Details

sample19.0ms

Algorithm

intervals

Results

10.0ms

290×

body

valid

simplify3.5s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
17	4757
16	4453
15	4144
14	3857
13	3552
12	3243
11	2859
10	2382
9	1691
8	1180
7	911
6	645
5	361
4	183
3	85
2	42
1	19
0	10

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* x (- y 1.0)) (* y 0.5))
0.0b	(* x (- y 1.0))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 44

Calls

2 calls:

13.0ms	(- (* x (- y 1.0)) (* y 0.5))
20.0ms	(* x (- y 1.0))

series83.0ms

Counts

2 → 6

Calls

2 calls:

45.0ms	(- (* x (- y 1.0)) (* y 0.5))
38.0ms	(* x (- y 1.0))

simplify1.5s

Counts

50 → 50

Iterations

Iter	Nodes
done	5006
3	1917
2	528
1	197
0	81

prune129.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ (* x y) (- (* x (- 1.0)) (* y 0.5)))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-log-exp`
2×	`associate-+r+` `sum-log`
1×	`add-sqr-sqrt` `pow1` `+-commutative` `associate-+r-` `sub-neg` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `diff-log` `add-exp-log` `add-cube-cbrt` `flip-+` `insert-posit16`

Counts

1 → 16

Calls

1 calls:

15.0ms

(+ (* x y) (- (* x (- 1.0)) (* y 0.5)))

series34.0ms

Counts

1 → 3

Calls

1 calls:

34.0ms

(+ (* x y) (- (* x (- 1.0)) (* y 0.5)))

simplify1.2s

Counts

19 → 19

Iterations

Iter	Nodes
done	5007
3	1757
2	430
1	117
0	41

prune94.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* (sqrt (* x (- y 1.0))) (sqrt (* x (- y 1.0)))) (* y 0.5))
0.0b	(* x (- y 1.0))
0.0b	(* x (- y 1.0))
0.2b	(* (sqrt (* x (- y 1.0))) (sqrt (* x (- y 1.0))))

rewrite173.0ms

Algorithm

rewrite-expression-head

Rules

57×	`pow1`
28×	`sqrt-pow1`
22×	`add-sqr-sqrt` `pow-prod-down`
18×	`associate-*r/`
16×	`*-un-lft-identity`
14×	`associate-r`
12×	`sqrt-div` `add-cube-cbrt`
10×	`add-cbrt-cube` `pow1/2` `associate-l` `add-exp-log` `pow-prod-up`
9×	`flip3--` `flip--`
6×	`pow-sqr` `add-log-exp`
5×	`sub-neg`
4×	`distribute-rgt-in` `frac-times` `distribute-lft-in` `swap-sqr` `sqrt-prod` `insert-posit16`
3×	`prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
2×	`associate-*l/` `distribute-lft-out--` `difference-of-squares`
1×	`pow2` `rem-square-sqrt` `pow-plus` `sqrt-unprod` `diff-log`

Counts

4 → 125

Calls

4 calls:

77.0ms	(- (* (sqrt (* x (- y 1.0))) (sqrt (* x (- y 1.0)))) (* y 0.5))
21.0ms	(* x (- y 1.0))
25.0ms	(* x (- y 1.0))
48.0ms	(* (sqrt (* x (- y 1.0))) (sqrt (* x (- y 1.0))))

series143.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(- (* (sqrt (* x (- y 1.0))) (sqrt (* x (- y 1.0)))) (* y 0.5))
33.0ms	(* x (- y 1.0))
44.0ms	(* x (- y 1.0))
37.0ms	(* (sqrt (* x (- y 1.0))) (sqrt (* x (- y 1.0))))

simplify1.9s

Counts

137 → 137

Iterations

Iter	Nodes
done	5000
3	2815
2	776
1	309
0	138

prune371.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (- y 1.0))
0.3b	(cbrt (- y 1.0))
0.3b	(cbrt (- y 1.0))
0.3b	(* (cbrt (- y 1.0)) (cbrt (- y 1.0)))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

43×	`cbrt-prod`
37×	`add-sqr-sqrt`
35×	`*-un-lft-identity`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
10×	`swap-sqr`
9×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--`
8×	`associate-r` `associate-l`
7×	`difference-of-squares`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `insert-posit16` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 105

Calls

4 calls:

3.0ms	(cbrt (- y 1.0))
3.0ms	(cbrt (- y 1.0))
3.0ms	(cbrt (- y 1.0))
23.0ms	(* (cbrt (- y 1.0)) (cbrt (- y 1.0)))

series514.0ms

Counts

4 → 12

Calls

4 calls:

148.0ms	(cbrt (- y 1.0))
117.0ms	(cbrt (- y 1.0))
105.0ms	(cbrt (- y 1.0))
144.0ms	(* (cbrt (- y 1.0)) (cbrt (- y 1.0)))

simplify2.0s

Counts

117 → 117

Iterations

Iter	Nodes
done	5000
3	2596
2	960
1	396
0	169

prune686.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes163.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	24
3	24
2	23
1	19
0	12

end0.0ms

sample730.0ms

Algorithm

intervals

Results

558.0ms	9154×	body	80	valid
0.0ms	2×	body	1280	valid
0.0ms	2×	body	640	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	160	valid