Details

sample14.0ms

Algorithm

intervals

Results

7.0ms

256×

body

valid

simplify10.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	12
2	12
1	11
0	7

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

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))

rewrite89.0ms

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`
2×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3-+` `div-exp` `flip-+` `div-inv`
1×	`+-commutative` `sum-log` `flip3--` `frac-add` `flip--`

Counts

3 → 87

Calls

3 calls:

8.0ms	(/ x (+ x 1.0))
68.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
9.0ms	(/ 1.0 (- x 1.0))

series215.0ms

Counts

3 → 9

Calls

3 calls:

41.0ms	(/ x (+ x 1.0))
142.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
32.0ms	(/ 1.0 (- x 1.0))

simplify2.4s

Counts

96 → 96

Iterations

Iter	Nodes
done	5002
3	4338
2	1262
1	411
0	169

prune390.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ x (+ x 1.0))
0.0b	(+ (* (/ 1.0 (- (* x x) (* 1.0 1.0))) (+ x 1.0)) (/ x (+ x 1.0)))
0.2b	(/ 1.0 (- (* x x) (* 1.0 1.0)))
14.0b	(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (+ x 1.0))

rewrite156.0ms

Algorithm

rewrite-expression-head

Rules

41×	`*-un-lft-identity`
37×	`times-frac`
36×	`add-sqr-sqrt`
31×	`add-cube-cbrt`
18×	`associate-l`
13×	`add-cbrt-cube` `add-exp-log`
8×	`associate-/r*`
7×	`difference-of-squares`
6×	`pow1` `flip3-+` `associate-/r/` `flip-+` `associate-/l*` `add-log-exp`
5×	`frac-add` `distribute-lft-out`
4×	`frac-times` `associate-r` `associate-*r/`
3×	`cbrt-undiv` `div-exp` `div-inv`
2×	`distribute-rgt-in` `associate-+l+` `clear-num` `frac-2neg` `distribute-lft-in` `flip3--` `associate-*l/` `prod-exp` `cbrt-unprod` `flip--` `unswap-sqr`
1×	`+-commutative` `sum-log` `pow-prod-down` `*-commutative`

Counts

4 → 128

Calls

4 calls:

10.0ms	(/ x (+ x 1.0))
42.0ms	(+ (* (/ 1.0 (- (* x x) (* 1.0 1.0))) (+ x 1.0)) (/ x (+ x 1.0)))
20.0ms	(/ 1.0 (- (* x x) (* 1.0 1.0)))
80.0ms	(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (+ x 1.0))

series365.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(/ x (+ x 1.0))
215.0ms	(+ (* (/ 1.0 (- (* x x) (* 1.0 1.0))) (+ x 1.0)) (/ x (+ x 1.0)))
52.0ms	(/ 1.0 (- (* x x) (* 1.0 1.0)))
60.0ms	(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (+ x 1.0))

simplify2.6s

Counts

140 → 140

Iterations

Iter	Nodes
done	5020
2	4199
1	883
0	251

prune627.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize58.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ 1.0 (- (* x x) (* 1.0 1.0)))
14.0b	(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (+ x 1.0))
14.0b	(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (+ x 1.0))
14.0b	(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (+ x 1.0))

rewrite190.0ms

Algorithm

rewrite-expression-head

Rules

55×	`add-sqr-sqrt`
54×	`associate-l`
51×	`times-frac`
46×	`*-un-lft-identity`
40×	`add-cube-cbrt`
21×	`add-cbrt-cube` `add-exp-log`
13×	`difference-of-squares`
12×	`associate-r`
10×	`pow1`
8×	`associate-/r/`
6×	`frac-times` `flip3-+` `prod-exp` `associate-*r/` `cbrt-unprod` `flip-+` `unswap-sqr`
4×	`cbrt-undiv` `associate-/r*` `flip3--` `div-exp` `div-inv` `flip--` `add-log-exp`
3×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `associate-l/` `-commutative` `distribute-lft-out` `associate-/l*`
1×	`clear-num` `frac-2neg`

Counts

4 → 165

Calls

4 calls:

19.0ms	(/ 1.0 (- (* x x) (* 1.0 1.0)))
46.0ms	(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (+ x 1.0))
53.0ms	(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (+ x 1.0))
61.0ms	(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (+ x 1.0))

series316.0ms

Counts

4 → 12

Calls

4 calls:

78.0ms	(/ 1.0 (- (* x x) (* 1.0 1.0)))
73.0ms	(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (+ x 1.0))
83.0ms	(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (+ x 1.0))
81.0ms	(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (+ x 1.0))

simplify2.2s

Counts

177 → 177

Iterations

Iter	Nodes
done	5010
2	2370
1	571
0	158

prune1.2s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes46.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	13
1	13
0	10

end0.0ms

sample570.0ms

Algorithm

intervals

Results

437.0ms

8000×

body

valid