Details

sample75.0ms

Algorithm

intervals

Results

30.0ms	99×	body	1280	valid
13.0ms	77×	body	640	valid
11.0ms	290×	body	80	valid
5.0ms	38×	body	320	valid
1.0ms	18×	body	160	valid

simplify15.8s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	7
1	15	7
2	29	7
3	64	7
4	134	7
5	242	7
6	440	7
7	972	7
8	2071	7
9	2890	7
10	4087	7
11	4539	7
12	4597	7
13	4608	7
done	5001	7

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

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:

3.0ms	(/ (sinh y) y)
8.0ms	(* (cos x) (/ (sinh y) y))
1.0ms	(sinh y)

series253.0ms

Counts

3 → 9

Calls

3 calls:

91.0ms	(/ (sinh y) y)
95.0ms	(* (cos x) (/ (sinh y) y))
67.0ms	(sinh y)

simplify2.5s

Counts

77 → 77

Iterations

Useful iterations: 3 (1.4s)

Iter	Nodes	Cost
0	138	730
1	322	687
2	1032	621
3	4278	609
done	5001	609

prune193.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ y (sinh y))
0.0b	(* (cos x) (/ 1 (/ y (sinh y))))
0.0b	(/ 1 (/ y (sinh y)))
0.0b	(sinh y)

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

162×	`times-frac`
106×	`add-sqr-sqrt`
94×	`*-un-lft-identity`
92×	`add-cube-cbrt`
47×	`associate-r`
36×	`add-exp-log`
20×	`add-cbrt-cube`
17×	`associate-/r*`
15×	`div-exp`
10×	`associate-/r/` `div-inv`
9×	`sinh-def`
7×	`pow1` `cbrt-undiv` `prod-exp`
6×	`associate-/l*`
5×	`unswap-sqr`
4×	`rec-exp` `1-exp` `add-log-exp`
3×	`associate-l` `cbrt-unprod`
2×	`frac-2neg` `clear-num`
1×	`pow-flip` `associate-r/` `pow-prod-down` `un-div-inv` `-commutative` `inv-pow`

Counts

4 → 192

Calls

4 calls:

2.0ms	(/ y (sinh y))
23.0ms	(* (cos x) (/ 1 (/ y (sinh y))))
6.0ms	(/ 1 (/ y (sinh y)))
1.0ms	(sinh y)

series356.0ms

Counts

4 → 12

Calls

4 calls:

98.0ms	(/ y (sinh y))
98.0ms	(* (cos x) (/ 1 (/ y (sinh y))))
94.0ms	(/ 1 (/ y (sinh y)))
66.0ms	(sinh y)

simplify820.0ms

Counts

204 → 204

Iterations

Useful iterations: done (814.0ms)

Iter	Nodes	Cost
0	289	2519
1	699	2004
2	1629	1757
done	5002	1739

prune432.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* 1/6 (pow y 2)) (+ (* 1/120 (pow y 4)) 1))
0.0b	(* (cos x) (+ (* 1/6 (pow y 2)) (+ (* 1/120 (pow y 4)) 1)))
0.1b	(* 1/120 (pow y 4))
0.3b	(* 1/6 (pow y 2))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
18×	`associate-r`
16×	`add-exp-log`
12×	`add-cube-cbrt` `*-un-lft-identity`
10×	`add-cbrt-cube`
9×	`associate-l` `add-log-exp`
8×	`unpow-prod-down` `unswap-sqr`
7×	`prod-exp`
6×	`pow1`
4×	`sqr-pow`
3×	`sum-log` `*-commutative` `cbrt-unprod`
2×	`pow-to-exp` `flip3-+` `associate-*r/` `pow-exp` `flip-+` `unpow2`
1×	`+-commutative` `distribute-rgt-in` `associate-+r+` `distribute-lft-in` `pow-prod-down`

Counts

4 → 87

Calls

4 calls:

10.0ms	(+ (* 1/6 (pow y 2)) (+ (* 1/120 (pow y 4)) 1))
36.0ms	(* (cos x) (+ (* 1/6 (pow y 2)) (+ (* 1/120 (pow y 4)) 1)))
6.0ms	(* 1/120 (pow y 4))
6.0ms	(* 1/6 (pow y 2))

series242.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(+ (* 1/6 (pow y 2)) (+ (* 1/120 (pow y 4)) 1))
125.0ms	(* (cos x) (+ (* 1/6 (pow y 2)) (+ (* 1/120 (pow y 4)) 1)))
39.0ms	(* 1/120 (pow y 4))
31.0ms	(* 1/6 (pow y 2))

simplify722.0ms

Counts

99 → 99

Iterations

Useful iterations: 2 (205.0ms)

Iter	Nodes	Cost
0	159	1304
1	399	1204
2	1272	1080
done	5001	1080

prune275.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes46.0ms

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	8	9
1	11	9
done	11	9

end0.0ms

sample2.4s

Algorithm

intervals

Results

834.0ms	3006×	body	1280	valid
563.0ms	8549×	body	80	valid
446.0ms	2570×	body	640	valid
150.0ms	1264×	body	320	valid
49.0ms	590×	body	160	valid