Details

sample39.0ms

Algorithm

intervals

Results

11.0ms	65×	body	640	valid
7.0ms	132×	body	80	valid
5.0ms	39×	body	320	valid
2.0ms	20×	body	160	valid

simplify6.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	15
2	15
1	12
0	7

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.9b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 1.0 (- x 1.0))
2.8b	(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

rewrite139.0ms

Algorithm

rewrite-expression-head

Rules

644×	`*-un-lft-identity`
577×	`times-frac`
486×	`add-sqr-sqrt`
378×	`prod-diff`
358×	`add-cube-cbrt`
84×	`associate-/r/`
79×	`distribute-lft-out--`
72×	`distribute-lft-out`
62×	`difference-of-squares`
43×	`div-inv`
23×	`flip-+`
22×	`flip3-+`
21×	`flip--`
20×	`flip3--`
18×	`fma-neg`
5×	`associate-/r*`
4×	`add-cbrt-cube` `add-exp-log` `add-log-exp`
3×	`associate-/l*`
2×	`expm1-log1p-u` `pow1` `log1p-expm1-u`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `diff-log` `div-exp` `frac-sub`

Counts

2 → 469

Calls

2 calls:

9.0ms	(/ 1.0 (- x 1.0))
94.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

series305.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(/ 1.0 (- x 1.0))
268.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

simplify2.4s

Counts

475 → 475

Iterations

Iter	Nodes
done	5012
2	3012
1	1201
0	509

prune1.5s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize21.0ms

Local error

Found 2 expressions with local error:

0.3b	(/ 1.0 (- (* x x) (* 1.0 1.0)))
2.2b	(- (- x 1.0) (+ x 1.0))

rewrite76.0ms

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:

11.0ms	(/ 1.0 (- (* x x) (* 1.0 1.0)))
61.0ms	(- (- x 1.0) (+ x 1.0))

series63.0ms

Counts

2 → 6

Calls

2 calls:

55.0ms	(/ 1.0 (- (* x x) (* 1.0 1.0)))
8.0ms	(- (- x 1.0) (+ x 1.0))

simplify1.7s

Counts

105 → 105

Iterations

Iter	Nodes
done	5001
2	1944
1	537
0	196

prune352.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (- 2.0))
0.3b	(/ 1.0 (- (* x x) (* 1.0 1.0)))

rewrite47.0ms

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×	`expm1-log1p-u` `cbrt-undiv` `flip3--` `div-exp` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `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 → 82

Calls

2 calls:

35.0ms	(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (- 2.0))
10.0ms	(/ 1.0 (- (* x x) (* 1.0 1.0)))

series124.0ms

Counts

2 → 6

Calls

2 calls:

74.0ms	(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (- 2.0))
50.0ms	(/ 1.0 (- (* x x) (* 1.0 1.0)))

simplify1.7s

Counts

88 → 88

Iterations

Iter	Nodes
done	5001
2	1894
1	490
0	162

prune425.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 1 expressions with local error:

0.1b	(/ (/ (- 2.0) (+ x 1.0)) (- x 1.0))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

470×	`times-frac`
400×	`*-un-lft-identity`
280×	`add-sqr-sqrt`
186×	`add-cube-cbrt`
72×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
60×	`distribute-lft-out`
47×	`distribute-lft-out--` `difference-of-squares`
46×	`associate-/l*`
24×	`neg-mul-1`
14×	`associate-/r/`
7×	`div-inv`
6×	`flip3-+` `add-cbrt-cube` `add-exp-log` `flip-+`
5×	`associate-/r*`
3×	`cbrt-undiv` `div-exp`
2×	`div-sub` `distribute-frac-neg`
1×	`neg-sub0` `expm1-log1p-u` `pow1` `clear-num` `frac-2neg` `flip3--` `log1p-expm1-u` `flip--` `add-log-exp` `associate-/l/`

Counts

1 → 302

Calls

1 calls:

43.0ms

(/ (/ (- 2.0) (+ x 1.0)) (- x 1.0))

series81.0ms

Counts

1 → 3

Calls

1 calls:

81.0ms

(/ (/ (- 2.0) (+ x 1.0)) (- x 1.0))

simplify2.3s

Counts

305 → 305

Iterations

Iter	Nodes
done	5000
2	2835
1	1068
0	422

prune1.0s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes71.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations

Iter	Nodes
done	22
4	22
3	19
2	15
1	13
0	9

end0.0ms

sample879.0ms

Algorithm

intervals

Results

308.0ms	1897×	body	640	valid
220.0ms	4271×	body	80	valid
113.0ms	1223×	body	320	valid
71.0ms	609×	body	160	valid