Details

Time bar (total: 3.5s)

analyze251.0ms

Algorithm
search

sample54.0ms

Algorithm
intervals
Results
22.0ms49×body1280valid
10.0ms150×body80valid
7.0ms26×body640valid
4.0ms22×body320valid
1.0msbody160valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0125
1195
2195

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

rewrite14.0ms

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
sub-neg flip3-- diff-log flip--
Counts
3 → 48
Calls
3 calls:
6.0ms
(- (* x (cos y)) (* z (sin y)))
4.0ms
(* z (sin y))
4.0ms
(* x (cos y))

series28.0ms

Counts
3 → 9
Calls
3 calls:
15.0ms
(- (* x (cos y)) (* z (sin y)))
7.0ms
(* z (sin y))
6.0ms
(* x (cos y))

simplify58.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0174254
1636233
22041233
35001233

prune95.0ms

Filtered
39 candidates to 57 candidates (-46.2%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New461157
Fresh000
Picked101
Done000
Total471158

Merged error: 0.1b

Counts
58 → 11

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt z) (cbrt z))
0.7b
(cbrt z)
0.7b
(cbrt z)
0.7b
(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)

series91.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(* (cbrt z) (cbrt z))
23.0ms
(cbrt z)
21.0ms
(cbrt z)
22.0ms
(cbrt z)

simplify72.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (66.0ms)

IterNodesCost
0148349
1471322
22276265
35002252

prune108.0ms

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

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New84185
Fresh1910
Picked011
Done000
Total851196

Merged error: 0.0b

Counts
96 → 11

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
10.2b
(cbrt (* z (sin y)))
10.2b
(cbrt (* z (sin y)))
10.2b
(cbrt (* z (sin y)))

rewrite13.0ms

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 (* z (sin y))) (cbrt (* z (sin y))))
2.0ms
(cbrt (* z (sin y)))
2.0ms
(cbrt (* z (sin y)))
2.0ms
(cbrt (* z (sin y)))

series102.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
23.0ms
(cbrt (* z (sin y)))
24.0ms
(cbrt (* z (sin y)))
23.0ms
(cbrt (* z (sin y)))

simplify91.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 3 (85.0ms)

IterNodesCost
0197476
1659425
23240368
35001346

prune114.0ms

Filtered
53 candidates to 70 candidates (-32.1%)
Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New67370
Fresh189
Picked011
Done101
Total691281

Merged error: 0.0b

Counts
81 → 12

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (sin y))
0.7b
(cbrt z)
10.2b
(cbrt (* z (sin y)))
10.2b
(cbrt (* z (sin y)))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
cbrt-prod
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
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 z)
2.0ms
(cbrt (* z (sin y)))
2.0ms
(cbrt (* z (sin y)))

series88.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(cbrt (sin y))
21.0ms
(cbrt z)
23.0ms
(cbrt (* z (sin y)))
26.0ms
(cbrt (* z (sin y)))

simplify46.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 3 (42.0ms)

IterNodesCost
0164280
1394257
21344218
35001194

prune57.0ms

Filtered
42 candidates to 52 candidates (-23.8%)
Pruning

12 alts after pruning (10 fresh and 2 done)

PrunedKeptTotal
New51152
Fresh1910
Picked011
Done011
Total521264

Merged error: 0.0b

Counts
64 → 12

regimes251.0ms

Accuracy

0% (0.5b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01915
11915

end0.0ms

analyze246.0ms

Algorithm
search

sample1.7s

Algorithm
intervals
Results
650.0ms1426×body1280valid
378.0ms1333×body640valid
277.0ms4350×body80valid
128.0ms613×body320valid
37.0ms278×body160valid

Profiling

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