Details

Time bar (total: 3.4s)

analyze473.0ms (13.8%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
0%87.4%12.6%5
0%74.9%25.1%6
3.1%71.8%25.1%7
7.8%60.8%31.4%8
11.7%50.7%37.6%9
17.6%44.9%37.6%10
22.8%36.5%40.7%11
26.6%29.5%43.8%12
31.1%25.1%43.8%13
34.6%20%45.4%14
Compiler

Compiled 12 to 8 computations (33.3% saved)

sample1.1s (33.3%)

Results
1.0s8256×body128valid
89.0ms823×body128invalid

preprocess62.0ms (1.8%)

Algorithm
egg-herbie
Rules
455×div-sub_binary64
369×fma-neg_binary64
308×fma-def_binary64
266×cancel-sign-sub-inv_binary64
260×times-frac_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02048
14248
26548
312348
435448
583648
6183948
7295948
8411848
9486448
033
Stop Event
saturated
node limit
Calls
Call 1
Inputs
0
1
2
Outputs
0
1
2
Call 2
Inputs
(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)
(-.f64 (*.f64 y (log.f64 (/.f64 y x))) z)
(-.f64 (*.f64 z (log.f64 (/.f64 z y))) x)
(-.f64 (*.f64 x (log.f64 (/.f64 x z))) y)
Outputs
(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)
(fma.f64 x (log.f64 (/.f64 x y)) (neg.f64 z))
(-.f64 (*.f64 y (log.f64 (/.f64 y x))) z)
(fma.f64 y (log.f64 (/.f64 y x)) (neg.f64 z))
(neg.f64 (fma.f64 y (log.f64 (/.f64 x y)) z))
(-.f64 (*.f64 z (log.f64 (/.f64 z y))) x)
(fma.f64 z (log.f64 (/.f64 z y)) (neg.f64 x))
(-.f64 (*.f64 x (log.f64 (/.f64 x z))) y)
(fma.f64 x (log.f64 (/.f64 x z)) (neg.f64 y))
(neg.f64 (fma.f64 x (log.f64 (/.f64 z x)) y))
Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify59.0ms (1.7%)

Algorithm
egg-herbie
Rules
1663×fma-def_binary64
528×fma-neg_binary64
288×distribute-rgt-in_binary64
230×unsub-neg_binary64
193×distribute-lft-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0812
11512
22312
33912
49812
523112
647412
789812
8125612
9213312
10363612
11401012
12413612
13417512
14418912
Stop Event
node limit
Counts
1 → 2
Calls
Call 1
Inputs
(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)
Outputs
(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)
(fma.f64 x (log.f64 (/.f64 x y)) (neg.f64 z))

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New112
Fresh011
Picked000
Done000
Total123
Error
14.9b
Counts
3 → 1
Alt Table
StatusErrorProgram
14.9b
(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)
Compiler

Compiled 41 to 23 computations (43.9% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)
0.3b
(*.f64 x (log.f64 (/.f64 x y)))
14.3b
(log.f64 (/.f64 x y))

series150.0ms (4.4%)

Counts
3 → 84
Calls

21 calls:

TimeVariablePointExpression
31.0ms
x
@0
(log.f64 (/.f64 x y))
25.0ms
x
@-inf
(log.f64 (/.f64 x y))
24.0ms
x
@0
(*.f64 x (log.f64 (/.f64 x y)))
19.0ms
y
@-inf
(log.f64 (/.f64 x y))
18.0ms
z
@0
(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)

rewrite59.0ms (1.7%)

Algorithm
batch-egg-rewrite
Rules
916×log1p-expm1-u_binary64
916×expm1-log1p-u_binary64
92×add-sqr-sqrt_binary64
91×*-un-lft-identity_binary64
91×pow1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0827
117427
2243327
Stop Event
node limit
Counts
3 → 79
Calls
Call 1
Inputs
(log.f64 (/.f64 x y))
(*.f64 x (log.f64 (/.f64 x y)))
(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 x) (log.f64 (pow.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 x) (neg.f64 (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (/.f64 x y))) (log.f64 (sqrt.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) (log.f64 (cbrt.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 x) (log.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log.f64 (/.f64 x y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (log.f64 (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (/.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (/.f64 x y))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 x y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x y))) 2) (cbrt.f64 (log.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (/.f64 x y))) (sqrt.f64 (log.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 y) 3)) (+.f64 (*.f64 (log.f64 x) (log.f64 x)) (+.f64 (*.f64 (log.f64 y) (log.f64 y)) (*.f64 (log.f64 x) (log.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (log.f64 x) (log.f64 x)) (*.f64 (log.f64 y) (log.f64 y))) (+.f64 (log.f64 x) (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (/.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (/.f64 x y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (/.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (/.f64 x y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (log.f64 (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (/.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (/.f64 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (/.f64 x y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (log.f64 (/.f64 x y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (/.f64 x y))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (log.f64 (/.f64 x y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (log.f64 (/.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (log.f64 (/.f64 x y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (log.f64 (/.f64 x y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (log.f64 (/.f64 x y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (log.f64 (/.f64 x y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (/.f64 x y) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 x y) x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (log.f64 (/.f64 x y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (pow.f64 (/.f64 x y) x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (log.f64 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (log.f64 (/.f64 x y)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (log.f64 (/.f64 x y)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (log.f64 (/.f64 x y))) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (log.f64 (/.f64 x y))) (*.f64 (neg.f64 z) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) (fma.f64 (neg.f64 z) 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) (fma.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 z) (*.f64 x (log.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)) (pow.f64 (cbrt.f64 (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)) 2) (cbrt.f64 (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)) (sqrt.f64 (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 x (log.f64 (/.f64 x y))) 3) (pow.f64 z 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 x (log.f64 (/.f64 x y))) 2) (*.f64 z (fma.f64 x (log.f64 (/.f64 x y)) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 x (log.f64 (/.f64 x y))) 2) (*.f64 z z)) (/.f64 1 (fma.f64 x (log.f64 (/.f64 x y)) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (*.f64 x (log.f64 (/.f64 x y)))) (sqrt.f64 z)) (-.f64 (sqrt.f64 (*.f64 x (log.f64 (/.f64 x y)))) (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 x (log.f64 (/.f64 x y))) 2) (*.f64 z (fma.f64 x (log.f64 (/.f64 x y)) z))) (-.f64 (pow.f64 (*.f64 x (log.f64 (/.f64 x y))) 3) (pow.f64 z 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x (log.f64 (/.f64 x y)) z) (-.f64 (pow.f64 (*.f64 x (log.f64 (/.f64 x y))) 2) (*.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 x (log.f64 (/.f64 x y))) 3) (pow.f64 z 3)) (+.f64 (pow.f64 (*.f64 x (log.f64 (/.f64 x y))) 2) (*.f64 z (fma.f64 x (log.f64 (/.f64 x y)) z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 x (log.f64 (/.f64 x y))) 2) (*.f64 z z)) (fma.f64 x (log.f64 (/.f64 x y)) z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (log.f64 (/.f64 x y))) 3) (pow.f64 z 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 x (log.f64 (/.f64 x y))) 2) (*.f64 z (fma.f64 x (log.f64 (/.f64 x y)) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (log.f64 (/.f64 x y))) 2) (*.f64 z z))) (neg.f64 (fma.f64 x (log.f64 (/.f64 x y)) z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x (log.f64 (/.f64 x y))) 3) (pow.f64 (neg.f64 z) 3)) (+.f64 (pow.f64 (*.f64 x (log.f64 (/.f64 x y))) 2) (-.f64 (*.f64 (neg.f64 z) (neg.f64 z)) (*.f64 (*.f64 x (log.f64 (/.f64 x y))) (neg.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 x (log.f64 (/.f64 x y))) 2) (*.f64 (neg.f64 z) (neg.f64 z))) (-.f64 (*.f64 x (log.f64 (/.f64 x y))) (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (pow.f64 (/.f64 x y) x) (exp.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (log.f64 (/.f64 x y)) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x (log.f64 (/.f64 x y))) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 (/.f64 x y)))) 2) (cbrt.f64 (*.f64 x (log.f64 (/.f64 x y)))) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x (log.f64 (/.f64 x y)))) (sqrt.f64 (*.f64 x (log.f64 (/.f64 x y)))) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)))))))

simplify78.0ms (2.3%)

Algorithm
egg-herbie
Rules
650×fma-neg_binary64
616×fma-def_binary64
480×unsub-neg_binary64
319×distribute-rgt-in_binary64
274×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
044999
196756
2176756
3493756
41354756
53005756
64900756
Stop Event
node limit
Counts
163 → 102
Calls
Call 1
Inputs
(+.f64 (log.f64 (/.f64 1 y)) (log.f64 x))
(+.f64 (log.f64 (/.f64 1 y)) (log.f64 x))
(+.f64 (log.f64 (/.f64 1 y)) (log.f64 x))
(+.f64 (log.f64 (/.f64 1 y)) (log.f64 x))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 1 y)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 1 y)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 1 y)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 1 y)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (/.f64 -1 y)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (/.f64 -1 y)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (/.f64 -1 y)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (/.f64 -1 y)))
(+.f64 (*.f64 -1 (log.f64 y)) (log.f64 x))
(+.f64 (*.f64 -1 (log.f64 y)) (log.f64 x))
(+.f64 (*.f64 -1 (log.f64 y)) (log.f64 x))
(+.f64 (*.f64 -1 (log.f64 y)) (log.f64 x))
(+.f64 (log.f64 (/.f64 1 y)) (log.f64 x))
(+.f64 (log.f64 (/.f64 1 y)) (log.f64 x))
(+.f64 (log.f64 (/.f64 1 y)) (log.f64 x))
(+.f64 (log.f64 (/.f64 1 y)) (log.f64 x))
(+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (*.f64 -1 x)))
(+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (*.f64 -1 x)))
(+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (*.f64 -1 x)))
(+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (*.f64 -1 x)))
(*.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) x)
(*.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) x)
(*.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) x)
(*.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) x)
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 1 y))) x)
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 1 y))) x)
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 1 y))) x)
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 1 y))) x)
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (/.f64 -1 y))) x)
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (/.f64 -1 y))) x)
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (/.f64 -1 y))) x)
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (/.f64 -1 y))) x)
(*.f64 (+.f64 (log.f64 x) (*.f64 -1 (log.f64 y))) x)
(*.f64 (+.f64 (log.f64 x) (*.f64 -1 (log.f64 y))) x)
(*.f64 (+.f64 (log.f64 x) (*.f64 -1 (log.f64 y))) x)
(*.f64 (+.f64 (log.f64 x) (*.f64 -1 (log.f64 y))) x)
(*.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) x)
(*.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) x)
(*.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) x)
(*.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) x)
(*.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (*.f64 -1 x))) x)
(*.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (*.f64 -1 x))) x)
(*.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (*.f64 -1 x))) x)
(*.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (*.f64 -1 x))) x)
(*.f64 -1 z)
(+.f64 (*.f64 -1 z) (*.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) x))
(+.f64 (*.f64 -1 z) (*.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) x))
(+.f64 (*.f64 -1 z) (*.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) x))
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 1 y))) x)
(+.f64 (*.f64 -1 z) (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 1 y))) x))
(+.f64 (*.f64 -1 z) (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 1 y))) x))
(+.f64 (*.f64 -1 z) (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 1 y))) x))
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (/.f64 -1 y))) x)
(+.f64 (*.f64 -1 z) (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (/.f64 -1 y))) x))
(+.f64 (*.f64 -1 z) (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (/.f64 -1 y))) x))
(+.f64 (*.f64 -1 z) (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (/.f64 -1 y))) x))
(-.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 y)) (log.f64 x)) x) z)
(-.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 y)) (log.f64 x)) x) z)
(-.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 y)) (log.f64 x)) x) z)
(-.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 y)) (log.f64 x)) x) z)
(-.f64 (*.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) x) z)
(-.f64 (*.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) x) z)
(-.f64 (*.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) x) z)
(-.f64 (*.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) x) z)
(-.f64 (*.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (*.f64 -1 x))) x) z)
(-.f64 (*.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (*.f64 -1 x))) x) z)
(-.f64 (*.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (*.f64 -1 x))) x) z)
(-.f64 (*.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (*.f64 -1 x))) x) z)
(*.f64 (log.f64 (/.f64 x y)) x)
(+.f64 (*.f64 -1 z) (*.f64 (log.f64 (/.f64 x y)) x))
(+.f64 (*.f64 -1 z) (*.f64 (log.f64 (/.f64 x y)) x))
(+.f64 (*.f64 -1 z) (*.f64 (log.f64 (/.f64 x y)) x))
(*.f64 -1 z)
(+.f64 (*.f64 -1 z) (*.f64 (log.f64 (/.f64 x y)) x))
(+.f64 (*.f64 -1 z) (*.f64 (log.f64 (/.f64 x y)) x))
(+.f64 (*.f64 -1 z) (*.f64 (log.f64 (/.f64 x y)) x))
(*.f64 -1 z)
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(+.f64 (*.f64 -1 z) (*.f64 (log.f64 (/.f64 x y)) x))
Outputs
(+.f64 (log.f64 (/.f64 1 y)) (log.f64 x))
(fma.f64 -1 (log.f64 y) (log.f64 x))
(log.f64 (/.f64 x y))
(+.f64 (log.f64 (/.f64 1 y)) (log.f64 x))
(fma.f64 -1 (log.f64 y) (log.f64 x))
(log.f64 (/.f64 x y))
(+.f64 (log.f64 (/.f64 1 y)) (log.f64 x))
(fma.f64 -1 (log.f64 y) (log.f64 x))
(log.f64 (/.f64 x y))
(+.f64 (log.f64 (/.f64 1 y)) (log.f64 x))
(fma.f64 -1 (log.f64 y) (log.f64 x))
(log.f64 (/.f64 x y))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 1 y)))
(fma.f64 -1 (log.f64 y) (log.f64 x))
(log.f64 (/.f64 x y))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 1 y)))
(fma.f64 -1 (log.f64 y) (log.f64 x))
(log.f64 (/.f64 x y))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 1 y)))
(fma.f64 -1 (log.f64 y) (log.f64 x))
(log.f64 (/.f64 x y))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 1 y)))
(fma.f64 -1 (log.f64 y) (log.f64 x))
(log.f64 (/.f64 x y))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (/.f64 -1 y)))
(fma.f64 -1 (log.f64 y) (log.f64 x))
(log.f64 (/.f64 x y))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (/.f64 -1 y)))
(fma.f64 -1 (log.f64 y) (log.f64 x))
(log.f64 (/.f64 x y))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (/.f64 -1 y)))
(fma.f64 -1 (log.f64 y) (log.f64 x))
(log.f64 (/.f64 x y))
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(fma.f64 -1 (log.f64 y) (log.f64 x))
(log.f64 (/.f64 x y))
(+.f64 (*.f64 -1 (log.f64 y)) (log.f64 x))
(fma.f64 -1 (log.f64 y) (log.f64 x))
(log.f64 (/.f64 x y))
(+.f64 (*.f64 -1 (log.f64 y)) (log.f64 x))
(fma.f64 -1 (log.f64 y) (log.f64 x))
(log.f64 (/.f64 x y))
(+.f64 (*.f64 -1 (log.f64 y)) (log.f64 x))
(fma.f64 -1 (log.f64 y) (log.f64 x))
(log.f64 (/.f64 x y))
(+.f64 (*.f64 -1 (log.f64 y)) (log.f64 x))
(fma.f64 -1 (log.f64 y) (log.f64 x))
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(fma.f64 -1 (log.f64 y) (log.f64 x))
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(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)
(-.f64 (*.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (*.f64 -1 x))) x) z)
(fma.f64 (fma.f64 -1 (log.f64 y) (log.f64 x)) x (neg.f64 z))
(fma.f64 x (log.f64 (/.f64 x y)) (neg.f64 z))
(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)
(*.f64 (log.f64 (/.f64 x y)) x)
(*.f64 x (fma.f64 -1 (log.f64 y) (log.f64 x)))
(*.f64 x (log.f64 (/.f64 x y)))
(+.f64 (*.f64 -1 z) (*.f64 (log.f64 (/.f64 x y)) x))
(fma.f64 (fma.f64 -1 (log.f64 y) (log.f64 x)) x (neg.f64 z))
(fma.f64 x (log.f64 (/.f64 x y)) (neg.f64 z))
(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)
(+.f64 (*.f64 -1 z) (*.f64 (log.f64 (/.f64 x y)) x))
(fma.f64 (fma.f64 -1 (log.f64 y) (log.f64 x)) x (neg.f64 z))
(fma.f64 x (log.f64 (/.f64 x y)) (neg.f64 z))
(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)
(+.f64 (*.f64 -1 z) (*.f64 (log.f64 (/.f64 x y)) x))
(fma.f64 (fma.f64 -1 (log.f64 y) (log.f64 x)) x (neg.f64 z))
(fma.f64 x (log.f64 (/.f64 x y)) (neg.f64 z))
(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)
(*.f64 -1 z)
(neg.f64 z)
(+.f64 (*.f64 -1 z) (*.f64 (log.f64 (/.f64 x y)) x))
(fma.f64 (fma.f64 -1 (log.f64 y) (log.f64 x)) x (neg.f64 z))
(fma.f64 x (log.f64 (/.f64 x y)) (neg.f64 z))
(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)
(+.f64 (*.f64 -1 z) (*.f64 (log.f64 (/.f64 x y)) x))
(fma.f64 (fma.f64 -1 (log.f64 y) (log.f64 x)) x (neg.f64 z))
(fma.f64 x (log.f64 (/.f64 x y)) (neg.f64 z))
(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)
(+.f64 (*.f64 -1 z) (*.f64 (log.f64 (/.f64 x y)) x))
(fma.f64 (fma.f64 -1 (log.f64 y) (log.f64 x)) x (neg.f64 z))
(fma.f64 x (log.f64 (/.f64 x y)) (neg.f64 z))
(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)
(*.f64 -1 z)
(neg.f64 z)
(+.f64 (*.f64 -1 z) (*.f64 (log.f64 (/.f64 x y)) x))
(fma.f64 (fma.f64 -1 (log.f64 y) (log.f64 x)) x (neg.f64 z))
(fma.f64 x (log.f64 (/.f64 x y)) (neg.f64 z))
(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)
(+.f64 (*.f64 -1 z) (*.f64 (log.f64 (/.f64 x y)) x))
(fma.f64 (fma.f64 -1 (log.f64 y) (log.f64 x)) x (neg.f64 z))
(fma.f64 x (log.f64 (/.f64 x y)) (neg.f64 z))
(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)
(+.f64 (*.f64 -1 z) (*.f64 (log.f64 (/.f64 x y)) x))
(fma.f64 (fma.f64 -1 (log.f64 y) (log.f64 x)) x (neg.f64 z))
(fma.f64 x (log.f64 (/.f64 x y)) (neg.f64 z))
(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)

prune95.0ms (2.8%)

Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New9111102
Fresh000
Picked011
Done000
Total9112103
Error
0.1b
Counts
103 → 12
Alt Table
StatusErrorProgram
33.2b
(-.f64 (cbrt.f64 (pow.f64 (*.f64 x (log.f64 (/.f64 x y))) 3)) z)
14.9b
(-.f64 (*.f64 x (+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) (log.f64 (cbrt.f64 (/.f64 x y))))) z)
34.7b
(-.f64 (*.f64 x (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x))) z)
39.0b
(-.f64 (*.f64 x (-.f64 (exp.f64 (log1p.f64 (log.f64 (/.f64 x y)))) 1)) z)
46.4b
(-.f64 (log.f64 (pow.f64 (/.f64 x y) x)) z)
37.9b
(-.f64 (pow.f64 (sqrt.f64 (*.f64 x (log.f64 (/.f64 x y)))) 2) z)
15.3b
(-.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 (/.f64 x y)))) 3) z)
15.0b
(-.f64 (*.f64 x (cbrt.f64 (pow.f64 (log.f64 (/.f64 x y)) 3))) z)
14.9b
(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)
29.7b
(-.f64 (*.f64 x (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (*.f64 -1 x)))) z)
34.7b
(-.f64 (*.f64 x (/.f64 (-.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 y) 3)) (+.f64 (*.f64 (log.f64 x) (log.f64 x)) (+.f64 (*.f64 (log.f64 y) (log.f64 y)) (*.f64 (log.f64 x) (log.f64 y)))))) z)
38.9b
(-.f64 (*.f64 x (*.f64 (sqrt.f64 (log.f64 (/.f64 x y))) (sqrt.f64 (log.f64 (/.f64 x y))))) z)
Compiler

Compiled 1770 to 745 computations (57.9% saved)

localize14.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.3b
(*.f64 x (+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) (log.f64 (cbrt.f64 (/.f64 x y)))))
0.5b
(pow.f64 (cbrt.f64 (/.f64 x y)) 2)
2.6b
(log.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2))
14.6b
(cbrt.f64 (/.f64 x y))

series25.0ms (0.7%)

Counts
4 → 0
Calls

24 calls:

TimeVariablePointExpression
4.0ms
x
@-inf
(*.f64 x (+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) (log.f64 (cbrt.f64 (/.f64 x y)))))
2.0ms
x
@0
(*.f64 x (+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) (log.f64 (cbrt.f64 (/.f64 x y)))))
2.0ms
x
@-inf
(log.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2))
1.0ms
x
@0
(log.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2))
1.0ms
y
@-inf
(*.f64 x (+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) (log.f64 (cbrt.f64 (/.f64 x y)))))

rewrite63.0ms (1.9%)

Algorithm
batch-egg-rewrite
Rules
959×prod-diff_binary64
117×add-sqr-sqrt_binary64
114×pow1_binary64
113×*-un-lft-identity_binary64
112×add-log-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01135
124035
2320135
Stop Event
node limit
Counts
4 → 104
Calls
Call 1
Inputs
(cbrt.f64 (/.f64 x y))
(log.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2))
(pow.f64 (cbrt.f64 (/.f64 x y)) 2)
(*.f64 x (+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) (log.f64 (cbrt.f64 (/.f64 x y)))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (/.f64 x y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (/.f64 x y))) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 x y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (cbrt.f64 (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (pow.f64 (/.f64 1 y) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (/.f64 1 (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 x y))) 2) (cbrt.f64 (cbrt.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 x y) 1/6) (pow.f64 (/.f64 x y) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 x y))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 x y)) 1/3) (pow.f64 (sqrt.f64 (/.f64 x y)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (cbrt.f64 (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (cbrt.f64 y) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 x) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (cbrt.f64 x)) (neg.f64 (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x y) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x y) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (cbrt.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (cbrt.f64 (/.f64 x y))))) (sqrt.f64 (log.f64 (cbrt.f64 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (/.f64 x y)))) 2)) (cbrt.f64 (log.f64 (cbrt.f64 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 x y)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (/.f64 x y))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (/.f64 x y))) (log.f64 (cbrt.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 2 (log.f64 (cbrt.f64 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 4))) (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 x y))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 2 (log.f64 (cbrt.f64 (/.f64 x y)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (log.f64 (cbrt.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (log.f64 (cbrt.f64 (/.f64 x y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (cbrt.f64 (/.f64 x y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 2 (log.f64 (cbrt.f64 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 2 (log.f64 (cbrt.f64 (/.f64 x y))))) (pow.f64 (cbrt.f64 (*.f64 2 (log.f64 (cbrt.f64 (/.f64 x y))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 2 (log.f64 (cbrt.f64 (/.f64 x y))))) 2) (cbrt.f64 (*.f64 2 (log.f64 (cbrt.f64 (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (/.f64 x y)))) 2) (*.f64 (cbrt.f64 (log.f64 (cbrt.f64 (/.f64 x y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 2 (log.f64 (cbrt.f64 (/.f64 x y))))) (sqrt.f64 (*.f64 2 (log.f64 (cbrt.f64 (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (cbrt.f64 (/.f64 x y)))) (*.f64 (sqrt.f64 (log.f64 (cbrt.f64 (/.f64 x y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (/.f64 x y)))) 2)) (cbrt.f64 (log.f64 (cbrt.f64 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (sqrt.f64 (log.f64 (cbrt.f64 (/.f64 x y))))) (sqrt.f64 (log.f64 (cbrt.f64 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2 (log.f64 (cbrt.f64 (/.f64 x y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 2 (log.f64 (cbrt.f64 (/.f64 x y))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 2 (log.f64 (cbrt.f64 (/.f64 x y))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 8 (pow.f64 (log.f64 (cbrt.f64 (/.f64 x y))) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 4 (pow.f64 (log.f64 (cbrt.f64 (/.f64 x y))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 8 (pow.f64 (log.f64 (cbrt.f64 (/.f64 x y))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 2 (log.f64 (cbrt.f64 (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 2 (log.f64 (cbrt.f64 (/.f64 x y))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 2 (log.f64 (cbrt.f64 (/.f64 x y))))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x y)) (cbrt.f64 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (cbrt.f64 (/.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 x y))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 x y))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (/.f64 x y))) (cbrt.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 x y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 x y) 1/6) (*.f64 (pow.f64 (/.f64 x y) 1/6) (cbrt.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x y)) (pow.f64 (/.f64 x y) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (/.f64 x y)) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 x y))) 2)) (cbrt.f64 (cbrt.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 (/.f64 x y))) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (/.f64 x y)) (cbrt.f64 x)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (cbrt.f64 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (log.f64 (cbrt.f64 (/.f64 x y)))) (*.f64 (*.f64 x 2) (log.f64 (cbrt.f64 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x 2) (log.f64 (cbrt.f64 (/.f64 x y)))) (*.f64 x (log.f64 (cbrt.f64 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (*.f64 x 2) (log.f64 (cbrt.f64 (/.f64 x y)))) 1) (*.f64 (*.f64 x (log.f64 (cbrt.f64 (/.f64 x y)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (log.f64 (/.f64 x y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x 2) (log.f64 (cbrt.f64 (/.f64 x y)))) 3) (pow.f64 (*.f64 x (log.f64 (cbrt.f64 (/.f64 x y)))) 3)) (+.f64 (*.f64 (*.f64 (*.f64 x 2) (log.f64 (cbrt.f64 (/.f64 x y)))) (*.f64 (*.f64 x 2) (log.f64 (cbrt.f64 (/.f64 x y))))) (-.f64 (*.f64 (*.f64 x (log.f64 (cbrt.f64 (/.f64 x y)))) (*.f64 x (log.f64 (cbrt.f64 (/.f64 x y))))) (*.f64 (*.f64 (*.f64 x 2) (log.f64 (cbrt.f64 (/.f64 x y)))) (*.f64 x (log.f64 (cbrt.f64 (/.f64 x y))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 (*.f64 x 2) (log.f64 (cbrt.f64 (/.f64 x y)))) (*.f64 (*.f64 x 2) (log.f64 (cbrt.f64 (/.f64 x y))))) (*.f64 (*.f64 x (log.f64 (cbrt.f64 (/.f64 x y)))) (*.f64 x (log.f64 (cbrt.f64 (/.f64 x y)))))) (-.f64 (*.f64 (*.f64 x 2) (log.f64 (cbrt.f64 (/.f64 x y)))) (*.f64 x (log.f64 (cbrt.f64 (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 8 (pow.f64 (log.f64 (cbrt.f64 (/.f64 x y))) 3)) (pow.f64 (log.f64 (cbrt.f64 (/.f64 x y))) 3)) x) (-.f64 (+.f64 (*.f64 4 (pow.f64 (log.f64 (cbrt.f64 (/.f64 x y))) 2)) (pow.f64 (log.f64 (cbrt.f64 (/.f64 x y))) 2)) (*.f64 2 (pow.f64 (log.f64 (cbrt.f64 (/.f64 x y))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (log.f64 (/.f64 x y)) (log.f64 (cbrt.f64 (/.f64 x y)))) x) (log.f64 (cbrt.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 (*.f64 8 (pow.f64 (log.f64 (cbrt.f64 (/.f64 x y))) 3)) (pow.f64 (log.f64 (cbrt.f64 (/.f64 x y))) 3))) (-.f64 (+.f64 (*.f64 4 (pow.f64 (log.f64 (cbrt.f64 (/.f64 x y))) 2)) (pow.f64 (log.f64 (cbrt.f64 (/.f64 x y))) 2)) (*.f64 2 (pow.f64 (log.f64 (cbrt.f64 (/.f64 x y))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (*.f64 (log.f64 (/.f64 x y)) (log.f64 (cbrt.f64 (/.f64 x y))))) (log.f64 (cbrt.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (log.f64 (/.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (log.f64 (/.f64 x y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (log.f64 (/.f64 x y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (log.f64 (/.f64 x y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (log.f64 (/.f64 x y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (/.f64 x y) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 x y) x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (log.f64 (/.f64 x y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (log.f64 (/.f64 x y)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (log.f64 (/.f64 x y)) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (pow.f64 (/.f64 x y) x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 2 (log.f64 (cbrt.f64 (/.f64 x y)))) (*.f64 x (log.f64 (cbrt.f64 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2 (log.f64 (cbrt.f64 (/.f64 x y)))) x (*.f64 x (log.f64 (cbrt.f64 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (log.f64 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (log.f64 (/.f64 x y)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (log.f64 (/.f64 x y)))))))))

simplify8.0ms (0.2%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
Stop Event
saturated
Counts
104 → 104
Calls
Call 1
Inputs
Outputs

prune169.0ms (4.9%)

Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New1352137
Fresh2810
Picked101
Done011
Total13811149
Error
0.0b
Counts
149 → 11
Alt Table
StatusErrorProgram
14.9b
(-.f64 (+.f64 (*.f64 x (log.f64 (cbrt.f64 (/.f64 x y)))) (*.f64 (*.f64 x 2) (log.f64 (cbrt.f64 (/.f64 x y))))) z)
34.7b
(-.f64 (*.f64 x (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x))) z)
39.0b
(-.f64 (*.f64 x (-.f64 (exp.f64 (log1p.f64 (log.f64 (/.f64 x y)))) 1)) z)
14.8b
(-.f64 (fma.f64 x (*.f64 2 (log.f64 (cbrt.f64 (/.f64 x y)))) (*.f64 x (log.f64 (cbrt.f64 (/.f64 x y))))) z)
33.2b
(-.f64 (cbrt.f64 (pow.f64 (*.f64 x (log.f64 (/.f64 x y))) 3)) z)
46.4b
(-.f64 (log.f64 (pow.f64 (/.f64 x y) x)) z)
37.9b
(-.f64 (pow.f64 (sqrt.f64 (*.f64 x (log.f64 (/.f64 x y)))) 2) z)
14.9b
(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)
29.7b
(-.f64 (*.f64 x (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (*.f64 -1 x)))) z)
34.7b
(-.f64 (*.f64 x (/.f64 (-.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 y) 3)) (+.f64 (*.f64 (log.f64 x) (log.f64 x)) (+.f64 (*.f64 (log.f64 y) (log.f64 y)) (*.f64 (log.f64 x) (log.f64 y)))))) z)
38.9b
(-.f64 (*.f64 x (*.f64 (sqrt.f64 (log.f64 (/.f64 x y))) (sqrt.f64 (log.f64 (/.f64 x y))))) z)
Compiler

Compiled 3283 to 1391 computations (57.6% saved)

localize34.0ms (1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(log.f64 (cbrt.f64 (/.f64 x y)))
0.2b
(fma.f64 x (*.f64 2 (log.f64 (cbrt.f64 (/.f64 x y)))) (*.f64 x (log.f64 (cbrt.f64 (/.f64 x y)))))
0.2b
(*.f64 x (log.f64 (cbrt.f64 (/.f64 x y))))
14.6b
(cbrt.f64 (/.f64 x y))

series12.0ms (0.3%)

Counts
3 → 0
Calls

18 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(fma.f64 x (*.f64 2 (log.f64 (cbrt.f64 (/.f64 x y)))) (*.f64 x (log.f64 (cbrt.f64 (/.f64 x y)))))
1.0ms
x
@0
(fma.f64 x (*.f64 2 (log.f64 (cbrt.f64 (/.f64 x y)))) (*.f64 x (log.f64 (cbrt.f64 (/.f64 x y)))))
1.0ms
y
@inf
(fma.f64 x (*.f64 2 (log.f64 (cbrt.f64 (/.f64 x y)))) (*.f64 x (log.f64 (cbrt.f64 (/.f64 x y)))))
1.0ms
y
@-inf
(fma.f64 x (*.f64 2 (log.f64 (cbrt.f64 (/.f64 x y)))) (*.f64 x (log.f64 (cbrt.f64 (/.f64 x y)))))
1.0ms
y
@0
(fma.f64 x (*.f64 2 (log.f64 (cbrt.f64 (/.f64 x y)))) (*.f64 x (log.f64 (cbrt.f64 (/.f64 x y)))))

rewrite53.0ms (1.5%)

Algorithm
batch-egg-rewrite
Rules
910×log1p-expm1-u_binary64
910×expm1-log1p-u_binary64
100×add-sqr-sqrt_binary64
97×*-un-lft-identity_binary64
97×pow1_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01044
120228
2247628
Stop Event
node limit
Counts
3 → 60
Calls
Call 1
Inputs
(*.f64 x (log.f64 (cbrt.f64 (/.f64 x y))))
(fma.f64 x (*.f64 2 (log.f64 (cbrt.f64 (/.f64 x y)))) (*.f64 x (log.f64 (cbrt.f64 (/.f64 x y)))))
(log.f64 (cbrt.f64 (/.f64 x y)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (-.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (log.f64 (cbrt.f64 (/.f64 x y))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (log.f64 (cbrt.f64 (/.f64 x y))) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) x))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) x)) (*.f64 x (log.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (log.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2))) (log.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (log.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2))) 1) (log.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (log.f64 (/.f64 x y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (log.f64 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (log.f64 (/.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (log.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (log.f64 (/.f64 x y)))) (pow.f64 (cbrt.f64 (*.f64 x (log.f64 (/.f64 x y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 (/.f64 x y)))) 2) (cbrt.f64 (*.f64 x (log.f64 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (log.f64 (/.f64 x y)))) (sqrt.f64 (*.f64 x (log.f64 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x (log.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2))) 3) (pow.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) x)) 3)) (+.f64 (*.f64 (*.f64 x (log.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2))) (*.f64 x (log.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2)))) (-.f64 (pow.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) x)) 2) (*.f64 (*.f64 x (log.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2))) (log.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x (log.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2))) (*.f64 x (log.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2)))) (pow.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) x)) 2)) (-.f64 (*.f64 x (log.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2))) (log.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (log.f64 (/.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (log.f64 (/.f64 x y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (log.f64 (/.f64 x y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (log.f64 (/.f64 x y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (log.f64 (/.f64 x y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (log.f64 (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (log.f64 (/.f64 x y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (log.f64 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (log.f64 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (log.f64 (/.f64 x y)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (log.f64 (/.f64 x y)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (cbrt.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2))) (log.f64 (cbrt.f64 (cbrt.f64 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (/.f64 x y) 1/6)) (log.f64 (pow.f64 (/.f64 x y) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log.f64 (cbrt.f64 (/.f64 x y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (cbrt.f64 x)) (log.f64 (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (cbrt.f64 (/.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (cbrt.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (cbrt.f64 (/.f64 x y)))) (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (/.f64 x y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (/.f64 x y)))) 2) (cbrt.f64 (log.f64 (cbrt.f64 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (cbrt.f64 (/.f64 x y)))) (sqrt.f64 (log.f64 (cbrt.f64 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (log.f64 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (cbrt.f64 (/.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (cbrt.f64 (/.f64 x y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (/.f64 x y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (cbrt.f64 (/.f64 x y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (cbrt.f64 (/.f64 x y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (cbrt.f64 (/.f64 x y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (cbrt.f64 (/.f64 x y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (cbrt.f64 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (log.f64 (cbrt.f64 (/.f64 x y)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (cbrt.f64 (/.f64 x y)))))))))

simplify8.0ms (0.2%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
Stop Event
saturated
Counts
60 → 60
Calls
Call 1
Inputs
Outputs

prune161.0ms (4.7%)

Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New1470147
Fresh099
Picked011
Done011
Total14711158
Error
0.0b
Counts
158 → 11
Alt Table
StatusErrorProgram
14.9b
(-.f64 (+.f64 (*.f64 x (log.f64 (cbrt.f64 (/.f64 x y)))) (*.f64 (*.f64 x 2) (log.f64 (cbrt.f64 (/.f64 x y))))) z)
34.7b
(-.f64 (*.f64 x (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x))) z)
39.0b
(-.f64 (*.f64 x (-.f64 (exp.f64 (log1p.f64 (log.f64 (/.f64 x y)))) 1)) z)
14.8b
(-.f64 (fma.f64 x (*.f64 2 (log.f64 (cbrt.f64 (/.f64 x y)))) (*.f64 x (log.f64 (cbrt.f64 (/.f64 x y))))) z)
33.2b
(-.f64 (cbrt.f64 (pow.f64 (*.f64 x (log.f64 (/.f64 x y))) 3)) z)
46.4b
(-.f64 (log.f64 (pow.f64 (/.f64 x y) x)) z)
37.9b
(-.f64 (pow.f64 (sqrt.f64 (*.f64 x (log.f64 (/.f64 x y)))) 2) z)
14.9b
(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)
29.7b
(-.f64 (*.f64 x (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (*.f64 -1 x)))) z)
34.7b
(-.f64 (*.f64 x (/.f64 (-.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 y) 3)) (+.f64 (*.f64 (log.f64 x) (log.f64 x)) (+.f64 (*.f64 (log.f64 y) (log.f64 y)) (*.f64 (log.f64 x) (log.f64 y)))))) z)
38.9b
(-.f64 (*.f64 x (*.f64 (sqrt.f64 (log.f64 (/.f64 x y))) (sqrt.f64 (log.f64 (/.f64 x y))))) z)
Compiler

Compiled 3467 to 1310 computations (62.2% saved)

localize22.0ms (0.6%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(*.f64 (*.f64 x 2) (log.f64 (cbrt.f64 (/.f64 x y))))
0.2b
(*.f64 x (log.f64 (cbrt.f64 (/.f64 x y))))
0.3b
(+.f64 (*.f64 x (log.f64 (cbrt.f64 (/.f64 x y)))) (*.f64 (*.f64 x 2) (log.f64 (cbrt.f64 (/.f64 x y)))))
14.6b
(cbrt.f64 (/.f64 x y))

series7.0ms (0.2%)

Counts
2 → 0
Calls

12 calls:

TimeVariablePointExpression
1.0ms
x
@0
(+.f64 (*.f64 x (log.f64 (cbrt.f64 (/.f64 x y)))) (*.f64 (*.f64 x 2) (log.f64 (cbrt.f64 (/.f64 x y)))))
1.0ms
y
@-inf
(+.f64 (*.f64 x (log.f64 (cbrt.f64 (/.f64 x y)))) (*.f64 (*.f64 x 2) (log.f64 (cbrt.f64 (/.f64 x y)))))
1.0ms
y
@inf
(+.f64 (*.f64 x (log.f64 (cbrt.f64 (/.f64 x y)))) (*.f64 (*.f64 x 2) (log.f64 (cbrt.f64 (/.f64 x y)))))
1.0ms
y
@inf
(*.f64 (*.f64 x 2) (log.f64 (cbrt.f64 (/.f64 x y))))
1.0ms
y
@-inf
(*.f64 (*.f64 x 2) (log.f64 (cbrt.f64 (/.f64 x y))))

rewrite66.0ms (1.9%)

Algorithm
batch-egg-rewrite
Rules
433×fma-def_binary64
215×fma-neg_binary64
212×expm1-udef_binary64
212×log1p-udef_binary64
178×log-pow_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01131
123728
2323221
Stop Event
node limit
Counts
2 → 89
Calls
Call 1
Inputs
(+.f64 (*.f64 x (log.f64 (cbrt.f64 (/.f64 x y)))) (*.f64 (*.f64 x 2) (log.f64 (cbrt.f64 (/.f64 x y)))))
(*.f64 (*.f64 x 2) (log.f64 (cbrt.f64 (/.f64 x y))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (log.f64 (/.f64 x y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 x (log.f64 (cbrt.f64 (/.f64 x y)))) 2) (*.f64 (log.f64 (cbrt.f64 (/.f64 x y))) (-.f64 x (*.f64 x 2)))) (/.f64 (pow.f64 (*.f64 x (*.f64 2/3 (log.f64 (/.f64 x y)))) 2) (*.f64 (log.f64 (cbrt.f64 (/.f64 x y))) (-.f64 x (*.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (log.f64 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (cbrt.f64 (/.f64 x y))) (*.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (log.f64 (/.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (log.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (log.f64 (/.f64 x y)))) (pow.f64 (cbrt.f64 (*.f64 x (log.f64 (/.f64 x y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 (/.f64 x y)))) 2) (cbrt.f64 (*.f64 x (log.f64 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (log.f64 (cbrt.f64 (/.f64 x y))) 2)) (*.f64 (cbrt.f64 (log.f64 (cbrt.f64 (/.f64 x y)))) (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (log.f64 (/.f64 x y)))) (sqrt.f64 (*.f64 x (log.f64 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (cbrt.f64 (/.f64 x y)))) (*.f64 (sqrt.f64 (log.f64 (cbrt.f64 (/.f64 x y)))) (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 x (log.f64 (cbrt.f64 (/.f64 x y)))) 3) (pow.f64 (*.f64 x (*.f64 2/3 (log.f64 (/.f64 x y)))) 3)) (/.f64 1 (fma.f64 (*.f64 x (*.f64 2/3 (log.f64 (/.f64 x y)))) (log.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) (*.f64 x 2)) (pow.f64 (cbrt.f64 (/.f64 x y)) x))) (pow.f64 (*.f64 x (log.f64 (cbrt.f64 (/.f64 x y)))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x (log.f64 (/.f64 x y))) (*.f64 (log.f64 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 2/3 (log.f64 (/.f64 x y)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 2/3 (log.f64 (/.f64 x y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 2/3 (log.f64 (/.f64 x y))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (*.f64 2/3 (log.f64 (/.f64 x y))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (*.f64 2/3 (log.f64 (/.f64 x y)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (*.f64 2/3 (log.f64 (/.f64 x y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) (*.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 2/3 (log.f64 (/.f64 x y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (*.f64 2/3 (log.f64 (/.f64 x y)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 2/3 (log.f64 (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 2/3 (log.f64 (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 2/3 (log.f64 (/.f64 x y))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 2/3 (log.f64 (/.f64 x y))))))))))

simplify8.0ms (0.2%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
Stop Event
saturated
Counts
89 → 89
Calls
Call 1
Inputs
Outputs

prune174.0ms (5.1%)

Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1682170
Fresh268
Picked011
Done202
Total1729181
Error
0.0b
Counts
181 → 9
Alt Table
StatusErrorProgram
14.9b
(-.f64 (+.f64 (*.f64 x (log.f64 (cbrt.f64 (/.f64 x y)))) (*.f64 (*.f64 x 2) (log.f64 (cbrt.f64 (/.f64 x y))))) z)
34.7b
(-.f64 (*.f64 x (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x))) z)
33.2b
(-.f64 (cbrt.f64 (pow.f64 (*.f64 x (log.f64 (/.f64 x y))) 3)) z)
14.9b
(-.f64 (fma.f64 x (log.f64 (cbrt.f64 (/.f64 x y))) (*.f64 x (*.f64 2/3 (log.f64 (/.f64 x y))))) z)
46.4b
(-.f64 (log.f64 (pow.f64 (/.f64 x y) x)) z)
14.9b
(-.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 x y))) (*.f64 x 3)) z)
29.7b
(-.f64 (*.f64 x (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (*.f64 -1 x)))) z)
34.7b
(-.f64 (*.f64 x (/.f64 (-.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 y) 3)) (+.f64 (*.f64 (log.f64 x) (log.f64 x)) (+.f64 (*.f64 (log.f64 y) (log.f64 y)) (*.f64 (log.f64 x) (log.f64 y)))))) z)
38.9b
(-.f64 (*.f64 x (*.f64 (sqrt.f64 (log.f64 (/.f64 x y))) (sqrt.f64 (log.f64 (/.f64 x y))))) z)
Compiler

Compiled 4069 to 1541 computations (62.1% saved)

regimes345.0ms (10.1%)

Accuracy

Total -63.7b remaining (-20645.3%)

Threshold costs -63.7b (-20645.3%)

Counts
33 → 2
Compiler

Compiled 478 to 210 computations (56.1% saved)

bsearch3.0ms (0.1%)

Algorithm
binary-search
Calls

1 calls:

2.0ms
y
Steps
ItersPointRange
0.0
∈ [
-1.3766912512288649e-306
,
6.180727780152681e-307
]
Compiler

Compiled 45 to 32 computations (28.9% saved)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Rules
+-commutative_binary64
sub-neg_binary64
*-commutative_binary64
neg-sub0_binary64
neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02038
13438
24838
35638
45938
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 y 0) (-.f64 (*.f64 x (-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y)))) z) (-.f64 (*.f64 x (-.f64 (log.f64 x) (log.f64 y))) z))
Outputs
(if (<=.f64 y 0) (-.f64 (*.f64 x (-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y)))) z) (-.f64 (*.f64 x (-.f64 (log.f64 x) (log.f64 y))) z))

end126.0ms (3.7%)

Stop Event
fuel
Compiler

Compiled 190 to 95 computations (50% saved)

Profiling

Loading profile data...