Details

sample11.0ms

Algorithm

intervals

Results

6.0ms

256×

body

valid

simplify5.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

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)))

rewrite54.0ms

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:

5.0ms	(/ x (+ x 1.0))
5.0ms	(/ 1.0 (- x 1.0))
41.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))

series180.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms	(/ x (+ x 1.0))
32.0ms	(/ 1.0 (- x 1.0))
116.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))

simplify482.0ms

Counts

96 → 96

Iterations

Useful iterations: 2 (109.0ms)

Iter	Nodes	Cost
0	169	1135
1	391	1064
2	1341	996
done	5000	996

prune166.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (/ x (+ x 1.0)) (- (/ x (+ x 1.0)) (/ 1.0 (- x 1.0))))
0.0b	(pow (/ x (+ x 1.0)) 3)
0.1b	(* (/ 1.0 (- x 1.0)) (/ 1.0 (- x 1.0)))
0.2b	(pow (/ 1.0 (- x 1.0)) 3)

rewrite207.0ms

Algorithm

rewrite-expression-head

Rules

183×	`*-un-lft-identity`
155×	`times-frac`
154×	`add-sqr-sqrt`
89×	`add-cube-cbrt`
39×	`unpow-prod-down` `cube-prod` `associate-l`
33×	`associate-r`
31×	`distribute-lft-out--`
27×	`add-exp-log` `swap-sqr` `add-cbrt-cube`
22×	`difference-of-squares`
18×	`associate-/r/`
15×	`pow1`
11×	`distribute-lft-out`
9×	`div-inv`
8×	`flip3--` `flip--`
7×	`cbrt-undiv` `div-exp`
6×	`pow-unpow` `prod-exp` `cbrt-unprod` `unswap-sqr`
4×	`frac-times` `associate-*r/` `pow-exp` `add-log-exp` `rem-cube-cbrt`
3×	`flip3-+` `flip-+`
2×	`cube-div` `distribute-rgt-in` `cube-mult` `pow-to-exp` `sub-neg` `pow-pow` `distribute-lft-in` `unpow3` `pow-prod-down` `associate-l/` `-commutative` `frac-sub` `sqr-pow`
1×	`pow2` `pow-plus` `pow-sqr` `pow-prod-up`

Counts

4 → 271

Calls

4 calls:

146.0ms	(* (/ x (+ x 1.0)) (- (/ x (+ x 1.0)) (/ 1.0 (- x 1.0))))
8.0ms	(pow (/ x (+ x 1.0)) 3)
33.0ms	(* (/ 1.0 (- x 1.0)) (/ 1.0 (- x 1.0)))
8.0ms	(pow (/ 1.0 (- x 1.0)) 3)

series266.0ms

Counts

4 → 12

Calls

4 calls:

120.0ms	(* (/ x (+ x 1.0)) (- (/ x (+ x 1.0)) (/ 1.0 (- x 1.0))))
53.0ms	(pow (/ x (+ x 1.0)) 3)
42.0ms	(* (/ 1.0 (- x 1.0)) (/ 1.0 (- x 1.0)))
51.0ms	(pow (/ 1.0 (- x 1.0)) 3)

simplify392.0ms

Counts

283 → 283

Iterations

Useful iterations: done (383.0ms)

Iter	Nodes	Cost
0	390	4913
1	1329	4369
done	5001	4337

prune630.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- x 1.0) (+ x 1.0))
0.0b	(* (- x 1.0) x)
0.0b	(+ (* 1.0 (+ x 1.0)) (* (- x 1.0) x))
15.3b	(/ (+ (* 1.0 (+ x 1.0)) (* (- x 1.0) x)) (* (- x 1.0) (+ x 1.0)))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 105

Calls

4 calls:

16.0ms	(* (- x 1.0) (+ x 1.0))
9.0ms	(* (- x 1.0) x)
6.0ms	(+ (* 1.0 (+ x 1.0)) (* (- x 1.0) x))
21.0ms	(/ (+ (* 1.0 (+ x 1.0)) (* (- x 1.0) x)) (* (- x 1.0) (+ x 1.0)))

series234.0ms

Counts

4 → 12

Calls

4 calls:

75.0ms	(* (- x 1.0) (+ x 1.0))
38.0ms	(* (- x 1.0) x)
36.0ms	(+ (* 1.0 (+ x 1.0)) (* (- x 1.0) x))
85.0ms	(/ (+ (* 1.0 (+ x 1.0)) (* (- x 1.0) x)) (* (- x 1.0) (+ x 1.0)))

simplify881.0ms

Counts

117 → 117

Iterations

Useful iterations: 2 (182.0ms)

Iter	Nodes	Cost
0	182	2029
1	570	1961
2	2799	1773
done	5000	1773

prune239.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes27.0ms

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	15	45
1	19	45
done	19	45

end0.0ms

sample266.0ms

Algorithm

intervals

Results

180.0ms

8000×

body

valid