Details

sample62.0ms

Algorithm

intervals

Results

25.0ms	112×	body	1280	valid
11.0ms	87×	body	640	valid
5.0ms	401×	pre	80	true
3.0ms	154×	body	80	valid
2.0ms	24×	body	320	valid
1.0ms	24×	body	160	valid

simplify7.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.2b

localize7.0ms

Local error

Found 1 expressions with local error:

6.1b	(- (exp x) 1.0)

rewrite23.0ms

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:

22.0ms

(- (exp x) 1.0)

series44.0ms

Counts

1 → 3

Calls

1 calls:

44.0ms

(- (exp x) 1.0)

simplify2.4s

Counts

17 → 17

Iterations

Useful iterations: 3 (98.0ms)

Iter	Nodes	Cost
0	39	132
1	83	127
2	177	119
3	328	117
4	668	117
5	1877	117
done	5000	117

prune88.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 2 expressions with local error:

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

rewrite87.0ms

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:

70.0ms	(* (pow x 2) (+ (* 1/6 x) 1/2))
16.0ms	(* 1/6 x)

series122.0ms

Counts

2 → 6

Calls

2 calls:

105.0ms	(* (pow x 2) (+ (* 1/6 x) 1/2))
16.0ms	(* 1/6 x)

simplify3.5s

Counts

55 → 55

Iterations

Useful iterations: 2 (278.0ms)

Iter	Nodes	Cost
0	89	542
1	247	491
2	804	442
3	3290	442
done	5000	442

prune198.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (exp x) 1.0)
0.0b	(/ (- (exp (+ x x)) (* 1.0 1.0)) (+ (exp x) 1.0))
6.1b	(- (exp (+ x x)) (* 1.0 1.0))

rewrite325.0ms

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:

10.0ms	(+ (exp x) 1.0)
233.0ms	(/ (- (exp (+ x x)) (* 1.0 1.0)) (+ (exp x) 1.0))
79.0ms	(- (exp (+ x x)) (* 1.0 1.0))

series95.0ms

Counts

3 → 9

Calls

3 calls:

10.0ms	(+ (exp x) 1.0)
62.0ms	(/ (- (exp (+ x x)) (* 1.0 1.0)) (+ (exp x) 1.0))
23.0ms	(- (exp (+ x x)) (* 1.0 1.0))

simplify2.9s

Counts

81 → 81

Iterations

Useful iterations: 3 (1.3s)

Iter	Nodes	Cost
0	131	1338
1	319	1293
2	951	1179
3	3152	1035
done	5000	1035

prune254.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 4 expressions with local error:

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)))
0.0b	(/ (/ (- (exp (* x 4)) (pow 1.0 4)) (+ (exp (+ x x)) (* 1.0 1.0))) (+ (exp x) 1.0))
6.0b	(- (exp (* x 4)) (pow 1.0 4))

rewrite478.0ms

Algorithm

rewrite-expression-head

Rules

234×	`times-frac`
199×	`add-sqr-sqrt`
195×	`*-un-lft-identity`
99×	`add-cube-cbrt`
60×	`difference-of-squares`
34×	`associate-/l*`
28×	`distribute-lft-out`
20×	`unpow-prod-down` `distribute-lft-out--` `sqr-pow`
14×	`associate-/r/`
11×	`add-exp-log` `add-cbrt-cube`
8×	`flip3-+` `flip-+` `add-log-exp`
7×	`associate-/r*` `div-inv`
4×	`pow1` `cbrt-undiv` `div-exp`
3×	`div-sub` `associate-/l/`
2×	`flip3--` `frac-2neg` `clear-num` `flip--`
1×	`+-commutative` `sub-neg` `diff-log` `sum-log`

Counts

4 → 232

Calls

4 calls:

83.0ms	(+ (exp (+ x x)) (* 1.0 1.0))
112.0ms	(/ (- (exp (* x 4)) (pow 1.0 4)) (+ (exp (+ x x)) (* 1.0 1.0)))
217.0ms	(/ (/ (- (exp (* x 4)) (pow 1.0 4)) (+ (exp (+ x x)) (* 1.0 1.0))) (+ (exp x) 1.0))
40.0ms	(- (exp (* x 4)) (pow 1.0 4))

series202.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(+ (exp (+ x x)) (* 1.0 1.0))
55.0ms	(/ (- (exp (* x 4)) (pow 1.0 4)) (+ (exp (+ x x)) (* 1.0 1.0)))
110.0ms	(/ (/ (- (exp (* x 4)) (pow 1.0 4)) (+ (exp (+ x x)) (* 1.0 1.0))) (+ (exp x) 1.0))
20.0ms	(- (exp (* x 4)) (pow 1.0 4))

simplify1.5s

Counts

244 → 244

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	356	8483
1	890	8157
2	2654	7828
done	5001	7792

prune1.0s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

regimes42.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample2.3s

Algorithm

intervals

Results

1.0s	3449×	body	1280	valid
443.0ms	2495×	body	640	valid
196.0ms	1224×	body	320	valid
162.0ms	11875×	pre	80	true
139.0ms	4072×	body	80	valid
43.0ms	635×	body	160	valid