Details

Time bar (total: 3.9s)

analyze313.0ms

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

sample75.0ms

Algorithm
intervals
Results
16.0ms47×body1280valid
14.0ms49×body1280invalid
7.0ms39×body640invalid
7.0ms38×body640valid
7.0ms140×body80valid
4.0ms71×body80invalid
3.0ms22×body320valid
2.0ms16×body320invalid
1.0ms10×body160invalid
1.0ms9×body160valid

simplify46.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
052777

prune7.0ms

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)
0.0b
(/ (sinh y) 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:
1.0ms
(sinh y)
3.0ms
(/ (sinh y) y)
7.0ms
(* (sin x) (/ (sinh y) y))

series39.0ms

Counts
3 → 9
Calls
3 calls:
7.0ms
(sinh y)
11.0ms
(/ (sinh y) y)
20.0ms
(* (sin x) (/ (sinh y) y))

simplify35.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 0 (30.0ms)

IterNodesCost
05063585

prune90.0ms

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

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New74377
Fresh000
Picked101
Done000
Total75378

Merged error: 0b

Counts
78 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (cbrt (/ (sinh y) y)) (cbrt (/ (sinh y) y)))
0.0b
(cbrt (/ (sinh y) y))
0.0b
(cbrt (/ (sinh y) y))
0.0b
(cbrt (/ (sinh y) y))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
103×cbrt-prod
81×add-sqr-sqrt
69×times-frac
57×add-cube-cbrt *-un-lft-identity
16×swap-sqr associate-*r* associate-*l*
11×pow1
9×pow1/3 unswap-sqr
7×cbrt-div div-inv
6×add-exp-log
4×add-cbrt-cube add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*r/ associate-*l/ prod-exp *-commutative cbrt-unprod
Counts
4 → 144
Calls
4 calls:
12.0ms
(* (cbrt (/ (sinh y) y)) (cbrt (/ (sinh y) y)))
3.0ms
(cbrt (/ (sinh y) y))
2.0ms
(cbrt (/ (sinh y) y))
2.0ms
(cbrt (/ (sinh y) y))

series156.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(* (cbrt (/ (sinh y) y)) (cbrt (/ (sinh y) y)))
38.0ms
(cbrt (/ (sinh y) y))
35.0ms
(cbrt (/ (sinh y) y))
39.0ms
(cbrt (/ (sinh y) y))

simplify89.0ms

Algorithm
egg-herbie
Counts
156 → 156
Iterations

Useful iterations: 0 (75.0ms)

IterNodesCost
049521689
149521689

prune187.0ms

Filtered
118 candidates to 156 candidates (-32.2%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1560156
Fresh022
Picked011
Done000
Total1563159

Merged error: 0b

Counts
159 → 3

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)) y)

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)) y)

series43.0ms

Counts
3 → 9
Calls
3 calls:
7.0ms
(sinh y)
16.0ms
(* (sin x) (sinh y))
20.0ms
(/ (* (sin x) (sinh y)) y)

simplify34.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 0 (29.0ms)

IterNodesCost
05079407

prune58.0ms

Filtered
41 candidates to 58 candidates (-41.5%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New57158
Fresh101
Picked011
Done011
Total58361

Merged error: 0b

Counts
61 → 3

localize6.0ms

Local error

Found 3 expressions with local error:

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

rewrite17.0ms

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:
8.0ms
(/ (sin x) (/ y (sinh y)))
1.0ms
(sinh y)
3.0ms
(/ y (sinh y))

series43.0ms

Counts
3 → 9
Calls
3 calls:
19.0ms
(/ (sin x) (/ y (sinh y)))
8.0ms
(sinh y)
16.0ms
(/ y (sinh y))

simplify53.0ms

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
050051375

prune113.0ms

Filtered
101 candidates to 119 candidates (-17.8%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1190119
Fresh000
Picked011
Done022
Total1193122

Merged error: 0b

Counts
122 → 3

regimes150.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0247
1247

end0.0ms

sample2.3s

Algorithm
intervals
Results
489.0ms1493×body1280valid
438.0ms1486×body1280invalid
259.0ms1283×body640valid
231.0ms1178×body640invalid
215.0ms4300×body80valid
127.0ms2387×body80invalid
84.0ms600×body320valid
82.0ms599×body320invalid
31.0ms324×body160valid
28.0ms288×body160invalid

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