Metrics for Data.Colour.CIE:cieLAB from colour-2.3.3, B

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.2MiB live, 0.2MiB 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)

sample892.0ms (30.3%)

Memory

15.4MiB live, 649.2MiB allocated

Samples

548.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 129.0ms

ival-div: 59.0ms (45.8% of total)

ival-add: 52.0ms (40.4% of total)

exact: 8.0ms (6.2% of total)

ival-true: 6.0ms (4.7% of total)

ival-assert: 4.0ms (3.1% of total)

Bogosity

explain130.0ms (4.4%)

Memory

-3.1MiB live, 71.9MiB allocated

FPErrors

Click to see full error table

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

61.0ms

512×

valid

Compiler

Compiled 42 to 24 computations (42.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-div: 4.0ms (49.9% of total)

ival-add: 3.0ms (37.4% of total)

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

exact: 0.0ms (0% of total)

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

preprocess15.0ms (0.5%)

Memory

10.4MiB live, 10.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	12
1	19	10
2	34	10
3	77	10
4	163	10
5	249	10
6	268	10
7	272	10
0	5	5
0	7	5
1	8	5
0	8	5

Stop Event

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

Calls

Call 1

Inputs
(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))

Outputs
(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))
(/.f64 (+.f64 #s(literal 16 binary64) x) #s(literal 116 binary64))

Compiler

Compiled 5 to 5 computations (0% saved)

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 5 to 5 computations (0% saved)

simplify38.0ms (1.3%)

Memory

-46.2MiB live, 2.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	11
0	7	11
1	8	11
0	8	11

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))
(+.f64 x #s(literal 16 binary64))
x
#s(literal 16 binary64)
#s(literal 116 binary64)

Outputs
(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))
(/.f64 (+.f64 #s(literal 16 binary64) x) #s(literal 116 binary64))
(+.f64 x #s(literal 16 binary64))
(+.f64 #s(literal 16 binary64) x)
x
#s(literal 16 binary64)
#s(literal 116 binary64)

localize13.0ms (0.4%)

Memory

16.1MiB live, 16.1MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0	(+.f64 x #s(literal 16 binary64))
accuracy	0.0078125	(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))

Samples

9.0ms

256×

valid

Compiler

Compiled 24 to 12 computations (50% saved)

Precisions

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

ival-div: 2.0ms (52.3% of total)

ival-add: 2.0ms (52.3% of total)

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

exact: 0.0ms (0% of total)

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

series2.0ms (0.1%)

Memory

3.0MiB live, 3.0MiB allocated

Counts

2 → 24

Calls

Call 1

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

Inputs

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

#s(alt (+.f64 x #s(literal 16 binary64)) (patch (+.f64 x #s(literal 16 binary64)) #<representation binary64>) () ())

Outputs
#s(alt 4/29 (taylor 0 x) (#s(alt (/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64)) (patch (/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 4/29 (* 1/116 x)) (taylor 0 x) (#s(alt (/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64)) (patch (/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 4/29 (* 1/116 x)) (taylor 0 x) (#s(alt (/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64)) (patch (/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 4/29 (* 1/116 x)) (taylor 0 x) (#s(alt (/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64)) (patch (/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64)) #<representation binary64>) () ())) ())
#s(alt 16 (taylor 0 x) (#s(alt (+.f64 x #s(literal 16 binary64)) (patch (+.f64 x #s(literal 16 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 16 x) (taylor 0 x) (#s(alt (+.f64 x #s(literal 16 binary64)) (patch (+.f64 x #s(literal 16 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 16 x) (taylor 0 x) (#s(alt (+.f64 x #s(literal 16 binary64)) (patch (+.f64 x #s(literal 16 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 16 x) (taylor 0 x) (#s(alt (+.f64 x #s(literal 16 binary64)) (patch (+.f64 x #s(literal 16 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/116 x) (taylor inf x) (#s(alt (/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64)) (patch (/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/116 (* 4/29 (/ 1 x)))) (taylor inf x) (#s(alt (/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64)) (patch (/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/116 (* 4/29 (/ 1 x)))) (taylor inf x) (#s(alt (/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64)) (patch (/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/116 (* 4/29 (/ 1 x)))) (taylor inf x) (#s(alt (/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64)) (patch (/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (+.f64 x #s(literal 16 binary64)) (patch (+.f64 x #s(literal 16 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 16 (/ 1 x)))) (taylor inf x) (#s(alt (+.f64 x #s(literal 16 binary64)) (patch (+.f64 x #s(literal 16 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 16 (/ 1 x)))) (taylor inf x) (#s(alt (+.f64 x #s(literal 16 binary64)) (patch (+.f64 x #s(literal 16 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 16 (/ 1 x)))) (taylor inf x) (#s(alt (+.f64 x #s(literal 16 binary64)) (patch (+.f64 x #s(literal 16 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/116 x) (taylor -inf x) (#s(alt (/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64)) (patch (/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/116 (* 4/29 (/ 1 x)))) (taylor -inf x) (#s(alt (/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64)) (patch (/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/116 (* 4/29 (/ 1 x)))) (taylor -inf x) (#s(alt (/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64)) (patch (/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/116 (* 4/29 (/ 1 x)))) (taylor -inf x) (#s(alt (/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64)) (patch (/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (+.f64 x #s(literal 16 binary64)) (patch (+.f64 x #s(literal 16 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 16 (/ 1 x)))) (taylor -inf x) (#s(alt (+.f64 x #s(literal 16 binary64)) (patch (+.f64 x #s(literal 16 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 16 (/ 1 x)))) (taylor -inf x) (#s(alt (+.f64 x #s(literal 16 binary64)) (patch (+.f64 x #s(literal 16 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 16 (/ 1 x)))) (taylor -inf x) (#s(alt (+.f64 x #s(literal 16 binary64)) (patch (+.f64 x #s(literal 16 binary64)) #<representation binary64>) () ())) ())

Calls

3 calls:

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

simplify5.0ms (0.2%)

Memory

5.5MiB live, 5.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	82
1	41	82
2	67	82
3	140	82
4	140	82
5	143	82
6	148	82
7	148	82
0	148	73

Stop Event

1×	iter limit
1×	saturated

Counts

24 → 22

Calls

Call 1

Inputs
4/29
(+ 4/29 (* 1/116 x))
(+ 4/29 (* 1/116 x))
(+ 4/29 (* 1/116 x))
16
(+ 16 x)
(+ 16 x)
(+ 16 x)
(* 1/116 x)
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
x
(* x (+ 1 (* 16 (/ 1 x))))
(* x (+ 1 (* 16 (/ 1 x))))
(* x (+ 1 (* 16 (/ 1 x))))
(* 1/116 x)
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
x
(* x (+ 1 (* 16 (/ 1 x))))
(* x (+ 1 (* 16 (/ 1 x))))
(* x (+ 1 (* 16 (/ 1 x))))

Outputs
4/29
#s(literal 4/29 binary64)
(+ 4/29 (* 1/116 x))
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
(+ 4/29 (* 1/116 x))
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
(+ 4/29 (* 1/116 x))
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
16
#s(literal 16 binary64)
(+ 16 x)
(+.f64 #s(literal 16 binary64) x)
(+ 16 x)
(+.f64 #s(literal 16 binary64) x)
(+ 16 x)
(+.f64 #s(literal 16 binary64) x)
(* 1/116 x)
(*.f64 x #s(literal 1/116 binary64))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
x
(* x (+ 1 (* 16 (/ 1 x))))
(+.f64 #s(literal 16 binary64) x)
(* x (+ 1 (* 16 (/ 1 x))))
(+.f64 #s(literal 16 binary64) x)
(* x (+ 1 (* 16 (/ 1 x))))
(+.f64 #s(literal 16 binary64) x)
(* 1/116 x)
(*.f64 x #s(literal 1/116 binary64))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
x
(* x (+ 1 (* 16 (/ 1 x))))
(+.f64 #s(literal 16 binary64) x)
(* x (+ 1 (* 16 (/ 1 x))))
(+.f64 #s(literal 16 binary64) x)
(* x (+ 1 (* 16 (/ 1 x))))
(+.f64 #s(literal 16 binary64) x)

rewrite332.0ms (11.3%)

Memory

-19.8MiB live, 144.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	8
0	7	8
1	33	8
2	177	8
3	1450	8
0	8329	7

Stop Event

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

Counts

2 → 412

Calls

Call 1

Inputs
(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))
(+.f64 x #s(literal 16 binary64))

Outputs
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#<batchref>
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eval139.0ms (4.7%)

Memory: 1.7MiB live, 111.9MiB allocated
Compiler: Compiled 8 280 to 1 219 computations (85.3% saved)

prune55.0ms (1.9%)

Memory

-13.0MiB live, 38.6MiB allocated

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	429	5	434
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	429	6	435

Accuracy

100.0%

Counts

435 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
▶	74.0%	(/.f64 (fma.f64 x x #s(literal -256 binary64)) (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64)))
✓	100.0%	(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))
▶	99.9%	(*.f64 (-.f64 x #s(literal -16 binary64)) #s(literal 1/116 binary64))
▶	48.8%	#s(approx (/ (+ x 16) 116) (*.f64 x #s(literal 1/116 binary64)))
▶	52.9%	#s(approx (/ (+ x 16) 116) #s(literal 4/29 binary64))

Compiler

Compiled 53 to 51 computations (3.8% saved)

simplify5.0ms (0.2%)

Memory

8.5MiB live, 8.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 9 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64))
cost-diff	0	(fma.f64 x x #s(literal -256 binary64))
cost-diff	0	(/.f64 (fma.f64 x x #s(literal -256 binary64)) (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64)))
cost-diff	0	(-.f64 x #s(literal -16 binary64))
cost-diff	128	(*.f64 (-.f64 x #s(literal -16 binary64)) #s(literal 1/116 binary64))
cost-diff	0	(*.f64 x #s(literal 1/116 binary64))
cost-diff	0	#s(approx (/ (+ x 16) 116) (*.f64 x #s(literal 1/116 binary64)))
cost-diff	0	#s(approx (/ (+ x 16) 116) #s(literal 4/29 binary64))
cost-diff	0	(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	61
0	28	60
1	37	60
2	43	60
3	45	60
4	46	60
0	46	60

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
x
#s(literal 1/116 binary64)
#s(literal 4/29 binary64)
#s(approx (/ (+ x 16) 116) #s(literal 4/29 binary64))
#s(literal 4/29 binary64)
#s(approx (/ (+ x 16) 116) (*.f64 x #s(literal 1/116 binary64)))
(*.f64 x #s(literal 1/116 binary64))
x
#s(literal 1/116 binary64)
(*.f64 (-.f64 x #s(literal -16 binary64)) #s(literal 1/116 binary64))
(-.f64 x #s(literal -16 binary64))
x
#s(literal -16 binary64)
#s(literal 1/116 binary64)
(/.f64 (fma.f64 x x #s(literal -256 binary64)) (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64)))
(fma.f64 x x #s(literal -256 binary64))
x
#s(literal -256 binary64)
(fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64))
#s(literal 116 binary64)
#s(literal -1856 binary64)

Outputs
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
(fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64))
x
#s(literal 1/116 binary64)
#s(literal 4/29 binary64)
#s(approx (/ (+ x 16) 116) #s(literal 4/29 binary64))
#s(literal 4/29 binary64)
#s(approx (/ (+ x 16) 116) (*.f64 x #s(literal 1/116 binary64)))
#s(approx (/ (+ x 16) 116) (*.f64 #s(literal 1/116 binary64) x))
(*.f64 x #s(literal 1/116 binary64))
(*.f64 #s(literal 1/116 binary64) x)
x
#s(literal 1/116 binary64)
(*.f64 (-.f64 x #s(literal -16 binary64)) #s(literal 1/116 binary64))
(fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64))
(-.f64 x #s(literal -16 binary64))
x
#s(literal -16 binary64)
#s(literal 1/116 binary64)
(/.f64 (fma.f64 x x #s(literal -256 binary64)) (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64)))
(fma.f64 x x #s(literal -256 binary64))
x
#s(literal -256 binary64)
(fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64))
#s(literal 116 binary64)
#s(literal -1856 binary64)

localize78.0ms (2.7%)

Memory

8.9MiB live, 86.6MiB allocated

Localize:

Found 9 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 x x #s(literal -256 binary64))
accuracy	0	(fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64))
accuracy	16.595376029193467	(/.f64 (fma.f64 x x #s(literal -256 binary64)) (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64)))
accuracy	0	(-.f64 x #s(literal -16 binary64))
accuracy	0.06640625	(*.f64 (-.f64 x #s(literal -16 binary64)) #s(literal 1/116 binary64))
accuracy	0.12109375	(*.f64 x #s(literal 1/116 binary64))
accuracy	32.71435243696701	#s(approx (/ (+ x 16) 116) (*.f64 x #s(literal 1/116 binary64)))
accuracy	30.1727991658876	#s(approx (/ (+ x 16) 116) #s(literal 4/29 binary64))
accuracy	0.0625	(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))

Samples

50.0ms	255×	0	valid
0.0ms	1×	2	valid

Compiler

Compiled 113 to 37 computations (67.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 39.0ms

ival-div: 18.0ms (46.1% of total)

const: 8.0ms (20.5% of total)

ival-mult: 6.0ms (15.4% of total)

ival-add: 5.0ms (12.8% of total)

ival-sub: 1.0ms (2.6% of total)

exact: 1.0ms (2.6% of total)

adjust: 0.0ms (0% of total)

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

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

series7.0ms (0.2%)

Memory

7.1MiB live, 7.1MiB allocated

Counts

9 → 108

Calls

Call 1

Inputs
#s(alt (fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64)) (patch (fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ x 16) 116) #s(literal 4/29 binary64)) (patch #s(approx (/ (+ x 16) 116) #s(literal 4/29 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ x 16) 116) (.f64 x #s(literal 1/116 binary64))) (patch #s(approx (/ (+ x 16) 116) (.f64 x #s(literal 1/116 binary64))) #<representation binary64>) () ())
#s(alt (.f64 x #s(literal 1/116 binary64)) (patch (.f64 x #s(literal 1/116 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (-.f64 x #s(literal -16 binary64)) #s(literal 1/116 binary64)) (patch (.f64 (-.f64 x #s(literal -16 binary64)) #s(literal 1/116 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 x #s(literal -16 binary64)) (patch (-.f64 x #s(literal -16 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 x x #s(literal -256 binary64)) (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64))) (patch (/.f64 (fma.f64 x x #s(literal -256 binary64)) (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 x x #s(literal -256 binary64)) (patch (fma.f64 x x #s(literal -256 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64)) (patch (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64)) #<representation binary64>) () ())

Outputs
#s(alt 4/29 (taylor 0 x) (#s(alt (fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64)) (patch (fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 4/29 (* 1/116 x)) (taylor 0 x) (#s(alt (fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64)) (patch (fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 4/29 (* 1/116 x)) (taylor 0 x) (#s(alt (fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64)) (patch (fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 4/29 (* 1/116 x)) (taylor 0 x) (#s(alt (fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64)) (patch (fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64)) #<representation binary64>) () ())) ())
#s(alt 4/29 (taylor 0 x) (#s(alt #s(approx (/ (+ x 16) 116) #s(literal 4/29 binary64)) (patch #s(approx (/ (+ x 16) 116) #s(literal 4/29 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 4/29 (* 1/116 x)) (taylor 0 x) (#s(alt #s(approx (/ (+ x 16) 116) #s(literal 4/29 binary64)) (patch #s(approx (/ (+ x 16) 116) #s(literal 4/29 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 4/29 (* 1/116 x)) (taylor 0 x) (#s(alt #s(approx (/ (+ x 16) 116) #s(literal 4/29 binary64)) (patch #s(approx (/ (+ x 16) 116) #s(literal 4/29 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 4/29 (* 1/116 x)) (taylor 0 x) (#s(alt #s(approx (/ (+ x 16) 116) #s(literal 4/29 binary64)) (patch #s(approx (/ (+ x 16) 116) #s(literal 4/29 binary64)) #<representation binary64>) () ())) ())
#s(alt 4/29 (taylor 0 x) (#s(alt #s(approx (/ (+ x 16) 116) (.f64 x #s(literal 1/116 binary64))) (patch #s(approx (/ (+ x 16) 116) (.f64 x #s(literal 1/116 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 4/29 (* 1/116 x)) (taylor 0 x) (#s(alt #s(approx (/ (+ x 16) 116) (.f64 x #s(literal 1/116 binary64))) (patch #s(approx (/ (+ x 16) 116) (.f64 x #s(literal 1/116 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 4/29 (* 1/116 x)) (taylor 0 x) (#s(alt #s(approx (/ (+ x 16) 116) (.f64 x #s(literal 1/116 binary64))) (patch #s(approx (/ (+ x 16) 116) (.f64 x #s(literal 1/116 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 4/29 (* 1/116 x)) (taylor 0 x) (#s(alt #s(approx (/ (+ x 16) 116) (.f64 x #s(literal 1/116 binary64))) (patch #s(approx (/ (+ x 16) 116) (.f64 x #s(literal 1/116 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/116 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 1/116 binary64)) (patch (.f64 x #s(literal 1/116 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/116 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 1/116 binary64)) (patch (.f64 x #s(literal 1/116 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/116 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 1/116 binary64)) (patch (.f64 x #s(literal 1/116 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/116 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 1/116 binary64)) (patch (.f64 x #s(literal 1/116 binary64)) #<representation binary64>) () ())) ())
#s(alt 4/29 (taylor 0 x) (#s(alt (.f64 (-.f64 x #s(literal -16 binary64)) #s(literal 1/116 binary64)) (patch (.f64 (-.f64 x #s(literal -16 binary64)) #s(literal 1/116 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 4/29 (* 1/116 x)) (taylor 0 x) (#s(alt (.f64 (-.f64 x #s(literal -16 binary64)) #s(literal 1/116 binary64)) (patch (.f64 (-.f64 x #s(literal -16 binary64)) #s(literal 1/116 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 4/29 (* 1/116 x)) (taylor 0 x) (#s(alt (.f64 (-.f64 x #s(literal -16 binary64)) #s(literal 1/116 binary64)) (patch (.f64 (-.f64 x #s(literal -16 binary64)) #s(literal 1/116 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 4/29 (* 1/116 x)) (taylor 0 x) (#s(alt (.f64 (-.f64 x #s(literal -16 binary64)) #s(literal 1/116 binary64)) (patch (.f64 (-.f64 x #s(literal -16 binary64)) #s(literal 1/116 binary64)) #<representation binary64>) () ())) ())
#s(alt 16 (taylor 0 x) (#s(alt (-.f64 x #s(literal -16 binary64)) (patch (-.f64 x #s(literal -16 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 16 x) (taylor 0 x) (#s(alt (-.f64 x #s(literal -16 binary64)) (patch (-.f64 x #s(literal -16 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 16 x) (taylor 0 x) (#s(alt (-.f64 x #s(literal -16 binary64)) (patch (-.f64 x #s(literal -16 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 16 x) (taylor 0 x) (#s(alt (-.f64 x #s(literal -16 binary64)) (patch (-.f64 x #s(literal -16 binary64)) #<representation binary64>) () ())) ())
#s(alt 4/29 (taylor 0 x) (#s(alt (/.f64 (fma.f64 x x #s(literal -256 binary64)) (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64))) (patch (/.f64 (fma.f64 x x #s(literal -256 binary64)) (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 4/29 (* 1/116 x)) (taylor 0 x) (#s(alt (/.f64 (fma.f64 x x #s(literal -256 binary64)) (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64))) (patch (/.f64 (fma.f64 x x #s(literal -256 binary64)) (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 4/29 (* 1/116 x)) (taylor 0 x) (#s(alt (/.f64 (fma.f64 x x #s(literal -256 binary64)) (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64))) (patch (/.f64 (fma.f64 x x #s(literal -256 binary64)) (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 4/29 (* 1/116 x)) (taylor 0 x) (#s(alt (/.f64 (fma.f64 x x #s(literal -256 binary64)) (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64))) (patch (/.f64 (fma.f64 x x #s(literal -256 binary64)) (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64))) #<representation binary64>) () ())) ())
#s(alt -256 (taylor 0 x) (#s(alt (fma.f64 x x #s(literal -256 binary64)) (patch (fma.f64 x x #s(literal -256 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (pow x 2) 256) (taylor 0 x) (#s(alt (fma.f64 x x #s(literal -256 binary64)) (patch (fma.f64 x x #s(literal -256 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (pow x 2) 256) (taylor 0 x) (#s(alt (fma.f64 x x #s(literal -256 binary64)) (patch (fma.f64 x x #s(literal -256 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (pow x 2) 256) (taylor 0 x) (#s(alt (fma.f64 x x #s(literal -256 binary64)) (patch (fma.f64 x x #s(literal -256 binary64)) #<representation binary64>) () ())) ())
#s(alt -1856 (taylor 0 x) (#s(alt (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64)) (patch (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 116 x) 1856) (taylor 0 x) (#s(alt (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64)) (patch (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 116 x) 1856) (taylor 0 x) (#s(alt (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64)) (patch (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 116 x) 1856) (taylor 0 x) (#s(alt (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64)) (patch (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/116 x) (taylor inf x) (#s(alt (fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64)) (patch (fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/116 (* 4/29 (/ 1 x)))) (taylor inf x) (#s(alt (fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64)) (patch (fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/116 (* 4/29 (/ 1 x)))) (taylor inf x) (#s(alt (fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64)) (patch (fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/116 (* 4/29 (/ 1 x)))) (taylor inf x) (#s(alt (fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64)) (patch (fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/116 x) (taylor inf x) (#s(alt #s(approx (/ (+ x 16) 116) #s(literal 4/29 binary64)) (patch #s(approx (/ (+ x 16) 116) #s(literal 4/29 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/116 (* 4/29 (/ 1 x)))) (taylor inf x) (#s(alt #s(approx (/ (+ x 16) 116) #s(literal 4/29 binary64)) (patch #s(approx (/ (+ x 16) 116) #s(literal 4/29 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/116 (* 4/29 (/ 1 x)))) (taylor inf x) (#s(alt #s(approx (/ (+ x 16) 116) #s(literal 4/29 binary64)) (patch #s(approx (/ (+ x 16) 116) #s(literal 4/29 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/116 (* 4/29 (/ 1 x)))) (taylor inf x) (#s(alt #s(approx (/ (+ x 16) 116) #s(literal 4/29 binary64)) (patch #s(approx (/ (+ x 16) 116) #s(literal 4/29 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/116 x) (taylor inf x) (#s(alt #s(approx (/ (+ x 16) 116) (.f64 x #s(literal 1/116 binary64))) (patch #s(approx (/ (+ x 16) 116) (.f64 x #s(literal 1/116 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/116 (* 4/29 (/ 1 x)))) (taylor inf x) (#s(alt #s(approx (/ (+ x 16) 116) (.f64 x #s(literal 1/116 binary64))) (patch #s(approx (/ (+ x 16) 116) (.f64 x #s(literal 1/116 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/116 (* 4/29 (/ 1 x)))) (taylor inf x) (#s(alt #s(approx (/ (+ x 16) 116) (.f64 x #s(literal 1/116 binary64))) (patch #s(approx (/ (+ x 16) 116) (.f64 x #s(literal 1/116 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/116 (* 4/29 (/ 1 x)))) (taylor inf x) (#s(alt #s(approx (/ (+ x 16) 116) (.f64 x #s(literal 1/116 binary64))) (patch #s(approx (/ (+ x 16) 116) (.f64 x #s(literal 1/116 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/116 x) (taylor inf x) (#s(alt (.f64 x #s(literal 1/116 binary64)) (patch (.f64 x #s(literal 1/116 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/116 x) (taylor inf x) (#s(alt (.f64 x #s(literal 1/116 binary64)) (patch (.f64 x #s(literal 1/116 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/116 x) (taylor inf x) (#s(alt (.f64 x #s(literal 1/116 binary64)) (patch (.f64 x #s(literal 1/116 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/116 x) (taylor inf x) (#s(alt (.f64 x #s(literal 1/116 binary64)) (patch (.f64 x #s(literal 1/116 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/116 x) (taylor inf x) (#s(alt (.f64 (-.f64 x #s(literal -16 binary64)) #s(literal 1/116 binary64)) (patch (.f64 (-.f64 x #s(literal -16 binary64)) #s(literal 1/116 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/116 (* 4/29 (/ 1 x)))) (taylor inf x) (#s(alt (.f64 (-.f64 x #s(literal -16 binary64)) #s(literal 1/116 binary64)) (patch (.f64 (-.f64 x #s(literal -16 binary64)) #s(literal 1/116 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/116 (* 4/29 (/ 1 x)))) (taylor inf x) (#s(alt (.f64 (-.f64 x #s(literal -16 binary64)) #s(literal 1/116 binary64)) (patch (.f64 (-.f64 x #s(literal -16 binary64)) #s(literal 1/116 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/116 (* 4/29 (/ 1 x)))) (taylor inf x) (#s(alt (.f64 (-.f64 x #s(literal -16 binary64)) #s(literal 1/116 binary64)) (patch (.f64 (-.f64 x #s(literal -16 binary64)) #s(literal 1/116 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (-.f64 x #s(literal -16 binary64)) (patch (-.f64 x #s(literal -16 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 16 (/ 1 x)))) (taylor inf x) (#s(alt (-.f64 x #s(literal -16 binary64)) (patch (-.f64 x #s(literal -16 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 16 (/ 1 x)))) (taylor inf x) (#s(alt (-.f64 x #s(literal -16 binary64)) (patch (-.f64 x #s(literal -16 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 16 (/ 1 x)))) (taylor inf x) (#s(alt (-.f64 x #s(literal -16 binary64)) (patch (-.f64 x #s(literal -16 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/116 x) (taylor inf x) (#s(alt (/.f64 (fma.f64 x x #s(literal -256 binary64)) (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64))) (patch (/.f64 (fma.f64 x x #s(literal -256 binary64)) (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/116 (* 4/29 (/ 1 x)))) (taylor inf x) (#s(alt (/.f64 (fma.f64 x x #s(literal -256 binary64)) (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64))) (patch (/.f64 (fma.f64 x x #s(literal -256 binary64)) (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/116 (* 4/29 (/ 1 x)))) (taylor inf x) (#s(alt (/.f64 (fma.f64 x x #s(literal -256 binary64)) (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64))) (patch (/.f64 (fma.f64 x x #s(literal -256 binary64)) (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/116 (* 4/29 (/ 1 x)))) (taylor inf x) (#s(alt (/.f64 (fma.f64 x x #s(literal -256 binary64)) (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64))) (patch (/.f64 (fma.f64 x x #s(literal -256 binary64)) (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (fma.f64 x x #s(literal -256 binary64)) (patch (fma.f64 x x #s(literal -256 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (* 256 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 x x #s(literal -256 binary64)) (patch (fma.f64 x x #s(literal -256 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (* 256 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 x x #s(literal -256 binary64)) (patch (fma.f64 x x #s(literal -256 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (* 256 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 x x #s(literal -256 binary64)) (patch (fma.f64 x x #s(literal -256 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 116 x) (taylor inf x) (#s(alt (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64)) (patch (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- 116 (* 1856 (/ 1 x)))) (taylor inf x) (#s(alt (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64)) (patch (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- 116 (* 1856 (/ 1 x)))) (taylor inf x) (#s(alt (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64)) (patch (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- 116 (* 1856 (/ 1 x)))) (taylor inf x) (#s(alt (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64)) (patch (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/116 x) (taylor -inf x) (#s(alt (fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64)) (patch (fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/116 (* 4/29 (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64)) (patch (fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/116 (* 4/29 (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64)) (patch (fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/116 (* 4/29 (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64)) (patch (fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/116 x) (taylor -inf x) (#s(alt #s(approx (/ (+ x 16) 116) #s(literal 4/29 binary64)) (patch #s(approx (/ (+ x 16) 116) #s(literal 4/29 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/116 (* 4/29 (/ 1 x)))) (taylor -inf x) (#s(alt #s(approx (/ (+ x 16) 116) #s(literal 4/29 binary64)) (patch #s(approx (/ (+ x 16) 116) #s(literal 4/29 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/116 (* 4/29 (/ 1 x)))) (taylor -inf x) (#s(alt #s(approx (/ (+ x 16) 116) #s(literal 4/29 binary64)) (patch #s(approx (/ (+ x 16) 116) #s(literal 4/29 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/116 (* 4/29 (/ 1 x)))) (taylor -inf x) (#s(alt #s(approx (/ (+ x 16) 116) #s(literal 4/29 binary64)) (patch #s(approx (/ (+ x 16) 116) #s(literal 4/29 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/116 x) (taylor -inf x) (#s(alt #s(approx (/ (+ x 16) 116) (.f64 x #s(literal 1/116 binary64))) (patch #s(approx (/ (+ x 16) 116) (.f64 x #s(literal 1/116 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/116 (* 4/29 (/ 1 x)))) (taylor -inf x) (#s(alt #s(approx (/ (+ x 16) 116) (.f64 x #s(literal 1/116 binary64))) (patch #s(approx (/ (+ x 16) 116) (.f64 x #s(literal 1/116 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/116 (* 4/29 (/ 1 x)))) (taylor -inf x) (#s(alt #s(approx (/ (+ x 16) 116) (.f64 x #s(literal 1/116 binary64))) (patch #s(approx (/ (+ x 16) 116) (.f64 x #s(literal 1/116 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/116 (* 4/29 (/ 1 x)))) (taylor -inf x) (#s(alt #s(approx (/ (+ x 16) 116) (.f64 x #s(literal 1/116 binary64))) (patch #s(approx (/ (+ x 16) 116) (.f64 x #s(literal 1/116 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/116 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 1/116 binary64)) (patch (.f64 x #s(literal 1/116 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/116 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 1/116 binary64)) (patch (.f64 x #s(literal 1/116 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/116 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 1/116 binary64)) (patch (.f64 x #s(literal 1/116 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/116 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 1/116 binary64)) (patch (.f64 x #s(literal 1/116 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/116 x) (taylor -inf x) (#s(alt (.f64 (-.f64 x #s(literal -16 binary64)) #s(literal 1/116 binary64)) (patch (.f64 (-.f64 x #s(literal -16 binary64)) #s(literal 1/116 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/116 (* 4/29 (/ 1 x)))) (taylor -inf x) (#s(alt (.f64 (-.f64 x #s(literal -16 binary64)) #s(literal 1/116 binary64)) (patch (.f64 (-.f64 x #s(literal -16 binary64)) #s(literal 1/116 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/116 (* 4/29 (/ 1 x)))) (taylor -inf x) (#s(alt (.f64 (-.f64 x #s(literal -16 binary64)) #s(literal 1/116 binary64)) (patch (.f64 (-.f64 x #s(literal -16 binary64)) #s(literal 1/116 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/116 (* 4/29 (/ 1 x)))) (taylor -inf x) (#s(alt (.f64 (-.f64 x #s(literal -16 binary64)) #s(literal 1/116 binary64)) (patch (.f64 (-.f64 x #s(literal -16 binary64)) #s(literal 1/116 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (-.f64 x #s(literal -16 binary64)) (patch (-.f64 x #s(literal -16 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 16 (/ 1 x)))) (taylor -inf x) (#s(alt (-.f64 x #s(literal -16 binary64)) (patch (-.f64 x #s(literal -16 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 16 (/ 1 x)))) (taylor -inf x) (#s(alt (-.f64 x #s(literal -16 binary64)) (patch (-.f64 x #s(literal -16 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 16 (/ 1 x)))) (taylor -inf x) (#s(alt (-.f64 x #s(literal -16 binary64)) (patch (-.f64 x #s(literal -16 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/116 x) (taylor -inf x) (#s(alt (/.f64 (fma.f64 x x #s(literal -256 binary64)) (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64))) (patch (/.f64 (fma.f64 x x #s(literal -256 binary64)) (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/116 (* 4/29 (/ 1 x)))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 x x #s(literal -256 binary64)) (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64))) (patch (/.f64 (fma.f64 x x #s(literal -256 binary64)) (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/116 (* 4/29 (/ 1 x)))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 x x #s(literal -256 binary64)) (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64))) (patch (/.f64 (fma.f64 x x #s(literal -256 binary64)) (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/116 (* 4/29 (/ 1 x)))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 x x #s(literal -256 binary64)) (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64))) (patch (/.f64 (fma.f64 x x #s(literal -256 binary64)) (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (fma.f64 x x #s(literal -256 binary64)) (patch (fma.f64 x x #s(literal -256 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (* 256 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 x x #s(literal -256 binary64)) (patch (fma.f64 x x #s(literal -256 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (* 256 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 x x #s(literal -256 binary64)) (patch (fma.f64 x x #s(literal -256 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (* 256 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 x x #s(literal -256 binary64)) (patch (fma.f64 x x #s(literal -256 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 116 x) (taylor -inf x) (#s(alt (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64)) (patch (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1856 (/ 1 x)) 116))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64)) (patch (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1856 (/ 1 x)) 116))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64)) (patch (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1856 (/ 1 x)) 116))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64)) (patch (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64)) #<representation binary64>) () ())) ())

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	((+ (* x 1/116) 4/29) (/ (+ x 16) 116) (/ (+ x 16) 116) (* x 1/116) (* (- x -16) 1/116) (- x -16) (/ (+ (* x x) -256) (+ (* 116 x) -1856)) (+ (* x x) -256) (+ (* 116 x) -1856))
1.0ms	x	@	inf	((+ (* x 1/116) 4/29) (/ (+ x 16) 116) (/ (+ x 16) 116) (* x 1/116) (* (- x -16) 1/116) (- x -16) (/ (+ (* x x) -256) (+ (* 116 x) -1856)) (+ (* x x) -256) (+ (* 116 x) -1856))
1.0ms	x	@	0	((+ (* x 1/116) 4/29) (/ (+ x 16) 116) (/ (+ x 16) 116) (* x 1/116) (* (- x -16) 1/116) (- x -16) (/ (+ (* x x) -256) (+ (* 116 x) -1856)) (+ (* x x) -256) (+ (* 116 x) -1856))

Time

Variable

Point

Expression

2.0ms

-inf

((+ (* x 1/116) 4/29) (/ (+ x 16) 116) (/ (+ x 16) 116) (* x 1/116) (* (- x -16) 1/116) (- x -16) (/ (+ (* x x) -256) (+ (* 116 x) -1856)) (+ (* x x) -256) (+ (* 116 x) -1856))

1.0ms

inf

((+ (* x 1/116) 4/29) (/ (+ x 16) 116) (/ (+ x 16) 116) (* x 1/116) (* (- x -16) 1/116) (- x -16) (/ (+ (* x x) -256) (+ (* 116 x) -1856)) (+ (* x x) -256) (+ (* 116 x) -1856))

1.0ms

((+ (* x 1/116) 4/29) (/ (+ x 16) 116) (/ (+ x 16) 116) (* x 1/116) (* (- x -16) 1/116) (- x -16) (/ (+ (* x x) -256) (+ (* 116 x) -1856)) (+ (* x x) -256) (+ (* 116 x) -1856))

simplify115.0ms (3.9%)

Memory

14.5MiB live, 51.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	430
1	92	430
2	195	430
3	486	430
4	820	430
5	1147	430
6	2167	430
7	4020	430
8	5138	430
9	6494	430
10	7961	430
0	8394	367

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 106

Calls

Call 1

Inputs
4/29
(+ 4/29 (* 1/116 x))
(+ 4/29 (* 1/116 x))
(+ 4/29 (* 1/116 x))
4/29
(+ 4/29 (* 1/116 x))
(+ 4/29 (* 1/116 x))
(+ 4/29 (* 1/116 x))
4/29
(+ 4/29 (* 1/116 x))
(+ 4/29 (* 1/116 x))
(+ 4/29 (* 1/116 x))
(* 1/116 x)
(* 1/116 x)
(* 1/116 x)
(* 1/116 x)
4/29
(+ 4/29 (* 1/116 x))
(+ 4/29 (* 1/116 x))
(+ 4/29 (* 1/116 x))
16
(+ 16 x)
(+ 16 x)
(+ 16 x)
4/29
(+ 4/29 (* 1/116 x))
(+ 4/29 (* 1/116 x))
(+ 4/29 (* 1/116 x))
-256
(- (pow x 2) 256)
(- (pow x 2) 256)
(- (pow x 2) 256)
-1856
(- (* 116 x) 1856)
(- (* 116 x) 1856)
(- (* 116 x) 1856)
(* 1/116 x)
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(* 1/116 x)
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(* 1/116 x)
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(* 1/116 x)
(* 1/116 x)
(* 1/116 x)
(* 1/116 x)
(* 1/116 x)
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
x
(* x (+ 1 (* 16 (/ 1 x))))
(* x (+ 1 (* 16 (/ 1 x))))
(* x (+ 1 (* 16 (/ 1 x))))
(* 1/116 x)
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(pow x 2)
(* (pow x 2) (- 1 (* 256 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 256 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 256 (/ 1 (pow x 2)))))
(* 116 x)
(* x (- 116 (* 1856 (/ 1 x))))
(* x (- 116 (* 1856 (/ 1 x))))
(* x (- 116 (* 1856 (/ 1 x))))
(* 1/116 x)
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(* 1/116 x)
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(* 1/116 x)
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(* 1/116 x)
(* 1/116 x)
(* 1/116 x)
(* 1/116 x)
(* 1/116 x)
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
x
(* x (+ 1 (* 16 (/ 1 x))))
(* x (+ 1 (* 16 (/ 1 x))))
(* x (+ 1 (* 16 (/ 1 x))))
(* 1/116 x)
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(pow x 2)
(* (pow x 2) (- 1 (* 256 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 256 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 256 (/ 1 (pow x 2)))))
(* 116 x)
(* -1 (* x (- (* 1856 (/ 1 x)) 116)))
(* -1 (* x (- (* 1856 (/ 1 x)) 116)))
(* -1 (* x (- (* 1856 (/ 1 x)) 116)))

Outputs
4/29
#s(literal 4/29 binary64)
(+ 4/29 (* 1/116 x))
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
(+ 4/29 (* 1/116 x))
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
(+ 4/29 (* 1/116 x))
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
4/29
#s(literal 4/29 binary64)
(+ 4/29 (* 1/116 x))
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
(+ 4/29 (* 1/116 x))
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
(+ 4/29 (* 1/116 x))
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
4/29
#s(literal 4/29 binary64)
(+ 4/29 (* 1/116 x))
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
(+ 4/29 (* 1/116 x))
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
(+ 4/29 (* 1/116 x))
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
(* 1/116 x)
(*.f64 x #s(literal 1/116 binary64))
(* 1/116 x)
(*.f64 x #s(literal 1/116 binary64))
(* 1/116 x)
(*.f64 x #s(literal 1/116 binary64))
(* 1/116 x)
(*.f64 x #s(literal 1/116 binary64))
4/29
#s(literal 4/29 binary64)
(+ 4/29 (* 1/116 x))
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
(+ 4/29 (* 1/116 x))
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
(+ 4/29 (* 1/116 x))
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
16
#s(literal 16 binary64)
(+ 16 x)
(-.f64 x #s(literal -16 binary64))
(+ 16 x)
(-.f64 x #s(literal -16 binary64))
(+ 16 x)
(-.f64 x #s(literal -16 binary64))
4/29
#s(literal 4/29 binary64)
(+ 4/29 (* 1/116 x))
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
(+ 4/29 (* 1/116 x))
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
(+ 4/29 (* 1/116 x))
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
-256
#s(literal -256 binary64)
(- (pow x 2) 256)
(fma.f64 x x #s(literal -256 binary64))
(- (pow x 2) 256)
(fma.f64 x x #s(literal -256 binary64))
(- (pow x 2) 256)
(fma.f64 x x #s(literal -256 binary64))
-1856
#s(literal -1856 binary64)
(- (* 116 x) 1856)
(fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64))
(- (* 116 x) 1856)
(fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64))
(- (* 116 x) 1856)
(fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64))
(* 1/116 x)
(*.f64 x #s(literal 1/116 binary64))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
(* 1/116 x)
(*.f64 x #s(literal 1/116 binary64))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
(* 1/116 x)
(*.f64 x #s(literal 1/116 binary64))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
(* 1/116 x)
(*.f64 x #s(literal 1/116 binary64))
(* 1/116 x)
(*.f64 x #s(literal 1/116 binary64))
(* 1/116 x)
(*.f64 x #s(literal 1/116 binary64))
(* 1/116 x)
(*.f64 x #s(literal 1/116 binary64))
(* 1/116 x)
(*.f64 x #s(literal 1/116 binary64))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
x
(* x (+ 1 (* 16 (/ 1 x))))
(-.f64 x #s(literal -16 binary64))
(* x (+ 1 (* 16 (/ 1 x))))
(-.f64 x #s(literal -16 binary64))
(* x (+ 1 (* 16 (/ 1 x))))
(-.f64 x #s(literal -16 binary64))
(* 1/116 x)
(*.f64 x #s(literal 1/116 binary64))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (* 256 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -256 binary64))
(* (pow x 2) (- 1 (* 256 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -256 binary64))
(* (pow x 2) (- 1 (* 256 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -256 binary64))
(* 116 x)
(*.f64 #s(literal 116 binary64) x)
(* x (- 116 (* 1856 (/ 1 x))))
(fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64))
(* x (- 116 (* 1856 (/ 1 x))))
(fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64))
(* x (- 116 (* 1856 (/ 1 x))))
(fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64))
(* 1/116 x)
(*.f64 x #s(literal 1/116 binary64))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
(* 1/116 x)
(*.f64 x #s(literal 1/116 binary64))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
(* 1/116 x)
(*.f64 x #s(literal 1/116 binary64))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
(* 1/116 x)
(*.f64 x #s(literal 1/116 binary64))
(* 1/116 x)
(*.f64 x #s(literal 1/116 binary64))
(* 1/116 x)
(*.f64 x #s(literal 1/116 binary64))
(* 1/116 x)
(*.f64 x #s(literal 1/116 binary64))
(* 1/116 x)
(*.f64 x #s(literal 1/116 binary64))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
x
(* x (+ 1 (* 16 (/ 1 x))))
(-.f64 x #s(literal -16 binary64))
(* x (+ 1 (* 16 (/ 1 x))))
(-.f64 x #s(literal -16 binary64))
(* x (+ 1 (* 16 (/ 1 x))))
(-.f64 x #s(literal -16 binary64))
(* 1/116 x)
(*.f64 x #s(literal 1/116 binary64))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (* 256 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -256 binary64))
(* (pow x 2) (- 1 (* 256 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -256 binary64))
(* (pow x 2) (- 1 (* 256 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -256 binary64))
(* 116 x)
(*.f64 #s(literal 116 binary64) x)
(* -1 (* x (- (* 1856 (/ 1 x)) 116)))
(fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64))
(* -1 (* x (- (* 1856 (/ 1 x)) 116)))
(fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64))
(* -1 (* x (- (* 1856 (/ 1 x)) 116)))
(fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64))

rewrite386.0ms (13.1%)

Memory

5.2MiB live, 124.0MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	48
0	28	42
1	121	40
2	768	40
3	7474	40
0	8208	40

Stop Event

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

Counts

9 → 1 098

Calls

Call 1

Inputs
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
#s(approx (/ (+ x 16) 116) #s(literal 4/29 binary64))
#s(approx (/ (+ x 16) 116) (*.f64 x #s(literal 1/116 binary64)))
(*.f64 x #s(literal 1/116 binary64))
(*.f64 (-.f64 x #s(literal -16 binary64)) #s(literal 1/116 binary64))
(-.f64 x #s(literal -16 binary64))
(/.f64 (fma.f64 x x #s(literal -256 binary64)) (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64)))
(fma.f64 x x #s(literal -256 binary64))
(fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64))

Outputs
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eval243.0ms (8.3%)

Memory: -27.5MiB live, 215.7MiB allocated
Compiler: Compiled 21 440 to 1 527 computations (92.9% saved)

prune54.0ms (1.8%)

Memory

-0.8MiB live, 78.0MiB allocated

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	1 203	1	1 204
Fresh	0	0	0
Picked	0	5	5
Done	1	0	1
Total	1 204	6	1 210

Accuracy

100.0%

Counts

1 210 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
✓	74.0%	(/.f64 (fma.f64 x x #s(literal -256 binary64)) (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64)))
✓	99.9%	(*.f64 (-.f64 x #s(literal -16 binary64)) #s(literal 1/116 binary64))
▶	48.9%	#s(approx (/ (+ x 16) 116) (/.f64 x #s(literal 116 binary64)))
✓	48.8%	#s(approx (/ (+ x 16) 116) (*.f64 x #s(literal 1/116 binary64)))
✓	52.9%	#s(approx (/ (+ x 16) 116) #s(literal 4/29 binary64))

Compiler

Compiled 28 to 27 computations (3.6% saved)

simplify4.0ms (0.1%)

Memory

5.9MiB live, 5.9MiB 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	0	#s(approx (/ (+ x 16) 116) (/.f64 x #s(literal 116 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	14
0	8	14
1	9	14
0	9	14

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (/ (+ x 16) 116) (/.f64 x #s(literal 116 binary64)))
(/.f64 x #s(literal 116 binary64))
x
#s(literal 116 binary64)

Outputs
#s(approx (/ (+ x 16) 116) (/.f64 x #s(literal 116 binary64)))
(/.f64 x #s(literal 116 binary64))
x
#s(literal 116 binary64)

localize19.0ms (0.6%)

Memory

-7.9MiB live, 31.2MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0	(/.f64 x #s(literal 116 binary64))
accuracy	32.71435243696701	#s(approx (/ (+ x 16) 116) (/.f64 x #s(literal 116 binary64)))

Samples

14.0ms

256×

valid

Compiler

Compiled 21 to 12 computations (42.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-add: 5.0ms (55% of total)

ival-div: 3.0ms (33% of total)

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

exact: 0.0ms (0% of total)

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

series2.0ms (0.1%)

Memory

3.4MiB live, 3.4MiB allocated

Counts

2 → 24

Calls

Call 1

Inputs

#s(alt #s(approx (/ (+ x 16) 116) (/.f64 x #s(literal 116 binary64))) (patch #s(approx (/ (+ x 16) 116) (/.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>) () ())

Outputs
#s(alt 4/29 (taylor 0 x) (#s(alt #s(approx (/ (+ x 16) 116) (/.f64 x #s(literal 116 binary64))) (patch #s(approx (/ (+ x 16) 116) (/.f64 x #s(literal 116 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 4/29 (* 1/116 x)) (taylor 0 x) (#s(alt #s(approx (/ (+ x 16) 116) (/.f64 x #s(literal 116 binary64))) (patch #s(approx (/ (+ x 16) 116) (/.f64 x #s(literal 116 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 4/29 (* 1/116 x)) (taylor 0 x) (#s(alt #s(approx (/ (+ x 16) 116) (/.f64 x #s(literal 116 binary64))) (patch #s(approx (/ (+ x 16) 116) (/.f64 x #s(literal 116 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 4/29 (* 1/116 x)) (taylor 0 x) (#s(alt #s(approx (/ (+ x 16) 116) (/.f64 x #s(literal 116 binary64))) (patch #s(approx (/ (+ x 16) 116) (/.f64 x #s(literal 116 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/116 x) (taylor 0 x) (#s(alt (/.f64 x #s(literal 116 binary64)) (patch (/.f64 x #s(literal 116 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/116 x) (taylor 0 x) (#s(alt (/.f64 x #s(literal 116 binary64)) (patch (/.f64 x #s(literal 116 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/116 x) (taylor 0 x) (#s(alt (/.f64 x #s(literal 116 binary64)) (patch (/.f64 x #s(literal 116 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/116 x) (taylor 0 x) (#s(alt (/.f64 x #s(literal 116 binary64)) (patch (/.f64 x #s(literal 116 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/116 x) (taylor inf x) (#s(alt #s(approx (/ (+ x 16) 116) (/.f64 x #s(literal 116 binary64))) (patch #s(approx (/ (+ x 16) 116) (/.f64 x #s(literal 116 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/116 (* 4/29 (/ 1 x)))) (taylor inf x) (#s(alt #s(approx (/ (+ x 16) 116) (/.f64 x #s(literal 116 binary64))) (patch #s(approx (/ (+ x 16) 116) (/.f64 x #s(literal 116 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/116 (* 4/29 (/ 1 x)))) (taylor inf x) (#s(alt #s(approx (/ (+ x 16) 116) (/.f64 x #s(literal 116 binary64))) (patch #s(approx (/ (+ x 16) 116) (/.f64 x #s(literal 116 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/116 (* 4/29 (/ 1 x)))) (taylor inf x) (#s(alt #s(approx (/ (+ x 16) 116) (/.f64 x #s(literal 116 binary64))) (patch #s(approx (/ (+ x 16) 116) (/.f64 x #s(literal 116 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/116 x) (taylor inf x) (#s(alt (/.f64 x #s(literal 116 binary64)) (patch (/.f64 x #s(literal 116 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/116 x) (taylor inf x) (#s(alt (/.f64 x #s(literal 116 binary64)) (patch (/.f64 x #s(literal 116 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/116 x) (taylor inf x) (#s(alt (/.f64 x #s(literal 116 binary64)) (patch (/.f64 x #s(literal 116 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/116 x) (taylor inf x) (#s(alt (/.f64 x #s(literal 116 binary64)) (patch (/.f64 x #s(literal 116 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/116 x) (taylor -inf x) (#s(alt #s(approx (/ (+ x 16) 116) (/.f64 x #s(literal 116 binary64))) (patch #s(approx (/ (+ x 16) 116) (/.f64 x #s(literal 116 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/116 (* 4/29 (/ 1 x)))) (taylor -inf x) (#s(alt #s(approx (/ (+ x 16) 116) (/.f64 x #s(literal 116 binary64))) (patch #s(approx (/ (+ x 16) 116) (/.f64 x #s(literal 116 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/116 (* 4/29 (/ 1 x)))) (taylor -inf x) (#s(alt #s(approx (/ (+ x 16) 116) (/.f64 x #s(literal 116 binary64))) (patch #s(approx (/ (+ x 16) 116) (/.f64 x #s(literal 116 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/116 (* 4/29 (/ 1 x)))) (taylor -inf x) (#s(alt #s(approx (/ (+ x 16) 116) (/.f64 x #s(literal 116 binary64))) (patch #s(approx (/ (+ x 16) 116) (/.f64 x #s(literal 116 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/116 x) (taylor -inf x) (#s(alt (/.f64 x #s(literal 116 binary64)) (patch (/.f64 x #s(literal 116 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/116 x) (taylor -inf x) (#s(alt (/.f64 x #s(literal 116 binary64)) (patch (/.f64 x #s(literal 116 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/116 x) (taylor -inf x) (#s(alt (/.f64 x #s(literal 116 binary64)) (patch (/.f64 x #s(literal 116 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/116 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
0.0ms	x	@	inf	((/ (+ x 16) 116) (/ x 116))
0.0ms	x	@	-inf	((/ (+ x 16) 116) (/ x 116))
0.0ms	x	@	0	((/ (+ x 16) 116) (/ x 116))

simplify4.0ms (0.1%)

Memory

6.8MiB live, 6.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	88
1	24	88
2	37	88
3	49	88
4	49	88
5	64	88
6	70	88
7	74	88
8	74	88
0	74	79

Stop Event

1×	iter limit
1×	saturated

Counts

24 → 24

Calls

Call 1

Inputs
4/29
(+ 4/29 (* 1/116 x))
(+ 4/29 (* 1/116 x))
(+ 4/29 (* 1/116 x))
(* 1/116 x)
(* 1/116 x)
(* 1/116 x)
(* 1/116 x)
(* 1/116 x)
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(* 1/116 x)
(* 1/116 x)
(* 1/116 x)
(* 1/116 x)
(* 1/116 x)
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(* 1/116 x)
(* 1/116 x)
(* 1/116 x)
(* 1/116 x)

Outputs
4/29
#s(literal 4/29 binary64)
(+ 4/29 (* 1/116 x))
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
(+ 4/29 (* 1/116 x))
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
(+ 4/29 (* 1/116 x))
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
(* 1/116 x)
(*.f64 x #s(literal 1/116 binary64))
(* 1/116 x)
(*.f64 x #s(literal 1/116 binary64))
(* 1/116 x)
(*.f64 x #s(literal 1/116 binary64))
(* 1/116 x)
(*.f64 x #s(literal 1/116 binary64))
(* 1/116 x)
(*.f64 x #s(literal 1/116 binary64))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
(* 1/116 x)
(*.f64 x #s(literal 1/116 binary64))
(* 1/116 x)
(*.f64 x #s(literal 1/116 binary64))
(* 1/116 x)
(*.f64 x #s(literal 1/116 binary64))
(* 1/116 x)
(*.f64 x #s(literal 1/116 binary64))
(* 1/116 x)
(*.f64 x #s(literal 1/116 binary64))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
(* 1/116 x)
(*.f64 x #s(literal 1/116 binary64))
(* 1/116 x)
(*.f64 x #s(literal 1/116 binary64))
(* 1/116 x)
(*.f64 x #s(literal 1/116 binary64))
(* 1/116 x)
(*.f64 x #s(literal 1/116 binary64))

rewrite140.0ms (4.7%)

Memory

15.4MiB live, 134.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	12
0	8	12
1	39	12
2	200	12
3	1549	12
0	8228	11

Stop Event

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

Counts

2 → 33

Calls

Call 1

Inputs
#s(approx (/ (+ x 16) 116) (/.f64 x #s(literal 116 binary64)))
(/.f64 x #s(literal 116 binary64))

Outputs
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eval14.0ms (0.5%)

Memory: -28.1MiB live, 8.8MiB allocated
Compiler: Compiled 345 to 102 computations (70.4% saved)

prune5.0ms (0.2%)

Memory

8.9MiB live, 8.9MiB allocated

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	57	0	57
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	57	6	63

Accuracy

100.0%

Counts

63 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
✓	74.0%	(/.f64 (fma.f64 x x #s(literal -256 binary64)) (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64)))
✓	99.9%	(*.f64 (-.f64 x #s(literal -16 binary64)) #s(literal 1/116 binary64))
✓	48.9%	#s(approx (/ (+ x 16) 116) (/.f64 x #s(literal 116 binary64)))
✓	48.8%	#s(approx (/ (+ x 16) 116) (*.f64 x #s(literal 1/116 binary64)))
✓	52.9%	#s(approx (/ (+ x 16) 116) #s(literal 4/29 binary64))

Compiler

Compiled 61 to 48 computations (21.3% saved)

regimes8.0ms (0.3%)

Memory

11.1MiB live, 11.1MiB allocated

Counts

7 → 1

Calls

Call 1

Inputs
#s(approx (/ (+ x 16) 116) #s(literal 4/29 binary64))
#s(approx (/ (+ x 16) 116) (*.f64 x #s(literal 1/116 binary64)))
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
(*.f64 (-.f64 x #s(literal -16 binary64)) #s(literal 1/116 binary64))
#s(approx (/ (+ x 16) 116) (/.f64 x #s(literal 116 binary64)))
(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))
(/.f64 (fma.f64 x x #s(literal -256 binary64)) (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64)))

Outputs
(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))

Calls

3 calls:

3.0ms	x
3.0ms	(+.f64 x #s(literal 16 binary64))
3.0ms	(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))

Results

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

Compiler

Compiled 9 to 9 computations (0% saved)

regimes7.0ms (0.2%)

Memory

9.6MiB live, 9.6MiB allocated

Counts

5 → 1

Calls

Call 1

Inputs
#s(approx (/ (+ x 16) 116) #s(literal 4/29 binary64))
#s(approx (/ (+ x 16) 116) (*.f64 x #s(literal 1/116 binary64)))
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
(*.f64 (-.f64 x #s(literal -16 binary64)) #s(literal 1/116 binary64))
#s(approx (/ (+ x 16) 116) (/.f64 x #s(literal 116 binary64)))

Outputs
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))

Calls

3 calls:

2.0ms	x
2.0ms	(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))
2.0ms	(+.f64 x #s(literal 16 binary64))

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))`
99.9%	1	`(+.f64 x #s(literal 16 binary64))`

Compiler

Compiled 9 to 9 computations (0% saved)

regimes15.0ms (0.5%)

Memory

-36.0MiB live, 7.5MiB allocated

Counts

2 → 3

Calls

Call 1

Inputs
#s(approx (/ (+ x 16) 116) #s(literal 4/29 binary64))
#s(approx (/ (+ x 16) 116) (*.f64 x #s(literal 1/116 binary64)))

Outputs
#s(approx (/ (+ x 16) 116) (*.f64 x #s(literal 1/116 binary64)))
#s(approx (/ (+ x 16) 116) #s(literal 4/29 binary64))
#s(approx (/ (+ x 16) 116) (*.f64 x #s(literal 1/116 binary64)))

Calls

3 calls:

12.0ms	x
1.0ms	(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))
1.0ms	(+.f64 x #s(literal 16 binary64))

Results

Accuracy	Segments	Branch
98.5%	3	`x`
98.5%	3	`(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))`
98.5%	3	`(+.f64 x #s(literal 16 binary64))`

Compiler

Compiled 9 to 9 computations (0% saved)

regimes17.0ms (0.6%)

Memory

16.5MiB live, 16.5MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (/ (+ x 16) 116) #s(literal 4/29 binary64))

Outputs
#s(approx (/ (+ x 16) 116) #s(literal 4/29 binary64))

Calls

3 calls:

14.0ms	(+.f64 x #s(literal 16 binary64))
1.0ms	x
1.0ms	(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))

Results

Accuracy	Segments	Branch
52.9%	1	`x`
52.9%	1	`(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))`
52.9%	1	`(+.f64 x #s(literal 16 binary64))`

Compiler

Compiled 9 to 9 computations (0% saved)

bsearch1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	16.000000002073964	21920718.203501128
0.0ms	-52112178.000615895	15.99652001297727

Compiler

Compiled 8 to 9 computations (-12.5% saved)

simplify9.0ms (0.3%)

Memory

10.6MiB live, 10.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	45
1	25	45

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
(if (<=.f64 (+.f64 x #s(literal 16 binary64)) #s(literal -50000000 binary64)) #s(approx (/ (+ x 16) 116) (.f64 x #s(literal 1/116 binary64))) (if (<=.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 20 binary64)) #s(approx (/ (+ x 16) 116) #s(literal 4/29 binary64)) #s(approx (/ (+ x 16) 116) (.f64 x #s(literal 1/116 binary64)))))
#s(approx (/ (+ x 16) 116) #s(literal 4/29 binary64))

Outputs
(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))
(/.f64 (+.f64 #s(literal 16 binary64) x) #s(literal 116 binary64))
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
(if (<=.f64 (+.f64 x #s(literal 16 binary64)) #s(literal -50000000 binary64)) #s(approx (/ (+ x 16) 116) (.f64 x #s(literal 1/116 binary64))) (if (<=.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 20 binary64)) #s(approx (/ (+ x 16) 116) #s(literal 4/29 binary64)) #s(approx (/ (+ x 16) 116) (.f64 x #s(literal 1/116 binary64)))))
(if (or (<=.f64 (+.f64 #s(literal 16 binary64) x) #s(literal -50000000 binary64)) (not (<=.f64 (+.f64 #s(literal 16 binary64) x) #s(literal 20 binary64)))) #s(approx (/ (+ x 16) 116) (*.f64 #s(literal 1/116 binary64) x)) #s(approx (/ (+ x 16) 116) #s(literal 4/29 binary64)))
#s(approx (/ (+ x 16) 116) #s(literal 4/29 binary64))

soundness145.0ms (4.9%)

Memory

-12.3MiB live, 61.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	82
1	41	82
2	67	82
3	140	82
4	140	82
5	143	82
6	148	82
7	148	82
0	148	73
0	5	8
0	7	8
1	33	8
2	177	8
3	1450	8
0	8329	7

Stop Event

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

Compiler

Compiled 44 to 33 computations (25% saved)

preprocess43.0ms (1.5%)

Memory: 26.1MiB live, 110.0MiB allocated
Compiler: Compiled 70 to 46 computations (34.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample892.0ms (30.3%)

explain130.0ms (4.4%)

preprocess15.0ms (0.5%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify38.0ms (1.3%)

localize13.0ms (0.4%)

series2.0ms (0.1%)

simplify5.0ms (0.2%)

rewrite332.0ms (11.3%)

eval139.0ms (4.7%)

prune55.0ms (1.9%)

simplify5.0ms (0.2%)

localize78.0ms (2.7%)

series7.0ms (0.2%)

simplify115.0ms (3.9%)

rewrite386.0ms (13.1%)

eval243.0ms (8.3%)

prune54.0ms (1.8%)

simplify4.0ms (0.1%)

localize19.0ms (0.6%)

series2.0ms (0.1%)

simplify4.0ms (0.1%)

rewrite140.0ms (4.7%)

eval14.0ms (0.5%)

prune5.0ms (0.2%)

regimes8.0ms (0.3%)

regimes7.0ms (0.2%)

regimes15.0ms (0.5%)

regimes17.0ms (0.6%)

bsearch1.0ms (0%)

simplify9.0ms (0.3%)

soundness145.0ms (4.9%)

preprocess43.0ms (1.5%)

end0.0ms (0%)

Profiling