Details

sample157.0ms

Algorithm

intervals

Results

132.0ms

621×

body

valid

simplify3.1s

Counts

1 → 1

Iterations

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

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize47.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* a a) a)
0.1b	(* -3 (* a (* b b)))
0.3b	(* (+ (* a a) (* b b)) (+ (* a a) (* b b)))
0.6b	(* a (* b b))

rewrite171.0ms

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:

31.0ms	(* (* a a) a)
38.0ms	(* -3 (* a (* b b)))
71.0ms	(* (+ (* a a) (* b b)) (+ (* a a) (* b b)))
28.0ms	(* a (* b b))

series182.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(* (* a a) a)
55.0ms	(* -3 (* a (* b b)))
37.0ms	(* (+ (* a a) (* b b)) (+ (* a a) (* b b)))
43.0ms	(* a (* b b))

simplify2.0s

Counts

119 → 119

Iterations

Iter	Nodes
done	5001
2	2366
1	489
0	147

prune510.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize80.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (+ (* a a) (* b b)) (sqrt (+ (* a a) (* b b))))
0.6b	(* a (* b b))
9.1b	(sqrt (+ (* a a) (* b b)))
9.1b	(sqrt (+ (* a a) (* b b)))

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
16×	`pow1`
11×	`add-cbrt-cube` `add-exp-log`
10×	`*-un-lft-identity` `sqrt-div` `add-cube-cbrt` `sqrt-prod`
8×	`flip3-+` `flip-+`
7×	`associate-r`
6×	`associate-l`
4×	`frac-times` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16` `add-log-exp`
3×	`sqrt-pow1` `pow1/2` `unswap-sqr`
2×	`rem-sqrt-square` `associate-l/` `associate-r/` `*-commutative` `pow-prod-up`
1×	`pow3`

Counts

4 → 86

Calls

4 calls:

48.0ms	(* (+ (* a a) (* b b)) (sqrt (+ (* a a) (* b b))))
14.0ms	(* a (* b b))
6.0ms	(sqrt (+ (* a a) (* b b)))
9.0ms	(sqrt (+ (* a a) (* b b)))

series249.0ms

Counts

4 → 12

Calls

4 calls:

112.0ms	(* (+ (* a a) (* b b)) (sqrt (+ (* a a) (* b b))))
45.0ms	(* a (* b b))
41.0ms	(sqrt (+ (* a a) (* b b)))
50.0ms	(sqrt (+ (* a a) (* b b)))

simplify1.4s

Counts

98 → 98

Iterations

Iter	Nodes
done	5001
2	1086
1	282
0	114

prune603.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize60.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (pow (sqrt (+ (* a a) (* b b))) 3) (sqrt (+ (* a a) (* b b))))
0.6b	(* a (* b b))
9.1b	(sqrt (+ (* a a) (* b b)))
9.1b	(sqrt (+ (* a a) (* b b)))

rewrite127.0ms

Algorithm

rewrite-expression-head

Rules

39×	`add-sqr-sqrt`
25×	`sqrt-prod`
21×	`associate-l`
16×	`sqrt-div`
14×	`*-un-lft-identity` `add-exp-log` `add-cube-cbrt`
13×	`unswap-sqr`
12×	`pow1`
11×	`add-cbrt-cube`
10×	`unpow-prod-down` `cube-prod`
8×	`flip3-+` `flip-+`
7×	`associate-r`
6×	`cube-div` `prod-exp`
4×	`frac-times` `cbrt-unprod` `insert-posit16` `add-log-exp`
3×	`pow-prod-down` `sqr-pow`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-l/` `associate-r/` `*-commutative`
1×	`cube-mult` `pow-to-exp` `pow-plus` `unpow3` `pow-exp` `pow-prod-up`

Counts

4 → 111

Calls

4 calls:

70.0ms	(* (pow (sqrt (+ (* a a) (* b b))) 3) (sqrt (+ (* a a) (* b b))))
30.0ms	(* a (* b b))
12.0ms	(sqrt (+ (* a a) (* b b)))
13.0ms	(sqrt (+ (* a a) (* b b)))

series177.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(* (pow (sqrt (+ (* a a) (* b b))) 3) (sqrt (+ (* a a) (* b b))))
42.0ms	(* a (* b b))
42.0ms	(sqrt (+ (* a a) (* b b)))
53.0ms	(sqrt (+ (* a a) (* b b)))

simplify1.6s

Counts

123 → 123

Iterations

Iter	Nodes
done	5001
2	1355
1	358
0	133

prune860.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize50.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* a a) a)
0.1b	(* -3 (* a (* b b)))
0.6b	(* a (* b b))
9.1b	(sqrt (+ (* a a) (* b b)))

rewrite98.0ms

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:

16.0ms	(* (* a a) a)
40.0ms	(* -3 (* a (* b b)))
27.0ms	(* a (* b b))
12.0ms	(sqrt (+ (* a a) (* b b)))

series215.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(* (* a a) a)
54.0ms	(* -3 (* a (* b b)))
48.0ms	(* a (* b b))
71.0ms	(sqrt (+ (* a a) (* b b)))

simplify1.2s

Counts

99 → 99

Iterations

Iter	Nodes
done	5000
2	929
1	295
0	118

prune515.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

regimes152.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify10.0ms

Iterations

Iter	Nodes
done	33
1	33
0	22

end0.0ms

sample5.2s

Algorithm

intervals

Results

4.7s

20480×

body

valid