Details

sample90.0ms

Algorithm

intervals

Results

28.0ms	56×	body	1280	valid
13.0ms	39×	body	640	valid
10.0ms	163×	body	80	valid
5.0ms	108×	body	80	nan
4.0ms	20×	body	320	valid
2.0ms	14×	body	160	valid

simplify57.0ms

Counts: 1 → 1

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.7b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ x (+ x y))
0.0b	(/ (pow (/ x (+ x y)) x) x)
6.4b	(pow (/ x (+ x y)) x)

rewrite130.0ms

Algorithm

rewrite-expression-head

Rules

138×	`times-frac`
118×	`*-un-lft-identity`
90×	`unpow-prod-down`
80×	`add-sqr-sqrt` `add-cube-cbrt`
25×	`associate-/l*`
19×	`distribute-lft-out`
16×	`add-exp-log`
12×	`associate-/r/`
7×	`div-exp` `associate-/r*` `add-cbrt-cube` `div-inv`
6×	`flip3-+` `flip-+`
5×	`sqr-pow`
4×	`pow1` `pow-exp`
3×	`pow-unpow` `add-log-exp`
2×	`cbrt-undiv` `pow-to-exp` `frac-2neg` `clear-num`
1×	`pow-pow`

Counts

3 → 172

Calls

3 calls:

19.0ms	(/ x (+ x y))
73.0ms	(/ (pow (/ x (+ x y)) x) x)
23.0ms	(pow (/ x (+ x y)) x)

series496.0ms

Counts

3 → 9

Calls

3 calls:

49.0ms	(/ x (+ x y))
143.0ms	(/ (pow (/ x (+ x y)) x) x)
304.0ms	(pow (/ x (+ x y)) x)

simplify63.0ms

Counts: 181 → 181

prune535.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.8b

localize30.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.8b	(pow (/ (cbrt x) (cbrt (+ x y))) x)
2.0b	(pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

61×	`unpow-prod-down`
51×	`cbrt-prod`
48×	`*-un-lft-identity`
43×	`times-frac`
36×	`add-sqr-sqrt` `add-cube-cbrt`
20×	`add-exp-log`
14×	`cbrt-div`
10×	`associate-/r/`
7×	`flip3-+` `pow-exp` `flip-+`
6×	`pow1` `pow-unpow` `distribute-lft-out`
5×	`div-exp`
4×	`frac-times` `prod-exp` `add-cbrt-cube` `add-log-exp`
2×	`pow-to-exp` `pow-pow` `pow1/3` `associate-r/` `associate-l/` `div-inv` `sqr-pow`

Counts

4 → 116

Calls

4 calls:

2.0ms	(cbrt x)
2.0ms	(cbrt x)
37.0ms	(pow (/ (cbrt x) (cbrt (+ x y))) x)
34.0ms	(pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)

series1.1s

Counts

4 → 12

Calls

4 calls:

209.0ms	(cbrt x)
206.0ms	(cbrt x)
372.0ms	(pow (/ (cbrt x) (cbrt (+ x y))) x)
358.0ms	(pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)

simplify52.0ms

Counts: 128 → 128

prune635.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.8b	(pow (fabs (/ (cbrt x) (cbrt (+ x y)))) (* 2 (/ x 2)))
0.8b	(pow (fabs (/ (cbrt x) (cbrt (+ x y)))) (* 2 (/ x 2)))
0.8b	(pow (/ (cbrt x) (cbrt (+ x y))) x)

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

54×	`unpow-prod-down`
48×	`cbrt-prod`
47×	`*-un-lft-identity`
42×	`times-frac`
35×	`add-sqr-sqrt` `add-cube-cbrt`
9×	`add-exp-log`
7×	`pow1`
6×	`distribute-lft-out`
5×	`pow-unpow`
4×	`pow-exp` `add-cbrt-cube` `add-log-exp`
3×	`pow-to-exp` `pow-pow` `sqr-pow`
2×	`cbrt-div` `associate-/r/`
1×	`flip3-+` `pow1/3` `div-exp` `flip-+` `div-inv`

Counts

4 → 104

Calls

4 calls:

1.0ms	(cbrt x)
5.0ms	(pow (fabs (/ (cbrt x) (cbrt (+ x y)))) (* 2 (/ x 2)))
6.0ms	(pow (fabs (/ (cbrt x) (cbrt (+ x y)))) (* 2 (/ x 2)))
42.0ms	(pow (/ (cbrt x) (cbrt (+ x y))) x)

series627.0ms

Counts

4 → 12

Calls

4 calls:

224.0ms	(cbrt x)
36.0ms	(pow (fabs (/ (cbrt x) (cbrt (+ x y)))) (* 2 (/ x 2)))
43.0ms	(pow (fabs (/ (cbrt x) (cbrt (+ x y)))) (* 2 (/ x 2)))
324.0ms	(pow (/ (cbrt x) (cbrt (+ x y))) x)

simplify129.0ms

Counts: 116 → 116

prune686.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 1 expressions with local error:

0.0b	(/ (exp (* -1 y)) x)

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `times-frac`
3×	`associate-/r` `add-cbrt-cube` `associate-/l`
2×	`add-exp-log`
1×	`pow1` `cbrt-undiv` `exp-neg` `frac-2neg` `mul-1-neg` `div-exp` `clear-num` `div-inv` `associate-/l/` `add-log-exp`

Counts

1 → 28

Calls

1 calls:

18.0ms

(/ (exp (* -1 y)) x)

series33.0ms

Counts

1 → 3

Calls

1 calls:

33.0ms

(/ (exp (* -1 y)) x)

simplify86.0ms

Counts: 31 → 31

prune93.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes86.0ms

Accuracy

99.5% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 5.8b

bsearch71.0ms

Steps

Iters	Range		Point
9	1.8485205844676482	4824453.9585698685	17.832108462486296
2	-1.332302107423794e+30	-1.1599838619312589e+30	-1.2474791693654794e+30

simplify48.0ms

end0.0ms

sample3.7s

Algorithm

intervals

Results

1.5s	1609×	body	1280	valid
714.0ms	1469×	body	640	valid
381.0ms	4755×	body	80	valid
229.0ms	866×	body	320	valid
209.0ms	3062×	body	80	nan
158.0ms	446×	body	160	valid