Details

sample73.0ms

Algorithm

intervals

Results

32.0ms	63×	body	1280	valid
13.0ms	36×	body	640	valid
9.0ms	118×	body	80	valid
7.0ms	31×	body	320	valid
2.0ms	8×	body	160	valid

simplify1.6s

Counts

1 → 1

Iterations

Iter	Nodes
done	2002
8	2002
7	794
6	244
5	100
4	50
3	29
2	22
1	18
0	9

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 32.8b

localize16.0ms

Local error

Found 1 expressions with local error:

2.7b	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt`
5×	`*-un-lft-identity`
4×	`difference-of-squares`
3×	`times-frac` `add-log-exp`
2×	`difference-of-sqr-1`
1×	`pow1` `sub-neg` `flip3--` `add-cbrt-cube` `diff-log` `add-exp-log` `add-cube-cbrt` `insert-posit16` `flip--` `distribute-lft-out--`

Counts

1 → 20

Calls

1 calls:

54.0ms

(- (/ 2 (+ 1 (exp (* -2 x)))) 1)

series78.0ms

Counts

1 → 3

Calls

1 calls:

78.0ms

(- (/ 2 (+ 1 (exp (* -2 x)))) 1)

simplify1.3s

Counts

23 → 23

Iterations

Iter	Nodes
done	2001
5	2001
4	1425
3	609
2	282
1	133
0	58

prune89.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (pow x 5) 2/15)
0.1b	(* (* x x) x)
0.1b	(* (* (* x x) x) 1/3)
16.2b	(+ (- x (* (* (* x x) x) 1/3)) (* (pow x 5) 2/15))

rewrite128.0ms

Algorithm

rewrite-expression-head

Rules

32×	`pow1`
23×	`add-exp-log`
20×	`add-cbrt-cube`
15×	`add-sqr-sqrt`
12×	`prod-exp`
10×	`cbrt-unprod`
9×	`-un-lft-identity` `associate-r` `associate-l*` `pow-prod-down` `add-cube-cbrt` `add-log-exp`
6×	`pow-plus` `pow-prod-up`
4×	`unpow-prod-down` `insert-posit16` `unswap-sqr`
3×	`*-commutative`
2×	`pow2` `associate-+l+` `sum-log` `pow-sqr` `sqr-pow`
1×	`pow-to-exp` `+-commutative` `sub-neg` `flip3-+` `diff-log` `pow3` `pow-exp` `associate-+l-` `flip-+`

Counts

4 → 93

Calls

4 calls:

8.0ms	(* (pow x 5) 2/15)
20.0ms	(* (* x x) x)
80.0ms	(* (* (* x x) x) 1/3)
18.0ms	(+ (- x (* (* (* x x) x) 1/3)) (* (pow x 5) 2/15))

series257.0ms

Counts

4 → 12

Calls

4 calls:

98.0ms	(* (pow x 5) 2/15)
43.0ms	(* (* x x) x)
52.0ms	(* (* (* x x) x) 1/3)
64.0ms	(+ (- x (* (* (* x x) x) 1/3)) (* (pow x 5) 2/15))

simplify1.2s

Counts

105 → 105

Iterations

Iter	Nodes
done	2004
3	2004
2	1000
1	332
0	133

prune370.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize32.0ms

Local error

Found 2 expressions with local error:

2.7b	(log (exp (- (/ 2 (+ 1 (exp (* -2 x)))) 1)))
2.7b	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)

rewrite193.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 46

Calls

2 calls:

127.0ms	(log (exp (- (/ 2 (+ 1 (exp (* -2 x)))) 1)))
65.0ms	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)

series155.0ms

Counts

2 → 6

Calls

2 calls:

77.0ms	(log (exp (- (/ 2 (+ 1 (exp (* -2 x)))) 1)))
78.0ms	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)

simplify1.2s

Counts

52 → 52

Iterations

Iter	Nodes
done	2016
5	2016
4	1397
3	624
2	350
1	184
0	90

prune254.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes343.0ms

Accuracy

98.9% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 31.0b

bsearch1.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	38
1	38
0	27

end0.0ms

sample2.4s

Algorithm

intervals

Results

1.2s	1715×	body	1280	valid
454.0ms	1250×	body	640	valid
348.0ms	4079×	body	80	valid
161.0ms	622×	body	320	valid
59.0ms	334×	body	160	valid