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)

sample990.0ms (37.3%)

Memory

-13.9MiB live, 701.8MiB allocated

Samples

519.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 260.0ms

ival-add: 162.0ms (62.3% of total)

ival-div: 81.0ms (31.1% of total)

exact: 8.0ms (3.1% of total)

ival-true: 6.0ms (2.3% of total)

ival-assert: 3.0ms (1.2% of total)

Bogosity

explain118.0ms (4.5%)

Memory

21.0MiB live, 99.0MiB 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

95.0ms

512×

valid

Compiler

Compiled 31 to 19 computations (38.7% saved)

Precisions

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

ival-div: 4.0ms (51% of total)

ival-add: 3.0ms (38.2% of total)

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

exact: 0.0ms (0% of total)

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

preprocess22.0ms (0.8%)

Memory

-35.2MiB live, 16.5MiB allocated

Algorithm

1×	egg-herbie

Rules

36×	`div-sub`
30×	`sub-neg`
28×	`distribute-lft-neg-in`
26×	`associate-/l*`
26×	`*-commutative`

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)

simplify4.0ms (0.1%)

Memory

4.1MiB live, 4.1MiB 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))

Rules

4×	`lower-+.f32`
2×	`lift-+.f64`
2×	`lift-/.f64`
2×	`lower-+.f64`
2×	`lower-/.f32`

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 (0.5%)

Memory

25.8MiB live, 25.8MiB 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 (52.5% of total)

ival-add: 2.0ms (52.5% of total)

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

exact: 0.0ms (0% of total)

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

series35.0ms (1.3%)

Memory

-33.0MiB live, 6.3MiB 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
33.0ms	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))

simplify6.0ms (0.2%)

Memory

16.9MiB live, 16.9MiB allocated

Algorithm

1×	egg-herbie

Rules

72×	`lower-*.f64`
72×	`lower-*.f32`
32×	`associate-r`
32×	`associate-l`
28×	`lower-fma.f64`

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)

rewrite174.0ms (6.6%)

Memory

-6.8MiB live, 186.8MiB allocated

Rules

5 334×	`lower-/.f32`
5 332×	`lower-/.f64`
3 418×	`lower-*.f64`
3 418×	`lower-*.f32`
2 760×	`lower-fma.f64`

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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eval85.0ms (3.2%)

Memory: -5.7MiB live, 75.0MiB allocated
Compiler: Compiled 8 443 to 1 239 computations (85.3% saved)

prune7.0ms (0.3%)

Memory

23.9MiB live, 23.9MiB 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 -16 binary64)) #s(literal 1/116 binary64))
▶	46.0%	#s(approx (/ (+ x 16) 116) (*.f64 x #s(literal 1/116 binary64)))
▶	54.5%	#s(approx (/ (+ x 16) 116) #s(literal 4/29 binary64))

Compiler

Compiled 20 to 21 computations (-5% saved)

simplify5.0ms (0.2%)

Memory

3.9MiB live, 3.9MiB 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 -16 binary64))
cost-diff	128	(*.f64 (-.f64 x #s(literal -16 binary64)) #s(literal 1/116 binary64))
cost-diff	0	(*.f64 x #s(literal 1/116 binary64))
cost-diff	0	#s(approx (/ (+ x 16) 116) (*.f64 x #s(literal 1/116 binary64)))
cost-diff	0	#s(approx (/ (+ x 16) 116) #s(literal 4/29 binary64))

Rules

12×	`lower-+.f64`
12×	`lower-+.f32`
8×	`lower-*.f32`
6×	`+-commutative`
4×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	40
0	18	41
1	24	39
2	30	39
3	32	39
4	33	39
0	33	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 -16 binary64)) #s(literal 1/116 binary64))
(-.f64 x #s(literal -16 binary64))
x
#s(literal -16 binary64)
#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)

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 -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)
(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 (1.8%)

Memory

-3.7MiB live, 34.0MiB allocated

Localize:

Found 6 expressions of interest:

New	Metric	Score
accuracy	0.0546875	(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
accuracy	0	(-.f64 x #s(literal -16 binary64))
accuracy	0.05078125	(*.f64 (-.f64 x #s(literal -16 binary64)) #s(literal 1/116 binary64))
accuracy	0.09375	(*.f64 x #s(literal 1/116 binary64))
accuracy	34.253018663597906	#s(approx (/ (+ x 16) 116) (*.f64 x #s(literal 1/116 binary64)))
accuracy	29.140409888813068	#s(approx (/ (+ x 16) 116) #s(literal 4/29 binary64))

Samples

39.0ms	255×	0	valid
1.0ms	1×	5	exit

Compiler

Compiled 37 to 14 computations (62.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

ival-add: 16.0ms (52.1% of total)

const: 6.0ms (19.5% of total)

ival-mult: 3.0ms (9.8% of total)

ival-div: 2.0ms (6.5% of total)

ival-sub: 2.0ms (6.5% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series4.0ms (0.1%)

Memory

3.9MiB live, 3.9MiB allocated

Counts

6 → 72

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

inf

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

1.0ms

-inf

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

0.0ms

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

simplify7.0ms (0.3%)

Memory

6.2MiB live, 6.2MiB allocated

Algorithm

1×	egg-herbie

Rules

72×	`lower-*.f64`
72×	`lower-*.f32`
32×	`associate-r`
32×	`associate-l`
28×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	274
1	41	274
2	67	274
3	140	274
4	140	274
5	143	274
6	148	274
7	148	274
0	148	238

Stop Event

1×	iter limit
1×	saturated

Counts

72 → 70

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

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

rewrite234.0ms (8.8%)

Memory

2.5MiB live, 157.9MiB allocated

Rules

5 122×	`lower-/.f64`
5 122×	`lower-/.f32`
3 536×	`lower-*.f32`
3 532×	`lower-*.f64`
3 276×	`lower-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	31
0	18	32
1	72	28
2	416	28
3	3530	28
0	9390	28

Stop Event

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

Counts

6 → 768

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

Outputs
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eval253.0ms (9.5%)

Memory: -8.3MiB live, 150.8MiB allocated
Compiler: Compiled 15 325 to 1 441 computations (90.6% saved)

prune73.0ms (2.8%)

Memory

5.9MiB live, 43.1MiB allocated

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	837	1	838
Fresh	0	0	0
Picked	0	4	4
Done	1	0	1
Total	838	5	843

Accuracy

100.0%

Counts

843 → 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))
✓	99.9%	(*.f64 (-.f64 x #s(literal -16 binary64)) #s(literal 1/116 binary64))
▶	46.1%	#s(approx (/ (+ x 16) 116) (/.f64 x #s(literal 116 binary64)))
✓	46.0%	#s(approx (/ (+ x 16) 116) (*.f64 x #s(literal 1/116 binary64)))
✓	54.5%	#s(approx (/ (+ x 16) 116) #s(literal 4/29 binary64))

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify4.0ms (0.2%)

Memory

3.7MiB live, 3.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

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

Rules

4×	`lower-+.f64`
4×	`lower-/.f32`
4×	`lower-+.f32`
2×	`lift-/.f64`
2×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize60.0ms (2.3%)

Memory

-20.5MiB live, 18.1MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0	(/.f64 x #s(literal 116 binary64))
accuracy	34.49518475328667	#s(approx (/ (+ x 16) 116) (/.f64 x #s(literal 116 binary64)))

Samples

11.0ms

256×

valid

Compiler

Compiled 12 to 8 computations (33.3% saved)

Precisions

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

ival-div: 3.0ms (55.1% of total)

ival-add: 2.0ms (36.7% 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

2.0MiB live, 2.0MiB allocated

Counts

2 → 24

Calls

Call 1

Inputs

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

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

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

Calls

3 calls:

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

simplify5.0ms (0.2%)

Memory

4.6MiB live, 4.6MiB allocated

Algorithm

1×	egg-herbie

Rules

44×	`lower-*.f64`
44×	`lower-*.f32`
16×	`lower-fma.f64`
16×	`lower-fma.f32`
12×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated

Counts

24 → 24

Calls

Call 1

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

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

rewrite160.0ms (6%)

Memory

7.5MiB live, 121.3MiB allocated

Rules

5 340×	`lower-/.f32`
5 338×	`lower-/.f64`
3 610×	`lower-*.f64`
3 610×	`lower-*.f32`
2 986×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	12
0	8	12
1	39	12
2	200	12
3	1541	12
0	8569	11

Stop Event

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

Counts

2 → 30

Calls

Call 1

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

Outputs
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eval5.0ms (0.2%)

Memory: 9.7MiB live, 9.7MiB allocated
Compiler: Compiled 323 to 94 computations (70.9% saved)

prune4.0ms (0.2%)

Memory

9.2MiB live, 9.2MiB allocated

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	54	0	54
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	54	5	59

Accuracy

100.0%

Counts

59 → 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))
✓	99.9%	(*.f64 (-.f64 x #s(literal -16 binary64)) #s(literal 1/116 binary64))
✓	46.1%	#s(approx (/ (+ x 16) 116) (/.f64 x #s(literal 116 binary64)))
✓	46.0%	#s(approx (/ (+ x 16) 116) (*.f64 x #s(literal 1/116 binary64)))
✓	54.5%	#s(approx (/ (+ x 16) 116) #s(literal 4/29 binary64))

Compiler

Compiled 43 to 36 computations (16.3% saved)

regimes37.0ms (1.4%)

Memory

-24.6MiB live, 13.3MiB 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))
#s(approx (/ (+ x 16) 116) (/.f64 x #s(literal 116 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:

32.0ms	(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))
3.0ms	x
2.0ms	(+.f64 x #s(literal 16 binary64))

Results

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

Compiler

Compiled 9 to 9 computations (0% saved)

regimes7.0ms (0.3%)

Memory

11.4MiB live, 11.4MiB allocated

Counts

5 → 1

Calls

Call 1

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

Outputs
(*.f64 (-.f64 x #s(literal -16 binary64)) #s(literal 1/116 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 (0.2%)

Memory

9.6MiB live, 9.6MiB allocated

Counts

3 → 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))

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

regimes4.0ms (0.2%)

Memory

8.4MiB live, 8.4MiB 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 x #s(literal 16 binary64))
1.0ms	(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))

Results

Accuracy	Segments	Branch
96.8%	3	`x`
96.8%	3	`(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))`
96.8%	3	`(+.f64 x #s(literal 16 binary64))`

Compiler

Compiled 9 to 9 computations (0% saved)

regimes36.0ms (1.4%)

Memory

-27.6MiB live, 20.1MiB 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:

33.0ms	(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))
1.0ms	x
1.0ms	(+.f64 x #s(literal 16 binary64))

Results

Accuracy	Segments	Branch
54.5%	1	`x`
54.5%	1	`(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))`
54.5%	1	`(+.f64 x #s(literal 16 binary64))`

Compiler

Compiled 9 to 9 computations (0% saved)

bsearch1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	16.335926870594978	193.07712049101065
0.0ms	-1412.9503549602534	15.97078950411443

Compiler

Compiled 8 to 9 computations (-12.5% saved)

simplify38.0ms (1.4%)

Memory

7.3MiB live, 45.8MiB allocated

Algorithm

1×	egg-herbie

Rules

6×	`-commutative-binary64-.f64`
6×	`+-commutative-binary64-+.f64`
4×	`sub-neg-binary64-neg.f64-+.f64--.f64`
2×	`neg-sub0-binary64--.f64-neg.f64`
2×	`neg-mul-1-binary64-*.f64-neg.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	58
1	27	58
2	32	58
3	34	58
4	35	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 -16 binary64)) #s(literal 1/116 binary64))
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
(if (<=.f64 (+.f64 x #s(literal 16 binary64)) #s(literal -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 -16 binary64)) #s(literal 1/116 binary64))
(*.f64 #s(literal 1/116 binary64) (-.f64 x #s(literal -16 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)))))
(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))

soundness163.0ms (6.1%)

Memory

-17.5MiB live, 104.9MiB allocated

Rules

5 334×	`lower-/.f32`
5 332×	`lower-/.f64`
3 418×	`lower-*.f64`
3 418×	`lower-*.f32`
2 760×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	82
1	41	82
2	67	82
3	140	82
4	140	82
5	143	82
6	148	82
7	148	82
0	148	73
0	5	8
0	7	8
1	33	8
2	177	8
3	1440	8
0	8404	7

Stop Event

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

Compiler

Compiled 62 to 44 computations (29% saved)

preprocess42.0ms (1.6%)

Memory: 26.9MiB live, 65.5MiB allocated
Compiler: Compiled 86 to 50 computations (41.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	15	274
1	41	274
2	67	274
3	140	274
4	140	274
5	143	274
6	148	274
7	148	274
0	148	238

Iter	Nodes	Cost
0	15	274
1	41	274
2	67	274
3	140	274
4	140	274
5	143	274
6	148	274
7	148	274
0	148	238

start0.0ms (0%)

analyze0.0ms (0%)

sample990.0ms (37.3%)

explain118.0ms (4.5%)

preprocess22.0ms (0.8%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify4.0ms (0.1%)

localize13.0ms (0.5%)

series35.0ms (1.3%)

simplify6.0ms (0.2%)

rewrite174.0ms (6.6%)

eval85.0ms (3.2%)

prune7.0ms (0.3%)

simplify5.0ms (0.2%)

localize48.0ms (1.8%)

series4.0ms (0.1%)

simplify7.0ms (0.3%)

rewrite234.0ms (8.8%)

eval253.0ms (9.5%)

prune73.0ms (2.8%)

simplify4.0ms (0.2%)

localize60.0ms (2.3%)

series2.0ms (0.1%)

simplify5.0ms (0.2%)

rewrite160.0ms (6%)

eval5.0ms (0.2%)

prune4.0ms (0.2%)

regimes37.0ms (1.4%)

regimes7.0ms (0.3%)

regimes5.0ms (0.2%)

regimes4.0ms (0.2%)

regimes36.0ms (1.4%)

bsearch1.0ms (0%)

simplify38.0ms (1.4%)

soundness163.0ms (6.1%)

preprocess42.0ms (1.6%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	15	274
1	41	274
2	67	274
3	140	274
4	140	274
5	143	274
6	148	274
7	148	274
0	148	238