Details

sample20.0ms

Algorithm

intervals

Results

4.0ms	46×	body	640	valid
4.0ms	57×	body	320	valid
4.0ms	139×	body	80	valid
1.0ms	14×	body	160	valid

simplify5.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

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

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.9b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 1.0 (+ x 1.0))
2.8b	(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

rewrite103.0ms

Algorithm

rewrite-expression-head

Rules

40×	`*-un-lft-identity`
28×	`times-frac`
27×	`add-sqr-sqrt`
15×	`add-cube-cbrt`
8×	`distribute-lft-out--`
7×	`distribute-lft-out`
4×	`add-exp-log` `associate-/r*` `add-cbrt-cube` `add-log-exp` `difference-of-squares`
3×	`div-inv` `associate-/l*`
2×	`pow1` `associate-/r/`
1×	`cbrt-undiv` `sub-neg` `flip3--` `frac-2neg` `flip3-+` `diff-log` `div-exp` `clear-num` `frac-sub` `flip--` `flip-+`

Counts

2 → 58

Calls

2 calls:

11.0ms	(/ 1.0 (+ x 1.0))
88.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

series107.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(/ 1.0 (+ x 1.0))
72.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

simplify3.7s

Counts

64 → 64

Iterations

Useful iterations: 4 (2.1s)

Iter	Nodes	Cost
0	120	810
1	267	766
2	622	724
3	1474	718
4	4770	714
done	5002	714

prune140.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.3b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (+ x 1.0) x)
0.3b	(/ (- 0 (* 1.0 1.0)) (* (+ x 1.0) x))

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
9×	`add-exp-log` `add-cbrt-cube`
8×	`*-un-lft-identity`
6×	`add-cube-cbrt`
4×	`pow1` `times-frac` `associate-l` `associate-l/` `associate-/l`
3×	`associate-r`
2×	`cbrt-undiv` `flip3-+` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `flip-+` `associate-/l/` `add-log-exp` `difference-of-squares`
1×	`flip3--` `frac-2neg` `sub0-neg` `div-sub` `distribute-frac-neg` `pow-prod-down` `clear-num` `associate-/r` `-commutative` `flip--` `div-inv` `distribute-lft-out` `unswap-sqr`

Counts

2 → 50

Calls

2 calls:

37.0ms	(* (+ x 1.0) x)
46.0ms	(/ (- 0 (* 1.0 1.0)) (* (+ x 1.0) x))

series107.0ms

Counts

2 → 6

Calls

2 calls:

67.0ms	(* (+ x 1.0) x)
40.0ms	(/ (- 0 (* 1.0 1.0)) (* (+ x 1.0) x))

simplify1.6s

Counts

56 → 56

Iterations

Useful iterations: 2 (233.0ms)

Iter	Nodes	Cost
0	108	700
1	282	629
2	984	531
done	5001	531

prune147.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- (* 1.0 1.0)) (+ 1.0 x))
0.1b	(/ (/ (- (* 1.0 1.0)) (+ 1.0 x)) x)

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

210×	`times-frac`
151×	`*-un-lft-identity`
89×	`add-sqr-sqrt` `add-cube-cbrt`
36×	`associate-/l*`
31×	`distribute-lft-out`
21×	`distribute-lft-neg-in` `neg-mul-1` `distribute-rgt-neg-in`
10×	`associate-/r/`
9×	`add-exp-log` `add-cbrt-cube`
7×	`associate-/r*`
6×	`div-inv`
5×	`flip3-+` `flip-+`
4×	`cbrt-undiv` `div-exp`
3×	`div-sub` `distribute-frac-neg`
2×	`pow1` `neg-sub0` `frac-2neg` `clear-num` `add-log-exp`
1×	`associate-/l/`

Counts

2 → 190

Calls

2 calls:

14.0ms	(/ (- (* 1.0 1.0)) (+ 1.0 x))
39.0ms	(/ (/ (- (* 1.0 1.0)) (+ 1.0 x)) x)

series85.0ms

Counts

2 → 6

Calls

2 calls:

39.0ms	(/ (- (* 1.0 1.0)) (+ 1.0 x))
46.0ms	(/ (/ (- (* 1.0 1.0)) (+ 1.0 x)) x)

simplify2.0s

Counts

196 → 196

Iterations

Useful iterations: 2 (591.0ms)

Iter	Nodes	Cost
0	288	3381
1	682	3177
2	1993	3071
done	5000	3071

prune548.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite544.0ms

Algorithm

rewrite-expression-head

Rules

1081×	`times-frac`
704×	`*-un-lft-identity`
575×	`add-sqr-sqrt`
528×	`add-cube-cbrt`
359×	`sqrt-prod`
232×	`associate-r`
171×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
89×	`associate-/l*`
88×	`distribute-lft-out`
57×	`neg-mul-1`
34×	`add-exp-log` `add-cbrt-cube`
27×	`associate-l`
20×	`sqrt-div` `associate-/r/`
17×	`associate-/r*`
14×	`cbrt-undiv` `div-exp`
12×	`div-inv` `unswap-sqr`
10×	`flip3-+` `flip-+`
6×	`pow1` `prod-exp` `cbrt-unprod`
5×	`distribute-frac-neg`
4×	`add-log-exp`
3×	`frac-2neg` `div-sub` `clear-num`
2×	`neg-sub0`
1×	`frac-times` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative` `distribute-rgt-neg-out` `associate-/l/`

Counts

4 → 768

Calls

4 calls:

317.0ms	(* (/ 1.0 (sqrt (+ 1.0 x))) (/ (/ (- 1.0) (sqrt (+ 1.0 x))) x))
62.0ms	(/ (/ (- 1.0) (sqrt (+ 1.0 x))) x)
33.0ms	(/ (- 1.0) (sqrt (+ 1.0 x)))
26.0ms	(/ 1.0 (sqrt (+ 1.0 x)))

series437.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(* (/ 1.0 (sqrt (+ 1.0 x))) (/ (/ (- 1.0) (sqrt (+ 1.0 x))) x))
169.0ms	(/ (/ (- 1.0) (sqrt (+ 1.0 x))) x)
115.0ms	(/ (- 1.0) (sqrt (+ 1.0 x)))
114.0ms	(/ 1.0 (sqrt (+ 1.0 x)))

simplify1.4s

Counts

780 → 780

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	738	14831
1	2158	13311
done	5000	12755

prune2.1s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes16.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	13	10
2	15	10
done	15	10

end0.0ms

sample1.2s

Algorithm

intervals

Results

512.0ms	1307×	body	320	valid
270.0ms	1891×	body	640	valid
233.0ms	4154×	body	80	valid
40.0ms	650×	body	160	valid