Details

Time bar (total: 4.3s)

sample65.0ms

Algorithm
intervals
Results
18.0ms64×body1280valid
14.0ms340×body80valid
13.0ms56×body640valid
5.0ms34×body320valid
2.0ms23×body160valid

simplify53.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0154
1324
2684
31464
42924
55564
615434
750014

prune3.0ms

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)

rewrite20.0ms

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×expm1-log1p-u sinh-def times-frac associate-*r* associate-*l* associate-/r* log1p-expm1-u 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 → 55
Calls
3 calls:
2.0ms
(sinh y)
7.0ms
(* (sin x) (sinh y))
9.0ms
(/ (* (sin x) (sinh y)) x)

series275.0ms

Counts
3 → 9
Calls
3 calls:
63.0ms
(sinh y)
85.0ms
(* (sin x) (sinh y))
127.0ms
(/ (* (sin x) (sinh y)) x)

simplify38.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0292340
11273291
25001273

prune128.0ms

Filtered
64 candidates to 49 candidates (76.6%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New57764
Fresh000
Picked011
Done000
Total57865

Merged error: 0b

Counts
65 → 8

localize6.0ms

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×expm1-log1p-u associate-*l* associate-/r* log1p-expm1-u 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 → 74
Calls
3 calls:
1.0ms
(sinh y)
3.0ms
(/ (sinh y) x)
7.0ms
(* (sin x) (/ (sinh y) x))

series230.0ms

Counts
3 → 9
Calls
3 calls:
62.0ms
(sinh y)
74.0ms
(/ (sinh y) x)
94.0ms
(* (sin x) (/ (sinh y) x))

simplify40.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0342450
11303402
25001400

prune149.0ms

Filtered
83 candidates to 64 candidates (77.1%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New83083
Fresh066
Picked011
Done011
Total83891

Merged error: 0b

Counts
91 → 8

localize6.0ms

Local error

Found 3 expressions with local error:

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

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 expm1-log1p-u log1p-expm1-u add-log-exp
2×frac-2neg clear-num
Counts
3 → 116
Calls
3 calls:
3.0ms
(/ x (sinh y))
1.0ms
(sinh y)
6.0ms
(/ (sin x) (/ x (sinh y)))

series454.0ms

Counts
3 → 9
Calls
3 calls:
124.0ms
(/ x (sinh y))
236.0ms
(sinh y)
93.0ms
(/ (sin x) (/ x (sinh y)))

simplify73.0ms

Algorithm
egg-herbie
Counts
125 → 125
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
0488956
12017903
25001882

prune240.0ms

Filtered
125 candidates to 105 candidates (84.0%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New1241125
Fresh145
Picked011
Done022
Total1258133

Merged error: 0b

Counts
133 → 8

localize6.0ms

Local error

Found 3 expressions with local error:

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

rewrite16.0ms

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×expm1-log1p-u sinh-def associate-*r* associate-/r* log1p-expm1-u 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 → 75
Calls
3 calls:
1.0ms
(sinh y)
6.0ms
(* (/ (sin x) x) (sinh y))
6.0ms
(/ (sin x) x)

series201.0ms

Counts
3 → 9
Calls
3 calls:
62.0ms
(sinh y)
105.0ms
(* (/ (sin x) x) (sinh y))
33.0ms
(/ (sin x) x)

simplify42.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0323445
11263397
25001374

prune142.0ms

Filtered
84 candidates to 64 candidates (76.2%)
Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New84084
Fresh044
Picked011
Done033
Total84892

Merged error: 0b

Counts
92 → 8

regimes128.0ms

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
554.0ms1879×body1280valid
446.0ms10294×body80valid
389.0ms2020×body640valid
155.0ms1137×body320valid
55.0ms603×body160valid

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