Details

Time bar (total: 1.9s)

analyze3.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%74.6%25.4%0
0%74.6%25.4%1
37.3%37.3%25.4%2
37.3%18.7%44%3
46.7%9.3%44%4
46.7%4.7%48.7%5
49%2.3%48.7%6
49%1.2%49.8%7
49.6%0.6%49.8%8
49.9%0.3%49.8%9
49.9%0.1%50%10
49.9%0.1%50.1%11
49.9%0%50.1%12
49.9%0%50.1%13
49.9%0%50.1%14

sample35.0ms

Algorithm
intervals
Results
16.0ms116×body1280valid
8.0ms78×body640valid
3.0ms256×pre80true
2.0ms34×body320valid
1.0ms25×body160valid
0.0ms3×body80valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
0684
1684

prune2.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 59.3b

Counts
2 → 1

localize3.0ms

Local error

Found 1 expressions with local error:

7.0b
(- (exp x) 1.0)

rewrite4.0ms

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

series2.0ms

Counts
1 → 3
Calls
1 calls:
2.0ms
(- (exp x) 1.0)

simplify64.0ms

Algorithm
egg-herbie
Counts
16 → 16
Iterations

Useful iterations: 0 (61.0ms)

IterNodesCost
04883115
14883115

prune32.0ms

Filtered
12 candidates to 16 candidates (-33.3%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New14216
Fresh000
Picked101
Done000
Total15217

Merged error: 0.1b

Counts
17 → 2

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(* x (+ 1/2 (* x 1/6)))
0.0b
(* x (* x (+ 1/2 (* x 1/6))))
0.3b
(* x 1/6)

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
12×pow1 add-exp-log add-sqr-sqrt add-cbrt-cube
9×associate-*l*
8×add-cube-cbrt *-un-lft-identity
7×associate-*r*
6×associate-*r/
5×distribute-rgt-in distribute-lft-in pow-prod-down prod-exp cbrt-unprod
3×*-commutative add-log-exp
2×flip3-+ flip-+ unswap-sqr
Counts
3 → 64
Calls
3 calls:
5.0ms
(* x (+ 1/2 (* x 1/6)))
6.0ms
(* x (* x (+ 1/2 (* x 1/6))))
3.0ms
(* x 1/6)

series14.0ms

Counts
3 → 9
Calls
3 calls:
5.0ms
(* x (+ 1/2 (* x 1/6)))
6.0ms
(* x (* x (+ 1/2 (* x 1/6))))
2.0ms
(* x 1/6)

simplify47.0ms

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
04918560
14918560

prune72.0ms

Filtered
48 candidates to 73 candidates (-52.1%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New72173
Fresh011
Picked011
Done000
Total72375

Merged error: 0.1b

Counts
75 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(* x (log (pow (exp x) (+ (* x 1/6) 1/2))))
0.0b
(pow (exp x) (+ (* x 1/6) 1/2))
0.3b
(* x 1/6)
7.0b
(log (pow (exp x) (+ (* x 1/6) 1/2)))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
24×log-prod
21×add-sqr-sqrt
17×add-cube-cbrt *-un-lft-identity
12×unpow-prod-down
9×pow1 add-exp-log
8×distribute-rgt-in distribute-lft-in add-cbrt-cube
7×associate-*r*
6×associate-*l*
4×unpow-prod-up pow-pow add-log-exp sqr-pow
3×pow-unpow exp-prod rem-log-exp
2×pow-to-exp pow-prod-down pow-exp prod-exp log-pow *-commutative cbrt-unprod unswap-sqr
Counts
4 → 93
Calls
4 calls:
6.0ms
(* x (log (pow (exp x) (+ (* x 1/6) 1/2))))
5.0ms
(pow (exp x) (+ (* x 1/6) 1/2))
4.0ms
(* x 1/6)
3.0ms
(log (pow (exp x) (+ (* x 1/6) 1/2)))

series42.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(* x (log (pow (exp x) (+ (* x 1/6) 1/2))))
5.0ms
(pow (exp x) (+ (* x 1/6) 1/2))
2.0ms
(* x 1/6)
15.0ms
(log (pow (exp x) (+ (* x 1/6) 1/2)))

simplify71.0ms

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 0 (59.0ms)

IterNodesCost
049731060
149731060

prune107.0ms

Filtered
63 candidates to 105 candidates (-66.7%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1050105
Fresh011
Picked011
Done011
Total1053108

Merged error: 0.1b

Counts
108 → 3

localize7.0ms

Local error

Found 2 expressions with local error:

7.0b
(log (exp (- (exp x) 1.0)))
7.0b
(- (exp x) 1.0)

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt *-un-lft-identity
6×log-pow
5×exp-prod
4×add-cube-cbrt log-prod add-log-exp
3×pow1
2×add-exp-log sub-neg add-cbrt-cube distribute-lft-out-- difference-of-squares
1×log-div flip3-- exp-diff diff-log rem-log-exp exp-sum flip--
Counts
2 → 32
Calls
2 calls:
5.0ms
(log (exp (- (exp x) 1.0)))
4.0ms
(- (exp x) 1.0)

series4.0ms

Counts
2 → 6
Calls
2 calls:
2.0ms
(log (exp (- (exp x) 1.0)))
2.0ms
(- (exp x) 1.0)

simplify58.0ms

Algorithm
egg-herbie
Counts
38 → 38
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
04862247
14862247

prune39.0ms

Filtered
27 candidates to 38 candidates (-40.7%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New37138
Fresh000
Picked011
Done112
Total38341

Merged error: 0.1b

Counts
41 → 3

regimes119.0ms

Accuracy

0% (0.3b remaining)

Error of 0.5b against oracle of 0.3b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01311
11311

end0.0ms

sample1.1s

Algorithm
intervals
Results
536.0ms3427×body1280valid
240.0ms2529×body640valid
82.0ms8002×pre80true
73.0ms1218×body320valid
24.0ms629×body160valid
4.0ms197×body80valid
0.0ms2×body80invalid

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