Details

Time bar (total: 3.5s)

analyze12.0ms

Algorithm
search

sample19.0ms

Algorithm
intervals
Results
10.0ms256×body80valid

simplify639.0ms

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: 29.9b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* 2.0 (pow x 2.0))
29.0b
(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)))

series149.0ms

Counts
2 → 6
Calls
2 calls:
60.0ms
(* 2.0 (pow x 2.0))
89.0ms
(sqrt (* 2.0 (pow x 2.0)))

simplify87.0ms

Algorithm
egg-herbie
Counts
41 → 41
Iterations

Useful iterations: 2 (21.0ms)

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: 16.1b

Counts
42 → 8

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (sqrt (* 2.0 (pow x 2.0))))
0.5b
(* (sqrt (sqrt (* 2.0 (pow x 2.0)))) (sqrt (sqrt (* 2.0 (pow x 2.0)))))
29.0b
(sqrt (* 2.0 (pow x 2.0)))
29.0b
(sqrt (* 2.0 (pow x 2.0)))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
38×sqrt-pow1
33×sqrt-prod
31×pow1
26×add-sqr-sqrt
20×pow1/2
13×add-cube-cbrt *-un-lft-identity
9×swap-sqr pow-prod-up
7×associate-*r* associate-*l*
6×add-exp-log add-cbrt-cube
5×pow-prod-down pow-sqr
4×add-log-exp unswap-sqr
1×pow2 rem-sqrt-square pow-plus sqrt-unprod prod-exp rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 96
Calls
4 calls:
4.0ms
(sqrt (sqrt (* 2.0 (pow x 2.0))))
12.0ms
(* (sqrt (sqrt (* 2.0 (pow x 2.0)))) (sqrt (sqrt (* 2.0 (pow x 2.0)))))
3.0ms
(sqrt (* 2.0 (pow x 2.0)))
3.0ms
(sqrt (* 2.0 (pow x 2.0)))

series248.0ms

Counts
4 → 12
Calls
4 calls:
62.0ms
(sqrt (sqrt (* 2.0 (pow x 2.0))))
62.0ms
(* (sqrt (sqrt (* 2.0 (pow x 2.0)))) (sqrt (sqrt (* 2.0 (pow x 2.0)))))
61.0ms
(sqrt (* 2.0 (pow x 2.0)))
62.0ms
(sqrt (* 2.0 (pow x 2.0)))

simplify218.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 3 (210.0ms)

IterNodesCost
0221574
1787531
24477501
35001483

prune193.0ms

Filtered
64 candidates to 108 candidates (-68.8%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New1062108
Fresh156
Picked011
Done011
Total1079116

Merged error: 16.0b

Counts
116 → 9

localize9.0ms

Local error

Found 4 expressions with local error:

29.0b
(sqrt (* (* 2.0 (* (cbrt (pow x 2.0)) (cbrt (pow x 2.0)))) (cbrt (pow x 2.0))))
29.8b
(cbrt (pow x 2.0))
29.8b
(cbrt (pow x 2.0))
29.8b
(cbrt (pow x 2.0))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
21×cbrt-prod
14×pow1
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×unpow-prod-down
6×pow-prod-down
4×add-exp-log sqrt-pow1 add-cbrt-cube add-log-exp
3×pow1/3 sqr-pow
1×pow1/2 sqrt-prod
Counts
4 → 58
Calls
4 calls:
11.0ms
(sqrt (* (* 2.0 (* (cbrt (pow x 2.0)) (cbrt (pow x 2.0)))) (cbrt (pow x 2.0))))
2.0ms
(cbrt (pow x 2.0))
2.0ms
(cbrt (pow x 2.0))
2.0ms
(cbrt (pow x 2.0))

series229.0ms

Counts
4 → 12
Calls
4 calls:
61.0ms
(sqrt (* (* 2.0 (* (cbrt (pow x 2.0)) (cbrt (pow x 2.0)))) (cbrt (pow x 2.0))))
56.0ms
(cbrt (pow x 2.0))
55.0ms
(cbrt (pow x 2.0))
57.0ms
(cbrt (pow x 2.0))

simplify41.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 3 (35.0ms)

IterNodesCost
0191423
1432399
21314371
35001362

prune189.0ms

Filtered
55 candidates to 70 candidates (-27.3%)
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New70070
Fresh066
Picked011
Done022
Total70979

Merged error: 16.0b

Counts
79 → 9

localize9.0ms

Local error

Found 4 expressions with local error:

29.0b
(sqrt (* (* (cbrt (* 2.0 (pow x 2.0))) (cbrt (* 2.0 (pow x 2.0)))) (cbrt (* 2.0 (pow x 2.0)))))
29.8b
(cbrt (* 2.0 (pow x 2.0)))
29.8b
(cbrt (* 2.0 (pow x 2.0)))
29.8b
(cbrt (* 2.0 (pow x 2.0)))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
24×pow1
15×sqrt-pow1
12×pow1/3
9×pow-prod-up
6×pow-plus
5×pow-prod-down
4×add-exp-log add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-cbrt-cube add-log-exp
3×cbrt-prod pow-sqr
2×pow2
1×pow1/2 pow3 sqrt-prod
Counts
4 → 51
Calls
4 calls:
8.0ms
(sqrt (* (* (cbrt (* 2.0 (pow x 2.0))) (cbrt (* 2.0 (pow x 2.0)))) (cbrt (* 2.0 (pow x 2.0)))))
3.0ms
(cbrt (* 2.0 (pow x 2.0)))
3.0ms
(cbrt (* 2.0 (pow x 2.0)))
3.0ms
(cbrt (* 2.0 (pow x 2.0)))

series256.0ms

Counts
4 → 12
Calls
4 calls:
68.0ms
(sqrt (* (* (cbrt (* 2.0 (pow x 2.0))) (cbrt (* 2.0 (pow x 2.0)))) (cbrt (* 2.0 (pow x 2.0)))))
60.0ms
(cbrt (* 2.0 (pow x 2.0)))
62.0ms
(cbrt (* 2.0 (pow x 2.0)))
65.0ms
(cbrt (* 2.0 (pow x 2.0)))

simplify76.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 2 (16.0ms)

IterNodesCost
0193373
1473341
21901319
35001319

prune144.0ms

Filtered
46 candidates to 63 candidates (-37.0%)
Pruning

9 alts after pruning (5 fresh and 4 done)

PrunedKeptTotal
New63063
Fresh055
Picked011
Done033
Total63972

Merged error: 16.0b

Counts
72 → 9

regimes376.0ms

Accuracy

99% (0.2b remaining)

Error of 15.7b against oracle of 15.5b and baseline of 31.1b

bsearch24.0ms

Steps
ItersRangePoint
10
-2.172408106988292e-308
5.311962203992565e-298
6.5285658990945e-312

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0146
1146

end0.0ms

analyze5.0ms

Algorithm
search

sample402.0ms

Algorithm
intervals
Results
306.0ms8000×body80valid

Profiling

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