Details

sample62.0ms

Algorithm

intervals

Results

30.0ms

350×

body

valid

simplify10.8s

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	8	9
1	15	8
2	33	8
3	63	8
4	102	8
5	142	8
6	175	8
7	213	8
8	282	8
9	367	8
10	462	8
11	520	8
12	570	8
13	613	8
14	635	8
15	673	8
16	802	8
17	940	8
18	1253	8
19	1744	8
20	2349	8
21	2520	8
22	2528	8
done	2528	8

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.3b

localize9.0ms

Local error

Found 1 expressions with local error:

1.3b	(fma (/ x y) (- z t) t)

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

series33.0ms

Counts

1 → 3

Calls

1 calls:

33.0ms

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

simplify887.0ms

Counts

13 → 13

Iterations

Useful iterations: 3 (48.0ms)

Iter	Nodes	Cost
0	23	154
1	41	154
2	91	138
3	263	123
4	1131	123
done	5001	123

prune42.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 1.3b

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (fma (/ x y) (- z t) t))
1.3b	(fma (/ x y) (- z t) t)
1.3b	(fma (/ x y) (- z t) t)
1.3b	(fma (/ x y) (- z t) t)

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

series376.0ms

Counts

4 → 12

Calls

4 calls:

252.0ms	(cbrt (fma (/ x y) (- z t) t))
34.0ms	(fma (/ x y) (- z t) t)
43.0ms	(fma (/ x y) (- z t) t)
47.0ms	(fma (/ x y) (- z t) t)

simplify2.2s

Counts

55 → 55

Iterations

Useful iterations: 4 (1.2s)

Iter	Nodes	Cost
0	60	683
1	118	678
2	284	611
3	922	559
4	3639	546
done	5000	546

prune197.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 1.3b

localize30.0ms

Local error

Found 4 expressions with local error:

1.3b	(fma (/ x y) (- z t) t)
1.3b	(fma (/ x y) (- z t) t)
1.3b	(fma (/ x y) (- z t) t)
1.3b	(fma (/ x y) (- z t) t)

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

series147.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(fma (/ x y) (- z t) t)
37.0ms	(fma (/ x y) (- z t) t)
33.0ms	(fma (/ x y) (- z t) t)
32.0ms	(fma (/ x y) (- z t) t)

simplify1.1s

Counts

52 → 52

Iterations

Useful iterations: 3 (62.0ms)

Iter	Nodes	Cost
0	23	616
1	41	616
2	91	552
3	263	492
4	1131	492
done	5001	492

prune287.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 1.3b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b	(log1p (fma (/ x y) (- z t) t))
1.3b	(fma (/ x y) (- z t) t)
2.2b	(expm1 (log1p (fma (/ x y) (- z t) t)))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 32

Calls

3 calls:

1.0ms	(log1p (fma (/ x y) (- z t) t))
1.0ms	(fma (/ x y) (- z t) t)
1.0ms	(expm1 (log1p (fma (/ x y) (- z t) t)))

series444.0ms

Counts

3 → 9

Calls

3 calls:

164.0ms	(log1p (fma (/ x y) (- z t) t))
40.0ms	(fma (/ x y) (- z t) t)
239.0ms	(expm1 (log1p (fma (/ x y) (- z t) t)))

simplify3.2s

Counts

41 → 41

Iterations

Useful iterations: 4 (1.3s)

Iter	Nodes	Cost
0	66	496
1	125	460
2	287	408
3	870	385
4	3075	365
done	5000	365

prune121.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 1.2b

regimes258.0ms

Accuracy

0% (0.2b remaining)

Error of 2.0b against oracle of 1.8b and baseline of 2.0b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
done	7	8

end0.0ms

sample1.1s

Algorithm

intervals

Results

533.0ms

10696×

body

valid