Details

Time bar (total: 3.5s)

analyze253.0ms

Algorithm
search

sample60.0ms

Algorithm
intervals
Results
23.0ms51×body1280valid
9.0ms33×body640valid
8.0ms129×body80valid
4.0ms23×body320valid
3.0ms20×body160valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0115
1115

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))

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
(* z (sin y))
4.0ms
(* x (cos y))

series29.0ms

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

simplify71.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0183248
1698227
22213227
35001227

prune82.0ms

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

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (cbrt (cos y)) (cbrt (cos y)))
0.4b
(cbrt (cos y))
0.4b
(cbrt (cos y))
0.4b
(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))

series78.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* (cbrt (cos y)) (cbrt (cos y)))
19.0ms
(cbrt (cos y))
17.0ms
(cbrt (cos y))
18.0ms
(cbrt (cos y))

simplify108.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (102.0ms)

IterNodesCost
0125433
1507381
23337357
35001351

prune109.0ms

Filtered
60 candidates to 85 candidates (-41.7%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New82385
Fresh167
Picked101
Done000
Total84993

Merged error: 0.0b

Counts
93 → 9

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* x (cbrt (pow (cos y) 2))) (cbrt (cos y)))
0.3b
(pow (cos y) 2)
0.3b
(cbrt (pow (cos y) 2))
0.4b
(cbrt (cos y))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
14×cbrt-prod
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
10×pow1 add-exp-log
6×unpow-prod-down associate-*r* add-cbrt-cube
4×add-log-exp
3×pow-unpow pow-prod-down prod-exp cbrt-unprod
2×pow1/3 unpow2 sqr-pow
1×pow-to-exp pow-pow associate-*l* pow-exp *-commutative
Counts
4 → 66
Calls
4 calls:
7.0ms
(* (* x (cbrt (pow (cos y) 2))) (cbrt (cos y)))
2.0ms
(pow (cos y) 2)
2.0ms
(cbrt (pow (cos y) 2))
1.0ms
(cbrt (cos y))

series54.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(* (* x (cbrt (pow (cos y) 2))) (cbrt (cos y)))
3.0ms
(pow (cos y) 2)
27.0ms
(cbrt (pow (cos y) 2))
17.0ms
(cbrt (cos y))

simplify39.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0236416
11088359
25002345

prune125.0ms

Filtered
51 candidates to 78 candidates (-52.9%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New76278
Fresh268
Picked101
Done000
Total79887

Merged error: 0.0b

Counts
87 → 8

localize18.0ms

Local error

Found 4 expressions with local error:

0.3b
(pow (cos y) 2)
0.3b
(cbrt (log (exp (pow (cos y) 2))))
0.4b
(cbrt (cos y))
0.7b
(log (exp (pow (cos y) 2)))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
18×log-pow
16×exp-prod
15×cbrt-prod
13×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×unpow-prod-down
7×pow1
5×add-exp-log
4×add-cbrt-cube add-log-exp
3×pow-unpow log-prod unpow2 sqr-pow
2×pow1/3
1×pow-to-exp pow-pow rem-log-exp pow-exp
Counts
4 → 69
Calls
4 calls:
3.0ms
(pow (cos y) 2)
3.0ms
(cbrt (log (exp (pow (cos y) 2))))
1.0ms
(cbrt (cos y))
3.0ms
(log (exp (pow (cos y) 2)))

series51.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(pow (cos y) 2)
25.0ms
(cbrt (log (exp (pow (cos y) 2))))
19.0ms
(cbrt (cos y))
3.0ms
(log (exp (pow (cos y) 2)))

simplify77.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 3 (71.0ms)

IterNodesCost
0192363
1589298
22139291
35002289

prune113.0ms

Filtered
58 candidates to 81 candidates (-39.7%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New81081
Fresh077
Picked011
Done000
Total81889

Merged error: 0.0b

Counts
89 → 8

regimes202.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01912
11912

end0.0ms

analyze249.0ms

Algorithm
search

sample1.7s

Algorithm
intervals
Results
691.0ms1551×body1280valid
361.0ms1258×body640valid
274.0ms4294×body80valid
111.0ms577×body320valid
43.0ms320×body160valid

Profiling

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