Details

sample44.0ms

Algorithm

intervals

Results

14.0ms	65×	body	640	valid
8.0ms	132×	body	80	valid
6.0ms	39×	body	320	valid
2.0ms	20×	body	160	valid

simplify10.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	15
2	15
1	12
0	7

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.9b

localize20.0ms

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)))

rewrite136.0ms

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))
124.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

series280.0ms

Counts

2 → 6

Calls

2 calls:

39.0ms	(/ 1.0 (- x 1.0))
240.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

simplify950.0ms

Counts

75 → 75

Iterations

Iter	Nodes
done	5000
2	1229
1	331
0	144

prune367.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize30.0ms

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))

rewrite73.0ms

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:

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

series77.0ms

Counts

2 → 6

Calls

2 calls:

67.0ms	(/ 1.0 (- (* x x) (* 1.0 1.0)))
10.0ms	(- (- x 1.0) (+ x 1.0))

simplify1.4s

Counts

67 → 67

Iterations

Iter	Nodes
done	5001
2	2326
1	419
0	151

prune286.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

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)))

rewrite53.0ms

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:

40.0ms	(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (- 2.0))
10.0ms	(/ 1.0 (- (* x x) (* 1.0 1.0)))

series156.0ms

Counts

2 → 6

Calls

2 calls:

89.0ms	(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (- 2.0))
68.0ms	(/ 1.0 (- (* x x) (* 1.0 1.0)))

simplify1.3s

Counts

84 → 84

Iterations

Iter	Nodes
done	5000
2	2702
1	480
0	158

prune468.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

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)))

rewrite127.0ms

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:

17.0ms	(/ 1.0 (- x 1.0))
104.0ms	(* (/ 1 (+ x 1.0)) (* (/ 1.0 (- x 1.0)) (- 2.0)))

series163.0ms

Counts

2 → 6

Calls

2 calls:

43.0ms	(/ 1.0 (- x 1.0))
121.0ms	(* (/ 1 (+ x 1.0)) (* (/ 1.0 (- x 1.0)) (- 2.0)))

simplify2.6s

Counts

94 → 94

Iterations

Iter	Nodes
done	5000
2	3261
1	545
0	191

prune359.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes49.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify10.0ms

Iterations

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

end0.0ms

sample1.3s

Algorithm

intervals

Results

779.0ms	1897×	body	640	valid
174.0ms	4271×	body	80	valid
165.0ms	1223×	body	320	valid
87.0ms	609×	body	160	valid