Details

sample524.0ms

Algorithm

intervals

Results

504.0ms

431×

body

valid

simplify2.2s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
3	1089
2	240
1	74
0	28

prune14.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize78.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (/ 1 (sqrt PI)) (+ (+ (+ (* 2 (fabs x)) (* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))) (* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))) (* (/ 1 21) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)))))
0.2b	(* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
0.2b	(* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))
1.0b	(sqrt PI)

rewrite2.7s

Algorithm

rewrite-expression-head

Rules

119×	`add-exp-log`
76×	`prod-exp`
75×	`add-cbrt-cube`
48×	`associate-l`
46×	`add-sqr-sqrt`
44×	`cbrt-unprod`
40×	`times-frac`
36×	`pow1`
35×	`*-un-lft-identity`
33×	`add-cube-cbrt`
22×	`pow-prod-down`
15×	`div-exp` `associate-*l/`
14×	`sqrt-prod`
12×	`frac-add`
9×	`cbrt-undiv`
6×	`frac-times` `rec-exp` `flip3-+` `1-exp` `associate-*r/` `flip-+`
5×	`associate-r` `unswap-sqr`
4×	`insert-posit16` `add-log-exp`
3×	`*-commutative` `div-inv`
1×	`distribute-rgt-in` `rem-sqrt-square` `distribute-lft-in` `sqrt-pow1` `pow1/2`

Counts

4 → 173

Calls

4 calls:

1.8s	(* (/ 1 (sqrt PI)) (+ (+ (+ (* 2 (fabs x)) (* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))) (* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))) (* (/ 1 21) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)))))
759.0ms	(* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
75.0ms	(* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))
2.0ms	(sqrt PI)

series568.0ms

Counts

4 → 10

Calls

4 calls:

409.0ms	(* (/ 1 (sqrt PI)) (+ (+ (+ (* 2 (fabs x)) (* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))) (* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))) (* (/ 1 21) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)))))
82.0ms	(* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
76.0ms	(* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))
0.0ms	(sqrt PI)

simplify3.3s

Counts

183 → 183

Iterations

Iter	Nodes
done	5000
2	4332
1	1227
0	354

prune1.0s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize66.0ms

Local error

Found 4 expressions with local error:

0.1b	(* 1/21 (pow (fabs x) 7))
0.1b	(* (sqrt (/ 1 PI)) (+ (+ (* (pow (fabs x) 5) 1/5) (* (fabs x) (+ 2 (* 2/3 (* (fabs x) (fabs x)))))) (* 1/21 (pow (fabs x) 7))))
0.2b	(* (pow (fabs x) 5) 1/5)
0.2b	(* 2/3 (* (fabs x) (fabs x)))

rewrite146.0ms

Algorithm

rewrite-expression-head

Rules

40×	`add-sqr-sqrt`
29×	`associate-l`
21×	`*-un-lft-identity` `add-exp-log`
20×	`add-cube-cbrt`
16×	`sqrt-prod`
15×	`add-cbrt-cube`
14×	`associate-r`
11×	`pow1` `times-frac` `unswap-sqr`
10×	`prod-exp`
8×	`unpow-prod-down`
6×	`cbrt-unprod`
4×	`pow-prod-down` `*-commutative` `insert-posit16` `add-log-exp` `sqr-pow`
3×	`sqrt-div`
2×	`frac-times` `pow-to-exp` `flip3-+` `pow-exp` `associate-*r/` `flip-+`
1×	`distribute-rgt-in` `distribute-lft-in` `associate-*l/` `div-inv`

Counts

4 → 114

Calls

4 calls:

10.0ms	(* 1/21 (pow (fabs x) 7))
107.0ms	(* (sqrt (/ 1 PI)) (+ (+ (* (pow (fabs x) 5) 1/5) (* (fabs x) (+ 2 (* 2/3 (* (fabs x) (fabs x)))))) (* 1/21 (pow (fabs x) 7))))
11.0ms	(* (pow (fabs x) 5) 1/5)
16.0ms	(* 2/3 (* (fabs x) (fabs x)))

series592.0ms

Counts

4 → 12

Calls

4 calls:

90.0ms	(* 1/21 (pow (fabs x) 7))
389.0ms	(* (sqrt (/ 1 PI)) (+ (+ (* (pow (fabs x) 5) 1/5) (* (fabs x) (+ 2 (* 2/3 (* (fabs x) (fabs x)))))) (* 1/21 (pow (fabs x) 7))))
68.0ms	(* (pow (fabs x) 5) 1/5)
45.0ms	(* 2/3 (* (fabs x) (fabs x)))

simplify2.4s

Counts

126 → 126

Iterations

Iter	Nodes
done	5001
2	2139
1	628
0	223

prune922.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize67.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (sqrt (/ 1 PI)) (+ (+ (* (pow (fabs x) 5) 1/5) (* (fabs x) (+ 2 (* 2/3 (* (fabs x) (fabs x)))))) (* (* 1/21 (pow (fabs x) (/ 7 2))) (pow (fabs x) (/ 7 2)))))
0.1b	(* 1/21 (pow (fabs x) (/ 7 2)))
0.2b	(* (pow (fabs x) 5) 1/5)
0.2b	(* 2/3 (* (fabs x) (fabs x)))

rewrite243.0ms

Algorithm

rewrite-expression-head

Rules

40×	`add-sqr-sqrt`
29×	`associate-l`
21×	`*-un-lft-identity` `add-exp-log`
20×	`add-cube-cbrt`
16×	`sqrt-prod`
15×	`add-cbrt-cube`
14×	`associate-r`
11×	`pow1` `times-frac` `unswap-sqr`
10×	`prod-exp`
8×	`unpow-prod-down`
6×	`cbrt-unprod`
4×	`pow-prod-down` `*-commutative` `insert-posit16` `add-log-exp` `sqr-pow`
3×	`sqrt-div`
2×	`frac-times` `pow-to-exp` `flip3-+` `pow-exp` `associate-*r/` `flip-+`
1×	`distribute-rgt-in` `distribute-lft-in` `associate-*l/` `div-inv`

Counts

4 → 114

Calls

4 calls:

190.0ms	(* (sqrt (/ 1 PI)) (+ (+ (* (pow (fabs x) 5) 1/5) (* (fabs x) (+ 2 (* 2/3 (* (fabs x) (fabs x)))))) (* (* 1/21 (pow (fabs x) (/ 7 2))) (pow (fabs x) (/ 7 2)))))
14.0ms	(* 1/21 (pow (fabs x) (/ 7 2)))
9.0ms	(* (pow (fabs x) 5) 1/5)
27.0ms	(* 2/3 (* (fabs x) (fabs x)))

series634.0ms

Counts

4 → 12

Calls

4 calls:

375.0ms	(* (sqrt (/ 1 PI)) (+ (+ (* (pow (fabs x) 5) 1/5) (* (fabs x) (+ 2 (* 2/3 (* (fabs x) (fabs x)))))) (* (* 1/21 (pow (fabs x) (/ 7 2))) (pow (fabs x) (/ 7 2)))))
115.0ms	(* 1/21 (pow (fabs x) (/ 7 2)))
93.0ms	(* (pow (fabs x) 5) 1/5)
50.0ms	(* 2/3 (* (fabs x) (fabs x)))

simplify2.9s

Counts

126 → 126

Iterations

Iter	Nodes
done	5006
2	2181
1	649
0	230

prune1.1s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize87.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 2/3 (* (fabs x) (fabs x)))
0.3b	(* 1/21 (sqrt (pow (fabs x) (/ 7 2))))
13.2b	(sqrt (pow (fabs x) (/ 7 2)))
13.2b	(sqrt (pow (fabs x) (/ 7 2)))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
24×	`sqrt-prod`
13×	`*-un-lft-identity` `add-cube-cbrt`
12×	`unpow-prod-down`
11×	`pow1` `add-cbrt-cube` `associate-r` `add-exp-log`
6×	`rem-sqrt-square` `associate-l` `sqr-pow`
5×	`unswap-sqr`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16` `add-log-exp`
2×	`sqrt-pow1` `pow1/2` `*-commutative`

Counts

4 → 89

Calls

4 calls:

20.0ms	(* 2/3 (* (fabs x) (fabs x)))
18.0ms	(* 1/21 (sqrt (pow (fabs x) (/ 7 2))))
3.0ms	(sqrt (pow (fabs x) (/ 7 2)))
3.0ms	(sqrt (pow (fabs x) (/ 7 2)))

series725.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(* 2/3 (* (fabs x) (fabs x)))
219.0ms	(* 1/21 (sqrt (pow (fabs x) (/ 7 2))))
220.0ms	(sqrt (pow (fabs x) (/ 7 2)))
240.0ms	(sqrt (pow (fabs x) (/ 7 2)))

simplify2.6s

Counts

101 → 101

Iterations

Iter	Nodes
done	5001
4	3454
3	1220
2	496
1	221
0	103

prune942.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes130.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify6.0ms

Iterations

Iter	Nodes
done	34
1	34
0	24

end0.0ms

sample5.3s

Algorithm

intervals

Results

5.1s

13701×

body

valid