Details

sample82.0ms

Algorithm

intervals

Results

20.0ms	181×	body	80	valid
18.0ms	31×	body	1280	valid
12.0ms	256×	pre	80	true
10.0ms	22×	body	640	valid
6.0ms	17×	body	320	valid
1.0ms	5×	body	160	valid

simplify1.3s

Counts

1 → 1

Iterations

Iter	Nodes
done	2002
18	2002
17	1763
16	1558
15	1364
14	1138
13	931
12	742
11	607
10	526
9	431
8	318
7	267
6	197
5	124
4	69
3	50
2	33
1	20
0	10

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.7b

localize24.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- beta alpha) (+ (+ alpha beta) 2.0))
1.4b	(+ (/ (- beta alpha) (+ (+ alpha beta) 2.0)) 1.0)

rewrite161.0ms

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))
120.0ms	(+ (/ (- beta alpha) (+ (+ alpha beta) 2.0)) 1.0)

series169.0ms

Counts

2 → 6

Calls

2 calls:

68.0ms	(/ (- beta alpha) (+ (+ alpha beta) 2.0))
100.0ms	(+ (/ (- beta alpha) (+ (+ alpha beta) 2.0)) 1.0)

simplify1.2s

Counts

73 → 73

Iterations

Iter	Nodes
done	2000
3	2000
2	1126
1	328
0	126

prune636.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 16.9b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ beta (+ (+ alpha beta) 2.0)) (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0))
0.0b	(/ beta (+ (+ alpha beta) 2.0))
0.0b	(/ alpha (+ (+ alpha beta) 2.0))
1.4b	(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)

rewrite620.0ms

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:

386.0ms	(- (/ beta (+ (+ alpha beta) 2.0)) (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0))
44.0ms	(/ beta (+ (+ alpha beta) 2.0))
43.0ms	(/ alpha (+ (+ alpha beta) 2.0))
143.0ms	(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)

series332.0ms

Counts

4 → 12

Calls

4 calls:

88.0ms	(- (/ beta (+ (+ alpha beta) 2.0)) (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0))
51.0ms	(/ beta (+ (+ alpha beta) 2.0))
62.0ms	(/ alpha (+ (+ alpha beta) 2.0))
131.0ms	(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)

simplify1.4s

Counts

127 → 127

Iterations

Iter	Nodes
done	2008
3	2008
2	1554
1	467
0	197

prune1.4s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 3.2b

localize37.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ beta (+ (+ alpha beta) 2.0))
0.0b	(/ alpha (+ (+ alpha beta) 2.0))
1.4b	(log (exp (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)))
1.4b	(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)

rewrite590.0ms

Algorithm

rewrite-expression-head

Rules

70×	`*-un-lft-identity`
36×	`add-sqr-sqrt`
32×	`times-frac`
26×	`add-cube-cbrt`
24×	`distribute-lft-out`
10×	`associate-/r*`
8×	`add-cbrt-cube` `add-exp-log`
7×	`log-pow`
6×	`exp-prod` `associate-/l*` `add-log-exp`
5×	`pow1` `log-prod`
4×	`associate-/r/` `insert-posit16` `difference-of-squares`
2×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `flip3-+` `div-exp` `exp-sum` `flip-+` `div-inv` `distribute-lft-out--`
1×	`log-div` `flip3--` `exp-diff` `diff-log` `rem-log-exp` `flip--`

Counts

4 → 114

Calls

4 calls:

44.0ms	(/ beta (+ (+ alpha beta) 2.0))
43.0ms	(/ alpha (+ (+ alpha beta) 2.0))
353.0ms	(log (exp (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)))
146.0ms	(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)

series347.0ms

Counts

4 → 12

Calls

4 calls:

69.0ms	(/ beta (+ (+ alpha beta) 2.0))
79.0ms	(/ alpha (+ (+ alpha beta) 2.0))
94.0ms	(log (exp (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)))
104.0ms	(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)

simplify1.1s

Counts

126 → 126

Iterations

Iter	Nodes
done	2035
3	2035
2	1141
1	400
0	186

prune1.3s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 3.2b

localize41.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ alpha (+ (+ alpha beta) 2.0))
0.3b	(/ 1 (/ (+ (+ alpha beta) 2.0) beta))
1.4b	(log (exp (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)))
1.4b	(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)

rewrite964.0ms

Algorithm

rewrite-expression-head

Rules

156×	`*-un-lft-identity`
134×	`times-frac`
82×	`add-sqr-sqrt`
72×	`add-cube-cbrt`
48×	`distribute-lft-out`
24×	`associate-/r*`
17×	`add-exp-log`
11×	`add-cbrt-cube`
8×	`div-exp`
7×	`log-pow`
6×	`pow1` `exp-prod` `div-inv` `associate-/l*` `add-log-exp`
5×	`log-prod`
4×	`cbrt-undiv` `insert-posit16` `difference-of-squares`
3×	`associate-/r/`
2×	`rec-exp` `clear-num` `sub-neg` `frac-2neg` `1-exp` `exp-sum` `distribute-lft-out--`
1×	`log-div` `flip3-+` `flip3--` `exp-diff` `diff-log` `rem-log-exp` `flip-+` `pow-flip` `flip--` `inv-pow`

Counts

4 → 177

Calls

4 calls:

34.0ms	(/ alpha (+ (+ alpha beta) 2.0))
28.0ms	(/ 1 (/ (+ (+ alpha beta) 2.0) beta))
354.0ms	(log (exp (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)))
542.0ms	(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)

series362.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(/ alpha (+ (+ alpha beta) 2.0))
89.0ms	(/ 1 (/ (+ (+ alpha beta) 2.0) beta))
97.0ms	(log (exp (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)))
109.0ms	(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)

simplify1.2s

Counts

189 → 189

Iterations

Iter	Nodes
done	2006
3	2006
2	1608
1	643
0	274

prune2.2s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 3.2b

regimes202.0ms

Accuracy

76.4% (2.9b remaining)

Error of 5.9b against oracle of 3.0b and baseline of 15.4b

bsearch77.0ms

Steps

Iters	Range		Point
10	6.514984457143025e-07	5726404821.427287	536060982.7574347

simplify5.0ms

Iterations

Iter	Nodes
done	31
1	31
0	27

end0.0ms

sample2.1s

Algorithm

intervals

Results

602.0ms	5880×	body	80	valid
491.0ms	837×	body	1280	valid
382.0ms	8000×	pre	80	true
268.0ms	713×	body	640	valid
121.0ms	371×	body	320	valid
36.0ms	199×	body	160	valid