Details

Time bar (total: 5.4s)

sample57.0ms

Algorithm
intervals
Results
18.0ms44×body1280valid
11.0ms42×body640valid
8.0ms141×body80valid
4.0ms22×body320valid
1.0ms7×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

localize14.0ms

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))

rewrite13.0ms

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))

series167.0ms

Counts
3 → 9
Calls
3 calls:
76.0ms
(+ (* x (cos y)) (* z (sin y)))
46.0ms
(* x (cos y))
44.0ms
(* z (sin y))

simplify70.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0183248
1698227
22213227
35001227

prune158.0ms

Filtered
56 candidates to 39 candidates (30.4%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New47956
Fresh000
Picked101
Done000
Total48957

Merged error: 0.0b

Counts
57 → 9

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))

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:
5.0ms
(* (cbrt (cos y)) (cbrt (cos y)))
3.0ms
(cbrt (cos y))
1.0ms
(cbrt (cos y))
1.0ms
(cbrt (cos y))

series509.0ms

Counts
4 → 12
Calls
4 calls:
173.0ms
(* (cbrt (cos y)) (cbrt (cos y)))
111.0ms
(cbrt (cos y))
113.0ms
(cbrt (cos y))
112.0ms
(cbrt (cos y))

simplify103.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (97.0ms)

IterNodesCost
0122441
1481389
23180357
35001351

prune379.0ms

Filtered
85 candidates to 60 candidates (29.4%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New84185
Fresh088
Picked011
Done000
Total841094

Merged error: 0.0b

Counts
94 → 10

localize16.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (cos y))
0.3b
(cbrt (cos y))
0.3b
(cbrt (cos y))
0.5b
(pow (cbrt (cbrt (cos y))) 5)

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-prod
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×unpow-prod-down
5×pow1 add-exp-log
4×pow1/3 add-cbrt-cube add-log-exp
3×pow-unpow
2×pow-pow
1×pow-to-exp pow-exp sqr-pow
Counts
4 → 57
Calls
4 calls:
2.0ms
(cbrt (cos y))
1.0ms
(cbrt (cos y))
1.0ms
(cbrt (cos y))
4.0ms
(pow (cbrt (cbrt (cos y))) 5)

series495.0ms

Counts
4 → 12
Calls
4 calls:
114.0ms
(cbrt (cos y))
111.0ms
(cbrt (cos y))
113.0ms
(cbrt (cos y))
157.0ms
(pow (cbrt (cbrt (cos y))) 5)

simplify64.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 3 (59.0ms)

IterNodesCost
0146353
1462325
21525319
35001311

prune403.0ms

Filtered
69 candidates to 52 candidates (24.6%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New69069
Fresh088
Picked011
Done011
Total691079

Merged error: 0.0b

Counts
79 → 10

localize13.0ms

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))

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 (sin y)) (cbrt (sin y)))
1.0ms
(cbrt (sin y))
1.0ms
(cbrt (sin y))
1.0ms
(cbrt (sin y))

series467.0ms

Counts
4 → 12
Calls
4 calls:
131.0ms
(* (cbrt (sin y)) (cbrt (sin y)))
111.0ms
(cbrt (sin y))
111.0ms
(cbrt (sin y))
114.0ms
(cbrt (sin y))

simplify94.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (88.0ms)

IterNodesCost
0154453
1551401
23082369
35002363

prune360.0ms

Filtered
85 candidates to 60 candidates (29.4%)
Pruning

12 alts after pruning (9 fresh and 3 done)

PrunedKeptTotal
New83285
Fresh077
Picked011
Done022
Total831295

Merged error: 0.0b

Counts
95 → 12

regimes279.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01512
11512

end0.0ms

sample1.7s

Algorithm
intervals
Results
647.0ms1502×body1280valid
328.0ms1237×body640valid
261.0ms4293×body80valid
118.0ms660×body320valid
39.0ms308×body160valid

Profiling

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