Details

Time bar (total: 10.0m)

sample1.1s

Algorithm
intervals
Results
342.0ms119×body10240exit
296.0ms94×body1280valid
187.0ms92×body640valid
74.0ms44×body1280nan
51.0ms36×body640nan
38.0ms40×body320valid
18.0ms15×body320nan
10.0ms16×body160valid
5.0ms16×body80valid
4.0msbody160nan
2.0msbody80nan

simplify1.4s

Counts
1 → 1

prune31.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 60.3b

localize100.0ms

Local error

Found 4 expressions with local error:

0.1b
(exp (+ (+ (- z 1.0) 7.0) 0.5))
1.0b
(* (sqrt (* PI 2.0)) (pow (+ (+ (- z 1.0) 7.0) 0.5) (+ (- z 1.0) 0.5)))
1.0b
(sqrt (* PI 2.0))
5.4b
(+ (- z 1.0) 1.0)

rewrite1.7s

Algorithm
rewrite-expression-head
Rules
31×*-un-lft-identity
19×add-log-exp
13×add-sqr-sqrt
12×distribute-lft-out
11×associate-*r*
add-exp-log
add-cube-cbrt
pow1 unpow-prod-down sum-log
exp-prod add-cbrt-cube
associate-+l- associate-*l* rem-exp-log
prod-exp distribute-lft-out-- unswap-sqr
associate-+l+ sqrt-pow1 diff-log sqrt-prod sqr-pow
unpow-prod-up +-commutative pow-to-exp sub-neg flip3-+ pow1/2 exp-diff associate-*r/ exp-sum pow-prod-down pow-exp *-commutative cbrt-unprod flip-+ pow-sub
Counts
4 → 78
Calls
4 calls:
408.0ms
(exp (+ (+ (- z 1.0) 7.0) 0.5))
847.0ms
(* (sqrt (* PI 2.0)) (pow (+ (+ (- z 1.0) 7.0) 0.5) (+ (- z 1.0) 0.5)))
7.0ms
(sqrt (* PI 2.0))
417.0ms
(+ (- z 1.0) 1.0)

series400.0ms

Counts
4 → 10
Calls
4 calls:
12.0ms
(exp (+ (+ (- z 1.0) 7.0) 0.5))
377.0ms
(* (sqrt (* PI 2.0)) (pow (+ (+ (- z 1.0) 7.0) 0.5) (+ (- z 1.0) 0.5)))
0.0ms
(sqrt (* PI 2.0))
11.0ms
(+ (- z 1.0) 1.0)

simplify838.0ms

Counts
88 → 88

prune1.3s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.9b

localize110.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* (sqrt (* PI 2.0)) (pow (+ (+ (- z 1.0) 7.0) 0.5) (+ (- z 1.0) 0.5))) (+ (+ (+ (+ (+ (+ (+ (+ 0.9999999999998099 (/ 676.5203681218851 z)) (/ -1259.1392167224028 (+ (- z 1.0) 2.0))) (/ 771.3234287776531 (+ (- z 1.0) 3.0))) (/ -176.6150291621406 (+ (- z 1.0) 4.0))) (/ 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))))
0.8b
(/ (* (* (sqrt (* PI 2.0)) (pow (+ (+ (- z 1.0) 7.0) 0.5) (+ (- z 1.0) 0.5))) (+ (+ (+ (+ (+ (+ (+ (+ 0.9999999999998099 (/ 676.5203681218851 z)) (/ -1259.1392167224028 (+ (- z 1.0) 2.0))) (/ 771.3234287776531 (+ (- z 1.0) 3.0))) (/ -176.6150291621406 (+ (- z 1.0) 4.0))) (/ 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)))) (exp (+ (+ (- z 1.0) 7.0) 0.5)))
1.0b
(* (sqrt (* PI 2.0)) (pow (+ (+ (- z 1.0) 7.0) 0.5) (+ (- z 1.0) 0.5)))
1.0b
(sqrt (* PI 2.0))

rewrite9.9m

Algorithm
rewrite-expression-head
Calls
2 calls:
913.0ms
(* (sqrt (* PI 2.0)) (pow (+ (+ (- z 1.0) 7.0) 0.5) (+ (- z 1.0) 0.5)))
4.0ms
(sqrt (* PI 2.0))