Details

sample81.0ms

Algorithm

intervals

Results

29.0ms	104×	body	1280	valid
17.0ms	79×	body	640	valid
11.0ms	278×	body	80	valid
6.0ms	44×	body	320	valid
1.0ms	11×	body	160	valid

simplify54.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	4
1	28	4
2	56	4
3	98	4
4	143	4
5	310	4
6	877	4
7	1824	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` `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:

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

series106.0ms

Counts

2 → 6

Calls

2 calls:

75.0ms	(* (cosh x) (/ (sin y) y))
31.0ms	(/ (sin y) y)

simplify36.0ms

Counts

67 → 67

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	263	392
1	1063	349
2	5001	337
done	5001	337

prune162.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

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)))

rewrite64.0ms

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:

34.0ms	(* (cosh x) (/ 1 (/ y (sin y))))
9.0ms	(/ y (sin y))
11.0ms	(/ 1 (/ y (sin y)))

series136.0ms

Counts

3 → 9

Calls

3 calls:

82.0ms	(* (cosh x) (/ 1 (/ y (sin y))))
23.0ms	(/ y (sin y))
31.0ms	(/ 1 (/ y (sin y)))

simplify74.0ms

Counts

187 → 187

Iterations

Useful iterations: 2 (62.0ms)

Iter	Nodes	Cost
0	616	1321
1	2986	1149
2	5001	1026
done	5001	1026

prune365.0ms

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`
30×	`*-un-lft-identity`
28×	`add-sqr-sqrt`
26×	`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×	`associate-r`
3×	`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 → 114

Calls

4 calls:

11.0ms	(+ (exp x) (exp (* -1 x)))
39.0ms	(* (sin y) (+ (exp x) (exp (* -1 x))))
16.0ms	(/ y (* (sin y) (+ (exp x) (exp (* -1 x)))))
27.0ms	(/ 1/2 (/ y (* (sin y) (+ (exp x) (exp (* -1 x))))))

series252.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(+ (exp x) (exp (* -1 x)))
51.0ms	(* (sin y) (+ (exp x) (exp (* -1 x))))
108.0ms	(/ y (* (sin y) (+ (exp x) (exp (* -1 x)))))
71.0ms	(/ 1/2 (/ y (* (sin y) (+ (exp x) (exp (* -1 x))))))

simplify64.0ms

Counts

126 → 126

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	513	1359
1	2468	1200
2	5001	1198
done	5001	1198

prune354.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (cosh x) y)
0.3b	(* (/ (cosh x) y) (sin y))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 60

Calls

2 calls:

6.0ms	(/ (cosh x) y)
22.0ms	(* (/ (cosh x) y) (sin y))

series138.0ms

Counts

2 → 6

Calls

2 calls:

57.0ms	(/ (cosh x) y)
80.0ms	(* (/ (cosh x) y) (sin y))

simplify34.0ms

Counts

66 → 66

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	282	386
1	974	341
2	5001	324
done	5001	324

prune147.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0b

regimes166.0ms

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

sample2.6s

Algorithm

intervals

Results

877.0ms	3017×	body	1280	valid
570.0ms	8645×	body	80	valid
475.0ms	2537×	body	640	valid
164.0ms	1244×	body	320	valid
49.0ms	567×	body	160	valid