Details

sample76.0ms

Algorithm

intervals

Results

29.0ms	66×	body	640	valid
14.0ms	126×	body	80	valid
12.0ms	22×	body	1280	valid
9.0ms	28×	body	320	valid
3.0ms	14×	body	160	valid

simplify262.0ms

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: 8.9b

localize18.0ms

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))
2.0b	(+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1)))

rewrite349.0ms

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:

8.0ms	(/ 1 (+ x 1))
18.0ms	(/ 1 (- x 1))
77.0ms	(- (/ 1 (+ x 1)) (/ 2 x))
229.0ms	(+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1)))

series246.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(/ 1 (+ x 1))
19.0ms	(/ 1 (- x 1))
44.0ms	(- (/ 1 (+ x 1)) (/ 2 x))
168.0ms	(+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1)))

simplify1.7s

Counts

660 → 660

Iterations

Iter	Nodes
done	2001
2	2001
1	1149
0	495

prune2.4s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.6b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ x 1) x)
0.0b	(- (* 1 x) (* (+ x 1) 2))
0.0b	(* (* (+ x 1) x) (- x 1))
16.1b	(+ (* (- (* 1 x) (* (+ x 1) 2)) (- x 1)) (* (* (+ x 1) x) 1))

rewrite118.0ms

Algorithm

rewrite-expression-head

Rules

46×	`associate-*l/`
37×	`add-sqr-sqrt` `prod-diff`
36×	`*-un-lft-identity`
31×	`add-cube-cbrt`
22×	`distribute-rgt-in` `associate-+l+` `distribute-lft-in`
16×	`flip3--` `frac-add` `flip--`
13×	`flip3-+` `flip-+`
12×	`frac-times`
11×	`pow1` `add-cbrt-cube` `add-exp-log`
10×	`associate-r`
8×	`add-log-exp`
6×	`associate-*r/`
5×	`sub-neg` `associate-l`
4×	`expm1-log1p-u` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u`
2×	`*-commutative` `difference-of-squares`
1×	`+-commutative` `sum-log` `fma-def` `fma-neg` `diff-log` `difference-of-sqr-1` `distribute-lft-out` `distribute-lft-out--` `unswap-sqr`

Counts

4 → 149

Calls

4 calls:

16.0ms	(* (+ x 1) x)
8.0ms	(- (* 1 x) (* (+ x 1) 2))
39.0ms	(* (* (+ x 1) x) (- x 1))
49.0ms	(+ (* (- (* 1 x) (* (+ x 1) 2)) (- x 1)) (* (* (+ x 1) x) 1))

series246.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(* (+ x 1) x)
37.0ms	(- (* 1 x) (* (+ x 1) 2))
143.0ms	(* (* (+ x 1) x) (- x 1))
3.0ms	(+ (* (- (* 1 x) (* (+ x 1) 2)) (- x 1)) (* (* (+ x 1) x) 1))

simplify1.3s

Counts

161 → 161

Iterations

Iter	Nodes
done	2000
2	2000
1	1056
0	297

prune791.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.6b

localize28.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (+ x 1) x)
0.0b	(* (* (+ x 1) x) (- x 1))
0.6b	(/ 2 (* (* (+ x 1) x) (- x 1)))

rewrite125.0ms

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-*l/`
11×	`distribute-rgt-in` `distribute-lft-in`
10×	`pow1` `associate-r`
8×	`frac-times` `associate-/r/`
7×	`flip3-+` `prod-exp` `cbrt-unprod` `flip-+`
6×	`flip3--` `flip--`
5×	`associate-l`
4×	`pow-prod-down` `associate-*r/`
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 → 113

Calls

3 calls:

17.0ms	(* (+ x 1) x)
48.0ms	(* (* (+ x 1) x) (- x 1))
56.0ms	(/ 2 (* (* (+ x 1) x) (- x 1)))

series261.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(* (+ x 1) x)
134.0ms	(* (* (+ x 1) x) (- x 1))
81.0ms	(/ 2 (* (* (+ x 1) x) (- x 1)))

simplify1.2s

Counts

122 → 122

Iterations

Iter	Nodes
done	2000
2	2000
1	630
0	207

prune421.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ x 1) x)
0.0b	(/ 2 (- x 1))
0.0b	(* (/ 1 (* (+ x 1) x)) (/ 2 (- x 1)))
0.7b	(/ 1 (* (+ x 1) x))

rewrite134.0ms

Algorithm

rewrite-expression-head

Rules

68×	`add-sqr-sqrt`
64×	`add-exp-log`
56×	`*-un-lft-identity`
49×	`times-frac`
34×	`add-cbrt-cube`
33×	`add-cube-cbrt`
30×	`associate-r`
24×	`prod-exp`
20×	`div-exp`
14×	`difference-of-squares`
13×	`associate-l`
11×	`pow1`
10×	`cbrt-undiv` `cbrt-unprod`
8×	`associate-/r*` `associate-/r/`
7×	`difference-of-sqr-1` `associate-*l/` `distribute-lft-out--`
6×	`rec-exp` `1-exp` `associate-/l*`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp`
3×	`flip3-+` `pow-prod-down` `flip-+` `unswap-sqr`
2×	`clear-num` `frac-2neg` `flip3--` `*-commutative` `pow-flip` `flip--`
1×	`frac-times` `associate-*r/` `distribute-lft-out` `inv-pow`

Counts

4 → 178

Calls

4 calls:

27.0ms	(* (+ x 1) x)
15.0ms	(/ 2 (- x 1))
61.0ms	(* (/ 1 (* (+ x 1) x)) (/ 2 (- x 1)))
26.0ms	(/ 1 (* (+ x 1) x))

series194.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(* (+ x 1) x)
27.0ms	(/ 2 (- x 1))
84.0ms	(* (/ 1 (* (+ x 1) x)) (/ 2 (- x 1)))
20.0ms	(/ 1 (* (+ x 1) x))

simplify1.1s

Counts

190 → 190

Iterations

Iter	Nodes
done	2002
2	2002
1	713
0	253

prune624.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

regimes44.0ms

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	12
1	12
0	8

end0.0ms

sample2.7s

Algorithm

intervals

Results

898.0ms	1849×	body	640	valid
727.0ms	988×	body	320	valid
530.0ms	4122×	body	80	valid
310.0ms	561×	body	1280	valid
133.0ms	481×	body	160	valid