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)

sample710.0ms (30.1%)

Memory

6.1MiB live, 726.3MiB allocated

Samples

349.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 131.0ms

ival-div: 67.0ms (51.3% of total)

ival-add: 48.0ms (36.8% of total)

exact: 7.0ms (5.4% of total)

ival-true: 5.0ms (3.8% of total)

ival-assert: 3.0ms (2.3% of total)

Bogosity

explain65.0ms (2.8%)

Memory

-19.5MiB live, 56.8MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	1

Precision?

0/0

Recall?

0/0

Samples

25.0ms

512×

valid

Compiler

Compiled 32 to 19 computations (40.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-div: 4.0ms (53.8% of total)

ival-add: 3.0ms (40.3% of total)

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

exact: 0.0ms (0% of total)

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

preprocess21.0ms (0.9%)

Memory

3.8MiB live, 41.6MiB 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))

Compiler

Compiled 6 to 5 computations (16.7% saved)

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

1.5MiB live, 1.5MiB 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)

simplify4.0ms (0.2%)

Memory

8.0MiB live, 8.0MiB 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 x #s(literal 16 binary64))
x
#s(literal 16 binary64)
#s(literal 116 binary64)

localize17.0ms (0.7%)

Memory

-18.5MiB live, 26.0MiB allocated

Localize:

Found 2 expressions of interest:

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

Samples

11.0ms

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 (54.6% of total)

ival-add: 1.0ms (27.3% of total)

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

exact: 0.0ms (0% of total)

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

series2.0ms (0.1%)

Memory

1.8MiB live, 1.8MiB 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)

simplify7.0ms (0.3%)

Memory

6.7MiB live, 6.7MiB 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))
(* 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 #s(literal 1/116 binary64) x #s(literal 4/29 binary64))
(+ 4/29 (* 1/116 x))
(fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64))
(+ 4/29 (* 1/116 x))
(fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64))
(* 1/116 x)
(*.f64 #s(literal 1/116 binary64) x)
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64))
(* 1/116 x)
(*.f64 #s(literal 1/116 binary64) x)
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64))
16
#s(literal 16 binary64)
(+ 16 x)
(+.f64 x #s(literal 16 binary64))
(+ 16 x)
(+.f64 x #s(literal 16 binary64))
(+ 16 x)
(+.f64 x #s(literal 16 binary64))
x
(* x (+ 1 (* 16 (/ 1 x))))
(+.f64 x #s(literal 16 binary64))
(* x (+ 1 (* 16 (/ 1 x))))
(+.f64 x #s(literal 16 binary64))
(* x (+ 1 (* 16 (/ 1 x))))
(+.f64 x #s(literal 16 binary64))
x
(* x (+ 1 (* 16 (/ 1 x))))
(+.f64 x #s(literal 16 binary64))
(* x (+ 1 (* 16 (/ 1 x))))
(+.f64 x #s(literal 16 binary64))
(* x (+ 1 (* 16 (/ 1 x))))
(+.f64 x #s(literal 16 binary64))

rewrite223.0ms (9.4%)

Memory

36.7MiB live, 383.1MiB 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
(+.f64 #s(literal 0 binary64) (fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64)))
(+.f64 (.f64 (/.f64 (.f64 x x) (+.f64 x #s(literal -16 binary64))) #s(literal 1/116 binary64)) (neg.f64 (*.f64 (/.f64 #s(literal 256 binary64) (+.f64 x #s(literal -16 binary64))) #s(literal 1/116 binary64))))
(+.f64 (/.f64 (*.f64 x x) (fma.f64 x #s(literal 116 binary64) #s(literal -1856 binary64))) (neg.f64 (/.f64 #s(literal 256 binary64) (fma.f64 x #s(literal 116 binary64) #s(literal -1856 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))
(+.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal 1/116 binary64)))
(+.f64 (*.f64 x #s(literal 1/116 binary64)) #s(literal 4/29 binary64))
(exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (+.f64 x #s(literal 16 binary64)) #s(literal -1/116 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (+.f64 x #s(literal 16 binary64)) #s(literal -1/116 binary64)) #s(literal 1 binary64)))
(-.f64 (.f64 (/.f64 (.f64 x x) (+.f64 x #s(literal -16 binary64))) #s(literal 1/116 binary64)) (*.f64 (/.f64 #s(literal 256 binary64) (+.f64 x #s(literal -16 binary64))) #s(literal 1/116 binary64)))
(-.f64 (/.f64 (*.f64 x x) (fma.f64 x #s(literal 116 binary64) #s(literal -1856 binary64))) (/.f64 #s(literal 256 binary64) (fma.f64 x #s(literal 116 binary64) #s(literal -1856 binary64))))
(-.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal -116 binary64)))
(-.f64 (/.f64 (.f64 (/.f64 (.f64 x x) (+.f64 x #s(literal -16 binary64))) #s(literal 1/116 binary64)) #s(literal 1 binary64)) (/.f64 (*.f64 (/.f64 #s(literal 256 binary64) (+.f64 x #s(literal -16 binary64))) #s(literal 1/116 binary64)) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (*.f64 x x) (fma.f64 x #s(literal 116 binary64) #s(literal -1856 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 256 binary64) (fma.f64 x #s(literal 116 binary64) #s(literal -1856 binary64))) #s(literal 1 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 (neg.f64 x) #s(literal -116 binary64)) #s(literal -4/29 binary64))
(-.f64 (/.f64 (/.f64 (*.f64 x x) (+.f64 (neg.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 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (fma.f64 x (.f64 x x) #s(literal -4096 binary64))) (.f64 #s(literal 116 binary64) (fma.f64 x (+.f64 x #s(literal -16 binary64)) #s(literal 256 binary64)))) (/.f64 (/.f64 #s(literal 16777216 binary64) (fma.f64 x (.f64 x x) #s(literal -4096 binary64))) (*.f64 #s(literal 116 binary64) (fma.f64 x (+.f64 x #s(literal -16 binary64)) #s(literal 256 binary64)))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (fma.f64 x (.f64 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 x (.f64 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 x (.f64 x x)) (.f64 x (.f64 x x))) (fma.f64 x (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 256 binary64)) #s(literal 65536 binary64)))) (fma.f64 x #s(literal 116 binary64) #s(literal -1856 binary64))) (/.f64 (/.f64 #s(literal 16777216 binary64) (fma.f64 x (.f64 x (.f64 x x)) (fma.f64 x (*.f64 x #s(literal 256 binary64)) #s(literal 65536 binary64)))) (fma.f64 x #s(literal 116 binary64) #s(literal -1856 binary64))))
(-.f64 (/.f64 (/.f64 (.f64 x (.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 256 binary64))) (fma.f64 x #s(literal 116 binary64) #s(literal -1856 binary64))) (/.f64 (/.f64 #s(literal 65536 binary64) (fma.f64 x x #s(literal 256 binary64))) (fma.f64 x #s(literal 116 binary64) #s(literal -1856 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (.f64 #s(literal 116 binary64) (fma.f64 x (+.f64 x #s(literal -16 binary64)) #s(literal 256 binary64))))) (/.f64 (fma.f64 x (.f64 x x) #s(literal 4096 binary64)) (neg.f64 (*.f64 #s(literal 116 binary64) (fma.f64 x (+.f64 x #s(literal -16 binary64)) #s(literal 256 binary64))))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 #s(literal -116 binary64) (fma.f64 x (+.f64 x #s(literal -16 binary64)) #s(literal 256 binary64)))) (.f64 (+.f64 x #s(literal 16 binary64)) #s(literal -1/116 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 #s(literal 116 binary64) (neg.f64 (fma.f64 x (+.f64 x #s(literal -16 binary64)) #s(literal 256 binary64))))) (/.f64 (fma.f64 x (.f64 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 0 binary64) (neg.f64 (fma.f64 x #s(literal 116 binary64) #s(literal -1856 binary64)))) (*.f64 (+.f64 x #s(literal 16 binary64)) #s(literal -1/116 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 #s(literal -116 binary64) (+.f64 x #s(literal -16 binary64)))) (.f64 (+.f64 x #s(literal 16 binary64)) #s(literal -1/116 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 #s(literal 116 binary64) (+.f64 (neg.f64 x) #s(literal 16 binary64)))) (/.f64 (fma.f64 x x #s(literal -256 binary64)) (.f64 #s(literal 116 binary64) (+.f64 (neg.f64 x) #s(literal 16 binary64)))))
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(.f64 (/.f64 (fma.f64 (.f64 x x) (*.f64 x x) #s(literal -65536 binary64)) #s(literal 1 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 x x) (.f64 x x) #s(literal -65536 binary64)) (/.f64 (fma.f64 x x #s(literal -256 binary64)) (fma.f64 (.f64 x x) (neg.f64 x) #s(literal -4096 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (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 (fma.f64 (.f64 x x) (*.f64 x x) #s(literal -65536 binary64)) (-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal -256 binary64))) #s(literal 1 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)) (/.f64 (fma.f64 x x #s(literal -256 binary64)) (-.f64 #s(literal 256 binary64) (.f64 x x)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 256 binary64))) (-.f64 #s(literal 16 binary64) x)))
(.f64 (/.f64 (fma.f64 x x #s(literal -256 binary64)) (/.f64 (fma.f64 x x #s(literal -256 binary64)) (fma.f64 x (.f64 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 (fma.f64 x x #s(literal -256 binary64)) (/.f64 (fma.f64 x x #s(literal -256 binary64)) (fma.f64 (.f64 x x) (neg.f64 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 (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 binary64) (+.f64 x #s(literal -16 binary64))))
(.f64 (/.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 binary64) (-.f64 #s(literal 16 binary64) x)))

eval159.0ms (6.8%)

Memory: -29.1MiB live, 105.1MiB allocated
Compiler: Compiled 10 156 to 1 234 computations (87.8% saved)

prune104.0ms (4.4%)

Memory

-1.0MiB live, 115.5MiB allocated

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	435	3	438
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	435	4	439

Accuracy

100.0%

Counts

439 → 4

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))
▶	48.5%	#s(approx (/ (+ x 16) 116) (*.f64 #s(literal 1/116 binary64) x))
▶	53.4%	#s(approx (/ (+ x 16) 116) #s(literal 4/29 binary64))

Compiler

Compiled 19 to 14 computations (26.3% saved)

simplify5.0ms (0.2%)

Memory

6.0MiB live, 6.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	29
0	14	29
1	17	29
0	17	29

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

localize52.0ms (2.2%)

Memory

-5.7MiB live, 38.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0390625	(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
accuracy	0.0703125	(*.f64 #s(literal 1/116 binary64) x)
accuracy	32.91130068783157	#s(approx (/ (+ x 16) 116) (*.f64 #s(literal 1/116 binary64) x))
accuracy	29.83974728960513	#s(approx (/ (+ x 16) 116) #s(literal 4/29 binary64))

Samples

43.0ms

256×

valid

Compiler

Compiled 26 to 12 computations (53.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 35.0ms

ival-div: 24.0ms (67.6% of total)

const: 6.0ms (16.9% of total)

ival-add: 3.0ms (8.5% of total)

ival-mult: 3.0ms (8.5% 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

6.5MiB live, 6.5MiB allocated

Counts

4 → 48

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

12 calls:

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

simplify7.0ms (0.3%)

Memory

12.9MiB live, 13.0MiB 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	192
1	24	192
2	37	192
3	49	192
4	49	192
5	64	192
6	70	192
7	74	192
8	74	192
0	74	165

Stop Event

1×	iter limit
1×	saturated

Counts

48 → 48

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))))

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

rewrite432.0ms (18.3%)

Memory

3.0MiB live, 265.8MiB allocated

Rules

5 648×	`lower-fma.f32`
5 646×	`lower-fma.f64`
4 866×	`lower-/.f64`
4 866×	`lower-/.f32`
3 926×	`lower-*.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	23
0	14	24
1	55	24
2	318	21
3	2629	21
0	9065	21

Stop Event

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

Counts

4 → 273

Calls

Call 1

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

eval115.0ms (4.9%)

Memory: -25.7MiB live, 61.9MiB allocated
Compiler: Compiled 6 198 to 786 computations (87.3% saved)

prune128.0ms (5.4%)

Memory

8.2MiB live, 82.7MiB allocated

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	321	0	321
Fresh	0	0	0
Picked	0	3	3
Done	0	1	1
Total	321	4	325

Accuracy

100.0%

Counts

325 → 4

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))
✓	48.5%	#s(approx (/ (+ x 16) 116) (*.f64 #s(literal 1/116 binary64) x))
✓	53.4%	#s(approx (/ (+ x 16) 116) #s(literal 4/29 binary64))

Compiler

Compiled 35 to 23 computations (34.3% saved)

regimes6.0ms (0.3%)

Memory

11.9MiB live, 11.9MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

10.4MiB live, 10.4MiB allocated

Counts

3 → 1

Calls

Call 1

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

8.1MiB live, 8.1MiB allocated

Counts

2 → 3

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
98.4%	3	`x`
98.4%	3	`(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))`
98.4%	3	`(+.f64 x #s(literal 16 binary64))`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes69.0ms (2.9%)

Memory

-30.2MiB live, 19.1MiB 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:

66.0ms	(+.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
53.4%	1	`x`
53.4%	1	`(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))`
53.4%	1	`(+.f64 x #s(literal 16 binary64))`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	16.233044611843138	1205182.9393921867
0.0ms	-3891.2320195816783	15.99998941269018

Compiler

Compiled 9 to 9 computations (0% saved)

simplify7.0ms (0.3%)

Memory

10.5MiB live, 10.5MiB allocated

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64`
2×	`+-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 -2000 binary64)) #s(approx (/ (+ x 16) 116) (.f64 #s(literal 1/116 binary64) x)) (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 #s(literal 1/116 binary64) x))))
#s(approx (/ (+ x 16) 116) #s(literal 4/29 binary64))

Outputs
(/.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 -2000 binary64)) #s(approx (/ (+ x 16) 116) (.f64 #s(literal 1/116 binary64) x)) (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 #s(literal 1/116 binary64) x))))
(if (<=.f64 (+.f64 x #s(literal 16 binary64)) #s(literal -2000 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))

soundness139.0ms (5.9%)

Memory

-14.0MiB live, 95.0MiB 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 52 to 30 computations (42.3% saved)

preprocess75.0ms (3.2%)

Memory: 6.8MiB live, 92.0MiB allocated
Compiler: Compiled 80 to 40 computations (50% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	10	192
1	24	192
2	37	192
3	49	192
4	49	192
5	64	192
6	70	192
7	74	192
8	74	192
0	74	165

Iter	Nodes	Cost
0	10	192
1	24	192
2	37	192
3	49	192
4	49	192
5	64	192
6	70	192
7	74	192
8	74	192
0	74	165

start0.0ms (0%)

analyze0.0ms (0%)

sample710.0ms (30.1%)

explain65.0ms (2.8%)

preprocess21.0ms (0.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0.2%)

localize17.0ms (0.7%)

series2.0ms (0.1%)

simplify7.0ms (0.3%)

rewrite223.0ms (9.4%)

eval159.0ms (6.8%)

prune104.0ms (4.4%)

simplify5.0ms (0.2%)

localize52.0ms (2.2%)

series3.0ms (0.1%)

simplify7.0ms (0.3%)

rewrite432.0ms (18.3%)

eval115.0ms (4.9%)

prune128.0ms (5.4%)

regimes6.0ms (0.3%)

regimes6.0ms (0.2%)

regimes5.0ms (0.2%)

regimes69.0ms (2.9%)

bsearch0.0ms (0%)

simplify7.0ms (0.3%)

soundness139.0ms (5.9%)

preprocess75.0ms (3.2%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	10	192
1	24	192
2	37	192
3	49	192
4	49	192
5	64	192
6	70	192
7	74	192
8	74	192
0	74	165