Details

Time bar (total: 2.7s)

analyze17.0ms (0.7%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
50%50%0.1%3
74.9%25%0.1%4
74.9%25%0.1%5
87.4%12.5%0.1%6
87.4%12.5%0.1%7
93.7%6.2%0.1%8
93.7%6.2%0.1%9
96.8%3.1%0.1%10
96.8%3.1%0.1%11
98.3%1.6%0.1%12
98.3%1.6%0.1%13
99.1%0.8%0.1%14

sample13.0ms (0.5%)

Algorithm
1×intervals
Results
5.0ms226×body80valid
1.0ms13×body1280valid
1.0ms5×body2560valid
0.0ms6×body640valid
0.0ms5×body320valid
0.0ms1×body160valid

simplify16.0ms (0.6%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (14.0ms)

IterNodesCost
02977
12977

prune5.0ms (0.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 1

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b
(- x (* (/ 3.0 8.0) y))

rewrite3.0ms (0.1%)

Algorithm
1×rewrite-expression-head
Rules
3×add-log-exp
1×pow1 add-exp-log add-sqr-sqrt add-cube-cbrt sub-neg flip3-- *-un-lft-identity diff-log add-cbrt-cube flip--
Counts
1 → 11
Calls

1 calls:

3.0ms
(- x (* (/ 3.0 8.0) y))

series4.0ms (0.2%)

Counts
1 → 3
Calls

1 calls:

4.0ms
(- x (* (/ 3.0 8.0) y))

simplify37.0ms (1.4%)

Algorithm
1×egg-herbie
Counts
14 → 14
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
04999145
14999145

prune33.0ms (1.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New11314
Fresh000
Picked011
Done000
Total11415

Merged error: 0.1b

Counts
15 → 4

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))
0.5b
(cbrt (- x (* (/ 3.0 8.0) y)))
0.5b
(cbrt (- x (* (/ 3.0 8.0) y)))
0.5b
(cbrt (- x (* (/ 3.0 8.0) y)))

rewrite18.0ms (0.7%)

Algorithm
1×rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×flip3-- pow1/3 flip--
6×add-exp-log swap-sqr associate-*r* associate-*l*
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 → 87
Calls

4 calls:

8.0ms
(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))
3.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
3.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
2.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))

series147.0ms (5.5%)

Counts
4 → 12
Calls

4 calls:

39.0ms
(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))
37.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
36.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
34.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))

simplify43.0ms (1.6%)

Algorithm
1×egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 0 (33.0ms)

IterNodesCost
051971428

prune307.0ms (11.5%)

Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New90999
Fresh112
Picked101
Done011
Total9211103

Merged error: 0.0b

Counts
103 → 11

localize15.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- x (* (/ 3.0 8.0) y)))
0.5b
(cbrt (- x (* (/ 3.0 8.0) y)))
0.6b
(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
0.6b
(cbrt (pow (cbrt (- x (* (/ 3.0 8.0) y))) 2))

rewrite14.0ms (0.5%)

Algorithm
1×rewrite-expression-head
Rules
29×cbrt-prod
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
8×cbrt-div
6×unpow-prod-down
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
3×flip3-- flip--
1×unpow2 sqr-pow
Counts
4 → 61
Calls

4 calls:

4.0ms
(cbrt (pow (cbrt (- x (* (/ 3.0 8.0) y))) 2))
3.0ms
(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
3.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
3.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))

series150.0ms (5.6%)

Counts
4 → 12
Calls

4 calls:

41.0ms
(cbrt (pow (cbrt (- x (* (/ 3.0 8.0) y))) 2))
37.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
37.0ms
(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
35.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))

simplify70.0ms (2.6%)

Algorithm
1×egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 0 (62.0ms)

IterNodesCost
04866964
14866964

prune328.0ms (12.3%)

Pruning

12 alts after pruning (10 fresh and 2 done)

PrunedKeptTotal
New72173
Fresh099
Picked011
Done011
Total721284

Merged error: 0.0b

Counts
84 → 12

localize216.0ms (8.1%)

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- x (* (/ 3.0 8.0) y)))
0.5b
(pow (cbrt (cbrt (- x (* (/ 3.0 8.0) y)))) 2)
0.6b
(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
0.6b
(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))

rewrite16.0ms (0.6%)

Algorithm
1×rewrite-expression-head
Rules
30×cbrt-prod
13×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
10×cbrt-div
9×unpow-prod-down
5×pow1 add-exp-log
4×pow1/3 add-cbrt-cube add-log-exp
3×pow-unpow flip3-- flip--
2×pow-pow
1×pow-to-exp pow-exp unpow2 sqr-pow
Counts
4 → 70
Calls

4 calls:

5.0ms
(pow (cbrt (cbrt (- x (* (/ 3.0 8.0) y)))) 2)
3.0ms
(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
3.0ms
(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
2.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))

series149.0ms (5.6%)

Counts
4 → 12
Calls

4 calls:

40.0ms
(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
37.0ms
(pow (cbrt (cbrt (- x (* (/ 3.0 8.0) y)))) 2)
37.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
36.0ms
(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))

simplify54.0ms (2%)

Algorithm
1×egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
050061098

prune326.0ms (12.2%)

Pruning

12 alts after pruning (9 fresh and 3 done)

PrunedKeptTotal
New82082
Fresh099
Picked011
Done022
Total821294

Merged error: 0.0b

Counts
94 → 12

regimes333.0ms (12.5%)

Accuracy

Total 0.0b remaining (54.4%)

Threshold costs 0.0b (54.4%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0417
1417

end0.0ms (0%)

sample337.0ms (12.6%)

Algorithm
1×intervals
Results
162.0ms7384×body80valid
20.0ms213×body1280valid
15.0ms102×body2560valid
11.0ms151×body640valid
6.0ms101×body320valid
2.0ms49×body160valid

Profiling

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