Details

sample428.0ms

Algorithm

intervals

Results

149.0ms	137×	body	10240	exit
94.0ms	104×	body	1280	valid
52.0ms	82×	body	640	valid
30.0ms	46×	body	1280	nan
23.0ms	46×	body	640	nan
19.0ms	42×	body	320	valid
7.0ms	18×	body	320	nan
5.0ms	19×	body	160	valid
3.0ms	11×	body	160	nan
2.0ms	12×	body	80	valid
1.0ms	10×	body	80	nan

simplify70.0ms

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

prune26.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 61.7b

localize50.0ms

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))
6.1b	(+ (- z 1.0) 1.0)

rewrite1.5s

Algorithm

rewrite-expression-head

Rules

22×	`*-un-lft-identity`
15×	`add-exp-log` `associate-r`
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+` `sqrt-pow1` `exp-diff` `pow-prod-down` `pow-exp` `sum-log` `sqrt-prod` `*-commutative` `distribute-lft-out--` `sqr-pow`
1×	`unpow-prod-up` `+-commutative` `sub-neg` `distribute-neg-in` `flip3-+` `pow1/2` `diff-log` `exp-sum` `associate-*l/` `un-div-inv` `flip-+`

Counts

4 → 85

Calls

4 calls:

1.2s	(* (* (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))))
319.0ms	(* (sqrt (* PI 2.0)) (pow (+ (+ (- z 1.0) 7.0) 0.5) (+ (- z 1.0) 0.5)))
1.0ms	(sqrt (* PI 2.0))
13.0ms	(+ (- z 1.0) 1.0)

series675.0ms

Counts

4 → 10

Calls

4 calls:

378.0ms	(* (* (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))))
287.0ms	(* (sqrt (* PI 2.0)) (pow (+ (+ (- z 1.0) 7.0) 0.5) (+ (- z 1.0) 0.5)))
0.0ms	(sqrt (* PI 2.0))
10.0ms	(+ (- z 1.0) 1.0)

simplify89.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 2 (78.0ms)

Iter	Nodes	Cost
0	728	1124
1	3136	988
2	5001	982

prune922.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.9b

localize46.0ms

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))))
0.7b	(* (* (* (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 (* 1 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))

rewrite9.9m

Algorithm

rewrite-expression-head

Calls

2 calls:

317.0ms	(* (sqrt (* PI 2.0)) (pow (+ (+ (- z 1.0) 7.0) 0.5) (+ (- z 1.0) 0.5)))
2.0ms	(sqrt (* PI 2.0))