Details

Time bar (total: 6.5s)

sample30.0ms

Algorithm
intervals
Results
16.0ms256×body80valid
7.0ms256×pre80true

simplify213.0ms

Calls
1 calls:
Slowest
213.0ms
(sqrt (fabs (/ (- (* a a) (* b b)) (* a a))))

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.6b

localize12.0ms

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)))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
46×add-sqr-sqrt
40×times-frac
33×*-un-lft-identity
32×add-cube-cbrt
15×add-cbrt-cube add-exp-log
13×swap-sqr associate-*r* associate-*l*
11×pow1
add-log-exp
cbrt-undiv div-exp prod-exp cbrt-unprod div-inv unswap-sqr
sqrt-prod insert-posit16
difference-of-squares
pow2 frac-times rem-sqrt-square sub-neg sqrt-pow1 pow-plus flip3-- pow1/2 diff-log pow-prod-down associate-*l/ associate-*r/ pow-sqr *-commutative pow-prod-up flip--
Calls
3 calls:
Slowest
23.0ms
(* (/ b a) (/ b a))
7.0ms
(- 1 (* (/ b a) (/ b a)))
1.0ms
(sqrt (fabs (- 1 (* (/ b a) (/ b a)))))

series111.0ms

Calls
3 calls:
Slowest
55.0ms
(- 1 (* (/ b a) (/ b a)))
39.0ms
(* (/ b a) (/ b a))
17.0ms
(sqrt (fabs (- 1 (* (/ b a) (/ b a)))))

simplify3.7s

Calls
94 calls:
Slowest
357.0ms
(* (/ (* (cbrt b) (cbrt b)) (* (cbrt a) (cbrt a))) (/ (* (cbrt b) (cbrt b)) (* (cbrt a) (cbrt a))))
209.0ms
(/ (exp 1) (exp (* (/ b a) (/ b a))))
198.0ms
(* (* (* (/ b a) (/ b a)) (/ b a)) (* (* (/ b a) (/ b a)) (/ b a)))
174.0ms
(* (/ (* (* b b) b) (* (* a a) a)) (* (* (/ b a) (/ b a)) (/ b a)))
149.0ms
(* (* (* (/ b a) (/ b a)) (/ b a)) (/ (* (* b b) b) (* (* a a) a)))

prune1.0s

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 7.6b

end0.0ms

sample1.3s

Algorithm
intervals
Results
855.0ms8000×body80valid
325.0ms8000×pre80true