Details

sample64.0ms

Algorithm

intervals

Results

37.0ms	320×	body	80	valid
2.0ms	4×	body	640	valid
1.0ms	2×	body	1280	valid
1.0ms	3×	body	320	valid
0.0ms	1×	body	160	valid

simplify2.5s

Counts

1 → 1

Iterations

Iter	Nodes
done	1591
7	1591
6	1539
5	1279
4	632
3	237
2	88
1	31
0	12

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize29.0ms

Local error

Found 1 expressions with local error:

0.0b	(fma (fma (+ y z) 2 t) x (* y 5.0))

rewrite1.0ms

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:

1.0ms

(fma (fma (+ y z) 2 t) x (* y 5.0))

series90.0ms

Counts

1 → 3

Calls

1 calls:

90.0ms

(fma (fma (+ y z) 2 t) x (* y 5.0))

simplify1.1s

Counts

14 → 14

Iterations

Iter	Nodes
done	2011
4	1216
3	306
2	101
1	49
0	29

prune135.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize48.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (fma (fma (+ y z) 2 t) x (* y 5.0))) (cbrt (fma (fma (+ y z) 2 t) x (* y 5.0))))
0.5b	(cbrt (fma (fma (+ y z) 2 t) x (* y 5.0)))
0.5b	(cbrt (fma (fma (+ y z) 2 t) x (* y 5.0)))
0.5b	(cbrt (fma (fma (+ y z) 2 t) x (* y 5.0)))

rewrite20.0ms

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:

15.0ms	(* (cbrt (fma (fma (+ y z) 2 t) x (* y 5.0))) (cbrt (fma (fma (+ y z) 2 t) x (* y 5.0))))
1.0ms	(cbrt (fma (fma (+ y z) 2 t) x (* y 5.0)))
1.0ms	(cbrt (fma (fma (+ y z) 2 t) x (* y 5.0)))
2.0ms	(cbrt (fma (fma (+ y z) 2 t) x (* y 5.0)))

series2.7s

Counts

4 → 12

Calls

4 calls:

1.2s	(* (cbrt (fma (fma (+ y z) 2 t) x (* y 5.0))) (cbrt (fma (fma (+ y z) 2 t) x (* y 5.0))))
525.0ms	(cbrt (fma (fma (+ y z) 2 t) x (* y 5.0)))
472.0ms	(cbrt (fma (fma (+ y z) 2 t) x (* y 5.0)))
489.0ms	(cbrt (fma (fma (+ y z) 2 t) x (* y 5.0)))

simplify975.0ms

Counts

97 → 97

Iterations

Iter	Nodes
done	2001
2	935
1	386
0	161

prune576.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize56.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (fma (fma (+ y z) 2 t) x (* y 5.0)))
0.5b	(cbrt (fma (fma (+ y z) 2 t) x (* y 5.0)))
0.6b	(cbrt (* (cbrt (fma (fma (+ y z) 2 t) x (* y 5.0))) (cbrt (fma (fma (+ y z) 2 t) x (* y 5.0)))))
0.6b	(cbrt (cbrt (fma (fma (+ y z) 2 t) x (* y 5.0))))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

16×	`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` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

4 → 57

Calls

4 calls:

1.0ms	(cbrt (fma (fma (+ y z) 2 t) x (* y 5.0)))
2.0ms	(cbrt (fma (fma (+ y z) 2 t) x (* y 5.0)))
8.0ms	(cbrt (* (cbrt (fma (fma (+ y z) 2 t) x (* y 5.0))) (cbrt (fma (fma (+ y z) 2 t) x (* y 5.0)))))
2.0ms	(cbrt (cbrt (fma (fma (+ y z) 2 t) x (* y 5.0))))

series2.5s

Counts

4 → 12

Calls

4 calls:

486.0ms	(cbrt (fma (fma (+ y z) 2 t) x (* y 5.0)))
441.0ms	(cbrt (fma (fma (+ y z) 2 t) x (* y 5.0)))
1.1s	(cbrt (* (cbrt (fma (fma (+ y z) 2 t) x (* y 5.0))) (cbrt (fma (fma (+ y z) 2 t) x (* y 5.0)))))
514.0ms	(cbrt (cbrt (fma (fma (+ y z) 2 t) x (* y 5.0))))

simplify709.0ms

Counts

69 → 69

Iterations

Iter	Nodes
done	2001
2	1106
1	463
0	201

prune580.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (fma (fma (+ y z) 2 t) x (* y 5.0)) (fma (fma (+ y z) 2 t) x (* y 5.0)))
0.4b	(* (cbrt (* (fma (fma (+ y z) 2 t) x (* y 5.0)) (fma (fma (+ y z) 2 t) x (* y 5.0)))) (cbrt (fma (fma (+ y z) 2 t) x (* y 5.0))))
0.5b	(cbrt (fma (fma (+ y z) 2 t) x (* y 5.0)))
29.5b	(cbrt (* (fma (fma (+ y z) 2 t) x (* y 5.0)) (fma (fma (+ y z) 2 t) x (* y 5.0))))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
13×	`cbrt-prod` `pow1`
12×	`*-un-lft-identity` `add-cube-cbrt`
9×	`associate-r`
8×	`add-exp-log`
7×	`associate-l`
6×	`add-cbrt-cube`
5×	`unswap-sqr`
4×	`expm1-log1p-u` `pow1/3` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`swap-sqr` `pow-prod-down`
2×	`prod-exp` `*-commutative` `cbrt-unprod` `fma-udef`
1×	`pow2` `distribute-rgt-in` `distribute-lft-in` `pow-plus` `pow3` `pow-sqr` `pow-prod-up`

Counts

4 → 86

Calls

4 calls:

6.0ms	(* (fma (fma (+ y z) 2 t) x (* y 5.0)) (fma (fma (+ y z) 2 t) x (* y 5.0)))
15.0ms	(* (cbrt (* (fma (fma (+ y z) 2 t) x (* y 5.0)) (fma (fma (+ y z) 2 t) x (* y 5.0)))) (cbrt (fma (fma (+ y z) 2 t) x (* y 5.0))))
1.0ms	(cbrt (fma (fma (+ y z) 2 t) x (* y 5.0)))
3.0ms	(cbrt (* (fma (fma (+ y z) 2 t) x (* y 5.0)) (fma (fma (+ y z) 2 t) x (* y 5.0))))

series1.8s

Counts

4 → 12

Calls

4 calls:

186.0ms	(* (fma (fma (+ y z) 2 t) x (* y 5.0)) (fma (fma (+ y z) 2 t) x (* y 5.0)))
69.0ms	(* (cbrt (* (fma (fma (+ y z) 2 t) x (* y 5.0)) (fma (fma (+ y z) 2 t) x (* y 5.0)))) (cbrt (fma (fma (+ y z) 2 t) x (* y 5.0))))
463.0ms	(cbrt (fma (fma (+ y z) 2 t) x (* y 5.0)))
1.1s	(cbrt (* (fma (fma (+ y z) 2 t) x (* y 5.0)) (fma (fma (+ y z) 2 t) x (* y 5.0))))

simplify905.0ms

Counts

98 → 98

Iterations

Iter	Nodes
done	2002
2	1362
1	514
0	215

prune519.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes290.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	12
1	12
0	10

end0.0ms

sample1.6s

Algorithm

intervals

Results

1.2s	10680×	body	80	valid
38.0ms	102×	body	640	valid
29.0ms	90×	body	1280	valid
13.0ms	67×	body	320	valid
4.0ms	33×	body	160	valid