Details

Time bar (total: 2.5s)

sample23.0ms

Algorithm
intervals
Results
11.0ms256×body80valid

simplify71.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0103
1193
2463
31313
44353
519243
650013

prune4.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 30.5b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite193.0ms

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:
185.0ms
(* 2.0 (pow x 2.0))
6.0ms
(sqrt (* 2.0 (pow x 2.0)))

series130.0ms

Counts
2 → 6
Calls
2 calls:
61.0ms
(* 2.0 (pow x 2.0))
69.0ms
(sqrt (* 2.0 (pow x 2.0)))

simplify82.0ms

Algorithm
egg-herbie
Counts
41 → 41
Iterations

Useful iterations: 2 (20.0ms)

IterNodesCost
0222193
1781182
23046174
35001174

prune101.0ms

Filtered
41 candidates to 32 candidates (22.0%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New35641
Fresh000
Picked011
Done000
Total35742

Merged error: 14.0b

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
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))

series60.0ms

Counts
1 → 3
Calls
1 calls:
60.0ms
(* (pow x 1.0) (sqrt 2.0))

simplify55.0ms

Algorithm
egg-herbie
Counts
34 → 34
Iterations

Useful iterations: 2 (14.0ms)

IterNodesCost
0167195
1501188
22010182
35002182

prune80.0ms

Filtered
34 candidates to 21 candidates (38.2%)
Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New29534
Fresh145
Picked011
Done011
Total301141

Merged error: 13.9b

Counts
41 → 11

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)))

rewrite20.0ms

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

series122.0ms

Counts
2 → 6
Calls
2 calls:
60.0ms
(* (pow x 1.0) (sqrt (sqrt 2.0)))
61.0ms
(* (* (pow x 1.0) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))

simplify109.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
0253522
1993466
23875444
35001444

prune147.0ms

Filtered
68 candidates to 37 candidates (45.6%)
Pruning

13 alts after pruning (10 fresh and 3 done)

PrunedKeptTotal
New63568
Fresh358
Picked011
Done022
Total661379

Merged error: 13.9b

Counts
79 → 13

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (pow x 1.0) (* (sqrt (sqrt 2.0)) (fabs (cbrt (sqrt 2.0)))))
0.4b
(* (* (pow x 1.0) (* (sqrt (sqrt 2.0)) (fabs (cbrt (sqrt 2.0))))) (sqrt (cbrt (sqrt 2.0))))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
36×add-exp-log
25×prod-exp
16×add-cbrt-cube
13×associate-*r*
12×sqrt-prod
9×cbrt-unprod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*l*
6×cbrt-prod
4×pow1 pow-to-exp pow-exp
3×unpow-prod-down
2×*-commutative add-log-exp
1×pow-prod-down sqr-pow
Counts
2 → 56
Calls
2 calls:
7.0ms
(* (pow x 1.0) (* (sqrt (sqrt 2.0)) (fabs (cbrt (sqrt 2.0)))))
12.0ms
(* (* (pow x 1.0) (* (sqrt (sqrt 2.0)) (fabs (cbrt (sqrt 2.0))))) (sqrt (cbrt (sqrt 2.0))))

series160.0ms

Counts
2 → 6
Calls
2 calls:
67.0ms
(* (pow x 1.0) (* (sqrt (sqrt 2.0)) (fabs (cbrt (sqrt 2.0)))))
93.0ms
(* (* (pow x 1.0) (* (sqrt (sqrt 2.0)) (fabs (cbrt (sqrt 2.0))))) (sqrt (cbrt (sqrt 2.0))))

simplify48.0ms

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0361814
11597709
25001702

prune140.0ms

Filtered
62 candidates to 36 candidates (41.9%)
Pruning

13 alts after pruning (9 fresh and 4 done)

PrunedKeptTotal
New62062
Fresh099
Picked011
Done033
Total621375

Merged error: 13.9b

Counts
75 → 13

regimes431.0ms

Accuracy

98.6% (0.2b remaining)

Error of 15.3b against oracle of 15.1b and baseline of 31.5b

bsearch16.0ms

Steps
ItersRangePoint
9
-4.668859499534314e-305
1.1707446602637905e-305
3.0508750457605e-310

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02215
12215

end0.0ms

sample431.0ms

Algorithm
intervals
Results
296.0ms8001×body80valid

Profiling

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