Details

Time bar (total: 3.1s)

analyze12.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
50%50%0%3
75%25%0%4
87.5%12.5%0%5
93.7%6.2%0%6
96.8%3.1%0%7
98.4%1.6%0%8
99.2%0.8%0%9
99.6%0.4%0%10
99.8%0.2%0%11
99.9%0.1%0%12
99.9%0%0%13
99.9%0%0.1%14

sample18.0ms

Algorithm
intervals
Results
10.0ms256×body80valid

simplify714.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (63.0ms)

IterNodesCost
054966

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

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(* 2.0 (pow x 2.0))
30.3b
(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)))

series140.0ms

Counts
2 → 6
Calls
2 calls:
57.0ms
(* 2.0 (pow x 2.0))
83.0ms
(sqrt (* 2.0 (pow x 2.0)))

simplify68.0ms

Algorithm
egg-herbie
Counts
41 → 41
Iterations

Useful iterations: 0 (63.0ms)

IterNodesCost
04886308
14886308

prune101.0ms

Filtered
31 candidates to 41 candidates (-32.3%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New32941
Fresh000
Picked011
Done000
Total321042

Merged error: 14.5b

Counts
42 → 10

localize6.0ms

Local error

Found 1 expressions with local error:

0.5b
(* (sqrt 2.0) (* 1 (pow x 1.0)))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
16×add-exp-log
13×prod-exp
6×associate-*l* add-cbrt-cube
3×pow1 add-sqr-sqrt add-cube-cbrt *-un-lft-identity 1-exp sqrt-prod cbrt-unprod
2×pow-to-exp pow-exp
1×associate-*r* pow-prod-down *-commutative add-log-exp
Counts
1 → 25
Calls
1 calls:
6.0ms
(* (sqrt 2.0) (* 1 (pow x 1.0)))

series61.0ms

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

simplify51.0ms

Algorithm
egg-herbie
Counts
28 → 28
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
04880206
14880206

prune66.0ms

Filtered
16 candidates to 28 candidates (-75.0%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New24428
Fresh268
Picked011
Done101
Total271138

Merged error: 14.4b

Counts
38 → 11

localize8.0ms

Local error

Found 2 expressions with local error:

0.2b
(* (pow x 1.0) (cbrt (sqrt 2.0)))
0.3b
(* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (pow x 1.0) (cbrt (sqrt 2.0))))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
31×add-exp-log
22×add-sqr-sqrt
21×prod-exp
12×cbrt-prod
10×associate-*r*
9×add-cbrt-cube cbrt-unprod unswap-sqr
8×associate-*l*
7×pow1 add-cube-cbrt *-un-lft-identity
6×unpow-prod-down sqrt-prod
4×sqr-pow
3×pow-to-exp pow-prod-down pow-exp
2×*-commutative add-log-exp
Counts
2 → 61
Calls
2 calls:
7.0ms
(* (pow x 1.0) (cbrt (sqrt 2.0)))
11.0ms
(* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (pow x 1.0) (cbrt (sqrt 2.0))))

series140.0ms

Counts
2 → 6
Calls
2 calls:
78.0ms
(* (pow x 1.0) (cbrt (sqrt 2.0)))
62.0ms
(* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (pow x 1.0) (cbrt (sqrt 2.0))))

simplify60.0ms

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
04910623
14910623

prune156.0ms

Filtered
39 candidates to 67 candidates (-71.8%)
Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New64367
Fresh099
Picked101
Done011
Total651378

Merged error: 14.4b

Counts
78 → 13

localize11.0ms

Local error

Found 3 expressions with local error:

0.2b
(* (* (pow x 1.0) (* (cbrt (cbrt (sqrt 2.0))) (cbrt (cbrt (sqrt 2.0))))) (cbrt (cbrt (sqrt 2.0))))
0.3b
(* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (* (pow x 1.0) (* (cbrt (cbrt (sqrt 2.0))) (cbrt (cbrt (sqrt 2.0))))) (cbrt (cbrt (sqrt 2.0)))))
0.3b
(* (pow x 1.0) (* (cbrt (cbrt (sqrt 2.0))) (cbrt (cbrt (sqrt 2.0)))))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
105×add-exp-log
81×prod-exp
33×cbrt-unprod
24×add-cbrt-cube
17×pow1
15×cbrt-prod
14×associate-*r*
11×add-sqr-sqrt
9×add-cube-cbrt *-un-lft-identity associate-*l* pow-prod-down
8×pow-to-exp pow-exp
4×unpow-prod-down
3×sqrt-prod *-commutative add-log-exp unswap-sqr
2×sqr-pow
Counts
3 → 97
Calls
3 calls:
14.0ms
(* (* (pow x 1.0) (* (cbrt (cbrt (sqrt 2.0))) (cbrt (cbrt (sqrt 2.0))))) (cbrt (cbrt (sqrt 2.0))))
20.0ms
(* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (* (pow x 1.0) (* (cbrt (cbrt (sqrt 2.0))) (cbrt (cbrt (sqrt 2.0))))) (cbrt (cbrt (sqrt 2.0)))))
10.0ms
(* (pow x 1.0) (* (cbrt (cbrt (sqrt 2.0))) (cbrt (cbrt (sqrt 2.0)))))

series223.0ms

Counts
3 → 9
Calls
3 calls:
77.0ms
(* (* (pow x 1.0) (* (cbrt (cbrt (sqrt 2.0))) (cbrt (cbrt (sqrt 2.0))))) (cbrt (cbrt (sqrt 2.0))))
61.0ms
(* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (* (pow x 1.0) (* (cbrt (cbrt (sqrt 2.0))) (cbrt (cbrt (sqrt 2.0))))) (cbrt (cbrt (sqrt 2.0)))))
84.0ms
(* (pow x 1.0) (* (cbrt (cbrt (sqrt 2.0))) (cbrt (cbrt (sqrt 2.0)))))

simplify74.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 0 (65.0ms)

IterNodesCost
04925931
14925931

prune194.0ms

Filtered
55 candidates to 106 candidates (-92.7%)
Pruning

14 alts after pruning (12 fresh and 2 done)

PrunedKeptTotal
New1051106
Fresh01111
Picked011
Done011
Total10514119

Merged error: 14.4b

Counts
119 → 14

regimes442.0ms

Accuracy

98% (0.3b remaining)

Error of 15.6b against oracle of 15.3b and baseline of 31.5b

bsearch16.0ms

Steps
ItersRangePoint
9
-2.5030317015873653e-306
6.678033301088349e-305
8.3104626160278e-311

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02237
12237

end0.0ms

sample406.0ms

Algorithm
intervals
Results
309.0ms8000×body80valid

Profiling

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