Details

sample52.0ms

Algorithm

intervals

Results

22.0ms

271×

body

valid

simplify65.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	72
5	72
4	66
3	48
2	36
1	19
0	11

prune19.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 25.8b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* c c) (* d d))
0.5b	(- (* b c) (* a d))
25.3b	(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))

rewrite44.0ms

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` `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 → 55

Calls

3 calls:

6.0ms	(+ (* c c) (* d d))
9.0ms	(- (* b c) (* a d))
28.0ms	(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))

series261.0ms

Counts

3 → 9

Calls

3 calls:

52.0ms	(+ (* c c) (* d d))
76.0ms	(- (* b c) (* a d))
133.0ms	(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))

simplify773.0ms

Counts

64 → 64

Iterations

Iter	Nodes
done	5000
2	1712
1	315
0	99

prune442.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 21.6b

localize29.0ms

Local error

Found 4 expressions with local error:

2.8b	(/ a (/ (+ (* d d) (* c c)) d))
3.5b	(/ b (/ (+ (* d d) (* c c)) c))
17.2b	(/ (+ (* d d) (* c c)) d)
17.6b	(/ (+ (* d d) (* c c)) c)

rewrite92.0ms

Algorithm

rewrite-expression-head

Rules

168×	`times-frac`
104×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
32×	`associate-/r*`
18×	`add-cbrt-cube` `add-exp-log`
12×	`div-inv` `associate-/l*`
8×	`cbrt-undiv` `div-exp`
4×	`pow1` `clear-num` `frac-2neg` `add-log-exp` `associate-/l/`
2×	`flip3-+` `associate-/r/` `flip-+`

Counts

4 → 198

Calls

4 calls:

19.0ms	(/ a (/ (+ (* d d) (* c c)) d))
19.0ms	(/ b (/ (+ (* d d) (* c c)) c))
19.0ms	(/ (+ (* d d) (* c c)) d)
28.0ms	(/ (+ (* d d) (* c c)) c)

series278.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(/ a (/ (+ (* d d) (* c c)) d))
54.0ms	(/ b (/ (+ (* d d) (* c c)) c))
84.0ms	(/ (+ (* d d) (* c c)) d)
70.0ms	(/ (+ (* d d) (* c c)) c)

simplify1.8s

Counts

210 → 210

Iterations

Iter	Nodes
done	5000
2	4400
1	831
0	313

prune1.4s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 5.3b

localize64.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ c (/ d c))
2.8b	(/ a (+ d (/ c (/ d c))))
3.5b	(/ b (/ (+ (* d d) (* c c)) c))
17.6b	(/ (+ (* d d) (* c c)) c)

rewrite126.0ms

Algorithm

rewrite-expression-head

Rules

171×	`times-frac`
113×	`*-un-lft-identity`
105×	`add-sqr-sqrt` `add-cube-cbrt`
33×	`associate-/r*`
18×	`add-cbrt-cube` `add-exp-log`
12×	`div-inv` `associate-/l*`
8×	`cbrt-undiv` `div-exp`
4×	`pow1` `clear-num` `frac-2neg` `associate-/r/` `distribute-lft-out` `add-log-exp`
2×	`flip3-+` `flip-+` `associate-/l/`

Counts

4 → 202

Calls

4 calls:

13.0ms	(/ c (/ d c))
48.0ms	(/ a (+ d (/ c (/ d c))))
19.0ms	(/ b (/ (+ (* d d) (* c c)) c))
39.0ms	(/ (+ (* d d) (* c c)) c)

series208.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(/ c (/ d c))
50.0ms	(/ a (+ d (/ c (/ d c))))
80.0ms	(/ b (/ (+ (* d d) (* c c)) c))
51.0ms	(/ (+ (* d d) (* c c)) c)

simplify494.0ms

Counts

214 → 214

Iterations

Iter	Nodes
done	5000
1	922
0	350

prune1.6s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 2.3b

localize31.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ d (/ c d))
0.1b	(/ c (/ d c))
2.8b	(/ a (+ d (/ c (/ d c))))
3.5b	(/ b (+ (/ d (/ c d)) c))

rewrite153.0ms

Algorithm

rewrite-expression-head

Rules

174×	`times-frac`
122×	`*-un-lft-identity`
106×	`add-sqr-sqrt` `add-cube-cbrt`
34×	`associate-/r*`
18×	`add-cbrt-cube` `add-exp-log`
12×	`div-inv` `associate-/l*`
8×	`cbrt-undiv` `div-exp` `distribute-lft-out`
6×	`associate-/r/`
4×	`pow1` `clear-num` `frac-2neg` `add-log-exp`
2×	`flip3-+` `flip-+`

Counts

4 → 206

Calls

4 calls:

14.0ms	(/ d (/ c d))
11.0ms	(/ c (/ d c))
53.0ms	(/ a (+ d (/ c (/ d c))))
60.0ms	(/ b (+ (/ d (/ c d)) c))

series160.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(/ d (/ c d))
29.0ms	(/ c (/ d c))
36.0ms	(/ a (+ d (/ c (/ d c))))
66.0ms	(/ b (+ (/ d (/ c d)) c))

simplify556.0ms

Counts

218 → 218

Iterations

Iter	Nodes
done	5001
1	934
0	368

prune1.4s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 2.3b

regimes377.0ms

Accuracy

0% (0.9b remaining)

Error of 3.3b against oracle of 2.4b and baseline of 3.3b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	15
1	15
0	12

end0.0ms

sample1.3s

Algorithm

intervals

Results

765.0ms

8499×

body

valid