Details

sample37.0ms

Algorithm

intervals

Results

11.0ms	65×	body	640	valid
6.0ms	134×	body	80	valid
5.0ms	37×	body	320	valid
2.0ms	20×	body	160	valid

simplify10.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	9
1	9	9
2	12	9
done	12	9

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.5b

localize16.0ms

Local error

Found 1 expressions with local error:

3.5b	(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

rewrite122.0ms

Algorithm

rewrite-expression-head

Rules

22×	`*-un-lft-identity`
17×	`add-sqr-sqrt`
16×	`times-frac`
8×	`distribute-lft-out--`
5×	`add-cube-cbrt`
4×	`difference-of-squares`
3×	`distribute-lft-out` `add-log-exp`
2×	`div-inv`
1×	`pow1` `add-exp-log` `sub-neg` `flip3--` `diff-log` `frac-sub` `add-cbrt-cube` `flip--`

Counts

1 → 25

Calls

1 calls:

120.0ms

(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

series108.0ms

Counts

1 → 3

Calls

1 calls:

108.0ms

(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

simplify1.8s

Counts

28 → 28

Iterations

Useful iterations: 3 (713.0ms)

Iter	Nodes	Cost
0	74	436
1	172	425
2	586	397
3	3104	395
done	5001	395

prune137.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.3b

localize23.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (+ x 1.0) x)
0.0b	(/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))
3.2b	(- x (+ x 1.0))

rewrite87.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-exp-log` `add-cbrt-cube`
12×	`*-un-lft-identity`
9×	`add-sqr-sqrt`
8×	`add-log-exp`
5×	`pow1` `add-cube-cbrt` `prod-exp` `cbrt-unprod`
4×	`cbrt-undiv` `div-exp` `associate-l` `associate-*l/`
3×	`associate-r`
2×	`flip3--` `flip3-+` `diff-log` `associate-*r/` `associate-/r/` `flip--` `flip-+` `associate-/l/` `distribute-lft-out` `distribute-lft-out--`
1×	`sub-neg` `frac-2neg` `times-frac` `pow-prod-down` `clear-num` `associate-/r` `sum-log` `-commutative` `div-inv` `associate-/l*` `associate--r+` `difference-of-squares` `unswap-sqr`

Counts

3 → 63

Calls

3 calls:

20.0ms	(* (+ x 1.0) x)
41.0ms	(/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))
24.0ms	(- x (+ x 1.0))

series107.0ms

Counts

3 → 9

Calls

3 calls:

51.0ms	(* (+ x 1.0) x)
47.0ms	(/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))
8.0ms	(- x (+ x 1.0))

simplify1.8s

Counts

72 → 72

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	119	903
1	361	745
2	2884	602
done	5000	600

prune245.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 1 expressions with local error:

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

rewrite178.0ms

Algorithm

rewrite-expression-head

Rules

1419×	`times-frac`
835×	`*-un-lft-identity`
595×	`add-sqr-sqrt` `add-cube-cbrt`
144×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
137×	`associate-/l*`
120×	`distribute-lft-out`
48×	`neg-mul-1`
17×	`div-inv`
10×	`add-exp-log` `add-cbrt-cube`
6×	`cbrt-undiv` `div-exp`
4×	`associate-/r/`
3×	`associate-/r*`
1×	`pow1` `frac-2neg` `clear-num` `associate-/l/` `add-log-exp`

Counts

1 → 568

Calls

1 calls:

99.0ms

(/ (/ 1.0 (/ (+ x 1.0) (- 1.0))) x)

series47.0ms

Counts

1 → 3

Calls

1 calls:

47.0ms

(/ (/ 1.0 (/ (+ x 1.0) (- 1.0))) x)

simplify1.9s

Counts

571 → 571

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	937	12919
1	2582	12089
done	5001	11873

prune2.1s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize25.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (+ x 1.0))
0.3b	(/ 1.0 (/ (* x (+ x 1.0)) (- 1.0)))

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

82×	`times-frac`
37×	`add-sqr-sqrt` `*-un-lft-identity`
35×	`add-cube-cbrt`
14×	`associate-/r*`
13×	`add-exp-log` `add-cbrt-cube`
12×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
5×	`cbrt-undiv` `div-exp` `div-inv`
4×	`pow1` `neg-mul-1` `associate-r`
3×	`associate-l` `associate-/l*`
2×	`associate-*r/` `prod-exp` `cbrt-unprod` `add-log-exp`
1×	`distribute-rgt-in` `frac-2neg` `distribute-lft-in` `flip3-+` `pow-prod-down` `clear-num` `associate-/r/` `*-commutative` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

2 → 99

Calls

2 calls:

38.0ms	(* x (+ x 1.0))
31.0ms	(/ 1.0 (/ (* x (+ x 1.0)) (- 1.0)))

series117.0ms

Counts

2 → 6

Calls

2 calls:

57.0ms	(* x (+ x 1.0))
60.0ms	(/ 1.0 (/ (* x (+ x 1.0)) (- 1.0)))

simplify1.8s

Counts

105 → 105

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	208	1476
1	582	1417
2	3104	1319
done	5002	1307

prune366.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes36.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	14
1	10	14
done	10	14

end0.0ms

sample1.1s

Algorithm

intervals

Results

337.0ms	1991×	body	640	valid
290.0ms	4189×	body	80	valid
169.0ms	1208×	body	320	valid
44.0ms	612×	body	160	valid