Details

sample87.0ms

Algorithm

intervals

Results

24.0ms	337×	body	80	valid
20.0ms	51×	body	1280	valid
19.0ms	71×	body	640	valid
9.0ms	49×	body	320	valid
2.0ms	16×	body	160	valid

simplify2.1s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
7	1703
6	620
5	247
4	128
3	62
2	30
1	15
0	6

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.0b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.1b	(* (sin x) (sinh y))
13.9b	(/ (* (sin x) (sinh y)) x)

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 52

Calls

3 calls:

1.0ms	(sinh y)
12.0ms	(* (sin x) (sinh y))
15.0ms	(/ (* (sin x) (sinh y)) x)

series384.0ms

Counts

3 → 9

Calls

3 calls:

85.0ms	(sinh y)
138.0ms	(* (sin x) (sinh y))
161.0ms	(/ (* (sin x) (sinh y)) x)

simplify1.4s

Counts

61 → 61

Iterations

Iter	Nodes
done	5000
2	967
1	288
0	119

prune308.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 3 expressions with local error:

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

rewrite38.0ms

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` `insert-posit16` `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 → 71

Calls

3 calls:

16.0ms	(/ (sinh y) x)
1.0ms	(sinh y)
17.0ms	(* (sin x) (/ (sinh y) x))

series629.0ms

Counts

3 → 9

Calls

3 calls:

415.0ms	(/ (sinh y) x)
86.0ms	(sinh y)
128.0ms	(* (sin x) (/ (sinh y) x))

simplify1.8s

Counts

80 → 80

Iterations

Iter	Nodes
done	5135
3	3484
2	1028
1	343
0	143

prune256.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (sin x) (+ (/ (* (* 1/6 (* y y)) y) x) (+ (/ (pow y 5) (/ x 1/120)) (/ y x))))
0.2b	(* 1/6 (* y y))
4.3b	(/ (pow y 5) (/ x 1/120))
5.2b	(/ (* (* 1/6 (* y y)) y) x)

rewrite1.3s

Algorithm

rewrite-expression-head

Rules

166×	`times-frac`
98×	`*-un-lft-identity`
96×	`add-sqr-sqrt`
93×	`add-cube-cbrt`
42×	`unpow-prod-down`
38×	`add-exp-log`
30×	`add-cbrt-cube`
16×	`associate-/r*`
14×	`sqr-pow`
13×	`div-exp`
11×	`pow1`
10×	`prod-exp` `cbrt-unprod` `div-inv`
8×	`associate-/l*`
7×	`cbrt-undiv`
6×	`associate-r` `associate-l`
5×	`associate-*r/`
4×	`pow-prod-down` `frac-add` `insert-posit16` `add-log-exp`
3×	`distribute-lft-out`
2×	`pow-to-exp` `clear-num` `frac-2neg` `flip3-+` `pow-exp` `*-commutative` `flip-+` `unswap-sqr`
1×	`distribute-rgt-in` `distribute-lft-in` `associate-/r/`

Counts

4 → 205

Calls

4 calls:

1.2s	(* (sin x) (+ (/ (* (* 1/6 (* y y)) y) x) (+ (/ (pow y 5) (/ x 1/120)) (/ y x))))
22.0ms	(* 1/6 (* y y))
13.0ms	(/ (pow y 5) (/ x 1/120))
56.0ms	(/ (* (* 1/6 (* y y)) y) x)

series382.0ms

Counts

4 → 12

Calls

4 calls:

230.0ms	(* (sin x) (+ (/ (* (* 1/6 (* y y)) y) x) (+ (/ (pow y 5) (/ x 1/120)) (/ y x))))
53.0ms	(* 1/6 (* y y))
47.0ms	(/ (pow y 5) (/ x 1/120))
53.0ms	(/ (* (* 1/6 (* y y)) y) x)

simplify2.4s

Counts

217 → 217

Iterations

Iter	Nodes
done	5000
2	4828
1	1183
0	412

prune1.1s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize47.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (/ (sin x) x) y)
0.2b	(/ x (sin x))
0.2b	(* y (* y 1/6))
0.4b	(* y 1/6)

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 99

Calls

4 calls:

26.0ms	(* (/ (sin x) x) y)
5.0ms	(/ x (sin x))
19.0ms	(* y (* y 1/6))
8.0ms	(* y 1/6)

series151.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(* (/ (sin x) x) y)
30.0ms	(/ x (sin x))
38.0ms	(* y (* y 1/6))
30.0ms	(* y 1/6)

simplify1.3s

Counts

111 → 111

Iterations

Iter	Nodes
done	5001
2	1112
1	371
0	156

prune673.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes231.0ms

Accuracy

0% (0.6b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 0.7b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	26
1	26
0	18

end0.0ms

sample4.4s

Algorithm

intervals

Results

1.7s	1818×	body	1280	valid
1.1s	10255×	body	80	valid
817.0ms	1860×	body	640	valid
322.0ms	1071×	body	320	valid
118.0ms	641×	body	160	valid