Details

Time bar (total: 1.6s)

analyze59.0ms

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

sample15.0ms

Algorithm
intervals
Results
8.0ms256×body80valid
0.0ms4×body80nan
0.0ms1×body80invalid

simplify7.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (6.0ms)

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))

series15.0ms

Counts
2 → 6
Calls
2 calls:
9.0ms
(+ (- 1.0 x) (* y (sqrt x)))
6.0ms
(* y (sqrt x))

simplify39.0ms

Algorithm
egg-herbie
Counts
42 → 42
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
04928360
14928360

prune58.0ms

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

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New38442
Fresh000
Picked011
Done000
Total38543

Merged error: 0.0b

Counts
43 → 5

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite38.0ms

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

series50.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(sqrt (sqrt x))
14.0ms
(sqrt (sqrt x))
10.0ms
(* y (sqrt (sqrt x)))
9.0ms
(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

simplify53.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
05020626

prune97.0ms

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

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New973100
Fresh123
Picked011
Done011
Total987105

Merged error: 0.0b

Counts
105 → 7

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
36×sqrt-prod
27×add-sqr-sqrt
18×associate-*r*
17×pow1
15×add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
10×associate-*l*
9×cbrt-prod pow-prod-down
7×prod-exp cbrt-unprod
6×unswap-sqr
4×add-log-exp
2×sqrt-pow1 pow1/2 pow1/3 *-commutative
1×sqrt-unprod
Counts
4 → 87
Calls
4 calls:
13.0ms
(* (* y (* (sqrt (sqrt x)) (sqrt (fabs (cbrt x))))) (sqrt (sqrt (cbrt x))))
7.0ms
(* (sqrt (sqrt x)) (sqrt (fabs (cbrt x))))
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series107.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(* (* y (* (sqrt (sqrt x)) (sqrt (fabs (cbrt x))))) (sqrt (sqrt (cbrt x))))
27.0ms
(* (sqrt (sqrt x)) (sqrt (fabs (cbrt x))))
22.0ms
(cbrt x)
23.0ms
(cbrt x)

simplify63.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
049091077
149091077

prune113.0ms

Filtered
62 candidates to 99 candidates (-59.7%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New98199
Fresh134
Picked101
Done022
Total1006106

Merged error: 0b

Counts
106 → 6

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b
(* (cbrt (sqrt x)) (cbrt (sqrt x)))
0.6b
(cbrt x)
0.6b
(cbrt (sqrt x))
0.6b
(cbrt (sqrt x))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
55×cbrt-prod
43×add-sqr-sqrt
26×sqrt-prod
21×add-cube-cbrt *-un-lft-identity
11×pow1 swap-sqr
9×pow1/3 associate-*r* associate-*l* unswap-sqr
6×add-exp-log
4×add-cbrt-cube add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 95
Calls
4 calls:
7.0ms
(* (cbrt (sqrt x)) (cbrt (sqrt x)))
1.0ms
(cbrt x)
2.0ms
(cbrt (sqrt x))
2.0ms
(cbrt (sqrt x))

series69.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(* (cbrt (sqrt x)) (cbrt (sqrt x)))
21.0ms
(cbrt x)
15.0ms
(cbrt (sqrt x))
16.0ms
(cbrt (sqrt x))

simplify45.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
05214685

prune108.0ms

Filtered
64 candidates to 107 candidates (-67.2%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New1070107
Fresh033
Picked011
Done022
Total1076113

Merged error: 0b

Counts
113 → 6

regimes149.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0198
1198

end0.0ms

sample384.0ms

Algorithm
intervals
Results
241.0ms7998×body80valid
4.0ms140×body80nan
2.0ms60×body80invalid
0.0ms1×body1280valid
0.0ms1×body640valid

Profiling

Loading profile data...