Details

sample30.0ms

Algorithm

intervals

Results

9.0ms	65×	body	640	valid
5.0ms	132×	body	80	valid
4.0ms	39×	body	320	valid
1.0ms	20×	body	160	valid

simplify5.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	12
2	12
1	9
0	6

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.9b

localize8.0ms

Local error

Found 1 expressions with local error:

2.8b	(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

rewrite122.0ms

Algorithm

rewrite-expression-head

Rules

346×	`times-frac`
344×	`*-un-lft-identity`
255×	`add-sqr-sqrt`
243×	`add-cube-cbrt`
234×	`prod-diff`
45×	`distribute-lft-out`
34×	`div-inv`
28×	`associate-/r/`
18×	`fma-neg`
14×	`flip3-+` `flip-+`
8×	`distribute-lft-out--`
4×	`difference-of-squares`
3×	`add-log-exp`
1×	`expm1-log1p-u` `pow1` `sub-neg` `flip3--` `add-cbrt-cube` `diff-log` `add-exp-log` `frac-sub` `log1p-expm1-u` `flip--`

Counts

1 → 279

Calls

1 calls:

89.0ms

(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

series77.0ms

Counts

1 → 3

Calls

1 calls:

77.0ms

(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

simplify2.3s

Counts

282 → 282

Iterations

Iter	Nodes
done	5000
2	2037
1	835
0	364

prune829.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.3b

localize19.0ms

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))
2.2b	(- x (+ x 1.0))

rewrite97.0ms

Algorithm

rewrite-expression-head

Rules

26×	`*-un-lft-identity`
17×	`add-sqr-sqrt` `add-cbrt-cube` `add-exp-log`
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--` `distribute-lft-out--` `associate-/l/`
1×	`clear-num` `associate-/r` `sum-log` `sub-neg` `frac-2neg` `times-frac` `pow-prod-down` `-commutative` `div-inv` `associate-/l*` `associate--r+` `difference-of-squares` `unswap-sqr`

Counts

3 → 84

Calls

3 calls:

19.0ms	(* (+ x 1.0) x)
60.0ms	(/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))
16.0ms	(- x (+ x 1.0))

series129.0ms

Counts

3 → 9

Calls

3 calls:

66.0ms	(* (+ x 1.0) x)
54.0ms	(/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))
9.0ms	(- x (+ x 1.0))

simplify1.6s

Counts

93 → 93

Iterations

Iter	Nodes
done	5043
2	2060
1	422
0	145

prune393.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 49

Calls

2 calls:

26.0ms	(* (+ x 1.0) x)
15.0ms	(/ (* 1.0 (- 1.0)) (* (+ x 1.0) x))

series102.0ms

Counts

2 → 6

Calls

2 calls:

62.0ms	(* (+ x 1.0) x)
40.0ms	(/ (* 1.0 (- 1.0)) (* (+ x 1.0) x))

simplify1.4s

Counts

55 → 55

Iterations

Iter	Nodes
done	5000
2	1662
1	295
0	100

prune219.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 1 expressions with local error:

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

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 63

Calls

1 calls:

38.0ms

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

series69.0ms

Counts

1 → 3

Calls

1 calls:

69.0ms

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

simplify1.9s

Counts

66 → 66

Iterations

Iter	Nodes
done	5002
2	1521
1	442
0	159

prune339.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes43.0ms

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	15
3	15
2	13
1	11
0	7

end0.0ms

sample875.0ms

Algorithm

intervals

Results

408.0ms	1895×	body	640	valid
154.0ms	4272×	body	80	valid
122.0ms	1226×	body	320	valid
45.0ms	608×	body	160	valid