Details

sample20.0ms

Algorithm

intervals

Results

13.0ms

256×

body

valid

simplify148.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	174
8	174
7	170
6	160
5	136
4	88
3	48
2	27
1	15
0	7

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.4b

localize11.0ms

Local error

Found 1 expressions with local error:

12.4b

(/ (* (* x 2.0) y) (- x y))

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

142×	`add-sqr-sqrt`
110×	`times-frac`
100×	`*-un-lft-identity`
90×	`associate-l`
54×	`add-cube-cbrt`
36×	`associate-r`
24×	`unswap-sqr`
23×	`distribute-lft-out--` `difference-of-squares`
22×	`associate-/l*`
12×	`*-commutative`
10×	`add-cbrt-cube` `add-exp-log`
5×	`associate-/r*`
3×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod`
2×	`associate-/r/`
1×	`pow1` `clear-num` `frac-2neg` `flip3--` `insert-posit16` `div-inv` `flip--` `add-log-exp`

Counts

1 → 156

Calls

1 calls:

74.0ms

(/ (* (* x 2.0) y) (- x y))

series94.0ms

Counts

1 → 3

Calls

1 calls:

94.0ms

(/ (* (* x 2.0) y) (- x y))

simplify2.3s

Counts

159 → 159

Iterations

Iter	Nodes
done	5001
2	2499
1	713
0	264

prune538.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- x y) y)
8.0b	(/ (* x 2.0) (/ (- x y) y))

rewrite105.0ms

Algorithm

rewrite-expression-head

Rules

438×	`times-frac`
319×	`add-sqr-sqrt`
279×	`*-un-lft-identity`
191×	`add-cube-cbrt`
60×	`associate-r` `associate-l`
44×	`distribute-lft-out--` `difference-of-squares`
25×	`associate-/r*`
22×	`associate-/l*`
20×	`*-commutative` `unswap-sqr`
16×	`add-cbrt-cube` `add-exp-log`
15×	`div-inv`
13×	`associate-/r/`
7×	`cbrt-undiv` `div-exp`
4×	`associate-/l/`
3×	`clear-num` `frac-2neg`
2×	`pow1` `flip3--` `prod-exp` `cbrt-unprod` `insert-posit16` `flip--` `add-log-exp`
1×	`div-sub`

Counts

2 → 330

Calls

2 calls:

34.0ms	(/ (- x y) y)
53.0ms	(/ (* x 2.0) (/ (- x y) y))

series174.0ms

Counts

2 → 6

Calls

2 calls:

49.0ms	(/ (- x y) y)
125.0ms	(/ (* x 2.0) (/ (- x y) y))

simplify1.7s

Counts

336 → 336

Iterations

Iter	Nodes
done	5000
1	1519
0	471

prune1.0s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize48.0ms

Local error

Found 4 expressions with local error:

3.0b	(/ (* x 2.0) (* (cbrt (/ (- x y) y)) (cbrt (/ (- x y) y))))
8.3b	(cbrt (/ (- x y) y))
8.3b	(cbrt (/ (- x y) y))
8.3b	(cbrt (/ (- x y) y))

rewrite582.0ms

Algorithm

rewrite-expression-head

Rules

2091×	`times-frac`
1817×	`add-sqr-sqrt`
1565×	`*-un-lft-identity`
1357×	`cbrt-prod`
939×	`add-cube-cbrt`
547×	`associate-r` `associate-l`
403×	`cbrt-div`
364×	`swap-sqr`
274×	`distribute-lft-out--`
204×	`unswap-sqr`
196×	`difference-of-squares`
195×	`associate-/r/`
179×	`associate-/r*`
169×	`frac-times`
167×	`associate-/l*`
100×	`*-commutative`
62×	`associate-/l/`
56×	`div-inv`
32×	`clear-num` `frac-2neg`
31×	`flip3--` `flip--`
29×	`add-cbrt-cube`
16×	`add-exp-log`
13×	`associate-l/` `associate-r/` `cbrt-unprod`
10×	`cbrt-undiv`
4×	`pow1` `div-exp` `prod-exp` `insert-posit16` `add-log-exp`
3×	`pow1/3`

Counts

4 → 1473

Calls

4 calls:

301.0ms	(/ (* x 2.0) (* (cbrt (/ (- x y) y)) (cbrt (/ (- x y) y))))
24.0ms	(cbrt (/ (- x y) y))
19.0ms	(cbrt (/ (- x y) y))
19.0ms	(cbrt (/ (- x y) y))

series1.6s

Counts

4 → 12

Calls

4 calls:

467.0ms	(/ (* x 2.0) (* (cbrt (/ (- x y) y)) (cbrt (/ (- x y) y))))
373.0ms	(cbrt (/ (- x y) y))
337.0ms	(cbrt (/ (- x y) y))
378.0ms	(cbrt (/ (- x y) y))

simplify2.9s

Counts

1485 → 1485

Iterations

Iter	Nodes
done	5001
0	1811

prune7.0s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ (* (sqrt 2.0) y) (- x y))
0.4b	(* x (sqrt 2.0))
0.4b	(* (sqrt 2.0) y)
8.1b	(* (* x (sqrt 2.0)) (/ (* (sqrt 2.0) y) (- x y)))

rewrite337.0ms

Algorithm

rewrite-expression-head

Rules

272×	`add-sqr-sqrt`
169×	`times-frac`
167×	`*-un-lft-identity`
137×	`associate-r`
101×	`associate-l`
97×	`add-cube-cbrt`
67×	`sqrt-prod`
56×	`unswap-sqr`
34×	`add-cbrt-cube` `add-exp-log` `associate-/l*` `distribute-lft-out--` `difference-of-squares`
24×	`associate-*r/`
16×	`*-commutative`
14×	`prod-exp` `cbrt-unprod`
13×	`pow1`
10×	`associate-/r*`
6×	`cbrt-undiv` `div-exp`
5×	`pow-prod-down`
4×	`associate-/r/` `insert-posit16` `add-log-exp`
3×	`clear-num` `un-div-inv`
2×	`frac-2neg` `flip3--` `div-inv` `flip--`

Counts

4 → 328

Calls

4 calls:

44.0ms	(/ (* (sqrt 2.0) y) (- x y))
17.0ms	(* x (sqrt 2.0))
19.0ms	(* (sqrt 2.0) y)
239.0ms	(* (* x (sqrt 2.0)) (/ (* (sqrt 2.0) y) (- x y)))

series463.0ms

Counts

4 → 12

Calls

4 calls:

128.0ms	(/ (* (sqrt 2.0) y) (- x y))
58.0ms	(* x (sqrt 2.0))
74.0ms	(* (sqrt 2.0) y)
203.0ms	(* (* x (sqrt 2.0)) (/ (* (sqrt 2.0) y) (- x y)))

simplify3.2s

Counts

340 → 340

Iterations

Iter	Nodes
done	5102
2	4350
1	1067
0	315

prune955.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes125.0ms

Accuracy

97.3% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 7.5b

bsearch97.0ms

Steps

Iters	Range		Point
9	8.730695420406985e-60	6.810515924561306e-51	4.4252920350929445e-52
9	-5.532094628653386e-05	-4.652517827429915e-11	-6.866893468999323e-09

simplify6.0ms

Iterations

Iter	Nodes
done	19
1	19
0	15

end0.0ms

sample963.0ms

Algorithm

intervals

Results

757.0ms

8000×

body

valid