Details

Time bar (total: 3.3s)

sample42.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0.024414%

Guaranteed chance to sample good point: 99.993895%

Results
10.0ms256×body80valid

simplify621.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0103
1193
2463
31313
44353
519243
650013

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 30.6b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* 2.0 (pow x 2.0))
29.8b
(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)))

series141.0ms

Counts
2 → 6
Calls
2 calls:
60.0ms
(* 2.0 (pow x 2.0))
81.0ms
(sqrt (* 2.0 (pow x 2.0)))

simplify83.0ms

Algorithm
egg-herbie
Counts
41 → 41
Iterations

Useful iterations: 2 (20.0ms)

IterNodesCost
0222193
1781182
23046174
35001174

prune100.0ms

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: 15.3b

Counts
42 → 8

localize5.0ms

Local error

Found 1 expressions with local error:

0.4b
(* (pow x 1.0) (sqrt 2.0))

rewrite10.0ms

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:
9.0ms
(* (pow x 1.0) (sqrt 2.0))

series61.0ms

Counts
1 → 3
Calls
1 calls:
61.0ms
(* (pow x 1.0) (sqrt 2.0))

simplify58.0ms

Algorithm
egg-herbie
Counts
34 → 34
Iterations

Useful iterations: 2 (14.0ms)

IterNodesCost
0167195
1501188
22010182
35002182

prune84.0ms

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

12 alts after pruning (10 fresh and 2 done)

PrunedKeptTotal
New29534
Fresh156
Picked011
Done011
Total301242

Merged error: 15.2b

Counts
42 → 12

localize8.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (pow x 1.0) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
0.3b
(* (* (pow x 1.0) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0)))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
36×add-exp-log
25×prod-exp
10×associate-*r*
9×add-sqr-sqrt add-cbrt-cube cbrt-unprod
8×associate-*l*
7×add-cube-cbrt *-un-lft-identity
6×cbrt-prod
4×pow1 pow-to-exp unpow-prod-down pow-exp
3×sqrt-prod unswap-sqr
2×*-commutative add-log-exp sqr-pow
1×pow-prod-down
Counts
2 → 56
Calls
2 calls:
9.0ms
(* (pow x 1.0) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
12.0ms
(* (* (pow x 1.0) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0)))

series150.0ms

Counts
2 → 6
Calls
2 calls:
87.0ms
(* (pow x 1.0) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
62.0ms
(* (* (pow x 1.0) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0)))

simplify39.0ms

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0295664
11126541
25001491

prune153.0ms

Filtered
38 candidates to 62 candidates (-63.2%)
Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New59362
Fresh369
Picked101
Done022
Total631174

Merged error: 15.2b

Counts
74 → 11

localize12.0ms

Local error

Found 3 expressions with local error:

0.1b
(* (pow x 1.0) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
0.2b
(* (* (* (pow x 1.0) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (* (cbrt (cbrt (sqrt 2.0))) (cbrt (cbrt (sqrt 2.0))))) (cbrt (cbrt (sqrt 2.0))))
0.4b
(* (* (pow x 1.0) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (* (cbrt (cbrt (sqrt 2.0))) (cbrt (cbrt (sqrt 2.0)))))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
130×add-exp-log
102×prod-exp
40×cbrt-unprod
29×add-cbrt-cube
17×pow1
15×cbrt-prod
14×associate-*r*
11×add-sqr-sqrt
10×pow-to-exp pow-exp
9×add-cube-cbrt *-un-lft-identity associate-*l* pow-prod-down
4×unpow-prod-down
3×sqrt-prod *-commutative add-log-exp unswap-sqr
2×sqr-pow
Counts
3 → 105
Calls
3 calls:
9.0ms
(* (pow x 1.0) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
22.0ms
(* (* (* (pow x 1.0) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (* (cbrt (cbrt (sqrt 2.0))) (cbrt (cbrt (sqrt 2.0))))) (cbrt (cbrt (sqrt 2.0))))
18.0ms
(* (* (pow x 1.0) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (* (cbrt (cbrt (sqrt 2.0))) (cbrt (cbrt (sqrt 2.0)))))

series241.0ms

Counts
3 → 9
Calls
3 calls:
85.0ms
(* (pow x 1.0) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
62.0ms
(* (* (* (pow x 1.0) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (* (cbrt (cbrt (sqrt 2.0))) (cbrt (cbrt (sqrt 2.0))))) (cbrt (cbrt (sqrt 2.0))))
94.0ms
(* (* (pow x 1.0) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (* (cbrt (cbrt (sqrt 2.0))) (cbrt (cbrt (sqrt 2.0)))))

simplify71.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
04851958
120451473
250021266

prune269.0ms

Filtered
56 candidates to 114 candidates (-103.6%)
Pruning

16 alts after pruning (13 fresh and 3 done)

PrunedKeptTotal
New1086114
Fresh178
Picked011
Done022
Total10916125

Merged error: 15.2b

Counts
125 → 16

regimes585.0ms

Accuracy

98.5% (0.2b remaining)

Error of 15.7b against oracle of 15.5b and baseline of 31.3b

bsearch26.0ms

Steps
ItersRangePoint
8
-7.405708554686243e-307
2.1096223585500456e-307
2.48517257146574e-310

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02222
12222

end0.0ms

sample474.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0.024414%

Guaranteed chance to sample good point: 99.993895%

Results
318.0ms8000×body80valid

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