Details

Time bar (total: 1.2m)

sample1.1s

Algorithm
intervals
Results
519.0ms145×body10240exit
208.0ms112×body1280valid
101.0ms79×body640valid
92.0ms68×body1280nan
54.0ms49×body640nan
33.0ms40×body320valid
16.0ms21×body320nan
9.0ms17×body160valid
8.0ms11×body80valid
3.0ms13×body80nan
2.0msbody160nan

simplify2.3s

Counts
1 → 1
Iterations

Useful iterations: 3 (965.0ms)

IterNodesCost
05594
113394
244792
3247489
done500289

prune64.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.9b

localize129.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (/ (* (pow (+ (+ (- z 1.0) 7.0) 0.5) (+ (- z 1.0) 0.5)) (sqrt (* PI 2.0))) (exp (+ (+ (- z 1.0) 7.0) 0.5))) (+ (+ (/ -176.6150291621406 (+ (- z 1.0) 4.0)) (+ (+ (/ 676.5203681218851 z) 0.9999999999998099) (/ -1259.1392167224028 (+ (- z 1.0) 2.0)))) (+ (/ 771.3234287776531 (+ (- z 1.0) 3.0)) (+ (+ (/ 12.507343278686905 (+ (- z 1.0) 5.0)) (/ -0.13857109526572012 (+ (- z 1.0) 6.0))) (+ (/ 9.984369578019572e-06 (+ (- z 1.0) 7.0)) (/ 1.5056327351493116e-07 (+ (- z 1.0) 8.0)))))))
1.0b
(/ (* (pow (+ (+ (- z 1.0) 7.0) 0.5) (+ (- z 1.0) 0.5)) (sqrt (* PI 2.0))) (exp (+ (+ (- z 1.0) 7.0) 0.5)))
1.0b
(* (pow (+ (+ (- z 1.0) 7.0) 0.5) (+ (- z 1.0) 0.5)) (sqrt (* PI 2.0)))
1.0b
(sqrt (* PI 2.0))

rewrite1.2m

Algorithm
rewrite-expression-head
Rules
624×frac-add
176×flip3-+ flip-+
157×*-un-lft-identity
117×distribute-lft-out
80×frac-times associate-*r/
31×associate-*r*
27×add-exp-log
20×associate-*l* add-cbrt-cube
19×add-sqr-sqrt
14×prod-exp
12×add-cube-cbrt
pow1
times-frac div-exp
unpow-prod-down
associate-+l- cbrt-unprod
cbrt-undiv associate-/r* add-log-exp unswap-sqr
pow-to-exp exp-sum associate-*l/ pow-exp
sqrt-pow1 exp-diff pow-prod-down sqrt-prod associate-/r/ *-commutative div-inv pow-sub sqr-pow
unpow-prod-up distribute-rgt-in frac-2neg distribute-lft-in pow1/2 clear-num associate-/l/ associate-/l* distribute-lft-out--
Counts
4 → 286
Calls
4 calls:
1.1m
(* (/ (* (pow (+ (+ (- z 1.0) 7.0) 0.5) (+ (- z 1.0) 0.5)) (sqrt (* PI 2.0))) (exp (+ (+ (- z 1.0) 7.0) 0.5))) (+ (+ (/ -176.6150291621406 (+ (- z 1.0) 4.0)) (+ (+ (/ 676.5203681218851 z) 0.9999999999998099) (/ -1259.1392167224028 (+ (- z 1.0) 2.0)))) (+ (/ 771.3234287776531 (+ (- z 1.0) 3.0)) (+ (+ (/ 12.507343278686905 (+ (- z 1.0) 5.0)) (/ -0.13857109526572012 (+ (- z 1.0) 6.0))) (+ (/ 9.984369578019572e-06 (+ (- z 1.0) 7.0)) (/ 1.5056327351493116e-07 (+ (- z 1.0) 8.0)))))))
994.0ms
(/ (* (pow (+ (+ (- z 1.0) 7.0) 0.5) (+ (- z 1.0) 0.5)) (sqrt (* PI 2.0))) (exp (+ (+ (- z 1.0) 7.0) 0.5)))
1.1s
(* (pow (+ (+ (- z 1.0) 7.0) 0.5) (+ (- z 1.0) 0.5)) (sqrt (* PI 2.0)))
6.0ms
(sqrt (* PI 2.0))

series210.0ms

Calls
1 calls:
0.0ms
(sqrt (* PI 2.0))