Details

Time bar (total: 3.3s)

sample67.0ms

Algorithm
intervals
Results
28.0ms54×body1280valid
11.0ms40×body640valid
8.0ms131×body80valid
4.0ms16×body320valid
2.0ms15×body160valid

simplify3.0ms

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

localize10.0ms

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))

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
(* x (cos y))
4.0ms
(* z (sin y))

series30.0ms

Counts
3 → 9
Calls
3 calls:
15.0ms
(+ (* x (cos y)) (* z (sin y)))
7.0ms
(* x (cos y))
8.0ms
(* z (sin y))

simplify70.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0183248
1698227
22213227
35001227

prune99.0ms

Filtered
56 candidates to 39 candidates (30.4%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New451156
Fresh000
Picked101
Done000
Total461157

Merged error: 0.0b

Counts
57 → 11

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))

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 (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:
25.0ms
(* (cbrt (cos y)) (cbrt (cos y)))
17.0ms
(cbrt (cos y))
17.0ms
(cbrt (cos y))
19.0ms
(cbrt (cos y))

simplify108.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (103.0ms)

IterNodesCost
0125433
1507381
23337357
35001351

prune128.0ms

Filtered
85 candidates to 60 candidates (29.4%)
Pruning

14 alts after pruning (13 fresh and 1 done)

PrunedKeptTotal
New82385
Fresh01010
Picked011
Done000
Total821496

Merged error: 0.0b

Counts
96 → 14

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
16×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 45
Calls
4 calls:
1.0ms
(cbrt (cos y))
1.0ms
(cbrt (cos y))
2.0ms
(cbrt (cbrt (cos y)))
4.0ms
(cbrt (* (cbrt (cos y)) (cbrt (cos y))))

series73.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(cbrt (cos y))
17.0ms
(cbrt (cos y))
17.0ms
(cbrt (cbrt (cos y)))
21.0ms
(cbrt (* (cbrt (cos y)) (cbrt (cos y))))

simplify44.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 2 (10.0ms)

IterNodesCost
0109297
1287267
2925256
35002256

prune111.0ms

Filtered
57 candidates to 46 candidates (19.3%)
Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New56157
Fresh11112
Picked101
Done011
Total581371

Merged error: 0.0b

Counts
71 → 13

localize23.0ms

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)))

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

series67.0ms

Counts
4 → 12
Calls
4 calls:
17.0ms
(cbrt (cos y))
17.0ms
(cbrt (cos y))
16.0ms
(cbrt (cos y))
17.0ms
(cbrt (cbrt (cos y)))

simplify213.0ms

Algorithm
egg-herbie
Counts
59 → 59
Iterations

Useful iterations: 2 (9.0ms)

IterNodesCost
083266
1228244
2751236
34296236
45001236

prune84.0ms

Filtered
59 candidates to 46 candidates (22.0%)
Pruning

13 alts after pruning (11 fresh and 2 done)

PrunedKeptTotal
New59059
Fresh01111
Picked011
Done011
Total591372

Merged error: 0.0b

Counts
72 → 13

regimes272.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02217
12217

end0.0ms

sample1.8s

Algorithm
intervals
Results
690.0ms1547×body1280valid
337.0ms1166×body640valid
265.0ms4358×body80valid
119.0ms606×body320valid
43.0ms323×body160valid

Profiling

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