Details

sample372.0ms

Algorithm

intervals

Results

147.0ms	256×	body	80	valid
17.0ms	256×	pre	80	true

simplify4.6s

Counts: 1 → 1

prune17.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize55.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ (pow (* -2 (log u1)) 0.5) 6)
0.2b	(* u2 (* 2 PI))
0.1b	(pow (* -2 (log u1)) 0.5)
0.0b	(fma (cos (* u2 (* 2 PI))) (/ (pow (* -2 (log u1)) 0.5) 6) 0.5)

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-exp-log`
16×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
15×	`times-frac`
12×	`pow1`
11×	`add-cbrt-cube`
5×	`unpow-prod-down` `prod-exp` `associate-/l*` `sqr-pow`
4×	`expm1-log1p-u` `div-exp` `pow-prod-down` `pow-exp` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow` `associate-/r` `associate-l*` `cbrt-unprod`
2×	`pow-to-exp` `pow-pow`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `associate-r` `*-commutative` `fma-udef` `div-inv`

Counts

4 → 93

Calls

4 calls:

Slowest

14.0ms	(/ (pow (* -2 (log u1)) 0.5) 6)
13.0ms	(* u2 (* 2 PI))
5.0ms	(pow (* -2 (log u1)) 0.5)
0.0ms	(fma (cos (* u2 (* 2 PI))) (/ (pow (* -2 (log u1)) 0.5) 6) 0.5)

series2.0s

Counts

4 → 12

Calls

4 calls:

Slowest

1.1s	(/ (pow (* -2 (log u1)) 0.5) 6)
532.0ms	(fma (cos (* u2 (* 2 PI))) (/ (pow (* -2 (log u1)) 0.5) 6) 0.5)
397.0ms	(pow (* -2 (log u1)) 0.5)
35.0ms	(* u2 (* 2 PI))

simplify2.0s

Counts: 105 → 105

prune1.3s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

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

rewrite55.0ms

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` `associate-l*` `add-cube-cbrt`
4×	`expm1-log1p-u` `associate-r` `pow-prod-down` `pow-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow` `sqr-pow`
2×	`pow-to-exp` `unpow-prod-down` `pow-pow` `*-commutative` `unswap-sqr`
1×	`fma-udef`

Counts

4 → 78

Calls

4 calls:

Slowest

26.0ms	(* u2 (* 2 PI))
17.0ms	(* (pow (* -2 (log u1)) 0.5) 1/6)
10.0ms	(pow (* -2 (log u1)) 0.5)
0.0ms	(fma (cos (* u2 (* 2 PI))) (* (pow (* -2 (log u1)) 0.5) 1/6) 0.5)

series2.1s

Counts

4 → 12

Calls

4 calls:

Slowest

1.1s	(* (pow (* -2 (log u1)) 0.5) 1/6)
493.0ms	(fma (cos (* u2 (* 2 PI))) (* (pow (* -2 (log u1)) 0.5) 1/6) 0.5)
408.0ms	(pow (* -2 (log u1)) 0.5)
47.0ms	(* u2 (* 2 PI))

simplify1.6s

Counts: 90 → 90

prune1.2s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize70.0ms

Local error

Found 4 expressions with local error:

0.4b	(expm1 (log1p (* (pow (* -2 (log u1)) 0.5) 1/6)))
0.4b	(* (pow (* -2 (log u1)) 0.5) 1/6)
0.2b	(* u2 (* 2 PI))
0.2b	(log1p (* (pow (* -2 (log u1)) 0.5) 1/6))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-exp-log`
11×	`add-cbrt-cube`
10×	`add-sqr-sqrt`
9×	`pow1`
8×	`associate-l` `prod-exp`
7×	`*-un-lft-identity` `add-cube-cbrt`
5×	`expm1-log1p-u`
4×	`associate-r` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow-prod-down`
2×	`pow-exp` `*-commutative` `unswap-sqr` `sqr-pow`
1×	`pow-to-exp` `log1p-udef` `expm1-log1p` `unpow-prod-down` `log1p-expm1` `expm1-udef`

Counts

4 → 71

Calls

4 calls:

Slowest

32.0ms	(* u2 (* 2 PI))
22.0ms	(* (pow (* -2 (log u1)) 0.5) 1/6)
1.0ms	(log1p (* (pow (* -2 (log u1)) 0.5) 1/6))
1.0ms	(expm1 (log1p (* (pow (* -2 (log u1)) 0.5) 1/6)))

series3.5s

Counts

4 → 12

Calls

4 calls:

Slowest

1.2s	(expm1 (log1p (* (pow (* -2 (log u1)) 0.5) 1/6)))
1.2s	(log1p (* (pow (* -2 (log u1)) 0.5) 1/6))
1.1s	(* (pow (* -2 (log u1)) 0.5) 1/6)
36.0ms	(* u2 (* 2 PI))

simplify1.2s

Counts: 83 → 83

prune1.2s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize47.0ms

Local error

Found 4 expressions with local error:

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

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

209×	`times-frac`
96×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
76×	`add-exp-log`
43×	`unpow-prod-down` `sqr-pow`
40×	`div-exp`
24×	`associate-/r*`
22×	`pow-exp`
16×	`add-cbrt-cube`
14×	`prod-exp`
13×	`pow-unpow`
12×	`pow1`
11×	`pow-to-exp`
9×	`div-inv`
8×	`associate-/l*`
4×	`expm1-log1p-u` `cbrt-undiv` `pow-prod-down` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`associate-l` `cbrt-unprod`
2×	`clear-num` `pow-pow` `frac-2neg`
1×	`associate-r` `associate-/r/` `*-commutative`

Counts

4 → 247

Calls

4 calls:

Slowest

18.0ms	(* u2 (* 2 PI))
14.0ms	(/ (pow (* -2 (log u1)) (/ 0.5 2)) (/ 6 (pow (* -2 (log u1)) (/ 0.5 2))))
13.0ms	(pow (* -2 (log u1)) (/ 0.5 2))
12.0ms	(/ 6 (pow (* -2 (log u1)) (/ 0.5 2)))

series2.7s

Counts

4 → 12

Calls

4 calls:

Slowest

1.1s	(/ (pow (* -2 (log u1)) (/ 0.5 2)) (/ 6 (pow (* -2 (log u1)) (/ 0.5 2))))
1.1s	(/ 6 (pow (* -2 (log u1)) (/ 0.5 2)))
442.0ms	(pow (* -2 (log u1)) (/ 0.5 2))
47.0ms	(* u2 (* 2 PI))

simplify2.6s

Counts: 259 → 259

prune3.2s

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes431.0ms

Accuracy

0% (0.3b remaining)

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

bsearch4.0ms

end0.0ms

sample2.6s

Algorithm

intervals

Results

2.1s	8000×	body	80	valid
369.0ms	8000×	pre	80	true