Details

Time bar (total: 3.3s)

sample29.0ms

Algorithm
intervals
Results
7.0ms26×body1280valid
7.0ms183×body80valid
4.0ms23×body640valid
2.0ms19×body320valid
0.0ms5×body160valid

simplify7.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
083
1123
2163
3173
4173

prune2.0ms

Filtered
1 candidates to 0 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 → 1

localize6.0ms

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))

series84.0ms

Counts
2 → 6
Calls
2 calls:
26.0ms
(/ (sin y) y)
58.0ms
(* x (/ (sin y) y))

simplify34.0ms

Algorithm
egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0213320
1988289
25002289

prune120.0ms

Filtered
65 candidates to 48 candidates (73.8%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New59665
Fresh000
Picked011
Done000
Total59766

Merged error: 0.0b

Counts
66 → 7

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite35.0ms

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:
3.0ms
(/ y (sin y))
17.0ms
(* x (/ 1 (/ y (sin y))))
6.0ms
(/ 1 (/ y (sin y)))

series245.0ms

Counts
3 → 9
Calls
3 calls:
22.0ms
(/ y (sin y))
197.0ms
(* x (/ 1 (/ y (sin y))))
25.0ms
(/ 1 (/ y (sin y)))

simplify72.0ms

Algorithm
egg-herbie
Counts
185 → 185
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
05671202
128851044
25001923

prune253.0ms

Filtered
185 candidates to 112 candidates (60.5%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1832185
Fresh325
Picked011
Done011
Total1866192

Merged error: 0b

Counts
192 → 6

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
84×times-frac
52×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
16×associate-/r*
9×add-exp-log add-cbrt-cube
6×div-inv associate-/l*
4×cbrt-undiv div-exp
2×pow1 frac-2neg clear-num add-log-exp
1×associate-/r/
Counts
2 → 97
Calls
2 calls:
3.0ms
(/ y (sin y))
6.0ms
(/ x (/ y (sin y)))

series78.0ms

Counts
2 → 6
Calls
2 calls:
22.0ms
(/ y (sin y))
56.0ms
(/ x (/ y (sin y)))

simplify50.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0365711
11625675
25001674

prune173.0ms

Filtered
103 candidates to 82 candidates (79.6%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New1030103
Fresh033
Picked011
Done022
Total1036109

Merged error: 0b

Counts
109 → 6

localize10.0ms

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))

rewrite26.0ms

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))
3.0ms
(cbrt (/ (sin y) y))

series566.0ms

Counts
4 → 12
Calls
4 calls:
168.0ms
(* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y)))
131.0ms
(cbrt (/ (sin y) y))
132.0ms
(cbrt (/ (sin y) y))
135.0ms
(cbrt (/ (sin y) y))

simplify49.0ms

Algorithm
egg-herbie
Counts
156 → 156
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
02961415
19901364
250011289

prune361.0ms

Filtered
156 candidates to 126 candidates (80.8%)
Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New1560156
Fresh022
Picked011
Done033
Total1566162

Merged error: 0b

Counts
162 → 6

regimes85.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
063
163

end0.0ms

sample938.0ms

Algorithm
intervals
Results
274.0ms988×body1280valid
222.0ms5202×body80valid
180.0ms943×body640valid
81.0ms593×body320valid
25.0ms274×body160valid

Profiling

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