Details

sample15.0ms

Algorithm

intervals

Results

4.0ms	64×	body	640	valid
3.0ms	138×	body	80	valid
2.0ms	37×	body	320	valid
1.0ms	17×	body	160	valid

simplify4.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	9
1	9	9
2	12	9
done	12	9

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.8b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

362×	`*-un-lft-identity`
358×	`times-frac`
265×	`add-sqr-sqrt`
253×	`add-cube-cbrt`
234×	`prod-diff`
49×	`distribute-lft-out`
35×	`div-inv`
30×	`associate-/r/`
18×	`fma-neg`
15×	`flip3-+` `flip-+`
8×	`distribute-lft-out--`
4×	`add-exp-log` `associate-/r*` `add-cbrt-cube` `add-log-exp` `difference-of-squares`
3×	`associate-/l*`
2×	`pow1` `expm1-log1p-u` `log1p-expm1-u`
1×	`cbrt-undiv` `sub-neg` `flip3--` `frac-2neg` `diff-log` `div-exp` `clear-num` `frac-sub` `flip--`

Counts

2 → 314

Calls

2 calls:

6.0ms	(/ 1.0 (+ x 1.0))
49.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

series87.0ms

Counts

2 → 6

Calls

2 calls:

26.0ms	(/ 1.0 (+ x 1.0))
61.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

simplify909.0ms

Counts

320 → 320

Iterations

Useful iterations: done (895.0ms)

Iter	Nodes	Cost
0	387	12162
1	814	10606
2	2082	7734
done	5000	7438

prune343.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.4b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (+ x 1.0) x)
0.0b	(/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))
1.7b	(- x (+ x 1.0))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

26×	`*-un-lft-identity`
17×	`add-exp-log` `add-sqr-sqrt` `add-cbrt-cube`
13×	`add-cube-cbrt`
12×	`prod-diff`
8×	`add-log-exp`
5×	`pow1` `prod-exp` `cbrt-unprod` `distribute-lft-out`
4×	`cbrt-undiv` `div-exp` `associate-l` `associate-*l/`
3×	`expm1-log1p-u` `fma-neg` `associate-r` `log1p-expm1-u`
2×	`flip3--` `flip3-+` `diff-log` `associate-*r/` `associate-/r/` `flip--` `flip-+` `associate-/l/` `distribute-lft-out--`
1×	`sub-neg` `frac-2neg` `times-frac` `pow-prod-down` `clear-num` `associate-/r` `sum-log` `-commutative` `div-inv` `associate-/l*` `associate--r+` `difference-of-squares` `unswap-sqr`

Counts

3 → 84

Calls

3 calls:

10.0ms	(* (+ x 1.0) x)
26.0ms	(/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))
12.0ms	(- x (+ x 1.0))

series88.0ms

Counts

3 → 9

Calls

3 calls:

42.0ms	(* (+ x 1.0) x)
39.0ms	(/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))
7.0ms	(- x (+ x 1.0))

simplify759.0ms

Counts

93 → 93

Iterations

Useful iterations: 2 (296.0ms)

Iter	Nodes	Cost
0	145	1352
1	398	1032
2	1900	756
done	5001	756

prune144.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

21×	`*-un-lft-identity`
15×	`times-frac`
13×	`add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `add-cbrt-cube`
7×	`associate-/r*`
5×	`cbrt-undiv` `div-exp`
4×	`distribute-lft-out` `associate-/l*`
2×	`pow1` `expm1-log1p-u` `frac-2neg` `prod-exp` `clear-num` `associate-/r/` `cbrt-unprod` `log1p-expm1-u` `div-inv` `add-log-exp`
1×	`flip3-+` `distribute-frac-neg` `associate-*l/` `distribute-rgt-neg-out` `flip-+` `associate-/l/`

Counts

2 → 62

Calls

2 calls:

6.0ms	(/ 1.0 (+ x 1.0))
8.0ms	(/ (* (/ 1.0 (+ x 1.0)) (- 1.0)) x)

series65.0ms

Counts

2 → 6

Calls

2 calls:

29.0ms	(/ 1.0 (+ x 1.0))
37.0ms	(/ (* (/ 1.0 (+ x 1.0)) (- 1.0)) x)

simplify616.0ms

Counts

68 → 68

Iterations

Useful iterations: 2 (189.0ms)

Iter	Nodes	Cost
0	130	827
1	330	769
2	1214	670
done	5001	670

prune122.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ (* (* (/ 1.0 (- (* x x) (* 1.0 1.0))) (- x 1.0)) (- 1.0)) x)
0.4b	(/ 1.0 (- (* x x) (* 1.0 1.0)))
14.4b	(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (- x 1.0))

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

42×	`add-sqr-sqrt`
37×	`*-un-lft-identity`
35×	`add-cube-cbrt`
28×	`times-frac`
24×	`add-exp-log` `add-cbrt-cube`
18×	`associate-l` `prod-diff`
11×	`distribute-rgt-in` `distribute-lft-in`
8×	`difference-of-squares`
7×	`cbrt-undiv` `div-exp` `associate-l/` `prod-exp` `associate-/r` `cbrt-unprod`
6×	`flip3--` `flip--`
5×	`pow1` `associate-r` `associate-/l/`
4×	`frac-times` `associate-r/` `associate-/r/` `associate-/l`
3×	`expm1-log1p-u` `log1p-expm1-u` `div-inv` `add-log-exp`
2×	`sub-neg` `frac-2neg` `clear-num` `unswap-sqr`
1×	`distribute-frac-neg` `pow-prod-down` `*-commutative` `distribute-rgt-neg-out` `distribute-lft-out--`

Counts

3 → 135

Calls

3 calls:

33.0ms	(/ (* (* (/ 1.0 (- (* x x) (* 1.0 1.0))) (- x 1.0)) (- 1.0)) x)
5.0ms	(/ 1.0 (- (* x x) (* 1.0 1.0)))
26.0ms	(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (- x 1.0))

series170.0ms

Counts

3 → 9

Calls

3 calls:

66.0ms	(/ (* (* (/ 1.0 (- (* x x) (* 1.0 1.0))) (- x 1.0)) (- 1.0)) x)
52.0ms	(/ 1.0 (- (* x x) (* 1.0 1.0)))
52.0ms	(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (- x 1.0))

simplify1.7s

Counts

144 → 144

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	266	3113
1	728	2824
2	3134	2459
done	5001	2441

prune285.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

regimes23.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	11	10
2	16	10
3	18	10
done	18	10

end0.0ms

sample398.0ms

Algorithm

intervals

Results

127.0ms	1833×	body	640	valid
88.0ms	4212×	body	80	valid
67.0ms	1290×	body	320	valid
27.0ms	665×	body	160	valid