Details

Time bar (total: 3.2s)

analyze381.0ms (12%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.8%0.2%0
0%99.8%0.2%1
0%99.8%0.2%2
0%74.9%25.1%3
0%74.9%25.1%4
0%74.9%25.1%5
0%62.4%37.6%6
0%46.8%53.2%7
3.1%40.5%56.3%8
3.1%32.7%64.1%9
4.7%28.3%67.1%10
7%23%70%11
10.5%18.9%70.6%12
10.5%17.1%72.4%13
12.3%14.5%73.2%14
Compiler

Compiled 16 to 11 computations (31.3% saved)

sample1.3s (40.8%)

Results
1.2s8254×body128valid
94.0ms649×body128invalid
1.0msbody1024valid
Compiler

Compiled 32 to 22 computations (31.3% saved)

preprocess34.0ms (1.1%)

Algorithm
egg-herbie
Rules
662×fma-def_binary64
621×fma-neg_binary64
474×sub-neg_binary64
418×cancel-sign-sub-inv_binary64
355×associate--r-_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035119
197119
2315119
3940105
42381105
044
Stop Event
saturated
node limit
Calls
Call 1
Inputs
0
1
2
3
Outputs
0
1
2
3
Call 2
Inputs
(+.f64 (-.f64 (-.f64 (*.f64 x (log.f64 y)) y) z) (log.f64 t))
(+.f64 (-.f64 (-.f64 (*.f64 y (log.f64 x)) x) z) (log.f64 t))
(+.f64 (-.f64 (-.f64 (*.f64 z (log.f64 y)) y) x) (log.f64 t))
(+.f64 (-.f64 (-.f64 (*.f64 t (log.f64 y)) y) z) (log.f64 x))
(+.f64 (-.f64 (-.f64 (*.f64 x (log.f64 z)) z) y) (log.f64 t))
(+.f64 (-.f64 (-.f64 (*.f64 x (log.f64 t)) t) z) (log.f64 y))
(+.f64 (-.f64 (-.f64 (*.f64 x (log.f64 y)) y) t) (log.f64 z))
Outputs
(+.f64 (-.f64 (-.f64 (*.f64 x (log.f64 y)) y) z) (log.f64 t))
(+.f64 (-.f64 (fma.f64 x (log.f64 y) (neg.f64 y)) z) (log.f64 t))
(+.f64 (fma.f64 x (log.f64 y) (-.f64 (neg.f64 z) y)) (log.f64 t))
(-.f64 (fma.f64 x (log.f64 y) (log.f64 t)) (+.f64 y z))
(-.f64 (fma.f64 x (log.f64 y) (-.f64 (log.f64 t) y)) z)
(+.f64 (-.f64 (-.f64 (*.f64 y (log.f64 x)) x) z) (log.f64 t))
(+.f64 (log.f64 t) (-.f64 (-.f64 (*.f64 y (log.f64 x)) x) z))
(+.f64 (log.f64 t) (-.f64 (*.f64 y (log.f64 x)) (+.f64 x z)))
(-.f64 (fma.f64 y (log.f64 x) (log.f64 t)) (+.f64 x z))
(-.f64 (-.f64 (fma.f64 y (log.f64 x) (log.f64 t)) z) x)
(+.f64 (-.f64 (-.f64 (*.f64 z (log.f64 y)) y) x) (log.f64 t))
(+.f64 (log.f64 t) (-.f64 (*.f64 (log.f64 y) z) (+.f64 y x)))
(+.f64 (log.f64 t) (-.f64 (fma.f64 (log.f64 y) z (neg.f64 y)) x))
(+.f64 (log.f64 t) (fma.f64 (log.f64 y) z (neg.f64 (+.f64 x y))))
(-.f64 (fma.f64 (log.f64 y) z (log.f64 t)) (+.f64 x y))
(+.f64 (-.f64 (-.f64 (*.f64 t (log.f64 y)) y) z) (log.f64 x))
(+.f64 (log.f64 x) (-.f64 (*.f64 (log.f64 y) t) (+.f64 y z)))
(+.f64 (log.f64 x) (fma.f64 (log.f64 y) t (-.f64 (neg.f64 z) y)))
(fma.f64 (log.f64 y) t (-.f64 (-.f64 (log.f64 x) z) y))
(-.f64 (fma.f64 (log.f64 y) t (log.f64 x)) (+.f64 y z))
(+.f64 (-.f64 (-.f64 (*.f64 x (log.f64 z)) z) y) (log.f64 t))
(+.f64 (log.f64 t) (-.f64 (*.f64 x (log.f64 z)) (+.f64 z y)))
(+.f64 (log.f64 t) (-.f64 (*.f64 x (log.f64 z)) (+.f64 y z)))
(-.f64 (*.f64 x (log.f64 z)) (+.f64 y (-.f64 z (log.f64 t))))
(-.f64 (fma.f64 x (log.f64 z) (log.f64 t)) (+.f64 y z))
(fma.f64 x (log.f64 z) (-.f64 (log.f64 t) (+.f64 y z)))
(+.f64 (-.f64 (-.f64 (*.f64 x (log.f64 t)) t) z) (log.f64 y))
(+.f64 (log.f64 y) (-.f64 (-.f64 (*.f64 x (log.f64 t)) t) z))
(+.f64 (log.f64 y) (-.f64 (*.f64 x (log.f64 t)) (+.f64 z t)))
(-.f64 (fma.f64 x (log.f64 t) (log.f64 y)) (+.f64 z t))
(+.f64 (-.f64 (-.f64 (*.f64 x (log.f64 y)) y) t) (log.f64 z))
(+.f64 (log.f64 z) (-.f64 (*.f64 x (log.f64 y)) (+.f64 y t)))
(+.f64 (log.f64 z) (-.f64 (fma.f64 x (log.f64 y) (neg.f64 y)) t))
(-.f64 (+.f64 (*.f64 x (log.f64 y)) (log.f64 z)) (+.f64 y t))
(-.f64 (fma.f64 x (log.f64 y) (log.f64 z)) (+.f64 y t))
Compiler

Compiled 15 to 10 computations (33.3% saved)

simplify39.0ms (1.2%)

Algorithm
egg-herbie
Rules
1015×fma-neg_binary64
287×distribute-rgt-in_binary64
278×unsub-neg_binary64
236×fma-def_binary64
223×sub-neg_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01117
12217
25917
316315
440715
591415
6136815
7182315
8210415
9287315
10468115
Stop Event
node limit
Counts
1 → 2
Calls
Call 1
Inputs
(+.f64 (-.f64 (-.f64 (*.f64 x (log.f64 y)) y) z) (log.f64 t))
Outputs
(+.f64 (-.f64 (-.f64 (*.f64 x (log.f64 y)) y) z) (log.f64 t))
(+.f64 (-.f64 (fma.f64 x (log.f64 y) (neg.f64 y)) z) (log.f64 t))
(-.f64 (-.f64 (*.f64 x (log.f64 y)) y) (-.f64 z (log.f64 t)))
(-.f64 (*.f64 x (log.f64 y)) (+.f64 z (-.f64 y (log.f64 t))))
(-.f64 (fma.f64 x (log.f64 y) (log.f64 t)) (+.f64 y z))

prune3.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New112
Fresh101
Picked000
Done000
Total213
Error
0.1b
Counts
3 → 1
Alt Table
StatusErrorProgram
0.1b
(-.f64 (fma.f64 x (log.f64 y) (log.f64 t)) (+.f64 y z))
Compiler

Compiled 53 to 31 computations (41.5% saved)

localize9.0ms (0.3%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(-.f64 (fma.f64 x (log.f64 y) (log.f64 t)) (+.f64 y z))
0.1b
(fma.f64 x (log.f64 y) (log.f64 t))

series118.0ms (3.7%)

Counts
2 → 84
Calls

21 calls:

TimeVariablePointExpression
41.0ms
y
@0
(fma.f64 x (log.f64 y) (log.f64 t))
23.0ms
t
@0
(fma.f64 x (log.f64 y) (log.f64 t))
12.0ms
y
@-inf
(fma.f64 x (log.f64 y) (log.f64 t))
10.0ms
t
@-inf
(fma.f64 x (log.f64 y) (log.f64 t))
9.0ms
x
@0
(fma.f64 x (log.f64 y) (log.f64 t))

rewrite58.0ms (1.8%)

Algorithm
batch-egg-rewrite
Rules
477×fma-def_binary64
229×fma-neg_binary64
204×expm1-udef_binary64
204×log1p-udef_binary64
173×log-pow_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01024
121524
2306924
Stop Event
node limit
Counts
2 → 148
Calls
Call 1
Inputs
(fma.f64 x (log.f64 y) (log.f64 t))
(-.f64 (fma.f64 x (log.f64 y) (log.f64 t)) (+.f64 y z))
Outputs
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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 (+.f64 y z))) (sqrt.f64 (+.f64 y z)) (fma.f64 x (log.f64 y) (log.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (+.f64 y z) (fma.f64 x (log.f64 y) (log.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (fma.f64 x (log.f64 y) (log.f64 t))) (sqrt.f64 y)) (-.f64 (sqrt.f64 (fma.f64 x (log.f64 y) (log.f64 t))) (sqrt.f64 y)) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (fma.f64 x (log.f64 y) (log.f64 t))) (sqrt.f64 y)) (-.f64 (sqrt.f64 (fma.f64 x (log.f64 y) (log.f64 t))) (sqrt.f64 y)) (*.f64 -1 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (fma.f64 x (log.f64 y) (log.f64 t))) (sqrt.f64 y)) (-.f64 (sqrt.f64 (fma.f64 x (log.f64 y) (log.f64 t))) (sqrt.f64 y)) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (fma.f64 x (log.f64 y) (log.f64 t))) (sqrt.f64 y)) (-.f64 (sqrt.f64 (fma.f64 x (log.f64 y) (log.f64 t))) (sqrt.f64 y)) (*.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (fma.f64 x (log.f64 y) (log.f64 t))) (sqrt.f64 (+.f64 y z))) (-.f64 (sqrt.f64 (fma.f64 x (log.f64 y) (log.f64 t))) (sqrt.f64 (+.f64 y z))) (fma.f64 (neg.f64 (+.f64 y z)) 1 (+.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (fma.f64 x (log.f64 y) (log.f64 t))) (sqrt.f64 (+.f64 y z))) (-.f64 (sqrt.f64 (fma.f64 x (log.f64 y) (log.f64 t))) (sqrt.f64 (+.f64 y z))) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 y z))) (pow.f64 (cbrt.f64 (+.f64 y z)) 2) (+.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (fma.f64 x (log.f64 y) (log.f64 t))) (sqrt.f64 (+.f64 y z))) (-.f64 (sqrt.f64 (fma.f64 x (log.f64 y) (log.f64 t))) (sqrt.f64 (+.f64 y z))) (+.f64 (neg.f64 (+.f64 y z)) (+.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 (log.f64 y))) (*.f64 (sqrt.f64 x) (sqrt.f64 (log.f64 y))) (-.f64 (log.f64 t) (+.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 y z)) 2)) (cbrt.f64 (+.f64 y z)) (fma.f64 x (log.f64 y) (log.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (cbrt.f64 (pow.f64 (log.f64 y) 2))) (cbrt.f64 (log.f64 y)) (-.f64 (log.f64 t) (+.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 (log.f64 y))) (sqrt.f64 (log.f64 y)) (-.f64 (log.f64 t) (+.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (fma.f64 x (log.f64 y) (log.f64 t)) (+.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (fma.f64 x (log.f64 y) (log.f64 t)) (+.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (fma.f64 x (log.f64 y) (log.f64 t)) (+.f64 y z))) 1))))))

simplify45.0ms (1.4%)

Algorithm
egg-herbie
Rules
444×associate--r+_binary64
441×fma-neg_binary64
419×fma-def_binary64
338×associate-+l-_binary64
328×associate--l+_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046954
1134954
2364954
31263954
Stop Event
node limit
Counts
232 → 171
Calls
Call 1
Inputs
(log.f64 t)
(+.f64 (*.f64 (log.f64 y) x) (log.f64 t))
(+.f64 (*.f64 (log.f64 y) x) (log.f64 t))
(+.f64 (*.f64 (log.f64 y) x) (log.f64 t))
(*.f64 (log.f64 y) x)
(+.f64 (*.f64 (log.f64 y) x) (log.f64 t))
(+.f64 (*.f64 (log.f64 y) x) (log.f64 t))
(+.f64 (*.f64 (log.f64 y) x) (log.f64 t))
(*.f64 (log.f64 y) x)
(+.f64 (*.f64 (log.f64 y) x) (log.f64 t))
(+.f64 (*.f64 (log.f64 y) x) (log.f64 t))
(+.f64 (*.f64 (log.f64 y) x) (log.f64 t))
(+.f64 (*.f64 (log.f64 y) x) (log.f64 t))
(+.f64 (*.f64 (log.f64 y) x) (log.f64 t))
(+.f64 (*.f64 (log.f64 y) x) (log.f64 t))
(+.f64 (*.f64 (log.f64 y) x) (log.f64 t))
(-.f64 (log.f64 t) (*.f64 (log.f64 (/.f64 1 y)) x))
(-.f64 (log.f64 t) (*.f64 (log.f64 (/.f64 1 y)) x))
(-.f64 (log.f64 t) (*.f64 (log.f64 (/.f64 1 y)) x))
(-.f64 (log.f64 t) (*.f64 (log.f64 (/.f64 1 y)) x))
(-.f64 (+.f64 (*.f64 (log.f64 -1) x) (log.f64 t)) (*.f64 (log.f64 (/.f64 -1 y)) x))
(-.f64 (+.f64 (*.f64 (log.f64 -1) x) (log.f64 t)) (*.f64 (log.f64 (/.f64 -1 y)) x))
(-.f64 (+.f64 (*.f64 (log.f64 -1) x) (log.f64 t)) (*.f64 (log.f64 (/.f64 -1 y)) x))
(-.f64 (+.f64 (*.f64 (log.f64 -1) x) (log.f64 t)) (*.f64 (log.f64 (/.f64 -1 y)) x))
(+.f64 (*.f64 (log.f64 y) x) (log.f64 t))
(+.f64 (*.f64 (log.f64 y) x) (log.f64 t))
(+.f64 (*.f64 (log.f64 y) x) (log.f64 t))
(+.f64 (*.f64 (log.f64 y) x) (log.f64 t))
(-.f64 (*.f64 (log.f64 y) x) (log.f64 (/.f64 1 t)))
(-.f64 (*.f64 (log.f64 y) x) (log.f64 (/.f64 1 t)))
(-.f64 (*.f64 (log.f64 y) x) (log.f64 (/.f64 1 t)))
(-.f64 (*.f64 (log.f64 y) x) (log.f64 (/.f64 1 t)))
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (log.f64 -1)) (log.f64 (/.f64 -1 t)))
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (log.f64 -1)) (log.f64 (/.f64 -1 t)))
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (log.f64 -1)) (log.f64 (/.f64 -1 t)))
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (log.f64 -1)) (log.f64 (/.f64 -1 t)))
(-.f64 (log.f64 t) (+.f64 y z))
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (log.f64 t)) (+.f64 y z))
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (log.f64 t)) (+.f64 y z))
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (log.f64 t)) (+.f64 y z))
(*.f64 (log.f64 y) x)
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (log.f64 t)) (+.f64 y z))
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (log.f64 t)) (+.f64 y z))
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (log.f64 t)) (+.f64 y z))
(*.f64 (log.f64 y) x)
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (log.f64 t)) (+.f64 y z))
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (log.f64 t)) (+.f64 y z))
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (log.f64 t)) (+.f64 y z))
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (log.f64 t)) z)
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (log.f64 t)) (+.f64 y z))
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (log.f64 t)) (+.f64 y z))
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (log.f64 t)) (+.f64 y z))
(*.f64 -1 y)
(-.f64 (log.f64 t) (+.f64 (*.f64 x (log.f64 (/.f64 1 y))) (+.f64 y z)))
(-.f64 (log.f64 t) (+.f64 (*.f64 x (log.f64 (/.f64 1 y))) (+.f64 y z)))
(-.f64 (log.f64 t) (+.f64 (*.f64 x (log.f64 (/.f64 1 y))) (+.f64 y z)))
(*.f64 -1 y)
(-.f64 (+.f64 (*.f64 (log.f64 -1) x) (log.f64 t)) (+.f64 (*.f64 (log.f64 (/.f64 -1 y)) x) (+.f64 y z)))
(-.f64 (+.f64 (*.f64 (log.f64 -1) x) (log.f64 t)) (+.f64 (*.f64 (log.f64 (/.f64 -1 y)) x) (+.f64 y z)))
(-.f64 (+.f64 (*.f64 (log.f64 -1) x) (log.f64 t)) (+.f64 (*.f64 (log.f64 (/.f64 -1 y)) x) (+.f64 y z)))
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (log.f64 t)) (+.f64 y z))
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (log.f64 t)) (+.f64 y z))
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (log.f64 t)) (+.f64 y z))
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (log.f64 t)) (+.f64 y z))
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y (+.f64 z (log.f64 (/.f64 1 t)))))
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y (+.f64 z (log.f64 (/.f64 1 t)))))
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y (+.f64 z (log.f64 (/.f64 1 t)))))
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y (+.f64 z (log.f64 (/.f64 1 t)))))
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (log.f64 -1)) (+.f64 (log.f64 (/.f64 -1 t)) (+.f64 y z)))
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (log.f64 -1)) (+.f64 (log.f64 (/.f64 -1 t)) (+.f64 y z)))
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (log.f64 -1)) (+.f64 (log.f64 (/.f64 -1 t)) (+.f64 y z)))
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (log.f64 -1)) (+.f64 (log.f64 (/.f64 -1 t)) (+.f64 y z)))
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (log.f64 t)) y)
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (log.f64 t)) (+.f64 y z))
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (log.f64 t)) (+.f64 y z))
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (log.f64 t)) (+.f64 y z))
(*.f64 -1 z)
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (log.f64 t)) (+.f64 y z))
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (log.f64 t)) (+.f64 y z))
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (log.f64 t)) (+.f64 y z))
(*.f64 -1 z)
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (log.f64 t)) (+.f64 y z))
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (log.f64 t)) (+.f64 y z))
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (log.f64 t)) (+.f64 y z))
Outputs
(log.f64 t)
(+.f64 (*.f64 (log.f64 y) x) (log.f64 t))
(fma.f64 (log.f64 y) x (log.f64 t))
(+.f64 (*.f64 (log.f64 y) x) (log.f64 t))
(fma.f64 (log.f64 y) x (log.f64 t))
(+.f64 (*.f64 (log.f64 y) x) (log.f64 t))
(fma.f64 (log.f64 y) x (log.f64 t))
(*.f64 (log.f64 y) x)
(+.f64 (*.f64 (log.f64 y) x) (log.f64 t))
(fma.f64 (log.f64 y) x (log.f64 t))
(+.f64 (*.f64 (log.f64 y) x) (log.f64 t))
(fma.f64 (log.f64 y) x (log.f64 t))
(+.f64 (*.f64 (log.f64 y) x) (log.f64 t))
(fma.f64 (log.f64 y) x (log.f64 t))
(*.f64 (log.f64 y) x)
(+.f64 (*.f64 (log.f64 y) x) (log.f64 t))
(fma.f64 (log.f64 y) x (log.f64 t))
(+.f64 (*.f64 (log.f64 y) x) (log.f64 t))
(fma.f64 (log.f64 y) x (log.f64 t))
(+.f64 (*.f64 (log.f64 y) x) (log.f64 t))
(fma.f64 (log.f64 y) x (log.f64 t))
(+.f64 (*.f64 (log.f64 y) x) (log.f64 t))
(fma.f64 (log.f64 y) x (log.f64 t))
(+.f64 (*.f64 (log.f64 y) x) (log.f64 t))
(fma.f64 (log.f64 y) x (log.f64 t))
(+.f64 (*.f64 (log.f64 y) x) (log.f64 t))
(fma.f64 (log.f64 y) x (log.f64 t))
(+.f64 (*.f64 (log.f64 y) x) (log.f64 t))
(fma.f64 (log.f64 y) x (log.f64 t))
(-.f64 (log.f64 t) (*.f64 (log.f64 (/.f64 1 y)) x))
(fma.f64 (log.f64 y) x (log.f64 t))
(-.f64 (log.f64 t) (*.f64 (log.f64 (/.f64 1 y)) x))
(fma.f64 (log.f64 y) x (log.f64 t))
(-.f64 (log.f64 t) (*.f64 (log.f64 (/.f64 1 y)) x))
(fma.f64 (log.f64 y) x (log.f64 t))
(-.f64 (log.f64 t) (*.f64 (log.f64 (/.f64 1 y)) x))
(fma.f64 (log.f64 y) x (log.f64 t))
(-.f64 (+.f64 (*.f64 (log.f64 -1) x) (log.f64 t)) (*.f64 (log.f64 (/.f64 -1 y)) x))
(fma.f64 (log.f64 y) x (log.f64 t))
(-.f64 (+.f64 (*.f64 (log.f64 -1) x) (log.f64 t)) (*.f64 (log.f64 (/.f64 -1 y)) x))
(fma.f64 (log.f64 y) x (log.f64 t))
(-.f64 (+.f64 (*.f64 (log.f64 -1) x) (log.f64 t)) (*.f64 (log.f64 (/.f64 -1 y)) x))
(fma.f64 (log.f64 y) x (log.f64 t))
(-.f64 (+.f64 (*.f64 (log.f64 -1) x) (log.f64 t)) (*.f64 (log.f64 (/.f64 -1 y)) x))
(fma.f64 (log.f64 y) x (log.f64 t))
(+.f64 (*.f64 (log.f64 y) x) (log.f64 t))
(fma.f64 (log.f64 y) x (log.f64 t))
(+.f64 (*.f64 (log.f64 y) x) (log.f64 t))
(fma.f64 (log.f64 y) x (log.f64 t))
(+.f64 (*.f64 (log.f64 y) x) (log.f64 t))
(fma.f64 (log.f64 y) x (log.f64 t))
(+.f64 (*.f64 (log.f64 y) x) (log.f64 t))
(fma.f64 (log.f64 y) x (log.f64 t))
(-.f64 (*.f64 (log.f64 y) x) (log.f64 (/.f64 1 t)))
(fma.f64 (log.f64 y) x (log.f64 t))
(-.f64 (*.f64 (log.f64 y) x) (log.f64 (/.f64 1 t)))
(fma.f64 (log.f64 y) x (log.f64 t))
(-.f64 (*.f64 (log.f64 y) x) (log.f64 (/.f64 1 t)))
(fma.f64 (log.f64 y) x (log.f64 t))
(-.f64 (*.f64 (log.f64 y) x) (log.f64 (/.f64 1 t)))
(fma.f64 (log.f64 y) x (log.f64 t))
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (log.f64 -1)) (log.f64 (/.f64 -1 t)))
(fma.f64 (log.f64 y) x (log.f64 t))
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (log.f64 -1)) (log.f64 (/.f64 -1 t)))
(fma.f64 (log.f64 y) x (log.f64 t))
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (log.f64 -1)) (log.f64 (/.f64 -1 t)))
(fma.f64 (log.f64 y) x (log.f64 t))
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (log.f64 -1)) (log.f64 (/.f64 -1 t)))
(fma.f64 (log.f64 y) x (log.f64 t))
(-.f64 (log.f64 t) (+.f64 y z))
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (log.f64 t)) (+.f64 y z))
(-.f64 (fma.f64 (log.f64 y) x (log.f64 t)) (+.f64 y z))
(-.f64 (fma.f64 (log.f64 y) x (-.f64 (log.f64 t) y)) z)
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (log.f64 t)) (+.f64 y z))
(-.f64 (fma.f64 (log.f64 y) x (log.f64 t)) (+.f64 y z))
(-.f64 (fma.f64 (log.f64 y) x (-.f64 (log.f64 t) y)) z)
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (log.f64 t)) (+.f64 y z))
(-.f64 (fma.f64 (log.f64 y) x (log.f64 t)) (+.f64 y z))
(-.f64 (fma.f64 (log.f64 y) x (-.f64 (log.f64 t) y)) z)
(*.f64 (log.f64 y) x)
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (log.f64 t)) (+.f64 y z))
(-.f64 (fma.f64 (log.f64 y) x (log.f64 t)) (+.f64 y z))
(-.f64 (fma.f64 (log.f64 y) x (-.f64 (log.f64 t) y)) z)
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (log.f64 t)) (+.f64 y z))
(-.f64 (fma.f64 (log.f64 y) x (log.f64 t)) (+.f64 y z))
(-.f64 (fma.f64 (log.f64 y) x (-.f64 (log.f64 t) y)) z)
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (log.f64 t)) (+.f64 y z))
(-.f64 (fma.f64 (log.f64 y) x (log.f64 t)) (+.f64 y z))
(-.f64 (fma.f64 (log.f64 y) x (-.f64 (log.f64 t) y)) z)
(*.f64 (log.f64 y) x)
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (log.f64 t)) (+.f64 y z))
(-.f64 (fma.f64 (log.f64 y) x (log.f64 t)) (+.f64 y z))
(-.f64 (fma.f64 (log.f64 y) x (-.f64 (log.f64 t) y)) z)
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (log.f64 t)) (+.f64 y z))
(-.f64 (fma.f64 (log.f64 y) x (log.f64 t)) (+.f64 y z))
(-.f64 (fma.f64 (log.f64 y) x (-.f64 (log.f64 t) y)) z)
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (log.f64 t)) (+.f64 y z))
(-.f64 (fma.f64 (log.f64 y) x (log.f64 t)) (+.f64 y z))
(-.f64 (fma.f64 (log.f64 y) x (-.f64 (log.f64 t) y)) z)
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (log.f64 t)) z)
(-.f64 (fma.f64 (log.f64 y) x (log.f64 t)) z)
(fma.f64 (log.f64 y) x (-.f64 (log.f64 t) z))
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (log.f64 t)) (+.f64 y z))
(-.f64 (fma.f64 (log.f64 y) x (log.f64 t)) (+.f64 y z))
(-.f64 (fma.f64 (log.f64 y) x (-.f64 (log.f64 t) y)) z)
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (log.f64 t)) (+.f64 y z))
(-.f64 (fma.f64 (log.f64 y) x (log.f64 t)) (+.f64 y z))
(-.f64 (fma.f64 (log.f64 y) x (-.f64 (log.f64 t) y)) z)
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (log.f64 t)) (+.f64 y z))
(-.f64 (fma.f64 (log.f64 y) x (log.f64 t)) (+.f64 y z))
(-.f64 (fma.f64 (log.f64 y) x (-.f64 (log.f64 t) y)) z)
(*.f64 -1 y)
(neg.f64 y)
(-.f64 (log.f64 t) (+.f64 (*.f64 x (log.f64 (/.f64 1 y))) (+.f64 y z)))
(-.f64 (fma.f64 (log.f64 y) x (log.f64 t)) (+.f64 y z))
(-.f64 (fma.f64 (log.f64 y) x (-.f64 (log.f64 t) y)) z)
(-.f64 (log.f64 t) (+.f64 (*.f64 x (log.f64 (/.f64 1 y))) (+.f64 y z)))
(-.f64 (fma.f64 (log.f64 y) x (log.f64 t)) (+.f64 y z))
(-.f64 (fma.f64 (log.f64 y) x (-.f64 (log.f64 t) y)) z)
(-.f64 (log.f64 t) (+.f64 (*.f64 x (log.f64 (/.f64 1 y))) (+.f64 y z)))
(-.f64 (fma.f64 (log.f64 y) x (log.f64 t)) (+.f64 y z))
(-.f64 (fma.f64 (log.f64 y) x (-.f64 (log.f64 t) y)) z)
(*.f64 -1 y)
(neg.f64 y)
(-.f64 (+.f64 (*.f64 (log.f64 -1) x) (log.f64 t)) (+.f64 (*.f64 (log.f64 (/.f64 -1 y)) x) (+.f64 y z)))
(-.f64 (fma.f64 (log.f64 y) x (log.f64 t)) (+.f64 y z))
(-.f64 (fma.f64 (log.f64 y) x (-.f64 (log.f64 t) y)) z)
(-.f64 (+.f64 (*.f64 (log.f64 -1) x) (log.f64 t)) (+.f64 (*.f64 (log.f64 (/.f64 -1 y)) x) (+.f64 y z)))
(-.f64 (fma.f64 (log.f64 y) x (log.f64 t)) (+.f64 y z))
(-.f64 (fma.f64 (log.f64 y) x (-.f64 (log.f64 t) y)) z)
(-.f64 (+.f64 (*.f64 (log.f64 -1) x) (log.f64 t)) (+.f64 (*.f64 (log.f64 (/.f64 -1 y)) x) (+.f64 y z)))
(-.f64 (fma.f64 (log.f64 y) x (log.f64 t)) (+.f64 y z))
(-.f64 (fma.f64 (log.f64 y) x (-.f64 (log.f64 t) y)) z)
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (log.f64 t)) (+.f64 y z))
(-.f64 (fma.f64 (log.f64 y) x (log.f64 t)) (+.f64 y z))
(-.f64 (fma.f64 (log.f64 y) x (-.f64 (log.f64 t) y)) z)
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (log.f64 t)) (+.f64 y z))
(-.f64 (fma.f64 (log.f64 y) x (log.f64 t)) (+.f64 y z))
(-.f64 (fma.f64 (log.f64 y) x (-.f64 (log.f64 t) y)) z)
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (log.f64 t)) (+.f64 y z))
(-.f64 (fma.f64 (log.f64 y) x (log.f64 t)) (+.f64 y z))
(-.f64 (fma.f64 (log.f64 y) x (-.f64 (log.f64 t) y)) z)
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (log.f64 t)) (+.f64 y z))
(-.f64 (fma.f64 (log.f64 y) x (log.f64 t)) (+.f64 y z))
(-.f64 (fma.f64 (log.f64 y) x (-.f64 (log.f64 t) y)) z)
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y (+.f64 z (log.f64 (/.f64 1 t)))))
(-.f64 (fma.f64 (log.f64 y) x (log.f64 t)) (+.f64 y z))
(-.f64 (fma.f64 (log.f64 y) x (-.f64 (log.f64 t) y)) z)
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y (+.f64 z (log.f64 (/.f64 1 t)))))
(-.f64 (fma.f64 (log.f64 y) x (log.f64 t)) (+.f64 y z))
(-.f64 (fma.f64 (log.f64 y) x (-.f64 (log.f64 t) y)) z)
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y (+.f64 z (log.f64 (/.f64 1 t)))))
(-.f64 (fma.f64 (log.f64 y) x (log.f64 t)) (+.f64 y z))
(-.f64 (fma.f64 (log.f64 y) x (-.f64 (log.f64 t) y)) z)
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y (+.f64 z (log.f64 (/.f64 1 t)))))
(-.f64 (fma.f64 (log.f64 y) x (log.f64 t)) (+.f64 y z))
(-.f64 (fma.f64 (log.f64 y) x (-.f64 (log.f64 t) y)) z)
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (log.f64 -1)) (+.f64 (log.f64 (/.f64 -1 t)) (+.f64 y z)))
(-.f64 (fma.f64 (log.f64 y) x (log.f64 t)) (+.f64 y z))
(-.f64 (fma.f64 (log.f64 y) x (-.f64 (log.f64 t) y)) z)
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (log.f64 -1)) (+.f64 (log.f64 (/.f64 -1 t)) (+.f64 y z)))
(-.f64 (fma.f64 (log.f64 y) x (log.f64 t)) (+.f64 y z))
(-.f64 (fma.f64 (log.f64 y) x (-.f64 (log.f64 t) y)) z)
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (log.f64 -1)) (+.f64 (log.f64 (/.f64 -1 t)) (+.f64 y z)))
(-.f64 (fma.f64 (log.f64 y) x (log.f64 t)) (+.f64 y z))
(-.f64 (fma.f64 (log.f64 y) x (-.f64 (log.f64 t) y)) z)
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (log.f64 -1)) (+.f64 (log.f64 (/.f64 -1 t)) (+.f64 y z)))
(-.f64 (fma.f64 (log.f64 y) x (log.f64 t)) (+.f64 y z))
(-.f64 (fma.f64 (log.f64 y) x (-.f64 (log.f64 t) y)) z)
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (log.f64 t)) y)
(-.f64 (fma.f64 (log.f64 y) x (log.f64 t)) y)
(fma.f64 (log.f64 y) x (-.f64 (log.f64 t) y))
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (log.f64 t)) (+.f64 y z))
(-.f64 (fma.f64 (log.f64 y) x (log.f64 t)) (+.f64 y z))
(-.f64 (fma.f64 (log.f64 y) x (-.f64 (log.f64 t) y)) z)
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (log.f64 t)) (+.f64 y z))
(-.f64 (fma.f64 (log.f64 y) x (log.f64 t)) (+.f64 y z))
(-.f64 (fma.f64 (log.f64 y) x (-.f64 (log.f64 t) y)) z)
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (log.f64 t)) (+.f64 y z))
(-.f64 (fma.f64 (log.f64 y) x (log.f64 t)) (+.f64 y z))
(-.f64 (fma.f64 (log.f64 y) x (-.f64 (log.f64 t) y)) z)
(*.f64 -1 z)
(neg.f64 z)
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (log.f64 t)) (+.f64 y z))
(-.f64 (fma.f64 (log.f64 y) x (log.f64 t)) (+.f64 y z))
(-.f64 (fma.f64 (log.f64 y) x (-.f64 (log.f64 t) y)) z)
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (log.f64 t)) (+.f64 y z))
(-.f64 (fma.f64 (log.f64 y) x (log.f64 t)) (+.f64 y z))
(-.f64 (fma.f64 (log.f64 y) x (-.f64 (log.f64 t) y)) z)
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (log.f64 t)) (+.f64 y z))
(-.f64 (fma.f64 (log.f64 y) x (log.f64 t)) (+.f64 y z))
(-.f64 (fma.f64 (log.f64 y) x (-.f64 (log.f64 t) y)) z)
(*.f64 -1 z)
(neg.f64 z)
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (log.f64 t)) (+.f64 y z))
(-.f64 (fma.f64 (log.f64 y) x (log.f64 t)) (+.f64 y z))
(-.f64 (fma.f64 (log.f64 y) x (-.f64 (log.f64 t) y)) z)
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (log.f64 t)) (+.f64 y z))
(-.f64 (fma.f64 (log.f64 y) x (log.f64 t)) (+.f64 y z))
(-.f64 (fma.f64 (log.f64 y) x (-.f64 (log.f64 t) y)) z)
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (log.f64 t)) (+.f64 y z))
(-.f64 (fma.f64 (log.f64 y) x (log.f64 t)) (+.f64 y z))
(-.f64 (fma.f64 (log.f64 y) x (-.f64 (log.f64 t) y)) z)

prune116.0ms (3.7%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1647171
Fresh000
Picked011
Done000
Total1648172
Error
0.0b
Counts
172 → 8
Alt Table
StatusErrorProgram
0.2b
(fma.f64 (*.f64 x (cbrt.f64 (pow.f64 (log.f64 y) 2))) (cbrt.f64 (log.f64 y)) (-.f64 (log.f64 t) (+.f64 y z)))
45.2b
(-.f64 (pow.f64 (pow.f64 (fma.f64 x (log.f64 y) (log.f64 t)) 3) 1/3) (+.f64 y z))
34.0b
(-.f64 (log.f64 (*.f64 (exp.f64 (*.f64 x (log.f64 y))) t)) (+.f64 y z))
0.6b
(-.f64 (pow.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t))) 3) (+.f64 y z))
22.3b
(-.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (log.f64 y)) 3) (pow.f64 (log.f64 t) 3)) (fma.f64 (*.f64 x (log.f64 y)) (*.f64 x (log.f64 y)) (-.f64 (pow.f64 (log.f64 t) 2) (*.f64 (*.f64 x (log.f64 y)) (log.f64 t))))) (+.f64 y z))
16.4b
(-.f64 (*.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t))) (cbrt.f64 (pow.f64 (fma.f64 x (log.f64 y) (log.f64 t)) 2))) (+.f64 y z))
0.4b
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (log.f64 y)) (-.f64 (log.f64 t) (+.f64 y z)))
0.1b
(-.f64 (fma.f64 x (log.f64 y) (log.f64 t)) (+.f64 y z))
Compiler

Compiled 3688 to 924 computations (74.9% saved)

localize16.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.3b
(*.f64 x (cbrt.f64 (pow.f64 (log.f64 y) 2)))
0.5b
(cbrt.f64 (log.f64 y))
0.5b
(cbrt.f64 (pow.f64 (log.f64 y) 2))
0.5b
(pow.f64 (log.f64 y) 2)

series46.0ms (1.4%)

Counts
4 → 56
Calls

15 calls:

TimeVariablePointExpression
18.0ms
y
@0
(cbrt.f64 (pow.f64 (log.f64 y) 2))
13.0ms
x
@0
(*.f64 x (cbrt.f64 (pow.f64 (log.f64 y) 2)))
3.0ms
y
@0
(cbrt.f64 (log.f64 y))
2.0ms
y
@inf
(cbrt.f64 (log.f64 y))
2.0ms
y
@-inf
(cbrt.f64 (log.f64 y))

rewrite49.0ms (1.5%)

Algorithm
batch-egg-rewrite
Rules
686×pow1_binary64
631×add-log-exp_binary64
631×log1p-expm1-u_binary64
631×expm1-log1p-u_binary64
81×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0930
117430
2185330
Stop Event
node limit
Counts
4 → 78
Calls
Call 1
Inputs
(pow.f64 (log.f64 y) 2)
(cbrt.f64 (pow.f64 (log.f64 y) 2))
(cbrt.f64 (log.f64 y))
(*.f64 x (cbrt.f64 (pow.f64 (log.f64 y) 2)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (log.f64 y) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 y) (log.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 y) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2) (cbrt.f64 (pow.f64 (log.f64 y) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (log.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (log.f64 y) 4)) (pow.f64 (cbrt.f64 (log.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 y)) (*.f64 (sqrt.f64 (log.f64 y)) (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 y) (sqrt.f64 (log.f64 y))) (sqrt.f64 (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 y) (pow.f64 (cbrt.f64 (log.f64 y)) 2)) (cbrt.f64 (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (log.f64 y) 4)) 1) (pow.f64 (cbrt.f64 (log.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (log.f64 y) 4)) (cbrt.f64 (cbrt.f64 (pow.f64 (log.f64 y) 4)))) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (log.f64 y) 4)) (cbrt.f64 (log.f64 y))) (cbrt.f64 (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 y) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 y (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log.f64 y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (log.f64 y) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (log.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (log.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (log.f64 y))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 y)) (cbrt.f64 (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (cbrt.f64 (log.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 y))) 2) (cbrt.f64 (cbrt.f64 (pow.f64 (log.f64 y) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 y))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (log.f64 y))) (cbrt.f64 (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (log.f64 y) 4))) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 y)) (pow.f64 (log.f64 y) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 y) 1/6) (*.f64 (pow.f64 (log.f64 y) 1/6) (cbrt.f64 (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (pow.f64 (cbrt.f64 (log.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (log.f64 y) 4)) 1/3) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (log.f64 y)) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 y))) 2)) (cbrt.f64 (cbrt.f64 (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 y) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 y) 2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 y))) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 (pow.f64 (log.f64 y) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (log.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 y))) 2) (cbrt.f64 (cbrt.f64 (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (log.f64 y))) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 y) 1/6) (pow.f64 (log.f64 y) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (log.f64 y) 4)))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 y))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (log.f64 y)) 1/3) (pow.f64 (sqrt.f64 (log.f64 y)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 y) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 y) 2) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 y) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (log.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (log.f64 y))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cbrt.f64 (log.f64 y)) (sqrt.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 x x) (cbrt.f64 (pow.f64 (log.f64 y) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (pow.f64 (cbrt.f64 (log.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (log.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2) x)))))))

simplify38.0ms (1.2%)

Algorithm
egg-herbie
Rules
428×fma-def_binary64
384×unswap-sqr_binary64
273×fma-neg_binary64
271×unsub-neg_binary64
222×distribute-neg-in_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
028512
170496
2122496
3329496
41079496
53077496
Stop Event
node limit
Counts
134 → 92
Calls
Call 1
Inputs
(pow.f64 (log.f64 (/.f64 1 y)) 2)
(pow.f64 (log.f64 (/.f64 1 y)) 2)
(pow.f64 (log.f64 (/.f64 1 y)) 2)
(pow.f64 (log.f64 (/.f64 1 y)) 2)
(pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) 2)
(pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) 2)
(pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) 2)
(pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) 2)
(pow.f64 (pow.f64 (log.f64 y) 2) 1/3)
(pow.f64 (pow.f64 (log.f64 y) 2) 1/3)
(pow.f64 (pow.f64 (log.f64 y) 2) 1/3)
(pow.f64 (pow.f64 (log.f64 y) 2) 1/3)
(pow.f64 (pow.f64 (log.f64 (/.f64 1 y)) 2) 1/3)
(pow.f64 (pow.f64 (log.f64 (/.f64 1 y)) 2) 1/3)
(pow.f64 (pow.f64 (log.f64 (/.f64 1 y)) 2) 1/3)
(pow.f64 (pow.f64 (log.f64 (/.f64 1 y)) 2) 1/3)
(pow.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) 2) 1/3)
(pow.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) 2) 1/3)
(pow.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) 2) 1/3)
(pow.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) 2) 1/3)
(pow.f64 (log.f64 y) 1/3)
(pow.f64 (log.f64 y) 1/3)
(pow.f64 (log.f64 y) 1/3)
(pow.f64 (log.f64 y) 1/3)
(*.f64 (cbrt.f64 -1) (pow.f64 (log.f64 (/.f64 1 y)) 1/3))
(*.f64 (cbrt.f64 -1) (pow.f64 (log.f64 (/.f64 1 y)) 1/3))
(*.f64 (cbrt.f64 -1) (pow.f64 (log.f64 (/.f64 1 y)) 1/3))
(*.f64 (cbrt.f64 -1) (pow.f64 (log.f64 (/.f64 1 y)) 1/3))
(pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) 1/3)
(pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) 1/3)
(pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) 1/3)
(pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) 1/3)
(*.f64 (pow.f64 (pow.f64 (log.f64 y) 2) 1/3) x)
(*.f64 (pow.f64 (pow.f64 (log.f64 y) 2) 1/3) x)
(*.f64 (pow.f64 (pow.f64 (log.f64 y) 2) 1/3) x)
(*.f64 (pow.f64 (pow.f64 (log.f64 y) 2) 1/3) x)
(*.f64 (pow.f64 (pow.f64 (log.f64 y) 2) 1/3) x)
(*.f64 (pow.f64 (pow.f64 (log.f64 y) 2) 1/3) x)
(*.f64 (pow.f64 (pow.f64 (log.f64 y) 2) 1/3) x)
(*.f64 (pow.f64 (pow.f64 (log.f64 y) 2) 1/3) x)
(*.f64 (pow.f64 (pow.f64 (log.f64 y) 2) 1/3) x)
(*.f64 (pow.f64 (pow.f64 (log.f64 y) 2) 1/3) x)
(*.f64 (pow.f64 (pow.f64 (log.f64 y) 2) 1/3) x)
(*.f64 (pow.f64 (pow.f64 (log.f64 y) 2) 1/3) x)
(*.f64 (pow.f64 (pow.f64 (log.f64 y) 2) 1/3) x)
(*.f64 (pow.f64 (pow.f64 (log.f64 y) 2) 1/3) x)
(*.f64 (pow.f64 (pow.f64 (log.f64 y) 2) 1/3) x)
(*.f64 (pow.f64 (pow.f64 (log.f64 y) 2) 1/3) x)
(*.f64 x (pow.f64 (pow.f64 (log.f64 (/.f64 1 y)) 2) 1/3))
(*.f64 x (pow.f64 (pow.f64 (log.f64 (/.f64 1 y)) 2) 1/3))
(*.f64 x (pow.f64 (pow.f64 (log.f64 (/.f64 1 y)) 2) 1/3))
(*.f64 x (pow.f64 (pow.f64 (log.f64 (/.f64 1 y)) 2) 1/3))
(*.f64 (pow.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) 2) 1/3) x)
(*.f64 (pow.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) 2) 1/3) x)
(*.f64 (pow.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) 2) 1/3) x)
(*.f64 (pow.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) 2) 1/3) x)
Outputs
(pow.f64 (log.f64 (/.f64 1 y)) 2)
(pow.f64 (neg.f64 (log.f64 y)) 2)
(pow.f64 (log.f64 y) 2)
(pow.f64 (log.f64 (/.f64 1 y)) 2)
(pow.f64 (neg.f64 (log.f64 y)) 2)
(pow.f64 (log.f64 y) 2)
(pow.f64 (log.f64 (/.f64 1 y)) 2)
(pow.f64 (neg.f64 (log.f64 y)) 2)
(pow.f64 (log.f64 y) 2)
(pow.f64 (log.f64 (/.f64 1 y)) 2)
(pow.f64 (neg.f64 (log.f64 y)) 2)
(pow.f64 (log.f64 y) 2)
(pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) 2)
(pow.f64 (neg.f64 (log.f64 y)) 2)
(pow.f64 (log.f64 y) 2)
(pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) 2)
(pow.f64 (neg.f64 (log.f64 y)) 2)
(pow.f64 (log.f64 y) 2)
(pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) 2)
(pow.f64 (neg.f64 (log.f64 y)) 2)
(pow.f64 (log.f64 y) 2)
(pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) 2)
(pow.f64 (neg.f64 (log.f64 y)) 2)
(pow.f64 (log.f64 y) 2)
(pow.f64 (pow.f64 (log.f64 y) 2) 1/3)
(cbrt.f64 (pow.f64 (log.f64 y) 2))
(pow.f64 (pow.f64 (log.f64 y) 2) 1/3)
(cbrt.f64 (pow.f64 (log.f64 y) 2))
(pow.f64 (pow.f64 (log.f64 y) 2) 1/3)
(cbrt.f64 (pow.f64 (log.f64 y) 2))
(pow.f64 (pow.f64 (log.f64 y) 2) 1/3)
(cbrt.f64 (pow.f64 (log.f64 y) 2))
(pow.f64 (pow.f64 (log.f64 (/.f64 1 y)) 2) 1/3)
(cbrt.f64 (pow.f64 (log.f64 y) 2))
(pow.f64 (pow.f64 (log.f64 (/.f64 1 y)) 2) 1/3)
(cbrt.f64 (pow.f64 (log.f64 y) 2))
(pow.f64 (pow.f64 (log.f64 (/.f64 1 y)) 2) 1/3)
(cbrt.f64 (pow.f64 (log.f64 y) 2))
(pow.f64 (pow.f64 (log.f64 (/.f64 1 y)) 2) 1/3)
(cbrt.f64 (pow.f64 (log.f64 y) 2))
(pow.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) 2) 1/3)
(cbrt.f64 (pow.f64 (log.f64 y) 2))
(pow.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) 2) 1/3)
(cbrt.f64 (pow.f64 (log.f64 y) 2))
(pow.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) 2) 1/3)
(cbrt.f64 (pow.f64 (log.f64 y) 2))
(pow.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) 2) 1/3)
(cbrt.f64 (pow.f64 (log.f64 y) 2))
(pow.f64 (log.f64 y) 1/3)
(cbrt.f64 (log.f64 y))
(pow.f64 (log.f64 y) 1/3)
(cbrt.f64 (log.f64 y))
(pow.f64 (log.f64 y) 1/3)
(cbrt.f64 (log.f64 y))
(pow.f64 (log.f64 y) 1/3)
(cbrt.f64 (log.f64 y))
(*.f64 (cbrt.f64 -1) (pow.f64 (log.f64 (/.f64 1 y)) 1/3))
(*.f64 (cbrt.f64 -1) (cbrt.f64 (neg.f64 (log.f64 y))))
(*.f64 (cbrt.f64 -1) (pow.f64 (log.f64 (/.f64 1 y)) 1/3))
(*.f64 (cbrt.f64 -1) (cbrt.f64 (neg.f64 (log.f64 y))))
(*.f64 (cbrt.f64 -1) (pow.f64 (log.f64 (/.f64 1 y)) 1/3))
(*.f64 (cbrt.f64 -1) (cbrt.f64 (neg.f64 (log.f64 y))))
(*.f64 (cbrt.f64 -1) (pow.f64 (log.f64 (/.f64 1 y)) 1/3))
(*.f64 (cbrt.f64 -1) (cbrt.f64 (neg.f64 (log.f64 y))))
(pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) 1/3)
(cbrt.f64 (log.f64 y))
(pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) 1/3)
(cbrt.f64 (log.f64 y))
(pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) 1/3)
(cbrt.f64 (log.f64 y))
(pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) 1/3)
(cbrt.f64 (log.f64 y))
(*.f64 (pow.f64 (pow.f64 (log.f64 y) 2) 1/3) x)
(*.f64 (cbrt.f64 (pow.f64 (log.f64 y) 2)) x)
(*.f64 (pow.f64 (pow.f64 (log.f64 y) 2) 1/3) x)
(*.f64 (cbrt.f64 (pow.f64 (log.f64 y) 2)) x)
(*.f64 (pow.f64 (pow.f64 (log.f64 y) 2) 1/3) x)
(*.f64 (cbrt.f64 (pow.f64 (log.f64 y) 2)) x)
(*.f64 (pow.f64 (pow.f64 (log.f64 y) 2) 1/3) x)
(*.f64 (cbrt.f64 (pow.f64 (log.f64 y) 2)) x)
(*.f64 (pow.f64 (pow.f64 (log.f64 y) 2) 1/3) x)
(*.f64 (cbrt.f64 (pow.f64 (log.f64 y) 2)) x)
(*.f64 (pow.f64 (pow.f64 (log.f64 y) 2) 1/3) x)
(*.f64 (cbrt.f64 (pow.f64 (log.f64 y) 2)) x)
(*.f64 (pow.f64 (pow.f64 (log.f64 y) 2) 1/3) x)
(*.f64 (cbrt.f64 (pow.f64 (log.f64 y) 2)) x)
(*.f64 (pow.f64 (pow.f64 (log.f64 y) 2) 1/3) x)
(*.f64 (cbrt.f64 (pow.f64 (log.f64 y) 2)) x)
(*.f64 (pow.f64 (pow.f64 (log.f64 y) 2) 1/3) x)
(*.f64 (cbrt.f64 (pow.f64 (log.f64 y) 2)) x)
(*.f64 (pow.f64 (pow.f64 (log.f64 y) 2) 1/3) x)
(*.f64 (cbrt.f64 (pow.f64 (log.f64 y) 2)) x)
(*.f64 (pow.f64 (pow.f64 (log.f64 y) 2) 1/3) x)
(*.f64 (cbrt.f64 (pow.f64 (log.f64 y) 2)) x)
(*.f64 (pow.f64 (pow.f64 (log.f64 y) 2) 1/3) x)
(*.f64 (cbrt.f64 (pow.f64 (log.f64 y) 2)) x)
(*.f64 (pow.f64 (pow.f64 (log.f64 y) 2) 1/3) x)
(*.f64 (cbrt.f64 (pow.f64 (log.f64 y) 2)) x)
(*.f64 (pow.f64 (pow.f64 (log.f64 y) 2) 1/3) x)
(*.f64 (cbrt.f64 (pow.f64 (log.f64 y) 2)) x)
(*.f64 (pow.f64 (pow.f64 (log.f64 y) 2) 1/3) x)
(*.f64 (cbrt.f64 (pow.f64 (log.f64 y) 2)) x)
(*.f64 (pow.f64 (pow.f64 (log.f64 y) 2) 1/3) x)
(*.f64 (cbrt.f64 (pow.f64 (log.f64 y) 2)) x)
(*.f64 x (pow.f64 (pow.f64 (log.f64 (/.f64 1 y)) 2) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 y) 2)) x)
(*.f64 x (pow.f64 (pow.f64 (log.f64 (/.f64 1 y)) 2) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 y) 2)) x)
(*.f64 x (pow.f64 (pow.f64 (log.f64 (/.f64 1 y)) 2) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 y) 2)) x)
(*.f64 x (pow.f64 (pow.f64 (log.f64 (/.f64 1 y)) 2) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 y) 2)) x)
(*.f64 (pow.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) 2) 1/3) x)
(*.f64 (cbrt.f64 (pow.f64 (log.f64 y) 2)) x)
(*.f64 (pow.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) 2) 1/3) x)
(*.f64 (cbrt.f64 (pow.f64 (log.f64 y) 2)) x)
(*.f64 (pow.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) 2) 1/3) x)
(*.f64 (cbrt.f64 (pow.f64 (log.f64 y) 2)) x)
(*.f64 (pow.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) 2) 1/3) x)
(*.f64 (cbrt.f64 (pow.f64 (log.f64 y) 2)) x)

prune120.0ms (3.8%)

Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New89392
Fresh336
Picked011
Done011
Total928100
Error
0b
Counts
100 → 8
Alt Table
StatusErrorProgram
0.6b
(-.f64 (pow.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t))) 3) (+.f64 y z))
0.4b
(fma.f64 (*.f64 x (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 y))) 2) (cbrt.f64 (cbrt.f64 (pow.f64 (log.f64 y) 4))))) (cbrt.f64 (log.f64 y)) (-.f64 (log.f64 t) (+.f64 y z)))
22.3b
(-.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (log.f64 y)) 3) (pow.f64 (log.f64 t) 3)) (fma.f64 (*.f64 x (log.f64 y)) (*.f64 x (log.f64 y)) (-.f64 (pow.f64 (log.f64 t) 2) (*.f64 (*.f64 x (log.f64 y)) (log.f64 t))))) (+.f64 y z))
0.3b
(fma.f64 (*.f64 x (pow.f64 (pow.f64 (log.f64 y) 2) 1/3)) (cbrt.f64 (log.f64 y)) (-.f64 (log.f64 t) (+.f64 y z)))
0.4b
(fma.f64 (*.f64 x (expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2)))) (cbrt.f64 (log.f64 y)) (-.f64 (log.f64 t) (+.f64 y z)))
0.2b
(fma.f64 (*.f64 x (cbrt.f64 (pow.f64 (log.f64 y) 2))) (cbrt.f64 (log.f64 y)) (-.f64 (log.f64 t) (+.f64 y z)))
16.4b
(-.f64 (*.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t))) (cbrt.f64 (pow.f64 (fma.f64 x (log.f64 y) (log.f64 t)) 2))) (+.f64 y z))
0.1b
(-.f64 (fma.f64 x (log.f64 y) (log.f64 t)) (+.f64 y z))
Compiler

Compiled 2260 to 912 computations (59.6% saved)

localize15.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.3b
(*.f64 x (pow.f64 (pow.f64 (log.f64 y) 2) 1/3))
0.5b
(cbrt.f64 (log.f64 y))
0.5b
(pow.f64 (log.f64 y) 2)
1.2b
(pow.f64 (pow.f64 (log.f64 y) 2) 1/3)

series2.0ms (0.1%)

Counts
2 → 32
Calls

9 calls:

TimeVariablePointExpression
0.0ms
y
@0
(pow.f64 (pow.f64 (log.f64 y) 2) 1/3)
0.0ms
x
@0
(*.f64 x (pow.f64 (pow.f64 (log.f64 y) 2) 1/3))
0.0ms
y
@-inf
(pow.f64 (pow.f64 (log.f64 y) 2) 1/3)
0.0ms
y
@-inf
(*.f64 x (pow.f64 (pow.f64 (log.f64 y) 2) 1/3))
0.0ms
y
@inf
(pow.f64 (pow.f64 (log.f64 y) 2) 1/3)

rewrite44.0ms (1.4%)

Algorithm
batch-egg-rewrite
Rules
721×pow1_binary64
670×add-log-exp_binary64
670×log1p-expm1-u_binary64
670×expm1-log1p-u_binary64
85×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0919
118919
2195019
Stop Event
node limit
Counts
2 → 32
Calls
Call 1
Inputs
(pow.f64 (pow.f64 (log.f64 y) 2) 1/3)
(*.f64 x (pow.f64 (pow.f64 (log.f64 y) 2) 1/3))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (pow.f64 (log.f64 y) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (log.f64 y) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (pow.f64 (log.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 y)) (cbrt.f64 (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (log.f64 y) 2))) (cbrt.f64 (cbrt.f64 (pow.f64 (log.f64 y) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (log.f64 y) 4))) (cbrt.f64 (cbrt.f64 (pow.f64 (log.f64 y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 2/3) (cbrt.f64 (pow.f64 (log.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (log.f64 y) 2)) 2/3) (pow.f64 (cbrt.f64 (log.f64 y)) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (log.f64 y)) 2/3) (pow.f64 (sqrt.f64 (log.f64 y)) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (pow.f64 (log.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (log.f64 y) 4)) 1/3) (cbrt.f64 (cbrt.f64 (pow.f64 (log.f64 y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 (pow.f64 (log.f64 y) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (pow.f64 (log.f64 y) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (pow.f64 (log.f64 y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (pow.f64 (log.f64 y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (log.f64 y)) 2/3))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (cbrt.f64 (pow.f64 (log.f64 y) 2)) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cbrt.f64 (pow.f64 (log.f64 y) 2)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (cbrt.f64 (pow.f64 (log.f64 y) 2)) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (cbrt.f64 (pow.f64 (log.f64 y) 2)) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cbrt.f64 (log.f64 y)) (sqrt.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 x x) (cbrt.f64 (pow.f64 (log.f64 y) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (cbrt.f64 (pow.f64 (log.f64 y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (cbrt.f64 (pow.f64 (log.f64 y) 2)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (cbrt.f64 (pow.f64 (log.f64 y) 2)) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (log.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (cbrt.f64 (pow.f64 (log.f64 y) 2)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (cbrt.f64 (pow.f64 (log.f64 y) 2)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 (log.f64 y)) 2/3)))))))

simplify37.0ms (1.1%)

Algorithm
egg-herbie
Rules
650×fma-neg_binary64
590×associate-*l*_binary64
545×unswap-sqr_binary64
428×fma-def_binary64
240×unsub-neg_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
023344
155328
297328
3276328
4947328
53635328
Stop Event
node limit
Counts
64 → 38
Calls
Call 1
Inputs
(pow.f64 (pow.f64 (log.f64 (/.f64 1 y)) 2) 1/3)
(pow.f64 (pow.f64 (log.f64 (/.f64 1 y)) 2) 1/3)
(pow.f64 (pow.f64 (log.f64 (/.f64 1 y)) 2) 1/3)
(pow.f64 (pow.f64 (log.f64 (/.f64 1 y)) 2) 1/3)
(pow.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) 2) 1/3)
(pow.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) 2) 1/3)
(pow.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) 2) 1/3)
(pow.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) 2) 1/3)
(*.f64 (pow.f64 (pow.f64 (log.f64 y) 2) 1/3) x)
(*.f64 (pow.f64 (pow.f64 (log.f64 y) 2) 1/3) x)
(*.f64 (pow.f64 (pow.f64 (log.f64 y) 2) 1/3) x)
(*.f64 (pow.f64 (pow.f64 (log.f64 y) 2) 1/3) x)
(*.f64 (pow.f64 (pow.f64 (log.f64 y) 2) 1/3) x)
(*.f64 (pow.f64 (pow.f64 (log.f64 y) 2) 1/3) x)
(*.f64 (pow.f64 (pow.f64 (log.f64 y) 2) 1/3) x)
(*.f64 (pow.f64 (pow.f64 (log.f64 y) 2) 1/3) x)
(*.f64 (pow.f64 (pow.f64 (log.f64 y) 2) 1/3) x)
(*.f64 (pow.f64 (pow.f64 (log.f64 y) 2) 1/3) x)
(*.f64 (pow.f64 (pow.f64 (log.f64 y) 2) 1/3) x)
(*.f64 (pow.f64 (pow.f64 (log.f64 y) 2) 1/3) x)
(*.f64 (pow.f64 (pow.f64 (log.f64 y) 2) 1/3) x)
(*.f64 (pow.f64 (pow.f64 (log.f64 y) 2) 1/3) x)
(*.f64 (pow.f64 (pow.f64 (log.f64 y) 2) 1/3) x)
(*.f64 (pow.f64 (pow.f64 (log.f64 y) 2) 1/3) x)
(*.f64 x (pow.f64 (pow.f64 (log.f64 (/.f64 1 y)) 2) 1/3))
(*.f64 x (pow.f64 (pow.f64 (log.f64 (/.f64 1 y)) 2) 1/3))
(*.f64 x (pow.f64 (pow.f64 (log.f64 (/.f64 1 y)) 2) 1/3))
(*.f64 x (pow.f64 (pow.f64 (log.f64 (/.f64 1 y)) 2) 1/3))
(*.f64 (pow.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) 2) 1/3) x)
(*.f64 (pow.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) 2) 1/3) x)
(*.f64 (pow.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) 2) 1/3) x)
(*.f64 (pow.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) 2) 1/3) x)
Outputs
(pow.f64 (pow.f64 (log.f64 (/.f64 1 y)) 2) 1/3)
(cbrt.f64 (pow.f64 (neg.f64 (log.f64 y)) 2))
(cbrt.f64 (pow.f64 (log.f64 y) 2))
(pow.f64 (pow.f64 (log.f64 (/.f64 1 y)) 2) 1/3)
(cbrt.f64 (pow.f64 (neg.f64 (log.f64 y)) 2))
(cbrt.f64 (pow.f64 (log.f64 y) 2))
(pow.f64 (pow.f64 (log.f64 (/.f64 1 y)) 2) 1/3)
(cbrt.f64 (pow.f64 (neg.f64 (log.f64 y)) 2))
(cbrt.f64 (pow.f64 (log.f64 y) 2))
(pow.f64 (pow.f64 (log.f64 (/.f64 1 y)) 2) 1/3)
(cbrt.f64 (pow.f64 (neg.f64 (log.f64 y)) 2))
(cbrt.f64 (pow.f64 (log.f64 y) 2))
(pow.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) 2) 1/3)
(cbrt.f64 (pow.f64 (neg.f64 (log.f64 y)) 2))
(cbrt.f64 (pow.f64 (log.f64 y) 2))
(pow.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) 2) 1/3)
(cbrt.f64 (pow.f64 (neg.f64 (log.f64 y)) 2))
(cbrt.f64 (pow.f64 (log.f64 y) 2))
(pow.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) 2) 1/3)
(cbrt.f64 (pow.f64 (neg.f64 (log.f64 y)) 2))
(cbrt.f64 (pow.f64 (log.f64 y) 2))
(pow.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) 2) 1/3)
(cbrt.f64 (pow.f64 (neg.f64 (log.f64 y)) 2))
(cbrt.f64 (pow.f64 (log.f64 y) 2))
(*.f64 (pow.f64 (pow.f64 (log.f64 y) 2) 1/3) x)
(*.f64 (cbrt.f64 (pow.f64 (log.f64 y) 2)) x)
(*.f64 (pow.f64 (pow.f64 (log.f64 y) 2) 1/3) x)
(*.f64 (cbrt.f64 (pow.f64 (log.f64 y) 2)) x)
(*.f64 (pow.f64 (pow.f64 (log.f64 y) 2) 1/3) x)
(*.f64 (cbrt.f64 (pow.f64 (log.f64 y) 2)) x)
(*.f64 (pow.f64 (pow.f64 (log.f64 y) 2) 1/3) x)
(*.f64 (cbrt.f64 (pow.f64 (log.f64 y) 2)) x)
(*.f64 (pow.f64 (pow.f64 (log.f64 y) 2) 1/3) x)
(*.f64 (cbrt.f64 (pow.f64 (log.f64 y) 2)) x)
(*.f64 (pow.f64 (pow.f64 (log.f64 y) 2) 1/3) x)
(*.f64 (cbrt.f64 (pow.f64 (log.f64 y) 2)) x)
(*.f64 (pow.f64 (pow.f64 (log.f64 y) 2) 1/3) x)
(*.f64 (cbrt.f64 (pow.f64 (log.f64 y) 2)) x)
(*.f64 (pow.f64 (pow.f64 (log.f64 y) 2) 1/3) x)
(*.f64 (cbrt.f64 (pow.f64 (log.f64 y) 2)) x)
(*.f64 (pow.f64 (pow.f64 (log.f64 y) 2) 1/3) x)
(*.f64 (cbrt.f64 (pow.f64 (log.f64 y) 2)) x)
(*.f64 (pow.f64 (pow.f64 (log.f64 y) 2) 1/3) x)
(*.f64 (cbrt.f64 (pow.f64 (log.f64 y) 2)) x)
(*.f64 (pow.f64 (pow.f64 (log.f64 y) 2) 1/3) x)
(*.f64 (cbrt.f64 (pow.f64 (log.f64 y) 2)) x)
(*.f64 (pow.f64 (pow.f64 (log.f64 y) 2) 1/3) x)
(*.f64 (cbrt.f64 (pow.f64 (log.f64 y) 2)) x)
(*.f64 (pow.f64 (pow.f64 (log.f64 y) 2) 1/3) x)
(*.f64 (cbrt.f64 (pow.f64 (log.f64 y) 2)) x)
(*.f64 (pow.f64 (pow.f64 (log.f64 y) 2) 1/3) x)
(*.f64 (cbrt.f64 (pow.f64 (log.f64 y) 2)) x)
(*.f64 (pow.f64 (pow.f64 (log.f64 y) 2) 1/3) x)
(*.f64 (cbrt.f64 (pow.f64 (log.f64 y) 2)) x)
(*.f64 (pow.f64 (pow.f64 (log.f64 y) 2) 1/3) x)
(*.f64 (cbrt.f64 (pow.f64 (log.f64 y) 2)) x)
(*.f64 x (pow.f64 (pow.f64 (log.f64 (/.f64 1 y)) 2) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 y) 2)) x)
(*.f64 x (pow.f64 (pow.f64 (log.f64 (/.f64 1 y)) 2) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 y) 2)) x)
(*.f64 x (pow.f64 (pow.f64 (log.f64 (/.f64 1 y)) 2) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 y) 2)) x)
(*.f64 x (pow.f64 (pow.f64 (log.f64 (/.f64 1 y)) 2) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 y) 2)) x)
(*.f64 (pow.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) 2) 1/3) x)
(*.f64 (cbrt.f64 (pow.f64 (log.f64 y) 2)) x)
(*.f64 (pow.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) 2) 1/3) x)
(*.f64 (cbrt.f64 (pow.f64 (log.f64 y) 2)) x)
(*.f64 (pow.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) 2) 1/3) x)
(*.f64 (cbrt.f64 (pow.f64 (log.f64 y) 2)) x)
(*.f64 (pow.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) 2) 1/3) x)
(*.f64 (cbrt.f64 (pow.f64 (log.f64 y) 2)) x)

prune112.0ms (3.5%)

Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New85186
Fresh145
Picked011
Done022
Total86894
Error
0b
Counts
94 → 8
Alt Table
StatusErrorProgram
0.6b
(-.f64 (pow.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t))) 3) (+.f64 y z))
0.4b
(fma.f64 (*.f64 x (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 y))) 2) (cbrt.f64 (cbrt.f64 (pow.f64 (log.f64 y) 4))))) (cbrt.f64 (log.f64 y)) (-.f64 (log.f64 t) (+.f64 y z)))
22.3b
(-.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (log.f64 y)) 3) (pow.f64 (log.f64 t) 3)) (fma.f64 (*.f64 x (log.f64 y)) (*.f64 x (log.f64 y)) (-.f64 (pow.f64 (log.f64 t) 2) (*.f64 (*.f64 x (log.f64 y)) (log.f64 t))))) (+.f64 y z))
0.3b
(fma.f64 (*.f64 x (pow.f64 (pow.f64 (log.f64 y) 2) 1/3)) (cbrt.f64 (log.f64 y)) (-.f64 (log.f64 t) (+.f64 y z)))
0.4b
(fma.f64 (*.f64 x (expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2)))) (cbrt.f64 (log.f64 y)) (-.f64 (log.f64 t) (+.f64 y z)))
0.2b
(fma.f64 (*.f64 x (cbrt.f64 (pow.f64 (log.f64 y) 2))) (cbrt.f64 (log.f64 y)) (-.f64 (log.f64 t) (+.f64 y z)))
0.3b
(fma.f64 (*.f64 x (expm1.f64 (log1p.f64 (cbrt.f64 (pow.f64 (log.f64 y) 2))))) (cbrt.f64 (log.f64 y)) (-.f64 (log.f64 t) (+.f64 y z)))
0.1b
(-.f64 (fma.f64 x (log.f64 y) (log.f64 t)) (+.f64 y z))
Compiler

Compiled 2161 to 946 computations (56.2% saved)

localize18.0ms (0.6%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.5b
(cbrt.f64 (log.f64 y))
0.5b
(cbrt.f64 (pow.f64 (log.f64 y) 2))
0.5b
(pow.f64 (log.f64 y) 2)
0.9b
(expm1.f64 (log1p.f64 (cbrt.f64 (pow.f64 (log.f64 y) 2))))

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
0.0ms
y
@0
(expm1.f64 (log1p.f64 (cbrt.f64 (pow.f64 (log.f64 y) 2))))
0.0ms
y
@-inf
(expm1.f64 (log1p.f64 (cbrt.f64 (pow.f64 (log.f64 y) 2))))
0.0ms
y
@inf
(expm1.f64 (log1p.f64 (cbrt.f64 (pow.f64 (log.f64 y) 2))))

rewrite33.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
521×pow1_binary64
484×expm1-log1p-u_binary64
483×add-log-exp_binary64
483×log1p-expm1-u_binary64
470×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
088
11398
214288
Stop Event
node limit
Counts
1 → 21
Calls
Call 1
Inputs
(expm1.f64 (log1p.f64 (cbrt.f64 (pow.f64 (log.f64 y) 2))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (cbrt.f64 (log.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2)) (cbrt.f64 (cbrt.f64 (pow.f64 (log.f64 y) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (log.f64 y) 4))) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 y)) (cbrt.f64 (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (pow.f64 (cbrt.f64 (log.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (log.f64 y) 4)) 1/3) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2) 1) 3) 1) (+.f64 (*.f64 (+.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2) 1) (+.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2) 1)) (+.f64 1 (*.f64 (+.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2) 1) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2) 1) (+.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2) 1)) 1) (+.f64 (+.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 y) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 y) 2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 (pow.f64 (log.f64 y) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2)))))))

simplify30.0ms (1%)

Algorithm
egg-herbie
Rules
667×fma-neg_binary64
545×unswap-sqr_binary64
502×associate-*l*_binary64
428×fma-def_binary64
240×unsub-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01996
14896
28296
324096
486196
5344596
Stop Event
node limit
Counts
33 → 23
Calls
Call 1
Inputs
(pow.f64 (pow.f64 (log.f64 y) 2) 1/3)
(pow.f64 (pow.f64 (log.f64 y) 2) 1/3)
(pow.f64 (pow.f64 (log.f64 y) 2) 1/3)
(pow.f64 (pow.f64 (log.f64 y) 2) 1/3)
(pow.f64 (pow.f64 (log.f64 (/.f64 1 y)) 2) 1/3)
(pow.f64 (pow.f64 (log.f64 (/.f64 1 y)) 2) 1/3)
(pow.f64 (pow.f64 (log.f64 (/.f64 1 y)) 2) 1/3)
(pow.f64 (pow.f64 (log.f64 (/.f64 1 y)) 2) 1/3)
(pow.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) 2) 1/3)
(pow.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) 2) 1/3)
(pow.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) 2) 1/3)
(pow.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) 2) 1/3)
Outputs
(pow.f64 (pow.f64 (log.f64 y) 2) 1/3)
(cbrt.f64 (pow.f64 (log.f64 y) 2))
(pow.f64 (pow.f64 (log.f64 y) 2) 1/3)
(cbrt.f64 (pow.f64 (log.f64 y) 2))
(pow.f64 (pow.f64 (log.f64 y) 2) 1/3)
(cbrt.f64 (pow.f64 (log.f64 y) 2))
(pow.f64 (pow.f64 (log.f64 y) 2) 1/3)
(cbrt.f64 (pow.f64 (log.f64 y) 2))
(pow.f64 (pow.f64 (log.f64 (/.f64 1 y)) 2) 1/3)
(cbrt.f64 (pow.f64 (log.f64 y) 2))
(pow.f64 (pow.f64 (log.f64 (/.f64 1 y)) 2) 1/3)
(cbrt.f64 (pow.f64 (log.f64 y) 2))
(pow.f64 (pow.f64 (log.f64 (/.f64 1 y)) 2) 1/3)
(cbrt.f64 (pow.f64 (log.f64 y) 2))
(pow.f64 (pow.f64 (log.f64 (/.f64 1 y)) 2) 1/3)
(cbrt.f64 (pow.f64 (log.f64 y) 2))
(pow.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) 2) 1/3)
(cbrt.f64 (pow.f64 (log.f64 y) 2))
(pow.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) 2) 1/3)
(cbrt.f64 (pow.f64 (log.f64 y) 2))
(pow.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) 2) 1/3)
(cbrt.f64 (pow.f64 (log.f64 y) 2))
(pow.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) 2) 1/3)
(cbrt.f64 (pow.f64 (log.f64 y) 2))

prune140.0ms (4.4%)

Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New97097
Fresh044
Picked011
Done033
Total978105
Error
0b
Counts
105 → 8
Alt Table
StatusErrorProgram
0.6b
(-.f64 (pow.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t))) 3) (+.f64 y z))
0.4b
(fma.f64 (*.f64 x (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 y))) 2) (cbrt.f64 (cbrt.f64 (pow.f64 (log.f64 y) 4))))) (cbrt.f64 (log.f64 y)) (-.f64 (log.f64 t) (+.f64 y z)))
22.3b
(-.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (log.f64 y)) 3) (pow.f64 (log.f64 t) 3)) (fma.f64 (*.f64 x (log.f64 y)) (*.f64 x (log.f64 y)) (-.f64 (pow.f64 (log.f64 t) 2) (*.f64 (*.f64 x (log.f64 y)) (log.f64 t))))) (+.f64 y z))
0.3b
(fma.f64 (*.f64 x (pow.f64 (pow.f64 (log.f64 y) 2) 1/3)) (cbrt.f64 (log.f64 y)) (-.f64 (log.f64 t) (+.f64 y z)))
0.4b
(fma.f64 (*.f64 x (expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2)))) (cbrt.f64 (log.f64 y)) (-.f64 (log.f64 t) (+.f64 y z)))
0.2b
(fma.f64 (*.f64 x (cbrt.f64 (pow.f64 (log.f64 y) 2))) (cbrt.f64 (log.f64 y)) (-.f64 (log.f64 t) (+.f64 y z)))
0.3b
(fma.f64 (*.f64 x (expm1.f64 (log1p.f64 (cbrt.f64 (pow.f64 (log.f64 y) 2))))) (cbrt.f64 (log.f64 y)) (-.f64 (log.f64 t) (+.f64 y z)))
0.1b
(-.f64 (fma.f64 x (log.f64 y) (log.f64 t)) (+.f64 y z))
Compiler

Compiled 2408 to 1036 computations (57% saved)

regimes239.0ms (7.5%)

Accuracy

Total 0.1b remaining (65.9%)

Threshold costs 0.1b (65.9%)

Counts
50 → 1
Compiler

Compiled 921 to 305 computations (66.9% saved)

simplify2.0ms (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
01015
11315
22215
33015
43515
53715
Stop Event
saturated
Calls
Call 1
Inputs
(-.f64 (fma.f64 x (log.f64 y) (log.f64 t)) (+.f64 y z))
Outputs
(-.f64 (fma.f64 x (log.f64 y) (log.f64 t)) (+.f64 y z))

end137.0ms (4.3%)

Stop Event
fuel
Compiler

Compiled 218 to 138 computations (36.7% saved)

Profiling

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