Details

Time bar (total: 4.1s)

analyze387.0ms (9.5%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
50%50%0%2
50%50%0%3
62.5%37.5%0%4
68.7%31.2%0%5
71.8%28.1%0%6
73.4%26.5%0%7
74.2%25.8%0%8
74.6%25.4%0%9
74.8%25.2%0%10
74.9%25.1%0%11
74.9%25%0%12
74.9%25%0%13
75%25%0%14
Compiler

Compiled 11 to 8 computations (27.3% saved)

sample3.2s (77.2%)

Results
1.5s2564×body1024valid
714.0ms1226×body2048valid
501.0ms1346×body512valid
275.0ms2476×body128valid
141.0ms598×body256valid
36.0ms46×body4096valid
Compiler

Compiled 22 to 16 computations (27.3% saved)

preprocess16.0ms (0.4%)

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

Useful iterations: 0 (0.0ms)

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

Compiled 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)))

prune3.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New112
Fresh101
Picked000
Done000
Total213
Error
45.4b
Counts
3 → 1
Alt Table
StatusErrorProgram
▶45.4b
(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
✓0.3b
(+.f64 x (hypot.f64 1 x))
✓3.6b
(log.f64 (+.f64 x (hypot.f64 1 x)))

series6.0ms (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))

rewrite39.0ms (1%)

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 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 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))))))))

simplify29.0ms (0.7%)

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)))

prune50.0ms (1.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New983101
Fresh000
Picked011
Done000
Total984102
Error
0b
Counts
102 → 4
Alt Table
StatusErrorProgram
47.2b
(+.f64 (log.f64 2) (log.f64 x))
▶29.7b
(fma.f64 (pow.f64 x 3) -1/6 x)
✓45.4b
(log.f64 (+.f64 x (hypot.f64 1 x)))
50.4b
(log.f64 (/.f64 -1/2 x))
Compiler

Compiled 1398 to 1060 computations (24.2% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.0b
(fma.f64 (pow.f64 x 3) -1/6 x)

series3.0ms (0.1%)

Counts
1 → 12
Calls

3 calls:

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

rewrite29.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
522×pow1_binary64
493×add-log-exp_binary64
493×log1p-expm1-u_binary64
493×expm1-log1p-u_binary64
483×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068
11308
213428
Stop Event
1×node limit
Counts
1 → 21
Calls
Call 1
Inputs
(fma.f64 (pow.f64 x 3) -1/6 x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (pow.f64 x 3) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 x 3) -1/6) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (pow.f64 x 3) -1/6) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 (pow.f64 x 3) -1/6 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 x 3) -1/6 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (pow.f64 x 3) -1/6 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (pow.f64 x 3) -1/6 x)) (cbrt.f64 (pow.f64 (fma.f64 (pow.f64 x 3) -1/6 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 (pow.f64 x 3) -1/6 x) 2)) (cbrt.f64 (fma.f64 (pow.f64 x 3) -1/6 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (pow.f64 x 3) -1/6 x)) (sqrt.f64 (fma.f64 (pow.f64 x 3) -1/6 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 x 3) -1/6) 3) (pow.f64 x 3)) (+.f64 (*.f64 (*.f64 (pow.f64 x 3) -1/6) (*.f64 (pow.f64 x 3) -1/6)) (-.f64 (*.f64 x x) (*.f64 (*.f64 (pow.f64 x 3) -1/6) x))))))) (#(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 x x)) (-.f64 (*.f64 (pow.f64 x 3) -1/6) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (pow.f64 x 3) -1/6 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (pow.f64 x 3) -1/6 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x 3) -1/6 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (pow.f64 x 3) -1/6 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (pow.f64 x 3) -1/6 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (pow.f64 x 3) -1/6 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (pow.f64 x 3) -1/6 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (pow.f64 x 3) -1/6 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (pow.f64 x 3) -1/6 x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (pow.f64 x 3) -1/6 x)))))))

simplify27.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
1047×fma-def_binary64
818×unswap-sqr_binary64
241×associate-*l*_binary64
194×fma-neg_binary64
174×associate-*r*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
09105
123105
26187
319487
442987
5119087
6237487
7326687
Stop Event
1×node limit
Counts
33 → 26
Calls
Call 1
Inputs
x
(-.f64 x (*.f64 1/6 (pow.f64 x 3)))
(-.f64 x (*.f64 1/6 (pow.f64 x 3)))
(-.f64 x (*.f64 1/6 (pow.f64 x 3)))
(*.f64 -1/6 (pow.f64 x 3))
(-.f64 x (*.f64 1/6 (pow.f64 x 3)))
(-.f64 x (*.f64 1/6 (pow.f64 x 3)))
(-.f64 x (*.f64 1/6 (pow.f64 x 3)))
(*.f64 -1/6 (pow.f64 x 3))
(-.f64 x (*.f64 1/6 (pow.f64 x 3)))
(-.f64 x (*.f64 1/6 (pow.f64 x 3)))
(-.f64 x (*.f64 1/6 (pow.f64 x 3)))
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 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 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 -1/6 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) -1/6)
(-.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 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 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 -1/6 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) -1/6)
(-.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 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 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)

prune12.0ms (0.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New26026
Fresh022
Picked011
Done011
Total26430
Error
0b
Counts
30 → 4
Alt Table
StatusErrorProgram
▶47.2b
(+.f64 (log.f64 2) (log.f64 x))
✓29.7b
(fma.f64 (pow.f64 x 3) -1/6 x)
✓45.4b
(log.f64 (+.f64 x (hypot.f64 1 x)))
50.4b
(log.f64 (/.f64 -1/2 x))
Compiler

Compiled 303 to 229 computations (24.4% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.1b
(+.f64 (log.f64 2) (log.f64 x))

series42.0ms (1%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
16.0ms
x
@0
(+.f64 (log.f64 2) (log.f64 x))
14.0ms
x
@inf
(+.f64 (log.f64 2) (log.f64 x))
12.0ms
x
@-inf
(+.f64 (log.f64 2) (log.f64 x))

rewrite38.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
629×pow1_binary64
588×add-log-exp_binary64
587×log1p-expm1-u_binary64
587×expm1-log1p-u_binary64
64×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
066
11276
216136
Stop Event
1×node limit
Counts
1 → 34
Calls
Call 1
Inputs
(+.f64 (log.f64 2) (log.f64 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log.f64 (*.f64 2 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (log.f64 2) 2) (log.f64 (/.f64 2 x))) (/.f64 (pow.f64 (log.f64 x) 2) (log.f64 (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (*.f64 2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (*.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (*.f64 2 x))) (pow.f64 (cbrt.f64 (log.f64 (*.f64 2 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 2 x))) 2) (cbrt.f64 (log.f64 (*.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (*.f64 2 x))) (sqrt.f64 (log.f64 (*.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2)) (/.f64 1 (log.f64 (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 2)))) (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (log.f64 (/.f64 2 x)) (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)) (+.f64 (pow.f64 (log.f64 x) 2) (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 2) (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2)) (log.f64 (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3))) (neg.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2))) (neg.f64 (log.f64 (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 2) 2)) (-.f64 (log.f64 x) (log.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (*.f64 2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (*.f64 2 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (*.f64 2 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (*.f64 2 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (*.f64 2 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (-.f64 (*.f64 2 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (*.f64 2 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (*.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log.f64 2) (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log.f64 x) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (cbrt.f64 (log.f64 x)) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (*.f64 2 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (*.f64 2 x))))))))

simplify57.0ms (1.4%)

Algorithm
1×egg-herbie
Rules
1420×fma-neg_binary64
658×fma-def_binary64
309×distribute-rgt-in_binary64
292×unsub-neg_binary64
272×distribute-neg-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01696
13096
25096
311596
433796
5108796
6202896
7358796
8397096
9411496
10414196
11414796
12414796
Stop Event
1×node limit
Counts
46 → 37
Calls
Call 1
Inputs
(+.f64 (log.f64 x) (log.f64 2))
(+.f64 (log.f64 x) (log.f64 2))
(+.f64 (log.f64 x) (log.f64 2))
(+.f64 (log.f64 x) (log.f64 2))
(-.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(-.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(-.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(-.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(-.f64 (+.f64 (log.f64 2) (log.f64 -1)) (log.f64 (/.f64 -1 x)))
(-.f64 (+.f64 (log.f64 2) (log.f64 -1)) (log.f64 (/.f64 -1 x)))
(-.f64 (+.f64 (log.f64 2) (log.f64 -1)) (log.f64 (/.f64 -1 x)))
(-.f64 (+.f64 (log.f64 2) (log.f64 -1)) (log.f64 (/.f64 -1 x)))
Outputs
(+.f64 (log.f64 x) (log.f64 2))
(+.f64 (log.f64 x) (log.f64 2))
(+.f64 (log.f64 x) (log.f64 2))
(+.f64 (log.f64 x) (log.f64 2))
(-.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 x) (log.f64 2))
(-.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 x) (log.f64 2))
(-.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 x) (log.f64 2))
(-.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 x) (log.f64 2))
(-.f64 (+.f64 (log.f64 2) (log.f64 -1)) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 x) (log.f64 2))
(-.f64 (+.f64 (log.f64 2) (log.f64 -1)) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 x) (log.f64 2))
(-.f64 (+.f64 (log.f64 2) (log.f64 -1)) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 x) (log.f64 2))
(-.f64 (+.f64 (log.f64 2) (log.f64 -1)) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 x) (log.f64 2))

prune15.0ms (0.4%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New37037
Fresh011
Picked011
Done022
Total37441
Error
0b
Counts
41 → 4
Alt Table
StatusErrorProgram
✓47.2b
(+.f64 (log.f64 2) (log.f64 x))
✓29.7b
(fma.f64 (pow.f64 x 3) -1/6 x)
✓45.4b
(log.f64 (+.f64 x (hypot.f64 1 x)))
▶50.4b
(log.f64 (/.f64 -1/2 x))
Compiler

Compiled 453 to 355 computations (21.6% saved)

localize3.0ms (0.1%)

prune3.0ms (0.1%)

Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New000
Fresh000
Picked011
Done033
Total044
Error
0b
Counts
4 → 4
Alt Table
StatusErrorProgram
✓47.2b
(+.f64 (log.f64 2) (log.f64 x))
✓29.7b
(fma.f64 (pow.f64 x 3) -1/6 x)
✓45.4b
(log.f64 (+.f64 x (hypot.f64 1 x)))
✓50.4b
(log.f64 (/.f64 -1/2 x))
Compiler

Compiled 25 to 19 computations (24% saved)

regimes47.0ms (1.2%)

Accuracy

Total 0.4b remaining (81.9%)

Threshold costs 0.4b (81.9%)

Counts
11 → 3
Compiler

Compiled 255 to 193 computations (24.3% saved)

bsearch42.0ms (1%)

Algorithm
2×binary-search
Calls

2 calls:

23.0ms
x
19.0ms
x
Steps
ItersPointRange
1.25
∈ [
1.6006687191544854e-6
, 
27685.554386136937
]
-1.26
∈ [
-1249823528914294.3
, 
-3.6323306624989977e-6
]
Compiler

Compiled 2 to 1 computations (50% saved)

simplify2.0ms (0%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
02034
12134
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 x -5674535530486825/4503599627370496) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 5/4) (fma.f64 (pow.f64 x 3) -1/6 x) (+.f64 (log.f64 2) (log.f64 x))))
Outputs
(if (<=.f64 x -5674535530486825/4503599627370496) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 5/4) (fma.f64 (pow.f64 x 3) -1/6 x) (+.f64 (log.f64 2) (log.f64 x))))

end65.0ms (1.6%)

Stop Event
1×done
Compiler

Compiled 73 to 55 computations (24.7% saved)

Profiling

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