Details

Time bar (total: 2.3s)

analyze46.0ms

Algorithm
search

sample34.0ms

Algorithm
intervals
Results
17.0ms90×body1280valid
5.0ms43×body640valid
2.0ms98×body80valid
1.0ms18×body320valid
0.0msbody160valid
0.0msbody80invalid

simplify56.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0113
1183
2263
3483
41103
53183
616233
750013

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 27.3b

Counts
2 → 1

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b
(exp (* a x))
1.9b
(- (exp (* a x)) 1.0)

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
add-log-exp
add-sqr-sqrt *-un-lft-identity
pow1 add-exp-log add-cube-cbrt add-cbrt-cube
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:
1.0ms
(exp (* a x))
4.0ms
(- (exp (* a x)) 1.0)

series11.0ms

Counts
2 → 6
Calls
2 calls:
4.0ms
(exp (* a x))
7.0ms
(- (exp (* a x)) 1.0)

simplify37.0ms

Algorithm
egg-herbie
Counts
30 → 30
Iterations

Useful iterations: 2 (9.0ms)

IterNodesCost
0115135
1333127
21116125
35001125

prune54.0ms

Filtered
20 candidates to 30 candidates (-50.0%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New24630
Fresh000
Picked101
Done000
Total25631

Merged error: 5.0b

Counts
31 → 6

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(exp (* a x))
1.9b
(log (exp (- (exp (* a x)) 1.0)))
1.9b
(- (exp (* a x)) 1.0)

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt *-un-lft-identity
add-log-exp
exp-prod log-pow
add-cube-cbrt log-prod
pow1
add-exp-log add-cbrt-cube
sub-neg exp-sum distribute-lft-out-- difference-of-squares
log-div flip3-- exp-to-pow exp-diff diff-log rem-log-exp flip-- rem-exp-log
Counts
3 → 44
Calls
3 calls:
2.0ms
(exp (* a x))
4.0ms
(log (exp (- (exp (* a x)) 1.0)))
4.0ms
(- (exp (* a x)) 1.0)

series21.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(exp (* a x))
7.0ms
(log (exp (- (exp (* a x)) 1.0)))
10.0ms
(- (exp (* a x)) 1.0)

simplify42.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 2 (10.0ms)

IterNodesCost
0151255
1414234
21256231
35001231

prune71.0ms

Filtered
34 candidates to 53 candidates (-55.9%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New53053
Fresh055
Picked011
Done000
Total53659

Merged error: 5.0b

Counts
59 → 6

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(exp (* a x))
0.0b
(exp (* a x))
0.0b
(pow (exp (* a x)) 3)
1.9b
(- (pow (exp (* a x)) 3) (pow 1.0 3))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
31×add-sqr-sqrt
17×*-un-lft-identity
16×difference-of-squares
15×unpow-prod-down cube-prod
11×add-log-exp
sqr-pow
add-cube-cbrt
pow1 add-cbrt-cube distribute-lft-out--
add-exp-log
pow-unpow exp-prod exp-to-pow pow-pow
rem-exp-log
difference-cubes cube-mult pow-to-exp sub-neg flip3-- diff-log unpow3 pow-exp flip-- rem-cube-cbrt
Counts
4 → 79
Calls
4 calls:
2.0ms
(exp (* a x))
2.0ms
(exp (* a x))
3.0ms
(pow (exp (* a x)) 3)
11.0ms
(- (pow (exp (* a x)) 3) (pow 1.0 3))

series34.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(exp (* a x))
4.0ms
(exp (* a x))
11.0ms
(pow (exp (* a x)) 3)
16.0ms
(- (pow (exp (* a x)) 3) (pow 1.0 3))

simplify42.0ms

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0256538
1977520
25001497

prune132.0ms

Filtered
50 candidates to 91 candidates (-82.0%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New87491
Fresh314
Picked101
Done011
Total91697

Merged error: 5.0b

Counts
97 → 6

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(exp (* a x))
0.0b
(exp (* a x))
0.2b
(* (* a x) 3)
1.9b
(- (exp (* (* a x) 3)) (pow 1.0 3))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
11×add-log-exp
pow1 add-exp-log add-cbrt-cube
*-un-lft-identity
add-cube-cbrt
difference-of-squares
difference-cubes exp-prod exp-to-pow associate-*r* pow-prod-down prod-exp cbrt-unprod
rem-exp-log
sub-neg unpow-prod-down exp-lft-cube flip3-- diff-log cube-prod associate-*l* *-commutative flip-- distribute-lft-out-- sqr-pow
Counts
4 → 58
Calls
4 calls:
2.0ms
(exp (* a x))
2.0ms
(exp (* a x))
5.0ms
(* (* a x) 3)
6.0ms
(- (exp (* (* a x) 3)) (pow 1.0 3))

series21.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(exp (* a x))
4.0ms
(exp (* a x))
5.0ms
(* (* a x) 3)
8.0ms
(- (exp (* (* a x) 3)) (pow 1.0 3))

simplify38.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0258363
11078329
25001325

prune91.0ms

Filtered
43 candidates to 70 candidates (-62.8%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New67370
Fresh044
Picked101
Done011
Total68876

Merged error: 5.0b

Counts
76 → 8

regimes442.0ms

Accuracy

94.4% (1.2b remaining)

Error of 9.6b against oracle of 8.3b and baseline of 30.0b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04740
14740

end0.0ms

analyze43.0ms

Algorithm
search

sample959.0ms

Algorithm
intervals
Results
488.0ms2702×body1280valid
157.0ms1362×body640valid
72.0ms2745×body80valid
60.0ms765×body320valid
23.0ms426×body160valid
6.0ms150×body80invalid

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