Metrics for Numeric.SpecFunctions:invIncompleteGamma from math-functions-0.1.5.2, A

analyze0.0ms (0%)

Memory

0.6MiB 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 11 to 10 computations (9.1% saved)

sample1.6s (19.3%)

Memory

36.7MiB live, 1 220.6MiB allocated

Samples

1.1s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 827.0ms

const: 398.0ms (48.1% of total)

ival-mult: 242.0ms (29.2% of total)

ival-add: 115.0ms (13.9% of total)

ival-sub: 58.0ms (7% of total)

ival-true: 6.0ms (0.7% of total)

exact: 5.0ms (0.6% of total)

ival-assert: 3.0ms (0.4% of total)

Bogosity

preprocess290.0ms (3.5%)

Memory

-9.3MiB live, 74.4MiB allocated

Algorithm

2×	egg-herbie

Rules

584×	`accelerator-lowering-fma.f32`
584×	`accelerator-lowering-fma.f64`
248×	`-lowering-.f32`
248×	`-lowering-.f64`
148×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	30
1	52	27
2	163	27
3	457	27
4	856	27
5	1033	27
6	1089	27
7	1104	27
0	8	9
1	24	9
2	62	9
3	127	9
4	220	9
5	340	9
6	477	9
7	637	9
8	659	9
0	659	7

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(- 1 (* x (+ 253/1000 (* x 3/25))))

Outputs
(- 1 (* x (+ 253/1000 (* x 3/25))))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))

Call 2

Inputs
(- 1 (* x (+ 253/1000 (* x 3/25))))
(- 1 (* (neg x) (+ 253/1000 (* (neg x) 3/25))))
(neg (- 1 (* (neg x) (+ 253/1000 (* (neg x) 3/25)))))

Outputs
(- 1 (* x (+ 253/1000 (* x 3/25))))
(+ 1 (* x (+ (* x -3/25) -253/1000)))
(- 1 (* (neg x) (+ 253/1000 (* (neg x) 3/25))))
(+ 1 (* x (+ 253/1000 (* x -3/25))))
(neg (- 1 (* (neg x) (+ 253/1000 (* (neg x) 3/25)))))
(+ (* x (+ (* x 3/25) -253/1000)) -1)

explain206.0ms (2.5%)

Memory

-6.1MiB live, 183.6MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))`
-	-	`#s(literal 3/25 binary64)`
-	-	`(.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))`
-	-	`#s(literal 1 binary64)`
-	-	`(*.f64 x #s(literal 3/25 binary64))`
-	-	`(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))`
-	-	`#s(literal 253/1000 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

106.0ms

512×

valid

Compiler

Compiled 80 to 36 computations (55% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

const: 14.0ms (48.6% of total)

ival-mult: 9.0ms (31.2% of total)

ival-sub: 2.0ms (6.9% of total)

ival-add: 2.0ms (6.9% 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, 0.3MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))

Compiler

Compiled 10 to 8 computations (20% saved)

simplify57.0ms (0.7%)

Memory

4.2MiB live, 43.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-64	(*.f64 x #s(literal 3/25 binary64))
✓	cost-diff	-64	(.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))
✓	cost-diff	192	(+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))
✓	cost-diff	192	(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))

Rules

584×	`accelerator-lowering-fma.f32`
584×	`accelerator-lowering-fma.f64`
248×	`-lowering-.f32`
248×	`-lowering-.f64`
136×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	28
1	24	28
2	62	28
3	127	28
4	220	28
5	340	28
6	477	28
7	637	28
8	659	28
0	659	24

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(- 1 (* x (+ 253/1000 (* x 3/25))))
1
(* x (+ 253/1000 (* x 3/25)))
x
(+ 253/1000 (* x 3/25))
253/1000
(* x 3/25)
3/25

Outputs
(- 1 (* x (+ 253/1000 (* x 3/25))))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(* x (+ 253/1000 (* x 3/25)))
(fma.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) #s(literal 0 binary64))
x
(+ 253/1000 (* x 3/25))
(fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))
253/1000
#s(literal 253/1000 binary64)
(* x 3/25)
(fma.f64 x #s(literal 3/25 binary64) #s(literal 0 binary64))
3/25
#s(literal 3/25 binary64)

localize66.0ms (0.8%)

Memory

2.1MiB live, 41.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))
✓	accuracy	100.0%	(+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))
✓	accuracy	99.9%	(.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))
✓	accuracy	99.5%	(*.f64 x #s(literal 3/25 binary64))

Samples

56.0ms

256×

valid

Compiler

Compiled 30 to 10 computations (66.7% saved)

Precisions

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

const: 6.0ms (48.6% of total)

ival-mult: 3.0ms (24.3% of total)

ival-sub: 1.0ms (8.1% of total)

ival-add: 1.0ms (8.1% of total)

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

exact: 0.0ms (0% of total)

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

series4.0ms (0%)

Memory

9.7MiB live, 9.7MiB allocated

Counts

4 → 48

Calls

Call 1

Inputs
#<alt (- 1 (* x (+ 253/1000 (* x 3/25))))>
#<alt (+ 253/1000 (* x 3/25))>
#<alt (* x (+ 253/1000 (* x 3/25)))>
#<alt (* x 3/25)>

Outputs
#<alt 1>
#<alt (+ 1 (* -253/1000 x))>
#<alt (+ 1 (* x (- (* -3/25 x) 253/1000)))>
#<alt (+ 1 (* x (- (* -3/25 x) 253/1000)))>
#<alt (* -3/25 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -3/25 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))>
#<alt (* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))>
#<alt 253/1000>
#<alt (+ 253/1000 (* 3/25 x))>
#<alt (+ 253/1000 (* 3/25 x))>
#<alt (+ 253/1000 (* 3/25 x))>
#<alt (* 3/25 x)>
#<alt (* x (+ 3/25 (* 253/1000 (/ 1 x))))>
#<alt (* x (+ 3/25 (* 253/1000 (/ 1 x))))>
#<alt (* x (+ 3/25 (* 253/1000 (/ 1 x))))>
#<alt (* 3/25 x)>
#<alt (* x (+ 3/25 (* 253/1000 (/ 1 x))))>
#<alt (* x (+ 3/25 (* 253/1000 (/ 1 x))))>
#<alt (* x (+ 3/25 (* 253/1000 (/ 1 x))))>
#<alt (* 253/1000 x)>
#<alt (* x (+ 253/1000 (* 3/25 x)))>
#<alt (* x (+ 253/1000 (* 3/25 x)))>
#<alt (* x (+ 253/1000 (* 3/25 x)))>
#<alt (* 3/25 (pow x 2))>
#<alt (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))>
#<alt (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))>
#<alt (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))>
#<alt (* 3/25 (pow x 2))>
#<alt (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))>
#<alt (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))>
#<alt (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))>
#<alt (* 3/25 x)>
#<alt (* 3/25 x)>
#<alt (* 3/25 x)>
#<alt (* 3/25 x)>
#<alt (* 3/25 x)>
#<alt (* 3/25 x)>
#<alt (* 3/25 x)>
#<alt (* 3/25 x)>
#<alt (* 3/25 x)>
#<alt (* 3/25 x)>
#<alt (* 3/25 x)>
#<alt (* 3/25 x)>

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(* x 3/25)
0.0ms	x	@	inf	(- 1 (* x (+ 253/1000 (* x 3/25))))
0.0ms	x	@	inf	(+ 253/1000 (* x 3/25))
0.0ms	x	@	-inf	(- 1 (* x (+ 253/1000 (* x 3/25))))
0.0ms	x	@	0	(- 1 (* x (+ 253/1000 (* x 3/25))))

rewrite571.0ms (6.8%)

Memory

-7.3MiB live, 592.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 504×	`accelerator-lowering-fma.f32`
4 504×	`accelerator-lowering-fma.f64`
4 210×	`-lowering-.f32`
4 210×	`-lowering-.f64`
2 686×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	24
1	51	24
2	425	24
3	4315	24
0	8268	20

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 317

Calls

Call 1

Inputs
(- 1 (* x (+ 253/1000 (* x 3/25))))
(+ 253/1000 (* x 3/25))
(* x (+ 253/1000 (* x 3/25)))
(* x 3/25)

Outputs
(+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))))
(+.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) x) (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) (-.f64 #s(literal 0 binary64) x)))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))))
(+.f64 (*.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))) #s(literal 1 binary64))
(+.f64 (*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))) #s(literal 1 binary64))
(+.f64 (.f64 x #s(literal 253/1000 binary64)) (fma.f64 x (.f64 x #s(literal 3/25 binary64)) #s(literal 1 binary64)))
(+.f64 (.f64 x (.f64 x #s(literal 3/25 binary64))) (fma.f64 x #s(literal 253/1000 binary64) #s(literal 1 binary64)))
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) (.f64 x (fma.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))) (neg.f64 (/.f64 (.f64 (.f64 (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))) (.f64 (.f64 x x) (.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))))) (fma.f64 (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) (*.f64 x (fma.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)))))
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) #s(literal 1 binary64))) (neg.f64 (/.f64 (.f64 (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) (.f64 (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) (*.f64 x x))) (fma.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) #s(literal 1 binary64)))))
(+.f64 (.f64 x #s(literal -253/1000 binary64)) (fma.f64 x (.f64 x #s(literal -3/25 binary64)) #s(literal 1 binary64)))
(+.f64 (.f64 (.f64 x x) #s(literal -3/25 binary64)) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)))
(+.f64 (fma.f64 x #s(literal 253/1000 binary64) #s(literal 1 binary64)) (.f64 x (.f64 x #s(literal 3/25 binary64))))
(+.f64 (-.f64 #s(literal 1 binary64) (.f64 x #s(literal 253/1000 binary64))) (.f64 (*.f64 x x) #s(literal -3/25 binary64)))
(+.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 3/25 binary64)))) (*.f64 x #s(literal 253/1000 binary64)))
(+.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -3/25 binary64))) (*.f64 x #s(literal -253/1000 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) #s(literal 1 binary64)))) #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))))
(-.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))))
(-.f64 #s(literal 0 binary64) (-.f64 (*.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) (.f64 x (fma.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))) (/.f64 (.f64 (.f64 (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))) (.f64 (.f64 x x) (.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))))) (fma.f64 (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) (*.f64 x (fma.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) #s(literal 1 binary64))) (/.f64 (.f64 (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) (.f64 (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) (*.f64 x x))) (fma.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) #s(literal 1 binary64))))
(-.f64 (-.f64 #s(literal 1 binary64) (.f64 x #s(literal 253/1000 binary64))) (.f64 x (*.f64 x #s(literal 3/25 binary64))))
(-.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 3/25 binary64)))) (*.f64 x #s(literal 253/1000 binary64)))
(-.f64 (-.f64 #s(literal 1 binary64) (.f64 x #s(literal -253/1000 binary64))) (.f64 (*.f64 x x) #s(literal -3/25 binary64)))
(-.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -3/25 binary64))) (*.f64 x #s(literal -253/1000 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (.f64 x #s(literal 253/1000 binary64)) (fma.f64 x (.f64 x #s(literal 3/25 binary64)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 3/25 binary64))) (fma.f64 x #s(literal 253/1000 binary64) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) (.f64 x (fma.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))) (neg.f64 (/.f64 (.f64 (.f64 (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))) (.f64 (.f64 x x) (.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))))) (fma.f64 (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) (*.f64 x (fma.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) #s(literal 1 binary64))) (neg.f64 (/.f64 (.f64 (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) (.f64 (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) (*.f64 x x))) (fma.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) #s(literal 1 binary64)))))
(fma.f64 x #s(literal 253/1000 binary64) (fma.f64 x (*.f64 x #s(literal 3/25 binary64)) #s(literal 1 binary64)))
(fma.f64 x (*.f64 x #s(literal 3/25 binary64)) (fma.f64 x #s(literal 253/1000 binary64) #s(literal 1 binary64)))
(fma.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) #s(literal 1 binary64))
(fma.f64 x (*.f64 x #s(literal -3/25 binary64)) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(fma.f64 x #s(literal -253/1000 binary64) (fma.f64 x (*.f64 x #s(literal -3/25 binary64)) #s(literal 1 binary64)))
(fma.f64 x (.f64 (.f64 x #s(literal 3/25 binary64)) #s(literal 1 binary64)) (fma.f64 x #s(literal 253/1000 binary64) #s(literal 1 binary64)))
(fma.f64 #s(literal 253/1000 binary64) x (fma.f64 x (*.f64 x #s(literal 3/25 binary64)) #s(literal 1 binary64)))
(fma.f64 #s(literal 253/1000 binary64) (-.f64 #s(literal 0 binary64) x) (fma.f64 x (*.f64 x #s(literal -3/25 binary64)) #s(literal 1 binary64)))
(fma.f64 #s(literal 3/25 binary64) (*.f64 x x) (fma.f64 x #s(literal 253/1000 binary64) #s(literal 1 binary64)))
(fma.f64 #s(literal 3/25 binary64) (neg.f64 (*.f64 x x)) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)))
(fma.f64 #s(literal 3/25 binary64) (*.f64 x (-.f64 #s(literal 0 binary64) x)) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)))
(fma.f64 #s(literal 3/25 binary64) (.f64 (.f64 x x) #s(literal 1 binary64)) (fma.f64 x #s(literal 253/1000 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 x #s(literal 3/25 binary64)) x (fma.f64 x #s(literal 253/1000 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 x #s(literal 3/25 binary64)) (-.f64 #s(literal 0 binary64) x) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)))
(fma.f64 (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) x #s(literal 1 binary64))
(fma.f64 (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64))
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(/.f64 (exp.f64 (log.f64 (.f64 x (fma.f64 (.f64 x (.f64 x x)) #s(literal 27/15625 binary64) #s(literal 16194277/1000000000 binary64))))) (exp.f64 (log.f64 (fma.f64 x (-.f64 (.f64 x #s(literal 9/625 binary64)) #s(literal 759/25000 binary64)) #s(literal 64009/1000000 binary64)))))
(/.f64 (exp.f64 (log.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64))))) (exp.f64 (log.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)))))
(pow.f64 (*.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))) #s(literal 1 binary64))
(pow.f64 (/.f64 (fma.f64 (.f64 x (.f64 x #s(literal 3/25 binary64))) (-.f64 (.f64 x (.f64 x #s(literal 3/25 binary64))) (.f64 x #s(literal 253/1000 binary64))) (.f64 #s(literal 64009/1000000 binary64) (.f64 x x))) (fma.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 27/15625 binary64)) (.f64 x (.f64 x x)) (.f64 #s(literal 16194277/1000000000 binary64) (.f64 x (*.f64 x x))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) (.f64 (.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))) (.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x (-.f64 (.f64 x #s(literal 9/625 binary64)) #s(literal 759/25000 binary64)) #s(literal 64009/1000000 binary64)) (.f64 x (fma.f64 (.f64 x (.f64 x x)) #s(literal 27/15625 binary64) #s(literal 16194277/1000000000 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)) (.f64 x (fma.f64 (.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64)))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))))
(*.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))
(*.f64 (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) x)
(.f64 (.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))) #s(literal 1 binary64))
(.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 27/15625 binary64) #s(literal 16194277/1000000000 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (*.f64 x #s(literal 9/625 binary64)) #s(literal 759/25000 binary64)) #s(literal 64009/1000000 binary64))) x))
(.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 27/15625 binary64) #s(literal 16194277/1000000000 binary64)) (/.f64 x (fma.f64 x (-.f64 (.f64 x #s(literal 9/625 binary64)) #s(literal 759/25000 binary64)) #s(literal 64009/1000000 binary64))))
(.f64 (fma.f64 (.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) x))
(.f64 (fma.f64 (.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64)) (/.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))))
(.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 27/15625 binary64)) (.f64 x (.f64 x x)) (.f64 #s(literal 16194277/1000000000 binary64) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 x #s(literal 3/25 binary64))) (-.f64 (.f64 x (.f64 x #s(literal 3/25 binary64))) (.f64 x #s(literal 253/1000 binary64))) (.f64 #s(literal 64009/1000000 binary64) (.f64 x x)))))
(.f64 (.f64 (.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))) (.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)))))
(.f64 (.f64 x (fma.f64 (.f64 x (.f64 x x)) #s(literal 27/15625 binary64) #s(literal 16194277/1000000000 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (*.f64 x #s(literal 9/625 binary64)) #s(literal 759/25000 binary64)) #s(literal 64009/1000000 binary64))))
(.f64 (.f64 x (fma.f64 (*.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))))
(.f64 (/.f64 (.f64 x (fma.f64 (.f64 x (.f64 x x)) #s(literal 27/15625 binary64) #s(literal 16194277/1000000000 binary64))) (fma.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 27/15625 binary64)) (.f64 (.f64 (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))) #s(literal 262254607552729/1000000000000000000 binary64))) (fma.f64 (.f64 x (-.f64 (.f64 x #s(literal 9/625 binary64)) #s(literal 759/25000 binary64))) (-.f64 (.f64 x (-.f64 (*.f64 x #s(literal 9/625 binary64)) #s(literal 759/25000 binary64))) #s(literal 64009/1000000 binary64)) #s(literal 4097152081/1000000000000 binary64)))
(.f64 (/.f64 (.f64 x (fma.f64 (.f64 x (.f64 x x)) #s(literal 27/15625 binary64) #s(literal 16194277/1000000000 binary64))) (-.f64 #s(literal 4097152081/1000000000000 binary64) (.f64 (.f64 x (.f64 x #s(literal 9/625 binary64))) (.f64 (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)))))) (-.f64 #s(literal 64009/1000000 binary64) (.f64 x (-.f64 (.f64 x #s(literal 9/625 binary64)) #s(literal 759/25000 binary64)))))
(.f64 (/.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64))) (fma.f64 (.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64))) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))
(.f64 (/.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64))) (+.f64 #s(literal 16194277/1000000000 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -27/15625 binary64)))) (fma.f64 x (fma.f64 x #s(literal 9/625 binary64) #s(literal 759/25000 binary64)) #s(literal 64009/1000000 binary64)))
(*.f64 (exp.f64 (log.f64 (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))) (exp.f64 (log.f64 x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))))
(exp.f64 (log.f64 (*.f64 x #s(literal 3/25 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 x #s(literal 3/25 binary64))) #s(literal 1 binary64)))
(pow.f64 (*.f64 x #s(literal 3/25 binary64)) #s(literal 1 binary64))
(*.f64 x #s(literal 3/25 binary64))
(*.f64 #s(literal 3/25 binary64) x)
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 #s(literal 3/25 binary64))))
(*.f64 (exp.f64 (log.f64 #s(literal 3/25 binary64))) (exp.f64 (log.f64 x)))

simplify257.0ms (3.1%)

Memory

0.3MiB live, 498.3MiB allocated

Algorithm

1×	egg-herbie

Rules

5 044×	`accelerator-lowering-fma.f32`
5 044×	`accelerator-lowering-fma.f64`
3 798×	`-lowering-.f32`
3 798×	`-lowering-.f64`
1 542×	`cube-prod`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	254
1	93	254
2	217	248
3	501	248
4	1016	248
5	2377	248
6	4088	248
7	5191	248
8	6484	248
9	7517	248
0	8007	215

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 48

Calls

Call 1

Inputs
1
(+ 1 (* -253/1000 x))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
253/1000
(+ 253/1000 (* 3/25 x))
(+ 253/1000 (* 3/25 x))
(+ 253/1000 (* 3/25 x))
(* 3/25 x)
(* x (+ 3/25 (* 253/1000 (/ 1 x))))
(* x (+ 3/25 (* 253/1000 (/ 1 x))))
(* x (+ 3/25 (* 253/1000 (/ 1 x))))
(* 3/25 x)
(* x (+ 3/25 (* 253/1000 (/ 1 x))))
(* x (+ 3/25 (* 253/1000 (/ 1 x))))
(* x (+ 3/25 (* 253/1000 (/ 1 x))))
(* 253/1000 x)
(* x (+ 253/1000 (* 3/25 x)))
(* x (+ 253/1000 (* 3/25 x)))
(* x (+ 253/1000 (* 3/25 x)))
(* 3/25 (pow x 2))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(* 3/25 (pow x 2))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(* 3/25 x)
(* 3/25 x)
(* 3/25 x)
(* 3/25 x)
(* 3/25 x)
(* 3/25 x)
(* 3/25 x)
(* 3/25 x)
(* 3/25 x)
(* 3/25 x)
(* 3/25 x)
(* 3/25 x)

Outputs
1
#s(literal 1 binary64)
(+ 1 (* -253/1000 x))
(fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(* -3/25 (pow x 2))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 0 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(* -3/25 (pow x 2))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 0 binary64))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
253/1000
#s(literal 253/1000 binary64)
(+ 253/1000 (* 3/25 x))
(fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))
(+ 253/1000 (* 3/25 x))
(fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))
(+ 253/1000 (* 3/25 x))
(fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))
(* 3/25 x)
(fma.f64 x #s(literal 3/25 binary64) #s(literal 0 binary64))
(* x (+ 3/25 (* 253/1000 (/ 1 x))))
(fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))
(* x (+ 3/25 (* 253/1000 (/ 1 x))))
(fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))
(* x (+ 3/25 (* 253/1000 (/ 1 x))))
(fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))
(* 3/25 x)
(fma.f64 x #s(literal 3/25 binary64) #s(literal 0 binary64))
(* x (+ 3/25 (* 253/1000 (/ 1 x))))
(fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))
(* x (+ 3/25 (* 253/1000 (/ 1 x))))
(fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))
(* x (+ 3/25 (* 253/1000 (/ 1 x))))
(fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))
(* 253/1000 x)
(fma.f64 x #s(literal 253/1000 binary64) #s(literal 0 binary64))
(* x (+ 253/1000 (* 3/25 x)))
(fma.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) #s(literal 0 binary64))
(* x (+ 253/1000 (* 3/25 x)))
(fma.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) #s(literal 0 binary64))
(* x (+ 253/1000 (* 3/25 x)))
(fma.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) #s(literal 0 binary64))
(* 3/25 (pow x 2))
(fma.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(fma.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) #s(literal 0 binary64))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(fma.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) #s(literal 0 binary64))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(fma.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) #s(literal 0 binary64))
(* 3/25 (pow x 2))
(fma.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(fma.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) #s(literal 0 binary64))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(fma.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) #s(literal 0 binary64))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(fma.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) #s(literal 0 binary64))
(* 3/25 x)
(fma.f64 x #s(literal 3/25 binary64) #s(literal 0 binary64))
(* 3/25 x)
(fma.f64 x #s(literal 3/25 binary64) #s(literal 0 binary64))
(* 3/25 x)
(fma.f64 x #s(literal 3/25 binary64) #s(literal 0 binary64))
(* 3/25 x)
(fma.f64 x #s(literal 3/25 binary64) #s(literal 0 binary64))
(* 3/25 x)
(fma.f64 x #s(literal 3/25 binary64) #s(literal 0 binary64))
(* 3/25 x)
(fma.f64 x #s(literal 3/25 binary64) #s(literal 0 binary64))
(* 3/25 x)
(fma.f64 x #s(literal 3/25 binary64) #s(literal 0 binary64))
(* 3/25 x)
(fma.f64 x #s(literal 3/25 binary64) #s(literal 0 binary64))
(* 3/25 x)
(fma.f64 x #s(literal 3/25 binary64) #s(literal 0 binary64))
(* 3/25 x)
(fma.f64 x #s(literal 3/25 binary64) #s(literal 0 binary64))
(* 3/25 x)
(fma.f64 x #s(literal 3/25 binary64) #s(literal 0 binary64))
(* 3/25 x)
(fma.f64 x #s(literal 3/25 binary64) #s(literal 0 binary64))

eval44.0ms (0.5%)

Memory: -18.1MiB live, 138.2MiB allocated
Compiler: Compiled 9 025 to 942 computations (89.6% saved)

prune49.0ms (0.6%)

Memory

-4.0MiB live, 162.6MiB allocated

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	356	9	365
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	357	9	366

Accuracy

100.0%

Counts

366 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(fma.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
	99.9%	(fma.f64 (*.f64 x x) #s(literal -3/25 binary64) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)))
	46.8%	(fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))
▶	99.8%	(-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))))
▶	90.9%	(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)) (.f64 x (fma.f64 (.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64))))))
	62.8%	(-.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 27/15625 binary64) #s(literal 16194277/1000000000 binary64)) (/.f64 x (fma.f64 x (-.f64 (.f64 x #s(literal 9/625 binary64)) #s(literal 759/25000 binary64)) #s(literal 64009/1000000 binary64)))))
	99.8%	(-.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64)) (/.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)))))
▶	99.9%	(-.f64 #s(literal 1 binary64) (.f64 x (/.f64 (fma.f64 (.f64 x x) #s(literal 9/625 binary64) #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)))))
▶	45.2%	#s(literal 1 binary64)

Compiler

Compiled 216 to 160 computations (25.9% saved)

simplify239.0ms (2.8%)

Memory

2.6MiB live, 309.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))
✓	cost-diff	0	(/.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)) (.f64 x (fma.f64 (.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64))))
✓	cost-diff	192	(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)) (.f64 x (fma.f64 (.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64))))))
✓	cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)) (.f64 x (fma.f64 (.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64)))))
✓	cost-diff	0	(fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))
✓	cost-diff	192	(-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))))
✓	cost-diff	1024	(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))))
✓	cost-diff	0	(fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))
✓	cost-diff	0	(fma.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
✓	cost-diff	0	(fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))
✓	cost-diff	0	(fma.f64 (*.f64 x x) #s(literal 9/625 binary64) #s(literal -64009/1000000 binary64))
✓	cost-diff	0	(/.f64 (fma.f64 (*.f64 x x) #s(literal 9/625 binary64) #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)))
✓	cost-diff	192	(-.f64 #s(literal 1 binary64) (.f64 x (/.f64 (fma.f64 (.f64 x x) #s(literal 9/625 binary64) #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)))))

Rules

3 360×	`accelerator-lowering-fma.f32`
3 360×	`accelerator-lowering-fma.f64`
1 792×	`-lowering-.f32`
1 792×	`-lowering-.f64`
1 314×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	196
1	76	194
2	188	194
3	587	194
4	1481	194
5	3303	194
6	4808	194
7	5695	194
8	6308	194
9	6687	194
10	6837	194
11	6891	194
12	7401	194
13	7820	194
0	8014	167

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(- 1 (* x (/ (+ (* (* x x) 9/625) -64009/1000000) (+ (* x 3/25) -253/1000))))
1
(* x (/ (+ (* (* x x) 9/625) -64009/1000000) (+ (* x 3/25) -253/1000)))
x
(/ (+ (* (* x x) 9/625) -64009/1000000) (+ (* x 3/25) -253/1000))
(+ (* (* x x) 9/625) -64009/1000000)
(* x x)
9/625
-64009/1000000
(+ (* x 3/25) -253/1000)
3/25
-253/1000
1
(+ (* (+ (* x -3/25) -253/1000) x) 1)
(+ (* x -3/25) -253/1000)
x
-3/25
-253/1000
1
(- 1 (/ x (/ 1 (+ (* x 3/25) 253/1000))))
1
(/ x (/ 1 (+ (* x 3/25) 253/1000)))
x
(/ 1 (+ (* x 3/25) 253/1000))
(+ (* x 3/25) 253/1000)
3/25
253/1000
(- 1 (/ 1 (/ (+ (* x -3/25) 253/1000) (* x (+ (* (* x x) -9/625) 64009/1000000)))))
1
(/ 1 (/ (+ (* x -3/25) 253/1000) (* x (+ (* (* x x) -9/625) 64009/1000000))))
(/ (+ (* x -3/25) 253/1000) (* x (+ (* (* x x) -9/625) 64009/1000000)))
(+ (* x -3/25) 253/1000)
x
-3/25
253/1000
(* x (+ (* (* x x) -9/625) 64009/1000000))
(+ (* (* x x) -9/625) 64009/1000000)
(* x x)
-9/625
64009/1000000

Outputs
(- 1 (* x (/ (+ (* (* x x) 9/625) -64009/1000000) (+ (* x 3/25) -253/1000))))
(fma.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64)) (/.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(* x (/ (+ (* (* x x) 9/625) -64009/1000000) (+ (* x 3/25) -253/1000)))
(/.f64 (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64)) #s(literal 0 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)))
x
(/ (+ (* (* x x) 9/625) -64009/1000000) (+ (* x 3/25) -253/1000))
(/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)))
(+ (* (* x x) 9/625) -64009/1000000)
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 9/625 binary64) #s(literal -64009/1000000 binary64))
(* x x)
(fma.f64 x x #s(literal 0 binary64))
9/625
#s(literal 9/625 binary64)
-64009/1000000
#s(literal -64009/1000000 binary64)
(+ (* x 3/25) -253/1000)
(fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))
3/25
#s(literal 3/25 binary64)
-253/1000
#s(literal -253/1000 binary64)
1
#s(literal 1 binary64)
(+ (* (+ (* x -3/25) -253/1000) x) 1)
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(+ (* x -3/25) -253/1000)
(fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))
x
-3/25
#s(literal -3/25 binary64)
-253/1000
#s(literal -253/1000 binary64)
1
#s(literal 1 binary64)
(- 1 (/ x (/ 1 (+ (* x 3/25) 253/1000))))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(/ x (/ 1 (+ (* x 3/25) 253/1000)))
(fma.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) #s(literal 0 binary64))
x
(/ 1 (+ (* x 3/25) 253/1000))
(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))
(+ (* x 3/25) 253/1000)
(fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))
3/25
#s(literal 3/25 binary64)
253/1000
#s(literal 253/1000 binary64)
(- 1 (/ 1 (/ (+ (* x -3/25) 253/1000) (* x (+ (* (* x x) -9/625) 64009/1000000)))))
(fma.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64)) (/.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(/ 1 (/ (+ (* x -3/25) 253/1000) (* x (+ (* (* x x) -9/625) 64009/1000000))))
(/.f64 (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64)) #s(literal 0 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)))
(/ (+ (* x -3/25) 253/1000) (* x (+ (* (* x x) -9/625) 64009/1000000)))
(/.f64 (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)) (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 9/625 binary64) #s(literal -64009/1000000 binary64)) #s(literal 0 binary64)))
(+ (* x -3/25) 253/1000)
(fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))
x
-3/25
#s(literal -3/25 binary64)
253/1000
#s(literal 253/1000 binary64)
(* x (+ (* (* x x) -9/625) 64009/1000000))
(fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64)) #s(literal 0 binary64))
(+ (* (* x x) -9/625) 64009/1000000)
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64))
(* x x)
(fma.f64 x x #s(literal 0 binary64))
-9/625
#s(literal -9/625 binary64)
64009/1000000
#s(literal 64009/1000000 binary64)

localize130.0ms (1.6%)

Memory

-10.5MiB live, 358.2MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.7%	(.f64 x (fma.f64 (.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64)))
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)) (.f64 x (fma.f64 (.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64)))))
✓	accuracy	99.2%	(fma.f64 (*.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64))
✓	accuracy	89.9%	(/.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)) (.f64 x (fma.f64 (.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64))))
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))))
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))
✓	accuracy	99.7%	(fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))
✓	accuracy	99.7%	(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))))
✓	accuracy	99.9%	(fma.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
✓	accuracy	99.7%	(fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))
✓	accuracy	99.9%	(.f64 x (/.f64 (fma.f64 (.f64 x x) #s(literal 9/625 binary64) #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))))
✓	accuracy	99.7%	(fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))
✓	accuracy	99.2%	(fma.f64 (*.f64 x x) #s(literal 9/625 binary64) #s(literal -64009/1000000 binary64))
✓	accuracy	74.1%	(/.f64 (fma.f64 (*.f64 x x) #s(literal 9/625 binary64) #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)))

Samples

90.0ms

256×

valid

Compiler

Compiled 180 to 35 computations (80.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 70.0ms

const: 27.0ms (38.6% of total)

ival-mult: 19.0ms (27.2% of total)

ival-add: 12.0ms (17.2% of total)

ival-div: 8.0ms (11.4% of total)

ival-sub: 3.0ms (4.3% of total)

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

exact: 0.0ms (0% of total)

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

series11.0ms (0.1%)

Memory

25.7MiB live, 25.7MiB allocated

Counts

17 → 204

Calls

Call 1

Inputs
#<alt (- 1 (* x (/ (+ (* (* x x) 9/625) -64009/1000000) (+ (* x 3/25) -253/1000))))>
#<alt (/ (+ (* (* x x) 9/625) -64009/1000000) (+ (* x 3/25) -253/1000))>
#<alt (+ (* (* x x) 9/625) -64009/1000000)>
#<alt (+ (* x 3/25) -253/1000)>
#<alt (+ (* (+ (* x -3/25) -253/1000) x) 1)>
#<alt (+ (* x -3/25) -253/1000)>
#<alt (/ x (/ 1 (+ (* x 3/25) 253/1000)))>
#<alt (- 1 (/ x (/ 1 (+ (* x 3/25) 253/1000))))>
#<alt (/ 1 (+ (* x 3/25) 253/1000))>
#<alt (+ (* x 3/25) 253/1000)>
#<alt (/ 1 (/ (+ (* x -3/25) 253/1000) (* x (+ (* (* x x) -9/625) 64009/1000000))))>
#<alt (- 1 (/ 1 (/ (+ (* x -3/25) 253/1000) (* x (+ (* (* x x) -9/625) 64009/1000000)))))>
#<alt (/ (+ (* x -3/25) 253/1000) (* x (+ (* (* x x) -9/625) 64009/1000000)))>
#<alt (+ (* x -3/25) 253/1000)>
#<alt (* x (/ (+ (* (* x x) 9/625) -64009/1000000) (+ (* x 3/25) -253/1000)))>
#<alt (+ (* (* x x) -9/625) 64009/1000000)>
#<alt (* x (+ (* (* x x) -9/625) 64009/1000000))>

Outputs
#<alt 1>
#<alt (+ 1 (* -253/1000 x))>
#<alt (+ 1 (* x (- (* -3/25 x) 253/1000)))>
#<alt (+ 1 (* x (- (* -3/25 x) 253/1000)))>
#<alt (* -3/25 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -3/25 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))>
#<alt (* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))>
#<alt 253/1000>
#<alt (+ 253/1000 (* 3/25 x))>
#<alt (+ 253/1000 (* 3/25 x))>
#<alt (+ 253/1000 (* 3/25 x))>
#<alt (* 3/25 x)>
#<alt (* x (+ 3/25 (* 253/1000 (/ 1 x))))>
#<alt (* x (+ 3/25 (* 253/1000 (/ 1 x))))>
#<alt (* x (+ 3/25 (* 253/1000 (/ 1 x))))>
#<alt (* 3/25 x)>
#<alt (* x (+ 3/25 (* 253/1000 (/ 1 x))))>
#<alt (* x (+ 3/25 (* 253/1000 (/ 1 x))))>
#<alt (* x (+ 3/25 (* 253/1000 (/ 1 x))))>
#<alt -64009/1000000>
#<alt (- (* 9/625 (pow x 2)) 64009/1000000)>
#<alt (- (* 9/625 (pow x 2)) 64009/1000000)>
#<alt (- (* 9/625 (pow x 2)) 64009/1000000)>
#<alt (* 9/625 (pow x 2))>
#<alt (* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))>
#<alt (* 9/625 (pow x 2))>
#<alt (* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))>
#<alt -253/1000>
#<alt (- (* 3/25 x) 253/1000)>
#<alt (- (* 3/25 x) 253/1000)>
#<alt (- (* 3/25 x) 253/1000)>
#<alt (* 3/25 x)>
#<alt (* x (- 3/25 (* 253/1000 (/ 1 x))))>
#<alt (* x (- 3/25 (* 253/1000 (/ 1 x))))>
#<alt (* x (- 3/25 (* 253/1000 (/ 1 x))))>
#<alt (* 3/25 x)>
#<alt (* -1 (* x (- (* 253/1000 (/ 1 x)) 3/25)))>
#<alt (* -1 (* x (- (* 253/1000 (/ 1 x)) 3/25)))>
#<alt (* -1 (* x (- (* 253/1000 (/ 1 x)) 3/25)))>
#<alt 1>
#<alt (+ 1 (* -253/1000 x))>
#<alt (+ 1 (* x (- (* -3/25 x) 253/1000)))>
#<alt (+ 1 (* x (- (* -3/25 x) 253/1000)))>
#<alt (* -3/25 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -3/25 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))>
#<alt (* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))>
#<alt -253/1000>
#<alt (- (* -3/25 x) 253/1000)>
#<alt (- (* -3/25 x) 253/1000)>
#<alt (- (* -3/25 x) 253/1000)>
#<alt (* -3/25 x)>
#<alt (* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -3/25 x)>
#<alt (* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* 253/1000 x)>
#<alt (* x (+ 253/1000 (* 3/25 x)))>
#<alt (* x (+ 253/1000 (* 3/25 x)))>
#<alt (* x (+ 253/1000 (* 3/25 x)))>
#<alt (* 3/25 (pow x 2))>
#<alt (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))>
#<alt (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))>
#<alt (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))>
#<alt (* 3/25 (pow x 2))>
#<alt (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))>
#<alt (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))>
#<alt (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))>
#<alt 1>
#<alt (+ 1 (* -253/1000 x))>
#<alt (+ 1 (* x (- (* -3/25 x) 253/1000)))>
#<alt (+ 1 (* x (- (* -3/25 x) 253/1000)))>
#<alt (* -3/25 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -3/25 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))>
#<alt (* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))>
#<alt 1000/253>
#<alt (+ 1000/253 (* -120000/64009 x))>
#<alt (+ 1000/253 (* x (- (* 14400000/16194277 x) 120000/64009)))>
#<alt (+ 1000/253 (* x (- (* x (+ 14400000/16194277 (* -1728000000/4097152081 x))) 120000/64009)))>
#<alt (/ 25/3 x)>
#<alt (/ (- 25/3 (* 1265/72 (/ 1 x))) x)>
#<alt (/ (- (+ 25/3 (/ 64009/1728 (pow x 2))) (* 1265/72 (/ 1 x))) x)>
#<alt (/ (- (+ 25/3 (/ 64009/1728 (pow x 2))) (+ (* 1265/72 (/ 1 x)) (* 16194277/207360 (/ 1 (pow x 3))))) x)>
#<alt (/ 25/3 x)>
#<alt (* -1 (/ (- (* 1265/72 (/ 1 x)) 25/3) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 64009/1728 (/ 1 x)) 1265/72) x)) 25/3) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16194277/207360 (/ 1 x)) 64009/1728) x)) 1265/72) x)) 25/3) x))>
#<alt 253/1000>
#<alt (+ 253/1000 (* 3/25 x))>
#<alt (+ 253/1000 (* 3/25 x))>
#<alt (+ 253/1000 (* 3/25 x))>
#<alt (* 3/25 x)>
#<alt (* x (+ 3/25 (* 253/1000 (/ 1 x))))>
#<alt (* x (+ 3/25 (* 253/1000 (/ 1 x))))>
#<alt (* x (+ 3/25 (* 253/1000 (/ 1 x))))>
#<alt (* 3/25 x)>
#<alt (* x (+ 3/25 (* 253/1000 (/ 1 x))))>
#<alt (* x (+ 3/25 (* 253/1000 (/ 1 x))))>
#<alt (* x (+ 3/25 (* 253/1000 (/ 1 x))))>
#<alt (* 253/1000 x)>
#<alt (* x (+ 253/1000 (* 3/25 x)))>
#<alt (* x (+ 253/1000 (* 3/25 x)))>
#<alt (* x (+ 253/1000 (* 3/25 x)))>
#<alt (* 3/25 (pow x 2))>
#<alt (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))>
#<alt (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))>
#<alt (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))>
#<alt (* 3/25 (pow x 2))>
#<alt (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))>
#<alt (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))>
#<alt (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))>
#<alt 1>
#<alt (+ 1 (* -253/1000 x))>
#<alt (+ 1 (* x (- (* -3/25 x) 253/1000)))>
#<alt (+ 1 (* x (- (* -3/25 x) 253/1000)))>
#<alt (* -3/25 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -3/25 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))>
#<alt (* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))>
#<alt (/ 1000/253 x)>
#<alt (/ (+ 1000/253 (* -120000/64009 x)) x)>
#<alt (/ (+ 1000/253 (* x (- (* 14400000/16194277 x) 120000/64009))) x)>
#<alt (/ (+ 1000/253 (* x (- (* x (+ 14400000/16194277 (* -1728000000/4097152081 x))) 120000/64009))) x)>
#<alt (/ 25/3 (pow x 2))>
#<alt (/ (- 25/3 (* 1265/72 (/ 1 x))) (pow x 2))>
#<alt (/ (- (+ 25/3 (/ 64009/1728 (pow x 2))) (* 1265/72 (/ 1 x))) (pow x 2))>
#<alt (/ (- (+ 25/3 (/ 64009/1728 (pow x 2))) (+ (* 1265/72 (/ 1 x)) (* 16194277/207360 (/ 1 (pow x 3))))) (pow x 2))>
#<alt (/ 25/3 (pow x 2))>
#<alt (/ (- 25/3 (* 1265/72 (/ 1 x))) (pow x 2))>
#<alt (/ (+ 25/3 (* -1 (/ (- 1265/72 (* 64009/1728 (/ 1 x))) x))) (pow x 2))>
#<alt (/ (+ 25/3 (* -1 (/ (+ 1265/72 (* -1 (/ (- 64009/1728 (* 16194277/207360 (/ 1 x))) x))) x))) (pow x 2))>
#<alt 253/1000>
#<alt (+ 253/1000 (* -3/25 x))>
#<alt (+ 253/1000 (* -3/25 x))>
#<alt (+ 253/1000 (* -3/25 x))>
#<alt (* -3/25 x)>
#<alt (* x (- (* 253/1000 (/ 1 x)) 3/25))>
#<alt (* x (- (* 253/1000 (/ 1 x)) 3/25))>
#<alt (* x (- (* 253/1000 (/ 1 x)) 3/25))>
#<alt (* -3/25 x)>
#<alt (* -1 (* x (- 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -1 (* x (- 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -1 (* x (- 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* 253/1000 x)>
#<alt (* x (+ 253/1000 (* 3/25 x)))>
#<alt (* x (+ 253/1000 (* 3/25 x)))>
#<alt (* x (+ 253/1000 (* 3/25 x)))>
#<alt (* 3/25 (pow x 2))>
#<alt (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))>
#<alt (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))>
#<alt (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))>
#<alt (* 3/25 (pow x 2))>
#<alt (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))>
#<alt (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))>
#<alt (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))>
#<alt 64009/1000000>
#<alt (+ 64009/1000000 (* -9/625 (pow x 2)))>
#<alt (+ 64009/1000000 (* -9/625 (pow x 2)))>
#<alt (+ 64009/1000000 (* -9/625 (pow x 2)))>
#<alt (* -9/625 (pow x 2))>
#<alt (* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))>
#<alt (* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))>
#<alt (* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))>
#<alt (* -9/625 (pow x 2))>
#<alt (* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))>
#<alt (* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))>
#<alt (* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))>
#<alt (* 64009/1000000 x)>
#<alt (* x (+ 64009/1000000 (* -9/625 (pow x 2))))>
#<alt (* x (+ 64009/1000000 (* -9/625 (pow x 2))))>
#<alt (* x (+ 64009/1000000 (* -9/625 (pow x 2))))>
#<alt (* -9/625 (pow x 3))>
#<alt (* (pow x 3) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))>
#<alt (* (pow x 3) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))>
#<alt (* (pow x 3) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))>
#<alt (* -9/625 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2))))))>

Calls

51 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(- 1 (* x (/ (+ (* (* x x) 9/625) -64009/1000000) (+ (* x 3/25) -253/1000))))
1.0ms	x	@	-inf	(/ 1 (+ (* x 3/25) 253/1000))
1.0ms	x	@	0	(/ 1 (/ (+ (* x -3/25) 253/1000) (* x (+ (* (* x x) -9/625) 64009/1000000))))
0.0ms	x	@	-inf	(- 1 (* x (/ (+ (* (* x x) 9/625) -64009/1000000) (+ (* x 3/25) -253/1000))))
0.0ms	x	@	inf	(/ 1 (/ (+ (* x -3/25) 253/1000) (* x (+ (* (* x x) -9/625) 64009/1000000))))

rewrite344.0ms (4.1%)

Memory

4.7MiB live, 560.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 418×	`-lowering-.f32`
4 418×	`-lowering-.f64`
4 388×	`/-lowering-/.f32`
4 388×	`/-lowering-/.f64`
3 488×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	183
1	222	143
2	2067	143
0	8436	122

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 750

Calls

Call 1

Inputs
(- 1 (* x (/ (+ (* (* x x) 9/625) -64009/1000000) (+ (* x 3/25) -253/1000))))
(/ (+ (* (* x x) 9/625) -64009/1000000) (+ (* x 3/25) -253/1000))
(+ (* (* x x) 9/625) -64009/1000000)
(+ (* x 3/25) -253/1000)
(+ (* (+ (* x -3/25) -253/1000) x) 1)
(+ (* x -3/25) -253/1000)
(/ x (/ 1 (+ (* x 3/25) 253/1000)))
(- 1 (/ x (/ 1 (+ (* x 3/25) 253/1000))))
(/ 1 (+ (* x 3/25) 253/1000))
(+ (* x 3/25) 253/1000)
(/ 1 (/ (+ (* x -3/25) 253/1000) (* x (+ (* (* x x) -9/625) 64009/1000000))))
(- 1 (/ 1 (/ (+ (* x -3/25) 253/1000) (* x (+ (* (* x x) -9/625) 64009/1000000)))))
(/ (+ (* x -3/25) 253/1000) (* x (+ (* (* x x) -9/625) 64009/1000000)))
(+ (* x -3/25) 253/1000)
(* x (/ (+ (* (* x x) 9/625) -64009/1000000) (+ (* x 3/25) -253/1000)))
(+ (* (* x x) -9/625) 64009/1000000)
(* x (+ (* (* x x) -9/625) 64009/1000000))

Outputs
(+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 0 binary64) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))))
(+.f64 (*.f64 x (-.f64 #s(literal 0 binary64) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))) (fma.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) (.f64 (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))))) (fma.f64 (*.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))) (fma.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) #s(literal 1 binary64))) (/.f64 (.f64 x (.f64 (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) (*.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))))) (fma.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x (-.f64 #s(literal 0 binary64) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))))) (/.f64 (.f64 x (.f64 (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) (.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 0 binary64) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))))))
(fma.f64 x (-.f64 #s(literal 0 binary64) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))) #s(literal 1 binary64))
(fma.f64 (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))) #s(literal 1 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))) x #s(literal 1 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) x) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 (-.f64 #s(literal 0 binary64) x) (fma.f64 (.f64 x x) #s(literal 9/625 binary64) #s(literal -64009/1000000 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))) (fma.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) (.f64 (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) (*.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))) (fma.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) (.f64 (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) (*.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) (.f64 (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))))) (fma.f64 (.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))) (fma.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) (.f64 (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 x (.f64 (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) (.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))))) (.f64 #s(literal 1 binary64) (.f64 x (-.f64 #s(literal 0 binary64) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) (*.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))))) (fma.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) (.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))))) (-.f64 #s(literal 1 binary64) (.f64 x (-.f64 #s(literal 0 binary64) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) (.f64 (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))))))) (neg.f64 (fma.f64 (.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))) (fma.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) (.f64 (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))))))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 x (.f64 (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) (.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))))) (.f64 #s(literal 1 binary64) (.f64 x (-.f64 #s(literal 0 binary64) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) (*.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))))))) (neg.f64 (fma.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) (.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))))))) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x (-.f64 #s(literal 0 binary64) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))) (fma.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 (.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))) (fma.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) (.f64 (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))))))) (.f64 (fma.f64 (.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))) (fma.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))) (fma.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) #s(literal 1 binary64)) (.f64 x (.f64 (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) (.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))))))) (.f64 (fma.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) (.f64 (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))))))) (neg.f64 (neg.f64 (fma.f64 (.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))) (fma.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) (*.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))))))) (neg.f64 (neg.f64 (fma.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) #s(literal 1 binary64)))))
(pow.f64 (/.f64 (fma.f64 (.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))) (fma.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) (.f64 (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) (*.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))))))) #s(literal -1 binary64))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) (.f64 (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))) (fma.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) (.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) #s(literal 1 binary64))))
(+.f64 (*.f64 x #s(literal 3/25 binary64)) #s(literal 253/1000 binary64))
(+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))) #s(literal -1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (neg.f64 (*.f64 (log.f64 (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))) #s(literal -1 binary64))))
(-.f64 (*.f64 x #s(literal 3/25 binary64)) #s(literal -253/1000 binary64))
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) #s(literal -1 binary64)))
(-.f64 (/.f64 (.f64 (.f64 x x) #s(literal 9/625 binary64)) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))) (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))))
(-.f64 (/.f64 (*.f64 x #s(literal 3/25 binary64)) #s(literal 1 binary64)) #s(literal -253/1000 binary64))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 x x) #s(literal 9/625 binary64)) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)))) (-.f64 #s(literal 0 binary64) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 81/390625 binary64)) (fma.f64 x (.f64 x #s(literal 9/625 binary64)) #s(literal 64009/1000000 binary64))) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))) (/.f64 (/.f64 #s(literal 4097152081/1000000000000 binary64) (fma.f64 x (.f64 x #s(literal 9/625 binary64)) #s(literal 64009/1000000 binary64))) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))))
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(/.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 729/244140625 binary64))) (.f64 x (.f64 x x)) (.f64 #s(literal 262254607552729/1000000000000000000 binary64) (.f64 x (.f64 x x)))) (fma.f64 (.f64 x (.f64 (.f64 x x) #s(literal -9/625 binary64))) (.f64 x (.f64 (.f64 x x) #s(literal -9/625 binary64))) (-.f64 (.f64 (.f64 x #s(literal 64009/1000000 binary64)) (.f64 x #s(literal 64009/1000000 binary64))) (.f64 (.f64 x (.f64 (.f64 x x) #s(literal -9/625 binary64))) (*.f64 x #s(literal 64009/1000000 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 (.f64 x x) #s(literal -9/625 binary64))) (.f64 x (.f64 (.f64 x x) #s(literal -9/625 binary64)))) (.f64 (.f64 x #s(literal 64009/1000000 binary64)) (.f64 x #s(literal 64009/1000000 binary64)))) (-.f64 (.f64 x (.f64 (.f64 x x) #s(literal -9/625 binary64))) (.f64 x #s(literal 64009/1000000 binary64))))
(/.f64 (.f64 x (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 729/244140625 binary64)) #s(literal 262254607552729/1000000000000000000 binary64))) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 81/390625 binary64) (-.f64 #s(literal 4097152081/1000000000000 binary64) (.f64 (*.f64 x x) #s(literal -576081/625000000 binary64)))))
(/.f64 (.f64 x (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 81/390625 binary64) #s(literal -4097152081/1000000000000 binary64))) (fma.f64 x (*.f64 x #s(literal -9/625 binary64)) #s(literal -64009/1000000 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 729/244140625 binary64)) #s(literal 262254607552729/1000000000000000000 binary64)) x) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 81/390625 binary64) (-.f64 #s(literal 4097152081/1000000000000 binary64) (.f64 (*.f64 x x) #s(literal -576081/625000000 binary64)))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 81/390625 binary64) #s(literal -4097152081/1000000000000 binary64)) x) (fma.f64 x (*.f64 x #s(literal -9/625 binary64)) #s(literal -64009/1000000 binary64)))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 729/244140625 binary64))) (.f64 x (.f64 x x)) (.f64 #s(literal 262254607552729/1000000000000000000 binary64) (.f64 x (.f64 x x))))) (neg.f64 (fma.f64 (.f64 x (.f64 (.f64 x x) #s(literal -9/625 binary64))) (.f64 x (.f64 (.f64 x x) #s(literal -9/625 binary64))) (-.f64 (.f64 (.f64 x #s(literal 64009/1000000 binary64)) (.f64 x #s(literal 64009/1000000 binary64))) (.f64 (.f64 x (.f64 (.f64 x x) #s(literal -9/625 binary64))) (*.f64 x #s(literal 64009/1000000 binary64)))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 x (.f64 (.f64 x x) #s(literal -9/625 binary64))) (.f64 x (.f64 (.f64 x x) #s(literal -9/625 binary64)))) (.f64 (.f64 x #s(literal 64009/1000000 binary64)) (.f64 x #s(literal 64009/1000000 binary64))))) (neg.f64 (-.f64 (.f64 x (.f64 (.f64 x x) #s(literal -9/625 binary64))) (.f64 x #s(literal 64009/1000000 binary64)))))
(/.f64 (neg.f64 (.f64 x (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 729/244140625 binary64)) #s(literal 262254607552729/1000000000000000000 binary64)))) (neg.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 81/390625 binary64) (-.f64 #s(literal 4097152081/1000000000000 binary64) (.f64 (*.f64 x x) #s(literal -576081/625000000 binary64))))))
(/.f64 (neg.f64 (.f64 x (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 81/390625 binary64) #s(literal -4097152081/1000000000000 binary64)))) (neg.f64 (fma.f64 x (*.f64 x #s(literal -9/625 binary64)) #s(literal -64009/1000000 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 729/244140625 binary64)) #s(literal 262254607552729/1000000000000000000 binary64)) x)) (neg.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 81/390625 binary64) (-.f64 #s(literal 4097152081/1000000000000 binary64) (.f64 (*.f64 x x) #s(literal -576081/625000000 binary64))))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 81/390625 binary64) #s(literal -4097152081/1000000000000 binary64)) x)) (neg.f64 (fma.f64 x (*.f64 x #s(literal -9/625 binary64)) #s(literal -64009/1000000 binary64))))
(.f64 x (fma.f64 (.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64)))
(.f64 (fma.f64 (.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64)) x)

simplify303.0ms (3.6%)

Memory

8.8MiB live, 518.6MiB allocated

Algorithm

1×	egg-herbie

Rules

10 052×	`accelerator-lowering-fma.f32`
10 052×	`accelerator-lowering-fma.f64`
3 438×	`-lowering-.f32`
3 438×	`-lowering-.f64`
1 630×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	140	1338
1	384	1314
2	944	1290
3	2263	1290
4	5328	1290
0	8132	1119

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 204

Calls

Call 1

Inputs
1
(+ 1 (* -253/1000 x))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
253/1000
(+ 253/1000 (* 3/25 x))
(+ 253/1000 (* 3/25 x))
(+ 253/1000 (* 3/25 x))
(* 3/25 x)
(* x (+ 3/25 (* 253/1000 (/ 1 x))))
(* x (+ 3/25 (* 253/1000 (/ 1 x))))
(* x (+ 3/25 (* 253/1000 (/ 1 x))))
(* 3/25 x)
(* x (+ 3/25 (* 253/1000 (/ 1 x))))
(* x (+ 3/25 (* 253/1000 (/ 1 x))))
(* x (+ 3/25 (* 253/1000 (/ 1 x))))
-64009/1000000
(- (* 9/625 (pow x 2)) 64009/1000000)
(- (* 9/625 (pow x 2)) 64009/1000000)
(- (* 9/625 (pow x 2)) 64009/1000000)
(* 9/625 (pow x 2))
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))
(* 9/625 (pow x 2))
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))
-253/1000
(- (* 3/25 x) 253/1000)
(- (* 3/25 x) 253/1000)
(- (* 3/25 x) 253/1000)
(* 3/25 x)
(* x (- 3/25 (* 253/1000 (/ 1 x))))
(* x (- 3/25 (* 253/1000 (/ 1 x))))
(* x (- 3/25 (* 253/1000 (/ 1 x))))
(* 3/25 x)
(* -1 (* x (- (* 253/1000 (/ 1 x)) 3/25)))
(* -1 (* x (- (* 253/1000 (/ 1 x)) 3/25)))
(* -1 (* x (- (* 253/1000 (/ 1 x)) 3/25)))
1
(+ 1 (* -253/1000 x))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
-253/1000
(- (* -3/25 x) 253/1000)
(- (* -3/25 x) 253/1000)
(- (* -3/25 x) 253/1000)
(* -3/25 x)
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -3/25 x)
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(* 253/1000 x)
(* x (+ 253/1000 (* 3/25 x)))
(* x (+ 253/1000 (* 3/25 x)))
(* x (+ 253/1000 (* 3/25 x)))
(* 3/25 (pow x 2))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(* 3/25 (pow x 2))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
1
(+ 1 (* -253/1000 x))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
1000/253
(+ 1000/253 (* -120000/64009 x))
(+ 1000/253 (* x (- (* 14400000/16194277 x) 120000/64009)))
(+ 1000/253 (* x (- (* x (+ 14400000/16194277 (* -1728000000/4097152081 x))) 120000/64009)))
(/ 25/3 x)
(/ (- 25/3 (* 1265/72 (/ 1 x))) x)
(/ (- (+ 25/3 (/ 64009/1728 (pow x 2))) (* 1265/72 (/ 1 x))) x)
(/ (- (+ 25/3 (/ 64009/1728 (pow x 2))) (+ (* 1265/72 (/ 1 x)) (* 16194277/207360 (/ 1 (pow x 3))))) x)
(/ 25/3 x)
(* -1 (/ (- (* 1265/72 (/ 1 x)) 25/3) x))
(* -1 (/ (- (* -1 (/ (- (* 64009/1728 (/ 1 x)) 1265/72) x)) 25/3) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16194277/207360 (/ 1 x)) 64009/1728) x)) 1265/72) x)) 25/3) x))
253/1000
(+ 253/1000 (* 3/25 x))
(+ 253/1000 (* 3/25 x))
(+ 253/1000 (* 3/25 x))
(* 3/25 x)
(* x (+ 3/25 (* 253/1000 (/ 1 x))))
(* x (+ 3/25 (* 253/1000 (/ 1 x))))
(* x (+ 3/25 (* 253/1000 (/ 1 x))))
(* 3/25 x)
(* x (+ 3/25 (* 253/1000 (/ 1 x))))
(* x (+ 3/25 (* 253/1000 (/ 1 x))))
(* x (+ 3/25 (* 253/1000 (/ 1 x))))
(* 253/1000 x)
(* x (+ 253/1000 (* 3/25 x)))
(* x (+ 253/1000 (* 3/25 x)))
(* x (+ 253/1000 (* 3/25 x)))
(* 3/25 (pow x 2))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(* 3/25 (pow x 2))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
1
(+ 1 (* -253/1000 x))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(/ 1000/253 x)
(/ (+ 1000/253 (* -120000/64009 x)) x)
(/ (+ 1000/253 (* x (- (* 14400000/16194277 x) 120000/64009))) x)
(/ (+ 1000/253 (* x (- (* x (+ 14400000/16194277 (* -1728000000/4097152081 x))) 120000/64009))) x)
(/ 25/3 (pow x 2))
(/ (- 25/3 (* 1265/72 (/ 1 x))) (pow x 2))
(/ (- (+ 25/3 (/ 64009/1728 (pow x 2))) (* 1265/72 (/ 1 x))) (pow x 2))
(/ (- (+ 25/3 (/ 64009/1728 (pow x 2))) (+ (* 1265/72 (/ 1 x)) (* 16194277/207360 (/ 1 (pow x 3))))) (pow x 2))
(/ 25/3 (pow x 2))
(/ (- 25/3 (* 1265/72 (/ 1 x))) (pow x 2))
(/ (+ 25/3 (* -1 (/ (- 1265/72 (* 64009/1728 (/ 1 x))) x))) (pow x 2))
(/ (+ 25/3 (* -1 (/ (+ 1265/72 (* -1 (/ (- 64009/1728 (* 16194277/207360 (/ 1 x))) x))) x))) (pow x 2))
253/1000
(+ 253/1000 (* -3/25 x))
(+ 253/1000 (* -3/25 x))
(+ 253/1000 (* -3/25 x))
(* -3/25 x)
(* x (- (* 253/1000 (/ 1 x)) 3/25))
(* x (- (* 253/1000 (/ 1 x)) 3/25))
(* x (- (* 253/1000 (/ 1 x)) 3/25))
(* -3/25 x)
(* -1 (* x (- 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* x (- 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* x (- 3/25 (* 253/1000 (/ 1 x)))))
(* 253/1000 x)
(* x (+ 253/1000 (* 3/25 x)))
(* x (+ 253/1000 (* 3/25 x)))
(* x (+ 253/1000 (* 3/25 x)))
(* 3/25 (pow x 2))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(* 3/25 (pow x 2))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
64009/1000000
(+ 64009/1000000 (* -9/625 (pow x 2)))
(+ 64009/1000000 (* -9/625 (pow x 2)))
(+ 64009/1000000 (* -9/625 (pow x 2)))
(* -9/625 (pow x 2))
(* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))
(* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))
(* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))
(* -9/625 (pow x 2))
(* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))
(* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))
(* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))
(* 64009/1000000 x)
(* x (+ 64009/1000000 (* -9/625 (pow x 2))))
(* x (+ 64009/1000000 (* -9/625 (pow x 2))))
(* x (+ 64009/1000000 (* -9/625 (pow x 2))))
(* -9/625 (pow x 3))
(* (pow x 3) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))
(* (pow x 3) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))
(* (pow x 3) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))
(* -9/625 (pow x 3))
(* -1 (* (pow x 3) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2))))))

Outputs
1
#s(literal 1 binary64)
(+ 1 (* -253/1000 x))
(fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(* -3/25 (pow x 2))
(fma.f64 x (*.f64 x #s(literal -3/25 binary64)) #s(literal 0 binary64))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 0 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(* -3/25 (pow x 2))
(fma.f64 x (*.f64 x #s(literal -3/25 binary64)) #s(literal 0 binary64))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 0 binary64))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
253/1000
#s(literal 253/1000 binary64)
(+ 253/1000 (* 3/25 x))
(fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))
(+ 253/1000 (* 3/25 x))
(fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))
(+ 253/1000 (* 3/25 x))
(fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))
(* 3/25 x)
(*.f64 x #s(literal 3/25 binary64))
(* x (+ 3/25 (* 253/1000 (/ 1 x))))
(fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))
(* x (+ 3/25 (* 253/1000 (/ 1 x))))
(fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))
(* x (+ 3/25 (* 253/1000 (/ 1 x))))
(fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))
(* 3/25 x)
(*.f64 x #s(literal 3/25 binary64))
(* x (+ 3/25 (* 253/1000 (/ 1 x))))
(fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))
(* x (+ 3/25 (* 253/1000 (/ 1 x))))
(fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))
(* x (+ 3/25 (* 253/1000 (/ 1 x))))
(fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))
-64009/1000000
#s(literal -64009/1000000 binary64)
(- (* 9/625 (pow x 2)) 64009/1000000)
(fma.f64 (*.f64 x x) #s(literal 9/625 binary64) #s(literal -64009/1000000 binary64))
(- (* 9/625 (pow x 2)) 64009/1000000)
(fma.f64 (*.f64 x x) #s(literal 9/625 binary64) #s(literal -64009/1000000 binary64))
(- (* 9/625 (pow x 2)) 64009/1000000)
(fma.f64 (*.f64 x x) #s(literal 9/625 binary64) #s(literal -64009/1000000 binary64))
(* 9/625 (pow x 2))
(.f64 (.f64 x x) #s(literal 9/625 binary64))
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 9/625 binary64) #s(literal -64009/1000000 binary64))
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 9/625 binary64) #s(literal -64009/1000000 binary64))
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 9/625 binary64) #s(literal -64009/1000000 binary64))
(* 9/625 (pow x 2))
(.f64 (.f64 x x) #s(literal 9/625 binary64))
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 9/625 binary64) #s(literal -64009/1000000 binary64))
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 9/625 binary64) #s(literal -64009/1000000 binary64))
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 9/625 binary64) #s(literal -64009/1000000 binary64))
-253/1000
#s(literal -253/1000 binary64)
(- (* 3/25 x) 253/1000)
(fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))
(- (* 3/25 x) 253/1000)
(fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))
(- (* 3/25 x) 253/1000)
(fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))
(* 3/25 x)
(*.f64 x #s(literal 3/25 binary64))
(* x (- 3/25 (* 253/1000 (/ 1 x))))
(fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))
(* x (- 3/25 (* 253/1000 (/ 1 x))))
(fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))
(* x (- 3/25 (* 253/1000 (/ 1 x))))
(fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))
(* 3/25 x)
(*.f64 x #s(literal 3/25 binary64))
(* -1 (* x (- (* 253/1000 (/ 1 x)) 3/25)))
(fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))
(* -1 (* x (- (* 253/1000 (/ 1 x)) 3/25)))
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(.f64 x (.f64 (*.f64 x x) #s(literal -9/625 binary64)))
(* (pow x 3) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))
(fma.f64 x (fma.f64 (*.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64)) #s(literal 0 binary64))
(* (pow x 3) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))
(fma.f64 x (fma.f64 (*.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64)) #s(literal 0 binary64))
(* (pow x 3) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))
(fma.f64 x (fma.f64 (*.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64)) #s(literal 0 binary64))
(* -9/625 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal -9/625 binary64)))
(* -1 (* (pow x 3) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2))))))
(fma.f64 x (fma.f64 (*.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64)) #s(literal 0 binary64))
(* -1 (* (pow x 3) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2))))))
(fma.f64 x (fma.f64 (*.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64)) #s(literal 0 binary64))
(* -1 (* (pow x 3) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2))))))
(fma.f64 x (fma.f64 (*.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64)) #s(literal 0 binary64))

eval117.0ms (1.4%)

Memory: 6.9MiB live, 205.1MiB allocated
Compiler: Compiled 21 201 to 2 531 computations (88.1% saved)

prune123.0ms (1.5%)

Memory

-20.4MiB live, 180.5MiB allocated

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	947	7	954
Fresh	2	2	4
Picked	3	2	5
Done	0	0	0
Total	952	11	963

Accuracy

100.0%

Counts

963 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
▶	99.9%	(fma.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 9/625 binary64) #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) x #s(literal 1 binary64))
▶	99.9%	(fma.f64 (*.f64 x x) #s(literal -3/25 binary64) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)))
	98.5%	(fma.f64 (*.f64 x #s(literal -3/25 binary64)) x #s(literal 1 binary64))
▶	46.8%	(fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64))
	98.4%	(-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 25/3 binary64) x)))
	90.0%	(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)) (.f64 x (.f64 (*.f64 x x) #s(literal -9/625 binary64))))))
▶	98.4%	(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 25/3 binary64) (*.f64 x x))))
▶	99.8%	(-.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64)) (/.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)))))
	99.8%	(-.f64 #s(literal 1 binary64) (.f64 x (/.f64 (fma.f64 (.f64 x #s(literal 9/625 binary64)) x #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)))))
✓	45.2%	#s(literal 1 binary64)

Compiler

Compiled 218 to 160 computations (26.6% saved)

simplify355.0ms (4.2%)

Memory

-10.0MiB live, 184.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))
✓	cost-diff	0	(/.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)))
✓	cost-diff	0	(fma.f64 (*.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64))
✓	cost-diff	192	(-.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64)) (/.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)))))
✓	cost-diff	-64	(*.f64 x x)
✓	cost-diff	0	(/.f64 #s(literal 25/3 binary64) (*.f64 x x))
✓	cost-diff	192	(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 25/3 binary64) (*.f64 x x))))
✓	cost-diff	1024	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 25/3 binary64) (*.f64 x x)))
✓	cost-diff	-64	(*.f64 x x)
✓	cost-diff	0	(fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64))
✓	cost-diff	384	(fma.f64 (*.f64 x x) #s(literal -3/25 binary64) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)))
✓	cost-diff	0	(fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64))
✓	cost-diff	0	(fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))
✓	cost-diff	0	(fma.f64 (*.f64 x x) #s(literal 9/625 binary64) #s(literal -64009/1000000 binary64))
✓	cost-diff	0	(/.f64 (fma.f64 (*.f64 x x) #s(literal 9/625 binary64) #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)))
✓	cost-diff	0	(fma.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 9/625 binary64) #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) x #s(literal 1 binary64))

Rules

3 408×	`accelerator-lowering-fma.f32`
3 408×	`accelerator-lowering-fma.f64`
1 864×	`-lowering-.f32`
1 864×	`-lowering-.f64`
1 514×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	165
1	68	163
2	133	163
3	344	163
4	815	163
5	1405	163
6	2023	163
7	2944	163
8	3368	163
9	3511	163
10	3601	163
11	3727	163
12	3899	163
13	4259	163
14	5401	163
15	6402	163
16	6487	163
17	6551	163
18	6793	163
19	7351	163
20	7463	163
21	7614	163
22	7688	163
0	8085	143

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(+ (* (/ (+ (* (* x x) 9/625) -64009/1000000) (+ (* x -3/25) 253/1000)) x) 1)
(/ (+ (* (* x x) 9/625) -64009/1000000) (+ (* x -3/25) 253/1000))
(+ (* (* x x) 9/625) -64009/1000000)
(* x x)
x
9/625
-64009/1000000
(+ (* x -3/25) 253/1000)
-3/25
253/1000
1
(+ (* x -253/1000) 1)
x
-253/1000
1
(+ (* (* x x) -3/25) (+ (* x -253/1000) 1))
(* x x)
x
-3/25
(+ (* x -253/1000) 1)
-253/1000
1
(- 1 (/ 1 (/ 25/3 (* x x))))
1
(/ 1 (/ 25/3 (* x x)))
(/ 25/3 (* x x))
25/3
(* x x)
x
(- 1 (* (+ (* (* x x) -9/625) 64009/1000000) (/ x (+ (* x -3/25) 253/1000))))
1
(* (+ (* (* x x) -9/625) 64009/1000000) (/ x (+ (* x -3/25) 253/1000)))
(+ (* (* x x) -9/625) 64009/1000000)
(* x x)
x
-9/625
64009/1000000
(/ x (+ (* x -3/25) 253/1000))
(+ (* x -3/25) 253/1000)
-3/25
253/1000

Outputs
(+ (* (/ (+ (* (* x x) 9/625) -64009/1000000) (+ (* x -3/25) 253/1000)) x) 1)
(fma.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64)) (/.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))) #s(literal 1 binary64))
(/ (+ (* (* x x) 9/625) -64009/1000000) (+ (* x -3/25) 253/1000))
(/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64)) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)))
(+ (* (* x x) 9/625) -64009/1000000)
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 9/625 binary64) #s(literal -64009/1000000 binary64))
(* x x)
(fma.f64 x x #s(literal 0 binary64))
x
9/625
#s(literal 9/625 binary64)
-64009/1000000
#s(literal -64009/1000000 binary64)
(+ (* x -3/25) 253/1000)
(fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))
-3/25
#s(literal -3/25 binary64)
253/1000
#s(literal 253/1000 binary64)
1
#s(literal 1 binary64)
(+ (* x -253/1000) 1)
(fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64))
x
-253/1000
#s(literal -253/1000 binary64)
1
#s(literal 1 binary64)
(+ (* (* x x) -3/25) (+ (* x -253/1000) 1))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(* x x)
(fma.f64 x x #s(literal 0 binary64))
x
-3/25
#s(literal -3/25 binary64)
(+ (* x -253/1000) 1)
(fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64))
-253/1000
#s(literal -253/1000 binary64)
1
#s(literal 1 binary64)
(- 1 (/ 1 (/ 25/3 (* x x))))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 0 binary64)) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(/ 1 (/ 25/3 (* x x)))
(fma.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(/ 25/3 (* x x))
(/.f64 #s(literal 25/3 binary64) (fma.f64 x x #s(literal 0 binary64)))
25/3
#s(literal 25/3 binary64)
(* x x)
(fma.f64 x x #s(literal 0 binary64))
x
(- 1 (* (+ (* (* x x) -9/625) 64009/1000000) (/ x (+ (* x -3/25) 253/1000))))
(fma.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64)) (/.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(* (+ (* (* x x) -9/625) 64009/1000000) (/ x (+ (* x -3/25) 253/1000)))
(fma.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64)) (/.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) #s(literal 0 binary64))
(+ (* (* x x) -9/625) 64009/1000000)
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64))
(* x x)
(fma.f64 x x #s(literal 0 binary64))
x
-9/625
#s(literal -9/625 binary64)
64009/1000000
#s(literal 64009/1000000 binary64)
(/ x (+ (* x -3/25) 253/1000))
(/.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)))
(+ (* x -3/25) 253/1000)
(fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))
-3/25
#s(literal -3/25 binary64)
253/1000
#s(literal 253/1000 binary64)

localize155.0ms (1.9%)

Memory

-1.0MiB live, 123.9MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.7%	(fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))
✓	accuracy	99.7%	(/.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)))
✓	accuracy	99.5%	(.f64 (fma.f64 (.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64)) (/.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))))
✓	accuracy	99.2%	(fma.f64 (*.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64))
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 25/3 binary64) (*.f64 x x))))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.2%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 25/3 binary64) (*.f64 x x)))
✓	accuracy	98.8%	(/.f64 #s(literal 25/3 binary64) (*.f64 x x))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64))
✓	accuracy	99.9%	(fma.f64 (*.f64 x x) #s(literal -3/25 binary64) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)))
✓	accuracy	100.0%	(fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64))
✓	accuracy	99.9%	(fma.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 9/625 binary64) #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) x #s(literal 1 binary64))
✓	accuracy	99.7%	(fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))
✓	accuracy	99.2%	(fma.f64 (*.f64 x x) #s(literal 9/625 binary64) #s(literal -64009/1000000 binary64))
✓	accuracy	74.1%	(/.f64 (fma.f64 (*.f64 x x) #s(literal 9/625 binary64) #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)))

Samples

104.0ms	254×	0	valid
1.0ms	2×	1	valid

Compiler

Compiled 153 to 32 computations (79.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 88.0ms

const: 59.0ms (67% of total)

ival-mult: 13.0ms (14.8% of total)

ival-div: 7.0ms (7.9% of total)

ival-add: 7.0ms (7.9% of total)

ival-sub: 2.0ms (2.3% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory

5.0MiB live, 5.0MiB allocated

Counts

14 → 168

Calls

Call 1

Inputs
#<alt (+ (* (/ (+ (* (* x x) 9/625) -64009/1000000) (+ (* x -3/25) 253/1000)) x) 1)>
#<alt (/ (+ (* (* x x) 9/625) -64009/1000000) (+ (* x -3/25) 253/1000))>
#<alt (+ (* (* x x) 9/625) -64009/1000000)>
#<alt (+ (* x -3/25) 253/1000)>
#<alt (+ (* x -253/1000) 1)>
#<alt (+ (* (* x x) -3/25) (+ (* x -253/1000) 1))>
#<alt (* x x)>
#<alt (/ 1 (/ 25/3 (* x x)))>
#<alt (- 1 (/ 1 (/ 25/3 (* x x))))>
#<alt (/ 25/3 (* x x))>
#<alt (- 1 (* (+ (* (* x x) -9/625) 64009/1000000) (/ x (+ (* x -3/25) 253/1000))))>
#<alt (+ (* (* x x) -9/625) 64009/1000000)>
#<alt (/ x (+ (* x -3/25) 253/1000))>
#<alt (* (+ (* (* x x) -9/625) 64009/1000000) (/ x (+ (* x -3/25) 253/1000)))>

Outputs
#<alt 1>
#<alt (+ 1 (* -253/1000 x))>
#<alt (+ 1 (* x (- (* -3/25 x) 253/1000)))>
#<alt (+ 1 (* x (- (* -3/25 x) 253/1000)))>
#<alt (* -3/25 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -3/25 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))>
#<alt (* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))>
#<alt -253/1000>
#<alt (- (* -3/25 x) 253/1000)>
#<alt (- (* -3/25 x) 253/1000)>
#<alt (- (* -3/25 x) 253/1000)>
#<alt (* -3/25 x)>
#<alt (* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -3/25 x)>
#<alt (* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt -64009/1000000>
#<alt (- (* 9/625 (pow x 2)) 64009/1000000)>
#<alt (- (* 9/625 (pow x 2)) 64009/1000000)>
#<alt (- (* 9/625 (pow x 2)) 64009/1000000)>
#<alt (* 9/625 (pow x 2))>
#<alt (* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))>
#<alt (* 9/625 (pow x 2))>
#<alt (* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))>
#<alt 253/1000>
#<alt (+ 253/1000 (* -3/25 x))>
#<alt (+ 253/1000 (* -3/25 x))>
#<alt (+ 253/1000 (* -3/25 x))>
#<alt (* -3/25 x)>
#<alt (* x (- (* 253/1000 (/ 1 x)) 3/25))>
#<alt (* x (- (* 253/1000 (/ 1 x)) 3/25))>
#<alt (* x (- (* 253/1000 (/ 1 x)) 3/25))>
#<alt (* -3/25 x)>
#<alt (* -1 (* x (- 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -1 (* x (- 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -1 (* x (- 3/25 (* 253/1000 (/ 1 x)))))>
#<alt 1>
#<alt (+ 1 (* -253/1000 x))>
#<alt (+ 1 (* -253/1000 x))>
#<alt (+ 1 (* -253/1000 x))>
#<alt (* -253/1000 x)>
#<alt (* x (- (/ 1 x) 253/1000))>
#<alt (* x (- (/ 1 x) 253/1000))>
#<alt (* x (- (/ 1 x) 253/1000))>
#<alt (* -253/1000 x)>
#<alt (* -1 (* x (- 253/1000 (/ 1 x))))>
#<alt (* -1 (* x (- 253/1000 (/ 1 x))))>
#<alt (* -1 (* x (- 253/1000 (/ 1 x))))>
#<alt 1>
#<alt (+ 1 (* -253/1000 x))>
#<alt (+ 1 (* x (- (* -3/25 x) 253/1000)))>
#<alt (+ 1 (* x (- (* -3/25 x) 253/1000)))>
#<alt (* -3/25 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -3/25 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))>
#<alt (* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* 3/25 (pow x 2))>
#<alt (* 3/25 (pow x 2))>
#<alt (* 3/25 (pow x 2))>
#<alt (* 3/25 (pow x 2))>
#<alt (* 3/25 (pow x 2))>
#<alt (* 3/25 (pow x 2))>
#<alt (* 3/25 (pow x 2))>
#<alt (* 3/25 (pow x 2))>
#<alt (* 3/25 (pow x 2))>
#<alt (* 3/25 (pow x 2))>
#<alt (* 3/25 (pow x 2))>
#<alt (* 3/25 (pow x 2))>
#<alt 1>
#<alt (+ 1 (* -3/25 (pow x 2)))>
#<alt (+ 1 (* -3/25 (pow x 2)))>
#<alt (+ 1 (* -3/25 (pow x 2)))>
#<alt (* -3/25 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 3/25))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 3/25))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 3/25))>
#<alt (* -3/25 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 3/25))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 3/25))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 3/25))>
#<alt (/ 25/3 (pow x 2))>
#<alt (/ 25/3 (pow x 2))>
#<alt (/ 25/3 (pow x 2))>
#<alt (/ 25/3 (pow x 2))>
#<alt (/ 25/3 (pow x 2))>
#<alt (/ 25/3 (pow x 2))>
#<alt (/ 25/3 (pow x 2))>
#<alt (/ 25/3 (pow x 2))>
#<alt (/ 25/3 (pow x 2))>
#<alt (/ 25/3 (pow x 2))>
#<alt (/ 25/3 (pow x 2))>
#<alt (/ 25/3 (pow x 2))>
#<alt 1>
#<alt (+ 1 (* -253/1000 x))>
#<alt (+ 1 (* x (- (* -3/25 x) 253/1000)))>
#<alt (+ 1 (* x (- (* -3/25 x) 253/1000)))>
#<alt (* -3/25 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -3/25 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))>
#<alt (* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))>
#<alt 64009/1000000>
#<alt (+ 64009/1000000 (* -9/625 (pow x 2)))>
#<alt (+ 64009/1000000 (* -9/625 (pow x 2)))>
#<alt (+ 64009/1000000 (* -9/625 (pow x 2)))>
#<alt (* -9/625 (pow x 2))>
#<alt (* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))>
#<alt (* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))>
#<alt (* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))>
#<alt (* -9/625 (pow x 2))>
#<alt (* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))>
#<alt (* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))>
#<alt (* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))>
#<alt (* 1000/253 x)>
#<alt (* x (+ 1000/253 (* 120000/64009 x)))>
#<alt (* x (+ 1000/253 (* x (+ 120000/64009 (* 14400000/16194277 x)))))>
#<alt (* x (+ 1000/253 (* x (+ 120000/64009 (* x (+ 14400000/16194277 (* 1728000000/4097152081 x)))))))>
#<alt -25/3>
#<alt (* -1 (+ 25/3 (* 1265/72 (/ 1 x))))>
#<alt (- (* -1 (/ (+ 1265/72 (* 64009/1728 (/ 1 x))) x)) 25/3)>
#<alt (- (* -1 (/ (+ 64009/1728 (* 16194277/207360 (/ 1 x))) (pow x 2))) (+ 25/3 (* 1265/72 (/ 1 x))))>
#<alt -25/3>
#<alt (* -1 (+ 25/3 (* 1265/72 (/ 1 x))))>
#<alt (- (* -1 (/ (+ 1265/72 (* 64009/1728 (/ 1 x))) x)) 25/3)>
#<alt (- (* -1 (/ (+ 1265/72 (+ (* 64009/1728 (/ 1 x)) (/ 16194277/207360 (pow x 2)))) x)) 25/3)>
#<alt (* 253/1000 x)>
#<alt (* x (+ 253/1000 (* 3/25 x)))>
#<alt (* x (+ 253/1000 (* 3/25 x)))>
#<alt (* x (+ 253/1000 (* 3/25 x)))>
#<alt (* 3/25 (pow x 2))>
#<alt (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))>
#<alt (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))>
#<alt (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))>
#<alt (* 3/25 (pow x 2))>
#<alt (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))>
#<alt (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))>
#<alt (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))>

Calls

42 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(/ 25/3 (* x x))
0.0ms	x	@	inf	(- 1 (/ 1 (/ 25/3 (* x x))))
0.0ms	x	@	0	(+ (* (/ (+ (* (* x x) 9/625) -64009/1000000) (+ (* x -3/25) 253/1000)) x) 1)
0.0ms	x	@	inf	(/ 1 (/ 25/3 (* x x)))
0.0ms	x	@	0	(/ (+ (* (* x x) 9/625) -64009/1000000) (+ (* x -3/25) 253/1000))

rewrite553.0ms (6.6%)

Memory

35.3MiB live, 536.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

7 022×	`accelerator-lowering-fma.f32`
7 022×	`accelerator-lowering-fma.f64`
4 800×	`-lowering-.f32`
4 800×	`-lowering-.f64`
4 650×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	130
1	193	106
2	1730	106
0	8636	91

Stop Event

1×	iter limit
1×	node limit

Counts

14 → 685

Calls

Call 1

Inputs
(+ (* (/ (+ (* (* x x) 9/625) -64009/1000000) (+ (* x -3/25) 253/1000)) x) 1)
(/ (+ (* (* x x) 9/625) -64009/1000000) (+ (* x -3/25) 253/1000))
(+ (* (* x x) 9/625) -64009/1000000)
(+ (* x -3/25) 253/1000)
(+ (* x -253/1000) 1)
(+ (* (* x x) -3/25) (+ (* x -253/1000) 1))
(* x x)
(/ 1 (/ 25/3 (* x x)))
(- 1 (/ 1 (/ 25/3 (* x x))))
(/ 25/3 (* x x))
(- 1 (* (+ (* (* x x) -9/625) 64009/1000000) (/ x (+ (* x -3/25) 253/1000))))
(+ (* (* x x) -9/625) 64009/1000000)
(/ x (+ (* x -3/25) 253/1000))
(* (+ (* (* x x) -9/625) 64009/1000000) (/ x (+ (* x -3/25) 253/1000)))

Outputs
(+.f64 (*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))))
(+.f64 (.f64 x #s(literal -253/1000 binary64)) (fma.f64 (.f64 x x) #s(literal -3/25 binary64) #s(literal 1 binary64)))
(+.f64 (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)) (.f64 x (.f64 x #s(literal -3/25 binary64))))
(+.f64 (.f64 x (.f64 x #s(literal -3/25 binary64))) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)))
(+.f64 (fma.f64 (.f64 x x) #s(literal -3/25 binary64) #s(literal 1 binary64)) (.f64 x #s(literal -253/1000 binary64)))
(-.f64 (/.f64 (.f64 (.f64 x x) (*.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))) (fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal -1 binary64))))
(-.f64 (/.f64 (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 9/625 binary64)))) (-.f64 (.f64 x (.f64 x #s(literal -3/25 binary64))) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)))) (/.f64 (.f64 (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64))) (-.f64 (.f64 x (*.f64 x #s(literal -3/25 binary64))) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))))) (/.f64 (.f64 (.f64 x x) (.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))))))
(-.f64 (/.f64 (.f64 (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64))) (-.f64 (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)) (.f64 x (.f64 x #s(literal -3/25 binary64))))) (/.f64 (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 9/625 binary64)))) (-.f64 (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)) (.f64 x (*.f64 x #s(literal -3/25 binary64))))))
(fma.f64 x (*.f64 x #s(literal -3/25 binary64)) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)))
(fma.f64 x #s(literal -253/1000 binary64) (fma.f64 (*.f64 x x) #s(literal -3/25 binary64) #s(literal 1 binary64)))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(fma.f64 x (*.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal -3/25 binary64) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)))
(fma.f64 (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (/.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) #s(literal 1 binary64))
(fma.f64 #s(literal -3/25 binary64) (*.f64 x x) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 x #s(literal -3/25 binary64)) x (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (.f64 x #s(literal -253/1000 binary64)) (fma.f64 (.f64 x x) #s(literal -3/25 binary64) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -3/25 binary64))) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)))
(fma.f64 #s(literal -253/1000 binary64) x (fma.f64 (*.f64 x x) #s(literal -3/25 binary64) #s(literal 1 binary64)))
(fma.f64 #s(literal -253/1000 binary64) (.f64 x #s(literal 1 binary64)) (fma.f64 (.f64 x x) #s(literal -3/25 binary64) #s(literal 1 binary64)))
(fma.f64 (.f64 x #s(literal -253/1000 binary64)) #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal -3/25 binary64) #s(literal 1 binary64)))
(fma.f64 (/.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)))) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (.f64 (.f64 #s(literal 3/25 binary64) x) x) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -16194277/1000000000 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal 64009/1000000 binary64) (-.f64 #s(literal 1 binary64) (.f64 x #s(literal -253/1000 binary64))))) (.f64 x (.f64 x #s(literal -3/25 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)))) #s(literal 1 binary64))
(fma.f64 (fma.f64 (.f64 x x) #s(literal 64009/1000000 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -253/1000 binary64) #s(literal -1 binary64))) (.f64 x (*.f64 x #s(literal -3/25 binary64))))
(fma.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(fma.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) (*.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 9/625 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal 3/25 binary64) #s(literal 1 binary64))) (.f64 x #s(literal -253/1000 binary64)))
(fma.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) #s(literal 1 binary64))
(fma.f64 #s(literal 3/25 binary64) (*.f64 x (-.f64 #s(literal 0 binary64) x)) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)))
(fma.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 27/15625 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 #s(literal 3/25 binary64) x) x) (fma.f64 (.f64 x x) #s(literal 3/25 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (.f64 x #s(literal -253/1000 binary64)))
(fma.f64 (/.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64))) (fma.f64 (.f64 x (.f64 x x)) #s(literal -27/15625 binary64) #s(literal 16194277/1000000000 binary64))) (-.f64 (fma.f64 x (.f64 x #s(literal 9/625 binary64)) #s(literal 64009/1000000 binary64)) (.f64 x #s(literal -759/25000 binary64))) #s(literal 1 binary64))
(fma.f64 (/.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64))) (fma.f64 (.f64 x (.f64 x x)) #s(literal -27/15625 binary64) #s(literal 16194277/1000000000 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x (.f64 x #s(literal 9/625 binary64)) #s(literal 64009/1000000 binary64)) (.f64 x #s(literal -759/25000 binary64))))) #s(literal 1 binary64))
(fma.f64 (/.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64))) (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64))) (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 (fma.f64 x (.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (fma.f64 (.f64 x (.f64 x x)) #s(literal -27/15625 binary64) #s(literal 16194277/1000000000 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x (.f64 x #s(literal 9/625 binary64)) #s(literal 64009/1000000 binary64)) (*.f64 x #s(literal -759/25000 binary64))))) #s(literal 1 binary64))
(fma.f64 (/.f64 (fma.f64 x (.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (fma.f64 x (.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64))) (*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))) #s(literal 1 binary64))
(fma.f64 (/.f64 x (fma.f64 (.f64 x (.f64 x x)) #s(literal -27/15625 binary64) #s(literal 16194277/1000000000 binary64))) (/.f64 (fma.f64 x (.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x (.f64 x #s(literal 9/625 binary64)) #s(literal 64009/1000000 binary64)) (*.f64 x #s(literal -759/25000 binary64))))) #s(literal 1 binary64))
(fma.f64 (/.f64 x (fma.f64 x (.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64))) (/.f64 (fma.f64 x (.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))) #s(literal 1 binary64))
(fma.f64 (/.f64 x (/.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)) (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -729/244140625 binary64) #s(literal -262254607552729/1000000000000000000 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 81/390625 binary64) #s(literal 4097152081/1000000000000 binary64)) (.f64 (.f64 x x) #s(literal -576081/625000000 binary64)))) #s(literal 1 binary64))
(fma.f64 (/.f64 x (/.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 81/390625 binary64) #s(literal -4097152081/1000000000000 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 9/625 binary64)) #s(literal 64009/1000000 binary64))) #s(literal 1 binary64))
(fma.f64 (/.f64 x #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)) (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -729/244140625 binary64) #s(literal -262254607552729/1000000000000000000 binary64)))) (/.f64 x (-.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 81/390625 binary64) #s(literal 4097152081/1000000000000 binary64)) (.f64 (.f64 x x) #s(literal -576081/625000000 binary64)))) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 81/390625 binary64) #s(literal -4097152081/1000000000000 binary64)))) (/.f64 x (fma.f64 x (.f64 x #s(literal 9/625 binary64)) #s(literal 64009/1000000 binary64))) #s(literal 1 binary64))
(fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64))) #s(literal -1 binary64)) (/.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (.f64 x x) (.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))) #s(literal 1 binary64)) (.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))) (fma.f64 (.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))) (.f64 (.f64 x x) (*.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal -1 binary64)) (fma.f64 (.f64 x x) (.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)) (-.f64 (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)) (.f64 x (.f64 x #s(literal -3/25 binary64)))) (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 9/625 binary64))))) (fma.f64 #s(literal 27/15625 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)) (*.f64 (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 x (.f64 x #s(literal -3/25 binary64))) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64))) (.f64 (fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64)) (-.f64 (.f64 x (*.f64 x #s(literal -3/25 binary64))) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64))))))
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simplify694.0ms (8.3%)

Memory

-20.0MiB live, 536.7MiB allocated

Algorithm

1×	egg-herbie

Rules

7 632×	`accelerator-lowering-fma.f32`
7 632×	`accelerator-lowering-fma.f64`
3 226×	`-lowering-.f32`
3 226×	`-lowering-.f64`
2 114×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	107	982
1	291	974
2	698	958
3	1398	958
4	2474	954
5	5554	954
0	8102	840

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 168

Calls

Call 1

Inputs
1
(+ 1 (* -253/1000 x))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
-253/1000
(- (* -3/25 x) 253/1000)
(- (* -3/25 x) 253/1000)
(- (* -3/25 x) 253/1000)
(* -3/25 x)
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -3/25 x)
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
-64009/1000000
(- (* 9/625 (pow x 2)) 64009/1000000)
(- (* 9/625 (pow x 2)) 64009/1000000)
(- (* 9/625 (pow x 2)) 64009/1000000)
(* 9/625 (pow x 2))
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))
(* 9/625 (pow x 2))
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))
253/1000
(+ 253/1000 (* -3/25 x))
(+ 253/1000 (* -3/25 x))
(+ 253/1000 (* -3/25 x))
(* -3/25 x)
(* x (- (* 253/1000 (/ 1 x)) 3/25))
(* x (- (* 253/1000 (/ 1 x)) 3/25))
(* x (- (* 253/1000 (/ 1 x)) 3/25))
(* -3/25 x)
(* -1 (* x (- 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* x (- 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* x (- 3/25 (* 253/1000 (/ 1 x)))))
1
(+ 1 (* -253/1000 x))
(+ 1 (* -253/1000 x))
(+ 1 (* -253/1000 x))
(* -253/1000 x)
(* x (- (/ 1 x) 253/1000))
(* x (- (/ 1 x) 253/1000))
(* x (- (/ 1 x) 253/1000))
(* -253/1000 x)
(* -1 (* x (- 253/1000 (/ 1 x))))
(* -1 (* x (- 253/1000 (/ 1 x))))
(* -1 (* x (- 253/1000 (/ 1 x))))
1
(+ 1 (* -253/1000 x))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 3/25 (pow x 2))
(* 3/25 (pow x 2))
(* 3/25 (pow x 2))
(* 3/25 (pow x 2))
(* 3/25 (pow x 2))
(* 3/25 (pow x 2))
(* 3/25 (pow x 2))
(* 3/25 (pow x 2))
(* 3/25 (pow x 2))
(* 3/25 (pow x 2))
(* 3/25 (pow x 2))
(* 3/25 (pow x 2))
1
(+ 1 (* -3/25 (pow x 2)))
(+ 1 (* -3/25 (pow x 2)))
(+ 1 (* -3/25 (pow x 2)))
(* -3/25 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 3/25))
(* (pow x 2) (- (/ 1 (pow x 2)) 3/25))
(* (pow x 2) (- (/ 1 (pow x 2)) 3/25))
(* -3/25 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 3/25))
(* (pow x 2) (- (/ 1 (pow x 2)) 3/25))
(* (pow x 2) (- (/ 1 (pow x 2)) 3/25))
(/ 25/3 (pow x 2))
(/ 25/3 (pow x 2))
(/ 25/3 (pow x 2))
(/ 25/3 (pow x 2))
(/ 25/3 (pow x 2))
(/ 25/3 (pow x 2))
(/ 25/3 (pow x 2))
(/ 25/3 (pow x 2))
(/ 25/3 (pow x 2))
(/ 25/3 (pow x 2))
(/ 25/3 (pow x 2))
(/ 25/3 (pow x 2))
1
(+ 1 (* -253/1000 x))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
64009/1000000
(+ 64009/1000000 (* -9/625 (pow x 2)))
(+ 64009/1000000 (* -9/625 (pow x 2)))
(+ 64009/1000000 (* -9/625 (pow x 2)))
(* -9/625 (pow x 2))
(* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))
(* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))
(* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))
(* -9/625 (pow x 2))
(* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))
(* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))
(* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))
(* 1000/253 x)
(* x (+ 1000/253 (* 120000/64009 x)))
(* x (+ 1000/253 (* x (+ 120000/64009 (* 14400000/16194277 x)))))
(* x (+ 1000/253 (* x (+ 120000/64009 (* x (+ 14400000/16194277 (* 1728000000/4097152081 x)))))))
-25/3
(* -1 (+ 25/3 (* 1265/72 (/ 1 x))))
(- (* -1 (/ (+ 1265/72 (* 64009/1728 (/ 1 x))) x)) 25/3)
(- (* -1 (/ (+ 64009/1728 (* 16194277/207360 (/ 1 x))) (pow x 2))) (+ 25/3 (* 1265/72 (/ 1 x))))
-25/3
(* -1 (+ 25/3 (* 1265/72 (/ 1 x))))
(- (* -1 (/ (+ 1265/72 (* 64009/1728 (/ 1 x))) x)) 25/3)
(- (* -1 (/ (+ 1265/72 (+ (* 64009/1728 (/ 1 x)) (/ 16194277/207360 (pow x 2)))) x)) 25/3)
(* 253/1000 x)
(* x (+ 253/1000 (* 3/25 x)))
(* x (+ 253/1000 (* 3/25 x)))
(* x (+ 253/1000 (* 3/25 x)))
(* 3/25 (pow x 2))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(* 3/25 (pow x 2))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))

Outputs
1
#s(literal 1 binary64)
(+ 1 (* -253/1000 x))
(fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(* -3/25 (pow x 2))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 0 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(* -3/25 (pow x 2))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 0 binary64))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
-253/1000
#s(literal -253/1000 binary64)
(- (* -3/25 x) 253/1000)
(fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))
(- (* -3/25 x) 253/1000)
(fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))
(- (* -3/25 x) 253/1000)
(fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))
(* -3/25 x)
(fma.f64 x #s(literal -3/25 binary64) #s(literal 0 binary64))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))
(* -3/25 x)
(fma.f64 x #s(literal -3/25 binary64) #s(literal 0 binary64))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))
-64009/1000000
#s(literal -64009/1000000 binary64)
(- (* 9/625 (pow x 2)) 64009/1000000)
(fma.f64 x (fma.f64 x #s(literal 9/625 binary64) #s(literal 0 binary64)) #s(literal -64009/1000000 binary64))
(- (* 9/625 (pow x 2)) 64009/1000000)
(fma.f64 x (fma.f64 x #s(literal 9/625 binary64) #s(literal 0 binary64)) #s(literal -64009/1000000 binary64))
(- (* 9/625 (pow x 2)) 64009/1000000)
(fma.f64 x (fma.f64 x #s(literal 9/625 binary64) #s(literal 0 binary64)) #s(literal -64009/1000000 binary64))
(* 9/625 (pow x 2))
(*.f64 x (fma.f64 x #s(literal 9/625 binary64) #s(literal 0 binary64)))
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))
(fma.f64 x (fma.f64 x #s(literal 9/625 binary64) #s(literal 0 binary64)) #s(literal -64009/1000000 binary64))
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))
(fma.f64 x (fma.f64 x #s(literal 9/625 binary64) #s(literal 0 binary64)) #s(literal -64009/1000000 binary64))
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))
(fma.f64 x (fma.f64 x #s(literal 9/625 binary64) #s(literal 0 binary64)) #s(literal -64009/1000000 binary64))
(* 9/625 (pow x 2))
(*.f64 x (fma.f64 x #s(literal 9/625 binary64) #s(literal 0 binary64)))
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))
(fma.f64 x (fma.f64 x #s(literal 9/625 binary64) #s(literal 0 binary64)) #s(literal -64009/1000000 binary64))
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))
(fma.f64 x (fma.f64 x #s(literal 9/625 binary64) #s(literal 0 binary64)) #s(literal -64009/1000000 binary64))
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))
(fma.f64 x (fma.f64 x #s(literal 9/625 binary64) #s(literal 0 binary64)) #s(literal -64009/1000000 binary64))
253/1000
#s(literal 253/1000 binary64)
(+ 253/1000 (* -3/25 x))
(fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))
(+ 253/1000 (* -3/25 x))
(fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))
(+ 253/1000 (* -3/25 x))
(fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))
(* -3/25 x)
(fma.f64 x #s(literal -3/25 binary64) #s(literal 0 binary64))
(* x (- (* 253/1000 (/ 1 x)) 3/25))
(fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))
(* x (- (* 253/1000 (/ 1 x)) 3/25))
(fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))
(* x (- (* 253/1000 (/ 1 x)) 3/25))
(fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))
(* -3/25 x)
(fma.f64 x #s(literal -3/25 binary64) #s(literal 0 binary64))
(* -1 (* x (- 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))
(* -1 (* x (- 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))
(* -1 (* x (- 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -253/1000 x))
(fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64))
(+ 1 (* -253/1000 x))
(fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64))
(+ 1 (* -253/1000 x))
(fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64))
(* -253/1000 x)
(fma.f64 x #s(literal -253/1000 binary64) #s(literal 0 binary64))
(* x (- (/ 1 x) 253/1000))
(fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64))
(* x (- (/ 1 x) 253/1000))
(fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64))
(* x (- (/ 1 x) 253/1000))
(fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64))
(* -253/1000 x)
(fma.f64 x #s(literal -253/1000 binary64) #s(literal 0 binary64))
(* -1 (* x (- 253/1000 (/ 1 x))))
(fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64))
(* -1 (* x (- 253/1000 (/ 1 x))))
(fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64))
(* -1 (* x (- 253/1000 (/ 1 x))))
(fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -253/1000 x))
(fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(* -3/25 (pow x 2))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 0 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(* -3/25 (pow x 2))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 0 binary64))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(* 3/25 (pow x 2))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 3/25 binary64) #s(literal 0 binary64))
(* 3/25 (pow x 2))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 3/25 binary64) #s(literal 0 binary64))
(* 3/25 (pow x 2))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 3/25 binary64) #s(literal 0 binary64))
(* 3/25 (pow x 2))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 3/25 binary64) #s(literal 0 binary64))
(* 3/25 (pow x 2))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 3/25 binary64) #s(literal 0 binary64))
(* 3/25 (pow x 2))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 3/25 binary64) #s(literal 0 binary64))
(* 3/25 (pow x 2))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 3/25 binary64) #s(literal 0 binary64))
(* 3/25 (pow x 2))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 3/25 binary64) #s(literal 0 binary64))
(* 3/25 (pow x 2))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 3/25 binary64) #s(literal 0 binary64))
(* 3/25 (pow x 2))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 3/25 binary64) #s(literal 0 binary64))
(* 3/25 (pow x 2))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 3/25 binary64) #s(literal 0 binary64))
(* 3/25 (pow x 2))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 3/25 binary64) #s(literal 0 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -3/25 (pow x 2)))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 0 binary64)) #s(literal 1 binary64))
(+ 1 (* -3/25 (pow x 2)))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 0 binary64)) #s(literal 1 binary64))
(+ 1 (* -3/25 (pow x 2)))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 0 binary64)) #s(literal 1 binary64))
(* -3/25 (pow x 2))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) 3/25))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 0 binary64)) #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) 3/25))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 0 binary64)) #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) 3/25))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 0 binary64)) #s(literal 1 binary64))
(* -3/25 (pow x 2))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) 3/25))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 0 binary64)) #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) 3/25))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 0 binary64)) #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) 3/25))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 0 binary64)) #s(literal 1 binary64))
(/ 25/3 (pow x 2))
(/.f64 #s(literal 25/3 binary64) (fma.f64 x x #s(literal 0 binary64)))
(/ 25/3 (pow x 2))
(/.f64 #s(literal 25/3 binary64) (fma.f64 x x #s(literal 0 binary64)))
(/ 25/3 (pow x 2))
(/.f64 #s(literal 25/3 binary64) (fma.f64 x x #s(literal 0 binary64)))
(/ 25/3 (pow x 2))
(/.f64 #s(literal 25/3 binary64) (fma.f64 x x #s(literal 0 binary64)))
(/ 25/3 (pow x 2))
(/.f64 #s(literal 25/3 binary64) (fma.f64 x x #s(literal 0 binary64)))
(/ 25/3 (pow x 2))
(/.f64 #s(literal 25/3 binary64) (fma.f64 x x #s(literal 0 binary64)))
(/ 25/3 (pow x 2))
(/.f64 #s(literal 25/3 binary64) (fma.f64 x x #s(literal 0 binary64)))
(/ 25/3 (pow x 2))
(/.f64 #s(literal 25/3 binary64) (fma.f64 x x #s(literal 0 binary64)))
(/ 25/3 (pow x 2))
(/.f64 #s(literal 25/3 binary64) (fma.f64 x x #s(literal 0 binary64)))
(/ 25/3 (pow x 2))
(/.f64 #s(literal 25/3 binary64) (fma.f64 x x #s(literal 0 binary64)))
(/ 25/3 (pow x 2))
(/.f64 #s(literal 25/3 binary64) (fma.f64 x x #s(literal 0 binary64)))
(/ 25/3 (pow x 2))
(/.f64 #s(literal 25/3 binary64) (fma.f64 x x #s(literal 0 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* -253/1000 x))
(fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(* -3/25 (pow x 2))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 0 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(* -3/25 (pow x 2))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 0 binary64))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
64009/1000000
#s(literal 64009/1000000 binary64)
(+ 64009/1000000 (* -9/625 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -9/625 binary64)) #s(literal 64009/1000000 binary64))
(+ 64009/1000000 (* -9/625 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -9/625 binary64)) #s(literal 64009/1000000 binary64))
(+ 64009/1000000 (* -9/625 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -9/625 binary64)) #s(literal 64009/1000000 binary64))
(* -9/625 (pow x 2))
(.f64 x (.f64 x #s(literal -9/625 binary64)))
(* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))
(fma.f64 x (*.f64 x #s(literal -9/625 binary64)) #s(literal 64009/1000000 binary64))
(* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))
(fma.f64 x (*.f64 x #s(literal -9/625 binary64)) #s(literal 64009/1000000 binary64))
(* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))
(fma.f64 x (*.f64 x #s(literal -9/625 binary64)) #s(literal 64009/1000000 binary64))
(* -9/625 (pow x 2))
(.f64 x (.f64 x #s(literal -9/625 binary64)))
(* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))
(fma.f64 x (*.f64 x #s(literal -9/625 binary64)) #s(literal 64009/1000000 binary64))
(* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))
(fma.f64 x (*.f64 x #s(literal -9/625 binary64)) #s(literal 64009/1000000 binary64))
(* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))
(fma.f64 x (*.f64 x #s(literal -9/625 binary64)) #s(literal 64009/1000000 binary64))
(* 1000/253 x)
(*.f64 x #s(literal 1000/253 binary64))
(* x (+ 1000/253 (* 120000/64009 x)))
(*.f64 x (fma.f64 x #s(literal 120000/64009 binary64) #s(literal 1000/253 binary64)))
(* x (+ 1000/253 (* x (+ 120000/64009 (* 14400000/16194277 x)))))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 14400000/16194277 binary64) #s(literal 120000/64009 binary64)) #s(literal 1000/253 binary64)))
(* x (+ 1000/253 (* x (+ 120000/64009 (* x (+ 14400000/16194277 (* 1728000000/4097152081 x)))))))
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1728000000/4097152081 binary64) #s(literal 14400000/16194277 binary64)) #s(literal 120000/64009 binary64)) #s(literal 1000/253 binary64)))
-25/3
#s(literal -25/3 binary64)
(* -1 (+ 25/3 (* 1265/72 (/ 1 x))))
(+.f64 #s(literal -25/3 binary64) (/.f64 #s(literal -1265/72 binary64) x))
(- (* -1 (/ (+ 1265/72 (* 64009/1728 (/ 1 x))) x)) 25/3)
(-.f64 #s(literal -25/3 binary64) (/.f64 (+.f64 #s(literal 1265/72 binary64) (/.f64 #s(literal 64009/1728 binary64) x)) x))
(- (* -1 (/ (+ 64009/1728 (* 16194277/207360 (/ 1 x))) (pow x 2))) (+ 25/3 (* 1265/72 (/ 1 x))))
(+.f64 #s(literal -25/3 binary64) (/.f64 (+.f64 #s(literal -1265/72 binary64) (/.f64 (+.f64 #s(literal -64009/1728 binary64) (/.f64 #s(literal -16194277/207360 binary64) x)) x)) x))
-25/3
#s(literal -25/3 binary64)
(* -1 (+ 25/3 (* 1265/72 (/ 1 x))))
(+.f64 #s(literal -25/3 binary64) (/.f64 #s(literal -1265/72 binary64) x))
(- (* -1 (/ (+ 1265/72 (* 64009/1728 (/ 1 x))) x)) 25/3)
(-.f64 #s(literal -25/3 binary64) (/.f64 (+.f64 #s(literal 1265/72 binary64) (/.f64 #s(literal 64009/1728 binary64) x)) x))
(- (* -1 (/ (+ 1265/72 (+ (* 64009/1728 (/ 1 x)) (/ 16194277/207360 (pow x 2)))) x)) 25/3)
(+.f64 #s(literal -25/3 binary64) (/.f64 (+.f64 #s(literal -1265/72 binary64) (/.f64 (+.f64 #s(literal -64009/1728 binary64) (/.f64 #s(literal -16194277/207360 binary64) x)) x)) x))
(* 253/1000 x)
(fma.f64 x #s(literal 253/1000 binary64) #s(literal 0 binary64))
(* x (+ 253/1000 (* 3/25 x)))
(fma.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) #s(literal 0 binary64))
(* x (+ 253/1000 (* 3/25 x)))
(fma.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) #s(literal 0 binary64))
(* x (+ 253/1000 (* 3/25 x)))
(fma.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) #s(literal 0 binary64))
(* 3/25 (pow x 2))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 3/25 binary64) #s(literal 0 binary64))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(fma.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) #s(literal 0 binary64))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(fma.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) #s(literal 0 binary64))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(fma.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) #s(literal 0 binary64))
(* 3/25 (pow x 2))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 3/25 binary64) #s(literal 0 binary64))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(fma.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) #s(literal 0 binary64))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(fma.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) #s(literal 0 binary64))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(fma.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) #s(literal 0 binary64))

eval125.0ms (1.5%)

Memory: 12.1MiB live, 286.3MiB allocated
Compiler: Compiled 23 902 to 2 096 computations (91.2% saved)

prune100.0ms (1.2%)

Memory

21.6MiB live, 220.4MiB allocated

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	1 006	4	1 010
Fresh	3	1	4
Picked	3	2	5
Done	0	2	2
Total	1 012	9	1 021

Accuracy

100.0%

Counts

1 021 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(fma.f64 (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (/.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) #s(literal 1 binary64))
✓	99.9%	(fma.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
✓	99.9%	(fma.f64 (*.f64 x x) #s(literal -3/25 binary64) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)))
▶	98.5%	(fma.f64 (*.f64 x x) #s(literal -3/25 binary64) #s(literal 1 binary64))
▶	98.5%	(fma.f64 (*.f64 x #s(literal -3/25 binary64)) x #s(literal 1 binary64))
✓	46.8%	(fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64))
▶	3.5%	(fma.f64 x #s(literal -253/1000 binary64) #s(literal 0 binary64))
▶	62.9%	(-.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64)) #s(literal -25/3 binary64)))
✓	45.2%	#s(literal 1 binary64)

Compiler

Compiled 115 to 87 computations (24.3% saved)

simplify188.0ms (2.2%)

Memory

-3.9MiB live, 192.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-64	(*.f64 x x)
✓	cost-diff	0	(fma.f64 (*.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64))
✓	cost-diff	192	(-.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64)) #s(literal -25/3 binary64)))
✓	cost-diff	320	(.f64 (fma.f64 (.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64)) #s(literal -25/3 binary64))
✓	cost-diff	-64	(*.f64 x x)
✓	cost-diff	0	(fma.f64 (*.f64 x x) #s(literal -3/25 binary64) #s(literal 1 binary64))
✓	cost-diff	-64	(*.f64 x #s(literal -3/25 binary64))
✓	cost-diff	0	(fma.f64 (*.f64 x #s(literal -3/25 binary64)) x #s(literal 1 binary64))
✓	cost-diff	0	(fma.f64 x #s(literal -253/1000 binary64) #s(literal 0 binary64))
✓	cost-diff	0	(fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))
✓	cost-diff	0	(/.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)))
✓	cost-diff	0	(fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64))
✓	cost-diff	0	(fma.f64 (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (/.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) #s(literal 1 binary64))

Rules

2 712×	`accelerator-lowering-fma.f32`
2 712×	`accelerator-lowering-fma.f64`
1 368×	`-lowering-.f32`
1 368×	`-lowering-.f64`
880×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	112
1	58	112
2	98	106
3	252	106
4	570	106
5	897	106
6	1249	106
7	1648	106
8	2185	106
9	3714	106
10	3966	106
11	4009	106
12	4033	106
13	4043	106
14	4043	106
15	4141	106
16	4169	106
17	4169	106
0	4169	95

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(+ (* (+ (* x (* x 9/625)) -64009/1000000) (/ x (+ (* x -3/25) 253/1000))) 1)
(+ (* x (* x 9/625)) -64009/1000000)
x
(* x 9/625)
9/625
-64009/1000000
(/ x (+ (* x -3/25) 253/1000))
(+ (* x -3/25) 253/1000)
-3/25
253/1000
1
(+ (* x -253/1000) 0)
x
-253/1000
0
(+ (* (* x -3/25) x) 1)
(* x -3/25)
x
-3/25
1
(+ (* (* x x) -3/25) 1)
(* x x)
x
-3/25
1
(- 1 (* (+ (* (* x x) -9/625) 64009/1000000) -25/3))
1
(* (+ (* (* x x) -9/625) 64009/1000000) -25/3)
(+ (* (* x x) -9/625) 64009/1000000)
(* x x)
x
-9/625
64009/1000000
-25/3

Outputs
(+ (* (+ (* x (* x 9/625)) -64009/1000000) (/ x (+ (* x -3/25) 253/1000))) 1)
(fma.f64 (fma.f64 x (fma.f64 x #s(literal 9/625 binary64) #s(literal 0 binary64)) #s(literal -64009/1000000 binary64)) (/.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) #s(literal 1 binary64))
(+ (* x (* x 9/625)) -64009/1000000)
(fma.f64 x (fma.f64 x #s(literal 9/625 binary64) #s(literal 0 binary64)) #s(literal -64009/1000000 binary64))
x
(* x 9/625)
(fma.f64 x #s(literal 9/625 binary64) #s(literal 0 binary64))
9/625
#s(literal 9/625 binary64)
-64009/1000000
#s(literal -64009/1000000 binary64)
(/ x (+ (* x -3/25) 253/1000))
(/.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)))
(+ (* x -3/25) 253/1000)
(fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))
-3/25
#s(literal -3/25 binary64)
253/1000
#s(literal 253/1000 binary64)
1
#s(literal 1 binary64)
(+ (* x -253/1000) 0)
(fma.f64 x #s(literal -253/1000 binary64) #s(literal 0 binary64))
x
-253/1000
#s(literal -253/1000 binary64)
0
#s(literal 0 binary64)
(+ (* (* x -3/25) x) 1)
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 0 binary64)) #s(literal 1 binary64))
(* x -3/25)
(fma.f64 x #s(literal -3/25 binary64) #s(literal 0 binary64))
x
-3/25
#s(literal -3/25 binary64)
1
#s(literal 1 binary64)
(+ (* (* x x) -3/25) 1)
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 0 binary64)) #s(literal 1 binary64))
(* x x)
(fma.f64 x x #s(literal 0 binary64))
x
-3/25
#s(literal -3/25 binary64)
1
#s(literal 1 binary64)
(- 1 (* (+ (* (* x x) -9/625) 64009/1000000) -25/3))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 0 binary64)) #s(literal 184009/120000 binary64))
1
#s(literal 1 binary64)
(* (+ (* (* x x) -9/625) 64009/1000000) -25/3)
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 3/25 binary64) #s(literal -64009/120000 binary64))
(+ (* (* x x) -9/625) 64009/1000000)
(fma.f64 x (fma.f64 x #s(literal -9/625 binary64) #s(literal 0 binary64)) #s(literal 64009/1000000 binary64))
(* x x)
(fma.f64 x x #s(literal 0 binary64))
x
-9/625
#s(literal -9/625 binary64)
64009/1000000
#s(literal 64009/1000000 binary64)
-25/3
#s(literal -25/3 binary64)

localize122.0ms (1.5%)

Memory

4.8MiB live, 251.9MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.8%	(.f64 (fma.f64 (.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64)) #s(literal -25/3 binary64))
✓	accuracy	99.3%	(-.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64)) #s(literal -25/3 binary64)))
✓	accuracy	99.2%	(fma.f64 (*.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.9%	(fma.f64 (*.f64 x x) #s(literal -3/25 binary64) #s(literal 1 binary64))
✓	accuracy	99.9%	(fma.f64 (*.f64 x #s(literal -3/25 binary64)) x #s(literal 1 binary64))
✓	accuracy	99.5%	(*.f64 x #s(literal -3/25 binary64))
✓	accuracy	99.9%	(fma.f64 x #s(literal -253/1000 binary64) #s(literal 0 binary64))
✓	accuracy	99.8%	(fma.f64 (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (/.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) #s(literal 1 binary64))
✓	accuracy	99.7%	(fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))
✓	accuracy	99.7%	(*.f64 x #s(literal 9/625 binary64))
✓	accuracy	99.7%	(/.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)))

Samples

89.0ms	254×	0	valid
2.0ms	2×	5	exit

Compiler

Compiled 104 to 32 computations (69.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 73.0ms

ival-mult: 33.0ms (45% of total)

const: 25.0ms (34.1% of total)

ival-add: 8.0ms (10.9% of total)

ival-sub: 4.0ms (5.5% of total)

ival-div: 2.0ms (2.7% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory

-29.7MiB live, 9.1MiB allocated

Counts

13 → 156

Calls

Call 1

Inputs
#<alt (+ (* (+ (* x (* x 9/625)) -64009/1000000) (/ x (+ (* x -3/25) 253/1000))) 1)>
#<alt (+ (* x (* x 9/625)) -64009/1000000)>
#<alt (/ x (+ (* x -3/25) 253/1000))>
#<alt (+ (* x -3/25) 253/1000)>
#<alt (+ (* x -253/1000) 0)>
#<alt (+ (* (* x -3/25) x) 1)>
#<alt (* x -3/25)>
#<alt (+ (* (* x x) -3/25) 1)>
#<alt (* x x)>
#<alt (* (+ (* (* x x) -9/625) 64009/1000000) -25/3)>
#<alt (- 1 (* (+ (* (* x x) -9/625) 64009/1000000) -25/3))>
#<alt (+ (* (* x x) -9/625) 64009/1000000)>
#<alt (* x 9/625)>

Outputs
#<alt 1>
#<alt (+ 1 (* -253/1000 x))>
#<alt (+ 1 (* x (- (* -3/25 x) 253/1000)))>
#<alt (+ 1 (* x (- (* -3/25 x) 253/1000)))>
#<alt (* -3/25 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -3/25 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))>
#<alt (* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))>
#<alt -64009/1000000>
#<alt (- (* 9/625 (pow x 2)) 64009/1000000)>
#<alt (- (* 9/625 (pow x 2)) 64009/1000000)>
#<alt (- (* 9/625 (pow x 2)) 64009/1000000)>
#<alt (* 9/625 (pow x 2))>
#<alt (* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))>
#<alt (* 9/625 (pow x 2))>
#<alt (* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))>
#<alt (* 1000/253 x)>
#<alt (* x (+ 1000/253 (* 120000/64009 x)))>
#<alt (* x (+ 1000/253 (* x (+ 120000/64009 (* 14400000/16194277 x)))))>
#<alt (* x (+ 1000/253 (* x (+ 120000/64009 (* x (+ 14400000/16194277 (* 1728000000/4097152081 x)))))))>
#<alt -25/3>
#<alt (* -1 (+ 25/3 (* 1265/72 (/ 1 x))))>
#<alt (- (* -1 (/ (+ 1265/72 (* 64009/1728 (/ 1 x))) x)) 25/3)>
#<alt (- (* -1 (/ (+ 64009/1728 (* 16194277/207360 (/ 1 x))) (pow x 2))) (+ 25/3 (* 1265/72 (/ 1 x))))>
#<alt -25/3>
#<alt (* -1 (+ 25/3 (* 1265/72 (/ 1 x))))>
#<alt (- (* -1 (/ (+ 1265/72 (* 64009/1728 (/ 1 x))) x)) 25/3)>
#<alt (- (* -1 (/ (+ 1265/72 (+ (* 64009/1728 (/ 1 x)) (/ 16194277/207360 (pow x 2)))) x)) 25/3)>
#<alt 253/1000>
#<alt (+ 253/1000 (* -3/25 x))>
#<alt (+ 253/1000 (* -3/25 x))>
#<alt (+ 253/1000 (* -3/25 x))>
#<alt (* -3/25 x)>
#<alt (* x (- (* 253/1000 (/ 1 x)) 3/25))>
#<alt (* x (- (* 253/1000 (/ 1 x)) 3/25))>
#<alt (* x (- (* 253/1000 (/ 1 x)) 3/25))>
#<alt (* -3/25 x)>
#<alt (* -1 (* x (- 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -1 (* x (- 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -1 (* x (- 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -253/1000 x)>
#<alt (* -253/1000 x)>
#<alt (* -253/1000 x)>
#<alt (* -253/1000 x)>
#<alt (* -253/1000 x)>
#<alt (* -253/1000 x)>
#<alt (* -253/1000 x)>
#<alt (* -253/1000 x)>
#<alt (* -253/1000 x)>
#<alt (* -253/1000 x)>
#<alt (* -253/1000 x)>
#<alt (* -253/1000 x)>
#<alt 1>
#<alt (+ 1 (* -3/25 (pow x 2)))>
#<alt (+ 1 (* -3/25 (pow x 2)))>
#<alt (+ 1 (* -3/25 (pow x 2)))>
#<alt (* -3/25 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 3/25))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 3/25))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 3/25))>
#<alt (* -3/25 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 3/25))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 3/25))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 3/25))>
#<alt (* -3/25 x)>
#<alt (* -3/25 x)>
#<alt (* -3/25 x)>
#<alt (* -3/25 x)>
#<alt (* -3/25 x)>
#<alt (* -3/25 x)>
#<alt (* -3/25 x)>
#<alt (* -3/25 x)>
#<alt (* -3/25 x)>
#<alt (* -3/25 x)>
#<alt (* -3/25 x)>
#<alt (* -3/25 x)>
#<alt 1>
#<alt (+ 1 (* -3/25 (pow x 2)))>
#<alt (+ 1 (* -3/25 (pow x 2)))>
#<alt (+ 1 (* -3/25 (pow x 2)))>
#<alt (* -3/25 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 3/25))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 3/25))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 3/25))>
#<alt (* -3/25 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 3/25))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 3/25))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 3/25))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt -64009/120000>
#<alt (- (* 3/25 (pow x 2)) 64009/120000)>
#<alt (- (* 3/25 (pow x 2)) 64009/120000)>
#<alt (- (* 3/25 (pow x 2)) 64009/120000)>
#<alt (* 3/25 (pow x 2))>
#<alt (* (pow x 2) (- 3/25 (* 64009/120000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 3/25 (* 64009/120000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 3/25 (* 64009/120000 (/ 1 (pow x 2)))))>
#<alt (* 3/25 (pow x 2))>
#<alt (* (pow x 2) (- 3/25 (* 64009/120000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 3/25 (* 64009/120000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 3/25 (* 64009/120000 (/ 1 (pow x 2)))))>
#<alt 184009/120000>
#<alt (+ 184009/120000 (* -3/25 (pow x 2)))>
#<alt (+ 184009/120000 (* -3/25 (pow x 2)))>
#<alt (+ 184009/120000 (* -3/25 (pow x 2)))>
#<alt (* -3/25 (pow x 2))>
#<alt (* (pow x 2) (- (* 184009/120000 (/ 1 (pow x 2))) 3/25))>
#<alt (* (pow x 2) (- (* 184009/120000 (/ 1 (pow x 2))) 3/25))>
#<alt (* (pow x 2) (- (* 184009/120000 (/ 1 (pow x 2))) 3/25))>
#<alt (* -3/25 (pow x 2))>
#<alt (* (pow x 2) (- (* 184009/120000 (/ 1 (pow x 2))) 3/25))>
#<alt (* (pow x 2) (- (* 184009/120000 (/ 1 (pow x 2))) 3/25))>
#<alt (* (pow x 2) (- (* 184009/120000 (/ 1 (pow x 2))) 3/25))>
#<alt 64009/1000000>
#<alt (+ 64009/1000000 (* -9/625 (pow x 2)))>
#<alt (+ 64009/1000000 (* -9/625 (pow x 2)))>
#<alt (+ 64009/1000000 (* -9/625 (pow x 2)))>
#<alt (* -9/625 (pow x 2))>
#<alt (* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))>
#<alt (* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))>
#<alt (* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))>
#<alt (* -9/625 (pow x 2))>
#<alt (* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))>
#<alt (* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))>
#<alt (* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))>
#<alt (* 9/625 x)>
#<alt (* 9/625 x)>
#<alt (* 9/625 x)>
#<alt (* 9/625 x)>
#<alt (* 9/625 x)>
#<alt (* 9/625 x)>
#<alt (* 9/625 x)>
#<alt (* 9/625 x)>
#<alt (* 9/625 x)>
#<alt (* 9/625 x)>
#<alt (* 9/625 x)>
#<alt (* 9/625 x)>

Calls

39 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(* x 9/625)
0.0ms	x	@	-inf	(* x 9/625)
0.0ms	x	@	inf	(+ (* x -253/1000) 0)
0.0ms	x	@	0	(* x 9/625)
0.0ms	x	@	0	(* (+ (* (* x x) -9/625) 64009/1000000) -25/3)

rewrite398.0ms (4.7%)

Memory

45.6MiB live, 797.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 708×	`accelerator-lowering-fma.f32`
6 708×	`accelerator-lowering-fma.f64`
4 060×	`-lowering-.f32`
4 060×	`-lowering-.f64`
3 760×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	89
1	165	89
2	1307	84
0	8388	73

Stop Event

1×	iter limit
1×	node limit

Counts

13 → 639

Calls

Call 1

Inputs
(+ (* (+ (* x (* x 9/625)) -64009/1000000) (/ x (+ (* x -3/25) 253/1000))) 1)
(+ (* x (* x 9/625)) -64009/1000000)
(/ x (+ (* x -3/25) 253/1000))
(+ (* x -3/25) 253/1000)
(+ (* x -253/1000) 0)
(+ (* (* x -3/25) x) 1)
(* x -3/25)
(+ (* (* x x) -3/25) 1)
(* x x)
(* (+ (* (* x x) -9/625) 64009/1000000) -25/3)
(- 1 (* (+ (* (* x x) -9/625) 64009/1000000) -25/3))
(+ (* (* x x) -9/625) 64009/1000000)
(* x 9/625)

Outputs
(+.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))))
(+.f64 (/.f64 (.f64 (.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))) (fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal -1 binary64)))))
(-.f64 (/.f64 (.f64 (.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))) (fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))))) (/.f64 (.f64 (.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))))))
(fma.f64 x (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) (fma.f64 x (.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64))) #s(literal 1 binary64))
(fma.f64 (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (/.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) #s(literal 1 binary64))
(fma.f64 (/.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))) #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal -1 binary64)))))
(fma.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -729/244140625 binary64)) #s(literal -262254607552729/1000000000000000000 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 81/390625 binary64)) #s(literal 4097152081/1000000000000 binary64)) (.f64 (*.f64 x x) #s(literal 576081/625000000 binary64))) (/.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)) x))) #s(literal 1 binary64))
(fma.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -729/244140625 binary64)) #s(literal -262254607552729/1000000000000000000 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)) x) (+.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 81/390625 binary64)) #s(literal 4097152081/1000000000000 binary64)) (.f64 (*.f64 x x) #s(literal 576081/625000000 binary64))))) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) (/.f64 (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(fma.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(fma.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 81/390625 binary64)) #s(literal -4097152081/1000000000000 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) (/.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)) x))) #s(literal 1 binary64))
(fma.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 81/390625 binary64)) #s(literal -4097152081/1000000000000 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)) x) (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)))) #s(literal 1 binary64))
(fma.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) #s(literal 1 binary64))
(fma.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -729/244140625 binary64)) #s(literal -262254607552729/1000000000000000000 binary64)) x) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 81/390625 binary64)) #s(literal 4097152081/1000000000000 binary64)) (.f64 (.f64 x x) #s(literal 576081/625000000 binary64))) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)))) #s(literal 1 binary64))
(fma.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -729/244140625 binary64)) #s(literal -262254607552729/1000000000000000000 binary64)) (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 81/390625 binary64)) #s(literal 4097152081/1000000000000 binary64)) (.f64 (.f64 x x) #s(literal 576081/625000000 binary64))) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)))) #s(literal 1 binary64))
(fma.f64 (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 81/390625 binary64)) #s(literal -4097152081/1000000000000 binary64)) x) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 9/625 binary64) (.f64 x x) #s(literal 64009/1000000 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)))) #s(literal 1 binary64))
(fma.f64 (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 81/390625 binary64)) #s(literal -4097152081/1000000000000 binary64)) (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 9/625 binary64) (.f64 x x) #s(literal 64009/1000000 binary64)) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)))) #s(literal 1 binary64))
(fma.f64 (.f64 x (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -729/244140625 binary64)) #s(literal -262254607552729/1000000000000000000 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)) (+.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 81/390625 binary64)) #s(literal 4097152081/1000000000000 binary64)) (.f64 (.f64 x x) #s(literal 576081/625000000 binary64))))) #s(literal 1 binary64))
(fma.f64 (.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 81/390625 binary64)) #s(literal -4097152081/1000000000000 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)) (fma.f64 #s(literal 9/625 binary64) (.f64 x x) #s(literal 64009/1000000 binary64)))) #s(literal 1 binary64))
(fma.f64 (.f64 (-.f64 #s(literal 0 binary64) x) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -729/244140625 binary64)) #s(literal -262254607552729/1000000000000000000 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)) (+.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 81/390625 binary64)) #s(literal 4097152081/1000000000000 binary64)) (.f64 (.f64 x x) #s(literal 576081/625000000 binary64))))) #s(literal 1 binary64))
(fma.f64 (.f64 (-.f64 #s(literal 0 binary64) x) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 81/390625 binary64)) #s(literal -4097152081/1000000000000 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)) (fma.f64 #s(literal 9/625 binary64) (.f64 x x) #s(literal 64009/1000000 binary64)))) #s(literal 1 binary64))
(fma.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -9/625 binary64)) #s(literal 64009/1000000 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))) #s(literal 1 binary64))
(fma.f64 (.f64 (/.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -729/244140625 binary64)) #s(literal -262254607552729/1000000000000000000 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 81/390625 binary64)) #s(literal 4097152081/1000000000000 binary64)) (.f64 (*.f64 x x) #s(literal 576081/625000000 binary64)))) #s(literal 1 binary64))
(fma.f64 (.f64 (/.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 81/390625 binary64)) #s(literal -4097152081/1000000000000 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64))) #s(literal 1 binary64))
(fma.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -729/244140625 binary64)) #s(literal -262254607552729/1000000000000000000 binary64)) (/.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 81/390625 binary64)) #s(literal 4097152081/1000000000000 binary64)) (.f64 (*.f64 x x) #s(literal 576081/625000000 binary64)))) #s(literal 1 binary64))
(fma.f64 (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 81/390625 binary64)) #s(literal -4097152081/1000000000000 binary64)) (/.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64))) #s(literal 1 binary64))
(fma.f64 (/.f64 x (fma.f64 (.f64 x (.f64 x x)) #s(literal -27/15625 binary64) #s(literal 16194277/1000000000 binary64))) (/.f64 (fma.f64 x (.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 9/625 binary64) (.f64 x x) #s(literal 64009/1000000 binary64)) (*.f64 x #s(literal 759/25000 binary64))))) #s(literal 1 binary64))
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(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4097152081/1000000000000 binary64) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 81/390625 binary64)) (.f64 (.f64 x x) #s(literal 576081/625000000 binary64)))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -729/244140625 binary64)) #s(literal 262254607552729/1000000000000000000 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 64009/1000000 binary64) (.f64 x (.f64 x #s(literal 9/625 binary64)))) (+.f64 #s(literal 4097152081/1000000000000 binary64) (.f64 #s(literal -81/390625 binary64) (.f64 (.f64 x x) (.f64 x x))))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -729/244140625 binary64)) #s(literal 262254607552729/1000000000000000000 binary64)) (+.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 81/390625 binary64)) #s(literal 4097152081/1000000000000 binary64)) (.f64 (.f64 x x) #s(literal 576081/625000000 binary64))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -729/244140625 binary64)) #s(literal 262254607552729/1000000000000000000 binary64)) (+.f64 #s(literal 4097152081/1000000000000 binary64) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 81/390625 binary64)) (.f64 (.f64 x x) #s(literal 576081/625000000 binary64)))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -729/244140625 binary64)) #s(literal -262254607552729/1000000000000000000 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 81/390625 binary64)) #s(literal 4097152081/1000000000000 binary64)) (.f64 (.f64 x x) #s(literal 576081/625000000 binary64)))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -729/244140625 binary64)) #s(literal -262254607552729/1000000000000000000 binary64)) (neg.f64 (+.f64 #s(literal 4097152081/1000000000000 binary64) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 81/390625 binary64)) (.f64 (.f64 x x) #s(literal 576081/625000000 binary64))))))
(/.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 81/390625 binary64)) #s(literal -4097152081/1000000000000 binary64)) (fma.f64 x (.f64 x #s(literal -9/625 binary64)) #s(literal -64009/1000000 binary64)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -9/625 binary64)) #s(literal 64009/1000000 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -729/244140625 binary64)) #s(literal 262254607552729/1000000000000000000 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 81/390625 binary64)) #s(literal 4097152081/1000000000000 binary64)) (.f64 (.f64 x x) #s(literal 576081/625000000 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -729/244140625 binary64)) #s(literal 262254607552729/1000000000000000000 binary64))) (neg.f64 (+.f64 #s(literal 4097152081/1000000000000 binary64) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 81/390625 binary64)) (.f64 (.f64 x x) #s(literal 576081/625000000 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 81/390625 binary64)) #s(literal -4097152081/1000000000000 binary64))) (fma.f64 #s(literal 9/625 binary64) (.f64 x x) #s(literal 64009/1000000 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -729/244140625 binary64)) #s(literal -262254607552729/1000000000000000000 binary64))) (+.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 81/390625 binary64)) #s(literal 4097152081/1000000000000 binary64)) (.f64 (.f64 x x) #s(literal 576081/625000000 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -729/244140625 binary64)) #s(literal -262254607552729/1000000000000000000 binary64))) (+.f64 #s(literal 4097152081/1000000000000 binary64) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 81/390625 binary64)) (.f64 (.f64 x x) #s(literal 576081/625000000 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -729/244140625 binary64)) #s(literal -262254607552729/1000000000000000000 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 81/390625 binary64)) #s(literal 4097152081/1000000000000 binary64)) (.f64 (.f64 x x) #s(literal 576081/625000000 binary64))))))
(/.f64 (+.f64 #s(literal 4097152081/1000000000000 binary64) (.f64 #s(literal -81/390625 binary64) (.f64 (.f64 x x) (.f64 x x)))) (+.f64 #s(literal 64009/1000000 binary64) (.f64 x (.f64 x #s(literal 9/625 binary64)))))
(/.f64 (+.f64 #s(literal 4097152081/1000000000000 binary64) (.f64 #s(literal -81/390625 binary64) (.f64 (.f64 x x) (.f64 x x)))) (neg.f64 (+.f64 #s(literal -64009/1000000 binary64) (.f64 (.f64 x x) #s(literal -9/625 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 81/390625 binary64))) (fma.f64 x (.f64 x #s(literal -9/625 binary64)) #s(literal -64009/1000000 binary64))) (.f64 (fma.f64 x (.f64 x #s(literal -9/625 binary64)) #s(literal -64009/1000000 binary64)) #s(literal 4097152081/1000000000000 binary64))) (.f64 (fma.f64 x (.f64 x #s(literal -9/625 binary64)) #s(literal -64009/1000000 binary64)) (fma.f64 x (*.f64 x #s(literal -9/625 binary64)) #s(literal -64009/1000000 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -729/244140625 binary64)) #s(literal 262254607552729/1000000000000000000 binary64)))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 81/390625 binary64)) #s(literal 4097152081/1000000000000 binary64)) (.f64 (.f64 x x) #s(literal 576081/625000000 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 81/390625 binary64)) #s(literal -4097152081/1000000000000 binary64)))) (fma.f64 x (.f64 x #s(literal -9/625 binary64)) #s(literal -64009/1000000 binary64)))
(/.f64 (neg.f64 (+.f64 #s(literal 4097152081/1000000000000 binary64) (.f64 #s(literal -81/390625 binary64) (.f64 (.f64 x x) (.f64 x x))))) (+.f64 #s(literal -64009/1000000 binary64) (.f64 (.f64 x x) #s(literal -9/625 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 4097152081/1000000000000 binary64) (.f64 #s(literal -81/390625 binary64) (.f64 (.f64 x x) (.f64 x x))))) (neg.f64 (+.f64 #s(literal 64009/1000000 binary64) (.f64 x (.f64 x #s(literal 9/625 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -729/244140625 binary64)) #s(literal -262254607552729/1000000000000000000 binary64)))) (-.f64 #s(literal 0 binary64) (+.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 81/390625 binary64)) #s(literal 4097152081/1000000000000 binary64)) (.f64 (.f64 x x) #s(literal 576081/625000000 binary64)))))
(/.f64 (-.f64 #s(literal 262254607552729/1000000000000000000 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -729/244140625 binary64)))) (+.f64 #s(literal 4097152081/1000000000000 binary64) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 81/390625 binary64)) (.f64 (*.f64 x x) #s(literal 576081/625000000 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 81/390625 binary64))) (fma.f64 x (.f64 x #s(literal -9/625 binary64)) #s(literal -64009/1000000 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 4097152081/1000000000000 binary64) (fma.f64 x (.f64 x #s(literal -9/625 binary64)) #s(literal -64009/1000000 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 81/390625 binary64))) (fma.f64 x (.f64 x #s(literal -9/625 binary64)) #s(literal -64009/1000000 binary64))) (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 81/390625 binary64))) (fma.f64 x (.f64 x #s(literal -9/625 binary64)) #s(literal -64009/1000000 binary64))) (fma.f64 (/.f64 #s(literal 4097152081/1000000000000 binary64) (fma.f64 x (.f64 x #s(literal -9/625 binary64)) #s(literal -64009/1000000 binary64))) (/.f64 #s(literal 4097152081/1000000000000 binary64) (fma.f64 x (.f64 x #s(literal -9/625 binary64)) #s(literal -64009/1000000 binary64))) (.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 81/390625 binary64))) (fma.f64 x (.f64 x #s(literal -9/625 binary64)) #s(literal -64009/1000000 binary64))) (/.f64 #s(literal 4097152081/1000000000000 binary64) (fma.f64 x (*.f64 x #s(literal -9/625 binary64)) #s(literal -64009/1000000 binary64)))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 81/390625 binary64))) (fma.f64 x (.f64 x #s(literal -9/625 binary64)) #s(literal -64009/1000000 binary64))) (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 81/390625 binary64))) (fma.f64 x (.f64 x #s(literal -9/625 binary64)) #s(literal -64009/1000000 binary64)))) (.f64 (/.f64 #s(literal 4097152081/1000000000000 binary64) (fma.f64 x (.f64 x #s(literal -9/625 binary64)) #s(literal -64009/1000000 binary64))) (/.f64 #s(literal 4097152081/1000000000000 binary64) (fma.f64 x (.f64 x #s(literal -9/625 binary64)) #s(literal -64009/1000000 binary64))))) (+.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 81/390625 binary64))) (fma.f64 x (.f64 x #s(literal -9/625 binary64)) #s(literal -64009/1000000 binary64))) (/.f64 #s(literal 4097152081/1000000000000 binary64) (fma.f64 x (.f64 x #s(literal -9/625 binary64)) #s(literal -64009/1000000 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -9/625 binary64)) #s(literal 64009/1000000 binary64))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal -9/625 binary64)) #s(literal 64009/1000000 binary64)))
(.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -729/244140625 binary64)) #s(literal 262254607552729/1000000000000000000 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 81/390625 binary64)) #s(literal 4097152081/1000000000000 binary64)) (.f64 (*.f64 x x) #s(literal 576081/625000000 binary64)))))
(.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -729/244140625 binary64)) #s(literal 262254607552729/1000000000000000000 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4097152081/1000000000000 binary64) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 81/390625 binary64)) (.f64 (*.f64 x x) #s(literal 576081/625000000 binary64))))))
(.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -729/244140625 binary64)) #s(literal -262254607552729/1000000000000000000 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 81/390625 binary64)) #s(literal 4097152081/1000000000000 binary64)) (.f64 (*.f64 x x) #s(literal 576081/625000000 binary64))))))
(.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 81/390625 binary64)) #s(literal -4097152081/1000000000000 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -9/625 binary64)) #s(literal -64009/1000000 binary64))))
(.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 81/390625 binary64)) #s(literal -4097152081/1000000000000 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)))))
(.f64 #s(literal -1 binary64) (fma.f64 x (.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)))
(.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -729/244140625 binary64)) #s(literal 262254607552729/1000000000000000000 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 81/390625 binary64)) #s(literal 4097152081/1000000000000 binary64)) (.f64 (*.f64 x x) #s(literal 576081/625000000 binary64))))))
(.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 81/390625 binary64)) #s(literal -4097152081/1000000000000 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64))))
(.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -729/244140625 binary64)) #s(literal -262254607552729/1000000000000000000 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 81/390625 binary64)) #s(literal 4097152081/1000000000000 binary64)) (.f64 (*.f64 x x) #s(literal 576081/625000000 binary64)))))
(.f64 (+.f64 #s(literal 4097152081/1000000000000 binary64) (.f64 #s(literal -81/390625 binary64) (.f64 (.f64 x x) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 64009/1000000 binary64) (.f64 x (*.f64 x #s(literal 9/625 binary64))))))
(*.f64 x #s(literal 9/625 binary64))
(*.f64 #s(literal 9/625 binary64) x)

simplify244.0ms (2.9%)

Memory

-5.7MiB live, 458.6MiB allocated

Algorithm

1×	egg-herbie

Rules

5 490×	`accelerator-lowering-fma.f32`
5 490×	`accelerator-lowering-fma.f64`
2 976×	`-lowering-.f32`
2 976×	`-lowering-.f64`
1 814×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	108	832
1	285	828
2	668	824
3	1452	820
4	2972	816
5	5520	816
0	8126	732

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 156

Calls

Call 1

Inputs
1
(+ 1 (* -253/1000 x))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
-64009/1000000
(- (* 9/625 (pow x 2)) 64009/1000000)
(- (* 9/625 (pow x 2)) 64009/1000000)
(- (* 9/625 (pow x 2)) 64009/1000000)
(* 9/625 (pow x 2))
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))
(* 9/625 (pow x 2))
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))
(* 1000/253 x)
(* x (+ 1000/253 (* 120000/64009 x)))
(* x (+ 1000/253 (* x (+ 120000/64009 (* 14400000/16194277 x)))))
(* x (+ 1000/253 (* x (+ 120000/64009 (* x (+ 14400000/16194277 (* 1728000000/4097152081 x)))))))
-25/3
(* -1 (+ 25/3 (* 1265/72 (/ 1 x))))
(- (* -1 (/ (+ 1265/72 (* 64009/1728 (/ 1 x))) x)) 25/3)
(- (* -1 (/ (+ 64009/1728 (* 16194277/207360 (/ 1 x))) (pow x 2))) (+ 25/3 (* 1265/72 (/ 1 x))))
-25/3
(* -1 (+ 25/3 (* 1265/72 (/ 1 x))))
(- (* -1 (/ (+ 1265/72 (* 64009/1728 (/ 1 x))) x)) 25/3)
(- (* -1 (/ (+ 1265/72 (+ (* 64009/1728 (/ 1 x)) (/ 16194277/207360 (pow x 2)))) x)) 25/3)
253/1000
(+ 253/1000 (* -3/25 x))
(+ 253/1000 (* -3/25 x))
(+ 253/1000 (* -3/25 x))
(* -3/25 x)
(* x (- (* 253/1000 (/ 1 x)) 3/25))
(* x (- (* 253/1000 (/ 1 x)) 3/25))
(* x (- (* 253/1000 (/ 1 x)) 3/25))
(* -3/25 x)
(* -1 (* x (- 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* x (- 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* x (- 3/25 (* 253/1000 (/ 1 x)))))
(* -253/1000 x)
(* -253/1000 x)
(* -253/1000 x)
(* -253/1000 x)
(* -253/1000 x)
(* -253/1000 x)
(* -253/1000 x)
(* -253/1000 x)
(* -253/1000 x)
(* -253/1000 x)
(* -253/1000 x)
(* -253/1000 x)
1
(+ 1 (* -3/25 (pow x 2)))
(+ 1 (* -3/25 (pow x 2)))
(+ 1 (* -3/25 (pow x 2)))
(* -3/25 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 3/25))
(* (pow x 2) (- (/ 1 (pow x 2)) 3/25))
(* (pow x 2) (- (/ 1 (pow x 2)) 3/25))
(* -3/25 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 3/25))
(* (pow x 2) (- (/ 1 (pow x 2)) 3/25))
(* (pow x 2) (- (/ 1 (pow x 2)) 3/25))
(* -3/25 x)
(* -3/25 x)
(* -3/25 x)
(* -3/25 x)
(* -3/25 x)
(* -3/25 x)
(* -3/25 x)
(* -3/25 x)
(* -3/25 x)
(* -3/25 x)
(* -3/25 x)
(* -3/25 x)
1
(+ 1 (* -3/25 (pow x 2)))
(+ 1 (* -3/25 (pow x 2)))
(+ 1 (* -3/25 (pow x 2)))
(* -3/25 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 3/25))
(* (pow x 2) (- (/ 1 (pow x 2)) 3/25))
(* (pow x 2) (- (/ 1 (pow x 2)) 3/25))
(* -3/25 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 3/25))
(* (pow x 2) (- (/ 1 (pow x 2)) 3/25))
(* (pow x 2) (- (/ 1 (pow x 2)) 3/25))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
-64009/120000
(- (* 3/25 (pow x 2)) 64009/120000)
(- (* 3/25 (pow x 2)) 64009/120000)
(- (* 3/25 (pow x 2)) 64009/120000)
(* 3/25 (pow x 2))
(* (pow x 2) (- 3/25 (* 64009/120000 (/ 1 (pow x 2)))))
(* (pow x 2) (- 3/25 (* 64009/120000 (/ 1 (pow x 2)))))
(* (pow x 2) (- 3/25 (* 64009/120000 (/ 1 (pow x 2)))))
(* 3/25 (pow x 2))
(* (pow x 2) (- 3/25 (* 64009/120000 (/ 1 (pow x 2)))))
(* (pow x 2) (- 3/25 (* 64009/120000 (/ 1 (pow x 2)))))
(* (pow x 2) (- 3/25 (* 64009/120000 (/ 1 (pow x 2)))))
184009/120000
(+ 184009/120000 (* -3/25 (pow x 2)))
(+ 184009/120000 (* -3/25 (pow x 2)))
(+ 184009/120000 (* -3/25 (pow x 2)))
(* -3/25 (pow x 2))
(* (pow x 2) (- (* 184009/120000 (/ 1 (pow x 2))) 3/25))
(* (pow x 2) (- (* 184009/120000 (/ 1 (pow x 2))) 3/25))
(* (pow x 2) (- (* 184009/120000 (/ 1 (pow x 2))) 3/25))
(* -3/25 (pow x 2))
(* (pow x 2) (- (* 184009/120000 (/ 1 (pow x 2))) 3/25))
(* (pow x 2) (- (* 184009/120000 (/ 1 (pow x 2))) 3/25))
(* (pow x 2) (- (* 184009/120000 (/ 1 (pow x 2))) 3/25))
64009/1000000
(+ 64009/1000000 (* -9/625 (pow x 2)))
(+ 64009/1000000 (* -9/625 (pow x 2)))
(+ 64009/1000000 (* -9/625 (pow x 2)))
(* -9/625 (pow x 2))
(* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))
(* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))
(* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))
(* -9/625 (pow x 2))
(* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))
(* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))
(* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))
(* 9/625 x)
(* 9/625 x)
(* 9/625 x)
(* 9/625 x)
(* 9/625 x)
(* 9/625 x)
(* 9/625 x)
(* 9/625 x)
(* 9/625 x)
(* 9/625 x)
(* 9/625 x)
(* 9/625 x)

Outputs
1
#s(literal 1 binary64)
(+ 1 (* -253/1000 x))
(fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(* -3/25 (pow x 2))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 0 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(* -3/25 (pow x 2))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 0 binary64))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
-64009/1000000
#s(literal -64009/1000000 binary64)
(- (* 9/625 (pow x 2)) 64009/1000000)
(fma.f64 x (fma.f64 x #s(literal 9/625 binary64) #s(literal 0 binary64)) #s(literal -64009/1000000 binary64))
(- (* 9/625 (pow x 2)) 64009/1000000)
(fma.f64 x (fma.f64 x #s(literal 9/625 binary64) #s(literal 0 binary64)) #s(literal -64009/1000000 binary64))
(- (* 9/625 (pow x 2)) 64009/1000000)
(fma.f64 x (fma.f64 x #s(literal 9/625 binary64) #s(literal 0 binary64)) #s(literal -64009/1000000 binary64))
(* 9/625 (pow x 2))
(*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 9/625 binary64))
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))
(fma.f64 x (fma.f64 x #s(literal 9/625 binary64) #s(literal 0 binary64)) #s(literal -64009/1000000 binary64))
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))
(fma.f64 x (fma.f64 x #s(literal 9/625 binary64) #s(literal 0 binary64)) #s(literal -64009/1000000 binary64))
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))
(fma.f64 x (fma.f64 x #s(literal 9/625 binary64) #s(literal 0 binary64)) #s(literal -64009/1000000 binary64))
(* 9/625 (pow x 2))
(*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 9/625 binary64))
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))
(fma.f64 x (fma.f64 x #s(literal 9/625 binary64) #s(literal 0 binary64)) #s(literal -64009/1000000 binary64))
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))
(fma.f64 x (fma.f64 x #s(literal 9/625 binary64) #s(literal 0 binary64)) #s(literal -64009/1000000 binary64))
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))
(fma.f64 x (fma.f64 x #s(literal 9/625 binary64) #s(literal 0 binary64)) #s(literal -64009/1000000 binary64))
(* 1000/253 x)
(*.f64 x #s(literal 1000/253 binary64))
(* x (+ 1000/253 (* 120000/64009 x)))
(*.f64 x (fma.f64 x #s(literal 120000/64009 binary64) #s(literal 1000/253 binary64)))
(* x (+ 1000/253 (* x (+ 120000/64009 (* 14400000/16194277 x)))))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 14400000/16194277 binary64) #s(literal 120000/64009 binary64)) #s(literal 1000/253 binary64)))
(* x (+ 1000/253 (* x (+ 120000/64009 (* x (+ 14400000/16194277 (* 1728000000/4097152081 x)))))))
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1728000000/4097152081 binary64) #s(literal 14400000/16194277 binary64)) #s(literal 120000/64009 binary64)) #s(literal 1000/253 binary64)))
-25/3
#s(literal -25/3 binary64)
(* -1 (+ 25/3 (* 1265/72 (/ 1 x))))
(+.f64 #s(literal -25/3 binary64) (/.f64 #s(literal -1265/72 binary64) x))
(- (* -1 (/ (+ 1265/72 (* 64009/1728 (/ 1 x))) x)) 25/3)
(+.f64 (/.f64 (+.f64 #s(literal -1265/72 binary64) (/.f64 #s(literal -64009/1728 binary64) x)) x) #s(literal -25/3 binary64))
(- (* -1 (/ (+ 64009/1728 (* 16194277/207360 (/ 1 x))) (pow x 2))) (+ 25/3 (* 1265/72 (/ 1 x))))
(+.f64 #s(literal -25/3 binary64) (/.f64 (+.f64 #s(literal -1265/72 binary64) (/.f64 (+.f64 #s(literal -64009/1728 binary64) (/.f64 #s(literal -16194277/207360 binary64) x)) x)) x))
-25/3
#s(literal -25/3 binary64)
(* -1 (+ 25/3 (* 1265/72 (/ 1 x))))
(+.f64 #s(literal -25/3 binary64) (/.f64 #s(literal -1265/72 binary64) x))
(- (* -1 (/ (+ 1265/72 (* 64009/1728 (/ 1 x))) x)) 25/3)
(+.f64 (/.f64 (+.f64 #s(literal -1265/72 binary64) (/.f64 #s(literal -64009/1728 binary64) x)) x) #s(literal -25/3 binary64))
(- (* -1 (/ (+ 1265/72 (+ (* 64009/1728 (/ 1 x)) (/ 16194277/207360 (pow x 2)))) x)) 25/3)
(+.f64 #s(literal -25/3 binary64) (/.f64 (+.f64 #s(literal -1265/72 binary64) (/.f64 (+.f64 #s(literal -64009/1728 binary64) (/.f64 #s(literal -16194277/207360 binary64) x)) x)) x))
253/1000
#s(literal 253/1000 binary64)
(+ 253/1000 (* -3/25 x))
(fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))
(+ 253/1000 (* -3/25 x))
(fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))
(+ 253/1000 (* -3/25 x))
(fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))
(* -3/25 x)
(fma.f64 x #s(literal -3/25 binary64) #s(literal 0 binary64))
(* x (- (* 253/1000 (/ 1 x)) 3/25))
(fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))
(* x (- (* 253/1000 (/ 1 x)) 3/25))
(fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))
(* x (- (* 253/1000 (/ 1 x)) 3/25))
(fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))
(* -3/25 x)
(fma.f64 x #s(literal -3/25 binary64) #s(literal 0 binary64))
(* -1 (* x (- 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))
(* -1 (* x (- 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))
(* -1 (* x (- 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))
(* -253/1000 x)
(fma.f64 x #s(literal -253/1000 binary64) #s(literal 0 binary64))
(* -253/1000 x)
(fma.f64 x #s(literal -253/1000 binary64) #s(literal 0 binary64))
(* -253/1000 x)
(fma.f64 x #s(literal -253/1000 binary64) #s(literal 0 binary64))
(* -253/1000 x)
(fma.f64 x #s(literal -253/1000 binary64) #s(literal 0 binary64))
(* -253/1000 x)
(fma.f64 x #s(literal -253/1000 binary64) #s(literal 0 binary64))
(* -253/1000 x)
(fma.f64 x #s(literal -253/1000 binary64) #s(literal 0 binary64))
(* -253/1000 x)
(fma.f64 x #s(literal -253/1000 binary64) #s(literal 0 binary64))
(* -253/1000 x)
(fma.f64 x #s(literal -253/1000 binary64) #s(literal 0 binary64))
(* -253/1000 x)
(fma.f64 x #s(literal -253/1000 binary64) #s(literal 0 binary64))
(* -253/1000 x)
(fma.f64 x #s(literal -253/1000 binary64) #s(literal 0 binary64))
(* -253/1000 x)
(fma.f64 x #s(literal -253/1000 binary64) #s(literal 0 binary64))
(* -253/1000 x)
(fma.f64 x #s(literal -253/1000 binary64) #s(literal 0 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -3/25 (pow x 2)))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 0 binary64)) #s(literal 1 binary64))
(+ 1 (* -3/25 (pow x 2)))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 0 binary64)) #s(literal 1 binary64))
(+ 1 (* -3/25 (pow x 2)))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 0 binary64)) #s(literal 1 binary64))
(* -3/25 (pow x 2))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) 3/25))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 0 binary64)) #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) 3/25))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 0 binary64)) #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) 3/25))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 0 binary64)) #s(literal 1 binary64))
(* -3/25 (pow x 2))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) 3/25))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 0 binary64)) #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) 3/25))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 0 binary64)) #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) 3/25))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 0 binary64)) #s(literal 1 binary64))
(* -3/25 x)
(fma.f64 x #s(literal -3/25 binary64) #s(literal 0 binary64))
(* -3/25 x)
(fma.f64 x #s(literal -3/25 binary64) #s(literal 0 binary64))
(* -3/25 x)
(fma.f64 x #s(literal -3/25 binary64) #s(literal 0 binary64))
(* -3/25 x)
(fma.f64 x #s(literal -3/25 binary64) #s(literal 0 binary64))
(* -3/25 x)
(fma.f64 x #s(literal -3/25 binary64) #s(literal 0 binary64))
(* -3/25 x)
(fma.f64 x #s(literal -3/25 binary64) #s(literal 0 binary64))
(* -3/25 x)
(fma.f64 x #s(literal -3/25 binary64) #s(literal 0 binary64))
(* -3/25 x)
(fma.f64 x #s(literal -3/25 binary64) #s(literal 0 binary64))
(* -3/25 x)
(fma.f64 x #s(literal -3/25 binary64) #s(literal 0 binary64))
(* -3/25 x)
(fma.f64 x #s(literal -3/25 binary64) #s(literal 0 binary64))
(* -3/25 x)
(fma.f64 x #s(literal -3/25 binary64) #s(literal 0 binary64))
(* -3/25 x)
(fma.f64 x #s(literal -3/25 binary64) #s(literal 0 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -3/25 (pow x 2)))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 0 binary64)) #s(literal 1 binary64))
(+ 1 (* -3/25 (pow x 2)))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 0 binary64)) #s(literal 1 binary64))
(+ 1 (* -3/25 (pow x 2)))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 0 binary64)) #s(literal 1 binary64))
(* -3/25 (pow x 2))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) 3/25))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 0 binary64)) #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) 3/25))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 0 binary64)) #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) 3/25))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 0 binary64)) #s(literal 1 binary64))
(* -3/25 (pow x 2))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) 3/25))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 0 binary64)) #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) 3/25))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 0 binary64)) #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) 3/25))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 0 binary64)) #s(literal 1 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
-64009/120000
#s(literal -64009/120000 binary64)
(- (* 3/25 (pow x 2)) 64009/120000)
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 3/25 binary64) #s(literal -64009/120000 binary64))
(- (* 3/25 (pow x 2)) 64009/120000)
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 3/25 binary64) #s(literal -64009/120000 binary64))
(- (* 3/25 (pow x 2)) 64009/120000)
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 3/25 binary64) #s(literal -64009/120000 binary64))
(* 3/25 (pow x 2))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 3/25 binary64) #s(literal 0 binary64))
(* (pow x 2) (- 3/25 (* 64009/120000 (/ 1 (pow x 2)))))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 3/25 binary64) #s(literal -64009/120000 binary64))
(* (pow x 2) (- 3/25 (* 64009/120000 (/ 1 (pow x 2)))))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 3/25 binary64) #s(literal -64009/120000 binary64))
(* (pow x 2) (- 3/25 (* 64009/120000 (/ 1 (pow x 2)))))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 3/25 binary64) #s(literal -64009/120000 binary64))
(* 3/25 (pow x 2))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 3/25 binary64) #s(literal 0 binary64))
(* (pow x 2) (- 3/25 (* 64009/120000 (/ 1 (pow x 2)))))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 3/25 binary64) #s(literal -64009/120000 binary64))
(* (pow x 2) (- 3/25 (* 64009/120000 (/ 1 (pow x 2)))))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 3/25 binary64) #s(literal -64009/120000 binary64))
(* (pow x 2) (- 3/25 (* 64009/120000 (/ 1 (pow x 2)))))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 3/25 binary64) #s(literal -64009/120000 binary64))
184009/120000
#s(literal 184009/120000 binary64)
(+ 184009/120000 (* -3/25 (pow x 2)))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 0 binary64)) #s(literal 184009/120000 binary64))
(+ 184009/120000 (* -3/25 (pow x 2)))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 0 binary64)) #s(literal 184009/120000 binary64))
(+ 184009/120000 (* -3/25 (pow x 2)))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 0 binary64)) #s(literal 184009/120000 binary64))
(* -3/25 (pow x 2))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow x 2) (- (* 184009/120000 (/ 1 (pow x 2))) 3/25))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 0 binary64)) #s(literal 184009/120000 binary64))
(* (pow x 2) (- (* 184009/120000 (/ 1 (pow x 2))) 3/25))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 0 binary64)) #s(literal 184009/120000 binary64))
(* (pow x 2) (- (* 184009/120000 (/ 1 (pow x 2))) 3/25))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 0 binary64)) #s(literal 184009/120000 binary64))
(* -3/25 (pow x 2))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow x 2) (- (* 184009/120000 (/ 1 (pow x 2))) 3/25))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 0 binary64)) #s(literal 184009/120000 binary64))
(* (pow x 2) (- (* 184009/120000 (/ 1 (pow x 2))) 3/25))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 0 binary64)) #s(literal 184009/120000 binary64))
(* (pow x 2) (- (* 184009/120000 (/ 1 (pow x 2))) 3/25))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 0 binary64)) #s(literal 184009/120000 binary64))
64009/1000000
#s(literal 64009/1000000 binary64)
(+ 64009/1000000 (* -9/625 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -9/625 binary64)) #s(literal 64009/1000000 binary64))
(+ 64009/1000000 (* -9/625 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -9/625 binary64)) #s(literal 64009/1000000 binary64))
(+ 64009/1000000 (* -9/625 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -9/625 binary64)) #s(literal 64009/1000000 binary64))
(* -9/625 (pow x 2))
(*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -9/625 binary64))
(* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))
(fma.f64 x (*.f64 x #s(literal -9/625 binary64)) #s(literal 64009/1000000 binary64))
(* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))
(fma.f64 x (*.f64 x #s(literal -9/625 binary64)) #s(literal 64009/1000000 binary64))
(* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))
(fma.f64 x (*.f64 x #s(literal -9/625 binary64)) #s(literal 64009/1000000 binary64))
(* -9/625 (pow x 2))
(*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -9/625 binary64))
(* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))
(fma.f64 x (*.f64 x #s(literal -9/625 binary64)) #s(literal 64009/1000000 binary64))
(* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))
(fma.f64 x (*.f64 x #s(literal -9/625 binary64)) #s(literal 64009/1000000 binary64))
(* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))
(fma.f64 x (*.f64 x #s(literal -9/625 binary64)) #s(literal 64009/1000000 binary64))
(* 9/625 x)
(fma.f64 x #s(literal 9/625 binary64) #s(literal 0 binary64))
(* 9/625 x)
(fma.f64 x #s(literal 9/625 binary64) #s(literal 0 binary64))
(* 9/625 x)
(fma.f64 x #s(literal 9/625 binary64) #s(literal 0 binary64))
(* 9/625 x)
(fma.f64 x #s(literal 9/625 binary64) #s(literal 0 binary64))
(* 9/625 x)
(fma.f64 x #s(literal 9/625 binary64) #s(literal 0 binary64))
(* 9/625 x)
(fma.f64 x #s(literal 9/625 binary64) #s(literal 0 binary64))
(* 9/625 x)
(fma.f64 x #s(literal 9/625 binary64) #s(literal 0 binary64))
(* 9/625 x)
(fma.f64 x #s(literal 9/625 binary64) #s(literal 0 binary64))
(* 9/625 x)
(fma.f64 x #s(literal 9/625 binary64) #s(literal 0 binary64))
(* 9/625 x)
(fma.f64 x #s(literal 9/625 binary64) #s(literal 0 binary64))
(* 9/625 x)
(fma.f64 x #s(literal 9/625 binary64) #s(literal 0 binary64))
(* 9/625 x)
(fma.f64 x #s(literal 9/625 binary64) #s(literal 0 binary64))

eval112.0ms (1.3%)

Memory: 0.3MiB live, 226.6MiB allocated
Compiler: Compiled 18 084 to 1 681 computations (90.7% saved)

prune80.0ms (1%)

Memory

24.2MiB live, 224.1MiB allocated

Pruning

9 alts after pruning (2 fresh and 7 done)

	Pruned	Kept	Total
New	812	2	814
Fresh	0	0	0
Picked	2	3	5
Done	0	4	4
Total	814	9	823

Accuracy

100.0%

Counts

823 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	62.9%	(fma.f64 (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) #s(literal -25/3 binary64) #s(literal 1 binary64))
✓	99.9%	(fma.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
✓	99.9%	(fma.f64 (*.f64 x x) #s(literal -3/25 binary64) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)))
✓	98.5%	(fma.f64 (*.f64 x x) #s(literal -3/25 binary64) #s(literal 1 binary64))
✓	98.5%	(fma.f64 (*.f64 x #s(literal -3/25 binary64)) x #s(literal 1 binary64))
✓	46.8%	(fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64))
✓	62.9%	(-.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64)) #s(literal -25/3 binary64)))
	3.5%	(*.f64 x #s(literal -253/1000 binary64))
✓	45.2%	#s(literal 1 binary64)

Compiler

Compiled 290 to 128 computations (55.9% saved)

regimes22.0ms (0.3%)

Memory

-12.7MiB live, 65.0MiB allocated

Counts

23 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
(*.f64 x #s(literal -253/1000 binary64))
(fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))
(fma.f64 x #s(literal -253/1000 binary64) #s(literal 0 binary64))
(fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 x #s(literal -3/25 binary64)) x #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal -3/25 binary64) #s(literal 1 binary64))
(fma.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))
(fma.f64 (*.f64 x x) #s(literal -3/25 binary64) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)))
(fma.f64 (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) #s(literal -25/3 binary64) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64)) #s(literal -25/3 binary64)))
(-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 25/3 binary64) x)))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 25/3 binary64) (*.f64 x x))))
(-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))))
(fma.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 9/625 binary64) #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) x #s(literal 1 binary64))
(fma.f64 (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (/.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (.f64 x (/.f64 (fma.f64 (.f64 x #s(literal 9/625 binary64)) x #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)))))
(-.f64 #s(literal 1 binary64) (.f64 x (/.f64 (fma.f64 (.f64 x x) #s(literal 9/625 binary64) #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)))))
(-.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64)) (/.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)))))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)) (.f64 x (.f64 (*.f64 x x) #s(literal -9/625 binary64))))))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)) (.f64 x (fma.f64 (.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64))))))
(-.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 27/15625 binary64) #s(literal 16194277/1000000000 binary64)) (/.f64 x (fma.f64 x (-.f64 (.f64 x #s(literal 9/625 binary64)) #s(literal 759/25000 binary64)) #s(literal 64009/1000000 binary64)))))

Outputs
(fma.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 9/625 binary64) #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) x #s(literal 1 binary64))

Calls

3 calls:

8.0ms	(.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))
7.0ms	x
6.0ms	(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))`
99.9%	1	`(.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))`

Compiler

Compiled 20 to 15 computations (25% saved)

regimes19.0ms (0.2%)

Memory

-23.3MiB live, 40.3MiB allocated

Counts

15 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
(*.f64 x #s(literal -253/1000 binary64))
(fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))
(fma.f64 x #s(literal -253/1000 binary64) #s(literal 0 binary64))
(fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 x #s(literal -3/25 binary64)) x #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal -3/25 binary64) #s(literal 1 binary64))
(fma.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))
(fma.f64 (*.f64 x x) #s(literal -3/25 binary64) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)))
(fma.f64 (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) #s(literal -25/3 binary64) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64)) #s(literal -25/3 binary64)))
(-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 25/3 binary64) x)))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 25/3 binary64) (*.f64 x x))))
(-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))))

Outputs
(fma.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) x #s(literal 1 binary64))

Calls

3 calls:

9.0ms	x
5.0ms	(.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))
4.0ms	(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))`
99.9%	1	`(.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))`

Compiler

Compiled 20 to 15 computations (25% saved)

regimes10.0ms (0.1%)

Memory

-7.7MiB live, 31.8MiB allocated

Counts

7 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
(*.f64 x #s(literal -253/1000 binary64))
(fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))
(fma.f64 x #s(literal -253/1000 binary64) #s(literal 0 binary64))
(fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 x #s(literal -3/25 binary64)) x #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal -3/25 binary64) #s(literal 1 binary64))

Outputs
(fma.f64 (*.f64 x #s(literal -3/25 binary64)) x #s(literal 1 binary64))

Calls

3 calls:

4.0ms	x
3.0ms	(.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))
3.0ms	(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))

Results

Accuracy	Segments	Branch
98.5%	1	`x`
98.5%	1	`(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))`
98.5%	1	`(.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))`

Compiler

Compiled 20 to 15 computations (25% saved)

regimes7.0ms (0.1%)

Memory

18.4MiB live, 18.4MiB allocated

Counts

5 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
(*.f64 x #s(literal -253/1000 binary64))
(fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))
(fma.f64 x #s(literal -253/1000 binary64) #s(literal 0 binary64))
(fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64))

Outputs
(fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))

Calls

3 calls:

2.0ms	(.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))
2.0ms	x
2.0ms	(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))

Results

Accuracy	Segments	Branch
46.8%	1	`x`
46.8%	1	`(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))`
46.8%	1	`(.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))`

Compiler

Compiled 20 to 15 computations (25% saved)

regimes5.0ms (0.1%)

Memory

9.4MiB live, 9.4MiB allocated

Accuracy

Total -27.6b remaining (-78.7%)

Threshold costs -27.6b (-78.7%)

Counts

2 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
(*.f64 x #s(literal -253/1000 binary64))

Outputs
#s(literal 1 binary64)

Calls

3 calls:

2.0ms	(.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))
1.0ms	x
1.0ms	(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))

Results

Accuracy	Segments	Branch
45.2%	1	`(.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))`
45.2%	1	`x`
45.2%	1	`(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))`

Compiler

Compiled 20 to 15 computations (25% saved)

simplify8.0ms (0.1%)

Memory

-26.6MiB live, 12.5MiB allocated

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64`
2×	`1-exp_binary64`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	32
1	21	32

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 9/625 binary64) #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) x #s(literal 1 binary64))
(fma.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(fma.f64 (*.f64 x #s(literal -3/25 binary64)) x #s(literal 1 binary64))
(fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))
#s(literal 1 binary64)

Outputs
(fma.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 9/625 binary64) #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) x #s(literal 1 binary64))
(fma.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(fma.f64 (*.f64 x #s(literal -3/25 binary64)) x #s(literal 1 binary64))
(fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))
#s(literal 1 binary64)

soundness717.0ms (8.5%)

Memory

37.6MiB live, 422.9MiB allocated

Rules

10 052×	`accelerator-lowering-fma.f32`
10 052×	`accelerator-lowering-fma.f64`
5 044×	`accelerator-lowering-fma.f32`
5 044×	`accelerator-lowering-fma.f64`
4 504×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	140	1338
1	384	1314
2	944	1290
3	2263	1290
4	5328	1290
0	8132	1119
0	35	254
1	93	254
2	217	248
3	501	248
4	1016	248
5	2377	248
6	4088	248
7	5191	248
8	6484	248
9	7517	248
0	8007	215
0	8	24
1	51	24
2	425	24
3	4315	24
0	8268	20
0	33	183
1	222	143
2	2067	143
0	8436	122

Stop Event

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

Compiler

Compiled 86 to 57 computations (33.7% saved)

preprocess39.0ms (0.5%)

Memory: 3.9MiB live, 79.7MiB allocated
Compiler: Compiled 86 to 50 computations (41.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

sample1.6s (19.3%)

preprocess290.0ms (3.5%)

explain206.0ms (2.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify57.0ms (0.7%)

localize66.0ms (0.8%)

series4.0ms (0%)

rewrite571.0ms (6.8%)

simplify257.0ms (3.1%)

eval44.0ms (0.5%)

prune49.0ms (0.6%)

simplify239.0ms (2.8%)

localize130.0ms (1.6%)

series11.0ms (0.1%)

rewrite344.0ms (4.1%)

simplify303.0ms (3.6%)

eval117.0ms (1.4%)

prune123.0ms (1.5%)

simplify355.0ms (4.2%)

localize155.0ms (1.9%)

series6.0ms (0.1%)

rewrite553.0ms (6.6%)

simplify694.0ms (8.3%)

eval125.0ms (1.5%)

prune100.0ms (1.2%)

simplify188.0ms (2.2%)

localize122.0ms (1.5%)

series6.0ms (0.1%)

rewrite398.0ms (4.7%)

simplify244.0ms (2.9%)

eval112.0ms (1.3%)

prune80.0ms (1%)

regimes22.0ms (0.3%)

regimes19.0ms (0.2%)

regimes10.0ms (0.1%)

regimes7.0ms (0.1%)

regimes5.0ms (0.1%)

simplify8.0ms (0.1%)

soundness717.0ms (8.5%)

preprocess39.0ms (0.5%)

end0.0ms (0%)

Profiling