Details

sample92.0ms

Algorithm

intervals

Results

59.0ms

673×

body

valid

simplify4.7s

Counts

1 → 1

Iterations

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

prune19.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize32.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma a a (* b b))
0.0b	(fma 4.0 (* b b) (pow (fma a a (* b b)) 2.0))
0.4b	(pow (fma a a (* b b)) 2.0)

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 39

Calls

3 calls:

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

series316.0ms

Counts

3 → 9

Calls

3 calls:

55.0ms	(fma a a (* b b))
72.0ms	(fma 4.0 (* b b) (pow (fma a a (* b b)) 2.0))
188.0ms	(pow (fma a a (* b b)) 2.0)

simplify2.6s

Counts

48 → 48

Iterations

Iter	Nodes
done	5002
3	2278
2	523
1	167
0	78

prune345.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize77.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (fma 4.0 (* b b) (pow (fma a a (* b b)) 2.0))) (cbrt (fma 4.0 (* b b) (pow (fma a a (* b b)) 2.0))))
14.3b	(cbrt (fma 4.0 (* b b) (pow (fma a a (* b b)) 2.0)))
14.3b	(cbrt (fma 4.0 (* b b) (pow (fma a a (* b b)) 2.0)))
14.3b	(cbrt (fma 4.0 (* b b) (pow (fma a a (* b b)) 2.0)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 81

Calls

4 calls:

18.0ms	(* (cbrt (fma 4.0 (* b b) (pow (fma a a (* b b)) 2.0))) (cbrt (fma 4.0 (* b b) (pow (fma a a (* b b)) 2.0))))
1.0ms	(cbrt (fma 4.0 (* b b) (pow (fma a a (* b b)) 2.0)))
1.0ms	(cbrt (fma 4.0 (* b b) (pow (fma a a (* b b)) 2.0)))
1.0ms	(cbrt (fma 4.0 (* b b) (pow (fma a a (* b b)) 2.0)))

series1.2s

Counts

4 → 12

Calls

4 calls:

295.0ms	(* (cbrt (fma 4.0 (* b b) (pow (fma a a (* b b)) 2.0))) (cbrt (fma 4.0 (* b b) (pow (fma a a (* b b)) 2.0))))
285.0ms	(cbrt (fma 4.0 (* b b) (pow (fma a a (* b b)) 2.0)))
297.0ms	(cbrt (fma 4.0 (* b b) (pow (fma a a (* b b)) 2.0)))
330.0ms	(cbrt (fma 4.0 (* b b) (pow (fma a a (* b b)) 2.0)))

simplify5.4s

Counts

93 → 93

Iterations

Iter	Nodes
done	5001
3	4689
2	805
1	228
0	105

prune655.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0.0b

localize91.0ms

Local error

Found 4 expressions with local error:

13.6b	(sqrt (fma 4.0 (* b b) (pow (fma a a (* b b)) 2.0)))
13.6b	(sqrt (fma 4.0 (* b b) (pow (fma a a (* b b)) 2.0)))
14.3b	(cbrt (fma 4.0 (* b b) (pow (fma a a (* b b)) 2.0)))
14.3b	(cbrt (fma 4.0 (* b b) (pow (fma a a (* b b)) 2.0)))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
8×	`*-un-lft-identity` `add-cube-cbrt`
6×	`cbrt-prod` `pow1` `sqrt-prod`
4×	`expm1-log1p-u` `add-cbrt-cube` `add-exp-log` `log1p-expm1-u` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `pow1/3`

Counts

4 → 56

Calls

4 calls:

1.0ms	(sqrt (fma 4.0 (* b b) (pow (fma a a (* b b)) 2.0)))
1.0ms	(sqrt (fma 4.0 (* b b) (pow (fma a a (* b b)) 2.0)))
1.0ms	(cbrt (fma 4.0 (* b b) (pow (fma a a (* b b)) 2.0)))
1.0ms	(cbrt (fma 4.0 (* b b) (pow (fma a a (* b b)) 2.0)))

series945.0ms

Counts

4 → 12

Calls

4 calls:

234.0ms	(sqrt (fma 4.0 (* b b) (pow (fma a a (* b b)) 2.0)))
193.0ms	(sqrt (fma 4.0 (* b b) (pow (fma a a (* b b)) 2.0)))
232.0ms	(cbrt (fma 4.0 (* b b) (pow (fma a a (* b b)) 2.0)))
286.0ms	(cbrt (fma 4.0 (* b b) (pow (fma a a (* b b)) 2.0)))

simplify1.5s

Counts

68 → 68

Iterations

Iter	Nodes
done	5001
3	1693
2	437
1	164
0	80

prune627.0ms

Pruning

15 alts after pruning (13 fresh and 2 done)

Merged error: 0.0b

localize131.0ms

Local error

Found 4 expressions with local error:

13.6b	(sqrt (fma 4.0 (* b b) (pow (fma a a (* b b)) 2.0)))
13.6b	(sqrt (fma 4.0 (* b b) (pow (fma a a (* b b)) 2.0)))
14.3b	(cbrt (fma 4.0 (* b b) (pow (fma a a (* b b)) 2.0)))
14.3b	(cbrt (fma 4.0 (* b b) (pow (fma a a (* b b)) 2.0)))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
8×	`*-un-lft-identity` `add-cube-cbrt`
6×	`cbrt-prod` `pow1` `sqrt-prod`
4×	`expm1-log1p-u` `add-cbrt-cube` `add-exp-log` `log1p-expm1-u` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `pow1/3`

Counts

4 → 56

Calls

4 calls:

1.0ms	(sqrt (fma 4.0 (* b b) (pow (fma a a (* b b)) 2.0)))
1.0ms	(sqrt (fma 4.0 (* b b) (pow (fma a a (* b b)) 2.0)))
1.0ms	(cbrt (fma 4.0 (* b b) (pow (fma a a (* b b)) 2.0)))
1.0ms	(cbrt (fma 4.0 (* b b) (pow (fma a a (* b b)) 2.0)))

series916.0ms

Counts

4 → 12

Calls

4 calls:

228.0ms	(sqrt (fma 4.0 (* b b) (pow (fma a a (* b b)) 2.0)))
217.0ms	(sqrt (fma 4.0 (* b b) (pow (fma a a (* b b)) 2.0)))
235.0ms	(cbrt (fma 4.0 (* b b) (pow (fma a a (* b b)) 2.0)))
236.0ms	(cbrt (fma 4.0 (* b b) (pow (fma a a (* b b)) 2.0)))

simplify1.5s

Counts

68 → 68

Iterations

Iter	Nodes
done	5001
3	1693
2	437
1	164
0	80

prune656.0ms

Pruning

15 alts after pruning (12 fresh and 3 done)

Merged error: 0.0b

regimes484.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	10
0	10

end0.0ms

sample2.5s

Algorithm

intervals

Results

2.0s

20710×

body

valid