Details

sample64.0ms

Algorithm

intervals

Results

19.0ms	69×	body	1280	valid
13.0ms	321×	body	80	valid
10.0ms	55×	body	640	valid
4.0ms	36×	body	320	valid
1.0ms	13×	body	160	valid

simplify8.3s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	15	7
2	32	7
3	69	7
4	146	7
5	287	7
6	519	7
7	1124	7
8	2229	7
9	3908	7
done	5000	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.1b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.2b	(* (sin x) (sinh y))
15.1b	(/ (* (sin x) (sinh y)) x)

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-exp-log` `add-cbrt-cube`
9×	`add-sqr-sqrt`
7×	`add-cube-cbrt` `*-un-lft-identity`
5×	`pow1`
3×	`expm1-log1p-u` `sinh-def` `times-frac` `associate-r` `associate-l` `associate-/r*` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-undiv` `associate-*r/` `div-exp` `prod-exp` `cbrt-unprod`
1×	`frac-2neg` `pow-prod-down` `clear-num` `-commutative` `div-inv` `associate-/l/` `associate-/l` `unswap-sqr`

Counts

3 → 55

Calls

3 calls:

1.0ms	(sinh y)
12.0ms	(* (sin x) (sinh y))
14.0ms	(/ (* (sin x) (sinh y)) x)

series255.0ms

Counts

3 → 9

Calls

3 calls:

63.0ms	(sinh y)
90.0ms	(* (sin x) (sinh y))
102.0ms	(/ (* (sin x) (sinh y)) x)

simplify1.1s

Counts

64 → 64

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	123	572
1	282	546
2	1023	475
done	5000	455

prune148.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite32.0ms

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×	`expm1-log1p-u` `associate-l` `associate-/r` `log1p-expm1-u` `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 → 74

Calls

3 calls:

7.0ms	(/ (sinh y) x)
1.0ms	(sinh y)
21.0ms	(* (sin x) (/ (sinh y) x))

series243.0ms

Counts

3 → 9

Calls

3 calls:

80.0ms	(/ (sinh y) x)
60.0ms	(sinh y)
102.0ms	(* (sin x) (/ (sinh y) x))

simplify1.8s

Counts

83 → 83

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	146	770
1	332	727
2	1055	656
3	3529	655
done	5001	642

prune190.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt x) (cbrt x))
0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 81

Calls

4 calls:

11.0ms	(* (cbrt x) (cbrt x))
4.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series774.0ms

Counts

4 → 12

Calls

4 calls:

210.0ms	(* (cbrt x) (cbrt x))
196.0ms	(cbrt x)
183.0ms	(cbrt x)
185.0ms	(cbrt x)

simplify3.4s

Counts

93 → 93

Iterations

Useful iterations: done (3.4s)

Iter	Nodes	Cost
0	65	554
1	119	443
2	327	423
3	1104	405
4	4523	400
done	5001	390

prune242.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.0b	(/ x (sinh y))
1.2b	(/ (sin x) (/ x (sinh y)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

87×	`times-frac`
54×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
17×	`associate-/r*`
10×	`add-exp-log` `add-cbrt-cube`
6×	`sinh-def` `associate-/r/` `div-inv` `associate-/l*`
4×	`cbrt-undiv` `div-exp`
3×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`frac-2neg` `clear-num`

Counts

3 → 116

Calls

3 calls:

1.0ms	(sinh y)
9.0ms	(/ x (sinh y))
14.0ms	(/ (sin x) (/ x (sinh y)))

series285.0ms

Counts

3 → 9

Calls

3 calls:

66.0ms	(sinh y)
115.0ms	(/ x (sinh y))
104.0ms	(/ (sin x) (/ x (sinh y)))

simplify2.3s

Counts

125 → 125

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	221	1576
1	467	1485
2	1470	1406
3	4907	1388
done	5000	1387

prune313.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes65.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	7	7
done	7	7

end0.0ms

sample2.1s

Algorithm

intervals

Results

628.0ms	10254×	body	80	valid
518.0ms	1853×	body	1280	valid
359.0ms	1911×	body	640	valid
149.0ms	1148×	body	320	valid
50.0ms	587×	body	160	valid