Details

sample37.0ms

Algorithm

intervals

Results

12.0ms	65×	body	640	valid
6.0ms	134×	body	80	valid
5.0ms	37×	body	320	valid
2.0ms	20×	body	160	valid

simplify5.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

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: 16.5b

localize9.0ms

Local error

Found 1 expressions with local error:

3.5b	(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

rewrite176.0ms

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×	`pow1` `add-exp-log` `expm1-log1p-u` `sub-neg` `flip3--` `diff-log` `frac-sub` `add-cbrt-cube` `flip--` `log1p-expm1-u`

Counts

1 → 279

Calls

1 calls:

138.0ms

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

series90.0ms

Counts

1 → 3

Calls

1 calls:

90.0ms

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

simplify2.3s

Counts

282 → 282

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	364	11776
1	836	10290
2	2789	7870
done	5000	6540

prune618.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.3b

localize11.0ms

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))
3.2b	(- x (+ x 1.0))

rewrite113.0ms

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:

23.0ms	(* (+ x 1.0) x)
69.0ms	(/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))
19.0ms	(- x (+ x 1.0))

series133.0ms

Counts

3 → 9

Calls

3 calls:

72.0ms	(* (+ x 1.0) x)
53.0ms	(/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))
9.0ms	(- x (+ x 1.0))

simplify3.5s

Counts

93 → 93

Iterations

Useful iterations: done (3.5s)

Iter	Nodes	Cost
0	145	1352
1	423	1040
2	3437	783
done	5001	762

prune338.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 1 expressions with local error:

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

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

46×	`times-frac`
28×	`*-un-lft-identity`
20×	`add-sqr-sqrt` `add-cube-cbrt`
10×	`add-exp-log` `add-cbrt-cube` `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×	`pow1` `distribute-lft-neg-out` `expm1-log1p-u` `frac-2neg` `prod-exp` `clear-num` `cbrt-unprod` `log1p-expm1-u` `associate-/l/` `add-log-exp`

Counts

1 → 63

Calls

1 calls:

39.0ms

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

series46.0ms

Counts

1 → 3

Calls

1 calls:

46.0ms

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

simplify2.0s

Counts

66 → 66

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	159	1127
1	440	1057
2	2921	982
done	5001	976

prune273.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 51

Calls

2 calls:

25.0ms	(* x (+ x 1.0))
22.0ms	(/ (* (- 1.0) 1.0) (* x (+ x 1.0)))

series106.0ms

Counts

2 → 6

Calls

2 calls:

69.0ms	(* x (+ x 1.0))
37.0ms	(/ (* (- 1.0) 1.0) (* x (+ x 1.0)))

simplify1.7s

Counts

57 → 57

Iterations

Useful iterations: 2 (549.0ms)

Iter	Nodes	Cost
0	101	662
1	332	623
2	2587	506
done	5002	506

prune179.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes38.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify9.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	11	10
2	13	10
3	15	10
done	15	10

end0.0ms

sample1.0s

Algorithm

intervals

Results

331.0ms	1991×	body	640	valid
252.0ms	4189×	body	80	valid
174.0ms	1208×	body	320	valid
46.0ms	612×	body	160	valid