Details

Time bar (total: 3.7s)

analyze330.0ms

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

sample59.0ms

Algorithm
intervals
Results
14.0ms49×body1280invalid
9.0ms46×body640invalid
9.0ms195×body80valid
5.0ms15×body1280valid
4.0ms20×body640valid
3.0ms19×body320invalid
2.0ms13×body320valid
1.0ms23×body80invalid
1.0ms13×body160valid
1.0ms12×body160invalid

simplify34.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (32.0ms)

IterNodesCost
07567
17567

prune9.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 2

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt
19×times-frac
18×add-cube-cbrt *-un-lft-identity
13×associate-*r*
9×add-exp-log add-cbrt-cube
4×pow1
3×associate-*l* associate-/r* associate-/l*
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv add-log-exp unswap-sqr
1×sinh-def frac-2neg associate-*r/ pow-prod-down clear-num *-commutative associate-/l/
Counts
2 → 60
Calls
2 calls:
3.0ms
(/ (sinh y) x)
6.0ms
(* (sin x) (/ (sinh y) x))

series213.0ms

Counts
2 → 6
Calls
2 calls:
13.0ms
(/ (sinh y) x)
200.0ms
(* (sin x) (/ (sinh y) x))

simplify48.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
04954566
14954566

prune82.0ms

Filtered
52 candidates to 66 candidates (-26.9%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New59766
Fresh011
Picked011
Done000
Total59968

Merged error: 0b

Counts
68 → 9

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ x (sinh y))
0.2b
(* (sin x) (/ 1 (/ x (sinh y))))
0.6b
(/ 1 (/ x (sinh y)))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
162×times-frac
105×add-sqr-sqrt
93×*-un-lft-identity
91×add-cube-cbrt
47×associate-*r*
35×add-exp-log
19×add-cbrt-cube
17×associate-/r*
15×div-exp
10×associate-/r/ div-inv
8×sinh-def
7×cbrt-undiv prod-exp
6×pow1 associate-/l*
5×unswap-sqr
4×rec-exp 1-exp
3×associate-*l* cbrt-unprod add-log-exp
2×frac-2neg clear-num
1×pow-flip associate-*r/ pow-prod-down un-div-inv *-commutative inv-pow
Counts
3 → 184
Calls
3 calls:
4.0ms
(/ x (sinh y))
18.0ms
(* (sin x) (/ 1 (/ x (sinh y))))
6.0ms
(/ 1 (/ x (sinh y)))

series56.0ms

Counts
3 → 9
Calls
3 calls:
22.0ms
(/ x (sinh y))
19.0ms
(* (sin x) (/ 1 (/ x (sinh y))))
15.0ms
(/ 1 (/ x (sinh y)))

simplify67.0ms

Algorithm
egg-herbie
Counts
193 → 193
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
049861847
149861847

prune168.0ms

Filtered
132 candidates to 193 candidates (-46.2%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1912193
Fresh347
Picked101
Done011
Total1957202

Merged error: 0b

Counts
202 → 7

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt
19×times-frac
18×add-cube-cbrt *-un-lft-identity
13×associate-*l*
9×add-exp-log add-cbrt-cube
4×pow1
3×associate-*r* associate-/r* associate-/l*
2×cbrt-undiv sinh-def div-exp prod-exp cbrt-unprod div-inv add-log-exp unswap-sqr
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative
Counts
2 → 61
Calls
2 calls:
6.0ms
(* (/ (sin x) x) (sinh y))
4.0ms
(/ (sin x) x)

series23.0ms

Counts
2 → 6
Calls
2 calls:
19.0ms
(* (/ (sin x) x) (sinh y))
4.0ms
(/ (sin x) x)

simplify59.0ms

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 0 (53.0ms)

IterNodesCost
04943561
14943561

prune65.0ms

Filtered
51 candidates to 67 candidates (-31.4%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New66167
Fresh145
Picked101
Done011
Total68674

Merged error: 0b

Counts
74 → 6

localize8.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (* (sin x) (/ 1 x)) (sinh y))
0.3b
(* (sin x) (/ 1 x))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
26×add-exp-log
18×add-sqr-sqrt
16×associate-*r* add-cbrt-cube
13×prod-exp
12×*-un-lft-identity
11×add-cube-cbrt times-frac
9×pow1
7×cbrt-unprod
4×associate-*r/ div-exp associate-*l* pow-prod-down
3×sinh-def un-div-inv unswap-sqr
2×cbrt-undiv frac-times rec-exp 1-exp associate-*l/ *-commutative add-log-exp
1×div-inv
Counts
2 → 63
Calls
2 calls:
9.0ms
(* (* (sin x) (/ 1 x)) (sinh y))
7.0ms
(* (sin x) (/ 1 x))

series22.0ms

Counts
2 → 6
Calls
2 calls:
18.0ms
(* (* (sin x) (/ 1 x)) (sinh y))
4.0ms
(* (sin x) (/ 1 x))

simplify46.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
05151500

prune50.0ms

Filtered
43 candidates to 69 candidates (-60.5%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New69069
Fresh044
Picked011
Done011
Total69675

Merged error: 0b

Counts
75 → 6

regimes138.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
177

end0.0ms

analyze330.0ms

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

sample1.8s

Algorithm
intervals
Results
456.0ms1528×body1280invalid
278.0ms6017×body80valid
264.0ms1275×body640invalid
165.0ms784×body640valid
140.0ms396×body1280valid
90.0ms611×body320invalid
71.0ms513×body320valid
35.0ms548×body80invalid
32.0ms290×body160valid
32.0ms324×body160invalid

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