Details

Time bar (total: 2.2s)

analyze196.0ms (9%)

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

sample18.0ms (0.9%)

Algorithm
intervals
Results
9.0ms256×body80valid
0.0msbody80nan
0.0msbody80invalid

simplify213.0ms (9.8%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (211.0ms)

IterNodesCost
055418

prune6.0ms (0.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 1

localize7.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.3b
(* x (log y))

rewrite8.0ms (0.3%)

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt
log-prod
add-cube-cbrt *-un-lft-identity
pow1 associate-*r*
add-exp-log distribute-rgt-in distribute-lft-in associate-*l* add-cbrt-cube
pow-prod-down prod-exp log-pow *-commutative cbrt-unprod add-log-exp unswap-sqr
Counts
1 → 25
Calls

1 calls:

6.0ms
(* x (log y))

series15.0ms (0.7%)

Counts
1 → 3
Calls

1 calls:

15.0ms
(* x (log y))

simplify56.0ms (2.6%)

Algorithm
egg-herbie
Counts
28 → 28
Iterations

Useful iterations: 0 (53.0ms)

IterNodesCost
04830169
14830169

prune52.0ms (2.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New25328
Fresh000
Picked011
Done000
Total25429

Merged error: 0.0b

Counts
29 → 4

localize12.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.3b
(* x (* (log (cbrt y)) 2))
0.3b
(* x (log (cbrt y)))
0.5b
(cbrt y)
0.5b
(cbrt y)

rewrite17.0ms (0.8%)

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
13×add-cube-cbrt *-un-lft-identity
12×pow1 cbrt-prod log-prod
11×add-exp-log add-cbrt-cube
distribute-rgt-in distribute-lft-in associate-*r* associate-*l*
pow-prod-down prod-exp cbrt-unprod add-log-exp
pow1/3
log-pow *-commutative
unswap-sqr
Counts
4 → 72
Calls

4 calls:

7.0ms
(* x (log (cbrt y)))
5.0ms
(* x (* (log (cbrt y)) 2))
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series86.0ms (4%)

Counts
4 → 12
Calls

4 calls:

23.0ms
(cbrt y)
23.0ms
(* x (* (log (cbrt y)) 2))
21.0ms
(cbrt y)
19.0ms
(* x (log (cbrt y)))

simplify60.0ms (2.8%)

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
04946524
14946524

prune133.0ms (6.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New80484
Fresh112
Picked101
Done011
Total82688

Merged error: 0b

Counts
88 → 6

localize16.0ms (0.7%)

Local error

Found 4 expressions with local error:

0.3b
(* x (* (log (cbrt y)) 2))
0.4b
(* x 1/3)
0.4b
(* (* x 1/3) (log y))
0.5b
(cbrt y)

rewrite19.0ms (0.9%)

Algorithm
rewrite-expression-head
Rules
17×pow1
16×add-exp-log add-cbrt-cube
13×add-sqr-sqrt
11×add-cube-cbrt *-un-lft-identity
associate-*r*
associate-*l* pow-prod-down prod-exp cbrt-unprod
log-prod
add-log-exp
cbrt-prod distribute-rgt-in distribute-lft-in *-commutative
pow1/3 log-pow unswap-sqr
Counts
4 → 72
Calls

4 calls:

7.0ms
(* (* x 1/3) (log y))
5.0ms
(* x (* (log (cbrt y)) 2))
3.0ms
(* x 1/3)
1.0ms
(cbrt y)

series51.0ms (2.4%)

Counts
4 → 12
Calls

4 calls:

21.0ms
(cbrt y)
20.0ms
(* x (* (log (cbrt y)) 2))
8.0ms
(* (* x 1/3) (log y))
2.0ms
(* x 1/3)

simplify70.0ms (3.2%)

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 0 (64.0ms)

IterNodesCost
04894477
14894477

prune127.0ms (5.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New84084
Fresh044
Picked011
Done011
Total84690

Merged error: 0b

Counts
90 → 6

localize17.0ms (0.8%)

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (sqrt y)) (cbrt (sqrt y)))
0.5b
(cbrt y)
0.6b
(cbrt (sqrt y))
0.6b
(cbrt (sqrt y))

rewrite15.0ms (0.7%)

Algorithm
rewrite-expression-head
Rules
55×cbrt-prod
43×add-sqr-sqrt
26×sqrt-prod
21×add-cube-cbrt *-un-lft-identity
11×pow1 swap-sqr
pow1/3 associate-*r* associate-*l* unswap-sqr
add-exp-log
add-cbrt-cube add-log-exp
pow-prod-down pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 95
Calls

4 calls:

7.0ms
(* (cbrt (sqrt y)) (cbrt (sqrt y)))
2.0ms
(cbrt (sqrt y))
2.0ms
(cbrt (sqrt y))
1.0ms
(cbrt y)

series70.0ms (3.2%)

Counts
4 → 12
Calls

4 calls:

21.0ms
(cbrt y)
17.0ms
(cbrt (sqrt y))
16.0ms
(* (cbrt (sqrt y)) (cbrt (sqrt y)))
16.0ms
(cbrt (sqrt y))

simplify39.0ms (1.8%)

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 0 (32.0ms)

IterNodesCost
05072685

prune146.0ms (6.7%)

Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New1070107
Fresh033
Picked011
Done022
Total1076113

Merged error: 0b

Counts
113 → 6

regimes237.0ms (10.9%)

Accuracy

Total 0.1b remaining (80.7%)

Threshold costs 0.1b (80.7%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0268
1268

end0.0ms (0%)

sample479.0ms (22.1%)

Algorithm
intervals
Results
302.0ms7998×body80valid
1.0ms39×body80invalid
1.0ms33×body80nan
0.0msbody1280valid
0.0msbody640valid

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