Details

sample80.0ms

Algorithm

intervals

Results

31.0ms	67×	body	1280	valid
11.0ms	35×	body	640	valid
8.0ms	126×	body	80	valid
5.0ms	22×	body	320	valid
1.0ms	6×	body	160	valid

simplify4.7s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	10
1	15	10
2	22	10
3	30	10
4	53	10
5	117	10
6	441	10
7	3433	10
done	5000	10

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.8b

localize26.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
0.0b	(+ 1.0 (exp (* -2.0 x)))
1.9b	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

rewrite182.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 60

Calls

3 calls:

29.0ms	(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
14.0ms	(+ 1.0 (exp (* -2.0 x)))
135.0ms	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

series251.0ms

Counts

3 → 9

Calls

3 calls:

65.0ms	(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
36.0ms	(+ 1.0 (exp (* -2.0 x)))
149.0ms	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

simplify4.3s

Counts

69 → 69

Iterations

Useful iterations: 3 (1.4s)

Iter	Nodes	Cost
0	116	947
1	261	903
2	918	849
3	4728	838
done	5001	838

prune438.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize36.0ms

Local error

Found 3 expressions with local error:

0.1b	(* 0.33333333333333337 (pow x 3))
0.4b	(* 5.551115123125783e-17 (pow x 4))
7.8b	(+ (* 5.551115123125783e-17 (pow x 4)) (* 0.33333333333333337 (pow x 3)))

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt`
19×	`associate-r`
13×	`add-exp-log`
10×	`add-cube-cbrt` `*-un-lft-identity`
8×	`unpow-prod-down`
7×	`add-cbrt-cube` `unswap-sqr`
6×	`associate-l` `prod-exp`
5×	`add-log-exp`
4×	`cube-prod` `sqr-pow`
3×	`pow1`
2×	`pow-to-exp` `pow-exp` `*-commutative` `cbrt-unprod`
1×	`+-commutative` `cube-mult` `flip3-+` `unpow3` `sum-log` `flip-+`

Counts

3 → 67

Calls

3 calls:

33.0ms	(* 0.33333333333333337 (pow x 3))
25.0ms	(* 5.551115123125783e-17 (pow x 4))
21.0ms	(+ (* 5.551115123125783e-17 (pow x 4)) (* 0.33333333333333337 (pow x 3)))

series384.0ms

Counts

3 → 9

Calls

3 calls:

91.0ms	(* 0.33333333333333337 (pow x 3))
72.0ms	(* 5.551115123125783e-17 (pow x 4))
222.0ms	(+ (* 5.551115123125783e-17 (pow x 4)) (* 0.33333333333333337 (pow x 3)))

simplify1.2s

Counts

76 → 76

Iterations

Useful iterations: 2 (336.0ms)

Iter	Nodes	Cost
0	114	734
1	290	647
2	1118	602
done	5001	602

prune450.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize57.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 1.0 (exp (* -2.0 x)))
0.0b	(+ 1.0 (exp (* -2.0 x)))
0.0b	(pow (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 3)
1.8b	(- (pow (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 3) (pow 1.0 3))

rewrite419.0ms

Algorithm

rewrite-expression-head

Rules

67×	`add-sqr-sqrt`
47×	`*-un-lft-identity`
36×	`unpow-prod-down` `cube-prod`
32×	`times-frac`
24×	`difference-of-squares`
21×	`add-cube-cbrt`
11×	`sqr-pow`
10×	`add-log-exp`
8×	`distribute-lft-out`
7×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `distribute-lft-out--`
4×	`flip3-+` `associate-/r/` `flip-+`
3×	`pow-unpow`
2×	`+-commutative` `pow-exp` `sum-log` `div-inv` `rem-cube-cbrt`
1×	`difference-cubes` `cbrt-undiv` `cube-div` `cube-mult` `pow-to-exp` `sub-neg` `flip3--` `pow-pow` `diff-log` `unpow3` `div-exp` `flip--`

Counts

4 → 122

Calls

4 calls:

13.0ms	(+ 1.0 (exp (* -2.0 x)))
14.0ms	(+ 1.0 (exp (* -2.0 x)))
36.0ms	(pow (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 3)
346.0ms	(- (pow (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 3) (pow 1.0 3))

series403.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(+ 1.0 (exp (* -2.0 x)))
29.0ms	(+ 1.0 (exp (* -2.0 x)))
97.0ms	(pow (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 3)
247.0ms	(- (pow (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 3) (pow 1.0 3))

simplify2.2s

Counts

134 → 134

Iterations

Useful iterations: 2 (753.0ms)

Iter	Nodes	Cost
0	180	2662
1	650	2447
2	2744	2289
done	5001	2289

prune717.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes472.0ms

Accuracy

99.9% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 32.1b

bsearch2.0ms

simplify10.0ms

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	33	103
1	45	66
done	45	66

end0.0ms

sample2.4s

Algorithm

intervals

Results

830.0ms	1715×	body	1280	valid
504.0ms	1254×	body	640	valid
474.0ms	4109×	body	80	valid
181.0ms	635×	body	320	valid
40.0ms	287×	body	160	valid