Details

Time bar (total: 3.6s)

analyze332.0ms

Algorithm
search

sample56.0ms

Algorithm
intervals
Results
14.0ms38×body1280invalid
8.0ms196×body80valid
6.0ms33×body640invalid
5.0ms24×body640valid
4.0ms12×body1280valid
2.0ms18×body320valid
2.0ms18×body320invalid
1.0ms27×body80invalid
1.0msbody160invalid
1.0msbody160valid

simplify77.0ms

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: 10.9b

Counts
2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(sinh y)
0.1b
(* (sin x) (sinh y))
10.9b
(/ (* (sin x) (sinh y)) x)

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
10×add-exp-log add-cbrt-cube
add-sqr-sqrt
add-cube-cbrt *-un-lft-identity
pow1
sinh-def times-frac associate-*r* associate-*l* associate-/r* add-log-exp
cbrt-undiv associate-*r/ div-exp prod-exp cbrt-unprod
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)

series43.0ms

Counts
3 → 9
Calls
3 calls:
7.0ms
(sinh y)
16.0ms
(* (sin x) (sinh y))
19.0ms
(/ (* (sin x) (sinh y)) x)

simplify38.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0280320
11233272
25001255

prune79.0ms

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

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New52658
Fresh000
Picked101
Done000
Total53659

Merged error: 0.0b

Counts
59 → 6

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
pow1
associate-*l* associate-/r* associate-/l* add-log-exp
cbrt-undiv sinh-def div-exp prod-exp cbrt-unprod div-inv unswap-sqr
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) x)
7.0ms
(* (sin x) (/ (sinh y) x))

series42.0ms

Counts
3 → 9
Calls
3 calls:
9.0ms
(sinh y)
13.0ms
(/ (sinh y) x)
19.0ms
(* (sin x) (/ (sinh y) x))

simplify39.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0328433
11261387
25001385

prune79.0ms

Filtered
59 candidates to 77 candidates (-30.5%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New76177
Fresh055
Picked011
Done000
Total76783

Merged error: 0b

Counts
83 → 7

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (/ (sinh y) x)) (cbrt (/ (sinh y) x)))
16.9b
(cbrt (/ (sinh y) x))
16.9b
(cbrt (/ (sinh y) x))
16.9b
(cbrt (/ (sinh y) x))

rewrite25.0ms

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
pow1/3 unswap-sqr
cbrt-div div-inv
add-exp-log
add-cbrt-cube add-log-exp
pow-prod-down pow-sqr pow-prod-up
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) x)) (cbrt (/ (sinh y) x)))
3.0ms
(cbrt (/ (sinh y) x))
2.0ms
(cbrt (/ (sinh y) x))
2.0ms
(cbrt (/ (sinh y) x))

series141.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(* (cbrt (/ (sinh y) x)) (cbrt (/ (sinh y) x)))
33.0ms
(cbrt (/ (sinh y) x))
31.0ms
(cbrt (/ (sinh y) x))
35.0ms
(cbrt (/ (sinh y) x))

simplify48.0ms

Algorithm
egg-herbie
Counts
156 → 156
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
03601505
111491424
250011343

prune161.0ms

Filtered
126 candidates to 156 candidates (-23.8%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1560156
Fresh055
Picked011
Done011
Total1567163

Merged error: 0b

Counts
163 → 7

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ x (sinh y))
0.0b
(sinh y)
1.1b
(/ (sin x) (/ x (sinh y)))

rewrite14.0ms

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
sinh-def associate-/r/ div-inv associate-/l*
cbrt-undiv div-exp
pow1 add-log-exp
frac-2neg clear-num
Counts
3 → 110
Calls
3 calls:
3.0ms
(/ x (sinh y))
1.0ms
(sinh y)
6.0ms
(/ (sin x) (/ x (sinh y)))

series52.0ms

Counts
3 → 9
Calls
3 calls:
22.0ms
(/ x (sinh y))
7.0ms
(sinh y)
22.0ms
(/ (sin x) (/ x (sinh y)))

simplify54.0ms

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0475938
11984886
25001865

prune98.0ms

Filtered
99 candidates to 119 candidates (-20.2%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1181119
Fresh134
Picked101
Done022
Total1206126

Merged error: 0b

Counts
126 → 6

regimes144.0ms

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

analyze337.0ms

Algorithm
search

sample1.7s

Algorithm
intervals
Results
424.0ms1426×body1280invalid
275.0ms6074×body80valid
227.0ms1148×body640invalid
155.0ms753×body640valid
123.0ms353×body1280valid
92.0ms637×body320invalid
72.0ms526×body320valid
32.0ms557×body80invalid
31.0ms294×body160valid
27.0ms283×body160invalid

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