Details

Time bar (total: 4.7s)

sample72.0ms

Algorithm
intervals
Results
23.0ms77×body1280valid
15.0ms336×body80valid
12.0ms61×body640valid
6.0ms44×body320valid
3.0ms28×body160valid

simplify75.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0154
1324
2684
31444
42784
55314
615434
749584
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: 16.2b

Counts
2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(sinh y)
0.1b
(* (sin x) (sinh y))
16.2b
(/ (* (sin x) (sinh y)) x)

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
10×add-exp-log add-cbrt-cube
9×add-sqr-sqrt
7×add-cube-cbrt *-un-lft-identity
5×pow1
3×sinh-def times-frac associate-*r* associate-*l* associate-/r* add-log-exp
2×cbrt-undiv associate-*r/ div-exp prod-exp cbrt-unprod
1×frac-2neg pow-prod-down clear-num *-commutative div-inv associate-/l/ associate-/l* unswap-sqr
Counts
3 → 49
Calls
3 calls:
1.0ms
(sinh y)
4.0ms
(* (sin x) (sinh y))
5.0ms
(/ (* (sin x) (sinh y)) x)

series249.0ms

Counts
3 → 9
Calls
3 calls:
54.0ms
(sinh y)
79.0ms
(* (sin x) (sinh y))
115.0ms
(/ (* (sin x) (sinh y)) x)

simplify40.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0280320
11233272
25001255

prune103.0ms

Filtered
58 candidates to 43 candidates (74.1%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New52658
Fresh000
Picked011
Done000
Total52759

Merged error: 0.0b

Counts
59 → 7

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(sinh y)
0.0b
(/ (sinh y) x)
0.4b
(* (sin x) (/ (sinh y) x))

rewrite15.0ms

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:
1.0ms
(sinh y)
6.0ms
(/ (sinh y) x)
7.0ms
(* (sin x) (/ (sinh y) x))

series210.0ms

Counts
3 → 9
Calls
3 calls:
55.0ms
(sinh y)
67.0ms
(/ (sinh y) x)
88.0ms
(* (sin x) (/ (sinh y) x))

simplify40.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0328433
11261387
25001385

prune131.0ms

Filtered
77 candidates to 59 candidates (76.6%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New76177
Fresh055
Picked011
Done011
Total76884

Merged error: 0b

Counts
84 → 8

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ x (sinh y))
0.0b
(sinh y)
0.9b
(/ (sin x) (/ x (sinh y)))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
87×times-frac
54×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
17×associate-/r*
10×add-exp-log add-cbrt-cube
6×sinh-def associate-/r/ div-inv associate-/l*
4×cbrt-undiv div-exp
3×pow1 add-log-exp
2×frac-2neg clear-num
Counts
3 → 110
Calls
3 calls:
3.0ms
(/ x (sinh y))
1.0ms
(sinh y)
6.0ms
(/ (sin x) (/ x (sinh y)))

series256.0ms

Counts
3 → 9
Calls
3 calls:
106.0ms
(/ x (sinh y))
62.0ms
(sinh y)
88.0ms
(/ (sin x) (/ x (sinh y)))

simplify63.0ms

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
0475938
11984886
25001865

prune222.0ms

Filtered
119 candidates to 98 candidates (82.4%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New1181119
Fresh235
Picked011
Done022
Total1207127

Merged error: 0b

Counts
127 → 7

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ x (sinh y))
0.0b
(sinh y)
0.5b
(/ (/ x (sinh y)) (sin x))
0.7b
(/ 1 (/ (/ x (sinh y)) (sin x)))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
501×times-frac
246×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
52×associate-/r*
32×add-exp-log
23×div-inv
20×add-cbrt-cube associate-/l*
19×div-exp
18×sinh-def associate-/r/
10×cbrt-undiv
5×pow1
4×add-log-exp
3×rec-exp frac-2neg 1-exp clear-num
1×pow-flip associate-/l/ inv-pow
Counts
4 → 322
Calls
4 calls:
3.0ms
(/ x (sinh y))
1.0ms
(sinh y)
6.0ms
(/ (/ x (sinh y)) (sin x))
12.0ms
(/ 1 (/ (/ x (sinh y)) (sin x)))

series397.0ms

Counts
4 → 12
Calls
4 calls:
100.0ms
(/ x (sinh y))
58.0ms
(sinh y)
149.0ms
(/ (/ x (sinh y)) (sin x))
90.0ms
(/ 1 (/ (/ x (sinh y)) (sin x)))

simplify64.0ms

Algorithm
egg-herbie
Counts
334 → 334
Iterations

Useful iterations: 1 (29.0ms)

IterNodesCost
012283678
150013293

prune574.0ms

Filtered
334 candidates to 237 candidates (71.0%)
Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New3340334
Fresh033
Picked011
Done033
Total3347341

Merged error: 0b

Counts
341 → 7

regimes118.0ms

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
074
174

end0.0ms

sample2.0s

Algorithm
intervals
Results
560.0ms1839×body1280valid
461.0ms10239×body80valid
400.0ms1976×body640valid
156.0ms1109×body320valid
66.0ms654×body160valid

Profiling

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