Details

analyze1.9s (37.3%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.6%	0.4%	0
0%	99.6%	0.4%	1
0%	99.6%	0.4%	2
0%	99.6%	0.4%	3
0%	99.6%	0.4%	4
0%	99.6%	0.4%	5
0%	99.6%	0.4%	6
0%	99.6%	0.4%	7
0%	99.6%	0.4%	8
0%	99.6%	0.4%	9
0%	99.6%	0.4%	10
0%	99.6%	0.4%	11
0%	99.6%	0.4%	12
0%	99.6%	0.4%	13
0%	99.6%	0.4%	14

Compiler

Compiled 24 to 16 computations (33.3% saved)

sample2.2s (44.4%)

Symmetry

(sort x y)

(sort z t)

(sort a b)

(sort c i)

Results

1.2s	8256×	body	128	valid
948.0ms	6124×	body	128	invalid

Compiler

Compiled 71 to 47 computations (33.8% saved)

simplify9.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

58×	`fma-def_binary64`
23×	`associate-+l+_binary64`
22×	`associate-+r+_binary64`
16×	`+-commutative_binary64`
4×	`*-commutative_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	20
1	28	16
2	63	16
3	125	16
4	150	16
5	152	16

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 (fma.f64 c i (fma.f64 a b (*.f64 z t))))

Compiler

Compiled 75 to 42 computations (44% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

series57.0ms (1.1%)

Counts

3 → 216

Calls

3 calls:

30.0ms	(fma.f64 x y (fma.f64 c i (fma.f64 a b (*.f64 z t))))
18.0ms	(fma.f64 c i (fma.f64 a b (*.f64 z t)))
8.0ms	(fma.f64 a b (*.f64 z t))

rewrite52.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

621×	`log-prod_binary64`
304×	`prod-diff_binary64`
241×	`expm1-udef_binary64`
241×	`log1p-udef_binary64`
224×	`log-pow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	36
1	255	36
2	3064	36

Stop Event

1×	node limit

Counts

3 → 89

Calls

3 calls:

50.0ms	(fma.f64 a b (*.f64 z t))
50.0ms	(fma.f64 c i (fma.f64 a b (*.f64 z t)))
50.0ms	(fma.f64 x y (fma.f64 c i (fma.f64 a b (*.f64 z t))))

simplify57.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

60×	`fma-def_binary64`
19×	`+-commutative_binary64`
18×	`associate-+r+_binary64`
17×	`associate-+l+_binary64`
4×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	2392
1	67	2392
2	122	2392
3	144	2392
4	148	2392

Stop Event

1×

saturated

Counts

305 → 113

prune64.0ms (1.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	111	2	113
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	112	2	114

Error

Counts

114 → 2

Alt Table

Status	Error	Program
	1.3b	(pow.f64 (cbrt.f64 (fma.f64 x y (fma.f64 c i (fma.f64 a b (*.f64 z t))))) 3)
▶	0.0b	(fma.f64 a b (fma.f64 t z (fma.f64 y x (*.f64 c i))))

Compiler

Compiled 1996 to 464 computations (76.8% saved)

localize9.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 y x (*.f64 c i))

series8.0ms (0.2%)

Counts

1 → 48

Calls

1 calls:

8.0ms

(fma.f64 y x (*.f64 c i))

rewrite38.0ms (0.7%)

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

Calls

1 calls:

37.0ms

(fma.f64 y x (*.f64 c i))

simplify11.0ms (0.2%)

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

prune19.0ms (0.4%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	31	1	32
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	33	1	34

Error

Counts

34 → 1

Alt Table

Status	Error	Program
▶	0b	(fma.f64 a b (fma.f64 t z (fma.f64 c i (*.f64 y x))))

Compiler

Compiled 598 to 192 computations (67.9% saved)

localize9.0ms (0.2%)

prune1.0ms (0%)

Pruning

1 alts after pruning (0 fresh and 1 done)

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

Error

Counts

1 → 1

Alt Table

Status	Error	Program
✓	0b	(fma.f64 a b (fma.f64 t z (fma.f64 c i (*.f64 y x))))

Compiler

Compiled 20 to 12 computations (40% saved)

regimes468.0ms (9.3%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

Counts

26 → 1

Compiler

Compiled 8531 to 5639 computations (33.9% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	16
1	14	16

Stop Event

1×

saturated

end110.0ms (2.2%)

Remove

(sort c i)

(sort a b)

(sort z t)

(sort x y)

Compiler

Compiled 220 to 132 computations (40% saved)

Details

analyze1.9s (37.3%)

sample2.2s (44.4%)

simplify9.0ms (0.2%)

prune3.0ms (0.1%)

localize9.0ms (0.2%)

series57.0ms (1.1%)

rewrite52.0ms (1%)

simplify57.0ms (1.1%)

prune64.0ms (1.3%)

localize9.0ms (0.2%)

series8.0ms (0.2%)

rewrite38.0ms (0.7%)

simplify11.0ms (0.2%)

prune19.0ms (0.4%)

localize9.0ms (0.2%)

prune1.0ms (0%)

regimes468.0ms (9.3%)

simplify2.0ms (0%)

end110.0ms (2.2%)

Profiling