Details

sample16.0ms

Algorithm

intervals

Results

5.0ms	64×	body	640	valid
3.0ms	138×	body	80	valid
2.0ms	37×	body	320	valid
1.0ms	17×	body	160	valid

simplify4.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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: 13.8b

localize5.0ms

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))

rewrite82.0ms

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:

5.0ms	(/ 1.0 (+ x 1.0))
52.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

series90.0ms

Counts

2 → 6

Calls

2 calls:

26.0ms	(/ 1.0 (+ x 1.0))
64.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

simplify1.3s

Counts

320 → 320

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	387	12162
1	872	10606
2	2598	7734
done	5000	7698

prune395.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.4b

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))
1.7b	(- x (+ x 1.0))

rewrite46.0ms

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:

9.0ms	(* (+ x 1.0) x)
25.0ms	(/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))
9.0ms	(- x (+ x 1.0))

series86.0ms

Counts

3 → 9

Calls

3 calls:

41.0ms	(* (+ x 1.0) x)
38.0ms	(/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))
7.0ms	(- x (+ x 1.0))

simplify816.0ms

Counts

93 → 93

Iterations

Useful iterations: 2 (147.0ms)

Iter	Nodes	Cost
0	145	1352
1	417	1032
2	2197	752
done	5000	752

prune141.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 62

Calls

2 calls:

5.0ms	(/ 1.0 (+ x 1.0))
8.0ms	(/ (* (/ 1.0 (+ x 1.0)) (- 1.0)) x)

series65.0ms

Counts

2 → 6

Calls

2 calls:

25.0ms	(/ 1.0 (+ x 1.0))
39.0ms	(/ (* (/ 1.0 (+ x 1.0)) (- 1.0)) x)

simplify639.0ms

Counts

68 → 68

Iterations

Useful iterations: 2 (115.0ms)

Iter	Nodes	Cost
0	130	827
1	342	769
2	1693	670
done	5000	670

prune126.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))
0.3b	(cbrt (+ x 1.0))
0.3b	(cbrt (+ x 1.0))
0.3b	(cbrt (+ x 1.0))

rewrite29.0ms

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:

19.0ms	(* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))
2.0ms	(cbrt (+ x 1.0))
2.0ms	(cbrt (+ x 1.0))
2.0ms	(cbrt (+ x 1.0))

series380.0ms

Counts

4 → 12

Calls

4 calls:

110.0ms	(* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))
89.0ms	(cbrt (+ x 1.0))
90.0ms	(cbrt (+ x 1.0))
91.0ms	(cbrt (+ x 1.0))

simplify2.4s

Counts

115 → 115

Iterations

Useful iterations: 3 (529.0ms)

Iter	Nodes	Cost
0	143	1535
1	326	1397
2	1059	1323
3	4183	1174
done	5000	1174

prune282.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes21.0ms

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	11	10
2	16	10
3	18	10
done	18	10

end0.0ms

sample405.0ms

Algorithm

intervals

Results

135.0ms	1833×	body	640	valid
86.0ms	4212×	body	80	valid
69.0ms	1290×	body	320	valid
27.0ms	665×	body	160	valid