Details

sample57.0ms

Algorithm

intervals

Results

15.0ms	55×	body	640	valid
9.0ms	123×	body	80	valid
8.0ms	40×	body	320	valid
7.0ms	19×	body	1280	valid
3.0ms	19×	body	160	valid

simplify176.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	198
9	198
8	170
7	103
6	83
5	72
4	60
3	41
2	31
1	18
0	10

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.3b

localize30.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (/ 1.0 (+ x 1.0)) (/ 2.0 x))
0.0b	(/ 1.0 (+ x 1.0))
3.7b	(+ (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (/ 1.0 (- x 1.0)))

rewrite613.0ms

Algorithm

rewrite-expression-head

Rules

706×	`*-un-lft-identity`
688×	`times-frac`
505×	`add-sqr-sqrt`
481×	`add-cube-cbrt`
468×	`prod-diff`
236×	`associate-+l+`
95×	`distribute-lft-out`
64×	`div-inv`
56×	`associate-/r/`
29×	`flip3-+` `flip-+`
18×	`fma-neg`
13×	`distribute-lft-out--`
10×	`fma-def` `add-log-exp`
8×	`difference-of-squares`
5×	`add-cbrt-cube` `add-exp-log`
4×	`associate-/r*`
3×	`expm1-log1p-u` `pow1` `frac-add` `log1p-expm1-u` `associate-/l*`
2×	`sum-log` `sub-neg` `flip3--` `diff-log` `frac-sub` `flip--`
1×	`cbrt-undiv` `+-commutative` `clear-num` `frac-2neg` `div-exp` `associate-+l-`

Counts

3 → 579

Calls

3 calls:

88.0ms	(- (/ 1.0 (+ x 1.0)) (/ 2.0 x))
17.0ms	(/ 1.0 (+ x 1.0))
438.0ms	(+ (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (/ 1.0 (- x 1.0)))

series844.0ms

Counts

3 → 9

Calls

3 calls:

59.0ms	(- (/ 1.0 (+ x 1.0)) (/ 2.0 x))
36.0ms	(/ 1.0 (+ x 1.0))
748.0ms	(+ (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (/ 1.0 (- x 1.0)))

simplify2.7s

Counts

588 → 588

Iterations

Iter	Nodes
done	5000
2	2859
1	1092
0	453

prune2.9s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.4b

localize27.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (/ 1.0 (+ x 1.0)) (/ 2.0 x))
0.0b	(/ 1.0 (+ x 1.0))
3.7b	(+ (/ 1.0 (- x 1.0)) (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)))

rewrite426.0ms

Algorithm

rewrite-expression-head

Rules

709×	`*-un-lft-identity`
695×	`times-frac`
507×	`add-sqr-sqrt`
489×	`add-cube-cbrt`
468×	`prod-diff`
236×	`associate-+r+`
94×	`distribute-lft-out`
65×	`div-inv`
58×	`associate-/r/`
29×	`flip3-+` `flip-+`
21×	`fma-def`
18×	`fma-neg`
13×	`distribute-lft-out--`
10×	`add-log-exp`
7×	`difference-of-squares`
5×	`add-cbrt-cube` `add-exp-log`
4×	`associate-/r*`
3×	`expm1-log1p-u` `pow1` `flip3--` `frac-add` `log1p-expm1-u` `flip--` `associate-/l*`
2×	`sum-log` `sub-neg` `diff-log` `frac-sub`
1×	`cbrt-undiv` `+-commutative` `clear-num` `associate-+r-` `frac-2neg` `div-exp`

Counts

3 → 590

Calls

3 calls:

117.0ms	(- (/ 1.0 (+ x 1.0)) (/ 2.0 x))
8.0ms	(/ 1.0 (+ x 1.0))
208.0ms	(+ (/ 1.0 (- x 1.0)) (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)))

series388.0ms

Counts

3 → 9

Calls

3 calls:

48.0ms	(- (/ 1.0 (+ x 1.0)) (/ 2.0 x))
31.0ms	(/ 1.0 (+ x 1.0))
309.0ms	(+ (/ 1.0 (- x 1.0)) (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)))

simplify2.7s

Counts

599 → 599

Iterations

Iter	Nodes
done	5000
2	3616
1	1457
0	634

prune2.5s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.4b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1.0 (+ x 1.0))
2.7b	(- (+ (/ 1.0 (- x 1.0)) (/ 1.0 (+ x 1.0))) (/ 2.0 x))
2.9b	(+ (/ 1.0 (- x 1.0)) (/ 1.0 (+ x 1.0)))

rewrite708.0ms

Algorithm

rewrite-expression-head

Rules

898×	`*-un-lft-identity`
562×	`times-frac`
326×	`distribute-lft-out`
292×	`add-sqr-sqrt`
281×	`add-cube-cbrt`
234×	`prod-diff`
101×	`distribute-lft-out--`
50×	`div-inv`
34×	`associate-/r/`
21×	`fma-def`
18×	`fma-neg` `flip-+`
17×	`flip--`
10×	`add-log-exp`
5×	`add-cbrt-cube` `add-exp-log` `difference-of-squares`
4×	`associate-/r*`
3×	`expm1-log1p-u` `pow1` `flip3-+` `frac-sub` `log1p-expm1-u` `associate-/l*`
2×	`sum-log` `flip3--` `diff-log` `frac-add`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sub-neg` `frac-2neg` `div-exp` `associate--l+`

Counts

3 → 364

Calls

3 calls:

16.0ms	(/ 1.0 (+ x 1.0))
574.0ms	(- (+ (/ 1.0 (- x 1.0)) (/ 1.0 (+ x 1.0))) (/ 2.0 x))
62.0ms	(+ (/ 1.0 (- x 1.0)) (/ 1.0 (+ x 1.0)))

series574.0ms

Counts

3 → 9

Calls

3 calls:

45.0ms	(/ 1.0 (+ x 1.0))
305.0ms	(- (+ (/ 1.0 (- x 1.0)) (/ 1.0 (+ x 1.0))) (/ 2.0 x))
225.0ms	(+ (/ 1.0 (- x 1.0)) (/ 1.0 (+ x 1.0)))

simplify2.2s

Counts

373 → 373

Iterations

Iter	Nodes
done	5001
2	2640
1	889
0	351

prune770.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.4b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- (* (+ (* 1.0 (+ x 1.0)) (* (- x 1.0) 1.0)) x) (* (* (- x 1.0) (+ x 1.0)) 2.0)) (* (* (- x 1.0) (+ x 1.0)) x))
0.1b	(* (* (- x 1.0) (+ x 1.0)) x)
2.9b	(+ (* 1.0 (+ x 1.0)) (* (- x 1.0) 1.0))
18.3b	(- (* (+ (* 1.0 (+ x 1.0)) (* (- x 1.0) 1.0)) x) (* (* (- x 1.0) (+ x 1.0)) 2.0))

rewrite213.0ms

Algorithm

rewrite-expression-head

Rules

304×	`associate-*l/`
96×	`associate-*r/` `frac-sub`
93×	`flip3-+` `flip-+`
78×	`flip3--` `flip--`
68×	`frac-add`
56×	`frac-times`
50×	`associate-/l/`
18×	`add-cbrt-cube` `add-exp-log`
9×	`pow1`
8×	`associate-/r/` `add-log-exp`
7×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
6×	`prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`cbrt-undiv` `times-frac` `div-exp` `associate-r` `pow-prod-down` `associate-/l*`
2×	`associate-+l+`
1×	`distribute-rgt-in` `+-commutative` `clear-num` `associate-/r` `sum-log` `sub-neg` `fma-def` `frac-2neg` `distribute-lft-in` `fma-neg` `diff-log` `div-sub` `associate-l` `prod-diff` `-commutative` `div-inv`

Counts

4 → 196

Calls

4 calls:

98.0ms	(/ (- (* (+ (* 1.0 (+ x 1.0)) (* (- x 1.0) 1.0)) x) (* (* (- x 1.0) (+ x 1.0)) 2.0)) (* (* (- x 1.0) (+ x 1.0)) x))
39.0ms	(* (* (- x 1.0) (+ x 1.0)) x)
12.0ms	(+ (* 1.0 (+ x 1.0)) (* (- x 1.0) 1.0))
47.0ms	(- (* (+ (* 1.0 (+ x 1.0)) (* (- x 1.0) 1.0)) x) (* (* (- x 1.0) (+ x 1.0)) 2.0))

series317.0ms

Counts

4 → 12

Calls

4 calls:

126.0ms	(/ (- (* (+ (* 1.0 (+ x 1.0)) (* (- x 1.0) 1.0)) x) (* (* (- x 1.0) (+ x 1.0)) 2.0)) (* (* (- x 1.0) (+ x 1.0)) x))
150.0ms	(* (* (- x 1.0) (+ x 1.0)) x)
39.0ms	(+ (* 1.0 (+ x 1.0)) (* (- x 1.0) 1.0))
2.0ms	(- (* (+ (* 1.0 (+ x 1.0)) (* (- x 1.0) 1.0)) x) (* (* (- x 1.0) (+ x 1.0)) 2.0))

simplify2.3s

Counts

208 → 208

Iterations

Iter	Nodes
done	5002
1	2022
0	466

prune1.6s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.4b

regimes52.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	11
1	11
0	8

end0.0ms

sample2.0s

Algorithm

intervals

Results

861.0ms	1886×	body	640	valid
345.0ms	4122×	body	80	valid
225.0ms	512×	body	1280	valid
209.0ms	457×	body	160	valid
175.0ms	1023×	body	320	valid