Details

sample63.0ms

Algorithm

intervals

Results

42.0ms

275×

body

valid

simplify77.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	70
5	70
4	66
3	48
2	36
1	19
0	11

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 27.2b

localize29.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* c c) (* d d))
0.5b	(- (* b c) (* a d))
27.2b	(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))

rewrite55.0ms

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

Counts

3 → 58

Calls

3 calls:

15.0ms	(+ (* c c) (* d d))
13.0ms	(- (* b c) (* a d))
26.0ms	(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))

series213.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(+ (* c c) (* d d))
50.0ms	(- (* b c) (* a d))
126.0ms	(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))

simplify1.0s

Counts

67 → 67

Iterations

Iter	Nodes
done	2005
3	2005
2	1065
1	303
0	102

prune720.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 26.8b

localize32.0ms

Local error

Found 4 expressions with local error:

0.5b	(- (* b c) (* a d))
14.4b	(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
31.8b	(sqrt (+ (* c c) (* d d)))
31.8b	(sqrt (+ (* c c) (* d d)))

rewrite61.0ms

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`
4×	`insert-posit16`
3×	`flip3-+` `flip-+` `associate-/l*`
2×	`rem-sqrt-square` `sqrt-pow1` `flip3--` `pow1/2` `associate-/r/` `flip--` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `diff-log` `div-sub` `div-exp` `div-inv`

Counts

4 → 90

Calls

4 calls:

12.0ms	(- (* b c) (* a d))
29.0ms	(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
8.0ms	(sqrt (+ (* c c) (* d d)))
10.0ms	(sqrt (+ (* c c) (* d d)))

series274.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(- (* b c) (* a d))
138.0ms	(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
42.0ms	(sqrt (+ (* c c) (* d d)))
48.0ms	(sqrt (+ (* c c) (* d d)))

simplify939.0ms

Counts

102 → 102

Iterations

Iter	Nodes
done	2000
3	2000
2	897
1	311
0	121

prune959.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 24.5b

localize34.0ms

Local error

Found 4 expressions with local error:

0.5b	(- (* b c) (* a d))
14.5b	(/ (sqrt (+ (* c c) (* d d))) (- (* b c) (* a d)))
31.8b	(sqrt (+ (* c c) (* d d)))
31.8b	(sqrt (+ (* c c) (* d d)))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 89

Calls

4 calls:

7.0ms	(- (* b c) (* a d))
20.0ms	(/ (sqrt (+ (* c c) (* d d))) (- (* b c) (* a d)))
6.0ms	(sqrt (+ (* c c) (* d d)))
7.0ms	(sqrt (+ (* c c) (* d d)))

series207.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(- (* b c) (* a d))
81.0ms	(/ (sqrt (+ (* c c) (* d d))) (- (* b c) (* a d)))
39.0ms	(sqrt (+ (* c c) (* d d)))
41.0ms	(sqrt (+ (* c c) (* d d)))

simplify925.0ms

Counts

101 → 101

Iterations

Iter	Nodes
done	2002
4	2002
3	1847
2	717
1	271
0	116

prune952.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 24.5b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* c c) (* d d))
0.5b	(- (* b c) (* a d))
0.8b	(/ 1 (/ (+ (* c c) (* d d)) (- (* b c) (* a d))))
26.6b	(/ (+ (* c c) (* d d)) (- (* b c) (* a d)))

rewrite72.0ms

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×	`div-exp` `add-log-exp`
6×	`flip3--` `div-inv` `flip--` `associate-/l*`
5×	`pow1`
4×	`cbrt-undiv` `insert-posit16`
2×	`rec-exp` `clear-num` `frac-2neg` `flip3-+` `1-exp` `flip-+` `associate-/l/`
1×	`+-commutative` `sum-log` `sub-neg` `diff-log` `pow-flip` `inv-pow`

Counts

4 → 142

Calls

4 calls:

8.0ms	(+ (* c c) (* d d))
7.0ms	(- (* b c) (* a d))
21.0ms	(/ 1 (/ (+ (* c c) (* d d)) (- (* b c) (* a d))))
34.0ms	(/ (+ (* c c) (* d d)) (- (* b c) (* a d)))

series265.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(+ (* c c) (* d d))
45.0ms	(- (* b c) (* a d))
133.0ms	(/ 1 (/ (+ (* c c) (* d d)) (- (* b c) (* a d))))
59.0ms	(/ (+ (* c c) (* d d)) (- (* b c) (* a d)))

simplify852.0ms

Counts

154 → 154

Iterations

Iter	Nodes
done	2014
3	2014
2	1642
1	570
0	209

prune1.4s

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 24.5b

regimes369.0ms

Accuracy

0% (2.5b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	20
1	20
0	15

end0.0ms

sample1.3s

Algorithm

intervals

Results

1.0s

8499×

body

valid