Details

sample190.0ms

Algorithm

intervals

Results

60.0ms	89×	body	1280	valid
58.0ms	80×	body	640	valid
25.0ms	260×	body	80	valid
14.0ms	48×	body	320	valid
5.0ms	25×	body	160	valid

simplify977.0ms

Counts: 1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.6b

localize9.0ms

Local error

Found 2 expressions with local error:

0.1b	(/ (sin y) y)
0.5b	(* (cosh x) (/ (sin y) y))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
19×	`times-frac`
18×	`add-cube-cbrt` `*-un-lft-identity`
13×	`associate-r`
9×	`add-exp-log` `add-cbrt-cube`
4×	`pow1`
3×	`associate-l` `associate-/r` `associate-/l`
2×	`cbrt-undiv` `cosh-def` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `add-log-exp` `unswap-sqr`
1×	`frac-times` `frac-2neg` `associate-r/` `pow-prod-down` `associate-l/` `clear-num` `*-commutative`

Counts

2 → 61

Calls

2 calls:

8.0ms	(/ (sin y) y)
16.0ms	(* (cosh x) (/ (sin y) y))

series140.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(/ (sin y) y)
103.0ms	(* (cosh x) (/ (sin y) y))

simplify656.0ms

Counts: 67 → 67

prune235.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.5b

localize9.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ y (sin y))
0.2b	(/ 1 (/ y (sin y)))
0.5b	(* (cosh x) (/ 1 (/ y (sin y))))

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

156×	`times-frac`
103×	`add-sqr-sqrt`
91×	`*-un-lft-identity`
89×	`add-cube-cbrt`
44×	`associate-r`
35×	`add-exp-log`
19×	`add-cbrt-cube`
16×	`associate-/r*`
15×	`div-exp`
10×	`div-inv`
7×	`cbrt-undiv` `prod-exp`
6×	`pow1` `associate-/l*`
5×	`unswap-sqr`
4×	`rec-exp` `1-exp`
3×	`associate-l` `cbrt-unprod` `add-log-exp`
2×	`cosh-def` `frac-2neg` `clear-num` `associate-/r/`
1×	`frac-times` `pow-flip` `associate-r/` `pow-prod-down` `associate-l/` `un-div-inv` `*-commutative` `inv-pow`

Counts

3 → 178

Calls

3 calls:

6.0ms	(/ y (sin y))
11.0ms	(/ 1 (/ y (sin y)))
42.0ms	(* (cosh x) (/ 1 (/ y (sin y))))

series156.0ms

Counts

3 → 9

Calls

3 calls:

24.0ms	(/ y (sin y))
32.0ms	(/ 1 (/ y (sin y)))
100.0ms	(* (cosh x) (/ 1 (/ y (sin y))))

simplify1.2s

Counts: 187 → 187

prune584.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.5b

localize11.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ 1 (sin y))
0.2b	(/ (/ 1 y) (/ 1 (sin y)))
0.5b	(* (cosh x) (/ (/ 1 y) (/ 1 (sin y))))

rewrite218.0ms

Algorithm

rewrite-expression-head

Rules

854×	`times-frac`
426×	`add-sqr-sqrt`
397×	`*-un-lft-identity`
391×	`add-cube-cbrt`
174×	`associate-r`
105×	`add-exp-log`
66×	`div-exp`
57×	`div-inv`
35×	`add-cbrt-cube`
17×	`cbrt-undiv` `rec-exp` `1-exp` `prod-exp`
16×	`associate-/r` `associate-/l`
10×	`unswap-sqr`
6×	`pow1`
5×	`cbrt-unprod`
3×	`associate-l` `add-log-exp`
2×	`cosh-def` `frac-2neg` `clear-num` `associate-/r/`
1×	`frac-times` `pow-flip` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative` `associate-/l/` `inv-pow`

Counts

3 → 479

Calls

3 calls:

7.0ms	(/ 1 (sin y))
19.0ms	(/ (/ 1 y) (/ 1 (sin y)))
142.0ms	(* (cosh x) (/ (/ 1 y) (/ 1 (sin y))))

series158.0ms

Counts

3 → 9

Calls

3 calls:

15.0ms	(/ 1 (sin y))
37.0ms	(/ (/ 1 y) (/ 1 (sin y)))
106.0ms	(* (cosh x) (/ (/ 1 y) (/ 1 (sin y))))

simplify1.0s

Counts: 488 → 488

prune1.7s

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 0.5b

localize9.0ms

Local error

Found 2 expressions with local error:

0.3b	(* (/ 1 y) (sin y))
0.5b	(* (cosh x) (* (/ 1 y) (sin y)))

rewrite93.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-exp-log`
18×	`add-sqr-sqrt`
16×	`associate-l` `add-cbrt-cube`
13×	`prod-exp`
12×	`*-un-lft-identity`
11×	`add-cube-cbrt` `times-frac`
9×	`pow1`
7×	`cbrt-unprod`
4×	`div-exp` `associate-r` `pow-prod-down` `associate-*l/`
3×	`unswap-sqr`
2×	`cbrt-undiv` `rec-exp` `cosh-def` `1-exp` `*-commutative` `add-log-exp`
1×	`frac-times` `associate-*r/` `div-inv`

Counts

2 → 60

Calls

2 calls:

33.0ms	(* (/ 1 y) (sin y))
57.0ms	(* (cosh x) (* (/ 1 y) (sin y)))

series132.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(* (/ 1 y) (sin y))
101.0ms	(* (cosh x) (* (/ 1 y) (sin y)))

simplify572.0ms

Counts: 66 → 66

prune226.0ms

Pruning

11 alts after pruning (7 fresh and 4 done)

Merged error: 0.5b

regimes228.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify732.0ms

end0.0ms

sample4.6s

Algorithm

intervals

Results

1.4s	2394×	body	640	valid
1.4s	2909×	body	1280	valid
641.0ms	8447×	body	80	valid
352.0ms	1291×	body	320	valid
204.0ms	631×	body	160	valid