Details

Time bar (total: 4.0s)

sample63.0ms

Algorithm
intervals
Results
20.0ms69×body1280valid
13.0ms306×body80valid
12.0ms66×body640valid
3.0ms26×body320valid
2.0ms22×body160valid

simplify47.0ms

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: 14.0b

Counts
2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(sinh y)
0.1b
(* (sin x) (sinh y))
14.0b
(/ (* (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)

series238.0ms

Counts
3 → 9
Calls
3 calls:
62.0ms
(sinh y)
84.0ms
(* (sin x) (sinh y))
92.0ms
(/ (* (sin x) (sinh y)) x)

simplify39.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0280320
11233272
25001255

prune110.0ms

Filtered
58 candidates to 43 candidates (74.1%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New53558
Fresh000
Picked011
Done000
Total53659

Merged error: 0.0b

Counts
59 → 6

localize7.0ms

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

series226.0ms

Counts
3 → 9
Calls
3 calls:
62.0ms
(sinh y)
71.0ms
(/ (sinh y) x)
92.0ms
(* (sin x) (/ (sinh y) x))

simplify39.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0328433
11261387
25001385

prune154.0ms

Filtered
77 candidates to 60 candidates (77.9%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New74377
Fresh134
Picked011
Done011
Total75883

Merged error: 0b

Counts
83 → 8

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
27×add-exp-log
19×add-sqr-sqrt
17×add-cbrt-cube
14×associate-*r*
13×*-un-lft-identity prod-exp
12×add-cube-cbrt
11×times-frac
10×pow1
7×cbrt-unprod
6×associate-*r/ associate-*l*
5×sinh-def
4×div-exp pow-prod-down
3×add-log-exp unswap-sqr
2×cbrt-undiv frac-times rec-exp 1-exp associate-*l/ un-div-inv *-commutative
1×div-inv
Counts
3 → 72
Calls
3 calls:
1.0ms
(sinh y)
7.0ms
(* (sin x) (* (sinh y) (/ 1 x)))
7.0ms
(* (sinh y) (/ 1 x))

series227.0ms

Counts
3 → 9
Calls
3 calls:
63.0ms
(sinh y)
92.0ms
(* (sin x) (* (sinh y) (/ 1 x)))
72.0ms
(* (sinh y) (/ 1 x))

simplify54.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0407464
11555379
25002334

prune137.0ms

Filtered
81 candidates to 55 candidates (67.9%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New80181
Fresh145
Picked101
Done112
Total83689

Merged error: 0b

Counts
89 → 6

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(sinh y)
0.0b
(/ (* (* (sin x) (/ 1 x)) (* 2 (sinh y))) 2)
0.1b
(* (* (sin x) (/ 1 x)) (* 2 (sinh y)))
0.3b
(* (sin x) (/ 1 x))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
95×add-exp-log
59×add-cbrt-cube
50×prod-exp
28×cbrt-unprod
21×add-sqr-sqrt div-exp
18×pow1
15×*-un-lft-identity
14×add-cube-cbrt times-frac associate-*r*
13×associate-*r/
12×cbrt-undiv
9×pow-prod-down
7×sinh-def
5×rec-exp 1-exp un-div-inv associate-/l/
4×frac-times associate-*l* associate-*l/ add-log-exp
3×associate-/r* unswap-sqr
2×*-commutative div-inv
1×frac-2neg clear-num associate-/l*
Counts
4 → 119
Calls
4 calls:
1.0ms
(sinh y)
15.0ms
(/ (* (* (sin x) (/ 1 x)) (* 2 (sinh y))) 2)
9.0ms
(* (* (sin x) (/ 1 x)) (* 2 (sinh y)))
7.0ms
(* (sin x) (/ 1 x))

series280.0ms

Counts
4 → 12
Calls
4 calls:
63.0ms
(sinh y)
92.0ms
(/ (* (* (sin x) (/ 1 x)) (* 2 (sinh y))) 2)
97.0ms
(* (* (sin x) (/ 1 x)) (* 2 (sinh y)))
28.0ms
(* (sin x) (/ 1 x))

simplify96.0ms

Algorithm
egg-herbie
Counts
131 → 131
Iterations

Useful iterations: 2 (83.0ms)

IterNodesCost
0649955
13415688
25001654

prune217.0ms

Filtered
131 candidates to 78 candidates (59.5%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1310131
Fresh044
Picked011
Done011
Total1316137

Merged error: 0b

Counts
137 → 6

regimes72.0ms

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

sample1.9s

Algorithm
intervals
Results
556.0ms1898×body1280valid
445.0ms10414×body80valid
371.0ms1939×body640valid
151.0ms1135×body320valid
58.0ms593×body160valid

Profiling

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