Details

sample41.0ms

Algorithm

intervals

Results

23.0ms

269×

body

valid

simplify10.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	15
1	15
0	11

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 25.2b

localize33.0ms

Local error

Found 2 expressions with local error:

0.7b	(+ (* a c) (* b d))
25.2b	(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))

rewrite67.0ms

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` `flip3-+` `flip-+` `associate-/l`
2×	`pow1` `associate-/r/` `insert-posit16` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `frac-2neg` `div-exp` `div-inv`

Counts

2 → 44

Calls

2 calls:

14.0ms	(+ (* a c) (* b d))
51.0ms	(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))

series133.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(+ (* a c) (* b d))
93.0ms	(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))

simplify2.2s

Counts

50 → 50

Iterations

Iter	Nodes
done	5001
3	2586
2	777
1	237
0	85

prune338.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 24.8b

localize38.0ms

Local error

Found 4 expressions with local error:

0.7b	(+ (* a c) (* b d))
14.5b	(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
29.5b	(sqrt (+ (* c c) (* d d)))
29.5b	(sqrt (+ (* c c) (* d d)))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
21×	`*-un-lft-identity` `add-cube-cbrt`
18×	`times-frac` `sqrt-prod`
6×	`pow1` `associate-/r*` `add-cbrt-cube` `sqrt-div` `add-exp-log` `add-log-exp`
5×	`flip3-+` `flip-+`
4×	`insert-posit16`
3×	`associate-/l*`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `frac-2neg` `div-exp` `div-inv`

Counts

4 → 88

Calls

4 calls:

8.0ms	(+ (* a c) (* b d))
35.0ms	(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
8.0ms	(sqrt (+ (* c c) (* d d)))
8.0ms	(sqrt (+ (* c c) (* d d)))

series297.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(+ (* a c) (* b d))
155.0ms	(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
40.0ms	(sqrt (+ (* c c) (* d d)))
48.0ms	(sqrt (+ (* c c) (* d d)))

simplify2.4s

Counts

100 → 100

Iterations

Iter	Nodes
done	5000
3	2122
2	772
1	281
0	117

prune749.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 22.2b

localize37.0ms

Local error

Found 4 expressions with local error:

7.7b	(/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d)))))
29.5b	(sqrt (+ (* c c) (* d d)))
29.5b	(sqrt (+ (* c c) (* d d)))
29.5b	(sqrt (+ (* c c) (* d d)))

rewrite86.0ms

Algorithm

rewrite-expression-head

Rules

45×	`sqrt-prod`
32×	`add-sqr-sqrt`
29×	`*-un-lft-identity` `add-cube-cbrt`
27×	`times-frac`
10×	`sqrt-div`
9×	`associate-/r*`
7×	`pow1`
6×	`add-cbrt-cube` `add-exp-log`
5×	`flip3-+` `flip-+`
4×	`insert-posit16` `add-log-exp`
3×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-/l*`
2×	`associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `div-inv`

Counts

4 → 104

Calls

4 calls:

47.0ms	(/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d)))))
14.0ms	(sqrt (+ (* c c) (* d d)))
8.0ms	(sqrt (+ (* c c) (* d d)))
13.0ms	(sqrt (+ (* c c) (* d d)))

series440.0ms

Counts

4 → 12

Calls

4 calls:

290.0ms	(/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d)))))
41.0ms	(sqrt (+ (* c c) (* d d)))
57.0ms	(sqrt (+ (* c c) (* d d)))
52.0ms	(sqrt (+ (* c c) (* d d)))

simplify2.3s

Counts

116 → 116

Iterations

Iter	Nodes
done	5000
3	1995
2	759
1	305
0	142

prune841.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 22.2b

localize71.0ms

Local error

Found 4 expressions with local error:

29.5b	(sqrt (+ (* c c) (* d d)))
29.5b	(sqrt (+ (* c c) (* d d)))
29.5b	(sqrt (+ (* c c) (* d d)))
29.5b	(sqrt (+ (* c c) (* d d)))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `sqrt-prod`
8×	`pow1` `*-un-lft-identity` `sqrt-div` `add-cube-cbrt`
4×	`rem-sqrt-square` `sqrt-pow1` `flip3-+` `add-cbrt-cube` `pow1/2` `add-exp-log` `flip-+` `insert-posit16` `add-log-exp`

Counts

4 → 64

Calls

4 calls:

10.0ms	(sqrt (+ (* c c) (* d d)))
15.0ms	(sqrt (+ (* c c) (* d d)))
15.0ms	(sqrt (+ (* c c) (* d d)))
17.0ms	(sqrt (+ (* c c) (* d d)))

series214.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(sqrt (+ (* c c) (* d d)))
56.0ms	(sqrt (+ (* c c) (* d d)))
52.0ms	(sqrt (+ (* c c) (* d d)))
50.0ms	(sqrt (+ (* c c) (* d d)))

simplify2.5s

Counts

76 → 76

Iterations

Iter	Nodes
done	5001
5	3254
4	995
3	435
2	196
1	92
0	39

prune573.0ms

Pruning

12 alts after pruning (9 fresh and 3 done)

Merged error: 22.2b

regimes533.0ms

Accuracy

0% (2.7b remaining)

Error of 26.1b against oracle of 23.4b and baseline of 26.1b

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	17
1	17
0	13

end0.0ms

sample953.0ms

Algorithm

intervals

Results

703.0ms

8499×

body

valid