Details

Time bar (total: 2.0s)

analyze9.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
50%50%0%3
50%25%25%4
62.5%12.5%25%5
68.7%6.2%25%6
71.8%3.1%25%7
73.4%1.6%25%8
74.2%0.8%25%9
74.6%0.4%25%10
74.8%0.2%25%11
74.9%0.1%25%12
74.9%0%25%13
74.9%0%25%14

sample202.0ms

Algorithm
intervals
Results
184.0ms63×body1280valid
6.0ms69×body640valid
3.0ms91×body80valid
1.0ms23×body320valid
0.0ms10×body160valid

simplify476.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (62.0ms)

IterNodesCost
013559
113559

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 38.9b

Counts
2 → 1

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (+ x 1.0) (+ x 1.0))
2.8b
(- (* (+ x 1.0) (+ x 1.0)) 1.0)

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
20×*-un-lft-identity
9×pow1 add-sqr-sqrt
6×add-cube-cbrt flip3-+ swap-sqr flip-+ distribute-lft-out
4×add-exp-log frac-times associate-*r* associate-*l* add-cbrt-cube add-log-exp
2×distribute-rgt-in distribute-lft-in associate-*r/ associate-*l/ associate--l+
1×pow2 sub-neg flip3-- pow-plus diff-log pow-prod-down prod-exp pow-sqr *-commutative pow-prod-up flip-- cbrt-unprod difference-of-squares unswap-sqr
Counts
2 → 54
Calls
2 calls:
8.0ms
(* (+ x 1.0) (+ x 1.0))
17.0ms
(- (* (+ x 1.0) (+ x 1.0)) 1.0)

series16.0ms

Counts
2 → 6
Calls
2 calls:
2.0ms
(* (+ x 1.0) (+ x 1.0))
14.0ms
(- (* (+ x 1.0) (+ x 1.0)) 1.0)

simplify43.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
05115499

prune76.0ms

Filtered
36 candidates to 60 candidates (-66.7%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New57360
Fresh000
Picked101
Done000
Total58361

Merged error: 0b

Counts
61 → 3

localize3.0ms

Local error

Found 1 expressions with local error:

0.0b
(* x (+ x 2.0))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt *-un-lft-identity
4×associate-*r*
3×pow1 add-exp-log add-cube-cbrt associate-*l* add-cbrt-cube
2×associate-*r/
1×distribute-rgt-in distribute-lft-in flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ distribute-lft-out add-log-exp unswap-sqr
Counts
1 → 23
Calls
1 calls:
5.0ms
(* x (+ x 2.0))

series5.0ms

Counts
1 → 3
Calls
1 calls:
5.0ms
(* x (+ x 2.0))

simplify58.0ms

Algorithm
egg-herbie
Counts
26 → 26
Iterations

Useful iterations: 0 (55.0ms)

IterNodesCost
04887163
14887163

prune31.0ms

Filtered
16 candidates to 26 candidates (-62.5%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New25126
Fresh112
Picked011
Done000
Total26329

Merged error: 0b

Counts
29 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b
(cbrt (- (pow (+ x 1.0) 2) 1.0))
2.8b
(- (pow (+ x 1.0) 2) 1.0)
2.8b
(- (pow (+ x 1.0) 2) 1.0)
2.8b
(- (pow (+ x 1.0) 2) 1.0)

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
29×add-sqr-sqrt
16×difference-of-squares
13×*-un-lft-identity
10×add-log-exp
8×cbrt-prod
5×add-cube-cbrt
4×pow1 add-exp-log unpow-prod-down flip3-- add-cbrt-cube flip-- distribute-lft-out-- unpow2 sqr-pow
3×sub-neg diff-log
2×cbrt-div
1×pow1/3
Counts
4 → 66
Calls
4 calls:
6.0ms
(cbrt (- (pow (+ x 1.0) 2) 1.0))
7.0ms
(- (pow (+ x 1.0) 2) 1.0)
7.0ms
(- (pow (+ x 1.0) 2) 1.0)
7.0ms
(- (pow (+ x 1.0) 2) 1.0)

series26.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(cbrt (- (pow (+ x 1.0) 2) 1.0))
7.0ms
(- (pow (+ x 1.0) 2) 1.0)
5.0ms
(- (pow (+ x 1.0) 2) 1.0)
5.0ms
(- (pow (+ x 1.0) 2) 1.0)

simplify26.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 0 (19.0ms)

IterNodesCost
05327867

prune175.0ms

Filtered
56 candidates to 78 candidates (-39.3%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New78078
Fresh011
Picked011
Done011
Total78381

Merged error: 0b

Counts
81 → 3

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(pow (exp x) (+ x 2.0))
3.6b
(log (pow (exp x) (+ x 2.0)))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
9×*-un-lft-identity
8×log-prod
7×add-sqr-sqrt add-cube-cbrt
6×unpow-prod-down
4×pow-unpow pow-pow
3×pow1 add-exp-log exp-prod rem-log-exp
2×unpow-prod-up pow-to-exp pow-exp add-cbrt-cube add-log-exp sqr-pow
1×log-pow distribute-lft-out
Counts
2 → 41
Calls
2 calls:
5.0ms
(pow (exp x) (+ x 2.0))
3.0ms
(log (pow (exp x) (+ x 2.0)))

series19.0ms

Counts
2 → 6
Calls
2 calls:
4.0ms
(pow (exp x) (+ x 2.0))
15.0ms
(log (pow (exp x) (+ x 2.0)))

simplify41.0ms

Algorithm
egg-herbie
Counts
47 → 47
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
05497374

prune47.0ms

Filtered
29 candidates to 47 candidates (-62.1%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New47047
Fresh000
Picked011
Done022
Total47350

Merged error: 0b

Counts
50 → 3

regimes59.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
065
165

end0.0ms

sample575.0ms

Algorithm
intervals
Results
227.0ms2245×body1280valid
131.0ms1634×body640valid
61.0ms2876×body80valid
50.0ms847×body320valid
16.0ms398×body160valid
0.0ms3×body80invalid

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