Details

Time bar (total: 3.8s)

sample32.0ms

Algorithm
intervals
Results
12.0ms79×body1280valid
5.0ms45×body640valid
4.0ms170×body80valid
2.0ms23×body320valid
0.0ms9×body160valid

simplify59.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0113
1183
2263
3483
41103
53183
616233
750013

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: 28.7b

Counts
2 → 1

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b
(exp (* a x))
3.4b
(- (exp (* a x)) 1.0)

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
6×add-log-exp
4×add-sqr-sqrt *-un-lft-identity
2×pow1 add-exp-log add-cube-cbrt add-cbrt-cube
1×sub-neg exp-prod flip3-- exp-to-pow diff-log flip-- rem-exp-log distribute-lft-out-- difference-of-squares
Counts
2 → 24
Calls
2 calls:
2.0ms
(exp (* a x))
4.0ms
(- (exp (* a x)) 1.0)

series48.0ms

Counts
2 → 6
Calls
2 calls:
12.0ms
(exp (* a x))
36.0ms
(- (exp (* a x)) 1.0)

simplify40.0ms

Algorithm
egg-herbie
Counts
30 → 30
Iterations

Useful iterations: 2 (10.0ms)

IterNodesCost
0115135
1333127
21116125
35001125

prune61.0ms

Filtered
30 candidates to 20 candidates (66.7%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New23730
Fresh000
Picked101
Done000
Total24731

Merged error: 7.0b

Counts
31 → 7

localize8.0ms

Local error

Found 4 expressions with local error:

0.1b
(cbrt (- (exp (* a x)) 1.0))
3.4b
(- (exp (* a x)) 1.0)
3.4b
(- (exp (* a x)) 1.0)
3.4b
(- (exp (* a x)) 1.0)

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt *-un-lft-identity
10×add-log-exp
5×cbrt-prod add-cube-cbrt
4×pow1 add-exp-log flip3-- add-cbrt-cube flip-- distribute-lft-out-- difference-of-squares
3×sub-neg diff-log
2×cbrt-div
1×pow1/3
Counts
4 → 57
Calls
4 calls:
3.0ms
(cbrt (- (exp (* a x)) 1.0))
4.0ms
(- (exp (* a x)) 1.0)
4.0ms
(- (exp (* a x)) 1.0)
4.0ms
(- (exp (* a x)) 1.0)

series194.0ms

Counts
4 → 12
Calls
4 calls:
92.0ms
(cbrt (- (exp (* a x)) 1.0))
33.0ms
(- (exp (* a x)) 1.0)
36.0ms
(- (exp (* a x)) 1.0)
33.0ms
(- (exp (* a x)) 1.0)

simplify64.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 3 (58.0ms)

IterNodesCost
0167460
1491412
21911395
35001391

prune164.0ms

Filtered
69 candidates to 50 candidates (72.5%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New65469
Fresh426
Picked101
Done000
Total70676

Merged error: 7.0b

Counts
76 → 6

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (+ (sqrt (exp (* a x))) (sqrt 1.0)))
3.4b
(- (exp (* a x)) 1.0)
3.4b
(- (exp (* a x)) 1.0)
3.4b
(- (sqrt (exp (* a x))) (sqrt 1.0))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt *-un-lft-identity
10×add-log-exp
8×sqrt-prod
6×difference-of-squares
5×cbrt-prod add-cube-cbrt
4×pow1 add-exp-log add-cbrt-cube distribute-lft-out--
3×sub-neg flip3-- diff-log flip--
2×cbrt-div distribute-lft-out
1×flip3-+ pow1/3 flip-+
Counts
4 → 61
Calls
4 calls:
6.0ms
(cbrt (+ (sqrt (exp (* a x))) (sqrt 1.0)))
4.0ms
(- (exp (* a x)) 1.0)
4.0ms
(- (exp (* a x)) 1.0)
6.0ms
(- (sqrt (exp (* a x))) (sqrt 1.0))

series456.0ms

Counts
4 → 12
Calls
4 calls:
329.0ms
(cbrt (+ (sqrt (exp (* a x))) (sqrt 1.0)))
36.0ms
(- (exp (* a x)) 1.0)
33.0ms
(- (exp (* a x)) 1.0)
58.0ms
(- (sqrt (exp (* a x))) (sqrt 1.0))

simplify107.0ms

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 3 (100.0ms)

IterNodesCost
0266589
1885549
23458536
35002535

prune222.0ms

Filtered
73 candidates to 50 candidates (68.5%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New71273
Fresh145
Picked011
Done000
Total72779

Merged error: 7.0b

Counts
79 → 7

localize27.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (+ (sqrt (exp (* a x))) (sqrt 1.0)))
3.4b
(- (pow (sqrt (exp (* a x))) 3) (pow (sqrt 1.0) 3))
3.4b
(- (exp (* a x)) 1.0)
3.4b
(- (exp (* a x)) 1.0)

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
69×add-sqr-sqrt
38×difference-of-squares
34×sqrt-prod
32×unpow-prod-down cube-prod
31×*-un-lft-identity
12×sqr-pow
11×distribute-lft-out--
10×add-log-exp
5×cbrt-prod add-cube-cbrt
4×pow1 add-exp-log add-cbrt-cube
3×sub-neg flip3-- diff-log flip--
2×cbrt-div distribute-lft-out
1×difference-cubes flip3-+ pow1/3 flip-+
Counts
4 → 101
Calls
4 calls:
5.0ms
(cbrt (+ (sqrt (exp (* a x))) (sqrt 1.0)))
18.0ms
(- (pow (sqrt (exp (* a x))) 3) (pow (sqrt 1.0) 3))
4.0ms
(- (exp (* a x)) 1.0)
4.0ms
(- (exp (* a x)) 1.0)

series518.0ms

Counts
4 → 12
Calls
4 calls:
336.0ms
(cbrt (+ (sqrt (exp (* a x))) (sqrt 1.0)))
113.0ms
(- (pow (sqrt (exp (* a x))) 3) (pow (sqrt 1.0) 3))
36.0ms
(- (exp (* a x)) 1.0)
33.0ms
(- (exp (* a x)) 1.0)

simplify48.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
03551268
111961219
250011206

prune342.0ms

Filtered
113 candidates to 62 candidates (54.9%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1121113
Fresh055
Picked101
Done011
Total1137120

Merged error: 7.0b

Counts
120 → 7

regimes279.0ms

Accuracy

93.7% (1.3b remaining)

Error of 9.7b against oracle of 8.3b and baseline of 29.8b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04434
14434

end0.0ms

sample1.0s

Algorithm
intervals
Results
460.0ms2639×body1280valid
151.0ms1366×body640valid
127.0ms5429×body80valid
60.0ms740×body320valid
21.0ms403×body160valid

Profiling

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