Details

Time bar (total: 1.3s)

analyze90.0ms

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
56.2%43.7%0.1%7
65.6%34.3%0.1%8
76.5%23.4%0.1%9
82%18%0.1%10
87.8%12.1%0.1%11
90.7%9.2%0.1%12
93.8%6.1%0.1%13
95.3%4.6%0.1%14

sample18.0ms

Algorithm
intervals
Results
11.0ms256×body80valid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
078
178

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 30.2b

Counts
2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x x) (* y y))
28.2b
(sqrt (+ (* x x) (* y y)))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt add-log-exp
pow1 add-cube-cbrt *-un-lft-identity sqrt-prod
add-exp-log flip3-+ sqrt-div add-cbrt-cube flip-+
+-commutative rem-sqrt-square sqrt-pow1 pow1/2 sum-log
Counts
2 → 26
Calls
2 calls:
4.0ms
(+ (* x x) (* y y))
4.0ms
(sqrt (+ (* x x) (* y y)))

series12.0ms

Counts
2 → 6
Calls
2 calls:
5.0ms
(+ (* x x) (* y y))
6.0ms
(sqrt (+ (* x x) (* y y)))

simplify53.0ms

Algorithm
egg-herbie
Counts
32 → 32
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
04909295
14909295

prune51.0ms

Filtered
25 candidates to 32 candidates (-28.0%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New28432
Fresh000
Picked011
Done000
Total28533

Merged error: 7.0b

Counts
33 → 5

localize9.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (cbrt (+ (* x x) (* y y))))
0.3b
(* (fabs (cbrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y)))))
29.2b
(cbrt (+ (* x x) (* y y)))
29.2b
(cbrt (+ (* x x) (* y y)))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
14×cbrt-prod sqrt-prod
12×add-cube-cbrt *-un-lft-identity
associate-*r*
cbrt-div
pow1
add-exp-log add-cbrt-cube
flip3-+ sqrt-div flip-+ add-log-exp
pow1/3 associate-*l* unswap-sqr
rem-sqrt-square sqrt-pow1 associate-*r/
pow1/2 pow-prod-down prod-exp *-commutative cbrt-unprod
Counts
4 → 74
Calls
4 calls:
4.0ms
(sqrt (cbrt (+ (* x x) (* y y))))
8.0ms
(* (fabs (cbrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y)))))
3.0ms
(cbrt (+ (* x x) (* y y)))
4.0ms
(cbrt (+ (* x x) (* y y)))

series99.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(sqrt (cbrt (+ (* x x) (* y y))))
34.0ms
(* (fabs (cbrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y)))))
23.0ms
(cbrt (+ (* x x) (* y y)))
21.0ms
(cbrt (+ (* x x) (* y y)))

simplify46.0ms

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
049181247
149181247

prune94.0ms

Filtered
65 candidates to 86 candidates (-32.3%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New86086
Fresh033
Picked011
Done011
Total86591

Merged error: 7.0b

Counts
91 → 5

localize1.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify2.0ms

Algorithm
egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
000

prune4.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New000
Fresh022
Picked011
Done022
Total055

Merged error: 7.0b

Counts
5 → 5

localize1.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify2.0ms

Algorithm
egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
000

prune0.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New000
Fresh011
Picked011
Done033
Total055

Merged error: 7.0b

Counts
5 → 5

regimes377.0ms

Accuracy

60.9% (9.2b remaining)

Error of 17.2b against oracle of 8.0b and baseline of 31.5b

bsearch23.0ms

Steps
ItersRangePoint
10
6.772030844804067e+138
4.3584414897108496e+148
1.876650993847079e+142
7
-9.987386909814076e+130
-1.796098919070756e+129
-3.4475662606183263e+130

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02119
12119

end0.0ms

sample356.0ms

Algorithm
intervals
Results
235.0ms8000×body80valid

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