Details

Time bar (total: 2.1s)

analyze1.0ms

Algorithm
search

sample25.0ms

Algorithm
intervals
Results
8.0ms48×body640valid
7.0ms54×body1280valid
3.0ms124×body80valid
1.0ms23×body320valid
0.0ms7×body160valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
094
1104
2104

prune2.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 31.2b

Counts
2 → 1

localize5.0ms

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 → 44
Calls
3 calls:
3.0ms
(cbrt (+ x 1.0))
1.0ms
(cbrt x)
7.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

series41.0ms

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

simplify118.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 3 (113.0ms)

IterNodesCost
0290405
1908390
24235335
35002332

prune86.0ms

Filtered
42 candidates to 53 candidates (-26.2%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New50353
Fresh000
Picked101
Done000
Total51354

Merged error: 0.5b

Counts
54 → 3

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite10.0ms

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)
5.0ms
(* (cbrt x) (cbrt x))

series89.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt x)
21.0ms
(cbrt x)
21.0ms
(cbrt x)
26.0ms
(* (cbrt x) (cbrt x))

simplify73.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (67.0ms)

IterNodesCost
0148349
1479322
22283265
35001252

prune151.0ms

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

14 alts after pruning (13 fresh and 1 done)

PrunedKeptTotal
New741185
Fresh022
Picked011
Done000
Total741488

Merged error: 0.2b

Counts
88 → 14

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
29×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 → 74
Calls
4 calls:
1.0ms
(cbrt x)
5.0ms
(* (cbrt x) (cbrt x))
1.0ms
(cbrt (cbrt x))
4.0ms
(cbrt (* (cbrt x) (cbrt x)))

series110.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt x)
24.0ms
(* (cbrt x) (cbrt x))
31.0ms
(cbrt (cbrt x))
34.0ms
(cbrt (* (cbrt x) (cbrt x)))

simplify87.0ms

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 3 (82.0ms)

IterNodesCost
0213411
1616381
22725316
35001301

prune183.0ms

Filtered
59 candidates to 86 candidates (-45.8%)
Pruning

18 alts after pruning (16 fresh and 2 done)

PrunedKeptTotal
New77986
Fresh5712
Picked011
Done011
Total8218100

Merged error: 0.1b

Counts
100 → 18

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
27×cbrt-prod
22×add-sqr-sqrt
14×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 → 72
Calls
4 calls:
5.0ms
(* (cbrt x) (cbrt x))
1.0ms
(cbrt (cbrt x))
4.0ms
(cbrt (* (cbrt x) (cbrt x)))
4.0ms
(cbrt (* (cbrt x) (cbrt x)))

series124.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* (cbrt x) (cbrt x))
29.0ms
(cbrt (cbrt x))
34.0ms
(cbrt (* (cbrt x) (cbrt x)))
36.0ms
(cbrt (* (cbrt x) (cbrt x)))

simplify85.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 3 (79.0ms)

IterNodesCost
0195438
1580402
22607336
35001333

prune126.0ms

Filtered
57 candidates to 84 candidates (-47.4%)
Pruning

19 alts after pruning (16 fresh and 3 done)

PrunedKeptTotal
New80484
Fresh31215
Picked011
Done022
Total8319102

Merged error: 0.1b

Counts
102 → 19

regimes99.0ms

Accuracy

0% (0.3b remaining)

Error of 0.6b against oracle of 0.2b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02319
12719
22719

end0.0ms

analyze1.0ms

Algorithm
search

sample560.0ms

Algorithm
intervals
Results
199.0ms1698×body1280valid
111.0ms1258×body640valid
96.0ms4088×body80valid
43.0ms632×body320valid
14.0ms324×body160valid

Profiling

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