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)

sample1.0s (12.7%)

Memory

58.9MiB live, 1 427.9MiB allocated

Samples

672.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 514.0ms

const: 297.0ms (57.7% of total)

ival-mult: 115.0ms (22.4% of total)

ival-add: 47.0ms (9.1% of total)

ival-sub: 42.0ms (8.2% of total)

ival-true: 6.0ms (1.2% of total)

exact: 5.0ms (1% of total)

ival-assert: 3.0ms (0.6% of total)

Bogosity

preprocess62.0ms (0.7%)

Memory

-34.3MiB live, 65.1MiB 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)

explain109.0ms (1.3%)

Memory

28.4MiB live, 186.1MiB 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

49.0ms

512×

valid

Compiler

Compiled 80 to 36 computations (55% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

const: 13.0ms (41.9% of total)

ival-mult: 10.0ms (32.2% of total)

ival-add: 5.0ms (16.1% of total)

ival-sub: 2.0ms (6.4% of total)

ival-true: 1.0ms (3.2% of total)

exact: 0.0ms (0% of total)

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

eval4.0ms (0%)

Memory: -37.1MiB live, 0.4MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(-.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)

simplify31.0ms (0.4%)

Memory

9.8MiB live, 46.8MiB 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)

localize56.0ms (0.7%)

Memory

-4.1MiB live, 38.7MiB 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	99.8%	(.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))
✓	accuracy	99.6%	(*.f64 x #s(literal 3/25 binary64))

Samples

47.0ms

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 (50.4% of total)

ival-mult: 3.0ms (25.2% of total)

ival-sub: 1.0ms (8.4% of total)

ival-add: 1.0ms (8.4% of total)

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

exact: 0.0ms (0% of total)

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

series3.0ms (0%)

Memory

2.2MiB live, 2.2MiB 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	@	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	@	-inf	(* x 3/25)
0.0ms	x	@	0	(- 1 (* x (+ 253/1000 (* x 3/25))))

rewrite372.0ms (4.5%)

Memory

25.0MiB live, 567.9MiB 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)))

simplify332.0ms (4%)

Memory

5.9MiB live, 362.1MiB 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))

eval54.0ms (0.7%)

Memory: -40.1MiB live, 122.1MiB allocated
Compiler: Compiled 9 025 to 942 computations (89.6% saved)

prune76.0ms (0.9%)

Memory

-4.5MiB live, 114.8MiB allocated

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	358	7	365
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	358	8	366

Accuracy

100.0%

Counts

366 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(fma.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
▶	99.8%	(fma.f64 (*.f64 x x) #s(literal -3/25 binary64) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)))
▶	99.8%	(fma.f64 x #s(literal -253/1000 binary64) (fma.f64 x (*.f64 x #s(literal -3/25 binary64)) #s(literal 1 binary64)))
▶	44.8%	(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)))))
	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 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))
▶	42.6%	#s(literal 1 binary64)

Compiler

Compiled 134 to 100 computations (25.4% saved)

simplify6.0ms (0.1%)

Memory

7.7MiB live, 7.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 9 expressions of interest:

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

Rules

44×	`accelerator-lowering-fma.f32`
44×	`accelerator-lowering-fma.f64`
28×	`+-lowering-+.f64`
28×	`+-lowering-+.f32`
22×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	77
1	37	71
2	37	71
0	37	61

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize82.0ms (1%)

Memory

-4.1MiB live, 113.3MiB allocated

Localize:

Found 9 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 x #s(literal -253/1000 binary64) (fma.f64 x (*.f64 x #s(literal -3/25 binary64)) #s(literal 1 binary64)))
✓	accuracy	99.9%	(fma.f64 x (*.f64 x #s(literal -3/25 binary64)) #s(literal 1 binary64))
✓	accuracy	99.6%	(*.f64 x #s(literal -3/25 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	99.8%	(fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))
✓	accuracy	99.9%	(fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.9%	(fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64))
✓	accuracy	99.8%	(fma.f64 (*.f64 x x) #s(literal -3/25 binary64) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)))

Samples

41.0ms

256×

valid

Compiler

Compiled 67 to 20 computations (70.1% saved)

Precisions

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

ival-mult: 15.0ms (52.4% of total)

ival-add: 7.0ms (24.5% of total)

const: 6.0ms (21% 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

6.6MiB live, 6.6MiB allocated

Counts

9 → 108

Calls

Call 1

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

Calls

27 calls:

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

rewrite639.0ms (7.7%)

Memory

2.7MiB live, 991.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

17 626×	`accelerator-lowering-fma.f32`
17 626×	`accelerator-lowering-fma.f64`
5 196×	`-lowering-.f32`
5 196×	`-lowering-.f64`
3 190×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	61
1	126	55
2	938	55
0	8292	45

Stop Event

1×	iter limit
1×	node limit

Counts

9 → 677

Calls

Call 1

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

Outputs
(+.f64 (.f64 x #s(literal -253/1000 binary64)) (fma.f64 x (.f64 x #s(literal -3/25 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 (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)) (.f64 (.f64 x x) #s(literal -3/25 binary64)))
(+.f64 (*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 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 (.f64 x #s(literal -3/25 binary64)) #s(literal 1 binary64)) (.f64 x #s(literal -253/1000 binary64)))
(+.f64 (/.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 9/625 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 -253/1000 binary64) #s(literal 1 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)))))
(+.f64 (/.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))) (neg.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 (.f64 x (.f64 x #s(literal 64009/1000000 binary64))) (fma.f64 x (+.f64 #s(literal -253/1000 binary64) (.f64 x #s(literal 3/25 binary64))) #s(literal -1 binary64))) (neg.f64 (/.f64 (.f64 (fma.f64 x (.f64 x #s(literal -3/25 binary64)) #s(literal 1 binary64)) (fma.f64 x (.f64 x #s(literal -3/25 binary64)) #s(literal 1 binary64))) (fma.f64 x (+.f64 #s(literal -253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))) #s(literal -1 binary64)))))
(-.f64 (/.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 9/625 binary64)))) (fma.f64 x (.f64 x #s(literal -3/25 binary64)) #s(literal -1 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal -3/25 binary64)) #s(literal -1 binary64))) (*.f64 x #s(literal -253/1000 binary64))))
(-.f64 (/.f64 (.f64 x (.f64 x #s(literal 64009/1000000 binary64))) (fma.f64 x #s(literal -253/1000 binary64) #s(literal -1 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -253/1000 binary64) #s(literal -1 binary64))) (.f64 (.f64 x x) #s(literal -3/25 binary64))))
(-.f64 (/.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 9/625 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 -253/1000 binary64) #s(literal 1 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))))
(-.f64 (/.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 #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 x (.f64 x #s(literal 64009/1000000 binary64))) (fma.f64 x (+.f64 #s(literal -253/1000 binary64) (.f64 x #s(literal 3/25 binary64))) #s(literal -1 binary64))) (/.f64 (.f64 (fma.f64 x (.f64 x #s(literal -3/25 binary64)) #s(literal 1 binary64)) (fma.f64 x (.f64 x #s(literal -3/25 binary64)) #s(literal 1 binary64))) (fma.f64 x (+.f64 #s(literal -253/1000 binary64) (*.f64 x #s(literal 3/25 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 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 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))))))
(-.f64 (/.f64 (.f64 (fma.f64 x (.f64 x #s(literal -3/25 binary64)) #s(literal 1 binary64)) (fma.f64 x (.f64 x #s(literal -3/25 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 (.f64 x #s(literal 64009/1000000 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 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))) (/.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 9/625 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))))))
(-.f64 (fma.f64 x #s(literal -253/1000 binary64) (/.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 9/625 binary64)))) (fma.f64 x (.f64 x #s(literal -3/25 binary64)) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal -3/25 binary64)) #s(literal -1 binary64))))
(-.f64 (fma.f64 x (.f64 x #s(literal -3/25 binary64)) (/.f64 (.f64 x (*.f64 x #s(literal 64009/1000000 binary64))) (fma.f64 x #s(literal -253/1000 binary64) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x #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 (*.f64 x x) #s(literal -3/25 binary64) (fma.f64 x #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 #s(literal -253/1000 binary64) x (fma.f64 x (*.f64 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 x (.f64 x #s(literal -3/25 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) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)) (.f64 (.f64 x x) #s(literal -3/25 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 (.f64 x x) #s(literal -3/25 binary64)) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal -3/25 binary64)) #s(literal 1 binary64)) (.f64 x #s(literal -253/1000 binary64)))
(fma.f64 (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)) #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -3/25 binary64)))
(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 #s(literal 1 binary64) (fma.f64 x #s(literal -253/1000 binary64) #s(literal -1 binary64)))) (.f64 (*.f64 x x) #s(literal -3/25 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 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) x #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 (.f64 (.f64 x x) #s(literal -3/25 binary64)) #s(literal 1 binary64) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)))
(fma.f64 (fma.f64 x (.f64 x #s(literal -3/25 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64) (.f64 x #s(literal -253/1000 binary64)))
(fma.f64 (fma.f64 x (.f64 x #s(literal -3/25 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 x (.f64 x #s(literal -3/25 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal -3/25 binary64)) #s(literal -1 binary64)))) (*.f64 x #s(literal -253/1000 binary64)))
(fma.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -27/15625 binary64)) (.f64 x (.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 9/625 binary64))) #s(literal 1 binary64)) (.f64 (.f64 x x) #s(literal 3/25 binary64)))) (*.f64 x #s(literal -253/1000 binary64)))
(fma.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -27/15625 binary64)) (.f64 x (.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 9/625 binary64)) #s(literal -3/25 binary64))))) (.f64 x #s(literal -253/1000 binary64)))
(fma.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -27/15625 binary64)) (.f64 x (.f64 x x)) #s(literal 1 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 9/625 binary64))) #s(literal 1 binary64)) (.f64 (.f64 x x) #s(literal 3/25 binary64)))) #s(literal 1 binary64)) (.f64 x #s(literal -253/1000 binary64)))
(fma.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 9/625 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 -253/1000 binary64) #s(literal 1 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)))))
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(.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -27/15625 binary64)) (.f64 x (.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 9/625 binary64))) #s(literal 1 binary64)) (.f64 (*.f64 x x) #s(literal 3/25 binary64)))))
(.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -27/15625 binary64)) (.f64 x (.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 9/625 binary64)) #s(literal -3/25 binary64))))))
(.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -27/15625 binary64)) (.f64 x (.f64 x x)) #s(literal 1 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 9/625 binary64))) #s(literal 1 binary64)) (.f64 (.f64 x x) #s(literal 3/25 binary64)))) #s(literal 1 binary64)))
(.f64 (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 9/625 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -3/25 binary64)) #s(literal -1 binary64))))
(.f64 (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 9/625 binary64))) #s(literal -1 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal -3/25 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)))
(.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -27/15625 binary64)) (.f64 x (.f64 x x)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 9/625 binary64))) #s(literal 1 binary64)) (.f64 (*.f64 x x) #s(literal 3/25 binary64))))))
(.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 9/625 binary64))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 3/25 binary64)) #s(literal 1 binary64))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -9/625 binary64) (.f64 x (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 3/25 binary64)))))
(.f64 (.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 9/625 binary64))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal -3/25 binary64)) #s(literal -1 binary64))))
(.f64 (.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -27/15625 binary64)) (.f64 x (.f64 x x)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 9/625 binary64))) #s(literal 1 binary64)) (.f64 (.f64 x x) #s(literal 3/25 binary64)))))
(*.f64 x #s(literal -3/25 binary64))
(*.f64 #s(literal -3/25 binary64) x)
(.f64 (.f64 x #s(literal -3/25 binary64)) #s(literal 1 binary64))

simplify297.0ms (3.6%)

Memory

19.8MiB live, 450.3MiB allocated

Algorithm

1×	egg-herbie

Rules

5 380×	`accelerator-lowering-fma.f32`
5 380×	`accelerator-lowering-fma.f64`
3 770×	`-lowering-.f32`
3 770×	`-lowering-.f64`
1 538×	`cube-prod`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	572
1	100	572
2	296	554
3	644	554
4	1159	554
5	2505	554
6	4157	554
7	5216	554
8	6571	554
9	7576	554
0	8051	473

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 108

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))
(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)
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 (* -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))
-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)))))
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))
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)

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

eval129.0ms (1.6%)

Memory: 14.3MiB live, 176.2MiB allocated
Compiler: Compiled 20 701 to 854 computations (95.9% saved)

prune54.0ms (0.7%)

Memory

-26.2MiB live, 131.4MiB allocated

Pruning

12 alts after pruning (7 fresh and 5 done)

	Pruned	Kept	Total
New	780	5	785
Fresh	0	2	2
Picked	0	5	5
Done	1	0	1
Total	781	12	793

Accuracy

100.0%

Counts

793 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(fma.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
	99.7%	(fma.f64 (/.f64 (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))) x #s(literal 1 binary64))
▶	99.8%	(fma.f64 (+.f64 (*.f64 x #s(literal -3/25 binary64)) #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
✓	99.8%	(fma.f64 (*.f64 x x) #s(literal -3/25 binary64) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)))
▶	96.7%	(fma.f64 (*.f64 x x) #s(literal -3/25 binary64) #s(literal 1 binary64))
✓	99.8%	(fma.f64 x #s(literal -253/1000 binary64) (fma.f64 x (*.f64 x #s(literal -3/25 binary64)) #s(literal 1 binary64)))
✓	44.8%	(fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))
▶	4.0%	(fma.f64 #s(literal -253/1000 binary64) x #s(literal 0 binary64))
▶	99.8%	(/.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))))
▶	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)))))
	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)))))
✓	42.6%	#s(literal 1 binary64)

Compiler

Compiled 185 to 136 computations (26.5% saved)

simplify45.0ms (0.5%)

Memory

28.7MiB live, 67.8MiB 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	(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
✓	cost-diff	0	(/.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)))
✓	cost-diff	1408	(/.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))))
✓	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	-64	(*.f64 x x)
✓	cost-diff	0	(fma.f64 (*.f64 x x) #s(literal -3/25 binary64) #s(literal 1 binary64))
✓	cost-diff	0	(fma.f64 #s(literal -253/1000 binary64) x #s(literal 0 binary64))
✓	cost-diff	-64	(*.f64 x #s(literal -3/25 binary64))
✓	cost-diff	0	(fma.f64 (+.f64 (*.f64 x #s(literal -3/25 binary64)) #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
✓	cost-diff	192	(+.f64 (*.f64 x #s(literal -3/25 binary64)) #s(literal -253/1000 binary64))

Rules

616×	`accelerator-lowering-fma.f32`
616×	`accelerator-lowering-fma.f64`
280×	`-lowering-.f32`
280×	`-lowering-.f64`
160×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	112
1	47	110
2	96	110
3	242	110
4	392	110
5	546	110
6	763	110
7	939	110
8	1001	110
9	1053	110
10	1065	110
11	1066	110
0	1066	94

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(+ (* (+ (* x -3/25) -253/1000) x) 1)
(+ (* x -3/25) -253/1000)
(* x -3/25)
x
-3/25
-253/1000
1
(+ (* -253/1000 x) 0)
-253/1000
x
0
(+ (* (* x x) -3/25) 1)
(* x x)
x
-3/25
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 (+ (* x -3/25) -253/1000)) 1)))
1
(/ 1 (+ (* x (+ (* x -3/25) -253/1000)) 1))
(+ (* x (+ (* x -3/25) -253/1000)) 1)
x
(+ (* x -3/25) -253/1000)
-3/25
-253/1000

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

localize93.0ms (1.1%)

Memory

3.7MiB live, 195.7MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
✓	accuracy	99.8%	(/.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))))
✓	accuracy	99.8%	(fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))
✓	accuracy	99.7%	(/.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)))
✓	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%	(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%	(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.8%	(fma.f64 (*.f64 x x) #s(literal -3/25 binary64) #s(literal 1 binary64))
✓	accuracy	99.9%	(fma.f64 #s(literal -253/1000 binary64) x #s(literal 0 binary64))
✓	accuracy	100.0%	(+.f64 (*.f64 x #s(literal -3/25 binary64)) #s(literal -253/1000 binary64))
✓	accuracy	99.9%	(fma.f64 (+.f64 (*.f64 x #s(literal -3/25 binary64)) #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
✓	accuracy	99.6%	(*.f64 x #s(literal -3/25 binary64))

Samples

58.0ms	255×	0	valid
3.0ms	1×	5	exit

Compiler

Compiled 108 to 27 computations (75% saved)

Precisions

Click to see histograms. Total time spent on operations: 44.0ms

const: 14.0ms (31.5% of total)

ival-mult: 11.0ms (24.7% of total)

ival-div: 9.0ms (20.2% of total)

ival-add: 9.0ms (20.2% of total)

ival-sub: 1.0ms (2.2% 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)

series7.0ms (0.1%)

Memory

-28.7MiB live, 8.3MiB allocated

Counts

14 → 168

Calls

Call 1

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

Outputs
#<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 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 (* -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 (* -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 (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 (* 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 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 1>
#<alt (+ 1 (* 253/1000 x))>
#<alt (+ 1 (* x (+ 253/1000 (* 184009/1000000 x))))>
#<alt (+ 1 (* x (+ 253/1000 (* x (+ 184009/1000000 (* 76914277/1000000000 x))))))>
#<alt (/ -25/3 (pow x 2))>
#<alt (/ (- (* 1265/72 (/ 1 x)) 25/3) (pow x 2))>
#<alt (/ (- (* 1265/72 (/ 1 x)) (+ 25/3 (/ 184009/1728 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ (* 1265/72 (/ 1 x)) (* 76914277/207360 (/ 1 (pow x 3)))) (+ 25/3 (/ 184009/1728 (pow x 2)))) (pow x 2))>
#<alt (/ -25/3 (pow x 2))>
#<alt (/ (- (* 1265/72 (/ 1 x)) 25/3) (pow x 2))>
#<alt (/ (- (* -1 (/ (- (* 184009/1728 (/ 1 x)) 1265/72) x)) 25/3) (pow x 2))>
#<alt (/ (- (* -1 (/ (- (* -1 (/ (- (* 76914277/207360 (/ 1 x)) 184009/1728) x)) 1265/72) x)) 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 -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)))))>

Calls

42 calls:

Time	Variable		Point	Expression
3.0ms	x	@	inf	(+ (* x -3/25) -253/1000)
0.0ms	x	@	inf	(/ 1 (+ (* x 3/25) 253/1000))
0.0ms	x	@	inf	(+ (* -253/1000 x) 0)
0.0ms	x	@	inf	(/ 1 (+ (* x (+ (* x -3/25) -253/1000)) 1))
0.0ms	x	@	0	(/ 1 (+ (* x 3/25) 253/1000))

rewrite675.0ms (8.2%)

Memory

25.7MiB live, 783.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

7 496×	`accelerator-lowering-fma.f32`
7 496×	`accelerator-lowering-fma.f64`
3 882×	`-lowering-.f32`
3 882×	`-lowering-.f64`
3 534×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	96
1	161	92
2	1215	92
0	8601	77

Stop Event

1×	iter limit
1×	node limit

Counts

14 → 851

Calls

Call 1

Inputs
(+ (* x -3/25) -253/1000)
(+ (* (+ (* x -3/25) -253/1000) x) 1)
(* x -3/25)
(+ (* -253/1000 x) 0)
(+ (* (* x x) -3/25) 1)
(* x x)
(/ 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 (/ 1 (+ (* x (+ (* x -3/25) -253/1000)) 1)))
(/ 1 (+ (* x (+ (* x -3/25) -253/1000)) 1))
(+ (* x (+ (* x -3/25) -253/1000)) 1)
(+ (* x -3/25) -253/1000)

Outputs
(+.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)))
(+.f64 (/.f64 (.f64 (.f64 x x) #s(literal 9/625 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) (neg.f64 (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 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 #s(literal 64009/1000000 binary64) (+.f64 #s(literal -253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))) (/.f64 (.f64 (.f64 x x) #s(literal 9/625 binary64)) (+.f64 #s(literal -253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))
(fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
(fma.f64 (*.f64 x #s(literal -3/25 binary64)) #s(literal 1 binary64) #s(literal -253/1000 binary64))
(fma.f64 (.f64 (.f64 x x) #s(literal 9/625 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) (neg.f64 (/.f64 #s(literal 64009/1000000 binary64) (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 #s(literal -3/25 binary64) #s(literal -253/1000 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.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 (+.f64 #s(literal 64009/1000000 binary64) (fma.f64 (.f64 x x) #s(literal 9/625 binary64) (.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 759/25000 binary64)))) (fma.f64 (.f64 x (.f64 x x)) #s(literal -27/15625 binary64) #s(literal -16194277/1000000000 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -253/1000 binary64) (.f64 x #s(literal 3/25 binary64))) (-.f64 #s(literal 64009/1000000 binary64) (.f64 (*.f64 x x) #s(literal 9/625 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -27/15625 binary64) #s(literal -16194277/1000000000 binary64)) (-.f64 (fma.f64 (.f64 x x) #s(literal 9/625 binary64) #s(literal 64009/1000000 binary64)) (.f64 x #s(literal 759/25000 binary64))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -27/15625 binary64) #s(literal -16194277/1000000000 binary64)) (+.f64 #s(literal 64009/1000000 binary64) (fma.f64 (.f64 x x) #s(literal 9/625 binary64) (.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 759/25000 binary64)))))
(/.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 (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x x) #s(literal 9/625 binary64) #s(literal -64009/1000000 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (.f64 x (.f64 x x)) #s(literal -27/15625 binary64) #s(literal -16194277/1000000000 binary64))) (-.f64 #s(literal 0 binary64) (-.f64 (fma.f64 (.f64 x x) #s(literal 9/625 binary64) #s(literal 64009/1000000 binary64)) (.f64 x #s(literal 759/25000 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (.f64 x (.f64 x x)) #s(literal -27/15625 binary64) #s(literal -16194277/1000000000 binary64))) (neg.f64 (+.f64 #s(literal 64009/1000000 binary64) (fma.f64 (.f64 x x) #s(literal 9/625 binary64) (.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 759/25000 binary64))))))
(/.f64 (-.f64 #s(literal 64009/1000000 binary64) (.f64 (.f64 x x) #s(literal 9/625 binary64))) (+.f64 #s(literal -253/1000 binary64) (*.f64 x #s(literal 3/25 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))) (.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)) #s(literal 64009/1000000 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 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x x) #s(literal 9/625 binary64) #s(literal -64009/1000000 binary64)))) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (.f64 x (.f64 x x)) #s(literal -27/15625 binary64) #s(literal -16194277/1000000000 binary64)))) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 (fma.f64 (.f64 x x) #s(literal 9/625 binary64) #s(literal 64009/1000000 binary64)) (.f64 x #s(literal 759/25000 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 64009/1000000 binary64) (.f64 (.f64 x x) #s(literal 9/625 binary64)))) (neg.f64 (+.f64 #s(literal -253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))))
(/.f64 (-.f64 (pow.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 3 binary64)) (pow.f64 (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) #s(literal 3 binary64))) (fma.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 (.f64 (.f64 x x) #s(literal 9/625 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) (fma.f64 (/.f64 #s(literal 64009/1000000 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 (*.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 (/.f64 (.f64 (.f64 x x) #s(literal 9/625 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) (/.f64 (.f64 (.f64 x x) #s(literal 9/625 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)))) (.f64 (/.f64 #s(literal 64009/1000000 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 (.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)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))) #s(literal -1 binary64))
(*.f64 (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 #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))
(.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -27/15625 binary64) #s(literal -16194277/1000000000 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 x x) #s(literal 9/625 binary64) #s(literal 64009/1000000 binary64)) (*.f64 x #s(literal 759/25000 binary64)))))
(.f64 (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 64009/1000000 binary64) (fma.f64 (.f64 x x) #s(literal 9/625 binary64) (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 759/25000 binary64))))))
(.f64 (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 #s(literal 0 binary64) (fma.f64 (.f64 x x) #s(literal 9/625 binary64) #s(literal -64009/1000000 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)))))
(.f64 (-.f64 #s(literal 0 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 0 binary64) (-.f64 (fma.f64 (.f64 x x) #s(literal 9/625 binary64) #s(literal 64009/1000000 binary64)) (*.f64 x #s(literal 759/25000 binary64))))))
(.f64 (-.f64 #s(literal 64009/1000000 binary64) (.f64 (.f64 x x) #s(literal 9/625 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))
(+.f64 (fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 0 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 0 binary64)))
(+.f64 (fma.f64 x (*.f64 x #s(literal -3/25 binary64)) #s(literal 0 binary64)) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)))
(+.f64 (fma.f64 #s(literal -3/25 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 0 binary64)))
(+.f64 (/.f64 (*.f64 (fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 0 binary64))) (fma.f64 x (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 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal -1 binary64)))))
(exp.f64 (log1p.f64 (fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 0 binary64))))
(exp.f64 (*.f64 (log1p.f64 (fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 0 binary64))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 0 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 (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 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 0 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 (fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 0 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))) #s(literal 1 binary64)))
(-.f64 (/.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 0 binary64)))) (/.f64 (*.f64 (fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 0 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 0 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 #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 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(fma.f64 (fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -3/25 binary64)) #s(literal 0 binary64)) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal -3/25 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 0 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 -3/25 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -27/15625 binary64)) (.f64 x (.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9/625 binary64)) #s(literal 1 binary64)) (.f64 #s(literal 3/25 binary64) (.f64 x x)))) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 0 binary64)))
(fma.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -27/15625 binary64)) (.f64 x (.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9/625 binary64)) (.f64 #s(literal 3/25 binary64) (.f64 x x))))) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 0 binary64)))
(fma.f64 (*.f64 (fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 0 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 #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 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9/625 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -3/25 binary64) (.f64 x x) #s(literal -1 binary64))) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 0 binary64)))
(fma.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))) #s(literal 1 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -27/15625 binary64)) (.f64 x (.f64 x x)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9/625 binary64)) #s(literal 1 binary64)) (.f64 #s(literal 3/25 binary64) (.f64 x x))))) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 0 binary64)))
(fma.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9/625 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 #s(literal -3/25 binary64) (.f64 x x) #s(literal -1 binary64)))) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 0 binary64)))
(fma.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -27/15625 binary64)) (.f64 x (.f64 x x)) (fma.f64 #s(literal -16194277/1000000000 binary64) (.f64 x (.f64 x x)) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 9/625 binary64) (.f64 (.f64 x x) (.f64 x x)) (-.f64 (fma.f64 (.f64 x x) #s(literal 64009/1000000 binary64) #s(literal 0 binary64)) (.f64 (fma.f64 x (*.f64 x #s(literal -3/25 binary64)) #s(literal 0 binary64)) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 0 binary64)))))) #s(literal 1 binary64))
(fma.f64 (.f64 (fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 0 binary64)) (fma.f64 x (.f64 x #s(literal -3/25 binary64)) (.f64 #s(literal 253/1000 binary64) x))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal -3/25 binary64)) (*.f64 #s(literal 253/1000 binary64) x))) #s(literal 1 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -9/625 binary64) (.f64 (.f64 x x) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 3/25 binary64) (.f64 x x)))) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 0 binary64)))
(fma.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) (-.f64 (fma.f64 (.f64 x 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 (.f64 x (.f64 x x)) #s(literal -27/15625 binary64) #s(literal -16194277/1000000000 binary64)) x) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 x x) #s(literal 9/625 binary64) #s(literal 64009/1000000 binary64)) (*.f64 x #s(literal 759/25000 binary64)))) #s(literal 1 binary64))
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(+.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)))
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(-.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 #s(literal 64009/1000000 binary64) (+.f64 #s(literal -253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))) (/.f64 (.f64 (.f64 x x) #s(literal 9/625 binary64)) (+.f64 #s(literal -253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))
(fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
(fma.f64 (*.f64 x #s(literal -3/25 binary64)) #s(literal 1 binary64) #s(literal -253/1000 binary64))
(fma.f64 (.f64 (.f64 x x) #s(literal 9/625 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) (neg.f64 (/.f64 #s(literal 64009/1000000 binary64) (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 #s(literal -3/25 binary64) #s(literal -253/1000 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.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 (+.f64 #s(literal 64009/1000000 binary64) (fma.f64 (.f64 x x) #s(literal 9/625 binary64) (.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 759/25000 binary64)))) (fma.f64 (.f64 x (.f64 x x)) #s(literal -27/15625 binary64) #s(literal -16194277/1000000000 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -253/1000 binary64) (.f64 x #s(literal 3/25 binary64))) (-.f64 #s(literal 64009/1000000 binary64) (.f64 (*.f64 x x) #s(literal 9/625 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -27/15625 binary64) #s(literal -16194277/1000000000 binary64)) (-.f64 (fma.f64 (.f64 x x) #s(literal 9/625 binary64) #s(literal 64009/1000000 binary64)) (.f64 x #s(literal 759/25000 binary64))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -27/15625 binary64) #s(literal -16194277/1000000000 binary64)) (+.f64 #s(literal 64009/1000000 binary64) (fma.f64 (.f64 x x) #s(literal 9/625 binary64) (.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 759/25000 binary64)))))
(/.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 (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x x) #s(literal 9/625 binary64) #s(literal -64009/1000000 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (.f64 x (.f64 x x)) #s(literal -27/15625 binary64) #s(literal -16194277/1000000000 binary64))) (-.f64 #s(literal 0 binary64) (-.f64 (fma.f64 (.f64 x x) #s(literal 9/625 binary64) #s(literal 64009/1000000 binary64)) (.f64 x #s(literal 759/25000 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (.f64 x (.f64 x x)) #s(literal -27/15625 binary64) #s(literal -16194277/1000000000 binary64))) (neg.f64 (+.f64 #s(literal 64009/1000000 binary64) (fma.f64 (.f64 x x) #s(literal 9/625 binary64) (.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 759/25000 binary64))))))
(/.f64 (-.f64 #s(literal 64009/1000000 binary64) (.f64 (.f64 x x) #s(literal 9/625 binary64))) (+.f64 #s(literal -253/1000 binary64) (*.f64 x #s(literal 3/25 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))) (.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)) #s(literal 64009/1000000 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 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x x) #s(literal 9/625 binary64) #s(literal -64009/1000000 binary64)))) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (.f64 x (.f64 x x)) #s(literal -27/15625 binary64) #s(literal -16194277/1000000000 binary64)))) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 (fma.f64 (.f64 x x) #s(literal 9/625 binary64) #s(literal 64009/1000000 binary64)) (.f64 x #s(literal 759/25000 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 64009/1000000 binary64) (.f64 (.f64 x x) #s(literal 9/625 binary64)))) (neg.f64 (+.f64 #s(literal -253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))))
(/.f64 (-.f64 (pow.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 3 binary64)) (pow.f64 (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) #s(literal 3 binary64))) (fma.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 (.f64 (.f64 x x) #s(literal 9/625 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) (fma.f64 (/.f64 #s(literal 64009/1000000 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 (*.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 (/.f64 (.f64 (.f64 x x) #s(literal 9/625 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) (/.f64 (.f64 (.f64 x x) #s(literal 9/625 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)))) (.f64 (/.f64 #s(literal 64009/1000000 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 (.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)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))) #s(literal -1 binary64))
(*.f64 (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 #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))
(.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -27/15625 binary64) #s(literal -16194277/1000000000 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 x x) #s(literal 9/625 binary64) #s(literal 64009/1000000 binary64)) (*.f64 x #s(literal 759/25000 binary64)))))
(.f64 (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 64009/1000000 binary64) (fma.f64 (.f64 x x) #s(literal 9/625 binary64) (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 759/25000 binary64))))))
(.f64 (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 #s(literal 0 binary64) (fma.f64 (.f64 x x) #s(literal 9/625 binary64) #s(literal -64009/1000000 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)))))
(.f64 (-.f64 #s(literal 0 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 0 binary64) (-.f64 (fma.f64 (.f64 x x) #s(literal 9/625 binary64) #s(literal 64009/1000000 binary64)) (*.f64 x #s(literal 759/25000 binary64))))))
(.f64 (-.f64 #s(literal 64009/1000000 binary64) (.f64 (.f64 x x) #s(literal 9/625 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))

simplify397.0ms (4.8%)

Memory

6.2MiB live, 601.2MiB allocated

Algorithm

1×	egg-herbie

Rules

12 008×	`accelerator-lowering-fma.f32`
12 008×	`accelerator-lowering-fma.f64`
3 670×	`-lowering-.f32`
3 670×	`-lowering-.f64`
2 010×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	136	1014
1	384	1006
2	921	974
3	2065	966
4	5236	966
0	8303	849

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 168

Calls

Call 1

Inputs
-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)))))
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))
(* -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)
(* -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))
(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)
(* 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))))
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))
1
(+ 1 (* 253/1000 x))
(+ 1 (* x (+ 253/1000 (* 184009/1000000 x))))
(+ 1 (* x (+ 253/1000 (* x (+ 184009/1000000 (* 76914277/1000000000 x))))))
(/ -25/3 (pow x 2))
(/ (- (* 1265/72 (/ 1 x)) 25/3) (pow x 2))
(/ (- (* 1265/72 (/ 1 x)) (+ 25/3 (/ 184009/1728 (pow x 2)))) (pow x 2))
(/ (- (+ (* 1265/72 (/ 1 x)) (* 76914277/207360 (/ 1 (pow x 3)))) (+ 25/3 (/ 184009/1728 (pow x 2)))) (pow x 2))
(/ -25/3 (pow x 2))
(/ (- (* 1265/72 (/ 1 x)) 25/3) (pow x 2))
(/ (- (* -1 (/ (- (* 184009/1728 (/ 1 x)) 1265/72) x)) 25/3) (pow x 2))
(/ (- (* -1 (/ (- (* -1 (/ (- (* 76914277/207360 (/ 1 x)) 184009/1728) x)) 1265/72) x)) 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))
-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)))))

Outputs
-253/1000
#s(literal -253/1000 binary64)
(- (* -3/25 x) 253/1000)
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
(- (* -3/25 x) 253/1000)
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
(- (* -3/25 x) 253/1000)
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
(* -3/25 x)
(*.f64 #s(literal -3/25 binary64) x)
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
(* -3/25 x)
(*.f64 #s(literal -3/25 binary64) x)
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
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 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(fma.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(* -3/25 (pow x 2))
(fma.f64 #s(literal -3/25 binary64) (*.f64 x x) #s(literal 0 binary64))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 x (fma.f64 #s(literal -3/25 binary64) x #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 #s(literal -3/25 binary64) x #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 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(* -3/25 (pow x 2))
(fma.f64 #s(literal -3/25 binary64) (*.f64 x x) #s(literal 0 binary64))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 x (fma.f64 #s(literal -3/25 binary64) x #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 #s(literal -3/25 binary64) x #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 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(* -3/25 x)
(*.f64 #s(literal -3/25 binary64) x)
(* -3/25 x)
(*.f64 #s(literal -3/25 binary64) x)
(* -3/25 x)
(*.f64 #s(literal -3/25 binary64) x)
(* -3/25 x)
(*.f64 #s(literal -3/25 binary64) x)
(* -3/25 x)
(*.f64 #s(literal -3/25 binary64) x)
(* -3/25 x)
(*.f64 #s(literal -3/25 binary64) x)
(* -3/25 x)
(*.f64 #s(literal -3/25 binary64) x)
(* -3/25 x)
(*.f64 #s(literal -3/25 binary64) x)
(* -3/25 x)
(*.f64 #s(literal -3/25 binary64) x)
(* -3/25 x)
(*.f64 #s(literal -3/25 binary64) x)
(* -3/25 x)
(*.f64 #s(literal -3/25 binary64) x)
(* -3/25 x)
(*.f64 #s(literal -3/25 binary64) x)
(* -253/1000 x)
(fma.f64 #s(literal -253/1000 binary64) x #s(literal 0 binary64))
(* -253/1000 x)
(fma.f64 #s(literal -253/1000 binary64) x #s(literal 0 binary64))
(* -253/1000 x)
(fma.f64 #s(literal -253/1000 binary64) x #s(literal 0 binary64))
(* -253/1000 x)
(fma.f64 #s(literal -253/1000 binary64) x #s(literal 0 binary64))
(* -253/1000 x)
(fma.f64 #s(literal -253/1000 binary64) x #s(literal 0 binary64))
(* -253/1000 x)
(fma.f64 #s(literal -253/1000 binary64) x #s(literal 0 binary64))
(* -253/1000 x)
(fma.f64 #s(literal -253/1000 binary64) x #s(literal 0 binary64))
(* -253/1000 x)
(fma.f64 #s(literal -253/1000 binary64) x #s(literal 0 binary64))
(* -253/1000 x)
(fma.f64 #s(literal -253/1000 binary64) x #s(literal 0 binary64))
(* -253/1000 x)
(fma.f64 #s(literal -253/1000 binary64) x #s(literal 0 binary64))
(* -253/1000 x)
(fma.f64 #s(literal -253/1000 binary64) x #s(literal 0 binary64))
(* -253/1000 x)
(fma.f64 #s(literal -253/1000 binary64) x #s(literal 0 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -3/25 (pow x 2)))
(fma.f64 #s(literal -3/25 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* -3/25 (pow x 2)))
(fma.f64 #s(literal -3/25 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* -3/25 (pow x 2)))
(fma.f64 #s(literal -3/25 binary64) (*.f64 x x) #s(literal 1 binary64))
(* -3/25 (pow x 2))
(fma.f64 #s(literal -3/25 binary64) (*.f64 x x) #s(literal 0 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) 3/25))
(fma.f64 #s(literal -3/25 binary64) (*.f64 x x) #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) 3/25))
(fma.f64 #s(literal -3/25 binary64) (*.f64 x x) #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) 3/25))
(fma.f64 #s(literal -3/25 binary64) (*.f64 x x) #s(literal 1 binary64))
(* -3/25 (pow x 2))
(fma.f64 #s(literal -3/25 binary64) (*.f64 x x) #s(literal 0 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) 3/25))
(fma.f64 #s(literal -3/25 binary64) (*.f64 x x) #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) 3/25))
(fma.f64 #s(literal -3/25 binary64) (*.f64 x x) #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) 3/25))
(fma.f64 #s(literal -3/25 binary64) (*.f64 x x) #s(literal 1 binary64))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* 253/1000 x)
(*.f64 x #s(literal 253/1000 binary64))
(* x (+ 253/1000 (* 3/25 x)))
(*.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))
(* x (+ 253/1000 (* 3/25 x)))
(*.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))
(* x (+ 253/1000 (* 3/25 x)))
(*.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))
(* 3/25 (pow x 2))
(.f64 x (.f64 x #s(literal 3/25 binary64)))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))
(* 3/25 (pow x 2))
(.f64 x (.f64 x #s(literal 3/25 binary64)))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(*.f64 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 #s(literal -253/1000 binary64) x #s(literal 1 binary64))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(fma.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(fma.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(* -3/25 (pow x 2))
(fma.f64 #s(literal -3/25 binary64) (*.f64 x x) #s(literal 0 binary64))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 x (fma.f64 #s(literal -3/25 binary64) x #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 #s(literal -3/25 binary64) x #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 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(* -3/25 (pow x 2))
(fma.f64 #s(literal -3/25 binary64) (*.f64 x x) #s(literal 0 binary64))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 x (fma.f64 #s(literal -3/25 binary64) x #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 #s(literal -3/25 binary64) x #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 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) #s(literal 1 binary64))
1000/253
#s(literal 1000/253 binary64)
(+ 1000/253 (* -120000/64009 x))
(fma.f64 x #s(literal -120000/64009 binary64) #s(literal 1000/253 binary64))
(+ 1000/253 (* x (- (* 14400000/16194277 x) 120000/64009)))
(fma.f64 x (fma.f64 x #s(literal 14400000/16194277 binary64) #s(literal -120000/64009 binary64)) #s(literal 1000/253 binary64))
(+ 1000/253 (* x (- (* x (+ 14400000/16194277 (* -1728000000/4097152081 x))) 120000/64009)))
(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 x)
(/.f64 #s(literal 25/3 binary64) x)
(/ (- 25/3 (* 1265/72 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 25/3 binary64) (/.f64 #s(literal -1265/72 binary64) x)) x)
(/ (- (+ 25/3 (/ 64009/1728 (pow x 2))) (* 1265/72 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 25/3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 64009/1728 binary64) x) #s(literal -1265/72 binary64)) x)) x)
(/ (- (+ 25/3 (/ 64009/1728 (pow x 2))) (+ (* 1265/72 (/ 1 x)) (* 16194277/207360 (/ 1 (pow x 3))))) x)
(/.f64 (+.f64 #s(literal 25/3 binary64) (/.f64 (+.f64 (/.f64 (-.f64 #s(literal 64009/1728 binary64) (/.f64 #s(literal 16194277/207360 binary64) x)) x) #s(literal -1265/72 binary64)) x)) x)
(/ 25/3 x)
(/.f64 #s(literal 25/3 binary64) x)
(* -1 (/ (- (* 1265/72 (/ 1 x)) 25/3) x))
(/.f64 (+.f64 #s(literal 25/3 binary64) (/.f64 #s(literal -1265/72 binary64) x)) x)
(* -1 (/ (- (* -1 (/ (- (* 64009/1728 (/ 1 x)) 1265/72) x)) 25/3) x))
(/.f64 (+.f64 #s(literal 25/3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 64009/1728 binary64) x) #s(literal -1265/72 binary64)) x)) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16194277/207360 (/ 1 x)) 64009/1728) x)) 1265/72) x)) 25/3) x))
(/.f64 (+.f64 #s(literal 25/3 binary64) (/.f64 (+.f64 (/.f64 (-.f64 #s(literal 64009/1728 binary64) (/.f64 #s(literal 16194277/207360 binary64) x)) x) #s(literal -1265/72 binary64)) 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)
(*.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))
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 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(fma.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(* -3/25 (pow x 2))
(fma.f64 #s(literal -3/25 binary64) (*.f64 x x) #s(literal 0 binary64))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 x (fma.f64 #s(literal -3/25 binary64) x #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 #s(literal -3/25 binary64) x #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 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(* -3/25 (pow x 2))
(fma.f64 #s(literal -3/25 binary64) (*.f64 x x) #s(literal 0 binary64))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 x (fma.f64 #s(literal -3/25 binary64) x #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 #s(literal -3/25 binary64) x #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 #s(literal -3/25 binary64) 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 (+ 253/1000 (* 184009/1000000 x))))
(fma.f64 x (fma.f64 x #s(literal 184009/1000000 binary64) #s(literal 253/1000 binary64)) #s(literal 1 binary64))
(+ 1 (* x (+ 253/1000 (* x (+ 184009/1000000 (* 76914277/1000000000 x))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 76914277/1000000000 binary64) #s(literal 184009/1000000 binary64)) #s(literal 253/1000 binary64)) #s(literal 1 binary64))
(/ -25/3 (pow x 2))
(/.f64 #s(literal -25/3 binary64) (*.f64 x x))
(/ (- (* 1265/72 (/ 1 x)) 25/3) (pow x 2))
(/.f64 (+.f64 (/.f64 #s(literal 1265/72 binary64) x) #s(literal -25/3 binary64)) (*.f64 x x))
(/ (- (* 1265/72 (/ 1 x)) (+ 25/3 (/ 184009/1728 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal -25/3 binary64) (/.f64 (+.f64 #s(literal 1265/72 binary64) (/.f64 #s(literal -184009/1728 binary64) x)) x)) (*.f64 x x))
(/ (- (+ (* 1265/72 (/ 1 x)) (* 76914277/207360 (/ 1 (pow x 3)))) (+ 25/3 (/ 184009/1728 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal -25/3 binary64) (/.f64 (+.f64 #s(literal 1265/72 binary64) (/.f64 (+.f64 (/.f64 #s(literal 76914277/207360 binary64) x) #s(literal -184009/1728 binary64)) x)) x)) (*.f64 x x))
(/ -25/3 (pow x 2))
(/.f64 #s(literal -25/3 binary64) (*.f64 x x))
(/ (- (* 1265/72 (/ 1 x)) 25/3) (pow x 2))
(/.f64 (+.f64 (/.f64 #s(literal 1265/72 binary64) x) #s(literal -25/3 binary64)) (*.f64 x x))
(/ (- (* -1 (/ (- (* 184009/1728 (/ 1 x)) 1265/72) x)) 25/3) (pow x 2))
(/.f64 (+.f64 #s(literal -25/3 binary64) (/.f64 (+.f64 #s(literal 1265/72 binary64) (/.f64 #s(literal -184009/1728 binary64) x)) x)) (*.f64 x x))
(/ (- (* -1 (/ (- (* -1 (/ (- (* 76914277/207360 (/ 1 x)) 184009/1728) x)) 1265/72) x)) 25/3) (pow x 2))
(/.f64 (+.f64 #s(literal -25/3 binary64) (/.f64 (+.f64 #s(literal 1265/72 binary64) (/.f64 (+.f64 (/.f64 #s(literal 76914277/207360 binary64) x) #s(literal -184009/1728 binary64)) x)) x)) (*.f64 x x))
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 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(fma.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(* -3/25 (pow x 2))
(fma.f64 #s(literal -3/25 binary64) (*.f64 x x) #s(literal 0 binary64))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 x (fma.f64 #s(literal -3/25 binary64) x #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 #s(literal -3/25 binary64) x #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 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(* -3/25 (pow x 2))
(fma.f64 #s(literal -3/25 binary64) (*.f64 x x) #s(literal 0 binary64))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 x (fma.f64 #s(literal -3/25 binary64) x #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 #s(literal -3/25 binary64) x #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 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) #s(literal 1 binary64))
-253/1000
#s(literal -253/1000 binary64)
(- (* -3/25 x) 253/1000)
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
(- (* -3/25 x) 253/1000)
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
(- (* -3/25 x) 253/1000)
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
(* -3/25 x)
(*.f64 #s(literal -3/25 binary64) x)
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
(* -3/25 x)
(*.f64 #s(literal -3/25 binary64) x)
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))

eval133.0ms (1.6%)

Memory: 7.8MiB live, 318.4MiB allocated
Compiler: Compiled 25 105 to 2 013 computations (92% saved)

prune160.0ms (1.9%)

Memory

-8.1MiB live, 229.1MiB allocated

Pruning

17 alts after pruning (10 fresh and 7 done)

	Pruned	Kept	Total
New	1 009	10	1 019
Fresh	2	0	2
Picked	3	2	5
Done	0	5	5
Total	1 014	17	1 031

Accuracy

100.0%

Counts

1 031 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(fma.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
▶	99.8%	(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))
	96.6%	(fma.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) #s(literal -3/25 binary64) #s(literal 1 binary64))
✓	99.8%	(fma.f64 (+.f64 (*.f64 x #s(literal -3/25 binary64)) #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
✓	99.8%	(fma.f64 (*.f64 x x) #s(literal -3/25 binary64) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)))
▶	96.7%	(fma.f64 (*.f64 x #s(literal -3/25 binary64)) x #s(literal 1 binary64))
✓	99.8%	(fma.f64 x #s(literal -253/1000 binary64) (fma.f64 x (*.f64 x #s(literal -3/25 binary64)) #s(literal 1 binary64)))
	55.8%	(fma.f64 #s(literal -3/25 binary64) (*.f64 x x) #s(literal 0 binary64))
✓	44.8%	(fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))
	96.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 #s(literal -3/25 binary64) x) #s(literal 1 binary64))))
▶	55.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -25/3 binary64) (*.f64 x x)))
	96.6%	(-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 25/3 binary64) x)))
✓	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)))))
▶	96.7%	(-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3/25 binary64)))))
	94.0%	(-.f64 #s(literal 1 binary64) (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (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)))))
▶	4.0%	(*.f64 x #s(literal -253/1000 binary64))
✓	42.6%	#s(literal 1 binary64)

Compiler

Compiled 253 to 181 computations (28.5% saved)

simplify344.0ms (4.2%)

Memory

8.0MiB live, 328.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-64	(*.f64 x #s(literal 3/25 binary64))
✓	cost-diff	192	(-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3/25 binary64)))))
✓	cost-diff	384	(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3/25 binary64)))
✓	cost-diff	640	(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3/25 binary64))))
✓	cost-diff	-64	(*.f64 x x)
✓	cost-diff	0	(/.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 #s(literal -3/25 binary64))
✓	cost-diff	0	(fma.f64 (*.f64 x #s(literal -3/25 binary64)) x #s(literal 1 binary64))
✓	cost-diff	-64	(*.f64 x #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 (*.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

3 712×	`accelerator-lowering-fma.f32`
3 712×	`accelerator-lowering-fma.f64`
2 376×	`-lowering-.f32`
2 376×	`-lowering-.f64`
2 290×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	110
1	53	106
2	87	106
3	170	106
4	314	106
5	675	106
6	934	106
7	1369	106
8	2384	106
9	3507	104
10	4519	104
11	5296	104
12	5883	104
13	5953	104
14	5972	104
15	6172	104
16	6259	104
17	6259	104
18	6259	104
19	6501	104
20	7466	104
0	8084	97

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

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

localize99.0ms (1.2%)

Memory

-8.1MiB live, 189.0MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3/25 binary64)))))
✓	accuracy	99.8%	(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3/25 binary64))))
✓	accuracy	99.6%	(*.f64 x #s(literal 3/25 binary64))
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3/25 binary64)))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.5%	(/.f64 #s(literal -25/3 binary64) (*.f64 x x))
✓	accuracy	99.5%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -25/3 binary64) (*.f64 x x)))
✓	accuracy	99.9%	(fma.f64 (*.f64 x #s(literal -3/25 binary64)) x #s(literal 1 binary64))
✓	accuracy	99.6%	(*.f64 x #s(literal -3/25 binary64))
✓	accuracy	99.9%	(*.f64 x #s(literal -253/1000 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	99.8%	(fma.f64 (*.f64 x x) #s(literal 9/625 binary64) #s(literal -64009/1000000 binary64))
✓	accuracy	99.8%	(fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))
✓	accuracy	75.4%	(/.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

66.0ms	255×	0	valid
1.0ms	1×	5	exit

Compiler

Compiled 108 to 28 computations (74.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 53.0ms

const: 22.0ms (41.9% of total)

ival-mult: 14.0ms (26.6% of total)

ival-div: 8.0ms (15.2% of total)

ival-add: 5.0ms (9.5% of total)

ival-sub: 3.0ms (5.7% 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)

series7.0ms (0.1%)

Memory

14.7MiB live, 14.7MiB 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)>
#<alt (+ (* (* x -3/25) x) 1)>
#<alt (* x -3/25)>
#<alt (/ 1 (/ -25/3 (* x x)))>
#<alt (/ -25/3 (* x x))>
#<alt (* x x)>
#<alt (/ x (/ 1 (* x 3/25)))>
#<alt (/ 1 (* x 3/25))>
#<alt (- 1 (/ x (/ 1 (* 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 (- (* -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 (* -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 (* -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 (/ -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 (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 (/ 25/3 x)>
#<alt (/ 25/3 x)>
#<alt (/ 25/3 x)>
#<alt (/ 25/3 x)>
#<alt (/ 25/3 x)>
#<alt (/ 25/3 x)>
#<alt (/ 25/3 x)>
#<alt (/ 25/3 x)>
#<alt (/ 25/3 x)>
#<alt (/ 25/3 x)>
#<alt (/ 25/3 x)>
#<alt (/ 25/3 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)>

Calls

42 calls:

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

rewrite470.0ms (5.7%)

Memory

6.3MiB live, 681.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 438×	`accelerator-lowering-fma.f32`
6 438×	`accelerator-lowering-fma.f64`
3 694×	`-lowering-.f32`
3 694×	`-lowering-.f64`
3 678×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	90
1	152	70
2	1148	70
0	8635	63

Stop Event

1×	iter limit
1×	node limit

Counts

14 → 686

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)
(+ (* (* x -3/25) x) 1)
(* x -3/25)
(/ 1 (/ -25/3 (* x x)))
(/ -25/3 (* x x))
(* x x)
(/ x (/ 1 (* x 3/25)))
(/ 1 (* x 3/25))
(- 1 (/ x (/ 1 (* x 3/25))))
(* x 3/25)

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 (.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) (.f64 x (*.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))) (neg.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 (.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) (.f64 x (*.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 #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 #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 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) (.f64 x (.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))))))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #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 (/.f64 #s(literal 1 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))
(fma.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) x #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 (-.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 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) (.f64 x (*.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))) (neg.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)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 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 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 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))
(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 (.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)) #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 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 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)) (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 (/.f64 (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 x (/.f64 (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 (.f64 x x) #s(literal -9/625 binary64) #s(literal -64009/1000000 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 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 729/244140625 binary64)) #s(literal -262254607552729/1000000000000000000 binary64)))) (/.f64 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) (/.f64 (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 x (fma.f64 x (.f64 x #s(literal 9/625 binary64)) #s(literal 64009/1000000 binary64))) #s(literal 1 binary64))
(fma.f64 (/.f64 (fma.f64 (*.f64 x 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))
(neg.f64 (/.f64 (fma.f64 (.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)) (.f64 x (.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))))) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 (fma.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) (.f64 x (.f64 x (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)))))))
(neg.f64 (/.f64 (fma.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)) (fma.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) #s(literal 1 binary64))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (.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)) (.f64 x (.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))))) #s(literal 1 binary64))) (+.f64 (fma.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) (.f64 x (.f64 x (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))))))
(neg.f64 (/.f64 (*.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))) (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 #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 #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))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (fma.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 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 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) (.f64 x (*.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 #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 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) (.f64 x (.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))))))))
(/.f64 #s(literal -1 binary64) (neg.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 (.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)) (.f64 x (.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))))) #s(literal 1 binary64)) (+.f64 (fma.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) (.f64 x (.f64 x (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)))))
(/.f64 (fma.f64 (.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)) (.f64 x (.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 (.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 x (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))) (.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 (-.f64 #s(literal 0 binary64) (fma.f64 (.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)) (.f64 x (.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))))) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 (fma.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) (.f64 x (.f64 x (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))))))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (.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)) (.f64 x (.f64 x (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 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 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))))))
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(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9/625 binary64))) (fma.f64 x (.f64 x #s(literal -3/25 binary64)) #s(literal -1 binary64))) (.f64 (fma.f64 x (.f64 x #s(literal -3/25 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) (fma.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal -9/625 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x x) #s(literal 3/25 binary64)) (fma.f64 x (.f64 x #s(literal -3/25 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 (.f64 (.f64 x x) #s(literal 3/25 binary64)) (fma.f64 x (.f64 x #s(literal -3/25 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -27/15625 binary64)) (.f64 x (.f64 x x))))) (.f64 (fma.f64 (.f64 (.f64 x x) #s(literal 3/25 binary64)) (fma.f64 x (.f64 x #s(literal -3/25 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 (.f64 x x) #s(literal 3/25 binary64)) (fma.f64 x (*.f64 x #s(literal -3/25 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 (fma.f64 x (.f64 x #s(literal -3/25 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 x (.f64 x #s(literal -3/25 binary64)) #s(literal 1 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9/625 binary64))))) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal -9/625 binary64)) #s(literal 1 binary64)))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -27/15625 binary64)) (.f64 x (.f64 x x)) #s(literal -1 binary64))) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9/625 binary64)) (fma.f64 x (*.f64 x #s(literal -3/25 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -27/15625 binary64)) (.f64 x (.f64 x x)) #s(literal -1 binary64))) (neg.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal -9/625 binary64)) (fma.f64 x (*.f64 x #s(literal -3/25 binary64)) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -27/15625 binary64)) (.f64 x (.f64 x x)) #s(literal -1 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (.f64 (.f64 x x) #s(literal 3/25 binary64)) (fma.f64 x (.f64 x #s(literal -3/25 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9/625 binary64))))) (fma.f64 x (*.f64 x #s(literal -3/25 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9/625 binary64))) (fma.f64 x (.f64 x #s(literal -3/25 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal -3/25 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9/625 binary64))) (fma.f64 x (.f64 x #s(literal -3/25 binary64)) #s(literal -1 binary64))) (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9/625 binary64))) (fma.f64 x (.f64 x #s(literal -3/25 binary64)) #s(literal -1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal -3/25 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal -3/25 binary64)) #s(literal -1 binary64))) (.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9/625 binary64))) (fma.f64 x (.f64 x #s(literal -3/25 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -3/25 binary64)) #s(literal -1 binary64)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x x) #s(literal 3/25 binary64)) (fma.f64 x (.f64 x #s(literal -3/25 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -27/15625 binary64)) (.f64 x (.f64 x x))) (fma.f64 (.f64 (.f64 x x) #s(literal 3/25 binary64)) (fma.f64 x (.f64 x #s(literal -3/25 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x x) #s(literal 3/25 binary64)) (fma.f64 x (.f64 x #s(literal -3/25 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x x) #s(literal 3/25 binary64)) (fma.f64 x (.f64 x #s(literal -3/25 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -27/15625 binary64)) (.f64 x (.f64 x x))) (fma.f64 (.f64 (.f64 x x) #s(literal 3/25 binary64)) (fma.f64 x (.f64 x #s(literal -3/25 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -27/15625 binary64)) (.f64 x (.f64 x x))) (fma.f64 (.f64 (.f64 x x) #s(literal 3/25 binary64)) (fma.f64 x (.f64 x #s(literal -3/25 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x x) #s(literal 3/25 binary64)) (fma.f64 x (.f64 x #s(literal -3/25 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -27/15625 binary64)) (.f64 x (.f64 x x))) (fma.f64 (.f64 (.f64 x x) #s(literal 3/25 binary64)) (fma.f64 x (*.f64 x #s(literal -3/25 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal -3/25 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9/625 binary64))) (fma.f64 x (.f64 x #s(literal -3/25 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal -3/25 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal -3/25 binary64)) #s(literal 1 binary64))) (fma.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9/625 binary64))) (fma.f64 x (.f64 x #s(literal -3/25 binary64)) #s(literal 1 binary64))) (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9/625 binary64))) (fma.f64 x (.f64 x #s(literal -3/25 binary64)) #s(literal 1 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal -3/25 binary64)) #s(literal 1 binary64))) (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9/625 binary64))) (fma.f64 x (*.f64 x #s(literal -3/25 binary64)) #s(literal 1 binary64)))))))
(/.f64 (neg.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal -9/625 binary64)) #s(literal 1 binary64))) (fma.f64 x (.f64 x #s(literal -3/25 binary64)) #s(literal -1 binary64)))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9/625 binary64))) (fma.f64 x (.f64 x #s(literal -3/25 binary64)) #s(literal -1 binary64))) (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9/625 binary64))) (fma.f64 x (.f64 x #s(literal -3/25 binary64)) #s(literal -1 binary64)))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal -3/25 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal -3/25 binary64)) #s(literal -1 binary64))))) (+.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9/625 binary64))) (fma.f64 x (.f64 x #s(literal -3/25 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal -3/25 binary64)) #s(literal -1 binary64)))))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x x) #s(literal 3/25 binary64)) (fma.f64 x (.f64 x #s(literal -3/25 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x x) #s(literal 3/25 binary64)) (fma.f64 x (.f64 x #s(literal -3/25 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))) (.f64 (/.f64 (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -27/15625 binary64)) (.f64 x (.f64 x x))) (fma.f64 (.f64 (.f64 x x) #s(literal 3/25 binary64)) (fma.f64 x (.f64 x #s(literal -3/25 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -27/15625 binary64)) (.f64 x (.f64 x x))) (fma.f64 (.f64 (.f64 x x) #s(literal 3/25 binary64)) (fma.f64 x (.f64 x #s(literal -3/25 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x x) #s(literal 3/25 binary64)) (fma.f64 x (.f64 x #s(literal -3/25 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -27/15625 binary64)) (.f64 x (.f64 x x))) (fma.f64 (.f64 (.f64 x x) #s(literal 3/25 binary64)) (fma.f64 x (.f64 x #s(literal -3/25 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal -3/25 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal -3/25 binary64)) #s(literal 1 binary64)))) (.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9/625 binary64))) (fma.f64 x (.f64 x #s(literal -3/25 binary64)) #s(literal 1 binary64))) (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9/625 binary64))) (fma.f64 x (.f64 x #s(literal -3/25 binary64)) #s(literal 1 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal -3/25 binary64)) #s(literal 1 binary64))) (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9/625 binary64))) (fma.f64 x (.f64 x #s(literal -3/25 binary64)) #s(literal 1 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -3/25 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal -3/25 binary64)) #s(literal 1 binary64)))
(.f64 #s(literal -1 binary64) (fma.f64 x (.f64 x #s(literal -3/25 binary64)) #s(literal -1 binary64)))
(.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -27/15625 binary64)) (.f64 x (.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x x) #s(literal 3/25 binary64)) (fma.f64 x (*.f64 x #s(literal -3/25 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -27/15625 binary64)) (.f64 x (.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9/625 binary64)) (fma.f64 x (.f64 x #s(literal -3/25 binary64)) #s(literal 1 binary64)))))
(.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9/625 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -3/25 binary64)) #s(literal -1 binary64))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal -9/625 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal -3/25 binary64)) #s(literal 1 binary64))))
(.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -27/15625 binary64)) (.f64 x (.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal -9/625 binary64)) (fma.f64 x (.f64 x #s(literal -3/25 binary64)) #s(literal -1 binary64)))))
(.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -27/15625 binary64)) (.f64 x (.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 (.f64 (.f64 x x) #s(literal 3/25 binary64)) (fma.f64 x (*.f64 x #s(literal -3/25 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9/625 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal -3/25 binary64)) #s(literal -1 binary64))))
(.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal -9/625 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -3/25 binary64)) #s(literal 1 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 x #s(literal 3/25 binary64))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 25/3 binary64) x)) #s(literal -1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x #s(literal 3/25 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (neg.f64 (.f64 (log.f64 (.f64 x #s(literal 3/25 binary64))) #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (*.f64 x #s(literal -3/25 binary64)))
(neg.f64 (*.f64 x #s(literal -3/25 binary64)))
(/.f64 #s(literal -3/25 binary64) (/.f64 #s(literal -1 binary64) x))
(/.f64 (*.f64 x #s(literal -3/25 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 25/3 binary64) x))
(/.f64 #s(literal 3/25 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 x #s(literal 3/25 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -25/3 binary64) x))
(pow.f64 (*.f64 x #s(literal 3/25 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 25/3 binary64) x) #s(literal -1 binary64))
(*.f64 x #s(literal 3/25 binary64))
(*.f64 #s(literal -3/25 binary64) (-.f64 #s(literal 0 binary64) x))
(.f64 (.f64 x #s(literal -3/25 binary64)) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (.f64 x #s(literal 3/25 binary64)))
(*.f64 #s(literal 3/25 binary64) x)
(.f64 (.f64 x #s(literal 3/25 binary64)) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (.f64 x #s(literal -3/25 binary64)))
(.f64 #s(literal -1 binary64) (pow.f64 (.f64 x #s(literal -3/25 binary64)) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -3/25 binary64))
(.f64 (pow.f64 (pow.f64 (.f64 x #s(literal 3/25 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 x #s(literal 3/25 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (.f64 x #s(literal 3/25 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 x #s(literal 3/25 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 25/3 binary64) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 25/3 binary64) x) #s(literal -1/2 binary64)))

simplify282.0ms (3.4%)

Memory

0.6MiB live, 479.7MiB allocated

Algorithm

1×	egg-herbie

Rules

5 618×	`accelerator-lowering-fma.f32`
5 618×	`accelerator-lowering-fma.f64`
3 178×	`-lowering-.f32`
3 178×	`-lowering-.f64`
1 460×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	776
1	132	774
2	351	770
3	795	770
4	1438	770
5	3243	770
6	5265	770
7	6568	770
8	7899	770
0	8135	710

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)))))
(* -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)
(* -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))
(/ -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))
(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))
(/ 25/3 x)
(/ 25/3 x)
(/ 25/3 x)
(/ 25/3 x)
(/ 25/3 x)
(/ 25/3 x)
(/ 25/3 x)
(/ 25/3 x)
(/ 25/3 x)
(/ 25/3 x)
(/ 25/3 x)
(/ 25/3 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)

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

eval107.0ms (1.3%)

Memory: -9.9MiB live, 217.6MiB allocated
Compiler: Compiled 17 090 to 1 812 computations (89.4% saved)

prune144.0ms (1.7%)

Memory

23.4MiB live, 145.5MiB allocated

Pruning

17 alts after pruning (7 fresh and 10 done)

	Pruned	Kept	Total
New	881	6	887
Fresh	4	1	5
Picked	2	3	5
Done	0	7	7
Total	887	17	904

Accuracy

100.0%

Counts

904 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(fma.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
	96.6%	(fma.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) #s(literal -3/25 binary64) #s(literal 1 binary64))
✓	99.8%	(fma.f64 (+.f64 (*.f64 x #s(literal -3/25 binary64)) #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
✓	99.8%	(fma.f64 (*.f64 x x) #s(literal -3/25 binary64) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)))
✓	96.7%	(fma.f64 (*.f64 x #s(literal -3/25 binary64)) x #s(literal 1 binary64))
✓	99.8%	(fma.f64 x #s(literal -253/1000 binary64) (fma.f64 x (*.f64 x #s(literal -3/25 binary64)) #s(literal 1 binary64)))
✓	44.8%	(fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))
	55.7%	(/.f64 x (/.f64 #s(literal -25/3 binary64) x))
	55.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -3/25 binary64))))
✓	55.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -25/3 binary64) (*.f64 x x)))
	55.7%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 25/3 binary64) x) (/.f64 #s(literal -1 binary64) x)))
	55.8%	(/.f64 #s(literal 3/25 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
✓	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)))))
	55.8%	(.f64 (.f64 x x) #s(literal -3/25 binary64))
	55.8%	(.f64 (.f64 x #s(literal -3/25 binary64)) x)
✓	4.0%	(*.f64 x #s(literal -253/1000 binary64))
✓	42.6%	#s(literal 1 binary64)

Compiler

Compiled 366 to 179 computations (51.1% saved)

regimes33.0ms (0.4%)

Memory

-8.0MiB live, 30.6MiB allocated

Counts

29 → 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 0 binary64))
(fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))
(.f64 (.f64 x #s(literal -3/25 binary64)) x)
(.f64 (.f64 x x) #s(literal -3/25 binary64))
(fma.f64 #s(literal -3/25 binary64) (*.f64 x x) #s(literal 0 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))
(fma.f64 (+.f64 (*.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 x #s(literal -253/1000 binary64) (fma.f64 x (*.f64 x #s(literal -3/25 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)))
(/.f64 x (/.f64 #s(literal -25/3 binary64) x))
(-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 25/3 binary64) x)))
(/.f64 #s(literal 3/25 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -25/3 binary64) (*.f64 x x)))
(fma.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) #s(literal -3/25 binary64) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3/25 binary64)))))
(-.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)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -3/25 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 #s(literal -3/25 binary64) x) #s(literal 1 binary64))))
(/.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))))
(fma.f64 (/.f64 (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))) x #s(literal 1 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))
(-.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 (/.f64 #s(literal 25/3 binary64) x) (/.f64 #s(literal -1 binary64) x)))
(-.f64 #s(literal 1 binary64) (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (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)))))

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

Calls

3 calls:

16.0ms	(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))
8.0ms	(.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))
8.0ms	x

Results

Accuracy	Segments	Branch
99.8%	1	`x`
99.8%	1	`(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))`
99.8%	1	`(.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))`

Compiler

Compiled 20 to 15 computations (25% saved)

regimes10.0ms (0.1%)

Memory

15.6MiB live, 15.6MiB allocated

Counts

9 → 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 0 binary64))
(fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))
(.f64 (.f64 x #s(literal -3/25 binary64)) x)
(.f64 (.f64 x x) #s(literal -3/25 binary64))
(fma.f64 #s(literal -3/25 binary64) (*.f64 x x) #s(literal 0 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 x) #s(literal -3/25 binary64) #s(literal 1 binary64))

Calls

3 calls:

3.0ms	(.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))
3.0ms	x
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
96.7%	1	`x`
96.7%	1	`(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))`
96.7%	1	`(.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))`

Compiler

Compiled 20 to 15 computations (25% saved)

regimes18.0ms (0.2%)

Memory

-37.8MiB live, 16.2MiB allocated

Counts

8 → 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 0 binary64))
(fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))
(.f64 (.f64 x #s(literal -3/25 binary64)) x)
(.f64 (.f64 x x) #s(literal -3/25 binary64))
(fma.f64 #s(literal -3/25 binary64) (*.f64 x x) #s(literal 0 binary64))
(fma.f64 (*.f64 x #s(literal -3/25 binary64)) x #s(literal 1 binary64))

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

Calls

3 calls:

11.0ms	(.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))
3.0ms	x
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
96.7%	1	`x`
96.7%	1	`(.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))`
96.7%	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)

regimes9.0ms (0.1%)

Memory

13.4MiB live, 13.4MiB allocated

Counts

7 → 2

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

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

Calls

3 calls:

3.0ms	(.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))
3.0ms	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
97.2%	2	`(.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))`
97.2%	3	`x`
97.2%	2	`(-.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)

regimes5.0ms (0.1%)

Memory

7.9MiB live, 7.9MiB allocated

Counts

5 → 2

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

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

Calls

2 calls:

2.0ms	(.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))
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
97.2%	2	`(.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))`
97.2%	2	`(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))`

Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes24.0ms (0.3%)

Memory

-30.5MiB live, 7.9MiB allocated

Counts

4 → 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 0 binary64))
(fma.f64 #s(literal -253/1000 binary64) x #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
44.8%	1	`x`
44.8%	1	`(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))`
44.8%	1	`(.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))`

Compiler

Compiled 20 to 15 computations (25% saved)

regimes6.0ms (0.1%)

Memory

8.2MiB live, 8.2MiB allocated

Counts

3 → 2

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 0 binary64))

Outputs
#s(literal 1 binary64)
(*.f64 x #s(literal -253/1000 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
44.3%	2	`(.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))`
44.4%	2	`x`
44.3%	2	`(-.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)

regimes4.0ms (0%)

Memory

5.8MiB live, 5.8MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)

Outputs
#s(literal 1 binary64)

Calls

3 calls:

1.0ms	(.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
42.6%	1	`(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))`
42.6%	1	`(.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))`
42.6%	1	`x`

Compiler

Compiled 20 to 15 computations (25% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-9663.027739305819	0.999911756008759

Compiler

Compiled 13 to 12 computations (7.7% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-9663.027739305819	0.999911756008759

Compiler

Compiled 13 to 12 computations (7.7% saved)

bsearch16.0ms (0.2%)

Memory

11.5MiB live, 11.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	0.00034873279641628815	282.7321539366638

Samples

10.0ms

144×

valid

Compiler

Compiled 85 to 75 computations (11.8% saved)

Precisions

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

const: 4.0ms (57.4% of total)

ival-mult: 2.0ms (28.7% of total)

ival-sub: 1.0ms (14.4% of total)

ival-add: 1.0ms (14.4% of total)

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

exact: 0.0ms (0% of total)

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

simplify10.0ms (0.1%)

Memory

8.5MiB live, 8.5MiB allocated

Algorithm

1×	egg-herbie

Rules

24×	`*-commutative_binary64`
16×	`+-commutative_binary64`
14×	`sub-neg_binary64`
12×	`neg-sub0_binary64`
12×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	74
1	42	74
2	53	74
3	63	74
4	78	74
5	85	74
6	89	74
7	90	74

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) 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 -3/25 binary64)) x #s(literal 1 binary64))
(if (<=.f64 (-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))) #s(literal -5000 binary64)) (.f64 (.f64 x x) #s(literal -3/25 binary64)) (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64)))
(if (<=.f64 (-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))) #s(literal -5000 binary64)) (.f64 (.f64 x #s(literal -3/25 binary64)) x) (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64)))
(fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))
(if (<=.f64 x #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 x #s(literal -253/1000 binary64)))
#s(literal 1 binary64)

Outputs
(fma.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) 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 -3/25 binary64)) x #s(literal 1 binary64))
(if (<=.f64 (-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))) #s(literal -5000 binary64)) (.f64 (.f64 x x) #s(literal -3/25 binary64)) (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64)))
(if (<=.f64 (-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))) #s(literal -5000 binary64)) (.f64 #s(literal -3/25 binary64) (.f64 x x)) (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64)))
(if (<=.f64 (-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))) #s(literal -5000 binary64)) (.f64 (.f64 x #s(literal -3/25 binary64)) x) (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64)))
(if (<=.f64 (-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))) #s(literal -5000 binary64)) (.f64 x (.f64 x #s(literal -3/25 binary64))) (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64)))
(fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))
(if (<=.f64 x #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 x #s(literal -253/1000 binary64)))
#s(literal 1 binary64)

soundness1.7s (21.1%)

Memory

-160.1MiB live, 951.5MiB allocated

Rules

17 626×	`accelerator-lowering-fma.f32`
17 626×	`accelerator-lowering-fma.f64`
12 008×	`accelerator-lowering-fma.f32`
12 008×	`accelerator-lowering-fma.f64`
7 496×	`accelerator-lowering-fma.f32`

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
0	38	572
1	100	572
2	296	554
3	644	554
4	1159	554
5	2505	554
6	4157	554
7	5216	554
8	6571	554
9	7576	554
0	8051	473
0	25	96
1	161	92
2	1215	92
0	8601	77
0	18	61
1	126	55
2	938	55
0	8292	45
0	26	90
1	152	70
2	1148	70
0	8635	63
0	136	1014
1	384	1006
2	921	974
3	2065	966
4	5236	966
0	8303	849
0	8	24
1	51	24
2	425	24
3	4315	24
0	8268	20

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

Compiler

Compiled 207 to 125 computations (39.6% saved)

preprocess44.0ms (0.5%)

Memory: -3.2MiB live, 115.1MiB allocated
Compiler: Compiled 170 to 70 computations (58.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

sample1.0s (12.7%)

preprocess62.0ms (0.7%)

explain109.0ms (1.3%)

eval4.0ms (0%)

prune1.0ms (0%)

simplify31.0ms (0.4%)

localize56.0ms (0.7%)

series3.0ms (0%)

rewrite372.0ms (4.5%)

simplify332.0ms (4%)

eval54.0ms (0.7%)

prune76.0ms (0.9%)

simplify6.0ms (0.1%)

localize82.0ms (1%)

series4.0ms (0%)

rewrite639.0ms (7.7%)

simplify297.0ms (3.6%)

eval129.0ms (1.6%)

prune54.0ms (0.7%)

simplify45.0ms (0.5%)

localize93.0ms (1.1%)

series7.0ms (0.1%)

rewrite675.0ms (8.2%)

simplify397.0ms (4.8%)

eval133.0ms (1.6%)

prune160.0ms (1.9%)

simplify344.0ms (4.2%)

localize99.0ms (1.2%)

series7.0ms (0.1%)

rewrite470.0ms (5.7%)

simplify282.0ms (3.4%)

eval107.0ms (1.3%)

prune144.0ms (1.7%)

regimes33.0ms (0.4%)

regimes10.0ms (0.1%)

regimes18.0ms (0.2%)

regimes9.0ms (0.1%)

regimes5.0ms (0.1%)

regimes24.0ms (0.3%)

regimes6.0ms (0.1%)

regimes4.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch16.0ms (0.2%)

simplify10.0ms (0.1%)

soundness1.7s (21.1%)

preprocess44.0ms (0.5%)

end0.0ms (0%)

Profiling