Details

sample1.4s

Algorithm

intervals

Results

599.0ms	60×	body	1280	nan
303.0ms	121×	body	10240	exit
201.0ms	114×	body	1280	valid
93.0ms	73×	body	640	valid
71.0ms	41×	body	320	valid
44.0ms	44×	body	640	nan
19.0ms	21×	body	320	nan
11.0ms	18×	body	160	valid
5.0ms	11×	body	160	nan
3.0ms	11×	body	80	valid
3.0ms	12×	body	80	nan

simplify2.9s

Counts

1 → 1

Iterations

Iter	Nodes
done	5004
3	2200
2	441
1	133
0	55

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 61.2b

localize221.0ms

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))
5.7b	(+ (- z 1.0) 1.0)

rewrite1.6s

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`
9×	`add-exp-log`
7×	`pow1` `sum-log` `unpow-prod-down`
6×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `add-cbrt-cube`
5×	`rem-exp-log`
4×	`associate-l` `neg-log` `distribute-lft-out--`
3×	`prod-exp` `unswap-sqr`
2×	`associate-+l+` `sqrt-pow1` `diff-log` `associate-+l-` `sqrt-prod` `sqr-pow`
1×	`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:

677.0ms	(exp (- (+ (+ (- z 1.0) 7.0) 0.5)))
854.0ms	(* (sqrt (* PI 2.0)) (pow (+ (+ (- z 1.0) 7.0) 0.5) (+ (- z 1.0) 0.5)))
5.0ms	(sqrt (* PI 2.0))
44.0ms	(+ (- z 1.0) 1.0)

series482.0ms

Counts

4 → 10

Calls

4 calls:

30.0ms	(exp (- (+ (+ (- z 1.0) 7.0) 0.5)))
438.0ms	(* (sqrt (* PI 2.0)) (pow (+ (+ (- z 1.0) 7.0) 0.5) (+ (- z 1.0) 0.5)))
0.0ms	(sqrt (* PI 2.0))
14.0ms	(+ (- z 1.0) 1.0)

simplify2.3s

Counts

100 → 100

Iterations

Iter	Nodes
done	5002
2	1767
1	559
0	230

prune1.5s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 1.3b

localize183.0ms

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))
1.2b	(* (* (* (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)))) (+ (+ (+ (+ (+ (+ (+ (+ 0.9999999999998099 (/ 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))))

rewrite9.8m

Algorithm: rewrite-expression-head