Details

sample39.0ms

Algorithm

intervals

Results

20.0ms

272×

body

valid

simplify44.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	72
5	72
4	66
3	48
2	36
1	19
0	11

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 23.7b

localize40.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* b c) (* a d))
23.2b	(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 44

Calls

2 calls:

10.0ms	(- (* b c) (* a d))
33.0ms	(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))

series201.0ms

Counts

2 → 6

Calls

2 calls:

70.0ms	(- (* b c) (* a d))
131.0ms	(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))

simplify1.8s

Counts

50 → 50

Iterations

Iter	Nodes
done	5001
3	4329
2	980
1	254
0	86

prune396.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 21.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ (* b c) (+ (* c c) (* d d))) (/ a (/ (+ (* c c) (* d d)) d)))
2.9b	(/ a (/ (+ (* c c) (* d d)) d))
14.8b	(/ (* b c) (+ (* c c) (* d d)))
17.3b	(/ (+ (* c c) (* d d)) d)

rewrite173.0ms

Algorithm

rewrite-expression-head

Rules

90×	`times-frac`
65×	`add-sqr-sqrt`
58×	`*-un-lft-identity`
56×	`add-cube-cbrt`
19×	`associate-/r*`
16×	`add-cbrt-cube` `add-exp-log`
7×	`div-inv` `associate-/l*`
6×	`cbrt-undiv` `div-exp` `add-log-exp`
4×	`pow1`
3×	`clear-num` `frac-2neg` `associate-/r/` `difference-of-squares`
2×	`flip3-+` `flip-+` `associate-/l/`
1×	`sub-neg` `flip3--` `diff-log` `prod-exp` `frac-sub` `cbrt-unprod` `flip--` `distribute-lft-out--`

Counts

4 → 139

Calls

4 calls:

95.0ms	(- (/ (* b c) (+ (* c c) (* d d))) (/ a (/ (+ (* c c) (* d d)) d)))
12.0ms	(/ a (/ (+ (* c c) (* d d)) d))
18.0ms	(/ (* b c) (+ (* c c) (* d d)))
40.0ms	(/ (+ (* c c) (* d d)) d)

series375.0ms

Counts

4 → 12

Calls

4 calls:

169.0ms	(- (/ (* b c) (+ (* c c) (* d d))) (/ a (/ (+ (* c c) (* d d)) d)))
67.0ms	(/ a (/ (+ (* c c) (* d d)) d))
75.0ms	(/ (* b c) (+ (* c c) (* d d)))
63.0ms	(/ (+ (* c c) (* d d)) d)

simplify1.1s

Counts

151 → 151

Iterations

Iter	Nodes
done	5001
2	3543
1	670
0	242

prune865.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 10.8b

localize40.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ (* b c) (+ (* c c) (* d d))) (/ a (+ d (/ c (/ d c)))))
0.1b	(/ c (/ d c))
2.9b	(/ a (+ d (/ c (/ d c))))
14.8b	(/ (* b c) (+ (* c c) (* d d)))

rewrite194.0ms

Algorithm

rewrite-expression-head

Rules

91×	`times-frac`
67×	`*-un-lft-identity`
62×	`add-sqr-sqrt`
57×	`add-cube-cbrt`
20×	`associate-/r*`
16×	`add-cbrt-cube` `add-exp-log`
7×	`div-inv` `associate-/l*`
6×	`cbrt-undiv` `div-exp` `add-log-exp`
5×	`associate-/r/`
4×	`pow1` `distribute-lft-out`
3×	`clear-num` `frac-2neg`
2×	`flip3-+` `flip-+` `difference-of-squares`
1×	`sub-neg` `flip3--` `diff-log` `prod-exp` `frac-sub` `cbrt-unprod` `flip--` `distribute-lft-out--`

Counts

4 → 142

Calls

4 calls:

116.0ms	(- (/ (* b c) (+ (* c c) (* d d))) (/ a (+ d (/ c (/ d c)))))
9.0ms	(/ c (/ d c))
47.0ms	(/ a (+ d (/ c (/ d c))))
13.0ms	(/ (* b c) (+ (* c c) (* d d)))

series295.0ms

Counts

4 → 12

Calls

4 calls:

158.0ms	(- (/ (* b c) (+ (* c c) (* d d))) (/ a (+ d (/ c (/ d c)))))
31.0ms	(/ c (/ d c))
42.0ms	(/ a (+ d (/ c (/ d c))))
64.0ms	(/ (* b c) (+ (* c c) (* d d)))

simplify1.7s

Counts

154 → 154

Iterations

Iter	Nodes
done	5001
2	4192
1	737
0	276

prune820.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 10.1b

localize34.0ms

Local error

Found 4 expressions with local error:

1.9b	(* (/ b (sqrt (+ (* c c) (* d d)))) (/ c (sqrt (+ (* c c) (* d d)))))
2.9b	(/ a (+ d (/ c (/ d c))))
27.1b	(sqrt (+ (* c c) (* d d)))
27.1b	(sqrt (+ (* c c) (* d d)))

rewrite111.0ms

Algorithm

rewrite-expression-head

Rules

73×	`add-sqr-sqrt`
60×	`times-frac`
49×	`*-un-lft-identity`
41×	`add-cube-cbrt`
30×	`sqrt-prod`
24×	`associate-r` `associate-l`
18×	`add-cbrt-cube` `add-exp-log`
9×	`unswap-sqr`
8×	`pow1` `sqrt-div`
6×	`associate-/r/`
5×	`cbrt-undiv` `flip3-+` `div-exp` `flip-+`
4×	`associate-/r*` `prod-exp` `cbrt-unprod` `distribute-lft-out` `add-log-exp`
3×	`div-inv` `associate-/l*`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`
1×	`frac-times` `clear-num` `frac-2neg` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative`

Counts

4 → 140

Calls

4 calls:

58.0ms	(* (/ b (sqrt (+ (* c c) (* d d)))) (/ c (sqrt (+ (* c c) (* d d)))))
35.0ms	(/ a (+ d (/ c (/ d c))))
6.0ms	(sqrt (+ (* c c) (* d d)))
6.0ms	(sqrt (+ (* c c) (* d d)))

series184.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(* (/ b (sqrt (+ (* c c) (* d d)))) (/ c (sqrt (+ (* c c) (* d d)))))
38.0ms	(/ a (+ d (/ c (/ d c))))
40.0ms	(sqrt (+ (* c c) (* d d)))
50.0ms	(sqrt (+ (* c c) (* d d)))

simplify1.1s

Counts

152 → 152

Iterations

Iter	Nodes
done	5001
2	2774
1	599
0	211

prune669.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 10.1b

regimes238.0ms

Accuracy

0% (2.1b remaining)

Error of 14.6b against oracle of 12.6b and baseline of 14.6b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	19
1	19
0	16

end0.0ms

sample1.0s

Algorithm

intervals

Results

780.0ms

8438×

body

valid