Details

sample337.0ms

Algorithm

intervals

Results

23.0ms	256×	body	80	valid
5.0ms	256×	pre	80	true

simplify64.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	35	9
1	74	9
2	160	9
3	483	9
4	1845	9
5	5001	9
done	5001	9

prune31.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite60.0ms

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`
5×	`cbrt-unprod`
4×	`expm1-log1p-u` `div-exp` `pow-prod-down` `log1p-expm1-u` `add-log-exp` `unswap-sqr` `sqr-pow`
3×	`pow-to-exp` `pow-unpow`
2×	`unpow-prod-down` `pow-pow` `*-commutative`
1×	`cbrt-undiv` `associate-*l/` `fma-udef` `div-inv`

Counts

4 → 92

Calls

4 calls:

0.0ms	(fma (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5)) (cos (* (* 2.0 PI) u2)) 0.5)
13.0ms	(pow (* -2.0 (log u1)) 0.5)
17.0ms	(* (* 2.0 PI) u2)
25.0ms	(* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5))

series1.4s

Counts

4 → 12

Calls

4 calls:

458.0ms	(fma (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5)) (cos (* (* 2.0 PI) u2)) 0.5)
263.0ms	(pow (* -2.0 (log u1)) 0.5)
32.0ms	(* (* 2.0 PI) u2)
685.0ms	(* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5))

simplify49.0ms

Counts

104 → 104

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	456	686
1	1839	619
2	5001	619
done	5001	619

prune352.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite41.0ms

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`
5×	`div-exp`
4×	`expm1-log1p-u` `pow-prod-down` `pow-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow` `times-frac` `associate-r` `associate-/r*`
2×	`cbrt-undiv` `pow-to-exp` `pow-pow`
1×	`unpow-prod-down` `frac-2neg` `associate-l` `clear-num` `-commutative` `fma-udef` `div-inv` `associate-/l` `sqr-pow`

Counts

4 → 75

Calls

4 calls:

0.0ms	(fma (/ (* 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)
16.0ms	(* (* 2.0 PI) u2)
14.0ms	(/ (* 1.0 (pow (* -2.0 (log u1)) 0.5)) 6.0)

series1.4s

Counts

4 → 12

Calls

4 calls:

462.0ms	(fma (/ (* 1.0 (pow (* -2.0 (log u1)) 0.5)) 6.0) (cos (* (* 2.0 PI) u2)) 0.5)
258.0ms	(pow (* -2.0 (log u1)) 0.5)
38.0ms	(* (* 2.0 PI) u2)
680.0ms	(/ (* 1.0 (pow (* -2.0 (log u1)) 0.5)) 6.0)

simplify46.0ms

Counts

87 → 87

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	405	555
1	1722	486
2	5001	486
done	5001	486

prune286.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* 2.0 PI) u2)
0.3b	(* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5))
0.5b	(cbrt (pow (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5)) 3))
0.7b	(pow (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5)) 3)

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

50×	`add-exp-log`
23×	`add-sqr-sqrt` `prod-exp`
20×	`add-cbrt-cube`
17×	`pow-exp`
15×	`add-cube-cbrt` `*-un-lft-identity`
14×	`associate-l`
11×	`times-frac`
10×	`pow1`
8×	`cbrt-prod` `div-exp` `associate-r`
7×	`cbrt-unprod`
5×	`pow-to-exp` `sqr-pow`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`unpow-prod-down` `pow-unpow` `pow-prod-down` `associate-*l/` `rem-cube-cbrt`
2×	`cbrt-undiv` `cube-div` `cube-mult` `unpow3` `cube-prod` `*-commutative`
1×	`cbrt-div` `pow-pow` `pow1/3` `rem-cbrt-cube` `div-inv`

Counts

4 → 115

Calls

4 calls:

17.0ms	(* (* 2.0 PI) u2)
24.0ms	(* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5))
6.0ms	(cbrt (pow (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5)) 3))
14.0ms	(pow (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5)) 3)

series2.2s

Counts

4 → 12

Calls

4 calls:

32.0ms	(* (* 2.0 PI) u2)
684.0ms	(* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5))
677.0ms	(cbrt (pow (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5)) 3))
761.0ms	(pow (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5)) 3)

simplify58.0ms

Counts

127 → 127

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	491	821
1	2035	782
2	5001	780
done	5001	780

prune450.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (pow (/ 1.0 6.0) 3) (pow (pow (* -2.0 (log u1)) 0.5) 3))
0.5b	(cbrt (* (pow (/ 1.0 6.0) 3) (pow (pow (* -2.0 (log u1)) 0.5) 3)))
0.7b	(pow (pow (* -2.0 (log u1)) 0.5) 3)
1.0b	(pow (/ 1.0 6.0) 3)

rewrite87.0ms

Algorithm

rewrite-expression-head

Rules

100×	`add-sqr-sqrt`
64×	`unpow-prod-down`
60×	`cube-prod`
55×	`add-exp-log`
48×	`times-frac`
44×	`pow-exp`
40×	`add-cube-cbrt` `*-un-lft-identity`
36×	`unswap-sqr`
32×	`associate-l` `sqr-pow`
29×	`prod-exp`
17×	`pow-to-exp`
16×	`associate-r`
10×	`add-cbrt-cube`
7×	`div-exp`
6×	`pow-unpow`
5×	`pow1`
4×	`expm1-log1p-u` `cube-mult` `unpow3` `log1p-expm1-u` `div-inv` `add-log-exp`
3×	`cube-div` `rem-cube-cbrt`
2×	`pow-pow` `pow-prod-down` `associate-*l/`
1×	`cbrt-undiv` `cbrt-prod` `cbrt-div` `pow1/3` `*-commutative` `rem-cbrt-cube` `cbrt-unprod`

Counts

4 → 214

Calls

4 calls:

51.0ms	(* (pow (/ 1.0 6.0) 3) (pow (pow (* -2.0 (log u1)) 0.5) 3))
15.0ms	(cbrt (* (pow (/ 1.0 6.0) 3) (pow (pow (* -2.0 (log u1)) 0.5) 3)))
6.0ms	(pow (pow (* -2.0 (log u1)) 0.5) 3)
6.0ms	(pow (/ 1.0 6.0) 3)

series1.7s

Counts

4 → 10

Calls

4 calls:

722.0ms	(* (pow (/ 1.0 6.0) 3) (pow (pow (* -2.0 (log u1)) 0.5) 3))
697.0ms	(cbrt (* (pow (/ 1.0 6.0) 3) (pow (pow (* -2.0 (log u1)) 0.5) 3)))
315.0ms	(pow (pow (* -2.0 (log u1)) 0.5) 3)
0.0ms	(pow (/ 1.0 6.0) 3)

simplify134.0ms

Counts

224 → 224

Iterations

Useful iterations: 2 (117.0ms)

Iter	Nodes	Cost
0	677	1933
1	3392	1824
2	5001	1812
done	5001	1812

prune582.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes332.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	9
1	21	9
done	21	9

end0.0ms

sample991.0ms

Algorithm

intervals

Results

667.0ms	8000×	body	80	valid
113.0ms	8000×	pre	80	true