Details

sample714.0ms

Algorithm

intervals

Results

412.0ms	407×	body	80	nan
69.0ms	74×	body	5120	valid
53.0ms	20×	body	10240	exit
38.0ms	49×	body	2560	valid
24.0ms	218×	body	80	valid
16.0ms	28×	body	1280	valid
7.0ms	16×	body	640	valid
4.0ms	11×	body	320	valid
1.0ms	3×	body	160	valid

simplify2.2s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
3	3344
2	289
1	59
0	21

prune18.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 53.7b

localize112.0ms

Local error

Found 4 expressions with local error:

15.6b	(* (/ (* (/ d D) (/ d D)) h) (/ c0 w))
15.6b	(* (/ (* (/ d D) (/ d D)) h) (/ c0 w))
15.6b	(* (/ (* (/ d D) (/ d D)) h) (/ c0 w))
29.2b	(+ (sqrt (* (+ M (* (/ (* (/ d D) (/ d D)) h) (/ c0 w))) (- (* (/ (* (/ d D) (/ d D)) h) (/ c0 w)) M))) (* (/ (* (/ d D) (/ d D)) h) (/ c0 w)))

rewrite245.0ms

Algorithm

rewrite-expression-head

Rules

172×	`add-cbrt-cube` `add-exp-log`
72×	`cbrt-undiv` `div-exp`
61×	`add-sqr-sqrt`
60×	`prod-exp` `cbrt-unprod`
48×	`times-frac`
39×	`associate-r`
31×	`*-un-lft-identity` `add-cube-cbrt`
24×	`sqrt-div` `frac-add`
23×	`frac-times`
21×	`associate-l`
17×	`associate-l/` `associate-r/`
12×	`unswap-sqr`
10×	`pow1` `flip3-+` `flip-+`
9×	`flip3--` `flip--`
6×	`div-inv` `add-log-exp`
3×	`pow-prod-down` `*-commutative`
1×	`+-commutative` `sum-log`

Counts

4 → 215

Calls

4 calls:

44.0ms	(* (/ (* (/ d D) (/ d D)) h) (/ c0 w))
75.0ms	(* (/ (* (/ d D) (/ d D)) h) (/ c0 w))
50.0ms	(* (/ (* (/ d D) (/ d D)) h) (/ c0 w))
63.0ms	(+ (sqrt (* (+ M (* (/ (* (/ d D) (/ d D)) h) (/ c0 w))) (- (* (/ (* (/ d D) (/ d D)) h) (/ c0 w)) M))) (* (/ (* (/ d D) (/ d D)) h) (/ c0 w)))

series1.3s

Counts

4 → 12

Calls

4 calls:

87.0ms	(* (/ (* (/ d D) (/ d D)) h) (/ c0 w))
78.0ms	(* (/ (* (/ d D) (/ d D)) h) (/ c0 w))
90.0ms	(* (/ (* (/ d D) (/ d D)) h) (/ c0 w))
1.1s	(+ (sqrt (* (+ M (* (/ (* (/ d D) (/ d D)) h) (/ c0 w))) (- (* (/ (* (/ d D) (/ d D)) h) (/ c0 w)) M))) (* (/ (* (/ d D) (/ d D)) h) (/ c0 w)))

simplify3.2s

Counts

227 → 227

Iterations

Iter	Nodes
done	5001
2	4723
1	949
0	317

prune2.0s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 49.8b

localize54.0ms

Local error

Found 4 expressions with local error:

7.0b	(/ (* (* D D) h) d)
7.0b	(/ (* 2 c0) (* (/ w d) (/ (* (* D D) h) d)))
7.9b	(* (/ w d) (/ (* (* D D) h) d))
9.6b	(* (/ (* 2 c0) (* (/ w d) (/ (* (* D D) h) d))) (/ c0 w))

rewrite368.0ms

Algorithm

rewrite-expression-head

Rules

383×	`add-cbrt-cube` `add-exp-log`
166×	`prod-exp` `cbrt-unprod`
146×	`cbrt-undiv` `div-exp`
33×	`add-sqr-sqrt`
28×	`times-frac`
23×	`*-un-lft-identity` `add-cube-cbrt`
21×	`associate-l`
20×	`associate-r`
8×	`pow1`
6×	`associate-/r/` `div-inv`
4×	`frac-times` `associate-/r` `associate-l/` `associate-*r/` `add-log-exp` `unswap-sqr`
2×	`clear-num` `frac-2neg` `pow-prod-down` `-commutative` `associate-/l`

Counts

4 → 236

Calls

4 calls:

29.0ms	(/ (* (* D D) h) d)
40.0ms	(/ (* 2 c0) (* (/ w d) (/ (* (* D D) h) d)))
52.0ms	(* (/ w d) (/ (* (* D D) h) d))
217.0ms	(* (/ (* 2 c0) (* (/ w d) (/ (* (* D D) h) d))) (/ c0 w))

series407.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(/ (* (* D D) h) d)
125.0ms	(/ (* 2 c0) (* (/ w d) (/ (* (* D D) h) d)))
98.0ms	(* (/ w d) (/ (* (* D D) h) d))
156.0ms	(* (/ (* 2 c0) (* (/ w d) (/ (* (* D D) h) d))) (/ c0 w))

simplify1.7s

Counts

248 → 248

Iterations

Iter	Nodes
done	5001
1	1347
0	341

prune1.6s

Pruning

25 alts after pruning (25 fresh and 0 done)

Merged error: 42.6b

localize50.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* w D) (* w D))
0.4b	(/ 2 (* (* w D) (* w D)))
5.1b	(/ (* (* d c0) (* d c0)) h)
17.4b	(* (/ 2 (* (* w D) (* w D))) (/ (* (* d c0) (* d c0)) h))

rewrite305.0ms

Algorithm

rewrite-expression-head

Rules

280×	`add-cbrt-cube` `add-exp-log`
156×	`prod-exp` `cbrt-unprod`
70×	`cbrt-undiv` `div-exp`
45×	`pow1`
20×	`add-sqr-sqrt`
18×	`pow-prod-down`
16×	`times-frac`
12×	`*-un-lft-identity` `add-cube-cbrt`
8×	`associate-r` `associate-l`
4×	`associate-/r` `pow-sqr` `pow-prod-up` `div-inv` `associate-/l` `add-log-exp` `unswap-sqr`
2×	`clear-num` `frac-2neg` `pow-plus` `*-commutative`
1×	`pow2` `frac-times` `swap-sqr` `associate-l/` `associate-r/`

Counts

4 → 190

Calls

4 calls:

40.0ms	(* (* w D) (* w D))
37.0ms	(/ 2 (* (* w D) (* w D)))
47.0ms	(/ (* (* d c0) (* d c0)) h)
156.0ms	(* (/ 2 (* (* w D) (* w D))) (/ (* (* d c0) (* d c0)) h))

series356.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(* (* w D) (* w D))
41.0ms	(/ 2 (* (* w D) (* w D)))
51.0ms	(/ (* (* d c0) (* d c0)) h)
221.0ms	(* (/ 2 (* (* w D) (* w D))) (/ (* (* d c0) (* d c0)) h))

simplify1.4s

Counts

202 → 202

Iterations

Iter	Nodes
done	5000
1	958
0	245

prune1.3s

Pruning

34 alts after pruning (34 fresh and 0 done)

Merged error: 38.3b

localize41.0ms

Local error

Found 4 expressions with local error:

0.4b	(/ 2 (* w D))
5.1b	(/ (* (* d c0) (* d c0)) h)
8.9b	(* (/ 1 (* w D)) (* (/ 2 (* w D)) (/ (* (* d c0) (* d c0)) h)))
10.8b	(* (/ 2 (* w D)) (/ (* (* d c0) (* d c0)) h))

rewrite421.0ms

Algorithm

rewrite-expression-head

Rules

1006×	`add-exp-log`
583×	`prod-exp`
516×	`add-cbrt-cube`
299×	`div-exp`
277×	`cbrt-unprod`
153×	`cbrt-undiv`
38×	`rec-exp` `1-exp`
18×	`add-sqr-sqrt`
16×	`times-frac`
14×	`-un-lft-identity` `associate-l*` `add-cube-cbrt`
11×	`pow1`
8×	`associate-r`
6×	`frac-times` `associate-*r/`
5×	`div-inv`
4×	`associate-/r` `pow-prod-down` `associate-l/` `associate-/l*` `add-log-exp`
2×	`clear-num` `frac-2neg` `*-commutative` `unswap-sqr`

Counts

4 → 327

Calls

4 calls:

6.0ms	(/ 2 (* w D))
36.0ms	(/ (* (* d c0) (* d c0)) h)
239.0ms	(* (/ 1 (* w D)) (* (/ 2 (* w D)) (/ (* (* d c0) (* d c0)) h)))
90.0ms	(* (/ 2 (* w D)) (/ (* (* d c0) (* d c0)) h))

series348.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(/ 2 (* w D))
41.0ms	(/ (* (* d c0) (* d c0)) h)
140.0ms	(* (/ 1 (* w D)) (* (/ 2 (* w D)) (/ (* (* d c0) (* d c0)) h)))
143.0ms	(* (/ 2 (* w D)) (/ (* (* d c0) (* d c0)) h))

simplify1.5s

Counts

339 → 339

Iterations

Iter	Nodes
done	5000
1	1768
0	422

prune1.4s

Pruning

34 alts after pruning (34 fresh and 0 done)

Merged error: 36.7b

regimes3.1s

Accuracy

2.7% (13.9b remaining)

Error of 50.3b against oracle of 36.4b and baseline of 50.7b

bsearch862.0ms

Steps

Iters	Range		Point
9	7.211327354880629e+30	6.405278965694826e+37	6.4322804661969174e+32
11	-2.395968948291283e-165	-6.131762381930565e-188	-3.703832811596682e-173

simplify9.0ms

Iterations

Iter	Nodes
done	43
1	43
0	32

end0.0ms

sample14.9s

Algorithm

intervals

Results

3.7s	2359×	body	5120	valid
2.7s	12935×	body	80	nan
1.9s	6729×	body	80	valid
1.6s	1701×	body	2560	valid
1.1s	608×	body	10240	exit
775.0ms	877×	body	1280	valid
707.0ms	468×	body	640	valid
83.0ms	231×	body	320	valid
24.0ms	102×	body	160	valid