Details

Time bar (total: 1.9s)

analyze83.0ms

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
50%50%0.1%5
56.2%43.7%0.1%6
74.9%25%0.1%7
76.5%23.4%0.1%8
84.3%15.6%0.1%9
86.2%13.7%0.1%10
91.3%8.6%0.1%11
92.6%7.3%0.1%12
95.4%4.5%0.1%13
96.1%3.8%0.1%14

sample33.0ms

Algorithm
intervals
Results
9.0ms35×body1280valid
7.0ms158×body80valid
5.0ms28×body640valid
3.0ms22×body320valid
1.0ms13×body160valid

simplify6.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
083
1123
2163
3173
4173

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt
19×times-frac
18×add-cube-cbrt *-un-lft-identity
13×associate-*r*
9×add-exp-log add-cbrt-cube
4×pow1
3×associate-*l* associate-/r* associate-/l*
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv add-log-exp unswap-sqr
1×frac-2neg associate-*r/ pow-prod-down clear-num *-commutative
Counts
2 → 59
Calls
2 calls:
6.0ms
(* x (/ (sin y) y))
4.0ms
(/ (sin y) y)

series15.0ms

Counts
2 → 6
Calls
2 calls:
10.0ms
(* x (/ (sin y) y))
4.0ms
(/ (sin y) y)

simplify31.0ms

Algorithm
egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0213320
1988289
25001289

prune89.0ms

Filtered
48 candidates to 65 candidates (-35.4%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New56965
Fresh000
Picked101
Done000
Total57966

Merged error: 0.0b

Counts
66 → 9

localize6.0ms

Local error

Found 3 expressions with local error:

0.1b
(* x (/ 1 (/ y (sin y))))
0.1b
(/ y (sin y))
0.1b
(/ 1 (/ y (sin y)))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
156×times-frac
103×add-sqr-sqrt
91×*-un-lft-identity
89×add-cube-cbrt
44×associate-*r*
35×add-exp-log
19×add-cbrt-cube
16×associate-/r*
15×div-exp
10×div-inv
7×cbrt-undiv prod-exp
6×pow1 associate-/l*
5×unswap-sqr
4×rec-exp 1-exp
3×associate-*l* cbrt-unprod add-log-exp
2×frac-2neg clear-num associate-/r/
1×pow-flip associate-*r/ pow-prod-down un-div-inv *-commutative inv-pow
Counts
3 → 176
Calls
3 calls:
17.0ms
(* x (/ 1 (/ y (sin y))))
3.0ms
(/ y (sin y))
6.0ms
(/ 1 (/ y (sin y)))

series19.0ms

Counts
3 → 9
Calls
3 calls:
10.0ms
(* x (/ 1 (/ y (sin y))))
5.0ms
(/ y (sin y))
4.0ms
(/ 1 (/ y (sin y)))

simplify66.0ms

Algorithm
egg-herbie
Counts
185 → 185
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
05671202
128851044
25001923

prune135.0ms

Filtered
112 candidates to 185 candidates (-65.2%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1841185
Fresh358
Picked011
Done000
Total1877194

Merged error: 0b

Counts
194 → 7

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt (sin y))
0.6b
(cbrt (sin y))
0.6b
(cbrt (sin y))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 44
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt (sin y))
1.0ms
(cbrt (sin y))
1.0ms
(cbrt (sin y))

series78.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(cbrt y)
18.0ms
(cbrt (sin y))
18.0ms
(cbrt (sin y))
18.0ms
(cbrt (sin y))

simplify40.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 3 (35.0ms)

IterNodesCost
0108276
1256257
2874229
35001192

prune66.0ms

Filtered
44 candidates to 56 candidates (-27.3%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New56056
Fresh055
Picked011
Done011
Total56763

Merged error: 0b

Counts
63 → 7

localize5.0ms

Local error

Found 2 expressions with local error:

0.1b
(* x (sin y))
7.0b
(/ (* x (sin y)) y)

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
9×add-exp-log add-cbrt-cube
8×add-sqr-sqrt
6×add-cube-cbrt *-un-lft-identity
4×pow1
3×times-frac associate-*r* associate-*l* associate-/r*
2×cbrt-undiv div-exp prod-exp cbrt-unprod add-log-exp
1×frac-2neg pow-prod-down clear-num *-commutative div-inv associate-/l* unswap-sqr
Counts
2 → 39
Calls
2 calls:
4.0ms
(* x (sin y))
4.0ms
(/ (* x (sin y)) y)

series16.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(* x (sin y))
10.0ms
(/ (* x (sin y)) y)

simplify26.0ms

Algorithm
egg-herbie
Counts
45 → 45
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0154189
1799158
25001158

prune35.0ms

Filtered
31 candidates to 45 candidates (-45.2%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New45045
Fresh044
Picked011
Done022
Total45752

Merged error: 0b

Counts
52 → 7

regimes136.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0104
1104

end0.0ms

analyze76.0ms

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
50%50%0.1%5
56.2%43.7%0.1%6
74.9%25%0.1%7
76.5%23.4%0.1%8
84.3%15.6%0.1%9
86.2%13.7%0.1%10
91.3%8.6%0.1%11
92.6%7.3%0.1%12
95.4%4.5%0.1%13
96.1%3.8%0.1%14

sample890.0ms

Algorithm
intervals
Results
242.0ms908×body1280valid
223.0ms5188×body80valid
178.0ms1006×body640valid
74.0ms613×body320valid
25.0ms285×body160valid

Profiling

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