Details

sample100.0ms

Algorithm

intervals

Results

35.0ms	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

simplify574.0ms

Counts

1 → 1

Iterations

Iter	Nodes
15	445
14	445
13	442
12	437
11	416
10	364
9	276
8	211
7	186
6	152
5	112
4	69
3	50
2	33
1	20
0	10

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.7b

localize38.0ms

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)

rewrite207.0ms

Algorithm

rewrite-expression-head

Rules

104×	`*-un-lft-identity`
50×	`times-frac`
47×	`add-sqr-sqrt`
34×	`distribute-lft-out`
31×	`fma-def`
25×	`add-cube-cbrt`
11×	`distribute-lft-out--` `difference-of-squares`
5×	`associate-/r` `associate-/l`
4×	`add-cbrt-cube` `add-exp-log` `associate-/r/` `add-log-exp`
3×	`flip3-+` `flip-+`
2×	`expm1-log1p-u` `pow1` `div-sub` `insert-posit16` `log1p-expm1-u` `div-inv` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `frac-2neg` `flip3--` `div-exp` `associate-+l-` `flip--`

Counts

2 → 102

Calls

2 calls:

39.0ms	(/ (- beta alpha) (+ (+ alpha beta) 2.0))
165.0ms	(+ (/ (- beta alpha) (+ (+ alpha beta) 2.0)) 1.0)

series165.0ms

Counts

2 → 6

Calls

2 calls:

72.0ms	(/ (- beta alpha) (+ (+ alpha beta) 2.0))
92.0ms	(+ (/ (- beta alpha) (+ (+ alpha beta) 2.0)) 1.0)

simplify1.3s

Counts

108 → 108

Iterations

Iter	Nodes
3	3331
2	1010
1	340
0	130

prune1.5s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 16.9b

localize19.0ms

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)

rewrite735.0ms

Algorithm

rewrite-expression-head

Rules

512×	`*-un-lft-identity`
328×	`add-sqr-sqrt`
263×	`times-frac`
252×	`prod-diff`
213×	`add-cube-cbrt`
150×	`distribute-lft-out`
65×	`associate--r+`
46×	`difference-of-squares`
42×	`fma-neg`
32×	`associate-/r/`
25×	`distribute-lft-out--`
16×	`flip3-+` `flip-+` `div-inv`
11×	`add-log-exp`
10×	`associate-/r*`
8×	`add-cbrt-cube` `add-exp-log`
6×	`associate-/l*`
4×	`expm1-log1p-u` `pow1` `diff-log` `insert-posit16` `log1p-expm1-u`
3×	`sub-neg` `flip3--` `flip--`
2×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `frac-sub`
1×	`associate--r-`

Counts

4 → 417

Calls

4 calls:

511.0ms	(- (/ beta (+ (+ alpha beta) 2.0)) (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0))
35.0ms	(/ beta (+ (+ alpha beta) 2.0))
24.0ms	(/ alpha (+ (+ alpha beta) 2.0))
154.0ms	(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)

series323.0ms

Counts

4 → 12

Calls

4 calls:

89.0ms	(- (/ beta (+ (+ alpha beta) 2.0)) (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0))
63.0ms	(/ beta (+ (+ alpha beta) 2.0))
78.0ms	(/ alpha (+ (+ alpha beta) 2.0))
93.0ms	(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)

simplify1.1s

Counts

429 → 429

Iterations

Iter	Nodes
2	2435
1	967
0	406

prune5.4s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 3.2b

localize25.0ms

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)

rewrite617.0ms

Algorithm

rewrite-expression-head

Rules

280×	`*-un-lft-identity`
141×	`add-sqr-sqrt`
137×	`times-frac`
131×	`add-cube-cbrt`
126×	`prod-diff`
87×	`distribute-lft-out`
68×	`log-prod`
65×	`exp-sum`
21×	`fma-neg`
18×	`associate-/r/`
10×	`associate-/r*`
9×	`flip3-+` `flip-+` `div-inv`
8×	`add-cbrt-cube` `add-exp-log`
7×	`log-pow`
6×	`exp-prod` `associate-/l*` `add-log-exp`
5×	`pow1`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `difference-of-squares`
2×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `div-exp` `distribute-lft-out--`
1×	`log-div` `flip3--` `exp-diff` `diff-log` `rem-log-exp` `flip--`

Counts

4 → 269

Calls

4 calls:

22.0ms	(/ beta (+ (+ alpha beta) 2.0))
35.0ms	(/ alpha (+ (+ alpha beta) 2.0))
377.0ms	(log (exp (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)))
177.0ms	(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)

series399.0ms

Counts

4 → 12

Calls

4 calls:

78.0ms	(/ beta (+ (+ alpha beta) 2.0))
81.0ms	(/ alpha (+ (+ alpha beta) 2.0))
134.0ms	(log (exp (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)))
106.0ms	(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)

simplify1.9s

Counts

281 → 281

Iterations

Iter	Nodes
3	4184
2	1422
1	640
0	352

prune3.4s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 3.2b

localize56.0ms

Local error

Found 4 expressions with local error:

1.4b	(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)
7.6b	(cbrt (/ beta (+ (+ alpha beta) 2.0)))
7.6b	(cbrt (/ beta (+ (+ alpha beta) 2.0)))
7.6b	(cbrt (/ beta (+ (+ alpha beta) 2.0)))

rewrite232.0ms

Algorithm

rewrite-expression-head

Rules

195×	`*-un-lft-identity`
106×	`times-frac`
93×	`add-sqr-sqrt`
88×	`add-cube-cbrt`
63×	`cbrt-prod` `prod-diff` `distribute-lft-out`
21×	`fma-neg`
14×	`associate-/r/`
7×	`flip3-+` `flip-+` `div-inv`
6×	`add-log-exp`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u`
3×	`cbrt-div` `pow1/3`
2×	`difference-of-squares`
1×	`sub-neg` `flip3--` `diff-log` `flip--` `distribute-lft-out--`

Counts

4 → 201

Calls

4 calls:

177.0ms	(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)
11.0ms	(cbrt (/ beta (+ (+ alpha beta) 2.0)))
19.0ms	(cbrt (/ beta (+ (+ alpha beta) 2.0)))
22.0ms	(cbrt (/ beta (+ (+ alpha beta) 2.0)))

series701.0ms

Counts

4 → 12

Calls

4 calls:

112.0ms	(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)
183.0ms	(cbrt (/ beta (+ (+ alpha beta) 2.0)))
195.0ms	(cbrt (/ beta (+ (+ alpha beta) 2.0)))
211.0ms	(cbrt (/ beta (+ (+ alpha beta) 2.0)))

simplify1.5s

Counts

213 → 213

Iterations

Iter	Nodes
3	3616
2	1201
1	510
0	243

prune2.7s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 3.2b

regimes223.0ms

Accuracy

99.2% (0.1b remaining)

Error of 3.1b against oracle of 3.0b and baseline of 15.5b

bsearch2.0ms

simplify5.0ms

Iterations

Iter	Nodes
2	32
1	32
0	29

end0.0ms

sample2.4s

Algorithm

intervals

Results

826.0ms	837×	body	1280	valid
617.0ms	5880×	body	80	valid
360.0ms	8000×	pre	80	true
289.0ms	713×	body	640	valid
97.0ms	371×	body	320	valid
36.0ms	199×	body	160	valid

Iter	Nodes
15	445
14	445
13	442
12	437
11	416
10	364
9	276
8	211
7	186
6	152
5	112
4	69
3	50
2	33
1	20
0	10

Iter	Nodes
15	445
14	445
13	442
12	437
11	416
10	364
9	276
8	211
7	186
6	152
5	112
4	69
3	50
2	33
1	20
0	10

Iter	Nodes
15	445
14	445
13	442
12	437
11	416
10	364
9	276
8	211
7	186
6	152
5	112
4	69
3	50
2	33
1	20
0	10