Details

sample144.0ms

Algorithm

intervals

Results

44.0ms	256×	body	80	valid
9.0ms	256×	pre	80	true

simplify1.9s

Counts

1 → 1

Iterations

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

prune25.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (cos (* 2 (* PI u2))) (* 1/6 (pow (* -2 (log u1)) 0.5)))
0.2b	(pow (* -2 (log u1)) 0.5)
0.3b	(* PI u2)
0.4b	(* 1/6 (pow (* -2 (log u1)) 0.5))

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 82

Calls

4 calls:

57.0ms	(* (cos (* 2 (* PI u2))) (* 1/6 (pow (* -2 (log u1)) 0.5)))
10.0ms	(pow (* -2 (log u1)) 0.5)
8.0ms	(* PI u2)
12.0ms	(* 1/6 (pow (* -2 (log u1)) 0.5))

series1.9s

Counts

4 → 12

Calls

4 calls:

485.0ms	(* (cos (* 2 (* PI u2))) (* 1/6 (pow (* -2 (log u1)) 0.5)))
374.0ms	(pow (* -2 (log u1)) 0.5)
42.0ms	(* PI u2)
996.0ms	(* 1/6 (pow (* -2 (log u1)) 0.5))

simplify1.1s

Counts

94 → 94

Iterations

Iter	Nodes
done	2005
3	2005
2	1041
1	386
0	157

prune1.2s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize46.0ms

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

rewrite68.0ms

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:

10.0ms	(pow (* -2 (log u1)) 0.5)
34.0ms	(* (sqrt 1/6) (* (sqrt 1/6) (pow (* -2 (log u1)) 0.5)))
8.0ms	(* PI u2)
13.0ms	(* (sqrt 1/6) (pow (* -2 (log u1)) 0.5))

series2.6s

Counts

4 → 12

Calls

4 calls:

396.0ms	(pow (* -2 (log u1)) 0.5)
1.1s	(* (sqrt 1/6) (* (sqrt 1/6) (pow (* -2 (log u1)) 0.5)))
28.0ms	(* PI u2)
1.1s	(* (sqrt 1/6) (pow (* -2 (log u1)) 0.5))

simplify1.3s

Counts

102 → 102

Iterations

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

prune1.4s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize58.0ms

Local error

Found 4 expressions with local error:

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

rewrite99.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-sqr-sqrt`
24×	`add-exp-log`
21×	`pow1`
19×	`associate-l`
17×	`associate-r`
16×	`*-un-lft-identity` `add-cube-cbrt`
14×	`sqrt-prod`
12×	`add-cbrt-cube` `prod-exp`
10×	`unswap-sqr`
8×	`sqrt-pow1` `pow1/2`
6×	`sqr-pow`
5×	`pow-prod-up`
4×	`swap-sqr` `pow-prod-down` `pow-exp` `*-commutative` `cbrt-unprod` `insert-posit16` `add-log-exp`
3×	`pow-sqr`
2×	`pow-to-exp` `unpow-prod-down`
1×	`pow2` `rem-square-sqrt` `pow-plus` `sqrt-unprod`

Counts

4 → 116

Calls

4 calls:

7.0ms	(* PI u2)
24.0ms	(* (sqrt 1/6) (pow (* -2 (log u1)) 0.5))
13.0ms	(* (sqrt 1/6) (pow (* -2 (log u1)) 0.5))
54.0ms	(* (sqrt (* (sqrt 1/6) (pow (* -2 (log u1)) 0.5))) (sqrt (* (sqrt 1/6) (pow (* -2 (log u1)) 0.5))))

series3.0s

Counts

4 → 12

Calls

4 calls:

51.0ms	(* PI u2)
918.0ms	(* (sqrt 1/6) (pow (* -2 (log u1)) 0.5))
1.1s	(* (sqrt 1/6) (pow (* -2 (log u1)) 0.5))
981.0ms	(* (sqrt (* (sqrt 1/6) (pow (* -2 (log u1)) 0.5))) (sqrt (* (sqrt 1/6) (pow (* -2 (log u1)) 0.5))))

simplify1.2s

Counts

128 → 128

Iterations

Iter	Nodes
done	2005
3	2005
2	812
1	311
0	147

prune2.3s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.1b	(pow (* -2 (log u1)) (/ 0.5 2))
0.3b	(* 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)))

rewrite73.0ms

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:

6.0ms	(pow (* -2 (log u1)) (/ 0.5 2))
11.0ms	(* PI u2)
42.0ms	(* (* 1/6 (pow (* -2 (log u1)) (/ 0.5 2))) (pow (* -2 (log u1)) (/ 0.5 2)))
11.0ms	(* 1/6 (pow (* -2 (log u1)) (/ 0.5 2)))

series2.8s

Counts

4 → 12

Calls

4 calls:

467.0ms	(pow (* -2 (log u1)) (/ 0.5 2))
38.0ms	(* PI u2)
1.4s	(* (* 1/6 (pow (* -2 (log u1)) (/ 0.5 2))) (pow (* -2 (log u1)) (/ 0.5 2)))
976.0ms	(* 1/6 (pow (* -2 (log u1)) (/ 0.5 2)))

simplify1.4s

Counts

120 → 120

Iterations

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

prune1.6s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes354.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	25
1	25
0	18

end0.0ms

sample2.9s

Algorithm

intervals

Results

2.3s	8000×	body	80	valid
403.0ms	8000×	pre	80	true