Details

Time bar (total: 3.4s)

analyze377.0ms

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
0%99.9%0.1%5
0%99.9%0.1%6
25%74.9%0.1%7
31.2%68.6%0.1%8
42.1%57.7%0.1%9
56.9%42.9%0.1%10
59.5%40.4%0.1%11
68.1%31.8%0.1%12
75.1%24.4%0.5%13
75.7%23.3%1%14

sample39.0ms

Algorithm
intervals
Results
11.0ms36×body1280valid
8.0ms167×body80valid
6.0ms32×body640valid
2.0ms15×body320valid
1.0ms16×body80invalid
1.0ms6×body160valid
0.0ms3×body320invalid
0.0ms1×body640invalid
0.0ms1×body160invalid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0678
1678

prune9.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 2

localize9.0ms

Local error

Found 3 expressions with local error:

0.1b
(* x (/ (sin y) y))
0.1b
(/ (sin y) y)
3.6b
(/ (* x (/ (sin y) y)) z)

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
22×times-frac
21×add-cube-cbrt *-un-lft-identity
19×add-exp-log add-cbrt-cube
13×associate-*r*
6×cbrt-undiv div-exp associate-/r*
5×pow1
4×prod-exp cbrt-unprod associate-/l*
3×associate-*l* div-inv add-log-exp
2×frac-2neg associate-*r/ clear-num unswap-sqr
1×pow-prod-down *-commutative associate-/l/
Counts
3 → 83
Calls
3 calls:
6.0ms
(* x (/ (sin y) y))
3.0ms
(/ (sin y) y)
6.0ms
(/ (* x (/ (sin y) y)) z)

series28.0ms

Counts
3 → 9
Calls
3 calls:
10.0ms
(* x (/ (sin y) y))
4.0ms
(/ (sin y) y)
14.0ms
(/ (* x (/ (sin y) y)) z)

simplify40.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
05065739

prune141.0ms

Filtered
66 candidates to 92 candidates (-39.4%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New87592
Fresh011
Picked011
Done000
Total87794

Merged error: 0.0b

Counts
94 → 7

localize7.0ms

Local error

Found 3 expressions with local error:

0.1b
(* x (sin y))
3.6b
(/ (/ (* x (sin y)) y) z)
6.6b
(/ (* x (sin y)) y)

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
25×add-sqr-sqrt
23×add-cube-cbrt *-un-lft-identity
19×add-exp-log add-cbrt-cube
8×associate-/l*
7×cbrt-undiv div-exp
6×associate-/r* div-inv
5×pow1
3×associate-*r* associate-*l* prod-exp cbrt-unprod add-log-exp
2×frac-2neg clear-num
1×pow-prod-down *-commutative associate-/l/ unswap-sqr
Counts
3 → 87
Calls
3 calls:
5.0ms
(* x (sin y))
6.0ms
(/ (/ (* x (sin y)) y) z)
4.0ms
(/ (* x (sin y)) y)

series32.0ms

Counts
3 → 9
Calls
3 calls:
7.0ms
(* x (sin y))
15.0ms
(/ (/ (* x (sin y)) y) z)
10.0ms
(/ (* x (sin y)) y)

simplify50.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
05005889

prune90.0ms

Filtered
67 candidates to 96 candidates (-43.3%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New94296
Fresh145
Picked011
Done011
Total958103

Merged error: 0b

Counts
103 → 8

localize8.0ms

Local error

Found 3 expressions with local error:

0.1b
(/ z (sin y))
3.6b
(/ x (* y (/ z (sin y))))
8.5b
(* y (/ z (sin y)))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
22×times-frac
21×add-cube-cbrt *-un-lft-identity
19×add-exp-log add-cbrt-cube
13×associate-*r*
6×cbrt-undiv div-exp associate-/l*
5×pow1
4×prod-exp associate-/r* cbrt-unprod
3×associate-*l* div-inv add-log-exp
2×frac-2neg associate-*r/ clear-num unswap-sqr
1×pow-prod-down associate-/r/ *-commutative
Counts
3 → 83
Calls
3 calls:
3.0ms
(/ z (sin y))
6.0ms
(/ x (* y (/ z (sin y))))
7.0ms
(* y (/ z (sin y)))

series39.0ms

Counts
3 → 9
Calls
3 calls:
11.0ms
(/ z (sin y))
14.0ms
(/ x (* y (/ z (sin y))))
14.0ms
(* y (/ z (sin y)))

simplify48.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
05008737

prune81.0ms

Filtered
66 candidates to 92 candidates (-39.4%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New90292
Fresh235
Picked011
Done022
Total928100

Merged error: 0b

Counts
100 → 8

localize8.0ms

Local error

Found 2 expressions with local error:

0.2b
(* (sin y) (/ x z))
8.8b
(* (/ 1 y) (* (sin y) (/ x z)))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
46×add-exp-log
28×add-cbrt-cube
22×add-sqr-sqrt prod-exp
19×times-frac
17×add-cube-cbrt *-un-lft-identity
16×associate-*l*
14×associate-*r*
12×cbrt-unprod
11×div-exp
9×pow1
6×cbrt-undiv
4×associate-*r/ pow-prod-down
3×rec-exp 1-exp
2×*-commutative div-inv add-log-exp unswap-sqr
1×frac-times associate-*l/
Counts
2 → 77
Calls
2 calls:
6.0ms
(* (sin y) (/ x z))
12.0ms
(* (/ 1 y) (* (sin y) (/ x z)))

series26.0ms

Counts
2 → 6
Calls
2 calls:
12.0ms
(* (sin y) (/ x z))
14.0ms
(* (/ 1 y) (* (sin y) (/ x z)))

simplify48.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
04976711
14976711

prune59.0ms

Filtered
51 candidates to 83 candidates (-62.7%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New82183
Fresh134
Picked101
Done213
Total86591

Merged error: 0b

Counts
91 → 5

regimes246.0ms

Accuracy

65.5% (1.0b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 3.0b

bsearch488.0ms

Steps
ItersRangePoint
6
4.7145089157575914e-197
3.5222120111726634e-196
3.47399387577626e-196
9
-1.8073110836670173e-98
-4.809548272467074e-108
-1.2486964666857625e-98

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02125
12125

end0.0ms

analyze371.0ms

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
0%99.9%0.1%5
0%99.9%0.1%6
25%74.9%0.1%7
31.2%68.6%0.1%8
42.1%57.7%0.1%9
56.9%42.9%0.1%10
59.5%40.4%0.1%11
68.1%31.8%0.1%12
75.1%24.4%0.5%13
75.7%23.3%1%14

sample1.1s

Algorithm
intervals
Results
304.0ms994×body1280valid
265.0ms5307×body80valid
188.0ms933×body640valid
74.0ms523×body320valid
24.0ms243×body160valid
23.0ms477×body80invalid
10.0ms53×body640invalid
10.0ms69×body320invalid
5.0ms46×body160invalid
3.0ms10×body1280invalid

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