Details

Time bar (total: 1.1s)

sample13.0ms

Algorithm
intervals
Results
7.0ms256×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: 31.4b

Counts
2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

30.4b
(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:
4.0ms
(sqrt (* (* 2.0 x) x))

series4.0ms

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

simplify107.0ms

Algorithm
egg-herbie
Counts
15 → 15
Iterations

Useful iterations: 0 (104.0ms)

IterNodesCost
0476380
1476380

prune36.0ms

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

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New10515
Fresh000
Picked011
Done000
Total10616

Merged error: 0.1b

Counts
16 → 6

localize3.0ms

Local error

Found 1 expressions with local error:

0.4b
(* x (sqrt 2.0))

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt
6×associate-*r*
4×add-cube-cbrt *-un-lft-identity sqrt-prod
3×pow1 add-exp-log associate-*l* add-cbrt-cube
2×unswap-sqr
1×pow-prod-down prod-exp *-commutative cbrt-unprod add-log-exp
Counts
1 → 22
Calls
1 calls:
5.0ms
(* x (sqrt 2.0))

series4.0ms

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

simplify42.0ms

Algorithm
egg-herbie
Counts
25 → 25
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
04990133
14990133

prune40.0ms

Filtered
14 candidates to 25 candidates (-78.6%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New22325
Fresh134
Picked011
Done011
Total23831

Merged error: 0.1b

Counts
31 → 8

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
21×sqrt-prod
18×associate-*r*
15×add-sqr-sqrt
9×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
4×associate-*l* pow-prod-down prod-exp cbrt-unprod
3×unswap-sqr
2×*-commutative add-log-exp
Counts
2 → 50
Calls
2 calls:
6.0ms
(* x (sqrt (sqrt 2.0)))
9.0ms
(* (* x (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))

series10.0ms

Counts
2 → 6
Calls
2 calls:
6.0ms
(* x (sqrt (sqrt 2.0)))
4.0ms
(* (* x (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))

simplify51.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
05011343

prune69.0ms

Filtered
27 candidates to 56 candidates (-107.4%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New55156
Fresh235
Picked011
Done022
Total57764

Merged error: 0.1b

Counts
64 → 7

localize14.0ms

Local error

Found 2 expressions with local error:

0.1b
(* x (pow (sqrt (sqrt 2.0)) 3/2))
0.3b
(* (* x (pow (sqrt (sqrt 2.0)) 3/2)) (sqrt (sqrt (sqrt 2.0))))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
30×sqrt-prod
25×associate-*r*
20×add-sqr-sqrt
17×add-exp-log
12×unpow-prod-down
11×add-cube-cbrt *-un-lft-identity
10×prod-exp
9×add-cbrt-cube
5×unswap-sqr
4×pow1 associate-*l* cbrt-unprod
2×pow-to-exp pow-exp *-commutative add-log-exp sqr-pow
1×pow-prod-down
Counts
2 → 61
Calls
2 calls:
7.0ms
(* x (pow (sqrt (sqrt 2.0)) 3/2))
11.0ms
(* (* x (pow (sqrt (sqrt 2.0)) 3/2)) (sqrt (sqrt (sqrt 2.0))))

series39.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(* x (pow (sqrt (sqrt 2.0)) 3/2))
4.0ms
(* (* x (pow (sqrt (sqrt 2.0)) 3/2)) (sqrt (sqrt (sqrt 2.0))))

simplify36.0ms

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 0 (30.0ms)

IterNodesCost
04901659
14901659

prune110.0ms

Filtered
36 candidates to 67 candidates (-86.1%)
Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New67067
Fresh033
Picked011
Done033
Total67774

Merged error: 0.1b

Counts
74 → 7

regimes132.0ms

Accuracy

99.3% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 31.5b

bsearch13.0ms

Steps
ItersRangePoint
9
-7.676761036242019e-305
3.3654627424431923e-307
-2.022323315492e-311

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02321
12321

end0.0ms

sample318.0ms

Algorithm
intervals
Results
192.0ms8006×body80valid

Profiling

Loading profile data...