f64 x)))) (pow.f64 x 6)) (fma.f64 -3/16 (/.f64 (+.f64 (+.f64 1 (log.f64 2)) (neg.f64 (neg.f64 (log.f64 x)))) (pow.f64 x 4)) (+.f64 (fma.f64 1/2 (/.f64 (+.f64 (+.f64 1 (log.f64 2)) (neg.f64 (neg.f64 (log.f64 x)))) (*.f64 x x)) (pow.f64 (+.f64 (+.f64 1 (log.f64 2)) (neg.f64 (neg.f64 (log.f64 x)))) 2)) (/.f64 1/16 (pow.f64 x 4))))) (+.f64 1 (/.f64 3/64 (pow.f64 x 6))))
(+.f64 (fma.f64 5/48 (/.f64 (+.f64 1 (+.f64 (log.f64 2) (log.f64 x))) (pow.f64 x 6)) (fma.f64 -3/16 (/.f64 (+.f64 1 (+.f64 (log.f64 2) (log.f64 x))) (pow.f64 x 4)) (+.f64 (fma.f64 1/2 (/.f64 (+.f64 1 (+.f64 (log.f64 2) (log.f64 x))) (*.f64 x x)) (pow.f64 (+.f64 1 (+.f64 (log.f64 2) (log.f64 x))) 2)) (/.f64 1/16 (pow.f64 x 4))))) (+.f64 -1 (/.f64 -3/64 (pow.f64 x 6))))
(+.f64 (+.f64 (+.f64 (pow.f64 (+.f64 1 (+.f64 (log.f64 2) (log.f64 x))) 2) (/.f64 1/16 (pow.f64 x 4))) (*.f64 (/.f64 (+.f64 1 (+.f64 (log.f64 2) (log.f64 x))) (*.f64 x x)) (+.f64 1/2 (/.f64 (/.f64 -3/16 x) x)))) (fma.f64 5/48 (/.f64 (+.f64 1 (+.f64 (log.f64 2) (log.f64 x))) (pow.f64 x 6)) (+.f64 -1 (/.f64 -3/64 (pow.f64 x 6)))))
(+.f64 (+.f64 (+.f64 (*.f64 (/.f64 (+.f64 1 (+.f64 (log.f64 2) (log.f64 x))) (*.f64 x x)) (+.f64 (/.f64 5/48 (pow.f64 x 4)) (+.f64 1/2 (/.f64 -3/16 (*.f64 x x))))) (/.f64 1/16 (pow.f64 x 4))) (pow.f64 (+.f64 1 (+.f64 (log.f64 2) (log.f64 x))) 2)) (+.f64 -1 (/.f64 -3/64 (pow.f64 x 6))))
(-.f64 (pow.f64 (+.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) 2) 1)
(+.f64 (pow.f64 (+.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) 2) -1)
(+.f64 -1 (pow.f64 (+.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) 2))
(-.f64 (+.f64 (*.f64 -1/2 (/.f64 (+.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) (pow.f64 x 2))) (pow.f64 (+.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) 2)) 1)
(+.f64 (fma.f64 -1/2 (/.f64 (+.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) (*.f64 x x)) (pow.f64 (+.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) 2)) -1)
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(-.f64 (+.f64 (*.f64 -1/2 (/.f64 (+.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) (pow.f64 x 2))) (+.f64 (*.f64 3/16 (/.f64 (+.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) (pow.f64 x 4))) (+.f64 (pow.f64 (+.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) 2) (*.f64 1/16 (/.f64 1 (pow.f64 x 4)))))) 1)
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(-.f64 (+.f64 (*.f64 -1/2 (/.f64 (+.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) (pow.f64 x 2))) (+.f64 (*.f64 -5/48 (/.f64 (+.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) (pow.f64 x 6))) (+.f64 (*.f64 3/16 (/.f64 (+.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) (pow.f64 x 4))) (+.f64 (pow.f64 (+.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) 2) (*.f64 1/16 (/.f64 1 (pow.f64 x 4))))))) (+.f64 (*.f64 3/64 (/.f64 1 (pow.f64 x 6))) 1))
(-.f64 (fma.f64 -1/2 (/.f64 (+.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) (*.f64 x x)) (fma.f64 -5/48 (/.f64 (+.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) (pow.f64 x 6)) (fma.f64 3/16 (/.f64 (+.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) (pow.f64 x 4)) (+.f64 (/.f64 1/16 (pow.f64 x 4)) (pow.f64 (+.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) 2))))) (+.f64 1 (/.f64 3/64 (pow.f64 x 6))))
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(+.f64 (+.f64 (pow.f64 (+.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) 2) (+.f64 (/.f64 1/16 (pow.f64 x 4)) (*.f64 (/.f64 (+.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) (*.f64 x x)) (+.f64 -1/2 (/.f64 (/.f64 3/16 x) x))))) (+.f64 (/.f64 (fma.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) -5/48 -5/48) (pow.f64 x 6)) (+.f64 -1 (/.f64 -3/64 (pow.f64 x 6)))))
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1
(+.f64 (*.f64 2 x) 1)
(fma.f64 2 x 1)
(+.f64 (*.f64 2 x) (+.f64 1 (pow.f64 x 2)))
(+.f64 (fma.f64 2 x 1) (*.f64 x x))
(fma.f64 2 x (fma.f64 x x 1))
(fma.f64 x (+.f64 2 x) 1)
(+.f64 (*.f64 2 x) (+.f64 1 (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (pow.f64 x 2))))
(+.f64 (fma.f64 2 x 1) (fma.f64 -1/3 (pow.f64 x 3) (*.f64 x x)))
(+.f64 (fma.f64 x x (*.f64 -1/3 (pow.f64 x 3))) (fma.f64 2 x 1))
(fma.f64 2 x (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 x x 1)))
(fma.f64 2 x (fma.f64 x x (fma.f64 -1/3 (pow.f64 x 3) 1)))
(pow.f64 (+.f64 1 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))) 2)
(pow.f64 (+.f64 (+.f64 1 (log.f64 2)) (neg.f64 (neg.f64 (log.f64 x)))) 2)
(pow.f64 (+.f64 1 (+.f64 (log.f64 2) (log.f64 x))) 2)
(+.f64 (*.f64 1/2 (/.f64 (+.f64 1 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))) (pow.f64 x 2))) (pow.f64 (+.f64 1 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))) 2))
(fma.f64 1/2 (/.f64 (+.f64 (+.f64 1 (log.f64 2)) (neg.f64 (neg.f64 (log.f64 x)))) (*.f64 x x)) (pow.f64 (+.f64 (+.f64 1 (log.f64 2)) (neg.f64 (neg.f64 (log.f64 x)))) 2))
(fma.f64 1/2 (/.f64 (+.f64 1 (+.f64 (log.f64 2) (log.f64 x))) (*.f64 x x)) (pow.f64 (+.f64 1 (+.f64 (log.f64 2) (log.f64 x))) 2))
(+.f64 (pow.f64 (+.f64 1 (+.f64 (log.f64 2) (log.f64 x))) 2) (/.f64 (fma.f64 (+.f64 (log.f64 2) (log.f64 x)) 1/2 1/2) (*.f64 x x)))
(*.f64 (+.f64 1 (+.f64 (log.f64 2) (log.f64 x))) (+.f64 (+.f64 1 (+.f64 (log.f64 2) (log.f64 x))) (/.f64 1/2 (*.f64 x x))))
(+.f64 (*.f64 -3/16 (/.f64 (+.f64 1 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))) (pow.f64 x 4))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 1 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))) (pow.f64 x 2))) (+.f64 (pow.f64 (+.f64 1 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))) 2) (*.f64 1/16 (/.f64 1 (pow.f64 x 4))))))
(fma.f64 -3/16 (/.f64 (+.f64 (+.f64 1 (log.f64 2)) (neg.f64 (neg.f64 (log.f64 x)))) (pow.f64 x 4)) (+.f64 (fma.f64 1/2 (/.f64 (+.f64 (+.f64 1 (log.f64 2)) (neg.f64 (neg.f64 (log.f64 x)))) (*.f64 x x)) (pow.f64 (+.f64 (+.f64 1 (log.f64 2)) (neg.f64 (neg.f64 (log.f64 x)))) 2)) (/.f64 1/16 (pow.f64 x 4))))
(fma.f64 -3/16 (/.f64 (+.f64 1 (+.f64 (log.f64 2) (log.f64 x))) (pow.f64 x 4)) (+.f64 (fma.f64 1/2 (/.f64 (+.f64 1 (+.f64 (log.f64 2) (log.f64 x))) (*.f64 x x)) (pow.f64 (+.f64 1 (+.f64 (log.f64 2) (log.f64 x))) 2)) (/.f64 1/16 (pow.f64 x 4))))
(+.f64 (+.f64 (pow.f64 (+.f64 1 (+.f64 (log.f64 2) (log.f64 x))) 2) (/.f64 1/16 (pow.f64 x 4))) (*.f64 (/.f64 (+.f64 1 (+.f64 (log.f64 2) (log.f64 x))) (*.f64 x x)) (+.f64 1/2 (/.f64 (/.f64 -3/16 x) x))))
(+.f64 (pow.f64 (+.f64 1 (+.f64 (log.f64 2) (log.f64 x))) 2) (+.f64 (/.f64 1/16 (pow.f64 x 4)) (*.f64 (/.f64 (+.f64 1 (+.f64 (log.f64 2) (log.f64 x))) x) (+.f64 (/.f64 1/2 x) (/.f64 -3/16 (pow.f64 x 3))))))
(-.f64 (+.f64 (*.f64 5/48 (/.f64 (+.f64 1 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))) (pow.f64 x 6))) (+.f64 (*.f64 -3/16 (/.f64 (+.f64 1 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))) (pow.f64 x 4))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 1 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))) (pow.f64 x 2))) (+.f64 (pow.f64 (+.f64 1 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))) 2) (*.f64 1/16 (/.f64 1 (pow.f64 x 4))))))) (*.f64 3/64 (/.f64 1 (pow.f64 x 6))))
(-.f64 (fma.f64 5/48 (/.f64 (+.f64 (+.f64 1 (log.f64 2)) (neg.f64 (neg.f64 (log.f64 x)))) (pow.f64 x 6)) (fma.f64 -3/16 (/.f64 (+.f64 (+.f64 1 (log.f64 2)) (neg.f64 (neg.f64 (log.f64 x)))) (pow.f64 x 4)) (+.f64 (fma.f64 1/2 (/.f64 (+.f64 (+.f64 1 (log.f64 2)) (neg.f64 (neg.f64 (log.f64 x)))) (*.f64 x x)) (pow.f64 (+.f64 (+.f64 1 (log.f64 2)) (neg.f64 (neg.f64 (log.f64 x)))) 2)) (/.f64 1/16 (pow.f64 x 4))))) (/.f64 3/64 (pow.f64 x 6)))
(+.f64 (fma.f64 5/48 (/.f64 (+.f64 1 (+.f64 (log.f64 2) (log.f64 x))) (pow.f64 x 6)) (fma.f64 -3/16 (/.f64 (+.f64 1 (+.f64 (log.f64 2) (log.f64 x))) (pow.f64 x 4)) (+.f64 (fma.f64 1/2 (/.f64 (+.f64 1 (+.f64 (log.f64 2) (log.f64 x))) (*.f64 x x)) (pow.f64 (+.f64 1 (+.f64 (log.f64 2) (log.f64 x))) 2)) (/.f64 1/16 (pow.f64 x 4))))) (/.f64 -3/64 (pow.f64 x 6)))
(+.f64 (+.f64 (pow.f64 (+.f64 1 (+.f64 (log.f64 2) (log.f64 x))) 2) (/.f64 1/16 (pow.f64 x 4))) (+.f64 (*.f64 (/.f64 (+.f64 1 (+.f64 (log.f64 2) (log.f64 x))) (*.f64 x x)) (+.f64 1/2 (/.f64 (/.f64 -3/16 x) x))) (+.f64 (/.f64 (fma.f64 (+.f64 (log.f64 2) (log.f64 x)) 5/48 5/48) (pow.f64 x 6)) (/.f64 -3/64 (pow.f64 x 6)))))
(+.f64 (+.f64 (+.f64 (*.f64 (/.f64 (+.f64 1 (+.f64 (log.f64 2) (log.f64 x))) (*.f64 x x)) (+.f64 (/.f64 5/48 (pow.f64 x 4)) (+.f64 1/2 (/.f64 -3/16 (*.f64 x x))))) (/.f64 1/16 (pow.f64 x 4))) (pow.f64 (+.f64 1 (+.f64 (log.f64 2) (log.f64 x))) 2)) (/.f64 -3/64 (pow.f64 x 6)))
(pow.f64 (+.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) 2)
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) (pow.f64 x 2))) (pow.f64 (+.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) 2))
(fma.f64 -1/2 (/.f64 (+.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) (*.f64 x x)) (pow.f64 (+.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) 2))
(+.f64 (pow.f64 (+.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) 2) (/.f64 (fma.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) -1/2 -1/2) (*.f64 x x)))
(*.f64 (+.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) (+.f64 (+.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) (/.f64 -1/2 (*.f64 x x))))
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) (pow.f64 x 2))) (+.f64 (*.f64 3/16 (/.f64 (+.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) (pow.f64 x 4))) (+.f64 (pow.f64 (+.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) 2) (*.f64 1/16 (/.f64 1 (pow.f64 x 4))))))
(fma.f64 -1/2 (/.f64 (+.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) (*.f64 x x)) (fma.f64 3/16 (/.f64 (+.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) (pow.f64 x 4)) (+.f64 (/.f64 1/16 (pow.f64 x 4)) (pow.f64 (+.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) 2))))
(+.f64 (pow.f64 (+.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) 2) (+.f64 (/.f64 1/16 (pow.f64 x 4)) (*.f64 (/.f64 (+.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) (*.f64 x x)) (+.f64 -1/2 (/.f64 (/.f64 3/16 x) x)))))
(+.f64 (/.f64 1/16 (pow.f64 x 4)) (+.f64 (pow.f64 (+.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) 2) (*.f64 (+.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) (+.f64 (/.f64 -1/2 (*.f64 x x)) (/.f64 3/16 (pow.f64 x 4))))))
(-.f64 (+.f64 (*.f64 -1/2 (/.f64 (+.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) (pow.f64 x 2))) (+.f64 (*.f64 -5/48 (/.f64 (+.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) (pow.f64 x 6))) (+.f64 (*.f64 3/16 (/.f64 (+.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) (pow.f64 x 4))) (+.f64 (pow.f64 (+.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) 2) (*.f64 1/16 (/.f64 1 (pow.f64 x 4))))))) (*.f64 3/64 (/.f64 1 (pow.f64 x 6))))
(-.f64 (fma.f64 -1/2 (/.f64 (+.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) (*.f64 x x)) (fma.f64 -5/48 (/.f64 (+.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) (pow.f64 x 6)) (fma.f64 3/16 (/.f64 (+.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) (pow.f64 x 4)) (+.f64 (/.f64 1/16 (pow.f64 x 4)) (pow.f64 (+.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) 2))))) (/.f64 3/64 (pow.f64 x 6)))
(+.f64 (fma.f64 -1/2 (/.f64 (+.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) (*.f64 x x)) (fma.f64 -5/48 (/.f64 (+.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) (pow.f64 x 6)) (fma.f64 3/16 (/.f64 (+.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) (pow.f64 x 4)) (+.f64 (/.f64 1/16 (pow.f64 x 4)) (pow.f64 (+.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) 2))))) (/.f64 -3/64 (pow.f64 x 6)))
(+.f64 (+.f64 (pow.f64 (+.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) 2) (+.f64 (/.f64 1/16 (pow.f64 x 4)) (*.f64 (/.f64 (+.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) (*.f64 x x)) (+.f64 -1/2 (/.f64 (/.f64 3/16 x) x))))) (fma.f64 -5/48 (/.f64 (+.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) (pow.f64 x 6)) (/.f64 -3/64 (pow.f64 x 6))))
(+.f64 (+.f64 (+.f64 (/.f64 1/16 (pow.f64 x 4)) (pow.f64 (+.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) 2)) (*.f64 (/.f64 (+.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) (*.f64 x x)) (+.f64 (/.f64 -5/48 (pow.f64 x 4)) (+.f64 -1/2 (/.f64 (/.f64 3/16 x) x))))) (/.f64 -3/64 (pow.f64 x 6)))

eval425.0ms (4.3%)

Compiler

Compiled 14840 to 11885 computations (19.9% saved)

prune96.0ms (1%)

Pruning

19 alts after pruning (8 fresh and 11 done)

PrunedKeptTotal
New6115616
Fresh336
Picked011
Done01010
Total61419633
Error
0.0b
Counts
633 → 19
Alt Table
Click to see full alt table
StatusErrorProgram
✓46.4b
(/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))
✓50.1b
(log.f64 (*.f64 x 2))
✓46.6b
(log.f64 (/.f64 -1/2 x))
✓46.4b
(*.f64 (+.f64 (/.f64 -1/4 (*.f64 x x)) (log.f64 (/.f64 -1/2 x))) 1)
✓31.1b
(+.f64 (*.f64 (*.f64 x x) (*.f64 x -1/6)) x)
✓59.1b
(-.f64 (+.f64 1 x) 1)
30.5b
(/.f64 (*.f64 (+.f64 x 2) x) (+.f64 x 2))
✓63.4b
(log.f64 (+.f64 x (-.f64 (/.f64 -1/2 x) x)))
60.5b
(-.f64 (+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)) 1)
✓31.3b
(+.f64 (-.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 3))) 1) x)
29.9b
x
30.6b
(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x)))
✓46.3b
(log.f64 (+.f64 x (hypot.f64 1 x)))
30.5b
(*.f64 (*.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2)))
59.1b
(log.f64 (/.f64 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x)) (-.f64 (hypot.f64 1 x) x)))
✓49.4b
(log.f64 (+.f64 x (-.f64 x (/.f64 -1/2 x))))
✓46.4b
(+.f64 (log.f64 1/2) (-.f64 (log.f64 (/.f64 -1 x)) (/.f64 1/4 (*.f64 x x))))
47.0b
(/.f64 (+.f64 (exp.f64 (*.f64 2 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) -1) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))
46.3b
(+.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1) 1)
Compiler

Compiled 210 to 158 computations (24.8% saved)

regimes76.0ms (0.8%)

Counts
29 → 3
Calls
Call 1
Inputs
x
x
(-.f64 (+.f64 1 x) 1)
(/.f64 (*.f64 (+.f64 x 2) x) (+.f64 x 2))
(+.f64 (*.f64 (*.f64 x x) (*.f64 x -1/6)) x)
(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x)))
(*.f64 (*.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2)))
(log.f64 (/.f64 -1/2 x))
(log.f64 (/.f64 -1/2 x))
(log.f64 (*.f64 x 2))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(log.f64 (+.f64 x (-.f64 x (/.f64 -1/2 x))))
(log.f64 (+.f64 x (-.f64 (/.f64 -1/2 x) x)))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)) 1)
(+.f64 (-.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 3))) 1) x)
(*.f64 (+.f64 (/.f64 -1/4 (*.f64 x x)) (log.f64 (/.f64 -1/2 x))) 1)
(*.f64 (+.f64 (/.f64 -1/4 (*.f64 x x)) (log.f64 (*.f64 (/.f64 -1 x) 1/2))) 1)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
(+.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1) 1)
(log.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/2 x)))
(-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(+.f64 (log.f64 1/2) (-.f64 (log.f64 (/.f64 -1 x)) (/.f64 1/4 (*.f64 x x))))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (/.f64 (/.f64 -1/4 x) x)))
(log.f64 (/.f64 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x)) (-.f64 (hypot.f64 1 x) x)))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))
(/.f64 (+.f64 (exp.f64 (*.f64 2 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) -1) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))
(/.f64 (-.f64 1 (*.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1))) (-.f64 1 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1)) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1))))
Outputs
(*.f64 (+.f64 (/.f64 -1/4 (*.f64 x x)) (log.f64 (/.f64 -1/2 x))) 1)
(+.f64 (*.f64 (*.f64 x x) (*.f64 x -1/6)) x)
(+.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1) 1)
Calls

3 calls:

41.0ms
x
12.0ms
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
11.0ms
(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))
Results
ErrorSegmentsBranch
0.1b3x
7.1b3(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
7.1b3(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))
Compiler

Compiled 352 to 257 computations (27% saved)

bsearch46.0ms (0.5%)

Algorithm
2×binary-search
Steps
TimeLeftRight
23.0ms
0.00018058092518157055
0.02162174461487409
22.0ms
-1582.755949319897
-0.02733520144373868
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes52.0ms (0.5%)

Counts
19 → 3
Calls
Call 1
Inputs
x
x
(-.f64 (+.f64 1 x) 1)
(/.f64 (*.f64 (+.f64 x 2) x) (+.f64 x 2))
(+.f64 (*.f64 (*.f64 x x) (*.f64 x -1/6)) x)
(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x)))
(*.f64 (*.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2)))
(log.f64 (/.f64 -1/2 x))
(log.f64 (/.f64 -1/2 x))
(log.f64 (*.f64 x 2))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(log.f64 (+.f64 x (-.f64 x (/.f64 -1/2 x))))
(log.f64 (+.f64 x (-.f64 (/.f64 -1/2 x) x)))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)) 1)
(+.f64 (-.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 3))) 1) x)
(*.f64 (+.f64 (/.f64 -1/4 (*.f64 x x)) (log.f64 (/.f64 -1/2 x))) 1)
(*.f64 (+.f64 (/.f64 -1/4 (*.f64 x x)) (log.f64 (*.f64 (/.f64 -1 x) 1/2))) 1)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
Outputs
(*.f64 (+.f64 (/.f64 -1/4 (*.f64 x x)) (log.f64 (/.f64 -1/2 x))) 1)
(+.f64 (*.f64 (*.f64 x x) (*.f64 x -1/6)) x)
(log.f64 (+.f64 x (hypot.f64 1 x)))
Calls

3 calls:

28.0ms
x
10.0ms
(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))
9.0ms
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
Results
ErrorSegmentsBranch
0.1b3x
7.1b3(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
7.1b3(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))
Compiler

Compiled 167 to 115 computations (31.1% saved)

bsearch46.0ms (0.5%)

Algorithm
2×binary-search
Steps
TimeLeftRight
23.0ms
0.00018058092518157055
0.02162174461487409
22.0ms
-1582.755949319897
-0.02733520144373868
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes36.0ms (0.4%)

Counts
17 → 3
Calls
Call 1
Inputs
x
x
(-.f64 (+.f64 1 x) 1)
(/.f64 (*.f64 (+.f64 x 2) x) (+.f64 x 2))
(+.f64 (*.f64 (*.f64 x x) (*.f64 x -1/6)) x)
(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x)))
(*.f64 (*.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2)))
(log.f64 (/.f64 -1/2 x))
(log.f64 (/.f64 -1/2 x))
(log.f64 (*.f64 x 2))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(log.f64 (+.f64 x (-.f64 x (/.f64 -1/2 x))))
(log.f64 (+.f64 x (-.f64 (/.f64 -1/2 x) x)))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)) 1)
(+.f64 (-.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 3))) 1) x)
(*.f64 (+.f64 (/.f64 -1/4 (*.f64 x x)) (log.f64 (/.f64 -1/2 x))) 1)
(*.f64 (+.f64 (/.f64 -1/4 (*.f64 x x)) (log.f64 (*.f64 (/.f64 -1 x) 1/2))) 1)
Outputs
(*.f64 (+.f64 (/.f64 -1/4 (*.f64 x x)) (log.f64 (/.f64 -1/2 x))) 1)
(+.f64 (*.f64 (*.f64 x x) (*.f64 x -1/6)) x)
(log.f64 (+.f64 x (-.f64 x (/.f64 -1/2 x))))
Calls

1 calls:

31.0ms
x
Results
ErrorSegmentsBranch
0.3b3x
Compiler

Compiled 133 to 93 computations (30.1% saved)

bsearch46.0ms (0.5%)

Algorithm
2×binary-search
Steps
TimeLeftRight
22.0ms
0.02162174461487409
18.620380226643597
23.0ms
-1582.755949319897
-0.02733520144373868
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes28.0ms (0.3%)

Counts
15 → 3
Calls
Call 1
Inputs
x
x
(-.f64 (+.f64 1 x) 1)
(/.f64 (*.f64 (+.f64 x 2) x) (+.f64 x 2))
(+.f64 (*.f64 (*.f64 x x) (*.f64 x -1/6)) x)
(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x)))
(*.f64 (*.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2)))
(log.f64 (/.f64 -1/2 x))
(log.f64 (/.f64 -1/2 x))
(log.f64 (*.f64 x 2))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(log.f64 (+.f64 x (-.f64 x (/.f64 -1/2 x))))
(log.f64 (+.f64 x (-.f64 (/.f64 -1/2 x) x)))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)) 1)
(+.f64 (-.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 3))) 1) x)
Outputs
(log.f64 (/.f64 -1/2 x))
(+.f64 (*.f64 (*.f64 x x) (*.f64 x -1/6)) x)
(log.f64 (+.f64 x (-.f64 x (/.f64 -1/2 x))))
Calls

1 calls:

24.0ms
x
Results
ErrorSegmentsBranch
0.5b3x
Compiler

Compiled 107 to 75 computations (29.9% saved)

bsearch258.0ms (2.6%)

Algorithm
2×binary-search
Steps
TimeLeftRight
177.0ms
0.02162174461487409
18.620380226643597
80.0ms
-1582.755949319897
-0.02733520144373868
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes44.0ms (0.4%)

Counts
11 → 3
Calls
Call 1
Inputs
x
x
(-.f64 (+.f64 1 x) 1)
(/.f64 (*.f64 (+.f64 x 2) x) (+.f64 x 2))
(+.f64 (*.f64 (*.f64 x x) (*.f64 x -1/6)) x)
(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x)))
(*.f64 (*.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2)))
(log.f64 (/.f64 -1/2 x))
(log.f64 (/.f64 -1/2 x))
(log.f64 (*.f64 x 2))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
Outputs
(log.f64 (/.f64 -1/2 x))
(+.f64 (*.f64 (*.f64 x x) (*.f64 x -1/6)) x)
(log.f64 (*.f64 x 2))
Calls

1 calls:

41.0ms
x
Results
ErrorSegmentsBranch
0.6b3x
Compiler

Compiled 69 to 47 computations (31.9% saved)

bsearch254.0ms (2.6%)

Algorithm
2×binary-search
Steps
TimeLeftRight
51.0ms
0.02162174461487409
18.620380226643597
203.0ms
-1582.755949319897
-0.02733520144373868
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes33.0ms (0.3%)

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

1 calls:

31.0ms
x
Results
ErrorSegmentsBranch
13.8b2x
Compiler

Compiled 58 to 39 computations (32.8% saved)

bsearch25.0ms (0.3%)

Algorithm
1×binary-search
Steps
TimeLeftRight
25.0ms
-1582.755949319897
-0.02733520144373868
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes9.0ms (0.1%)

Accuracy

Total -30.8b remaining (-102.9%)

Threshold costs -30.8b (-102.9%)

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

1 calls:

5.0ms
x
Results
ErrorSegmentsBranch
29.9b1x
Compiler

Compiled 50 to 33 computations (34% saved)

simplify16.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
8×+-commutative_binary64
5×*-commutative_binary64
2×sub-neg_binary64
1×distribute-neg-frac_binary64
1×*-rgt-identity_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044250
159250
265250
367250
468250
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 x -435064642552217/274877906944) (*.f64 (+.f64 (/.f64 -1/4 (*.f64 x x)) (log.f64 (/.f64 -1/2 x))) 1) (if (<=.f64 x 6662260222836249/36893488147419103232) (+.f64 (*.f64 (*.f64 x x) (*.f64 x -1/6)) x) (+.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1) 1)))
(if (<=.f64 x -435064642552217/274877906944) (*.f64 (+.f64 (/.f64 -1/4 (*.f64 x x)) (log.f64 (/.f64 -1/2 x))) 1) (if (<=.f64 x 6662260222836249/36893488147419103232) (+.f64 (*.f64 (*.f64 x x) (*.f64 x -1/6)) x) (log.f64 (+.f64 x (hypot.f64 1 x)))))
(if (<=.f64 x -435064642552217/274877906944) (*.f64 (+.f64 (/.f64 -1/4 (*.f64 x x)) (log.f64 (/.f64 -1/2 x))) 1) (if (<=.f64 x 6232043583401407/288230376151711744) (+.f64 (*.f64 (*.f64 x x) (*.f64 x -1/6)) x) (log.f64 (+.f64 x (-.f64 x (/.f64 -1/2 x))))))
(if (<=.f64 x -435064642552217/274877906944) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 6232043583401407/288230376151711744) (+.f64 (*.f64 (*.f64 x x) (*.f64 x -1/6)) x) (log.f64 (+.f64 x (-.f64 x (/.f64 -1/2 x))))))
(if (<=.f64 x -435064642552217/274877906944) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 6232043583401407/288230376151711744) (+.f64 (*.f64 (*.f64 x x) (*.f64 x -1/6)) x) (log.f64 (*.f64 x 2))))
(if (<=.f64 x -435064642552217/274877906944) (log.f64 (/.f64 -1/2 x)) x)
x
Outputs
(if (<=.f64 x -435064642552217/274877906944) (*.f64 (+.f64 (/.f64 -1/4 (*.f64 x x)) (log.f64 (/.f64 -1/2 x))) 1) (if (<=.f64 x 6662260222836249/36893488147419103232) (+.f64 (*.f64 (*.f64 x x) (*.f64 x -1/6)) x) (+.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1) 1)))
(if (<=.f64 x -435064642552217/274877906944) (+.f64 (/.f64 -1/4 (*.f64 x x)) (log.f64 (/.f64 -1/2 x))) (if (<=.f64 x 6662260222836249/36893488147419103232) (+.f64 x (*.f64 (*.f64 x x) (*.f64 x -1/6))) (+.f64 1 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1))))
(if (<=.f64 x -435064642552217/274877906944) (*.f64 (+.f64 (/.f64 -1/4 (*.f64 x x)) (log.f64 (/.f64 -1/2 x))) 1) (if (<=.f64 x 6662260222836249/36893488147419103232) (+.f64 (*.f64 (*.f64 x x) (*.f64 x -1/6)) x) (log.f64 (+.f64 x (hypot.f64 1 x)))))
(if (<=.f64 x -435064642552217/274877906944) (+.f64 (/.f64 -1/4 (*.f64 x x)) (log.f64 (/.f64 -1/2 x))) (if (<=.f64 x 6662260222836249/36893488147419103232) (+.f64 x (*.f64 (*.f64 x x) (*.f64 x -1/6))) (log.f64 (+.f64 x (hypot.f64 1 x)))))
(if (<=.f64 x -435064642552217/274877906944) (*.f64 (+.f64 (/.f64 -1/4 (*.f64 x x)) (log.f64 (/.f64 -1/2 x))) 1) (if (<=.f64 x 6232043583401407/288230376151711744) (+.f64 (*.f64 (*.f64 x x) (*.f64 x -1/6)) x) (log.f64 (+.f64 x (-.f64 x (/.f64 -1/2 x))))))
(if (<=.f64 x -435064642552217/274877906944) (+.f64 (/.f64 -1/4 (*.f64 x x)) (log.f64 (/.f64 -1/2 x))) (if (<=.f64 x 6232043583401407/288230376151711744) (+.f64 x (*.f64 (*.f64 x x) (*.f64 x -1/6))) (log.f64 (+.f64 x (-.f64 x (/.f64 -1/2 x))))))
(if (<=.f64 x -435064642552217/274877906944) (+.f64 (/.f64 -1/4 (*.f64 x x)) (log.f64 (/.f64 -1/2 x))) (if (<=.f64 x 6232043583401407/288230376151711744) (+.f64 x (*.f64 (*.f64 x x) (*.f64 x -1/6))) (log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))))))
(if (<=.f64 x -435064642552217/274877906944) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 6232043583401407/288230376151711744) (+.f64 (*.f64 (*.f64 x x) (*.f64 x -1/6)) x) (log.f64 (+.f64 x (-.f64 x (/.f64 -1/2 x))))))
(if (<=.f64 x -435064642552217/274877906944) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 6232043583401407/288230376151711744) (+.f64 x (*.f64 (*.f64 x x) (*.f64 x -1/6))) (log.f64 (+.f64 x (-.f64 x (/.f64 -1/2 x))))))
(if (<=.f64 x -435064642552217/274877906944) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 6232043583401407/288230376151711744) (+.f64 x (*.f64 (*.f64 x x) (*.f64 x -1/6))) (log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))))))
(if (<=.f64 x -435064642552217/274877906944) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 6232043583401407/288230376151711744) (+.f64 (*.f64 (*.f64 x x) (*.f64 x -1/6)) x) (log.f64 (*.f64 x 2))))
(if (<=.f64 x -435064642552217/274877906944) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 6232043583401407/288230376151711744) (+.f64 x (*.f64 (*.f64 x x) (*.f64 x -1/6))) (log.f64 (*.f64 x 2))))
(if (<=.f64 x -435064642552217/274877906944) (log.f64 (/.f64 -1/2 x)) x)
x
Compiler

Compiled 176 to 117 computations (33.5% saved)

soundness160.0ms (1.6%)

Algorithm
4×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: 1 (0.0ms)

IterNodesCost
0812
1139
2149
0110560
1332540
2882537
32574537
47619537
0812
1139
2149
0812
1139
2149
Stop Event
1×saturated
1×saturated
1×node limit
1×saturated
Compiler

Compiled 221 to 176 computations (20.4% saved)

end162.0ms (1.7%)

Compiler

Compiled 170 to 107 computations (37.1% saved)

Profiling

Loading profile data...