Details

Time bar (total: 8.7s)

sample38.0ms

Algorithm
intervals
Results
14.0ms256×pre80true
13.0ms256×body80valid

simplify50.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
50.0ms
(* (+ a b) (+ a b))

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 1 expressions with local error:

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

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
19×*-un-lft-identity
8×pow1
7×add-sqr-sqrt
6×flip3-+ swap-sqr flip-+ distribute-lft-out
5×add-cube-cbrt
4×frac-times associate-*r* associate-*l*
3×add-cbrt-cube add-exp-log
2×associate-*l/ associate-*r/
1×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
45.0ms
(* (+ a b) (+ a b))

series26.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
26.0ms
(* (+ a b) (+ a b))

simplify2.8s

Counts
45 → 44
Calls
45 calls:
Slowest
332.0ms
(* (+ (* a a) (- (* b b) (* a b))) (+ (* a a) (- (* b b) (* a b))))
323.0ms
(* (+ (pow a 3) (pow b 3)) (+ (pow a 3) (pow b 3)))
283.0ms
(* (+ (pow a 3) (pow b 3)) (- (* a a) (* b b)))
205.0ms
(* (- a b) (+ (* a a) (- (* b b) (* a b))))
198.0ms
(* (+ (pow a 3) (pow b 3)) (+ a b))

prune237.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize19.0ms

Local error

Found 3 expressions with local error:

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

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
12×associate-*l/
11×add-sqr-sqrt *-un-lft-identity
8×associate-*l*
7×pow1 flip3-+ add-cbrt-cube add-exp-log add-cube-cbrt flip-+
6×associate-*r*
5×add-log-exp
4×frac-add
3×insert-posit16 distribute-lft-out
2×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×+-commutative sum-log
Counts
3 → 61
Calls
3 calls:
Slowest
16.0ms
(* (+ a b) a)
14.0ms
(* (+ a b) b)
12.0ms
(+ (* (+ a b) a) (* (+ a b) b))

series91.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
34.0ms
(* (+ a b) b)
33.0ms
(* (+ a b) a)
24.0ms
(+ (* (+ a b) a) (* (+ a b) b))

simplify4.0s

Counts
42 → 70
Calls
42 calls:
Slowest
536.0ms
(* (* (* (+ a b) (+ a b)) (+ a b)) (* (* b b) b))
454.0ms
(* (* (* (+ a b) (+ a b)) (+ a b)) (* (* a a) a))
315.0ms
(* (exp (* (+ a b) a)) (exp (* (+ a b) b)))
287.0ms
(* (- (* a a) (* b b)) b)
265.0ms
(+ (* (* (+ (pow a 3) (pow b 3)) a) (+ (* a a) (- (* b b) (* a b)))) (* (+ (* a a) (- (* b b) (* a b))) (* (+ (pow a 3) (pow b 3)) b)))

prune433.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

end0.0ms

sample876.0ms

Algorithm
intervals
Results
351.0ms8000×pre80true
348.0ms8000×body80valid