Details

Time bar (total: 3.2s)

sample60.0ms

Algorithm
intervals
Results
18.0ms40×body1280valid
13.0ms152×body80valid
9.0ms35×body640valid
3.0ms17×body320valid
2.0ms12×body160valid

simplify4.0ms

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

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite9.0ms

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

series14.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(* z (sin y))
6.0ms
(* x (cos y))

simplify91.0ms

Algorithm
egg-herbie
Counts
42 → 42
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
0118145
1439125
21037125
31579125
43660125
55002125

prune78.0ms

Filtered
42 candidates to 28 candidates (33.3%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New34842
Fresh000
Picked101
Done000
Total35843

Merged error: 0.0b

Counts
43 → 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))

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))

series76.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(* (cbrt (cos y)) (cbrt (cos y)))
17.0ms
(cbrt (cos y))
16.0ms
(cbrt (cos y))
17.0ms
(cbrt (cos y))

simplify103.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (97.0ms)

IterNodesCost
0125433
1507381
23337357
35001351

prune113.0ms

Filtered
85 candidates to 60 candidates (29.4%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New82385
Fresh257
Picked101
Done000
Total85893

Merged error: 0.0b

Counts
93 → 8

localize16.0ms

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))

rewrite22.0ms

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:
7.0ms
(* x (pow (pow (cos y) 2) 1/3))
9.0ms
(* (* x (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
2.0ms
(pow (cos y) 2)
1.0ms
(cbrt (cos y))

series48.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(* x (pow (pow (cos y) 2) 1/3))
6.0ms
(* (* x (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
3.0ms
(pow (cos y) 2)
17.0ms
(cbrt (cos y))

simplify44.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0320572
11417499
25002468

prune160.0ms

Filtered
102 candidates to 62 candidates (39.2%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1002102
Fresh257
Picked011
Done000
Total1028110

Merged error: 0.0b

Counts
110 → 8

localize22.0ms

Local error

Found 4 expressions with local error:

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

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
71×add-exp-log
55×prod-exp
27×add-cbrt-cube cbrt-unprod
21×associate-*r*
17×unpow-prod-down
15×pow-to-exp pow-exp
13×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
10×unpow1/3
8×sqrt-prod
7×pow1
6×cbrt-prod
4×add-log-exp
3×pow-unpow sqr-pow
2×associate-*l* *-commutative unpow2
1×pow-pow pow1/3 pow-prod-down
Counts
4 → 107
Calls
4 calls:
14.0ms
(* (* (* x (pow (fabs (cos y)) 1/3)) (pow (sqrt (pow (cos y) 2)) 1/3)) (cbrt (cos y)))
12.0ms
(* (* x (pow (fabs (cos y)) 1/3)) (pow (sqrt (pow (cos y) 2)) 1/3))
3.0ms
(pow (cos y) 2)
1.0ms
(cbrt (cos y))

series68.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(* (* (* x (pow (fabs (cos y)) 1/3)) (pow (sqrt (pow (cos y) 2)) 1/3)) (cbrt (cos y)))
21.0ms
(* (* x (pow (fabs (cos y)) 1/3)) (pow (sqrt (pow (cos y) 2)) 1/3))
3.0ms
(pow (cos y) 2)
17.0ms
(cbrt (cos y))

simplify70.0ms

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
04631168
12259955
25001784

prune165.0ms

Filtered
119 candidates to 61 candidates (48.7%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1190119
Fresh066
Picked011
Done011
Total1198127

Merged error: 0.0b

Counts
127 → 8

regimes219.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01810
11810

end0.0ms

sample1.8s

Algorithm
intervals
Results
666.0ms1526×body1280valid
360.0ms1288×body640valid
267.0ms4278×body80valid
108.0ms571×body320valid
44.0ms337×body160valid

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