Details

Time bar (total: 9.4s)

sample51.0ms

Algorithm
intervals
Results
29.0ms256×body80valid
10.0ms256×pre80true

simplify274.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
273.0ms
(sqrt (fabs (/ (- (* a a) (* b b)) (* a a))))

prune24.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.0b

localize16.0ms

Local error

Found 2 expressions with local error:

9.1b
(sqrt (fabs (- 1 (* (/ b a) (/ b a)))))
0.4b
(* (/ b a) (/ b a))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
44×add-sqr-sqrt
40×times-frac
31×*-un-lft-identity add-cube-cbrt
14×add-cbrt-cube add-exp-log
13×swap-sqr associate-*r* associate-*l*
10×pow1
cbrt-undiv div-exp prod-exp cbrt-unprod div-inv unswap-sqr
sqrt-prod
insert-posit16 add-log-exp
pow2 frac-times rem-sqrt-square sqrt-pow1 pow-plus pow1/2 pow-prod-down associate-*l/ associate-*r/ pow-sqr *-commutative pow-prod-up
Counts
2 → 82
Calls
2 calls:
Slowest
13.0ms
(* (/ b a) (/ b a))
1.0ms
(sqrt (fabs (- 1 (* (/ b a) (/ b a)))))

series68.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
45.0ms
(* (/ b a) (/ b a))
23.0ms
(sqrt (fabs (- 1 (* (/ b a) (/ b a)))))

simplify6.8s

Counts
105 → 88
Calls
105 calls:
Slowest
495.0ms
(* (/ (* (cbrt b) (cbrt b)) (* (cbrt a) (cbrt a))) (/ (* (cbrt b) (cbrt b)) (* (cbrt a) (cbrt a))))
405.0ms
(* (/ b a) (/ (* (cbrt b) (cbrt b)) (* (cbrt a) (cbrt a))))
231.0ms
(* (/ b a) (/ 1 (* (cbrt a) (cbrt a))))
224.0ms
(* (* (* (/ b a) (/ b a)) (/ b a)) (* (* (/ b a) (/ b a)) (/ b a)))
215.0ms
(* (* (* (/ b a) (/ b a)) (* (/ b a) (/ b a))) (* (/ b a) (/ b a)))

prune843.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 9.0b

end0.0ms

sample1.4s

Algorithm
intervals
Results
871.0ms8000×body80valid
343.0ms8000×pre80true