Details

sample73.0ms

Algorithm

intervals

Results

34.0ms

643×

body

valid

simplify9.8s

Counts

1 → 1

Iterations

Iter	Nodes
done	5072
7	4067
6	961
5	271
4	143
3	86
2	50
1	26
0	12

prune19.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize21.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma 4.0 (* b b) (pow (fma a a (* b b)) 2.0))
0.3b	(pow (fma a a (* b b)) 2.0)

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
3×	`pow1` `pow-unpow` `unpow-prod-down` `add-exp-log`
2×	`expm1-log1p-u` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`pow-to-exp` `pow-pow` `pow-exp` `fma-udef` `sqr-pow`

Counts

2 → 31

Calls

2 calls:

1.0ms	(fma 4.0 (* b b) (pow (fma a a (* b b)) 2.0))
6.0ms	(pow (fma a a (* b b)) 2.0)

series414.0ms

Counts

2 → 6

Calls

2 calls:

142.0ms	(fma 4.0 (* b b) (pow (fma a a (* b b)) 2.0))
272.0ms	(pow (fma a a (* b b)) 2.0)

simplify5.1s

Counts

37 → 37

Iterations

Iter	Nodes
done	5000
4	2890
3	957
2	332
1	154
0	73

prune657.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize74.0ms

Local error

Found 4 expressions with local error:

0.3b	(pow (fma a a (* b b)) 2.0)
0.3b	(pow (fma a a (* b b)) 2.0)
15.3b	(sqrt (fma 4.0 (* b b) (pow (fma a a (* b b)) 2.0)))
15.3b	(sqrt (fma 4.0 (* b b) (pow (fma a a (* b b)) 2.0)))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt`
10×	`*-un-lft-identity` `add-cube-cbrt`
8×	`pow1`
6×	`pow-unpow` `unpow-prod-down` `add-exp-log` `sqrt-prod`
4×	`expm1-log1p-u` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`pow-to-exp` `rem-sqrt-square` `pow-pow` `sqrt-pow1` `pow1/2` `pow-exp` `sqr-pow`

Counts

4 → 72

Calls

4 calls:

5.0ms	(pow (fma a a (* b b)) 2.0)
4.0ms	(pow (fma a a (* b b)) 2.0)
3.0ms	(sqrt (fma 4.0 (* b b) (pow (fma a a (* b b)) 2.0)))
3.0ms	(sqrt (fma 4.0 (* b b) (pow (fma a a (* b b)) 2.0)))

series1.2s

Counts

4 → 12

Calls

4 calls:

251.0ms	(pow (fma a a (* b b)) 2.0)
251.0ms	(pow (fma a a (* b b)) 2.0)
367.0ms	(sqrt (fma 4.0 (* b b) (pow (fma a a (* b b)) 2.0)))
344.0ms	(sqrt (fma 4.0 (* b b) (pow (fma a a (* b b)) 2.0)))

simplify2.9s

Counts

84 → 84

Iterations

Iter	Nodes
done	5002
3	1441
2	465
1	180
0	86

prune1.3s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize79.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (pow (fma a a (* b b)) 2.0)) (cbrt (pow (fma a a (* b b)) 2.0)))
18.7b	(cbrt (pow (fma a a (* b b)) 2.0))
18.7b	(cbrt (pow (fma a a (* b b)) 2.0))
18.7b	(cbrt (pow (fma a a (* b b)) 2.0))

rewrite94.0ms

Algorithm

rewrite-expression-head

Rules

73×	`cbrt-prod`
46×	`add-sqr-sqrt`
29×	`unpow-prod-down`
22×	`*-un-lft-identity` `add-cube-cbrt`
16×	`unswap-sqr`
15×	`sqr-pow`
11×	`pow1`
10×	`swap-sqr` `associate-r` `associate-l`
9×	`pow1/3`
6×	`add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 121

Calls

4 calls:

67.0ms	(* (cbrt (pow (fma a a (* b b)) 2.0)) (cbrt (pow (fma a a (* b b)) 2.0)))
3.0ms	(cbrt (pow (fma a a (* b b)) 2.0))
4.0ms	(cbrt (pow (fma a a (* b b)) 2.0))
4.0ms	(cbrt (pow (fma a a (* b b)) 2.0))

series1.6s

Counts

4 → 12

Calls

4 calls:

372.0ms	(* (cbrt (pow (fma a a (* b b)) 2.0)) (cbrt (pow (fma a a (* b b)) 2.0)))
411.0ms	(cbrt (pow (fma a a (* b b)) 2.0))
427.0ms	(cbrt (pow (fma a a (* b b)) 2.0))
409.0ms	(cbrt (pow (fma a a (* b b)) 2.0))

simplify6.4s

Counts

133 → 133

Iterations

Iter	Nodes
done	5018
4	3087
3	1030
2	463
1	239
0	124

prune1.8s

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize579.0ms

Local error

Found 4 expressions with local error:

10.9b	(cbrt (sqrt (pow (fma a a (* b b)) 2.0)))
18.7b	(cbrt (pow (fma a a (* b b)) 2.0))
18.7b	(cbrt (pow (fma a a (* b b)) 2.0))
18.7b	(cbrt (pow (fma a a (* b b)) 2.0))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

31×	`cbrt-prod`
13×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
12×	`unpow-prod-down`
7×	`sqrt-prod`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp` `sqr-pow`

Counts

4 → 75

Calls

4 calls:

5.0ms	(cbrt (sqrt (pow (fma a a (* b b)) 2.0)))
3.0ms	(cbrt (pow (fma a a (* b b)) 2.0))
3.0ms	(cbrt (pow (fma a a (* b b)) 2.0))
4.0ms	(cbrt (pow (fma a a (* b b)) 2.0))

series1.8s

Counts

4 → 12

Calls

4 calls:

424.0ms	(cbrt (sqrt (pow (fma a a (* b b)) 2.0)))
495.0ms	(cbrt (pow (fma a a (* b b)) 2.0))
468.0ms	(cbrt (pow (fma a a (* b b)) 2.0))
421.0ms	(cbrt (pow (fma a a (* b b)) 2.0))

simplify3.9s

Counts

87 → 87

Iterations

Iter	Nodes
done	5000
4	1938
3	745
2	307
1	158
0	97

prune1.3s

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.0b

regimes757.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	12
0	12

end0.0ms

sample2.6s

Algorithm

intervals

Results

1.8s

20753×

body

valid