Details

sample124.0ms

Algorithm

intervals

Results

45.0ms	93×	body	1280	valid
23.0ms	75×	body	640	valid
21.0ms	277×	body	80	valid
7.0ms	31×	body	320	valid
3.0ms	18×	body	160	valid

simplify2.7s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
7	3986
6	802
5	260
4	135
3	67
2	30
1	15
0	6

prune18.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 3 expressions with local error:

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

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
19×	`*-un-lft-identity` `times-frac` `add-cube-cbrt`
13×	`associate-r`
10×	`add-cbrt-cube` `add-exp-log`
5×	`pow1`
3×	`associate-/r` `associate-l` `associate-/l` `add-log-exp`
2×	`cbrt-undiv` `sinh-def` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr`
1×	`clear-num` `frac-2neg` `pow-prod-down` `associate-r/` `-commutative` `associate-/l/`

Counts

3 → 68

Calls

3 calls:

5.0ms	(/ (sinh y) y)
1.0ms	(sinh y)
18.0ms	(* (sin x) (/ (sinh y) y))

series347.0ms

Counts

3 → 9

Calls

3 calls:

127.0ms	(/ (sinh y) y)
93.0ms	(sinh y)
127.0ms	(* (sin x) (/ (sinh y) y))

simplify1.0s

Counts

77 → 77

Iterations

Iter	Nodes
done	5001
2	1713
1	348
0	140

prune341.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite92.0ms

Algorithm

rewrite-expression-head

Rules

54×	`sqrt-prod`
48×	`add-sqr-sqrt`
39×	`times-frac`
35×	`*-un-lft-identity` `add-cube-cbrt`
19×	`associate-r`
17×	`associate-l`
13×	`pow1`
11×	`add-cbrt-cube` `add-exp-log`
7×	`sqrt-div`
4×	`rem-sqrt-square` `pow-prod-down` `associate-*l/` `prod-exp` `cbrt-unprod` `div-inv` `add-log-exp`
3×	`unswap-sqr`
2×	`sqrt-pow1` `pow1/2` `*-commutative`
1×	`frac-times` `associate-*r/`

Counts

4 → 118

Calls

4 calls:

21.0ms	(* (sqrt (/ (sinh y) y)) (sin x))
3.0ms	(sqrt (/ (sinh y) y))
3.0ms	(sqrt (/ (sinh y) y))
57.0ms	(* (* (sqrt (/ (sinh y) y)) (sin x)) (sqrt (/ (sinh y) y)))

series746.0ms

Counts

4 → 12

Calls

4 calls:

285.0ms	(* (sqrt (/ (sinh y) y)) (sin x))
140.0ms	(sqrt (/ (sinh y) y))
109.0ms	(sqrt (/ (sinh y) y))
212.0ms	(* (* (sqrt (/ (sinh y) y)) (sin x)) (sqrt (/ (sinh y) y)))

simplify618.0ms

Counts

130 → 130

Iterations

Iter	Nodes
done	5000
1	996
0	356

prune890.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

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

rewrite456.0ms

Algorithm

rewrite-expression-head

Rules

207×	`sqrt-prod`
120×	`add-sqr-sqrt`
73×	`times-frac`
62×	`*-un-lft-identity` `add-cube-cbrt`
38×	`pow1`
35×	`associate-r`
34×	`sqrt-pow1`
30×	`sqrt-div`
25×	`swap-sqr`
20×	`associate-l`
18×	`pow1/2`
16×	`unswap-sqr`
15×	`add-cbrt-cube` `add-exp-log`
12×	`associate-*l/`
11×	`pow-prod-down`
9×	`pow-prod-up`
7×	`prod-exp` `cbrt-unprod` `div-inv`
6×	`frac-times`
5×	`pow-sqr`
4×	`rem-sqrt-square` `associate-*r/` `add-log-exp`
2×	`*-commutative`
1×	`pow2` `rem-square-sqrt` `pow-plus` `sqrt-unprod`

Counts

4 → 206

Calls

4 calls:

6.0ms	(sqrt (/ (sinh y) y))
7.0ms	(sqrt (/ (sinh y) y))
68.0ms	(* (sqrt (sqrt (/ (sinh y) y))) (sqrt (sqrt (/ (sinh y) y))))
357.0ms	(* (* (* (sqrt (sqrt (/ (sinh y) y))) (sqrt (sqrt (/ (sinh y) y)))) (sin x)) (sqrt (/ (sinh y) y)))

series598.0ms

Counts

4 → 12

Calls

4 calls:

125.0ms	(sqrt (/ (sinh y) y))
153.0ms	(sqrt (/ (sinh y) y))
122.0ms	(* (sqrt (sqrt (/ (sinh y) y))) (sqrt (sqrt (/ (sinh y) y))))
198.0ms	(* (* (* (sqrt (sqrt (/ (sinh y) y))) (sqrt (sqrt (/ (sinh y) y)))) (sin x)) (sqrt (/ (sinh y) y)))

simplify638.0ms

Counts

218 → 218

Iterations

Iter	Nodes
done	5001
1	1018
0	401

prune1.3s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.1b	(/ (sin x) y)
0.3b	(* (/ (sin x) y) (sinh y))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
19×	`*-un-lft-identity` `times-frac` `add-cube-cbrt`
13×	`associate-l`
10×	`add-cbrt-cube` `add-exp-log`
5×	`pow1`
3×	`sinh-def` `associate-/r` `associate-r` `associate-/l` `add-log-exp`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr`
1×	`frac-times` `clear-num` `frac-2neg` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative`

Counts

3 → 69

Calls

3 calls:

2.0ms	(sinh y)
13.0ms	(/ (sin x) y)
22.0ms	(* (/ (sin x) y) (sinh y))

series271.0ms

Counts

3 → 9

Calls

3 calls:

81.0ms	(sinh y)
49.0ms	(/ (sin x) y)
141.0ms	(* (/ (sin x) y) (sinh y))

simplify963.0ms

Counts

78 → 78

Iterations

Iter	Nodes
done	5000
2	1500
1	335
0	137

prune370.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes196.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	12
1	12
0	10

end0.0ms

sample5.8s

Algorithm

intervals

Results

2.3s	2944×	body	1280	valid
1.3s	8558×	body	80	valid
1.1s	2452×	body	640	valid
303.0ms	1214×	body	320	valid
103.0ms	608×	body	160	valid