Details

sample58.0ms

Algorithm

intervals

Results

20.0ms	56×	body	1280	valid
11.0ms	42×	body	640	valid
6.0ms	122×	body	80	valid
4.0ms	21×	body	320	valid
2.0ms	15×	body	160	valid

simplify2.9s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
7	3510
6	440
5	117
4	53
3	30
2	22
1	15
0	9

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 31.2b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 2.0 (+ 1.0 (pow (exp x) -2.0)))
0.0b	(pow (exp x) -2.0)
4.0b	(- (/ 2.0 (+ 1.0 (pow (exp x) -2.0))) 1.0)

rewrite186.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 68

Calls

3 calls:

30.0ms	(/ 2.0 (+ 1.0 (pow (exp x) -2.0)))
6.0ms	(pow (exp x) -2.0)
146.0ms	(- (/ 2.0 (+ 1.0 (pow (exp x) -2.0))) 1.0)

series547.0ms

Counts

3 → 9

Calls

3 calls:

172.0ms	(/ 2.0 (+ 1.0 (pow (exp x) -2.0)))
117.0ms	(pow (exp x) -2.0)
258.0ms	(- (/ 2.0 (+ 1.0 (pow (exp x) -2.0))) 1.0)

simplify552.0ms

Counts

77 → 77

Iterations

Iter	Nodes
done	5001
2	1085
1	326
0	140

prune394.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(* x (- 1.0 (* (* x x) 0.33333333333333337)))
0.1b	(* (* x x) 0.33333333333333337)
0.5b	(* 5.551115123125783e-17 (pow x 4))
10.8b	(- (* x (- 1.0 (* (* x x) 0.33333333333333337))) (* 5.551115123125783e-17 (pow x 4)))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
16×	`add-exp-log`
13×	`add-cbrt-cube` `associate-r`
11×	`pow1`
10×	`*-un-lft-identity` `add-cube-cbrt`
7×	`associate-l` `prod-exp`
6×	`add-log-exp`
5×	`sub-neg` `cbrt-unprod` `unswap-sqr`
4×	`distribute-rgt-in` `unpow-prod-down` `distribute-lft-in` `pow-prod-down` `associate--l+`
3×	`*-commutative`
2×	`flip3--` `associate-*r/` `flip--` `sqr-pow`
1×	`pow-to-exp` `diff-log` `pow-exp`

Counts

4 → 84

Calls

4 calls:

14.0ms	(* x (- 1.0 (* (* x x) 0.33333333333333337)))
14.0ms	(* (* x x) 0.33333333333333337)
12.0ms	(* 5.551115123125783e-17 (pow x 4))
19.0ms	(- (* x (- 1.0 (* (* x x) 0.33333333333333337))) (* 5.551115123125783e-17 (pow x 4)))

series293.0ms

Counts

4 → 12

Calls

4 calls:

137.0ms	(* x (- 1.0 (* (* x x) 0.33333333333333337)))
34.0ms	(* (* x x) 0.33333333333333337)
55.0ms	(* 5.551115123125783e-17 (pow x 4))
67.0ms	(- (* x (- 1.0 (* (* x x) 0.33333333333333337))) (* 5.551115123125783e-17 (pow x 4)))

simplify2.6s

Counts

96 → 96

Iterations

Iter	Nodes
done	5001
2	2410
1	386
0	145

prune458.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ 1.0 (pow (exp -2.0) x)))
0.0b	(/ (/ 2.0 (sqrt (+ 1.0 (pow (exp -2.0) x)))) (sqrt (+ 1.0 (pow (exp x) -2.0))))
0.5b	(/ 2.0 (sqrt (+ 1.0 (pow (exp -2.0) x))))
4.0b	(- (/ (/ 2.0 (sqrt (+ 1.0 (pow (exp -2.0) x)))) (sqrt (+ 1.0 (pow (exp x) -2.0)))) 1.0)

rewrite575.0ms

Algorithm

rewrite-expression-head

Rules

388×	`times-frac`
305×	`*-un-lft-identity`
233×	`sqrt-prod`
214×	`add-sqr-sqrt`
189×	`add-cube-cbrt`
57×	`distribute-lft-out`
30×	`associate-/l*`
22×	`sqrt-div`
20×	`associate-/r/`
14×	`associate-/r*`
11×	`flip3-+` `add-cbrt-cube` `add-exp-log` `flip-+`
10×	`div-inv`
7×	`difference-of-squares`
6×	`add-log-exp`
5×	`pow1`
4×	`cbrt-undiv` `div-exp`
2×	`clear-num` `frac-2neg`
1×	`rem-sqrt-square` `sub-neg` `sqrt-pow1` `flip3--` `pow1/2` `diff-log` `flip--` `distribute-lft-out--` `associate-/l/`

Counts

4 → 321

Calls

4 calls:

27.0ms	(sqrt (+ 1.0 (pow (exp -2.0) x)))
101.0ms	(/ (/ 2.0 (sqrt (+ 1.0 (pow (exp -2.0) x)))) (sqrt (+ 1.0 (pow (exp x) -2.0))))
35.0ms	(/ 2.0 (sqrt (+ 1.0 (pow (exp -2.0) x))))
386.0ms	(- (/ (/ 2.0 (sqrt (+ 1.0 (pow (exp -2.0) x)))) (sqrt (+ 1.0 (pow (exp x) -2.0)))) 1.0)

series706.0ms

Counts

4 → 12

Calls

4 calls:

71.0ms	(sqrt (+ 1.0 (pow (exp -2.0) x)))
242.0ms	(/ (/ 2.0 (sqrt (+ 1.0 (pow (exp -2.0) x)))) (sqrt (+ 1.0 (pow (exp x) -2.0))))
125.0ms	(/ 2.0 (sqrt (+ 1.0 (pow (exp -2.0) x))))
268.0ms	(- (/ (/ 2.0 (sqrt (+ 1.0 (pow (exp -2.0) x)))) (sqrt (+ 1.0 (pow (exp x) -2.0)))) 1.0)

simplify1.5s

Counts

333 → 333

Iterations

Iter	Nodes
done	5001
2	3652
1	909
0	388

prune1.6s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes124.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 32.1b

bsearch192.0ms

Steps

Iters	Range		Point
10	5.670292661026066e-06	47495130.80298876	0.0009878815081047318
10	-2043.0247777912484	-1.6260248627107784e-07	-0.0008283782545456687

simplify7.0ms

Iterations

Iter	Nodes
done	39
1	39
0	31

end0.0ms

sample1.9s

Algorithm

intervals

Results

664.0ms	1694×	body	1280	valid
356.0ms	1270×	body	640	valid
333.0ms	4113×	body	80	valid
159.0ms	607×	body	320	valid
83.0ms	316×	body	160	valid