Details

sample110.0ms

Algorithm

intervals

Results

37.0ms	69×	body	1280	valid
21.0ms	311×	body	80	valid
18.0ms	58×	body	640	valid
6.0ms	28×	body	320	valid
2.0ms	16×	body	160	valid

simplify710.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.7b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.1b	(* (sin x) (sinh y))
12.7b	(/ (* (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:

18.0ms	(sinh y)
13.0ms	(* (sin x) (sinh y))
15.0ms	(/ (* (sin x) (sinh y)) x)

series278.0ms

Counts

3 → 9

Calls

3 calls:

68.0ms	(sinh y)
99.0ms	(* (sin x) (sinh y))
111.0ms	(/ (* (sin x) (sinh y)) x)

simplify566.0ms

Counts: 58 → 58

prune211.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite48.0ms

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×	`associate-l` `associate-/r` `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 → 68

Calls

3 calls:

2.0ms	(sinh y)
12.0ms	(/ (sinh y) x)
31.0ms	(* (sin x) (/ (sinh y) x))

series343.0ms

Counts

3 → 9

Calls

3 calls:

87.0ms	(sinh y)
111.0ms	(/ (sinh y) x)
144.0ms	(* (sin x) (/ (sinh y) x))

simplify576.0ms

Counts: 77 → 77

prune186.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(sinh y)
0.0b	(/ x (sinh y))
0.1b	(* (sin x) (/ 1 (/ x (sinh y))))
0.7b	(/ 1 (/ x (sinh y)))

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

162×	`times-frac`
106×	`add-sqr-sqrt`
94×	`*-un-lft-identity`
92×	`add-cube-cbrt`
47×	`associate-r`
36×	`add-exp-log`
20×	`add-cbrt-cube`
17×	`associate-/r*`
15×	`div-exp`
10×	`associate-/r/` `div-inv`
9×	`sinh-def`
7×	`pow1` `cbrt-undiv` `prod-exp`
6×	`associate-/l*`
5×	`unswap-sqr`
4×	`rec-exp` `1-exp` `add-log-exp`
3×	`associate-l` `cbrt-unprod`
2×	`frac-2neg` `clear-num`
1×	`pow-flip` `associate-r/` `pow-prod-down` `un-div-inv` `-commutative` `inv-pow`

Counts

4 → 192

Calls

4 calls:

1.0ms	(sinh y)
6.0ms	(/ x (sinh y))
39.0ms	(* (sin x) (/ 1 (/ x (sinh y))))
17.0ms	(/ 1 (/ x (sinh y)))

series459.0ms

Counts

4 → 12

Calls

4 calls:

75.0ms	(sinh y)
160.0ms	(/ x (sinh y))
119.0ms	(* (sin x) (/ 1 (/ x (sinh y))))
105.0ms	(/ 1 (/ x (sinh y)))

simplify1.2s

Counts: 204 → 204

prune495.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (sin x) (sqrt (/ (sinh y) x)))
0.2b	(* (* (sin x) (sqrt (/ (sinh y) x))) (sqrt (/ (sinh y) x)))
13.9b	(sqrt (/ (sinh y) x))
13.9b	(sqrt (/ (sinh y) x))

rewrite127.0ms

Algorithm

rewrite-expression-head

Rules

54×	`sqrt-prod`
48×	`add-sqr-sqrt`
39×	`times-frac`
35×	`add-cube-cbrt` `*-un-lft-identity`
32×	`associate-r`
13×	`pow1`
11×	`add-exp-log` `add-cbrt-cube`
7×	`sqrt-div`
4×	`rem-sqrt-square` `associate-r/` `associate-l*` `pow-prod-down` `prod-exp` `cbrt-unprod` `div-inv` `add-log-exp`
3×	`unswap-sqr`
2×	`sqrt-pow1` `pow1/2` `*-commutative`
1×	`frac-times` `associate-*l/`

Counts

4 → 118

Calls

4 calls:

34.0ms	(* (sin x) (sqrt (/ (sinh y) x)))
73.0ms	(* (* (sin x) (sqrt (/ (sinh y) x))) (sqrt (/ (sinh y) x)))
6.0ms	(sqrt (/ (sinh y) x))
7.0ms	(sqrt (/ (sinh y) x))

series915.0ms

Counts

4 → 12

Calls

4 calls:

249.0ms	(* (sin x) (sqrt (/ (sinh y) x)))
241.0ms	(* (* (sin x) (sqrt (/ (sinh y) x))) (sqrt (/ (sinh y) x)))
208.0ms	(sqrt (/ (sinh y) x))
215.0ms	(sqrt (/ (sinh y) x))

simplify2.2s

Counts: 130 → 130

prune595.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes114.0ms

Accuracy

93.3% (0.1b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 0.9b

bsearch0.0ms

simplify942.0ms

end0.0ms

sample4.0s

Algorithm

intervals

Results

1.1s	10163×	body	80	valid
1.1s	1873×	body	1280	valid
637.0ms	1874×	body	640	valid
339.0ms	1112×	body	320	valid
175.0ms	588×	body	160	valid