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
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

sample16.0ms

Algorithm
intervals
Results
10.0ms256×body80valid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
056
186
2106
3106

prune2.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 30.7b

Counts
2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(* 2.0 (* x x))
29.5b
(sqrt (* 2.0 (* x x)))

rewrite13.0ms

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)))

series14.0ms

Counts
2 → 6
Calls
2 calls:
3.0ms
(* 2.0 (* x x))
11.0ms
(sqrt (* 2.0 (* x x)))

simplify42.0ms

Algorithm
egg-herbie
Counts
37 → 37
Iterations

Useful iterations: 1 (37.0ms)

IterNodesCost
046247
193213
2283213
3581213
41104213
51816213
63822213
75142213

prune53.0ms

Filtered
24 candidates to 37 candidates (-54.2%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New34337
Fresh000
Picked011
Done000
Total34438

Merged error: 0.3b

Counts
38 → 4

localize4.0ms

Local error

Found 1 expressions with local error:

0.5b
(* (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))

simplify87.0ms

Algorithm
egg-herbie
Counts
25 → 25
Iterations

Useful iterations: 1 (83.0ms)

IterNodesCost
035175
165163
2167163
3221163
4331163
5590163
61130163
72981163
84181163
94850163
104989163
115076163

prune48.0ms

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

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New19625
Fresh202
Picked011
Done011
Total21829

Merged error: 0.0b

Counts
29 → 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))))

simplify78.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 6 (73.0ms)

IterNodesCost
067542
1131413
2349413
3551413
4690413
51006413
62410406
74404406
85298406

prune85.0ms

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

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New54256
Fresh415
Picked011
Done022
Total58664

Merged error: 0b

Counts
64 → 6

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
51×sqrt-prod
24×associate-*l*
23×add-sqr-sqrt
19×pow1 add-exp-log add-cbrt-cube
15×add-cube-cbrt *-un-lft-identity
14×associate-*r*
10×pow-prod-down prod-exp cbrt-unprod
4×unswap-sqr
3×*-commutative add-log-exp
Counts
3 → 84
Calls
3 calls:
7.0ms
(* (fabs x) (sqrt (sqrt (sqrt 2.0))))
14.0ms
(* (sqrt (sqrt (sqrt 2.0))) (* (sqrt (sqrt 2.0)) (* (fabs x) (sqrt (sqrt (sqrt 2.0))))))
10.0ms
(* (sqrt (sqrt 2.0)) (* (fabs x) (sqrt (sqrt (sqrt 2.0)))))

series60.0ms

Counts
3 → 9
Calls
3 calls:
22.0ms
(* (fabs x) (sqrt (sqrt (sqrt 2.0))))
4.0ms
(* (sqrt (sqrt (sqrt 2.0))) (* (sqrt (sqrt 2.0)) (* (fabs x) (sqrt (sqrt (sqrt 2.0))))))
34.0ms
(* (sqrt (sqrt 2.0)) (* (fabs x) (sqrt (sqrt (sqrt 2.0)))))

simplify54.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 1 (45.0ms)

IterNodesCost
01091227
1238817
2752817
31044817
41452817
52049817
64052817
75119817

prune164.0ms

Filtered
57 candidates to 93 candidates (-63.2%)
Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New93093
Fresh022
Picked011
Done033
Total93699

Merged error: 0b

Counts
99 → 6

regimes161.0ms

Accuracy

0% (0.4b 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
0916
11216
21216

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
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

sample278.0ms

Algorithm
intervals
Results
190.0ms8000×body80valid

Profiling

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