Details

Time bar (total: 10.2s)

sample3.6s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 24.029541%

Guaranteed chance to sample good point: 65.557966%

Results
13.0ms44×body1280invalid
11.0ms39×body640invalid
9.0ms189×body80valid
6.0ms15×body1280valid
4.0ms21×body640valid
3.0ms21×body320invalid
2.0ms17×body320valid
2.0ms14×body160invalid
1.0ms14×body160valid
1.0ms13×body80invalid

simplify79.0ms

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: 13.1b

Counts
2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(sinh y)
0.1b
(* (sin x) (sinh y))
13.0b
(/ (* (sin x) (sinh y)) x)

rewrite12.0ms

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)

series46.0ms

Counts
3 → 9
Calls
3 calls:
10.0ms
(sinh y)
16.0ms
(* (sin x) (sinh y))
19.0ms
(/ (* (sin x) (sinh y)) x)

simplify37.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0280320
11233272
25001255

prune85.0ms

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

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New50858
Fresh000
Picked101
Done000
Total51859

Merged error: 0b

Counts
59 → 8

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite14.0ms

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))

series45.0ms

Counts
3 → 9
Calls
3 calls:
8.0ms
(sinh y)
14.0ms
(/ (sinh y) x)
23.0ms
(* (sin x) (/ (sinh y) x))

simplify42.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0328433
11261387
25001385

prune79.0ms

Filtered
57 candidates to 77 candidates (-35.1%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New76177
Fresh257
Picked011
Done000
Total78785

Merged error: 0b

Counts
85 → 7

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(sinh y)
0.1b
(* (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
cbrt-unprod
associate-*r/ associate-*l*
sinh-def
div-exp pow-prod-down
add-log-exp unswap-sqr
cbrt-undiv frac-times rec-exp 1-exp associate-*l/ un-div-inv *-commutative
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))

series44.0ms

Counts
3 → 9
Calls
3 calls:
8.0ms
(sinh y)
20.0ms
(* (sin x) (* (sinh y) (/ 1 x)))
16.0ms
(* (sinh y) (/ 1 x))

simplify49.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0407464
11555379
25001338

prune82.0ms

Filtered
55 candidates to 81 candidates (-47.3%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New81081
Fresh055
Picked011
Done011
Total81788

Merged error: 0b

Counts
88 → 7

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(sinh y)
0.0b
(/ x (sinh y))
0.8b
(/ (sin x) (/ x (sinh y)))

rewrite15.0ms

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:
1.0ms
(sinh y)
3.0ms
(/ x (sinh y))
6.0ms
(/ (sin x) (/ x (sinh y)))

series53.0ms

Counts
3 → 9
Calls
3 calls:
8.0ms
(sinh y)
23.0ms
(/ x (sinh y))
23.0ms
(/ (sin x) (/ x (sinh y)))

simplify58.0ms

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0475938
11984886
25001865

prune95.0ms

Filtered
98 candidates to 119 candidates (-21.4%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New1172119
Fresh224
Picked011
Done022
Total1197126

Merged error: 0b

Counts
126 → 7

regimes153.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
074
174

end0.0ms

sample5.6s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 24.029541%

Guaranteed chance to sample good point: 65.557966%

Results
455.0ms1487×body1280invalid
282.0ms6071×body80valid
245.0ms1249×body640invalid
156.0ms753×body640valid
125.0ms346×body1280valid
85.0ms611×body320invalid
74.0ms529×body320valid
29.0ms302×body160invalid
29.0ms301×body160valid
25.0ms430×body80invalid

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