Details

sample981.0ms

Algorithm

intervals

Results

340.0ms	111×	body	10240	exit
212.0ms	106×	body	1280	valid
109.0ms	46×	body	1280	nan
108.0ms	79×	body	640	valid
46.0ms	43×	body	640	nan
37.0ms	43×	body	320	valid
11.0ms	17×	body	320	nan
11.0ms	20×	body	160	valid
8.0ms	13×	body	160	nan
4.0ms	14×	body	80	valid
3.0ms	12×	body	80	nan

simplify3.1s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
3	2879
2	449
1	133
0	55

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 61.9b

localize206.0ms

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)

rewrite4.1s

Algorithm

rewrite-expression-head

Rules

31×	`*-un-lft-identity`
22×	`add-sqr-sqrt`
15×	`associate-r` `add-exp-log` `add-cube-cbrt`
11×	`associate-+l+` `add-cbrt-cube`
10×	`prod-exp`
9×	`pow1` `prod-diff` `add-log-exp`
7×	`unpow-prod-down` `distribute-lft-out`
6×	`associate-*r/`
5×	`fma-def` `associate-l` `associate-+l-`
4×	`expm1-log1p-u` `cbrt-unprod` `log1p-expm1-u` `pow-sub`
3×	`exp-neg` `distribute-lft-out--` `unswap-sqr`
2×	`neg-sub0` `frac-times` `pow-to-exp` `sum-log` `sqrt-pow1` `exp-diff` `pow-prod-down` `pow-exp` `*-commutative` `sqrt-prod` `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-+` `difference-of-squares`

Counts

4 → 107

Calls

4 calls:

3.3s	(* (* (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))))
784.0ms	(* (sqrt (* PI 2.0)) (pow (+ (+ (- z 1.0) 7.0) 0.5) (+ (- z 1.0) 0.5)))
4.0ms	(sqrt (* PI 2.0))
33.0ms	(+ (- z 1.0) 1.0)

series971.0ms

Counts

4 → 10

Calls

4 calls:

608.0ms	(* (* (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))))
352.0ms	(* (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)

simplify3.3s

Counts

117 → 117

Iterations

Iter	Nodes
done	5000
2	4027
1	808
0	290

prune1.9s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.6b

localize241.0ms

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:

776.0ms	(* (sqrt (* PI 2.0)) (pow (+ (+ (- z 1.0) 7.0) 0.5) (+ (- z 1.0) 0.5)))
4.0ms	(sqrt (* PI 2.0))