Details

analyze676.0ms (5.9%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
25%	74.9%	0.1%	3
25%	74.9%	0.1%	4
31.2%	68.7%	0.1%	5
31.2%	59.3%	9.5%	6
34.3%	54.6%	11%	7
34.3%	49.2%	16.5%	8
35.9%	46.4%	17.7%	9
35.9%	42.1%	22%	10
36.7%	40.6%	22.7%	11
36.7%	39.1%	24.2%	12
37.1%	38.3%	24.7%	13
37.1%	36.7%	26.2%	14

sample278.0ms (2.4%)

Algorithm

1×

intervals

Results

182.0ms	141×	body	5120	exit
38.0ms	88×	body	1280	nan
17.0ms	63×	body	640	nan
16.0ms	256×	body	80	valid
7.0ms	40×	body	320	nan
1.0ms	6×	body	160	nan
0.0ms	7×	body	80	nan
0.0ms	3×	body	80	invalid
0.0ms	2×	body	80	overflowed

simplify71.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4891	7
1	4891	7

prune14.0ms (0.1%)

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: 0.3b

Counts

2 → 2

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(* (exp (neg w)) (pow l (exp w)))
0.3b	(pow l (exp w))

rewrite11.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`add-sqr-sqrt`
7×	`add-cube-cbrt` `unpow-prod-down` `-un-lft-identity` `associate-r*`
5×	`add-exp-log`
4×	`add-cbrt-cube`
3×	`pow1` `pow-unpow` `associate-l` `prod-exp` `unswap-sqr` `sqr-pow`
2×	`pow-to-exp` `associate-*l/` `pow-exp` `add-log-exp`
1×	`neg-sub0` `exp-neg` `pow-pow` `exp-diff` `*-commutative` `cbrt-unprod`

Counts

2 → 44

Calls

2 calls:

8.0ms	(* (exp (neg w)) (pow l (exp w)))
2.0ms	(pow l (exp w))

series38.0ms (0.3%)

Counts

2 → 6

Calls

2 calls:

22.0ms	(* (exp (neg w)) (pow l (exp w)))
16.0ms	(pow l (exp w))

simplify50.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5150	472

prune90.0ms (0.8%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	43	7	50
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	45	7	52

Merged error: 0.1b

Counts

52 → 7

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt (exp (neg w)))
0.0b	(sqrt (exp (neg w)))
0.0b	(* (sqrt (exp (neg w))) (* (pow l (exp w)) (sqrt (exp (neg w)))))
0.3b	(pow l (exp w))

rewrite25.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`sqrt-pow1`
20×	`exp-prod`
18×	`add-sqr-sqrt`
16×	`add-cube-cbrt` `*-un-lft-identity` `sqrt-div`
15×	`add-exp-log`
9×	`pow1` `sqrt-prod` `add-cbrt-cube`
8×	`neg-sub0` `exp-neg` `exp-diff` `associate-*r/`
7×	`prod-exp`
6×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `associate-l`
4×	`frac-times` `add-log-exp`
3×	`unpow-prod-down` `pow-unpow` `cbrt-unprod`
2×	`pow-to-exp` `neg-mul-1` `rem-sqrt-square` `pow1/2` `associate-*l/` `pow-exp`
1×	`pow-pow` `associate-r` `pow-prod-down` `*-commutative` `sqr-pow`

Counts

4 → 97

Calls

4 calls:

14.0ms	(* (sqrt (exp (neg w))) (* (pow l (exp w)) (sqrt (exp (neg w)))))
3.0ms	(sqrt (exp (neg w)))
3.0ms	(sqrt (exp (neg w)))
2.0ms	(pow l (exp w))

series45.0ms (0.4%)

Counts

4 → 12

Calls

4 calls:

22.0ms	(* (sqrt (exp (neg w))) (* (pow l (exp w)) (sqrt (exp (neg w)))))
17.0ms	(pow l (exp w))
3.0ms	(sqrt (exp (neg w)))
3.0ms	(sqrt (exp (neg w)))

simplify42.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5550	749

prune146.0ms (1.3%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	107	2	109
Fresh	1	5	6
Picked	1	0	1
Done	0	0	0
Total	109	7	116

Merged error: 0.1b

Counts

116 → 7

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt (exp w))
0.0b	(* (exp (neg w)) (pow (pow l (sqrt (exp w))) (sqrt (exp w))))
0.3b	(pow l (sqrt (exp w)))
0.3b	(pow (pow l (sqrt (exp w))) (sqrt (exp w)))

rewrite21.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

27×	`unpow-prod-down`
26×	`add-sqr-sqrt`
17×	`add-cube-cbrt` `*-un-lft-identity`
12×	`pow-unpow`
11×	`associate-r`
10×	`add-exp-log`
9×	`pow-exp` `sqrt-prod`
7×	`sqr-pow`
6×	`pow1` `add-cbrt-cube`
5×	`pow-to-exp` `prod-exp` `unswap-sqr`
4×	`sqrt-pow1` `add-log-exp`
3×	`exp-prod` `associate-l`
2×	`pow-pow` `associate-*l/`
1×	`neg-sub0` `exp-neg` `rem-sqrt-square` `pow1/2` `exp-diff` `*-commutative` `cbrt-unprod`

Counts

4 → 97

Calls

4 calls:

10.0ms	(* (exp (neg w)) (pow (pow l (sqrt (exp w))) (sqrt (exp w))))
4.0ms	(pow (pow l (sqrt (exp w))) (sqrt (exp w)))
2.0ms	(pow l (sqrt (exp w)))
2.0ms	(sqrt (exp w))

series88.0ms (0.8%)

Counts

4 → 12

Calls

4 calls:

39.0ms	(* (exp (neg w)) (pow (pow l (sqrt (exp w))) (sqrt (exp w))))
28.0ms	(pow (pow l (sqrt (exp w))) (sqrt (exp w)))
18.0ms	(pow l (sqrt (exp w)))
3.0ms	(sqrt (exp w))

simplify46.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	4977	1080
1	4977	1080

prune164.0ms (1.4%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	105	4	109
Fresh	2	4	6
Picked	1	0	1
Done	0	0	0
Total	108	8	116

Merged error: 0.1b

Counts

116 → 8

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(* (exp (neg w)) (pow (pow (pow l (sqrt (exp w))) (sqrt (sqrt (exp w)))) (sqrt (sqrt (exp w)))))
0.2b	(pow (pow l (sqrt (exp w))) (sqrt (sqrt (exp w))))
0.3b	(pow l (sqrt (exp w)))
0.3b	(pow (pow (pow l (sqrt (exp w))) (sqrt (sqrt (exp w)))) (sqrt (sqrt (exp w))))

rewrite29.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

64×	`unpow-prod-down`
34×	`add-sqr-sqrt`
24×	`pow-unpow`
23×	`add-cube-cbrt` `*-un-lft-identity` `pow-exp`
21×	`sqrt-prod`
15×	`associate-r`
14×	`add-exp-log`
12×	`sqr-pow`
9×	`pow-to-exp`
7×	`prod-exp` `unswap-sqr`
6×	`add-cbrt-cube`
5×	`pow1`
4×	`add-log-exp`
3×	`pow-pow` `associate-l`
2×	`associate-*l/`
1×	`neg-sub0` `exp-neg` `exp-diff` `*-commutative` `cbrt-unprod`

Counts

4 → 127

Calls

4 calls:

12.0ms	(* (exp (neg w)) (pow (pow (pow l (sqrt (exp w))) (sqrt (sqrt (exp w)))) (sqrt (sqrt (exp w)))))
6.0ms	(pow (pow (pow l (sqrt (exp w))) (sqrt (sqrt (exp w)))) (sqrt (sqrt (exp w))))
4.0ms	(pow (pow l (sqrt (exp w))) (sqrt (sqrt (exp w))))
2.0ms	(pow l (sqrt (exp w)))

series168.0ms (1.5%)

Counts

4 → 12

Calls

4 calls:

63.0ms	(* (exp (neg w)) (pow (pow (pow l (sqrt (exp w))) (sqrt (sqrt (exp w)))) (sqrt (sqrt (exp w)))))
54.0ms	(pow (pow (pow l (sqrt (exp w))) (sqrt (sqrt (exp w)))) (sqrt (sqrt (exp w))))
34.0ms	(pow (pow l (sqrt (exp w))) (sqrt (sqrt (exp w))))
18.0ms	(pow l (sqrt (exp w)))

simplify70.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

139 → 139

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4971	2008
1	4971	2008

prune177.0ms (1.6%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	136	3	139
Fresh	2	5	7
Picked	1	0	1
Done	0	0	0
Total	139	8	147

Merged error: 0.1b

Counts

147 → 8

regimes133.0ms (1.2%)

Accuracy

Total 0.2b remaining (70.6%)

Threshold costs 0.2b (70.6%)

bsearch0.0ms (0%)

simplify1.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	19
1	22	19

end0.0ms (0%)

sample9.0s (78.7%)

Algorithm

1×

intervals

Results

6.2s	4800×	body	5120	exit
1.1s	2513×	body	1280	nan
573.0ms	2086×	body	640	nan
493.0ms	8000×	body	80	valid
171.0ms	987×	body	320	nan
31.0ms	288×	body	160	nan
10.0ms	230×	body	80	nan
9.0ms	135×	body	80	overflowed
9.0ms	135×	body	80	invalid
3.0ms	3×	body	2560	nan
2.0ms	1×	body	5120	nan

Details

analyze676.0ms (5.9%)

sample278.0ms (2.4%)

simplify71.0ms (0.6%)

prune14.0ms (0.1%)

localize7.0ms (0.1%)

rewrite11.0ms (0.1%)

series38.0ms (0.3%)

simplify50.0ms (0.4%)

prune90.0ms (0.8%)

localize10.0ms (0.1%)

rewrite25.0ms (0.2%)

series45.0ms (0.4%)

simplify42.0ms (0.4%)

prune146.0ms (1.3%)

localize14.0ms (0.1%)

rewrite21.0ms (0.2%)

series88.0ms (0.8%)

simplify46.0ms (0.4%)

prune164.0ms (1.4%)

localize14.0ms (0.1%)

rewrite29.0ms (0.3%)

series168.0ms (1.5%)

simplify70.0ms (0.6%)

prune177.0ms (1.6%)

regimes133.0ms (1.2%)

bsearch0.0ms (0%)

simplify1.0ms (0%)

end0.0ms (0%)

sample9.0s (78.7%)

Profiling