Details

Time bar (total: 1.3s)

analyze5.0ms

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

sample23.0ms

Algorithm
intervals
Results
9.0ms256×body80valid

simplify20.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (18.0ms)

IterNodesCost
03087
13087

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite12.0ms

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:
10.0ms
(/ (- (* x x) 3.0) 6.0)

series9.0ms

Counts
1 → 3
Calls
1 calls:
9.0ms
(/ (- (* x x) 3.0) 6.0)

simplify62.0ms

Algorithm
egg-herbie
Counts
37 → 37
Iterations

Useful iterations: 0 (56.0ms)

IterNodesCost
04958405
14958405

prune86.0ms

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

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New33437
Fresh000
Picked101
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))

simplify72.0ms

Algorithm
egg-herbie
Counts
35 → 35
Iterations

Useful iterations: 0 (68.0ms)

IterNodesCost
04842218
14842218

prune42.0ms

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

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New35035
Fresh033
Picked011
Done000
Total35439

Merged error: 0b

Counts
39 → 4

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
114×times-frac
78×add-sqr-sqrt
62×add-cube-cbrt *-un-lft-identity
22×associate-/r*
16×difference-of-squares
15×add-exp-log
11×associate-/r/
9×add-cbrt-cube
8×div-exp
6×div-inv associate-/l*
5×flip3-- flip--
4×cbrt-undiv
3×pow1
2×rec-exp frac-2neg 1-exp clear-num add-log-exp
1×pow-flip inv-pow
Counts
2 → 129
Calls
2 calls:
5.0ms
(/ 6.0 (- (* x x) 3.0))
9.0ms
(/ 1 (/ 6.0 (- (* x x) 3.0)))

series9.0ms

Counts
2 → 6
Calls
2 calls:
3.0ms
(/ 6.0 (- (* x x) 3.0))
5.0ms
(/ 1 (/ 6.0 (- (* x x) 3.0)))

simplify58.0ms

Algorithm
egg-herbie
Counts
135 → 135
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
054391849

prune159.0ms

Filtered
90 candidates to 135 candidates (-50.0%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1350135
Fresh022
Picked011
Done011
Total1354139

Merged error: 0b

Counts
139 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (cbrt (- (* x x) 3.0)) (cbrt (- (* x x) 3.0)))
0.2b
(cbrt (- (* x x) 3.0))
0.2b
(cbrt (- (* x x) 3.0))
0.2b
(cbrt (- (* x x) 3.0))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
32×cbrt-prod
30×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×flip3-- pow1/3 flip--
7×swap-sqr associate-*r* associate-*l* difference-of-squares
6×add-exp-log
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 93
Calls
4 calls:
11.0ms
(* (cbrt (- (* x x) 3.0)) (cbrt (- (* x x) 3.0)))
4.0ms
(cbrt (- (* x x) 3.0))
4.0ms
(cbrt (- (* x x) 3.0))
4.0ms
(cbrt (- (* x x) 3.0))

series48.0ms

Counts
4 → 12
Calls
4 calls:
12.0ms
(* (cbrt (- (* x x) 3.0)) (cbrt (- (* x x) 3.0)))
12.0ms
(cbrt (- (* x x) 3.0))
12.0ms
(cbrt (- (* x x) 3.0))
12.0ms
(cbrt (- (* x x) 3.0))

simplify72.0ms

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 0 (60.0ms)

IterNodesCost
053741345

prune191.0ms

Filtered
77 candidates to 105 candidates (-36.4%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1050105
Fresh011
Picked011
Done022
Total1054109

Merged error: 0b

Counts
109 → 4

regimes128.0ms

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

sample241.0ms

Algorithm
intervals
Results
163.0ms8000×body80valid

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