Details

Time bar (total: 5.7s)

sample64.0ms

Algorithm
intervals
Results
24.0ms53×body1280valid
10.0ms36×body640valid
9.0ms140×body80valid
3.0ms15×body320valid
2.0ms12×body160valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0115
1115

prune5.0ms

Filtered
1 candidates to 0 candidates (0.0%)
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 2 expressions with local error:

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

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
6×pow1 add-exp-log add-cube-cbrt *-un-lft-identity associate-*r* associate-*l* add-cbrt-cube
2×pow-prod-down prod-exp *-commutative cbrt-unprod add-log-exp unswap-sqr
Counts
2 → 36
Calls
2 calls:
4.0ms
(* z (cos y))
5.0ms
(* x (sin y))

series87.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(* z (cos y))
49.0ms
(* x (sin y))

simplify110.0ms

Algorithm
egg-herbie
Counts
42 → 42
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0118145
1439125
21037125
31579125
43660125
55002125

prune203.0ms

Filtered
42 candidates to 28 candidates (66.7%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New311142
Fresh000
Picked101
Done000
Total321143

Merged error: 0.0b

Counts
43 → 11

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))

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

series524.0ms

Counts
4 → 12
Calls
4 calls:
183.0ms
(* (cbrt (cos y)) (cbrt (cos y)))
120.0ms
(cbrt (cos y))
109.0ms
(cbrt (cos y))
111.0ms
(cbrt (cos y))

simplify117.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (110.0ms)

IterNodesCost
0122441
1481389
23180357
35001351

prune400.0ms

Filtered
85 candidates to 60 candidates (70.6%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New83285
Fresh2810
Picked101
Done000
Total861096

Merged error: 0.0b

Counts
96 → 10

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
23×cbrt-prod
21×add-sqr-sqrt
13×add-cube-cbrt *-un-lft-identity
11×associate-*r*
10×unpow-prod-down
7×pow1 add-exp-log
5×add-cbrt-cube unswap-sqr
4×unpow2 add-log-exp sqr-pow
3×pow-unpow associate-*l*
2×pow1/3
1×pow-to-exp pow-pow pow-prod-down pow-exp prod-exp *-commutative cbrt-unprod
Counts
4 → 75
Calls
4 calls:
7.0ms
(* z (cbrt (pow (cos y) 2)))
2.0ms
(pow (cos y) 2)
2.0ms
(cbrt (pow (cos y) 2))
2.0ms
(cbrt (cos y))

series419.0ms

Counts
4 → 12
Calls
4 calls:
106.0ms
(* z (cbrt (pow (cos y) 2)))
19.0ms
(pow (cos y) 2)
180.0ms
(cbrt (pow (cos y) 2))
113.0ms
(cbrt (cos y))

simplify134.0ms

Algorithm
egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 3 (127.0ms)

IterNodesCost
0217421
1787376
23497361
35002360

prune409.0ms

Filtered
87 candidates to 60 candidates (69.0%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New86187
Fresh189
Picked011
Done000
Total871097

Merged error: 0.0b

Counts
97 → 10

localize21.0ms

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))
2.0ms
(cbrt (cos y))

series457.0ms

Counts
4 → 12
Calls
4 calls:
113.0ms
(cbrt (cbrt (cos y)))
113.0ms
(cbrt (cos y))
111.0ms
(cbrt (cos y))
119.0ms
(cbrt (cos y))

simplify185.0ms

Algorithm
egg-herbie
Counts
59 → 59
Iterations

Useful iterations: 4 (180.0ms)

IterNodesCost
077272
1207250
2663242
33549242
45001236

prune328.0ms

Filtered
59 candidates to 46 candidates (78.0%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New59059
Fresh088
Picked011
Done011
Total591069

Merged error: 0.0b

Counts
69 → 10

regimes279.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01710
11710

end0.0ms

sample1.9s

Algorithm
intervals
Results
690.0ms1468×body1280valid
357.0ms1259×body640valid
284.0ms4312×body80valid
135.0ms644×body320valid
45.0ms317×body160valid

Profiling

Loading profile data...