Details

sample17.0ms

Algorithm

intervals

Results

7.0ms

293×

body

valid

simplify315.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	19	11
2	29	11
3	44	11
4	55	11
5	69	11
6	81	11
7	114	11
8	129	11
9	135	11
10	139	11
11	149	11
12	153	11
13	155	11
done	155	11

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.9b

localize14.0ms

Local error

Found 2 expressions with local error:

0.1b	(* x (+ (/ x y) 1.0))
8.3b	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

rewrite129.0ms

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:

66.0ms	(* x (+ (/ x y) 1.0))
61.0ms	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

series111.0ms

Counts

2 → 6

Calls

2 calls:

45.0ms	(* x (+ (/ x y) 1.0))
66.0ms	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

simplify3.2s

Counts

60 → 60

Iterations

Useful iterations: 3 (1.3s)

Iter	Nodes	Cost
0	107	759
1	302	728
2	1120	632
3	4510	629
done	5000	629

prune160.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 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))

rewrite143.0ms

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:

69.0ms	(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
59.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))

series157.0ms

Counts

2 → 6

Calls

2 calls:

61.0ms	(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
97.0ms	(/ (+ 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	489	2812
2	1720	2698
done	5000	2685

prune386.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite105.0ms

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:

41.0ms	(/ (+ 1.0 (/ x y)) (+ x 1.0))
61.0ms	(* x (/ (+ 1.0 (/ x y)) (+ x 1.0)))

series92.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(/ (+ 1.0 (/ x y)) (+ x 1.0))
55.0ms	(* x (/ (+ 1.0 (/ x y)) (+ x 1.0)))

simplify2.2s

Counts

91 → 91

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	127	1342
1	331	1272
2	1032	1160
3	3054	1158
done	5000	1155

prune217.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 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))

rewrite253.0ms

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:

61.0ms	(/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x)
70.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))
70.0ms	(/ 1 (/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x))

series233.0ms

Counts

3 → 9

Calls

3 calls:

86.0ms	(/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x)
83.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))
64.0ms	(/ 1 (/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x))

simplify2.0s

Counts

469 → 469

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	517	11423
1	1236	10132
2	2695	9168
done	5000	9045

prune763.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes57.0ms

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

sample551.0ms

Algorithm

intervals

Results

290.0ms

9169×

body

valid