Details

Time bar (total: 1.9s)

analyze1.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
100%0%0%1

sample25.0ms

Algorithm
intervals
Results
7.0ms59×body1280valid
4.0ms43×body640valid
3.0ms117×body80valid
2.0ms28×body320valid
0.0ms9×body160valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
0777
1777

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 32.9b

Counts
2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

0.3b
(cbrt (+ x 1.0))
0.6b
(cbrt x)
2.1b
(- (cbrt (+ x 1.0)) (cbrt x))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
15×cbrt-prod
14×*-un-lft-identity
13×add-sqr-sqrt
5×add-cube-cbrt add-log-exp
4×difference-of-squares
3×pow1 add-exp-log add-cbrt-cube distribute-lft-out--
2×cbrt-div pow1/3 distribute-lft-out
1×sub-neg flip3-- flip3-+ diff-log flip-- flip-+
Counts
3 → 43
Calls
3 calls:
3.0ms
(cbrt (+ x 1.0))
1.0ms
(cbrt x)
7.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

series42.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(cbrt (+ x 1.0))
21.0ms
(cbrt x)
15.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

simplify66.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 0 (61.0ms)

IterNodesCost
04864467
14864467

prune95.0ms

Filtered
40 candidates to 52 candidates (-30.0%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New48452
Fresh000
Picked101
Done000
Total49453

Merged error: 0.1b

Counts
53 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (+ x 1.0))
0.3b
(* (cbrt (+ x 1.0)) (+ (cbrt (+ x 1.0)) (cbrt x)))
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
21×*-un-lft-identity
19×cbrt-prod
14×add-sqr-sqrt
10×add-cube-cbrt
8×cbrt-div
7×flip3-+ associate-*l* flip-+
6×pow1 add-exp-log associate-*r* distribute-lft-out
5×add-cbrt-cube
4×frac-times add-log-exp
3×pow1/3
2×associate-*r/ associate-*l/ unswap-sqr
1×distribute-rgt-in distribute-lft-in pow-prod-down prod-exp *-commutative cbrt-unprod
Counts
4 → 72
Calls
4 calls:
3.0ms
(cbrt (+ x 1.0))
14.0ms
(* (cbrt (+ x 1.0)) (+ (cbrt (+ x 1.0)) (cbrt x)))
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series72.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(cbrt (+ x 1.0))
22.0ms
(* (cbrt (+ x 1.0)) (+ (cbrt (+ x 1.0)) (cbrt x)))
21.0ms
(cbrt x)
23.0ms
(cbrt x)

simplify63.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 0 (55.0ms)

IterNodesCost
04923979
14923979

prune196.0ms

Filtered
64 candidates to 84 candidates (-31.3%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New77784
Fresh033
Picked101
Done000
Total781088

Merged error: 0.0b

Counts
88 → 10

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 44
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series86.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt x)
21.0ms
(cbrt x)
21.0ms
(cbrt x)
23.0ms
(cbrt x)

simplify59.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
04785200
14785200

prune119.0ms

Filtered
40 candidates to 56 candidates (-40.0%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New56056
Fresh099
Picked011
Done000
Total561066

Merged error: 0.0b

Counts
66 → 10

localize16.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (cbrt (+ x 1.0)))
0.3b
(* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
41×cbrt-prod
32×*-un-lft-identity
24×add-sqr-sqrt
16×add-cube-cbrt cbrt-div
11×pow1
9×pow1/3 swap-sqr
7×flip3-+ associate-*r* associate-*l* flip-+ distribute-lft-out
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 → 92
Calls
4 calls:
4.0ms
(cbrt (cbrt (+ x 1.0)))
10.0ms
(* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series57.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(cbrt (cbrt (+ x 1.0)))
7.0ms
(* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))
23.0ms
(cbrt x)
21.0ms
(cbrt x)

simplify65.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 0 (57.0ms)

IterNodesCost
04804895
14804895

prune227.0ms

Filtered
67 candidates to 104 candidates (-55.2%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New1040104
Fresh088
Picked011
Done011
Total10410114

Merged error: 0.0b

Counts
114 → 10

regimes60.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05028
15028

end0.0ms

sample580.0ms

Algorithm
intervals
Results
213.0ms1752×body1280valid
115.0ms1251×body640valid
99.0ms4049×body80valid
44.0ms640×body320valid
14.0ms308×body160valid

Profiling

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