Details

Time bar (total: 3.0s)

sample206.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 98.059082%

Results
14.0ms36×body1280valid
7.0ms171×body80valid
4.0ms22×body640valid
2.0ms19×body320valid
1.0ms8×body160valid

simplify7.0ms

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)

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:
10.0ms
(* x (/ (sin y) y))
4.0ms
(/ (sin y) y)

simplify30.0ms

Algorithm
egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0213320
1988289
25001289

prune307.0ms

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

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New58765
Fresh000
Picked011
Done000
Total58866

Merged error: 0b

Counts
66 → 8

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite58.0ms

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:
27.0ms
(* x (/ 1 (/ y (sin y))))
6.0ms
(/ y (sin y))
10.0ms
(/ 1 (/ y (sin y)))

series37.0ms

Counts
3 → 9
Calls
3 calls:
19.0ms
(* x (/ 1 (/ y (sin y))))
11.0ms
(/ y (sin y))
7.0ms
(/ 1 (/ y (sin y)))

simplify87.0ms

Algorithm
egg-herbie
Counts
185 → 185
Iterations

Useful iterations: 2 (66.0ms)

IterNodesCost
05671202
128851044
25001923

prune133.0ms

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

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1850185
Fresh066
Picked011
Done011
Total1858193

Merged error: 0b

Counts
193 → 8

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite12.0ms

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

series80.0ms

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

simplify118.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (111.0ms)

IterNodesCost
0161512
1596460
23671403
35002397

prune91.0ms

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

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New85085
Fresh055
Picked011
Done022
Total85893

Merged error: 0b

Counts
93 → 8

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* x (/ (sin y) y))) (cbrt (* x (/ (sin y) y))))
6.1b
(cbrt (* x (/ (sin y) y)))
6.1b
(cbrt (* x (/ (sin y) y)))
6.1b
(cbrt (* x (/ (sin y) y)))

rewrite18.0ms

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)))

series117.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(* (cbrt (* x (/ (sin y) y))) (cbrt (* x (/ (sin y) y))))
26.0ms
(cbrt (* x (/ (sin y) y)))
27.0ms
(cbrt (* x (/ (sin y) y)))
25.0ms
(cbrt (* x (/ (sin y) y)))

simplify108.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 3 (102.0ms)

IterNodesCost
0214601
1742536
23904487
35001474

prune105.0ms

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

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New76076
Fresh044
Picked011
Done033
Total76884

Merged error: 0b

Counts
84 → 8

regimes214.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
063
163

end0.0ms

sample1.2s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 98.059082%

Results
267.0ms930×body1280valid
239.0ms5255×body80valid
173.0ms959×body640valid
73.0ms541×body320valid
28.0ms315×body160valid

Profiling

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