Details

sample87.0ms

Algorithm

intervals

Results

48.0ms	118×	pre	10240	exit
17.0ms	256×	body	80	valid
8.0ms	138×	pre	80	true

simplify5.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	14
2	14
1	12
0	6

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.5b

localize8.0ms

Local error

Found 2 expressions with local error:

0.7b	(/ x0 (- 1 x1))
7.0b	(- (/ x0 (- 1 x1)) x0)

rewrite82.0ms

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:

16.0ms	(/ x0 (- 1 x1))
65.0ms	(- (/ x0 (- 1 x1)) x0)

series89.0ms

Counts

2 → 6

Calls

2 calls:

42.0ms	(/ x0 (- 1 x1))
48.0ms	(- (/ x0 (- 1 x1)) x0)

simplify1.0s

Counts

64 → 64

Iterations

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

prune215.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 6.5b

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite63.0ms

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:

8.0ms	(/ x0 (- 1 x1))
8.0ms	(/ x0 (- 1 x1))
29.0ms	(+ (/ x0 (- 1 x1)) x0)
16.0ms	(- (* (/ x0 (- 1 x1)) (/ x0 (- 1 x1))) (* x0 x0))

series175.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(/ x0 (- 1 x1))
37.0ms	(/ x0 (- 1 x1))
39.0ms	(+ (/ x0 (- 1 x1)) x0)
71.0ms	(- (* (/ x0 (- 1 x1)) (/ x0 (- 1 x1))) (* x0 x0))

simplify957.0ms

Counts

123 → 123

Iterations

Iter	Nodes
done	2002
3	2002
2	1313
1	370
0	152

prune428.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 4.7b

localize28.0ms

Local error

Found 4 expressions with local error:

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

rewrite78.0ms

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:

8.0ms	(/ x0 (- 1 x1))
8.0ms	(/ x0 (- 1 x1))
25.0ms	(+ (/ x0 (- 1 x1)) x0)
35.0ms	(- (* (/ x0 (- 1 x1)) (* x0 (/ 1 (- 1 x1)))) (* x0 x0))

series156.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(/ x0 (- 1 x1))
27.0ms	(/ x0 (- 1 x1))
33.0ms	(+ (/ x0 (- 1 x1)) x0)
67.0ms	(- (* (/ x0 (- 1 x1)) (* x0 (/ 1 (- 1 x1)))) (* x0 x0))

simplify808.0ms

Counts

122 → 122

Iterations

Iter	Nodes
done	2008
3	2008
2	1400
1	385
0	155

prune447.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 4.4b

localize35.0ms

Local error

Found 4 expressions with local error:

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

rewrite83.0ms

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:

15.0ms	(cbrt (+ (/ x0 (- 1 x1)) x0))
14.0ms	(cbrt (+ (/ x0 (- 1 x1)) x0))
14.0ms	(cbrt (+ (/ x0 (- 1 x1)) x0))
39.0ms	(- (* (/ x0 (- 1 x1)) (* x0 (/ 1 (- 1 x1)))) (* x0 x0))

series344.0ms

Counts

4 → 12

Calls

4 calls:

93.0ms	(cbrt (+ (/ x0 (- 1 x1)) x0))
95.0ms	(cbrt (+ (/ x0 (- 1 x1)) x0))
92.0ms	(cbrt (+ (/ x0 (- 1 x1)) x0))
63.0ms	(- (* (/ x0 (- 1 x1)) (* x0 (/ 1 (- 1 x1)))) (* x0 x0))

simplify667.0ms

Counts

70 → 70

Iterations

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

prune362.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 4.4b

regimes60.0ms

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	3953×	pre	10240	exit
336.0ms	8000×	body	80	valid
120.0ms	4047×	pre	80	true