Details

sample52.0ms

Algorithm

intervals

Results

36.0ms

274×

body

valid

simplify81.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	117
6	117
5	112
4	88
3	59
2	37
1	21
0	9

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.3b

localize25.0ms

Local error

Found 2 expressions with local error:

2.4b	(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))
5.0b	(* y (+ 1.0 (* z z)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

31×	`times-frac`
20×	`add-sqr-sqrt`
18×	`*-un-lft-identity` `add-cube-cbrt`
16×	`add-cbrt-cube` `add-exp-log`
13×	`associate-/l*`
6×	`cbrt-undiv` `div-exp`
4×	`pow1` `associate-*r/`
3×	`associate-r` `associate-l` `prod-exp` `cbrt-unprod` `div-inv`
2×	`flip3-+` `associate-/r/` `flip-+` `insert-posit16` `add-log-exp`
1×	`distribute-rgt-in` `clear-num` `associate-/r` `frac-2neg` `distribute-lft-in` `pow-prod-down` `-commutative` `unswap-sqr` `associate-/l/`

Counts

2 → 72

Calls

2 calls:

14.0ms	(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))
11.0ms	(* y (+ 1.0 (* z z)))

series149.0ms

Counts

2 → 6

Calls

2 calls:

80.0ms	(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))
69.0ms	(* y (+ 1.0 (* z z)))

simplify1.4s

Counts

78 → 78

Iterations

Iter	Nodes
done	5000
2	2234
1	440
0	158

prune454.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 4.9b

localize41.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* y (sqrt (+ 1.0 (* z z)))) (sqrt (+ 1.0 (* z z))))
2.4b	(/ (/ 1.0 x) (* (* y (sqrt (+ 1.0 (* z z)))) (sqrt (+ 1.0 (* z z)))))
17.2b	(sqrt (+ 1.0 (* z z)))
17.2b	(sqrt (+ 1.0 (* z z)))

rewrite123.0ms

Algorithm

rewrite-expression-head

Rules

31×	`times-frac`
30×	`add-cbrt-cube` `add-exp-log`
28×	`sqrt-div`
24×	`add-sqr-sqrt`
22×	`*-un-lft-identity` `add-cube-cbrt`
16×	`associate-*r/`
14×	`flip3-+` `flip-+`
13×	`associate-/l*`
11×	`pow1`
9×	`cbrt-undiv` `div-exp` `prod-exp` `sqrt-prod` `cbrt-unprod`
8×	`frac-times` `associate-/r/`
6×	`associate-r`
4×	`associate-*l/` `insert-posit16` `add-log-exp`
3×	`pow-prod-down` `div-inv`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`
1×	`clear-num` `associate-/r` `frac-2neg` `associate-l` `-commutative` `associate-/l/`

Counts

4 → 121

Calls

4 calls:

39.0ms	(* (* y (sqrt (+ 1.0 (* z z)))) (sqrt (+ 1.0 (* z z))))
67.0ms	(/ (/ 1.0 x) (* (* y (sqrt (+ 1.0 (* z z)))) (sqrt (+ 1.0 (* z z)))))
7.0ms	(sqrt (+ 1.0 (* z z)))
7.0ms	(sqrt (+ 1.0 (* z z)))

series291.0ms

Counts

4 → 12

Calls

4 calls:

75.0ms	(* (* y (sqrt (+ 1.0 (* z z)))) (sqrt (+ 1.0 (* z z))))
67.0ms	(/ (/ 1.0 x) (* (* y (sqrt (+ 1.0 (* z z)))) (sqrt (+ 1.0 (* z z)))))
82.0ms	(sqrt (+ 1.0 (* z z)))
67.0ms	(sqrt (+ 1.0 (* z z)))

simplify1.9s

Counts

133 → 133

Iterations

Iter	Nodes
done	5000
2	3536
1	631
0	220

prune714.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 4.9b

localize23.0ms

Local error

Found 3 expressions with local error:

0.3b	(/ 1 (* y (+ 1.0 (* z z))))
2.2b	(* (/ 1.0 x) (/ 1 (* y (+ 1.0 (* z z)))))
5.0b	(* y (+ 1.0 (* z z)))

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

61×	`add-exp-log`
31×	`add-cbrt-cube`
24×	`prod-exp`
23×	`add-sqr-sqrt`
19×	`div-exp`
16×	`-un-lft-identity` `times-frac` `associate-l*` `add-cube-cbrt`
12×	`associate-r`
10×	`pow1` `cbrt-unprod`
9×	`cbrt-undiv`
7×	`associate-*r/`
6×	`rec-exp` `1-exp`
4×	`associate-/r/`
3×	`flip3-+` `pow-prod-down` `flip-+` `insert-posit16` `div-inv` `associate-/l*` `add-log-exp` `unswap-sqr`
2×	`*-commutative` `pow-flip`
1×	`distribute-rgt-in` `frac-times` `clear-num` `associate-/r` `frac-2neg` `distribute-lft-in` `associate-l/` `un-div-inv` `inv-pow`

Counts

3 → 112

Calls

3 calls:

23.0ms	(/ 1 (* y (+ 1.0 (* z z))))
37.0ms	(* (/ 1.0 x) (/ 1 (* y (+ 1.0 (* z z)))))
18.0ms	(* y (+ 1.0 (* z z)))

series200.0ms

Counts

3 → 9

Calls

3 calls:

63.0ms	(/ 1 (* y (+ 1.0 (* z z))))
80.0ms	(* (/ 1.0 x) (/ 1 (* y (+ 1.0 (* z z)))))
57.0ms	(* y (+ 1.0 (* z z)))

simplify1.6s

Counts

121 → 121

Iterations

Iter	Nodes
done	5001
2	3775
1	594
0	187

prune474.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 2.0b

localize23.0ms

Local error

Found 3 expressions with local error:

0.8b	(/ 1.0 (+ 1.0 (* z z)))
2.2b	(/ (/ (/ 1.0 (+ 1.0 (* z z))) y) x)
5.1b	(/ (/ 1.0 (+ 1.0 (* z z))) y)

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

525×	`times-frac`
253×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
67×	`associate-/l*`
34×	`associate-/r/`
23×	`div-inv`
19×	`add-cbrt-cube` `add-exp-log`
17×	`flip3-+` `flip-+`
10×	`cbrt-undiv` `div-exp`
9×	`associate-/r*`
3×	`pow1` `clear-num` `frac-2neg` `insert-posit16` `add-log-exp`
2×	`associate-/l/`

Counts

3 → 326

Calls

3 calls:

15.0ms	(/ 1.0 (+ 1.0 (* z z)))
27.0ms	(/ (/ (/ 1.0 (+ 1.0 (* z z))) y) x)
21.0ms	(/ (/ 1.0 (+ 1.0 (* z z))) y)

series216.0ms

Counts

3 → 9

Calls

3 calls:

52.0ms	(/ 1.0 (+ 1.0 (* z z)))
92.0ms	(/ (/ (/ 1.0 (+ 1.0 (* z z))) y) x)
72.0ms	(/ (/ 1.0 (+ 1.0 (* z z))) y)

simplify1.1s

Counts

335 → 335

Iterations

Iter	Nodes
done	5001
1	1518
0	578

prune1.7s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 2.0b

regimes579.0ms

Accuracy

49.5% (2.1b remaining)

Error of 4.2b against oracle of 2.1b and baseline of 6.3b

bsearch125.0ms

Steps

Iters	Range		Point
9	2.5328297565705488e+190	1.9355832228119412e+198	2.57842419165539e+190
8	-2.086491604236878e+34	-1.5853716859858433e+30	-1.2727104958862755e+34

simplify9.0ms

Iterations

Iter	Nodes
done	29
1	29
0	23

end0.0ms

sample1.4s

Algorithm

intervals

Results

1.1s

8608×

body

valid