Details

sample80.0ms

Algorithm

intervals

Results

29.0ms	104×	body	1280	valid
14.0ms	278×	body	80	valid
14.0ms	79×	body	640	valid
5.0ms	44×	body	320	valid
1.0ms	11×	body	160	valid

simplify56.0ms

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

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (cosh x) (/ (sin y) y))
0.1b	(/ (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` `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))
9.0ms	(/ (sin y) y)

series110.0ms

Counts

2 → 6

Calls

2 calls:

79.0ms	(* (cosh x) (/ (sin y) y))
31.0ms	(/ (sin y) y)

simplify41.0ms

Counts

71 → 71

Iterations

Useful iterations: 2 (36.0ms)

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

prune177.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

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)))

rewrite61.0ms

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:

33.0ms	(* (cosh x) (/ 1 (/ y (sin y))))
6.0ms	(/ y (sin y))
11.0ms	(/ 1 (/ y (sin y)))

series136.0ms

Counts

3 → 9

Calls

3 calls:

83.0ms	(* (cosh x) (/ 1 (/ y (sin y))))
25.0ms	(/ y (sin y))
28.0ms	(/ 1 (/ y (sin y)))

simplify77.0ms

Counts

193 → 193

Iterations

Useful iterations: 2 (66.0ms)

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

prune387.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp x) (exp (* -1 x)))
0.0b	(* (sin y) (+ (exp x) (exp (* -1 x))))
0.1b	(/ y (* (sin y) (+ (exp x) (exp (* -1 x)))))
0.1b	(/ 1/2 (/ y (* (sin y) (+ (exp x) (exp (* -1 x))))))

rewrite97.0ms

Algorithm

rewrite-expression-head

Rules

42×	`times-frac`
31×	`*-un-lft-identity`
29×	`add-sqr-sqrt`
27×	`add-cube-cbrt`
20×	`add-exp-log` `add-cbrt-cube`
12×	`associate-*r/`
11×	`associate-/r/`
10×	`associate-/r*`
7×	`cbrt-undiv` `flip3-+` `div-exp` `flip-+`
6×	`pow1` `div-inv` `associate-/l*` `add-log-exp`
4×	`expm1-log1p-u` `associate-r` `log1p-expm1-u`
3×	`fma-def` `associate-l` `prod-exp` `cbrt-unprod`
2×	`frac-2neg` `clear-num` `distribute-lft-out`
1×	`+-commutative` `distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `sum-log` `*-commutative` `unswap-sqr`

Counts

4 → 125

Calls

4 calls:

11.0ms	(+ (exp x) (exp (* -1 x)))
39.0ms	(* (sin y) (+ (exp x) (exp (* -1 x))))
19.0ms	(/ y (* (sin y) (+ (exp x) (exp (* -1 x)))))
24.0ms	(/ 1/2 (/ y (* (sin y) (+ (exp x) (exp (* -1 x))))))

series271.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(+ (exp x) (exp (* -1 x)))
61.0ms	(* (sin y) (+ (exp x) (exp (* -1 x))))
109.0ms	(/ y (* (sin y) (+ (exp x) (exp (* -1 x)))))
79.0ms	(/ 1/2 (/ y (* (sin y) (+ (exp x) (exp (* -1 x))))))

simplify71.0ms

Counts

137 → 137

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	530	1418
1	2540	1257
2	5001	1253
done	5001	1253

prune408.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (cosh x) (sin y))
0.2b	(* (* (cosh x) (sin y)) (/ 1 y))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-exp-log`
16×	`associate-r` `add-cbrt-cube`
13×	`add-sqr-sqrt` `prod-exp`
11×	`add-cube-cbrt` `*-un-lft-identity`
9×	`pow1` `times-frac`
7×	`cbrt-unprod`
4×	`div-exp` `associate-l` `pow-prod-down` `associate-*l/`
3×	`cosh-def`
2×	`cbrt-undiv` `expm1-log1p-u` `rec-exp` `1-exp` `*-commutative` `log1p-expm1-u` `add-log-exp`
1×	`frac-times` `associate-*r/` `un-div-inv` `div-inv` `unswap-sqr`

Counts

2 → 63

Calls

2 calls:

14.0ms	(* (cosh x) (sin y))
31.0ms	(* (* (cosh x) (sin y)) (/ 1 y))

series156.0ms

Counts

2 → 6

Calls

2 calls:

77.0ms	(* (cosh x) (sin y))
78.0ms	(* (* (cosh x) (sin y)) (/ 1 y))

simplify51.0ms

Counts

69 → 69

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	380	448
1	1782	365
2	5001	332
done	5001	332

prune124.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes157.0ms

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

856.0ms	3017×	body	1280	valid
465.0ms	2537×	body	640	valid
347.0ms	8645×	body	80	valid
154.0ms	1244×	body	320	valid
51.0ms	567×	body	160	valid