Details

Time bar (total: 10.0m)

sample1.0s

Algorithm
intervals
Results
308.0ms129×body10240exit
239.0ms116×body1280valid
126.0ms66×body640valid
102.0ms42×body640nan
68.0ms51×body1280nan
63.0ms20×body160valid
33.0ms42×body320valid
13.0ms19×body320nan
5.0ms16×body80valid
3.0msbody160nan
1.0msbody80nan

simplify1.3s

Counts
1 → 1

prune32.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 60.7b

localize123.0ms

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)

rewrite1.8s

Algorithm
rewrite-expression-head
Rules
42×*-un-lft-identity
20×add-log-exp
17×distribute-lft-out
16×exp-prod
15×add-sqr-sqrt
11×associate-*r*
10×add-cube-cbrt
add-exp-log
pow1 unpow-prod-down sum-log
distribute-lft-neg-in distribute-rgt-neg-in add-cbrt-cube
rem-exp-log
associate-*l* neg-log distribute-lft-out--
prod-exp unswap-sqr
associate-+l- associate-+l+ sqrt-pow1 diff-log sqrt-prod sqr-pow
unpow-prod-up +-commutative neg-sub0 exp-neg pow-to-exp neg-mul-1 sub-neg distribute-neg-in flip3-+ pow1/2 exp-diff associate-*r/ exp-sum pow-prod-down pow-exp *-commutative cbrt-unprod flip-+ pow-sub
Counts
4 → 90
Calls
4 calls:
770.0ms
(exp (- (+ (+ (- z 1.0) 7.0) 0.5)))
933.0ms
(* (sqrt (* PI 2.0)) (pow (+ (+ (- z 1.0) 7.0) 0.5) (+ (- z 1.0) 0.5)))
7.0ms
(sqrt (* PI 2.0))
46.0ms
(+ (- z 1.0) 1.0)

series444.0ms

Counts
4 → 10
Calls
4 calls:
29.0ms
(exp (- (+ (+ (- z 1.0) 7.0) 0.5)))
403.0ms
(* (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)

simplify977.0ms

Counts
100 → 100

prune1.3s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.6b

localize90.0ms

Local error

Found 4 expressions with local error:

0.1b
(exp (- (+ (+ (- z 1.0) 7.0) 0.5)))
0.5b
(* (* (* (sqrt (* PI 2.0)) (pow (+ (+ (- z 1.0) 7.0) 0.5) (+ (- z 1.0) 0.5))) (exp (- (+ (+ (- z 1.0) 7.0) 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))))
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:
1.0s
(* (sqrt (* PI 2.0)) (pow (+ (+ (- z 1.0) 7.0) 0.5) (+ (- z 1.0) 0.5)))
19.0ms
(sqrt (* PI 2.0))