Details

Time bar (total: 5.4s)

analyze101.0ms (1.9%)

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

Compiled 11 to 8 computations (27.3% saved)

sample3.9s (71.8%)

Results
1.8s2624×body1024valid
887.0ms1278×body2048valid
604.0ms1276×body512valid
246.0ms2111×body64valid
207.0ms594×body256valid
71.0ms327×body128valid
36.0ms46×body4096valid

preprocess15.0ms (0.3%)

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 10 to 7 computations (30% saved)

simplify6.0ms (0.1%)

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

Useful iterations: 1 (0.0ms)

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

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New112
Fresh101
Picked000
Done000
Total213
Error
47.2b
Counts
3 → 1
Alt Table
StatusErrorProgram
▶47.2b
(log.f64 (+.f64 x (hypot.f64 1 x)))
Compiler

Compiled 30 to 21 computations (30% saved)

localize4.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓1.2b
(+.f64 x (hypot.f64 1 x))
✓2.7b
(log.f64 (+.f64 x (hypot.f64 1 x)))

series5.0ms (0.1%)

Counts
2 → 24
Calls

6 calls:

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

rewrite49.0ms (0.9%)

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
2155516
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) (pow.f64 (hypot.f64 1 x) 2))) (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 exp.f64 (log.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 expm1.f64 (log1p.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 (pow.f64 (hypot.f64 1 x) 2) (-.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) (pow.f64 (hypot.f64 1 x) 2)) (/.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) (pow.f64 (hypot.f64 1 x) 2))))))) (#(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 (pow.f64 (hypot.f64 1 x) 2) (-.f64 (*.f64 x x) (*.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (hypot.f64 1 x) 2)) (-.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) (pow.f64 (hypot.f64 1 x) 2))) (neg.f64 (-.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 2) (*.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 fma.f64 1 x (hypot.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (hypot.f64 1 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (hypot.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 x)) 2) (cbrt.f64 (hypot.f64 1 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (hypot.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.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 expm1.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x))))))))

simplify56.0ms (1%)

Algorithm
1×egg-herbie
Rules
915×fma-def_binary64
732×sub-neg_binary64
447×associate-/r*_binary64
336×associate-+r+_binary64
285×associate-*l*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
092402
1268389
2716389
32137385
47145385
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 (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 -3/32 (pow.f64 x 4)) (-.f64 (/.f64 -1/4 (*.f64 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 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 5/96 (pow.f64 x 6)) (+.f64 (log.f64 x) (/.f64 1/4 (*.f64 x x)))) (/.f64 3/32 (pow.f64 x 4))))
(+.f64 (log.f64 2) (+.f64 (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6))) (+.f64 (log.f64 x) (/.f64 -3/32 (pow.f64 x 4)))))
(+.f64 (log.f64 2) (+.f64 (/.f64 5/96 (pow.f64 x 6)) (-.f64 (/.f64 -3/32 (pow.f64 x 4)) (-.f64 (/.f64 -1/4 (*.f64 x x)) (log.f64 x)))))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 (/.f64 -1 x)) (-.f64 (log.f64 1/2) (/.f64 1/4 (*.f64 x x))))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (/.f64 -1/4 (*.f64 x x))))
(-.f64 (+.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 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (/.f64 -1/4 (*.f64 x x)))))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (+.f64 (*.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 (/.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)) (+.f64 (log.f64 1/2) (/.f64 -1/4 (*.f64 x x)))) (/.f64 5/96 (pow.f64 x 6))))
(+.f64 (/.f64 3/32 (pow.f64 x 4)) (+.f64 (-.f64 (+.f64 (log.f64 1/2) (/.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 (/.f64 3/32 (pow.f64 x 4)) (-.f64 (+.f64 (log.f64 1/2) (/.f64 -1/4 (*.f64 x x))) (/.f64 5/96 (pow.f64 x 6)))))
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 x (*.f64 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 x (*.f64 x 1/2) x)))
(fma.f64 (pow.f64 x 4) -1/8 (fma.f64 (fma.f64 x 1/2 1) x 1))
(*.f64 2 x)
(*.f64 x 2)
(+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(fma.f64 2 x (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 1/2 x))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 2 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (fma.f64 2 x (/.f64 1/2 x)) (/.f64 1/8 (pow.f64 x 3)))
(-.f64 (fma.f64 x 2 (/.f64 1/2 x)) (/.f64 1/8 (pow.f64 x 3)))
(+.f64 (fma.f64 x 2 (/.f64 1/2 x)) (/.f64 -1/8 (pow.f64 x 3)))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 2 x) (*.f64 1/16 (/.f64 1 (pow.f64 x 5))))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1/2 x) (-.f64 (fma.f64 2 x (/.f64 1/16 (pow.f64 x 5))) (/.f64 1/8 (pow.f64 x 3))))
(-.f64 (+.f64 (/.f64 1/2 x) (fma.f64 x 2 (/.f64 1/16 (pow.f64 x 5)))) (/.f64 1/8 (pow.f64 x 3)))
(-.f64 (fma.f64 x 2 (/.f64 1/16 (pow.f64 x 5))) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/2 x)))
(+.f64 (/.f64 1/2 x) (-.f64 (fma.f64 x 2 (/.f64 1/16 (pow.f64 x 5))) (/.f64 1/8 (pow.f64 x 3))))
(/.f64 -1/2 x)
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/2 x))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/2 x))
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))))
(-.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5))))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 -1/2 x) (/.f64 -1/16 (pow.f64 x 5))))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (/.f64 -1/2 x) (/.f64 1/16 (pow.f64 x 5))))
(-.f64 (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 5/128 (/.f64 1 (pow.f64 x 7)))) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (/.f64 5/128 (pow.f64 x 7)) (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5)))))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 5/128 (pow.f64 x 7)) (+.f64 (/.f64 -1/2 x) (/.f64 -1/16 (pow.f64 x 5)))))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 5/128 (pow.f64 x 7)) (-.f64 (/.f64 -1/2 x) (/.f64 1/16 (pow.f64 x 5)))))

prune91.0ms (1.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New982100
Fresh000
Picked011
Done000
Total983101
Error
0.0b
Counts
101 → 3
Alt Table
StatusErrorProgram
✓47.2b
(log.f64 (+.f64 x (hypot.f64 1 x)))
46.4b
(log.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/2 x)))
▶31.2b
(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)))
Compiler

Compiled 1413 to 1077 computations (23.8% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(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)))
✓0.0b
(fma.f64 -5/112 (pow.f64 x 7) x)
✓21.9b
(fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))

series5.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

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

rewrite58.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
507×log-prod_binary64
342×pow2_binary64
283×pow-prod-down_binary64
239×expm1-udef_binary64
239×log1p-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01445
130645
2318145
Stop Event
1×node limit
Counts
3 → 104
Calls
Call 1
Inputs
(fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))
(fma.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)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.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 3/40 (pow.f64 x 5)) (fma.f64 -5/112 (pow.f64 x 7) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (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 (*.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 +.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 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x)))) 2)) (log.f64 (cbrt.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 +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))))) (log.f64 (sqrt.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 -.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 (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))) (cbrt.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 *.f64 (cbrt.f64 (pow.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 (+.f64 (pow.f64 (*.f64 3/40 (pow.f64 x 5)) 3) (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 3)) (+.f64 (pow.f64 (*.f64 3/40 (pow.f64 x 5)) 2) (-.f64 (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 2) (*.f64 (*.f64 3/40 (pow.f64 x 5)) (fma.f64 -5/112 (pow.f64 x 7) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 3/40 (pow.f64 x 5)) 2) (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 2)) (-.f64 (*.f64 3/40 (pow.f64 x 5)) (fma.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 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 (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 (+.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 (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 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 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 exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.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 exp.f64 (*.f64 (log.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 exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))) 1) 1))))) (#(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 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 +.f64 x (*.f64 -5/112 (pow.f64 x 7)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -5/112 (pow.f64 x 7)) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 -5/112 (pow.f64 x 7) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 -5/112 (pow.f64 x 7)) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 -5/112 (pow.f64 x 7) x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 -5/112 (pow.f64 x 7) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 -5/112 (pow.f64 x 7) x)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 -5/112 (pow.f64 x 7) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 -5/112 (pow.f64 x 7) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 -5/112 (pow.f64 x 7) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 -5/112 (pow.f64 x 7) x)) (sqrt.f64 (fma.f64 -5/112 (pow.f64 x 7) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 -5/112 (pow.f64 x 7)) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (*.f64 -5/112 (pow.f64 x 7)) 2) (-.f64 (*.f64 x x) (*.f64 (*.f64 -5/112 (pow.f64 x 7)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 -5/112 (pow.f64 x 7)) 2) (*.f64 x x)) (fma.f64 -5/112 (pow.f64 x 7) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (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 -5/112 (pow.f64 x 7) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 -5/112 (pow.f64 x 7) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 -5/112 (pow.f64 x 7) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 -5/112 (pow.f64 x 7) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 -5/112 (pow.f64 x 7) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 x) (pow.f64 (exp.f64 (pow.f64 x 7)) -5/112)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (pow.f64 (exp.f64 (pow.f64 x 7)) -5/112)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 (pow.f64 x 7)) -5/112) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 -5/112 (pow.f64 x 7) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 -5/112 (pow.f64 x 7) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 -5/112 (pow.f64 x 7) x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 -5/112 (pow.f64 x 7) x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 -5/112 (pow.f64 x 7) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 -5/112 (pow.f64 x 7) x)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 -5/112 (pow.f64 x 7) x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.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)) (*.f64 -1/6 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1/6 (pow.f64 x 3)) (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 0 (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))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 -1/6 (pow.f64 x 3)) 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 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) (fma.f64 -5/112 (pow.f64 x 7) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (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))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (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)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (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)))))) (log.f64 (sqrt.f64 (exp.f64 (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)))))))))) (#(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) (fma.f64 -5/112 (pow.f64 x 7) x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (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))) 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) (fma.f64 -5/112 (pow.f64 x 7) 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) (fma.f64 -5/112 (pow.f64 x 7) x)))) (pow.f64 (cbrt.f64 (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)))) 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) (fma.f64 -5/112 (pow.f64 x 7) x)))) 2) (cbrt.f64 (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)))))))) (#(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) (fma.f64 -5/112 (pow.f64 x 7) x)))) (sqrt.f64 (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)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x)) 3)) (+.f64 (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 2) (-.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x)) 2) (*.f64 (*.f64 -1/6 (pow.f64 x 3)) (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 (-.f64 (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 2) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x)) 2)) (-.f64 (*.f64 -1/6 (pow.f64 x 3)) (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) 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) (fma.f64 -5/112 (pow.f64 x 7) 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) (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 -1/6 (pow.f64 x 3) (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 -1/6 (pow.f64 x 3) (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 -1/6 (pow.f64 x 3) (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 sqrt.f64 (pow.f64 (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))) 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) (fma.f64 -5/112 (pow.f64 x 7) 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) (fma.f64 -5/112 (pow.f64 x 7) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))) (pow.f64 (exp.f64 (pow.f64 x 3)) -1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x)))) (pow.f64 (exp.f64 (pow.f64 x 3)) -1/6)))))) (#(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) (fma.f64 -5/112 (pow.f64 x 7) 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) (fma.f64 -5/112 (pow.f64 x 7) x))) 3))))) (#(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) (fma.f64 -5/112 (pow.f64 x 7) 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) (fma.f64 -5/112 (pow.f64 x 7) x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (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))) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (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))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (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))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (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)))) 1) 1))))) (#(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) (fma.f64 -5/112 (pow.f64 x 7) x)))))))) (#(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) (fma.f64 -5/112 (pow.f64 x 7) x)))))))))

simplify136.0ms (2.5%)

Algorithm
1×egg-herbie
Rules
708×sqr-pow_binary64
674×cube-prod_binary64
624×unswap-sqr_binary64
577×fabs-mul_binary64
474×fma-def_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025402
174402
2151402
3336402
4582402
51340402
62008402
72975402
83129402
93376402
103691402
114172402
124851402
135745402
146393402
156900402
167307402
177680402
187896402
Stop Event
1×node limit
Counts
140 → 122
Calls
Call 1
Inputs
x
(+.f64 (*.f64 3/40 (pow.f64 x 5)) x)
(+.f64 (*.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) x))
(+.f64 (*.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) x))
(*.f64 -5/112 (pow.f64 x 7))
(+.f64 (*.f64 3/40 (pow.f64 x 5)) (*.f64 -5/112 (pow.f64 x 7)))
(+.f64 (*.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) x))
(+.f64 (*.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) x))
(*.f64 -5/112 (pow.f64 x 7))
(+.f64 (*.f64 3/40 (pow.f64 x 5)) (*.f64 -5/112 (pow.f64 x 7)))
(+.f64 (*.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) x))
(+.f64 (*.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) x))
x
(+.f64 (*.f64 -5/112 (pow.f64 x 7)) x)
(+.f64 (*.f64 -5/112 (pow.f64 x 7)) x)
(+.f64 (*.f64 -5/112 (pow.f64 x 7)) x)
(*.f64 -5/112 (pow.f64 x 7))
(+.f64 (*.f64 -5/112 (pow.f64 x 7)) x)
(+.f64 (*.f64 -5/112 (pow.f64 x 7)) x)
(+.f64 (*.f64 -5/112 (pow.f64 x 7)) x)
(*.f64 -5/112 (pow.f64 x 7))
(+.f64 (*.f64 -5/112 (pow.f64 x 7)) x)
(+.f64 (*.f64 -5/112 (pow.f64 x 7)) x)
(+.f64 (*.f64 -5/112 (pow.f64 x 7)) x)
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 -5/112 (pow.f64 x 7))
(+.f64 (*.f64 3/40 (pow.f64 x 5)) (*.f64 -5/112 (pow.f64 x 7)))
(+.f64 (*.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 -5/112 (pow.f64 x 7))))
(+.f64 (*.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) x)))
(*.f64 -5/112 (pow.f64 x 7))
(+.f64 (*.f64 3/40 (pow.f64 x 5)) (*.f64 -5/112 (pow.f64 x 7)))
(+.f64 (*.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 -5/112 (pow.f64 x 7))))
(+.f64 (*.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) x)))
Outputs
x
(+.f64 (*.f64 3/40 (pow.f64 x 5)) x)
(fma.f64 3/40 (pow.f64 x 5) x)
(+.f64 (*.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) x))
(fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))
(+.f64 (*.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) x))
(fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))
(*.f64 -5/112 (pow.f64 x 7))
(+.f64 (*.f64 3/40 (pow.f64 x 5)) (*.f64 -5/112 (pow.f64 x 7)))
(fma.f64 3/40 (pow.f64 x 5) (*.f64 -5/112 (pow.f64 x 7)))
(+.f64 (*.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) x))
(fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))
(+.f64 (*.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) x))
(fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))
(*.f64 -5/112 (pow.f64 x 7))
(+.f64 (*.f64 3/40 (pow.f64 x 5)) (*.f64 -5/112 (pow.f64 x 7)))
(fma.f64 3/40 (pow.f64 x 5) (*.f64 -5/112 (pow.f64 x 7)))
(+.f64 (*.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) x))
(fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))
(+.f64 (*.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) x))
(fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))
x
(+.f64 (*.f64 -5/112 (pow.f64 x 7)) x)
(fma.f64 -5/112 (pow.f64 x 7) x)
(+.f64 (*.f64 -5/112 (pow.f64 x 7)) x)
(fma.f64 -5/112 (pow.f64 x 7) x)
(+.f64 (*.f64 -5/112 (pow.f64 x 7)) x)
(fma.f64 -5/112 (pow.f64 x 7) x)
(*.f64 -5/112 (pow.f64 x 7))
(+.f64 (*.f64 -5/112 (pow.f64 x 7)) x)
(fma.f64 -5/112 (pow.f64 x 7) x)
(+.f64 (*.f64 -5/112 (pow.f64 x 7)) x)
(fma.f64 -5/112 (pow.f64 x 7) x)
(+.f64 (*.f64 -5/112 (pow.f64 x 7)) x)
(fma.f64 -5/112 (pow.f64 x 7) x)
(*.f64 -5/112 (pow.f64 x 7))
(+.f64 (*.f64 -5/112 (pow.f64 x 7)) x)
(fma.f64 -5/112 (pow.f64 x 7) x)
(+.f64 (*.f64 -5/112 (pow.f64 x 7)) x)
(fma.f64 -5/112 (pow.f64 x 7) x)
(+.f64 (*.f64 -5/112 (pow.f64 x 7)) x)
(fma.f64 -5/112 (pow.f64 x 7) x)
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.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 3/40 (pow.f64 x 5) (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)) (+.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 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) (fma.f64 -1/6 (pow.f64 x 3) x)))
(*.f64 -5/112 (pow.f64 x 7))
(+.f64 (*.f64 3/40 (pow.f64 x 5)) (*.f64 -5/112 (pow.f64 x 7)))
(fma.f64 3/40 (pow.f64 x 5) (*.f64 -5/112 (pow.f64 x 7)))
(+.f64 (*.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 -5/112 (pow.f64 x 7))))
(fma.f64 3/40 (pow.f64 x 5) (fma.f64 -1/6 (pow.f64 x 3) (*.f64 -5/112 (pow.f64 x 7))))
(fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) (*.f64 -1/6 (pow.f64 x 3))))
(+.f64 (*.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.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 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) (fma.f64 -1/6 (pow.f64 x 3) x)))
(*.f64 -5/112 (pow.f64 x 7))
(+.f64 (*.f64 3/40 (pow.f64 x 5)) (*.f64 -5/112 (pow.f64 x 7)))
(fma.f64 3/40 (pow.f64 x 5) (*.f64 -5/112 (pow.f64 x 7)))
(+.f64 (*.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 -5/112 (pow.f64 x 7))))
(fma.f64 3/40 (pow.f64 x 5) (fma.f64 -1/6 (pow.f64 x 3) (*.f64 -5/112 (pow.f64 x 7))))
(fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) (*.f64 -1/6 (pow.f64 x 3))))
(+.f64 (*.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.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 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) (fma.f64 -1/6 (pow.f64 x 3) x)))

prune144.0ms (2.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1211122
Fresh011
Picked101
Done011
Total1223125
Error
0b
Counts
125 → 3
Alt Table
StatusErrorProgram
✓47.2b
(log.f64 (+.f64 x (hypot.f64 1 x)))
▶31.2b
(+.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) (fma.f64 -5/112 (pow.f64 x 7) x))
46.4b
(log.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/2 x)))
Compiler

Compiled 2659 to 2097 computations (21.1% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(fma.f64 -5/112 (pow.f64 x 7) x)
✓0.1b
(*.f64 3/40 (pow.f64 x 5))
✓18.6b
(fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))
✓21.9b
(+.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) (fma.f64 -5/112 (pow.f64 x 7) x))

series5.0ms (0.1%)

Counts
3 → 24
Calls

9 calls:

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

rewrite68.0ms (1.3%)

Algorithm
1×batch-egg-rewrite
Rules
708×prod-diff_binary64
598×log-prod_binary64
277×fma-def_binary64
267×expm1-udef_binary64
267×log1p-udef_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01545
133545
2377243
Stop Event
1×node limit
Counts
3 → 107
Calls
Call 1
Inputs
(+.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) (fma.f64 -5/112 (pow.f64 x 7) x))
(fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))
(*.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) (fma.f64 -5/112 (pow.f64 x 7) x))))) 1)))) (#(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) (fma.f64 -1/6 (pow.f64 x 3) (-.f64 (*.f64 3/40 (pow.f64 x 5)) (fma.f64 -5/112 (pow.f64 x 7) x)))) (/.f64 (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 2) (fma.f64 -1/6 (pow.f64 x 3) (-.f64 (*.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 -1/6 (pow.f64 x 3) (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 -1/6 (pow.f64 x 3) (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 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x)))) (pow.f64 (cbrt.f64 (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)))) 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) (fma.f64 -5/112 (pow.f64 x 7) x)))) 2) (cbrt.f64 (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)))))))) (#(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) (fma.f64 -5/112 (pow.f64 x 7) x)))) (sqrt.f64 (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)))))))) (#(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 (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) (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))) (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) 2))))))) (#(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) (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 2)) (/.f64 1 (fma.f64 -1/6 (pow.f64 x 3) (-.f64 (*.f64 3/40 (pow.f64 x 5)) (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) (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))) (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) 2)) (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) 3) (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 -1/6 (pow.f64 x 3) (-.f64 (*.f64 3/40 (pow.f64 x 5)) (fma.f64 -5/112 (pow.f64 x 7) x))) (-.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) 2) (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 2))))))) (#(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 (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) (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))) (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) 2)))))) (#(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 (fma.f64 -5/112 (pow.f64 x 7) x) 3)) (+.f64 (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 2) (-.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) 2) (*.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) (fma.f64 -5/112 (pow.f64 x 7) 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))) 2) (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 2)) (fma.f64 -1/6 (pow.f64 x 3) (-.f64 (*.f64 3/40 (pow.f64 x 5)) (fma.f64 -5/112 (pow.f64 x 7) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) 3) (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) (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))) (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) 2) (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 2))) (neg.f64 (fma.f64 -1/6 (pow.f64 x 3) (-.f64 (*.f64 3/40 (pow.f64 x 5)) (fma.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) (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) 2)) (-.f64 (fma.f64 -5/112 (pow.f64 x 7) x) (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))))))) (#(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) (fma.f64 -5/112 (pow.f64 x 7) 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) (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 -1/6 (pow.f64 x 3) (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 -1/6 (pow.f64 x 3) (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) (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))) (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) 2)) (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) 3) (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 -1/6 (pow.f64 x 3) (-.f64 (*.f64 3/40 (pow.f64 x 5)) (fma.f64 -5/112 (pow.f64 x 7) x))) (-.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) 2) (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 -1/6 (pow.f64 x 3) (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 -1/6 (pow.f64 x 3) (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 -1/6 (pow.f64 x 3) (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 (+.f64 1 (expm1.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.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 (exp.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.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 -1/6 (pow.f64 x 3) (*.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))) (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 (fma.f64 -5/112 (pow.f64 x 7) x)) (+.f64 1 (expm1.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 (fma.f64 -5/112 (pow.f64 x 7) x))) (+.f64 1 (expm1.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))))))))) (#(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) (fma.f64 -5/112 (pow.f64 x 7) x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((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)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 3) -1/6 (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 (fma.f64 -1/6 (pow.f64 x 3) (*.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 (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 x 7) -5/112 (+.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 (fma.f64 -5/112 (pow.f64 x 7) 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 1 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) (fma.f64 -5/112 (pow.f64 x 7) x))))) (#(struct:change #<rule 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(pow.f64 x 5))) 2)) (fma.f64 -5/112 (pow.f64 x 7) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.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)))) (fma.f64 -5/112 (pow.f64 x 7) x))))) (#(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)) (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))))))) (#(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)))) (fma.f64 -5/112 (pow.f64 x 7) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (*.f64 -5/112 (pow.f64 x 7))) (cbrt.f64 (*.f64 -5/112 (pow.f64 x 7)))) (cbrt.f64 (*.f64 -5/112 (pow.f64 x 7))) (+.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 (cbrt.f64 (*.f64 -1/6 (pow.f64 x 3))) (cbrt.f64 (*.f64 -1/6 (pow.f64 x 3)))) (cbrt.f64 (*.f64 -1/6 (pow.f64 x 3))) (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 (sqrt.f64 (*.f64 -5/112 (pow.f64 x 7))) (sqrt.f64 (*.f64 -5/112 (pow.f64 x 7))) (+.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 (sqrt.f64 (*.f64 -1/6 (pow.f64 x 3))) (sqrt.f64 (*.f64 -1/6 (pow.f64 x 3))) (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 (*.f64 -1/6 x) (*.f64 x 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 (*.f64 -1/6 (*.f64 x x)) 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 (*.f64 -1/6 (pow.f64 x 3/2)) (pow.f64 x 3/2) (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 (*.f64 -5/112 (cbrt.f64 (pow.f64 x 14))) (cbrt.f64 (pow.f64 x 7)) (+.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 -5/112 (pow.f64 x 7/2)) (pow.f64 x 7/2) (+.f64 x (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))))))) (#(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) (fma.f64 -5/112 (pow.f64 x 7) 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) (fma.f64 -5/112 (pow.f64 x 7) x)))) 1))))) (#(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) (fma.f64 -5/112 (pow.f64 x 7) x)))))))) (#(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) (fma.f64 -5/112 (pow.f64 x 7) x)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 3/40 (pow.f64 x 5)) (*.f64 -1/6 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 3/40 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 -1/6 (pow.f64 x 3)) 1) (*.f64 3/40 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))))) (cbrt.f64 (exp.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))) (cbrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3) (pow.f64 (*.f64 3/40 (pow.f64 x 5)) 3)) (fma.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 -1/6 (pow.f64 x 3)) (-.f64 (*.f64 9/1600 (pow.f64 x 10)) (*.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 3/40 (pow.f64 x 5))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 -1/6 (pow.f64 x 3))) (*.f64 9/1600 (pow.f64 x 10))) (-.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 3/40 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (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 1 (expm1.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 (pow.f64 (exp.f64 3/40) (pow.f64 x 5)) (exp.f64 (*.f64 -1/6 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 3/40 (pow.f64 x 5)))) (exp.f64 (*.f64 -1/6 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 -1/6 (pow.f64 x 3))) (+.f64 1 (expm1.f64 (*.f64 3/40 (pow.f64 x 5))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))))))))
((#(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 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 3/40) (pow.f64 x 5))) (cbrt.f64 (pow.f64 (exp.f64 3/40) (pow.f64 x 5))))) (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 (pow.f64 (*.f64 3/40 (pow.f64 x 5)) 3) 1/3)))) (#(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 sqrt.f64 (*.f64 9/1600 (pow.f64 x 10)))))) (#(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 (pow.f64 (*.f64 3/40 (pow.f64 x 5)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 5 (log.f64 x) (log.f64 3/40)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (fma.f64 5 (log.f64 x) (log.f64 3/40)) 1))))) (#(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 expm1.f64 (log1p.f64 (*.f64 3/40 (pow.f64 x 5))))))))

simplify129.0ms (2.4%)

Algorithm
1×egg-herbie
Rules
708×sqr-pow_binary64
674×cube-prod_binary64
624×unswap-sqr_binary64
621×fabs-mul_binary64
474×fma-def_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027321
177321
2146321
3330321
4583321
51309321
61978321
72945321
83099321
93346321
103663321
114144321
124823321
135717321
146361321
156872321
167273321
177652321
187866321
Stop Event
1×node limit
Counts
131 → 122
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 -5/112 (pow.f64 x 7))
(+.f64 (*.f64 3/40 (pow.f64 x 5)) (*.f64 -5/112 (pow.f64 x 7)))
(+.f64 (*.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 -5/112 (pow.f64 x 7))))
(+.f64 (*.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) x)))
(*.f64 -5/112 (pow.f64 x 7))
(+.f64 (*.f64 3/40 (pow.f64 x 5)) (*.f64 -5/112 (pow.f64 x 7)))
(+.f64 (*.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 -5/112 (pow.f64 x 7))))
(+.f64 (*.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) x)))
(*.f64 -1/6 (pow.f64 x 3))
(+.f64 (*.f64 3/40 (pow.f64 x 5)) (*.f64 -1/6 (pow.f64 x 3)))
(+.f64 (*.f64 3/40 (pow.f64 x 5)) (*.f64 -1/6 (pow.f64 x 3)))
(+.f64 (*.f64 3/40 (pow.f64 x 5)) (*.f64 -1/6 (pow.f64 x 3)))
(*.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 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)))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.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 (*.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 -5/112 (pow.f64 x 7))
(+.f64 (*.f64 3/40 (pow.f64 x 5)) (*.f64 -5/112 (pow.f64 x 7)))
(fma.f64 3/40 (pow.f64 x 5) (*.f64 -5/112 (pow.f64 x 7)))
(+.f64 (*.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 -5/112 (pow.f64 x 7))))
(fma.f64 3/40 (pow.f64 x 5) (fma.f64 -1/6 (pow.f64 x 3) (*.f64 -5/112 (pow.f64 x 7))))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) (*.f64 -5/112 (pow.f64 x 7))))
(+.f64 (*.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.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 -5/112 (pow.f64 x 7))
(+.f64 (*.f64 3/40 (pow.f64 x 5)) (*.f64 -5/112 (pow.f64 x 7)))
(fma.f64 3/40 (pow.f64 x 5) (*.f64 -5/112 (pow.f64 x 7)))
(+.f64 (*.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 -5/112 (pow.f64 x 7))))
(fma.f64 3/40 (pow.f64 x 5) (fma.f64 -1/6 (pow.f64 x 3) (*.f64 -5/112 (pow.f64 x 7))))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) (*.f64 -5/112 (pow.f64 x 7))))
(+.f64 (*.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.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 -1/6 (pow.f64 x 3))
(+.f64 (*.f64 3/40 (pow.f64 x 5)) (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))
(+.f64 (*.f64 3/40 (pow.f64 x 5)) (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))
(+.f64 (*.f64 3/40 (pow.f64 x 5)) (*.f64 -1/6 (pow.f64 x 3)))
(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)))
(+.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 (*.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)))
(+.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 (*.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)))

prune286.0ms (5.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1570157
Fresh011
Picked011
Done011
Total1573160
Error
0b
Counts
160 → 3
Alt Table
StatusErrorProgram
✓47.2b
(log.f64 (+.f64 x (hypot.f64 1 x)))
✓31.2b
(+.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) (fma.f64 -5/112 (pow.f64 x 7) x))
▶46.4b
(log.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/2 x)))
Compiler

Compiled 3791 to 3010 computations (20.6% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.2b
(/.f64 1/8 (pow.f64 x 3))
✓10.7b
(log.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/2 x)))

series3.0ms (0.1%)

Counts
2 → 12
Calls

6 calls:

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

rewrite63.0ms (1.2%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
01022
123520
2309820
Stop Event
1×node limit
Counts
2 → 86
Calls
Call 1
Inputs
(log.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/2 x)))
(/.f64 1/8 (pow.f64 x 3))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 -1/2 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (pow.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 -1/2 x)) 2))) (log.f64 (cbrt.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (fma.f64 1/512 (pow.f64 (pow.f64 x -3) 3) (/.f64 -1/8 (pow.f64 x 3)))) (log.f64 (/.f64 1 (-.f64 (+.f64 (/.f64 1/64 (pow.f64 x 6)) (/.f64 1/4 (*.f64 x x))) (/.f64 -1/16 (pow.f64 x 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (fma.f64 (pow.f64 x 3) -1/2 (*.f64 1/8 x))) (log.f64 (/.f64 1 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 -1/2 x)))) (log.f64 (cbrt.f64 (pow.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 -1/2 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 -1/2 x)))) (log.f64 (sqrt.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (-.f64 (/.f64 1/64 (pow.f64 x 6)) (/.f64 1/4 (*.f64 x x)))) (log.f64 (/.f64 1 (-.f64 (*.f64 1/8 (pow.f64 x -3)) (/.f64 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 -1/2 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (log.f64 (/.f64 (pow.f64 x 4) (fma.f64 (pow.f64 x 3) -1/2 (*.f64 1/8 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (log.f64 (/.f64 (-.f64 (+.f64 (/.f64 1/64 (pow.f64 x 6)) (/.f64 1/4 (*.f64 x x))) (/.f64 -1/16 (pow.f64 x 4))) (fma.f64 1/512 (pow.f64 (pow.f64 x -3) 3) (/.f64 -1/8 (pow.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (log.f64 (/.f64 (-.f64 (*.f64 1/8 (pow.f64 x -3)) (/.f64 -1/2 x)) (-.f64 (/.f64 1/64 (pow.f64 x 6)) (/.f64 1/4 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (fma.f64 1/512 (pow.f64 (pow.f64 x -3) 3) (/.f64 -1/8 (pow.f64 x 3)))) (log.f64 (-.f64 (+.f64 (/.f64 1/64 (pow.f64 x 6)) (/.f64 1/4 (*.f64 x x))) (/.f64 -1/16 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (fma.f64 1/512 (pow.f64 (pow.f64 x -3) 3) (/.f64 -1/8 (pow.f64 x 3)))) (log.f64 (+.f64 (/.f64 1/4 (*.f64 x x)) (-.f64 (/.f64 1/64 (pow.f64 x 6)) (/.f64 -1/16 (pow.f64 x 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (fma.f64 (pow.f64 x 3) -1/2 (*.f64 1/8 x))) (*.f64 4 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (-.f64 (/.f64 1/64 (pow.f64 x 6)) (/.f64 1/4 (*.f64 x x)))) (log.f64 (-.f64 (*.f64 1/8 (pow.f64 x -3)) (/.f64 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (neg.f64 (fma.f64 (pow.f64 x 3) -1/2 (*.f64 1/8 x)))) (log.f64 (neg.f64 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (neg.f64 (fma.f64 1/512 (pow.f64 (pow.f64 x -3) 3) (/.f64 -1/8 (pow.f64 x 3))))) (log.f64 (neg.f64 (-.f64 (+.f64 (/.f64 1/64 (pow.f64 x 6)) (/.f64 1/4 (*.f64 x x))) (/.f64 -1/16 (pow.f64 x 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (neg.f64 (-.f64 (/.f64 1/64 (pow.f64 x 6)) (/.f64 1/4 (*.f64 x x))))) (log.f64 (neg.f64 (-.f64 (*.f64 1/8 (pow.f64 x -3)) (/.f64 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (+.f64 x (*.f64 (*.f64 (pow.f64 x 3) 8) -1/2))) (log.f64 (*.f64 (*.f64 (pow.f64 x 3) 8) x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (fma.f64 -1/8 x (*.f64 (neg.f64 (pow.f64 x 3)) -1/2))) (log.f64 (*.f64 (neg.f64 (pow.f64 x 3)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (fma.f64 1/8 (*.f64 x -2) (pow.f64 x 3))) (log.f64 (*.f64 (pow.f64 x 3) (*.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (fma.f64 x -2 (*.f64 (*.f64 (pow.f64 x 3) 8) 1))) (log.f64 (*.f64 (*.f64 (pow.f64 x 3) 8) (*.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (fma.f64 -1/8 (*.f64 x -2) (*.f64 (neg.f64 (pow.f64 x 3)) 1))) (log.f64 (*.f64 (neg.f64 (pow.f64 x 3)) (*.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (fma.f64 1/8 (neg.f64 x) (*.f64 (pow.f64 x 3) 1/2))) (log.f64 (*.f64 (pow.f64 x 3) (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (fma.f64 -1 x (*.f64 (*.f64 (pow.f64 x 3) 8) 1/2))) (log.f64 (*.f64 (*.f64 (pow.f64 x 3) 8) (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (fma.f64 -1/8 (neg.f64 x) (*.f64 (neg.f64 (pow.f64 x 3)) 1/2))) (log.f64 (*.f64 (neg.f64 (pow.f64 x 3)) (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (+.f64 (pow.f64 x 3) (*.f64 (*.f64 x -2) 1/8))) (log.f64 (*.f64 (*.f64 x -2) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (fma.f64 1/2 (pow.f64 x 3) (*.f64 (neg.f64 x) 1/8))) (log.f64 (*.f64 (neg.f64 x) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (fma.f64 -1/2 (*.f64 (pow.f64 x 3) 8) x)) (log.f64 (*.f64 x (*.f64 (pow.f64 x 3) 8))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (fma.f64 (pow.f64 x 3) 8 (*.f64 (*.f64 x -2) 1))) (log.f64 (*.f64 (*.f64 x -2) (*.f64 (pow.f64 x 3) 8))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (fma.f64 1/2 (*.f64 (pow.f64 x 3) 8) (*.f64 (neg.f64 x) 1))) (log.f64 (*.f64 (neg.f64 x) (*.f64 (pow.f64 x 3) 8))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (fma.f64 -1/2 (neg.f64 (pow.f64 x 3)) (*.f64 x -1/8))) (log.f64 (*.f64 x (neg.f64 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (fma.f64 -1 (pow.f64 x 3) (*.f64 (*.f64 x -2) -1/8))) (log.f64 (*.f64 (*.f64 x -2) (neg.f64 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (fma.f64 1/2 (neg.f64 (pow.f64 x 3)) (*.f64 (neg.f64 x) -1/8))) (log.f64 (*.f64 (neg.f64 x) (neg.f64 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (-.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1/64 (pow.f64 x 6)))) (log.f64 (-.f64 (/.f64 -1/2 x) (*.f64 1/8 (pow.f64 x -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (/.f64 (fma.f64 (pow.f64 x 3) -1/2 (*.f64 1/8 x)) (pow.f64 x 3))) (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3 (log.f64 (cbrt.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 -1/2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 -1/2 x)))) (pow.f64 (cbrt.f64 (log.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 -1/2 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 -1/2 x)))) 2) (cbrt.f64 (log.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 -1/2 x)))) (sqrt.f64 (log.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (log.f64 (sqrt.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (*.f64 3 (log.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 -1/2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 -1/2 x))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 -1/2 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 -1/2 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 -1/2 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (log.f64 (/.f64 (pow.f64 x 4) (fma.f64 (pow.f64 x 3) -1/2 (*.f64 1/8 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (log.f64 (/.f64 (-.f64 (+.f64 (/.f64 1/64 (pow.f64 x 6)) (/.f64 1/4 (*.f64 x x))) (/.f64 -1/16 (pow.f64 x 4))) (fma.f64 1/512 (pow.f64 (pow.f64 x -3) 3) (/.f64 -1/8 (pow.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (log.f64 (/.f64 (-.f64 (*.f64 1/8 (pow.f64 x -3)) (/.f64 -1/2 x)) (-.f64 (/.f64 1/64 (pow.f64 x 6)) (/.f64 1/4 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 -1/2 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 -1/2 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (log.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 -1/2 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 -1/2 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 -1/2 x)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 1/8 (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 1/8) (pow.f64 x -3))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/8) (pow.f64 x -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/8) (pow.f64 x -3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/8) (pow.f64 x -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/8 (pow.f64 x -3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/8 (pow.f64 x -3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/8 (pow.f64 x -3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 1/8 (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/8 (/.f64 1 (neg.f64 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 x) (pow.f64 (/.f64 1/2 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 1/2 x) 2) (/.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 1/8) (pow.f64 x 3/2)) (/.f64 (sqrt.f64 1/8) (pow.f64 x 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -3) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/8 (pow.f64 x -3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/64 (pow.f64 x 6)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/2 x) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 1/8) (pow.f64 x 3/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/512 (pow.f64 (pow.f64 x -3) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3) 8) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (pow.f64 x 3) 8) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1/64 (pow.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/8) (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 1/8 (pow.f64 x -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 1/512 (pow.f64 (pow.f64 x -3) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/8 (pow.f64 x -3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 1/8 (pow.f64 x -3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/8 (pow.f64 x -3))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/8 (pow.f64 x -3))))))))

simplify35.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
840×sub-neg_binary64
636×fma-def_binary64
585×times-frac_binary64
322×associate-+l-_binary64
301×associate-+r+_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
059274
1156264
2423262
31460262
45244262
Stop Event
1×node limit
Counts
98 → 109
Calls
Call 1
Inputs
(+.f64 (*.f64 -3 (log.f64 x)) (log.f64 1/8))
(+.f64 (*.f64 -3 (log.f64 x)) (+.f64 (*.f64 -4 (pow.f64 x 2)) (log.f64 1/8)))
(+.f64 (*.f64 -3 (log.f64 x)) (+.f64 (*.f64 -4 (pow.f64 x 2)) (+.f64 (log.f64 1/8) (*.f64 -8 (pow.f64 x 4)))))
(+.f64 (*.f64 -3 (log.f64 x)) (+.f64 (*.f64 -4 (pow.f64 x 2)) (+.f64 (log.f64 1/8) (+.f64 (*.f64 -8 (pow.f64 x 4)) (*.f64 -64/3 (pow.f64 x 6))))))
(+.f64 (log.f64 -1/2) (log.f64 (/.f64 1 x)))
(-.f64 (+.f64 (log.f64 -1/2) (log.f64 (/.f64 1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 -1/2) (log.f64 (/.f64 1 x))) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (log.f64 -1/2) (log.f64 (/.f64 1 x))) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 1/192 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 1/192 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
Outputs
(+.f64 (*.f64 -3 (log.f64 x)) (log.f64 1/8))
(fma.f64 -3 (log.f64 x) (log.f64 1/8))
(+.f64 (*.f64 -3 (log.f64 x)) (+.f64 (*.f64 -4 (pow.f64 x 2)) (log.f64 1/8)))
(fma.f64 -3 (log.f64 x) (fma.f64 -4 (*.f64 x x) (log.f64 1/8)))
(fma.f64 -3 (log.f64 x) (fma.f64 x (*.f64 x -4) (log.f64 1/8)))
(+.f64 (*.f64 -3 (log.f64 x)) (+.f64 (*.f64 -4 (pow.f64 x 2)) (+.f64 (log.f64 1/8) (*.f64 -8 (pow.f64 x 4)))))
(fma.f64 -3 (log.f64 x) (+.f64 (fma.f64 -4 (*.f64 x x) (log.f64 1/8)) (*.f64 -8 (pow.f64 x 4))))
(fma.f64 -3 (log.f64 x) (fma.f64 -4 (*.f64 x x) (fma.f64 -8 (pow.f64 x 4) (log.f64 1/8))))
(fma.f64 -3 (log.f64 x) (fma.f64 x (*.f64 x -4) (fma.f64 -8 (pow.f64 x 4) (log.f64 1/8))))
(+.f64 (*.f64 -3 (log.f64 x)) (+.f64 (*.f64 -4 (pow.f64 x 2)) (+.f64 (log.f64 1/8) (+.f64 (*.f64 -8 (pow.f64 x 4)) (*.f64 -64/3 (pow.f64 x 6))))))
(fma.f64 -3 (log.f64 x) (fma.f64 -4 (*.f64 x x) (+.f64 (log.f64 1/8) (fma.f64 -8 (pow.f64 x 4) (*.f64 -64/3 (pow.f64 x 6))))))
(+.f64 (fma.f64 -3 (log.f64 x) (fma.f64 -4 (*.f64 x x) (log.f64 1/8))) (fma.f64 -8 (pow.f64 x 4) (*.f64 -64/3 (pow.f64 x 6))))
(fma.f64 -3 (log.f64 x) (fma.f64 x (*.f64 x -4) (fma.f64 -8 (pow.f64 x 4) (fma.f64 -64/3 (pow.f64 x 6) (log.f64 1/8)))))
(fma.f64 -3 (log.f64 x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x -8) -4) (fma.f64 -64/3 (pow.f64 x 6) (log.f64 1/8))))
(+.f64 (log.f64 -1/2) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 -1/2) (neg.f64 (log.f64 x)))
(-.f64 (log.f64 -1/2) (log.f64 x))
(-.f64 (+.f64 (log.f64 -1/2) (log.f64 (/.f64 1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 -1/2) (-.f64 (neg.f64 (log.f64 x)) (/.f64 1/4 (*.f64 x x))))
(+.f64 (-.f64 (log.f64 -1/2) (log.f64 x)) (/.f64 -1/4 (*.f64 x x)))
(+.f64 (-.f64 (log.f64 -1/2) (log.f64 x)) (/.f64 (/.f64 -1/4 x) x))
(-.f64 (+.f64 (log.f64 -1/2) (log.f64 (/.f64 1 x))) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (log.f64 -1/2) (-.f64 (neg.f64 (log.f64 x)) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1/32 (pow.f64 x 4)))))
(+.f64 (-.f64 (-.f64 (log.f64 -1/2) (log.f64 x)) (/.f64 1/32 (pow.f64 x 4))) (/.f64 -1/4 (*.f64 x x)))
(+.f64 (-.f64 (log.f64 -1/2) (log.f64 x)) (+.f64 (/.f64 -1/4 (*.f64 x x)) (/.f64 -1/32 (pow.f64 x 4))))
(+.f64 (-.f64 (log.f64 -1/2) (log.f64 x)) (-.f64 (/.f64 (/.f64 -1/4 x) x) (/.f64 1/32 (pow.f64 x 4))))
(-.f64 (+.f64 (log.f64 -1/2) (log.f64 (/.f64 1 x))) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 1/192 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(-.f64 (+.f64 (log.f64 -1/2) (neg.f64 (log.f64 x))) (+.f64 (/.f64 1/32 (pow.f64 x 4)) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1/192 (pow.f64 x 6)))))
(-.f64 (-.f64 (log.f64 -1/2) (log.f64 x)) (+.f64 (/.f64 1/4 (*.f64 x x)) (+.f64 (/.f64 1/32 (pow.f64 x 4)) (/.f64 1/192 (pow.f64 x 6)))))
(+.f64 (-.f64 (log.f64 -1/2) (log.f64 x)) (-.f64 (/.f64 -1/4 (*.f64 x x)) (+.f64 (/.f64 1/32 (pow.f64 x 4)) (/.f64 1/192 (pow.f64 x 6)))))
(+.f64 (log.f64 -1/2) (+.f64 (-.f64 (/.f64 (/.f64 -1/4 x) x) (log.f64 x)) (-.f64 (/.f64 -1/192 (pow.f64 x 6)) (/.f64 1/32 (pow.f64 x 4)))))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 (/.f64 -1 x)) (-.f64 (log.f64 1/2) (/.f64 1/4 (*.f64 x x))))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (/.f64 -1/4 (*.f64 x x))))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (/.f64 (/.f64 -1/4 x) x)))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (/.f64 1/32 (pow.f64 x 4))) (/.f64 1/4 (*.f64 x x)))
(+.f64 (+.f64 (log.f64 1/2) (-.f64 (log.f64 (/.f64 -1 x)) (/.f64 1/32 (pow.f64 x 4)))) (/.f64 -1/4 (*.f64 x x)))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (+.f64 (log.f64 1/2) (/.f64 -1/32 (pow.f64 x 4))) (/.f64 -1/4 (*.f64 x x))))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (-.f64 (/.f64 (/.f64 -1/4 x) x) (/.f64 1/32 (pow.f64 x 4)))))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 1/192 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(-.f64 (-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (/.f64 1/32 (pow.f64 x 4))) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1/192 (pow.f64 x 6))))
(-.f64 (+.f64 (log.f64 1/2) (-.f64 (log.f64 (/.f64 -1 x)) (/.f64 1/32 (pow.f64 x 4)))) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1/192 (pow.f64 x 6))))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (-.f64 (/.f64 -1/4 (*.f64 x x)) (+.f64 (/.f64 1/32 (pow.f64 x 4)) (/.f64 1/192 (pow.f64 x 6))))))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (+.f64 (log.f64 1/2) (/.f64 (/.f64 -1/4 x) x)) (-.f64 (/.f64 -1/192 (pow.f64 x 6)) (/.f64 1/32 (pow.f64 x 4)))))

prune97.0ms (1.8%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1090109
Fresh000
Picked011
Done022
Total1093112
Error
0b
Counts
112 → 3
Alt Table
StatusErrorProgram
✓47.2b
(log.f64 (+.f64 x (hypot.f64 1 x)))
✓31.2b
(+.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) (fma.f64 -5/112 (pow.f64 x 7) x))
✓46.4b
(log.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/2 x)))
Compiler

Compiled 1888 to 1506 computations (20.2% saved)

regimes27.0ms (0.5%)

Accuracy

Total -63.8b remaining (-∞%)

Threshold costs -63.8b (-∞%)

Counts
5 → 3
Calls
Call 1
Inputs
(+.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) (fma.f64 -5/112 (pow.f64 x 7) x))
(log.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/2 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)))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
Outputs
(log.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/2 x)))
(+.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) (fma.f64 -5/112 (pow.f64 x 7) x))
(log.f64 (+.f64 x (hypot.f64 1 x)))
Results
11.0ms0bx
9.0ms7.5b(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
5.0ms7.5b(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))
Compiler

Compiled 80 to 58 computations (27.5% saved)

bsearch85.0ms (1.6%)

Algorithm
2×binary-search
Calls

2 calls:

43.0ms
x
42.0ms
x
Steps
ItersPointRange
2.7824422181283067e-14
∈ [
2.7824422181283067e-14
, 
587948.0257404712
]
-6841338.693141433
∈ [
-6841338.693141433
, 
-0.00989447715102091
]
Compiler

Compiled 14 to 10 computations (28.6% saved)

simplify2.0ms (0%)

Algorithm
1×egg-herbie
Rules
3×+-commutative_binary64
1×*-commutative_binary64
1×1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03260
13860
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 x -29383325947901836/4294967296) (log.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/2 x))) (if (<=.f64 x 8817911369776785/316912650057057350374175801344) (+.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) (fma.f64 -5/112 (pow.f64 x 7) x)) (log.f64 (+.f64 x (hypot.f64 1 x)))))
Outputs
(if (<=.f64 x -29383325947901836/4294967296) (log.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/2 x))) (if (<=.f64 x 8817911369776785/316912650057057350374175801344) (+.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) (fma.f64 -5/112 (pow.f64 x 7) x)) (log.f64 (+.f64 x (hypot.f64 1 x)))))
(if (<=.f64 x -7345831486975459/1073741824) (log.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/2 x))) (if (<=.f64 x 8817911369776785/316912650057057350374175801344) (+.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) (fma.f64 -5/112 (pow.f64 x 7) x)) (log.f64 (+.f64 x (hypot.f64 1 x)))))

end32.0ms (0.6%)

Stop Event
1×done
Compiler

Compiled 84 to 64 computations (23.8% saved)

Profiling

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