Details

Time bar (total: 1.4m)

sample477.0ms

Algorithm
halfpoints

simplify2.3s

Counts
1 → 1
Iterations
IterNodes
done5002
31882
2510
1145
056

prune273.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 3.6b

localize1.1s

Local error

Found 4 expressions with local error:

0.8b
(*.p16 (*.p16 x x) (real->posit16 0.0001789971))
0.9b
(*.p16 (*.p16 (*.p16 x x) (real->posit16 2)) (real->posit16 0.0001789971))
1.0b
(*.p16 (real->posit16 0.0140005442) (*.p16 (*.p16 (*.p16 x x) (*.p16 x x)) (*.p16 (*.p16 x x) (*.p16 x x))))
3.2b
(/.p16 (+.p16 (*.p16 (*.p16 (*.p16 x x) (*.p16 x x)) (+.p16 (*.p16 (*.p16 (*.p16 x x) (*.p16 x x)) (+.p16 (real->posit16 0.0005064034) (*.p16 (*.p16 x x) (real->posit16 0.0001789971)))) (+.p16 (real->posit16 0.0424060604) (*.p16 (real->posit16 0.0072644182) (*.p16 x x))))) (+.p16 (real->posit16 1) (*.p16 (*.p16 x x) (real->posit16 0.1049934947)))) (+.p16 (+.p16 (real->posit16 1) (*.p16 (*.p16 x x) (+.p16 (+.p16 (+.p16 (*.p16 (*.p16 x x) (real->posit16 0.2909738639)) (real->posit16 0.7715471019)) (*.p16 (*.p16 (*.p16 x x) (*.p16 x x)) (real->posit16 0.0694555761))) (*.p16 (*.p16 (*.p16 (*.p16 x x) (*.p16 x x)) (*.p16 (*.p16 x x) (*.p16 x x))) (+.p16 (real->posit16 0.0008327945) (*.p16 (*.p16 (*.p16 x x) (real->posit16 2)) (real->posit16 0.0001789971))))))) (*.p16 (real->posit16 0.0140005442) (*.p16 (*.p16 (*.p16 x x) (*.p16 x x)) (*.p16 (*.p16 x x) (*.p16 x x))))))

rewrite123.0ms

Algorithm
rewrite-expression-head
Rules
38×distribute-rgt-in distribute-lft-in
22×+p16-lft-identity-expand +p16-rgt-identity-expand
20×/p16-rgt-identity-expand
15×*p16-lft-identity-expand associate-*r/ *p16-rgt-identity-expand p16-*-un-lft-identity
11×associate-*l/
9×p16-times-frac
7×associate-*r*
5×associate-*l*
4×introduce-quire -p16-rgt-identity-expand
3×associate-/r* *-commutative associate-/l*
1×associate-/r/ associate-/l/
Counts
4 → 114
Calls
4 calls:
7.0ms
(*.p16 (*.p16 x x) (real->posit16 0.0001789971))
13.0ms
(*.p16 (*.p16 (*.p16 x x) (real->posit16 2)) (real->posit16 0.0001789971))
33.0ms
(*.p16 (real->posit16 0.0140005442) (*.p16 (*.p16 (*.p16 x x) (*.p16 x x)) (*.p16 (*.p16 x x) (*.p16 x x))))
67.0ms
(/.p16 (+.p16 (*.p16 (*.p16 (*.p16 x x) (*.p16 x x)) (+.p16 (*.p16 (*.p16 (*.p16 x x) (*.p16 x x)) (+.p16 (real->posit16 0.0005064034) (*.p16 (*.p16 x x) (real->posit16 0.0001789971)))) (+.p16 (real->posit16 0.0424060604) (*.p16 (real->posit16 0.0072644182) (*.p16 x x))))) (+.p16 (real->posit16 1) (*.p16 (*.p16 x x) (real->posit16 0.1049934947)))) (+.p16 (+.p16 (real->posit16 1) (*.p16 (*.p16 x x) (+.p16 (+.p16 (+.p16 (*.p16 (*.p16 x x) (real->posit16 0.2909738639)) (real->posit16 0.7715471019)) (*.p16 (*.p16 (*.p16 x x) (*.p16 x x)) (real->posit16 0.0694555761))) (*.p16 (*.p16 (*.p16 (*.p16 x x) (*.p16 x x)) (*.p16 (*.p16 x x) (*.p16 x x))) (+.p16 (real->posit16 0.0008327945) (*.p16 (*.p16 (*.p16 x x) (real->posit16 2)) (real->posit16 0.0001789971))))))) (*.p16 (real->posit16 0.0140005442) (*.p16 (*.p16 (*.p16 x x) (*.p16 x x)) (*.p16 (*.p16 x x) (*.p16 x x))))))

series0.0ms

Counts
4 → 4
Calls
4 calls:
0.0ms
(*.p16 (*.p16 x x) (real->posit16 0.0001789971))
0.0ms
(*.p16 (*.p16 (*.p16 x x) (real->posit16 2)) (real->posit16 0.0001789971))
0.0ms
(*.p16 (real->posit16 0.0140005442) (*.p16 (*.p16 (*.p16 x x) (*.p16 x x)) (*.p16 (*.p16 x x) (*.p16 x x))))
0.0ms
(/.p16 (+.p16 (*.p16 (*.p16 (*.p16 x x) (*.p16 x x)) (+.p16 (*.p16 (*.p16 (*.p16 x x) (*.p16 x x)) (+.p16 (real->posit16 0.0005064034) (*.p16 (*.p16 x x) (real->posit16 0.0001789971)))) (+.p16 (real->posit16 0.0424060604) (*.p16 (real->posit16 0.0072644182) (*.p16 x x))))) (+.p16 (real->posit16 1) (*.p16 (*.p16 x x) (real->posit16 0.1049934947)))) (+.p16 (+.p16 (real->posit16 1) (*.p16 (*.p16 x x) (+.p16 (+.p16 (+.p16 (*.p16 (*.p16 x x) (real->posit16 0.2909738639)) (real->posit16 0.7715471019)) (*.p16 (*.p16 (*.p16 x x) (*.p16 x x)) (real->posit16 0.0694555761))) (*.p16 (*.p16 (*.p16 (*.p16 x x) (*.p16 x x)) (*.p16 (*.p16 x x) (*.p16 x x))) (+.p16 (real->posit16 0.0008327945) (*.p16 (*.p16 (*.p16 x x) (real->posit16 2)) (real->posit16 0.0001789971))))))) (*.p16 (real->posit16 0.0140005442) (*.p16 (*.p16 (*.p16 x x) (*.p16 x x)) (*.p16 (*.p16 x x) (*.p16 x x))))))

simplify21.9s

Counts
118 → 118
Iterations
IterNodes
done5000
21132
1280
0100

prune5.4s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 3.3b

localize1.2s

Local error

Found 4 expressions with local error:

0.8b
(*.p16 (*.p16 x x) (real->posit16 0.0001789971))
0.8b
(*.p16 (real->posit16 0.0001789971) (*.p16 x x))
0.8b
(*.p16 (real->posit16 0.0140005442) (*.p16 (*.p16 x x) (*.p16 x x)))
3.2b
(/.p16 (+.p16 (*.p16 (*.p16 (*.p16 x x) (*.p16 x x)) (+.p16 (*.p16 (*.p16 (*.p16 x x) (*.p16 x x)) (+.p16 (real->posit16 0.0005064034) (*.p16 (*.p16 x x) (real->posit16 0.0001789971)))) (+.p16 (real->posit16 0.0424060604) (*.p16 (real->posit16 0.0072644182) (*.p16 x x))))) (+.p16 (real->posit16 1) (*.p16 (*.p16 x x) (real->posit16 0.1049934947)))) (+.p16 (+.p16 (real->posit16 1) (*.p16 (*.p16 x x) (+.p16 (+.p16 (real->posit16 0.7715471019) (*.p16 (real->posit16 0.2909738639) (*.p16 x x))) (*.p16 (*.p16 (*.p16 x x) (*.p16 x x)) (+.p16 (real->posit16 0.0694555761) (*.p16 (+.p16 (*.p16 (*.p16 (real->posit16 0.0001789971) (*.p16 x x)) (real->posit16 2)) (real->posit16 0.0008327945)) (*.p16 (*.p16 x x) (*.p16 x x)))))))) (*.p16 (*.p16 (real->posit16 0.0140005442) (*.p16 (*.p16 x x) (*.p16 x x))) (*.p16 (*.p16 x x) (*.p16 x x)))))

rewrite84.0ms

Algorithm
rewrite-expression-head
Rules
15×*p16-lft-identity-expand *p16-rgt-identity-expand p16-*-un-lft-identity
14×distribute-rgt-in distribute-lft-in +p16-lft-identity-expand /p16-rgt-identity-expand +p16-rgt-identity-expand
9×p16-times-frac
7×associate-*l*
6×associate-*r/
5×associate-*r*
4×introduce-quire -p16-rgt-identity-expand associate-*l/
3×associate-/r* *-commutative associate-/l*
1×associate-/r/ associate-/l/
Counts
4 → 92
Calls
4 calls:
4.0ms
(*.p16 (*.p16 x x) (real->posit16 0.0001789971))
5.0ms
(*.p16 (real->posit16 0.0001789971) (*.p16 x x))
12.0ms
(*.p16 (real->posit16 0.0140005442) (*.p16 (*.p16 x x) (*.p16 x x)))
61.0ms
(/.p16 (+.p16 (*.p16 (*.p16 (*.p16 x x) (*.p16 x x)) (+.p16 (*.p16 (*.p16 (*.p16 x x) (*.p16 x x)) (+.p16 (real->posit16 0.0005064034) (*.p16 (*.p16 x x) (real->posit16 0.0001789971)))) (+.p16 (real->posit16 0.0424060604) (*.p16 (real->posit16 0.0072644182) (*.p16 x x))))) (+.p16 (real->posit16 1) (*.p16 (*.p16 x x) (real->posit16 0.1049934947)))) (+.p16 (+.p16 (real->posit16 1) (*.p16 (*.p16 x x) (+.p16 (+.p16 (real->posit16 0.7715471019) (*.p16 (real->posit16 0.2909738639) (*.p16 x x))) (*.p16 (*.p16 (*.p16 x x) (*.p16 x x)) (+.p16 (real->posit16 0.0694555761) (*.p16 (+.p16 (*.p16 (*.p16 (real->posit16 0.0001789971) (*.p16 x x)) (real->posit16 2)) (real->posit16 0.0008327945)) (*.p16 (*.p16 x x) (*.p16 x x)))))))) (*.p16 (*.p16 (real->posit16 0.0140005442) (*.p16 (*.p16 x x) (*.p16 x x))) (*.p16 (*.p16 x x) (*.p16 x x)))))

series0.0ms

Counts
4 → 4
Calls
4 calls:
0.0ms
(*.p16 (*.p16 x x) (real->posit16 0.0001789971))
0.0ms
(*.p16 (real->posit16 0.0001789971) (*.p16 x x))
0.0ms
(*.p16 (real->posit16 0.0140005442) (*.p16 (*.p16 x x) (*.p16 x x)))
0.0ms
(/.p16 (+.p16 (*.p16 (*.p16 (*.p16 x x) (*.p16 x x)) (+.p16 (*.p16 (*.p16 (*.p16 x x) (*.p16 x x)) (+.p16 (real->posit16 0.0005064034) (*.p16 (*.p16 x x) (real->posit16 0.0001789971)))) (+.p16 (real->posit16 0.0424060604) (*.p16 (real->posit16 0.0072644182) (*.p16 x x))))) (+.p16 (real->posit16 1) (*.p16 (*.p16 x x) (real->posit16 0.1049934947)))) (+.p16 (+.p16 (real->posit16 1) (*.p16 (*.p16 x x) (+.p16 (+.p16 (real->posit16 0.7715471019) (*.p16 (real->posit16 0.2909738639) (*.p16 x x))) (*.p16 (*.p16 (*.p16 x x) (*.p16 x x)) (+.p16 (real->posit16 0.0694555761) (*.p16 (+.p16 (*.p16 (*.p16 (real->posit16 0.0001789971) (*.p16 x x)) (real->posit16 2)) (real->posit16 0.0008327945)) (*.p16 (*.p16 x x) (*.p16 x x)))))))) (*.p16 (*.p16 (real->posit16 0.0140005442) (*.p16 (*.p16 x x) (*.p16 x x))) (*.p16 (*.p16 x x) (*.p16 x x)))))

simplify20.0s

Counts
96 → 96
Iterations
IterNodes
done5000
21040
1211
084

prune4.4s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 3.2b

localize913.0ms

Local error

Found 4 expressions with local error:

0.8b
(*.p16 (*.p16 x x) (real->posit16 0.0001789971))
0.8b
(*.p16 (real->posit16 0.0001789971) (*.p16 x x))
0.8b
(*.p16 (real->posit16 0.0140005442) (*.p16 (*.p16 x x) (*.p16 x x)))
3.1b
(/.p16 (+.p16 (+.p16 (real->posit16 1) (*.p16 (*.p16 x x) (+.p16 (+.p16 (real->posit16 0.7715471019) (*.p16 (real->posit16 0.2909738639) (*.p16 x x))) (*.p16 (*.p16 (*.p16 x x) (*.p16 x x)) (+.p16 (real->posit16 0.0694555761) (*.p16 (+.p16 (*.p16 (*.p16 (real->posit16 0.0001789971) (*.p16 x x)) (real->posit16 2)) (real->posit16 0.0008327945)) (*.p16 (*.p16 x x) (*.p16 x x)))))))) (*.p16 (*.p16 (real->posit16 0.0140005442) (*.p16 (*.p16 x x) (*.p16 x x))) (*.p16 (*.p16 x x) (*.p16 x x)))) (+.p16 (*.p16 (*.p16 (*.p16 x x) (*.p16 x x)) (+.p16 (*.p16 (*.p16 (*.p16 x x) (*.p16 x x)) (+.p16 (real->posit16 0.0005064034) (*.p16 (*.p16 x x) (real->posit16 0.0001789971)))) (+.p16 (real->posit16 0.0424060604) (*.p16 (real->posit16 0.0072644182) (*.p16 x x))))) (+.p16 (real->posit16 1) (*.p16 (*.p16 x x) (real->posit16 0.1049934947)))))

rewrite95.0ms

Algorithm
rewrite-expression-head
Rules
15×*p16-lft-identity-expand *p16-rgt-identity-expand p16-*-un-lft-identity
14×distribute-rgt-in distribute-lft-in +p16-lft-identity-expand /p16-rgt-identity-expand +p16-rgt-identity-expand
9×p16-times-frac
7×associate-*l*
6×associate-*r/
5×associate-*r*
4×introduce-quire -p16-rgt-identity-expand associate-*l/
3×associate-/r* *-commutative associate-/l*
1×associate-/r/ associate-/l/
Counts
4 → 92
Calls
4 calls:
7.0ms
(*.p16 (*.p16 x x) (real->posit16 0.0001789971))
8.0ms
(*.p16 (real->posit16 0.0001789971) (*.p16 x x))
24.0ms
(*.p16 (real->posit16 0.0140005442) (*.p16 (*.p16 x x) (*.p16 x x)))
52.0ms
(/.p16 (+.p16 (+.p16 (real->posit16 1) (*.p16 (*.p16 x x) (+.p16 (+.p16 (real->posit16 0.7715471019) (*.p16 (real->posit16 0.2909738639) (*.p16 x x))) (*.p16 (*.p16 (*.p16 x x) (*.p16 x x)) (+.p16 (real->posit16 0.0694555761) (*.p16 (+.p16 (*.p16 (*.p16 (real->posit16 0.0001789971) (*.p16 x x)) (real->posit16 2)) (real->posit16 0.0008327945)) (*.p16 (*.p16 x x) (*.p16 x x)))))))) (*.p16 (*.p16 (real->posit16 0.0140005442) (*.p16 (*.p16 x x) (*.p16 x x))) (*.p16 (*.p16 x x) (*.p16 x x)))) (+.p16 (*.p16 (*.p16 (*.p16 x x) (*.p16 x x)) (+.p16 (*.p16 (*.p16 (*.p16 x x) (*.p16 x x)) (+.p16 (real->posit16 0.0005064034) (*.p16 (*.p16 x x) (real->posit16 0.0001789971)))) (+.p16 (real->posit16 0.0424060604) (*.p16 (real->posit16 0.0072644182) (*.p16 x x))))) (+.p16 (real->posit16 1) (*.p16 (*.p16 x x) (real->posit16 0.1049934947)))))

series0.0ms

Counts
4 → 4
Calls
4 calls:
0.0ms
(*.p16 (*.p16 x x) (real->posit16 0.0001789971))
0.0ms
(*.p16 (real->posit16 0.0001789971) (*.p16 x x))
0.0ms
(*.p16 (real->posit16 0.0140005442) (*.p16 (*.p16 x x) (*.p16 x x)))
0.0ms
(/.p16 (+.p16 (+.p16 (real->posit16 1) (*.p16 (*.p16 x x) (+.p16 (+.p16 (real->posit16 0.7715471019) (*.p16 (real->posit16 0.2909738639) (*.p16 x x))) (*.p16 (*.p16 (*.p16 x x) (*.p16 x x)) (+.p16 (real->posit16 0.0694555761) (*.p16 (+.p16 (*.p16 (*.p16 (real->posit16 0.0001789971) (*.p16 x x)) (real->posit16 2)) (real->posit16 0.0008327945)) (*.p16 (*.p16 x x) (*.p16 x x)))))))) (*.p16 (*.p16 (real->posit16 0.0140005442) (*.p16 (*.p16 x x) (*.p16 x x))) (*.p16 (*.p16 x x) (*.p16 x x)))) (+.p16 (*.p16 (*.p16 (*.p16 x x) (*.p16 x x)) (+.p16 (*.p16 (*.p16 (*.p16 x x) (*.p16 x x)) (+.p16 (real->posit16 0.0005064034) (*.p16 (*.p16 x x) (real->posit16 0.0001789971)))) (+.p16 (real->posit16 0.0424060604) (*.p16 (real->posit16 0.0072644182) (*.p16 x x))))) (+.p16 (real->posit16 1) (*.p16 (*.p16 x x) (real->posit16 0.1049934947)))))

simplify2.6s

Counts
96 → 96
Iterations
IterNodes
done5001
21076
1206
083

prune4.9s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 3.2b

localize1.1s

Local error

Found 4 expressions with local error:

0.8b
(*.p16 (real->posit16 0.0001789971) (*.p16 x x))
0.8b
(*.p16 (real->posit16 0.0001789971) (*.p16 x x))
0.8b
(*.p16 (real->posit16 0.0140005442) (*.p16 (*.p16 x x) (*.p16 x x)))
3.1b
(/.p16 (+.p16 (+.p16 (real->posit16 1) (*.p16 (*.p16 x x) (+.p16 (+.p16 (real->posit16 0.7715471019) (*.p16 (real->posit16 0.2909738639) (*.p16 x x))) (*.p16 (*.p16 (*.p16 x x) (*.p16 x x)) (+.p16 (real->posit16 0.0694555761) (*.p16 (+.p16 (*.p16 (*.p16 (real->posit16 0.0001789971) (*.p16 x x)) (real->posit16 2)) (real->posit16 0.0008327945)) (*.p16 (*.p16 x x) (*.p16 x x)))))))) (*.p16 (*.p16 (real->posit16 0.0140005442) (*.p16 (*.p16 x x) (*.p16 x x))) (*.p16 (*.p16 x x) (*.p16 x x)))) (+.p16 (*.p16 (*.p16 x x) (+.p16 (real->posit16 0.1049934947) (*.p16 (*.p16 x x) (+.p16 (*.p16 (*.p16 x x) (+.p16 (*.p16 (*.p16 x x) (+.p16 (real->posit16 0.0005064034) (*.p16 (real->posit16 0.0001789971) (*.p16 x x)))) (real->posit16 0.0072644182))) (real->posit16 0.0424060604))))) (real->posit16 1)))

rewrite73.0ms

Algorithm
rewrite-expression-head
Rules
15×*p16-lft-identity-expand *p16-rgt-identity-expand p16-*-un-lft-identity
14×distribute-rgt-in distribute-lft-in +p16-lft-identity-expand /p16-rgt-identity-expand +p16-rgt-identity-expand
9×p16-times-frac associate-*l*
6×associate-*r/
4×introduce-quire -p16-rgt-identity-expand associate-*l/
3×associate-/r* associate-*r* *-commutative associate-/l*
1×associate-/r/ associate-/l/
Counts
4 → 92
Calls
4 calls:
9.0ms
(*.p16 (real->posit16 0.0001789971) (*.p16 x x))
9.0ms
(*.p16 (real->posit16 0.0001789971) (*.p16 x x))
22.0ms
(*.p16 (real->posit16 0.0140005442) (*.p16 (*.p16 x x) (*.p16 x x)))
29.0ms
(/.p16 (+.p16 (+.p16 (real->posit16 1) (*.p16 (*.p16 x x) (+.p16 (+.p16 (real->posit16 0.7715471019) (*.p16 (real->posit16 0.2909738639) (*.p16 x x))) (*.p16 (*.p16 (*.p16 x x) (*.p16 x x)) (+.p16 (real->posit16 0.0694555761) (*.p16 (+.p16 (*.p16 (*.p16 (real->posit16 0.0001789971) (*.p16 x x)) (real->posit16 2)) (real->posit16 0.0008327945)) (*.p16 (*.p16 x x) (*.p16 x x)))))))) (*.p16 (*.p16 (real->posit16 0.0140005442) (*.p16 (*.p16 x x) (*.p16 x x))) (*.p16 (*.p16 x x) (*.p16 x x)))) (+.p16 (*.p16 (*.p16 x x) (+.p16 (real->posit16 0.1049934947) (*.p16 (*.p16 x x) (+.p16 (*.p16 (*.p16 x x) (+.p16 (*.p16 (*.p16 x x) (+.p16 (real->posit16 0.0005064034) (*.p16 (real->posit16 0.0001789971) (*.p16 x x)))) (real->posit16 0.0072644182))) (real->posit16 0.0424060604))))) (real->posit16 1)))

series0.0ms

Counts
4 → 4
Calls
4 calls:
0.0ms
(*.p16 (real->posit16 0.0001789971) (*.p16 x x))
0.0ms
(*.p16 (real->posit16 0.0001789971) (*.p16 x x))
0.0ms
(*.p16 (real->posit16 0.0140005442) (*.p16 (*.p16 x x) (*.p16 x x)))
0.0ms
(/.p16 (+.p16 (+.p16 (real->posit16 1) (*.p16 (*.p16 x x) (+.p16 (+.p16 (real->posit16 0.7715471019) (*.p16 (real->posit16 0.2909738639) (*.p16 x x))) (*.p16 (*.p16 (*.p16 x x) (*.p16 x x)) (+.p16 (real->posit16 0.0694555761) (*.p16 (+.p16 (*.p16 (*.p16 (real->posit16 0.0001789971) (*.p16 x x)) (real->posit16 2)) (real->posit16 0.0008327945)) (*.p16 (*.p16 x x) (*.p16 x x)))))))) (*.p16 (*.p16 (real->posit16 0.0140005442) (*.p16 (*.p16 x x) (*.p16 x x))) (*.p16 (*.p16 x x) (*.p16 x x)))) (+.p16 (*.p16 (*.p16 x x) (+.p16 (real->posit16 0.1049934947) (*.p16 (*.p16 x x) (+.p16 (*.p16 (*.p16 x x) (+.p16 (*.p16 (*.p16 x x) (+.p16 (real->posit16 0.0005064034) (*.p16 (real->posit16 0.0001789971) (*.p16 x x)))) (real->posit16 0.0072644182))) (real->posit16 0.0424060604))))) (real->posit16 1)))

simplify3.6s

Counts
96 → 96
Iterations
IterNodes
done5000
21102
1217
082

prune4.6s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 3.2b

regimes1.0s

Accuracy

0% (0.4b remaining)

Error of 3.6b against oracle of 3.2b and baseline of 3.6b

bsearch0.0ms

simplify52.0ms

Iterations
IterNodes
done57
157
055

end0.0ms

sample5.2s

Algorithm
halfpoints