Details

sample37.0ms

Algorithm

intervals

Results

13.0ms	191×	body	80	valid
5.0ms	19×	body	640	valid
5.0ms	15×	body	1280	valid
3.0ms	19×	body	320	valid
2.0ms	12×	body	160	valid

simplify2.5s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
14	4122
13	3069
12	2474
11	2032
10	1843
9	1602
8	1334
7	972
6	535
5	248
4	118
3	71
2	33
1	16
0	8

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 22.6b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- 1.0 x) y)
4.0b	(- 1.0 (/ (* (- 1.0 x) y) (+ y 1.0)))
7.0b	(/ (* (- 1.0 x) y) (+ y 1.0))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

15×	`*-un-lft-identity`
13×	`add-sqr-sqrt`
10×	`add-cbrt-cube` `add-exp-log`
7×	`add-cube-cbrt`
5×	`pow1` `associate-l` `add-log-exp`
4×	`associate-/r` `times-frac` `associate-l/`
3×	`flip3--` `associate-r` `insert-posit16` `flip--`
2×	`cbrt-undiv` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares` `associate-/l/`
1×	`clear-num` `sub-neg` `frac-2neg` `flip3-+` `diff-log` `pow-prod-down` `-commutative` `flip-+` `div-inv` `associate-/l` `unswap-sqr`

Counts

3 → 66

Calls

3 calls:

21.0ms	(* (- 1.0 x) y)
11.0ms	(- 1.0 (/ (* (- 1.0 x) y) (+ y 1.0)))
20.0ms	(/ (* (- 1.0 x) y) (+ y 1.0))

series159.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms	(* (- 1.0 x) y)
73.0ms	(- 1.0 (/ (* (- 1.0 x) y) (+ y 1.0)))
53.0ms	(/ (* (- 1.0 x) y) (+ y 1.0))

simplify1.1s

Counts

75 → 75

Iterations

Iter	Nodes
done	5000
2	1305
1	349
0	131

prune259.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ y (+ y 1.0))
0.0b	(* (- 1.0 x) (/ y (+ y 1.0)))
4.0b	(- 1.0 (* (- 1.0 x) (/ y (+ y 1.0))))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

37×	`*-un-lft-identity`
28×	`add-sqr-sqrt`
25×	`times-frac`
21×	`add-cube-cbrt`
18×	`associate-r`
10×	`add-cbrt-cube` `add-exp-log`
7×	`distribute-lft-out`
5×	`pow1` `associate-l` `add-log-exp`
4×	`associate-/r*` `associate-/r/`
3×	`flip3--` `insert-posit16` `flip--` `associate-/l*`
2×	`frac-times` `cbrt-undiv` `flip3-+` `div-exp` `associate-*l/` `prod-exp` `cbrt-unprod` `flip-+` `div-inv` `unswap-sqr`
1×	`clear-num` `sub-neg` `frac-2neg` `diff-log` `pow-prod-down` `associate-r/` `-commutative` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 91

Calls

3 calls:

12.0ms	(/ y (+ y 1.0))
34.0ms	(* (- 1.0 x) (/ y (+ y 1.0)))
5.0ms	(- 1.0 (* (- 1.0 x) (/ y (+ y 1.0))))

series208.0ms

Counts

3 → 9

Calls

3 calls:

52.0ms	(/ y (+ y 1.0))
66.0ms	(* (- 1.0 x) (/ y (+ y 1.0)))
91.0ms	(- 1.0 (* (- 1.0 x) (/ y (+ y 1.0))))

simplify1.3s

Counts

100 → 100

Iterations

Iter	Nodes
done	5001
2	1630
1	427
0	160

prune336.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize45.0ms

Local error

Found 4 expressions with local error:

7.0b	(/ (* y (- 1.0 x)) (+ 1.0 y))
7.0b	(/ (* y (- 1.0 x)) (+ 1.0 y))
7.0b	(/ (* y (- 1.0 x)) (+ 1.0 y))
14.2b	(/ (- (* (* 1.0 1.0) 1.0) (* (* (/ (* y (- 1.0 x)) (+ 1.0 y)) (/ (* y (- 1.0 x)) (+ 1.0 y))) (/ (* y (- 1.0 x)) (+ 1.0 y)))) (+ (* (/ (* y (- 1.0 x)) (+ 1.0 y)) (+ 1.0 (/ (* y (- 1.0 x)) (+ 1.0 y)))) (* 1.0 1.0)))

rewrite773.0ms

Algorithm

rewrite-expression-head

Rules

31×	`*-un-lft-identity`
24×	`times-frac`
21×	`add-cbrt-cube` `add-exp-log`
19×	`add-sqr-sqrt` `add-cube-cbrt`
15×	`associate-/r*`
8×	`pow3` `associate-/r/` `associate-/l/`
7×	`cbrt-undiv` `div-exp` `associate-/l*`
6×	`associate-*r/` `distribute-lft-out`
4×	`pow1` `difference-cubes` `clear-num` `frac-2neg` `flip3-+` `flip3--` `flip-+` `insert-posit16` `div-inv` `flip--` `add-log-exp`
3×	`prod-exp` `cbrt-unprod`
1×	`div-sub`

Counts

4 → 121

Calls

4 calls:

17.0ms	(/ (* y (- 1.0 x)) (+ 1.0 y))
19.0ms	(/ (* y (- 1.0 x)) (+ 1.0 y))
31.0ms	(/ (* y (- 1.0 x)) (+ 1.0 y))
705.0ms	(/ (- (* (* 1.0 1.0) 1.0) (* (* (/ (* y (- 1.0 x)) (+ 1.0 y)) (/ (* y (- 1.0 x)) (+ 1.0 y))) (/ (* y (- 1.0 x)) (+ 1.0 y)))) (+ (* (/ (* y (- 1.0 x)) (+ 1.0 y)) (+ 1.0 (/ (* y (- 1.0 x)) (+ 1.0 y)))) (* 1.0 1.0)))

series873.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(/ (* y (- 1.0 x)) (+ 1.0 y))
41.0ms	(/ (* y (- 1.0 x)) (+ 1.0 y))
52.0ms	(/ (* y (- 1.0 x)) (+ 1.0 y))
742.0ms	(/ (- (* (* 1.0 1.0) 1.0) (* (* (/ (* y (- 1.0 x)) (+ 1.0 y)) (/ (* y (- 1.0 x)) (+ 1.0 y))) (/ (* y (- 1.0 x)) (+ 1.0 y)))) (+ (* (/ (* y (- 1.0 x)) (+ 1.0 y)) (+ 1.0 (/ (* y (- 1.0 x)) (+ 1.0 y)))) (* 1.0 1.0)))

simplify2.6s

Counts

133 → 133

Iterations

Iter	Nodes
done	5001
2	2169
1	494
0	165

prune635.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize62.0ms

Local error

Found 4 expressions with local error:

7.0b	(/ (* y (- 1.0 x)) (+ 1.0 y))
7.0b	(/ (* y (- 1.0 x)) (+ 1.0 y))
7.0b	(/ (* y (- 1.0 x)) (+ 1.0 y))
14.3b	(/ (* (* (/ (* y (- 1.0 x)) (+ 1.0 y)) (/ (* y (- 1.0 x)) (+ 1.0 y))) (/ (* y (- 1.0 x)) (+ 1.0 y))) (+ (* (/ (* y (- 1.0 x)) (+ 1.0 y)) (+ 1.0 (/ (* y (- 1.0 x)) (+ 1.0 y)))) (* 1.0 1.0)))

rewrite358.0ms

Algorithm

rewrite-expression-head

Rules

222×	`add-cbrt-cube` `add-exp-log`
93×	`cbrt-undiv` `div-exp`
88×	`prod-exp` `cbrt-unprod`
24×	`*-un-lft-identity`
15×	`associate-/r*` `times-frac`
13×	`associate-/l/`
12×	`add-sqr-sqrt` `add-cube-cbrt`
9×	`associate-*r/`
8×	`associate-/r/`
6×	`distribute-lft-out`
5×	`frac-times` `associate-*l/`
4×	`pow1` `clear-num` `frac-2neg` `flip3-+` `flip-+` `insert-posit16` `div-inv` `associate-/l*` `add-log-exp`
3×	`flip3--` `flip--`

Counts

4 → 173

Calls

4 calls:

26.0ms	(/ (* y (- 1.0 x)) (+ 1.0 y))
17.0ms	(/ (* y (- 1.0 x)) (+ 1.0 y))
28.0ms	(/ (* y (- 1.0 x)) (+ 1.0 y))
281.0ms	(/ (* (* (/ (* y (- 1.0 x)) (+ 1.0 y)) (/ (* y (- 1.0 x)) (+ 1.0 y))) (/ (* y (- 1.0 x)) (+ 1.0 y))) (+ (* (/ (* y (- 1.0 x)) (+ 1.0 y)) (+ 1.0 (/ (* y (- 1.0 x)) (+ 1.0 y)))) (* 1.0 1.0)))

series688.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(/ (* y (- 1.0 x)) (+ 1.0 y))
64.0ms	(/ (* y (- 1.0 x)) (+ 1.0 y))
38.0ms	(/ (* y (- 1.0 x)) (+ 1.0 y))
526.0ms	(/ (* (* (/ (* y (- 1.0 x)) (+ 1.0 y)) (/ (* y (- 1.0 x)) (+ 1.0 y))) (/ (* y (- 1.0 x)) (+ 1.0 y))) (+ (* (/ (* y (- 1.0 x)) (+ 1.0 y)) (+ 1.0 (/ (* y (- 1.0 x)) (+ 1.0 y)))) (* 1.0 1.0)))

simplify3.0s

Counts

185 → 185

Iterations

Iter	Nodes
done	5004
2	4320
1	930
0	278

prune690.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.1b

regimes119.0ms

Accuracy

100% (0.0b remaining)

Error of 0.2b against oracle of 0.2b and baseline of 14.4b

bsearch113.0ms

Steps

Iters	Range		Point
9	3402034.979919666	7.43027159421113e+15	181059310.44765908
9	-5300214575.088034	-34.11472770615283	-142333186.8719295

simplify3.0ms

Iterations

Iter	Nodes
done	26
1	26
0	19

end0.0ms

sample1.3s

Algorithm

intervals

Results

571.0ms	6077×	body	80	valid
238.0ms	748×	body	640	valid
152.0ms	365×	body	1280	valid
132.0ms	522×	body	320	valid
71.0ms	288×	body	160	valid