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)

sample686.0ms (8.7%)

Results

481.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 275.0ms

ival-mult: 148.0ms (53.9% of total)

ival-sub: 58.0ms (21.1% of total)

ival-add: 49.0ms (17.8% of total)

const: 17.0ms (6.2% of total)

backward-pass: 3.0ms (1.1% of total)

Bogosity

preprocess63.0ms (0.8%)

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)

explain155.0ms (2%)

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

112.0ms	510×	0	valid
1.0ms	2×	5	exit

Compiler

Compiled 70 to 26 computations (62.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 91.0ms

ival-mult: 83.0ms (91.4% of total)

ival-sub: 3.0ms (3.3% of total)

ival-add: 3.0ms (3.3% of total)

const: 1.0ms (1.1% of total)

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

eval0.0ms (0%)

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

prune49.0ms (0.6%)

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)

localize94.0ms (1.2%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

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

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	255×	0	valid
0.0ms	1×	5	exit

Compiler

Compiled 30 to 9 computations (70% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-mult: 4.0ms (51.1% of total)

const: 1.0ms (12.8% of total)

ival-sub: 1.0ms (12.8% of total)

ival-add: 1.0ms (12.8% of total)

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

series9.0ms (0.1%)

Counts

6 → 60

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))))>
#<alt 1>
#<alt x>

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))>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	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)

rewrite419.0ms (5.3%)

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	26
1	51	26
2	425	26
3	4311	26
0	8260	22

Stop Event

1×	iter limit
1×	node limit

Counts

6 → 321

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))))
1
x

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

simplify321.0ms (4%)

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	266
1	93	266
2	217	260
3	498	260
4	1012	260
5	2374	260
6	4090	260
7	5190	260
8	6475	260
9	7517	260
0	8001	227

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 60

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))
x
x
x
x
x
x
x
x
x
x
x
x

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

eval101.0ms (1.3%)

Compiler: Compiled 10730 to 958 computations (91.1% saved)

prune51.0ms (0.6%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	388	8	396
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	388	9	397

Accuracy

100.0%

Counts

397 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(-.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 3/25 binary64)))) (*.f64 x #s(literal 253/1000 binary64)))
▶	66.1%	(-.f64 #s(literal 1 binary64) (/.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))))))))
	99.8%	(-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 64009/1000000 binary64) (.f64 (.f64 x x) #s(literal -9/625 binary64))) (/.f64 x (-.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))))
✓	99.9%	(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))
▶	56.4%	(-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 253/1000 binary64)))
▶	97.4%	(-.f64 #s(literal 1 binary64) (.f64 #s(literal 3/25 binary64) (.f64 x x)))
	46.1%	(.f64 x (+.f64 #s(literal -253/1000 binary64) (.f64 x #s(literal -3/25 binary64))))
	44.7%	(.f64 x (.f64 x #s(literal -3/25 binary64)))
▶	54.6%	#s(literal 1 binary64)

Compiler

Compiled 186 to 126 computations (32.3% saved)

localize766.0ms (9.7%)

Algorithm

1×	egg-herbie

Localize:

Found 30 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	#s(literal 1 binary64)
✓	cost-diff	896	(/.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))))))
✓	cost-diff	1152	(/.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)))))))
✓	cost-diff	1152	(-.f64 #s(literal 1 binary64) (/.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))))))))
✓	cost-diff	0	#s(literal 3/25 binary64)
✓	cost-diff	0	(.f64 #s(literal 3/25 binary64) (.f64 x x))
✓	cost-diff	0	#s(literal 1 binary64)
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (.f64 #s(literal 3/25 binary64) (.f64 x x)))
✓	cost-diff	0	x
✓	cost-diff	0	(*.f64 x #s(literal 253/1000 binary64))
✓	cost-diff	0	#s(literal 1 binary64)
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 253/1000 binary64)))
✓	cost-diff	0	#s(literal 1 binary64)
✓	cost-diff	0	(.f64 x (.f64 x #s(literal 3/25 binary64)))
✓	cost-diff	0	#s(literal 1 binary64)
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 3/25 binary64))))
✓	cost-diff	128	(-.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 3/25 binary64)))) (*.f64 x #s(literal 253/1000 binary64)))
✓	accuracy	99.7%	(.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)))))
✓	accuracy	99.7%	(/.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)))))))
✓	accuracy	99.6%	(*.f64 x #s(literal 3/25 binary64))
✓	accuracy	41.1%	(/.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))))))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) (.f64 #s(literal 3/25 binary64) (.f64 x x)))
✓	accuracy	99.8%	(.f64 #s(literal 3/25 binary64) (.f64 x x))
✓	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	100.0%	(-.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 3/25 binary64)))) (*.f64 x #s(literal 253/1000 binary64)))
✓	accuracy	99.9%	(*.f64 x #s(literal 253/1000 binary64))
✓	accuracy	99.8%	(.f64 x (.f64 x #s(literal 3/25 binary64)))
✓	accuracy	99.6%	(*.f64 x #s(literal 3/25 binary64))

Rules

4434×	`/-lowering-/.f32`
4434×	`/-lowering-/.f64`
4266×	`-lowering-.f32`
4266×	`-lowering-.f64`
3454×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	165
1	71	165
2	240	119
3	1319	115
4	7940	115
0	9726	100

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

Results

60.0ms	254×	0	valid
3.0ms	2×	5	exit

Compiler

Compiled 186 to 22 computations (88.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 35.0ms

ival-mult: 21.0ms (59.8% of total)

ival-sub: 8.0ms (22.8% of total)

ival-div: 4.0ms (11.4% of total)

const: 1.0ms (2.8% of total)

backward-pass: 1.0ms (2.8% of total)

ival-add: 1.0ms (2.8% of total)

series21.0ms (0.3%)

Counts

16 → 168

Calls

Call 1

Inputs
#<alt (* x 3/25)>
#<alt (* x (* x 3/25))>
#<alt (* x 253/1000)>
#<alt (- (- 1 (* x (* x 3/25))) (* x 253/1000))>
#<alt (- 1 (* x 253/1000))>
#<alt (* 3/25 (* x x))>
#<alt (- 1 (* 3/25 (* x x)))>
#<alt (* x x)>
#<alt (/ (* x (- 253/1000 (* x 3/25))) (* (* x (+ (* x 3/25) 253/1000)) (* x (- 253/1000 (* x 3/25)))))>
#<alt (/ 1 (/ (* x (- 253/1000 (* x 3/25))) (* (* x (+ (* x 3/25) 253/1000)) (* x (- 253/1000 (* x 3/25))))))>
#<alt (* (* x (+ (* x 3/25) 253/1000)) (* x (- 253/1000 (* x 3/25))))>
#<alt (- 1 (* x (* x 3/25)))>
#<alt 1>
#<alt x>
#<alt 3/25>
#<alt (- 1 (/ 1 (/ (* x (- 253/1000 (* x 3/25))) (* (* x (+ (* x 3/25) 253/1000)) (* 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 (* 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 (* 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 (* 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 (* -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 (* 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 (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 (/ 1000/253 x)>
#<alt (/ (+ 1000/253 (* -120000/64009 x)) x)>
#<alt (/ (+ 1000/253 (* x (- (* 14400000/16194277 x) 120000/64009))) x)>
#<alt (/ (+ 1000/253 (* x (- (* x (+ 14400000/16194277 (* -1728000000/4097152081 x))) 120000/64009))) x)>
#<alt (/ 25/3 (pow x 2))>
#<alt (/ (- 25/3 (* 1265/72 (/ 1 x))) (pow x 2))>
#<alt (/ (- (+ 25/3 (/ 64009/1728 (pow x 2))) (* 1265/72 (/ 1 x))) (pow x 2))>
#<alt (/ (- (+ 25/3 (/ 64009/1728 (pow x 2))) (+ (* 1265/72 (/ 1 x)) (* 16194277/207360 (/ 1 (pow x 3))))) (pow x 2))>
#<alt (/ 25/3 (pow x 2))>
#<alt (/ (- 25/3 (* 1265/72 (/ 1 x))) (pow x 2))>
#<alt (/ (+ 25/3 (* -1 (/ (- 1265/72 (* 64009/1728 (/ 1 x))) x))) (pow x 2))>
#<alt (/ (+ 25/3 (* -1 (/ (+ 1265/72 (* -1 (/ (- 64009/1728 (* 16194277/207360 (/ 1 x))) x))) x))) (pow x 2))>
#<alt (* 253/1000 x)>
#<alt (* x (+ 253/1000 (* 3/25 x)))>
#<alt (* x (+ 253/1000 (* 3/25 x)))>
#<alt (* x (+ 253/1000 (* 3/25 x)))>
#<alt (* 3/25 (pow x 2))>
#<alt (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))>
#<alt (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))>
#<alt (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))>
#<alt (* 3/25 (pow x 2))>
#<alt (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))>
#<alt (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))>
#<alt (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))>
#<alt (* 64009/1000000 (pow x 2))>
#<alt (* (pow x 2) (+ 64009/1000000 (* -9/625 (pow x 2))))>
#<alt (* (pow x 2) (+ 64009/1000000 (* -9/625 (pow x 2))))>
#<alt (* (pow x 2) (+ 64009/1000000 (* -9/625 (pow x 2))))>
#<alt (* -9/625 (pow x 4))>
#<alt (* (pow x 4) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))>
#<alt (* (pow x 4) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))>
#<alt (* (pow x 4) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))>
#<alt (* -9/625 (pow x 4))>
#<alt (* (pow x 4) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))>
#<alt (* (pow x 4) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))>
#<alt (* (pow x 4) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))>
#<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 x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt 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

42 calls:

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

rewrite746.0ms (9.4%)

Algorithm

1×	batch-egg-rewrite

Rules

11680×	`accelerator-lowering-fma.f32`
11680×	`accelerator-lowering-fma.f64`
4062×	`-lowering-.f32`
4062×	`-lowering-.f64`
3806×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	122
1	166	120
2	1338	90
0	8887	81

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 654

Calls

Call 1

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

Outputs
(*.f64 x #s(literal 3/25 binary64))
(*.f64 #s(literal 3/25 binary64) x)
(.f64 #s(literal 1 binary64) (.f64 x #s(literal 3/25 binary64)))
(.f64 x (.f64 x #s(literal 3/25 binary64)))
(.f64 #s(literal 3/25 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal 3/25 binary64)) x)
(.f64 (.f64 x (*.f64 x #s(literal 3/25 binary64))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal 3/25 binary64))))
(.f64 (.f64 x x) #s(literal 3/25 binary64))
(*.f64 x #s(literal 253/1000 binary64))
(*.f64 #s(literal 253/1000 binary64) x)
(.f64 (.f64 x #s(literal 253/1000 binary64)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 x #s(literal 253/1000 binary64)))
(+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 x (+.f64 (.f64 x #s(literal 3/25 binary64)) #s(literal 253/1000 binary64)))))
(+.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 (.f64 x #s(literal 3/25 binary64)) #s(literal 253/1000 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x #s(literal 3/25 binary64)) #s(literal 253/1000 binary64))) x))
(+.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x #s(literal -3/25 binary64))) (*.f64 x #s(literal -253/1000 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 0 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 #s(literal 0 binary64) x) (/.f64 (.f64 (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal -3/25 binary64)))) (+.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 0 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 253/1000 binary64) (.f64 x #s(literal -3/25 binary64))) (+.f64 (*.f64 x #s(literal 3/25 binary64)) #s(literal 253/1000 binary64))))))
(+.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 0 binary64) (.f64 (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal -3/25 binary64))) (.f64 x (.f64 x (+.f64 (.f64 x #s(literal 3/25 binary64)) #s(literal 253/1000 binary64)))))) (/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal -3/25 binary64))))))
(+.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x (+.f64 (.f64 x #s(literal 3/25 binary64)) #s(literal 253/1000 binary64))))) (/.f64 #s(literal 1 binary64) x)))
(+.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x (+.f64 (*.f64 x #s(literal 3/25 binary64)) #s(literal 253/1000 binary64)))))))
(+.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x #s(literal 3/25 binary64)) #s(literal 253/1000 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (.f64 (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal -3/25 binary64)))) (+.f64 (.f64 x #s(literal 3/25 binary64)) #s(literal 253/1000 binary64))) (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal -3/25 binary64))))))
(+.f64 #s(literal 1 binary64) (.f64 (neg.f64 (/.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal -3/25 binary64))))) (/.f64 (.f64 (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal -3/25 binary64)))) (+.f64 (.f64 x #s(literal 3/25 binary64)) #s(literal 253/1000 binary64))) x)))
(+.f64 #s(literal 1 binary64) (.f64 (neg.f64 (/.f64 (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal -3/25 binary64)))) x)) (/.f64 (.f64 x (+.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 #s(literal 1 binary64) (.f64 (neg.f64 (/.f64 (.f64 x (+.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 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal -3/25 binary64)))) x)))
(+.f64 #s(literal 1 binary64) (.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) (+.f64 (.f64 x #s(literal 3/25 binary64)) #s(literal 253/1000 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 (neg.f64 (/.f64 (.f64 x (.f64 x (+.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 #s(literal 253/1000 binary64) (.f64 x #s(literal -3/25 binary64))) x)))
(+.f64 #s(literal 1 binary64) (.f64 (neg.f64 (pow.f64 (.f64 x (+.f64 (.f64 x #s(literal 3/25 binary64)) #s(literal 253/1000 binary64))) #s(literal 1/2 binary64))) (pow.f64 (.f64 x (+.f64 (*.f64 x #s(literal 3/25 binary64)) #s(literal 253/1000 binary64))) #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 (neg.f64 (.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal -3/25 binary64)))) x)) (.f64 (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal -3/25 binary64)))) (+.f64 (*.f64 x #s(literal 3/25 binary64)) #s(literal 253/1000 binary64)))))
(+.f64 #s(literal 1 binary64) (.f64 (neg.f64 (.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal -3/25 binary64)))) (.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 (neg.f64 (.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal -3/25 binary64)))) (.f64 x (.f64 x (+.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 #s(literal 1 binary64) (.f64 (neg.f64 (/.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal -3/25 binary64)))))) (-.f64 #s(literal 0 binary64) (.f64 (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal -3/25 binary64))) (.f64 x (.f64 x (+.f64 (.f64 x #s(literal 3/25 binary64)) #s(literal 253/1000 binary64))))))))
(+.f64 #s(literal 1 binary64) (.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal -3/25 binary64))) (+.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 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -3/25 binary64)))) (*.f64 x #s(literal -253/1000 binary64)))
(+.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -3/25 binary64)))) (.f64 (.f64 x #s(literal -253/1000 binary64)) #s(literal 1 binary64)))
(+.f64 (.f64 x #s(literal -253/1000 binary64)) (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -3/25 binary64)))))
(+.f64 (-.f64 #s(literal 0 binary64) (.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 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x #s(literal 3/25 binary64)) #s(literal 253/1000 binary64))))))) (neg.f64 (/.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))) (.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 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x #s(literal 3/25 binary64)) #s(literal 253/1000 binary64)))))))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x #s(literal 3/25 binary64)) #s(literal 253/1000 binary64))))) (neg.f64 (/.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 x (+.f64 (*.f64 x #s(literal 3/25 binary64)) #s(literal 253/1000 binary64)))))))
(+.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -3/25 binary64)))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -3/25 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -3/25 binary64)))))) (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -3/25 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -3/25 binary64))))) (.f64 (.f64 x #s(literal 253/1000 binary64)) (+.f64 (.f64 x #s(literal 253/1000 binary64)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -3/25 binary64)))))))) (neg.f64 (/.f64 (.f64 #s(literal 16194277/1000000000 binary64) (.f64 x (.f64 x x))) (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -3/25 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -3/25 binary64))))) (.f64 (.f64 x #s(literal 253/1000 binary64)) (+.f64 (.f64 x #s(literal 253/1000 binary64)) (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -3/25 binary64))))))))))
(+.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -3/25 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -3/25 binary64))))) (+.f64 (.f64 x #s(literal 253/1000 binary64)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -3/25 binary64)))))) (neg.f64 (/.f64 (.f64 (.f64 x x) #s(literal 64009/1000000 binary64)) (+.f64 (.f64 x #s(literal 253/1000 binary64)) (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -3/25 binary64))))))))
(-.f64 #s(literal 1 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 x #s(literal -3/25 binary64)))) (*.f64 x #s(literal 253/1000 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 #s(literal 1 binary64) (.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))) (.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 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x #s(literal 3/25 binary64)) #s(literal 253/1000 binary64))))))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.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))) (.f64 x (+.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)) #s(literal 253/1000 binary64))))))
(-.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -3/25 binary64)))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -3/25 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -3/25 binary64)))))) (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -3/25 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -3/25 binary64))))) (.f64 (.f64 x #s(literal 253/1000 binary64)) (+.f64 (.f64 x #s(literal 253/1000 binary64)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -3/25 binary64)))))))) (/.f64 (.f64 #s(literal 16194277/1000000000 binary64) (.f64 x (.f64 x x))) (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -3/25 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -3/25 binary64))))) (.f64 (.f64 x #s(literal 253/1000 binary64)) (+.f64 (.f64 x #s(literal 253/1000 binary64)) (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -3/25 binary64)))))))))
(-.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -3/25 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -3/25 binary64))))) (+.f64 (.f64 x #s(literal 253/1000 binary64)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -3/25 binary64)))))) (/.f64 (.f64 (.f64 x x) #s(literal 64009/1000000 binary64)) (+.f64 (.f64 x #s(literal 253/1000 binary64)) (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -3/25 binary64)))))))
(fma.f64 x #s(literal -253/1000 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -3/25 binary64)))))
(fma.f64 #s(literal 253/1000 binary64) (-.f64 #s(literal 0 binary64) x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -3/25 binary64)))))
(fma.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -3/25 binary64)))) (*.f64 x #s(literal -253/1000 binary64)))
(fma.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -3/25 binary64)))) (.f64 (.f64 x #s(literal -253/1000 binary64)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (.f64 x #s(literal -253/1000 binary64)) (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -3/25 binary64)))))
(fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 x (+.f64 (.f64 x #s(literal 3/25 binary64)) #s(literal 253/1000 binary64)))) #s(literal 1 binary64))
(fma.f64 #s(literal 1 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 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x #s(literal 3/25 binary64)) #s(literal 253/1000 binary64))))))) (neg.f64 (/.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))) (.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 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x #s(literal 3/25 binary64)) #s(literal 253/1000 binary64)))))))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x #s(literal 3/25 binary64)) #s(literal 253/1000 binary64))))) (neg.f64 (/.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 x (+.f64 (*.f64 x #s(literal 3/25 binary64)) #s(literal 253/1000 binary64)))))))
(fma.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -3/25 binary64)))) #s(literal 1 binary64) (*.f64 x #s(literal -253/1000 binary64)))
(fma.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -3/25 binary64)))) #s(literal 1 binary64) (.f64 (.f64 x #s(literal -253/1000 binary64)) #s(literal 1 binary64)))
(fma.f64 #s(literal -1 binary64) (.f64 x #s(literal 253/1000 binary64)) (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -3/25 binary64)))))
(fma.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 x #s(literal 3/25 binary64)) #s(literal 253/1000 binary64))) #s(literal 1 binary64))
(fma.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -3/25 binary64)))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -3/25 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -3/25 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -3/25 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -3/25 binary64))))) (.f64 (.f64 x #s(literal 253/1000 binary64)) (+.f64 (.f64 x #s(literal 253/1000 binary64)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -3/25 binary64)))))))) (neg.f64 (/.f64 (.f64 #s(literal 16194277/1000000000 binary64) (.f64 x (.f64 x x))) (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -3/25 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -3/25 binary64))))) (.f64 (.f64 x #s(literal 253/1000 binary64)) (+.f64 (.f64 x #s(literal 253/1000 binary64)) (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -3/25 binary64))))))))))
(fma.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -3/25 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -3/25 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x #s(literal 253/1000 binary64)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -3/25 binary64)))))) (neg.f64 (/.f64 (.f64 (.f64 x x) #s(literal 64009/1000000 binary64)) (+.f64 (.f64 x #s(literal 253/1000 binary64)) (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -3/25 binary64))))))))
(fma.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -27/15625 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x #s(literal 3/25 binary64))) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -3/25 binary64))))))) (.f64 x #s(literal -253/1000 binary64)))
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(.f64 (-.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))) (.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 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x #s(literal 3/25 binary64)) #s(literal 253/1000 binary64))))))))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x #s(literal 3/25 binary64)) #s(literal 253/1000 binary64)))) (+.f64 (.f64 x #s(literal 253/1000 binary64)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -3/25 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x #s(literal 253/1000 binary64)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -3/25 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 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x #s(literal 3/25 binary64)) #s(literal 253/1000 binary64))))))
(.f64 (-.f64 #s(literal 0 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))) (.f64 x (+.f64 (.f64 x #s(literal 3/25 binary64)) #s(literal 253/1000 binary64))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.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)) #s(literal 253/1000 binary64)))))))))
(.f64 (-.f64 #s(literal 0 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 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x #s(literal 3/25 binary64)) #s(literal 253/1000 binary64)))))))
(.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -3/25 binary64)))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -3/25 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -3/25 binary64)))))) (.f64 (.f64 x (.f64 x x)) #s(literal -16194277/1000000000 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -3/25 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -3/25 binary64))))) (.f64 (.f64 x #s(literal 253/1000 binary64)) (+.f64 (.f64 x #s(literal 253/1000 binary64)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -3/25 binary64))))))))))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x #s(literal 3/25 binary64)) #s(literal 253/1000 binary64)))) (+.f64 (.f64 x #s(literal 253/1000 binary64)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -3/25 binary64))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x #s(literal 253/1000 binary64)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -3/25 binary64))))))))

simplify538.0ms (6.8%)

Algorithm

1×	egg-herbie

Rules

12882×	`accelerator-lowering-fma.f32`
12882×	`accelerator-lowering-fma.f64`
3404×	`-lowering-.f32`
3404×	`-lowering-.f64`
2506×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	109	946
1	273	946
2	622	926
3	1372	922
4	3055	922
5	6771	922
0	8070	841

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 168

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)
(* 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))
(* 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 (* 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 (* -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))))
(* 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))
(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)
(/ 1000/253 x)
(/ (+ 1000/253 (* -120000/64009 x)) x)
(/ (+ 1000/253 (* x (- (* 14400000/16194277 x) 120000/64009))) x)
(/ (+ 1000/253 (* x (- (* x (+ 14400000/16194277 (* -1728000000/4097152081 x))) 120000/64009))) x)
(/ 25/3 (pow x 2))
(/ (- 25/3 (* 1265/72 (/ 1 x))) (pow x 2))
(/ (- (+ 25/3 (/ 64009/1728 (pow x 2))) (* 1265/72 (/ 1 x))) (pow x 2))
(/ (- (+ 25/3 (/ 64009/1728 (pow x 2))) (+ (* 1265/72 (/ 1 x)) (* 16194277/207360 (/ 1 (pow x 3))))) (pow x 2))
(/ 25/3 (pow x 2))
(/ (- 25/3 (* 1265/72 (/ 1 x))) (pow x 2))
(/ (+ 25/3 (* -1 (/ (- 1265/72 (* 64009/1728 (/ 1 x))) x))) (pow x 2))
(/ (+ 25/3 (* -1 (/ (+ 1265/72 (* -1 (/ (- 64009/1728 (* 16194277/207360 (/ 1 x))) x))) x))) (pow x 2))
(* 253/1000 x)
(* x (+ 253/1000 (* 3/25 x)))
(* x (+ 253/1000 (* 3/25 x)))
(* x (+ 253/1000 (* 3/25 x)))
(* 3/25 (pow x 2))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(* 3/25 (pow x 2))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(* 64009/1000000 (pow x 2))
(* (pow x 2) (+ 64009/1000000 (* -9/625 (pow x 2))))
(* (pow x 2) (+ 64009/1000000 (* -9/625 (pow x 2))))
(* (pow x 2) (+ 64009/1000000 (* -9/625 (pow x 2))))
(* -9/625 (pow x 4))
(* (pow x 4) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))
(* (pow x 4) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))
(* (pow x 4) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))
(* -9/625 (pow x 4))
(* (pow x 4) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))
(* (pow x 4) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))
(* (pow x 4) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))
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))
x
x
x
x
x
x
x
x
x
x
x
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)
(* 3/25 (pow x 2))
(.f64 #s(literal 3/25 binary64) (.f64 x x))
(* 3/25 (pow x 2))
(.f64 #s(literal 3/25 binary64) (.f64 x x))
(* 3/25 (pow x 2))
(.f64 #s(literal 3/25 binary64) (.f64 x x))
(* 3/25 (pow x 2))
(.f64 #s(literal 3/25 binary64) (.f64 x x))
(* 3/25 (pow x 2))
(.f64 #s(literal 3/25 binary64) (.f64 x x))
(* 3/25 (pow x 2))
(.f64 #s(literal 3/25 binary64) (.f64 x x))
(* 3/25 (pow x 2))
(.f64 #s(literal 3/25 binary64) (.f64 x x))
(* 3/25 (pow x 2))
(.f64 #s(literal 3/25 binary64) (.f64 x x))
(* 3/25 (pow x 2))
(.f64 #s(literal 3/25 binary64) (.f64 x x))
(* 3/25 (pow x 2))
(.f64 #s(literal 3/25 binary64) (.f64 x x))
(* 3/25 (pow x 2))
(.f64 #s(literal 3/25 binary64) (.f64 x x))
(* 3/25 (pow x 2))
(.f64 #s(literal 3/25 binary64) (.f64 x x))
(* 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))
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 x #s(literal -3/25 binary64)))))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(+.f64 #s(literal 1 binary64) (.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)))
(* -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 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 x #s(literal -3/25 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 #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 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 x #s(literal -3/25 binary64)))))
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)))
(* 3/25 (pow x 2))
(.f64 #s(literal 3/25 binary64) (.f64 x x))
(* 3/25 (pow x 2))
(.f64 #s(literal 3/25 binary64) (.f64 x x))
(* 3/25 (pow x 2))
(.f64 #s(literal 3/25 binary64) (.f64 x x))
(* 3/25 (pow x 2))
(.f64 #s(literal 3/25 binary64) (.f64 x x))
(* 3/25 (pow x 2))
(.f64 #s(literal 3/25 binary64) (.f64 x x))
(* 3/25 (pow x 2))
(.f64 #s(literal 3/25 binary64) (.f64 x x))
(* 3/25 (pow x 2))
(.f64 #s(literal 3/25 binary64) (.f64 x x))
(* 3/25 (pow x 2))
(.f64 #s(literal 3/25 binary64) (.f64 x x))
(* 3/25 (pow x 2))
(.f64 #s(literal 3/25 binary64) (.f64 x x))
(* 3/25 (pow x 2))
(.f64 #s(literal 3/25 binary64) (.f64 x x))
(* 3/25 (pow x 2))
(.f64 #s(literal 3/25 binary64) (.f64 x x))
(* 3/25 (pow x 2))
(.f64 #s(literal 3/25 binary64) (.f64 x x))
1
#s(literal 1 binary64)
(+ 1 (* -3/25 (pow x 2)))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -3/25 binary64))))
(+ 1 (* -3/25 (pow x 2)))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -3/25 binary64))))
(+ 1 (* -3/25 (pow x 2)))
(+.f64 #s(literal 1 binary64) (.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) (- (/ 1 (pow x 2)) 3/25))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -3/25 binary64))))
(* (pow x 2) (- (/ 1 (pow x 2)) 3/25))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -3/25 binary64))))
(* (pow x 2) (- (/ 1 (pow x 2)) 3/25))
(+.f64 #s(literal 1 binary64) (.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) (- (/ 1 (pow x 2)) 3/25))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -3/25 binary64))))
(* (pow x 2) (- (/ 1 (pow x 2)) 3/25))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -3/25 binary64))))
(* (pow x 2) (- (/ 1 (pow x 2)) 3/25))
(+.f64 #s(literal 1 binary64) (.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)
(/ 1000/253 x)
(/.f64 #s(literal 1000/253 binary64) x)
(/ (+ 1000/253 (* -120000/64009 x)) x)
(/.f64 (+.f64 #s(literal 1000/253 binary64) (*.f64 x #s(literal -120000/64009 binary64))) x)
(/ (+ 1000/253 (* x (- (* 14400000/16194277 x) 120000/64009))) x)
(/.f64 (+.f64 #s(literal 1000/253 binary64) (.f64 x (+.f64 #s(literal -120000/64009 binary64) (.f64 x #s(literal 14400000/16194277 binary64))))) x)
(/ (+ 1000/253 (* x (- (* x (+ 14400000/16194277 (* -1728000000/4097152081 x))) 120000/64009))) x)
(/.f64 (+.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))))))) x)
(/ 25/3 (pow x 2))
(/.f64 #s(literal 25/3 binary64) (*.f64 x x))
(/ (- 25/3 (* 1265/72 (/ 1 x))) (pow x 2))
(/.f64 (+.f64 #s(literal 25/3 binary64) (/.f64 #s(literal -1265/72 binary64) x)) (*.f64 x x))
(/ (- (+ 25/3 (/ 64009/1728 (pow x 2))) (* 1265/72 (/ 1 x))) (pow x 2))
(/.f64 (+.f64 #s(literal 25/3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 64009/1728 binary64) x) #s(literal -1265/72 binary64)) x)) (*.f64 x x))
(/ (- (+ 25/3 (/ 64009/1728 (pow x 2))) (+ (* 1265/72 (/ 1 x)) (* 16194277/207360 (/ 1 (pow x 3))))) (pow x 2))
(/.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)) (*.f64 x x))
(/ 25/3 (pow x 2))
(/.f64 #s(literal 25/3 binary64) (*.f64 x x))
(/ (- 25/3 (* 1265/72 (/ 1 x))) (pow x 2))
(/.f64 (+.f64 #s(literal 25/3 binary64) (/.f64 #s(literal -1265/72 binary64) x)) (*.f64 x x))
(/ (+ 25/3 (* -1 (/ (- 1265/72 (* 64009/1728 (/ 1 x))) x))) (pow x 2))
(/.f64 (+.f64 #s(literal 25/3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 64009/1728 binary64) x) #s(literal -1265/72 binary64)) x)) (*.f64 x x))
(/ (+ 25/3 (* -1 (/ (+ 1265/72 (* -1 (/ (- 64009/1728 (* 16194277/207360 (/ 1 x))) x))) x))) (pow x 2))
(/.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)) (*.f64 x 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)))
(* 64009/1000000 (pow x 2))
(.f64 (.f64 x x) #s(literal 64009/1000000 binary64))
(* (pow x 2) (+ 64009/1000000 (* -9/625 (pow x 2))))
(.f64 x (.f64 x (+.f64 #s(literal 64009/1000000 binary64) (.f64 (.f64 x x) #s(literal -9/625 binary64)))))
(* (pow x 2) (+ 64009/1000000 (* -9/625 (pow x 2))))
(.f64 x (.f64 x (+.f64 #s(literal 64009/1000000 binary64) (.f64 (.f64 x x) #s(literal -9/625 binary64)))))
(* (pow x 2) (+ 64009/1000000 (* -9/625 (pow x 2))))
(.f64 x (.f64 x (+.f64 #s(literal 64009/1000000 binary64) (.f64 (.f64 x x) #s(literal -9/625 binary64)))))
(* -9/625 (pow x 4))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -9/625 binary64))))
(* (pow x 4) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))
(.f64 x (.f64 x (+.f64 #s(literal 64009/1000000 binary64) (.f64 (.f64 x x) #s(literal -9/625 binary64)))))
(* (pow x 4) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))
(.f64 x (.f64 x (+.f64 #s(literal 64009/1000000 binary64) (.f64 (.f64 x x) #s(literal -9/625 binary64)))))
(* (pow x 4) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))
(.f64 x (.f64 x (+.f64 #s(literal 64009/1000000 binary64) (.f64 (.f64 x x) #s(literal -9/625 binary64)))))
(* -9/625 (pow x 4))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -9/625 binary64))))
(* (pow x 4) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))
(.f64 x (.f64 x (+.f64 #s(literal 64009/1000000 binary64) (.f64 (.f64 x x) #s(literal -9/625 binary64)))))
(* (pow x 4) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))
(.f64 x (.f64 x (+.f64 #s(literal 64009/1000000 binary64) (.f64 (.f64 x x) #s(literal -9/625 binary64)))))
(* (pow x 4) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))
(.f64 x (.f64 x (+.f64 #s(literal 64009/1000000 binary64) (.f64 (.f64 x x) #s(literal -9/625 binary64)))))
1
#s(literal 1 binary64)
(+ 1 (* -3/25 (pow x 2)))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -3/25 binary64))))
(+ 1 (* -3/25 (pow x 2)))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -3/25 binary64))))
(+ 1 (* -3/25 (pow x 2)))
(+.f64 #s(literal 1 binary64) (.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) (- (/ 1 (pow x 2)) 3/25))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -3/25 binary64))))
(* (pow x 2) (- (/ 1 (pow x 2)) 3/25))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -3/25 binary64))))
(* (pow x 2) (- (/ 1 (pow x 2)) 3/25))
(+.f64 #s(literal 1 binary64) (.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) (- (/ 1 (pow x 2)) 3/25))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -3/25 binary64))))
(* (pow x 2) (- (/ 1 (pow x 2)) 3/25))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -3/25 binary64))))
(* (pow x 2) (- (/ 1 (pow x 2)) 3/25))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -3/25 binary64))))
x
x
x
x
x
x
x
x
x
x
x
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 x #s(literal -3/25 binary64)))))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(+.f64 #s(literal 1 binary64) (.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)))
(* -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 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 x #s(literal -3/25 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 #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 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 x #s(literal -3/25 binary64)))))

eval179.0ms (2.3%)

Compiler: Compiled 28934 to 1850 computations (93.6% saved)

prune134.0ms (1.7%)

Pruning

12 alts after pruning (8 fresh and 4 done)

	Pruned	Kept	Total
New	1074	5	1079
Fresh	0	3	3
Picked	2	3	5
Done	0	1	1
Total	1076	12	1088

Accuracy

100.0%

Counts

1088 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	46.1%	(-.f64 (.f64 x (.f64 x #s(literal -3/25 binary64))) (*.f64 x #s(literal 253/1000 binary64)))
▶	99.9%	(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x #s(literal 3/25 binary64)) #s(literal 253/1000 binary64)) (/.f64 #s(literal 1 binary64) x)))
	98.2%	(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 25/3 binary64) (/.f64 #s(literal -1265/72 binary64) x)) (*.f64 x x))))
	97.3%	(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 25/3 binary64) (*.f64 x x))))
▶	99.8%	(-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 64009/1000000 binary64) (.f64 (.f64 x x) #s(literal -9/625 binary64))) (/.f64 x (-.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))))
✓	99.9%	(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))
✓	56.4%	(-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 253/1000 binary64)))
✓	97.4%	(-.f64 #s(literal 1 binary64) (.f64 #s(literal 3/25 binary64) (.f64 x x)))
▶	46.1%	(.f64 x (+.f64 #s(literal -253/1000 binary64) (.f64 x #s(literal -3/25 binary64))))
	44.7%	(.f64 x (.f64 x #s(literal -3/25 binary64)))
▶	3.7%	(*.f64 x #s(literal -253/1000 binary64))
✓	54.6%	#s(literal 1 binary64)

Compiler

Compiled 190 to 141 computations (25.8% saved)

localize553.0ms (7%)

Algorithm

1×	egg-herbie

Localize:

Found 35 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 #s(literal 64009/1000000 binary64) (.f64 (.f64 x x) #s(literal -9/625 binary64)))
✓	cost-diff	0	(.f64 (+.f64 #s(literal 64009/1000000 binary64) (.f64 (.f64 x x) #s(literal -9/625 binary64))) (/.f64 x (-.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))
✓	cost-diff	0	#s(literal 1 binary64)
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 64009/1000000 binary64) (.f64 (.f64 x x) #s(literal -9/625 binary64))) (/.f64 x (-.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))))
✓	cost-diff	0	(*.f64 x #s(literal -3/25 binary64))
✓	cost-diff	0	x
✓	cost-diff	0	(.f64 x (.f64 x #s(literal -3/25 binary64)))
✓	cost-diff	128	(-.f64 (.f64 x (.f64 x #s(literal -3/25 binary64))) (*.f64 x #s(literal 253/1000 binary64)))
✓	cost-diff	0	#s(literal -253/1000 binary64)
✓	cost-diff	0	(+.f64 #s(literal -253/1000 binary64) (*.f64 x #s(literal -3/25 binary64)))
✓	cost-diff	0	x
✓	cost-diff	0	(.f64 x (+.f64 #s(literal -253/1000 binary64) (.f64 x #s(literal -3/25 binary64))))
✓	cost-diff	0	#s(literal -253/1000 binary64)
✓	cost-diff	0	x
✓	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	#s(literal 1 binary64)
✓	cost-diff	128	(/.f64 (+.f64 (*.f64 x #s(literal 3/25 binary64)) #s(literal 253/1000 binary64)) (/.f64 #s(literal 1 binary64) x))
✓	cost-diff	128	(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x #s(literal 3/25 binary64)) #s(literal 253/1000 binary64)) (/.f64 #s(literal 1 binary64) x)))
✓	accuracy	99.8%	(/.f64 x (-.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))
✓	accuracy	99.6%	(*.f64 x #s(literal 3/25 binary64))
✓	accuracy	99.5%	(.f64 (+.f64 #s(literal 64009/1000000 binary64) (.f64 (.f64 x x) #s(literal -9/625 binary64))) (/.f64 x (-.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))
✓	accuracy	99.4%	(.f64 (.f64 x x) #s(literal -9/625 binary64))
✓	accuracy	100.0%	(-.f64 (.f64 x (.f64 x #s(literal -3/25 binary64))) (*.f64 x #s(literal 253/1000 binary64)))
✓	accuracy	99.9%	(*.f64 x #s(literal 253/1000 binary64))
✓	accuracy	99.8%	(.f64 x (.f64 x #s(literal -3/25 binary64)))
✓	accuracy	99.6%	(*.f64 x #s(literal -3/25 binary64))
✓	accuracy	100.0%	(+.f64 #s(literal -253/1000 binary64) (*.f64 x #s(literal -3/25 binary64)))
✓	accuracy	99.8%	(.f64 x (+.f64 #s(literal -253/1000 binary64) (.f64 x #s(literal -3/25 binary64))))
✓	accuracy	99.6%	(*.f64 x #s(literal -3/25 binary64))
✓	accuracy	99.9%	(*.f64 x #s(literal -253/1000 binary64))
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x #s(literal 3/25 binary64)) #s(literal 253/1000 binary64)) (/.f64 #s(literal 1 binary64) x)))
✓	accuracy	100.0%	(+.f64 (*.f64 x #s(literal 3/25 binary64)) #s(literal 253/1000 binary64))
✓	accuracy	99.6%	(/.f64 (+.f64 (*.f64 x #s(literal 3/25 binary64)) #s(literal 253/1000 binary64)) (/.f64 #s(literal 1 binary64) x))
✓	accuracy	99.6%	(*.f64 x #s(literal 3/25 binary64))

Rules

4192×	`accelerator-lowering-fma.f32`
4192×	`accelerator-lowering-fma.f64`
1960×	`-lowering-.f32`
1960×	`-lowering-.f64`
1474×	`associate-*r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	131
1	67	127
2	132	127
3	344	127
4	874	127
5	1536	127
6	3190	127
7	3652	127
8	3835	127
9	4064	127
10	4180	127
11	4393	127
12	4951	127
13	5369	127
14	5529	127
15	5607	127
16	5619	127
17	5619	127
18	5619	127
19	5619	127
20	6046	127
21	7591	127
0	8065	112

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

Results

127.0ms	254×	0	valid
3.0ms	2×	5	exit

Compiler

Compiled 151 to 28 computations (81.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 96.0ms

ival-mult: 78.0ms (81.2% of total)

ival-sub: 7.0ms (7.3% of total)

ival-div: 6.0ms (6.2% of total)

ival-add: 4.0ms (4.2% of total)

const: 1.0ms (1% of total)

backward-pass: 1.0ms (1% of total)

series100.0ms (1.3%)

Counts

19 → 204

Calls

Call 1

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

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

Calls

51 calls:

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

rewrite462.0ms (5.8%)

Algorithm

1×	batch-egg-rewrite

Rules

4828×	`-lowering-.f32`
4828×	`-lowering-.f64`
4490×	`/-lowering-/.f32`
4490×	`/-lowering-/.f64`
3974×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	115
1	172	111
2	1450	111
0	8155	98

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 616

Calls

Call 1

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

Outputs
(*.f64 x #s(literal 3/25 binary64))
(*.f64 #s(literal 3/25 binary64) x)
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 (*.f64 x #s(literal 3/25 binary64)) #s(literal 253/1000 binary64))))) #s(literal -1 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))) (/.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 #s(literal 64009/1000000 binary64) (+.f64 (.f64 x #s(literal 3/25 binary64)) #s(literal -253/1000 binary64))) (/.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 (*.f64 x #s(literal -3/25 binary64)) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 253/1000 binary64) (/.f64 #s(literal -1 binary64) x)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) x)) (.f64 x (+.f64 #s(literal -253/1000 binary64) (.f64 x #s(literal -3/25 binary64)))))
(-.f64 (/.f64 (/.f64 #s(literal 64009/1000000 binary64) (+.f64 #s(literal -253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))) (/.f64 #s(literal -1 binary64) x)) (/.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 -1 binary64) x)))
(-.f64 (/.f64 (.f64 (.f64 x x) #s(literal 9/625 binary64)) (.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (.f64 x #s(literal 3/25 binary64)) #s(literal -253/1000 binary64)))) (/.f64 #s(literal 64009/1000000 binary64) (.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (.f64 x #s(literal 3/25 binary64)) #s(literal -253/1000 binary64)))))
(neg.f64 (.f64 x (+.f64 #s(literal -253/1000 binary64) (.f64 x #s(literal -3/25 binary64)))))
(/.f64 (+.f64 (*.f64 x #s(literal 3/25 binary64)) #s(literal 253/1000 binary64)) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x #s(literal 3/25 binary64)) #s(literal 253/1000 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 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) (neg.f64 (neg.f64 (/.f64 #s(literal 1 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 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 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 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x #s(literal 3/25 binary64)) #s(literal 253/1000 binary64)))) #s(literal 1 binary64))))
(/.f64 (+.f64 #s(literal -253/1000 binary64) (*.f64 x #s(literal -3/25 binary64))) (/.f64 #s(literal -1 binary64) x))
(/.f64 (+.f64 #s(literal 16194277/1000000000 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 27/15625 binary64))) (.f64 (/.f64 #s(literal 1 binary64) x) (+.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 x (+.f64 #s(literal -253/1000 binary64) (.f64 x #s(literal -3/25 binary64)))) #s(literal -1 binary64))
(/.f64 (+.f64 (.f64 (.f64 x x) #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (.f64 x #s(literal 3/25 binary64)) #s(literal -253/1000 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) x))
(/.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal -253/1000 binary64) (.f64 x #s(literal -3/25 binary64)))) (/.f64 #s(literal -1 binary64) x))
(/.f64 (.f64 (+.f64 #s(literal 16194277/1000000000 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 27/15625 binary64))) #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 #s(literal 1 binary64) x)))
(/.f64 (.f64 (+.f64 (.f64 (.f64 x x) #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (*.f64 x #s(literal 3/25 binary64)) #s(literal -253/1000 binary64)) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (+.f64 #s(literal -253/1000 binary64) (*.f64 x #s(literal -3/25 binary64)))) (/.f64 #s(literal 1 binary64) x))
(/.f64 (neg.f64 (+.f64 #s(literal 16194277/1000000000 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 27/15625 binary64)))) (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (+.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 x) #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64))) (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (.f64 x #s(literal 3/25 binary64)) #s(literal -253/1000 binary64)))))
(/.f64 (.f64 (+.f64 #s(literal 16194277/1000000000 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 27/15625 binary64))) x) (+.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 (.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 (neg.f64 (.f64 #s(literal 1 binary64) (+.f64 (.f64 x #s(literal 3/25 binary64)) #s(literal 253/1000 binary64)))) (/.f64 #s(literal -1 binary64) x))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal -253/1000 binary64) (.f64 x #s(literal -3/25 binary64))))) (/.f64 #s(literal 1 binary64) x))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal 16194277/1000000000 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 27/15625 binary64))) #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 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 (.f64 (+.f64 (.f64 (.f64 x x) #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) #s(literal 1 binary64))) (neg.f64 (.f64 (+.f64 (*.f64 x #s(literal 3/25 binary64)) #s(literal -253/1000 binary64)) (/.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal -253/1000 binary64) (*.f64 x #s(literal -3/25 binary64))))) (/.f64 #s(literal -1 binary64) x))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal 16194277/1000000000 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 27/15625 binary64))) x)) (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 (.f64 x x) #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) x)) (neg.f64 (+.f64 (.f64 x #s(literal 3/25 binary64)) #s(literal -253/1000 binary64))))
(pow.f64 (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x #s(literal 3/25 binary64)) #s(literal 253/1000 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x #s(literal 3/25 binary64)) #s(literal 253/1000 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(.f64 x (+.f64 (.f64 x #s(literal 3/25 binary64)) #s(literal 253/1000 binary64)))
(.f64 (+.f64 (.f64 x #s(literal 3/25 binary64)) #s(literal 253/1000 binary64)) x)
(.f64 #s(literal 1 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 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -253/1000 binary64) (*.f64 x #s(literal -3/25 binary64)))))
(.f64 (+.f64 #s(literal -253/1000 binary64) (.f64 x #s(literal -3/25 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))
(.f64 (.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 3/25 binary64)) #s(literal 253/1000 binary64))) x)
(.f64 (/.f64 (+.f64 (.f64 x #s(literal 3/25 binary64)) #s(literal 253/1000 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x))
(.f64 (/.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) x)))
(.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) 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 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 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (.f64 (.f64 x x) #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x #s(literal 3/25 binary64)) #s(literal -253/1000 binary64))))
(.f64 (/.f64 (+.f64 (.f64 x #s(literal 3/25 binary64)) #s(literal 253/1000 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (+.f64 (.f64 x #s(literal 3/25 binary64)) #s(literal 253/1000 binary64)) (pow.f64 x #s(literal -1/2 binary64))))
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(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 x (+.f64 (.f64 x (.f64 x #s(literal -9/625 binary64))) #s(literal 64009/1000000 binary64))) (+.f64 #s(literal -253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))) (/.f64 (+.f64 (.f64 x (.f64 x #s(literal -9/625 binary64))) #s(literal 64009/1000000 binary64)) (/.f64 (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal -3/25 binary64))) x)))))) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x (.f64 x #s(literal -9/625 binary64))) #s(literal 64009/1000000 binary64)) (/.f64 (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal -3/25 binary64))) x))))))
(/.f64 (+.f64 (.f64 (/.f64 (.f64 (/.f64 (+.f64 (.f64 x (.f64 x #s(literal -9/625 binary64))) #s(literal 64009/1000000 binary64)) (/.f64 (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal -3/25 binary64))) x)) (.f64 x (+.f64 (.f64 x (.f64 x #s(literal -9/625 binary64))) #s(literal 64009/1000000 binary64)))) (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal -3/25 binary64)))) (/.f64 (.f64 x (+.f64 (.f64 x (.f64 x #s(literal -9/625 binary64))) #s(literal 64009/1000000 binary64))) (+.f64 #s(literal -253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))) #s(literal 1 binary64)) (+.f64 (/.f64 (.f64 (/.f64 (+.f64 (.f64 x (.f64 x #s(literal -9/625 binary64))) #s(literal 64009/1000000 binary64)) (/.f64 (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal -3/25 binary64))) x)) (.f64 x (+.f64 (.f64 x (.f64 x #s(literal -9/625 binary64))) #s(literal 64009/1000000 binary64)))) (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal -3/25 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 x (+.f64 (.f64 x (.f64 x #s(literal -9/625 binary64))) #s(literal 64009/1000000 binary64))) (+.f64 #s(literal -253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))) #s(literal 1 binary64)))))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (+.f64 (.f64 x (.f64 x #s(literal -9/625 binary64))) #s(literal 64009/1000000 binary64)) (/.f64 (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal -3/25 binary64))) x)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x (.f64 x #s(literal -9/625 binary64))) #s(literal 64009/1000000 binary64)) (/.f64 (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal -3/25 binary64))) x))))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (/.f64 (+.f64 (.f64 x (.f64 x #s(literal -9/625 binary64))) #s(literal 64009/1000000 binary64)) (/.f64 (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal -3/25 binary64))) x)) (.f64 x (+.f64 (.f64 x (.f64 x #s(literal -9/625 binary64))) #s(literal 64009/1000000 binary64)))) (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal -3/25 binary64)))) (/.f64 (.f64 x (+.f64 (.f64 x (.f64 x #s(literal -9/625 binary64))) #s(literal 64009/1000000 binary64))) (+.f64 #s(literal -253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x (.f64 x #s(literal -9/625 binary64))) #s(literal 64009/1000000 binary64)) (/.f64 (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal -3/25 binary64))) x))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 x (+.f64 (.f64 x (.f64 x #s(literal -9/625 binary64))) #s(literal 64009/1000000 binary64))) (+.f64 #s(literal -253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))) (/.f64 (+.f64 (.f64 x (.f64 x #s(literal -9/625 binary64))) #s(literal 64009/1000000 binary64)) (/.f64 (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal -3/25 binary64))) x))))) #s(literal -1 binary64))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 x (+.f64 (.f64 x (.f64 x #s(literal -9/625 binary64))) #s(literal 64009/1000000 binary64))) (+.f64 #s(literal -253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))) (/.f64 (+.f64 (.f64 x (.f64 x #s(literal -9/625 binary64))) #s(literal 64009/1000000 binary64)) (/.f64 (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal -3/25 binary64))) x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x (.f64 x #s(literal -9/625 binary64))) #s(literal 64009/1000000 binary64)) (/.f64 (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal -3/25 binary64))) x)))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (/.f64 (+.f64 (.f64 x (.f64 x #s(literal -9/625 binary64))) #s(literal 64009/1000000 binary64)) (/.f64 (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal -3/25 binary64))) x)) (.f64 x (+.f64 (.f64 x (.f64 x #s(literal -9/625 binary64))) #s(literal 64009/1000000 binary64)))) (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal -3/25 binary64)))) (/.f64 (.f64 x (+.f64 (.f64 x (.f64 x #s(literal -9/625 binary64))) #s(literal 64009/1000000 binary64))) (+.f64 #s(literal -253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (+.f64 (.f64 x (.f64 x #s(literal -9/625 binary64))) #s(literal 64009/1000000 binary64)) (/.f64 (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal -3/25 binary64))) x)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x (.f64 x #s(literal -9/625 binary64))) #s(literal 64009/1000000 binary64)) (/.f64 (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal -3/25 binary64))) x)))))))
(+.f64 (.f64 x (.f64 x #s(literal -9/625 binary64))) #s(literal 64009/1000000 binary64))
(+.f64 #s(literal 64009/1000000 binary64) (.f64 x (.f64 x #s(literal -9/625 binary64))))
(-.f64 (/.f64 #s(literal 4097152081/1000000000000 binary64) (+.f64 #s(literal 64009/1000000 binary64) (.f64 (.f64 x x) #s(literal 9/625 binary64)))) (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 81/390625 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)) (-.f64 (.f64 x (.f64 x #s(literal -9/625 binary64))) #s(literal 64009/1000000 binary64))) (/.f64 #s(literal 4097152081/1000000000000 binary64) (-.f64 (.f64 x (.f64 x #s(literal -9/625 binary64))) #s(literal 64009/1000000 binary64))))
(fma.f64 x (*.f64 x #s(literal -9/625 binary64)) #s(literal 64009/1000000 binary64))
(fma.f64 (*.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64))
(fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64))
(fma.f64 (*.f64 x #s(literal -9/625 binary64)) x #s(literal 64009/1000000 binary64))
(/.f64 #s(literal 1 binary64) (/.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)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 64009/1000000 binary64) (.f64 (.f64 x x) #s(literal 9/625 binary64))) (-.f64 #s(literal 4097152081/1000000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 81/390625 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.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))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 64009/1000000 binary64) (.f64 (.f64 x x) #s(literal 9/625 binary64))) (-.f64 #s(literal 4097152081/1000000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 81/390625 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 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 262254607552729/1000000000000000000 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -729/244140625 binary64))) (+.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 81/390625 binary64)) (-.f64 #s(literal 4097152081/1000000000000 binary64) (.f64 #s(literal -576081/625000000 binary64) (.f64 x x)))))
(/.f64 (-.f64 #s(literal 4097152081/1000000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 81/390625 binary64))) (+.f64 #s(literal 64009/1000000 binary64) (.f64 (.f64 x x) #s(literal 9/625 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 262254607552729/1000000000000000000 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -729/244140625 binary64)))) (neg.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 (neg.f64 (+.f64 #s(literal 262254607552729/1000000000000000000 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -729/244140625 binary64)))) (neg.f64 (+.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 81/390625 binary64)) (-.f64 #s(literal 4097152081/1000000000000 binary64) (.f64 #s(literal -576081/625000000 binary64) (.f64 x x))))))
(/.f64 (neg.f64 (-.f64 #s(literal 4097152081/1000000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 81/390625 binary64)))) (neg.f64 (+.f64 #s(literal 64009/1000000 binary64) (.f64 (.f64 x x) #s(literal 9/625 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 81/390625 binary64)) #s(literal 4097152081/1000000000000 binary64)) (-.f64 (.f64 x (.f64 x #s(literal -9/625 binary64))) #s(literal 64009/1000000 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 4097152081/1000000000000 binary64) (+.f64 #s(literal 64009/1000000 binary64) (.f64 (.f64 x x) #s(literal 9/625 binary64)))) (.f64 (+.f64 #s(literal 64009/1000000 binary64) (.f64 (.f64 x x) #s(literal 9/625 binary64))) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 81/390625 binary64)))) (.f64 (+.f64 #s(literal 64009/1000000 binary64) (.f64 (.f64 x x) #s(literal 9/625 binary64))) (+.f64 #s(literal 64009/1000000 binary64) (.f64 (*.f64 x x) #s(literal 9/625 binary64)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 262254607552729/1000000000000000000 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -729/244140625 binary64))))) (neg.f64 (neg.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 (neg.f64 (neg.f64 (-.f64 #s(literal 4097152081/1000000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 81/390625 binary64))))) (neg.f64 (neg.f64 (+.f64 #s(literal 64009/1000000 binary64) (.f64 (.f64 x x) #s(literal 9/625 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 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 (.f64 x x) #s(literal 9/625 binary64))) (-.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 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 (.f64 (.f64 x x) (.f64 x x)) #s(literal 81/390625 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 64009/1000000 binary64) (.f64 (*.f64 x x) #s(literal 9/625 binary64)))))

simplify406.0ms (5.1%)

Algorithm

1×	egg-herbie

Rules

6426×	`accelerator-lowering-fma.f32`
6426×	`accelerator-lowering-fma.f64`
2720×	`-lowering-.f32`
2720×	`-lowering-.f64`
2388×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	88	1094
1	245	1092
2	571	1022
3	1143	1022
4	2151	1018
5	4988	1018
0	8394	919

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 204

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

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

eval170.0ms (2.1%)

Compiler: Compiled 23814 to 2346 computations (90.1% saved)

prune212.0ms (2.7%)

Pruning

11 alts after pruning (4 fresh and 7 done)

	Pruned	Kept	Total
New	1228	2	1230
Fresh	1	2	3
Picked	2	3	5
Done	0	4	4
Total	1231	11	1242

Accuracy

100.0%

Counts

1242 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	46.1%	(/.f64 (+.f64 (*.f64 x #s(literal 3/25 binary64)) #s(literal 253/1000 binary64)) (/.f64 #s(literal -1 binary64) x))
✓	46.1%	(-.f64 (.f64 x (.f64 x #s(literal -3/25 binary64))) (*.f64 x #s(literal 253/1000 binary64)))
▶	98.2%	(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 25/3 binary64) (/.f64 #s(literal -1265/72 binary64) x)) (*.f64 x x))))
▶	54.3%	(-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 64009/1000000 binary64) (.f64 (*.f64 x x) #s(literal -9/625 binary64))) #s(literal -25/3 binary64)))
✓	99.9%	(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))
✓	56.4%	(-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 253/1000 binary64)))
✓	97.4%	(-.f64 #s(literal 1 binary64) (.f64 #s(literal 3/25 binary64) (.f64 x x)))
✓	46.1%	(.f64 x (+.f64 #s(literal -253/1000 binary64) (.f64 x #s(literal -3/25 binary64))))
▶	44.7%	(.f64 x (.f64 x #s(literal -3/25 binary64)))
✓	3.7%	(*.f64 x #s(literal -253/1000 binary64))
✓	54.6%	#s(literal 1 binary64)

Compiler

Compiled 90 to 69 computations (23.3% saved)

localize280.0ms (3.5%)

Algorithm

1×	egg-herbie

Localize:

Found 30 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	x
✓	cost-diff	0	(*.f64 x #s(literal 3/25 binary64))
✓	cost-diff	0	(+.f64 (*.f64 x #s(literal 3/25 binary64)) #s(literal 253/1000 binary64))
✓	cost-diff	128	(/.f64 (+.f64 (*.f64 x #s(literal 3/25 binary64)) #s(literal 253/1000 binary64)) (/.f64 #s(literal -1 binary64) x))
✓	cost-diff	0	(/.f64 (+.f64 #s(literal 25/3 binary64) (/.f64 #s(literal -1265/72 binary64) x)) (*.f64 x x))
✓	cost-diff	0	#s(literal 1 binary64)
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 25/3 binary64) (/.f64 #s(literal -1265/72 binary64) x)) (*.f64 x x)))
✓	cost-diff	128	(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 25/3 binary64) (/.f64 #s(literal -1265/72 binary64) x)) (*.f64 x x))))
✓	cost-diff	0	(+.f64 #s(literal 64009/1000000 binary64) (.f64 (.f64 x x) #s(literal -9/625 binary64)))
✓	cost-diff	0	#s(literal 1 binary64)
✓	cost-diff	128	(.f64 (+.f64 #s(literal 64009/1000000 binary64) (.f64 (*.f64 x x) #s(literal -9/625 binary64))) #s(literal -25/3 binary64))
✓	cost-diff	256	(-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 64009/1000000 binary64) (.f64 (*.f64 x x) #s(literal -9/625 binary64))) #s(literal -25/3 binary64)))
✓	cost-diff	0	#s(literal -3/25 binary64)
✓	cost-diff	0	(*.f64 x #s(literal -3/25 binary64))
✓	cost-diff	0	x
✓	cost-diff	0	(.f64 x (.f64 x #s(literal -3/25 binary64)))
✓	accuracy	100.0%	(/.f64 #s(literal -1 binary64) x)
✓	accuracy	100.0%	(+.f64 (*.f64 x #s(literal 3/25 binary64)) #s(literal 253/1000 binary64))
✓	accuracy	99.6%	(/.f64 (+.f64 (*.f64 x #s(literal 3/25 binary64)) #s(literal 253/1000 binary64)) (/.f64 #s(literal -1 binary64) x))
✓	accuracy	99.6%	(*.f64 x #s(literal 3/25 binary64))
✓	accuracy	100.0%	(+.f64 #s(literal 25/3 binary64) (/.f64 #s(literal -1265/72 binary64) x))
✓	accuracy	99.1%	(/.f64 #s(literal -1265/72 binary64) x)
✓	accuracy	98.9%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 25/3 binary64) (/.f64 #s(literal -1265/72 binary64) x)) (*.f64 x x)))
✓	accuracy	98.8%	(/.f64 (+.f64 #s(literal 25/3 binary64) (/.f64 #s(literal -1265/72 binary64) x)) (*.f64 x x))
✓	accuracy	100.0%	(+.f64 #s(literal 64009/1000000 binary64) (.f64 (.f64 x x) #s(literal -9/625 binary64)))
✓	accuracy	99.8%	(.f64 (+.f64 #s(literal 64009/1000000 binary64) (.f64 (*.f64 x x) #s(literal -9/625 binary64))) #s(literal -25/3 binary64))
✓	accuracy	99.4%	(.f64 (.f64 x x) #s(literal -9/625 binary64))
✓	accuracy	99.2%	(-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 64009/1000000 binary64) (.f64 (*.f64 x x) #s(literal -9/625 binary64))) #s(literal -25/3 binary64)))
✓	accuracy	99.8%	(.f64 x (.f64 x #s(literal -3/25 binary64)))
✓	accuracy	99.6%	(*.f64 x #s(literal -3/25 binary64))

Rules

1904×	`accelerator-lowering-fma.f32`
1904×	`accelerator-lowering-fma.f64`
1056×	`-lowering-.f32`
1056×	`-lowering-.f64`
560×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	115
1	53	115
2	103	105
3	268	105
4	582	104
5	829	104
6	1056	103
7	1357	103
8	1576	103
9	2262	103
10	2816	103
11	2908	103
12	2987	103
13	3012	103
14	3038	103
15	3046	103
0	3046	97

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(* x (* x -3/25))
x
(* x -3/25)
-3/25
(- 1 (* (+ 64009/1000000 (* (* x x) -9/625)) -25/3))
1
(* (+ 64009/1000000 (* (* x x) -9/625)) -25/3)
(+ 64009/1000000 (* (* x x) -9/625))
64009/1000000
(* (* x x) -9/625)
(* x x)
-9/625
-25/3
(- 1 (/ 1 (/ (+ 25/3 (/ -1265/72 x)) (* x x))))
(/ 1 (/ (+ 25/3 (/ -1265/72 x)) (* x x)))
(/ (+ 25/3 (/ -1265/72 x)) (* x x))
(+ 25/3 (/ -1265/72 x))
25/3
(/ -1265/72 x)
-1265/72
(/ (+ (* x 3/25) 253/1000) (/ -1 x))
(+ (* x 3/25) 253/1000)
(* x 3/25)
3/25
253/1000
(/ -1 x)
-1

Outputs
(* x (* x -3/25))
(.f64 #s(literal -3/25 binary64) (.f64 x x))
x
(* x -3/25)
(*.f64 x #s(literal -3/25 binary64))
-3/25
#s(literal -3/25 binary64)
(- 1 (* (+ 64009/1000000 (* (* x x) -9/625)) -25/3))
(+.f64 (.f64 #s(literal -3/25 binary64) (.f64 x x)) #s(literal 184009/120000 binary64))
1
#s(literal 1 binary64)
(* (+ 64009/1000000 (* (* x x) -9/625)) -25/3)
(+.f64 #s(literal -64009/120000 binary64) (.f64 (.f64 x x) #s(literal 3/25 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))
(* x x)
(*.f64 x x)
-9/625
#s(literal -9/625 binary64)
-25/3
#s(literal -25/3 binary64)
(- 1 (/ 1 (/ (+ 25/3 (/ -1265/72 x)) (* x x))))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (+.f64 #s(literal -25/3 binary64) (/.f64 #s(literal 1265/72 binary64) x))))
(/ 1 (/ (+ 25/3 (/ -1265/72 x)) (* x x)))
(/.f64 x (/.f64 (+.f64 #s(literal 25/3 binary64) (/.f64 #s(literal -1265/72 binary64) x)) x))
(/ (+ 25/3 (/ -1265/72 x)) (* x x))
(/.f64 (+.f64 #s(literal 25/3 binary64) (/.f64 #s(literal -1265/72 binary64) x)) (*.f64 x x))
(+ 25/3 (/ -1265/72 x))
(+.f64 #s(literal 25/3 binary64) (/.f64 #s(literal -1265/72 binary64) x))
25/3
#s(literal 25/3 binary64)
(/ -1265/72 x)
(/.f64 #s(literal -1265/72 binary64) x)
-1265/72
#s(literal -1265/72 binary64)
(/ (+ (* x 3/25) 253/1000) (/ -1 x))
(.f64 x (+.f64 (.f64 x #s(literal -3/25 binary64)) #s(literal -253/1000 binary64)))
(+ (* x 3/25) 253/1000)
(+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 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)
(/.f64 #s(literal -1 binary64) x)
-1
#s(literal -1 binary64)

Results

60.0ms	255×	0	valid
1.0ms	1×	5	exit

Compiler

Compiled 124 to 28 computations (77.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 33.0ms

ival-mult: 14.0ms (42.9% of total)

ival-div: 10.0ms (30.7% of total)

ival-add: 4.0ms (12.3% of total)

ival-sub: 3.0ms (9.2% of total)

const: 1.0ms (3.1% of total)

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

series28.0ms (0.4%)

Counts

18 → 192

Calls

Call 1

Inputs
#<alt (* x -3/25)>
#<alt (* x (* x -3/25))>
#<alt (- 1 (* (+ 64009/1000000 (* (* x x) -9/625)) -25/3))>
#<alt (* (* x x) -9/625)>
#<alt (* (+ 64009/1000000 (* (* x x) -9/625)) -25/3)>
#<alt (+ 64009/1000000 (* (* x x) -9/625))>
#<alt (/ (+ 25/3 (/ -1265/72 x)) (* x x))>
#<alt (/ 1 (/ (+ 25/3 (/ -1265/72 x)) (* x x)))>
#<alt (/ -1265/72 x)>
#<alt (+ 25/3 (/ -1265/72 x))>
#<alt (* x 3/25)>
#<alt (/ (+ (* x 3/25) 253/1000) (/ -1 x))>
#<alt (+ (* x 3/25) 253/1000)>
#<alt (/ -1 x)>
#<alt x>
#<alt -3/25>
#<alt 1>
#<alt (- 1 (/ 1 (/ (+ 25/3 (/ -1265/72 x)) (* x x))))>

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 (* -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 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 -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 (+ 64009/1000000 (* -9/625 (pow x 2)))>
#<alt (+ 64009/1000000 (* -9/625 (pow x 2)))>
#<alt (+ 64009/1000000 (* -9/625 (pow x 2)))>
#<alt (* -9/625 (pow x 2))>
#<alt (* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))>
#<alt (* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))>
#<alt (* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))>
#<alt (* -9/625 (pow x 2))>
#<alt (* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))>
#<alt (* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))>
#<alt (* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))>
#<alt (/ -1265/72 (pow x 3))>
#<alt (/ (- (* 25/3 x) 1265/72) (pow x 3))>
#<alt (/ (- (* 25/3 x) 1265/72) (pow x 3))>
#<alt (/ (- (* 25/3 x) 1265/72) (pow x 3))>
#<alt (/ 25/3 (pow x 2))>
#<alt (/ (- 25/3 (* 1265/72 (/ 1 x))) (pow x 2))>
#<alt (/ (- 25/3 (* 1265/72 (/ 1 x))) (pow x 2))>
#<alt (/ (- 25/3 (* 1265/72 (/ 1 x))) (pow x 2))>
#<alt (/ 25/3 (pow x 2))>
#<alt (/ (- 25/3 (* 1265/72 (/ 1 x))) (pow x 2))>
#<alt (/ (- 25/3 (* 1265/72 (/ 1 x))) (pow x 2))>
#<alt (/ (- 25/3 (* 1265/72 (/ 1 x))) (pow x 2))>
#<alt (* -72/1265 (pow x 3))>
#<alt (* (pow x 3) (- (* -1728/64009 x) 72/1265))>
#<alt (* (pow x 3) (- (* x (- (* -207360/16194277 x) 1728/64009)) 72/1265))>
#<alt (* (pow x 3) (- (* x (- (* x (- (* -24883200/4097152081 x) 207360/16194277)) 1728/64009)) 72/1265))>
#<alt (* 3/25 (pow x 2))>
#<alt (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))>
#<alt (* (pow x 2) (+ 3/25 (+ (/ 64009/120000 (pow x 2)) (* 253/1000 (/ 1 x)))))>
#<alt (* (pow x 2) (+ 3/25 (+ (/ 64009/120000 (pow x 2)) (+ (* 253/1000 (/ 1 x)) (* 16194277/14400000 (/ 1 (pow x 3)))))))>
#<alt (* 3/25 (pow x 2))>
#<alt (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))>
#<alt (* (pow x 2) (+ 3/25 (+ (/ 64009/120000 (pow x 2)) (* 253/1000 (/ 1 x)))))>
#<alt (* (pow x 2) (+ 3/25 (* -1 (/ (- (* -1 (/ (+ 64009/120000 (* 16194277/14400000 (/ 1 x))) x)) 253/1000) x))))>
#<alt (/ -1265/72 x)>
#<alt (/ -1265/72 x)>
#<alt (/ -1265/72 x)>
#<alt (/ -1265/72 x)>
#<alt (/ -1265/72 x)>
#<alt (/ -1265/72 x)>
#<alt (/ -1265/72 x)>
#<alt (/ -1265/72 x)>
#<alt (/ -1265/72 x)>
#<alt (/ -1265/72 x)>
#<alt (/ -1265/72 x)>
#<alt (/ -1265/72 x)>
#<alt (/ -1265/72 x)>
#<alt (/ (- (* 25/3 x) 1265/72) x)>
#<alt (/ (- (* 25/3 x) 1265/72) x)>
#<alt (/ (- (* 25/3 x) 1265/72) x)>
#<alt 25/3>
#<alt (- 25/3 (* 1265/72 (/ 1 x)))>
#<alt (- 25/3 (* 1265/72 (/ 1 x)))>
#<alt (- 25/3 (* 1265/72 (/ 1 x)))>
#<alt 25/3>
#<alt (- 25/3 (* 1265/72 (/ 1 x)))>
#<alt (- 25/3 (* 1265/72 (/ 1 x)))>
#<alt (- 25/3 (* 1265/72 (/ 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 (* -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 (+ 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 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt 1>
#<alt (+ 1 (* 72/1265 (pow x 3)))>
#<alt (+ 1 (* (pow x 3) (+ 72/1265 (* 1728/64009 x))))>
#<alt (+ 1 (* (pow x 3) (+ 72/1265 (* x (+ 1728/64009 (* 207360/16194277 x))))))>
#<alt (* -3/25 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* (pow x 2) (- (/ 55991/120000 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* (pow x 2) (- (/ 55991/120000 (pow x 2)) (+ 3/25 (+ (* 253/1000 (/ 1 x)) (* 16194277/14400000 (/ 1 (pow x 3)))))))>
#<alt (* -3/25 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* (pow x 2) (- (* -1 (/ (- 253/1000 (* 55991/120000 (/ 1 x))) x)) 3/25))>
#<alt (* (pow x 2) (- (* -1 (/ (+ 253/1000 (* -1 (/ (- 55991/120000 (* 16194277/14400000 (/ 1 x))) x))) x)) 3/25))>

Calls

48 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(/ (+ (* x 3/25) 253/1000) (/ -1 x))
0.0ms	x	@	0	(/ (+ 25/3 (/ -1265/72 x)) (* x x))
0.0ms	x	@	0	(/ -1265/72 x)
0.0ms	x	@	inf	(/ (+ 25/3 (/ -1265/72 x)) (* x x))
0.0ms	x	@	-inf	(/ (+ 25/3 (/ -1265/72 x)) (* x x))

rewrite481.0ms (6.1%)

Algorithm

1×	batch-egg-rewrite

Rules

8898×	`accelerator-lowering-fma.f32`
8898×	`accelerator-lowering-fma.f64`
4934×	`-lowering-.f32`
4934×	`-lowering-.f64`
3606×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	104
1	153	99
2	1156	92
0	9025	88

Stop Event

1×	iter limit
1×	node limit

Counts

18 → 593

Calls

Call 1

Inputs
(* x -3/25)
(* x (* x -3/25))
(- 1 (* (+ 64009/1000000 (* (* x x) -9/625)) -25/3))
(* (* x x) -9/625)
(* (+ 64009/1000000 (* (* x x) -9/625)) -25/3)
(+ 64009/1000000 (* (* x x) -9/625))
(/ (+ 25/3 (/ -1265/72 x)) (* x x))
(/ 1 (/ (+ 25/3 (/ -1265/72 x)) (* x x)))
(/ -1265/72 x)
(+ 25/3 (/ -1265/72 x))
(* x 3/25)
(/ (+ (* x 3/25) 253/1000) (/ -1 x))
(+ (* x 3/25) 253/1000)
(/ -1 x)
x
-3/25
1
(- 1 (/ 1 (/ (+ 25/3 (/ -1265/72 x)) (* x x))))

Outputs
(-.f64 #s(literal 0 binary64) (*.f64 x #s(literal 3/25 binary64)))
(neg.f64 (*.f64 x #s(literal 3/25 binary64)))
(*.f64 x #s(literal -3/25 binary64))
(*.f64 #s(literal -3/25 binary64) x)
(*.f64 #s(literal 3/25 binary64) (-.f64 #s(literal 0 binary64) x))
(.f64 #s(literal -1 binary64) (.f64 x #s(literal 3/25 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 3/25 binary64))
(.f64 x (.f64 x #s(literal -3/25 binary64)))
(.f64 #s(literal -3/25 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal -3/25 binary64))
(.f64 (.f64 x #s(literal -3/25 binary64)) x)
(+.f64 #s(literal 1 binary64) (-.f64 #s(literal 64009/120000 binary64) (.f64 #s(literal 3/25 binary64) (.f64 x x))))
(+.f64 (-.f64 #s(literal 64009/120000 binary64) (.f64 #s(literal 3/25 binary64) (.f64 x x))) #s(literal 1 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal -64009/120000 binary64) (.f64 #s(literal 3/25 binary64) (.f64 x x))) (+.f64 (.f64 #s(literal 3/25 binary64) (.f64 x x)) #s(literal 55991/120000 binary64))))) (neg.f64 (/.f64 (.f64 (+.f64 #s(literal -64009/120000 binary64) (.f64 #s(literal 3/25 binary64) (.f64 x x))) (.f64 (+.f64 #s(literal -64009/120000 binary64) (.f64 #s(literal 3/25 binary64) (.f64 x x))) (+.f64 #s(literal -64009/120000 binary64) (.f64 #s(literal 3/25 binary64) (.f64 x x))))) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal -64009/120000 binary64) (.f64 #s(literal 3/25 binary64) (.f64 x x))) (+.f64 (.f64 #s(literal 3/25 binary64) (.f64 x x)) #s(literal 55991/120000 binary64)))))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 3/25 binary64) (.f64 x x)) #s(literal 55991/120000 binary64))) (neg.f64 (/.f64 (.f64 (+.f64 #s(literal -64009/120000 binary64) (.f64 #s(literal 3/25 binary64) (.f64 x x))) (+.f64 #s(literal -64009/120000 binary64) (.f64 #s(literal 3/25 binary64) (.f64 x x)))) (+.f64 (.f64 #s(literal 3/25 binary64) (*.f64 x x)) #s(literal 55991/120000 binary64)))))
(-.f64 #s(literal 1 binary64) (+.f64 #s(literal -64009/120000 binary64) (.f64 #s(literal 3/25 binary64) (.f64 x x))))
(-.f64 #s(literal 0 binary64) (-.f64 (+.f64 #s(literal -64009/120000 binary64) (.f64 #s(literal 3/25 binary64) (.f64 x x))) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal -64009/120000 binary64) (.f64 #s(literal 3/25 binary64) (.f64 x x))) (+.f64 (.f64 #s(literal 3/25 binary64) (.f64 x x)) #s(literal 55991/120000 binary64))))) (/.f64 (.f64 (+.f64 #s(literal -64009/120000 binary64) (.f64 #s(literal 3/25 binary64) (.f64 x x))) (.f64 (+.f64 #s(literal -64009/120000 binary64) (.f64 #s(literal 3/25 binary64) (.f64 x x))) (+.f64 #s(literal -64009/120000 binary64) (.f64 #s(literal 3/25 binary64) (.f64 x x))))) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal -64009/120000 binary64) (.f64 #s(literal 3/25 binary64) (.f64 x x))) (+.f64 (.f64 #s(literal 3/25 binary64) (.f64 x x)) #s(literal 55991/120000 binary64))))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 3/25 binary64) (.f64 x x)) #s(literal 55991/120000 binary64))) (/.f64 (.f64 (+.f64 #s(literal -64009/120000 binary64) (.f64 #s(literal 3/25 binary64) (.f64 x x))) (+.f64 #s(literal -64009/120000 binary64) (.f64 #s(literal 3/25 binary64) (.f64 x x)))) (+.f64 (.f64 #s(literal 3/25 binary64) (*.f64 x x)) #s(literal 55991/120000 binary64))))
(-.f64 #s(literal 184009/120000 binary64) (.f64 #s(literal 3/25 binary64) (.f64 x x)))
(-.f64 #s(literal 184009/120000 binary64) (.f64 (.f64 (*.f64 x x) #s(literal -9/625 binary64)) #s(literal -25/3 binary64)))
(-.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3/25 binary64) (.f64 x x))) #s(literal -64009/120000 binary64))
(-.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (*.f64 x x) #s(literal -9/625 binary64)) #s(literal -25/3 binary64))) #s(literal -64009/120000 binary64))
(fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 64009/120000 binary64) (.f64 #s(literal 3/25 binary64) (.f64 x x))) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal -64009/120000 binary64) (.f64 #s(literal 3/25 binary64) (.f64 x x))) (+.f64 (.f64 #s(literal 3/25 binary64) (.f64 x x)) #s(literal 55991/120000 binary64))))) (neg.f64 (/.f64 (.f64 (+.f64 #s(literal -64009/120000 binary64) (.f64 #s(literal 3/25 binary64) (.f64 x x))) (.f64 (+.f64 #s(literal -64009/120000 binary64) (.f64 #s(literal 3/25 binary64) (.f64 x x))) (+.f64 #s(literal -64009/120000 binary64) (.f64 #s(literal 3/25 binary64) (.f64 x x))))) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal -64009/120000 binary64) (.f64 #s(literal 3/25 binary64) (.f64 x x))) (+.f64 (.f64 #s(literal 3/25 binary64) (.f64 x x)) #s(literal 55991/120000 binary64)))))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 3/25 binary64) (.f64 x x)) #s(literal 55991/120000 binary64))) (neg.f64 (/.f64 (.f64 (+.f64 #s(literal -64009/120000 binary64) (.f64 #s(literal 3/25 binary64) (.f64 x x))) (+.f64 #s(literal -64009/120000 binary64) (.f64 #s(literal 3/25 binary64) (.f64 x x)))) (+.f64 (.f64 #s(literal 3/25 binary64) (*.f64 x x)) #s(literal 55991/120000 binary64)))))
(fma.f64 (+.f64 #s(literal 64009/1000000 binary64) (.f64 (.f64 x x) #s(literal -9/625 binary64))) #s(literal 25/3 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -25/3 binary64) (-.f64 #s(literal -64009/1000000 binary64) (.f64 (.f64 x x) #s(literal -9/625 binary64))) #s(literal 1 binary64))
(fma.f64 (+.f64 #s(literal -64009/120000 binary64) (.f64 #s(literal 3/25 binary64) (.f64 x x))) #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 25/3 binary64) (+.f64 #s(literal 64009/1000000 binary64) (.f64 (.f64 x x) #s(literal -9/625 binary64))) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (+.f64 #s(literal -64009/120000 binary64) (.f64 #s(literal 3/25 binary64) (.f64 x x))) #s(literal 1 binary64))
(fma.f64 (-.f64 #s(literal 64009/120000 binary64) (.f64 #s(literal 3/25 binary64) (.f64 x x))) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (-.f64 #s(literal -64009/1000000 binary64) (.f64 (.f64 x x) #s(literal -9/625 binary64))) #s(literal -25/3 binary64) #s(literal 1 binary64))
(fma.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal -64009/1000000 binary64) (.f64 (*.f64 x x) #s(literal -9/625 binary64)))) #s(literal -25/3 binary64) #s(literal 1 binary64))
(fma.f64 (.f64 #s(literal 25/3 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 1 binary64) (+.f64 #s(literal 4097152081/1000000000000 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (*.f64 x x) #s(literal 81/390625 binary64)) #s(literal -576081/625000000 binary64))))) #s(literal 1 binary64))
(fma.f64 (.f64 #s(literal 25/3 binary64) (+.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 64009/1000000 binary64) (.f64 (*.f64 x x) #s(literal -9/625 binary64)))) #s(literal 1 binary64))
(neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal -64009/120000 binary64) (.f64 #s(literal 3/25 binary64) (.f64 x x))) (.f64 (+.f64 #s(literal -64009/120000 binary64) (.f64 #s(literal 3/25 binary64) (.f64 x x))) (-.f64 #s(literal 64009/120000 binary64) (.f64 #s(literal 3/25 binary64) (.f64 x x)))))) (+.f64 #s(literal -1 binary64) (neg.f64 (.f64 (+.f64 #s(literal -64009/120000 binary64) (.f64 #s(literal 3/25 binary64) (.f64 x x))) (+.f64 (.f64 #s(literal 3/25 binary64) (*.f64 x x)) #s(literal 55991/120000 binary64)))))))
(neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal -64009/120000 binary64) (.f64 #s(literal 3/25 binary64) (.f64 x x))) (-.f64 #s(literal 64009/120000 binary64) (.f64 #s(literal 3/25 binary64) (.f64 x x))))) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 #s(literal 3/25 binary64) (*.f64 x x)) #s(literal 55991/120000 binary64)))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal -64009/120000 binary64) (.f64 #s(literal 3/25 binary64) (.f64 x x))) (.f64 (+.f64 #s(literal -64009/120000 binary64) (.f64 #s(literal 3/25 binary64) (.f64 x x))) (-.f64 #s(literal 64009/120000 binary64) (.f64 #s(literal 3/25 binary64) (.f64 x x))))))) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal -64009/120000 binary64) (.f64 #s(literal 3/25 binary64) (.f64 x x))) (+.f64 (.f64 #s(literal 3/25 binary64) (*.f64 x x)) #s(literal 55991/120000 binary64))))))
(neg.f64 (/.f64 (+.f64 #s(literal -1 binary64) (.f64 (+.f64 #s(literal -64009/120000 binary64) (.f64 #s(literal 3/25 binary64) (.f64 x x))) (+.f64 #s(literal -64009/120000 binary64) (.f64 #s(literal 3/25 binary64) (.f64 x x))))) (+.f64 (.f64 #s(literal 3/25 binary64) (*.f64 x x)) #s(literal 55991/120000 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 184009/120000 binary64) (.f64 #s(literal 3/25 binary64) (.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 184009/120000 binary64) (.f64 #s(literal 3/25 binary64) (.f64 x x)))) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 184009/120000 binary64) (.f64 #s(literal 3/25 binary64) (.f64 x x))))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal -64009/120000 binary64) (.f64 #s(literal 3/25 binary64) (.f64 x x))) (.f64 (+.f64 #s(literal -64009/120000 binary64) (.f64 #s(literal 3/25 binary64) (.f64 x x))) (-.f64 #s(literal 64009/120000 binary64) (.f64 #s(literal 3/25 binary64) (.f64 x x)))))) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal -64009/120000 binary64) (.f64 #s(literal 3/25 binary64) (.f64 x x))) (+.f64 (.f64 #s(literal 3/25 binary64) (*.f64 x x)) #s(literal 55991/120000 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal -64009/120000 binary64) (.f64 #s(literal 3/25 binary64) (.f64 x x))) (-.f64 #s(literal 64009/120000 binary64) (.f64 #s(literal 3/25 binary64) (.f64 x x))))) (+.f64 (.f64 #s(literal 3/25 binary64) (*.f64 x x)) #s(literal 55991/120000 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal -64009/120000 binary64) (.f64 #s(literal 3/25 binary64) (.f64 x x))) (.f64 (+.f64 #s(literal -64009/120000 binary64) (.f64 #s(literal 3/25 binary64) (.f64 x x))) (-.f64 #s(literal 64009/120000 binary64) (.f64 #s(literal 3/25 binary64) (.f64 x x))))))) (+.f64 #s(literal -1 binary64) (neg.f64 (.f64 (+.f64 #s(literal -64009/120000 binary64) (.f64 #s(literal 3/25 binary64) (.f64 x x))) (+.f64 (.f64 #s(literal 3/25 binary64) (*.f64 x x)) #s(literal 55991/120000 binary64))))))
(/.f64 (+.f64 #s(literal -1 binary64) (.f64 (+.f64 #s(literal -64009/120000 binary64) (.f64 #s(literal 3/25 binary64) (.f64 x x))) (+.f64 #s(literal -64009/120000 binary64) (.f64 #s(literal 3/25 binary64) (.f64 x x))))) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 #s(literal 3/25 binary64) (*.f64 x x)) #s(literal 55991/120000 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal -64009/120000 binary64) (.f64 #s(literal 3/25 binary64) (.f64 x x))) (+.f64 (.f64 #s(literal 3/25 binary64) (.f64 x x)) #s(literal 55991/120000 binary64))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal -64009/120000 binary64) (.f64 #s(literal 3/25 binary64) (.f64 x x))) (+.f64 (.f64 #s(literal 3/25 binary64) (.f64 x x)) #s(literal 55991/120000 binary64)))) (.f64 (+.f64 #s(literal -64009/120000 binary64) (.f64 #s(literal 3/25 binary64) (.f64 x x))) (.f64 (+.f64 #s(literal -64009/120000 binary64) (.f64 #s(literal 3/25 binary64) (.f64 x x))) (+.f64 #s(literal -64009/120000 binary64) (.f64 #s(literal 3/25 binary64) (.f64 x x))))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal -64009/120000 binary64) (.f64 #s(literal 3/25 binary64) (.f64 x x))) (+.f64 (.f64 #s(literal 3/25 binary64) (.f64 x x)) #s(literal 55991/120000 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal -64009/120000 binary64) (.f64 #s(literal 3/25 binary64) (.f64 x x))) (+.f64 (.f64 #s(literal 3/25 binary64) (*.f64 x x)) #s(literal 55991/120000 binary64))))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 3/25 binary64) (.f64 x x)) #s(literal 55991/120000 binary64))) (.f64 (+.f64 (.f64 #s(literal 3/25 binary64) (.f64 x x)) #s(literal 55991/120000 binary64)) (.f64 (+.f64 #s(literal -64009/120000 binary64) (.f64 #s(literal 3/25 binary64) (.f64 x x))) (+.f64 #s(literal -64009/120000 binary64) (.f64 #s(literal 3/25 binary64) (.f64 x x)))))) (.f64 (+.f64 (.f64 #s(literal 3/25 binary64) (.f64 x x)) #s(literal 55991/120000 binary64)) (+.f64 (.f64 #s(literal 3/25 binary64) (.f64 x x)) #s(literal 55991/120000 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal -64009/120000 binary64) (.f64 #s(literal 3/25 binary64) (.f64 x x))) (.f64 (+.f64 #s(literal -64009/120000 binary64) (.f64 #s(literal 3/25 binary64) (.f64 x x))) (-.f64 #s(literal 64009/120000 binary64) (.f64 #s(literal 3/25 binary64) (.f64 x x)))))))) (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (.f64 (+.f64 #s(literal -64009/120000 binary64) (.f64 #s(literal 3/25 binary64) (.f64 x x))) (+.f64 (.f64 #s(literal 3/25 binary64) (*.f64 x x)) #s(literal 55991/120000 binary64)))))))
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(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (+.f64 #s(literal -25/3 binary64) (/.f64 #s(literal 1265/72 binary64) x)))) (/.f64 (+.f64 #s(literal 25/3 binary64) (/.f64 #s(literal -1265/72 binary64) x)) (.f64 x x))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 (/.f64 x (/.f64 (+.f64 #s(literal 25/3 binary64) (/.f64 #s(literal -1265/72 binary64) x)) x)) (/.f64 (/.f64 (+.f64 #s(literal -25/3 binary64) (/.f64 #s(literal 1265/72 binary64) x)) (.f64 x x)) (/.f64 (.f64 x x) (+.f64 #s(literal -25/3 binary64) (/.f64 #s(literal 1265/72 binary64) x))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (+.f64 #s(literal -25/3 binary64) (/.f64 #s(literal 1265/72 binary64) x)))) (/.f64 (+.f64 #s(literal 25/3 binary64) (/.f64 #s(literal -1265/72 binary64) x)) (.f64 x x))))) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (+.f64 #s(literal -25/3 binary64) (/.f64 #s(literal 1265/72 binary64) x)))) (/.f64 (+.f64 #s(literal 25/3 binary64) (/.f64 #s(literal -1265/72 binary64) x)) (.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (+.f64 #s(literal -25/3 binary64) (/.f64 #s(literal 1265/72 binary64) x)))) (/.f64 (+.f64 #s(literal 25/3 binary64) (/.f64 #s(literal -1265/72 binary64) x)) (.f64 x x)))))) (+.f64 (.f64 (/.f64 (/.f64 (/.f64 x (/.f64 (+.f64 #s(literal 25/3 binary64) (/.f64 #s(literal -1265/72 binary64) x)) x)) (/.f64 (/.f64 (+.f64 #s(literal -25/3 binary64) (/.f64 #s(literal 1265/72 binary64) x)) (.f64 x x)) (/.f64 (.f64 x x) (+.f64 #s(literal -25/3 binary64) (/.f64 #s(literal 1265/72 binary64) x))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (+.f64 #s(literal -25/3 binary64) (/.f64 #s(literal 1265/72 binary64) x)))) (/.f64 (+.f64 #s(literal 25/3 binary64) (/.f64 #s(literal -1265/72 binary64) x)) (.f64 x x))))) (/.f64 (/.f64 (/.f64 x (/.f64 (+.f64 #s(literal 25/3 binary64) (/.f64 #s(literal -1265/72 binary64) x)) x)) (/.f64 (/.f64 (+.f64 #s(literal -25/3 binary64) (/.f64 #s(literal 1265/72 binary64) x)) (.f64 x x)) (/.f64 (.f64 x x) (+.f64 #s(literal -25/3 binary64) (/.f64 #s(literal 1265/72 binary64) x))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (+.f64 #s(literal -25/3 binary64) (/.f64 #s(literal 1265/72 binary64) x)))) (/.f64 (+.f64 #s(literal 25/3 binary64) (/.f64 #s(literal -1265/72 binary64) x)) (.f64 x x)))))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (+.f64 #s(literal -25/3 binary64) (/.f64 #s(literal 1265/72 binary64) x)))) (/.f64 (+.f64 #s(literal 25/3 binary64) (/.f64 #s(literal -1265/72 binary64) x)) (.f64 x x))))) (/.f64 (/.f64 (/.f64 x (/.f64 (+.f64 #s(literal 25/3 binary64) (/.f64 #s(literal -1265/72 binary64) x)) x)) (/.f64 (/.f64 (+.f64 #s(literal -25/3 binary64) (/.f64 #s(literal 1265/72 binary64) x)) (.f64 x x)) (/.f64 (.f64 x x) (+.f64 #s(literal -25/3 binary64) (/.f64 #s(literal 1265/72 binary64) x))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (+.f64 #s(literal -25/3 binary64) (/.f64 #s(literal 1265/72 binary64) x)))) (/.f64 (+.f64 #s(literal 25/3 binary64) (/.f64 #s(literal -1265/72 binary64) x)) (*.f64 x x)))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (+.f64 #s(literal -25/3 binary64) (/.f64 #s(literal 1265/72 binary64) x))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 (/.f64 x (/.f64 (+.f64 #s(literal 25/3 binary64) (/.f64 #s(literal -1265/72 binary64) x)) x)) (/.f64 (+.f64 #s(literal 25/3 binary64) (/.f64 #s(literal -1265/72 binary64) x)) (.f64 x x))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (+.f64 #s(literal -25/3 binary64) (/.f64 #s(literal 1265/72 binary64) x))))) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (+.f64 #s(literal -25/3 binary64) (/.f64 #s(literal 1265/72 binary64) x))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (+.f64 #s(literal -25/3 binary64) (/.f64 #s(literal 1265/72 binary64) x)))))) (+.f64 (.f64 (/.f64 (/.f64 (/.f64 x (/.f64 (+.f64 #s(literal 25/3 binary64) (/.f64 #s(literal -1265/72 binary64) x)) x)) (/.f64 (+.f64 #s(literal 25/3 binary64) (/.f64 #s(literal -1265/72 binary64) x)) (.f64 x x))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (+.f64 #s(literal -25/3 binary64) (/.f64 #s(literal 1265/72 binary64) x))))) (/.f64 (/.f64 (/.f64 x (/.f64 (+.f64 #s(literal 25/3 binary64) (/.f64 #s(literal -1265/72 binary64) x)) x)) (/.f64 (+.f64 #s(literal 25/3 binary64) (/.f64 #s(literal -1265/72 binary64) x)) (.f64 x x))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (+.f64 #s(literal -25/3 binary64) (/.f64 #s(literal 1265/72 binary64) x)))))) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (+.f64 #s(literal -25/3 binary64) (/.f64 #s(literal 1265/72 binary64) x))))) (/.f64 (/.f64 (/.f64 x (/.f64 (+.f64 #s(literal 25/3 binary64) (/.f64 #s(literal -1265/72 binary64) x)) x)) (/.f64 (+.f64 #s(literal 25/3 binary64) (/.f64 #s(literal -1265/72 binary64) x)) (.f64 x x))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (+.f64 #s(literal -25/3 binary64) (/.f64 #s(literal 1265/72 binary64) x)))))))))
(/.f64 (-.f64 (/.f64 (/.f64 x (/.f64 (+.f64 #s(literal 25/3 binary64) (/.f64 #s(literal -1265/72 binary64) x)) x)) (/.f64 (+.f64 #s(literal 25/3 binary64) (/.f64 #s(literal -1265/72 binary64) x)) (.f64 x x))) #s(literal 1 binary64)) (-.f64 (/.f64 (.f64 x x) (+.f64 #s(literal -25/3 binary64) (/.f64 #s(literal 1265/72 binary64) x))) #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (+.f64 #s(literal -25/3 binary64) (/.f64 #s(literal 1265/72 binary64) x)))) (/.f64 (+.f64 #s(literal 25/3 binary64) (/.f64 #s(literal -1265/72 binary64) x)) (.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (+.f64 #s(literal -25/3 binary64) (/.f64 #s(literal 1265/72 binary64) x)))) (/.f64 (+.f64 #s(literal 25/3 binary64) (/.f64 #s(literal -1265/72 binary64) x)) (.f64 x x)))))) (.f64 (/.f64 (/.f64 (/.f64 x (/.f64 (+.f64 #s(literal 25/3 binary64) (/.f64 #s(literal -1265/72 binary64) x)) x)) (/.f64 (/.f64 (+.f64 #s(literal -25/3 binary64) (/.f64 #s(literal 1265/72 binary64) x)) (.f64 x x)) (/.f64 (.f64 x x) (+.f64 #s(literal -25/3 binary64) (/.f64 #s(literal 1265/72 binary64) x))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (+.f64 #s(literal -25/3 binary64) (/.f64 #s(literal 1265/72 binary64) x)))) (/.f64 (+.f64 #s(literal 25/3 binary64) (/.f64 #s(literal -1265/72 binary64) x)) (.f64 x x))))) (/.f64 (/.f64 (/.f64 x (/.f64 (+.f64 #s(literal 25/3 binary64) (/.f64 #s(literal -1265/72 binary64) x)) x)) (/.f64 (/.f64 (+.f64 #s(literal -25/3 binary64) (/.f64 #s(literal 1265/72 binary64) x)) (.f64 x x)) (/.f64 (.f64 x x) (+.f64 #s(literal -25/3 binary64) (/.f64 #s(literal 1265/72 binary64) x))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (+.f64 #s(literal -25/3 binary64) (/.f64 #s(literal 1265/72 binary64) x)))) (/.f64 (+.f64 #s(literal 25/3 binary64) (/.f64 #s(literal -1265/72 binary64) x)) (.f64 x x))))))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (+.f64 #s(literal -25/3 binary64) (/.f64 #s(literal 1265/72 binary64) x)))) (/.f64 (+.f64 #s(literal 25/3 binary64) (/.f64 #s(literal -1265/72 binary64) x)) (.f64 x x))))) (/.f64 (/.f64 (/.f64 x (/.f64 (+.f64 #s(literal 25/3 binary64) (/.f64 #s(literal -1265/72 binary64) x)) x)) (/.f64 (/.f64 (+.f64 #s(literal -25/3 binary64) (/.f64 #s(literal 1265/72 binary64) x)) (.f64 x x)) (/.f64 (.f64 x x) (+.f64 #s(literal -25/3 binary64) (/.f64 #s(literal 1265/72 binary64) x))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (+.f64 #s(literal -25/3 binary64) (/.f64 #s(literal 1265/72 binary64) x)))) (/.f64 (+.f64 #s(literal 25/3 binary64) (/.f64 #s(literal -1265/72 binary64) x)) (.f64 x x)))))))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (+.f64 #s(literal -25/3 binary64) (/.f64 #s(literal 1265/72 binary64) x))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (+.f64 #s(literal -25/3 binary64) (/.f64 #s(literal 1265/72 binary64) x)))))) (.f64 (/.f64 (/.f64 (/.f64 x (/.f64 (+.f64 #s(literal 25/3 binary64) (/.f64 #s(literal -1265/72 binary64) x)) x)) (/.f64 (+.f64 #s(literal 25/3 binary64) (/.f64 #s(literal -1265/72 binary64) x)) (.f64 x x))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (+.f64 #s(literal -25/3 binary64) (/.f64 #s(literal 1265/72 binary64) x))))) (/.f64 (/.f64 (/.f64 x (/.f64 (+.f64 #s(literal 25/3 binary64) (/.f64 #s(literal -1265/72 binary64) x)) x)) (/.f64 (+.f64 #s(literal 25/3 binary64) (/.f64 #s(literal -1265/72 binary64) x)) (.f64 x x))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (+.f64 #s(literal -25/3 binary64) (/.f64 #s(literal 1265/72 binary64) x))))))) (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (+.f64 #s(literal -25/3 binary64) (/.f64 #s(literal 1265/72 binary64) x))))) (/.f64 (/.f64 (/.f64 x (/.f64 (+.f64 #s(literal 25/3 binary64) (/.f64 #s(literal -1265/72 binary64) x)) x)) (/.f64 (+.f64 #s(literal 25/3 binary64) (/.f64 #s(literal -1265/72 binary64) x)) (.f64 x x))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (+.f64 #s(literal -25/3 binary64) (/.f64 #s(literal 1265/72 binary64) x)))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (+.f64 #s(literal -25/3 binary64) (/.f64 #s(literal 1265/72 binary64) x))))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (+.f64 #s(literal -25/3 binary64) (/.f64 #s(literal 1265/72 binary64) x)))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 x (/.f64 (+.f64 #s(literal 25/3 binary64) (/.f64 #s(literal -1265/72 binary64) x)) x)) (/.f64 (/.f64 x (/.f64 (+.f64 #s(literal 25/3 binary64) (/.f64 #s(literal -1265/72 binary64) x)) x)) (/.f64 (+.f64 #s(literal -25/3 binary64) (/.f64 #s(literal 1265/72 binary64) x)) (.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (+.f64 #s(literal -25/3 binary64) (/.f64 #s(literal 1265/72 binary64) x)))) (/.f64 (+.f64 #s(literal 25/3 binary64) (/.f64 #s(literal -1265/72 binary64) x)) (*.f64 x x))))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (/.f64 (+.f64 #s(literal 25/3 binary64) (/.f64 #s(literal -1265/72 binary64) x)) x)) (/.f64 (+.f64 #s(literal -25/3 binary64) (/.f64 #s(literal 1265/72 binary64) x)) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (+.f64 #s(literal -25/3 binary64) (/.f64 #s(literal 1265/72 binary64) x))))))
(.f64 (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 x (/.f64 (+.f64 #s(literal 25/3 binary64) (/.f64 #s(literal -1265/72 binary64) x)) x)) (/.f64 (/.f64 (+.f64 #s(literal -25/3 binary64) (/.f64 #s(literal 1265/72 binary64) x)) (.f64 x x)) (/.f64 (.f64 x x) (+.f64 #s(literal -25/3 binary64) (/.f64 #s(literal 1265/72 binary64) x)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (+.f64 #s(literal -25/3 binary64) (/.f64 #s(literal 1265/72 binary64) x)))) (/.f64 (+.f64 #s(literal 25/3 binary64) (/.f64 #s(literal -1265/72 binary64) x)) (*.f64 x x)))))))
(.f64 (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 x (/.f64 (+.f64 #s(literal 25/3 binary64) (/.f64 #s(literal -1265/72 binary64) x)) x)) (/.f64 (+.f64 #s(literal 25/3 binary64) (/.f64 #s(literal -1265/72 binary64) x)) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 x x) (+.f64 #s(literal -25/3 binary64) (/.f64 #s(literal 1265/72 binary64) x))))))

simplify392.0ms (4.9%)

Algorithm

1×	egg-herbie

Rules

11628×	`accelerator-lowering-fma.f32`
11628×	`accelerator-lowering-fma.f64`
3582×	`-lowering-.f32`
3582×	`-lowering-.f64`
1914×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	135	1064
1	354	1064
2	949	1026
3	2427	986
4	6112	986
0	8195	900

Stop Event

1×	iter limit
1×	node limit

Counts

192 → 192

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)
(* -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))
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))
-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
(+ 64009/1000000 (* -9/625 (pow x 2)))
(+ 64009/1000000 (* -9/625 (pow x 2)))
(+ 64009/1000000 (* -9/625 (pow x 2)))
(* -9/625 (pow x 2))
(* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))
(* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))
(* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))
(* -9/625 (pow x 2))
(* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))
(* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))
(* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))
(/ -1265/72 (pow x 3))
(/ (- (* 25/3 x) 1265/72) (pow x 3))
(/ (- (* 25/3 x) 1265/72) (pow x 3))
(/ (- (* 25/3 x) 1265/72) (pow x 3))
(/ 25/3 (pow x 2))
(/ (- 25/3 (* 1265/72 (/ 1 x))) (pow x 2))
(/ (- 25/3 (* 1265/72 (/ 1 x))) (pow x 2))
(/ (- 25/3 (* 1265/72 (/ 1 x))) (pow x 2))
(/ 25/3 (pow x 2))
(/ (- 25/3 (* 1265/72 (/ 1 x))) (pow x 2))
(/ (- 25/3 (* 1265/72 (/ 1 x))) (pow x 2))
(/ (- 25/3 (* 1265/72 (/ 1 x))) (pow x 2))
(* -72/1265 (pow x 3))
(* (pow x 3) (- (* -1728/64009 x) 72/1265))
(* (pow x 3) (- (* x (- (* -207360/16194277 x) 1728/64009)) 72/1265))
(* (pow x 3) (- (* x (- (* x (- (* -24883200/4097152081 x) 207360/16194277)) 1728/64009)) 72/1265))
(* 3/25 (pow x 2))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(* (pow x 2) (+ 3/25 (+ (/ 64009/120000 (pow x 2)) (* 253/1000 (/ 1 x)))))
(* (pow x 2) (+ 3/25 (+ (/ 64009/120000 (pow x 2)) (+ (* 253/1000 (/ 1 x)) (* 16194277/14400000 (/ 1 (pow x 3)))))))
(* 3/25 (pow x 2))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(* (pow x 2) (+ 3/25 (+ (/ 64009/120000 (pow x 2)) (* 253/1000 (/ 1 x)))))
(* (pow x 2) (+ 3/25 (* -1 (/ (- (* -1 (/ (+ 64009/120000 (* 16194277/14400000 (/ 1 x))) x)) 253/1000) x))))
(/ -1265/72 x)
(/ -1265/72 x)
(/ -1265/72 x)
(/ -1265/72 x)
(/ -1265/72 x)
(/ -1265/72 x)
(/ -1265/72 x)
(/ -1265/72 x)
(/ -1265/72 x)
(/ -1265/72 x)
(/ -1265/72 x)
(/ -1265/72 x)
(/ -1265/72 x)
(/ (- (* 25/3 x) 1265/72) x)
(/ (- (* 25/3 x) 1265/72) x)
(/ (- (* 25/3 x) 1265/72) x)
25/3
(- 25/3 (* 1265/72 (/ 1 x)))
(- 25/3 (* 1265/72 (/ 1 x)))
(- 25/3 (* 1265/72 (/ 1 x)))
25/3
(- 25/3 (* 1265/72 (/ 1 x)))
(- 25/3 (* 1265/72 (/ 1 x)))
(- 25/3 (* 1265/72 (/ 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)
(* -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
(+ 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 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
x
x
x
x
x
x
x
x
x
x
x
x
1
(+ 1 (* 72/1265 (pow x 3)))
(+ 1 (* (pow x 3) (+ 72/1265 (* 1728/64009 x))))
(+ 1 (* (pow x 3) (+ 72/1265 (* x (+ 1728/64009 (* 207360/16194277 x))))))
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (/ 55991/120000 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (/ 55991/120000 (pow x 2)) (+ 3/25 (+ (* 253/1000 (/ 1 x)) (* 16194277/14400000 (/ 1 (pow x 3)))))))
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (* 55991/120000 (/ 1 x))) x)) 3/25))
(* (pow x 2) (- (* -1 (/ (+ 253/1000 (* -1 (/ (- 55991/120000 (* 16194277/14400000 (/ 1 x))) 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)
(* -3/25 (pow x 2))
(.f64 #s(literal -3/25 binary64) (.f64 x x))
(* -3/25 (pow x 2))
(.f64 #s(literal -3/25 binary64) (.f64 x x))
(* -3/25 (pow x 2))
(.f64 #s(literal -3/25 binary64) (.f64 x x))
(* -3/25 (pow x 2))
(.f64 #s(literal -3/25 binary64) (.f64 x x))
(* -3/25 (pow x 2))
(.f64 #s(literal -3/25 binary64) (.f64 x x))
(* -3/25 (pow x 2))
(.f64 #s(literal -3/25 binary64) (.f64 x x))
(* -3/25 (pow x 2))
(.f64 #s(literal -3/25 binary64) (.f64 x x))
(* -3/25 (pow x 2))
(.f64 #s(literal -3/25 binary64) (.f64 x x))
(* -3/25 (pow x 2))
(.f64 #s(literal -3/25 binary64) (.f64 x x))
(* -3/25 (pow x 2))
(.f64 #s(literal -3/25 binary64) (.f64 x x))
(* -3/25 (pow x 2))
(.f64 #s(literal -3/25 binary64) (.f64 x x))
(* -3/25 (pow x 2))
(.f64 #s(literal -3/25 binary64) (.f64 x x))
184009/120000
#s(literal 184009/120000 binary64)
(+ 184009/120000 (* -3/25 (pow x 2)))
(+.f64 (.f64 #s(literal -3/25 binary64) (.f64 x x)) #s(literal 184009/120000 binary64))
(+ 184009/120000 (* -3/25 (pow x 2)))
(+.f64 (.f64 #s(literal -3/25 binary64) (.f64 x x)) #s(literal 184009/120000 binary64))
(+ 184009/120000 (* -3/25 (pow x 2)))
(+.f64 (.f64 #s(literal -3/25 binary64) (.f64 x x)) #s(literal 184009/120000 binary64))
(* -3/25 (pow x 2))
(.f64 #s(literal -3/25 binary64) (.f64 x x))
(* (pow x 2) (- (* 184009/120000 (/ 1 (pow x 2))) 3/25))
(+.f64 (.f64 #s(literal -3/25 binary64) (.f64 x x)) #s(literal 184009/120000 binary64))
(* (pow x 2) (- (* 184009/120000 (/ 1 (pow x 2))) 3/25))
(+.f64 (.f64 #s(literal -3/25 binary64) (.f64 x x)) #s(literal 184009/120000 binary64))
(* (pow x 2) (- (* 184009/120000 (/ 1 (pow x 2))) 3/25))
(+.f64 (.f64 #s(literal -3/25 binary64) (.f64 x x)) #s(literal 184009/120000 binary64))
(* -3/25 (pow x 2))
(.f64 #s(literal -3/25 binary64) (.f64 x x))
(* (pow x 2) (- (* 184009/120000 (/ 1 (pow x 2))) 3/25))
(+.f64 (.f64 #s(literal -3/25 binary64) (.f64 x x)) #s(literal 184009/120000 binary64))
(* (pow x 2) (- (* 184009/120000 (/ 1 (pow x 2))) 3/25))
(+.f64 (.f64 #s(literal -3/25 binary64) (.f64 x x)) #s(literal 184009/120000 binary64))
(* (pow x 2) (- (* 184009/120000 (/ 1 (pow x 2))) 3/25))
(+.f64 (.f64 #s(literal -3/25 binary64) (.f64 x x)) #s(literal 184009/120000 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)))
-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)
(+ 64009/1000000 (* -9/625 (pow x 2)))
(+.f64 (.f64 x (.f64 x #s(literal -9/625 binary64))) #s(literal 64009/1000000 binary64))
(+ 64009/1000000 (* -9/625 (pow x 2)))
(+.f64 (.f64 x (.f64 x #s(literal -9/625 binary64))) #s(literal 64009/1000000 binary64))
(+ 64009/1000000 (* -9/625 (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) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))
(+.f64 (.f64 x (.f64 x #s(literal -9/625 binary64))) #s(literal 64009/1000000 binary64))
(* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))
(+.f64 (.f64 x (.f64 x #s(literal -9/625 binary64))) #s(literal 64009/1000000 binary64))
(* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))
(+.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) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))
(+.f64 (.f64 x (.f64 x #s(literal -9/625 binary64))) #s(literal 64009/1000000 binary64))
(* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))
(+.f64 (.f64 x (.f64 x #s(literal -9/625 binary64))) #s(literal 64009/1000000 binary64))
(* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))
(+.f64 (.f64 x (.f64 x #s(literal -9/625 binary64))) #s(literal 64009/1000000 binary64))
(/ -1265/72 (pow x 3))
(/.f64 (/.f64 #s(literal -1265/72 binary64) (*.f64 x x)) x)
(/ (- (* 25/3 x) 1265/72) (pow x 3))
(/.f64 (/.f64 (+.f64 #s(literal 25/3 binary64) (/.f64 #s(literal -1265/72 binary64) x)) x) x)
(/ (- (* 25/3 x) 1265/72) (pow x 3))
(/.f64 (/.f64 (+.f64 #s(literal 25/3 binary64) (/.f64 #s(literal -1265/72 binary64) x)) x) x)
(/ (- (* 25/3 x) 1265/72) (pow x 3))
(/.f64 (/.f64 (+.f64 #s(literal 25/3 binary64) (/.f64 #s(literal -1265/72 binary64) x)) x) x)
(/ 25/3 (pow x 2))
(/.f64 #s(literal 25/3 binary64) (*.f64 x x))
(/ (- 25/3 (* 1265/72 (/ 1 x))) (pow x 2))
(/.f64 (/.f64 (+.f64 #s(literal 25/3 binary64) (/.f64 #s(literal -1265/72 binary64) x)) x) x)
(/ (- 25/3 (* 1265/72 (/ 1 x))) (pow x 2))
(/.f64 (/.f64 (+.f64 #s(literal 25/3 binary64) (/.f64 #s(literal -1265/72 binary64) x)) x) x)
(/ (- 25/3 (* 1265/72 (/ 1 x))) (pow x 2))
(/.f64 (/.f64 (+.f64 #s(literal 25/3 binary64) (/.f64 #s(literal -1265/72 binary64) x)) x) x)
(/ 25/3 (pow x 2))
(/.f64 #s(literal 25/3 binary64) (*.f64 x x))
(/ (- 25/3 (* 1265/72 (/ 1 x))) (pow x 2))
(/.f64 (/.f64 (+.f64 #s(literal 25/3 binary64) (/.f64 #s(literal -1265/72 binary64) x)) x) x)
(/ (- 25/3 (* 1265/72 (/ 1 x))) (pow x 2))
(/.f64 (/.f64 (+.f64 #s(literal 25/3 binary64) (/.f64 #s(literal -1265/72 binary64) x)) x) x)
(/ (- 25/3 (* 1265/72 (/ 1 x))) (pow x 2))
(/.f64 (/.f64 (+.f64 #s(literal 25/3 binary64) (/.f64 #s(literal -1265/72 binary64) x)) x) x)
(* -72/1265 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal -72/1265 binary64))))
(* (pow x 3) (- (* -1728/64009 x) 72/1265))
(.f64 x (.f64 x (.f64 x (+.f64 #s(literal -72/1265 binary64) (.f64 x #s(literal -1728/64009 binary64))))))
(* (pow x 3) (- (* x (- (* -207360/16194277 x) 1728/64009)) 72/1265))
(.f64 x (.f64 (.f64 x x) (+.f64 #s(literal -72/1265 binary64) (.f64 x (+.f64 #s(literal -1728/64009 binary64) (*.f64 x #s(literal -207360/16194277 binary64)))))))
(* (pow x 3) (- (* x (- (* x (- (* -24883200/4097152081 x) 207360/16194277)) 1728/64009)) 72/1265))
(.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal -72/1265 binary64) (.f64 x (+.f64 #s(literal -1728/64009 binary64) (.f64 x (+.f64 #s(literal -207360/16194277 binary64) (.f64 x #s(literal -24883200/4097152081 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 (+ (/ 64009/120000 (pow x 2)) (* 253/1000 (/ 1 x)))))
(+.f64 (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))) #s(literal 64009/120000 binary64))
(* (pow x 2) (+ 3/25 (+ (/ 64009/120000 (pow x 2)) (+ (* 253/1000 (/ 1 x)) (* 16194277/14400000 (/ 1 (pow x 3)))))))
(+.f64 (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))) (+.f64 (/.f64 #s(literal 16194277/14400000 binary64) x) #s(literal 64009/120000 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 (+ (/ 64009/120000 (pow x 2)) (* 253/1000 (/ 1 x)))))
(+.f64 (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))) #s(literal 64009/120000 binary64))
(* (pow x 2) (+ 3/25 (* -1 (/ (- (* -1 (/ (+ 64009/120000 (* 16194277/14400000 (/ 1 x))) x)) 253/1000) x))))
(+.f64 (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))) (+.f64 (/.f64 #s(literal 16194277/14400000 binary64) x) #s(literal 64009/120000 binary64)))
(/ -1265/72 x)
(/.f64 #s(literal -1265/72 binary64) x)
(/ -1265/72 x)
(/.f64 #s(literal -1265/72 binary64) x)
(/ -1265/72 x)
(/.f64 #s(literal -1265/72 binary64) x)
(/ -1265/72 x)
(/.f64 #s(literal -1265/72 binary64) x)
(/ -1265/72 x)
(/.f64 #s(literal -1265/72 binary64) x)
(/ -1265/72 x)
(/.f64 #s(literal -1265/72 binary64) x)
(/ -1265/72 x)
(/.f64 #s(literal -1265/72 binary64) x)
(/ -1265/72 x)
(/.f64 #s(literal -1265/72 binary64) x)
(/ -1265/72 x)
(/.f64 #s(literal -1265/72 binary64) x)
(/ -1265/72 x)
(/.f64 #s(literal -1265/72 binary64) x)
(/ -1265/72 x)
(/.f64 #s(literal -1265/72 binary64) x)
(/ -1265/72 x)
(/.f64 #s(literal -1265/72 binary64) x)
(/ -1265/72 x)
(/.f64 #s(literal -1265/72 binary64) x)
(/ (- (* 25/3 x) 1265/72) x)
(+.f64 #s(literal 25/3 binary64) (/.f64 #s(literal -1265/72 binary64) x))
(/ (- (* 25/3 x) 1265/72) x)
(+.f64 #s(literal 25/3 binary64) (/.f64 #s(literal -1265/72 binary64) x))
(/ (- (* 25/3 x) 1265/72) x)
(+.f64 #s(literal 25/3 binary64) (/.f64 #s(literal -1265/72 binary64) x))
25/3
#s(literal 25/3 binary64)
(- 25/3 (* 1265/72 (/ 1 x)))
(+.f64 #s(literal 25/3 binary64) (/.f64 #s(literal -1265/72 binary64) x))
(- 25/3 (* 1265/72 (/ 1 x)))
(+.f64 #s(literal 25/3 binary64) (/.f64 #s(literal -1265/72 binary64) x))
(- 25/3 (* 1265/72 (/ 1 x)))
(+.f64 #s(literal 25/3 binary64) (/.f64 #s(literal -1265/72 binary64) x))
25/3
#s(literal 25/3 binary64)
(- 25/3 (* 1265/72 (/ 1 x)))
(+.f64 #s(literal 25/3 binary64) (/.f64 #s(literal -1265/72 binary64) x))
(- 25/3 (* 1265/72 (/ 1 x)))
(+.f64 #s(literal 25/3 binary64) (/.f64 #s(literal -1265/72 binary64) x))
(- 25/3 (* 1265/72 (/ 1 x)))
(+.f64 #s(literal 25/3 binary64) (/.f64 #s(literal -1265/72 binary64) 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 #s(literal -3/25 binary64) x) #s(literal -253/1000 binary64)))
(* x (- (* -3/25 x) 253/1000))
(.f64 x (+.f64 (.f64 #s(literal -3/25 binary64) x) #s(literal -253/1000 binary64)))
(* x (- (* -3/25 x) 253/1000))
(.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))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(.f64 x (+.f64 (.f64 #s(literal -3/25 binary64) x) #s(literal -253/1000 binary64)))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(.f64 x (+.f64 (.f64 #s(literal -3/25 binary64) x) #s(literal -253/1000 binary64)))
(* -1 (* (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))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(.f64 x (+.f64 (.f64 #s(literal -3/25 binary64) x) #s(literal -253/1000 binary64)))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(.f64 x (+.f64 (.f64 #s(literal -3/25 binary64) x) #s(literal -253/1000 binary64)))
(* -1 (* (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 #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)))
(+ 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))
(* 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))
(* 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)))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
x
x
x
x
x
x
x
x
x
x
x
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1
#s(literal 1 binary64)
(+ 1 (* 72/1265 (pow x 3)))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 (*.f64 x x) #s(literal 72/1265 binary64))))
(+ 1 (* (pow x 3) (+ 72/1265 (* 1728/64009 x))))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 72/1265 binary64) (.f64 x #s(literal 1728/64009 binary64))))))
(+ 1 (* (pow x 3) (+ 72/1265 (* x (+ 1728/64009 (* 207360/16194277 x))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 72/1265 binary64) (.f64 x (+.f64 #s(literal 1728/64009 binary64) (*.f64 x #s(literal 207360/16194277 binary64)))))))
(* -3/25 (pow x 2))
(.f64 #s(literal -3/25 binary64) (.f64 x x))
(* -1 (* (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) (- (/ 55991/120000 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(+.f64 (.f64 x (+.f64 (.f64 #s(literal -3/25 binary64) x) #s(literal -253/1000 binary64))) #s(literal 55991/120000 binary64))
(* (pow x 2) (- (/ 55991/120000 (pow x 2)) (+ 3/25 (+ (* 253/1000 (/ 1 x)) (* 16194277/14400000 (/ 1 (pow x 3)))))))
(+.f64 (.f64 x (+.f64 (.f64 #s(literal -3/25 binary64) x) #s(literal -253/1000 binary64))) (+.f64 #s(literal 55991/120000 binary64) (/.f64 #s(literal -16194277/14400000 binary64) x)))
(* -3/25 (pow x 2))
(.f64 #s(literal -3/25 binary64) (.f64 x x))
(* -1 (* (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) (- (* -1 (/ (- 253/1000 (* 55991/120000 (/ 1 x))) x)) 3/25))
(+.f64 (.f64 x (+.f64 (.f64 #s(literal -3/25 binary64) x) #s(literal -253/1000 binary64))) #s(literal 55991/120000 binary64))
(* (pow x 2) (- (* -1 (/ (+ 253/1000 (* -1 (/ (- 55991/120000 (* 16194277/14400000 (/ 1 x))) x))) x)) 3/25))
(+.f64 (.f64 x (+.f64 (.f64 #s(literal -3/25 binary64) x) #s(literal -253/1000 binary64))) (+.f64 #s(literal 55991/120000 binary64) (/.f64 #s(literal -16194277/14400000 binary64) x)))

eval120.0ms (1.5%)

Compiler: Compiled 18726 to 2393 computations (87.2% saved)

prune192.0ms (2.4%)

Pruning

11 alts after pruning (4 fresh and 7 done)

	Pruned	Kept	Total
New	1007	4	1011
Fresh	0	0	0
Picked	3	1	4
Done	1	6	7
Total	1011	11	1022

Accuracy

100.0%

Counts

1022 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	44.7%	(/.f64 (*.f64 x #s(literal 3/25 binary64)) (/.f64 #s(literal -1 binary64) x))
✓	46.1%	(-.f64 (.f64 x (.f64 x #s(literal -3/25 binary64))) (*.f64 x #s(literal 253/1000 binary64)))
	54.3%	(-.f64 #s(literal 184009/120000 binary64) (.f64 (.f64 (*.f64 x x) #s(literal -9/625 binary64)) #s(literal -25/3 binary64)))
	98.2%	(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (+.f64 #s(literal 25/3 binary64) (/.f64 #s(literal -1265/72 binary64) x))))
✓	99.9%	(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))
✓	56.4%	(-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 253/1000 binary64)))
	44.7%	(.f64 (.f64 x x) #s(literal -3/25 binary64))
✓	46.1%	(.f64 x (+.f64 #s(literal -253/1000 binary64) (.f64 x #s(literal -3/25 binary64))))
✓	44.7%	(.f64 x (.f64 x #s(literal -3/25 binary64)))
✓	3.7%	(*.f64 x #s(literal -253/1000 binary64))
✓	54.6%	#s(literal 1 binary64)

Compiler

Compiled 269 to 127 computations (52.8% saved)

regimes25.0ms (0.3%)

Counts

20 → 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 x #s(literal -3/25 binary64))))
(-.f64 #s(literal 1 binary64) (.f64 #s(literal 3/25 binary64) (.f64 x x)))
(/.f64 (*.f64 x #s(literal 3/25 binary64)) (/.f64 #s(literal -1 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 #s(literal 1 binary64) (/.f64 #s(literal 25/3 binary64) (*.f64 x x))))
(-.f64 #s(literal 184009/120000 binary64) (.f64 (.f64 (*.f64 x x) #s(literal -9/625 binary64)) #s(literal -25/3 binary64)))
(-.f64 (.f64 x (.f64 x #s(literal -3/25 binary64))) (*.f64 x #s(literal 253/1000 binary64)))
(/.f64 (+.f64 (*.f64 x #s(literal 3/25 binary64)) #s(literal 253/1000 binary64)) (/.f64 #s(literal -1 binary64) x))
(-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 64009/1000000 binary64) (.f64 (*.f64 x x) #s(literal -9/625 binary64))) #s(literal -25/3 binary64)))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (+.f64 #s(literal 25/3 binary64) (/.f64 #s(literal -1265/72 binary64) x))))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x #s(literal 3/25 binary64)) #s(literal 253/1000 binary64)) (/.f64 #s(literal 1 binary64) x)))
(-.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 3/25 binary64)))) (*.f64 x #s(literal 253/1000 binary64)))
(-.f64 #s(literal 1 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 64009/1000000 binary64) (.f64 (.f64 x x) #s(literal -9/625 binary64))) (/.f64 x (-.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))))
(-.f64 #s(literal 1 binary64) (/.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))))))))

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

Calls

3 calls:

11.0ms	(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))
6.0ms	(.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))
6.0ms	x

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

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
97.4%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

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 x #s(literal -3/25 binary64))))

Outputs

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
98.7%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes6.0ms (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 x (.f64 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:

6.0ms

Results

Accuracy	Segments	Branch
97.9%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (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 x (.f64 x #s(literal -3/25 binary64)))
#s(literal 1 binary64)
(.f64 x (.f64 x #s(literal -3/25 binary64)))

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
97.4%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Accuracy

Total -33.4b remaining (-115%)

Threshold costs -33.4b (-115%)

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
54.6%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

bsearch28.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	0.0002884183093182604	116285.6478541314
11.0ms	-2501.659299342255	-0.11321289065744833

Results

16.0ms

272×

valid

Compiler

Compiled 286 to 232 computations (18.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-mult: 4.0ms (52.8% of total)

ival-sub: 1.0ms (13.2% of total)

ival-add: 1.0ms (13.2% of total)

const: 1.0ms (13.2% of total)

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

bsearch28.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	0.0002884183093182604	116285.6478541314
14.0ms	-2501.659299342255	-0.11321289065744833

Results

17.0ms

272×

valid

Compiler

Compiled 252 to 198 computations (21.4% saved)

Precisions

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

ival-mult: 7.0ms (66.6% of total)

ival-sub: 1.0ms (9.5% of total)

ival-add: 1.0ms (9.5% of total)

const: 1.0ms (9.5% of total)

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

bsearch27.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	0.0002884183093182604	116285.6478541314
13.0ms	-2501.659299342255	-0.11321289065744833

Results

16.0ms

272×

valid

Compiler

Compiled 184 to 147 computations (20.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-mult: 4.0ms (52.9% of total)

ival-sub: 1.0ms (13.2% of total)

ival-add: 1.0ms (13.2% of total)

const: 1.0ms (13.2% of total)

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

soundness2.0ms (0%)

Stop Event

1×

fuel

Compiler

Compiled 87 to 29 computations (66.7% saved)

preprocess62.0ms (0.8%)

Compiler: Compiled 194 to 74 computations (61.9% saved)

analyze0.0ms (0%)

sample686.0ms (8.7%)

preprocess63.0ms (0.8%)

explain155.0ms (2%)

eval0.0ms (0%)

prune49.0ms (0.6%)

localize94.0ms (1.2%)

series9.0ms (0.1%)

rewrite419.0ms (5.3%)

simplify321.0ms (4%)

eval101.0ms (1.3%)

prune51.0ms (0.6%)

localize766.0ms (9.7%)

series21.0ms (0.3%)

rewrite746.0ms (9.4%)

simplify538.0ms (6.8%)

eval179.0ms (2.3%)

prune134.0ms (1.7%)

localize553.0ms (7%)

series100.0ms (1.3%)

rewrite462.0ms (5.8%)

simplify406.0ms (5.1%)

eval170.0ms (2.1%)

prune212.0ms (2.7%)

localize280.0ms (3.5%)

series28.0ms (0.4%)

rewrite481.0ms (6.1%)

simplify392.0ms (4.9%)

eval120.0ms (1.5%)

prune192.0ms (2.4%)

regimes25.0ms (0.3%)

regimes4.0ms (0%)

regimes3.0ms (0%)

regimes6.0ms (0.1%)

regimes2.0ms (0%)

regimes2.0ms (0%)

bsearch28.0ms (0.4%)

bsearch28.0ms (0.4%)

bsearch27.0ms (0.3%)

soundness2.0ms (0%)

preprocess62.0ms (0.8%)

end0.0ms (0%)

Profiling