Details

Time bar (total: 3.5s)

sample80.0ms

Algorithm
intervals
Results
20.0ms343×body80valid
19.0ms65×body1280valid
14.0ms70×body640valid
5.0ms32×body320valid
2.0ms17×body160valid

simplify54.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (53.0ms)

IterNodesCost
014277
114277

prune10.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 2

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(sinh y)
0.0b
(/ (sinh y) x)
0.1b
(* (sin x) (/ (sinh y) x))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
19×add-cube-cbrt *-un-lft-identity times-frac
13×associate-*r*
10×add-exp-log add-cbrt-cube
5×pow1
3×associate-*l* associate-/r* associate-/l* add-log-exp
2×cbrt-undiv sinh-def div-exp prod-exp cbrt-unprod div-inv unswap-sqr
1×frac-2neg associate-*r/ pow-prod-down clear-num *-commutative associate-/l/
Counts
3 → 68
Calls
3 calls:
2.0ms
(sinh y)
4.0ms
(/ (sinh y) x)
8.0ms
(* (sin x) (/ (sinh y) x))

series54.0ms

Counts
3 → 9
Calls
3 calls:
9.0ms
(sinh y)
16.0ms
(/ (sinh y) x)
30.0ms
(* (sin x) (/ (sinh y) x))

simplify37.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 0 (31.0ms)

IterNodesCost
05870627

prune90.0ms

Filtered
60 candidates to 77 candidates (-28.3%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New72577
Fresh011
Picked011
Done000
Total72779

Merged error: 0.0b

Counts
79 → 7

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (sin x)) (cbrt (sin x)))
0.6b
(cbrt (sin x))
0.6b
(cbrt (sin x))
0.6b
(cbrt (sin x))

rewrite14.0ms

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:
7.0ms
(* (cbrt (sin x)) (cbrt (sin x)))
2.0ms
(cbrt (sin x))
2.0ms
(cbrt (sin x))
2.0ms
(cbrt (sin x))

series91.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(* (cbrt (sin x)) (cbrt (sin x)))
21.0ms
(cbrt (sin x))
21.0ms
(cbrt (sin x))
21.0ms
(cbrt (sin x))

simplify42.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
05167488

prune92.0ms

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

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New83285
Fresh145
Picked011
Done011
Total84892

Merged error: 0b

Counts
92 → 8

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt (sinh y))
0.6b
(cbrt (sinh y))
0.6b
(cbrt (sinh y))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
3×sinh-def cbrt-div
Counts
4 → 47
Calls
4 calls:
1.0ms
(cbrt x)
2.0ms
(cbrt (sinh y))
2.0ms
(cbrt (sinh y))
2.0ms
(cbrt (sinh y))

series122.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(cbrt x)
31.0ms
(cbrt (sinh y))
31.0ms
(cbrt (sinh y))
35.0ms
(cbrt (sinh y))

simplify50.0ms

Algorithm
egg-herbie
Counts
59 → 59
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
05199338

prune72.0ms

Filtered
46 candidates to 59 candidates (-28.3%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New59059
Fresh055
Picked011
Done022
Total59867

Merged error: 0b

Counts
67 → 8

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (sin x))
0.6b
(cbrt (sin x))
0.6b
(cbrt (cbrt (sin x)))
0.6b
(cbrt (cbrt (sin x)))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
24×cbrt-prod
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 50
Calls
4 calls:
2.0ms
(cbrt (sin x))
2.0ms
(cbrt (sin x))
2.0ms
(cbrt (cbrt (sin x)))
2.0ms
(cbrt (cbrt (sin x)))

series86.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(cbrt (sin x))
21.0ms
(cbrt (sin x))
21.0ms
(cbrt (cbrt (sin x)))
21.0ms
(cbrt (cbrt (sin x)))

simplify45.0ms

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
05094364

prune71.0ms

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

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New62062
Fresh044
Picked011
Done033
Total62870

Merged error: 0b

Counts
70 → 8

regimes231.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
177

end0.0ms

sample2.2s

Algorithm
intervals
Results
537.0ms1874×body1280valid
498.0ms10362×body80valid
400.0ms1998×body640valid
161.0ms1150×body320valid
62.0ms634×body160valid

Profiling

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