Details

Time bar (total: 4.8s)

analyze511.0ms (10.7%)

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)

sample1.2s (25.7%)

Results
1.1s8256×body128valid
102.0ms769×body128invalid

preprocess56.0ms (1.2%)

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)

simplify51.0ms (1.1%)

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))

eval1.0ms (0%)

Compiler

Compiled 19 to 9 computations (52.6% saved)

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New112
Fresh101
Picked000
Done000
Total213
Error
15.5b
Counts
3 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
15.5b
(fma.f64 x (log.f64 (/.f64 x y)) (neg.f64 z))
Compiler

Compiled 22 to 14 computations (36.4% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.1b
(fma.f64 x (log.f64 (/.f64 x y)) (neg.f64 z))
15.2b
(log.f64 (/.f64 x y))

series150.0ms (3.2%)

Counts
2 → 60
Calls

15 calls:

TimeVariablePointExpression
38.0ms
x
@-inf
(log.f64 (/.f64 x y))
27.0ms
x
@0
(log.f64 (/.f64 x y))
19.0ms
x
@-inf
(fma.f64 x (log.f64 (/.f64 x y)) (neg.f64 z))
14.0ms
y
@-inf
(log.f64 (/.f64 x y))
12.0ms
y
@0
(log.f64 (/.f64 x y))

rewrite43.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
773×pow1_binary64
710×log1p-expm1-u_binary64
710×expm1-log1p-u_binary64
85×add-sqr-sqrt_binary64
83×*-un-lft-identity_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0818
116516
2213716
Stop Event
node limit
Counts
2 → 52
Calls
Call 1
Inputs
(log.f64 (/.f64 x y))
(fma.f64 x (log.f64 (/.f64 x y)) (neg.f64 z))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 x) (log.f64 (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 x) (neg.f64 (log.f64 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 (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 (log.f64 x) (log.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (log.f64 (/.f64 y x)))))) (#(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 (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 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 log1p.f64 (-.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 z (*.f64 x (log.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (log.f64 (/.f64 x y))) z)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (log.f64 (/.f64 x y))) 1) z)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (log.f64 (/.f64 x y))) z)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x (log.f64 (/.f64 x y)) z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 x (log.f64 (/.f64 x y))) 0) z)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x (log.f64 (/.f64 x y)) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x (log.f64 (/.f64 x y)) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x (log.f64 (/.f64 x y)) z)) (pow.f64 (cbrt.f64 (fma.f64 x (log.f64 (/.f64 x y)) z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x (log.f64 (/.f64 x y)) z)) 2) (cbrt.f64 (fma.f64 x (log.f64 (/.f64 x y)) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x (log.f64 (/.f64 x y)) z)) (sqrt.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 z 3)) (+.f64 (*.f64 (*.f64 x (log.f64 (/.f64 x y))) (*.f64 x (log.f64 (/.f64 x y)))) (-.f64 (*.f64 z z) (*.f64 (*.f64 x (log.f64 (/.f64 x y))) z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x (log.f64 (/.f64 x y))) (*.f64 x (log.f64 (/.f64 x y)))) (*.f64 z z)) (fma.f64 x (log.f64 (/.f64 x y)) z))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x (log.f64 (/.f64 x y)) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (log.f64 (/.f64 x y)) z) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x (log.f64 (/.f64 x y)) z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x (log.f64 (/.f64 x y)) z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x (log.f64 (/.f64 x y)) z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x (log.f64 (/.f64 x y)) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (log.f64 (/.f64 x y)) z))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x (log.f64 (/.f64 x y)) z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x (log.f64 (/.f64 x y)) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x (log.f64 (/.f64 x y)) z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x (log.f64 (/.f64 x y)) z)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x (log.f64 (/.f64 x y)) z)))))))

simplify70.0ms (1.5%)

Algorithm
egg-herbie
Rules
642×fma-neg_binary64
606×fma-def_binary64
482×unsub-neg_binary64
319×distribute-rgt-in_binary64
271×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
042723
193540
2173540
3480540
41330540
52992540
64879540
Stop Event
node limit
Counts
112 → 72
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 -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)
(+.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))
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))
(+.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 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))
(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 (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 (*.f64 -1 x)))
(fma.f64 -1 (log.f64 y) (log.f64 x))
(log.f64 (/.f64 x y))
(+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (*.f64 -1 x)))
(fma.f64 -1 (log.f64 y) (log.f64 x))
(log.f64 (/.f64 x y))
(+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (*.f64 -1 x)))
(fma.f64 -1 (log.f64 y) (log.f64 x))
(log.f64 (/.f64 x y))
(+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (*.f64 -1 x)))
(fma.f64 -1 (log.f64 y) (log.f64 x))
(log.f64 (/.f64 x y))
(*.f64 -1 z)
(neg.f64 z)
(+.f64 (*.f64 -1 z) (*.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) x))
(-.f64 (*.f64 x (fma.f64 -1 (log.f64 y) (log.f64 x))) z)
(fma.f64 x (log.f64 (/.f64 x y)) (neg.f64 z))
(+.f64 (*.f64 -1 z) (*.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) x))
(-.f64 (*.f64 x (fma.f64 -1 (log.f64 y) (log.f64 x))) z)
(fma.f64 x (log.f64 (/.f64 x y)) (neg.f64 z))
(+.f64 (*.f64 -1 z) (*.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) x))
(-.f64 (*.f64 x (fma.f64 -1 (log.f64 y) (log.f64 x))) z)
(fma.f64 x (log.f64 (/.f64 x y)) (neg.f64 z))
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 1 y))) x)
(*.f64 x (fma.f64 -1 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 y))))
(*.f64 x (log.f64 (/.f64 x y)))
(+.f64 (*.f64 -1 z) (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 1 y))) x))
(-.f64 (*.f64 x (fma.f64 -1 (log.f64 y) (log.f64 x))) z)
(fma.f64 x (log.f64 (/.f64 x y)) (neg.f64 z))
(+.f64 (*.f64 -1 z) (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 1 y))) x))
(-.f64 (*.f64 x (fma.f64 -1 (log.f64 y) (log.f64 x))) z)
(fma.f64 x (log.f64 (/.f64 x y)) (neg.f64 z))
(+.f64 (*.f64 -1 z) (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 1 y))) x))
(-.f64 (*.f64 x (fma.f64 -1 (log.f64 y) (log.f64 x))) z)
(fma.f64 x (log.f64 (/.f64 x y)) (neg.f64 z))
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (/.f64 -1 y))) x)
(*.f64 x (fma.f64 -1 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 y))))
(*.f64 x (log.f64 (/.f64 x y)))
(+.f64 (*.f64 -1 z) (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (/.f64 -1 y))) x))
(-.f64 (*.f64 x (fma.f64 -1 (log.f64 y) (log.f64 x))) z)
(fma.f64 x (log.f64 (/.f64 x y)) (neg.f64 z))
(+.f64 (*.f64 -1 z) (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (/.f64 -1 y))) x))
(-.f64 (*.f64 x (fma.f64 -1 (log.f64 y) (log.f64 x))) z)
(fma.f64 x (log.f64 (/.f64 x y)) (neg.f64 z))
(+.f64 (*.f64 -1 z) (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (/.f64 -1 y))) x))
(-.f64 (*.f64 x (fma.f64 -1 (log.f64 y) (log.f64 x))) z)
(fma.f64 x (log.f64 (/.f64 x y)) (neg.f64 z))
(-.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 y)) (log.f64 x)) x) z)
(-.f64 (*.f64 x (fma.f64 -1 (log.f64 y) (log.f64 x))) z)
(fma.f64 x (log.f64 (/.f64 x y)) (neg.f64 z))
(-.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 y)) (log.f64 x)) x) z)
(-.f64 (*.f64 x (fma.f64 -1 (log.f64 y) (log.f64 x))) z)
(fma.f64 x (log.f64 (/.f64 x y)) (neg.f64 z))
(-.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 y)) (log.f64 x)) x) z)
(-.f64 (*.f64 x (fma.f64 -1 (log.f64 y) (log.f64 x))) z)
(fma.f64 x (log.f64 (/.f64 x y)) (neg.f64 z))
(-.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 y)) (log.f64 x)) x) z)
(-.f64 (*.f64 x (fma.f64 -1 (log.f64 y) (log.f64 x))) z)
(fma.f64 x (log.f64 (/.f64 x y)) (neg.f64 z))
(-.f64 (*.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) x) z)
(-.f64 (*.f64 x (fma.f64 -1 (log.f64 y) (log.f64 x))) z)
(fma.f64 x (log.f64 (/.f64 x y)) (neg.f64 z))
(-.f64 (*.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) x) z)
(-.f64 (*.f64 x (fma.f64 -1 (log.f64 y) (log.f64 x))) z)
(fma.f64 x (log.f64 (/.f64 x y)) (neg.f64 z))
(-.f64 (*.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) x) z)
(-.f64 (*.f64 x (fma.f64 -1 (log.f64 y) (log.f64 x))) z)
(fma.f64 x (log.f64 (/.f64 x y)) (neg.f64 z))
(-.f64 (*.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) x) z)
(-.f64 (*.f64 x (fma.f64 -1 (log.f64 y) (log.f64 x))) z)
(fma.f64 x (log.f64 (/.f64 x y)) (neg.f64 z))
(-.f64 (*.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (*.f64 -1 x))) x) z)
(-.f64 (*.f64 x (fma.f64 -1 (log.f64 y) (log.f64 x))) z)
(fma.f64 x (log.f64 (/.f64 x y)) (neg.f64 z))
(-.f64 (*.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (*.f64 -1 x))) x) z)
(-.f64 (*.f64 x (fma.f64 -1 (log.f64 y) (log.f64 x))) z)
(fma.f64 x (log.f64 (/.f64 x y)) (neg.f64 z))
(-.f64 (*.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (*.f64 -1 x))) x) z)
(-.f64 (*.f64 x (fma.f64 -1 (log.f64 y) (log.f64 x))) z)
(fma.f64 x (log.f64 (/.f64 x y)) (neg.f64 z))
(-.f64 (*.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (*.f64 -1 x))) x) z)
(-.f64 (*.f64 x (fma.f64 -1 (log.f64 y) (log.f64 x))) z)
(fma.f64 x (log.f64 (/.f64 x y)) (neg.f64 z))
(*.f64 (log.f64 (/.f64 x y)) x)
(*.f64 x (fma.f64 -1 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 y))))
(*.f64 x (log.f64 (/.f64 x y)))
(+.f64 (*.f64 -1 z) (*.f64 (log.f64 (/.f64 x y)) x))
(-.f64 (*.f64 x (fma.f64 -1 (log.f64 y) (log.f64 x))) z)
(fma.f64 x (log.f64 (/.f64 x y)) (neg.f64 z))
(+.f64 (*.f64 -1 z) (*.f64 (log.f64 (/.f64 x y)) x))
(-.f64 (*.f64 x (fma.f64 -1 (log.f64 y) (log.f64 x))) z)
(fma.f64 x (log.f64 (/.f64 x y)) (neg.f64 z))
(+.f64 (*.f64 -1 z) (*.f64 (log.f64 (/.f64 x y)) x))
(-.f64 (*.f64 x (fma.f64 -1 (log.f64 y) (log.f64 x))) z)
(fma.f64 x (log.f64 (/.f64 x y)) (neg.f64 z))
(*.f64 -1 z)
(neg.f64 z)
(+.f64 (*.f64 -1 z) (*.f64 (log.f64 (/.f64 x y)) x))
(-.f64 (*.f64 x (fma.f64 -1 (log.f64 y) (log.f64 x))) z)
(fma.f64 x (log.f64 (/.f64 x y)) (neg.f64 z))
(+.f64 (*.f64 -1 z) (*.f64 (log.f64 (/.f64 x y)) x))
(-.f64 (*.f64 x (fma.f64 -1 (log.f64 y) (log.f64 x))) z)
(fma.f64 x (log.f64 (/.f64 x y)) (neg.f64 z))
(+.f64 (*.f64 -1 z) (*.f64 (log.f64 (/.f64 x y)) x))
(-.f64 (*.f64 x (fma.f64 -1 (log.f64 y) (log.f64 x))) z)
(fma.f64 x (log.f64 (/.f64 x y)) (neg.f64 z))
(*.f64 -1 z)
(neg.f64 z)
(+.f64 (*.f64 -1 z) (*.f64 (log.f64 (/.f64 x y)) x))
(-.f64 (*.f64 x (fma.f64 -1 (log.f64 y) (log.f64 x))) z)
(fma.f64 x (log.f64 (/.f64 x y)) (neg.f64 z))
(+.f64 (*.f64 -1 z) (*.f64 (log.f64 (/.f64 x y)) x))
(-.f64 (*.f64 x (fma.f64 -1 (log.f64 y) (log.f64 x))) z)
(fma.f64 x (log.f64 (/.f64 x y)) (neg.f64 z))
(+.f64 (*.f64 -1 z) (*.f64 (log.f64 (/.f64 x y)) x))
(-.f64 (*.f64 x (fma.f64 -1 (log.f64 y) (log.f64 x))) z)
(fma.f64 x (log.f64 (/.f64 x y)) (neg.f64 z))

eval14.0ms (0.3%)

Compiler

Compiled 872 to 307 computations (64.8% saved)

prune94.0ms (2%)

Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New64872
Fresh000
Picked011
Done000
Total64973
Error
0.1b
Counts
73 → 9
Alt Table
Click to see full alt table
StatusErrorProgram
15.5b
(fma.f64 x (log.f64 (/.f64 x y)) (neg.f64 z))
33.5b
(fma.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))))) (neg.f64 z))
15.5b
(fma.f64 x (+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) (log.f64 (cbrt.f64 (/.f64 x y)))) (neg.f64 z))
52.4b
(pow.f64 (sqrt.f64 (fma.f64 x (log.f64 (/.f64 x y)) z)) 2)
33.4b
(fma.f64 x (-.f64 (log.f64 x) (log.f64 y)) (neg.f64 z))
15.6b
(fma.f64 x (cbrt.f64 (pow.f64 (log.f64 (/.f64 x y)) 3)) (neg.f64 z))
41.3b
(pow.f64 (cbrt.f64 (fma.f64 x (log.f64 (/.f64 x y)) z)) 3)
15.8b
(fma.f64 x (pow.f64 (cbrt.f64 (log.f64 (/.f64 x y))) 3) (neg.f64 z))
30.9b
(fma.f64 x (-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y))) (neg.f64 z))
Compiler

Compiled 279 to 179 computations (35.8% saved)

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.3b
(+.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)
3.5b
(log.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2))
15.7b
(cbrt.f64 (/.f64 x y))

series41.0ms (0.9%)

Counts
4 → 0
Calls

24 calls:

TimeVariablePointExpression
22.0ms
x
@0
(log.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2))
2.0ms
x
@-inf
(log.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2))
2.0ms
x
@-inf
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) (log.f64 (cbrt.f64 (/.f64 x y))))
1.0ms
x
@-inf
(cbrt.f64 (/.f64 x y))
1.0ms
x
@0
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) (log.f64 (cbrt.f64 (/.f64 x y))))

rewrite68.0ms (1.4%)

Algorithm
batch-egg-rewrite
Rules
702×prod-diff_binary64
245×fma-def_binary64
172×expm1-udef_binary64
172×log1p-udef_binary64
152×fma-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01032
121432
2271432
Stop Event
node limit
Counts
4 → 141
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 (log.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) (log.f64 (cbrt.f64 (/.f64 x y))))
Outputs
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((x fma.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (/.f64 x y)))) 2) (cbrt.f64 (log.f64 (cbrt.f64 (/.f64 x y)))) (*.f64 2 (log.f64 (cbrt.f64 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (/.f64 x y)))) 2) (*.f64 (cbrt.f64 (log.f64 (cbrt.f64 (/.f64 x y)))) 2) (log.f64 (cbrt.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 2 (log.f64 (cbrt.f64 (/.f64 x y))))) (sqrt.f64 (*.f64 2 (log.f64 (cbrt.f64 (/.f64 x y))))) (log.f64 (cbrt.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log.f64 (cbrt.f64 (/.f64 x y)))) (sqrt.f64 (log.f64 (cbrt.f64 (/.f64 x y)))) (*.f64 2 (log.f64 (cbrt.f64 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log.f64 (cbrt.f64 (/.f64 x y)))) (*.f64 (sqrt.f64 (log.f64 (cbrt.f64 (/.f64 x y)))) 2) (log.f64 (cbrt.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/3 (log.f64 (/.f64 x y)) (*.f64 2 (log.f64 (cbrt.f64 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 (log.f64 x))) (cbrt.f64 (log.f64 x)) (neg.f64 (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)) (neg.f64 (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (cbrt.f64 (/.f64 x y)))) (sqrt.f64 (log.f64 (cbrt.f64 (/.f64 x y))))) (-.f64 (sqrt.f64 (*.f64 2 (log.f64 (cbrt.f64 (/.f64 x y))))) (sqrt.f64 (log.f64 (cbrt.f64 (/.f64 x y))))) (*.f64 2 (log.f64 (cbrt.f64 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (/.f64 x y)))) 2)) (cbrt.f64 (log.f64 (cbrt.f64 (/.f64 x y)))) (log.f64 (cbrt.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2 (sqrt.f64 (log.f64 (cbrt.f64 (/.f64 x y))))) (sqrt.f64 (log.f64 (cbrt.f64 (/.f64 x y)))) (log.f64 (cbrt.f64 (/.f64 x y))))))) (#(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 log1p.f64 (-.f64 (/.f64 x y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (/.f64 x y))))))))

simplify9.0ms (0.2%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
Stop Event
saturated
Counts
141 → 141
Calls
Call 1
Inputs
Outputs

eval47.0ms (1%)

Compiler

Compiled 3710 to 1258 computations (66.1% saved)

prune490.0ms (10.3%)

Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New1695174
Fresh347
Picked101
Done011
Total17310183
Error
0.1b
Counts
183 → 10
Alt Table
Click to see full alt table
StatusErrorProgram
30.9b
(fma.f64 x (-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y))) (neg.f64 z))
52.4b
(pow.f64 (sqrt.f64 (fma.f64 x (log.f64 (/.f64 x y)) z)) 2)
15.6b
(fma.f64 x (/.f64 (-.f64 (pow.f64 (log.f64 (cbrt.f64 (/.f64 x y))) 2) (*.f64 4 (pow.f64 (log.f64 (cbrt.f64 (/.f64 x y))) 2))) (-.f64 (log.f64 (cbrt.f64 (/.f64 x y))) (*.f64 2 (log.f64 (cbrt.f64 (/.f64 x y)))))) (neg.f64 z))
15.5b
(fma.f64 x (log.f64 (/.f64 x y)) (neg.f64 z))
33.5b
(fma.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))))) (neg.f64 z))
33.6b
(fma.f64 x (fma.f64 (*.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 (log.f64 x))) (cbrt.f64 (log.f64 x)) (neg.f64 (log.f64 y))) (neg.f64 z))
33.4b
(fma.f64 x (-.f64 (log.f64 x) (log.f64 y)) (neg.f64 z))
41.3b
(pow.f64 (cbrt.f64 (fma.f64 x (log.f64 (/.f64 x y)) z)) 3)
15.5b
(fma.f64 x (+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) (log.f64 (pow.f64 (/.f64 x y) 1/3))) (neg.f64 z))
15.6b
(fma.f64 x (+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) (log.f64 (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))))))) (neg.f64 z))
Compiler

Compiled 407 to 239 computations (41.3% saved)

localize19.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.5b
(pow.f64 (cbrt.f64 (/.f64 x y)) 2)
3.5b
(log.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2))
15.7b
(cbrt.f64 (/.f64 x y))
18.9b
(pow.f64 (/.f64 x y) 1/3)

series3.0ms (0.1%)

Counts
1 → 0
Calls

6 calls:

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

rewrite36.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
618×pow1_binary64
580×add-log-exp_binary64
580×log1p-expm1-u_binary64
580×expm1-log1p-u_binary64
63×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
066
11326
215676
Stop Event
node limit
Counts
1 → 21
Calls
Call 1
Inputs
(pow.f64 (/.f64 x y) 1/3)
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 (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 (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 (pow.f64 (/.f64 x y) 1/6) (pow.f64 (/.f64 x y) 1/6))))) (#(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 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) 1/3) (cbrt.f64 (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 (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 sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2))))) (#(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 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 log1p.f64 (expm1.f64 (cbrt.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (/.f64 x y))))))))

simplify7.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
Stop Event
saturated
Counts
21 → 21
Calls
Call 1
Inputs
Outputs

eval42.0ms (0.9%)

Compiler

Compiled 2406 to 1064 computations (55.8% saved)

prune219.0ms (4.6%)

Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New1060106
Fresh088
Picked011
Done011
Total10610116
Error
0.1b
Counts
116 → 10
Alt Table
Click to see full alt table
StatusErrorProgram
30.9b
(fma.f64 x (-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y))) (neg.f64 z))
52.4b
(pow.f64 (sqrt.f64 (fma.f64 x (log.f64 (/.f64 x y)) z)) 2)
15.6b
(fma.f64 x (/.f64 (-.f64 (pow.f64 (log.f64 (cbrt.f64 (/.f64 x y))) 2) (*.f64 4 (pow.f64 (log.f64 (cbrt.f64 (/.f64 x y))) 2))) (-.f64 (log.f64 (cbrt.f64 (/.f64 x y))) (*.f64 2 (log.f64 (cbrt.f64 (/.f64 x y)))))) (neg.f64 z))
15.5b
(fma.f64 x (log.f64 (/.f64 x y)) (neg.f64 z))
33.5b
(fma.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))))) (neg.f64 z))
33.6b
(fma.f64 x (fma.f64 (*.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 (log.f64 x))) (cbrt.f64 (log.f64 x)) (neg.f64 (log.f64 y))) (neg.f64 z))
33.4b
(fma.f64 x (-.f64 (log.f64 x) (log.f64 y)) (neg.f64 z))
41.3b
(pow.f64 (cbrt.f64 (fma.f64 x (log.f64 (/.f64 x y)) z)) 3)
15.5b
(fma.f64 x (+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) (log.f64 (pow.f64 (/.f64 x y) 1/3))) (neg.f64 z))
15.6b
(fma.f64 x (+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) (log.f64 (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))))))) (neg.f64 z))
Compiler

Compiled 386 to 225 computations (41.7% saved)

localize18.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.3b
(-.f64 (pow.f64 (log.f64 (cbrt.f64 (/.f64 x y))) 2) (*.f64 4 (pow.f64 (log.f64 (cbrt.f64 (/.f64 x y))) 2)))
0.3b
(/.f64 (-.f64 (pow.f64 (log.f64 (cbrt.f64 (/.f64 x y))) 2) (*.f64 4 (pow.f64 (log.f64 (cbrt.f64 (/.f64 x y))) 2))) (-.f64 (log.f64 (cbrt.f64 (/.f64 x y))) (*.f64 2 (log.f64 (cbrt.f64 (/.f64 x y))))))
0.5b
(pow.f64 (log.f64 (cbrt.f64 (/.f64 x y))) 2)
15.7b
(cbrt.f64 (/.f64 x y))

series89.0ms (1.9%)

Counts
3 → 0
Calls

18 calls:

TimeVariablePointExpression
23.0ms
y
@-inf
(-.f64 (pow.f64 (log.f64 (cbrt.f64 (/.f64 x y))) 2) (*.f64 4 (pow.f64 (log.f64 (cbrt.f64 (/.f64 x y))) 2)))
11.0ms
y
@inf
(/.f64 (-.f64 (pow.f64 (log.f64 (cbrt.f64 (/.f64 x y))) 2) (*.f64 4 (pow.f64 (log.f64 (cbrt.f64 (/.f64 x y))) 2))) (-.f64 (log.f64 (cbrt.f64 (/.f64 x y))) (*.f64 2 (log.f64 (cbrt.f64 (/.f64 x y))))))
11.0ms
x
@inf
(/.f64 (-.f64 (pow.f64 (log.f64 (cbrt.f64 (/.f64 x y))) 2) (*.f64 4 (pow.f64 (log.f64 (cbrt.f64 (/.f64 x y))) 2))) (-.f64 (log.f64 (cbrt.f64 (/.f64 x y))) (*.f64 2 (log.f64 (cbrt.f64 (/.f64 x y))))))
8.0ms
x
@-inf
(/.f64 (-.f64 (pow.f64 (log.f64 (cbrt.f64 (/.f64 x y))) 2) (*.f64 4 (pow.f64 (log.f64 (cbrt.f64 (/.f64 x y))) 2))) (-.f64 (log.f64 (cbrt.f64 (/.f64 x y))) (*.f64 2 (log.f64 (cbrt.f64 (/.f64 x y))))))
8.0ms
y
@0
(/.f64 (-.f64 (pow.f64 (log.f64 (cbrt.f64 (/.f64 x y))) 2) (*.f64 4 (pow.f64 (log.f64 (cbrt.f64 (/.f64 x y))) 2))) (-.f64 (log.f64 (cbrt.f64 (/.f64 x y))) (*.f64 2 (log.f64 (cbrt.f64 (/.f64 x y))))))

rewrite75.0ms (1.6%)

Algorithm
batch-egg-rewrite
Rules
262×log1p-udef_binary64
163×add-sqr-sqrt_binary64
158×pow1_binary64
157×*-un-lft-identity_binary64
155×add-log-exp_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01488
132331
2470231
Stop Event
node limit
Counts
3 → 110
Calls
Call 1
Inputs
(pow.f64 (log.f64 (cbrt.f64 (/.f64 x y))) 2)
(/.f64 (-.f64 (pow.f64 (log.f64 (cbrt.f64 (/.f64 x y))) 2) (*.f64 4 (pow.f64 (log.f64 (cbrt.f64 (/.f64 x y))) 2))) (-.f64 (log.f64 (cbrt.f64 (/.f64 x y))) (*.f64 2 (log.f64 (cbrt.f64 (/.f64 x y))))))
(-.f64 (pow.f64 (log.f64 (cbrt.f64 (/.f64 x y))) 2) (*.f64 4 (pow.f64 (log.f64 (cbrt.f64 (/.f64 x y))) 2)))
Outputs
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(cbrt.f64 (/.f64 x y))) 4) 16))) (neg.f64 (*.f64 (pow.f64 (log.f64 (cbrt.f64 (/.f64 x y))) 2) 5)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (log.f64 (cbrt.f64 (/.f64 x y))) 6) (pow.f64 (*.f64 (pow.f64 (log.f64 (cbrt.f64 (/.f64 x y))) 2) -4) 3)) (+.f64 (pow.f64 (log.f64 (cbrt.f64 (/.f64 x y))) 4) (-.f64 (*.f64 (*.f64 (pow.f64 (log.f64 (cbrt.f64 (/.f64 x y))) 2) -4) (*.f64 (pow.f64 (log.f64 (cbrt.f64 (/.f64 x y))) 2) -4)) (*.f64 (pow.f64 (log.f64 (cbrt.f64 (/.f64 x y))) 2) (*.f64 (pow.f64 (log.f64 (cbrt.f64 (/.f64 x y))) 2) -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log.f64 (cbrt.f64 (/.f64 x y))) 4) (*.f64 (*.f64 (pow.f64 (log.f64 (cbrt.f64 (/.f64 x y))) 2) -4) (*.f64 (pow.f64 (log.f64 (cbrt.f64 (/.f64 x y))) 2) -4))) (-.f64 (pow.f64 (log.f64 (cbrt.f64 (/.f64 x y))) 2) (*.f64 (pow.f64 (log.f64 (cbrt.f64 (/.f64 x y))) 2) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (log.f64 (cbrt.f64 (/.f64 x y))) 2) -3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (pow.f64 (log.f64 (cbrt.f64 (/.f64 x y))) 2) -3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (pow.f64 (log.f64 (cbrt.f64 (/.f64 x y))) 2) -3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (pow.f64 (log.f64 (cbrt.f64 (/.f64 x y))) 2) -3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (pow.f64 (log.f64 (cbrt.f64 (/.f64 x y))) 2) -3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (pow.f64 (log.f64 (cbrt.f64 (/.f64 x y))) 2) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (log.f64 (cbrt.f64 (/.f64 x y))) 2) -3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (pow.f64 (log.f64 (cbrt.f64 (/.f64 x y))) 2) -3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (log.f64 (cbrt.f64 (/.f64 x y))) (log.f64 (cbrt.f64 (/.f64 x y))) (*.f64 (pow.f64 (log.f64 (cbrt.f64 (/.f64 x y))) 2) -4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (pow.f64 (log.f64 (cbrt.f64 (/.f64 x y))) 2) (*.f64 (pow.f64 (log.f64 (cbrt.f64 (/.f64 x y))) 2) -4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (log.f64 (cbrt.f64 (/.f64 x y))) 4)) (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (/.f64 x y)))) 2) (*.f64 (pow.f64 (log.f64 (cbrt.f64 (/.f64 x y))) 2) -4))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (pow.f64 (log.f64 (cbrt.f64 (/.f64 x y))) 2) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (log.f64 (cbrt.f64 (/.f64 x y))) 2) -3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 (log.f64 (cbrt.f64 (/.f64 x y))) 2) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 (log.f64 (cbrt.f64 (/.f64 x y))) 2) -3)))))))

simplify8.0ms (0.2%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
Stop Event
saturated
Counts
110 → 110
Calls
Call 1
Inputs
Outputs

eval152.0ms (3.2%)

Compiler

Compiled 9360 to 3630 computations (61.2% saved)

prune1.0s (21.6%)

Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New2591260
Fresh167
Picked011
Done022
Total26010270
Error
0.1b
Counts
270 → 10
Alt Table
Click to see full alt table
StatusErrorProgram
30.9b
(fma.f64 x (-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y))) (neg.f64 z))
52.4b
(pow.f64 (sqrt.f64 (fma.f64 x (log.f64 (/.f64 x y)) z)) 2)
15.6b
(fma.f64 x (/.f64 (-.f64 (pow.f64 (log.f64 (cbrt.f64 (/.f64 x y))) 2) (*.f64 4 (pow.f64 (log.f64 (cbrt.f64 (/.f64 x y))) 2))) (-.f64 (log.f64 (cbrt.f64 (/.f64 x y))) (*.f64 2 (log.f64 (cbrt.f64 (/.f64 x y)))))) (neg.f64 z))
15.5b
(fma.f64 x (log.f64 (/.f64 x y)) (neg.f64 z))
33.5b
(fma.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))))) (neg.f64 z))
33.6b
(fma.f64 x (fma.f64 (*.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 (log.f64 x))) (cbrt.f64 (log.f64 x)) (neg.f64 (log.f64 y))) (neg.f64 z))
33.4b
(fma.f64 x (-.f64 (log.f64 x) (log.f64 y)) (neg.f64 z))
41.3b
(pow.f64 (cbrt.f64 (fma.f64 x (log.f64 (/.f64 x y)) z)) 3)
15.6b
(fma.f64 x (/.f64 (fma.f64 (log.f64 (cbrt.f64 (/.f64 x y))) (log.f64 (cbrt.f64 (/.f64 x y))) (*.f64 (pow.f64 (log.f64 (cbrt.f64 (/.f64 x y))) 2) -4)) (-.f64 (log.f64 (cbrt.f64 (/.f64 x y))) (*.f64 2 (log.f64 (cbrt.f64 (/.f64 x y)))))) (neg.f64 z))
15.5b
(fma.f64 x (+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) (log.f64 (pow.f64 (/.f64 x y) 1/3))) (neg.f64 z))
Compiler

Compiled 218 to 122 computations (44% saved)

regimes139.0ms (2.9%)

Accuracy

Total -63.7b remaining (-19802%)

Threshold costs -63.7b (-19802%)

Counts
16 → 2
Calls
Call 1
Inputs
(fma.f64 x (/.f64 (fma.f64 (log.f64 (cbrt.f64 (/.f64 x y))) (log.f64 (cbrt.f64 (/.f64 x y))) (*.f64 (pow.f64 (log.f64 (cbrt.f64 (/.f64 x y))) 2) -4)) (-.f64 (log.f64 (cbrt.f64 (/.f64 x y))) (*.f64 2 (log.f64 (cbrt.f64 (/.f64 x y)))))) (neg.f64 z))
(fma.f64 x (-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y))) (neg.f64 z))
(fma.f64 x (/.f64 (-.f64 (pow.f64 (log.f64 (cbrt.f64 (/.f64 x y))) 2) (*.f64 4 (pow.f64 (log.f64 (cbrt.f64 (/.f64 x y))) 2))) (-.f64 (log.f64 (cbrt.f64 (/.f64 x y))) (*.f64 2 (log.f64 (cbrt.f64 (/.f64 x y)))))) (neg.f64 z))
(fma.f64 x (fma.f64 (*.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 (log.f64 x))) (cbrt.f64 (log.f64 x)) (neg.f64 (log.f64 y))) (neg.f64 z))
(fma.f64 x (+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) (log.f64 (pow.f64 (/.f64 x y) 1/3))) (neg.f64 z))
(fma.f64 x (+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) (log.f64 (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))))))) (neg.f64 z))
(fma.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))))) (neg.f64 z))
(fma.f64 x (+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) (log.f64 (cbrt.f64 (/.f64 x y)))) (neg.f64 z))
(pow.f64 (sqrt.f64 (fma.f64 x (log.f64 (/.f64 x y)) z)) 2)
(fma.f64 x (-.f64 (log.f64 x) (log.f64 y)) (neg.f64 z))
(fma.f64 x (cbrt.f64 (pow.f64 (log.f64 (/.f64 x y)) 3)) (neg.f64 z))
(pow.f64 (cbrt.f64 (fma.f64 x (log.f64 (/.f64 x y)) z)) 3)
(fma.f64 x (pow.f64 (cbrt.f64 (log.f64 (/.f64 x y))) 3) (neg.f64 z))
(fma.f64 x (-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y))) (neg.f64 z))
(fma.f64 x (log.f64 (/.f64 x y)) (neg.f64 z))
(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)
Outputs
(fma.f64 x (-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y))) (neg.f64 z))
(fma.f64 x (-.f64 (log.f64 x) (log.f64 y)) (neg.f64 z))
Results
TimeErrorSegmentsBranch
18.0ms0.3b2x
28.0ms0.3b2y
9.0ms15.5b1z
51.0ms5.3b3(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)
23.0ms5.3b3(*.f64 x (log.f64 (/.f64 x y)))
Compiler

Compiled 310 to 121 computations (61% saved)

bsearch4.0ms (0.1%)

Algorithm
binary-search
Steps
TimePointRange
4.0ms
0.0
∈ [
-1.875426756507168e-308
,
9.44745900591629e-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
01938
13038
24238
34938
45138
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 y 0) (fma.f64 x (-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y))) (neg.f64 z)) (fma.f64 x (-.f64 (log.f64 x) (log.f64 y)) (neg.f64 z)))
Outputs
(if (<=.f64 y 0) (fma.f64 x (-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y))) (neg.f64 z)) (fma.f64 x (-.f64 (log.f64 x) (log.f64 y)) (neg.f64 z)))

end33.0ms (0.7%)

Stop Event
fuel
Compiler

Compiled 54 to 34 computations (37% saved)

Profiling

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