Details

sample23.0ms

Algorithm

intervals

Results

7.0ms	191×	body	80	valid
3.0ms	15×	body	1280	valid
2.0ms	19×	body	640	valid
2.0ms	19×	body	320	valid
1.0ms	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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 22.6b

localize15.0ms

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))

rewrite75.0ms

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:

28.0ms	(* (- 1.0 x) y)
22.0ms	(- 1.0 (/ (* (- 1.0 x) y) (+ y 1.0)))
23.0ms	(/ (* (- 1.0 x) y) (+ y 1.0))

series216.0ms

Counts

3 → 9

Calls

3 calls:

48.0ms	(* (- 1.0 x) y)
113.0ms	(- 1.0 (/ (* (- 1.0 x) y) (+ y 1.0)))
55.0ms	(/ (* (- 1.0 x) y) (+ y 1.0))

simplify1.2s

Counts

75 → 75

Iterations

Iter	Nodes
done	5000
2	1305
1	349
0	131

prune253.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize25.0ms

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))))

rewrite56.0ms

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:

15.0ms	(/ y (+ y 1.0))
36.0ms	(* (- 1.0 x) (/ y (+ y 1.0)))
4.0ms	(- 1.0 (* (- 1.0 x) (/ y (+ y 1.0))))

series198.0ms

Counts

3 → 9

Calls

3 calls:

48.0ms	(/ y (+ y 1.0))
68.0ms	(* (- 1.0 x) (/ y (+ y 1.0)))
81.0ms	(- 1.0 (* (- 1.0 x) (/ y (+ y 1.0))))

simplify1.5s

Counts

100 → 100

Iterations

Iter	Nodes
done	5001
2	1630
1	427
0	160

prune402.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize57.0ms

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)))

rewrite860.0ms

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:

16.0ms	(/ (* y (- 1.0 x)) (+ 1.0 y))
24.0ms	(/ (* y (- 1.0 x)) (+ 1.0 y))
32.0ms	(/ (* y (- 1.0 x)) (+ 1.0 y))
786.0ms	(/ (- (* (* 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)))

series1.1s

Counts

4 → 12

Calls

4 calls:

62.0ms	(/ (* y (- 1.0 x)) (+ 1.0 y))
66.0ms	(/ (* y (- 1.0 x)) (+ 1.0 y))
47.0ms	(/ (* y (- 1.0 x)) (+ 1.0 y))
961.0ms	(/ (- (* (* 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)))

simplify2.5s

Counts

133 → 133

Iterations

Iter	Nodes
done	5001
2	2169
1	494
0	165

prune661.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize59.0ms

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)))

rewrite416.0ms

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:

16.0ms	(/ (* y (- 1.0 x)) (+ 1.0 y))
17.0ms	(/ (* y (- 1.0 x)) (+ 1.0 y))
33.0ms	(/ (* y (- 1.0 x)) (+ 1.0 y))
342.0ms	(/ (* (* (/ (* 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)))

series741.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(/ (* y (- 1.0 x)) (+ 1.0 y))
63.0ms	(/ (* y (- 1.0 x)) (+ 1.0 y))
44.0ms	(/ (* y (- 1.0 x)) (+ 1.0 y))
589.0ms	(/ (* (* (/ (* 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)))

simplify3.1s

Counts

185 → 185

Iterations

Iter	Nodes
done	5004
2	4320
1	930
0	278

prune801.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.1b

regimes182.0ms

Accuracy

100% (0.0b remaining)

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

bsearch134.0ms

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

782.0ms	6077×	body	80	valid
145.0ms	748×	body	640	valid
112.0ms	522×	body	320	valid
87.0ms	365×	body	1280	valid
27.0ms	288×	body	160	valid