Details

Time bar (total: 10.1s)

sample60.0ms

Algorithm
intervals
Results
30.0ms256×body80valid
13.0ms256×pre80true

simplify321.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
321.0ms
(sqrt (fabs (/ (- (* a a) (* b b)) (* a a))))

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.0b

localize22.0ms

Local error

Found 2 expressions with local error:

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

rewrite33.0ms

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
expm1-log1p-u insert-posit16 log1p-expm1-u 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 → 86
Calls
2 calls:
Slowest
27.0ms
(* (/ b a) (/ b a))
3.0ms
(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)))))

simplify7.1s

Counts
109 → 92
Calls
109 calls:
Slowest
480.0ms
(* (/ (* (cbrt b) (cbrt b)) (* (cbrt a) (cbrt a))) (/ (* (cbrt b) (cbrt b)) (* (cbrt a) (cbrt a))))
344.0ms
(* (/ b a) (/ (* (cbrt b) (cbrt b)) (* (cbrt a) (cbrt a))))
268.0ms
(* (/ b a) (/ 1 (* (cbrt a) (cbrt a))))
215.0ms
(* (/ b a) (/ (sqrt b) (* (cbrt a) (cbrt a))))
210.0ms
(* (* (* (/ b a) (/ b a)) (/ b a)) (* (* (/ b a) (/ b a)) (/ b a)))

prune784.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 9.0b

end0.0ms

sample1.8s

Algorithm
intervals
Results
1.2s8000×body80valid
429.0ms8000×pre80true