Details

Time bar (total: 3.3s)

analyze276.0ms

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

sample56.0ms

Algorithm
intervals
Results
18.0ms41×body1280valid
12.0ms31×body640valid
10.0ms152×body80valid
5.0ms24×body320valid
1.0msbody160valid

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: 0.1b

Counts
2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
associate-*r* associate-*l*
add-log-exp
pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
+-commutative flip3-+ sum-log flip-+
Counts
3 → 47
Calls
3 calls:
4.0ms
(+ (* x (sin y)) (* z (cos y)))
4.0ms
(* x (sin y))
4.0ms
(* z (cos y))

series31.0ms

Counts
3 → 9
Calls
3 calls:
16.0ms
(+ (* x (sin y)) (* z (cos y)))
8.0ms
(* x (sin y))
7.0ms
(* z (cos y))

simplify59.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 0 (52.0ms)

IterNodesCost
05167396

prune84.0ms

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

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New49756
Fresh000
Picked101
Done000
Total50757

Merged error: 0.0b

Counts
57 → 7

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* x (sin y))) (cbrt (* x (sin y))))
7.2b
(cbrt (* x (sin y)))
7.2b
(cbrt (* x (sin y)))
7.2b
(cbrt (* x (sin y)))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
11×pow1
10×add-sqr-sqrt
pow1/3
add-cube-cbrt *-un-lft-identity
cbrt-prod
add-exp-log
swap-sqr associate-*r* associate-*l* add-cbrt-cube add-log-exp
pow-prod-down pow-sqr pow-prod-up
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))))
3.0ms
(cbrt (* x (sin y)))
3.0ms
(cbrt (* x (sin y)))
3.0ms
(cbrt (* x (sin y)))

series111.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(* (cbrt (* x (sin y))) (cbrt (* x (sin y))))
25.0ms
(cbrt (* x (sin y)))
25.0ms
(cbrt (* x (sin y)))
27.0ms
(cbrt (* x (sin y)))

simplify46.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
05037446

prune89.0ms

Filtered
52 candidates to 70 candidates (-34.6%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New70070
Fresh066
Picked011
Done000
Total70777

Merged error: 0.0b

Counts
77 → 7

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt z) (cbrt z))
0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
pow1/3
add-exp-log swap-sqr associate-*r* associate-*l*
add-cbrt-cube add-log-exp unswap-sqr
pow-prod-down pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
5.0ms
(* (cbrt z) (cbrt z))
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)

series96.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(* (cbrt z) (cbrt z))
22.0ms
(cbrt z)
23.0ms
(cbrt z)
25.0ms
(cbrt z)

simplify46.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
05165356

prune97.0ms

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

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New83285
Fresh055
Picked011
Done011
Total83992

Merged error: 0.0b

Counts
92 → 9

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)
0.9b
(pow (cbrt (cbrt z)) 4)

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-prod
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
unpow-prod-down
pow1 add-exp-log
pow1/3 add-cbrt-cube add-log-exp
pow-unpow
pow-pow
pow-to-exp pow-exp sqr-pow
Counts
4 → 57
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)
5.0ms
(pow (cbrt (cbrt z)) 4)

series114.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(cbrt z)
25.0ms
(cbrt z)
23.0ms
(cbrt z)
43.0ms
(pow (cbrt (cbrt z)) 4)

simplify52.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
05014328

prune74.0ms

Filtered
44 candidates to 69 candidates (-56.8%)
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New69069
Fresh066
Picked011
Done022
Total69978

Merged error: 0.0b

Counts
78 → 9

regimes214.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01522
11522

end0.0ms

sample1.7s

Algorithm
intervals
Results
703.0ms1593×body1280valid
348.0ms1204×body640valid
273.0ms4255×body80valid
131.0ms620×body320valid
46.0ms328×body160valid

Profiling

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