Details

sample107.0ms

Algorithm

intervals

Results

40.0ms	103×	body	1280	valid
22.0ms	83×	body	640	valid
14.0ms	244×	body	80	valid
7.0ms	38×	body	320	valid
3.0ms	22×	body	160	valid

simplify63.0ms

Counts: 1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 3 expressions with local error:

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

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×	`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:

1.0ms	(sinh y)
19.0ms	(* (sin x) (/ (sinh y) y))
10.0ms	(/ (sinh y) y)

series270.0ms

Counts

3 → 9

Calls

3 calls:

67.0ms	(sinh y)
110.0ms	(* (sin x) (/ (sinh y) y))
93.0ms	(/ (sinh y) y)

simplify40.0ms

Counts: 77 → 77

prune174.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
27×	`times-frac`
16×	`associate-r`
13×	`add-exp-log` `sqrt-prod` `add-cbrt-cube`
9×	`pow1`
6×	`associate-/r` `associate-/l`
4×	`sqrt-div` `add-log-exp`
3×	`sinh-def` `associate-*r/` `pow-prod-down` `prod-exp` `cbrt-unprod` `div-inv`
2×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `associate-/l/`
1×	`frac-times` `associate-l` `associate-l/` `-commutative`

Counts

4 → 98

Calls

4 calls:

1.0ms	(sinh y)
8.0ms	(/ (sinh y) y)
8.0ms	(/ (sinh y) y)
55.0ms	(* (* (sin x) (sqrt (/ (sinh y) y))) (sqrt (/ (sinh y) y)))

series385.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(sinh y)
91.0ms	(/ (sinh y) y)
89.0ms	(/ (sinh y) y)
137.0ms	(* (* (sin x) (sqrt (/ (sinh y) y))) (sqrt (/ (sinh y) y)))

simplify71.0ms

Counts: 110 → 110

prune339.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.1b	(* (sinh y) (sin x))
14.5b	(/ (* (sinh y) (sin x)) y)

rewrite30.0ms

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` `div-exp` `associate-*l/` `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:

1.0ms	(sinh y)
13.0ms	(* (sinh y) (sin x))
15.0ms	(/ (* (sinh y) (sin x)) y)

series240.0ms

Counts

3 → 9

Calls

3 calls:

67.0ms	(sinh y)
87.0ms	(* (sinh y) (sin x))
85.0ms	(/ (* (sinh y) (sin x)) y)

simplify36.0ms

Counts: 58 → 58

prune116.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes62.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

end0.0ms

sample4.0s

Algorithm

intervals

Results

1.9s	2993×	body	1280	valid
688.0ms	2492×	body	640	valid
579.0ms	8460×	body	80	valid
263.0ms	1258×	body	320	valid
76.0ms	656×	body	160	valid