Details

sample73.0ms

Algorithm

intervals

Results

21.0ms	60×	body	640	valid
19.0ms	124×	body	80	valid
11.0ms	34×	body	320	valid
8.0ms	18×	body	1280	valid
4.0ms	20×	body	160	valid

simplify206.0ms

Counts

1 → 1

Iterations

Iter	Nodes
11	214
10	214
9	204
8	139
7	97
6	86
5	78
4	65
3	45
2	35
1	21
0	10

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.9b

localize20.0ms

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))
3.4b	(+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1)))

rewrite228.0ms

Algorithm

rewrite-expression-head

Rules

98×	`*-un-lft-identity`
58×	`add-sqr-sqrt`
56×	`times-frac`
25×	`add-cube-cbrt`
18×	`distribute-lft-out--`
17×	`distribute-lft-out`
14×	`difference-of-squares`
12×	`add-exp-log`
11×	`associate-/r*` `add-log-exp`
8×	`add-cbrt-cube` `div-inv`
6×	`pow1` `associate-/l*`
4×	`difference-of-sqr-1` `div-exp` `associate-/r/` `insert-posit16`
3×	`flip3--` `frac-add` `flip--`
2×	`cbrt-undiv` `rec-exp` `associate-+l+` `clear-num` `sum-log` `sub-neg` `frac-2neg` `flip3-+` `diff-log` `1-exp` `frac-sub` `flip-+` `pow-flip` `inv-pow`
1×	`+-commutative` `associate-+l-`

Counts

4 → 141

Calls

4 calls:

18.0ms	(/ 1 (- x 1))
12.0ms	(/ 1 (+ x 1))
35.0ms	(- (/ 1 (+ x 1)) (/ 2 x))
159.0ms	(+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1)))

series208.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(/ 1 (- x 1))
14.0ms	(/ 1 (+ x 1))
31.0ms	(- (/ 1 (+ x 1)) (/ 2 x))
135.0ms	(+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1)))

simplify3.2s

Counts

153 → 153

Iterations

Iter	Nodes
3	3670
2	1377
1	493
0	219

prune1.2s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize65.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- (* 1 x) (* (+ x 1) 2)) (- x 1))
0.0b	(- (* 1 x) (* (+ x 1) 2))
0.1b	(* (* (+ x 1) x) (- x 1))
20.5b	(+ (* (- (* 1 x) (* (+ x 1) 2)) (- x 1)) (* (* (+ x 1) x) 1))

rewrite148.0ms

Algorithm

rewrite-expression-head

Rules

46×	`associate-*l/`
22×	`flip3--` `flip--`
17×	`add-sqr-sqrt`
16×	`frac-times` `frac-add`
14×	`associate-r`
13×	`*-un-lft-identity`
12×	`flip3-+` `flip-+`
11×	`pow1` `add-cbrt-cube` `add-exp-log`
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` `insert-posit16` `difference-of-squares`
2×	`difference-of-sqr-1` `*-commutative` `distribute-lft-out--`
1×	`+-commutative` `sum-log` `diff-log` `unswap-sqr`

Counts

4 → 115

Calls

4 calls:

53.0ms	(* (- (* 1 x) (* (+ x 1) 2)) (- x 1))
7.0ms	(- (* 1 x) (* (+ x 1) 2))
36.0ms	(* (* (+ x 1) x) (- x 1))
49.0ms	(+ (* (- (* 1 x) (* (+ x 1) 2)) (- x 1)) (* (* (+ x 1) x) 1))

series211.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(* (- (* 1 x) (* (+ x 1) 2)) (- x 1))
36.0ms	(- (* 1 x) (* (+ x 1) 2))
133.0ms	(* (* (+ x 1) x) (- x 1))
3.0ms	(+ (* (- (* 1 x) (* (+ x 1) 2)) (- x 1)) (* (* (+ x 1) x) 1))

simplify1.3s

Counts

127 → 127

Iterations

Iter	Nodes
2	3710
1	813
0	231

prune1.3s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 3 expressions with local error:

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

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-cbrt-cube` `add-exp-log`
18×	`associate-*l/`
14×	`add-sqr-sqrt`
13×	`*-un-lft-identity`
10×	`pow1` `associate-r`
8×	`frac-times` `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` `insert-posit16` `associate-/l*` `add-log-exp`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `*-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 → 89

Calls

3 calls:

26.0ms	(* (+ x 1) x)
37.0ms	(* (* (+ x 1) x) (- x 1))
26.0ms	(/ 2 (* (* (+ x 1) x) (- x 1)))

series248.0ms

Counts

3 → 9

Calls

3 calls:

57.0ms	(* (+ x 1) x)
128.0ms	(* (* (+ x 1) x) (- x 1))
64.0ms	(/ 2 (* (* (+ x 1) x) (- x 1)))

simplify5.2s

Counts

98 → 98

Iterations

Iter	Nodes
3	7325
2	1541
1	450
0	156

prune576.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (+ x 1) x)
0.1b	(/ (/ 2 (* (+ x 1) x)) (- x 1))
0.6b	(/ 2 (* (+ x 1) x))

rewrite93.0ms

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×	`associate-r` `prod-exp` `cbrt-unprod` `insert-posit16` `add-log-exp`
2×	`clear-num` `frac-2neg`
1×	`flip3--` `pow-prod-down` `*-commutative` `flip--` `distribute-lft-out` `unswap-sqr` `associate-/l/`

Counts

3 → 145

Calls

3 calls:

29.0ms	(* (+ x 1) x)
42.0ms	(/ (/ 2 (* (+ x 1) x)) (- x 1))
18.0ms	(/ 2 (* (+ x 1) x))

series199.0ms

Counts

3 → 9

Calls

3 calls:

74.0ms	(* (+ x 1) x)
103.0ms	(/ (/ 2 (* (+ x 1) x)) (- x 1))
22.0ms	(/ 2 (* (+ x 1) x))

simplify6.5s

Counts

154 → 154

Iterations

Iter	Nodes
3	6694
2	1670
1	621
0	242

prune1.2s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes52.0ms

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
2	11
1	11
0	8

end0.0ms

sample2.7s

Algorithm

intervals

Results

889.0ms	1890×	body	640	valid
687.0ms	537×	body	1280	valid
490.0ms	4160×	body	80	valid
405.0ms	926×	body	320	valid
123.0ms	490×	body	160	valid