Details

analyze1.5s (26.6%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.6%	0.4%	0
0%	99.6%	0.4%	1
0%	99.6%	0.4%	2
0%	99.6%	0.4%	3
0%	99.6%	0.4%	4
0%	99.6%	0.4%	5
0%	99.6%	0.4%	6
0%	99.6%	0.4%	7
24.9%	74.7%	0.4%	8
24.9%	74.7%	0.4%	9
24.9%	74.7%	0.4%	10
25.7%	73.9%	0.4%	11
25.7%	73.9%	0.4%	12
25.7%	73.9%	0.4%	13
25.7%	73.9%	0.4%	14

sample43.0ms (0.8%)

Algorithm

1×

intervals

Results

22.0ms

256×

body

valid

simplify65.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5482	29

prune14.0ms (0.3%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.0b

Counts

2 → 1

localize20.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 1.0 (exp.f64 (/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT)))
0.0b	(/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT)
0.0b	(exp.f64 (/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT))
0.0b	(exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT))

rewrite55.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

130×	`*-un-lft-identity_binary64`
63×	`times-frac_binary64`
58×	`add-sqr-sqrt_binary64`
51×	`distribute-lft-out--_binary64`
50×	`exp-prod_binary64`
38×	`add-cube-cbrt_binary64`
10×	`distribute-lft-out_binary64` `difference-of-squares_binary64`
8×	`add-log-exp_binary64`
7×	`associate-/l*_binary64`
6×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`pow1_binary64`
3×	`associate-/r*_binary64` `div-sub_binary64` `div-inv_binary64`
2×	`associate-/l/_binary64` `rem-exp-log_binary64` `exp-diff_binary64`
1×	`flip3-+_binary64` `flip3--_binary64` `cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-exp_binary64` `+-commutative_binary64` `flip--_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

4 → 126

Calls

4 calls:

14.0ms	(+.f64 1.0 (exp.f64 (/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT)))
12.0ms	(exp.f64 (/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT))
12.0ms	(exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT))
11.0ms	(/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT)

series101.0ms (1.8%)

Counts

4 → 12

Calls

4 calls:

32.0ms	(+.f64 1.0 (exp.f64 (/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT)))
26.0ms	(exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT))
24.0ms	(exp.f64 (/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT))
18.0ms	(/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT)

simplify54.0ms (1%)

Algorithm

1×	egg-herbie

Counts

138 → 138

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5006	1615

prune182.0ms (3.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	136	2	138
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	137	2	139

Merged error: 0.0b

Counts

139 → 2

localize27.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b	(exp.f64 (/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT))
0.0b	(exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT))
0.0b	(exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT))
0.0b	(exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT))

rewrite58.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

156×	`*-un-lft-identity_binary64`
100×	`exp-prod_binary64`
84×	`times-frac_binary64`
72×	`add-sqr-sqrt_binary64`
48×	`add-cube-cbrt_binary64`
45×	`distribute-lft-out--_binary64`
27×	`distribute-lft-out_binary64`
12×	`difference-of-squares_binary64`
8×	`add-log-exp_binary64`
4×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `rem-exp-log_binary64` `exp-diff_binary64` `div-sub_binary64` `div-inv_binary64`

Counts

4 → 136

Calls

4 calls:

12.0ms	(exp.f64 (/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT))
11.0ms	(exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT))
11.0ms	(exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT))
11.0ms	(exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT))

series101.0ms (1.8%)

Counts

4 → 12

Calls

4 calls:

26.0ms	(exp.f64 (/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT))
25.0ms	(exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT))
25.0ms	(exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT))
25.0ms	(exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT))

simplify53.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

148 → 148

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5016	1472

prune194.0ms (3.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	147	1	148
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	147	3	150

Merged error: 0.0b

Counts

150 → 3

localize29.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b	(exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT))
0.2b	(cbrt.f64 (+.f64 (exp.f64 (/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT)) 1.0))
0.2b	(cbrt.f64 (+.f64 (exp.f64 (/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT)) 1.0))
0.2b	(cbrt.f64 (+.f64 (exp.f64 (/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT)) 1.0))

rewrite66.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

51×	`*-un-lft-identity_binary64`
25×	`exp-prod_binary64`
24×	`add-sqr-sqrt_binary64`
21×	`times-frac_binary64`
18×	`add-cube-cbrt_binary64`
12×	`distribute-lft-out_binary64` `cbrt-prod_binary64`
9×	`distribute-lft-out--_binary64`
6×	`cbrt-div_binary64`
5×	`add-log-exp_binary64`
4×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`flip3-+_binary64` `pow1/3_binary64` `difference-of-squares_binary64` `flip-+_binary64`
1×	`rem-exp-log_binary64` `exp-diff_binary64` `div-sub_binary64` `div-inv_binary64`

Counts

4 → 76

Calls

4 calls:

17.0ms	(cbrt.f64 (+.f64 (exp.f64 (/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT)) 1.0))
16.0ms	(exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT))
16.0ms	(cbrt.f64 (+.f64 (exp.f64 (/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT)) 1.0))
15.0ms	(cbrt.f64 (+.f64 (exp.f64 (/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT)) 1.0))

series292.0ms (5.3%)

Counts

4 → 12

Calls

4 calls:

90.0ms	(cbrt.f64 (+.f64 (exp.f64 (/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT)) 1.0))
89.0ms	(cbrt.f64 (+.f64 (exp.f64 (/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT)) 1.0))
89.0ms	(cbrt.f64 (+.f64 (exp.f64 (/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT)) 1.0))
25.0ms	(exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT))

simplify49.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5122	1373

prune144.0ms (2.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	88	0	88
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	88	3	91

Merged error: 0.0b

Counts

91 → 3

localize35.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.0b	(exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT))
0.0b	(exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT))
11.6b	(sqrt.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT))
11.6b	(sqrt.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT))

rewrite52.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

156×	`*-un-lft-identity_binary64`
86×	`times-frac_binary64`
78×	`add-sqr-sqrt_binary64`
50×	`sqrt-prod_binary64` `exp-prod_binary64`
48×	`add-cube-cbrt_binary64`
36×	`distribute-lft-out_binary64` `distribute-lft-out--_binary64`
12×	`difference-of-squares_binary64`
6×	`add-log-exp_binary64` `pow1_binary64`
4×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `rem-sqrt-square_binary64` `div-inv_binary64`
2×	`pow1/2_binary64` `rem-exp-log_binary64` `sqrt-pow1_binary64` `exp-diff_binary64` `div-sub_binary64` `sqrt-div_binary64`

Counts

4 → 142

Calls

4 calls:

12.0ms	(exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT))
11.0ms	(exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT))
11.0ms	(sqrt.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT))
11.0ms	(sqrt.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT))

series211.0ms (3.8%)

Counts

4 → 12

Calls

4 calls:

80.0ms	(sqrt.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT))
78.0ms	(sqrt.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT))
27.0ms	(exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT))
26.0ms	(exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT))

simplify54.0ms (1%)

Algorithm

1×	egg-herbie

Counts

154 → 154

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5101	1898

prune200.0ms (3.6%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	154	0	154
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	154	3	157

Merged error: 0.0b

Counts

157 → 3

regimes875.0ms (15.7%)

Accuracy

Total 0.0b remaining (23.5%)

Threshold costs 0.0b (23.5%)

bsearch0.0ms (0%)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	226	54
1	226	54

end0.0ms (0%)

sample1.1s (19.9%)

Algorithm

1×

intervals

Results

711.0ms	8000×	body	80	valid
1.0ms	1×	body	5120	exit

Details

analyze1.5s (26.6%)

sample43.0ms (0.8%)

simplify65.0ms (1.2%)

prune14.0ms (0.3%)

localize20.0ms (0.4%)

rewrite55.0ms (1%)

series101.0ms (1.8%)

simplify54.0ms (1%)

prune182.0ms (3.3%)

localize27.0ms (0.5%)

rewrite58.0ms (1%)

series101.0ms (1.8%)

simplify53.0ms (0.9%)

prune194.0ms (3.5%)

localize29.0ms (0.5%)

rewrite66.0ms (1.2%)

series292.0ms (5.3%)

simplify49.0ms (0.9%)

prune144.0ms (2.6%)

localize35.0ms (0.6%)

rewrite52.0ms (0.9%)

series211.0ms (3.8%)

simplify54.0ms (1%)

prune200.0ms (3.6%)

regimes875.0ms (15.7%)

bsearch0.0ms (0%)

simplify6.0ms (0.1%)

end0.0ms (0%)

sample1.1s (19.9%)

Profiling