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

0.3MiB live, 0.3MiB 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)

sample42.0s (95.7%)

Memory

-5.8MiB live, 13 951.6MiB allocated

Samples

35.5s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 17.2s

ival-add: 9.7s (56.2% of total)

ival-div: 7.5s (43.7% of total)

exact: 9.0ms (0.1% of total)

ival-true: 6.0ms (0% of total)

ival-assert: 3.0ms (0% of total)

Bogosity

explain87.0ms (0.2%)

Memory

-19.2MiB live, 64.8MiB 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

28.0ms

512×

valid

Compiler

Compiled 64 to 42 computations (34.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-add: 13.0ms (74.3% of total)

ival-div: 4.0ms (22.9% 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%)

Memory

15.1MiB live, 15.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	12
1	19	10
2	34	10
3	75	10
4	161	10
5	240	10
6	258	10
7	262	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

0.9MiB live, 0.9MiB 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)

simplify2.0ms (0%)

Memory

2.9MiB live, 2.9MiB 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)

localize17.0ms (0%)

Memory

-13.0MiB live, 23.6MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0	(+.f64 x #s(literal 16 binary64))
accuracy	0.01171875	(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))

Samples

13.0ms

256×

valid

Compiler

Compiled 24 to 12 computations (50% saved)

Precisions

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

ival-div: 6.0ms (78.7% of total)

ival-add: 1.0ms (13.1% 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%)

Memory

2.6MiB live, 2.6MiB 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%)

Memory

6.4MiB live, 6.4MiB 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)

rewrite211.0ms (0.5%)

Memory

0.0MiB live, 120.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	8
0	7	8
1	33	8
2	177	8
3	1440	8
0	8404	7

Stop Event

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

Counts

2 → 416

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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eval50.0ms (0.1%)

Memory: 17.4MiB live, 55.0MiB allocated
Compiler: Compiled 8 443 to 1 239 computations (85.3% saved)

prune29.0ms (0.1%)

Memory

-9.9MiB live, 28.3MiB allocated

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	432	6	438
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	432	7	439

Accuracy

100.0%

Counts

439 → 7

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))
	76.6%	(/.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 1/116 binary64)) #s(literal 4/29 binary64))
▶	99.9%	(*.f64 (-.f64 x #s(literal -16 binary64)) #s(literal 1/116 binary64))
▶	47.6%	#s(approx (/ (+ x 16) 116) (*.f64 x #s(literal 1/116 binary64)))
▶	54.0%	#s(approx (/ (+ x 16) 116) #s(literal 4/29 binary64))

Compiler

Compiled 63 to 61 computations (3.2% saved)

simplify4.0ms (0%)

Memory

4.7MiB live, 4.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	50
0	19	49
1	25	49
2	31	49
3	33	49
4	34	49
0	34	49

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize39.0ms (0.1%)

Memory

8.3MiB live, 44.8MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 x #s(literal -16 binary64))
accuracy	0.05859375	(*.f64 (-.f64 x #s(literal -16 binary64)) #s(literal 1/116 binary64))
accuracy	0.05859375	(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
accuracy	0.09375	(*.f64 x #s(literal 1/116 binary64))
accuracy	33.49327704652022	#s(approx (/ (+ x 16) 116) (*.f64 x #s(literal 1/116 binary64)))
accuracy	29.41179319472657	#s(approx (/ (+ x 16) 116) #s(literal 4/29 binary64))
accuracy	0.0078125	(+.f64 (*.f64 x #s(literal 1/116 binary64)) #s(literal 4/29 binary64))
accuracy	0.09375	(*.f64 x #s(literal 1/116 binary64))

Samples

30.0ms

256×

valid

Compiler

Compiled 89 to 25 computations (71.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

const: 6.0ms (31.1% of total)

ival-div: 5.0ms (26% of total)

ival-mult: 3.0ms (15.6% of total)

ival-add: 2.0ms (10.4% of total)

ival-sub: 1.0ms (5.2% of total)

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

exact: 0.0ms (0% of total)

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

series4.0ms (0%)

Memory

4.6MiB live, 4.6MiB allocated

Counts

7 → 84

Calls

Call 1

Inputs
#s(alt (+.f64 (.f64 x #s(literal 1/116 binary64)) #s(literal 4/29 binary64)) (patch (+.f64 (.f64 x #s(literal 1/116 binary64)) #s(literal 4/29 binary64)) #<representation binary64>) () ())
#s(alt (.f64 x #s(literal 1/116 binary64)) (patch (.f64 x #s(literal 1/116 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 (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 (.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>) () ())

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

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	((+ (* x 1/116) 4/29) (* x 1/116) (/ (+ x 16) 116) (/ (+ x 16) 116) (+ (* x 1/116) 4/29) (* (- x -16) 1/116) (- x -16))
1.0ms	x	@	-inf	((+ (* x 1/116) 4/29) (* x 1/116) (/ (+ x 16) 116) (/ (+ x 16) 116) (+ (* x 1/116) 4/29) (* (- x -16) 1/116) (- x -16))
0.0ms	x	@	0	((+ (* x 1/116) 4/29) (* x 1/116) (/ (+ x 16) 116) (/ (+ x 16) 116) (+ (* x 1/116) 4/29) (* (- x -16) 1/116) (- x -16))

Time

Variable

Point

Expression

1.0ms

inf

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

1.0ms

-inf

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

0.0ms

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

simplify9.0ms (0%)

Memory

-39.8MiB live, 6.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	326
1	41	326
2	67	326
3	140	326
4	140	326
5	143	326
6	148	326
7	148	326
0	148	281

Stop Event

1×	iter limit
1×	saturated

Counts

84 → 82

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)
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))
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))))
(* 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)
(* 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))))
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))))
(* 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)
(* 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))))
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))
(* 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))
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))
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))
(* 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))
(* 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))
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))
(* 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))
(* 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))
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)

rewrite174.0ms (0.4%)

Memory

16.7MiB live, 176.5MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	35
0	19	34
1	73	32
2	417	32
3	3518	32
0	9390	32

Stop Event

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

Counts

7 → 1 065

Calls

Call 1

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

Outputs
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eval376.0ms (0.9%)

Memory: 15.1MiB live, 127.1MiB allocated
Compiler: Compiled 21 098 to 1 455 computations (93.1% saved)

prune238.0ms (0.5%)

Memory

-2.0MiB live, 49.6MiB allocated

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	1 172	1	1 173
Fresh	0	1	1
Picked	0	5	5
Done	1	0	1
Total	1 173	7	1 180

Accuracy

100.0%

Counts

1 180 → 7

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))
▶	76.6%	(/.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 1/116 binary64)) #s(literal 4/29 binary64))
✓	99.9%	(*.f64 (-.f64 x #s(literal -16 binary64)) #s(literal 1/116 binary64))
▶	47.7%	#s(approx (/ (+ x 16) 116) (/.f64 x #s(literal 116 binary64)))
✓	47.6%	#s(approx (/ (+ x 16) 116) (*.f64 x #s(literal 1/116 binary64)))
✓	54.0%	#s(approx (/ (+ x 16) 116) #s(literal 4/29 binary64))

Compiler

Compiled 33 to 32 computations (3% saved)

simplify4.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 5 expressions of interest:

New	Metric	Score	Program
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 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	12	35
0	18	35
1	22	35
0	22	35

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

localize41.0ms (0.1%)

Memory

-4.0MiB live, 36.1MiB allocated

Localize:

Found 5 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	14.951347891135574	(/.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 116 binary64))
accuracy	33.49327704652022	#s(approx (/ (+ x 16) 116) (/.f64 x #s(literal 116 binary64)))

Samples

20.0ms	254×	0	valid
1.0ms	1×	2	valid
0.0ms	1×	1	valid

Compiler

Compiled 67 to 24 computations (64.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-div: 5.0ms (37.4% of total)

ival-add: 4.0ms (29.9% of total)

ival-mult: 3.0ms (22.4% 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)

series6.0ms (0%)

Memory

-30.4MiB live, 8.3MiB allocated

Counts

5 → 60

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>) () ())
#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 #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 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 #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 (/.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 #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 (/.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

1.0ms

-inf

((/ (+ x 16) 116) (/ x 116) (/ (+ (* x x) -256) (+ (* 116 x) -1856)) (+ (* x x) -256) (+ (* 116 x) -1856))

1.0ms

inf

((/ (+ x 16) 116) (/ x 116) (/ (+ (* x x) -256) (+ (* 116 x) -1856)) (+ (* x x) -256) (+ (* 116 x) -1856))

1.0ms

((/ (+ x 16) 116) (/ x 116) (/ (+ (* x x) -256) (+ (* 116 x) -1856)) (+ (* x x) -256) (+ (* 116 x) -1856))

simplify106.0ms (0.2%)

Memory

36.3MiB live, 118.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	244
1	75	244
2	157	244
3	332	244
4	650	244
5	1085	244
6	2113	244
7	3763	244
8	4891	244
9	6141	244
10	7644	244
0	8160	208

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 60

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)
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)
(* 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))))
(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)
(* 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))))
(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))
(* 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))
-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))
(* 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))
(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))
(* 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))
(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))

rewrite177.0ms (0.4%)

Memory

-23.2MiB live, 170.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	29
0	18	29
1	88	29
2	547	25
3	5442	25
0	8118	23

Stop Event

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

Counts

5 → 414

Calls

Call 1

Inputs
#s(approx (/ (+ x 16) 116) (/.f64 x #s(literal 116 binary64)))
(/.f64 x #s(literal 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))
(fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64))

Outputs
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eval51.0ms (0.1%)

Memory: 30.1MiB live, 66.5MiB allocated
Compiler: Compiled 7 965 to 1 131 computations (85.8% saved)

prune13.0ms (0%)

Memory

-10.2MiB live, 26.2MiB allocated

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	474	0	474
Fresh	0	0	0
Picked	0	2	2
Done	0	5	5
Total	474	7	481

Accuracy

100.0%

Counts

481 → 7

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))
✓	76.6%	(/.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 1/116 binary64)) #s(literal 4/29 binary64))
✓	99.9%	(*.f64 (-.f64 x #s(literal -16 binary64)) #s(literal 1/116 binary64))
✓	47.7%	#s(approx (/ (+ x 16) 116) (/.f64 x #s(literal 116 binary64)))
✓	47.6%	#s(approx (/ (+ x 16) 116) (*.f64 x #s(literal 1/116 binary64)))
✓	54.0%	#s(approx (/ (+ x 16) 116) #s(literal 4/29 binary64))

Compiler

Compiled 71 to 54 computations (23.9% saved)

regimes9.0ms (0%)

Memory

10.3MiB live, 10.3MiB allocated

Counts

8 → 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))
(+.f64 (*.f64 x #s(literal 1/116 binary64)) #s(literal 4/29 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)

regimes12.0ms (0%)

Memory

-41.5MiB live, 9.1MiB allocated

Counts

6 → 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))
(+.f64 (*.f64 x #s(literal 1/116 binary64)) #s(literal 4/29 binary64))
#s(approx (/ (+ x 16) 116) (/.f64 x #s(literal 116 binary64)))

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

Calls

3 calls:

7.0ms	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)

regimes6.0ms (0%)

Memory

8.0MiB live, 8.0MiB allocated

Counts

4 → 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))

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)

regimes5.0ms (0%)

Memory

6.5MiB live, 6.5MiB 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:

1.0ms	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
98.1%	3	`x`
98.1%	3	`(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))`
98.1%	3	`(+.f64 x #s(literal 16 binary64))`

Compiler

Compiled 9 to 9 computations (0% saved)

regimes4.0ms (0%)

Memory

5.9MiB live, 5.9MiB 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:

1.0ms	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
54.0%	1	`x`
54.0%	1	`(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))`
54.0%	1	`(+.f64 x #s(literal 16 binary64))`

Compiler

Compiled 9 to 9 computations (0% saved)

bsearch1.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	16.000000000035943	239.00083457174242
0.0ms	-1017.9291203910927	15.999945547275493

Compiler

Compiled 8 to 9 computations (-12.5% saved)

simplify25.0ms (0.1%)

Memory

-8.7MiB live, 30.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	58
1	23	58

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))
(+.f64 (*.f64 x #s(literal 1/116 binary64)) #s(literal 4/29 binary64))
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
(if (<=.f64 (+.f64 x #s(literal 16 binary64)) #s(literal -1000 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))
(+.f64 (*.f64 x #s(literal 1/116 binary64)) #s(literal 4/29 binary64))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 1/116 binary64) x))
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
(if (<=.f64 (+.f64 x #s(literal 16 binary64)) #s(literal -1000 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 (<=.f64 (+.f64 #s(literal 16 binary64) x) #s(literal -1000 binary64)) #s(approx (/ (+ x 16) 116) (.f64 #s(literal 1/116 binary64) x)) (if (<=.f64 (+.f64 #s(literal 16 binary64) x) #s(literal 20 binary64)) #s(approx (/ (+ x 16) 116) #s(literal 4/29 binary64)) #s(approx (/ (+ x 16) 116) (.f64 #s(literal 1/116 binary64) x))))
#s(approx (/ (+ x 16) 116) #s(literal 4/29 binary64))

soundness110.0ms (0.3%)

Memory

-2.0MiB live, 76.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	8
0	7	8
1	33	8
2	177	8
3	1440	8
0	8404	7
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×	done
1×	iter limit
1×	saturated
1×	iter limit
1×	node limit
1×	iter limit

Compiler

Compiled 62 to 42 computations (32.3% saved)

preprocess54.0ms (0.1%)

Memory: 2.2MiB live, 48.7MiB allocated
Compiler: Compiled 86 to 46 computations (46.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	15	326
1	41	326
2	67	326
3	140	326
4	140	326
5	143	326
6	148	326
7	148	326
0	148	281

Iter	Nodes	Cost
0	15	326
1	41	326
2	67	326
3	140	326
4	140	326
5	143	326
6	148	326
7	148	326
0	148	281

start0.0ms (0%)

analyze0.0ms (0%)

sample42.0s (95.7%)

explain87.0ms (0.2%)

preprocess15.0ms (0%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify2.0ms (0%)

localize17.0ms (0%)

series2.0ms (0%)

simplify5.0ms (0%)

rewrite211.0ms (0.5%)

eval50.0ms (0.1%)

prune29.0ms (0.1%)

simplify4.0ms (0%)

localize39.0ms (0.1%)

series4.0ms (0%)

simplify9.0ms (0%)

rewrite174.0ms (0.4%)

eval376.0ms (0.9%)

prune238.0ms (0.5%)

simplify4.0ms (0%)

localize41.0ms (0.1%)

series6.0ms (0%)

simplify106.0ms (0.2%)

rewrite177.0ms (0.4%)

eval51.0ms (0.1%)

prune13.0ms (0%)

regimes9.0ms (0%)

regimes12.0ms (0%)

regimes6.0ms (0%)

regimes5.0ms (0%)

regimes4.0ms (0%)

bsearch1.0ms (0%)

simplify25.0ms (0.1%)

soundness110.0ms (0.3%)

preprocess54.0ms (0.1%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	15	326
1	41	326
2	67	326
3	140	326
4	140	326
5	143	326
6	148	326
7	148	326
0	148	281