Details

sample20.0ms

Algorithm

intervals

Results

8.0ms

337×

body

valid

simplify8.4s

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	142	8
6	180	8
7	214	8
8	257	8
9	343	8
10	455	8
11	520	8
12	587	8
13	644	8
14	684	8
15	832	8
16	1086	8
17	1441	8
18	2081	8
19	2754	8
20	2858	8
21	2864	8
done	2864	8

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.7b

localize11.0ms

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)

series34.0ms

Counts

1 → 3

Calls

1 calls:

34.0ms

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

simplify770.0ms

Counts

13 → 13

Iterations

Useful iterations: 3 (25.0ms)

Iter	Nodes	Cost
0	23	154
1	41	154
2	84	138
3	213	123
4	950	123
done	5000	123

prune43.0ms

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)

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 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:

212.0ms	(cbrt (fma (- y x) (/ z t) x))
38.0ms	(fma (- y x) (/ z t) x)
37.0ms	(fma (- y x) (/ z t) x)
38.0ms	(fma (- y x) (/ z t) x)

simplify1.8s

Counts

55 → 55

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	60	683
1	118	678
2	276	611
3	858	559
4	3518	548
done	5000	546

prune182.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 2.6b

localize17.0ms

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)

series163.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(fma (- y x) (/ z t) x)
42.0ms	(fma (- y x) (/ z t) x)
41.0ms	(fma (- y x) (/ z t) x)
38.0ms	(fma (- y x) (/ z t) x)

simplify783.0ms

Counts

52 → 52

Iterations

Useful iterations: 3 (26.0ms)

Iter	Nodes	Cost
0	23	616
1	41	616
2	84	552
3	213	492
4	950	492
done	5000	492

prune213.0ms

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)

series164.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(fma (- y x) (/ z t) x)
43.0ms	(fma (- y x) (/ z t) x)
41.0ms	(fma (- y x) (/ z t) x)
38.0ms	(fma (- y x) (/ z t) x)

simplify836.0ms

Counts

52 → 52

Iterations

Useful iterations: 3 (30.0ms)

Iter	Nodes	Cost
0	23	616
1	41	616
2	84	552
3	213	492
4	950	492
done	5000	492

prune224.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 2.6b

regimes192.0ms

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

sample549.0ms

Algorithm

intervals

Results

275.0ms

10679×

body

valid