Details

Time bar (total: 2.3s)

analyze2.0ms (0.1%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
50%50%0%2
75%25%0%3
87.5%12.5%0%4
93.7%6.2%0%5
96.8%3.1%0%6
98.4%1.6%0%7
99.2%0.8%0%8
99.6%0.4%0%9
99.8%0.2%0%10
99.9%0.1%0%11
99.9%0%0%12
99.9%0%0%13
99.9%0%0%14

sample9.0ms (0.4%)

Algorithm
1×intervals
Results
4.0ms256×body80valid

simplify3.0ms (0.1%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
065
165

prune4.0ms (0.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b
(+ x (/ 1.0 3.0))

rewrite6.0ms (0.2%)

Algorithm
1×rewrite-expression-head
Rules
3×*-un-lft-identity add-log-exp
1×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt flip3-+ sum-log add-cbrt-cube flip-+ distribute-lft-out
Counts
1 → 12
Calls

1 calls:

5.0ms
(+ x (/ 1.0 3.0))

series2.0ms (0.1%)

Counts
1 → 3
Calls

1 calls:

2.0ms
(+ x (/ 1.0 3.0))

simplify60.0ms (2.6%)

Algorithm
1×egg-herbie
Counts
15 → 15
Iterations

Useful iterations: 0 (57.0ms)

IterNodesCost
04905108
14905108

prune30.0ms (1.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New13215
Fresh000
Picked011
Done000
Total13316

Merged error: 0.0b

Counts
16 → 3

localize7.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.3b
(cbrt (+ x (/ 1.0 3.0)))
0.3b
(cbrt (+ x (/ 1.0 3.0)))
0.3b
(cbrt (+ x (/ 1.0 3.0)))
0.8b
(* (cbrt (+ x (/ 1.0 3.0))) (cbrt (+ x (/ 1.0 3.0))))

rewrite37.0ms (1.6%)

Algorithm
1×rewrite-expression-head
Rules
36×cbrt-prod
35×*-un-lft-identity
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt
11×pow1
9×flip3-+ pow1/3 swap-sqr flip-+ distribute-lft-out
7×associate-*r* associate-*l*
6×add-exp-log
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 95
Calls

4 calls:

15.0ms
(* (cbrt (+ x (/ 1.0 3.0))) (cbrt (+ x (/ 1.0 3.0))))
8.0ms
(cbrt (+ x (/ 1.0 3.0)))
5.0ms
(cbrt (+ x (/ 1.0 3.0)))
5.0ms
(cbrt (+ x (/ 1.0 3.0)))

series25.0ms (1.1%)

Counts
4 → 12
Calls

4 calls:

7.0ms
(* (cbrt (+ x (/ 1.0 3.0))) (cbrt (+ x (/ 1.0 3.0))))
6.0ms
(cbrt (+ x (/ 1.0 3.0)))
6.0ms
(cbrt (+ x (/ 1.0 3.0)))
6.0ms
(cbrt (+ x (/ 1.0 3.0)))

simplify62.0ms (2.7%)

Algorithm
1×egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
048981337
148981337

prune301.0ms (13%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1061107
Fresh011
Picked101
Done011
Total1073110

Merged error: 0b

Counts
110 → 3

localize12.0ms (0.5%)

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ 1.0 3.0))
0.0b
(+ x (/ 1.0 3.0))
0.2b
(* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))))

rewrite38.0ms (1.6%)

Algorithm
1×rewrite-expression-head
Rules
29×*-un-lft-identity
26×sqrt-prod
23×add-sqr-sqrt
18×pow1
12×sqrt-div
11×add-cube-cbrt swap-sqr
8×sqrt-pow1 flip3-+ pow1/2 flip-+ distribute-lft-out
7×associate-*r* associate-*l* add-log-exp
5×add-exp-log pow-prod-up add-cbrt-cube
4×frac-times unswap-sqr
3×pow-prod-down pow-sqr
2×+-commutative associate-*r/ associate-*l/ sum-log
1×pow2 pow-plus sqrt-unprod prod-exp rem-square-sqrt *-commutative cbrt-unprod
Counts
3 → 86
Calls

3 calls:

24.0ms
(* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))))
6.0ms
(+ x (/ 1.0 3.0))
5.0ms
(+ x (/ 1.0 3.0))

series7.0ms (0.3%)

Counts
3 → 9
Calls

3 calls:

3.0ms
(* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))))
2.0ms
(+ x (/ 1.0 3.0))
2.0ms
(+ x (/ 1.0 3.0))

simplify51.0ms (2.2%)

Algorithm
1×egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
05121783

prune176.0ms (7.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New95095
Fresh011
Picked011
Done011
Total95398

Merged error: 0b

Counts
98 → 3

localize12.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.2b
(cbrt (sqrt (+ x (/ 1.0 3.0))))
0.2b
(cbrt (sqrt (+ x (/ 1.0 3.0))))
0.3b
(cbrt (+ x (/ 1.0 3.0)))
0.6b
(* (* (cbrt (sqrt (+ x (/ 1.0 3.0)))) (cbrt (sqrt (+ x (/ 1.0 3.0))))) (* (cbrt (sqrt (+ x (/ 1.0 3.0)))) (cbrt (sqrt (+ x (/ 1.0 3.0))))))

rewrite74.0ms (3.2%)

Algorithm
1×rewrite-expression-head
Rules
222×cbrt-div
220×sqrt-div
136×frac-times
115×pow1
111×flip3-+ flip-+
49×pow-prod-up
47×pow1/3
44×associate-*r/ associate-*l/
33×pow-sqr
32×pow-prod-down
18×cbrt-prod pow-plus
16×add-exp-log
15×*-un-lft-identity
13×pow2
9×add-sqr-sqrt add-cube-cbrt
8×prod-exp sqrt-prod add-cbrt-cube cbrt-unprod
4×add-log-exp
3×distribute-lft-out
1×swap-sqr associate-*r* associate-*l* *-commutative unswap-sqr
Counts
4 → 202
Calls

4 calls:

40.0ms
(* (* (cbrt (sqrt (+ x (/ 1.0 3.0)))) (cbrt (sqrt (+ x (/ 1.0 3.0))))) (* (cbrt (sqrt (+ x (/ 1.0 3.0)))) (cbrt (sqrt (+ x (/ 1.0 3.0))))))
6.0ms
(cbrt (sqrt (+ x (/ 1.0 3.0))))
6.0ms
(cbrt (sqrt (+ x (/ 1.0 3.0))))
5.0ms
(cbrt (+ x (/ 1.0 3.0)))

series32.0ms (1.4%)

Counts
4 → 12
Calls

4 calls:

12.0ms
(cbrt (sqrt (+ x (/ 1.0 3.0))))
8.0ms
(* (* (cbrt (sqrt (+ x (/ 1.0 3.0)))) (cbrt (sqrt (+ x (/ 1.0 3.0))))) (* (cbrt (sqrt (+ x (/ 1.0 3.0)))) (cbrt (sqrt (+ x (/ 1.0 3.0))))))
6.0ms
(cbrt (+ x (/ 1.0 3.0)))
6.0ms
(cbrt (sqrt (+ x (/ 1.0 3.0))))

simplify62.0ms (2.7%)

Algorithm
1×egg-herbie
Counts
214 → 214
Iterations

Useful iterations: 0 (33.0ms)

IterNodesCost
051345112

prune1.0s (44.5%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New2140214
Fresh000
Picked011
Done022
Total2143217

Merged error: 0b

Counts
217 → 3

regimes58.0ms (2.5%)

Accuracy

Total 0.0b remaining (27.9%)

Threshold costs 0.0b (27.9%)

bsearch0.0ms (0%)

simplify1.0ms (0%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
065
165

end0.0ms (0%)

sample209.0ms (9.1%)

Algorithm
1×intervals
Results
127.0ms8000×body80valid

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