Details

sample43.0ms

Algorithm

intervals

Results

20.0ms	111×	body	1280	valid
7.0ms	77×	body	640	valid
4.0ms	385×	pre	80	true
2.0ms	44×	body	320	valid
2.0ms	135×	body	80	valid
1.0ms	18×	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: 58.6b

localize3.0ms

Local error

Found 1 expressions with local error:

4.6b	(- (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)

series14.0ms

Counts

1 → 3

Calls

1 calls:

14.0ms

(- (exp x) 1.0)

simplify770.0ms

Counts

17 → 17

Iterations

Useful iterations: 3 (63.0ms)

Iter	Nodes	Cost
0	39	132
1	83	127
2	187	119
3	460	117
4	1188	117
done	5000	117

prune38.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

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)

rewrite18.0ms

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))
3.0ms	(* 1/6 x)

series76.0ms

Counts

2 → 6

Calls

2 calls:

63.0ms	(* (pow x 2) (+ (* 1/6 x) 1/2))
13.0ms	(* 1/6 x)

simplify661.0ms

Counts

55 → 55

Iterations

Useful iterations: 2 (98.0ms)

Iter	Nodes	Cost
0	89	542
1	254	491
2	1153	442
done	5000	442

prune96.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (exp x))
0.0b	(sqrt (exp x))
0.0b	(* (+ (sqrt (exp x)) (sqrt 1.0)) (- (sqrt (exp x)) (sqrt 1.0)))
4.7b	(- (sqrt (exp x)) (sqrt 1.0))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-sqr-sqrt`
22×	`*-un-lft-identity`
20×	`sqrt-prod`
10×	`add-cube-cbrt`
9×	`associate-r`
8×	`pow1` `sqrt-pow1` `difference-of-squares`
6×	`add-exp-log` `exp-prod` `add-cbrt-cube` `add-log-exp`
5×	`associate-l`
4×	`frac-times` `flip3--` `flip--` `distribute-lft-out--`
3×	`sub-neg` `flip3-+` `flip-+`
2×	`distribute-rgt-in` `rem-sqrt-square` `distribute-lft-in` `pow1/2` `associate-r/` `associate-l/` `distribute-lft-out`
1×	`diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 88

Calls

4 calls:

1.0ms	(sqrt (exp x))
1.0ms	(sqrt (exp x))
48.0ms	(* (+ (sqrt (exp x)) (sqrt 1.0)) (- (sqrt (exp x)) (sqrt 1.0)))
8.0ms	(- (sqrt (exp x)) (sqrt 1.0))

series148.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(sqrt (exp x))
11.0ms	(sqrt (exp x))
90.0ms	(* (+ (sqrt (exp x)) (sqrt 1.0)) (- (sqrt (exp x)) (sqrt 1.0)))
35.0ms	(- (sqrt (exp x)) (sqrt 1.0))

simplify416.0ms

Counts

100 → 100

Iterations

Useful iterations: done (413.0ms)

Iter	Nodes	Cost
0	104	1252
1	252	938
2	972	880
done	5000	873

prune172.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (exp x) 1.0)
0.2b	(/ (- (exp (+ x x)) (* 1.0 1.0)) (+ (exp x) 1.0))
4.8b	(- (exp (+ x x)) (* 1.0 1.0))

rewrite95.0ms

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:

4.0ms	(+ (exp x) 1.0)
63.0ms	(/ (- (exp (+ x x)) (* 1.0 1.0)) (+ (exp x) 1.0))
26.0ms	(- (exp (+ x x)) (* 1.0 1.0))

series69.0ms

Counts

3 → 9

Calls

3 calls:

8.0ms	(+ (exp x) 1.0)
42.0ms	(/ (- (exp (+ x x)) (* 1.0 1.0)) (+ (exp x) 1.0))
19.0ms	(- (exp (+ x x)) (* 1.0 1.0))

simplify440.0ms

Counts

81 → 81

Iterations

Useful iterations: done (437.0ms)

Iter	Nodes	Cost
0	131	1338
1	321	1293
2	1045	1179
done	5000	1035

prune134.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes29.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b 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

sample1.2s

Algorithm

intervals

Results

526.0ms	3464×	body	1280	valid
226.0ms	2483×	body	640	valid
103.0ms	11929×	pre	80	true
72.0ms	1245×	body	320	valid
52.0ms	4145×	body	80	valid
21.0ms	592×	body	160	valid