Details

sample149.0ms

Algorithm

intervals

Results

42.0ms	256×	body	80	valid
9.0ms	256×	pre	80	true

simplify3.6s

Counts: 1 → 1

prune34.0ms

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)
0.3b	(* 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)

rewrite53.0ms

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

26.0ms	(* u2 (* 2 PI))
13.0ms	(/ (pow (* -2 (log u1)) 0.5) 6)
11.0ms	(pow (* -2 (log u1)) 0.5)
0.0ms	(fma (cos (* u2 (* 2 PI))) (/ (pow (* -2 (log u1)) 0.5) 6) 0.5)

series2.1s

Counts

4 → 12

Calls

4 calls:

Slowest

1.1s	(/ (pow (* -2 (log u1)) 0.5) 6)
547.0ms	(fma (cos (* u2 (* 2 PI))) (/ (pow (* -2 (log u1)) 0.5) 6) 0.5)
402.0ms	(pow (* -2 (log u1)) 0.5)
48.0ms	(* u2 (* 2 PI))

simplify1.9s

Counts: 105 → 105

prune1.6s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize66.0ms

Local error

Found 4 expressions with local error:

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

rewrite119.0ms

Algorithm

rewrite-expression-head

Rules

791×	`add-exp-log`
367×	`prod-exp`
348×	`div-exp`
174×	`pow-exp`
104×	`times-frac`
87×	`add-sqr-sqrt` `pow-to-exp`
59×	`*-un-lft-identity` `add-cbrt-cube` `add-cube-cbrt`
38×	`associate-r`
30×	`pow1`
26×	`sqr-pow`
22×	`cbrt-unprod`
20×	`associate-l`
19×	`unpow-prod-down` `swap-sqr`
18×	`cbrt-undiv`
12×	`unswap-sqr`
11×	`frac-times` `associate-*l/`
7×	`cbrt-div` `pow-plus` `associate-*r/` `pow-prod-up`
6×	`div-inv`
5×	`associate-/l*`
4×	`expm1-log1p-u` `pow-prod-down` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow2` `associate-/r*` `pow-sqr`
2×	`pow3` `*-commutative`
1×	`cbrt-prod` `clear-num` `frac-2neg` `pow1/3` `rem-cbrt-cube`

Counts

4 → 367

Calls

4 calls:

Slowest

39.0ms	(* (* (/ (pow (* -2 (log u1)) 0.5) 6) (/ (pow (* -2 (log u1)) 0.5) 6)) (/ (pow (* -2 (log u1)) 0.5) 6))
26.0ms	(cbrt (* (* (/ (pow (* -2 (log u1)) 0.5) 6) (/ (pow (* -2 (log u1)) 0.5) 6)) (/ (pow (* -2 (log u1)) 0.5) 6)))
16.0ms	(* (/ (pow (* -2 (log u1)) 0.5) 6) (/ (pow (* -2 (log u1)) 0.5) 6))
15.0ms	(/ (pow (* -2 (log u1)) 0.5) 6)

series4.6s

Counts

4 → 12

Calls

4 calls:

Slowest

1.5s	(cbrt (* (* (/ (pow (* -2 (log u1)) 0.5) 6) (/ (pow (* -2 (log u1)) 0.5) 6)) (/ (pow (* -2 (log u1)) 0.5) 6)))
1.1s	(/ (pow (* -2 (log u1)) 0.5) 6)
1.1s	(* (* (/ (pow (* -2 (log u1)) 0.5) 6) (/ (pow (* -2 (log u1)) 0.5) 6)) (/ (pow (* -2 (log u1)) 0.5) 6))
926.0ms	(* (/ (pow (* -2 (log u1)) 0.5) 6) (/ (pow (* -2 (log u1)) 0.5) 6))

simplify1.9s

Counts: 379 → 379

prune6.8s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

localize83.0ms

Local error

Found 4 expressions with local error:

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

rewrite46.0ms

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

14.0ms	(/ (pow (* -2 (log u1)) (/ 0.5 2)) (/ 6 (pow (* -2 (log u1)) (/ 0.5 2))))
13.0ms	(* u2 (* 2 PI))
7.0ms	(pow (* -2 (log u1)) (/ 0.5 2))
6.0ms	(/ 6 (pow (* -2 (log u1)) (/ 0.5 2)))

series2.7s

Counts

4 → 12

Calls

4 calls:

Slowest

1.2s	(/ 6 (pow (* -2 (log u1)) (/ 0.5 2)))
1.1s	(/ (pow (* -2 (log u1)) (/ 0.5 2)) (/ 6 (pow (* -2 (log u1)) (/ 0.5 2))))
387.0ms	(pow (* -2 (log u1)) (/ 0.5 2))
45.0ms	(* u2 (* 2 PI))

simplify2.0s

Counts: 259 → 259

prune4.2s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize54.0ms

Local error

Found 4 expressions with local error:

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

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

132×	`times-frac`
72×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
52×	`add-exp-log`
26×	`div-exp`
24×	`associate-/r*`
17×	`unpow-prod-down` `sqr-pow`
16×	`add-cbrt-cube`
13×	`pow1`
10×	`pow-exp`
8×	`prod-exp`
6×	`div-inv` `associate-/l*`
5×	`pow-to-exp` `rec-exp` `1-exp`
4×	`expm1-log1p-u` `cbrt-undiv` `pow-prod-down` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow` `associate-l` `cbrt-unprod`
2×	`clear-num` `pow-pow` `frac-2neg`
1×	`associate-r` `associate-/r/` `*-commutative` `pow-flip` `inv-pow`

Counts

4 → 194

Calls

4 calls:

Slowest

35.0ms	(* u2 (* 2 PI))
19.0ms	(/ 1 (/ 6 (pow (* -2 (log u1)) 0.5)))
12.0ms	(/ 6 (pow (* -2 (log u1)) 0.5))
10.0ms	(pow (* -2 (log u1)) 0.5)

series2.7s

Counts

4 → 12

Calls

4 calls:

Slowest

1.3s	(/ 6 (pow (* -2 (log u1)) 0.5))
977.0ms	(/ 1 (/ 6 (pow (* -2 (log u1)) 0.5)))
416.0ms	(pow (* -2 (log u1)) 0.5)
62.0ms	(* u2 (* 2 PI))

simplify1.2s

Counts: 206 → 206

prune3.5s

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes513.0ms

Accuracy

0% (0.3b remaining)

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

bsearch7.0ms

end0.0ms

sample2.7s

Algorithm

intervals

Results

2.0s	8000×	body	80	valid
453.0ms	8000×	pre	80	true