Details

sample18.0ms

Algorithm

intervals

Results

9.0ms

256×

body

valid

simplify15.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	16
3	16
2	14
1	11
0	5

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 1 expressions with local error:

0.0b	(/ (- x y) (+ x y))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

34×	`*-un-lft-identity`
22×	`add-sqr-sqrt`
20×	`times-frac`
12×	`add-cube-cbrt`
6×	`distribute-lft-out`
5×	`associate-/l*` `distribute-lft-out--` `difference-of-squares`
4×	`associate-/r*`
3×	`add-cbrt-cube` `add-exp-log`
2×	`associate-/r/` `associate-/l/`
1×	`pow1` `cbrt-undiv` `clear-num` `frac-2neg` `flip3-+` `flip3--` `div-sub` `div-exp` `flip-+` `insert-posit16` `div-inv` `flip--` `add-log-exp`

Counts

1 → 47

Calls

1 calls:

16.0ms

(/ (- x y) (+ x y))

series76.0ms

Counts

1 → 3

Calls

1 calls:

76.0ms

(/ (- x y) (+ x y))

simplify1.6s

Counts

50 → 50

Iterations

Iter	Nodes
done	5004
3	2479
2	565
1	194
0	79

prune124.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ x (+ x y))
0.0b	(/ y (+ x y))
0.0b	(- (/ x (+ x y)) (/ y (+ x y)))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

63×	`*-un-lft-identity`
40×	`times-frac`
35×	`add-sqr-sqrt`
23×	`add-cube-cbrt`
12×	`distribute-lft-out`
8×	`associate-/r*` `associate-/r/`
7×	`add-cbrt-cube` `add-exp-log` `distribute-lft-out--`
6×	`associate-/l*`
5×	`add-log-exp`
4×	`flip3-+` `flip-+` `div-inv` `difference-of-squares`
3×	`pow1` `distribute-rgt-out--` `insert-posit16`
2×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp`
1×	`sub-neg` `flip3--` `diff-log` `frac-sub` `flip--` `sub-div`

Counts

3 → 97

Calls

3 calls:

8.0ms	(/ x (+ x y))
10.0ms	(/ y (+ x y))
37.0ms	(- (/ x (+ x y)) (/ y (+ x y)))

series167.0ms

Counts

3 → 9

Calls

3 calls:

45.0ms	(/ x (+ x y))
43.0ms	(/ y (+ x y))
80.0ms	(- (/ x (+ x y)) (/ y (+ x y)))

simplify1.5s

Counts

106 → 106

Iterations

Iter	Nodes
done	5019
3	3665
2	920
1	290
0	133

prune320.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (+ x y) x)
0.0b	(- (/ 1 (/ (+ x y) x)) (/ y (+ x y)))
0.0b	(/ y (+ x y))
0.6b	(/ 1 (/ (+ x y) x))

rewrite102.0ms

Algorithm

rewrite-expression-head

Rules

141×	`times-frac`
127×	`*-un-lft-identity`
104×	`add-sqr-sqrt`
71×	`add-cube-cbrt`
23×	`associate-/r*`
21×	`distribute-lft-out`
19×	`add-exp-log`
13×	`add-cbrt-cube`
10×	`associate-/l*` `difference-of-squares`
9×	`div-exp`
8×	`div-inv`
6×	`add-log-exp`
5×	`pow1` `cbrt-undiv`
4×	`insert-posit16` `distribute-lft-out--`
3×	`clear-num` `frac-2neg` `associate-/r/`
2×	`rec-exp` `flip3-+` `1-exp` `flip-+` `associate-/l/`
1×	`sub-neg` `flip3--` `diff-log` `frac-sub` `pow-flip` `flip--` `inv-pow`

Counts

4 → 185

Calls

4 calls:

21.0ms	(/ (+ x y) x)
60.0ms	(- (/ 1 (/ (+ x y) x)) (/ y (+ x y)))
7.0ms	(/ y (+ x y))
10.0ms	(/ 1 (/ (+ x y) x))

series251.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(/ (+ x y) x)
93.0ms	(- (/ 1 (/ (+ x y) x)) (/ y (+ x y)))
59.0ms	(/ y (+ x y))
63.0ms	(/ 1 (/ (+ x y) x))

simplify1.6s

Counts

197 → 197

Iterations

Iter	Nodes
done	5000
2	1713
1	600
0	246

prune545.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ y (+ x y))
0.1b	(* (* (/ y (+ x y)) (/ y (+ x y))) (/ y (+ x y)))
0.1b	(* (/ y (+ x y)) (/ y (+ x y)))
15.3b	(cbrt (* (* (/ y (+ x y)) (/ y (+ x y))) (/ y (+ x y))))

rewrite191.0ms

Algorithm

rewrite-expression-head

Rules

113×	`*-un-lft-identity`
89×	`times-frac`
72×	`add-sqr-sqrt`
59×	`add-cbrt-cube` `add-exp-log`
57×	`add-cube-cbrt`
36×	`associate-r`
30×	`pow1`
25×	`distribute-lft-out`
24×	`swap-sqr`
22×	`prod-exp` `cbrt-unprod`
19×	`associate-l`
18×	`cbrt-undiv` `div-exp`
12×	`associate-/r/`
11×	`frac-times` `associate-*l/`
7×	`cbrt-div` `pow-plus` `associate-*r/` `pow-prod-up`
6×	`flip3-+` `flip-+` `div-inv` `unswap-sqr`
4×	`associate-/r*` `pow-prod-down` `insert-posit16` `add-log-exp`
3×	`pow2` `pow-sqr` `associate-/l*`
2×	`pow3` `*-commutative`
1×	`cbrt-prod` `clear-num` `frac-2neg` `pow1/3` `rem-cbrt-cube`

Counts

4 → 209

Calls

4 calls:

11.0ms	(/ y (+ x y))
78.0ms	(* (* (/ y (+ x y)) (/ y (+ x y))) (/ y (+ x y)))
42.0ms	(* (/ y (+ x y)) (/ y (+ x y)))
54.0ms	(cbrt (* (* (/ y (+ x y)) (/ y (+ x y))) (/ y (+ x y))))

series341.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(/ y (+ x y))
134.0ms	(* (* (/ y (+ x y)) (/ y (+ x y))) (/ y (+ x y)))
93.0ms	(* (/ y (+ x y)) (/ y (+ x y)))
51.0ms	(cbrt (* (* (/ y (+ x y)) (/ y (+ x y))) (/ y (+ x y))))

simplify1.7s

Counts

221 → 221

Iterations

Iter	Nodes
done	5002
2	2384
1	692
0	203

prune639.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes64.0ms

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	11
1	11
0	8

end0.0ms

sample434.0ms

Algorithm

intervals

Results

296.0ms

8000×

body

valid