Details

Time bar (total: 4.1s)

sample53.0ms

Algorithm
intervals
Results
20.0ms47×body1280valid
8.0ms32×body640valid
8.0ms137×body80valid
5.0ms25×body320valid
2.0ms15×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 (sin y)) (* z (cos y)))
0.1b
(* z (cos y))
0.1b
(* x (sin y))

rewrite13.0ms

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))

series156.0ms

Counts
3 → 9
Calls
3 calls:
76.0ms
(+ (* x (sin y)) (* z (cos y)))
36.0ms
(* z (cos y))
44.0ms
(* x (sin y))

simplify75.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0185250
1702229
22218229
35001229

prune133.0ms

Filtered
56 candidates to 40 candidates (71.4%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New47956
Fresh000
Picked101
Done000
Total48957

Merged error: 0.0b

Counts
57 → 9

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))
1.0ms
(cbrt (cos y))

series453.0ms

Counts
4 → 12
Calls
4 calls:
157.0ms
(* (cbrt (cos y)) (cbrt (cos y)))
96.0ms
(cbrt (cos y))
101.0ms
(cbrt (cos y))
98.0ms
(cbrt (cos y))

simplify107.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (101.0ms)

IterNodesCost
0122441
1481389
23180357
35001351

prune217.0ms

Filtered
85 candidates to 60 candidates (70.6%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New83285
Fresh268
Picked101
Done000
Total86894

Merged error: 0.0b

Counts
94 → 8

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite21.0ms

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
(* x (sin y))
11.0ms
(* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
1.0ms
(cbrt (cos y))
3.0ms
(pow (cos y) 2)

series194.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(* x (sin y))
36.0ms
(* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
97.0ms
(cbrt (cos y))
17.0ms
(pow (cos y) 2)

simplify47.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0294422
11280367
25001350

prune214.0ms

Filtered
84 candidates to 52 candidates (61.9%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New83184
Fresh077
Picked101
Done000
Total84892

Merged error: 0.0b

Counts
92 → 8

localize19.0ms

Local error

Found 4 expressions with local error:

0.2b
(exp (log (pow (cos y) 2)))
0.3b
(cbrt (cos y))
0.3b
(pow (cos y) 2)
1.4b
(log (pow (cos y) 2))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
16×log-prod
12×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×unpow-prod-down
8×exp-sum
7×add-exp-log
5×pow1
4×exp-prod add-cbrt-cube add-log-exp
3×cbrt-prod pow-unpow rem-log-exp unpow2 sqr-pow
2×pow-to-exp pow-exp log-pow
1×pow-pow pow1/3 rem-exp-log
Counts
4 → 68
Calls
4 calls:
4.0ms
(exp (log (pow (cos y) 2)))
1.0ms
(cbrt (cos y))
2.0ms
(pow (cos y) 2)
3.0ms
(log (pow (cos y) 2))

series246.0ms

Counts
4 → 12
Calls
4 calls:
17.0ms
(exp (log (pow (cos y) 2)))
102.0ms
(cbrt (cos y))
17.0ms
(pow (cos y) 2)
110.0ms
(log (pow (cos y) 2))

simplify92.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 3 (86.0ms)

IterNodesCost
0182326
1595278
22407258
35001250

prune208.0ms

Filtered
80 candidates to 49 candidates (61.3%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New80080
Fresh077
Picked011
Done000
Total80888

Merged error: 0.0b

Counts
88 → 8

regimes152.0ms

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
02012
12012

end0.0ms

sample1.6s

Algorithm
intervals
Results
685.0ms1565×body1280valid
335.0ms1239×body640valid
256.0ms4265×body80valid
117.0ms604×body320valid
42.0ms327×body160valid

Profiling

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