Details

sample42.0ms

Algorithm

intervals

Results

18.0ms

277×

body

valid

simplify66.0ms

Counts

1 → 1

Iterations

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

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 24.7b

localize41.0ms

Local error

Found 2 expressions with local error:

1.3b	(- (* b c) (* a d))
24.2b	(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))

rewrite38.0ms

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

Counts

2 → 44

Calls

2 calls:

6.0ms	(- (* b c) (* a d))
32.0ms	(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))

series202.0ms

Counts

2 → 6

Calls

2 calls:

61.0ms	(- (* b c) (* a d))
141.0ms	(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))

simplify1.9s

Counts

50 → 50

Iterations

Iter	Nodes
done	5001
3	4329
2	980
1	254
0	86

prune287.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 22.1b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ (* b c) (+ (* c c) (* d d))) (/ a (/ (+ (* c c) (* d d)) d)))
4.9b	(/ a (/ (+ (* c c) (* d d)) d))
16.3b	(/ (+ (* c c) (* d d)) d)
16.8b	(/ (* b c) (+ (* c c) (* d d)))

rewrite149.0ms

Algorithm

rewrite-expression-head

Rules

90×	`times-frac`
65×	`add-sqr-sqrt`
58×	`*-un-lft-identity`
56×	`add-cube-cbrt`
19×	`associate-/r*`
16×	`add-cbrt-cube` `add-exp-log`
7×	`div-inv` `associate-/l*`
6×	`cbrt-undiv` `div-exp` `add-log-exp`
4×	`pow1`
3×	`clear-num` `frac-2neg` `associate-/r/` `difference-of-squares`
2×	`flip3-+` `flip-+` `associate-/l/`
1×	`sub-neg` `flip3--` `diff-log` `prod-exp` `frac-sub` `cbrt-unprod` `flip--` `distribute-lft-out--`

Counts

4 → 139

Calls

4 calls:

87.0ms	(- (/ (* b c) (+ (* c c) (* d d))) (/ a (/ (+ (* c c) (* d d)) d)))
16.0ms	(/ a (/ (+ (* c c) (* d d)) d))
20.0ms	(/ (+ (* c c) (* d d)) d)
20.0ms	(/ (* b c) (+ (* c c) (* d d)))

series339.0ms

Counts

4 → 12

Calls

4 calls:

152.0ms	(- (/ (* b c) (+ (* c c) (* d d))) (/ a (/ (+ (* c c) (* d d)) d)))
65.0ms	(/ a (/ (+ (* c c) (* d d)) d))
55.0ms	(/ (+ (* c c) (* d d)) d)
66.0ms	(/ (* b c) (+ (* c c) (* d d)))

simplify1.1s

Counts

151 → 151

Iterations

Iter	Nodes
done	5000
2	3569
1	670
0	242

prune801.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 14.4b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ (* b c) (+ (* c c) (* d d))) (/ a (+ d (/ (* c c) d))))
4.9b	(/ a (+ d (/ (* c c) d)))
7.4b	(/ (* c c) d)
16.8b	(/ (* b c) (+ (* c c) (* d d)))

rewrite161.0ms

Algorithm

rewrite-expression-head

Rules

27×	`*-un-lft-identity`
22×	`add-sqr-sqrt`
19×	`times-frac`
17×	`add-cube-cbrt`
16×	`add-cbrt-cube` `add-exp-log`
10×	`associate-/r*`
6×	`add-log-exp`
5×	`cbrt-undiv` `div-exp` `associate-/l*`
4×	`pow1` `associate-/r/` `distribute-lft-out`
3×	`clear-num` `frac-2neg` `div-inv`
2×	`flip3-+` `prod-exp` `cbrt-unprod` `flip-+` `difference-of-squares`
1×	`sub-neg` `flip3--` `diff-log` `frac-sub` `flip--` `distribute-lft-out--`

Counts

4 → 93

Calls

4 calls:

114.0ms	(- (/ (* b c) (+ (* c c) (* d d))) (/ a (+ d (/ (* c c) d))))
19.0ms	(/ a (+ d (/ (* c c) d)))
8.0ms	(/ (* c c) d)
19.0ms	(/ (* b c) (+ (* c c) (* d d)))

series316.0ms

Counts

4 → 12

Calls

4 calls:

154.0ms	(- (/ (* b c) (+ (* c c) (* d d))) (/ a (+ d (/ (* c c) d))))
55.0ms	(/ a (+ d (/ (* c c) d)))
35.0ms	(/ (* c c) d)
71.0ms	(/ (* b c) (+ (* c c) (* d d)))

simplify1.3s

Counts

105 → 105

Iterations

Iter	Nodes
done	5002
2	3124
1	497
0	177

prune512.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 12.5b

localize27.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ c (/ d c))
4.3b	(/ b (/ (+ (pow c 2) (* d d)) c))
4.9b	(/ a (+ d (/ c (/ d c))))
17.3b	(/ (+ (pow c 2) (* d d)) c)

rewrite143.0ms

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))
16.0ms	(/ b (/ (+ (pow c 2) (* d d)) c))
54.0ms	(/ a (+ d (/ c (/ d c))))
45.0ms	(/ (+ (pow c 2) (* d d)) c)

series213.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(/ c (/ d c))
77.0ms	(/ b (/ (+ (pow c 2) (* d d)) c))
37.0ms	(/ a (+ d (/ c (/ d c))))
70.0ms	(/ (+ (pow c 2) (* d d)) c)

simplify448.0ms

Counts

214 → 214

Iterations

Iter	Nodes
done	5000
1	906
0	350

prune1.3s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 2.4b

regimes235.0ms

Accuracy

0% (1.0b remaining)

Error of 3.3b against oracle of 2.3b and baseline of 3.3b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	21
2	21
1	20
0	15

end0.0ms

sample867.0ms

Algorithm

intervals

Results

533.0ms

8476×

body

valid