Details

sample13.0ms

Algorithm

intervals

Results

6.0ms

256×

body

valid

simplify6.0ms

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

localize9.0ms

Local error

Found 1 expressions with local error:

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

rewrite51.0ms

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` `expm1-log1p-u` `flip3--` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip--` `flip-+` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 47

Calls

1 calls:

48.0ms

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

series53.0ms

Counts

1 → 3

Calls

1 calls:

53.0ms

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

simplify3.5s

Counts

50 → 50

Iterations

Useful iterations: 3 (422.0ms)

Iter	Nodes	Cost
0	93	646
1	215	616
2	569	584
3	1349	573
4	3656	573
done	5000	573

prune98.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize9.0ms

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)))

rewrite119.0ms

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×	`expm1-log1p-u` `log-prod` `flip3--` `flip--` `log1p-expm1-u` `div-inv`
2×	`associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `flip3-+` `div-exp` `rem-log-exp` `clear-num` `flip-+` `rem-exp-log`

Counts

3 → 123

Calls

3 calls:

29.0ms	(/ (+ x 1.0) (- 1.0 x))
42.0ms	(log (exp (/ (+ x 1.0) (- 1.0 x))))
42.0ms	(exp (/ (+ x 1.0) (- 1.0 x)))

series222.0ms

Counts

3 → 9

Calls

3 calls:

64.0ms	(/ (+ x 1.0) (- 1.0 x))
36.0ms	(log (exp (/ (+ x 1.0) (- 1.0 x))))
122.0ms	(exp (/ (+ x 1.0) (- 1.0 x)))

simplify4.0s

Counts

132 → 132

Iterations

Useful iterations: 4 (3.0s)

Iter	Nodes	Cost
0	168	1571
1	324	1411
2	766	1338
3	1740	1305
4	4426	1300
done	5000	1300

prune379.0ms

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)))

rewrite227.0ms

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×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `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 → 252

Calls

4 calls:

156.0ms	(* (cbrt (/ (+ x 1.0) (- 1.0 x))) (cbrt (/ (+ x 1.0) (- 1.0 x))))
10.0ms	(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)))

series733.0ms

Counts

4 → 12

Calls

4 calls:

217.0ms	(* (cbrt (/ (+ x 1.0) (- 1.0 x))) (cbrt (/ (+ x 1.0) (- 1.0 x))))
175.0ms	(cbrt (/ (+ x 1.0) (- 1.0 x)))
172.0ms	(cbrt (/ (+ x 1.0) (- 1.0 x)))
169.0ms	(cbrt (/ (+ x 1.0) (- 1.0 x)))

simplify2.3s

Counts

264 → 264

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	227	5724
1	411	5299
2	1151	5153
3	2588	4820
done	5001	4792

prune848.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes25.0ms

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

sample371.0ms

Algorithm

intervals

Results

256.0ms

8000×

body

valid