Details

Time bar (total: 1.4s)

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

sample17.0ms

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: 0.3b

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
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)

series5.0ms

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

simplify43.0ms

Algorithm
egg-herbie
Counts
37 → 37
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
04958405
14958405

prune58.0ms

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 1 expressions with local error:

0.1b
(* x (/ x 6.0))

rewrite8.0ms

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))

simplify74.0ms

Algorithm
egg-herbie
Counts
35 → 35
Iterations

Useful iterations: 0 (69.0ms)

IterNodesCost
04842218
14842218

prune42.0ms

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

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New34135
Fresh022
Picked011
Done011
Total34539

Merged error: 0b

Counts
39 → 5

localize4.0ms

Local error

Found 1 expressions with local error:

0.2b
(* x (* x 0.16666666666666666))

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
6×pow1 add-exp-log add-cbrt-cube
3×associate-*l* pow-prod-down prod-exp cbrt-unprod
2×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
1×associate-*r* *-commutative add-log-exp
Counts
1 → 18
Calls
1 calls:
5.0ms
(* x (* x 0.16666666666666666))

series3.0ms

Counts
1 → 3
Calls
1 calls:
3.0ms
(* x (* x 0.16666666666666666))

simplify50.0ms

Algorithm
egg-herbie
Counts
21 → 21
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
05077120

prune24.0ms

Filtered
11 candidates to 21 candidates (-90.9%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New21021
Fresh022
Picked011
Done022
Total21526

Merged error: 0b

Counts
26 → 5

localize9.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (cbrt (- (* x x) 3.0)) (sqrt 6.0))
0.4b
(cbrt (- (* x x) 3.0))
0.4b
(cbrt (- (* x x) 3.0))
0.4b
(cbrt (- (* x x) 3.0))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
47×add-sqr-sqrt
42×times-frac
40×cbrt-prod
37×add-cube-cbrt *-un-lft-identity
24×sqrt-prod
10×difference-of-squares
8×cbrt-div
7×associate-/l*
6×add-exp-log associate-/r*
5×add-cbrt-cube
4×pow1 flip3-- flip-- add-log-exp
3×pow1/3
2×associate-/l/
1×cbrt-undiv frac-2neg div-exp clear-num div-inv
Counts
4 → 111
Calls
4 calls:
8.0ms
(/ (cbrt (- (* x x) 3.0)) (sqrt 6.0))
4.0ms
(cbrt (- (* x x) 3.0))
4.0ms
(cbrt (- (* x x) 3.0))
4.0ms
(cbrt (- (* x x) 3.0))

series55.0ms

Counts
4 → 12
Calls
4 calls:
17.0ms
(/ (cbrt (- (* x x) 3.0)) (sqrt 6.0))
12.0ms
(cbrt (- (* x x) 3.0))
14.0ms
(cbrt (- (* x x) 3.0))
12.0ms
(cbrt (- (* x x) 3.0))

simplify72.0ms

Algorithm
egg-herbie
Counts
123 → 123
Iterations

Useful iterations: 0 (59.0ms)

IterNodesCost
049671852
149671852

prune279.0ms

Filtered
88 candidates to 123 candidates (-39.8%)
Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New1230123
Fresh011
Picked011
Done033
Total1235128

Merged error: 0b

Counts
128 → 5

regimes169.0ms

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 (1.0ms)

IterNodesCost
0259
1259

end0.0ms

sample419.0ms

Algorithm
intervals
Results
144.0ms8000×body80valid

Profiling

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