Details

sample96.0ms

Algorithm

intervals

Results

30.0ms	76×	body	1280	valid
29.0ms	88×	body	10240	exit
14.0ms	55×	body	640	valid
6.0ms	31×	body	320	valid
5.0ms	82×	body	80	valid
1.0ms	12×	body	160	valid

simplify6.0ms

Counts

1 → 1

Iterations

Iter	Nodes
3	11
2	11
1	10
0	5

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 42.9b

localize17.0ms

Local error

Found 2 expressions with local error:

0.7b	(/ (exp x) (- (exp x) 1))
4.0b	(- (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:

18.0ms	(/ (exp x) (- (exp x) 1))
25.0ms	(- (exp x) 1)

series68.0ms

Counts

2 → 6

Calls

2 calls:

42.0ms	(/ (exp x) (- (exp x) 1))
25.0ms	(- (exp x) 1)

simplify1.8s

Counts

69 → 69

Iterations

Iter	Nodes
4	4327
3	1281
2	472
1	198
0	101

prune603.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.7b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (+ 1/2 (* 1/6 x)) (* x x)) x)
0.0b	(/ (exp x) (+ (* (+ 1/2 (* 1/6 x)) (* x x)) x))
0.1b	(* (+ 1/2 (* 1/6 x)) (* x x))
0.3b	(* 1/6 x)

rewrite126.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
13×	`add-cbrt-cube`
12×	`add-exp-log`
11×	`pow1`
9×	`times-frac`
6×	`associate-l` `add-log-exp`
4×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16`
3×	`associate-/r` `flip3-+` `flip-+` `associate-/l`
2×	`associate-l/` `associate-/r/` `-commutative` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `frac-2neg` `div-exp` `div-inv`

Counts

4 → 83

Calls

4 calls:

34.0ms	(+ (* (+ 1/2 (* 1/6 x)) (* x x)) x)
51.0ms	(/ (exp x) (+ (* (+ 1/2 (* 1/6 x)) (* x x)) x))
33.0ms	(* (+ 1/2 (* 1/6 x)) (* x x))
5.0ms	(* 1/6 x)

series181.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(+ (* (+ 1/2 (* 1/6 x)) (* x x)) x)
43.0ms	(/ (exp x) (+ (* (+ 1/2 (* 1/6 x)) (* x x)) x))
79.0ms	(* (+ 1/2 (* 1/6 x)) (* x x))
20.0ms	(* 1/6 x)

simplify2.2s

Counts

95 → 95

Iterations

Iter	Nodes
3	5067
2	1171
1	373
0	154

prune950.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.7b

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 47

Calls

3 calls:

8.0ms	(+ (/ 1 x) 1/2)
38.0ms	(+ (* 1/12 x) (+ (/ 1 x) 1/2))
5.0ms	(* 1/12 x)

series48.0ms

Counts

3 → 9

Calls

3 calls:

15.0ms	(+ (/ 1 x) 1/2)
16.0ms	(+ (* 1/12 x) (+ (/ 1 x) 1/2))
17.0ms	(* 1/12 x)

simplify1.4s

Counts

56 → 56

Iterations

Iter	Nodes
3	2763
2	646
1	208
0	76

prune383.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.7b

localize21.0ms

Local error

Found 3 expressions with local error:

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

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 47

Calls

3 calls:

13.0ms	(+ (/ 1 x) 1/2)
50.0ms	(+ (* 1/12 x) (+ (/ 1 x) 1/2))
10.0ms	(* 1/12 x)

series58.0ms

Counts

3 → 9

Calls

3 calls:

22.0ms	(+ (/ 1 x) 1/2)
19.0ms	(+ (* 1/12 x) (+ (/ 1 x) 1/2))
17.0ms	(* 1/12 x)

simplify1.4s

Counts

56 → 56

Iterations

Iter	Nodes
3	2763
2	646
1	208
0	76

prune325.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.7b

regimes127.0ms

Accuracy

0% (0.6b remaining)

Error of 1.0b against oracle of 0.4b and baseline of 1.0b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
2	14
1	14
0	10

end0.0ms

sample3.8s

Algorithm

intervals

Results

1.4s	2532×	body	10240	exit
1.2s	2286×	body	1280	valid
530.0ms	1578×	body	640	valid
233.0ms	2937×	body	80	valid
164.0ms	815×	body	320	valid
115.0ms	386×	body	160	valid