Details

Time bar (total: 2.8s)

analyze12.0ms

Algorithm
search

sample19.0ms

Algorithm
intervals
Results
11.0ms256×body80valid

simplify616.0ms

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: 30.3b

Counts
2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(* 2.0 (pow x 2.0))
29.1b
(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)))

series152.0ms

Counts
2 → 6
Calls
2 calls:
61.0ms
(* 2.0 (pow x 2.0))
91.0ms
(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

prune101.0ms

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: 12.9b

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:
6.0ms
(* (pow x 1.0) (sqrt 2.0))

series62.0ms

Counts
1 → 3
Calls
1 calls:
62.0ms
(* (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

prune75.0ms

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

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New30434
Fresh246
Picked011
Done011
Total321042

Merged error: 12.8b

Counts
42 → 10

localize10.0ms

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)))

rewrite24.0ms

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:
10.0ms
(* (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)))

simplify38.0ms

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0295664
11126541
25001491

prune156.0ms

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

12 alts after pruning (9 fresh and 3 done)

PrunedKeptTotal
New60262
Fresh077
Picked011
Done022
Total601272

Merged error: 12.8b

Counts
72 → 12

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)))

rewrite19.0ms

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:
7.0ms
(* (pow x 1.0) (sqrt (sqrt 2.0)))
10.0ms
(* (* (pow x 1.0) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))

series127.0ms

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

simplify104.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 2 (26.0ms)

IterNodesCost
0253522
1993466
23875444
35001444

prune110.0ms

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

12 alts after pruning (9 fresh and 3 done)

PrunedKeptTotal
New63568
Fresh448
Picked011
Done123
Total681280

Merged error: 12.8b

Counts
80 → 12

regimes414.0ms

Accuracy

97.3% (0.4b remaining)

Error of 15.6b against oracle of 15.1b and baseline of 31.2b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02415
12415

end0.0ms

analyze5.0ms

Algorithm
search

sample404.0ms

Algorithm
intervals
Results
306.0ms8000×body80valid

Profiling

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