Details

sample104.0ms

Algorithm

intervals

Results

36.0ms	91×	body	1280	valid
18.0ms	75×	body	640	valid
16.0ms	288×	body	80	valid
8.0ms	46×	body	320	valid
3.0ms	21×	body	160	valid

simplify13.9s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	15	7
2	30	7
3	67	7
4	135	7
5	256	7
6	460	7
7	977	7
8	1864	7
9	3263	7
10	4445	7
done	5001	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite33.0ms

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:

7.0ms	(/ (sinh y) y)
22.0ms	(* (cos x) (/ (sinh y) y))
1.0ms	(sinh y)

series345.0ms

Counts

3 → 9

Calls

3 calls:

122.0ms	(/ (sinh y) y)
136.0ms	(* (cos x) (/ (sinh y) y))
86.0ms	(sinh y)

simplify2.2s

Counts

77 → 77

Iterations

Useful iterations: 3 (1.2s)

Iter	Nodes	Cost
0	138	730
1	313	687
2	1010	621
3	3477	609
done	5002	609

prune237.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 3 expressions with local error:

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

rewrite30.0ms

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:

1.0ms	(sinh y)
18.0ms	(/ (cos x) (/ y (sinh y)))
7.0ms	(/ y (sinh y))

series259.0ms

Counts

3 → 9

Calls

3 calls:

66.0ms	(sinh y)
97.0ms	(/ (cos x) (/ y (sinh y)))
96.0ms	(/ y (sinh y))

simplify1.7s

Counts

119 → 119

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	217	1546
1	455	1454
2	1458	1379
done	5000	1357

prune354.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (+ (* 1/6 (pow y 3)) (+ (* 1/120 (pow y 5)) y)) y)
0.0b	(* (cos x) (/ (+ (* 1/6 (pow y 3)) (+ (* 1/120 (pow y 5)) y)) y))
0.0b	(* 1/120 (pow y 5))
0.1b	(* 1/6 (pow y 3))

rewrite202.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-sqr-sqrt`
32×	`associate-r`
27×	`add-cube-cbrt` `*-un-lft-identity`
21×	`add-exp-log`
19×	`times-frac`
15×	`add-cbrt-cube`
9×	`associate-l` `unswap-sqr`
8×	`unpow-prod-down` `prod-exp`
6×	`pow1`
4×	`cube-prod` `cbrt-unprod` `add-log-exp` `sqr-pow`
3×	`associate-/r` `-commutative` `associate-/l*`
2×	`cbrt-undiv` `pow-to-exp` `div-exp` `pow-exp` `div-inv` `associate-/l/`
1×	`cube-mult` `frac-2neg` `flip3-+` `unpow3` `associate-*r/` `pow-prod-down` `clear-num` `flip-+`

Counts

4 → 117

Calls

4 calls:

82.0ms	(/ (+ (* 1/6 (pow y 3)) (+ (* 1/120 (pow y 5)) y)) y)
90.0ms	(* (cos x) (/ (+ (* 1/6 (pow y 3)) (+ (* 1/120 (pow y 5)) y)) y))
12.0ms	(* 1/120 (pow y 5))
13.0ms	(* 1/6 (pow y 3))

series480.0ms

Counts

4 → 12

Calls

4 calls:

111.0ms	(/ (+ (* 1/6 (pow y 3)) (+ (* 1/120 (pow y 5)) y)) y)
258.0ms	(* (cos x) (/ (+ (* 1/6 (pow y 3)) (+ (* 1/120 (pow y 5)) y)) y))
71.0ms	(* 1/120 (pow y 5))
39.0ms	(* 1/6 (pow y 3))

simplify1.2s

Counts

129 → 129

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	200	2083
1	492	1971
2	1682	1780
done	5000	1778

prune436.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes61.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 1 (1.0ms)

Iter	Nodes	Cost
0	8	9
1	10	7
done	10	7

end0.0ms

sample3.9s

Algorithm

intervals

Results

1.6s	3012×	body	1280	valid
789.0ms	2439×	body	640	valid
651.0ms	8611×	body	80	valid
239.0ms	1198×	body	320	valid
65.0ms	577×	body	160	valid