Details

sample73.0ms

Algorithm

intervals

Results

29.0ms	89×	body	1280	valid
13.0ms	297×	body	80	valid
11.0ms	59×	body	640	valid
4.0ms	35×	body	320	valid
2.0ms	19×	body	160	valid

simplify6.6s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	7
1	15	7
2	27	7
3	53	7
4	98	7
5	154	7
6	306	7
7	750	7
8	1539	7
9	3333	7
done	5001	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite13.0ms

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:

8.0ms	(* (cosh x) (/ (sin y) y))
3.0ms	(/ (sin y) y)

series106.0ms

Counts

2 → 6

Calls

2 calls:

76.0ms	(* (cosh x) (/ (sin y) y))
30.0ms	(/ (sin y) y)

simplify500.0ms

Counts

71 → 71

Iterations

Useful iterations: done (499.0ms)

Iter	Nodes	Cost
0	124	689
1	276	656
2	1095	592
done	5000	576

prune180.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

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)))

rewrite37.0ms

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:

21.0ms	(* (cosh x) (/ 1 (/ y (sin y))))
2.0ms	(/ y (sin y))
6.0ms	(/ 1 (/ y (sin y)))

series130.0ms

Counts

3 → 9

Calls

3 calls:

77.0ms	(* (cosh x) (/ 1 (/ y (sin y))))
23.0ms	(/ y (sin y))
30.0ms	(/ 1 (/ y (sin y)))

simplify1.6s

Counts

193 → 193

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	265	2378
1	641	2016
2	2477	1643
done	5000	1627

prune376.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
16×	`add-cube-cbrt` `*-un-lft-identity`
15×	`add-exp-log` `add-cbrt-cube`
11×	`pow1`
10×	`cosh-def` `sqrt-div`
9×	`times-frac` `sqrt-prod`
6×	`associate-l`
5×	`frac-times` `associate-*r/` `prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow-prod-down` `associate-l/` `associate-/r` `associate-/l*`
2×	`cbrt-undiv` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `div-exp`
1×	`frac-2neg` `associate-r` `clear-num` `*-commutative` `div-inv`

Counts

4 → 93

Calls

4 calls:

1.0ms	(sqrt (cosh x))
1.0ms	(sqrt (cosh x))
20.0ms	(* (sqrt (cosh x)) (* (sqrt (cosh x)) (/ (sin y) y)))
3.0ms	(/ (sin y) y)

series235.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(sqrt (cosh x))
68.0ms	(sqrt (cosh x))
78.0ms	(* (sqrt (cosh x)) (* (sqrt (cosh x)) (/ (sin y) y)))
26.0ms	(/ (sin y) y)

simplify482.0ms

Counts

105 → 105

Iterations

Useful iterations: done (477.0ms)

Iter	Nodes	Cost
0	155	1092
1	339	899
2	1103	786
done	5000	770

prune288.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp x) (exp (- x)))
0.1b	(/ (sin y) y)
0.2b	(/ (* (sqrt (+ (exp x) (exp (- x)))) (* (sqrt (cosh x)) (/ (sin y) y))) (sqrt 2))
0.2b	(* (sqrt (+ (exp x) (exp (- x)))) (* (sqrt (cosh x)) (/ (sin y) y)))

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-exp-log` `add-cbrt-cube`
28×	`sqrt-div`
23×	`*-un-lft-identity`
19×	`add-sqr-sqrt` `add-cube-cbrt`
18×	`frac-times`
15×	`times-frac`
12×	`cosh-def` `associate-*r/`
11×	`associate-/l/`
10×	`associate-*l/` `prod-exp` `sqrt-prod` `cbrt-unprod`
9×	`pow1` `flip3-+` `associate-/r*` `flip-+`
7×	`cbrt-undiv` `div-exp` `associate-l`
6×	`add-log-exp`
4×	`expm1-log1p-u` `log1p-expm1-u` `associate-/l*`
3×	`fma-def` `pow-prod-down`
2×	`frac-2neg` `clear-num` `div-inv` `distribute-lft-out`
1×	`+-commutative` `associate-r` `sum-log` `*-commutative`

Counts

4 → 127

Calls

4 calls:

6.0ms	(+ (exp x) (exp (- x)))
3.0ms	(/ (sin y) y)
26.0ms	(/ (* (sqrt (+ (exp x) (exp (- x)))) (* (sqrt (cosh x)) (/ (sin y) y))) (sqrt 2))
34.0ms	(* (sqrt (+ (exp x) (exp (- x)))) (* (sqrt (cosh x)) (/ (sin y) y)))

series409.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(+ (exp x) (exp (- x)))
25.0ms	(/ (sin y) y)
204.0ms	(/ (* (sqrt (+ (exp x) (exp (- x)))) (* (sqrt (cosh x)) (/ (sin y) y))) (sqrt 2))
156.0ms	(* (sqrt (+ (exp x) (exp (- x)))) (* (sqrt (cosh x)) (/ (sin y) y)))

simplify818.0ms

Counts

139 → 139

Iterations

Useful iterations: 2 (196.0ms)

Iter	Nodes	Cost
0	244	2513
1	591	2251
2	2378	1954
done	5000	1954

prune520.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

regimes135.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	19
1	19	19
done	19	19

end0.0ms

sample2.2s

Algorithm

intervals

Results

884.0ms	2914×	body	1280	valid
454.0ms	2449×	body	640	valid
368.0ms	8590×	body	80	valid
155.0ms	1187×	body	320	valid
62.0ms	696×	body	160	valid