Details

Time bar (total: 4.3s)

sample58.0ms

Algorithm
intervals
Results
16.0ms56×body1280valid
12.0ms57×body640valid
12.0ms313×body80valid
4.0ms32×body320valid
2.0ms18×body160valid

simplify44.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0154
1324
2684
31444
42784
55174
614554
750024

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
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 2 expressions with local error:

0.1b
(* (sin x) (sinh y))
14.1b
(/ (* (sin x) (sinh y)) x)

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
9×add-exp-log add-cbrt-cube
8×add-sqr-sqrt
6×add-cube-cbrt *-un-lft-identity
4×pow1
3×times-frac associate-*r* associate-*l* associate-/r*
2×cbrt-undiv sinh-def associate-*r/ div-exp prod-exp cbrt-unprod add-log-exp
1×frac-2neg pow-prod-down clear-num *-commutative div-inv associate-/l/ associate-/l* unswap-sqr
Counts
2 → 41
Calls
2 calls:
4.0ms
(* (sin x) (sinh y))
5.0ms
(/ (* (sin x) (sinh y)) x)

series171.0ms

Counts
2 → 6
Calls
2 calls:
81.0ms
(* (sin x) (sinh y))
91.0ms
(/ (* (sin x) (sinh y)) x)

simplify35.0ms

Algorithm
egg-herbie
Counts
47 → 47
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0263280
11202235
25001218

prune94.0ms

Filtered
47 candidates to 33 candidates (70.2%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New40747
Fresh000
Picked101
Done000
Total41748

Merged error: 0.0b

Counts
48 → 7

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite15.0ms

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)
9.0ms
(* (sin x) (/ (sinh y) x))

series162.0ms

Counts
2 → 6
Calls
2 calls:
71.0ms
(/ (sinh y) x)
91.0ms
(* (sin x) (/ (sinh y) x))

simplify38.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0312393
11238350
25001332

prune125.0ms

Filtered
66 candidates to 49 candidates (74.2%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New65166
Fresh066
Picked011
Done000
Total65873

Merged error: 0b

Counts
73 → 8

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (sinh y))
0.6b
(/ (sin x) (/ x (sinh y)))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
87×times-frac
53×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
17×associate-/r*
9×add-exp-log add-cbrt-cube
6×associate-/r/ div-inv associate-/l*
5×sinh-def
4×cbrt-undiv div-exp
2×pow1 frac-2neg clear-num add-log-exp
Counts
2 → 102
Calls
2 calls:
3.0ms
(/ x (sinh y))
6.0ms
(/ (sin x) (/ x (sinh y)))

series192.0ms

Counts
2 → 6
Calls
2 calls:
102.0ms
(/ x (sinh y))
89.0ms
(/ (sin x) (/ x (sinh y)))

simplify53.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0456898
11951849
25002827

prune230.0ms

Filtered
108 candidates to 88 candidates (81.5%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1062108
Fresh426
Picked011
Done011
Total1106116

Merged error: 0b

Counts
116 → 6

localize12.0ms

Local error

Found 4 expressions with local error:

0.9b
(/ 1 (* (cbrt (/ x (sinh y))) (cbrt (/ x (sinh y)))))
15.5b
(cbrt (/ x (sinh y)))
15.5b
(cbrt (/ x (sinh y)))
15.5b
(cbrt (/ x (sinh y)))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
42×cbrt-prod
30×times-frac
27×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
15×add-exp-log
12×pow1
9×pow-flip pow1/3
7×cbrt-div add-cbrt-cube
6×associate-/r/
4×div-exp div-inv add-log-exp
3×sinh-def prod-exp associate-/l*
2×cbrt-undiv rec-exp 1-exp pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times frac-2neg pow-plus associate-*r/ associate-*l/ clear-num associate-/r* cbrt-unprod inv-pow
Counts
4 → 107
Calls
4 calls:
10.0ms
(/ 1 (* (cbrt (/ x (sinh y))) (cbrt (/ x (sinh y)))))
3.0ms
(cbrt (/ x (sinh y)))
3.0ms
(cbrt (/ x (sinh y)))
3.0ms
(cbrt (/ x (sinh y)))

series798.0ms

Counts
4 → 12
Calls
4 calls:
211.0ms
(/ 1 (* (cbrt (/ x (sinh y))) (cbrt (/ x (sinh y)))))
196.0ms
(cbrt (/ x (sinh y)))
193.0ms
(cbrt (/ x (sinh y)))
198.0ms
(cbrt (/ x (sinh y)))

simplify39.0ms

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0360956
11080870
25001814

prune308.0ms

Filtered
119 candidates to 91 candidates (76.5%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New1190119
Fresh033
Picked011
Done022
Total1196125

Merged error: 0b

Counts
125 → 6

regimes71.0ms

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
074
174

end0.0ms

sample1.8s

Algorithm
intervals
Results
524.0ms1843×body1280valid
417.0ms10247×body80valid
367.0ms2011×body640valid
136.0ms1100×body320valid
52.0ms597×body160valid

Profiling

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