Details

Time bar (total: 2.9s)

sample31.0ms

Algorithm
intervals
Results
7.0ms26×body1280valid
7.0ms175×body80valid
6.0ms30×body640valid
2.0ms18×body320valid
1.0ms7×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

localize5.0ms

Local error

Found 2 expressions with local error:

0.1b
(* x (/ (sin y) y))
0.1b
(/ (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:
6.0ms
(* x (/ (sin y) y))
4.0ms
(/ (sin y) y)

series88.0ms

Counts
2 → 6
Calls
2 calls:
56.0ms
(* x (/ (sin y) y))
32.0ms
(/ (sin y) y)

simplify38.0ms

Algorithm
egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0213320
1988289
25001289

prune119.0ms

Filtered
65 candidates to 48 candidates (73.8%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New58765
Fresh000
Picked101
Done000
Total59766

Merged error: 0b

Counts
66 → 7

localize6.0ms

Local error

Found 3 expressions with local error:

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

rewrite32.0ms

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:
15.0ms
(* x (/ 1 (/ y (sin y))))
6.0ms
(/ 1 (/ y (sin y)))
3.0ms
(/ y (sin y))

series106.0ms

Counts
3 → 9
Calls
3 calls:
53.0ms
(* x (/ 1 (/ y (sin y))))
30.0ms
(/ 1 (/ y (sin y)))
23.0ms
(/ y (sin y))

simplify71.0ms

Algorithm
egg-herbie
Counts
185 → 185
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
05671202
128851044
25001923

prune238.0ms

Filtered
185 candidates to 113 candidates (61.1%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1832185
Fresh336
Picked011
Done000
Total1866192

Merged error: 0b

Counts
192 → 6

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite16.0ms

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:
8.0ms
(/ x (/ y (sin y)))
4.0ms
(/ y (sin y))

series79.0ms

Counts
2 → 6
Calls
2 calls:
57.0ms
(/ x (/ y (sin y)))
23.0ms
(/ y (sin y))

simplify45.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0365711
11625675
25002674

prune172.0ms

Filtered
103 candidates to 84 candidates (81.6%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1030103
Fresh044
Picked011
Done011
Total1036109

Merged error: 0b

Counts
109 → 6

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* x (/ (sin y) y))) (cbrt (* x (/ (sin y) y))))
8.2b
(cbrt (* x (/ (sin y) y)))
8.2b
(cbrt (* x (/ (sin y) y)))
8.2b
(cbrt (* x (/ (sin y) y)))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
11×pow1
10×add-sqr-sqrt
9×pow1/3
8×add-cube-cbrt *-un-lft-identity associate-*r/
7×cbrt-prod cbrt-div
6×add-exp-log
4×swap-sqr associate-*r* associate-*l* add-cbrt-cube add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*l/ prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 64
Calls
4 calls:
5.0ms
(* (cbrt (* x (/ (sin y) y))) (cbrt (* x (/ (sin y) y))))
4.0ms
(cbrt (* x (/ (sin y) y)))
4.0ms
(cbrt (* x (/ (sin y) y)))
4.0ms
(cbrt (* x (/ (sin y) y)))

series530.0ms

Counts
4 → 12
Calls
4 calls:
158.0ms
(* (cbrt (* x (/ (sin y) y))) (cbrt (* x (/ (sin y) y))))
123.0ms
(cbrt (* x (/ (sin y) y)))
126.0ms
(cbrt (* x (/ (sin y) y)))
123.0ms
(cbrt (* x (/ (sin y) y)))

simplify134.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 3 (128.0ms)

IterNodesCost
0206566
1815501
24530454
35001441

prune157.0ms

Filtered
76 candidates to 61 candidates (80.3%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New76076
Fresh033
Picked011
Done022
Total76682

Merged error: 0b

Counts
82 → 6

regimes120.0ms

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
053

end0.0ms

sample880.0ms

Algorithm
intervals
Results
245.0ms963×body1280valid
223.0ms5243×body80valid
162.0ms943×body640valid
67.0ms559×body320valid
25.0ms292×body160valid

Profiling

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