Details

sample118.0ms

Algorithm

intervals

Results

49.0ms	114×	body	1280	valid
25.0ms	279×	body	80	valid
18.0ms	73×	body	640	valid
6.0ms	40×	body	320	valid
2.0ms	19×	body	160	valid

simplify33.0ms

Counts

1 → 1

Iterations

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

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 57.4b

localize14.0ms

Local error

Found 1 expressions with local error:

5.7b	(- (exp x) (exp (- x)))

rewrite17.0ms

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)))

series60.0ms

Counts

1 → 3

Calls

1 calls:

60.0ms

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

simplify1.9s

Counts

17 → 17

Iterations

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

prune115.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize35.0ms

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)

rewrite54.0ms

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:

21.0ms	(* x (+ 2 (* x (* x 1/3))))
10.0ms	(* (pow x 5) 1/60)
14.0ms	(* x (* x 1/3))
6.0ms	(* x 1/3)

series239.0ms

Counts

4 → 12

Calls

4 calls:

105.0ms	(* x (+ 2 (* x (* x 1/3))))
74.0ms	(* (pow x 5) 1/60)
38.0ms	(* x (* x 1/3))
22.0ms	(* x 1/3)

simplify1.2s

Counts

95 → 95

Iterations

Iter	Nodes
done	5002
2	1200
1	346
0	127

prune410.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

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

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-exp-log`
22×	`add-cbrt-cube`
20×	`pow1`
18×	`add-sqr-sqrt`
16×	`associate-l`
13×	`prod-exp`
11×	`*-un-lft-identity` `add-cube-cbrt` `cbrt-unprod`
10×	`pow-prod-down`
8×	`associate-r`
4×	`unpow-prod-down` `*-commutative` `add-log-exp` `unswap-sqr`
2×	`sqr-pow`
1×	`pow-to-exp` `pow-exp`

Counts

4 → 82

Calls

4 calls:

12.0ms	(* (pow x 5) 1/60)
37.0ms	(* x (* x (* x 1/3)))
16.0ms	(* x (* x 1/3))
6.0ms	(* x 1/3)

series172.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(* (pow x 5) 1/60)
58.0ms	(* x (* x (* x 1/3)))
37.0ms	(* x (* x 1/3))
15.0ms	(* x 1/3)

simplify3.7s

Counts

94 → 94

Iterations

Iter	Nodes
done	5021
3	4617
2	1011
1	277
0	109

prune461.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize55.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (* 3 x))
0.0b	(* (exp x) (exp x))
0.0b	(* (/ -1 (exp x)) (/ -1 (exp x)))
6.1b	(+ (exp (* 3 x)) (/ -1 (exp (* 3 x))))

rewrite122.0ms

Algorithm

rewrite-expression-head

Rules

56×	`add-sqr-sqrt`
44×	`*-un-lft-identity`
42×	`add-cube-cbrt`
40×	`times-frac`
19×	`exp-prod`
18×	`pow1` `add-cbrt-cube`
16×	`swap-sqr` `associate-r` `associate-l`
12×	`add-exp-log`
8×	`add-log-exp`
5×	`pow-prod-down` `prod-exp` `pow-sqr` `pow-prod-up` `cbrt-unprod` `unswap-sqr`
4×	`cbrt-undiv` `div-exp` `div-inv`
2×	`pow2` `pow-plus` `*-commutative`
1×	`frac-times` `+-commutative` `sum-log` `flip3-+` `exp-to-pow` `associate-l/` `associate-r/` `flip-+` `distribute-lft-out` `rem-exp-log`

Counts

4 → 123

Calls

4 calls:

6.0ms	(exp (* 3 x))
26.0ms	(* (exp x) (exp x))
54.0ms	(* (/ -1 (exp x)) (/ -1 (exp x)))
27.0ms	(+ (exp (* 3 x)) (/ -1 (exp (* 3 x))))

series141.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(exp (* 3 x))
14.0ms	(* (exp x) (exp x))
27.0ms	(* (/ -1 (exp x)) (/ -1 (exp x)))
93.0ms	(+ (exp (* 3 x)) (/ -1 (exp (* 3 x))))

simplify2.1s

Counts

135 → 135

Iterations

Iter	Nodes
done	5000
2	1940
1	603
0	191

prune617.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes68.0ms

Accuracy

0% (0.6b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	22
1	22
0	15

end0.0ms

sample4.3s

Algorithm

intervals

Results

1.8s	3396×	body	1280	valid
1.4s	2501×	body	640	valid
523.0ms	8274×	body	80	valid
231.0ms	1215×	body	320	valid
70.0ms	631×	body	160	valid