Details

sample70.0ms

Algorithm

intervals

Results

18.0ms	256×	body	80	valid
18.0ms	251×	body	80	nan

simplify88.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (12.0ms)

Iter	Nodes	Cost
0	11	14
1	22	12
2	44	11
3	63	11
4	67	11
5	68	11
done	68	11

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 19.9b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(* x (+ y z))
1.0b	(fma y z (* x (+ y z)))
18.8b	(sqrt (fma y z (* x (+ y z))))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 50

Calls

3 calls:

40.0ms	(* x (+ y z))
0.0ms	(fma y z (* x (+ y z)))
3.0ms	(sqrt (fma y z (* x (+ y z))))

series216.0ms

Counts

3 → 9

Calls

3 calls:

29.0ms	(* x (+ y z))
25.0ms	(fma y z (* x (+ y z)))
162.0ms	(sqrt (fma y z (* x (+ y z))))

simplify1.7s

Counts

59 → 59

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	91	581
1	220	532
2	621	483
3	2012	479
done	5000	478

prune271.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 19.8b

localize17.0ms

Local error

Found 2 expressions with local error:

0.8b	(fma x z (* y (+ z x)))
18.8b	(sqrt (fma x z (* y (+ z x))))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt`
3×	`pow1` `add-cube-cbrt` `*-un-lft-identity` `sqrt-prod`
2×	`add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `fma-udef`

Counts

2 → 25

Calls

2 calls:

0.0ms	(fma x z (* y (+ z x)))
3.0ms	(sqrt (fma x z (* y (+ z x))))

series196.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(fma x z (* y (+ z x)))
163.0ms	(sqrt (fma x z (* y (+ z x))))

simplify1.4s

Counts

31 → 31

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	50	375
1	103	337
2	261	308
3	990	304
done	5000	301

prune132.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 19.8b

localize22.0ms

Local error

Found 4 expressions with local error:

0.8b	(fma x z (* y (+ z x)))
0.8b	(fma x z (* y (+ z x)))
18.8b	(sqrt (fma x z (* y (+ z x))))
18.8b	(sqrt (fma x z (* y (+ z x))))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`pow1` `add-cube-cbrt` `*-un-lft-identity` `sqrt-prod`
4×	`add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `fma-udef`

Counts

4 → 50

Calls

4 calls:

0.0ms	(fma x z (* y (+ z x)))
0.0ms	(fma x z (* y (+ z x)))
2.0ms	(sqrt (fma x z (* y (+ z x))))
2.0ms	(sqrt (fma x z (* y (+ z x))))

series350.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(fma x z (* y (+ z x)))
25.0ms	(fma x z (* y (+ z x)))
135.0ms	(sqrt (fma x z (* y (+ z x))))
164.0ms	(sqrt (fma x z (* y (+ z x))))

simplify1.4s

Counts

62 → 62

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	50	750
1	103	674
2	261	616
3	990	608
done	5000	602

prune304.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 19.8b

localize24.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ y z))
0.5b	(cbrt (+ y z))
1.0b	(fma y z (* (* x (* (cbrt (+ y z)) (cbrt (+ y z)))) (cbrt (+ y z))))
18.8b	(sqrt (fma y z (* (* x (* (cbrt (+ y z)) (cbrt (+ y z)))) (cbrt (+ y z)))))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

11×	`*-un-lft-identity`
8×	`cbrt-prod` `add-sqr-sqrt`
7×	`add-cube-cbrt`
5×	`pow1`
4×	`add-exp-log` `expm1-log1p-u` `cbrt-div` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`sqrt-prod`
2×	`flip3-+` `pow1/3` `flip-+` `distribute-lft-out`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `fma-udef`

Counts

4 → 57

Calls

4 calls:

4.0ms	(cbrt (+ y z))
4.0ms	(cbrt (+ y z))
0.0ms	(fma y z (* (* x (* (cbrt (+ y z)) (cbrt (+ y z)))) (cbrt (+ y z))))
2.0ms	(sqrt (fma y z (* (* x (* (cbrt (+ y z)) (cbrt (+ y z)))) (cbrt (+ y z)))))

series567.0ms

Counts

4 → 12

Calls

4 calls:

174.0ms	(cbrt (+ y z))
161.0ms	(cbrt (+ y z))
51.0ms	(fma y z (* (* x (* (cbrt (+ y z)) (cbrt (+ y z)))) (cbrt (+ y z))))
181.0ms	(sqrt (fma y z (* (* x (* (cbrt (+ y z)) (cbrt (+ y z)))) (cbrt (+ y z)))))

simplify3.2s

Counts

69 → 69

Iterations

Useful iterations: 4 (1.7s)

Iter	Nodes	Cost
0	105	1047
1	232	965
2	530	687
3	1369	600
4	4267	593
done	5000	593

prune348.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 19.7b

regimes181.0ms

Accuracy

0% (0.1b remaining)

Error of 20.2b against oracle of 20.1b and baseline of 20.2b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	11
1	12	11
done	12	11

end0.0ms

sample2.5s

Algorithm

intervals

Results

1.0s	8000×	body	80	valid
684.0ms	7780×	body	80	nan