Details

sample28.0ms

Algorithm

intervals

Results

14.0ms

256×

body

valid

simplify22.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	12
2	12
1	11
0	7

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize49.0ms

Local error

Found 3 expressions with local error:

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

rewrite171.0ms

Algorithm

rewrite-expression-head

Rules

60×	`*-un-lft-identity`
35×	`times-frac`
30×	`add-sqr-sqrt`
22×	`add-cube-cbrt`
11×	`distribute-lft-out`
9×	`associate-/r*`
7×	`add-cbrt-cube` `add-exp-log`
6×	`associate-/l*` `distribute-lft-out--`
5×	`add-log-exp`
4×	`associate-/r/` `difference-of-squares`
3×	`pow1` `insert-posit16`
2×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3-+` `div-exp` `flip-+` `div-inv`
1×	`+-commutative` `sum-log` `flip3--` `frac-add` `flip--`

Counts

3 → 90

Calls

3 calls:

23.0ms	(/ x (+ x 1.0))
115.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
26.0ms	(/ 1.0 (- x 1.0))

series250.0ms

Counts

3 → 9

Calls

3 calls:

41.0ms	(/ x (+ x 1.0))
175.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
34.0ms	(/ 1.0 (- x 1.0))

simplify6.3s

Counts

99 → 99

Iterations

Iter	Nodes
done	5042
3	4519
2	1259
1	414
0	172

prune641.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize85.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (+ x 1.0) x)
0.0b	(+ (/ 1.0 (- x 1.0)) (/ 1 (/ (+ x 1.0) x)))
0.0b	(/ 1.0 (- x 1.0))
0.1b	(/ 1 (/ (+ x 1.0) x))

rewrite345.0ms

Algorithm

rewrite-expression-head

Rules

127×	`times-frac`
124×	`*-un-lft-identity`
80×	`add-sqr-sqrt`
72×	`add-cube-cbrt`
24×	`associate-/r*`
20×	`distribute-lft-out`
19×	`add-exp-log`
13×	`add-cbrt-cube`
10×	`associate-/l*`
9×	`div-exp`
8×	`div-inv`
6×	`add-log-exp`
5×	`pow1` `cbrt-undiv` `distribute-lft-out--`
4×	`insert-posit16` `difference-of-squares`
3×	`clear-num` `frac-2neg` `associate-/r/`
2×	`rec-exp` `flip3-+` `1-exp` `flip-+` `associate-/l/`
1×	`+-commutative` `sum-log` `flip3--` `frac-add` `pow-flip` `flip--` `inv-pow`

Counts

4 → 178

Calls

4 calls:

36.0ms	(/ (+ x 1.0) x)
218.0ms	(+ (/ 1.0 (- x 1.0)) (/ 1 (/ (+ x 1.0) x)))
36.0ms	(/ 1.0 (- x 1.0))
36.0ms	(/ 1 (/ (+ x 1.0) x))

series386.0ms

Counts

4 → 12

Calls

4 calls:

92.0ms	(/ (+ x 1.0) x)
188.0ms	(+ (/ 1.0 (- x 1.0)) (/ 1 (/ (+ x 1.0) x)))
44.0ms	(/ 1.0 (- x 1.0))
61.0ms	(/ 1 (/ (+ x 1.0) x))

simplify4.2s

Counts

190 → 190

Iterations

Iter	Nodes
done	5001
2	2176
1	692
0	272

prune1.4s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize251.0ms

Local error

Found 4 expressions with local error:

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

rewrite1.7s

Algorithm

rewrite-expression-head

Rules

81×	`frac-times` `*-un-lft-identity`
60×	`add-sqr-sqrt`
53×	`times-frac`
48×	`flip3-+` `frac-add` `flip-+`
35×	`add-cube-cbrt`
27×	`associate-*l/`
23×	`pow1`
15×	`associate-/r` `add-cbrt-cube` `associate-r/` `add-exp-log`
14×	`distribute-lft-out--`
12×	`difference-of-squares`
9×	`associate-/l*`
8×	`associate-r`
7×	`distribute-lft-out`
6×	`pow-plus` `associate-/r/` `pow-prod-up`
4×	`insert-posit16` `add-log-exp`
3×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3--` `div-exp` `pow-prod-down` `prod-exp` `cbrt-unprod` `div-inv` `flip--`
2×	`pow2` `pow-sqr`
1×	`distribute-rgt-in` `distribute-lft-in` `associate-l` `pow3` `*-commutative` `unswap-sqr`

Counts

4 → 213

Calls

4 calls:

1.6s	(* (* (+ (/ 1.0 (- x 1.0)) (/ x (+ 1.0 x))) (+ (/ 1.0 (- x 1.0)) (/ x (+ 1.0 x)))) (+ (/ 1.0 (- x 1.0)) (/ x (+ 1.0 x))))
26.0ms	(/ 1.0 (- x 1.0))
26.0ms	(/ 1.0 (- x 1.0))
43.0ms	(/ 1.0 (- x 1.0))

series474.0ms

Counts

4 → 12

Calls

4 calls:

304.0ms	(* (* (+ (/ 1.0 (- x 1.0)) (/ x (+ 1.0 x))) (+ (/ 1.0 (- x 1.0)) (/ x (+ 1.0 x)))) (+ (/ 1.0 (- x 1.0)) (/ x (+ 1.0 x))))
48.0ms	(/ 1.0 (- x 1.0))
62.0ms	(/ 1.0 (- x 1.0))
60.0ms	(/ 1.0 (- x 1.0))

simplify3.3s

Counts

225 → 225

Iterations

Iter	Nodes
done	5000
1	1048
0	263

prune1.9s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes76.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	13
1	13
0	9

end0.0ms

sample749.0ms

Algorithm

intervals

Results

581.0ms

8000×

body

valid