Details

Time bar (total: 2.5s)

analyze240.0ms

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
12.5%87.4%0.1%4
12.5%87.4%0.1%5
15.6%84.3%0.1%6
32.8%67.1%0.1%7
38.2%61.6%0.1%8
46%53.8%0.1%9
62.6%37.3%0.1%10
67.2%32.7%0.1%11
71.1%28.8%0.1%12
81.6%18.2%0.1%13
84.1%15.7%0.1%14

sample17.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0114
1144
2144

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 7.8b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(- 1.0 (/ y z))
7.8b
(/ (+ x y) (- 1.0 (/ y z)))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
44×add-sqr-sqrt
40×*-un-lft-identity
30×times-frac
14×add-cube-cbrt
12×difference-of-squares
7×distribute-lft-out
6×associate-/r* distribute-lft-out--
4×add-exp-log add-cbrt-cube associate-/l* add-log-exp
2×pow1 flip3-- associate-/r/ flip-- associate-/l/
1×cbrt-undiv sub-neg frac-2neg flip3-+ diff-log div-exp clear-num flip-+ div-inv
Counts
2 → 65
Calls
2 calls:
6.0ms
(- 1.0 (/ y z))
12.0ms
(/ (+ x y) (- 1.0 (/ y z)))

series14.0ms

Counts
2 → 6
Calls
2 calls:
3.0ms
(- 1.0 (/ y z))
11.0ms
(/ (+ x y) (- 1.0 (/ y z)))

simplify53.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0220502
1647479
21838479
35001479

prune120.0ms

Filtered
47 candidates to 71 candidates (-51.1%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New601171
Fresh000
Picked101
Done000
Total611172

Merged error: 6.8b

Counts
72 → 11

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(- 1.0 (/ y z))
0.1b
(/ 1 (- 1.0 (/ y z)))
7.7b
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
72×add-sqr-sqrt
46×times-frac
44×*-un-lft-identity
25×add-cube-cbrt
24×associate-*r*
16×add-exp-log difference-of-squares
10×add-cbrt-cube
8×distribute-lft-out--
6×pow1 associate-/r*
5×add-log-exp
4×div-exp associate-*l* prod-exp associate-/r/
3×flip3-- flip-- associate-/l* unswap-sqr
2×cbrt-undiv frac-times rec-exp flip3-+ 1-exp associate-*l/ cbrt-unprod flip-+ div-inv
1×sub-neg pow-flip frac-2neg diff-log associate-*r/ pow-prod-down clear-num un-div-inv *-commutative distribute-lft-out inv-pow
Counts
3 → 112
Calls
3 calls:
6.0ms
(- 1.0 (/ y z))
8.0ms
(/ 1 (- 1.0 (/ y z)))
23.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

series20.0ms

Counts
3 → 9
Calls
3 calls:
3.0ms
(- 1.0 (/ y z))
6.0ms
(/ 1 (- 1.0 (/ y z)))
11.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

simplify48.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0360742
11650661
25002611

prune144.0ms

Filtered
68 candidates to 121 candidates (-77.9%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New1183121
Fresh3710
Picked011
Done000
Total12111132

Merged error: 6.8b

Counts
132 → 11

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(- 1.0 (/ y z))
0.2b
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
7.8b
(/ (- 1.0 (/ y z)) (+ x y))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
232×times-frac
200×add-sqr-sqrt
196×*-un-lft-identity
90×add-cube-cbrt
44×difference-of-squares
34×associate-/r*
31×distribute-lft-out
22×distribute-lft-out--
16×add-exp-log
11×associate-/r/
10×add-cbrt-cube
9×associate-/l*
8×div-exp
6×div-inv
5×flip3-+ flip-+ add-log-exp
4×pow1 cbrt-undiv
2×rec-exp flip3-- frac-2neg 1-exp clear-num flip-- associate-/l/
1×sub-neg pow-flip diff-log div-sub inv-pow
Counts
3 → 210
Calls
3 calls:
7.0ms
(- 1.0 (/ y z))
17.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
13.0ms
(/ (- 1.0 (/ y z)) (+ x y))

series41.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(- 1.0 (/ y z))
25.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
12.0ms
(/ (- 1.0 (/ y z)) (+ x y))

simplify81.0ms

Algorithm
egg-herbie
Counts
219 → 219
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
06122119
127201933
250011769

prune201.0ms

Filtered
96 candidates to 219 candidates (-128.1%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New2181219
Fresh279
Picked011
Done011
Total22010230

Merged error: 6.8b

Counts
230 → 10

localize13.0ms

Local error

Found 4 expressions with local error:

7.8b
(/ (+ x y) (* (* (cbrt (- 1.0 (/ y z))) (cbrt (- 1.0 (/ y z)))) (cbrt (- 1.0 (/ y z)))))
8.1b
(cbrt (- 1.0 (/ y z)))
8.1b
(cbrt (- 1.0 (/ y z)))
8.1b
(cbrt (- 1.0 (/ y z)))

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
60×cbrt-div
30×flip3-- flip--
28×frac-times
26×associate-/r/
24×add-sqr-sqrt
19×*-un-lft-identity
18×cbrt-prod
14×associate-*l/
13×add-exp-log
9×add-cube-cbrt add-cbrt-cube
8×associate-*r/
7×times-frac
6×difference-of-squares
4×pow1 associate-/l* add-log-exp
3×cbrt-undiv pow1/3 div-exp prod-exp cbrt-unprod distribute-lft-out--
2×associate-/l/ distribute-lft-out
1×frac-2neg flip3-+ clear-num associate-/r* flip-+ div-inv
Counts
4 → 101
Calls
4 calls:
36.0ms
(/ (+ x y) (* (* (cbrt (- 1.0 (/ y z))) (cbrt (- 1.0 (/ y z)))) (cbrt (- 1.0 (/ y z)))))
7.0ms
(cbrt (- 1.0 (/ y z)))
7.0ms
(cbrt (- 1.0 (/ y z)))
7.0ms
(cbrt (- 1.0 (/ y z)))

series121.0ms

Counts
4 → 12
Calls
4 calls:
11.0ms
(/ (+ x y) (* (* (cbrt (- 1.0 (/ y z))) (cbrt (- 1.0 (/ y z)))) (cbrt (- 1.0 (/ y z)))))
37.0ms
(cbrt (- 1.0 (/ y z)))
36.0ms
(cbrt (- 1.0 (/ y z)))
36.0ms
(cbrt (- 1.0 (/ y z)))

simplify76.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 3 (63.0ms)

IterNodesCost
04221326
110581221
235211129
350011089

prune194.0ms

Filtered
80 candidates to 113 candidates (-41.3%)
Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New1130113
Fresh077
Picked011
Done022
Total11310123

Merged error: 6.8b

Counts
123 → 10

regimes216.0ms

Accuracy

0% (2.2b remaining)

Error of 8.2b against oracle of 6.0b and baseline of 8.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0145
1145

end0.0ms

analyze230.0ms

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
12.5%87.4%0.1%4
12.5%87.4%0.1%5
15.6%84.3%0.1%6
32.8%67.1%0.1%7
38.2%61.6%0.1%8
46%53.8%0.1%9
62.6%37.3%0.1%10
67.2%32.7%0.1%11
71.1%28.8%0.1%12
81.6%18.2%0.1%13
84.1%15.7%0.1%14

sample437.0ms

Algorithm
intervals
Results
262.0ms7999×body80valid
0.0ms1×body1280valid

Profiling

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