Details

Time bar (total: 1.3s)

analyze3.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
50%50%0%3
75%25%0%4
75%12.5%12.5%5
75%6.2%18.8%6
75%3.1%21.9%7
75%1.6%23.5%8
75%0.8%24.3%9
75%0.4%24.6%10
75%0.2%24.8%11
75%0.1%24.9%12
75%0%25%13
75%0%25%14

sample11.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0147
1147

prune2.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.3b

Counts
2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

0.3b
(/ (- (* x x) 3.0) 6.0)

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
12×times-frac
10×add-cube-cbrt *-un-lft-identity
associate-/l* difference-of-squares
add-exp-log associate-/r* add-cbrt-cube
associate-/l/
pow1 cbrt-undiv flip3-- frac-2neg div-sub div-exp clear-num flip-- div-inv add-log-exp
Counts
1 → 34
Calls
1 calls:
6.0ms
(/ (- (* x x) 3.0) 6.0)

series5.0ms

Counts
1 → 3
Calls
1 calls:
5.0ms
(/ (- (* x x) 3.0) 6.0)

simplify50.0ms

Algorithm
egg-herbie
Counts
37 → 37
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
04959406
14959406

prune59.0ms

Filtered
30 candidates to 37 candidates (-23.3%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New34337
Fresh000
Picked011
Done000
Total34438

Merged error: 0.0b

Counts
38 → 4

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* x (/ x 6.0)) (/ 3.0 6.0))
0.1b
(* x (/ x 6.0))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
13×associate-*r*
10×add-cube-cbrt *-un-lft-identity times-frac
add-exp-log add-cbrt-cube
pow1 add-log-exp
associate-*r/ associate-*l*
prod-exp cbrt-unprod unswap-sqr
cbrt-undiv sub-neg flip3-- diff-log div-exp pow-prod-down *-commutative frac-sub flip-- div-inv sub-div
Counts
2 → 45
Calls
2 calls:
6.0ms
(- (* x (/ x 6.0)) (/ 3.0 6.0))
6.0ms
(* x (/ x 6.0))

series8.0ms

Counts
2 → 6
Calls
2 calls:
5.0ms
(- (* x (/ x 6.0)) (/ 3.0 6.0))
3.0ms
(* x (/ x 6.0))

simplify49.0ms

Algorithm
egg-herbie
Counts
51 → 51
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
05779406

prune56.0ms

Filtered
35 candidates to 51 candidates (-45.7%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New50151
Fresh112
Picked011
Done011
Total51455

Merged error: 0b

Counts
55 → 4

localize6.0ms

Local error

Found 2 expressions with local error:

0.1b
(* 6.0 (- (* x x) 3.0))
0.5b
(/ (* 6.0 (- (* x x) 3.0)) (* 6.0 6.0))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
16×add-exp-log add-cbrt-cube
add-sqr-sqrt
prod-exp cbrt-unprod
pow1 cbrt-undiv add-cube-cbrt *-un-lft-identity associate-*r/ div-exp associate-*r*
associate-*l*
sub-neg flip3-- flip-- associate-/l/ add-log-exp
distribute-rgt-in frac-2neg distribute-lft-in times-frac pow-prod-down clear-num associate-/r* *-commutative div-inv associate-/l* difference-of-squares unswap-sqr
Counts
2 → 46
Calls
2 calls:
6.0ms
(* 6.0 (- (* x x) 3.0))
9.0ms
(/ (* 6.0 (- (* x x) 3.0)) (* 6.0 6.0))

series11.0ms

Counts
2 → 6
Calls
2 calls:
5.0ms
(* 6.0 (- (* x x) 3.0))
5.0ms
(/ (* 6.0 (- (* x x) 3.0)) (* 6.0 6.0))

simplify46.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
04966443
14966443

prune48.0ms

Filtered
33 candidates to 52 candidates (-57.6%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New52052
Fresh011
Picked011
Done022
Total52456

Merged error: 0b

Counts
56 → 4

localize6.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ (/ (- (* x x) 3.0) (sqrt 6.0)) (sqrt 6.0))
1.0b
(/ (- (* x x) 3.0) (sqrt 6.0))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
360×times-frac
231×add-sqr-sqrt
186×sqrt-prod
182×add-cube-cbrt *-un-lft-identity
49×difference-of-squares
32×associate-/l*
12×associate-/r*
add-exp-log add-cbrt-cube div-inv
cbrt-undiv div-exp
div-sub associate-/l/
pow1 frac-2neg clear-num add-log-exp
flip3-- flip--
Counts
2 → 267
Calls
2 calls:
15.0ms
(/ (/ (- (* x x) 3.0) (sqrt 6.0)) (sqrt 6.0))
7.0ms
(/ (- (* x x) 3.0) (sqrt 6.0))

series29.0ms

Counts
2 → 6
Calls
2 calls:
18.0ms
(/ (/ (- (* x x) 3.0) (sqrt 6.0)) (sqrt 6.0))
10.0ms
(/ (- (* x x) 3.0) (sqrt 6.0))

simplify102.0ms

Algorithm
egg-herbie
Counts
273 → 273
Iterations

Useful iterations: 0 (68.0ms)

IterNodesCost
050814853

prune280.0ms

Filtered
121 candidates to 273 candidates (-125.6%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New2730273
Fresh000
Picked011
Done033
Total2734277

Merged error: 0b

Counts
277 → 4

regimes153.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
189

end0.0ms

analyze3.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
50%50%0%3
75%25%0%4
75%12.5%12.5%5
75%6.2%18.8%6
75%3.1%21.9%7
75%1.6%23.5%8
75%0.8%24.3%9
75%0.4%24.6%10
75%0.2%24.8%11
75%0.1%24.9%12
75%0%25%13
75%0%25%14

sample267.0ms

Algorithm
intervals
Results
177.0ms8000×body80valid

Profiling

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