Details

sample485.0ms

Algorithm

intervals

Results

197.0ms	256×	body	80	valid
90.0ms	256×	pre	80	true

simplify2.1s

Counts

1 → 1

Iterations

Iter	Nodes
done	2190
6	2190
5	1530
4	489
3	158
2	71
1	36
0	18

prune19.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize62.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 0.5 (* (cos (* 2 (* PI u2))) (* 1/6 (pow (* -2 (log u1)) 0.5))))
0.2b	(pow (* -2 (log u1)) 0.5)
0.2b	(* PI u2)
0.4b	(* 1/6 (pow (* -2 (log u1)) 0.5))

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-exp-log`
14×	`add-sqr-sqrt`
9×	`pow1` `*-un-lft-identity` `add-cube-cbrt`
8×	`add-cbrt-cube` `associate-r`
7×	`prod-exp`
6×	`associate-l` `add-log-exp`
4×	`pow-exp` `insert-posit16`
3×	`pow-unpow` `unswap-sqr` `sqr-pow`
2×	`pow-to-exp` `unpow-prod-down` `pow-pow` `pow-prod-down` `*-commutative` `cbrt-unprod`
1×	`+-commutative` `sum-log` `flip3-+` `flip-+`

Counts

4 → 73

Calls

4 calls:

24.0ms	(+ 0.5 (* (cos (* 2 (* PI u2))) (* 1/6 (pow (* -2 (log u1)) 0.5))))
9.0ms	(pow (* -2 (log u1)) 0.5)
10.0ms	(* PI u2)
21.0ms	(* 1/6 (pow (* -2 (log u1)) 0.5))

series2.1s

Counts

4 → 12

Calls

4 calls:

515.0ms	(+ 0.5 (* (cos (* 2 (* PI u2))) (* 1/6 (pow (* -2 (log u1)) 0.5))))
414.0ms	(pow (* -2 (log u1)) 0.5)
35.0ms	(* PI u2)
1.1s	(* 1/6 (pow (* -2 (log u1)) 0.5))

simplify1.4s

Counts

85 → 85

Iterations

Iter	Nodes
done	2000
3	2000
2	1216
1	425
0	164

prune669.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize80.0ms

Local error

Found 4 expressions with local error:

0.2b	(pow (* -2 (log u1)) 0.5)
0.2b	(* (sqrt 1/6) (* (sqrt 1/6) (pow (* -2 (log u1)) 0.5)))
0.2b	(* PI u2)
0.3b	(* (sqrt 1/6) (pow (* -2 (log u1)) 0.5))

rewrite107.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-exp-log`
20×	`add-sqr-sqrt`
17×	`prod-exp`
15×	`associate-l`
13×	`add-cbrt-cube`
12×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`associate-r`
8×	`sqrt-prod`
6×	`pow-exp`
5×	`cbrt-unprod` `unswap-sqr`
4×	`insert-posit16` `add-log-exp` `sqr-pow`
3×	`pow-to-exp` `pow-unpow` `pow-prod-down` `*-commutative`
2×	`unpow-prod-down` `pow-pow`

Counts

4 → 90

Calls

4 calls:

14.0ms	(pow (* -2 (log u1)) 0.5)
55.0ms	(* (sqrt 1/6) (* (sqrt 1/6) (pow (* -2 (log u1)) 0.5)))
11.0ms	(* PI u2)
25.0ms	(* (sqrt 1/6) (pow (* -2 (log u1)) 0.5))

series2.8s

Counts

4 → 12

Calls

4 calls:

401.0ms	(pow (* -2 (log u1)) 0.5)
1.2s	(* (sqrt 1/6) (* (sqrt 1/6) (pow (* -2 (log u1)) 0.5)))
37.0ms	(* PI u2)
1.2s	(* (sqrt 1/6) (pow (* -2 (log u1)) 0.5))

simplify1.7s

Counts

102 → 102

Iterations

Iter	Nodes
done	2034
3	2034
2	978
1	352
0	145

prune765.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize72.0ms

Local error

Found 4 expressions with local error:

0.1b	(pow (* -2 (log u1)) (/ 0.5 2))
0.2b	(* PI u2)
0.3b	(* (* 1/6 (pow (* -2 (log u1)) (/ 0.5 2))) (pow (* -2 (log u1)) (/ 0.5 2)))
0.4b	(* 1/6 (pow (* -2 (log u1)) (/ 0.5 2)))

rewrite117.0ms

Algorithm

rewrite-expression-head

Rules

73×	`add-exp-log`
52×	`prod-exp`
22×	`pow-exp`
21×	`add-sqr-sqrt`
16×	`*-un-lft-identity` `add-cube-cbrt`
13×	`pow-unpow` `add-cbrt-cube` `associate-r`
11×	`pow-to-exp`
9×	`pow1` `times-frac`
7×	`associate-l`
5×	`cbrt-unprod`
4×	`insert-posit16` `add-log-exp` `sqr-pow`
3×	`unpow-prod-down` `*-commutative` `unswap-sqr`
2×	`pow-pow` `pow-prod-down`
1×	`div-inv`

Counts

4 → 108

Calls

4 calls:

12.0ms	(pow (* -2 (log u1)) (/ 0.5 2))
11.0ms	(* PI u2)
63.0ms	(* (* 1/6 (pow (* -2 (log u1)) (/ 0.5 2))) (pow (* -2 (log u1)) (/ 0.5 2)))
28.0ms	(* 1/6 (pow (* -2 (log u1)) (/ 0.5 2)))

series2.6s

Counts

4 → 12

Calls

4 calls:

383.0ms	(pow (* -2 (log u1)) (/ 0.5 2))
41.0ms	(* PI u2)
1.1s	(* (* 1/6 (pow (* -2 (log u1)) (/ 0.5 2))) (pow (* -2 (log u1)) (/ 0.5 2)))
1.1s	(* 1/6 (pow (* -2 (log u1)) (/ 0.5 2)))

simplify1.5s

Counts

120 → 120

Iterations

Iter	Nodes
done	2001
3	2001
2	1248
1	470
0	181

prune789.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize84.0ms

Local error

Found 4 expressions with local error:

0.1b	(pow (* -2 (log u1)) (/ 0.5 2))
0.2b	(* PI u2)
0.3b	(* (exp (+ (log 1/6) (* (log (* -2 (log u1))) (/ 0.5 2)))) (pow (* -2 (log u1)) (/ 0.5 2)))
2.2b	(+ (log 1/6) (* (log (* -2 (log u1))) (/ 0.5 2)))

rewrite161.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
16×	`*-un-lft-identity` `add-cube-cbrt`
13×	`pow-unpow` `add-exp-log`
9×	`pow1` `times-frac`
8×	`add-cbrt-cube` `associate-r`
7×	`associate-l` `prod-exp`
5×	`add-log-exp`
4×	`pow-exp` `insert-posit16`
3×	`associate-+l+` `log-prod` `unswap-sqr` `sqr-pow`
2×	`pow-to-exp` `unpow-prod-down` `pow-pow` `pow-prod-down` `*-commutative` `cbrt-unprod`
1×	`+-commutative` `sum-log` `flip3-+` `exp-sum` `flip-+` `div-inv`

Counts

4 → 87

Calls

4 calls:

6.0ms	(pow (* -2 (log u1)) (/ 0.5 2))
6.0ms	(* PI u2)
130.0ms	(* (exp (+ (log 1/6) (* (log (* -2 (log u1))) (/ 0.5 2)))) (pow (* -2 (log u1)) (/ 0.5 2)))
18.0ms	(+ (log 1/6) (* (log (* -2 (log u1))) (/ 0.5 2)))

series2.8s

Counts

4 → 12

Calls

4 calls:

436.0ms	(pow (* -2 (log u1)) (/ 0.5 2))
37.0ms	(* PI u2)
1.8s	(* (exp (+ (log 1/6) (* (log (* -2 (log u1))) (/ 0.5 2)))) (pow (* -2 (log u1)) (/ 0.5 2)))
563.0ms	(+ (log 1/6) (* (log (* -2 (log u1))) (/ 0.5 2)))

simplify1.4s

Counts

99 → 99

Iterations

Iter	Nodes
done	2000
3	2000
2	1396
1	478
0	187

prune943.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes507.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify7.0ms

Iterations

Iter	Nodes
done	25
1	25
0	18

end0.0ms

sample3.5s

Algorithm

intervals

Results

2.8s	8000×	body	80	valid
451.0ms	8000×	pre	80	true