Details

sample14.0ms

Algorithm

intervals

Results

7.0ms

256×

body

valid

simplify15.0ms

Counts

1 → 1

Iterations

Useful iterations: 3 (6.0ms)

Iter	Nodes	Cost
0	9	11
1	15	11
2	22	11
3	26	10
4	29	10
5	30	10
done	30	10

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(- x (/ y (+ 1.0 (/ (* x y) 2.0))))
6.2b	(/ y (+ 1.0 (/ (* x y) 2.0)))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

82×	`*-un-lft-identity`
59×	`add-sqr-sqrt`
54×	`add-cube-cbrt` `prod-diff`
49×	`times-frac`
13×	`distribute-lft-out`
8×	`associate-/r/`
4×	`add-exp-log` `flip3-+` `associate-/r*` `add-cbrt-cube` `flip-+` `div-inv` `add-log-exp`
3×	`fma-neg` `associate-/l*`
2×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `difference-of-squares`
1×	`cbrt-undiv` `sub-neg` `flip3--` `frac-2neg` `diff-log` `div-exp` `clear-num` `flip--` `distribute-lft-out--`

Counts

2 → 109

Calls

2 calls:

23.0ms	(- x (/ y (+ 1.0 (/ (* x y) 2.0))))
9.0ms	(/ y (+ 1.0 (/ (* x y) 2.0)))

series99.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(- x (/ y (+ 1.0 (/ (* x y) 2.0))))
65.0ms	(/ y (+ 1.0 (/ (* x y) 2.0)))

simplify861.0ms

Counts

115 → 115

Iterations

Useful iterations: done (857.0ms)

Iter	Nodes	Cost
0	229	4947
1	589	4390
2	2061	3240
done	5000	3237

prune183.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

3.6b	(/ y (- (* 1.0 1.0) (* (/ (* x y) 2.0) (/ (* x y) 2.0))))
3.6b	(/ y (- (* 1.0 1.0) (* (/ (* x y) 2.0) (/ (* x y) 2.0))))
6.4b	(+ (- (- 1.0 (/ (* x y) 2.0))) (- 1.0 (/ (* x y) 2.0)))
14.9b	(* (- 1.0 (/ (* x y) 2.0)) (/ y (- (* 1.0 1.0) (* (/ (* x y) 2.0) (/ (* x y) 2.0)))))

rewrite125.0ms

Algorithm

rewrite-expression-head

Rules

101×	`*-un-lft-identity`
83×	`add-sqr-sqrt`
64×	`add-cube-cbrt`
55×	`times-frac`
42×	`prod-diff`
23×	`associate-+l+` `associate-+r+` `distribute-neg-in`
21×	`add-log-exp`
18×	`associate-r` `difference-of-squares`
14×	`distribute-lft-neg-in` `fma-def` `distribute-lft-out--`
13×	`add-exp-log` `add-cbrt-cube`
12×	`distribute-rgt-neg-in`
9×	`distribute-rgt-out` `flip3--` `flip--` `div-inv` `distribute-lft-out`
8×	`associate-/r*`
6×	`pow1` `sum-log` `associate-/r/` `associate-/l*`
5×	`diff-log` `associate-l`
4×	`expm1-log1p-u` `neg-mul-1` `neg-log` `frac-add` `log1p-expm1-u` `distribute-neg-frac`
3×	`cbrt-undiv` `distribute-lft1-in` `div-exp`
2×	`frac-times` `sub-neg` `frac-2neg` `associate-*l/` `prod-exp` `clear-num` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `neg-sub0` `associate-+l-` `associate-+r-` `flip3-+` `associate-r/` `pow-prod-down` `-commutative` `flip-+`

Counts

4 → 220

Calls

4 calls:

5.0ms	(/ y (- (* 1.0 1.0) (* (/ (* x y) 2.0) (/ (* x y) 2.0))))
7.0ms	(/ y (- (* 1.0 1.0) (* (/ (* x y) 2.0) (/ (* x y) 2.0))))
75.0ms	(+ (- (- 1.0 (/ (* x y) 2.0))) (- 1.0 (/ (* x y) 2.0)))
29.0ms	(* (- 1.0 (/ (* x y) 2.0)) (/ y (- (* 1.0 1.0) (* (/ (* x y) 2.0) (/ (* x y) 2.0)))))

series216.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(/ y (- (* 1.0 1.0) (* (/ (* x y) 2.0) (/ (* x y) 2.0))))
57.0ms	(/ y (- (* 1.0 1.0) (* (/ (* x y) 2.0) (/ (* x y) 2.0))))
1.0ms	(+ (- (- 1.0 (/ (* x y) 2.0))) (- 1.0 (/ (* x y) 2.0)))
102.0ms	(* (- 1.0 (/ (* x y) 2.0)) (/ y (- (* 1.0 1.0) (* (/ (* x y) 2.0) (/ (* x y) 2.0)))))

simplify2.8s

Counts

232 → 232

Iterations

Useful iterations: 2 (352.0ms)

Iter	Nodes	Cost
0	328	5717
1	862	4863
2	4260	3958
done	5000	3958

prune786.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ x (/ 2.0 y))
3.6b	(/ y (- (* 1.0 1.0) (* (/ (* x y) 2.0) (/ (* x y) 2.0))))
6.4b	(+ (- (- 1.0 (/ (* x y) 2.0))) (- 1.0 (/ (* x y) 2.0)))
17.8b	(/ (* (- 1.0 (/ (* x y) 2.0)) y) (* (- 1.0 (/ x (/ 2.0 y))) (fma (/ y 2.0) x 1.0)))

rewrite123.0ms

Algorithm

rewrite-expression-head

Rules

123×	`*-un-lft-identity`
106×	`times-frac`
100×	`add-sqr-sqrt`
88×	`add-cube-cbrt`
42×	`prod-diff`
23×	`add-exp-log` `associate-+l+` `associate-+r+` `distribute-neg-in` `add-cbrt-cube`
21×	`add-log-exp`
18×	`associate-/r*`
14×	`distribute-lft-neg-in` `fma-def`
13×	`div-inv` `distribute-lft-out--`
12×	`distribute-rgt-neg-in`
10×	`difference-of-squares`
9×	`distribute-rgt-out` `distribute-lft-out`
8×	`cbrt-undiv` `div-exp`
7×	`flip3--` `flip--` `associate-/l*`
6×	`sum-log`
5×	`diff-log` `associate-/r/`
4×	`pow1` `expm1-log1p-u` `neg-mul-1` `neg-log` `associate-*l/` `frac-add` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `distribute-neg-frac`
3×	`frac-2neg` `distribute-lft1-in` `clear-num`
2×	`sub-neg` `associate-/l/`
1×	`+-commutative` `neg-sub0` `associate-+l-` `associate-+r-` `flip3-+` `flip-+`

Counts

4 → 239

Calls

4 calls:

5.0ms	(/ x (/ 2.0 y))
5.0ms	(/ y (- (* 1.0 1.0) (* (/ (* x y) 2.0) (/ (* x y) 2.0))))
75.0ms	(+ (- (- 1.0 (/ (* x y) 2.0))) (- 1.0 (/ (* x y) 2.0)))
27.0ms	(/ (* (- 1.0 (/ (* x y) 2.0)) y) (* (- 1.0 (/ x (/ 2.0 y))) (fma (/ y 2.0) x 1.0)))

series138.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(/ x (/ 2.0 y))
55.0ms	(/ y (- (* 1.0 1.0) (* (/ (* x y) 2.0) (/ (* x y) 2.0))))
1.0ms	(+ (- (- 1.0 (/ (* x y) 2.0))) (- 1.0 (/ (* x y) 2.0)))
59.0ms	(/ (* (- 1.0 (/ (* x y) 2.0)) y) (* (- 1.0 (/ x (/ 2.0 y))) (fma (/ y 2.0) x 1.0)))

simplify439.0ms

Counts

251 → 251

Iterations

Useful iterations: done (431.0ms)

Iter	Nodes	Cost
0	477	5198
1	1248	4219
done	5000	3987

prune1.0s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize3.0ms

Local error

Found 1 expressions with local error:

0.0b	(- x (/ 2.0 x))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-sqr-sqrt`
39×	`prod-diff`
38×	`*-un-lft-identity`
36×	`add-cube-cbrt`
28×	`times-frac`
3×	`fma-neg` `div-inv` `add-log-exp`
2×	`difference-of-squares`
1×	`pow1` `add-exp-log` `expm1-log1p-u` `sub-neg` `flip3--` `diff-log` `add-cbrt-cube` `flip--` `log1p-expm1-u` `distribute-lft-out--`

Counts

1 → 59

Calls

1 calls:

8.0ms

(- x (/ 2.0 x))

series45.0ms

Counts

1 → 3

Calls

1 calls:

45.0ms

(- x (/ 2.0 x))

simplify655.0ms

Counts

62 → 62

Iterations

Useful iterations: done (652.0ms)

Iter	Nodes	Cost
0	150	1725
1	365	1494
2	1163	1004
done	5000	883

prune56.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes47.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	11
1	11	11
done	11	11

end0.0ms

sample345.0ms

Algorithm

intervals

Results

210.0ms	7998×	body	80	valid
0.0ms	1×	body	2560	valid
0.0ms	1×	body	1280	valid