Details

sample961.0ms

Algorithm

intervals

Results

222.0ms	111×	body	10240	exit
197.0ms	106×	body	1280	valid
146.0ms	79×	body	640	valid
140.0ms	46×	body	1280	nan
48.0ms	43×	body	640	nan
37.0ms	43×	body	320	valid
12.0ms	17×	body	320	nan
11.0ms	20×	body	160	valid
6.0ms	13×	body	160	nan
4.0ms	14×	body	80	valid
3.0ms	12×	body	80	nan

simplify2.9s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
3	2825
2	447
1	133
0	55

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 61.9b

localize195.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* (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))))
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))
5.3b	(+ (- z 1.0) 1.0)

rewrite3.4s

Algorithm

rewrite-expression-head

Rules

22×	`*-un-lft-identity`
15×	`associate-r` `add-exp-log`
13×	`add-sqr-sqrt`
11×	`add-cbrt-cube`
10×	`prod-exp`
9×	`pow1` `add-log-exp`
8×	`add-cube-cbrt`
7×	`unpow-prod-down` `distribute-lft-out`
6×	`associate-*r/`
5×	`associate-l` `associate-+l-`
4×	`cbrt-unprod` `pow-sub`
3×	`exp-neg` `unswap-sqr`
2×	`neg-sub0` `frac-times` `pow-to-exp` `associate-+l+` `sum-log` `sqrt-pow1` `exp-diff` `pow-prod-down` `pow-exp` `*-commutative` `sqrt-prod` `distribute-lft-out--` `sqr-pow`
1×	`unpow-prod-up` `+-commutative` `distribute-neg-in` `sub-neg` `flip3-+` `pow1/2` `diff-log` `exp-sum` `associate-*l/` `un-div-inv` `flip-+`

Counts

4 → 85

Calls

4 calls:

2.7s	(* (* (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))))
708.0ms	(* (sqrt (* PI 2.0)) (pow (+ (+ (- z 1.0) 7.0) 0.5) (+ (- z 1.0) 0.5)))
4.0ms	(sqrt (* PI 2.0))
21.0ms	(+ (- z 1.0) 1.0)

series1.1s

Counts

4 → 10

Calls

4 calls:

721.0ms	(* (* (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))))
407.0ms	(* (sqrt (* PI 2.0)) (pow (+ (+ (- z 1.0) 7.0) 0.5) (+ (- z 1.0) 0.5)))
0.0ms	(sqrt (* PI 2.0))
16.0ms	(+ (- z 1.0) 1.0)

simplify3.5s

Counts

95 → 95

Iterations

Iter	Nodes
done	5002
2	3774
1	749
0	268

prune1.5s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.5b

localize249.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* (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))))
0.5b	(* (* (* (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))

rewrite9.8m

Algorithm

rewrite-expression-head

Calls

2 calls:

620.0ms	(* (sqrt (* PI 2.0)) (pow (+ (+ (- z 1.0) 7.0) 0.5) (+ (- z 1.0) 0.5)))
3.0ms	(sqrt (* PI 2.0))