Details

sample114.0ms

Algorithm

intervals

Results

33.0ms	69×	body	1280	valid
29.0ms	50×	body	640	valid
28.0ms	76×	body	10240	exit
7.0ms	32×	body	320	valid
6.0ms	94×	body	80	valid
1.0ms	11×	body	160	valid

simplify5.0ms

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: 39.8b

localize8.0ms

Local error

Found 2 expressions with local error:

0.3b	(/ (exp x) (- (exp x) 1))
4.7b	(- (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:

28.0ms	(/ (exp x) (- (exp x) 1))
18.0ms	(- (exp x) 1)

series79.0ms

Counts

2 → 6

Calls

2 calls:

53.0ms	(/ (exp x) (- (exp x) 1))
26.0ms	(- (exp x) 1)

simplify2.4s

Counts

69 → 69

Iterations

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

prune425.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.2b

localize19.0ms

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:

9.0ms	(+ (/ 1 x) 1/2)
35.0ms	(+ (* 1/12 x) (+ (/ 1 x) 1/2))
7.0ms	(* 1/12 x)

series60.0ms

Counts

3 → 9

Calls

3 calls:

14.0ms	(+ (/ 1 x) 1/2)
17.0ms	(+ (* 1/12 x) (+ (/ 1 x) 1/2))
29.0ms	(* 1/12 x)

simplify1.5s

Counts

56 → 56

Iterations

Iter	Nodes
3	2790
2	645
1	205
0	76

prune416.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.2b

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)

rewrite73.0ms

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:

16.0ms	(+ (/ 1 x) 1/2)
47.0ms	(+ (* 1/12 x) (+ (/ 1 x) 1/2))
10.0ms	(* 1/12 x)

series61.0ms

Counts

3 → 9

Calls

3 calls:

14.0ms	(+ (/ 1 x) 1/2)
22.0ms	(+ (* 1/12 x) (+ (/ 1 x) 1/2))
24.0ms	(* 1/12 x)

simplify1.7s

Counts

56 → 56

Iterations

Iter	Nodes
3	2790
2	645
1	205
0	76

prune364.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.2b

localize38.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (+ (/ 1 x) 1/2))
0.3b	(cbrt (+ (/ 1 x) 1/2))
0.3b	(* 1/12 x)
0.7b	(* (cbrt (+ (/ 1 x) 1/2)) (cbrt (+ (/ 1 x) 1/2)))

rewrite133.0ms

Algorithm

rewrite-expression-head

Rules

50×	`*-un-lft-identity`
46×	`cbrt-prod`
26×	`add-sqr-sqrt`
20×	`distribute-lft-out`
16×	`cbrt-div` `add-cube-cbrt`
14×	`swap-sqr`
13×	`pow1`
11×	`associate-r` `associate-l`
10×	`div-inv`
8×	`flip3-+` `pow1/3` `add-exp-log` `flip-+`
6×	`add-cbrt-cube`
5×	`unswap-sqr`
4×	`frac-times` `insert-posit16` `add-log-exp`
3×	`pow-prod-down`
2×	`associate-l/` `prod-exp` `associate-r/` `pow-sqr` `*-commutative` `pow-prod-up` `cbrt-unprod`
1×	`pow2` `pow-plus`

Counts

4 → 112

Calls

4 calls:

11.0ms	(cbrt (+ (/ 1 x) 1/2))
10.0ms	(cbrt (+ (/ 1 x) 1/2))
11.0ms	(* 1/12 x)
97.0ms	(* (cbrt (+ (/ 1 x) 1/2)) (cbrt (+ (/ 1 x) 1/2)))

series268.0ms

Counts

4 → 12

Calls

4 calls:

80.0ms	(cbrt (+ (/ 1 x) 1/2))
66.0ms	(cbrt (+ (/ 1 x) 1/2))
32.0ms	(* 1/12 x)
89.0ms	(* (cbrt (+ (/ 1 x) 1/2)) (cbrt (+ (/ 1 x) 1/2)))

simplify826.0ms

Counts

124 → 124

Iterations

Iter	Nodes
3	2247
2	851
1	343
0	147

prune1.0s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.2b

regimes143.0ms

Accuracy

98.9% (0.2b remaining)

Error of 0.5b against oracle of 0.3b and baseline of 20.6b

bsearch1.0ms

simplify5.0ms

Iterations

Iter	Nodes
2	30
1	30
0	22

end0.0ms

sample3.5s

Algorithm

intervals

Results

1.4s	2571×	body	10240	exit
969.0ms	2246×	body	1280	valid
526.0ms	1704×	body	640	valid
222.0ms	883×	body	320	valid
151.0ms	2764×	body	80	valid
50.0ms	405×	body	160	valid