Details

analyze345.0ms (5.9%)

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%	74.9%	25.1%	3
0%	74.9%	25.1%	4
0%	49.9%	50.1%	5
0%	43.7%	56.3%	6
0%	34.3%	65.7%	7
3.1%	31.2%	65.7%	8
3.1%	28.1%	68.8%	9
4.7%	25%	70.4%	10
7%	20.3%	72.7%	11
10.5%	16.8%	72.7%	12
10.5%	16%	73.5%	13
12.3%	13.8%	73.9%	14

Compiler

Compiled 16 to 11 computations (31.3% saved)

sample1.2s (21.1%)

Results

1.2s	8253×	body	128	valid
55.0ms	463×	body	128	invalid
1.0ms	2×	body	512	valid
1.0ms	1×	body	1024	valid

Compiler

Compiled 32 to 22 computations (31.3% saved)

preprocess34.0ms (0.6%)

Algorithm

2×	egg-herbie

Rules

662×	`fma-def_binary64`
621×	`fma-neg_binary64`
474×	`sub-neg_binary64`
418×	`cancel-sign-sub-inv_binary64`
355×	`associate--r-_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	119
1	97	119
2	315	119
3	940	105
4	2381	105
0	4	4

Stop Event

1×	saturated
1×	node limit

Compiler

Compiled 15 to 10 computations (33.3% saved)

simplify39.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1015×	`fma-neg_binary64`
287×	`distribute-rgt-in_binary64`
278×	`unsub-neg_binary64`
236×	`fma-def_binary64`
223×	`sub-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	11	17
1	22	17
2	59	17
3	163	15
4	407	15
5	914	15
6	1368	15
7	1823	15
8	2104	15
9	2873	15
10	4681	15

Stop Event

1×	node limit

Counts

1 → 2

prune3.0ms (0%)

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

0.1b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	0.1b	(-.f64 (fma.f64 x (log.f64 y) (log.f64 t)) (+.f64 y z))

Compiler

Compiled 53 to 31 computations (41.5% saved)

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (fma.f64 x (log.f64 y) (log.f64 t)) (+.f64 y z))
✓	0.2b	(fma.f64 x (log.f64 y) (log.f64 t))

series674.0ms (11.5%)

Counts

2 → 84

Calls

21 calls:

62.0ms	(fma.f64 x (log.f64 y) (log.f64 t))	y	inf
56.0ms	(fma.f64 x (log.f64 y) (log.f64 t))	y	-inf
54.0ms	(fma.f64 x (log.f64 y) (log.f64 t))	y	0
52.0ms	(-.f64 (fma.f64 x (log.f64 y) (log.f64 t)) (+.f64 y z))	t	inf
51.0ms	(-.f64 (fma.f64 x (log.f64 y) (log.f64 t)) (+.f64 y z))	t	-inf

rewrite62.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

477×	`fma-def_binary64`
229×	`fma-neg_binary64`
204×	`expm1-udef_binary64`
204×	`log1p-udef_binary64`
181×	`log-pow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	24
1	215	24
2	3029	24

Stop Event

1×	node limit

Counts

2 → 148

simplify38.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

444×	`associate--r+_binary64`
441×	`fma-neg_binary64`
419×	`fma-def_binary64`
338×	`associate-+l-_binary64`
328×	`associate--l+_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	954
1	134	954
2	364	954
3	1263	954

Stop Event

1×	node limit

Counts

232 → 171

prune102.0ms (1.7%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	164	7	171
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	164	8	172

Error

0.0b

Counts

172 → 8

Alt Table

Status	Error	Program
✓	0.1b	(-.f64 (fma.f64 x (log.f64 y) (log.f64 t)) (+.f64 y z))
▶	0.4b	(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (log.f64 y)) 2)) (cbrt.f64 (log.f64 y)) (-.f64 (log.f64 t) (+.f64 y z)))
	35.5b	(-.f64 (log.f64 (.f64 (exp.f64 (.f64 x (log.f64 y))) t)) (+.f64 y z))
	33.9b	(-.f64 (pow.f64 (sqrt.f64 (fma.f64 x (log.f64 y) (log.f64 t))) 2) (+.f64 y z))
	0.6b	(-.f64 (pow.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t))) 3) (+.f64 y z))
	32.8b	(fma.f64 (*.f64 x (sqrt.f64 (log.f64 y))) (sqrt.f64 (log.f64 y)) (-.f64 (log.f64 t) (+.f64 y z)))
	29.2b	(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (log.f64 y)) (-.f64 (log.f64 t) (+.f64 y z)))
	0.5b	(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (log.f64 y)) (-.f64 (log.f64 t) (+.f64 y z)))

Compiler

Compiled 3628 to 891 computations (75.4% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (log.f64 y)) 2)) (cbrt.f64 (log.f64 y)) (-.f64 (log.f64 t) (+.f64 y z)))
✓	0.3b	(*.f64 x (pow.f64 (cbrt.f64 (log.f64 y)) 2))
✓	0.5b	(cbrt.f64 (log.f64 y))
✓	0.5b	(pow.f64 (cbrt.f64 (log.f64 y)) 2)

series1.4s (23.8%)

Counts

4 → 96

Calls

24 calls:

140.0ms	(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (log.f64 y)) 2)) (cbrt.f64 (log.f64 y)) (-.f64 (log.f64 t) (+.f64 y z)))	t	-inf
131.0ms	(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (log.f64 y)) 2)) (cbrt.f64 (log.f64 y)) (-.f64 (log.f64 t) (+.f64 y z)))	t	inf
131.0ms	(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (log.f64 y)) 2)) (cbrt.f64 (log.f64 y)) (-.f64 (log.f64 t) (+.f64 y z)))	t	0
95.0ms	(pow.f64 (cbrt.f64 (log.f64 y)) 2)	y	inf
86.0ms	(*.f64 x (pow.f64 (cbrt.f64 (log.f64 y)) 2))	x	0

rewrite59.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

491×	`fma-def_binary64`
260×	`expm1-udef_binary64`
260×	`log1p-udef_binary64`
233×	`fma-neg_binary64`
147×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	51
1	296	41
2	3883	39

Stop Event

1×	node limit

Counts

4 → 82

simplify41.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

368×	`fma-def_binary64`
359×	`associate-l_binary64`
342×	`associate--r+_binary64`
323×	`associate-r_binary64`
298×	`associate-+l-_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	61	1151
1	173	1143
2	439	1143
3	1463	1143

Stop Event

1×	node limit

Counts

178 → 111

prune137.0ms (2.3%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	135	3	138
Fresh	1	5	6
Picked	0	1	1
Done	0	1	1
Total	136	10	146

Error

Counts

146 → 10

Alt Table

Status	Error	Program
▶	0.3b	(fma.f64 (*.f64 x (cbrt.f64 (pow.f64 (log.f64 y) 2))) (cbrt.f64 (log.f64 y)) (-.f64 (log.f64 t) (+.f64 y z)))
✓	0.4b	(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (log.f64 y)) 2)) (cbrt.f64 (log.f64 y)) (-.f64 (log.f64 t) (+.f64 y z)))
✓	0.1b	(-.f64 (fma.f64 x (log.f64 y) (log.f64 t)) (+.f64 y z))
	0.3b	(fma.f64 (*.f64 x (pow.f64 (pow.f64 (log.f64 y) 2) 1/3)) (cbrt.f64 (log.f64 y)) (-.f64 (log.f64 t) (+.f64 y z)))
	29.2b	(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (log.f64 y)) (-.f64 (log.f64 t) (+.f64 y z)))
	35.5b	(-.f64 (log.f64 (.f64 (exp.f64 (.f64 x (log.f64 y))) t)) (+.f64 y z))
	33.9b	(-.f64 (pow.f64 (sqrt.f64 (fma.f64 x (log.f64 y) (log.f64 t))) 2) (+.f64 y z))
	0.6b	(-.f64 (pow.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t))) 3) (+.f64 y z))
	32.9b	(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (log.f64 y)) 2)) (exp.f64 (log.f64 (cbrt.f64 (log.f64 y)))) (-.f64 (log.f64 t) (+.f64 y z)))
	32.8b	(fma.f64 (*.f64 x (sqrt.f64 (log.f64 y))) (sqrt.f64 (log.f64 y)) (-.f64 (log.f64 t) (+.f64 y z)))

Compiler

Compiled 2874 to 1041 computations (63.8% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 x (cbrt.f64 (pow.f64 (log.f64 y) 2)))
✓	0.5b	(cbrt.f64 (pow.f64 (log.f64 y) 2))
	0.5b	(cbrt.f64 (log.f64 y))
✓	0.5b	(pow.f64 (log.f64 y) 2)

series438.0ms (7.5%)

Counts

3 → 44

Calls

12 calls:

82.0ms	(*.f64 x (cbrt.f64 (pow.f64 (log.f64 y) 2)))	x	0
68.0ms	(*.f64 x (cbrt.f64 (pow.f64 (log.f64 y) 2)))	x	-inf
65.0ms	(*.f64 x (cbrt.f64 (pow.f64 (log.f64 y) 2)))	x	inf
36.0ms	(*.f64 x (cbrt.f64 (pow.f64 (log.f64 y) 2)))	y	-inf
36.0ms	(cbrt.f64 (pow.f64 (log.f64 y) 2))	y	-inf

rewrite39.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

581×	`log1p-expm1-u_binary64`
581×	`expm1-log1p-u_binary64`
319×	`log-prod_binary64`
125×	`expm1-udef_binary64`
125×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	25
1	156	25
2	1702	25

Stop Event

1×	node limit

Counts

3 → 66

simplify37.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

650×	`fma-neg_binary64`
585×	`associate-l_binary64`
546×	`unswap-sqr_binary64`
428×	`fma-def_binary64`
241×	`unsub-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	424
1	55	408
2	97	408
3	276	408
4	954	408
5	3642	408

Stop Event

1×	node limit

Counts

110 → 76

prune110.0ms (1.9%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	102	1	103
Fresh	2	5	7
Picked	0	1	1
Done	1	1	2
Total	105	8	113

Error

Counts

113 → 8

Alt Table

Status	Error	Program
✓	0.1b	(-.f64 (fma.f64 x (log.f64 y) (log.f64 t)) (+.f64 y z))
✓	0.3b	(fma.f64 (*.f64 x (cbrt.f64 (pow.f64 (log.f64 y) 2))) (cbrt.f64 (log.f64 y)) (-.f64 (log.f64 t) (+.f64 y z)))
	0.3b	(fma.f64 (*.f64 x (pow.f64 (pow.f64 (log.f64 y) 2) 1/3)) (cbrt.f64 (log.f64 y)) (-.f64 (log.f64 t) (+.f64 y z)))
	29.2b	(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (log.f64 y)) (-.f64 (log.f64 t) (+.f64 y z)))
	35.5b	(-.f64 (log.f64 (.f64 (exp.f64 (.f64 x (log.f64 y))) t)) (+.f64 y z))
	0.6b	(-.f64 (pow.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t))) 3) (+.f64 y z))
	32.8b	(fma.f64 (*.f64 x (sqrt.f64 (log.f64 y))) (sqrt.f64 (log.f64 y)) (-.f64 (log.f64 t) (+.f64 y z)))
▶	0.3b	(fma.f64 (*.f64 x (sqrt.f64 (cbrt.f64 (pow.f64 (log.f64 y) 4)))) (cbrt.f64 (log.f64 y)) (-.f64 (log.f64 t) (+.f64 y z)))

Compiler

Compiled 2443 to 990 computations (59.5% saved)

localize17.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 x (sqrt.f64 (cbrt.f64 (pow.f64 (log.f64 y) 4))))
✓	0.5b	(cbrt.f64 (pow.f64 (log.f64 y) 4))
	0.5b	(cbrt.f64 (log.f64 y))
✓	1.0b	(pow.f64 (log.f64 y) 4)

series435.0ms (7.4%)

Counts

3 → 44

Calls

12 calls:

82.0ms	(*.f64 x (sqrt.f64 (cbrt.f64 (pow.f64 (log.f64 y) 4))))	x	0
67.0ms	(*.f64 x (sqrt.f64 (cbrt.f64 (pow.f64 (log.f64 y) 4))))	x	-inf
67.0ms	(*.f64 x (sqrt.f64 (cbrt.f64 (pow.f64 (log.f64 y) 4))))	x	inf
35.0ms	(*.f64 x (sqrt.f64 (cbrt.f64 (pow.f64 (log.f64 y) 4))))	y	-inf
35.0ms	(cbrt.f64 (pow.f64 (log.f64 y) 4))	y	-inf

rewrite46.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

666×	`log1p-expm1-u_binary64`
666×	`expm1-log1p-u_binary64`
361×	`log-prod_binary64`
139×	`expm1-udef_binary64`
139×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	27
1	179	25
2	1984	25

Stop Event

1×	node limit

Counts

3 → 69

simplify32.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

755×	`fma-def_binary64`
567×	`unswap-sqr_binary64`
343×	`associate-l_binary64`
273×	`associate-r_binary64`
213×	`distribute-rgt-neg-out_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	30	424
1	75	408
2	136	408
3	470	408
4	2324	408

Stop Event

1×	node limit

Counts

113 → 79

prune114.0ms (1.9%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	106	0	106
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	106	8	114

Error

Counts

114 → 8

Alt Table

Status	Error	Program
✓	0.1b	(-.f64 (fma.f64 x (log.f64 y) (log.f64 t)) (+.f64 y z))
✓	0.3b	(fma.f64 (*.f64 x (cbrt.f64 (pow.f64 (log.f64 y) 2))) (cbrt.f64 (log.f64 y)) (-.f64 (log.f64 t) (+.f64 y z)))
	0.3b	(fma.f64 (*.f64 x (pow.f64 (pow.f64 (log.f64 y) 2) 1/3)) (cbrt.f64 (log.f64 y)) (-.f64 (log.f64 t) (+.f64 y z)))
	29.2b	(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (log.f64 y)) (-.f64 (log.f64 t) (+.f64 y z)))
	35.5b	(-.f64 (log.f64 (.f64 (exp.f64 (.f64 x (log.f64 y))) t)) (+.f64 y z))
	0.6b	(-.f64 (pow.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t))) 3) (+.f64 y z))
	32.8b	(fma.f64 (*.f64 x (sqrt.f64 (log.f64 y))) (sqrt.f64 (log.f64 y)) (-.f64 (log.f64 t) (+.f64 y z)))
✓	0.3b	(fma.f64 (*.f64 x (sqrt.f64 (cbrt.f64 (pow.f64 (log.f64 y) 4)))) (cbrt.f64 (log.f64 y)) (-.f64 (log.f64 t) (+.f64 y z)))

Compiler

Compiled 2544 to 1107 computations (56.5% saved)

regimes274.0ms (4.7%)

Accuracy

Total 0.1b remaining (73.4%)

Threshold costs 0.1b (73.4%)

Counts

32 → 1

Compiler

Compiled 4542 to 2903 computations (36.1% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	15
1	13	15
2	22	15
3	30	15
4	35	15
5	37	15

Stop Event

1×

saturated

end111.0ms (1.9%)

Stop Event

1×

fuel

Compiler

Compiled 177 to 116 computations (34.5% saved)

Details

analyze345.0ms (5.9%)

sample1.2s (21.1%)

preprocess34.0ms (0.6%)

simplify39.0ms (0.7%)

prune3.0ms (0%)

localize9.0ms (0.2%)

series674.0ms (11.5%)

rewrite62.0ms (1.1%)

simplify38.0ms (0.6%)

prune102.0ms (1.7%)

localize13.0ms (0.2%)

series1.4s (23.8%)

rewrite59.0ms (1%)

simplify41.0ms (0.7%)

prune137.0ms (2.3%)

localize14.0ms (0.2%)

series438.0ms (7.5%)

rewrite39.0ms (0.7%)

simplify37.0ms (0.6%)

prune110.0ms (1.9%)

localize17.0ms (0.3%)

series435.0ms (7.4%)

rewrite46.0ms (0.8%)

simplify32.0ms (0.5%)

prune114.0ms (1.9%)

regimes274.0ms (4.7%)

simplify6.0ms (0.1%)

end111.0ms (1.9%)

Profiling