Details

Time bar (total: 2.7s)

sample40.0ms

Algorithm
intervals
Results
14.0ms77×body1280valid
6.0ms50×body640valid
5.0ms181×body80valid
2.0ms22×body320valid
1.0ms13×body160valid

simplify63.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0113
1183
2263
3483
41103
53183
616233
750013

prune3.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 30.4b

Counts
2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(exp (* a x))
4.0b
(- (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)

series12.0ms

Counts
2 → 6
Calls
2 calls:
4.0ms
(exp (* a x))
8.0ms
(- (exp (* a x)) 1.0)

simplify42.0ms

Algorithm
egg-herbie
Counts
30 → 30
Iterations

Useful iterations: 2 (12.0ms)

IterNodesCost
0115135
1333127
21116125
35001125

prune52.0ms

Filtered
30 candidates to 20 candidates (33.3%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New25530
Fresh000
Picked101
Done000
Total26531

Merged error: 7.6b

Counts
31 → 5

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b
(cbrt (pow (exp (* a x)) 3))
0.0b
(pow (exp (* a x)) 3)
0.0b
(exp (* a x))
4.0b
(- (cbrt (pow (exp (* a x)) 3)) 1.0)

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt
16×cbrt-prod
12×*-un-lft-identity
10×add-cube-cbrt
add-log-exp
unpow-prod-down cube-prod
pow1 add-cbrt-cube difference-of-squares
add-exp-log
pow-unpow pow-pow sqr-pow
cube-mult exp-prod exp-to-pow unpow3
pow-to-exp sub-neg flip3-- pow1/3 diff-log pow-exp flip-- rem-cbrt-cube rem-exp-log distribute-lft-out-- rem-cube-cbrt
Counts
4 → 74
Calls
4 calls:
4.0ms
(cbrt (pow (exp (* a x)) 3))
3.0ms
(pow (exp (* a x)) 3)
2.0ms
(exp (* a x))
8.0ms
(- (cbrt (pow (exp (* a x)) 3)) 1.0)

series24.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(cbrt (pow (exp (* a x)) 3))
9.0ms
(pow (exp (* a x)) 3)
4.0ms
(exp (* a x))
7.0ms
(- (cbrt (pow (exp (* a x)) 3)) 1.0)

simplify206.0ms

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0222436
1827399
24848388
35002388

prune81.0ms

Filtered
86 candidates to 46 candidates (46.5%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New86086
Fresh044
Picked011
Done000
Total86591

Merged error: 7.6b

Counts
91 → 5

localize8.0ms

Local error

Found 4 expressions with local error:

0.1b
(cbrt (- (exp (* a x)) 1.0))
4.0b
(- (exp (* a x)) 1.0)
4.0b
(- (exp (* a x)) 1.0)
4.0b
(- (exp (* a x)) 1.0)

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt *-un-lft-identity
10×add-log-exp
cbrt-prod add-cube-cbrt
pow1 add-exp-log flip3-- add-cbrt-cube flip-- distribute-lft-out-- difference-of-squares
sub-neg diff-log
cbrt-div
pow1/3
Counts
4 → 57
Calls
4 calls:
5.0ms
(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)

series44.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(cbrt (- (exp (* a x)) 1.0))
7.0ms
(- (exp (* a x)) 1.0)
7.0ms
(- (exp (* a x)) 1.0)
7.0ms
(- (exp (* a x)) 1.0)

simplify70.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 3 (63.0ms)

IterNodesCost
0172466
1517418
22052400
35002398

prune123.0ms

Filtered
69 candidates to 50 candidates (27.5%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New68169
Fresh033
Picked101
Done011
Total69574

Merged error: 7.6b

Counts
74 → 5

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b
(cbrt (- (exp (* a x)) 1.0))
4.0b
(- (exp (* a x)) 1.0)
4.0b
(- (exp (* a x)) 1.0)
4.0b
(- (sqrt (exp (* a x))) (sqrt 1.0))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt
15×*-un-lft-identity
10×add-log-exp
difference-of-squares
sqrt-prod
cbrt-prod add-cube-cbrt distribute-lft-out--
pow1 add-exp-log flip3-- add-cbrt-cube flip--
sub-neg diff-log
cbrt-div
pow1/3
Counts
4 → 61
Calls
4 calls:
4.0ms
(cbrt (- (exp (* a x)) 1.0))
4.0ms
(- (exp (* a x)) 1.0)
4.0ms
(- (exp (* a x)) 1.0)
8.0ms
(- (sqrt (exp (* a x))) (sqrt 1.0))

series46.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(cbrt (- (exp (* a x)) 1.0))
7.0ms
(- (exp (* a x)) 1.0)
7.0ms
(- (exp (* a x)) 1.0)
10.0ms
(- (sqrt (exp (* a x))) (sqrt 1.0))

simplify87.0ms

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 3 (80.0ms)

IterNodesCost
0236546
1757500
22934483
35001481

prune142.0ms

Filtered
73 candidates to 51 candidates (30.1%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New70373
Fresh033
Picked101
Done011
Total71778

Merged error: 7.6b

Counts
78 → 7

regimes344.0ms

Accuracy

94% (1.3b remaining)

Error of 9.7b against oracle of 8.4b and baseline of 30.0b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05644
15644

end0.0ms

sample1.2s

Algorithm
intervals
Results
512.0ms2704×body1280valid
167.0ms1327×body640valid
142.0ms5396×body80valid
65.0ms772×body320valid
24.0ms386×body160valid

Profiling

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