Details

Time bar (total: 5.7s)

sample26.0ms

Algorithm
intervals
Results
11.0ms256×body80valid
8.0ms256×pre80true

simplify23.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
23.0ms
(* (+ a b) (+ a b))

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b
(* (+ a b) (+ a b))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
19×*-un-lft-identity
pow1
add-sqr-sqrt
flip3-+ swap-sqr flip-+ distribute-lft-out
add-cube-cbrt
frac-times associate-*r* associate-*l*
add-cbrt-cube add-exp-log
associate-*l/ associate-*r/
pow2 distribute-rgt-in distribute-lft-in pow-plus pow-prod-down prod-exp pow-sqr *-commutative pow-prod-up cbrt-unprod insert-posit16 add-log-exp unswap-sqr
Counts
1 → 41
Calls
1 calls:
Slowest
21.0ms
(* (+ a b) (+ a b))

series19.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
19.0ms
(* (+ a b) (+ a b))

simplify3.4s

Counts
45 → 44
Calls
45 calls:
Slowest
597.0ms
(* (- a b) (+ (* a a) (- (* b b) (* a b))))
426.0ms
(* (+ (* a a) (- (* b b) (* a b))) (+ (* a a) (- (* b b) (* a b))))
366.0ms
(* (+ (pow a 3) (pow b 3)) (+ (pow a 3) (pow b 3)))
250.0ms
(* (+ (pow a 3) (pow b 3)) (- (* a a) (* b b)))
212.0ms
(* (+ (pow a 3) (pow b 3)) (+ a b))

prune330.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize27.0ms

Local error

Found 1 expressions with local error:

0.0b
(* b (+ (* a 2) b))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt
pow1 *-un-lft-identity add-cbrt-cube associate-*r* associate-*l* add-exp-log add-cube-cbrt
associate-*r/
distribute-rgt-in distribute-lft-in flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ insert-posit16 add-log-exp unswap-sqr
Counts
1 → 23
Calls
1 calls:
Slowest
20.0ms
(* b (+ (* a 2) b))

series55.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
55.0ms
(* b (+ (* a 2) b))

simplify656.0ms

Counts
17 → 26
Calls
17 calls:
Slowest
253.0ms
(+ (* (* a 2) (* a 2)) (- (* b b) (* (* a 2) b)))
195.0ms
(* (* (* b b) b) (* (* (+ (* a 2) b) (+ (* a 2) b)) (+ (* a 2) b)))
43.0ms
(+ (pow b 2) (* 2 (* a b)))
43.0ms
(+ (pow b 2) (* 2 (* a b)))
33.0ms
(+ (pow b 2) (* 2 (* a b)))

prune181.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

end0.0ms

sample938.0ms

Algorithm
intervals
Results
409.0ms8000×pre80true
343.0ms8000×body80valid