Details

Time bar (total: 1.9s)

analyze10.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%50%50%2
0%50%50%3
12.5%25%62.5%4
18.7%12.5%68.8%5
21.9%6.2%71.9%6
23.4%3.1%73.5%7
24.2%1.6%74.2%8
24.6%0.8%74.6%9
24.8%0.4%74.8%10
24.9%0.2%74.9%11
24.9%0.1%75%12
25%0%75%13
25%0%75%14

sample218.0ms

Algorithm
intervals
Results
197.0ms254×body80valid
0.0ms2×body160valid

simplify440.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
0717
1717

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.5b

Counts
2 → 1

localize7.0ms

Local error

Found 1 expressions with local error:

0.5b
(* (sqrt (- x 1.0)) (sqrt x))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
12×sqrt-prod
8×associate-*l*
7×*-un-lft-identity
6×associate-*r*
5×pow1 add-cube-cbrt
4×unswap-sqr
3×add-exp-log pow-prod-down add-cbrt-cube
2×sqrt-pow1 pow1/2 sqrt-div associate-*l/
1×flip3-- sqrt-unprod prod-exp *-commutative flip-- cbrt-unprod distribute-lft-out-- add-log-exp difference-of-squares
Counts
1 → 34
Calls
1 calls:
11.0ms
(* (sqrt (- x 1.0)) (sqrt x))

series15.0ms

Counts
1 → 3
Calls
1 calls:
15.0ms
(* (sqrt (- x 1.0)) (sqrt x))

simplify44.0ms

Algorithm
egg-herbie
Counts
37 → 37
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
05045370

prune66.0ms

Filtered
25 candidates to 37 candidates (-48.0%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New34337
Fresh000
Picked101
Done000
Total35338

Merged error: 0b

Counts
38 → 3

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b
(- x (+ 0.5 (/ 0.125 x)))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
6×*-un-lft-identity add-log-exp
3×add-sqr-sqrt
2×diff-log distribute-lft-out--
1×pow1 add-exp-log add-cube-cbrt sub-neg flip3-- sum-log add-cbrt-cube flip-- distribute-lft-out associate--r+ difference-of-squares
Counts
1 → 16
Calls
1 calls:
8.0ms
(- x (+ 0.5 (/ 0.125 x)))

series2.0ms

Counts
1 → 3
Calls
1 calls:
2.0ms
(- x (+ 0.5 (/ 0.125 x)))

simplify55.0ms

Algorithm
egg-herbie
Counts
19 → 19
Iterations

Useful iterations: 0 (52.0ms)

IterNodesCost
04847194
14847194

prune23.0ms

Filtered
12 candidates to 19 candidates (-58.3%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New19019
Fresh022
Picked011
Done000
Total19322

Merged error: 0b

Counts
22 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (sqrt (- x 1.0)))
0.5b
(cbrt (sqrt (- x 1.0)))
0.5b
(cbrt (sqrt (- x 1.0)))
0.5b
(* (cbrt (sqrt (- x 1.0))) (cbrt (sqrt (- x 1.0))))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
76×cbrt-prod
58×add-sqr-sqrt
47×sqrt-prod
42×*-un-lft-identity
22×add-cube-cbrt
18×cbrt-div sqrt-div
15×swap-sqr
11×pow1 associate-*r* associate-*l*
9×flip3-- pow1/3 flip-- distribute-lft-out-- unswap-sqr
7×difference-of-squares
6×add-exp-log
4×frac-times add-cbrt-cube add-log-exp
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 126
Calls
4 calls:
4.0ms
(cbrt (sqrt (- x 1.0)))
4.0ms
(cbrt (sqrt (- x 1.0)))
6.0ms
(cbrt (sqrt (- x 1.0)))
14.0ms
(* (cbrt (sqrt (- x 1.0))) (cbrt (sqrt (- x 1.0))))

series35.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(cbrt (sqrt (- x 1.0)))
8.0ms
(cbrt (sqrt (- x 1.0)))
8.0ms
(cbrt (sqrt (- x 1.0)))
11.0ms
(* (cbrt (sqrt (- x 1.0))) (cbrt (sqrt (- x 1.0))))

simplify49.0ms

Algorithm
egg-herbie
Counts
138 → 138
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
048971788
148971788

prune289.0ms

Filtered
93 candidates to 138 candidates (-48.4%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1380138
Fresh011
Picked011
Done011
Total1383141

Merged error: 0b

Counts
141 → 3

localize4.0ms

Local error

Found 1 expressions with local error:

30.7b
(sqrt (* x (- x 1.0)))

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
4×pow1
2×sqrt-pow1 sqrt-div associate-*r/
1×add-exp-log add-sqr-sqrt add-cube-cbrt flip3-- *-un-lft-identity pow1/2 pow-prod-down sqrt-prod add-cbrt-cube flip-- add-log-exp
Counts
1 → 13
Calls
1 calls:
4.0ms
(sqrt (* x (- x 1.0)))

series3.0ms

Counts
1 → 3
Calls
1 calls:
3.0ms
(sqrt (* x (- x 1.0)))

simplify47.0ms

Algorithm
egg-herbie
Counts
16 → 16
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
05536139

prune24.0ms

Filtered
13 candidates to 16 candidates (-23.1%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New16016
Fresh000
Picked011
Done022
Total16319

Merged error: 0b

Counts
19 → 3

regimes29.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0407
1407

end0.0ms

sample500.0ms

Algorithm
intervals
Results
192.0ms7994×body80valid
0.0ms6×body160valid

Profiling

Loading profile data...