Details

Time bar (total: 4.6s)

sample18.0ms

Algorithm
intervals
Results
5.0ms46×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

localize6.0ms

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))

series425.0ms

Counts
3 → 9
Calls
3 calls:
91.0ms
(cbrt (+ x 1.0))
179.0ms
(cbrt x)
154.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

simplify158.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
0287358
1934344
24833322
35001322

prune159.0ms

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))

rewrite87.0ms

Algorithm
rewrite-expression-head
Rules
255×cbrt-prod
232×add-sqr-sqrt
88×unswap-sqr
62×difference-of-squares
40×*-un-lft-identity
24×cbrt-div
21×swap-sqr
16×add-cube-cbrt
11×associate-*l*
7×flip3-+ associate-*r* *-commutative flip-+ distribute-lft-out
6×add-log-exp
4×pow1 add-exp-log frac-times add-cbrt-cube distribute-lft-out--
3×pow1/3
2×associate-*r/ associate-*l/
1×sub-neg flip3-- diff-log flip--
Counts
4 → 154
Calls
4 calls:
12.0ms
(cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))))
4.0ms
(cbrt (cbrt (+ x 1.0)))
1.0ms
(cbrt x)
60.0ms
(- (* (cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (cbrt (cbrt (+ x 1.0)))) (cbrt x))

series542.0ms

Counts
4 → 12
Calls
4 calls:
112.0ms
(cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))))
92.0ms
(cbrt (cbrt (+ x 1.0)))
179.0ms
(cbrt x)
158.0ms
(- (* (cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (cbrt (cbrt (+ x 1.0)))) (cbrt x))

simplify72.0ms

Algorithm
egg-herbie
Counts
166 → 166
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
07422870
120282806
250012746

prune449.0ms

Filtered
166 candidates to 103 candidates (62.0%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New1615166
Fresh268
Picked101
Done000
Total16411175

Merged error: 10.5b

Counts
175 → 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))))

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
215×add-sqr-sqrt
198×cbrt-prod
84×unswap-sqr
62×difference-of-squares
21×*-un-lft-identity
12×swap-sqr
7×add-cube-cbrt associate-*l*
6×*-commutative distribute-lft-out-- add-log-exp
4×pow1 add-exp-log add-cbrt-cube
3×pow1/3
2×distribute-lft-out
1×sub-neg flip3-- diff-log flip--
Counts
4 → 113
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
46.0ms
(- (cbrt (+ x 1.0)) (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x))))

series711.0ms

Counts
4 → 12
Calls
4 calls:
186.0ms
(cbrt x)
179.0ms
(cbrt x)
183.0ms
(cbrt x)
162.0ms
(- (cbrt (+ x 1.0)) (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x))))

simplify114.0ms

Algorithm
egg-herbie
Counts
125 → 125
Iterations

Useful iterations: 3 (98.0ms)

IterNodesCost
04951955
110841918
230851899
350021887

prune350.0ms

Filtered
125 candidates to 81 candidates (64.8%)
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New1196125
Fresh4610
Picked101
Done000
Total12412136

Merged error: 10.0b

Counts
136 → 12

localize22.0ms

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 associate--l+ distribute-lft-out--
1×+-commutative sub-neg flip3-- sum-log flip-- distribute-lft-out difference-of-squares
Counts
4 → 51
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
6.0ms
(- (+ x 1.0) x)

series558.0ms

Counts
4 → 12
Calls
4 calls:
182.0ms
(cbrt x)
190.0ms
(cbrt x)
185.0ms
(cbrt x)
1.0ms
(- (+ x 1.0) x)

simplify38.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 2 (10.0ms)

IterNodesCost
0110186
1290166
21027152
35001152

prune235.0ms

Filtered
63 candidates to 51 candidates (81.0%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New61263
Fresh6511
Picked101
Done000
Total68775

Merged error: 0.6b

Counts
75 → 7

regimes32.0ms

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
02431
12431

end0.0ms

sample489.0ms

Algorithm
intervals
Results
164.0ms1684×body1280valid
96.0ms1210×body640valid
85.0ms4157×body80valid
42.0ms627×body320valid
12.0ms322×body160valid