Details

sample16.0ms

Algorithm

intervals

Results

8.0ms

294×

body

valid

simplify160.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	11
1	19	11
2	28	11
3	43	11
4	54	11
5	68	11
6	81	11
7	108	11
8	122	11
9	128	11
10	132	11
11	142	11
12	146	11
13	148	11
done	148	11

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.6b

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b	(* x (+ (/ x y) 1.0))
9.9b	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

12×	`*-un-lft-identity`
9×	`add-exp-log` `add-cbrt-cube`
8×	`add-sqr-sqrt`
6×	`add-cube-cbrt`
4×	`pow1` `times-frac` `associate-r/` `associate-r` `associate-/r`
3×	`flip3-+` `associate-l` `flip-+` `distribute-lft-out`
2×	`cbrt-undiv` `expm1-log1p-u` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `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` `associate-/l` `unswap-sqr`

Counts

2 → 54

Calls

2 calls:

30.0ms	(* x (+ (/ x y) 1.0))
19.0ms	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

series71.0ms

Counts

2 → 6

Calls

2 calls:

29.0ms	(* x (+ (/ x y) 1.0))
42.0ms	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

simplify1.9s

Counts

60 → 60

Iterations

Useful iterations: 3 (852.0ms)

Iter	Nodes	Cost
0	107	759
1	304	728
2	1046	632
3	4479	629
done	5000	629

prune120.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b	(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
0.1b	(/ (+ x 1.0) (+ (/ x y) 1.0))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

155×	`*-un-lft-identity`
146×	`times-frac`
71×	`add-sqr-sqrt` `add-cube-cbrt`
42×	`distribute-lft-out`
26×	`associate-/r*`
11×	`associate-/r/`
9×	`add-exp-log` `add-cbrt-cube`
7×	`associate-/l*`
6×	`flip3-+` `flip-+` `div-inv`
4×	`cbrt-undiv` `div-exp`
2×	`pow1` `expm1-log1p-u` `frac-2neg` `clear-num` `log1p-expm1-u` `associate-/l/` `add-log-exp`

Counts

2 → 150

Calls

2 calls:

23.0ms	(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
25.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))

series116.0ms

Counts

2 → 6

Calls

2 calls:

45.0ms	(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
72.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))

simplify1.3s

Counts

156 → 156

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	211	3002
1	503	2812
2	1693	2698
done	5000	2694

prune304.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x)
0.1b	(/ (+ x 1.0) (+ (/ x y) 1.0))
0.2b	(/ 1 (/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x))

rewrite136.0ms

Algorithm

rewrite-expression-head

Rules

812×	`times-frac`
619×	`*-un-lft-identity`
343×	`add-sqr-sqrt` `add-cube-cbrt`
138×	`distribute-lft-out`
77×	`associate-/r*`
35×	`associate-/r/`
31×	`add-exp-log`
29×	`associate-/l*`
23×	`div-inv`
19×	`div-exp` `add-cbrt-cube`
18×	`flip3-+` `flip-+`
10×	`cbrt-undiv`
4×	`pow1`
3×	`expm1-log1p-u` `rec-exp` `frac-2neg` `1-exp` `clear-num` `log1p-expm1-u` `associate-/l/` `add-log-exp`
1×	`pow-flip` `inv-pow`

Counts

3 → 460

Calls

3 calls:

37.0ms	(/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x)
22.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))
40.0ms	(/ 1 (/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x))

series206.0ms

Counts

3 → 9

Calls

3 calls:

85.0ms	(/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x)
69.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))
52.0ms	(/ 1 (/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x))

simplify2.3s

Counts

469 → 469

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	517	11423
1	1311	10322
2	3324	9168
done	5000	9148

prune631.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.1b	(/ (+ (/ x y) 1.0) (+ 1.0 x))
0.3b	(/ (/ (+ (/ x y) 1.0) (+ 1.0 x)) (/ 1 x))

rewrite110.0ms

Algorithm

rewrite-expression-head

Rules

733×	`times-frac`
543×	`*-un-lft-identity`
299×	`add-sqr-sqrt` `add-cube-cbrt`
122×	`distribute-lft-out`
39×	`div-inv`
31×	`associate-/r/`
26×	`add-exp-log` `associate-/l*`
17×	`div-exp` `associate-/r*`
16×	`flip3-+` `add-cbrt-cube` `flip-+`
9×	`cbrt-undiv`
3×	`associate-/l/`
2×	`pow1` `expm1-log1p-u` `rec-exp` `frac-2neg` `1-exp` `clear-num` `log1p-expm1-u` `add-log-exp`

Counts

2 → 389

Calls

2 calls:

29.0ms	(/ (+ (/ x y) 1.0) (+ 1.0 x))
47.0ms	(/ (/ (+ (/ x y) 1.0) (+ 1.0 x)) (/ 1 x))

series78.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(/ (+ (/ x y) 1.0) (+ 1.0 x))
43.0ms	(/ (/ (+ (/ x y) 1.0) (+ 1.0 x)) (/ 1 x))

simplify2.5s

Counts

395 → 395

Iterations

Useful iterations: 2 (1.8s)

Iter	Nodes	Cost
0	505	10656
1	1546	9509
2	4743	8373
done	5000	8373

prune383.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes38.0ms

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	8	11
1	10	11
done	10	11

end0.0ms

sample381.0ms

Algorithm

intervals

Results

236.0ms

9151×

body

valid