Details

sample53.0ms

Algorithm

intervals

Results

29.0ms	135×	pre	10240	exit
9.0ms	256×	body	80	valid
4.0ms	121×	pre	80	true

simplify5.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	14
2	14
1	12
0	6

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.7b

localize9.0ms

Local error

Found 2 expressions with local error:

0.7b	(/ x0 (- 1 x1))
7.2b	(- (/ x0 (- 1 x1)) x0)

rewrite98.0ms

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:

11.0ms	(/ x0 (- 1 x1))
83.0ms	(- (/ x0 (- 1 x1)) x0)

series79.0ms

Counts

2 → 6

Calls

2 calls:

30.0ms	(/ x0 (- 1 x1))
49.0ms	(- (/ x0 (- 1 x1)) x0)

simplify1.2s

Counts

64 → 64

Iterations

Iter	Nodes
done	5000
3	1887
2	672
1	251
0	121

prune210.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 6.7b

localize21.0ms

Local error

Found 4 expressions with local error:

0.7b	(/ x0 (- 1 x1))
0.7b	(/ x0 (- 1 x1))
0.8b	(+ (/ x0 (- 1 x1)) x0)
6.0b	(- (* (/ x0 (- 1 x1)) (/ x0 (- 1 x1))) (* x0 x0))

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

52×	`*-un-lft-identity`
50×	`add-sqr-sqrt`
36×	`times-frac`
26×	`add-cube-cbrt`
17×	`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 → 111

Calls

4 calls:

16.0ms	(/ x0 (- 1 x1))
11.0ms	(/ x0 (- 1 x1))
44.0ms	(+ (/ x0 (- 1 x1)) x0)
22.0ms	(- (* (/ x0 (- 1 x1)) (/ x0 (- 1 x1))) (* x0 x0))

series181.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(/ x0 (- 1 x1))
30.0ms	(/ x0 (- 1 x1))
38.0ms	(+ (/ x0 (- 1 x1)) x0)
87.0ms	(- (* (/ x0 (- 1 x1)) (/ x0 (- 1 x1))) (* x0 x0))

simplify1.1s

Counts

123 → 123

Iterations

Iter	Nodes
done	5001
2	1313
1	370
0	152

prune402.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 5.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.7b	(/ x0 (- 1 x1))
0.7b	(/ x0 (- 1 x1))
0.8b	(+ (/ x0 (- 1 x1)) x0)
6.0b	(- (* (/ x0 (- 1 x1)) (* x0 (/ 1 (- 1 x1)))) (* x0 x0))

rewrite167.0ms

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:

18.0ms	(/ x0 (- 1 x1))
17.0ms	(/ x0 (- 1 x1))
66.0ms	(+ (/ x0 (- 1 x1)) x0)
62.0ms	(- (* (/ x0 (- 1 x1)) (* x0 (/ 1 (- 1 x1)))) (* x0 x0))

series216.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(/ x0 (- 1 x1))
39.0ms	(/ x0 (- 1 x1))
46.0ms	(+ (/ x0 (- 1 x1)) x0)
93.0ms	(- (* (/ x0 (- 1 x1)) (* x0 (/ 1 (- 1 x1)))) (* x0 x0))

simplify1.3s

Counts

122 → 122

Iterations

Iter	Nodes
done	5001
2	1400
1	385
0	155

prune375.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 4.5b

localize43.0ms

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))
6.0b	(- (* (/ x0 (- 1 x1)) (* x0 (/ 1 (- 1 x1)))) (* x0 x0))

rewrite128.0ms

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:

26.0ms	(cbrt (+ (/ x0 (- 1 x1)) x0))
25.0ms	(cbrt (+ (/ x0 (- 1 x1)) x0))
27.0ms	(cbrt (+ (/ x0 (- 1 x1)) x0))
48.0ms	(- (* (/ x0 (- 1 x1)) (* x0 (/ 1 (- 1 x1)))) (* x0 x0))

series331.0ms

Counts

4 → 12

Calls

4 calls:

90.0ms	(cbrt (+ (/ x0 (- 1 x1)) x0))
88.0ms	(cbrt (+ (/ x0 (- 1 x1)) x0))
89.0ms	(cbrt (+ (/ x0 (- 1 x1)) x0))
64.0ms	(- (* (/ x0 (- 1 x1)) (* x0 (/ 1 (- 1 x1)))) (* x0 x0))

simplify2.1s

Counts

70 → 70

Iterations

Iter	Nodes
done	5013
3	4488
2	888
1	305
0	118

prune248.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 4.5b

regimes59.0ms

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

sample1.1s

Algorithm

intervals

Results

625.0ms	3931×	pre	10240	exit
248.0ms	8000×	body	80	valid
102.0ms	4069×	pre	80	true