Details

sample67.0ms

Algorithm

intervals

Results

26.0ms	87×	body	1280	valid
12.0ms	63×	body	640	valid
11.0ms	256×	body	80	valid
4.0ms	32×	body	320	valid
1.0ms	14×	body	160	valid

simplify15.1s

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: 0.3b

localize11.0ms

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))

series253.0ms

Counts

3 → 9

Calls

3 calls:

87.0ms	(/ (sinh y) y)
62.0ms	(sinh y)
103.0ms	(* (sin x) (/ (sinh y) y))

simplify2.3s

Counts

77 → 77

Iterations

Useful iterations: 3 (1.3s)

Iter	Nodes	Cost
0	140	732
1	331	689
2	1066	623
3	4363	621
done	5001	621

prune174.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.2b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 118

Calls

4 calls:

11.0ms	(* (sin x) (sqrt (/ (sinh y) y)))
26.0ms	(* (* (sin x) (sqrt (/ (sinh y) y))) (sqrt (/ (sinh y) y)))
3.0ms	(sqrt (/ (sinh y) y))
3.0ms	(sqrt (/ (sinh y) y))

series479.0ms

Counts

4 → 12

Calls

4 calls:

190.0ms	(* (sin x) (sqrt (/ (sinh y) y)))
125.0ms	(* (* (sin x) (sqrt (/ (sinh y) y))) (sqrt (/ (sinh y) y)))
83.0ms	(sqrt (/ (sinh y) y))
81.0ms	(sqrt (/ (sinh y) y))

simplify1.7s

Counts

130 → 130

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	377	2571
1	1052	2236
2	4182	1965
done	5000	1958

prune422.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.2b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (sqrt (/ (sinh y) y)) 3)
0.2b	(sqrt (/ (sinh y) y))
0.2b	(sqrt (/ (sinh y) y))
0.2b	(cbrt (pow (sqrt (/ (sinh y) y)) 3))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

78×	`sqrt-prod`
58×	`add-sqr-sqrt`
56×	`times-frac`
52×	`add-cube-cbrt` `*-un-lft-identity`
38×	`cbrt-prod`
32×	`unpow-prod-down` `cube-prod`
8×	`pow1`
6×	`div-inv`
5×	`add-exp-log` `add-cbrt-cube`
4×	`rem-sqrt-square` `sqrt-div` `add-log-exp`
3×	`pow-unpow` `pow-pow` `sqrt-pow1` `pow1/2`
2×	`cube-div` `cube-mult` `unpow3` `sqr-pow`
1×	`pow-to-exp` `cbrt-div` `pow1/3` `pow-exp` `sqrt-pow2` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

4 → 151

Calls

4 calls:

5.0ms	(pow (sqrt (/ (sinh y) y)) 3)
3.0ms	(sqrt (/ (sinh y) y))
3.0ms	(sqrt (/ (sinh y) y))
6.0ms	(cbrt (pow (sqrt (/ (sinh y) y)) 3))

series371.0ms

Counts

4 → 12

Calls

4 calls:

126.0ms	(pow (sqrt (/ (sinh y) y)) 3)
81.0ms	(sqrt (/ (sinh y) y))
81.0ms	(sqrt (/ (sinh y) y))
83.0ms	(cbrt (pow (sqrt (/ (sinh y) y)) 3))

simplify859.0ms

Counts

163 → 163

Iterations

Useful iterations: done (854.0ms)

Iter	Nodes	Cost
0	362	3259
1	976	2629
2	2844	2414
done	5000	2405

prune503.0ms

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	(/ (sinh y) y)
0.0b	(pow (/ (sinh y) y) 3)
0.0b	(cbrt (pow (/ (sinh y) y) 3))
0.2b	(* (sin x) (cbrt (pow (/ (sinh y) y) 3)))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

74×	`add-sqr-sqrt`
70×	`cbrt-prod`
65×	`times-frac`
59×	`add-cube-cbrt` `*-un-lft-identity`
41×	`unpow-prod-down` `cube-prod`
35×	`associate-r`
11×	`add-exp-log`
10×	`add-cbrt-cube`
7×	`pow1` `div-inv` `unswap-sqr`
4×	`add-log-exp` `sqr-pow`
3×	`cube-div` `cube-mult` `pow-unpow` `unpow3` `associate-l` `associate-/r` `associate-/l`
2×	`cbrt-undiv` `cbrt-div` `div-exp` `pow-exp` `rem-cube-cbrt`
1×	`pow-to-exp` `sinh-def` `pow-pow` `frac-2neg` `pow1/3` `associate-r/` `pow-prod-down` `prod-exp` `clear-num` `-commutative` `rem-cbrt-cube` `cbrt-unprod` `associate-/l/`

Counts

4 → 173

Calls

4 calls:

3.0ms	(/ (sinh y) y)
4.0ms	(pow (/ (sinh y) y) 3)
4.0ms	(cbrt (pow (/ (sinh y) y) 3))
29.0ms	(* (sin x) (cbrt (pow (/ (sinh y) y) 3)))

series419.0ms

Counts

4 → 12

Calls

4 calls:

87.0ms	(/ (sinh y) y)
119.0ms	(pow (/ (sinh y) y) 3)
98.0ms	(cbrt (pow (/ (sinh y) y) 3))
114.0ms	(* (sin x) (cbrt (pow (/ (sinh y) y) 3)))

simplify784.0ms

Counts

185 → 185

Iterations

Useful iterations: done (779.0ms)

Iter	Nodes	Cost
0	235	2419
1	587	1872
2	2123	1671
done	5000	1669

prune371.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.2b

regimes88.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	17
1	13	17
done	13	17

end0.0ms

sample2.2s

Algorithm

intervals

Results

849.0ms	2934×	body	1280	valid
461.0ms	2478×	body	640	valid
370.0ms	8581×	body	80	valid
164.0ms	1247×	body	320	valid
58.0ms	618×	body	160	valid