Details

sample60.0ms

Algorithm

intervals

Results

15.0ms	182×	body	80	valid
9.0ms	26×	body	1280	valid
9.0ms	26×	body	640	valid
9.0ms	256×	pre	80	true
4.0ms	14×	body	320	valid
1.0ms	8×	body	160	valid

simplify2.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	3266
19	3266
18	3258
17	3238
16	3211
15	2704
14	2172
13	1910
12	1688
11	1244
10	666
9	436
8	319
7	275
6	214
5	136
4	73
3	52
2	34
1	20
0	10

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.5b

localize16.0ms

Local error

Found 2 expressions with local error:

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

rewrite135.0ms

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:

39.0ms	(/ (- beta alpha) (+ (+ alpha beta) 2.0))
95.0ms	(+ (/ (- beta alpha) (+ (+ alpha beta) 2.0)) 1.0)

series165.0ms

Counts

2 → 6

Calls

2 calls:

81.0ms	(/ (- beta alpha) (+ (+ alpha beta) 2.0))
84.0ms	(+ (/ (- beta alpha) (+ (+ alpha beta) 2.0)) 1.0)

simplify906.0ms

Counts

73 → 73

Iterations

Iter	Nodes
done	5001
2	1146
1	328
0	126

prune261.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 16.7b

localize27.0ms

Local error

Found 4 expressions with local error:

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

rewrite539.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 115

Calls

4 calls:

357.0ms	(- (/ beta (+ (+ alpha beta) 2.0)) (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0))
30.0ms	(/ alpha (+ (+ alpha beta) 2.0))
23.0ms	(/ beta (+ (+ alpha beta) 2.0))
128.0ms	(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)

series329.0ms

Counts

4 → 12

Calls

4 calls:

82.0ms	(- (/ beta (+ (+ alpha beta) 2.0)) (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0))
61.0ms	(/ alpha (+ (+ alpha beta) 2.0))
62.0ms	(/ beta (+ (+ alpha beta) 2.0))
123.0ms	(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)

simplify1.6s

Counts

127 → 127

Iterations

Iter	Nodes
done	5000
2	1624
1	467
0	197

prune647.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 3.1b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ alpha (+ (+ alpha beta) 2.0))
0.0b	(/ 1 (+ (+ alpha beta) 2.0))
0.1b	(* beta (/ 1 (+ (+ alpha beta) 2.0)))
2.0b	(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)

rewrite270.0ms

Algorithm

rewrite-expression-head

Rules

92×	`*-un-lft-identity`
48×	`times-frac`
46×	`add-sqr-sqrt`
34×	`add-cube-cbrt`
33×	`distribute-lft-out`
21×	`associate-r`
19×	`add-exp-log`
13×	`add-cbrt-cube`
10×	`associate-/r*`
7×	`pow1`
6×	`associate-/r/` `associate-/l*` `add-log-exp`
5×	`div-exp`
4×	`prod-exp` `insert-posit16`
3×	`cbrt-undiv` `flip3-+` `associate-l` `flip-+` `div-inv` `unswap-sqr`
2×	`rec-exp` `clear-num` `frac-2neg` `1-exp` `cbrt-unprod` `difference-of-squares`
1×	`sub-neg` `flip3--` `diff-log` `pow-prod-down` `associate-r/` `un-div-inv` `-commutative` `pow-flip` `flip--` `distribute-lft-out--` `inv-pow`

Counts

4 → 141

Calls

4 calls:

27.0ms	(/ alpha (+ (+ alpha beta) 2.0))
46.0ms	(/ 1 (+ (+ alpha beta) 2.0))
88.0ms	(* beta (/ 1 (+ (+ alpha beta) 2.0)))
107.0ms	(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)

series298.0ms

Counts

4 → 12

Calls

4 calls:

69.0ms	(/ alpha (+ (+ alpha beta) 2.0))
44.0ms	(/ 1 (+ (+ alpha beta) 2.0))
71.0ms	(* beta (/ 1 (+ (+ alpha beta) 2.0)))
115.0ms	(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)

simplify1.3s

Counts

153 → 153

Iterations

Iter	Nodes
done	5001
2	1491
1	470
0	197

prune576.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 3.1b

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (+ (+ alpha beta) 2.0))
0.1b	(* beta (/ 1 (+ (+ alpha beta) 2.0)))
2.0b	(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)
2.0b	(log (exp (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)))

rewrite538.0ms

Algorithm

rewrite-expression-head

Rules

66×	`*-un-lft-identity`
43×	`add-sqr-sqrt`
34×	`times-frac`
26×	`add-cube-cbrt`
21×	`associate-r` `distribute-lft-out`
17×	`add-exp-log`
11×	`add-cbrt-cube`
8×	`pow1`
7×	`log-pow`
6×	`exp-prod` `add-log-exp`
5×	`log-prod` `associate-/r*`
4×	`div-exp` `prod-exp` `associate-/r/` `insert-posit16` `difference-of-squares`
3×	`associate-l` `associate-/l*` `unswap-sqr`
2×	`cbrt-undiv` `rec-exp` `sub-neg` `flip3-+` `1-exp` `exp-sum` `cbrt-unprod` `flip-+` `div-inv` `distribute-lft-out--`
1×	`log-div` `clear-num` `frac-2neg` `flip3--` `exp-diff` `diff-log` `rem-log-exp` `pow-prod-down` `associate-r/` `un-div-inv` `-commutative` `pow-flip` `flip--` `inv-pow`

Counts

4 → 125

Calls

4 calls:

23.0ms	(/ 1 (+ (+ alpha beta) 2.0))
68.0ms	(* beta (/ 1 (+ (+ alpha beta) 2.0)))
113.0ms	(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)
330.0ms	(log (exp (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)))

series314.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(/ 1 (+ (+ alpha beta) 2.0))
55.0ms	(* beta (/ 1 (+ (+ alpha beta) 2.0)))
83.0ms	(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)
110.0ms	(log (exp (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)))

simplify1.4s

Counts

137 → 137

Iterations

Iter	Nodes
done	5000
2	1345
1	458
0	192

prune681.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 3.1b

regimes162.0ms

Accuracy

75.9% (3.0b remaining)

Error of 6.0b against oracle of 3.0b and baseline of 15.4b

bsearch83.0ms

Steps

Iters	Range		Point
8	28342861701.492744	542402004696104.94	11629067263522.379

simplify12.0ms

Iterations

Iter	Nodes
done	38
1	38
0	31

end0.0ms

sample2.5s

Algorithm

intervals

Results

626.0ms	5886×	body	80	valid
520.0ms	373×	body	320	valid
379.0ms	817×	body	1280	valid
374.0ms	732×	body	640	valid
339.0ms	8000×	pre	80	true
68.0ms	192×	body	160	valid