Metrics for fma

analyze7.0ms (0.1%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	0%	100%	0%	0%	0%	0
0%	0%	0%	100%	0%	0%	0%	1
0%	0%	0%	100%	0%	0%	0%	2
50%	0%	0%	100%	0%	0%	0%	3
75%	0%	0%	100%	0%	0%	0%	4
87.5%	0%	0%	100%	0%	0%	0%	5
93.7%	0%	0%	100%	0%	0%	0%	6
96.9%	0%	0%	100%	0%	0%	0%	7
98.4%	0%	0%	100%	0%	0%	0%	8
99.2%	0%	0%	100%	0%	0%	0%	9
99.6%	0%	0%	100%	0%	0%	0%	10
99.8%	0%	0%	100%	0%	0%	0%	11
99.9%	0%	0%	100%	0%	0%	0%	12

Compiler

Compiled 27 to 16 computations (40.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

...c/correct-round.rkt:119:19: 2.0ms (54.2% of total)

ival-mult: 1.0ms (27.1% of total)

ival-sub: 0.0ms (0% of total)

ival-add: 0.0ms (0% of total)

ival-and: 0.0ms (0% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

ival-<=: 0.0ms (0% of total)

sample3.0s (47.7%)

Results

2.5s

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 1.8s

...c/correct-round.rkt:119:19: 618.0ms (35.2% of total)

ival-mult: 449.0ms (25.6% of total)

ival-add: 212.0ms (12.1% of total)

backward-pass: 200.0ms (11.4% of total)

ival-sub: 160.0ms (9.1% of total)

ival-<=: 68.0ms (3.9% of total)

const: 28.0ms (1.6% of total)

ival-and: 18.0ms (1% of total)

Bogosity

preprocess207.0ms (3.3%)

Algorithm

2×	egg-herbie

Rules

1950×	`fnmadd-define`
1912×	`fnmadd-define`
1910×	`fma-define`
1790×	`+-lowering-+.f64`
1790×	`+-lowering-+.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	19	47
1	71	33
2	321	30
3	2081	30
4	7877	30
0	11	14
1	35	10
2	133	10
3	770	10
4	2242	4
5	5002	4
0	8231	4

Stop Event

1×	iter limit
1×	node limit
1×	node limit

Calls

Call 1

Inputs
(+ (* (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000))))

Outputs
(+ (* (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000))))
(.f64 t (.f64 t #s(literal 1/25000000000000000000000000000000 binary64)))

Call 2

Inputs

(+ (* (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000))))

(+ (* (+ 1 (* (neg t) 1/5000000000000000)) (+ 1 (* (neg t) 1/5000000000000000))) (- -1 (* 2 (* (neg t) 1/5000000000000000))))

(neg (+ (* (+ 1 (* (neg t) 1/5000000000000000)) (+ 1 (* (neg t) 1/5000000000000000))) (- -1 (* 2 (* (neg t) 1/5000000000000000)))))

Outputs
(+ (* (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000))))
(+ (square (fma t 1/5000000000000000 1)) (fma -1/2500000000000000 t -1))
(+ (* (+ 1 (* (neg t) 1/5000000000000000)) (+ 1 (* (neg t) 1/5000000000000000))) (- -1 (* 2 (* (neg t) 1/5000000000000000))))
(+ (square (fma t -1/5000000000000000 1)) (fnmadd t -1/2500000000000000 -1))
(neg (+ (* (+ 1 (* (neg t) 1/5000000000000000)) (+ 1 (* (neg t) 1/5000000000000000))) (- -1 (* 2 (* (neg t) 1/5000000000000000)))))
(- (fnmsub t 1/2500000000000000 -1) (square (fma t -1/5000000000000000 1)))

explain286.0ms (4.6%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
256	-	-	`(+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 t #s(literal 1/5000000000000000 binary64))) (+.f64 #s(literal 1 binary64) (.f64 t #s(literal 1/5000000000000000 binary64)))) (-.f64 #s(literal -1 binary64) (.f64 #s(literal 2 binary64) (*.f64 t #s(literal 1/5000000000000000 binary64)))))`
0	-	-	`(*.f64 t #s(literal 1/5000000000000000 binary64))`
0	-	-	`#s(literal -1 binary64)`
0	-	-	`#s(literal 1/5000000000000000 binary64)`
0	-	-	`#s(literal 2 binary64)`
0	-	-	`(+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 1/5000000000000000 binary64)))`
0	-	-	`(.f64 (+.f64 #s(literal 1 binary64) (.f64 t #s(literal 1/5000000000000000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 1/5000000000000000 binary64))))`
0	-	-	`(-.f64 #s(literal -1 binary64) (.f64 #s(literal 2 binary64) (.f64 t #s(literal 1/5000000000000000 binary64))))`
0	-	-	`(.f64 #s(literal 2 binary64) (.f64 t #s(literal 1/5000000000000000 binary64)))`
0	-	-	`t`
0	-	-	`#s(literal 1 binary64)`

Results

208.0ms

512×

valid

Compiler

Compiled 134 to 35 computations (73.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 80.0ms

...c/correct-round.rkt:119:19: 24.0ms (30% of total)

ival-mult: 21.0ms (26.2% of total)

backward-pass: 16.0ms (20% of total)

ival-add: 11.0ms (13.7% of total)

ival-sub: 5.0ms (6.2% of total)

const: 2.0ms (2.5% of total)

eval0.0ms (0%)

Compiler: Compiled 6 to 4 computations (33.3% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.4%	(.f64 t (.f64 t #s(literal 1/25000000000000000000000000000000 binary64)))

Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 t #s(literal 1/25000000000000000000000000000000 binary64))
✓	cost-diff	0	(.f64 t (.f64 t #s(literal 1/25000000000000000000000000000000 binary64)))

Rules

14×	`-lowering-.f32`
14×	`-lowering-.f64`
4×	`*-commutative`
2×	`associate-r`
2×	`square-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	4	10
1	8	9
2	10	9
0	10	9

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(* t (* t 1/25000000000000000000000000000000))
t
(* t 1/25000000000000000000000000000000)
1/25000000000000000000000000000000

Outputs
(* t (* t 1/25000000000000000000000000000000))
(.f64 t (.f64 t #s(literal 1/25000000000000000000000000000000 binary64)))
t
(* t 1/25000000000000000000000000000000)
(*.f64 t #s(literal 1/25000000000000000000000000000000 binary64))
1/25000000000000000000000000000000
#s(literal 1/25000000000000000000000000000000 binary64)

localize40.0ms (0.6%)

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.5%	(.f64 t (.f64 t #s(literal 1/25000000000000000000000000000000 binary64)))
✓	accuracy	99.3%	(*.f64 t #s(literal 1/25000000000000000000000000000000 binary64))

Results

33.0ms

256×

valid

Compiler

Compiled 12 to 5 computations (58.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-mult: 17.0ms (76.9% of total)

...c/correct-round.rkt:119:19: 5.0ms (22.6% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

series2.0ms (0%)

Counts

2 → 24

Calls

Call 1

Inputs
#<alt (* t (* t 1/25000000000000000000000000000000))>
#<alt (* t 1/25000000000000000000000000000000)>

Outputs
#<alt (* 1/25000000000000000000000000000000 (pow t 2))>
#<alt (* 1/25000000000000000000000000000000 (pow t 2))>
#<alt (* 1/25000000000000000000000000000000 (pow t 2))>
#<alt (* 1/25000000000000000000000000000000 (pow t 2))>
#<alt (* 1/25000000000000000000000000000000 (pow t 2))>
#<alt (* 1/25000000000000000000000000000000 (pow t 2))>
#<alt (* 1/25000000000000000000000000000000 (pow t 2))>
#<alt (* 1/25000000000000000000000000000000 (pow t 2))>
#<alt (* 1/25000000000000000000000000000000 (pow t 2))>
#<alt (* 1/25000000000000000000000000000000 (pow t 2))>
#<alt (* 1/25000000000000000000000000000000 (pow t 2))>
#<alt (* 1/25000000000000000000000000000000 (pow t 2))>
#<alt (* 1/25000000000000000000000000000000 t)>
#<alt (* 1/25000000000000000000000000000000 t)>
#<alt (* 1/25000000000000000000000000000000 t)>
#<alt (* 1/25000000000000000000000000000000 t)>
#<alt (* 1/25000000000000000000000000000000 t)>
#<alt (* 1/25000000000000000000000000000000 t)>
#<alt (* 1/25000000000000000000000000000000 t)>
#<alt (* 1/25000000000000000000000000000000 t)>
#<alt (* 1/25000000000000000000000000000000 t)>
#<alt (* 1/25000000000000000000000000000000 t)>
#<alt (* 1/25000000000000000000000000000000 t)>
#<alt (* 1/25000000000000000000000000000000 t)>

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	t	@	0	(* t (* t 1/25000000000000000000000000000000))
0.0ms	t	@	0	(* t 1/25000000000000000000000000000000)
0.0ms	t	@	inf	(* t (* t 1/25000000000000000000000000000000))
0.0ms	t	@	-inf	(* t 1/25000000000000000000000000000000)
0.0ms	t	@	inf	(* t 1/25000000000000000000000000000000)

rewrite180.0ms (2.9%)

Algorithm

1×	batch-egg-rewrite

Rules

2200×	`pow-lowering-pow.f64`
2200×	`pow-lowering-pow.f32`
1432×	`prod-exp`
1304×	`-lowering-.f32`
1304×	`-lowering-.f64`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	4	10
1	8	8
2	12	8
3	19	8
4	36	8
5	94	8
6	288	2
7	1860	2
8	1892	2
9	2026	2
10	3303	2
0	8687	2

Stop Event

1×	iter limit
1×	node limit

Counts

2 → 2

Calls

Call 1

Inputs
(* t (* t 1/25000000000000000000000000000000))
(* t 1/25000000000000000000000000000000)

Outputs
#s(literal 1/25000000000000000000000000000000 binary64)
#s(literal 1/25000000000000000000000000000000 binary64)

simplify17.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

14×	`-lowering-.f32`
14×	`-lowering-.f64`
4×	`*-commutative`
2×	`pow-lowering-pow.f64`
2×	`pow-lowering-pow.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	96
1	9	84
2	12	84
0	12	84

Stop Event

1×	iter limit
1×	saturated

Counts

24 → 24

Calls

Call 1

Inputs
(* 1/25000000000000000000000000000000 (pow t 2))
(* 1/25000000000000000000000000000000 (pow t 2))
(* 1/25000000000000000000000000000000 (pow t 2))
(* 1/25000000000000000000000000000000 (pow t 2))
(* 1/25000000000000000000000000000000 (pow t 2))
(* 1/25000000000000000000000000000000 (pow t 2))
(* 1/25000000000000000000000000000000 (pow t 2))
(* 1/25000000000000000000000000000000 (pow t 2))
(* 1/25000000000000000000000000000000 (pow t 2))
(* 1/25000000000000000000000000000000 (pow t 2))
(* 1/25000000000000000000000000000000 (pow t 2))
(* 1/25000000000000000000000000000000 (pow t 2))
(* 1/25000000000000000000000000000000 t)
(* 1/25000000000000000000000000000000 t)
(* 1/25000000000000000000000000000000 t)
(* 1/25000000000000000000000000000000 t)
(* 1/25000000000000000000000000000000 t)
(* 1/25000000000000000000000000000000 t)
(* 1/25000000000000000000000000000000 t)
(* 1/25000000000000000000000000000000 t)
(* 1/25000000000000000000000000000000 t)
(* 1/25000000000000000000000000000000 t)
(* 1/25000000000000000000000000000000 t)
(* 1/25000000000000000000000000000000 t)

Outputs
(* 1/25000000000000000000000000000000 (pow t 2))
(.f64 t (.f64 #s(literal 1/25000000000000000000000000000000 binary64) t))
(* 1/25000000000000000000000000000000 (pow t 2))
(.f64 t (.f64 #s(literal 1/25000000000000000000000000000000 binary64) t))
(* 1/25000000000000000000000000000000 (pow t 2))
(.f64 t (.f64 #s(literal 1/25000000000000000000000000000000 binary64) t))
(* 1/25000000000000000000000000000000 (pow t 2))
(.f64 t (.f64 #s(literal 1/25000000000000000000000000000000 binary64) t))
(* 1/25000000000000000000000000000000 (pow t 2))
(.f64 t (.f64 #s(literal 1/25000000000000000000000000000000 binary64) t))
(* 1/25000000000000000000000000000000 (pow t 2))
(.f64 t (.f64 #s(literal 1/25000000000000000000000000000000 binary64) t))
(* 1/25000000000000000000000000000000 (pow t 2))
(.f64 t (.f64 #s(literal 1/25000000000000000000000000000000 binary64) t))
(* 1/25000000000000000000000000000000 (pow t 2))
(.f64 t (.f64 #s(literal 1/25000000000000000000000000000000 binary64) t))
(* 1/25000000000000000000000000000000 (pow t 2))
(.f64 t (.f64 #s(literal 1/25000000000000000000000000000000 binary64) t))
(* 1/25000000000000000000000000000000 (pow t 2))
(.f64 t (.f64 #s(literal 1/25000000000000000000000000000000 binary64) t))
(* 1/25000000000000000000000000000000 (pow t 2))
(.f64 t (.f64 #s(literal 1/25000000000000000000000000000000 binary64) t))
(* 1/25000000000000000000000000000000 (pow t 2))
(.f64 t (.f64 #s(literal 1/25000000000000000000000000000000 binary64) t))
(* 1/25000000000000000000000000000000 t)
(*.f64 #s(literal 1/25000000000000000000000000000000 binary64) t)
(* 1/25000000000000000000000000000000 t)
(*.f64 #s(literal 1/25000000000000000000000000000000 binary64) t)
(* 1/25000000000000000000000000000000 t)
(*.f64 #s(literal 1/25000000000000000000000000000000 binary64) t)
(* 1/25000000000000000000000000000000 t)
(*.f64 #s(literal 1/25000000000000000000000000000000 binary64) t)
(* 1/25000000000000000000000000000000 t)
(*.f64 #s(literal 1/25000000000000000000000000000000 binary64) t)
(* 1/25000000000000000000000000000000 t)
(*.f64 #s(literal 1/25000000000000000000000000000000 binary64) t)
(* 1/25000000000000000000000000000000 t)
(*.f64 #s(literal 1/25000000000000000000000000000000 binary64) t)
(* 1/25000000000000000000000000000000 t)
(*.f64 #s(literal 1/25000000000000000000000000000000 binary64) t)
(* 1/25000000000000000000000000000000 t)
(*.f64 #s(literal 1/25000000000000000000000000000000 binary64) t)
(* 1/25000000000000000000000000000000 t)
(*.f64 #s(literal 1/25000000000000000000000000000000 binary64) t)
(* 1/25000000000000000000000000000000 t)
(*.f64 #s(literal 1/25000000000000000000000000000000 binary64) t)
(* 1/25000000000000000000000000000000 t)
(*.f64 #s(literal 1/25000000000000000000000000000000 binary64) t)

eval2.0ms (0%)

Compiler: Compiled 125 to 5 computations (96% saved)

prune2.0ms (0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	24	2	26
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	24	3	27

Accuracy

99.4%

Counts

27 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.4%	(.f64 t (.f64 t #s(literal 1/25000000000000000000000000000000 binary64)))
▶	25.3%	(*.f64 t #s(literal 1/25000000000000000000000000000000 binary64))
▶	23.7%	#s(literal 1/25000000000000000000000000000000 binary64)

Compiler

Compiled 12 to 9 computations (25% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 1 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 t #s(literal 1/25000000000000000000000000000000 binary64))

Rules

4×	`-lowering-.f32`
4×	`-lowering-.f64`
2×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	6
1	4	6
0	4	6

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
1/25000000000000000000000000000000
(* t 1/25000000000000000000000000000000)
t
1/25000000000000000000000000000000

Outputs
1/25000000000000000000000000000000
#s(literal 1/25000000000000000000000000000000 binary64)
(* t 1/25000000000000000000000000000000)
(*.f64 #s(literal 1/25000000000000000000000000000000 binary64) t)
t
1/25000000000000000000000000000000
#s(literal 1/25000000000000000000000000000000 binary64)

localize25.0ms (0.4%)

Localize:

Found 1 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.3%	(*.f64 t #s(literal 1/25000000000000000000000000000000 binary64))

Results

19.0ms

256×

valid

Compiler

Compiled 8 to 4 computations (50% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

...c/correct-round.rkt:119:19: 5.0ms (70.6% of total)

ival-mult: 2.0ms (28.2% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

series1.0ms (0%)

Counts

1 → 12

Calls

Call 1

Inputs
#<alt (* t 1/25000000000000000000000000000000)>

Outputs
#<alt (* 1/25000000000000000000000000000000 t)>
#<alt (* 1/25000000000000000000000000000000 t)>
#<alt (* 1/25000000000000000000000000000000 t)>
#<alt (* 1/25000000000000000000000000000000 t)>
#<alt (* 1/25000000000000000000000000000000 t)>
#<alt (* 1/25000000000000000000000000000000 t)>
#<alt (* 1/25000000000000000000000000000000 t)>
#<alt (* 1/25000000000000000000000000000000 t)>
#<alt (* 1/25000000000000000000000000000000 t)>
#<alt (* 1/25000000000000000000000000000000 t)>
#<alt (* 1/25000000000000000000000000000000 t)>
#<alt (* 1/25000000000000000000000000000000 t)>

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	t	@	0	(* t 1/25000000000000000000000000000000)
0.0ms	t	@	inf	(* t 1/25000000000000000000000000000000)
0.0ms	t	@	-inf	(* t 1/25000000000000000000000000000000)

rewrite9.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

4×	`-lowering-.f32`
4×	`-lowering-.f64`
2×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	3
1	4	3
0	4	3

Stop Event

1×	iter limit
1×	saturated

Counts

1 → 2

Calls

Call 1

Inputs
(* t 1/25000000000000000000000000000000)

Outputs
(*.f64 t #s(literal 1/25000000000000000000000000000000 binary64))
(*.f64 #s(literal 1/25000000000000000000000000000000 binary64) t)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

4×	`-lowering-.f32`
4×	`-lowering-.f64`
2×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	36
1	4	36
0	4	36

Stop Event

1×	iter limit
1×	saturated

Counts

12 → 12

Calls

Call 1

Inputs
(* 1/25000000000000000000000000000000 t)
(* 1/25000000000000000000000000000000 t)
(* 1/25000000000000000000000000000000 t)
(* 1/25000000000000000000000000000000 t)
(* 1/25000000000000000000000000000000 t)
(* 1/25000000000000000000000000000000 t)
(* 1/25000000000000000000000000000000 t)
(* 1/25000000000000000000000000000000 t)
(* 1/25000000000000000000000000000000 t)
(* 1/25000000000000000000000000000000 t)
(* 1/25000000000000000000000000000000 t)
(* 1/25000000000000000000000000000000 t)

Outputs
(* 1/25000000000000000000000000000000 t)
(*.f64 #s(literal 1/25000000000000000000000000000000 binary64) t)
(* 1/25000000000000000000000000000000 t)
(*.f64 #s(literal 1/25000000000000000000000000000000 binary64) t)
(* 1/25000000000000000000000000000000 t)
(*.f64 #s(literal 1/25000000000000000000000000000000 binary64) t)
(* 1/25000000000000000000000000000000 t)
(*.f64 #s(literal 1/25000000000000000000000000000000 binary64) t)
(* 1/25000000000000000000000000000000 t)
(*.f64 #s(literal 1/25000000000000000000000000000000 binary64) t)
(* 1/25000000000000000000000000000000 t)
(*.f64 #s(literal 1/25000000000000000000000000000000 binary64) t)
(* 1/25000000000000000000000000000000 t)
(*.f64 #s(literal 1/25000000000000000000000000000000 binary64) t)
(* 1/25000000000000000000000000000000 t)
(*.f64 #s(literal 1/25000000000000000000000000000000 binary64) t)
(* 1/25000000000000000000000000000000 t)
(*.f64 #s(literal 1/25000000000000000000000000000000 binary64) t)
(* 1/25000000000000000000000000000000 t)
(*.f64 #s(literal 1/25000000000000000000000000000000 binary64) t)
(* 1/25000000000000000000000000000000 t)
(*.f64 #s(literal 1/25000000000000000000000000000000 binary64) t)
(* 1/25000000000000000000000000000000 t)
(*.f64 #s(literal 1/25000000000000000000000000000000 binary64) t)

eval1.0ms (0%)

Compiler: Compiled 43 to 4 computations (90.7% saved)

prune3.0ms (0.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	14	0	14
Fresh	0	0	0
Picked	0	2	2
Done	0	1	1
Total	14	3	17

Accuracy

99.4%

Counts

17 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.4%	(.f64 t (.f64 t #s(literal 1/25000000000000000000000000000000 binary64)))
✓	25.3%	(*.f64 t #s(literal 1/25000000000000000000000000000000 binary64))
✓	23.7%	#s(literal 1/25000000000000000000000000000000 binary64)

Compiler

Compiled 41 to 23 computations (43.9% saved)

regimes7.0ms (0.1%)

Counts

4 → 1

Calls

Call 1

Inputs
#s(literal 1/25000000000000000000000000000000 binary64)
(*.f64 t #s(literal 1/25000000000000000000000000000000 binary64))
(.f64 t (.f64 t #s(literal 1/25000000000000000000000000000000 binary64)))
(+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 t #s(literal 1/5000000000000000 binary64))) (+.f64 #s(literal 1 binary64) (.f64 t #s(literal 1/5000000000000000 binary64)))) (-.f64 #s(literal -1 binary64) (.f64 #s(literal 2 binary64) (*.f64 t #s(literal 1/5000000000000000 binary64)))))

Outputs
(.f64 t (.f64 t #s(literal 1/25000000000000000000000000000000 binary64)))

Calls

3 calls:

2.0ms

(*.f64 t #s(literal 1/5000000000000000 binary64))

2.0ms

(+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 1/5000000000000000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 1/5000000000000000 binary64)))) (-.f64 #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 t #s(literal 1/5000000000000000 binary64)))))

Results

Accuracy	Segments	Branch
99.4%	1	`t`
99.4%	1	`(+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 t #s(literal 1/5000000000000000 binary64))) (+.f64 #s(literal 1 binary64) (.f64 t #s(literal 1/5000000000000000 binary64)))) (-.f64 #s(literal -1 binary64) (.f64 #s(literal 2 binary64) (*.f64 t #s(literal 1/5000000000000000 binary64)))))`
99.4%	1	`(*.f64 t #s(literal 1/5000000000000000 binary64))`

Compiler

Compiled 26 to 15 computations (42.3% saved)

regimes2.0ms (0%)

Counts

2 → 1

Calls

Call 1

Inputs
#s(literal 1/25000000000000000000000000000000 binary64)
(*.f64 t #s(literal 1/25000000000000000000000000000000 binary64))

Outputs
(*.f64 t #s(literal 1/25000000000000000000000000000000 binary64))

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
25.3%	1	`t`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes1.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 1/25000000000000000000000000000000 binary64)

Outputs
#s(literal 1/25000000000000000000000000000000 binary64)

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
23.7%	1	`t`

Compiler

Compiled 2 to 1 computations (50% saved)

simplify10.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

4×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	9
1	6	9

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 t (.f64 t #s(literal 1/25000000000000000000000000000000 binary64)))
(*.f64 t #s(literal 1/25000000000000000000000000000000 binary64))
#s(literal 1/25000000000000000000000000000000 binary64)

Outputs
(.f64 t (.f64 t #s(literal 1/25000000000000000000000000000000 binary64)))
(*.f64 t #s(literal 1/25000000000000000000000000000000 binary64))
#s(literal 1/25000000000000000000000000000000 binary64)

soundness2.4s (38.6%)

Rules

2200×	`pow-lowering-pow.f64`
2200×	`pow-lowering-pow.f32`
1950×	`fnmadd-define`
1910×	`fma-define`
1790×	`+-lowering-+.f64`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	11	14
1	35	10
2	133	10
3	770	10
4	2242	4
5	5002	4
0	8231	4
0	4	10
1	8	8
2	12	8
3	19	8
4	36	8
5	94	8
6	288	2
7	1860	2
8	1892	2
9	2026	2
10	3303	2
0	8687	2

Stop Event

1×	done
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit

Compiler

Compiled 13 to 7 computations (46.2% saved)

preprocess33.0ms (0.5%)

Compiler: Compiled 98 to 50 computations (49% saved)

fma_test1

analyze7.0ms (0.1%)

sample3.0s (47.7%)

preprocess207.0ms (3.3%)

explain286.0ms (4.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0.1%)

localize40.0ms (0.6%)

series2.0ms (0%)

rewrite180.0ms (2.9%)

simplify17.0ms (0.3%)

eval2.0ms (0%)

prune2.0ms (0%)

simplify4.0ms (0.1%)

localize25.0ms (0.4%)

series1.0ms (0%)

rewrite9.0ms (0.2%)

simplify4.0ms (0.1%)

eval1.0ms (0%)

prune3.0ms (0.1%)

regimes7.0ms (0.1%)

regimes2.0ms (0%)

regimes1.0ms (0%)

simplify10.0ms (0.2%)

soundness2.4s (38.6%)

preprocess33.0ms (0.5%)

end0.0ms (0%)

Profiling