Details

Time bar (total: 1.2s)

sample17.0ms

Algorithm
intervals
Results
7.0ms256×body80valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
074
174

prune3.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 31.1b

Counts
2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x x) (* y y))
29.3b
(sqrt (+ (* x x) (* y y)))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
4×add-sqr-sqrt add-log-exp
3×pow1 add-cube-cbrt *-un-lft-identity sqrt-prod
2×add-exp-log flip3-+ sqrt-div add-cbrt-cube flip-+
1×+-commutative rem-sqrt-square sqrt-pow1 pow1/2 sum-log
Counts
2 → 26
Calls
2 calls:
3.0ms
(+ (* x x) (* y y))
3.0ms
(sqrt (+ (* x x) (* y y)))

series11.0ms

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

simplify48.0ms

Algorithm
egg-herbie
Counts
32 → 32
Iterations

Useful iterations: 3 (44.0ms)

IterNodesCost
0125177
1530163
21540163
35001162

prune47.0ms

Filtered
32 candidates to 25 candidates (21.9%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New28432
Fresh000
Picked011
Done000
Total28533

Merged error: 9.2b

Counts
33 → 5

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x x) (* y y))
0.5b
(* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))))
29.3b
(sqrt (+ (* x x) (* y y)))
29.3b
(sqrt (+ (* x x) (* y y)))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
72×sqrt-prod
50×add-sqr-sqrt
34×sqrt-pow1
29×pow1
28×sqrt-div
18×add-cube-cbrt *-un-lft-identity pow1/2
15×swap-sqr
9×flip3-+ associate-*r* associate-*l* pow-prod-up flip-+ unswap-sqr
6×add-exp-log add-cbrt-cube add-log-exp
5×pow-prod-down pow-sqr
4×frac-times
2×rem-sqrt-square associate-*r/ associate-*l/
1×+-commutative pow2 pow-plus sqrt-unprod prod-exp sum-log rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 124
Calls
4 calls:
4.0ms
(+ (* x x) (* y y))
16.0ms
(* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))))
4.0ms
(sqrt (+ (* x x) (* y y)))
3.0ms
(sqrt (+ (* x x) (* y y)))

series23.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(+ (* x x) (* y y))
6.0ms
(* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))))
6.0ms
(sqrt (+ (* x x) (* y y)))
6.0ms
(sqrt (+ (* x x) (* y y)))

simplify45.0ms

Algorithm
egg-herbie
Counts
136 → 136
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0239967
11057893
25001872

prune93.0ms

Filtered
136 candidates to 70 candidates (48.5%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1360136
Fresh033
Picked011
Done011
Total1365141

Merged error: 9.2b

Counts
141 → 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: 9.2b

Counts
5 → 5

localize2.0ms

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: 9.2b

Counts
5 → 5

regimes432.0ms

Accuracy

57% (10.3b remaining)

Error of 17.9b against oracle of 7.6b and baseline of 31.7b

bsearch22.0ms

Steps
ItersRangePoint
6
3.9313145927311245e+121
2.0989723635039152e+122
1.4326679661689458e+122
8
-1.8617438688706116e+78
-9.289314960594277e+73
-1.7272871514610867e+78

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0175
1175

end0.0ms

sample437.0ms

Algorithm
intervals
Results
232.0ms8000×body80valid

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