Details

Time bar (total: 2.9s)

sample49.0ms

Algorithm
intervals
Results
33.0ms620×body80valid

simplify2.4s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01829
15129
213529
332329
470629
5151029
6337629
done500129

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a)))))
0.1b
(* (* a a) (- 1.0 a))
0.3b
(pow (+ (* a a) (* b b)) 2.0)
0.7b
(* (* b b) (+ 3.0 a))

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
15×pow1 add-exp-log
14×add-cbrt-cube
12×add-sqr-sqrt *-un-lft-identity
associate-*r*
add-cube-cbrt
pow-prod-down prod-exp cbrt-unprod add-log-exp
distribute-rgt-in distribute-lft-in associate-*r/
unpow-prod-down pow-unpow
sub-neg associate-+r+ flip3-+ associate-*l* *-commutative flip-+ unswap-sqr
+-commutative pow-to-exp flip3-- pow-pow pow-exp sum-log flip-- distribute-lft-out distribute-lft-out-- difference-of-squares sqr-pow
Counts
4 → 81
Calls
4 calls:
23.0ms
(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a)))))
13.0ms
(* (* a a) (- 1.0 a))
4.0ms
(pow (+ (* a a) (* b b)) 2.0)
17.0ms
(* (* b b) (+ 3.0 a))

series270.0ms

Counts
4 → 12
Calls
4 calls:
98.0ms
(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a)))))
45.0ms
(* (* a a) (- 1.0 a))
93.0ms
(pow (+ (* a a) (* b b)) 2.0)
33.0ms
(* (* b b) (+ 3.0 a))

simplify130.0ms

Iterations

Useful iterations: 1 (32.0ms)

IterNodesCost
01791446
15011343