Details

sample24.0ms

Algorithm

intervals

Results

7.0ms	65×	body	640	valid
5.0ms	132×	body	80	valid
3.0ms	39×	body	320	valid
1.0ms	20×	body	160	valid

simplify6.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	15
2	15
1	12
0	7

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.9b

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 69

Calls

2 calls:

9.0ms	(/ 1.0 (- x 1.0))
73.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

series322.0ms

Counts

2 → 6

Calls

2 calls:

50.0ms	(/ 1.0 (- x 1.0))
272.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

simplify1.5s

Counts

75 → 75

Iterations

Iter	Nodes
done	5019
3	3090
2	947
1	331
0	144

prune271.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize14.0ms

Local error

Found 2 expressions with local error:

0.3b	(/ 1.0 (- (* x x) (* 1.0 1.0)))
2.2b	(- (- x 1.0) (+ x 1.0))

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

23×	`*-un-lft-identity`
14×	`add-log-exp`
13×	`add-sqr-sqrt`
12×	`times-frac`
11×	`add-cube-cbrt`
6×	`diff-log` `distribute-lft-out--`
5×	`difference-of-squares`
4×	`associate-/r*` `flip3--` `add-cbrt-cube` `add-exp-log` `frac-sub` `flip--`
3×	`associate-/l*`
2×	`pow1` `sum-log` `sub-neg` `flip3-+` `associate--l+` `associate-/r/` `flip-+` `distribute-lft-out`
1×	`associate--l-` `cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `div-inv` `associate--r+`

Counts

2 → 61

Calls

2 calls:

10.0ms	(/ 1.0 (- (* x x) (* 1.0 1.0)))
53.0ms	(- (- x 1.0) (+ x 1.0))

series74.0ms

Counts

2 → 6

Calls

2 calls:

65.0ms	(/ 1.0 (- (* x x) (* 1.0 1.0)))
8.0ms	(- (- x 1.0) (+ x 1.0))

simplify1.4s

Counts

67 → 67

Iterations

Iter	Nodes
done	5003
2	1696
1	409
0	151

prune247.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (- 2.0))
0.3b	(/ 1.0 (- (* x x) (* 1.0 1.0)))

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 78

Calls

2 calls:

39.0ms	(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (- 2.0))
24.0ms	(/ 1.0 (- (* x x) (* 1.0 1.0)))

series130.0ms

Counts

2 → 6

Calls

2 calls:

56.0ms	(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (- 2.0))
74.0ms	(/ 1.0 (- (* x x) (* 1.0 1.0)))

simplify1.4s

Counts

84 → 84

Iterations

Iter	Nodes
done	5019
2	1824
1	472
0	158

prune386.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 1.0 (- x 1.0))
0.1b	(* (/ 1 (+ x 1.0)) (* (/ 1.0 (- x 1.0)) (- 2.0)))

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

43×	`add-exp-log`
34×	`*-un-lft-identity`
28×	`add-sqr-sqrt`
27×	`times-frac`
25×	`add-cbrt-cube`
20×	`prod-exp` `add-cube-cbrt`
18×	`associate-l`
11×	`div-exp`
10×	`cbrt-unprod`
7×	`pow1`
6×	`cbrt-undiv`
5×	`associate-/r*`
4×	`associate-/r/` `distribute-lft-out--` `difference-of-squares`
3×	`rec-exp` `1-exp` `pow-prod-down` `associate-l/` `distribute-lft-out` `associate-/l`
2×	`distribute-rgt-neg-out` `div-inv` `add-log-exp`
1×	`frac-times` `clear-num` `frac-2neg` `flip3-+` `flip3--` `associate-r` `associate-r/` `-commutative` `flip-+` `flip--`

Counts

2 → 88

Calls

2 calls:

16.0ms	(/ 1.0 (- x 1.0))
76.0ms	(* (/ 1 (+ x 1.0)) (* (/ 1.0 (- x 1.0)) (- 2.0)))

series136.0ms

Counts

2 → 6

Calls

2 calls:

47.0ms	(/ 1.0 (- x 1.0))
89.0ms	(* (/ 1 (+ x 1.0)) (* (/ 1.0 (- x 1.0)) (- 2.0)))

simplify1.9s

Counts

94 → 94

Iterations

Iter	Nodes
done	5000
2	1899
1	523
0	191

prune329.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes38.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify13.0ms

Iterations

Iter	Nodes
done	35
4	35
3	32
2	26
1	18
0	11

end0.0ms

sample1.0s

Algorithm

intervals

Results

358.0ms	1897×	body	640	valid
278.0ms	4271×	body	80	valid
178.0ms	1223×	body	320	valid
77.0ms	609×	body	160	valid