Details

Time bar (total: 3.7s)

analyze290.0ms

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
25%74.9%0.1%6
49.9%49.9%0.1%7
56.2%43.7%0.1%8
56.2%43.7%0.1%9
71.8%28.1%0.1%10
76.5%23.4%0.1%11
76.5%23.4%0.1%12
85%14.8%0.1%13
87.8%12.1%0.1%14

sample62.0ms

Algorithm
intervals
Results
29.0ms64×body1280valid
9.0ms135×body80valid
9.0ms31×body640valid
4.0ms20×body320valid
1.0ms6×body160valid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0119
1119

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.2b

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))

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:
19.0ms
(+ (* x (sin y)) (* z (cos y)))
6.0ms
(* z (cos y))
7.0ms
(* x (sin y))

simplify52.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
04938396
14938396

prune96.0ms

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

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New461056
Fresh000
Picked101
Done000
Total471057

Merged error: 0.0b

Counts
57 → 10

localize17.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (* x (sin y))) (cbrt (* x (sin y))))
8.9b
(cbrt (* x (sin y)))
8.9b
(cbrt (* x (sin y)))
8.9b
(cbrt (* x (sin y)))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
11×pow1
10×add-sqr-sqrt
9×pow1/3
8×add-cube-cbrt *-un-lft-identity
7×cbrt-prod
6×add-exp-log
4×swap-sqr associate-*r* associate-*l* add-cbrt-cube add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 58
Calls
4 calls:
5.0ms
(* (cbrt (* x (sin y))) (cbrt (* x (sin y))))
2.0ms
(cbrt (* x (sin y)))
2.0ms
(cbrt (* x (sin y)))
2.0ms
(cbrt (* x (sin y)))

series101.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(* (cbrt (* x (sin y))) (cbrt (* x (sin y))))
23.0ms
(cbrt (* x (sin y)))
23.0ms
(cbrt (* x (sin y)))
22.0ms
(cbrt (* x (sin y)))

simplify63.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 0 (57.0ms)

IterNodesCost
05058437

prune113.0ms

Filtered
51 candidates to 70 candidates (-37.3%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New68270
Fresh099
Picked101
Done000
Total691180

Merged error: 0.0b

Counts
80 → 11

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (sin y))
0.6b
(cbrt x)
8.9b
(cbrt (* x (sin y)))
8.9b
(cbrt (* x (sin y)))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
8×cbrt-prod
6×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 40
Calls
4 calls:
1.0ms
(cbrt (sin y))
1.0ms
(cbrt x)
2.0ms
(cbrt (* x (sin y)))
3.0ms
(cbrt (* x (sin y)))

series85.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(cbrt (sin y))
22.0ms
(cbrt x)
22.0ms
(cbrt (* x (sin y)))
23.0ms
(cbrt (* x (sin y)))

simplify51.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
04881278
14881278

prune96.0ms

Filtered
40 candidates to 52 candidates (-30.0%)
Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New51152
Fresh01010
Picked011
Done000
Total511263

Merged error: 0.0b

Counts
63 → 12

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (sin y)) (cbrt (sin y)))
0.6b
(cbrt (sin y))
0.6b
(cbrt (sin y))
0.6b
(cbrt (sin 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 (sin y)) (cbrt (sin y)))
1.0ms
(cbrt (sin y))
1.0ms
(cbrt (sin y))
1.0ms
(cbrt (sin y))

series78.0ms

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

simplify62.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (55.0ms)

IterNodesCost
05434488

prune77.0ms

Filtered
56 candidates to 85 candidates (-51.8%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New83285
Fresh1910
Picked101
Done101
Total861197

Merged error: 0.0b

Counts
97 → 11

regimes337.0ms

Accuracy

0% (0.9b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 0.9b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01522
11522

end0.0ms

analyze284.0ms

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
25%74.9%0.1%6
49.9%49.9%0.1%7
56.2%43.7%0.1%8
56.2%43.7%0.1%9
71.8%28.1%0.1%10
76.5%23.4%0.1%11
76.5%23.4%0.1%12
85%14.8%0.1%13
87.8%12.1%0.1%14

sample1.7s

Algorithm
intervals
Results
675.0ms1488×body1280valid
349.0ms1228×body640valid
290.0ms4351×body80valid
121.0ms588×body320valid
49.0ms345×body160valid

Profiling

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