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

analyze0.0ms (0%)

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 9 computations (18.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

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

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

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

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

sample725.0ms (6.5%)

Results

530.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 344.0ms

ival-mult: 217.0ms (63.1% of total)

ival-sub: 57.0ms (16.6% of total)

ival-add: 50.0ms (14.5% of total)

const: 17.0ms (4.9% of total)

backward-pass: 3.0ms (0.9% of total)

Bogosity

preprocess63.0ms (0.6%)

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

FPErrors

Click to see full error table

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

Results

63.0ms

512×

valid

Compiler

Compiled 70 to 54 computations (22.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

ival-mult: 25.0ms (67% of total)

ival-add: 7.0ms (18.8% of total)

ival-sub: 3.0ms (8% of total)

const: 3.0ms (8% of total)

backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler: Compiled 10 to 8 computations (20% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

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

Compiler

Compiled 10 to 8 computations (20% saved)

localize92.0ms (0.8%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

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

Results

31.0ms

256×

valid

Compiler

Compiled 30 to 23 computations (23.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-mult: 14.0ms (69.6% of total)

ival-add: 4.0ms (19.9% of total)

ival-sub: 1.0ms (5% of total)

const: 1.0ms (5% of total)

backward-pass: 0.0ms (0% of total)

series8.0ms (0.1%)

Counts

4 → 48

Calls

Call 1

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

Outputs
#<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 (* 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 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))>

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(* x (+ 253/1000 (* x 3/25)))
0.0ms	x	@	-inf	(* x 3/25)
0.0ms	x	@	-inf	(* x (+ 253/1000 (* x 3/25)))
0.0ms	x	@	inf	(* x 3/25)
0.0ms	x	@	0	(* x 3/25)

rewrite611.0ms (5.5%)

Algorithm

1×	batch-egg-rewrite

Rules

4504×	`accelerator-lowering-fma.f32`
4504×	`accelerator-lowering-fma.f64`
4210×	`-lowering-.f32`
4210×	`-lowering-.f64`
2686×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	24
1	51	24
2	425	24
3	4311	24
0	8260	20

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 317

Calls

Call 1

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

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

simplify426.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

5044×	`accelerator-lowering-fma.f32`
5044×	`accelerator-lowering-fma.f64`
3798×	`-lowering-.f32`
3798×	`-lowering-.f64`
1534×	`cube-prod`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	254
1	93	254
2	217	248
3	498	248
4	1012	248
5	2374	248
6	4090	248
7	5190	248
8	6475	248
9	7517	248
0	8001	215

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 48

Calls

Call 1

Inputs
(* 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)
(* 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))))
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))

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

eval122.0ms (1.1%)

Compiler: Compiled 10419 to 7565 computations (27.4% saved)

prune57.0ms (0.5%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	356	9	365
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	356	10	366

Accuracy

100.0%

Counts

366 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	92.7%	(-.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 (.f64 (.f64 x x) #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) x) (+.f64 (.f64 x #s(literal 3/25 binary64)) #s(literal -253/1000 binary64))))
▶	99.8%	(-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 3/25 binary64)) #s(literal 253/1000 binary64)))))
	92.7%	(-.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.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))))))
▶	99.8%	(-.f64 #s(literal 1 binary64) (.f64 x (/.f64 (+.f64 (.f64 (.f64 x x) #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (+.f64 (.f64 x #s(literal 3/25 binary64)) #s(literal -253/1000 binary64)))))
▶	99.8%	(-.f64 #s(literal 1 binary64) (.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x #s(literal 3/25 binary64)) #s(literal -253/1000 binary64)) (+.f64 (.f64 (.f64 x x) #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64))))))
✓	99.9%	(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))
▶	53.6%	(-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 253/1000 binary64)))
	48.4%	(.f64 (.f64 x x) #s(literal -3/25 binary64))
	49.3%	(.f64 x (-.f64 #s(literal -253/1000 binary64) (.f64 #s(literal 3/25 binary64) x)))
▶	52.1%	#s(literal 1 binary64)

Compiler

Compiled 230 to 182 computations (20.9% saved)

localize640.0ms (5.8%)

Algorithm

1×	egg-herbie

Localize:

Found 28 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 (+.f64 (.f64 x #s(literal 3/25 binary64)) #s(literal -253/1000 binary64)) (+.f64 (.f64 (*.f64 x x) #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)))
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x #s(literal 3/25 binary64)) #s(literal -253/1000 binary64)) (+.f64 (.f64 (*.f64 x x) #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64))))
✓	cost-diff	128	(.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x #s(literal 3/25 binary64)) #s(literal -253/1000 binary64)) (+.f64 (.f64 (.f64 x x) #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)))))
✓	cost-diff	128	(-.f64 #s(literal 1 binary64) (.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x #s(literal 3/25 binary64)) #s(literal -253/1000 binary64)) (+.f64 (.f64 (.f64 x x) #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64))))))
✓	cost-diff	0	(+.f64 (*.f64 x #s(literal 3/25 binary64)) #s(literal 253/1000 binary64))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 3/25 binary64)) #s(literal 253/1000 binary64)))
✓	cost-diff	128	(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 3/25 binary64)) #s(literal 253/1000 binary64))))
✓	cost-diff	128	(-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 3/25 binary64)) #s(literal 253/1000 binary64)))))
✓	cost-diff	0	(*.f64 x #s(literal 253/1000 binary64))
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 253/1000 binary64)))
✓	cost-diff	0	(+.f64 (.f64 (.f64 x x) #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64))
✓	cost-diff	0	(/.f64 (+.f64 (.f64 (.f64 x x) #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (+.f64 (*.f64 x #s(literal 3/25 binary64)) #s(literal -253/1000 binary64)))
✓	cost-diff	0	(.f64 x (/.f64 (+.f64 (.f64 (.f64 x x) #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (+.f64 (.f64 x #s(literal 3/25 binary64)) #s(literal -253/1000 binary64))))
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (.f64 x (/.f64 (+.f64 (.f64 (.f64 x x) #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (+.f64 (.f64 x #s(literal 3/25 binary64)) #s(literal -253/1000 binary64)))))
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x #s(literal 3/25 binary64)) #s(literal -253/1000 binary64)) (+.f64 (.f64 (*.f64 x x) #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64))))
✓	accuracy	99.6%	(*.f64 x #s(literal 3/25 binary64))
✓	accuracy	99.5%	(.f64 (.f64 x x) #s(literal 9/625 binary64))
✓	accuracy	76.8%	(/.f64 (+.f64 (.f64 x #s(literal 3/25 binary64)) #s(literal -253/1000 binary64)) (+.f64 (.f64 (*.f64 x x) #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)))
✓	accuracy	100.0%	(+.f64 (*.f64 x #s(literal 3/25 binary64)) #s(literal 253/1000 binary64))
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 3/25 binary64)) #s(literal 253/1000 binary64)))
✓	accuracy	99.7%	(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 3/25 binary64)) #s(literal 253/1000 binary64))))
✓	accuracy	99.6%	(*.f64 x #s(literal 3/25 binary64))
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 253/1000 binary64)))
✓	accuracy	99.9%	(*.f64 x #s(literal 253/1000 binary64))
✓	accuracy	99.9%	(.f64 x (/.f64 (+.f64 (.f64 (.f64 x x) #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (+.f64 (.f64 x #s(literal 3/25 binary64)) #s(literal -253/1000 binary64))))
✓	accuracy	99.6%	(*.f64 x #s(literal 3/25 binary64))
✓	accuracy	99.5%	(.f64 (.f64 x x) #s(literal 9/625 binary64))
✓	accuracy	77.6%	(/.f64 (+.f64 (.f64 (.f64 x x) #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (+.f64 (*.f64 x #s(literal 3/25 binary64)) #s(literal -253/1000 binary64)))

Rules

2872×	`accelerator-lowering-fma.f32`
2872×	`accelerator-lowering-fma.f64`
1464×	`-lowering-.f32`
1464×	`-lowering-.f64`
646×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	173
1	60	169
2	156	169
3	560	169
4	1498	169
5	2131	169
6	2815	169
7	3884	169
8	4541	169
9	4682	169
10	4687	169
11	4691	169
12	4692	169
13	4748	169
14	4768	169
15	4768	169
0	4768	145

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

Results

266.0ms

256×

valid

Compiler

Compiled 220 to 154 computations (30% saved)

Precisions

Click to see histograms. Total time spent on operations: 219.0ms

ival-mult: 95.0ms (43.4% of total)

ival-div: 79.0ms (36.1% of total)

ival-add: 30.0ms (13.7% of total)

const: 9.0ms (4.1% of total)

ival-sub: 5.0ms (2.3% of total)

backward-pass: 0.0ms (0% of total)

series23.0ms (0.2%)

Counts

16 → 192

Calls

Call 1

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

Outputs
#<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 (* 9/625 (pow x 2))>
#<alt (* 9/625 (pow x 2))>
#<alt (* 9/625 (pow x 2))>
#<alt (* 9/625 (pow x 2))>
#<alt (* 9/625 (pow x 2))>
#<alt (* 9/625 (pow x 2))>
#<alt (* 9/625 (pow x 2))>
#<alt (* 9/625 (pow x 2))>
#<alt (* 9/625 (pow x 2))>
#<alt (* 9/625 (pow x 2))>
#<alt (* 9/625 (pow x 2))>
#<alt (* 9/625 (pow x 2))>
#<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 (* 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 (* 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 (* -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 (* 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 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 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 -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 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 (- (* -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 x)>
#<alt (* x (+ 253/1000 (* 3/25 x)))>
#<alt (* x (+ 253/1000 (* 3/25 x)))>
#<alt (* x (+ 253/1000 (* 3/25 x)))>
#<alt (* 3/25 (pow x 2))>
#<alt (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))>
#<alt (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))>
#<alt (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))>
#<alt (* 3/25 (pow x 2))>
#<alt (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))>
#<alt (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))>
#<alt (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))>

Calls

48 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(- 1 (* x (/ (+ (* (* x x) 9/625) -64009/1000000) (+ (* x 3/25) -253/1000))))
1.0ms	x	@	inf	(- 1 (* x (/ (+ (* (* x x) 9/625) -64009/1000000) (+ (* x 3/25) -253/1000))))
1.0ms	x	@	-inf	(/ (+ (* (* x x) 9/625) -64009/1000000) (+ (* x 3/25) -253/1000))
0.0ms	x	@	inf	(/ (+ (* (* x x) 9/625) -64009/1000000) (+ (* x 3/25) -253/1000))
0.0ms	x	@	0	(/ (+ (* (* x x) 9/625) -64009/1000000) (+ (* x 3/25) -253/1000))

rewrite726.0ms (6.5%)

Algorithm

1×	batch-egg-rewrite

Rules

6064×	`accelerator-lowering-fma.f32`
6064×	`accelerator-lowering-fma.f64`
5046×	`-lowering-.f32`
5046×	`-lowering-.f64`
4818×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	172
1	172	100
2	1404	100
0	8710	87

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 1214

Calls

Call 1

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

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

simplify673.0ms (6.1%)

Algorithm

1×	egg-herbie

Rules

11464×	`accelerator-lowering-fma.f32`
11464×	`accelerator-lowering-fma.f64`
3142×	`-lowering-.f32`
3142×	`-lowering-.f64`
1700×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	103	1136
1	281	1120
2	639	1102
3	1459	1094
4	3414	1094
5	6785	1094
0	8294	965

Stop Event

1×	iter limit
1×	node limit

Counts

192 → 192

Calls

Call 1

Inputs
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))))
(* 9/625 (pow x 2))
(* 9/625 (pow x 2))
(* 9/625 (pow x 2))
(* 9/625 (pow x 2))
(* 9/625 (pow x 2))
(* 9/625 (pow x 2))
(* 9/625 (pow x 2))
(* 9/625 (pow x 2))
(* 9/625 (pow x 2))
(* 9/625 (pow x 2))
(* 9/625 (pow x 2))
(* 9/625 (pow x 2))
(* 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)
(* 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))))
(* 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 (* -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))))
(* 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))))
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))))
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))
-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)))))
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 (- (* -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 x)
(* x (+ 253/1000 (* 3/25 x)))
(* x (+ 253/1000 (* 3/25 x)))
(* x (+ 253/1000 (* 3/25 x)))
(* 3/25 (pow x 2))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(* 3/25 (pow x 2))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))

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

eval556.0ms (5%)

Compiler: Compiled 37058 to 26306 computations (29% saved)

prune203.0ms (1.8%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	1500	5	1505
Fresh	2	2	4
Picked	3	2	5
Done	0	1	1
Total	1505	10	1515

Accuracy

100.0%

Counts

1515 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (+.f64 (.f64 x #s(literal 3/25 binary64)) #s(literal -253/1000 binary64)) (+.f64 #s(literal -64009/1000000 binary64) (.f64 (*.f64 x x) #s(literal 9/625 binary64))))))
	98.6%	(-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 25/3 binary64) x)))
	99.0%	(-.f64 #s(literal 1 binary64) (.f64 x (/.f64 (.f64 x (.f64 x #s(literal 9/625 binary64))) (+.f64 (.f64 x #s(literal 3/25 binary64)) #s(literal -253/1000 binary64)))))
✓	99.9%	(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))
✓	53.6%	(-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 253/1000 binary64)))
▶	48.4%	(.f64 (.f64 x x) #s(literal -3/25 binary64))
▶	49.3%	(.f64 x (-.f64 #s(literal -253/1000 binary64) (.f64 #s(literal 3/25 binary64) x)))
▶	48.3%	(.f64 x (.f64 x #s(literal -3/25 binary64)))
▶	3.6%	(*.f64 x #s(literal -253/1000 binary64))
✓	52.1%	#s(literal 1 binary64)

Compiler

Compiled 150 to 113 computations (24.7% saved)

localize421.0ms (3.8%)

Algorithm

1×	egg-herbie

Localize:

Found 24 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 #s(literal 3/25 binary64) x)
✓	cost-diff	0	(-.f64 #s(literal -253/1000 binary64) (*.f64 #s(literal 3/25 binary64) x))
✓	cost-diff	0	(.f64 x (-.f64 #s(literal -253/1000 binary64) (.f64 #s(literal 3/25 binary64) x)))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 (.f64 x x) #s(literal -3/25 binary64))
✓	cost-diff	0	(*.f64 x #s(literal -3/25 binary64))
✓	cost-diff	0	(.f64 x (.f64 x #s(literal -3/25 binary64)))
✓	cost-diff	0	(*.f64 x #s(literal -253/1000 binary64))
✓	cost-diff	0	(+.f64 (*.f64 x #s(literal 3/25 binary64)) #s(literal -253/1000 binary64))
✓	cost-diff	0	(/.f64 (+.f64 (.f64 x #s(literal 3/25 binary64)) #s(literal -253/1000 binary64)) (+.f64 #s(literal -64009/1000000 binary64) (.f64 (*.f64 x x) #s(literal 9/625 binary64))))
✓	cost-diff	0	(/.f64 x (/.f64 (+.f64 (.f64 x #s(literal 3/25 binary64)) #s(literal -253/1000 binary64)) (+.f64 #s(literal -64009/1000000 binary64) (.f64 (*.f64 x x) #s(literal 9/625 binary64)))))
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (+.f64 (.f64 x #s(literal 3/25 binary64)) #s(literal -253/1000 binary64)) (+.f64 #s(literal -64009/1000000 binary64) (.f64 (*.f64 x x) #s(literal 9/625 binary64))))))
✓	accuracy	100.0%	(-.f64 #s(literal -253/1000 binary64) (*.f64 #s(literal 3/25 binary64) x))
✓	accuracy	99.9%	(.f64 x (-.f64 #s(literal -253/1000 binary64) (.f64 #s(literal 3/25 binary64) x)))
✓	accuracy	99.6%	(*.f64 #s(literal 3/25 binary64) x)
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.7%	(.f64 (.f64 x x) #s(literal -3/25 binary64))
✓	accuracy	99.9%	(.f64 x (.f64 x #s(literal -3/25 binary64)))
✓	accuracy	99.6%	(*.f64 x #s(literal -3/25 binary64))
✓	accuracy	99.9%	(*.f64 x #s(literal -253/1000 binary64))
✓	accuracy	99.7%	(/.f64 x (/.f64 (+.f64 (.f64 x #s(literal 3/25 binary64)) #s(literal -253/1000 binary64)) (+.f64 #s(literal -64009/1000000 binary64) (.f64 (*.f64 x x) #s(literal 9/625 binary64)))))
✓	accuracy	99.6%	(*.f64 x #s(literal 3/25 binary64))
✓	accuracy	99.5%	(.f64 (.f64 x x) #s(literal 9/625 binary64))
✓	accuracy	76.8%	(/.f64 (+.f64 (.f64 x #s(literal 3/25 binary64)) #s(literal -253/1000 binary64)) (+.f64 #s(literal -64009/1000000 binary64) (.f64 (*.f64 x x) #s(literal 9/625 binary64))))

Rules

2584×	`accelerator-lowering-fma.f32`
2584×	`accelerator-lowering-fma.f64`
1400×	`-lowering-.f32`
1400×	`-lowering-.f64`
776×	`distribute-lft-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	106
1	45	106
2	79	106
3	221	106
4	580	106
5	891	106
6	1404	106
7	2420	106
8	3350	106
9	4124	106
10	4402	106
11	4480	106
12	4497	106
13	4502	106
14	4692	106
15	4772	106
16	4774	106
17	4774	106
18	4774	106
0	4774	95

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

Results

110.0ms

256×

valid

Compiler

Compiled 119 to 76 computations (36.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 76.0ms

ival-mult: 46.0ms (60.8% of total)

ival-div: 12.0ms (15.9% of total)

ival-add: 9.0ms (11.9% of total)

ival-sub: 4.0ms (5.3% of total)

const: 4.0ms (5.3% of total)

backward-pass: 0.0ms (0% of total)

series17.0ms (0.2%)

Counts

14 → 168

Calls

Call 1

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

Outputs
#<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 (* 9/625 (pow x 2))>
#<alt (* 9/625 (pow x 2))>
#<alt (* 9/625 (pow x 2))>
#<alt (* 9/625 (pow x 2))>
#<alt (* 9/625 (pow x 2))>
#<alt (* 9/625 (pow x 2))>
#<alt (* 9/625 (pow x 2))>
#<alt (* 9/625 (pow x 2))>
#<alt (* 9/625 (pow x 2))>
#<alt (* 9/625 (pow x 2))>
#<alt (* 9/625 (pow x 2))>
#<alt (* 9/625 (pow x 2))>
#<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 (* 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 (* -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 (* -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 (* -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 (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 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 (* x (- (* -3/25 x) 253/1000))>
#<alt (* x (- (* -3/25 x) 253/1000))>
#<alt (* x (- (* -3/25 x) 253/1000))>
#<alt (* -3/25 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -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 (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<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 -253/1000>
#<alt (- (* 3/25 x) 253/1000)>
#<alt (- (* 3/25 x) 253/1000)>
#<alt (- (* 3/25 x) 253/1000)>
#<alt (* 3/25 x)>
#<alt (* x (- 3/25 (* 253/1000 (/ 1 x))))>
#<alt (* x (- 3/25 (* 253/1000 (/ 1 x))))>
#<alt (* x (- 3/25 (* 253/1000 (/ 1 x))))>
#<alt (* 3/25 x)>
#<alt (* -1 (* x (- (* 253/1000 (/ 1 x)) 3/25)))>
#<alt (* -1 (* x (- (* 253/1000 (/ 1 x)) 3/25)))>
#<alt (* -1 (* x (- (* 253/1000 (/ 1 x)) 3/25)))>

Calls

42 calls:

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

rewrite654.0ms (5.9%)

Algorithm

1×	batch-egg-rewrite

Rules

6708×	`accelerator-lowering-fma.f32`
6708×	`accelerator-lowering-fma.f64`
4246×	`-lowering-.f32`
4246×	`-lowering-.f64`
3564×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	92
1	117	70
2	892	70
0	8553	63

Stop Event

1×	iter limit
1×	node limit

Counts

14 → 588

Calls

Call 1

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

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

simplify898.0ms (8.1%)

Algorithm

1×	egg-herbie

Rules

10832×	`accelerator-lowering-fma.f32`
10832×	`accelerator-lowering-fma.f64`
3168×	`-lowering-.f32`
3168×	`-lowering-.f64`
1580×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	100	812
1	276	804
2	650	804
3	1422	800
4	3302	800
5	6598	800
0	8226	743

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 168

Calls

Call 1

Inputs
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))
(* 9/625 (pow x 2))
(* 9/625 (pow x 2))
(* 9/625 (pow x 2))
(* 9/625 (pow x 2))
(* 9/625 (pow x 2))
(* 9/625 (pow x 2))
(* 9/625 (pow x 2))
(* 9/625 (pow x 2))
(* 9/625 (pow x 2))
(* 9/625 (pow x 2))
(* 9/625 (pow x 2))
(* 9/625 (pow x 2))
(* 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)
(* 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))))
(* -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)
(* -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))
(* -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))
(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 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)
(* x (- (* -3/25 x) 253/1000))
(* x (- (* -3/25 x) 253/1000))
(* x (- (* -3/25 x) 253/1000))
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -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)))))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
-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))
-253/1000
(- (* 3/25 x) 253/1000)
(- (* 3/25 x) 253/1000)
(- (* 3/25 x) 253/1000)
(* 3/25 x)
(* x (- 3/25 (* 253/1000 (/ 1 x))))
(* x (- 3/25 (* 253/1000 (/ 1 x))))
(* x (- 3/25 (* 253/1000 (/ 1 x))))
(* 3/25 x)
(* -1 (* x (- (* 253/1000 (/ 1 x)) 3/25)))
(* -1 (* x (- (* 253/1000 (/ 1 x)) 3/25)))
(* -1 (* x (- (* 253/1000 (/ 1 x)) 3/25)))

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

eval389.0ms (3.5%)

Compiler: Compiled 18732 to 13321 computations (28.9% saved)

prune165.0ms (1.5%)

Pruning

12 alts after pruning (5 fresh and 7 done)

	Pruned	Kept	Total
New	774	4	778
Fresh	1	1	2
Picked	1	4	5
Done	0	3	3
Total	776	12	788

Accuracy

100.0%

Counts

788 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	42.1%	(/.f64 (.f64 x (+.f64 #s(literal -64009/1000000 binary64) (.f64 x (.f64 x #s(literal 9/625 binary64))))) (+.f64 (.f64 x #s(literal -3/25 binary64)) #s(literal 253/1000 binary64)))
▶	49.2%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -253/1000 binary64) (*.f64 x #s(literal -3/25 binary64)))) x))
▶	57.4%	(-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (.f64 x #s(literal 3/25 binary64)) (+.f64 #s(literal -64009/1000000 binary64) (.f64 (*.f64 x x) #s(literal 9/625 binary64))))))
▶	98.6%	(-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 25/3 binary64) x)))
✓	99.9%	(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))
✓	53.6%	(-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 253/1000 binary64)))
✓	48.4%	(.f64 (.f64 x x) #s(literal -3/25 binary64))
▶	48.3%	(.f64 x (/.f64 (.f64 (.f64 x x) #s(literal -9/625 binary64)) (+.f64 #s(literal 0 binary64) (.f64 x #s(literal 3/25 binary64)))))
✓	49.3%	(.f64 x (-.f64 #s(literal -253/1000 binary64) (.f64 #s(literal 3/25 binary64) x)))
✓	48.3%	(.f64 x (.f64 x #s(literal -3/25 binary64)))
✓	3.6%	(*.f64 x #s(literal -253/1000 binary64))
✓	52.1%	#s(literal 1 binary64)

Compiler

Compiled 174 to 132 computations (24.1% saved)

localize828.0ms (7.5%)

Algorithm

1×	egg-herbie

Localize:

Found 38 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 x (.f64 x #s(literal 9/625 binary64)))
✓	cost-diff	0	(+.f64 #s(literal -64009/1000000 binary64) (.f64 x (.f64 x #s(literal 9/625 binary64))))
✓	cost-diff	0	(.f64 x (+.f64 #s(literal -64009/1000000 binary64) (.f64 x (*.f64 x #s(literal 9/625 binary64)))))
✓	cost-diff	0	(/.f64 (.f64 x (+.f64 #s(literal -64009/1000000 binary64) (.f64 x (.f64 x #s(literal 9/625 binary64))))) (+.f64 (.f64 x #s(literal -3/25 binary64)) #s(literal 253/1000 binary64)))
✓	cost-diff	0	(*.f64 x #s(literal 3/25 binary64))
✓	cost-diff	128	(/.f64 (.f64 x #s(literal 3/25 binary64)) (+.f64 #s(literal -64009/1000000 binary64) (.f64 (*.f64 x x) #s(literal 9/625 binary64))))
✓	cost-diff	384	(/.f64 x (/.f64 (.f64 x #s(literal 3/25 binary64)) (+.f64 #s(literal -64009/1000000 binary64) (.f64 (*.f64 x x) #s(literal 9/625 binary64)))))
✓	cost-diff	512	(-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (.f64 x #s(literal 3/25 binary64)) (+.f64 #s(literal -64009/1000000 binary64) (.f64 (*.f64 x x) #s(literal 9/625 binary64))))))
✓	cost-diff	0	(.f64 (.f64 x x) #s(literal -9/625 binary64))
✓	cost-diff	128	(+.f64 #s(literal 0 binary64) (*.f64 x #s(literal 3/25 binary64)))
✓	cost-diff	512	(/.f64 (.f64 (.f64 x x) #s(literal -9/625 binary64)) (+.f64 #s(literal 0 binary64) (*.f64 x #s(literal 3/25 binary64))))
✓	cost-diff	512	(.f64 x (/.f64 (.f64 (.f64 x x) #s(literal -9/625 binary64)) (+.f64 #s(literal 0 binary64) (.f64 x #s(literal 3/25 binary64)))))
✓	cost-diff	0	(+.f64 #s(literal -253/1000 binary64) (*.f64 x #s(literal -3/25 binary64)))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal -253/1000 binary64) (*.f64 x #s(literal -3/25 binary64))))
✓	cost-diff	0	(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -253/1000 binary64) (*.f64 x #s(literal -3/25 binary64)))) x)
✓	cost-diff	256	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -253/1000 binary64) (*.f64 x #s(literal -3/25 binary64)))) x))
✓	cost-diff	0	(/.f64 #s(literal 25/3 binary64) x)
✓	cost-diff	0	(/.f64 x (/.f64 #s(literal 25/3 binary64) x))
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 25/3 binary64) x)))
✓	accuracy	99.7%	(.f64 x (+.f64 #s(literal -64009/1000000 binary64) (.f64 x (*.f64 x #s(literal 9/625 binary64)))))
✓	accuracy	99.7%	(*.f64 x #s(literal 9/625 binary64))
✓	accuracy	99.6%	(*.f64 x #s(literal -3/25 binary64))
✓	accuracy	92.5%	(/.f64 (.f64 x (+.f64 #s(literal -64009/1000000 binary64) (.f64 x (.f64 x #s(literal 9/625 binary64))))) (+.f64 (.f64 x #s(literal -3/25 binary64)) #s(literal 253/1000 binary64)))
✓	accuracy	99.6%	(*.f64 x #s(literal 3/25 binary64))
✓	accuracy	99.5%	(.f64 (.f64 x x) #s(literal 9/625 binary64))
✓	accuracy	99.2%	(-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (.f64 x #s(literal 3/25 binary64)) (+.f64 #s(literal -64009/1000000 binary64) (.f64 (*.f64 x x) #s(literal 9/625 binary64))))))
✓	accuracy	77.3%	(/.f64 (.f64 x #s(literal 3/25 binary64)) (+.f64 #s(literal -64009/1000000 binary64) (.f64 (*.f64 x x) #s(literal 9/625 binary64))))
✓	accuracy	99.9%	(.f64 x (/.f64 (.f64 (.f64 x x) #s(literal -9/625 binary64)) (+.f64 #s(literal 0 binary64) (.f64 x #s(literal 3/25 binary64)))))
✓	accuracy	99.6%	(*.f64 x #s(literal 3/25 binary64))
✓	accuracy	99.5%	(.f64 (.f64 x x) #s(literal -9/625 binary64))
✓	accuracy	55.4%	(/.f64 (.f64 (.f64 x x) #s(literal -9/625 binary64)) (+.f64 #s(literal 0 binary64) (*.f64 x #s(literal 3/25 binary64))))
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal -253/1000 binary64) (*.f64 x #s(literal -3/25 binary64))))
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -253/1000 binary64) (*.f64 x #s(literal -3/25 binary64)))) x))
✓	accuracy	99.7%	(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -253/1000 binary64) (*.f64 x #s(literal -3/25 binary64)))) x)
✓	accuracy	99.6%	(*.f64 x #s(literal -3/25 binary64))
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 25/3 binary64) x)))
✓	accuracy	99.8%	(/.f64 x (/.f64 #s(literal 25/3 binary64) x))
✓	accuracy	99.3%	(/.f64 #s(literal 25/3 binary64) x)

Rules

7016×	`accelerator-lowering-fma.f32`
7016×	`accelerator-lowering-fma.f64`
4100×	`-lowering-.f32`
4100×	`-lowering-.f64`
1850×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	184
1	82	178
2	197	160
3	620	160
4	1681	158
5	3235	158
6	5549	158
0	8127	144

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

Results

244.0ms

256×

valid

Compiler

Compiled 217 to 146 computations (32.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 186.0ms

ival-div: 94.0ms (50.6% of total)

ival-mult: 62.0ms (33.3% of total)

ival-add: 20.0ms (10.8% of total)

const: 7.0ms (3.8% of total)

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

backward-pass: 0.0ms (0% of total)

series30.0ms (0.3%)

Counts

22 → 264

Calls

Call 1

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

Outputs
#<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 (* 3/25 (pow x 2))>
#<alt (* 3/25 (pow x 2))>
#<alt (* 3/25 (pow x 2))>
#<alt (* 3/25 (pow x 2))>
#<alt (* 3/25 (pow x 2))>
#<alt (* 3/25 (pow x 2))>
#<alt (* 3/25 (pow x 2))>
#<alt (* 3/25 (pow x 2))>
#<alt (* 3/25 (pow x 2))>
#<alt (* 3/25 (pow x 2))>
#<alt (* 3/25 (pow x 2))>
#<alt (* 3/25 (pow x 2))>
#<alt 1>
#<alt (+ 1 (* -3/25 (pow x 2)))>
#<alt (+ 1 (* -3/25 (pow x 2)))>
#<alt (+ 1 (* -3/25 (pow x 2)))>
#<alt (* -3/25 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 3/25))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 3/25))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 3/25))>
#<alt (* -3/25 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 3/25))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 3/25))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 3/25))>
#<alt (* -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 (/ -1000/253 x)>
#<alt (/ (- (* 120000/64009 x) 1000/253) x)>
#<alt (/ (- (* x (+ 120000/64009 (* -14400000/16194277 x))) 1000/253) x)>
#<alt (/ (- (* x (+ 120000/64009 (* x (- (* 1728000000/4097152081 x) 14400000/16194277)))) 1000/253) x)>
#<alt (/ -25/3 (pow x 2))>
#<alt (/ (- (* 1265/72 (/ 1 x)) 25/3) (pow x 2))>
#<alt (/ (- (* 1265/72 (/ 1 x)) (+ 25/3 (/ 64009/1728 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ (* 1265/72 (/ 1 x)) (* 16194277/207360 (/ 1 (pow x 3)))) (+ 25/3 (/ 64009/1728 (pow x 2)))) (pow x 2))>
#<alt (/ -25/3 (pow x 2))>
#<alt (/ (- (* 1265/72 (/ 1 x)) 25/3) (pow x 2))>
#<alt (/ (- (* -1 (/ (- (* 64009/1728 (/ 1 x)) 1265/72) x)) 25/3) (pow x 2))>
#<alt (/ (- (* -1 (/ (- (* -1 (/ (- (* 16194277/207360 (/ 1 x)) 64009/1728) x)) 1265/72) x)) 25/3) (pow x 2))>
#<alt (* -253/1000 x)>
#<alt (* x (- (* -3/25 x) 253/1000))>
#<alt (* x (- (* -3/25 x) 253/1000))>
#<alt (* x (- (* -3/25 x) 253/1000))>
#<alt (* -3/25 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -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 (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt -1000/253>
#<alt (- (* 120000/64009 x) 1000/253)>
#<alt (- (* x (+ 120000/64009 (* -14400000/16194277 x))) 1000/253)>
#<alt (- (* x (+ 120000/64009 (* x (- (* 1728000000/4097152081 x) 14400000/16194277)))) 1000/253)>
#<alt (/ -25/3 x)>
#<alt (/ (- (* 1265/72 (/ 1 x)) 25/3) x)>
#<alt (/ (- (* 1265/72 (/ 1 x)) (+ 25/3 (/ 64009/1728 (pow x 2)))) x)>
#<alt (/ (- (+ (* 1265/72 (/ 1 x)) (* 16194277/207360 (/ 1 (pow x 3)))) (+ 25/3 (/ 64009/1728 (pow x 2)))) x)>
#<alt (/ -25/3 x)>
#<alt (* -1 (/ (- 25/3 (* 1265/72 (/ 1 x))) x))>
#<alt (* -1 (/ (+ 25/3 (* -1 (/ (- 1265/72 (* 64009/1728 (/ 1 x))) x))) x))>
#<alt (* -1 (/ (+ 25/3 (* -1 (/ (+ 1265/72 (* -1 (/ (- 64009/1728 (* 16194277/207360 (/ 1 x))) x))) x))) 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)>
#<alt (* -9/625 (pow x 2))>
#<alt (* -9/625 (pow x 2))>
#<alt (* -9/625 (pow x 2))>
#<alt (* -9/625 (pow x 2))>
#<alt (* -9/625 (pow x 2))>
#<alt (* -9/625 (pow x 2))>
#<alt (* -9/625 (pow x 2))>
#<alt (* -9/625 (pow x 2))>
#<alt (* -9/625 (pow x 2))>
#<alt (* -9/625 (pow x 2))>
#<alt (* -9/625 (pow x 2))>
#<alt (* -9/625 (pow x 2))>
#<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 (* -120000/64009 x)>
#<alt (* x (- (* -1728000000/4097152081 (pow x 2)) 120000/64009))>
#<alt (* x (- (* (pow x 2) (- (* -24883200000000/262254607552729 (pow x 2)) 1728000000/4097152081)) 120000/64009))>
#<alt (* x (- (* (pow x 2) (- (* (pow x 2) (- (* -358318080000000000/16786655174842630561 (pow x 2)) 24883200000000/262254607552729)) 1728000000/4097152081)) 120000/64009))>
#<alt (/ 25/3 x)>
#<alt (/ (+ 25/3 (* 64009/1728 (/ 1 (pow x 2)))) x)>
#<alt (/ (+ 25/3 (+ (* 64009/1728 (/ 1 (pow x 2))) (/ 4097152081/24883200 (pow x 4)))) x)>
#<alt (/ (+ 25/3 (+ (* 64009/1728 (/ 1 (pow x 2))) (+ (* 262254607552729/358318080000 (/ 1 (pow x 6))) (/ 4097152081/24883200 (pow x 4))))) x)>
#<alt (/ 25/3 x)>
#<alt (/ (+ 25/3 (* 64009/1728 (/ 1 (pow x 2)))) x)>
#<alt (* -1 (/ (- (* -1 (/ (+ 64009/1728 (* 4097152081/24883200 (/ 1 (pow x 2)))) (pow x 2))) 25/3) x))>
#<alt (* -1 (/ (- (* -1 (/ (+ 4097152081/24883200 (* 262254607552729/358318080000 (/ 1 (pow x 2)))) (pow x 4))) (+ 25/3 (* 64009/1728 (/ 1 (pow x 2))))) x))>
#<alt 184009/120000>
#<alt (+ 184009/120000 (* -3/25 (pow x 2)))>
#<alt (+ 184009/120000 (* -3/25 (pow x 2)))>
#<alt (+ 184009/120000 (* -3/25 (pow x 2)))>
#<alt (* -3/25 (pow x 2))>
#<alt (* (pow x 2) (- (* 184009/120000 (/ 1 (pow x 2))) 3/25))>
#<alt (* (pow x 2) (- (* 184009/120000 (/ 1 (pow x 2))) 3/25))>
#<alt (* (pow x 2) (- (* 184009/120000 (/ 1 (pow x 2))) 3/25))>
#<alt (* -3/25 (pow x 2))>
#<alt (* (pow x 2) (- (* 184009/120000 (/ 1 (pow x 2))) 3/25))>
#<alt (* (pow x 2) (- (* 184009/120000 (/ 1 (pow x 2))) 3/25))>
#<alt (* (pow x 2) (- (* 184009/120000 (/ 1 (pow x 2))) 3/25))>
#<alt (* 9/625 (pow x 2))>
#<alt (* 9/625 (pow x 2))>
#<alt (* 9/625 (pow x 2))>
#<alt (* 9/625 (pow x 2))>
#<alt (* 9/625 (pow x 2))>
#<alt (* 9/625 (pow x 2))>
#<alt (* 9/625 (pow x 2))>
#<alt (* 9/625 (pow x 2))>
#<alt (* 9/625 (pow x 2))>
#<alt (* 9/625 (pow x 2))>
#<alt (* 9/625 (pow x 2))>
#<alt (* 9/625 (pow x 2))>
#<alt (* -253/1000 x)>
#<alt (* x (- (* -3/25 x) 253/1000))>
#<alt (* x (- (* -3/25 x) 253/1000))>
#<alt (* x (- (* -3/25 x) 253/1000))>
#<alt (* -3/25 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -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 (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* 9/625 x)>
#<alt (* 9/625 x)>
#<alt (* 9/625 x)>
#<alt (* 9/625 x)>
#<alt (* 9/625 x)>
#<alt (* 9/625 x)>
#<alt (* 9/625 x)>
#<alt (* 9/625 x)>
#<alt (* 9/625 x)>
#<alt (* 9/625 x)>
#<alt (* 9/625 x)>
#<alt (* 9/625 x)>
#<alt (* -64009/1000000 x)>
#<alt (* x (- (* 9/625 (pow x 2)) 64009/1000000))>
#<alt (* x (- (* 9/625 (pow x 2)) 64009/1000000))>
#<alt (* x (- (* 9/625 (pow x 2)) 64009/1000000))>
#<alt (* 9/625 (pow x 3))>
#<alt (* (pow x 3) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))>
#<alt (* 9/625 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625)))>
#<alt (* -1 (* (pow x 3) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625)))>
#<alt (* -1 (* (pow x 3) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625)))>
#<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 (* 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 -64009/120000>
#<alt (- (* 3/25 (pow x 2)) 64009/120000)>
#<alt (- (* 3/25 (pow x 2)) 64009/120000)>
#<alt (- (* 3/25 (pow x 2)) 64009/120000)>
#<alt (* 3/25 (pow x 2))>
#<alt (* (pow x 2) (- 3/25 (* 64009/120000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 3/25 (* 64009/120000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 3/25 (* 64009/120000 (/ 1 (pow x 2)))))>
#<alt (* 3/25 (pow x 2))>
#<alt (* (pow x 2) (- 3/25 (* 64009/120000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 3/25 (* 64009/120000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 3/25 (* 64009/120000 (/ 1 (pow x 2)))))>
#<alt -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 (* 9/625 (pow x 2))>
#<alt (* 9/625 (pow x 2))>
#<alt (* 9/625 (pow x 2))>
#<alt (* 9/625 (pow x 2))>
#<alt (* 9/625 (pow x 2))>
#<alt (* 9/625 (pow x 2))>
#<alt (* 9/625 (pow x 2))>
#<alt (* 9/625 (pow x 2))>
#<alt (* 9/625 (pow x 2))>
#<alt (* 9/625 (pow x 2))>
#<alt (* 9/625 (pow x 2))>
#<alt (* 9/625 (pow x 2))>

Calls

66 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(* x 9/625)
0.0ms	x	@	inf	(/ (* x (+ -64009/1000000 (* x (* x 9/625)))) (+ (* x -3/25) 253/1000))
0.0ms	x	@	0	(/ 25/3 x)
0.0ms	x	@	inf	(* (* x x) -9/625)
0.0ms	x	@	inf	(/ (* x 3/25) (+ -64009/1000000 (* (* x x) 9/625)))

rewrite657.0ms (5.9%)

Algorithm

1×	batch-egg-rewrite

Rules

4834×	`accelerator-lowering-fma.f32`
4834×	`accelerator-lowering-fma.f64`
4134×	`/-lowering-/.f32`
4134×	`/-lowering-/.f64`
3880×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	148
1	233	140
2	1939	140
0	10445	128

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 1495

Calls

Call 1

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

Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 x #s(literal 25/3 binary64))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 25/3 binary64) x))
(neg.f64 (/.f64 #s(literal 25/3 binary64) x))
(/.f64 #s(literal 25/3 binary64) x)
(/.f64 #s(literal 25/3 binary64) (-.f64 #s(literal 0 binary64) x))
(/.f64 #s(literal 25/3 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) x)))
(/.f64 #s(literal 25/3 binary64) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 x #s(literal 25/3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x #s(literal 25/3 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 x (.f64 x #s(literal -9/625 binary64))) (/.f64 (.f64 x (.f64 x x)) #s(literal 15625/27 binary64)))
(/.f64 (/.f64 x #s(literal 25/3 binary64)) (.f64 x (.f64 x #s(literal -9/625 binary64))))
(/.f64 (/.f64 x #s(literal 25/3 binary64)) (.f64 x (.f64 x #s(literal 9/625 binary64))))
(/.f64 #s(literal -1 binary64) (/.f64 x #s(literal 25/3 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 x #s(literal 25/3 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal -25/3 binary64) x)
(/.f64 #s(literal -25/3 binary64) (-.f64 #s(literal 0 binary64) x))
(/.f64 #s(literal -25/3 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) x)))
(/.f64 #s(literal -25/3 binary64) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x))))
(/.f64 (.f64 x (.f64 x #s(literal 9/625 binary64))) (/.f64 (.f64 x (.f64 x x)) #s(literal 15625/27 binary64)))
(/.f64 (.f64 x (.f64 x #s(literal 9/625 binary64))) (.f64 (.f64 x (*.f64 x #s(literal -9/625 binary64))) (/.f64 x #s(literal 25/3 binary64))))
(/.f64 (.f64 x (.f64 x #s(literal 9/625 binary64))) (neg.f64 (.f64 (.f64 x (*.f64 x #s(literal -9/625 binary64))) (/.f64 x #s(literal 25/3 binary64)))))
(/.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal 15625/27 binary64)) (.f64 (.f64 x (.f64 x #s(literal -9/625 binary64))) (.f64 x (*.f64 x #s(literal 9/625 binary64)))))
(/.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal 15625/27 binary64)) (neg.f64 (.f64 (.f64 x (.f64 x #s(literal -9/625 binary64))) (.f64 x (*.f64 x #s(literal 9/625 binary64))))))
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3/25 binary64))
(/.f64 (/.f64 (/.f64 x #s(literal 25/3 binary64)) #s(literal -9/625 binary64)) (*.f64 x x))
(/.f64 (/.f64 (/.f64 x #s(literal 25/3 binary64)) x) (*.f64 x #s(literal -9/625 binary64)))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3/25 binary64))
(/.f64 (/.f64 (/.f64 x #s(literal 25/3 binary64)) (*.f64 x x)) #s(literal -9/625 binary64))
(/.f64 (neg.f64 (/.f64 (/.f64 x #s(literal 25/3 binary64)) #s(literal -9/625 binary64))) (neg.f64 (*.f64 x x)))
(/.f64 (neg.f64 (/.f64 (/.f64 x #s(literal 25/3 binary64)) x)) (neg.f64 (*.f64 x #s(literal -9/625 binary64))))
(/.f64 (neg.f64 (/.f64 (/.f64 x #s(literal 25/3 binary64)) (*.f64 x x))) #s(literal 9/625 binary64))
(pow.f64 (/.f64 #s(literal 25/3 binary64) x) #s(literal 1 binary64))
(pow.f64 (/.f64 x #s(literal 25/3 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 x #s(literal 25/3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 25/3 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 25/3 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) x)))
(.f64 x (/.f64 #s(literal -3/25 binary64) (.f64 x (*.f64 x #s(literal 9/625 binary64)))))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 25/3 binary64) x))
(.f64 #s(literal 3/25 binary64) (/.f64 x (.f64 x (*.f64 x #s(literal -9/625 binary64)))))
(.f64 (/.f64 x #s(literal 25/3 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -9/625 binary64)))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 25/3 binary64) x))
(*.f64 #s(literal -25/3 binary64) (/.f64 #s(literal 1 binary64) x))
(.f64 #s(literal -25/3 binary64) (/.f64 x (.f64 x x)))
(*.f64 #s(literal -25/3 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 25/3 binary64))
(.f64 (/.f64 #s(literal 15625/27 binary64) (.f64 x (.f64 x x))) (.f64 x (*.f64 x #s(literal 9/625 binary64))))
(.f64 (/.f64 x x) (/.f64 #s(literal 3/25 binary64) (.f64 x #s(literal -9/625 binary64))))
(.f64 (/.f64 x (.f64 x x)) #s(literal -25/3 binary64))
(.f64 (/.f64 x #s(literal -9/625 binary64)) (/.f64 #s(literal 3/25 binary64) (.f64 x x)))
(.f64 (/.f64 #s(literal 3/25 binary64) (.f64 x x)) (/.f64 x #s(literal -9/625 binary64)))
(.f64 (/.f64 #s(literal 3/25 binary64) x) (/.f64 x (.f64 x #s(literal -9/625 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -9/625 binary64)))) (/.f64 x #s(literal 25/3 binary64)))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 25/3 binary64) (.f64 x x))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 x (/.f64 x #s(literal 25/3 binary64))))
(neg.f64 (*.f64 x (/.f64 x #s(literal 25/3 binary64))))
(/.f64 x (/.f64 #s(literal 25/3 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 25/3 binary64) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal 25/3 binary64) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 25/3 binary64) (*.f64 x x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x #s(literal 25/3 binary64)) (.f64 x (.f64 x (*.f64 x #s(literal -9/625 binary64))))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 25/3 binary64) (*.f64 x x)))))
(/.f64 (*.f64 x x) #s(literal 25/3 binary64))
(/.f64 (/.f64 x #s(literal 25/3 binary64)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 x #s(literal 25/3 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 25/3 binary64) (*.f64 x x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 25/3 binary64) (*.f64 x x))))
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(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 81/390625 binary64) (.f64 (.f64 x x) (.f64 x x))) #s(literal 4097152081/1000000000000 binary64))) (neg.f64 (+.f64 (.f64 x (.f64 x #s(literal 9/625 binary64))) #s(literal 64009/1000000 binary64))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 81/390625 binary64) (.f64 (.f64 x x) (.f64 x x))) #s(literal 4097152081/1000000000000 binary64))) (neg.f64 (-.f64 (.f64 x (.f64 x #s(literal 9/625 binary64))) #s(literal -64009/1000000 binary64))))
(pow.f64 (/.f64 (+.f64 #s(literal 4097152081/1000000000000 binary64) (.f64 (.f64 x (.f64 x #s(literal 9/625 binary64))) (-.f64 (.f64 x (.f64 x #s(literal 9/625 binary64))) #s(literal -64009/1000000 binary64)))) (+.f64 #s(literal -262254607552729/1000000000000000000 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))) #s(literal 729/244140625 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal -64009/1000000 binary64) (.f64 x (.f64 x #s(literal -9/625 binary64)))) (+.f64 #s(literal 4097152081/1000000000000 binary64) (.f64 #s(literal 81/390625 binary64) (.f64 (.f64 x x) (.f64 x x))))) #s(literal -1 binary64))
(.f64 (+.f64 #s(literal -262254607552729/1000000000000000000 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 729/244140625 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4097152081/1000000000000 binary64) (.f64 (.f64 x (.f64 x #s(literal 9/625 binary64))) (-.f64 (.f64 x (.f64 x #s(literal 9/625 binary64))) #s(literal -64009/1000000 binary64))))))
(.f64 (+.f64 #s(literal 4097152081/1000000000000 binary64) (.f64 #s(literal 81/390625 binary64) (.f64 (.f64 x x) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -64009/1000000 binary64) (.f64 x (*.f64 x #s(literal -9/625 binary64))))))
(+.f64 #s(literal 0 binary64) (.f64 x (.f64 x #s(literal 9/625 binary64))))
(+.f64 (.f64 x (.f64 x #s(literal 9/625 binary64))) #s(literal 0 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 x #s(literal 25/3 binary64))) #s(literal 2 binary64)))
(-.f64 #s(literal 0 binary64) (.f64 x (.f64 x #s(literal -9/625 binary64))))
(-.f64 #s(literal 0 binary64) (.f64 x (.f64 x #s(literal 9/625 binary64))))
(-.f64 (.f64 x (.f64 x #s(literal 9/625 binary64))) #s(literal 0 binary64))
(fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal 0 binary64))
(fma.f64 x (neg.f64 (*.f64 x #s(literal -9/625 binary64))) #s(literal 0 binary64))
(fma.f64 x (*.f64 #s(literal -3/25 binary64) (/.f64 x #s(literal 25/3 binary64))) #s(literal 0 binary64))
(fma.f64 x (*.f64 #s(literal 3/25 binary64) (/.f64 x #s(literal 25/3 binary64))) #s(literal 0 binary64))
(fma.f64 (*.f64 x (/.f64 x #s(literal 25/3 binary64))) #s(literal -3/25 binary64) #s(literal 0 binary64))
(fma.f64 (*.f64 x (/.f64 x #s(literal 25/3 binary64))) #s(literal 3/25 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 9/625 binary64))) #s(literal 0 binary64))
(fma.f64 #s(literal -3/25 binary64) (*.f64 x (/.f64 x #s(literal 25/3 binary64))) #s(literal 0 binary64))
(fma.f64 (*.f64 x x) #s(literal 9/625 binary64) #s(literal 0 binary64))
(fma.f64 (.f64 x x) (pow.f64 (.f64 x (/.f64 #s(literal -3/25 binary64) x)) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 (.f64 x x) (pow.f64 (.f64 (*.f64 x #s(literal -9/625 binary64)) (/.f64 #s(literal 25/3 binary64) x)) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 (.f64 x x) (pow.f64 (/.f64 (.f64 x #s(literal -9/625 binary64)) (/.f64 x #s(literal 25/3 binary64))) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal -9/625 binary64) (neg.f64 (*.f64 x x)) #s(literal 0 binary64))
(fma.f64 #s(literal 3/25 binary64) (*.f64 x (/.f64 x #s(literal 25/3 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 x #s(literal 25/3 binary64)) (/.f64 x #s(literal 25/3 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal 0 binary64))
(fma.f64 #s(literal 9/625 binary64) (pow.f64 (/.f64 (*.f64 x x) x) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 x #s(literal 9/625 binary64)) x #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal -9/625 binary64))) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 x #s(literal -9/625 binary64)) #s(literal 0 binary64))
(fma.f64 (.f64 #s(literal 81/390625 binary64) (.f64 (.f64 x x) (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -9/625 binary64)))) #s(literal 0 binary64))
(fma.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 729/244140625 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -9/625 binary64)))) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -9/625 binary64)))) (.f64 #s(literal 81/390625 binary64) (.f64 (.f64 x x) (.f64 x x))) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -9/625 binary64)))) (pow.f64 (.f64 x (.f64 x #s(literal -9/625 binary64))) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal 81/390625 binary64) (pow.f64 (.f64 (.f64 x x) (/.f64 #s(literal 25/3 binary64) x)) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal 81/390625 binary64) (pow.f64 (/.f64 (*.f64 x x) (/.f64 x #s(literal 25/3 binary64))) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 (neg.f64 (*.f64 x x)) #s(literal -9/625 binary64) #s(literal 0 binary64))
(fma.f64 (*.f64 (/.f64 x #s(literal 25/3 binary64)) #s(literal -3/25 binary64)) x #s(literal 0 binary64))
(fma.f64 (*.f64 (/.f64 x #s(literal 25/3 binary64)) #s(literal 3/25 binary64)) x #s(literal 0 binary64))
(fma.f64 (pow.f64 (.f64 x (.f64 x #s(literal -9/625 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -9/625 binary64)))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (/.f64 (*.f64 x x) x) #s(literal 2 binary64)) #s(literal 9/625 binary64) #s(literal 0 binary64))
(fma.f64 (.f64 (.f64 x x) (*.f64 x x)) (pow.f64 (/.f64 #s(literal -3/25 binary64) x) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (/.f64 #s(literal -3/25 binary64) x) #s(literal 2 binary64)) (.f64 (.f64 x x) (*.f64 x x)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (/.f64 x x) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 x #s(literal -9/625 binary64)) #s(literal 3/25 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (/.f64 x #s(literal 3/25 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 x #s(literal -9/625 binary64)) x) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (/.f64 (*.f64 x x) #s(literal 3/25 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal -9/625 binary64) x) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (/.f64 #s(literal -9/625 binary64) x) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 x x) #s(literal 3/25 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (/.f64 (.f64 x (.f64 x #s(literal -9/625 binary64))) (.f64 x (.f64 x #s(literal 9/625 binary64)))) #s(literal 2 binary64)) (.f64 x (.f64 x #s(literal 9/625 binary64))) #s(literal 0 binary64))
(neg.f64 (.f64 x (.f64 x #s(literal -9/625 binary64))))
(neg.f64 (.f64 x (.f64 x #s(literal 9/625 binary64))))
(/.f64 (.f64 #s(literal 81/390625 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 x (.f64 x #s(literal 9/625 binary64))))
(/.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal 15625/27 binary64)) (/.f64 x #s(literal 25/3 binary64)))
(/.f64 (.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal 15625/27 binary64)) (.f64 x (.f64 x #s(literal 9/625 binary64)))) (/.f64 (.f64 x (*.f64 x x)) #s(literal 15625/27 binary64)))
(/.f64 (.f64 (.f64 x (.f64 x #s(literal 9/625 binary64))) (/.f64 (.f64 x (.f64 x x)) #s(literal 15625/27 binary64))) (/.f64 (.f64 x (*.f64 x x)) #s(literal 15625/27 binary64)))
(/.f64 (+.f64 #s(literal 0 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 729/244140625 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 #s(literal 81/390625 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 #s(literal 0 binary64) (.f64 x (*.f64 x #s(literal 9/625 binary64)))))))
(/.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 729/244140625 binary64)) (.f64 #s(literal 81/390625 binary64) (.f64 (.f64 x x) (.f64 x x))))
(/.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 729/244140625 binary64)) (neg.f64 (.f64 #s(literal 81/390625 binary64) (.f64 (.f64 x x) (.f64 x x)))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 729/244140625 binary64)) #s(literal 0 binary64)) (+.f64 (.f64 #s(literal 81/390625 binary64) (.f64 (.f64 x x) (.f64 x x))) (+.f64 #s(literal 0 binary64) (.f64 (.f64 x (*.f64 x #s(literal 9/625 binary64))) #s(literal 0 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 729/244140625 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (.f64 #s(literal 81/390625 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 #s(literal 0 binary64) (.f64 x (*.f64 x #s(literal 9/625 binary64)))))))
(/.f64 (neg.f64 (.f64 #s(literal 81/390625 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 x (.f64 x #s(literal 9/625 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 81/390625 binary64) (.f64 (.f64 x x) (.f64 x x))) #s(literal 0 binary64)) (.f64 x (.f64 x #s(literal 9/625 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 #s(literal 81/390625 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 x (.f64 x #s(literal 9/625 binary64))))
(/.f64 (.f64 (/.f64 x #s(literal 25/3 binary64)) (/.f64 (.f64 x (.f64 x x)) #s(literal 15625/27 binary64))) (.f64 x (*.f64 x #s(literal 9/625 binary64))))
(/.f64 (neg.f64 (.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal 15625/27 binary64)) (.f64 x (.f64 x #s(literal 9/625 binary64))))) (/.f64 (.f64 x (*.f64 x x)) #s(literal 15625/27 binary64)))
(/.f64 (neg.f64 (.f64 (.f64 x (.f64 x #s(literal 9/625 binary64))) (/.f64 (.f64 x (.f64 x x)) #s(literal 15625/27 binary64)))) (/.f64 (.f64 x (*.f64 x x)) #s(literal 15625/27 binary64)))
(/.f64 (neg.f64 (+.f64 #s(literal 0 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 729/244140625 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (-.f64 (.f64 #s(literal 81/390625 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 #s(literal 0 binary64) (.f64 x (*.f64 x #s(literal 9/625 binary64))))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 729/244140625 binary64)) #s(literal 0 binary64))) (neg.f64 (+.f64 (.f64 #s(literal 81/390625 binary64) (.f64 (.f64 x x) (.f64 x x))) (+.f64 #s(literal 0 binary64) (.f64 (.f64 x (*.f64 x #s(literal 9/625 binary64))) #s(literal 0 binary64))))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 81/390625 binary64) (.f64 (.f64 x x) (.f64 x x))) #s(literal 0 binary64))) (.f64 x (.f64 x #s(literal 9/625 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 #s(literal 81/390625 binary64) (.f64 (.f64 x x) (.f64 x x))))) (.f64 x (.f64 x #s(literal 9/625 binary64))))
(/.f64 (neg.f64 (.f64 (/.f64 x #s(literal 25/3 binary64)) (/.f64 (.f64 x (.f64 x x)) #s(literal 15625/27 binary64)))) (.f64 x (*.f64 x #s(literal 9/625 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 729/244140625 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (+.f64 (.f64 #s(literal 81/390625 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 #s(literal 0 binary64) (.f64 x (*.f64 x #s(literal 9/625 binary64))))))))
(pow.f64 (/.f64 #s(literal 25/3 binary64) x) #s(literal -2 binary64))
(pow.f64 (/.f64 x #s(literal 25/3 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -9/625 binary64)))) #s(literal -1 binary64))
(.f64 x (.f64 x #s(literal 9/625 binary64)))
(.f64 x (neg.f64 (.f64 x #s(literal -9/625 binary64))))
(.f64 x (.f64 #s(literal -3/25 binary64) (/.f64 x #s(literal 25/3 binary64))))
(.f64 x (.f64 #s(literal 3/25 binary64) (/.f64 x #s(literal 25/3 binary64))))
(.f64 (.f64 x (/.f64 x #s(literal 25/3 binary64))) #s(literal -3/25 binary64))
(.f64 (.f64 x (/.f64 x #s(literal 25/3 binary64))) #s(literal 3/25 binary64))
(.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal 9/625 binary64))))
(.f64 #s(literal -3/25 binary64) (.f64 x (/.f64 x #s(literal 25/3 binary64))))
(.f64 (.f64 x x) #s(literal 9/625 binary64))
(.f64 (.f64 x x) (pow.f64 (*.f64 x (/.f64 #s(literal -3/25 binary64) x)) #s(literal 2 binary64)))
(.f64 (.f64 x x) (pow.f64 (.f64 (.f64 x #s(literal -9/625 binary64)) (/.f64 #s(literal 25/3 binary64) x)) #s(literal 2 binary64)))
(.f64 (.f64 x x) (pow.f64 (/.f64 (*.f64 x #s(literal -9/625 binary64)) (/.f64 x #s(literal 25/3 binary64))) #s(literal 2 binary64)))
(.f64 #s(literal -9/625 binary64) (neg.f64 (.f64 x x)))
(.f64 #s(literal 3/25 binary64) (.f64 x (/.f64 x #s(literal 25/3 binary64))))
(*.f64 (/.f64 x #s(literal 25/3 binary64)) (/.f64 x #s(literal 25/3 binary64)))
(.f64 #s(literal 9/625 binary64) (.f64 x x))
(.f64 #s(literal 9/625 binary64) (pow.f64 (/.f64 (.f64 x x) x) #s(literal 2 binary64)))
(.f64 (.f64 x #s(literal 9/625 binary64)) x)
(.f64 #s(literal -1 binary64) (.f64 x (*.f64 x #s(literal -9/625 binary64))))
(.f64 (-.f64 #s(literal 0 binary64) x) (.f64 x #s(literal -9/625 binary64)))
(.f64 (.f64 #s(literal 81/390625 binary64) (.f64 (.f64 x x) (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -9/625 binary64)))))
(.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 729/244140625 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -9/625 binary64)))) #s(literal 2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -9/625 binary64)))) (.f64 #s(literal 81/390625 binary64) (.f64 (.f64 x x) (*.f64 x x))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -9/625 binary64)))) (pow.f64 (.f64 x (*.f64 x #s(literal -9/625 binary64))) #s(literal 2 binary64)))
(.f64 #s(literal 81/390625 binary64) (pow.f64 (.f64 (*.f64 x x) (/.f64 #s(literal 25/3 binary64) x)) #s(literal 2 binary64)))
(.f64 #s(literal 81/390625 binary64) (pow.f64 (/.f64 (.f64 x x) (/.f64 x #s(literal 25/3 binary64))) #s(literal 2 binary64)))
(.f64 (neg.f64 (.f64 x x)) #s(literal -9/625 binary64))
(.f64 (.f64 (/.f64 x #s(literal 25/3 binary64)) #s(literal -3/25 binary64)) x)
(.f64 (.f64 (/.f64 x #s(literal 25/3 binary64)) #s(literal 3/25 binary64)) x)
(.f64 (pow.f64 (.f64 x (.f64 x #s(literal -9/625 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -9/625 binary64)))))
(.f64 (pow.f64 (/.f64 (.f64 x x) x) #s(literal 2 binary64)) #s(literal 9/625 binary64))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (pow.f64 (/.f64 #s(literal -3/25 binary64) x) #s(literal 2 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal -3/25 binary64) x) #s(literal 2 binary64)) (.f64 (.f64 x x) (.f64 x x)))
(.f64 (pow.f64 (/.f64 x x) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 x #s(literal -9/625 binary64)) #s(literal 3/25 binary64)) #s(literal 2 binary64)))
(.f64 (pow.f64 (/.f64 x #s(literal 3/25 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 x #s(literal -9/625 binary64)) x) #s(literal 2 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 x x) #s(literal 3/25 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal -9/625 binary64) x) #s(literal 2 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal -9/625 binary64) x) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 x x) #s(literal 3/25 binary64)) #s(literal 2 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 x (.f64 x #s(literal -9/625 binary64))) (.f64 x (.f64 x #s(literal 9/625 binary64)))) #s(literal 2 binary64)) (.f64 x (*.f64 x #s(literal 9/625 binary64))))

simplify567.0ms (5.1%)

Algorithm

1×	egg-herbie

Rules

8384×	`accelerator-lowering-fma.f32`
8384×	`accelerator-lowering-fma.f64`
3904×	`-lowering-.f32`
3904×	`-lowering-.f64`
1666×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	190	1506
1	489	1490
2	1205	1485
3	2796	1472
4	6504	1472
0	8059	1385

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 264

Calls

Call 1

Inputs
(/ 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)
(* 3/25 (pow x 2))
(* 3/25 (pow x 2))
(* 3/25 (pow x 2))
(* 3/25 (pow x 2))
(* 3/25 (pow x 2))
(* 3/25 (pow x 2))
(* 3/25 (pow x 2))
(* 3/25 (pow x 2))
(* 3/25 (pow x 2))
(* 3/25 (pow x 2))
(* 3/25 (pow x 2))
(* 3/25 (pow x 2))
1
(+ 1 (* -3/25 (pow x 2)))
(+ 1 (* -3/25 (pow x 2)))
(+ 1 (* -3/25 (pow x 2)))
(* -3/25 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 3/25))
(* (pow x 2) (- (/ 1 (pow x 2)) 3/25))
(* (pow x 2) (- (/ 1 (pow x 2)) 3/25))
(* -3/25 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 3/25))
(* (pow x 2) (- (/ 1 (pow x 2)) 3/25))
(* (pow x 2) (- (/ 1 (pow x 2)) 3/25))
(* -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)
(/ -1000/253 x)
(/ (- (* 120000/64009 x) 1000/253) x)
(/ (- (* x (+ 120000/64009 (* -14400000/16194277 x))) 1000/253) x)
(/ (- (* x (+ 120000/64009 (* x (- (* 1728000000/4097152081 x) 14400000/16194277)))) 1000/253) x)
(/ -25/3 (pow x 2))
(/ (- (* 1265/72 (/ 1 x)) 25/3) (pow x 2))
(/ (- (* 1265/72 (/ 1 x)) (+ 25/3 (/ 64009/1728 (pow x 2)))) (pow x 2))
(/ (- (+ (* 1265/72 (/ 1 x)) (* 16194277/207360 (/ 1 (pow x 3)))) (+ 25/3 (/ 64009/1728 (pow x 2)))) (pow x 2))
(/ -25/3 (pow x 2))
(/ (- (* 1265/72 (/ 1 x)) 25/3) (pow x 2))
(/ (- (* -1 (/ (- (* 64009/1728 (/ 1 x)) 1265/72) x)) 25/3) (pow x 2))
(/ (- (* -1 (/ (- (* -1 (/ (- (* 16194277/207360 (/ 1 x)) 64009/1728) x)) 1265/72) x)) 25/3) (pow x 2))
(* -253/1000 x)
(* x (- (* -3/25 x) 253/1000))
(* x (- (* -3/25 x) 253/1000))
(* x (- (* -3/25 x) 253/1000))
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -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)))))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
-1000/253
(- (* 120000/64009 x) 1000/253)
(- (* x (+ 120000/64009 (* -14400000/16194277 x))) 1000/253)
(- (* x (+ 120000/64009 (* x (- (* 1728000000/4097152081 x) 14400000/16194277)))) 1000/253)
(/ -25/3 x)
(/ (- (* 1265/72 (/ 1 x)) 25/3) x)
(/ (- (* 1265/72 (/ 1 x)) (+ 25/3 (/ 64009/1728 (pow x 2)))) x)
(/ (- (+ (* 1265/72 (/ 1 x)) (* 16194277/207360 (/ 1 (pow x 3)))) (+ 25/3 (/ 64009/1728 (pow x 2)))) x)
(/ -25/3 x)
(* -1 (/ (- 25/3 (* 1265/72 (/ 1 x))) x))
(* -1 (/ (+ 25/3 (* -1 (/ (- 1265/72 (* 64009/1728 (/ 1 x))) x))) x))
(* -1 (/ (+ 25/3 (* -1 (/ (+ 1265/72 (* -1 (/ (- 64009/1728 (* 16194277/207360 (/ 1 x))) x))) x))) 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)
(* -9/625 (pow x 2))
(* -9/625 (pow x 2))
(* -9/625 (pow x 2))
(* -9/625 (pow x 2))
(* -9/625 (pow x 2))
(* -9/625 (pow x 2))
(* -9/625 (pow x 2))
(* -9/625 (pow x 2))
(* -9/625 (pow x 2))
(* -9/625 (pow x 2))
(* -9/625 (pow x 2))
(* -9/625 (pow x 2))
(* 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))
(* -120000/64009 x)
(* x (- (* -1728000000/4097152081 (pow x 2)) 120000/64009))
(* x (- (* (pow x 2) (- (* -24883200000000/262254607552729 (pow x 2)) 1728000000/4097152081)) 120000/64009))
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -358318080000000000/16786655174842630561 (pow x 2)) 24883200000000/262254607552729)) 1728000000/4097152081)) 120000/64009))
(/ 25/3 x)
(/ (+ 25/3 (* 64009/1728 (/ 1 (pow x 2)))) x)
(/ (+ 25/3 (+ (* 64009/1728 (/ 1 (pow x 2))) (/ 4097152081/24883200 (pow x 4)))) x)
(/ (+ 25/3 (+ (* 64009/1728 (/ 1 (pow x 2))) (+ (* 262254607552729/358318080000 (/ 1 (pow x 6))) (/ 4097152081/24883200 (pow x 4))))) x)
(/ 25/3 x)
(/ (+ 25/3 (* 64009/1728 (/ 1 (pow x 2)))) x)
(* -1 (/ (- (* -1 (/ (+ 64009/1728 (* 4097152081/24883200 (/ 1 (pow x 2)))) (pow x 2))) 25/3) x))
(* -1 (/ (- (* -1 (/ (+ 4097152081/24883200 (* 262254607552729/358318080000 (/ 1 (pow x 2)))) (pow x 4))) (+ 25/3 (* 64009/1728 (/ 1 (pow x 2))))) x))
184009/120000
(+ 184009/120000 (* -3/25 (pow x 2)))
(+ 184009/120000 (* -3/25 (pow x 2)))
(+ 184009/120000 (* -3/25 (pow x 2)))
(* -3/25 (pow x 2))
(* (pow x 2) (- (* 184009/120000 (/ 1 (pow x 2))) 3/25))
(* (pow x 2) (- (* 184009/120000 (/ 1 (pow x 2))) 3/25))
(* (pow x 2) (- (* 184009/120000 (/ 1 (pow x 2))) 3/25))
(* -3/25 (pow x 2))
(* (pow x 2) (- (* 184009/120000 (/ 1 (pow x 2))) 3/25))
(* (pow x 2) (- (* 184009/120000 (/ 1 (pow x 2))) 3/25))
(* (pow x 2) (- (* 184009/120000 (/ 1 (pow x 2))) 3/25))
(* 9/625 (pow x 2))
(* 9/625 (pow x 2))
(* 9/625 (pow x 2))
(* 9/625 (pow x 2))
(* 9/625 (pow x 2))
(* 9/625 (pow x 2))
(* 9/625 (pow x 2))
(* 9/625 (pow x 2))
(* 9/625 (pow x 2))
(* 9/625 (pow x 2))
(* 9/625 (pow x 2))
(* 9/625 (pow x 2))
(* -253/1000 x)
(* x (- (* -3/25 x) 253/1000))
(* x (- (* -3/25 x) 253/1000))
(* x (- (* -3/25 x) 253/1000))
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -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)))))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* 9/625 x)
(* 9/625 x)
(* 9/625 x)
(* 9/625 x)
(* 9/625 x)
(* 9/625 x)
(* 9/625 x)
(* 9/625 x)
(* 9/625 x)
(* 9/625 x)
(* 9/625 x)
(* 9/625 x)
(* -64009/1000000 x)
(* x (- (* 9/625 (pow x 2)) 64009/1000000))
(* x (- (* 9/625 (pow x 2)) 64009/1000000))
(* x (- (* 9/625 (pow x 2)) 64009/1000000))
(* 9/625 (pow x 3))
(* (pow x 3) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))
(* (pow x 3) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))
(* (pow x 3) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))
(* 9/625 (pow x 3))
(* -1 (* (pow x 3) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625)))
(* -1 (* (pow x 3) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625)))
(* -1 (* (pow x 3) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625)))
-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)))))
(* 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)
-64009/120000
(- (* 3/25 (pow x 2)) 64009/120000)
(- (* 3/25 (pow x 2)) 64009/120000)
(- (* 3/25 (pow x 2)) 64009/120000)
(* 3/25 (pow x 2))
(* (pow x 2) (- 3/25 (* 64009/120000 (/ 1 (pow x 2)))))
(* (pow x 2) (- 3/25 (* 64009/120000 (/ 1 (pow x 2)))))
(* (pow x 2) (- 3/25 (* 64009/120000 (/ 1 (pow x 2)))))
(* 3/25 (pow x 2))
(* (pow x 2) (- 3/25 (* 64009/120000 (/ 1 (pow x 2)))))
(* (pow x 2) (- 3/25 (* 64009/120000 (/ 1 (pow x 2)))))
(* (pow x 2) (- 3/25 (* 64009/120000 (/ 1 (pow x 2)))))
-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)))))
(* 9/625 (pow x 2))
(* 9/625 (pow x 2))
(* 9/625 (pow x 2))
(* 9/625 (pow x 2))
(* 9/625 (pow x 2))
(* 9/625 (pow x 2))
(* 9/625 (pow x 2))
(* 9/625 (pow x 2))
(* 9/625 (pow x 2))
(* 9/625 (pow x 2))
(* 9/625 (pow x 2))
(* 9/625 (pow x 2))

Outputs
(/ 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)
(* 3/25 (pow x 2))
(.f64 x (.f64 x #s(literal 3/25 binary64)))
(* 3/25 (pow x 2))
(.f64 x (.f64 x #s(literal 3/25 binary64)))
(* 3/25 (pow x 2))
(.f64 x (.f64 x #s(literal 3/25 binary64)))
(* 3/25 (pow x 2))
(.f64 x (.f64 x #s(literal 3/25 binary64)))
(* 3/25 (pow x 2))
(.f64 x (.f64 x #s(literal 3/25 binary64)))
(* 3/25 (pow x 2))
(.f64 x (.f64 x #s(literal 3/25 binary64)))
(* 3/25 (pow x 2))
(.f64 x (.f64 x #s(literal 3/25 binary64)))
(* 3/25 (pow x 2))
(.f64 x (.f64 x #s(literal 3/25 binary64)))
(* 3/25 (pow x 2))
(.f64 x (.f64 x #s(literal 3/25 binary64)))
(* 3/25 (pow x 2))
(.f64 x (.f64 x #s(literal 3/25 binary64)))
(* 3/25 (pow x 2))
(.f64 x (.f64 x #s(literal 3/25 binary64)))
(* 3/25 (pow x 2))
(.f64 x (.f64 x #s(literal 3/25 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* -3/25 (pow x 2)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -3/25 binary64)))
(+ 1 (* -3/25 (pow x 2)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -3/25 binary64)))
(+ 1 (* -3/25 (pow x 2)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -3/25 binary64)))
(* -3/25 (pow x 2))
(.f64 (.f64 x x) #s(literal -3/25 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) 3/25))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -3/25 binary64)))
(* (pow x 2) (- (/ 1 (pow x 2)) 3/25))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -3/25 binary64)))
(* (pow x 2) (- (/ 1 (pow x 2)) 3/25))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -3/25 binary64)))
(* -3/25 (pow x 2))
(.f64 (.f64 x x) #s(literal -3/25 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) 3/25))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -3/25 binary64)))
(* (pow x 2) (- (/ 1 (pow x 2)) 3/25))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -3/25 binary64)))
(* (pow x 2) (- (/ 1 (pow x 2)) 3/25))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -3/25 binary64)))
(* -3/25 x)
(*.f64 x #s(literal -3/25 binary64))
(* -3/25 x)
(*.f64 x #s(literal -3/25 binary64))
(* -3/25 x)
(*.f64 x #s(literal -3/25 binary64))
(* -3/25 x)
(*.f64 x #s(literal -3/25 binary64))
(* -3/25 x)
(*.f64 x #s(literal -3/25 binary64))
(* -3/25 x)
(*.f64 x #s(literal -3/25 binary64))
(* -3/25 x)
(*.f64 x #s(literal -3/25 binary64))
(* -3/25 x)
(*.f64 x #s(literal -3/25 binary64))
(* -3/25 x)
(*.f64 x #s(literal -3/25 binary64))
(* -3/25 x)
(*.f64 x #s(literal -3/25 binary64))
(* -3/25 x)
(*.f64 x #s(literal -3/25 binary64))
(* -3/25 x)
(*.f64 x #s(literal -3/25 binary64))
(/ -1000/253 x)
(/.f64 #s(literal -1000/253 binary64) x)
(/ (- (* 120000/64009 x) 1000/253) x)
(+.f64 #s(literal 120000/64009 binary64) (/.f64 #s(literal -1000/253 binary64) x))
(/ (- (* x (+ 120000/64009 (* -14400000/16194277 x))) 1000/253) x)
(+.f64 (+.f64 #s(literal 120000/64009 binary64) (*.f64 x #s(literal -14400000/16194277 binary64))) (/.f64 #s(literal -1000/253 binary64) x))
(/ (- (* x (+ 120000/64009 (* x (- (* 1728000000/4097152081 x) 14400000/16194277)))) 1000/253) x)
(+.f64 (+.f64 #s(literal 120000/64009 binary64) (.f64 x (+.f64 #s(literal -14400000/16194277 binary64) (.f64 x #s(literal 1728000000/4097152081 binary64))))) (/.f64 #s(literal -1000/253 binary64) 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 #s(literal -25/3 binary64) (/.f64 #s(literal 1265/72 binary64) x)) (*.f64 x x))
(/ (- (* 1265/72 (/ 1 x)) (+ 25/3 (/ 64009/1728 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal -25/3 binary64) (/.f64 (-.f64 #s(literal 1265/72 binary64) (/.f64 #s(literal 64009/1728 binary64) x)) x)) (*.f64 x x))
(/ (- (+ (* 1265/72 (/ 1 x)) (* 16194277/207360 (/ 1 (pow x 3)))) (+ 25/3 (/ 64009/1728 (pow x 2)))) (pow x 2))
(/.f64 (/.f64 (+.f64 #s(literal -25/3 binary64) (/.f64 (+.f64 #s(literal 1265/72 binary64) (/.f64 (+.f64 (/.f64 #s(literal 16194277/207360 binary64) x) #s(literal -64009/1728 binary64)) x)) x)) 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 #s(literal -25/3 binary64) (/.f64 #s(literal 1265/72 binary64) x)) (*.f64 x x))
(/ (- (* -1 (/ (- (* 64009/1728 (/ 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 64009/1728 binary64) x)) x)) (*.f64 x x))
(/ (- (* -1 (/ (- (* -1 (/ (- (* 16194277/207360 (/ 1 x)) 64009/1728) x)) 1265/72) x)) 25/3) (pow x 2))
(/.f64 (/.f64 (+.f64 #s(literal -25/3 binary64) (/.f64 (+.f64 #s(literal 1265/72 binary64) (/.f64 (+.f64 (/.f64 #s(literal 16194277/207360 binary64) x) #s(literal -64009/1728 binary64)) x)) x)) x) x)
(* -253/1000 x)
(*.f64 x #s(literal -253/1000 binary64))
(* x (- (* -3/25 x) 253/1000))
(.f64 x (-.f64 #s(literal -253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))
(* x (- (* -3/25 x) 253/1000))
(.f64 x (-.f64 #s(literal -253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))
(* x (- (* -3/25 x) 253/1000))
(.f64 x (-.f64 #s(literal -253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))
(* -3/25 (pow x 2))
(.f64 (.f64 x x) #s(literal -3/25 binary64))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(.f64 x (-.f64 #s(literal -253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(.f64 x (-.f64 #s(literal -253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(.f64 x (-.f64 #s(literal -253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))
(* -3/25 (pow x 2))
(.f64 (.f64 x x) #s(literal -3/25 binary64))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(.f64 x (-.f64 #s(literal -253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(.f64 x (-.f64 #s(literal -253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(.f64 x (-.f64 #s(literal -253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))
-1000/253
#s(literal -1000/253 binary64)
(- (* 120000/64009 x) 1000/253)
(+.f64 #s(literal -1000/253 binary64) (*.f64 x #s(literal 120000/64009 binary64)))
(- (* x (+ 120000/64009 (* -14400000/16194277 x))) 1000/253)
(+.f64 #s(literal -1000/253 binary64) (.f64 x (+.f64 #s(literal 120000/64009 binary64) (.f64 x #s(literal -14400000/16194277 binary64)))))
(- (* x (+ 120000/64009 (* x (- (* 1728000000/4097152081 x) 14400000/16194277)))) 1000/253)
(+.f64 #s(literal -1000/253 binary64) (.f64 x (+.f64 #s(literal 120000/64009 binary64) (.f64 x (+.f64 #s(literal -14400000/16194277 binary64) (*.f64 x #s(literal 1728000000/4097152081 binary64)))))))
(/ -25/3 x)
(/.f64 #s(literal -25/3 binary64) x)
(/ (- (* 1265/72 (/ 1 x)) 25/3) x)
(/.f64 (+.f64 #s(literal -25/3 binary64) (/.f64 #s(literal 1265/72 binary64) x)) x)
(/ (- (* 1265/72 (/ 1 x)) (+ 25/3 (/ 64009/1728 (pow x 2)))) x)
(/.f64 (+.f64 #s(literal -25/3 binary64) (/.f64 (-.f64 #s(literal 1265/72 binary64) (/.f64 #s(literal 64009/1728 binary64) x)) x)) x)
(/ (- (+ (* 1265/72 (/ 1 x)) (* 16194277/207360 (/ 1 (pow x 3)))) (+ 25/3 (/ 64009/1728 (pow x 2)))) x)
(/.f64 (+.f64 #s(literal -25/3 binary64) (/.f64 (+.f64 #s(literal 1265/72 binary64) (/.f64 (+.f64 (/.f64 #s(literal 16194277/207360 binary64) x) #s(literal -64009/1728 binary64)) x)) x)) x)
(/ -25/3 x)
(/.f64 #s(literal -25/3 binary64) x)
(* -1 (/ (- 25/3 (* 1265/72 (/ 1 x))) x))
(/.f64 (+.f64 #s(literal -25/3 binary64) (/.f64 #s(literal 1265/72 binary64) x)) x)
(* -1 (/ (+ 25/3 (* -1 (/ (- 1265/72 (* 64009/1728 (/ 1 x))) x))) x))
(/.f64 (+.f64 #s(literal -25/3 binary64) (/.f64 (-.f64 #s(literal 1265/72 binary64) (/.f64 #s(literal 64009/1728 binary64) x)) x)) x)
(* -1 (/ (+ 25/3 (* -1 (/ (+ 1265/72 (* -1 (/ (- 64009/1728 (* 16194277/207360 (/ 1 x))) x))) x))) x))
(/.f64 (+.f64 #s(literal -25/3 binary64) (/.f64 (+.f64 #s(literal 1265/72 binary64) (/.f64 (+.f64 (/.f64 #s(literal 16194277/207360 binary64) x) #s(literal -64009/1728 binary64)) x)) x)) x)
(* -3/25 x)
(*.f64 x #s(literal -3/25 binary64))
(* -3/25 x)
(*.f64 x #s(literal -3/25 binary64))
(* -3/25 x)
(*.f64 x #s(literal -3/25 binary64))
(* -3/25 x)
(*.f64 x #s(literal -3/25 binary64))
(* -3/25 x)
(*.f64 x #s(literal -3/25 binary64))
(* -3/25 x)
(*.f64 x #s(literal -3/25 binary64))
(* -3/25 x)
(*.f64 x #s(literal -3/25 binary64))
(* -3/25 x)
(*.f64 x #s(literal -3/25 binary64))
(* -3/25 x)
(*.f64 x #s(literal -3/25 binary64))
(* -3/25 x)
(*.f64 x #s(literal -3/25 binary64))
(* -3/25 x)
(*.f64 x #s(literal -3/25 binary64))
(* -3/25 x)
(*.f64 x #s(literal -3/25 binary64))
(* -9/625 (pow x 2))
(.f64 x (.f64 x #s(literal -9/625 binary64)))
(* -9/625 (pow x 2))
(.f64 x (.f64 x #s(literal -9/625 binary64)))
(* -9/625 (pow x 2))
(.f64 x (.f64 x #s(literal -9/625 binary64)))
(* -9/625 (pow x 2))
(.f64 x (.f64 x #s(literal -9/625 binary64)))
(* -9/625 (pow x 2))
(.f64 x (.f64 x #s(literal -9/625 binary64)))
(* -9/625 (pow x 2))
(.f64 x (.f64 x #s(literal -9/625 binary64)))
(* -9/625 (pow x 2))
(.f64 x (.f64 x #s(literal -9/625 binary64)))
(* -9/625 (pow x 2))
(.f64 x (.f64 x #s(literal -9/625 binary64)))
(* -9/625 (pow x 2))
(.f64 x (.f64 x #s(literal -9/625 binary64)))
(* -9/625 (pow x 2))
(.f64 x (.f64 x #s(literal -9/625 binary64)))
(* -9/625 (pow x 2))
(.f64 x (.f64 x #s(literal -9/625 binary64)))
(* -9/625 (pow x 2))
(.f64 x (.f64 x #s(literal -9/625 binary64)))
(* 3/25 x)
(*.f64 x #s(literal 3/25 binary64))
(* 3/25 x)
(*.f64 x #s(literal 3/25 binary64))
(* 3/25 x)
(*.f64 x #s(literal 3/25 binary64))
(* 3/25 x)
(*.f64 x #s(literal 3/25 binary64))
(* 3/25 x)
(*.f64 x #s(literal 3/25 binary64))
(* 3/25 x)
(*.f64 x #s(literal 3/25 binary64))
(* 3/25 x)
(*.f64 x #s(literal 3/25 binary64))
(* 3/25 x)
(*.f64 x #s(literal 3/25 binary64))
(* 3/25 x)
(*.f64 x #s(literal 3/25 binary64))
(* 3/25 x)
(*.f64 x #s(literal 3/25 binary64))
(* 3/25 x)
(*.f64 x #s(literal 3/25 binary64))
(* 3/25 x)
(*.f64 x #s(literal 3/25 binary64))
(* -3/25 (pow x 2))
(.f64 (.f64 x x) #s(literal -3/25 binary64))
(* -3/25 (pow x 2))
(.f64 (.f64 x x) #s(literal -3/25 binary64))
(* -3/25 (pow x 2))
(.f64 (.f64 x x) #s(literal -3/25 binary64))
(* -3/25 (pow x 2))
(.f64 (.f64 x x) #s(literal -3/25 binary64))
(* -3/25 (pow x 2))
(.f64 (.f64 x x) #s(literal -3/25 binary64))
(* -3/25 (pow x 2))
(.f64 (.f64 x x) #s(literal -3/25 binary64))
(* -3/25 (pow x 2))
(.f64 (.f64 x x) #s(literal -3/25 binary64))
(* -3/25 (pow x 2))
(.f64 (.f64 x x) #s(literal -3/25 binary64))
(* -3/25 (pow x 2))
(.f64 (.f64 x x) #s(literal -3/25 binary64))
(* -3/25 (pow x 2))
(.f64 (.f64 x x) #s(literal -3/25 binary64))
(* -3/25 (pow x 2))
(.f64 (.f64 x x) #s(literal -3/25 binary64))
(* -3/25 (pow x 2))
(.f64 (.f64 x x) #s(literal -3/25 binary64))
(* -120000/64009 x)
(*.f64 x #s(literal -120000/64009 binary64))
(* x (- (* -1728000000/4097152081 (pow x 2)) 120000/64009))
(.f64 x (+.f64 #s(literal -120000/64009 binary64) (.f64 (*.f64 x x) #s(literal -1728000000/4097152081 binary64))))
(* x (- (* (pow x 2) (- (* -24883200000000/262254607552729 (pow x 2)) 1728000000/4097152081)) 120000/64009))
(.f64 x (+.f64 #s(literal -120000/64009 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1728000000/4097152081 binary64) (.f64 (*.f64 x x) #s(literal -24883200000000/262254607552729 binary64)))))))
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -358318080000000000/16786655174842630561 (pow x 2)) 24883200000000/262254607552729)) 1728000000/4097152081)) 120000/64009))
(.f64 x (+.f64 #s(literal -120000/64009 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1728000000/4097152081 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -24883200000000/262254607552729 binary64) (.f64 (*.f64 x x) #s(literal -358318080000000000/16786655174842630561 binary64))))))))
(/ 25/3 x)
(/.f64 #s(literal 25/3 binary64) x)
(/ (+ 25/3 (* 64009/1728 (/ 1 (pow x 2)))) x)
(/.f64 (+.f64 #s(literal 25/3 binary64) (/.f64 #s(literal 64009/1728 binary64) (*.f64 x x))) x)
(/ (+ 25/3 (+ (* 64009/1728 (/ 1 (pow x 2))) (/ 4097152081/24883200 (pow x 4)))) x)
(/.f64 (+.f64 (+.f64 #s(literal 25/3 binary64) (/.f64 #s(literal 64009/1728 binary64) (.f64 x x))) (/.f64 #s(literal 4097152081/24883200 binary64) (.f64 (.f64 x x) (.f64 x x)))) x)
(/ (+ 25/3 (+ (* 64009/1728 (/ 1 (pow x 2))) (+ (* 262254607552729/358318080000 (/ 1 (pow x 6))) (/ 4097152081/24883200 (pow x 4))))) x)
(/.f64 (+.f64 #s(literal 25/3 binary64) (+.f64 (/.f64 #s(literal 4097152081/24883200 binary64) (.f64 (.f64 x x) (.f64 x x))) (+.f64 (/.f64 #s(literal 64009/1728 binary64) (.f64 x x)) (/.f64 #s(literal 262254607552729/358318080000 binary64) (pow.f64 x #s(literal 6 binary64)))))) x)
(/ 25/3 x)
(/.f64 #s(literal 25/3 binary64) x)
(/ (+ 25/3 (* 64009/1728 (/ 1 (pow x 2)))) x)
(/.f64 (+.f64 #s(literal 25/3 binary64) (/.f64 #s(literal 64009/1728 binary64) (*.f64 x x))) x)
(* -1 (/ (- (* -1 (/ (+ 64009/1728 (* 4097152081/24883200 (/ 1 (pow x 2)))) (pow x 2))) 25/3) x))
(/.f64 (+.f64 #s(literal 25/3 binary64) (/.f64 (+.f64 #s(literal 64009/1728 binary64) (/.f64 #s(literal 4097152081/24883200 binary64) (.f64 x x))) (.f64 x x))) x)
(* -1 (/ (- (* -1 (/ (+ 4097152081/24883200 (* 262254607552729/358318080000 (/ 1 (pow x 2)))) (pow x 4))) (+ 25/3 (* 64009/1728 (/ 1 (pow x 2))))) x))
(/.f64 (+.f64 #s(literal 25/3 binary64) (-.f64 (/.f64 #s(literal 64009/1728 binary64) (.f64 x x)) (/.f64 (-.f64 #s(literal -4097152081/24883200 binary64) (/.f64 #s(literal 262254607552729/358318080000 binary64) (.f64 x x))) (.f64 (.f64 x x) (*.f64 x x))))) x)
184009/120000
#s(literal 184009/120000 binary64)
(+ 184009/120000 (* -3/25 (pow x 2)))
(+.f64 (.f64 (.f64 x x) #s(literal -3/25 binary64)) #s(literal 184009/120000 binary64))
(+ 184009/120000 (* -3/25 (pow x 2)))
(+.f64 (.f64 (.f64 x x) #s(literal -3/25 binary64)) #s(literal 184009/120000 binary64))
(+ 184009/120000 (* -3/25 (pow x 2)))
(+.f64 (.f64 (.f64 x x) #s(literal -3/25 binary64)) #s(literal 184009/120000 binary64))
(* -3/25 (pow x 2))
(.f64 (.f64 x x) #s(literal -3/25 binary64))
(* (pow x 2) (- (* 184009/120000 (/ 1 (pow x 2))) 3/25))
(+.f64 (.f64 (.f64 x x) #s(literal -3/25 binary64)) #s(literal 184009/120000 binary64))
(* (pow x 2) (- (* 184009/120000 (/ 1 (pow x 2))) 3/25))
(+.f64 (.f64 (.f64 x x) #s(literal -3/25 binary64)) #s(literal 184009/120000 binary64))
(* (pow x 2) (- (* 184009/120000 (/ 1 (pow x 2))) 3/25))
(+.f64 (.f64 (.f64 x x) #s(literal -3/25 binary64)) #s(literal 184009/120000 binary64))
(* -3/25 (pow x 2))
(.f64 (.f64 x x) #s(literal -3/25 binary64))
(* (pow x 2) (- (* 184009/120000 (/ 1 (pow x 2))) 3/25))
(+.f64 (.f64 (.f64 x x) #s(literal -3/25 binary64)) #s(literal 184009/120000 binary64))
(* (pow x 2) (- (* 184009/120000 (/ 1 (pow x 2))) 3/25))
(+.f64 (.f64 (.f64 x x) #s(literal -3/25 binary64)) #s(literal 184009/120000 binary64))
(* (pow x 2) (- (* 184009/120000 (/ 1 (pow x 2))) 3/25))
(+.f64 (.f64 (.f64 x x) #s(literal -3/25 binary64)) #s(literal 184009/120000 binary64))
(* 9/625 (pow x 2))
(.f64 (.f64 x x) #s(literal 9/625 binary64))
(* 9/625 (pow x 2))
(.f64 (.f64 x x) #s(literal 9/625 binary64))
(* 9/625 (pow x 2))
(.f64 (.f64 x x) #s(literal 9/625 binary64))
(* 9/625 (pow x 2))
(.f64 (.f64 x x) #s(literal 9/625 binary64))
(* 9/625 (pow x 2))
(.f64 (.f64 x x) #s(literal 9/625 binary64))
(* 9/625 (pow x 2))
(.f64 (.f64 x x) #s(literal 9/625 binary64))
(* 9/625 (pow x 2))
(.f64 (.f64 x x) #s(literal 9/625 binary64))
(* 9/625 (pow x 2))
(.f64 (.f64 x x) #s(literal 9/625 binary64))
(* 9/625 (pow x 2))
(.f64 (.f64 x x) #s(literal 9/625 binary64))
(* 9/625 (pow x 2))
(.f64 (.f64 x x) #s(literal 9/625 binary64))
(* 9/625 (pow x 2))
(.f64 (.f64 x x) #s(literal 9/625 binary64))
(* 9/625 (pow x 2))
(.f64 (.f64 x x) #s(literal 9/625 binary64))
(* -253/1000 x)
(*.f64 x #s(literal -253/1000 binary64))
(* x (- (* -3/25 x) 253/1000))
(.f64 x (-.f64 #s(literal -253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))
(* x (- (* -3/25 x) 253/1000))
(.f64 x (-.f64 #s(literal -253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))
(* x (- (* -3/25 x) 253/1000))
(.f64 x (-.f64 #s(literal -253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))
(* -3/25 (pow x 2))
(.f64 (.f64 x x) #s(literal -3/25 binary64))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(.f64 x (-.f64 #s(literal -253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(.f64 x (-.f64 #s(literal -253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(.f64 x (-.f64 #s(literal -253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))
(* -3/25 (pow x 2))
(.f64 (.f64 x x) #s(literal -3/25 binary64))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(.f64 x (-.f64 #s(literal -253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(.f64 x (-.f64 #s(literal -253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(.f64 x (-.f64 #s(literal -253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))
(* 9/625 x)
(*.f64 x #s(literal 9/625 binary64))
(* 9/625 x)
(*.f64 x #s(literal 9/625 binary64))
(* 9/625 x)
(*.f64 x #s(literal 9/625 binary64))
(* 9/625 x)
(*.f64 x #s(literal 9/625 binary64))
(* 9/625 x)
(*.f64 x #s(literal 9/625 binary64))
(* 9/625 x)
(*.f64 x #s(literal 9/625 binary64))
(* 9/625 x)
(*.f64 x #s(literal 9/625 binary64))
(* 9/625 x)
(*.f64 x #s(literal 9/625 binary64))
(* 9/625 x)
(*.f64 x #s(literal 9/625 binary64))
(* 9/625 x)
(*.f64 x #s(literal 9/625 binary64))
(* 9/625 x)
(*.f64 x #s(literal 9/625 binary64))
(* 9/625 x)
(*.f64 x #s(literal 9/625 binary64))
(* -64009/1000000 x)
(*.f64 x #s(literal -64009/1000000 binary64))
(* x (- (* 9/625 (pow x 2)) 64009/1000000))
(.f64 x (+.f64 (.f64 (*.f64 x x) #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)))
(* x (- (* 9/625 (pow x 2)) 64009/1000000))
(.f64 x (+.f64 (.f64 (*.f64 x x) #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)))
(* x (- (* 9/625 (pow x 2)) 64009/1000000))
(.f64 x (+.f64 (.f64 (*.f64 x x) #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)))
(* 9/625 (pow x 3))
(.f64 (.f64 x (*.f64 x x)) #s(literal 9/625 binary64))
(* (pow x 3) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))
(.f64 x (+.f64 (.f64 (*.f64 x x) #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)))
(* (pow x 3) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))
(.f64 x (+.f64 (.f64 (*.f64 x x) #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)))
(* (pow x 3) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))
(.f64 x (+.f64 (.f64 (*.f64 x x) #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)))
(* 9/625 (pow x 3))
(.f64 (.f64 x (*.f64 x x)) #s(literal 9/625 binary64))
(* -1 (* (pow x 3) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625)))
(.f64 x (+.f64 (.f64 (*.f64 x x) #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)))
(* -1 (* (pow x 3) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625)))
(.f64 x (+.f64 (.f64 (*.f64 x x) #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)))
(* -1 (* (pow x 3) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625)))
(.f64 x (+.f64 (.f64 (*.f64 x x) #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)))
-253/1000
#s(literal -253/1000 binary64)
(- (* -3/25 x) 253/1000)
(-.f64 #s(literal -253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))
(- (* -3/25 x) 253/1000)
(-.f64 #s(literal -253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))
(- (* -3/25 x) 253/1000)
(-.f64 #s(literal -253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))
(* -3/25 x)
(*.f64 x #s(literal -3/25 binary64))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(-.f64 #s(literal -253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(-.f64 #s(literal -253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(-.f64 #s(literal -253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))
(* -3/25 x)
(*.f64 x #s(literal -3/25 binary64))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(-.f64 #s(literal -253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(-.f64 #s(literal -253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(-.f64 #s(literal -253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))
(* 3/25 x)
(*.f64 x #s(literal 3/25 binary64))
(* 3/25 x)
(*.f64 x #s(literal 3/25 binary64))
(* 3/25 x)
(*.f64 x #s(literal 3/25 binary64))
(* 3/25 x)
(*.f64 x #s(literal 3/25 binary64))
(* 3/25 x)
(*.f64 x #s(literal 3/25 binary64))
(* 3/25 x)
(*.f64 x #s(literal 3/25 binary64))
(* 3/25 x)
(*.f64 x #s(literal 3/25 binary64))
(* 3/25 x)
(*.f64 x #s(literal 3/25 binary64))
(* 3/25 x)
(*.f64 x #s(literal 3/25 binary64))
(* 3/25 x)
(*.f64 x #s(literal 3/25 binary64))
(* 3/25 x)
(*.f64 x #s(literal 3/25 binary64))
(* 3/25 x)
(*.f64 x #s(literal 3/25 binary64))
-64009/120000
#s(literal -64009/120000 binary64)
(- (* 3/25 (pow x 2)) 64009/120000)
(+.f64 (.f64 x (.f64 x #s(literal 3/25 binary64))) #s(literal -64009/120000 binary64))
(- (* 3/25 (pow x 2)) 64009/120000)
(+.f64 (.f64 x (.f64 x #s(literal 3/25 binary64))) #s(literal -64009/120000 binary64))
(- (* 3/25 (pow x 2)) 64009/120000)
(+.f64 (.f64 x (.f64 x #s(literal 3/25 binary64))) #s(literal -64009/120000 binary64))
(* 3/25 (pow x 2))
(.f64 x (.f64 x #s(literal 3/25 binary64)))
(* (pow x 2) (- 3/25 (* 64009/120000 (/ 1 (pow x 2)))))
(+.f64 (.f64 x (.f64 x #s(literal 3/25 binary64))) #s(literal -64009/120000 binary64))
(* (pow x 2) (- 3/25 (* 64009/120000 (/ 1 (pow x 2)))))
(+.f64 (.f64 x (.f64 x #s(literal 3/25 binary64))) #s(literal -64009/120000 binary64))
(* (pow x 2) (- 3/25 (* 64009/120000 (/ 1 (pow x 2)))))
(+.f64 (.f64 x (.f64 x #s(literal 3/25 binary64))) #s(literal -64009/120000 binary64))
(* 3/25 (pow x 2))
(.f64 x (.f64 x #s(literal 3/25 binary64)))
(* (pow x 2) (- 3/25 (* 64009/120000 (/ 1 (pow x 2)))))
(+.f64 (.f64 x (.f64 x #s(literal 3/25 binary64))) #s(literal -64009/120000 binary64))
(* (pow x 2) (- 3/25 (* 64009/120000 (/ 1 (pow x 2)))))
(+.f64 (.f64 x (.f64 x #s(literal 3/25 binary64))) #s(literal -64009/120000 binary64))
(* (pow x 2) (- 3/25 (* 64009/120000 (/ 1 (pow x 2)))))
(+.f64 (.f64 x (.f64 x #s(literal 3/25 binary64))) #s(literal -64009/120000 binary64))
-64009/1000000
#s(literal -64009/1000000 binary64)
(- (* 9/625 (pow x 2)) 64009/1000000)
(+.f64 (.f64 (.f64 x x) #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64))
(- (* 9/625 (pow x 2)) 64009/1000000)
(+.f64 (.f64 (.f64 x x) #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64))
(- (* 9/625 (pow x 2)) 64009/1000000)
(+.f64 (.f64 (.f64 x x) #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64))
(* 9/625 (pow x 2))
(.f64 (.f64 x x) #s(literal 9/625 binary64))
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))
(+.f64 (.f64 (.f64 x x) #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64))
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))
(+.f64 (.f64 (.f64 x x) #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64))
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))
(+.f64 (.f64 (.f64 x x) #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64))
(* 9/625 (pow x 2))
(.f64 (.f64 x x) #s(literal 9/625 binary64))
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))
(+.f64 (.f64 (.f64 x x) #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64))
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))
(+.f64 (.f64 (.f64 x x) #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64))
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))
(+.f64 (.f64 (.f64 x x) #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64))
(* 9/625 (pow x 2))
(.f64 (.f64 x x) #s(literal 9/625 binary64))
(* 9/625 (pow x 2))
(.f64 (.f64 x x) #s(literal 9/625 binary64))
(* 9/625 (pow x 2))
(.f64 (.f64 x x) #s(literal 9/625 binary64))
(* 9/625 (pow x 2))
(.f64 (.f64 x x) #s(literal 9/625 binary64))
(* 9/625 (pow x 2))
(.f64 (.f64 x x) #s(literal 9/625 binary64))
(* 9/625 (pow x 2))
(.f64 (.f64 x x) #s(literal 9/625 binary64))
(* 9/625 (pow x 2))
(.f64 (.f64 x x) #s(literal 9/625 binary64))
(* 9/625 (pow x 2))
(.f64 (.f64 x x) #s(literal 9/625 binary64))
(* 9/625 (pow x 2))
(.f64 (.f64 x x) #s(literal 9/625 binary64))
(* 9/625 (pow x 2))
(.f64 (.f64 x x) #s(literal 9/625 binary64))
(* 9/625 (pow x 2))
(.f64 (.f64 x x) #s(literal 9/625 binary64))
(* 9/625 (pow x 2))
(.f64 (.f64 x x) #s(literal 9/625 binary64))

eval754.0ms (6.8%)

Compiler: Compiled 35769 to 24534 computations (31.4% saved)

prune431.0ms (3.9%)

Pruning

14 alts after pruning (6 fresh and 8 done)

	Pruned	Kept	Total
New	2011	6	2017
Fresh	0	0	0
Picked	4	1	5
Done	0	7	7
Total	2015	14	2029

Accuracy

100.0%

Counts

2029 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	48.3%	(/.f64 (/.f64 x #s(literal 25/3 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) x)))
	48.2%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -25/3 binary64) x) x))
	48.9%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -25/3 binary64) (/.f64 #s(literal 1265/72 binary64) x)) (*.f64 x x)))
	98.7%	(-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3/25 binary64))))
✓	98.6%	(-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 25/3 binary64) x)))
✓	99.9%	(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))
✓	53.6%	(-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 253/1000 binary64)))
	40.9%	(.f64 (.f64 x (*.f64 x x)) (/.f64 #s(literal -3/25 binary64) x))
✓	48.4%	(.f64 (.f64 x x) #s(literal -3/25 binary64))
✓	49.3%	(.f64 x (-.f64 #s(literal -253/1000 binary64) (.f64 #s(literal 3/25 binary64) x)))
	48.3%	(.f64 x (.f64 x (/.f64 (*.f64 x #s(literal -9/625 binary64)) (/.f64 x #s(literal 25/3 binary64)))))
✓	48.3%	(.f64 x (.f64 x #s(literal -3/25 binary64)))
✓	3.6%	(*.f64 x #s(literal -253/1000 binary64))
✓	52.1%	#s(literal 1 binary64)

Compiler

Compiled 378 to 271 computations (28.3% saved)

regimes20.0ms (0.2%)

Counts

25 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
(*.f64 x #s(literal -253/1000 binary64))
(.f64 x (.f64 x #s(literal -3/25 binary64)))
(.f64 (.f64 x x) #s(literal -3/25 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 253/1000 binary64)))
(.f64 x (-.f64 #s(literal -253/1000 binary64) (.f64 #s(literal 3/25 binary64) x)))
(-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 25/3 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -25/3 binary64) x) x))
(/.f64 (/.f64 x #s(literal 25/3 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) x)))
(.f64 (.f64 x (*.f64 x x)) (/.f64 #s(literal -3/25 binary64) x))
(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))
(-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3/25 binary64))))
(.f64 x (.f64 x (/.f64 (*.f64 x #s(literal -9/625 binary64)) (/.f64 x #s(literal 25/3 binary64)))))
(-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 3/25 binary64)) #s(literal 253/1000 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -25/3 binary64) (/.f64 #s(literal 1265/72 binary64) x)) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -253/1000 binary64) (*.f64 x #s(literal -3/25 binary64)))) x))
(.f64 x (/.f64 (.f64 (.f64 x x) #s(literal -9/625 binary64)) (+.f64 #s(literal 0 binary64) (.f64 x #s(literal 3/25 binary64)))))
(-.f64 #s(literal 1 binary64) (.f64 x (/.f64 (.f64 x (.f64 x #s(literal 9/625 binary64))) (+.f64 (.f64 x #s(literal 3/25 binary64)) #s(literal -253/1000 binary64)))))
(-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (.f64 x #s(literal 3/25 binary64)) (+.f64 #s(literal -64009/1000000 binary64) (.f64 (*.f64 x x) #s(literal 9/625 binary64))))))
(/.f64 (.f64 x (+.f64 #s(literal -64009/1000000 binary64) (.f64 x (.f64 x #s(literal 9/625 binary64))))) (+.f64 (.f64 x #s(literal -3/25 binary64)) #s(literal 253/1000 binary64)))
(-.f64 #s(literal 1 binary64) (.f64 x (/.f64 (+.f64 (.f64 (.f64 x x) #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (+.f64 (.f64 x #s(literal 3/25 binary64)) #s(literal -253/1000 binary64)))))
(-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (+.f64 (.f64 x #s(literal 3/25 binary64)) #s(literal -253/1000 binary64)) (+.f64 #s(literal -64009/1000000 binary64) (.f64 (*.f64 x x) #s(literal 9/625 binary64))))))
(-.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 (.f64 (.f64 x x) #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) x) (+.f64 (.f64 x #s(literal 3/25 binary64)) #s(literal -253/1000 binary64))))
(-.f64 #s(literal 1 binary64) (.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x #s(literal 3/25 binary64)) #s(literal -253/1000 binary64)) (+.f64 (.f64 (.f64 x x) #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64))))))
(-.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.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))))))

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

Calls

3 calls:

8.0ms	(.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))
7.0ms	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
99.9%	1	`x`
99.9%	1	`(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))`
99.9%	1	`(.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))`

Compiler

Compiled 20 to 15 computations (25% saved)

regimes4.0ms (0%)

Counts

10 → 1

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
98.6%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes7.0ms (0.1%)

Counts

6 → 3

Calls

Call 1

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

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

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
99.2%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes10.0ms (0.1%)

Counts

5 → 3

Calls

Call 1

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

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

Calls

1 calls:

9.0ms

Results

Accuracy	Segments	Branch
98.9%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes5.0ms (0%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
98.7%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes5.0ms (0%)

Counts

3 → 3

Calls

Call 1

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

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
98.6%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Accuracy

Total -31.8b remaining (-103.9%)

Threshold costs -31.8b (-103.9%)

Counts

2 → 1

Calls

Call 1

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

Outputs
#s(literal 1 binary64)

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
52.1%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

bsearch33.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	5.3120756705431217e-11	9.378220345140293e+22
12.0ms	-40.82526496323151	-5.645364922096082e-8

Results

19.0ms

320×

valid

Compiler

Compiled 312 to 249 computations (20.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-mult: 5.0ms (43.6% of total)

ival-sub: 4.0ms (34.9% of total)

ival-add: 2.0ms (17.4% of total)

const: 1.0ms (8.7% of total)

backward-pass: 0.0ms (0% of total)

bsearch38.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
19.0ms	5.3120756705431217e-11	9.378220345140293e+22
16.0ms	-40.82526496323151	-5.645364922096082e-8

Results

24.0ms

320×

valid

Compiler

Compiled 294 to 231 computations (21.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-mult: 9.0ms (55.3% of total)

ival-sub: 5.0ms (30.7% of total)

ival-add: 2.0ms (12.3% of total)

const: 1.0ms (6.1% of total)

backward-pass: 0.0ms (0% of total)

bsearch32.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	5.3120756705431217e-11	9.378220345140293e+22
12.0ms	-40.82526496323151	-5.645364922096082e-8

Results

18.0ms

320×

valid

Compiler

Compiled 214 to 171 computations (20.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-mult: 7.0ms (65.8% of total)

ival-sub: 2.0ms (18.8% of total)

ival-add: 2.0ms (18.8% of total)

const: 1.0ms (9.4% of total)

backward-pass: 0.0ms (0% of total)

bsearch34.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	5.3120756705431217e-11	9.378220345140293e+22
14.0ms	-40.82526496323151	-5.645364922096082e-8

Results

19.0ms

320×

valid

Compiler

Compiled 214 to 171 computations (20.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-mult: 7.0ms (61.3% of total)

ival-sub: 2.0ms (17.5% of total)

ival-add: 2.0ms (17.5% of total)

const: 1.0ms (8.8% of total)

backward-pass: 0.0ms (0% of total)

soundness2.0ms (0%)

Stop Event

1×

fuel

Compiler

Compiled 104 to 73 computations (29.8% saved)

preprocess53.0ms (0.5%)

Compiler: Compiled 228 to 162 computations (28.9% saved)

analyze0.0ms (0%)

sample725.0ms (6.5%)

preprocess63.0ms (0.6%)

explain109.0ms (1%)

eval0.0ms (0%)

prune1.0ms (0%)

localize92.0ms (0.8%)

series8.0ms (0.1%)

rewrite611.0ms (5.5%)

simplify426.0ms (3.8%)

eval122.0ms (1.1%)

prune57.0ms (0.5%)

localize640.0ms (5.8%)

series23.0ms (0.2%)

rewrite726.0ms (6.5%)

simplify673.0ms (6.1%)

eval556.0ms (5%)

prune203.0ms (1.8%)

localize421.0ms (3.8%)

series17.0ms (0.2%)

rewrite654.0ms (5.9%)

simplify898.0ms (8.1%)

eval389.0ms (3.5%)

prune165.0ms (1.5%)

localize828.0ms (7.5%)

series30.0ms (0.3%)

rewrite657.0ms (5.9%)

simplify567.0ms (5.1%)

eval754.0ms (6.8%)

prune431.0ms (3.9%)

regimes20.0ms (0.2%)

regimes4.0ms (0%)

regimes7.0ms (0.1%)

regimes10.0ms (0.1%)

regimes5.0ms (0%)

regimes5.0ms (0%)

regimes2.0ms (0%)

bsearch33.0ms (0.3%)

bsearch38.0ms (0.3%)

bsearch32.0ms (0.3%)

bsearch34.0ms (0.3%)

soundness2.0ms (0%)

preprocess53.0ms (0.5%)

end0.0ms (0%)

Profiling