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

analyze0.0ms (0%)

Memory

1.0MiB live, 1.0MiB 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)

sample414.0ms (10.7%)

Memory

19.9MiB live, 687.7MiB allocated

Samples

263.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 122.0ms

ival-div: 59.0ms (48.6% of total)

ival-add: 48.0ms (39.5% of total)

exact: 7.0ms (5.8% of total)

ival-true: 5.0ms (4.1% of total)

ival-assert: 3.0ms (2.5% of total)

Bogosity

preprocess22.0ms (0.6%)

Memory

-6.8MiB live, 31.4MiB allocated

Algorithm

2×	egg-herbie

Rules

54×	`div-sub`
50×	`sub-neg`
44×	`distribute-lft-neg-in`
34×	`*-commutative`
30×	`associate-/l*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	22	15
2	37	15
3	78	15
4	168	15
5	259	15
6	298	15
7	320	15
8	336	15
9	349	15
10	353	15
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))

Call 2

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

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

explain53.0ms (1.4%)

Memory

-31.9MiB live, 74.9MiB 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

27.0ms

512×

valid

Compiler

Compiled 38 to 24 computations (36.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-add: 12.0ms (72.5% of total)

ival-div: 4.0ms (24.2% 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

2.4MiB live, 2.4MiB 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 (0.1%)

Memory

4.8MiB live, 4.8MiB 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)

localize14.0ms (0.4%)

Memory

24.4MiB live, 24.4MiB allocated

Localize:

Found 2 expressions of interest:

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

Samples

9.0ms

256×

valid

Compiler

Compiled 13 to 7 computations (46.2% saved)

Precisions

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

ival-div: 2.0ms (54.9% of total)

ival-add: 1.0ms (27.5% 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

1.6MiB live, 1.6MiB 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	@	0	(+ x 16)
0.0ms	x	@	-inf	(+ x 16)

rewrite347.0ms (9%)

Memory

-8.1MiB live, 528.8MiB 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 (-.f64 #s(literal 0 binary64) (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 (-.f64 #s(literal 0 binary64) x) #s(literal -116 binary64)) #s(literal -4/29 binary64))
(-.f64 (/.f64 (/.f64 (*.f64 x x) (+.f64 (-.f64 #s(literal 0 binary64) 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) (-.f64 #s(literal 0 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) (-.f64 #s(literal 0 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 (.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) (-.f64 #s(literal 0 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 0 binary64) (*.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) (-.f64 #s(literal 0 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) (-.f64 #s(literal 0 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 0 binary64) (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 (-.f64 #s(literal 0 binary64) x) #s(literal 16 binary64)))) (/.f64 (fma.f64 x x #s(literal -256 binary64)) (.f64 #s(literal 116 binary64) (+.f64 (-.f64 #s(literal 0 binary64) 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) (-.f64 #s(literal 0 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 0 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)) (neg.f64 (.f64 #s(literal 116 binary64) (-.f64 #s(literal 0 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 #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) (-.f64 #s(literal 0 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 1 binary64) (/.f64 (.f64 #s(literal 116 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x (+.f64 x #s(literal -16 binary64)) #s(literal 256 binary64)))) (fma.f64 (.f64 x x) (-.f64 #s(literal 0 binary64) 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) (-.f64 #s(literal 0 binary64) x) #s(literal -4096 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 116 binary64) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 16 binary64))) (-.f64 #s(literal 0 binary64) (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))) (-.f64 #s(literal 0 binary64) (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 (-.f64 #s(literal 0 binary64) (fma.f64 x (+.f64 x #s(literal -16 binary64)) #s(literal 256 binary64))) (.f64 #s(literal 1/116 binary64) (fma.f64 (.f64 x x) (-.f64 #s(literal 0 binary64) x) #s(literal -4096 binary64)))))
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(.f64 (fma.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x x)) #s(literal -16777216 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (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 #s(literal 1 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 #s(literal 1 binary64) (+.f64 x #s(literal -16 binary64))) (fma.f64 x x #s(literal -256 binary64)))
(.f64 (-.f64 #s(literal 256 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) x)))
(.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal -65536 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 x #s(literal -16 binary64)) (fma.f64 x x #s(literal 256 binary64)))))
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(*.f64 (fma.f64 x x #s(literal 256 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 256 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 16 binary64)))))
(.f64 (-.f64 (.f64 (.f64 x x) (+.f64 x #s(literal -16 binary64))) (.f64 (+.f64 x #s(literal -16 binary64)) #s(literal 256 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal -16 binary64)) (+.f64 x #s(literal -16 binary64)))))
(.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 256 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 16 binary64) x))))
(.f64 (-.f64 (.f64 (/.f64 (.f64 x x) (+.f64 x #s(literal -16 binary64))) (.f64 (/.f64 (.f64 x x) (+.f64 x #s(literal -16 binary64))) (/.f64 (.f64 x x) (+.f64 x #s(literal -16 binary64))))) (.f64 (/.f64 #s(literal 256 binary64) (+.f64 x #s(literal -16 binary64))) (/.f64 (/.f64 #s(literal 256 binary64) (+.f64 x #s(literal -16 binary64))) (.f64 (+.f64 x #s(literal -16 binary64)) #s(literal 1/256 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 x x) (+.f64 x #s(literal -16 binary64))) (/.f64 (.f64 x x) (+.f64 x #s(literal -16 binary64))) (fma.f64 (/.f64 #s(literal 256 binary64) (+.f64 x #s(literal -16 binary64))) (/.f64 #s(literal 256 binary64) (+.f64 x #s(literal -16 binary64))) (/.f64 (/.f64 (.f64 x x) (+.f64 x #s(literal -16 binary64))) (.f64 (+.f64 x #s(literal -16 binary64)) #s(literal 1/256 binary64)))))))
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(.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 x #s(literal -16 binary64)) #s(literal 256 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)))))
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(.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))))
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(.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)) (fma.f64 x x (-.f64 #s(literal 0 binary64) (fma.f64 x #s(literal -16 binary64) #s(literal 256 binary64)))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 0 binary64) (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))) (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)) (fma.f64 x x (-.f64 #s(literal 0 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 x x (-.f64 #s(literal 0 binary64) (fma.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)) (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)) (fma.f64 x x (-.f64 #s(literal 0 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 x x (-.f64 #s(literal 0 binary64) (fma.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 (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) (-.f64 #s(literal 0 binary64) 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)))) (-.f64 #s(literal 0 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)) (-.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 (-.f64 #s(literal 0 binary64) 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) (-.f64 #s(literal 0 binary64) x) #s(literal -4096 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 256 binary64))) (-.f64 #s(literal 0 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)) (-.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 (-.f64 #s(literal 0 binary64) 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) (-.f64 #s(literal 0 binary64) 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 (0.3%)

Memory

19.0MiB live, 18.9MiB 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))

eval60.0ms (1.6%)

Memory: -25.6MiB live, 115.7MiB allocated
Compiler: Compiled 10 358 to 1 234 computations (88.1% saved)

prune52.0ms (1.3%)

Memory

-2.5MiB live, 118.8MiB allocated

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	435	5	440
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	436	5	441

Accuracy

100.0%

Counts

441 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
▶	76.3%	(/.f64 (*.f64 #s(literal 1/116 binary64) (fma.f64 x x #s(literal -256 binary64))) (+.f64 x #s(literal -16 binary64)))
▶	50.7%	(/.f64 x #s(literal 116 binary64))
▶	50.6%	(*.f64 #s(literal 1/116 binary64) x)
▶	50.6%	#s(literal 4/29 binary64)

Compiler

Compiled 52 to 40 computations (23.1% saved)

simplify7.0ms (0.2%)

Memory

13.5MiB live, 13.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 7 expressions of interest:

New	Metric	Program
✓	cost-diff	(+.f64 x #s(literal -16 binary64))
✓	cost-diff	(fma.f64 x x #s(literal -256 binary64))
✓	cost-diff	(*.f64 #s(literal 1/116 binary64) (fma.f64 x x #s(literal -256 binary64)))
✓	cost-diff	(/.f64 (*.f64 #s(literal 1/116 binary64) (fma.f64 x x #s(literal -256 binary64))) (+.f64 x #s(literal -16 binary64)))
✓	cost-diff	(/.f64 x #s(literal 116 binary64))
✓	cost-diff	(*.f64 #s(literal 1/116 binary64) x)
✓	cost-diff	(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))

Rules

58×	`-lowering-.f32`
58×	`-lowering-.f64`
34×	`accelerator-lowering-fma.f32`
34×	`accelerator-lowering-fma.f64`
20×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	49
1	28	49
2	35	49
3	36	49
4	44	49
5	50	49
6	56	49
7	62	49
8	68	49
0	68	45

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(+ (* x 1/116) 4/29)
x
1/116
4/29
4/29
(* 1/116 x)
1/116
x
(/ x 116)
x
116
(/ (* 1/116 (+ (* x x) -256)) (+ x -16))
(* 1/116 (+ (* x x) -256))
1/116
(+ (* x x) -256)
x
-256
(+ x -16)
-16

Outputs
(+ (* x 1/116) 4/29)
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
x
1/116
#s(literal 1/116 binary64)
4/29
#s(literal 4/29 binary64)
4/29
#s(literal 4/29 binary64)
(* 1/116 x)
(*.f64 x #s(literal 1/116 binary64))
1/116
#s(literal 1/116 binary64)
x
(/ x 116)
(/.f64 x #s(literal 116 binary64))
x
116
#s(literal 116 binary64)
(/ (* 1/116 (+ (* x x) -256)) (+ x -16))
(/.f64 (fma.f64 x (*.f64 x #s(literal 1/116 binary64)) #s(literal -64/29 binary64)) (+.f64 x #s(literal -16 binary64)))
(* 1/116 (+ (* x x) -256))
(fma.f64 x (*.f64 x #s(literal 1/116 binary64)) #s(literal -64/29 binary64))
1/116
#s(literal 1/116 binary64)
(+ (* x x) -256)
(fma.f64 x x #s(literal -256 binary64))
x
-256
#s(literal -256 binary64)
(+ x -16)
(+.f64 x #s(literal -16 binary64))
-16
#s(literal -16 binary64)

localize90.0ms (2.3%)

Memory

-10.7MiB live, 66.7MiB allocated

Localize:

Found 7 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 x x #s(literal -256 binary64))
✓	accuracy	100.0%	(+.f64 x #s(literal -16 binary64))
✓	accuracy	99.9%	(*.f64 #s(literal 1/116 binary64) (fma.f64 x x #s(literal -256 binary64)))
✓	accuracy	76.4%	(/.f64 (*.f64 #s(literal 1/116 binary64) (fma.f64 x x #s(literal -256 binary64))) (+.f64 x #s(literal -16 binary64)))
✓	accuracy	100.0%	(/.f64 x #s(literal 116 binary64))
✓	accuracy	99.9%	(*.f64 #s(literal 1/116 binary64) x)
✓	accuracy	100.0%	(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))

Samples

30.0ms

256×

valid

Compiler

Compiled 47 to 17 computations (63.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-mult: 6.0ms (30.6% of total)

const: 6.0ms (30.6% of total)

ival-div: 3.0ms (15.3% of total)

ival-add: 3.0ms (15.3% of total)

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

exact: 0.0ms (0% of total)

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

series5.0ms (0.1%)

Memory

6.3MiB live, 6.3MiB allocated

Counts

7 → 84

Calls

Call 1

Inputs
#<alt (+ (* x 1/116) 4/29)>
#<alt (* 1/116 x)>
#<alt (/ x 116)>
#<alt (/ (* 1/116 (+ (* x x) -256)) (+ x -16))>
#<alt (* 1/116 (+ (* x x) -256))>
#<alt (+ (* x x) -256)>
#<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 (* 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))))>
#<alt -64/29>
#<alt (- (* 1/116 (pow x 2)) 64/29)>
#<alt (- (* 1/116 (pow x 2)) 64/29)>
#<alt (- (* 1/116 (pow x 2)) 64/29)>
#<alt (* 1/116 (pow x 2))>
#<alt (* (pow x 2) (- 1/116 (* 64/29 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/116 (* 64/29 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/116 (* 64/29 (/ 1 (pow x 2)))))>
#<alt (* 1/116 (pow x 2))>
#<alt (* (pow x 2) (- 1/116 (* 64/29 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/116 (* 64/29 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/116 (* 64/29 (/ 1 (pow x 2)))))>
#<alt -256>
#<alt (- (pow x 2) 256)>
#<alt (- (pow x 2) 256)>
#<alt (- (pow x 2) 256)>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (* 256 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1 (* 256 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1 (* 256 (/ 1 (pow x 2)))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (* 256 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1 (* 256 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1 (* 256 (/ 1 (pow x 2)))))>
#<alt -16>
#<alt (- x 16)>
#<alt (- x 16)>
#<alt (- x 16)>
#<alt x>
#<alt (* x (- 1 (* 16 (/ 1 x))))>
#<alt (* x (- 1 (* 16 (/ 1 x))))>
#<alt (* x (- 1 (* 16 (/ 1 x))))>
#<alt x>
#<alt (* -1 (* x (- (* 16 (/ 1 x)) 1)))>
#<alt (* -1 (* x (- (* 16 (/ 1 x)) 1)))>
#<alt (* -1 (* x (- (* 16 (/ 1 x)) 1)))>

Calls

21 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(* 1/116 (+ (* x x) -256))
0.0ms	x	@	inf	(* 1/116 x)
0.0ms	x	@	inf	(/ (* 1/116 (+ (* x x) -256)) (+ x -16))
0.0ms	x	@	0	(/ (* 1/116 (+ (* x x) -256)) (+ x -16))
0.0ms	x	@	-inf	(/ (* 1/116 (+ (* x x) -256)) (+ x -16))

rewrite402.0ms (10.4%)

Memory

19.5MiB live, 571.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

3 986×	`-lowering-.f32`
3 986×	`-lowering-.f64`
3 654×	`/-lowering-/.f32`
3 654×	`/-lowering-/.f64`
3 558×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	31
1	87	31
2	608	31
3	7499	31
0	8378	27

Stop Event

1×	iter limit
1×	node limit

Counts

7 → 625

Calls

Call 1

Inputs
(+ (* x 1/116) 4/29)
(* 1/116 x)
(/ x 116)
(/ (* 1/116 (+ (* x x) -256)) (+ x -16))
(* 1/116 (+ (* x x) -256))
(+ (* x x) -256)
(+ x -16)

Outputs
(+.f64 (*.f64 x #s(literal 1/116 binary64)) #s(literal 4/29 binary64))
(+.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal 1/116 binary64)))
(+.f64 (/.f64 (.f64 x x) (.f64 (fma.f64 x #s(literal 1/116 binary64) #s(literal -4/29 binary64)) #s(literal 13456 binary64))) (neg.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal 1/116 binary64) #s(literal -4/29 binary64)))))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -16 binary64))) (.f64 x (.f64 x #s(literal 1/116 binary64)))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -16 binary64))) #s(literal -64/29 binary64)))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -16 binary64))) #s(literal -64/29 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -16 binary64))) (.f64 x (.f64 x #s(literal 1/116 binary64)))))
(+.f64 (.f64 (/.f64 (fma.f64 x (.f64 x #s(literal 1/116 binary64)) #s(literal -64/29 binary64)) (fma.f64 x (.f64 x x) #s(literal -4096 binary64))) (.f64 x x)) (.f64 (/.f64 (fma.f64 x (.f64 x #s(literal 1/116 binary64)) #s(literal -64/29 binary64)) (fma.f64 x (*.f64 x x) #s(literal -4096 binary64))) (fma.f64 x #s(literal 16 binary64) #s(literal 256 binary64))))
(+.f64 (.f64 (/.f64 (fma.f64 x (.f64 x #s(literal 1/116 binary64)) #s(literal -64/29 binary64)) (fma.f64 x (.f64 x x) #s(literal -4096 binary64))) (fma.f64 x #s(literal 16 binary64) #s(literal 256 binary64))) (.f64 (/.f64 (fma.f64 x (.f64 x #s(literal 1/116 binary64)) #s(literal -64/29 binary64)) (fma.f64 x (.f64 x x) #s(literal -4096 binary64))) (*.f64 x x)))
(+.f64 (.f64 (.f64 x (.f64 x #s(literal 1/116 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -16 binary64)))) (.f64 #s(literal -64/29 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -16 binary64)))))
(+.f64 (.f64 #s(literal -64/29 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -16 binary64)))) (.f64 (.f64 x (.f64 x #s(literal 1/116 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -16 binary64)))))
(+.f64 (.f64 (.f64 x x) (/.f64 (fma.f64 x (.f64 x #s(literal 1/116 binary64)) #s(literal -64/29 binary64)) (fma.f64 x (.f64 x x) #s(literal -4096 binary64)))) (.f64 (fma.f64 x #s(literal 16 binary64) #s(literal 256 binary64)) (/.f64 (fma.f64 x (.f64 x #s(literal 1/116 binary64)) #s(literal -64/29 binary64)) (fma.f64 x (*.f64 x x) #s(literal -4096 binary64)))))
(+.f64 (.f64 (fma.f64 x #s(literal 16 binary64) #s(literal 256 binary64)) (/.f64 (fma.f64 x (.f64 x #s(literal 1/116 binary64)) #s(literal -64/29 binary64)) (fma.f64 x (.f64 x x) #s(literal -4096 binary64)))) (.f64 (.f64 x x) (/.f64 (fma.f64 x (.f64 x #s(literal 1/116 binary64)) #s(literal -64/29 binary64)) (fma.f64 x (*.f64 x x) #s(literal -4096 binary64)))))
(exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 (fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64)))) #s(literal -1 binary64)))
(-.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal -1/116 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/116 binary64) (-.f64 #s(literal -16 binary64) x)))
(-.f64 (/.f64 (.f64 x x) (.f64 (fma.f64 x #s(literal 1/116 binary64) #s(literal -4/29 binary64)) #s(literal 13456 binary64))) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal 1/116 binary64) #s(literal -4/29 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 16 binary64) x)) (*.f64 #s(literal 1/116 binary64) (-.f64 #s(literal -16 binary64) x)))
(-.f64 (/.f64 #s(literal 16/841 binary64) (-.f64 #s(literal 4/29 binary64) (.f64 x #s(literal 1/116 binary64)))) (/.f64 (.f64 (.f64 x x) #s(literal 1/13456 binary64)) (-.f64 #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))
(fma.f64 x (/.f64 (*.f64 x #s(literal 1/13456 binary64)) (fma.f64 x #s(literal 1/116 binary64) #s(literal -4/29 binary64))) (neg.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal 1/116 binary64) #s(literal -4/29 binary64)))))
(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) x) #s(literal -1 binary64)) #s(literal 4/29 binary64))
(fma.f64 #s(literal 1/116 binary64) (/.f64 (.f64 x (.f64 x #s(literal 1/116 binary64))) (fma.f64 x #s(literal 1/116 binary64) #s(literal -4/29 binary64))) (neg.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal 1/116 binary64) #s(literal -4/29 binary64)))))
(fma.f64 (*.f64 x #s(literal 1/116 binary64)) #s(literal 1 binary64) #s(literal 4/29 binary64))
(fma.f64 (.f64 x #s(literal 1/116 binary64)) (/.f64 (.f64 x #s(literal 1/116 binary64)) (fma.f64 x #s(literal 1/116 binary64) #s(literal -4/29 binary64))) (neg.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal 1/116 binary64) #s(literal -4/29 binary64)))))
(fma.f64 (.f64 x x) (/.f64 (fma.f64 x (.f64 x #s(literal 1/116 binary64)) #s(literal -64/29 binary64)) (fma.f64 x (.f64 x x) #s(literal -4096 binary64))) (.f64 (fma.f64 x #s(literal 16 binary64) #s(literal 256 binary64)) (/.f64 (fma.f64 x (.f64 x #s(literal 1/116 binary64)) #s(literal -64/29 binary64)) (fma.f64 x (.f64 x x) #s(literal -4096 binary64)))))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1/13456 binary64) (fma.f64 x #s(literal 1/116 binary64) #s(literal -4/29 binary64))) (neg.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal 1/116 binary64) #s(literal -4/29 binary64)))))
(fma.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1/116 binary64) #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))) (neg.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal 1/116 binary64) #s(literal -4/29 binary64)))))
(fma.f64 (fma.f64 x #s(literal 16 binary64) #s(literal 256 binary64)) (/.f64 (fma.f64 x (.f64 x #s(literal 1/116 binary64)) #s(literal -64/29 binary64)) (fma.f64 x (.f64 x x) #s(literal -4096 binary64))) (.f64 (.f64 x x) (/.f64 (fma.f64 x (.f64 x #s(literal 1/116 binary64)) #s(literal -64/29 binary64)) (fma.f64 x (.f64 x x) #s(literal -4096 binary64)))))
(fma.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/116 binary64)) #s(literal 4/29 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -16 binary64))) (.f64 x (.f64 x #s(literal 1/116 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -16 binary64))) #s(literal -64/29 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -16 binary64))) #s(literal -64/29 binary64) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -16 binary64))) (.f64 x (*.f64 x #s(literal 1/116 binary64)))))
(fma.f64 (.f64 x (.f64 x #s(literal 1/116 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -16 binary64))) (*.f64 #s(literal -64/29 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -16 binary64)))))
(fma.f64 (.f64 x (.f64 x #s(literal 1/116 binary64))) (/.f64 #s(literal 1/116 binary64) (fma.f64 x #s(literal 1/116 binary64) #s(literal -4/29 binary64))) (neg.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal 1/116 binary64) #s(literal -4/29 binary64)))))
(fma.f64 #s(literal -64/29 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -16 binary64))) (.f64 (.f64 x (*.f64 x #s(literal 1/116 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -16 binary64)))))
(fma.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/116 binary64)) #s(literal 4/29 binary64))
(fma.f64 #s(literal -1/116 binary64) (-.f64 #s(literal 0 binary64) x) #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))) (neg.f64 (/.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 x #s(literal 1/116 binary64) #s(literal -4/29 binary64))) (neg.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal 1/116 binary64) #s(literal -4/29 binary64)))))
(fma.f64 (/.f64 (fma.f64 x (.f64 x #s(literal 1/116 binary64)) #s(literal -64/29 binary64)) (fma.f64 x (.f64 x x) #s(literal -4096 binary64))) (.f64 x x) (.f64 (/.f64 (fma.f64 x (.f64 x #s(literal 1/116 binary64)) #s(literal -64/29 binary64)) (fma.f64 x (.f64 x x) #s(literal -4096 binary64))) (fma.f64 x #s(literal 16 binary64) #s(literal 256 binary64))))
(fma.f64 (/.f64 (fma.f64 x (.f64 x #s(literal 1/116 binary64)) #s(literal -64/29 binary64)) (fma.f64 x (.f64 x x) #s(literal -4096 binary64))) (fma.f64 x #s(literal 16 binary64) #s(literal 256 binary64)) (.f64 (/.f64 (fma.f64 x (.f64 x #s(literal 1/116 binary64)) #s(literal -64/29 binary64)) (fma.f64 x (.f64 x x) #s(literal -4096 binary64))) (.f64 x x)))
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simplify503.0ms (13%)

Memory

6.9MiB live, 604.9MiB allocated

Algorithm

1×	egg-herbie

Rules

14 084×	`accelerator-lowering-fma.f32`
14 084×	`accelerator-lowering-fma.f64`
3 442×	`-lowering-.f32`
3 442×	`-lowering-.f64`
2 036×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	332
1	89	332
2	196	332
3	413	332
4	1278	332
5	2934	332
6	3723	332
7	4454	332
8	5009	332
9	5481	332
10	6178	332
11	7809	332
0	8043	296

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 84

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))))
(* 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))))
-64/29
(- (* 1/116 (pow x 2)) 64/29)
(- (* 1/116 (pow x 2)) 64/29)
(- (* 1/116 (pow x 2)) 64/29)
(* 1/116 (pow x 2))
(* (pow x 2) (- 1/116 (* 64/29 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/116 (* 64/29 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/116 (* 64/29 (/ 1 (pow x 2)))))
(* 1/116 (pow x 2))
(* (pow x 2) (- 1/116 (* 64/29 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/116 (* 64/29 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/116 (* 64/29 (/ 1 (pow x 2)))))
-256
(- (pow x 2) 256)
(- (pow x 2) 256)
(- (pow x 2) 256)
(pow x 2)
(* (pow x 2) (- 1 (* 256 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 256 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 256 (/ 1 (pow x 2)))))
(pow x 2)
(* (pow x 2) (- 1 (* 256 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 256 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 256 (/ 1 (pow x 2)))))
-16
(- x 16)
(- x 16)
(- x 16)
x
(* x (- 1 (* 16 (/ 1 x))))
(* x (- 1 (* 16 (/ 1 x))))
(* x (- 1 (* 16 (/ 1 x))))
x
(* -1 (* x (- (* 16 (/ 1 x)) 1)))
(* -1 (* x (- (* 16 (/ 1 x)) 1)))
(* -1 (* x (- (* 16 (/ 1 x)) 1)))

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)
(fma.f64 #s(literal 1/116 binary64) x #s(literal 0 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))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64))
(* 1/116 x)
(fma.f64 #s(literal 1/116 binary64) x #s(literal 0 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))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64))
(* 1/116 x)
(fma.f64 #s(literal 1/116 binary64) x #s(literal 0 binary64))
(* 1/116 x)
(fma.f64 #s(literal 1/116 binary64) x #s(literal 0 binary64))
(* 1/116 x)
(fma.f64 #s(literal 1/116 binary64) x #s(literal 0 binary64))
(* 1/116 x)
(fma.f64 #s(literal 1/116 binary64) x #s(literal 0 binary64))
(* 1/116 x)
(fma.f64 #s(literal 1/116 binary64) x #s(literal 0 binary64))
(* 1/116 x)
(fma.f64 #s(literal 1/116 binary64) x #s(literal 0 binary64))
(* 1/116 x)
(fma.f64 #s(literal 1/116 binary64) x #s(literal 0 binary64))
(* 1/116 x)
(fma.f64 #s(literal 1/116 binary64) x #s(literal 0 binary64))
(* 1/116 x)
(fma.f64 #s(literal 1/116 binary64) x #s(literal 0 binary64))
(* 1/116 x)
(fma.f64 #s(literal 1/116 binary64) x #s(literal 0 binary64))
(* 1/116 x)
(fma.f64 #s(literal 1/116 binary64) x #s(literal 0 binary64))
(* 1/116 x)
(fma.f64 #s(literal 1/116 binary64) x #s(literal 0 binary64))
(* 1/116 x)
(fma.f64 #s(literal 1/116 binary64) x #s(literal 0 binary64))
(* 1/116 x)
(fma.f64 #s(literal 1/116 binary64) x #s(literal 0 binary64))
(* 1/116 x)
(fma.f64 #s(literal 1/116 binary64) x #s(literal 0 binary64))
(* 1/116 x)
(fma.f64 #s(literal 1/116 binary64) x #s(literal 0 binary64))
(* 1/116 x)
(fma.f64 #s(literal 1/116 binary64) x #s(literal 0 binary64))
(* 1/116 x)
(fma.f64 #s(literal 1/116 binary64) x #s(literal 0 binary64))
(* 1/116 x)
(fma.f64 #s(literal 1/116 binary64) x #s(literal 0 binary64))
(* 1/116 x)
(fma.f64 #s(literal 1/116 binary64) x #s(literal 0 binary64))
(* 1/116 x)
(fma.f64 #s(literal 1/116 binary64) x #s(literal 0 binary64))
(* 1/116 x)
(fma.f64 #s(literal 1/116 binary64) x #s(literal 0 binary64))
(* 1/116 x)
(fma.f64 #s(literal 1/116 binary64) x #s(literal 0 binary64))
(* 1/116 x)
(fma.f64 #s(literal 1/116 binary64) x #s(literal 0 binary64))
4/29
#s(literal 4/29 binary64)
(+ 4/29 (* 1/116 x))
(fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64))
(+ 4/29 (* 1/116 x))
(fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64))
(+ 4/29 (* 1/116 x))
(fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64))
(* 1/116 x)
(fma.f64 #s(literal 1/116 binary64) x #s(literal 0 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))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64))
(* 1/116 x)
(fma.f64 #s(literal 1/116 binary64) x #s(literal 0 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))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64))
-64/29
#s(literal -64/29 binary64)
(- (* 1/116 (pow x 2)) 64/29)
(fma.f64 #s(literal 1/116 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal -64/29 binary64))
(- (* 1/116 (pow x 2)) 64/29)
(fma.f64 #s(literal 1/116 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal -64/29 binary64))
(- (* 1/116 (pow x 2)) 64/29)
(fma.f64 #s(literal 1/116 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal -64/29 binary64))
(* 1/116 (pow x 2))
(fma.f64 #s(literal 1/116 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow x 2) (- 1/116 (* 64/29 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/116 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal -64/29 binary64))
(* (pow x 2) (- 1/116 (* 64/29 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/116 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal -64/29 binary64))
(* (pow x 2) (- 1/116 (* 64/29 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/116 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal -64/29 binary64))
(* 1/116 (pow x 2))
(fma.f64 #s(literal 1/116 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow x 2) (- 1/116 (* 64/29 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/116 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal -64/29 binary64))
(* (pow x 2) (- 1/116 (* 64/29 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/116 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal -64/29 binary64))
(* (pow x 2) (- 1/116 (* 64/29 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/116 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal -64/29 binary64))
-256
#s(literal -256 binary64)
(- (pow x 2) 256)
(fma.f64 x x #s(literal -256 binary64))
(- (pow x 2) 256)
(fma.f64 x x #s(literal -256 binary64))
(- (pow x 2) 256)
(fma.f64 x x #s(literal -256 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(* (pow x 2) (- 1 (* 256 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -256 binary64))
(* (pow x 2) (- 1 (* 256 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -256 binary64))
(* (pow x 2) (- 1 (* 256 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -256 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(* (pow x 2) (- 1 (* 256 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -256 binary64))
(* (pow x 2) (- 1 (* 256 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -256 binary64))
(* (pow x 2) (- 1 (* 256 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -256 binary64))
-16
#s(literal -16 binary64)
(- x 16)
(+.f64 x #s(literal -16 binary64))
(- x 16)
(+.f64 x #s(literal -16 binary64))
(- x 16)
(+.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
(* -1 (* x (- (* 16 (/ 1 x)) 1)))
(+.f64 x #s(literal -16 binary64))
(* -1 (* x (- (* 16 (/ 1 x)) 1)))
(+.f64 x #s(literal -16 binary64))
(* -1 (* x (- (* 16 (/ 1 x)) 1)))
(+.f64 x #s(literal -16 binary64))

eval81.0ms (2.1%)

Memory: 3.6MiB live, 196.9MiB allocated
Compiler: Compiled 14 644 to 1 259 computations (91.4% saved)

prune52.0ms (1.4%)

Memory

-0.8MiB live, 118.4MiB allocated

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	708	1	709
Fresh	0	0	0
Picked	1	4	5
Done	0	0	0
Total	709	5	714

Accuracy

100.0%

Counts

714 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
✓	50.7%	(/.f64 x #s(literal 116 binary64))
▶	50.4%	(/.f64 #s(literal -64/29 binary64) (+.f64 x #s(literal -16 binary64)))
✓	50.6%	(*.f64 #s(literal 1/116 binary64) x)
✓	50.6%	#s(literal 4/29 binary64)

Compiler

Compiled 21 to 17 computations (19% saved)

simplify7.0ms (0.2%)

Memory

-28.8MiB live, 8.6MiB 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 #s(literal -64/29 binary64) (+.f64 x #s(literal -16 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
(/ -64/29 (+ x -16))
-64/29
(+ x -16)
x
-16

Outputs
(/ -64/29 (+ x -16))
(/.f64 #s(literal -64/29 binary64) (+.f64 x #s(literal -16 binary64)))
-64/29
#s(literal -64/29 binary64)
(+ x -16)
(+.f64 x #s(literal -16 binary64))
x
-16
#s(literal -16 binary64)

localize36.0ms (0.9%)

Memory

5.0MiB live, 41.4MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 x #s(literal -16 binary64))
✓	accuracy	99.9%	(/.f64 #s(literal -64/29 binary64) (+.f64 x #s(literal -16 binary64)))

Samples

12.0ms

256×

valid

Compiler

Compiled 13 to 7 computations (46.2% saved)

Precisions

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

const: 3.0ms (43.7% of total)

ival-div: 2.0ms (29.2% of total)

ival-add: 1.0ms (14.6% 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

1.7MiB live, 1.7MiB allocated

Counts

2 → 24

Calls

Call 1

Inputs
#<alt (/ -64/29 (+ x -16))>
#<alt (+ x -16)>

Outputs
#<alt 4/29>
#<alt (+ 4/29 (* 1/116 x))>
#<alt (+ 4/29 (* x (+ 1/116 (* 1/1856 x))))>
#<alt (+ 4/29 (* x (+ 1/116 (* x (+ 1/1856 (* 1/29696 x))))))>
#<alt (/ -64/29 x)>
#<alt (* -1 (/ (+ 64/29 (* 1024/29 (/ 1 x))) x))>
#<alt (/ (- (* -1 (/ (+ 1024/29 (* 16384/29 (/ 1 x))) x)) 64/29) x)>
#<alt (/ (- (* -1 (/ (+ 16384/29 (* 262144/29 (/ 1 x))) (pow x 2))) (+ 64/29 (* 1024/29 (/ 1 x)))) x)>
#<alt (/ -64/29 x)>
#<alt (* -1 (/ (+ 64/29 (* 1024/29 (/ 1 x))) x))>
#<alt (* -1 (/ (+ 64/29 (+ (* 1024/29 (/ 1 x)) (/ 16384/29 (pow x 2)))) x))>
#<alt (* -1 (/ (+ 64/29 (* -1 (/ (- (* -1 (/ (+ 16384/29 (* 262144/29 (/ 1 x))) x)) 1024/29) x))) x))>
#<alt -16>
#<alt (- x 16)>
#<alt (- x 16)>
#<alt (- x 16)>
#<alt x>
#<alt (* x (- 1 (* 16 (/ 1 x))))>
#<alt (* x (- 1 (* 16 (/ 1 x))))>
#<alt (* x (- 1 (* 16 (/ 1 x))))>
#<alt x>
#<alt (* -1 (* x (- (* 16 (/ 1 x)) 1)))>
#<alt (* -1 (* x (- (* 16 (/ 1 x)) 1)))>
#<alt (* -1 (* x (- (* 16 (/ 1 x)) 1)))>

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	-inf	(/ -64/29 (+ x -16))
0.0ms	x	@	inf	(/ -64/29 (+ x -16))
0.0ms	x	@	0	(/ -64/29 (+ x -16))
0.0ms	x	@	-inf	(+ x -16)
0.0ms	x	@	0	(+ x -16)

rewrite428.0ms (11.1%)

Memory

3.3MiB live, 494.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 054×	`/-lowering-/.f32`
5 054×	`/-lowering-/.f64`
3 430×	`-lowering-.f32`
3 430×	`-lowering-.f64`
2 688×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	8
1	30	8
2	180	8
3	1471	8
0	8403	8

Stop Event

1×	iter limit
1×	node limit

Counts

2 → 333

Calls

Call 1

Inputs
(/ -64/29 (+ x -16))
(+ x -16)

Outputs
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal -64/29 binary64) (+.f64 x #s(literal -16 binary64))))
(+.f64 (.f64 (/.f64 #s(literal -64/29 binary64) (fma.f64 x (.f64 x x) #s(literal -4096 binary64))) (.f64 x x)) (.f64 (/.f64 #s(literal -64/29 binary64) (fma.f64 x (*.f64 x x) #s(literal -4096 binary64))) (fma.f64 x #s(literal 16 binary64) #s(literal 256 binary64))))
(+.f64 (.f64 (/.f64 #s(literal -64/29 binary64) (fma.f64 x (.f64 x x) #s(literal -4096 binary64))) (fma.f64 x #s(literal 16 binary64) #s(literal 256 binary64))) (.f64 (/.f64 #s(literal -64/29 binary64) (fma.f64 x (.f64 x x) #s(literal -4096 binary64))) (*.f64 x x)))
(+.f64 (.f64 (/.f64 #s(literal -64/29 binary64) (fma.f64 x x #s(literal -256 binary64))) x) (.f64 (/.f64 #s(literal -64/29 binary64) (fma.f64 x x #s(literal -256 binary64))) #s(literal 16 binary64)))
(+.f64 (/.f64 (.f64 x x) (.f64 (fma.f64 x (.f64 x x) #s(literal -4096 binary64)) #s(literal -29/64 binary64))) (/.f64 (fma.f64 x #s(literal 16 binary64) #s(literal 256 binary64)) (.f64 (fma.f64 x (*.f64 x x) #s(literal -4096 binary64)) #s(literal -29/64 binary64))))
(+.f64 (/.f64 (fma.f64 x #s(literal 16 binary64) #s(literal 256 binary64)) (.f64 (fma.f64 x (.f64 x x) #s(literal -4096 binary64)) #s(literal -29/64 binary64))) (/.f64 (.f64 x x) (.f64 (fma.f64 x (*.f64 x x) #s(literal -4096 binary64)) #s(literal -29/64 binary64))))
(+.f64 (/.f64 x (.f64 (fma.f64 x x #s(literal -256 binary64)) #s(literal -29/64 binary64))) (/.f64 #s(literal 16 binary64) (.f64 (fma.f64 x x #s(literal -256 binary64)) #s(literal -29/64 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 (+.f64 x #s(literal -16 binary64)) #s(literal -29/64 binary64))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -64/29 binary64) (-.f64 #s(literal 16 binary64) x)))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 #s(literal -64/29 binary64) (-.f64 #s(literal 16 binary64) x)) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 x (fma.f64 x x #s(literal -256 binary64))) #s(literal -29/64 binary64)) (/.f64 (/.f64 #s(literal -16 binary64) (fma.f64 x x #s(literal -256 binary64))) #s(literal -29/64 binary64)))
(-.f64 (/.f64 (/.f64 (fma.f64 x x #s(literal 256 binary64)) (fma.f64 x (.f64 x x) #s(literal -4096 binary64))) #s(literal -29/64 binary64)) (/.f64 (/.f64 (.f64 x #s(literal -16 binary64)) (fma.f64 x (*.f64 x x) #s(literal -4096 binary64))) #s(literal -29/64 binary64)))
(fma.f64 x (/.f64 #s(literal -64/29 binary64) (fma.f64 x x #s(literal -256 binary64))) (/.f64 #s(literal 16 binary64) (*.f64 (fma.f64 x x #s(literal -256 binary64)) #s(literal -29/64 binary64))))
(fma.f64 (.f64 x x) (/.f64 #s(literal -64/29 binary64) (fma.f64 x (.f64 x x) #s(literal -4096 binary64))) (/.f64 (fma.f64 x #s(literal 16 binary64) #s(literal 256 binary64)) (.f64 (fma.f64 x (.f64 x x) #s(literal -4096 binary64)) #s(literal -29/64 binary64))))
(fma.f64 (fma.f64 x #s(literal 16 binary64) #s(literal 256 binary64)) (/.f64 #s(literal -64/29 binary64) (fma.f64 x (.f64 x x) #s(literal -4096 binary64))) (/.f64 (.f64 x x) (.f64 (fma.f64 x (.f64 x x) #s(literal -4096 binary64)) #s(literal -29/64 binary64))))
(fma.f64 (/.f64 #s(literal -64/29 binary64) (fma.f64 x (.f64 x x) #s(literal -4096 binary64))) (.f64 x x) (.f64 (/.f64 #s(literal -64/29 binary64) (fma.f64 x (.f64 x x) #s(literal -4096 binary64))) (fma.f64 x #s(literal 16 binary64) #s(literal 256 binary64))))
(fma.f64 (/.f64 #s(literal -64/29 binary64) (fma.f64 x (.f64 x x) #s(literal -4096 binary64))) (fma.f64 x #s(literal 16 binary64) #s(literal 256 binary64)) (.f64 (/.f64 #s(literal -64/29 binary64) (fma.f64 x (.f64 x x) #s(literal -4096 binary64))) (.f64 x x)))
(fma.f64 (/.f64 #s(literal -64/29 binary64) (fma.f64 x x #s(literal -256 binary64))) x (*.f64 (/.f64 #s(literal -64/29 binary64) (fma.f64 x x #s(literal -256 binary64))) #s(literal 16 binary64)))
(neg.f64 (/.f64 #s(literal -64/29 binary64) (-.f64 #s(literal 16 binary64) x)))
(/.f64 #s(literal -64/29 binary64) (+.f64 x #s(literal -16 binary64)))
(/.f64 (/.f64 #s(literal -64/29 binary64) (+.f64 x #s(literal -16 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal 64/29 binary64) (-.f64 #s(literal 16 binary64) x))
(/.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)) #s(literal -29/64 binary64)))
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(.f64 (/.f64 (fma.f64 x x #s(literal -256 binary64)) (/.f64 (fma.f64 x x #s(literal -256 binary64)) (-.f64 #s(literal 0 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 (/.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)))

simplify850.0ms (22%)

Memory

12.6MiB live, 455.5MiB allocated

Algorithm

1×	egg-herbie

Rules

9 200×	`accelerator-lowering-fma.f32`
9 200×	`accelerator-lowering-fma.f64`
2 100×	`-lowering-.f32`
2 100×	`-lowering-.f64`
1 776×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	140
1	173	136
2	395	130
3	794	130
4	2274	130
5	4356	130
6	6635	130
7	7461	130
8	7997	130
0	8037	124

Stop Event

1×	iter limit
1×	node limit

Counts

24 → 24

Calls

Call 1

Inputs
4/29
(+ 4/29 (* 1/116 x))
(+ 4/29 (* x (+ 1/116 (* 1/1856 x))))
(+ 4/29 (* x (+ 1/116 (* x (+ 1/1856 (* 1/29696 x))))))
(/ -64/29 x)
(* -1 (/ (+ 64/29 (* 1024/29 (/ 1 x))) x))
(/ (- (* -1 (/ (+ 1024/29 (* 16384/29 (/ 1 x))) x)) 64/29) x)
(/ (- (* -1 (/ (+ 16384/29 (* 262144/29 (/ 1 x))) (pow x 2))) (+ 64/29 (* 1024/29 (/ 1 x)))) x)
(/ -64/29 x)
(* -1 (/ (+ 64/29 (* 1024/29 (/ 1 x))) x))
(* -1 (/ (+ 64/29 (+ (* 1024/29 (/ 1 x)) (/ 16384/29 (pow x 2)))) x))
(* -1 (/ (+ 64/29 (* -1 (/ (- (* -1 (/ (+ 16384/29 (* 262144/29 (/ 1 x))) x)) 1024/29) x))) x))
-16
(- x 16)
(- x 16)
(- x 16)
x
(* x (- 1 (* 16 (/ 1 x))))
(* x (- 1 (* 16 (/ 1 x))))
(* x (- 1 (* 16 (/ 1 x))))
x
(* -1 (* x (- (* 16 (/ 1 x)) 1)))
(* -1 (* x (- (* 16 (/ 1 x)) 1)))
(* -1 (* x (- (* 16 (/ 1 x)) 1)))

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 (* x (+ 1/116 (* 1/1856 x))))
(fma.f64 x (fma.f64 x #s(literal 1/1856 binary64) #s(literal 1/116 binary64)) #s(literal 4/29 binary64))
(+ 4/29 (* x (+ 1/116 (* x (+ 1/1856 (* 1/29696 x))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/29696 binary64) #s(literal 1/1856 binary64)) #s(literal 1/116 binary64)) #s(literal 4/29 binary64))
(/ -64/29 x)
(/.f64 #s(literal -64/29 binary64) x)
(* -1 (/ (+ 64/29 (* 1024/29 (/ 1 x))) x))
(/.f64 (+.f64 #s(literal -64/29 binary64) (/.f64 #s(literal -1024/29 binary64) x)) x)
(/ (- (* -1 (/ (+ 1024/29 (* 16384/29 (/ 1 x))) x)) 64/29) x)
(/.f64 (+.f64 #s(literal -64/29 binary64) (/.f64 (+.f64 #s(literal -1024/29 binary64) (/.f64 #s(literal -16384/29 binary64) x)) x)) x)
(/ (- (* -1 (/ (+ 16384/29 (* 262144/29 (/ 1 x))) (pow x 2))) (+ 64/29 (* 1024/29 (/ 1 x)))) x)
(/.f64 (-.f64 #s(literal -64/29 binary64) (/.f64 (+.f64 #s(literal 1024/29 binary64) (/.f64 (+.f64 #s(literal 16384/29 binary64) (/.f64 #s(literal 262144/29 binary64) x)) x)) x)) x)
(/ -64/29 x)
(/.f64 #s(literal -64/29 binary64) x)
(* -1 (/ (+ 64/29 (* 1024/29 (/ 1 x))) x))
(/.f64 (+.f64 #s(literal -64/29 binary64) (/.f64 #s(literal -1024/29 binary64) x)) x)
(* -1 (/ (+ 64/29 (+ (* 1024/29 (/ 1 x)) (/ 16384/29 (pow x 2)))) x))
(/.f64 (+.f64 #s(literal -64/29 binary64) (/.f64 (+.f64 #s(literal -1024/29 binary64) (/.f64 #s(literal -16384/29 binary64) x)) x)) x)
(* -1 (/ (+ 64/29 (* -1 (/ (- (* -1 (/ (+ 16384/29 (* 262144/29 (/ 1 x))) x)) 1024/29) x))) x))
(/.f64 (-.f64 #s(literal -64/29 binary64) (/.f64 (+.f64 #s(literal 1024/29 binary64) (/.f64 (+.f64 #s(literal 16384/29 binary64) (/.f64 #s(literal 262144/29 binary64) x)) x)) x)) x)
-16
#s(literal -16 binary64)
(- x 16)
(+.f64 x #s(literal -16 binary64))
(- x 16)
(+.f64 x #s(literal -16 binary64))
(- x 16)
(+.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
(* -1 (* x (- (* 16 (/ 1 x)) 1)))
(+.f64 x #s(literal -16 binary64))
(* -1 (* x (- (* 16 (/ 1 x)) 1)))
(+.f64 x #s(literal -16 binary64))
(* -1 (* x (- (* 16 (/ 1 x)) 1)))
(+.f64 x #s(literal -16 binary64))

eval197.0ms (5.1%)

Memory: -9.2MiB live, 108.2MiB allocated
Compiler: Compiled 9 955 to 1 103 computations (88.9% saved)

prune43.0ms (1.1%)

Memory

11.8MiB live, 127.0MiB allocated

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	357	0	357
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	357	5	362

Accuracy

100.0%

Counts

362 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
✓	50.7%	(/.f64 x #s(literal 116 binary64))
✓	50.4%	(/.f64 #s(literal -64/29 binary64) (+.f64 x #s(literal -16 binary64)))
✓	50.6%	(*.f64 #s(literal 1/116 binary64) x)
✓	50.6%	#s(literal 4/29 binary64)

Compiler

Compiled 53 to 35 computations (34% saved)

regimes10.0ms (0.3%)

Memory

-25.4MiB live, 19.2MiB allocated

Counts

7 → 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 #s(literal -64/29 binary64) (+.f64 x #s(literal -16 binary64)))
(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))
(/.f64 (*.f64 #s(literal 1/116 binary64) (fma.f64 x x #s(literal -256 binary64))) (+.f64 x #s(literal -16 binary64)))

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

Calls

3 calls:

5.0ms	(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))
3.0ms	x
3.0ms	(+.f64 x #s(literal 16 binary64))

Results

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

Compiler

Compiled 12 to 9 computations (25% saved)

regimes3.0ms (0.1%)

Memory

5.8MiB live, 5.8MiB 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 x #s(literal 116 binary64))
(/.f64 #s(literal -64/29 binary64) (+.f64 x #s(literal -16 binary64)))

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
100.0%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Memory

7.0MiB live, 7.1MiB 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

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
97.7%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes1.0ms (0%)

Memory

5.5MiB live, 5.5MiB 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

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
50.6%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

bsearch23.0ms (0.6%)

Memory

-19.8MiB live, 58.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	1.4450851027909322e-5	3806.5603511604318
11.0ms	-311646456.603167	-0.012325962197496505

Samples

11.0ms

304×

valid

Compiler

Compiled 161 to 142 computations (11.8% saved)

Precisions

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

ival-div: 3.0ms (59.2% of total)

ival-add: 2.0ms (39.4% of total)

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

exact: 0.0ms (0% of total)

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

simplify8.0ms (0.2%)

Memory

21.6MiB live, 21.6MiB 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	14	23
1	19	23

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

soundness104.0ms (2.7%)

Memory

-22.7MiB live, 138.0MiB 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	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
1	31	8
2	175	8
3	1443	8
0	8417	7

Stop Event

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

Compiler

Compiled 39 to 25 computations (35.9% saved)

preprocess29.0ms (0.8%)

Memory: 28.5MiB live, 65.6MiB allocated
Compiler: Compiled 64 to 38 computations (40.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	9	17
1	22	15
2	37	15
3	78	15
4	168	15
5	259	15
6	298	15
7	320	15
8	336	15
9	349	15
10	353	15
0	5	5
1	6	5
0	6	5

Iter	Nodes	Cost
0	9	17
1	22	15
2	37	15
3	78	15
4	168	15
5	259	15
6	298	15
7	320	15
8	336	15
9	349	15
10	353	15
0	5	5
1	6	5
0	6	5

analyze0.0ms (0%)

sample414.0ms (10.7%)

preprocess22.0ms (0.6%)

explain53.0ms (1.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify3.0ms (0.1%)

localize14.0ms (0.4%)

series1.0ms (0%)

rewrite347.0ms (9%)

simplify10.0ms (0.3%)

eval60.0ms (1.6%)

prune52.0ms (1.3%)

simplify7.0ms (0.2%)

localize90.0ms (2.3%)

series5.0ms (0.1%)

rewrite402.0ms (10.4%)

simplify503.0ms (13%)

eval81.0ms (2.1%)

prune52.0ms (1.4%)

simplify7.0ms (0.2%)

localize36.0ms (0.9%)

series1.0ms (0%)

rewrite428.0ms (11.1%)

simplify850.0ms (22%)

eval197.0ms (5.1%)

prune43.0ms (1.1%)

regimes10.0ms (0.3%)

regimes3.0ms (0.1%)

regimes2.0ms (0%)

regimes1.0ms (0%)

bsearch23.0ms (0.6%)

simplify8.0ms (0.2%)

soundness104.0ms (2.7%)

preprocess29.0ms (0.8%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	9	17
1	22	15
2	37	15
3	78	15
4	168	15
5	259	15
6	298	15
7	320	15
8	336	15
9	349	15
10	353	15
0	5	5
1	6	5
0	6	5