Details

Time bar (total: 4.2s)

analyze367.0ms (8.8%)

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
74.9%25%0%13
74.9%25%0%14
Compiler

Compiled 11 to 8 computations (27.3% saved)

sample3.0s (72.3%)

Results
1.4s2616×body1024valid
706.0ms1254×body2048valid
463.0ms1300×body512valid
257.0ms2431×body128valid
129.0ms615×body256valid
29.0ms40×body4096valid
Compiler

Compiled 22 to 16 computations (27.3% saved)

preprocess12.0ms (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)

simplify8.0ms (0.2%)

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 (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New112
Fresh101
Picked000
Done000
Total213
Error
41.6b
Counts
3 → 1
Alt Table
StatusErrorProgram
▶41.6b
(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
✓0.6b
(+.f64 x (hypot.f64 1 x))
✓2.8b
(log.f64 (+.f64 x (hypot.f64 1 x)))

series5.0ms (0.1%)

Counts
2 → 24
Calls

6 calls:

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

rewrite36.0ms (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
62×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0616
112116
2155516
Stop Event
1×node limit
Counts
2 → 57
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 (exp.f64 (log1p.f64 (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 (exp.f64 (log1p.f64 (+.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 log.f64 (+.f64 1 (expm1.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 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 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 expm1.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x))))))))

simplify27.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
415×associate-/r*_binary64
385×associate-*l*_binary64
364×cancel-sign-sub-inv_binary64
300×fma-neg_binary64
277×sub-neg_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
084411
1254397
2724391
32290391
Stop Event
1×node limit
Counts
81 → 101
Calls
Call 1
Inputs
x
(-.f64 x (*.f64 1/6 (pow.f64 x 3)))
(-.f64 (+.f64 (*.f64 3/40 (pow.f64 x 5)) x) (*.f64 1/6 (pow.f64 x 3)))
(-.f64 (+.f64 (*.f64 3/40 (pow.f64 x 5)) x) (+.f64 (*.f64 5/112 (pow.f64 x 7)) (*.f64 1/6 (pow.f64 x 3))))
(-.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(-.f64 (+.f64 (log.f64 2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))) (log.f64 (/.f64 1 x)))
(-.f64 (+.f64 (log.f64 2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (log.f64 (/.f64 1 x))))
(-.f64 (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (+.f64 (log.f64 2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (log.f64 (/.f64 1 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 (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (+.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)))))
1
(+.f64 1 x)
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(-.f64 (+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x)) (*.f64 1/8 (pow.f64 x 4)))
(*.f64 2 x)
(+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 2 x))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 2 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 2 x))) (*.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 5/128 (/.f64 1 (pow.f64 x 7))) (*.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))))
Outputs
x
(-.f64 x (*.f64 1/6 (pow.f64 x 3)))
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(+.f64 x (*.f64 (pow.f64 x 3) -1/6))
(fma.f64 (pow.f64 x 3) -1/6 x)
(-.f64 (+.f64 (*.f64 3/40 (pow.f64 x 5)) x) (*.f64 1/6 (pow.f64 x 3)))
(-.f64 (fma.f64 3/40 (pow.f64 x 5) x) (*.f64 1/6 (pow.f64 x 3)))
(fma.f64 (pow.f64 x 3) -1/6 (fma.f64 3/40 (pow.f64 x 5) x))
(-.f64 (+.f64 (*.f64 3/40 (pow.f64 x 5)) x) (+.f64 (*.f64 5/112 (pow.f64 x 7)) (*.f64 1/6 (pow.f64 x 3))))
(-.f64 (fma.f64 3/40 (pow.f64 x 5) x) (fma.f64 5/112 (pow.f64 x 7) (*.f64 1/6 (pow.f64 x 3))))
(-.f64 (fma.f64 3/40 (pow.f64 x 5) x) (fma.f64 1/6 (pow.f64 x 3) (*.f64 5/112 (pow.f64 x 7))))
(+.f64 x (fma.f64 3/40 (pow.f64 x 5) (fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 7) -5/112))))
(+.f64 (fma.f64 3/40 (pow.f64 x 5) x) (fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 7) -5/112)))
(-.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(-.f64 (log.f64 2) (neg.f64 (log.f64 x)))
(+.f64 (log.f64 2) (log.f64 x))
(-.f64 (+.f64 (log.f64 2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 2) (-.f64 (/.f64 1/4 (*.f64 x x)) (neg.f64 (log.f64 x))))
(+.f64 (/.f64 1/4 (*.f64 x x)) (+.f64 (log.f64 2) (log.f64 x)))
(+.f64 (log.f64 2) (+.f64 (/.f64 1/4 (*.f64 x x)) (log.f64 x)))
(+.f64 (+.f64 (log.f64 2) (/.f64 1/4 (*.f64 x x))) (log.f64 x))
(-.f64 (+.f64 (log.f64 2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (-.f64 (/.f64 1/4 (*.f64 x x)) (+.f64 (neg.f64 (log.f64 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 x))))
(+.f64 (log.f64 2) (+.f64 (-.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 3/32 (pow.f64 x 4))) (log.f64 x)))
(+.f64 (log.f64 2) (+.f64 (+.f64 (/.f64 1/4 (*.f64 x x)) (log.f64 x)) (/.f64 -3/32 (pow.f64 x 4))))
(-.f64 (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (+.f64 (log.f64 2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (log.f64 (/.f64 1 x))))
(-.f64 (+.f64 (+.f64 (log.f64 2) (/.f64 1/4 (*.f64 x x))) (/.f64 5/96 (pow.f64 x 6))) (+.f64 (neg.f64 (log.f64 x)) (/.f64 3/32 (pow.f64 x 4))))
(+.f64 (+.f64 (log.f64 2) (/.f64 1/4 (*.f64 x x))) (-.f64 (/.f64 5/96 (pow.f64 x 6)) (-.f64 (/.f64 3/32 (pow.f64 x 4)) (log.f64 x))))
(+.f64 (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6))) (-.f64 (+.f64 (log.f64 2) (log.f64 x)) (/.f64 3/32 (pow.f64 x 4))))
(-.f64 (+.f64 (+.f64 (log.f64 2) (/.f64 1/4 (*.f64 x x))) (/.f64 5/96 (pow.f64 x 6))) (-.f64 (/.f64 3/32 (pow.f64 x 4)) (log.f64 x)))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 (/.f64 -1 x)) (-.f64 (log.f64 1/2) (/.f64 1/4 (*.f64 x x))))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (/.f64 -1/4 (*.f64 x x))))
(+.f64 (log.f64 1/2) (+.f64 (log.f64 (/.f64 -1 x)) (/.f64 -1/4 (*.f64 x x))))
(-.f64 (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.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 3/32 (pow.f64 x 4)) (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (/.f64 -1/4 (*.f64 x x)))))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (+.f64 (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 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (+.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 (+.f64 (/.f64 3/32 (pow.f64 x 4)) (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6))))
(+.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (-.f64 (/.f64 3/32 (pow.f64 x 4)) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6)))))
(+.f64 (/.f64 3/32 (pow.f64 x 4)) (+.f64 (log.f64 1/2) (+.f64 (log.f64 (/.f64 -1 x)) (-.f64 (/.f64 -1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6))))))
(+.f64 (/.f64 -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 -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 x (*.f64 x 1/2) 1))
(+.f64 x (fma.f64 (*.f64 x x) 1/2 1))
(-.f64 (+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x)) (*.f64 1/8 (pow.f64 x 4)))
(+.f64 1 (-.f64 (fma.f64 1/2 (*.f64 x x) x) (*.f64 (pow.f64 x 4) 1/8)))
(+.f64 1 (+.f64 (fma.f64 (*.f64 x x) 1/2 x) (*.f64 (pow.f64 x 4) -1/8)))
(fma.f64 (pow.f64 x 4) -1/8 (+.f64 x (fma.f64 x (*.f64 x 1/2) 1)))
(-.f64 (fma.f64 (*.f64 x x) 1/2 x) (fma.f64 (pow.f64 x 4) 1/8 -1))
(*.f64 2 x)
(*.f64 x 2)
(+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 2 x))
(+.f64 (*.f64 x 2) (/.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 (+.f64 (*.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 (fma.f64 x 2 (/.f64 1/2 x)) (/.f64 -1/8 (pow.f64 x 3)))
(-.f64 (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 2 x))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (+.f64 (*.f64 x 2) (/.f64 1/2 x)) (/.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 (/.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 (*.f64 5/128 (/.f64 1 (pow.f64 x 7))) (*.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 5/128 (pow.f64 x 7)) (-.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5)))))
(+.f64 (+.f64 (/.f64 5/128 (pow.f64 x 7)) (-.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 (/.f64 5/128 (pow.f64 x 7)) (/.f64 -1/16 (pow.f64 x 5))) (/.f64 -1/2 x)))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (-.f64 (/.f64 5/128 (pow.f64 x 7)) (/.f64 1/16 (pow.f64 x 5))) (/.f64 1/2 x)))

prune53.0ms (1.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New992101
Fresh000
Picked011
Done000
Total993102
Error
0b
Counts
102 → 3
Alt Table
StatusErrorProgram
▶34.5b
(+.f64 (fma.f64 3/40 (pow.f64 x 5) x) (fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 7) -5/112)))
✓41.6b
(log.f64 (+.f64 x (hypot.f64 1 x)))
49.0b
(log.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 -1/2 x) (/.f64 -1/16 (pow.f64 x 5)))))
Compiler

Compiled 1432 to 1088 computations (24% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(fma.f64 3/40 (pow.f64 x 5) x)
✓0.0b
(fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 7) -5/112))
✓0.1b
(*.f64 (pow.f64 x 7) -5/112)
✓25.4b
(+.f64 (fma.f64 3/40 (pow.f64 x 5) x) (fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 7) -5/112)))

series16.0ms (0.4%)

Counts
4 → 48
Calls

12 calls:

TimeVariablePointExpression
3.0ms
x
@inf
(fma.f64 3/40 (pow.f64 x 5) x)
2.0ms
x
@inf
(fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 7) -5/112))
1.0ms
x
@-inf
(fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 7) -5/112))
1.0ms
x
@-inf
(fma.f64 3/40 (pow.f64 x 5) x)
1.0ms
x
@0
(fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 7) -5/112))

rewrite63.0ms (1.5%)

Algorithm
1×batch-egg-rewrite
Rules
683×prod-diff_binary64
158×add-sqr-sqrt_binary64
153×add-log-exp_binary64
153×log1p-expm1-u_binary64
153×expm1-log1p-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01553
133553
2377153
Stop Event
1×node limit
Counts
4 → 94
Calls
Call 1
Inputs
(+.f64 (fma.f64 3/40 (pow.f64 x 5) x) (fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 7) -5/112)))
(*.f64 (pow.f64 x 7) -5/112)
(fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 7) -5/112))
(fma.f64 3/40 (pow.f64 x 5) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (fma.f64 3/40 (pow.f64 x 5) x) (fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 7) -5/112))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2) (-.f64 (fma.f64 3/40 (pow.f64 x 5) x) (fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 7) -5/112)))) (/.f64 (pow.f64 (fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 7) -5/112)) 2) (-.f64 (fma.f64 3/40 (pow.f64 x 5) x) (fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 7) -5/112)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (fma.f64 3/40 (pow.f64 x 5) x) (fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 7) -5/112))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (fma.f64 3/40 (pow.f64 x 5) x) (fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 7) -5/112))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (fma.f64 3/40 (pow.f64 x 5) x) (fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 7) -5/112)))) (pow.f64 (cbrt.f64 (+.f64 (fma.f64 3/40 (pow.f64 x 5) x) (fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 7) -5/112)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (fma.f64 3/40 (pow.f64 x 5) x) (fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 7) -5/112)))) 2) (cbrt.f64 (+.f64 (fma.f64 3/40 (pow.f64 x 5) x) (fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 7) -5/112)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (fma.f64 3/40 (pow.f64 x 5) x) (fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 7) -5/112)))) (sqrt.f64 (+.f64 (fma.f64 3/40 (pow.f64 x 5) x) (fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 7) -5/112)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3) (pow.f64 (fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 7) -5/112)) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2) (*.f64 (fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 7) -5/112)) (-.f64 (fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 7) -5/112)) (fma.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) (pow.f64 (fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 7) -5/112)) 2)) (/.f64 1 (-.f64 (fma.f64 3/40 (pow.f64 x 5) x) (fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 7) -5/112)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2) (*.f64 (fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 7) -5/112)) (-.f64 (fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 7) -5/112)) (fma.f64 3/40 (pow.f64 x 5) x)))) (+.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3) (pow.f64 (fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 7) -5/112)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (fma.f64 3/40 (pow.f64 x 5) x) (fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 7) -5/112))) (-.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2) (pow.f64 (fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 7) -5/112)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3) (pow.f64 (fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 7) -5/112)) 3)) (+.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2) (*.f64 (fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 7) -5/112)) (-.f64 (fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 7) -5/112)) (fma.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) 3) (pow.f64 (fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 7) -5/112)) 3)) (+.f64 (pow.f64 (fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 7) -5/112)) 2) (-.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2) (*.f64 (fma.f64 3/40 (pow.f64 x 5) x) (fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 7) -5/112))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2) (pow.f64 (fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 7) -5/112)) 2)) (-.f64 (fma.f64 3/40 (pow.f64 x 5) x) (fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 7) -5/112))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3) (pow.f64 (fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 7) -5/112)) 3))) (neg.f64 (+.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2) (*.f64 (fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 7) -5/112)) (-.f64 (fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 7) -5/112)) (fma.f64 3/40 (pow.f64 x 5) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2) (pow.f64 (fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 7) -5/112)) 2))) (neg.f64 (-.f64 (fma.f64 3/40 (pow.f64 x 5) x) (fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 7) -5/112)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 7) -5/112)) 2) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2)) (-.f64 (fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 7) -5/112)) (fma.f64 3/40 (pow.f64 x 5) x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (fma.f64 3/40 (pow.f64 x 5) x) (fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 7) -5/112))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (fma.f64 3/40 (pow.f64 x 5) x) (fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 7) -5/112))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (fma.f64 3/40 (pow.f64 x 5) x) (fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 7) -5/112)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (fma.f64 3/40 (pow.f64 x 5) x) (fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 7) -5/112)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (fma.f64 3/40 (pow.f64 x 5) x) (fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 7) -5/112))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (fma.f64 3/40 (pow.f64 x 5) x) (fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 7) -5/112)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (fma.f64 3/40 (pow.f64 x 5) x) (fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 7) -5/112))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (fma.f64 3/40 (pow.f64 x 5) x) (fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 7) -5/112))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (fma.f64 3/40 (pow.f64 x 5) x) (fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 7) -5/112)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (fma.f64 3/40 (pow.f64 x 5) x) (fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 7) -5/112)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (fma.f64 3/40 (pow.f64 x 5) x) (fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 7) -5/112)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 3/40 (pow.f64 x 5) x) (fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 7) -5/112)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 7) -5/112)) (fma.f64 3/40 (pow.f64 x 5) x))))) (#(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)) (fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 7) -5/112)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 7) -5/112))) 2) (cbrt.f64 (fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 7) -5/112))) (fma.f64 3/40 (pow.f64 x 5) x))))) (#(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)) (fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 7) -5/112)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 7) -5/112))) (sqrt.f64 (fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 7) -5/112))) (fma.f64 3/40 (pow.f64 x 5) x))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (fma.f64 3/40 (pow.f64 x 5) x) (fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 7) -5/112)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x 7) -5/112))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 7) -5/112) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (pow.f64 x 7) -5/112) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (pow.f64 x 7) -5/112)) 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 sqrt.f64 (*.f64 25/12544 (pow.f64 x 14)))))) (#(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 (pow.f64 x 7) -5/112))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (pow.f64 x 7) -5/112) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (pow.f64 x 7) -5/112)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x 7) -5/112)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 x 7) -5/112)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 x 7) -5/112)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 x 7) -5/112) (*.f64 (pow.f64 x 3) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 x 3) -1/6) (*.f64 (pow.f64 x 7) -5/112))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (pow.f64 x 3) -1/6) 1) (*.f64 (pow.f64 x 7) -5/112))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 7) -5/112)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 7) -5/112)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 7) -5/112)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 7) -5/112))) (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 7) -5/112))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 7) -5/112))) 2) (cbrt.f64 (fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 7) -5/112))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 7) -5/112))) (sqrt.f64 (fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 7) -5/112))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 x 3) -1/6) 3) (pow.f64 (*.f64 (pow.f64 x 7) -5/112) 3)) (+.f64 (*.f64 (*.f64 (pow.f64 x 3) -1/6) (*.f64 (pow.f64 x 3) -1/6)) (-.f64 (*.f64 25/12544 (pow.f64 x 14)) (*.f64 (*.f64 (pow.f64 x 3) -1/6) (*.f64 (pow.f64 x 7) -5/112)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 (pow.f64 x 3) -1/6) (*.f64 (pow.f64 x 3) -1/6)) (*.f64 25/12544 (pow.f64 x 14))) (-.f64 (*.f64 (pow.f64 x 3) -1/6) (*.f64 (pow.f64 x 7) -5/112)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 7) -5/112)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 7) -5/112))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 7) -5/112))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 7) -5/112)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 7) -5/112)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 7) -5/112))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 7) -5/112)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 7) -5/112)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 7) -5/112))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 7) -5/112))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 7) -5/112))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 7) -5/112))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 3/40 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 3/40 (pow.f64 x 5)) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 3/40 (pow.f64 x 5)) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 3/40 (pow.f64 x 5) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 3/40 (pow.f64 x 5) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 3/40 (pow.f64 x 5) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) x)) (pow.f64 (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) x)) 2) (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 3/40 (pow.f64 x 5) x)) (sqrt.f64 (fma.f64 3/40 (pow.f64 x 5) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 3/40 (pow.f64 x 5)) 3) (pow.f64 x 3)) (+.f64 (*.f64 (*.f64 3/40 (pow.f64 x 5)) (*.f64 3/40 (pow.f64 x 5))) (-.f64 (*.f64 x x) (*.f64 (*.f64 3/40 (pow.f64 x 5)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 3/40 (pow.f64 x 5)) (*.f64 3/40 (pow.f64 x 5))) (*.f64 x x)) (-.f64 (*.f64 3/40 (pow.f64 x 5)) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 3/40 (pow.f64 x 5) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 3/40 (pow.f64 x 5) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 3/40 (pow.f64 x 5) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 3/40 (pow.f64 x 5) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 3/40 (pow.f64 x 5) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 3/40 (pow.f64 x 5) x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 3/40 (pow.f64 x 5) x)))))))

simplify48.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
652×fma-neg_binary64
439×fma-def_binary64
418×cancel-sign-sub-inv_binary64
400×distribute-rgt-neg-in_binary64
311×distribute-lft-neg-in_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
026528
176524
2194498
3632492
42057492
53749492
64985492
Stop Event
1×node limit
Counts
142 → 113
Calls
Call 1
Inputs
x
(-.f64 x (*.f64 1/6 (pow.f64 x 3)))
(-.f64 (+.f64 (*.f64 3/40 (pow.f64 x 5)) x) (*.f64 1/6 (pow.f64 x 3)))
(-.f64 (+.f64 (*.f64 3/40 (pow.f64 x 5)) x) (+.f64 (*.f64 5/112 (pow.f64 x 7)) (*.f64 1/6 (pow.f64 x 3))))
(*.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)) (*.f64 1/6 (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 3/40 (pow.f64 x 5)) x) (+.f64 (*.f64 5/112 (pow.f64 x 7)) (*.f64 1/6 (pow.f64 x 3))))
(*.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)) (*.f64 1/6 (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 3/40 (pow.f64 x 5)) x) (+.f64 (*.f64 5/112 (pow.f64 x 7)) (*.f64 1/6 (pow.f64 x 3))))
(*.f64 -5/112 (pow.f64 x 7))
(*.f64 -5/112 (pow.f64 x 7))
(*.f64 -5/112 (pow.f64 x 7))
(*.f64 -5/112 (pow.f64 x 7))
(*.f64 -5/112 (pow.f64 x 7))
(*.f64 -5/112 (pow.f64 x 7))
(*.f64 -5/112 (pow.f64 x 7))
(*.f64 -5/112 (pow.f64 x 7))
(*.f64 -5/112 (pow.f64 x 7))
(*.f64 -5/112 (pow.f64 x 7))
(*.f64 -5/112 (pow.f64 x 7))
(*.f64 -5/112 (pow.f64 x 7))
(*.f64 -1/6 (pow.f64 x 3))
(neg.f64 (+.f64 (*.f64 5/112 (pow.f64 x 7)) (*.f64 1/6 (pow.f64 x 3))))
(neg.f64 (+.f64 (*.f64 5/112 (pow.f64 x 7)) (*.f64 1/6 (pow.f64 x 3))))
(neg.f64 (+.f64 (*.f64 5/112 (pow.f64 x 7)) (*.f64 1/6 (pow.f64 x 3))))
(*.f64 -5/112 (pow.f64 x 7))
(neg.f64 (+.f64 (*.f64 5/112 (pow.f64 x 7)) (*.f64 1/6 (pow.f64 x 3))))
(neg.f64 (+.f64 (*.f64 5/112 (pow.f64 x 7)) (*.f64 1/6 (pow.f64 x 3))))
(neg.f64 (+.f64 (*.f64 5/112 (pow.f64 x 7)) (*.f64 1/6 (pow.f64 x 3))))
(*.f64 -5/112 (pow.f64 x 7))
(neg.f64 (+.f64 (*.f64 5/112 (pow.f64 x 7)) (*.f64 1/6 (pow.f64 x 3))))
(neg.f64 (+.f64 (*.f64 5/112 (pow.f64 x 7)) (*.f64 1/6 (pow.f64 x 3))))
(neg.f64 (+.f64 (*.f64 5/112 (pow.f64 x 7)) (*.f64 1/6 (pow.f64 x 3))))
x
(+.f64 (*.f64 3/40 (pow.f64 x 5)) x)
(+.f64 (*.f64 3/40 (pow.f64 x 5)) x)
(+.f64 (*.f64 3/40 (pow.f64 x 5)) x)
(*.f64 3/40 (pow.f64 x 5))
(+.f64 (*.f64 3/40 (pow.f64 x 5)) x)
(+.f64 (*.f64 3/40 (pow.f64 x 5)) x)
(+.f64 (*.f64 3/40 (pow.f64 x 5)) x)
(*.f64 3/40 (pow.f64 x 5))
(+.f64 (*.f64 3/40 (pow.f64 x 5)) x)
(+.f64 (*.f64 3/40 (pow.f64 x 5)) x)
(+.f64 (*.f64 3/40 (pow.f64 x 5)) x)
Outputs
x
(-.f64 x (*.f64 1/6 (pow.f64 x 3)))
(+.f64 x (*.f64 (pow.f64 x 3) -1/6))
(fma.f64 (pow.f64 x 3) -1/6 x)
(-.f64 (+.f64 (*.f64 3/40 (pow.f64 x 5)) x) (*.f64 1/6 (pow.f64 x 3)))
(+.f64 (fma.f64 3/40 (pow.f64 x 5) x) (*.f64 (pow.f64 x 3) -1/6))
(-.f64 (fma.f64 3/40 (pow.f64 x 5) x) (*.f64 1/6 (pow.f64 x 3)))
(fma.f64 (pow.f64 x 3) -1/6 (fma.f64 3/40 (pow.f64 x 5) x))
(-.f64 (+.f64 (*.f64 3/40 (pow.f64 x 5)) x) (+.f64 (*.f64 5/112 (pow.f64 x 7)) (*.f64 1/6 (pow.f64 x 3))))
(-.f64 (fma.f64 3/40 (pow.f64 x 5) x) (fma.f64 5/112 (pow.f64 x 7) (*.f64 1/6 (pow.f64 x 3))))
(-.f64 (fma.f64 3/40 (pow.f64 x 5) x) (fma.f64 1/6 (pow.f64 x 3) (*.f64 5/112 (pow.f64 x 7))))
(+.f64 x (fma.f64 3/40 (pow.f64 x 5) (fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 7) -5/112))))
(fma.f64 (pow.f64 x 3) -1/6 (fma.f64 (pow.f64 x 7) -5/112 (fma.f64 3/40 (pow.f64 x 5) x)))
(*.f64 -5/112 (pow.f64 x 7))
(*.f64 (pow.f64 x 7) -5/112)
(-.f64 (*.f64 3/40 (pow.f64 x 5)) (*.f64 5/112 (pow.f64 x 7)))
(+.f64 (*.f64 3/40 (pow.f64 x 5)) (*.f64 (pow.f64 x 7) -5/112))
(fma.f64 3/40 (pow.f64 x 5) (*.f64 (pow.f64 x 7) -5/112))
(-.f64 (*.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 5/112 (pow.f64 x 7)) (*.f64 1/6 (pow.f64 x 3))))
(-.f64 (*.f64 3/40 (pow.f64 x 5)) (fma.f64 5/112 (pow.f64 x 7) (*.f64 1/6 (pow.f64 x 3))))
(+.f64 (fma.f64 3/40 (pow.f64 x 5) (*.f64 (pow.f64 x 7) -5/112)) (*.f64 (pow.f64 x 3) -1/6))
(fma.f64 3/40 (pow.f64 x 5) (fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 7) -5/112)))
(fma.f64 (pow.f64 x 3) -1/6 (fma.f64 3/40 (pow.f64 x 5) (*.f64 (pow.f64 x 7) -5/112)))
(-.f64 (+.f64 (*.f64 3/40 (pow.f64 x 5)) x) (+.f64 (*.f64 5/112 (pow.f64 x 7)) (*.f64 1/6 (pow.f64 x 3))))
(-.f64 (fma.f64 3/40 (pow.f64 x 5) x) (fma.f64 5/112 (pow.f64 x 7) (*.f64 1/6 (pow.f64 x 3))))
(-.f64 (fma.f64 3/40 (pow.f64 x 5) x) (fma.f64 1/6 (pow.f64 x 3) (*.f64 5/112 (pow.f64 x 7))))
(+.f64 x (fma.f64 3/40 (pow.f64 x 5) (fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 7) -5/112))))
(fma.f64 (pow.f64 x 3) -1/6 (fma.f64 (pow.f64 x 7) -5/112 (fma.f64 3/40 (pow.f64 x 5) x)))
(*.f64 -5/112 (pow.f64 x 7))
(*.f64 (pow.f64 x 7) -5/112)
(-.f64 (*.f64 3/40 (pow.f64 x 5)) (*.f64 5/112 (pow.f64 x 7)))
(+.f64 (*.f64 3/40 (pow.f64 x 5)) (*.f64 (pow.f64 x 7) -5/112))
(fma.f64 3/40 (pow.f64 x 5) (*.f64 (pow.f64 x 7) -5/112))
(-.f64 (*.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 5/112 (pow.f64 x 7)) (*.f64 1/6 (pow.f64 x 3))))
(-.f64 (*.f64 3/40 (pow.f64 x 5)) (fma.f64 5/112 (pow.f64 x 7) (*.f64 1/6 (pow.f64 x 3))))
(+.f64 (fma.f64 3/40 (pow.f64 x 5) (*.f64 (pow.f64 x 7) -5/112)) (*.f64 (pow.f64 x 3) -1/6))
(fma.f64 3/40 (pow.f64 x 5) (fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 7) -5/112)))
(fma.f64 (pow.f64 x 3) -1/6 (fma.f64 3/40 (pow.f64 x 5) (*.f64 (pow.f64 x 7) -5/112)))
(-.f64 (+.f64 (*.f64 3/40 (pow.f64 x 5)) x) (+.f64 (*.f64 5/112 (pow.f64 x 7)) (*.f64 1/6 (pow.f64 x 3))))
(-.f64 (fma.f64 3/40 (pow.f64 x 5) x) (fma.f64 5/112 (pow.f64 x 7) (*.f64 1/6 (pow.f64 x 3))))
(-.f64 (fma.f64 3/40 (pow.f64 x 5) x) (fma.f64 1/6 (pow.f64 x 3) (*.f64 5/112 (pow.f64 x 7))))
(+.f64 x (fma.f64 3/40 (pow.f64 x 5) (fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 7) -5/112))))
(fma.f64 (pow.f64 x 3) -1/6 (fma.f64 (pow.f64 x 7) -5/112 (fma.f64 3/40 (pow.f64 x 5) x)))
(*.f64 -5/112 (pow.f64 x 7))
(*.f64 (pow.f64 x 7) -5/112)
(*.f64 -5/112 (pow.f64 x 7))
(*.f64 (pow.f64 x 7) -5/112)
(*.f64 -5/112 (pow.f64 x 7))
(*.f64 (pow.f64 x 7) -5/112)
(*.f64 -5/112 (pow.f64 x 7))
(*.f64 (pow.f64 x 7) -5/112)
(*.f64 -5/112 (pow.f64 x 7))
(*.f64 (pow.f64 x 7) -5/112)
(*.f64 -5/112 (pow.f64 x 7))
(*.f64 (pow.f64 x 7) -5/112)
(*.f64 -5/112 (pow.f64 x 7))
(*.f64 (pow.f64 x 7) -5/112)
(*.f64 -5/112 (pow.f64 x 7))
(*.f64 (pow.f64 x 7) -5/112)
(*.f64 -5/112 (pow.f64 x 7))
(*.f64 (pow.f64 x 7) -5/112)
(*.f64 -5/112 (pow.f64 x 7))
(*.f64 (pow.f64 x 7) -5/112)
(*.f64 -5/112 (pow.f64 x 7))
(*.f64 (pow.f64 x 7) -5/112)
(*.f64 -5/112 (pow.f64 x 7))
(*.f64 (pow.f64 x 7) -5/112)
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) -1/6)
(neg.f64 (+.f64 (*.f64 5/112 (pow.f64 x 7)) (*.f64 1/6 (pow.f64 x 3))))
(neg.f64 (fma.f64 5/112 (pow.f64 x 7) (*.f64 1/6 (pow.f64 x 3))))
(neg.f64 (fma.f64 1/6 (pow.f64 x 3) (*.f64 5/112 (pow.f64 x 7))))
(fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 7) -5/112))
(neg.f64 (+.f64 (*.f64 5/112 (pow.f64 x 7)) (*.f64 1/6 (pow.f64 x 3))))
(neg.f64 (fma.f64 5/112 (pow.f64 x 7) (*.f64 1/6 (pow.f64 x 3))))
(neg.f64 (fma.f64 1/6 (pow.f64 x 3) (*.f64 5/112 (pow.f64 x 7))))
(fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 7) -5/112))
(neg.f64 (+.f64 (*.f64 5/112 (pow.f64 x 7)) (*.f64 1/6 (pow.f64 x 3))))
(neg.f64 (fma.f64 5/112 (pow.f64 x 7) (*.f64 1/6 (pow.f64 x 3))))
(neg.f64 (fma.f64 1/6 (pow.f64 x 3) (*.f64 5/112 (pow.f64 x 7))))
(fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 7) -5/112))
(*.f64 -5/112 (pow.f64 x 7))
(*.f64 (pow.f64 x 7) -5/112)
(neg.f64 (+.f64 (*.f64 5/112 (pow.f64 x 7)) (*.f64 1/6 (pow.f64 x 3))))
(neg.f64 (fma.f64 5/112 (pow.f64 x 7) (*.f64 1/6 (pow.f64 x 3))))
(neg.f64 (fma.f64 1/6 (pow.f64 x 3) (*.f64 5/112 (pow.f64 x 7))))
(fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 7) -5/112))
(neg.f64 (+.f64 (*.f64 5/112 (pow.f64 x 7)) (*.f64 1/6 (pow.f64 x 3))))
(neg.f64 (fma.f64 5/112 (pow.f64 x 7) (*.f64 1/6 (pow.f64 x 3))))
(neg.f64 (fma.f64 1/6 (pow.f64 x 3) (*.f64 5/112 (pow.f64 x 7))))
(fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 7) -5/112))
(neg.f64 (+.f64 (*.f64 5/112 (pow.f64 x 7)) (*.f64 1/6 (pow.f64 x 3))))
(neg.f64 (fma.f64 5/112 (pow.f64 x 7) (*.f64 1/6 (pow.f64 x 3))))
(neg.f64 (fma.f64 1/6 (pow.f64 x 3) (*.f64 5/112 (pow.f64 x 7))))
(fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 7) -5/112))
(*.f64 -5/112 (pow.f64 x 7))
(*.f64 (pow.f64 x 7) -5/112)
(neg.f64 (+.f64 (*.f64 5/112 (pow.f64 x 7)) (*.f64 1/6 (pow.f64 x 3))))
(neg.f64 (fma.f64 5/112 (pow.f64 x 7) (*.f64 1/6 (pow.f64 x 3))))
(neg.f64 (fma.f64 1/6 (pow.f64 x 3) (*.f64 5/112 (pow.f64 x 7))))
(fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 7) -5/112))
(neg.f64 (+.f64 (*.f64 5/112 (pow.f64 x 7)) (*.f64 1/6 (pow.f64 x 3))))
(neg.f64 (fma.f64 5/112 (pow.f64 x 7) (*.f64 1/6 (pow.f64 x 3))))
(neg.f64 (fma.f64 1/6 (pow.f64 x 3) (*.f64 5/112 (pow.f64 x 7))))
(fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 7) -5/112))
(neg.f64 (+.f64 (*.f64 5/112 (pow.f64 x 7)) (*.f64 1/6 (pow.f64 x 3))))
(neg.f64 (fma.f64 5/112 (pow.f64 x 7) (*.f64 1/6 (pow.f64 x 3))))
(neg.f64 (fma.f64 1/6 (pow.f64 x 3) (*.f64 5/112 (pow.f64 x 7))))
(fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 7) -5/112))
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)) x)
(fma.f64 3/40 (pow.f64 x 5) x)
(+.f64 (*.f64 3/40 (pow.f64 x 5)) x)
(fma.f64 3/40 (pow.f64 x 5) x)
(*.f64 3/40 (pow.f64 x 5))
(+.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)) x)
(fma.f64 3/40 (pow.f64 x 5) x)
(+.f64 (*.f64 3/40 (pow.f64 x 5)) x)
(fma.f64 3/40 (pow.f64 x 5) x)
(*.f64 3/40 (pow.f64 x 5))
(+.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)) x)
(fma.f64 3/40 (pow.f64 x 5) x)
(+.f64 (*.f64 3/40 (pow.f64 x 5)) x)
(fma.f64 3/40 (pow.f64 x 5) x)

prune80.0ms (1.9%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1130113
Fresh011
Picked011
Done011
Total1133116
Error
0b
Counts
116 → 3
Alt Table
StatusErrorProgram
✓34.5b
(+.f64 (fma.f64 3/40 (pow.f64 x 5) x) (fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 7) -5/112)))
✓41.6b
(log.f64 (+.f64 x (hypot.f64 1 x)))
▶49.0b
(log.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 -1/2 x) (/.f64 -1/16 (pow.f64 x 5)))))
Compiler

Compiled 2717 to 2158 computations (20.6% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 -1/16 (pow.f64 x 5))
✓0.3b
(/.f64 1/8 (pow.f64 x 3))
✓11.9b
(log.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 -1/2 x) (/.f64 -1/16 (pow.f64 x 5)))))
✓18.7b
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 -1/2 x) (/.f64 -1/16 (pow.f64 x 5))))

series14.0ms (0.3%)

Counts
4 → 24
Calls

12 calls:

TimeVariablePointExpression
3.0ms
x
@-inf
(/.f64 -1/16 (pow.f64 x 5))
1.0ms
x
@0
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 -1/2 x) (/.f64 -1/16 (pow.f64 x 5))))
1.0ms
x
@0
(log.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 -1/2 x) (/.f64 -1/16 (pow.f64 x 5)))))
1.0ms
x
@-inf
(log.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 -1/2 x) (/.f64 -1/16 (pow.f64 x 5)))))
1.0ms
x
@inf
(log.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 -1/2 x) (/.f64 -1/16 (pow.f64 x 5)))))

rewrite42.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
175×add-sqr-sqrt_binary64
171×add-log-exp_binary64
170×log1p-expm1-u_binary64
170×expm1-log1p-u_binary64
169×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01560
136152
Stop Event
1×node limit
Counts
4 → 123
Calls
Call 1
Inputs
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 -1/2 x) (/.f64 -1/16 (pow.f64 x 5))))
(log.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 -1/2 x) (/.f64 -1/16 (pow.f64 x 5)))))
(/.f64 1/8 (pow.f64 x 3))
(/.f64 -1/16 (pow.f64 x 5))
Outputs
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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (+.f64 (/.f64 1/4 (*.f64 x x)) (-.f64 (/.f64 1/256 (pow.f64 x 10)) (/.f64 1/32 (pow.f64 x 6)))) (*.f64 (*.f64 (pow.f64 x 3) 8) (+.f64 (/.f64 -1/8 (pow.f64 x 3)) (*.f64 -1/4096 (pow.f64 (pow.f64 x -5) 3))))) (*.f64 (*.f64 (pow.f64 x 3) 8) (+.f64 (/.f64 1/4 (*.f64 x x)) (-.f64 (/.f64 1/256 (pow.f64 x 10)) (/.f64 1/32 (pow.f64 x 6))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 -1/8 (+.f64 (/.f64 1/4 (*.f64 x x)) (-.f64 (/.f64 1/256 (pow.f64 x 10)) (/.f64 1/32 (pow.f64 x 6))))) (*.f64 (neg.f64 (pow.f64 x 3)) (+.f64 (/.f64 -1/8 (pow.f64 x 3)) (*.f64 -1/4096 (pow.f64 (pow.f64 x -5) 3))))) (*.f64 (neg.f64 (pow.f64 x 3)) (+.f64 (/.f64 1/4 (*.f64 x x)) (-.f64 (/.f64 1/256 (pow.f64 x 10)) (/.f64 1/32 (pow.f64 x 6))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 1/8 (+.f64 (/.f64 -1/2 x) (*.f64 1/16 (pow.f64 x -5)))) (*.f64 (pow.f64 x 3) (-.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1/256 (pow.f64 x 10))))) 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simplify27.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
883×fma-def_binary64
313×associate-/r*_binary64
306×associate-*l*_binary64
236×sub-neg_binary64
220×associate-*r*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
075467
1221459
2589457
31816451
Stop Event
1×node limit
Counts
147 → 154
Calls
Call 1
Inputs
(/.f64 -1/16 (pow.f64 x 5))
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/16 (/.f64 1 (pow.f64 x 5))))
(-.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 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))))
(/.f64 -1/2 x)
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.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 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))))
(/.f64 -1/2 x)
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.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 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))))
(-.f64 (log.f64 -1/16) (*.f64 5 (log.f64 x)))
(-.f64 (log.f64 -1/16) (+.f64 (*.f64 5 (log.f64 x)) (*.f64 2 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 6 (pow.f64 x 4)) (log.f64 -1/16)) (+.f64 (*.f64 5 (log.f64 x)) (*.f64 2 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 6 (pow.f64 x 4)) (+.f64 (*.f64 40/3 (pow.f64 x 6)) (log.f64 -1/16))) (+.f64 (*.f64 5 (log.f64 x)) (*.f64 2 (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 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (log.f64 (/.f64 1 x)) (log.f64 -1/2))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (log.f64 (/.f64 1 x)) (+.f64 (*.f64 5/192 (/.f64 1 (pow.f64 x 6))) (log.f64 -1/2)))) (*.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 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 5/192 (/.f64 1 (pow.f64 x 6))) (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
Outputs
(/.f64 -1/16 (pow.f64 x 5))
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/16 (/.f64 1 (pow.f64 x 5))))
(-.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/16 (pow.f64 x 5)))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/16 (pow.f64 x 5)))
(-.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 (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 -1/16 (pow.f64 x 5)) (+.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 (/.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 -1/16 (pow.f64 x 5)) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/2 x)))
(/.f64 -1/2 x)
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/2 x))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/2 x))
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.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 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 -1/16 (pow.f64 x 5)) (+.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 (/.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 -1/16 (pow.f64 x 5)) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/2 x)))
(/.f64 -1/2 x)
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/2 x))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/2 x))
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.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 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 -1/16 (pow.f64 x 5)) (+.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 (/.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 -1/16 (pow.f64 x 5)) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/2 x)))
(-.f64 (log.f64 -1/16) (*.f64 5 (log.f64 x)))
(+.f64 (log.f64 -1/16) (*.f64 -5 (log.f64 x)))
(+.f64 (log.f64 -1/16) (*.f64 (log.f64 x) -5))
(fma.f64 (log.f64 x) -5 (log.f64 -1/16))
(-.f64 (log.f64 -1/16) (+.f64 (*.f64 5 (log.f64 x)) (*.f64 2 (pow.f64 x 2))))
(-.f64 (log.f64 -1/16) (fma.f64 5 (log.f64 x) (*.f64 2 (*.f64 x x))))
(-.f64 (log.f64 -1/16) (fma.f64 5 (log.f64 x) (*.f64 x (*.f64 x 2))))
(+.f64 (log.f64 -1/16) (fma.f64 (log.f64 x) -5 (*.f64 (*.f64 x x) -2)))
(fma.f64 x (*.f64 x -2) (fma.f64 (log.f64 x) -5 (log.f64 -1/16)))
(-.f64 (+.f64 (*.f64 6 (pow.f64 x 4)) (log.f64 -1/16)) (+.f64 (*.f64 5 (log.f64 x)) (*.f64 2 (pow.f64 x 2))))
(-.f64 (fma.f64 6 (pow.f64 x 4) (log.f64 -1/16)) (fma.f64 5 (log.f64 x) (*.f64 2 (*.f64 x x))))
(-.f64 (fma.f64 6 (pow.f64 x 4) (log.f64 -1/16)) (fma.f64 5 (log.f64 x) (*.f64 x (*.f64 x 2))))
(+.f64 (fma.f64 6 (pow.f64 x 4) (log.f64 -1/16)) (fma.f64 (log.f64 x) -5 (*.f64 (*.f64 x x) -2)))
(fma.f64 x (*.f64 x -2) (fma.f64 (log.f64 x) -5 (fma.f64 6 (pow.f64 x 4) (log.f64 -1/16))))
(-.f64 (+.f64 (*.f64 6 (pow.f64 x 4)) (+.f64 (*.f64 40/3 (pow.f64 x 6)) (log.f64 -1/16))) (+.f64 (*.f64 5 (log.f64 x)) (*.f64 2 (pow.f64 x 2))))
(-.f64 (fma.f64 6 (pow.f64 x 4) (fma.f64 40/3 (pow.f64 x 6) (log.f64 -1/16))) (fma.f64 5 (log.f64 x) (*.f64 2 (*.f64 x x))))
(-.f64 (fma.f64 6 (pow.f64 x 4) (fma.f64 40/3 (pow.f64 x 6) (log.f64 -1/16))) (fma.f64 5 (log.f64 x) (*.f64 x (*.f64 x 2))))
(+.f64 (fma.f64 6 (pow.f64 x 4) (log.f64 -1/16)) (fma.f64 40/3 (pow.f64 x 6) (fma.f64 (log.f64 x) -5 (*.f64 (*.f64 x x) -2))))
(fma.f64 x (*.f64 x -2) (fma.f64 6 (pow.f64 x 4) (fma.f64 40/3 (pow.f64 x 6) (fma.f64 (log.f64 x) -5 (log.f64 -1/16)))))
(+.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 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (log.f64 (/.f64 1 x)) (log.f64 -1/2))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 3/32 (pow.f64 x 4)) (+.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 (/.f64 3/32 (pow.f64 x 4)) (/.f64 -1/4 (*.f64 x x))))
(+.f64 (log.f64 -1/2) (-.f64 (/.f64 3/32 (pow.f64 x 4)) (+.f64 (log.f64 x) (/.f64 (/.f64 1/4 x) x))))
(-.f64 (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (log.f64 (/.f64 1 x)) (+.f64 (*.f64 5/192 (/.f64 1 (pow.f64 x 6))) (log.f64 -1/2)))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 3/32 (pow.f64 x 4)) (-.f64 (+.f64 (neg.f64 (log.f64 x)) (+.f64 (log.f64 -1/2) (/.f64 5/192 (pow.f64 x 6)))) (/.f64 1/4 (*.f64 x x))))
(+.f64 (/.f64 3/32 (pow.f64 x 4)) (+.f64 (+.f64 (-.f64 (log.f64 -1/2) (log.f64 x)) (/.f64 5/192 (pow.f64 x 6))) (/.f64 -1/4 (*.f64 x x))))
(+.f64 (/.f64 3/32 (pow.f64 x 4)) (+.f64 (-.f64 (log.f64 -1/2) (log.f64 x)) (+.f64 (/.f64 5/192 (pow.f64 x 6)) (/.f64 -1/4 (*.f64 x x)))))
(+.f64 (log.f64 -1/2) (+.f64 (-.f64 (/.f64 5/192 (pow.f64 x 6)) (log.f64 x)) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (/.f64 -1/4 (*.f64 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 -1/4 (*.f64 x x))))
(+.f64 (log.f64 (/.f64 -1 x)) (-.f64 (log.f64 1/2) (/.f64 (/.f64 1/4 x) x)))
(-.f64 (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.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 3/32 (pow.f64 x 4)) (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (/.f64 -1/4 (*.f64 x x)))))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (+.f64 (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 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 5/192 (/.f64 1 (pow.f64 x 6))) (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 3/32 (pow.f64 x 4)) (-.f64 (+.f64 (/.f64 5/192 (pow.f64 x 6)) (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) (/.f64 1/4 (*.f64 x x))))
(+.f64 (/.f64 3/32 (pow.f64 x 4)) (+.f64 (/.f64 5/192 (pow.f64 x 6)) (+.f64 (log.f64 (/.f64 -1 x)) (+.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 (/.f64 5/192 (pow.f64 x 6)) (/.f64 -1/4 (*.f64 x x))))))

prune109.0ms (2.6%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1540154
Fresh000
Picked011
Done022
Total1543157
Error
0b
Counts
157 → 3
Alt Table
StatusErrorProgram
✓34.5b
(+.f64 (fma.f64 3/40 (pow.f64 x 5) x) (fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 7) -5/112)))
✓41.6b
(log.f64 (+.f64 x (hypot.f64 1 x)))
✓49.0b
(log.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 -1/2 x) (/.f64 -1/16 (pow.f64 x 5)))))
Compiler

Compiled 3750 to 3036 computations (19% saved)

regimes94.0ms (2.3%)

Accuracy

Total 0.1b remaining (78.4%)

Threshold costs 0.1b (78.4%)

Counts
26 → 3
Compiler

Compiled 990 to 784 computations (20.8% saved)

bsearch38.0ms (0.9%)

Algorithm
2×binary-search
Calls

2 calls:

21.0ms
x
16.0ms
x
Steps
ItersPointRange
0.021
∈ [
0.0068660493993409856
, 
194.27552413979623
]
-1.06
∈ [
-2965.0156726028777
, 
-8.142722586544902e-17
]
Compiler

Compiled 2 to 1 computations (50% saved)

simplify2.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
03663
13963
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 x -2386907802506363/2251799813685248) (log.f64 (fma.f64 1/8 (pow.f64 x -3) (fma.f64 -1/16 (pow.f64 x -5) (/.f64 -1/2 x)))) (if (<=.f64 x 6052837899185947/288230376151711744) (fma.f64 (pow.f64 x 3) -1/6 (fma.f64 (pow.f64 x 7) -5/112 (fma.f64 3/40 (pow.f64 x 5) x))) (log.f64 (+.f64 x (hypot.f64 1 x)))))
Outputs
(if (<=.f64 x -2386907802506363/2251799813685248) (log.f64 (fma.f64 1/8 (pow.f64 x -3) (fma.f64 -1/16 (pow.f64 x -5) (/.f64 -1/2 x)))) (if (<=.f64 x 6052837899185947/288230376151711744) (fma.f64 (pow.f64 x 3) -1/6 (fma.f64 (pow.f64 x 7) -5/112 (fma.f64 3/40 (pow.f64 x 5) x))) (log.f64 (+.f64 x (hypot.f64 1 x)))))

end86.0ms (2.1%)

Stop Event
1×done
Compiler

Compiled 132 to 101 computations (23.5% saved)

Profiling

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