Details

sample25.0ms

Algorithm

intervals

Results

13.0ms

256×

body

valid

simplify10.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	11	11
2	12	11
done	12	11

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite137.0ms

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-exp-log` `add-cbrt-cube`
6×	`associate-/l*` `distribute-lft-out--`
5×	`add-log-exp`
4×	`associate-/r/` `difference-of-squares`
3×	`pow1`
2×	`cbrt-undiv` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip-+` `div-inv`
1×	`+-commutative` `flip3--` `frac-add` `sum-log` `flip--`

Counts

3 → 87

Calls

3 calls:

15.0ms	(/ x (+ x 1.0))
20.0ms	(/ 1.0 (- x 1.0))
98.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))

series262.0ms

Counts

3 → 9

Calls

3 calls:

52.0ms	(/ x (+ x 1.0))
32.0ms	(/ 1.0 (- x 1.0))
177.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))

simplify1.7s

Counts

96 → 96

Iterations

Useful iterations: 3 (699.0ms)

Iter	Nodes	Cost
0	169	1135
1	378	1064
2	927	998
3	1984	996
done	5000	996

prune225.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize13.0ms

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)))
0.3b	(/ 1.0 (- (* x x) (* 1.0 1.0)))
17.0b	(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (+ x 1.0))

rewrite179.0ms

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-exp-log` `add-cbrt-cube`
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+` `flip3--` `frac-2neg` `distribute-lft-in` `associate-*l/` `prod-exp` `clear-num` `flip--` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `pow-prod-down` `sum-log` `*-commutative`

Counts

4 → 128

Calls

4 calls:

23.0ms	(/ x (+ x 1.0))
57.0ms	(+ (* (/ 1.0 (- (* x x) (* 1.0 1.0))) (+ x 1.0)) (/ x (+ x 1.0)))
14.0ms	(/ 1.0 (- (* x x) (* 1.0 1.0)))
76.0ms	(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (+ x 1.0))

series420.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(/ x (+ x 1.0))
229.0ms	(+ (* (/ 1.0 (- (* x x) (* 1.0 1.0))) (+ x 1.0)) (/ x (+ x 1.0)))
65.0ms	(/ 1.0 (- (* x x) (* 1.0 1.0)))
86.0ms	(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (+ x 1.0))

simplify2.4s

Counts

140 → 140

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	251	2406
1	770	2288
2	2671	2114
done	5001	1790

prune359.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite224.0ms

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×	`difference-of-squares`
3×	`frac-2neg` `clear-num` `associate-/r/`
2×	`rec-exp` `flip3-+` `1-exp` `flip-+` `associate-/l/`
1×	`+-commutative` `flip3--` `pow-flip` `frac-add` `sum-log` `flip--` `inv-pow`

Counts

4 → 174

Calls

4 calls:

21.0ms	(/ 1.0 (- x 1.0))
33.0ms	(/ (+ x 1.0) x)
135.0ms	(+ (/ 1.0 (- x 1.0)) (/ 1 (/ (+ x 1.0) x)))
22.0ms	(/ 1 (/ (+ x 1.0) x))

series331.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(/ 1.0 (- x 1.0))
63.0ms	(/ (+ x 1.0) x)
171.0ms	(+ (/ 1.0 (- x 1.0)) (/ 1 (/ (+ x 1.0) x)))
44.0ms	(/ 1 (/ (+ x 1.0) x))

simplify3.2s

Counts

186 → 186

Iterations

Useful iterations: 3 (1.6s)

Iter	Nodes	Cost
0	269	2488
1	604	2137
2	1428	1882
3	3507	1855
done	5000	1855

prune296.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes11.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	19
1	13	19
done	13	19

end0.0ms

sample570.0ms

Algorithm

intervals

Results

373.0ms

8000×

body

valid