Details

Time bar (total: 1.3s)

analyze3.0ms (0.2%)

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
50%50%0%3
75%25%0%4
75%12.5%12.5%5
75%6.2%18.8%6
75%3.1%21.9%7
75%1.6%23.5%8
75%0.8%24.3%9
75%0.4%24.6%10
75%0.2%24.8%11
75%0.1%24.9%12
75%0%25%13
75%0%25%14

sample10.0ms (0.8%)

Algorithm
intervals
Results
5.0ms256×body80valid

simplify16.0ms (1.2%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (14.0ms)

IterNodesCost
03087
13087

prune4.0ms (0.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.3b

Counts
2 → 1

localize4.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b
(- (* x x) 3.0)
0.3b
(/ (- (* x x) 3.0) 6.0)

rewrite11.0ms (0.8%)

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
12×times-frac
11×add-cube-cbrt *-un-lft-identity
difference-of-squares
add-exp-log add-cbrt-cube associate-/l* add-log-exp
associate-/r*
pow1 flip3-- flip-- associate-/l/
cbrt-undiv sub-neg frac-2neg diff-log div-sub div-exp clear-num div-inv
Counts
2 → 46
Calls

2 calls:

6.0ms
(/ (- (* x x) 3.0) 6.0)
4.0ms
(- (* x x) 3.0)

series9.0ms (0.7%)

Counts
2 → 6
Calls

2 calls:

6.0ms
(/ (- (* x x) 3.0) 6.0)
4.0ms
(- (* x x) 3.0)

simplify45.0ms (3.4%)

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
05451516

prune87.0ms (6.7%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New49352
Fresh000
Picked101
Done000
Total50353

Merged error: 0b

Counts
53 → 3

localize6.0ms (0.5%)

Local error

Found 3 expressions with local error:

0.0b
(- (* x x) 3.0)
0.1b
(/ 1 (/ 6.0 (- (* x x) 3.0)))
0.3b
(/ 6.0 (- (* x x) 3.0))

rewrite25.0ms (1.9%)

Algorithm
rewrite-expression-head
Rules
114×times-frac
80×add-sqr-sqrt
63×add-cube-cbrt *-un-lft-identity
22×associate-/r*
17×difference-of-squares
16×add-exp-log
11×associate-/r/
10×add-cbrt-cube
div-exp
flip3-- flip-- div-inv associate-/l*
add-log-exp
pow1 cbrt-undiv
rec-exp frac-2neg 1-exp clear-num
sub-neg pow-flip diff-log inv-pow
Counts
3 → 141
Calls

3 calls:

9.0ms
(/ 1 (/ 6.0 (- (* x x) 3.0)))
6.0ms
(/ 6.0 (- (* x x) 3.0))
4.0ms
(- (* x x) 3.0)

series16.0ms (1.2%)

Counts
3 → 9
Calls

3 calls:

8.0ms
(/ 1 (/ 6.0 (- (* x x) 3.0)))
4.0ms
(- (* x x) 3.0)
4.0ms
(/ 6.0 (- (* x x) 3.0))

simplify60.0ms (4.6%)

Algorithm
egg-herbie
Counts
150 → 150
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
055451960

prune241.0ms (18.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1500150
Fresh022
Picked011
Done000
Total1503153

Merged error: 0b

Counts
153 → 3

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.4b
(* (* x x) 0.16666666666666666)

rewrite6.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-cbrt-cube
add-sqr-sqrt associate-*r* pow-prod-down prod-exp cbrt-unprod
add-cube-cbrt *-un-lft-identity
associate-*l* *-commutative add-log-exp unswap-sqr
Counts
1 → 19
Calls

1 calls:

5.0ms
(* (* x x) 0.16666666666666666)

series3.0ms (0.2%)

Counts
1 → 3
Calls

1 calls:

3.0ms
(* (* x x) 0.16666666666666666)

simplify47.0ms (3.6%)

Algorithm
egg-herbie
Counts
22 → 22
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
05269130

prune32.0ms (2.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New22022
Fresh011
Picked011
Done011
Total22325

Merged error: 0b

Counts
25 → 3

localize6.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b
(- x (sqrt 3.0))
0.0b
(+ x (sqrt 3.0))
0.0b
(/ (- x (sqrt 3.0)) 6.0)
0.7b
(* (+ x (sqrt 3.0)) (/ (- x (sqrt 3.0)) 6.0))

rewrite31.0ms (2.4%)

Algorithm
rewrite-expression-head
Rules
63×add-sqr-sqrt
46×*-un-lft-identity
37×times-frac
26×add-cube-cbrt
22×associate-*r*
16×difference-of-squares
11×add-exp-log add-cbrt-cube
sqrt-prod distribute-lft-out-- add-log-exp
pow1 associate-/l*
associate-*l*
flip3-+ associate-/r* flip-+
cbrt-undiv frac-times flip3-- div-exp associate-*l/ prod-exp flip-- cbrt-unprod div-inv associate-/l/ distribute-lft-out unswap-sqr
+-commutative sub-neg frac-2neg diff-log div-sub associate-*r/ pow-prod-down clear-num sum-log *-commutative
Counts
4 → 114
Calls

4 calls:

13.0ms
(* (+ x (sqrt 3.0)) (/ (- x (sqrt 3.0)) 6.0))
6.0ms
(/ (- x (sqrt 3.0)) 6.0)
4.0ms
(- x (sqrt 3.0))
3.0ms
(+ x (sqrt 3.0))

series27.0ms (2%)

Counts
4 → 12
Calls

4 calls:

12.0ms
(* (+ x (sqrt 3.0)) (/ (- x (sqrt 3.0)) 6.0))
7.0ms
(/ (- x (sqrt 3.0)) 6.0)
4.0ms
(- x (sqrt 3.0))
3.0ms
(+ x (sqrt 3.0))

simplify46.0ms (3.5%)

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
051331231

prune231.0ms (17.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1260126
Fresh000
Picked011
Done022
Total1263129

Merged error: 0b

Counts
129 → 3

regimes72.0ms (5.6%)

Accuracy

Total 0.2b remaining (92.2%)

Threshold costs 0.2b (92.2%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0189
1189

end0.0ms (0%)

sample259.0ms (19.9%)

Algorithm
intervals
Results
170.0ms8000×body80valid
0.0msbody80invalid

Profiling

Loading profile data...