Details

sample42.0ms

Algorithm

intervals

Results

15.0ms	72×	body	640	valid
7.0ms	126×	body	80	valid
7.0ms	20×	body	160	valid
6.0ms	38×	body	320	valid

simplify10.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	15
2	15
1	11
0	6

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.9b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 1 (+ x 1))
3.0b	(- (/ 1 (+ x 1)) (/ 1 x))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

48×	`*-un-lft-identity`
39×	`add-sqr-sqrt`
36×	`times-frac`
15×	`add-cube-cbrt`
10×	`distribute-lft-out--`
9×	`difference-of-squares`
7×	`distribute-lft-out`
6×	`add-exp-log`
5×	`div-inv`
4×	`associate-/r*` `add-cbrt-cube` `add-log-exp`
3×	`pow1` `associate-/l*`
2×	`div-exp` `associate-/r/` `insert-posit16`
1×	`cbrt-undiv` `rec-exp` `clear-num` `sub-neg` `frac-2neg` `flip3-+` `flip3--` `diff-log` `1-exp` `frac-sub` `flip-+` `pow-flip` `flip--` `inv-pow`

Counts

2 → 71

Calls

2 calls:

13.0ms	(/ 1 (+ x 1))
30.0ms	(- (/ 1 (+ x 1)) (/ 1 x))

series44.0ms

Counts

2 → 6

Calls

2 calls:

20.0ms	(/ 1 (+ x 1))
24.0ms	(- (/ 1 (+ x 1)) (/ 1 x))

simplify1.1s

Counts

77 → 77

Iterations

Iter	Nodes
done	2005
4	2005
3	1775
2	775
1	269
0	124

prune498.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.4b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (+ x 1) x)
0.0b	(/ (- x (+ x 1)) (* (+ x 1) x))
2.4b	(- x (+ x 1))

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

24×	`*-un-lft-identity`
15×	`add-sqr-sqrt`
10×	`add-cbrt-cube` `add-exp-log`
8×	`add-log-exp`
7×	`add-cube-cbrt`
6×	`times-frac` `associate-/l*` `distribute-lft-out--`
5×	`pow1`
4×	`associate-l` `associate-*l/` `distribute-lft-out`
3×	`associate-r` `insert-posit16` `difference-of-squares`
2×	`cbrt-undiv` `flip3-+` `flip3--` `diff-log` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `flip-+` `flip--` `associate-/l/`
1×	`clear-num` `associate-/r` `sum-log` `sub-neg` `frac-2neg` `div-sub` `pow-prod-down` `-commutative` `div-inv` `associate--r+` `unswap-sqr`

Counts

3 → 73

Calls

3 calls:

19.0ms	(* (+ x 1) x)
50.0ms	(/ (- x (+ x 1)) (* (+ x 1) x))
10.0ms	(- x (+ x 1))

series120.0ms

Counts

3 → 9

Calls

3 calls:

74.0ms	(* (+ x 1) x)
34.0ms	(/ (- x (+ x 1)) (* (+ x 1) x))
11.0ms	(- x (+ x 1))

simplify1.3s

Counts

82 → 82

Iterations

Iter	Nodes
done	2070
3	2070
2	1356
1	309
0	114

prune598.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ -1 (+ x 1))
0.1b	(/ (/ -1 (+ x 1)) x)

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

114×	`times-frac`
94×	`*-un-lft-identity`
62×	`add-sqr-sqrt` `add-cube-cbrt`
21×	`associate-/l*`
16×	`distribute-lft-out`
10×	`associate-/r/`
9×	`add-cbrt-cube` `add-exp-log`
7×	`associate-/r*`
6×	`div-inv`
5×	`flip3-+` `flip-+`
4×	`cbrt-undiv` `div-exp`
2×	`pow1` `clear-num` `frac-2neg` `insert-posit16` `add-log-exp`
1×	`associate-/l/`

Counts

2 → 125

Calls

2 calls:

16.0ms	(/ -1 (+ x 1))
32.0ms	(/ (/ -1 (+ x 1)) x)

series57.0ms

Counts

2 → 6

Calls

2 calls:

23.0ms	(/ -1 (+ x 1))
33.0ms	(/ (/ -1 (+ x 1)) x)

simplify1.3s

Counts

131 → 131

Iterations

Iter	Nodes
done	2002
3	2002
2	1443
1	486
0	199

prune889.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize32.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (/ -1 (- (* x x) 1)) (/ (- x 1) x))
0.4b	(/ -1 (- (* x x) 1))

rewrite99.0ms

Algorithm

rewrite-expression-head

Rules

65×	`add-sqr-sqrt`
61×	`times-frac`
50×	`*-un-lft-identity`
34×	`add-cube-cbrt`
25×	`associate-r`
24×	`associate-l`
20×	`difference-of-squares`
16×	`add-cbrt-cube` `add-exp-log`
10×	`difference-of-sqr-1`
6×	`associate-/r*`
5×	`cbrt-undiv` `div-exp`
4×	`pow1` `prod-exp` `associate-/r/` `cbrt-unprod` `unswap-sqr`
3×	`div-inv` `associate-/l*` `distribute-lft-out--`
2×	`flip3--` `insert-posit16` `flip--` `add-log-exp`
1×	`frac-times` `clear-num` `frac-2neg` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative`

Counts

2 → 116

Calls

2 calls:

75.0ms	(* (/ -1 (- (* x x) 1)) (/ (- x 1) x))
22.0ms	(/ -1 (- (* x x) 1))

series93.0ms

Counts

2 → 6

Calls

2 calls:

59.0ms	(* (/ -1 (- (* x x) 1)) (/ (- x 1) x))
33.0ms	(/ -1 (- (* x x) 1))

simplify1.4s

Counts

122 → 122

Iterations

Iter	Nodes
done	2000
3	2000
2	1914
1	587
0	203

prune882.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes37.0ms

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	9
1	9
0	6

end0.0ms

sample1.8s

Algorithm

intervals

Results

685.0ms	4165×	body	80	valid
636.0ms	1954×	body	640	valid
282.0ms	1225×	body	320	valid
82.0ms	656×	body	160	valid