Details

analyze270.0ms (3.6%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
6.2%	93.6%	0.2%	5
6.2%	68.6%	25.1%	6
6.2%	49.9%	43.9%	7
6.2%	35.9%	57.9%	8
6.2%	25.3%	68.4%	9
6.2%	20.1%	73.7%	10
6.2%	15.7%	78.1%	11
6.2%	12%	81.7%	12
6.2%	9%	84.8%	13
6.2%	7.5%	86.3%	14

sample130.0ms (1.7%)

Algorithm

1×

intervals

Results

63.0ms	162×	body	640	valid
27.0ms	265×	body	80	nan
18.0ms	61×	body	320	valid
2.0ms	13×	body	160	valid
2.0ms	18×	body	80	valid
1.0ms	2×	body	1280	valid

simplify44.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5040	31

prune8.0ms (0.1%)

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: 5.2b

Counts

2 → 1

localize24.0ms (0.3%)

Local error

Found 4 expressions with local error:

2.2b	(-.f64 (sqrt.f64 (+.f64 t 1.0)) (sqrt.f64 t))
2.8b	(-.f64 (sqrt.f64 (+.f64 y 1.0)) (sqrt.f64 y))
2.8b	(-.f64 (sqrt.f64 (+.f64 x 1.0)) (sqrt.f64 x))
3.4b	(-.f64 (sqrt.f64 (+.f64 z 1.0)) (sqrt.f64 z))

rewrite38.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

36×	`add-sqr-sqrt_binary64`
32×	`*-un-lft-identity_binary64` `sqrt-prod_binary64`
16×	`difference-of-squares_binary64`
12×	`add-log-exp_binary64` `distribute-lft-out--_binary64`
4×	`sub-neg_binary64` `pow1_binary64` `flip3--_binary64` `diff-log_binary64` `distribute-lft-out_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `flip--_binary64`

Counts

4 → 72

Calls

4 calls:

9.0ms	(-.f64 (sqrt.f64 (+.f64 x 1.0)) (sqrt.f64 x))
9.0ms	(-.f64 (sqrt.f64 (+.f64 z 1.0)) (sqrt.f64 z))
9.0ms	(-.f64 (sqrt.f64 (+.f64 y 1.0)) (sqrt.f64 y))
9.0ms	(-.f64 (sqrt.f64 (+.f64 t 1.0)) (sqrt.f64 t))

series57.0ms (0.8%)

Counts

4 → 12

Calls

4 calls:

17.0ms	(-.f64 (sqrt.f64 (+.f64 y 1.0)) (sqrt.f64 y))
14.0ms	(-.f64 (sqrt.f64 (+.f64 z 1.0)) (sqrt.f64 z))
13.0ms	(-.f64 (sqrt.f64 (+.f64 t 1.0)) (sqrt.f64 t))
13.0ms	(-.f64 (sqrt.f64 (+.f64 x 1.0)) (sqrt.f64 x))

simplify46.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	4985	1360
1	4985	1360

prune197.0ms (2.6%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	78	6	84
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	79	6	85

Merged error: 0.5b

Counts

85 → 6

localize23.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b	(/.f64 (+.f64 1.0 0) (+.f64 (sqrt.f64 (+.f64 1.0 t)) (sqrt.f64 t)))
2.8b	(-.f64 (sqrt.f64 (+.f64 y 1.0)) (sqrt.f64 y))
2.8b	(-.f64 (sqrt.f64 (+.f64 x 1.0)) (sqrt.f64 x))
3.4b	(-.f64 (sqrt.f64 (+.f64 z 1.0)) (sqrt.f64 z))

rewrite48.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

86×	`*-un-lft-identity_binary64`
44×	`sqrt-prod_binary64`
40×	`add-sqr-sqrt_binary64`
30×	`distribute-lft-out_binary64`
24×	`times-frac_binary64`
16×	`add-cube-cbrt_binary64`
12×	`difference-of-squares_binary64`
10×	`add-log-exp_binary64`
9×	`distribute-lft-out--_binary64`
6×	`associate-/r*_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`pow1_binary64` `associate-/l*_binary64`
3×	`sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `flip--_binary64`
2×	`flip3-+_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `flip-+_binary64`
1×	`cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64`

Counts

4 → 104

Calls

4 calls:

14.0ms	(/.f64 (+.f64 1.0 0) (+.f64 (sqrt.f64 (+.f64 1.0 t)) (sqrt.f64 t)))
11.0ms	(-.f64 (sqrt.f64 (+.f64 x 1.0)) (sqrt.f64 x))
9.0ms	(-.f64 (sqrt.f64 (+.f64 y 1.0)) (sqrt.f64 y))
9.0ms	(-.f64 (sqrt.f64 (+.f64 z 1.0)) (sqrt.f64 z))

series57.0ms (0.8%)

Counts

4 → 12

Calls

4 calls:

16.0ms	(/.f64 (+.f64 1.0 0) (+.f64 (sqrt.f64 (+.f64 1.0 t)) (sqrt.f64 t)))
14.0ms	(-.f64 (sqrt.f64 (+.f64 z 1.0)) (sqrt.f64 z))
14.0ms	(-.f64 (sqrt.f64 (+.f64 x 1.0)) (sqrt.f64 x))
14.0ms	(-.f64 (sqrt.f64 (+.f64 y 1.0)) (sqrt.f64 y))

simplify38.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	4993	1837
1	4993	1837

prune285.0ms (3.8%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	112	4	116
Fresh	2	3	5
Picked	1	0	1
Done	0	0	0
Total	115	7	122

Merged error: 0.4b

Counts

122 → 7

localize46.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.1b	(/.f64 (+.f64 1.0 0) (+.f64 (sqrt.f64 (+.f64 1.0 t)) (sqrt.f64 t)))
0.1b	(/.f64 1.0 (+.f64 (sqrt.f64 (+.f64 1.0 y)) (sqrt.f64 y)))
2.8b	(-.f64 (sqrt.f64 (+.f64 x 1.0)) (sqrt.f64 x))
3.4b	(-.f64 (sqrt.f64 (+.f64 z 1.0)) (sqrt.f64 z))

rewrite48.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

118×	`*-un-lft-identity_binary64`
52×	`sqrt-prod_binary64`
45×	`distribute-lft-out_binary64`
43×	`add-sqr-sqrt_binary64`
42×	`times-frac_binary64`
27×	`add-cube-cbrt_binary64`
12×	`associate-/r*_binary64`
8×	`add-log-exp_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `difference-of-squares_binary64`
7×	`associate-/l*_binary64`
6×	`distribute-lft-out--_binary64`
4×	`pow1_binary64` `associate-/r/_binary64`
3×	`flip3-+_binary64` `flip-+_binary64`
2×	`associate-/l/_binary64` `sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `flip--_binary64`

Counts

4 → 127

Calls

4 calls:

14.0ms	(/.f64 (+.f64 1.0 0) (+.f64 (sqrt.f64 (+.f64 1.0 t)) (sqrt.f64 t)))
11.0ms	(/.f64 1.0 (+.f64 (sqrt.f64 (+.f64 1.0 y)) (sqrt.f64 y)))
9.0ms	(-.f64 (sqrt.f64 (+.f64 z 1.0)) (sqrt.f64 z))
9.0ms	(-.f64 (sqrt.f64 (+.f64 x 1.0)) (sqrt.f64 x))

series56.0ms (0.7%)

Counts

4 → 12

Calls

4 calls:

16.0ms	(/.f64 1.0 (+.f64 (sqrt.f64 (+.f64 1.0 y)) (sqrt.f64 y)))
14.0ms	(-.f64 (sqrt.f64 (+.f64 z 1.0)) (sqrt.f64 z))
13.0ms	(-.f64 (sqrt.f64 (+.f64 x 1.0)) (sqrt.f64 x))
13.0ms	(/.f64 (+.f64 1.0 0) (+.f64 (sqrt.f64 (+.f64 1.0 t)) (sqrt.f64 t)))

simplify56.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

139 → 139

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5574	2128

prune348.0ms (4.6%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	138	1	139
Fresh	1	5	6
Picked	1	0	1
Done	0	0	0
Total	140	6	146

Merged error: 0.3b

Counts

146 → 6

localize26.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b	(/.f64 (+.f64 1.0 0) (+.f64 (sqrt.f64 (+.f64 1.0 t)) (sqrt.f64 t)))
0.1b	(/.f64 1.0 (+.f64 (sqrt.f64 (+.f64 1.0 y)) (sqrt.f64 y)))
0.1b	(/.f64 1.0 (+.f64 (sqrt.f64 (+.f64 1.0 x)) (sqrt.f64 x)))
3.4b	(-.f64 (sqrt.f64 (+.f64 z 1.0)) (sqrt.f64 z))

rewrite52.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

150×	`*-un-lft-identity_binary64`
60×	`distribute-lft-out_binary64` `times-frac_binary64` `sqrt-prod_binary64`
46×	`add-sqr-sqrt_binary64`
38×	`add-cube-cbrt_binary64`
18×	`associate-/r*_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-/l*_binary64`
6×	`add-log-exp_binary64` `associate-/r/_binary64`
4×	`flip3-+_binary64` `pow1_binary64` `difference-of-squares_binary64` `flip-+_binary64`
3×	`cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `distribute-lft-out--_binary64` `div-inv_binary64` `div-exp_binary64`
2×	`associate-/l/_binary64`
1×	`sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `flip--_binary64`

Counts

4 → 150

Calls

4 calls:

13.0ms	(/.f64 (+.f64 1.0 0) (+.f64 (sqrt.f64 (+.f64 1.0 t)) (sqrt.f64 t)))
12.0ms	(/.f64 1.0 (+.f64 (sqrt.f64 (+.f64 1.0 x)) (sqrt.f64 x)))
10.0ms	(/.f64 1.0 (+.f64 (sqrt.f64 (+.f64 1.0 y)) (sqrt.f64 y)))
9.0ms	(-.f64 (sqrt.f64 (+.f64 z 1.0)) (sqrt.f64 z))

series56.0ms (0.7%)

Counts

4 → 12

Calls

4 calls:

16.0ms	(/.f64 (+.f64 1.0 0) (+.f64 (sqrt.f64 (+.f64 1.0 t)) (sqrt.f64 t)))
14.0ms	(-.f64 (sqrt.f64 (+.f64 z 1.0)) (sqrt.f64 z))
14.0ms	(/.f64 1.0 (+.f64 (sqrt.f64 (+.f64 1.0 x)) (sqrt.f64 x)))
13.0ms	(/.f64 1.0 (+.f64 (sqrt.f64 (+.f64 1.0 y)) (sqrt.f64 y)))

simplify61.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

162 → 162

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5818	2423

prune448.0ms (5.9%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	160	2	162
Fresh	1	4	5
Picked	1	0	1
Done	0	0	0
Total	162	6	168

Merged error: 0.0b

Counts

168 → 6

regimes999.0ms (13.2%)

Accuracy

Total 0.0b remaining (43.1%)

Threshold costs 0.0b (43.1%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	42	39
1	42	39

end0.0ms (0%)

sample4.1s (54.2%)

Algorithm

1×

intervals

Results

2.1s	5232×	body	640	valid
931.0ms	9439×	body	80	nan
475.0ms	1611×	body	320	valid
82.0ms	421×	body	160	valid
73.0ms	146×	body	1280	valid
59.0ms	590×	body	80	valid

Details

analyze270.0ms (3.6%)

sample130.0ms (1.7%)

simplify44.0ms (0.6%)

prune8.0ms (0.1%)

localize24.0ms (0.3%)

rewrite38.0ms (0.5%)

series57.0ms (0.8%)

simplify46.0ms (0.6%)

prune197.0ms (2.6%)

localize23.0ms (0.3%)

rewrite48.0ms (0.6%)

series57.0ms (0.8%)

simplify38.0ms (0.5%)

prune285.0ms (3.8%)

localize46.0ms (0.6%)

rewrite48.0ms (0.6%)

series56.0ms (0.7%)

simplify56.0ms (0.7%)

prune348.0ms (4.6%)

localize26.0ms (0.3%)

rewrite52.0ms (0.7%)

series56.0ms (0.7%)

simplify61.0ms (0.8%)

prune448.0ms (5.9%)

regimes999.0ms (13.2%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample4.1s (54.2%)

Profiling