Details

Time bar (total: 10.0m)

sample752.0ms

Algorithm
intervals
Results
207.0ms156×body10240exit
199.0ms111×body1280valid
101.0ms85×body640valid
58.0ms34×body320valid
42.0ms13×body160nan
38.0ms39×body1280nan
27.0ms41×body640nan
11.0ms23×body320nan
7.0ms19×body160valid
2.0msbody80valid
1.0msbody80nan

simplify68.0ms

Counts
1 → 1

prune51.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 62.0b

localize80.0ms

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))
4.9b
(+ (- z 1.0) 1.0)

rewrite1.2s

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:
530.0ms
(exp (- (+ (+ (- z 1.0) 7.0) 0.5)))
613.0ms
(* (sqrt (* PI 2.0)) (pow (+ (+ (- z 1.0) 7.0) 0.5) (+ (- z 1.0) 0.5)))
3.0ms
(sqrt (* PI 2.0))
28.0ms
(+ (- z 1.0) 1.0)

series331.0ms

Counts
4 → 10
Calls
4 calls:
19.0ms
(exp (- (+ (+ (- z 1.0) 7.0) 0.5)))
298.0ms
(* (sqrt (* PI 2.0)) (pow (+ (+ (- z 1.0) 7.0) 0.5) (+ (- z 1.0) 0.5)))
0.0ms
(sqrt (* PI 2.0))
13.0ms
(+ (- z 1.0) 1.0)

simplify56.0ms

Counts
100 → 100

prune892.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.6b

localize77.0ms

Local error

Found 4 expressions with local error:

0.1b
(exp (- (+ (+ (- z 1.0) 7.0) 0.5)))
0.6b
(* (* (* (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 0))) (/ -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:
911.0ms
(* (sqrt (* PI 2.0)) (pow (+ (+ (- z 1.0) 7.0) 0.5) (+ (- z 1.0) 0.5)))
4.0ms
(sqrt (* PI 2.0))