Details

Time bar (total: 2.8s)

analyze19.0ms

Algorithm
search

sample23.0ms

Algorithm
intervals
Results
14.0ms256×body80valid
0.0msbody80invalid

simplify629.0ms

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: 31.6b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* 2.0 (pow x 2.0))
30.2b
(sqrt (* 2.0 (pow x 2.0)))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
add-exp-log associate-*r*
add-cube-cbrt *-un-lft-identity
unpow-prod-down add-cbrt-cube
pow1 associate-*l* prod-exp unswap-sqr
add-log-exp sqr-pow
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))
90.0ms
(sqrt (* 2.0 (pow x 2.0)))

simplify83.0ms

Algorithm
egg-herbie
Counts
41 → 41
Iterations

Useful iterations: 2 (21.0ms)

IterNodesCost
0222193
1781182
23046174
35001174

prune95.0ms

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

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New34741
Fresh000
Picked101
Done000
Total35742

Merged error: 14.4b

Counts
42 → 7

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
associate-*l*
add-exp-log associate-*r* sqrt-prod unswap-sqr
add-cube-cbrt unpow-prod-down *-un-lft-identity
prod-exp add-cbrt-cube sqr-pow
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))

series63.0ms

Counts
1 → 3
Calls
1 calls:
63.0ms
(* (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

prune79.0ms

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

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New28634
Fresh156
Picked101
Done000
Total301141

Merged error: 14.3b

Counts
41 → 11

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)))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
36×add-exp-log
25×prod-exp
10×associate-*r*
add-sqr-sqrt add-cbrt-cube cbrt-unprod
associate-*l*
add-cube-cbrt *-un-lft-identity
cbrt-prod
pow1 pow-to-exp unpow-prod-down pow-exp
sqrt-prod unswap-sqr
*-commutative add-log-exp sqr-pow
pow-prod-down
Counts
2 → 56
Calls
2 calls:
10.0ms
(* (pow x 1.0) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
13.0ms
(* (* (pow x 1.0) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0)))

series147.0ms

Counts
2 → 6
Calls
2 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 (sqrt 2.0)))

simplify39.0ms

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0295664
11126541
25001491

prune159.0ms

Filtered
39 candidates to 62 candidates (-59.0%)
Pruning

14 alts after pruning (13 fresh and 1 done)

PrunedKeptTotal
New59362
Fresh01010
Picked011
Done000
Total591473

Merged error: 14.3b

Counts
73 → 14

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
add-cbrt-cube unswap-sqr
associate-*l*
unpow-prod-down
pow1 cbrt-unprod sqr-pow
pow-to-exp pow-exp *-commutative add-log-exp
pow-prod-down
Counts
2 → 62
Calls
2 calls:
9.0ms
(* (pow x 1.0) (sqrt (sqrt 2.0)))
10.0ms
(* (* (pow x 1.0) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))

series122.0ms

Counts
2 → 6
Calls
2 calls:
62.0ms
(* (pow x 1.0) (sqrt (sqrt 2.0)))
60.0ms
(* (* (pow x 1.0) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))

simplify105.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
0253522
1993466
23875444
35001444

prune104.0ms

Filtered
38 candidates to 68 candidates (-78.9%)
Pruning

12 alts after pruning (10 fresh and 2 done)

PrunedKeptTotal
New63568
Fresh7512
Picked011
Done011
Total701282

Merged error: 14.3b

Counts
82 → 12

regimes416.0ms

Accuracy

98.1% (0.3b remaining)

Error of 15.0b against oracle of 14.7b and baseline of 31.1b

bsearch24.0ms

Steps
ItersRangePoint
10
-1.1996080308848032e-299
3.8441121633182883e-305
-4.0482788121569e-310

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01814
11814

end0.0ms

analyze5.0ms

Algorithm
search

sample398.0ms

Algorithm
intervals
Results
302.0ms8000×body80valid
0.0msbody80invalid

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