Details

Time bar (total: 5.7s)

analyze962.0ms

Algorithm
search
sampling

Space saved by range analysis: 0.097632%

Space saved by search: 24.298835%

Guaranteed chance to sample good point: 65.46919%

sample67.0ms

Algorithm
intervals
Results
15.0ms43×body1280valid
9.0ms30×body1280invalid
9.0ms43×body640invalid
8.0ms41×body640valid
7.0ms137×body80valid
4.0ms27×body320valid
1.0ms9×body320invalid
1.0ms21×body80invalid
1.0ms11×body160invalid
1.0ms8×body160valid

simplify90.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0154
1284
2564
3984
41434
53104
68774
717814
849894
950014

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite12.0ms

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 cosh-def div-exp prod-exp cbrt-unprod div-inv add-log-exp unswap-sqr
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative
Counts
2 → 61
Calls
2 calls:
7.0ms
(* (cosh x) (/ (sin y) y))
4.0ms
(/ (sin y) y)

series21.0ms

Counts
2 → 6
Calls
2 calls:
17.0ms
(* (cosh x) (/ (sin y) y))
4.0ms
(/ (sin y) y)

simplify36.0ms

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0264392
11058349
25002337

prune83.0ms

Filtered
50 candidates to 67 candidates (-34.0%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New58967
Fresh000
Picked101
Done000
Total59968

Merged error: 0.0b

Counts
68 → 9

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (cosh x) (/ 1 (/ y (sin y))))
0.1b
(/ y (sin y))
0.1b
(/ 1 (/ y (sin y)))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
156×times-frac
103×add-sqr-sqrt
91×*-un-lft-identity
89×add-cube-cbrt
44×associate-*r*
35×add-exp-log
19×add-cbrt-cube
16×associate-/r*
15×div-exp
10×div-inv
7×cbrt-undiv prod-exp
6×pow1 associate-/l*
5×unswap-sqr
4×rec-exp 1-exp
3×associate-*l* cbrt-unprod add-log-exp
2×cosh-def frac-2neg clear-num associate-/r/
1×frac-times pow-flip associate-*r/ pow-prod-down associate-*l/ un-div-inv *-commutative inv-pow
Counts
3 → 178
Calls
3 calls:
15.0ms
(* (cosh x) (/ 1 (/ y (sin y))))
3.0ms
(/ y (sin y))
7.0ms
(/ 1 (/ y (sin y)))

series27.0ms

Counts
3 → 9
Calls
3 calls:
17.0ms
(* (cosh x) (/ 1 (/ y (sin y))))
6.0ms
(/ y (sin y))
4.0ms
(/ 1 (/ y (sin y)))

simplify82.0ms

Algorithm
egg-herbie
Counts
187 → 187
Iterations

Useful iterations: 2 (65.0ms)

IterNodesCost
06171319
129861147
250011024

prune149.0ms

Filtered
115 candidates to 187 candidates (-62.6%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New1825187
Fresh448
Picked011
Done000
Total18610196

Merged error: 0b

Counts
196 → 10

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (cosh x) (/ (/ 1 y) (/ 1 (sin y))))
0.1b
(/ 1 (sin y))
0.2b
(/ (/ 1 y) (/ 1 (sin y)))

rewrite99.0ms

Algorithm
rewrite-expression-head
Rules
854×times-frac
426×add-sqr-sqrt
397×*-un-lft-identity
391×add-cube-cbrt
174×associate-*r*
105×add-exp-log
66×div-exp
57×div-inv
35×add-cbrt-cube
17×cbrt-undiv rec-exp 1-exp prod-exp
16×associate-/r* associate-/l*
10×unswap-sqr
6×pow1
5×cbrt-unprod
3×associate-*l* add-log-exp
2×cosh-def frac-2neg clear-num associate-/r/
1×frac-times pow-flip associate-*r/ pow-prod-down associate-*l/ *-commutative associate-/l/ inv-pow
Counts
3 → 479
Calls
3 calls:
44.0ms
(* (cosh x) (/ (/ 1 y) (/ 1 (sin y))))
6.0ms
(/ 1 (sin y))
12.0ms
(/ (/ 1 y) (/ 1 (sin y)))

series26.0ms

Counts
3 → 9
Calls
3 calls:
17.0ms
(* (cosh x) (/ (/ 1 y) (/ 1 (sin y))))
4.0ms
(/ 1 (sin y))
4.0ms
(/ (/ 1 y) (/ 1 (sin y)))

simplify86.0ms

Algorithm
egg-herbie
Counts
488 → 488
Iterations

Useful iterations: 1 (39.0ms)

IterNodesCost
018274714
150014081

prune463.0ms

Filtered
259 candidates to 488 candidates (-88.4%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New4871488
Fresh268
Picked011
Done011
Total4899498

Merged error: 0b

Counts
498 → 9

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (cosh x) (* (sin y) (/ 1 y)))
0.3b
(* (sin y) (/ 1 y))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
26×add-exp-log
18×add-sqr-sqrt
16×add-cbrt-cube
14×associate-*r*
13×prod-exp
12×*-un-lft-identity
11×add-cube-cbrt times-frac
9×pow1
7×cbrt-unprod
6×associate-*l*
5×associate-*r/
4×div-exp pow-prod-down
3×cosh-def un-div-inv unswap-sqr
2×cbrt-undiv frac-times rec-exp 1-exp *-commutative add-log-exp
1×associate-*l/ div-inv
Counts
2 → 63
Calls
2 calls:
8.0ms
(* (cosh x) (* (sin y) (/ 1 y)))
10.0ms
(* (sin y) (/ 1 y))

series21.0ms

Counts
2 → 6
Calls
2 calls:
17.0ms
(* (cosh x) (* (sin y) (/ 1 y)))
4.0ms
(* (sin y) (/ 1 y))

simplify42.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0334408
11429326
25001297

prune52.0ms

Filtered
44 candidates to 69 candidates (-56.8%)
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New69069
Fresh066
Picked011
Done022
Total69978

Merged error: 0b

Counts
78 → 9

regimes161.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0115
1115

end0.0ms

analyze960.0ms

Algorithm
search
sampling

Space saved by range analysis: 0.097632%

Space saved by search: 24.298835%

Guaranteed chance to sample good point: 65.46919%

sample2.2s

Algorithm
intervals
Results
536.0ms1471×body1280valid
441.0ms1497×body1280invalid
260.0ms1300×body640valid
238.0ms1193×body640invalid
210.0ms4238×body80valid
92.0ms672×body320valid
90.0ms614×body320invalid
32.0ms330×body160invalid
30.0ms319×body160valid
23.0ms409×body80invalid

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