Details

sample42.0ms

Algorithm

intervals

Results

12.0ms	56×	body	640	valid
8.0ms	143×	body	80	valid
6.0ms	37×	body	320	valid
2.0ms	20×	body	160	valid

simplify13.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.7b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 1.0 (- x 1.0))
2.9b	(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

rewrite257.0ms

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:

11.0ms	(/ 1.0 (- x 1.0))
185.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

series297.0ms

Counts

2 → 6

Calls

2 calls:

44.0ms	(/ 1.0 (- x 1.0))
252.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

simplify2.6s

Counts

475 → 475

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	509	23936
1	1146	21408
2	2517	15906
done	5000	12092

prune511.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize16.0ms

Local error

Found 2 expressions with local error:

0.1b	(/ 1.0 (- (* x x) (* 1.0 1.0)))
2.7b	(- (- x 1.0) (+ x 1.0))

rewrite85.0ms

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:

14.0ms	(/ 1.0 (- (* x x) (* 1.0 1.0)))
66.0ms	(- (- x 1.0) (+ x 1.0))

series61.0ms

Counts

2 → 6

Calls

2 calls:

53.0ms	(/ 1.0 (- (* x x) (* 1.0 1.0)))
8.0ms	(- (- x 1.0) (+ x 1.0))

simplify1.8s

Counts

105 → 105

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	196	1915
1	492	1565
2	1869	1321
done	5000	1113

prune311.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 1 expressions with local error:

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

rewrite27.0ms

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:

25.0ms

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

series65.0ms

Counts

1 → 3

Calls

1 calls:

65.0ms

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

simplify2.0s

Counts

38 → 38

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	90	585
1	201	562
2	553	516
3	1878	508
done	5002	507

prune145.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 1 expressions with local error:

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

rewrite43.0ms

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:

29.0ms

(/ (/ 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))

simplify1.5s

Counts

135 → 135

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	231	2622
1	591	2437
2	1669	2377
done	5000	2374

prune384.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes31.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify12.0ms

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	11	14
1	16	12
2	20	12
3	23	12
4	25	12
done	25	12

end0.0ms

sample905.0ms

Algorithm

intervals

Results

341.0ms	1918×	body	640	valid
182.0ms	4265×	body	80	valid
172.0ms	1210×	body	320	valid
39.0ms	607×	body	160	valid