Details

Time bar (total: 19.5s)

sample78.0ms

Algorithm
intervals
Results
33.0ms80×body1280valid
14.0ms55×body640valid
11.0ms28×body2560valid
5.0ms68×body80valid
3.0ms15×body320valid
1.0ms10×body160valid

simplify1.0s

Counts
1 → 1

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 45.4b

localize21.0ms

Local error

Found 2 expressions with local error:

12.8b
(- (fma x y z) (+ 1 (+ (* x y) z)))
0.0b
(+ (* x y) z)

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
13×add-log-exp
7×*-un-lft-identity
4×add-sqr-sqrt sum-log
3×diff-log
2×pow1 add-cbrt-cube add-exp-log add-cube-cbrt insert-posit16 distribute-lft-out--
1×+-commutative sub-neg flip3-+ flip3-- flip-+ flip-- distribute-lft-out associate--r+ difference-of-squares
Counts
2 → 31
Calls
2 calls:
Slowest
55.0ms
(- (fma x y z) (+ 1 (+ (* x y) z)))
12.0ms
(+ (* x y) z)

series100.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
74.0ms
(- (fma x y z) (+ 1 (+ (* x y) z)))
26.0ms
(+ (* x y) z)

simplify806.0ms

Counts
37 → 37

prune323.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 10.6b

localize32.0ms

Local error

Found 2 expressions with local error:

10.6b
(- (+ (* x y) z) (fma x y z))
0.0b
(+ (* x y) z)

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
9×add-log-exp
4×add-sqr-sqrt *-un-lft-identity
2×pow1 sum-log add-cbrt-cube diff-log add-exp-log add-cube-cbrt insert-posit16
1×+-commutative sub-neg flip3-+ flip3-- associate--l+ flip-+ flip-- distribute-lft-out-- difference-of-squares
Counts
2 → 29
Calls
2 calls:
Slowest
52.0ms
(- (+ (* x y) z) (fma x y z))
6.0ms
(+ (* x y) z)

series73.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
44.0ms
(- (+ (* x y) z) (fma x y z))
29.0ms
(+ (* x y) z)

simplify3.1s

Counts
35 → 35

prune437.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 10.5b

localize72.0ms

Local error

Found 2 expressions with local error:

10.6b
(- (+ (* x y) z) (fma x y z))
0.0b
(+ (* x y) z)

rewrite77.0ms

Algorithm
rewrite-expression-head
Rules
9×add-log-exp
4×add-sqr-sqrt *-un-lft-identity
2×pow1 sum-log add-cbrt-cube diff-log add-exp-log add-cube-cbrt insert-posit16
1×+-commutative sub-neg flip3-+ flip3-- associate--l+ flip-+ flip-- distribute-lft-out-- difference-of-squares
Counts
2 → 29
Calls
2 calls:
Slowest
69.0ms
(- (+ (* x y) z) (fma x y z))
7.0ms
(+ (* x y) z)

series70.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
36.0ms
(- (+ (* x y) z) (fma x y z))
34.0ms
(+ (* x y) z)

simplify2.9s

Counts
35 → 35

prune900.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 10.5b

localize77.0ms

Local error

Found 4 expressions with local error:

26.4b
(posit16->real (real->posit16 (* (+ (sqrt (+ (* x y) z)) (sqrt (fma x y z))) (- (sqrt (+ (* x y) z)) (sqrt (fma x y z))))))
5.2b
(sqrt (+ (* x y) z))
5.2b
(sqrt (+ (* x y) z))
5.2b
(sqrt (fma x y z))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
9×sqrt-prod
7×pow1 *-un-lft-identity add-cube-cbrt
4×add-cbrt-cube sqrt-div add-exp-log insert-posit16 add-log-exp
3×rem-sqrt-square sqrt-pow1 pow1/2
2×flip3-+ flip-+
1×remove-posit16
Counts
4 → 55
Calls
4 calls:
Slowest
7.0ms
(sqrt (+ (* x y) z))
7.0ms
(sqrt (+ (* x y) z))
1.0ms
(sqrt (fma x y z))
0.0ms
(posit16->real (real->posit16 (* (+ (sqrt (+ (* x y) z)) (sqrt (fma x y z))) (- (sqrt (+ (* x y) z)) (sqrt (fma x y z))))))

series670.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
466.0ms
(posit16->real (real->posit16 (* (+ (sqrt (+ (* x y) z)) (sqrt (fma x y z))) (- (sqrt (+ (* x y) z)) (sqrt (fma x y z))))))
98.0ms
(sqrt (+ (* x y) z))
96.0ms
(sqrt (+ (* x y) z))
10.0ms
(sqrt (fma x y z))

simplify3.0s

Counts
67 → 67

prune1.9s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 10.5b

regimes172.0ms

Accuracy

0% (0.1b remaining)

Error of 8.0b against oracle of 7.9b and baseline of 8.0b

bsearch3.0ms

end0.0ms

sample3.6s

Algorithm
intervals
Results
1.7s2665×body1280valid
758.0ms1624×body640valid
328.0ms597×body2560valid
278.0ms2049×body80valid
213.0ms707×body320valid
115.0ms358×body160valid