Details

sample203.0ms

Algorithm

intervals

Results

67.0ms	91×	body	1280	valid
49.0ms	85×	body	640	valid
29.0ms	258×	body	80	valid
16.0ms	43×	body	320	valid
4.0ms	18×	body	160	valid

simplify8.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	5060
9	4361
8	2115
7	905
6	308
5	134
4	85
3	50
2	28
1	15
0	6

prune19.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize50.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (cosh x) (/ (sin y) y))
0.2b	(/ (sin y) y)

rewrite101.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
19×	`times-frac`
18×	`*-un-lft-identity` `add-cube-cbrt`
13×	`associate-r`
9×	`add-cbrt-cube` `add-exp-log`
4×	`pow1`
3×	`associate-/r` `associate-l` `associate-/l`
2×	`cbrt-undiv` `cosh-def` `div-exp` `prod-exp` `cbrt-unprod` `insert-posit16` `div-inv` `add-log-exp` `unswap-sqr`
1×	`frac-times` `clear-num` `frac-2neg` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative`

Counts

2 → 63

Calls

2 calls:

59.0ms	(* (cosh x) (/ (sin y) y))
39.0ms	(/ (sin y) y)

series240.0ms

Counts

2 → 6

Calls

2 calls:

183.0ms	(* (cosh x) (/ (sin y) y))
57.0ms	(/ (sin y) y)

simplify5.5s

Counts

69 → 69

Iterations

Iter	Nodes
done	5017
3	3040
2	931
1	277
0	122

prune793.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize76.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (/ (sin y) (exp x)) (* (sin y) (exp x)))
0.0b	(* (sin y) (exp x))
0.0b	(/ (sin y) (exp x))
0.2b	(/ (+ (/ (sin y) (exp x)) (* (sin y) (exp x))) (* 2 y))

rewrite276.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
16×	`*-un-lft-identity` `add-cube-cbrt`
13×	`times-frac` `add-cbrt-cube`
11×	`add-exp-log`
7×	`associate-/l*`
6×	`pow1` `add-log-exp`
5×	`div-inv`
4×	`associate-/r*` `insert-posit16`
3×	`cbrt-undiv` `div-exp` `associate-r` `associate-l` `distribute-lft-out`
2×	`clear-num` `frac-2neg` `flip3-+` `prod-exp` `cbrt-unprod` `flip-+` `associate-/l/`
1×	`+-commutative` `sum-log` `pow-prod-down` `*-commutative` `unswap-sqr`

Counts

4 → 86

Calls

4 calls:

53.0ms	(+ (/ (sin y) (exp x)) (* (sin y) (exp x)))
37.0ms	(* (sin y) (exp x))
29.0ms	(/ (sin y) (exp x))
152.0ms	(/ (+ (/ (sin y) (exp x)) (* (sin y) (exp x))) (* 2 y))

series413.0ms

Counts

4 → 12

Calls

4 calls:

170.0ms	(+ (/ (sin y) (exp x)) (* (sin y) (exp x)))
51.0ms	(* (sin y) (exp x))
57.0ms	(/ (sin y) (exp x))
135.0ms	(/ (+ (/ (sin y) (exp x)) (* (sin y) (exp x))) (* 2 y))

simplify8.4s

Counts

98 → 98

Iterations

Iter	Nodes
done	5001
3	4872
2	1270
1	388
0	158

prune1.3s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize124.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (sin y) (exp x))
0.0b	(/ (sin y) (exp x))
0.2b	(/ (* 2 y) (+ (/ (sin y) (exp x)) (* (sin y) (exp x))))
0.2b	(/ 1 (/ (* 2 y) (+ (/ (sin y) (exp x)) (* (sin y) (exp x)))))

rewrite322.0ms

Algorithm

rewrite-expression-head

Rules

59×	`times-frac`
37×	`add-sqr-sqrt`
35×	`*-un-lft-identity` `add-cube-cbrt`
32×	`add-exp-log`
22×	`add-cbrt-cube`
17×	`associate-/r*`
15×	`div-exp`
13×	`div-inv`
11×	`associate-/r/`
8×	`cbrt-undiv`
7×	`pow1` `associate-/l*`
6×	`distribute-lft-out`
5×	`flip3-+` `prod-exp` `flip-+`
4×	`insert-posit16` `add-log-exp`
3×	`rec-exp` `clear-num` `frac-2neg` `1-exp` `associate-r` `associate-l` `cbrt-unprod`
1×	`pow-prod-down` `*-commutative` `pow-flip` `inv-pow` `unswap-sqr`

Counts

4 → 142

Calls

4 calls:

35.0ms	(* (sin y) (exp x))
38.0ms	(/ (sin y) (exp x))
112.0ms	(/ (* 2 y) (+ (/ (sin y) (exp x)) (* (sin y) (exp x))))
128.0ms	(/ 1 (/ (* 2 y) (+ (/ (sin y) (exp x)) (* (sin y) (exp x)))))

series680.0ms

Counts

4 → 12

Calls

4 calls:

81.0ms	(* (sin y) (exp x))
65.0ms	(/ (sin y) (exp x))
363.0ms	(/ (* 2 y) (+ (/ (sin y) (exp x)) (* (sin y) (exp x))))
169.0ms	(/ 1 (/ (* 2 y) (+ (/ (sin y) (exp x)) (* (sin y) (exp x)))))

simplify4.2s

Counts

154 → 154

Iterations

Iter	Nodes
done	5004
2	2056
1	634
0	244

prune1.6s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize78.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (/ (sin y) (exp x)) (* (exp x) (sin y)))
0.0b	(* (exp x) (sin y))
0.0b	(/ (sin y) (exp x))
0.3b	(* (/ 1/2 y) (+ (/ (sin y) (exp x)) (* (exp x) (sin y))))

rewrite379.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-sqr-sqrt`
22×	`*-un-lft-identity` `add-cube-cbrt`
19×	`times-frac`
16×	`associate-l`
13×	`add-cbrt-cube`
11×	`add-exp-log`
8×	`pow1`
6×	`associate-r` `add-log-exp`
4×	`insert-posit16`
3×	`associate-/r` `flip3-+` `prod-exp` `cbrt-unprod` `flip-+` `associate-/l` `unswap-sqr`
2×	`frac-times` `cbrt-undiv` `div-exp` `pow-prod-down` `associate-r/` `-commutative` `div-inv`
1×	`distribute-rgt-in` `+-commutative` `clear-num` `sum-log` `frac-2neg` `distribute-lft-in` `associate-*l/`

Counts

4 → 98

Calls

4 calls:

86.0ms	(+ (/ (sin y) (exp x)) (* (exp x) (sin y)))
35.0ms	(* (exp x) (sin y))
23.0ms	(/ (sin y) (exp x))
225.0ms	(* (/ 1/2 y) (+ (/ (sin y) (exp x)) (* (exp x) (sin y))))

series532.0ms

Counts

4 → 12

Calls

4 calls:

153.0ms	(+ (/ (sin y) (exp x)) (* (exp x) (sin y)))
105.0ms	(* (exp x) (sin y))
86.0ms	(/ (sin y) (exp x))
187.0ms	(* (/ 1/2 y) (+ (/ (sin y) (exp x)) (* (exp x) (sin y))))

simplify4.7s

Counts

110 → 110

Iterations

Iter	Nodes
done	5000
2	2225
1	543
0	182

prune1.2s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes419.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	13
1	13
0	10

end0.0ms

sample6.2s

Algorithm

intervals

Results

2.4s	3026×	body	1280	valid
1.4s	8345×	body	80	valid
1.3s	2538×	body	640	valid
389.0ms	1246×	body	320	valid
144.0ms	667×	body	160	valid