Details

sample64.0ms

Algorithm

intervals

Results

18.0ms	63×	body	1280	valid
14.0ms	345×	body	80	valid
12.0ms	61×	body	640	valid
5.0ms	35×	body	320	valid
2.0ms	18×	body	160	valid

simplify3.9s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	7
1	15	7
2	32	7
3	68	7
4	145	7
5	273	7
6	509	7
7	1162	7
8	2310	7
9	3329	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)
0.1b	(* (sin x) (sinh y))
15.1b	(/ (* (sin x) (sinh y)) x)

rewrite10.0ms

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:

0.0ms	(sinh y)
4.0ms	(* (sin x) (sinh y))
4.0ms	(/ (* (sin x) (sinh y)) x)

series242.0ms

Counts

3 → 9

Calls

3 calls:

62.0ms	(sinh y)
84.0ms	(* (sin x) (sinh y))
95.0ms	(/ (* (sin x) (sinh y)) x)

simplify584.0ms

Counts

64 → 64

Iterations

Useful iterations: done (582.0ms)

Iter	Nodes	Cost
0	123	572
1	291	546
2	1080	475
done	5000	447

prune154.0ms

Pruning

7 alts after pruning (6 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)
0.4b	(* (/ (sinh y) x) (sin x))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
19×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
13×	`associate-l`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1`
3×	`expm1-log1p-u` `associate-r` `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` `pow-prod-down` `associate-l/` `clear-num` `-commutative` `associate-/l/`

Counts

3 → 74

Calls

3 calls:

2.0ms	(/ (sinh y) x)
1.0ms	(sinh y)
9.0ms	(* (/ (sinh y) x) (sin x))

series224.0ms

Counts

3 → 9

Calls

3 calls:

74.0ms	(/ (sinh y) x)
63.0ms	(sinh y)
86.0ms	(* (/ (sinh y) x) (sin x))

simplify2.3s

Counts

83 → 83

Iterations

Useful iterations: 3 (867.0ms)

Iter	Nodes	Cost
0	147	753
1	344	722
2	981	649
3	4931	610
done	5000	610

prune193.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.2b	(* (sinh y) (/ 1 x))
0.4b	(* (* (sinh y) (/ 1 x)) (sin x))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-exp-log`
19×	`add-sqr-sqrt`
17×	`add-cbrt-cube`
16×	`associate-r`
13×	`*-un-lft-identity` `prod-exp`
12×	`add-cube-cbrt`
11×	`times-frac`
10×	`pow1`
7×	`cbrt-unprod`
6×	`associate-*l/`
5×	`sinh-def`
4×	`div-exp` `associate-l` `pow-prod-down`
3×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`cbrt-undiv` `frac-times` `rec-exp` `1-exp` `associate-r/` `un-div-inv` `-commutative`
1×	`div-inv`

Counts

3 → 78

Calls

3 calls:

0.0ms	(sinh y)
8.0ms	(* (sinh y) (/ 1 x))
18.0ms	(* (* (sinh y) (/ 1 x)) (sin x))

series222.0ms

Counts

3 → 9

Calls

3 calls:

62.0ms	(sinh y)
74.0ms	(* (sinh y) (/ 1 x))
86.0ms	(* (* (sinh y) (/ 1 x)) (sin x))

simplify920.0ms

Counts

87 → 87

Iterations

Useful iterations: done (917.0ms)

Iter	Nodes	Cost
0	168	898
1	430	715
2	1332	592
done	5000	558

prune179.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ x (sinh y))
0.0b	(sinh y)
0.7b	(/ (sin x) (/ x (sinh y)))

rewrite14.0ms

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:

2.0ms	(/ x (sinh y))
0.0ms	(sinh y)
7.0ms	(/ (sin x) (/ x (sinh y)))

series272.0ms

Counts

3 → 9

Calls

3 calls:

113.0ms	(/ x (sinh y))
60.0ms	(sinh y)
98.0ms	(/ (sin x) (/ x (sinh y)))

simplify728.0ms

Counts

125 → 125

Iterations

Useful iterations: done (725.0ms)

Iter	Nodes	Cost
0	221	1576
1	487	1485
2	1688	1402
done	5000	1374

prune309.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0b

regimes104.0ms

Accuracy

0% (0.2b 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	8	9
1	10	9
done	10	9

end0.0ms

sample1.9s

Algorithm

intervals

Results

566.0ms	1899×	body	1280	valid
438.0ms	10307×	body	80	valid
387.0ms	2028×	body	640	valid
155.0ms	1168×	body	320	valid
52.0ms	577×	body	160	valid