Details

sample82.0ms

Algorithm

intervals

Results

30.0ms	52×	body	1280	valid
21.0ms	39×	body	640	valid
11.0ms	136×	body	80	valid
5.0ms	17×	body	320	valid
2.0ms	12×	body	160	valid

simplify1.5s

Counts

1 → 1

Iterations

Iter	Nodes
done	2002
8	2002
7	794
6	244
5	100
4	50
3	29
2	22
1	18
0	9

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.5b

localize23.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ 1 (exp (* -2 x)))
0.0b	(/ 2 (+ 1 (exp (* -2 x))))
3.9b	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)

rewrite125.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 67

Calls

3 calls:

11.0ms	(+ 1 (exp (* -2 x)))
21.0ms	(/ 2 (+ 1 (exp (* -2 x))))
88.0ms	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)

series130.0ms

Counts

3 → 9

Calls

3 calls:

21.0ms	(+ 1 (exp (* -2 x)))
28.0ms	(/ 2 (+ 1 (exp (* -2 x))))
81.0ms	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)

simplify1.8s

Counts

76 → 76

Iterations

Iter	Nodes
done	2007
4	2007
3	1850
2	676
1	282
0	120

prune370.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 2 (+ 1 (exp (* x -2))))
0.0b	(+ 1 (exp (* x -2)))
3.9b	(- (/ 2 (+ 1 (exp (* x -2)))) 1)

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 67

Calls

3 calls:

10.0ms	(/ 2 (+ 1 (exp (* x -2))))
6.0ms	(+ 1 (exp (* x -2)))
49.0ms	(- (/ 2 (+ 1 (exp (* x -2)))) 1)

series146.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(/ 2 (+ 1 (exp (* x -2))))
19.0ms	(+ 1 (exp (* x -2)))
91.0ms	(- (/ 2 (+ 1 (exp (* x -2)))) 1)

simplify1.3s

Counts

76 → 76

Iterations

Iter	Nodes
done	2000
3	2000
2	873
1	288
0	122

prune389.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (pow x 5) 2/15)
0.1b	(* x (* x x))
0.1b	(* -1/3 (* x (* x x)))
17.9b	(+ (+ (* (pow x 5) 2/15) x) (* -1/3 (* x (* x x))))

rewrite165.0ms

Algorithm

rewrite-expression-head

Rules

27×	`pow1`
23×	`add-exp-log`
20×	`add-cbrt-cube`
15×	`add-sqr-sqrt`
13×	`associate-l`
12×	`prod-exp`
10×	`cbrt-unprod`
9×	`*-un-lft-identity` `pow-prod-down` `add-cube-cbrt` `add-log-exp`
5×	`associate-r` `pow-prod-up`
4×	`unpow-prod-down` `insert-posit16` `unswap-sqr`
3×	`sum-log` `*-commutative`
2×	`sqr-pow`
1×	`pow2` `pow-to-exp` `+-commutative` `associate-+l+` `flip3-+` `pow-plus` `cube-unmult` `pow-exp` `pow-sqr` `flip-+`

Counts

4 → 87

Calls

4 calls:

16.0ms	(* (pow x 5) 2/15)
26.0ms	(* x (* x x))
69.0ms	(* -1/3 (* x (* x x)))
51.0ms	(+ (+ (* (pow x 5) 2/15) x) (* -1/3 (* x (* x x))))

series273.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(* (pow x 5) 2/15)
41.0ms	(* x (* x x))
74.0ms	(* -1/3 (* x (* x x)))
101.0ms	(+ (+ (* (pow x 5) 2/15) x) (* -1/3 (* x (* x x))))

simplify1.4s

Counts

99 → 99

Iterations

Iter	Nodes
done	2000
3	2000
2	1212
1	335
0	133

prune453.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes121.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 29.2b

bsearch142.0ms

Steps

Iters	Range		Point
10	7.991732613382949e-10	32640636.358721357	0.007348611436970888
8	-5.107543836967609	-0.0003123738223918218	-0.007634363267689736

simplify8.0ms

Iterations

Iter	Nodes
done	37
1	37
0	25

end0.0ms

sample2.7s

Algorithm

intervals

Results

1.2s	1730×	body	1280	valid
588.0ms	1195×	body	640	valid
433.0ms	4112×	body	80	valid
261.0ms	627×	body	320	valid
67.0ms	336×	body	160	valid