Details

sample25.0ms

Algorithm

intervals

Results

13.0ms

468×

body

valid

simplify38.0ms

Counts

1 → 1

Iterations

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

prune27.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize18.0ms

Local error

Found 2 expressions with local error:

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

rewrite40.0ms

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`
1×	`+-commutative` `sum-log` `flip3-+` `associate-l` `*-commutative` `flip-+` `unswap-sqr`

Counts

2 → 30

Calls

2 calls:

15.0ms	(+ (* (* y y) 3) (* x x))
24.0ms	(* (* y y) 3)

series75.0ms

Counts

2 → 6

Calls

2 calls:

44.0ms	(+ (* (* y y) 3) (* x x))
32.0ms	(* (* y y) 3)

simplify1.4s

Counts

36 → 36

Iterations

Iter	Nodes
done	5001
2	1250
1	197
0	60

prune127.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 2 expressions with local error:

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

rewrite53.0ms

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-l*` `pow-prod-down` `prod-exp` `add-cube-cbrt` `cbrt-unprod`
1×	`+-commutative` `sum-log` `flip3-+` `associate-r` `*-commutative` `flip-+`

Counts

2 → 29

Calls

2 calls:

26.0ms	(+ (* y (* y 3)) (* x x))
26.0ms	(* y (* y 3))

series108.0ms

Counts

2 → 6

Calls

2 calls:

62.0ms	(+ (* y (* y 3)) (* x x))
46.0ms	(* y (* y 3))

simplify985.0ms

Counts

35 → 35

Iterations

Iter	Nodes
done	5000
2	941
1	175
0	56

prune155.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize19.0ms

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))))
6.7b	(sqrt (+ (* (* y y) 3) (* x x)))
6.7b	(sqrt (+ (* (* y y) 3) (* x x)))

rewrite183.0ms

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` `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 → 106

Calls

4 calls:

16.0ms	(* (* y y) 3)
118.0ms	(* (sqrt (+ (* (* y y) 3) (* x x))) (sqrt (+ (* (* y y) 3) (* x x))))
20.0ms	(sqrt (+ (* (* y y) 3) (* x x)))
26.0ms	(sqrt (+ (* (* y y) 3) (* x x)))

series230.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(* (* y y) 3)
58.0ms	(* (sqrt (+ (* (* y y) 3) (* x x))) (sqrt (+ (* (* y y) 3) (* x x))))
71.0ms	(sqrt (+ (* (* y y) 3) (* x x)))
73.0ms	(sqrt (+ (* (* y y) 3) (* x x)))

simplify1.5s

Counts

118 → 118

Iterations

Iter	Nodes
done	5001
2	1905
1	302
0	116

prune495.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* (* (* y y) (sqrt 3)) (sqrt 3)) (* x x))
0.2b	(* (* (* y y) (sqrt 3)) (sqrt 3))
0.3b	(* (* y y) (sqrt 3))

rewrite189.0ms

Algorithm

rewrite-expression-head

Rules

17×	`pow1` `add-cbrt-cube` `add-exp-log`
12×	`associate-r`
9×	`add-sqr-sqrt` `pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`*-un-lft-identity` `add-cube-cbrt` `sqrt-prod`
5×	`add-log-exp`
2×	`associate-l` `*-commutative` `unswap-sqr`
1×	`+-commutative` `sum-log` `flip3-+` `flip-+`

Counts

3 → 58

Calls

3 calls:

54.0ms	(+ (* (* (* y y) (sqrt 3)) (sqrt 3)) (* x x))
107.0ms	(* (* (* y y) (sqrt 3)) (sqrt 3))
25.0ms	(* (* y y) (sqrt 3))

series242.0ms

Counts

3 → 9

Calls

3 calls:

91.0ms	(+ (* (* (* y y) (sqrt 3)) (sqrt 3)) (* x x))
91.0ms	(* (* (* y y) (sqrt 3)) (sqrt 3))
59.0ms	(* (* y y) (sqrt 3))

simplify1.5s

Counts

67 → 67

Iterations

Iter	Nodes
done	5000
2	1988
1	287
0	89

prune222.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes227.0ms

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

sample1.1s

Algorithm

intervals

Results

784.0ms

14153×

body

valid