Details

Time bar (total: 4.9s)

sample76.0ms

Algorithm
intervals
Results
28.0ms94×body1280valid
15.0ms79×body640valid
12.0ms284×body80valid
6.0ms42×body320valid
1.0ms13×body160valid

simplify91.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0154
1284
2564
3984
41434
53104
68774
717814
849894
950014

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

localize16.0ms

Local error

Found 2 expressions with local error:

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

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt
19×times-frac
18×add-cube-cbrt *-un-lft-identity
13×associate-*r*
9×add-exp-log add-cbrt-cube
4×pow1
3×associate-*l* associate-/r* associate-/l*
2×cbrt-undiv cosh-def div-exp prod-exp cbrt-unprod div-inv add-log-exp unswap-sqr
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative
Counts
2 → 61
Calls
2 calls:
12.0ms
(* (cosh x) (/ (sin y) y))
7.0ms
(/ (sin y) y)

series112.0ms

Counts
2 → 6
Calls
2 calls:
74.0ms
(* (cosh x) (/ (sin y) y))
38.0ms
(/ (sin y) y)

simplify37.0ms

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0264392
11058349
25002337

prune129.0ms

Filtered
67 candidates to 50 candidates (74.6%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New61667
Fresh000
Picked011
Done000
Total61768

Merged error: 0.0b

Counts
68 → 7

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (cosh x) (* (sin y) (/ 1 y)))
0.3b
(* (sin y) (/ 1 y))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
26×add-exp-log
18×add-sqr-sqrt
16×add-cbrt-cube
14×associate-*r*
13×prod-exp
12×*-un-lft-identity
11×add-cube-cbrt times-frac
9×pow1
7×cbrt-unprod
6×associate-*l*
5×associate-*r/
4×div-exp pow-prod-down
3×cosh-def un-div-inv unswap-sqr
2×cbrt-undiv frac-times rec-exp 1-exp *-commutative add-log-exp
1×associate-*l/ div-inv
Counts
2 → 63
Calls
2 calls:
8.0ms
(* (cosh x) (* (sin y) (/ 1 y)))
8.0ms
(* (sin y) (/ 1 y))

series97.0ms

Counts
2 → 6
Calls
2 calls:
69.0ms
(* (cosh x) (* (sin y) (/ 1 y)))
28.0ms
(* (sin y) (/ 1 y))

simplify46.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0334408
11429326
25001297

prune101.0ms

Filtered
69 candidates to 43 candidates (62.3%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New69069
Fresh055
Picked011
Done011
Total69776

Merged error: 0.0b

Counts
76 → 7

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (cosh x) (/ 1 (/ y (sin y))))
0.1b
(/ y (sin y))
0.4b
(/ 1 (/ y (sin y)))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
156×times-frac
103×add-sqr-sqrt
91×*-un-lft-identity
89×add-cube-cbrt
44×associate-*r*
35×add-exp-log
19×add-cbrt-cube
16×associate-/r*
15×div-exp
10×div-inv
7×cbrt-undiv prod-exp
6×pow1 associate-/l*
5×unswap-sqr
4×rec-exp 1-exp
3×associate-*l* cbrt-unprod add-log-exp
2×cosh-def 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
3 → 178
Calls
3 calls:
15.0ms
(* (cosh x) (/ 1 (/ y (sin y))))
3.0ms
(/ y (sin y))
6.0ms
(/ 1 (/ y (sin y)))

series121.0ms

Counts
3 → 9
Calls
3 calls:
75.0ms
(* (cosh x) (/ 1 (/ y (sin y))))
21.0ms
(/ y (sin y))
25.0ms
(/ 1 (/ y (sin y)))

simplify77.0ms

Algorithm
egg-herbie
Counts
187 → 187
Iterations

Useful iterations: 2 (64.0ms)

IterNodesCost
06171319
129861147
250011024

prune287.0ms

Filtered
187 candidates to 114 candidates (61.0%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New1861187
Fresh044
Picked011
Done022
Total1868194

Merged error: 0.0b

Counts
194 → 8

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y)))
0.3b
(cbrt (/ (sin y) y))
0.3b
(cbrt (/ (sin y) y))
0.3b
(cbrt (/ (sin y) y))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
103×cbrt-prod
81×add-sqr-sqrt
69×times-frac
57×add-cube-cbrt *-un-lft-identity
16×swap-sqr associate-*r* associate-*l*
11×pow1
9×pow1/3 unswap-sqr
7×cbrt-div div-inv
6×add-exp-log
4×add-cbrt-cube add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*r/ associate-*l/ prod-exp *-commutative cbrt-unprod
Counts
4 → 144
Calls
4 calls:
13.0ms
(* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y)))
2.0ms
(cbrt (/ (sin y) y))
2.0ms
(cbrt (/ (sin y) y))
2.0ms
(cbrt (/ (sin y) y))

series563.0ms

Counts
4 → 12
Calls
4 calls:
168.0ms
(* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y)))
132.0ms
(cbrt (/ (sin y) y))
126.0ms
(cbrt (/ (sin y) y))
137.0ms
(cbrt (/ (sin y) y))

simplify46.0ms

Algorithm
egg-herbie
Counts
156 → 156
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
02961415
19901364
250011289

prune415.0ms

Filtered
156 candidates to 126 candidates (80.8%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New1551156
Fresh044
Picked101
Done033
Total1568164

Merged error: 0b

Counts
164 → 8

regimes148.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
074
174

end0.0ms

sample2.4s

Algorithm
intervals
Results
919.0ms2929×body1280valid
481.0ms2443×body640valid
394.0ms8656×body80valid
188.0ms1319×body320valid
56.0ms603×body160valid

Profiling

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