Details

sample19.0ms

Algorithm

intervals

Results

7.0ms	255×	body	80	valid
0.0ms	1×	body	1280	valid

simplify25.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	32
5	32
4	30
3	23
2	15
1	8
0	5

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 1 expressions with local error:

0.0b	(* 500.0 (- x y))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
18×	`prod-diff`
17×	`*-un-lft-identity`
15×	`add-cube-cbrt`
11×	`distribute-rgt-in` `distribute-lft-in`
5×	`associate-r`
3×	`pow1` `add-cbrt-cube` `associate-l` `add-exp-log`
2×	`sub-neg` `associate-*r/`
1×	`expm1-log1p-u` `flip3--` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `log1p-expm1-u` `flip--` `distribute-lft-out--` `add-log-exp` `difference-of-squares` `unswap-sqr`

Counts

1 → 46

Calls

1 calls:

34.0ms

(* 500.0 (- x y))

series46.0ms

Counts

1 → 3

Calls

1 calls:

46.0ms

(* 500.0 (- x y))

simplify3.5s

Counts

49 → 49

Iterations

Iter	Nodes
done	5008
4	3821
3	1183
2	432
1	222
0	102

prune115.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ (* 500.0 x) (* 500.0 (- y)))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
2×	`distribute-rgt-neg-out`
1×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `+-commutative` `sum-log` `fma-def` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `unsub-neg` `add-exp-log` `add-cube-cbrt` `flip-+` `log1p-expm1-u` `distribute-lft-out`

Counts

1 → 17

Calls

1 calls:

6.0ms

(+ (* 500.0 x) (* 500.0 (- y)))

series55.0ms

Counts

1 → 3

Calls

1 calls:

55.0ms

(+ (* 500.0 x) (* 500.0 (- y)))

simplify3.1s

Counts

20 → 20

Iterations

Iter	Nodes
done	5000
3	1699
2	446
1	113
0	33

prune83.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.4b	(* (sqrt 500.0) (- x y))
0.4b	(* (sqrt 500.0) (* (sqrt 500.0) (- x y)))

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

55×	`distribute-rgt-in` `distribute-lft-in`
54×	`prod-diff`
49×	`add-sqr-sqrt`
45×	`*-un-lft-identity`
43×	`add-cube-cbrt`
12×	`associate-l`
9×	`pow1` `add-cbrt-cube` `add-exp-log`
7×	`sqrt-prod`
6×	`sub-neg` `associate-r` `associate-*r/`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `flip3--` `*-commutative` `log1p-expm1-u` `flip--` `add-log-exp` `unswap-sqr`
1×	`distribute-lft-out--` `difference-of-squares`

Counts

2 → 119

Calls

2 calls:

27.0ms	(* (sqrt 500.0) (- x y))
37.0ms	(* (sqrt 500.0) (* (sqrt 500.0) (- x y)))

series227.0ms

Counts

2 → 6

Calls

2 calls:

87.0ms	(* (sqrt 500.0) (- x y))
140.0ms	(* (sqrt 500.0) (* (sqrt 500.0) (- x y)))

simplify2.9s

Counts

125 → 125

Iterations

Iter	Nodes
done	5014
3	3270
2	1206
1	531
0	186

prune304.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* 500.0 x) (* 500.0 (- y)))
0.1b	(sqrt (+ (* 500.0 x) (* 500.0 (- y))))
0.1b	(sqrt (+ (* 500.0 x) (* 500.0 (- y))))
0.3b	(* (sqrt (+ (* 500.0 x) (* 500.0 (- y)))) (sqrt (+ (* 500.0 x) (* 500.0 (- y)))))

rewrite111.0ms

Algorithm

rewrite-expression-head

Rules

30×	`sqrt-prod`
28×	`add-sqr-sqrt`
21×	`pow1`
16×	`sqrt-div`
14×	`*-un-lft-identity` `add-cube-cbrt`
10×	`sqrt-pow1` `pow1/2`
9×	`flip3-+` `swap-sqr` `flip-+`
7×	`associate-r` `associate-l` `distribute-lft-out`
6×	`add-cbrt-cube` `add-exp-log` `add-log-exp`
5×	`pow-prod-up`
4×	`expm1-log1p-u` `frac-times` `log1p-expm1-u` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square` `associate-l/` `associate-r/` `distribute-rgt-neg-out`
1×	`pow2` `+-commutative` `sum-log` `rem-square-sqrt` `fma-def` `pow-plus` `sqrt-unprod` `unsub-neg` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 115

Calls

4 calls:

12.0ms	(+ (* 500.0 x) (* 500.0 (- y)))
12.0ms	(sqrt (+ (* 500.0 x) (* 500.0 (- y))))
12.0ms	(sqrt (+ (* 500.0 x) (* 500.0 (- y))))
70.0ms	(* (sqrt (+ (* 500.0 x) (* 500.0 (- y)))) (sqrt (+ (* 500.0 x) (* 500.0 (- y)))))

series334.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(+ (* 500.0 x) (* 500.0 (- y)))
112.0ms	(sqrt (+ (* 500.0 x) (* 500.0 (- y))))
110.0ms	(sqrt (+ (* 500.0 x) (* 500.0 (- y))))
52.0ms	(* (sqrt (+ (* 500.0 x) (* 500.0 (- y)))) (sqrt (+ (* 500.0 x) (* 500.0 (- y)))))

simplify2.4s

Counts

127 → 127

Iterations

Iter	Nodes
done	5000
3	4001
2	896
1	302
0	123

prune588.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes161.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	6
1	6
0	5

end0.0ms

sample342.0ms

Algorithm

intervals

Results

147.0ms	8032×	body	80	valid
1.0ms	14×	body	1280	valid
1.0ms	8×	body	640	valid
0.0ms	5×	body	320	valid
0.0ms	2×	body	2560	valid
0.0ms	4×	body	160	valid