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

analyze2.0ms (0.1%)

Memory

-38.3MiB live, 0.6MiB 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)

sample644.0ms (27.6%)

Memory

6.4MiB live, 1 003.7MiB allocated

Samples

457.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 182.0ms

ival-add: 106.0ms (58.2% of total)

ival-div: 60.0ms (32.9% of total)

exact: 8.0ms (4.4% of total)

ival-true: 6.0ms (3.3% of total)

ival-assert: 3.0ms (1.6% of total)

Bogosity

preprocess19.0ms (0.8%)

Memory

35.9MiB live, 35.9MiB 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))

explain46.0ms (2%)

Memory

-6.8MiB live, 111.0MiB 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

18.0ms

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: 3.0ms (39.7% of total)

ival-add: 3.0ms (39.7% of total)

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

exact: 0.0ms (0% of total)

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

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

1.8MiB live, 1.8MiB 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)

simplify8.0ms (0.4%)

Memory

-44.2MiB live, 8.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize15.0ms (0.6%)

Memory

33.7MiB live, 33.7MiB 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 (55% of total)

ival-add: 1.0ms (27.5% of total)

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

exact: 0.0ms (0% of total)

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

series1.0ms (0.1%)

Memory

2.7MiB live, 2.7MiB allocated

Counts

2 → 24

Calls

Call 1

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

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

Calls

6 calls:

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

rewrite389.0ms (16.7%)

Memory

-1.6MiB live, 611.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

2 → 416

Calls

Call 1

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

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

simplify10.0ms (0.4%)

Memory

30.8MiB live, 30.8MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated

Counts

24 → 24

Calls

Call 1

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

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

eval54.0ms (2.3%)

Memory: 6.7MiB live, 117.6MiB allocated
Compiler: Compiled 10 358 to 1 234 computations (88.1% saved)

prune57.0ms (2.5%)

Memory

0.9MiB live, 121.1MiB allocated

Pruning

5 alts after pruning (5 fresh and 0 done)

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

Accuracy

100.0%

Counts

441 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
▶	48.4%	(/.f64 x #s(literal 116 binary64))
▶	99.9%	(*.f64 (-.f64 #s(literal -16 binary64) x) #s(literal -1/116 binary64))
▶	48.3%	(*.f64 #s(literal 1/116 binary64) x)
▶	53.4%	#s(literal 4/29 binary64)

Compiler

Compiled 42 to 34 computations (19% saved)

simplify10.0ms (0.4%)

Memory

-25.2MiB live, 14.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 5 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 x #s(literal 116 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	-64	(*.f64 #s(literal 1/116 binary64) x)
✓	cost-diff	0	(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 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	12	30
1	16	30
2	27	30
3	40	30
4	59	30
5	76	30
6	105	30
7	133	30
8	146	30
9	150	30
0	150	28

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize46.0ms (2%)

Memory

-4.9MiB live, 76.2MiB allocated

Localize:

Found 5 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))
✓	accuracy	99.8%	(*.f64 #s(literal 1/116 binary64) x)
✓	accuracy	99.9%	(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))

Samples

30.0ms

256×

valid

Compiler

Compiled 31 to 14 computations (54.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

const: 12.0ms (56.7% of total)

ival-mult: 5.0ms (23.6% of total)

ival-div: 2.0ms (9.5% of total)

ival-sub: 1.0ms (4.7% of total)

ival-add: 1.0ms (4.7% 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

4.3MiB live, 4.3MiB allocated

Counts

5 → 60

Calls

Call 1

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

15 calls:

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

rewrite468.0ms (20.1%)

Memory

14.7MiB live, 543.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 378×	`accelerator-lowering-fma.f32`
4 378×	`accelerator-lowering-fma.f64`
3 722×	`-lowering-.f32`
3 722×	`-lowering-.f64`
2 674×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	19
1	52	19
2	360	19
3	4618	19
0	8165	17

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 380

Calls

Call 1

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

Outputs
(+.f64 (*.f64 x #s(literal 1/116 binary64)) #s(literal 4/29 binary64))
(+.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal 1/116 binary64)))
(+.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1/13456 binary64)) (fma.f64 x #s(literal 1/116 binary64) #s(literal -4/29 binary64))) (neg.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal 1/116 binary64) #s(literal -4/29 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64)))) #s(literal -1 binary64)))
(-.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal -1/116 binary64)))
(-.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1/13456 binary64)) (fma.f64 x #s(literal 1/116 binary64) #s(literal -4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal 1/116 binary64) #s(literal -4/29 binary64))))
(-.f64 (/.f64 #s(literal 16/841 binary64) (+.f64 #s(literal 4/29 binary64) (.f64 x #s(literal -1/116 binary64)))) (/.f64 (.f64 (.f64 x x) #s(literal 1/13456 binary64)) (+.f64 #s(literal 4/29 binary64) (.f64 x #s(literal -1/116 binary64)))))
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
(fma.f64 x (/.f64 (*.f64 x #s(literal 1/13456 binary64)) (fma.f64 x #s(literal 1/116 binary64) #s(literal -4/29 binary64))) (neg.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal 1/116 binary64) #s(literal -4/29 binary64)))))
(fma.f64 x (exp.f64 (log.f64 #s(literal 1/116 binary64))) #s(literal 4/29 binary64))
(fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64))
(fma.f64 #s(literal 1/116 binary64) (/.f64 (.f64 x (.f64 x #s(literal 1/116 binary64))) (fma.f64 x #s(literal 1/116 binary64) #s(literal -4/29 binary64))) (neg.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal 1/116 binary64) #s(literal -4/29 binary64)))))
(fma.f64 #s(literal 1/116 binary64) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 4/29 binary64))
(fma.f64 (*.f64 x #s(literal 1/116 binary64)) #s(literal 1 binary64) #s(literal 4/29 binary64))
(fma.f64 (.f64 x #s(literal 1/116 binary64)) (/.f64 (.f64 x #s(literal 1/116 binary64)) (fma.f64 x #s(literal 1/116 binary64) #s(literal -4/29 binary64))) (neg.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal 1/116 binary64) #s(literal -4/29 binary64)))))
(fma.f64 #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 0 binary64) x) #s(literal 1 binary64)) #s(literal 4/29 binary64))
(fma.f64 #s(literal -1/116 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) #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 (.f64 (.f64 x x) #s(literal 1/13456 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/116 binary64) #s(literal -4/29 binary64))) (neg.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal 1/116 binary64) #s(literal -4/29 binary64)))))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1/13456 binary64) (fma.f64 x #s(literal 1/116 binary64) #s(literal -4/29 binary64))) (neg.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal 1/116 binary64) #s(literal -4/29 binary64)))))
(fma.f64 #s(literal 1 binary64) (*.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 x #s(literal 1/116 binary64) #s(literal -4/29 binary64))) (neg.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal 1/116 binary64) #s(literal -4/29 binary64)))))
(fma.f64 (*.f64 x #s(literal 1/13456 binary64)) (/.f64 x (fma.f64 x #s(literal 1/116 binary64) #s(literal -4/29 binary64))) (neg.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal 1/116 binary64) #s(literal -4/29 binary64)))))
(fma.f64 (.f64 x (.f64 x #s(literal 1/116 binary64))) (/.f64 #s(literal 1/116 binary64) (fma.f64 x #s(literal 1/116 binary64) #s(literal -4/29 binary64))) (neg.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal 1/116 binary64) #s(literal -4/29 binary64)))))
(fma.f64 (pow.f64 (.f64 x #s(literal 1/116 binary64)) #s(literal 1/2 binary64)) (pow.f64 (.f64 x #s(literal 1/116 binary64)) #s(literal 1/2 binary64)) #s(literal 4/29 binary64))
(fma.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1/13456 binary64)) (fma.f64 x (*.f64 x #s(literal 1/13456 binary64)) #s(literal -16/841 binary64))) (fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64)) (neg.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal 1/116 binary64) #s(literal -4/29 binary64)))))
(fma.f64 (/.f64 (.f64 (.f64 x 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 x #s(literal 1/116 binary64) #s(literal -4/29 binary64)))))
(fma.f64 (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) #s(literal -1/116 binary64) #s(literal 4/29 binary64))
(fma.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64)) #s(literal -1/116 binary64) #s(literal 4/29 binary64))
(fma.f64 (pow.f64 (pow.f64 (.f64 x #s(literal 1/116 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (.f64 x #s(literal 1/116 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 4/29 binary64))
(fma.f64 (exp.f64 (log.f64 (-.f64 #s(literal 0 binary64) x))) (exp.f64 (log.f64 #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)) (-.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)))))
(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 (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))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x #s(literal 1/13456 binary64)) #s(literal -16/841 binary64))) (fma.f64 x #s(literal 1/116 binary64) #s(literal -4/29 binary64))))
(/.f64 #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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4/29 binary64) (.f64 x #s(literal -1/116 binary64))) (-.f64 #s(literal 16/841 binary64) (.f64 (*.f64 x x) #s(literal 1/13456 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -16 binary64)) (+.f64 #s(literal -64/29 binary64) (.f64 x (.f64 x #s(literal 1/116 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (+.f64 x #s(literal -16 binary64)) #s(literal 256 binary64)) (.f64 #s(literal -1/116 binary64) (fma.f64 x (.f64 x x) #s(literal -4096 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 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x #s(literal 1/13456 binary64)) #s(literal -16/841 binary64))) (fma.f64 x #s(literal -1/116 binary64) #s(literal 4/29 binary64)))
(/.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal 1/3802961274698203136 binary64) #s(literal 262144/14507145975869 binary64)) (.f64 (fma.f64 x (-.f64 (.f64 x #s(literal 1/13456 binary64)) #s(literal 1/841 binary64)) #s(literal 16/841 binary64)) (-.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/2436396322816 binary64)) #s(literal 4096/594823321 binary64)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/594823321 binary64)))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/2436396322816 binary64)) #s(literal -4096/594823321 binary64)) (.f64 (fma.f64 x (-.f64 (.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 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/2436396322816 binary64)) #s(literal -4096/594823321 binary64)) (.f64 (fma.f64 x #s(literal 1/116 binary64) #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 (fma.f64 x (.f64 (.f64 x x) #s(literal 1/1560896 binary64)) #s(literal -64/24389 binary64)) (-.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))))
(/.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 -1/116 binary64))))
(/.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/181063936 binary64) #s(literal -256/707281 binary64)) (.f64 (fma.f64 x #s(literal 1/116 binary64) #s(literal -4/29 binary64)) (fma.f64 x (*.f64 x #s(literal 1/13456 binary64)) #s(literal 16/841 binary64))))
(/.f64 (+.f64 #s(literal -64/29 binary64) (.f64 x (.f64 x #s(literal 1/116 binary64)))) (+.f64 x #s(literal -16 binary64)))
(/.f64 (.f64 #s(literal -1/116 binary64) (fma.f64 x (.f64 x x) #s(literal -4096 binary64))) (fma.f64 x (+.f64 x #s(literal -16 binary64)) #s(literal 256 binary64)))
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(/.f64 (-.f64 (.f64 (/.f64 #s(literal -4096 binary64) (fma.f64 x (+.f64 x #s(literal -16 binary64)) #s(literal 256 binary64))) (.f64 (/.f64 #s(literal -4096 binary64) (fma.f64 x (+.f64 x #s(literal -16 binary64)) #s(literal 256 binary64))) (/.f64 #s(literal -4096 binary64) (fma.f64 x (+.f64 x #s(literal -16 binary64)) #s(literal 256 binary64))))) (.f64 (/.f64 (.f64 x (.f64 x x)) (fma.f64 x (+.f64 x #s(literal -16 binary64)) #s(literal 256 binary64))) (.f64 (/.f64 (.f64 x (.f64 x x)) (fma.f64 x (+.f64 x #s(literal -16 binary64)) #s(literal 256 binary64))) (/.f64 (.f64 x (.f64 x x)) (fma.f64 x (+.f64 x #s(literal -16 binary64)) #s(literal 256 binary64)))))) (fma.f64 (/.f64 #s(literal -4096 binary64) (fma.f64 x (+.f64 x #s(literal -16 binary64)) #s(literal 256 binary64))) (/.f64 #s(literal -4096 binary64) (fma.f64 x (+.f64 x #s(literal -16 binary64)) #s(literal 256 binary64))) (fma.f64 (/.f64 (.f64 x (.f64 x x)) (fma.f64 x (+.f64 x #s(literal -16 binary64)) #s(literal 256 binary64))) (/.f64 (.f64 x (.f64 x x)) (fma.f64 x (+.f64 x #s(literal -16 binary64)) #s(literal 256 binary64))) (.f64 (/.f64 #s(literal -4096 binary64) (fma.f64 x (+.f64 x #s(literal -16 binary64)) #s(literal 256 binary64))) (/.f64 (.f64 x (*.f64 x x)) (fma.f64 x (+.f64 x #s(literal -16 binary64)) #s(literal 256 binary64)))))))
(/.f64 (-.f64 (/.f64 #s(literal 16777216 binary64) (.f64 (+.f64 x #s(literal -16 binary64)) (.f64 (+.f64 x #s(literal -16 binary64)) (+.f64 x #s(literal -16 binary64))))) (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (+.f64 x #s(literal -16 binary64)) (.f64 (+.f64 x #s(literal -16 binary64)) (+.f64 x #s(literal -16 binary64)))))) (fma.f64 (/.f64 #s(literal 256 binary64) (+.f64 x #s(literal -16 binary64))) (/.f64 #s(literal 256 binary64) (+.f64 x #s(literal -16 binary64))) (fma.f64 (/.f64 (.f64 x x) (+.f64 x #s(literal -16 binary64))) (/.f64 (.f64 x x) (+.f64 x #s(literal -16 binary64))) (.f64 (/.f64 #s(literal 256 binary64) (+.f64 x #s(literal -16 binary64))) (/.f64 (*.f64 x x) (+.f64 x #s(literal -16 binary64)))))))
(/.f64 (-.f64 (*.f64 x x) #s(literal 256 binary64)) (-.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -16 binary64)))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal -4096 binary64) (fma.f64 x (+.f64 x #s(literal -16 binary64)) #s(literal 256 binary64))) (/.f64 #s(literal -4096 binary64) (fma.f64 x (+.f64 x #s(literal -16 binary64)) #s(literal 256 binary64)))) (.f64 (/.f64 (.f64 x (.f64 x x)) (fma.f64 x (+.f64 x #s(literal -16 binary64)) #s(literal 256 binary64))) (/.f64 (.f64 x (.f64 x x)) (fma.f64 x (+.f64 x #s(literal -16 binary64)) #s(literal 256 binary64))))) (+.f64 (/.f64 #s(literal -4096 binary64) (fma.f64 x (+.f64 x #s(literal -16 binary64)) #s(literal 256 binary64))) (/.f64 (.f64 x (.f64 x x)) (fma.f64 x (+.f64 x #s(literal -16 binary64)) #s(literal 256 binary64)))))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 256 binary64) (+.f64 x #s(literal -16 binary64))) (/.f64 #s(literal 256 binary64) (+.f64 x #s(literal -16 binary64)))) (.f64 (/.f64 (.f64 x x) (+.f64 x #s(literal -16 binary64))) (/.f64 (.f64 x x) (+.f64 x #s(literal -16 binary64))))) (+.f64 (/.f64 #s(literal 256 binary64) (+.f64 x #s(literal -16 binary64))) (/.f64 (*.f64 x x) (+.f64 x #s(literal -16 binary64)))))
(/.f64 (.f64 (fma.f64 x (.f64 x x) #s(literal -4096 binary64)) #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal -16 binary64)) #s(literal 256 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 256 binary64) (.f64 x x)) #s(literal 1 binary64)) (+.f64 x #s(literal -16 binary64)))
(/.f64 (.f64 (-.f64 #s(literal -68719476736 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -16 binary64)) #s(literal 256 binary64)))) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x x) #s(literal -4096 binary64)) #s(literal 16777216 binary64)))
(/.f64 (.f64 (+.f64 #s(literal 16777216 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -16 binary64)) #s(literal 256 binary64)))) (fma.f64 x (*.f64 x x) #s(literal -4096 binary64)))
(/.f64 (.f64 (+.f64 #s(literal 16777216 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -16 binary64)))) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 256 binary64)) #s(literal 65536 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 65536 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -16 binary64)))) (fma.f64 x x #s(literal 256 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -16 binary64) x)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -16 binary64) x)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -16 binary64)) #s(literal 256 binary64)) (fma.f64 x (*.f64 x x) #s(literal -4096 binary64))) #s(literal -1 binary64))
(.f64 (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 (fma.f64 x (.f64 x x) #s(literal -4096 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -16 binary64)) #s(literal 256 binary64))))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal -16 binary64) x))
(.f64 (-.f64 #s(literal 256 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -16 binary64))))
(.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (.f64 x x) #s(literal -4096 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x (+.f64 x #s(literal -16 binary64)) #s(literal 256 binary64)))))
(.f64 (+.f64 #s(literal -256 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 16 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -16 binary64)) #s(literal 256 binary64))) (fma.f64 x (.f64 x x) #s(literal -4096 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -16 binary64)) #s(literal 256 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x x) #s(literal -4096 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -16 binary64))) (-.f64 #s(literal 256 binary64) (.f64 x x)))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -16 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 256 binary64) (.f64 x x))) #s(literal -1 binary64)))
(.f64 (/.f64 (-.f64 #s(literal 256 binary64) (.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal -4096 binary64))) (fma.f64 x (-.f64 x #s(literal -16 binary64)) #s(literal 256 binary64)))
(.f64 (/.f64 (-.f64 #s(literal 256 binary64) (.f64 x x)) (-.f64 #s(literal 256 binary64) (*.f64 x x))) (-.f64 #s(literal -16 binary64) x))
(.f64 (/.f64 (fma.f64 x (.f64 x x) #s(literal -4096 binary64)) (fma.f64 (.f64 x (.f64 x x)) (.f64 (+.f64 x #s(literal -16 binary64)) (.f64 (+.f64 x #s(literal -16 binary64)) (+.f64 x #s(literal -16 binary64)))) #s(literal 16777216 binary64))) (fma.f64 (.f64 x (+.f64 x #s(literal -16 binary64))) (-.f64 (.f64 x (+.f64 x #s(literal -16 binary64))) #s(literal 256 binary64)) #s(literal 65536 binary64)))
(.f64 (/.f64 (fma.f64 x (.f64 x x) #s(literal -4096 binary64)) (-.f64 #s(literal 65536 binary64) (.f64 (.f64 x x) (.f64 (+.f64 x #s(literal -16 binary64)) (+.f64 x #s(literal -16 binary64)))))) (-.f64 #s(literal 256 binary64) (.f64 x (+.f64 x #s(literal -16 binary64)))))
(.f64 (pow.f64 (/.f64 (+.f64 x #s(literal -16 binary64)) (+.f64 #s(literal 16777216 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 256 binary64)) #s(literal 65536 binary64))))
(.f64 (pow.f64 (/.f64 (+.f64 x #s(literal -16 binary64)) (-.f64 #s(literal 65536 binary64) (.f64 x (.f64 x (.f64 x x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 256 binary64))))
(.f64 (pow.f64 (/.f64 (fma.f64 x (+.f64 x #s(literal -16 binary64)) #s(literal 256 binary64)) (-.f64 #s(literal -68719476736 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x x) #s(literal -4096 binary64)) #s(literal 16777216 binary64))))
(.f64 (pow.f64 (/.f64 (fma.f64 x (+.f64 x #s(literal -16 binary64)) #s(literal 256 binary64)) (+.f64 #s(literal 16777216 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal -4096 binary64))))
(exp.f64 (log.f64 (*.f64 x #s(literal 1/116 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 x #s(literal 1/116 binary64))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 x #s(literal -1/116 binary64)))
(neg.f64 (*.f64 x #s(literal -1/116 binary64)))
(neg.f64 (.f64 (.f64 x #s(literal -1/116 binary64)) #s(literal 1 binary64)))
(/.f64 x #s(literal 116 binary64))
(/.f64 x (exp.f64 (log.f64 #s(literal 116 binary64))))
(/.f64 #s(literal 1/116 binary64) (/.f64 #s(literal 1 binary64) x))
(/.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 binary64) (/.f64 #s(literal -116 binary64) x))
(/.f64 (exp.f64 (log.f64 (-.f64 #s(literal 0 binary64) x))) (exp.f64 (log.f64 #s(literal -116 binary64))))
(/.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (exp.f64 (-.f64 #s(literal 0 binary64) (log.f64 (*.f64 x #s(literal -1/116 binary64))))))
(pow.f64 (*.f64 x #s(literal 1/116 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 116 binary64) x) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 13456 binary64) (*.f64 x x)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (*.f64 x #s(literal 1/116 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (log.f64 (*.f64 x #s(literal 1/116 binary64)))))
(*.f64 x #s(literal 1/116 binary64))
(*.f64 x (exp.f64 (log.f64 #s(literal 1/116 binary64))))
(*.f64 #s(literal 1/116 binary64) x)
(*.f64 #s(literal 1/116 binary64) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 x #s(literal 1/116 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -1/116 binary64) (-.f64 #s(literal 0 binary64) x))
(*.f64 #s(literal -1/116 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)))
(*.f64 #s(literal -1/116 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) #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 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 (.f64 x #s(literal 1/116 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 x #s(literal 1/116 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) #s(literal -1/116 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64)) #s(literal -1/116 binary64))
(.f64 (pow.f64 (pow.f64 (.f64 x #s(literal 1/116 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (*.f64 x #s(literal 1/116 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (exp.f64 (log.f64 (-.f64 #s(literal 0 binary64) x))) (exp.f64 (log.f64 #s(literal -1/116 binary64))))
(*.f64 (exp.f64 (log.f64 #s(literal 1/116 binary64))) x)

simplify25.0ms (1.1%)

Memory

2.5MiB live, 41.2MiB 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	217
1	51	217
2	113	208
3	280	208
4	341	208
5	383	208
6	418	208
7	467	208
8	507	208
9	514	208
10	517	208
11	519	208
0	519	190

Stop Event

1×	iter limit
1×	saturated

Counts

60 → 60

Calls

Call 1

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

eval310.0ms (13.3%)

Memory: -26.3MiB live, 88.6MiB allocated
Compiler: Compiled 6 967 to 653 computations (90.6% saved)

prune40.0ms (1.7%)

Memory

26.7MiB live, 66.3MiB allocated

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	440	0	440
Fresh	0	0	0
Picked	0	5	5
Done	0	0	0
Total	440	5	445

Accuracy

100.0%

Counts

445 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
✓	48.4%	(/.f64 x #s(literal 116 binary64))
✓	99.9%	(*.f64 (-.f64 #s(literal -16 binary64) x) #s(literal -1/116 binary64))
✓	48.3%	(*.f64 #s(literal 1/116 binary64) x)
✓	53.4%	#s(literal 4/29 binary64)

Compiler

Compiled 43 to 31 computations (27.9% saved)

regimes32.0ms (1.4%)

Memory

-28.8MiB live, 15.3MiB allocated

Counts

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

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

Calls

3 calls:

26.0ms	(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))
3.0ms	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)

regimes7.0ms (0.3%)

Memory

11.6MiB live, 11.6MiB 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 x #s(literal 116 binary64))

Outputs
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 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
99.9%	1	`x`
99.9%	1	`(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))`
99.9%	1	`(+.f64 x #s(literal 16 binary64))`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes5.0ms (0.2%)

Memory

8.8MiB live, 8.8MiB allocated

Counts

2 → 3

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
98.0%	3	`x`
98.0%	3	`(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))`
98.0%	3	`(+.f64 x #s(literal 16 binary64))`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes4.0ms (0.2%)

Memory

11.7MiB live, 11.7MiB 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
53.4%	1	`x`
53.4%	1	`(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))`
53.4%	1	`(+.f64 x #s(literal 16 binary64))`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	16.02320930418625	35449.78921774259
0.0ms	-1063940396.7215474	15.999999999518238

Compiler

Compiled 9 to 9 computations (0% saved)

simplify8.0ms (0.4%)

Memory

-18.0MiB live, 20.6MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	27
1	20	27

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
(if (<=.f64 (+.f64 x #s(literal 16 binary64)) #s(literal -1000000000 binary64)) (.f64 #s(literal 1/116 binary64) x) (if (<=.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 20 binary64)) #s(literal 4/29 binary64) (.f64 #s(literal 1/116 binary64) x)))
#s(literal 4/29 binary64)

Outputs
(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
(if (<=.f64 (+.f64 x #s(literal 16 binary64)) #s(literal -1000000000 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 -1000000000 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)

soundness101.0ms (4.3%)

Memory

-39.4MiB live, 106.5MiB 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 43 to 26 computations (39.5% saved)

preprocess28.0ms (1.2%)

Memory: 5.0MiB live, 83.1MiB allocated
Compiler: Compiled 72 to 40 computations (44.4% 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	12	30
1	16	30
2	27	30
3	40	30
4	59	30
5	76	30
6	105	30
7	133	30
8	146	30
9	150	30
0	150	28

Iter	Nodes	Cost
0	19	217
1	51	217
2	113	208
3	280	208
4	341	208
5	383	208
6	418	208
7	467	208
8	507	208
9	514	208
10	517	208
11	519	208
0	519	190

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	12	30
1	16	30
2	27	30
3	40	30
4	59	30
5	76	30
6	105	30
7	133	30
8	146	30
9	150	30
0	150	28

Iter	Nodes	Cost
0	19	217
1	51	217
2	113	208
3	280	208
4	341	208
5	383	208
6	418	208
7	467	208
8	507	208
9	514	208
10	517	208
11	519	208
0	519	190

analyze2.0ms (0.1%)

sample644.0ms (27.6%)

preprocess19.0ms (0.8%)

explain46.0ms (2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify8.0ms (0.4%)

localize15.0ms (0.6%)

series1.0ms (0.1%)

rewrite389.0ms (16.7%)

simplify10.0ms (0.4%)

eval54.0ms (2.3%)

prune57.0ms (2.5%)

simplify10.0ms (0.4%)

localize46.0ms (2%)

series2.0ms (0.1%)

rewrite468.0ms (20.1%)

simplify25.0ms (1.1%)

eval310.0ms (13.3%)

prune40.0ms (1.7%)

regimes32.0ms (1.4%)

regimes7.0ms (0.3%)

regimes5.0ms (0.2%)

regimes4.0ms (0.2%)

bsearch0.0ms (0%)

simplify8.0ms (0.4%)

soundness101.0ms (4.3%)

preprocess28.0ms (1.2%)

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	12	30
1	16	30
2	27	30
3	40	30
4	59	30
5	76	30
6	105	30
7	133	30
8	146	30
9	150	30
0	150	28

Iter	Nodes	Cost
0	19	217
1	51	217
2	113	208
3	280	208
4	341	208
5	383	208
6	418	208
7	467	208
8	507	208
9	514	208
10	517	208
11	519	208
0	519	190