Details

Time bar (total: 4.5s)

analyze555.0ms

Algorithm
search
sampling

Space saved by range analysis: 0.146413%

Space saved by search: 0.146413%

Guaranteed chance to sample good point: 92.382813%

sample55.0ms

Algorithm
intervals
Results
20.0ms45×body1280valid
10.0ms147×body80valid
8.0ms28×body640valid
4.0ms20×body320valid
2.0ms16×body160valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0115
1115

prune7.0ms

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

rewrite14.0ms

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
(* x (cos y))
5.0ms
(* z (sin y))

series31.0ms

Counts
3 → 9
Calls
3 calls:
16.0ms
(+ (* x (cos y)) (* z (sin y)))
7.0ms
(* x (cos y))
8.0ms
(* z (sin y))

simplify77.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0183248
1698227
22213227
35001227

prune107.0ms

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

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New431356
Fresh000
Picked101
Done000
Total441357

Merged error: 0.0b

Counts
57 → 13

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (cbrt (cos y)) (cbrt (cos y)))
0.3b
(cbrt (cos y))
0.3b
(cbrt (cos y))
0.3b
(cbrt (cos y))

rewrite13.0ms

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))
2.0ms
(cbrt (cos y))

series85.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(* (cbrt (cos y)) (cbrt (cos y)))
18.0ms
(cbrt (cos y))
20.0ms
(cbrt (cos y))
19.0ms
(cbrt (cos y))

simplify115.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (108.0ms)

IterNodesCost
0125433
1507381
23337357
35001351

prune120.0ms

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

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New84185
Fresh21012
Picked011
Done000
Total861298

Merged error: 0.0b

Counts
98 → 12

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* x (cbrt (pow (cos y) 2))) (cbrt (cos y)))
0.3b
(pow (cos y) 2)
0.3b
(cbrt (pow (cos y) 2))
0.3b
(cbrt (cos y))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
14×cbrt-prod
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
10×pow1 add-exp-log
6×unpow-prod-down associate-*r* add-cbrt-cube
4×add-log-exp
3×pow-unpow pow-prod-down prod-exp cbrt-unprod
2×pow1/3 unpow2 sqr-pow
1×pow-to-exp pow-pow associate-*l* pow-exp *-commutative
Counts
4 → 66
Calls
4 calls:
9.0ms
(* (* x (cbrt (pow (cos y) 2))) (cbrt (cos y)))
2.0ms
(pow (cos y) 2)
2.0ms
(cbrt (pow (cos y) 2))
2.0ms
(cbrt (cos y))

series57.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(* (* x (cbrt (pow (cos y) 2))) (cbrt (cos y)))
3.0ms
(pow (cos y) 2)
27.0ms
(cbrt (pow (cos y) 2))
20.0ms
(cbrt (cos y))

simplify43.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0236416
11087359
25001345

prune134.0ms

Filtered
51 candidates to 78 candidates (-52.9%)
Pruning

13 alts after pruning (11 fresh and 2 done)

PrunedKeptTotal
New77178
Fresh01010
Picked011
Done011
Total771390

Merged error: 0.0b

Counts
90 → 13

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
30×cbrt-prod
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 53
Calls
4 calls:
3.0ms
(cbrt (cos y))
2.0ms
(cbrt (cbrt (cos y)))
2.0ms
(cbrt (cbrt (cos y)))
2.0ms
(cbrt (cbrt (cos y)))

series74.0ms

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

simplify221.0ms

Algorithm
egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 2 (11.0ms)

IterNodesCost
083342
1228316
2751308
34296308
45001308

prune93.0ms

Filtered
52 candidates to 65 candidates (-25.0%)
Pruning

14 alts after pruning (11 fresh and 3 done)

PrunedKeptTotal
New64165
Fresh01010
Picked011
Done022
Total641478

Merged error: 0.0b

Counts
78 → 14

regimes283.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01710
11710

end0.0ms

analyze552.0ms

Algorithm
search
sampling

Space saved by range analysis: 0.146413%

Space saved by search: 0.146413%

Guaranteed chance to sample good point: 92.382813%

sample1.8s

Algorithm
intervals
Results
717.0ms1523×body1280valid
366.0ms1272×body640valid
288.0ms4252×body80valid
127.0ms612×body320valid
47.0ms341×body160valid

Profiling

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