Details

sample148.0ms

Algorithm

intervals

Results

118.0ms

620×

body

valid

simplify3.0s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
4	3576
3	748
2	187
1	56
0	19

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize81.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* a a) a)
0.2b	(* -3 (* a (* b b)))
0.3b	(* (+ (* a a) (* b b)) (+ (* a a) (* b b)))
0.4b	(* a (* b b))

rewrite151.0ms

Algorithm

rewrite-expression-head

Rules

44×	`pow1`
25×	`add-cbrt-cube` `add-exp-log`
15×	`add-sqr-sqrt`
13×	`pow-prod-down` `prod-exp` `cbrt-unprod`
11×	`*-un-lft-identity` `add-cube-cbrt`
10×	`associate-l`
8×	`associate-r`
7×	`pow-plus` `pow-prod-up`
6×	`flip3-+` `flip-+`
4×	`frac-times` `*-commutative` `insert-posit16` `add-log-exp`
3×	`pow2` `swap-sqr` `pow-sqr` `unswap-sqr`
2×	`associate-l/` `associate-r/`
1×	`distribute-rgt-in` `distribute-lft-in` `pow3`

Counts

4 → 107

Calls

4 calls:

14.0ms	(* (* a a) a)
43.0ms	(* -3 (* a (* b b)))
65.0ms	(* (+ (* a a) (* b b)) (+ (* a a) (* b b)))
28.0ms	(* a (* b b))

series236.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(* (* a a) a)
55.0ms	(* -3 (* a (* b b)))
65.0ms	(* (+ (* a a) (* b b)) (+ (* a a) (* b b)))
51.0ms	(* a (* b b))

simplify2.0s

Counts

119 → 119

Iterations

Iter	Nodes
done	5001
2	2366
1	489
0	147

prune562.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.1b

localize61.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* (+ (* a a) (* b b)) (sqrt (+ (* a a) (* b b)))) (sqrt (+ (* a a) (* b b))))
0.4b	(* a (* b b))
11.0b	(sqrt (+ (* a a) (* b b)))
11.0b	(sqrt (+ (* a a) (* b b)))

rewrite138.0ms

Algorithm

rewrite-expression-head

Rules

40×	`sqrt-div`
29×	`flip3-+` `flip-+`
28×	`frac-times`
25×	`pow1`
14×	`add-sqr-sqrt` `add-cbrt-cube` `associate-*l/` `add-exp-log`
9×	`*-un-lft-identity` `pow-prod-up` `add-cube-cbrt` `sqrt-prod`
8×	`associate-*r/`
7×	`associate-r`
6×	`sqrt-pow1` `pow1/2` `pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`associate-l` `insert-posit16` `add-log-exp`
2×	`rem-sqrt-square` `pow3` `*-commutative`
1×	`pow-plus` `unswap-sqr`

Counts

4 → 106

Calls

4 calls:

100.0ms	(* (* (+ (* a a) (* b b)) (sqrt (+ (* a a) (* b b)))) (sqrt (+ (* a a) (* b b))))
14.0ms	(* a (* b b))
11.0ms	(sqrt (+ (* a a) (* b b)))
10.0ms	(sqrt (+ (* a a) (* b b)))

series196.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(* (* (+ (* a a) (* b b)) (sqrt (+ (* a a) (* b b)))) (sqrt (+ (* a a) (* b b))))
36.0ms	(* a (* b b))
66.0ms	(sqrt (+ (* a a) (* b b)))
46.0ms	(sqrt (+ (* a a) (* b b)))

simplify2.0s

Counts

118 → 118

Iterations

Iter	Nodes
done	5000
2	1674
1	460
0	163

prune823.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize69.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* a a) a)
0.2b	(* -3 (* a (* b b)))
0.4b	(* a (* b b))
11.0b	(sqrt (+ (* a a) (* b b)))

rewrite91.0ms

Algorithm

rewrite-expression-head

Rules

38×	`pow1`
23×	`add-cbrt-cube` `add-exp-log`
12×	`pow-prod-down` `prod-exp` `cbrt-unprod`
11×	`add-sqr-sqrt`
8×	`*-un-lft-identity` `add-cube-cbrt`
7×	`associate-l`
6×	`pow-plus` `pow-prod-up`
5×	`associate-r`
4×	`insert-posit16` `add-log-exp`
3×	`*-commutative` `sqrt-prod`
2×	`pow2` `sqrt-div` `pow-sqr` `unswap-sqr`
1×	`rem-sqrt-square` `sqrt-pow1` `flip3-+` `pow1/2` `pow3` `flip-+`

Counts

4 → 87

Calls

4 calls:

22.0ms	(* (* a a) a)
42.0ms	(* -3 (* a (* b b)))
19.0ms	(* a (* b b))
6.0ms	(sqrt (+ (* a a) (* b b)))

series182.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(* (* a a) a)
44.0ms	(* -3 (* a (* b b)))
35.0ms	(* a (* b b))
52.0ms	(sqrt (+ (* a a) (* b b)))

simplify1.2s

Counts

99 → 99

Iterations

Iter	Nodes
done	5000
2	929
1	295
0	118

prune596.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize60.0ms

Local error

Found 4 expressions with local error:

0.2b	(* -3 (* a (* b b)))
0.2b	(* (* a a) (* a a))
0.4b	(* a (* b b))
1.2b	(* (* b b) (+ (* b b) (* 2 (* a a))))

rewrite101.0ms

Algorithm

rewrite-expression-head

Rules

134×	`pow1`
36×	`pow-prod-up`
35×	`add-cbrt-cube` `pow-prod-down` `add-exp-log`
22×	`pow-sqr`
20×	`prod-exp` `cbrt-unprod`
18×	`pow-plus`
13×	`pow2`
9×	`add-sqr-sqrt`
8×	`associate-l`
7×	`*-un-lft-identity` `add-cube-cbrt`
6×	`associate-r`
4×	`*-commutative` `insert-posit16` `add-log-exp`
3×	`unswap-sqr`
2×	`associate-*r/`
1×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `swap-sqr` `flip-+`

Counts

4 → 130

Calls

4 calls:

33.0ms	(* -3 (* a (* b b)))
22.0ms	(* (* a a) (* a a))
13.0ms	(* a (* b b))
29.0ms	(* (* b b) (+ (* b b) (* 2 (* a a))))

series239.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(* -3 (* a (* b b)))
61.0ms	(* (* a a) (* a a))
53.0ms	(* a (* b b))
85.0ms	(* (* b b) (+ (* b b) (* 2 (* a a))))

simplify1.7s

Counts

142 → 142

Iterations

Iter	Nodes
done	5008
2	1825
1	456
0	140

prune501.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes153.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	29
1	29
0	19

end0.0ms

sample5.3s

Algorithm

intervals

Results

4.8s

20337×

body

valid