Details

sample69.0ms

Algorithm

intervals

Results

25.0ms	69×	body	640	valid
12.0ms	17×	body	1280	valid
11.0ms	124×	body	80	valid
9.0ms	32×	body	320	valid
2.0ms	14×	body	160	valid

simplify244.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	475
9	475
8	357
7	164
6	102
5	81
4	65
3	45
2	35
1	21
0	10

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.6b

localize36.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (- x 1))
0.0b	(/ 1 (+ x 1))
0.0b	(- (/ 1 (+ x 1)) (/ 2 x))
2.9b	(+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1)))

rewrite390.0ms

Algorithm

rewrite-expression-head

Rules

743×	`*-un-lft-identity`
715×	`times-frac`
544×	`add-sqr-sqrt`
494×	`add-cube-cbrt`
468×	`prod-diff`
236×	`associate-+l+`
99×	`distribute-lft-out`
72×	`div-inv`
58×	`associate-/r/`
29×	`flip3-+` `flip-+`
22×	`distribute-lft-out--`
20×	`difference-of-squares`
18×	`fma-neg`
13×	`fma-def`
12×	`add-exp-log`
11×	`associate-/r*` `add-log-exp`
8×	`add-cbrt-cube`
6×	`pow1` `associate-/l*`
4×	`expm1-log1p-u` `difference-of-sqr-1` `div-exp` `insert-posit16` `log1p-expm1-u`
3×	`flip3--` `frac-add` `flip--`
2×	`cbrt-undiv` `rec-exp` `clear-num` `sum-log` `sub-neg` `frac-2neg` `diff-log` `1-exp` `frac-sub` `pow-flip` `inv-pow`
1×	`+-commutative` `associate-+l-`

Counts

4 → 648

Calls

4 calls:

9.0ms	(/ 1 (- x 1))
16.0ms	(/ 1 (+ x 1))
78.0ms	(- (/ 1 (+ x 1)) (/ 2 x))
265.0ms	(+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1)))

series238.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(/ 1 (- x 1))
21.0ms	(/ 1 (+ x 1))
41.0ms	(- (/ 1 (+ x 1)) (/ 2 x))
153.0ms	(+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1)))

simplify1.4s

Counts

660 → 660

Iterations

Iter	Nodes
done	2000
2	2000
1	1149
0	495

prune6.2s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.5b

localize43.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 2 (pow x 7))
0.1b	(/ 2 (pow x 5))
0.1b	(* x (* x x))
0.5b	(/ 2 (* x (* x x)))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

45×	`times-frac`
40×	`add-sqr-sqrt`
39×	`*-un-lft-identity` `add-cube-cbrt`
28×	`add-exp-log`
24×	`unpow-prod-down`
22×	`add-cbrt-cube`
18×	`pow1`
15×	`associate-/r*`
9×	`div-exp` `associate-/l*`
8×	`sqr-pow`
6×	`prod-exp` `cbrt-unprod`
5×	`cbrt-undiv` `pow-prod-up`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`clear-num` `frac-2neg` `associate-l` `pow-prod-down` `div-inv`
2×	`pow-to-exp` `pow-exp`
1×	`pow2` `pow-plus` `cube-unmult` `associate-r` `pow-sqr` `*-commutative` `unswap-sqr`

Counts

4 → 149

Calls

4 calls:

5.0ms	(/ 2 (pow x 7))
7.0ms	(/ 2 (pow x 5))
24.0ms	(* x (* x x))
13.0ms	(/ 2 (* x (* x x)))

series294.0ms

Counts

4 → 12

Calls

4 calls:

94.0ms	(/ 2 (pow x 7))
81.0ms	(/ 2 (pow x 5))
54.0ms	(* x (* x x))
65.0ms	(/ 2 (* x (* x x)))

simplify1.2s

Counts

161 → 161

Iterations

Iter	Nodes
done	2005
3	2005
2	1515
1	426
0	218

prune1.6s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 2 (pow x 7))
0.1b	(* (/ 1 x) (/ 2 (* x x)))
0.1b	(/ 2 (pow x 5))
0.5b	(/ 2 (* x x))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

64×	`times-frac`
61×	`add-sqr-sqrt`
58×	`add-exp-log`
49×	`*-un-lft-identity`
47×	`add-cube-cbrt`
34×	`add-cbrt-cube`
24×	`unpow-prod-down`
22×	`div-exp`
17×	`prod-exp`
15×	`associate-/r*`
13×	`associate-l`
11×	`cbrt-undiv`
9×	`cbrt-unprod` `associate-/l*`
8×	`sqr-pow`
7×	`associate-r`
6×	`pow1` `unswap-sqr`
5×	`div-inv`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`rec-exp` `clear-num` `frac-2neg` `1-exp`
2×	`pow-to-exp` `pow-exp`
1×	`frac-times` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative`

Counts

4 → 179

Calls

4 calls:

11.0ms	(/ 2 (pow x 7))
36.0ms	(* (/ 1 x) (/ 2 (* x x)))
5.0ms	(/ 2 (pow x 5))
6.0ms	(/ 2 (* x x))

series260.0ms

Counts

4 → 12

Calls

4 calls:

96.0ms	(/ 2 (pow x 7))
51.0ms	(* (/ 1 x) (/ 2 (* x x)))
75.0ms	(/ 2 (pow x 5))
38.0ms	(/ 2 (* x x))

simplify952.0ms

Counts

191 → 191

Iterations

Iter	Nodes
done	2002
2	2002
1	606
0	270

prune2.4s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (/ 2 (pow x 5)) (/ (/ 2 x) (* x x)))
0.0b	(/ 2 (pow x 7))
0.1b	(/ (/ 2 x) (* x x))
0.1b	(/ 2 (pow x 5))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

94×	`times-frac`
66×	`*-un-lft-identity`
64×	`add-sqr-sqrt` `add-cube-cbrt`
33×	`unpow-prod-down`
26×	`add-exp-log`
25×	`fma-def`
20×	`add-cbrt-cube`
19×	`associate-/l*`
15×	`associate-/r*`
12×	`div-exp`
11×	`sqr-pow`
8×	`cbrt-undiv`
6×	`div-inv` `add-log-exp`
4×	`expm1-log1p-u` `pow1` `insert-posit16` `log1p-expm1-u`
3×	`clear-num` `frac-2neg`
2×	`pow-to-exp` `pow-exp` `prod-exp` `cbrt-unprod`
1×	`+-commutative` `sum-log` `flip3-+` `frac-add` `flip-+` `distribute-lft-out` `associate-/l/`

Counts

4 → 186

Calls

4 calls:

22.0ms	(+ (/ 2 (pow x 5)) (/ (/ 2 x) (* x x)))
7.0ms	(/ 2 (pow x 7))
21.0ms	(/ (/ 2 x) (* x x))
10.0ms	(/ 2 (pow x 5))

series391.0ms

Counts

4 → 12

Calls

4 calls:

174.0ms	(+ (/ 2 (pow x 5)) (/ (/ 2 x) (* x x)))
77.0ms	(/ 2 (pow x 7))
51.0ms	(/ (/ 2 x) (* x x))
88.0ms	(/ 2 (pow x 5))

simplify834.0ms

Counts

198 → 198

Iterations

Iter	Nodes
done	2004
2	2004
1	591
0	272

prune2.1s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes134.0ms

Accuracy

99.6% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 9.9b

bsearch182.0ms

Steps

Iters	Range		Point
10	1.8230705747381016e-09	4364471.442644652	108.84391371430509
9	-32298.533864343164	-0.030639508246526274	-111.6420365632021

simplify28.0ms

Iterations

Iter	Nodes
done	38
1	38
0	30

end0.0ms

sample2.7s

Algorithm

intervals

Results

1.3s	1927×	body	640	valid
476.0ms	4108×	body	80	valid
402.0ms	564×	body	1280	valid
293.0ms	902×	body	320	valid
131.0ms	500×	body	160	valid