Details

sample23.0ms

Algorithm

intervals

Results

9.0ms

280×

body

valid

simplify46.0ms

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 25.4b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* c c) (* d d))
0.3b	(- (* b c) (* a d))
24.8b	(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))

rewrite44.0ms

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:

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

series163.0ms

Counts

3 → 9

Calls

3 calls:

29.0ms	(+ (* c c) (* d d))
44.0ms	(- (* b c) (* a d))
90.0ms	(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))

simplify1.8s

Counts

64 → 64

Iterations

Useful iterations: 2 (139.0ms)

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

prune166.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 24.7b

localize12.0ms

Local error

Found 4 expressions with local error:

0.3b	(- (* b c) (* a d))
15.1b	(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
28.7b	(sqrt (+ (* c c) (* d d)))
28.7b	(sqrt (+ (* c c) (* d d)))

rewrite55.0ms

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:

7.0ms	(- (* b c) (* a d))
28.0ms	(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
8.0ms	(sqrt (+ (* c c) (* d d)))
8.0ms	(sqrt (+ (* c c) (* d d)))

series239.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(- (* b c) (* a d))
121.0ms	(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
40.0ms	(sqrt (+ (* c c) (* d d)))
38.0ms	(sqrt (+ (* c c) (* d d)))

simplify1.4s

Counts

98 → 98

Iterations

Useful iterations: 3 (430.0ms)

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

prune275.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 22.3b

localize12.0ms

Local error

Found 4 expressions with local error:

0.3b	(- (* b c) (* a d))
24.8b	(/ (- (* b c) (* a d)) (* (sqrt (+ (* c c) (* d d))) (sqrt (+ (* c c) (* d d)))))
28.7b	(sqrt (+ (* c c) (* d d)))
28.7b	(sqrt (+ (* c c) (* d d)))

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 74

Calls

4 calls:

7.0ms	(- (* b c) (* a d))
40.0ms	(/ (- (* b c) (* a d)) (* (sqrt (+ (* c c) (* d d))) (sqrt (+ (* c c) (* d d)))))
8.0ms	(sqrt (+ (* c c) (* d d)))
8.0ms	(sqrt (+ (* c c) (* d d)))

series211.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(- (* b c) (* a d))
93.0ms	(/ (- (* b c) (* a d)) (* (sqrt (+ (* c c) (* d d))) (sqrt (+ (* c c) (* d d)))))
40.0ms	(sqrt (+ (* c c) (* d d)))
37.0ms	(sqrt (+ (* c c) (* d d)))

simplify1.6s

Counts

86 → 86

Iterations

Useful iterations: 3 (602.0ms)

Iter	Nodes	Cost
0	115	1712
1	329	1334
2	1068	1158
3	3628	1126
done	5001	1126

prune234.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 22.3b

localize14.0ms

Local error

Found 4 expressions with local error:

15.1b	(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
28.7b	(sqrt (+ (* c c) (* d d)))
28.7b	(sqrt (+ (* c c) (* d d)))
28.7b	(sqrt (+ (* c c) (* d d)))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 89

Calls

4 calls:

26.0ms	(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
10.0ms	(sqrt (+ (* c c) (* d d)))
7.0ms	(sqrt (+ (* c c) (* d d)))
8.0ms	(sqrt (+ (* c c) (* d d)))

series232.0ms

Counts

4 → 12

Calls

4 calls:

119.0ms	(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
37.0ms	(sqrt (+ (* c c) (* d d)))
39.0ms	(sqrt (+ (* c c) (* d d)))
37.0ms	(sqrt (+ (* c c) (* d d)))

simplify1.2s

Counts

101 → 101

Iterations

Useful iterations: 3 (332.0ms)

Iter	Nodes	Cost
0	108	1859
1	271	1705
2	749	1595
3	2007	1573
done	5000	1573

prune306.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 22.3b

regimes126.0ms

Accuracy

0% (3.0b remaining)

Error of 25.9b against oracle of 22.9b and baseline of 25.9b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	25
1	16	25
done	16	25

end0.0ms

sample601.0ms

Algorithm

intervals

Results

282.0ms

8467×

body

valid