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

analyze0.0ms (0%)

Memory

0.5MiB live, 0.5MiB 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)

sample865.0ms (29.5%)

Memory

9.7MiB live, 736.1MiB allocated

Samples

632.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 277.0ms

ival-div: 132.0ms (47.7% of total)

ival-add: 129.0ms (46.7% of total)

exact: 7.0ms (2.5% of total)

ival-true: 6.0ms (2.2% of total)

ival-assert: 3.0ms (1.1% of total)

Bogosity

preprocess33.0ms (1.1%)

Memory

4.6MiB live, 42.5MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	12
1	19	10
2	34	10
3	75	10
4	161	10
5	240	10
6	258	10
7	262	10
0	5	5
0	7	5
1	8	5
0	8	5

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

Calls

Call 1

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

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

explain176.0ms (6%)

Memory

-19.0MiB live, 100.3MiB 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

135.0ms

512×

valid

Compiler

Compiled 38 to 24 computations (36.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 125.0ms

ival-div: 121.0ms (97% of total)

ival-add: 3.0ms (2.4% of total)

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

exact: 0.0ms (0% of total)

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.2MiB live, 1.2MiB 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)

simplify5.0ms (0.2%)

Memory

6.5MiB live, 6.5MiB 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)

localize179.0ms (6.1%)

Memory

-14.6MiB live, 24.7MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))
✓	accuracy	100.0%	(+.f64 x #s(literal 16 binary64))

Samples

9.0ms

256×

valid

Compiler

Compiled 13 to 7 computations (46.2% saved)

Precisions

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

ival-div: 2.0ms (54.4% of total)

ival-add: 1.0ms (27.2% of total)

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

exact: 0.0ms (0% of total)

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

series1.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated

Counts

2 → 24

Calls

Call 1

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

Outputs
#<alt 4/29>
#<alt (+ 4/29 (* 1/116 x))>
#<alt (+ 4/29 (* 1/116 x))>
#<alt (+ 4/29 (* 1/116 x))>
#<alt (* 1/116 x)>
#<alt (* x (+ 1/116 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 1/116 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 1/116 (* 4/29 (/ 1 x))))>
#<alt (* 1/116 x)>
#<alt (* x (+ 1/116 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 1/116 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 1/116 (* 4/29 (/ 1 x))))>
#<alt 16>
#<alt (+ 16 x)>
#<alt (+ 16 x)>
#<alt (+ 16 x)>
#<alt x>
#<alt (* x (+ 1 (* 16 (/ 1 x))))>
#<alt (* x (+ 1 (* 16 (/ 1 x))))>
#<alt (* x (+ 1 (* 16 (/ 1 x))))>
#<alt x>
#<alt (* x (+ 1 (* 16 (/ 1 x))))>
#<alt (* x (+ 1 (* 16 (/ 1 x))))>
#<alt (* x (+ 1 (* 16 (/ 1 x))))>

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)

rewrite472.0ms (16.1%)

Memory

12.9MiB live, 420.5MiB allocated

Algorithm

1×	batch-egg-rewrite

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)))))
(-.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 x (.f64 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 x (*.f64 x #s(literal 256 binary64)) #s(literal 65536 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)))))
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (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)))))
(fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64))
(fma.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))))
(fma.f64 (/.f64 x (+.f64 x #s(literal -16 binary64))) (/.f64 x #s(literal 116 binary64)) (neg.f64 (/.f64 #s(literal 256 binary64) (fma.f64 x #s(literal 116 binary64) #s(literal -1856 binary64)))))
(fma.f64 (/.f64 x #s(literal 116 binary64)) (/.f64 x (+.f64 x #s(literal -16 binary64))) (neg.f64 (/.f64 #s(literal 256 binary64) (fma.f64 x #s(literal 116 binary64) #s(literal -1856 binary64)))))
(neg.f64 (*.f64 (+.f64 x #s(literal 16 binary64)) #s(literal -1/116 binary64)))
(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))
(/.f64 (fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal -16 binary64) x) #s(literal -116 binary64))
(/.f64 (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 (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 (fma.f64 x (.f64 x x) #s(literal 4096 binary64)) (neg.f64 (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 (fma.f64 x (.f64 x x) #s(literal 4096 binary64)) (neg.f64 (.f64 #s(literal 116 binary64) (neg.f64 (fma.f64 x (+.f64 x #s(literal -16 binary64)) #s(literal 256 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 116 binary64) (+.f64 x #s(literal 16 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -116 binary64) (neg.f64 (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 1 binary64) (/.f64 (.f64 #s(literal -116 binary64) (fma.f64 x (+.f64 x #s(literal -16 binary64)) #s(literal 256 binary64))) (fma.f64 (.f64 x x) (neg.f64 x) #s(literal -4096 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 116 binary64) (neg.f64 (fma.f64 x (+.f64 x #s(literal -16 binary64)) #s(literal 256 binary64)))) (fma.f64 (.f64 x x) (neg.f64 x) #s(literal -4096 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -116 binary64) (+.f64 x #s(literal -16 binary64))) (neg.f64 (fma.f64 x x #s(literal -256 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 116 binary64) (+.f64 (neg.f64 x) #s(literal 16 binary64))) (neg.f64 (fma.f64 x x #s(literal -256 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 #s(literal 116 binary64) (fma.f64 x (+.f64 x #s(literal -16 binary64)) #s(literal 256 binary64))) (+.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal 16777216 binary64)) (.f64 (.f64 x (.f64 x x)) #s(literal -4096 binary64)))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 68719476736 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.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))) (fma.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x)) #s(literal -16777216 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 x #s(literal 116 binary64) #s(literal -1856 binary64)) (fma.f64 x (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 256 binary64)) #s(literal 65536 binary64)))) (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal -16777216 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 116 binary64) (-.f64 #s(literal 16 binary64) x)) (-.f64 #s(literal 256 binary64) (.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 x #s(literal 116 binary64) #s(literal -1856 binary64)) (fma.f64 x x #s(literal 256 binary64))) (fma.f64 (.f64 x x) (*.f64 x x) #s(literal -65536 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 x (+.f64 x #s(literal -16 binary64)) #s(literal 256 binary64))) (.f64 #s(literal 1/116 binary64) (fma.f64 (.f64 x x) (neg.f64 x) #s(literal -4096 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (neg.f64 x) #s(literal 16 binary64)) (*.f64 #s(literal 1/116 binary64) (neg.f64 (fma.f64 x x #s(literal -256 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 16 binary64) x) (.f64 #s(literal 1/116 binary64) (-.f64 #s(literal 256 binary64) (.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 x (+.f64 x #s(literal -16 binary64)) #s(literal 256 binary64))) (.f64 (fma.f64 (.f64 x x) (neg.f64 x) #s(literal -4096 binary64)) #s(literal 1/116 binary64))))
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(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal -16777216 binary64)) (fma.f64 x (+.f64 x #s(literal -16 binary64)) #s(literal 256 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x x) #s(literal -4096 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal -16777216 binary64)) (+.f64 x #s(literal -16 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 256 binary64)) #s(literal 65536 binary64)))))
(.f64 (/.f64 (fma.f64 (.f64 x x) (*.f64 x x) #s(literal -65536 binary64)) (+.f64 x #s(literal -16 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 256 binary64))))
(.f64 (/.f64 (fma.f64 x (.f64 x x) #s(literal 4096 binary64)) (fma.f64 (fma.f64 x #s(literal -16 binary64) #s(literal 256 binary64)) (.f64 (fma.f64 x #s(literal -16 binary64) #s(literal 256 binary64)) (fma.f64 x #s(literal -16 binary64) #s(literal 256 binary64))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (fma.f64 x (.f64 x (.f64 x x)) (.f64 (fma.f64 x #s(literal -16 binary64) #s(literal 256 binary64)) (-.f64 (fma.f64 x #s(literal -16 binary64) #s(literal 256 binary64)) (.f64 x x)))))
(.f64 (/.f64 (fma.f64 x (.f64 x x) #s(literal 4096 binary64)) (fma.f64 (fma.f64 x #s(literal -16 binary64) #s(literal 256 binary64)) (.f64 (fma.f64 x #s(literal -16 binary64) #s(literal 256 binary64)) (fma.f64 x #s(literal -16 binary64) #s(literal 256 binary64))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (.f64 x x)) (.f64 (fma.f64 x #s(literal -16 binary64) #s(literal 256 binary64)) (-.f64 (fma.f64 x #s(literal -16 binary64) #s(literal 256 binary64)) (.f64 x x)))))))
(.f64 (/.f64 (fma.f64 x (.f64 x x) #s(literal 4096 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 x #s(literal 16 binary64))))) (+.f64 (fma.f64 x x #s(literal -256 binary64)) (*.f64 x #s(literal 16 binary64))))
(.f64 (/.f64 (fma.f64 x (.f64 x x) #s(literal 4096 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 x #s(literal 16 binary64))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x #s(literal -256 binary64)) (*.f64 x #s(literal 16 binary64))))))
(.f64 (/.f64 (fma.f64 x x #s(literal -256 binary64)) (fma.f64 x (.f64 x x) #s(literal -4096 binary64))) (fma.f64 x x (fma.f64 x #s(literal 16 binary64) #s(literal 256 binary64))))
(.f64 (/.f64 (fma.f64 x x #s(literal -256 binary64)) (fma.f64 x (.f64 x x) #s(literal -4096 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x (fma.f64 x #s(literal 16 binary64) #s(literal 256 binary64))))))
(.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (.f64 x x) #s(literal 4096 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 -1 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 (pow.f64 (/.f64 #s(literal 1 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 (fma.f64 x (+.f64 x #s(literal -16 binary64)) #s(literal 256 binary64)) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 68719476736 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal 16777216 binary64)) (.f64 (.f64 x (*.f64 x x)) #s(literal -4096 binary64)))))
(.f64 (pow.f64 (/.f64 (fma.f64 x (+.f64 x #s(literal -16 binary64)) #s(literal 256 binary64)) (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal -16777216 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x x) #s(literal -4096 binary64))))
(.f64 (pow.f64 (/.f64 (+.f64 x #s(literal -16 binary64)) (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal -16777216 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 256 binary64)) #s(literal 65536 binary64)))))
(.f64 (pow.f64 (/.f64 (+.f64 x #s(literal -16 binary64)) (fma.f64 (.f64 x x) (*.f64 x x) #s(literal -65536 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 256 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 68719476736 binary64)) (fma.f64 (fma.f64 x #s(literal -16 binary64) #s(literal 256 binary64)) (.f64 (fma.f64 x #s(literal -16 binary64) #s(literal 256 binary64)) (fma.f64 x #s(literal -16 binary64) #s(literal 256 binary64))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal 16777216 binary64)) (.f64 (.f64 x (.f64 x x)) #s(literal -4096 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (.f64 x x)) (.f64 (fma.f64 x #s(literal -16 binary64) #s(literal 256 binary64)) (-.f64 (fma.f64 x #s(literal -16 binary64) #s(literal 256 binary64)) (*.f64 x x)))))))
(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 68719476736 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 x #s(literal 16 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal 16777216 binary64)) (.f64 (.f64 x (.f64 x x)) #s(literal -4096 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x #s(literal -256 binary64)) (.f64 x #s(literal 16 binary64))))))
(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal -16777216 binary64)) (fma.f64 (fma.f64 x #s(literal -16 binary64) #s(literal 256 binary64)) (.f64 (fma.f64 x #s(literal -16 binary64) #s(literal 256 binary64)) (fma.f64 x #s(literal -16 binary64) #s(literal 256 binary64))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x x) #s(literal -4096 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (.f64 x x)) (.f64 (fma.f64 x #s(literal -16 binary64) #s(literal 256 binary64)) (-.f64 (fma.f64 x #s(literal -16 binary64) #s(literal 256 binary64)) (.f64 x x)))))))
(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal -16777216 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 x #s(literal 16 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x x) #s(literal -4096 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x #s(literal -256 binary64)) (*.f64 x #s(literal 16 binary64))))))
(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal -16777216 binary64)) (fma.f64 x x #s(literal -256 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 256 binary64)) #s(literal 65536 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 16 binary64)))))
(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal -16777216 binary64)) (/.f64 (fma.f64 x x #s(literal -256 binary64)) (fma.f64 x (.f64 x x) #s(literal 4096 binary64)))) (/.f64 (/.f64 #s(literal 1 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 (+.f64 x #s(literal -16 binary64)) #s(literal 256 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal -16777216 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 256 binary64)) #s(literal 65536 binary64)))) (+.f64 x #s(literal -16 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal -16777216 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 (.f64 x (.f64 x x)) (fma.f64 x (*.f64 x #s(literal 256 binary64)) #s(literal 65536 binary64)))) (neg.f64 (fma.f64 x (+.f64 x #s(literal -16 binary64)) #s(literal 256 binary64)))))
(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal -16777216 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 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 256 binary64)) #s(literal 65536 binary64)))) (+.f64 (neg.f64 x) #s(literal 16 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal -16777216 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 (.f64 x (.f64 x x)) (fma.f64 x (*.f64 x #s(literal 256 binary64)) #s(literal 65536 binary64)))) (-.f64 #s(literal 16 binary64) x)))
(.f64 (/.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal -65536 binary64)) (fma.f64 x (.f64 x x) #s(literal -4096 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 256 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (fma.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 (fma.f64 x x #s(literal -256 binary64)) (fma.f64 x (.f64 x x) #s(literal 4096 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 256 binary64))) (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)) #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)))

simplify38.0ms (1.3%)

Memory

-26.7MiB live, 14.1MiB 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))

eval116.0ms (4%)

Memory: 3.2MiB live, 77.1MiB allocated
Compiler: Compiled 10 134 to 1 234 computations (87.8% saved)

prune122.0ms (4.2%)

Memory

5.9MiB live, 90.5MiB 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))
▶	49.3%	(*.f64 #s(literal 1/116 binary64) x)
▶	51.2%	#s(literal 4/29 binary64)

Compiler

Compiled 23 to 19 computations (17.4% saved)

simplify5.0ms (0.2%)

Memory

6.5MiB live, 6.5MiB 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 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 #s(literal 1/116 binary64) x)

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	23
0	10	23
1	11	23
0	11	23

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

localize63.0ms (2.1%)

Memory

9.4MiB live, 47.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
✓	accuracy	100.0%	(+.f64 (*.f64 x #s(literal 1/116 binary64)) #s(literal 4/29 binary64))
✓	accuracy	99.8%	(*.f64 x #s(literal 1/116 binary64))
✓	accuracy	99.8%	(*.f64 #s(literal 1/116 binary64) x)

Samples

18.0ms

256×

valid

Compiler

Compiled 27 to 8 computations (70.4% saved)

Precisions

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

const: 6.0ms (57.9% of total)

ival-mult: 3.0ms (29% of total)

ival-add: 1.0ms (9.7% of total)

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

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

series2.0ms (0.1%)

Memory

4.9MiB live, 4.9MiB allocated

Counts

4 → 48

Calls

Call 1

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

Outputs
#<alt (* 1/116 x)>
#<alt (* 1/116 x)>
#<alt (* 1/116 x)>
#<alt (* 1/116 x)>
#<alt (* 1/116 x)>
#<alt (* 1/116 x)>
#<alt (* 1/116 x)>
#<alt (* 1/116 x)>
#<alt (* 1/116 x)>
#<alt (* 1/116 x)>
#<alt (* 1/116 x)>
#<alt (* 1/116 x)>
#<alt 4/29>
#<alt (+ 4/29 (* 1/116 x))>
#<alt (+ 4/29 (* 1/116 x))>
#<alt (+ 4/29 (* 1/116 x))>
#<alt (* 1/116 x)>
#<alt (* x (+ 1/116 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 1/116 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 1/116 (* 4/29 (/ 1 x))))>
#<alt (* 1/116 x)>
#<alt (* x (+ 1/116 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 1/116 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 1/116 (* 4/29 (/ 1 x))))>
#<alt (* 1/116 x)>
#<alt (* 1/116 x)>
#<alt (* 1/116 x)>
#<alt (* 1/116 x)>
#<alt (* 1/116 x)>
#<alt (* 1/116 x)>
#<alt (* 1/116 x)>
#<alt (* 1/116 x)>
#<alt (* 1/116 x)>
#<alt (* 1/116 x)>
#<alt (* 1/116 x)>
#<alt (* 1/116 x)>
#<alt 4/29>
#<alt (+ 4/29 (* 1/116 x))>
#<alt (+ 4/29 (* 1/116 x))>
#<alt (+ 4/29 (* 1/116 x))>
#<alt (* 1/116 x)>
#<alt (* x (+ 1/116 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 1/116 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 1/116 (* 4/29 (/ 1 x))))>
#<alt (* 1/116 x)>
#<alt (* x (+ 1/116 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 1/116 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 1/116 (* 4/29 (/ 1 x))))>

Calls

12 calls:

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

rewrite601.0ms (20.5%)

Memory

-22.5MiB live, 528.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

10 628×	`lower-fma.f32`
10 626×	`lower-fma.f64`
4 272×	`lower-/.f64`
4 272×	`lower-/.f32`
4 234×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	14
0	10	14
1	26	14
2	151	14
3	1219	14
0	8378	14

Stop Event

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

Counts

4 → 438

Calls

Call 1

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

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

simplify9.0ms (0.3%)

Memory

26.8MiB live, 26.8MiB 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	176
1	24	176
2	37	176
3	49	176
4	49	176
5	64	176
6	70	176
7	74	176
8	74	176
0	74	158

Stop Event

1×	iter limit
1×	saturated

Counts

48 → 48

Calls

Call 1

Inputs
(* 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))))
(* 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
(* 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))
(* 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))

eval53.0ms (1.8%)

Memory: 7.7MiB live, 125.8MiB allocated
Compiler: Compiled 13 801 to 629 computations (95.4% saved)

prune32.0ms (1.1%)

Memory

-9.9MiB live, 68.6MiB allocated

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	486	0	486
Fresh	0	0	0
Picked	0	4	4
Done	0	1	1
Total	486	5	491

Accuracy

100.0%

Counts

491 → 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))
✓	49.3%	(*.f64 #s(literal 1/116 binary64) x)
✓	51.2%	#s(literal 4/29 binary64)

Compiler

Compiled 42 to 30 computations (28.6% saved)

regimes7.0ms (0.2%)

Memory

14.8MiB live, 14.8MiB allocated

Counts

5 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 12 to 9 computations (25% saved)

regimes7.0ms (0.3%)

Memory

-24.9MiB live, 13.3MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))`
99.9%	1	`(+.f64 x #s(literal 16 binary64))`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes5.0ms (0.2%)

Memory

11.1MiB live, 11.1MiB allocated

Counts

2 → 3

Calls

Call 1

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

Outputs
(*.f64 #s(literal 1/116 binary64) x)
#s(literal 4/29 binary64)
(*.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
96.9%	3	`x`
96.9%	3	`(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))`
96.9%	3	`(+.f64 x #s(literal 16 binary64))`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes4.0ms (0.1%)

Memory

9.2MiB live, 9.2MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 4/29 binary64)

Outputs
#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
51.2%	1	`x`
51.2%	1	`(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))`
51.2%	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	16.03460079429192	2150.3481648502034
0.0ms	-132687.1329022021	15.999906950726166

Compiler

Compiled 9 to 9 computations (0% saved)

simplify7.0ms (0.2%)

Memory

-26.6MiB live, 11.7MiB allocated

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64`
2×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	29
1	17	29

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 -100000 binary64)) (.f64 #s(literal 1/116 binary64) x) (if (<=.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 20 binary64)) #s(literal 4/29 binary64) (.f64 #s(literal 1/116 binary64) x)))
#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 -100000 binary64)) (.f64 #s(literal 1/116 binary64) x) (if (<=.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 20 binary64)) #s(literal 4/29 binary64) (.f64 #s(literal 1/116 binary64) x)))
(if (<=.f64 (+.f64 x #s(literal 16 binary64)) #s(literal -100000 binary64)) (.f64 x #s(literal 1/116 binary64)) (if (<=.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 20 binary64)) #s(literal 4/29 binary64) (.f64 x #s(literal 1/116 binary64))))
#s(literal 4/29 binary64)

soundness102.0ms (3.5%)

Memory

16.9MiB live, 102.2MiB 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 43 to 26 computations (39.5% saved)

preprocess30.0ms (1%)

Memory: -8.6MiB live, 67.9MiB allocated
Compiler: Compiled 72 to 40 computations (44.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	10	176
1	24	176
2	37	176
3	49	176
4	49	176
5	64	176
6	70	176
7	74	176
8	74	176
0	74	158

Iter	Nodes	Cost
0	10	176
1	24	176
2	37	176
3	49	176
4	49	176
5	64	176
6	70	176
7	74	176
8	74	176
0	74	158

analyze0.0ms (0%)

sample865.0ms (29.5%)

preprocess33.0ms (1.1%)

explain176.0ms (6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify5.0ms (0.2%)

localize179.0ms (6.1%)

series1.0ms (0%)

rewrite472.0ms (16.1%)

simplify38.0ms (1.3%)

eval116.0ms (4%)

prune122.0ms (4.2%)

simplify5.0ms (0.2%)

localize63.0ms (2.1%)

series2.0ms (0.1%)

rewrite601.0ms (20.5%)

simplify9.0ms (0.3%)

eval53.0ms (1.8%)

prune32.0ms (1.1%)

regimes7.0ms (0.2%)

regimes7.0ms (0.3%)

regimes5.0ms (0.2%)

regimes4.0ms (0.1%)

bsearch0.0ms (0%)

simplify7.0ms (0.2%)

soundness102.0ms (3.5%)

preprocess30.0ms (1%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	10	176
1	24	176
2	37	176
3	49	176
4	49	176
5	64	176
6	70	176
7	74	176
8	74	176
0	74	158