Details

sample48.0ms

Algorithm

intervals

Results

22.0ms

268×

body

valid

simplify90.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	15
1	19	15
2	36	15
3	48	15
4	66	15
5	70	15
done	70	15

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 25.4b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* c c) (* d d))
1.4b	(- (* b c) (* a d))
24.9b	(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 55

Calls

3 calls:

16.0ms	(+ (* c c) (* d d))
16.0ms	(- (* b c) (* a d))
55.0ms	(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))

series255.0ms

Counts

3 → 9

Calls

3 calls:

49.0ms	(+ (* c c) (* d d))
69.0ms	(- (* b c) (* a d))
136.0ms	(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))

simplify3.0s

Counts

64 → 64

Iterations

Useful iterations: 2 (208.0ms)

Iter	Nodes	Cost
0	101	1120
1	290	1097
2	958	981
3	3097	981
done	5000	981

prune291.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 24.8b

localize20.0ms

Local error

Found 4 expressions with local error:

1.4b	(- (* b c) (* a d))
15.6b	(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
30.4b	(sqrt (+ (* c c) (* d d)))
30.4b	(sqrt (+ (* c c) (* d d)))

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 86

Calls

4 calls:

14.0ms	(- (* b c) (* a d))
29.0ms	(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
12.0ms	(sqrt (+ (* c c) (* d d)))
23.0ms	(sqrt (+ (* c c) (* d d)))

series348.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(- (* b c) (* a d))
184.0ms	(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
47.0ms	(sqrt (+ (* c c) (* d d)))
56.0ms	(sqrt (+ (* c c) (* d d)))

simplify1.9s

Counts

98 → 98

Iterations

Useful iterations: 3 (524.0ms)

Iter	Nodes	Cost
0	120	1814
1	306	1682
2	888	1574
3	2547	1558
done	5000	1558

prune423.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 22.7b

localize21.0ms

Local error

Found 4 expressions with local error:

1.4b	(- (* b c) (* a d))
15.6b	(/ (sqrt (+ (* c c) (* d d))) (- (* b c) (* a d)))
30.4b	(sqrt (+ (* c c) (* d d)))
30.4b	(sqrt (+ (* c c) (* d d)))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 85

Calls

4 calls:

8.0ms	(- (* b c) (* a d))
25.0ms	(/ (sqrt (+ (* c c) (* d d))) (- (* b c) (* a d)))
8.0ms	(sqrt (+ (* c c) (* d d)))
8.0ms	(sqrt (+ (* c c) (* d d)))

series233.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(- (* b c) (* a d))
102.0ms	(/ (sqrt (+ (* c c) (* d d))) (- (* b c) (* a d)))
41.0ms	(sqrt (+ (* c c) (* d d)))
42.0ms	(sqrt (+ (* c c) (* d d)))

simplify2.9s

Counts

97 → 97

Iterations

Useful iterations: 4 (1.7s)

Iter	Nodes	Cost
0	115	1782
1	266	1664
2	705	1562
3	1781	1548
4	4314	1547
done	5000	1547

prune322.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 22.7b

localize15.0ms

Local error

Found 4 expressions with local error:

1.4b	(- (* b c) (* a d))
15.6b	(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
30.4b	(sqrt (+ (* c c) (* d d)))
30.4b	(sqrt (+ (* c c) (* d d)))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 86

Calls

4 calls:

9.0ms	(- (* b c) (* a d))
35.0ms	(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
9.0ms	(sqrt (+ (* c c) (* d d)))
8.0ms	(sqrt (+ (* c c) (* d d)))

series262.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(- (* b c) (* a d))
131.0ms	(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
43.0ms	(sqrt (+ (* c c) (* d d)))
40.0ms	(sqrt (+ (* c c) (* d d)))

simplify1.5s

Counts

98 → 98

Iterations

Useful iterations: 3 (458.0ms)

Iter	Nodes	Cost
0	120	1814
1	306	1682
2	888	1574
3	2547	1558
done	5000	1558

prune306.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 22.7b

regimes146.0ms

Accuracy

0% (2.9b remaining)

Error of 25.9b against oracle of 23.0b and baseline of 25.9b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	27
1	20	27
done	20	27

end0.0ms

sample935.0ms

Algorithm

intervals

Results

531.0ms

8530×

body

valid