Details

analyze848.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	99.7%	0.3%	8
0%	90.4%	9.6%	9
0%	45.2%	54.8%	10
0%	45.2%	54.8%	11
0%	45.2%	54.8%	12
0%	45.2%	54.8%	13
0%	44.4%	55.6%	14

sample98.0ms

Algorithm

intervals

Results

24.0ms	323×	body	80	nan
18.0ms	231×	body	80	valid
16.0ms	174×	body	80	invalid
3.0ms	8×	body	640	valid
2.0ms	9×	body	320	valid
1.0ms	8×	body	160	valid
1.0ms	3×	body	320	invalid
1.0ms	4×	body	160	invalid

simplify38.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	4997	17
1	4997	17

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 1.5b

Counts

2 → 2

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (log z) t)
0.0b	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
0.1b	(* y (- (log z) t))
6.1b	(log (- 1.0 z))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

30×	`log-prod`
26×	`add-sqr-sqrt` `*-un-lft-identity`
25×	`associate--l+`
14×	`distribute-rgt-in` `add-cube-cbrt` `distribute-lft-in`
12×	`associate-+r+`
10×	`associate-*r/`
9×	`pow1`
8×	`associate-+l+`
7×	`add-exp-log` `sub-neg` `flip3--` `flip--` `distribute-lft-out--` `add-log-exp`
6×	`associate-r` `add-cbrt-cube`
5×	`difference-of-squares`
4×	`frac-add`
3×	`associate-l` `log-pow`
2×	`log-div`
1×	`+-commutative` `flip3-+` `diff-log` `rem-log-exp` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

4 → 99

Calls

4 calls:

4.0ms	(- (log z) t)
12.0ms	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
7.0ms	(* y (- (log z) t))
3.0ms	(log (- 1.0 z))

series68.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(- (log z) t)
40.0ms	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
16.0ms	(* y (- (log z) t))
3.0ms	(log (- 1.0 z))

simplify29.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 0 (19.0ms)

Iter	Nodes	Cost
0	5466	1410

prune205.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	110	1	111
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	112	1	113

Merged error: 0.0b

Counts

113 → 1

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (log z) t)
0.0b	(* a (- (+ (log 1.0) (- (* (* (/ z 1.0) (/ z 1.0)) -1/2) (* 1.0 z))) b))
0.0b	(+ (* y (- (log z) t)) (* a (- (+ (log 1.0) (- (* (* (/ z 1.0) (/ z 1.0)) -1/2) (* 1.0 z))) b)))
0.1b	(* y (- (log z) t))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

26×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
19×	`associate--l+`
15×	`log-prod`
13×	`add-cube-cbrt` `associate-r`
12×	`distribute-rgt-in` `distribute-lft-in` `associate-*r/`
11×	`pow1`
9×	`sub-neg`
8×	`add-exp-log` `associate-+l+` `add-cbrt-cube`
7×	`flip3--` `flip--` `distribute-lft-out--` `add-log-exp`
6×	`associate-l`
4×	`associate-+r+` `frac-add`
3×	`log-pow` `difference-of-squares`
2×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`
1×	`+-commutative` `flip3-+` `diff-log` `sum-log` `flip-+`

Counts

4 → 103

Calls

4 calls:

4.0ms	(- (log z) t)
16.0ms	(* a (- (+ (log 1.0) (- (* (* (/ z 1.0) (/ z 1.0)) -1/2) (* 1.0 z))) b))
21.0ms	(+ (* y (- (log z) t)) (* a (- (+ (log 1.0) (- (* (* (/ z 1.0) (/ z 1.0)) -1/2) (* 1.0 z))) b)))
7.0ms	(* y (- (log z) t))

series93.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(- (log z) t)
18.0ms	(* a (- (+ (log 1.0) (- (* (* (/ z 1.0) (/ z 1.0)) -1/2) (* 1.0 z))) b))
52.0ms	(+ (* y (- (log z) t)) (* a (- (+ (log 1.0) (- (* (* (/ z 1.0) (/ z 1.0)) -1/2) (* 1.0 z))) b)))
14.0ms	(* y (- (log z) t))

simplify63.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4983	2242
1	4983	2242

prune271.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	115	0	115
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	115	1	116

Merged error: 0.0b

Counts

116 → 1

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	72	30
1	72	30

end0.0ms

sample3.1s

Algorithm

intervals

Results

851.0ms	10656×	body	80	nan
600.0ms	7257×	body	80	valid
438.0ms	5422×	body	80	invalid
109.0ms	260×	body	640	valid
71.0ms	260×	body	320	valid
50.0ms	115×	body	640	invalid
41.0ms	52×	body	1280	valid
34.0ms	125×	body	320	invalid
30.0ms	171×	body	160	valid
18.0ms	108×	body	160	invalid
11.0ms	15×	body	1280	invalid

Details

analyze848.0ms

sample98.0ms

simplify38.0ms

prune16.0ms

localize15.0ms

rewrite31.0ms

series68.0ms

simplify29.0ms

prune205.0ms

localize20.0ms

rewrite52.0ms

series93.0ms

simplify63.0ms

prune271.0ms

simplify2.0ms

end0.0ms

sample3.1s

Profiling