Details

sample47.0ms

Algorithm

intervals

Results

14.0ms	65×	body	640	valid
8.0ms	133×	body	80	valid
6.0ms	38×	body	320	valid
2.0ms	20×	body	160	valid

simplify14.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	11
1	12	11
2	15	11
done	15	11

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.8b

localize21.0ms

Local error

Found 1 expressions with local error:

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

rewrite182.0ms

Algorithm

rewrite-expression-head

Rules

47×	`*-un-lft-identity`
28×	`times-frac`
21×	`add-sqr-sqrt` `distribute-lft-out--`
9×	`add-cube-cbrt`
6×	`distribute-lft-out`
4×	`difference-of-squares`
3×	`add-log-exp`
2×	`associate-/r/` `flip--` `div-inv`
1×	`pow1` `add-exp-log` `sub-neg` `flip3--` `diff-log` `frac-sub` `add-cbrt-cube` `flip-+`

Counts

1 → 32

Calls

1 calls:

178.0ms

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

series322.0ms

Counts

1 → 3

Calls

1 calls:

322.0ms

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

simplify2.3s

Counts

35 → 35

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	80	597
1	184	586
2	579	552
3	2720	552
done	5004	550

prune148.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.0b

localize28.0ms

Local error

Found 1 expressions with local error:

1.0b	(/ (* (- (+ (- 1.0) 0) 1.0) 1.0) (* (+ x 1.0) (- x 1.0)))

rewrite349.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-exp-log` `add-cbrt-cube`
8×	`associate-/r/`
4×	`cbrt-undiv` `frac-times` `flip3--` `div-exp` `associate-*l/` `prod-exp` `flip--` `cbrt-unprod`
3×	`flip3-+` `flip-+`
2×	`associate-*r/` `associate-/l/`
1×	`pow1` `add-sqr-sqrt` `add-cube-cbrt` `frac-2neg` `-un-lft-identity` `times-frac` `clear-num` `associate-/r` `div-inv` `associate-/l*` `add-log-exp`

Counts

1 → 31

Calls

1 calls:

346.0ms

(/ (* (- (+ (- 1.0) 0) 1.0) 1.0) (* (+ x 1.0) (- x 1.0)))

series123.0ms

Counts

1 → 3

Calls

1 calls:

123.0ms

(/ (* (- (+ (- 1.0) 0) 1.0) 1.0) (* (+ x 1.0) (- x 1.0)))

simplify2.0s

Counts

34 → 34

Iterations

Useful iterations: 2 (525.0ms)

Iter	Nodes	Cost
0	107	803
1	351	701
2	2683	559
done	5002	559

prune231.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 1 expressions with local error:

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

rewrite578.0ms

Algorithm

rewrite-expression-head

Rules

3001×	`times-frac`
2377×	`*-un-lft-identity`
1849×	`add-sqr-sqrt`
1261×	`add-cube-cbrt`
582×	`distribute-lft-out--`
384×	`distribute-rgt-out--`
294×	`difference-of-squares`
288×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
216×	`distribute-lft-out`
197×	`associate-/l*`
96×	`neg-mul-1`
79×	`div-inv`
10×	`add-exp-log` `add-cbrt-cube`
8×	`associate-/r/`
6×	`cbrt-undiv` `div-exp`
5×	`associate-/r*`
2×	`div-sub`
1×	`pow1` `flip3--` `frac-2neg` `clear-num` `flip--` `associate-/l/` `add-log-exp`

Counts

1 → 1207

Calls

1 calls:

231.0ms

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

series145.0ms

Counts

1 → 3

Calls

1 calls:

145.0ms

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

simplify2.9s

Counts

1210 → 1210

Iterations

Useful iterations: done (2.8s)

Iter	Nodes	Cost
0	1338	36367
1	3800	33891
done	5001	33713

prune4.3s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize59.0ms

Local error

Found 4 expressions with local error:

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

rewrite103.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
35×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `swap-sqr` `flip-+` `distribute-lft-out`
7×	`associate-r` `associate-l`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 95

Calls

4 calls:

76.0ms	(* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))
7.0ms	(cbrt (+ x 1.0))
7.0ms	(cbrt (+ x 1.0))
7.0ms	(cbrt (+ x 1.0))

series645.0ms

Counts

4 → 12

Calls

4 calls:

175.0ms	(* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))
158.0ms	(cbrt (+ x 1.0))
154.0ms	(cbrt (+ x 1.0))
158.0ms	(cbrt (+ x 1.0))

simplify1.1s

Counts

107 → 107

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	139	1485
1	332	1358
2	1166	1288
done	5000	1224

prune905.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes86.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	14
1	10	14
done	10	14

end0.0ms

sample2.0s

Algorithm

intervals

Results

1.1s	1926×	body	640	valid
298.0ms	4175×	body	80	valid
263.0ms	1239×	body	320	valid
72.0ms	660×	body	160	valid