Details

sample101.0ms

Algorithm

intervals

Results

41.0ms	84×	body	1280	valid
22.0ms	56×	body	10240	exit
14.0ms	41×	body	640	valid
6.0ms	95×	body	80	valid
5.0ms	23×	body	320	valid
2.0ms	13×	body	160	valid

simplify4.0ms

Counts

1 → 1

Iterations

Iter	Nodes
3	9
2	9
1	8
0	5

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 39.5b

localize12.0ms

Local error

Found 2 expressions with local error:

0.3b	(/ (exp x) (- (exp x) 1))
3.7b	(- (exp x) 1)

rewrite50.0ms

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:

35.0ms	(/ (exp x) (- (exp x) 1))
13.0ms	(- (exp x) 1)

series59.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(/ (exp x) (- (exp x) 1))
21.0ms	(- (exp x) 1)

simplify2.3s

Counts

69 → 69

Iterations

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

prune370.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.2b

localize31.0ms

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

rewrite130.0ms

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:

54.0ms	(/ (exp x) (+ (* x (* x (+ (* 1/6 x) 1/2))) x))
51.0ms	(* x (* x (+ (* 1/6 x) 1/2)))
19.0ms	(* x (+ (* 1/6 x) 1/2))
6.0ms	(* 1/6 x)

series260.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(/ (exp x) (+ (* x (* x (+ (* 1/6 x) 1/2))) x))
110.0ms	(* x (* x (+ (* 1/6 x) 1/2)))
87.0ms	(* x (+ (* 1/6 x) 1/2))
16.0ms	(* 1/6 x)

simplify2.3s

Counts

109 → 109

Iterations

Iter	Nodes
3	5604
2	1321
1	411
0	173

prune772.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.2b

localize25.0ms

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:

17.0ms	(+ (/ 1 x) 1/2)
45.0ms	(+ (* 1/12 x) (+ (/ 1 x) 1/2))
11.0ms	(* 1/12 x)

series65.0ms

Counts

3 → 9

Calls

3 calls:

23.0ms	(+ (/ 1 x) 1/2)
24.0ms	(+ (* 1/12 x) (+ (/ 1 x) 1/2))
18.0ms	(* 1/12 x)

simplify1.7s

Counts

56 → 56

Iterations

Iter	Nodes
3	2790
2	645
1	205
0	76

prune271.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.2b

localize13.0ms

Local error

Found 3 expressions with local error:

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

rewrite40.0ms

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)
26.0ms	(+ (* x 1/12) (+ (/ 1 x) 1/2))
5.0ms	(* x 1/12)

series51.0ms

Counts

3 → 9

Calls

3 calls:

14.0ms	(+ (/ 1 x) 1/2)
18.0ms	(+ (* x 1/12) (+ (/ 1 x) 1/2))
19.0ms	(* x 1/12)

simplify1.2s

Counts

56 → 56

Iterations

Iter	Nodes
3	2893
2	656
1	209
0	78

prune258.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.2b

regimes102.0ms

Accuracy

0% (0.6b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
2	15
1	15
0	10

end0.0ms

sample3.5s

Algorithm

intervals

Results

1.0s	2292×	body	1280	valid
997.0ms	2471×	body	10240	exit
490.0ms	419×	body	160	valid
457.0ms	1611×	body	640	valid
181.0ms	2861×	body	80	valid
155.0ms	819×	body	320	valid