Details

Time bar (total: 6.1s)

sample36.0ms

Algorithm
intervals
Results
17.0ms256×body80valid
9.0ms256×pre80true

simplify311.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
311.0ms
(sqrt (fabs (/ (- (* a a) (* b b)) (* a a))))

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.4b

localize20.0ms

Local error

Found 2 expressions with local error:

5.5b
(sqrt (fabs (- 1 (* (/ b a) (/ b a)))))
0.4b
(* (/ b a) (/ b a))

rewrite17.0ms

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
4×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv unswap-sqr
3×sqrt-prod
2×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
1×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
13.0ms
(* (/ b a) (/ b a))
2.0ms
(sqrt (fabs (- 1 (* (/ b a) (/ b a)))))

series59.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
45.0ms
(* (/ b a) (/ b a))
13.0ms
(sqrt (fabs (- 1 (* (/ b a) (/ b a)))))

simplify3.4s

Counts
86 → 92
Calls
86 calls:
Slowest
386.0ms
(* (/ (* (cbrt b) (cbrt b)) (* (cbrt a) (cbrt a))) (/ (* (cbrt b) (cbrt b)) (* (cbrt a) (cbrt a))))
231.0ms
(* (* (* (/ b a) (/ b a)) (/ b a)) (* (* (/ b a) (/ b a)) (/ b a)))
161.0ms
(* (/ (* (* b b) b) (* (* a a) a)) (* (* (/ b a) (/ b a)) (/ b a)))
144.0ms
(* (* (* (/ b a) (/ b a)) (/ b a)) (/ (* (* b b) b) (* (* a a) a)))
130.0ms
(* (/ (* (* b b) b) (* (* a a) a)) (/ (* (* b b) b) (* (* a a) a)))

prune959.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 5.4b

end0.0ms

sample1.4s

Algorithm
intervals
Results
894.0ms8000×body80valid
327.0ms8000×pre80true