Details

Time bar (total: 4.0s)

sample66.0ms

Algorithm
intervals
Results
19.0ms64×body1280valid
15.0ms340×body80valid
11.0ms56×body640valid
5.0ms34×body320valid
2.0ms23×body160valid

simplify47.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0154
1324
2684
31444
42784
55174
614554
750024

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: 12.4b

Counts
2 → 1

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(sinh y)
0.1b
(* (sin x) (sinh y))
12.4b
(/ (* (sin x) (sinh y)) x)

rewrite12.0ms

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)

series232.0ms

Counts
3 → 9
Calls
3 calls:
57.0ms
(sinh y)
82.0ms
(* (sin x) (sinh y))
92.0ms
(/ (* (sin x) (sinh y)) x)

simplify43.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0280320
11233272
25001255

prune113.0ms

Filtered
58 candidates to 43 candidates (74.1%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New51758
Fresh000
Picked011
Done000
Total51859

Merged error: 0b

Counts
59 → 8

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))

rewrite16.0ms

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)
10.0ms
(* (sin x) (/ (sinh y) x))

series226.0ms

Counts
3 → 9
Calls
3 calls:
59.0ms
(sinh y)
75.0ms
(/ (sinh y) x)
91.0ms
(* (sin x) (/ (sinh y) x))

simplify43.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0328433
11261387
25001385

prune140.0ms

Filtered
77 candidates to 58 candidates (75.3%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New77077
Fresh066
Picked011
Done011
Total77885

Merged error: 0b

Counts
85 → 8

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ x (sinh y))
0.0b
(sinh y)
0.6b
(/ (sin x) (/ x (sinh y)))

rewrite16.0ms

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:
4.0ms
(/ x (sinh y))
1.0ms
(sinh y)
6.0ms
(/ (sin x) (/ x (sinh y)))

series253.0ms

Counts
3 → 9
Calls
3 calls:
104.0ms
(/ x (sinh y))
59.0ms
(sinh y)
90.0ms
(/ (sin x) (/ x (sinh y)))

simplify61.0ms

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
0475938
11984886
25001865

prune236.0ms

Filtered
119 candidates to 99 candidates (83.2%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New1181119
Fresh145
Picked011
Done022
Total1198127

Merged error: 0b

Counts
127 → 8

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)

series173.0ms

Counts
3 → 9
Calls
3 calls:
58.0ms
(sinh y)
88.0ms
(* (/ (sin x) x) (sinh y))
27.0ms
(/ (sin x) x)

simplify38.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0311427
11229381
25001358

prune127.0ms

Filtered
78 candidates to 58 candidates (74.4%)
Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New78078
Fresh044
Picked011
Done033
Total78886

Merged error: 0b

Counts
86 → 8

regimes132.0ms

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

sample1.9s

Algorithm
intervals
Results
575.0ms1879×body1280valid
435.0ms10294×body80valid
392.0ms2020×body640valid
155.0ms1137×body320valid
60.0ms603×body160valid

Profiling

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