Details

sample44.0ms

Algorithm

intervals

Results

31.0ms

280×

body

valid

simplify6.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	15
1	15
0	11

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 24.9b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* c c) (* d d))
0.4b	(+ (* a c) (* b d))
24.9b	(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac`
7×	`add-log-exp`
5×	`add-cbrt-cube` `add-exp-log`
4×	`flip3-+` `flip-+`
3×	`pow1` `associate-/r` `insert-posit16` `associate-/l`
2×	`+-commutative` `sum-log` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `div-inv`

Counts

3 → 56

Calls

3 calls:

8.0ms	(+ (* c c) (* d d))
12.0ms	(+ (* a c) (* b d))
41.0ms	(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))

series207.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(+ (* c c) (* d d))
55.0ms	(+ (* a c) (* b d))
116.0ms	(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))

simplify2.2s

Counts

65 → 65

Iterations

Iter	Nodes
done	5001
3	3987
2	1000
1	282
0	99

prune403.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 24.5b

localize42.0ms

Local error

Found 4 expressions with local error:

0.4b	(+ (* a c) (* b d))
15.0b	(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
28.4b	(sqrt (+ (* c c) (* d d)))
28.4b	(sqrt (+ (* c c) (* d d)))

rewrite83.0ms

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:

15.0ms	(+ (* a c) (* b d))
54.0ms	(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
6.0ms	(sqrt (+ (* c c) (* d d)))
6.0ms	(sqrt (+ (* c c) (* d d)))

series310.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(+ (* a c) (* b d))
151.0ms	(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
51.0ms	(sqrt (+ (* c c) (* d d)))
48.0ms	(sqrt (+ (* c c) (* d d)))

simplify2.1s

Counts

100 → 100

Iterations

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

prune641.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 23.1b

localize51.0ms

Local error

Found 4 expressions with local error:

0.4b	(+ (* a c) (* b d))
15.0b	(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
28.4b	(sqrt (+ (* c c) (* d d)))
28.4b	(sqrt (+ (* c c) (* d d)))

rewrite87.0ms

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:

15.0ms	(+ (* a c) (* b d))
48.0ms	(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
11.0ms	(sqrt (+ (* c c) (* d d)))
11.0ms	(sqrt (+ (* c c) (* d d)))

series324.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(+ (* a c) (* b d))
162.0ms	(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
47.0ms	(sqrt (+ (* c c) (* d d)))
50.0ms	(sqrt (+ (* c c) (* d d)))

simplify2.2s

Counts

100 → 100

Iterations

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

prune524.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 23.1b

localize40.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* c c) (* d d))
0.4b	(+ (* a c) (* b d))
0.7b	(/ 1 (/ (+ (* c c) (* d d)) (+ (* a c) (* b d))))
24.5b	(/ (+ (* c c) (* d d)) (+ (* a c) (* b d)))

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

90×	`times-frac`
56×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
18×	`associate-/r*`
17×	`add-exp-log`
11×	`add-cbrt-cube` `associate-/r/`
8×	`flip3-+` `div-exp` `flip-+` `add-log-exp`
6×	`div-inv` `associate-/l*`
5×	`pow1`
4×	`cbrt-undiv` `insert-posit16`
2×	`+-commutative` `rec-exp` `clear-num` `sum-log` `frac-2neg` `1-exp` `associate-/l/`
1×	`pow-flip` `inv-pow`

Counts

4 → 141

Calls

4 calls:

16.0ms	(+ (* c c) (* d d))
13.0ms	(+ (* a c) (* b d))
18.0ms	(/ 1 (/ (+ (* c c) (* d d)) (+ (* a c) (* b d))))
32.0ms	(/ (+ (* c c) (* d d)) (+ (* a c) (* b d)))

series332.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(+ (* c c) (* d d))
48.0ms	(+ (* a c) (* b d))
170.0ms	(/ 1 (/ (+ (* c c) (* d d)) (+ (* a c) (* b d))))
70.0ms	(/ (+ (* c c) (* d d)) (+ (* a c) (* b d)))

simplify1.3s

Counts

153 → 153

Iterations

Iter	Nodes
done	5000
2	1756
1	573
0	208

prune627.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 23.1b

regimes398.0ms

Accuracy

0% (1.9b remaining)

Error of 25.2b against oracle of 23.3b and baseline of 25.2b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	17
1	17
0	13

end0.0ms

sample1.4s

Algorithm

intervals

Results

1.1s

8478×

body

valid