Details

sample124.0ms

Algorithm

intervals

Results

28.0ms	256×	body	80	valid
5.0ms	256×	pre	80	true

simplify2.8s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
5	3198
4	477
3	155
2	71
1	34
0	18

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize35.0ms

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))

rewrite150.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-exp-log`
22×	`add-sqr-sqrt`
14×	`-un-lft-identity` `add-cbrt-cube` `associate-l*` `prod-exp` `add-cube-cbrt`
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` `sum-log` `flip3-+` `associate-*l/` `flip-+` `div-inv`

Counts

4 → 87

Calls

4 calls:

62.0ms	(+ (* (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5)) (cos (* (* 2.0 PI) u2))) 0.5)
7.0ms	(pow (* -2.0 (log u1)) 0.5)
27.0ms	(* (* 2.0 PI) u2)
47.0ms	(* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5))

series2.3s

Counts

4 → 12

Calls

4 calls:

660.0ms	(+ (* (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5)) (cos (* (* 2.0 PI) u2))) 0.5)
455.0ms	(pow (* -2.0 (log u1)) 0.5)
50.0ms	(* (* 2.0 PI) u2)
1.1s	(* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5))

simplify1.9s

Counts

99 → 99

Iterations

Iter	Nodes
done	5000
2	2644
1	557
0	206

prune781.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize40.0ms

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

rewrite103.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 70

Calls

4 calls:

45.0ms	(+ (* (/ (* 1.0 (pow (* -2.0 (log u1)) 0.5)) 6.0) (cos (* (* 2.0 PI) u2))) 0.5)
9.0ms	(pow (* -2.0 (log u1)) 0.5)
21.0ms	(/ (* 1.0 (pow (* -2.0 (log u1)) 0.5)) 6.0)
26.0ms	(* (* 2.0 PI) u2)

series2.3s

Counts

4 → 12

Calls

4 calls:

697.0ms	(+ (* (/ (* 1.0 (pow (* -2.0 (log u1)) 0.5)) 6.0) (cos (* (* 2.0 PI) u2))) 0.5)
412.0ms	(pow (* -2.0 (log u1)) 0.5)
1.1s	(/ (* 1.0 (pow (* -2.0 (log u1)) 0.5)) 6.0)
39.0ms	(* (* 2.0 PI) u2)

simplify2.0s

Counts

82 → 82

Iterations

Iter	Nodes
done	5002
2	2526
1	526
0	187

prune742.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize64.0ms

Local error

Found 4 expressions with local error:

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

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

132×	`times-frac`
72×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
34×	`add-exp-log`
24×	`associate-/r*`
17×	`unpow-prod-down` `sqr-pow`
16×	`add-cbrt-cube`
13×	`div-exp`
12×	`pow1`
6×	`pow-exp` `prod-exp` `div-inv` `associate-/l*`
4×	`cbrt-undiv` `pow-prod-down` `add-log-exp`
3×	`pow-to-exp` `pow-unpow` `associate-r` `cbrt-unprod`
2×	`clear-num` `pow-pow` `frac-2neg`
1×	`associate-l` `associate-/r/` `*-commutative`

Counts

4 → 170

Calls

4 calls:

9.0ms	(pow (* -2.0 (log u1)) 0.5)
9.0ms	(/ 6.0 (pow (* -2.0 (log u1)) 0.5))
11.0ms	(/ 1.0 (/ 6.0 (pow (* -2.0 (log u1)) 0.5)))
13.0ms	(* (* 2.0 PI) u2)

series3.0s

Counts

4 → 12

Calls

4 calls:

380.0ms	(pow (* -2.0 (log u1)) 0.5)
1.1s	(/ 6.0 (pow (* -2.0 (log u1)) 0.5))
1.5s	(/ 1.0 (/ 6.0 (pow (* -2.0 (log u1)) 0.5)))
55.0ms	(* (* 2.0 PI) u2)

simplify2.2s

Counts

182 → 182

Iterations

Iter	Nodes
done	5002
2	3924
1	838
0	313

prune1.5s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize47.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (/ 1.0 6.0) (cbrt (* (* (pow (* -2.0 (log u1)) 0.5) (pow (* -2.0 (log u1)) 0.5)) (pow (* -2.0 (log u1)) 0.5))))
0.4b	(* (* (pow (* -2.0 (log u1)) 0.5) (pow (* -2.0 (log u1)) 0.5)) (pow (* -2.0 (log u1)) 0.5))
0.5b	(* (pow (* -2.0 (log u1)) 0.5) (pow (* -2.0 (log u1)) 0.5))
0.5b	(cbrt (* (* (pow (* -2.0 (log u1)) 0.5) (pow (* -2.0 (log u1)) 0.5)) (pow (* -2.0 (log u1)) 0.5)))

rewrite225.0ms

Algorithm

rewrite-expression-head

Rules

241×	`add-exp-log`
207×	`prod-exp`
114×	`pow-exp`
57×	`pow-to-exp`
27×	`add-sqr-sqrt`
19×	`associate-l`
17×	`*-un-lft-identity` `add-cube-cbrt`
14×	`add-cbrt-cube` `associate-r`
10×	`times-frac` `sqr-pow`
8×	`unswap-sqr`
6×	`pow1` `cbrt-unprod`
5×	`unpow-prod-down` `swap-sqr`
4×	`pow-prod-down` `pow-prod-up` `add-log-exp`
3×	`*-commutative`
2×	`cbrt-prod` `pow2` `pow3` `pow-sqr`
1×	`cbrt-undiv` `pow-plus` `pow1/3` `div-exp` `associate-*l/` `rem-cbrt-cube` `div-inv`

Counts

4 → 182

Calls

4 calls:

86.0ms	(* (/ 1.0 6.0) (cbrt (* (* (pow (* -2.0 (log u1)) 0.5) (pow (* -2.0 (log u1)) 0.5)) (pow (* -2.0 (log u1)) 0.5))))
67.0ms	(* (* (pow (* -2.0 (log u1)) 0.5) (pow (* -2.0 (log u1)) 0.5)) (pow (* -2.0 (log u1)) 0.5))
38.0ms	(* (pow (* -2.0 (log u1)) 0.5) (pow (* -2.0 (log u1)) 0.5))
24.0ms	(cbrt (* (* (pow (* -2.0 (log u1)) 0.5) (pow (* -2.0 (log u1)) 0.5)) (pow (* -2.0 (log u1)) 0.5)))

series4.1s

Counts

4 → 12

Calls

4 calls:

1.2s	(* (/ 1.0 6.0) (cbrt (* (* (pow (* -2.0 (log u1)) 0.5) (pow (* -2.0 (log u1)) 0.5)) (pow (* -2.0 (log u1)) 0.5))))
1.0s	(* (* (pow (* -2.0 (log u1)) 0.5) (pow (* -2.0 (log u1)) 0.5)) (pow (* -2.0 (log u1)) 0.5))
991.0ms	(* (pow (* -2.0 (log u1)) 0.5) (pow (* -2.0 (log u1)) 0.5))
911.0ms	(cbrt (* (* (pow (* -2.0 (log u1)) 0.5) (pow (* -2.0 (log u1)) 0.5)) (pow (* -2.0 (log u1)) 0.5)))

simplify3.4s

Counts

194 → 194

Iterations

Iter	Nodes
done	5000
2	3192
1	672
0	252

prune911.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes612.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify9.0ms

Iterations

Iter	Nodes
done	24
1	24
0	18

end0.0ms

sample2.1s

Algorithm

intervals

Results

1.7s	8000×	body	80	valid
176.0ms	8000×	pre	80	true