Details

Time bar (total: 2.3s)

sample36.0ms

Algorithm
intervals
Results
9.0ms35×body1280valid
6.0ms164×body80valid
6.0ms34×body640valid
2.0ms20×body320valid
0.0ms3×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
(/ (sin y) y)
0.1b
(* x (/ (sin y) y))

rewrite12.0ms

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:
4.0ms
(/ (sin y) y)
6.0ms
(* x (/ (sin y) y))

series16.0ms

Counts
2 → 6
Calls
2 calls:
4.0ms
(/ (sin y) y)
12.0ms
(* x (/ (sin y) y))

simplify31.0ms

Algorithm
egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0213320
1988289
25002289

prune75.0ms

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

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New59665
Fresh000
Picked011
Done000
Total59766

Merged error: 0b

Counts
66 → 7

localize9.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y)))
0.3b
(cbrt (/ (sin y) y))
0.3b
(cbrt (/ (sin y) y))
0.3b
(cbrt (/ (sin y) y))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
103×cbrt-prod
81×add-sqr-sqrt
69×times-frac
57×add-cube-cbrt *-un-lft-identity
16×swap-sqr associate-*r* associate-*l*
11×pow1
9×pow1/3 unswap-sqr
7×cbrt-div div-inv
6×add-exp-log
4×add-cbrt-cube add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*r/ associate-*l/ prod-exp *-commutative cbrt-unprod
Counts
4 → 144
Calls
4 calls:
12.0ms
(* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y)))
2.0ms
(cbrt (/ (sin y) y))
2.0ms
(cbrt (/ (sin y) y))
2.0ms
(cbrt (/ (sin y) y))

series101.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y)))
23.0ms
(cbrt (/ (sin y) y))
25.0ms
(cbrt (/ (sin y) y))
23.0ms
(cbrt (/ (sin y) y))

simplify43.0ms

Algorithm
egg-herbie
Counts
156 → 156
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
03001399
110621348
250011289

prune184.0ms

Filtered
126 candidates to 156 candidates (-23.8%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1560156
Fresh055
Picked011
Done011
Total1567163

Merged error: 0b

Counts
163 → 7

localize14.0ms

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))

series80.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(cbrt y)
19.0ms
(cbrt (sin y))
18.0ms
(cbrt (sin y))
21.0ms
(cbrt (sin y))

simplify39.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 3 (35.0ms)

IterNodesCost
0108276
1256257
2874229
35001192

prune63.0ms

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

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New56056
Fresh044
Picked011
Done022
Total56763

Merged error: 0b

Counts
63 → 7

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (sin y)) (cbrt (sin y)))
0.6b
(cbrt (sin y))
0.6b
(cbrt (sin y))
0.6b
(cbrt (sin y))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
6.0ms
(* (cbrt (sin y)) (cbrt (sin y)))
1.0ms
(cbrt (sin y))
3.0ms
(cbrt (sin y))
1.0ms
(cbrt (sin y))

series80.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(* (cbrt (sin y)) (cbrt (sin y)))
19.0ms
(cbrt (sin y))
19.0ms
(cbrt (sin y))
19.0ms
(cbrt (sin y))

simplify119.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (110.0ms)

IterNodesCost
0161512
1596460
23671403
35002397

prune87.0ms

Filtered
60 candidates to 85 candidates (-41.7%)
Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New85085
Fresh033
Picked011
Done033
Total85792

Merged error: 0b

Counts
92 → 7

regimes211.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
063
163

end0.0ms

sample999.0ms

Algorithm
intervals
Results
247.0ms931×body1280valid
220.0ms5160×body80valid
188.0ms1019×body640valid
81.0ms585×body320valid
27.0ms305×body160valid

Profiling

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