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)

sample561.0ms (18.3%)

Memory

43.0MiB live, 747.6MiB allocated

Samples

355.0ms

8 256×

valid

Precisions

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

ival-div: 57.0ms (45.4% of total)

ival-add: 52.0ms (41.5% of total)

exact: 8.0ms (6.4% of total)

ival-true: 5.0ms (4% of total)

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

Bogosity

preprocess30.0ms (1%)

Memory

-4.2MiB live, 38.5MiB 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))

explain54.0ms (1.8%)

Memory

12.5MiB live, 122.7MiB 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: 8.0ms

ival-div: 4.0ms (50.5% of total)

ival-add: 3.0ms (37.8% of total)

exact: 1.0ms (12.6% of total)

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

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

eval0.0ms (0%)

Memory: 0.9MiB live, 0.9MiB allocated
Compiler: Compiled 6 to 5 computations (16.7% saved)

prune1.0ms (0%)

Memory

1.7MiB live, 1.7MiB 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)

simplify9.0ms (0.3%)

Memory

-36.2MiB live, 8.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

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

Rules

4×	`+-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 (0.5%)

Memory

-0.1MiB live, 38.7MiB 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 (52% of total)

ival-add: 1.0ms (26% 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

3.3MiB live, 3.3MiB 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)

rewrite494.0ms (16.1%)

Memory

-0.4MiB live, 572.0MiB 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) (+.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal 1/116 binary64))))
(+.f64 (/.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -16 binary64))) #s(literal 116 binary64)) (neg.f64 (/.f64 (/.f64 #s(literal 256 binary64) (+.f64 x #s(literal -16 binary64))) #s(literal 116 binary64))))
(+.f64 (/.f64 (.f64 x x) (.f64 #s(literal 116 binary64) (+.f64 x #s(literal -16 binary64)))) (neg.f64 (/.f64 #s(literal 256 binary64) (*.f64 #s(literal 116 binary64) (+.f64 x #s(literal -16 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 (log.f64 (/.f64 #s(literal 116 binary64) (+.f64 x #s(literal 16 binary64)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal -4/29 binary64) (/.f64 x #s(literal 116 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal -4/29 binary64) (/.f64 x #s(literal 116 binary64))) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -16 binary64))) #s(literal 116 binary64)) (/.f64 (/.f64 #s(literal 256 binary64) (+.f64 x #s(literal -16 binary64))) #s(literal 116 binary64)))
(-.f64 (/.f64 (.f64 x x) (.f64 #s(literal 116 binary64) (+.f64 x #s(literal -16 binary64)))) (/.f64 #s(literal 256 binary64) (*.f64 #s(literal 116 binary64) (+.f64 x #s(literal -16 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))) (+.f64 (.f64 x (.f64 x x)) #s(literal -4096 binary64))) (.f64 #s(literal 116 binary64) (+.f64 #s(literal 256 binary64) (.f64 x (+.f64 x #s(literal -16 binary64)))))) (/.f64 (/.f64 #s(literal 16777216 binary64) (+.f64 (.f64 x (.f64 x x)) #s(literal -4096 binary64))) (.f64 #s(literal 116 binary64) (+.f64 #s(literal 256 binary64) (*.f64 x (+.f64 x #s(literal -16 binary64)))))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (+.f64 (.f64 x (.f64 x x)) #s(literal -4096 binary64))) (.f64 #s(literal -116 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 256 binary64) (.f64 x (+.f64 x #s(literal -16 binary64))))))) (/.f64 (/.f64 #s(literal 16777216 binary64) (+.f64 (.f64 x (.f64 x x)) #s(literal -4096 binary64))) (.f64 #s(literal -116 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 256 binary64) (*.f64 x (+.f64 x #s(literal -16 binary64))))))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (+.f64 (+.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 65536 binary64)) (.f64 x (.f64 x #s(literal 256 binary64))))) (.f64 #s(literal 116 binary64) (+.f64 x #s(literal -16 binary64)))) (/.f64 (/.f64 #s(literal 16777216 binary64) (+.f64 (+.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 65536 binary64)) (.f64 x (.f64 x #s(literal 256 binary64))))) (*.f64 #s(literal 116 binary64) (+.f64 x #s(literal -16 binary64)))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 (.f64 x x) #s(literal 256 binary64))) (.f64 #s(literal 116 binary64) (+.f64 x #s(literal -16 binary64)))) (/.f64 (/.f64 #s(literal 65536 binary64) (+.f64 (.f64 x x) #s(literal 256 binary64))) (*.f64 #s(literal 116 binary64) (+.f64 x #s(literal -16 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (.f64 #s(literal 116 binary64) (+.f64 #s(literal 256 binary64) (.f64 x (+.f64 x #s(literal -16 binary64))))))) (/.f64 (+.f64 (.f64 x (.f64 x x)) #s(literal 4096 binary64)) (-.f64 #s(literal 0 binary64) (.f64 #s(literal 116 binary64) (+.f64 #s(literal 256 binary64) (.f64 x (+.f64 x #s(literal -16 binary64))))))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 #s(literal 116 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 256 binary64) (.f64 x (+.f64 x #s(literal -16 binary64))))))) (/.f64 (+.f64 (.f64 x (.f64 x x)) #s(literal 4096 binary64)) (.f64 #s(literal 116 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 256 binary64) (.f64 x (+.f64 x #s(literal -16 binary64))))))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 #s(literal -116 binary64) (+.f64 #s(literal 256 binary64) (.f64 x (+.f64 x #s(literal -16 binary64)))))) (-.f64 #s(literal -4/29 binary64) (/.f64 x #s(literal 116 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 #s(literal 116 binary64) (+.f64 x #s(literal -16 binary64))))) (-.f64 #s(literal -4/29 binary64) (/.f64 x #s(literal 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 (+.f64 (.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 #s(literal -4/29 binary64) (/.f64 x #s(literal 116 binary64))))
(-.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 #s(literal 116 binary64) (+.f64 #s(literal 256 binary64) (.f64 x (+.f64 x #s(literal -16 binary64))))) (+.f64 (.f64 x (.f64 x x)) #s(literal -4096 binary64)))) (/.f64 #s(literal 16777216 binary64) (.f64 (.f64 #s(literal 116 binary64) (+.f64 #s(literal 256 binary64) (.f64 x (+.f64 x #s(literal -16 binary64))))) (+.f64 (.f64 x (*.f64 x x)) #s(literal -4096 binary64)))))
(-.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 #s(literal 116 binary64) (+.f64 x #s(literal -16 binary64))) (+.f64 (+.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 65536 binary64)) (.f64 x (.f64 x #s(literal 256 binary64)))))) (/.f64 #s(literal 16777216 binary64) (.f64 (.f64 #s(literal 116 binary64) (+.f64 x #s(literal -16 binary64))) (+.f64 (+.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 65536 binary64)) (.f64 x (*.f64 x #s(literal 256 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 (.f64 #s(literal 116 binary64) (+.f64 x #s(literal -16 binary64))) (+.f64 (.f64 x x) #s(literal 256 binary64)))) (/.f64 #s(literal 65536 binary64) (.f64 (.f64 #s(literal 116 binary64) (+.f64 x #s(literal -16 binary64))) (+.f64 (*.f64 x x) #s(literal 256 binary64)))))
(-.f64 (/.f64 (/.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -16 binary64))) #s(literal 116 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 (/.f64 #s(literal 256 binary64) (+.f64 x #s(literal -16 binary64))) #s(literal 116 binary64)) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (.f64 x x) (.f64 #s(literal 116 binary64) (+.f64 x #s(literal -16 binary64)))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 256 binary64) (*.f64 #s(literal 116 binary64) (+.f64 x #s(literal -16 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) (.f64 #s(literal 116 binary64) (+.f64 x #s(literal -16 binary64)))) (neg.f64 (/.f64 #s(literal 256 binary64) (*.f64 #s(literal 116 binary64) (+.f64 x #s(literal -16 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 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) (*.f64 #s(literal 116 binary64) (+.f64 x #s(literal -16 binary64))))))
(fma.f64 (/.f64 x #s(literal 116 binary64)) (/.f64 x (+.f64 x #s(literal -16 binary64))) (neg.f64 (/.f64 #s(literal 256 binary64) (*.f64 #s(literal 116 binary64) (+.f64 x #s(literal -16 binary64))))))
(neg.f64 (-.f64 #s(literal -4/29 binary64) (/.f64 x #s(literal 116 binary64))))
(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))
(/.f64 (+.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal 1/116 binary64))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal -16 binary64) x) #s(literal -116 binary64))
(/.f64 (+.f64 (.f64 x (.f64 x x)) #s(literal 4096 binary64)) (.f64 #s(literal 116 binary64) (+.f64 #s(literal 256 binary64) (.f64 x (+.f64 x #s(literal -16 binary64))))))
(/.f64 (+.f64 (.f64 x (.f64 x x)) #s(literal 4096 binary64)) (.f64 #s(literal -116 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 256 binary64) (.f64 x (+.f64 x #s(literal -16 binary64)))))))
(/.f64 (+.f64 (.f64 x (.f64 x x)) #s(literal 4096 binary64)) (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 #s(literal 116 binary64) (+.f64 #s(literal 256 binary64) (.f64 x (+.f64 x #s(literal -16 binary64))))))))
(/.f64 (+.f64 (.f64 x (.f64 x x)) #s(literal 4096 binary64)) (neg.f64 (.f64 #s(literal 116 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 256 binary64) (.f64 x (+.f64 x #s(literal -16 binary64))))))))
(/.f64 (+.f64 (.f64 x (.f64 x x)) #s(literal 4096 binary64)) (neg.f64 (.f64 #s(literal -116 binary64) (+.f64 #s(literal 256 binary64) (.f64 x (+.f64 x #s(literal -16 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) (+.f64 #s(literal 256 binary64) (.f64 x (+.f64 x #s(literal -16 binary64)))))) (+.f64 (.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) (+.f64 #s(literal 256 binary64) (.f64 x (+.f64 x #s(literal -16 binary64)))))) (-.f64 #s(literal -4096 binary64) (.f64 x (.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -116 binary64) (+.f64 #s(literal 256 binary64) (.f64 x (+.f64 x #s(literal -16 binary64))))) (-.f64 #s(literal -4096 binary64) (.f64 x (.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 116 binary64) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 16 binary64))) (+.f64 (-.f64 #s(literal 0 binary64) (.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 (-.f64 #s(literal 0 binary64) (.f64 x x)) #s(literal 256 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 #s(literal 116 binary64) (+.f64 #s(literal 256 binary64) (.f64 x (+.f64 x #s(literal -16 binary64))))) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (+.f64 #s(literal 16777216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -4096 binary64))))) (+.f64 (.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) (+.f64 #s(literal 256 binary64) (.f64 x (+.f64 x #s(literal -16 binary64))))) (+.f64 (.f64 x (.f64 x x)) #s(literal -4096 binary64))) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -16777216 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 #s(literal 116 binary64) (+.f64 x #s(literal -16 binary64))) (+.f64 (+.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 65536 binary64)) (.f64 x (.f64 x #s(literal 256 binary64))))) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -16777216 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 116 binary64) (-.f64 #s(literal 16 binary64) x)) (-.f64 #s(literal 256 binary64) (.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 #s(literal 116 binary64) (+.f64 x #s(literal -16 binary64))) (+.f64 (.f64 x x) #s(literal 256 binary64))) (+.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal -65536 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 256 binary64) (.f64 x (+.f64 x #s(literal -16 binary64))))) (.f64 #s(literal 1/116 binary64) (-.f64 #s(literal -4096 binary64) (.f64 x (.f64 x x))))))
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(.f64 (pow.f64 (/.f64 (+.f64 x #s(literal -16 binary64)) (+.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal -65536 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) #s(literal 256 binary64))))
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(.f64 (/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal 68719476736 binary64)) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.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 #s(literal 256 binary64) (.f64 x #s(literal -16 binary64))))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (+.f64 #s(literal 16777216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -4096 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (.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 x x)))))))
(.f64 (/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal 68719476736 binary64)) (.f64 (+.f64 #s(literal 256 binary64) (.f64 x (+.f64 x #s(literal -16 binary64)))) (+.f64 (+.f64 (.f64 x x) #s(literal -256 binary64)) (.f64 x #s(literal 16 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (+.f64 #s(literal 16777216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -4096 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (.f64 x x) #s(literal -256 binary64)) (*.f64 x #s(literal 16 binary64))))))
(.f64 (/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -16777216 binary64)) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.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 #s(literal 256 binary64) (.f64 x #s(literal -16 binary64))))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x x)) #s(literal -4096 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (.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 x x)))))))
(.f64 (/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -16777216 binary64)) (.f64 (+.f64 #s(literal 256 binary64) (.f64 x (+.f64 x #s(literal -16 binary64)))) (+.f64 (+.f64 (.f64 x x) #s(literal -256 binary64)) (.f64 x #s(literal 16 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x x)) #s(literal -4096 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (.f64 x x) #s(literal -256 binary64)) (.f64 x #s(literal 16 binary64))))))
(.f64 (/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -16777216 binary64)) (/.f64 (+.f64 (.f64 x x) #s(literal -256 binary64)) (+.f64 (.f64 x (.f64 x x)) #s(literal 4096 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 65536 binary64)) (.f64 x (.f64 x #s(literal 256 binary64))))) (+.f64 #s(literal 256 binary64) (*.f64 x (+.f64 x #s(literal -16 binary64))))))
(.f64 (/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -16777216 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 65536 binary64)) (.f64 x (*.f64 x #s(literal 256 binary64))))) (+.f64 x #s(literal -16 binary64))))
(.f64 (/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -16777216 binary64)) (/.f64 (+.f64 (.f64 x x) #s(literal -256 binary64)) (-.f64 #s(literal -4096 binary64) (.f64 x (.f64 x x))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 65536 binary64)) (.f64 x (.f64 x #s(literal 256 binary64))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 256 binary64) (*.f64 x (+.f64 x #s(literal -16 binary64)))))))
(.f64 (/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -16777216 binary64)) (-.f64 (/.f64 #s(literal 0 binary64) (+.f64 (.f64 x x) #s(literal -256 binary64))) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 65536 binary64)) (.f64 x (.f64 x #s(literal 256 binary64))))) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 16 binary64))))
(.f64 (/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -16777216 binary64)) (/.f64 (+.f64 (.f64 x x) #s(literal -256 binary64)) (-.f64 #s(literal 256 binary64) (.f64 x x)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 65536 binary64)) (.f64 x (*.f64 x #s(literal 256 binary64))))) (-.f64 #s(literal 16 binary64) x)))
(.f64 (/.f64 (+.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal -65536 binary64)) (+.f64 (.f64 x (.f64 x x)) #s(literal -4096 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) #s(literal 256 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (+.f64 #s(literal 256 binary64) (*.f64 x #s(literal 16 binary64)))))))
(.f64 (/.f64 (+.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal -65536 binary64)) (/.f64 (+.f64 (.f64 x x) #s(literal -256 binary64)) (+.f64 (.f64 x (.f64 x x)) #s(literal 4096 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) #s(literal 256 binary64))) (+.f64 #s(literal 256 binary64) (*.f64 x (+.f64 x #s(literal -16 binary64))))))
(.f64 (/.f64 (+.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal -65536 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) #s(literal 256 binary64))) (+.f64 x #s(literal -16 binary64))))
(.f64 (/.f64 (+.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal -65536 binary64)) (/.f64 (+.f64 (.f64 x x) #s(literal -256 binary64)) (-.f64 #s(literal -4096 binary64) (.f64 x (.f64 x x))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) #s(literal 256 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 256 binary64) (*.f64 x (+.f64 x #s(literal -16 binary64)))))))
(.f64 (/.f64 (+.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal -65536 binary64)) (-.f64 (/.f64 #s(literal 0 binary64) (+.f64 (.f64 x x) #s(literal -256 binary64))) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) #s(literal 256 binary64))) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 16 binary64))))
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(.f64 (/.f64 (+.f64 (.f64 x x) #s(literal -256 binary64)) (/.f64 (+.f64 (.f64 x x) #s(literal -256 binary64)) (+.f64 (.f64 x (.f64 x x)) #s(literal 4096 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 256 binary64) (.f64 x (+.f64 x #s(literal -16 binary64))))))
(.f64 (/.f64 (+.f64 (.f64 x x) #s(literal -256 binary64)) (/.f64 (+.f64 (.f64 x x) #s(literal -256 binary64)) (-.f64 #s(literal -4096 binary64) (.f64 x (.f64 x x))))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 256 binary64) (.f64 x (+.f64 x #s(literal -16 binary64))))))
(.f64 (/.f64 (+.f64 (.f64 x x) #s(literal -256 binary64)) (-.f64 (/.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) #s(literal -256 binary64))) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal -16 binary64))))
(.f64 (/.f64 (+.f64 (.f64 x x) #s(literal -256 binary64)) (/.f64 (+.f64 (.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)))

simplify13.0ms (0.4%)

Memory

-15.3MiB live, 24.9MiB 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))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 1/116 binary64) x))
(+ 4/29 (* 1/116 x))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 1/116 binary64) x))
(+ 4/29 (* 1/116 x))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 1/116 binary64) x))
(* 1/116 x)
(*.f64 #s(literal 1/116 binary64) x)
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 1/116 binary64) x))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 1/116 binary64) x))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 1/116 binary64) x))
(* 1/116 x)
(*.f64 #s(literal 1/116 binary64) x)
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 1/116 binary64) x))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 1/116 binary64) x))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 1/116 binary64) x))
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 (1.6%)

Memory: 24.7MiB live, 134.8MiB allocated
Compiler: Compiled 11 065 to 1 238 computations (88.8% saved)

prune161.0ms (5.3%)

Memory

16.3MiB live, 138.8MiB allocated

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	437	3	440
Fresh	0	0	0
Picked	0	1	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
✓	100.0%	(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))
▶	52.5%	(/.f64 x #s(literal 116 binary64))
▶	99.9%	(*.f64 (-.f64 #s(literal -16 binary64) x) #s(literal -1/116 binary64))
▶	48.5%	#s(literal 4/29 binary64)

Compiler

Compiled 18 to 15 computations (16.7% saved)

simplify9.0ms (0.3%)

Memory

-22.7MiB live, 15.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Rules

60×	`accelerator-lowering-fma.f32`
60×	`accelerator-lowering-fma.f64`
52×	`+-lowering-+.f64`
52×	`+-lowering-+.f32`
40×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	11	17
2	22	17
3	37	17
4	57	17
5	74	17
6	103	17
7	131	17
8	144	17
9	148	17
0	148	16

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize34.0ms (1.1%)

Memory

9.2MiB live, 59.3MiB allocated

Localize:

Found 3 expressions of interest:

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

Samples

19.0ms

256×

valid

Compiler

Compiled 19 to 10 computations (47.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

const: 6.0ms (50.2% of total)

ival-div: 2.0ms (16.7% of total)

ival-mult: 2.0ms (16.7% of total)

ival-sub: 1.0ms (8.4% 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

4.4MiB live, 4.4MiB allocated

Counts

3 → 36

Calls

Call 1

Inputs
#<alt (* (- -16 x) -1/116)>
#<alt (- -16 x)>
#<alt (/ x 116)>

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 (- (* -1 x) 16)>
#<alt (- (* -1 x) 16)>
#<alt (- (* -1 x) 16)>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* 16 (/ 1 x)))))>
#<alt (* -1 (* x (+ 1 (* 16 (/ 1 x)))))>
#<alt (* -1 (* x (+ 1 (* 16 (/ 1 x)))))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* 16 (/ 1 x)))))>
#<alt (* -1 (* x (+ 1 (* 16 (/ 1 x)))))>
#<alt (* -1 (* x (+ 1 (* 16 (/ 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)>

Calls

9 calls:

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

rewrite455.0ms (14.9%)

Memory

-15.6MiB live, 455.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 020×	`accelerator-lowering-fma.f32`
4 020×	`accelerator-lowering-fma.f64`
3 554×	`/-lowering-/.f32`
3 554×	`/-lowering-/.f64`
3 304×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	34	11
2	177	11
3	1336	11
0	9299	10

Stop Event

1×	iter limit
1×	node limit

Counts

3 → 340

Calls

Call 1

Inputs
(* (- -16 x) -1/116)
(- -16 x)
(/ x 116)

Outputs
(+.f64 (/.f64 x #s(literal 116 binary64)) #s(literal 4/29 binary64))
(+.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal 116 binary64)))
(-.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal -116 binary64)))
(-.f64 (/.f64 #s(literal 16/841 binary64) (+.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal -116 binary64)))) (/.f64 (.f64 (.f64 x x) #s(literal 1/13456 binary64)) (+.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal -116 binary64)))))
(fma.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 -1/116 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) #s(literal 4/29 binary64))
(fma.f64 (/.f64 x #s(literal 116 binary64)) #s(literal 1 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 #s(literal 1 binary64) (/.f64 x #s(literal 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 binary64) (/.f64 x #s(literal -116 binary64)) #s(literal 4/29 binary64))
(fma.f64 (pow.f64 (/.f64 x #s(literal 116 binary64)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 x #s(literal 116 binary64)) #s(literal 1/2 binary64)) #s(literal 4/29 binary64))
(fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) #s(literal -1/116 binary64) #s(literal 4/29 binary64))
(neg.f64 (*.f64 (+.f64 x #s(literal 16 binary64)) #s(literal -1/116 binary64)))
(neg.f64 (*.f64 #s(literal -1/116 binary64) (+.f64 x #s(literal 16 binary64))))
(neg.f64 (.f64 (/.f64 (.f64 #s(literal -1/116 binary64) (+.f64 #s(literal 256 binary64) (.f64 x x))) (+.f64 #s(literal 256 binary64) (.f64 x x))) (+.f64 x #s(literal 16 binary64))))
(/.f64 #s(literal -1/116 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -16 binary64) x)))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal -116 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -16 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -16 binary64) x)) #s(literal -1/116 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -116 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -16 binary64) x))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 16/841 binary64) (+.f64 (.f64 (.f64 x x) #s(literal 1/13456 binary64)) (.f64 #s(literal -4/29 binary64) (/.f64 x #s(literal 116 binary64))))) (+.f64 #s(literal 64/24389 binary64) (/.f64 (.f64 x (*.f64 x x)) #s(literal 1560896 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal -116 binary64))) (-.f64 #s(literal 16/841 binary64) (.f64 (.f64 x x) #s(literal 1/13456 binary64)))))
(/.f64 #s(literal 1/116 binary64) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -16 binary64) x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 #s(literal -116 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -16 binary64) x)))))
(/.f64 (+.f64 #s(literal 1024/29 binary64) (.f64 #s(literal -1/116 binary64) (.f64 x (.f64 x x)))) (+.f64 #s(literal 256 binary64) (.f64 x (+.f64 #s(literal -16 binary64) x))))
(/.f64 (.f64 #s(literal -1/116 binary64) (+.f64 #s(literal 256 binary64) (.f64 x x))) (+.f64 #s(literal -16 binary64) x))
(/.f64 (.f64 #s(literal -1/116 binary64) (+.f64 #s(literal 4096 binary64) (.f64 x (.f64 x x)))) (+.f64 (.f64 x (+.f64 #s(literal -16 binary64) x)) #s(literal -256 binary64)))
(/.f64 (.f64 #s(literal 1/116 binary64) (+.f64 #s(literal 256 binary64) (.f64 x x))) (+.f64 x #s(literal 16 binary64)))
(/.f64 (+.f64 #s(literal 64/24389 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 1560896 binary64))) (+.f64 #s(literal 16/841 binary64) (+.f64 (.f64 (.f64 x x) #s(literal 1/13456 binary64)) (*.f64 #s(literal -4/29 binary64) (/.f64 x #s(literal 116 binary64))))))
(/.f64 (-.f64 #s(literal 16/841 binary64) (.f64 (.f64 x x) #s(literal 1/13456 binary64))) (+.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal -116 binary64))))
(/.f64 (/.f64 (.f64 #s(literal -1/116 binary64) (+.f64 #s(literal 256 binary64) (.f64 x x))) (+.f64 #s(literal 256 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -16 binary64) x)))
(/.f64 (neg.f64 (.f64 #s(literal -1/116 binary64) (+.f64 #s(literal 4096 binary64) (.f64 x (.f64 x x))))) (+.f64 #s(literal 256 binary64) (.f64 x (+.f64 #s(literal -16 binary64) x))))
(/.f64 (neg.f64 (.f64 #s(literal 1/116 binary64) (+.f64 #s(literal 256 binary64) (.f64 x x)))) (+.f64 #s(literal -16 binary64) x))
(/.f64 (neg.f64 (+.f64 #s(literal 64/24389 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 1560896 binary64)))) (neg.f64 (+.f64 #s(literal 16/841 binary64) (+.f64 (.f64 (.f64 x x) #s(literal 1/13456 binary64)) (*.f64 #s(literal -4/29 binary64) (/.f64 x #s(literal 116 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 16/841 binary64) (.f64 (.f64 x x) #s(literal 1/13456 binary64)))) (neg.f64 (+.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal -116 binary64)))))
(/.f64 (+.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal 1560896 binary64)) #s(literal 64/24389 binary64)) (+.f64 (.f64 (.f64 x x) #s(literal 1/13456 binary64)) (-.f64 #s(literal 16/841 binary64) (*.f64 (/.f64 x #s(literal 116 binary64)) #s(literal 4/29 binary64)))))
(/.f64 (-.f64 #s(literal 64/24389 binary64) (pow.f64 (/.f64 x #s(literal -116 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 16/841 binary64) (+.f64 (.f64 (.f64 x x) #s(literal 1/13456 binary64)) (*.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal -116 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/13456 binary64)) #s(literal 16/841 binary64)) (-.f64 (/.f64 x #s(literal 116 binary64)) #s(literal 4/29 binary64)))
(pow.f64 (*.f64 #s(literal -116 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -16 binary64) x))) #s(literal -1 binary64))
(*.f64 #s(literal -1/116 binary64) (+.f64 #s(literal -16 binary64) x))
(.f64 (+.f64 #s(literal -4096 binary64) (.f64 x (.f64 x x))) (.f64 (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 x (+.f64 #s(literal -16 binary64) x)) #s(literal -256 binary64))) #s(literal -1/116 binary64)))
(.f64 (+.f64 #s(literal -4096 binary64) (.f64 x (.f64 x x))) (/.f64 #s(literal 1/116 binary64) (+.f64 (.f64 x (+.f64 #s(literal -16 binary64) x)) #s(literal -256 binary64))))
(*.f64 #s(literal 1 binary64) (+.f64 (/.f64 x #s(literal 116 binary64)) #s(literal 4/29 binary64)))
(*.f64 #s(literal 1/116 binary64) (+.f64 x #s(literal 16 binary64)))
(.f64 (+.f64 #s(literal 256 binary64) (.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -16 binary64) x)) #s(literal -1/116 binary64)))
(.f64 (+.f64 #s(literal 256 binary64) (.f64 x x)) (/.f64 #s(literal -1/116 binary64) (+.f64 #s(literal -16 binary64) x)))
(*.f64 (+.f64 #s(literal -16 binary64) x) #s(literal -1/116 binary64))
(.f64 (+.f64 #s(literal 1024/29 binary64) (.f64 #s(literal -1/116 binary64) (.f64 x (.f64 x x)))) (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 x (+.f64 #s(literal -16 binary64) x)) #s(literal -256 binary64))))
(.f64 (.f64 #s(literal -1/116 binary64) (+.f64 #s(literal 256 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -16 binary64) x)))
(.f64 (.f64 #s(literal -1/116 binary64) (+.f64 #s(literal 4096 binary64) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (+.f64 #s(literal -16 binary64) x)) #s(literal -256 binary64))))
(.f64 (.f64 #s(literal 1/116 binary64) (+.f64 #s(literal 256 binary64) (*.f64 x x))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -16 binary64) x)))
(.f64 (+.f64 #s(literal 64/24389 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 1560896 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 16/841 binary64) (+.f64 (.f64 (.f64 x x) #s(literal 1/13456 binary64)) (.f64 #s(literal -4/29 binary64) (/.f64 x #s(literal 116 binary64)))))))
(.f64 (-.f64 #s(literal 16/841 binary64) (.f64 (*.f64 x x) #s(literal 1/13456 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal -116 binary64)))))
(.f64 (/.f64 (+.f64 #s(literal -256 binary64) (.f64 x x)) (+.f64 #s(literal 4096 binary64) (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/116 binary64) (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 x (+.f64 #s(literal -16 binary64) x)) #s(literal -256 binary64)))))
(.f64 (/.f64 (+.f64 #s(literal -4096 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 16777216 binary64) (.f64 (.f64 x (+.f64 #s(literal -16 binary64) x)) (.f64 (.f64 x x) (+.f64 #s(literal 256 binary64) (.f64 x x)))))) (/.f64 #s(literal -1/116 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 65536 binary64) (.f64 (.f64 x (+.f64 #s(literal -16 binary64) x)) (+.f64 (*.f64 x (+.f64 #s(literal -16 binary64) x)) #s(literal -256 binary64)))))))
(.f64 (/.f64 (+.f64 #s(literal -4096 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 65536 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 256 binary64) (.f64 x x))))) (/.f64 #s(literal -1/116 binary64) (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 x (+.f64 #s(literal -16 binary64) x)) #s(literal -256 binary64)))))
(.f64 (/.f64 (+.f64 #s(literal 1024/29 binary64) (.f64 #s(literal -1/116 binary64) (.f64 x (.f64 x x)))) (+.f64 #s(literal 16777216 binary64) (.f64 (.f64 x (+.f64 #s(literal -16 binary64) x)) (.f64 (.f64 x x) (+.f64 #s(literal 256 binary64) (.f64 x x)))))) (+.f64 #s(literal 65536 binary64) (.f64 (.f64 x (+.f64 #s(literal -16 binary64) x)) (+.f64 (.f64 x (+.f64 #s(literal -16 binary64) x)) #s(literal -256 binary64)))))
(.f64 (/.f64 (+.f64 #s(literal 1024/29 binary64) (.f64 #s(literal -1/116 binary64) (.f64 x (.f64 x x)))) (+.f64 #s(literal 65536 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 256 binary64) (.f64 x x))))) (+.f64 #s(literal 256 binary64) (.f64 x (+.f64 #s(literal -16 binary64) x))))
(.f64 (/.f64 (.f64 #s(literal -1/116 binary64) (+.f64 #s(literal 256 binary64) (.f64 x x))) (+.f64 #s(literal 256 binary64) (.f64 x x))) (+.f64 #s(literal -16 binary64) x))
(.f64 (/.f64 (.f64 #s(literal -1/116 binary64) (+.f64 #s(literal 256 binary64) (.f64 x x))) (+.f64 #s(literal -4096 binary64) (.f64 x (.f64 x x)))) (+.f64 #s(literal 256 binary64) (.f64 x (+.f64 #s(literal -16 binary64) x))))
(.f64 (/.f64 (+.f64 #s(literal 256 binary64) (.f64 x x)) (/.f64 (+.f64 #s(literal -256 binary64) (.f64 x x)) (+.f64 #s(literal 4096 binary64) (.f64 x (.f64 x x))))) (/.f64 #s(literal 1/116 binary64) (+.f64 (.f64 x (+.f64 #s(literal -16 binary64) x)) #s(literal -256 binary64))))
(.f64 (/.f64 (+.f64 #s(literal 256 binary64) (.f64 x x)) (/.f64 (+.f64 #s(literal 256 binary64) (.f64 x x)) (+.f64 #s(literal 4096 binary64) (.f64 x (.f64 x x))))) (/.f64 #s(literal -1/116 binary64) (+.f64 (.f64 x (+.f64 #s(literal -16 binary64) x)) #s(literal -256 binary64))))
(.f64 (/.f64 (+.f64 #s(literal 256 binary64) (.f64 x x)) (/.f64 (+.f64 #s(literal 256 binary64) (.f64 x x)) (+.f64 #s(literal -256 binary64) (.f64 x x)))) (/.f64 #s(literal -1/116 binary64) (+.f64 x #s(literal 16 binary64))))
(.f64 (/.f64 #s(literal -1/116 binary64) (+.f64 #s(literal 16777216 binary64) (.f64 (.f64 x (+.f64 #s(literal -16 binary64) x)) (.f64 (.f64 x x) (+.f64 #s(literal 256 binary64) (.f64 x x)))))) (/.f64 (+.f64 #s(literal -4096 binary64) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 65536 binary64) (.f64 (.f64 x (+.f64 #s(literal -16 binary64) x)) (+.f64 (*.f64 x (+.f64 #s(literal -16 binary64) x)) #s(literal -256 binary64)))))))
(.f64 (/.f64 #s(literal -1/116 binary64) (+.f64 #s(literal 65536 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 256 binary64) (.f64 x x))))) (.f64 (+.f64 #s(literal -4096 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 256 binary64) (.f64 x (+.f64 #s(literal -16 binary64) x)))))
(.f64 (/.f64 #s(literal -1/116 binary64) (+.f64 #s(literal 256 binary64) (.f64 x x))) (.f64 (+.f64 #s(literal 256 binary64) (.f64 x x)) (+.f64 #s(literal -16 binary64) x)))
(.f64 (/.f64 #s(literal -1/116 binary64) (+.f64 #s(literal -4096 binary64) (.f64 x (.f64 x x)))) (/.f64 (+.f64 #s(literal 256 binary64) (.f64 x x)) (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 x (+.f64 #s(literal -16 binary64) x)) #s(literal -256 binary64)))))
(.f64 (/.f64 #s(literal -1/116 binary64) (/.f64 (+.f64 #s(literal -256 binary64) (.f64 x x)) (+.f64 #s(literal 4096 binary64) (.f64 x (.f64 x x))))) (/.f64 (+.f64 #s(literal 256 binary64) (.f64 x x)) (+.f64 #s(literal 256 binary64) (.f64 x (+.f64 #s(literal -16 binary64) x)))))
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(.f64 (/.f64 (+.f64 #s(literal 65536 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 (+.f64 #s(literal 256 binary64) (.f64 x x)) (+.f64 #s(literal -256 binary64) (.f64 x x)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 256 binary64) (*.f64 x x))) (+.f64 x #s(literal 16 binary64))))
(.f64 (/.f64 (+.f64 #s(literal 256 binary64) (.f64 x x)) (/.f64 (+.f64 #s(literal -256 binary64) (.f64 x x)) (+.f64 #s(literal 4096 binary64) (.f64 x (.f64 x x))))) (/.f64 #s(literal -1 binary64) (+.f64 (.f64 x (+.f64 #s(literal -16 binary64) x)) #s(literal -256 binary64))))
(.f64 (/.f64 (+.f64 #s(literal 256 binary64) (.f64 x x)) (/.f64 (+.f64 #s(literal 256 binary64) (.f64 x x)) (+.f64 #s(literal 4096 binary64) (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (+.f64 #s(literal -16 binary64) x)) #s(literal -256 binary64))))
(.f64 (/.f64 (+.f64 #s(literal 256 binary64) (.f64 x x)) (/.f64 (+.f64 #s(literal 256 binary64) (.f64 x x)) (+.f64 #s(literal -256 binary64) (.f64 x x)))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -16 binary64) x)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -16 binary64) x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -16 binary64) x)) #s(literal -1/2 binary64)))
(+.f64 #s(literal 0 binary64) (/.f64 x #s(literal 116 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 116 binary64) x)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 x #s(literal -116 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 x #s(literal -116 binary64)) #s(literal 1 binary64)))
(neg.f64 (/.f64 x #s(literal -116 binary64)))
(/.f64 x #s(literal 116 binary64))
(/.f64 #s(literal -1/116 binary64) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (/.f64 x #s(literal 116 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -116 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 116 binary64) x))
(/.f64 #s(literal 1/116 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -116 binary64) x))
(/.f64 (/.f64 x #s(literal -116 binary64)) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 x #s(literal -116 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (.f64 (.f64 x x) #s(literal 1/13456 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 x #s(literal -116 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) #s(literal 1/13456 binary64))) (+.f64 #s(literal 0 binary64) (/.f64 x #s(literal -116 binary64))))
(pow.f64 (/.f64 x #s(literal 116 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 116 binary64) x) #s(literal -1 binary64))
(pow.f64 (pow.f64 (/.f64 x #s(literal 116 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 116 binary64) x) (/.f64 #s(literal 116 binary64) x)) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (/.f64 #s(literal 116 binary64) x))) #s(literal -1 binary64))
(*.f64 x #s(literal 1/116 binary64))
(*.f64 #s(literal -1/116 binary64) (-.f64 #s(literal 0 binary64) x))
(*.f64 #s(literal -1/116 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))
(*.f64 (/.f64 x #s(literal 116 binary64)) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1/116 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 x #s(literal 116 binary64)))
(*.f64 #s(literal 1/116 binary64) x)
(*.f64 #s(literal -1 binary64) (/.f64 x #s(literal -116 binary64)))
(*.f64 (pow.f64 (/.f64 x #s(literal 116 binary64)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 x #s(literal 116 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) #s(literal -1/116 binary64))

simplify60.0ms (2%)

Memory

6.1MiB live, 45.2MiB allocated

Algorithm

1×	egg-herbie

Rules

196×	`accelerator-lowering-fma.f32`
196×	`accelerator-lowering-fma.f64`
144×	`-lowering-.f32`
144×	`-lowering-.f64`
92×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	129
1	51	129
2	113	120
3	280	120
4	341	120
5	383	120
6	418	120
7	467	120
8	507	120
9	514	120
10	517	120
11	519	120
0	519	111

Stop Event

1×	iter limit
1×	saturated

Counts

36 → 36

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
(- (* -1 x) 16)
(- (* -1 x) 16)
(- (* -1 x) 16)
(* -1 x)
(* -1 (* x (+ 1 (* 16 (/ 1 x)))))
(* -1 (* x (+ 1 (* 16 (/ 1 x)))))
(* -1 (* x (+ 1 (* 16 (/ 1 x)))))
(* -1 x)
(* -1 (* x (+ 1 (* 16 (/ 1 x)))))
(* -1 (* x (+ 1 (* 16 (/ 1 x)))))
(* -1 (* x (+ 1 (* 16 (/ 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)

Outputs
4/29
#s(literal 4/29 binary64)
(+ 4/29 (* 1/116 x))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 1/116 binary64) x))
(+ 4/29 (* 1/116 x))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 1/116 binary64) x))
(+ 4/29 (* 1/116 x))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 1/116 binary64) x))
(* 1/116 x)
(*.f64 #s(literal 1/116 binary64) x)
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 1/116 binary64) x))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 1/116 binary64) x))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 1/116 binary64) x))
(* 1/116 x)
(*.f64 #s(literal 1/116 binary64) x)
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 1/116 binary64) x))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 1/116 binary64) x))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 1/116 binary64) x))
-16
#s(literal -16 binary64)
(- (* -1 x) 16)
(-.f64 #s(literal -16 binary64) x)
(- (* -1 x) 16)
(-.f64 #s(literal -16 binary64) x)
(- (* -1 x) 16)
(-.f64 #s(literal -16 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 (* x (+ 1 (* 16 (/ 1 x)))))
(-.f64 #s(literal -16 binary64) x)
(* -1 (* x (+ 1 (* 16 (/ 1 x)))))
(-.f64 #s(literal -16 binary64) x)
(* -1 (* x (+ 1 (* 16 (/ 1 x)))))
(-.f64 #s(literal -16 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 (* x (+ 1 (* 16 (/ 1 x)))))
(-.f64 #s(literal -16 binary64) x)
(* -1 (* x (+ 1 (* 16 (/ 1 x)))))
(-.f64 #s(literal -16 binary64) x)
(* -1 (* x (+ 1 (* 16 (/ 1 x)))))
(-.f64 #s(literal -16 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)

eval122.0ms (4%)

Memory: 11.5MiB live, 86.4MiB allocated
Compiler: Compiled 9 634 to 1 063 computations (89% saved)

prune257.0ms (8.4%)

Memory

1.8MiB live, 94.7MiB allocated

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	376	0	376
Fresh	0	0	0
Picked	0	3	3
Done	0	1	1
Total	376	4	380

Accuracy

100.0%

Counts

380 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))
✓	52.5%	(/.f64 x #s(literal 116 binary64))
✓	99.9%	(*.f64 (-.f64 #s(literal -16 binary64) x) #s(literal -1/116 binary64))
✓	48.5%	#s(literal 4/29 binary64)

Compiler

Compiled 33 to 26 computations (21.2% saved)

regimes150.0ms (4.9%)

Memory

-24.8MiB live, 14.2MiB allocated

Counts

4 → 1

Calls

Call 1

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

146.0ms	(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))
2.0ms	x
2.0ms	(+.f64 x #s(literal 16 binary64))

Results

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

Compiler

Compiled 12 to 9 computations (25% saved)

regimes2.0ms (0.1%)

Memory

6.6MiB live, 6.6MiB allocated

Counts

3 → 1

Calls

Call 1

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

Outputs
(*.f64 (-.f64 #s(literal -16 binary64) x) #s(literal -1/116 binary64))

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
99.9%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0.1%)

Memory

5.8MiB live, 5.8MiB allocated

Counts

2 → 3

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
97.6%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes1.0ms (0%)

Memory

4.6MiB live, 4.6MiB 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
48.5%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

bsearch62.0ms (2%)

Memory

-0.1MiB live, 38.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
8.0ms	0.028262279932632313	1160.1691315650248
52.0ms	-406.382724849824	-2.8163771291888864

Samples

8.0ms

240×

valid

Compiler

Compiled 129 to 114 computations (11.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-div: 2.0ms (57.2% of total)

ival-add: 1.0ms (28.6% of total)

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

exact: 0.0ms (0% of total)

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

simplify52.0ms (1.7%)

Memory

-23.5MiB live, 16.2MiB allocated

Algorithm

1×	egg-herbie

Rules

6×	`+-commutative_binary64`
4×	`*-commutative_binary64`
4×	`sub-neg_binary64`
2×	`neg-sub0_binary64`
2×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	24
1	22	24
2	27	24
3	29	24
4	30	24

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness432.0ms (14.1%)

Memory

11.2MiB live, 605.2MiB 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 41 to 27 computations (34.1% saved)

preprocess30.0ms (1%)

Memory: 24.9MiB live, 65.7MiB allocated
Compiler: Compiled 66 to 40 computations (39.4% 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	19	129
1	51	129
2	113	120
3	280	120
4	341	120
5	383	120
6	418	120
7	467	120
8	507	120
9	514	120
10	517	120
11	519	120
0	519	111

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	19	129
1	51	129
2	113	120
3	280	120
4	341	120
5	383	120
6	418	120
7	467	120
8	507	120
9	514	120
10	517	120
11	519	120
0	519	111

analyze0.0ms (0%)

sample561.0ms (18.3%)

preprocess30.0ms (1%)

explain54.0ms (1.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify9.0ms (0.3%)

localize16.0ms (0.5%)

series1.0ms (0%)

rewrite494.0ms (16.1%)

simplify13.0ms (0.4%)

eval51.0ms (1.6%)

prune161.0ms (5.3%)

simplify9.0ms (0.3%)

localize34.0ms (1.1%)

series2.0ms (0.1%)

rewrite455.0ms (14.9%)

simplify60.0ms (2%)

eval122.0ms (4%)

prune257.0ms (8.4%)

regimes150.0ms (4.9%)

regimes2.0ms (0.1%)

regimes2.0ms (0.1%)

regimes1.0ms (0%)

bsearch62.0ms (2%)

simplify52.0ms (1.7%)

soundness432.0ms (14.1%)

preprocess30.0ms (1%)

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

Iter	Nodes	Cost
0	19	129
1	51	129
2	113	120
3	280	120
4	341	120
5	383	120
6	418	120
7	467	120
8	507	120
9	514	120
10	517	120
11	519	120
0	519	111