Details

Time bar (total: 4.4s)

sample22.0ms

Algorithm
intervals
Results
7.0ms68×body1280valid
5.0ms127×body80valid
2.0ms32×body640valid
1.0ms19×body320valid
0.0ms10×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

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.8b

localize5.0ms

Local error

Found 3 expressions with local error:

0.3b
(cbrt (+ x 1.0))
0.6b
(cbrt x)
2.9b
(- (cbrt (+ x 1.0)) (cbrt x))

rewrite25.0ms

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:
2.0ms
(cbrt (+ x 1.0))
0.0ms
(cbrt x)
21.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

series407.0ms

Counts
3 → 9
Calls
3 calls:
87.0ms
(cbrt (+ x 1.0))
172.0ms
(cbrt x)
147.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

simplify162.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0287358
1934344
24833322
35001322

prune150.0ms

Filtered
53 candidates to 45 candidates (84.9%)
Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 13.2b

localize9.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (+ x 1.0))
0.6b
(cbrt x)
2.4b
(log (exp (- (cbrt (+ x 1.0)) (cbrt x))))
2.9b
(- (cbrt (+ x 1.0)) (cbrt x))

rewrite78.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt *-un-lft-identity
23×cbrt-prod
11×log-pow
10×exp-prod
8×add-cube-cbrt difference-of-squares
6×distribute-lft-out-- add-log-exp
5×pow1 log-prod
4×add-exp-log add-cbrt-cube
3×distribute-lft-out
2×sub-neg cbrt-div pow1/3 exp-sum
1×log-div flip3-- flip3-+ exp-diff diff-log rem-log-exp flip-- flip-+
Counts
4 → 69
Calls
4 calls:
2.0ms
(cbrt (+ x 1.0))
0.0ms
(cbrt x)
52.0ms
(log (exp (- (cbrt (+ x 1.0)) (cbrt x))))
21.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

series559.0ms

Counts
4 → 12
Calls
4 calls:
86.0ms
(cbrt (+ x 1.0))
174.0ms
(cbrt x)
147.0ms
(log (exp (- (cbrt (+ x 1.0)) (cbrt x))))
151.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

simplify35.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0336568
11025536
25001505

prune249.0ms

Filtered
81 candidates to 66 candidates (81.5%)
Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 13.2b

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
2.9b
(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (cbrt x)))

rewrite13.0ms

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-- difference-of-squares
Counts
4 → 46
Calls
4 calls:
0.0ms
(cbrt x)
0.0ms
(cbrt x)
0.0ms
(cbrt x)
11.0ms
(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (cbrt x)))

series727.0ms

Counts
4 → 12
Calls
4 calls:
181.0ms
(cbrt x)
186.0ms
(cbrt x)
180.0ms
(cbrt x)
181.0ms
(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (cbrt x)))

simplify139.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
0243356
1829292
24198276
35001276

prune201.0ms

Filtered
58 candidates to 50 candidates (86.2%)
Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 13.2b

localize16.0ms

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)
11.5b
(- (* (cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (cbrt (cbrt (+ x 1.0)))) (cbrt x))

rewrite31.0ms

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:
7.0ms
(cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))))
2.0ms
(cbrt (cbrt (+ x 1.0)))
0.0ms
(cbrt x)
20.0ms
(- (* (cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (cbrt (cbrt (+ x 1.0)))) (cbrt x))

series537.0ms

Counts
4 → 12
Calls
4 calls:
106.0ms
(cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))))
91.0ms
(cbrt (cbrt (+ x 1.0)))
182.0ms
(cbrt x)
157.0ms
(- (* (cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (cbrt (cbrt (+ x 1.0)))) (cbrt x))

simplify56.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0477746
11545691
25002672

prune221.0ms

Filtered
69 candidates to 57 candidates (82.6%)
Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 13.2b

regimes150.0ms

Accuracy

98.8% (0.2b remaining)

Error of 12.1b against oracle of 11.9b and baseline of 30.0b

bsearch81.0ms

Steps
ItersRangePoint
6
4.752100984259161e-15
4.954672735438799e-14
1.0528046201104133e-14
9
-1.0967933651442815e+64
-5.242418605836733e+58
-4.4552811435672495e+61

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05939
16339
26339

end0.0ms

sample497.0ms

Algorithm
intervals
Results
173.0ms1713×body1280valid
97.0ms1235×body640valid
86.0ms4084×body80valid
36.0ms651×body320valid
12.0ms317×body160valid