Details

Time bar (total: 3.3s)

sample67.0ms

Algorithm
intervals
Results
22.0ms48×body1280valid
15.0ms39×body640valid
8.0ms130×body80valid
5.0ms26×body320valid
2.0ms13×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: 0.2b

Counts
2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x (sin y)) (* z (cos y)))
0.2b
(* z (cos y))
0.2b
(* x (sin y))

rewrite12.0ms

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

series32.0ms

Counts
3 → 9
Calls
3 calls:
18.0ms
(+ (* x (sin y)) (* z (cos y)))
7.0ms
(* z (cos y))
7.0ms
(* x (sin y))

simplify70.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0185250
1702229
22218229
35001229

prune101.0ms

Filtered
56 candidates to 40 candidates (28.6%)
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))
2.0ms
(cbrt (cos y))
1.0ms
(cbrt (cos y))

series79.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* (cbrt (cos y)) (cbrt (cos y)))
18.0ms
(cbrt (cos y))
17.0ms
(cbrt (cos y))
19.0ms
(cbrt (cos y))

simplify106.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (100.0ms)

IterNodesCost
0125433
1507381
23337357
35001351

prune130.0ms

Filtered
85 candidates to 60 candidates (29.4%)
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New82385
Fresh01010
Picked101
Done000
Total831396

Merged error: 0.0b

Counts
96 → 13

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b
(* x (sin y))
0.3b
(pow (cos y) 2)
0.3b
(cbrt (cos y))
0.4b
(cbrt (pow (cos y) 2))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt
11×cbrt-prod add-cube-cbrt *-un-lft-identity
7×pow1 add-exp-log
6×unpow-prod-down add-cbrt-cube
4×add-log-exp
3×pow-unpow associate-*r* associate-*l*
2×pow1/3 unpow2 sqr-pow
1×pow-to-exp pow-pow pow-prod-down pow-exp prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 63
Calls
4 calls:
4.0ms
(* x (sin y))
2.0ms
(pow (cos y) 2)
1.0ms
(cbrt (cos y))
2.0ms
(cbrt (pow (cos y) 2))

series53.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(* x (sin y))
3.0ms
(pow (cos y) 2)
17.0ms
(cbrt (cos y))
26.0ms
(cbrt (pow (cos y) 2))

simplify102.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 3 (96.0ms)

IterNodesCost
0206301
1736261
23102255
35002254

prune143.0ms

Filtered
75 candidates to 50 candidates (33.3%)
Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New72375
Fresh3912
Picked011
Done000
Total751388

Merged error: 0.0b

Counts
88 → 13

localize20.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (cos y))
0.3b
(cbrt (cos y))
0.3b
(cbrt (cbrt (cos y)))
0.4b
(cbrt (pow (cos y) 2))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
23×cbrt-prod
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
3×unpow-prod-down
1×unpow2 sqr-pow
Counts
4 → 52
Calls
4 calls:
1.0ms
(cbrt (cos y))
2.0ms
(cbrt (cos y))
2.0ms
(cbrt (cbrt (cos y)))
2.0ms
(cbrt (pow (cos y) 2))

series78.0ms

Counts
4 → 12
Calls
4 calls:
17.0ms
(cbrt (cos y))
17.0ms
(cbrt (cos y))
17.0ms
(cbrt (cbrt (cos y)))
27.0ms
(cbrt (pow (cos y) 2))

simplify63.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 2 (14.0ms)

IterNodesCost
0144306
1453282
21501274
35001274

prune112.0ms

Filtered
64 candidates to 48 candidates (25.0%)
Pruning

13 alts after pruning (11 fresh and 2 done)

PrunedKeptTotal
New64064
Fresh01111
Picked011
Done011
Total641377

Merged error: 0.0b

Counts
77 → 13

regimes278.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01710
11710

end0.0ms

sample1.8s

Algorithm
intervals
Results
683.0ms1530×body1280valid
356.0ms1254×body640valid
263.0ms4310×body80valid
122.0ms605×body320valid
41.0ms301×body160valid

Profiling

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