Details

sample117.0ms

Algorithm

intervals

Results

52.0ms	120×	body	1280	valid
20.0ms	74×	body	640	valid
18.0ms	286×	body	80	valid
7.0ms	37×	body	320	valid
2.0ms	19×	body	160	valid

simplify41.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	36
6	36
5	35
4	33
3	30
2	24
1	14
0	7

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.6b

localize20.0ms

Local error

Found 1 expressions with local error:

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

rewrite16.0ms

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:

16.0ms

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

series61.0ms

Counts

1 → 3

Calls

1 calls:

61.0ms

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

simplify2.0s

Counts

17 → 17

Iterations

Iter	Nodes
done	5000
4	2049
3	736
2	260
1	109
0	46

prune76.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

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

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
18×	`add-exp-log`
16×	`associate-l`
15×	`add-cbrt-cube`
13×	`pow1`
12×	`*-un-lft-identity` `add-cube-cbrt`
10×	`associate-r`
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:

12.0ms	(* x (+ 2 (* x (* x 1/3))))
14.0ms	(* (pow x 5) 1/60)
12.0ms	(* x (* x 1/3))
5.0ms	(* x 1/3)

series208.0ms

Counts

4 → 12

Calls

4 calls:

109.0ms	(* x (+ 2 (* x (* x 1/3))))
57.0ms	(* (pow x 5) 1/60)
26.0ms	(* x (* x 1/3))
15.0ms	(* x 1/3)

simplify1.3s

Counts

95 → 95

Iterations

Iter	Nodes
done	5002
2	1200
1	346
0	127

prune361.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize97.0ms

Local error

Found 4 expressions with local error:

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

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
12×	`pow1` `-un-lft-identity` `add-cbrt-cube` `associate-r` `associate-l*` `add-exp-log` `add-cube-cbrt`
4×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `add-log-exp` `unswap-sqr`

Counts

4 → 72

Calls

4 calls:

5.0ms	(* x 1/3)
5.0ms	(* x 1/3)
8.0ms	(* x 1/3)
10.0ms	(* x 1/3)

series86.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(* x 1/3)
24.0ms	(* x 1/3)
25.0ms	(* x 1/3)
18.0ms	(* x 1/3)

simplify3.5s

Counts

84 → 84

Iterations

Iter	Nodes
done	5005
5	4153
4	983
3	305
2	127
1	64
0	31

prune455.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize52.0ms

Local error

Found 4 expressions with local error:

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

rewrite168.0ms

Algorithm

rewrite-expression-head

Rules

65×	`add-sqr-sqrt`
61×	`*-un-lft-identity`
52×	`times-frac`
51×	`add-cube-cbrt`
20×	`add-cbrt-cube`
18×	`pow1` `exp-prod`
16×	`swap-sqr` `associate-r` `associate-l`
14×	`add-exp-log`
8×	`associate-/r/`
6×	`flip3-+` `frac-add` `flip-+` `add-log-exp`
5×	`cbrt-undiv` `div-exp` `pow-prod-down` `prod-exp` `pow-sqr` `pow-prod-up` `cbrt-unprod` `div-inv` `distribute-lft-out` `unswap-sqr`
4×	`associate-/l*`
3×	`frac-times` `associate-/r` `associate-l/` `associate-*r/`
2×	`pow2` `pow-plus` `*-commutative` `associate-/l/`
1×	`+-commutative` `clear-num` `sum-log` `frac-2neg`

Counts

4 → 154

Calls

4 calls:

81.0ms	(/ (+ (exp (* 3 x)) (/ -1 (exp (* 3 x)))) (+ (* (/ -1 (exp x)) (/ -1 (exp x))) (+ 1 (* (exp x) (exp x)))))
14.0ms	(* (exp x) (exp x))
47.0ms	(* (/ -1 (exp x)) (/ -1 (exp x)))
22.0ms	(+ (exp (* 3 x)) (/ -1 (exp (* 3 x))))

series227.0ms

Counts

4 → 12

Calls

4 calls:

136.0ms	(/ (+ (exp (* 3 x)) (/ -1 (exp (* 3 x)))) (+ (* (/ -1 (exp x)) (/ -1 (exp x))) (+ 1 (* (exp x) (exp x)))))
14.0ms	(* (exp x) (exp x))
23.0ms	(* (/ -1 (exp x)) (/ -1 (exp x)))
53.0ms	(+ (exp (* 3 x)) (/ -1 (exp (* 3 x))))

simplify2.6s

Counts

166 → 166

Iterations

Iter	Nodes
done	5002
2	3529
1	871
0	273

prune693.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes69.0ms

Accuracy

0% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.6b

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	32
1	32
0	22

end0.0ms

sample3.8s

Algorithm

intervals

Results

1.5s	3315×	body	1280	valid
1.1s	2534×	body	640	valid
482.0ms	8111×	body	80	valid
352.0ms	1268×	body	320	valid
65.0ms	615×	body	160	valid