Details

Time bar (total: 3.2s)

sample47.0ms

Algorithm
intervals
Results
31.0ms311×body80valid

simplify2.7s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01521
13121
29021
338421
4166321
done500021

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a))))
0.4b
(/ 1.0 (- (* b b) (* a a)))
4.0b
(- (* b b) (* a a))
9.1b
(* (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a)))) (- (/ 1.0 a) (/ 1.0 b)))

rewrite404.0ms

Algorithm
rewrite-expression-head
Rules
515×times-frac
419×add-sqr-sqrt
403×*-un-lft-identity
395×add-cube-cbrt
339×prod-diff
171×distribute-rgt-in distribute-lft-in
57×div-inv
36×add-exp-log add-cbrt-cube
30×associate-*r*
14×frac-times associate-*l*
13×prod-exp cbrt-unprod
12×difference-of-squares
11×pow1
cbrt-undiv div-exp
associate-*r/ associate-*l/
flip3-- flip--
add-log-exp
distribute-lft-out--
expm1-log1p-u pow-prod-down associate-/r* associate-/r/ frac-sub log1p-expm1-u unswap-sqr
sub-neg associate-/l*
*-commutative
frac-2neg fma-neg diff-log clear-num
Counts
4 → 501
Calls
4 calls:
83.0ms
(* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a))))
14.0ms
(/ 1.0 (- (* b b) (* a a)))
18.0ms
(- (* b b) (* a a))
239.0ms
(* (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a)))) (- (/ 1.0 a) (/ 1.0 b)))

series1.0ms