Details

sample22.0ms

Algorithm

intervals

Results

5.0ms	50×	body	640	valid
4.0ms	136×	body	80	valid
4.0ms	47×	body	320	valid
1.0ms	23×	body	160	valid

simplify9.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	15
2	15
1	12
0	7

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.3b

localize39.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1.0 (+ x 1.0))
0.0b	(/ 1.0 (- x 1.0))
3.7b	(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

rewrite164.0ms

Algorithm

rewrite-expression-head

Rules

662×	`*-un-lft-identity`
589×	`times-frac`
496×	`add-sqr-sqrt`
378×	`prod-diff`
368×	`add-cube-cbrt`
86×	`associate-/r/`
79×	`distribute-lft-out--`
76×	`distribute-lft-out`
62×	`difference-of-squares`
44×	`div-inv`
24×	`flip-+`
23×	`flip3-+`
21×	`flip--`
20×	`flip3--`
18×	`fma-neg`
9×	`associate-/r*`
7×	`add-cbrt-cube` `add-exp-log`
6×	`associate-/l*`
5×	`add-log-exp`
3×	`expm1-log1p-u` `pow1` `log1p-expm1-u`
2×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp`
1×	`sub-neg` `diff-log` `frac-sub`

Counts

3 → 504

Calls

3 calls:

9.0ms	(/ 1.0 (+ x 1.0))
10.0ms	(/ 1.0 (- x 1.0))
108.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

series324.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(/ 1.0 (+ x 1.0))
51.0ms	(/ 1.0 (- x 1.0))
236.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

simplify2.7s

Counts

513 → 513

Iterations

Iter	Nodes
done	5005
2	3208
1	1252
0	525

prune1.9s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.2b

localize15.0ms

Local error

Found 2 expressions with local error:

0.2b	(/ 1.0 (- (* x x) (* 1.0 1.0)))
3.1b	(- (- x 1.0) (+ x 1.0))

rewrite97.0ms

Algorithm

rewrite-expression-head

Rules

59×	`*-un-lft-identity`
39×	`add-sqr-sqrt`
29×	`prod-diff`
27×	`add-cube-cbrt`
14×	`add-log-exp`
12×	`times-frac`
11×	`associate--l+` `distribute-lft-out--`
10×	`difference-of-squares`
7×	`distribute-lft-out`
6×	`diff-log`
5×	`fma-neg`
4×	`associate-/r*` `flip3--` `add-cbrt-cube` `add-exp-log` `frac-sub` `flip--`
3×	`associate-/l*`
2×	`expm1-log1p-u` `pow1` `sum-log` `sub-neg` `flip3-+` `associate-/r/` `flip-+` `log1p-expm1-u`
1×	`associate--l-` `cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `div-inv` `associate--r+`

Counts

2 → 99

Calls

2 calls:

20.0ms	(/ 1.0 (- (* x x) (* 1.0 1.0)))
69.0ms	(- (- x 1.0) (+ x 1.0))

series75.0ms

Counts

2 → 6

Calls

2 calls:

62.0ms	(/ 1.0 (- (* x x) (* 1.0 1.0)))
13.0ms	(- (- x 1.0) (+ x 1.0))

simplify1.7s

Counts

105 → 105

Iterations

Iter	Nodes
done	5001
2	1944
1	537
0	196

prune454.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize28.0ms

Local error

Found 1 expressions with local error:

0.2b	(/ 1.0 (- (* x x) (* 1.0 1.0)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

12×	`times-frac`
10×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`associate-/r*` `difference-of-squares`
3×	`add-cbrt-cube` `add-exp-log` `associate-/l*`
2×	`associate-/r/`
1×	`expm1-log1p-u` `pow1` `cbrt-undiv` `clear-num` `frac-2neg` `flip3--` `div-exp` `log1p-expm1-u` `div-inv` `flip--` `add-log-exp`

Counts

1 → 35

Calls

1 calls:

21.0ms

(/ 1.0 (- (* x x) (* 1.0 1.0)))

series68.0ms

Counts

1 → 3

Calls

1 calls:

68.0ms

(/ 1.0 (- (* x x) (* 1.0 1.0)))

simplify2.8s

Counts

38 → 38

Iterations

Iter	Nodes
done	5000
3	3240
2	716
1	216
0	90

prune234.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 1.0 (+ x 1.0))
0.1b	(/ (/ 1.0 (+ x 1.0)) (- x 1.0))

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

174×	`times-frac`
160×	`*-un-lft-identity`
116×	`add-sqr-sqrt`
78×	`add-cube-cbrt`
22×	`distribute-lft-out`
21×	`associate-/l*`
19×	`distribute-lft-out--` `difference-of-squares`
16×	`associate-/r/`
9×	`associate-/r*` `add-cbrt-cube` `add-exp-log`
8×	`div-inv`
7×	`flip3-+` `flip-+`
4×	`cbrt-undiv` `div-exp`
2×	`expm1-log1p-u` `pow1` `clear-num` `frac-2neg` `log1p-expm1-u` `add-log-exp`
1×	`flip3--` `flip--` `associate-/l/`

Counts

2 → 167

Calls

2 calls:

18.0ms	(/ 1.0 (+ x 1.0))
46.0ms	(/ (/ 1.0 (+ x 1.0)) (- x 1.0))

series130.0ms

Counts

2 → 6

Calls

2 calls:

43.0ms	(/ 1.0 (+ x 1.0))
86.0ms	(/ (/ 1.0 (+ x 1.0)) (- x 1.0))

simplify2.2s

Counts

173 → 173

Iterations

Iter	Nodes
done	5001
2	2047
1	646
0	249

prune808.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes44.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify10.0ms

Iterations

Iter	Nodes
done	22
4	22
3	20
2	17
1	13
0	9

end0.0ms

sample1.1s

Algorithm

intervals

Results

389.0ms	1873×	body	640	valid
322.0ms	1309×	body	320	valid
186.0ms	4177×	body	80	valid
52.0ms	641×	body	160	valid