Details

sample57.0ms

Algorithm

intervals

Results

40.0ms

456×

body

valid

simplify33.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	51
5	51
4	47
3	36
2	23
1	13
0	7

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize26.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (* y y) 3) (* x x))
0.2b	(* (* y y) 3)

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-cbrt-cube` `add-exp-log`
4×	`add-sqr-sqrt` `add-log-exp`
3×	`-un-lft-identity` `associate-r*` `pow-prod-down` `prod-exp` `add-cube-cbrt` `cbrt-unprod`
2×	`insert-posit16`
1×	`+-commutative` `sum-log` `flip3-+` `associate-l` `*-commutative` `flip-+` `unswap-sqr`

Counts

2 → 32

Calls

2 calls:

25.0ms	(+ (* (* y y) 3) (* x x))
25.0ms	(* (* y y) 3)

series90.0ms

Counts

2 → 6

Calls

2 calls:

45.0ms	(+ (* (* y y) 3) (* x x))
45.0ms	(* (* y y) 3)

simplify855.0ms

Counts

38 → 38

Iterations

Iter	Nodes
done	5000
2	1261
1	199
0	62

prune156.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x x) (* (* 3 y) y))
0.2b	(* (* 3 y) y)

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-cbrt-cube` `add-exp-log`
4×	`add-log-exp`
3×	`add-sqr-sqrt` `-un-lft-identity` `associate-r*` `pow-prod-down` `prod-exp` `add-cube-cbrt` `cbrt-unprod`
2×	`insert-posit16`
1×	`+-commutative` `sum-log` `flip3-+` `associate-l` `*-commutative` `flip-+`

Counts

2 → 31

Calls

2 calls:

8.0ms	(+ (* x x) (* (* 3 y) y))
14.0ms	(* (* 3 y) y)

series74.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(+ (* x x) (* (* 3 y) y))
37.0ms	(* (* 3 y) y)

simplify946.0ms

Counts

37 → 37

Iterations

Iter	Nodes
done	5001
2	1216
1	191
0	61

prune95.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* y y) 3)
0.2b	(* (sqrt (+ (* (* y y) 3) (* x x))) (sqrt (+ (* (* y y) 3) (* x x))))
6.2b	(sqrt (+ (* (* y y) 3) (* x x)))
6.2b	(sqrt (+ (* (* y y) 3) (* x x)))

rewrite145.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-sqr-sqrt`
26×	`pow1`
24×	`sqrt-prod`
16×	`sqrt-div`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`add-cbrt-cube` `add-exp-log`
10×	`sqrt-pow1` `pow1/2`
9×	`associate-r`
8×	`flip3-+` `swap-sqr` `flip-+`
7×	`associate-l`
6×	`pow-prod-down`
5×	`pow-prod-up` `unswap-sqr`
4×	`frac-times` `prod-exp` `cbrt-unprod` `insert-posit16` `add-log-exp`
3×	`pow-sqr`
2×	`rem-sqrt-square` `associate-l/` `associate-r/` `*-commutative`
1×	`pow2` `rem-square-sqrt` `pow-plus` `sqrt-unprod`

Counts

4 → 110

Calls

4 calls:

15.0ms	(* (* y y) 3)
89.0ms	(* (sqrt (+ (* (* y y) 3) (* x x))) (sqrt (+ (* (* y y) 3) (* x x))))
18.0ms	(sqrt (+ (* (* y y) 3) (* x x)))
22.0ms	(sqrt (+ (* (* y y) 3) (* x x)))

series181.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(* (* y y) 3)
36.0ms	(* (sqrt (+ (* (* y y) 3) (* x x))) (sqrt (+ (* (* y y) 3) (* x x))))
60.0ms	(sqrt (+ (* (* y y) 3) (* x x)))
57.0ms	(sqrt (+ (* (* y y) 3) (* x x)))

simplify1.1s

Counts

122 → 122

Iterations

Iter	Nodes
done	5000
2	1854
1	306
0	119

prune468.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize54.0ms

Local error

Found 4 expressions with local error:

0.4b	(* y (sqrt 3))
0.4b	(* y (sqrt 3))
6.2b	(sqrt (+ (* (* y (sqrt 3)) (* y (sqrt 3))) (* x x)))
6.2b	(sqrt (+ (* (* y y) 3) (* x x)))

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt`
14×	`sqrt-prod`
12×	`-un-lft-identity` `associate-r*` `add-cube-cbrt`
10×	`pow1`
8×	`add-cbrt-cube` `add-exp-log`
6×	`associate-l`
4×	`sqrt-div` `insert-posit16` `add-log-exp` `unswap-sqr`
2×	`rem-sqrt-square` `sqrt-pow1` `flip3-+` `pow1/2` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+`

Counts

4 → 78

Calls

4 calls:

7.0ms	(* y (sqrt 3))
7.0ms	(* y (sqrt 3))
47.0ms	(sqrt (+ (* (* y (sqrt 3)) (* y (sqrt 3))) (* x x)))
23.0ms	(sqrt (+ (* (* y y) 3) (* x x)))

series304.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(* y (sqrt 3))
64.0ms	(* y (sqrt 3))
119.0ms	(sqrt (+ (* (* y (sqrt 3)) (* y (sqrt 3))) (* x x)))
62.0ms	(sqrt (+ (* (* y y) 3) (* x x)))

simplify2.0s

Counts

90 → 90

Iterations

Iter	Nodes
done	5000
2	800
1	232
0	99

prune410.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes220.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	9
1	9
0	7

end0.0ms

sample1.7s

Algorithm

intervals

Results

1.3s

14318×

body

valid