Details

Time bar (total: 1.5s)

analyze42.0ms

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%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

sample19.0ms

Algorithm
intervals
Results
11.0ms256×body80valid
0.0ms1×body80invalid

simplify8.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (7.0ms)

IterNodesCost
02258
12258

prune6.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 0.1b

Counts
2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite11.0ms

Algorithm
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)))
5.0ms
(* y (sqrt x))

series12.0ms

Counts
2 → 6
Calls
2 calls:
6.0ms
(+ (- 1.0 x) (* y (sqrt x)))
6.0ms
(* y (sqrt x))

simplify28.0ms

Algorithm
egg-herbie
Counts
42 → 42
Iterations

Useful iterations: 0 (24.0ms)

IterNodesCost
05003360

prune71.0ms

Filtered
32 candidates to 42 candidates (-31.3%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New37542
Fresh000
Picked011
Done000
Total37643

Merged error: 0.0b

Counts
43 → 6

localize9.0ms

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)))

rewrite34.0ms

Algorithm
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:
3.0ms
(sqrt (sqrt x))
3.0ms
(sqrt (sqrt x))
10.0ms
(* y (sqrt (sqrt x)))
13.0ms
(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

series51.0ms

Counts
4 → 12
Calls
4 calls:
14.0ms
(sqrt (sqrt x))
14.0ms
(sqrt (sqrt x))
12.0ms
(* y (sqrt (sqrt x)))
11.0ms
(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

simplify43.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
05036626

prune104.0ms

Filtered
57 candidates to 100 candidates (-75.4%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New991100
Fresh044
Picked011
Done011
Total997106

Merged error: 0b

Counts
106 → 7

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
72×sqrt-prod
33×associate-*r*
30×add-sqr-sqrt
23×pow1
20×add-exp-log add-cbrt-cube
19×add-cube-cbrt *-un-lft-identity
10×pow-prod-down prod-exp cbrt-unprod
9×sqrt-pow1
5×associate-*l*
4×add-log-exp unswap-sqr
3×rem-sqrt-square pow1/2 *-commutative
Counts
4 → 109
Calls
4 calls:
3.0ms
(sqrt (sqrt (sqrt x)))
7.0ms
(* y (sqrt (sqrt (sqrt x))))
14.0ms
(* (* (* y (sqrt (sqrt (sqrt x)))) (sqrt (sqrt (sqrt x)))) (sqrt (sqrt x)))
11.0ms
(* (* y (sqrt (sqrt (sqrt x)))) (sqrt (sqrt (sqrt x))))

series58.0ms

Counts
4 → 12
Calls
4 calls:
17.0ms
(sqrt (sqrt (sqrt x)))
17.0ms
(* y (sqrt (sqrt (sqrt x))))
11.0ms
(* (* (* y (sqrt (sqrt (sqrt x)))) (sqrt (sqrt (sqrt x)))) (sqrt (sqrt x)))
13.0ms
(* (* y (sqrt (sqrt (sqrt x)))) (sqrt (sqrt (sqrt x))))

simplify62.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 0 (55.0ms)

IterNodesCost
04864896
14864896

prune115.0ms

Filtered
65 candidates to 121 candidates (-86.2%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New1210121
Fresh044
Picked011
Done022
Total1217128

Merged error: 0b

Counts
128 → 7

localize9.0ms

Local error

Found 4 expressions with local error:

0.2b
(* y (fabs (cbrt x)))
0.4b
(* (* y (fabs (cbrt x))) (sqrt (cbrt x)))
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt
12×associate-*r*
11×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
9×cbrt-prod
6×sqrt-prod
4×associate-*l* pow-prod-down prod-exp cbrt-unprod add-log-exp
2×pow1/3 *-commutative
1×unswap-sqr
Counts
4 → 64
Calls
4 calls:
3.0ms
(* y (fabs (cbrt x)))
6.0ms
(* (* y (fabs (cbrt x))) (sqrt (cbrt x)))
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series71.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(* y (fabs (cbrt x)))
22.0ms
(* (* y (fabs (cbrt x))) (sqrt (cbrt x)))
22.0ms
(cbrt x)
21.0ms
(cbrt x)

simplify38.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 0 (33.0ms)

IterNodesCost
04965500
14965500

prune81.0ms

Filtered
50 candidates to 76 candidates (-52.0%)
Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New76076
Fresh033
Picked011
Done033
Total76783

Merged error: 0b

Counts
83 → 7

regimes178.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0468
1468

end0.0ms

sample392.0ms

Algorithm
intervals
Results
245.0ms7999×body80valid
4.0ms158×body80nan
2.0ms76×body80invalid
0.0ms1×body640valid

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