Details

sample41.0ms

Algorithm

intervals

Results

17.0ms

332×

body

valid

simplify5.5s

Counts

1 → 1

Iterations

Useful iterations: 2 (9.0ms)

Iter	Nodes	Cost
0	8	164
1	14	164
2	27	139
3	60	139
4	107	139
5	165	139
6	217	139
7	333	139
8	547	139
9	888	139
10	1465	139
11	2823	139
done	5000	139

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.1b

localize10.0ms

Local error

Found 1 expressions with local error:

2.1b	(fma (/ z t) (- y x) x)

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 10

Calls

1 calls:

1.0ms

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

series41.0ms

Counts

1 → 3

Calls

1 calls:

41.0ms

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

simplify2.2s

Counts

13 → 13

Iterations

Useful iterations: 3 (85.0ms)

Iter	Nodes	Cost
0	23	2767
1	41	2767
2	88	2767
3	256	2452
4	1365	2452
done	5000	2452

prune96.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 2.1b

localize26.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (fma (/ z t) (- y x) x))
2.1b	(fma (/ z t) (- y x) x)
2.1b	(fma (/ z t) (- y x) x)
2.1b	(fma (/ z t) (- y x) x)

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 43

Calls

4 calls:

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

series424.0ms

Counts

4 → 12

Calls

4 calls:

269.0ms	(cbrt (fma (/ z t) (- y x) x))
50.0ms	(fma (/ z t) (- y x) x)
47.0ms	(fma (/ z t) (- y x) x)
57.0ms	(fma (/ z t) (- y x) x)

simplify3.2s

Counts

55 → 55

Iterations

Useful iterations: 4 (1.7s)

Iter	Nodes	Cost
0	60	13760
1	118	13548
2	277	13508
3	965	12323
4	4630	12173
done	5000	12173

prune496.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 2.1b

localize75.0ms

Local error

Found 4 expressions with local error:

2.1b	(fma (/ z t) (- y x) x)
2.1b	(fma (/ z t) (- y x) x)
2.1b	(fma (/ z t) (- y x) x)
2.1b	(fma (/ z t) (- y x) x)

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 40

Calls

4 calls:

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

series189.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(fma (/ z t) (- y x) x)
35.0ms	(fma (/ z t) (- y x) x)
63.0ms	(fma (/ z t) (- y x) x)
55.0ms	(fma (/ z t) (- y x) x)

simplify2.7s

Counts

52 → 52

Iterations

Useful iterations: 3 (103.0ms)

Iter	Nodes	Cost
0	23	11068
1	41	11068
2	88	11068
3	256	9808
4	1365	9808
done	5000	9808

prune568.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 2.1b

localize86.0ms

Local error

Found 4 expressions with local error:

2.1b	(fma (/ z t) (- y x) x)
2.1b	(fma (/ z t) (- y x) x)
2.1b	(fma (/ z t) (- y x) x)
2.1b	(fma (/ z t) (- y x) x)

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 40

Calls

4 calls:

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

series159.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(fma (/ z t) (- y x) x)
34.0ms	(fma (/ z t) (- y x) x)
42.0ms	(fma (/ z t) (- y x) x)
45.0ms	(fma (/ z t) (- y x) x)

simplify3.0s

Counts

52 → 52

Iterations

Useful iterations: 3 (70.0ms)

Iter	Nodes	Cost
0	23	11068
1	41	11068
2	88	11068
3	256	9808
4	1365	9808
done	5000	9808

prune358.0ms

Pruning

11 alts after pruning (7 fresh and 4 done)

Merged error: 2.1b

regimes681.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	139
done	7	139

end0.0ms

sample1.1s

Algorithm

intervals

Results

527.0ms

10693×

body

valid