Details

sample93.0ms

Algorithm

intervals

Results

30.0ms	72×	body	1280	valid
27.0ms	82×	body	10240	exit
13.0ms	48×	body	640	valid
6.0ms	98×	body	80	valid
4.0ms	20×	body	320	valid
2.0ms	18×	body	160	valid

simplify8.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	11
2	11
1	10
0	5

prune28.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 38.0b

localize19.0ms

Local error

Found 2 expressions with local error:

0.2b	(/ (exp x) (- (exp x) 1))
4.6b	(- (exp x) 1)

rewrite45.0ms

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

series55.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(/ (exp x) (- (exp x) 1))
23.0ms	(- (exp x) 1)

simplify1.2s

Counts

69 → 69

Iterations

Iter	Nodes
done	2018
4	2018
3	1632
2	502
1	203
0	101

prune479.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize15.0ms

Local error

Found 2 expressions with local error:

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

rewrite44.0ms

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:

37.0ms	(+ (* 1/12 x) (+ (/ 1 x) 1/2))
5.0ms	(* 1/12 x)

series51.0ms

Counts

2 → 6

Calls

2 calls:

23.0ms	(+ (* 1/12 x) (+ (/ 1 x) 1/2))
29.0ms	(* 1/12 x)

simplify1.4s

Counts

39 → 39

Iterations

Iter	Nodes
done	2005
4	2005
3	1777
2	480
1	156
0	60

prune224.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.2b

localize19.0ms

Local error

Found 2 expressions with local error:

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

rewrite35.0ms

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:

24.0ms	(+ (* 1/12 x) (+ (/ 1 x) 1/2))
10.0ms	(* 1/12 x)

series50.0ms

Counts

2 → 6

Calls

2 calls:

21.0ms	(+ (* 1/12 x) (+ (/ 1 x) 1/2))
29.0ms	(* 1/12 x)

simplify1.4s

Counts

39 → 39

Iterations

Iter	Nodes
done	2005
4	2005
3	1777
2	480
1	156
0	60

prune257.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.2b

localize13.0ms

Local error

Found 3 expressions with local error:

0.3b	(/ (exp x) (log (exp (- (exp x) 1))))
4.6b	(log (exp (- (exp x) 1)))
4.6b	(- (exp x) 1)

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-sqr-sqrt`
43×	`*-un-lft-identity`
40×	`log-pow`
35×	`exp-prod`
33×	`times-frac`
25×	`add-cube-cbrt`
12×	`difference-of-squares`
11×	`associate-/r*`
8×	`pow1`
6×	`difference-of-sqr-1` `distribute-lft-out--`
5×	`log-prod` `add-cbrt-cube` `add-log-exp`
4×	`add-exp-log`
3×	`insert-posit16` `associate-/l*`
2×	`sub-neg` `exp-sum`
1×	`cbrt-undiv` `log-div` `clear-num` `frac-2neg` `flip3--` `exp-diff` `diff-log` `div-exp` `rem-log-exp` `div-inv` `flip--`

Counts

3 → 100

Calls

3 calls:

37.0ms	(/ (exp x) (log (exp (- (exp x) 1))))
37.0ms	(log (exp (- (exp x) 1)))
9.0ms	(- (exp x) 1)

series70.0ms

Counts

3 → 9

Calls

3 calls:

29.0ms	(/ (exp x) (log (exp (- (exp x) 1))))
23.0ms	(log (exp (- (exp x) 1)))
17.0ms	(- (exp x) 1)

simplify1.5s

Counts

109 → 109

Iterations

Iter	Nodes
done	2007
4	2007
3	1886
2	592
1	263
0	148

prune830.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.2b

regimes62.0ms

Accuracy

99.5% (0.1b remaining)

Error of 0.6b against oracle of 0.5b and baseline of 21.9b

bsearch1.0ms

simplify7.0ms

Iterations

Iter	Nodes
done	25
1	25
0	19

end0.0ms

sample3.5s

Algorithm

intervals

Results

1.4s	2147×	body	1280	valid
1.1s	2542×	body	10240	exit
486.0ms	1686×	body	640	valid
188.0ms	2918×	body	80	valid
161.0ms	807×	body	320	valid
56.0ms	443×	body	160	valid