Details

Time bar (total: 2.5s)

analyze272.0ms

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

sample15.0ms

Algorithm
intervals
Results
7.0ms256×body80valid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
099
199

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 6.5b

Counts
2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(- 1.0 (/ y z))
6.5b
(/ (+ x y) (- 1.0 (/ y z)))

rewrite19.0ms

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 → 64
Calls
2 calls:
6.0ms
(- 1.0 (/ y z))
10.0ms
(/ (+ x y) (- 1.0 (/ y z)))

series13.0ms

Counts
2 → 6
Calls
2 calls:
3.0ms
(- 1.0 (/ y z))
10.0ms
(/ (+ x y) (- 1.0 (/ y z)))

simplify41.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
05144924

prune100.0ms

Filtered
47 candidates to 70 candidates (-48.9%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New64670
Fresh000
Picked011
Done000
Total64771

Merged error: 4.7b

Counts
71 → 7

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- 1.0 (/ y z))
0.5b
(/ 1 (- 1.0 (/ y z)))
5.9b
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

rewrite34.0ms

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 → 111
Calls
3 calls:
6.0ms
(- 1.0 (/ y z))
8.0ms
(/ 1 (- 1.0 (/ y z)))
15.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

series21.0ms

Counts
3 → 9
Calls
3 calls:
3.0ms
(- 1.0 (/ y z))
6.0ms
(/ 1 (- 1.0 (/ y z)))
13.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

simplify46.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
049951263
149951263

prune135.0ms

Filtered
75 candidates to 120 candidates (-60.0%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1200120
Fresh055
Picked011
Done011
Total1207127

Merged error: 4.7b

Counts
127 → 7

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- 1.0 (/ y z))
0.2b
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
6.5b
(/ (- 1.0 (/ y z)) (+ x y))

rewrite45.0ms

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 → 209
Calls
3 calls:
6.0ms
(- 1.0 (/ y z))
15.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
10.0ms
(/ (- 1.0 (/ y z)) (+ x y))

series30.0ms

Counts
3 → 9
Calls
3 calls:
3.0ms
(- 1.0 (/ y z))
17.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
10.0ms
(/ (- 1.0 (/ y z)) (+ x y))

simplify75.0ms

Algorithm
egg-herbie
Counts
218 → 218
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
051003560

prune216.0ms

Filtered
122 candidates to 218 candidates (-78.7%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New2171218
Fresh224
Picked011
Done022
Total2196225

Merged error: 0.0b

Counts
225 → 6

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ 1.0 (+ y x)) (/ y (* z (+ y x))))
0.0b
(/ 1.0 (+ y x))
0.2b
(/ 1 (- (/ 1.0 (+ y x)) (/ y (* z (+ y x)))))
9.1b
(/ y (* z (+ y x)))

rewrite81.0ms

Algorithm
rewrite-expression-head
Rules
53×add-sqr-sqrt
46×*-un-lft-identity
44×times-frac
28×add-cube-cbrt
27×associate-/r/
15×add-exp-log
13×associate-/r* add-cbrt-cube
12×flip3-+ associate-*r/ flip-+
10×distribute-rgt-out-- difference-of-squares
9×associate-/l*
6×add-log-exp
5×pow1 div-exp distribute-lft-out--
4×cbrt-undiv distribute-lft-out
3×frac-2neg clear-num div-inv
2×flip3-- frac-sub flip--
1×sub-neg rec-exp pow-flip diff-log 1-exp prod-exp cbrt-unprod inv-pow
Counts
4 → 127
Calls
4 calls:
25.0ms
(- (/ 1.0 (+ y x)) (/ y (* z (+ y x))))
8.0ms
(/ 1.0 (+ y x))
28.0ms
(/ 1 (- (/ 1.0 (+ y x)) (/ y (* z (+ y x)))))
10.0ms
(/ y (* z (+ y x)))

series58.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(- (/ 1.0 (+ y x)) (/ y (* z (+ y x))))
5.0ms
(/ 1.0 (+ y x))
19.0ms
(/ 1 (- (/ 1.0 (+ y x)) (/ y (* z (+ y x)))))
18.0ms
(/ y (* z (+ y x)))

simplify66.0ms

Algorithm
egg-herbie
Counts
139 → 139
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
050012059

prune138.0ms

Filtered
94 candidates to 139 candidates (-47.9%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New1372139
Fresh022
Picked011
Done123
Total1387145

Merged error: 0b

Counts
145 → 7

regimes244.0ms

Accuracy

38.2% (0.9b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 1.4b

bsearch234.0ms

Steps
ItersRangePoint
7
6.122945714861431e+43
3.5975554181967996e+45
6.225520436987633e+43
8
-2.9903015925097585e+142
-4.623858636814487e+137
-3.782873844587409e+138

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02735
12735

end0.0ms

analyze218.0ms

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

sample377.0ms

Algorithm
intervals
Results
230.0ms7999×body80valid
0.0ms1×body1280valid

Profiling

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