Details

sample35.0ms

Algorithm

intervals

Results

10.0ms	65×	body	640	valid
6.0ms	135×	body	80	valid
5.0ms	39×	body	320	valid
1.0ms	17×	body	160	valid

simplify14.0ms

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: 13.7b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1.0 (+ x 1.0))
0.0b	(/ 1.0 (- x 1.0))
2.7b	(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

rewrite222.0ms

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:

17.0ms	(/ 1.0 (+ x 1.0))
18.0ms	(/ 1.0 (- x 1.0))
130.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

series312.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms	(/ 1.0 (+ x 1.0))
31.0ms	(/ 1.0 (- x 1.0))
249.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

simplify2.1s

Counts

513 → 513

Iterations

Iter	Nodes
done	5000
2	4303
1	1253
0	525

prune1.8s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize23.0ms

Local error

Found 2 expressions with local error:

0.1b	(/ 1.0 (- (* x x) (* 1.0 1.0)))
2.4b	(- (- x 1.0) (+ x 1.0))

rewrite86.0ms

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:

10.0ms	(/ 1.0 (- (* x x) (* 1.0 1.0)))
73.0ms	(- (- x 1.0) (+ x 1.0))

series83.0ms

Counts

2 → 6

Calls

2 calls:

75.0ms	(/ 1.0 (- (* x x) (* 1.0 1.0)))
8.0ms	(- (- x 1.0) (+ x 1.0))

simplify2.0s

Counts

105 → 105

Iterations

Iter	Nodes
done	5001
2	3298
1	551
0	196

prune433.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 1 expressions with local error:

0.1b	(/ 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:

22.0ms

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

series52.0ms

Counts

1 → 3

Calls

1 calls:

52.0ms

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

simplify800.0ms

Counts

38 → 38

Iterations

Iter	Nodes
done	5001
2	1095
1	224
0	90

prune173.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite55.0ms

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:

12.0ms	(/ 1.0 (+ 1.0 x))
28.0ms	(/ (/ 1.0 (+ 1.0 x)) (- x 1.0))

series107.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(/ 1.0 (+ 1.0 x))
78.0ms	(/ (/ 1.0 (+ 1.0 x)) (- x 1.0))

simplify1.7s

Counts

173 → 173

Iterations

Iter	Nodes
done	5002
2	3157
1	683
0	251

prune617.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes54.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify9.0ms

Iterations

Iter	Nodes
done	19
3	19
2	16
1	12
0	9

end0.0ms

sample1.2s

Algorithm

intervals

Results

479.0ms	1887×	body	640	valid
252.0ms	4270×	body	80	valid
169.0ms	1242×	body	320	valid
53.0ms	601×	body	160	valid