Details

Time bar (total: 2.9s)

sample187.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0.097632%

Space saved by search: 0.097632%

Guaranteed chance to sample good point: 0%

Results
10.0ms38×body1280valid
7.0ms163×body80valid
6.0ms33×body640valid
2.0ms15×body320valid
1.0ms7×body160valid

simplify6.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
083
1123
2163
3173
4173

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.2b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite11.0ms

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

series15.0ms

Counts
2 → 6
Calls
2 calls:
11.0ms
(* x (/ (sin y) y))
5.0ms
(/ (sin y) y)

simplify31.0ms

Algorithm
egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0213320
1988289
25001289

prune85.0ms

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: 0.0b

Counts
66 → 8

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))

rewrite24.0ms

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:
11.0ms
(* (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))

series97.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y)))
22.0ms
(cbrt (/ (sin y) y))
24.0ms
(cbrt (/ (sin y) y))
22.0ms
(cbrt (/ (sin y) y))

simplify45.0ms

Algorithm
egg-herbie
Counts
156 → 156
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
03001399
110621348
250011289

prune157.0ms

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

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New1551156
Fresh066
Picked011
Done011
Total1559164

Merged error: 0.0b

Counts
164 → 9

localize214.0ms

Local error

Found 4 expressions with local error:

0.4b
(cbrt (cbrt (/ (sin y) y)))
0.4b
(cbrt (cbrt (/ (sin y) y)))
0.4b
(cbrt (* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y))))
0.4b
(cbrt (* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y))))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
60×cbrt-prod
20×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
18×cbrt-div times-frac
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
2×frac-times associate-*r/ associate-*l/ div-inv
Counts
4 → 74
Calls
4 calls:
3.0ms
(cbrt (cbrt (/ (sin y) y)))
3.0ms
(cbrt (cbrt (/ (sin y) y)))
7.0ms
(cbrt (* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y))))
7.0ms
(cbrt (* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y))))

series137.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(cbrt (cbrt (/ (sin y) y)))
29.0ms
(cbrt (cbrt (/ (sin y) y)))
41.0ms
(cbrt (* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y))))
39.0ms
(cbrt (* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y))))

simplify68.0ms

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 3 (58.0ms)

IterNodesCost
0238810
1566758
22243730
35002718

prune114.0ms

Filtered
74 candidates to 86 candidates (-16.2%)
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New86086
Fresh066
Picked011
Done022
Total86995

Merged error: 0.0b

Counts
95 → 9

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))

rewrite11.0ms

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))
1.0ms
(cbrt (sin y))

series76.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(* (cbrt (sin y)) (cbrt (sin y)))
19.0ms
(cbrt (sin y))
17.0ms
(cbrt (sin y))
17.0ms
(cbrt (sin y))

simplify121.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (114.0ms)

IterNodesCost
0161512
1596460
23671403
35002397

prune76.0ms

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

9 alts after pruning (5 fresh and 4 done)

PrunedKeptTotal
New85085
Fresh055
Picked011
Done033
Total85994

Merged error: 0.0b

Counts
94 → 9

regimes211.0ms

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

sample1.1s

Algorithm
intervals
sampling

Space saved by range analysis: 0.097632%

Space saved by search: 0.097632%

Guaranteed chance to sample good point: 0%

Results
274.0ms971×body1280valid
240.0ms5130×body80valid
192.0ms1041×body640valid
78.0ms568×body320valid
31.0ms290×body160valid

Profiling

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