Details

Time bar (total: 4.5s)

sample59.0ms

Algorithm
intervals
Results
23.0ms53×body1280valid
11.0ms41×body640valid
8.0ms125×body80valid
4.0ms23×body320valid
2.0ms14×body160valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0115
1115

prune3.0ms

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 3 expressions with local error:

0.0b
(+ (* x (cos y)) (* z (sin y)))
0.1b
(* z (sin y))
0.1b
(* x (cos y))

rewrite18.0ms

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
(* z (sin y))
8.0ms
(* x (cos y))

series144.0ms

Counts
3 → 9
Calls
3 calls:
71.0ms
(+ (* x (cos y)) (* z (sin y)))
37.0ms
(* z (sin y))
36.0ms
(* x (cos y))

simplify72.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0183248
1698227
22213227
35001227

prune151.0ms

Filtered
56 candidates to 39 candidates (69.6%)
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:

0.3b
(* (cbrt (cos y)) (cbrt (cos y)))
0.3b
(cbrt (cos y))
0.3b
(cbrt (cos y))
0.3b
(cbrt (cos 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 (cos y)) (cbrt (cos y)))
2.0ms
(cbrt (cos y))
1.0ms
(cbrt (cos y))
1.0ms
(cbrt (cos y))

series460.0ms

Counts
4 → 12
Calls
4 calls:
163.0ms
(* (cbrt (cos y)) (cbrt (cos y)))
99.0ms
(cbrt (cos y))
98.0ms
(cbrt (cos y))
100.0ms
(cbrt (cos y))

simplify107.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (96.0ms)

IterNodesCost
0122441
1481389
23180357
35001351

prune231.0ms

Filtered
85 candidates to 60 candidates (70.6%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New84185
Fresh01010
Picked101
Done000
Total851196

Merged error: 0.0b

Counts
96 → 11

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
28×add-exp-log
22×add-sqr-sqrt
19×unpow-prod-down
18×associate-*r*
16×prod-exp
13×add-cube-cbrt *-un-lft-identity
11×add-cbrt-cube
9×pow-exp
7×pow1 cbrt-unprod
6×cbrt-prod unswap-sqr
5×pow-to-exp sqr-pow
4×associate-*l* add-log-exp
3×pow-unpow unpow2
2×unpow1/3 *-commutative
1×pow-pow pow1/3 pow-prod-down
Counts
4 → 90
Calls
4 calls:
8.0ms
(* x (pow (pow (cos y) 2) 1/3))
9.0ms
(* (* x (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
3.0ms
(pow (cos y) 2)
1.0ms
(cbrt (cos y))

series252.0ms

Counts
4 → 12
Calls
4 calls:
95.0ms
(* x (pow (pow (cos y) 2) 1/3))
36.0ms
(* (* x (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
23.0ms
(pow (cos y) 2)
98.0ms
(cbrt (cos y))

simplify48.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0320572
11417499
25002468

prune275.0ms

Filtered
102 candidates to 62 candidates (60.8%)
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New1002102
Fresh01010
Picked101
Done000
Total10112113

Merged error: 0.0b

Counts
113 → 12

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* x (pow (pow (cos y) 2) 1/3)) (log (exp (cbrt (cos y)))))
0.2b
(log (exp (cbrt (cos y))))
0.2b
(pow (cos y) 2)
0.3b
(cbrt (cos y))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
20×add-exp-log
15×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
14×log-pow
12×exp-prod
11×prod-exp add-cbrt-cube
10×associate-*r*
9×pow1 cbrt-prod log-prod
5×pow-exp cbrt-unprod
4×add-log-exp
3×distribute-rgt-in pow-to-exp unpow-prod-down pow-unpow distribute-lft-in
1×pow-pow unpow1/3 pow1/3 rem-log-exp associate-*l* pow-prod-down *-commutative unpow2 sqr-pow
Counts
4 → 82
Calls
4 calls:
10.0ms
(* (* x (pow (pow (cos y) 2) 1/3)) (log (exp (cbrt (cos y)))))
2.0ms
(log (exp (cbrt (cos y))))
3.0ms
(pow (cos y) 2)
1.0ms
(cbrt (cos y))

series440.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(* (* x (pow (pow (cos y) 2) 1/3)) (log (exp (cbrt (cos y)))))
98.0ms
(log (exp (cbrt (cos y))))
16.0ms
(pow (cos y) 2)
288.0ms
(cbrt (cos y))

simplify52.0ms

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0304645
11290531
25002506

prune258.0ms

Filtered
94 candidates to 62 candidates (66.0%)
Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New94094
Fresh01111
Picked011
Done000
Total9412106

Merged error: 0.0b

Counts
106 → 12

regimes150.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02012
12012

end0.0ms

sample1.7s

Algorithm
intervals
Results
692.0ms1554×body1280valid
340.0ms1206×body640valid
256.0ms4268×body80valid
122.0ms646×body320valid
47.0ms326×body160valid