Details

sample16.0ms

Algorithm

intervals

Results

4.0ms	65×	body	640	valid
2.0ms	133×	body	80	valid
2.0ms	35×	body	320	valid
1.0ms	23×	body	160	valid

simplify5.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

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

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.8b

localize5.0ms

Local error

Found 1 expressions with local error:

3.2b	(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

rewrite62.0ms

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:

61.0ms

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

series60.0ms

Counts

1 → 3

Calls

1 calls:

60.0ms

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

simplify1.7s

Counts

28 → 28

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	74	436
1	172	425
2	390	397
3	951	395
4	3028	391
done	5000	386

prune51.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.5b

localize6.0ms

Local error

Found 1 expressions with local error:

0.5b	(/ (* (- 1.0) 1.0) (* (+ x 1.0) x))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 24

Calls

1 calls:

17.0ms

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

series41.0ms

Counts

1 → 3

Calls

1 calls:

41.0ms

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

simplify632.0ms

Counts

27 → 27

Iterations

Useful iterations: 2 (178.0ms)

Iter	Nodes	Cost
0	80	436
1	251	400
2	1226	312
done	5001	312

prune43.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.1b	(/ (/ (* (- 1.0) 1.0) (+ x 1.0)) x)

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 61

Calls

1 calls:

24.0ms

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

series40.0ms

Counts

1 → 3

Calls

1 calls:

40.0ms

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

simplify998.0ms

Counts

64 → 64

Iterations

Useful iterations: 2 (236.0ms)

Iter	Nodes	Cost
0	157	1105
1	410	1035
2	1511	959
done	5001	959

prune126.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

78×	`cbrt-prod`
42×	`*-un-lft-identity`
32×	`times-frac`
30×	`add-sqr-sqrt`
22×	`add-cube-cbrt`
15×	`swap-sqr`
14×	`associate-/r/`
13×	`associate-r` `associate-l`
11×	`pow1`
9×	`pow1/3` `distribute-lft-out`
7×	`cbrt-div` `flip3-+` `flip-+` `div-inv`
6×	`add-exp-log`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-r/` `associate-l/` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 123

Calls

4 calls:

48.0ms	(* (cbrt (/ (* (- 1.0) 1.0) (+ x 1.0))) (cbrt (/ (* (- 1.0) 1.0) (+ x 1.0))))
7.0ms	(cbrt (/ (* (- 1.0) 1.0) (+ x 1.0)))
7.0ms	(cbrt (/ (* (- 1.0) 1.0) (+ x 1.0)))
8.0ms	(cbrt (/ (* (- 1.0) 1.0) (+ x 1.0)))

series663.0ms

Counts

4 → 12

Calls

4 calls:

184.0ms	(* (cbrt (/ (* (- 1.0) 1.0) (+ x 1.0))) (cbrt (/ (* (- 1.0) 1.0) (+ x 1.0))))
155.0ms	(cbrt (/ (* (- 1.0) 1.0) (+ x 1.0)))
161.0ms	(cbrt (/ (* (- 1.0) 1.0) (+ x 1.0)))
163.0ms	(cbrt (/ (* (- 1.0) 1.0) (+ x 1.0)))

simplify1.8s

Counts

135 → 135

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	203	2912
1	448	2726
2	1294	2571
3	3982	2312
done	5001	2273

prune585.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes42.0ms

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	11	10
2	13	10
3	15	10
done	15	10

end0.0ms

sample407.0ms

Algorithm

intervals

Results

128.0ms	1923×	body	640	valid
83.0ms	4224×	body	80	valid
67.0ms	1222×	body	320	valid
22.0ms	631×	body	160	valid