Details

sample57.0ms

Algorithm

intervals

Results

25.0ms	346×	body	80	valid
1.0ms	6×	body	640	valid
0.0ms	4×	body	160	valid
0.0ms	1×	body	1280	valid

simplify3.5s

Counts

1 → 1

Iterations

Useful iterations: 4 (330.0ms)

Iter	Nodes	Cost
0	12	15
1	31	14
2	89	14
3	280	12
4	744	11
5	1269	11
6	1442	11
7	1456	11
done	1456	11

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize11.0ms

Local error

Found 1 expressions with local error:

0.3b	(fma x (fma 2 (+ y z) t) (* y 5.0))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 10

Calls

1 calls:

0.0ms

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

series61.0ms

Counts

1 → 3

Calls

1 calls:

61.0ms

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

simplify1.2s

Counts

13 → 13

Iterations

Useful iterations: 3 (69.0ms)

Iter	Nodes	Cost
0	30	197
1	56	191
2	133	163
3	378	156
4	1341	156
done	5000	156

prune47.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.3b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma y 5.0 (* (* 2 (+ y z)) x))
0.3b	(* (* 2 (+ y z)) x)

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-r*` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `associate-r/` `associate-l/` `log1p-expm1-u` `add-log-exp`
1×	`flip3-+` `associate-l` `*-commutative` `flip-+` `fma-udef`

Counts

2 → 32

Calls

2 calls:

0.0ms	(fma y 5.0 (* (* 2 (+ y z)) x))
75.0ms	(* (* 2 (+ y z)) x)

series79.0ms

Counts

2 → 6

Calls

2 calls:

44.0ms	(fma y 5.0 (* (* 2 (+ y z)) x))
35.0ms	(* (* 2 (+ y z)) x)

simplify4.1s

Counts

38 → 38

Iterations

Useful iterations: 2 (233.0ms)

Iter	Nodes	Cost
0	74	431
1	199	410
2	840	341
3	3899	341
done	5001	341

prune182.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-l` `add-cbrt-cube`
3×	`associate-r`
2×	`expm1-log1p-u` `associate-*l/` `log1p-expm1-u` `add-log-exp`
1×	`flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `fma-udef` `distribute-lft-out` `unswap-sqr`

Counts

2 → 33

Calls

2 calls:

25.0ms	(* (+ z y) x)
0.0ms	(fma y 5.0 (* 2 (* (+ z y) x)))

series90.0ms

Counts

2 → 6

Calls

2 calls:

26.0ms	(* (+ z y) x)
64.0ms	(fma y 5.0 (* 2 (* (+ z y) x)))

simplify1.9s

Counts

39 → 39

Iterations

Useful iterations: 3 (781.0ms)

Iter	Nodes	Cost
0	66	370
1	145	357
2	499	312
3	1768	308
done	5000	308

prune146.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.3b	(pow (fma x (fma 2 (+ y z) t) (* y 5.0)) 3)
0.3b	(fma x (fma 2 (+ y z) t) (* y 5.0))
40.2b	(cbrt (pow (fma x (fma 2 (+ y z) t) (* y 5.0)) 3))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`unpow-prod-down` `cube-prod`
4×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`expm1-log1p-u` `pow-unpow` `log1p-expm1-u` `add-log-exp`
2×	`cube-mult` `unpow3` `sqr-pow`
1×	`pow-to-exp` `pow-pow` `pow1/3` `pow-exp` `rem-cbrt-cube` `fma-udef` `rem-cube-cbrt`

Counts

3 → 58

Calls

3 calls:

3.0ms	(pow (fma x (fma 2 (+ y z) t) (* y 5.0)) 3)
0.0ms	(fma x (fma 2 (+ y z) t) (* y 5.0))
3.0ms	(cbrt (pow (fma x (fma 2 (+ y z) t) (* y 5.0)) 3))

series840.0ms

Counts

3 → 9

Calls

3 calls:

672.0ms	(pow (fma x (fma 2 (+ y z) t) (* y 5.0)) 3)
74.0ms	(fma x (fma 2 (+ y z) t) (* y 5.0))
95.0ms	(cbrt (pow (fma x (fma 2 (+ y z) t) (* y 5.0)) 3))

simplify3.6s

Counts

67 → 67

Iterations

Useful iterations: 3 (1.1s)

Iter	Nodes	Cost
0	98	1373
1	224	1167
2	692	1004
3	4001	980
done	5001	980

prune227.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes145.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	11
1	12	11
done	12	11

end0.0ms

sample1.1s

Algorithm

intervals

Results

492.0ms	10583×	body	80	valid
17.0ms	99×	body	640	valid
14.0ms	70×	body	1280	valid
9.0ms	66×	body	320	valid
3.0ms	42×	body	160	valid