Details

Time bar (total: 4.1s)

analyze260.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
0%99.9%0.1%5
37.4%62.4%0.1%6
49.9%49.9%0.1%7
62.4%37.4%0.1%8
62.4%37.4%0.1%9
71.8%28.1%0.1%10
79.6%20.3%0.1%11
79.6%20.3%0.1%12
85%14.8%0.1%13
89.3%10.5%0.1%14

sample77.0ms

Algorithm
intervals
Results
22.0ms51×body1280valid
12.0ms152×body80valid
9.0ms32×body640valid
2.0ms13×body320valid
1.0ms8×body160valid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0119
1119

prune3.0ms

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

simplify58.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 0 (53.0ms)

IterNodesCost
05163392

prune89.0ms

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

localize14.0ms

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))

series77.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* (cbrt (cos y)) (cbrt (cos y)))
16.0ms
(cbrt (cos y))
19.0ms
(cbrt (cos y))
17.0ms
(cbrt (cos y))

simplify47.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
05025459

prune96.0ms

Filtered
50 candidates to 85 candidates (-70.0%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New84185
Fresh167
Picked011
Done000
Total85893

Merged error: 0.0b

Counts
93 → 8

localize18.0ms

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:
9.0ms
(* z (sin y))
6.0ms
(* (* x (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
3.0ms
(pow (cos y) 2)
17.0ms
(cbrt (cos y))

simplify59.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 0 (53.0ms)

IterNodesCost
04903441
14903441

prune117.0ms

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

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New83184
Fresh066
Picked101
Done011
Total84892

Merged error: 0.0b

Counts
92 → 8

localize23.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* x (pow (pow (cos y) 2) 1/3)) (log (exp (cbrt (cos y)))))
0.2b
(log (exp (cbrt (cos y))))
0.2b
(pow (cos y) 2)
0.3b
(cbrt (cos y))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
20×add-exp-log
15×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
14×log-pow
12×exp-prod
11×prod-exp add-cbrt-cube
10×associate-*r*
9×pow1 cbrt-prod log-prod
5×pow-exp cbrt-unprod
4×add-log-exp
3×distribute-rgt-in pow-to-exp unpow-prod-down pow-unpow distribute-lft-in
1×pow-pow unpow1/3 pow1/3 rem-log-exp associate-*l* pow-prod-down *-commutative unpow2 sqr-pow
Counts
4 → 82
Calls
4 calls:
11.0ms
(* (* x (pow (pow (cos y) 2) 1/3)) (log (exp (cbrt (cos y)))))
2.0ms
(log (exp (cbrt (cos y))))
2.0ms
(pow (cos y) 2)
2.0ms
(cbrt (cos y))

series43.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(* (* x (pow (pow (cos y) 2) 1/3)) (log (exp (cbrt (cos y)))))
16.0ms
(log (exp (cbrt (cos y))))
3.0ms
(pow (cos y) 2)
16.0ms
(cbrt (cos y))

simplify77.0ms

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 0 (67.0ms)

IterNodesCost
04821573
14821573

prune100.0ms

Filtered
60 candidates to 94 candidates (-56.7%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New94094
Fresh066
Picked011
Done011
Total948102

Merged error: 0.0b

Counts
102 → 8

regimes202.0ms

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
02019
12019

end0.0ms

sample2.6s

Algorithm
intervals
Results
889.0ms1573×body1280valid
337.0ms1251×body640valid
277.0ms4257×body80valid
111.0ms609×body320valid
39.0ms310×body160valid

Profiling

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