Details

sample33.0ms

Algorithm

intervals

Results

9.0ms	136×	body	80	valid
7.0ms	58×	body	640	valid
4.0ms	46×	body	320	valid
1.0ms	16×	body	160	valid

simplify9.0ms

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

localize17.0ms

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))

rewrite190.0ms

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:

16.0ms	(/ 1.0 (+ x 1.0))
139.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

series130.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(/ 1.0 (+ x 1.0))
93.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

simplify1.8s

Counts

320 → 320

Iterations

Iter	Nodes
done	5000
2	3264
1	919
0	387

prune1.1s

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

rewrite29.0ms

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`
4×	`associate-l` `associate-*l/`
3×	`expm1-log1p-u` `times-frac` `associate-r` `log1p-expm1-u` `associate-/l*` `add-log-exp`
2×	`cbrt-undiv` `flip3-+` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `flip-+`
1×	`clear-num` `associate-/r` `frac-2neg` `pow-prod-down` `-commutative` `fma-udef` `div-inv` `distribute-lft-out` `unswap-sqr`

Counts

3 → 58

Calls

3 calls:

17.0ms	(* (+ x 1.0) x)
10.0ms	(/ (fma 1.0 (- (+ x 1.0)) (* x 1.0)) (* (+ x 1.0) x))
1.0ms	(fma 1.0 (- (+ x 1.0)) (* x 1.0))

series346.0ms

Counts

3 → 9

Calls

3 calls:

79.0ms	(* (+ x 1.0) x)
161.0ms	(/ (fma 1.0 (- (+ x 1.0)) (* x 1.0)) (* (+ x 1.0) x))
105.0ms	(fma 1.0 (- (+ x 1.0)) (* x 1.0))

simplify1.4s

Counts

67 → 67

Iterations

Iter	Nodes
done	5000
2	1455
1	246
0	102

prune386.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite36.0ms

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:

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

series148.0ms

Counts

2 → 6

Calls

2 calls:

82.0ms	(* (+ x 1.0) x)
65.0ms	(/ (- 1.0) (* (+ x 1.0) x))

simplify1.1s

Counts

70 → 70

Iterations

Iter	Nodes
done	5000
2	1758
1	306
0	122

prune281.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

114×	`times-frac`
94×	`*-un-lft-identity`
62×	`add-sqr-sqrt` `add-cube-cbrt`
21×	`associate-/l*`
16×	`distribute-lft-out`
10×	`associate-/r/`
9×	`add-cbrt-cube` `add-exp-log`
7×	`associate-/r*`
6×	`div-inv`
5×	`flip3-+` `flip-+`
4×	`cbrt-undiv` `div-exp`
2×	`expm1-log1p-u` `pow1` `clear-num` `frac-2neg` `log1p-expm1-u` `add-log-exp`
1×	`associate-/l/`

Counts

2 → 127

Calls

2 calls:

18.0ms	(/ 1.0 (+ 1.0 x))
22.0ms	(/ (/ 1.0 (+ 1.0 x)) x)

series82.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(/ 1.0 (+ 1.0 x))
43.0ms	(/ (/ 1.0 (+ 1.0 x)) x)

simplify1.6s

Counts

133 → 133

Iterations

Iter	Nodes
done	5002
2	2509
1	526
0	205

prune607.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes35.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	13
3	13
2	11
1	9
0	7

end0.0ms

sample977.0ms

Algorithm

intervals

Results

332.0ms	1965×	body	640	valid
247.0ms	4190×	body	80	valid
192.0ms	1231×	body	320	valid
46.0ms	616×	body	160	valid