Details

sample51.0ms

Algorithm

intervals

Results

26.0ms	117×	pre	10240	exit
10.0ms	256×	body	80	valid
4.0ms	139×	pre	80	true

simplify5.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	14
2	14
1	12
0	6

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.9b

localize9.0ms

Local error

Found 2 expressions with local error:

0.8b	(/ x0 (- 1 x1))
7.3b	(- (/ x0 (- 1 x1)) x0)

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-sqr-sqrt`
27×	`*-un-lft-identity`
19×	`times-frac`
13×	`add-cube-cbrt`
10×	`difference-of-squares`
6×	`associate-/r*`
5×	`distribute-lft-out--`
4×	`add-cbrt-cube` `add-exp-log` `add-log-exp`
3×	`associate-/l*`
2×	`pow1` `flip3--` `associate-/r/` `insert-posit16` `flip--`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `diff-log` `div-exp` `div-inv`

Counts

2 → 58

Calls

2 calls:

9.0ms	(/ x0 (- 1 x1))
41.0ms	(- (/ x0 (- 1 x1)) x0)

series74.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(/ x0 (- 1 x1))
39.0ms	(- (/ x0 (- 1 x1)) x0)

simplify958.0ms

Counts

64 → 64

Iterations

Iter	Nodes
done	2005
4	2005
3	1887
2	672
1	251
0	121

prune183.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 6.9b

localize19.0ms

Local error

Found 4 expressions with local error:

0.8b	(/ x0 (- 1 x1))
0.8b	(/ x0 (- 1 x1))
0.8b	(/ x0 (- 1 x1))
6.2b	(- (* (/ x0 (- 1 x1)) (/ x0 (- 1 x1))) (* x0 x0))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

73×	`add-sqr-sqrt` `*-un-lft-identity`
54×	`times-frac`
37×	`add-cube-cbrt`
25×	`difference-of-squares`
18×	`associate-/r*`
12×	`distribute-lft-out--`
10×	`add-cbrt-cube` `add-exp-log`
9×	`associate-/l*`
6×	`associate-/r/` `add-log-exp`
4×	`pow1` `flip3--` `insert-posit16` `flip--`
3×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `div-inv`
1×	`sub-neg` `diff-log`

Counts

4 → 140

Calls

4 calls:

12.0ms	(/ x0 (- 1 x1))
12.0ms	(/ x0 (- 1 x1))
12.0ms	(/ x0 (- 1 x1))
24.0ms	(- (* (/ x0 (- 1 x1)) (/ x0 (- 1 x1))) (* x0 x0))

series184.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(/ x0 (- 1 x1))
28.0ms	(/ x0 (- 1 x1))
27.0ms	(/ x0 (- 1 x1))
93.0ms	(- (* (/ x0 (- 1 x1)) (/ x0 (- 1 x1))) (* x0 x0))

simplify857.0ms

Counts

152 → 152

Iterations

Iter	Nodes
done	2007
3	2007
2	1110
1	313
0	132

prune377.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 5.1b

localize28.0ms

Local error

Found 4 expressions with local error:

0.7b	(+ (/ x0 (- 1 x1)) x0)
0.8b	(/ x0 (- 1 x1))
0.8b	(/ x0 (- 1 x1))
6.2b	(- (* (/ x0 (- 1 x1)) (* x0 (/ 1 (- 1 x1)))) (* x0 x0))

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

52×	`*-un-lft-identity`
50×	`add-sqr-sqrt`
36×	`times-frac`
26×	`add-cube-cbrt`
16×	`difference-of-squares`
12×	`associate-/r*`
8×	`add-cbrt-cube` `add-exp-log` `distribute-lft-out--` `add-log-exp`
6×	`associate-/l*`
4×	`pow1` `associate-/r/` `insert-posit16`
3×	`flip3--` `flip--`
2×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `div-inv`
1×	`+-commutative` `sum-log` `sub-neg` `flip3-+` `diff-log` `flip-+` `distribute-lft-out`

Counts

4 → 110

Calls

4 calls:

24.0ms	(+ (/ x0 (- 1 x1)) x0)
8.0ms	(/ x0 (- 1 x1))
8.0ms	(/ x0 (- 1 x1))
33.0ms	(- (* (/ x0 (- 1 x1)) (* x0 (/ 1 (- 1 x1)))) (* x0 x0))

series154.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(+ (/ x0 (- 1 x1)) x0)
27.0ms	(/ x0 (- 1 x1))
27.0ms	(/ x0 (- 1 x1))
65.0ms	(- (* (/ x0 (- 1 x1)) (* x0 (/ 1 (- 1 x1)))) (* x0 x0))

simplify875.0ms

Counts

122 → 122

Iterations

Iter	Nodes
done	2005
3	2005
2	1396
1	385
0	155

prune456.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 4.7b

localize64.0ms

Local error

Found 4 expressions with local error:

0.9b	(cbrt (+ (/ x0 (- 1 x1)) x0))
0.9b	(cbrt (+ (/ x0 (- 1 x1)) x0))
0.9b	(cbrt (+ (/ x0 (- 1 x1)) x0))
6.2b	(- (* (/ x0 (- 1 x1)) (* x0 (/ 1 (- 1 x1)))) (* x0 x0))

rewrite87.0ms

Algorithm

rewrite-expression-head

Rules

13×	`*-un-lft-identity`
12×	`cbrt-prod`
7×	`add-sqr-sqrt` `add-cube-cbrt`
6×	`cbrt-div` `add-log-exp`
4×	`pow1` `add-cbrt-cube` `add-exp-log` `insert-posit16`
3×	`flip3-+` `pow1/3` `flip-+` `distribute-lft-out`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

4 → 58

Calls

4 calls:

13.0ms	(cbrt (+ (/ x0 (- 1 x1)) x0))
14.0ms	(cbrt (+ (/ x0 (- 1 x1)) x0))
13.0ms	(cbrt (+ (/ x0 (- 1 x1)) x0))
46.0ms	(- (* (/ x0 (- 1 x1)) (* x0 (/ 1 (- 1 x1)))) (* x0 x0))

series357.0ms

Counts

4 → 12

Calls

4 calls:

89.0ms	(cbrt (+ (/ x0 (- 1 x1)) x0))
108.0ms	(cbrt (+ (/ x0 (- 1 x1)) x0))
95.0ms	(cbrt (+ (/ x0 (- 1 x1)) x0))
64.0ms	(- (* (/ x0 (- 1 x1)) (* x0 (/ 1 (- 1 x1)))) (* x0 x0))

simplify658.0ms

Counts

70 → 70

Iterations

Iter	Nodes
done	2002
3	2002
2	888
1	305
0	118

prune255.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 4.7b

regimes61.0ms

Accuracy

0% (1.0b remaining)

Error of 5.7b against oracle of 4.7b and baseline of 5.7b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	21
1	21
0	15

end0.0ms

sample1.7s

Algorithm

intervals

Results

1.1s	4013×	pre	10240	exit
363.0ms	8000×	body	80	valid
136.0ms	3987×	pre	80	true