Details

sample67.0ms

Algorithm

intervals

Results

19.0ms	70×	body	640	valid
15.0ms	122×	body	80	valid
9.0ms	24×	body	1280	valid
6.0ms	29×	body	320	valid
1.0ms	11×	body	160	valid

simplify3.9s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
10	4810
9	1188
8	437
7	210
6	162
5	135
4	89
3	41
2	31
1	18
0	10

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.3b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1.0 (+ x 1.0))
0.0b	(- (/ 1.0 (+ x 1.0)) (/ 2.0 x))
0.0b	(/ 1.0 (- x 1.0))
2.1b	(+ (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (/ 1.0 (- x 1.0)))

rewrite480.0ms

Algorithm

rewrite-expression-head

Rules

83×	`*-un-lft-identity`
47×	`times-frac`
43×	`add-sqr-sqrt`
23×	`add-cube-cbrt`
14×	`distribute-lft-out--`
13×	`distribute-lft-out`
11×	`add-log-exp`
9×	`associate-/r*`
8×	`add-cbrt-cube` `add-exp-log` `difference-of-squares`
6×	`associate-/l*`
4×	`pow1` `associate-/r/`
3×	`flip3--` `frac-add` `flip--`
2×	`cbrt-undiv` `associate-+l+` `clear-num` `sum-log` `sub-neg` `frac-2neg` `flip3-+` `diff-log` `div-exp` `frac-sub` `flip-+` `div-inv`
1×	`+-commutative` `associate-+l-`

Counts

4 → 114

Calls

4 calls:

12.0ms	(/ 1.0 (+ x 1.0))
97.0ms	(- (/ 1.0 (+ x 1.0)) (/ 2.0 x))
17.0ms	(/ 1.0 (- x 1.0))
350.0ms	(+ (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (/ 1.0 (- x 1.0)))

series471.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(/ 1.0 (+ x 1.0))
53.0ms	(- (/ 1.0 (+ x 1.0)) (/ 2.0 x))
51.0ms	(/ 1.0 (- x 1.0))
335.0ms	(+ (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (/ 1.0 (- x 1.0)))

simplify1.3s

Counts

126 → 126

Iterations

Iter	Nodes
done	5000
2	1955
1	515
0	212

prune580.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- (* 1.0 x) (* (+ x 1.0) 2.0)) (- x 1.0))
0.0b	(- (* 1.0 x) (* (+ x 1.0) 2.0))
0.0b	(* (* (+ x 1.0) x) (- x 1.0))
17.3b	(+ (* (- (* 1.0 x) (* (+ x 1.0) 2.0)) (- x 1.0)) (* (* (+ x 1.0) x) 1.0))

rewrite126.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 107

Calls

4 calls:

32.0ms	(* (- (* 1.0 x) (* (+ x 1.0) 2.0)) (- x 1.0))
11.0ms	(- (* 1.0 x) (* (+ x 1.0) 2.0))
57.0ms	(* (* (+ x 1.0) x) (- x 1.0))
22.0ms	(+ (* (- (* 1.0 x) (* (+ x 1.0) 2.0)) (- x 1.0)) (* (* (+ x 1.0) x) 1.0))

series248.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(* (- (* 1.0 x) (* (+ x 1.0) 2.0)) (- x 1.0))
46.0ms	(- (* 1.0 x) (* (+ x 1.0) 2.0))
146.0ms	(* (* (+ x 1.0) x) (- x 1.0))
2.0ms	(+ (* (- (* 1.0 x) (* (+ x 1.0) 2.0)) (- x 1.0)) (* (* (+ x 1.0) x) 1.0))

simplify1.4s

Counts

119 → 119

Iterations

Iter	Nodes
done	5000
1	822
0	228

prune670.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

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)))

rewrite113.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 84

Calls

3 calls:

29.0ms	(* (+ x 1.0) x)
37.0ms	(* (* (+ x 1.0) x) (- x 1.0))
42.0ms	(/ 2.0 (* (* (+ x 1.0) x) (- x 1.0)))

series356.0ms

Counts

3 → 9

Calls

3 calls:

79.0ms	(* (+ x 1.0) x)
149.0ms	(* (* (+ x 1.0) x) (- x 1.0))
127.0ms	(/ 2.0 (* (* (+ x 1.0) x) (- x 1.0)))

simplify1.9s

Counts

93 → 93

Iterations

Iter	Nodes
done	5000
2	3040
1	447
0	154

prune453.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ x 1.0) x)
0.0b	(/ 2.0 (- x 1.0))
0.1b	(* (/ 1 (* (+ x 1.0) x)) (/ 2.0 (- x 1.0)))
0.6b	(/ 1 (* (+ x 1.0) x))

rewrite143.0ms

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` `associate-/r` `1-exp` `associate-/l`
4×	`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 → 152

Calls

4 calls:

17.0ms	(* (+ x 1.0) x)
16.0ms	(/ 2.0 (- x 1.0))
89.0ms	(* (/ 1 (* (+ x 1.0) x)) (/ 2.0 (- x 1.0)))
15.0ms	(/ 1 (* (+ x 1.0) x))

series271.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(* (+ x 1.0) x)
39.0ms	(/ 2.0 (- x 1.0))
128.0ms	(* (/ 1 (* (+ x 1.0) x)) (/ 2.0 (- x 1.0)))
42.0ms	(/ 1 (* (+ x 1.0) x))

simplify2.6s

Counts

164 → 164

Iterations

Iter	Nodes
done	5000
2	4330
1	695
0	237

prune709.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes38.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	15
2	15
1	14
0	10

end0.0ms

sample1.9s

Algorithm

intervals

Results

664.0ms	555×	body	1280	valid
543.0ms	1910×	body	640	valid
219.0ms	4156×	body	80	valid
196.0ms	916×	body	320	valid
105.0ms	463×	body	160	valid