Details

Time bar (total: 4.1s)

analyze322.0ms

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
0%99.9%0.1%4
25%74.9%0.1%5
43.7%56.2%0.1%6
43.7%46.8%9.5%7
46.8%42.1%11%8
46.8%36.7%16.5%9
48.4%34%17.7%10
48.4%31%20.6%11
49.2%29.6%21.3%12
49.2%28%22.8%13
49.6%27.3%23.1%14

sample65.0ms

Algorithm
intervals
Results
13.0ms45×body1280invalid
12.0ms196×body80valid
9.0ms43×body640invalid
6.0ms27×body640valid
5.0ms14×body1280valid
4.0ms26×body320invalid
2.0ms12×body320valid
1.0ms11×body160invalid
1.0ms14×body80invalid
1.0ms7×body160valid

simplify107.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0154
1324
2684
31444
42784
55314
615434
749584
850014

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 14.2b

Counts
2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(sinh y)
0.1b
(* (sin x) (sinh y))
14.2b
(/ (* (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)

series160.0ms

Counts
3 → 9
Calls
3 calls:
12.0ms
(sinh y)
21.0ms
(* (sin x) (sinh y))
127.0ms
(/ (* (sin x) (sinh y)) x)

simplify40.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0280320
11233272
25001255

prune115.0ms

Filtered
43 candidates to 58 candidates (-34.9%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New50858
Fresh000
Picked011
Done000
Total50959

Merged error: 0b

Counts
59 → 9

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(sinh y)
0.0b
(/ (sinh y) x)
0.4b
(* (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)
4.0ms
(/ (sinh y) x)
9.0ms
(* (sin x) (/ (sinh y) x))

series45.0ms

Counts
3 → 9
Calls
3 calls:
8.0ms
(sinh y)
17.0ms
(/ (sinh y) x)
20.0ms
(* (sin x) (/ (sinh y) x))

simplify43.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0328433
11261387
25001385

prune81.0ms

Filtered
58 candidates to 77 candidates (-32.8%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New77077
Fresh077
Picked011
Done011
Total77986

Merged error: 0b

Counts
86 → 9

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(sinh y)
0.0b
(/ x (sinh y))
0.8b
(/ (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:
1.0ms
(sinh y)
3.0ms
(/ x (sinh y))
6.0ms
(/ (sin x) (/ x (sinh y)))

series52.0ms

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

simplify55.0ms

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0475938
11984886
25001865

prune114.0ms

Filtered
98 candidates to 119 candidates (-21.4%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1172119
Fresh336
Picked101
Done022
Total1217128

Merged error: 0b

Counts
128 → 7

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)
7.0ms
(* (/ (sin x) x) (sinh y))
4.0ms
(/ (sin x) x)

series37.0ms

Counts
3 → 9
Calls
3 calls:
8.0ms
(sinh y)
25.0ms
(* (/ (sin x) x) (sinh y))
4.0ms
(/ (sin x) x)

simplify39.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0311427
11229381
25002358

prune90.0ms

Filtered
58 candidates to 78 candidates (-34.5%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New77178
Fresh134
Picked011
Done022
Total78785

Merged error: 0b

Counts
85 → 7

regimes217.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
074
174

end0.0ms

analyze329.0ms

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
0%99.9%0.1%4
25%74.9%0.1%5
43.7%56.2%0.1%6
43.7%46.8%9.5%7
46.8%42.1%11%8
46.8%36.7%16.5%9
48.4%34%17.7%10
48.4%31%20.6%11
49.2%29.6%21.3%12
49.2%28%22.8%13
49.6%27.3%23.1%14

sample2.1s

Algorithm
intervals
Results
495.0ms6066×body80valid
475.0ms1522×body1280invalid
270.0ms1290×body640invalid
179.0ms787×body640valid
140.0ms362×body1280valid
96.0ms664×body320invalid
76.0ms523×body320valid
31.0ms299×body160invalid
30.0ms513×body80invalid
27.0ms262×body160valid

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