Details

Time bar (total: 2.9s)

sample23.0ms

Algorithm
intervals
Results
11.0ms256×body80valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0157
1227
2247
3247

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 39.4b

Counts
2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (+ (* x x) (* y y)) (* z z))
0.1b
(/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)
36.6b
(sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt
19×times-frac
18×add-cube-cbrt *-un-lft-identity
13×sqrt-prod
8×add-log-exp
5×add-exp-log add-cbrt-cube
4×pow1
3×associate-/r* sum-log associate-/l*
2×rem-sqrt-square flip3-+ flip-+ div-inv associate-/l/
1×cbrt-undiv +-commutative associate-+l+ frac-2neg sqrt-pow1 pow1/2 sqrt-div div-exp clear-num
Counts
3 → 67
Calls
3 calls:
6.0ms
(+ (+ (* x x) (* y y)) (* z z))
12.0ms
(/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)
5.0ms
(sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))

series50.0ms

Counts
3 → 9
Calls
3 calls:
10.0ms
(+ (+ (* x x) (* y y)) (* z z))
13.0ms
(/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)
27.0ms
(sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))

simplify108.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 3 (100.0ms)

IterNodesCost
0259758
11001695
24255689
35001687

prune125.0ms

Filtered
60 candidates to 76 candidates (-26.7%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New71576
Fresh000
Picked011
Done000
Total71677

Merged error: 18.5b

Counts
77 → 6

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (+ (* x x) (* y y)) (* z z))
0.4b
(* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0)))
36.5b
(sqrt (+ (+ (* x x) (* y y)) (* z z)))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
33×add-sqr-sqrt
29×sqrt-prod
16×*-un-lft-identity associate-*r*
14×add-cube-cbrt
13×times-frac
9×sqrt-div
8×pow1 add-log-exp unswap-sqr
6×associate-*l*
5×add-exp-log add-cbrt-cube
4×flip3-+ flip-+
3×sqrt-pow1 pow1/2 pow-prod-down sum-log
2×frac-times associate-*l/
1×+-commutative rem-sqrt-square associate-+l+ sqrt-unprod associate-*r/ prod-exp *-commutative cbrt-unprod div-inv
Counts
3 → 77
Calls
3 calls:
6.0ms
(+ (+ (* x x) (* y y)) (* z z))
14.0ms
(* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0)))
5.0ms
(sqrt (+ (+ (* x x) (* y y)) (* z z)))

series58.0ms

Counts
3 → 9
Calls
3 calls:
12.0ms
(+ (+ (* x x) (* y y)) (* z z))
27.0ms
(* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0)))
19.0ms
(sqrt (+ (+ (* x x) (* y y)) (* z z)))

simplify38.0ms

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0288916
11133879
25002855

prune113.0ms

Filtered
57 candidates to 86 candidates (-50.9%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New86086
Fresh044
Picked011
Done011
Total86692

Merged error: 18.5b

Counts
92 → 6

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (+ (* x x) (* y y)) (* z z))
0.4b
(/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0))
36.5b
(sqrt (+ (+ (* x x) (* y y)) (* z z)))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
45×sqrt-prod
36×times-frac
33×add-sqr-sqrt
32×add-cube-cbrt *-un-lft-identity
8×add-log-exp
6×associate-/r* associate-/l*
5×add-exp-log add-cbrt-cube
4×pow1 sqrt-div
3×flip3-+ sum-log flip-+
2×associate-/l/
1×cbrt-undiv +-commutative rem-sqrt-square associate-+l+ sqrt-undiv frac-2neg sqrt-pow1 pow1/2 div-exp clear-num div-inv
Counts
3 → 91
Calls
3 calls:
6.0ms
(+ (+ (* x x) (* y y)) (* z z))
9.0ms
(/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0))
5.0ms
(sqrt (+ (+ (* x x) (* y y)) (* z z)))

series62.0ms

Counts
3 → 9
Calls
3 calls:
13.0ms
(+ (+ (* x x) (* y y)) (* z z))
31.0ms
(/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0))
19.0ms
(sqrt (+ (+ (* x x) (* y y)) (* z z)))

simplify114.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 2 (25.0ms)

IterNodesCost
02641246
19891175
246931148
350021148

prune117.0ms

Filtered
61 candidates to 100 candidates (-63.9%)
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New973100
Fresh033
Picked011
Done022
Total979106

Merged error: 18.4b

Counts
106 → 9

localize4.0ms

Local error

Found 1 expressions with local error:

0.4b
(/ (* -1 x) (sqrt 3.0))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
6×add-exp-log times-frac associate-/r* sqrt-prod add-cbrt-cube
5×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
2×cbrt-undiv div-exp
1×pow1 frac-2neg mul-1-neg distribute-frac-neg prod-exp clear-num cbrt-unprod div-inv associate-/l* add-log-exp
Counts
1 → 28
Calls
1 calls:
5.0ms
(/ (* -1 x) (sqrt 3.0))

series6.0ms

Counts
1 → 3
Calls
1 calls:
6.0ms
(/ (* -1 x) (sqrt 3.0))

simplify87.0ms

Algorithm
egg-herbie
Counts
31 → 31
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0132140
1693121
24212121
35001121

prune35.0ms

Filtered
19 candidates to 31 candidates (-63.2%)
Pruning

14 alts after pruning (11 fresh and 3 done)

PrunedKeptTotal
New25631
Fresh055
Picked101
Done033
Total261440

Merged error: 18.4b

Counts
40 → 14

regimes1.2s

Accuracy

62.1% (7.3b remaining)

Error of 25.7b against oracle of 18.3b and baseline of 37.7b

bsearch40.0ms

Steps
ItersRangePoint
10
5.242437936160583e+106
4.542616370801519e+122
4.927643050027746e+110
8
-3.964868664092438e+132
-3.707993431310776e+128
-2.7474419517465476e+130

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03016
13016

end0.0ms

sample589.0ms

Algorithm
intervals
Results
357.0ms8000×body80valid

Profiling

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