Details

sample62.0ms

Algorithm

intervals

Results

32.0ms	328×	body	80	valid
2.0ms	6×	body	1280	valid
1.0ms	4×	body	640	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	160	valid

simplify3.0s

Counts

1 → 1

Iterations

Useful iterations: 4 (312.0ms)

Iter	Nodes	Cost
0	12	285
1	31	220
2	88	220
3	237	220
4	632	196
5	1279	196
6	1539	196
7	1591	196
done	1591	196

prune24.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize27.0ms

Local error

Found 1 expressions with local error:

0.0b	(fma (fma 2 (+ y z) 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` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

1.0ms

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

series81.0ms

Counts

1 → 3

Calls

1 calls:

80.0ms

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

simplify3.5s

Counts

13 → 13

Iterations

Useful iterations: 3 (102.0ms)

Iter	Nodes	Cost
0	28	3176
1	48	3076
2	103	3076
3	334	2886
4	1421	2886
done	5004	2886

prune129.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize36.0ms

Local error

Found 4 expressions with local error:

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

16.0ms	(* (cbrt (fma (fma 2 (+ y z) t) x (* y 5.0))) (cbrt (fma (fma 2 (+ y z) t) x (* y 5.0))))
1.0ms	(cbrt (fma (fma 2 (+ y z) t) x (* y 5.0)))
1.0ms	(cbrt (fma (fma 2 (+ y z) t) x (* y 5.0)))
1.0ms	(cbrt (fma (fma 2 (+ y z) t) x (* y 5.0)))

series3.1s

Counts

4 → 12

Calls

4 calls:

1.5s	(* (cbrt (fma (fma 2 (+ y z) t) x (* y 5.0))) (cbrt (fma (fma 2 (+ y z) t) x (* y 5.0))))
505.0ms	(cbrt (fma (fma 2 (+ y z) t) x (* y 5.0)))
541.0ms	(cbrt (fma (fma 2 (+ y z) t) x (* y 5.0)))
559.0ms	(cbrt (fma (fma 2 (+ y z) t) x (* y 5.0)))

simplify3.4s

Counts

93 → 93

Iterations

Useful iterations: done (3.4s)

Iter	Nodes	Cost
0	159	41598
1	383	40075
2	934	39790
3	2582	38541
done	5000	38466

prune839.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize107.0ms

Local error

Found 4 expressions with local error:

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

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

10×	`cbrt-prod`
7×	`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`
1×	`pow3` `rem-cbrt-cube`

Counts

4 → 51

Calls

4 calls:

1.0ms	(cbrt (fma (fma 2 (+ y z) t) x (* y 5.0)))
1.0ms	(cbrt (fma (fma 2 (+ y z) t) x (* y 5.0)))
1.0ms	(cbrt (fma (fma 2 (+ y z) t) x (* y 5.0)))
18.0ms	(cbrt (* (* (cbrt (fma (fma 2 (+ y z) t) x (* y 5.0))) (cbrt (fma (fma 2 (+ y z) t) x (* y 5.0)))) (cbrt (fma (fma 2 (+ y z) t) x (* y 5.0)))))

series2.4s

Counts

4 → 12

Calls

4 calls:

594.0ms	(cbrt (fma (fma 2 (+ y z) t) x (* y 5.0)))
610.0ms	(cbrt (fma (fma 2 (+ y z) t) x (* y 5.0)))
657.0ms	(cbrt (fma (fma 2 (+ y z) t) x (* y 5.0)))
568.0ms	(cbrt (* (* (cbrt (fma (fma 2 (+ y z) t) x (* y 5.0))) (cbrt (fma (fma 2 (+ y z) t) x (* y 5.0)))) (cbrt (fma (fma 2 (+ y z) t) x (* y 5.0)))))

simplify3.4s

Counts

63 → 63

Iterations

Useful iterations: done (3.4s)

Iter	Nodes	Cost
0	94	30083
1	196	29539
2	440	29279
3	1197	26683
4	3986	26523
done	5000	26499

prune706.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize114.0ms

Local error

Found 4 expressions with local error:

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

rewrite4.0ms

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

series2.7s

Counts

4 → 12

Calls

4 calls:

971.0ms	(cbrt (fma (fma 2 (+ y z) t) x (* y 5.0)))
600.0ms	(cbrt (fma (fma 2 (+ y z) t) x (* y 5.0)))
521.0ms	(cbrt (fma (fma 2 (+ y z) t) x (* y 5.0)))
588.0ms	(cbrt (fma (fma 2 (+ y z) t) x (* y 5.0)))

simplify3.7s

Counts

64 → 64

Iterations

Useful iterations: 4 (2.1s)

Iter	Nodes	Cost
0	84	29632
1	185	29008
2	428	28748
3	1180	27492
4	3979	27432
done	5000	27432

prune666.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes450.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	196
1	12	196
done	12	196

end0.0ms

sample1.4s

Algorithm

intervals

Results

894.0ms	10609×	body	80	valid
32.0ms	115×	body	1280	valid
21.0ms	92×	body	640	valid
9.0ms	62×	body	320	valid
4.0ms	41×	body	160	valid