Details

Time bar (total: 2.9s)

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

sample19.0ms

Algorithm
intervals
Results
10.0ms256×body80valid

simplify689.0ms

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: 32.1b

Counts
2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(* 2.0 (pow x 2.0))
30.7b
(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)))

series146.0ms

Counts
2 → 6
Calls
2 calls:
60.0ms
(* 2.0 (pow x 2.0))
85.0ms
(sqrt (* 2.0 (pow x 2.0)))

simplify67.0ms

Algorithm
egg-herbie
Counts
41 → 41
Iterations

Useful iterations: 0 (63.0ms)

IterNodesCost
04886308
14886308

prune104.0ms

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

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New33841
Fresh000
Picked011
Done000
Total33942

Merged error: 15.7b

Counts
42 → 9

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)))

series66.0ms

Counts
1 → 3
Calls
1 calls:
66.0ms
(* (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

prune68.0ms

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

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New24428
Fresh257
Picked101
Done101
Total28937

Merged error: 15.6b

Counts
37 → 9

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
27×sqrt-prod
25×add-sqr-sqrt
17×add-exp-log
16×associate-*l*
10×add-cube-cbrt *-un-lft-identity associate-*r* prod-exp
9×add-cbrt-cube unswap-sqr
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)))
9.0ms
(* (sqrt (sqrt 2.0)) (* (pow x 1.0) (sqrt (sqrt 2.0))))

series130.0ms

Counts
2 → 6
Calls
2 calls:
66.0ms
(* (pow x 1.0) (sqrt (sqrt 2.0)))
65.0ms
(* (sqrt (sqrt 2.0)) (* (pow x 1.0) (sqrt (sqrt 2.0))))

simplify68.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 0 (62.0ms)

IterNodesCost
04863655
14863655

prune154.0ms

Filtered
41 candidates to 68 candidates (-65.9%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New64468
Fresh268
Picked011
Done000
Total661177

Merged error: 15.5b

Counts
77 → 11

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
20×add-exp-log
13×add-cbrt-cube
12×prod-exp
9×pow1 cbrt-prod add-sqr-sqrt add-cube-cbrt *-un-lft-identity
7×associate-*l*
6×cbrt-unprod
5×sqrt-prod
4×add-log-exp
3×pow1/3 pow-prod-down
1×pow-to-exp associate-*r* pow-exp *-commutative
Counts
4 → 59
Calls
4 calls:
21.0ms
(* (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0)))) (* (sqrt (sqrt 2.0)) (* (pow x 1.0) (sqrt (sqrt (cbrt 2.0))))))
1.0ms
(cbrt 2.0)
1.0ms
(cbrt 2.0)
1.0ms
(cbrt 2.0)

series101.0ms

Counts
4 → 6
Calls
4 calls:
101.0ms
(* (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0)))) (* (sqrt (sqrt 2.0)) (* (pow x 1.0) (sqrt (sqrt (cbrt 2.0))))))
0.0ms
(cbrt 2.0)
0.0ms
(cbrt 2.0)
0.0ms
(cbrt 2.0)

simplify53.0ms

Algorithm
egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
04999679
14999679

prune206.0ms

Filtered
50 candidates to 65 candidates (-30.0%)
Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New64165
Fresh189
Picked011
Done011
Total651176

Merged error: 15.5b

Counts
76 → 11

regimes377.0ms

Accuracy

97.6% (0.4b remaining)

Error of 15.5b against oracle of 15.1b and baseline of 31.3b

bsearch18.0ms

Steps
ItersRangePoint
10
-8.711722846480093e-295
1.1188281915123586e-307
6.0263395317301e-311

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01930
11930

end0.0ms

sample416.0ms

Algorithm
intervals
Results
309.0ms8000×body80valid

Profiling

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