Details

Time bar (total: 2.6s)

sample66.0ms

Algorithm
intervals
Results
22.0ms30×body1280valid
13.0ms179×body80valid
8.0ms20×body640valid
4.0ms18×body320valid
2.0msbody160valid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0199
1199

prune6.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 0.0b

Counts
2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
add-log-exp
add-sqr-sqrt
pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
associate-*r* associate-*l* sum-log
+-commutative associate-+l+ flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ unswap-sqr
Counts
2 → 31
Calls
2 calls:
6.0ms
(+ (+ x (sin y)) (* z (cos y)))
4.0ms
(* z (cos y))

series20.0ms

Counts
2 → 6
Calls
2 calls:
12.0ms
(+ (+ x (sin y)) (* z (cos y)))
8.0ms
(* z (cos y))

simplify47.0ms

Algorithm
egg-herbie
Counts
37 → 37
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
05221304

prune64.0ms

Filtered
26 candidates to 37 candidates (-42.3%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New30737
Fresh000
Picked011
Done000
Total30838

Merged error: 0.0b

Counts
38 → 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))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
pow1/3
add-exp-log swap-sqr associate-*r* associate-*l*
add-cbrt-cube add-log-exp unswap-sqr
pow-prod-down pow-sqr pow-prod-up
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))

series82.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(* (cbrt (cos y)) (cbrt (cos y)))
17.0ms
(cbrt (cos y))
18.0ms
(cbrt (cos y))
18.0ms
(cbrt (cos y))

simplify62.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (56.0ms)

IterNodesCost
05512477

prune101.0ms

Filtered
56 candidates to 85 candidates (-51.8%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New81485
Fresh336
Picked101
Done011
Total85893

Merged error: 0b

Counts
93 → 8

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b
(* z (pow (pow (cos y) 2) 1/3))
0.2b
(* (* z (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
pow-exp
pow1 cbrt-unprod
cbrt-prod unswap-sqr
pow-to-exp sqr-pow
associate-*l* add-log-exp
pow-unpow unpow2
unpow1/3 *-commutative
pow-pow pow1/3 pow-prod-down
Counts
4 → 90
Calls
4 calls:
8.0ms
(* z (pow (pow (cos y) 2) 1/3))
9.0ms
(* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
2.0ms
(pow (cos y) 2)
2.0ms
(cbrt (cos y))

series46.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(* z (pow (pow (cos y) 2) 1/3))
7.0ms
(* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
3.0ms
(pow (cos y) 2)
17.0ms
(cbrt (cos y))

simplify72.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 0 (62.0ms)

IterNodesCost
04851621
14851621

prune113.0ms

Filtered
61 candidates to 102 candidates (-67.2%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1002102
Fresh426
Picked101
Done011
Total1055110

Merged error: 0b

Counts
110 → 5

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* z (pow (cbrt (pow (cos y) 6)) 1/3)) (cbrt (cos y)))
0.3b
(cbrt (pow (cos y) 6))
0.3b
(cbrt (cos y))
0.6b
(pow (cos y) 6)

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
15×add-exp-log
13×cbrt-prod
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
add-cbrt-cube
pow1 prod-exp
unpow-prod-down associate-*r*
cbrt-unprod
add-log-exp
pow-unpow
pow-to-exp pow1/3 pow-exp sqr-pow
pow-pow unpow1/3 associate-*l* pow-prod-down *-commutative
Counts
4 → 66
Calls
4 calls:
9.0ms
(* (* z (pow (cbrt (pow (cos y) 6)) 1/3)) (cbrt (cos y)))
2.0ms
(cbrt (pow (cos y) 6))
1.0ms
(cbrt (cos y))
2.0ms
(pow (cos y) 6)

series34.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(* (* z (pow (cbrt (pow (cos y) 6)) 1/3)) (cbrt (cos y)))
3.0ms
(cbrt (pow (cos y) 6))
17.0ms
(cbrt (cos y))
7.0ms
(pow (cos y) 6)

simplify45.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
04886431
14886431

prune80.0ms

Filtered
48 candidates to 78 candidates (-62.5%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New78078
Fresh033
Picked011
Done011
Total78583

Merged error: 0b

Counts
83 → 5

regimes218.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0119
1119

end0.0ms

sample1.5s

Algorithm
intervals
Results
445.0ms960×body1280valid
340.0ms5582×body80valid
237.0ms851×body640valid
82.0ms403×body320valid
27.0ms204×body160valid

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