Details

Time bar (total: 3.2s)

sample71.0ms

Algorithm
intervals
Results
16.0ms54×body1280valid
15.0ms338×body80valid
14.0ms71×body640valid
5.0ms36×body320valid
2.0ms24×body160valid

simplify76.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0154
1324
2684
31444
42784
55314
615434
749584
850014

prune3.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 15.1b

Counts
2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(sinh y)
0.1b
(* (sin x) (sinh y))
15.1b
(/ (* (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)

series49.0ms

Counts
3 → 9
Calls
3 calls:
8.0ms
(sinh y)
17.0ms
(* (sin x) (sinh y))
24.0ms
(/ (* (sin x) (sinh y)) x)

simplify37.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0280320
11233272
25001255

prune81.0ms

Filtered
58 candidates to 43 candidates (25.9%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New51758
Fresh000
Picked101
Done000
Total52759

Merged error: 0b

Counts
59 → 7

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(sinh y)
0.0b
(/ (sinh y) x)
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
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)
3.0ms
(/ (sinh y) x)
7.0ms
(* (sin x) (/ (sinh y) x))

series44.0ms

Counts
3 → 9
Calls
3 calls:
8.0ms
(sinh y)
14.0ms
(/ (sinh y) x)
22.0ms
(* (sin x) (/ (sinh y) x))

simplify39.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0328433
11261387
25001385

prune78.0ms

Filtered
77 candidates to 57 candidates (26.0%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New77077
Fresh066
Picked011
Done000
Total77784

Merged error: 0b

Counts
84 → 7

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ x (sinh y))
0.0b
(sinh y)
0.7b
(/ (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)))

series52.0ms

Counts
3 → 9
Calls
3 calls:
22.0ms
(/ x (sinh y))
8.0ms
(sinh y)
22.0ms
(/ (sin x) (/ x (sinh y)))

simplify57.0ms

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0475938
11984886
25001865

prune109.0ms

Filtered
119 candidates to 98 candidates (17.6%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1181119
Fresh235
Picked011
Done011
Total1206126

Merged error: 0b

Counts
126 → 6

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
19×add-cube-cbrt *-un-lft-identity times-frac
13×associate-*l*
10×add-exp-log add-cbrt-cube
5×pow1
3×sinh-def associate-*r* 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:
1.0ms
(sinh y)
6.0ms
(* (/ (sin x) x) (sinh y))
4.0ms
(/ (sin x) x)

series34.0ms

Counts
3 → 9
Calls
3 calls:
10.0ms
(sinh y)
20.0ms
(* (/ (sin x) x) (sinh y))
4.0ms
(/ (sin x) x)

simplify42.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0311427
11229381
25002358

prune63.0ms

Filtered
78 candidates to 59 candidates (24.4%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New78078
Fresh033
Picked011
Done022
Total78684

Merged error: 0b

Counts
84 → 6

regimes150.0ms

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

sample2.2s

Algorithm
intervals
Results
596.0ms1874×body1280valid
483.0ms10290×body80valid
393.0ms1900×body640valid
157.0ms1076×body320valid
61.0ms613×body160valid

Profiling

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