Details

sample23.0ms

Algorithm

intervals

Results

10.0ms

297×

body

valid

simplify1.7s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	19	11
2	28	11
3	41	11
4	52	11
5	66	11
6	78	11
7	108	11
8	124	11
9	137	11
10	143	11
11	248	11
12	538	11
13	1421	11
14	3957	11
done	5000	11

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.3b

localize11.0ms

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))

rewrite91.0ms

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` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `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 → 50

Calls

2 calls:

57.0ms	(* x (+ (/ x y) 1.0))
32.0ms	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

series87.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(* x (+ (/ x y) 1.0))
59.0ms	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

simplify1.0s

Counts

56 → 56

Iterations

Useful iterations: 2 (238.0ms)

Iter	Nodes	Cost
0	103	719
1	324	695
2	1978	607
done	5000	607

prune257.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize11.0ms

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))

rewrite117.0ms

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` `frac-2neg` `clear-num` `associate-/l/` `add-log-exp`

Counts

2 → 146

Calls

2 calls:

51.0ms	(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
49.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))

series174.0ms

Counts

2 → 6

Calls

2 calls:

70.0ms	(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
104.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))

simplify1.3s

Counts

152 → 152

Iterations

Useful iterations: 2 (428.0ms)

Iter	Nodes	Cost
0	207	2958
1	563	2800
2	3152	2662
done	5000	2662

prune468.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize22.0ms

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)))

rewrite144.0ms

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` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `add-log-exp` `unswap-sqr`
1×	`frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `-commutative`

Counts

2 → 81

Calls

2 calls:

59.0ms	(/ (+ (/ x y) 1.0) (+ x 1.0))
81.0ms	(* x (/ (+ (/ x y) 1.0) (+ x 1.0)))

series82.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(/ (+ (/ x y) 1.0) (+ x 1.0))
46.0ms	(* x (/ (+ (/ x y) 1.0) (+ x 1.0)))

simplify907.0ms

Counts

87 → 87

Iterations

Useful iterations: done (904.0ms)

Iter	Nodes	Cost
0	125	1298
1	355	1240
2	1788	1128
done	5002	1124

prune336.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize13.0ms

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))

rewrite225.0ms

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×	`rec-exp` `frac-2neg` `1-exp` `clear-num` `associate-/l/` `add-log-exp`
1×	`pow-flip` `inv-pow`

Counts

3 → 454

Calls

3 calls:

81.0ms	(/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x)
40.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))
65.0ms	(/ 1 (/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x))

series265.0ms

Counts

3 → 9

Calls

3 calls:

117.0ms	(/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x)
95.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))
52.0ms	(/ 1 (/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x))

simplify870.0ms

Counts

463 → 463

Iterations

Useful iterations: done (841.0ms)

Iter	Nodes	Cost
0	511	11351
1	1544	10074
done	5001	9666

prune914.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes105.0ms

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

sample1.1s

Algorithm

intervals

Results

811.0ms

9108×

body

valid