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

sample23.0ms

Algorithm
intervals
Results
14.0ms256×body80valid
3.0ms256×pre80true

simplify42.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
0550715

prune13.0ms

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: 0.1b

Counts
2 → 2

localize9.0ms

Local error

Found 1 expressions with local error:

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

rewrite13.0ms

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:
12.0ms
(/ 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)))))

simplify33.0ms

Algorithm
egg-herbie
Counts
28 → 28
Iterations

Useful iterations: 0 (28.0ms)

IterNodesCost
04960463
14960463

prune45.0ms

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

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* 1.0 (pow i 4)) (* 4.0 (pow i 6)))
0.0b
(- (* i (neg (* i 0.25))) (+ (* 1.0 (pow i 4)) (* 4.0 (pow i 6))))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
add-log-exp
pow1 add-exp-log add-sqr-sqrt add-cube-cbrt *-un-lft-identity diff-log sum-log add-cbrt-cube
+-commutative sub-neg flip3-- flip3-+ flip-- flip-+ associate--r+
Counts
2 → 24
Calls
2 calls:
5.0ms
(+ (* 1.0 (pow i 4)) (* 4.0 (pow i 6)))
8.0ms
(- (* i (neg (* i 0.25))) (+ (* 1.0 (pow i 4)) (* 4.0 (pow i 6))))

series19.0ms

Counts
2 → 6
Calls
2 calls:
12.0ms
(+ (* 1.0 (pow i 4)) (* 4.0 (pow i 6)))
6.0ms
(- (* i (neg (* i 0.25))) (+ (* 1.0 (pow i 4)) (* 4.0 (pow i 6))))

simplify40.0ms

Algorithm
egg-herbie
Counts
30 → 30
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
05071586

prune55.0ms

Filtered
22 candidates to 30 candidates (-36.4%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New30030
Fresh011
Picked011
Done011
Total30333

Merged error: 0b

Counts
33 → 3

localize9.0ms

Local error

Found 3 expressions with local error:

0.1b
(* (* i i) (* i i))
14.8b
(/ (/ (* (* i i) (* i i)) (* (* 2.0 i) (* 2.0 i))) (- (* (* 2.0 i) (* 2.0 i)) 1.0))
43.3b
(/ (* (* i i) (* i i)) (* (* 2.0 i) (* 2.0 i)))

rewrite79.0ms

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:
10.0ms
(* (* i i) (* i i))
32.0ms
(/ (/ (* (* i i) (* i i)) (* (* 2.0 i) (* 2.0 i))) (- (* (* 2.0 i) (* 2.0 i)) 1.0))
22.0ms
(/ (* (* 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)))

simplify84.0ms

Algorithm
egg-herbie
Counts
229 → 229
Iterations

Useful iterations: 0 (64.0ms)

IterNodesCost
049622473
149622473

prune123.0ms

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

regimes53.0ms

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

sample645.0ms

Algorithm
intervals
Results
457.0ms8000×body80valid
83.0ms8000×pre80true

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