Details

Time bar (total: 5.2m)

sample285.0ms

Algorithm
halfpoints

simplify27.0ms

Counts
1 → 1
Iterations
IterNodes
435
335
234
126
016

prune53.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.8b

localize207.0ms

Local error

Found 4 expressions with local error:

0.3b
(*.p16 (*.p16 c a) (real->posit16 4))
0.4b
(/.p16 (-.p16 (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 c a) (real->posit16 4)))) b) (*.p16 (real->posit16 2) a))
0.4b
(sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 c a) (real->posit16 4))))
1.1b
(-.p16 (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 c a) (real->posit16 4)))) b)

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
9×/p16-rgt-identity-expand
7×*p16-lft-identity-expand +p16-lft-identity-expand *p16-rgt-identity-expand +p16-rgt-identity-expand p16-*-un-lft-identity
5×introduce-quire -p16-rgt-identity-expand
3×p16-times-frac associate-*r* associate-/l*
2×distribute-rgt-in distribute-lft-in associate-*l/ associate--l+ p16-flip-- associate-/r/ associate-/l/
1×associate--l- insert-quire-sub associate-/r* sub-neg associate-*l* associate-*r/ *-commutative
Counts
4 → 60
Calls
4 calls:
4.0ms
(*.p16 (*.p16 c a) (real->posit16 4))
4.0ms
(/.p16 (-.p16 (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 c a) (real->posit16 4)))) b) (*.p16 (real->posit16 2) a))
0.0ms
(sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 c a) (real->posit16 4))))
4.0ms
(-.p16 (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 c a) (real->posit16 4)))) b)

series0.0ms

Counts
4 → 4
Calls
4 calls:
0.0ms
(*.p16 (*.p16 c a) (real->posit16 4))
0.0ms
(/.p16 (-.p16 (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 c a) (real->posit16 4)))) b) (*.p16 (real->posit16 2) a))
0.0ms
(sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 c a) (real->posit16 4))))
0.0ms
(-.p16 (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 c a) (real->posit16 4)))) b)

simplify1.6m

Counts
64 → 64
Iterations
IterNodes
49820
3813
2224
182
043

prune3.8s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 1.3b

localize274.0ms

Local error

Found 4 expressions with local error:

0.2b
(-.p16 (*.p16 b b) (*.p16 c (*.p16 a (real->posit16 4))))
0.4b
(/.p16 (-.p16 (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 c (*.p16 a (real->posit16 4))))) b) (*.p16 (real->posit16 2) a))
0.4b
(sqrt.p16 (-.p16 (*.p16 b b) (*.p16 c (*.p16 a (real->posit16 4)))))
1.1b
(-.p16 (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 c (*.p16 a (real->posit16 4))))) b)

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
14×associate--r+
13×+p16-lft-identity-expand +p16-rgt-identity-expand
10×distribute-rgt-in distribute-lft-in
7×introduce-quire -p16-rgt-identity-expand /p16-rgt-identity-expand
6×*p16-lft-identity-expand *p16-rgt-identity-expand p16-*-un-lft-identity
4×associate--l+
3×p16-times-frac p16-flip-- associate-/l*
2×associate--l- insert-quire-sub sub-neg associate-/r/ associate-/l/
1×associate-/r* associate-*l/ insert-quire-fdp-sub associate--r-
Counts
4 → 71
Calls
4 calls:
10.0ms
(-.p16 (*.p16 b b) (*.p16 c (*.p16 a (real->posit16 4))))
7.0ms
(/.p16 (-.p16 (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 c (*.p16 a (real->posit16 4))))) b) (*.p16 (real->posit16 2) a))
0.0ms
(sqrt.p16 (-.p16 (*.p16 b b) (*.p16 c (*.p16 a (real->posit16 4)))))
5.0ms
(-.p16 (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 c (*.p16 a (real->posit16 4))))) b)

series0.0ms

Counts
4 → 4
Calls
4 calls:
0.0ms
(-.p16 (*.p16 b b) (*.p16 c (*.p16 a (real->posit16 4))))
0.0ms
(/.p16 (-.p16 (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 c (*.p16 a (real->posit16 4))))) b) (*.p16 (real->posit16 2) a))
0.0ms
(sqrt.p16 (-.p16 (*.p16 b b) (*.p16 c (*.p16 a (real->posit16 4)))))
0.0ms
(-.p16 (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 c (*.p16 a (real->posit16 4))))) b)

simplify12.0s

Counts
75 → 75
Iterations
IterNodes
35997
2534
1145
070

prune4.1s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 1.3b

localize321.0ms

Local error

Found 4 expressions with local error:

0.4b
(/.p16 (-.p16 (sqrt.p16 (quire16->posit16 (quire16-mul-sub (posit16->quire16 (*.p16 b b)) c (*.p16 a (real->posit16 4))))) b) (*.p16 (real->posit16 2) a))
0.4b
(sqrt.p16 (quire16->posit16 (quire16-mul-sub (posit16->quire16 (*.p16 b b)) c (*.p16 a (real->posit16 4)))))
1.1b
(-.p16 (sqrt.p16 (quire16->posit16 (quire16-mul-sub (posit16->quire16 (*.p16 b b)) c (*.p16 a (real->posit16 4))))) b)
5.6b
(quire16-mul-sub (posit16->quire16 (*.p16 b b)) c (*.p16 a (real->posit16 4)))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
6×/p16-rgt-identity-expand
5×*p16-lft-identity-expand *p16-rgt-identity-expand p16-*-un-lft-identity
4×+p16-lft-identity-expand introduce-quire -p16-rgt-identity-expand +p16-rgt-identity-expand
3×p16-times-frac associate-/l*
2×associate--l+ p16-flip-- associate-/r/ associate-/l/
1×associate--l- insert-quire-sub associate-/r* sub-neg associate-*l/
Counts
4 → 41
Calls
4 calls:
20.0ms
(/.p16 (-.p16 (sqrt.p16 (quire16->posit16 (quire16-mul-sub (posit16->quire16 (*.p16 b b)) c (*.p16 a (real->posit16 4))))) b) (*.p16 (real->posit16 2) a))
0.0ms
(sqrt.p16 (quire16->posit16 (quire16-mul-sub (posit16->quire16 (*.p16 b b)) c (*.p16 a (real->posit16 4)))))
5.0ms
(-.p16 (sqrt.p16 (quire16->posit16 (quire16-mul-sub (posit16->quire16 (*.p16 b b)) c (*.p16 a (real->posit16 4))))) b)
1.0ms
(quire16-mul-sub (posit16->quire16 (*.p16 b b)) c (*.p16 a (real->posit16 4)))

series0.0ms

Counts
4 → 4
Calls
4 calls:
0.0ms
(/.p16 (-.p16 (sqrt.p16 (quire16->posit16 (quire16-mul-sub (posit16->quire16 (*.p16 b b)) c (*.p16 a (real->posit16 4))))) b) (*.p16 (real->posit16 2) a))
0.0ms
(sqrt.p16 (quire16->posit16 (quire16-mul-sub (posit16->quire16 (*.p16 b b)) c (*.p16 a (real->posit16 4)))))
0.0ms
(-.p16 (sqrt.p16 (quire16->posit16 (quire16-mul-sub (posit16->quire16 (*.p16 b b)) c (*.p16 a (real->posit16 4))))) b)
0.0ms
(quire16-mul-sub (posit16->quire16 (*.p16 b b)) c (*.p16 a (real->posit16 4)))

simplify1.1s

Counts
45 → 45
Iterations
IterNodes
43260
3573
2166
161
038

prune2.6s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 1.3b

localize256.0ms

Local error

Found 4 expressions with local error:

0.2b
(-.p16 (*.p16 b b) (*.p16 c (*.p16 a (real->posit16 4))))
0.4b
(sqrt.p16 (-.p16 (*.p16 b b) (*.p16 c (*.p16 a (real->posit16 4)))))
0.4b
(*.p16 (/.p16 (-.p16 (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 c (*.p16 a (real->posit16 4))))) b) (real->posit16 2)) (/.p16 (real->posit16 1.0) a))
1.1b
(-.p16 (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 c (*.p16 a (real->posit16 4))))) b)

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
15×+p16-lft-identity-expand +p16-rgt-identity-expand
14×associate--r+
13×associate-*l*
12×distribute-rgt-in *p16-lft-identity-expand distribute-lft-in *p16-rgt-identity-expand p16-*-un-lft-identity
9×p16-times-frac
7×introduce-quire -p16-rgt-identity-expand
5×/p16-rgt-identity-expand
4×associate--l+
3×associate-*r*
2×associate--l- insert-quire-sub sub-neg p16-flip--
1×associate-*l/ associate-*r/ associate-/r/ *-commutative insert-quire-fdp-sub associate--r-
Counts
4 → 83
Calls
4 calls:
5.0ms
(-.p16 (*.p16 b b) (*.p16 c (*.p16 a (real->posit16 4))))
0.0ms
(sqrt.p16 (-.p16 (*.p16 b b) (*.p16 c (*.p16 a (real->posit16 4)))))
4.0ms
(*.p16 (/.p16 (-.p16 (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 c (*.p16 a (real->posit16 4))))) b) (real->posit16 2)) (/.p16 (real->posit16 1.0) a))
2.0ms
(-.p16 (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 c (*.p16 a (real->posit16 4))))) b)

series0.0ms

Counts
4 → 4
Calls
4 calls:
0.0ms
(-.p16 (*.p16 b b) (*.p16 c (*.p16 a (real->posit16 4))))
0.0ms
(sqrt.p16 (-.p16 (*.p16 b b) (*.p16 c (*.p16 a (real->posit16 4)))))
0.0ms
(*.p16 (/.p16 (-.p16 (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 c (*.p16 a (real->posit16 4))))) b) (real->posit16 2)) (/.p16 (real->posit16 1.0) a))
0.0ms
(-.p16 (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 c (*.p16 a (real->posit16 4))))) b)

simplify3.1m

Counts
87 → 87
Iterations
IterNodes
312005
2716
1176
075

prune4.3s

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 1.3b

regimes1.0s

Accuracy

0% (0.4b remaining)

Error of 1.5b against oracle of 1.1b and baseline of 1.5b

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
116
016

end0.0ms

sample3.3s

Algorithm
halfpoints