Details

sample51.0ms

Algorithm

intervals

Results

26.0ms	91×	body	1280	valid
6.0ms	125×	body	80	valid
4.0ms	19×	body	640	valid
3.0ms	18×	body	320	valid
0.0ms	3×	body	160	valid

simplify61.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	12
1	19	12
2	24	12
3	28	12
4	30	12
5	35	12
6	36	12
done	36	12

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.6b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))
0.0b	(/ 1.0 (hypot 1.0 x))
1.7b	(- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt` `*-un-lft-identity`
11×	`add-cube-cbrt`
9×	`times-frac`
6×	`pow1`
5×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`associate-/r` `associate-/l`
2×	`sqrt-pow1` `sqrt-div` `associate-*r/`
1×	`cbrt-undiv` `sub-neg` `flip3--` `frac-2neg` `flip3-+` `pow1/2` `diff-log` `div-exp` `pow-prod-down` `clear-num` `sqrt-prod` `flip--` `flip-+` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 54

Calls

3 calls:

21.0ms	(sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))
9.0ms	(/ 1.0 (hypot 1.0 x))
10.0ms	(- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))

series222.0ms

Counts

3 → 9

Calls

3 calls:

81.0ms	(sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))
12.0ms	(/ 1.0 (hypot 1.0 x))
128.0ms	(- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))

simplify3.6s

Counts

63 → 63

Iterations

Useful iterations: 4 (1.9s)

Iter	Nodes	Cost
0	105	855
1	202	779
2	471	735
3	1205	733
4	4118	731
done	5000	731

prune212.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 17.1b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1.0 (hypot 1.0 x))
0.0b	(/ 1.0 (hypot 1.0 x))
0.0b	(/ (- (* 1.0 1.0) (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))
1.3b	(- (* 1.0 1.0) (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

37×	`*-un-lft-identity`
30×	`times-frac`
29×	`add-sqr-sqrt` `add-cube-cbrt`
10×	`add-exp-log` `associate-/r*` `add-cbrt-cube`
9×	`associate-/l*`
6×	`add-log-exp`
4×	`pow1` `distribute-lft-out`
3×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv`
2×	`flip3--` `associate-/r/` `flip--` `associate-/l/` `associate--r+`
1×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `flip3-+` `diff-log` `div-sub` `flip-+`

Counts

4 → 104

Calls

4 calls:

5.0ms	(/ 1.0 (hypot 1.0 x))
5.0ms	(/ 1.0 (hypot 1.0 x))
40.0ms	(/ (- (* 1.0 1.0) (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))
24.0ms	(- (* 1.0 1.0) (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))

series269.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(/ 1.0 (hypot 1.0 x))
8.0ms	(/ 1.0 (hypot 1.0 x))
205.0ms	(/ (- (* 1.0 1.0) (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))
44.0ms	(- (* 1.0 1.0) (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))

simplify1.2s

Counts

116 → 116

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	141	2407
1	339	2325
2	1179	2133
done	5000	1932

prune498.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 17.0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1.0 (hypot 1.0 x))
0.0b	(/ (log (exp (- (* 1.0 1.0) (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))
1.3b	(log (exp (- (* 1.0 1.0) (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))
1.3b	(- (* 1.0 1.0) (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))

rewrite135.0ms

Algorithm

rewrite-expression-head

Rules

48×	`*-un-lft-identity`
37×	`times-frac`
32×	`add-sqr-sqrt` `add-cube-cbrt`
24×	`log-pow`
18×	`exp-prod`
10×	`pow1` `associate-/l*`
8×	`add-exp-log` `add-cbrt-cube` `distribute-lft-out`
7×	`associate-/r*`
6×	`add-log-exp`
5×	`log-prod`
2×	`cbrt-undiv` `sub-neg` `log-div` `frac-2neg` `exp-diff` `div-exp` `exp-sum` `clear-num` `associate-/r/` `div-inv` `associate--r+`
1×	`distribute-rgt-in` `flip3--` `distribute-lft-in` `flip3-+` `diff-log` `div-sub` `rem-log-exp` `flip--` `flip-+`

Counts

4 → 113

Calls

4 calls:

7.0ms	(/ 1.0 (hypot 1.0 x))
81.0ms	(/ (log (exp (- (* 1.0 1.0) (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))
26.0ms	(log (exp (- (* 1.0 1.0) (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))
17.0ms	(- (* 1.0 1.0) (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))

series296.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(/ 1.0 (hypot 1.0 x))
182.0ms	(/ (log (exp (- (* 1.0 1.0) (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))
42.0ms	(log (exp (- (* 1.0 1.0) (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))
57.0ms	(- (* 1.0 1.0) (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))

simplify4.0s

Counts

125 → 125

Iterations

Useful iterations: done (4.0s)

Iter	Nodes	Cost
0	185	3489
1	359	3229
2	1103	3009
3	4517	2772
done	5001	2771

prune522.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 17.0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1.0 (hypot 1.0 x))
0.0b	(/ (log (exp (- 0.5 (/ 0.5 (hypot 1.0 x))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))
1.3b	(- 0.5 (/ 0.5 (hypot 1.0 x)))
1.3b	(log (exp (- 0.5 (/ 0.5 (hypot 1.0 x)))))

rewrite250.0ms

Algorithm

rewrite-expression-head

Rules

71×	`*-un-lft-identity`
70×	`add-sqr-sqrt`
56×	`times-frac`
42×	`log-pow`
36×	`exp-prod`
35×	`add-cube-cbrt`
14×	`difference-of-squares`
13×	`associate-/l*`
11×	`distribute-lft-out`
10×	`pow1`
8×	`add-exp-log` `add-cbrt-cube`
7×	`associate-/r*` `distribute-lft-out--`
6×	`add-log-exp`
5×	`log-prod`
2×	`cbrt-undiv` `sub-neg` `log-div` `frac-2neg` `exp-diff` `div-exp` `exp-sum` `clear-num` `associate-/r/` `div-inv`
1×	`flip3--` `flip3-+` `diff-log` `div-sub` `rem-log-exp` `flip--` `flip-+`

Counts

4 → 132

Calls

4 calls:

5.0ms	(/ 1.0 (hypot 1.0 x))
160.0ms	(/ (log (exp (- 0.5 (/ 0.5 (hypot 1.0 x))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))
31.0ms	(- 0.5 (/ 0.5 (hypot 1.0 x)))
43.0ms	(log (exp (- 0.5 (/ 0.5 (hypot 1.0 x)))))

series346.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(/ 1.0 (hypot 1.0 x))
235.0ms	(/ (log (exp (- 0.5 (/ 0.5 (hypot 1.0 x))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))
47.0ms	(- 0.5 (/ 0.5 (hypot 1.0 x)))
56.0ms	(log (exp (- 0.5 (/ 0.5 (hypot 1.0 x)))))

simplify1.9s

Counts

144 → 144

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	206	3373
1	390	3077
2	913	2915
3	2252	2915
done	5000	2913

prune515.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 17.0b

regimes224.0ms

Accuracy

0% (0.0b remaining)

Error of 15.0b against oracle of 15.0b and baseline of 15.0b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	22
1	17	22
done	17	22

end0.0ms

sample2.5s

Algorithm

intervals

Results

1.7s	2897×	body	1280	valid
243.0ms	4006×	body	80	valid
163.0ms	609×	body	640	valid
125.0ms	156×	body	160	valid
63.0ms	332×	body	320	valid