Details

sample22.0ms

Algorithm

intervals

Results

9.0ms

359×

body

valid

simplify8.0s

Counts

1 → 1

Iterations

Useful iterations: 3 (7.0ms)

Iter	Nodes	Cost
0	8	9
1	14	9
2	25	9
3	47	8
4	85	8
5	135	8
6	176	8
7	207	8
8	249	8
9	347	8
10	459	8
11	524	8
12	591	8
13	648	8
14	688	8
15	834	8
16	1090	8
17	1424	8
18	2060	8
19	2705	8
20	2796	8
21	2802	8
done	2802	8

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 1 expressions with local error:

2.7b	(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:

0.0ms

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

series32.0ms

Counts

1 → 3

Calls

1 calls:

31.0ms

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

simplify789.0ms

Counts

13 → 13

Iterations

Useful iterations: 3 (28.0ms)

Iter	Nodes	Cost
0	23	154
1	40	154
2	91	138
3	218	123
4	980	123
done	5000	123

prune42.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (fma (/ y t) (- z x) x))
2.7b	(fma (/ y t) (- z x) x)
2.7b	(fma (/ y t) (- z x) x)
2.7b	(fma (/ y t) (- z x) 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 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)

series299.0ms

Counts

4 → 12

Calls

4 calls:

201.0ms	(cbrt (fma (/ y t) (- z x) x))
35.0ms	(fma (/ y t) (- z x) x)
31.0ms	(fma (/ y t) (- z x) x)
32.0ms	(fma (/ y t) (- z x) x)

simplify1.8s

Counts

55 → 55

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	60	683
1	117	678
2	283	611
3	864	559
4	3556	548
done	5000	546

prune174.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

2.7b	(fma (/ y t) (- z x) x)
2.7b	(fma (/ y t) (- z x) x)
2.7b	(fma (/ y t) (- z x) x)
2.7b	(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)

series126.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(fma (/ y t) (- z x) x)
34.0ms	(fma (/ y t) (- z x) x)
30.0ms	(fma (/ y t) (- z x) x)
31.0ms	(fma (/ y t) (- z x) x)

simplify793.0ms

Counts

52 → 52

Iterations

Useful iterations: 3 (29.0ms)

Iter	Nodes	Cost
0	23	616
1	40	616
2	91	552
3	218	492
4	980	492
done	5000	492

prune199.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

2.7b	(fma (/ y t) (- z x) x)
2.7b	(fma (/ y t) (- z x) x)
2.7b	(fma (/ y t) (- z x) x)
2.7b	(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)

series130.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(fma (/ y t) (- z x) x)
31.0ms	(fma (/ y t) (- z x) x)
31.0ms	(fma (/ y t) (- z x) x)
34.0ms	(fma (/ y t) (- z x) x)

simplify1.0s

Counts

52 → 52

Iterations

Useful iterations: 3 (26.0ms)

Iter	Nodes	Cost
0	23	616
1	40	616
2	91	552
3	218	492
4	980	492
done	5000	492

prune202.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes224.0ms

Accuracy

58.2% (0.9b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 2.1b

bsearch1.0ms

simplify2.0ms

Iterations

Useful iterations: 1 (1.0ms)

Iter	Nodes	Cost
0	16	49
1	21	42
done	21	42

end0.0ms

sample574.0ms

Algorithm

intervals

Results

294.0ms

10838×

body

valid