Details

Time bar (total: 1.2s)

analyze3.0ms (0.3%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
50%50%0%3
50%25%25%4
62.5%12.5%25%5
68.7%6.2%25%6
71.8%3.1%25%7
73.4%1.6%25%8
74.2%0.8%25%9
74.6%0.4%25%10
74.8%0.2%25%11
74.9%0.1%25%12
74.9%0%25.1%13
74.9%0%25.1%14

sample9.0ms (0.8%)

Algorithm
1×intervals
Results
4.0ms256×body80valid

simplify3.0ms (0.2%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
095
195

prune4.0ms (0.3%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 0.2b

Counts
2 → 1

localize3.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.2b
(* (* x 3.0) x)

rewrite5.0ms (0.4%)

Algorithm
1×rewrite-expression-head
Rules
6×pow1 add-exp-log add-cbrt-cube
3×associate-*r* pow-prod-down prod-exp cbrt-unprod
2×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
1×associate-*l* *-commutative add-log-exp
Counts
1 → 18
Calls

1 calls:

4.0ms
(* (* x 3.0) x)

series3.0ms (0.3%)

Counts
1 → 3
Calls

1 calls:

3.0ms
(* (* x 3.0) x)

simplify49.0ms (4.1%)

Algorithm
1×egg-herbie
Counts
21 → 21
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
05188121

prune40.0ms (3.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New17421
Fresh000
Picked011
Done000
Total17522

Merged error: 0.1b

Counts
22 → 5

localize5.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.2b
(* x (* x 3.0))
0.4b
(* (sqrt (* x (* x 3.0))) (sqrt (* x (* x 3.0))))
18.8b
(sqrt (* x (* x 3.0)))
18.8b
(sqrt (* x (* x 3.0)))

rewrite30.0ms (2.5%)

Algorithm
1×rewrite-expression-head
Rules
148×pow1
80×pow-prod-down
66×sqrt-pow1
17×pow-prod-up
14×pow1/2
11×add-exp-log add-sqr-sqrt pow-sqr add-cbrt-cube
9×add-cube-cbrt *-un-lft-identity
7×associate-*l*
6×sqrt-prod
5×associate-*r*
4×swap-sqr prod-exp cbrt-unprod add-log-exp
2×*-commutative
1×pow2 pow-plus sqrt-unprod rem-square-sqrt unswap-sqr
Counts
4 → 108
Calls

4 calls:

11.0ms
(* (sqrt (* x (* x 3.0))) (sqrt (* x (* x 3.0))))
4.0ms
(* x (* x 3.0))
4.0ms
(sqrt (* x (* x 3.0)))
3.0ms
(sqrt (* x (* x 3.0)))

series17.0ms (1.4%)

Counts
4 → 12
Calls

4 calls:

7.0ms
(* (sqrt (* x (* x 3.0))) (sqrt (* x (* x 3.0))))
4.0ms
(sqrt (* x (* x 3.0)))
4.0ms
(sqrt (* x (* x 3.0)))
3.0ms
(* x (* x 3.0))

simplify39.0ms (3.3%)

Algorithm
1×egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 0 (32.0ms)

IterNodesCost
05434524

prune199.0ms (16.9%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1155120
Fresh123
Picked101
Done011
Total1178125

Merged error: 0.0b

Counts
125 → 8

localize8.0ms (0.7%)

Local error

Found 4 expressions with local error:

0.2b
(* x (* x 3.0))
0.4b
(* (fabs (* x (sqrt 3.0))) (sqrt (* x (* x 3.0))))
0.4b
(* x (sqrt 3.0))
18.8b
(sqrt (* x (* x 3.0)))

rewrite21.0ms (1.8%)

Algorithm
1×rewrite-expression-head
Rules
19×pow1
16×add-sqr-sqrt
13×add-exp-log add-cbrt-cube
11×associate-*r*
10×add-cube-cbrt *-un-lft-identity
9×associate-*l*
8×pow-prod-down
6×sqrt-prod
5×prod-exp cbrt-unprod
4×add-log-exp
3×sqrt-pow1 *-commutative unswap-sqr
1×pow1/2
Counts
4 → 71
Calls

4 calls:

7.0ms
(* (fabs (* x (sqrt 3.0))) (sqrt (* x (* x 3.0))))
5.0ms
(* x (sqrt 3.0))
4.0ms
(* x (* x 3.0))
3.0ms
(sqrt (* x (* x 3.0)))

series17.0ms (1.4%)

Counts
4 → 12
Calls

4 calls:

7.0ms
(* (fabs (* x (sqrt 3.0))) (sqrt (* x (* x 3.0))))
4.0ms
(* x (sqrt 3.0))
4.0ms
(sqrt (* x (* x 3.0)))
3.0ms
(* x (* x 3.0))

simplify37.0ms (3.1%)

Algorithm
1×egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 0 (31.0ms)

IterNodesCost
05008490

prune164.0ms (13.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New82183
Fresh156
Picked101
Done011
Total84791

Merged error: 0.0b

Counts
91 → 7

localize8.0ms (0.7%)

Local error

Found 4 expressions with local error:

0.2b
(* (* x x) 3.0)
0.4b
(* (fabs (* x (sqrt 3.0))) (sqrt (* (* x x) 3.0)))
0.4b
(* x (sqrt 3.0))
18.8b
(sqrt (* (* x x) 3.0))

rewrite24.0ms (2%)

Algorithm
1×rewrite-expression-head
Rules
19×pow1
17×add-sqr-sqrt
13×add-exp-log associate-*r* add-cbrt-cube
10×add-cube-cbrt *-un-lft-identity
8×pow-prod-down
7×associate-*l*
6×sqrt-prod
5×prod-exp cbrt-unprod
4×add-log-exp unswap-sqr
3×sqrt-pow1 *-commutative
1×pow1/2
Counts
4 → 72
Calls

4 calls:

7.0ms
(* (fabs (* x (sqrt 3.0))) (sqrt (* (* x x) 3.0)))
6.0ms
(* x (sqrt 3.0))
5.0ms
(* (* x x) 3.0)
4.0ms
(sqrt (* (* x x) 3.0))

series17.0ms (1.4%)

Counts
4 → 12
Calls

4 calls:

7.0ms
(* (fabs (* x (sqrt 3.0))) (sqrt (* (* x x) 3.0)))
4.0ms
(sqrt (* (* x x) 3.0))
4.0ms
(* x (sqrt 3.0))
3.0ms
(* (* x x) 3.0)

simplify46.0ms (3.9%)

Algorithm
1×egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
05522498

prune151.0ms (12.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New82284
Fresh415
Picked011
Done011
Total86591

Merged error: 0b

Counts
91 → 5

regimes74.0ms (6.2%)

Accuracy

Total 0.2b remaining (89.3%)

Threshold costs 0.2b (89.3%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
085
185

end0.0ms (0%)

sample207.0ms (17.5%)

Algorithm
1×intervals
Results
123.0ms8000×body80valid
0.0ms1×body80invalid

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