Details

Time bar (total: 1.7s)

analyze61.0ms (3.6%)

Algorithm
1×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%74.9%25.1%4
18.7%56.2%25.1%5
28.1%34.3%37.6%6
34.3%28.1%37.6%7
39%17.2%43.8%8
41%13.7%45.4%9
43.1%8.4%48.5%10
44%6.7%49.3%11
45%4.1%50.8%12
45.4%3.3%51.2%13
45.9%2.1%52%14

sample24.0ms (1.4%)

Algorithm
1×intervals
Results
12.0ms256×body80valid
0.0ms3×body80nan
0.0ms2×body80invalid

simplify12.0ms (0.7%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (10.0ms)

IterNodesCost
02258
12258

prune9.0ms (0.5%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 1

localize9.0ms (0.6%)

Local error

Found 2 expressions with local error:

0.0b
(+ (- 1.0 x) (* y (sqrt x)))
0.2b
(* y (sqrt x))

rewrite12.0ms (0.7%)

Algorithm
1×rewrite-expression-head
Rules
9×add-sqr-sqrt
7×add-log-exp
6×associate-*r*
5×add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log sqrt-prod add-cbrt-cube
3×associate-*l*
2×sum-log unswap-sqr
1×+-commutative associate-+l- sub-neg associate-+l+ flip3-+ diff-log pow-prod-down prod-exp *-commutative cbrt-unprod flip-+
Counts
2 → 36
Calls

2 calls:

6.0ms
(+ (- 1.0 x) (* y (sqrt x)))
6.0ms
(* y (sqrt x))

series12.0ms (0.7%)

Counts
2 → 6
Calls

2 calls:

6.0ms
(* y (sqrt x))
6.0ms
(+ (- 1.0 x) (* y (sqrt x)))

simplify47.0ms (2.8%)

Algorithm
1×egg-herbie
Counts
42 → 42
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
04928360
14928360

prune89.0ms (5.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New36642
Fresh000
Picked011
Done000
Total36743

Merged error: 0.0b

Counts
43 → 7

localize14.0ms (0.8%)

Local error

Found 4 expressions with local error:

0.1b
(sqrt (sqrt x))
0.1b
(sqrt (sqrt x))
0.2b
(* y (sqrt (sqrt x)))
0.3b
(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

rewrite36.0ms (2.1%)

Algorithm
1×rewrite-expression-head
Rules
41×sqrt-prod
25×add-sqr-sqrt
18×associate-*r*
15×pow1 add-cube-cbrt *-un-lft-identity
11×add-exp-log add-cbrt-cube
8×sqrt-pow1
4×rem-sqrt-square pow1/2 associate-*l* pow-prod-down prod-exp cbrt-unprod add-log-exp
3×unswap-sqr
2×*-commutative
Counts
4 → 88
Calls

4 calls:

16.0ms
(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))
10.0ms
(* y (sqrt (sqrt x)))
3.0ms
(sqrt (sqrt x))
3.0ms
(sqrt (sqrt x))

series55.0ms (3.3%)

Counts
4 → 12
Calls

4 calls:

16.0ms
(sqrt (sqrt x))
14.0ms
(sqrt (sqrt x))
14.0ms
(* y (sqrt (sqrt x)))
11.0ms
(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

simplify55.0ms (3.3%)

Algorithm
1×egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
05020626

prune135.0ms (8%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New973100
Fresh145
Picked101
Done011
Total998107

Merged error: 0.0b

Counts
107 → 8

localize17.0ms (1%)

Local error

Found 4 expressions with local error:

0.3b
(* (* (* y (sqrt (fabs (cbrt x)))) (sqrt (sqrt (cbrt x)))) (sqrt (sqrt x)))
0.3b
(* (* y (sqrt (fabs (cbrt x)))) (sqrt (sqrt (cbrt x))))
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite26.0ms (1.6%)

Algorithm
1×rewrite-expression-head
Rules
24×sqrt-prod
21×associate-*r*
18×pow1 add-exp-log add-cbrt-cube
13×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×cbrt-prod pow-prod-down prod-exp cbrt-unprod
4×add-log-exp
2×pow1/3 associate-*l* *-commutative
Counts
4 → 76
Calls

4 calls:

12.0ms
(* (* (* y (sqrt (fabs (cbrt x)))) (sqrt (sqrt (cbrt x)))) (sqrt (sqrt x)))
9.0ms
(* (* y (sqrt (fabs (cbrt x)))) (sqrt (sqrt (cbrt x))))
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series105.0ms (6.3%)

Counts
4 → 12
Calls

4 calls:

34.0ms
(* (* (* y (sqrt (fabs (cbrt x)))) (sqrt (sqrt (cbrt x)))) (sqrt (sqrt x)))
30.0ms
(* (* y (sqrt (fabs (cbrt x)))) (sqrt (sqrt (cbrt x))))
21.0ms
(cbrt x)
21.0ms
(cbrt x)

simplify31.0ms (1.9%)

Algorithm
1×egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 0 (24.0ms)

IterNodesCost
05095962

prune132.0ms (7.9%)

Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New88088
Fresh066
Picked011
Done011
Total88896

Merged error: 0.0b

Counts
96 → 8

localize11.0ms (0.7%)

Local error

Found 4 expressions with local error:

0.1b
(sqrt (sqrt x))
0.2b
(* y (sqrt (sqrt x)))
0.3b
(* (* y (sqrt (sqrt x))) (sqrt (sqrt (sqrt x))))
0.4b
(* (* (* y (sqrt (sqrt x))) (sqrt (sqrt (sqrt x)))) (sqrt (sqrt (sqrt x))))

rewrite38.0ms (2.3%)

Algorithm
1×rewrite-expression-head
Rules
58×sqrt-prod
33×associate-*r*
26×add-sqr-sqrt
22×pow1
20×add-exp-log add-cbrt-cube
18×add-cube-cbrt *-un-lft-identity
10×pow-prod-down prod-exp cbrt-unprod
5×associate-*l*
4×sqrt-pow1 add-log-exp
3×*-commutative unswap-sqr
2×rem-sqrt-square pow1/2
Counts
4 → 102
Calls

4 calls:

15.0ms
(* (* (* y (sqrt (sqrt x))) (sqrt (sqrt (sqrt x)))) (sqrt (sqrt (sqrt x))))
11.0ms
(* (* y (sqrt (sqrt x))) (sqrt (sqrt (sqrt x))))
6.0ms
(* y (sqrt (sqrt x)))
2.0ms
(sqrt (sqrt x))

series52.0ms (3.1%)

Counts
4 → 12
Calls

4 calls:

20.0ms
(* (* y (sqrt (sqrt x))) (sqrt (sqrt (sqrt x))))
14.0ms
(sqrt (sqrt x))
10.0ms
(* y (sqrt (sqrt x)))
7.0ms
(* (* (* y (sqrt (sqrt x))) (sqrt (sqrt (sqrt x)))) (sqrt (sqrt (sqrt x))))

simplify34.0ms (2.1%)

Algorithm
1×egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 0 (26.0ms)

IterNodesCost
04901898
14901898

prune144.0ms (8.6%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1131114
Fresh145
Picked101
Done022
Total1157122

Merged error: 0.0b

Counts
122 → 7

regimes153.0ms (9.1%)

Accuracy

Total 0.1b remaining (84.7%)

Threshold costs 0.1b (84.7%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0198
1198

end0.0ms (0%)

sample361.0ms (21.5%)

Algorithm
1×intervals
Results
227.0ms8000×body80valid
3.0ms116×body80nan
2.0ms73×body80invalid

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