Details

sample62.0ms

Algorithm

intervals

Results

20.0ms	52×	body	640	valid
13.0ms	133×	body	80	valid
12.0ms	42×	body	320	valid
6.0ms	29×	body	160	valid

simplify13.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	18
2	18
1	15
0	7

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.2b

localize23.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 1 (+ x 1))
4.4b	(- (/ 1 (+ x 1)) (/ 1 (- x 1)))

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 78

Calls

2 calls:

8.0ms	(/ 1 (+ x 1))
72.0ms	(- (/ 1 (+ x 1)) (/ 1 (- x 1)))

series105.0ms

Counts

2 → 6

Calls

2 calls:

22.0ms	(/ 1 (+ x 1))
83.0ms	(- (/ 1 (+ x 1)) (/ 1 (- x 1)))

simplify957.0ms

Counts

84 → 84

Iterations

Iter	Nodes
done	2001
3	2001
2	912
1	303
0	136

prune612.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.5b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x x) (* 1 1))
0.4b	(/ 1 (- (* x x) (* 1 1)))
3.4b	(- (- x 1) (+ x 1))

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 81

Calls

3 calls:

7.0ms	(- (* x x) (* 1 1))
13.0ms	(/ 1 (- (* x x) (* 1 1)))
60.0ms	(- (- x 1) (+ x 1))

series138.0ms

Counts

3 → 9

Calls

3 calls:

72.0ms	(- (* x x) (* 1 1))
59.0ms	(/ 1 (- (* x x) (* 1 1)))
7.0ms	(- (- x 1) (+ x 1))

simplify1.3s

Counts

90 → 90

Iterations

Iter	Nodes
done	2002
3	2002
2	1535
1	422
0	155

prune654.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.4b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x x) (* 1 1))
0.0b	(* (/ 1 (- (* x x) (* 1 1))) -2)
0.4b	(/ 1 (- (* x x) (* 1 1)))

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
26×	`times-frac`
22×	`*-un-lft-identity`
21×	`add-cube-cbrt`
18×	`associate-l`
16×	`add-exp-log`
10×	`add-cbrt-cube`
8×	`difference-of-squares`
6×	`pow1`
5×	`add-log-exp`
4×	`associate-/r*` `div-exp` `prod-exp` `associate-/r/`
3×	`flip3--` `associate-r` `insert-posit16` `flip--` `associate-/l*` `unswap-sqr`
2×	`cbrt-undiv` `rec-exp` `1-exp` `cbrt-unprod` `div-inv`
1×	`clear-num` `sub-neg` `frac-2neg` `diff-log` `pow-prod-down` `associate-l/` `-commutative` `pow-flip` `inv-pow`

Counts

3 → 93

Calls

3 calls:

15.0ms	(- (* x x) (* 1 1))
36.0ms	(* (/ 1 (- (* x x) (* 1 1))) -2)
22.0ms	(/ 1 (- (* x x) (* 1 1)))

series164.0ms

Counts

3 → 9

Calls

3 calls:

70.0ms	(- (* x x) (* 1 1))
54.0ms	(* (/ 1 (- (* x x) (* 1 1))) -2)
41.0ms	(/ 1 (- (* x x) (* 1 1)))

simplify1.1s

Counts

102 → 102

Iterations

Iter	Nodes
done	2000
3	2000
2	846
1	362
0	146

prune802.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize25.0ms

Local error

Found 3 expressions with local error:

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

rewrite99.0ms

Algorithm

rewrite-expression-head

Rules

449×	`times-frac`
381×	`*-un-lft-identity`
331×	`add-sqr-sqrt`
171×	`add-cube-cbrt`
132×	`associate-l`
74×	`difference-of-squares`
49×	`distribute-lft-out`
37×	`difference-of-sqr-1` `distribute-lft-out--`
36×	`associate-/r/`
31×	`add-exp-log`
21×	`associate-/l*`
19×	`add-cbrt-cube`
18×	`div-inv`
16×	`flip3-+` `flip-+`
14×	`div-exp`
11×	`associate-/r*`
7×	`cbrt-undiv`
6×	`pow1`
5×	`prod-exp`
4×	`unswap-sqr`
3×	`rec-exp` `1-exp` `associate-r` `cbrt-unprod` `insert-posit16` `add-log-exp`
2×	`clear-num` `frac-2neg` `flip3--` `flip--`
1×	`pow-prod-down` `associate-l/` `-commutative` `pow-flip` `inv-pow` `associate-/l/`

Counts

3 → 367

Calls

3 calls:

58.0ms	(* (/ (/ 1 (+ x 1)) (- x 1)) -2)
13.0ms	(/ 1 (+ x 1))
18.0ms	(/ (/ 1 (+ x 1)) (- x 1))

series158.0ms

Counts

3 → 9

Calls

3 calls:

85.0ms	(* (/ (/ 1 (+ x 1)) (- x 1)) -2)
22.0ms	(/ 1 (+ x 1))
51.0ms	(/ (/ 1 (+ x 1)) (- x 1))

simplify1.2s

Counts

376 → 376

Iterations

Iter	Nodes
done	2005
2	2005
1	1012
0	373

prune3.0s

Pruning

4 alts after pruning (3 fresh and 1 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	10
1	10
0	7

end0.0ms

sample2.0s

Algorithm

intervals

Results

683.0ms	1935×	body	640	valid
648.0ms	1243×	body	320	valid
388.0ms	4210×	body	80	valid
156.0ms	612×	body	160	valid