Details

sample29.0ms

Algorithm

intervals

Results

9.0ms	72×	body	640	valid
8.0ms	123×	body	80	valid
3.0ms	37×	body	320	valid
1.0ms	24×	body	160	valid

simplify7.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	12	11
2	15	11
done	15	11

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 19.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1.0 (- x 1.0))
0.0b	(/ 1.0 (+ x 1.0))
3.9b	(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

rewrite170.0ms

Algorithm

rewrite-expression-head

Rules

84×	`*-un-lft-identity`
55×	`times-frac`
50×	`add-sqr-sqrt`
30×	`add-cube-cbrt`
25×	`distribute-lft-out--`
10×	`distribute-lft-out`
9×	`associate-/r*`
8×	`difference-of-squares`
7×	`add-exp-log` `add-cbrt-cube`
6×	`associate-/r/` `associate-/l*`
5×	`add-log-exp`
4×	`div-inv`
3×	`pow1` `flip--`
2×	`cbrt-undiv` `flip3--` `frac-2neg` `div-exp` `clear-num` `flip-+`
1×	`sub-neg` `flip3-+` `diff-log` `frac-sub`

Counts

3 → 102

Calls

3 calls:

20.0ms	(/ 1.0 (- x 1.0))
18.0ms	(/ 1.0 (+ x 1.0))
126.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

series337.0ms

Counts

3 → 9

Calls

3 calls:

41.0ms	(/ 1.0 (- x 1.0))
38.0ms	(/ 1.0 (+ x 1.0))
258.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

simplify1.8s

Counts

111 → 111

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	175	1402
1	388	1325
2	941	1259
3	2141	1255
done	5001	1249

prune248.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.3b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (- (- 0 1.0) 1.0))
0.3b	(/ 1.0 (- (* x x) (* 1.0 1.0)))

rewrite206.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt`
25×	`*-un-lft-identity` `times-frac`
20×	`add-cube-cbrt`
18×	`associate-l`
9×	`add-exp-log` `add-cbrt-cube`
8×	`difference-of-squares`
6×	`associate-r`
4×	`pow1` `distribute-rgt-in` `sub-neg` `flip3--` `distribute-lft-in` `associate--l+` `associate-/r*` `associate-/r/` `flip--`
3×	`associate-/l*` `distribute-lft-out--`
2×	`cbrt-undiv` `frac-times` `associate-*r/` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `add-log-exp` `unswap-sqr`
1×	`frac-2neg` `pow-prod-down` `associate-l/` `clear-num` `-commutative`

Counts

2 → 85

Calls

2 calls:

180.0ms	(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (- (- 0 1.0) 1.0))
21.0ms	(/ 1.0 (- (* x x) (* 1.0 1.0)))

series118.0ms

Counts

2 → 6

Calls

2 calls:

56.0ms	(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (- (- 0 1.0) 1.0))
62.0ms	(/ 1.0 (- (* x x) (* 1.0 1.0)))

simplify1.2s

Counts

91 → 91

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	173	1684
1	440	1536
2	1490	1354
done	5000	1280

prune287.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (* 2 (- (pow 1.0 4))) (+ 1.0 x))
0.1b	(/ (/ (* 2 (- (pow 1.0 4))) (+ 1.0 x)) (- x 1.0))

rewrite89.0ms

Algorithm

rewrite-expression-head

Rules

78×	`times-frac`
65×	`*-un-lft-identity`
49×	`add-sqr-sqrt`
27×	`add-cube-cbrt`
16×	`add-exp-log` `associate-/r/` `add-cbrt-cube`
11×	`associate-/l*` `distribute-lft-out--` `difference-of-squares`
9×	`associate-/r*`
8×	`div-inv` `distribute-lft-out`
7×	`cbrt-undiv` `flip3-+` `div-exp` `flip-+`
3×	`distribute-frac-neg`
2×	`pow1` `frac-2neg` `prod-exp` `clear-num` `distribute-rgt-neg-out` `cbrt-unprod` `add-log-exp`
1×	`flip3--` `flip--` `associate-/l/`

Counts

2 → 111

Calls

2 calls:

37.0ms	(/ (* 2 (- (pow 1.0 4))) (+ 1.0 x))
43.0ms	(/ (/ (* 2 (- (pow 1.0 4))) (+ 1.0 x)) (- x 1.0))

series172.0ms

Counts

2 → 6

Calls

2 calls:

55.0ms	(/ (* 2 (- (pow 1.0 4))) (+ 1.0 x))
116.0ms	(/ (/ (* 2 (- (pow 1.0 4))) (+ 1.0 x)) (- x 1.0))

simplify1.1s

Counts

117 → 117

Iterations

Useful iterations: 2 (501.0ms)

Iter	Nodes	Cost
0	209	2482
1	585	2359
2	2091	2102
done	5002	2102

prune517.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize45.0ms

Local error

Found 4 expressions with local error:

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

rewrite112.0ms

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×	`frac-times` `add-cbrt-cube` `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 → 95

Calls

4 calls:

5.0ms	(cbrt (+ 1.0 x))
9.0ms	(cbrt (+ 1.0 x))
18.0ms	(cbrt (+ 1.0 x))
77.0ms	(* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))

series466.0ms

Counts

4 → 12

Calls

4 calls:

117.0ms	(cbrt (+ 1.0 x))
121.0ms	(cbrt (+ 1.0 x))
113.0ms	(cbrt (+ 1.0 x))
114.0ms	(* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))

simplify1.9s

Counts

107 → 107

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	139	1485
1	308	1358
2	768	1288
3	1889	1148
done	5001	1116

prune592.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes21.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify40.0ms

Iterations

Useful iterations: 3 (14.0ms)

Iter	Nodes	Cost
0	19	32
1	27	29
2	36	28
3	42	26
4	45	26
5	49	26
6	50	26
done	50	26

end0.0ms

sample1.5s

Algorithm

intervals

Results

466.0ms	589×	body	160	valid
450.0ms	1974×	body	640	valid
243.0ms	4256×	body	80	valid
185.0ms	1181×	body	320	valid