Details

Time bar (total: 2.3s)

analyze87.0ms

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

sample26.0ms

Algorithm
intervals
Results
9.0ms256×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: 29.6b

Counts
2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x x) (* y y))
27.9b
(sqrt (+ (* x x) (* y y)))

rewrite8.0ms

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:
4.0ms
(+ (* x x) (* y y))
4.0ms
(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)))

simplify54.0ms

Algorithm
egg-herbie
Counts
32 → 32
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
04909295
14909295

prune47.0ms

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: 5.8b

Counts
33 → 5

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x x) (* y y))
5.7b
(exp (log (sqrt (+ (* x x) (* y y)))))
27.9b
(sqrt (+ (* x x) (* y y)))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt
7×add-cube-cbrt *-un-lft-identity
6×pow1 log-prod exp-prod exp-sum sqrt-prod
5×add-log-exp
4×sqrt-div
3×add-exp-log flip3-+ log-pow add-cbrt-cube flip-+
2×log-div sqrt-pow1 pow1/2 exp-diff
1×+-commutative rem-sqrt-square sum-log rem-exp-log
Counts
3 → 48
Calls
3 calls:
4.0ms
(+ (* x x) (* y y))
6.0ms
(exp (log (sqrt (+ (* x x) (* y y)))))
4.0ms
(sqrt (+ (* x x) (* y y)))

series17.0ms

Counts
3 → 9
Calls
3 calls:
5.0ms
(+ (* x x) (* y y))
6.0ms
(exp (log (sqrt (+ (* x x) (* y y)))))
6.0ms
(sqrt (+ (* x x) (* y y)))

simplify60.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 0 (55.0ms)

IterNodesCost
04933528
14933528

prune74.0ms

Filtered
39 candidates to 57 candidates (-46.2%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New54357
Fresh033
Picked101
Done011
Total55762

Merged error: 5.8b

Counts
62 → 7

localize23.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x x) (* y y))
6.2b
(pow (exp 1/2) (log (+ (* x x) (* y y))))
28.9b
(log (+ (* x x) (* y y)))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×pow1 log-prod
5×add-log-exp
4×add-exp-log log-div pow-unpow pow-pow
3×unpow-prod-up unpow-prod-down exp-prod flip3-+ add-cbrt-cube flip-+
2×log-pow pow-sub
1×+-commutative pow-to-exp rem-log-exp pow-exp sum-log sqr-pow
Counts
3 → 51
Calls
3 calls:
4.0ms
(+ (* x x) (* y y))
6.0ms
(pow (exp 1/2) (log (+ (* x x) (* y y))))
6.0ms
(log (+ (* x x) (* y y)))

series38.0ms

Counts
3 → 9
Calls
3 calls:
5.0ms
(+ (* x x) (* y y))
23.0ms
(pow (exp 1/2) (log (+ (* x x) (* y y))))
9.0ms
(log (+ (* x x) (* y y)))

simplify91.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 0 (85.0ms)

IterNodesCost
04870671
14870671

prune95.0ms

Filtered
42 candidates to 60 candidates (-42.9%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New57360
Fresh055
Picked101
Done011
Total58967

Merged error: 5.8b

Counts
67 → 9

localize20.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (log (+ (* x x) (* y y))) (cbrt 1/2))
1.0b
(* (cbrt 1/2) (cbrt 1/2))
6.1b
(pow (exp (* (cbrt 1/2) (cbrt 1/2))) (* (log (+ (* x x) (* y y))) (cbrt 1/2)))
28.9b
(log (+ (* x x) (* y y)))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
29×add-sqr-sqrt
20×cbrt-prod
17×add-cube-cbrt *-un-lft-identity
16×pow1
12×associate-*r*
10×associate-*l*
9×add-exp-log
6×pow1/3 swap-sqr unswap-sqr
5×add-cbrt-cube add-log-exp
3×unpow-prod-down log-prod pow-pow pow-prod-down
2×log-div prod-exp pow-sqr log-pow *-commutative pow-prod-up cbrt-unprod
1×pow2 pow-to-exp pow-unpow exp-prod exp-to-pow flip3-+ pow-plus rem-log-exp pow-exp flip-+ sqr-pow
Counts
4 → 94
Calls
4 calls:
5.0ms
(* (log (+ (* x x) (* y y))) (cbrt 1/2))
6.0ms
(* (cbrt 1/2) (cbrt 1/2))
4.0ms
(pow (exp (* (cbrt 1/2) (cbrt 1/2))) (* (log (+ (* x x) (* y y))) (cbrt 1/2)))
4.0ms
(log (+ (* x x) (* y y)))

series58.0ms

Counts
4 → 10
Calls
4 calls:
17.0ms
(* (log (+ (* x x) (* y y))) (cbrt 1/2))
0.0ms
(* (cbrt 1/2) (cbrt 1/2))
32.0ms
(pow (exp (* (cbrt 1/2) (cbrt 1/2))) (* (log (+ (* x x) (* y y))) (cbrt 1/2)))
9.0ms
(log (+ (* x x) (* y y)))

simplify58.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 0 (48.0ms)

IterNodesCost
049091094
149091094

prune194.0ms

Filtered
75 candidates to 104 candidates (-38.7%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New1004104
Fresh257
Picked101
Done011
Total10310113

Merged error: 5.8b

Counts
113 → 10

regimes574.0ms

Accuracy

58.2% (9.8b remaining)

Error of 17.6b against oracle of 7.8b and baseline of 31.3b

bsearch52.0ms

Steps
ItersRangePoint
7
4.625434525997574e+122
2.2775394824016533e+124
4.84533569762604e+122
8
-4.3756764942032024e-271
-2.2256758505257955e-274
-1.0528843353740425e-271
8
-6.252894325118909e-181
-1.7895765873670656e-183
-7.019558457161903e-182
10
-6.561815366225205e+156
-1.739390482084111e+143
-3.8911963948436084e+148

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02736
12736

end0.0ms

sample596.0ms

Algorithm
intervals
Results
202.0ms8000×body80valid

Profiling

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