Details

sample173.0ms

Algorithm

intervals

Results

149.0ms

431×

body

valid

simplify2.0s

Counts

1 → 1

Iterations

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

prune26.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize89.0ms

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)))))
0.1b	(* (/ 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)

rewrite2.5s

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)))))
571.0ms	(* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
63.0ms	(* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))
2.0ms	(sqrt PI)

series505.0ms

Counts

4 → 10

Calls

4 calls:

357.0ms	(* (/ 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)))))
69.0ms	(* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
78.0ms	(* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))
0.0ms	(sqrt PI)

simplify3.0s

Counts

183 → 183

Iterations

Iter	Nodes
done	5000
2	4332
1	1227
0	354

prune1.2s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize49.0ms

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))))
0.1b	(* (pow (fabs x) 5) 1/5)
0.2b	(* 2/3 (* (fabs x) (fabs x)))

rewrite151.0ms

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:

8.0ms	(* 1/21 (pow (fabs x) 7))
116.0ms	(* (sqrt (/ 1 PI)) (+ (+ (* (pow (fabs x) 5) 1/5) (* (fabs x) (+ 2 (* 2/3 (* (fabs x) (fabs x)))))) (* 1/21 (pow (fabs x) 7))))
13.0ms	(* (pow (fabs x) 5) 1/5)
13.0ms	(* 2/3 (* (fabs x) (fabs x)))

series594.0ms

Counts

4 → 12

Calls

4 calls:

96.0ms	(* 1/21 (pow (fabs x) 7))
366.0ms	(* (sqrt (/ 1 PI)) (+ (+ (* (pow (fabs x) 5) 1/5) (* (fabs x) (+ 2 (* 2/3 (* (fabs x) (fabs x)))))) (* 1/21 (pow (fabs x) 7))))
90.0ms	(* (pow (fabs x) 5) 1/5)
41.0ms	(* 2/3 (* (fabs x) (fabs x)))

simplify2.3s

Counts

126 → 126

Iterations

Iter	Nodes
done	5001
2	2139
1	628
0	223

prune890.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize86.0ms

Local error

Found 4 expressions with local error:

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

rewrite177.0ms

Algorithm

rewrite-expression-head

Rules

40×	`add-sqr-sqrt`
33×	`associate-l`
21×	`*-un-lft-identity` `add-exp-log`
20×	`add-cube-cbrt`
16×	`sqrt-prod`
15×	`add-cbrt-cube`
11×	`pow1` `times-frac` `unswap-sqr`
10×	`associate-r` `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:

16.0ms	(* (pow (fabs x) 7) 1/21)
132.0ms	(* (sqrt (/ 1 PI)) (+ (+ (* (pow (fabs x) 5) 1/5) (* (fabs x) (+ 2 (* 2/3 (* (fabs x) (fabs x)))))) (* (pow (fabs x) 7) 1/21)))
8.0ms	(* (pow (fabs x) 5) 1/5)
18.0ms	(* 2/3 (* (fabs x) (fabs x)))

series551.0ms

Counts

4 → 12

Calls

4 calls:

76.0ms	(* (pow (fabs x) 7) 1/21)
367.0ms	(* (sqrt (/ 1 PI)) (+ (+ (* (pow (fabs x) 5) 1/5) (* (fabs x) (+ 2 (* 2/3 (* (fabs x) (fabs x)))))) (* (pow (fabs x) 7) 1/21)))
76.0ms	(* (pow (fabs x) 5) 1/5)
32.0ms	(* 2/3 (* (fabs x) (fabs x)))

simplify2.3s

Counts

126 → 126

Iterations

Iter	Nodes
done	5000
2	2148
1	627
0	221

prune930.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize99.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (/ 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)
1.0b	(sqrt PI)

rewrite715.0ms

Algorithm

rewrite-expression-head

Rules

110×	`add-exp-log`
72×	`prod-exp`
70×	`add-cbrt-cube`
42×	`cbrt-unprod`
35×	`pow1`
26×	`associate-l`
22×	`add-sqr-sqrt`
21×	`pow-prod-down`
20×	`*-un-lft-identity` `add-cube-cbrt`
18×	`times-frac`
13×	`div-exp`
8×	`cbrt-undiv`
6×	`sqrt-prod`
5×	`rec-exp` `1-exp`
4×	`insert-posit16` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-r` `associate-l/` `-commutative` `div-inv`

Counts

4 → 126

Calls

4 calls:

633.0ms	(* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
78.0ms	(* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))
1.0ms	(sqrt PI)
1.0ms	(sqrt PI)

series122.0ms

Counts

4 → 8

Calls

4 calls:

70.0ms	(* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
52.0ms	(* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))
0.0ms	(sqrt PI)
0.0ms	(sqrt PI)

simplify1.9s

Counts

134 → 134

Iterations

Iter	Nodes
done	5001
2	1615
1	590
0	208

prune829.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes74.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify9.0ms

Iterations

Iter	Nodes
done	34
1	34
0	24

end0.0ms

sample6.0s

Algorithm

intervals

Results

5.7s

14004×

body

valid