Details

Time bar (total: 5.0s)

sample20.0ms

Algorithm
intervals
Results
5.0ms48×body1280valid
4.0ms42×body640valid
3.0ms142×body80valid
1.0ms17×body320valid
0.0ms7×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: 27.5b

Counts
2 → 1

localize5.0ms

Local error

Found 3 expressions with local error:

0.3b
(cbrt (+ x 1.0))
0.6b
(cbrt x)
2.2b
(- (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:
89.0ms
(cbrt (+ x 1.0))
178.0ms
(cbrt x)
157.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

simplify166.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0287358
1934344
24839322
35001322

prune137.0ms

Filtered
53 candidates to 45 candidates (84.9%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New46753
Fresh000
Picked101
Done000
Total47754

Merged error: 10.1b

Counts
54 → 7

localize8.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (+ x 1.0))
0.6b
(cbrt x)
1.9b
(log (exp (- (cbrt (+ x 1.0)) (cbrt x))))
2.2b
(- (cbrt (+ x 1.0)) (cbrt x))

rewrite22.0ms

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:
3.0ms
(cbrt (+ x 1.0))
1.0ms
(cbrt x)
8.0ms
(log (exp (- (cbrt (+ x 1.0)) (cbrt x))))
8.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

series570.0ms

Counts
4 → 12
Calls
4 calls:
90.0ms
(cbrt (+ x 1.0))
175.0ms
(cbrt x)
152.0ms
(log (exp (- (cbrt (+ x 1.0)) (cbrt x))))
153.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

simplify37.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0336568
11025536
25001505

prune207.0ms

Filtered
81 candidates to 67 candidates (82.7%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New79281
Fresh066
Picked101
Done000
Total80888

Merged error: 10.1b

Counts
88 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

2.0b
(log (sqrt (exp (- (cbrt (+ x 1.0)) (cbrt x)))))
2.0b
(log (sqrt (exp (- (cbrt (+ x 1.0)) (cbrt x)))))
2.2b
(- (cbrt (+ x 1.0)) (cbrt x))
2.2b
(- (cbrt (+ x 1.0)) (cbrt x))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
42×add-sqr-sqrt
38×*-un-lft-identity
32×cbrt-prod
26×log-pow
22×sqrt-pow1
20×exp-prod
16×log-prod difference-of-squares
12×distribute-lft-out--
10×add-cube-cbrt sqrt-prod
8×pow1 add-log-exp
6×add-exp-log
4×sub-neg exp-sum add-cbrt-cube distribute-lft-out
2×log-div flip3-- pow1/2 exp-diff sqrt-div diff-log rem-log-exp flip--
Counts
4 → 98
Calls
4 calls:
14.0ms
(log (sqrt (exp (- (cbrt (+ x 1.0)) (cbrt x)))))
10.0ms
(log (sqrt (exp (- (cbrt (+ x 1.0)) (cbrt x)))))
8.0ms
(- (cbrt (+ x 1.0)) (cbrt x))
8.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

series1.0s

Counts
4 → 12
Calls
4 calls:
265.0ms
(log (sqrt (exp (- (cbrt (+ x 1.0)) (cbrt x)))))
459.0ms
(log (sqrt (exp (- (cbrt (+ x 1.0)) (cbrt x)))))
153.0ms
(- (cbrt (+ x 1.0)) (cbrt x))
150.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

simplify43.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
03601078
110591004
25001980

prune410.0ms

Filtered
110 candidates to 88 candidates (80.0%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New1064110
Fresh077
Picked101
Done000
Total10711118

Merged error: 10.1b

Counts
118 → 11

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
2.0b
(log (sqrt (exp (- (cbrt (+ x 1.0)) (cbrt x)))))
2.2b
(- (cbrt (+ x 1.0)) (cbrt x))
2.2b
(- (cbrt (+ x 1.0)) (cbrt x))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
32×add-sqr-sqrt
29×*-un-lft-identity
27×cbrt-prod
13×log-pow
12×difference-of-squares
11×sqrt-pow1
10×exp-prod
9×distribute-lft-out--
8×add-cube-cbrt log-prod add-log-exp
6×pow1
5×add-exp-log sqrt-prod
4×add-cbrt-cube
3×sub-neg distribute-lft-out
2×flip3-- diff-log exp-sum flip--
1×log-div pow1/2 exp-diff pow1/3 sqrt-div rem-log-exp
Counts
4 → 79
Calls
4 calls:
1.0ms
(cbrt x)
10.0ms
(log (sqrt (exp (- (cbrt (+ x 1.0)) (cbrt x)))))
8.0ms
(- (cbrt (+ x 1.0)) (cbrt x))
12.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

series753.0ms

Counts
4 → 12
Calls
4 calls:
186.0ms
(cbrt x)
266.0ms
(log (sqrt (exp (- (cbrt (+ x 1.0)) (cbrt x)))))
146.0ms
(- (cbrt (+ x 1.0)) (cbrt x))
155.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

simplify41.0ms

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0370783
11085734
25002710

prune285.0ms

Filtered
91 candidates to 74 candidates (81.3%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New89291
Fresh3710
Picked011
Done000
Total9210102

Merged error: 10.1b

Counts
102 → 10

regimes126.0ms

Accuracy

99.1% (0.2b remaining)

Error of 11.9b against oracle of 11.7b and baseline of 30.0b

bsearch90.0ms

Steps
ItersRangePoint
7
2.993231837914307e-24
9.893341393771484e-23
1.2208898140441042e-23
10
-3.0851434169335505e+66
-4.036374586938791e+53
-4.439673302430606e+61

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05939
16339
26339

end0.0ms

sample548.0ms

Algorithm
intervals
Results
194.0ms1727×body1280valid
110.0ms1307×body640valid
94.0ms4068×body80valid
41.0ms588×body320valid
13.0ms310×body160valid

Profiling

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