Details

sample41.0ms

Algorithm

intervals

Results

12.0ms	66×	body	1280	valid
9.0ms	94×	body	10240	exit
7.0ms	65×	body	640	valid
2.0ms	89×	body	80	valid
1.0ms	22×	body	320	valid
1.0ms	14×	body	160	valid

simplify4.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	4
1	8	4
2	8	4
done	8	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 42.1b

localize4.0ms

Local error

Found 2 expressions with local error:

0.7b	(/ (exp x) (- (exp x) 1.0))
4.1b	(- (exp x) 1.0)

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt` `*-un-lft-identity`
15×	`times-frac`
12×	`add-cube-cbrt`
5×	`associate-/r*` `distribute-lft-out--` `difference-of-squares`
4×	`add-cbrt-cube` `add-log-exp`
3×	`add-exp-log` `associate-/l*`
2×	`pow1` `flip3--` `associate-/r/` `flip--`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `diff-log` `div-exp` `clear-num` `div-inv`

Counts

2 → 51

Calls

2 calls:

16.0ms	(/ (exp x) (- (exp x) 1.0))
10.0ms	(- (exp x) 1.0)

series45.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(/ (exp x) (- (exp x) 1.0))
18.0ms	(- (exp x) 1.0)

simplify66.0ms

Counts

57 → 57

Iterations

Useful iterations: 2 (14.0ms)

Iter	Nodes	Cost
0	180	378
1	542	357
2	2210	354
3	5001	354
done	5001	354

prune123.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
11×	`add-exp-log` `associate-l`
9×	`add-cube-cbrt` `*-un-lft-identity`
8×	`add-cbrt-cube` `add-log-exp`
6×	`pow1` `associate-r`
5×	`unswap-sqr`
4×	`unpow-prod-down` `prod-exp`
3×	`flip3-+` `flip-+`
2×	`+-commutative` `distribute-rgt-in` `associate-+l+` `distribute-lft-in` `associate-r/` `sum-log` `-commutative` `cbrt-unprod` `unpow2` `sqr-pow`
1×	`pow-to-exp` `pow-prod-down` `pow-exp`

Counts

4 → 73

Calls

4 calls:

7.0ms	(+ (* x 1/6) 1/2)
14.0ms	(+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)
32.0ms	(* (pow x 2) (+ (* x 1/6) 1/2))
7.0ms	(* x 1/6)

series146.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(+ (* x 1/6) 1/2)
33.0ms	(+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)
64.0ms	(* (pow x 2) (+ (* x 1/6) 1/2))
18.0ms	(* x 1/6)

simplify54.0ms

Counts

85 → 85

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	331	410
1	1671	376
2	5001	375
done	5001	375

prune181.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 3 expressions with local error:

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

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 43

Calls

3 calls:

31.0ms	(+ 1/2 (+ (* 1/12 x) (/ 1 x)))
11.0ms	(+ (* 1/12 x) (/ 1 x))
7.0ms	(* 1/12 x)

series70.0ms

Counts

3 → 9

Calls

3 calls:

15.0ms	(+ 1/2 (+ (* 1/12 x) (/ 1 x)))
40.0ms	(+ (* 1/12 x) (/ 1 x))
15.0ms	(* 1/12 x)

simplify106.0ms

Counts

52 → 52

Iterations

Useful iterations: 2 (25.0ms)

Iter	Nodes	Cost
0	200	216
1	705	205
2	3820	204
3	5002	204
done	5002	204

prune83.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (- (/ 1 x)) x)
0.3b	(* 1/12 x)
0.4b	(* 1/144 (* x x))
28.0b	(/ (+ (/ (- (/ 1 x)) x) (* 1/144 (* x x))) (- (* 1/12 x) (/ 1 x)))

rewrite239.0ms

Algorithm

rewrite-expression-head

Rules

171×	`times-frac`
109×	`add-sqr-sqrt`
106×	`add-cube-cbrt` `*-un-lft-identity`
52×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
33×	`associate-/l*`
15×	`add-exp-log` `add-cbrt-cube`
11×	`pow1`
10×	`div-inv`
6×	`associate-l` `associate-/r*`
4×	`neg-mul-1` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`div-sub` `associate-/l/`
2×	`cbrt-undiv` `neg-sub0` `frac-2neg` `div-exp` `clear-num` `associate-/r/` `*-commutative` `unswap-sqr`
1×	`associate-+l-` `flip3--` `flip3-+` `distribute-frac-neg` `flip--` `flip-+` `distribute-neg-frac`

Counts

4 → 207

Calls

4 calls:

16.0ms	(/ (- (/ 1 x)) x)
6.0ms	(* 1/12 x)
16.0ms	(* 1/144 (* x x))
191.0ms	(/ (+ (/ (- (/ 1 x)) x) (* 1/144 (* x x))) (- (* 1/12 x) (/ 1 x)))

series204.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(/ (- (/ 1 x)) x)
19.0ms	(* 1/12 x)
24.0ms	(* 1/144 (* x x))
136.0ms	(/ (+ (/ (- (/ 1 x)) x) (* 1/144 (* x x))) (- (* 1/12 x) (/ 1 x)))

simplify68.0ms

Counts

219 → 219

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	793	1693
1	2900	1445
2	5001	1417
done	5001	1417

prune367.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes62.0ms

Accuracy

59.1% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 1.0b

bsearch1.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	12
1	25	12
done	25	12

end0.0ms

sample1.1s

Algorithm

intervals

Results

368.0ms	2242×	body	1280	valid
266.0ms	2547×	body	10240	exit
173.0ms	1622×	body	640	valid
59.0ms	807×	body	320	valid
54.0ms	2952×	body	80	valid
16.0ms	378×	body	160	valid