Details

analyze421.0ms (23.8%)

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
12.5%	87.4%	0.1%	7
25%	74.9%	0.1%	8
31.2%	62.4%	6.4%	9
46.8%	46.8%	6.4%	10
53.8%	39.8%	6.4%	11
57.3%	33.2%	9.5%	12
66.9%	23.6%	9.5%	13
70.3%	20.2%	9.5%	14

Compiler

Compiled 11 to 8 computations (27.3% saved)

sample834.0ms (47.2%)

Results

790.0ms	8256×	body	128	valid
30.0ms	304×	body	128	invalid

Compiler

Compiled 22 to 16 computations (27.3% saved)

preprocess44.0ms (2.5%)

Algorithm

2×	egg-herbie

Rules

447×	`fma-def_binary64`
313×	`fma-neg_binary64`
108×	`distribute-rgt-neg-in_binary64`
90×	`cancel-sign-sub-inv_binary64`
78×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	40
1	40	40
2	75	40
3	110	40
4	197	40
5	336	40
6	687	40
7	1430	40
8	1637	40
9	1691	40
10	1694	40
11	1694	40
12	1694	40
0	3	3
1	3	3

Stop Event

1×	unsound
1×	saturated

Symmetry

(sort x y)

Compiler

Compiled 10 to 7 computations (30% saved)

simplify17.0ms (1%)

Algorithm

1×	egg-herbie

Rules

192×	`fma-def_binary64`
125×	`fma-neg_binary64`
44×	`distribute-rgt-neg-in_binary64`
37×	`cancel-sign-sub-inv_binary64`
27×	`unsub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	15	10
2	29	10
3	42	10
4	76	10
5	133	10
6	246	10
7	423	10
8	577	10
9	696	10
10	746	10
11	748	10

Stop Event

1×

saturated

Counts

1 → 2

prune3.0ms (0.2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.0b

Counts

3 → 2

Alt Table

Status	Error	Program
	0.1b	(neg.f64 (fma.f64 x (*.f64 y -3) z))
▶	0.1b	(-.f64 (.f64 (.f64 x 3) y) z)

Compiler

Compiled 57 to 39 computations (31.6% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (.f64 x 3) y)

series4.0ms (0.2%)

Counts

1 → 24

Calls

6 calls:

1.0ms	(.f64 (.f64 x 3) y)	x	0
1.0ms	(.f64 (.f64 x 3) y)	x	-inf
1.0ms	(.f64 (.f64 x 3) y)	y	-inf
1.0ms	(.f64 (.f64 x 3) y)	x	inf
1.0ms	(.f64 (.f64 x 3) y)	y	inf

rewrite32.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

510×	`log1p-expm1-u_binary64`
510×	`expm1-log1p-u_binary64`
384×	`unpow-prod-down_binary64`
298×	`log-prod_binary64`
153×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	121	7
2	1402	7

Stop Event

1×	node limit

Counts

1 → 17

simplify10.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

5×	`*-commutative_binary64`
3×	`associate-r_binary64`
3×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	168
1	10	168
2	17	168
3	19	168

Stop Event

1×

saturated

Counts

41 → 19

prune13.0ms (0.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	18	1	19
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	18	3	21

Error

Counts

21 → 3

Alt Table

Status	Error	Program
▶	0.1b	(neg.f64 (fma.f64 x (*.f64 y -3) z))
✓	0.1b	(-.f64 (.f64 (.f64 x 3) y) z)
	0.1b	(-.f64 (.f64 3 (.f64 y x)) z)

Compiler

Compiled 256 to 174 computations (32% saved)

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(fma.f64 x (*.f64 y -3) z)

series7.0ms (0.4%)

Counts

1 → 36

Calls

9 calls:

2.0ms	(fma.f64 x (*.f64 y -3) z)	x	inf
1.0ms	(fma.f64 x (*.f64 y -3) z)	z	-inf
1.0ms	(fma.f64 x (*.f64 y -3) z)	x	-inf
1.0ms	(fma.f64 x (*.f64 y -3) z)	z	inf
1.0ms	(fma.f64 x (*.f64 y -3) z)	x	0

rewrite32.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

589×	`log1p-expm1-u_binary64`
589×	`expm1-log1p-u_binary64`
312×	`log-prod_binary64`
126×	`expm1-udef_binary64`
126×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	139	8
2	1594	8

Stop Event

1×	node limit

Counts

1 → 29

simplify27.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

285×	`fma-def_binary64`
110×	`fma-neg_binary64`
57×	`cancel-sign-sub-inv_binary64`
36×	`distribute-rgt-neg-in_binary64`
27×	`sub-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	309
1	21	309
2	49	255
3	107	255
4	150	255
5	198	255
6	292	255
7	371	255
8	469	255
9	665	255
10	829	255
11	841	255

Stop Event

1×

saturated

Counts

65 → 34

prune19.0ms (1.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	34	0	34
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	34	3	37

Error

Counts

37 → 3

Alt Table

Status	Error	Program
✓	0.1b	(neg.f64 (fma.f64 x (*.f64 y -3) z))
✓	0.1b	(-.f64 (.f64 (.f64 x 3) y) z)
▶	0.1b	(-.f64 (.f64 3 (.f64 y x)) z)

Compiler

Compiled 451 to 292 computations (35.3% saved)

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 3 (.f64 y x))

series4.0ms (0.2%)

Counts

1 → 0

Calls

6 calls:

1.0ms	(.f64 3 (.f64 y x))	y	0
1.0ms	(.f64 3 (.f64 y x))	y	inf
1.0ms	(.f64 3 (.f64 y x))	x	-inf
1.0ms	(.f64 3 (.f64 y x))	y	-inf
1.0ms	(.f64 3 (.f64 y x))	x	inf

rewrite31.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

511×	`log1p-expm1-u_binary64`
511×	`expm1-log1p-u_binary64`
386×	`unpow-prod-down_binary64`
299×	`log-prod_binary64`
153×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	121	7
2	1404	7

Stop Event

1×	node limit

Counts

1 → 17

simplify7.0ms (0.4%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

17 → 17

prune11.0ms (0.6%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	17	0	17
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	17	3	20

Error

Counts

20 → 3

Alt Table

Status	Error	Program
✓	0.1b	(neg.f64 (fma.f64 x (*.f64 y -3) z))
✓	0.1b	(-.f64 (.f64 (.f64 x 3) y) z)
✓	0.1b	(-.f64 (.f64 3 (.f64 y x)) z)

Compiler

Compiled 214 to 142 computations (33.6% saved)

regimes51.0ms (2.9%)

Accuracy

Total 0.1b remaining (91.3%)

Threshold costs 0.1b (91.3%)

Counts

6 → 1

Compiler

Compiled 390 to 288 computations (26.2% saved)

simplify3.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	12	10
2	17	10
3	19	10
4	20	10

Stop Event

1×

saturated

end183.0ms (10.4%)

Stop Event

1×

done

Compiler

Compiled 70 to 49 computations (30% saved)

Iter	Nodes	Cost
0	8	10
1	15	10
2	29	10
3	42	10
4	76	10
5	133	10
6	246	10
7	423	10
8	577	10
9	696	10
10	746	10
11	748	10

Iter	Nodes	Cost
0	10	309
1	21	309
2	49	255
3	107	255
4	150	255
5	198	255
6	292	255
7	371	255
8	469	255
9	665	255
10	829	255
11	841	255

Iter	Nodes	Cost
0	8	10
1	15	10
2	29	10
3	42	10
4	76	10
5	133	10
6	246	10
7	423	10
8	577	10
9	696	10
10	746	10
11	748	10

Iter	Nodes	Cost
0	10	309
1	21	309
2	49	255
3	107	255
4	150	255
5	198	255
6	292	255
7	371	255
8	469	255
9	665	255
10	829	255
11	841	255

Details

analyze421.0ms (23.8%)

sample834.0ms (47.2%)

preprocess44.0ms (2.5%)

simplify17.0ms (1%)

prune3.0ms (0.2%)

localize4.0ms (0.2%)

series4.0ms (0.2%)

rewrite32.0ms (1.8%)

simplify10.0ms (0.5%)

prune13.0ms (0.7%)

localize5.0ms (0.3%)

series7.0ms (0.4%)

rewrite32.0ms (1.8%)

simplify27.0ms (1.5%)

prune19.0ms (1.1%)

localize5.0ms (0.3%)

series4.0ms (0.2%)

rewrite31.0ms (1.7%)

simplify7.0ms (0.4%)

prune11.0ms (0.6%)

regimes51.0ms (2.9%)

simplify3.0ms (0.2%)

end183.0ms (10.4%)

Profiling

Iter	Nodes	Cost
0	8	10
1	15	10
2	29	10
3	42	10
4	76	10
5	133	10
6	246	10
7	423	10
8	577	10
9	696	10
10	746	10
11	748	10

Iter	Nodes	Cost
0	10	309
1	21	309
2	49	255
3	107	255
4	150	255
5	198	255
6	292	255
7	371	255
8	469	255
9	665	255
10	829	255
11	841	255