Details

sample45.0ms

Algorithm

intervals

Results

14.0ms	297×	body	80	valid
5.0ms	95×	body	80	nan

simplify3.7s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	18
1	36	18
2	81	18
3	176	18
4	422	18
5	1174	18
6	4570	18
done	5000	18

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.9b

localize19.0ms

Local error

Found 4 expressions with local error:

2.6b	(* w0 (sqrt (- 1.0 (* (pow (/ (* M D) (* 2.0 d)) 2.0) (/ h l)))))
3.5b	(sqrt (- 1.0 (* (pow (/ (* M D) (* 2.0 d)) 2.0) (/ h l))))
4.7b	(/ (* M D) (* 2.0 d))
9.6b	(* (pow (/ (* M D) (* 2.0 d)) 2.0) (/ h l))

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

67×	`add-exp-log`
35×	`add-sqr-sqrt`
27×	`prod-exp`
23×	`add-cbrt-cube`
19×	`div-exp` `associate-r`
17×	`add-cube-cbrt` `*-un-lft-identity`
14×	`times-frac`
12×	`associate-l`
10×	`pow-exp`
8×	`unswap-sqr`
7×	`pow1` `unpow-prod-down` `sqrt-prod` `cbrt-unprod`
5×	`cbrt-undiv`
4×	`sqrt-div` `add-log-exp`
3×	`associate-*r/` `div-inv` `sqr-pow`
2×	`pow-to-exp` `flip3--` `*-commutative` `flip--`
1×	`rem-sqrt-square` `frac-2neg` `sqrt-pow1` `pow1/2` `pow-prod-down` `clear-num` `associate-/r` `associate-/l`

Counts

4 → 113

Calls

4 calls:

19.0ms	(* w0 (sqrt (- 1.0 (* (pow (/ (* M D) (* 2.0 d)) 2.0) (/ h l)))))
5.0ms	(sqrt (- 1.0 (* (pow (/ (* M D) (* 2.0 d)) 2.0) (/ h l))))
12.0ms	(/ (* M D) (* 2.0 d))
30.0ms	(* (pow (/ (* M D) (* 2.0 d)) 2.0) (/ h l))

series1.6s

Counts

4 → 12

Calls

4 calls:

432.0ms	(* w0 (sqrt (- 1.0 (* (pow (/ (* M D) (* 2.0 d)) 2.0) (/ h l)))))
403.0ms	(sqrt (- 1.0 (* (pow (/ (* M D) (* 2.0 d)) 2.0) (/ h l))))
29.0ms	(/ (* M D) (* 2.0 d))
703.0ms	(* (pow (/ (* M D) (* 2.0 d)) 2.0) (/ h l))

simplify917.0ms

Counts

125 → 125

Iterations

Useful iterations: 2 (285.0ms)

Iter	Nodes	Cost
0	236	2311
1	577	2083
2	2262	1927
done	5000	1927

prune371.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 6.5b

localize14.0ms

Local error

Found 4 expressions with local error:

3.2b	(* (pow (/ (* M D) (* 2.0 d)) 2.0) h)
3.5b	(sqrt (- 1.0 (/ (* (pow (/ (* M D) (* 2.0 d)) 2.0) h) l)))
4.7b	(/ (* M D) (* 2.0 d))
5.5b	(/ (* (pow (/ (* M D) (* 2.0 d)) 2.0) h) l)

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

67×	`add-exp-log`
26×	`prod-exp`
23×	`add-cbrt-cube`
20×	`div-exp`
18×	`add-sqr-sqrt`
12×	`*-un-lft-identity`
10×	`add-cube-cbrt` `pow-exp`
9×	`associate-l`
6×	`cbrt-undiv` `unpow-prod-down` `cbrt-unprod`
5×	`pow1` `times-frac` `sqrt-prod`
4×	`associate-/r*` `add-log-exp`
3×	`associate-r` `div-inv` `unswap-sqr`
2×	`pow-to-exp` `frac-2neg` `sqrt-div` `clear-num` `associate-/l*` `sqr-pow`
1×	`rem-sqrt-square` `flip3--` `sqrt-pow1` `pow1/2` `*-commutative` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 96

Calls

4 calls:

25.0ms	(* (pow (/ (* M D) (* 2.0 d)) 2.0) h)
11.0ms	(sqrt (- 1.0 (/ (* (pow (/ (* M D) (* 2.0 d)) 2.0) h) l)))
12.0ms	(/ (* M D) (* 2.0 d))
15.0ms	(/ (* (pow (/ (* M D) (* 2.0 d)) 2.0) h) l)

series1.9s

Counts

4 → 12

Calls

4 calls:

751.0ms	(* (pow (/ (* M D) (* 2.0 d)) 2.0) h)
394.0ms	(sqrt (- 1.0 (/ (* (pow (/ (* M D) (* 2.0 d)) 2.0) h) l)))
28.0ms	(/ (* M D) (* 2.0 d))
709.0ms	(/ (* (pow (/ (* M D) (* 2.0 d)) 2.0) h) l)

simplify795.0ms

Counts

108 → 108

Iterations

Useful iterations: 2 (276.0ms)

Iter	Nodes	Cost
0	224	1799
1	534	1636
2	2229	1480
done	5000	1480

prune348.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 6.3b

localize16.0ms

Local error

Found 4 expressions with local error:

4.7b	(/ (* M D) (* 2.0 d))
4.7b	(/ (* M D) (* 2.0 d))
5.5b	(/ (* (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) (* (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) h)) l)
6.1b	(* (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) h)

rewrite102.0ms

Algorithm

rewrite-expression-head

Rules

373×	`add-exp-log`
184×	`prod-exp`
129×	`div-exp`
80×	`pow-exp`
39×	`add-cbrt-cube`
16×	`pow-to-exp`
14×	`add-sqr-sqrt`
12×	`cbrt-unprod`
11×	`cbrt-undiv`
9×	`add-cube-cbrt` `-un-lft-identity` `associate-l*`
6×	`unpow-prod-down` `times-frac`
5×	`associate-/r*`
4×	`pow1` `div-inv` `add-log-exp`
3×	`frac-2neg` `associate-r` `clear-num` `associate-/l*` `unswap-sqr`
2×	`sqr-pow`
1×	`*-commutative`

Counts

4 → 150

Calls

4 calls:

13.0ms	(/ (* M D) (* 2.0 d))
12.0ms	(/ (* M D) (* 2.0 d))
43.0ms	(/ (* (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) (* (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) h)) l)
23.0ms	(* (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) h)

series1.5s

Counts

4 → 12

Calls

4 calls:

29.0ms	(/ (* M D) (* 2.0 d))
36.0ms	(/ (* M D) (* 2.0 d))
719.0ms	(/ (* (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) (* (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) h)) l)
764.0ms	(* (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) h)

simplify1.1s

Counts

162 → 162

Iterations

Useful iterations: 2 (311.0ms)

Iter	Nodes	Cost
0	283	3862
1	628	2727
2	2578	2399
done	5000	2399

prune370.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 6.3b

localize16.0ms

Local error

Found 4 expressions with local error:

4.7b	(/ (* M D) (* 2.0 d))
4.7b	(/ (* M D) (* 2.0 d))
6.1b	(* (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) h)
6.3b	(/ (* (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) h) l)

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

79×	`add-exp-log`
35×	`add-cbrt-cube`
30×	`prod-exp`
24×	`div-exp`
14×	`add-sqr-sqrt`
10×	`cbrt-undiv` `pow-exp` `cbrt-unprod`
9×	`add-cube-cbrt` `-un-lft-identity` `associate-l*`
6×	`unpow-prod-down` `times-frac`
5×	`associate-/r*`
4×	`pow1` `div-inv` `add-log-exp`
3×	`frac-2neg` `associate-r` `clear-num` `associate-/l*` `unswap-sqr`
2×	`pow-to-exp` `sqr-pow`
1×	`*-commutative`

Counts

4 → 100

Calls

4 calls:

14.0ms	(/ (* M D) (* 2.0 d))
12.0ms	(/ (* M D) (* 2.0 d))
24.0ms	(* (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) h)
19.0ms	(/ (* (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) h) l)

series1.5s

Counts

4 → 12

Calls

4 calls:

28.0ms	(/ (* M D) (* 2.0 d))
34.0ms	(/ (* M D) (* 2.0 d))
726.0ms	(* (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) h)
714.0ms	(/ (* (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) h) l)

simplify760.0ms

Counts

112 → 112

Iterations

Useful iterations: 2 (216.0ms)

Iter	Nodes	Cost
0	188	1746
1	469	1640
2	2120	1398
done	5001	1398

prune347.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 6.3b

regimes665.0ms

Accuracy

0% (1.4b remaining)

Error of 8.4b against oracle of 7.0b and baseline of 8.4b

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	32
1	25	32
done	25	32

end0.0ms

sample1.3s

Algorithm

intervals

Results

453.0ms	9337×	body	80	valid
166.0ms	3102×	body	80	nan