Details

sample234.0ms

Algorithm

intervals

Results

74.0ms	256×	body	80	valid
16.0ms	256×	pre	80	true

simplify3.5s

Counts: 1 → 1

prune29.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize43.0ms

Local error

Found 4 expressions with local error:

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

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 73

Calls

4 calls:

Slowest

24.0ms	(* 1/6 (pow (* -2 (log u1)) 0.5))
19.0ms	(+ 0.5 (* (* 1/6 (pow (* -2 (log u1)) 0.5)) (cos (* u2 (* 2 PI)))))
17.0ms	(* u2 (* 2 PI))
6.0ms	(pow (* -2 (log u1)) 0.5)

series2.0s

Counts

4 → 12

Calls

4 calls:

Slowest

940.0ms	(* 1/6 (pow (* -2 (log u1)) 0.5))
637.0ms	(+ 0.5 (* (* 1/6 (pow (* -2 (log u1)) 0.5)) (cos (* u2 (* 2 PI)))))
362.0ms	(pow (* -2 (log u1)) 0.5)
61.0ms	(* u2 (* 2 PI))

simplify2.1s

Counts: 85 → 85

prune1.3s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize71.0ms

Local error

Found 4 expressions with local error:

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

rewrite92.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-exp-log`
19×	`prod-exp`
17×	`add-sqr-sqrt`
16×	`add-cbrt-cube`
15×	`associate-l`
14×	`pow1`
11×	`*-un-lft-identity` `add-cube-cbrt`
8×	`sqrt-prod`
7×	`associate-r` `cbrt-unprod`
6×	`pow-exp`
5×	`pow-prod-down`
4×	`insert-posit16` `add-log-exp` `unswap-sqr` `sqr-pow`
3×	`pow-to-exp` `pow-unpow` `*-commutative`
2×	`unpow-prod-down` `pow-pow`

Counts

4 → 90

Calls

4 calls:

Slowest

43.0ms	(* (sqrt 1/6) (* (sqrt 1/6) (pow (* -2 (log u1)) 0.5)))
25.0ms	(* (sqrt 1/6) (pow (* -2 (log u1)) 0.5))
14.0ms	(* u2 (* 2 PI))
8.0ms	(pow (* -2 (log u1)) 0.5)

series2.9s

Counts

4 → 12

Calls

4 calls:

Slowest

1.5s	(* (sqrt 1/6) (pow (* -2 (log u1)) 0.5))
950.0ms	(* (sqrt 1/6) (* (sqrt 1/6) (pow (* -2 (log u1)) 0.5)))
383.0ms	(pow (* -2 (log u1)) 0.5)
48.0ms	(* u2 (* 2 PI))

simplify1.3s

Counts: 102 → 102

prune1.6s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize96.0ms

Local error

Found 4 expressions with local error:

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

rewrite356.0ms

Algorithm

rewrite-expression-head

Rules

202×	`add-exp-log`
166×	`prod-exp`
46×	`add-cbrt-cube`
43×	`pow1`
29×	`cbrt-unprod`
28×	`pow-exp`
23×	`add-sqr-sqrt`
17×	`*-un-lft-identity` `pow-prod-down` `add-cube-cbrt`
14×	`pow-to-exp`
12×	`times-frac`
11×	`associate-r`
7×	`associate-l`
4×	`pow-sqr` `pow-prod-up` `insert-posit16` `associate-/l*` `add-log-exp` `difference-of-squares` `unswap-sqr` `sqr-pow`
3×	`associate-/r` `-commutative`
2×	`unpow-prod-down` `pow-plus` `flip3--` `associate-/r/` `flip--` `associate-/l/`
1×	`pow2` `cbrt-undiv` `clear-num` `frac-2neg` `div-sub` `swap-sqr` `div-exp` `div-inv`

Counts

4 → 157

Calls

4 calls:

Slowest

277.0ms	(* (* (* 1/6 (pow (* -2 (log u1)) 0.5)) (cos (* u2 (* 2 PI)))) (* (* 1/6 (pow (* -2 (log u1)) 0.5)) (cos (* u2 (* 2 PI)))))
31.0ms	(/ (- (* 0.5 0.5) (* (* (* 1/6 (pow (* -2 (log u1)) 0.5)) (cos (* u2 (* 2 PI)))) (* (* 1/6 (pow (* -2 (log u1)) 0.5)) (cos (* u2 (* 2 PI)))))) (- 0.5 (* (* 1/6 (pow (* -2 (log u1)) 0.5)) (cos (* u2 (* 2 PI))))))
21.0ms	(* 1/6 (pow (* -2 (log u1)) 0.5))
21.0ms	(* 1/6 (pow (* -2 (log u1)) 0.5))

series3.9s

Counts

4 → 12

Calls

4 calls:

Slowest

1.1s	(* 1/6 (pow (* -2 (log u1)) 0.5))
1.0s	(/ (- (* 0.5 0.5) (* (* (* 1/6 (pow (* -2 (log u1)) 0.5)) (cos (* u2 (* 2 PI)))) (* (* 1/6 (pow (* -2 (log u1)) 0.5)) (cos (* u2 (* 2 PI)))))) (- 0.5 (* (* 1/6 (pow (* -2 (log u1)) 0.5)) (cos (* u2 (* 2 PI))))))
1.0s	(* 1/6 (pow (* -2 (log u1)) 0.5))
722.0ms	(* (* (* 1/6 (pow (* -2 (log u1)) 0.5)) (cos (* u2 (* 2 PI)))) (* (* 1/6 (pow (* -2 (log u1)) 0.5)) (cos (* u2 (* 2 PI)))))

simplify1.7s

Counts: 169 → 169

prune2.8s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize73.0ms

Local error

Found 4 expressions with local error:

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

rewrite122.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 92

Calls

4 calls:

Slowest

38.0ms	(* (* 1/6 (pow (* -2 (log u1)) (/ 0.5 2))) (pow (* -2 (log u1)) (/ 0.5 2)))
30.0ms	(+ 0.5 (* (* (* 1/6 (pow (* -2 (log u1)) (/ 0.5 2))) (pow (* -2 (log u1)) (/ 0.5 2))) (cos (* u2 (* 2 PI)))))
26.0ms	(* u2 (* 2 PI))
23.0ms	(* 1/6 (pow (* -2 (log u1)) (/ 0.5 2)))

series2.8s

Counts

4 → 12

Calls

4 calls:

Slowest

1.0s	(* (* 1/6 (pow (* -2 (log u1)) (/ 0.5 2))) (pow (* -2 (log u1)) (/ 0.5 2)))
1.0s	(* 1/6 (pow (* -2 (log u1)) (/ 0.5 2)))
735.0ms	(+ 0.5 (* (* (* 1/6 (pow (* -2 (log u1)) (/ 0.5 2))) (pow (* -2 (log u1)) (/ 0.5 2))) (cos (* u2 (* 2 PI)))))
35.0ms	(* u2 (* 2 PI))

simplify3.2s

Counts: 104 → 104

prune1.3s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes345.0ms

Accuracy

0% (0.4b remaining)

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

bsearch6.0ms

end0.0ms

sample3.2s

Algorithm

intervals

Results

2.6s	8000×	body	80	valid
391.0ms	8000×	pre	80	true