Details

sample169.0ms

Algorithm

intervals

Results

140.0ms

664×

body

valid

simplify2.5s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
4	3560
3	785
2	201
1	58
0	19

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize57.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma (* b b) (fma a -12 4) (fma (fma a a (* b b)) (fma a a (* b b)) -1))
0.0b	(fma (fma 4 a 4) (* a a) (fma (* b b) (fma a -12 4) (fma (fma a a (* b b)) (fma a a (* b b)) -1)))
0.0b	(fma a -12 4)
0.2b	(fma (fma a a (* b b)) (fma a a (* b b)) -1)

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `fma-udef` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

4 → 44

Calls

4 calls:

1.0ms	(fma (* b b) (fma a -12 4) (fma (fma a a (* b b)) (fma a a (* b b)) -1))
1.0ms	(fma (fma 4 a 4) (* a a) (fma (* b b) (fma a -12 4) (fma (fma a a (* b b)) (fma a a (* b b)) -1)))
1.0ms	(fma a -12 4)
1.0ms	(fma (fma a a (* b b)) (fma a a (* b b)) -1)

series429.0ms

Counts

4 → 12

Calls

4 calls:

111.0ms	(fma (* b b) (fma a -12 4) (fma (fma a a (* b b)) (fma a a (* b b)) -1))
177.0ms	(fma (fma 4 a 4) (* a a) (fma (* b b) (fma a -12 4) (fma (fma a a (* b b)) (fma a a (* b b)) -1)))
37.0ms	(fma a -12 4)
104.0ms	(fma (fma a a (* b b)) (fma a a (* b b)) -1)

simplify1.3s

Counts

56 → 56

Iterations

Iter	Nodes
done	5008
3	1535
2	371
1	143
0	80

prune307.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize62.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (fma (* b b) (fma a -12 4) (fma (fma a a (* b b)) (fma a a (* b b)) -1)))
0.2b	(cbrt (fma (* b b) (fma a -12 4) (fma (fma a a (* b b)) (fma a a (* b b)) -1)))
0.2b	(cbrt (fma (* b b) (fma a -12 4) (fma (fma a a (* b b)) (fma a a (* b b)) -1)))
0.2b	(* (cbrt (fma (* b b) (fma a -12 4) (fma (fma a a (* b b)) (fma a a (* b b)) -1))) (cbrt (fma (* b b) (fma a -12 4) (fma (fma a a (* b b)) (fma a a (* b b)) -1))))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 88

Calls

4 calls:

1.0ms	(cbrt (fma (* b b) (fma a -12 4) (fma (fma a a (* b b)) (fma a a (* b b)) -1)))
1.0ms	(cbrt (fma (* b b) (fma a -12 4) (fma (fma a a (* b b)) (fma a a (* b b)) -1)))
1.0ms	(cbrt (fma (* b b) (fma a -12 4) (fma (fma a a (* b b)) (fma a a (* b b)) -1)))
22.0ms	(* (cbrt (fma (* b b) (fma a -12 4) (fma (fma a a (* b b)) (fma a a (* b b)) -1))) (cbrt (fma (* b b) (fma a -12 4) (fma (fma a a (* b b)) (fma a a (* b b)) -1))))

series1.1s

Counts

4 → 12

Calls

4 calls:

245.0ms	(cbrt (fma (* b b) (fma a -12 4) (fma (fma a a (* b b)) (fma a a (* b b)) -1)))
234.0ms	(cbrt (fma (* b b) (fma a -12 4) (fma (fma a a (* b b)) (fma a a (* b b)) -1)))
305.0ms	(cbrt (fma (* b b) (fma a -12 4) (fma (fma a a (* b b)) (fma a a (* b b)) -1)))
303.0ms	(* (cbrt (fma (* b b) (fma a -12 4) (fma (fma a a (* b b)) (fma a a (* b b)) -1))) (cbrt (fma (* b b) (fma a -12 4) (fma (fma a a (* b b)) (fma a a (* b b)) -1))))

simplify1.8s

Counts

100 → 100

Iterations

Iter	Nodes
done	5001
3	1534
2	556
1	215
0	95

prune869.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize93.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (fma (* b b) (fma a -12 4) (fma (fma a a (* b b)) (fma a a (* b b)) -1))) (cbrt (fma (* b b) (fma a -12 4) (fma (fma a a (* b b)) (fma a a (* b b)) -1))))
0.2b	(* (cbrt (fma (* b b) (fma a -12 4) (fma (fma a a (* b b)) (fma a a (* b b)) -1))) (cbrt (fma (* b b) (fma a -12 4) (fma (fma a a (* b b)) (fma a a (* b b)) -1))))
0.2b	(cbrt (* (cbrt (fma (* b b) (fma a -12 4) (fma (fma a a (* b b)) (fma a a (* b b)) -1))) (cbrt (fma (* b b) (fma a -12 4) (fma (fma a a (* b b)) (fma a a (* b b)) -1)))))
0.2b	(cbrt (cbrt (fma (* b b) (fma a -12 4) (fma (fma a a (* b b)) (fma a a (* b b)) -1))))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

84×	`cbrt-prod`
55×	`add-sqr-sqrt`
31×	`*-un-lft-identity` `add-cube-cbrt`
18×	`pow1` `swap-sqr` `associate-r` `associate-l`
14×	`pow1/3`
12×	`add-cbrt-cube` `unswap-sqr`
8×	`add-exp-log` `cbrt-unprod`
4×	`expm1-log1p-u` `pow-prod-down` `pow-sqr` `pow-prod-up` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`*-commutative`
2×	`pow2` `pow-plus` `prod-exp`

Counts

4 → 147

Calls

4 calls:

12.0ms	(* (cbrt (fma (* b b) (fma a -12 4) (fma (fma a a (* b b)) (fma a a (* b b)) -1))) (cbrt (fma (* b b) (fma a -12 4) (fma (fma a a (* b b)) (fma a a (* b b)) -1))))
12.0ms	(* (cbrt (fma (* b b) (fma a -12 4) (fma (fma a a (* b b)) (fma a a (* b b)) -1))) (cbrt (fma (* b b) (fma a -12 4) (fma (fma a a (* b b)) (fma a a (* b b)) -1))))
11.0ms	(cbrt (* (cbrt (fma (* b b) (fma a -12 4) (fma (fma a a (* b b)) (fma a a (* b b)) -1))) (cbrt (fma (* b b) (fma a -12 4) (fma (fma a a (* b b)) (fma a a (* b b)) -1)))))
1.0ms	(cbrt (cbrt (fma (* b b) (fma a -12 4) (fma (fma a a (* b b)) (fma a a (* b b)) -1))))

series1.3s

Counts

4 → 12

Calls

4 calls:

347.0ms	(* (cbrt (fma (* b b) (fma a -12 4) (fma (fma a a (* b b)) (fma a a (* b b)) -1))) (cbrt (fma (* b b) (fma a -12 4) (fma (fma a a (* b b)) (fma a a (* b b)) -1))))
364.0ms	(* (cbrt (fma (* b b) (fma a -12 4) (fma (fma a a (* b b)) (fma a a (* b b)) -1))) (cbrt (fma (* b b) (fma a -12 4) (fma (fma a a (* b b)) (fma a a (* b b)) -1))))
365.0ms	(cbrt (* (cbrt (fma (* b b) (fma a -12 4) (fma (fma a a (* b b)) (fma a a (* b b)) -1))) (cbrt (fma (* b b) (fma a -12 4) (fma (fma a a (* b b)) (fma a a (* b b)) -1)))))
270.0ms	(cbrt (cbrt (fma (* b b) (fma a -12 4) (fma (fma a a (* b b)) (fma a a (* b b)) -1))))

simplify3.1s

Counts

159 → 159

Iterations

Iter	Nodes
done	5001
3	2180
2	786
1	311
0	150

prune1.2s

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 0.0b

localize111.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (cbrt (fma (* b b) (fma a -12 4) (fma (fma a a (* b b)) (fma a a (* b b)) -1))))
0.2b	(cbrt (cbrt (fma (* b b) (fma a -12 4) (fma (fma a a (* b b)) (fma a a (* b b)) -1))))
0.2b	(cbrt (cbrt (fma (* b b) (fma a -12 4) (fma (fma a a (* b b)) (fma a a (* b b)) -1))))
0.2b	(cbrt (cbrt (fma (* b b) (fma a -12 4) (fma (fma a a (* b b)) (fma a a (* b b)) -1))))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
12×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

4 → 68

Calls

4 calls:

3.0ms	(cbrt (cbrt (fma (* b b) (fma a -12 4) (fma (fma a a (* b b)) (fma a a (* b b)) -1))))
3.0ms	(cbrt (cbrt (fma (* b b) (fma a -12 4) (fma (fma a a (* b b)) (fma a a (* b b)) -1))))
3.0ms	(cbrt (cbrt (fma (* b b) (fma a -12 4) (fma (fma a a (* b b)) (fma a a (* b b)) -1))))
3.0ms	(cbrt (cbrt (fma (* b b) (fma a -12 4) (fma (fma a a (* b b)) (fma a a (* b b)) -1))))

series1.1s

Counts

4 → 12

Calls

4 calls:

258.0ms	(cbrt (cbrt (fma (* b b) (fma a -12 4) (fma (fma a a (* b b)) (fma a a (* b b)) -1))))
275.0ms	(cbrt (cbrt (fma (* b b) (fma a -12 4) (fma (fma a a (* b b)) (fma a a (* b b)) -1))))
271.0ms	(cbrt (cbrt (fma (* b b) (fma a -12 4) (fma (fma a a (* b b)) (fma a a (* b b)) -1))))
300.0ms	(cbrt (cbrt (fma (* b b) (fma a -12 4) (fma (fma a a (* b b)) (fma a a (* b b)) -1))))

simplify2.5s

Counts

80 → 80

Iterations

Iter	Nodes
done	5000
4	3389
3	867
2	275
1	109
0	59

prune857.0ms

Pruning

13 alts after pruning (10 fresh and 3 done)

Merged error: 0.0b

regimes370.0ms

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	13
0	13

end0.0ms

sample5.1s

Algorithm

intervals

Results

4.6s

20122×

body

valid