Details

sample38.0ms

Algorithm

intervals

Results

11.0ms	65×	body	640	valid
6.0ms	133×	body	80	valid
5.0ms	38×	body	320	valid
2.0ms	20×	body	160	valid

simplify10.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.8b

localize16.0ms

Local error

Found 1 expressions with local error:

2.4b	(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

rewrite135.0ms

Algorithm

rewrite-expression-head

Rules

22×	`*-un-lft-identity`
17×	`add-sqr-sqrt`
16×	`times-frac`
8×	`distribute-lft-out--`
5×	`add-cube-cbrt`
4×	`difference-of-squares`
3×	`distribute-lft-out` `add-log-exp`
2×	`div-inv`
1×	`pow1` `add-exp-log` `sub-neg` `flip3--` `diff-log` `frac-sub` `add-cbrt-cube` `flip--`

Counts

1 → 25

Calls

1 calls:

133.0ms

(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

series92.0ms

Counts

1 → 3

Calls

1 calls:

92.0ms

(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

simplify2.3s

Counts

28 → 28

Iterations

Useful iterations: 3 (923.0ms)

Iter	Nodes	Cost
0	74	436
1	172	425
2	586	397
3	3104	395
done	5001	395

prune153.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 1.0b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (+ x 1.0) x)
0.0b	(/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))
1.9b	(- x (+ x 1.0))

rewrite132.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 63

Calls

3 calls:

36.0ms	(* (+ x 1.0) x)
65.0ms	(/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))
27.0ms	(- x (+ x 1.0))

series145.0ms

Counts

3 → 9

Calls

3 calls:

72.0ms	(* (+ x 1.0) x)
61.0ms	(/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))
12.0ms	(- x (+ x 1.0))

simplify2.2s

Counts

72 → 72

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	119	903
1	361	745
2	2884	602
done	5000	600

prune311.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 1 expressions with local error:

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

rewrite220.0ms

Algorithm

rewrite-expression-head

Rules

1419×	`times-frac`
835×	`*-un-lft-identity`
595×	`add-sqr-sqrt` `add-cube-cbrt`
144×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
137×	`associate-/l*`
120×	`distribute-lft-out`
48×	`neg-mul-1`
17×	`div-inv`
10×	`add-exp-log` `add-cbrt-cube`
6×	`cbrt-undiv` `div-exp`
4×	`associate-/r/`
3×	`associate-/r*`
1×	`pow1` `frac-2neg` `clear-num` `associate-/l/` `add-log-exp`

Counts

1 → 568

Calls

1 calls:

115.0ms

(/ (/ 1.0 (/ (+ x 1.0) (- 1.0))) x)

series65.0ms

Counts

1 → 3

Calls

1 calls:

65.0ms

(/ (/ 1.0 (/ (+ x 1.0) (- 1.0))) x)

simplify2.4s

Counts

571 → 571

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	937	12919
1	2582	12089
done	5001	11873

prune2.5s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize36.0ms

Local error

Found 4 expressions with local error:

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

rewrite2.2s

Algorithm

rewrite-expression-head

Rules

3088×	`times-frac`
2426×	`cbrt-prod`
2417×	`*-un-lft-identity`
1463×	`add-sqr-sqrt`
1253×	`add-cube-cbrt`
479×	`swap-sqr`
468×	`distribute-rgt-neg-in`
438×	`distribute-lft-out`
396×	`distribute-lft-neg-in`
287×	`associate-r` `associate-l`
132×	`neg-mul-1`
49×	`unswap-sqr`
31×	`div-inv`
16×	`add-exp-log`
11×	`pow1`
8×	`add-cbrt-cube`
7×	`cbrt-div`
4×	`cbrt-undiv` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `add-log-exp`
3×	`pow1/3`
1×	`pow2` `frac-times` `pow-plus` `associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `*-commutative` `pow-prod-up`

Counts

4 → 1285

Calls

4 calls:

1.8s	(* (/ (cbrt 1.0) (cbrt (/ (+ x 1.0) (- 1.0)))) (/ (cbrt 1.0) (cbrt (/ (+ x 1.0) (- 1.0)))))
13.0ms	(cbrt (/ (+ x 1.0) (- 1.0)))
13.0ms	(cbrt (/ (+ x 1.0) (- 1.0)))
13.0ms	(cbrt (/ (+ x 1.0) (- 1.0)))

series1.2s

Counts

4 → 12

Calls

4 calls:

486.0ms	(* (/ (cbrt 1.0) (cbrt (/ (+ x 1.0) (- 1.0)))) (/ (cbrt 1.0) (cbrt (/ (+ x 1.0) (- 1.0)))))
225.0ms	(cbrt (/ (+ x 1.0) (- 1.0)))
244.0ms	(cbrt (/ (+ x 1.0) (- 1.0)))
236.0ms	(cbrt (/ (+ x 1.0) (- 1.0)))

simplify4.6s

Counts

1297 → 1297

Iterations

Useful iterations: done (4.5s)

Iter	Nodes	Cost
0	1233	42750
1	4595	40003
done	5001	39162

prune7.6s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes64.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	8	10
done	8	10

end0.0ms

sample1.2s

Algorithm

intervals

Results

497.0ms	1931×	body	640	valid
255.0ms	4178×	body	80	valid
165.0ms	1236×	body	320	valid
59.0ms	656×	body	160	valid