Details

sample26.0ms

Algorithm

intervals

Results

10.0ms	58×	body	640	valid
3.0ms	136×	body	80	valid
3.0ms	46×	body	320	valid
1.0ms	16×	body	160	valid

simplify7.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	12
2	12
1	9
0	6

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.1b

localize16.0ms

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))

rewrite128.0ms

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

Counts

2 → 314

Calls

2 calls:

9.0ms	(/ 1.0 (+ x 1.0))
95.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

series126.0ms

Counts

2 → 6

Calls

2 calls:

39.0ms	(/ 1.0 (+ x 1.0))
88.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

simplify2.4s

Counts

320 → 320

Iterations

Iter	Nodes
done	5000
2	3264
1	919
0	387

prune1.2s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.3b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (+ x 1.0) x)
0.0b	(/ (- (* 1.0 x) (* (+ x 1.0) 1.0)) (* (+ x 1.0) x))
2.2b	(- (* 1.0 x) (* (+ x 1.0) 1.0))

rewrite86.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 67

Calls

3 calls:

32.0ms	(* (+ x 1.0) x)
39.0ms	(/ (- (* 1.0 x) (* (+ x 1.0) 1.0)) (* (+ x 1.0) x))
13.0ms	(- (* 1.0 x) (* (+ x 1.0) 1.0))

series133.0ms

Counts

3 → 9

Calls

3 calls:

57.0ms	(* (+ x 1.0) x)
62.0ms	(/ (- (* 1.0 x) (* (+ x 1.0) 1.0)) (* (+ x 1.0) x))
14.0ms	(- (* 1.0 x) (* (+ x 1.0) 1.0))

simplify2.0s

Counts

76 → 76

Iterations

Iter	Nodes
done	5002
2	2467
1	369
0	122

prune307.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `*-un-lft-identity`
10×	`times-frac` `add-cube-cbrt` `associate-/l*`
9×	`add-cbrt-cube` `add-exp-log`
6×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
4×	`pow1` `associate-l` `associate-*l/`
3×	`associate-r`
2×	`expm1-log1p-u` `cbrt-undiv` `neg-mul-1` `flip3-+` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `flip-+` `log1p-expm1-u` `add-log-exp`
1×	`neg-sub0` `clear-num` `associate-/r` `frac-2neg` `div-sub` `pow-prod-down` `distribute-frac-neg` `-commutative` `div-inv` `distribute-lft-out` `unswap-sqr`

Counts

2 → 64

Calls

2 calls:

28.0ms	(* (+ x 1.0) x)
11.0ms	(/ (- 1.0) (* (+ x 1.0) x))

series110.0ms

Counts

2 → 6

Calls

2 calls:

62.0ms	(* (+ x 1.0) x)
48.0ms	(/ (- 1.0) (* (+ x 1.0) x))

simplify1.4s

Counts

70 → 70

Iterations

Iter	Nodes
done	5000
2	1758
1	306
0	122

prune370.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 2 expressions with local error:

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

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

338×	`times-frac`
269×	`*-un-lft-identity`
167×	`add-sqr-sqrt` `add-cube-cbrt`
63×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
56×	`associate-/l*`
51×	`distribute-lft-out`
21×	`neg-mul-1`
10×	`associate-/r/`
9×	`add-cbrt-cube` `add-exp-log`
7×	`associate-/r*`
6×	`div-inv`
5×	`flip3-+` `flip-+`
4×	`cbrt-undiv` `div-exp`
3×	`div-sub` `distribute-frac-neg`
2×	`neg-sub0` `expm1-log1p-u` `pow1` `clear-num` `frac-2neg` `log1p-expm1-u` `add-log-exp`
1×	`associate-/l/`

Counts

2 → 278

Calls

2 calls:

18.0ms	(/ (- 1.0) (+ x 1.0))
49.0ms	(/ (/ (- 1.0) (+ x 1.0)) x)

series67.0ms

Counts

2 → 6

Calls

2 calls:

25.0ms	(/ (- 1.0) (+ x 1.0))
42.0ms	(/ (/ (- 1.0) (+ x 1.0)) x)

simplify2.2s

Counts

284 → 284

Iterations

Iter	Nodes
done	5000
2	4327
1	910
0	367

prune1.2s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes53.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	24
3	24
2	21
1	15
0	9

end0.0ms

sample977.0ms

Algorithm

intervals

Results

333.0ms	1965×	body	640	valid
274.0ms	4190×	body	80	valid
128.0ms	1231×	body	320	valid
44.0ms	616×	body	160	valid