Details

Time bar (total: 4.9s)

sample11.0ms

Algorithm
intervals
Results
4.0ms256×body80valid

simplify2.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
055
165
done65

prune2.0ms

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

Local error

Found 1 expressions with local error:

0.0b
(+ x (/ 1.0 3.0))

rewrite6.0ms

Algorithm
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:
6.0ms
(+ x (/ 1.0 3.0))

series2.0ms

Counts
1 → 3
Calls
1 calls:
2.0ms
(+ x (/ 1.0 3.0))

simplify966.0ms

Counts
15 → 15
Iterations

Useful iterations: 2 (16.0ms)

IterNodesCost
028123
178118
2179108
3405108
41000108
52633108
done5000108

prune27.0ms

Filtered
11 candidates to 15 candidates (-36.4%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New12315
Fresh000
Picked011
Done000
Total12416

Merged error: 0.0b

Counts
16 → 4

localize8.0ms

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)))
0.7b
(* (cbrt (+ x (/ 1.0 3.0))) (cbrt (+ x (/ 1.0 3.0))))

rewrite249.0ms

Algorithm
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:
6.0ms
(cbrt (+ x (/ 1.0 3.0)))
6.0ms
(cbrt (+ x (/ 1.0 3.0)))
6.0ms
(cbrt (+ x (/ 1.0 3.0)))
16.0ms
(* (cbrt (+ x (/ 1.0 3.0))) (cbrt (+ x (/ 1.0 3.0))))

series29.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(cbrt (+ x (/ 1.0 3.0)))
7.0ms
(cbrt (+ x (/ 1.0 3.0)))
7.0ms
(cbrt (+ x (/ 1.0 3.0)))
8.0ms
(* (cbrt (+ x (/ 1.0 3.0))) (cbrt (+ x (/ 1.0 3.0))))

simplify810.0ms

Counts
107 → 107
Iterations

Useful iterations: done (807.0ms)

IterNodesCost
01582017
13571851
211221694
331431465
done50001444

prune232.0ms

Filtered
75 candidates to 107 candidates (-42.7%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1070107
Fresh022
Picked011
Done011
Total1074111

Merged error: 0.0b

Counts
111 → 4

localize6.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (+ x (/ 1.0 3.0)))
0.0b
(+ x (/ 1.0 3.0))
0.0b
(+ x (/ 1.0 3.0))
0.1b
(* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
33×*-un-lft-identity
30×sqrt-prod
26×add-sqr-sqrt
20×pow1
14×sqrt-div
13×add-cube-cbrt
11×swap-sqr
9×sqrt-pow1 flip3-+ pow1/2 flip-+ distribute-lft-out
8×add-log-exp
7×associate-*r* associate-*l*
6×add-exp-log add-cbrt-cube
5×pow-prod-up
4×frac-times unswap-sqr
3×pow-prod-down pow-sqr
2×+-commutative associate-*r/ associate-*l/ sum-log
1×pow2 rem-sqrt-square pow-plus sqrt-unprod prod-exp rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 102
Calls
4 calls:
6.0ms
(sqrt (+ x (/ 1.0 3.0)))
7.0ms
(+ x (/ 1.0 3.0))
6.0ms
(+ x (/ 1.0 3.0))
20.0ms
(* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))))

series11.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(sqrt (+ x (/ 1.0 3.0)))
2.0ms
(+ x (/ 1.0 3.0))
2.0ms
(+ x (/ 1.0 3.0))
3.0ms
(* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))))

simplify727.0ms

Counts
114 → 114
Iterations

Useful iterations: done (724.0ms)

IterNodesCost
01191664
12581161
28681075
326721051
done50001041

prune145.0ms

Filtered
62 candidates to 114 candidates (-83.9%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1131114
Fresh011
Picked101
Done022
Total1144118

Merged error: 0b

Counts
118 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (+ x (/ 1.0 3.0)))
0.0b
(+ x (/ 1.0 3.0))
0.6b
(pow (sqrt (+ x (/ 1.0 3.0))) 4)
7.9b
(sqrt (pow (sqrt (+ x (/ 1.0 3.0))) 4))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
24×sqrt-prod
19×*-un-lft-identity
16×unpow-prod-down
15×add-sqr-sqrt
11×add-cube-cbrt
7×pow1
6×add-log-exp
5×add-exp-log rem-sqrt-square
4×add-cbrt-cube distribute-lft-out
3×pow-unpow pow-pow sqrt-pow1 pow1/2 sqr-pow
2×flip3-+ sqrt-div flip-+
1×+-commutative pow-to-exp pow-exp sum-log sqrt-pow2
Counts
4 → 76
Calls
4 calls:
7.0ms
(sqrt (+ x (/ 1.0 3.0)))
6.0ms
(+ x (/ 1.0 3.0))
8.0ms
(pow (sqrt (+ x (/ 1.0 3.0))) 4)
8.0ms
(sqrt (pow (sqrt (+ x (/ 1.0 3.0))) 4))

series19.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(sqrt (+ x (/ 1.0 3.0)))
2.0ms
(+ x (/ 1.0 3.0))
10.0ms
(pow (sqrt (+ x (/ 1.0 3.0))) 4)
3.0ms
(sqrt (pow (sqrt (+ x (/ 1.0 3.0))) 4))

simplify1.1s

Counts
88 → 88
Iterations

Useful iterations: done (1.1s)

IterNodesCost
01561118
13661013
21100888
34090844
done5000824

prune136.0ms

Filtered
60 candidates to 88 candidates (-46.7%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New88088
Fresh011
Picked011
Done022
Total88492

Merged error: 0b

Counts
92 → 4

regimes65.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055
165
done65

end0.0ms

sample289.0ms

Algorithm
intervals
Results
145.0ms8000×body80valid

Profiling

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