Details

sample100.0ms

Algorithm

intervals

Results

25.0ms	337×	body	80	valid
23.0ms	57×	body	1280	valid
19.0ms	67×	body	640	valid
9.0ms	47×	body	320	valid
2.0ms	20×	body	160	valid

simplify583.0ms

Counts: 1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.5b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.1b	(* (sin x) (sinh y))
17.4b	(/ (* (sin x) (sinh y)) x)

rewrite47.0ms

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×	`sinh-def` `times-frac` `associate-r` `associate-l` `associate-/r*` `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 → 49

Calls

3 calls:

2.0ms	(sinh y)
30.0ms	(* (sin x) (sinh y))
14.0ms	(/ (* (sin x) (sinh y)) x)

series270.0ms

Counts

3 → 9

Calls

3 calls:

61.0ms	(sinh y)
104.0ms	(* (sin x) (sinh y))
104.0ms	(/ (* (sin x) (sinh y)) x)

simplify541.0ms

Counts: 58 → 58

prune187.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
13×	`associate-r`
10×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
7×	`add-exp-log` `add-cbrt-cube`
4×	`pow1`
3×	`associate-l`
2×	`prod-exp` `cbrt-unprod` `add-log-exp` `unswap-sqr`
1×	`cbrt-undiv` `sinh-def` `associate-r/` `div-exp` `pow-prod-down` `-commutative` `div-inv`

Counts

2 → 40

Calls

2 calls:

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

series215.0ms

Counts

2 → 6

Calls

2 calls:

82.0ms	(sinh y)
133.0ms	(* (sin x) (/ (sinh y) x))

simplify459.0ms

Counts: 46 → 46

prune104.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ x (sinh y))
0.0b	(sinh y)
0.4b	(/ (sin x) (/ x (sinh y)))

rewrite25.0ms

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` `add-log-exp`
2×	`frac-2neg` `clear-num`

Counts

3 → 110

Calls

3 calls:

6.0ms	(/ x (sinh y))
1.0ms	(sinh y)
14.0ms	(/ (sin x) (/ x (sinh y)))

series336.0ms

Counts

3 → 9

Calls

3 calls:

153.0ms	(/ x (sinh y))
78.0ms	(sinh y)
104.0ms	(/ (sin x) (/ x (sinh y)))

simplify777.0ms

Counts: 119 → 119

prune415.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite43.0ms

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×	`sinh-def` `associate-r` `associate-/r` `associate-/l` `add-log-exp`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr`
1×	`frac-times` `frac-2neg` `associate-r/` `pow-prod-down` `associate-l/` `clear-num` `*-commutative`

Counts

3 → 69

Calls

3 calls:

2.0ms	(sinh y)
12.0ms	(/ (sin x) x)
26.0ms	(* (/ (sin x) x) (sinh y))

series248.0ms

Counts

3 → 9

Calls

3 calls:

81.0ms	(sinh y)
42.0ms	(/ (sin x) x)
125.0ms	(* (/ (sin x) x) (sinh y))

simplify1.8s

Counts: 78 → 78

prune206.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes86.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify706.0ms

end0.0ms

sample3.8s

Algorithm

intervals

Results

1.2s	10278×	body	80	valid
910.0ms	1811×	body	1280	valid
645.0ms	1899×	body	640	valid
310.0ms	1146×	body	320	valid
135.0ms	633×	body	160	valid