Details

Time bar (total: 5.3s)

analyze112.0ms (2.1%)

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

Compiled 11 to 8 computations (27.3% saved)

sample3.5s (66.3%)

Results
1.7s2584×body1024valid
849.0ms1248×body2048valid
504.0ms3127×body256valid
467.0ms1259×body512valid
40.0ms38×body4096valid
Bogosity

preprocess21.0ms (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)

simplify6.0ms (0.1%)

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

Useful iterations: 1 (0.0ms)

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

eval1.0ms (0%)

Compiler

Compiled 16 to 11 computations (31.3% saved)

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New112
Fresh101
Picked000
Done000
Total213
Error
43.5b
Counts
3 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
▶43.5b
(log.f64 (+.f64 x (hypot.f64 1 x)))
Compiler

Compiled 7 to 5 computations (28.6% saved)

localize11.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(hypot.f64 1 x)
✓0.7b
(+.f64 x (hypot.f64 1 x))
✓2.8b
(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))

rewrite64.0ms (1.2%)

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)))))))

simplify64.0ms (1.2%)

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))))

eval52.0ms (1%)

Compiler

Compiled 1814 to 1362 computations (24.9% saved)

prune35.0ms (0.7%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1316137
Fresh000
Picked011
Done000
Total1317138
Error
0b
Counts
138 → 7
Alt Table
Click to see full alt table
StatusErrorProgram
▶31.4b
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) x))
▶31.7b
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
▶48.7b
(log.f64 (/.f64 -1/2 x))
✓43.5b
(log.f64 (+.f64 x (hypot.f64 1 x)))
▶46.4b
(log.f64 (+.f64 x (-.f64 x (/.f64 -1/2 x))))
▶47.0b
(log.f64 (*.f64 x 2))
30.4b
x
Compiler

Compiled 91 to 68 computations (25.3% saved)

localize22.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (*.f64 3/40 (pow.f64 x 5)) x)
✓0.1b
(*.f64 3/40 (pow.f64 x 5))
✓0.3b
(*.f64 -1/6 (pow.f64 x 3))
✓19.4b
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) x))
Compiler

Compiled 42 to 32 computations (23.8% saved)

series6.0ms (0.1%)

Counts
4 → 9
Calls

12 calls:

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

rewrite112.0ms (2.1%)

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

Useful iterations: 0 (0.0ms)

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

simplify167.0ms (3.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01266
13066
26066
313166
426066
571366
6107766
7171966
8182766
9198966
10220266
11253266
12298866
13358666
14433866
15527066
16578066
17627266
18667066
19699066
20715266
Stop Event
1×node limit
Counts
184 → 181
Calls
Call 1
Inputs
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(*.f64 3/40 (pow.f64 x 5))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 3/40 (pow.f64 x 5)))
(*.f64 3/40 (pow.f64 x 5))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 3/40 (pow.f64 x 5)))
x
(*.f64 3/40 (pow.f64 x 5))
(*.f64 3/40 (pow.f64 x 5))
Outputs
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(*.f64 3/40 (pow.f64 x 5))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 3/40 (pow.f64 x 5)))
(fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))
(*.f64 3/40 (pow.f64 x 5))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 3/40 (pow.f64 x 5)))
(fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))
x
(*.f64 3/40 (pow.f64 x 5))
(*.f64 3/40 (pow.f64 x 5))

localize5.0ms (0.1%)

Compiler

Compiled 10 to 7 computations (30% saved)

localize5.0ms (0.1%)

Compiler

Compiled 10 to 7 computations (30% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
0.3b
(*.f64 -1/6 (pow.f64 x 3))
Compiler

Compiled 19 to 14 computations (26.3% saved)

series1.0ms (0%)

Counts
1 → 3
Calls

3 calls:

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

rewrite65.0ms (1.2%)

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

Useful iterations: 0 (0.0ms)

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

simplify172.0ms (3.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0615
11515
23215
35615
411415
532615
6118015
7186915
8195615
9208915
10224715
11248615
12280815
13323115
14373315
15433515
16505715
17537815
18566415
19588615
20606415
21614415
22708415
Stop Event
1×node limit
Counts
38 → 37
Calls
Call 1
Inputs
x
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
Outputs
x
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))

localize12.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiled 26 to 16 computations (38.5% saved)

series3.0ms (0.1%)

Counts
2 → 24
Calls

6 calls:

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

rewrite76.0ms (1.4%)

Algorithm
1×batch-egg-rewrite
Rules
936×pow1_binary64
882×add-log-exp_binary64
881×log1p-expm1-u_binary64
881×expm1-log1p-u_binary64
866×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0617
115017
2232317
Stop Event
1×node limit
Counts
2 → 73
Calls
Call 1
Inputs
(+.f64 x (-.f64 x (/.f64 -1/2 x)))
(-.f64 x (/.f64 -1/2 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 x (-.f64 (/.f64 -1/2 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x x) (/.f64 -1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 x (+.f64 x (/.f64 1/2 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x x) (+.f64 (-.f64 x x) (/.f64 -1/2 x))) (/.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2) (+.f64 (-.f64 x x) (/.f64 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x (+.f64 x (/.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))) (pow.f64 (cbrt.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))) 2) (cbrt.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))) (sqrt.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 1/2 x)) 3)) (/.f64 1 (fma.f64 x x (*.f64 (+.f64 x (/.f64 1/2 x)) (-.f64 (+.f64 x (/.f64 1/2 x)) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x (/.f64 1/2 x)) 2)) (/.f64 1 (+.f64 (-.f64 x x) (/.f64 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (*.f64 (+.f64 x (/.f64 1/2 x)) (-.f64 (+.f64 x (/.f64 1/2 x)) x))) (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 1/2 x)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.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 /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 1/2 x)) 3)) (fma.f64 x x (*.f64 (+.f64 x (/.f64 1/2 x)) (-.f64 (+.f64 x (/.f64 1/2 x)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 1/2 x)) 3)) (+.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2) (-.f64 (*.f64 x x) (*.f64 x (+.f64 x (/.f64 1/2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x (/.f64 1/2 x)) 2)) (+.f64 (-.f64 x x) (/.f64 -1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 1/2 x)) 3))) (neg.f64 (fma.f64 x x (*.f64 (+.f64 x (/.f64 1/2 x)) (-.f64 (+.f64 x (/.f64 1/2 x)) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x (/.f64 1/2 x)) 2))) (neg.f64 (+.f64 (-.f64 x x) (/.f64 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 x x) 3) (/.f64 -1/8 (pow.f64 x 3))) (+.f64 (*.f64 (+.f64 x x) (+.f64 x x)) (+.f64 (pow.f64 (/.f64 -1/2 x) 2) (*.f64 (+.f64 x x) (/.f64 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 x x) (+.f64 x x)) (pow.f64 (/.f64 -1/2 x) 2)) (+.f64 (+.f64 x x) (/.f64 -1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2) (*.f64 x x)) (-.f64 (+.f64 x (/.f64 1/2 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (+.f64 x (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 x (/.f64 1/2 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 1/2 x))) 2) (cbrt.f64 (+.f64 x (/.f64 1/2 x))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (+.f64 x (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 x (/.f64 1/2 x))) (sqrt.f64 (+.f64 x (/.f64 1/2 x))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 x (/.f64 1/2 x)))))))
((#(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 (pow.f64 x -1)) -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)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 -1/2 x))) (sqrt.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 (+.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 x x (*.f64 (/.f64 -1/2 x) (+.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 1 (+.f64 x (/.f64 -1/2 x))))))) (#(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 1 (/.f64 (fma.f64 x x (*.f64 (/.f64 -1/2 x) (+.f64 x (/.f64 -1/2 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) (pow.f64 (/.f64 -1/2 x) 2))))))) (#(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 (/.f64 -1/2 x) (+.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 /.f64 (neg.f64 (-.f64 (pow.f64 x 3) (/.f64 -1/8 (pow.f64 x 3)))) (neg.f64 (fma.f64 x x (*.f64 (/.f64 -1/2 x) (+.f64 x (/.f64 -1/2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 -1/2 x) 2))) (neg.f64 (+.f64 x (/.f64 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 1/2 x) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (/.f64 1/2 x) (/.f64 1/2 x)) (*.f64 x (/.f64 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 (/.f64 1/2 x) (/.f64 1/2 x))) (-.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 (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 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 cbrt.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x (/.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x (/.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 x (/.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (/.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (/.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 1/2 x))))))

simplify10.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
6×fma-def_binary64
2×+-commutative_binary64
2×*-commutative_binary64
1×associate-*r/_binary64
1×1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
011153
120153
225153
Stop Event
1×saturated
Counts
97 → 80
Calls
Call 1
Inputs
(/.f64 1/2 x)
(+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(*.f64 2 x)
(+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(*.f64 2 x)
(+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(/.f64 1/2 x)
(+.f64 (*.f64 1/2 (/.f64 1 x)) x)
(+.f64 (*.f64 1/2 (/.f64 1 x)) x)
(+.f64 (*.f64 1/2 (/.f64 1 x)) x)
x
(+.f64 (*.f64 1/2 (/.f64 1 x)) x)
(+.f64 (*.f64 1/2 (/.f64 1 x)) x)
(+.f64 (*.f64 1/2 (/.f64 1 x)) x)
x
(+.f64 (*.f64 1/2 (/.f64 1 x)) x)
(+.f64 (*.f64 1/2 (/.f64 1 x)) x)
(+.f64 (*.f64 1/2 (/.f64 1 x)) x)
Outputs
(/.f64 1/2 x)
(+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(fma.f64 2 x (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 1/2 x))
(+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(fma.f64 2 x (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 1/2 x))
(+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(fma.f64 2 x (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 1/2 x))
(*.f64 2 x)
(*.f64 x 2)
(+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(fma.f64 2 x (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 1/2 x))
(+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(fma.f64 2 x (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 1/2 x))
(+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(fma.f64 2 x (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 1/2 x))
(*.f64 2 x)
(*.f64 x 2)
(+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(fma.f64 2 x (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 1/2 x))
(+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(fma.f64 2 x (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 1/2 x))
(+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(fma.f64 2 x (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 1/2 x))
(/.f64 1/2 x)
(+.f64 (*.f64 1/2 (/.f64 1 x)) x)
(+.f64 x (/.f64 1/2 x))
(+.f64 (*.f64 1/2 (/.f64 1 x)) x)
(+.f64 x (/.f64 1/2 x))
(+.f64 (*.f64 1/2 (/.f64 1 x)) x)
(+.f64 x (/.f64 1/2 x))
x
(+.f64 (*.f64 1/2 (/.f64 1 x)) x)
(+.f64 x (/.f64 1/2 x))
(+.f64 (*.f64 1/2 (/.f64 1 x)) x)
(+.f64 x (/.f64 1/2 x))
(+.f64 (*.f64 1/2 (/.f64 1 x)) x)
(+.f64 x (/.f64 1/2 x))
x
(+.f64 (*.f64 1/2 (/.f64 1 x)) x)
(+.f64 x (/.f64 1/2 x))
(+.f64 (*.f64 1/2 (/.f64 1 x)) x)
(+.f64 x (/.f64 1/2 x))
(+.f64 (*.f64 1/2 (/.f64 1 x)) x)
(+.f64 x (/.f64 1/2 x))

eval147.0ms (2.8%)

Compiler

Compiled 5277 to 3918 computations (25.8% saved)

prune55.0ms (1%)

Pruning

7 alts after pruning (1 fresh and 6 done)

PrunedKeptTotal
New3141315
Fresh101
Picked011
Done055
Total3157322
Error
0b
Counts
322 → 7
Alt Table
Click to see full alt table
StatusErrorProgram
✓31.4b
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) x))
✓31.7b
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
✓48.7b
(log.f64 (/.f64 -1/2 x))
✓43.5b
(log.f64 (+.f64 x (hypot.f64 1 x)))
✓46.4b
(log.f64 (+.f64 x (-.f64 x (/.f64 -1/2 x))))
✓47.0b
(log.f64 (*.f64 x 2))
30.4b
x
Compiler

Compiled 50 to 37 computations (26% saved)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune4.0ms (0.1%)

Pruning

7 alts after pruning (1 fresh and 6 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done066
Total077
Error
0b
Counts
7 → 7
Alt Table
Click to see full alt table
StatusErrorProgram
✓31.4b
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) x))
✓31.7b
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
✓48.7b
(log.f64 (/.f64 -1/2 x))
✓43.5b
(log.f64 (+.f64 x (hypot.f64 1 x)))
✓46.4b
(log.f64 (+.f64 x (-.f64 x (/.f64 -1/2 x))))
✓47.0b
(log.f64 (*.f64 x 2))
30.4b
x
Compiler

Compiled 50 to 37 computations (26% saved)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune10.0ms (0.2%)

Pruning

7 alts after pruning (1 fresh and 6 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done066
Total077
Error
0b
Counts
7 → 7
Alt Table
Click to see full alt table
StatusErrorProgram
✓31.4b
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) x))
✓31.7b
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
✓48.7b
(log.f64 (/.f64 -1/2 x))
✓43.5b
(log.f64 (+.f64 x (hypot.f64 1 x)))
✓46.4b
(log.f64 (+.f64 x (-.f64 x (/.f64 -1/2 x))))
✓47.0b
(log.f64 (*.f64 x 2))
30.4b
x
Compiler

Compiled 50 to 37 computations (26% saved)

regimes51.0ms (1%)

Counts
9 → 3
Calls
Call 1
Inputs
x
x
(log.f64 (*.f64 x 2))
(log.f64 (/.f64 -1/2 x))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(log.f64 (+.f64 x (-.f64 x (/.f64 -1/2 x))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) x))
Outputs
(log.f64 (/.f64 -1/2 x))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) x))
(log.f64 (+.f64 x (hypot.f64 1 x)))
Calls

3 calls:

30.0ms
x
9.0ms
(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))
9.0ms
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
Results
ErrorSegmentsBranch
0b3x
6.8b3(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
6.8b3(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))
Compiler

Compiled 75 to 51 computations (32% saved)

bsearch55.0ms (1%)

Algorithm
2×binary-search
Steps
TimeLeftRight
22.0ms
0.00020224963872625962
3.519227836421192
33.0ms
-3570739280.310989
-3.8039625618187454e-6
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes42.0ms (0.8%)

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

3 calls:

22.0ms
x
9.0ms
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
8.0ms
(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))
Results
ErrorSegmentsBranch
0.0b3x
6.8b3(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
6.8b3(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))
Compiler

Compiled 62 to 41 computations (33.9% saved)

bsearch56.0ms (1%)

Algorithm
2×binary-search
Steps
TimeLeftRight
22.0ms
0.00020224963872625962
3.519227836421192
34.0ms
-3570739280.310989
-3.8039625618187454e-6
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes15.0ms (0.3%)

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

1 calls:

14.0ms
x
Results
ErrorSegmentsBranch
0.2b3x
Compiler

Compiled 28 to 18 computations (35.7% saved)

bsearch47.0ms (0.9%)

Algorithm
2×binary-search
Steps
TimeLeftRight
25.0ms
0.00020224963872625962
3.519227836421192
22.0ms
-3570739280.310989
-3.8039625618187454e-6
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes14.0ms (0.3%)

Counts
5 → 3
Calls
Call 1
Inputs
x
x
(log.f64 (*.f64 x 2))
(log.f64 (/.f64 -1/2 x))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
Outputs
(log.f64 (/.f64 -1/2 x))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(log.f64 (*.f64 x 2))
Calls

1 calls:

13.0ms
x
Results
ErrorSegmentsBranch
0.2b3x
Compiler

Compiled 20 to 13 computations (35% saved)

bsearch44.0ms (0.8%)

Algorithm
2×binary-search
Steps
TimeLeftRight
22.0ms
0.00020224963872625962
3.519227836421192
22.0ms
-3570739280.310989
-3.8039625618187454e-6
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes13.0ms (0.2%)

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

1 calls:

12.0ms
x
Results
ErrorSegmentsBranch
0.5b3x
Compiler

Compiled 13 to 8 computations (38.5% saved)

bsearch50.0ms (0.9%)

Algorithm
2×binary-search
Steps
TimeLeftRight
25.0ms
0.00020224963872625962
3.519227836421192
25.0ms
-3570739280.310989
-3.8039625618187454e-6
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes7.0ms (0.1%)

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

1 calls:

6.0ms
x
Results
ErrorSegmentsBranch
14.7b2x
Compiler

Compiled 9 to 5 computations (44.4% saved)

bsearch29.0ms (0.5%)

Algorithm
1×binary-search
Steps
TimeLeftRight
28.0ms
0.00020224963872625962
3.519227836421192
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes4.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

Counts
2 → 1
Calls
Call 1
Inputs
x
x
Outputs
x
Calls

1 calls:

3.0ms
x
Results
ErrorSegmentsBranch
30.4b1x
Compiler

Compiled 5 to 2 computations (60% saved)

simplify11.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
7×+-commutative_binary64
4×*-commutative_binary64
2×sub-neg_binary64
1×distribute-neg-frac_binary64
1×neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
041196
153196
260196
362196
463196
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 x -7488383023182751/2097152) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 7461694649167055/36893488147419103232) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) x)) (log.f64 (+.f64 x (hypot.f64 1 x)))))
(if (<=.f64 x -7488383023182751/2097152) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 7461694649167055/36893488147419103232) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) (log.f64 (+.f64 x (hypot.f64 1 x)))))
(if (<=.f64 x -7488383023182751/2097152) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 7461694649167055/36893488147419103232) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) (log.f64 (+.f64 x (-.f64 x (/.f64 -1/2 x))))))
(if (<=.f64 x -7488383023182751/2097152) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 7461694649167055/36893488147419103232) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) (log.f64 (*.f64 x 2))))
(if (<=.f64 x -7488383023182751/2097152) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 7461694649167055/36893488147419103232) x (log.f64 (*.f64 x 2))))
(if (<=.f64 x 7461694649167055/36893488147419103232) x (log.f64 (*.f64 x 2)))
x
Outputs
(if (<=.f64 x -7488383023182751/2097152) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 7461694649167055/36893488147419103232) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) x)) (log.f64 (+.f64 x (hypot.f64 1 x)))))
(if (<=.f64 x -7488383023182751/2097152) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 7461694649167055/36893488147419103232) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 x (*.f64 3/40 (pow.f64 x 5)))) (log.f64 (+.f64 x (hypot.f64 1 x)))))
(if (<=.f64 x -7488383023182751/2097152) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 7461694649167055/36893488147419103232) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) (log.f64 (+.f64 x (hypot.f64 1 x)))))
(if (<=.f64 x -7488383023182751/2097152) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 7461694649167055/36893488147419103232) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (log.f64 (+.f64 x (hypot.f64 1 x)))))
(if (<=.f64 x -7488383023182751/2097152) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 7461694649167055/36893488147419103232) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) (log.f64 (+.f64 x (-.f64 x (/.f64 -1/2 x))))))
(if (<=.f64 x -7488383023182751/2097152) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 7461694649167055/36893488147419103232) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (log.f64 (+.f64 x (-.f64 x (/.f64 -1/2 x))))))
(if (<=.f64 x -7488383023182751/2097152) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 7461694649167055/36893488147419103232) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))))))
(if (<=.f64 x -7488383023182751/2097152) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 7461694649167055/36893488147419103232) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) (log.f64 (*.f64 x 2))))
(if (<=.f64 x -7488383023182751/2097152) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 7461694649167055/36893488147419103232) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (log.f64 (*.f64 x 2))))
(if (<=.f64 x -7488383023182751/2097152) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 7461694649167055/36893488147419103232) x (log.f64 (*.f64 x 2))))
(if (<=.f64 x 7461694649167055/36893488147419103232) x (log.f64 (*.f64 x 2)))
x
Compiler

Compiled 140 to 102 computations (27.1% saved)

soundness25.0ms (0.5%)

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

Useful iterations: 1 (0.0ms)

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

Compiled 81 to 57 computations (29.6% saved)

end84.0ms (1.6%)

Compiler

Compiled 134 to 96 computations (28.4% saved)

Profiling

Loading profile data...