Details

Time bar (total: 4.4s)

sample59.0ms

Algorithm
intervals
Results
16.0ms48×body1280valid
13.0ms317×body80valid
11.0ms60×body640valid
4.0ms28×body320valid
2.0ms27×body160valid

simplify81.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

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: 14.9b

Counts
2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(sinh y)
0.1b
(* (sin x) (sinh y))
14.9b
(/ (* (sin x) (sinh y)) x)

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
10×add-exp-log add-cbrt-cube
add-sqr-sqrt
add-cube-cbrt *-un-lft-identity
pow1
sinh-def times-frac associate-*r* associate-*l* associate-/r* add-log-exp
cbrt-undiv associate-*r/ div-exp prod-exp cbrt-unprod
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)
5.0ms
(* (sin x) (sinh y))
5.0ms
(/ (* (sin x) (sinh y)) x)

series246.0ms

Counts
3 → 9
Calls
3 calls:
65.0ms
(sinh y)
86.0ms
(* (sin x) (sinh y))
95.0ms
(/ (* (sin x) (sinh y)) x)

simplify38.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0280320
11233272
25001255

prune120.0ms

Filtered
58 candidates to 43 candidates (74.1%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New50858
Fresh000
Picked101
Done000
Total51859

Merged error: 0.0b

Counts
59 → 8

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (sinh y) x)
0.0b
(sinh y)
0.2b
(* (sin x) (/ (sinh y) x))

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
pow1
associate-*l* associate-/r* associate-/l* add-log-exp
cbrt-undiv sinh-def div-exp prod-exp cbrt-unprod div-inv unswap-sqr
frac-2neg associate-*r/ pow-prod-down clear-num *-commutative associate-/l/
Counts
3 → 68
Calls
3 calls:
3.0ms
(/ (sinh y) x)
1.0ms
(sinh y)
7.0ms
(* (sin x) (/ (sinh y) x))

series236.0ms

Counts
3 → 9
Calls
3 calls:
75.0ms
(/ (sinh y) x)
64.0ms
(sinh y)
96.0ms
(* (sin x) (/ (sinh y) x))

simplify41.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0328433
11261387
25001385

prune155.0ms

Filtered
77 candidates to 59 candidates (76.6%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New75277
Fresh167
Picked101
Done000
Total77885

Merged error: 0b

Counts
85 → 8

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ x (sinh y))
0.0b
(sinh y)
0.4b
(/ (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
sinh-def associate-/r/ div-inv associate-/l*
cbrt-undiv div-exp
pow1 add-log-exp
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)))

series272.0ms

Counts
3 → 9
Calls
3 calls:
113.0ms
(/ x (sinh y))
57.0ms
(sinh y)
101.0ms
(/ (sin x) (/ x (sinh y)))

simplify58.0ms

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0475938
11984886
25001865

prune249.0ms

Filtered
119 candidates to 99 candidates (83.2%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1163119
Fresh437
Picked011
Done000
Total1207127

Merged error: 0b

Counts
127 → 7

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(sinh y)
0.0b
(/ 1 (sinh y))
0.2b
(/ (sin x) x)
0.2b
(/ (/ (sin x) x) (/ 1 (sinh y)))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
461×times-frac
223×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
32×add-exp-log div-inv
20×associate-/r* add-cbrt-cube
19×div-exp associate-/l*
16×sinh-def associate-/r/
10×cbrt-undiv
pow1
add-log-exp
rec-exp frac-2neg 1-exp clear-num
pow-flip associate-/l/ inv-pow
Counts
4 → 300
Calls
4 calls:
1.0ms
(sinh y)
3.0ms
(/ 1 (sinh y))
4.0ms
(/ (sin x) x)
15.0ms
(/ (/ (sin x) x) (/ 1 (sinh y)))

series261.0ms

Counts
4 → 12
Calls
4 calls:
65.0ms
(sinh y)
72.0ms
(/ 1 (sinh y))
28.0ms
(/ (sin x) x)
96.0ms
(/ (/ (sin x) x) (/ 1 (sinh y)))

simplify70.0ms

Algorithm
egg-herbie
Counts
312 → 312
Iterations

Useful iterations: 1 (34.0ms)

IterNodesCost
014053454
150013122

prune512.0ms

Filtered
312 candidates to 196 candidates (62.8%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New3120312
Fresh055
Picked011
Done011
Total3127319

Merged error: 0b

Counts
319 → 7

regimes80.0ms

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
0105
1105

end0.0ms

sample1.9s

Algorithm
intervals
Results
527.0ms1796×body1280valid
441.0ms10280×body80valid
369.0ms1877×body640valid
153.0ms1107×body320valid
59.0ms598×body160valid

Profiling

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