Details

sample52.0ms

Algorithm

intervals

Results

13.0ms	57×	body	640	valid
8.0ms	136×	body	80	valid
7.0ms	46×	body	320	valid
1.0ms	17×	body	160	valid

simplify31.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	15
2	15
1	12
0	7

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.2b

localize88.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1.0 (+ x 1.0))
0.0b	(/ 1.0 (- x 1.0))
3.2b	(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

rewrite287.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 105

Calls

3 calls:

38.0ms	(/ 1.0 (+ x 1.0))
39.0ms	(/ 1.0 (- x 1.0))
193.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

series335.0ms

Counts

3 → 9

Calls

3 calls:

43.0ms	(/ 1.0 (+ x 1.0))
47.0ms	(/ 1.0 (- x 1.0))
245.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

simplify7.1s

Counts

114 → 114

Iterations

Iter	Nodes
done	5002
3	4416
2	1170
1	413
0	178

prune931.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 1.0b

localize93.0ms

Local error

Found 2 expressions with local error:

0.9b	(/ 1.0 (- (* x x) (* 1.0 1.0)))
2.4b	(- (- x 1.0) (+ x 1.0))

rewrite188.0ms

Algorithm

rewrite-expression-head

Rules

23×	`*-un-lft-identity`
14×	`add-log-exp`
13×	`add-sqr-sqrt`
12×	`times-frac`
11×	`add-cube-cbrt`
6×	`diff-log` `distribute-lft-out--`
5×	`difference-of-squares`
4×	`associate-/r*` `flip3--` `add-cbrt-cube` `add-exp-log` `frac-sub` `flip--`
3×	`associate-/l*`
2×	`pow1` `sum-log` `sub-neg` `flip3-+` `associate--l+` `associate-/r/` `flip-+` `insert-posit16` `distribute-lft-out`
1×	`associate--l-` `cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `div-inv` `associate--r+`

Counts

2 → 63

Calls

2 calls:

53.0ms	(/ 1.0 (- (* x x) (* 1.0 1.0)))
126.0ms	(- (- x 1.0) (+ x 1.0))

series110.0ms

Counts

2 → 6

Calls

2 calls:

92.0ms	(/ 1.0 (- (* x x) (* 1.0 1.0)))
17.0ms	(- (- x 1.0) (+ x 1.0))

simplify3.5s

Counts

69 → 69

Iterations

Iter	Nodes
done	5001
2	1718
1	411
0	153

prune572.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.9b

localize61.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (- 2.0))
0.9b	(/ 1.0 (- (* x x) (* 1.0 1.0)))

rewrite156.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt`
25×	`times-frac`
22×	`*-un-lft-identity` `add-cube-cbrt`
18×	`associate-l`
10×	`associate-r`
9×	`add-cbrt-cube` `add-exp-log`
7×	`difference-of-squares`
4×	`pow1` `associate-/r*` `associate-/r/`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `associate-/l*`
2×	`cbrt-undiv` `flip3--` `div-exp` `prod-exp` `cbrt-unprod` `insert-posit16` `div-inv` `flip--` `add-log-exp` `unswap-sqr`
1×	`clear-num` `neg-mul-1` `frac-2neg` `pow-prod-down` `associate-l/` `-commutative` `distribute-rgt-neg-out`

Counts

2 → 80

Calls

2 calls:

119.0ms	(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (- 2.0))
31.0ms	(/ 1.0 (- (* x x) (* 1.0 1.0)))

series181.0ms

Counts

2 → 6

Calls

2 calls:

81.0ms	(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (- 2.0))
99.0ms	(/ 1.0 (- (* x x) (* 1.0 1.0)))

simplify4.0s

Counts

86 → 86

Iterations

Iter	Nodes
done	5029
2	1826
1	474
0	160

prune957.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize107.0ms

Local error

Found 3 expressions with local error:

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

rewrite272.0ms

Algorithm

rewrite-expression-head

Rules

52×	`*-un-lft-identity`
48×	`add-exp-log`
39×	`times-frac`
38×	`add-sqr-sqrt`
30×	`add-cube-cbrt`
28×	`add-cbrt-cube`
20×	`prod-exp`
18×	`associate-l`
13×	`div-exp`
10×	`cbrt-unprod`
9×	`pow1` `associate-/r*`
7×	`cbrt-undiv` `distribute-lft-out`
6×	`associate-/r/` `associate-/l*`
4×	`rec-exp` `1-exp` `distribute-lft-out--` `difference-of-squares`
3×	`pow-prod-down` `associate-*l/` `insert-posit16` `div-inv` `add-log-exp`
2×	`clear-num` `frac-2neg` `flip3-+` `distribute-rgt-neg-out` `flip-+`
1×	`frac-times` `flip3--` `associate-r` `associate-r/` `-commutative` `pow-flip` `flip--` `inv-pow`

Counts

3 → 128

Calls

3 calls:

29.0ms	(/ 1 (+ x 1.0))
40.0ms	(/ 1.0 (- x 1.0))
193.0ms	(* (/ 1 (+ x 1.0)) (* (/ 1.0 (- x 1.0)) (- 2.0)))

series175.0ms

Counts

3 → 9

Calls

3 calls:

27.0ms	(/ 1 (+ x 1.0))
55.0ms	(/ 1.0 (- x 1.0))
92.0ms	(* (/ 1 (+ x 1.0)) (* (/ 1.0 (- x 1.0)) (- 2.0)))

simplify4.6s

Counts

137 → 137

Iterations

Iter	Nodes
done	5002
2	2088
1	574
0	215

prune1.1s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes102.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify42.0ms

Iterations

Iter	Nodes
done	35
4	35
3	32
2	26
1	18
0	11

end0.0ms

sample1.5s

Algorithm

intervals

Results

623.0ms	1985×	body	640	valid
318.0ms	4155×	body	80	valid
282.0ms	1256×	body	320	valid
123.0ms	604×	body	160	valid