Details

sample73.0ms

Algorithm

intervals

Results

23.0ms	131×	body	80	valid
21.0ms	68×	body	640	valid
7.0ms	16×	body	1280	valid
6.0ms	25×	body	320	valid
2.0ms	16×	body	160	valid

simplify271.0ms

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.5b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (+ x 1))
0.0b	(- (/ 1 (+ x 1)) (/ 2 x))
0.0b	(/ 1 (- x 1))
2.2b	(+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1)))

rewrite707.0ms

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:

12.0ms	(/ 1 (+ x 1))
110.0ms	(- (/ 1 (+ x 1)) (/ 2 x))
12.0ms	(/ 1 (- x 1))
522.0ms	(+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1)))

series212.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(/ 1 (+ x 1))
27.0ms	(- (/ 1 (+ x 1)) (/ 2 x))
27.0ms	(/ 1 (- x 1))
144.0ms	(+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1)))

simplify2.8s

Counts

660 → 660

Iterations

Iter	Nodes
done	5000
2	3002
1	1149
0	495

prune2.2s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize38.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (+ x 1))
0.0b	(/ 1 (- x 1))
0.0b	(+ (/ -2 x) (/ 1 (- x 1)))
2.2b	(+ (/ 1 (+ x 1)) (+ (/ -2 x) (/ 1 (- x 1))))

rewrite277.0ms

Algorithm

rewrite-expression-head

Rules

117×	`*-un-lft-identity`
70×	`times-frac`
56×	`add-sqr-sqrt`
40×	`add-cube-cbrt`
31×	`fma-def` `distribute-lft-out`
12×	`add-exp-log`
11×	`associate-/r*` `add-log-exp`
10×	`div-inv`
8×	`add-cbrt-cube` `difference-of-squares`
7×	`distribute-lft-out--`
6×	`pow1` `associate-/r/` `associate-/l*`
5×	`flip3-+` `frac-add` `flip-+`
4×	`expm1-log1p-u` `sum-log` `difference-of-sqr-1` `div-exp` `insert-posit16` `log1p-expm1-u`
2×	`cbrt-undiv` `+-commutative` `rec-exp` `clear-num` `frac-2neg` `1-exp` `pow-flip` `inv-pow`
1×	`associate-+r+` `flip3--` `flip--`

Counts

4 → 171

Calls

4 calls:

14.0ms	(/ 1 (+ x 1))
12.0ms	(/ 1 (- x 1))
53.0ms	(+ (/ -2 x) (/ 1 (- x 1)))
189.0ms	(+ (/ 1 (+ x 1)) (+ (/ -2 x) (/ 1 (- x 1))))

series214.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(/ 1 (+ x 1))
15.0ms	(/ 1 (- x 1))
48.0ms	(+ (/ -2 x) (/ 1 (- x 1)))
136.0ms	(+ (/ 1 (+ x 1)) (+ (/ -2 x) (/ 1 (- x 1))))

simplify1.9s

Counts

183 → 183

Iterations

Iter	Nodes
done	5002
2	1872
1	548
0	213

prune703.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize45.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (fma (- x 1) (fma -2 (+ x 1) x) (* x (+ x 1))) (* (* x (+ x 1)) (- x 1)))
0.0b	(fma -2 (+ x 1) x)
0.1b	(* (* x (+ x 1)) (- x 1))
31.0b	(fma (- x 1) (fma -2 (+ x 1) x) (* x (+ x 1)))

rewrite142.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 111

Calls

4 calls:

43.0ms	(/ (fma (- x 1) (fma -2 (+ x 1) x) (* x (+ x 1))) (* (* x (+ x 1)) (- x 1)))
0.0ms	(fma -2 (+ x 1) x)
92.0ms	(* (* x (+ x 1)) (- x 1))
1.0ms	(fma (- x 1) (fma -2 (+ x 1) x) (* x (+ x 1)))

series842.0ms

Counts

4 → 12

Calls

4 calls:

381.0ms	(/ (fma (- x 1) (fma -2 (+ x 1) x) (* x (+ x 1))) (* (* x (+ x 1)) (- x 1)))
92.0ms	(fma -2 (+ x 1) x)
127.0ms	(* (* x (+ x 1)) (- x 1))
241.0ms	(fma (- x 1) (fma -2 (+ x 1) x) (* x (+ x 1)))

simplify2.3s

Counts

123 → 123

Iterations

Iter	Nodes
done	5004
2	2516
1	638
0	211

prune543.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(* x (+ x 1))
0.1b	(* (* x (+ x 1)) (- x 1))
0.2b	(/ 2 (* (* x (+ x 1)) (- x 1)))

rewrite167.0ms

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:

29.0ms	(* x (+ x 1))
65.0ms	(* (* x (+ x 1)) (- x 1))
66.0ms	(/ 2 (* (* x (+ x 1)) (- x 1)))

series286.0ms

Counts

3 → 9

Calls

3 calls:

66.0ms	(* x (+ x 1))
126.0ms	(* (* x (+ x 1)) (- x 1))
93.0ms	(/ 2 (* (* x (+ x 1)) (- x 1)))

simplify1.7s

Counts

124 → 124

Iterations

Iter	Nodes
done	5004
2	2484
1	648
0	208

prune476.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes35.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	9
1	9
0	7

end0.0ms

sample2.0s

Algorithm

intervals

Results

678.0ms	1907×	body	640	valid
573.0ms	929×	body	320	valid
346.0ms	4195×	body	80	valid
163.0ms	524×	body	1280	valid
107.0ms	448×	body	160	valid