Details

Time bar (total: 3.9s)

analyze347.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
12.5%87.4%0.1%4
18.7%81.2%0.1%5
21.9%78%0.1%6
50%43.7%6.3%7
50%43.7%6.3%8
56.2%34.3%9.5%9
56.2%34.3%9.5%10
59.3%29.7%11%11
59.3%29.7%11%12
60.9%27.3%11.8%13
60.9%27.3%11.8%14

sample81.0ms

Algorithm
intervals
Results
17.0ms50×body1280valid
15.0ms48×body1280invalid
10.0ms141×body80valid
8.0ms42×body640valid
7.0ms34×body640invalid
4.0ms82×body80invalid
2.0ms15×body320invalid
2.0ms14×body320valid
1.0ms9×body160valid
1.0ms7×body160invalid

simplify38.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
049097
149097

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

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

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:
3.0ms
(/ (sinh y) y)
1.0ms
(sinh y)
7.0ms
(* (sin x) (/ (sinh y) y))

series41.0ms

Counts
3 → 9
Calls
3 calls:
13.0ms
(/ (sinh y) y)
8.0ms
(sinh y)
20.0ms
(* (sin x) (/ (sinh y) y))

simplify43.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
04972621
14972621

prune85.0ms

Filtered
61 candidates to 77 candidates (-26.2%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New72577
Fresh000
Picked101
Done000
Total73578

Merged error: 0.0b

Counts
78 → 5

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
54×sqrt-prod
48×add-sqr-sqrt
39×times-frac
35×add-cube-cbrt *-un-lft-identity
32×associate-*r*
13×pow1
11×add-exp-log add-cbrt-cube
7×sqrt-div
4×rem-sqrt-square associate-*r/ associate-*l* pow-prod-down prod-exp cbrt-unprod div-inv add-log-exp
3×unswap-sqr
2×sqrt-pow1 pow1/2 *-commutative
1×frac-times associate-*l/
Counts
4 → 118
Calls
4 calls:
3.0ms
(sqrt (/ (sinh y) y))
3.0ms
(sqrt (/ (sinh y) y))
8.0ms
(* (sin x) (sqrt (/ (sinh y) y)))
11.0ms
(* (* (sin x) (sqrt (/ (sinh y) y))) (sqrt (/ (sinh y) y)))

series119.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(sqrt (/ (sinh y) y))
18.0ms
(sqrt (/ (sinh y) y))
45.0ms
(* (sin x) (sqrt (/ (sinh y) y)))
37.0ms
(* (* (sin x) (sqrt (/ (sinh y) y))) (sqrt (/ (sinh y) y)))

simplify58.0ms

Algorithm
egg-herbie
Counts
130 → 130
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
050292160

prune212.0ms

Filtered
100 candidates to 130 candidates (-30.0%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1291130
Fresh044
Picked011
Done000
Total1296135

Merged error: 0b

Counts
135 → 6

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
27×add-exp-log
19×add-sqr-sqrt
17×add-cbrt-cube
14×associate-*r*
13×*-un-lft-identity prod-exp
12×add-cube-cbrt
11×times-frac
10×pow1
7×cbrt-unprod
6×associate-*r/ associate-*l*
5×sinh-def
4×div-exp pow-prod-down
3×add-log-exp unswap-sqr
2×cbrt-undiv frac-times rec-exp 1-exp associate-*l/ un-div-inv *-commutative
1×div-inv
Counts
3 → 72
Calls
3 calls:
1.0ms
(sinh y)
8.0ms
(* (sin x) (* (sinh y) (/ 1 y)))
7.0ms
(* (sinh y) (/ 1 y))

series40.0ms

Counts
3 → 9
Calls
3 calls:
7.0ms
(sinh y)
21.0ms
(* (sin x) (* (sinh y) (/ 1 y)))
11.0ms
(* (sinh y) (/ 1 y))

simplify44.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
05026539

prune77.0ms

Filtered
55 candidates to 81 candidates (-47.3%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New80181
Fresh224
Picked101
Done011
Total83487

Merged error: 0b

Counts
87 → 4

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(sinh y)
0.1b
(/ (sin x) y)
0.2b
(* (sinh y) (/ (sin x) y))

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×sinh-def associate-*l* 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)
3.0ms
(/ (sin x) y)
6.0ms
(* (sinh y) (/ (sin x) y))

series32.0ms

Counts
3 → 9
Calls
3 calls:
7.0ms
(sinh y)
6.0ms
(/ (sin x) y)
18.0ms
(* (sinh y) (/ (sin x) y))

simplify32.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 0 (26.0ms)

IterNodesCost
04981635
14981635

prune64.0ms

Filtered
61 candidates to 78 candidates (-27.9%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New78078
Fresh022
Picked011
Done011
Total78482

Merged error: 0b

Counts
82 → 4

regimes168.0ms

Accuracy

0% (0.0b 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
01014
11014

end0.0ms

sample2.3s

Algorithm
intervals
Results
511.0ms1459×body1280valid
426.0ms1404×body1280invalid
267.0ms1282×body640valid
250.0ms1241×body640invalid
220.0ms4324×body80valid
116.0ms2284×body80invalid
88.0ms616×body320valid
86.0ms602×body320invalid
40.0ms319×body160valid
32.0ms316×body160invalid

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