Details

Time bar (total: 8.0s)

sample2.3s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 92.382813%

Results
21.0ms46×body1280valid
14.0ms50×body640valid
8.0ms126×body80valid
7.0ms21×body320valid
2.0ms13×body160valid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0115
1115

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x (cos y)) (* z (sin y)))
0.1b
(* z (sin y))
0.1b
(* x (cos y))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
7×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
6×associate-*r* associate-*l*
5×add-log-exp
2×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×+-commutative flip3-+ sum-log flip-+
Counts
3 → 47
Calls
3 calls:
4.0ms
(+ (* x (cos y)) (* z (sin y)))
4.0ms
(* z (sin y))
4.0ms
(* x (cos y))

series28.0ms

Counts
3 → 9
Calls
3 calls:
15.0ms
(+ (* x (cos y)) (* z (sin y)))
7.0ms
(* z (sin y))
6.0ms
(* x (cos y))

simplify71.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0183248
1698227
22213227
35001227

prune92.0ms

Filtered
39 candidates to 56 candidates (-43.6%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New47956
Fresh000
Picked101
Done000
Total48957

Merged error: 0.0b

Counts
57 → 9

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (cbrt (cos y)) (cbrt (cos y)))
0.3b
(cbrt (cos y))
0.3b
(cbrt (cos y))
0.3b
(cbrt (cos 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 (cos y)) (cbrt (cos y)))
1.0ms
(cbrt (cos y))
1.0ms
(cbrt (cos y))
1.0ms
(cbrt (cos y))

series79.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(* (cbrt (cos y)) (cbrt (cos y)))
17.0ms
(cbrt (cos y))
19.0ms
(cbrt (cos y))
17.0ms
(cbrt (cos y))

simplify109.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (103.0ms)

IterNodesCost
0125433
1507381
23337357
35001351

prune116.0ms

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

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New82385
Fresh178
Picked011
Done000
Total831194

Merged error: 0.0b

Counts
94 → 11

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b
(* z (sin y))
0.2b
(* (* x (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
0.3b
(pow (cos y) 2)
0.3b
(cbrt (cos y))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
22×add-exp-log
13×add-sqr-sqrt
12×prod-exp
11×add-cube-cbrt *-un-lft-identity
10×add-cbrt-cube
9×pow1 associate-*r*
6×cbrt-prod cbrt-unprod
5×pow-exp
4×associate-*l* add-log-exp
3×pow-to-exp unpow-prod-down pow-unpow
2×pow-prod-down *-commutative
1×pow-pow unpow1/3 pow1/3 unpow2 unswap-sqr sqr-pow
Counts
4 → 72
Calls
4 calls:
4.0ms
(* z (sin y))
9.0ms
(* (* x (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
2.0ms
(pow (cos y) 2)
1.0ms
(cbrt (cos y))

series36.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(* z (sin y))
7.0ms
(* (* x (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
3.0ms
(pow (cos y) 2)
20.0ms
(cbrt (cos y))

simplify44.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0297419
11306364
25002350

prune136.0ms

Filtered
52 candidates to 84 candidates (-61.5%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New81384
Fresh279
Picked011
Done101
Total841195

Merged error: 0.0b

Counts
95 → 11

localize22.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (cos y))
0.3b
(cbrt (cos y))
0.3b
(cbrt (cos y))
0.3b
(cbrt (cbrt (cos y)))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-prod
9×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 47
Calls
4 calls:
3.0ms
(cbrt (cos y))
1.0ms
(cbrt (cos y))
1.0ms
(cbrt (cos y))
2.0ms
(cbrt (cbrt (cos y)))

series69.0ms

Counts
4 → 12
Calls
4 calls:
17.0ms
(cbrt (cos y))
17.0ms
(cbrt (cos y))
17.0ms
(cbrt (cos y))
18.0ms
(cbrt (cbrt (cos y)))

simplify214.0ms

Algorithm
egg-herbie
Counts
59 → 59
Iterations

Useful iterations: 2 (8.0ms)

IterNodesCost
083266
1228244
2751236
34296236
45001236

prune86.0ms

Filtered
46 candidates to 59 candidates (-28.3%)
Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New59059
Fresh099
Picked011
Done011
Total591170

Merged error: 0.0b

Counts
70 → 11

regimes247.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01810
11810

end0.0ms

sample4.2s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 92.382813%

Results
702.0ms1527×body1280valid
360.0ms1260×body640valid
310.0ms4265×body80valid
125.0ms628×body320valid
45.0ms320×body160valid

Profiling

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