Details

sample57.0ms

Algorithm

intervals

Results

41.0ms

268×

body

valid

simplify5.0ms

Counts

1 → 1

Iterations

Iter	Nodes
2	15
1	15
0	11

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 24.6b

localize34.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* c c) (* d d))
1.5b	(+ (* a c) (* b d))
24.6b	(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))

rewrite73.0ms

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:

12.0ms	(+ (* c c) (* d d))
7.0ms	(+ (* a c) (* b d))
53.0ms	(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))

series232.0ms

Counts

3 → 9

Calls

3 calls:

53.0ms	(+ (* c c) (* d d))
65.0ms	(+ (* a c) (* b d))
114.0ms	(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))

simplify1.4s

Counts

65 → 65

Iterations

Iter	Nodes
3	3856
2	1029
1	282
0	99

prune617.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 24.0b

localize29.0ms

Local error

Found 4 expressions with local error:

1.5b	(+ (* a c) (* b d))
16.9b	(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
31.5b	(sqrt (+ (* c c) (* d d)))
31.5b	(sqrt (+ (* c c) (* d d)))

rewrite48.0ms

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:

7.0ms	(+ (* a c) (* b d))
27.0ms	(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
6.0ms	(sqrt (+ (* c c) (* d d)))
7.0ms	(sqrt (+ (* c c) (* d d)))

series258.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(+ (* a c) (* b d))
115.0ms	(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
39.0ms	(sqrt (+ (* c c) (* d d)))
52.0ms	(sqrt (+ (* c c) (* d d)))

simplify822.0ms

Counts

100 → 100

Iterations

Iter	Nodes
3	2148
2	772
1	281
0	117

prune1.3s

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 22.9b

localize52.0ms

Local error

Found 4 expressions with local error:

9.3b	(/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d)))))
31.5b	(sqrt (+ (* c c) (* d d)))
31.5b	(sqrt (+ (* c c) (* d d)))
31.5b	(sqrt (+ (* c c) (* d d)))

rewrite98.0ms

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:

59.0ms	(/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d)))))
12.0ms	(sqrt (+ (* c c) (* d d)))
12.0ms	(sqrt (+ (* c c) (* d d)))
12.0ms	(sqrt (+ (* c c) (* d d)))

series423.0ms

Counts

4 → 12

Calls

4 calls:

256.0ms	(/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d)))))
50.0ms	(sqrt (+ (* c c) (* d d)))
47.0ms	(sqrt (+ (* c c) (* d d)))
69.0ms	(sqrt (+ (* c c) (* d d)))

simplify850.0ms

Counts

116 → 116

Iterations

Iter	Nodes
3	2010
2	760
1	305
0	142

prune1.7s

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 22.9b

localize70.0ms

Local error

Found 4 expressions with local error:

16.9b	(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
31.5b	(sqrt (+ (* c c) (* d d)))
31.5b	(sqrt (+ (* c c) (* d d)))
31.5b	(sqrt (+ (* c c) (* d d)))

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
22×	`*-un-lft-identity` `add-cube-cbrt`
21×	`sqrt-prod`
18×	`times-frac`
8×	`sqrt-div`
7×	`pow1`
6×	`associate-/r*` `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 → 92

Calls

4 calls:

39.0ms	(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
12.0ms	(sqrt (+ (* c c) (* d d)))
11.0ms	(sqrt (+ (* c c) (* d d)))
12.0ms	(sqrt (+ (* c c) (* d d)))

series282.0ms

Counts

4 → 12

Calls

4 calls:

140.0ms	(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
58.0ms	(sqrt (+ (* c c) (* d d)))
43.0ms	(sqrt (+ (* c c) (* d d)))
42.0ms	(sqrt (+ (* c c) (* d d)))

simplify3.2s

Counts

104 → 104

Iterations

Iter	Nodes
4	5666
3	1989
2	661
1	251
0	107

prune1.6s

Pruning

12 alts after pruning (9 fresh and 3 done)

Merged error: 22.9b

regimes547.0ms

Accuracy

-4.7% (2.8b remaining)

Error of 26.3b against oracle of 23.5b and baseline of 26.2b

bsearch2.0ms

simplify3.0ms

Iterations

Iter	Nodes
2	23
1	23
0	17

end0.0ms

sample1.3s

Algorithm

intervals

Results

988.0ms

8470×

body

valid