Details

sample18.0ms

Algorithm

intervals

Results

6.0ms	257×	body	80	valid
0.0ms	1×	body	640	valid

simplify21.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize3.0ms

Local error

Found 1 expressions with local error:

0.0b	(* 500.0 (- x y))

rewrite25.0ms

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-exp-log` `associate-l` `add-cbrt-cube`
2×	`sub-neg` `associate-*r/`
1×	`expm1-log1p-u` `flip3--` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `log1p-expm1-u` `distribute-lft-out--` `add-log-exp` `difference-of-squares` `unswap-sqr`

Counts

1 → 46

Calls

1 calls:

23.0ms

(* 500.0 (- x y))

series35.0ms

Counts

1 → 3

Calls

1 calls:

35.0ms

(* 500.0 (- x y))

simplify1.4s

Counts

49 → 49

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	102	721
1	192	548
2	415	438
3	1732	396
done	5001	342

prune60.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.3b	(* (sqrt 500.0) (* (sqrt 500.0) (- x y)))
0.3b	(* (sqrt 500.0) (- x y))

rewrite104.0ms

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-exp-log` `add-cbrt-cube`
7×	`sqrt-prod`
6×	`sub-neg` `associate-r/` `associate-r*`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `flip3--` `*-commutative` `flip--` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
1×	`distribute-lft-out--` `difference-of-squares`

Counts

2 → 119

Calls

2 calls:

59.0ms	(* (sqrt 500.0) (* (sqrt 500.0) (- x y)))
40.0ms	(* (sqrt 500.0) (- x y))

series249.0ms

Counts

2 → 6

Calls

2 calls:

144.0ms	(* (sqrt 500.0) (* (sqrt 500.0) (- x y)))
105.0ms	(* (sqrt 500.0) (- x y))

simplify4.2s

Counts

125 → 125

Iterations

Useful iterations: 3 (2.0s)

Iter	Nodes	Cost
0	186	2575
1	338	1588
2	934	1264
3	4495	1138
done	5000	1138

prune197.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 1 expressions with local error:

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

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-log-exp`
2×	`sum-log`
1×	`pow1` `add-exp-log` `+-commutative` `neg-sub0` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `associate-+r-` `fma-def` `*-un-lft-identity` `flip3-+` `unsub-neg` `neg-log` `add-cbrt-cube` `flip-+` `log1p-expm1-u`

Counts

1 → 18

Calls

1 calls:

19.0ms

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

series71.0ms

Counts

1 → 3

Calls

1 calls:

70.0ms

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

simplify5.0s

Counts

21 → 21

Iterations

Useful iterations: 3 (1.3s)

Iter	Nodes	Cost
0	38	218
1	124	156
2	503	139
3	2329	135
done	5000	135

prune44.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

1.0ms

(fma 500.0 x (- (* y 500.0)))

series53.0ms

Counts

1 → 3

Calls

1 calls:

52.0ms

(fma 500.0 x (- (* y 500.0)))

simplify1.7s

Counts

13 → 13

Iterations

Useful iterations: 2 (11.0ms)

Iter	Nodes	Cost
0	18	120
1	30	90
2	72	80
3	305	80
4	1451	80
done	5001	80

prune25.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify5.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	11	7
2	13	7
done	13	7

end0.0ms

sample320.0ms

Algorithm

intervals

Results

126.0ms	8038×	body	80	valid
1.0ms	10×	body	1280	valid
0.0ms	5×	body	2560	valid
0.0ms	8×	body	320	valid
0.0ms	6×	body	640	valid
0.0ms	3×	body	160	valid