Details

sample42.0ms

Algorithm

intervals

Results

10.0ms	47×	body	640	valid
9.0ms	56×	body	320	valid
8.0ms	139×	body	80	valid
2.0ms	14×	body	160	valid

simplify13.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.9b

localize16.0ms

Local error

Found 3 expressions with local error:

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

rewrite183.0ms

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:

23.0ms	(/ 1.0 (+ x 1.0))
14.0ms	(/ 1.0 (- x 1.0))
137.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

series295.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(/ 1.0 (+ x 1.0))
36.0ms	(/ 1.0 (- x 1.0))
220.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

simplify2.2s

Counts

111 → 111

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	175	1402
1	388	1325
2	940	1259
3	2140	1255
done	5001	1249

prune305.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize10.0ms

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)))

rewrite183.0ms

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` `flip3--` `associate-/r*` `associate-/r/` `flip--`
3×	`associate-/l*`
2×	`cbrt-undiv` `distribute-rgt-in` `frac-times` `sub-neg` `distribute-lft-in` `associate-*r/` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `distribute-lft-out--` `add-log-exp` `unswap-sqr`
1×	`frac-2neg` `sub0-neg` `pow-prod-down` `associate-l/` `clear-num` `-commutative` `distribute-rgt-neg-out` `distribute-lft-out`

Counts

2 → 82

Calls

2 calls:

162.0ms	(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (- 0 (+ 1.0 1.0)))
14.0ms	(/ 1.0 (- (* x x) (* 1.0 1.0)))

series153.0ms

Counts

2 → 6

Calls

2 calls:

66.0ms	(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (- 0 (+ 1.0 1.0)))
87.0ms	(/ 1.0 (- (* x x) (* 1.0 1.0)))

simplify1.6s

Counts

88 → 88

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	172	1597
1	446	1449
2	1659	1248
done	5000	1202

prune228.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 3 expressions with local error:

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

rewrite284.0ms

Algorithm

rewrite-expression-head

Rules

327×	`times-frac`
292×	`*-un-lft-identity`
224×	`add-sqr-sqrt`
139×	`add-cube-cbrt`
96×	`associate-l`
39×	`distribute-lft-out--`
38×	`distribute-lft-out` `difference-of-squares`
28×	`associate-/r/`
21×	`associate-/l*`
19×	`add-exp-log` `add-cbrt-cube`
14×	`div-inv`
12×	`flip3-+` `flip-+`
9×	`associate-/r*`
7×	`cbrt-undiv` `div-exp`
6×	`associate-r`
5×	`pow1`
4×	`flip3--` `flip--`
3×	`prod-exp` `cbrt-unprod` `add-log-exp` `unswap-sqr`
2×	`distribute-rgt-in` `frac-times` `sub-neg` `frac-2neg` `distribute-lft-in` `associate-*r/` `clear-num`
1×	`sub0-neg` `pow-prod-down` `associate-l/` `-commutative` `distribute-rgt-neg-out` `associate-/l/`

Counts

3 → 293

Calls

3 calls:

12.0ms	(/ 1.0 (+ x 1.0))
185.0ms	(* (/ (/ 1.0 (+ x 1.0)) (- x 1.0)) (- 0 (+ 1.0 1.0)))
63.0ms	(/ (/ 1.0 (+ x 1.0)) (- x 1.0))

series208.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms	(/ 1.0 (+ x 1.0))
94.0ms	(* (/ (/ 1.0 (+ x 1.0)) (- x 1.0)) (- 0 (+ 1.0 1.0)))
82.0ms	(/ (/ 1.0 (+ x 1.0)) (- x 1.0))

simplify2.6s

Counts

302 → 302

Iterations

Useful iterations: 2 (1.3s)

Iter	Nodes	Cost
0	374	5436
1	1023	5004
2	3837	4641
done	5001	4641

prune983.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize29.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 1.0 (+ 1.0 x))
0.1b	(/ (* (/ 1.0 (+ 1.0 x)) (pow (* -2 1.0) 3)) (* (* 4 (* 1.0 1.0)) (- x 1.0)))

rewrite169.0ms

Algorithm

rewrite-expression-head

Rules

178×	`add-exp-log`
94×	`prod-exp`
58×	`add-cbrt-cube`
53×	`div-exp`
26×	`cbrt-unprod`
19×	`*-un-lft-identity`
17×	`cbrt-undiv`
16×	`pow-exp`
13×	`times-frac`
11×	`add-sqr-sqrt` `add-cube-cbrt`
8×	`pow-to-exp`
5×	`associate-/r*`
4×	`associate-/r/` `distribute-lft-out` `associate-/l*`
2×	`pow1` `frac-2neg` `associate-*r/` `clear-num` `div-inv` `add-log-exp`
1×	`flip3--` `flip3-+` `associate-*l/` `flip--` `flip-+` `associate-/l/`

Counts

2 → 97

Calls

2 calls:

24.0ms	(/ 1.0 (+ 1.0 x))
132.0ms	(/ (* (/ 1.0 (+ 1.0 x)) (pow (* -2 1.0) 3)) (* (* 4 (* 1.0 1.0)) (- x 1.0)))

series182.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(/ 1.0 (+ 1.0 x))
148.0ms	(/ (* (/ 1.0 (+ 1.0 x)) (pow (* -2 1.0) 3)) (* (* 4 (* 1.0 1.0)) (- x 1.0)))

simplify2.2s

Counts

103 → 103

Iterations

Useful iterations: 2 (761.0ms)

Iter	Nodes	Cost
0	205	2542
1	555	2217
2	3084	1661
done	5000	1661

prune181.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes20.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	21
1	20	21
done	20	21

end0.0ms

sample1.6s

Algorithm

intervals

Results

647.0ms	1309×	body	320	valid
446.0ms	1890×	body	640	valid
246.0ms	4151×	body	80	valid
59.0ms	650×	body	160	valid