Details

sample44.0ms

Algorithm

intervals

Results

12.0ms	62×	body	640	valid
7.0ms	133×	body	80	valid
5.0ms	21×	body	1280	valid
4.0ms	29×	body	320	valid
1.0ms	11×	body	160	valid

simplify939.0ms

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

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.4b

localize25.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1.0 (- x 1.0))
0.0b	(- (/ 1.0 (+ x 1.0)) (/ 2.0 x))
2.2b	(+ (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (/ 1.0 (- x 1.0)))

rewrite790.0ms

Algorithm

rewrite-expression-head

Rules

707×	`*-un-lft-identity`
691×	`times-frac`
514×	`add-sqr-sqrt`
482×	`add-cube-cbrt`
468×	`prod-diff`
236×	`associate-+l+`
91×	`distribute-lft-out`
64×	`div-inv`
56×	`associate-/r/`
28×	`flip3-+` `flip-+`
18×	`fma-neg`
17×	`distribute-lft-out--`
12×	`difference-of-squares`
10×	`fma-def` `add-log-exp`
5×	`add-exp-log` `associate-/r*` `add-cbrt-cube`
3×	`pow1` `expm1-log1p-u` `flip3--` `frac-add` `flip--` `log1p-expm1-u` `associate-/l*`
2×	`sub-neg` `diff-log` `sum-log` `frac-sub`
1×	`cbrt-undiv` `+-commutative` `associate-+l-` `frac-2neg` `div-exp` `clear-num`

Counts

3 → 583

Calls

3 calls:

12.0ms	(/ 1.0 (- x 1.0))
147.0ms	(- (/ 1.0 (+ x 1.0)) (/ 2.0 x))
528.0ms	(+ (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (/ 1.0 (- x 1.0)))

series353.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms	(/ 1.0 (- x 1.0))
46.0ms	(- (/ 1.0 (+ x 1.0)) (/ 2.0 x))
275.0ms	(+ (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (/ 1.0 (- x 1.0)))

simplify2.4s

Counts

592 → 592

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	485	19448
1	1143	17157
2	3890	13060
done	5000	12916

prune2.9s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.2b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ (/ 2.0 (pow x 7)) (/ 2.0 (pow x 3))) (/ 2.0 (pow x 5)))
0.0b	(/ 2.0 (pow x 7))
0.2b	(/ 2.0 (pow x 3))
0.3b	(/ 2.0 (pow x 5))

rewrite802.0ms

Algorithm

rewrite-expression-head

Rules

93×	`times-frac`
89×	`*-un-lft-identity`
67×	`add-sqr-sqrt` `add-cube-cbrt`
36×	`unpow-prod-down`
26×	`associate-/r*`
19×	`add-exp-log`
16×	`distribute-lft-out`
12×	`cube-prod` `sqr-pow`
10×	`add-cbrt-cube`
9×	`div-exp` `associate-/l*` `add-log-exp`
8×	`fma-def` `div-inv`
4×	`pow1` `expm1-log1p-u` `cube-mult` `unpow3` `frac-add` `log1p-expm1-u`
3×	`cbrt-undiv` `pow-to-exp` `frac-2neg` `pow-exp` `clear-num` `sum-log`
2×	`flip3-+` `flip-+`
1×	`+-commutative` `associate-+l+`

Counts

4 → 193

Calls

4 calls:

756.0ms	(+ (+ (/ 2.0 (pow x 7)) (/ 2.0 (pow x 3))) (/ 2.0 (pow x 5)))
8.0ms	(/ 2.0 (pow x 7))
9.0ms	(/ 2.0 (pow x 3))
21.0ms	(/ 2.0 (pow x 5))

series369.0ms

Counts

4 → 12

Calls

4 calls:

124.0ms	(+ (+ (/ 2.0 (pow x 7)) (/ 2.0 (pow x 3))) (/ 2.0 (pow x 5)))
109.0ms	(/ 2.0 (pow x 7))
71.0ms	(/ 2.0 (pow x 3))
66.0ms	(/ 2.0 (pow x 5))

simplify1.7s

Counts

205 → 205

Iterations

Useful iterations: 2 (761.0ms)

Iter	Nodes	Cost
0	294	2533
1	655	2232
2	2939	2171
done	5001	2171

prune984.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize29.0ms

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))
0.3b	(/ 2.0 (* x x))

rewrite51.0ms

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:

8.0ms	(/ 2.0 (pow x 7))
15.0ms	(/ (/ 2.0 (* x x)) x)
10.0ms	(/ 2.0 (pow x 5))
12.0ms	(/ 2.0 (* x x))

series259.0ms

Counts

4 → 12

Calls

4 calls:

97.0ms	(/ 2.0 (pow x 7))
53.0ms	(/ (/ 2.0 (* x x)) x)
62.0ms	(/ 2.0 (pow x 5))
47.0ms	(/ 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

prune1.1s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (sqrt 2.0) (pow x 7))
0.1b	(* (/ (sqrt 2.0) 1) (+ (+ (/ (sqrt 2.0) (pow x 7)) (/ (sqrt 2.0) (pow x 3))) (/ (sqrt 2.0) (pow x 5))))
0.3b	(/ (sqrt 2.0) (pow x 3))
0.3b	(/ (sqrt 2.0) (pow x 5))

rewrite4.4s

Algorithm

rewrite-expression-head

Rules

214×	`times-frac`
174×	`*-un-lft-identity`
161×	`add-sqr-sqrt`
131×	`add-cube-cbrt`
116×	`sqrt-prod`
63×	`unpow-prod-down`
29×	`distribute-lft-out`
26×	`add-exp-log` `associate-/r*`
22×	`associate-l`
21×	`cube-prod` `sqr-pow`
18×	`associate-r` `associate-/l*`
15×	`add-cbrt-cube`
11×	`div-exp`
8×	`frac-add`
7×	`cube-mult` `unpow3` `div-inv`
6×	`pow1`
5×	`frac-times` `associate-*r/` `unswap-sqr`
4×	`cbrt-undiv` `expm1-log1p-u` `flip3-+` `flip-+` `log1p-expm1-u` `add-log-exp`
3×	`pow-to-exp` `frac-2neg` `pow-exp` `prod-exp` `clear-num`
2×	`cbrt-unprod`
1×	`distribute-rgt-in` `distribute-lft-in` `1-exp` `pow-prod-down` `associate-l/` `-commutative`

Counts

4 → 322

Calls

4 calls:

10.0ms	(/ (sqrt 2.0) (pow x 7))
4.3s	(* (/ (sqrt 2.0) 1) (+ (+ (/ (sqrt 2.0) (pow x 7)) (/ (sqrt 2.0) (pow x 3))) (/ (sqrt 2.0) (pow x 5))))
11.0ms	(/ (sqrt 2.0) (pow x 3))
10.0ms	(/ (sqrt 2.0) (pow x 5))

series548.0ms

Counts

4 → 12

Calls

4 calls:

146.0ms	(/ (sqrt 2.0) (pow x 7))
205.0ms	(* (/ (sqrt 2.0) 1) (+ (+ (/ (sqrt 2.0) (pow x 7)) (/ (sqrt 2.0) (pow x 3))) (/ (sqrt 2.0) (pow x 5))))
97.0ms	(/ (sqrt 2.0) (pow x 3))
100.0ms	(/ (sqrt 2.0) (pow x 5))

simplify763.0ms

Counts

334 → 334

Iterations

Useful iterations: done (752.0ms)

Iter	Nodes	Cost
0	436	5808
1	1135	4952
done	5001	4750

prune1.7s

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0.0b

regimes126.0ms

Accuracy

98.5% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 10.0b

bsearch1.0ms

simplify4.0ms

Iterations

Useful iterations: 1 (2.0ms)

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

end0.0ms

sample1.5s

Algorithm

intervals

Results

542.0ms	1931×	body	640	valid
231.0ms	578×	body	1280	valid
227.0ms	4135×	body	80	valid
201.0ms	908×	body	320	valid
76.0ms	448×	body	160	valid