Details

Time bar (total: 3.3s)

sample604.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 98.059082%

Results
8.0ms172×body80valid
8.0ms29×body1280valid
6.0ms31×body640valid
2.0ms17×body320valid
1.0ms7×body160valid

simplify6.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
083
1123
2163
3173
4173

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.2b

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)

series15.0ms

Counts
2 → 6
Calls
2 calls:
11.0ms
(* x (/ (sin y) y))
4.0ms
(/ (sin y) y)

simplify34.0ms

Algorithm
egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0213320
1988289
25001289

prune88.0ms

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

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New57865
Fresh000
Picked011
Done000
Total57966

Merged error: 0b

Counts
66 → 9

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b
(* x (* (sin y) (/ 1 y)))
0.3b
(* (sin y) (/ 1 y))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
26×add-exp-log
18×add-sqr-sqrt
16×add-cbrt-cube
14×associate-*r*
13×prod-exp
12×*-un-lft-identity
11×add-cube-cbrt times-frac
9×pow1
7×cbrt-unprod
6×associate-*l*
4×associate-*r/ div-exp pow-prod-down
3×unswap-sqr
2×cbrt-undiv rec-exp 1-exp un-div-inv *-commutative add-log-exp
1×div-inv
Counts
2 → 60
Calls
2 calls:
7.0ms
(* x (* (sin y) (/ 1 y)))
8.0ms
(* (sin y) (/ 1 y))

series14.0ms

Counts
2 → 6
Calls
2 calls:
10.0ms
(* x (* (sin y) (/ 1 y)))
4.0ms
(* (sin y) (/ 1 y))

simplify38.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0282337
11251269
25001252

prune69.0ms

Filtered
41 candidates to 66 candidates (-61.0%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New66066
Fresh077
Picked011
Done011
Total66975

Merged error: 0b

Counts
75 → 9

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.7b
(cbrt (sin y))
0.7b
(cbrt (sin y))
0.7b
(cbrt (sin y))

rewrite8.0ms

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)
3.0ms
(cbrt (sin y))
1.0ms
(cbrt (sin y))
2.0ms
(cbrt (sin y))

series76.0ms

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

simplify41.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 3 (36.0ms)

IterNodesCost
0108276
1256257
2874229
35001192

prune69.0ms

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

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New56056
Fresh066
Picked011
Done022
Total56965

Merged error: 0b

Counts
65 → 9

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* x (/ (sin y) y))) (cbrt (* x (/ (sin y) y))))
8.3b
(cbrt (* x (/ (sin y) y)))
8.3b
(cbrt (* x (/ (sin y) y)))
8.3b
(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)))

series113.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(* (cbrt (* x (/ (sin y) y))) (cbrt (* x (/ (sin y) y))))
26.0ms
(cbrt (* x (/ (sin y) y)))
24.0ms
(cbrt (* x (/ (sin y) y)))
25.0ms
(cbrt (* x (/ (sin y) y)))

simplify112.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 3 (105.0ms)

IterNodesCost
0214601
1742536
23904487
35001474

prune75.0ms

Filtered
61 candidates to 76 candidates (-24.6%)
Pruning

9 alts after pruning (5 fresh and 4 done)

PrunedKeptTotal
New76076
Fresh055
Picked011
Done033
Total76985

Merged error: 0b

Counts
85 → 9

regimes221.0ms

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

sample1.6s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 98.059082%

Results
266.0ms957×body1280valid
237.0ms5222×body80valid
165.0ms948×body640valid
77.0ms572×body320valid
27.0ms301×body160valid

Profiling

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