Details

sample55.0ms

Algorithm

intervals

Results

29.0ms	74×	body	1280	valid
7.0ms	49×	body	640	valid
5.0ms	191×	body	80	valid
3.0ms	29×	body	320	valid
0.0ms	7×	body	160	valid

simplify9.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	6
1	10	6
2	13	6
3	15	6
done	15	6

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 38.5b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- (exp x) 1.0) x)
2.1b	(- (exp x) 1.0)

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 52

Calls

2 calls:

45.0ms	(/ (- (exp x) 1.0) x)
11.0ms	(- (exp x) 1.0)

series102.0ms

Counts

2 → 6

Calls

2 calls:

69.0ms	(/ (- (exp x) 1.0) x)
34.0ms	(- (exp x) 1.0)

simplify2.4s

Counts

58 → 58

Iterations

Useful iterations: 4 (1.5s)

Iter	Nodes	Cost
0	99	596
1	221	572
2	503	542
3	1095	537
4	2836	536
done	5001	536

prune166.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ 1/2 (* 1/6 x))
0.1b	(* x (+ 1/2 (* 1/6 x)))
0.3b	(* 1/6 x)

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 51

Calls

3 calls:

11.0ms	(+ 1/2 (* 1/6 x))
34.0ms	(* x (+ 1/2 (* 1/6 x)))
10.0ms	(* 1/6 x)

series178.0ms

Counts

3 → 9

Calls

3 calls:

61.0ms	(+ 1/2 (* 1/6 x))
90.0ms	(* x (+ 1/2 (* 1/6 x)))
27.0ms	(* 1/6 x)

simplify2.2s

Counts

60 → 60

Iterations

Useful iterations: 2 (228.0ms)

Iter	Nodes	Cost
0	78	480
1	204	439
2	572	397
3	1768	397
done	5000	397

prune140.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp x) 1.0)
0.0b	(/ (/ (- (exp (+ x x)) (* 1.0 1.0)) (+ (exp x) 1.0)) x)
0.0b	(/ (- (exp (+ x x)) (* 1.0 1.0)) (+ (exp x) 1.0))
2.3b	(- (exp (+ x x)) (* 1.0 1.0))

rewrite435.0ms

Algorithm

rewrite-expression-head

Rules

178×	`times-frac`
136×	`*-un-lft-identity`
104×	`add-sqr-sqrt`
82×	`add-cube-cbrt`
44×	`difference-of-squares`
31×	`associate-/l*`
27×	`distribute-lft-out`
22×	`exp-sum`
11×	`add-exp-log` `add-cbrt-cube`
10×	`associate-/r/`
8×	`add-log-exp`
7×	`associate-/r*`
6×	`flip3-+` `flip-+` `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 → 195

Calls

4 calls:

9.0ms	(+ (exp x) 1.0)
166.0ms	(/ (/ (- (exp (+ x x)) (* 1.0 1.0)) (+ (exp x) 1.0)) x)
192.0ms	(/ (- (exp (+ x x)) (* 1.0 1.0)) (+ (exp x) 1.0))
58.0ms	(- (exp (+ x x)) (* 1.0 1.0))

series161.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(+ (exp x) 1.0)
82.0ms	(/ (/ (- (exp (+ x x)) (* 1.0 1.0)) (+ (exp x) 1.0)) x)
46.0ms	(/ (- (exp (+ x x)) (* 1.0 1.0)) (+ (exp x) 1.0))
21.0ms	(- (exp (+ x x)) (* 1.0 1.0))

simplify1.7s

Counts

207 → 207

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	301	4684
1	731	4503
2	2335	4245
done	5002	3821

prune507.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp x) 1.0)
0.0b	(/ (/ (- (pow (exp x) 3) (pow 1.0 3)) (+ (* 1.0 (+ (exp x) 1.0)) (exp (+ x x)))) x)
0.0b	(pow (exp x) 3)
2.0b	(- (pow (exp x) 3) (pow 1.0 3))

rewrite344.0ms

Algorithm

rewrite-expression-head

Rules

543×	`times-frac`
518×	`add-sqr-sqrt`
338×	`*-un-lft-identity`
208×	`difference-of-squares`
206×	`add-cube-cbrt`
159×	`unpow-prod-down` `cube-prod`
105×	`sqr-pow`
81×	`associate-/l*`
65×	`distribute-lft-out--`
13×	`difference-cubes`
10×	`add-cbrt-cube`
9×	`add-exp-log`
8×	`associate-/r/` `add-log-exp`
5×	`pow1` `flip3-+` `flip-+` `div-inv`
4×	`pow-pow`
3×	`cbrt-undiv` `pow-unpow` `exp-prod` `div-exp` `associate-/r*`
2×	`div-sub`
1×	`+-commutative` `cube-mult` `pow-to-exp` `sub-neg` `flip3--` `frac-2neg` `diff-log` `unpow3` `pow-exp` `clear-num` `sum-log` `flip--` `associate-/l/` `distribute-lft-out` `rem-cube-cbrt`

Counts

4 → 415

Calls

4 calls:

9.0ms	(+ (exp x) 1.0)
231.0ms	(/ (/ (- (pow (exp x) 3) (pow 1.0 3)) (+ (* 1.0 (+ (exp x) 1.0)) (exp (+ x x)))) x)
8.0ms	(pow (exp x) 3)
52.0ms	(- (pow (exp x) 3) (pow 1.0 3))

series264.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(+ (exp x) 1.0)
169.0ms	(/ (/ (- (pow (exp x) 3) (pow 1.0 3)) (+ (* 1.0 (+ (exp x) 1.0)) (exp (+ x x)))) x)
36.0ms	(pow (exp x) 3)
47.0ms	(- (pow (exp x) 3) (pow 1.0 3))

simplify2.5s

Counts

427 → 427

Iterations

Useful iterations: 2 (1.2s)

Iter	Nodes	Cost
0	582	15848
1	1377	14958
2	4390	14780
done	5000	14780

prune1.5s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes29.0ms

Accuracy

99.1% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 21.6b

bsearch58.0ms

Steps

Iters	Range		Point
9	-0.12398824387462552	-4.403108084983288e-07	-0.00010118150260600152

simplify6.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	28
1	27	28
done	27	28

end0.0ms

sample1.5s

Algorithm

intervals

Results

602.0ms	2259×	body	1280	valid
295.0ms	1643×	body	640	valid
197.0ms	5491×	body	80	valid
103.0ms	395×	body	160	valid
87.0ms	828×	body	320	valid