Details

sample1.7s

Algorithm

intervals

Results

569.0ms	79×	body	640	valid
428.0ms	117×	body	10240	exit
370.0ms	115×	body	1280	valid
87.0ms	43×	body	1280	nan
62.0ms	38×	body	640	nan
46.0ms	38×	body	320	valid
37.0ms	15×	body	160	valid
23.0ms	18×	body	320	nan
9.0ms	10×	body	160	nan
6.0ms	14×	body	80	valid
5.0ms	12×	body	80	nan

simplify2.3s

Counts

1 → 1

Iterations

Iter	Nodes
done	5022
3	2620
2	427
1	140
0	55

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 59.8b

localize180.0ms

Local error

Found 4 expressions with local error:

0.1b	(exp (- (+ (+ (- z 1) 7) 0.5)))
1.0b	(* (sqrt (* PI 2)) (pow (+ (+ (- z 1) 7) 0.5) (+ (- z 1) 0.5)))
1.0b	(sqrt (* PI 2))
4.7b	(+ (- z 1) 1)

rewrite996.0ms

Algorithm

rewrite-expression-head

Rules

52×	`*-un-lft-identity`
26×	`add-sqr-sqrt`
20×	`add-log-exp`
17×	`add-cube-cbrt` `distribute-lft-out`
16×	`exp-prod`
11×	`associate-+l+` `associate-r`
9×	`prod-diff` `add-exp-log`
7×	`pow1` `sum-log` `unpow-prod-down` `fma-def`
6×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `add-cbrt-cube`
5×	`distribute-lft-out--` `rem-exp-log`
4×	`expm1-log1p-u` `associate-l` `neg-log` `insert-posit16` `log1p-expm1-u`
3×	`prod-exp` `unswap-sqr`
2×	`sqrt-pow1` `diff-log` `associate-+l-` `sqrt-prod` `difference-of-squares` `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` `difference-of-sqr-1` `exp-sum` `pow-prod-down` `pow-exp` `associate-r/` `-commutative` `cbrt-unprod` `flip-+` `pow-sub`

Counts

4 → 118

Calls

4 calls:

446.0ms	(exp (- (+ (+ (- z 1) 7) 0.5)))
497.0ms	(* (sqrt (* PI 2)) (pow (+ (+ (- z 1) 7) 0.5) (+ (- z 1) 0.5)))
7.0ms	(sqrt (* PI 2))
42.0ms	(+ (- z 1) 1)

series440.0ms

Counts

4 → 10

Calls

4 calls:

19.0ms	(exp (- (+ (+ (- z 1) 7) 0.5)))
408.0ms	(* (sqrt (* PI 2)) (pow (+ (+ (- z 1) 7) 0.5) (+ (- z 1) 0.5)))
0.0ms	(sqrt (* PI 2))
12.0ms	(+ (- z 1) 1)

simplify2.7s

Counts

128 → 128

Iterations

Iter	Nodes
done	5000
2	2001
1	620
0	252

prune2.0s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.6b

localize192.0ms

Local error

Found 4 expressions with local error:

0.1b	(exp (- (+ (+ (- z 1) 7) 0.5)))
0.6b	(* (* (* (sqrt (* PI 2)) (pow (+ (+ (- z 1) 7) 0.5) (+ (- z 1) 0.5))) (exp (- (+ (+ (- z 1) 7) 0.5)))) (+ (+ (+ (+ (+ (+ (+ (+ 0.9999999999998099 (/ 676.5203681218851 z)) (/ -1259.1392167224028 (+ (- z 1) 2))) (/ 771.3234287776531 (+ (- z 1) 3))) (/ -176.6150291621406 (+ (- z 1) 4))) (/ 12.507343278686905 (+ (- z 1) 5))) (/ -0.13857109526572012 (+ (- z 1) 6))) (/ 9.984369578019572e-06 (+ (- z 1) 7))) (/ 1.5056327351493116e-07 (+ (- z 1) 8))))
1.0b	(* (sqrt (* PI 2)) (pow (+ (+ (- z 1) 7) 0.5) (+ (- z 1) 0.5)))
1.0b	(sqrt (* PI 2))

rewrite9.8m

Algorithm

rewrite-expression-head

Calls

2 calls:

607.0ms	(* (sqrt (* PI 2)) (pow (+ (+ (- z 1) 7) 0.5) (+ (- z 1) 0.5)))
7.0ms	(sqrt (* PI 2))