Details

sample80.0ms

Algorithm

intervals

Results

53.0ms

465×

body

valid

simplify55.0ms

Counts

1 → 1

Iterations

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

prune22.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize27.0ms

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))

rewrite63.0ms

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)))
57.0ms	(* (/ x y) (/ x y))

series207.0ms

Counts

2 → 6

Calls

2 calls:

172.0ms	(fma (/ z t) (/ z t) (* (/ x y) (/ x y)))
34.0ms	(* (/ x y) (/ x y))

simplify3.1s

Counts

87 → 87

Iterations

Iter	Nodes
done	5013
3	4061
2	1421
1	417
0	131

prune510.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.1b

localize26.0ms

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))))

rewrite81.0ms

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:

44.0ms	(* (/ x y) (/ x y))
24.0ms	(* (sqrt (fma (/ z t) (/ z t) (* (/ x y) (/ x y)))) (sqrt (fma (/ z t) (/ z t) (* (/ x y) (/ x y)))))
2.0ms	(sqrt (fma (/ z t) (/ z t) (* (/ x y) (/ x y))))
2.0ms	(sqrt (fma (/ z t) (/ z t) (* (/ x y) (/ x y))))

series535.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(* (/ x y) (/ x y))
181.0ms	(* (sqrt (fma (/ z t) (/ z t) (* (/ x y) (/ x y)))) (sqrt (fma (/ z t) (/ z t) (* (/ x y) (/ x y)))))
128.0ms	(sqrt (fma (/ z t) (/ z t) (* (/ x y) (/ x y))))
176.0ms	(sqrt (fma (/ z t) (/ z t) (* (/ x y) (/ x y))))

simplify1.6s

Counts

168 → 168

Iterations

Iter	Nodes
done	5002
2	1443
1	478
0	170

prune923.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.1b

localize49.0ms

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))))

rewrite9.0ms

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:

2.0ms	(sqrt (sqrt (fma (/ z t) (/ z t) (* (/ x y) (/ x y)))))
2.0ms	(sqrt (fma (/ z t) (/ z t) (* (/ x y) (/ x y))))
2.0ms	(sqrt (fma (/ z t) (/ z t) (* (/ x y) (/ x y))))
2.0ms	(sqrt (fma (/ z t) (/ z t) (* (/ x y) (/ x y))))

series650.0ms

Counts

4 → 12

Calls

4 calls:

219.0ms	(sqrt (sqrt (fma (/ z t) (/ z t) (* (/ x y) (/ x y)))))
144.0ms	(sqrt (fma (/ z t) (/ z t) (* (/ x y) (/ x y))))
132.0ms	(sqrt (fma (/ z t) (/ z t) (* (/ x y) (/ x y))))
155.0ms	(sqrt (fma (/ z t) (/ z t) (* (/ x y) (/ x y))))

simplify3.3s

Counts

85 → 85

Iterations

Iter	Nodes
done	5004
4	2935
3	776
2	272
1	128
0	72

prune606.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 0.0b

localize34.0ms

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))))

rewrite16.0ms

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:

4.0ms	(sqrt (sqrt (fma (/ z t) (/ z t) (* (/ x y) (/ x y)))))
3.0ms	(sqrt (fma (/ z t) (/ z t) (* (/ x y) (/ x y))))
3.0ms	(sqrt (fma (/ z t) (/ z t) (* (/ x y) (/ x y))))
3.0ms	(sqrt (fma (/ z t) (/ z t) (* (/ x y) (/ x y))))

series644.0ms

Counts

4 → 12

Calls

4 calls:

185.0ms	(sqrt (sqrt (fma (/ z t) (/ z t) (* (/ x y) (/ x y)))))
136.0ms	(sqrt (fma (/ z t) (/ z t) (* (/ x y) (/ x y))))
138.0ms	(sqrt (fma (/ z t) (/ z t) (* (/ x y) (/ x y))))
184.0ms	(sqrt (fma (/ z t) (/ z t) (* (/ x y) (/ x y))))

simplify2.6s

Counts

85 → 85

Iterations

Iter	Nodes
done	5004
4	2935
3	776
2	272
1	128
0	72

prune601.0ms

Pruning

15 alts after pruning (13 fresh and 2 done)

Merged error: 0.0b

regimes1.4s

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 0.6b

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	13
1	13
0	12

end0.0ms

sample1.7s

Algorithm

intervals

Results

1.3s

15390×

body

valid