Details

Time bar (total: 3.9s)

sample18.0ms

Algorithm
intervals
Results
4.0ms46×body1280valid
3.0ms41×body640valid
3.0ms132×body80valid
2.0ms25×body320valid
0.0ms12×body160valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
094
1104
2104

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 29.9b

Counts
2 → 1

localize5.0ms

Local error

Found 3 expressions with local error:

0.3b
(cbrt (+ x 1.0))
0.6b
(cbrt x)
4.6b
(- (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 → 44
Calls
3 calls:
3.0ms
(cbrt (+ x 1.0))
1.0ms
(cbrt x)
8.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

series407.0ms

Counts
3 → 9
Calls
3 calls:
86.0ms
(cbrt (+ x 1.0))
172.0ms
(cbrt x)
149.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

simplify157.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0287358
1934344
24833322
35001322

prune146.0ms

Filtered
53 candidates to 45 candidates (84.9%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New44953
Fresh000
Picked101
Done000
Total45954

Merged error: 10.5b

Counts
54 → 9

localize11.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))))
0.3b
(cbrt (cbrt (+ x 1.0)))
0.6b
(cbrt x)
10.9b
(- (* (cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (cbrt (cbrt (+ x 1.0)))) (cbrt x))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
24×cbrt-div
15×cbrt-prod
9×*-un-lft-identity
7×add-sqr-sqrt add-cube-cbrt flip3-+ flip-+
6×add-log-exp
4×pow1 add-exp-log frac-times add-cbrt-cube
3×pow1/3
2×associate-*r/ associate-*l/
1×sub-neg flip3-- diff-log flip-- distribute-lft-out
Counts
4 → 57
Calls
4 calls:
8.0ms
(cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))))
3.0ms
(cbrt (cbrt (+ x 1.0)))
1.0ms
(cbrt x)
12.0ms
(- (* (cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (cbrt (cbrt (+ x 1.0)))) (cbrt x))

series513.0ms

Counts
4 → 12
Calls
4 calls:
101.0ms
(cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))))
87.0ms
(cbrt (cbrt (+ x 1.0)))
176.0ms
(cbrt x)
147.0ms
(- (* (cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (cbrt (cbrt (+ x 1.0)))) (cbrt x))

simplify47.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0477746
11545691
25002672

prune248.0ms

Filtered
69 candidates to 58 candidates (84.1%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New64569
Fresh268
Picked101
Done000
Total671178

Merged error: 10.5b

Counts
78 → 11

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
10.9b
(- (cbrt (+ x 1.0)) (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x))))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
9×cbrt-prod
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×add-log-exp
4×pow1 add-exp-log add-cbrt-cube
3×pow1/3
1×sub-neg flip3-- diff-log flip--
Counts
4 → 45
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
7.0ms
(- (cbrt (+ x 1.0)) (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x))))

series683.0ms

Counts
4 → 12
Calls
4 calls:
176.0ms
(cbrt x)
175.0ms
(cbrt x)
182.0ms
(cbrt x)
149.0ms
(- (cbrt (+ x 1.0)) (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x))))

simplify83.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 3 (79.0ms)

IterNodesCost
0236383
1681346
22529327
35001315

prune202.0ms

Filtered
57 candidates to 48 candidates (84.2%)
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New51657
Fresh4610
Picked101
Done000
Total561268

Merged error: 10.0b

Counts
68 → 12

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
3.9b
(- (+ x 1.0) x)

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
12×*-un-lft-identity
9×cbrt-prod add-sqr-sqrt add-log-exp
7×add-cube-cbrt
4×pow1 add-exp-log add-cbrt-cube
3×pow1/3
2×diff-log distribute-lft-out--
1×sub-neg flip3-- associate--l+ sum-log flip-- distribute-lft-out difference-of-squares
Counts
4 → 50
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
6.0ms
(- (+ x 1.0) x)

series538.0ms

Counts
4 → 12
Calls
4 calls:
176.0ms
(cbrt x)
182.0ms
(cbrt x)
179.0ms
(cbrt x)
1.0ms
(- (+ x 1.0) x)

simplify35.0ms

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 3 (31.0ms)

IterNodesCost
0108186
1286172
21047163
35001152

prune221.0ms

Filtered
62 candidates to 50 candidates (80.6%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New60262
Fresh6511
Picked101
Done000
Total67774

Merged error: 0.6b

Counts
74 → 7

regimes34.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02426
12826
22826

end0.0ms

sample483.0ms

Algorithm
intervals
Results
165.0ms1684×body1280valid
92.0ms1210×body640valid
86.0ms4157×body80valid
34.0ms627×body320valid
12.0ms322×body160valid