Details

sample737.0ms

Algorithm

intervals

Results

246.0ms	128×	body	10240	exit
172.0ms	111×	body	1280	valid
87.0ms	78×	body	640	valid
73.0ms	55×	body	1280	nan
51.0ms	49×	body	640	nan
28.0ms	35×	body	320	valid
18.0ms	23×	body	320	nan
11.0ms	22×	body	160	valid
4.0ms	9×	body	160	nan
3.0ms	15×	body	80	nan
3.0ms	11×	body	80	valid

simplify69.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (13.0ms)

Iter	Nodes	Cost
0	133	48
1	453	48
2	2766	47
3	5002	47

prune31.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 61.6b

localize46.0ms

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))
6.7b	(+ (- z 1.0) 1.0)

rewrite449.0ms

Algorithm

rewrite-expression-head

Rules

31×	`*-un-lft-identity`
19×	`add-log-exp`
13×	`add-sqr-sqrt`
12×	`distribute-lft-out`
11×	`associate-r`
9×	`add-exp-log`
8×	`add-cube-cbrt`
7×	`pow1` `unpow-prod-down` `sum-log`
6×	`exp-prod` `add-cbrt-cube`
4×	`associate-+l-` `associate-l` `rem-exp-log`
3×	`prod-exp` `distribute-lft-out--` `unswap-sqr`
2×	`associate-+l+` `sqrt-pow1` `diff-log` `sqrt-prod` `sqr-pow`
1×	`unpow-prod-up` `+-commutative` `pow-to-exp` `sub-neg` `flip3-+` `pow1/2` `exp-diff` `associate-r/` `exp-sum` `pow-prod-down` `pow-exp` `-commutative` `cbrt-unprod` `flip-+` `pow-sub`

Counts

4 → 78

Calls

4 calls:

141.0ms	(exp (+ (+ (- z 1.0) 7.0) 0.5))
291.0ms	(* (sqrt (* PI 2.0)) (pow (+ (+ (- z 1.0) 7.0) 0.5) (+ (- z 1.0) 0.5)))
1.0ms	(sqrt (* PI 2.0))
12.0ms	(+ (- z 1.0) 1.0)

series294.0ms

Counts

4 → 10

Calls

4 calls:

11.0ms	(exp (+ (+ (- z 1.0) 7.0) 0.5))
274.0ms	(* (sqrt (* PI 2.0)) (pow (+ (+ (- z 1.0) 7.0) 0.5) (+ (- z 1.0) 0.5)))
0.0ms	(sqrt (* PI 2.0))
9.0ms	(+ (- z 1.0) 1.0)

simplify60.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	525	641
1	1934	580
2	5001	575

prune874.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.3b

localize53.0ms

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))) (+ (+ (+ (+ (+ (+ (+ (+ 0.9999999999998099 (/ 676.5203681218851 (+ z 0))) (/ -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))))
0.3b	(/ (* (* (sqrt (* PI 2.0)) (pow (+ (+ (- z 1.0) 7.0) 0.5) (+ (- z 1.0) 0.5))) (+ (+ (+ (+ (+ (+ (+ (+ 0.9999999999998099 (/ 676.5203681218851 (+ z 0))) (/ -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)))) (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))

rewrite10.0m

Algorithm

rewrite-expression-head

Calls

2 calls:

293.0ms	(* (sqrt (* PI 2.0)) (pow (+ (+ (- z 1.0) 7.0) 0.5) (+ (- z 1.0) 0.5)))
1.0ms	(sqrt (* PI 2.0))