Details

Time bar (total: 1.3s)

analyze7.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%50%50%0
0%50%50%1
0%50%50%2
0%50%50%3
37.5%12.5%50%4
43.7%6.2%50%5
46.9%3.1%50%6
48.4%1.6%50%7
49.2%0.8%50%8
49.6%0.4%50%9
49.8%0.2%50%10
49.9%0.1%50%11
49.9%0%50%12
50%0%50%13
50%0%50%14

sample21.0ms

Algorithm
intervals
Results
13.0ms256×body80valid
3.0ms256×pre80true

simplify43.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
0550715

prune8.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 2

localize13.0ms

Local error

Found 1 expressions with local error:

0.1b
(/ i (* 2.0 (* 2.0 (- (* i (* 2.0 2.0)) (/ 1.0 i)))))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
10×add-exp-log add-cbrt-cube
associate-*r/
cbrt-undiv add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac div-exp prod-exp cbrt-unprod associate-/l*
associate-/r/
pow1 flip3-- frac-2neg clear-num associate-/r* flip-- div-inv add-log-exp
Counts
1 → 25
Calls
1 calls:
13.0ms
(/ i (* 2.0 (* 2.0 (- (* i (* 2.0 2.0)) (/ 1.0 i)))))

series6.0ms

Counts
1 → 3
Calls
1 calls:
6.0ms
(/ i (* 2.0 (* 2.0 (- (* i (* 2.0 2.0)) (/ 1.0 i)))))

simplify32.0ms

Algorithm
egg-herbie
Counts
28 → 28
Iterations

Useful iterations: 0 (28.0ms)

IterNodesCost
04960463
14960463

prune47.0ms

Filtered
20 candidates to 28 candidates (-40.0%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New27128
Fresh011
Picked011
Done000
Total27330

Merged error: 0b

Counts
30 → 3

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b
(* 4.0 (pow i 6))
0.0b
(+ (* 1.0 (pow i 4)) (* 4.0 (pow i 6)))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
add-exp-log associate-*r*
add-cube-cbrt *-un-lft-identity
unpow-prod-down add-cbrt-cube add-log-exp
associate-*l* prod-exp unswap-sqr
pow1 sqr-pow
+-commutative pow-to-exp flip3-+ pow-exp sum-log *-commutative cbrt-unprod flip-+
Counts
2 → 36
Calls
2 calls:
5.0ms
(* 4.0 (pow i 6))
5.0ms
(+ (* 1.0 (pow i 4)) (* 4.0 (pow i 6)))

series16.0ms

Counts
2 → 6
Calls
2 calls:
4.0ms
(* 4.0 (pow i 6))
11.0ms
(+ (* 1.0 (pow i 4)) (* 4.0 (pow i 6)))

simplify46.0ms

Algorithm
egg-herbie
Counts
42 → 42
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
04897382
14897382

prune66.0ms

Filtered
27 candidates to 42 candidates (-55.6%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New42042
Fresh011
Picked011
Done011
Total42345

Merged error: 0b

Counts
45 → 3

localize11.0ms

Local error

Found 3 expressions with local error:

0.1b
(* (* i i) (* i i))
15.8b
(/ (/ (* (* i i) (* i i)) (* (* 2.0 i) (* 2.0 i))) (- (* (* 2.0 i) (* 2.0 i)) 1.0))
40.5b
(/ (* (* i i) (* i i)) (* (* 2.0 i) (* 2.0 i)))

rewrite83.0ms

Algorithm
rewrite-expression-head
Rules
302×add-exp-log add-cbrt-cube
168×prod-exp cbrt-unprod
114×pow1
76×cbrt-undiv div-exp
36×pow-prod-up
26×times-frac
23×pow-prod-down
22×pow-sqr
20×add-sqr-sqrt
18×pow-plus
14×add-cube-cbrt *-un-lft-identity
13×pow2
div-inv
associate-/l* difference-of-squares
associate-/r*
add-log-exp
frac-2neg clear-num associate-/r/
flip3-- swap-sqr associate-*r* associate-*l* *-commutative flip-- associate-/l/ unswap-sqr
Counts
3 → 220
Calls
3 calls:
8.0ms
(* (* i i) (* i i))
33.0ms
(/ (/ (* (* i i) (* i i)) (* (* 2.0 i) (* 2.0 i))) (- (* (* 2.0 i) (* 2.0 i)) 1.0))
24.0ms
(/ (* (* i i) (* i i)) (* (* 2.0 i) (* 2.0 i)))

series12.0ms

Counts
3 → 9
Calls
3 calls:
3.0ms
(* (* i i) (* i i))
5.0ms
(/ (/ (* (* i i) (* i i)) (* (* 2.0 i) (* 2.0 i))) (- (* (* 2.0 i) (* 2.0 i)) 1.0))
3.0ms
(/ (* (* i i) (* i i)) (* (* 2.0 i) (* 2.0 i)))

simplify105.0ms

Algorithm
egg-herbie
Counts
229 → 229
Iterations

Useful iterations: 0 (86.0ms)

IterNodesCost
049622473
149622473

prune128.0ms

Filtered
69 candidates to 229 candidates (-231.9%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New2290229
Fresh000
Picked011
Done022
Total2293232

Merged error: 0b

Counts
232 → 3

regimes55.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03015
13015

end0.0ms

sample596.0ms

Algorithm
intervals
Results
414.0ms8000×body80valid
82.0ms8000×pre80true

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