Details

analyze1.3s (28.3%)

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
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
2.3%	97.4%	0.2%	9
3.5%	96.2%	0.2%	10
9.5%	90.2%	0.2%	11
14.3%	85.4%	0.2%	12
22.4%	77.4%	0.2%	13
29.7%	70%	0.2%	14

Compiler

Compiled 17 to 11 computations (35.3% saved)

sample1.2s (26%)

Results

1.0s	8255×	body	128	valid
91.0ms	759×	body	128	invalid
0.0ms	1×	body	512	valid

Compiler

Compiled 34 to 22 computations (35.3% saved)

preprocess40.0ms (0.9%)

Algorithm

2×	egg-herbie

Rules

940×	`div-sub_binary64`
392×	`fma-def_binary64`
305×	`distribute-rgt-in_binary64`
264×	`distribute-lft-in_binary64`
256×	`times-frac_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	176
1	138	154
2	294	154
3	617	154
4	1469	154
5	3950	154
0	5	5

Stop Event

1×	saturated
1×	node limit

Compiler

Compiled 16 to 10 computations (37.5% saved)

simplify22.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

575×	`div-sub_binary64`
522×	`times-frac_binary64`
522×	`fma-neg_binary64`
259×	`fma-def_binary64`
198×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	16
1	22	14
2	44	14
3	88	14
4	193	14
5	384	14
6	898	14
7	2363	14

Stop Event

1×	node limit

Counts

1 → 2

prune3.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

1.1b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	1.1b	(+.f64 x (*.f64 y (/.f64 (-.f64 z t) (-.f64 z a))))

Compiler

Compiled 58 to 34 computations (41.4% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 x (*.f64 y (/.f64 (-.f64 z t) (-.f64 z a))))
✓	0.0b	(/.f64 (-.f64 z t) (-.f64 z a))
✓	1.6b	(*.f64 y (/.f64 (-.f64 z t) (-.f64 z a)))

series82.0ms (1.9%)

Counts

3 → 144

Calls

36 calls:

4.0ms	(*.f64 y (/.f64 (-.f64 z t) (-.f64 z a)))	z	0
3.0ms	(+.f64 x (*.f64 y (/.f64 (-.f64 z t) (-.f64 z a))))	x	-inf
3.0ms	(+.f64 x (*.f64 y (/.f64 (-.f64 z t) (-.f64 z a))))	t	0
3.0ms	(+.f64 x (*.f64 y (/.f64 (-.f64 z t) (-.f64 z a))))	z	0
3.0ms	(+.f64 x (*.f64 y (/.f64 (-.f64 z t) (-.f64 z a))))	a	0

rewrite69.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

280×	`fma-neg_binary64`
254×	`expm1-udef_binary64`
254×	`log1p-udef_binary64`
138×	`add-sqr-sqrt_binary64`
133×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	39
1	258	37
2	4066	37

Stop Event

1×	node limit

Counts

3 → 110

simplify76.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

717×	`cancel-sign-sub-inv_binary64`
661×	`times-frac_binary64`
451×	`sub-neg_binary64`
213×	`associate--l+_binary64`
187×	`associate--r+_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	202	4438
1	671	4195
2	2322	3525

Stop Event

1×	node limit

Counts

254 → 223

prune179.0ms (4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	219	4	223
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	219	5	224

Error

Counts

224 → 5

Alt Table

Status	Error	Program
	21.4b	(+.f64 y (-.f64 x (/.f64 t (/.f64 z y))))
✓	1.1b	(+.f64 x (*.f64 y (/.f64 (-.f64 z t) (-.f64 z a))))
	2.9b	(+.f64 x (*.f64 (/.f64 y (-.f64 z a)) (-.f64 z t)))
	11.3b	(+.f64 x (/.f64 (*.f64 (-.f64 z t) y) (-.f64 z a)))
▶	0.6b	(+.f64 x (/.f64 y (/.f64 (-.f64 z a) (-.f64 z t))))

Compiler

Compiled 5416 to 1872 computations (65.4% saved)

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 x (/.f64 y (/.f64 (-.f64 z a) (-.f64 z t))))
✓	0.0b	(/.f64 (-.f64 z a) (-.f64 z t))
✓	1.2b	(/.f64 y (/.f64 (-.f64 z a) (-.f64 z t)))

series106.0ms (2.4%)

Counts

3 → 144

Calls

36 calls:

15.0ms	(/.f64 (-.f64 z a) (-.f64 z t))	a	0
12.0ms	(/.f64 y (/.f64 (-.f64 z a) (-.f64 z t)))	z	-inf
4.0ms	(+.f64 x (/.f64 y (/.f64 (-.f64 z a) (-.f64 z t))))	x	-inf
4.0ms	(+.f64 x (/.f64 y (/.f64 (-.f64 z a) (-.f64 z t))))	z	-inf
3.0ms	(+.f64 x (/.f64 y (/.f64 (-.f64 z a) (-.f64 z t))))	t	-inf

rewrite69.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

260×	`expm1-udef_binary64`
260×	`log1p-udef_binary64`
142×	`add-sqr-sqrt_binary64`
137×	`log1p-expm1-u_binary64`
137×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	39
1	264	37
2	4345	37

Stop Event

1×	node limit

Counts

3 → 118

simplify96.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

820×	`times-frac_binary64`
711×	`cancel-sign-sub-inv_binary64`
436×	`sub-neg_binary64`
210×	`associate--l+_binary64`
182×	`associate--r+_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	215	4438
1	702	4195
2	2428	4075

Stop Event

1×	node limit

Counts

262 → 230

prune166.0ms (3.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	229	1	230
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	230	5	235

Error

Counts

235 → 5

Alt Table

Status	Error	Program
	21.4b	(+.f64 y (-.f64 x (/.f64 t (/.f64 z y))))
✓	1.1b	(+.f64 x (*.f64 y (/.f64 (-.f64 z t) (-.f64 z a))))
	11.3b	(+.f64 x (/.f64 (*.f64 (-.f64 z t) y) (-.f64 z a)))
✓	0.6b	(+.f64 x (/.f64 y (/.f64 (-.f64 z a) (-.f64 z t))))
▶	2.9b	(fma.f64 (/.f64 y (-.f64 z a)) (-.f64 z t) x)

Compiler

Compiled 5716 to 1898 computations (66.8% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 y (-.f64 z a))
✓	2.8b	(fma.f64 (/.f64 y (-.f64 z a)) (-.f64 z t) x)

series46.0ms (1%)

Counts

2 → 84

Calls

24 calls:

3.0ms	(fma.f64 (/.f64 y (-.f64 z a)) (-.f64 z t) x)	z	-inf
3.0ms	(fma.f64 (/.f64 y (-.f64 z a)) (-.f64 z t) x)	x	-inf
3.0ms	(fma.f64 (/.f64 y (-.f64 z a)) (-.f64 z t) x)	z	0
3.0ms	(fma.f64 (/.f64 y (-.f64 z a)) (-.f64 z t) x)	a	0
2.0ms	(fma.f64 (/.f64 y (-.f64 z a)) (-.f64 z t) x)	z	inf

rewrite57.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

805×	`prod-diff_binary64`
220×	`log1p-udef_binary64`
120×	`add-sqr-sqrt_binary64`
114×	`log1p-expm1-u_binary64`
114×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	21
1	224	21
2	3280	21

Stop Event

1×	node limit

Counts

2 → 58

simplify49.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

685×	`times-frac_binary64`
669×	`fma-def_binary64`
558×	`associate-/l*_binary64`
338×	`cancel-sign-sub-inv_binary64`
306×	`associate-/r*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	157	2442
1	510	2442
2	1573	1848

Stop Event

1×	node limit

Counts

142 → 123

prune78.0ms (1.8%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	123	0	123
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	123	5	128

Error

Counts

128 → 5

Alt Table

Status	Error	Program
	21.4b	(+.f64 y (-.f64 x (/.f64 t (/.f64 z y))))
✓	1.1b	(+.f64 x (*.f64 y (/.f64 (-.f64 z t) (-.f64 z a))))
▶	11.3b	(+.f64 x (/.f64 (*.f64 (-.f64 z t) y) (-.f64 z a)))
✓	0.6b	(+.f64 x (/.f64 y (/.f64 (-.f64 z a) (-.f64 z t))))
✓	2.9b	(fma.f64 (/.f64 y (-.f64 z a)) (-.f64 z t) x)

Compiler

Compiled 2644 to 878 computations (66.8% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 x (/.f64 (*.f64 (-.f64 z t) y) (-.f64 z a)))
✓	11.3b	(/.f64 (*.f64 (-.f64 z t) y) (-.f64 z a))

series74.0ms (1.7%)

Counts

2 → 96

Calls

27 calls:

7.0ms	(+.f64 x (/.f64 (*.f64 (-.f64 z t) y) (-.f64 z a)))	z	0
5.0ms	(+.f64 x (/.f64 (*.f64 (-.f64 z t) y) (-.f64 z a)))	y	0
4.0ms	(+.f64 x (/.f64 (*.f64 (-.f64 z t) y) (-.f64 z a)))	a	-inf
4.0ms	(/.f64 (*.f64 (-.f64 z t) y) (-.f64 z a))	a	0
3.0ms	(+.f64 x (/.f64 (*.f64 (-.f64 z t) y) (-.f64 z a)))	a	0

rewrite62.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

265×	`fma-neg_binary64`
250×	`expm1-udef_binary64`
250×	`log1p-udef_binary64`
136×	`add-sqr-sqrt_binary64`
131×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	29
1	255	29
2	3986	29

Stop Event

1×	node limit

Counts

2 → 81

simplify61.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

668×	`fma-def_binary64`
539×	`times-frac_binary64`
519×	`cancel-sign-sub-inv_binary64`
467×	`associate-/l*_binary64`
268×	`sub-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	144	3284
1	483	3284
2	1611	2432

Stop Event

1×	node limit

Counts

177 → 159

prune95.0ms (2.2%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	159	0	159
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	159	5	164

Error

Counts

164 → 5

Alt Table

Status	Error	Program
	21.4b	(+.f64 y (-.f64 x (/.f64 t (/.f64 z y))))
✓	1.1b	(+.f64 x (*.f64 y (/.f64 (-.f64 z t) (-.f64 z a))))
✓	11.3b	(+.f64 x (/.f64 (*.f64 (-.f64 z t) y) (-.f64 z a)))
✓	0.6b	(+.f64 x (/.f64 y (/.f64 (-.f64 z a) (-.f64 z t))))
✓	2.9b	(fma.f64 (/.f64 y (-.f64 z a)) (-.f64 z t) x)

Compiler

Compiled 3910 to 1214 computations (69% saved)

regimes503.0ms (11.3%)

Accuracy

Total 1.3b remaining (99.3%)

Threshold costs 0b (0%)

Counts

71 → 1

Compiler

Compiled 9114 to 5790 computations (36.5% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

5×	`+-commutative_binary64`
4×	`sub-neg_binary64`
2×	`*-commutative_binary64`
2×	`neg-sub0_binary64`
2×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	16
1	16	16
2	24	16
3	28	16
4	30	16

Stop Event

1×

saturated

end61.0ms (1.4%)

Stop Event

1×

fuel

Compiler

Compiled 109 to 68 computations (37.6% saved)

Details

analyze1.3s (28.3%)

sample1.2s (26%)

preprocess40.0ms (0.9%)

simplify22.0ms (0.5%)

prune3.0ms (0.1%)

localize7.0ms (0.2%)

series82.0ms (1.9%)

rewrite69.0ms (1.6%)

simplify76.0ms (1.7%)

prune179.0ms (4%)

localize10.0ms (0.2%)

series106.0ms (2.4%)

rewrite69.0ms (1.5%)

simplify96.0ms (2.2%)

prune166.0ms (3.7%)

localize7.0ms (0.2%)

series46.0ms (1%)

rewrite57.0ms (1.3%)

simplify49.0ms (1.1%)

prune78.0ms (1.8%)

localize8.0ms (0.2%)

series74.0ms (1.7%)

rewrite62.0ms (1.4%)

simplify61.0ms (1.4%)

prune95.0ms (2.2%)

regimes503.0ms (11.3%)

simplify3.0ms (0.1%)

end61.0ms (1.4%)

Profiling