Details

sample88.0ms

Algorithm

intervals

Results

29.0ms

465×

body

valid

simplify99.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	56
4	56
3	50
2	44
1	24
0	11

prune46.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize41.0ms

Local error

Found 2 expressions with local error:

0.2b	(fma (/ z t) (/ z t) (* (/ x y) (/ x y)))
0.3b	(* (/ x y) (/ x y))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

42×	`add-sqr-sqrt`
40×	`times-frac`
30×	`*-un-lft-identity` `add-cube-cbrt`
14×	`add-cbrt-cube` `add-exp-log`
13×	`swap-sqr` `associate-r` `associate-l`
9×	`pow1`
4×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr`
2×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`pow2` `frac-times` `pow-plus` `pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `*-commutative` `pow-prod-up` `fma-udef`

Counts

2 → 81

Calls

2 calls:

1.0ms	(fma (/ z t) (/ z t) (* (/ x y) (/ x y)))
48.0ms	(* (/ x y) (/ x y))

series285.0ms

Counts

2 → 6

Calls

2 calls:

229.0ms	(fma (/ z t) (/ z t) (* (/ x y) (/ x y)))
56.0ms	(* (/ x y) (/ x y))

simplify7.3s

Counts

87 → 87

Iterations

Iter	Nodes
done	5052
3	3966
2	1423
1	418
0	131

prune1.2s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.1b

localize55.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (/ x y) (/ x y))
0.4b	(* (sqrt (fma (/ z t) (/ z t) (* (/ x y) (/ x y)))) (sqrt (fma (/ z t) (/ z t) (* (/ x y) (/ x y)))))
8.1b	(sqrt (fma (/ z t) (/ z t) (* (/ x y) (/ x y))))
8.1b	(sqrt (fma (/ z t) (/ z t) (* (/ x y) (/ x y))))

rewrite138.0ms

Algorithm

rewrite-expression-head

Rules

68×	`add-sqr-sqrt`
42×	`*-un-lft-identity` `add-cube-cbrt`
40×	`times-frac`
28×	`pow1`
24×	`sqrt-prod`
21×	`swap-sqr`
19×	`associate-r` `associate-l`
18×	`add-cbrt-cube` `add-exp-log`
10×	`sqrt-pow1` `pow1/2`
8×	`unswap-sqr`
6×	`pow-prod-up`
5×	`prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `cbrt-undiv` `div-exp` `pow-prod-down` `pow-sqr` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp`
2×	`pow2` `rem-sqrt-square` `pow-plus` `*-commutative` `fma-udef` `hypot-def`
1×	`frac-times` `rem-square-sqrt` `sqrt-unprod` `associate-l/` `associate-r/`

Counts

4 → 156

Calls

4 calls:

66.0ms	(* (/ x y) (/ x y))
36.0ms	(* (sqrt (fma (/ z t) (/ z t) (* (/ x y) (/ x y)))) (sqrt (fma (/ z t) (/ z t) (* (/ x y) (/ x y)))))
6.0ms	(sqrt (fma (/ z t) (/ z t) (* (/ x y) (/ x y))))
6.0ms	(sqrt (fma (/ z t) (/ z t) (* (/ x y) (/ x y))))

series898.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(* (/ x y) (/ x y))
262.0ms	(* (sqrt (fma (/ z t) (/ z t) (* (/ x y) (/ x y)))) (sqrt (fma (/ z t) (/ z t) (* (/ x y) (/ x y)))))
292.0ms	(sqrt (fma (/ z t) (/ z t) (* (/ x y) (/ x y))))
283.0ms	(sqrt (fma (/ z t) (/ z t) (* (/ x y) (/ x y))))

simplify3.8s

Counts

168 → 168

Iterations

Iter	Nodes
done	5001
2	1514
1	484
0	170

prune2.3s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.1b

localize152.0ms

Local error

Found 4 expressions with local error:

2.4b	(sqrt (sqrt (fma (/ z t) (/ z t) (* (/ x y) (/ x y)))))
8.1b	(sqrt (fma (/ z t) (/ z t) (* (/ x y) (/ x y))))
8.1b	(sqrt (fma (/ z t) (/ z t) (* (/ x y) (/ x y))))
8.1b	(sqrt (fma (/ z t) (/ z t) (* (/ x y) (/ x y))))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

19×	`sqrt-prod`
14×	`add-sqr-sqrt`
9×	`pow1` `*-un-lft-identity` `add-cube-cbrt`
7×	`sqrt-pow1`
5×	`rem-sqrt-square` `pow1/2`
4×	`expm1-log1p-u` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`fma-udef` `hypot-def`

Counts

4 → 73

Calls

4 calls:

8.0ms	(sqrt (sqrt (fma (/ z t) (/ z t) (* (/ x y) (/ x y)))))
5.0ms	(sqrt (fma (/ z t) (/ z t) (* (/ x y) (/ x y))))
5.0ms	(sqrt (fma (/ z t) (/ z t) (* (/ x y) (/ x y))))
6.0ms	(sqrt (fma (/ z t) (/ z t) (* (/ x y) (/ x y))))

series1.1s

Counts

4 → 12

Calls

4 calls:

406.0ms	(sqrt (sqrt (fma (/ z t) (/ z t) (* (/ x y) (/ x y)))))
198.0ms	(sqrt (fma (/ z t) (/ z t) (* (/ x y) (/ x y))))
243.0ms	(sqrt (fma (/ z t) (/ z t) (* (/ x y) (/ x y))))
270.0ms	(sqrt (fma (/ z t) (/ z t) (* (/ x y) (/ x y))))

simplify6.1s

Counts

85 → 85

Iterations

Iter	Nodes
done	5000
4	2981
3	778
2	272
1	128
0	72

prune1.5s

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 0.0b

localize128.0ms

Local error

Found 4 expressions with local error:

2.4b	(sqrt (sqrt (fma (/ z t) (/ z t) (* (/ x y) (/ x y)))))
8.1b	(sqrt (fma (/ z t) (/ z t) (* (/ x y) (/ x y))))
8.1b	(sqrt (fma (/ z t) (/ z t) (* (/ x y) (/ x y))))
8.1b	(sqrt (fma (/ z t) (/ z t) (* (/ x y) (/ x y))))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

19×	`sqrt-prod`
14×	`add-sqr-sqrt`
9×	`pow1` `*-un-lft-identity` `add-cube-cbrt`
7×	`sqrt-pow1`
5×	`rem-sqrt-square` `pow1/2`
4×	`expm1-log1p-u` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`fma-udef` `hypot-def`

Counts

4 → 73

Calls

4 calls:

8.0ms	(sqrt (sqrt (fma (/ z t) (/ z t) (* (/ x y) (/ x y)))))
6.0ms	(sqrt (fma (/ z t) (/ z t) (* (/ x y) (/ x y))))
6.0ms	(sqrt (fma (/ z t) (/ z t) (* (/ x y) (/ x y))))
6.0ms	(sqrt (fma (/ z t) (/ z t) (* (/ x y) (/ x y))))

series1.1s

Counts

4 → 12

Calls

4 calls:

389.0ms	(sqrt (sqrt (fma (/ z t) (/ z t) (* (/ x y) (/ x y)))))
229.0ms	(sqrt (fma (/ z t) (/ z t) (* (/ x y) (/ x y))))
239.0ms	(sqrt (fma (/ z t) (/ z t) (* (/ x y) (/ x y))))
199.0ms	(sqrt (fma (/ z t) (/ z t) (* (/ x y) (/ x y))))

simplify5.5s

Counts

85 → 85

Iterations

Iter	Nodes
done	5000
4	2981
3	778
2	272
1	128
0	72

prune1.2s

Pruning

16 alts after pruning (14 fresh and 2 done)

Merged error: 0.0b

regimes4.8s

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.6b

bsearch0.0ms

simplify7.0ms

Iterations

Iter	Nodes
done	13
1	13
0	12

end0.0ms

sample2.4s

Algorithm

intervals

Results

1.7s

15390×

body

valid