Details

Time bar (total: 1.8s)

analyze1.0ms

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

sample27.0ms

Algorithm
intervals
Results
13.0ms72×body1280valid
4.0ms47×body640valid
3.0ms110×body80valid
1.0ms21×body320valid
0.0ms6×body160valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
0717
1717

prune2.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 34.8b

Counts
2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

0.3b
(cbrt (+ x 1.0))
0.5b
(cbrt x)
1.9b
(- (cbrt (+ x 1.0)) (cbrt x))

rewrite13.0ms

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)
8.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

series43.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(cbrt (+ x 1.0))
22.0ms
(cbrt x)
15.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

simplify65.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 0 (60.0ms)

IterNodesCost
04919486
14919486

prune80.0ms

Filtered
41 candidates to 52 candidates (-26.8%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New49352
Fresh000
Picked101
Done000
Total50353

Merged error: 0.3b

Counts
53 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt x)
0.5b
(cbrt x)
0.5b
(cbrt x)
0.5b
(* (cbrt x) (cbrt x))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
6.0ms
(* (cbrt x) (cbrt x))

series92.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt x)
22.0ms
(cbrt x)
24.0ms
(cbrt x)
25.0ms
(* (cbrt x) (cbrt x))

simplify45.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
05165356

prune128.0ms

Filtered
56 candidates to 85 candidates (-51.8%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New79685
Fresh022
Picked011
Done000
Total79988

Merged error: 0.2b

Counts
88 → 9

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt x)
0.5b
(* (cbrt x) (* (pow (cbrt (cbrt x)) 2) (cbrt (cbrt x))))
0.6b
(cbrt (cbrt x))
0.6b
(cbrt (cbrt x))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
24×cbrt-prod
14×add-exp-log
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
7×prod-exp
6×pow1 associate-*l* add-cbrt-cube
4×add-log-exp
3×pow1/3 cbrt-unprod
1×pow-to-exp associate-*r* pow-prod-down pow-exp *-commutative
Counts
4 → 61
Calls
4 calls:
1.0ms
(cbrt x)
10.0ms
(* (cbrt x) (* (pow (cbrt (cbrt x)) 2) (cbrt (cbrt x))))
2.0ms
(cbrt (cbrt x))
2.0ms
(cbrt (cbrt x))

series109.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(cbrt x)
25.0ms
(* (cbrt x) (* (pow (cbrt (cbrt x)) 2) (cbrt (cbrt x))))
32.0ms
(cbrt (cbrt x))
30.0ms
(cbrt (cbrt x))

simplify74.0ms

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 0 (68.0ms)

IterNodesCost
04902305
14902305

prune120.0ms

Filtered
46 candidates to 73 candidates (-58.7%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New69473
Fresh347
Picked011
Done011
Total721082

Merged error: 0.1b

Counts
82 → 10

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
36×cbrt-prod
12×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 56
Calls
4 calls:
2.0ms
(cbrt (cbrt x))
2.0ms
(cbrt (cbrt x))
2.0ms
(cbrt (cbrt x))
2.0ms
(cbrt (cbrt x))

series120.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(cbrt (cbrt x))
30.0ms
(cbrt (cbrt x))
32.0ms
(cbrt (cbrt x))
29.0ms
(cbrt (cbrt x))

simplify53.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 0 (48.0ms)

IterNodesCost
04787368
14787368

prune123.0ms

Filtered
56 candidates to 68 candidates (-21.4%)
Pruning

12 alts after pruning (9 fresh and 3 done)

PrunedKeptTotal
New65368
Fresh167
Picked011
Done022
Total661278

Merged error: 0.1b

Counts
78 → 12

regimes67.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01420
11420

end0.0ms

sample545.0ms

Algorithm
intervals
Results
195.0ms1750×body1280valid
112.0ms1268×body640valid
92.0ms4055×body80valid
41.0ms621×body320valid
15.0ms306×body160valid

Profiling

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