Details

sample74.0ms

Algorithm

intervals

Results

44.0ms

619×

body

valid

simplify4.9s

Counts

1 → 1

Iterations

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

prune18.0ms

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

rewrite12.0ms

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))
10.0ms	(pow (fma a a (* b b)) 2.0)

series302.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(fma a a (* b b))
90.0ms	(fma 4.0 (* b b) (pow (fma a a (* b b)) 2.0))
165.0ms	(pow (fma a a (* b b)) 2.0)

simplify2.9s

Counts

48 → 48

Iterations

Iter	Nodes
done	5003
4	3639
3	1121
2	366
1	159
0	78

prune312.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.1b

localize56.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (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))))
13.9b	(cbrt (fma 4.0 (* b b) (pow (fma a a (* b b)) 2.0)))
13.9b	(cbrt (fma 4.0 (* b b) (pow (fma a a (* b b)) 2.0)))
13.9b	(cbrt (fma 4.0 (* b b) (pow (fma a a (* b b)) 2.0)))

rewrite27.0ms

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:

17.0ms	(* (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))))
2.0ms	(cbrt (fma 4.0 (* b b) (pow (fma a a (* b b)) 2.0)))
5.0ms	(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)))

series1.1s

Counts

4 → 12

Calls

4 calls:

297.0ms	(* (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))))
293.0ms	(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)))
268.0ms	(cbrt (fma 4.0 (* b b) (pow (fma a a (* b b)) 2.0)))

simplify2.0s

Counts

93 → 93

Iterations

Iter	Nodes
done	5002
3	1436
2	535
1	226
0	105

prune760.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 0.0b

localize116.0ms

Local error

Found 4 expressions with local error:

13.2b	(sqrt (fma 4.0 (* b b) (pow (fma a a (* b b)) 2.0)))
13.2b	(sqrt (fma 4.0 (* b b) (pow (fma a a (* b b)) 2.0)))
13.9b	(cbrt (fma 4.0 (* b b) (pow (fma a a (* b b)) 2.0)))
13.9b	(cbrt (fma 4.0 (* b b) (pow (fma a a (* b b)) 2.0)))

rewrite6.0ms

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

series1.1s

Counts

4 → 12

Calls

4 calls:

215.0ms	(sqrt (fma 4.0 (* b b) (pow (fma a a (* b b)) 2.0)))
238.0ms	(sqrt (fma 4.0 (* b b) (pow (fma a a (* b b)) 2.0)))
320.0ms	(cbrt (fma 4.0 (* b b) (pow (fma a a (* b b)) 2.0)))
321.0ms	(cbrt (fma 4.0 (* b b) (pow (fma a a (* b b)) 2.0)))

simplify2.4s

Counts

68 → 68

Iterations

Iter	Nodes
done	5000
3	1362
2	429
1	164
0	80

prune704.0ms

Pruning

14 alts after pruning (12 fresh and 2 done)

Merged error: 0.0b

localize177.0ms

Local error

Found 4 expressions with local error:

13.9b	(cbrt (fma 4.0 (* b b) (pow (fma a a (* b b)) 2.0)))
13.9b	(cbrt (fma 4.0 (* b b) (pow (fma a a (* b b)) 2.0)))
13.9b	(cbrt (fma 4.0 (* b b) (pow (fma a a (* b b)) 2.0)))
13.9b	(cbrt (fma 4.0 (* b b) (pow (fma a a (* b b)) 2.0)))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `*-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`

Counts

4 → 52

Calls

4 calls:

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

series1.1s

Counts

4 → 12

Calls

4 calls:

276.0ms	(cbrt (fma 4.0 (* b b) (pow (fma a a (* b b)) 2.0)))
299.0ms	(cbrt (fma 4.0 (* b b) (pow (fma a a (* b b)) 2.0)))
276.0ms	(cbrt (fma 4.0 (* b b) (pow (fma a a (* b b)) 2.0)))
258.0ms	(cbrt (fma 4.0 (* b b) (pow (fma a a (* b b)) 2.0)))

simplify2.4s

Counts

64 → 64

Iterations

Iter	Nodes
done	5002
4	2505
3	702
2	241
1	109
0	54

prune625.0ms

Pruning

15 alts after pruning (12 fresh and 3 done)

Merged error: 0.0b

regimes584.0ms

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

sample2.9s

Algorithm

intervals

Results

2.1s

20448×

body

valid