Details

Time bar (total: 1.2s)

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

sample10.0ms

Algorithm
intervals
Results
5.0ms256×body80valid

simplify14.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (12.0ms)

IterNodesCost
03087
13087

prune2.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

0.1b
(/ (- (* 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
4×associate-/l* difference-of-squares
3×add-exp-log associate-/r* add-cbrt-cube
2×associate-/l/
1×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)

series6.0ms

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

simplify44.0ms

Algorithm
egg-herbie
Counts
37 → 37
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
04958405
14958405

prune57.0ms

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: 0b

Counts
38 → 4

localize5.0ms

Local error

Found 1 expressions with local error:

0.2b
(* x (/ x 6.0))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
13×associate-*r*
10×times-frac
9×add-cube-cbrt *-un-lft-identity
6×add-exp-log add-cbrt-cube
3×pow1 associate-*l*
2×prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv associate-*r/ div-exp pow-prod-down *-commutative div-inv add-log-exp
Counts
1 → 32
Calls
1 calls:
6.0ms
(* x (/ x 6.0))

series3.0ms

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

simplify73.0ms

Algorithm
egg-herbie
Counts
35 → 35
Iterations

Useful iterations: 0 (69.0ms)

IterNodesCost
04842218
14842218

prune39.0ms

Filtered
24 candidates to 35 candidates (-45.8%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New35035
Fresh022
Picked011
Done011
Total35439

Merged error: 0b

Counts
39 → 4

localize5.0ms

Local error

Found 1 expressions with local error:

0.1b
(* (- (* x x) 3.0) (/ 1 6.0))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×associate-*r*
11×times-frac
10×add-exp-log *-un-lft-identity
9×add-cube-cbrt
6×add-cbrt-cube
4×associate-*l* prod-exp
3×pow1 unswap-sqr
2×frac-times flip3-- div-exp associate-*l/ flip-- cbrt-unprod
1×cbrt-undiv rec-exp 1-exp associate-*r/ pow-prod-down un-div-inv *-commutative div-inv add-log-exp difference-of-squares
Counts
1 → 41
Calls
1 calls:
10.0ms
(* (- (* x x) 3.0) (/ 1 6.0))

series6.0ms

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

simplify38.0ms

Algorithm
egg-herbie
Counts
44 → 44
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
05113413

prune48.0ms

Filtered
30 candidates to 44 candidates (-46.7%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New44044
Fresh011
Picked011
Done022
Total44448

Merged error: 0b

Counts
48 → 4

localize6.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ (/ (- (* x x) 3.0) (sqrt 6.0)) (sqrt 6.0))
0.8b
(/ (- (* x x) 3.0) (sqrt 6.0))

rewrite37.0ms

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*
9×add-exp-log add-cbrt-cube div-inv
4×cbrt-undiv div-exp
3×div-sub associate-/l/
2×pow1 frac-2neg clear-num add-log-exp
1×flip3-- flip--
Counts
2 → 267
Calls
2 calls:
14.0ms
(/ (/ (- (* 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:
19.0ms
(/ (/ (- (* x x) 3.0) (sqrt 6.0)) (sqrt 6.0))
10.0ms
(/ (- (* x x) 3.0) (sqrt 6.0))

simplify97.0ms

Algorithm
egg-herbie
Counts
273 → 273
Iterations

Useful iterations: 0 (62.0ms)

IterNodesCost
052634957

prune284.0ms

Filtered
120 candidates to 273 candidates (-127.5%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New2730273
Fresh000
Picked011
Done033
Total2734277

Merged error: 0b

Counts
277 → 4

regimes106.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0167
1167

end0.0ms

sample253.0ms

Algorithm
intervals
Results
173.0ms8000×body80valid

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