Details

Time bar (total: 1.1s)

analyze8.0ms

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

sample11.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify2.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0106
1106

prune4.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 32.3b

Counts
2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

31.0b
(sqrt (* (* 2.0 x) x))

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1
3×sqrt-pow1 pow-prod-down
1×add-exp-log add-sqr-sqrt add-cube-cbrt *-un-lft-identity pow1/2 sqrt-prod add-cbrt-cube add-log-exp
Counts
1 → 12
Calls
1 calls:
3.0ms
(sqrt (* (* 2.0 x) x))

series4.0ms

Counts
1 → 3
Calls
1 calls:
4.0ms
(sqrt (* (* 2.0 x) x))

simplify106.0ms

Algorithm
egg-herbie
Counts
15 → 15
Iterations

Useful iterations: 0 (104.0ms)

IterNodesCost
0476380
1476380

prune29.0ms

Filtered
11 candidates to 15 candidates (-36.4%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New11415
Fresh000
Picked011
Done000
Total11516

Merged error: 0.2b

Counts
16 → 5

localize4.0ms

Local error

Found 1 expressions with local error:

0.4b
(* x (neg (sqrt 2.0)))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
16×associate-*r*
9×add-sqr-sqrt
7×add-cube-cbrt *-un-lft-identity
6×distribute-lft-neg-in distribute-rgt-neg-in sqrt-prod
3×pow1 add-exp-log associate-*l* add-cbrt-cube
1×neg-mul-1 pow-prod-down prod-exp *-commutative distribute-rgt-neg-out cbrt-unprod add-log-exp unswap-sqr
Counts
1 → 32
Calls
1 calls:
8.0ms
(* x (neg (sqrt 2.0)))

series5.0ms

Counts
1 → 3
Calls
1 calls:
5.0ms
(* x (neg (sqrt 2.0)))

simplify55.0ms

Algorithm
egg-herbie
Counts
35 → 35
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
04865196
14865196

prune50.0ms

Filtered
21 candidates to 35 candidates (-66.7%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New32335
Fresh123
Picked011
Done011
Total33740

Merged error: 0.1b

Counts
40 → 7

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b
(* x (* (cbrt (sqrt 2.0)) (neg (cbrt (sqrt 2.0)))))
0.2b
(* (* x (* (cbrt (sqrt 2.0)) (neg (cbrt (sqrt 2.0))))) (cbrt (sqrt 2.0)))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
16×pow1 add-exp-log
11×add-cbrt-cube
10×associate-*r*
9×pow-prod-down prod-exp cbrt-unprod
6×cbrt-prod add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×associate-*l* distribute-rgt-neg-out
3×sqrt-prod
2×*-commutative add-log-exp
1×distribute-lft-neg-out
Counts
2 → 47
Calls
2 calls:
8.0ms
(* x (* (cbrt (sqrt 2.0)) (neg (cbrt (sqrt 2.0)))))
11.0ms
(* (* x (* (cbrt (sqrt 2.0)) (neg (cbrt (sqrt 2.0))))) (cbrt (sqrt 2.0)))

series40.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(* x (* (cbrt (sqrt 2.0)) (neg (cbrt (sqrt 2.0)))))
5.0ms
(* (* x (* (cbrt (sqrt 2.0)) (neg (cbrt (sqrt 2.0))))) (cbrt (sqrt 2.0)))

simplify56.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
04945335
14945335

prune71.0ms

Filtered
30 candidates to 53 candidates (-76.7%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New53053
Fresh044
Picked011
Done022
Total53760

Merged error: 0.1b

Counts
60 → 7

localize6.0ms

Local error

Found 2 expressions with local error:

0.2b
(* x (neg (sqrt (sqrt 2.0))))
0.3b
(* (* x (neg (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0)))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
31×associate-*r*
27×sqrt-prod
15×add-sqr-sqrt
13×add-cube-cbrt *-un-lft-identity
9×pow1 add-exp-log distribute-lft-neg-in distribute-rgt-neg-in add-cbrt-cube
4×associate-*l* pow-prod-down prod-exp cbrt-unprod
2×*-commutative distribute-rgt-neg-out add-log-exp
1×distribute-lft-neg-out neg-mul-1 unswap-sqr
Counts
2 → 63
Calls
2 calls:
7.0ms
(* x (neg (sqrt (sqrt 2.0))))
9.0ms
(* (* x (neg (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0)))

series11.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(* x (neg (sqrt (sqrt 2.0))))
5.0ms
(* (* x (neg (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0)))

simplify38.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 0 (33.0ms)

IterNodesCost
05132455

prune83.0ms

Filtered
36 candidates to 69 candidates (-91.7%)
Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New68169
Fresh033
Picked011
Done033
Total68876

Merged error: 0.0b

Counts
76 → 8

regimes147.0ms

Accuracy

99.1% (0.3b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 31.8b

bsearch24.0ms

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

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04127
14127

end0.0ms

analyze3.0ms

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

sample265.0ms

Algorithm
intervals
Results
181.0ms8000×body80valid

Profiling

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