Details

Time bar (total: 2.2s)

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

sample40.0ms

Algorithm
intervals
Results
17.0ms110×body1280valid
6.0ms71×body640valid
3.0ms256×pre80true
2.0ms39×body320valid
1.0ms25×body160valid
0.0ms11×body80valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (4.0ms)

IterNodesCost
0684
1684

prune2.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 57.9b

Counts
2 → 1

localize3.0ms

Local error

Found 1 expressions with local error:

8.4b
(- (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)

simplify72.0ms

Algorithm
egg-herbie
Counts
16 → 16
Iterations

Useful iterations: 0 (69.0ms)

IterNodesCost
04883115
14883115

prune39.0ms

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

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New12416
Fresh000
Picked101
Done000
Total13417

Merged error: 0.2b

Counts
17 → 4

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)

rewrite19.0ms

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))))
6.0ms
(* 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)

simplify48.0ms

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
04918560
14918560

prune75.0ms

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

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New72173
Fresh123
Picked011
Done000
Total73477

Merged error: 0.1b

Counts
77 → 4

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(pow (exp x) (+ (* x 1/6) 1/2))
0.3b
(* x 1/6)
4.8b
(log (pow (pow (exp x) (+ (* x 1/6) 1/2)) x))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
14×unpow-prod-down
13×add-sqr-sqrt
12×log-prod
11×add-cube-cbrt *-un-lft-identity
7×add-exp-log
6×pow1
5×rem-log-exp pow-exp add-cbrt-cube
4×pow-pow
3×pow-to-exp pow-unpow exp-prod associate-*r* associate-*l* add-log-exp sqr-pow
2×unpow-prod-up
1×pow-prod-down prod-exp log-pow *-commutative cbrt-unprod unswap-sqr
Counts
3 → 64
Calls
3 calls:
7.0ms
(pow (exp x) (+ (* x 1/6) 1/2))
3.0ms
(* x 1/6)
4.0ms
(log (pow (pow (exp x) (+ (* x 1/6) 1/2)) x))

series29.0ms

Counts
3 → 9
Calls
3 calls:
5.0ms
(pow (exp x) (+ (* x 1/6) 1/2))
2.0ms
(* x 1/6)
22.0ms
(log (pow (pow (exp x) (+ (* x 1/6) 1/2)) x))

simplify96.0ms

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 0 (89.0ms)

IterNodesCost
04992686
14992686

prune103.0ms

Filtered
46 candidates to 73 candidates (-58.7%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New72173
Fresh022
Picked011
Done011
Total72577

Merged error: 0.1b

Counts
77 → 5

localize17.0ms

Local error

Found 4 expressions with local error:

0.3b
(* x 1/6)
0.3b
(* x 1/6)
8.5b
(log (cbrt (pow (exp x) (+ (* x 1/6) 1/2))))
8.5b
(log (cbrt (pow (exp x) (+ (* x 1/6) 1/2))))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
22×log-prod
18×add-sqr-sqrt
16×cbrt-prod
14×add-cube-cbrt *-un-lft-identity
10×pow1 add-exp-log
8×add-cbrt-cube
6×unpow-prod-down associate-*r* associate-*l*
4×log-pow add-log-exp
2×unpow-prod-up pow1/3 rem-log-exp pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr sqr-pow
Counts
4 → 78
Calls
4 calls:
4.0ms
(* x 1/6)
3.0ms
(* x 1/6)
4.0ms
(log (cbrt (pow (exp x) (+ (* x 1/6) 1/2))))
4.0ms
(log (cbrt (pow (exp x) (+ (* x 1/6) 1/2))))

series72.0ms

Counts
4 → 12
Calls
4 calls:
2.0ms
(* x 1/6)
2.0ms
(* x 1/6)
35.0ms
(log (cbrt (pow (exp x) (+ (* x 1/6) 1/2))))
33.0ms
(log (cbrt (pow (exp x) (+ (* x 1/6) 1/2))))

simplify64.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 0 (55.0ms)

IterNodesCost
04759862
14759862

prune217.0ms

Filtered
62 candidates to 90 candidates (-45.2%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New88290
Fresh022
Picked101
Done022
Total89695

Merged error: 0.1b

Counts
95 → 6

regimes169.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01311
11311

end0.0ms

sample1.1s

Algorithm
intervals
Results
539.0ms3404×body1280valid
252.0ms2544×body640valid
83.0ms8001×pre80true
78.0ms1252×body320valid
24.0ms617×body160valid
6.0ms183×body80valid
0.0ms1×body80invalid

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