Details

Time bar (total: 9.0s)

analyze110.0ms (1.2%)

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)

sample3.0s (33.2%)

Results
1.4s2608×body1024valid
740.0ms1287×body2048valid
407.0ms3055×body256valid
365.0ms1259×body512valid
32.0ms47×body4096valid
Bogosity

preprocess15.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

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

Compiled 11 to 8 computations (27.3% saved)

simplify10.0ms (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
45.9b
Counts
3 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
▶45.9b
(log.f64 (+.f64 x (hypot.f64 1 x)))
Compiler

Compiled 7 to 5 computations (28.6% saved)

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.5b
(+.f64 x (hypot.f64 1 x))
✓1.8b
(log.f64 (+.f64 x (hypot.f64 1 x)))
Compiler

Compiled 17 to 11 computations (35.3% saved)

series6.0ms (0.1%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
2.0ms
x
@inf
(log.f64 (+.f64 x (hypot.f64 1 x)))
1.0ms
x
@0
(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 (0.7%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0616
112116
2155916
Stop Event
1×node limit
Counts
2 → 56
Calls
Call 1
Inputs
(log.f64 (+.f64 x (hypot.f64 1 x)))
(+.f64 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)))))

simplify65.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
915×fma-def_binary64
723×sub-neg_binary64
455×associate-/r*_binary64
344×associate-+r+_binary64
288×associate-*l*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
092402
1268389
2725389
32145385
47312385
Stop Event
1×node limit
Counts
80 → 100
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))))
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 (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 (log.f64 x) (+.f64 (log.f64 2) (-.f64 (/.f64 1/4 (*.f64 x 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 (log.f64 x) (+.f64 (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6))) (-.f64 (log.f64 2) (/.f64 3/32 (pow.f64 x 4)))))
(+.f64 (log.f64 x) (+.f64 (+.f64 (log.f64 2) (/.f64 1/4 (*.f64 x x))) (-.f64 (/.f64 5/96 (pow.f64 x 6)) (/.f64 3/32 (pow.f64 x 4)))))
(+.f64 (+.f64 (log.f64 x) (/.f64 1/4 (*.f64 x x))) (+.f64 (log.f64 2) (+.f64 (/.f64 5/96 (pow.f64 x 6)) (/.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 (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) (*.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 (log.f64 (/.f64 -1 x)) (/.f64 -1/4 (*.f64 x x)))))
(+.f64 (/.f64 3/32 (pow.f64 x 4)) (+.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) (*.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 (log.f64 (/.f64 -1 x)) (-.f64 (+.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 3/32 (pow.f64 x 4)) (+.f64 (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 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (-.f64 (-.f64 (log.f64 1/2) (/.f64 5/96 (pow.f64 x 6))) (/.f64 1/4 (*.f64 x x)))))
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 1 (fma.f64 (*.f64 x x) 1/2 x))
(+.f64 x (fma.f64 (*.f64 x x) 1/2 1))
(fma.f64 (fma.f64 x 1/2 1) x 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 1 (fma.f64 (pow.f64 x 4) -1/8 (fma.f64 (*.f64 x x) 1/2 x)))
(fma.f64 (fma.f64 x 1/2 1) x (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 (+.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 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/16 (pow.f64 x 5))) (/.f64 -1/2 x))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 -1/2 x) (/.f64 -1/16 (pow.f64 x 5))))
(+.f64 (/.f64 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 (/.f64 1/8 (pow.f64 x 3)) (/.f64 5/128 (pow.f64 x 7))) (-.f64 (/.f64 -1/2 x) (/.f64 1/16 (pow.f64 x 5))))

eval72.0ms (0.8%)

Compiler

Compiled 1350 to 1012 computations (25% saved)

prune20.0ms (0.2%)

Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New928100
Fresh000
Picked011
Done000
Total929101
Error
0.0b
Counts
101 → 9
Alt Table
Click to see full alt table
StatusErrorProgram
▶31.2b
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) x))
▶60.9b
(log.f64 (/.f64 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x)) (-.f64 (hypot.f64 1 x) x)))
45.9b
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
▶31.6b
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
30.2b
x
✓45.9b
(log.f64 (+.f64 x (hypot.f64 1 x)))
▶48.6b
(log.f64 (*.f64 x 2))
31.4b
(+.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)))
▶47.4b
(log.f64 (/.f64 -1/2 x))
Compiler

Compiled 179 to 132 computations (26.3% saved)

localize21.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 3/40 (pow.f64 x 5))
✓0.1b
(*.f64 -1/6 (pow.f64 x 3))
✓20.4b
(+.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)

series5.0ms (0.1%)

Counts
3 → 6
Calls

9 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
@0
(*.f64 3/40 (pow.f64 x 5))
0.0ms
x
@inf
(*.f64 3/40 (pow.f64 x 5))

rewrite81.0ms (0.9%)

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
01229
127929
2351829
Stop Event
1×node limit
Counts
3 → 121
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))
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 #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 (fma.f64 3/40 (pow.f64 x 5) x))) (-.f64 (*.f64 (pow.f64 x 6) 1/36) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2))))))) (#(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)) (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 (fma.f64 (pow.f64 x 9) -1/216 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3)) (+.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2) (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 -1/6 (*.f64 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))))))))) (#(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)) (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 (neg.f64 (fma.f64 (pow.f64 x 9) -1/216 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3))) (neg.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))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2))) (neg.f64 (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 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) 2) (-.f64 (*.f64 x x) (*.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2) (*.f64 (pow.f64 x 6) 1/36)) (-.f64 (fma.f64 3/40 (pow.f64 x 5) x) (*.f64 -1/6 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) 2) (*.f64 x x)) (-.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.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 pow.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.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 pow.f64 (/.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))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 (fma.f64 3/40 (pow.f64 x 5) x))) (-.f64 (*.f64 (pow.f64 x 6) 1/36) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.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 log.f64 (exp.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 log.f64 (+.f64 1 (expm1.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 log.f64 (*.f64 (exp.f64 x) (exp.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 x) (*.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -1/6) (pow.f64 (exp.f64 3/40) (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (*.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -1/6) (pow.f64 (exp.f64 3/40) (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3)))) (exp.f64 (fma.f64 3/40 (pow.f64 x 5) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -1/6) (+.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 (*.f64 -1/6 (pow.f64 x 3)))) (+.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 (fma.f64 3/40 (pow.f64 x 5) x))) (pow.f64 (exp.f64 (pow.f64 x 3)) -1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (fma.f64 3/40 (pow.f64 x 5) x)) (+.f64 1 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (fma.f64 3/40 (pow.f64 x 5) x))) (+.f64 1 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (*.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -1/6) (pow.f64 (exp.f64 3/40) (pow.f64 x 5))) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (*.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -1/6) (pow.f64 (exp.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 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.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 log1p.f64 (expm1.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 exp.f64 (log.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 exp.f64 (*.f64 (log.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 fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 (*.f64 x x) -1/6) (fma.f64 3/40 (pow.f64 x 5) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 3) -1/6 (fma.f64 3/40 (pow.f64 x 5) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/6 (pow.f64 x 3)) 1 (fma.f64 3/40 (pow.f64 x 5) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 3/40 (pow.f64 x 5) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 5) 3/40 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 3/40 (pow.f64 x 5)) 1 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 3/40 (pow.f64 x 5) x) 1 (*.f64 -1/6 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 -1/6 (pow.f64 x 3)) (fma.f64 3/40 (pow.f64 x 5) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 3/40 (pow.f64 x 5)) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 3/40 (pow.f64 x 5) 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) (*.f64 3/40 (pow.f64 x 5))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) (*.f64 x -1/6) (fma.f64 3/40 (pow.f64 x 5) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.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) (*.f64 -1/6 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.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)) (*.f64 -1/6 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x 10)) (*.f64 (pow.f64 (cbrt.f64 x) 5) 3/40) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (cbrt.f64 -1/6)) (pow.f64 (*.f64 x (cbrt.f64 -1/6)) 2) (fma.f64 3/40 (pow.f64 x 5) 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)) (fma.f64 3/40 (pow.f64 x 5) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (fma.f64 -1/6 (pow.f64 x 3) (*.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) (fma.f64 -1/6 (pow.f64 x 3) (*.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)) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))))))) (#(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))) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 3/40 (pow.f64 x 5) x)) (sqrt.f64 (fma.f64 3/40 (pow.f64 x 5) 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)) (fma.f64 3/40 (pow.f64 x 5) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (fma.f64 -1/6 (pow.f64 x 3) (*.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)) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 (pow.f64 x 15) 27/64000 (pow.f64 x 3)) (/.f64 1 (fma.f64 x (-.f64 x (*.f64 3/40 (pow.f64 x 5))) (*.f64 (pow.f64 x 10) 9/1600))) (*.f64 -1/6 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 (pow.f64 x 10) 9/1600 (neg.f64 (*.f64 x x))) (/.f64 1 (-.f64 (*.f64 3/40 (pow.f64 x 5)) x)) (*.f64 -1/6 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 3/2) (*.f64 (pow.f64 x 3/2) -1/6) (fma.f64 3/40 (pow.f64 x 5) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 5/2) (*.f64 (pow.f64 x 5/2) 3/40) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) 1 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))) 2) (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))) (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/6 x) (*.f64 x x) (fma.f64 3/40 (pow.f64 x 5) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/6 (*.f64 x x)) x (fma.f64 3/40 (pow.f64 x 5) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/6 (pow.f64 x 3/2)) (pow.f64 x 3/2) (fma.f64 3/40 (pow.f64 x 5) 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) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 3/40 (pow.f64 x 5/2)) (pow.f64 x 5/2) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 -1/6 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -1/6)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -1/6))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 x 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 6) 1/36) 1/2)))) (#(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 x 9) -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 (pow.f64 x 3)) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 9) -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 (fma.f64 3 (log.f64 x) (log1p.f64 -7/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (fma.f64 3 (log.f64 x) (log1p.f64 -7/6)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 3/40 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 3/40) (pow.f64 x 5))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 3/40) (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 3/40) (pow.f64 x 5)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 3/40) (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 3/40 (pow.f64 x 5)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 3/40 (pow.f64 x 5)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 10) 9/1600) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 3/40 (pow.f64 x 5))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 3/40) (pow.f64 x 5/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 15) 27/64000) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 10) 9/1600))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 3/40) (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 3/40 (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 15) 27/64000))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 3/40 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 3/40 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 3/40 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 3/40 (pow.f64 x 5))) 1))))))

simplify185.0ms (2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01251
13051
26051
313151
426051
571351
6107751
7171951
8182751
9198951
10220251
11253251
12298851
13358651
14433851
15527051
16578051
17627251
18667051
19699051
20715251
Stop Event
1×node limit
Counts
127 → 127
Calls
Call 1
Inputs
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(*.f64 3/40 (pow.f64 x 5))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 3/40 (pow.f64 x 5)))
(*.f64 3/40 (pow.f64 x 5))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 3/40 (pow.f64 x 5)))
Outputs
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(*.f64 3/40 (pow.f64 x 5))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 3/40 (pow.f64 x 5)))
(fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))
(*.f64 3/40 (pow.f64 x 5))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 3/40 (pow.f64 x 5)))
(fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))

localize6.0ms (0.1%)

Compiler

Compiled 10 to 7 computations (30% saved)

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 10 to 7 computations (30% saved)

series56.0ms (0.6%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
25.0ms
x
@-inf
(log.f64 (/.f64 -1/2 x))
25.0ms
x
@0
(log.f64 (/.f64 -1/2 x))
6.0ms
x
@inf
(log.f64 (/.f64 -1/2 x))

rewrite47.0ms (0.5%)

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

Useful iterations: 0 (0.0ms)

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

simplify29.0ms (0.3%)

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

Useful iterations: 1 (0.0ms)

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

localize10.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 19 to 14 computations (26.3% saved)

localize26.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x)) (-.f64 (hypot.f64 1 x) x))
✓0.7b
(-.f64 (hypot.f64 1 x) x)
✓1.8b
(log.f64 (/.f64 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x)) (-.f64 (hypot.f64 1 x) x)))
✓16.5b
(-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x))
Compiler

Compiled 59 to 28 computations (52.5% saved)

series5.0ms (0.1%)

Counts
4 → 48
Calls

12 calls:

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

rewrite123.0ms (1.4%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
01066
123624
2376624
Stop Event
1×node limit
Counts
4 → 254
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x))
(log.f64 (/.f64 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x)) (-.f64 (hypot.f64 1 x) x)))
(-.f64 (hypot.f64 1 x) x)
(/.f64 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x)) (-.f64 (hypot.f64 1 x) x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x . 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 -1) (log.f64 (/.f64 1 (neg.f64 (-.f64 (hypot.f64 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) -2)) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (/.f64 1 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)))) (log1p.f64 (fma.f64 x x (*.f64 x (+.f64 x (hypot.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (log.f64 (-.f64 (hypot.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (log.f64 (neg.f64 (neg.f64 (-.f64 (hypot.f64 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (log1p.f64 (fma.f64 x x (*.f64 x x))) 0) (log.f64 (*.f64 (-.f64 (hypot.f64 1 x) x) (fma.f64 x x (fma.f64 x x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 -1) (log.f64 (neg.f64 (-.f64 (hypot.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 6) (pow.f64 x 6))) (log.f64 (*.f64 (-.f64 (hypot.f64 1 x) x) (fma.f64 (*.f64 x x) (fma.f64 x x (fma.f64 x x 1)) (pow.f64 (hypot.f64 1 x) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (*.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 6) (pow.f64 x 6)) 1)) (log.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x x (fma.f64 x x 1)) (pow.f64 (hypot.f64 1 x) 4)) (-.f64 (hypot.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (*.f64 (*.f64 (fma.f64 x x (fma.f64 x x 1)) 1) 1)) (log.f64 (*.f64 (fma.f64 x x (fma.f64 x x 1)) (-.f64 (hypot.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (-.f64 (*.f64 (fma.f64 x x 1) (-.f64 (hypot.f64 1 x) x)) (*.f64 (-.f64 (hypot.f64 1 x) x) (*.f64 x x)))) (log.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) -2)) (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 x x 1) (+.f64 x (hypot.f64 1 x))) 3) (pow.f64 (*.f64 (*.f64 x x) (+.f64 x (hypot.f64 1 x))) 3))) (log.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 x x 1) (+.f64 x (hypot.f64 1 x))) 2) (+.f64 (pow.f64 (*.f64 (*.f64 x x) (+.f64 x (hypot.f64 1 x))) 2) (*.f64 (*.f64 (fma.f64 x x 1) (+.f64 x (hypot.f64 1 x))) (*.f64 (*.f64 x x) (+.f64 x (hypot.f64 1 x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (log.f64 (+.f64 (fma.f64 x x 1) (-.f64 (*.f64 x x) (*.f64 x (hypot.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 x x 1) (+.f64 x (hypot.f64 1 x))) 2) (pow.f64 (*.f64 (*.f64 x x) (+.f64 x (hypot.f64 1 x))) 2))) (log.f64 (fma.f64 (fma.f64 x x 1) (+.f64 x (hypot.f64 1 x)) (*.f64 (*.f64 x x) (+.f64 x (hypot.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (*.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 6) (pow.f64 x 6)) (+.f64 x (hypot.f64 1 x)))) (log.f64 (fma.f64 (*.f64 x x) (fma.f64 x x (fma.f64 x x 1)) (pow.f64 (hypot.f64 1 x) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (*.f64 (*.f64 (fma.f64 x x (fma.f64 x x 1)) 1) (+.f64 x (hypot.f64 1 x)))) (log1p.f64 (fma.f64 x x (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (log.f64 (-.f64 (hypot.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 0 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 3)) (+.f64 0 (+.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2) (*.f64 0 (log.f64 (-.f64 (hypot.f64 1 x) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 0 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2)) (log.f64 (-.f64 (hypot.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (log.f64 (neg.f64 (neg.f64 (-.f64 (hypot.f64 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (+.f64 x (hypot.f64 1 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (hypot.f64 1 x) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (hypot.f64 1 x) (*.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (hypot.f64 1 x) x) (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (hypot.f64 1 x) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (hypot.f64 1 x) x) (+.f64 (neg.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (hypot.f64 1 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 x) (hypot.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (hypot.f64 1 x) x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (hypot.f64 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (hypot.f64 1 x) x)))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (hypot.f64 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (hypot.f64 1 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (hypot.f64 1 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) (cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) -2)) (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x (+.f64 x (hypot.f64 1 x)) (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) -2)) 1) (/.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) 1) (/.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (hypot.f64 1 x) x) (-.f64 (pow.f64 (hypot.f64 1 x) 6) (pow.f64 x 6))) (fma.f64 (*.f64 x x) (fma.f64 x x (fma.f64 x x 1)) (pow.f64 (hypot.f64 1 x) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (hypot.f64 1 x) x) (*.f64 (fma.f64 x x (fma.f64 x x 1)) 1)) (fma.f64 x x (fma.f64 x x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (+.f64 x (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x (+.f64 x (hypot.f64 1 x)) (fma.f64 x x 1)) (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x (hypot.f64 1 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (hypot.f64 1 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (pow.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 (hypot.f64 1 x) x)) (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (hypot.f64 1 x) x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 6) (pow.f64 x 6)) (*.f64 (+.f64 x (hypot.f64 1 x)) (fma.f64 (*.f64 x x) (fma.f64 x x (fma.f64 x x 1)) (pow.f64 (hypot.f64 1 x) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (hypot.f64 1 x)) (fma.f64 x x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x x (fma.f64 x x 1)) 1) (*.f64 (+.f64 x (hypot.f64 1 x)) (fma.f64 x x (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (neg.f64 (fma.f64 x (+.f64 x (hypot.f64 1 x)) (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 (neg.f64 x) 3)) (+.f64 (fma.f64 x x 1) (-.f64 (pow.f64 (neg.f64 x) 2) (*.f64 (hypot.f64 1 x) (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (fma.f64 x x 1) (pow.f64 (neg.f64 x) 2)) (-.f64 (hypot.f64 1 x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (hypot.f64 1 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (hypot.f64 1 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (-.f64 (hypot.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -3) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (neg.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (neg.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 3) 1) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) 1) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 x (+.f64 x (hypot.f64 1 x)) (fma.f64 x x 1)) (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x (hypot.f64 1 x)) 1) -1)))) (#(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 (hypot.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 (hypot.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (expm1.f64 (hypot.f64 1 x))) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (exp.f64 (hypot.f64 1 x)) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (expm1.f64 (hypot.f64 1 x))) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (hypot.f64 1 x))) (exp.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (hypot.f64 1 x))) (/.f64 1 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (neg.f64 x)) (exp.f64 (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 (expm1.f64 (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (/.f64 1 (exp.f64 x)) (+.f64 1 (expm1.f64 (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (hypot.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (hypot.f64 1 x) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (hypot.f64 1 x) (*.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (-.f64 (hypot.f64 1 x) x) (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (-.f64 (hypot.f64 1 x) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (-.f64 (hypot.f64 1 x) x) (+.f64 (neg.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (neg.f64 x) (hypot.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 x) 1 (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 x) 1 (*.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (hypot.f64 1 x) x) 1 (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (hypot.f64 1 x) x) 1 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (hypot.f64 1 x) x) 1 (+.f64 (neg.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) (cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) -2)) (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) (cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) -2)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) (cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) -2)) (+.f64 (neg.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) -2)) (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) -2)) (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) -2)) (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) (+.f64 (neg.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 x x 1)) (cbrt.f64 (hypot.f64 1 x)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 x x 1)) (cbrt.f64 (hypot.f64 1 x)) (*.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (hypot.f64 1 x)) (cbrt.f64 (fma.f64 x x 1)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (hypot.f64 1 x)) (cbrt.f64 (fma.f64 x x 1)) (*.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (neg.f64 (cbrt.f64 x)) (hypot.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) (+.f64 (neg.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (neg.f64 (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)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) (*.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 x (hypot.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x (+.f64 x (hypot.f64 1 x)) (fma.f64 x x 1))) (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x (+.f64 x (hypot.f64 1 x)) (fma.f64 x x 1))) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x (+.f64 x (hypot.f64 1 x)) (fma.f64 x x 1))) (+.f64 (neg.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (neg.f64 x)) 2) (cbrt.f64 (neg.f64 x)) (hypot.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 x)) 4)) (sqrt.f64 (cbrt.f64 (fma.f64 x x 1))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 x)) 4)) (sqrt.f64 (cbrt.f64 (fma.f64 x x 1))) (*.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) (hypot.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) (hypot.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (hypot.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) -2)) 1) (/.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 1) (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) -2)) 1) (/.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 1) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) -2)) 1) (/.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 1) (+.f64 (neg.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) 1) (/.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) 1) (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) 1) (/.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) 1) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) 1) (/.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) 1) (+.f64 (neg.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x)) (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x)) (+.f64 (neg.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (-.f64 (hypot.f64 1 x) x) (-.f64 (pow.f64 (hypot.f64 1 x) 6) (pow.f64 x 6))) (fma.f64 (*.f64 x x) (fma.f64 x x (fma.f64 x x 1)) (pow.f64 (hypot.f64 1 x) 4)) (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (-.f64 (hypot.f64 1 x) x) (-.f64 (pow.f64 (hypot.f64 1 x) 6) (pow.f64 x 6))) (fma.f64 (*.f64 x x) (fma.f64 x x (fma.f64 x x 1)) (pow.f64 (hypot.f64 1 x) 4)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (-.f64 (hypot.f64 1 x) x) (-.f64 (pow.f64 (hypot.f64 1 x) 6) (pow.f64 x 6))) (fma.f64 (*.f64 x x) (fma.f64 x x (fma.f64 x x 1)) (pow.f64 (hypot.f64 1 x) 4)) (+.f64 (neg.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (-.f64 (hypot.f64 1 x) x) (*.f64 (fma.f64 x x (fma.f64 x x 1)) 1)) (fma.f64 x x (fma.f64 x x 1)) (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (-.f64 (hypot.f64 1 x) x) (*.f64 (fma.f64 x x (fma.f64 x x 1)) 1)) (fma.f64 x x (fma.f64 x x 1)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (-.f64 (hypot.f64 1 x) x) (*.f64 (fma.f64 x x (fma.f64 x x 1)) 1)) (fma.f64 x x (fma.f64 x x 1)) (+.f64 (neg.f64 x) x))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (hypot.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (hypot.f64 1 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 x (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (fma.f64 x x 1) (+.f64 x (hypot.f64 1 x))) (neg.f64 (*.f64 (*.f64 x x) (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (+.f64 x (hypot.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 x (hypot.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 x (hypot.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (fma.f64 x x 1) (+.f64 x (hypot.f64 1 x))) (*.f64 (*.f64 x x) (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 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 -1 (/.f64 1 (neg.f64 (-.f64 (hypot.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) -2) (cbrt.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (fma.f64 x (+.f64 x (hypot.f64 1 x)) (fma.f64 x x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (E.f64) (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2))) (pow.f64 (E.f64) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (E.f64) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) (pow.f64 (E.f64) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (hypot.f64 1 x) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (hypot.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 3) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (*.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (neg.f64 (-.f64 (hypot.f64 1 x) x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (E.f64) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (E.f64) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (E.f64) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (sqrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) 1) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2)) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 1 (neg.f64 (-.f64 (hypot.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (hypot.f64 1 x))) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (hypot.f64 1 x)) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (hypot.f64 1 x))) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (hypot.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (hypot.f64 1 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (fma.f64 x x 1) (+.f64 x (hypot.f64 1 x))) (neg.f64 (*.f64 (*.f64 x x) (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (hypot.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 x x 1) (+.f64 x (hypot.f64 1 x)) (neg.f64 (*.f64 (*.f64 x x) (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 x) 1 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 x x 1)) (cbrt.f64 (hypot.f64 1 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (hypot.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (hypot.f64 1 x)) (cbrt.f64 (fma.f64 x x 1)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (hypot.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) (/.f64 (fma.f64 x x 1) (sqrt.f64 (-.f64 (hypot.f64 1 x) x))) (neg.f64 (*.f64 (*.f64 x x) (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (hypot.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (fma.f64 x x 1) (+.f64 x (hypot.f64 1 x)))) 2) (cbrt.f64 (*.f64 (fma.f64 x x 1) (+.f64 x (hypot.f64 1 x)))) (neg.f64 (*.f64 (*.f64 x x) (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (fma.f64 x x 1) (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (*.f64 (fma.f64 x x 1) (+.f64 x (hypot.f64 1 x)))) (neg.f64 (*.f64 (*.f64 x x) (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 x)) 4)) (sqrt.f64 (cbrt.f64 (fma.f64 x x 1))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (cbrt.f64 x) x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (hypot.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (hypot.f64 1 x) 1) (/.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)) (neg.f64 (*.f64 (*.f64 x x) (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 x)) 4) 1) (/.f64 (cbrt.f64 (fma.f64 x x 1)) (-.f64 (hypot.f64 1 x) x)) (neg.f64 (*.f64 (*.f64 x x) (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) -2) (/.f64 (fma.f64 x x 1) (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) (neg.f64 (*.f64 (*.f64 x x) (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (hypot.f64 1 x) (cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) -2))) (/.f64 (hypot.f64 1 x) (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) (neg.f64 (*.f64 (*.f64 x x) (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 x)) 4) (cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) -2))) (/.f64 (cbrt.f64 (fma.f64 x x 1)) (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) (neg.f64 (*.f64 (*.f64 x x) (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (hypot.f64 1 x) (sqrt.f64 (-.f64 (hypot.f64 1 x) x))) (/.f64 (hypot.f64 1 x) (sqrt.f64 (-.f64 (hypot.f64 1 x) x))) (neg.f64 (*.f64 (*.f64 x x) (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 x)) 4) (sqrt.f64 (-.f64 (hypot.f64 1 x) x))) (/.f64 (cbrt.f64 (fma.f64 x x 1)) (sqrt.f64 (-.f64 (hypot.f64 1 x) x))) (neg.f64 (*.f64 (*.f64 x x) (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (fma.f64 x x 1) (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (fma.f64 x (+.f64 x (hypot.f64 1 x)) (fma.f64 x x 1)) (neg.f64 (*.f64 (*.f64 x x) (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (fma.f64 x x 1) 1) (+.f64 x (hypot.f64 1 x)) (neg.f64 (*.f64 (*.f64 x x) (+.f64 x (hypot.f64 1 x)))))))))

simplify105.0ms (1.2%)

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

Useful iterations: 2 (0.0ms)

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

eval382.0ms (4.2%)

Compiler

Compiled 9235 to 6294 computations (31.8% saved)

prune72.0ms (0.8%)

Pruning

10 alts after pruning (5 fresh and 5 done)

PrunedKeptTotal
New4845489
Fresh303
Picked101
Done055
Total48810498
Error
0.0b
Counts
498 → 10
Alt Table
Click to see full alt table
StatusErrorProgram
✓31.6b
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
▶31.4b
(+.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)))
▶46.0b
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
30.2b
x
✓48.6b
(log.f64 (*.f64 x 2))
▶44.6b
(log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)))
✓47.4b
(log.f64 (/.f64 -1/2 x))
▶44.6b
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
✓31.2b
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) x))
✓45.9b
(log.f64 (+.f64 x (hypot.f64 1 x)))
Compiler

Compiled 88 to 68 computations (22.7% saved)

localize16.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
0.7b
(-.f64 (hypot.f64 1 x) x)
✓1.8b
(log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)))
Compiler

Compiled 26 to 18 computations (30.8% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite65.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
761×pow1_binary64
707×add-log-exp_binary64
707×log1p-expm1-u_binary64
707×expm1-log1p-u_binary64
692×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0721
115021
2195021
Stop Event
1×node limit
Counts
2 → 51
Calls
Call 1
Inputs
(log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)))
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2)) (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -2))) (log.f64 (/.f64 1 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (log.f64 (-.f64 (hypot.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 -1) (log.f64 (neg.f64 (-.f64 (hypot.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) (pow.f64 (cbrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 2) (cbrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) (sqrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (log.f64 (-.f64 (hypot.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 0 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 3)) (+.f64 0 (+.f64 (pow.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2) (*.f64 0 (log.f64 (-.f64 (hypot.f64 1 x) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 0 (pow.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2)) (log.f64 (-.f64 (hypot.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 1 (-.f64 (hypot.f64 1 x) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (-.f64 (hypot.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -2)) (/.f64 1 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2) (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (-.f64 (hypot.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2) -1) (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) -1) (pow.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (+.f64 (+.f64 1 (*.f64 x x)) (*.f64 x (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x))) (+.f64 x (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (hypot.f64 1 x) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 2)) (cbrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))) (sqrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))))))

simplify63.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
915×fma-def_binary64
723×sub-neg_binary64
455×associate-/r*_binary64
344×associate-+r+_binary64
288×associate-*l*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
092402
1268389
2725389
32145385
47312385
Stop Event
1×node limit
Counts
75 → 95
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))))
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 (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 (log.f64 x) (+.f64 (log.f64 2) (-.f64 (/.f64 1/4 (*.f64 x 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 (log.f64 x) (+.f64 (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6))) (-.f64 (log.f64 2) (/.f64 3/32 (pow.f64 x 4)))))
(+.f64 (log.f64 x) (+.f64 (+.f64 (log.f64 2) (/.f64 1/4 (*.f64 x x))) (-.f64 (/.f64 5/96 (pow.f64 x 6)) (/.f64 3/32 (pow.f64 x 4)))))
(+.f64 (+.f64 (log.f64 x) (/.f64 1/4 (*.f64 x x))) (+.f64 (log.f64 2) (+.f64 (/.f64 5/96 (pow.f64 x 6)) (/.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 (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) (*.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 (log.f64 (/.f64 -1 x)) (/.f64 -1/4 (*.f64 x x)))))
(+.f64 (/.f64 3/32 (pow.f64 x 4)) (+.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) (*.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 (log.f64 (/.f64 -1 x)) (-.f64 (+.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 3/32 (pow.f64 x 4)) (+.f64 (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 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (-.f64 (-.f64 (log.f64 1/2) (/.f64 5/96 (pow.f64 x 6))) (/.f64 1/4 (*.f64 x x)))))
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 1 (fma.f64 (*.f64 x x) 1/2 x))
(+.f64 x (fma.f64 (*.f64 x x) 1/2 1))
(fma.f64 (fma.f64 x 1/2 1) x 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 1 (fma.f64 (pow.f64 x 4) -1/8 (fma.f64 (*.f64 x x) 1/2 x)))
(fma.f64 (fma.f64 x 1/2 1) x (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 (+.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 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/16 (pow.f64 x 5))) (/.f64 -1/2 x))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 -1/2 x) (/.f64 -1/16 (pow.f64 x 5))))
(+.f64 (/.f64 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 (/.f64 1/8 (pow.f64 x 3)) (/.f64 5/128 (pow.f64 x 7))) (-.f64 (/.f64 -1/2 x) (/.f64 1/16 (pow.f64 x 5))))

localize21.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.7b
(-.f64 (hypot.f64 1 x) x)
✓1.8b
(log.f64 (-.f64 (hypot.f64 1 x) x))
Compiler

Compiled 24 to 16 computations (33.3% saved)

series3.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite55.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
629×pow1_binary64
584×add-log-exp_binary64
584×log1p-expm1-u_binary64
584×expm1-log1p-u_binary64
572×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
069
11229
215699
Stop Event
1×node limit
Counts
1 → 20
Calls
Call 1
Inputs
(log.f64 (-.f64 (hypot.f64 1 x) x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (-.f64 (hypot.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2)) (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))) (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (log.f64 (+.f64 (+.f64 1 (*.f64 x x)) (*.f64 x (+.f64 x (hypot.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x))) (log.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2) (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (-.f64 (hypot.f64 1 x) x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))))))

simplify57.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
571×sub-neg_binary64
571×fma-def_binary64
506×unswap-sqr_binary64
364×distribute-neg-frac_binary64
333×associate-/r*_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
058252
1164238
2442238
31499238
45633238
Stop Event
1×node limit
Counts
32 → 44
Calls
Call 1
Inputs
(*.f64 -1 x)
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 -1 x))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1 x) (*.f64 -3/40 (pow.f64 x 5))))
(+.f64 (*.f64 5/112 (pow.f64 x 7)) (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1 x) (*.f64 -3/40 (pow.f64 x 5)))))
(+.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)))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 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)))))
(-.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))))
Outputs
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 -1 x))
(fma.f64 1/6 (pow.f64 x 3) (neg.f64 x))
(-.f64 (*.f64 1/6 (pow.f64 x 3)) x)
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1 x) (*.f64 -3/40 (pow.f64 x 5))))
(fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1 x (*.f64 -3/40 (pow.f64 x 5))))
(fma.f64 1/6 (pow.f64 x 3) (fma.f64 -3/40 (pow.f64 x 5) (neg.f64 x)))
(-.f64 (fma.f64 -3/40 (pow.f64 x 5) (*.f64 1/6 (pow.f64 x 3))) x)
(-.f64 (fma.f64 1/6 (pow.f64 x 3) (*.f64 -3/40 (pow.f64 x 5))) x)
(+.f64 (*.f64 5/112 (pow.f64 x 7)) (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1 x) (*.f64 -3/40 (pow.f64 x 5)))))
(fma.f64 5/112 (pow.f64 x 7) (fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1 x (*.f64 -3/40 (pow.f64 x 5)))))
(fma.f64 5/112 (pow.f64 x 7) (fma.f64 1/6 (pow.f64 x 3) (fma.f64 -3/40 (pow.f64 x 5) (neg.f64 x))))
(fma.f64 1/6 (pow.f64 x 3) (-.f64 (fma.f64 -3/40 (pow.f64 x 5) (*.f64 5/112 (pow.f64 x 7))) x))
(-.f64 (fma.f64 -3/40 (pow.f64 x 5) (fma.f64 1/6 (pow.f64 x 3) (*.f64 5/112 (pow.f64 x 7)))) x)
(+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2))
(+.f64 (neg.f64 (log.f64 x)) (log.f64 1/2))
(-.f64 (log.f64 1/2) (log.f64 x))
(-.f64 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (neg.f64 (log.f64 x)) (-.f64 (log.f64 1/2) (/.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 (/.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 (neg.f64 (log.f64 x)) (-.f64 (+.f64 (log.f64 1/2) (/.f64 3/32 (pow.f64 x 4))) (/.f64 1/4 (*.f64 x x))))
(+.f64 (-.f64 (log.f64 1/2) (log.f64 x)) (-.f64 (/.f64 3/32 (pow.f64 x 4)) (/.f64 1/4 (*.f64 x x))))
(+.f64 (-.f64 (log.f64 1/2) (log.f64 x)) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (/.f64 -1/4 (*.f64 x x))))
(+.f64 (log.f64 1/2) (+.f64 (/.f64 -1/4 (*.f64 x x)) (-.f64 (/.f64 3/32 (pow.f64 x 4)) (log.f64 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 (neg.f64 (log.f64 x)) (-.f64 (+.f64 (log.f64 1/2) (/.f64 3/32 (pow.f64 x 4))) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6)))))
(-.f64 (+.f64 (-.f64 (log.f64 1/2) (log.f64 x)) (-.f64 (/.f64 3/32 (pow.f64 x 4)) (/.f64 1/4 (*.f64 x x)))) (/.f64 5/96 (pow.f64 x 6)))
(+.f64 (log.f64 1/2) (-.f64 (-.f64 (/.f64 3/32 (pow.f64 x 4)) (log.f64 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 -1/4 (*.f64 x x)) (+.f64 (-.f64 (log.f64 1/2) (log.f64 x)) (/.f64 -5/96 (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 (log.f64 2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 2)) (/.f64 1/4 (*.f64 x x)))
(+.f64 (/.f64 1/4 (*.f64 x x)) (-.f64 (log.f64 2) (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 2) (-.f64 (/.f64 1/4 (*.f64 x x)) (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 3/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 2)) (/.f64 1/4 (*.f64 x x))) (/.f64 3/32 (pow.f64 x 4)))
(+.f64 (-.f64 (log.f64 2) (log.f64 (/.f64 -1 x))) (-.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 3/32 (pow.f64 x 4))))
(+.f64 (/.f64 1/4 (*.f64 x x)) (-.f64 (-.f64 (log.f64 2) (log.f64 (/.f64 -1 x))) (/.f64 3/32 (pow.f64 x 4))))
(+.f64 (log.f64 2) (+.f64 (/.f64 1/4 (*.f64 x x)) (-.f64 (/.f64 -3/32 (pow.f64 x 4)) (log.f64 (/.f64 -1 x)))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 2) (+.f64 (*.f64 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 (+.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (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 (log.f64 2) (log.f64 (/.f64 -1 x))) (-.f64 (+.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 5/96 (pow.f64 x 6))) (-.f64 (-.f64 (log.f64 2) (log.f64 (/.f64 -1 x))) (/.f64 3/32 (pow.f64 x 4))))
(+.f64 (/.f64 1/4 (*.f64 x x)) (-.f64 (/.f64 -3/32 (pow.f64 x 4)) (-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (/.f64 -5/96 (pow.f64 x 6))) (log.f64 2))))
(+.f64 (/.f64 1/4 (*.f64 x x)) (-.f64 (/.f64 -3/32 (pow.f64 x 4)) (+.f64 (-.f64 (log.f64 (/.f64 -1 x)) (log.f64 2)) (/.f64 -5/96 (pow.f64 x 6)))))

localize24.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.1b
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
✓0.1b
(cbrt.f64 (+.f64 x (hypot.f64 1 x)))
0.5b
(+.f64 x (hypot.f64 1 x))
✓1.8b
(log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))
Compiler

Compiled 34 to 24 computations (29.4% saved)

series7.0ms (0.1%)

Counts
3 → 12
Calls

9 calls:

TimeVariablePointExpression
1.0ms
x
@0
(log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))
1.0ms
x
@inf
(log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))
1.0ms
x
@-inf
(log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))
1.0ms
x
@inf
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
1.0ms
x
@-inf
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))

rewrite70.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
833×pow1_binary64
775×log1p-expm1-u_binary64
775×expm1-log1p-u_binary64
774×add-log-exp_binary64
758×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0934
117929
2216229
Stop Event
1×node limit
Counts
3 → 60
Calls
Call 1
Inputs
(log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))
(cbrt.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 1/6)) (log.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (log.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))) (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))) 2) (cbrt.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (log.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 2) (cbrt.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 1/6) (pow.f64 (+.f64 x (hypot.f64 1 x)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2) 1/3) (cbrt.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 1/3) (pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x)))) (cbrt.f64 (-.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (cbrt.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (hypot.f64 1 x)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))) 2)) (cbrt.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))) (sqrt.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))))))
((#(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 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (log.f64 (cbrt.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 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 log.f64 (+.f64 x (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (+.f64 x (hypot.f64 1 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))))

simplify116.0ms (1.3%)

Algorithm
1×egg-herbie
Rules
1850×fma-def_binary64
720×sqr-pow_binary64
439×unswap-sqr_binary64
427×*-commutative_binary64
320×cube-prod_binary64
Iterations

Useful iterations: 9 (0.0ms)

IterNodesCost
044147
1114145
2285142
3853135
42045135
52502135
63374135
73548135
83806135
94135132
105606132
116585132
127441132
Stop Event
1×node limit
Counts
72 → 81
Calls
Call 1
Inputs
(*.f64 1/3 x)
(+.f64 (*.f64 1/3 x) (*.f64 -1/18 (pow.f64 x 3)))
(+.f64 (*.f64 1/40 (pow.f64 x 5)) (+.f64 (*.f64 1/3 x) (*.f64 -1/18 (pow.f64 x 3))))
(+.f64 (*.f64 -5/336 (pow.f64 x 7)) (+.f64 (*.f64 1/40 (pow.f64 x 5)) (+.f64 (*.f64 1/3 x) (*.f64 -1/18 (pow.f64 x 3)))))
1
(+.f64 1 (*.f64 1/3 x))
(+.f64 1 (+.f64 (*.f64 1/18 (pow.f64 x 2)) (*.f64 1/3 x)))
(+.f64 1 (+.f64 (*.f64 1/18 (pow.f64 x 2)) (+.f64 (*.f64 1/3 x) (*.f64 -4/81 (pow.f64 x 3)))))
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)))
Outputs
(*.f64 1/3 x)
(+.f64 (*.f64 1/3 x) (*.f64 -1/18 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 -1/18 (pow.f64 x 3)))
(fma.f64 -1/18 (pow.f64 x 3) (*.f64 1/3 x))
(*.f64 x (fma.f64 -1/18 (*.f64 x x) 1/3))
(+.f64 (*.f64 1/40 (pow.f64 x 5)) (+.f64 (*.f64 1/3 x) (*.f64 -1/18 (pow.f64 x 3))))
(fma.f64 1/40 (pow.f64 x 5) (fma.f64 1/3 x (*.f64 -1/18 (pow.f64 x 3))))
(fma.f64 1/40 (pow.f64 x 5) (fma.f64 -1/18 (pow.f64 x 3) (*.f64 1/3 x)))
(fma.f64 1/3 x (fma.f64 -1/18 (pow.f64 x 3) (*.f64 1/40 (pow.f64 x 5))))
(fma.f64 x (fma.f64 -1/18 (*.f64 x x) 1/3) (*.f64 1/40 (pow.f64 x 5)))
(fma.f64 -1/18 (pow.f64 x 3) (fma.f64 1/40 (pow.f64 x 5) (*.f64 1/3 x)))
(fma.f64 x (fma.f64 x (*.f64 x -1/18) 1/3) (*.f64 1/40 (pow.f64 x 5)))
(+.f64 (*.f64 -5/336 (pow.f64 x 7)) (+.f64 (*.f64 1/40 (pow.f64 x 5)) (+.f64 (*.f64 1/3 x) (*.f64 -1/18 (pow.f64 x 3)))))
(fma.f64 -5/336 (pow.f64 x 7) (fma.f64 1/40 (pow.f64 x 5) (fma.f64 1/3 x (*.f64 -1/18 (pow.f64 x 3)))))
(fma.f64 -5/336 (pow.f64 x 7) (fma.f64 1/40 (pow.f64 x 5) (fma.f64 -1/18 (pow.f64 x 3) (*.f64 1/3 x))))
(fma.f64 1/40 (pow.f64 x 5) (fma.f64 -5/336 (pow.f64 x 7) (fma.f64 -1/18 (pow.f64 x 3) (*.f64 1/3 x))))
(fma.f64 1/3 x (fma.f64 1/40 (pow.f64 x 5) (fma.f64 -1/18 (pow.f64 x 3) (*.f64 -5/336 (pow.f64 x 7)))))
(fma.f64 -1/18 (pow.f64 x 3) (fma.f64 -5/336 (pow.f64 x 7) (fma.f64 1/40 (pow.f64 x 5) (*.f64 1/3 x))))
(fma.f64 x (fma.f64 x (*.f64 x -1/18) 1/3) (fma.f64 1/40 (pow.f64 x 5) (*.f64 -5/336 (pow.f64 x 7))))
1
(+.f64 1 (*.f64 1/3 x))
(+.f64 (*.f64 1/3 x) 1)
(fma.f64 1/3 x 1)
(+.f64 1 (+.f64 (*.f64 1/18 (pow.f64 x 2)) (*.f64 1/3 x)))
(+.f64 1 (fma.f64 1/18 (*.f64 x x) (*.f64 1/3 x)))
(+.f64 (fma.f64 1/3 x 1) (*.f64 x (*.f64 x 1/18)))
(fma.f64 x (*.f64 x 1/18) (fma.f64 1/3 x 1))
(fma.f64 x (fma.f64 x 1/18 1/3) 1)
(+.f64 1 (+.f64 (*.f64 1/18 (pow.f64 x 2)) (+.f64 (*.f64 1/3 x) (*.f64 -4/81 (pow.f64 x 3)))))
(+.f64 1 (fma.f64 1/18 (*.f64 x x) (fma.f64 1/3 x (*.f64 (pow.f64 x 3) -4/81))))
(+.f64 1 (fma.f64 1/18 (*.f64 x x) (fma.f64 (pow.f64 x 3) -4/81 (*.f64 1/3 x))))
(+.f64 (fma.f64 1/3 x 1) (*.f64 (*.f64 x x) (+.f64 (*.f64 x -4/81) 1/18)))
(fma.f64 (*.f64 x x) (fma.f64 x -4/81 1/18) (fma.f64 1/3 x 1))
(fma.f64 1/3 x (fma.f64 x (*.f64 x (fma.f64 x -4/81 1/18)) 1))
(fma.f64 x (fma.f64 x (fma.f64 x -4/81 1/18) 1/3) 1)
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(fma.f64 (pow.f64 x 3) -1/6 x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.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))
(fma.f64 (pow.f64 x 3) -1/6 (fma.f64 (pow.f64 x 5) 3/40 x))
(fma.f64 (pow.f64 x 5) 3/40 (fma.f64 (pow.f64 x 3) -1/6 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)))
(fma.f64 (pow.f64 x 3) -1/6 (fma.f64 (pow.f64 x 5) 3/40 (fma.f64 (pow.f64 x 7) -5/112 x)))
(fma.f64 (pow.f64 x 5) 3/40 (fma.f64 (pow.f64 x 3) -1/6 (fma.f64 (pow.f64 x 7) -5/112 x)))
(fma.f64 (pow.f64 x 7) -5/112 (fma.f64 (pow.f64 x 5) 3/40 (fma.f64 (pow.f64 x 3) -1/6 x)))

localize48.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 -5/112 (pow.f64 x 7))
0.0b
(*.f64 3/40 (pow.f64 x 5))
0.1b
(*.f64 -1/6 (pow.f64 x 3))
✓23.0b
(+.f64 (*.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) x))
Compiler

Compiled 71 to 55 computations (22.5% saved)

series31.0ms (0.3%)

Counts
2 → 6
Calls

6 calls:

TimeVariablePointExpression
26.0ms
x
@-inf
(+.f64 (*.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) x))
1.0ms
x
@0
(*.f64 -5/112 (pow.f64 x 7))
1.0ms
x
@inf
(+.f64 (*.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) x))
1.0ms
x
@inf
(*.f64 -5/112 (pow.f64 x 7))
1.0ms
x
@-inf
(*.f64 -5/112 (pow.f64 x 7))

rewrite128.0ms (1.4%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01222
127922
2361622
Stop Event
1×node limit
Counts
2 → 102
Calls
Call 1
Inputs
(+.f64 (*.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) x))
(*.f64 -5/112 (pow.f64 x 7))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (pow.f64 x 10) 9/1600) (fma.f64 3/40 (pow.f64 x 5) (neg.f64 (fma.f64 -5/112 (pow.f64 x 7) x)))) (/.f64 (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 2) (fma.f64 3/40 (pow.f64 x 5) (neg.f64 (fma.f64 -5/112 (pow.f64 x 7) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))) (pow.f64 (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))) 2) (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))) (sqrt.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 x 15) 27/64000 (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 3)) (/.f64 1 (fma.f64 (fma.f64 -5/112 (pow.f64 x 7) x) (-.f64 (fma.f64 -5/112 (pow.f64 x 7) x) (*.f64 3/40 (pow.f64 x 5))) (*.f64 (pow.f64 x 10) 9/1600))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (pow.f64 x 10) 9/1600) (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 2)) (/.f64 1 (fma.f64 3/40 (pow.f64 x 5) (neg.f64 (fma.f64 -5/112 (pow.f64 x 7) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (fma.f64 -5/112 (pow.f64 x 7) x) (-.f64 (fma.f64 -5/112 (pow.f64 x 7) 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 (fma.f64 -5/112 (pow.f64 x 7) x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 3/40 (pow.f64 x 5) (neg.f64 (fma.f64 -5/112 (pow.f64 x 7) x))) (-.f64 (*.f64 (pow.f64 x 10) 9/1600) (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 x 15) 27/64000 (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 3)) (fma.f64 (fma.f64 -5/112 (pow.f64 x 7) x) (-.f64 (fma.f64 -5/112 (pow.f64 x 7) x) (*.f64 3/40 (pow.f64 x 5))) (*.f64 (pow.f64 x 10) 9/1600)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 x 15) 27/64000 (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 3)) (+.f64 (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 2) (-.f64 (*.f64 (pow.f64 x 10) 9/1600) (*.f64 3/40 (*.f64 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 x 10) 9/1600) (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 2)) (fma.f64 3/40 (pow.f64 x 5) (neg.f64 (fma.f64 -5/112 (pow.f64 x 7) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 (pow.f64 x 15) 27/64000 (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 3))) (neg.f64 (fma.f64 (fma.f64 -5/112 (pow.f64 x 7) x) (-.f64 (fma.f64 -5/112 (pow.f64 x 7) x) (*.f64 3/40 (pow.f64 x 5))) (*.f64 (pow.f64 x 10) 9/1600))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x 10) 9/1600) (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 2))) (neg.f64 (fma.f64 3/40 (pow.f64 x 5) (neg.f64 (fma.f64 -5/112 (pow.f64 x 7) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) (*.f64 -5/112 (pow.f64 x 7))) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) (*.f64 -5/112 (pow.f64 x 7))) 2) (-.f64 (*.f64 x x) (*.f64 (fma.f64 3/40 (pow.f64 x 5) (*.f64 -5/112 (pow.f64 x 7))) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 2) (*.f64 (pow.f64 x 10) 9/1600)) (-.f64 (fma.f64 -5/112 (pow.f64 x 7) x) (*.f64 3/40 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) (*.f64 -5/112 (pow.f64 x 7))) 2) (*.f64 x x)) (-.f64 (fma.f64 3/40 (pow.f64 x 5) (*.f64 -5/112 (pow.f64 x 7))) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (fma.f64 -5/112 (pow.f64 x 7) x) (-.f64 (fma.f64 -5/112 (pow.f64 x 7) 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 (fma.f64 -5/112 (pow.f64 x 7) x) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 3/40 (pow.f64 x 5) (neg.f64 (fma.f64 -5/112 (pow.f64 x 7) x))) (-.f64 (*.f64 (pow.f64 x 10) 9/1600) (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 x) (exp.f64 (fma.f64 3/40 (pow.f64 x 5) (*.f64 -5/112 (pow.f64 x 7))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (fma.f64 3/40 (pow.f64 x 5) (*.f64 -5/112 (pow.f64 x 7))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 x) (*.f64 (pow.f64 (exp.f64 (pow.f64 x 5)) 3/40) (pow.f64 (exp.f64 -5/112) (pow.f64 x 7)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (*.f64 (pow.f64 (exp.f64 (pow.f64 x 5)) 3/40) (pow.f64 (exp.f64 -5/112) (pow.f64 x 7)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 3/40 (pow.f64 x 5)))) (exp.f64 (fma.f64 -5/112 (pow.f64 x 7) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 (pow.f64 x 5)) 3/40) (+.f64 1 (expm1.f64 (fma.f64 -5/112 (pow.f64 x 7) 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 (fma.f64 -5/112 (pow.f64 x 7) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (fma.f64 -5/112 (pow.f64 x 7) x))) (pow.f64 (exp.f64 (pow.f64 x 5)) 3/40)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (fma.f64 -5/112 (pow.f64 x 7) 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 (fma.f64 -5/112 (pow.f64 x 7) x))) (+.f64 1 (expm1.f64 (*.f64 3/40 (pow.f64 x 5))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (*.f64 (pow.f64 (exp.f64 (pow.f64 x 5)) 3/40) (pow.f64 (exp.f64 -5/112) (pow.f64 x 7))) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (fma.f64 3/40 (pow.f64 x 5) (*.f64 -5/112 (pow.f64 x 7)))) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (*.f64 (pow.f64 (exp.f64 (pow.f64 x 5)) 3/40) (pow.f64 (exp.f64 -5/112) (pow.f64 x 7))) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (fma.f64 3/40 (pow.f64 x 5) (*.f64 -5/112 (pow.f64 x 7))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 5) 3/40 (fma.f64 -5/112 (pow.f64 x 7) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 3/40 (pow.f64 x 5)) 1 (fma.f64 -5/112 (pow.f64 x 7) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -5/112 (pow.f64 x 7) (+.f64 x (*.f64 3/40 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 7) -5/112 (+.f64 x (*.f64 3/40 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -5/112 (pow.f64 x 7)) 1 (+.f64 x (*.f64 3/40 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 1 (*.f64 3/40 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (fma.f64 3/40 (pow.f64 x 5) (*.f64 -5/112 (pow.f64 x 7))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 3/40 (pow.f64 x 5)) (fma.f64 -5/112 (pow.f64 x 7) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 -5/112 (pow.f64 x 7)) (+.f64 x (*.f64 3/40 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 -5/112 (pow.f64 x 7) x) (*.f64 3/40 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 3/40 (pow.f64 x 5) (*.f64 -5/112 (pow.f64 x 7))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 -5/112 (pow.f64 x 7) x)) (pow.f64 (cbrt.f64 (fma.f64 -5/112 (pow.f64 x 7) x)) 2) (*.f64 3/40 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 -5/112 (pow.f64 x 7) x)) 2) (cbrt.f64 (fma.f64 -5/112 (pow.f64 x 7) x)) (*.f64 3/40 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x 10)) (*.f64 (pow.f64 (cbrt.f64 x) 5) 3/40) (fma.f64 -5/112 (pow.f64 x 7) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x 14)) (*.f64 (pow.f64 (cbrt.f64 x) 7) -5/112) (+.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)) (fma.f64 -5/112 (pow.f64 x 7) 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))) (fma.f64 -5/112 (pow.f64 x 7) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (fma.f64 3/40 (pow.f64 x 5) (*.f64 -5/112 (pow.f64 x 7))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (fma.f64 3/40 (pow.f64 x 5) (*.f64 -5/112 (pow.f64 x 7))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 -5/112 (pow.f64 x 7))) (cbrt.f64 (*.f64 (pow.f64 x 14) 25/12544)) (+.f64 x (*.f64 3/40 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 14) 25/12544)) (cbrt.f64 (*.f64 -5/112 (pow.f64 x 7))) (+.f64 x (*.f64 3/40 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 -5/112 (pow.f64 x 7) x)) (sqrt.f64 (fma.f64 -5/112 (pow.f64 x 7) 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)) (fma.f64 -5/112 (pow.f64 x 7) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (fma.f64 3/40 (pow.f64 x 5) (*.f64 -5/112 (pow.f64 x 7))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 -5/112) (pow.f64 x 7/2)) (*.f64 (sqrt.f64 -5/112) (pow.f64 x 7/2)) (+.f64 x (*.f64 3/40 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 (pow.f64 x 21) -125/1404928 (pow.f64 x 3)) (/.f64 1 (fma.f64 x (-.f64 x (*.f64 -5/112 (pow.f64 x 7))) (*.f64 (pow.f64 x 14) 25/12544))) (*.f64 3/40 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 (pow.f64 x 14) 25/12544 (neg.f64 (*.f64 x x))) (/.f64 1 (fma.f64 -5/112 (pow.f64 x 7) (neg.f64 x))) (*.f64 3/40 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 5/2) (*.f64 (pow.f64 x 5/2) 3/40) (fma.f64 -5/112 (pow.f64 x 7) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 7/2) (*.f64 (pow.f64 x 7/2) -5/112) (+.f64 x (*.f64 3/40 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 3/40 (pow.f64 x 5) (*.f64 -5/112 (pow.f64 x 7))) 1 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) (*.f64 -5/112 (pow.f64 x 7)))) 2) (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) (*.f64 -5/112 (pow.f64 x 7)))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 3/40 (pow.f64 x 5) (*.f64 -5/112 (pow.f64 x 7)))) (sqrt.f64 (fma.f64 3/40 (pow.f64 x 5) (*.f64 -5/112 (pow.f64 x 7)))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 3/40 (cbrt.f64 (pow.f64 x 10))) (pow.f64 (cbrt.f64 x) 5) (fma.f64 -5/112 (pow.f64 x 7) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 3/40 (pow.f64 x 5/2)) (pow.f64 x 5/2) (fma.f64 -5/112 (pow.f64 x 7) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -5/112 (cbrt.f64 (pow.f64 x 14))) (pow.f64 (cbrt.f64 x) 7) (+.f64 x (*.f64 3/40 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -5/112 (pow.f64 x 7/2)) (pow.f64 x 7/2) (+.f64 x (*.f64 3/40 (pow.f64 x 5))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 -5/112 (pow.f64 x 7)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -5/112) (pow.f64 x 7))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -5/112) (pow.f64 x 7)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -5/112) (pow.f64 x 7)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -5/112) (pow.f64 x 7)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -5/112 (pow.f64 x 7)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -5/112 (pow.f64 x 7)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 14) 25/12544) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -5/112 (pow.f64 x 7))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 -5/112) (pow.f64 x 7/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 21) -125/1404928) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 14) 25/12544))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -5/112) (pow.f64 x 7)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 -5/112 (pow.f64 x 7)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 21) -125/1404928))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -5/112 (pow.f64 x 7))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -5/112 (pow.f64 x 7))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -5/112 (pow.f64 x 7))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 -5/112 (pow.f64 x 7))) 1))))))

simplify161.0ms (1.8%)

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

Useful iterations: 0 (0.0ms)

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

eval541.0ms (6%)

Compiler

Compiled 12228 to 9243 computations (24.4% saved)

prune119.0ms (1.3%)

Pruning

16 alts after pruning (8 fresh and 8 done)

PrunedKeptTotal
New6948702
Fresh101
Picked011
Done178
Total69616712
Error
0b
Counts
712 → 16
Alt Table
Click to see full alt table
StatusErrorProgram
✓31.6b
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
✓31.4b
(+.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)))
30.2b
x
✓45.9b
(log.f64 (+.f64 x (hypot.f64 1 x)))
▶45.9b
(*.f64 3 (*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1/3))
31.4b
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) (+.f64 (-.f64 (exp.f64 (log1p.f64 (*.f64 -5/112 (pow.f64 x 7)))) 1) x)))
▶44.6b
(-.f64 (+.f64 1 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 1)
✓48.6b
(log.f64 (*.f64 x 2))
✓44.6b
(log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)))
✓47.4b
(log.f64 (/.f64 -1/2 x))
✓44.6b
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
▶31.8b
(*.f64 3 (*.f64 x (fma.f64 -1/18 (*.f64 x x) 1/3)))
✓31.2b
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) x))
▶30.4b
(*.f64 3 (*.f64 1/3 x))
31.4b
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (fma.f64 (fma.f64 3/40 (pow.f64 x 5) (*.f64 -5/112 (pow.f64 x 7))) 1 x))
▶31.4b
(*.f64 3 (+.f64 (*.f64 1/40 (pow.f64 x 5)) (+.f64 (*.f64 1/3 x) (*.f64 -1/18 (pow.f64 x 3)))))
Compiler

Compiled 282 to 226 computations (19.9% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.2b
(*.f64 3 (*.f64 1/3 x))
✓0.4b
(*.f64 1/3 x)
Compiler

Compiled 12 to 9 computations (25% saved)

series2.0ms (0%)

Counts
2 → 12
Calls

6 calls:

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

rewrite51.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
425×pow1_binary64
418×add-sqr-sqrt_binary64
408×*-un-lft-identity_binary64
397×add-log-exp_binary64
397×log1p-expm1-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
065
11245
211045
Stop Event
1×node limit
Counts
2 → 28
Calls
Call 1
Inputs
(*.f64 1/3 x)
(*.f64 3 (*.f64 1/3 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 1/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (cbrt.f64 (exp.f64 x))) (cbrt.f64 (cbrt.f64 (exp.f64 x))))) (log.f64 (cbrt.f64 (cbrt.f64 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (cbrt.f64 (exp.f64 x)))) (log.f64 (sqrt.f64 (cbrt.f64 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 1/3 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/3 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/3 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/3 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 1/3 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 1/3 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (cbrt.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/3 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/3 x)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 x)) (cbrt.f64 (exp.f64 x)))) (*.f64 1/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 x))) (log.f64 (sqrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 3) 1/3)))) (#(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 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))))))

simplify8.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0112
Stop Event
1×saturated
Counts
40 → 29
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

localize13.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.1b
(fma.f64 -1/18 (*.f64 x x) 1/3)
✓0.1b
(*.f64 3 (*.f64 x (fma.f64 -1/18 (*.f64 x x) 1/3)))
✓0.2b
(*.f64 x (fma.f64 -1/18 (*.f64 x x) 1/3))
Compiler

Compiled 32 to 18 computations (43.8% saved)

series5.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(*.f64 3 (*.f64 x (fma.f64 -1/18 (*.f64 x x) 1/3)))
1.0ms
x
@0
(*.f64 x (fma.f64 -1/18 (*.f64 x x) 1/3))
1.0ms
x
@inf
(*.f64 x (fma.f64 -1/18 (*.f64 x x) 1/3))
1.0ms
x
@0
(*.f64 3 (*.f64 x (fma.f64 -1/18 (*.f64 x x) 1/3)))
0.0ms
x
@-inf
(*.f64 x (fma.f64 -1/18 (*.f64 x x) 1/3))

rewrite61.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
804×pow1_binary64
749×add-log-exp_binary64
749×log1p-expm1-u_binary64
749×expm1-log1p-u_binary64
736×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0933
118533
2204933
Stop Event
1×node limit
Counts
3 → 49
Calls
Call 1
Inputs
(*.f64 x (fma.f64 -1/18 (*.f64 x x) 1/3))
(*.f64 3 (*.f64 x (fma.f64 -1/18 (*.f64 x x) 1/3)))
(fma.f64 -1/18 (*.f64 x x) 1/3)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 -1/18 (*.f64 x x)) x) (*.f64 1/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 -1/18 (*.f64 x x))) (*.f64 x 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (fma.f64 -1/18 (*.f64 x x) 1/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (fma.f64 -1/18 (*.f64 x x) 1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (fma.f64 -1/18 (*.f64 x x) 1/3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (fma.f64 -1/18 (*.f64 x x) 1/3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (fma.f64 -1/18 (*.f64 x x) 1/3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (fma.f64 -1/18 (*.f64 x x) 1/3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (fma.f64 -1/18 (*.f64 x x) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (fma.f64 -1/18 (*.f64 x x) 1/3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (fma.f64 -1/18 (*.f64 x x) 1/3) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (fma.f64 -1/18 (*.f64 x x) 1/3) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (fma.f64 -1/18 (*.f64 x x) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (fma.f64 -1/18 (*.f64 x x) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (fma.f64 -1/18 (*.f64 x x) 1/3))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 -1/18 (*.f64 x x)) (*.f64 x 3)) (*.f64 1/3 (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x 3) (*.f64 -1/18 (*.f64 x x))) (*.f64 (*.f64 x 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (*.f64 (fma.f64 -1/18 (*.f64 x x) 1/3) 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 (fma.f64 -1/18 (*.f64 x x) 1/3) 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (*.f64 (fma.f64 -1/18 (*.f64 x x) 1/3) 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 (fma.f64 -1/18 (*.f64 x x) 1/3) 3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (*.f64 (fma.f64 -1/18 (*.f64 x x) 1/3) 3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 9 (pow.f64 (*.f64 x (fma.f64 -1/18 (*.f64 x x) 1/3)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 x) (fma.f64 -1/18 (*.f64 x x) 1/3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (*.f64 (fma.f64 -1/18 (*.f64 x x) 1/3) 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 (fma.f64 -1/18 (*.f64 x x) 1/3) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 (fma.f64 -1/18 (*.f64 x x) 1/3) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 (fma.f64 -1/18 (*.f64 x x) 1/3) 3))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1/3 (*.f64 -1/18 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1/18 (*.f64 x x)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 -1/18 (*.f64 x x)) 1) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 -1/18 (*.f64 x x) 1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -1/18 (*.f64 x x) 1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 -1/18 (*.f64 x x) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 -1/18 (*.f64 x x) 1/3)) (cbrt.f64 (pow.f64 (fma.f64 -1/18 (*.f64 x x) 1/3) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/18 (*.f64 x x) 1/3) 2)) (cbrt.f64 (fma.f64 -1/18 (*.f64 x x) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 -1/18 (*.f64 x x) 1/3)) (sqrt.f64 (fma.f64 -1/18 (*.f64 x x) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 -1/18 (*.f64 x x)) 3) 1/27) (+.f64 (*.f64 (*.f64 -1/18 (*.f64 x x)) (*.f64 -1/18 (*.f64 x x))) (-.f64 1/9 (*.f64 (*.f64 -1/18 (*.f64 x x)) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 -1/18 (*.f64 x x)) (*.f64 -1/18 (*.f64 x x))) 1/9) (-.f64 (*.f64 -1/18 (*.f64 x x)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 -1/18 (*.f64 x x) 1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -1/18 (*.f64 x x) 1/3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 -1/18 (*.f64 x x) 1/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 -1/18 (*.f64 x x) 1/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 -1/18 (*.f64 x x) 1/3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 -1/18 (*.f64 x x) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 -1/18 (*.f64 x x) 1/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 -1/18 (*.f64 x x) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 -1/18 (*.f64 x x) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 -1/18 (*.f64 x x) 1/3)))))))

simplify127.0ms (1.4%)

Algorithm
1×egg-herbie
Rules
1065×fma-def_binary64
637×associate-*l*_binary64
576×distribute-lft-in_binary64
576×distribute-rgt-in_binary64
536×unswap-sqr_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
016291
138291
280291
3189291
4537291
52149291
63644291
74104291
84674291
95895291
107414291
117943291
Stop Event
1×node limit
Counts
85 → 63
Calls
Call 1
Inputs
(*.f64 1/3 x)
(+.f64 (*.f64 1/3 x) (*.f64 -1/18 (pow.f64 x 3)))
(+.f64 (*.f64 1/3 x) (*.f64 -1/18 (pow.f64 x 3)))
(+.f64 (*.f64 1/3 x) (*.f64 -1/18 (pow.f64 x 3)))
(*.f64 -1/18 (pow.f64 x 3))
(+.f64 (*.f64 1/3 x) (*.f64 -1/18 (pow.f64 x 3)))
(+.f64 (*.f64 1/3 x) (*.f64 -1/18 (pow.f64 x 3)))
(+.f64 (*.f64 1/3 x) (*.f64 -1/18 (pow.f64 x 3)))
(*.f64 -1/18 (pow.f64 x 3))
(+.f64 (*.f64 1/3 x) (*.f64 -1/18 (pow.f64 x 3)))
(+.f64 (*.f64 1/3 x) (*.f64 -1/18 (pow.f64 x 3)))
(+.f64 (*.f64 1/3 x) (*.f64 -1/18 (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)
1/3
(+.f64 (*.f64 -1/18 (pow.f64 x 2)) 1/3)
(+.f64 (*.f64 -1/18 (pow.f64 x 2)) 1/3)
(+.f64 (*.f64 -1/18 (pow.f64 x 2)) 1/3)
(*.f64 -1/18 (pow.f64 x 2))
(+.f64 (*.f64 -1/18 (pow.f64 x 2)) 1/3)
(+.f64 (*.f64 -1/18 (pow.f64 x 2)) 1/3)
(+.f64 (*.f64 -1/18 (pow.f64 x 2)) 1/3)
(*.f64 -1/18 (pow.f64 x 2))
(+.f64 (*.f64 -1/18 (pow.f64 x 2)) 1/3)
(+.f64 (*.f64 -1/18 (pow.f64 x 2)) 1/3)
(+.f64 (*.f64 -1/18 (pow.f64 x 2)) 1/3)
Outputs
(*.f64 1/3 x)
(+.f64 (*.f64 1/3 x) (*.f64 -1/18 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 -1/18 (pow.f64 x 3)))
(*.f64 x (fma.f64 -1/18 (*.f64 x x) 1/3))
(+.f64 (*.f64 1/3 x) (*.f64 -1/18 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 -1/18 (pow.f64 x 3)))
(*.f64 x (fma.f64 -1/18 (*.f64 x x) 1/3))
(+.f64 (*.f64 1/3 x) (*.f64 -1/18 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 -1/18 (pow.f64 x 3)))
(*.f64 x (fma.f64 -1/18 (*.f64 x x) 1/3))
(*.f64 -1/18 (pow.f64 x 3))
(+.f64 (*.f64 1/3 x) (*.f64 -1/18 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 -1/18 (pow.f64 x 3)))
(*.f64 x (fma.f64 -1/18 (*.f64 x x) 1/3))
(+.f64 (*.f64 1/3 x) (*.f64 -1/18 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 -1/18 (pow.f64 x 3)))
(*.f64 x (fma.f64 -1/18 (*.f64 x x) 1/3))
(+.f64 (*.f64 1/3 x) (*.f64 -1/18 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 -1/18 (pow.f64 x 3)))
(*.f64 x (fma.f64 -1/18 (*.f64 x x) 1/3))
(*.f64 -1/18 (pow.f64 x 3))
(+.f64 (*.f64 1/3 x) (*.f64 -1/18 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 -1/18 (pow.f64 x 3)))
(*.f64 x (fma.f64 -1/18 (*.f64 x x) 1/3))
(+.f64 (*.f64 1/3 x) (*.f64 -1/18 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 -1/18 (pow.f64 x 3)))
(*.f64 x (fma.f64 -1/18 (*.f64 x x) 1/3))
(+.f64 (*.f64 1/3 x) (*.f64 -1/18 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 -1/18 (pow.f64 x 3)))
(*.f64 x (fma.f64 -1/18 (*.f64 x x) 1/3))
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(fma.f64 (pow.f64 x 3) -1/6 x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(fma.f64 (pow.f64 x 3) -1/6 x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(fma.f64 (pow.f64 x 3) -1/6 x)
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) -1/6)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(fma.f64 (pow.f64 x 3) -1/6 x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(fma.f64 (pow.f64 x 3) -1/6 x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(fma.f64 (pow.f64 x 3) -1/6 x)
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) -1/6)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(fma.f64 (pow.f64 x 3) -1/6 x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(fma.f64 (pow.f64 x 3) -1/6 x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(fma.f64 (pow.f64 x 3) -1/6 x)
1/3
(+.f64 (*.f64 -1/18 (pow.f64 x 2)) 1/3)
(fma.f64 -1/18 (*.f64 x x) 1/3)
(fma.f64 x (*.f64 x -1/18) 1/3)
(+.f64 (*.f64 -1/18 (pow.f64 x 2)) 1/3)
(fma.f64 -1/18 (*.f64 x x) 1/3)
(fma.f64 x (*.f64 x -1/18) 1/3)
(+.f64 (*.f64 -1/18 (pow.f64 x 2)) 1/3)
(fma.f64 -1/18 (*.f64 x x) 1/3)
(fma.f64 x (*.f64 x -1/18) 1/3)
(*.f64 -1/18 (pow.f64 x 2))
(*.f64 -1/18 (*.f64 x x))
(*.f64 x (*.f64 x -1/18))
(+.f64 (*.f64 -1/18 (pow.f64 x 2)) 1/3)
(fma.f64 -1/18 (*.f64 x x) 1/3)
(fma.f64 x (*.f64 x -1/18) 1/3)
(+.f64 (*.f64 -1/18 (pow.f64 x 2)) 1/3)
(fma.f64 -1/18 (*.f64 x x) 1/3)
(fma.f64 x (*.f64 x -1/18) 1/3)
(+.f64 (*.f64 -1/18 (pow.f64 x 2)) 1/3)
(fma.f64 -1/18 (*.f64 x x) 1/3)
(fma.f64 x (*.f64 x -1/18) 1/3)
(*.f64 -1/18 (pow.f64 x 2))
(*.f64 -1/18 (*.f64 x x))
(*.f64 x (*.f64 x -1/18))
(+.f64 (*.f64 -1/18 (pow.f64 x 2)) 1/3)
(fma.f64 -1/18 (*.f64 x x) 1/3)
(fma.f64 x (*.f64 x -1/18) 1/3)
(+.f64 (*.f64 -1/18 (pow.f64 x 2)) 1/3)
(fma.f64 -1/18 (*.f64 x x) 1/3)
(fma.f64 x (*.f64 x -1/18) 1/3)
(+.f64 (*.f64 -1/18 (pow.f64 x 2)) 1/3)
(fma.f64 -1/18 (*.f64 x x) 1/3)
(fma.f64 x (*.f64 x -1/18) 1/3)

localize22.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.1b
(*.f64 3 (*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1/3))
✓0.1b
(*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1/3)
0.5b
(+.f64 x (hypot.f64 1 x))
1.8b
(log.f64 (+.f64 x (hypot.f64 1 x)))
Compiler

Compiled 37 to 27 computations (27% saved)

series3.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite68.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
872×pow1_binary64
811×add-log-exp_binary64
811×log1p-expm1-u_binary64
811×expm1-log1p-u_binary64
797×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01027
120420
2247420
Stop Event
1×node limit
Counts
2 → 27
Calls
Call 1
Inputs
(*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1/3)
(*.f64 3 (*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1/3))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))))))))
((#(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 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 log.f64 (+.f64 x (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (+.f64 x (hypot.f64 1 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))))

simplify68.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
534×associate-/r*_binary64
506×unswap-sqr_binary64
376×associate--l+_binary64
375×+-commutative_binary64
350×fma-def_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
087525
1271484
2788484
32483484
47280484
Stop Event
1×node limit
Counts
51 → 71
Calls
Call 1
Inputs
(*.f64 1/3 x)
(+.f64 (*.f64 1/3 x) (*.f64 -1/18 (pow.f64 x 3)))
(+.f64 (*.f64 1/40 (pow.f64 x 5)) (+.f64 (*.f64 1/3 x) (*.f64 -1/18 (pow.f64 x 3))))
(+.f64 (*.f64 -5/336 (pow.f64 x 7)) (+.f64 (*.f64 1/40 (pow.f64 x 5)) (+.f64 (*.f64 1/3 x) (*.f64 -1/18 (pow.f64 x 3)))))
(*.f64 1/3 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))))
(+.f64 (*.f64 1/12 (/.f64 1 (pow.f64 x 2))) (*.f64 1/3 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))))
(-.f64 (+.f64 (*.f64 1/12 (/.f64 1 (pow.f64 x 2))) (*.f64 1/3 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))))) (*.f64 1/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (*.f64 5/288 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 1/12 (/.f64 1 (pow.f64 x 2))) (*.f64 1/3 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))))) (*.f64 1/32 (/.f64 1 (pow.f64 x 4))))
(*.f64 1/3 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)))
(-.f64 (*.f64 1/3 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) (*.f64 1/12 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/3 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)))) (*.f64 1/12 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/3 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)))) (+.f64 (*.f64 5/288 (/.f64 1 (pow.f64 x 6))) (*.f64 1/12 (/.f64 1 (pow.f64 x 2)))))
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
(*.f64 1/3 x)
(+.f64 (*.f64 1/3 x) (*.f64 -1/18 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 -1/18 (pow.f64 x 3)))
(fma.f64 -1/18 (pow.f64 x 3) (*.f64 1/3 x))
(+.f64 (*.f64 1/40 (pow.f64 x 5)) (+.f64 (*.f64 1/3 x) (*.f64 -1/18 (pow.f64 x 3))))
(fma.f64 1/40 (pow.f64 x 5) (fma.f64 1/3 x (*.f64 -1/18 (pow.f64 x 3))))
(fma.f64 1/40 (pow.f64 x 5) (fma.f64 -1/18 (pow.f64 x 3) (*.f64 1/3 x)))
(fma.f64 -1/18 (pow.f64 x 3) (fma.f64 1/40 (pow.f64 x 5) (*.f64 1/3 x)))
(+.f64 (*.f64 -5/336 (pow.f64 x 7)) (+.f64 (*.f64 1/40 (pow.f64 x 5)) (+.f64 (*.f64 1/3 x) (*.f64 -1/18 (pow.f64 x 3)))))
(fma.f64 -5/336 (pow.f64 x 7) (fma.f64 1/40 (pow.f64 x 5) (fma.f64 1/3 x (*.f64 -1/18 (pow.f64 x 3)))))
(fma.f64 -5/336 (pow.f64 x 7) (fma.f64 1/40 (pow.f64 x 5) (fma.f64 -1/18 (pow.f64 x 3) (*.f64 1/3 x))))
(fma.f64 1/40 (pow.f64 x 5) (fma.f64 -5/336 (pow.f64 x 7) (fma.f64 -1/18 (pow.f64 x 3) (*.f64 1/3 x))))
(*.f64 1/3 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))))
(*.f64 1/3 (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x)))))
(*.f64 1/3 (+.f64 (log.f64 2) (log.f64 x)))
(+.f64 (*.f64 1/12 (/.f64 1 (pow.f64 x 2))) (*.f64 1/3 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))))
(+.f64 (*.f64 1/3 (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))) (/.f64 1/12 (*.f64 x x)))
(fma.f64 1/3 (+.f64 (log.f64 2) (log.f64 x)) (/.f64 (/.f64 1/12 x) x))
(fma.f64 1/3 (+.f64 (log.f64 2) (log.f64 x)) (/.f64 1/12 (*.f64 x x)))
(-.f64 (+.f64 (*.f64 1/12 (/.f64 1 (pow.f64 x 2))) (*.f64 1/3 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))))) (*.f64 1/32 (/.f64 1 (pow.f64 x 4))))
(+.f64 (/.f64 1/12 (*.f64 x x)) (-.f64 (*.f64 1/3 (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))) (/.f64 1/32 (pow.f64 x 4))))
(+.f64 (/.f64 (/.f64 1/12 x) x) (fma.f64 1/3 (+.f64 (log.f64 2) (log.f64 x)) (/.f64 -1/32 (pow.f64 x 4))))
(fma.f64 1/3 (+.f64 (log.f64 2) (log.f64 x)) (-.f64 (/.f64 1/12 (*.f64 x x)) (/.f64 1/32 (pow.f64 x 4))))
(+.f64 (/.f64 1/12 (*.f64 x x)) (fma.f64 1/3 (+.f64 (log.f64 2) (log.f64 x)) (/.f64 -1/32 (pow.f64 x 4))))
(-.f64 (+.f64 (*.f64 5/288 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 1/12 (/.f64 1 (pow.f64 x 2))) (*.f64 1/3 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))))) (*.f64 1/32 (/.f64 1 (pow.f64 x 4))))
(+.f64 (/.f64 5/288 (pow.f64 x 6)) (+.f64 (/.f64 1/12 (*.f64 x x)) (-.f64 (*.f64 1/3 (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))) (/.f64 1/32 (pow.f64 x 4)))))
(+.f64 (fma.f64 1/3 (+.f64 (log.f64 2) (log.f64 x)) (/.f64 (/.f64 1/12 x) x)) (-.f64 (/.f64 5/288 (pow.f64 x 6)) (/.f64 1/32 (pow.f64 x 4))))
(+.f64 (/.f64 1/12 (*.f64 x x)) (-.f64 (fma.f64 1/3 (+.f64 (log.f64 2) (log.f64 x)) (/.f64 5/288 (pow.f64 x 6))) (/.f64 1/32 (pow.f64 x 4))))
(+.f64 (/.f64 1/12 (*.f64 x x)) (+.f64 (/.f64 5/288 (pow.f64 x 6)) (fma.f64 1/3 (+.f64 (log.f64 2) (log.f64 x)) (/.f64 -1/32 (pow.f64 x 4)))))
(*.f64 1/3 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)))
(-.f64 (*.f64 1/3 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) (*.f64 1/12 (/.f64 1 (pow.f64 x 2))))
(fma.f64 1/3 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (neg.f64 (/.f64 1/12 (*.f64 x x))))
(fma.f64 1/3 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (/.f64 -1/12 (*.f64 x x)))
(-.f64 (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/3 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)))) (*.f64 1/12 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 1/32 (pow.f64 x 4)) (fma.f64 1/3 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (neg.f64 (/.f64 1/12 (*.f64 x x)))))
(+.f64 (/.f64 1/32 (pow.f64 x 4)) (fma.f64 1/3 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (/.f64 -1/12 (*.f64 x x))))
(-.f64 (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/3 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)))) (+.f64 (*.f64 5/288 (/.f64 1 (pow.f64 x 6))) (*.f64 1/12 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (/.f64 1/32 (pow.f64 x 4)) (-.f64 (*.f64 1/3 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) (+.f64 (/.f64 1/12 (*.f64 x x)) (/.f64 5/288 (pow.f64 x 6)))))
(+.f64 (/.f64 1/32 (pow.f64 x 4)) (-.f64 (fma.f64 1/3 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (/.f64 -1/12 (*.f64 x x))) (/.f64 5/288 (pow.f64 x 6))))
(+.f64 (/.f64 1/32 (pow.f64 x 4)) (+.f64 (fma.f64 1/3 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (/.f64 -1/12 (*.f64 x x))) (/.f64 -5/288 (pow.f64 x 6))))
(+.f64 (/.f64 1/32 (pow.f64 x 4)) (fma.f64 1/3 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (+.f64 (/.f64 -1/12 (*.f64 x x)) (/.f64 -5/288 (pow.f64 x 6)))))
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(fma.f64 (pow.f64 x 3) -1/6 x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.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))
(fma.f64 (pow.f64 x 3) -1/6 (fma.f64 (pow.f64 x 5) 3/40 x))
(fma.f64 (pow.f64 x 5) 3/40 (fma.f64 (pow.f64 x 3) -1/6 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)))
(fma.f64 (pow.f64 x 3) -1/6 (fma.f64 (pow.f64 x 5) 3/40 (fma.f64 (pow.f64 x 7) -5/112 x)))
(fma.f64 (pow.f64 x 5) 3/40 (fma.f64 (pow.f64 x 3) -1/6 (fma.f64 (pow.f64 x 7) -5/112 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 (/.f64 1/4 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 (log.f64 x) (+.f64 (log.f64 2) (-.f64 (/.f64 (/.f64 1/4 x) x) (/.f64 3/32 (pow.f64 x 4)))))
(+.f64 (log.f64 2) (+.f64 (/.f64 1/4 (*.f64 x x)) (-.f64 (log.f64 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 (log.f64 2) (-.f64 (/.f64 -3/32 (pow.f64 x 4)) (-.f64 (/.f64 (/.f64 -1/4 x) x) (log.f64 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 (/.f64 1/4 x) x) (/.f64 5/96 (pow.f64 x 6))) (-.f64 (log.f64 2) (/.f64 3/32 (pow.f64 x 4)))))
(+.f64 (/.f64 1/4 (*.f64 x x)) (+.f64 (+.f64 (log.f64 2) (/.f64 5/96 (pow.f64 x 6))) (-.f64 (log.f64 x) (/.f64 3/32 (pow.f64 x 4)))))
(+.f64 (log.f64 x) (+.f64 (-.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 -5/96 (pow.f64 x 6))) (+.f64 (log.f64 2) (/.f64 -3/32 (pow.f64 x 4)))))
(+.f64 (log.f64 2) (-.f64 (-.f64 (/.f64 -3/32 (pow.f64 x 4)) (-.f64 (/.f64 (/.f64 -1/4 x) x) (log.f64 x))) (/.f64 -5/96 (pow.f64 x 6))))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 (/.f64 -1 x)) (-.f64 (log.f64 1/2) (/.f64 1/4 (*.f64 x x))))
(+.f64 (log.f64 (/.f64 -1 x)) (-.f64 (log.f64 1/2) (/.f64 (/.f64 1/4 x) x)))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (/.f64 -1/4 (*.f64 x x))))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (/.f64 (/.f64 -1/4 x) x)))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 (/.f64 -1 x)) (-.f64 (+.f64 (log.f64 1/2) (/.f64 3/32 (pow.f64 x 4))) (/.f64 1/4 (*.f64 x 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 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (/.f64 -1/4 (*.f64 x x)))))
(+.f64 (log.f64 1/2) (+.f64 (log.f64 (/.f64 -1 x)) (+.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 (log.f64 (/.f64 -1 x)) (-.f64 (+.f64 (log.f64 1/2) (/.f64 3/32 (pow.f64 x 4))) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6)))))
(+.f64 (log.f64 (/.f64 -1 x)) (-.f64 (+.f64 (log.f64 1/2) (-.f64 (/.f64 3/32 (pow.f64 x 4)) (/.f64 (/.f64 1/4 x) x))) (/.f64 5/96 (pow.f64 x 6))))
(+.f64 (log.f64 1/2) (+.f64 (+.f64 (+.f64 (/.f64 3/32 (pow.f64 x 4)) (/.f64 -1/4 (*.f64 x x))) (/.f64 -5/96 (pow.f64 x 6))) (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (-.f64 (/.f64 -5/96 (pow.f64 x 6)) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 -3/32 (pow.f64 x 4))))))

localize29.0ms (0.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.7b
(-.f64 (hypot.f64 1 x) x)
✓1.8b
(-.f64 (+.f64 1 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 1)
1.8b
(log.f64 (-.f64 (hypot.f64 1 x) x))
Compiler

Compiled 44 to 32 computations (27.3% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite75.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
973×pow1_binary64
909×add-log-exp_binary64
909×log1p-expm1-u_binary64
909×expm1-log1p-u_binary64
108×add-sqr-sqrt_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0915
12089
230979
Stop Event
1×node limit
Counts
1 → 52
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 1)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (+.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (-.f64 (hypot.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 2))) (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))) (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2) (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2) (neg.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (neg.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2) (+.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (log.f64 (-.f64 (hypot.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2) -1) (/.f64 1 (+.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 1) (-.f64 (sqrt.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2)) (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2)) (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2) (+.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2)) (+.f64 (pow.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2) (+.f64 (pow.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 3) -1) (+.f64 (pow.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2) (+.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 3) -1) (+.f64 (pow.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2) (-.f64 1 (*.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2) -1) (+.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2) -1) (-.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2) (+.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2) -1)) (neg.f64 (+.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 0 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 3)) (+.f64 0 (+.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2) (*.f64 0 (log.f64 (-.f64 (hypot.f64 1 x) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (+.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) -1) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) -1) (+.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) -1)) (+.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 0 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2)) (log.f64 (-.f64 (hypot.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (+.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) -1) (+.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) -1))) (+.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (-.f64 (hypot.f64 1 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (-.f64 (-.f64 (hypot.f64 1 x) x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (-.f64 (hypot.f64 1 x) x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2)) (cbrt.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))) (sqrt.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))) -1)))))

simplify73.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
627×fma-def_binary64
517×sub-neg_binary64
506×unswap-sqr_binary64
359×distribute-neg-frac_binary64
337×associate-/r*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
058255
1177235
2475230
31456230
45352230
Stop Event
1×node limit
Counts
64 → 75
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 -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 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 -1 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (*.f64 -1 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2))) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2)))
(-.f64 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2)))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2)))) (+.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 -1 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2)))
(neg.f64 (+.f64 (neg.f64 (log.f64 x)) (log.f64 1/2)))
(neg.f64 (-.f64 (log.f64 1/2) (log.f64 x)))
(-.f64 (log.f64 x) (log.f64 1/2))
(+.f64 (*.f64 -1 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(fma.f64 -1 (+.f64 (neg.f64 (log.f64 x)) (log.f64 1/2)) (/.f64 1/4 (*.f64 x x)))
(-.f64 (/.f64 1/4 (*.f64 x x)) (-.f64 (log.f64 1/2) (log.f64 x)))
(+.f64 (-.f64 (/.f64 1/4 (*.f64 x x)) (log.f64 1/2)) (log.f64 x))
(+.f64 (log.f64 x) (-.f64 (/.f64 1/4 (*.f64 x x)) (log.f64 1/2)))
(-.f64 (+.f64 (*.f64 -1 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (fma.f64 -1 (+.f64 (neg.f64 (log.f64 x)) (log.f64 1/2)) (/.f64 1/4 (*.f64 x x))) (/.f64 3/32 (pow.f64 x 4)))
(+.f64 (-.f64 (/.f64 1/4 (*.f64 x x)) (-.f64 (log.f64 1/2) (log.f64 x))) (/.f64 -3/32 (pow.f64 x 4)))
(+.f64 (-.f64 (log.f64 x) (log.f64 1/2)) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 -3/32 (pow.f64 x 4))))
(+.f64 (-.f64 (/.f64 1/4 (*.f64 x x)) (log.f64 1/2)) (+.f64 (/.f64 -3/32 (pow.f64 x 4)) (log.f64 x)))
(-.f64 (+.f64 (*.f64 -1 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2))) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (fma.f64 -1 (+.f64 (neg.f64 (log.f64 x)) (log.f64 1/2)) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6)))) (/.f64 3/32 (pow.f64 x 4)))
(+.f64 (+.f64 (-.f64 (/.f64 1/4 (*.f64 x x)) (-.f64 (log.f64 1/2) (log.f64 x))) (/.f64 5/96 (pow.f64 x 6))) (/.f64 -3/32 (pow.f64 x 4)))
(+.f64 (-.f64 (log.f64 x) (log.f64 1/2)) (+.f64 (/.f64 5/96 (pow.f64 x 6)) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 -3/32 (pow.f64 x 4)))))
(+.f64 (-.f64 (log.f64 x) (log.f64 1/2)) (+.f64 (/.f64 1/4 (*.f64 x x)) (+.f64 (/.f64 5/96 (pow.f64 x 6)) (/.f64 -3/32 (pow.f64 x 4)))))
(*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2)))
(neg.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 2)))
(neg.f64 (-.f64 (log.f64 2) (log.f64 (/.f64 -1 x))))
(-.f64 (log.f64 (/.f64 -1 x)) (log.f64 2))
(-.f64 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (neg.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 2))) (/.f64 1/4 (*.f64 x x)))
(fma.f64 -1 (-.f64 (log.f64 2) (log.f64 (/.f64 -1 x))) (/.f64 -1/4 (*.f64 x x)))
(-.f64 (-.f64 (log.f64 (/.f64 -1 x)) (log.f64 2)) (/.f64 1/4 (*.f64 x x)))
(+.f64 (-.f64 (log.f64 (/.f64 -1 x)) (log.f64 2)) (/.f64 -1/4 (*.f64 x x)))
(-.f64 (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2)))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 3/32 (pow.f64 x 4)) (-.f64 (neg.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 2))) (/.f64 1/4 (*.f64 x x))))
(+.f64 (-.f64 (/.f64 3/32 (pow.f64 x 4)) (-.f64 (log.f64 2) (log.f64 (/.f64 -1 x)))) (/.f64 -1/4 (*.f64 x x)))
(+.f64 (/.f64 3/32 (pow.f64 x 4)) (-.f64 (-.f64 (log.f64 (/.f64 -1 x)) (log.f64 2)) (/.f64 1/4 (*.f64 x x))))
(-.f64 (/.f64 -1/4 (*.f64 x x)) (+.f64 (-.f64 (log.f64 2) (log.f64 (/.f64 -1 x))) (/.f64 -3/32 (pow.f64 x 4))))
(-.f64 (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2)))) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (/.f64 3/32 (pow.f64 x 4)) (-.f64 (neg.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 2))) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6)))))
(+.f64 (-.f64 (-.f64 (/.f64 3/32 (pow.f64 x 4)) (-.f64 (log.f64 2) (log.f64 (/.f64 -1 x)))) (/.f64 5/96 (pow.f64 x 6))) (/.f64 -1/4 (*.f64 x x)))
(+.f64 (/.f64 3/32 (pow.f64 x 4)) (+.f64 (-.f64 (log.f64 (/.f64 -1 x)) (log.f64 2)) (-.f64 (/.f64 -1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6)))))
(+.f64 (-.f64 (/.f64 -1/4 (*.f64 x x)) (+.f64 (-.f64 (log.f64 2) (log.f64 (/.f64 -1 x))) (/.f64 -3/32 (pow.f64 x 4)))) (/.f64 -5/96 (pow.f64 x 6)))

localize66.0ms (0.7%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.1b
(*.f64 -1/18 (pow.f64 x 3))
✓0.1b
(*.f64 3 (+.f64 (*.f64 1/40 (pow.f64 x 5)) (+.f64 (*.f64 1/3 x) (*.f64 -1/18 (pow.f64 x 3)))))
0.4b
(*.f64 1/3 x)
✓20.4b
(+.f64 (*.f64 1/40 (pow.f64 x 5)) (+.f64 (*.f64 1/3 x) (*.f64 -1/18 (pow.f64 x 3))))
Compiler

Compiled 67 to 53 computations (20.9% saved)

series7.0ms (0.1%)

Counts
3 → 18
Calls

9 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(+.f64 (*.f64 1/40 (pow.f64 x 5)) (+.f64 (*.f64 1/3 x) (*.f64 -1/18 (pow.f64 x 3))))
1.0ms
x
@-inf
(*.f64 -1/18 (pow.f64 x 3))
1.0ms
x
@inf
(*.f64 -1/18 (pow.f64 x 3))
1.0ms
x
@0
(+.f64 (*.f64 1/40 (pow.f64 x 5)) (+.f64 (*.f64 1/3 x) (*.f64 -1/18 (pow.f64 x 3))))
1.0ms
x
@-inf
(+.f64 (*.f64 1/40 (pow.f64 x 5)) (+.f64 (*.f64 1/3 x) (*.f64 -1/18 (pow.f64 x 3))))

rewrite143.0ms (1.6%)

Algorithm
1×batch-egg-rewrite
Rules
728×log-prod_binary64
662×fma-def_binary64
345×fma-neg_binary64
283×expm1-udef_binary64
283×log1p-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01546
134746
2445546
Stop Event
1×node limit
Counts
3 → 159
Calls
Call 1
Inputs
(+.f64 (*.f64 1/40 (pow.f64 x 5)) (+.f64 (*.f64 1/3 x) (*.f64 -1/18 (pow.f64 x 3))))
(*.f64 3 (+.f64 (*.f64 1/40 (pow.f64 x 5)) (+.f64 (*.f64 1/3 x) (*.f64 -1/18 (pow.f64 x 3)))))
(*.f64 -1/18 (pow.f64 x 3))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 1/40 (pow.f64 x 5) (fma.f64 -1/18 (pow.f64 x 3) (*.f64 x 1/3))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (pow.f64 x 10) 1/1600) (-.f64 (*.f64 1/40 (pow.f64 x 5)) (fma.f64 -1/18 (pow.f64 x 3) (*.f64 x 1/3)))) (/.f64 (pow.f64 (fma.f64 -1/18 (pow.f64 x 3) (*.f64 x 1/3)) 2) (-.f64 (*.f64 1/40 (pow.f64 x 5)) (fma.f64 -1/18 (pow.f64 x 3) (*.f64 x 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 1/40 (pow.f64 x 5) (fma.f64 -1/18 (pow.f64 x 3) (*.f64 x 1/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 1/40 (pow.f64 x 5) (fma.f64 -1/18 (pow.f64 x 3) (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 1/40 (pow.f64 x 5) (fma.f64 -1/18 (pow.f64 x 3) (*.f64 x 1/3)))) (cbrt.f64 (pow.f64 (fma.f64 1/40 (pow.f64 x 5) (fma.f64 -1/18 (pow.f64 x 3) (*.f64 x 1/3))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 1/40 (pow.f64 x 5) (fma.f64 -1/18 (pow.f64 x 3) (*.f64 x 1/3))) 2)) (cbrt.f64 (fma.f64 1/40 (pow.f64 x 5) (fma.f64 -1/18 (pow.f64 x 3) (*.f64 x 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 1/40 (pow.f64 x 5) (fma.f64 -1/18 (pow.f64 x 3) (*.f64 x 1/3)))) (sqrt.f64 (fma.f64 1/40 (pow.f64 x 5) (fma.f64 -1/18 (pow.f64 x 3) (*.f64 x 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 (pow.f64 x 5) 3) 1/64000 (pow.f64 (fma.f64 -1/18 (pow.f64 x 3) (*.f64 x 1/3)) 3)) (/.f64 1 (fma.f64 (fma.f64 -1/18 (pow.f64 x 3) (*.f64 x 1/3)) (-.f64 (fma.f64 -1/18 (pow.f64 x 3) (*.f64 x 1/3)) (*.f64 1/40 (pow.f64 x 5))) (*.f64 (pow.f64 x 10) 1/1600))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (pow.f64 x 10) 1/1600) (pow.f64 (fma.f64 -1/18 (pow.f64 x 3) (*.f64 x 1/3)) 2)) (/.f64 1 (-.f64 (*.f64 1/40 (pow.f64 x 5)) (fma.f64 -1/18 (pow.f64 x 3) (*.f64 x 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (fma.f64 -1/18 (pow.f64 x 3) (*.f64 x 1/3)) (-.f64 (fma.f64 -1/18 (pow.f64 x 3) (*.f64 x 1/3)) (*.f64 1/40 (pow.f64 x 5))) (*.f64 (pow.f64 x 10) 1/1600)) (fma.f64 (pow.f64 (pow.f64 x 5) 3) 1/64000 (pow.f64 (fma.f64 -1/18 (pow.f64 x 3) (*.f64 x 1/3)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (*.f64 1/40 (pow.f64 x 5)) (fma.f64 -1/18 (pow.f64 x 3) (*.f64 x 1/3))) (-.f64 (*.f64 (pow.f64 x 10) 1/1600) (pow.f64 (fma.f64 -1/18 (pow.f64 x 3) (*.f64 x 1/3)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 (pow.f64 x 5) 3) 1/64000 (pow.f64 (fma.f64 -1/18 (pow.f64 x 3) (*.f64 x 1/3)) 3)) (fma.f64 (fma.f64 -1/18 (pow.f64 x 3) (*.f64 x 1/3)) (-.f64 (fma.f64 -1/18 (pow.f64 x 3) (*.f64 x 1/3)) (*.f64 1/40 (pow.f64 x 5))) (*.f64 (pow.f64 x 10) 1/1600)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 (pow.f64 x 5) 3) 1/64000 (pow.f64 (fma.f64 -1/18 (pow.f64 x 3) (*.f64 x 1/3)) 3)) (+.f64 (pow.f64 (fma.f64 -1/18 (pow.f64 x 3) (*.f64 x 1/3)) 2) (-.f64 (*.f64 (pow.f64 x 10) 1/1600) (*.f64 (*.f64 1/40 (pow.f64 x 5)) (fma.f64 -1/18 (pow.f64 x 3) (*.f64 x 1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 x 10) 1/1600) (pow.f64 (fma.f64 -1/18 (pow.f64 x 3) (*.f64 x 1/3)) 2)) (-.f64 (*.f64 1/40 (pow.f64 x 5)) (fma.f64 -1/18 (pow.f64 x 3) (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 (pow.f64 (pow.f64 x 5) 3) 1/64000 (pow.f64 (fma.f64 -1/18 (pow.f64 x 3) (*.f64 x 1/3)) 3))) (neg.f64 (fma.f64 (fma.f64 -1/18 (pow.f64 x 3) (*.f64 x 1/3)) (-.f64 (fma.f64 -1/18 (pow.f64 x 3) (*.f64 x 1/3)) (*.f64 1/40 (pow.f64 x 5))) (*.f64 (pow.f64 x 10) 1/1600))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x 10) 1/1600) (pow.f64 (fma.f64 -1/18 (pow.f64 x 3) (*.f64 x 1/3)) 2))) (neg.f64 (-.f64 (*.f64 1/40 (pow.f64 x 5)) (fma.f64 -1/18 (pow.f64 x 3) (*.f64 x 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 1/40 (pow.f64 x 5) (*.f64 x 1/3)) 3) (pow.f64 (*.f64 -1/18 (pow.f64 x 3)) 3)) (fma.f64 (fma.f64 1/40 (pow.f64 x 5) (*.f64 x 1/3)) (fma.f64 1/40 (pow.f64 x 5) (*.f64 x 1/3)) (-.f64 (*.f64 1/324 (pow.f64 x 6)) (*.f64 (fma.f64 1/40 (pow.f64 x 5) (*.f64 x 1/3)) (*.f64 -1/18 (pow.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 -1/18 (pow.f64 x 3) (*.f64 x 1/3)) 2) (*.f64 (pow.f64 x 10) 1/1600)) (-.f64 (fma.f64 -1/18 (pow.f64 x 3) (*.f64 x 1/3)) (*.f64 1/40 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (fma.f64 1/40 (pow.f64 x 5) (*.f64 x 1/3)) (fma.f64 1/40 (pow.f64 x 5) (*.f64 x 1/3)) (neg.f64 (*.f64 1/324 (pow.f64 x 6)))) (-.f64 (fma.f64 1/40 (pow.f64 x 5) (*.f64 x 1/3)) (*.f64 -1/18 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 1/40 (pow.f64 x 5) (fma.f64 -1/18 (pow.f64 x 3) (*.f64 x 1/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 1/40 (pow.f64 x 5) (fma.f64 -1/18 (pow.f64 x 3) (*.f64 x 1/3))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 1/40 (pow.f64 x 5) (fma.f64 -1/18 (pow.f64 x 3) (*.f64 x 1/3)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 1/40 (pow.f64 x 5) (fma.f64 -1/18 (pow.f64 x 3) (*.f64 x 1/3)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 1/40 (pow.f64 x 5) (fma.f64 -1/18 (pow.f64 x 3) (*.f64 x 1/3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 1/40 (pow.f64 x 5) (fma.f64 -1/18 (pow.f64 x 3) (*.f64 x 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/40 (pow.f64 x 5) (fma.f64 -1/18 (pow.f64 x 3) (*.f64 x 1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 1/40 (pow.f64 x 5)))) (exp.f64 (fma.f64 -1/18 (pow.f64 x 3) (*.f64 x 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 (pow.f64 x 5)) 1/40) (+.f64 1 (expm1.f64 (fma.f64 -1/18 (pow.f64 x 3) (*.f64 x 1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 1/40 (pow.f64 x 5)))) (+.f64 1 (expm1.f64 (fma.f64 -1/18 (pow.f64 x 3) (*.f64 x 1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 -1/18) (pow.f64 x 3)) (exp.f64 (fma.f64 1/40 (pow.f64 x 5) (*.f64 x 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 -1/18 (pow.f64 x 3)))) (exp.f64 (fma.f64 1/40 (pow.f64 x 5) (*.f64 x 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 -1/18) (pow.f64 x 3)) (*.f64 (pow.f64 (exp.f64 (pow.f64 x 5)) 1/40) (pow.f64 (exp.f64 1/3) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 -1/18 (pow.f64 x 3)))) (*.f64 (pow.f64 (exp.f64 (pow.f64 x 5)) 1/40) (pow.f64 (exp.f64 1/3) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/18 (pow.f64 x 3) (*.f64 x 1/3)))) (pow.f64 (exp.f64 (pow.f64 x 5)) 1/40)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (fma.f64 -1/18 (pow.f64 x 3) (*.f64 x 1/3))) (+.f64 1 (expm1.f64 (*.f64 1/40 (pow.f64 x 5))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/18 (pow.f64 x 3) (*.f64 x 1/3)))) (+.f64 1 (expm1.f64 (*.f64 1/40 (pow.f64 x 5))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (*.f64 (pow.f64 (exp.f64 (pow.f64 x 5)) 1/40) (pow.f64 (exp.f64 1/3) x)) (pow.f64 (exp.f64 -1/18) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (fma.f64 1/40 (pow.f64 x 5) (*.f64 x 1/3))) (+.f64 1 (expm1.f64 (*.f64 -1/18 (pow.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (*.f64 (pow.f64 (exp.f64 (pow.f64 x 5)) 1/40) (pow.f64 (exp.f64 1/3) x)) (+.f64 1 (expm1.f64 (*.f64 -1/18 (pow.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 1/40 (pow.f64 x 5) (fma.f64 -1/18 (pow.f64 x 3) (*.f64 x 1/3))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 1/40 (pow.f64 x 5) (fma.f64 -1/18 (pow.f64 x 3) (*.f64 x 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 1/40 (pow.f64 x 5) (fma.f64 -1/18 (pow.f64 x 3) (*.f64 x 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 1/40 (pow.f64 x 5) (fma.f64 -1/18 (pow.f64 x 3) (*.f64 x 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 1/40 (pow.f64 x 5) (fma.f64 -1/18 (pow.f64 x 3) (*.f64 x 1/3)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/40 (pow.f64 x 5) (fma.f64 -1/18 (pow.f64 x 3) (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1/3 (fma.f64 -1/18 (pow.f64 x 3) (*.f64 1/40 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 (*.f64 x x) -1/18) (fma.f64 1/40 (pow.f64 x 5) (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 5) 1/40 (fma.f64 -1/18 (pow.f64 x 3) (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/40 (pow.f64 x 5)) 1 (fma.f64 -1/18 (pow.f64 x 3) (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/3 x (fma.f64 -1/18 (pow.f64 x 3) (*.f64 1/40 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x 1/3) 1 (fma.f64 -1/18 (pow.f64 x 3) (*.f64 1/40 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/18 (pow.f64 x 3) (fma.f64 1/40 (pow.f64 x 5) (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 3) -1/18 (fma.f64 1/40 (pow.f64 x 5) (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/18 (pow.f64 x 3)) 1 (fma.f64 1/40 (pow.f64 x 5) (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 -1/18 (pow.f64 x 3) (*.f64 x 1/3)) 1 (*.f64 1/40 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 1/40 (pow.f64 x 5)) (fma.f64 -1/18 (pow.f64 x 3) (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x 1/3) (fma.f64 -1/18 (pow.f64 x 3) (*.f64 1/40 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 -1/18 (pow.f64 x 3)) (fma.f64 1/40 (pow.f64 x 5) (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 -1/18 (pow.f64 x 3) (*.f64 x 1/3)) (*.f64 1/40 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 1/40 (pow.f64 x 5) (*.f64 x 1/3)) (*.f64 -1/18 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) (*.f64 x -1/18) (fma.f64 1/40 (pow.f64 x 5) (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (cbrt.f64 -1/18)) (pow.f64 (*.f64 x (cbrt.f64 -1/18)) 2) (fma.f64 1/40 (pow.f64 x 5) (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 x (cbrt.f64 -1/18)) 2) (*.f64 x (cbrt.f64 -1/18)) (fma.f64 1/40 (pow.f64 x 5) (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 1/40 (pow.f64 x 5))) (cbrt.f64 (*.f64 (pow.f64 x 10) 1/1600)) (fma.f64 -1/18 (pow.f64 x 3) (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 10) 1/1600)) (cbrt.f64 (*.f64 1/40 (pow.f64 x 5))) (fma.f64 -1/18 (pow.f64 x 3) (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1/3) (fma.f64 -1/18 (pow.f64 x 3) (*.f64 1/40 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x 1/3)) (cbrt.f64 (*.f64 (*.f64 x x) 1/9)) (fma.f64 -1/18 (pow.f64 x 3) (*.f64 1/40 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (*.f64 x x) 1/9)) (cbrt.f64 (*.f64 x 1/3)) (fma.f64 -1/18 (pow.f64 x 3) (*.f64 1/40 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x 10)) (*.f64 (cbrt.f64 (pow.f64 x 5)) 1/40) (fma.f64 -1/18 (pow.f64 x 3) (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 -1/18 (pow.f64 x 3) (*.f64 x 1/3))) (pow.f64 (cbrt.f64 (fma.f64 -1/18 (pow.f64 x 3) (*.f64 x 1/3))) 2) (*.f64 1/40 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/18 (pow.f64 x 3) (*.f64 x 1/3))) 2) (cbrt.f64 (fma.f64 -1/18 (pow.f64 x 3) (*.f64 x 1/3))) (*.f64 1/40 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 -1/18) (pow.f64 x 3/2)) (*.f64 (sqrt.f64 -1/18) (pow.f64 x 3/2)) (fma.f64 1/40 (pow.f64 x 5) (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 1/40) (pow.f64 x 5/2)) (*.f64 (sqrt.f64 1/40) (pow.f64 x 5/2)) (fma.f64 -1/18 (pow.f64 x 3) (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1/3) (fma.f64 -1/18 (pow.f64 x 3) (*.f64 1/40 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x 1/3)) (sqrt.f64 (*.f64 x 1/3)) (fma.f64 -1/18 (pow.f64 x 3) (*.f64 1/40 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 -1/18 (pow.f64 x 3) (*.f64 x 1/3))) (sqrt.f64 (fma.f64 -1/18 (pow.f64 x 3) (*.f64 x 1/3))) (*.f64 1/40 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 (pow.f64 x 3) 1/27 (pow.f64 (*.f64 -1/18 (pow.f64 x 3)) 3)) (/.f64 1 (-.f64 (fma.f64 (*.f64 x x) 1/9 (*.f64 1/324 (pow.f64 x 6))) (*.f64 1/3 (*.f64 x (*.f64 -1/18 (pow.f64 x 3)))))) (*.f64 1/40 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 (*.f64 x x) 1/9) (*.f64 1/324 (pow.f64 x 6))) (/.f64 1 (fma.f64 x 1/3 (*.f64 1/18 (pow.f64 x 3)))) (*.f64 1/40 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 5/2) (*.f64 (pow.f64 x 5/2) 1/40) (fma.f64 -1/18 (pow.f64 x 3) (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 3/2) (*.f64 (pow.f64 x 3/2) -1/18) (fma.f64 1/40 (pow.f64 x 5) (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 1/40 (pow.f64 x 5) (*.f64 x 1/3)) 1 (*.f64 -1/18 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (fma.f64 1/40 (pow.f64 x 5) (*.f64 x 1/3))) (cbrt.f64 (fma.f64 1/40 (pow.f64 x 5) (*.f64 x 1/3)))) (cbrt.f64 (fma.f64 1/40 (pow.f64 x 5) (*.f64 x 1/3))) (*.f64 -1/18 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 1/40 (pow.f64 x 5) (*.f64 x 1/3))) (sqrt.f64 (fma.f64 1/40 (pow.f64 x 5) (*.f64 x 1/3))) (*.f64 -1/18 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/3 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (fma.f64 -1/18 (pow.f64 x 3) (*.f64 1/40 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/3 (sqrt.f64 x)) (sqrt.f64 x) (fma.f64 -1/18 (pow.f64 x 3) (*.f64 1/40 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/18 x) (*.f64 x x) (fma.f64 1/40 (pow.f64 x 5) (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/18 (*.f64 x x)) x (fma.f64 1/40 (pow.f64 x 5) (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/18 (pow.f64 x 3/2)) (pow.f64 x 3/2) (fma.f64 1/40 (pow.f64 x 5) (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/40 (cbrt.f64 (pow.f64 x 10))) (cbrt.f64 (pow.f64 x 5)) (fma.f64 -1/18 (pow.f64 x 3) (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/40 (pow.f64 x 5/2)) (pow.f64 x 5/2) (fma.f64 -1/18 (pow.f64 x 3) (*.f64 x 1/3)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 x 5) 3/40) (*.f64 3 (fma.f64 -1/18 (pow.f64 x 3) (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 3 (fma.f64 -1/18 (pow.f64 x 3) (*.f64 x 1/3))) (*.f64 (pow.f64 x 5) 3/40))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 3 (fma.f64 -1/18 (pow.f64 x 3) (*.f64 x 1/3)) (*.f64 (pow.f64 x 5) 3/40)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (fma.f64 1/40 (pow.f64 x 5) (*.f64 x 1/3)) 3) (*.f64 (*.f64 -1/18 (pow.f64 x 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (pow.f64 x 5) 3/40) 1) (*.f64 (*.f64 3 (fma.f64 -1/18 (pow.f64 x 3) (*.f64 x 1/3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 3 (fma.f64 1/40 (pow.f64 x 5) (*.f64 x 1/3))) (*.f64 3 (*.f64 -1/18 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 3 (fma.f64 -1/18 (pow.f64 x 3) (*.f64 x 1/3)) (*.f64 (pow.f64 x 5) 3/40)))) (cbrt.f64 (exp.f64 (fma.f64 3 (fma.f64 -1/18 (pow.f64 x 3) (*.f64 x 1/3)) (*.f64 (pow.f64 x 5) 3/40)))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 3 (fma.f64 -1/18 (pow.f64 x 3) (*.f64 x 1/3)) (*.f64 (pow.f64 x 5) 3/40))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 3 (fma.f64 -1/18 (pow.f64 x 3) (*.f64 x 1/3)) (*.f64 (pow.f64 x 5) 3/40))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 3 (fma.f64 -1/18 (pow.f64 x 3) (*.f64 x 1/3)) (*.f64 (pow.f64 x 5) 3/40))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 3 (fma.f64 -1/18 (pow.f64 x 3) (*.f64 x 1/3)) (*.f64 (pow.f64 x 5) 3/40)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 x 5) 3/40) 3) (pow.f64 (*.f64 3 (fma.f64 -1/18 (pow.f64 x 3) (*.f64 x 1/3))) 3)) (fma.f64 (*.f64 (pow.f64 x 5) 3/40) (*.f64 (pow.f64 x 5) 3/40) (-.f64 (*.f64 (*.f64 3 (fma.f64 -1/18 (pow.f64 x 3) (*.f64 x 1/3))) (*.f64 3 (fma.f64 -1/18 (pow.f64 x 3) (*.f64 x 1/3)))) (*.f64 (*.f64 (pow.f64 x 5) 3/40) (*.f64 3 (fma.f64 -1/18 (pow.f64 x 3) (*.f64 x 1/3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 (pow.f64 x 5) 3/40) (*.f64 (pow.f64 x 5) 3/40)) (*.f64 (*.f64 3 (fma.f64 -1/18 (pow.f64 x 3) (*.f64 x 1/3))) (*.f64 3 (fma.f64 -1/18 (pow.f64 x 3) (*.f64 x 1/3))))) (-.f64 (*.f64 (pow.f64 x 5) 3/40) (*.f64 3 (fma.f64 -1/18 (pow.f64 x 3) (*.f64 x 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 (pow.f64 (pow.f64 x 5) 3) 1/64000 (pow.f64 (fma.f64 -1/18 (pow.f64 x 3) (*.f64 x 1/3)) 3)) 3) (fma.f64 (fma.f64 -1/18 (pow.f64 x 3) (*.f64 x 1/3)) (-.f64 (fma.f64 -1/18 (pow.f64 x 3) (*.f64 x 1/3)) (*.f64 1/40 (pow.f64 x 5))) (*.f64 (pow.f64 x 10) 1/1600)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x 10) 1/1600) (pow.f64 (fma.f64 -1/18 (pow.f64 x 3) (*.f64 x 1/3)) 2)) 3) (-.f64 (*.f64 1/40 (pow.f64 x 5)) (fma.f64 -1/18 (pow.f64 x 3) (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 3 (fma.f64 (pow.f64 (pow.f64 x 5) 3) 1/64000 (pow.f64 (fma.f64 -1/18 (pow.f64 x 3) (*.f64 x 1/3)) 3))) (fma.f64 (fma.f64 -1/18 (pow.f64 x 3) (*.f64 x 1/3)) (-.f64 (fma.f64 -1/18 (pow.f64 x 3) (*.f64 x 1/3)) (*.f64 1/40 (pow.f64 x 5))) (*.f64 (pow.f64 x 10) 1/1600)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 3 (-.f64 (*.f64 (pow.f64 x 10) 1/1600) (pow.f64 (fma.f64 -1/18 (pow.f64 x 3) (*.f64 x 1/3)) 2))) (-.f64 (*.f64 1/40 (pow.f64 x 5)) (fma.f64 -1/18 (pow.f64 x 3) (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 3 (fma.f64 -1/18 (pow.f64 x 3) (*.f64 x 1/3)) (*.f64 (pow.f64 x 5) 3/40)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 3 (fma.f64 -1/18 (pow.f64 x 3) (*.f64 x 1/3)) (*.f64 (pow.f64 x 5) 3/40)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 3 (fma.f64 -1/18 (pow.f64 x 3) (*.f64 x 1/3)) (*.f64 (pow.f64 x 5) 3/40))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 3 (fma.f64 -1/18 (pow.f64 x 3) (*.f64 x 1/3)) (*.f64 (pow.f64 x 5) 3/40))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (fma.f64 1/40 (pow.f64 x 5) (fma.f64 -1/18 (pow.f64 x 3) (*.f64 x 1/3))) 2) 9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 3 (fma.f64 -1/18 (pow.f64 x 3) (*.f64 x 1/3)) (*.f64 (pow.f64 x 5) 3/40))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 3 (fma.f64 -1/18 (pow.f64 x 3) (*.f64 x 1/3)) (*.f64 (pow.f64 x 5) 3/40)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 3 (fma.f64 -1/18 (pow.f64 x 3) (*.f64 x 1/3)))) (exp.f64 (*.f64 (pow.f64 x 5) 3/40))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 3 (fma.f64 -1/18 (pow.f64 x 3) (*.f64 x 1/3)) (*.f64 (pow.f64 x 5) 3/40)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 3 (fma.f64 -1/18 (pow.f64 x 3) (*.f64 x 1/3)) (*.f64 (pow.f64 x 5) 3/40))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 3 (fma.f64 -1/18 (pow.f64 x 3) (*.f64 x 1/3)) (*.f64 (pow.f64 x 5) 3/40))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 3 (fma.f64 -1/18 (pow.f64 x 3) (*.f64 x 1/3)) (*.f64 (pow.f64 x 5) 3/40))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 3 (fma.f64 -1/18 (pow.f64 x 3) (*.f64 x 1/3)) (*.f64 (pow.f64 x 5) 3/40))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/40 (*.f64 (pow.f64 x 5) 3) (*.f64 3 (fma.f64 -1/18 (pow.f64 x 3) (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 5) 3/40 (*.f64 3 (fma.f64 -1/18 (pow.f64 x 3) (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/40 (pow.f64 x 5)) 3 (*.f64 3 (fma.f64 -1/18 (pow.f64 x 3) (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 3 (*.f64 1/40 (pow.f64 x 5)) (*.f64 3 (fma.f64 -1/18 (pow.f64 x 3) (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 3 (fma.f64 -1/18 (pow.f64 x 3) (*.f64 x 1/3)) (*.f64 (pow.f64 x 5) 3/40))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 3 (fma.f64 1/40 (pow.f64 x 5) (*.f64 x 1/3)) (*.f64 3 (*.f64 -1/18 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 -1/18 (pow.f64 x 3) (*.f64 x 1/3)) 3 (*.f64 (pow.f64 x 5) 3/40))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (pow.f64 x 5) 3/40) (*.f64 3 (fma.f64 -1/18 (pow.f64 x 3) (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 3 (fma.f64 -1/18 (pow.f64 x 3) (*.f64 x 1/3))) (*.f64 (pow.f64 x 5) 3/40))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 10) 1/1600)) (*.f64 (cbrt.f64 (*.f64 1/40 (pow.f64 x 5))) 3) (*.f64 3 (fma.f64 -1/18 (pow.f64 x 3) (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/18 (pow.f64 x 3) (*.f64 x 1/3))) 2) (*.f64 (cbrt.f64 (fma.f64 -1/18 (pow.f64 x 3) (*.f64 x 1/3))) 3) (*.f64 (pow.f64 x 5) 3/40))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 1/40) (pow.f64 x 5/2)) (*.f64 (*.f64 (sqrt.f64 1/40) (pow.f64 x 5/2)) 3) (*.f64 3 (fma.f64 -1/18 (pow.f64 x 3) (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 -1/18 (pow.f64 x 3) (*.f64 x 1/3))) (*.f64 (sqrt.f64 (fma.f64 -1/18 (pow.f64 x 3) (*.f64 x 1/3))) 3) (*.f64 (pow.f64 x 5) 3/40))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (pow.f64 x 5) 3/40) 1 (*.f64 (*.f64 3 (fma.f64 -1/18 (pow.f64 x 3) (*.f64 x 1/3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 1/40 (pow.f64 x 5) (*.f64 x 1/3)) 3 (*.f64 (*.f64 -1/18 (pow.f64 x 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (*.f64 (pow.f64 x 5) 3/40)) (cbrt.f64 (*.f64 (pow.f64 x 5) 3/40))) (cbrt.f64 (*.f64 (pow.f64 x 5) 3/40)) (*.f64 3 (fma.f64 -1/18 (pow.f64 x 3) (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (*.f64 3 (fma.f64 -1/18 (pow.f64 x 3) (*.f64 x 1/3)))) (cbrt.f64 (*.f64 3 (fma.f64 -1/18 (pow.f64 x 3) (*.f64 x 1/3))))) (cbrt.f64 (*.f64 3 (fma.f64 -1/18 (pow.f64 x 3) (*.f64 x 1/3)))) (*.f64 (pow.f64 x 5) 3/40))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (pow.f64 x 5) 3/40)) (sqrt.f64 (*.f64 (pow.f64 x 5) 3/40)) (*.f64 3 (fma.f64 -1/18 (pow.f64 x 3) (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 3 (fma.f64 -1/18 (pow.f64 x 3) (*.f64 x 1/3)))) (sqrt.f64 (*.f64 3 (fma.f64 -1/18 (pow.f64 x 3) (*.f64 x 1/3)))) (*.f64 (pow.f64 x 5) 3/40))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 3/40 (pow.f64 x 5) (*.f64 3 (fma.f64 -1/18 (pow.f64 x 3) (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 3 (pow.f64 (cbrt.f64 (fma.f64 -1/18 (pow.f64 x 3) (*.f64 x 1/3))) 2)) (cbrt.f64 (fma.f64 -1/18 (pow.f64 x 3) (*.f64 x 1/3))) (*.f64 (pow.f64 x 5) 3/40))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 3 (sqrt.f64 (fma.f64 -1/18 (pow.f64 x 3) (*.f64 x 1/3)))) (sqrt.f64 (fma.f64 -1/18 (pow.f64 x 3) (*.f64 x 1/3))) (*.f64 (pow.f64 x 5) 3/40))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 3 (pow.f64 x 5)) 1/40 (*.f64 3 (fma.f64 -1/18 (pow.f64 x 3) (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 3 (cbrt.f64 (*.f64 (pow.f64 x 10) 1/1600))) (cbrt.f64 (*.f64 1/40 (pow.f64 x 5))) (*.f64 3 (fma.f64 -1/18 (pow.f64 x 3) (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 3 (*.f64 (sqrt.f64 1/40) (pow.f64 x 5/2))) (*.f64 (sqrt.f64 1/40) (pow.f64 x 5/2)) (*.f64 3 (fma.f64 -1/18 (pow.f64 x 3) (*.f64 x 1/3))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 -1/18 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/18) (pow.f64 x 3))) (cbrt.f64 (pow.f64 (exp.f64 -1/18) (pow.f64 x 3))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/18) (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/18) (pow.f64 x 3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/18) (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -1/18 (pow.f64 x 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/18 (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (cbrt.f64 -1/18)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 -1/18) (pow.f64 x 3/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -1/18 (pow.f64 x 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/324 (pow.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -1/18) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/18 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -1/18 (pow.f64 x 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -1/18 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -1/18 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 3 (log.f64 x) (log.f64 -1/18)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (fma.f64 3 (log.f64 x) (log.f64 -1/18)) 1))))))

simplify177.0ms (2%)

Algorithm
1×egg-herbie
Rules
790×sqr-pow_binary64
712×cube-prod_binary64
680×fabs-mul_binary64
664×pow-sqr_binary64
416×unswap-sqr_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
022198
152198
2109198
3252198
4477198
51202198
61633198
72279198
82387198
92559198
102778198
113110198
123574198
134182198
144935198
155869198
166379198
176867198
187265198
197589198
207747198
Stop Event
1×node limit
Counts
177 → 174
Calls
Call 1
Inputs
(*.f64 1/3 x)
(+.f64 (*.f64 1/3 x) (*.f64 -1/18 (pow.f64 x 3)))
(*.f64 1/40 (pow.f64 x 5))
(+.f64 (*.f64 1/40 (pow.f64 x 5)) (*.f64 -1/18 (pow.f64 x 3)))
(*.f64 1/40 (pow.f64 x 5))
(+.f64 (*.f64 1/40 (pow.f64 x 5)) (*.f64 -1/18 (pow.f64 x 3)))
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)) x))
(*.f64 3/40 (pow.f64 x 5))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 3/40 (pow.f64 x 5)))
(+.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)) x))
(*.f64 3/40 (pow.f64 x 5))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 3/40 (pow.f64 x 5)))
(+.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)) x))
Outputs
(*.f64 1/3 x)
(+.f64 (*.f64 1/3 x) (*.f64 -1/18 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 -1/18 (pow.f64 x 3)))
(*.f64 x (fma.f64 -1/18 (*.f64 x x) 1/3))
(fma.f64 -1/18 (pow.f64 x 3) (*.f64 1/3 x))
(*.f64 1/40 (pow.f64 x 5))
(+.f64 (*.f64 1/40 (pow.f64 x 5)) (*.f64 -1/18 (pow.f64 x 3)))
(fma.f64 1/40 (pow.f64 x 5) (*.f64 -1/18 (pow.f64 x 3)))
(fma.f64 -1/18 (pow.f64 x 3) (*.f64 1/40 (pow.f64 x 5)))
(*.f64 1/40 (pow.f64 x 5))
(+.f64 (*.f64 1/40 (pow.f64 x 5)) (*.f64 -1/18 (pow.f64 x 3)))
(fma.f64 1/40 (pow.f64 x 5) (*.f64 -1/18 (pow.f64 x 3)))
(fma.f64 -1/18 (pow.f64 x 3) (*.f64 1/40 (pow.f64 x 5)))
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(fma.f64 (pow.f64 x 3) -1/6 x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.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))
(fma.f64 (pow.f64 x 3) -1/6 (fma.f64 (pow.f64 x 5) 3/40 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))
(fma.f64 (pow.f64 x 3) -1/6 (fma.f64 (pow.f64 x 5) 3/40 x))
(*.f64 3/40 (pow.f64 x 5))
(*.f64 (pow.f64 x 5) 3/40)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 3/40 (pow.f64 x 5)))
(fma.f64 -1/6 (pow.f64 x 3) (*.f64 (pow.f64 x 5) 3/40))
(fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 5) 3/40))
(+.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))
(fma.f64 (pow.f64 x 3) -1/6 (fma.f64 (pow.f64 x 5) 3/40 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))
(fma.f64 (pow.f64 x 3) -1/6 (fma.f64 (pow.f64 x 5) 3/40 x))
(*.f64 3/40 (pow.f64 x 5))
(*.f64 (pow.f64 x 5) 3/40)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 3/40 (pow.f64 x 5)))
(fma.f64 -1/6 (pow.f64 x 3) (*.f64 (pow.f64 x 5) 3/40))
(fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 5) 3/40))
(+.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))
(fma.f64 (pow.f64 x 3) -1/6 (fma.f64 (pow.f64 x 5) 3/40 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))
(fma.f64 (pow.f64 x 3) -1/6 (fma.f64 (pow.f64 x 5) 3/40 x))

eval318.0ms (3.5%)

Compiler

Compiled 12961 to 10203 computations (21.3% saved)

prune292.0ms (3.2%)

Pruning

19 alts after pruning (8 fresh and 11 done)

PrunedKeptTotal
New7056711
Fresh123
Picked011
Done21012
Total70819727
Error
0b
Counts
727 → 19
Alt Table
Click to see full alt table
StatusErrorProgram
31.4b
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (fma.f64 (fma.f64 3/40 (pow.f64 x 5) (*.f64 -5/112 (pow.f64 x 7))) 1 x))
59.8b
(*.f64 3 (-.f64 (+.f64 1 (*.f64 1/3 x)) 1))
31.8b
(*.f64 3 (*.f64 x (/.f64 (-.f64 (*.f64 (*.f64 -1/18 (*.f64 x x)) (*.f64 -1/18 (*.f64 x x))) 1/9) (-.f64 (*.f64 -1/18 (*.f64 x x)) 1/3))))
30.2b
x
✓45.9b
(log.f64 (+.f64 x (hypot.f64 1 x)))
✓45.9b
(*.f64 3 (*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1/3))
31.4b
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) (+.f64 (-.f64 (exp.f64 (log1p.f64 (*.f64 -5/112 (pow.f64 x 7)))) 1) x)))
✓44.6b
(-.f64 (+.f64 1 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 1)
✓48.6b
(log.f64 (*.f64 x 2))
61.1b
(-.f64 (+.f64 1 (neg.f64 (-.f64 (*.f64 1/6 (pow.f64 x 3)) x))) 1)
61.2b
(*.f64 3 (-.f64 (+.f64 1 (*.f64 x (fma.f64 -1/18 (*.f64 x x) 1/3))) 1))
✓44.6b
(log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)))
31.8b
(*.f64 3 (*.f64 x (+.f64 (*.f64 -1/18 (*.f64 x x)) 1/3)))
✓31.4b
(*.f64 3 (+.f64 (*.f64 1/40 (pow.f64 x 5)) (+.f64 (*.f64 1/3 x) (*.f64 -1/18 (pow.f64 x 3)))))
✓47.4b
(log.f64 (/.f64 -1/2 x))
✓44.6b
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
✓31.2b
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) x))
✓30.4b
(*.f64 3 (*.f64 1/3 x))
✓31.4b
(+.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)))
Compiler

Compiled 237 to 187 computations (21.1% saved)

regimes73.0ms (0.8%)

Counts
29 → 3
Calls
Call 1
Inputs
x
x
x
x
(*.f64 3 (*.f64 1/3 x))
(*.f64 3 (-.f64 (+.f64 1 (*.f64 1/3 x)) 1))
(*.f64 3 (*.f64 x (+.f64 (*.f64 -1/18 (*.f64 x x)) 1/3)))
(*.f64 3 (*.f64 x (/.f64 (-.f64 (*.f64 (*.f64 -1/18 (*.f64 x x)) (*.f64 -1/18 (*.f64 x x))) 1/9) (-.f64 (*.f64 -1/18 (*.f64 x x)) 1/3))))
(log.f64 (*.f64 x 2))
(log.f64 (/.f64 -1/2 x))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(*.f64 3 (*.f64 x (fma.f64 -1/18 (*.f64 x x) 1/3)))
(-.f64 (+.f64 1 (neg.f64 (-.f64 (*.f64 1/6 (pow.f64 x 3)) x))) 1)
(*.f64 3 (-.f64 (+.f64 1 (*.f64 x (fma.f64 -1/18 (*.f64 x x) 1/3))) 1))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)))
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
(*.f64 3 (*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1/3))
(-.f64 (+.f64 1 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 1)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) x))
(log.f64 (/.f64 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x)) (-.f64 (hypot.f64 1 x) x)))
(*.f64 3 (+.f64 (*.f64 1/40 (pow.f64 x 5)) (+.f64 (*.f64 1/3 x) (*.f64 -1/18 (pow.f64 x 3)))))
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 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 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) x)))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (fma.f64 (fma.f64 3/40 (pow.f64 x 5) (*.f64 -5/112 (pow.f64 x 7))) 1 x))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) (+.f64 (-.f64 (exp.f64 (log1p.f64 (*.f64 -5/112 (pow.f64 x 7)))) 1) x)))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
Outputs
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) (+.f64 (-.f64 (exp.f64 (log1p.f64 (*.f64 -5/112 (pow.f64 x 7)))) 1) x)))
(log.f64 (*.f64 x 2))
Calls

3 calls:

39.0ms
x
13.0ms
(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))
10.0ms
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
Results
ErrorSegmentsBranch
0.0b3x
8.3b3(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
8.3b3(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))
Compiler

Compiled 328 to 238 computations (27.4% saved)

bsearch49.0ms (0.5%)

Algorithm
2×binary-search
Steps
TimeLeftRight
24.0ms
0.022920886216637876
5027483591309.676
24.0ms
-0.2877721875285317
-0.013676877719447356
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes74.0ms (0.8%)

Counts
27 → 3
Calls
Call 1
Inputs
x
x
x
x
(*.f64 3 (*.f64 1/3 x))
(*.f64 3 (-.f64 (+.f64 1 (*.f64 1/3 x)) 1))
(*.f64 3 (*.f64 x (+.f64 (*.f64 -1/18 (*.f64 x x)) 1/3)))
(*.f64 3 (*.f64 x (/.f64 (-.f64 (*.f64 (*.f64 -1/18 (*.f64 x x)) (*.f64 -1/18 (*.f64 x x))) 1/9) (-.f64 (*.f64 -1/18 (*.f64 x x)) 1/3))))
(log.f64 (*.f64 x 2))
(log.f64 (/.f64 -1/2 x))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(*.f64 3 (*.f64 x (fma.f64 -1/18 (*.f64 x x) 1/3)))
(-.f64 (+.f64 1 (neg.f64 (-.f64 (*.f64 1/6 (pow.f64 x 3)) x))) 1)
(*.f64 3 (-.f64 (+.f64 1 (*.f64 x (fma.f64 -1/18 (*.f64 x x) 1/3))) 1))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)))
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
(*.f64 3 (*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1/3))
(-.f64 (+.f64 1 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 1)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) x))
(log.f64 (/.f64 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x)) (-.f64 (hypot.f64 1 x) x)))
(*.f64 3 (+.f64 (*.f64 1/40 (pow.f64 x 5)) (+.f64 (*.f64 1/3 x) (*.f64 -1/18 (pow.f64 x 3)))))
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 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 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) x)))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (fma.f64 (fma.f64 3/40 (pow.f64 x 5) (*.f64 -5/112 (pow.f64 x 7))) 1 x))
Outputs
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (fma.f64 (fma.f64 3/40 (pow.f64 x 5) (*.f64 -5/112 (pow.f64 x 7))) 1 x))
(log.f64 (*.f64 x 2))
Calls

3 calls:

45.0ms
x
11.0ms
(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))
10.0ms
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
Results
ErrorSegmentsBranch
0.0b3x
8.3b3(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
8.3b3(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))
Compiler

Compiled 290 to 208 computations (28.3% saved)

bsearch53.0ms (0.6%)

Algorithm
2×binary-search
Steps
TimeLeftRight
26.0ms
0.022920886216637876
5027483591309.676
26.0ms
-0.2877721875285317
-0.013676877719447356
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes76.0ms (0.8%)

Counts
26 → 3
Calls
Call 1
Inputs
x
x
x
x
(*.f64 3 (*.f64 1/3 x))
(*.f64 3 (-.f64 (+.f64 1 (*.f64 1/3 x)) 1))
(*.f64 3 (*.f64 x (+.f64 (*.f64 -1/18 (*.f64 x x)) 1/3)))
(*.f64 3 (*.f64 x (/.f64 (-.f64 (*.f64 (*.f64 -1/18 (*.f64 x x)) (*.f64 -1/18 (*.f64 x x))) 1/9) (-.f64 (*.f64 -1/18 (*.f64 x x)) 1/3))))
(log.f64 (*.f64 x 2))
(log.f64 (/.f64 -1/2 x))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(*.f64 3 (*.f64 x (fma.f64 -1/18 (*.f64 x x) 1/3)))
(-.f64 (+.f64 1 (neg.f64 (-.f64 (*.f64 1/6 (pow.f64 x 3)) x))) 1)
(*.f64 3 (-.f64 (+.f64 1 (*.f64 x (fma.f64 -1/18 (*.f64 x x) 1/3))) 1))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)))
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
(*.f64 3 (*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1/3))
(-.f64 (+.f64 1 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 1)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) x))
(log.f64 (/.f64 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x)) (-.f64 (hypot.f64 1 x) x)))
(*.f64 3 (+.f64 (*.f64 1/40 (pow.f64 x 5)) (+.f64 (*.f64 1/3 x) (*.f64 -1/18 (pow.f64 x 3)))))
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 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 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) x)))
Outputs
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) x)))
(log.f64 (*.f64 x 2))
Calls

3 calls:

40.0ms
x
16.0ms
(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))
11.0ms
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
Results
ErrorSegmentsBranch
0.0b3x
8.3b3(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
8.3b3(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))
Compiler

Compiled 271 to 193 computations (28.8% saved)

bsearch52.0ms (0.6%)

Algorithm
2×binary-search
Steps
TimeLeftRight
25.0ms
0.022920886216637876
5027483591309.676
26.0ms
-0.2877721875285317
-0.013676877719447356
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes73.0ms (0.8%)

Counts
24 → 3
Calls
Call 1
Inputs
x
x
x
x
(*.f64 3 (*.f64 1/3 x))
(*.f64 3 (-.f64 (+.f64 1 (*.f64 1/3 x)) 1))
(*.f64 3 (*.f64 x (+.f64 (*.f64 -1/18 (*.f64 x x)) 1/3)))
(*.f64 3 (*.f64 x (/.f64 (-.f64 (*.f64 (*.f64 -1/18 (*.f64 x x)) (*.f64 -1/18 (*.f64 x x))) 1/9) (-.f64 (*.f64 -1/18 (*.f64 x x)) 1/3))))
(log.f64 (*.f64 x 2))
(log.f64 (/.f64 -1/2 x))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(*.f64 3 (*.f64 x (fma.f64 -1/18 (*.f64 x x) 1/3)))
(-.f64 (+.f64 1 (neg.f64 (-.f64 (*.f64 1/6 (pow.f64 x 3)) x))) 1)
(*.f64 3 (-.f64 (+.f64 1 (*.f64 x (fma.f64 -1/18 (*.f64 x x) 1/3))) 1))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)))
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
(*.f64 3 (*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1/3))
(-.f64 (+.f64 1 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 1)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) x))
(log.f64 (/.f64 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x)) (-.f64 (hypot.f64 1 x) x)))
(*.f64 3 (+.f64 (*.f64 1/40 (pow.f64 x 5)) (+.f64 (*.f64 1/3 x) (*.f64 -1/18 (pow.f64 x 3)))))
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
Outputs
(-.f64 (+.f64 1 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 1)
(+.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:

39.0ms
x
14.0ms
(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))
13.0ms
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
Results
ErrorSegmentsBranch
0.0b3x
7.3b4(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
7.3b4(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))
Compiler

Compiled 233 to 163 computations (30% saved)

bsearch51.0ms (0.6%)

Algorithm
2×binary-search
Steps
TimeLeftRight
26.0ms
6.2570005203665155e-9
0.022920886216637876
25.0ms
-0.013676877719447356
-0.003699236816982689
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes52.0ms (0.6%)

Counts
20 → 3
Calls
Call 1
Inputs
x
x
x
x
(*.f64 3 (*.f64 1/3 x))
(*.f64 3 (-.f64 (+.f64 1 (*.f64 1/3 x)) 1))
(*.f64 3 (*.f64 x (+.f64 (*.f64 -1/18 (*.f64 x x)) 1/3)))
(*.f64 3 (*.f64 x (/.f64 (-.f64 (*.f64 (*.f64 -1/18 (*.f64 x x)) (*.f64 -1/18 (*.f64 x x))) 1/9) (-.f64 (*.f64 -1/18 (*.f64 x x)) 1/3))))
(log.f64 (*.f64 x 2))
(log.f64 (/.f64 -1/2 x))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(*.f64 3 (*.f64 x (fma.f64 -1/18 (*.f64 x x) 1/3)))
(-.f64 (+.f64 1 (neg.f64 (-.f64 (*.f64 1/6 (pow.f64 x 3)) x))) 1)
(*.f64 3 (-.f64 (+.f64 1 (*.f64 x (fma.f64 -1/18 (*.f64 x x) 1/3))) 1))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)))
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
(*.f64 3 (*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1/3))
(-.f64 (+.f64 1 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 1)
Outputs
(-.f64 (+.f64 1 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 1)
x
(log.f64 (+.f64 x (hypot.f64 1 x)))
Calls

3 calls:

29.0ms
x
9.0ms
(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))
8.0ms
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
Results
ErrorSegmentsBranch
0.1b3x
8.3b3(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
8.3b3(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))
Compiler

Compiled 178 to 124 computations (30.3% saved)

bsearch55.0ms (0.6%)

Algorithm
2×binary-search
Steps
TimeLeftRight
28.0ms
6.2570005203665155e-9
0.022920886216637876
26.0ms
-0.003699236816982689
-4.4292746279827684e-11
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes75.0ms (0.8%)

Counts
19 → 3
Calls
Call 1
Inputs
x
x
x
x
(*.f64 3 (*.f64 1/3 x))
(*.f64 3 (-.f64 (+.f64 1 (*.f64 1/3 x)) 1))
(*.f64 3 (*.f64 x (+.f64 (*.f64 -1/18 (*.f64 x x)) 1/3)))
(*.f64 3 (*.f64 x (/.f64 (-.f64 (*.f64 (*.f64 -1/18 (*.f64 x x)) (*.f64 -1/18 (*.f64 x x))) 1/9) (-.f64 (*.f64 -1/18 (*.f64 x x)) 1/3))))
(log.f64 (*.f64 x 2))
(log.f64 (/.f64 -1/2 x))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(*.f64 3 (*.f64 x (fma.f64 -1/18 (*.f64 x x) 1/3)))
(-.f64 (+.f64 1 (neg.f64 (-.f64 (*.f64 1/6 (pow.f64 x 3)) x))) 1)
(*.f64 3 (-.f64 (+.f64 1 (*.f64 x (fma.f64 -1/18 (*.f64 x x) 1/3))) 1))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)))
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
(*.f64 3 (*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1/3))
Outputs
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
x
(log.f64 (+.f64 x (hypot.f64 1 x)))
Calls

3 calls:

35.0ms
x
17.0ms
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
10.0ms
(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))
Results
ErrorSegmentsBranch
0.1b3x
8.3b3(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
8.3b3(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))
Compiler

Compiled 167 to 115 computations (31.1% saved)

bsearch62.0ms (0.7%)

Algorithm
2×binary-search
Steps
TimeLeftRight
34.0ms
6.2570005203665155e-9
0.022920886216637876
28.0ms
-0.003699236816982689
-4.4292746279827684e-11
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes31.0ms (0.3%)

Counts
15 → 3
Calls
Call 1
Inputs
x
x
x
x
(*.f64 3 (*.f64 1/3 x))
(*.f64 3 (-.f64 (+.f64 1 (*.f64 1/3 x)) 1))
(*.f64 3 (*.f64 x (+.f64 (*.f64 -1/18 (*.f64 x x)) 1/3)))
(*.f64 3 (*.f64 x (/.f64 (-.f64 (*.f64 (*.f64 -1/18 (*.f64 x x)) (*.f64 -1/18 (*.f64 x x))) 1/9) (-.f64 (*.f64 -1/18 (*.f64 x x)) 1/3))))
(log.f64 (*.f64 x 2))
(log.f64 (/.f64 -1/2 x))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(*.f64 3 (*.f64 x (fma.f64 -1/18 (*.f64 x x) 1/3)))
(-.f64 (+.f64 1 (neg.f64 (-.f64 (*.f64 1/6 (pow.f64 x 3)) x))) 1)
(*.f64 3 (-.f64 (+.f64 1 (*.f64 x (fma.f64 -1/18 (*.f64 x x) 1/3))) 1))
(log.f64 (+.f64 x (hypot.f64 1 x)))
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

1 calls:

26.0ms
x
Results
ErrorSegmentsBranch
0.3b3x
Compiler

Compiled 114 to 78 computations (31.6% saved)

bsearch55.0ms (0.6%)

Algorithm
2×binary-search
Steps
TimeLeftRight
26.0ms
6.2570005203665155e-9
0.022920886216637876
29.0ms
-955965727.9236263
-0.2877721875285317
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes26.0ms (0.3%)

Counts
14 → 3
Calls
Call 1
Inputs
x
x
x
x
(*.f64 3 (*.f64 1/3 x))
(*.f64 3 (-.f64 (+.f64 1 (*.f64 1/3 x)) 1))
(*.f64 3 (*.f64 x (+.f64 (*.f64 -1/18 (*.f64 x x)) 1/3)))
(*.f64 3 (*.f64 x (/.f64 (-.f64 (*.f64 (*.f64 -1/18 (*.f64 x x)) (*.f64 -1/18 (*.f64 x x))) 1/9) (-.f64 (*.f64 -1/18 (*.f64 x x)) 1/3))))
(log.f64 (*.f64 x 2))
(log.f64 (/.f64 -1/2 x))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(*.f64 3 (*.f64 x (fma.f64 -1/18 (*.f64 x x) 1/3)))
(-.f64 (+.f64 1 (neg.f64 (-.f64 (*.f64 1/6 (pow.f64 x 3)) x))) 1)
(*.f64 3 (-.f64 (+.f64 1 (*.f64 x (fma.f64 -1/18 (*.f64 x x) 1/3))) 1))
Outputs
(log.f64 (/.f64 -1/2 x))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(log.f64 (*.f64 x 2))
Calls

1 calls:

22.0ms
x
Results
ErrorSegmentsBranch
0.4b3x
Compiler

Compiled 108 to 74 computations (31.5% saved)

bsearch56.0ms (0.6%)

Algorithm
2×binary-search
Steps
TimeLeftRight
32.0ms
0.022920886216637876
5027483591309.676
23.0ms
-955965727.9236263
-0.2877721875285317
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes32.0ms (0.4%)

Counts
10 → 3
Calls
Call 1
Inputs
x
x
x
x
(*.f64 3 (*.f64 1/3 x))
(*.f64 3 (-.f64 (+.f64 1 (*.f64 1/3 x)) 1))
(*.f64 3 (*.f64 x (+.f64 (*.f64 -1/18 (*.f64 x x)) 1/3)))
(*.f64 3 (*.f64 x (/.f64 (-.f64 (*.f64 (*.f64 -1/18 (*.f64 x x)) (*.f64 -1/18 (*.f64 x x))) 1/9) (-.f64 (*.f64 -1/18 (*.f64 x x)) 1/3))))
(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:

29.0ms
x
Results
ErrorSegmentsBranch
0.6b3x
Compiler

Compiled 65 to 43 computations (33.8% saved)

bsearch49.0ms (0.5%)

Algorithm
2×binary-search
Steps
TimeLeftRight
23.0ms
0.022920886216637876
5027483591309.676
26.0ms
-955965727.9236263
-0.2877721875285317
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes13.0ms (0.1%)

Counts
9 → 2
Calls
Call 1
Inputs
x
x
x
x
(*.f64 3 (*.f64 1/3 x))
(*.f64 3 (-.f64 (+.f64 1 (*.f64 1/3 x)) 1))
(*.f64 3 (*.f64 x (+.f64 (*.f64 -1/18 (*.f64 x x)) 1/3)))
(*.f64 3 (*.f64 x (/.f64 (-.f64 (*.f64 (*.f64 -1/18 (*.f64 x x)) (*.f64 -1/18 (*.f64 x x))) 1/9) (-.f64 (*.f64 -1/18 (*.f64 x x)) 1/3))))
(log.f64 (*.f64 x 2))
Outputs
x
(log.f64 (*.f64 x 2))
Calls

1 calls:

10.0ms
x
Results
ErrorSegmentsBranch
16.0b2x
Compiler

Compiled 61 to 40 computations (34.4% saved)

bsearch25.0ms (0.3%)

Algorithm
1×binary-search
Steps
TimeLeftRight
24.0ms
0.022920886216637876
5027483591309.676
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes7.0ms (0.1%)

Accuracy

Total -31.1b remaining (-102.9%)

Threshold costs -31.1b (-102.9%)

Counts
8 → 1
Calls
Call 1
Inputs
x
x
x
x
(*.f64 3 (*.f64 1/3 x))
(*.f64 3 (-.f64 (+.f64 1 (*.f64 1/3 x)) 1))
(*.f64 3 (*.f64 x (+.f64 (*.f64 -1/18 (*.f64 x x)) 1/3)))
(*.f64 3 (*.f64 x (/.f64 (-.f64 (*.f64 (*.f64 -1/18 (*.f64 x x)) (*.f64 -1/18 (*.f64 x x))) 1/9) (-.f64 (*.f64 -1/18 (*.f64 x x)) 1/3))))
Outputs
x
Calls

1 calls:

5.0ms
x
Results
ErrorSegmentsBranch
30.2b1x
Compiler

Compiled 57 to 37 computations (35.1% saved)

simplify22.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
17×+-commutative_binary64
6×*-commutative_binary64
5×sub-neg_binary64
2×neg-sub0_binary64
2×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
074412
1101412
2108412
3111412
4112412
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 x -5184042866084351/18014398509481984) (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (if (<=.f64 x 825811956994015/36028797018963968) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) (+.f64 (-.f64 (exp.f64 (log1p.f64 (*.f64 -5/112 (pow.f64 x 7)))) 1) x))) (log.f64 (*.f64 x 2))))
(if (<=.f64 x -5184042866084351/18014398509481984) (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (if (<=.f64 x 825811956994015/36028797018963968) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (fma.f64 (fma.f64 3/40 (pow.f64 x 5) (*.f64 -5/112 (pow.f64 x 7))) 1 x)) (log.f64 (*.f64 x 2))))
(if (<=.f64 x -5184042866084351/18014398509481984) (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (if (<=.f64 x 825811956994015/36028797018963968) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) x))) (log.f64 (*.f64 x 2))))
(if (<=.f64 x -3942091609657277/288230376151711744) (-.f64 (+.f64 1 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 1) (if (<=.f64 x 7564249482413251/1208925819614629174706176) (+.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 -4264929676932725/1152921504606846976) (-.f64 (+.f64 1 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 1) (if (<=.f64 x 7564249482413251/1208925819614629174706176) x (log.f64 (+.f64 x (hypot.f64 1 x)))))
(if (<=.f64 x -4264929676932725/1152921504606846976) (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (if (<=.f64 x 7564249482413251/1208925819614629174706176) x (log.f64 (+.f64 x (hypot.f64 1 x)))))
(if (<=.f64 x -8019221752985955/8388608) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 7564249482413251/1208925819614629174706176) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) (log.f64 (+.f64 x (hypot.f64 1 x)))))
(if (<=.f64 x -8019221752985955/8388608) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 825811956994015/36028797018963968) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) (log.f64 (*.f64 x 2))))
(if (<=.f64 x -8019221752985955/8388608) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 825811956994015/36028797018963968) x (log.f64 (*.f64 x 2))))
(if (<=.f64 x 825811956994015/36028797018963968) x (log.f64 (*.f64 x 2)))
x
Outputs
(if (<=.f64 x -5184042866084351/18014398509481984) (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (if (<=.f64 x 825811956994015/36028797018963968) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) (+.f64 (-.f64 (exp.f64 (log1p.f64 (*.f64 -5/112 (pow.f64 x 7)))) 1) x))) (log.f64 (*.f64 x 2))))
(if (<=.f64 x -5184042866084351/18014398509481984) (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (if (<=.f64 x 825811956994015/36028797018963968) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) (+.f64 x (+.f64 (exp.f64 (log1p.f64 (*.f64 -5/112 (pow.f64 x 7)))) -1)))) (log.f64 (*.f64 x 2))))
(if (<=.f64 x -5184042866084351/18014398509481984) (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (if (<=.f64 x 825811956994015/36028797018963968) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (fma.f64 (fma.f64 3/40 (pow.f64 x 5) (*.f64 -5/112 (pow.f64 x 7))) 1 x)) (log.f64 (*.f64 x 2))))
(if (<=.f64 x -5184042866084351/18014398509481984) (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (if (<=.f64 x 825811956994015/36028797018963968) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) x))) (log.f64 (*.f64 x 2))))
(if (<=.f64 x -5184042866084351/18014398509481984) (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (if (<=.f64 x 825811956994015/36028797018963968) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) (+.f64 x (*.f64 -5/112 (pow.f64 x 7))))) (log.f64 (*.f64 x 2))))
(if (<=.f64 x -3942091609657277/288230376151711744) (-.f64 (+.f64 1 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 1) (if (<=.f64 x 7564249482413251/1208925819614629174706176) (+.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 -3942091609657277/288230376151711744) (+.f64 (-.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) -1) (if (<=.f64 x 7564249482413251/1208925819614629174706176) (+.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 -4264929676932725/1152921504606846976) (-.f64 (+.f64 1 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 1) (if (<=.f64 x 7564249482413251/1208925819614629174706176) x (log.f64 (+.f64 x (hypot.f64 1 x)))))
(if (<=.f64 x -4264929676932725/1152921504606846976) (+.f64 (-.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) -1) (if (<=.f64 x 7564249482413251/1208925819614629174706176) x (log.f64 (+.f64 x (hypot.f64 1 x)))))
(if (<=.f64 x -4264929676932725/1152921504606846976) (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (if (<=.f64 x 7564249482413251/1208925819614629174706176) x (log.f64 (+.f64 x (hypot.f64 1 x)))))
(if (<=.f64 x -8019221752985955/8388608) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 7564249482413251/1208925819614629174706176) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) (log.f64 (+.f64 x (hypot.f64 1 x)))))
(if (<=.f64 x -8019221752985955/8388608) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 7564249482413251/1208925819614629174706176) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (log.f64 (+.f64 x (hypot.f64 1 x)))))
(if (<=.f64 x -8019221752985955/8388608) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 825811956994015/36028797018963968) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) (log.f64 (*.f64 x 2))))
(if (<=.f64 x -8019221752985955/8388608) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 825811956994015/36028797018963968) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (log.f64 (*.f64 x 2))))
(if (<=.f64 x -8019221752985955/8388608) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 825811956994015/36028797018963968) x (log.f64 (*.f64 x 2))))
(if (<=.f64 x 825811956994015/36028797018963968) x (log.f64 (*.f64 x 2)))
x
Compiler

Compiled 288 to 216 computations (25% saved)

soundness106.0ms (1.2%)

Algorithm
4×egg-herbie
Rules
915×fma-def_binary64
723×sub-neg_binary64
455×associate-/r*_binary64
344×associate-+r+_binary64
288×associate-*l*_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0812
1139
2149
0812
1139
2149
0812
1139
2149
092402
1268389
2725389
32145385
47312385
Stop Event
1×node limit
1×saturated
1×saturated
1×saturated
Compiler

Compiled 89 to 63 computations (29.2% saved)

end178.0ms (2%)

Compiler

Compiled 278 to 206 computations (25.9% saved)

Profiling

Loading profile data...