Details

sample227.0ms

Algorithm

intervals

Results

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

simplify4.0s

Counts: 1 → 1

prune29.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize61.0ms

Local error

Found 4 expressions with local error:

0.4b	(* 1/6 (pow (* -2 (log u1)) 0.5))
0.2b	(* u2 (* 2 PI))
0.1b	(pow (* -2 (log u1)) 0.5)
0.0b	(+ 0.5 (* (* 1/6 (pow (* -2 (log u1)) 0.5)) (cos (* u2 (* 2 PI)))))

rewrite84.0ms

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

29.0ms	(* 1/6 (pow (* -2 (log u1)) 0.5))
23.0ms	(* u2 (* 2 PI))
20.0ms	(+ 0.5 (* (* 1/6 (pow (* -2 (log u1)) 0.5)) (cos (* u2 (* 2 PI)))))
9.0ms	(pow (* -2 (log u1)) 0.5)

series1.9s

Counts

4 → 12

Calls

4 calls:

Slowest

907.0ms	(* 1/6 (pow (* -2 (log u1)) 0.5))
594.0ms	(+ 0.5 (* (* 1/6 (pow (* -2 (log u1)) 0.5)) (cos (* u2 (* 2 PI)))))
356.0ms	(pow (* -2 (log u1)) 0.5)
63.0ms	(* u2 (* 2 PI))

simplify2.3s

Counts: 85 → 85

prune987.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize35.0ms

Local error

Found 4 expressions with local error:

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

rewrite117.0ms

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

59.0ms	(* (sqrt 1/6) (* (sqrt 1/6) (pow (* -2 (log u1)) 0.5)))
25.0ms	(* u2 (* 2 PI))
23.0ms	(* (sqrt 1/6) (pow (* -2 (log u1)) 0.5))
9.0ms	(pow (* -2 (log u1)) 0.5)

series2.4s

Counts

4 → 12

Calls

4 calls:

Slowest

1.0s	(* (sqrt 1/6) (pow (* -2 (log u1)) 0.5))
970.0ms	(* (sqrt 1/6) (* (sqrt 1/6) (pow (* -2 (log u1)) 0.5)))
344.0ms	(pow (* -2 (log u1)) 0.5)
38.0ms	(* u2 (* 2 PI))

simplify1.4s

Counts: 102 → 102

prune1.4s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize79.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (* (* (pow (* -2 (log u1)) 0.5) (pow (* -2 (log u1)) 0.5)) (pow (* -2 (log u1)) 0.5)))
0.5b	(* (pow (* -2 (log u1)) 0.5) (pow (* -2 (log u1)) 0.5))
0.4b	(* 1/6 (cbrt (* (* (pow (* -2 (log u1)) 0.5) (pow (* -2 (log u1)) 0.5)) (pow (* -2 (log u1)) 0.5))))
0.3b	(* (* (pow (* -2 (log u1)) 0.5) (pow (* -2 (log u1)) 0.5)) (pow (* -2 (log u1)) 0.5))

rewrite182.0ms

Algorithm

rewrite-expression-head

Rules

238×	`add-exp-log`
206×	`prod-exp`
114×	`pow-exp`
57×	`pow-to-exp`
18×	`add-sqr-sqrt`
14×	`associate-r`
12×	`add-cbrt-cube`
11×	`*-un-lft-identity` `add-cube-cbrt`
10×	`sqr-pow`
9×	`associate-l`
7×	`unswap-sqr`
6×	`pow1`
5×	`unpow-prod-down` `swap-sqr` `cbrt-unprod`
4×	`pow-prod-down` `pow-prod-up` `insert-posit16` `add-log-exp`
3×	`*-commutative`
2×	`cbrt-prod` `pow2` `pow3` `pow-sqr`
1×	`pow-plus` `pow1/3` `rem-cbrt-cube`

Counts

4 → 172

Calls

4 calls:

Slowest

85.0ms	(* 1/6 (cbrt (* (* (pow (* -2 (log u1)) 0.5) (pow (* -2 (log u1)) 0.5)) (pow (* -2 (log u1)) 0.5))))
43.0ms	(* (* (pow (* -2 (log u1)) 0.5) (pow (* -2 (log u1)) 0.5)) (pow (* -2 (log u1)) 0.5))
30.0ms	(cbrt (* (* (pow (* -2 (log u1)) 0.5) (pow (* -2 (log u1)) 0.5)) (pow (* -2 (log u1)) 0.5)))
15.0ms	(* (pow (* -2 (log u1)) 0.5) (pow (* -2 (log u1)) 0.5))

series4.1s

Counts

4 → 12

Calls

4 calls:

Slowest

1.1s	(* 1/6 (cbrt (* (* (pow (* -2 (log u1)) 0.5) (pow (* -2 (log u1)) 0.5)) (pow (* -2 (log u1)) 0.5))))
1.0s	(cbrt (* (* (pow (* -2 (log u1)) 0.5) (pow (* -2 (log u1)) 0.5)) (pow (* -2 (log u1)) 0.5)))
1.0s	(* (pow (* -2 (log u1)) 0.5) (pow (* -2 (log u1)) 0.5))
980.0ms	(* (* (pow (* -2 (log u1)) 0.5) (pow (* -2 (log u1)) 0.5)) (pow (* -2 (log u1)) 0.5))

simplify3.0s

Counts: 184 → 184

prune3.0s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize83.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (* -2 (log u1)) (* -2 (log u1)))
0.5b	(cbrt (* (pow (* (* -2 (log u1)) (* -2 (log u1))) 0.5) (pow (* -2 (log u1)) 0.5)))
0.4b	(* 1/6 (cbrt (* (pow (* (* -2 (log u1)) (* -2 (log u1))) 0.5) (pow (* -2 (log u1)) 0.5))))
0.3b	(* (pow (* (* -2 (log u1)) (* -2 (log u1))) 0.5) (pow (* -2 (log u1)) 0.5))

rewrite166.0ms

Algorithm

rewrite-expression-head

Rules

102×	`add-exp-log`
76×	`prod-exp`
45×	`pow1`
34×	`pow-exp`
19×	`add-sqr-sqrt` `add-cbrt-cube` `pow-prod-down`
12×	`distribute-rgt-in` `log-prod` `*-un-lft-identity` `distribute-lft-in` `add-cube-cbrt`
11×	`pow-to-exp`
10×	`associate-r` `cbrt-unprod`
9×	`associate-l`
7×	`unswap-sqr` `sqr-pow`
6×	`unpow-prod-down`
4×	`pow-sqr` `pow-prod-up` `insert-posit16` `add-log-exp`
3×	`*-commutative`
2×	`cbrt-prod` `pow-plus` `pow3`
1×	`pow2` `pow1/3` `swap-sqr` `rem-cbrt-cube`

Counts

4 → 134

Calls

4 calls:

Slowest

60.0ms	(* 1/6 (cbrt (* (pow (* (* -2 (log u1)) (* -2 (log u1))) 0.5) (pow (* -2 (log u1)) 0.5))))
56.0ms	(* (pow (* (* -2 (log u1)) (* -2 (log u1))) 0.5) (pow (* -2 (log u1)) 0.5))
23.0ms	(* (* -2 (log u1)) (* -2 (log u1)))
22.0ms	(cbrt (* (pow (* (* -2 (log u1)) (* -2 (log u1))) 0.5) (pow (* -2 (log u1)) 0.5)))

series5.5s

Counts

4 → 12

Calls

4 calls:

Slowest

1.9s	(* 1/6 (cbrt (* (pow (* (* -2 (log u1)) (* -2 (log u1))) 0.5) (pow (* -2 (log u1)) 0.5))))
1.8s	(cbrt (* (pow (* (* -2 (log u1)) (* -2 (log u1))) 0.5) (pow (* -2 (log u1)) 0.5)))
1.5s	(* (pow (* (* -2 (log u1)) (* -2 (log u1))) 0.5) (pow (* -2 (log u1)) 0.5))
258.0ms	(* (* -2 (log u1)) (* -2 (log u1)))

simplify1.4s

Counts: 146 → 146

prune2.1s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes365.0ms

Accuracy

0% (0.3b remaining)

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

bsearch9.0ms

end0.0ms

sample3.0s

Algorithm

intervals

Results

2.5s	8000×	body	80	valid
375.0ms	8000×	pre	80	true