Details

sample75.0ms

Algorithm

intervals

Results

29.0ms	104×	body	1280	valid
13.0ms	79×	body	640	valid
11.0ms	278×	body	80	valid
5.0ms	44×	body	320	valid
1.0ms	11×	body	160	valid

simplify57.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	15	4
1	28	4
2	56	4
3	102	4
4	153	4
5	334	4
6	924	4
7	1912	4
8	5001	4
done	5001	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite25.0ms

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` `expm1-log1p-u` `cosh-def` `div-exp` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `div-inv` `add-log-exp` `unswap-sqr`
1×	`frac-times` `frac-2neg` `associate-r/` `pow-prod-down` `associate-l/` `clear-num` `*-commutative`

Counts

2 → 65

Calls

2 calls:

15.0ms	(* (cosh x) (/ (sin y) y))
8.0ms	(/ (sin y) y)

series108.0ms

Counts

2 → 6

Calls

2 calls:

81.0ms	(* (cosh x) (/ (sin y) y))
27.0ms	(/ (sin y) y)

simplify37.0ms

Counts

71 → 71

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	271	408
1	1085	363
2	5001	351
done	5001	351

prune169.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (cosh x) (/ 1 (/ y (sin y))))
0.1b	(/ y (sin y))
0.1b	(/ 1 (/ y (sin y)))

rewrite60.0ms

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×	`expm1-log1p-u` `associate-l` `cbrt-unprod` `log1p-expm1-u` `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 → 184

Calls

3 calls:

36.0ms	(* (cosh x) (/ 1 (/ y (sin y))))
5.0ms	(/ y (sin y))
11.0ms	(/ 1 (/ y (sin y)))

series138.0ms

Counts

3 → 9

Calls

3 calls:

83.0ms	(* (cosh x) (/ 1 (/ y (sin y))))
29.0ms	(/ y (sin y))
27.0ms	(/ 1 (/ y (sin y)))

simplify78.0ms

Counts

193 → 193

Iterations

Useful iterations: 2 (66.0ms)

Iter	Nodes	Cost
0	628	1345
1	3020	1171
2	5002	1048
done	5002	1048

prune370.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.1b	(/ y (sin y))
0.1b	(/ (* 2 (cosh x)) (* 2 (/ y (sin y))))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-exp-log` `add-cbrt-cube`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `times-frac`
9×	`cbrt-undiv` `div-exp`
7×	`prod-exp` `cbrt-unprod`
4×	`associate-/r` `associate-/l`
2×	`pow1` `expm1-log1p-u` `frac-2neg` `associate-*r/` `clear-num` `log1p-expm1-u` `div-inv` `add-log-exp`
1×	`cosh-def` `associate-/r/` `associate-/l/`

Counts

2 → 58

Calls

2 calls:

5.0ms	(/ y (sin y))
22.0ms	(/ (* 2 (cosh x)) (* 2 (/ y (sin y))))

series106.0ms

Counts

2 → 6

Calls

2 calls:

24.0ms	(/ y (sin y))
83.0ms	(/ (* 2 (cosh x)) (* 2 (/ y (sin y))))

simplify54.0ms

Counts

64 → 64

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	353	434
1	2029	322
2	5003	321
done	5003	321

prune146.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ 1 (sin y))
0.1b	(/ (* 2 (cosh x)) (* 2 (* y (/ 1 (sin y)))))
0.2b	(* y (/ 1 (sin y)))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

66×	`add-exp-log`
42×	`add-cbrt-cube`
28×	`prod-exp`
26×	`add-sqr-sqrt`
21×	`times-frac`
20×	`*-un-lft-identity` `div-exp`
19×	`add-cube-cbrt`
16×	`cbrt-unprod`
13×	`associate-r`
12×	`cbrt-undiv`
6×	`pow1`
5×	`associate-*r/`
4×	`rec-exp` `1-exp` `associate-/r` `associate-/l`
3×	`expm1-log1p-u` `associate-l` `log1p-expm1-u` `div-inv` `add-log-exp` `unswap-sqr`
2×	`frac-2neg` `clear-num` `associate-/r/` `un-div-inv`
1×	`cosh-def` `pow-flip` `pow-prod-down` `*-commutative` `associate-/l/` `inv-pow`

Counts

3 → 109

Calls

3 calls:

6.0ms	(/ 1 (sin y))
36.0ms	(/ (* 2 (cosh x)) (* 2 (* y (/ 1 (sin y)))))
17.0ms	(* y (/ 1 (sin y)))

series122.0ms

Counts

3 → 9

Calls

3 calls:

14.0ms	(/ 1 (sin y))
82.0ms	(/ (* 2 (cosh x)) (* 2 (* y (/ 1 (sin y)))))
25.0ms	(* y (/ 1 (sin y)))

simplify81.0ms

Counts

118 → 118

Iterations

Useful iterations: 2 (73.0ms)

Iter	Nodes	Cost
0	537	785
1	3104	554
2	5002	504
done	5002	504

prune198.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0b

regimes160.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	4
1	7	4
done	7	4

end0.0ms

sample2.3s

Algorithm

intervals

Results

874.0ms	3017×	body	1280	valid
448.0ms	2537×	body	640	valid
354.0ms	8645×	body	80	valid
162.0ms	1244×	body	320	valid
47.0ms	567×	body	160	valid