Details

sample42.0ms

Algorithm

intervals

Results

13.0ms	64×	body	640	valid
8.0ms	137×	body	80	valid
5.0ms	21×	body	1280	valid
3.0ms	22×	body	320	valid
1.0ms	12×	body	160	valid

simplify1.1s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	15
1	18	15
2	31	15
3	41	15
4	88	15
5	135	15
6	162	15
7	211	15
8	441	15
9	1208	15
done	5000	15

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.6b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1.0 (- x 1.0))
0.0b	(- (/ 1.0 (+ x 1.0)) (/ 2.0 x))
0.0b	(/ 1.0 (+ x 1.0))
1.6b	(+ (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (/ 1.0 (- x 1.0)))

rewrite798.0ms

Algorithm

rewrite-expression-head

Rules

725×	`*-un-lft-identity`
703×	`times-frac`
524×	`add-sqr-sqrt`
492×	`add-cube-cbrt`
468×	`prod-diff`
236×	`associate-+l+`
95×	`distribute-lft-out`
65×	`div-inv`
58×	`associate-/r/`
29×	`flip3-+` `flip-+`
18×	`fma-neg`
17×	`distribute-lft-out--`
12×	`difference-of-squares`
11×	`add-log-exp`
10×	`fma-def`
9×	`associate-/r*`
8×	`add-exp-log` `add-cbrt-cube`
6×	`associate-/l*`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u`
3×	`flip3--` `frac-add` `flip--`
2×	`cbrt-undiv` `sub-neg` `frac-2neg` `diff-log` `div-exp` `clear-num` `sum-log` `frac-sub`
1×	`+-commutative` `associate-+l-`

Counts

4 → 618

Calls

4 calls:

25.0ms	(/ 1.0 (- x 1.0))
122.0ms	(- (/ 1.0 (+ x 1.0)) (/ 2.0 x))
20.0ms	(/ 1.0 (+ x 1.0))
514.0ms	(+ (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (/ 1.0 (- x 1.0)))

series419.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(/ 1.0 (- x 1.0))
53.0ms	(- (/ 1.0 (+ x 1.0)) (/ 2.0 x))
28.0ms	(/ 1.0 (+ x 1.0))
289.0ms	(+ (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (/ 1.0 (- x 1.0)))

simplify2.8s

Counts

630 → 630

Iterations

Useful iterations: done (2.7s)

Iter	Nodes	Cost
0	502	19834
1	1194	17509
2	4177	13396
done	5000	13250

prune2.3s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.5b

localize29.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 2.0 (pow x 7))
0.3b	(/ 2.0 (pow x 5))
0.5b	(/ 2.0 (pow x 3))

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

78×	`times-frac`
60×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
36×	`unpow-prod-down`
26×	`associate-/r*`
18×	`add-exp-log`
12×	`cube-prod` `sqr-pow`
9×	`div-exp` `add-cbrt-cube` `associate-/l*`
4×	`cube-mult` `unpow3`
3×	`pow1` `cbrt-undiv` `expm1-log1p-u` `pow-to-exp` `frac-2neg` `pow-exp` `clear-num` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

3 → 161

Calls

3 calls:

15.0ms	(/ 2.0 (pow x 7))
16.0ms	(/ 2.0 (pow x 5))
17.0ms	(/ 2.0 (pow x 3))

series197.0ms

Counts

3 → 9

Calls

3 calls:

67.0ms	(/ 2.0 (pow x 7))
83.0ms	(/ 2.0 (pow x 5))
47.0ms	(/ 2.0 (pow x 3))

simplify975.0ms

Counts

170 → 170

Iterations

Useful iterations: done (968.0ms)

Iter	Nodes	Cost
0	234	1776
1	461	1542
2	2146	1500
done	5002	1496

prune639.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 2.0 (pow x 7))
0.1b	(/ (/ 2.0 (* x x)) x)
0.3b	(/ 2.0 (pow x 5))
0.9b	(/ 2.0 (* x x))

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

78×	`times-frac`
54×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
28×	`add-exp-log`
24×	`unpow-prod-down`
22×	`add-cbrt-cube`
18×	`associate-/r*`
16×	`associate-/l*`
13×	`div-exp`
9×	`cbrt-undiv`
8×	`div-inv` `sqr-pow`
4×	`pow1` `expm1-log1p-u` `frac-2neg` `clear-num` `log1p-expm1-u` `add-log-exp`
2×	`pow-to-exp` `pow-exp` `prod-exp` `cbrt-unprod`
1×	`associate-/l/`

Counts

4 → 167

Calls

4 calls:

16.0ms	(/ 2.0 (pow x 7))
16.0ms	(/ (/ 2.0 (* x x)) x)
8.0ms	(/ 2.0 (pow x 5))
13.0ms	(/ 2.0 (* x x))

series332.0ms

Counts

4 → 12

Calls

4 calls:

120.0ms	(/ 2.0 (pow x 7))
83.0ms	(/ (/ 2.0 (* x x)) x)
85.0ms	(/ 2.0 (pow x 5))
43.0ms	(/ 2.0 (* x x))

simplify1.6s

Counts

179 → 179

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	256	1876
1	550	1737
2	3013	1613
done	5001	1605

prune613.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 2.0 (pow x 7))
0.1b	(* (sqrt 2.0) (/ (sqrt 2.0) (pow x 3)))
0.3b	(/ 2.0 (pow x 5))
0.6b	(/ (sqrt 2.0) (pow x 3))

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

202×	`times-frac`
176×	`add-sqr-sqrt`
128×	`add-cube-cbrt` `*-un-lft-identity`
95×	`sqrt-prod`
76×	`associate-r`
67×	`unpow-prod-down`
43×	`cube-prod`
29×	`add-exp-log`
26×	`associate-/r*`
25×	`sqr-pow`
18×	`unswap-sqr`
15×	`add-cbrt-cube`
13×	`cube-mult` `unpow3`
12×	`div-exp` `associate-/l*`
6×	`pow1` `associate-l`
4×	`cbrt-undiv` `expm1-log1p-u` `pow-to-exp` `pow-exp` `prod-exp` `log1p-expm1-u` `div-inv` `add-log-exp`
3×	`frac-2neg` `clear-num`
2×	`cbrt-unprod`
1×	`associate-r/` `pow-prod-down` `-commutative`

Counts

4 → 318

Calls

4 calls:

7.0ms	(/ 2.0 (pow x 7))
55.0ms	(* (sqrt 2.0) (/ (sqrt 2.0) (pow x 3)))
7.0ms	(/ 2.0 (pow x 5))
11.0ms	(/ (sqrt 2.0) (pow x 3))

series353.0ms

Counts

4 → 12

Calls

4 calls:

87.0ms	(/ 2.0 (pow x 7))
129.0ms	(* (sqrt 2.0) (/ (sqrt 2.0) (pow x 3)))
59.0ms	(/ 2.0 (pow x 5))
78.0ms	(/ (sqrt 2.0) (pow x 3))

simplify640.0ms

Counts

330 → 330

Iterations

Useful iterations: done (624.0ms)

Iter	Nodes	Cost
0	345	4137
1	780	3442
done	5000	3128

prune968.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes77.0ms

Accuracy

95.2% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 9.8b

bsearch2.0ms

simplify12.0ms

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	27	85
1	34	71
done	34	71

end0.0ms

sample1.6s

Algorithm

intervals

Results

745.0ms	1890×	body	640	valid
315.0ms	4197×	body	80	valid
176.0ms	563×	body	1280	valid
121.0ms	916×	body	320	valid
42.0ms	436×	body	160	valid