Details

sample66.0ms

Algorithm

intervals

Results

20.0ms	85×	body	10240	exit
18.0ms	64×	body	1280	valid
9.0ms	45×	body	640	valid
5.0ms	106×	body	80	valid
4.0ms	29×	body	320	valid
1.0ms	12×	body	160	valid

simplify4.0ms

Counts

1 → 1

Iterations

Iter	Nodes
3	9
2	9
1	8
0	5

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 36.2b

localize8.0ms

Local error

Found 2 expressions with local error:

0.2b	(/ (exp x) (- (exp x) 1))
3.3b	(- (exp x) 1)

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-sqr-sqrt`
29×	`*-un-lft-identity`
21×	`times-frac`
14×	`add-cube-cbrt`
10×	`difference-of-squares`
7×	`associate-/r*`
5×	`difference-of-sqr-1` `distribute-lft-out--`
4×	`add-cbrt-cube` `add-log-exp`
3×	`add-exp-log` `associate-/l*`
2×	`pow1` `flip3--` `associate-/r/` `insert-posit16` `flip--`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `diff-log` `div-exp` `div-inv`

Counts

2 → 63

Calls

2 calls:

14.0ms	(/ (exp x) (- (exp x) 1))
20.0ms	(- (exp x) 1)

series41.0ms

Counts

2 → 6

Calls

2 calls:

26.0ms	(/ (exp x) (- (exp x) 1))
15.0ms	(- (exp x) 1)

simplify2.6s

Counts

69 → 69

Iterations

Iter	Nodes
4	3966
3	1266
2	468
1	196
0	101

prune463.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.2b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (exp x) (+ (* x (* x (+ (* 1/6 x) 1/2))) x))
0.0b	(* x (* x (+ (* 1/6 x) 1/2)))
0.0b	(* x (+ (* 1/6 x) 1/2))
0.3b	(* 1/6 x)

rewrite153.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
17×	`*-un-lft-identity` `add-cube-cbrt`
15×	`add-cbrt-cube`
14×	`add-exp-log`
13×	`pow1`
9×	`times-frac` `associate-l`
7×	`associate-r`
6×	`associate-*r/`
5×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`insert-posit16` `add-log-exp`
3×	`associate-/r` `flip3-+` `-commutative` `flip-+` `associate-/l*`
2×	`associate-/r/` `unswap-sqr`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `div-inv`

Counts

4 → 97

Calls

4 calls:

80.0ms	(/ (exp x) (+ (* x (* x (+ (* 1/6 x) 1/2))) x))
33.0ms	(* x (* x (+ (* 1/6 x) 1/2)))
29.0ms	(* x (+ (* 1/6 x) 1/2))
10.0ms	(* 1/6 x)

series299.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(/ (exp x) (+ (* x (* x (+ (* 1/6 x) 1/2))) x))
116.0ms	(* x (* x (+ (* 1/6 x) 1/2)))
118.0ms	(* x (+ (* 1/6 x) 1/2))
18.0ms	(* 1/6 x)

simplify2.7s

Counts

109 → 109

Iterations

Iter	Nodes
3	5604
2	1321
1	411
0	173

prune978.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.2b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* 1/12 x) (+ (/ 1 x) 1/2))
0.3b	(* 1/12 x)

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-log-exp`
6×	`add-sqr-sqrt`
4×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
3×	`sum-log` `associate-r` `associate-l`
2×	`insert-posit16`
1×	`+-commutative` `associate-+r+` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

2 → 33

Calls

2 calls:

47.0ms	(+ (* 1/12 x) (+ (/ 1 x) 1/2))
5.0ms	(* 1/12 x)

series46.0ms

Counts

2 → 6

Calls

2 calls:

19.0ms	(+ (* 1/12 x) (+ (/ 1 x) 1/2))
27.0ms	(* 1/12 x)

simplify11.4s

Counts

39 → 39

Iterations

Iter	Nodes
4	10077
3	1691
2	442
1	151
0	60

prune263.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.2b

localize8.0ms

Local error

Found 2 expressions with local error:

0.2b	(/ (exp x) (- (exp x) 1))
3.3b	(- (exp x) 1)

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-sqr-sqrt`
29×	`*-un-lft-identity`
21×	`times-frac`
14×	`add-cube-cbrt`
10×	`difference-of-squares`
7×	`associate-/r*`
5×	`difference-of-sqr-1` `distribute-lft-out--`
4×	`add-cbrt-cube` `add-log-exp`
3×	`add-exp-log` `associate-/l*`
2×	`pow1` `flip3--` `associate-/r/` `insert-posit16` `flip--`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `diff-log` `div-exp` `div-inv`

Counts

2 → 63

Calls

2 calls:

16.0ms	(/ (exp x) (- (exp x) 1))
9.0ms	(- (exp x) 1)

series47.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(/ (exp x) (- (exp x) 1))
16.0ms	(- (exp x) 1)

simplify2.9s

Counts

69 → 69

Iterations

Iter	Nodes
4	3966
3	1266
2	468
1	196
0	101

prune588.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.2b

regimes113.0ms

Accuracy

0% (0.5b remaining)

Error of 0.9b against oracle of 0.3b and baseline of 0.9b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
2	15
1	15
0	10

end0.0ms

sample3.7s

Algorithm

intervals

Results

1.2s	2574×	body	10240	exit
967.0ms	2232×	body	1280	valid
598.0ms	2821×	body	80	valid
501.0ms	1702×	body	640	valid
168.0ms	823×	body	320	valid
108.0ms	423×	body	160	valid