Details

sample18.0ms

Algorithm

intervals

Results

5.0ms	57×	body	640	valid
4.0ms	58×	body	320	valid
3.0ms	128×	body	80	valid
1.0ms	13×	body	160	valid

simplify5.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	11
1	12	11
2	15	11
done	15	11

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.3b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 1.0 (- x 1.0))
3.4b	(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

rewrite125.0ms

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-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`associate-/l*`
2×	`pow1` `expm1-log1p-u` `log1p-expm1-u`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `diff-log` `div-exp` `clear-num` `frac-sub`

Counts

2 → 469

Calls

2 calls:

5.0ms	(/ 1.0 (- x 1.0))
70.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

series207.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(/ 1.0 (- x 1.0))
179.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

simplify1.2s

Counts

475 → 475

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	509	23936
1	1104	21408
2	2733	15904
done	5000	15430

prune544.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.2b

localize9.0ms

Local error

Found 2 expressions with local error:

0.2b	(/ 1.0 (- (* x x) (* 1.0 1.0)))
2.7b	(- (- x 1.0) (+ x 1.0))

rewrite40.0ms

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×	`add-exp-log` `flip3--` `associate-/r*` `frac-sub` `add-cbrt-cube` `flip--`
3×	`associate-/l*`
2×	`pow1` `expm1-log1p-u` `sub-neg` `flip3-+` `sum-log` `associate-/r/` `flip-+` `log1p-expm1-u`
1×	`cbrt-undiv` `associate--l-` `frac-2neg` `div-exp` `clear-num` `div-inv` `associate--r+`

Counts

2 → 99

Calls

2 calls:

6.0ms	(/ 1.0 (- (* x x) (* 1.0 1.0)))
30.0ms	(- (- x 1.0) (+ x 1.0))

series59.0ms

Counts

2 → 6

Calls

2 calls:

51.0ms	(/ 1.0 (- (* x x) (* 1.0 1.0)))
7.0ms	(- (- x 1.0) (+ x 1.0))

simplify885.0ms

Counts

105 → 105

Iterations

Useful iterations: done (881.0ms)

Iter	Nodes	Cost
0	196	1915
1	490	1565
2	1861	1323
done	5001	1314

prune197.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 35

Calls

1 calls:

5.0ms

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

series50.0ms

Counts

1 → 3

Calls

1 calls:

50.0ms

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

simplify1.5s

Counts

38 → 38

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	90	585
1	201	562
2	595	516
3	2344	510
done	5001	509

prune84.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

162×	`times-frac`
142×	`*-un-lft-identity`
106×	`add-sqr-sqrt`
68×	`add-cube-cbrt`
19×	`distribute-lft-out--` `difference-of-squares`
18×	`distribute-lft-out` `associate-/l*`
14×	`associate-/r/`
7×	`div-inv`
6×	`add-exp-log` `flip3-+` `add-cbrt-cube` `flip-+`
5×	`associate-/r*`
3×	`cbrt-undiv` `div-exp`
1×	`pow1` `expm1-log1p-u` `flip3--` `frac-2neg` `clear-num` `flip--` `log1p-expm1-u` `associate-/l/` `add-log-exp`

Counts

1 → 132

Calls

1 calls:

16.0ms

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

series66.0ms

Counts

1 → 3

Calls

1 calls:

66.0ms

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

simplify950.0ms

Counts

135 → 135

Iterations

Useful iterations: 2 (358.0ms)

Iter	Nodes	Cost
0	231	2622
1	594	2437
2	1810	2377
done	5000	2377

prune237.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes18.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	12
1	13	12
2	16	12
3	19	12
4	21	12
done	21	12

end0.0ms

sample451.0ms

Algorithm

intervals

Results

157.0ms	1901×	body	640	valid
96.0ms	4190×	body	80	valid
77.0ms	1282×	body	320	valid
29.0ms	627×	body	160	valid