Details

sample27.0ms

Algorithm

intervals

Results

8.0ms	62×	body	640	valid
5.0ms	129×	body	80	valid
4.0ms	46×	body	320	valid
2.0ms	19×	body	160	valid

simplify4.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	12
2	12
1	9
0	6

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.1b

localize8.0ms

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))

rewrite143.0ms

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:

10.0ms	(/ 1.0 (+ x 1.0))
102.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

series113.0ms

Counts

2 → 6

Calls

2 calls:

29.0ms	(/ 1.0 (+ x 1.0))
83.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

simplify1.6s

Counts

320 → 320

Iterations

Iter	Nodes
done	5000
2	3264
1	919
0	387

prune1.0s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize14.0ms

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))
2.4b	(fma 1.0 (- (+ x 1.0)) (* x 1.0))

rewrite53.0ms

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:

34.0ms	(* (+ x 1.0) x)
17.0ms	(/ (fma 1.0 (- (+ x 1.0)) (* x 1.0)) (* (+ x 1.0) x))
1.0ms	(fma 1.0 (- (+ x 1.0)) (* x 1.0))

series328.0ms

Counts

3 → 9

Calls

3 calls:

74.0ms	(* (+ x 1.0) x)
158.0ms	(/ (fma 1.0 (- (+ x 1.0)) (* x 1.0)) (* (+ x 1.0) x))
96.0ms	(fma 1.0 (- (+ x 1.0)) (* x 1.0))

simplify1.1s

Counts

67 → 67

Iterations

Iter	Nodes
done	5000
2	1455
1	246
0	102

prune250.0ms

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

rewrite43.0ms

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))

series108.0ms

Counts

2 → 6

Calls

2 calls:

63.0ms	(* (+ x 1.0) x)
45.0ms	(/ (- 1.0) (* (+ x 1.0) x))

simplify1.1s

Counts

70 → 70

Iterations

Iter	Nodes
done	5000
2	1758
1	306
0	122

prune247.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 2 expressions with local error:

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

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

228×	`times-frac`
176×	`*-un-lft-identity`
120×	`add-sqr-sqrt` `add-cube-cbrt`
72×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
43×	`associate-/l*`
28×	`distribute-lft-out`
18×	`associate-/r/`
10×	`div-inv`
9×	`flip3-+` `flip-+`
7×	`associate-/r*`
6×	`add-cbrt-cube` `add-exp-log`
4×	`neg-mul-1`
2×	`expm1-log1p-u` `pow1` `cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `log1p-expm1-u` `add-log-exp`
1×	`neg-sub0` `div-sub` `distribute-frac-neg` `distribute-neg-frac` `associate-/l/`

Counts

2 → 215

Calls

2 calls:

21.0ms	(/ 1.0 (+ 1.0 x))
40.0ms	(/ (- (/ 1.0 (+ 1.0 x))) x)

series91.0ms

Counts

2 → 6

Calls

2 calls:

46.0ms	(/ 1.0 (+ 1.0 x))
44.0ms	(/ (- (/ 1.0 (+ 1.0 x))) x)

simplify2.0s

Counts

221 → 221

Iterations

Iter	Nodes
done	5001
2	4114
1	893
0	353

prune951.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes36.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	11
1	11
0	6

end0.0ms

sample1.3s

Algorithm

intervals

Results

624.0ms	4209×	body	80	valid
315.0ms	1929×	body	640	valid
131.0ms	1266×	body	320	valid
43.0ms	598×	body	160	valid