Details

analyze853.0ms (37.9%)

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%	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
6.2%	93.6%	0.2%	9
12.5%	87.3%	0.2%	10
15.6%	80.3%	4.1%	11
31.2%	63.9%	4.9%	12
39%	50.9%	10.1%	13
44.8%	44.4%	10.7%	14

Compiler

Compiled 12 to 8 computations (33.3% saved)

sample1.1s (47.4%)

Results

900.0ms	8256×	body	128	valid
153.0ms	1435×	body	128	invalid

Compiler

Compiled 24 to 16 computations (33.3% saved)

preprocess27.0ms (1.2%)

Algorithm

2×	egg-herbie

Rules

13×	`fma-def_binary64`
6×	`+-commutative_binary64`
6×	`*-commutative_binary64`
1×	`swap-z-t`
1×	`swap-x-y`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	56
1	34	56
2	40	56
0	4	4
1	4	4

Stop Event

1×	unsound
1×	saturated

Symmetry

(sort x y)

(sort z t)

Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify12.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

4×	`fma-def_binary64`
2×	`*-commutative_binary64`
1×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	8
1	12	8
2	15	8

Stop Event

1×

saturated

Counts

1 → 2

prune3.0ms (0.1%)

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

0.0b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	0.0b	(fma.f64 x y (*.f64 z t))

Compiler

Compiled 37 to 20 computations (45.9% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 x y (*.f64 z t))

series14.0ms (0.6%)

Counts

1 → 48

Calls

12 calls:

5.0ms	(fma.f64 x y (*.f64 z t))	z	-inf
1.0ms	(fma.f64 x y (*.f64 z t))	t	-inf
1.0ms	(fma.f64 x y (*.f64 z t))	x	inf
1.0ms	(fma.f64 x y (*.f64 z t))	y	-inf
1.0ms	(fma.f64 x y (*.f64 z t))	x	-inf

rewrite36.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

602×	`log1p-expm1-u_binary64`
602×	`expm1-log1p-u_binary64`
339×	`log-prod_binary64`
176×	`prod-diff_binary64`
129×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	137	8
2	1640	8

Stop Event

1×	node limit

Counts

1 → 29

simplify11.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

4×	`fma-def_binary64`
2×	`*-commutative_binary64`
1×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	336
1	12	336
2	15	336

Stop Event

1×

saturated

Counts

77 → 33

prune15.0ms (0.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	32	1	33
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	32	2	34

Error

Counts

34 → 2

Alt Table

Status	Error	Program
▶	0.0b	(fma.f64 t z (*.f64 y x))
✓	0.0b	(fma.f64 x y (*.f64 z t))

Compiler

Compiled 399 to 121 computations (69.7% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 t z (*.f64 y x))

series11.0ms (0.5%)

Counts

1 → 48

Calls

12 calls:

3.0ms	(fma.f64 t z (*.f64 y x))	x	-inf
1.0ms	(fma.f64 t z (*.f64 y x))	y	-inf
1.0ms	(fma.f64 t z (*.f64 y x))	t	-inf
1.0ms	(fma.f64 t z (*.f64 y x))	t	inf
1.0ms	(fma.f64 t z (*.f64 y x))	z	-inf

rewrite44.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

602×	`log1p-expm1-u_binary64`
602×	`expm1-log1p-u_binary64`
339×	`log-prod_binary64`
176×	`prod-diff_binary64`
129×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	137	8
2	1640	8

Stop Event

1×	node limit

Counts

1 → 29

simplify12.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

4×	`fma-def_binary64`
2×	`*-commutative_binary64`
1×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	336
1	12	336
2	15	336

Stop Event

1×

saturated

Counts

77 → 32

prune13.0ms (0.6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	32	0	32
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	32	2	34

Error

Counts

34 → 2

Alt Table

Status	Error	Program
✓	0.0b	(fma.f64 t z (*.f64 y x))
✓	0.0b	(fma.f64 x y (*.f64 z t))

Compiler

Compiled 382 to 112 computations (70.7% saved)

regimes66.0ms (2.9%)

Accuracy

Total 0.0b remaining (90.9%)

Threshold costs 0.0b (90.9%)

Counts

5 → 1

Compiler

Compiled 479 to 319 computations (33.4% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	8	8

Stop Event

1×

saturated

end59.0ms (2.6%)

Stop Event

1×

done

Remove

(sort z t)

(sort x y)

Compiler

Compiled 80 to 48 computations (40% saved)

Details

analyze853.0ms (37.9%)

sample1.1s (47.4%)

preprocess27.0ms (1.2%)

simplify12.0ms (0.5%)

prune3.0ms (0.1%)

localize4.0ms (0.2%)

series14.0ms (0.6%)

rewrite36.0ms (1.6%)

simplify11.0ms (0.5%)

prune15.0ms (0.7%)

localize5.0ms (0.2%)

series11.0ms (0.5%)

rewrite44.0ms (1.9%)

simplify12.0ms (0.5%)

prune13.0ms (0.6%)

regimes66.0ms (2.9%)

simplify2.0ms (0.1%)

end59.0ms (2.6%)

Profiling