Details

sample105.0ms

Algorithm

intervals

Results

29.0ms	352×	body	80	valid
23.0ms	83×	body	640	valid
21.0ms	51×	body	1280	valid
8.0ms	39×	body	320	valid
2.0ms	16×	body	160	valid

simplify14.6s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	15	7
2	32	7
3	69	7
4	144	7
5	272	7
6	482	7
7	1052	7
8	2094	7
9	3638	7
10	4858	7
done	5000	7

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.7b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.1b	(* (sin x) (sinh y))
13.7b	(/ (* (sin x) (sinh y)) x)

rewrite40.0ms

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)
12.0ms	(* (sin x) (sinh y))
25.0ms	(/ (* (sin x) (sinh y)) x)

series282.0ms

Counts

3 → 9

Calls

3 calls:

68.0ms	(sinh y)
110.0ms	(* (sin x) (sinh y))
103.0ms	(/ (* (sin x) (sinh y)) x)

simplify3.2s

Counts

58 → 58

Iterations

Useful iterations: 3 (1.7s)

Iter	Nodes	Cost
0	117	538
1	270	516
2	984	445
3	4845	419
done	5000	419

prune163.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite43.0ms

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)
7.0ms	(/ (sinh y) x)
33.0ms	(* (sin x) (/ (sinh y) x))

series361.0ms

Counts

3 → 9

Calls

3 calls:

94.0ms	(sinh y)
118.0ms	(/ (sinh y) x)
149.0ms	(* (sin x) (/ (sinh y) x))

simplify2.7s

Counts

77 → 77

Iterations

Useful iterations: done (2.6s)

Iter	Nodes	Cost
0	140	738
1	318	699
2	1016	629
3	3363	627
done	5000	615

prune252.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite53.0ms

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`
6×	`sinh-def` `associate-/r/` `div-inv` `associate-/l*`
4×	`cbrt-undiv` `div-exp`
3×	`pow1` `add-log-exp`
2×	`frac-2neg` `clear-num`

Counts

3 → 110

Calls

3 calls:

2.0ms	(sinh y)
10.0ms	(/ x (sinh y))
32.0ms	(/ (sin x) (/ x (sinh y)))

series386.0ms

Counts

3 → 9

Calls

3 calls:

89.0ms	(sinh y)
145.0ms	(/ x (sinh y))
151.0ms	(/ (sin x) (/ x (sinh y)))

simplify3.3s

Counts

119 → 119

Iterations

Useful iterations: 3 (1.8s)

Iter	Nodes	Cost
0	215	1544
1	453	1456
2	1433	1377
3	4772	1359
done	5000	1359

prune485.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 3 expressions with local error:

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

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
53×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
16×	`associate-/r*`
10×	`add-exp-log` `add-cbrt-cube`
6×	`div-inv` `associate-/l*`
4×	`cbrt-undiv` `div-exp`
3×	`pow1` `add-log-exp`
2×	`sinh-def` `frac-2neg` `clear-num`
1×	`associate-/r/` `associate-/l/`

Counts

3 → 106

Calls

3 calls:

1.0ms	(sinh y)
23.0ms	(/ (sinh y) (/ x (sin x)))
13.0ms	(/ x (sin x))

series267.0ms

Counts

3 → 9

Calls

3 calls:

108.0ms	(sinh y)
127.0ms	(/ (sinh y) (/ x (sin x)))
32.0ms	(/ x (sin x))

simplify3.3s

Counts

115 → 115

Iterations

Useful iterations: 3 (1.9s)

Iter	Nodes	Cost
0	204	1466
1	438	1383
2	1388	1304
3	4771	1300
done	5000	1300

prune505.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes78.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 1 (1.0ms)

Iter	Nodes	Cost
0	8	9
1	11	7
done	11	7

end0.0ms

sample4.7s

Algorithm

intervals

Results

2.0s	10387×	body	80	valid
975.0ms	1791×	body	1280	valid
709.0ms	1937×	body	640	valid
308.0ms	1120×	body	320	valid
88.0ms	573×	body	160	valid