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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 7 to 7 computations (0% saved)

sample540.0ms (21.7%)

Memory

31.8MiB live, 661.4MiB allocated

Samples

331.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 117.0ms

ival-div: 55.0ms (46.8% of total)

ival-add: 47.0ms (40% of total)

exact: 8.0ms (6.8% of total)

ival-true: 6.0ms (5.1% of total)

ival-assert: 3.0ms (2.6% of total)

Bogosity

explain85.0ms (3.4%)

Memory

-18.0MiB live, 58.1MiB 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

30.0ms

512×

valid

Compiler

Compiled 32 to 19 computations (40.6% saved)

Precisions

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

ival-div: 4.0ms (52.2% of total)

ival-add: 3.0ms (39.2% of total)

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

exact: 0.0ms (0% of total)

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

preprocess16.0ms (0.6%)

Memory

17.7MiB live, 17.7MiB allocated

Algorithm

1×	egg-herbie

Rules

18×	`div-sub`
15×	`sub-neg`
14×	`distribute-lft-neg-in`
13×	`associate-/l*`
13×	`*-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 6 to 5 computations (16.7% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 6 to 5 computations (16.7% saved)

simplify3.0ms (0.1%)

Memory

3.1MiB live, 3.1MiB 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

2×	`lower-+.f32`
1×	`lift-+.f64`
1×	`lift-/.f64`
1×	`lower-+.f64`
1×	`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)

localize20.0ms (0.8%)

Memory

-18.9MiB live, 18.9MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0	(+.f64 x #s(literal 16 binary64))
accuracy	0.00390625	(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))

Samples

14.0ms

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 (53.9% 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

2.0MiB live, 2.0MiB allocated

Counts

2 → 24

Calls

Call 1

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

Inputs

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

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

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

6 calls:

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

simplify6.0ms (0.2%)

Memory

6.0MiB live, 6.0MiB allocated

Algorithm

1×	egg-herbie

Rules

36×	`lower-*.f64`
36×	`lower-*.f32`
16×	`associate-r`
16×	`associate-l`
14×	`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))
(* 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))))
16
(+ 16 x)
(+ 16 x)
(+ 16 x)
x
(* x (+ 1 (* 16 (/ 1 x))))
(* x (+ 1 (* 16 (/ 1 x))))
(* x (+ 1 (* 16 (/ 1 x))))
x
(* x (+ 1 (* 16 (/ 1 x))))
(* x (+ 1 (* 16 (/ 1 x))))
(* x (+ 1 (* 16 (/ 1 x))))

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

rewrite328.0ms (13.2%)

Memory

-7.2MiB live, 225.5MiB allocated

Rules

2 667×	`lower-/.f32`
2 666×	`lower-/.f64`
1 709×	`lower-*.f64`
1 709×	`lower-*.f32`
1 380×	`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
(*.f64 (/.f64 (neg.f64 (fma.f64 x x #s(literal -256 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal -1/116 binary64) (-.f64 x #s(literal 16 binary64))))
(.f64 (/.f64 (neg.f64 (fma.f64 x x #s(literal -256 binary64))) (/.f64 (fma.f64 x x #s(literal -256 binary64)) (-.f64 #s(literal 256 binary64) (.f64 x x)))) (/.f64 #s(literal -1/116 binary64) (-.f64 #s(literal 16 binary64) x)))
(*.f64 (/.f64 (neg.f64 (fma.f64 x x #s(literal -256 binary64))) (-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal -256 binary64))) #s(literal 1 binary64))) (/.f64 #s(literal 1/116 binary64) (-.f64 x #s(literal 16 binary64))))
(.f64 (/.f64 (neg.f64 (fma.f64 x x #s(literal -256 binary64))) (/.f64 (neg.f64 (fma.f64 x x #s(literal -256 binary64))) (fma.f64 (.f64 x x) x #s(literal 4096 binary64)))) (/.f64 #s(literal 1/116 binary64) (fma.f64 x (-.f64 x #s(literal 16 binary64)) #s(literal 256 binary64))))
(.f64 (/.f64 (neg.f64 (fma.f64 x x #s(literal -256 binary64))) (/.f64 (fma.f64 x x #s(literal -256 binary64)) (fma.f64 (.f64 x x) x #s(literal 4096 binary64)))) (/.f64 #s(literal -1/116 binary64) (fma.f64 x (-.f64 x #s(literal 16 binary64)) #s(literal 256 binary64))))
(*.f64 (/.f64 (fma.f64 x x #s(literal -256 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1/116 binary64) (-.f64 x #s(literal 16 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 x x) x #s(literal 4096 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1/116 binary64) (fma.f64 x (-.f64 x #s(literal 16 binary64)) #s(literal 256 binary64))))
(.f64 (/.f64 (fma.f64 (neg.f64 x) (.f64 x x) #s(literal -4096 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1/116 binary64) (fma.f64 x (-.f64 x #s(literal 16 binary64)) #s(literal 256 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal -256 binary64)) (-.f64 #s(literal 256 binary64) (.f64 x x)))) (/.f64 (*.f64 (fma.f64 x x #s(literal -256 binary64)) #s(literal 1/116 binary64)) (-.f64 #s(literal 16 binary64) x)))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 x x #s(literal -256 binary64))) (fma.f64 (.f64 x x) x #s(literal 4096 binary64)))) (/.f64 (*.f64 (fma.f64 x x #s(literal -256 binary64)) #s(literal 1/116 binary64)) (neg.f64 (fma.f64 x (-.f64 x #s(literal 16 binary64)) #s(literal 256 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal -256 binary64)) (fma.f64 (.f64 x x) x #s(literal 4096 binary64)))) (/.f64 (*.f64 (fma.f64 x x #s(literal -256 binary64)) #s(literal 1/116 binary64)) (fma.f64 x (-.f64 x #s(literal 16 binary64)) #s(literal 256 binary64))))
(.f64 (/.f64 #s(literal 1/116 binary64) (/.f64 (fma.f64 x x #s(literal -256 binary64)) (-.f64 #s(literal 256 binary64) (.f64 x x)))) (/.f64 (fma.f64 x x #s(literal -256 binary64)) (-.f64 #s(literal 16 binary64) x)))
(*.f64 (/.f64 #s(literal 1/116 binary64) (-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal -256 binary64))) #s(literal 1 binary64))) (-.f64 #s(literal -16 binary64) x))
(.f64 (/.f64 #s(literal 1/116 binary64) (/.f64 (neg.f64 (fma.f64 x x #s(literal -256 binary64))) (fma.f64 (.f64 x x) x #s(literal 4096 binary64)))) (/.f64 (fma.f64 x x #s(literal -256 binary64)) (neg.f64 (fma.f64 x (-.f64 x #s(literal 16 binary64)) #s(literal 256 binary64)))))
(.f64 (/.f64 #s(literal 1/116 binary64) (/.f64 (fma.f64 x x #s(literal -256 binary64)) (fma.f64 (.f64 x x) x #s(literal 4096 binary64)))) (/.f64 (fma.f64 x x #s(literal -256 binary64)) (fma.f64 x (-.f64 x #s(literal 16 binary64)) #s(literal 256 binary64))))
(.f64 (/.f64 #s(literal 1/116 binary64) (fma.f64 (.f64 x x) x #s(literal -4096 binary64))) (/.f64 (fma.f64 x x #s(literal -256 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (fma.f64 #s(literal 16 binary64) x #s(literal 256 binary64))))))
(.f64 (/.f64 #s(literal 1/116 binary64) (fma.f64 x x #s(literal -256 binary64))) (.f64 (fma.f64 x x #s(literal -256 binary64)) (-.f64 x #s(literal -16 binary64))))
(.f64 (/.f64 #s(literal 1/116 binary64) (.f64 (fma.f64 x (-.f64 x #s(literal 16 binary64)) #s(literal 256 binary64)) (-.f64 (fma.f64 x x #s(literal -256 binary64)) (.f64 #s(literal -16 binary64) x)))) (/.f64 (fma.f64 (.f64 x x) x #s(literal 4096 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal -256 binary64)) (*.f64 #s(literal -16 binary64) x)))))
(.f64 (/.f64 #s(literal 1/116 binary64) (fma.f64 (.f64 (fma.f64 #s(literal -16 binary64) x #s(literal 256 binary64)) (fma.f64 #s(literal -16 binary64) x #s(literal 256 binary64))) (fma.f64 #s(literal -16 binary64) x #s(literal 256 binary64)) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (/.f64 (fma.f64 (.f64 x x) x #s(literal 4096 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -16 binary64) x #s(literal 256 binary64)) (-.f64 (fma.f64 #s(literal -16 binary64) x #s(literal 256 binary64)) (.f64 x x)) (.f64 (.f64 x x) (.f64 x x))))))
(.f64 (/.f64 (fma.f64 (.f64 x x) (*.f64 x x) #s(literal -65536 binary64)) #s(literal -116 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 256 binary64))) (-.f64 (neg.f64 x) #s(literal -16 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 x x) (*.f64 x x) #s(literal -65536 binary64)) #s(literal 116 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 256 binary64))) (-.f64 x #s(literal 16 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x) #s(literal -16777216 binary64)) #s(literal -116 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) x #s(literal -4096 binary64))) (neg.f64 (fma.f64 x (-.f64 x #s(literal 16 binary64)) #s(literal 256 binary64)))))
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(-.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (fma.f64 (.f64 x x) (.f64 x x) (fma.f64 #s(literal 256 binary64) (.f64 x x) #s(literal 65536 binary64)))) (-.f64 x #s(literal 16 binary64))) (/.f64 (/.f64 #s(literal 16777216 binary64) (fma.f64 (.f64 x x) (.f64 x x) (fma.f64 #s(literal 256 binary64) (*.f64 x x) #s(literal 65536 binary64)))) (-.f64 x #s(literal 16 binary64))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (fma.f64 (.f64 x x) x #s(literal -4096 binary64))) (fma.f64 x (-.f64 x #s(literal 16 binary64)) #s(literal 256 binary64))) (/.f64 (/.f64 #s(literal 16777216 binary64) (fma.f64 (*.f64 x x) x #s(literal -4096 binary64))) (fma.f64 x (-.f64 x #s(literal 16 binary64)) #s(literal 256 binary64))))
(-.f64 (/.f64 #s(literal 256 binary64) (-.f64 #s(literal 16 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal 16 binary64) x)))
(-.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 16 binary64)))) (/.f64 #s(literal 256 binary64) (-.f64 x #s(literal 16 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal -16 binary64) x) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal -16 binary64) x))
(-.f64 #s(literal 16 binary64) (neg.f64 x))
(-.f64 x #s(literal -16 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -16 binary64) x))) #s(literal -1 binary64)))
(+.f64 (/.f64 #s(literal 256 binary64) (-.f64 #s(literal 16 binary64) x)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 16 binary64) x))))
(+.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 16 binary64)))) (neg.f64 (/.f64 #s(literal 256 binary64) (-.f64 x #s(literal 16 binary64)))))
(+.f64 #s(literal 0 binary64) (-.f64 x #s(literal -16 binary64)))
(+.f64 #s(literal 16 binary64) x)
(+.f64 x #s(literal 16 binary64))

eval147.0ms (5.9%)

Memory: 32.7MiB live, 69.7MiB allocated
Compiler: Compiled 10 156 to 1 233 computations (87.9% saved)

prune122.0ms (4.9%)

Memory

-23.3MiB live, 121.4MiB 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))
▶	52.3%	#s(approx (/ (+ x 16) 116) (*.f64 x #s(literal 1/116 binary64)))
▶	48.9%	#s(approx (/ (+ x 16) 116) #s(literal 4/29 binary64))

Compiler

Compiled 25 to 19 computations (24% saved)

simplify5.0ms (0.2%)

Memory

3.0MiB live, 3.0MiB 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))

Rules

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

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)

localize51.0ms (2%)

Memory

-12.8MiB live, 26.3MiB 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	0.015625	(+.f64 (*.f64 x #s(literal 1/116 binary64)) #s(literal 4/29 binary64))
accuracy	0.06640625	(*.f64 x #s(literal 1/116 binary64))
accuracy	0.06640625	(*.f64 x #s(literal 1/116 binary64))
accuracy	30.501197463338958	#s(approx (/ (+ x 16) 116) (*.f64 x #s(literal 1/116 binary64)))
accuracy	32.67753710318017	#s(approx (/ (+ x 16) 116) #s(literal 4/29 binary64))

Samples

39.0ms

256×

valid

Compiler

Compiled 37 to 11 computations (70.3% saved)

Precisions

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

const: 25.0ms (80.2% of total)

ival-div: 2.0ms (6.4% of total)

ival-add: 2.0ms (6.4% of total)

ival-mult: 2.0ms (6.4% of total)

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

exact: 0.0ms (0% of total)

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

series3.0ms (0.1%)

Memory

1.4MiB live, 1.4MiB 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 (* 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) #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 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 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 #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 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 (* 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 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 4/29 (taylor 0 x) (#s(alt (+.f64 (.f64 x #s(literal 1/116 binary64)) #s(literal 4/29 binary64)) (patch (+.f64 (.f64 x #s(literal 1/116 binary64)) #s(literal 4/29 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 4/29 (* 1/116 x)) (taylor 0 x) (#s(alt (+.f64 (.f64 x #s(literal 1/116 binary64)) #s(literal 4/29 binary64)) (patch (+.f64 (.f64 x #s(literal 1/116 binary64)) #s(literal 4/29 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 4/29 (* 1/116 x)) (taylor 0 x) (#s(alt (+.f64 (.f64 x #s(literal 1/116 binary64)) #s(literal 4/29 binary64)) (patch (+.f64 (.f64 x #s(literal 1/116 binary64)) #s(literal 4/29 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 4/29 (* 1/116 x)) (taylor 0 x) (#s(alt (+.f64 (.f64 x #s(literal 1/116 binary64)) #s(literal 4/29 binary64)) (patch (+.f64 (.f64 x #s(literal 1/116 binary64)) #s(literal 4/29 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/116 x) (taylor inf x) (#s(alt (+.f64 (.f64 x #s(literal 1/116 binary64)) #s(literal 4/29 binary64)) (patch (+.f64 (.f64 x #s(literal 1/116 binary64)) #s(literal 4/29 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/116 (* 4/29 (/ 1 x)))) (taylor inf x) (#s(alt (+.f64 (.f64 x #s(literal 1/116 binary64)) #s(literal 4/29 binary64)) (patch (+.f64 (.f64 x #s(literal 1/116 binary64)) #s(literal 4/29 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/116 (* 4/29 (/ 1 x)))) (taylor inf x) (#s(alt (+.f64 (.f64 x #s(literal 1/116 binary64)) #s(literal 4/29 binary64)) (patch (+.f64 (.f64 x #s(literal 1/116 binary64)) #s(literal 4/29 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/116 (* 4/29 (/ 1 x)))) (taylor inf x) (#s(alt (+.f64 (.f64 x #s(literal 1/116 binary64)) #s(literal 4/29 binary64)) (patch (+.f64 (.f64 x #s(literal 1/116 binary64)) #s(literal 4/29 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/116 x) (taylor -inf x) (#s(alt (+.f64 (.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 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 (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 (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

15 calls:

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

simplify6.0ms (0.2%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

1×	egg-herbie

Rules

22×	`lower-*.f64`
22×	`lower-*.f32`
8×	`lower-fma.f64`
8×	`lower-fma.f32`
6×	`*-commutative`

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))
(* 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))))
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)
(* 1/116 x)
(* 1/116 x)
(* 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))
(* 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))))
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))))

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

rewrite482.0ms (19.4%)

Memory

-7.0MiB live, 267.3MiB allocated

Rules

2 824×	`lower-fma.f32`
2 823×	`lower-fma.f64`
2 433×	`lower-/.f64`
2 433×	`lower-/.f32`
1 963×	`lower-*.f32`

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
#s(approx (/ (+ x 16) 116) #s(literal 4/29 binary64))
#s(approx (/ (+ x 16) 116) (*.f64 #s(literal 1/116 binary64) x))
(*.f64 (exp.f64 (log.f64 #s(literal 1/116 binary64))) x)
(*.f64 #s(literal 1/116 binary64) x)
(*.f64 x (exp.f64 (log.f64 #s(literal 1/116 binary64))))
(*.f64 x #s(literal 1/116 binary64))
(pow.f64 (*.f64 #s(literal 1/116 binary64) x) #s(literal 1 binary64))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 1/116 binary64) x)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 #s(literal 1/116 binary64) x)))
(.f64 (pow.f64 (/.f64 (fma.f64 x (-.f64 (.f64 #s(literal 1/13456 binary64) x) #s(literal 1/841 binary64)) #s(literal 16/841 binary64)) (fma.f64 #s(literal 1/2436396322816 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) #s(literal -4096/594823321 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/1560896 binary64)) #s(literal -64/24389 binary64))))
(.f64 (pow.f64 (/.f64 (fma.f64 x (-.f64 (.f64 #s(literal 1/13456 binary64) x) #s(literal 1/841 binary64)) #s(literal 16/841 binary64)) (fma.f64 #s(literal 1/3802961274698203136 binary64) (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x)) #s(literal 262144/14507145975869 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2436396322816 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (-.f64 #s(literal 4096/594823321 binary64) (.f64 #s(literal 1/594823321 binary64) (.f64 (.f64 x x) x))))))
(.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 1/116 binary64) x #s(literal -4/29 binary64)) (fma.f64 #s(literal 1/181063936 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -256/707281 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/13456 binary64) x) x #s(literal 16/841 binary64))))
(.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 1/116 binary64) x #s(literal -4/29 binary64)) (fma.f64 #s(literal 1/2436396322816 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) #s(literal -4096/594823321 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/181063936 binary64) (.f64 (.f64 x x) (.f64 x x)) (fma.f64 #s(literal 1/707281 binary64) (.f64 x x) #s(literal 256/707281 binary64)))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 x x #s(literal -256 binary64)) #s(literal 1/116 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 16 binary64))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (*.f64 x x) x #s(literal 4096 binary64)) #s(literal 1/116 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x #s(literal 16 binary64)) #s(literal 256 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal -116 binary64) (fma.f64 x x #s(literal -256 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x #s(literal 16 binary64)))))
(.f64 (pow.f64 (/.f64 #s(literal -116 binary64) (fma.f64 (.f64 x x) x #s(literal 4096 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (-.f64 x #s(literal 16 binary64)) #s(literal 256 binary64)))))
(.f64 (pow.f64 (/.f64 #s(literal 116 binary64) (-.f64 #s(literal 256 binary64) (.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) x)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 16 binary64) x)) #s(literal -1 binary64)) #s(literal -1/116 binary64))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) x #s(literal 4096 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (-.f64 x #s(literal 16 binary64)) #s(literal 256 binary64)) #s(literal 116 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -256 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/13456 binary64) x) x #s(literal -16/841 binary64)) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/1560896 binary64)) #s(literal -64/24389 binary64))) (fma.f64 (*.f64 #s(literal 1/13456 binary64) x) x (fma.f64 #s(literal 1/841 binary64) x #s(literal 16/841 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/1560896 binary64) (.f64 x x)) x #s(literal 64/24389 binary64)) (.f64 (fma.f64 x (-.f64 (.f64 #s(literal 1/13456 binary64) x) #s(literal 1/841 binary64)) #s(literal 16/841 binary64)) (-.f64 (fma.f64 (.f64 #s(literal 1/13456 binary64) x) x #s(literal -16/841 binary64)) (.f64 x #s(literal -1/841 binary64))))) (-.f64 (fma.f64 (.f64 #s(literal 1/13456 binary64) x) x #s(literal -16/841 binary64)) (*.f64 x #s(literal -1/841 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/1560896 binary64) (.f64 x x)) x #s(literal 64/24389 binary64)) (fma.f64 (.f64 (fma.f64 x #s(literal -1/841 binary64) #s(literal 16/841 binary64)) (fma.f64 x #s(literal -1/841 binary64) #s(literal 16/841 binary64))) (fma.f64 x #s(literal -1/841 binary64) #s(literal 16/841 binary64)) (.f64 #s(literal 1/2436396322816 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x))))) (fma.f64 (fma.f64 x #s(literal -1/841 binary64) #s(literal 16/841 binary64)) (-.f64 (fma.f64 x #s(literal -1/841 binary64) #s(literal 16/841 binary64)) (.f64 #s(literal 1/13456 binary64) (.f64 x x))) (.f64 #s(literal 1/181063936 binary64) (.f64 (.f64 x x) (.f64 x x)))))
(.f64 (/.f64 (.f64 (fma.f64 x x #s(literal -256 binary64)) #s(literal 1/116 binary64)) (fma.f64 (*.f64 x x) x #s(literal -4096 binary64))) (fma.f64 x x (fma.f64 #s(literal 16 binary64) x #s(literal 256 binary64))))
(.f64 (/.f64 (.f64 (fma.f64 x x #s(literal -256 binary64)) #s(literal 1/116 binary64)) (fma.f64 x x #s(literal -256 binary64))) (+.f64 #s(literal 16 binary64) x))
(.f64 (/.f64 (.f64 (fma.f64 (.f64 x x) x #s(literal 4096 binary64)) #s(literal 1/116 binary64)) (.f64 (fma.f64 x (-.f64 x #s(literal 16 binary64)) #s(literal 256 binary64)) (-.f64 (fma.f64 x x #s(literal -256 binary64)) (.f64 #s(literal -16 binary64) x)))) (-.f64 (fma.f64 x x #s(literal -256 binary64)) (.f64 #s(literal -16 binary64) x)))
(.f64 (/.f64 (.f64 (fma.f64 (.f64 x x) x #s(literal 4096 binary64)) #s(literal 1/116 binary64)) (fma.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) x)) x (.f64 (.f64 (fma.f64 #s(literal -16 binary64) x #s(literal 256 binary64)) (fma.f64 #s(literal -16 binary64) x #s(literal 256 binary64))) (fma.f64 #s(literal -16 binary64) x #s(literal 256 binary64))))) (fma.f64 (fma.f64 #s(literal -16 binary64) x #s(literal 256 binary64)) (-.f64 (fma.f64 #s(literal -16 binary64) x #s(literal 256 binary64)) (.f64 x x)) (.f64 (.f64 x x) (*.f64 x x))))
(.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/13456 binary64) x) x #s(literal -16/841 binary64)) (fma.f64 (*.f64 #s(literal 1/13456 binary64) x) x #s(literal -16/841 binary64))) (fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 116 binary64) (fma.f64 x x #s(literal -256 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 16 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 116 binary64) (fma.f64 (.f64 x x) x #s(literal 4096 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x #s(literal 16 binary64)) #s(literal 256 binary64))))
(.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal -16 binary64) x)) #s(literal -1/116 binary64))
(*.f64 (pow.f64 (fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64)) #s(literal 1/2 binary64)) (pow.f64 (fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64)) #s(literal 1/2 binary64)))
(.f64 (.f64 (fma.f64 x x #s(literal -256 binary64)) #s(literal 1/116 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 16 binary64))))
(.f64 (.f64 (fma.f64 (*.f64 x x) x #s(literal 4096 binary64)) #s(literal 1/116 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x #s(literal 16 binary64)) #s(literal 256 binary64))))
(.f64 (-.f64 #s(literal 16/841 binary64) (.f64 #s(literal 1/13456 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 4/29 binary64) (.f64 #s(literal 1/116 binary64) x))))
(.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/116 binary64) x #s(literal 4/29 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 1/13456 binary64) x) x #s(literal -16/841 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/116 binary64) x #s(literal 4/29 binary64))) (fma.f64 (.f64 #s(literal 1/13456 binary64) x) x #s(literal -16/841 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (.f64 #s(literal 1/13456 binary64) x) #s(literal 1/841 binary64)) #s(literal 16/841 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 1/1560896 binary64) (.f64 x x)) x #s(literal 64/24389 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (.f64 #s(literal 1/13456 binary64) x) #s(literal 1/841 binary64)) #s(literal 16/841 binary64))) (fma.f64 (.f64 #s(literal 1/1560896 binary64) (.f64 x x)) x #s(literal 64/24389 binary64)))
(*.f64 #s(literal -1/116 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 16 binary64) x)) #s(literal -1 binary64)))
(*.f64 #s(literal -1/116 binary64) (-.f64 #s(literal -16 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 16 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 116 binary64) (fma.f64 x x #s(literal -256 binary64)))))
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(-.f64 (/.f64 (/.f64 (.f64 (.f64 x x) (*.f64 x x)) (fma.f64 x x #s(literal 256 binary64))) (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64))) (/.f64 (/.f64 #s(literal 65536 binary64) (fma.f64 x x #s(literal 256 binary64))) (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (fma.f64 (.f64 x x) (.f64 x x) (fma.f64 #s(literal 256 binary64) (.f64 x x) #s(literal 65536 binary64)))) (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64))) (/.f64 (/.f64 #s(literal 16777216 binary64) (fma.f64 (.f64 x x) (.f64 x x) (fma.f64 #s(literal 256 binary64) (*.f64 x x) #s(literal 65536 binary64)))) (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64))))
(-.f64 (/.f64 (/.f64 (.f64 #s(literal 1/2436396322816 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x))) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/1560896 binary64)) #s(literal -64/24389 binary64))) (fma.f64 x (-.f64 (.f64 #s(literal 1/13456 binary64) x) #s(literal 1/841 binary64)) #s(literal 16/841 binary64))) (/.f64 (/.f64 #s(literal 4096/594823321 binary64) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/1560896 binary64)) #s(literal -64/24389 binary64))) (fma.f64 x (-.f64 (.f64 #s(literal 1/13456 binary64) x) #s(literal 1/841 binary64)) #s(literal 16/841 binary64))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (fma.f64 (.f64 x x) x #s(literal -4096 binary64))) (.f64 #s(literal -116 binary64) (neg.f64 (fma.f64 x (-.f64 x #s(literal 16 binary64)) #s(literal 256 binary64))))) (/.f64 (/.f64 #s(literal 16777216 binary64) (fma.f64 (.f64 x x) x #s(literal -4096 binary64))) (*.f64 #s(literal -116 binary64) (neg.f64 (fma.f64 x (-.f64 x #s(literal 16 binary64)) #s(literal 256 binary64))))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (fma.f64 (.f64 x x) x #s(literal -4096 binary64))) (.f64 (fma.f64 x (-.f64 x #s(literal 16 binary64)) #s(literal 256 binary64)) #s(literal 116 binary64))) (/.f64 (/.f64 #s(literal 16777216 binary64) (fma.f64 (.f64 x x) x #s(literal -4096 binary64))) (*.f64 (fma.f64 x (-.f64 x #s(literal 16 binary64)) #s(literal 256 binary64)) #s(literal 116 binary64))))
(-.f64 (/.f64 (/.f64 (*.f64 x x) (neg.f64 (-.f64 x #s(literal 16 binary64)))) #s(literal -116 binary64)) (/.f64 (/.f64 #s(literal 256 binary64) (neg.f64 (-.f64 x #s(literal 16 binary64)))) #s(literal -116 binary64)))
(-.f64 (/.f64 (neg.f64 x) #s(literal -116 binary64)) #s(literal -4/29 binary64))
(-.f64 (/.f64 (/.f64 #s(literal 256 binary64) (-.f64 #s(literal 16 binary64) x)) #s(literal 116 binary64)) (/.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 16 binary64) x)) #s(literal 116 binary64)))
(-.f64 (/.f64 #s(literal 16/841 binary64) (-.f64 #s(literal 4/29 binary64) (.f64 #s(literal 1/116 binary64) x))) (/.f64 (.f64 #s(literal 1/13456 binary64) (.f64 x x)) (-.f64 #s(literal 4/29 binary64) (.f64 #s(literal 1/116 binary64) x))))
(-.f64 (/.f64 (*.f64 x x) (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64))) (/.f64 #s(literal 256 binary64) (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64))))
(-.f64 (/.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 16 binary64)))) #s(literal 116 binary64)) (/.f64 (/.f64 #s(literal 256 binary64) (-.f64 x #s(literal 16 binary64))) #s(literal 116 binary64)))
(-.f64 (.f64 (.f64 #s(literal 1/13456 binary64) x) (/.f64 x (fma.f64 #s(literal 1/116 binary64) x #s(literal -4/29 binary64)))) (/.f64 #s(literal -16/841 binary64) (fma.f64 #s(literal -1/116 binary64) x #s(literal 4/29 binary64))))
(-.f64 #s(literal 0 binary64) (*.f64 (+.f64 #s(literal 16 binary64) x) #s(literal -1/116 binary64)))
(-.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal -116 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64)))) #s(literal -1 binary64)))
(+.f64 (.f64 (.f64 #s(literal 1/13456 binary64) x) (/.f64 x (fma.f64 #s(literal 1/116 binary64) x #s(literal -4/29 binary64)))) (neg.f64 (/.f64 #s(literal -16/841 binary64) (fma.f64 #s(literal -1/116 binary64) x #s(literal 4/29 binary64)))))
(+.f64 (*.f64 #s(literal 1/116 binary64) x) #s(literal 4/29 binary64))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 1/116 binary64) x))

eval174.0ms (7%)

Memory: -6.2MiB live, 68.1MiB allocated
Compiler: Compiled 12 298 to 793 computations (93.6% saved)

prune81.0ms (3.2%)

Memory

28.3MiB live, 70.9MiB 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))
✓	52.3%	#s(approx (/ (+ x 16) 116) (*.f64 x #s(literal 1/116 binary64)))
✓	48.9%	#s(approx (/ (+ x 16) 116) #s(literal 4/29 binary64))

Compiler

Compiled 46 to 29 computations (37% saved)

regimes53.0ms (2.1%)

Memory

-24.4MiB live, 13.0MiB 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:

48.0ms	(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))
2.0ms	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 12 to 9 computations (25% saved)

regimes6.0ms (0.2%)

Memory

10.7MiB live, 10.7MiB 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:

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 12 to 9 computations (25% saved)

regimes5.0ms (0.2%)

Memory

10.3MiB live, 10.3MiB 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	(+.f64 x #s(literal 16 binary64))
1.0ms	x
1.0ms	(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))

Results

Accuracy	Segments	Branch
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 12 to 9 computations (25% saved)

regimes4.0ms (0.2%)

Memory

9.3MiB live, 9.3MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
48.9%	1	`x`
48.9%	1	`(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))`
48.9%	1	`(+.f64 x #s(literal 16 binary64))`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	16.0000000014141	391820.2008485992
0.0ms	-3.382515671759375	8.47692282147166

Compiler

Compiled 9 to 9 computations (0% saved)

simplify51.0ms (2.1%)

Memory

-30.7MiB live, 7.0MiB allocated

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`
1×	`+-commutative_binary64`

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 -2 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 -2 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 -2 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))

soundness180.0ms (7.2%)

Memory

7.8MiB live, 96.3MiB allocated

Rules

2 667×	`lower-/.f32`
2 666×	`lower-/.f64`
1 709×	`lower-*.f64`
1 709×	`lower-*.f32`
1 380×	`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 52 to 30 computations (42.3% saved)

preprocess119.0ms (4.8%)

Memory: 6.3MiB live, 80.2MiB allocated
Compiler: Compiled 80 to 40 computations (50% 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%)

sample540.0ms (21.7%)

explain85.0ms (3.4%)

preprocess16.0ms (0.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify3.0ms (0.1%)

localize20.0ms (0.8%)

series2.0ms (0.1%)

simplify6.0ms (0.2%)

rewrite328.0ms (13.2%)

eval147.0ms (5.9%)

prune122.0ms (4.9%)

simplify5.0ms (0.2%)

localize51.0ms (2%)

series3.0ms (0.1%)

simplify6.0ms (0.2%)

rewrite482.0ms (19.4%)

eval174.0ms (7%)

prune81.0ms (3.2%)

regimes53.0ms (2.1%)

regimes6.0ms (0.2%)

regimes5.0ms (0.2%)

regimes4.0ms (0.2%)

bsearch0.0ms (0%)

simplify51.0ms (2.1%)

soundness180.0ms (7.2%)

preprocess119.0ms (4.8%)

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