Details

Time bar (total: 2.6s)

sample35.0ms

Algorithm
intervals
Results
14.0ms82×body1280valid
5.0ms189×body80valid
4.0ms38×body640valid
2.0ms25×body320valid
1.0ms16×body160valid

simplify58.0ms

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: 30.3b

Counts
2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(exp (* a x))
4.2b
(- (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:
2.0ms
(exp (* a x))
4.0ms
(- (exp (* a x)) 1.0)

series50.0ms

Counts
2 → 6
Calls
2 calls:
12.0ms
(exp (* a x))
38.0ms
(- (exp (* a x)) 1.0)

simplify40.0ms

Algorithm
egg-herbie
Counts
30 → 30
Iterations

Useful iterations: 2 (10.0ms)

IterNodesCost
0115135
1333127
21116125
35001125

prune70.0ms

Filtered
30 candidates to 20 candidates (66.7%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New23730
Fresh000
Picked011
Done000
Total23831

Merged error: 8.4b

Counts
31 → 8

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(exp (* a x))
4.2b
(log (exp (- (exp (* a x)) 1.0)))
4.2b
(- (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))
5.0ms
(log (exp (- (exp (* a x)) 1.0)))
4.0ms
(- (exp (* a x)) 1.0)

series83.0ms

Counts
3 → 9
Calls
3 calls:
12.0ms
(exp (* a x))
34.0ms
(log (exp (- (exp (* a x)) 1.0)))
37.0ms
(- (exp (* a x)) 1.0)

simplify44.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 2 (11.0ms)

IterNodesCost
0151255
1414234
21256231
35001231

prune102.0ms

Filtered
53 candidates to 32 candidates (60.4%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New52153
Fresh066
Picked011
Done011
Total52961

Merged error: 8.4b

Counts
61 → 9

localize17.0ms

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)
4.1b
(- (pow (exp (* a x)) 3) (pow 1.0 3))

rewrite21.0ms

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))
4.0ms
(pow (exp (* a x)) 3)
12.0ms
(- (pow (exp (* a x)) 3) (pow 1.0 3))

series107.0ms

Counts
4 → 12
Calls
4 calls:
12.0ms
(exp (* a x))
12.0ms
(exp (* a x))
29.0ms
(pow (exp (* a x)) 3)
53.0ms
(- (pow (exp (* a x)) 3) (pow 1.0 3))

simplify43.0ms

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0256538
1977520
25001497

prune197.0ms

Filtered
91 candidates to 50 candidates (54.9%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New86591
Fresh336
Picked101
Done022
Total9010100

Merged error: 8.3b

Counts
100 → 10

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(exp (* a x))
0.0b
(exp (* a x))
0.2b
(* (* a x) 3)
4.1b
(- (exp (* (* a x) 3)) (pow 1.0 3))

rewrite17.0ms

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)
7.0ms
(- (exp (* (* a x) 3)) (pow 1.0 3))

series93.0ms

Counts
4 → 12
Calls
4 calls:
13.0ms
(exp (* a x))
12.0ms
(exp (* a x))
19.0ms
(* (* a x) 3)
49.0ms
(- (exp (* (* a x) 3)) (pow 1.0 3))

simplify39.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0258363
11078329
25001325

prune157.0ms

Filtered
70 candidates to 43 candidates (61.4%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New67370
Fresh257
Picked101
Done112
Total71980

Merged error: 8.3b

Counts
80 → 9

regimes317.0ms

Accuracy

93.8% (1.3b remaining)

Error of 9.1b against oracle of 7.8b and baseline of 28.9b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04527
14527

end0.0ms

sample1.0s

Algorithm
intervals
Results
473.0ms2674×body1280valid
156.0ms1321×body640valid
135.0ms5481×body80valid
61.0ms744×body320valid
20.0ms372×body160valid

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