Details

sample73.0ms

Algorithm

intervals

Results

18.0ms	182×	body	80	valid
16.0ms	30×	body	1280	valid
11.0ms	256×	pre	80	true
10.0ms	26×	body	640	valid
2.0ms	10×	body	320	valid
1.0ms	8×	body	160	valid

simplify520.0ms

Counts

1 → 1

Iterations

Iter	Nodes
14	436
13	436
12	429
11	413
10	371
9	335
8	298
7	262
6	231
5	171
4	121
3	88
2	61
1	40
0	10

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.6b

localize33.0ms

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)

rewrite129.0ms

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:

35.0ms	(/ (- beta alpha) (+ (+ alpha beta) 2.0))
92.0ms	(+ (/ (- beta alpha) (+ (+ alpha beta) 2.0)) 1.0)

series144.0ms

Counts

2 → 6

Calls

2 calls:

58.0ms	(/ (- beta alpha) (+ (+ alpha beta) 2.0))
86.0ms	(+ (/ (- beta alpha) (+ (+ alpha beta) 2.0)) 1.0)

simplify1.1s

Counts

73 → 73

Iterations

Iter	Nodes
3	3709
2	1347
1	556
0	126

prune700.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 16.7b

localize37.0ms

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)

rewrite604.0ms

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:

363.0ms	(- (/ beta (+ (+ alpha beta) 2.0)) (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0))
27.0ms	(/ alpha (+ (+ alpha beta) 2.0))
42.0ms	(/ beta (+ (+ alpha beta) 2.0))
170.0ms	(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)

series323.0ms

Counts

4 → 12

Calls

4 calls:

86.0ms	(- (/ beta (+ (+ alpha beta) 2.0)) (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0))
65.0ms	(/ alpha (+ (+ alpha beta) 2.0))
60.0ms	(/ beta (+ (+ alpha beta) 2.0))
112.0ms	(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)

simplify1.9s

Counts

127 → 127

Iterations

Iter	Nodes
3	5422
2	1747
1	800
0	197

prune1.3s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 4.1b

localize84.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt (+ (+ alpha beta) 2.0))
0.7b	(cbrt (+ (+ alpha beta) 2.0))
0.7b	(cbrt (+ (+ alpha beta) 2.0))
2.0b	(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)

rewrite210.0ms

Algorithm

rewrite-expression-head

Rules

24×	`*-un-lft-identity`
15×	`cbrt-prod`
12×	`add-sqr-sqrt`
9×	`distribute-lft-out`
7×	`add-cube-cbrt`
6×	`cbrt-div` `add-log-exp`
4×	`pow1` `add-cbrt-cube` `add-exp-log` `insert-posit16`
3×	`flip3-+` `pow1/3` `flip-+`
2×	`difference-of-squares`
1×	`sub-neg` `times-frac` `flip3--` `diff-log` `flip--` `distribute-lft-out--`

Counts

4 → 64

Calls

4 calls:

20.0ms	(cbrt (+ (+ alpha beta) 2.0))
19.0ms	(cbrt (+ (+ alpha beta) 2.0))
18.0ms	(cbrt (+ (+ alpha beta) 2.0))
151.0ms	(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)

series518.0ms

Counts

4 → 12

Calls

4 calls:

140.0ms	(cbrt (+ (+ alpha beta) 2.0))
121.0ms	(cbrt (+ (+ alpha beta) 2.0))
150.0ms	(cbrt (+ (+ alpha beta) 2.0))
107.0ms	(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)

simplify935.0ms

Counts

76 → 76

Iterations

Iter	Nodes
3	2528
2	1028
1	520
0	122

prune1.1s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 4.1b

localize44.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ beta (+ (+ alpha beta) 2.0))
0.6b	(exp (log (- (/ beta (+ (+ alpha beta) 2.0)) (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0))))
2.0b	(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)
12.7b	(log (- (/ beta (+ (+ alpha beta) 2.0)) (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)))

rewrite724.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 99

Calls

4 calls:

34.0ms	(/ beta (+ (+ alpha beta) 2.0))
283.0ms	(exp (log (- (/ beta (+ (+ alpha beta) 2.0)) (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0))))
178.0ms	(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)
227.0ms	(log (- (/ beta (+ (+ alpha beta) 2.0)) (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)))

series455.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(/ beta (+ (+ alpha beta) 2.0))
90.0ms	(exp (log (- (/ beta (+ (+ alpha beta) 2.0)) (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0))))
100.0ms	(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)
201.0ms	(log (- (/ beta (+ (+ alpha beta) 2.0)) (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)))

simplify2.2s

Counts

111 → 111

Iterations

Iter	Nodes
3	5399
2	1773
1	832
0	215

prune1.2s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 4.1b

regimes195.0ms

Accuracy

76.7% (3.0b remaining)

Error of 6.0b against oracle of 3.0b and baseline of 15.8b

bsearch70.0ms

Steps

Iters	Range		Point
8	7435510907832.676	7.382109503871429e+16	8237268244209.631

simplify13.0ms

Iterations

Iter	Nodes
2	30
1	30
0	27

end0.0ms

sample2.0s

Algorithm

intervals

Results

527.0ms	5834×	body	80	valid
444.0ms	831×	body	1280	valid
356.0ms	8000×	pre	80	true
301.0ms	721×	body	640	valid
127.0ms	411×	body	320	valid
33.0ms	203×	body	160	valid

Iter	Nodes
14	436
13	436
12	429
11	413
10	371
9	335
8	298
7	262
6	231
5	171
4	121
3	88
2	61
1	40
0	10

Iter	Nodes
14	436
13	436
12	429
11	413
10	371
9	335
8	298
7	262
6	231
5	171
4	121
3	88
2	61
1	40
0	10

Iter	Nodes
14	436
13	436
12	429
11	413
10	371
9	335
8	298
7	262
6	231
5	171
4	121
3	88
2	61
1	40
0	10