Details

sample53.0ms

Algorithm

intervals

Results

21.0ms	333×	body	80	valid
3.0ms	10×	body	1280	valid
1.0ms	3×	body	640	valid
0.0ms	2×	body	320	valid
0.0ms	2×	body	160	valid

simplify3.1s

Counts

1 → 1

Iterations

Useful iterations: 4 (269.0ms)

Iter	Nodes	Cost
0	12	15
1	31	14
2	95	14
3	317	12
4	1016	11
5	2558	11
done	5000	11

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize25.0ms

Local error

Found 1 expressions with local error:

0.0b	(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))

series59.0ms

Counts

1 → 3

Calls

1 calls:

58.0ms

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

simplify2.4s

Counts

13 → 13

Iterations

Useful iterations: 3 (78.0ms)

Iter	Nodes	Cost
0	30	197
1	56	191
2	135	163
3	459	156
4	2891	156
done	5000	156

prune67.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (* 2 x) (+ y z))
0.1b	(fma y 5.0 (* (* 2 x) (+ y z)))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 35

Calls

2 calls:

41.0ms	(* (* 2 x) (+ y z))
1.0ms	(fma y 5.0 (* (* 2 x) (+ y z)))

series126.0ms

Counts

2 → 6

Calls

2 calls:

54.0ms	(* (* 2 x) (+ y z))
72.0ms	(fma y 5.0 (* (* 2 x) (+ y z)))

simplify1.2s

Counts

41 → 41

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	75	466
1	212	437
2	1355	375
done	5000	372

prune153.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma x (fma 2 (+ y z) t) (* y 5.0))
0.1b	(sqrt (fma x (fma 2 (+ y z) t) (* y 5.0)))
0.1b	(sqrt (fma x (fma 2 (+ y z) t) (* y 5.0)))
0.3b	(* (sqrt (fma x (fma 2 (+ y z) t) (* y 5.0))) (sqrt (fma x (fma 2 (+ y z) t) (* y 5.0))))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
14×	`add-cube-cbrt` `*-un-lft-identity`
10×	`sqrt-pow1` `pow1/2`
8×	`swap-sqr`
6×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube`
5×	`pow-prod-up`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square`
1×	`pow2` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod` `fma-udef`

Counts

4 → 91

Calls

4 calls:

1.0ms	(fma x (fma 2 (+ y z) t) (* y 5.0))
3.0ms	(sqrt (fma x (fma 2 (+ y z) t) (* y 5.0)))
3.0ms	(sqrt (fma x (fma 2 (+ y z) t) (* y 5.0)))
19.0ms	(* (sqrt (fma x (fma 2 (+ y z) t) (* y 5.0))) (sqrt (fma x (fma 2 (+ y z) t) (* y 5.0))))

series1.5s

Counts

4 → 12

Calls

4 calls:

74.0ms	(fma x (fma 2 (+ y z) t) (* y 5.0))
651.0ms	(sqrt (fma x (fma 2 (+ y z) t) (* y 5.0)))
648.0ms	(sqrt (fma x (fma 2 (+ y z) t) (* y 5.0)))
88.0ms	(* (sqrt (fma x (fma 2 (+ y z) t) (* y 5.0))) (sqrt (fma x (fma 2 (+ y z) t) (* y 5.0))))

simplify2.8s

Counts

103 → 103

Iterations

Useful iterations: 3 (1.1s)

Iter	Nodes	Cost
0	108	2405
1	253	1691
2	857	1521
3	4793	1426
done	5000	1426

prune448.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

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

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
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:

2.0ms	(cbrt (fma x (fma 2 (+ y z) t) (* 5.0 y)))
2.0ms	(cbrt (fma x (fma 2 (+ y z) t) (* y 5.0)))
2.0ms	(cbrt (fma x (fma 2 (+ y z) t) (* y 5.0)))
16.0ms	(* (cbrt (fma x (fma 2 (+ y z) t) (* y 5.0))) (cbrt (fma x (fma 2 (+ y z) t) (* y 5.0))))

series2.0s

Counts

4 → 12

Calls

4 calls:

433.0ms	(cbrt (fma x (fma 2 (+ y z) t) (* 5.0 y)))
457.0ms	(cbrt (fma x (fma 2 (+ y z) t) (* y 5.0)))
425.0ms	(cbrt (fma x (fma 2 (+ y z) t) (* y 5.0)))
651.0ms	(* (cbrt (fma x (fma 2 (+ y z) t) (* y 5.0))) (cbrt (fma x (fma 2 (+ y z) t) (* y 5.0))))

simplify1.0s

Counts

93 → 93

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	162	2618
1	366	2441
2	1270	2252
done	5001	1954

prune1.0s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes202.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample1.6s

Algorithm

intervals

Results

891.0ms	10509×	body	80	valid
33.0ms	57×	body	320	valid
25.0ms	94×	body	1280	valid
18.0ms	86×	body	640	valid
3.0ms	26×	body	160	valid