Details

sample74.0ms

Algorithm

intervals

Results

35.0ms

528×

body

valid

simplify3.4s

Counts

1 → 1

Iterations

Useful iterations: 4 (155.0ms)

Iter	Nodes	Cost
0	11	13
1	21	13
2	52	13
3	171	13
4	346	12
5	586	12
6	698	12
7	805	12
8	1042	12
9	1225	12
10	1228	12
done	1228	12

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.8b

localize21.0ms

Local error

Found 1 expressions with local error:

6.4b	(fma (* y 4.0) (- t (* z 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:

1.0ms

(fma (* y 4.0) (- t (* z z)) (* x x))

series126.0ms

Counts

1 → 3

Calls

1 calls:

126.0ms

(fma (* y 4.0) (- t (* z z)) (* x x))

simplify1.6s

Counts

13 → 13

Iterations

Useful iterations: 3 (75.0ms)

Iter	Nodes	Cost
0	29	208
1	56	208
2	154	177
3	439	173
4	1797	173
done	5001	173

prune41.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 5.7b

localize24.0ms

Local error

Found 4 expressions with local error:

2.0b	(cbrt (fma (* y 4.0) (- t (* z z)) (* x x)))
6.4b	(fma (* y 4.0) (- t (* z z)) (* x x))
6.4b	(fma (* y 4.0) (- t (* z z)) (* x x))
6.4b	(fma (* y 4.0) (- t (* z z)) (* x 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 4.0) (- t (* z z)) (* x x)))
0.0ms	(fma (* y 4.0) (- t (* z z)) (* x x))
0.0ms	(fma (* y 4.0) (- t (* z z)) (* x x))
0.0ms	(fma (* y 4.0) (- t (* z z)) (* x x))

series1.3s

Counts

4 → 12

Calls

4 calls:

858.0ms	(cbrt (fma (* y 4.0) (- t (* z z)) (* x x)))
135.0ms	(fma (* y 4.0) (- t (* z z)) (* x x))
143.0ms	(fma (* y 4.0) (- t (* z z)) (* x x))
138.0ms	(fma (* y 4.0) (- t (* z z)) (* x x))

simplify2.4s

Counts

55 → 55

Iterations

Useful iterations: 4 (1.3s)

Iter	Nodes	Cost
0	70	924
1	142	920
2	361	799
3	977	781
4	3588	775
done	5000	775

prune288.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 5.7b

localize48.0ms

Local error

Found 4 expressions with local error:

6.4b	(fma (* y 4.0) (- t (* z z)) (* x x))
6.4b	(fma (* y 4.0) (- t (* z z)) (* x x))
6.4b	(fma (* y 4.0) (- t (* z z)) (* x x))
6.4b	(fma (* y 4.0) (- t (* z z)) (* x x))

rewrite3.0ms

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:

1.0ms	(fma (* y 4.0) (- t (* z z)) (* x x))
0.0ms	(fma (* y 4.0) (- t (* z z)) (* x x))
0.0ms	(fma (* y 4.0) (- t (* z z)) (* x x))
1.0ms	(fma (* y 4.0) (- t (* z z)) (* x x))

series546.0ms

Counts

4 → 12

Calls

4 calls:

129.0ms	(fma (* y 4.0) (- t (* z z)) (* x x))
138.0ms	(fma (* y 4.0) (- t (* z z)) (* x x))
128.0ms	(fma (* y 4.0) (- t (* z z)) (* x x))
151.0ms	(fma (* y 4.0) (- t (* z z)) (* x x))

simplify1.5s

Counts

52 → 52

Iterations

Useful iterations: 3 (113.0ms)

Iter	Nodes	Cost
0	29	832
1	56	832
2	154	708
3	439	692
4	1797	692
done	5001	692

prune277.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 5.7b

localize12.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0
done	0	0

prune0.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 5.7b

regimes255.0ms

Accuracy

97.1% (0.0b remaining)

Error of 5.2b against oracle of 5.2b and baseline of 6.0b

bsearch7.0ms

Steps

Iters	Range		Point
1	1.7242132900385382e+308	+inf.0	1.7793231736563713e+308

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	26
1	17	26
done	17	26

end0.0ms

sample2.2s

Algorithm

intervals

Results

1.3s

15945×

body

valid