Details

sample17.0ms

Algorithm

intervals

Results

4.0ms	66×	body	640	valid
3.0ms	135×	body	80	valid
2.0ms	40×	body	320	valid
1.0ms	15×	body	160	valid

simplify10.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	9
1	9	9
2	12	9
done	12	9

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.9b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 1.0 (+ x 1.0))
2.8b	(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

rewrite116.0ms

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

Counts

2 → 314

Calls

2 calls:

11.0ms	(/ 1.0 (+ x 1.0))
77.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

series81.0ms

Counts

2 → 6

Calls

2 calls:

26.0ms	(/ 1.0 (+ x 1.0))
55.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

simplify1.5s

Counts

320 → 320

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	387	12162
1	867	10606
2	1927	7734
done	5001	6020

prune270.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize6.0ms

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))

rewrite95.0ms

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:

20.0ms	(* (+ x 1.0) x)
53.0ms	(/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))
19.0ms	(- x (+ x 1.0))

series90.0ms

Counts

3 → 9

Calls

3 calls:

44.0ms	(* (+ x 1.0) x)
38.0ms	(/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))
8.0ms	(- x (+ x 1.0))

simplify1.0s

Counts

93 → 93

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	145	1352
1	394	1032
2	1872	752
done	5000	727

prune141.0ms

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

rewrite157.0ms

Algorithm

rewrite-expression-head

Rules

1907×	`times-frac`
1129×	`*-un-lft-identity`
823×	`add-sqr-sqrt` `add-cube-cbrt`
243×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
175×	`associate-/l*`
153×	`distribute-lft-out`
81×	`neg-mul-1`
57×	`div-inv`
19×	`associate-/r*`
16×	`add-exp-log` `add-cbrt-cube`
9×	`cbrt-undiv` `div-exp`
5×	`associate-/r/`
3×	`div-sub` `distribute-frac-neg`
2×	`pow1` `neg-sub0` `expm1-log1p-u` `frac-2neg` `clear-num` `log1p-expm1-u` `add-log-exp`
1×	`associate-/l/`

Counts

2 → 889

Calls

2 calls:

19.0ms	(/ (- 1.0) (/ (+ x 1.0) 1.0))
61.0ms	(/ (/ (- 1.0) (/ (+ x 1.0) 1.0)) x)

series67.0ms

Counts

2 → 6

Calls

2 calls:

24.0ms	(/ (- 1.0) (/ (+ x 1.0) 1.0))
43.0ms	(/ (/ (- 1.0) (/ (+ x 1.0) 1.0)) x)

simplify1.4s

Counts

895 → 895

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	1105	19020
1	2602	17526
done	5000	16948

prune1.5s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (+ x 1.0))
0.2b	(cbrt (+ x 1.0))
0.2b	(cbrt (+ x 1.0))
0.2b	(* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
35×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `swap-sqr` `flip-+` `distribute-lft-out`
7×	`associate-r` `associate-l`
6×	`add-exp-log`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 103

Calls

4 calls:

4.0ms	(cbrt (+ x 1.0))
4.0ms	(cbrt (+ x 1.0))
4.0ms	(cbrt (+ x 1.0))
40.0ms	(* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))

series374.0ms

Counts

4 → 12

Calls

4 calls:

89.0ms	(cbrt (+ x 1.0))
89.0ms	(cbrt (+ x 1.0))
90.0ms	(cbrt (+ x 1.0))
105.0ms	(* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))

simplify2.2s

Counts

115 → 115

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	143	1535
1	323	1385
2	839	1323
3	2190	1174
done	5001	1140

prune333.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes16.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	10	10
2	12	10
done	12	10

end0.0ms

sample436.0ms

Algorithm

intervals

Results

132.0ms	1862×	body	640	valid
89.0ms	4266×	body	80	valid
67.0ms	1223×	body	320	valid
23.0ms	650×	body	160	valid