Details

sample62.0ms

Algorithm

intervals

Results

24.0ms	87×	body	1280	valid
11.0ms	63×	body	640	valid
10.0ms	256×	body	80	valid
4.0ms	32×	body	320	valid
1.0ms	14×	body	160	valid

simplify6.2s

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	136	7
5	248	7
6	472	7
7	1381	7
8	3541	7
done	5000	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize7.0ms

Local error

Found 3 expressions with local error:

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

2.0ms	(/ (sinh y) y)
0.0ms	(sinh y)
8.0ms	(* (sin x) (/ (sinh y) y))

series252.0ms

Counts

3 → 9

Calls

3 calls:

88.0ms	(/ (sinh y) y)
62.0ms	(sinh y)
103.0ms	(* (sin x) (/ (sinh y) y))

simplify505.0ms

Counts

77 → 77

Iterations

Useful iterations: done (503.0ms)

Iter	Nodes	Cost
0	140	732
1	338	689
2	1311	623
done	5001	599

prune175.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.2b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite13.0ms

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:

0.0ms	(sinh y)
2.0ms	(/ y (sinh y))
6.0ms	(/ (sin x) (/ y (sinh y)))

series259.0ms

Counts

3 → 9

Calls

3 calls:

65.0ms	(sinh y)
91.0ms	(/ y (sinh y))
102.0ms	(/ (sin x) (/ y (sinh y)))

simplify674.0ms

Counts

119 → 119

Iterations

Useful iterations: done (670.0ms)

Iter	Nodes	Cost
0	219	1548
1	500	1456
2	2052	1377
done	5000	1353

prune277.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.2b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite169.0ms

Algorithm

rewrite-expression-head

Rules

2898×	`times-frac`
1582×	`sqrt-prod`
1244×	`add-sqr-sqrt`
1238×	`add-cube-cbrt` `*-un-lft-identity`
133×	`associate-/r/` `div-inv`
114×	`sinh-def`
59×	`associate-/l*`
21×	`sqrt-div`
20×	`associate-/r*`
11×	`add-exp-log` `add-cbrt-cube`
6×	`pow1`
4×	`cbrt-undiv` `rem-sqrt-square` `div-exp` `add-log-exp`
2×	`frac-2neg` `sqrt-pow1` `pow1/2` `clear-num`
1×	`associate-/l/`

Counts

4 → 1121

Calls

4 calls:

2.0ms	(/ y (sinh y))
42.0ms	(/ (/ (sin x) (sqrt (/ y (sinh y)))) (sqrt (/ y (sinh y))))
3.0ms	(sqrt (/ y (sinh y)))
3.0ms	(sqrt (/ y (sinh y)))

series364.0ms

Counts

4 → 12

Calls

4 calls:

94.0ms	(/ y (sinh y))
112.0ms	(/ (/ (sin x) (sqrt (/ y (sinh y)))) (sqrt (/ y (sinh y))))
78.0ms	(sqrt (/ y (sinh y)))
80.0ms	(sqrt (/ y (sinh y)))

simplify1.3s

Counts

1133 → 1133

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	1837	36974
1	4219	34779
done	5000	34346

prune2.3s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.2b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite93.0ms

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:

31.0ms	(/ (+ (* 1/6 (pow y 3)) (+ (* 1/120 (pow y 5)) y)) y)
40.0ms	(* (sin x) (/ (+ (* 1/6 (pow y 3)) (+ (* 1/120 (pow y 5)) y)) y))
5.0ms	(* 1/120 (pow y 5))
10.0ms	(* 1/6 (pow y 3))

series376.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(/ (+ (* 1/6 (pow y 3)) (+ (* 1/120 (pow y 5)) y)) y)
207.0ms	(* (sin x) (/ (+ (* 1/6 (pow y 3)) (+ (* 1/120 (pow y 5)) y)) y))
54.0ms	(* 1/120 (pow y 5))
36.0ms	(* 1/6 (pow y 3))

simplify1.0s

Counts

129 → 129

Iterations

Useful iterations: 2 (207.0ms)

Iter	Nodes	Cost
0	201	2085
1	522	1973
2	2311	1788
done	5000	1788

prune363.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.2b

regimes95.0ms

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	6	7
1	7	7
done	7	7

end0.0ms

sample2.2s

Algorithm

intervals

Results

850.0ms	2934×	body	1280	valid
427.0ms	2478×	body	640	valid
351.0ms	8581×	body	80	valid
158.0ms	1247×	body	320	valid
53.0ms	618×	body	160	valid