Details

sample55.0ms

Algorithm

intervals

Results

22.0ms	113×	body	1280	valid
9.0ms	77×	body	640	valid
5.0ms	394×	pre	80	true
3.0ms	146×	body	80	valid
3.0ms	34×	body	320	valid
1.0ms	24×	body	160	valid

simplify4.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.2b

localize3.0ms

Local error

Found 1 expressions with local error:

6.5b	(- (exp x) 1.0)

rewrite15.0ms

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:

15.0ms

(- (exp x) 1.0)

series27.0ms

Counts

1 → 3

Calls

1 calls:

27.0ms

(- (exp x) 1.0)

simplify2.0s

Counts

17 → 17

Iterations

Useful iterations: 3 (133.0ms)

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

prune73.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite40.0ms

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:

31.0ms	(* (pow x 2) (+ (* 1/6 x) 1/2))
8.0ms	(* 1/6 x)

series129.0ms

Counts

2 → 6

Calls

2 calls:

104.0ms	(* (pow x 2) (+ (* 1/6 x) 1/2))
24.0ms	(* 1/6 x)

simplify3.7s

Counts

55 → 55

Iterations

Useful iterations: 2 (211.0ms)

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

prune135.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

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))
6.7b	(- (exp (+ x x)) (* 1.0 1.0))

rewrite283.0ms

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:

18.0ms	(+ (exp x) 1.0)
174.0ms	(/ (- (exp (+ x x)) (* 1.0 1.0)) (+ (exp x) 1.0))
86.0ms	(- (exp (+ x x)) (* 1.0 1.0))

series118.0ms

Counts

3 → 9

Calls

3 calls:

15.0ms	(+ (exp x) 1.0)
71.0ms	(/ (- (exp (+ x x)) (* 1.0 1.0)) (+ (exp x) 1.0))
32.0ms	(- (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

prune219.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp x) 1.0)
0.0b	(/ (exp (+ x x)) (+ (exp x) 1.0))
0.0b	(/ (* 1.0 1.0) (+ (exp x) 1.0))
6.7b	(- (/ (exp (+ x x)) (+ (exp x) 1.0)) (/ (* 1.0 1.0) (+ (exp x) 1.0)))

rewrite300.0ms

Algorithm

rewrite-expression-head

Rules

34×	`*-un-lft-identity`
30×	`add-sqr-sqrt`
27×	`times-frac`
16×	`add-cube-cbrt`
11×	`add-cbrt-cube`
10×	`add-exp-log`
8×	`associate-/r*` `associate-/r/` `distribute-lft-out` `add-log-exp`
7×	`exp-sum`
6×	`difference-of-squares`
5×	`flip3-+` `flip-+` `associate-/l*`
4×	`pow1` `div-inv`
3×	`cbrt-undiv` `distribute-rgt-out--` `div-exp`
2×	`frac-2neg` `clear-num`
1×	`+-commutative` `sub-neg` `flip3--` `diff-log` `prod-exp` `sum-log` `frac-sub` `flip--` `cbrt-unprod` `distribute-lft-out--` `sub-div`

Counts

4 → 99

Calls

4 calls:

9.0ms	(+ (exp x) 1.0)
50.0ms	(/ (exp (+ x x)) (+ (exp x) 1.0))
40.0ms	(/ (* 1.0 1.0) (+ (exp x) 1.0))
198.0ms	(- (/ (exp (+ x x)) (+ (exp x) 1.0)) (/ (* 1.0 1.0) (+ (exp x) 1.0)))

series251.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(+ (exp x) 1.0)
52.0ms	(/ (exp (+ x x)) (+ (exp x) 1.0))
57.0ms	(/ (* 1.0 1.0) (+ (exp x) 1.0))
127.0ms	(- (/ (exp (+ x x)) (+ (exp x) 1.0)) (/ (* 1.0 1.0) (+ (exp x) 1.0)))

simplify2.7s

Counts

111 → 111

Iterations

Useful iterations: 3 (1.2s)

Iter	Nodes	Cost
0	173	1798
1	392	1705
2	1079	1570
3	3520	1566
done	5000	1566

prune362.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

regimes24.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample2.6s

Algorithm

intervals

Results

1.3s	3447×	body	1280	valid
389.0ms	2473×	body	640	valid
246.0ms	11979×	pre	80	true
160.0ms	1267×	body	320	valid
129.0ms	4160×	body	80	valid
36.0ms	632×	body	160	valid