Details

sample91.0ms

Algorithm

intervals

Results

30.0ms	57×	body	640	valid
19.0ms	135×	body	80	valid
16.0ms	39×	body	320	valid
10.0ms	15×	body	1280	valid
3.0ms	10×	body	160	valid

simplify275.0ms

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.3b

localize21.0ms

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))
2.8b	(+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1)))

rewrite433.0ms

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:

17.0ms	(/ 1 (- x 1))
17.0ms	(/ 1 (+ x 1))
77.0ms	(- (/ 1 (+ x 1)) (/ 2 x))
285.0ms	(+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1)))

series234.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(/ 1 (- x 1))
23.0ms	(/ 1 (+ x 1))
40.0ms	(- (/ 1 (+ x 1)) (/ 2 x))
151.0ms	(+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1)))

simplify1.5s

Counts

660 → 660

Iterations

Iter	Nodes
done	2000
2	2000
1	1149
0	495

prune3.1s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.3b

localize59.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- x (* 2 (+ 1 x))) (- x 1))
0.0b	(/ (fma x (+ 1 x) (* (- x (* 2 (+ 1 x))) (- x 1))) (* (* x (+ 1 x)) (- x 1)))
0.1b	(* (* x (+ 1 x)) (- x 1))
29.6b	(fma x (+ 1 x) (* (- x (* 2 (+ 1 x))) (- x 1)))

rewrite148.0ms

Algorithm

rewrite-expression-head

Rules

43×	`add-sqr-sqrt`
39×	`*-un-lft-identity`
36×	`prod-diff`
33×	`add-cube-cbrt`
22×	`distribute-rgt-in` `distribute-lft-in`
20×	`add-cbrt-cube` `add-exp-log`
18×	`associate-*r/`
14×	`associate-r`
12×	`frac-times` `flip3--` `flip--`
11×	`pow1`
8×	`associate-/r/`
7×	`prod-exp` `cbrt-unprod`
6×	`flip3-+` `associate-*l/` `flip-+`
4×	`expm1-log1p-u` `sub-neg` `associate-l` `pow-prod-down` `insert-posit16` `log1p-expm1-u` `add-log-exp` `difference-of-squares`
3×	`cbrt-undiv` `times-frac` `div-exp` `associate-/l*`
2×	`difference-of-sqr-1` `*-commutative` `distribute-lft-out--`
1×	`clear-num` `associate-/r*` `frac-2neg` `fma-udef` `div-inv` `unswap-sqr`

Counts

4 → 155

Calls

4 calls:

24.0ms	(* (- x (* 2 (+ 1 x))) (- x 1))
53.0ms	(/ (fma x (+ 1 x) (* (- x (* 2 (+ 1 x))) (- x 1))) (* (* x (+ 1 x)) (- x 1)))
66.0ms	(* (* x (+ 1 x)) (- x 1))
1.0ms	(fma x (+ 1 x) (* (- x (* 2 (+ 1 x))) (- x 1)))

series768.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(* (- x (* 2 (+ 1 x))) (- x 1))
362.0ms	(/ (fma x (+ 1 x) (* (- x (* 2 (+ 1 x))) (- x 1))) (* (* x (+ 1 x)) (- x 1)))
154.0ms	(* (* x (+ 1 x)) (- x 1))
216.0ms	(fma x (+ 1 x) (* (- x (* 2 (+ 1 x))) (- x 1)))

simplify1.4s

Counts

167 → 167

Iterations

Iter	Nodes
done	2003
2	2003
1	873
0	278

prune785.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.2b

localize27.0ms

Local error

Found 3 expressions with local error:

0.0b	(* x (+ 1 x))
0.1b	(* (* x (+ 1 x)) (- x 1))
0.3b	(/ 2 (* (* x (+ 1 x)) (- x 1)))

rewrite120.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
25×	`*-un-lft-identity`
20×	`add-cube-cbrt`
19×	`add-cbrt-cube` `add-exp-log`
18×	`prod-diff` `associate-*r/`
12×	`distribute-rgt-in` `distribute-lft-in`
11×	`associate-r`
10×	`pow1`
8×	`frac-times` `associate-/r/`
7×	`flip3-+` `prod-exp` `cbrt-unprod` `flip-+`
6×	`flip3--` `flip--`
4×	`associate-l` `pow-prod-down` `associate-*l/`
3×	`expm1-log1p-u` `cbrt-undiv` `times-frac` `div-exp` `insert-posit16` `log1p-expm1-u` `associate-/l*` `add-log-exp`
2×	`sub-neg` `*-commutative` `difference-of-squares`
1×	`clear-num` `associate-/r*` `frac-2neg` `difference-of-sqr-1` `div-inv` `distribute-lft-out` `distribute-lft-out--` `unswap-sqr`

Counts

3 → 115

Calls

3 calls:

26.0ms	(* x (+ 1 x))
49.0ms	(* (* x (+ 1 x)) (- x 1))
42.0ms	(/ 2 (* (* x (+ 1 x)) (- x 1)))

series294.0ms

Counts

3 → 9

Calls

3 calls:

62.0ms	(* x (+ 1 x))
147.0ms	(* (* x (+ 1 x)) (- x 1))
85.0ms	(/ 2 (* (* x (+ 1 x)) (- x 1)))

simplify1.2s

Counts

124 → 124

Iterations

Iter	Nodes
done	2009
2	2009
1	669
0	211

prune522.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(* x (+ 1 x))
0.1b	(/ (/ 2 (* x (+ 1 x))) (- x 1))
0.3b	(/ 2 (* x (+ 1 x)))

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

90×	`times-frac`
75×	`add-sqr-sqrt`
65×	`*-un-lft-identity`
33×	`add-cube-cbrt`
20×	`associate-*r/` `associate-/r/` `difference-of-squares`
19×	`add-cbrt-cube` `add-exp-log`
12×	`associate-/l*`
10×	`flip3-+` `difference-of-sqr-1` `flip-+` `div-inv` `distribute-lft-out--`
8×	`associate-/r*`
7×	`cbrt-undiv` `div-exp`
5×	`pow1`
4×	`associate-r`
3×	`expm1-log1p-u` `associate-l` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`clear-num` `frac-2neg`
1×	`distribute-rgt-in` `distribute-lft-in` `flip3--` `pow-prod-down` `*-commutative` `flip--` `distribute-lft-out` `unswap-sqr` `associate-/l/`

Counts

3 → 153

Calls

3 calls:

26.0ms	(* x (+ 1 x))
24.0ms	(/ (/ 2 (* x (+ 1 x))) (- x 1))
12.0ms	(/ 2 (* x (+ 1 x)))

series204.0ms

Counts

3 → 9

Calls

3 calls:

72.0ms	(* x (+ 1 x))
99.0ms	(/ (/ 2 (* x (+ 1 x))) (- x 1))
33.0ms	(/ 2 (* x (+ 1 x)))

simplify1.3s

Counts

162 → 162

Iterations

Iter	Nodes
done	2001
2	2001
1	691
0	250

prune603.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes37.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	12
1	12
0	8

end0.0ms

sample2.6s

Algorithm

intervals

Results

1.2s	1926×	body	640	valid
511.0ms	4108×	body	80	valid
297.0ms	562×	body	1280	valid
288.0ms	941×	body	320	valid
109.0ms	464×	body	160	valid