Details

Time bar (total: 3.5s)

sample36.0ms

Algorithm
intervals
Results
18.0ms256×body80valid
8.0ms256×pre80true

simplify300.0ms

Calls
1 calls:
Slowest
300.0ms
(sqrt (fabs (/ (- (* a a) (* b b)) (* a a))))

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.6b

localize15.0ms

Local error

Found 3 expressions with local error:

7.6b
(sqrt (fabs (- 1 (* (/ b a) (/ b a)))))
0.4b
(* (/ b a) (/ b a))
0.0b
(- 1 (* (/ b a) (/ b a)))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
pow1
add-sqr-sqrt
*-un-lft-identity add-cube-cbrt
add-cbrt-cube add-exp-log
associate-*r* associate-*l*
expm1-log1p-u sqrt-prod insert-posit16 log1p-expm1-u add-log-exp
div-inv
pow2 frac-times rem-sqrt-square sub-neg pow-plus flip3-- pow1/2 pow-prod-down associate-*l/ prod-exp associate-*r/ *-commutative pow-prod-up cbrt-unprod flip--
Calls
3 calls:
Slowest
4.0ms
(* (/ b a) (/ b a))
1.0ms
(- 1 (* (/ b a) (/ b a)))
1.0ms
(sqrt (fabs (- 1 (* (/ b a) (/ b a)))))

series107.0ms

Calls
3 calls:
Slowest
54.0ms
(- 1 (* (/ b a) (/ b a)))
40.0ms
(* (/ b a) (/ b a))
13.0ms
(sqrt (fabs (- 1 (* (/ b a) (/ b a)))))

simplify1.2s

Calls
28 calls:
Slowest
188.0ms
(* (* (* (/ b a) (/ b a)) (/ b a)) (* (* (/ b a) (/ b a)) (/ b a)))
114.0ms
(sqrt (fabs (- 1 (/ (pow b 2) (pow a 2)))))
114.0ms
(sqrt (* (cbrt (fabs (- 1 (* (/ b a) (/ b a))))) (cbrt (fabs (- 1 (* (/ b a) (/ b a)))))))
112.0ms
(sqrt (fabs (- 1 (/ (pow b 2) (pow a 2)))))
98.0ms
(sqrt (sqrt (fabs (- 1 (* (/ b a) (/ b a))))))

prune579.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 7.6b

end0.0ms

sample1.2s

Algorithm
intervals
Results
786.0ms8000×body80valid
343.0ms8000×pre80true