Details

sample52.0ms

Algorithm

intervals

Results

25.0ms

348×

body

valid

simplify10.6s

Counts

1 → 1

Iterations

Useful iterations: 3 (13.0ms)

Iter	Nodes	Cost
0	8	9
1	14	9
2	25	9
3	48	8
4	95	8
5	137	8
6	178	8
7	218	8
8	267	8
9	372	8
10	467	8
11	526	8
12	585	8
13	630	8
14	668	8
15	797	8
16	935	8
17	1249	8
18	1736	8
19	2348	8
20	2517	8
21	2524	8
done	2524	8

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 1 expressions with local error:

2.0b	(fma (/ y t) (- z x) x)

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:

1.0ms

(fma (/ y t) (- z x) x)

series49.0ms

Counts

1 → 3

Calls

1 calls:

49.0ms

(fma (/ y t) (- z x) x)

simplify1.2s

Counts

13 → 13

Iterations

Useful iterations: 3 (73.0ms)

Iter	Nodes	Cost
0	23	154
1	40	154
2	93	138
3	266	123
4	1166	123
done	5000	123

prune53.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (fma (/ y t) (- z x) x))
2.0b	(fma (/ y t) (- z x) x)
2.0b	(fma (/ y t) (- z x) x)
2.0b	(fma (/ y t) (- z x) x)

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 43

Calls

4 calls:

1.0ms	(cbrt (fma (/ y t) (- z x) x))
0.0ms	(fma (/ y t) (- z x) x)
0.0ms	(fma (/ y t) (- z x) x)
0.0ms	(fma (/ y t) (- z x) x)

series435.0ms

Counts

4 → 12

Calls

4 calls:

286.0ms	(cbrt (fma (/ y t) (- z x) x))
38.0ms	(fma (/ y t) (- z x) x)
63.0ms	(fma (/ y t) (- z x) x)
47.0ms	(fma (/ y t) (- z x) x)

simplify2.6s

Counts

55 → 55

Iterations

Useful iterations: 4 (1.4s)

Iter	Nodes	Cost
0	60	683
1	117	678
2	286	611
3	923	559
4	3682	548
done	5000	548

prune237.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

2.0b	(fma (/ y t) (- z x) x)
2.0b	(fma (/ y t) (- z x) x)
2.0b	(fma (/ y t) (- z x) x)
2.0b	(fma (/ y t) (- z x) x)

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

4×	`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

4 → 40

Calls

4 calls:

0.0ms	(fma (/ y t) (- z x) x)
0.0ms	(fma (/ y t) (- z x) x)
0.0ms	(fma (/ y t) (- z x) x)
0.0ms	(fma (/ y t) (- z x) x)

series183.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(fma (/ y t) (- z x) x)
54.0ms	(fma (/ y t) (- z x) x)
48.0ms	(fma (/ y t) (- z x) x)
46.0ms	(fma (/ y t) (- z x) x)

simplify1.3s

Counts

52 → 52

Iterations

Useful iterations: 3 (266.0ms)

Iter	Nodes	Cost
0	23	616
1	40	616
2	93	552
3	266	492
4	1166	492
done	5000	492

prune337.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

2.0b	(fma (/ y t) (- z x) x)
2.0b	(fma (/ y t) (- z x) x)
2.0b	(fma (/ y t) (- z x) x)
2.0b	(fma (/ y t) (- z x) x)

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

4×	`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

4 → 40

Calls

4 calls:

1.0ms	(fma (/ y t) (- z x) x)
0.0ms	(fma (/ y t) (- z x) x)
0.0ms	(fma (/ y t) (- z x) x)
0.0ms	(fma (/ y t) (- z x) x)

series223.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(fma (/ y t) (- z x) x)
58.0ms	(fma (/ y t) (- z x) x)
67.0ms	(fma (/ y t) (- z x) x)
55.0ms	(fma (/ y t) (- z x) x)

simplify1.0s

Counts

52 → 52

Iterations

Useful iterations: 3 (60.0ms)

Iter	Nodes	Cost
0	23	616
1	40	616
2	93	552
3	266	492
4	1166	492
done	5000	492

prune236.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0.0b

regimes237.0ms

Accuracy

-1.9% (2.0b remaining)

Error of 2.1b against oracle of 0.0b and baseline of 2.0b

bsearch67.0ms

Steps

Iters	Range		Point
9	1.7229583111139132e-128	8.739169760442417e-122	8.301025463282563e-126
7	1.180213988370613e-240	5.81909042106741e-239	3.926176551076474e-240

simplify2.0ms

Iterations

Useful iterations: 1 (1.0ms)

Iter	Nodes	Cost
0	16	33
1	21	26
done	21	26

end0.0ms

sample1.0s

Algorithm

intervals

Results

430.0ms

10688×

body

valid