Details

Time bar (total: 2.2m)

sample2.8s

Algorithm
intervals
Results
2.4s150×body10240exit
138.0ms53×body1280nan
111.0ms43×body640nan
88.0ms262×body80valid
22.0ms22×body320nan
17.0ms15×body160nan
5.0ms15×body80nan

simplify2.3s

Counts
1 → 1
Iterations

Useful iterations: 3 (712.0ms)

IterNodesCost
060123
1148123
2609121
3384688
done500188

prune68.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.9b

localize140.0ms

Local error

Found 4 expressions with local error:

1.0b
(+ (/ 771.3234287776531 (+ (- z) 3.0)) (+ 0.9999999999998099 (/ 676.5203681218851 (- 1.0 z))))
1.0b
(+ (+ (+ (/ -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))))
1.0b
(+ (/ -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
(sqrt (* PI 2.0))

rewrite2.1m

Algorithm
rewrite-expression-head
Rules
154×frac-add
103×*-un-lft-identity add-log-exp
79×sum-log distribute-lft-out
34×flip3-+ flip-+
pow1
add-exp-log add-sqr-sqrt add-cube-cbrt add-cbrt-cube
+-commutative
associate-+r+ sqrt-pow1
associate-+l+ pow1/2 pow-prod-down sqrt-prod
Counts
4 → 126
Calls
4 calls:
125.0ms
(+ (/ 771.3234287776531 (+ (- z) 3.0)) (+ 0.9999999999998099 (/ 676.5203681218851 (- 1.0 z))))
10.2s
(+ (+ (+ (/ -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))))
1.9m
(+ (/ -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))))))
5.0ms
(sqrt (* PI 2.0))

series83.0ms

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