Details

sample27.0ms

Algorithm

intervals

Results

13.0ms

297×

body

valid

simplify2.4s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	19	11
2	30	11
3	45	11
4	60	11
5	74	11
6	86	11
7	119	11
8	146	11
9	171	11
10	187	11
11	294	11
12	612	11
13	1578	11
14	4517	11
done	5000	11

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.3b

localize12.0ms

Local error

Found 2 expressions with local error:

0.1b	(* x (+ (/ x y) 1.0))
5.9b	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

rewrite137.0ms

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:

80.0ms	(* x (+ (/ x y) 1.0))
55.0ms	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

series103.0ms

Counts

2 → 6

Calls

2 calls:

39.0ms	(* x (+ (/ x y) 1.0))
65.0ms	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

simplify1.2s

Counts

60 → 60

Iterations

Useful iterations: 2 (319.0ms)

Iter	Nodes	Cost
0	107	759
1	334	731
2	2019	643
done	5000	643

prune278.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize16.0ms

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))

rewrite142.0ms

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:

70.0ms	(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
57.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))

series162.0ms

Counts

2 → 6

Calls

2 calls:

74.0ms	(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
88.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))

simplify1.3s

Counts

156 → 156

Iterations

Useful iterations: 2 (418.0ms)

Iter	Nodes	Cost
0	211	3002
1	575	2840
2	3269	2706
done	5001	2706

prune496.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite134.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 85

Calls

2 calls:

54.0ms	(/ (+ (/ x y) 1.0) (+ x 1.0))
77.0ms	(* x (/ (+ (/ x y) 1.0) (+ x 1.0)))

series83.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(/ (+ (/ x y) 1.0) (+ x 1.0))
46.0ms	(* x (/ (+ (/ x y) 1.0) (+ x 1.0)))

simplify1.2s

Counts

91 → 91

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	129	1342
1	364	1282
2	1846	1170
done	5001	1166

prune370.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize28.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (/ (+ 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))

rewrite236.0ms

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:

64.0ms	(/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x)
65.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))
71.0ms	(/ 1 (/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x))

series269.0ms

Counts

3 → 9

Calls

3 calls:

122.0ms	(/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x)
82.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))
64.0ms	(/ 1 (/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x))

simplify978.0ms

Counts

469 → 469

Iterations

Useful iterations: done (961.0ms)

Iter	Nodes	Cost
0	517	11423
1	1501	10132
done	5000	9724

prune1.1s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes81.0ms

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

sample872.0ms

Algorithm

intervals

Results

551.0ms

9108×

body

valid