Details

sample3.2m (36.3%)

Algorithm
69×halfpoints

simplify2.5m (27.8%)

prune2.2m (24.9%)

localize34.7s (6.5%)

regimes17.5s (3.3%)

Accuracy

Total 8.8b remaining (34.2%)

Threshold costs 8.8b (34.2%)

0.9b0%Octave 3.8, jcobi/4
0.6b0%quadm (p42, negative)
0.5b0%_divideComplex, imaginary part
0.5b0%quad2p (problem 3.2.1, positive)
0.5b0%math.sqrt on complex, imaginary part, im greater than 0 branch

rewrite7.0s (1.3%)

Algorithm
123×rewrite-expression-head
Calls

400 calls:

415.0ms
(*.p16 (/.p16 (real->posit16 1.0) (+.p16 (+.p16 alpha beta) (real->posit16 2.0))) (neg.p16 alpha))
342.0ms
(/.p16 (+.p16 beta alpha) (+.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)) (real->posit16 2.0)))
341.0ms
(+.p16 (/.p16 (/.p16 (*.p16 (+.p16 alpha beta) (-.p16 beta alpha)) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i))) (+.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)) (real->posit16 2.0))) (real->posit16 1.0))
294.0ms
(+.p16 (/.p16 (*.p16 (+.p16 beta alpha) (/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)))) (+.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)) (real->posit16 2.0))) (real->posit16 1.0))
147.0ms
(/.p16 (/.p16 (+.p16 (+.p16 (+.p16 alpha beta) (*.p16 beta alpha)) (real->posit16 1.0)) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1)))) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1))))
Rules
10599×p16-times-frac
7733×*p16-lft-identity-expand p16-*-un-lft-identity
6602×*p16-rgt-identity-expand
1718×/p16-rgt-identity-expand
1464×distribute-lft-out p16-distribute-lft-out
1218×associate-/r/
975×associate-/r*
927×introduce-quire
698×+p16-lft-identity-expand +p16-rgt-identity-expand
659×distribute-rgt-out
612×-p16-rgt-identity-expand
581×associate-/l*
460×distribute-lft-out--
383×associate-*l*
333×insert-quire-fdp-add
315×associate-*r*
220×associate-*l/
203×insert-quire-fdp-sub
194×distribute-lft-in distribute-rgt-in
189×distribute-rgt-out--
171×distribute-lft1-in
170×associate-*r/ p16-flip--
167×associate--l+
150×associate-/l/
141×associate-+l+
140×associate-+r+
128×associate--r+
104×sub-neg
100×insert-quire-add
95×insert-quire-sub
88×difference-of-squares
84×associate-+l-
79×*-commutative
70×associate--r-
67×associate--l-
63×associate-+r- +-commutative
22×difference-of-sqr-1
sqrt-sqrd.p16

series30.0ms (0.0%)

Calls

400 calls:

0.0ms
(*.p16 (+.p16 im im) re)
0.0ms
(-.p16 (neg.p16 b_2) (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 a c))))
0.0ms
(-.p16 (neg.p16 b) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (real->posit16 4) (*.p16 a c)))))
0.0ms
(-.p16 (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a))) b_2)
0.0ms
(-.p16 (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 c a) (real->posit16 4)))) b)

bsearch1.0ms (0.0%)

end1.0ms (0.0%)