Details

Time bar (total: 10.0m)

sample1.1s

Algorithm
intervals
Results
425.0ms128×body10240exit
225.0ms118×body1280valid
137.0ms75×body640valid
99.0ms48×body640nan
83.0ms62×body1280nan
33.0ms37×body320valid
15.0ms20×body320nan
12.0ms20×body160valid
6.0ms12×body160nan
2.0msbody80valid
2.0msbody80nan

simplify3.3s

Counts
1 → 1
Iterations
IterNodes
done5004
32200
2441
1133
055

prune23.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 62.0b

localize182.0ms

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))
6.1b
(+ (- z 1.0) 1.0)

rewrite1.3s

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 sum-log unpow-prod-down
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+ sqrt-pow1 diff-log associate-+l- sqrt-prod sqr-pow
neg-sub0 exp-neg pow-to-exp unpow-prod-up +-commutative distribute-neg-in neg-mul-1 sub-neg flip3-+ pow1/2 exp-diff exp-sum pow-prod-down pow-exp associate-*r/ *-commutative cbrt-unprod flip-+ pow-sub
Counts
4 → 90
Calls
4 calls:
567.0ms
(exp (- (+ (+ (- z 1.0) 7.0) 0.5)))
702.0ms
(* (sqrt (* PI 2.0)) (pow (+ (+ (- z 1.0) 7.0) 0.5) (+ (- z 1.0) 0.5)))
3.0ms
(sqrt (* PI 2.0))
20.0ms
(+ (- z 1.0) 1.0)

series378.0ms

Counts
4 → 10
Calls
4 calls:
18.0ms
(exp (- (+ (+ (- z 1.0) 7.0) 0.5)))
349.0ms
(* (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)

simplify2.3s

Counts
100 → 100
Iterations
IterNodes
done5002
21767
1559
0230

prune1.4s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.8b

localize187.0ms

Local error

Found 4 expressions with local error:

0.1b
(exp (- (+ (+ (- z 1.0) 7.0) 0.5)))
0.8b
(* (* (* (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))

rewrite9.8m

Algorithm
rewrite-expression-head
Calls
2 calls:
694.0ms
(* (sqrt (* PI 2.0)) (pow (+ (+ (- z 1.0) 7.0) 0.5) (+ (- z 1.0) 0.5)))
6.0ms
(sqrt (* PI 2.0))