Details

analyze4.5s

Algorithm

Search

True	Other	False	Iter
0%	25%	75%	0
0%	25%	75%	1
0%	25%	75%	2
0%	25%	75%	3
0%	25%	75%	4
0%	25%	75%	5
0%	25%	75%	6
0%	25%	75%	7
0%	25%	75%	8
1.6%	23.4%	75%	9
1.6%	23.4%	75%	10
1.6%	23.4%	75%	11
1.6%	23.4%	75%	12
1.6%	23.4%	75%	13
1.6%	23.4%	75%	14

sample5.7s

Algorithm

intervals

Results

3.7s	506×	body	5120	exit
787.0ms	294×	body	1280	overflowed
448.0ms	2132×	body	80	overflowed
380.0ms	262×	body	640	overflowed
112.0ms	135×	body	320	overflowed
89.0ms	3648×	pre	80	true
33.0ms	246×	body	80	valid
29.0ms	63×	body	160	overflowed
9.0ms	3×	body	1280	valid
8.0ms	1×	body	5120	valid
3.0ms	2×	body	640	valid
1.0ms	3×	body	160	valid
1.0ms	1×	body	320	valid

simplify62.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	5513	43

prune11.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 6.5b

Counts

2 → 1

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 1.0 (/ 1.0 (+ 1.0 (exp (neg s)))))
1.5b	(pow (/ 1.0 (+ 1.0 (exp (neg s)))) c_p)
1.9b	(pow (/ 1.0 (+ 1.0 (exp (neg t)))) c_p)
2.7b	(/ (* (pow (/ 1.0 (+ 1.0 (exp (neg s)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (neg s))))) c_n)) (* (pow (/ 1.0 (+ 1.0 (exp (neg t)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (neg t))))) c_n)))

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

556×	`add-exp-log`
312×	`prod-exp`
264×	`pow-exp`
249×	`div-exp`
184×	`pow-to-exp`
36×	`unpow-prod-down` `*-un-lft-identity`
27×	`add-sqr-sqrt`
26×	`times-frac`
22×	`add-cube-cbrt`
16×	`add-cbrt-cube`
6×	`pow1` `pow-unpow` `distribute-lft-out` `add-log-exp`
4×	`cbrt-undiv` `associate-/r/` `cbrt-unprod`
3×	`div-inv`
2×	`pow-pow` `flip3-+` `flip-+` `difference-of-squares` `sqr-pow`
1×	`sub-neg` `flip3--` `frac-2neg` `diff-log` `clear-num` `associate-/r` `flip--` `associate-/l` `distribute-lft-out--`

Counts

4 → 266

Calls

4 calls:

9.0ms	(- 1.0 (/ 1.0 (+ 1.0 (exp (neg s)))))
7.0ms	(pow (/ 1.0 (+ 1.0 (exp (neg s)))) c_p)
7.0ms	(pow (/ 1.0 (+ 1.0 (exp (neg t)))) c_p)
39.0ms	(/ (* (pow (/ 1.0 (+ 1.0 (exp (neg s)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (neg s))))) c_n)) (* (pow (/ 1.0 (+ 1.0 (exp (neg t)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (neg t))))) c_n)))

series219.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(- 1.0 (/ 1.0 (+ 1.0 (exp (neg s)))))
14.0ms	(pow (/ 1.0 (+ 1.0 (exp (neg s)))) c_p)
15.0ms	(pow (/ 1.0 (+ 1.0 (exp (neg t)))) c_p)
183.0ms	(/ (* (pow (/ 1.0 (+ 1.0 (exp (neg s)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (neg s))))) c_n)) (* (pow (/ 1.0 (+ 1.0 (exp (neg t)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (neg t))))) c_n)))

simplify116.0ms

Algorithm

egg-herbie

Counts

278 → 278

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	5007	9442

prune285.0ms

Filtered

75 candidates to 278 candidates (-270.7%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	276	2	278
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	277	2	279

Merged error: 0b

Counts

279 → 2

localize10.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (* s 0.5) (- c_p c_n))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1` `add-exp-log` `add-cbrt-cube`
5×	`associate-r`
4×	`add-sqr-sqrt` `*-un-lft-identity`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`add-cube-cbrt` `sub-neg` `associate-*r/`
1×	`distribute-rgt-in` `flip3--` `distribute-lft-in` `associate-l` `*-commutative` `flip--` `distribute-lft-out--` `add-log-exp` `difference-of-squares`

Counts

1 → 24

Calls

1 calls:

7.0ms

(* (* s 0.5) (- c_p c_n))

series9.0ms

Counts

1 → 3

Calls

1 calls:

9.0ms

(* (* s 0.5) (- c_p c_n))

simplify32.0ms

Algorithm

egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5041	220

prune29.0ms

Filtered

16 candidates to 27 candidates (-68.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	27	0	27
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	27	2	29

Merged error: 0b

Counts

29 → 2

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 1.0 (/ 1.0 (+ 1.0 (exp (neg s)))))
0.2b	(* c_p (+ (log 0.5) (* t 0.5)))
1.2b	(/ (* (pow (/ 1.0 (+ 1.0 (exp (neg s)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (neg s))))) c_n)) (* (+ 1 (* c_p (+ (log 0.5) (* t 0.5)))) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (neg t))))) c_n)))
1.5b	(pow (/ 1.0 (+ 1.0 (exp (neg s)))) c_p)

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

171×	`add-exp-log`
88×	`prod-exp`
65×	`div-exp`
55×	`pow-exp`
42×	`pow-to-exp`
23×	`*-un-lft-identity`
22×	`add-sqr-sqrt`
18×	`unpow-prod-down` `add-cbrt-cube`
15×	`add-cube-cbrt`
14×	`times-frac`
7×	`pow1`
6×	`add-log-exp`
5×	`cbrt-unprod`
4×	`cbrt-undiv` `associate-/r/`
3×	`pow-unpow` `flip3-+` `associate-r` `associate-l` `flip-+` `distribute-lft-out`
2×	`associate-r/` `associate-l/` `div-inv` `difference-of-squares`
1×	`distribute-rgt-in` `sub-neg` `flip3--` `pow-pow` `frac-2neg` `distribute-lft-in` `diff-log` `pow-prod-down` `clear-num` `associate-/r` `-commutative` `flip--` `associate-/l*` `distribute-lft-out--` `unswap-sqr` `sqr-pow`

Counts

4 → 140

Calls

4 calls:

10.0ms	(- 1.0 (/ 1.0 (+ 1.0 (exp (neg s)))))
5.0ms	(* c_p (+ (log 0.5) (* t 0.5)))
33.0ms	(/ (* (pow (/ 1.0 (+ 1.0 (exp (neg s)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (neg s))))) c_n)) (* (+ 1 (* c_p (+ (log 0.5) (* t 0.5)))) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (neg t))))) c_n)))
7.0ms	(pow (/ 1.0 (+ 1.0 (exp (neg s)))) c_p)

series244.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(- 1.0 (/ 1.0 (+ 1.0 (exp (neg s)))))
11.0ms	(* c_p (+ (log 0.5) (* t 0.5)))
207.0ms	(/ (* (pow (/ 1.0 (+ 1.0 (exp (neg s)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (neg s))))) c_n)) (* (+ 1 (* c_p (+ (log 0.5) (* t 0.5)))) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (neg t))))) c_n)))
18.0ms	(pow (/ 1.0 (+ 1.0 (exp (neg s)))) c_p)

simplify48.0ms

Algorithm

egg-herbie

Counts

152 → 152

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5235	4422

prune257.0ms

Filtered

73 candidates to 152 candidates (-108.2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	152	0	152
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	152	2	154

Merged error: 0b

Counts

154 → 2

regimes396.0ms

bsearch6.1s

Steps

Iters	Range		Point
9	-8.209069461946436e-81	-6.084265333918678e-86	-7.576949125074404e-81

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	57
1	47	57

end0.0ms

analyze4.4s

Algorithm

Search

True	Other	False	Iter
0%	25%	75%	0
0%	25%	75%	1
0%	25%	75%	2
0%	25%	75%	3
0%	25%	75%	4
0%	25%	75%	5
0%	25%	75%	6
0%	25%	75%	7
0%	25%	75%	8
1.6%	23.4%	75%	9
1.6%	23.4%	75%	10
1.6%	23.4%	75%	11
1.6%	23.4%	75%	12
1.6%	23.4%	75%	13
1.6%	23.4%	75%	14

sample16.8s

Algorithm

intervals

Results

10.9s	1588×	body	5120	exit
2.3s	894×	body	1280	overflowed
1.4s	7159×	body	80	overflowed
1.1s	804×	body	640	overflowed
325.0ms	413×	body	320	overflowed
264.0ms	11900×	pre	80	true
105.0ms	822×	body	80	valid
86.0ms	196×	body	160	overflowed
17.0ms	2×	body	5120	valid
15.0ms	6×	body	1280	valid
4.0ms	3×	body	640	valid
3.0ms	9×	body	160	valid
2.0ms	3×	body	320	valid
0.0ms	1×	body	80	invalid

Details

analyze4.5s

sample5.7s

simplify62.0ms

prune11.0ms

localize26.0ms

rewrite84.0ms

series219.0ms

simplify116.0ms

prune285.0ms

localize10.0ms

rewrite8.0ms

series9.0ms

simplify32.0ms

prune29.0ms

localize32.0ms

rewrite61.0ms

series244.0ms

simplify48.0ms

prune257.0ms

regimes396.0ms

bsearch6.1s

simplify1.0ms

end0.0ms

analyze4.4s

sample16.8s

Profiling