Details

sample22.0ms

Algorithm

intervals

Results

6.0ms	60×	body	640	valid
4.0ms	136×	body	80	valid
2.0ms	18×	body	1280	valid
2.0ms	26×	body	320	valid
1.0ms	16×	body	160	valid

simplify81.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	15
1	18	15
2	31	15
3	41	15
4	52	15
5	65	15
6	80	15
7	103	15
8	123	15
9	141	15
done	141	15

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.1b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1.0 (- x 1.0))
0.0b	(/ 1.0 (+ x 1.0))
0.0b	(- (/ 1.0 (+ x 1.0)) (/ 2.0 x))
2.7b	(+ (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (/ 1.0 (- x 1.0)))

rewrite357.0ms

Algorithm

rewrite-expression-head

Rules

725×	`*-un-lft-identity`
703×	`times-frac`
524×	`add-sqr-sqrt`
492×	`add-cube-cbrt`
468×	`prod-diff`
236×	`associate-+l+`
95×	`distribute-lft-out`
65×	`div-inv`
58×	`associate-/r/`
29×	`flip3-+` `flip-+`
18×	`fma-neg`
17×	`distribute-lft-out--`
12×	`difference-of-squares`
11×	`add-log-exp`
10×	`fma-def`
9×	`associate-/r*`
8×	`add-exp-log` `add-cbrt-cube`
6×	`associate-/l*`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u`
3×	`flip3--` `frac-add` `flip--`
2×	`cbrt-undiv` `sub-neg` `frac-2neg` `diff-log` `div-exp` `clear-num` `sum-log` `frac-sub`
1×	`+-commutative` `associate-+l-`

Counts

4 → 618

Calls

4 calls:

6.0ms	(/ 1.0 (- x 1.0))
5.0ms	(/ 1.0 (+ x 1.0))
51.0ms	(- (/ 1.0 (+ x 1.0)) (/ 2.0 x))
241.0ms	(+ (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (/ 1.0 (- x 1.0)))

series321.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(/ 1.0 (- x 1.0))
26.0ms	(/ 1.0 (+ x 1.0))
45.0ms	(- (/ 1.0 (+ x 1.0)) (/ 2.0 x))
222.0ms	(+ (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (/ 1.0 (- x 1.0)))

simplify1.4s

Counts

630 → 630

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	502	19834
1	1159	17345
2	3599	12902
done	5000	12830

prune1.3s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.2b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ x 1.0) x)
0.0b	(- (* 1.0 x) (* (+ x 1.0) 2.0))
0.0b	(* (* (+ x 1.0) x) (- x 1.0))
30.1b	(fma (- (* 1.0 x) (* (+ x 1.0) 2.0)) (- x 1.0) (* (* (+ x 1.0) x) 1.0))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt` `*-un-lft-identity`
19×	`add-cube-cbrt` `prod-diff`
11×	`pow1` `add-exp-log` `distribute-rgt-in` `distribute-lft-in` `add-cbrt-cube`
10×	`associate-*l/`
8×	`associate-r`
6×	`add-log-exp`
5×	`associate-l`
4×	`expm1-log1p-u` `frac-times` `flip3--` `flip3-+` `pow-prod-down` `prod-exp` `flip--` `cbrt-unprod` `flip-+` `log1p-expm1-u`
3×	`sub-neg`
2×	`associate-r/` `-commutative`
1×	`fma-neg` `diff-log` `fma-udef` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 101

Calls

4 calls:

10.0ms	(* (+ x 1.0) x)
3.0ms	(- (* 1.0 x) (* (+ x 1.0) 2.0))
22.0ms	(* (* (+ x 1.0) x) (- x 1.0))
0.0ms	(fma (- (* 1.0 x) (* (+ x 1.0) 2.0)) (- x 1.0) (* (* (+ x 1.0) x) 1.0))

series364.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(* (+ x 1.0) x)
39.0ms	(- (* 1.0 x) (* (+ x 1.0) 2.0))
98.0ms	(* (* (+ x 1.0) x) (- x 1.0))
181.0ms	(fma (- (* 1.0 x) (* (+ x 1.0) 2.0)) (- x 1.0) (* (* (+ x 1.0) x) 1.0))

simplify1.2s

Counts

113 → 113

Iterations

Useful iterations: 2 (173.0ms)

Iter	Nodes	Cost
0	188	1892
1	513	1690
2	2453	1445
done	5000	1445

prune231.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.2b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (+ x 1.0) x)
0.0b	(* (* (+ x 1.0) x) (- x 1.0))
0.2b	(/ 2.0 (* (* (+ x 1.0) x) (- x 1.0)))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 108

Calls

3 calls:

11.0ms	(* (+ x 1.0) x)
24.0ms	(* (* (+ x 1.0) x) (- x 1.0))
17.0ms	(/ 2.0 (* (* (+ x 1.0) x) (- x 1.0)))

series251.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(* (+ x 1.0) x)
100.0ms	(* (* (+ x 1.0) x) (- x 1.0))
104.0ms	(/ 2.0 (* (* (+ x 1.0) x) (- x 1.0)))

simplify1.5s

Counts

117 → 117

Iterations

Useful iterations: 2 (201.0ms)

Iter	Nodes	Cost
0	206	1975
1	568	1770
2	2698	1493
done	5000	1493

prune218.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 2.0 (- x 1.0))
0.0b	(* (+ x 1.0) x)
0.1b	(* (/ 1 (* (+ x 1.0) x)) (/ 2.0 (- x 1.0)))
0.4b	(/ 1 (* (+ x 1.0) x))

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 160

Calls

4 calls:

5.0ms	(/ 2.0 (- x 1.0))
10.0ms	(* (+ x 1.0) x)
46.0ms	(* (/ 1 (* (+ x 1.0) x)) (/ 2.0 (- x 1.0)))
8.0ms	(/ 1 (* (+ x 1.0) x))

series202.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(/ 2.0 (- x 1.0))
43.0ms	(* (+ x 1.0) x)
94.0ms	(* (/ 1 (* (+ x 1.0) x)) (/ 2.0 (- x 1.0)))
33.0ms	(/ 1 (* (+ x 1.0) x))

simplify1.4s

Counts

172 → 172

Iterations

Useful iterations: 2 (282.0ms)

Iter	Nodes	Cost
0	245	2225
1	679	1984
2	3224	1700
done	5001	1700

prune330.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

regimes21.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	13
1	15	13
done	15	13

end0.0ms

sample614.0ms

Algorithm

intervals

Results

202.0ms	1837×	body	640	valid
125.0ms	4155×	body	80	valid
82.0ms	976×	body	320	valid
75.0ms	550×	body	1280	valid
29.0ms	482×	body	160	valid