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)

sample774.0ms (26%)

Memory

20.2MiB live, 905.1MiB allocated

Samples

384.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 246.0ms

ival-add: 163.0ms (66.4% of total)

ival-div: 66.0ms (26.9% of total)

exact: 8.0ms (3.3% of total)

ival-true: 5.0ms (2% of total)

ival-assert: 3.0ms (1.2% of total)

Bogosity

preprocess32.0ms (1.1%)

Memory

-14.0MiB live, 23.0MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

explain68.0ms (2.3%)

Memory

-16.5MiB live, 67.0MiB 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

43.0ms

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 (51.4% of total)

ival-add: 3.0ms (38.6% of total)

exact: 1.0ms (12.9% of total)

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

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

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

0.7MiB live, 0.7MiB 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)

simplify5.0ms (0.2%)

Memory

4.4MiB live, 4.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

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

Rules

4×	`lower-+.f32`
2×	`lift-+.f64`
2×	`lift-/.f64`
2×	`lower-+.f64`
2×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	11
0	7	11
1	8	11
0	8	11

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize15.0ms (0.5%)

Memory

21.9MiB live, 21.9MiB allocated

Localize:

Found 2 expressions of interest:

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

Samples

9.0ms

256×

valid

Compiler

Compiled 13 to 7 computations (46.2% saved)

Precisions

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

ival-div: 2.0ms (54.1% of total)

ival-add: 1.0ms (27.1% 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

2.2MiB live, 2.2MiB allocated

Counts

2 → 24

Calls

Call 1

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

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

Calls

6 calls:

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

rewrite555.0ms (18.6%)

Memory

-35.6MiB live, 451.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 334×	`lower-/.f32`
5 332×	`lower-/.f64`
3 418×	`lower-*.f64`
3 418×	`lower-*.f32`
2 760×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	8
0	7	8
1	33	8
2	177	8
3	1440	8
0	8404	7

Stop Event

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

Counts

2 → 416

Calls

Call 1

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

Outputs
(+.f64 #s(literal 0 binary64) (fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64)))
(+.f64 (.f64 (/.f64 (.f64 x x) (+.f64 x #s(literal -16 binary64))) #s(literal 1/116 binary64)) (neg.f64 (*.f64 (/.f64 #s(literal 256 binary64) (+.f64 x #s(literal -16 binary64))) #s(literal 1/116 binary64))))
(+.f64 (/.f64 (*.f64 x x) (fma.f64 x #s(literal 116 binary64) #s(literal -1856 binary64))) (neg.f64 (/.f64 #s(literal 256 binary64) (fma.f64 x #s(literal 116 binary64) #s(literal -1856 binary64)))))
(+.f64 (*.f64 #s(literal 1/116 binary64) x) #s(literal 4/29 binary64))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 1/116 binary64) x))
(+.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal 1/116 binary64)))
(+.f64 (*.f64 x #s(literal 1/116 binary64)) #s(literal 4/29 binary64))
(exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (+.f64 x #s(literal 16 binary64)) #s(literal -1/116 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (+.f64 x #s(literal 16 binary64)) #s(literal -1/116 binary64)) #s(literal 1 binary64)))
(-.f64 (.f64 (/.f64 (.f64 x x) (+.f64 x #s(literal -16 binary64))) #s(literal 1/116 binary64)) (*.f64 (/.f64 #s(literal 256 binary64) (+.f64 x #s(literal -16 binary64))) #s(literal 1/116 binary64)))
(-.f64 (/.f64 (*.f64 x x) (fma.f64 x #s(literal 116 binary64) #s(literal -1856 binary64))) (/.f64 #s(literal 256 binary64) (fma.f64 x #s(literal 116 binary64) #s(literal -1856 binary64))))
(-.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal -116 binary64)))
(-.f64 (/.f64 (.f64 (/.f64 (.f64 x x) (+.f64 x #s(literal -16 binary64))) #s(literal 1/116 binary64)) #s(literal 1 binary64)) (/.f64 (*.f64 (/.f64 #s(literal 256 binary64) (+.f64 x #s(literal -16 binary64))) #s(literal 1/116 binary64)) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (*.f64 x x) (fma.f64 x #s(literal 116 binary64) #s(literal -1856 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 256 binary64) (fma.f64 x #s(literal 116 binary64) #s(literal -1856 binary64))) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 #s(literal 256 binary64) (-.f64 #s(literal 16 binary64) x)) #s(literal 116 binary64)) (/.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 16 binary64) x)) #s(literal 116 binary64)))
(-.f64 (/.f64 (neg.f64 x) #s(literal -116 binary64)) #s(literal -4/29 binary64))
(-.f64 (/.f64 (/.f64 (*.f64 x x) (+.f64 (neg.f64 x) #s(literal 16 binary64))) #s(literal -116 binary64)) (/.f64 (/.f64 #s(literal -256 binary64) (+.f64 x #s(literal -16 binary64))) #s(literal -116 binary64)))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (fma.f64 x (.f64 x x) #s(literal -4096 binary64))) (.f64 #s(literal 116 binary64) (fma.f64 x (+.f64 x #s(literal -16 binary64)) #s(literal 256 binary64)))) (/.f64 (/.f64 #s(literal 16777216 binary64) (fma.f64 x (.f64 x x) #s(literal -4096 binary64))) (*.f64 #s(literal 116 binary64) (fma.f64 x (+.f64 x #s(literal -16 binary64)) #s(literal 256 binary64)))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (fma.f64 x (.f64 x x) #s(literal -4096 binary64))) (.f64 #s(literal -116 binary64) (neg.f64 (fma.f64 x (+.f64 x #s(literal -16 binary64)) #s(literal 256 binary64))))) (/.f64 (/.f64 #s(literal 16777216 binary64) (fma.f64 x (.f64 x x) #s(literal -4096 binary64))) (*.f64 #s(literal -116 binary64) (neg.f64 (fma.f64 x (+.f64 x #s(literal -16 binary64)) #s(literal 256 binary64))))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (fma.f64 x (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 256 binary64)) #s(literal 65536 binary64)))) (fma.f64 x #s(literal 116 binary64) #s(literal -1856 binary64))) (/.f64 (/.f64 #s(literal 16777216 binary64) (fma.f64 x (.f64 x (.f64 x x)) (fma.f64 x (*.f64 x #s(literal 256 binary64)) #s(literal 65536 binary64)))) (fma.f64 x #s(literal 116 binary64) #s(literal -1856 binary64))))
(-.f64 (/.f64 (/.f64 (.f64 x (.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 256 binary64))) (fma.f64 x #s(literal 116 binary64) #s(literal -1856 binary64))) (/.f64 (/.f64 #s(literal 65536 binary64) (fma.f64 x x #s(literal 256 binary64))) (fma.f64 x #s(literal 116 binary64) #s(literal -1856 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (.f64 #s(literal 116 binary64) (fma.f64 x (+.f64 x #s(literal -16 binary64)) #s(literal 256 binary64))))) (/.f64 (fma.f64 x (.f64 x x) #s(literal 4096 binary64)) (neg.f64 (*.f64 #s(literal 116 binary64) (fma.f64 x (+.f64 x #s(literal -16 binary64)) #s(literal 256 binary64))))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 #s(literal -116 binary64) (fma.f64 x (+.f64 x #s(literal -16 binary64)) #s(literal 256 binary64)))) (.f64 (+.f64 x #s(literal 16 binary64)) #s(literal -1/116 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 #s(literal 116 binary64) (neg.f64 (fma.f64 x (+.f64 x #s(literal -16 binary64)) #s(literal 256 binary64))))) (/.f64 (fma.f64 x (.f64 x x) #s(literal 4096 binary64)) (*.f64 #s(literal 116 binary64) (neg.f64 (fma.f64 x (+.f64 x #s(literal -16 binary64)) #s(literal 256 binary64))))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 x #s(literal 116 binary64) #s(literal -1856 binary64)))) (*.f64 (+.f64 x #s(literal 16 binary64)) #s(literal -1/116 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 #s(literal -116 binary64) (+.f64 x #s(literal -16 binary64)))) (.f64 (+.f64 x #s(literal 16 binary64)) #s(literal -1/116 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 #s(literal 116 binary64) (+.f64 (neg.f64 x) #s(literal 16 binary64)))) (/.f64 (fma.f64 x x #s(literal -256 binary64)) (.f64 #s(literal 116 binary64) (+.f64 (neg.f64 x) #s(literal 16 binary64)))))
(-.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 #s(literal 116 binary64) (fma.f64 x (+.f64 x #s(literal -16 binary64)) #s(literal 256 binary64))) (fma.f64 x (.f64 x x) #s(literal -4096 binary64)))) (/.f64 #s(literal 16777216 binary64) (.f64 (.f64 #s(literal 116 binary64) (fma.f64 x (+.f64 x #s(literal -16 binary64)) #s(literal 256 binary64))) (fma.f64 x (*.f64 x x) #s(literal -4096 binary64)))))
(-.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (fma.f64 x #s(literal 116 binary64) #s(literal -1856 binary64)) (fma.f64 x (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 256 binary64)) #s(literal 65536 binary64))))) (/.f64 #s(literal 16777216 binary64) (.f64 (fma.f64 x #s(literal 116 binary64) #s(literal -1856 binary64)) (fma.f64 x (.f64 x (.f64 x x)) (fma.f64 x (*.f64 x #s(literal 256 binary64)) #s(literal 65536 binary64))))))
(-.f64 (/.f64 #s(literal 256 binary64) (.f64 #s(literal 116 binary64) (-.f64 #s(literal 16 binary64) x))) (/.f64 (.f64 x x) (*.f64 #s(literal 116 binary64) (-.f64 #s(literal 16 binary64) x))))
(-.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (fma.f64 x #s(literal 116 binary64) #s(literal -1856 binary64)) (fma.f64 x x #s(literal 256 binary64)))) (/.f64 #s(literal 65536 binary64) (*.f64 (fma.f64 x #s(literal 116 binary64) #s(literal -1856 binary64)) (fma.f64 x x #s(literal 256 binary64)))))
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 116 binary64) #s(literal -1856 binary64))) (neg.f64 (/.f64 #s(literal 256 binary64) (fma.f64 x #s(literal 116 binary64) #s(literal -1856 binary64)))))
(fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64))
(fma.f64 (/.f64 (.f64 x x) (+.f64 x #s(literal -16 binary64))) #s(literal 1/116 binary64) (neg.f64 (.f64 (/.f64 #s(literal 256 binary64) (+.f64 x #s(literal -16 binary64))) #s(literal 1/116 binary64))))
(fma.f64 (/.f64 x (+.f64 x #s(literal -16 binary64))) (/.f64 x #s(literal 116 binary64)) (neg.f64 (/.f64 #s(literal 256 binary64) (fma.f64 x #s(literal 116 binary64) #s(literal -1856 binary64)))))
(fma.f64 (/.f64 x #s(literal 116 binary64)) (/.f64 x (+.f64 x #s(literal -16 binary64))) (neg.f64 (/.f64 #s(literal 256 binary64) (fma.f64 x #s(literal 116 binary64) #s(literal -1856 binary64)))))
(neg.f64 (*.f64 (+.f64 x #s(literal 16 binary64)) #s(literal -1/116 binary64)))
(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))
(/.f64 (fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal -16 binary64) x) #s(literal -116 binary64))
(/.f64 (fma.f64 x (.f64 x x) #s(literal 4096 binary64)) (.f64 #s(literal 116 binary64) (fma.f64 x (+.f64 x #s(literal -16 binary64)) #s(literal 256 binary64))))
(/.f64 (fma.f64 x (.f64 x x) #s(literal 4096 binary64)) (.f64 #s(literal -116 binary64) (neg.f64 (fma.f64 x (+.f64 x #s(literal -16 binary64)) #s(literal 256 binary64)))))
(/.f64 (fma.f64 x (.f64 x x) #s(literal 4096 binary64)) (neg.f64 (neg.f64 (.f64 #s(literal 116 binary64) (fma.f64 x (+.f64 x #s(literal -16 binary64)) #s(literal 256 binary64))))))
(/.f64 (fma.f64 x (.f64 x x) #s(literal 4096 binary64)) (neg.f64 (.f64 #s(literal -116 binary64) (fma.f64 x (+.f64 x #s(literal -16 binary64)) #s(literal 256 binary64)))))
(/.f64 (fma.f64 x (.f64 x x) #s(literal 4096 binary64)) (neg.f64 (.f64 #s(literal 116 binary64) (neg.f64 (fma.f64 x (+.f64 x #s(literal -16 binary64)) #s(literal 256 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 116 binary64) (+.f64 x #s(literal 16 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -116 binary64) (neg.f64 (fma.f64 x (+.f64 x #s(literal -16 binary64)) #s(literal 256 binary64)))) (fma.f64 x (.f64 x x) #s(literal 4096 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -116 binary64) (fma.f64 x (+.f64 x #s(literal -16 binary64)) #s(literal 256 binary64))) (fma.f64 (.f64 x x) (neg.f64 x) #s(literal -4096 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 116 binary64) (neg.f64 (fma.f64 x (+.f64 x #s(literal -16 binary64)) #s(literal 256 binary64)))) (fma.f64 (.f64 x x) (neg.f64 x) #s(literal -4096 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -116 binary64) (+.f64 x #s(literal -16 binary64))) (neg.f64 (fma.f64 x x #s(literal -256 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 116 binary64) (+.f64 (neg.f64 x) #s(literal 16 binary64))) (neg.f64 (fma.f64 x x #s(literal -256 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 #s(literal 116 binary64) (fma.f64 x (+.f64 x #s(literal -16 binary64)) #s(literal 256 binary64))) (+.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal 16777216 binary64)) (.f64 (.f64 x (.f64 x x)) #s(literal -4096 binary64)))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 68719476736 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 #s(literal 116 binary64) (fma.f64 x (+.f64 x #s(literal -16 binary64)) #s(literal 256 binary64))) (fma.f64 x (.f64 x x) #s(literal -4096 binary64))) (fma.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x)) #s(literal -16777216 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 x #s(literal 116 binary64) #s(literal -1856 binary64)) (fma.f64 x (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 256 binary64)) #s(literal 65536 binary64)))) (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal -16777216 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 116 binary64) (-.f64 #s(literal 16 binary64) x)) (-.f64 #s(literal 256 binary64) (.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 x #s(literal 116 binary64) #s(literal -1856 binary64)) (fma.f64 x x #s(literal 256 binary64))) (fma.f64 (.f64 x x) (*.f64 x x) #s(literal -65536 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 x (+.f64 x #s(literal -16 binary64)) #s(literal 256 binary64))) (.f64 #s(literal 1/116 binary64) (fma.f64 (.f64 x x) (neg.f64 x) #s(literal -4096 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (neg.f64 x) #s(literal 16 binary64)) (*.f64 #s(literal 1/116 binary64) (neg.f64 (fma.f64 x x #s(literal -256 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 16 binary64) x) (.f64 #s(literal 1/116 binary64) (-.f64 #s(literal 256 binary64) (.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 x (+.f64 x #s(literal -16 binary64)) #s(literal 256 binary64))) (.f64 (fma.f64 (.f64 x x) (neg.f64 x) #s(literal -4096 binary64)) #s(literal 1/116 binary64))))
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(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal -16777216 binary64)) (fma.f64 x (+.f64 x #s(literal -16 binary64)) #s(literal 256 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x x) #s(literal -4096 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal -16777216 binary64)) (+.f64 x #s(literal -16 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 256 binary64)) #s(literal 65536 binary64)))))
(.f64 (/.f64 (fma.f64 (.f64 x x) (*.f64 x x) #s(literal -65536 binary64)) (+.f64 x #s(literal -16 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 256 binary64))))
(.f64 (/.f64 (fma.f64 x (.f64 x x) #s(literal 4096 binary64)) (fma.f64 (fma.f64 x #s(literal -16 binary64) #s(literal 256 binary64)) (.f64 (fma.f64 x #s(literal -16 binary64) #s(literal 256 binary64)) (fma.f64 x #s(literal -16 binary64) #s(literal 256 binary64))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (fma.f64 x (.f64 x (.f64 x x)) (.f64 (fma.f64 x #s(literal -16 binary64) #s(literal 256 binary64)) (-.f64 (fma.f64 x #s(literal -16 binary64) #s(literal 256 binary64)) (.f64 x x)))))
(.f64 (/.f64 (fma.f64 x (.f64 x x) #s(literal 4096 binary64)) (fma.f64 (fma.f64 x #s(literal -16 binary64) #s(literal 256 binary64)) (.f64 (fma.f64 x #s(literal -16 binary64) #s(literal 256 binary64)) (fma.f64 x #s(literal -16 binary64) #s(literal 256 binary64))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (.f64 x x)) (.f64 (fma.f64 x #s(literal -16 binary64) #s(literal 256 binary64)) (-.f64 (fma.f64 x #s(literal -16 binary64) #s(literal 256 binary64)) (.f64 x x)))))))
(.f64 (/.f64 (fma.f64 x (.f64 x x) #s(literal 4096 binary64)) (.f64 (fma.f64 x (+.f64 x #s(literal -16 binary64)) #s(literal 256 binary64)) (+.f64 (fma.f64 x x #s(literal -256 binary64)) (.f64 x #s(literal 16 binary64))))) (+.f64 (fma.f64 x x #s(literal -256 binary64)) (*.f64 x #s(literal 16 binary64))))
(.f64 (/.f64 (fma.f64 x (.f64 x x) #s(literal 4096 binary64)) (.f64 (fma.f64 x (+.f64 x #s(literal -16 binary64)) #s(literal 256 binary64)) (+.f64 (fma.f64 x x #s(literal -256 binary64)) (.f64 x #s(literal 16 binary64))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x #s(literal -256 binary64)) (*.f64 x #s(literal 16 binary64))))))
(.f64 (/.f64 (fma.f64 x x #s(literal -256 binary64)) (fma.f64 x (.f64 x x) #s(literal -4096 binary64))) (fma.f64 x x (fma.f64 x #s(literal 16 binary64) #s(literal 256 binary64))))
(.f64 (/.f64 (fma.f64 x x #s(literal -256 binary64)) (fma.f64 x (.f64 x x) #s(literal -4096 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x (fma.f64 x #s(literal 16 binary64) #s(literal 256 binary64))))))
(.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (.f64 x x) #s(literal 4096 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 x (+.f64 x #s(literal -16 binary64)) #s(literal 256 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -256 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal -16 binary64))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 256 binary64) (.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) x)))
(.f64 (pow.f64 (/.f64 (fma.f64 x (+.f64 x #s(literal -16 binary64)) #s(literal 256 binary64)) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 68719476736 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal 16777216 binary64)) (.f64 (.f64 x (*.f64 x x)) #s(literal -4096 binary64)))))
(.f64 (pow.f64 (/.f64 (fma.f64 x (+.f64 x #s(literal -16 binary64)) #s(literal 256 binary64)) (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal -16777216 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x x) #s(literal -4096 binary64))))
(.f64 (pow.f64 (/.f64 (+.f64 x #s(literal -16 binary64)) (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal -16777216 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 256 binary64)) #s(literal 65536 binary64)))))
(.f64 (pow.f64 (/.f64 (+.f64 x #s(literal -16 binary64)) (fma.f64 (.f64 x x) (*.f64 x x) #s(literal -65536 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 256 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 68719476736 binary64)) (fma.f64 (fma.f64 x #s(literal -16 binary64) #s(literal 256 binary64)) (.f64 (fma.f64 x #s(literal -16 binary64) #s(literal 256 binary64)) (fma.f64 x #s(literal -16 binary64) #s(literal 256 binary64))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal 16777216 binary64)) (.f64 (.f64 x (.f64 x x)) #s(literal -4096 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (.f64 x x)) (.f64 (fma.f64 x #s(literal -16 binary64) #s(literal 256 binary64)) (-.f64 (fma.f64 x #s(literal -16 binary64) #s(literal 256 binary64)) (*.f64 x x)))))))
(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 68719476736 binary64)) (.f64 (fma.f64 x (+.f64 x #s(literal -16 binary64)) #s(literal 256 binary64)) (+.f64 (fma.f64 x x #s(literal -256 binary64)) (.f64 x #s(literal 16 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal 16777216 binary64)) (.f64 (.f64 x (.f64 x x)) #s(literal -4096 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x #s(literal -256 binary64)) (.f64 x #s(literal 16 binary64))))))
(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal -16777216 binary64)) (fma.f64 (fma.f64 x #s(literal -16 binary64) #s(literal 256 binary64)) (.f64 (fma.f64 x #s(literal -16 binary64) #s(literal 256 binary64)) (fma.f64 x #s(literal -16 binary64) #s(literal 256 binary64))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x x) #s(literal -4096 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (.f64 x x)) (.f64 (fma.f64 x #s(literal -16 binary64) #s(literal 256 binary64)) (-.f64 (fma.f64 x #s(literal -16 binary64) #s(literal 256 binary64)) (.f64 x x)))))))
(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal -16777216 binary64)) (.f64 (fma.f64 x (+.f64 x #s(literal -16 binary64)) #s(literal 256 binary64)) (+.f64 (fma.f64 x x #s(literal -256 binary64)) (.f64 x #s(literal 16 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x x) #s(literal -4096 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x #s(literal -256 binary64)) (*.f64 x #s(literal 16 binary64))))))
(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal -16777216 binary64)) (fma.f64 x x #s(literal -256 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 256 binary64)) #s(literal 65536 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 16 binary64)))))
(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal -16777216 binary64)) (/.f64 (fma.f64 x x #s(literal -256 binary64)) (fma.f64 x (.f64 x x) #s(literal 4096 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (.f64 x x)) (fma.f64 x (*.f64 x #s(literal 256 binary64)) #s(literal 65536 binary64)))) (fma.f64 x (+.f64 x #s(literal -16 binary64)) #s(literal 256 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal -16777216 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 256 binary64)) #s(literal 65536 binary64)))) (+.f64 x #s(literal -16 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal -16777216 binary64)) (/.f64 (fma.f64 x x #s(literal -256 binary64)) (fma.f64 (.f64 x x) (neg.f64 x) #s(literal -4096 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (.f64 x x)) (fma.f64 x (*.f64 x #s(literal 256 binary64)) #s(literal 65536 binary64)))) (neg.f64 (fma.f64 x (+.f64 x #s(literal -16 binary64)) #s(literal 256 binary64)))))
(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal -16777216 binary64)) (-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal -256 binary64))) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 256 binary64)) #s(literal 65536 binary64)))) (+.f64 (neg.f64 x) #s(literal 16 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal -16777216 binary64)) (/.f64 (fma.f64 x x #s(literal -256 binary64)) (-.f64 #s(literal 256 binary64) (.f64 x x)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (.f64 x x)) (fma.f64 x (*.f64 x #s(literal 256 binary64)) #s(literal 65536 binary64)))) (-.f64 #s(literal 16 binary64) x)))
(.f64 (/.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal -65536 binary64)) (fma.f64 x (.f64 x x) #s(literal -4096 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 256 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (fma.f64 x #s(literal 16 binary64) #s(literal 256 binary64))))))
(.f64 (/.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal -65536 binary64)) (/.f64 (fma.f64 x x #s(literal -256 binary64)) (fma.f64 x (.f64 x x) #s(literal 4096 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 256 binary64))) (fma.f64 x (+.f64 x #s(literal -16 binary64)) #s(literal 256 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 x x) (*.f64 x x) #s(literal -65536 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 256 binary64))) (+.f64 x #s(literal -16 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal -65536 binary64)) (/.f64 (fma.f64 x x #s(literal -256 binary64)) (fma.f64 (.f64 x x) (neg.f64 x) #s(literal -4096 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 256 binary64))) (neg.f64 (fma.f64 x (+.f64 x #s(literal -16 binary64)) #s(literal 256 binary64)))))
(.f64 (/.f64 (fma.f64 (.f64 x x) (*.f64 x x) #s(literal -65536 binary64)) (-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal -256 binary64))) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 256 binary64))) (+.f64 (neg.f64 x) #s(literal 16 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal -65536 binary64)) (/.f64 (fma.f64 x x #s(literal -256 binary64)) (-.f64 #s(literal 256 binary64) (.f64 x x)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 256 binary64))) (-.f64 #s(literal 16 binary64) x)))
(.f64 (/.f64 (fma.f64 x x #s(literal -256 binary64)) (/.f64 (fma.f64 x x #s(literal -256 binary64)) (fma.f64 x (.f64 x x) #s(literal 4096 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -16 binary64)) #s(literal 256 binary64))))
(.f64 (/.f64 (fma.f64 x x #s(literal -256 binary64)) (/.f64 (fma.f64 x x #s(literal -256 binary64)) (fma.f64 (.f64 x x) (neg.f64 x) #s(literal -4096 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 x (+.f64 x #s(literal -16 binary64)) #s(literal 256 binary64))))
(*.f64 (/.f64 (fma.f64 x x #s(literal -256 binary64)) (-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal -256 binary64))) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal -16 binary64))))
(.f64 (/.f64 (fma.f64 x x #s(literal -256 binary64)) (/.f64 (fma.f64 x x #s(literal -256 binary64)) (-.f64 #s(literal 256 binary64) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) x)))

simplify10.0ms (0.3%)

Memory

9.4MiB live, 9.4MiB allocated

Algorithm

1×	egg-herbie

Rules

72×	`lower-*.f64`
72×	`lower-*.f32`
32×	`associate-r`
32×	`associate-l`
28×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	82
1	41	82
2	67	82
3	140	82
4	140	82
5	143	82
6	148	82
7	148	82
0	148	73

Stop Event

1×	iter limit
1×	saturated

Counts

24 → 22

Calls

Call 1

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

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

eval87.0ms (2.9%)

Memory: 21.8MiB live, 94.1MiB allocated
Compiler: Compiled 10 134 to 1 234 computations (87.8% saved)

prune155.0ms (5.2%)

Memory

-20.2MiB live, 102.4MiB allocated

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	434	4	438
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	434	5	439

Accuracy

100.0%

Counts

439 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
✓	100.0%	(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))
▶	100.0%	(*.f64 (-.f64 #s(literal -16 binary64) x) #s(literal -1/116 binary64))
▶	49.0%	(*.f64 #s(literal 1/116 binary64) x)
▶	53.0%	#s(literal 4/29 binary64)

Compiler

Compiled 23 to 19 computations (17.4% saved)

simplify9.0ms (0.3%)

Memory

12.9MiB live, 12.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
✓	cost-diff	0	(-.f64 #s(literal -16 binary64) x)
✓	cost-diff	128	(*.f64 (-.f64 #s(literal -16 binary64) x) #s(literal -1/116 binary64))
✓	cost-diff	0	(*.f64 #s(literal 1/116 binary64) x)

Rules

60×	`lower-fma.f32`
58×	`lower-fma.f64`
48×	`lower-+.f64`
48×	`lower-+.f32`
40×	`lower-*.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	24
0	14	25
1	18	25
2	29	23
3	42	23
4	62	23
5	79	23
6	108	23
7	134	23
8	146	23
9	149	23
0	149	23

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize93.0ms (3.1%)

Memory

-3.7MiB live, 72.9MiB allocated

Localize:

Found 4 expressions of interest:

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

Samples

82.0ms

256×

valid

Compiler

Compiled 27 to 12 computations (55.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 74.0ms

ival-add: 38.0ms (51.1% of total)

const: 30.0ms (40.4% of total)

ival-mult: 5.0ms (6.7% of total)

ival-sub: 1.0ms (1.3% of total)

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

exact: 0.0ms (0% of total)

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

series2.0ms (0.1%)

Memory

3.7MiB live, 3.7MiB allocated

Counts

4 → 48

Calls

Call 1

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

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

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(* 1/116 x)
0.0ms	x	@	inf	(* 1/116 x)
0.0ms	x	@	0	(* 1/116 x)
0.0ms	x	@	-inf	(* (- -16 x) -1/116)
0.0ms	x	@	inf	(+ (* x 1/116) 4/29)

rewrite653.0ms (21.9%)

Memory

-11.5MiB live, 387.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 712×	`lower-fma.f32`
5 710×	`lower-fma.f64`
3 990×	`lower-/.f64`
3 990×	`lower-/.f32`
3 602×	`lower-*.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	15
0	14	16
1	47	16
2	290	14
3	2411	14
0	8274	14

Stop Event

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

Counts

4 → 469

Calls

Call 1

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

Outputs
(exp.f64 (log.f64 (*.f64 #s(literal 1/116 binary64) x)))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 1/116 binary64) x)) #s(literal 1 binary64)))
(neg.f64 (*.f64 x #s(literal -1/116 binary64)))
(pow.f64 (*.f64 #s(literal 1/116 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 1/116 binary64) x)
(*.f64 x #s(literal 1/116 binary64))
(*.f64 x (exp.f64 (log.f64 #s(literal 1/116 binary64))))
(*.f64 #s(literal -1/116 binary64) (neg.f64 x))
(*.f64 #s(literal -1/116 binary64) (pow.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (neg.f64 x) #s(literal -1/116 binary64))
(.f64 #s(literal -1 binary64) (.f64 x #s(literal -1/116 binary64)))
(.f64 #s(literal -1 binary64) (pow.f64 (.f64 x #s(literal -1/116 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) #s(literal -1/116 binary64))
(*.f64 (exp.f64 (log.f64 #s(literal 1/116 binary64))) x)
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 1/116 binary64) x))
(+.f64 (*.f64 #s(literal 1/116 binary64) x) #s(literal 4/29 binary64))
(+.f64 (/.f64 (.f64 x (.f64 x #s(literal 1/13456 binary64))) (fma.f64 #s(literal 1/116 binary64) x #s(literal -4/29 binary64))) (neg.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal 1/116 binary64) x #s(literal -4/29 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64)))) #s(literal -1 binary64)))
(-.f64 (/.f64 (.f64 x (.f64 x #s(literal 1/13456 binary64))) (fma.f64 #s(literal 1/116 binary64) x #s(literal -4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal 1/116 binary64) x #s(literal -4/29 binary64))))
(-.f64 (/.f64 #s(literal 16/841 binary64) (+.f64 #s(literal 4/29 binary64) (.f64 x #s(literal -1/116 binary64)))) (/.f64 (.f64 x (.f64 x #s(literal 1/13456 binary64))) (+.f64 #s(literal 4/29 binary64) (.f64 x #s(literal -1/116 binary64)))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/2436396322816 binary64))) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/1560896 binary64)) #s(literal -64/24389 binary64))) (fma.f64 x (-.f64 (.f64 x #s(literal 1/13456 binary64)) #s(literal 1/841 binary64)) #s(literal 16/841 binary64))) (/.f64 (/.f64 #s(literal 4096/594823321 binary64) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/1560896 binary64)) #s(literal -64/24389 binary64))) (fma.f64 x (-.f64 (.f64 x #s(literal 1/13456 binary64)) #s(literal 1/841 binary64)) #s(literal 16/841 binary64))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/2436396322816 binary64))) (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/181063936 binary64) (fma.f64 (.f64 x x) #s(literal 1/707281 binary64) #s(literal 256/707281 binary64)))) (fma.f64 #s(literal 1/116 binary64) x #s(literal -4/29 binary64))) (/.f64 (/.f64 #s(literal 4096/594823321 binary64) (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/181063936 binary64) (fma.f64 (.f64 x x) #s(literal 1/707281 binary64) #s(literal 256/707281 binary64)))) (fma.f64 #s(literal 1/116 binary64) x #s(literal -4/29 binary64))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/181063936 binary64)) (fma.f64 x (.f64 x #s(literal 1/13456 binary64)) #s(literal 16/841 binary64))) (fma.f64 #s(literal 1/116 binary64) x #s(literal -4/29 binary64))) (/.f64 (/.f64 #s(literal 256/707281 binary64) (fma.f64 x (.f64 x #s(literal 1/13456 binary64)) #s(literal 16/841 binary64))) (fma.f64 #s(literal 1/116 binary64) x #s(literal -4/29 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 x (-.f64 (.f64 x #s(literal 1/13456 binary64)) #s(literal 1/841 binary64)) #s(literal 16/841 binary64)))) (/.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 1/1560896 binary64)) #s(literal 64/24389 binary64)) (neg.f64 (fma.f64 x (-.f64 (.f64 x #s(literal 1/13456 binary64)) #s(literal 1/841 binary64)) #s(literal 16/841 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x #s(literal -1/116 binary64) #s(literal 4/29 binary64))) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/13456 binary64)) #s(literal -16/841 binary64)) (fma.f64 x #s(literal -1/116 binary64) #s(literal 4/29 binary64))))
(-.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/2436396322816 binary64))) (.f64 (fma.f64 x (-.f64 (.f64 x #s(literal 1/13456 binary64)) #s(literal 1/841 binary64)) #s(literal 16/841 binary64)) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/1560896 binary64)) #s(literal -64/24389 binary64)))) (/.f64 #s(literal 4096/594823321 binary64) (.f64 (fma.f64 x (-.f64 (.f64 x #s(literal 1/13456 binary64)) #s(literal 1/841 binary64)) #s(literal 16/841 binary64)) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/1560896 binary64)) #s(literal -64/24389 binary64)))))
(-.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/2436396322816 binary64))) (.f64 (fma.f64 #s(literal 1/116 binary64) x #s(literal -4/29 binary64)) (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/181063936 binary64) (fma.f64 (.f64 x x) #s(literal 1/707281 binary64) #s(literal 256/707281 binary64))))) (/.f64 #s(literal 4096/594823321 binary64) (.f64 (fma.f64 #s(literal 1/116 binary64) x #s(literal -4/29 binary64)) (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/181063936 binary64) (fma.f64 (.f64 x x) #s(literal 1/707281 binary64) #s(literal 256/707281 binary64))))))
(-.f64 (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/181063936 binary64)) (.f64 (fma.f64 #s(literal 1/116 binary64) x #s(literal -4/29 binary64)) (fma.f64 x (.f64 x #s(literal 1/13456 binary64)) #s(literal 16/841 binary64)))) (/.f64 #s(literal 256/707281 binary64) (.f64 (fma.f64 #s(literal 1/116 binary64) x #s(literal -4/29 binary64)) (fma.f64 x (.f64 x #s(literal 1/13456 binary64)) #s(literal 16/841 binary64)))))
(-.f64 (/.f64 (.f64 (.f64 x (.f64 x #s(literal 1/13456 binary64))) (fma.f64 #s(literal 1/116 binary64) x #s(literal -4/29 binary64))) (.f64 (fma.f64 #s(literal 1/116 binary64) x #s(literal -4/29 binary64)) (fma.f64 #s(literal 1/116 binary64) x #s(literal -4/29 binary64)))) (/.f64 (.f64 (fma.f64 #s(literal 1/116 binary64) x #s(literal -4/29 binary64)) #s(literal 16/841 binary64)) (.f64 (fma.f64 #s(literal 1/116 binary64) x #s(literal -4/29 binary64)) (fma.f64 #s(literal 1/116 binary64) x #s(literal -4/29 binary64)))))
(-.f64 (/.f64 (.f64 (/.f64 (.f64 x (.f64 x #s(literal 1/13456 binary64))) (fma.f64 #s(literal 1/116 binary64) x #s(literal -4/29 binary64))) (.f64 (/.f64 (.f64 x (.f64 x #s(literal 1/13456 binary64))) (fma.f64 #s(literal 1/116 binary64) x #s(literal -4/29 binary64))) (/.f64 (.f64 x (.f64 x #s(literal 1/13456 binary64))) (fma.f64 #s(literal 1/116 binary64) x #s(literal -4/29 binary64))))) (fma.f64 (/.f64 (.f64 x (.f64 x #s(literal 1/13456 binary64))) (fma.f64 #s(literal 1/116 binary64) x #s(literal -4/29 binary64))) (/.f64 (.f64 x (.f64 x #s(literal 1/13456 binary64))) (fma.f64 #s(literal 1/116 binary64) x #s(literal -4/29 binary64))) (fma.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal 1/116 binary64) x #s(literal -4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal 1/116 binary64) x #s(literal -4/29 binary64))) (.f64 (/.f64 (.f64 x (.f64 x #s(literal 1/13456 binary64))) (fma.f64 #s(literal 1/116 binary64) x #s(literal -4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal 1/116 binary64) x #s(literal -4/29 binary64))))))) (/.f64 (.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal 1/116 binary64) x #s(literal -4/29 binary64))) (.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal 1/116 binary64) x #s(literal -4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal 1/116 binary64) x #s(literal -4/29 binary64))))) (fma.f64 (/.f64 (.f64 x (.f64 x #s(literal 1/13456 binary64))) (fma.f64 #s(literal 1/116 binary64) x #s(literal -4/29 binary64))) (/.f64 (.f64 x (.f64 x #s(literal 1/13456 binary64))) (fma.f64 #s(literal 1/116 binary64) x #s(literal -4/29 binary64))) (fma.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal 1/116 binary64) x #s(literal -4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal 1/116 binary64) x #s(literal -4/29 binary64))) (.f64 (/.f64 (.f64 x (.f64 x #s(literal 1/13456 binary64))) (fma.f64 #s(literal 1/116 binary64) x #s(literal -4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal 1/116 binary64) x #s(literal -4/29 binary64))))))))
(-.f64 (/.f64 (.f64 (/.f64 (.f64 x (.f64 x #s(literal 1/13456 binary64))) (fma.f64 #s(literal 1/116 binary64) x #s(literal -4/29 binary64))) (/.f64 (.f64 x (.f64 x #s(literal 1/13456 binary64))) (fma.f64 #s(literal 1/116 binary64) x #s(literal -4/29 binary64)))) (fma.f64 x (/.f64 (.f64 x #s(literal 1/13456 binary64)) (fma.f64 #s(literal 1/116 binary64) x #s(literal -4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal 1/116 binary64) x #s(literal -4/29 binary64))))) (/.f64 (.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal 1/116 binary64) x #s(literal -4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal 1/116 binary64) x #s(literal -4/29 binary64)))) (fma.f64 x (/.f64 (.f64 x #s(literal 1/13456 binary64)) (fma.f64 #s(literal 1/116 binary64) x #s(literal -4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal 1/116 binary64) x #s(literal -4/29 binary64))))))
(fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64))
(fma.f64 #s(literal 1/116 binary64) (/.f64 (.f64 #s(literal 1/116 binary64) (.f64 x x)) (fma.f64 #s(literal 1/116 binary64) x #s(literal -4/29 binary64))) (neg.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal 1/116 binary64) x #s(literal -4/29 binary64)))))
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
(fma.f64 x (/.f64 (*.f64 x #s(literal 1/13456 binary64)) (fma.f64 #s(literal 1/116 binary64) x #s(literal -4/29 binary64))) (neg.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal 1/116 binary64) x #s(literal -4/29 binary64)))))
(fma.f64 x (exp.f64 (log.f64 #s(literal 1/116 binary64))) #s(literal 4/29 binary64))
(fma.f64 #s(literal -1/116 binary64) (neg.f64 x) #s(literal 4/29 binary64))
(fma.f64 #s(literal -1/116 binary64) (pow.f64 (neg.f64 x) #s(literal 1 binary64)) #s(literal 4/29 binary64))
(fma.f64 (.f64 #s(literal 1/116 binary64) x) (/.f64 (.f64 #s(literal 1/116 binary64) x) (fma.f64 #s(literal 1/116 binary64) x #s(literal -4/29 binary64))) (neg.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal 1/116 binary64) x #s(literal -4/29 binary64)))))
(fma.f64 (.f64 x (.f64 x #s(literal 1/13456 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/116 binary64) x #s(literal -4/29 binary64))) (neg.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal 1/116 binary64) x #s(literal -4/29 binary64)))))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1/13456 binary64) (fma.f64 #s(literal 1/116 binary64) x #s(literal -4/29 binary64))) (neg.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal 1/116 binary64) x #s(literal -4/29 binary64)))))
(fma.f64 (neg.f64 x) #s(literal -1/116 binary64) #s(literal 4/29 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/116 binary64)) #s(literal 4/29 binary64))
(fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 x #s(literal -1/116 binary64)) #s(literal 1 binary64)) #s(literal 4/29 binary64))
(fma.f64 #s(literal 1/13456 binary64) (/.f64 (*.f64 x x) (fma.f64 #s(literal 1/116 binary64) x #s(literal -4/29 binary64))) (neg.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal 1/116 binary64) x #s(literal -4/29 binary64)))))
(fma.f64 (.f64 #s(literal 1/116 binary64) (.f64 x x)) (/.f64 #s(literal 1/116 binary64) (fma.f64 #s(literal 1/116 binary64) x #s(literal -4/29 binary64))) (neg.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal 1/116 binary64) x #s(literal -4/29 binary64)))))
(fma.f64 (*.f64 x #s(literal 1/13456 binary64)) (/.f64 x (fma.f64 #s(literal 1/116 binary64) x #s(literal -4/29 binary64))) (neg.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal 1/116 binary64) x #s(literal -4/29 binary64)))))
(fma.f64 (/.f64 (.f64 x (.f64 x #s(literal 1/13456 binary64))) (fma.f64 x (*.f64 x #s(literal 1/13456 binary64)) #s(literal -16/841 binary64))) (fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64)) (neg.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal 1/116 binary64) x #s(literal -4/29 binary64)))))
(fma.f64 (/.f64 (.f64 x (.f64 x #s(literal 1/13456 binary64))) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/1560896 binary64)) #s(literal -64/24389 binary64))) (fma.f64 x (*.f64 x #s(literal 1/13456 binary64)) (fma.f64 x #s(literal 1/841 binary64) #s(literal 16/841 binary64))) (neg.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal 1/116 binary64) x #s(literal -4/29 binary64)))))
(fma.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) #s(literal -1/116 binary64) #s(literal 4/29 binary64))
(fma.f64 (exp.f64 (log.f64 #s(literal 1/116 binary64))) x #s(literal 4/29 binary64))
(neg.f64 (/.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 1/1560896 binary64)) #s(literal 64/24389 binary64)) (neg.f64 (fma.f64 x (-.f64 (*.f64 x #s(literal 1/13456 binary64)) #s(literal 1/841 binary64)) #s(literal 16/841 binary64)))))
(neg.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 1/13456 binary64)) #s(literal -16/841 binary64)) (fma.f64 x #s(literal -1/116 binary64) #s(literal 4/29 binary64))))
(neg.f64 (-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x (-.f64 (*.f64 x #s(literal 1/13456 binary64)) #s(literal 1/841 binary64)) #s(literal 16/841 binary64))) (fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64))))
(neg.f64 (-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 #s(literal 1/116 binary64) x #s(literal -4/29 binary64))) (fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64))))
(/.f64 #s(literal 1/116 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -16 binary64) x))))
(/.f64 #s(literal -1/116 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -16 binary64) x)))
(/.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 1/1560896 binary64)) #s(literal 64/24389 binary64)) (fma.f64 x (-.f64 (*.f64 x #s(literal 1/13456 binary64)) #s(literal 1/841 binary64)) #s(literal 16/841 binary64)))
(/.f64 (fma.f64 x (*.f64 x #s(literal 1/13456 binary64)) #s(literal -16/841 binary64)) (fma.f64 #s(literal 1/116 binary64) x #s(literal -4/29 binary64)))
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simplify81.0ms (2.7%)

Memory

-0.7MiB live, 37.8MiB allocated

Algorithm

1×	egg-herbie

Rules

196×	`lower-fma.f64`
196×	`lower-fma.f32`
144×	`lower-*.f64`
144×	`lower-*.f32`
92×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	181
1	51	181
2	113	172
3	279	172
4	340	172
5	382	172
6	417	172
7	465	172
8	505	172
9	512	172
10	515	172
11	517	172
0	517	154

Stop Event

1×	iter limit
1×	saturated

Counts

48 → 48

Calls

Call 1

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

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

eval103.0ms (3.5%)

Memory: 4.8MiB live, 117.7MiB allocated
Compiler: Compiled 12 753 to 1 053 computations (91.7% saved)

prune81.0ms (2.7%)

Memory

4.2MiB live, 80.9MiB allocated

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	517	0	517
Fresh	0	0	0
Picked	0	4	4
Done	0	1	1
Total	517	5	522

Accuracy

100.0%

Counts

522 → 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))
✓	100.0%	(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))
✓	100.0%	(*.f64 (-.f64 #s(literal -16 binary64) x) #s(literal -1/116 binary64))
✓	49.0%	(*.f64 #s(literal 1/116 binary64) x)
✓	53.0%	#s(literal 4/29 binary64)

Compiler

Compiled 42 to 32 computations (23.8% saved)

regimes7.0ms (0.2%)

Memory

12.9MiB live, 12.9MiB allocated

Counts

5 → 1

Calls

Call 1

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

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

Results

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

Compiler

Compiled 12 to 9 computations (25% saved)

regimes6.0ms (0.2%)

Memory

11.7MiB live, 11.7MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 12 to 9 computations (25% saved)

regimes19.0ms (0.6%)

Memory

-28.6MiB live, 13.7MiB allocated

Counts

3 → 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))

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

Calls

3 calls:

15.0ms	x
2.0ms	(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))
2.0ms	(+.f64 x #s(literal 16 binary64))

Results

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

Compiler

Compiled 12 to 9 computations (25% saved)

regimes5.0ms (0.2%)

Memory

15.4MiB live, 15.4MiB allocated

Counts

2 → 3

Calls

Call 1

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

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

Calls

3 calls:

2.0ms	x
1.0ms	(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))
1.0ms	(+.f64 x #s(literal 16 binary64))

Results

Accuracy	Segments	Branch
98.3%	3	`x`
98.3%	3	`(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))`
98.3%	3	`(+.f64 x #s(literal 16 binary64))`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes4.0ms (0.1%)

Memory

9.0MiB live, 9.0MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 4/29 binary64)

Outputs
#s(literal 4/29 binary64)

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
53.0%	1	`x`
53.0%	1	`(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))`
53.0%	1	`(+.f64 x #s(literal 16 binary64))`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	16.005592083673957	7765.142823247208
0.0ms	-318.8827574465424	15.999999936468525

Compiler

Compiled 9 to 9 computations (0% saved)

simplify24.0ms (0.8%)

Memory

-21.7MiB live, 13.9MiB allocated

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative_binary64`
6×	`+-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	19	34
1	24	34
2	29	34
3	31	34
4	32	34

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))
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
(if (<=.f64 (+.f64 x #s(literal 16 binary64)) #s(literal -200 binary64)) (.f64 #s(literal 1/116 binary64) x) (if (<=.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 20 binary64)) #s(literal 4/29 binary64) (.f64 #s(literal 1/116 binary64) x)))
#s(literal 4/29 binary64)

Outputs
(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))
(*.f64 (-.f64 #s(literal -16 binary64) x) #s(literal -1/116 binary64))
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
(if (<=.f64 (+.f64 x #s(literal 16 binary64)) #s(literal -200 binary64)) (.f64 #s(literal 1/116 binary64) x) (if (<=.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 20 binary64)) #s(literal 4/29 binary64) (.f64 #s(literal 1/116 binary64) x)))
(if (<=.f64 (+.f64 x #s(literal 16 binary64)) #s(literal -200 binary64)) (.f64 x #s(literal 1/116 binary64)) (if (<=.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 20 binary64)) #s(literal 4/29 binary64) (.f64 x #s(literal 1/116 binary64))))
#s(literal 4/29 binary64)

soundness145.0ms (4.9%)

Memory

1.8MiB live, 161.5MiB allocated

Rules

5 334×	`lower-/.f32`
5 332×	`lower-/.f64`
3 418×	`lower-*.f64`
3 418×	`lower-*.f32`
2 760×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	82
1	41	82
2	67	82
3	140	82
4	140	82
5	143	82
6	148	82
7	148	82
0	148	73
0	5	8
0	7	8
1	33	8
2	177	8
3	1440	8
0	8404	7

Stop Event

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

Compiler

Compiled 54 to 35 computations (35.2% saved)

preprocess47.0ms (1.6%)

Memory: 7.4MiB live, 84.2MiB allocated
Compiler: Compiled 82 to 48 computations (41.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	9	24
0	14	25
1	18	25
2	29	23
3	42	23
4	62	23
5	79	23
6	108	23
7	134	23
8	146	23
9	149	23
0	149	23

Iter	Nodes	Cost
0	19	181
1	51	181
2	113	172
3	279	172
4	340	172
5	382	172
6	417	172
7	465	172
8	505	172
9	512	172
10	515	172
11	517	172
0	517	154

Iter	Nodes	Cost
0	9	24
0	14	25
1	18	25
2	29	23
3	42	23
4	62	23
5	79	23
6	108	23
7	134	23
8	146	23
9	149	23
0	149	23

Iter	Nodes	Cost
0	19	181
1	51	181
2	113	172
3	279	172
4	340	172
5	382	172
6	417	172
7	465	172
8	505	172
9	512	172
10	515	172
11	517	172
0	517	154

analyze0.0ms (0%)

sample774.0ms (26%)

preprocess32.0ms (1.1%)

explain68.0ms (2.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify5.0ms (0.2%)

localize15.0ms (0.5%)

series1.0ms (0%)

rewrite555.0ms (18.6%)

simplify10.0ms (0.3%)

eval87.0ms (2.9%)

prune155.0ms (5.2%)

simplify9.0ms (0.3%)

localize93.0ms (3.1%)

series2.0ms (0.1%)

rewrite653.0ms (21.9%)

simplify81.0ms (2.7%)

eval103.0ms (3.5%)

prune81.0ms (2.7%)

regimes7.0ms (0.2%)

regimes6.0ms (0.2%)

regimes19.0ms (0.6%)

regimes5.0ms (0.2%)

regimes4.0ms (0.1%)

bsearch0.0ms (0%)

simplify24.0ms (0.8%)

soundness145.0ms (4.9%)

preprocess47.0ms (1.6%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	9	24
0	14	25
1	18	25
2	29	23
3	42	23
4	62	23
5	79	23
6	108	23
7	134	23
8	146	23
9	149	23
0	149	23

Iter	Nodes	Cost
0	19	181
1	51	181
2	113	172
3	279	172
4	340	172
5	382	172
6	417	172
7	465	172
8	505	172
9	512	172
10	515	172
11	517	172
0	517	154