Details

Time bar (total: 2.9s)

sample23.0ms

Algorithm
intervals
Results
14.0ms256×body80valid

simplify7.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0157
1227
2247
3247

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 39.5b

Counts
2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

0.1b
(/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)
36.6b
(sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
19×times-frac
17×add-cube-cbrt *-un-lft-identity
13×sqrt-prod
4×add-exp-log add-cbrt-cube
3×pow1 associate-/r* associate-/l*
2×rem-sqrt-square div-inv associate-/l/ add-log-exp
1×cbrt-undiv frac-2neg sqrt-pow1 flip3-+ pow1/2 sqrt-div div-exp clear-num flip-+
Counts
2 → 54
Calls
2 calls:
8.0ms
(/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)
5.0ms
(sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))

series207.0ms

Counts
2 → 6
Calls
2 calls:
46.0ms
(/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)
160.0ms
(sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))

simplify102.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 3 (89.0ms)

IterNodesCost
0214630
1835578
23394576
35002574

prune155.0ms

Filtered
60 candidates to 49 candidates (81.7%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New55560
Fresh000
Picked101
Done000
Total56561

Merged error: 18.9b

Counts
61 → 5

localize11.0ms

Local error

Found 2 expressions with local error:

0.3b
(* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0)))
36.5b
(sqrt (+ (+ (* x x) (* y y)) (* z z)))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
32×add-sqr-sqrt
29×sqrt-prod
16×associate-*r*
15×*-un-lft-identity
13×add-cube-cbrt times-frac
9×sqrt-div
8×unswap-sqr
7×pow1
6×associate-*l*
4×add-exp-log add-cbrt-cube
3×sqrt-pow1 flip3-+ pow1/2 pow-prod-down flip-+
2×frac-times associate-*l/ add-log-exp
1×rem-sqrt-square sqrt-unprod associate-*r/ prod-exp *-commutative cbrt-unprod div-inv
Counts
2 → 64
Calls
2 calls:
17.0ms
(* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0)))
5.0ms
(sqrt (+ (+ (* x x) (* y y)) (* z z)))

series261.0ms

Counts
2 → 6
Calls
2 calls:
165.0ms
(* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0)))
96.0ms
(sqrt (+ (+ (* x x) (* y y)) (* z z)))

simplify68.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 3 (58.0ms)

IterNodesCost
0235788
1772762
22621738
35001725

prune144.0ms

Filtered
70 candidates to 47 candidates (67.1%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New70070
Fresh044
Picked011
Done000
Total70575

Merged error: 18.9b

Counts
75 → 5

localize10.0ms

Local error

Found 2 expressions with local error:

0.4b
(/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0))
36.5b
(sqrt (+ (+ (* x x) (* y y)) (* z z)))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
45×sqrt-prod
36×times-frac
32×add-sqr-sqrt
31×add-cube-cbrt *-un-lft-identity
6×associate-/r* associate-/l*
4×add-exp-log sqrt-div add-cbrt-cube
3×pow1
2×flip3-+ flip-+ associate-/l/ add-log-exp
1×cbrt-undiv rem-sqrt-square sqrt-undiv frac-2neg sqrt-pow1 pow1/2 div-exp clear-num div-inv
Counts
2 → 78
Calls
2 calls:
9.0ms
(/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0))
5.0ms
(sqrt (+ (+ (* x x) (* y y)) (* z z)))

series323.0ms

Counts
2 → 6
Calls
2 calls:
221.0ms
(/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0))
102.0ms
(sqrt (+ (+ (* x x) (* y y)) (* z z)))

simplify60.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 2 (19.0ms)

IterNodesCost
02111118
16251058
222751035
350021035

prune160.0ms

Filtered
84 candidates to 51 candidates (60.7%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New81384
Fresh033
Picked011
Done011
Total81889

Merged error: 18.8b

Counts
89 → 8

localize3.0ms

Local error

Found 1 expressions with local error:

0.3b
(/ z (sqrt 3.0))

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
18×times-frac
16×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
12×sqrt-prod
6×associate-/r*
3×add-exp-log add-cbrt-cube associate-/l*
1×pow1 cbrt-undiv frac-2neg div-exp clear-num div-inv add-log-exp
Counts
1 → 39
Calls
1 calls:
4.0ms
(/ z (sqrt 3.0))

series66.0ms

Counts
1 → 3
Calls
1 calls:
66.0ms
(/ z (sqrt 3.0))

simplify50.0ms

Algorithm
egg-herbie
Counts
42 → 42
Iterations

Useful iterations: 4 (46.0ms)

IterNodesCost
0103217
1273207
2715197
32013197
45002196

prune56.0ms

Filtered
42 candidates to 26 candidates (61.9%)
Pruning

12 alts after pruning (9 fresh and 3 done)

PrunedKeptTotal
New38442
Fresh055
Picked011
Done022
Total381250

Merged error: 18.8b

Counts
50 → 12

regimes496.0ms

Accuracy

61.6% (7.4b remaining)

Error of 25.5b against oracle of 18.2b and baseline of 37.3b

bsearch69.0ms

Steps
ItersRangePoint
6
6.032929379497232e+122
9.237392696154721e+123
5.834983082911053e+123
6
-4.585091278332084e+73
-9.855852910738255e+72
-2.96173343611481e+73

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02813
13413
23413

end0.0ms

sample537.0ms

Algorithm
intervals
Results
367.0ms8000×body80valid

Profiling

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