Details

sample42.0ms

Algorithm

intervals

Results

16.0ms	108×	body	1280	valid
10.0ms	80×	body	640	valid
4.0ms	371×	pre	80	true
3.0ms	46×	body	320	valid
1.0ms	118×	body	80	valid
1.0ms	19×	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: 59.6b

localize3.0ms

Local error

Found 1 expressions with local error:

5.6b	(- (exp x) 1.0)

rewrite4.0ms

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)

series15.0ms

Counts

1 → 3

Calls

1 calls:

15.0ms

(- (exp x) 1.0)

simplify1.1s

Counts

17 → 17

Iterations

Useful iterations: 3 (60.0ms)

Iter	Nodes	Cost
0	39	132
1	83	127
2	184	119
3	311	117
4	606	117
5	1517	117
done	5001	117

prune34.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite14.0ms

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:

10.0ms	(* (pow x 2) (+ 1/2 (* 1/6 x)))
3.0ms	(* 1/6 x)

series80.0ms

Counts

2 → 6

Calls

2 calls:

66.0ms	(* (pow x 2) (+ 1/2 (* 1/6 x)))
14.0ms	(* 1/6 x)

simplify2.8s

Counts

55 → 55

Iterations

Useful iterations: 2 (193.0ms)

Iter	Nodes	Cost
0	89	542
1	250	491
2	891	442
3	3310	442
done	5000	442

prune99.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize9.0ms

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))
5.6b	(- (exp (+ x x)) (* 1.0 1.0))

rewrite90.0ms

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:

3.0ms	(+ (exp x) 1.0)
59.0ms	(/ (- (exp (+ x x)) (* 1.0 1.0)) (+ (exp x) 1.0))
25.0ms	(- (exp (+ x x)) (* 1.0 1.0))

series72.0ms

Counts

3 → 9

Calls

3 calls:

8.0ms	(+ (exp x) 1.0)
44.0ms	(/ (- (exp (+ x x)) (* 1.0 1.0)) (+ (exp x) 1.0))
20.0ms	(- (exp (+ x x)) (* 1.0 1.0))

simplify2.2s

Counts

81 → 81

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	131	1338
1	322	1293
2	910	1179
3	3177	1035
done	5000	1034

prune142.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes10.0ms

Accuracy

0% (0.4b 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

490.0ms	3488×	body	1280	valid
213.0ms	2525×	body	640	valid
100.0ms	11892×	pre	80	true
61.0ms	1190×	body	320	valid
46.0ms	4074×	body	80	valid
19.0ms	615×	body	160	valid