Details

sample20.0ms

Algorithm

intervals

Results

9.0ms

297×

body

valid

simplify182.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	19	11
2	27	11
3	40	11
4	47	11
5	61	11
6	73	11
7	103	11
8	108	11
9	114	11
10	118	11
11	126	11
12	129	11
13	131	11
done	131	11

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.6b

localize10.0ms

Local error

Found 2 expressions with local error:

0.1b	(* x (+ (/ x y) 1.0))
9.0b	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

rewrite86.0ms

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:

52.0ms	(* x (+ (/ x y) 1.0))
32.0ms	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

series88.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(* x (+ (/ x y) 1.0))
55.0ms	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

simplify2.2s

Counts

56 → 56

Iterations

Useful iterations: 3 (1.1s)

Iter	Nodes	Cost
0	103	719
1	292	689
2	1068	593
3	4290	591
done	5001	591

prune113.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
0.1b	(/ (+ x 1.0) (+ (/ x y) 1.0))

rewrite93.0ms

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:

41.0ms	(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
45.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))

series143.0ms

Counts

2 → 6

Calls

2 calls:

61.0ms	(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
81.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))

simplify1.1s

Counts

152 → 152

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	207	2958
1	479	2772
2	1674	2658
done	5000	2646

prune388.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize10.0ms

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))

rewrite303.0ms

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:

93.0ms	(/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x)
43.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))
100.0ms	(/ 1 (/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x))

series261.0ms

Counts

3 → 9

Calls

3 calls:

106.0ms	(/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x)
72.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))
83.0ms	(/ 1 (/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x))

simplify1.8s

Counts

463 → 463

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	511	11351
1	1224	10074
2	2645	9114
done	5000	8992

prune748.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.1b	(* x (+ (/ x y) 1.0))
0.1b	(* (/ (* x (+ (/ x y) 1.0)) (- (* x x) (* 1.0 1.0))) (- x 1.0))
14.1b	(/ (* x (+ (/ x y) 1.0)) (- (* x x) (* 1.0 1.0)))

rewrite260.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-exp-log` `add-cbrt-cube`
16×	`add-sqr-sqrt`
14×	`*-un-lft-identity`
13×	`associate-l`
10×	`add-cube-cbrt`
9×	`associate-r`
8×	`times-frac`
7×	`pow1`
6×	`associate-*r/` `prod-exp` `cbrt-unprod`
4×	`cbrt-undiv` `flip3--` `div-exp` `associate-/r*` `associate-/r/` `flip--` `difference-of-squares`
3×	`distribute-rgt-in` `distribute-lft-in` `add-log-exp`
2×	`frac-times` `sub-neg` `flip3-+` `pow-prod-down` `*-commutative` `flip-+` `div-inv` `associate-/l/` `unswap-sqr`
1×	`frac-2neg` `associate-l/` `clear-num` `distribute-lft-out` `associate-/l` `distribute-lft-out--`

Counts

3 → 90

Calls

3 calls:

88.0ms	(* x (+ (/ x y) 1.0))
126.0ms	(* (/ (* x (+ (/ x y) 1.0)) (- (* x x) (* 1.0 1.0))) (- x 1.0))
43.0ms	(/ (* x (+ (/ x y) 1.0)) (- (* x x) (* 1.0 1.0)))

series229.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(* x (+ (/ x y) 1.0))
96.0ms	(* (/ (* x (+ (/ x y) 1.0)) (- (* x x) (* 1.0 1.0))) (- x 1.0))
98.0ms	(/ (* x (+ (/ x y) 1.0)) (- (* x x) (* 1.0 1.0)))

simplify1.5s

Counts

99 → 99

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	178	1958
1	522	1898
2	2278	1614
done	5001	1454

prune263.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes37.0ms

Accuracy

0% (0.0b 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

sample786.0ms

Algorithm

intervals

Results

508.0ms

9136×

body

valid