Details

Time bar (total: 1.3s)

analyze211.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%74.9%25.1%3
0%74.9%25.1%4
0%62.4%37.6%5
0%56.2%43.8%6
7.8%48.4%43.8%7
12.5%40.6%47%8
18.3%33.2%48.5%9
25.2%26.3%48.5%10
29.7%21%49.3%11
32.6%17.7%49.7%12
36.7%13.6%49.7%13
39.4%10.7%49.9%14

sample25.0ms

Algorithm
intervals
Results
10.0ms256×body80valid
0.0msbody80invalid

simplify242.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (233.0ms)

IterNodesCost
0566012

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
19×associate--l+_binary64
18×log-prod_binary64
15×add-sqr-sqrt_binary64
13×*-un-lft-identity_binary64
11×add-cube-cbrt_binary64
10×add-log-exp_binary64
distribute-lft-in_binary64 distribute-rgt-in_binary64
pow1_binary64
add-exp-log_binary64 add-cbrt-cube_binary64
diff-log_binary64 associate-*r*_binary64
sub-neg_binary64 associate-*l*_binary64
flip3--_binary64 flip--_binary64
pow-prod-down_binary64 associate--l-_binary64 cbrt-unprod_binary64 log-pow_binary64 unswap-sqr_binary64 prod-exp_binary64 difference-of-squares_binary64 distribute-lft-out--_binary64 *-commutative_binary64
Counts
3 → 64
Calls
3 calls:
5.0ms
(-.f64 (*.f64 x (log.f64 y)) z)
8.0ms
(-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y)
4.0ms
(*.f64 x (log.f64 y))

series106.0ms

Counts
3 → 9
Calls
3 calls:
40.0ms
(-.f64 (*.f64 x (log.f64 y)) z)
32.0ms
(-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y)
35.0ms
(*.f64 x (log.f64 y))

simplify88.0ms

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 0 (72.0ms)

IterNodesCost
06165917

prune301.0ms

Filtered
52 candidates to 73 candidates (-40.4%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New64973
Fresh000
Picked101
Done000
Total65974

Merged error: 0.0b

Counts
74 → 9

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(-.f64 (*.f64 x (log.f64 (sqrt.f64 y))) (+.f64 y z))
0.0b
(+.f64 (*.f64 (log.f64 (sqrt.f64 y)) x) (-.f64 (*.f64 x (log.f64 (sqrt.f64 y))) (+.f64 y z)))
0.3b
(*.f64 x (log.f64 (sqrt.f64 y)))
0.3b
(*.f64 (log.f64 (sqrt.f64 y)) x)

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
36×log-prod_binary64
24×add-sqr-sqrt_binary64 associate--l+_binary64
20×*-un-lft-identity_binary64 add-cube-cbrt_binary64
18×add-log-exp_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64 sqrt-prod_binary64
13×associate-+r+_binary64
12×pow1_binary64
associate-*r*_binary64 associate-*l*_binary64
add-exp-log_binary64 add-cbrt-cube_binary64
log-pow_binary64
sum-log_binary64
diff-log_binary64
pow-prod-down_binary64 sub-neg_binary64 pow1/2_binary64 cbrt-unprod_binary64 sqrt-pow1_binary64 unswap-sqr_binary64 prod-exp_binary64 *-commutative_binary64
flip3-+_binary64 associate-+r-_binary64 associate--r+_binary64 flip3--_binary64 +-commutative_binary64 flip--_binary64 flip-+_binary64
Counts
4 → 106
Calls
4 calls:
8.0ms
(-.f64 (*.f64 x (log.f64 (sqrt.f64 y))) (+.f64 y z))
12.0ms
(+.f64 (*.f64 (log.f64 (sqrt.f64 y)) x) (-.f64 (*.f64 x (log.f64 (sqrt.f64 y))) (+.f64 y z)))
6.0ms
(*.f64 x (log.f64 (sqrt.f64 y)))
4.0ms
(*.f64 (log.f64 (sqrt.f64 y)) x)

series169.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(-.f64 (*.f64 x (log.f64 (sqrt.f64 y))) (+.f64 y z))
45.0ms
(+.f64 (*.f64 (log.f64 (sqrt.f64 y)) x) (-.f64 (*.f64 x (log.f64 (sqrt.f64 y))) (+.f64 y z)))
42.0ms
(*.f64 x (log.f64 (sqrt.f64 y)))
46.0ms
(*.f64 (log.f64 (sqrt.f64 y)) x)

simplify85.0ms

Algorithm
egg-herbie
Counts
118 → 118
Iterations

Useful iterations: 0 (61.0ms)

IterNodesCost
049821881
149821881

prune29.0ms

Filtered
86 candidates to 118 candidates (-37.2%)

Profiling

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