Details

sample15.0ms

Algorithm

intervals

Results

5.0ms	236×	body	80	valid
1.0ms	9×	body	1280	valid
0.0ms	5×	body	640	valid
0.0ms	2×	body	2560	valid
0.0ms	3×	body	320	valid
0.0ms	1×	body	160	valid

simplify4.6s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	12	7
2	19	7
3	29	7
4	40	7
5	94	7
6	206	7
7	486	7
8	1272	7
9	4324	7
done	5000	7

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ x (/ (- x y) 2.0))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

3×	`*-un-lft-identity` `add-log-exp`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `associate-+r-` `flip3-+` `div-sub` `sum-log` `add-cbrt-cube` `flip-+` `distribute-lft-out`

Counts

1 → 13

Calls

1 calls:

30.0ms

(+ x (/ (- x y) 2.0))

series44.0ms

Counts

1 → 3

Calls

1 calls:

44.0ms

(+ x (/ (- x y) 2.0))

simplify1.9s

Counts

16 → 16

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	34	178
1	92	171
2	250	157
3	791	157
4	3874	157
done	5001	157

prune46.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 1 expressions with local error:

0.0b	(- (+ x (/ x 2.0)) (/ y 2.0))

rewrite128.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `*-un-lft-identity` `add-log-exp`
2×	`diff-log` `frac-sub` `distribute-lft-out--` `difference-of-squares`
1×	`pow1` `add-exp-log` `add-cube-cbrt` `sub-neg` `flip3--` `flip3-+` `times-frac` `associate--l+` `sum-log` `add-cbrt-cube` `flip--` `flip-+` `distribute-lft-out`

Counts

1 → 20

Calls

1 calls:

127.0ms

(- (+ x (/ x 2.0)) (/ y 2.0))

series43.0ms

Counts

1 → 3

Calls

1 calls:

42.0ms

(- (+ x (/ x 2.0)) (/ y 2.0))

simplify921.0ms

Counts

23 → 23

Iterations

Useful iterations: 3 (314.0ms)

Iter	Nodes	Cost
0	66	371
1	162	356
2	486	338
3	1873	330
done	5002	330

prune74.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (- (+ x (/ x 2.0)) (/ y 2.0))) (cbrt (- (+ x (/ x 2.0)) (/ y 2.0))))
0.6b	(cbrt (- (+ x (/ x 2.0)) (/ y 2.0)))
0.6b	(cbrt (- (+ x (/ x 2.0)) (/ y 2.0)))
0.6b	(cbrt (- (+ x (/ x 2.0)) (/ y 2.0)))

rewrite637.0ms

Algorithm

rewrite-expression-head

Rules

74×	`*-un-lft-identity`
65×	`cbrt-prod`
58×	`add-sqr-sqrt`
52×	`cbrt-div`
26×	`frac-sub`
22×	`distribute-lft-out--`
16×	`frac-times` `swap-sqr`
15×	`add-cube-cbrt`
14×	`difference-of-squares`
13×	`flip3--` `flip3-+` `flip--` `flip-+`
11×	`pow1` `distribute-lft-out`
10×	`associate-r` `associate-l`
9×	`pow1/3`
7×	`times-frac`
6×	`add-exp-log`
4×	`associate-r/` `associate-l/` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 139

Calls

4 calls:

475.0ms	(* (cbrt (- (+ x (/ x 2.0)) (/ y 2.0))) (cbrt (- (+ x (/ x 2.0)) (/ y 2.0))))
54.0ms	(cbrt (- (+ x (/ x 2.0)) (/ y 2.0)))
48.0ms	(cbrt (- (+ x (/ x 2.0)) (/ y 2.0)))
52.0ms	(cbrt (- (+ x (/ x 2.0)) (/ y 2.0)))

series2.2s

Counts

4 → 12

Calls

4 calls:

569.0ms	(* (cbrt (- (+ x (/ x 2.0)) (/ y 2.0))) (cbrt (- (+ x (/ x 2.0)) (/ y 2.0))))
557.0ms	(cbrt (- (+ x (/ x 2.0)) (/ y 2.0)))
587.0ms	(cbrt (- (+ x (/ x 2.0)) (/ y 2.0)))
491.0ms	(cbrt (- (+ x (/ x 2.0)) (/ y 2.0)))

simplify978.0ms

Counts

151 → 151

Iterations

Useful iterations: done (970.0ms)

Iter	Nodes	Cost
0	201	4468
1	406	4163
2	1267	4017
done	5001	3690

prune544.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (/ (- x y) 2.0) (/ (- x y) 2.0))
0.0b	(- x (/ (- x y) 2.0))
11.7b	(- (* x x) (* (/ (- x y) 2.0) (/ (- x y) 2.0)))
28.2b	(/ (- (* x x) (* (/ (- x y) 2.0) (/ (- x y) 2.0))) (- x (/ (- x y) 2.0)))

rewrite240.0ms

Algorithm

rewrite-expression-head

Rules

122×	`add-sqr-sqrt`
110×	`*-un-lft-identity`
106×	`times-frac`
56×	`add-cube-cbrt`
32×	`difference-of-squares`
25×	`swap-sqr`
24×	`distribute-lft-out--`
19×	`associate-r` `associate-l`
18×	`add-exp-log` `add-cbrt-cube`
11×	`pow1`
8×	`add-log-exp`
6×	`associate-/r*`
5×	`cbrt-undiv` `div-exp` `div-inv`
4×	`flip3--` `prod-exp` `flip--` `cbrt-unprod` `associate-/l*` `unswap-sqr`
2×	`sub-neg` `diff-log` `div-sub` `associate-/r/` `associate-/l/`
1×	`pow2` `frac-times` `frac-2neg` `pow-plus` `associate-r/` `pow-prod-down` `associate-l/` `clear-num` `pow-sqr` `*-commutative` `pow-prod-up` `associate--r-`

Counts

4 → 171

Calls

4 calls:

95.0ms	(* (/ (- x y) 2.0) (/ (- x y) 2.0))
43.0ms	(- x (/ (- x y) 2.0))
16.0ms	(- (* x x) (* (/ (- x y) 2.0) (/ (- x y) 2.0)))
76.0ms	(/ (- (* x x) (* (/ (- x y) 2.0) (/ (- x y) 2.0))) (- x (/ (- x y) 2.0)))

series265.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(* (/ (- x y) 2.0) (/ (- x y) 2.0))
48.0ms	(- x (/ (- x y) 2.0))
57.0ms	(- (* x x) (* (/ (- x y) 2.0) (/ (- x y) 2.0)))
119.0ms	(/ (- (* x x) (* (/ (- x y) 2.0) (/ (- x y) 2.0))) (- x (/ (- x y) 2.0)))

simplify399.0ms

Counts

183 → 183

Iterations

Useful iterations: done (391.0ms)

Iter	Nodes	Cost
0	260	4201
1	847	3868
done	5000	3586

prune364.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.0b

regimes103.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	7	7
done	7	7

end0.0ms

sample529.0ms

Algorithm

intervals

Results

229.0ms	7370×	body	80	valid
48.0ms	235×	body	1280	valid
15.0ms	176×	body	640	valid
12.0ms	89×	body	2560	valid
6.0ms	92×	body	320	valid
2.0ms	40×	body	160	valid