Details

sample63.0ms

Algorithm

intervals

Results

16.0ms	54×	body	640	valid
15.0ms	16×	body	1280	valid
11.0ms	153×	body	80	valid
5.0ms	20×	body	320	valid
2.0ms	13×	body	160	valid

simplify287.0ms

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.5b

localize34.0ms

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))
1.2b	(+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1)))

rewrite672.0ms

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))
12.0ms	(/ 1 (- x 1))
94.0ms	(- (/ 1 (+ x 1)) (/ 2 x))
489.0ms	(+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1)))

series199.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(/ 1 (+ x 1))
24.0ms	(/ 1 (- x 1))
31.0ms	(- (/ 1 (+ x 1)) (/ 2 x))
121.0ms	(+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1)))

simplify2.8s

Counts

660 → 660

Iterations

Iter	Nodes
done	5004
2	2884
1	1149
0	495

prune2.5s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.2b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ x 1) x)
0.0b	(/ (fma (- x 1) (fma (+ x 1) -2 x) (* (+ x 1) x)) (* (* (+ x 1) x) (- x 1)))
0.0b	(* (* (+ x 1) x) (- x 1))
26.2b	(fma (- x 1) (fma (+ x 1) -2 x) (* (+ x 1) x))

rewrite160.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 124

Calls

4 calls:

32.0ms	(* (+ x 1) x)
53.0ms	(/ (fma (- x 1) (fma (+ x 1) -2 x) (* (+ x 1) x)) (* (* (+ x 1) x) (- x 1)))
71.0ms	(* (* (+ x 1) x) (- x 1))
1.0ms	(fma (- x 1) (fma (+ x 1) -2 x) (* (+ x 1) x))

series780.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(* (+ x 1) x)
358.0ms	(/ (fma (- x 1) (fma (+ x 1) -2 x) (* (+ x 1) x)) (* (* (+ x 1) x) (- x 1)))
156.0ms	(* (* (+ x 1) x) (- x 1))
211.0ms	(fma (- x 1) (fma (+ x 1) -2 x) (* (+ x 1) x))

simplify2.3s

Counts

136 → 136

Iterations

Iter	Nodes
done	5009
2	2156
1	643
0	215

prune714.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.2b

localize21.0ms

Local error

Found 3 expressions with local error:

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

rewrite164.0ms

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:

39.0ms	(* (+ x 1) x)
70.0ms	(* (* (+ x 1) x) (- x 1))
48.0ms	(/ 2 (* (* (+ x 1) x) (- x 1)))

series288.0ms

Counts

3 → 9

Calls

3 calls:

51.0ms	(* (+ x 1) x)
148.0ms	(* (* (+ x 1) x) (- x 1))
89.0ms	(/ 2 (* (* (+ x 1) x) (- x 1)))

simplify2.0s

Counts

122 → 122

Iterations

Iter	Nodes
done	5002
2	2775
1	630
0	207

prune460.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (+ x 1) x)
0.0b	(/ (/ 2 (* (+ x 1) x)) (- x 1))
0.5b	(/ 2 (* (+ x 1) x))

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

90×	`times-frac`
75×	`add-sqr-sqrt`
65×	`*-un-lft-identity`
33×	`add-cube-cbrt`
20×	`associate-*l/` `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-l`
3×	`expm1-log1p-u` `associate-r` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`clear-num` `frac-2neg`
1×	`flip3--` `pow-prod-down` `*-commutative` `flip--` `distribute-lft-out` `unswap-sqr` `associate-/l/`

Counts

3 → 151

Calls

3 calls:

22.0ms	(* (+ x 1) x)
34.0ms	(/ (/ 2 (* (+ x 1) x)) (- x 1))
12.0ms	(/ 2 (* (+ x 1) x))

series162.0ms

Counts

3 → 9

Calls

3 calls:

60.0ms	(* (+ x 1) x)
67.0ms	(/ (/ 2 (* (+ x 1) x)) (- x 1))
35.0ms	(/ 2 (* (+ x 1) x))

simplify2.1s

Counts

160 → 160

Iterations

Iter	Nodes
done	5003
2	2132
1	672
0	248

prune618.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes42.0ms

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

sample2.0s

Algorithm

intervals

Results

1.0s	1888×	body	640	valid
418.0ms	4145×	body	80	valid
178.0ms	938×	body	320	valid
177.0ms	557×	body	1280	valid
114.0ms	475×	body	160	valid