Details

sample23.0ms

Algorithm

intervals

Results

9.0ms	257×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid

simplify81.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	26
4	26
3	21
2	15
1	8
0	5

prune18.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 1 expressions with local error:

0.0b	(* 500.0 (- x y))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt`
5×	`-un-lft-identity` `associate-r*`
3×	`pow1` `add-cbrt-cube` `associate-l` `add-exp-log` `add-cube-cbrt`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-*r/`
1×	`flip3--` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `insert-posit16` `flip--` `distribute-lft-out--` `add-log-exp` `difference-of-squares` `unswap-sqr`

Counts

1 → 27

Calls

1 calls:

53.0ms

(* 500.0 (- x y))

series53.0ms

Counts

1 → 3

Calls

1 calls:

53.0ms

(* 500.0 (- x y))

simplify3.7s

Counts

30 → 30

Iterations

Iter	Nodes
done	5000
3	1130
2	320
1	124
0	53

prune209.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize49.0ms

Local error

Found 1 expressions with local error:

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

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
2×	`distribute-rgt-neg-out`
1×	`add-sqr-sqrt` `pow1` `+-commutative` `sum-log` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `unsub-neg` `add-exp-log` `add-cube-cbrt` `flip-+` `insert-posit16` `distribute-lft-out`

Counts

1 → 15

Calls

1 calls:

19.0ms

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

series67.0ms

Counts

1 → 3

Calls

1 calls:

67.0ms

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

simplify3.7s

Counts

18 → 18

Iterations

Iter	Nodes
done	5003
3	1406
2	411
1	108
0	32

prune178.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize82.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (- x y))
0.0b	(sqrt (- x y))
0.1b	(* 500.0 (sqrt (- x y)))
0.2b	(* (* 500.0 (sqrt (- x y))) (sqrt (- x y)))

rewrite256.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
21×	`sqrt-prod`
19×	`*-un-lft-identity`
18×	`sqrt-div`
16×	`associate-r`
13×	`pow1`
11×	`add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
10×	`associate-*r/`
9×	`flip3--` `flip--`
4×	`frac-times` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-l/` `-commutative` `unswap-sqr`

Counts

4 → 95

Calls

4 calls:

15.0ms	(sqrt (- x y))
20.0ms	(sqrt (- x y))
89.0ms	(* 500.0 (sqrt (- x y)))
122.0ms	(* (* 500.0 (sqrt (- x y))) (sqrt (- x y)))

series395.0ms

Counts

4 → 12

Calls

4 calls:

101.0ms	(sqrt (- x y))
103.0ms	(sqrt (- x y))
132.0ms	(* 500.0 (sqrt (- x y)))
59.0ms	(* (* 500.0 (sqrt (- x y))) (sqrt (- x y)))

simplify5.8s

Counts

107 → 107

Iterations

Iter	Nodes
done	5001
3	2594
2	869
1	297
0	122

prune843.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize115.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* 500.0 (* (fabs (cbrt (- x y))) (sqrt (cbrt (- x y))))) (sqrt (- x y)))
0.2b	(* (fabs (cbrt (- x y))) (sqrt (cbrt (- x y))))
0.6b	(cbrt (- x y))
0.6b	(cbrt (- x y))

rewrite531.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
20×	`*-un-lft-identity`
19×	`associate-r`
16×	`cbrt-prod` `associate-*r/`
15×	`pow1` `add-cbrt-cube` `add-exp-log` `sqrt-prod`
14×	`sqrt-div`
12×	`cbrt-div` `add-cube-cbrt`
9×	`flip3--` `flip--`
7×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`frac-times` `associate-l` `insert-posit16` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
3×	`unswap-sqr`
2×	`pow1/3` `associate-l/` `-commutative`

Counts

4 → 98

Calls

4 calls:

394.0ms	(* (* 500.0 (* (fabs (cbrt (- x y))) (sqrt (cbrt (- x y))))) (sqrt (- x y)))
82.0ms	(* (fabs (cbrt (- x y))) (sqrt (cbrt (- x y))))
22.0ms	(cbrt (- x y))
19.0ms	(cbrt (- x y))

series1.6s

Counts

4 → 12

Calls

4 calls:

531.0ms	(* (* 500.0 (* (fabs (cbrt (- x y))) (sqrt (cbrt (- x y))))) (sqrt (- x y)))
486.0ms	(* (fabs (cbrt (- x y))) (sqrt (cbrt (- x y))))
326.0ms	(cbrt (- x y))
298.0ms	(cbrt (- x y))

simplify4.6s

Counts

110 → 110

Iterations

Iter	Nodes
done	5000
2	1856
1	558
0	228

prune1.2s

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.0b

regimes555.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	6
1	6
0	5

end0.0ms

sample1.1s

Algorithm

intervals

Results

440.0ms	8036×	body	80	valid
4.0ms	16×	body	1280	valid
2.0ms	7×	body	2560	valid
2.0ms	7×	body	640	valid
1.0ms	5×	body	320	valid
0.0ms	1×	body	160	valid