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

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)

sample492.0ms (24.2%)

Memory

15.1MiB live, 754.0MiB allocated

Samples

345.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 124.0ms

ival-div: 60.0ms (48.4% of total)

ival-add: 47.0ms (37.9% of total)

exact: 7.0ms (5.6% of total)

ival-true: 6.0ms (4.8% of total)

ival-assert: 4.0ms (3.2% of total)

Bogosity

preprocess27.0ms (1.3%)

Memory

-34.6MiB live, 33.8MiB 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
1	6	5
0	6	5

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(/ (+ x 16) 116)

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

explain45.0ms (2.2%)

Memory

26.9MiB live, 101.5MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

20.0ms

512×

valid

Compiler

Compiled 38 to 24 computations (36.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-div: 6.0ms (56.7% of total)

ival-add: 3.0ms (28.4% 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: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 6 to 5 computations (16.7% saved)

simplify3.0ms (0.2%)

Memory

6.4MiB live, 6.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

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

Rules

4×	`+-lowering-+.f64`
4×	`+-lowering-+.f32`
2×	`/-lowering-/.f32`
2×	`/-lowering-/.f64`
2×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	11
1	6	11
0	6	11

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(/ (+ x 16) 116)
(+ x 16)
x
16
116

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

localize16.0ms (0.8%)

Memory

-5.4MiB live, 32.4MiB 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

11.0ms

256×

valid

Compiler

Compiled 13 to 7 computations (46.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-div: 4.0ms (71.8% of total)

ival-add: 2.0ms (35.9% of total)

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

exact: 0.0ms (0% of total)

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

series1.0ms (0.1%)

Memory

2.7MiB live, 2.7MiB allocated

Counts

2 → 24

Calls

Call 1

Inputs
#<alt (/ (+ x 16) 116)>
#<alt (+ x 16)>

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)

rewrite405.0ms (19.9%)

Memory

-17.0MiB live, 584.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 334×	`/-lowering-/.f32`
5 334×	`/-lowering-/.f64`
3 418×	`-lowering-.f32`
3 418×	`-lowering-.f64`
2 760×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	8
1	31	8
2	175	8
3	1443	8
0	8417	7

Stop Event

1×	iter limit
1×	node limit

Counts

2 → 416

Calls

Call 1

Inputs
(/ (+ x 16) 116)
(+ x 16)

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

simplify10.0ms (0.5%)

Memory

19.9MiB live, 19.9MiB allocated

Algorithm

1×	egg-herbie

Rules

72×	`-lowering-.f32`
72×	`-lowering-.f64`
32×	`associate-r`
32×	`associate-l`
28×	`/-lowering-/.f32`

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 → 24

Calls

Call 1

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

eval51.0ms (2.5%)

Memory: -3.3MiB live, 114.8MiB allocated
Compiler: Compiled 10 140 to 1 234 computations (87.8% saved)

prune163.0ms (8%)

Memory

-10.9MiB live, 110.7MiB allocated

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	436	4	440
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	437	4	441

Accuracy

100.0%

Counts

441 → 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))
▶	54.0%	(/.f64 x #s(literal 116 binary64))
▶	54.0%	(*.f64 #s(literal 1/116 binary64) x)
▶	46.3%	#s(literal 4/29 binary64)

Compiler

Compiled 15 to 12 computations (20% saved)

simplify4.0ms (0.2%)

Memory

4.2MiB live, 4.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Program
✓	cost-diff	(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
✓	cost-diff	(/.f64 x #s(literal 116 binary64))
✓	cost-diff	(*.f64 #s(literal 1/116 binary64) x)

Rules

4×	`+-lowering-+.f64`
4×	`-lowering-.f32`
4×	`-lowering-.f64`
4×	`+-lowering-+.f32`
4×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	9	19
0	9	18

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize174.0ms (8.5%)

Memory

-3.8MiB live, 34.8MiB allocated

Localize:

Found 3 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 x #s(literal 116 binary64))
✓	accuracy	99.9%	(*.f64 #s(literal 1/116 binary64) x)

Samples

165.0ms

256×

valid

Compiler

Compiled 20 to 10 computations (50% saved)

Precisions

Click to see histograms. Total time spent on operations: 158.0ms

const: 150.0ms (95.2% of total)

ival-mult: 4.0ms (2.5% of total)

ival-div: 2.0ms (1.3% of total)

ival-add: 1.0ms (0.6% of total)

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

exact: 0.0ms (0% of total)

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

series2.0ms (0.1%)

Memory

2.1MiB live, 2.1MiB allocated

Counts

3 → 36

Calls

Call 1

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

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 (* 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

9 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)

rewrite406.0ms (20%)

Memory

-16.6MiB live, 340.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 086×	`/-lowering-/.f32`
4 086×	`/-lowering-/.f64`
3 568×	`accelerator-lowering-fma.f32`
3 568×	`accelerator-lowering-fma.f64`
2 722×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	32	11
2	232	11
3	3479	11
0	8135	10

Stop Event

1×	iter limit
1×	node limit

Counts

3 → 207

Calls

Call 1

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

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

simplify9.0ms (0.4%)

Memory

24.1MiB live, 24.1MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	124
1	24	124
2	37	124
3	49	124
4	49	124
5	64	124
6	70	124
7	74	124
8	74	124
0	74	115

Stop Event

1×	iter limit
1×	saturated

Counts

36 → 36

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)
(* 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)
(* 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))

eval28.0ms (1.4%)

Memory: -3.6MiB live, 77.9MiB allocated
Compiler: Compiled 3 823 to 434 computations (88.6% saved)

prune21.0ms (1%)

Memory

-9.7MiB live, 68.7MiB allocated

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	243	0	243
Fresh	0	0	0
Picked	0	4	4
Done	0	0	0
Total	243	4	247

Accuracy

100.0%

Counts

247 → 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))
✓	54.0%	(/.f64 x #s(literal 116 binary64))
✓	54.0%	(*.f64 #s(literal 1/116 binary64) x)
✓	46.3%	#s(literal 4/29 binary64)

Compiler

Compiled 32 to 22 computations (31.3% saved)

regimes7.0ms (0.3%)

Memory

22.5MiB live, 22.5MiB 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 x #s(literal 116 binary64))
(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))

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

Calls

3 calls:

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)

regimes8.0ms (0.4%)

Memory

-18.2MiB live, 19.8MiB 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 x #s(literal 116 binary64))

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
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

13.5MiB live, 13.5MiB 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
97.0%	3	`x`
97.0%	3	`(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))`
97.0%	3	`(+.f64 x #s(literal 16 binary64))`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes4.0ms (0.2%)

Memory

10.8MiB live, 10.8MiB 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
46.3%	1	`x`
46.3%	1	`(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))`
46.3%	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	16.0001818254372	711.4970400742973
0.0ms	-8.909103923886342	14.932116405510799

Compiler

Compiled 9 to 9 computations (0% saved)

simplify9.0ms (0.4%)

Memory

-28.5MiB live, 14.1MiB allocated

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64`
2×	`+-commutative_binary64`
2×	`if-if-or-not_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	27
1	20	27

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 -5 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 -5 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 -5 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)

soundness99.0ms (4.9%)

Memory

5.1MiB live, 117.4MiB allocated

Rules

5 334×	`/-lowering-/.f32`
5 334×	`/-lowering-/.f64`
3 418×	`-lowering-.f32`
3 418×	`-lowering-.f64`
2 760×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	8
1	31	8
2	175	8
3	1443	8
0	8417	7
0	15	82
1	41	82
2	67	82
3	140	82
4	140	82
5	143	82
6	148	82
7	148	82
0	148	73

Stop Event

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

Compiler

Compiled 43 to 26 computations (39.5% saved)

preprocess44.0ms (2.2%)

Memory: 23.0MiB live, 103.8MiB 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	124
1	24	124
2	37	124
3	49	124
4	49	124
5	64	124
6	70	124
7	74	124
8	74	124
0	74	115

Iter	Nodes	Cost
0	10	124
1	24	124
2	37	124
3	49	124
4	49	124
5	64	124
6	70	124
7	74	124
8	74	124
0	74	115

analyze0.0ms (0%)

sample492.0ms (24.2%)

preprocess27.0ms (1.3%)

explain45.0ms (2.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify3.0ms (0.2%)

localize16.0ms (0.8%)

series1.0ms (0.1%)

rewrite405.0ms (19.9%)

simplify10.0ms (0.5%)

eval51.0ms (2.5%)

prune163.0ms (8%)

simplify4.0ms (0.2%)

localize174.0ms (8.5%)

series2.0ms (0.1%)

rewrite406.0ms (20%)

simplify9.0ms (0.4%)

eval28.0ms (1.4%)

prune21.0ms (1%)

regimes7.0ms (0.3%)

regimes8.0ms (0.4%)

regimes5.0ms (0.2%)

regimes4.0ms (0.2%)

bsearch0.0ms (0%)

simplify9.0ms (0.4%)

soundness99.0ms (4.9%)

preprocess44.0ms (2.2%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	10	124
1	24	124
2	37	124
3	49	124
4	49	124
5	64	124
6	70	124
7	74	124
8	74	124
0	74	115