Details

sample63.0ms

Algorithm

intervals

Results

18.0ms	41×	body	1280	valid
12.0ms	40×	body	640	valid
9.0ms	144×	body	80	valid
4.0ms	23×	body	320	valid
1.0ms	8×	body	160	valid

simplify3.3s

Counts

1 → 1

Iterations

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

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 26.5b

localize24.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ 1.0 (exp (* -2.0 x)))
0.0b	(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
2.8b	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

rewrite102.0ms

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-cbrt-cube` `add-exp-log` `distribute-lft-out`
4×	`associate-/r*`
3×	`pow1` `associate-/l*`
2×	`flip3-+` `associate-/r/` `flip-+` `difference-of-squares`
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 → 60

Calls

3 calls:

5.0ms	(+ 1.0 (exp (* -2.0 x)))
11.0ms	(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
84.0ms	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

series155.0ms

Counts

3 → 9

Calls

3 calls:

17.0ms	(+ 1.0 (exp (* -2.0 x)))
54.0ms	(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
84.0ms	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

simplify2.5s

Counts

69 → 69

Iterations

Iter	Nodes
done	5000
3	4667
2	926
1	261
0	116

prune353.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 1.0 (exp (* -2.0 x)))
0.0b	(+ 1.0 (exp (* -2.0 x)))
0.4b	(/ 2.0 (sqrt (+ 1.0 (exp (* -2.0 x)))))
2.8b	(- (/ (/ 2.0 (sqrt (+ 1.0 (exp (* -2.0 x))))) (sqrt (+ 1.0 (exp (* -2.0 x))))) 1.0)

rewrite383.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-sqr-sqrt`
34×	`*-un-lft-identity`
31×	`times-frac`
21×	`sqrt-prod`
20×	`add-cube-cbrt`
10×	`add-log-exp`
7×	`associate-/r*` `difference-of-squares`
6×	`add-cbrt-cube` `add-exp-log` `distribute-lft-out`
4×	`pow1`
3×	`flip3-+` `flip-+` `associate-/l*`
2×	`+-commutative` `sum-log` `sqrt-div` `associate-/r/`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `flip3--` `diff-log` `div-exp` `div-inv` `flip--` `distribute-lft-out--`

Counts

4 → 89

Calls

4 calls:

5.0ms	(+ 1.0 (exp (* -2.0 x)))
6.0ms	(+ 1.0 (exp (* -2.0 x)))
23.0ms	(/ 2.0 (sqrt (+ 1.0 (exp (* -2.0 x)))))
346.0ms	(- (/ (/ 2.0 (sqrt (+ 1.0 (exp (* -2.0 x))))) (sqrt (+ 1.0 (exp (* -2.0 x))))) 1.0)

series276.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(+ 1.0 (exp (* -2.0 x)))
29.0ms	(+ 1.0 (exp (* -2.0 x)))
94.0ms	(/ 2.0 (sqrt (+ 1.0 (exp (* -2.0 x)))))
118.0ms	(- (/ (/ 2.0 (sqrt (+ 1.0 (exp (* -2.0 x))))) (sqrt (+ 1.0 (exp (* -2.0 x))))) 1.0)

simplify945.0ms

Counts

101 → 101

Iterations

Iter	Nodes
done	5000
2	1108
1	329
0	156

prune600.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize37.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* 0.33333333333333337 x) (* 5.551115123125783e-17 (* x x)))
0.1b	(* (* x x) (+ (* 0.33333333333333337 x) (* 5.551115123125783e-17 (* x x))))
1.5b	(* 5.551115123125783e-17 (* x x))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

13×	`pow1` `add-cbrt-cube` `add-exp-log`
7×	`add-sqr-sqrt`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`*-un-lft-identity` `add-cube-cbrt` `add-log-exp`
4×	`associate-r` `associate-l`
2×	`flip3-+` `associate-r/` `-commutative` `flip-+` `unswap-sqr`
1×	`distribute-rgt-in` `+-commutative` `sum-log` `distribute-lft-in`

Counts

3 → 53

Calls

3 calls:

15.0ms	(+ (* 0.33333333333333337 x) (* 5.551115123125783e-17 (* x x)))
30.0ms	(* (* x x) (+ (* 0.33333333333333337 x) (* 5.551115123125783e-17 (* x x))))
17.0ms	(* 5.551115123125783e-17 (* x x))

series352.0ms

Counts

3 → 9

Calls

3 calls:

119.0ms	(+ (* 0.33333333333333337 x) (* 5.551115123125783e-17 (* x x)))
202.0ms	(* (* x x) (+ (* 0.33333333333333337 x) (* 5.551115123125783e-17 (* x x))))
31.0ms	(* 5.551115123125783e-17 (* x x))

simplify2.1s

Counts

62 → 62

Iterations

Iter	Nodes
done	5000
2	2408
1	309
0	87

prune239.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes239.0ms

Accuracy

99.4% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 29.8b

bsearch2.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	36
1	36
0	26

end0.0ms

sample1.8s

Algorithm

intervals

Results

919.0ms	1716×	body	1280	valid
295.0ms	1245×	body	640	valid
201.0ms	4091×	body	80	valid
134.0ms	640×	body	320	valid
62.0ms	308×	body	160	valid