Metrics for Data.Colour.CIE:lightness from colour-2.3.3

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
100%	100%	0%	0%	0%	0%	0%	1

Compiler

Compiled 7 to 7 computations (0% saved)

sample535.0ms (23.9%)

Memory

26.3MiB live, 847.5MiB allocated

Samples

345.0ms	8 191×	0	valid
2.0ms	28×	2	valid
2.0ms	37×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 169.0ms

ival-mult: 98.0ms (57.9% of total)

ival-sub: 53.0ms (31.3% of total)

exact: 8.0ms (4.7% of total)

ival-true: 6.0ms (3.5% of total)

ival-assert: 3.0ms (1.8% of total)

adjust: 1.0ms (0.6% of total)

Bogosity

explain50.0ms (2.2%)

Memory

23.9MiB live, 107.3MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(-.f64 (*.f64 x #s(literal 116 binary64)) #s(literal 16 binary64))`
-	-	`#s(literal 16 binary64)`
-	-	`(*.f64 x #s(literal 116 binary64))`
-	-	`#s(literal 116 binary64)`
-	-	`x`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	1

Precision?

0/0

Recall?

0/0

Samples

17.0ms	508×	0	valid
0.0ms	4×	2	valid

Compiler

Compiled 31 to 19 computations (38.7% saved)

Precisions

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

ival-mult: 3.0ms (42.2% of total)

ival-sub: 3.0ms (42.2% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

preprocess16.0ms (0.7%)

Memory

-7.4MiB live, 30.1MiB allocated

Algorithm

1×	egg-herbie

Rules

22×	`cancel-sign-sub-inv`
20×	`distribute-lft-neg-in`
20×	`sub-neg`
14×	`distribute-rgt-neg-in`
14×	`neg-mul-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	19	11
2	45	10
3	96	10
4	145	10
5	164	10
6	172	10
0	5	5
0	7	5
1	11	5
2	12	5
0	12	4

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(-.f64 (*.f64 x #s(literal 116 binary64)) #s(literal 16 binary64))

Outputs
(-.f64 (*.f64 x #s(literal 116 binary64)) #s(literal 16 binary64))
(fma.f64 #s(literal 116 binary64) x #s(literal -16 binary64))

Compiler

Compiled 5 to 5 computations (0% saved)

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(-.f64 (*.f64 x #s(literal 116 binary64)) #s(literal 16 binary64))

Compiler

Compiled 5 to 5 computations (0% saved)

simplify4.0ms (0.2%)

Memory

6.6MiB live, 6.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 x #s(literal 116 binary64))
cost-diff	128	(-.f64 (*.f64 x #s(literal 116 binary64)) #s(literal 16 binary64))

Rules

4×	`lower-fma.f64`
4×	`lower-+.f64`
4×	`lower-fma.f32`
4×	`lower-*.f32`
4×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	11
0	7	11
1	11	11
2	12	11
0	12	10

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(-.f64 (*.f64 x #s(literal 116 binary64)) #s(literal 16 binary64))
(*.f64 x #s(literal 116 binary64))
x
#s(literal 116 binary64)
#s(literal 16 binary64)

Outputs
(-.f64 (*.f64 x #s(literal 116 binary64)) #s(literal 16 binary64))
(fma.f64 #s(literal 116 binary64) x #s(literal -16 binary64))
(*.f64 x #s(literal 116 binary64))
(*.f64 #s(literal 116 binary64) x)
x
#s(literal 116 binary64)
#s(literal 16 binary64)

localize15.0ms (0.7%)

Memory

-10.8MiB live, 26.5MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0	(*.f64 x #s(literal 116 binary64))
accuracy	0.015625	(-.f64 (*.f64 x #s(literal 116 binary64)) #s(literal 16 binary64))

Samples

10.0ms	254×	0	valid
0.0ms	2×	2	valid

Compiler

Compiled 13 to 7 computations (46.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-mult: 2.0ms (58.5% of total)

ival-sub: 1.0ms (29.3% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series2.0ms (0.1%)

Memory

6.1MiB live, 6.1MiB allocated

Counts

2 → 24

Calls

Call 1

Inputs
#s(alt (-.f64 (.f64 x #s(literal 116 binary64)) #s(literal 16 binary64)) (patch (-.f64 (.f64 x #s(literal 116 binary64)) #s(literal 16 binary64)) #<representation binary64>) () ())
#s(alt (.f64 x #s(literal 116 binary64)) (patch (.f64 x #s(literal 116 binary64)) #<representation binary64>) () ())

Inputs

#s(alt (-.f64 (*.f64 x #s(literal 116 binary64)) #s(literal 16 binary64)) (patch (-.f64 (*.f64 x #s(literal 116 binary64)) #s(literal 16 binary64)) #<representation binary64>) () ())

#s(alt (*.f64 x #s(literal 116 binary64)) (patch (*.f64 x #s(literal 116 binary64)) #<representation binary64>) () ())

Outputs
#s(alt -16 (taylor 0 x) (#s(alt (-.f64 (.f64 x #s(literal 116 binary64)) #s(literal 16 binary64)) (patch (-.f64 (.f64 x #s(literal 116 binary64)) #s(literal 16 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 116 x) 16) (taylor 0 x) (#s(alt (-.f64 (.f64 x #s(literal 116 binary64)) #s(literal 16 binary64)) (patch (-.f64 (.f64 x #s(literal 116 binary64)) #s(literal 16 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 116 x) 16) (taylor 0 x) (#s(alt (-.f64 (.f64 x #s(literal 116 binary64)) #s(literal 16 binary64)) (patch (-.f64 (.f64 x #s(literal 116 binary64)) #s(literal 16 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 116 x) 16) (taylor 0 x) (#s(alt (-.f64 (.f64 x #s(literal 116 binary64)) #s(literal 16 binary64)) (patch (-.f64 (.f64 x #s(literal 116 binary64)) #s(literal 16 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 116 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 116 binary64)) (patch (.f64 x #s(literal 116 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 116 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 116 binary64)) (patch (.f64 x #s(literal 116 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 116 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 116 binary64)) (patch (.f64 x #s(literal 116 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 116 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 116 binary64)) (patch (.f64 x #s(literal 116 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 116 x) (taylor inf x) (#s(alt (-.f64 (.f64 x #s(literal 116 binary64)) #s(literal 16 binary64)) (patch (-.f64 (.f64 x #s(literal 116 binary64)) #s(literal 16 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- 116 (* 16 (/ 1 x)))) (taylor inf x) (#s(alt (-.f64 (.f64 x #s(literal 116 binary64)) #s(literal 16 binary64)) (patch (-.f64 (.f64 x #s(literal 116 binary64)) #s(literal 16 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- 116 (* 16 (/ 1 x)))) (taylor inf x) (#s(alt (-.f64 (.f64 x #s(literal 116 binary64)) #s(literal 16 binary64)) (patch (-.f64 (.f64 x #s(literal 116 binary64)) #s(literal 16 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- 116 (* 16 (/ 1 x)))) (taylor inf x) (#s(alt (-.f64 (.f64 x #s(literal 116 binary64)) #s(literal 16 binary64)) (patch (-.f64 (.f64 x #s(literal 116 binary64)) #s(literal 16 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 116 x) (taylor inf x) (#s(alt (.f64 x #s(literal 116 binary64)) (patch (.f64 x #s(literal 116 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 116 x) (taylor inf x) (#s(alt (.f64 x #s(literal 116 binary64)) (patch (.f64 x #s(literal 116 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 116 x) (taylor inf x) (#s(alt (.f64 x #s(literal 116 binary64)) (patch (.f64 x #s(literal 116 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 116 x) (taylor inf x) (#s(alt (.f64 x #s(literal 116 binary64)) (patch (.f64 x #s(literal 116 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 116 x) (taylor -inf x) (#s(alt (-.f64 (.f64 x #s(literal 116 binary64)) #s(literal 16 binary64)) (patch (-.f64 (.f64 x #s(literal 116 binary64)) #s(literal 16 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 16 (/ 1 x)) 116))) (taylor -inf x) (#s(alt (-.f64 (.f64 x #s(literal 116 binary64)) #s(literal 16 binary64)) (patch (-.f64 (.f64 x #s(literal 116 binary64)) #s(literal 16 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 16 (/ 1 x)) 116))) (taylor -inf x) (#s(alt (-.f64 (.f64 x #s(literal 116 binary64)) #s(literal 16 binary64)) (patch (-.f64 (.f64 x #s(literal 116 binary64)) #s(literal 16 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 16 (/ 1 x)) 116))) (taylor -inf x) (#s(alt (-.f64 (.f64 x #s(literal 116 binary64)) #s(literal 16 binary64)) (patch (-.f64 (.f64 x #s(literal 116 binary64)) #s(literal 16 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 116 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 116 binary64)) (patch (.f64 x #s(literal 116 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 116 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 116 binary64)) (patch (.f64 x #s(literal 116 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 116 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 116 binary64)) (patch (.f64 x #s(literal 116 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 116 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 116 binary64)) (patch (.f64 x #s(literal 116 binary64)) #<representation binary64>) () ())) ())

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	((- (* x 116) 16) (* x 116))
0.0ms	x	@	-inf	((- (* x 116) 16) (* x 116))
0.0ms	x	@	0	((- (* x 116) 16) (* x 116))

simplify15.0ms (0.7%)

Memory

-14.1MiB live, 22.9MiB allocated

Algorithm

1×	egg-herbie

Rules

180×	`lower-fma.f64`
180×	`lower-fma.f32`
132×	`lower-*.f64`
132×	`lower-*.f32`
72×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	88
1	36	88
2	78	88
3	168	88
4	264	88
5	294	88
6	356	88
7	406	88
8	442	88
9	451	88
10	455	88
0	455	79

Stop Event

1×	iter limit
1×	saturated

Counts

24 → 24

Calls

Call 1

Inputs
-16
(- (* 116 x) 16)
(- (* 116 x) 16)
(- (* 116 x) 16)
(* 116 x)
(* 116 x)
(* 116 x)
(* 116 x)
(* 116 x)
(* x (- 116 (* 16 (/ 1 x))))
(* x (- 116 (* 16 (/ 1 x))))
(* x (- 116 (* 16 (/ 1 x))))
(* 116 x)
(* 116 x)
(* 116 x)
(* 116 x)
(* 116 x)
(* -1 (* x (- (* 16 (/ 1 x)) 116)))
(* -1 (* x (- (* 16 (/ 1 x)) 116)))
(* -1 (* x (- (* 16 (/ 1 x)) 116)))
(* 116 x)
(* 116 x)
(* 116 x)
(* 116 x)

Outputs
-16
#s(literal -16 binary64)
(- (* 116 x) 16)
(fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))
(- (* 116 x) 16)
(fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))
(- (* 116 x) 16)
(fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))
(* 116 x)
(*.f64 x #s(literal 116 binary64))
(* 116 x)
(*.f64 x #s(literal 116 binary64))
(* 116 x)
(*.f64 x #s(literal 116 binary64))
(* 116 x)
(*.f64 x #s(literal 116 binary64))
(* 116 x)
(*.f64 x #s(literal 116 binary64))
(* x (- 116 (* 16 (/ 1 x))))
(fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))
(* x (- 116 (* 16 (/ 1 x))))
(fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))
(* x (- 116 (* 16 (/ 1 x))))
(fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))
(* 116 x)
(*.f64 x #s(literal 116 binary64))
(* 116 x)
(*.f64 x #s(literal 116 binary64))
(* 116 x)
(*.f64 x #s(literal 116 binary64))
(* 116 x)
(*.f64 x #s(literal 116 binary64))
(* 116 x)
(*.f64 x #s(literal 116 binary64))
(* -1 (* x (- (* 16 (/ 1 x)) 116)))
(fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))
(* -1 (* x (- (* 16 (/ 1 x)) 116)))
(fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))
(* -1 (* x (- (* 16 (/ 1 x)) 116)))
(fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))
(* 116 x)
(*.f64 x #s(literal 116 binary64))
(* 116 x)
(*.f64 x #s(literal 116 binary64))
(* 116 x)
(*.f64 x #s(literal 116 binary64))
(* 116 x)
(*.f64 x #s(literal 116 binary64))

rewrite493.0ms (22%)

Memory

-9.7MiB live, 238.6MiB allocated

Rules

9 662×	`lower-fma.f64`
9 662×	`lower-fma.f32`
4 548×	`lower-/.f64`
4 548×	`lower-/.f32`
4 348×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	8
0	7	8
1	26	8
2	152	8
3	1211	8
0	8291	7

Stop Event

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

Counts

2 → 298

Calls

Call 1

Inputs
(-.f64 (*.f64 x #s(literal 116 binary64)) #s(literal 16 binary64))
(*.f64 x #s(literal 116 binary64))

Outputs
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eval41.0ms (1.8%)

Memory: 24.5MiB live, 97.9MiB allocated
Compiler: Compiled 9 962 to 890 computations (91.1% saved)

prune319.0ms (14.2%)

Memory

-18.6MiB live, 27.2MiB allocated

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	319	3	322
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	320	3	323

Accuracy

100.0%

Counts

323 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))
▶	46.4%	#s(approx (- (* x 116) 16) (*.f64 x #s(literal 116 binary64)))
▶	53.8%	#s(approx (- (* x 116) 16) #s(literal -16 binary64))

Compiler

Compiled 10 to 11 computations (-10% saved)

simplify4.0ms (0.2%)

Memory

13.0MiB live, 13.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))
cost-diff	0	(*.f64 x #s(literal 116 binary64))
cost-diff	0	#s(approx (- (* x 116) 16) (*.f64 x #s(literal 116 binary64)))
cost-diff	0	#s(approx (- (* x 116) 16) #s(literal -16 binary64))

Rules

4×	`lower-+.f64`
4×	`lower-fma.f32`
4×	`lower-*.f32`
4×	`lower-+.f32`
2×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	29
0	12	27
1	15	27
0	15	27

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (- (* x 116) 16) #s(literal -16 binary64))
#s(literal -16 binary64)
#s(approx (- (* x 116) 16) (*.f64 x #s(literal 116 binary64)))
(*.f64 x #s(literal 116 binary64))
x
#s(literal 116 binary64)
(fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))
x
#s(literal 116 binary64)
#s(literal -16 binary64)

Outputs
#s(approx (- (* x 116) 16) #s(literal -16 binary64))
#s(literal -16 binary64)
#s(approx (- (* x 116) 16) (*.f64 x #s(literal 116 binary64)))
#s(approx (- (* x 116) 16) (*.f64 #s(literal 116 binary64) x))
(*.f64 x #s(literal 116 binary64))
(*.f64 #s(literal 116 binary64) x)
x
#s(literal 116 binary64)
(fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))
(fma.f64 #s(literal 116 binary64) x #s(literal -16 binary64))
x
#s(literal 116 binary64)
#s(literal -16 binary64)

localize66.0ms (2.9%)

Memory

17.7MiB live, 50.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))
accuracy	0	(*.f64 x #s(literal 116 binary64))
accuracy	34.28142790875415	#s(approx (- (* x 116) 16) (*.f64 x #s(literal 116 binary64)))
accuracy	29.54985373988489	#s(approx (- (* x 116) 16) #s(literal -16 binary64))

Samples

12.0ms	254×	0	valid
0.0ms	2×	2	valid

Compiler

Compiled 26 to 9 computations (65.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-mult: 2.0ms (36.8% of total)

ival-add: 1.0ms (18.4% of total)

ival-sub: 1.0ms (18.4% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series4.0ms (0.2%)

Memory

-29.5MiB live, 6.3MiB allocated

Counts

4 → 48

Calls

Call 1

Inputs
#s(alt #s(approx (- (* x 116) 16) #s(literal -16 binary64)) (patch #s(approx (- (* x 116) 16) #s(literal -16 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (- (* x 116) 16) (.f64 x #s(literal 116 binary64))) (patch #s(approx (- ( x 116) 16) (*.f64 x #s(literal 116 binary64))) #<representation binary64>) () ())
#s(alt (.f64 x #s(literal 116 binary64)) (patch (.f64 x #s(literal 116 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64)) (patch (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64)) #<representation binary64>) () ())

Outputs
#s(alt -16 (taylor 0 x) (#s(alt #s(approx (- (* x 116) 16) #s(literal -16 binary64)) (patch #s(approx (- (* x 116) 16) #s(literal -16 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 116 x) 16) (taylor 0 x) (#s(alt #s(approx (- (* x 116) 16) #s(literal -16 binary64)) (patch #s(approx (- (* x 116) 16) #s(literal -16 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 116 x) 16) (taylor 0 x) (#s(alt #s(approx (- (* x 116) 16) #s(literal -16 binary64)) (patch #s(approx (- (* x 116) 16) #s(literal -16 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 116 x) 16) (taylor 0 x) (#s(alt #s(approx (- (* x 116) 16) #s(literal -16 binary64)) (patch #s(approx (- (* x 116) 16) #s(literal -16 binary64)) #<representation binary64>) () ())) ())
#s(alt -16 (taylor 0 x) (#s(alt #s(approx (- (* x 116) 16) (.f64 x #s(literal 116 binary64))) (patch #s(approx (- ( x 116) 16) (*.f64 x #s(literal 116 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* 116 x) 16) (taylor 0 x) (#s(alt #s(approx (- (* x 116) 16) (.f64 x #s(literal 116 binary64))) (patch #s(approx (- ( x 116) 16) (*.f64 x #s(literal 116 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* 116 x) 16) (taylor 0 x) (#s(alt #s(approx (- (* x 116) 16) (.f64 x #s(literal 116 binary64))) (patch #s(approx (- ( x 116) 16) (*.f64 x #s(literal 116 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* 116 x) 16) (taylor 0 x) (#s(alt #s(approx (- (* x 116) 16) (.f64 x #s(literal 116 binary64))) (patch #s(approx (- ( x 116) 16) (*.f64 x #s(literal 116 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 116 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 116 binary64)) (patch (.f64 x #s(literal 116 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 116 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 116 binary64)) (patch (.f64 x #s(literal 116 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 116 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 116 binary64)) (patch (.f64 x #s(literal 116 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 116 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 116 binary64)) (patch (.f64 x #s(literal 116 binary64)) #<representation binary64>) () ())) ())
#s(alt -16 (taylor 0 x) (#s(alt (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64)) (patch (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 116 x) 16) (taylor 0 x) (#s(alt (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64)) (patch (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 116 x) 16) (taylor 0 x) (#s(alt (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64)) (patch (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 116 x) 16) (taylor 0 x) (#s(alt (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64)) (patch (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 116 x) (taylor inf x) (#s(alt #s(approx (- (* x 116) 16) #s(literal -16 binary64)) (patch #s(approx (- (* x 116) 16) #s(literal -16 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- 116 (* 16 (/ 1 x)))) (taylor inf x) (#s(alt #s(approx (- (* x 116) 16) #s(literal -16 binary64)) (patch #s(approx (- (* x 116) 16) #s(literal -16 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- 116 (* 16 (/ 1 x)))) (taylor inf x) (#s(alt #s(approx (- (* x 116) 16) #s(literal -16 binary64)) (patch #s(approx (- (* x 116) 16) #s(literal -16 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- 116 (* 16 (/ 1 x)))) (taylor inf x) (#s(alt #s(approx (- (* x 116) 16) #s(literal -16 binary64)) (patch #s(approx (- (* x 116) 16) #s(literal -16 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 116 x) (taylor inf x) (#s(alt #s(approx (- (* x 116) 16) (.f64 x #s(literal 116 binary64))) (patch #s(approx (- ( x 116) 16) (*.f64 x #s(literal 116 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- 116 (* 16 (/ 1 x)))) (taylor inf x) (#s(alt #s(approx (- (* x 116) 16) (.f64 x #s(literal 116 binary64))) (patch #s(approx (- ( x 116) 16) (*.f64 x #s(literal 116 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- 116 (* 16 (/ 1 x)))) (taylor inf x) (#s(alt #s(approx (- (* x 116) 16) (.f64 x #s(literal 116 binary64))) (patch #s(approx (- ( x 116) 16) (*.f64 x #s(literal 116 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- 116 (* 16 (/ 1 x)))) (taylor inf x) (#s(alt #s(approx (- (* x 116) 16) (.f64 x #s(literal 116 binary64))) (patch #s(approx (- ( x 116) 16) (*.f64 x #s(literal 116 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 116 x) (taylor inf x) (#s(alt (.f64 x #s(literal 116 binary64)) (patch (.f64 x #s(literal 116 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 116 x) (taylor inf x) (#s(alt (.f64 x #s(literal 116 binary64)) (patch (.f64 x #s(literal 116 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 116 x) (taylor inf x) (#s(alt (.f64 x #s(literal 116 binary64)) (patch (.f64 x #s(literal 116 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 116 x) (taylor inf x) (#s(alt (.f64 x #s(literal 116 binary64)) (patch (.f64 x #s(literal 116 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 116 x) (taylor inf x) (#s(alt (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64)) (patch (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- 116 (* 16 (/ 1 x)))) (taylor inf x) (#s(alt (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64)) (patch (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- 116 (* 16 (/ 1 x)))) (taylor inf x) (#s(alt (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64)) (patch (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- 116 (* 16 (/ 1 x)))) (taylor inf x) (#s(alt (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64)) (patch (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 116 x) (taylor -inf x) (#s(alt #s(approx (- (* x 116) 16) #s(literal -16 binary64)) (patch #s(approx (- (* x 116) 16) #s(literal -16 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 16 (/ 1 x)) 116))) (taylor -inf x) (#s(alt #s(approx (- (* x 116) 16) #s(literal -16 binary64)) (patch #s(approx (- (* x 116) 16) #s(literal -16 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 16 (/ 1 x)) 116))) (taylor -inf x) (#s(alt #s(approx (- (* x 116) 16) #s(literal -16 binary64)) (patch #s(approx (- (* x 116) 16) #s(literal -16 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 16 (/ 1 x)) 116))) (taylor -inf x) (#s(alt #s(approx (- (* x 116) 16) #s(literal -16 binary64)) (patch #s(approx (- (* x 116) 16) #s(literal -16 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 116 x) (taylor -inf x) (#s(alt #s(approx (- (* x 116) 16) (.f64 x #s(literal 116 binary64))) (patch #s(approx (- ( x 116) 16) (*.f64 x #s(literal 116 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 16 (/ 1 x)) 116))) (taylor -inf x) (#s(alt #s(approx (- (* x 116) 16) (.f64 x #s(literal 116 binary64))) (patch #s(approx (- ( x 116) 16) (*.f64 x #s(literal 116 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 16 (/ 1 x)) 116))) (taylor -inf x) (#s(alt #s(approx (- (* x 116) 16) (.f64 x #s(literal 116 binary64))) (patch #s(approx (- ( x 116) 16) (*.f64 x #s(literal 116 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 16 (/ 1 x)) 116))) (taylor -inf x) (#s(alt #s(approx (- (* x 116) 16) (.f64 x #s(literal 116 binary64))) (patch #s(approx (- ( x 116) 16) (*.f64 x #s(literal 116 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 116 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 116 binary64)) (patch (.f64 x #s(literal 116 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 116 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 116 binary64)) (patch (.f64 x #s(literal 116 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 116 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 116 binary64)) (patch (.f64 x #s(literal 116 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 116 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 116 binary64)) (patch (.f64 x #s(literal 116 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 116 x) (taylor -inf x) (#s(alt (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64)) (patch (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 16 (/ 1 x)) 116))) (taylor -inf x) (#s(alt (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64)) (patch (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 16 (/ 1 x)) 116))) (taylor -inf x) (#s(alt (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64)) (patch (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 16 (/ 1 x)) 116))) (taylor -inf x) (#s(alt (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64)) (patch (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64)) #<representation binary64>) () ())) ())

Calls

3 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	((- (* x 116) 16) (- (* x 116) 16) (* x 116) (+ (* x 116) -16))
0.0ms	x	@	inf	((- (* x 116) 16) (- (* x 116) 16) (* x 116) (+ (* x 116) -16))
0.0ms	x	@	0	((- (* x 116) 16) (- (* x 116) 16) (* x 116) (+ (* x 116) -16))

simplify13.0ms (0.6%)

Memory

30.6MiB live, 30.6MiB allocated

Algorithm

1×	egg-herbie

Rules

180×	`lower-fma.f64`
180×	`lower-fma.f32`
132×	`lower-*.f64`
132×	`lower-*.f32`
72×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	192
1	36	192
2	78	192
3	168	192
4	264	192
5	294	192
6	356	192
7	406	192
8	442	192
9	451	192
10	455	192
0	455	165

Stop Event

1×	iter limit
1×	saturated

Counts

48 → 48

Calls

Call 1

Inputs
-16
(- (* 116 x) 16)
(- (* 116 x) 16)
(- (* 116 x) 16)
-16
(- (* 116 x) 16)
(- (* 116 x) 16)
(- (* 116 x) 16)
(* 116 x)
(* 116 x)
(* 116 x)
(* 116 x)
-16
(- (* 116 x) 16)
(- (* 116 x) 16)
(- (* 116 x) 16)
(* 116 x)
(* x (- 116 (* 16 (/ 1 x))))
(* x (- 116 (* 16 (/ 1 x))))
(* x (- 116 (* 16 (/ 1 x))))
(* 116 x)
(* x (- 116 (* 16 (/ 1 x))))
(* x (- 116 (* 16 (/ 1 x))))
(* x (- 116 (* 16 (/ 1 x))))
(* 116 x)
(* 116 x)
(* 116 x)
(* 116 x)
(* 116 x)
(* x (- 116 (* 16 (/ 1 x))))
(* x (- 116 (* 16 (/ 1 x))))
(* x (- 116 (* 16 (/ 1 x))))
(* 116 x)
(* -1 (* x (- (* 16 (/ 1 x)) 116)))
(* -1 (* x (- (* 16 (/ 1 x)) 116)))
(* -1 (* x (- (* 16 (/ 1 x)) 116)))
(* 116 x)
(* -1 (* x (- (* 16 (/ 1 x)) 116)))
(* -1 (* x (- (* 16 (/ 1 x)) 116)))
(* -1 (* x (- (* 16 (/ 1 x)) 116)))
(* 116 x)
(* 116 x)
(* 116 x)
(* 116 x)
(* 116 x)
(* -1 (* x (- (* 16 (/ 1 x)) 116)))
(* -1 (* x (- (* 16 (/ 1 x)) 116)))
(* -1 (* x (- (* 16 (/ 1 x)) 116)))

Outputs
-16
#s(literal -16 binary64)
(- (* 116 x) 16)
(fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))
(- (* 116 x) 16)
(fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))
(- (* 116 x) 16)
(fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))
-16
#s(literal -16 binary64)
(- (* 116 x) 16)
(fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))
(- (* 116 x) 16)
(fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))
(- (* 116 x) 16)
(fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))
(* 116 x)
(*.f64 x #s(literal 116 binary64))
(* 116 x)
(*.f64 x #s(literal 116 binary64))
(* 116 x)
(*.f64 x #s(literal 116 binary64))
(* 116 x)
(*.f64 x #s(literal 116 binary64))
-16
#s(literal -16 binary64)
(- (* 116 x) 16)
(fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))
(- (* 116 x) 16)
(fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))
(- (* 116 x) 16)
(fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))
(* 116 x)
(*.f64 x #s(literal 116 binary64))
(* x (- 116 (* 16 (/ 1 x))))
(fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))
(* x (- 116 (* 16 (/ 1 x))))
(fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))
(* x (- 116 (* 16 (/ 1 x))))
(fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))
(* 116 x)
(*.f64 x #s(literal 116 binary64))
(* x (- 116 (* 16 (/ 1 x))))
(fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))
(* x (- 116 (* 16 (/ 1 x))))
(fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))
(* x (- 116 (* 16 (/ 1 x))))
(fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))
(* 116 x)
(*.f64 x #s(literal 116 binary64))
(* 116 x)
(*.f64 x #s(literal 116 binary64))
(* 116 x)
(*.f64 x #s(literal 116 binary64))
(* 116 x)
(*.f64 x #s(literal 116 binary64))
(* 116 x)
(*.f64 x #s(literal 116 binary64))
(* x (- 116 (* 16 (/ 1 x))))
(fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))
(* x (- 116 (* 16 (/ 1 x))))
(fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))
(* x (- 116 (* 16 (/ 1 x))))
(fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))
(* 116 x)
(*.f64 x #s(literal 116 binary64))
(* -1 (* x (- (* 16 (/ 1 x)) 116)))
(fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))
(* -1 (* x (- (* 16 (/ 1 x)) 116)))
(fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))
(* -1 (* x (- (* 16 (/ 1 x)) 116)))
(fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))
(* 116 x)
(*.f64 x #s(literal 116 binary64))
(* -1 (* x (- (* 16 (/ 1 x)) 116)))
(fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))
(* -1 (* x (- (* 16 (/ 1 x)) 116)))
(fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))
(* -1 (* x (- (* 16 (/ 1 x)) 116)))
(fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))
(* 116 x)
(*.f64 x #s(literal 116 binary64))
(* 116 x)
(*.f64 x #s(literal 116 binary64))
(* 116 x)
(*.f64 x #s(literal 116 binary64))
(* 116 x)
(*.f64 x #s(literal 116 binary64))
(* 116 x)
(*.f64 x #s(literal 116 binary64))
(* -1 (* x (- (* 16 (/ 1 x)) 116)))
(fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))
(* -1 (* x (- (* 16 (/ 1 x)) 116)))
(fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))
(* -1 (* x (- (* 16 (/ 1 x)) 116)))
(fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))

rewrite296.0ms (13.2%)

Memory

-46.1MiB live, 261.8MiB allocated

Rules

6 712×	`lower-fma.f32`
6 710×	`lower-fma.f64`
5 072×	`lower-/.f64`
5 072×	`lower-/.f32`
4 324×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	23
0	12	21
1	40	21
2	230	21
3	1868	21
0	8631	21

Stop Event

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

Counts

4 → 314

Calls

Call 1

Inputs
#s(approx (- (* x 116) 16) #s(literal -16 binary64))
#s(approx (- (* x 116) 16) (*.f64 x #s(literal 116 binary64)))
(*.f64 x #s(literal 116 binary64))
(fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))

Outputs
#<batchref>
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eval52.0ms (2.3%)

Memory: 7.4MiB live, 80.9MiB allocated
Compiler: Compiled 10 402 to 933 computations (91% saved)

prune10.0ms (0.4%)

Memory

-20.7MiB live, 27.4MiB allocated

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	362	0	362
Fresh	0	0	0
Picked	0	3	3
Done	0	0	0
Total	362	3	365

Accuracy

100.0%

Counts

365 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))
✓	46.4%	#s(approx (- (* x 116) 16) (*.f64 x #s(literal 116 binary64)))
✓	53.8%	#s(approx (- (* x 116) 16) #s(literal -16 binary64))

Compiler

Compiled 25 to 20 computations (20% saved)

regimes7.0ms (0.3%)

Memory

14.1MiB live, 14.1MiB allocated

Counts

4 → 1

Calls

Call 1

Inputs
#s(approx (- (* x 116) 16) #s(literal -16 binary64))
#s(approx (- (* x 116) 16) (*.f64 x #s(literal 116 binary64)))
(fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))
(-.f64 (*.f64 x #s(literal 116 binary64)) #s(literal 16 binary64))

Outputs
(fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))

Calls

3 calls:

2.0ms	(*.f64 x #s(literal 116 binary64))
2.0ms	x
2.0ms	(-.f64 (*.f64 x #s(literal 116 binary64)) #s(literal 16 binary64))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`(-.f64 (*.f64 x #s(literal 116 binary64)) #s(literal 16 binary64))`
100.0%	1	`(*.f64 x #s(literal 116 binary64))`

Compiler

Compiled 9 to 9 computations (0% saved)

regimes5.0ms (0.2%)

Memory

10.5MiB live, 10.5MiB allocated

Counts

2 → 3

Calls

Call 1

Inputs
#s(approx (- (* x 116) 16) #s(literal -16 binary64))
#s(approx (- (* x 116) 16) (*.f64 x #s(literal 116 binary64)))

Outputs
#s(approx (- (* x 116) 16) (*.f64 x #s(literal 116 binary64)))
#s(approx (- (* x 116) 16) #s(literal -16 binary64))
#s(approx (- (* x 116) 16) (*.f64 x #s(literal 116 binary64)))

Calls

3 calls:

2.0ms	(*.f64 x #s(literal 116 binary64))
1.0ms	x
1.0ms	(-.f64 (*.f64 x #s(literal 116 binary64)) #s(literal 16 binary64))

Results

Accuracy	Segments	Branch
96.7%	3	`x`
96.7%	3	`(-.f64 (*.f64 x #s(literal 116 binary64)) #s(literal 16 binary64))`
96.7%	3	`(*.f64 x #s(literal 116 binary64))`

Compiler

Compiled 9 to 9 computations (0% saved)

regimes4.0ms (0.2%)

Memory

10.2MiB live, 10.2MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (- (* x 116) 16) #s(literal -16 binary64))

Outputs
#s(approx (- (* x 116) 16) #s(literal -16 binary64))

Calls

3 calls:

1.0ms	x
1.0ms	(*.f64 x #s(literal 116 binary64))
1.0ms	(-.f64 (*.f64 x #s(literal 116 binary64)) #s(literal 16 binary64))

Results

Accuracy	Segments	Branch
53.8%	1	`x`
53.8%	1	`(-.f64 (*.f64 x #s(literal 116 binary64)) #s(literal 16 binary64))`
53.8%	1	`(*.f64 x #s(literal 116 binary64))`

Compiler

Compiled 9 to 9 computations (0% saved)

bsearch14.0ms (0.6%)

Memory

-16.8MiB live, 22.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
4.0ms	14.21589310299562	24.508162416427872
9.0ms	-165758.2411753894	-3.388417522726069

Samples

6.0ms

192×

valid

Compiler

Compiled 56 to 93 computations (-66.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

ival-sub: 1.0ms (77.9% of total)

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

exact: 0.0ms (0% of total)

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

simplify23.0ms (1%)

Memory

-0.4MiB live, 37.9MiB allocated

Algorithm

1×	egg-herbie

Rules

2×	`-commutative-binary64-.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	48
1	15	48

Stop Event

1×

saturated

Calls

Call 1

Inputs

(fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))

(if (<=.f64 (*.f64 x #s(literal 116 binary64)) #s(literal -16 binary64)) #s(approx (- (* x 116) 16) (*.f64 x #s(literal 116 binary64))) (if (<=.f64 (*.f64 x #s(literal 116 binary64)) #s(literal 16 binary64)) #s(approx (- (* x 116) 16) #s(literal -16 binary64)) #s(approx (- (* x 116) 16) (*.f64 x #s(literal 116 binary64)))))

#s(approx (- (* x 116) 16) #s(literal -16 binary64))

Outputs
(fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))
(if (<=.f64 (.f64 x #s(literal 116 binary64)) #s(literal -16 binary64)) #s(approx (- ( x 116) 16) (.f64 x #s(literal 116 binary64))) (if (<=.f64 (.f64 x #s(literal 116 binary64)) #s(literal 16 binary64)) #s(approx (- (* x 116) 16) #s(literal -16 binary64)) #s(approx (- (* x 116) 16) (*.f64 x #s(literal 116 binary64)))))
(if (<=.f64 (.f64 #s(literal 116 binary64) x) #s(literal -16 binary64)) #s(approx (- ( x 116) 16) (.f64 #s(literal 116 binary64) x)) (if (<=.f64 (.f64 #s(literal 116 binary64) x) #s(literal 16 binary64)) #s(approx (- (* x 116) 16) #s(literal -16 binary64)) #s(approx (- (* x 116) 16) (*.f64 #s(literal 116 binary64) x))))
#s(approx (- (* x 116) 16) #s(literal -16 binary64))

soundness203.0ms (9.1%)

Memory

-5.9MiB live, 108.0MiB allocated

Rules

9 662×	`lower-fma.f64`
9 662×	`lower-fma.f32`
4 548×	`lower-/.f64`
4 548×	`lower-/.f32`
4 348×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	88
1	36	88
2	78	88
3	168	88
4	264	88
5	294	88
6	356	88
7	406	88
8	442	88
9	451	88
10	455	88
0	455	79
0	5	8
0	7	8
1	26	8
2	152	8
3	1211	8
0	8291	7

Stop Event

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

Compiler

Compiled 42 to 26 computations (38.1% saved)

preprocess49.0ms (2.2%)

Memory: 8.1MiB live, 46.5MiB allocated
Compiler: Compiled 66 to 34 computations (48.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	15	88
1	36	88
2	78	88
3	168	88
4	264	88
5	294	88
6	356	88
7	406	88
8	442	88
9	451	88
10	455	88
0	455	79

Iter	Nodes	Cost
0	15	192
1	36	192
2	78	192
3	168	192
4	264	192
5	294	192
6	356	192
7	406	192
8	442	192
9	451	192
10	455	192
0	455	165

Iter	Nodes	Cost
0	15	88
1	36	88
2	78	88
3	168	88
4	264	88
5	294	88
6	356	88
7	406	88
8	442	88
9	451	88
10	455	88
0	455	79

Iter	Nodes	Cost
0	15	192
1	36	192
2	78	192
3	168	192
4	264	192
5	294	192
6	356	192
7	406	192
8	442	192
9	451	192
10	455	192
0	455	165

start0.0ms (0%)

analyze0.0ms (0%)

sample535.0ms (23.9%)

explain50.0ms (2.2%)

preprocess16.0ms (0.7%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify4.0ms (0.2%)

localize15.0ms (0.7%)

series2.0ms (0.1%)

simplify15.0ms (0.7%)

rewrite493.0ms (22%)

eval41.0ms (1.8%)

prune319.0ms (14.2%)

simplify4.0ms (0.2%)

localize66.0ms (2.9%)

series4.0ms (0.2%)

simplify13.0ms (0.6%)

rewrite296.0ms (13.2%)

eval52.0ms (2.3%)

prune10.0ms (0.4%)

regimes7.0ms (0.3%)

regimes5.0ms (0.2%)

regimes4.0ms (0.2%)

bsearch14.0ms (0.6%)

simplify23.0ms (1%)

soundness203.0ms (9.1%)

preprocess49.0ms (2.2%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	15	88
1	36	88
2	78	88
3	168	88
4	264	88
5	294	88
6	356	88
7	406	88
8	442	88
9	451	88
10	455	88
0	455	79

Iter	Nodes	Cost
0	15	192
1	36	192
2	78	192
3	168	192
4	264	192
5	294	192
6	356	192
7	406	192
8	442	192
9	451	192
10	455	192
0	455	165