Details

Time bar (total: 50.3s)

sample244.0ms

Algorithm
halfpoints

simplify18.0ms

Counts
1 → 1
Iterations
IterNodes
428
328
226
119
012

prune29.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.7b

localize164.0ms

Local error

Found 4 expressions with local error:

0.0b
(/.p16 (+.p16 (/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0))) (real->posit16 1.0)) (real->posit16 2.0))
0.1b
(+.p16 (+.p16 alpha beta) (real->posit16 2.0))
0.3b
(+.p16 (/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0))) (real->posit16 1.0))
0.6b
(/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0)))

rewrite204.0ms

Algorithm
rewrite-expression-head
Rules
151×*p16-lft-identity-expand p16-*-un-lft-identity
111×*p16-rgt-identity-expand
105×p16-times-frac
50×p16-distribute-lft-out distribute-lft-out
35×distribute-rgt-out
28×/p16-rgt-identity-expand
26×associate-/l*
22×associate-/r/
15×associate-/r*
12×introduce-quire
10×distribute-lft1-in
8×-p16-rgt-identity-expand
7×+p16-lft-identity-expand +p16-rgt-identity-expand
6×insert-quire-fdp-add
4×associate-+r+
3×associate-+l+ associate-/l/
2×+-commutative associate-+r- insert-quire-add associate-+l-
1×p16-flip--
Counts
4 → 233
Calls
4 calls:
94.0ms
(/.p16 (+.p16 (/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0))) (real->posit16 1.0)) (real->posit16 2.0))
16.0ms
(+.p16 (+.p16 alpha beta) (real->posit16 2.0))
75.0ms
(+.p16 (/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0))) (real->posit16 1.0))
15.0ms
(/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0)))

series0.0ms

Counts
4 → 4
Calls
4 calls:
0.0ms
(/.p16 (+.p16 (/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0))) (real->posit16 1.0)) (real->posit16 2.0))
0.0ms
(+.p16 (+.p16 alpha beta) (real->posit16 2.0))
0.0ms
(+.p16 (/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0))) (real->posit16 1.0))
0.0ms
(/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0)))

simplify6.5s

Counts
237 → 237
Iterations
IterNodes
47306
31581
2265
164
041

prune10.2s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.5b

localize181.0ms

Local error

Found 4 expressions with local error:

0.1b
(+.p16 (+.p16 alpha beta) (real->posit16 2.0))
0.3b
(/.p16 (real->posit16 1.0) (/.p16 (+.p16 (+.p16 alpha beta) (real->posit16 2.0)) (-.p16 beta alpha)))
0.3b
(+.p16 (/.p16 (real->posit16 1.0) (/.p16 (+.p16 (+.p16 alpha beta) (real->posit16 2.0)) (-.p16 beta alpha))) (real->posit16 1.0))
0.6b
(/.p16 (+.p16 (+.p16 alpha beta) (real->posit16 2.0)) (-.p16 beta alpha))

rewrite178.0ms

Algorithm
rewrite-expression-head
Rules
303×p16-times-frac
276×*p16-lft-identity-expand p16-*-un-lft-identity
172×*p16-rgt-identity-expand
74×p16-distribute-lft-out distribute-lft-out
44×associate-/r*
20×distribute-rgt-out
15×associate-/l*
12×introduce-quire
11×associate-/r/ /p16-rgt-identity-expand
8×-p16-rgt-identity-expand
7×+p16-lft-identity-expand +p16-rgt-identity-expand
6×insert-quire-fdp-add
5×p16-flip--
4×associate-+r+
3×associate-+l+
2×+-commutative associate-+r- insert-quire-add associate-+l- associate-/l/
1×distribute-lft1-in
Counts
4 → 301
Calls
4 calls:
15.0ms
(+.p16 (+.p16 alpha beta) (real->posit16 2.0))
31.0ms
(/.p16 (real->posit16 1.0) (/.p16 (+.p16 (+.p16 alpha beta) (real->posit16 2.0)) (-.p16 beta alpha)))
80.0ms
(+.p16 (/.p16 (real->posit16 1.0) (/.p16 (+.p16 (+.p16 alpha beta) (real->posit16 2.0)) (-.p16 beta alpha))) (real->posit16 1.0))
41.0ms
(/.p16 (+.p16 (+.p16 alpha beta) (real->posit16 2.0)) (-.p16 beta alpha))

series0.0ms

Counts
4 → 4
Calls
4 calls:
0.0ms
(+.p16 (+.p16 alpha beta) (real->posit16 2.0))
0.0ms
(/.p16 (real->posit16 1.0) (/.p16 (+.p16 (+.p16 alpha beta) (real->posit16 2.0)) (-.p16 beta alpha)))
0.0ms
(+.p16 (/.p16 (real->posit16 1.0) (/.p16 (+.p16 (+.p16 alpha beta) (real->posit16 2.0)) (-.p16 beta alpha))) (real->posit16 1.0))
0.0ms
(/.p16 (+.p16 (+.p16 alpha beta) (real->posit16 2.0)) (-.p16 beta alpha))

simplify2.4s

Counts
305 → 305
Iterations
IterNodes
42471
3740
2167
179
047

prune12.7s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.4b

localize274.0ms

Local error

Found 4 expressions with local error:

0.0b
(/.p16 (+.p16 (/.p16 (-.p16 beta alpha) (+.p16 (+.p16 (real->posit16 2.0) alpha) beta)) (real->posit16 1.0)) (real->posit16 2.0))
0.1b
(+.p16 (+.p16 (real->posit16 2.0) alpha) beta)
0.3b
(+.p16 (/.p16 (-.p16 beta alpha) (+.p16 (+.p16 (real->posit16 2.0) alpha) beta)) (real->posit16 1.0))
0.6b
(/.p16 (-.p16 beta alpha) (+.p16 (+.p16 (real->posit16 2.0) alpha) beta))

rewrite321.0ms

Algorithm
rewrite-expression-head
Rules
101×*p16-lft-identity-expand p16-*-un-lft-identity
91×*p16-rgt-identity-expand
78×p16-times-frac
30×p16-distribute-lft-out distribute-rgt-out distribute-lft-out
28×/p16-rgt-identity-expand
26×associate-/l*
22×associate-/r/
10×distribute-lft1-in introduce-quire
8×-p16-rgt-identity-expand
6×associate-/r* +p16-lft-identity-expand +p16-rgt-identity-expand
4×insert-quire-add associate-+l-
3×associate-+l+ insert-quire-fdp-add associate-/l/
2×+-commutative associate-+r+
1×associate-+r- p16-flip--
Counts
4 → 184
Calls
4 calls:
163.0ms
(/.p16 (+.p16 (/.p16 (-.p16 beta alpha) (+.p16 (+.p16 (real->posit16 2.0) alpha) beta)) (real->posit16 1.0)) (real->posit16 2.0))
11.0ms
(+.p16 (+.p16 (real->posit16 2.0) alpha) beta)
100.0ms
(+.p16 (/.p16 (-.p16 beta alpha) (+.p16 (+.p16 (real->posit16 2.0) alpha) beta)) (real->posit16 1.0))
41.0ms
(/.p16 (-.p16 beta alpha) (+.p16 (+.p16 (real->posit16 2.0) alpha) beta))

series0.0ms

Counts
4 → 4
Calls
4 calls:
0.0ms
(/.p16 (+.p16 (/.p16 (-.p16 beta alpha) (+.p16 (+.p16 (real->posit16 2.0) alpha) beta)) (real->posit16 1.0)) (real->posit16 2.0))
0.0ms
(+.p16 (+.p16 (real->posit16 2.0) alpha) beta)
0.0ms
(+.p16 (/.p16 (-.p16 beta alpha) (+.p16 (+.p16 (real->posit16 2.0) alpha) beta)) (real->posit16 1.0))
0.0ms
(/.p16 (-.p16 beta alpha) (+.p16 (+.p16 (real->posit16 2.0) alpha) beta))

simplify3.6s

Counts
188 → 188
Iterations
IterNodes
45323
31253
2242
167
044

prune8.5s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.4b

localize327.0ms

Local error

Found 4 expressions with local error:

0.2b
(/.p16 (real->posit16 1.0) (-.p16 beta alpha))
0.2b
(/.p16 (real->posit16 1.0) (+.p16 (real->posit16 2.0) (+.p16 alpha beta)))
0.3b
(+.p16 (/.p16 (/.p16 (real->posit16 1.0) (+.p16 (real->posit16 2.0) (+.p16 alpha beta))) (/.p16 (real->posit16 1.0) (-.p16 beta alpha))) (real->posit16 1.0))
0.5b
(/.p16 (/.p16 (real->posit16 1.0) (+.p16 (real->posit16 2.0) (+.p16 alpha beta))) (/.p16 (real->posit16 1.0) (-.p16 beta alpha)))

rewrite191.0ms

Algorithm
rewrite-expression-head
Rules
1514×p16-times-frac
960×*p16-lft-identity-expand p16-*-un-lft-identity
664×*p16-rgt-identity-expand
202×p16-distribute-lft-out distribute-lft-out
101×associate-/r/
64×/p16-rgt-identity-expand
52×distribute-rgt-out
46×associate-/l*
42×p16-flip--
29×associate-/r*
8×introduce-quire
6×+p16-lft-identity-expand -p16-rgt-identity-expand +p16-rgt-identity-expand
3×insert-quire-fdp-add associate-/l/
2×associate-+l+ associate-+r+
1×+-commutative associate-+r- insert-quire-add distribute-lft1-in associate-+l-
Counts
4 → 746
Calls
4 calls:
3.0ms
(/.p16 (real->posit16 1.0) (-.p16 beta alpha))
12.0ms
(/.p16 (real->posit16 1.0) (+.p16 (real->posit16 2.0) (+.p16 alpha beta)))
108.0ms
(+.p16 (/.p16 (/.p16 (real->posit16 1.0) (+.p16 (real->posit16 2.0) (+.p16 alpha beta))) (/.p16 (real->posit16 1.0) (-.p16 beta alpha))) (real->posit16 1.0))
44.0ms
(/.p16 (/.p16 (real->posit16 1.0) (+.p16 (real->posit16 2.0) (+.p16 alpha beta))) (/.p16 (real->posit16 1.0) (-.p16 beta alpha)))

series0.0ms

Counts
4 → 4
Calls
4 calls:
0.0ms
(/.p16 (real->posit16 1.0) (-.p16 beta alpha))
0.0ms
(/.p16 (real->posit16 1.0) (+.p16 (real->posit16 2.0) (+.p16 alpha beta)))
0.0ms
(+.p16 (/.p16 (/.p16 (real->posit16 1.0) (+.p16 (real->posit16 2.0) (+.p16 alpha beta))) (/.p16 (real->posit16 1.0) (-.p16 beta alpha))) (real->posit16 1.0))
0.0ms
(/.p16 (/.p16 (real->posit16 1.0) (+.p16 (real->posit16 2.0) (+.p16 alpha beta))) (/.p16 (real->posit16 1.0) (-.p16 beta alpha)))

simplify2.7s

Counts
750 → 750
Iterations
IterNodes
44683
31350
2299
1103
051

prune1.5s