Details

Time bar (total: 3.3s)

analyze254.0ms

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

sample60.0ms

Algorithm
intervals
Results
22.0ms47×body1280valid
12.0ms137×body80valid
10.0ms37×body640valid
3.0ms18×body320valid
2.0ms17×body160valid

simplify7.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (6.0ms)

IterNodesCost
01589
11589

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

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×sub-neg flip3-- diff-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:
14.0ms
(- (* x (cos y)) (* z (sin y)))
7.0ms
(* x (cos y))
7.0ms
(* z (sin y))

simplify38.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 0 (33.0ms)

IterNodesCost
04868397
14868397

prune94.0ms

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

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))

rewrite11.0ms

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))

series76.0ms

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

simplify45.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
05025459

prune111.0ms

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

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New83285
Fresh099
Picked101
Done000
Total841195

Merged error: 0.0b

Counts
95 → 11

localize19.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (cos y))
0.3b
(cbrt (cos y))
0.4b
(cbrt (cbrt (cos y)))
0.5b
(pow (cbrt (cbrt (cos y))) 4)

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
24×cbrt-prod
12×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×unpow-prod-down
5×pow1 add-exp-log
4×pow1/3 add-cbrt-cube add-log-exp
3×pow-unpow
2×pow-pow
1×pow-to-exp pow-exp sqr-pow
Counts
4 → 60
Calls
4 calls:
1.0ms
(cbrt (cos y))
1.0ms
(cbrt (cos y))
2.0ms
(cbrt (cbrt (cos y)))
4.0ms
(pow (cbrt (cbrt (cos y))) 4)

series73.0ms

Counts
4 → 12
Calls
4 calls:
17.0ms
(cbrt (cos y))
16.0ms
(cbrt (cos y))
16.0ms
(cbrt (cbrt (cos y)))
24.0ms
(pow (cbrt (cbrt (cos y))) 4)

simplify52.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
04857464
14857464

prune127.0ms

Filtered
45 candidates to 72 candidates (-60.0%)
Pruning

14 alts after pruning (13 fresh and 1 done)

PrunedKeptTotal
New69372
Fresh01010
Picked011
Done000
Total691483

Merged error: 0.0b

Counts
83 → 14

localize20.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (cos y))
0.3b
(cbrt (cos y))
0.3b
(cbrt (cos y))
0.4b
(pow (cos y) 4)

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
9×cbrt-prod add-sqr-sqrt add-cube-cbrt *-un-lft-identity
5×pow1 add-exp-log
4×add-cbrt-cube add-log-exp
3×unpow-prod-down pow-unpow pow1/3
1×pow-to-exp pow-pow pow-exp sqr-pow
Counts
4 → 50
Calls
4 calls:
1.0ms
(cbrt (cos y))
1.0ms
(cbrt (cos y))
1.0ms
(cbrt (cos y))
2.0ms
(pow (cos y) 4)

series56.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(cbrt (cos y))
16.0ms
(cbrt (cos y))
16.0ms
(cbrt (cos y))
5.0ms
(pow (cos y) 4)

simplify47.0ms

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
04947328
14947328

prune78.0ms

Filtered
42 candidates to 62 candidates (-47.6%)
Pruning

14 alts after pruning (12 fresh and 2 done)

PrunedKeptTotal
New62062
Fresh01212
Picked011
Done011
Total621476

Merged error: 0.0b

Counts
76 → 14

regimes280.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04726
14726

end0.0ms

sample1.7s

Algorithm
intervals
Results
692.0ms1492×body1280valid
371.0ms1292×body640valid
290.0ms4277×body80valid
120.0ms621×body320valid
46.0ms318×body160valid

Profiling

Loading profile data...