Details

Time bar (total: 3.2s)

sample59.0ms

Algorithm
intervals
Results
20.0ms38×body1280valid
11.0ms40×body640valid
9.0ms153×body80valid
3.0ms14×body320valid
1.0ms11×body160valid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0115
1115

prune4.0ms

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 3 expressions with local error:

0.0b
(+ (* x (cos y)) (* z (sin y)))
0.1b
(* x (cos y))
0.1b
(* z (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 (cos y)) (* z (sin y)))
4.0ms
(* x (cos y))
4.0ms
(* z (sin y))

series28.0ms

Counts
3 → 9
Calls
3 calls:
15.0ms
(+ (* x (cos y)) (* z (sin y)))
6.0ms
(* x (cos y))
7.0ms
(* z (sin y))

simplify69.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0183248
1698227
22213227
35001227

prune85.0ms

Filtered
39 candidates to 56 candidates (-43.6%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New48856
Fresh000
Picked101
Done000
Total49857

Merged error: 0.0b

Counts
57 → 8

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (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)))
1.0ms
(cbrt (cos y))
1.0ms
(cbrt (cos y))
2.0ms
(cbrt (cos y))

series75.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(* (cbrt (cos y)) (cbrt (cos y)))
16.0ms
(cbrt (cos y))
18.0ms
(cbrt (cos y))
16.0ms
(cbrt (cos y))

simplify105.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (99.0ms)

IterNodesCost
0125433
1507381
23337357
35001351

prune117.0ms

Filtered
60 candidates to 85 candidates (-41.7%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New82385
Fresh077
Picked101
Done000
Total831093

Merged error: 0.0b

Counts
93 → 10

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
22×add-exp-log
13×add-sqr-sqrt
12×prod-exp
11×add-cube-cbrt *-un-lft-identity
10×add-cbrt-cube
9×pow1 associate-*r*
6×cbrt-prod cbrt-unprod
5×pow-exp
4×associate-*l* add-log-exp
3×pow-to-exp unpow-prod-down pow-unpow
2×pow-prod-down *-commutative
1×pow-pow unpow1/3 pow1/3 unpow2 unswap-sqr sqr-pow
Counts
4 → 72
Calls
4 calls:
4.0ms
(* z (sin y))
9.0ms
(* (* x (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
2.0ms
(pow (cos y) 2)
1.0ms
(cbrt (cos y))

series35.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(* z (sin y))
6.0ms
(* (* x (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
3.0ms
(pow (cos y) 2)
18.0ms
(cbrt (cos y))

simplify42.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0297419
11306364
25002350

prune136.0ms

Filtered
52 candidates to 84 candidates (-61.5%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New83184
Fresh099
Picked011
Done000
Total831194

Merged error: 0.0b

Counts
94 → 11

localize21.0ms

Local error

Found 4 expressions with local error:

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

series67.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(cbrt (cos y))
17.0ms
(cbrt (cos y))
16.0ms
(cbrt (cos y))
18.0ms
(cbrt (cbrt (cos y)))

simplify209.0ms

Algorithm
egg-herbie
Counts
59 → 59
Iterations

Useful iterations: 2 (8.0ms)

IterNodesCost
083266
1228244
2751236
34296236
45001236

prune90.0ms

Filtered
46 candidates to 59 candidates (-28.3%)
Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New59059
Fresh099
Picked011
Done011
Total591170

Merged error: 0.0b

Counts
70 → 11

regimes243.0ms

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
01810
11810

end0.0ms

sample1.8s

Algorithm
intervals
Results
683.0ms1550×body1280valid
339.0ms1254×body640valid
259.0ms4312×body80valid
116.0ms578×body320valid
41.0ms306×body160valid

Profiling

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