Details

sample200.0ms

Algorithm

intervals

Results

166.0ms

420×

body

valid

simplify1.5s

Counts

1 → 1

Iterations

Iter	Nodes
4	3271
3	1094
2	318
1	130
0	28

prune17.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize98.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* (fabs x) (fabs x)) (fabs x))
0.1b	(* (* (fabs x) (fabs x)) (fabs x))
0.2b	(* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))
1.0b	(sqrt PI)

rewrite109.0ms

Algorithm

rewrite-expression-head

Rules

52×	`pow1`
35×	`add-cbrt-cube` `add-exp-log`
18×	`prod-exp` `cbrt-unprod`
17×	`add-sqr-sqrt`
15×	`associate-l`
14×	`*-un-lft-identity` `add-cube-cbrt`
12×	`pow-plus` `pow-prod-down` `pow-prod-up`
9×	`times-frac`
7×	`associate-r`
4×	`pow2` `pow-sqr` `insert-posit16` `add-log-exp`
3×	`cbrt-undiv` `div-exp` `*-commutative` `sqrt-prod`
2×	`pow3` `unswap-sqr`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-*l/` `div-inv`

Counts

4 → 111

Calls

4 calls:

29.0ms	(* (* (fabs x) (fabs x)) (fabs x))
28.0ms	(* (* (fabs x) (fabs x)) (fabs x))
48.0ms	(* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))
1.0ms	(sqrt PI)

series139.0ms

Counts

4 → 10

Calls

4 calls:

38.0ms	(* (* (fabs x) (fabs x)) (fabs x))
30.0ms	(* (* (fabs x) (fabs x)) (fabs x))
71.0ms	(* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))
0.0ms	(sqrt PI)

simplify2.4s

Counts

121 → 121

Iterations

Iter	Nodes
3	4627
2	1613
1	559
0	130

prune2.6s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize93.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* (fabs x) (fabs x)) (fabs x))
0.1b	(* (* (fabs x) (fabs x)) (fabs x))
0.2b	(* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))
1.0b	(sqrt PI)

rewrite129.0ms

Algorithm

rewrite-expression-head

Rules

52×	`pow1`
35×	`add-cbrt-cube` `add-exp-log`
18×	`prod-exp` `cbrt-unprod`
17×	`add-sqr-sqrt`
15×	`associate-l`
14×	`*-un-lft-identity` `add-cube-cbrt`
12×	`pow-plus` `pow-prod-down` `pow-prod-up`
9×	`times-frac`
7×	`associate-r`
4×	`pow2` `pow-sqr` `insert-posit16` `add-log-exp`
3×	`cbrt-undiv` `div-exp` `*-commutative` `sqrt-prod`
2×	`pow3` `unswap-sqr`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-*l/` `div-inv`

Counts

4 → 111

Calls

4 calls:

14.0ms	(* (* (fabs x) (fabs x)) (fabs x))
22.0ms	(* (* (fabs x) (fabs x)) (fabs x))
89.0ms	(* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))
2.0ms	(sqrt PI)

series145.0ms

Counts

4 → 10

Calls

4 calls:

45.0ms	(* (* (fabs x) (fabs x)) (fabs x))
38.0ms	(* (* (fabs x) (fabs x)) (fabs x))
62.0ms	(* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))
0.0ms	(sqrt PI)

simplify2.7s

Counts

121 → 121

Iterations

Iter	Nodes
3	4945
2	1594
1	561
0	132

prune2.5s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize93.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* (fabs x) (fabs x)) (* (fabs x) (fabs x)))
0.2b	(* (* (fabs x) (fabs x)) 1/5)
0.3b	(/ (+ (* (* (* (fabs x) (fabs x)) (fabs x)) (+ 2/3 (* (* (fabs x) (fabs x)) 1/5))) (* (fabs x) (+ (* (* (* (* (fabs x) (fabs x)) (* (fabs x) (fabs x))) (* (fabs x) (fabs x))) 1/21) 2))) (sqrt PI))
1.0b	(sqrt PI)

rewrite354.0ms

Algorithm

rewrite-expression-head

Rules

121×	`pow1`
36×	`pow-prod-up`
26×	`pow-prod-down`
23×	`add-sqr-sqrt` `add-cbrt-cube` `add-exp-log`
22×	`pow-sqr`
21×	`*-un-lft-identity` `add-cube-cbrt`
18×	`times-frac` `pow-plus`
15×	`sqrt-prod`
13×	`pow2`
11×	`prod-exp` `cbrt-unprod`
8×	`associate-*r/`
6×	`associate-/r*` `associate-/l/`
5×	`flip3-+` `flip-+`
4×	`associate-r` `frac-add` `insert-posit16` `add-log-exp`
3×	`associate-/l*`
2×	`associate-l` `*-commutative` `unswap-sqr`
1×	`cbrt-undiv` `rem-sqrt-square` `clear-num` `frac-2neg` `sqrt-pow1` `pow1/2` `swap-sqr` `div-exp` `div-inv`

Counts

4 → 144

Calls

4 calls:

37.0ms	(* (* (fabs x) (fabs x)) (* (fabs x) (fabs x)))
14.0ms	(* (* (fabs x) (fabs x)) 1/5)
296.0ms	(/ (+ (* (* (* (fabs x) (fabs x)) (fabs x)) (+ 2/3 (* (* (fabs x) (fabs x)) 1/5))) (* (fabs x) (+ (* (* (* (* (fabs x) (fabs x)) (* (fabs x) (fabs x))) (* (fabs x) (fabs x))) 1/21) 2))) (sqrt PI))
2.0ms	(sqrt PI)

series427.0ms

Counts

4 → 10

Calls

4 calls:

36.0ms	(* (* (fabs x) (fabs x)) (* (fabs x) (fabs x)))
34.0ms	(* (* (fabs x) (fabs x)) 1/5)
356.0ms	(/ (+ (* (* (* (fabs x) (fabs x)) (fabs x)) (+ 2/3 (* (* (fabs x) (fabs x)) 1/5))) (* (fabs x) (+ (* (* (* (* (fabs x) (fabs x)) (* (fabs x) (fabs x))) (* (fabs x) (fabs x))) 1/21) 2))) (sqrt PI))
0.0ms	(sqrt PI)

simplify969.0ms

Counts

154 → 154

Iterations

Iter	Nodes
2	2323
1	811
0	191

prune2.1s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize103.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* (fabs x) (fabs x)) 1/5)
0.3b	(* (/ 1 (sqrt (sqrt PI))) (/ (+ (* (fabs x) (+ (* 1/21 (* (* (* (fabs x) (fabs x)) (fabs x)) (* (* (fabs x) (fabs x)) (fabs x)))) 2)) (* (* (* (fabs x) (fabs x)) (fabs x)) (+ 2/3 (* (* (fabs x) (fabs x)) 1/5)))) (sqrt (sqrt PI))))
1.0b	(sqrt PI)
1.0b	(sqrt PI)

rewrite995.0ms

Algorithm

rewrite-expression-head

Rules

137×	`add-sqr-sqrt`
105×	`sqrt-prod`
99×	`times-frac`
57×	`*-un-lft-identity`
45×	`add-cube-cbrt`
34×	`associate-r`
32×	`associate-l`
31×	`add-exp-log`
29×	`unswap-sqr`
21×	`add-cbrt-cube`
13×	`pow1`
11×	`prod-exp`
8×	`div-exp`
7×	`cbrt-unprod`
4×	`cbrt-undiv` `pow-prod-down` `insert-posit16` `add-log-exp`
2×	`rem-sqrt-square` `rec-exp` `sqrt-pow1` `pow1/2` `1-exp` `*-commutative` `div-inv`
1×	`frac-times` `associate-l/` `associate-r/`

Counts

4 → 163

Calls

4 calls:

14.0ms	(* (* (fabs x) (fabs x)) 1/5)
977.0ms	(* (/ 1 (sqrt (sqrt PI))) (/ (+ (* (fabs x) (+ (* 1/21 (* (* (* (fabs x) (fabs x)) (fabs x)) (* (* (fabs x) (fabs x)) (fabs x)))) 2)) (* (* (* (fabs x) (fabs x)) (fabs x)) (+ 2/3 (* (* (fabs x) (fabs x)) 1/5)))) (sqrt (sqrt PI))))
1.0ms	(sqrt PI)
1.0ms	(sqrt PI)

series421.0ms

Counts

4 → 8

Calls

4 calls:

54.0ms	(* (* (fabs x) (fabs x)) 1/5)
367.0ms	(* (/ 1 (sqrt (sqrt PI))) (/ (+ (* (fabs x) (+ (* 1/21 (* (* (* (fabs x) (fabs x)) (fabs x)) (* (* (fabs x) (fabs x)) (fabs x)))) 2)) (* (* (* (fabs x) (fabs x)) (fabs x)) (+ 2/3 (* (* (fabs x) (fabs x)) 1/5)))) (sqrt (sqrt PI))))
0.0ms	(sqrt PI)
0.0ms	(sqrt PI)

simplify1.6s

Counts

171 → 171

Iterations

Iter	Nodes
2	2783
1	1065
0	225

prune2.7s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes112.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify20.0ms

Iterations

Iter	Nodes
2	51
1	51
0	31

end0.0ms

sample5.1s

Algorithm

intervals

Results

4.8s

13872×

body

valid