Details

Time bar (total: 1.3s)

analyze5.0ms (0.4%)

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

sample13.0ms (1%)

Algorithm
1×intervals
Results
6.0ms256×body80valid

simplify3.0ms (0.2%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
095
195

prune3.0ms (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 (0.2%)

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 (0.2%)

Counts
1 → 3
Calls

1 calls:

3.0ms
(* (* x 3.0) x)

simplify40.0ms (3.1%)

Algorithm
1×egg-herbie
Counts
21 → 21
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
05188121

prune42.0ms (3.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New16521
Fresh000
Picked011
Done000
Total16622

Merged error: 0.1b

Counts
22 → 6

localize5.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.2b
(* x (* x 3.0))
0.3b
(* (sqrt (* x (* x 3.0))) (sqrt (* x (* x 3.0))))
20.6b
(sqrt (* x (* x 3.0)))
20.6b
(sqrt (* x (* x 3.0)))

rewrite27.0ms (2.1%)

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)))

series19.0ms (1.5%)

Counts
4 → 12
Calls

4 calls:

7.0ms
(* (sqrt (* x (* x 3.0))) (sqrt (* x (* x 3.0))))
6.0ms
(sqrt (* x (* x 3.0)))
3.0ms
(sqrt (* x (* x 3.0)))
3.0ms
(* x (* x 3.0))

simplify36.0ms (2.7%)

Algorithm
1×egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 0 (30.0ms)

IterNodesCost
05434524

prune192.0ms (14.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1164120
Fresh224
Picked101
Done011
Total1197126

Merged error: 0.0b

Counts
126 → 7

localize10.0ms (0.8%)

Local error

Found 4 expressions with local error:

0.2b
(* (* x x) 3.0)
0.3b
(* (sqrt (* x (* x 3.0))) (sqrt (* (* x x) 3.0)))
20.6b
(sqrt (* x (* x 3.0)))
20.6b
(sqrt (* (* x x) 3.0))

rewrite26.0ms (2%)

Algorithm
1×rewrite-expression-head
Rules
59×pow1
38×pow-prod-down
24×sqrt-pow1
11×add-exp-log add-cbrt-cube
10×add-sqr-sqrt
7×add-cube-cbrt *-un-lft-identity associate-*r*
5×associate-*l*
4×pow1/2 prod-exp sqrt-prod cbrt-unprod add-log-exp
2×*-commutative unswap-sqr
1×sqrt-unprod
Counts
4 → 74
Calls

4 calls:

11.0ms
(* (sqrt (* x (* x 3.0))) (sqrt (* (* x x) 3.0)))
5.0ms
(* (* x x) 3.0)
4.0ms
(sqrt (* (* x x) 3.0))
3.0ms
(sqrt (* x (* x 3.0)))

series17.0ms (1.3%)

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))
3.0ms
(sqrt (* x (* x 3.0)))
3.0ms
(* (* x x) 3.0)

simplify56.0ms (4.3%)

Algorithm
1×egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
04937508
14937508

prune150.0ms (11.4%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New84286
Fresh325
Picked011
Done011
Total87693

Merged error: 0.0b

Counts
93 → 6

localize11.0ms (0.8%)

Local error

Found 4 expressions with local error:

0.4b
(* x (sqrt 3.0))
0.4b
(* x (sqrt 3.0))
0.4b
(* (sqrt (fabs (* x (sqrt 3.0)))) (sqrt (fabs (* x (sqrt 3.0)))))
20.6b
(sqrt (* (* x x) 3.0))

rewrite22.0ms (1.7%)

Algorithm
1×rewrite-expression-head
Rules
38×add-sqr-sqrt
29×pow1
27×sqrt-prod
18×add-cube-cbrt *-un-lft-identity associate-*r*
12×associate-*l*
11×sqrt-pow1
10×add-exp-log add-cbrt-cube
9×pow1/2
8×swap-sqr pow-prod-down unswap-sqr
5×pow-prod-up
4×add-log-exp
3×prod-exp pow-sqr *-commutative cbrt-unprod
1×pow2 pow-plus sqrt-unprod rem-square-sqrt
Counts
4 → 105
Calls

4 calls:

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

series15.0ms (1.2%)

Counts
4 → 12
Calls

4 calls:

6.0ms
(* x (sqrt 3.0))
4.0ms
(* x (sqrt 3.0))
4.0ms
(sqrt (* (* x x) 3.0))
1.0ms
(* (sqrt (fabs (* x (sqrt 3.0)))) (sqrt (fabs (* x (sqrt 3.0)))))

simplify45.0ms (3.4%)

Algorithm
1×egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
05036677

prune291.0ms (22.1%)

Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New1170117
Fresh033
Picked011
Done022
Total1176123

Merged error: 0.0b

Counts
123 → 6

regimes69.0ms (5.3%)

Accuracy

Total 0.1b remaining (83.4%)

Threshold costs 0.1b (83.4%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
065
165

end0.0ms (0%)

sample204.0ms (15.5%)

Algorithm
1×intervals
Results
124.0ms8000×body80valid

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