Details

Time bar (total: 2.0s)

analyze122.0ms (6.2%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
25%74.9%0.1%5
25%62.4%12.6%6
31.2%50%18.8%7
40.6%37.5%22%8
45.3%26.5%28.2%9
46.8%19.5%33.7%10
48.8%14%37.2%11
51.7%10.1%38.1%12
52.8%7.1%40.1%13
53.3%5.1%41.6%14

sample19.0ms (1%)

Algorithm
intervals
Results
11.0ms256×body80valid
1.0ms16×body80invalid

simplify118.0ms (6%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (116.0ms)

IterNodesCost
0529111

prune12.0ms (0.6%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 7.3b

Counts
2 → 2

localize8.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.0b
(+ (pow x.re 3) (* x.re (* x.im (* x.im -3))))
0.2b
(* x.im (* x.im -3))
8.5b
(* x.re (* x.im (* x.im -3)))

rewrite22.0ms (1.1%)

Algorithm
rewrite-expression-head
Rules
17×pow1 add-exp-log add-cbrt-cube
pow-prod-down prod-exp cbrt-unprod
associate-*l*
add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-log-exp
associate-*r* *-commutative
+-commutative cube-mult flip3-+ sum-log flip-+ distribute-lft-out
Counts
3 → 51
Calls

3 calls:

9.0ms
(+ (pow x.re 3) (* x.re (* x.im (* x.im -3))))
7.0ms
(* x.re (* x.im (* x.im -3)))
5.0ms
(* x.im (* x.im -3))

series19.0ms (1%)

Counts
3 → 9
Calls

3 calls:

9.0ms
(+ (pow x.re 3) (* x.re (* x.im (* x.im -3))))
7.0ms
(* x.re (* x.im (* x.im -3)))
3.0ms
(* x.im (* x.im -3))

simplify28.0ms (1.4%)

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 0 (22.0ms)

IterNodesCost
04963511
14963511

prune115.0ms (5.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New55560
Fresh011
Picked011
Done000
Total55762

Merged error: 0.1b

Counts
62 → 7

localize8.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.0b
(+ (pow x.re 3) (* (* x.re x.im) (* x.im -3)))
0.3b
(* (* x.re x.im) (* x.im -3))

rewrite17.0ms (0.9%)

Algorithm
rewrite-expression-head
Rules
14×pow1 add-exp-log add-cbrt-cube
pow-prod-down prod-exp cbrt-unprod
add-log-exp
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
+-commutative flip3-+ associate-*r* associate-*l* sum-log *-commutative flip-+
Counts
2 → 33
Calls

2 calls:

8.0ms
(+ (pow x.re 3) (* (* x.re x.im) (* x.im -3)))
6.0ms
(* (* x.re x.im) (* x.im -3))

series17.0ms (0.8%)

Counts
2 → 6
Calls

2 calls:

9.0ms
(+ (pow x.re 3) (* (* x.re x.im) (* x.im -3)))
7.0ms
(* (* x.re x.im) (* x.im -3))

simplify47.0ms (2.4%)

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
04974396
14974396

prune80.0ms (4%)

Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New38139
Fresh055
Picked011
Done011
Total38846

Merged error: 0.1b

Counts
46 → 8

localize11.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.6b
(cbrt x.re)
0.6b
(cbrt x.re)
0.6b
(cbrt x.re)
5.5b
(* (* (cbrt x.re) (cbrt x.re)) (* x.im (* (* x.im -3) (cbrt x.re))))

rewrite20.0ms (1%)

Algorithm
rewrite-expression-head
Rules
36×pow1 add-exp-log
24×pow-prod-down prod-exp add-cbrt-cube cbrt-unprod
cbrt-prod
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
add-log-exp
pow1/3
associate-*r* associate-*l* *-commutative
Counts
4 → 67
Calls

4 calls:

14.0ms
(* (* (cbrt x.re) (cbrt x.re)) (* x.im (* (* x.im -3) (cbrt x.re))))
1.0ms
(cbrt x.re)
1.0ms
(cbrt x.re)
1.0ms
(cbrt x.re)

series77.0ms (3.9%)

Counts
4 → 12
Calls

4 calls:

21.0ms
(cbrt x.re)
21.0ms
(cbrt x.re)
21.0ms
(cbrt x.re)
13.0ms
(* (* (cbrt x.re) (cbrt x.re)) (* x.im (* (* x.im -3) (cbrt x.re))))

simplify49.0ms (2.5%)

Algorithm
egg-herbie
Counts
79 → 79
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
04973443
14973443

prune135.0ms (6.8%)

Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New78179
Fresh055
Picked011
Done022
Total78987

Merged error: 0.0b

Counts
87 → 9

localize16.0ms (0.8%)

Local error

Found 4 expressions with local error:

0.6b
(cbrt x.re)
0.6b
(cbrt x.re)
0.6b
(cbrt x.re)
5.5b
(* (* (cbrt x.re) (cbrt x.re)) (* x.im (* (* x.im -3) (* (* (cbrt (cbrt x.re)) (cbrt (cbrt x.re))) (cbrt (cbrt x.re))))))

rewrite38.0ms (1.9%)

Algorithm
rewrite-expression-head
Rules
88×pow1 add-exp-log
68×pow-prod-down prod-exp cbrt-unprod
56×add-cbrt-cube
cbrt-prod
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
add-log-exp
pow1/3
associate-*r* associate-*l* *-commutative
Counts
4 → 91
Calls

4 calls:

28.0ms
(* (* (cbrt x.re) (cbrt x.re)) (* x.im (* (* x.im -3) (* (* (cbrt (cbrt x.re)) (cbrt (cbrt x.re))) (cbrt (cbrt x.re))))))
1.0ms
(cbrt x.re)
1.0ms
(cbrt x.re)
1.0ms
(cbrt x.re)

series75.0ms (3.8%)

Counts
4 → 12
Calls

4 calls:

21.0ms
(cbrt x.re)
21.0ms
(cbrt x.re)
21.0ms
(cbrt x.re)
11.0ms
(* (* (cbrt x.re) (cbrt x.re)) (* x.im (* (* x.im -3) (* (* (cbrt (cbrt x.re)) (cbrt (cbrt x.re))) (cbrt (cbrt x.re))))))

simplify73.0ms (3.7%)

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 0 (63.0ms)

IterNodesCost
04900626
14900626

prune163.0ms (8.2%)

Pruning

9 alts after pruning (5 fresh and 4 done)

PrunedKeptTotal
New1030103
Fresh055
Picked011
Done033
Total1039112

Merged error: 0.0b

Counts
112 → 9

regimes173.0ms (8.7%)

Accuracy

Total 0.1b remaining (75%)

Threshold costs 0.1b (75%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01311
11311

end0.0ms (0%)

sample514.0ms (26%)

Algorithm
intervals
Results
359.0ms8000×body80valid
21.0ms446×body80invalid

Profiling

Loading profile data...