Details

sample58.0ms

Algorithm

intervals

Results

32.0ms

272×

body

valid

simplify51.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	15
1	19	15
2	36	15
3	48	15
4	66	15
5	70	15
done	70	15

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.1b

localize12.0ms

Local error

Found 2 expressions with local error:

0.5b	(- (* b c) (* a d))
29.4b	(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
4×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`associate-/r` `associate-/l`
2×	`pow1` `flip3--` `associate-/r/` `flip--` `associate-/l/`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `flip3-+` `diff-log` `div-sub` `div-exp` `clear-num` `flip-+` `div-inv`

Counts

2 → 44

Calls

2 calls:

8.0ms	(- (* b c) (* a d))
46.0ms	(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))

series218.0ms

Counts

2 → 6

Calls

2 calls:

76.0ms	(- (* b c) (* a d))
142.0ms	(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))

simplify2.4s

Counts

50 → 50

Iterations

Useful iterations: 3 (766.0ms)

Iter	Nodes	Cost
0	88	954
1	252	936
2	857	854
3	2867	850
done	5000	850

prune206.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 29.2b

localize31.0ms

Local error

Found 4 expressions with local error:

0.5b	(- (* b c) (* a d))
17.6b	(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
30.9b	(sqrt (+ (* c c) (* d d)))
30.9b	(sqrt (+ (* c c) (* d d)))

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
21×	`add-cube-cbrt` `*-un-lft-identity`
18×	`times-frac` `sqrt-prod`
6×	`pow1` `add-exp-log` `sqrt-div` `associate-/r*` `add-cbrt-cube` `add-log-exp`
3×	`flip3-+` `flip-+` `associate-/l*`
2×	`rem-sqrt-square` `flip3--` `sqrt-pow1` `pow1/2` `associate-/r/` `flip--` `associate-/l/`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `diff-log` `div-sub` `div-exp` `clear-num` `div-inv`

Counts

4 → 86

Calls

4 calls:

15.0ms	(- (* b c) (* a d))
40.0ms	(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
15.0ms	(sqrt (+ (* c c) (* d d)))
15.0ms	(sqrt (+ (* c c) (* d d)))

series361.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(- (* b c) (* a d))
205.0ms	(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
41.0ms	(sqrt (+ (* c c) (* d d)))
61.0ms	(sqrt (+ (* c c) (* d d)))

simplify2.1s

Counts

98 → 98

Iterations

Useful iterations: 3 (658.0ms)

Iter	Nodes	Cost
0	120	1814
1	306	1682
2	888	1574
3	2547	1558
done	5000	1558

prune522.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 27.2b

localize35.0ms

Local error

Found 4 expressions with local error:

0.5b	(- (* b c) (* a d))
17.7b	(/ (sqrt (+ (* c c) (* d d))) (- (* b c) (* a d)))
30.9b	(sqrt (+ (* c c) (* d d)))
30.9b	(sqrt (+ (* c c) (* d d)))

rewrite112.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
21×	`add-cube-cbrt` `*-un-lft-identity`
18×	`times-frac` `sqrt-prod`
6×	`pow1` `add-exp-log` `sqrt-div` `add-cbrt-cube` `associate-/l*` `add-log-exp`
3×	`flip3-+` `associate-/r*` `flip-+`
2×	`rem-sqrt-square` `flip3--` `sqrt-pow1` `pow1/2` `associate-/r/` `flip--` `associate-/l/`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `diff-log` `div-exp` `clear-num` `div-inv`

Counts

4 → 85

Calls

4 calls:

26.0ms	(- (* b c) (* a d))
48.0ms	(/ (sqrt (+ (* c c) (* d d))) (- (* b c) (* a d)))
15.0ms	(sqrt (+ (* c c) (* d d)))
16.0ms	(sqrt (+ (* c c) (* d d)))

series294.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(- (* b c) (* a d))
101.0ms	(/ (sqrt (+ (* c c) (* d d))) (- (* b c) (* a d)))
66.0ms	(sqrt (+ (* c c) (* d d)))
71.0ms	(sqrt (+ (* c c) (* d d)))

simplify3.8s

Counts

97 → 97

Iterations

Useful iterations: 4 (2.4s)

Iter	Nodes	Cost
0	115	1782
1	266	1664
2	705	1562
3	1781	1548
4	4314	1547
done	5000	1547

prune442.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 27.2b

localize48.0ms

Local error

Found 4 expressions with local error:

0.5b	(- (* b c) (* d a))
17.6b	(/ (- (* b c) (* d a)) (sqrt (+ (* c c) (* d d))))
30.9b	(sqrt (+ (* c c) (* d d)))
30.9b	(sqrt (+ (* c c) (* d d)))

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
21×	`add-cube-cbrt` `*-un-lft-identity`
18×	`times-frac` `sqrt-prod`
6×	`pow1` `add-exp-log` `sqrt-div` `associate-/r*` `add-cbrt-cube` `add-log-exp`
3×	`flip3-+` `flip-+` `associate-/l*`
2×	`rem-sqrt-square` `flip3--` `sqrt-pow1` `pow1/2` `associate-/r/` `flip--` `associate-/l/`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `diff-log` `div-sub` `div-exp` `clear-num` `div-inv`

Counts

4 → 86

Calls

4 calls:

8.0ms	(- (* b c) (* d a))
50.0ms	(/ (- (* b c) (* d a)) (sqrt (+ (* c c) (* d d))))
8.0ms	(sqrt (+ (* c c) (* d d)))
8.0ms	(sqrt (+ (* c c) (* d d)))

series305.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(- (* b c) (* d a))
171.0ms	(/ (- (* b c) (* d a)) (sqrt (+ (* c c) (* d d))))
41.0ms	(sqrt (+ (* c c) (* d d)))
42.0ms	(sqrt (+ (* c c) (* d d)))

simplify1.9s

Counts

98 → 98

Iterations

Useful iterations: 3 (508.0ms)

Iter	Nodes	Cost
0	118	1814
1	303	1682
2	883	1574
3	2567	1558
done	5000	1558

prune355.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 27.2b

regimes176.0ms

Accuracy

0% (3.3b remaining)

Error of 26.4b against oracle of 23.1b and baseline of 26.4b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	27
1	20	27
done	20	27

end0.0ms

sample899.0ms

Algorithm

intervals

Results

535.0ms

8494×

body

valid