Details

sample62.0ms

Algorithm

intervals

Results

42.0ms

271×

body

valid

simplify10.0ms

Counts

1 → 1

Iterations

Iter	Nodes
2	15
1	15
0	11

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 27.6b

localize42.0ms

Local error

Found 2 expressions with local error:

0.4b	(+ (* a c) (* b d))
27.6b	(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))

rewrite71.0ms

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:

9.0ms	(+ (* a c) (* b d))
61.0ms	(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))

series156.0ms

Counts

2 → 6

Calls

2 calls:

61.0ms	(+ (* a c) (* b d))
95.0ms	(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))

simplify924.0ms

Counts

50 → 50

Iterations

Iter	Nodes
3	2599
2	777
1	236
0	85

prune725.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 27.2b

localize36.0ms

Local error

Found 4 expressions with local error:

0.4b	(+ (* a c) (* b d))
15.2b	(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
29.2b	(sqrt (+ (* c c) (* d d)))
29.2b	(sqrt (+ (* c c) (* d d)))

rewrite71.0ms

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:

16.0ms	(+ (* a c) (* b d))
35.0ms	(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
7.0ms	(sqrt (+ (* c c) (* d d)))
11.0ms	(sqrt (+ (* c c) (* d d)))

series299.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(+ (* a c) (* b d))
140.0ms	(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
44.0ms	(sqrt (+ (* c c) (* d d)))
69.0ms	(sqrt (+ (* c c) (* d d)))

simplify692.0ms

Counts

100 → 100

Iterations

Iter	Nodes
3	2097
2	760
1	280
0	117

prune1.2s

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 24.3b

localize55.0ms

Local error

Found 4 expressions with local error:

0.4b	(+ (* a c) (* b d))
15.2b	(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
29.2b	(sqrt (+ (* c c) (* d d)))
29.2b	(sqrt (+ (* c c) (* d d)))

rewrite58.0ms

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))))
6.0ms	(sqrt (+ (* c c) (* d d)))
7.0ms	(sqrt (+ (* c c) (* d d)))

series312.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(+ (* a c) (* b d))
140.0ms	(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
65.0ms	(sqrt (+ (* c c) (* d d)))
61.0ms	(sqrt (+ (* c c) (* d d)))

simplify664.0ms

Counts

100 → 100

Iterations

Iter	Nodes
3	2097
2	760
1	280
0	117

prune1.2s

Pruning

13 alts after pruning (10 fresh and 3 done)

Merged error: 24.3b

localize47.0ms

Local error

Found 4 expressions with local error:

8.5b	(/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d)))))
29.2b	(sqrt (+ (* c c) (* d d)))
29.2b	(sqrt (+ (* c c) (* d d)))
29.2b	(sqrt (+ (* c c) (* d d)))

rewrite62.0ms

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:

40.0ms	(/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d)))))
7.0ms	(sqrt (+ (* c c) (* d d)))
7.0ms	(sqrt (+ (* c c) (* d d)))
7.0ms	(sqrt (+ (* c c) (* d d)))

series333.0ms

Counts

4 → 12

Calls

4 calls:

210.0ms	(/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d)))))
40.0ms	(sqrt (+ (* c c) (* d d)))
44.0ms	(sqrt (+ (* c c) (* d d)))
40.0ms	(sqrt (+ (* c c) (* d d)))

simplify1.9s

Counts

116 → 116

Iterations

Iter	Nodes
4	5705
3	1993
2	746
1	304
0	142

prune1.3s

Pruning

14 alts after pruning (10 fresh and 4 done)

Merged error: 24.3b

regimes464.0ms

Accuracy

8.1% (2.4b remaining)

Error of 25.7b against oracle of 23.2b and baseline of 25.9b

bsearch2.0ms

simplify3.0ms

Iterations

Iter	Nodes
2	22
1	22
0	18

end0.0ms

sample1.3s

Algorithm

intervals

Results

1.1s

8497×

body

valid