Details

Time bar (total: 5.4s)

sample72.0ms

Algorithm
intervals
Results
25.0ms86×body1280valid
14.0ms75×body640valid
13.0ms297×body80valid
5.0ms40×body320valid
2.0ms18×body160valid

simplify54.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0154
1284
2564
3984
41434
53104
68774
718244
850014

prune2.0ms

Filtered
1 candidates to 0 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 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

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

rewrite13.0ms

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×cosh-def associate-*l* associate-/r* associate-/l* add-log-exp
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv unswap-sqr
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative
Counts
3 → 69
Calls
3 calls:
6.0ms
(* (cosh x) (/ (sin y) y))
1.0ms
(cosh x)
4.0ms
(/ (sin y) y)

series143.0ms

Counts
3 → 9
Calls
3 calls:
71.0ms
(* (cosh x) (/ (sin y) y))
43.0ms
(cosh x)
29.0ms
(/ (sin y) y)

simplify38.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0291432
11116386
25002364

prune159.0ms

Filtered
78 candidates to 59 candidates (75.6%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New70878
Fresh000
Picked011
Done000
Total70979

Merged error: 0.0b

Counts
79 → 9

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(cosh x)
0.0b
(* (cosh x) (/ 1 (/ y (sin y))))
0.1b
(/ 1 (/ y (sin y)))
0.1b
(/ y (sin y))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
156×times-frac
104×add-sqr-sqrt
92×*-un-lft-identity
90×add-cube-cbrt
44×associate-*r*
36×add-exp-log
20×add-cbrt-cube
16×associate-/r*
15×div-exp
10×div-inv
7×pow1 cbrt-undiv prod-exp
6×associate-/l*
5×unswap-sqr
4×rec-exp 1-exp add-log-exp
3×cosh-def associate-*l* cbrt-unprod
2×frac-2neg clear-num associate-/r/
1×frac-times pow-flip associate-*r/ pow-prod-down associate-*l/ un-div-inv *-commutative inv-pow
Counts
4 → 186
Calls
4 calls:
1.0ms
(cosh x)
14.0ms
(* (cosh x) (/ 1 (/ y (sin y))))
6.0ms
(/ 1 (/ y (sin y)))
3.0ms
(/ y (sin y))

series162.0ms

Counts
4 → 12
Calls
4 calls:
42.0ms
(cosh x)
71.0ms
(* (cosh x) (/ 1 (/ y (sin y))))
24.0ms
(/ 1 (/ y (sin y)))
24.0ms
(/ y (sin y))

simplify80.0ms

Algorithm
egg-herbie
Counts
198 → 198
Iterations

Useful iterations: 2 (62.0ms)

IterNodesCost
06441361
130411186
250011053

prune407.0ms

Filtered
198 candidates to 123 candidates (62.1%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1953198
Fresh437
Picked011
Done011
Total1998207

Merged error: 0b

Counts
207 → 8

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt y) (cbrt y))
0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)

rewrite10.0ms

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:
5.0ms
(* (cbrt y) (cbrt y))
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series719.0ms

Counts
4 → 12
Calls
4 calls:
190.0ms
(* (cbrt y) (cbrt y))
180.0ms
(cbrt y)
176.0ms
(cbrt y)
173.0ms
(cbrt y)

simplify87.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (81.0ms)

IterNodesCost
0115288
1472261
22959238
35003235

prune205.0ms

Filtered
85 candidates to 64 candidates (75.3%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New85085
Fresh055
Picked011
Done022
Total85893

Merged error: 0b

Counts
93 → 8

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (sin y)) (cbrt (sin y)))
0.7b
(cbrt (sin y))
0.7b
(cbrt (sin y))
0.7b
(cbrt (sin y))

rewrite12.0ms

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 (sin y)) (cbrt (sin y)))
1.0ms
(cbrt (sin y))
1.0ms
(cbrt (sin y))
2.0ms
(cbrt (sin y))

series406.0ms

Counts
4 → 12
Calls
4 calls:
112.0ms
(* (cbrt (sin y)) (cbrt (sin y)))
96.0ms
(cbrt (sin y))
96.0ms
(cbrt (sin y))
102.0ms
(cbrt (sin y))

simplify221.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (215.0ms)

IterNodesCost
0154453
1551401
23082369
35002363

prune171.0ms

Filtered
85 candidates to 60 candidates (70.6%)
Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New85085
Fresh044
Picked011
Done033
Total85893

Merged error: 0b

Counts
93 → 8

regimes139.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
074
174

end0.0ms

sample2.3s

Algorithm
intervals
Results
892.0ms2942×body1280valid
458.0ms2481×body640valid
372.0ms8627×body80valid
174.0ms1308×body320valid
57.0ms636×body160valid

Profiling

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