Details

sample16.0ms

Algorithm

intervals

Results

4.0ms	54×	body	640	valid
3.0ms	136×	body	80	valid
2.0ms	47×	body	320	valid
1.0ms	19×	body	160	valid

simplify4.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	4
1	12	4
2	12	4
done	12	4

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.4b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 1.0 (+ x 1.0))
1.6b	(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

rewrite112.0ms

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))
75.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

series86.0ms

Counts

2 → 6

Calls

2 calls:

29.0ms	(/ 1.0 (+ x 1.0))
56.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

simplify97.0ms

Counts

320 → 320

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	873	6795
1	2645	4746
2	5001	3686
done	5001	3686

prune228.0ms

Pruning

4 alts after pruning (4 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))
1.2b	(- x (+ x 1.0))

rewrite92.0ms

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:

19.0ms	(* (+ x 1.0) x)
50.0ms	(/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))
21.0ms	(- x (+ x 1.0))

series91.0ms

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))

simplify65.0ms

Counts

93 → 93

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	402	611
1	2289	439
2	5001	426
done	5001	426

prune144.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 1.0 (+ x 1.0))
0.1b	(* (/ 1.0 (+ x 1.0)) (/ (- 0 1.0) x))

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

48×	`*-un-lft-identity`
46×	`add-sqr-sqrt`
43×	`times-frac`
28×	`add-cube-cbrt`
19×	`associate-r`
18×	`associate-l`
16×	`add-exp-log` `add-cbrt-cube`
7×	`distribute-lft-out`
5×	`cbrt-undiv` `div-exp`
4×	`pow1` `prod-exp` `associate-/r*` `associate-/r/` `cbrt-unprod` `unswap-sqr`
3×	`div-inv` `associate-/l*` `distribute-lft-out--` `difference-of-squares`
2×	`expm1-log1p-u` `flip3-+` `flip-+` `log1p-expm1-u` `add-log-exp`
1×	`frac-times` `frac-2neg` `sub0-neg` `associate-r/` `distribute-frac-neg` `pow-prod-down` `associate-l/` `clear-num` `*-commutative` `distribute-rgt-neg-out`

Counts

2 → 99

Calls

2 calls:

10.0ms	(/ 1.0 (+ x 1.0))
50.0ms	(* (/ 1.0 (+ x 1.0)) (/ (- 0 1.0) x))

series66.0ms

Counts

2 → 6

Calls

2 calls:

25.0ms	(/ 1.0 (+ x 1.0))
40.0ms	(* (/ 1.0 (+ x 1.0)) (/ (- 0 1.0) x))

simplify57.0ms

Counts

105 → 105

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	503	681
1	2483	611
2	5001	609
done	5001	609

prune194.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite53.0ms

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))
38.0ms	(* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))

series376.0ms

Counts

4 → 12

Calls

4 calls:

90.0ms	(cbrt (+ x 1.0))
90.0ms	(cbrt (+ x 1.0))
89.0ms	(cbrt (+ x 1.0))
107.0ms	(* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))

simplify150.0ms

Counts

115 → 115

Iterations

Useful iterations: 3 (142.0ms)

Iter	Nodes	Cost
0	321	818
1	1071	769
2	4756	694
3	5001	692
done	5001	692

prune289.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes22.0ms

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	11	5
1	13	5
2	17	5
3	20	5
4	21	5
5	21	5
done	21	5

end0.0ms

sample423.0ms

Algorithm

intervals

Results

133.0ms	1924×	body	640	valid
87.0ms	4172×	body	80	valid
67.0ms	1283×	body	320	valid
22.0ms	621×	body	160	valid