Details

sample35.0ms

Algorithm

intervals

Results

19.0ms

256×

body

valid

simplify245.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	186
7	186
6	177
5	152
4	109
3	67
2	38
1	19
0	9

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 31.3b

localize24.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x x) (* (* y 4.0) y))
3.4b	(- (* x x) (* (* y 4.0) y))
31.3b	(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac`
7×	`add-log-exp`
5×	`add-cbrt-cube` `add-exp-log`
3×	`expm1-log1p-u` `pow1` `associate-/r` `insert-posit16` `log1p-expm1-u` `associate-/l`
2×	`flip3-+` `flip3--` `associate-/r/` `flip-+` `flip--` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `sub-neg` `fma-def` `frac-2neg` `fma-neg` `diff-log` `div-sub` `div-exp` `prod-diff` `div-inv`

Counts

3 → 67

Calls

3 calls:

9.0ms	(+ (* x x) (* (* y 4.0) y))
9.0ms	(- (* x x) (* (* y 4.0) y))
51.0ms	(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

series237.0ms

Counts

3 → 9

Calls

3 calls:

57.0ms	(+ (* x x) (* (* y 4.0) y))
69.0ms	(- (* x x) (* (* y 4.0) y))
111.0ms	(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

simplify3.5s

Counts

76 → 76

Iterations

Iter	Nodes
done	5000
3	4814
2	1023
1	272
0	101

prune358.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.3b

localize0.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Iter	Nodes
done	0
0	0

prune5.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.3b

localize23.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma x x (* (* y 4.0) y))
3.4b	(- (* x x) (* (* y 4.0) y))
31.3b	(/ (- (* x x) (* (* y 4.0) y)) (fma x x (* (* y 4.0) y)))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac`
5×	`add-cbrt-cube` `add-exp-log` `add-log-exp`
3×	`expm1-log1p-u` `pow1` `associate-/r` `insert-posit16` `log1p-expm1-u` `associate-/l`
2×	`flip3--` `flip--` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `fma-neg` `diff-log` `div-sub` `div-exp` `prod-diff` `fma-udef` `div-inv`

Counts

3 → 61

Calls

3 calls:

0.0ms	(fma x x (* (* y 4.0) y))
18.0ms	(- (* x x) (* (* y 4.0) y))
40.0ms	(/ (- (* x x) (* (* y 4.0) y)) (fma x x (* (* y 4.0) y)))

series255.0ms

Counts

3 → 9

Calls

3 calls:

81.0ms	(fma x x (* (* y 4.0) y))
74.0ms	(- (* x x) (* (* y 4.0) y))
99.0ms	(/ (- (* x x) (* (* y 4.0) y)) (fma x x (* (* y 4.0) y)))

simplify3.5s

Counts

70 → 70

Iterations

Iter	Nodes
done	5000
3	4521
2	1027
1	246
0	97

prune383.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.3b

localize0.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Iter	Nodes
done	0
0	0

prune0.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.3b

regimes153.0ms

Accuracy

61.8% (12.1b remaining)

Error of 12.4b against oracle of 0.3b and baseline of 32.0b

bsearch116.0ms

Steps

Iters	Range		Point
10	4.57033878851591e+243	2.1514468683831677e+259	2.1123622978353503e+259
8	2.983112531858748e-58	1.9304691351384216e-53	3.0328235087703392e-58
8	1.4327513172000131e-114	5.169236401691441e-111	6.588589890767051e-113
0	0.0	9.8813129168249e-324	4.9406564584125e-324

simplify8.0ms

Iterations

Iter	Nodes
done	27
1	27
0	23

end0.0ms

sample839.0ms

Algorithm

intervals

Results

669.0ms

8000×

body

valid