Details

Time bar (total: 1.6s)

analyze76.0ms

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

sample25.0ms

Algorithm
intervals
Results
12.0ms256×body80valid
0.0ms11×body80nan
0.0ms3×body80invalid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0198
1198

prune9.0ms

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

localize6.0ms

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))

simplify36.0ms

Algorithm
egg-herbie
Counts
42 → 42
Iterations

Useful iterations: 0 (32.0ms)

IterNodesCost
05176361

prune62.0ms

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

localize8.0ms

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)))

rewrite20.0ms

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:
2.0ms
(sqrt (sqrt x))
2.0ms
(sqrt (sqrt x))
6.0ms
(* y (sqrt (sqrt x)))
8.0ms
(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

series47.0ms

Counts
4 → 12
Calls
4 calls:
14.0ms
(sqrt (sqrt x))
14.0ms
(sqrt (sqrt x))
12.0ms
(* y (sqrt (sqrt x)))
7.0ms
(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

simplify50.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
05046626

prune92.0ms

Filtered
55 candidates to 100 candidates (-81.8%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New982100
Fresh224
Picked101
Done011
Total1015106

Merged error: 0.0b

Counts
106 → 5

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (- 1.0 x) (* (* y (pow x 1/4)) (sqrt (sqrt x))))
0.1b
(sqrt (sqrt x))
0.3b
(* y (pow x 1/4))
0.3b
(* (* y (pow x 1/4)) (sqrt (sqrt x)))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
19×add-exp-log add-sqr-sqrt sqrt-prod
16×associate-*r*
12×add-cube-cbrt *-un-lft-identity
11×add-cbrt-cube
10×prod-exp
9×add-log-exp
8×pow1
4×unpow-prod-down sqrt-pow1 associate-*l* cbrt-unprod
3×unswap-sqr
2×pow-to-exp rem-sqrt-square pow1/2 pow-exp sum-log *-commutative sqr-pow
1×+-commutative associate-+l- sub-neg associate-+l+ flip3-+ diff-log pow-prod-down flip-+
Counts
4 → 83
Calls
4 calls:
6.0ms
(+ (- 1.0 x) (* (* y (pow x 1/4)) (sqrt (sqrt x))))
2.0ms
(sqrt (sqrt x))
5.0ms
(* y (pow x 1/4))
7.0ms
(* (* y (pow x 1/4)) (sqrt (sqrt x)))

series49.0ms

Counts
4 → 12
Calls
4 calls:
12.0ms
(+ (- 1.0 x) (* (* y (pow x 1/4)) (sqrt (sqrt x))))
14.0ms
(sqrt (sqrt x))
11.0ms
(* y (pow x 1/4))
12.0ms
(* (* y (pow x 1/4)) (sqrt (sqrt x)))

simplify45.0ms

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
04967883
14967883

prune120.0ms

Filtered
63 candidates to 95 candidates (-50.8%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New95095
Fresh033
Picked011
Done011
Total955100

Merged error: 0.0b

Counts
100 → 5

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
21×sqrt-prod
13×pow1
12×add-cube-cbrt *-un-lft-identity associate-*l*
11×add-exp-log add-cbrt-cube
7×associate-*r*
6×cbrt-prod pow-prod-down unswap-sqr
4×prod-exp cbrt-unprod add-log-exp
2×sqrt-pow1 pow1/2 pow1/3 *-commutative
1×sqrt-unprod
Counts
4 → 75
Calls
4 calls:
7.0ms
(* y (* (sqrt (sqrt x)) (sqrt (fabs (cbrt x)))))
7.0ms
(* (sqrt (sqrt x)) (sqrt (fabs (cbrt x))))
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series87.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(* y (* (sqrt (sqrt x)) (sqrt (fabs (cbrt x)))))
23.0ms
(* (sqrt (sqrt x)) (sqrt (fabs (cbrt x))))
23.0ms
(cbrt x)
21.0ms
(cbrt x)

simplify53.0ms

Algorithm
egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
04948786
14948786

prune91.0ms

Filtered
58 candidates to 87 candidates (-50.0%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New86187
Fresh022
Picked011
Done022
Total86692

Merged error: 0b

Counts
92 → 6

regimes166.0ms

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 (0.0ms)

IterNodesCost
098
198

end0.0ms

analyze64.0ms

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

sample364.0ms

Algorithm
intervals
Results
232.0ms7999×body80valid
4.0ms141×body80nan
2.0ms72×body80invalid
0.0ms1×body1280valid

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