Details

sample87.0ms

Algorithm

intervals

Results

26.0ms	256×	body	80	valid
5.0ms	256×	pre	80	true

simplify61.0ms

Counts: 1 → 1

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize55.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5)) (cos (* (* 2.0 PI) u2))) 0.5)
0.1b	(pow (* -2.0 (log u1)) 0.5)
0.3b	(* (* 2.0 PI) u2)
0.4b	(* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5))

rewrite120.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-exp-log`
22×	`add-sqr-sqrt`
14×	`add-cube-cbrt` `-un-lft-identity` `associate-l*` `prod-exp` `add-cbrt-cube`
12×	`pow1`
11×	`times-frac`
8×	`associate-r`
6×	`pow-exp` `add-log-exp`
5×	`cbrt-unprod`
4×	`div-exp` `pow-prod-down` `unswap-sqr` `sqr-pow`
3×	`pow-to-exp` `pow-unpow`
2×	`unpow-prod-down` `pow-pow` `*-commutative`
1×	`cbrt-undiv` `+-commutative` `flip3-+` `associate-*l/` `sum-log` `flip-+` `div-inv`

Counts

4 → 87

Calls

4 calls:

56.0ms	(+ (* (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5)) (cos (* (* 2.0 PI) u2))) 0.5)
14.0ms	(pow (* -2.0 (log u1)) 0.5)
18.0ms	(* (* 2.0 PI) u2)
26.0ms	(* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5))

series1.6s

Counts

4 → 12

Calls

4 calls:

506.0ms	(+ (* (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5)) (cos (* (* 2.0 PI) u2))) 0.5)
296.0ms	(pow (* -2.0 (log u1)) 0.5)
36.0ms	(* (* 2.0 PI) u2)
789.0ms	(* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5))

simplify61.0ms

Counts: 99 → 99

prune366.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (/ (* 1.0 (pow (* -2.0 (log u1)) 0.5)) 6.0) (cos (* (* 2.0 PI) u2))) 0.5)
0.1b	(pow (* -2.0 (log u1)) 0.5)
0.3b	(/ (* 1.0 (pow (* -2.0 (log u1)) 0.5)) 6.0)
0.3b	(* (* 2.0 PI) u2)

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-exp-log`
14×	`add-cbrt-cube`
12×	`pow1`
9×	`prod-exp`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`add-log-exp`
5×	`div-exp`
4×	`pow-prod-down` `pow-exp` `cbrt-unprod`
3×	`pow-unpow` `times-frac` `associate-r` `associate-/r*`
2×	`cbrt-undiv` `pow-to-exp` `pow-pow`
1×	`+-commutative` `unpow-prod-down` `frac-2neg` `flip3-+` `associate-l` `clear-num` `sum-log` `-commutative` `flip-+` `div-inv` `associate-/l` `sqr-pow`

Counts

4 → 70

Calls

4 calls:

40.0ms	(+ (* (/ (* 1.0 (pow (* -2.0 (log u1)) 0.5)) 6.0) (cos (* (* 2.0 PI) u2))) 0.5)
7.0ms	(pow (* -2.0 (log u1)) 0.5)
14.0ms	(/ (* 1.0 (pow (* -2.0 (log u1)) 0.5)) 6.0)
25.0ms	(* (* 2.0 PI) u2)

series1.6s

Counts

4 → 12

Calls

4 calls:

512.0ms	(+ (* (/ (* 1.0 (pow (* -2.0 (log u1)) 0.5)) 6.0) (cos (* (* 2.0 PI) u2))) 0.5)
305.0ms	(pow (* -2.0 (log u1)) 0.5)
781.0ms	(/ (* 1.0 (pow (* -2.0 (log u1)) 0.5)) 6.0)
37.0ms	(* (* 2.0 PI) u2)

simplify57.0ms

Counts: 82 → 82

prune303.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.1b	(pow (* -2.0 (log u1)) 0.5)
0.2b	(* (sqrt (/ 1.0 6.0)) (* (sqrt (/ 1.0 6.0)) (pow (* -2.0 (log u1)) 0.5)))
0.2b	(* (sqrt (/ 1.0 6.0)) (pow (* -2.0 (log u1)) 0.5))
0.3b	(* (* 2.0 PI) u2)

rewrite127.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-exp-log` `add-sqr-sqrt`
33×	`associate-l`
30×	`sqrt-prod`
23×	`add-cube-cbrt` `*-un-lft-identity`
20×	`times-frac`
19×	`prod-exp`
16×	`add-cbrt-cube`
14×	`pow1`
9×	`associate-r`
7×	`cbrt-unprod`
6×	`pow-exp` `unswap-sqr`
5×	`sqrt-div` `pow-prod-down` `sqr-pow`
4×	`associate-*l/` `add-log-exp`
3×	`pow-to-exp` `pow-unpow` `*-commutative`
2×	`unpow-prod-down` `pow-pow` `div-inv`
1×	`frac-times` `associate-*r/`

Counts

4 → 112

Calls

4 calls:

8.0ms	(pow (* -2.0 (log u1)) 0.5)
63.0ms	(* (sqrt (/ 1.0 6.0)) (* (sqrt (/ 1.0 6.0)) (pow (* -2.0 (log u1)) 0.5)))
33.0ms	(* (sqrt (/ 1.0 6.0)) (pow (* -2.0 (log u1)) 0.5))
17.0ms	(* (* 2.0 PI) u2)

series2.3s

Counts

4 → 12

Calls

4 calls:

303.0ms	(pow (* -2.0 (log u1)) 0.5)
1.1s	(* (sqrt (/ 1.0 6.0)) (* (sqrt (/ 1.0 6.0)) (pow (* -2.0 (log u1)) 0.5)))
835.0ms	(* (sqrt (/ 1.0 6.0)) (pow (* -2.0 (log u1)) 0.5))
36.0ms	(* (* 2.0 PI) u2)

simplify57.0ms

Counts: 124 → 124

prune498.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.1b	(pow (* -2.0 (log u1)) 0.5)
0.2b	(/ 6.0 (* 1.0 (pow (* -2.0 (log u1)) 0.5)))
0.2b	(/ 1 (/ 6.0 (* 1.0 (pow (* -2.0 (log u1)) 0.5))))
0.3b	(* (* 2.0 PI) u2)

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

77×	`add-exp-log`
36×	`times-frac`
32×	`div-exp`
24×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `prod-exp`
23×	`add-cbrt-cube`
13×	`pow1`
10×	`pow-exp`
8×	`associate-/r*`
7×	`cbrt-undiv`
6×	`rec-exp` `1-exp` `div-inv` `associate-/l*`
5×	`pow-to-exp` `cbrt-unprod`
4×	`pow-prod-down` `add-log-exp`
3×	`pow-unpow` `associate-r`
2×	`pow-pow` `frac-2neg` `clear-num`
1×	`unpow-prod-down` `pow-flip` `associate-l` `associate-/r/` `*-commutative` `inv-pow` `sqr-pow`

Counts

4 → 124

Calls

4 calls:

6.0ms	(pow (* -2.0 (log u1)) 0.5)
11.0ms	(/ 6.0 (* 1.0 (pow (* -2.0 (log u1)) 0.5)))
25.0ms	(/ 1 (/ 6.0 (* 1.0 (pow (* -2.0 (log u1)) 0.5))))
26.0ms	(* (* 2.0 PI) u2)

series2.1s

Counts

4 → 12

Calls

4 calls:

319.0ms	(pow (* -2.0 (log u1)) 0.5)
886.0ms	(/ 6.0 (* 1.0 (pow (* -2.0 (log u1)) 0.5)))
809.0ms	(/ 1 (/ 6.0 (* 1.0 (pow (* -2.0 (log u1)) 0.5))))
37.0ms	(* (* 2.0 PI) u2)

simplify64.0ms

Counts: 136 → 136

prune341.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes327.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.5s

Algorithm

intervals

Results

1.0s	8000×	body	80	valid
174.0ms	8000×	pre	80	true