Details

sample70.0ms

Algorithm

intervals

Results

23.0ms	72×	body	1280	valid
19.0ms	75×	body	10240	exit
11.0ms	55×	body	640	valid
4.0ms	26×	body	320	valid
4.0ms	91×	body	80	valid
1.0ms	12×	body	160	valid

simplify4.0ms

Counts

1 → 1

Iterations

Iter	Nodes
3	9
2	9
1	8
0	5

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 40.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.2b	(/ (exp x) (- (exp x) 1))
4.1b	(- (exp x) 1)

rewrite23.0ms

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

series44.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(/ (exp x) (- (exp x) 1))
17.0ms	(- (exp x) 1)

simplify2.3s

Counts

69 → 69

Iterations

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

prune523.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize17.0ms

Local error

Found 2 expressions with local error:

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

rewrite29.0ms

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:

23.0ms	(+ (* 1/12 x) (+ (/ 1 x) 1/2))
6.0ms	(* 1/12 x)

series31.0ms

Counts

2 → 6

Calls

2 calls:

15.0ms	(+ (* 1/12 x) (+ (/ 1 x) 1/2))
16.0ms	(* 1/12 x)

simplify11.2s

Counts

39 → 39

Iterations

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

prune286.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.2b

localize20.0ms

Local error

Found 2 expressions with local error:

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

rewrite34.0ms

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:

28.0ms	(+ (* 1/12 x) (+ (/ 1 x) 1/2))
5.0ms	(* 1/12 x)

series54.0ms

Counts

2 → 6

Calls

2 calls:

29.0ms	(+ (* 1/12 x) (+ (/ 1 x) 1/2))
25.0ms	(* 1/12 x)

simplify12.1s

Counts

39 → 39

Iterations

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

prune292.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.2b

localize17.0ms

Local error

Found 2 expressions with local error:

0.2b	(/ (exp x) (- (exp x) 1))
4.1b	(- (exp x) 1)

rewrite47.0ms

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:

27.0ms	(/ (exp x) (- (exp x) 1))
18.0ms	(- (exp x) 1)

series60.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(/ (exp x) (- (exp x) 1))
25.0ms	(- (exp x) 1)

simplify2.5s

Counts

69 → 69

Iterations

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

prune490.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.2b

regimes78.0ms

Accuracy

98.8% (0.3b remaining)

Error of 0.6b against oracle of 0.4b and baseline of 21.4b

bsearch2.0ms

simplify4.0ms

Iterations

Iter	Nodes
2	17
1	17
0	14

end0.0ms

sample3.5s

Algorithm

intervals

Results

1.4s	2544×	body	10240	exit
940.0ms	2202×	body	1280	valid
501.0ms	1690×	body	640	valid
194.0ms	841×	body	320	valid
183.0ms	2864×	body	80	valid
77.0ms	405×	body	160	valid