Details

sample61.0ms

Algorithm

intervals

Results

34.0ms

640×

body

valid

simplify3.6s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
6	3761
5	474
4	154
3	87
2	50
1	26
0	12

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize23.0ms

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)

rewrite4.0ms

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` `log1p-expm1-u` `add-log-exp`
1×	`pow-to-exp` `pow-pow` `pow-exp` `fma-udef` `sqr-pow`

Counts

2 → 29

Calls

2 calls:

0.0ms	(fma (* 4.0 b) b (pow (fma a a (* b b)) 2.0))
3.0ms	(pow (fma a a (* b b)) 2.0)

series244.0ms

Counts

2 → 6

Calls

2 calls:

84.0ms	(fma (* 4.0 b) b (pow (fma a a (* b b)) 2.0))
160.0ms	(pow (fma a a (* b b)) 2.0)

simplify1.7s

Counts

35 → 35

Iterations

Iter	Nodes
done	5000
3	1918
2	473
1	160
0	72

prune254.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize38.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (pow (fma b b (* a a)) 2.0)) (cbrt (pow (fma b b (* a a)) 2.0)))
18.4b	(cbrt (pow (fma b b (* a a)) 2.0))
18.4b	(cbrt (pow (fma b b (* a a)) 2.0))
18.4b	(cbrt (pow (fma b b (* a a)) 2.0))

rewrite32.0ms

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` `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 → 117

Calls

4 calls:

23.0ms	(* (cbrt (pow (fma b b (* a a)) 2.0)) (cbrt (pow (fma b b (* a a)) 2.0)))
2.0ms	(cbrt (pow (fma b b (* a a)) 2.0))
2.0ms	(cbrt (pow (fma b b (* a a)) 2.0))
2.0ms	(cbrt (pow (fma b b (* a a)) 2.0))

series690.0ms

Counts

4 → 12

Calls

4 calls:

163.0ms	(* (cbrt (pow (fma b b (* a a)) 2.0)) (cbrt (pow (fma b b (* a a)) 2.0)))
185.0ms	(cbrt (pow (fma b b (* a a)) 2.0))
163.0ms	(cbrt (pow (fma b b (* a a)) 2.0))
179.0ms	(cbrt (pow (fma b b (* a a)) 2.0))

simplify617.0ms

Counts

129 → 129

Iterations

Iter	Nodes
done	5001
2	994
1	242
0	122

prune997.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize40.0ms

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)))
18.4b	(cbrt (pow (fma b b (* a a)) 2.0))
18.4b	(cbrt (pow (fma a a (* b b)) 2.0))
18.4b	(cbrt (pow (fma a a (* b b)) 2.0))

rewrite38.0ms

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` `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 → 117

Calls

4 calls:

28.0ms	(* (cbrt (pow (fma a a (* b b)) 2.0)) (cbrt (pow (fma a a (* b b)) 2.0)))
2.0ms	(cbrt (pow (fma b b (* a a)) 2.0))
2.0ms	(cbrt (pow (fma a a (* b b)) 2.0))
2.0ms	(cbrt (pow (fma a a (* b b)) 2.0))

series703.0ms

Counts

4 → 12

Calls

4 calls:

173.0ms	(* (cbrt (pow (fma a a (* b b)) 2.0)) (cbrt (pow (fma a a (* b b)) 2.0)))
176.0ms	(cbrt (pow (fma b b (* a a)) 2.0))
174.0ms	(cbrt (pow (fma a a (* b b)) 2.0))
180.0ms	(cbrt (pow (fma a a (* b b)) 2.0))

simplify884.0ms

Counts

129 → 129

Iterations

Iter	Nodes
done	5001
2	1198
1	321
0	164

prune1.2s

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

localize107.0ms

Local error

Found 4 expressions with local error:

18.4b	(cbrt (pow (fma a a (* b b)) 2.0))
18.4b	(cbrt (pow (fma a a (* b b)) 2.0))
18.4b	(cbrt (pow (fma a a (* b b)) 2.0))
18.4b	(cbrt (pow (fma a a (* b b)) 2.0))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 68

Calls

4 calls:

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

series940.0ms

Counts

4 → 12

Calls

4 calls:

218.0ms	(cbrt (pow (fma a a (* b b)) 2.0))
225.0ms	(cbrt (pow (fma a a (* b b)) 2.0))
271.0ms	(cbrt (pow (fma a a (* b b)) 2.0))
224.0ms	(cbrt (pow (fma a a (* b b)) 2.0))

simplify1.3s

Counts

80 → 80

Iterations

Iter	Nodes
done	5001
4	2776
3	657
2	228
1	105
0	58

prune847.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

regimes215.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	12
1	12
0	11

end0.0ms

sample3.0s

Algorithm

intervals

Results

2.2s

20149×

body

valid