Details

sample13.0ms

Algorithm

intervals

Results

6.0ms

256×

body

valid

simplify7.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	8	7
2	9	7
done	9	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 1 expressions with local error:

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

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

34×	`*-un-lft-identity`
22×	`add-sqr-sqrt`
20×	`times-frac`
12×	`add-cube-cbrt`
6×	`distribute-lft-out`
5×	`associate-/r*` `distribute-lft-out--` `difference-of-squares`
4×	`associate-/l*`
3×	`add-exp-log` `add-cbrt-cube`
2×	`associate-/r/` `associate-/l/`
1×	`pow1` `cbrt-undiv` `flip3--` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip--` `flip-+` `div-inv` `add-log-exp`

Counts

1 → 45

Calls

1 calls:

55.0ms

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

series41.0ms

Counts

1 → 3

Calls

1 calls:

41.0ms

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

simplify2.7s

Counts

48 → 48

Iterations

Useful iterations: done (2.7s)

Iter	Nodes	Cost
0	91	630
1	206	607
2	539	569
3	1208	560
4	3098	560
done	5000	556

prune108.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite156.0ms

Algorithm

rewrite-expression-head

Rules

93×	`*-un-lft-identity`
61×	`add-sqr-sqrt`
60×	`times-frac`
52×	`exp-prod`
35×	`add-cube-cbrt`
27×	`log-pow`
16×	`distribute-lft-out`
13×	`distribute-lft-out--` `difference-of-squares`
6×	`associate-/r/`
5×	`add-exp-log` `associate-/r*` `add-cbrt-cube`
4×	`pow1` `associate-/l*` `add-log-exp`
3×	`log-prod` `flip3--` `flip--` `div-inv`
2×	`associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `flip3-+` `div-exp` `rem-log-exp` `clear-num` `flip-+` `rem-exp-log`

Counts

3 → 117

Calls

3 calls:

28.0ms	(/ (+ x 1.0) (- 1.0 x))
59.0ms	(log (exp (/ (+ x 1.0) (- 1.0 x))))
61.0ms	(exp (/ (+ x 1.0) (- 1.0 x)))

series215.0ms

Counts

3 → 9

Calls

3 calls:

51.0ms	(/ (+ x 1.0) (- 1.0 x))
45.0ms	(log (exp (/ (+ x 1.0) (- 1.0 x))))
119.0ms	(exp (/ (+ x 1.0) (- 1.0 x)))

simplify3.1s

Counts

126 → 126

Iterations

Useful iterations: done (3.1s)

Iter	Nodes	Cost
0	162	1517
1	309	1377
2	721	1292
3	1538	1260
4	3751	1258
done	5001	1250

prune334.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite203.0ms

Algorithm

rewrite-expression-head

Rules

306×	`*-un-lft-identity`
238×	`cbrt-prod`
190×	`times-frac`
174×	`add-sqr-sqrt`
86×	`add-cube-cbrt`
53×	`distribute-lft-out`
51×	`swap-sqr`
44×	`distribute-lft-out--`
32×	`difference-of-squares`
29×	`associate-r` `associate-l`
14×	`associate-/r/`
11×	`pow1`
9×	`pow1/3` `unswap-sqr`
7×	`cbrt-div` `flip3--` `flip--` `div-inv`
6×	`add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
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 → 244

Calls

4 calls:

125.0ms	(* (cbrt (/ (+ x 1.0) (- 1.0 x))) (cbrt (/ (+ x 1.0) (- 1.0 x))))
9.0ms	(cbrt (/ (+ x 1.0) (- 1.0 x)))
14.0ms	(cbrt (/ (+ x 1.0) (- 1.0 x)))
13.0ms	(cbrt (/ (+ x 1.0) (- 1.0 x)))

series786.0ms

Counts

4 → 12

Calls

4 calls:

211.0ms	(* (cbrt (/ (+ x 1.0) (- 1.0 x))) (cbrt (/ (+ x 1.0) (- 1.0 x))))
188.0ms	(cbrt (/ (+ x 1.0) (- 1.0 x)))
204.0ms	(cbrt (/ (+ x 1.0) (- 1.0 x)))
182.0ms	(cbrt (/ (+ x 1.0) (- 1.0 x)))

simplify2.0s

Counts

256 → 256

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	223	5634
1	396	5239
2	1095	5081
3	2308	4768
done	5001	4726

prune936.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes44.0ms

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	5	7
1	6	7
done	6	7

end0.0ms

sample421.0ms

Algorithm

intervals

Results

290.0ms

8000×

body

valid