Details

sample108.0ms

Algorithm

intervals

Results

51.0ms	120×	body	1280	valid
20.0ms	74×	body	640	valid
11.0ms	286×	body	80	valid
7.0ms	37×	body	320	valid
2.0ms	19×	body	160	valid

simplify19.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	34
4	34
3	30
2	24
1	14
0	7

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.6b

localize13.0ms

Local error

Found 1 expressions with local error:

6.1b	(- (exp x) (exp (- x)))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-sqr-sqrt` `*-un-lft-identity` `add-log-exp`
1×	`pow1` `sub-neg` `flip3--` `add-cbrt-cube` `diff-log` `add-exp-log` `add-cube-cbrt` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

1 → 14

Calls

1 calls:

37.0ms

(- (exp x) (exp (- x)))

series52.0ms

Counts

1 → 3

Calls

1 calls:

52.0ms

(- (exp x) (exp (- x)))

simplify867.0ms

Counts

17 → 17

Iterations

Iter	Nodes
done	5000
3	1367
2	333
1	109
0	46

prune78.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b	(* x (+ 2 (* (* x 1/3) x)))
0.0b	(* (pow x 5) 1/60)
0.1b	(* (* x 1/3) x)
0.3b	(* x 1/3)

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
18×	`add-exp-log`
15×	`add-cbrt-cube`
14×	`associate-l`
13×	`pow1`
12×	`-un-lft-identity` `associate-r*` `add-cube-cbrt`
8×	`prod-exp`
6×	`cbrt-unprod`
5×	`pow-prod-down` `unswap-sqr`
4×	`unpow-prod-down` `*-commutative` `add-log-exp`
2×	`associate-*r/` `sqr-pow`
1×	`distribute-rgt-in` `pow-to-exp` `distribute-lft-in` `flip3-+` `pow-exp` `flip-+`

Counts

4 → 83

Calls

4 calls:

15.0ms	(* x (+ 2 (* (* x 1/3) x)))
9.0ms	(* (pow x 5) 1/60)
13.0ms	(* (* x 1/3) x)
6.0ms	(* x 1/3)

series251.0ms

Counts

4 → 12

Calls

4 calls:

120.0ms	(* x (+ 2 (* (* x 1/3) x)))
70.0ms	(* (pow x 5) 1/60)
39.0ms	(* (* x 1/3) x)
22.0ms	(* x 1/3)

simplify1.4s

Counts

95 → 95

Iterations

Iter	Nodes
done	5001
2	2141
1	360
0	129

prune448.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize74.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* x (* x x)) (* x (* x x)))
0.3b	(* x 1/3)
0.3b	(* x 1/3)
0.3b	(* x 1/3)

rewrite93.0ms

Algorithm

rewrite-expression-head

Rules

270×	`pow1`
116×	`pow-prod-up`
76×	`pow-prod-down`
46×	`add-cbrt-cube` `add-exp-log`
30×	`prod-exp` `pow-sqr` `cbrt-unprod`
21×	`pow-plus`
16×	`add-sqr-sqrt`
15×	`pow2`
14×	`cube-unmult`
10×	`-un-lft-identity` `associate-r` `associate-l*` `add-cube-cbrt`
4×	`*-commutative` `add-log-exp`
3×	`unswap-sqr`
1×	`swap-sqr`

Counts

4 → 153

Calls

4 calls:

69.0ms	(* (* x (* x x)) (* x (* x x)))
5.0ms	(* x 1/3)
5.0ms	(* x 1/3)
5.0ms	(* x 1/3)

series96.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(* (* x (* x x)) (* x (* x x)))
17.0ms	(* x 1/3)
16.0ms	(* x 1/3)
15.0ms	(* x 1/3)

simplify1.5s

Counts

165 → 165

Iterations

Iter	Nodes
done	5001
2	1607
1	333
0	100

prune468.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (exp (+ x x)))
0.0b	(/ 1 (exp (* 3 x)))
0.0b	(/ (- (exp (* 3 x)) (/ 1 (exp (* 3 x)))) (+ (/ 1 (exp (+ x x))) (+ 1 (exp (+ x x)))))
6.0b	(- (exp (* 3 x)) (/ 1 (exp (* 3 x))))

rewrite278.0ms

Algorithm

rewrite-expression-head

Rules

153×	`*-un-lft-identity`
106×	`add-sqr-sqrt`
95×	`times-frac`
57×	`distribute-lft-out`
43×	`add-cube-cbrt`
30×	`div-inv`
27×	`difference-of-squares`
18×	`distribute-lft-out--`
16×	`pow-flip`
14×	`associate-/r` `associate-/l`
13×	`exp-prod`
10×	`add-cbrt-cube`
8×	`add-exp-log`
7×	`add-log-exp`
6×	`pow1`
5×	`div-exp`
4×	`exp-sum` `associate-/r/`
3×	`cbrt-undiv` `clear-num` `frac-2neg` `distribute-rgt-out`
2×	`rec-exp` `flip3-+` `flip3--` `1-exp` `frac-add` `flip-+` `flip--` `inv-pow` `associate-/l/`
1×	`sub-neg` `distribute-lft1-in` `exp-to-pow` `count-2` `diff-log` `div-sub` `distribute-rgt1-in`

Counts

4 → 187

Calls

4 calls:

28.0ms	(/ 1 (exp (+ x x)))
7.0ms	(/ 1 (exp (* 3 x)))
210.0ms	(/ (- (exp (* 3 x)) (/ 1 (exp (* 3 x)))) (+ (/ 1 (exp (+ x x))) (+ 1 (exp (+ x x)))))
27.0ms	(- (exp (* 3 x)) (/ 1 (exp (* 3 x))))

series239.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(/ 1 (exp (+ x x)))
12.0ms	(/ 1 (exp (* 3 x)))
164.0ms	(/ (- (exp (* 3 x)) (/ 1 (exp (* 3 x)))) (+ (/ 1 (exp (+ x x))) (+ 1 (exp (+ x x)))))
49.0ms	(- (exp (* 3 x)) (/ 1 (exp (* 3 x))))

simplify2.0s

Counts

199 → 199

Iterations

Iter	Nodes
done	5001
2	3023
1	620
0	251

prune912.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes47.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 0.6b

bsearch0.0ms

simplify15.0ms

Iterations

Iter	Nodes
done	41
3	41
2	39
1	37
0	26

end0.0ms

sample4.1s

Algorithm

intervals

Results

2.1s	3315×	body	1280	valid
847.0ms	2534×	body	640	valid
573.0ms	8111×	body	80	valid
228.0ms	1268×	body	320	valid
72.0ms	615×	body	160	valid