Details

sample74.0ms

Algorithm

intervals

Results

30.0ms

367×

body

valid

simplify174.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	71
4	71
3	49
2	24
1	14
0	8

prune57.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize41.0ms

Local error

Found 1 expressions with local error:

0.1b	(fma y (fma y x z) t)

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

1×	`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

1 → 11

Calls

1 calls:

3.0ms

(fma y (fma y x z) t)

series102.0ms

Counts

1 → 3

Calls

1 calls:

102.0ms

(fma y (fma y x z) t)

simplify4.3s

Counts

14 → 14

Iterations

Iter	Nodes
done	5009
4	1968
3	366
2	89
1	41
0	24

prune223.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize107.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (fma y (fma y x z) t)) (cbrt (fma y (fma y x z) t)))
0.5b	(cbrt (fma y (fma y x z) t))
0.5b	(cbrt (fma y (fma y x z) t))
0.5b	(cbrt (fma y (fma y x z) t))

rewrite58.0ms

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` `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` `cbrt-unprod`

Counts

4 → 85

Calls

4 calls:

40.0ms	(* (cbrt (fma y (fma y x z) t)) (cbrt (fma y (fma y x z) t)))
5.0ms	(cbrt (fma y (fma y x z) t))
5.0ms	(cbrt (fma y (fma y x z) t))
5.0ms	(cbrt (fma y (fma y x z) t))

series1.5s

Counts

4 → 12

Calls

4 calls:

397.0ms	(* (cbrt (fma y (fma y x z) t)) (cbrt (fma y (fma y x z) t)))
334.0ms	(cbrt (fma y (fma y x z) t))
383.0ms	(cbrt (fma y (fma y x z) t))
366.0ms	(cbrt (fma y (fma y x z) t))

simplify7.0s

Counts

97 → 97

Iterations

Iter	Nodes
done	5000
4	3832
3	1124
2	453
1	193
0	89

prune1.5s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize192.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (cbrt (fma y (fma y x z) t)))
0.5b	(cbrt (cbrt (fma y (fma y x z) t)))
0.5b	(cbrt (cbrt (fma y (fma y x z) t)))
0.6b	(* (cbrt (cbrt (fma y (fma y x z) t))) (cbrt (cbrt (fma y (fma y x z) t))))

rewrite108.0ms

Algorithm

rewrite-expression-head

Rules

81×	`cbrt-prod`
40×	`add-sqr-sqrt`
22×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3` `swap-sqr` `associate-r` `associate-l` `unswap-sqr`
6×	`add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `insert-posit16` `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 → 108

Calls

4 calls:

7.0ms	(cbrt (cbrt (fma y (fma y x z) t)))
7.0ms	(cbrt (cbrt (fma y (fma y x z) t)))
7.0ms	(cbrt (cbrt (fma y (fma y x z) t)))
73.0ms	(* (cbrt (cbrt (fma y (fma y x z) t))) (cbrt (cbrt (fma y (fma y x z) t))))

series1.4s

Counts

4 → 12

Calls

4 calls:

364.0ms	(cbrt (cbrt (fma y (fma y x z) t)))
377.0ms	(cbrt (cbrt (fma y (fma y x z) t)))
321.0ms	(cbrt (cbrt (fma y (fma y x z) t)))
328.0ms	(* (cbrt (cbrt (fma y (fma y x z) t))) (cbrt (cbrt (fma y (fma y x z) t))))

simplify6.7s

Counts

120 → 120

Iterations

Iter	Nodes
done	5001
4	3471
3	1148
2	503
1	217
0	108

prune2.0s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize328.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (cbrt (fma y (fma y x z) t)))
0.5b	(cbrt (cbrt (fma y (fma y x z) t)))
0.5b	(cbrt (cbrt (fma y (fma y x z) t)))
0.6b	(* (* (cbrt (cbrt (* (cbrt (fma y (fma y x z) t)) (cbrt (fma y (fma y x z) t))))) (cbrt (cbrt (cbrt (fma y (fma y x z) t))))) (cbrt (cbrt (fma y (fma y x z) t))))

rewrite207.0ms

Algorithm

rewrite-expression-head

Rules

38×	`cbrt-prod`
14×	`add-cube-cbrt`
13×	`add-sqr-sqrt` `*-un-lft-identity`
9×	`pow1` `associate-r` `add-exp-log`
6×	`pow1/3`
5×	`add-cbrt-cube` `pow-prod-down`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`prod-exp` `cbrt-unprod`
1×	`swap-sqr` `associate-l` `*-commutative`

Counts

4 → 80

Calls

4 calls:

4.0ms	(cbrt (cbrt (fma y (fma y x z) t)))
4.0ms	(cbrt (cbrt (fma y (fma y x z) t)))
4.0ms	(cbrt (cbrt (fma y (fma y x z) t)))
193.0ms	(* (* (cbrt (cbrt (* (cbrt (fma y (fma y x z) t)) (cbrt (fma y (fma y x z) t))))) (cbrt (cbrt (cbrt (fma y (fma y x z) t))))) (cbrt (cbrt (fma y (fma y x z) t))))

series1.6s

Counts

4 → 12

Calls

4 calls:

344.0ms	(cbrt (cbrt (fma y (fma y x z) t)))
368.0ms	(cbrt (cbrt (fma y (fma y x z) t)))
419.0ms	(cbrt (cbrt (fma y (fma y x z) t)))
488.0ms	(* (* (cbrt (cbrt (* (cbrt (fma y (fma y x z) t)) (cbrt (fma y (fma y x z) t))))) (cbrt (cbrt (cbrt (fma y (fma y x z) t))))) (cbrt (cbrt (fma y (fma y x z) t))))

simplify9.1s

Counts

92 → 92

Iterations

Iter	Nodes
done	5000
4	4581
3	1690
2	625
1	232
0	100

prune1.8s

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes1.2s

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	6
0	6

end0.0ms

sample1.8s

Algorithm

intervals

Results

992.0ms

11335×

body

valid