Details

sample31.0ms

Algorithm

intervals

Results

9.0ms	62×	body	640	valid
6.0ms	48×	body	320	valid
5.0ms	124×	body	80	valid
2.0ms	22×	body	160	valid

simplify6.0ms

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: 15.6b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1.0 (- x 1.0))
0.0b	(/ 1.0 (+ x 1.0))
2.2b	(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

rewrite147.0ms

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:

12.0ms	(/ 1.0 (- x 1.0))
12.0ms	(/ 1.0 (+ x 1.0))
120.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

series305.0ms

Counts

3 → 9

Calls

3 calls:

30.0ms	(/ 1.0 (- x 1.0))
43.0ms	(/ 1.0 (+ x 1.0))
232.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

simplify1.7s

Counts

111 → 111

Iterations

Useful iterations: done (1.7s)

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

prune273.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize19.0ms

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)))

rewrite180.0ms

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:

158.0ms	(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (- (- 0 1.0) 1.0))
19.0ms	(/ 1.0 (- (* x x) (* 1.0 1.0)))

series108.0ms

Counts

2 → 6

Calls

2 calls:

57.0ms	(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (- (- 0 1.0) 1.0))
51.0ms	(/ 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

prune306.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize27.0ms

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))

rewrite116.0ms

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:

49.0ms	(/ (* 2 (- (pow 1.0 4))) (+ 1.0 x))
58.0ms	(/ (/ (* 2 (- (pow 1.0 4))) (+ 1.0 x)) (- x 1.0))

series157.0ms

Counts

2 → 6

Calls

2 calls:

30.0ms	(/ (* 2 (- (pow 1.0 4))) (+ 1.0 x))
127.0ms	(/ (/ (* 2 (- (pow 1.0 4))) (+ 1.0 x)) (- x 1.0))

simplify1.1s

Counts

117 → 117

Iterations

Useful iterations: 2 (488.0ms)

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

prune486.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (* 1.0 (- (- 1.0) 1.0)) (- x 1.0))
0.0b	(/ 1 (+ x 1.0))
0.1b	(* (/ 1 (+ x 1.0)) (/ (* 1.0 (- (- 1.0) 1.0)) (- x 1.0)))

rewrite225.0ms

Algorithm

rewrite-expression-head

Rules

51×	`add-exp-log`
45×	`*-un-lft-identity`
37×	`add-sqr-sqrt`
36×	`times-frac`
31×	`add-cbrt-cube`
24×	`add-cube-cbrt`
18×	`div-exp` `associate-l`
17×	`prod-exp`
11×	`associate-r`
10×	`cbrt-undiv`
9×	`associate-/r*` `cbrt-unprod`
8×	`associate-/r/`
7×	`distribute-lft-out`
6×	`pow1`
4×	`rec-exp` `1-exp` `div-inv` `associate-/l*`
3×	`flip3--` `associate-*r/` `flip--` `distribute-lft-out--` `add-log-exp` `difference-of-squares` `unswap-sqr`
2×	`frac-2neg` `flip3-+` `clear-num` `flip-+` `associate-/l/`
1×	`frac-times` `pow-flip` `pow-prod-down` `associate-l/` `-commutative` `inv-pow`

Counts

3 → 128

Calls

3 calls:

45.0ms	(/ (* 1.0 (- (- 1.0) 1.0)) (- x 1.0))
20.0ms	(/ 1 (+ x 1.0))
150.0ms	(* (/ 1 (+ x 1.0)) (/ (* 1.0 (- (- 1.0) 1.0)) (- x 1.0)))

series188.0ms

Counts

3 → 9

Calls

3 calls:

47.0ms	(/ (* 1.0 (- (- 1.0) 1.0)) (- x 1.0))
37.0ms	(/ 1 (+ x 1.0))
104.0ms	(* (/ 1 (+ x 1.0)) (/ (* 1.0 (- (- 1.0) 1.0)) (- x 1.0)))

simplify1.6s

Counts

137 → 137

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	216	2251
1	591	2010
2	2049	1672
done	5000	1667

prune257.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes28.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify22.0ms

Iterations

Useful iterations: 3 (8.0ms)

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

sample1.1s

Algorithm

intervals

Results

527.0ms	1905×	body	640	valid
238.0ms	4182×	body	80	valid
169.0ms	1302×	body	320	valid
58.0ms	611×	body	160	valid