Details

analyze482.0ms (26%)

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
18.7%	81.1%	0.1%	8
31.2%	68.6%	0.1%	9
35.9%	55.4%	8.7%	10
42.9%	47.6%	9.5%	11
51.5%	38.4%	10.1%	12
55%	30.3%	14.7%	13
59.5%	25.4%	15.1%	14

Compiler

Compiled 11 to 8 computations (27.3% saved)

sample834.0ms (44.9%)

Results

758.0ms	8255×	body	128	valid
61.0ms	586×	body	128	invalid
0.0ms	1×	body	1024	valid

Compiler

Compiled 22 to 16 computations (27.3% saved)

preprocess30.0ms (1.6%)

Algorithm

2×	egg-herbie

Rules

522×	`fma-def_binary64`
100×	`distribute-rgt-in_binary64`
78×	`associate-+l+_binary64`
66×	`associate-+r+_binary64`
64×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	40
1	53	40
2	137	40
3	334	40
4	694	40
5	1078	40
6	1144	40
7	1150	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)

simplify9.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

186×	`fma-def_binary64`
33×	`distribute-rgt-in_binary64`
26×	`associate-+l+_binary64`
22×	`associate-+r+_binary64`
21×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	19	10
2	51	10
3	120	10
4	249	10
5	389	10
6	411	10
7	413	10

Stop Event

1×

saturated

Counts

1 → 1

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.0b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	0.0b	(*.f64 (+.f64 x y) (+.f64 z 1))

Compiler

Compiled 30 to 21 computations (30% saved)

localize24.0ms (1.3%)

Local error

Found 1 expressions with local error:

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

series7.0ms (0.4%)

Counts

1 → 36

Calls

9 calls:

1.0ms	(*.f64 (+.f64 x y) (+.f64 z 1))	x	-inf
1.0ms	(*.f64 (+.f64 x y) (+.f64 z 1))	x	inf
1.0ms	(*.f64 (+.f64 x y) (+.f64 z 1))	y	-inf
1.0ms	(*.f64 (+.f64 x y) (+.f64 z 1))	y	inf
1.0ms	(*.f64 (+.f64 x y) (+.f64 z 1))	x	0

rewrite42.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

676×	`prod-diff_binary64`
324×	`fma-def_binary64`
172×	`fma-neg_binary64`
154×	`log1p-udef_binary64`
153×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	176	10
2	2483	10

Stop Event

1×	node limit

Counts

1 → 74

simplify20.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

174×	`fma-def_binary64`
24×	`associate-+l+_binary64`
22×	`distribute-rgt-in_binary64`
20×	`associate-+r+_binary64`
13×	`*-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	378
1	41	351
2	76	318
3	155	318
4	246	318
5	294	318
6	329	318
7	335	318

Stop Event

1×

saturated

Counts

110 → 83

prune46.0ms (2.5%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	82	1	83
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	83	1	84

Error

Counts

84 → 1

Alt Table

Status	Error	Program
▶	0b	(fma.f64 y (+.f64 z 1) (*.f64 x (+.f64 z 1)))

Compiler

Compiled 1151 to 445 computations (61.3% saved)

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 x (+.f64 z 1))

series5.0ms (0.2%)

Counts

1 → 24

Calls

6 calls:

1.0ms	(*.f64 x (+.f64 z 1))	x	-inf
1.0ms	(*.f64 x (+.f64 z 1))	x	0
1.0ms	(*.f64 x (+.f64 z 1))	x	inf
1.0ms	(*.f64 x (+.f64 z 1))	z	-inf
1.0ms	(*.f64 x (+.f64 z 1))	z	inf

rewrite33.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

590×	`log1p-expm1-u_binary64`
590×	`expm1-log1p-u_binary64`
284×	`log-prod_binary64`
191×	`prod-diff_binary64`
137×	`fma-def_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	127	5
2	1637	5

Stop Event

1×	node limit

Counts

1 → 53

simplify15.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

14×	`fma-def_binary64`
4×	`associate-r_binary64`
4×	`associate-l_binary64`
3×	`*-lft-identity_binary64`
3×	`*-rgt-identity_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	114
1	16	114
2	23	114
3	29	114
4	42	114
5	46	114
6	48	114

Stop Event

1×

saturated

Counts

77 → 57

prune28.0ms (1.5%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	57	0	57
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	57	1	58

Error

Counts

58 → 1

Alt Table

Status	Error	Program
✓	0b	(fma.f64 y (+.f64 z 1) (*.f64 x (+.f64 z 1)))

Compiler

Compiled 807 to 374 computations (53.7% saved)

regimes102.0ms (5.5%)

Accuracy

Total -0.0b remaining (-44.1%)

Threshold costs -0.0b (-44.1%)

Counts

17 → 1

Compiler

Compiled 1183 to 750 computations (36.6% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	12
1	11	12

Stop Event

1×

saturated

end172.0ms (9.2%)

Stop Event

1×

done

Compiler

Compiled 61 to 37 computations (39.3% saved)

Details

analyze482.0ms (26%)

sample834.0ms (44.9%)

preprocess30.0ms (1.6%)

simplify9.0ms (0.5%)

prune2.0ms (0.1%)

localize24.0ms (1.3%)

series7.0ms (0.4%)

rewrite42.0ms (2.3%)

simplify20.0ms (1.1%)

prune46.0ms (2.5%)

localize5.0ms (0.3%)

series5.0ms (0.2%)

rewrite33.0ms (1.8%)

simplify15.0ms (0.8%)

prune28.0ms (1.5%)

regimes102.0ms (5.5%)

simplify2.0ms (0.1%)

end172.0ms (9.2%)

Profiling