Details

Time bar (total: 2.8s)

analyze13.0ms

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

sample22.0ms

Algorithm
intervals
Results
14.0ms256×body80valid

simplify700.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (68.0ms)

IterNodesCost
048116
148116

prune9.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 32.3b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (pow x 2.0) 2)
31.0b
(sqrt (* (pow x 2.0) 2))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
7×add-exp-log associate-*l*
5×add-cube-cbrt *-un-lft-identity
4×unpow-prod-down add-cbrt-cube
3×pow1 associate-*r* 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
(* (pow x 2.0) 2)
5.0ms
(sqrt (* (pow x 2.0) 2))

series138.0ms

Counts
2 → 6
Calls
2 calls:
56.0ms
(* (pow x 2.0) 2)
82.0ms
(sqrt (* (pow x 2.0) 2))

simplify93.0ms

Algorithm
egg-herbie
Counts
41 → 41
Iterations

Useful iterations: 0 (86.0ms)

IterNodesCost
04895307
14895307

prune85.0ms

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

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New34741
Fresh000
Picked011
Done000
Total34842

Merged error: 15.0b

Counts
42 → 8

localize5.0ms

Local error

Found 1 expressions with local error:

0.4b
(* (sqrt 2) (pow x 1.0))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
7×associate-*r*
6×add-exp-log associate-*l* 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
(* (sqrt 2) (pow x 1.0))

series61.0ms

Counts
1 → 3
Calls
1 calls:
61.0ms
(* (sqrt 2) (pow x 1.0))

simplify38.0ms

Algorithm
egg-herbie
Counts
34 → 34
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
04938305
14938305

prune76.0ms

Filtered
20 candidates to 34 candidates (-70.0%)
Pruning

12 alts after pruning (10 fresh and 2 done)

PrunedKeptTotal
New28634
Fresh246
Picked011
Done011
Total301242

Merged error: 14.9b

Counts
42 → 12

localize8.0ms

Local error

Found 2 expressions with local error:

0.2b
(* (pow x 1.0) (cbrt (sqrt 2)))
0.3b
(* (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (* (pow x 1.0) (cbrt (sqrt 2))))

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:
6.0ms
(* (pow x 1.0) (cbrt (sqrt 2)))
10.0ms
(* (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (* (pow x 1.0) (cbrt (sqrt 2))))

series138.0ms

Counts
2 → 6
Calls
2 calls:
77.0ms
(* (pow x 1.0) (cbrt (sqrt 2)))
61.0ms
(* (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (* (pow x 1.0) (cbrt (sqrt 2))))

simplify59.0ms

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 0 (53.0ms)

IterNodesCost
05844629

prune163.0ms

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

14 alts after pruning (13 fresh and 1 done)

PrunedKeptTotal
New62567
Fresh189
Picked101
Done112
Total651479

Merged error: 14.9b

Counts
79 → 14

localize13.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (pow (sqrt 2) 2/3) (pow x 1.0))
0.2b
(* (* (pow (sqrt 2) 2/3) (pow x 1.0)) (cbrt (sqrt 2)))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
37×add-exp-log
28×prod-exp
27×add-sqr-sqrt
19×unpow-prod-down
16×associate-*r*
12×pow-to-exp pow-exp unswap-sqr
11×associate-*l*
10×add-cube-cbrt *-un-lft-identity
9×sqrt-prod sqr-pow
7×add-cbrt-cube
6×cbrt-prod
4×pow1 cbrt-unprod
2×*-commutative add-log-exp
1×pow-prod-down
Counts
2 → 78
Calls
2 calls:
7.0ms
(* (pow (sqrt 2) 2/3) (pow x 1.0))
9.0ms
(* (* (pow (sqrt 2) 2/3) (pow x 1.0)) (cbrt (sqrt 2)))

series143.0ms

Counts
2 → 6
Calls
2 calls:
82.0ms
(* (pow (sqrt 2) 2/3) (pow x 1.0))
60.0ms
(* (* (pow (sqrt 2) 2/3) (pow x 1.0)) (cbrt (sqrt 2)))

simplify63.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 0 (55.0ms)

IterNodesCost
04896858
14896858

prune126.0ms

Filtered
48 candidates to 84 candidates (-75.0%)
Pruning

16 alts after pruning (14 fresh and 2 done)

PrunedKeptTotal
New81384
Fresh11112
Picked011
Done011
Total821698

Merged error: 14.9b

Counts
98 → 16

regimes228.0ms

Accuracy

98.5% (0.2b remaining)

Error of 15.0b against oracle of 14.8b and baseline of 30.3b

bsearch29.0ms

Steps
ItersRangePoint
11
-2.887711932861174e-289
1.702355469569593e-305
3.59275856969827e-310

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02022
12022

end0.0ms

analyze6.0ms

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

sample518.0ms

Algorithm
intervals
Results
418.0ms8000×body80valid

Profiling

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