Details

sample63.0ms

Algorithm

intervals

Results

18.0ms	198×	body	80	valid
12.0ms	27×	body	1280	valid
10.0ms	256×	pre	80	true
6.0ms	16×	body	640	valid
2.0ms	9×	body	320	valid
1.0ms	6×	body	160	valid

simplify2.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
9	4613
8	1507
7	644
6	306
5	164
4	74
3	53
2	34
1	20
0	10

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.6b

localize25.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- beta alpha) (+ (+ alpha beta) 2.0))
1.5b	(+ (/ (- beta alpha) (+ (+ alpha beta) 2.0)) 1.0)

rewrite158.0ms

Algorithm

rewrite-expression-head

Rules

58×	`*-un-lft-identity`
26×	`add-sqr-sqrt`
25×	`times-frac`
19×	`distribute-lft-out`
14×	`add-cube-cbrt`
6×	`distribute-lft-out--` `difference-of-squares`
5×	`associate-/r` `associate-/l`
4×	`add-cbrt-cube` `add-exp-log` `add-log-exp`
2×	`pow1` `flip3-+` `div-sub` `associate-/r/` `flip-+` `insert-posit16` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `frac-2neg` `flip3--` `div-exp` `associate-+l-` `div-inv` `flip--`

Counts

2 → 67

Calls

2 calls:

47.0ms	(/ (- beta alpha) (+ (+ alpha beta) 2.0))
110.0ms	(+ (/ (- beta alpha) (+ (+ alpha beta) 2.0)) 1.0)

series155.0ms

Counts

2 → 6

Calls

2 calls:

66.0ms	(/ (- beta alpha) (+ (+ alpha beta) 2.0))
89.0ms	(+ (/ (- beta alpha) (+ (+ alpha beta) 2.0)) 1.0)

simplify1.1s

Counts

73 → 73

Iterations

Iter	Nodes
done	5000
2	1363
1	328
0	126

prune312.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 13.0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- (/ beta (+ (+ alpha beta) 2.0)) (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)) 2.0)
0.0b	(/ beta (+ (+ alpha beta) 2.0))
0.0b	(/ alpha (+ (+ alpha beta) 2.0))
1.5b	(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)

rewrite1.1s

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 141

Calls

4 calls:

890.0ms	(/ (- (/ beta (+ (+ alpha beta) 2.0)) (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)) 2.0)
31.0ms	(/ beta (+ (+ alpha beta) 2.0))
43.0ms	(/ alpha (+ (+ alpha beta) 2.0))
147.0ms	(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)

series348.0ms

Counts

4 → 12

Calls

4 calls:

88.0ms	(/ (- (/ beta (+ (+ alpha beta) 2.0)) (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)) 2.0)
68.0ms	(/ beta (+ (+ alpha beta) 2.0))
71.0ms	(/ alpha (+ (+ alpha beta) 2.0))
121.0ms	(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)

simplify1.7s

Counts

153 → 153

Iterations

Iter	Nodes
done	5002
2	2429
1	567
0	242

prune708.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 1.9b

localize61.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0))
1.5b	(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)
1.5b	(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)
1.5b	(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)

rewrite553.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
13×	`*-un-lft-identity`
10×	`add-log-exp`
8×	`difference-of-squares`
6×	`cbrt-prod`
5×	`add-cube-cbrt`
4×	`pow1` `times-frac` `flip3--` `add-cbrt-cube` `add-exp-log` `insert-posit16` `flip--` `distribute-lft-out--`
3×	`sub-neg` `diff-log`
2×	`cbrt-div`
1×	`pow1/3`

Counts

4 → 65

Calls

4 calls:

55.0ms	(cbrt (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0))
143.0ms	(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)
193.0ms	(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)
161.0ms	(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)

series556.0ms

Counts

4 → 12

Calls

4 calls:

193.0ms	(cbrt (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0))
132.0ms	(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)
126.0ms	(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)
104.0ms	(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)

simplify1.8s

Counts

77 → 77

Iterations

Iter	Nodes
done	5000
3	2850
2	708
1	264
0	122

prune539.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 1.9b

localize78.0ms

Local error

Found 4 expressions with local error:

0.6b	(log (exp (cbrt (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0))))
1.5b	(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)
1.5b	(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)
1.5b	(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)

rewrite710.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt`
15×	`*-un-lft-identity`
10×	`log-pow` `add-log-exp`
9×	`exp-prod`
8×	`difference-of-squares`
7×	`add-cube-cbrt`
6×	`cbrt-prod`
5×	`pow1`
4×	`times-frac` `add-cbrt-cube` `add-exp-log` `insert-posit16` `distribute-lft-out--`
3×	`log-prod` `sub-neg` `flip3--` `diff-log` `flip--`
1×	`rem-log-exp`

Counts

4 → 70

Calls

4 calls:

265.0ms	(log (exp (cbrt (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0))))
161.0ms	(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)
132.0ms	(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)
151.0ms	(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)

series555.0ms

Counts

4 → 12

Calls

4 calls:

226.0ms	(log (exp (cbrt (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0))))
118.0ms	(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)
109.0ms	(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)
102.0ms	(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)

simplify2.2s

Counts

82 → 82

Iterations

Iter	Nodes
done	5004
3	3038
2	759
1	292
0	145

prune619.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 1.9b

regimes288.0ms

Accuracy

97.9% (0.3b remaining)

Error of 3.1b against oracle of 2.9b and baseline of 15.5b

bsearch2.0ms

simplify9.0ms

Iterations

Iter	Nodes
done	35
1	35
0	33

end0.0ms

sample1.9s

Algorithm

intervals

Results

618.0ms	5874×	body	80	valid
398.0ms	830×	body	1280	valid
307.0ms	692×	body	640	valid
293.0ms	8000×	pre	80	true
95.0ms	390×	body	320	valid
42.0ms	214×	body	160	valid