Details

Time bar (total: 1.2s)

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
87.5%12.5%0%5
93.7%6.2%0%6
96.8%3.1%0%7
98.4%1.6%0%8
99.2%0.8%0%9
99.6%0.4%0%10
99.8%0.2%0%11
99.9%0.1%0%12
99.9%0%0%13
99.9%0%0.1%14

sample23.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0106
1106

prune2.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 30.0b

Counts
2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(* 2.0 (* x x))
29.0b
(sqrt (* 2.0 (* x x)))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
13×pow1
7×add-exp-log add-cbrt-cube
6×pow-prod-down
4×add-sqr-sqrt
3×add-cube-cbrt *-un-lft-identity sqrt-pow1 associate-*l* prod-exp cbrt-unprod
2×add-log-exp
1×pow1/2 associate-*r* sqrt-prod *-commutative unswap-sqr
Counts
2 → 31
Calls
2 calls:
5.0ms
(* 2.0 (* x x))
6.0ms
(sqrt (* 2.0 (* x x)))

series13.0ms

Counts
2 → 6
Calls
2 calls:
3.0ms
(* 2.0 (* x x))
10.0ms
(sqrt (* 2.0 (* x x)))

simplify42.0ms

Algorithm
egg-herbie
Counts
37 → 37
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
04914207
14914207

prune53.0ms

Filtered
23 candidates to 37 candidates (-60.9%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New34337
Fresh000
Picked011
Done000
Total34438

Merged error: 0.2b

Counts
38 → 4

localize4.0ms

Local error

Found 1 expressions with local error:

0.4b
(* (sqrt 2.0) (fabs x))

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt
6×associate-*l*
4×add-cube-cbrt *-un-lft-identity sqrt-prod
3×pow1 add-exp-log associate-*r* add-cbrt-cube
2×unswap-sqr
1×pow-prod-down prod-exp *-commutative cbrt-unprod add-log-exp
Counts
1 → 22
Calls
1 calls:
4.0ms
(* (sqrt 2.0) (fabs x))

series5.0ms

Counts
1 → 3
Calls
1 calls:
5.0ms
(* (sqrt 2.0) (fabs x))

simplify43.0ms

Algorithm
egg-herbie
Counts
25 → 25
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
04989163
14989163

prune49.0ms

Filtered
15 candidates to 25 candidates (-66.7%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New20525
Fresh202
Picked011
Done011
Total22729

Merged error: 0.0b

Counts
29 → 7

localize8.0ms

Local error

Found 2 expressions with local error:

0.2b
(* (fabs x) (cbrt (sqrt 2.0)))
0.3b
(* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (fabs x) (cbrt (sqrt 2.0))))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
16×pow1 add-exp-log
12×add-sqr-sqrt
10×associate-*r*
9×pow-prod-down prod-exp add-cbrt-cube cbrt-unprod
8×cbrt-prod
6×add-cube-cbrt *-un-lft-identity
4×associate-*l* sqrt-prod
3×unswap-sqr
2×*-commutative add-log-exp
Counts
2 → 48
Calls
2 calls:
5.0ms
(* (fabs x) (cbrt (sqrt 2.0)))
10.0ms
(* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (fabs x) (cbrt (sqrt 2.0))))

series28.0ms

Counts
2 → 6
Calls
2 calls:
24.0ms
(* (fabs x) (cbrt (sqrt 2.0)))
4.0ms
(* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (fabs x) (cbrt (sqrt 2.0))))

simplify58.0ms

Algorithm
egg-herbie
Counts
54 → 54
Iterations

Useful iterations: 0 (53.0ms)

IterNodesCost
05016368

prune100.0ms

Filtered
30 candidates to 54 candidates (-80.0%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New51354
Fresh134
Picked101
Done022
Total53861

Merged error: 0b

Counts
61 → 8

localize6.0ms

Local error

Found 2 expressions with local error:

0.2b
(* (fabs x) (sqrt (sqrt 2.0)))
0.3b
(* (sqrt (sqrt 2.0)) (* (fabs x) (sqrt (sqrt 2.0))))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
21×sqrt-prod
15×add-sqr-sqrt
12×associate-*l*
10×associate-*r*
9×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
4×pow-prod-down prod-exp cbrt-unprod
3×unswap-sqr
2×*-commutative add-log-exp
Counts
2 → 50
Calls
2 calls:
6.0ms
(* (fabs x) (sqrt (sqrt 2.0)))
9.0ms
(* (sqrt (sqrt 2.0)) (* (fabs x) (sqrt (sqrt 2.0))))

series9.0ms

Counts
2 → 6
Calls
2 calls:
5.0ms
(* (fabs x) (sqrt (sqrt 2.0)))
4.0ms
(* (sqrt (sqrt 2.0)) (* (fabs x) (sqrt (sqrt 2.0))))

simplify41.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
04892406
14892406

prune76.0ms

Filtered
33 candidates to 56 candidates (-69.7%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New54256
Fresh325
Picked011
Done112
Total58664

Merged error: 0b

Counts
64 → 6

regimes48.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01216
11216

end0.0ms

sample519.0ms

Algorithm
intervals
Results
176.0ms8000×body80valid

Profiling

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