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

0.4MiB live, 0.4MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 7 to 7 computations (0% saved)

sample604.0ms (27.6%)

Memory

-23.6MiB live, 672.6MiB allocated

Samples

380.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 159.0ms

ival-div: 81.0ms (50.9% of total)

ival-add: 61.0ms (38.4% of total)

exact: 8.0ms (5% of total)

ival-true: 7.0ms (4.4% of total)

ival-assert: 3.0ms (1.9% of total)

Bogosity

explain46.0ms (2.1%)

Memory

29.6MiB live, 105.5MiB 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

20.0ms

512×

valid

Compiler

Compiled 31 to 19 computations (38.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-div: 6.0ms (58.8% of total)

ival-add: 3.0ms (29.4% of total)

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

exact: 0.0ms (0% of total)

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

preprocess37.0ms (1.7%)

Memory

-17.2MiB live, 22.0MiB 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

0.8MiB live, 0.8MiB 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)

simplify3.0ms (0.1%)

Memory

2.4MiB live, 2.4MiB 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 (0.6%)

Memory

14.2MiB live, 14.2MiB 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 13 to 7 computations (46.2% saved)

Precisions

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

ival-div: 2.0ms (53.8% of total)

ival-add: 1.0ms (26.9% 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

1.6MiB live, 1.6MiB 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 (0.2%)

Memory

2.5MiB live, 2.5MiB 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)

rewrite237.0ms (10.8%)

Memory

-11.8MiB live, 107.7MiB 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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eval93.0ms (4.2%)

Memory: 10.8MiB live, 93.0MiB allocated
Compiler: Compiled 8 443 to 1 239 computations (85.3% saved)

prune38.0ms (1.7%)

Memory

-11.3MiB live, 26.6MiB allocated

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	434	4	438
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	434	5	439

Accuracy

100.0%

Counts

439 → 5

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))
✓	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))
▶	54.1%	#s(approx (/ (+ x 16) 116) (*.f64 x #s(literal 1/116 binary64)))
▶	47.0%	#s(approx (/ (+ x 16) 116) #s(literal 4/29 binary64))

Compiler

Compiled 20 to 21 computations (-5% saved)

simplify4.0ms (0.2%)

Memory

6.7MiB live, 6.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

New	Metric	Score
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	128	(+.f64 (*.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))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	39
0	14	39
1	17	39
0	17	39

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

Outputs
#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 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)
(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)

localize48.0ms (2.2%)

Memory

5.8MiB live, 44.8MiB allocated

Localize:

Found 6 expressions of interest:

New	Metric	Score
accuracy	0.03515625	(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
accuracy	0.0078125	(+.f64 (*.f64 x #s(literal 1/116 binary64)) #s(literal 4/29 binary64))
accuracy	0.08203125	(*.f64 x #s(literal 1/116 binary64))
accuracy	0.08203125	(*.f64 x #s(literal 1/116 binary64))
accuracy	29.334478923682145	#s(approx (/ (+ x 16) 116) (*.f64 x #s(literal 1/116 binary64)))
accuracy	33.94541040904956	#s(approx (/ (+ x 16) 116) #s(literal 4/29 binary64))

Samples

41.0ms

256×

valid

Compiler

Compiled 37 to 11 computations (70.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

ival-add: 22.0ms (67.9% of total)

const: 6.0ms (18.5% of total)

ival-div: 2.0ms (6.2% of total)

ival-mult: 2.0ms (6.2% of total)

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

exact: 0.0ms (0% of total)

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

series3.0ms (0.2%)

Memory

6.0MiB live, 6.0MiB allocated

Counts

5 → 60

Calls

Call 1

Inputs
#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 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 (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>) () ())

Outputs
#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 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 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 (* 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 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 (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 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 (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>) () ())) ())

Calls

3 calls:

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

Time

Variable

Point

Expression

1.0ms

inf

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

1.0ms

-inf

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

0.0ms

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

simplify31.0ms (1.4%)

Memory

-30.4MiB live, 8.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	244
1	24	244
2	37	244
3	49	244
4	49	244
5	64	244
6	70	244
7	74	244
8	74	244
0	74	208

Stop Event

1×	iter limit
1×	saturated

Counts

60 → 60

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

rewrite387.0ms (17.7%)

Memory

20.9MiB live, 139.4MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	27
0	14	27
1	55	27
2	318	25
3	2622	25
0	9070	25

Stop Event

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

Counts

5 → 537

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

Outputs
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eval133.0ms (6.1%)

Memory: 2.8MiB live, 135.1MiB allocated
Compiler: Compiled 10 419 to 808 computations (92.2% saved)

prune64.0ms (2.9%)

Memory

-25.2MiB live, 51.3MiB allocated

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	616	0	616
Fresh	0	0	0
Picked	0	4	4
Done	0	1	1
Total	616	5	621

Accuracy

100.0%

Counts

621 → 5

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))
✓	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))
✓	54.1%	#s(approx (/ (+ x 16) 116) (*.f64 x #s(literal 1/116 binary64)))
✓	47.0%	#s(approx (/ (+ x 16) 116) #s(literal 4/29 binary64))

Compiler

Compiled 40 to 33 computations (17.5% saved)

regimes7.0ms (0.3%)

Memory

18.2MiB live, 18.2MiB 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 1/116 binary64)) #s(literal 4/29 binary64))
(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))

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

Calls

3 calls:

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

regimes56.0ms (2.6%)

Memory

-30.2MiB live, 15.0MiB 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 1/116 binary64)) #s(literal 4/29 binary64))

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

Calls

3 calls:

52.0ms	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 (0.2%)

Memory

10.7MiB live, 10.7MiB 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:

2.0ms	x
1.0ms	(+.f64 x #s(literal 16 binary64))
1.0ms	(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))

Results

Accuracy	Segments	Branch
97.8%	3	`x`
97.8%	3	`(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))`
97.8%	3	`(+.f64 x #s(literal 16 binary64))`

Compiler

Compiled 9 to 9 computations (0% saved)

regimes4.0ms (0.2%)

Memory

12.9MiB live, 12.9MiB 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	(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))
1.0ms	(+.f64 x #s(literal 16 binary64))
1.0ms	x

Results

Accuracy	Segments	Branch
47.0%	1	`x`
47.0%	1	`(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))`
47.0%	1	`(+.f64 x #s(literal 16 binary64))`

Compiler

Compiled 9 to 9 computations (0% saved)

bsearch1.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	16.00092063201217	173.15509981115454
0.0ms	-49281.87811279351	12.688454144616307

Compiler

Compiled 8 to 9 computations (-12.5% saved)

simplify116.0ms (5.3%)

Memory

-7.6MiB live, 71.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	53
1	21	53

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 -40000 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 -40000 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 -40000 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))

soundness186.0ms (8.5%)

Memory

-5.7MiB live, 115.0MiB 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 47 to 32 computations (31.9% saved)

preprocess69.0ms (3.1%)

Memory: 17.9MiB live, 57.3MiB allocated
Compiler: Compiled 76 to 44 computations (42.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	10	244
1	24	244
2	37	244
3	49	244
4	49	244
5	64	244
6	70	244
7	74	244
8	74	244
0	74	208

Iter	Nodes	Cost
0	10	244
1	24	244
2	37	244
3	49	244
4	49	244
5	64	244
6	70	244
7	74	244
8	74	244
0	74	208

start0.0ms (0%)

analyze0.0ms (0%)

sample604.0ms (27.6%)

explain46.0ms (2.1%)

preprocess37.0ms (1.7%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0.1%)

localize13.0ms (0.6%)

series2.0ms (0.1%)

simplify5.0ms (0.2%)

rewrite237.0ms (10.8%)

eval93.0ms (4.2%)

prune38.0ms (1.7%)

simplify4.0ms (0.2%)

localize48.0ms (2.2%)

series3.0ms (0.2%)

simplify31.0ms (1.4%)

rewrite387.0ms (17.7%)

eval133.0ms (6.1%)

prune64.0ms (2.9%)

regimes7.0ms (0.3%)

regimes56.0ms (2.6%)

regimes5.0ms (0.2%)

regimes4.0ms (0.2%)

bsearch1.0ms (0%)

simplify116.0ms (5.3%)

soundness186.0ms (8.5%)

preprocess69.0ms (3.1%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	10	244
1	24	244
2	37	244
3	49	244
4	49	244
5	64	244
6	70	244
7	74	244
8	74	244
0	74	208