Details

sample86.0ms

Algorithm

intervals

Results

58.0ms

606×

body

valid

simplify4.7s

Counts

1 → 1

Iterations

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

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize17.0ms

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)

rewrite4.0ms

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

series258.0ms

Counts

3 → 9

Calls

3 calls:

68.0ms	(fma a a (* b b))
67.0ms	(fma 4.0 (* b b) (pow (fma a a (* b b)) 2.0))
123.0ms	(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

prune365.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.1b

localize43.0ms

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))))
15.5b	(cbrt (fma 4.0 (* b b) (pow (fma a a (* b b)) 2.0)))
15.5b	(cbrt (fma 4.0 (* b b) (pow (fma a a (* b b)) 2.0)))
15.5b	(cbrt (fma 4.0 (* b b) (pow (fma a a (* b b)) 2.0)))

rewrite17.0ms

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:

13.0ms	(* (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)))

series1.3s

Counts

4 → 12

Calls

4 calls:

300.0ms	(* (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))))
292.0ms	(cbrt (fma 4.0 (* b b) (pow (fma a a (* b b)) 2.0)))
334.0ms	(cbrt (fma 4.0 (* b b) (pow (fma a a (* b b)) 2.0)))
336.0ms	(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

prune712.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0.0b

localize148.0ms

Local error

Found 4 expressions with local error:

14.8b	(sqrt (fma 4.0 (* b b) (pow (fma a a (* b b)) 2.0)))
14.8b	(sqrt (fma 4.0 (* b b) (pow (fma a a (* b b)) 2.0)))
14.8b	(sqrt (fma 4.0 (* b b) (pow (fma a a (* b b)) 2.0)))
15.5b	(cbrt (fma 4.0 (* b b) (pow (fma a a (* b b)) 2.0)))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 58

Calls

4 calls:

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

series983.0ms

Counts

4 → 12

Calls

4 calls:

193.0ms	(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)))
250.0ms	(sqrt (fma 4.0 (* b b) (pow (fma a a (* b b)) 2.0)))
323.0ms	(cbrt (fma 4.0 (* b b) (pow (fma a a (* b b)) 2.0)))

simplify1.8s

Counts

70 → 70

Iterations

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

prune764.0ms

Pruning

13 alts after pruning (10 fresh and 3 done)

Merged error: 0.0b

localize137.0ms

Local error

Found 4 expressions with local error:

14.8b	(sqrt (fma 4.0 (* b b) (pow (fma a a (* b b)) 2.0)))
14.8b	(sqrt (fma 4.0 (* b b) (pow (fma a a (* b b)) 2.0)))
15.5b	(cbrt (fma 4.0 (* b b) (pow (fma a a (* b b)) 2.0)))
15.5b	(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)))

series1.1s

Counts

4 → 12

Calls

4 calls:

208.0ms	(sqrt (fma 4.0 (* b b) (pow (fma a a (* b b)) 2.0)))
253.0ms	(sqrt (fma 4.0 (* b b) (pow (fma a a (* b b)) 2.0)))
288.0ms	(cbrt (fma 4.0 (* b b) (pow (fma a a (* b b)) 2.0)))
303.0ms	(cbrt (fma 4.0 (* b b) (pow (fma a a (* b b)) 2.0)))

simplify2.0s

Counts

68 → 68

Iterations

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

prune676.0ms

Pruning

13 alts after pruning (9 fresh and 4 done)

Merged error: 0.0b

regimes508.0ms

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

sample2.6s

Algorithm

intervals

Results

2.1s

20397×

body

valid