Details

sample20.0ms

Algorithm

intervals

Results

8.0ms

337×

body

valid

simplify6.1s

Counts

1 → 1

Iterations

Useful iterations: 2 (4.0ms)

Iter	Nodes	Cost
0	8	9
1	14	9
2	26	8
3	56	8
4	98	8
5	140	8
6	178	8
7	212	8
8	255	8
9	341	8
10	451	8
11	514	8
12	581	8
13	626	8
14	666	8
15	766	8
16	1026	8
17	1343	8
18	1935	8
19	2473	8
20	2570	8
21	2576	8
done	2576	8

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.7b

localize7.0ms

Local error

Found 1 expressions with local error:

2.6b	(fma (- y x) (/ z t) 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:

0.0ms

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

series37.0ms

Counts

1 → 3

Calls

1 calls:

37.0ms

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

simplify783.0ms

Counts

13 → 13

Iterations

Useful iterations: 3 (28.0ms)

Iter	Nodes	Cost
0	23	154
1	41	154
2	84	138
3	212	123
4	949	123
done	5001	123

prune41.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 2.7b

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (fma (- y x) (/ z t) x))
2.6b	(fma (- y x) (/ z t) x)
2.6b	(fma (- y x) (/ z t) x)
2.6b	(fma (- y x) (/ z t) x)

rewrite2.0ms

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

series326.0ms

Counts

4 → 12

Calls

4 calls:

209.0ms	(cbrt (fma (- y x) (/ z t) x))
40.0ms	(fma (- y x) (/ z t) x)
40.0ms	(fma (- y x) (/ z t) x)
37.0ms	(fma (- y x) (/ z t) x)

simplify1.6s

Counts

55 → 55

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	60	683
1	118	678
2	276	611
3	854	559
4	3441	548
done	5000	546

prune176.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 2.6b

localize16.0ms

Local error

Found 4 expressions with local error:

2.6b	(fma (- y x) (/ z t) x)
2.6b	(fma (- y x) (/ z t) x)
2.6b	(fma (- y x) (/ z t) x)
2.6b	(fma (- y x) (/ z t) 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 x) (/ z t) x)
0.0ms	(fma (- y x) (/ z t) x)
0.0ms	(fma (- y x) (/ z t) x)
0.0ms	(fma (- y x) (/ z t) x)

series151.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(fma (- y x) (/ z t) x)
39.0ms	(fma (- y x) (/ z t) x)
36.0ms	(fma (- y x) (/ z t) x)
40.0ms	(fma (- y x) (/ z t) x)

simplify790.0ms

Counts

52 → 52

Iterations

Useful iterations: 3 (24.0ms)

Iter	Nodes	Cost
0	23	616
1	41	616
2	84	552
3	212	492
4	949	492
done	5001	492

prune207.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 2.6b

localize20.0ms

Local error

Found 4 expressions with local error:

2.6b	(fma (- y x) (/ z t) x)
2.6b	(fma (- y x) (/ z t) x)
2.6b	(fma (- y x) (/ z t) x)
2.6b	(fma (- y x) (/ z t) 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 x) (/ z t) x)
0.0ms	(fma (- y x) (/ z t) x)
0.0ms	(fma (- y x) (/ z t) x)
0.0ms	(fma (- y x) (/ z t) x)

series152.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(fma (- y x) (/ z t) x)
36.0ms	(fma (- y x) (/ z t) x)
36.0ms	(fma (- y x) (/ z t) x)
40.0ms	(fma (- y x) (/ z t) x)

simplify776.0ms

Counts

52 → 52

Iterations

Useful iterations: 3 (24.0ms)

Iter	Nodes	Cost
0	23	616
1	41	616
2	84	552
3	212	492
4	949	492
done	5001	492

prune209.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 2.6b

regimes183.0ms

Accuracy

0% (0.1b remaining)

Error of 1.9b against oracle of 1.9b and baseline of 1.9b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
done	7	8

end0.0ms

sample544.0ms

Algorithm

intervals

Results

282.0ms

10679×

body

valid