Details

sample79.0ms

Algorithm

intervals

Results

30.0ms	98×	body	1280	valid
14.0ms	78×	body	640	valid
11.0ms	261×	body	80	valid
6.0ms	44×	body	320	valid
3.0ms	29×	body	160	valid

simplify4.7s

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	96	7
5	137	7
6	249	7
7	538	7
8	1153	7
9	1833	7
10	2215	7
11	2315	7
done	2315	7

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite14.0ms

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:

3.0ms	(/ (sin y) y)
9.0ms	(* (cosh x) (/ (sin y) y))

series126.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(/ (sin y) y)
94.0ms	(* (cosh x) (/ (sin y) y))

simplify2.8s

Counts

71 → 71

Iterations

Useful iterations: 3 (1.8s)

Iter	Nodes	Cost
0	124	689
1	269	656
2	892	592
3	4065	590
done	5000	590

prune220.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.3b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (sin y) (+ (exp x) (exp (- x))))
0.4b	(/ (* (* (sin y) (+ (exp x) (exp (- x)))) 1/2) y)

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-exp-log` `add-cbrt-cube`
8×	`add-sqr-sqrt` `*-un-lft-identity`
6×	`add-cube-cbrt`
4×	`pow1` `associate-r/` `associate-r*` `prod-exp` `cbrt-unprod`
3×	`cbrt-undiv` `times-frac` `div-exp` `associate-l` `associate-/r*`
2×	`expm1-log1p-u` `flip3-+` `associate-*l/` `flip-+` `log1p-expm1-u` `associate-/l/` `add-log-exp`
1×	`distribute-rgt-in` `frac-2neg` `distribute-lft-in` `pow-prod-down` `clear-num` `-commutative` `div-inv` `distribute-lft-out` `associate-/l` `unswap-sqr`

Counts

2 → 52

Calls

2 calls:

26.0ms	(* (sin y) (+ (exp x) (exp (- x))))
29.0ms	(/ (* (* (sin y) (+ (exp x) (exp (- x)))) 1/2) y)

series151.0ms

Counts

2 → 6

Calls

2 calls:

64.0ms	(* (sin y) (+ (exp x) (exp (- x))))
87.0ms	(/ (* (* (sin y) (+ (exp x) (exp (- x)))) 1/2) y)

simplify765.0ms

Counts

58 → 58

Iterations

Useful iterations: 2 (239.0ms)

Iter	Nodes	Cost
0	132	886
1	374	832
2	1565	698
done	5001	698

prune198.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.3b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite45.0ms

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:

6.0ms	(/ 1 (/ y (sin y)))
2.0ms	(/ y (sin y))
27.0ms	(* (cosh x) (/ 1 (/ y (sin y))))

series150.0ms

Counts

3 → 9

Calls

3 calls:

31.0ms	(/ 1 (/ y (sin y)))
27.0ms	(/ y (sin y))
92.0ms	(* (cosh x) (/ 1 (/ y (sin y))))

simplify1.7s

Counts

193 → 193

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	265	2378
1	627	1894
2	1488	1643
done	5001	1613

prune470.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.3b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite30.0ms

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` `expm1-log1p-u` `rec-exp` `cosh-def` `1-exp` `*-commutative` `log1p-expm1-u` `add-log-exp`
1×	`frac-times` `associate-*r/` `div-inv`

Counts

2 → 64

Calls

2 calls:

12.0ms	(* (/ 1 y) (sin y))
15.0ms	(* (cosh x) (* (/ 1 y) (sin y)))

series121.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(* (/ 1 y) (sin y))
86.0ms	(* (cosh x) (* (/ 1 y) (sin y)))

simplify2.0s

Counts

70 → 70

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	136	755
1	322	599
2	877	487
3	2969	485
done	5000	473

prune177.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 0.3b

regimes206.0ms

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	11	13
1	14	13
done	14	13

end0.0ms

sample2.3s

Algorithm

intervals

Results

938.0ms	3022×	body	1280	valid
478.0ms	2538×	body	640	valid
379.0ms	8613×	body	80	valid
156.0ms	1192×	body	320	valid
57.0ms	634×	body	160	valid