Details

sample56.0ms

Algorithm

intervals

Results

29.0ms	134×	pre	10240	exit
11.0ms	256×	body	80	valid
4.0ms	122×	pre	80	true

simplify7.0ms

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: 7.9b

localize22.0ms

Local error

Found 2 expressions with local error:

0.7b	(/ x0 (- 1 x1))
7.5b	(- (/ x0 (- 1 x1)) x0)

rewrite60.0ms

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:

12.0ms	(/ x0 (- 1 x1))
47.0ms	(- (/ x0 (- 1 x1)) x0)

series91.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(/ x0 (- 1 x1))
55.0ms	(- (/ x0 (- 1 x1)) x0)

simplify1.6s

Counts

64 → 64

Iterations

Iter	Nodes
done	5001
3	2981
2	783
1	260
0	121

prune157.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 6.9b

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite68.0ms

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:

12.0ms	(/ x0 (- 1 x1))
8.0ms	(/ x0 (- 1 x1))
24.0ms	(+ (/ x0 (- 1 x1)) x0)
22.0ms	(- (* (/ x0 (- 1 x1)) (/ x0 (- 1 x1))) (* x0 x0))

series212.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(/ x0 (- 1 x1))
37.0ms	(/ x0 (- 1 x1))
50.0ms	(+ (/ x0 (- 1 x1)) x0)
89.0ms	(- (* (/ x0 (- 1 x1)) (/ x0 (- 1 x1))) (* x0 x0))

simplify1.1s

Counts

123 → 123

Iterations

Iter	Nodes
done	5002
2	1841
1	379
0	152

prune425.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 5.0b

localize39.0ms

Local error

Found 4 expressions with local error:

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

rewrite133.0ms

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:

13.0ms	(/ x0 (- 1 x1))
15.0ms	(/ x0 (- 1 x1))
40.0ms	(+ (/ x0 (- 1 x1)) x0)
63.0ms	(- (* (/ x0 (- 1 x1)) (* x0 (/ 1 (- 1 x1)))) (* x0 x0))

series190.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(/ x0 (- 1 x1))
37.0ms	(/ x0 (- 1 x1))
41.0ms	(+ (/ x0 (- 1 x1)) x0)
80.0ms	(- (* (/ x0 (- 1 x1)) (* x0 (/ 1 (- 1 x1)))) (* x0 x0))

simplify990.0ms

Counts

122 → 122

Iterations

Iter	Nodes
done	5001
2	1930
1	394
0	155

prune311.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 4.7b

localize35.0ms

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))

rewrite77.0ms

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))
13.0ms	(cbrt (+ (/ x0 (- 1 x1)) x0))
13.0ms	(cbrt (+ (/ x0 (- 1 x1)) x0))
36.0ms	(- (* (/ x0 (- 1 x1)) (* x0 (/ 1 (- 1 x1)))) (* x0 x0))

series318.0ms

Counts

4 → 12

Calls

4 calls:

85.0ms	(cbrt (+ (/ x0 (- 1 x1)) x0))
86.0ms	(cbrt (+ (/ x0 (- 1 x1)) x0))
86.0ms	(cbrt (+ (/ x0 (- 1 x1)) x0))
61.0ms	(- (* (/ x0 (- 1 x1)) (* x0 (/ 1 (- 1 x1)))) (* x0 x0))

simplify756.0ms

Counts

70 → 70

Iterations

Iter	Nodes
done	5000
2	1374
1	315
0	118

prune226.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 4.2b

regimes62.0ms

Accuracy

0% (0.6b remaining)

Error of 4.9b against oracle of 4.3b and baseline of 4.9b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	20
1	20
0	16

end0.0ms

sample1.6s

Algorithm

intervals

Results

1.0s	4018×	pre	10240	exit
304.0ms	8000×	body	80	valid
121.0ms	3982×	pre	80	true