Details

Time bar (total: 5.3m)

sample2.4s

Algorithm
intervals
Results
2.0s113×body10240exit
167.0ms55×body1280nan
91.0ms260×body80valid
55.0ms38×body640nan
44.0ms23×body320nan
5.0msbody160nan
4.0msbody80nan

simplify2.7s

Counts
1 → 1
Iterations

Useful iterations: 3 (839.0ms)

IterNodesCost
060123
1148123
2609121
3384688
done500188

prune74.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.9b

localize130.0ms

Local error

Found 4 expressions with local error:

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

rewrite5.2m

Algorithm
rewrite-expression-head
Rules
666×frac-add
139×*-un-lft-identity
138×flip3-+ flip-+
137×frac-times associate-*r/
87×distribute-lft-out add-log-exp
67×sum-log
51×associate-*l*
44×times-frac
37×add-exp-log
25×add-cbrt-cube
24×add-sqr-sqrt add-cube-cbrt unpow-prod-down
20×prod-exp
13×div-exp
12×pow1
11×exp-sum
10×cbrt-unprod
cbrt-undiv
unpow-prod-up distribute-rgt-in associate-+r- distribute-rgt-neg-in distribute-lft-in pow-prod-down sqr-pow
pow-to-exp exp-diff associate-*l/ pow-exp associate-/r/
+-commutative associate-+r+ sqrt-pow1
neg-sub0 pow1/2 associate-*r* unsub-neg sqrt-prod *-commutative div-inv
Counts
4 → 324
Calls
4 calls:
1.6m
(+ (/ -176.6150291621406 (+ 4.0 (- z))) (+ (+ (+ (+ (/ -0.13857109526572012 (+ 6.0 (- z))) (+ (/ 771.3234287776531 (+ (- z) 3.0)) (+ 0.9999999999998099 (/ 676.5203681218851 (- 1.0 z))))) (/ -1259.1392167224028 (+ 2.0 (- z)))) (/ 12.507343278686905 (+ 5.0 (- z)))) (+ (/ 1.5056327351493116e-07 (+ 8.0 (- z))) (/ 9.984369578019572e-06 (+ 7.0 (- z))))))
392.0ms
(+ (/ -0.13857109526572012 (+ 6.0 (- z))) (+ (/ 771.3234287776531 (+ (- z) 3.0)) (+ 0.9999999999998099 (/ 676.5203681218851 (- 1.0 z)))))
3.7m
(* (/ (pow (+ 0.5 (+ 7.0 (- z))) (+ (- z) 0.5)) (exp (+ 0.5 (+ 7.0 (- z))))) (* (/ PI (sin (* PI z))) (+ (/ -176.6150291621406 (+ 4.0 (- z))) (+ (+ (+ (+ (/ -0.13857109526572012 (+ 6.0 (- z))) (+ (/ 771.3234287776531 (+ (- z) 3.0)) (+ 0.9999999999998099 (/ 676.5203681218851 (- 1.0 z))))) (/ -1259.1392167224028 (+ 2.0 (- z)))) (/ 12.507343278686905 (+ 5.0 (- z)))) (+ (/ 1.5056327351493116e-07 (+ 8.0 (- z))) (/ 9.984369578019572e-06 (+ 7.0 (- z))))))))
7.0ms
(sqrt (* PI 2.0))

series461.0ms

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