Details

Time bar (total: 5.3s)

sample61.0ms

Algorithm
intervals
Results
18.0ms44×body1280valid
11.0ms42×body640valid
8.0ms142×body80valid
4.0ms22×body320valid
1.0ms6×body160valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0115
1115

prune4.0ms

Filtered
1 candidates to 0 candidates (100.0%)
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 (sin y)) (* z (cos y)))
0.1b
(* z (cos y))
0.1b
(* x (sin 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 (sin y)) (* z (cos y)))
4.0ms
(* z (cos y))
4.0ms
(* x (sin y))

series373.0ms

Counts
3 → 9
Calls
3 calls:
87.0ms
(+ (* x (sin y)) (* z (cos y)))
241.0ms
(* z (cos y))
44.0ms
(* x (sin y))

simplify71.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0185250
1702229
22218229
35001229

prune155.0ms

Filtered
56 candidates to 40 candidates (28.6%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New48856
Fresh000
Picked101
Done000
Total49857

Merged error: 0.0b

Counts
57 → 8

localize13.0ms

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))

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:
5.0ms
(* (cbrt (cos y)) (cbrt (cos y)))
1.0ms
(cbrt (cos y))
1.0ms
(cbrt (cos y))
1.0ms
(cbrt (cos y))

series508.0ms

Counts
4 → 12
Calls
4 calls:
176.0ms
(* (cbrt (cos y)) (cbrt (cos y)))
111.0ms
(cbrt (cos y))
112.0ms
(cbrt (cos y))
109.0ms
(cbrt (cos y))

simplify103.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (98.0ms)

IterNodesCost
0122441
1481389
23180357
35001351

prune383.0ms

Filtered
85 candidates to 60 candidates (29.4%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New82385
Fresh077
Picked101
Done000
Total831093

Merged error: 0.0b

Counts
93 → 10

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
19×unpow-prod-down
15×add-exp-log associate-*r*
13×add-cube-cbrt *-un-lft-identity
9×add-cbrt-cube
7×pow1 unswap-sqr
6×associate-*l* prod-exp
5×pow-exp sqr-pow
4×add-log-exp
3×cbrt-prod pow-to-exp pow-unpow cbrt-unprod unpow2
2×*-commutative
1×pow-pow unpow1/3 pow1/3 pow-prod-down
Counts
4 → 83
Calls
4 calls:
7.0ms
(* z (pow (pow (cos y) 2) 1/3))
4.0ms
(* x (sin y))
2.0ms
(pow (cos y) 2)
1.0ms
(cbrt (cos y))

series286.0ms

Counts
4 → 12
Calls
4 calls:
108.0ms
(* z (pow (pow (cos y) 2) 1/3))
44.0ms
(* x (sin y))
22.0ms
(pow (cos y) 2)
111.0ms
(cbrt (cos y))

simplify38.0ms

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0303420
11123367
25002361

prune441.0ms

Filtered
95 candidates to 61 candidates (35.8%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New92395
Fresh369
Picked011
Done000
Total9510105

Merged error: 0.0b

Counts
105 → 10

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite7.0ms

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:
2.0ms
(cbrt (cbrt (cos y)))
1.0ms
(cbrt (cos y))
1.0ms
(cbrt (cos y))
1.0ms
(cbrt (cos y))

series446.0ms

Counts
4 → 12
Calls
4 calls:
115.0ms
(cbrt (cbrt (cos y)))
109.0ms
(cbrt (cos y))
112.0ms
(cbrt (cos y))
111.0ms
(cbrt (cos y))

simplify169.0ms

Algorithm
egg-herbie
Counts
59 → 59
Iterations

Useful iterations: 4 (165.0ms)

IterNodesCost
077272
1207250
2663242
33549242
45001236

prune244.0ms

Filtered
59 candidates to 46 candidates (22.0%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New59059
Fresh088
Picked011
Done011
Total591069

Merged error: 0.0b

Counts
69 → 10

regimes255.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01810
11810

end0.0ms

sample1.7s

Algorithm
intervals
Results
630.0ms1500×body1280valid
321.0ms1239×body640valid
238.0ms4290×body80valid
125.0ms660×body320valid
38.0ms311×body160valid

Profiling

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