Details

sample84.0ms

Algorithm

intervals

Results

30.0ms	98×	body	1280	valid
15.0ms	261×	body	80	valid
15.0ms	78×	body	640	valid
6.0ms	44×	body	320	valid
3.0ms	29×	body	160	valid

simplify4.2s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	7
1	15	7
2	27	7
3	53	7
4	92	7
5	129	7
6	237	7
7	515	7
8	1107	7
9	1781	7
10	2104	7
11	2239	7
done	2239	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b	(/ (sin y) y)
0.2b	(* (cosh x) (/ (sin y) y))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 61

Calls

2 calls:

3.0ms	(/ (sin y) y)
8.0ms	(* (cosh x) (/ (sin y) y))

series115.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(/ (sin y) y)
87.0ms	(* (cosh x) (/ (sin y) y))

simplify2.6s

Counts

67 → 67

Iterations

Useful iterations: 2 (144.0ms)

Iter	Nodes	Cost
0	120	663
1	262	632
2	868	568
3	4000	568
done	5000	568

prune179.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.3b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (* 1/2 (sin y)) (+ (exp x) (exp (- x))))
0.4b	(/ (* (* 1/2 (sin y)) (+ (exp x) (exp (- x)))) y)

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-exp-log` `add-cbrt-cube`
7×	`pow1` `*-un-lft-identity`
6×	`prod-exp` `cbrt-unprod`
5×	`add-sqr-sqrt` `add-cube-cbrt`
4×	`associate-r/` `associate-r*`
3×	`cbrt-undiv` `times-frac` `div-exp` `pow-prod-down` `associate-/r*`
2×	`flip3-+` `flip-+` `associate-/l/` `add-log-exp`
1×	`distribute-rgt-in` `frac-2neg` `distribute-lft-in` `associate-l` `clear-num` `-commutative` `div-inv` `distribute-lft-out` `associate-/l`

Counts

2 → 48

Calls

2 calls:

20.0ms	(* (* 1/2 (sin y)) (+ (exp x) (exp (- x))))
13.0ms	(/ (* (* 1/2 (sin y)) (+ (exp x) (exp (- x)))) y)

series153.0ms

Counts

2 → 6

Calls

2 calls:

73.0ms	(* (* 1/2 (sin y)) (+ (exp x) (exp (- x))))
80.0ms	(/ (* (* 1/2 (sin y)) (+ (exp x) (exp (- x)))) y)

simplify897.0ms

Counts

54 → 54

Iterations

Useful iterations: 2 (287.0ms)

Iter	Nodes	Cost
0	127	915
1	360	861
2	1710	700
done	5000	700

prune155.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.3b

localize9.0ms

Local error

Found 3 expressions with local error:

0.2b	(/ 1 (/ y (sin y)))
0.2b	(/ y (sin y))
0.2b	(* (cosh x) (/ 1 (/ y (sin y))))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

156×	`times-frac`
103×	`add-sqr-sqrt`
91×	`*-un-lft-identity`
89×	`add-cube-cbrt`
44×	`associate-r`
35×	`add-exp-log`
19×	`add-cbrt-cube`
16×	`associate-/r*`
15×	`div-exp`
10×	`div-inv`
7×	`cbrt-undiv` `prod-exp`
6×	`pow1` `associate-/l*`
5×	`unswap-sqr`
4×	`rec-exp` `1-exp`
3×	`associate-l` `cbrt-unprod` `add-log-exp`
2×	`cosh-def` `frac-2neg` `clear-num` `associate-/r/`
1×	`frac-times` `pow-flip` `associate-r/` `pow-prod-down` `associate-l/` `un-div-inv` `*-commutative` `inv-pow`

Counts

3 → 178

Calls

3 calls:

6.0ms	(/ 1 (/ y (sin y)))
2.0ms	(/ y (sin y))
21.0ms	(* (cosh x) (/ 1 (/ y (sin y))))

series144.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms	(/ 1 (/ y (sin y)))
25.0ms	(/ y (sin y))
86.0ms	(* (cosh x) (/ 1 (/ y (sin y))))

simplify1.3s

Counts

187 → 187

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	259	2334
1	616	1858
2	1461	1611
done	5000	1581

prune385.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.3b

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ 1 (sin y))
0.2b	(/ 1 (* y (/ 1 (sin y))))
0.2b	(* y (/ 1 (sin y)))
0.2b	(* (cosh x) (/ 1 (* y (/ 1 (sin y)))))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

104×	`add-exp-log`
44×	`prod-exp`
36×	`div-exp`
34×	`add-sqr-sqrt` `add-cbrt-cube`
26×	`*-un-lft-identity` `times-frac`
25×	`add-cube-cbrt`
22×	`associate-r`
18×	`rec-exp` `1-exp`
12×	`pow1`
10×	`cbrt-undiv` `cbrt-unprod`
6×	`associate-l` `associate-/l*`
4×	`associate-r/` `associate-/r` `associate-/r/` `un-div-inv` `div-inv` `add-log-exp` `unswap-sqr`
3×	`pow-flip` `pow-prod-down`
2×	`cosh-def` `frac-2neg` `clear-num` `*-commutative` `inv-pow`
1×	`frac-times` `associate-*l/`

Counts

4 → 153

Calls

4 calls:

2.0ms	(/ 1 (sin y))
9.0ms	(/ 1 (* y (/ 1 (sin y))))
8.0ms	(* y (/ 1 (sin y)))
29.0ms	(* (cosh x) (/ 1 (* y (/ 1 (sin y)))))

series159.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(/ 1 (sin y))
29.0ms	(/ 1 (* y (/ 1 (sin y))))
26.0ms	(* y (/ 1 (sin y)))
89.0ms	(* (cosh x) (/ 1 (* y (/ 1 (sin y)))))

simplify3.3s

Counts

165 → 165

Iterations

Useful iterations: 3 (1.9s)

Iter	Nodes	Cost
0	213	1764
1	527	1252
2	1257	1016
3	4478	1004
done	5000	1004

prune247.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.3b

regimes177.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	13
1	14	13
done	14	13

end0.0ms

sample2.4s

Algorithm

intervals

Results

972.0ms	3022×	body	1280	valid
504.0ms	2538×	body	640	valid
380.0ms	8613×	body	80	valid
164.0ms	1192×	body	320	valid
64.0ms	634×	body	160	valid