Details

sample15.0ms

Algorithm

intervals

Results

7.0ms

256×

body

valid

simplify163.0ms

Counts

1 → 1

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	9	19
1	19	18
2	39	18
3	80	18
4	133	18
5	187	18
6	215	18
7	219	18
done	219	18

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.4b

localize8.0ms

Local error

Found 2 expressions with local error:

2.5b	(- (* x x) (* (* y 4.0) y))
29.8b	(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
4×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`associate-/r` `associate-/l`
2×	`pow1` `expm1-log1p-u` `flip3--` `associate-/r/` `flip--` `log1p-expm1-u` `associate-/l/`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `flip3-+` `fma-neg` `diff-log` `div-sub` `div-exp` `prod-diff` `clear-num` `flip-+` `div-inv`

Counts

2 → 50

Calls

2 calls:

3.0ms	(- (* x x) (* (* y 4.0) y))
15.0ms	(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

series119.0ms

Counts

2 → 6

Calls

2 calls:

52.0ms	(- (* x x) (* (* y 4.0) y))
67.0ms	(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

simplify2.1s

Counts

56 → 56

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	91	1282
1	234	1205
2	904	1090
3	4181	1085
done	5000	1084

prune180.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize0.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify1.0ms

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0
done	0	0

prune5.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.1b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (/ (fma x x (- (* y (* y 4.0)))) (fma x x (* (* y 4.0) y))))
0.0b	(log (exp (/ (fma x x (- (* y (* y 4.0)))) (fma x x (* (* y 4.0) y)))))
1.3b	(fma x x (- (* y (* y 4.0))))
29.8b	(/ (fma x x (- (* y (* y 4.0)))) (fma x x (* (* y 4.0) y)))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `times-frac`
26×	`exp-prod`
14×	`log-pow`
6×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `add-log-exp`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`log-prod` `associate-/r` `div-inv` `associate-/l`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `rem-log-exp` `clear-num` `fma-udef` `rem-exp-log`

Counts

4 → 89

Calls

4 calls:

4.0ms	(exp (/ (fma x x (- (* y (* y 4.0)))) (fma x x (* (* y 4.0) y))))
5.0ms	(log (exp (/ (fma x x (- (* y (* y 4.0)))) (fma x x (* (* y 4.0) y)))))
0.0ms	(fma x x (- (* y (* y 4.0))))
2.0ms	(/ (fma x x (- (* y (* y 4.0)))) (fma x x (* (* y 4.0) y)))

series335.0ms

Counts

4 → 12

Calls

4 calls:

102.0ms	(exp (/ (fma x x (- (* y (* y 4.0)))) (fma x x (* (* y 4.0) y))))
87.0ms	(log (exp (/ (fma x x (- (* y (* y 4.0)))) (fma x x (* (* y 4.0) y)))))
61.0ms	(fma x x (- (* y (* y 4.0))))
85.0ms	(/ (fma x x (- (* y (* y 4.0)))) (fma x x (* (* y 4.0) y)))

simplify746.0ms

Counts

101 → 101

Iterations

Useful iterations: done (743.0ms)

Iter	Nodes	Cost
0	117	2190
1	172	2109
2	368	1927
3	1255	1927
done	5001	1926

prune339.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.1b

localize0.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify1.0ms

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0
done	0	0

prune0.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.1b

regimes251.0ms

Accuracy

60.4% (12.5b remaining)

Error of 12.9b against oracle of 0.4b and baseline of 32.0b

bsearch1.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	75
1	33	75
2	40	75
done	40	75

end0.0ms

sample354.0ms

Algorithm

intervals

Results

224.0ms

8000×

body

valid