Details

sample40.0ms

Algorithm

intervals

Results

17.0ms

334×

body

valid

simplify6.9s

Counts

1 → 1

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	8	164
1	15	139
2	33	139
3	61	139
4	100	139
5	132	139
6	167	139
7	199	139
8	314	139
9	536	139
10	1184	139
11	2921	139
done	5001	139

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.1b

localize15.0ms

Local error

Found 1 expressions with local error:

2.0b	(fma (/ x y) (- z t) t)

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

series36.0ms

Counts

1 → 3

Calls

1 calls:

36.0ms

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

simplify2.5s

Counts

13 → 13

Iterations

Useful iterations: 3 (89.0ms)

Iter	Nodes	Cost
0	25	2767
1	45	2767
2	91	2767
3	263	2452
4	1265	2452
done	5000	2452

prune84.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 2.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (fma (/ x y) (- z t) t))
2.0b	(fma (/ x y) (- z t) t)
2.0b	(fma (/ x y) (- z t) t)
2.0b	(fma (/ x y) (- z t) t)

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 (/ 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)

series422.0ms

Counts

4 → 12

Calls

4 calls:

280.0ms	(cbrt (fma (/ x y) (- z t) t))
55.0ms	(fma (/ x y) (- z t) t)
49.0ms	(fma (/ x y) (- z t) t)
38.0ms	(fma (/ x y) (- z t) t)

simplify3.3s

Counts

55 → 55

Iterations

Useful iterations: 4 (1.8s)

Iter	Nodes	Cost
0	62	13760
1	122	13548
2	280	13508
3	969	12323
4	4846	12173
done	5000	12173

prune463.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 2.0b

localize70.0ms

Local error

Found 4 expressions with local error:

2.0b	(fma (/ x y) (- z t) t)
2.0b	(fma (/ x y) (- z t) t)
2.0b	(fma (/ x y) (- z t) t)
2.0b	(fma (/ x y) (- z t) t)

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

series193.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(fma (/ x y) (- z t) t)
53.0ms	(fma (/ x y) (- z t) t)
45.0ms	(fma (/ x y) (- z t) t)
43.0ms	(fma (/ x y) (- z t) t)

simplify2.5s

Counts

52 → 52

Iterations

Useful iterations: 3 (62.0ms)

Iter	Nodes	Cost
0	25	11068
1	45	11068
2	91	11068
3	263	9808
4	1265	9808
done	5000	9808

prune399.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 2.0b

localize58.0ms

Local error

Found 4 expressions with local error:

2.0b	(fma (/ x y) (- z t) t)
2.0b	(fma (/ x y) (- z t) t)
2.0b	(fma (/ x y) (- z t) t)
2.0b	(fma (/ x y) (- z t) t)

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 (/ 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)

series172.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(fma (/ x y) (- z t) t)
34.0ms	(fma (/ x y) (- z t) t)
38.0ms	(fma (/ x y) (- z t) t)
55.0ms	(fma (/ x y) (- z t) t)

simplify2.5s

Counts

52 → 52

Iterations

Useful iterations: 3 (100.0ms)

Iter	Nodes	Cost
0	25	11068
1	45	11068
2	91	11068
3	263	9808
4	1265	9808
done	5000	9808

prune400.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 2.0b

regimes677.0ms

Accuracy

0% (0.1b remaining)

Error of 2.3b against oracle of 2.3b and baseline of 2.3b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	139
done	7	139

end0.0ms

sample1.2s

Algorithm

intervals

Results

584.0ms

10616×

body

valid