Details

analyze608.0ms (23.6%)

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
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
9.4%	90.5%	0.1%	7
14%	85.8%	0.1%	8
21.1%	78%	0.9%	9
37.3%	60.3%	2.5%	10
39.7%	56.1%	4.2%	11
45.6%	48.7%	5.7%	12
55.9%	35.1%	8.9%	13
57.6%	32.1%	10.3%	14

Compiler

Compiled 13 to 8 computations (38.5% saved)

sample1.0s (39.1%)

Results

883.0ms	8256×	body	128	valid
112.0ms	1092×	body	128	invalid

Compiler

Compiled 26 to 16 computations (38.5% saved)

preprocess40.0ms (1.5%)

Algorithm

2×	egg-herbie

Rules

916×	`fma-def_binary64`
686×	`div-sub_binary64`
212×	`fma-neg_binary64`
171×	`sub-neg_binary64`
160×	`distribute-frac-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	52
1	35	44
2	77	44
3	173	44
4	314	44
5	662	44
6	1319	44
7	2719	44
0	3	3

Stop Event

1×	saturated
1×	node limit

Compiler

Compiled 12 to 7 computations (41.7% saved)

simplify29.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

477×	`fma-neg_binary64`
388×	`div-sub_binary64`
368×	`associate-/l*_binary64`
319×	`fma-def_binary64`
304×	`distribute-neg-frac_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	12	11
2	25	11
3	53	11
4	101	11
5	175	11
6	299	11
7	580	11
8	1635	11
9	4709	11

Stop Event

1×	node limit

Counts

1 → 2

prune7.0ms (0.3%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

11.6b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	11.6b	(/.f64 (fma.f64 y (-.f64 z x) x) z)

Compiler

Compiled 42 to 21 computations (50% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 y (-.f64 z x) x)
✓	10.8b	(/.f64 (fma.f64 y (-.f64 z x) x) z)

series18.0ms (0.7%)

Counts

2 → 72

Calls

18 calls:

1.0ms	(/.f64 (fma.f64 y (-.f64 z x) x) z)	x	-inf
1.0ms	(/.f64 (fma.f64 y (-.f64 z x) x) z)	z	-inf
1.0ms	(/.f64 (fma.f64 y (-.f64 z x) x) z)	y	-inf
1.0ms	(/.f64 (fma.f64 y (-.f64 z x) x) z)	y	0
1.0ms	(/.f64 (fma.f64 y (-.f64 z x) x) z)	y	inf

rewrite47.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

870×	`log1p-expm1-u_binary64`
870×	`expm1-log1p-u_binary64`
441×	`prod-diff_binary64`
83×	`add-sqr-sqrt_binary64`
78×	`add-cbrt-cube_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	19
1	156	19
2	2243	19

Stop Event

1×	node limit

Counts

2 → 56

simplify59.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

524×	`div-sub_binary64`
499×	`fma-def_binary64`
394×	`times-frac_binary64`
284×	`fma-neg_binary64`
137×	`associate-/l*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	32	753
1	84	726
2	195	672
3	483	618
4	1153	618
5	3470	618
6	4957	618

Stop Event

1×	node limit

Counts

128 → 78

prune37.0ms (1.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	75	3	78
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	75	4	79

Error

0.0b

Counts

79 → 4

Alt Table

Status	Error	Program
	21.7b	(*.f64 y (-.f64 1 (/.f64 x z)))
▶	3.6b	(fma.f64 x (/.f64 (-.f64 1 y) z) y)
✓	11.6b	(/.f64 (fma.f64 y (-.f64 z x) x) z)
	11.7b	(pow.f64 (/.f64 z (fma.f64 y (-.f64 z x) x)) -1)

Compiler

Compiled 1012 to 318 computations (68.6% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (-.f64 1 y) z)
✓	3.5b	(fma.f64 x (/.f64 (-.f64 1 y) z) y)

series18.0ms (0.7%)

Counts

2 → 52

Calls

15 calls:

2.0ms	(/.f64 (-.f64 1 y) z)	z	-inf
1.0ms	(fma.f64 x (/.f64 (-.f64 1 y) z) y)	y	-inf
1.0ms	(fma.f64 x (/.f64 (-.f64 1 y) z) y)	y	inf
1.0ms	(fma.f64 x (/.f64 (-.f64 1 y) z) y)	x	-inf
1.0ms	(fma.f64 x (/.f64 (-.f64 1 y) z) y)	x	inf

rewrite60.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

896×	`log1p-expm1-u_binary64`
896×	`expm1-log1p-u_binary64`
270×	`prod-diff_binary64`
94×	`egg-rr`
87×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	18
1	171	18
2	2296	18

Stop Event

1×	node limit

Counts

2 → 94

simplify41.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

751×	`fma-def_binary64`
443×	`fma-neg_binary64`
121×	`distribute-rgt-in_binary64`
91×	`distribute-lft-in_binary64`
76×	`unsub-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	29	563
1	71	563
2	180	501
3	430	461
4	921	461
5	1816	461
6	2522	461
7	2618	461

Stop Event

1×

saturated

Counts

146 → 110

prune77.0ms (3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	107	3	110
Fresh	1	1	2
Picked	1	0	1
Done	0	1	1
Total	109	5	114

Error

Counts

114 → 5

Alt Table

Status	Error	Program
	21.7b	(*.f64 y (-.f64 1 (/.f64 x z)))
	3.6b	(fma.f64 x (*.f64 (-.f64 1 y) (/.f64 1 z)) y)
▶	3.6b	(+.f64 y (*.f64 x (/.f64 (-.f64 1 y) z)))
	35.2b	(/.f64 x (/.f64 z (-.f64 1 y)))
✓	11.6b	(/.f64 (fma.f64 y (-.f64 z x) x) z)

Compiler

Compiled 2599 to 1321 computations (49.2% saved)

localize5.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 y (*.f64 x (/.f64 (-.f64 1 y) z)))
	0.0b	(/.f64 (-.f64 1 y) z)
✓	3.5b	(*.f64 x (/.f64 (-.f64 1 y) z))

series28.0ms (1.1%)

Counts

2 → 72

Calls

18 calls:

3.0ms	(*.f64 x (/.f64 (-.f64 1 y) z))	z	0
2.0ms	(+.f64 y (*.f64 x (/.f64 (-.f64 1 y) z)))	z	-inf
2.0ms	(*.f64 x (/.f64 (-.f64 1 y) z))	x	-inf
2.0ms	(+.f64 y (*.f64 x (/.f64 (-.f64 1 y) z)))	y	-inf
2.0ms	(+.f64 y (*.f64 x (/.f64 (-.f64 1 y) z)))	x	-inf

rewrite53.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

525×	`log-prod_binary64`
302×	`fma-def_binary64`
186×	`expm1-udef_binary64`
185×	`log1p-udef_binary64`
161×	`fma-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	201	21
2	2928	21

Stop Event

1×	node limit

Counts

2 → 85

simplify58.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

488×	`fma-neg_binary64`
296×	`fma-def_binary64`
152×	`distribute-rgt-in_binary64`
118×	`distribute-lft-in_binary64`
84×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	33	760
1	82	760
2	203	706
3	457	706
4	1051	706
5	1986	706
6	2428	706
7	2451	706
8	2451	706

Stop Event

1×

saturated

Counts

157 → 101

prune108.0ms (4.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	176	1	177
Fresh	1	2	3
Picked	1	0	1
Done	0	1	1
Total	178	4	182

Error

Counts

182 → 4

Alt Table

Status	Error	Program
▶	0.1b	(fma.f64 (-.f64 1 y) (/.f64 x z) y)
	35.2b	(/.f64 x (/.f64 z (-.f64 1 y)))
	3.6b	(fma.f64 x (*.f64 (-.f64 1 y) (/.f64 1 z)) y)
✓	11.6b	(/.f64 (fma.f64 y (-.f64 z x) x) z)

Compiler

Compiled 3680 to 1985 computations (46.1% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(fma.f64 (-.f64 1 y) (/.f64 x z) y)

series11.0ms (0.4%)

Counts

1 → 36

Calls

9 calls:

2.0ms	(fma.f64 (-.f64 1 y) (/.f64 x z) y)	x	inf
1.0ms	(fma.f64 (-.f64 1 y) (/.f64 x z) y)	x	-inf
1.0ms	(fma.f64 (-.f64 1 y) (/.f64 x z) y)	y	-inf
1.0ms	(fma.f64 (-.f64 1 y) (/.f64 x z) y)	y	inf
1.0ms	(fma.f64 (-.f64 1 y) (/.f64 x z) y)	y	0

rewrite38.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

859×	`log1p-expm1-u_binary64`
859×	`expm1-log1p-u_binary64`
219×	`prod-diff_binary64`
86×	`add-sqr-sqrt_binary64`
80×	`add-cbrt-cube_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	169	11
2	2222	11

Stop Event

1×	node limit

Counts

1 → 23

simplify42.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

754×	`fma-def_binary64`
513×	`fma-neg_binary64`
128×	`distribute-rgt-in_binary64`
92×	`distribute-lft-in_binary64`
76×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	25	417
1	60	417
2	156	417
3	369	408
4	803	354
5	1595	354
6	2518	354
7	2742	354
8	2779	354

Stop Event

1×

saturated

Counts

59 → 34

prune17.0ms (0.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	34	0	34
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	34	4	38

Error

Counts

38 → 4

Alt Table

Status	Error	Program
✓	0.1b	(fma.f64 (-.f64 1 y) (/.f64 x z) y)
	35.2b	(/.f64 x (/.f64 z (-.f64 1 y)))
	3.6b	(fma.f64 x (*.f64 (-.f64 1 y) (/.f64 1 z)) y)
✓	11.6b	(/.f64 (fma.f64 y (-.f64 z x) x) z)

Compiler

Compiled 452 to 235 computations (48% saved)

regimes97.0ms (3.8%)

Accuracy

Total 0.0b remaining (87.7%)

Threshold costs 0.0b (87.7%)

Counts

28 → 1

Compiler

Compiled 1248 to 808 computations (35.3% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	12	11
2	16	11
3	18	11
4	19	11

Stop Event

1×

saturated

end53.0ms (2.1%)

Stop Event

1×

fuel

Compiler

Compiled 67 to 43 computations (35.8% saved)

Details

analyze608.0ms (23.6%)

sample1.0s (39.1%)

preprocess40.0ms (1.5%)

simplify29.0ms (1.1%)

prune7.0ms (0.3%)

localize5.0ms (0.2%)

series18.0ms (0.7%)

rewrite47.0ms (1.8%)

simplify59.0ms (2.3%)

prune37.0ms (1.4%)

localize5.0ms (0.2%)

series18.0ms (0.7%)

rewrite60.0ms (2.3%)

simplify41.0ms (1.6%)

prune77.0ms (3%)

localize5.0ms (0.2%)

series28.0ms (1.1%)

rewrite53.0ms (2%)

simplify58.0ms (2.3%)

prune108.0ms (4.2%)

localize5.0ms (0.2%)

series11.0ms (0.4%)

rewrite38.0ms (1.5%)

simplify42.0ms (1.6%)

prune17.0ms (0.7%)

regimes97.0ms (3.8%)

simplify2.0ms (0.1%)

end53.0ms (2.1%)

Profiling