Details

Time bar (total: 1.5s)

analyze68.0ms

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%99.9%0.1%4
25%74.9%0.1%5
37.5%62.4%0.1%6
43.7%43.7%12.6%7
53.1%34.3%12.6%8
57.8%23.4%18.8%9
63.2%18%18.8%10
66%12.1%22%11
68.9%9.2%22%12
70.3%6.1%23.5%13
71.9%4.6%23.5%14

sample15.0ms

Algorithm
intervals
Results
8.0ms256×body80valid
0.0ms5×body80invalid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0187
1187

prune2.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 6.6b

Counts
2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

6.2b
(* x (+ 1.0 (* y y)))

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt
3×pow1 add-exp-log add-cube-cbrt *-un-lft-identity associate-*r* associate-*l* add-cbrt-cube
2×associate-*r/
1×distribute-rgt-in distribute-lft-in flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ add-log-exp unswap-sqr
Counts
1 → 22
Calls
1 calls:
5.0ms
(* x (+ 1.0 (* y y)))

series9.0ms

Counts
1 → 3
Calls
1 calls:
9.0ms
(* x (+ 1.0 (* y y)))

simplify47.0ms

Algorithm
egg-herbie
Counts
25 → 25
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
04909206
14909206

prune40.0ms

Filtered
17 candidates to 25 candidates (-47.1%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New21425
Fresh000
Picked011
Done000
Total21526

Merged error: 6.4b

Counts
26 → 5

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b
(* x (sqrt (+ 1.0 (* y y))))
0.1b
(* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))
6.2b
(sqrt (+ 1.0 (* y y)))
6.2b
(sqrt (+ 1.0 (* y y)))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
18×sqrt-div
17×add-sqr-sqrt
13×pow1 sqrt-prod
12×associate-*r*
11×add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
10×associate-*r/
9×flip3-+ flip-+
4×frac-times associate-*l* pow-prod-down prod-exp cbrt-unprod add-log-exp
2×rem-sqrt-square sqrt-pow1 pow1/2 associate-*l/ *-commutative unswap-sqr
Counts
4 → 83
Calls
4 calls:
6.0ms
(* x (sqrt (+ 1.0 (* y y))))
9.0ms
(* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))
2.0ms
(sqrt (+ 1.0 (* y y)))
3.0ms
(sqrt (+ 1.0 (* y y)))

series27.0ms

Counts
4 → 12
Calls
4 calls:
11.0ms
(* x (sqrt (+ 1.0 (* y y))))
9.0ms
(* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))
3.0ms
(sqrt (+ 1.0 (* y y)))
3.0ms
(sqrt (+ 1.0 (* y y)))

simplify31.0ms

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 0 (21.0ms)

IterNodesCost
04957992
14957992

prune141.0ms

Filtered
70 candidates to 95 candidates (-35.7%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New93295
Fresh033
Picked011
Done011
Total937100

Merged error: 6.4b

Counts
100 → 7

localize8.0ms

Local error

Found 4 expressions with local error:

1.3b
(* x (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y)))))
6.3b
(cbrt (+ 1.0 (* y y)))
6.3b
(cbrt (+ 1.0 (* y y)))
6.3b
(cbrt (+ 1.0 (* y y)))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-div
10×associate-*r/
9×pow1 add-exp-log cbrt-prod add-sqr-sqrt flip3-+ flip-+
8×add-cube-cbrt *-un-lft-identity
7×add-cbrt-cube
4×frac-times add-log-exp
3×pow1/3 associate-*l* pow-prod-down prod-exp cbrt-unprod
2×associate-*l/
1×associate-*r* *-commutative unswap-sqr
Counts
4 → 66
Calls
4 calls:
10.0ms
(* x (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y)))))
2.0ms
(cbrt (+ 1.0 (* y y)))
3.0ms
(cbrt (+ 1.0 (* y y)))
2.0ms
(cbrt (+ 1.0 (* y y)))

series65.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(* x (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y)))))
12.0ms
(cbrt (+ 1.0 (* y y)))
11.0ms
(cbrt (+ 1.0 (* y y)))
13.0ms
(cbrt (+ 1.0 (* y y)))

simplify57.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
05373972

prune155.0ms

Filtered
61 candidates to 78 candidates (-27.9%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New78078
Fresh044
Picked011
Done022
Total78785

Merged error: 6.4b

Counts
85 → 7

localize9.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
2.1b
(* (+ 1.0 (* y y)) (cbrt x))
4.3b
(* (* (cbrt x) (cbrt x)) (* (+ 1.0 (* y y)) (cbrt x)))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
18×pow1 add-exp-log
13×add-sqr-sqrt
11×add-cbrt-cube
10×cbrt-prod
9×add-cube-cbrt *-un-lft-identity pow-prod-down prod-exp cbrt-unprod
7×associate-*r*
4×associate-*l* associate-*l/ add-log-exp
2×flip3-+ pow1/3 associate-*r/ *-commutative flip-+ unswap-sqr
Counts
4 → 70
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
6.0ms
(* (+ 1.0 (* y y)) (cbrt x))
10.0ms
(* (* (cbrt x) (cbrt x)) (* (+ 1.0 (* y y)) (cbrt x)))

series77.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt x)
21.0ms
(cbrt x)
20.0ms
(* (+ 1.0 (* y y)) (cbrt x))
15.0ms
(* (* (cbrt x) (cbrt x)) (* (+ 1.0 (* y y)) (cbrt x)))

simplify62.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 0 (55.0ms)

IterNodesCost
04860580
14860580

prune69.0ms

Filtered
54 candidates to 82 candidates (-51.9%)
Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New82082
Fresh033
Picked011
Done033
Total82789

Merged error: 6.4b

Counts
89 → 7

regimes243.0ms

Accuracy

0% (0.2b remaining)

Error of 5.6b against oracle of 5.4b and baseline of 5.6b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
087
187

end0.0ms

sample308.0ms

Algorithm
intervals
Results
178.0ms8000×body80valid
4.0ms184×body80invalid

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