Details

Time bar (total: 3.0s)

sample31.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0.07323%

Space saved by search: 0.048828%

Guaranteed chance to sample good point: 0%

Results
10.0ms256×body80valid

simplify638.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0103
1193
2463
31313
44353
519243
650013

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 30.9b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* 2.0 (pow x 2.0))
29.7b
(sqrt (* 2.0 (pow x 2.0)))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
7×add-exp-log associate-*r*
5×add-cube-cbrt *-un-lft-identity
4×unpow-prod-down add-cbrt-cube
3×pow1 associate-*l* prod-exp unswap-sqr
2×add-log-exp sqr-pow
1×pow-to-exp sqrt-pow1 pow1/2 pow-exp sqrt-prod *-commutative cbrt-unprod
Counts
2 → 35
Calls
2 calls:
5.0ms
(* 2.0 (pow x 2.0))
5.0ms
(sqrt (* 2.0 (pow x 2.0)))

series146.0ms

Counts
2 → 6
Calls
2 calls:
64.0ms
(* 2.0 (pow x 2.0))
81.0ms
(sqrt (* 2.0 (pow x 2.0)))

simplify86.0ms

Algorithm
egg-herbie
Counts
41 → 41
Iterations

Useful iterations: 2 (21.0ms)

IterNodesCost
0222193
1781182
23046174
35001174

prune94.0ms

Filtered
32 candidates to 41 candidates (-28.1%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New34741
Fresh000
Picked011
Done000
Total34842

Merged error: 15.1b

Counts
42 → 8

localize5.0ms

Local error

Found 1 expressions with local error:

0.5b
(* (pow x 1.0) (sqrt 2.0))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
7×associate-*l*
6×add-exp-log associate-*r* sqrt-prod unswap-sqr
5×add-cube-cbrt unpow-prod-down *-un-lft-identity
3×prod-exp add-cbrt-cube sqr-pow
1×pow1 pow-to-exp pow-exp *-commutative cbrt-unprod add-log-exp
Counts
1 → 31
Calls
1 calls:
6.0ms
(* (pow x 1.0) (sqrt 2.0))

series65.0ms

Counts
1 → 3
Calls
1 calls:
65.0ms
(* (pow x 1.0) (sqrt 2.0))

simplify56.0ms

Algorithm
egg-herbie
Counts
34 → 34
Iterations

Useful iterations: 2 (14.0ms)

IterNodesCost
0167195
1501188
22010182
35002182

prune69.0ms

Filtered
21 candidates to 34 candidates (-61.9%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New30434
Fresh336
Picked011
Done011
Total33942

Merged error: 15.0b

Counts
42 → 9

localize7.0ms

Local error

Found 2 expressions with local error:

0.2b
(* (pow x 1.0) (sqrt (sqrt 2.0)))
0.3b
(* (* (pow x 1.0) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
27×sqrt-prod
25×add-sqr-sqrt
18×associate-*r*
17×add-exp-log
10×add-cube-cbrt *-un-lft-identity prod-exp
9×add-cbrt-cube unswap-sqr
8×associate-*l*
6×unpow-prod-down
4×pow1 cbrt-unprod sqr-pow
2×pow-to-exp pow-exp *-commutative add-log-exp
1×pow-prod-down
Counts
2 → 62
Calls
2 calls:
8.0ms
(* (pow x 1.0) (sqrt (sqrt 2.0)))
12.0ms
(* (* (pow x 1.0) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))

series129.0ms

Counts
2 → 6
Calls
2 calls:
66.0ms
(* (pow x 1.0) (sqrt (sqrt 2.0)))
63.0ms
(* (* (pow x 1.0) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))

simplify107.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
0253522
1993466
23875444
35001444

prune130.0ms

Filtered
37 candidates to 68 candidates (-83.8%)
Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New63568
Fresh426
Picked011
Done022
Total671077

Merged error: 15.0b

Counts
77 → 10

localize11.0ms

Local error

Found 3 expressions with local error:

0.2b
(* (pow x 1.0) (sqrt (sqrt 2.0)))
0.3b
(* (* (pow x 1.0) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0))))
0.3b
(* (* (* (pow x 1.0) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0))))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
54×sqrt-prod
34×add-exp-log
33×associate-*r*
31×add-sqr-sqrt
22×prod-exp
19×add-cbrt-cube
16×add-cube-cbrt *-un-lft-identity
10×pow1 cbrt-unprod
9×associate-*l* unswap-sqr
6×unpow-prod-down
4×pow-prod-down sqr-pow
3×pow-to-exp pow-exp *-commutative add-log-exp
Counts
3 → 96
Calls
3 calls:
8.0ms
(* (pow x 1.0) (sqrt (sqrt 2.0)))
11.0ms
(* (* (pow x 1.0) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0))))
16.0ms
(* (* (* (pow x 1.0) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0))))

series223.0ms

Counts
3 → 9
Calls
3 calls:
64.0ms
(* (pow x 1.0) (sqrt (sqrt 2.0)))
93.0ms
(* (* (pow x 1.0) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0))))
65.0ms
(* (* (* (pow x 1.0) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0))))

simplify58.0ms

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
03801043
11886882
25001803

prune206.0ms

Filtered
58 candidates to 105 candidates (-81.0%)
Pruning

10 alts after pruning (6 fresh and 4 done)

PrunedKeptTotal
New1050105
Fresh066
Picked011
Done033
Total10510115

Merged error: 15.0b

Counts
115 → 10

regimes371.0ms

Accuracy

98.5% (0.2b remaining)

Error of 15.1b against oracle of 14.8b and baseline of 30.9b

bsearch20.0ms

Steps
ItersRangePoint
8
-6.841243171878132e-305
9.918601104620744e-308
-6.0132288157647e-310

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01710
11710

end0.0ms

sample419.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0.07323%

Space saved by search: 0.048828%

Guaranteed chance to sample good point: 0%

Results
314.0ms8000×body80valid
0.0ms1×body80invalid

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