Details

sample11.0ms

Algorithm

intervals

Results

5.0ms

256×

body

valid

simplify4.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 1 expressions with local error:

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

rewrite17.0ms

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:

15.0ms

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

series34.0ms

Counts

1 → 3

Calls

1 calls:

33.0ms

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

simplify2.8s

Counts

50 → 50

Iterations

Useful iterations: 3 (314.0ms)

Iter	Nodes	Cost
0	93	646
1	215	616
2	562	584
3	1443	573
4	3948	573
done	5000	573

prune83.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize8.0ms

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)))

rewrite97.0ms

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:

58.0ms	(* (cbrt (/ (+ x 1.0) (- 1.0 x))) (cbrt (/ (+ x 1.0) (- 1.0 x))))
6.0ms	(cbrt (/ (+ x 1.0) (- 1.0 x)))
7.0ms	(cbrt (/ (+ x 1.0) (- 1.0 x)))
6.0ms	(cbrt (/ (+ x 1.0) (- 1.0 x)))

series593.0ms

Counts

4 → 12

Calls

4 calls:

165.0ms	(* (cbrt (/ (+ x 1.0) (- 1.0 x))) (cbrt (/ (+ x 1.0) (- 1.0 x))))
146.0ms	(cbrt (/ (+ x 1.0) (- 1.0 x)))
142.0ms	(cbrt (/ (+ x 1.0) (- 1.0 x)))
141.0ms	(cbrt (/ (+ x 1.0) (- 1.0 x)))

simplify2.2s

Counts

264 → 264

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	227	5724
1	413	5309
2	1187	5153
3	3613	4820
done	5000	4814

prune571.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(log (exp (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)))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

118×	`*-un-lft-identity`
104×	`cbrt-prod`
80×	`times-frac`
78×	`add-sqr-sqrt`
46×	`add-cube-cbrt`
30×	`log-pow`
29×	`exp-prod`
20×	`distribute-lft-out`
16×	`distribute-lft-out--` `difference-of-squares`
8×	`associate-/r/`
5×	`pow1`
4×	`add-exp-log` `expm1-log1p-u` `flip3--` `add-cbrt-cube` `flip--` `log1p-expm1-u` `div-inv` `add-log-exp`
3×	`cbrt-div` `log-prod` `pow1/3`
1×	`rem-log-exp`

Counts

4 → 154

Calls

4 calls:

24.0ms	(log (exp (cbrt (/ (+ x 1.0) (- 1.0 x)))))
6.0ms	(cbrt (/ (+ x 1.0) (- 1.0 x)))
5.0ms	(cbrt (/ (+ x 1.0) (- 1.0 x)))
5.0ms	(cbrt (/ (+ x 1.0) (- 1.0 x)))

series557.0ms

Counts

4 → 12

Calls

4 calls:

140.0ms	(log (exp (cbrt (/ (+ x 1.0) (- 1.0 x)))))
136.0ms	(cbrt (/ (+ x 1.0) (- 1.0 x)))
140.0ms	(cbrt (/ (+ x 1.0) (- 1.0 x)))
142.0ms	(cbrt (/ (+ x 1.0) (- 1.0 x)))

simplify1.2s

Counts

166 → 166

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	182	2694
1	290	2450
2	608	2341
3	1669	2289
done	5000	2265

prune610.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 1 (- 1.0 x))
0.1b	(* (+ x 1.0) (/ 1 (- 1.0 x)))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

43×	`add-sqr-sqrt`
39×	`*-un-lft-identity`
32×	`times-frac`
22×	`add-cube-cbrt`
21×	`associate-r`
15×	`add-exp-log`
9×	`add-cbrt-cube`
7×	`distribute-lft-out--` `difference-of-squares`
5×	`pow1` `associate-/r*`
4×	`div-exp` `associate-l` `prod-exp` `associate-/r/`
3×	`associate-/l*` `unswap-sqr`
2×	`cbrt-undiv` `expm1-log1p-u` `frac-times` `rec-exp` `flip3--` `flip3-+` `1-exp` `associate-*l/` `flip--` `cbrt-unprod` `flip-+` `log1p-expm1-u` `div-inv` `add-log-exp`
1×	`pow-flip` `frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `un-div-inv` `-commutative` `distribute-lft-out` `inv-pow`

Counts

2 → 94

Calls

2 calls:

9.0ms	(/ 1 (- 1.0 x))
24.0ms	(* (+ x 1.0) (/ 1 (- 1.0 x)))

series56.0ms

Counts

2 → 6

Calls

2 calls:

23.0ms	(/ 1 (- 1.0 x))
33.0ms	(* (+ x 1.0) (/ 1 (- 1.0 x)))

simplify2.6s

Counts

100 → 100

Iterations

Useful iterations: 3 (1.5s)

Iter	Nodes	Cost
0	150	1142
1	371	969
2	1133	837
3	3316	822
done	5001	822

prune138.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes31.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	28
1	13	28
done	13	28

end0.0ms

sample243.0ms

Algorithm

intervals

Results

145.0ms

8000×

body

valid