Details

sample73.0ms

Algorithm

intervals

Results

26.0ms	93×	body	1280	valid
13.0ms	75×	body	640	valid
11.0ms	270×	body	80	valid
5.0ms	39×	body	320	valid
2.0ms	18×	body	160	valid

simplify46.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	4
1	30	4
2	66	4
3	139	4
4	271	4
5	520	4
6	1491	4
7	5001	4
done	5001	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite32.0ms

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×	`expm1-log1p-u` `associate-l` `associate-/r` `log1p-expm1-u` `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 → 74

Calls

3 calls:

7.0ms	(/ (sinh y) y)
5.0ms	(sinh y)
17.0ms	(* (sin x) (/ (sinh y) y))

series256.0ms

Counts

3 → 9

Calls

3 calls:

88.0ms	(/ (sinh y) y)
60.0ms	(sinh y)
107.0ms	(* (sin x) (/ (sinh y) y))

simplify43.0ms

Counts

83 → 83

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	348	444
1	1367	399
2	5001	397
done	5001	397

prune192.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite89.0ms

Algorithm

rewrite-expression-head

Rules

66×	`add-sqr-sqrt` `sqrt-prod`
42×	`times-frac`
37×	`add-cube-cbrt` `*-un-lft-identity`
24×	`pow1`
19×	`associate-l`
18×	`swap-sqr`
17×	`associate-r`
11×	`add-exp-log` `add-cbrt-cube`
10×	`unswap-sqr`
8×	`sqrt-pow1` `pow1/2` `sqrt-div`
6×	`pow-prod-down`
5×	`associate-*r/` `pow-prod-up`
4×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `div-inv` `add-log-exp`
3×	`pow-sqr`
2×	`frac-times` `sinh-def` `associate-l/` `-commutative`
1×	`pow2` `pow-plus` `sqrt-unprod` `rem-square-sqrt`

Counts

4 → 133

Calls

4 calls:

1.0ms	(sinh y)
1.0ms	(sinh y)
46.0ms	(* (sin x) (* (sqrt (/ (sinh y) y)) (sqrt (/ (sinh y) y))))
33.0ms	(* (sqrt (/ (sinh y) y)) (sqrt (/ (sinh y) y)))

series348.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(sinh y)
64.0ms	(sinh y)
133.0ms	(* (sin x) (* (sqrt (/ (sinh y) y)) (sqrt (/ (sinh y) y))))
91.0ms	(* (sqrt (/ (sinh y) y)) (sqrt (/ (sinh y) y)))

simplify105.0ms

Counts

145 → 145

Iterations

Useful iterations: 2 (91.0ms)

Iter	Nodes	Cost
0	810	1169
1	3775	1033
2	5001	997
done	5001	997

prune362.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.2b	(* (sin x) (sinh y))
16.9b	(/ (* (sin x) (sinh y)) y)

rewrite30.0ms

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×	`expm1-log1p-u` `sinh-def` `times-frac` `associate-r` `associate-l` `associate-/r*` `log1p-expm1-u` `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 → 55

Calls

3 calls:

1.0ms	(sinh y)
15.0ms	(* (sin x) (sinh y))
13.0ms	(/ (* (sin x) (sinh y)) y)

series260.0ms

Counts

3 → 9

Calls

3 calls:

60.0ms	(sinh y)
91.0ms	(* (sin x) (sinh y))
110.0ms	(/ (* (sin x) (sinh y)) y)

simplify39.0ms

Counts

64 → 64

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	291	340
1	1275	291
2	5001	273
done	5001	273

prune129.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

90×	`add-sqr-sqrt`
84×	`times-frac`
60×	`add-cube-cbrt` `*-un-lft-identity`
48×	`sqrt-prod`
22×	`associate-r` `associate-l`
20×	`add-exp-log` `add-cbrt-cube`
12×	`associate-/r*`
9×	`unswap-sqr`
6×	`pow1` `cbrt-undiv` `div-exp` `associate-/l*`
4×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `div-inv` `add-log-exp`
2×	`sinh-def` `frac-2neg` `clear-num`
1×	`frac-times` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative` `associate-/l/`

Counts

4 → 168

Calls

4 calls:

1.0ms	(sinh y)
12.0ms	(/ (sin x) (sqrt y))
36.0ms	(* (/ (sin x) (sqrt y)) (/ (sinh y) (sqrt y)))
8.0ms	(/ (sinh y) (sqrt y))

series305.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(sinh y)
54.0ms	(/ (sin x) (sqrt y))
114.0ms	(* (/ (sin x) (sqrt y)) (/ (sinh y) (sqrt y)))
74.0ms	(/ (sinh y) (sqrt y))

simplify86.0ms

Counts

180 → 180

Iterations

Useful iterations: 2 (74.0ms)

Iter	Nodes	Cost
0	838	1565
1	3507	1428
2	5001	1366
done	5001	1366

prune416.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes64.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	9
1	9	9
done	9	9

end0.0ms

sample2.3s

Algorithm

intervals

Results

825.0ms	2958×	body	1280	valid
446.0ms	2484×	body	640	valid
342.0ms	8423×	body	80	valid
149.0ms	1213×	body	320	valid
58.0ms	662×	body	160	valid