Details

sample39.0ms

Algorithm

intervals

Results

17.0ms	113×	body	1280	valid
7.0ms	82×	body	640	valid
3.0ms	366×	pre	80	true
2.0ms	43×	body	320	valid
1.0ms	117×	body	80	valid
0.0ms	11×	body	160	valid

simplify3.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	4	4
1	6	4
2	7	4
done	7	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.5b

localize3.0ms

Local error

Found 1 expressions with local error:

3.2b	(- (exp x) 1.0)

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-sqr-sqrt` `*-un-lft-identity` `add-log-exp`
1×	`pow1` `add-exp-log` `add-cube-cbrt` `sub-neg` `flip3--` `diff-log` `add-cbrt-cube` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

1 → 14

Calls

1 calls:

4.0ms

(- (exp x) 1.0)

series19.0ms

Counts

1 → 3

Calls

1 calls:

19.0ms

(- (exp x) 1.0)

simplify1.1s

Counts

17 → 17

Iterations

Useful iterations: 3 (53.0ms)

Iter	Nodes	Cost
0	39	132
1	83	127
2	184	119
3	305	117
4	598	117
5	1502	117
done	5000	117

prune40.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (pow x 2) (+ (* 1/6 x) 1/2))
0.4b	(* 1/6 x)

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 49

Calls

2 calls:

13.0ms	(* (pow x 2) (+ (* 1/6 x) 1/2))
6.0ms	(* 1/6 x)

series83.0ms

Counts

2 → 6

Calls

2 calls:

69.0ms	(* (pow x 2) (+ (* 1/6 x) 1/2))
13.0ms	(* 1/6 x)

simplify2.2s

Counts

55 → 55

Iterations

Useful iterations: 2 (187.0ms)

Iter	Nodes	Cost
0	89	542
1	250	491
2	883	442
3	3166	442
done	5001	442

prune107.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- (exp (+ x x)) (* 1.0 1.0)) (+ (exp x) 1.0))
0.0b	(+ (exp x) 1.0)
3.2b	(- (exp (+ x x)) (* 1.0 1.0))

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 72

Calls

3 calls:

65.0ms	(/ (- (exp (+ x x)) (* 1.0 1.0)) (+ (exp x) 1.0))
4.0ms	(+ (exp x) 1.0)
27.0ms	(- (exp (+ x x)) (* 1.0 1.0))

series74.0ms

Counts

3 → 9

Calls

3 calls:

45.0ms	(/ (- (exp (+ x x)) (* 1.0 1.0)) (+ (exp x) 1.0))
8.0ms	(+ (exp x) 1.0)
21.0ms	(- (exp (+ x x)) (* 1.0 1.0))

simplify2.1s

Counts

81 → 81

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	131	1338
1	320	1293
2	908	1179
3	3133	1035
done	5000	1034

prune144.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp x) 1.0)
0.0b	(+ (exp (+ x x)) (* 1.0 1.0))
0.0b	(/ (- (exp (* x 4)) (pow 1.0 4)) (+ (exp (+ x x)) (* 1.0 1.0)))
3.0b	(- (exp (* x 4)) (pow 1.0 4))

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-sqr-sqrt`
28×	`*-un-lft-identity`
21×	`times-frac`
16×	`add-cube-cbrt`
15×	`difference-of-squares`
10×	`add-log-exp`
7×	`associate-/l*`
6×	`add-exp-log` `add-cbrt-cube`
5×	`unpow-prod-down` `distribute-lft-out--` `sqr-pow`
4×	`pow1`
3×	`flip3-+` `associate-/r*` `flip-+`
2×	`+-commutative` `flip3--` `sum-log` `associate-/r/` `flip--` `associate-/l/`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `diff-log` `div-sub` `div-exp` `clear-num` `div-inv` `distribute-lft-out`

Counts

4 → 87

Calls

4 calls:

4.0ms	(+ (exp x) 1.0)
24.0ms	(+ (exp (+ x x)) (* 1.0 1.0))
45.0ms	(/ (- (exp (* x 4)) (pow 1.0 4)) (+ (exp (+ x x)) (* 1.0 1.0)))
6.0ms	(- (exp (* x 4)) (pow 1.0 4))

series83.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(+ (exp x) 1.0)
15.0ms	(+ (exp (+ x x)) (* 1.0 1.0))
42.0ms	(/ (- (exp (* x 4)) (pow 1.0 4)) (+ (exp (+ x x)) (* 1.0 1.0)))
18.0ms	(- (exp (* x 4)) (pow 1.0 4))

simplify2.0s

Counts

99 → 99

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	178	2017
1	436	1949
2	1108	1807
3	4350	1786
done	5001	1785

prune247.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

regimes21.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	11
1	13	11
done	13	11

end0.0ms

sample1.1s

Algorithm

intervals

Results

495.0ms	3437×	body	1280	valid
217.0ms	2504×	body	640	valid
109.0ms	11940×	pre	80	true
67.0ms	1233×	body	320	valid
52.0ms	4129×	body	80	valid
24.0ms	637×	body	160	valid