Details

sample320.0ms

Algorithm

intervals

Results

88.0ms	256×	body	80	valid
12.0ms	256×	pre	80	true

simplify3.5s

Counts

1 → 1

Iterations

Iter	Nodes
6	3527
5	1264
4	443
3	158
2	71
1	36
0	18

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize49.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (cos (* 2 (* PI u2))) (* 1/6 (pow (* -2 (log u1)) 0.5)))
0.1b	(pow (* -2 (log u1)) 0.5)
0.3b	(* PI u2)
0.4b	(* 1/6 (pow (* -2 (log u1)) 0.5))

rewrite142.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-exp-log`
17×	`prod-exp`
15×	`add-sqr-sqrt`
13×	`add-cbrt-cube`
11×	`pow1`
10×	`*-un-lft-identity` `add-cube-cbrt`
9×	`associate-r` `associate-l`
6×	`pow-exp`
5×	`cbrt-unprod`
4×	`insert-posit16` `add-log-exp`
3×	`pow-to-exp` `pow-unpow` `pow-prod-down` `*-commutative` `unswap-sqr` `sqr-pow`
2×	`unpow-prod-down` `pow-pow`

Counts

4 → 82

Calls

4 calls:

93.0ms	(* (cos (* 2 (* PI u2))) (* 1/6 (pow (* -2 (log u1)) 0.5)))
10.0ms	(pow (* -2 (log u1)) 0.5)
11.0ms	(* PI u2)
23.0ms	(* 1/6 (pow (* -2 (log u1)) 0.5))

series1.9s

Counts

4 → 12

Calls

4 calls:

450.0ms	(* (cos (* 2 (* PI u2))) (* 1/6 (pow (* -2 (log u1)) 0.5)))
339.0ms	(pow (* -2 (log u1)) 0.5)
44.0ms	(* PI u2)
1.1s	(* 1/6 (pow (* -2 (log u1)) 0.5))

simplify1.4s

Counts

94 → 94

Iterations

Iter	Nodes
3	3568
2	993
1	350
0	157

prune1.2s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize57.0ms

Local error

Found 4 expressions with local error:

0.1b	(pow (* -2 (log u1)) 0.5)
0.2b	(* (sqrt 1/6) (* (sqrt 1/6) (pow (* -2 (log u1)) 0.5)))
0.3b	(* PI u2)
0.3b	(* (sqrt 1/6) (pow (* -2 (log u1)) 0.5))

rewrite452.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-exp-log`
20×	`add-sqr-sqrt`
17×	`prod-exp`
15×	`associate-l`
13×	`add-cbrt-cube`
12×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`associate-r`
8×	`sqrt-prod`
6×	`pow-exp`
5×	`cbrt-unprod` `unswap-sqr`
4×	`insert-posit16` `add-log-exp` `sqr-pow`
3×	`pow-to-exp` `pow-unpow` `pow-prod-down` `*-commutative`
2×	`unpow-prod-down` `pow-pow`

Counts

4 → 90

Calls

4 calls:

5.0ms	(pow (* -2 (log u1)) 0.5)
425.0ms	(* (sqrt 1/6) (* (sqrt 1/6) (pow (* -2 (log u1)) 0.5)))
5.0ms	(* PI u2)
16.0ms	(* (sqrt 1/6) (pow (* -2 (log u1)) 0.5))

series2.5s

Counts

4 → 12

Calls

4 calls:

376.0ms	(pow (* -2 (log u1)) 0.5)
1.1s	(* (sqrt 1/6) (* (sqrt 1/6) (pow (* -2 (log u1)) 0.5)))
30.0ms	(* PI u2)
1.0s	(* (sqrt 1/6) (pow (* -2 (log u1)) 0.5))

simplify774.0ms

Counts

102 → 102

Iterations

Iter	Nodes
3	2295
2	864
1	316
0	145

prune1.6s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.1b	(pow (* (log u1) -2) 0.5)
0.3b	(* PI u2)
0.4b	(* 1/6 (pow (* (log u1) -2) 0.5))
0.9b	(exp (* 1/6 (pow (* (log u1) -2) 0.5)))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-exp-log`
14×	`add-sqr-sqrt`
9×	`pow1` `*-un-lft-identity` `add-cube-cbrt`
8×	`add-cbrt-cube` `associate-r`
7×	`prod-exp`
6×	`associate-l` `add-log-exp`
4×	`pow-exp` `insert-posit16`
3×	`pow-unpow` `unswap-sqr` `sqr-pow`
2×	`pow-to-exp` `unpow-prod-down` `pow-pow` `pow-prod-down` `*-commutative` `cbrt-unprod`
1×	`exp-prod` `exp-to-pow` `rem-exp-log`

Counts

4 → 72

Calls

4 calls:

5.0ms	(pow (* (log u1) -2) 0.5)
5.0ms	(* PI u2)
10.0ms	(* 1/6 (pow (* (log u1) -2) 0.5))
15.0ms	(exp (* 1/6 (pow (* (log u1) -2) 0.5)))

series2.7s

Counts

4 → 12

Calls

4 calls:

352.0ms	(pow (* (log u1) -2) 0.5)
47.0ms	(* PI u2)
1.1s	(* 1/6 (pow (* (log u1) -2) 0.5))
1.2s	(exp (* 1/6 (pow (* (log u1) -2) 0.5)))

simplify2.5s

Counts

84 → 84

Iterations

Iter	Nodes
4	4888
3	1493
2	629
1	269
0	133

prune1.2s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

localize70.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (pow (* (log u1) -2) 0.5) 1/216)
0.5b	(* (pow (* (log u1) -2) 0.5) (pow (* (log u1) -2) 0.5))
0.5b	(cbrt (* (* (pow (* (log u1) -2) 0.5) (pow (* (log u1) -2) 0.5)) (* (pow (* (log u1) -2) 0.5) 1/216)))
0.9b	(exp (cbrt (* (* (pow (* (log u1) -2) 0.5) (pow (* (log u1) -2) 0.5)) (* (pow (* (log u1) -2) 0.5) 1/216))))

rewrite178.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-exp-log`
29×	`prod-exp`
18×	`add-sqr-sqrt` `pow-exp`
11×	`*-un-lft-identity` `add-cube-cbrt`
10×	`associate-l` `sqr-pow`
9×	`pow-to-exp`
8×	`add-cbrt-cube` `associate-r`
6×	`unswap-sqr`
5×	`unpow-prod-down` `swap-sqr` `add-log-exp`
4×	`pow1` `exp-prod` `insert-posit16`
2×	`cbrt-prod` `*-commutative` `cbrt-unprod`
1×	`pow2` `pow1/3` `pow-prod-down` `pow-sqr` `pow-prod-up` `rem-exp-log`

Counts

4 → 96

Calls

4 calls:

22.0ms	(* (pow (* (log u1) -2) 0.5) 1/216)
33.0ms	(* (pow (* (log u1) -2) 0.5) (pow (* (log u1) -2) 0.5))
53.0ms	(cbrt (* (* (pow (* (log u1) -2) 0.5) (pow (* (log u1) -2) 0.5)) (* (pow (* (log u1) -2) 0.5) 1/216)))
68.0ms	(exp (cbrt (* (* (pow (* (log u1) -2) 0.5) (pow (* (log u1) -2) 0.5)) (* (pow (* (log u1) -2) 0.5) 1/216))))

series4.3s

Counts

4 → 12

Calls

4 calls:

1.2s	(* (pow (* (log u1) -2) 0.5) 1/216)
1.0s	(* (pow (* (log u1) -2) 0.5) (pow (* (log u1) -2) 0.5))
985.0ms	(cbrt (* (* (pow (* (log u1) -2) 0.5) (pow (* (log u1) -2) 0.5)) (* (pow (* (log u1) -2) 0.5) 1/216)))
1.1s	(exp (cbrt (* (* (pow (* (log u1) -2) 0.5) (pow (* (log u1) -2) 0.5)) (* (pow (* (log u1) -2) 0.5) 1/216))))

simplify1.8s

Counts

108 → 108

Iterations

Iter	Nodes
3	3255
2	957
1	369
0	162

prune2.0s

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0b

regimes563.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify8.0ms

Iterations

Iter	Nodes
2	25
1	25
0	18

end0.0ms

sample3.4s

Algorithm

intervals

Results

2.3s	8000×	body	80	valid
899.0ms	8000×	pre	80	true