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)

...c/correct-round.rkt:119:19: 0.0ms (0% of total)

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

sample1.3s (16.3%)

Results

973.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 708.0ms

...c/correct-round.rkt:119:19: 309.0ms (43.6% of total)

ival-mult: 210.0ms (29.7% of total)

ival-sub: 126.0ms (17.8% of total)

ival-add: 48.0ms (6.8% of total)

const: 12.0ms (1.7% of total)

backward-pass: 3.0ms (0.4% of total)

Bogosity

preprocess122.0ms (1.5%)

Algorithm

2×	egg-herbie

Rules

1378×	`fnmadd-define`
1002×	`fmsub-define`
996×	`fnmsub-define`
886×	`fma-define`
804×	`fnmadd-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	30
1	52	24
2	175	22
3	566	21
4	1788	21
5	3637	21
6	4247	21
7	4560	21
8	4585	21
0	8	9
1	24	8
2	67	7
3	162	7
4	368	7
5	696	7
6	1084	7
7	2255	7
8	2793	7
9	2873	7
0	2873	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 (.f64 x #s(literal -3/25 binary64)) #s(literal -253/1000 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))))
(fnmsub x (fnmsub x -3/25 -253/1000) -1)
(- 1 (* (neg x) (+ 253/1000 (* (neg x) 3/25))))
(fnmsub x (fnmsub x -3/25 253/1000) -1)
(neg (- 1 (* (neg x) (+ 253/1000 (* (neg x) 3/25)))))
(fnmsub x (fnmsub x 3/25 -253/1000) 1)

explain134.0ms (1.7%)

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

51.0ms

512×

valid

Compiler

Compiled 70 to 26 computations (62.9% saved)

Precisions

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

...c/correct-round.rkt:119:19: 14.0ms (48% of total)

ival-mult: 8.0ms (27.5% of total)

ival-sub: 3.0ms (10.3% of total)

ival-add: 3.0ms (10.3% of total)

const: 1.0ms (3.4% of total)

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Alt Table

Click to see full alt table

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

Compiler

Compiled 10 to 8 computations (20% saved)

simplify62.0ms (0.8%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

804×	`fnmadd-define`
654×	`fmsub-define`
622×	`fnmsub-define`
608×	`fma-lowering-fma.f32`
608×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	8	28
1	24	25
2	67	24
3	162	24
4	368	24
5	696	24
6	1084	24
7	2255	24
8	2793	24
9	2873	24
0	2873	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 (.f64 x #s(literal -3/25 binary64)) #s(literal -253/1000 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)

localize280.0ms (3.6%)

Localize:

Found 4 expressions of interest:

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

Results

239.0ms

256×

valid

Compiler

Compiled 30 to 9 computations (70% saved)

Precisions

Click to see histograms. Total time spent on operations: 228.0ms

ival-mult: 218.0ms (95.5% of total)

...c/correct-round.rkt:119:19: 7.0ms (3.1% of total)

ival-sub: 2.0ms (0.9% of total)

ival-add: 1.0ms (0.4% of total)

const: 0.0ms (0% of total)

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

series3.0ms (0%)

Counts

4 → 48

Calls

Call 1

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

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

Calls

12 calls:

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

rewrite518.0ms (6.6%)

Algorithm

1×	batch-egg-rewrite

Rules

2808×	`-lowering-.f32`
2808×	`-lowering-.f64`
1688×	`/-lowering-/.f32`
1688×	`/-lowering-/.f64`
1520×	`sum5-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	8	24
1	51	21
2	442	20
3	4945	20
0	8097	20

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 187

Calls

Call 1

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

Outputs
(+.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 (/.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))))) (neg.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (+.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 253/1000 binary64) (.f64 x #s(literal 3/25 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))) #s(literal -1 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 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 (.f64 x (*.f64 x #s(literal -3/25 binary64))) #s(literal 1 binary64)))
(+.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -253/1000 binary64))) (.f64 x (*.f64 x #s(literal -3/25 binary64))))
(+.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -3/25 binary64)))) (*.f64 x #s(literal -253/1000 binary64)))
(-.f64 #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 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.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 x x)) (.f64 (+.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 253/1000 binary64) (.f64 x #s(literal 3/25 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))) #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 x (+.f64 (*.f64 x #s(literal -3/25 binary64)) #s(literal -253/1000 binary64))))))
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -253/1000 binary64))) (.f64 x (*.f64 x #s(literal 3/25 binary64))))
(-.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 3/25 binary64)))) (*.f64 x #s(literal 253/1000 binary64)))
(fma.f64 x (+.f64 (*.f64 x #s(literal -3/25 binary64)) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(fma.f64 (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))) (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))) #s(literal 1 binary64))
(fma.f64 (+.f64 (*.f64 x #s(literal -3/25 binary64)) #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(neg.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 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)))))))
(neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x (+.f64 (.f64 x #s(literal -3/25 binary64)) #s(literal -253/1000 binary64))) 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))) #s(literal -1 binary64))))
(neg.f64 (/.f64 (+.f64 #s(literal -1 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 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))))))
(neg.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 x #s(literal -3/25 binary64)) #s(literal -253/1000 binary64))))))
(/.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))))))
(/.f64 #s(literal 1 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))))) #s(literal 1 binary64)))
(/.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 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 #s(literal 1 binary64) (.f64 (.f64 (.f64 x (+.f64 (.f64 x #s(literal -3/25 binary64)) #s(literal -253/1000 binary64))) x) (+.f64 #s(literal 253/1000 binary64) (.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) (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 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))))))
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(/.f64 (.f64 (-.f64 #s(literal 262254607552729/1000000000000000000 binary64) (.f64 #s(literal 729/244140625 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 4097152081/1000000000000 binary64) (.f64 (.f64 x (.f64 x #s(literal 9/625 binary64))) (+.f64 #s(literal 64009/1000000 binary64) (.f64 x (.f64 x #s(literal 9/625 binary64)))))) (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal -3/25 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 4097152081/1000000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 81/390625 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 64009/1000000 binary64) (.f64 x (.f64 x #s(literal 9/625 binary64)))) (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal -3/25 binary64)))))
(/.f64 (neg.f64 (+.f64 (neg.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 27/15625 binary64))) #s(literal -16194277/1000000000 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 64009/1000000 binary64) (.f64 x (-.f64 (*.f64 x #s(literal 9/625 binary64)) #s(literal 759/25000 binary64)))))))
(/.f64 (neg.f64 (+.f64 #s(literal -64009/1000000 binary64) (neg.f64 (.f64 (.f64 x x) #s(literal -9/625 binary64))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal -3/25 binary64))))))
(/.f64 (neg.f64 (+.f64 (.f64 x (.f64 x #s(literal 9/625 binary64))) #s(literal -64009/1000000 binary64))) (neg.f64 (+.f64 (*.f64 x #s(literal 3/25 binary64)) #s(literal -253/1000 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 64009/1000000 binary64) (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal -3/25 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 x (.f64 x #s(literal 9/625 binary64))) (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal -3/25 binary64)))) #s(literal 3 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 64009/1000000 binary64) (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal -3/25 binary64))))) (+.f64 (.f64 (/.f64 (.f64 x (.f64 x #s(literal 9/625 binary64))) (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal -3/25 binary64)))) (/.f64 (.f64 x (.f64 x #s(literal 9/625 binary64))) (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal -3/25 binary64))))) (.f64 (/.f64 #s(literal 64009/1000000 binary64) (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal -3/25 binary64)))) (/.f64 (.f64 x (.f64 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 64009/1000000 binary64) (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal -3/25 binary64)))) (/.f64 #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))) (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal -3/25 binary64)))) (/.f64 (.f64 x (.f64 x #s(literal 9/625 binary64))) (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal -3/25 binary64)))))) (+.f64 (/.f64 #s(literal 64009/1000000 binary64) (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal -3/25 binary64)))) (/.f64 (.f64 x (.f64 x #s(literal 9/625 binary64))) (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal -3/25 binary64))))))
(/.f64 (.f64 (+.f64 #s(literal 4247023759235185531933/1000000000000000000000000000 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 27/15625 binary64)) (.f64 #s(literal 729/244140625 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))) (/.f64 #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 #s(literal 262254607552729/1000000000000000000 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 27/15625 binary64)) (-.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 27/15625 binary64)) #s(literal 16194277/1000000000 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 262254607552729/1000000000000000000 binary64) (.f64 #s(literal 729/244140625 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (/.f64 #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 #s(literal 16194277/1000000000 binary64) (.f64 #s(literal -27/15625 binary64) (.f64 x (.f64 x x)))))
(/.f64 (.f64 (-.f64 #s(literal 262254607552729/1000000000000000000 binary64) (.f64 #s(literal 729/244140625 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal -3/25 binary64))))) (+.f64 #s(literal 4097152081/1000000000000 binary64) (.f64 (.f64 x (.f64 x #s(literal 9/625 binary64))) (+.f64 #s(literal 64009/1000000 binary64) (.f64 x (*.f64 x #s(literal 9/625 binary64)))))))
(/.f64 (.f64 (-.f64 #s(literal 4097152081/1000000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 81/390625 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal -3/25 binary64))))) (+.f64 #s(literal 64009/1000000 binary64) (.f64 x (.f64 x #s(literal 9/625 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))) #s(literal -1 binary64))
(.f64 #s(literal 1 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))) #s(literal 1 binary64))
(.f64 (+.f64 #s(literal 16194277/1000000000 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 27/15625 binary64))) (/.f64 #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 #s(literal 64009/1000000 binary64) (.f64 (.f64 x x) #s(literal -9/625 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal -3/25 binary64)))))
(.f64 (+.f64 (neg.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 27/15625 binary64))) #s(literal -16194277/1000000000 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 64009/1000000 binary64) (.f64 x (-.f64 (.f64 x #s(literal 9/625 binary64)) #s(literal 759/25000 binary64)))))))
(.f64 (+.f64 #s(literal -64009/1000000 binary64) (neg.f64 (.f64 (.f64 x x) #s(literal -9/625 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal -3/25 binary64))))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 64009/1000000 binary64) (.f64 x (-.f64 (.f64 x #s(literal 9/625 binary64)) #s(literal 759/25000 binary64))))) (+.f64 #s(literal 16194277/1000000000 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 27/15625 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal -3/25 binary64)))) (+.f64 #s(literal 64009/1000000 binary64) (.f64 (.f64 x x) #s(literal -9/625 binary64))))
(.f64 (+.f64 (.f64 x (.f64 x #s(literal 9/625 binary64))) #s(literal -64009/1000000 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x #s(literal 3/25 binary64)) #s(literal -253/1000 binary64))))
(.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal 16194277/1000000000 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 27/15625 binary64)))) (/.f64 #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 #s(literal 1 binary64) (+.f64 #s(literal 64009/1000000 binary64) (.f64 (.f64 x x) #s(literal -9/625 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal -3/25 binary64)))))
(.f64 (/.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 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))
(.f64 (/.f64 (+.f64 #s(literal 16194277/1000000000 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 27/15625 binary64))) (+.f64 #s(literal 262254607552729/1000000000000000000 binary64) (.f64 (.f64 x (-.f64 (.f64 x #s(literal 9/625 binary64)) #s(literal 759/25000 binary64))) (.f64 (.f64 x (-.f64 (.f64 x #s(literal 9/625 binary64)) #s(literal 759/25000 binary64))) (.f64 x (-.f64 (.f64 x #s(literal 9/625 binary64)) #s(literal 759/25000 binary64))))))) (+.f64 #s(literal 4097152081/1000000000000 binary64) (.f64 (.f64 x (-.f64 (.f64 x #s(literal 9/625 binary64)) #s(literal 759/25000 binary64))) (-.f64 (.f64 x (-.f64 (*.f64 x #s(literal 9/625 binary64)) #s(literal 759/25000 binary64))) #s(literal 64009/1000000 binary64)))))
(.f64 (/.f64 (+.f64 #s(literal 16194277/1000000000 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 27/15625 binary64))) (-.f64 #s(literal 4097152081/1000000000000 binary64) (.f64 (.f64 x (-.f64 (.f64 x #s(literal 9/625 binary64)) #s(literal 759/25000 binary64))) (.f64 x (-.f64 (.f64 x #s(literal 9/625 binary64)) #s(literal 759/25000 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 #s(literal 64009/1000000 binary64) (.f64 (.f64 x x) #s(literal -9/625 binary64))) (+.f64 #s(literal 16194277/1000000000 binary64) (.f64 #s(literal -27/15625 binary64) (.f64 x (.f64 x x))))) (+.f64 #s(literal 64009/1000000 binary64) (.f64 x (+.f64 (.f64 x #s(literal 9/625 binary64)) #s(literal 759/25000 binary64)))))
(*.f64 x #s(literal 3/25 binary64))
(*.f64 #s(literal 3/25 binary64) x)

simplify161.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

1516×	`fmsub-define`
1508×	`fnmsub-define`
1496×	`fma-lowering-fma.f32`
1496×	`fma-lowering-fma.f64`
1348×	`-lowering-.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	35	248
1	99	217
2	256	211
3	602	211
4	1438	211
5	4240	211
0	8146	211

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 48

Calls

Call 1

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

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

eval40.0ms (0.5%)

Compiler: Compiled 7019 to 692 computations (90.1% saved)

prune30.0ms (0.4%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	224	11	235
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	224	12	236

Accuracy

100.0%

Counts

236 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.8%	(/.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))))))
▶	99.9%	(-.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 3/25 binary64)))) (*.f64 x #s(literal 253/1000 binary64)))
	99.5%	(-.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal 3/25 binary64) (.f64 x #s(literal 253/1000 binary64))))
▶	99.8%	(-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))))
	99.5%	(-.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))))))
▶	99.7%	(-.f64 #s(literal 1 binary64) (.f64 x (/.f64 (+.f64 (.f64 x (.f64 x #s(literal 9/625 binary64))) #s(literal -64009/1000000 binary64)) (+.f64 (.f64 x #s(literal 3/25 binary64)) #s(literal -253/1000 binary64)))))
	99.7%	(-.f64 #s(literal 1 binary64) (.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x #s(literal 3/25 binary64)) #s(literal -253/1000 binary64)) (+.f64 (.f64 x (.f64 x #s(literal 9/625 binary64))) #s(literal -64009/1000000 binary64))))))
✓	99.9%	(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))
▶	42.2%	(-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 253/1000 binary64)))
	59.2%	(.f64 x (+.f64 #s(literal -253/1000 binary64) (.f64 x #s(literal -3/25 binary64))))
	58.3%	(.f64 x (.f64 x #s(literal -3/25 binary64)))
▶	40.3%	#s(literal 1 binary64)

Compiler

Compiled 264 to 200 computations (24.2% saved)

simplify311.0ms (4%)

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 (.f64 x (.f64 x #s(literal 9/625 binary64))) #s(literal -64009/1000000 binary64))
✓	cost-diff	0	(/.f64 (+.f64 (.f64 x (.f64 x #s(literal 9/625 binary64))) #s(literal -64009/1000000 binary64)) (+.f64 (*.f64 x #s(literal 3/25 binary64)) #s(literal -253/1000 binary64)))
✓	cost-diff	0	(.f64 x (/.f64 (+.f64 (.f64 x (.f64 x #s(literal 9/625 binary64))) #s(literal -64009/1000000 binary64)) (+.f64 (.f64 x #s(literal 3/25 binary64)) #s(literal -253/1000 binary64))))
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (.f64 x (/.f64 (+.f64 (.f64 x (.f64 x #s(literal 9/625 binary64))) #s(literal -64009/1000000 binary64)) (+.f64 (.f64 x #s(literal 3/25 binary64)) #s(literal -253/1000 binary64)))))
✓	cost-diff	0	(+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))
✓	cost-diff	128	(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))))
✓	cost-diff	128	(-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))))
✓	cost-diff	0	(*.f64 x #s(literal 253/1000 binary64))
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 253/1000 binary64)))
✓	cost-diff	0	(*.f64 x #s(literal 3/25 binary64))
✓	cost-diff	0	(.f64 x (.f64 x #s(literal 3/25 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)))

Rules

2892×	`fnmadd-define`
1890×	`fmsub-define`
1840×	`fnmsub-define`
1710×	`fma-lowering-fma.f32`
1710×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	24	148
1	64	131
2	161	126
3	404	126
4	870	126
5	1994	126
6	4278	126
7	7196	126
8	7581	126
9	7664	126
10	7736	126
11	7814	126
0	8754	126

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

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

localize137.0ms (1.7%)

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.7%	(.f64 x (.f64 x #s(literal 9/625 binary64)))
✓	accuracy	99.7%	(*.f64 x #s(literal 9/625 binary64))
✓	accuracy	99.6%	(*.f64 x #s(literal 3/25 binary64))
✓	accuracy	73.1%	(/.f64 (+.f64 (.f64 x (.f64 x #s(literal 9/625 binary64))) #s(literal -64009/1000000 binary64)) (+.f64 (*.f64 x #s(literal 3/25 binary64)) #s(literal -253/1000 binary64)))
✓	accuracy	100.0%	(+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))
✓	accuracy	99.7%	(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))))
✓	accuracy	99.6%	(*.f64 x #s(literal 3/25 binary64))
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 253/1000 binary64)))
✓	accuracy	99.9%	(*.f64 x #s(literal 253/1000 binary64))
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 3/25 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))

Results

100.0ms

256×

valid

Compiler

Compiled 160 to 25 computations (84.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 52.0ms

...c/correct-round.rkt:119:19: 18.0ms (34.5% of total)

ival-div: 12.0ms (23% of total)

ival-mult: 11.0ms (21.1% of total)

ival-sub: 7.0ms (13.4% of total)

ival-add: 4.0ms (7.7% of total)

const: 0.0ms (0% of total)

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

series10.0ms (0.1%)

Counts

16 → 192

Calls

Call 1

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

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

Calls

48 calls:

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

rewrite454.0ms (5.8%)

Algorithm

1×	batch-egg-rewrite

Rules

4298×	`-lowering-.f32`
4298×	`-lowering-.f64`
3052×	`/-lowering-/.f32`
3052×	`/-lowering-/.f64`
2520×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	24	102
1	177	82
2	1660	77
0	9038	77

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 543

Calls

Call 1

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

Outputs
(+.f64 #s(literal 1 binary64) (.f64 x (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x #s(literal 3/25 binary64)) #s(literal 253/1000 binary64)))))
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(.f64 (+.f64 #s(literal -64009/1000000 binary64) (.f64 x (.f64 x #s(literal 9/625 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x #s(literal 3/25 binary64)) #s(literal -253/1000 binary64))))
(.f64 #s(literal -1 binary64) (-.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) (/.f64 #s(literal -1 binary64) (+.f64 (.f64 x #s(literal 3/25 binary64)) #s(literal 253/1000 binary64)))))
(.f64 #s(literal -1 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x #s(literal 3/25 binary64)) #s(literal 253/1000 binary64))) #s(literal 1 binary64)))
(.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 27/15625 binary64)) #s(literal 16194277/1000000000 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 64009/1000000 binary64) (.f64 (.f64 x #s(literal 3/25 binary64)) (+.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 -64009/1000000 binary64) (.f64 x (.f64 x #s(literal 9/625 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x #s(literal 3/25 binary64)) #s(literal -253/1000 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -64009/1000000 binary64) (.f64 x (.f64 x #s(literal 9/625 binary64))))) #s(literal -1 binary64)))
(.f64 (-.f64 #s(literal 64009/1000000 binary64) (.f64 x (.f64 x #s(literal 9/625 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 253/1000 binary64) (.f64 #s(literal -3/25 binary64) x))))
(.f64 (/.f64 (+.f64 #s(literal -64009/1000000 binary64) (.f64 x (.f64 x #s(literal 9/625 binary64)))) (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 27/15625 binary64)) #s(literal -16194277/1000000000 binary64))) (-.f64 (+.f64 (.f64 x (.f64 x #s(literal 9/625 binary64))) #s(literal 64009/1000000 binary64)) (*.f64 x #s(literal -759/25000 binary64))))
(.f64 (/.f64 (+.f64 #s(literal -64009/1000000 binary64) (.f64 x (.f64 x #s(literal 9/625 binary64)))) (+.f64 #s(literal -64009/1000000 binary64) (.f64 x (.f64 x #s(literal 9/625 binary64))))) (+.f64 (.f64 x #s(literal 3/25 binary64)) #s(literal 253/1000 binary64)))
(.f64 (pow.f64 (+.f64 #s(literal -64009/1000000 binary64) (.f64 x (.f64 x #s(literal 9/625 binary64)))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x #s(literal 3/25 binary64)) #s(literal -253/1000 binary64))) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x #s(literal 3/25 binary64)) #s(literal -253/1000 binary64))) #s(literal 1 binary64)) (pow.f64 (+.f64 #s(literal -64009/1000000 binary64) (.f64 x (.f64 x #s(literal 9/625 binary64)))) #s(literal 1 binary64)))
(.f64 (pow.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 27/15625 binary64)) #s(literal 16194277/1000000000 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 64009/1000000 binary64) (.f64 (.f64 x #s(literal 3/25 binary64)) (+.f64 (*.f64 x #s(literal 3/25 binary64)) #s(literal -253/1000 binary64))))) #s(literal 1 binary64)))
(.f64 (pow.f64 (-.f64 #s(literal 64009/1000000 binary64) (.f64 x (.f64 x #s(literal 9/625 binary64)))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 253/1000 binary64) (.f64 #s(literal -3/25 binary64) x))) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 (+.f64 #s(literal -64009/1000000 binary64) (.f64 x (.f64 x #s(literal 9/625 binary64)))) (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 27/15625 binary64)) #s(literal -16194277/1000000000 binary64))) #s(literal 1 binary64)) (pow.f64 (-.f64 (+.f64 (.f64 x (.f64 x #s(literal 9/625 binary64))) #s(literal 64009/1000000 binary64)) (*.f64 x #s(literal -759/25000 binary64))) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 (+.f64 #s(literal -64009/1000000 binary64) (.f64 x (.f64 x #s(literal 9/625 binary64)))) (+.f64 #s(literal -64009/1000000 binary64) (.f64 x (.f64 x #s(literal 9/625 binary64))))) #s(literal 1 binary64)) (+.f64 (.f64 x #s(literal 3/25 binary64)) #s(literal 253/1000 binary64)))
(.f64 (pow.f64 (pow.f64 (+.f64 (.f64 x #s(literal 3/25 binary64)) #s(literal 253/1000 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 (*.f64 x #s(literal 3/25 binary64)) #s(literal 253/1000 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (+.f64 (.f64 x #s(literal 3/25 binary64)) #s(literal -253/1000 binary64)) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 729/244140625 binary64))) #s(literal -262254607552729/1000000000000000000 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 81/390625 binary64)) (-.f64 #s(literal 4097152081/1000000000000 binary64) (.f64 (.f64 x x) #s(literal -576081/625000000 binary64))))))
(.f64 (pow.f64 (/.f64 (+.f64 (.f64 x #s(literal 3/25 binary64)) #s(literal -253/1000 binary64)) (+.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 81/390625 binary64)) #s(literal -4097152081/1000000000000 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x #s(literal 9/625 binary64))) #s(literal 64009/1000000 binary64))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 27/15625 binary64)) #s(literal 16194277/1000000000 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 64009/1000000 binary64) (.f64 (.f64 x #s(literal 3/25 binary64)) (+.f64 (*.f64 x #s(literal 3/25 binary64)) #s(literal -253/1000 binary64))))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 64009/1000000 binary64) (.f64 x (.f64 x #s(literal 9/625 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 253/1000 binary64) (.f64 #s(literal -3/25 binary64) x))))
(+.f64 #s(literal -64009/1000000 binary64) (.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 x (.f64 x #s(literal 9/625 binary64))) #s(literal 64009/1000000 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 x (.f64 #s(literal 3/25 binary64) (.f64 x #s(literal 3/25 binary64))) #s(literal -64009/1000000 binary64))
(fma.f64 #s(literal 3/25 binary64) (.f64 x (.f64 x #s(literal 3/25 binary64))) #s(literal -64009/1000000 binary64))
(fma.f64 (.f64 x #s(literal 3/25 binary64)) (.f64 x #s(literal 3/25 binary64)) #s(literal -64009/1000000 binary64))
(fma.f64 (.f64 x (.f64 x #s(literal 3/25 binary64))) #s(literal 3/25 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))
(fma.f64 (*.f64 x x) #s(literal 9/625 binary64) #s(literal -64009/1000000 binary64))
(fma.f64 (.f64 (.f64 x #s(literal 3/25 binary64)) #s(literal 3/25 binary64)) x #s(literal -64009/1000000 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 81/390625 binary64)) (-.f64 #s(literal 4097152081/1000000000000 binary64) (.f64 (.f64 x x) #s(literal -576081/625000000 binary64)))) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 729/244140625 binary64))) #s(literal -262254607552729/1000000000000000000 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x (.f64 x #s(literal 9/625 binary64))) #s(literal 64009/1000000 binary64)) (+.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 81/390625 binary64)) #s(literal -4097152081/1000000000000 binary64))))
(/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 729/244140625 binary64))) #s(literal -262254607552729/1000000000000000000 binary64)) (+.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 81/390625 binary64)) (-.f64 #s(literal 4097152081/1000000000000 binary64) (.f64 (.f64 x x) #s(literal -576081/625000000 binary64)))))
(/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 729/244140625 binary64))) #s(literal -262254607552729/1000000000000000000 binary64)) (+.f64 #s(literal 4097152081/1000000000000 binary64) (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 81/390625 binary64)) (.f64 (.f64 x x) #s(literal -576081/625000000 binary64)))))
(/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 729/244140625 binary64))) #s(literal -262254607552729/1000000000000000000 binary64)) (+.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 81/390625 binary64)) (+.f64 #s(literal 4097152081/1000000000000 binary64) (.f64 (.f64 x (*.f64 x #s(literal 9/625 binary64))) #s(literal 64009/1000000 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 (neg.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 729/244140625 binary64))) #s(literal -262254607552729/1000000000000000000 binary64))) (neg.f64 (+.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 81/390625 binary64)) (-.f64 #s(literal 4097152081/1000000000000 binary64) (.f64 (.f64 x x) #s(literal -576081/625000000 binary64))))))
(/.f64 (neg.f64 (+.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 81/390625 binary64)) #s(literal -4097152081/1000000000000 binary64))) (neg.f64 (+.f64 (.f64 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 -64009/1000000 binary64) (.f64 x (.f64 x #s(literal 9/625 binary64)))))
(/.f64 (-.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 (+.f64 (.f64 x (.f64 x #s(literal 9/625 binary64))) #s(literal 64009/1000000 binary64)) #s(literal 4097152081/1000000000000 binary64))) (.f64 (+.f64 (.f64 x (.f64 x #s(literal 9/625 binary64))) #s(literal 64009/1000000 binary64)) (+.f64 (.f64 x (*.f64 x #s(literal 9/625 binary64))) #s(literal 64009/1000000 binary64))))
(pow.f64 (/.f64 (+.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 81/390625 binary64)) (-.f64 #s(literal 4097152081/1000000000000 binary64) (.f64 (.f64 x x) #s(literal -576081/625000000 binary64)))) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 729/244140625 binary64))) #s(literal -262254607552729/1000000000000000000 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (.f64 x (.f64 x #s(literal 9/625 binary64))) #s(literal 64009/1000000 binary64)) (+.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 81/390625 binary64)) #s(literal -4097152081/1000000000000 binary64))) #s(literal -1 binary64))
(.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 729/244140625 binary64))) #s(literal -262254607552729/1000000000000000000 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 81/390625 binary64)) (-.f64 #s(literal 4097152081/1000000000000 binary64) (.f64 (*.f64 x x) #s(literal -576081/625000000 binary64))))))
(.f64 (+.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 81/390625 binary64)) #s(literal -4097152081/1000000000000 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (*.f64 x #s(literal 9/625 binary64))) #s(literal 64009/1000000 binary64))))
(*.f64 x #s(literal 9/625 binary64))
(*.f64 #s(literal 9/625 binary64) x)
(exp.f64 (.f64 (log.f64 (.f64 x #s(literal 3/25 binary64))) #s(literal 2 binary64)))
(pow.f64 (*.f64 x #s(literal 3/25 binary64)) #s(literal 2 binary64))
(.f64 x (.f64 x #s(literal 9/625 binary64)))
(.f64 x (.f64 #s(literal 3/25 binary64) (*.f64 x #s(literal 3/25 binary64))))
(.f64 #s(literal 3/25 binary64) (.f64 x (*.f64 x #s(literal 3/25 binary64))))
(.f64 (.f64 x #s(literal 3/25 binary64)) (*.f64 x #s(literal 3/25 binary64)))
(.f64 (.f64 x (*.f64 x #s(literal 3/25 binary64))) #s(literal 3/25 binary64))
(.f64 #s(literal 9/625 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal 9/625 binary64)) x)
(.f64 (.f64 x x) #s(literal 9/625 binary64))
(.f64 (.f64 (*.f64 x #s(literal 3/25 binary64)) #s(literal 3/25 binary64)) x)

simplify227.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

2282×	`-lowering-.f32`
2282×	`-lowering-.f64`
1910×	`+-lowering-+.f64`
1910×	`+-lowering-+.f32`
1270×	`sum3-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	107	1037
1	314	888
2	755	868
3	1817	866
4	4782	866
0	8431	866

Stop Event

1×	iter limit
1×	node limit

Counts

192 → 192

Calls

Call 1

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

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

eval121.0ms (1.5%)

Compiler: Compiled 16175 to 1303 computations (91.9% saved)

prune55.0ms (0.7%)

Pruning

14 alts after pruning (11 fresh and 3 done)

	Pruned	Kept	Total
New	773	7	780
Fresh	2	4	6
Picked	3	2	5
Done	0	1	1
Total	778	14	792

Accuracy

100.0%

Counts

792 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(/.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))))))
▶	99.5%	(-.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 3/25 binary64))) (*.f64 x #s(literal 253/1000 binary64)))
	59.2%	(-.f64 (.f64 x (.f64 x #s(literal -3/25 binary64))) (*.f64 x #s(literal 253/1000 binary64)))
	99.7%	(-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (+.f64 (.f64 x #s(literal 3/25 binary64)) #s(literal -253/1000 binary64)) (+.f64 #s(literal -64009/1000000 binary64) (.f64 x (*.f64 x #s(literal 9/625 binary64)))))))
	96.9%	(-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 25/3 binary64) x)))
▶	96.9%	(-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3/25 binary64)))))
	99.5%	(-.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))))))
	97.3%	(-.f64 #s(literal 1 binary64) (.f64 x (/.f64 (.f64 x (.f64 x #s(literal 9/625 binary64))) (+.f64 (.f64 x #s(literal 3/25 binary64)) #s(literal -253/1000 binary64)))))
✓	99.9%	(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))
✓	42.2%	(-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 253/1000 binary64)))
▶	59.2%	(.f64 x (+.f64 #s(literal -253/1000 binary64) (.f64 x #s(literal -3/25 binary64))))
	58.3%	(.f64 x (.f64 x #s(literal -3/25 binary64)))
▶	3.7%	(*.f64 #s(literal -253/1000 binary64) x)
✓	40.3%	#s(literal 1 binary64)

Compiler

Compiled 266 to 199 computations (25.2% saved)

simplify116.0ms (1.5%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 (.f64 x x) #s(literal 3/25 binary64))
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 3/25 binary64)))
✓	cost-diff	128	(-.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 3/25 binary64))) (*.f64 x #s(literal 253/1000 binary64)))
✓	cost-diff	0	(*.f64 x #s(literal 3/25 binary64))
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3/25 binary64)))
✓	cost-diff	128	(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3/25 binary64))))
✓	cost-diff	128	(-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3/25 binary64)))))
✓	cost-diff	0	(*.f64 x #s(literal -3/25 binary64))
✓	cost-diff	0	(+.f64 #s(literal -253/1000 binary64) (*.f64 x #s(literal -3/25 binary64)))
✓	cost-diff	0	(.f64 x (+.f64 #s(literal -253/1000 binary64) (.f64 x #s(literal -3/25 binary64))))
✓	cost-diff	0	(*.f64 #s(literal -253/1000 binary64) x)
✓	cost-diff	0	(.f64 x (+.f64 (.f64 x #s(literal -3/25 binary64)) #s(literal -253/1000 binary64)))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x #s(literal -3/25 binary64)) #s(literal -253/1000 binary64))))
✓	cost-diff	0	(/.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)))))
✓	cost-diff	256	(/.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))))))

Rules

1378×	`fnmadd-define`
1074×	`fmsub-define`
980×	`fnmsub-define`
904×	`fma-define`
772×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	24	118
1	67	105
2	162	103
3	414	103
4	886	103
5	2029	103
6	3890	103
7	4354	103
8	4679	103
9	4804	103
10	4823	103
11	4831	103
0	4831	103

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize128.0ms (1.6%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 3/25 binary64)))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.9%	(*.f64 x #s(literal 253/1000 binary64))
✓	accuracy	99.4%	(.f64 (.f64 x x) #s(literal 3/25 binary64))
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3/25 binary64)))))
✓	accuracy	99.8%	(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3/25 binary64))))
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (*.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 #s(literal -253/1000 binary64) x)
✓	accuracy	99.9%	(/.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)))))
✓	accuracy	99.9%	(/.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))))))
✓	accuracy	99.8%	(.f64 x (+.f64 (.f64 x #s(literal -3/25 binary64)) #s(literal -253/1000 binary64)))
✓	accuracy	99.6%	(*.f64 x #s(literal -3/25 binary64))

Results

92.0ms

256×

valid

Compiler

Compiled 137 to 25 computations (81.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 57.0ms

...c/correct-round.rkt:119:19: 23.0ms (40.2% of total)

ival-mult: 19.0ms (33.2% of total)

ival-div: 7.0ms (12.2% of total)

ival-sub: 4.0ms (7% of total)

ival-add: 4.0ms (7% of total)

const: 0.0ms (0% of total)

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

series5.0ms (0.1%)

Counts

17 → 204

Calls

Call 1

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

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

Calls

51 calls:

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

rewrite366.0ms (4.7%)

Algorithm

1×	batch-egg-rewrite

Rules

3104×	`-lowering-.f32`
3104×	`-lowering-.f64`
2752×	`/-lowering-/.f32`
2752×	`/-lowering-/.f64`
2250×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	24	95
1	162	82
2	1428	80
0	8253	80

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 809

Calls

Call 1

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

Outputs
(+.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 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 x (+.f64 (.f64 x #s(literal -3/25 binary64)) #s(literal -253/1000 binary64)))) (fma.f64 #s(literal -253/1000 binary64) x (*.f64 x #s(literal 253/1000 binary64))))
(+.f64 (+.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 0 binary64) x) #s(literal 253/1000 binary64) (*.f64 x #s(literal 253/1000 binary64))))
(+.f64 (*.f64 x #s(literal -253/1000 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 25/3 binary64) x))))
(+.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 25/3 binary64) x))) (*.f64 x #s(literal -253/1000 binary64)))
(+.f64 (.f64 x (.f64 x #s(literal -3/25 binary64))) (+.f64 (*.f64 x #s(literal -253/1000 binary64)) #s(literal 1 binary64)))
(+.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -253/1000 binary64))) (.f64 x (*.f64 x #s(literal -3/25 binary64))))
(exp.f64 (log1p.f64 (.f64 x (+.f64 (.f64 x #s(literal -3/25 binary64)) #s(literal -253/1000 binary64)))))
(exp.f64 (.f64 (log1p.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 x #s(literal 3/25 binary64)) #s(literal 253/1000 binary64))))
(-.f64 #s(literal 1 binary64) (-.f64 (/.f64 x (/.f64 #s(literal 25/3 binary64) x)) (*.f64 x #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 #s(literal 25/3 binary64) x)) (*.f64 x #s(literal -253/1000 binary64))) #s(literal 1 binary64)))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 25/3 binary64) x))) (*.f64 x #s(literal 253/1000 binary64)))
(-.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)))) #s(literal -1 binary64)))
(-.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 25/3 binary64) x))) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 25/3 binary64) x))) (-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 25/3 binary64) x))))) (+.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 25/3 binary64) x))) (-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 25/3 binary64) x)))) (.f64 (.f64 x #s(literal 253/1000 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x #s(literal -3/25 binary64))) (.f64 x #s(literal 253/1000 binary64))))))) (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 16194277/1000000000 binary64)) (+.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 25/3 binary64) x))) (-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 25/3 binary64) x)))) (.f64 (.f64 x #s(literal 253/1000 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x #s(literal -3/25 binary64))) (*.f64 x #s(literal 253/1000 binary64))))))))
(-.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 25/3 binary64) x))) (-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 25/3 binary64) x)))) (+.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x #s(literal -3/25 binary64))) (.f64 x #s(literal 253/1000 binary64))))) (/.f64 (.f64 (.f64 x x) #s(literal 64009/1000000 binary64)) (+.f64 #s(literal 1 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 #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 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 25/3 binary64) x))) #s(literal 1 binary64)) (/.f64 (*.f64 x #s(literal 253/1000 binary64)) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 25/3 binary64) x))) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 25/3 binary64) x))) (-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 25/3 binary64) x))))) (+.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 25/3 binary64) x))) (-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 25/3 binary64) x)))) (.f64 (.f64 x #s(literal 253/1000 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x #s(literal -3/25 binary64))) (.f64 x #s(literal 253/1000 binary64))))))) #s(literal 1 binary64)) (/.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 16194277/1000000000 binary64)) (+.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 25/3 binary64) x))) (-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 25/3 binary64) x)))) (.f64 (.f64 x #s(literal 253/1000 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x #s(literal -3/25 binary64))) (*.f64 x #s(literal 253/1000 binary64))))))) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 25/3 binary64) x))) (-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 25/3 binary64) x)))) (+.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x #s(literal -3/25 binary64))) (.f64 x #s(literal 253/1000 binary64))))) #s(literal 1 binary64)) (/.f64 (/.f64 (.f64 (.f64 x x) #s(literal 64009/1000000 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x #s(literal -3/25 binary64))) (*.f64 x #s(literal 253/1000 binary64))))) #s(literal 1 binary64)))
(-.f64 (/.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))))) #s(literal 1 binary64)) (/.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))))) #s(literal 1 binary64)))
(-.f64 (/.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)))))) (/.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 #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 (.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 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 (.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 #s(literal 25/3 binary64) x))) (-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 25/3 binary64) x)))) (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 25/3 binary64) x))) (.f64 x #s(literal -253/1000 binary64)))) (/.f64 (.f64 (.f64 x x) #s(literal 64009/1000000 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 25/3 binary64) x))) (*.f64 x #s(literal -253/1000 binary64)))))
(-.f64 (/.f64 (.f64 (.f64 x (+.f64 (.f64 x #s(literal -3/25 binary64)) #s(literal -253/1000 binary64))) (.f64 x (+.f64 (.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))) #s(literal 1 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))))))
(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 x (.f64 x #s(literal -3/25 binary64)) (+.f64 (.f64 x #s(literal -253/1000 binary64)) #s(literal 1 binary64)))
(fma.f64 x #s(literal -253/1000 binary64) (-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 25/3 binary64) x))))
(fma.f64 x (+.f64 (*.f64 x #s(literal -3/25 binary64)) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal -3/25 binary64) (.f64 x x) (+.f64 (.f64 x #s(literal -253/1000 binary64)) #s(literal 1 binary64)))
(fma.f64 (.f64 x #s(literal -3/25 binary64)) x (+.f64 (.f64 x #s(literal -253/1000 binary64)) #s(literal 1 binary64)))
(fma.f64 #s(literal -253/1000 binary64) x (-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 25/3 binary64) x))))
(fma.f64 (+.f64 (*.f64 x #s(literal -3/25 binary64)) #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(fma.f64 (.f64 x (+.f64 (.f64 x #s(literal -3/25 binary64)) #s(literal -253/1000 binary64))) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 3/25 binary64) (-.f64 #s(literal 0 binary64) (.f64 x x)) (+.f64 (.f64 x #s(literal -253/1000 binary64)) #s(literal 1 binary64)))
(fma.f64 (.f64 x x) #s(literal -3/25 binary64) (+.f64 (.f64 x #s(literal -253/1000 binary64)) #s(literal 1 binary64)))
(fma.f64 #s(literal 253/1000 binary64) (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 25/3 binary64) x))))
(fma.f64 #s(literal -1 binary64) (/.f64 x (/.f64 #s(literal 25/3 binary64) x)) (+.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 #s(literal 25/3 binary64) x))))
(fma.f64 (-.f64 #s(literal 0 binary64) x) (.f64 x #s(literal 3/25 binary64)) (+.f64 (.f64 x #s(literal -253/1000 binary64)) #s(literal 1 binary64)))
(fma.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 253/1000 binary64) (-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 25/3 binary64) x))))
(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 #s(literal 25/3 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 25/3 binary64) x)))))) (.f64 x #s(literal -253/1000 binary64)))
(fma.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9/625 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 25/3 binary64) x)))) (*.f64 x #s(literal -253/1000 binary64)))
(fma.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) #s(literal 3/25 binary64) (+.f64 (.f64 x #s(literal -253/1000 binary64)) #s(literal 1 binary64)))
(fma.f64 (.f64 #s(literal 1 binary64) x) (+.f64 (.f64 x #s(literal -3/25 binary64)) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 #s(literal 1 binary64) (+.f64 (.f64 x #s(literal -3/25 binary64)) #s(literal -253/1000 binary64))) x #s(literal 1 binary64))
(neg.f64 (-.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 #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))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 25/3 binary64) x))) (-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 25/3 binary64) x)))) (.f64 (.f64 x #s(literal 253/1000 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x #s(literal -3/25 binary64))) (.f64 x #s(literal 253/1000 binary64)))))) (+.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 25/3 binary64) x))) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 25/3 binary64) x))) (-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 25/3 binary64) x))))) (.f64 #s(literal -16194277/1000000000 binary64) (.f64 x (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 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 x #s(literal -3/25 binary64))) (.f64 x #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 #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 (.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))) (.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)))) (-.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 x #s(literal -3/25 binary64)) #s(literal -253/1000 binary64)))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #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 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 25/3 binary64) x))) (-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 25/3 binary64) x)))) (.f64 (.f64 x #s(literal 253/1000 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x #s(literal -3/25 binary64))) (.f64 x #s(literal 253/1000 binary64)))))) (+.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 25/3 binary64) x))) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 25/3 binary64) x))) (-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 25/3 binary64) x))))) (.f64 #s(literal -16194277/1000000000 binary64) (.f64 x (*.f64 x x)))))))
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(.f64 (pow.f64 (.f64 (+.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 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 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x #s(literal -3/25 binary64))) (.f64 x #s(literal 253/1000 binary64))))) #s(literal 1 binary64)))
(.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x #s(literal -3/25 binary64)) #s(literal -253/1000 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (*.f64 x #s(literal -3/25 binary64)) #s(literal -253/1000 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x #s(literal -3/25 binary64)) #s(literal -253/1000 binary64)))) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (*.f64 x #s(literal -3/25 binary64)) #s(literal -253/1000 binary64)))) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(.f64 (pow.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))) (.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 #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 (pow.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 x (+.f64 (.f64 x #s(literal -3/25 binary64)) #s(literal -253/1000 binary64)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x #s(literal -3/25 binary64)) #s(literal -253/1000 binary64))))))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -3/25 binary64))))
(+.f64 (.f64 x (.f64 x #s(literal -3/25 binary64))) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 25/3 binary64) x)))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 x (/.f64 #s(literal 25/3 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 25/3 binary64) x)))))) (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 27/15625 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 x (/.f64 #s(literal 25/3 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 25/3 binary64) x)))))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 25/3 binary64) x)))) (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9/625 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 25/3 binary64) x)))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -3/25 binary64))))) (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9/625 binary64))) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -3/25 binary64))))))
(fma.f64 x (*.f64 x #s(literal -3/25 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal -3/25 binary64) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (*.f64 x #s(literal -3/25 binary64)) x #s(literal 1 binary64))
(fma.f64 #s(literal 3/25 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal -3/25 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 x (/.f64 #s(literal 25/3 binary64) x)) #s(literal 1 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 x #s(literal 3/25 binary64)) #s(literal 1 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal 3/25 binary64) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 x (/.f64 #s(literal 25/3 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 25/3 binary64) x))))) (-.f64 #s(literal 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 (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 25/3 binary64) x))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9/625 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 x (/.f64 #s(literal 25/3 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 25/3 binary64) x))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (*.f64 x x)) #s(literal 27/15625 binary64)))))))
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(/.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 (/.f64 x (/.f64 #s(literal 25/3 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 25/3 binary64) x))))))
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(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9/625 binary64))))) (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 25/3 binary64) x)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9/625 binary64))))) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -3/25 binary64))))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 x (/.f64 #s(literal 25/3 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 25/3 binary64) x)))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 x (/.f64 #s(literal 25/3 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 25/3 binary64) x))))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 27/15625 binary64))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 x (/.f64 #s(literal 25/3 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 25/3 binary64) x))))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (/.f64 #s(literal 25/3 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 25/3 binary64) x)))))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 25/3 binary64) x)))) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 25/3 binary64) x))) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9/625 binary64))))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 25/3 binary64) x))) (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 25/3 binary64) x)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 27/15625 binary64)))))) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (/.f64 #s(literal 25/3 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 25/3 binary64) x))))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9/625 binary64)))))) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 25/3 binary64) x))))))
(/.f64 (+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -27/15625 binary64)) (.f64 x (.f64 x x))) #s(literal 1 binary64)) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9/625 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (*.f64 x #s(literal -3/25 binary64))) #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 x (/.f64 #s(literal 25/3 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 25/3 binary64) x)))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 27/15625 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 x (/.f64 #s(literal 25/3 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 25/3 binary64) x)))))) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 x (/.f64 #s(literal 25/3 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 25/3 binary64) x)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 x (/.f64 #s(literal 25/3 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 25/3 binary64) x))))))) (+.f64 (.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 27/15625 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 x (/.f64 #s(literal 25/3 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 25/3 binary64) x)))))) (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 27/15625 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 x (/.f64 #s(literal 25/3 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 25/3 binary64) x))))))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 x (/.f64 #s(literal 25/3 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 25/3 binary64) x)))))) (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 27/15625 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (/.f64 #s(literal 25/3 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 25/3 binary64) x))))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 25/3 binary64) x)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9/625 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 25/3 binary64) x)))) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 25/3 binary64) x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 25/3 binary64) x))))) (+.f64 (.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9/625 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 25/3 binary64) x)))) (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9/625 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 25/3 binary64) x))))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 25/3 binary64) x)))) (/.f64 (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 9/625 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 25/3 binary64) x))))))))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 x (/.f64 #s(literal 25/3 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 25/3 binary64) x))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (*.f64 x x)) #s(literal 27/15625 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 25/3 binary64) x))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9/625 binary64))))) #s(literal -1 binary64))
(.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 #s(literal 25/3 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 25/3 binary64) x)))))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 9/625 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 25/3 binary64) x)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 #s(literal 25/3 binary64) x) x)) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 25/3 binary64) x))) (.f64 x (.f64 x #s(literal -3/25 binary64))))
(neg.f64 (.f64 x (.f64 x #s(literal -3/25 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 25/3 binary64) x) x))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 #s(literal 25/3 binary64) x) x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (/.f64 #s(literal 25/3 binary64) x) x))))
(/.f64 x (/.f64 #s(literal 25/3 binary64) x))
(/.f64 (/.f64 x (/.f64 #s(literal 25/3 binary64) x)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal 25/3 binary64) x) x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (/.f64 #s(literal 25/3 binary64) x) x) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 25/3 binary64) x)))
(/.f64 (.f64 x (.f64 x #s(literal -3/25 binary64))) #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 25/3 binary64) x))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 25/3 binary64) x)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal 25/3 binary64) x))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 25/3 binary64) x)))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x))) (/.f64 #s(literal 25/3 binary64) x))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x))) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 25/3 binary64) x)))
(pow.f64 (/.f64 (/.f64 #s(literal 25/3 binary64) x) x) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (/.f64 #s(literal 25/3 binary64) x) x) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 25/3 binary64) x)))
(.f64 x (.f64 x #s(literal 3/25 binary64)))
(*.f64 x (/.f64 x #s(literal 25/3 binary64)))
(.f64 #s(literal 3/25 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal 3/25 binary64)) x)
(.f64 (.f64 x x) #s(literal 3/25 binary64))
(*.f64 (/.f64 x (/.f64 #s(literal 25/3 binary64) x)) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (.f64 x (*.f64 x #s(literal -3/25 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 25/3 binary64) x)))
(.f64 (.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 3/25 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3/25 binary64))
(.f64 (/.f64 x #s(literal -1 binary64)) (.f64 x #s(literal -3/25 binary64)))
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 25/3 binary64) x)))
(*.f64 (/.f64 x #s(literal 25/3 binary64)) x)
(.f64 (/.f64 x (pow.f64 (.f64 x #s(literal 3/25 binary64)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x #s(literal 3/25 binary64)) #s(literal -1/2 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (.f64 x #s(literal 3/25 binary64)) #s(literal -1/2 binary64))) (/.f64 x (pow.f64 (*.f64 x #s(literal 3/25 binary64)) #s(literal -1/2 binary64))))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(/.f64 x (/.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 #s(literal 0 binary64) x) (neg.f64 (/.f64 #s(literal 1 binary64) x)))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(*.f64 x x)
(.f64 (.f64 x x) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) x))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 x #s(literal 253/1000 binary64))
(*.f64 #s(literal 253/1000 binary64) x)

simplify184.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

1784×	`-lowering-.f32`
1784×	`-lowering-.f64`
1650×	`fnmsub-define`
1196×	`sum3-define`
1080×	`--lowering--.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	86	1113
1	257	964
2	701	886
3	1707	884
4	4529	884
0	8218	884

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 204

Calls

Call 1

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

Outputs
1
#s(literal 1 binary64)
(+ 1 (* -253/1000 x))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -253/1000 binary64)))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x #s(literal -3/25 binary64)) #s(literal -253/1000 binary64))))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x #s(literal -3/25 binary64)) #s(literal -253/1000 binary64))))
(* -3/25 (pow x 2))
(.f64 x (.f64 x #s(literal -3/25 binary64)))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(.f64 x (+.f64 (.f64 x #s(literal -3/25 binary64)) #s(literal -253/1000 binary64)))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x #s(literal -3/25 binary64)) #s(literal -253/1000 binary64))))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x #s(literal -3/25 binary64)) #s(literal -253/1000 binary64))))
(* -3/25 (pow x 2))
(.f64 x (.f64 x #s(literal -3/25 binary64)))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(.f64 x (+.f64 (.f64 x #s(literal -3/25 binary64)) #s(literal -253/1000 binary64)))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x #s(literal -3/25 binary64)) #s(literal -253/1000 binary64))))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x #s(literal -3/25 binary64)) #s(literal -253/1000 binary64))))
1
#s(literal 1 binary64)
(+ 1 (* 253/1000 x))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 253/1000 binary64)))
(+ 1 (* x (+ 253/1000 (* 184009/1000000 x))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 184009/1000000 binary64)))))
(+ 1 (* x (+ 253/1000 (* x (+ 184009/1000000 (* 76914277/1000000000 x))))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x (+.f64 #s(literal 184009/1000000 binary64) (*.f64 x #s(literal 76914277/1000000000 binary64)))))))
(/ -25/3 (pow x 2))
(/.f64 #s(literal -25/3 binary64) (*.f64 x x))
(/ (- (* 1265/72 (/ 1 x)) 25/3) (pow x 2))
(/.f64 (+.f64 #s(literal -25/3 binary64) (/.f64 #s(literal 1265/72 binary64) x)) (*.f64 x x))
(/ (- (* 1265/72 (/ 1 x)) (+ 25/3 (/ 184009/1728 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal -25/3 binary64) (/.f64 (+.f64 #s(literal 1265/72 binary64) (/.f64 #s(literal -184009/1728 binary64) x)) x)) (*.f64 x x))
(/ (- (+ (* 1265/72 (/ 1 x)) (* 76914277/207360 (/ 1 (pow x 3)))) (+ 25/3 (/ 184009/1728 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal -25/3 binary64) (/.f64 (+.f64 #s(literal 1265/72 binary64) (/.f64 (+.f64 (/.f64 #s(literal 76914277/207360 binary64) x) #s(literal -184009/1728 binary64)) x)) x)) (*.f64 x x))
(/ -25/3 (pow x 2))
(/.f64 #s(literal -25/3 binary64) (*.f64 x x))
(/ (- (* 1265/72 (/ 1 x)) 25/3) (pow x 2))
(/.f64 (+.f64 #s(literal -25/3 binary64) (/.f64 #s(literal 1265/72 binary64) x)) (*.f64 x x))
(/ (- (* -1 (/ (- (* 184009/1728 (/ 1 x)) 1265/72) x)) 25/3) (pow x 2))
(/.f64 (+.f64 #s(literal -25/3 binary64) (/.f64 (+.f64 #s(literal 1265/72 binary64) (/.f64 #s(literal -184009/1728 binary64) x)) x)) (*.f64 x x))
(/ (- (* -1 (/ (- (* -1 (/ (- (* 76914277/207360 (/ 1 x)) 184009/1728) x)) 1265/72) x)) 25/3) (pow x 2))
(/.f64 (+.f64 #s(literal -25/3 binary64) (/.f64 (+.f64 #s(literal 1265/72 binary64) (/.f64 (+.f64 (/.f64 #s(literal 76914277/207360 binary64) x) #s(literal -184009/1728 binary64)) x)) x)) (*.f64 x x))
1
#s(literal 1 binary64)
(+ 1 (* -253/1000 x))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -253/1000 binary64)))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x #s(literal -3/25 binary64)) #s(literal -253/1000 binary64))))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x #s(literal -3/25 binary64)) #s(literal -253/1000 binary64))))
(* -3/25 (pow x 2))
(.f64 x (.f64 x #s(literal -3/25 binary64)))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(.f64 x (+.f64 (.f64 x #s(literal -3/25 binary64)) #s(literal -253/1000 binary64)))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x #s(literal -3/25 binary64)) #s(literal -253/1000 binary64))))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x #s(literal -3/25 binary64)) #s(literal -253/1000 binary64))))
(* -3/25 (pow x 2))
(.f64 x (.f64 x #s(literal -3/25 binary64)))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(.f64 x (+.f64 (.f64 x #s(literal -3/25 binary64)) #s(literal -253/1000 binary64)))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x #s(literal -3/25 binary64)) #s(literal -253/1000 binary64))))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x #s(literal -3/25 binary64)) #s(literal -253/1000 binary64))))
(* -253/1000 x)
(*.f64 x #s(literal -253/1000 binary64))
(* x (- (* -3/25 x) 253/1000))
(.f64 x (+.f64 (.f64 x #s(literal -3/25 binary64)) #s(literal -253/1000 binary64)))
(* x (- (* -3/25 x) 253/1000))
(.f64 x (+.f64 (.f64 x #s(literal -3/25 binary64)) #s(literal -253/1000 binary64)))
(* x (- (* -3/25 x) 253/1000))
(.f64 x (+.f64 (.f64 x #s(literal -3/25 binary64)) #s(literal -253/1000 binary64)))
(* -3/25 (pow x 2))
(.f64 x (.f64 x #s(literal -3/25 binary64)))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(.f64 x (+.f64 (.f64 x #s(literal -3/25 binary64)) #s(literal -253/1000 binary64)))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(.f64 x (+.f64 (.f64 x #s(literal -3/25 binary64)) #s(literal -253/1000 binary64)))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(.f64 x (+.f64 (.f64 x #s(literal -3/25 binary64)) #s(literal -253/1000 binary64)))
(* -3/25 (pow x 2))
(.f64 x (.f64 x #s(literal -3/25 binary64)))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(.f64 x (+.f64 (.f64 x #s(literal -3/25 binary64)) #s(literal -253/1000 binary64)))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(.f64 x (+.f64 (.f64 x #s(literal -3/25 binary64)) #s(literal -253/1000 binary64)))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(.f64 x (+.f64 (.f64 x #s(literal -3/25 binary64)) #s(literal -253/1000 binary64)))
(* -253/1000 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 (.f64 x #s(literal -3/25 binary64)) #s(literal -253/1000 binary64)))
(* x (- (* -3/25 x) 253/1000))
(.f64 x (+.f64 (.f64 x #s(literal -3/25 binary64)) #s(literal -253/1000 binary64)))
(* x (- (* -3/25 x) 253/1000))
(.f64 x (+.f64 (.f64 x #s(literal -3/25 binary64)) #s(literal -253/1000 binary64)))
(* -3/25 (pow x 2))
(.f64 x (.f64 x #s(literal -3/25 binary64)))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(.f64 x (+.f64 (.f64 x #s(literal -3/25 binary64)) #s(literal -253/1000 binary64)))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(.f64 x (+.f64 (.f64 x #s(literal -3/25 binary64)) #s(literal -253/1000 binary64)))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(.f64 x (+.f64 (.f64 x #s(literal -3/25 binary64)) #s(literal -253/1000 binary64)))
(* -3/25 (pow x 2))
(.f64 x (.f64 x #s(literal -3/25 binary64)))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(.f64 x (+.f64 (.f64 x #s(literal -3/25 binary64)) #s(literal -253/1000 binary64)))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(.f64 x (+.f64 (.f64 x #s(literal -3/25 binary64)) #s(literal -253/1000 binary64)))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(.f64 x (+.f64 (.f64 x #s(literal -3/25 binary64)) #s(literal -253/1000 binary64)))
-253/1000
#s(literal -253/1000 binary64)
(- (* -3/25 x) 253/1000)
(+.f64 (*.f64 x #s(literal -3/25 binary64)) #s(literal -253/1000 binary64))
(- (* -3/25 x) 253/1000)
(+.f64 (*.f64 x #s(literal -3/25 binary64)) #s(literal -253/1000 binary64))
(- (* -3/25 x) 253/1000)
(+.f64 (*.f64 x #s(literal -3/25 binary64)) #s(literal -253/1000 binary64))
(* -3/25 x)
(*.f64 x #s(literal -3/25 binary64))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(+.f64 (*.f64 x #s(literal -3/25 binary64)) #s(literal -253/1000 binary64))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(+.f64 (*.f64 x #s(literal -3/25 binary64)) #s(literal -253/1000 binary64))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(+.f64 (*.f64 x #s(literal -3/25 binary64)) #s(literal -253/1000 binary64))
(* -3/25 x)
(*.f64 x #s(literal -3/25 binary64))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(+.f64 (*.f64 x #s(literal -3/25 binary64)) #s(literal -253/1000 binary64))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(+.f64 (*.f64 x #s(literal -3/25 binary64)) #s(literal -253/1000 binary64))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(+.f64 (*.f64 x #s(literal -3/25 binary64)) #s(literal -253/1000 binary64))
(* -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))
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))))
(* 3/25 (pow x 2))
(.f64 (.f64 x x) #s(literal 3/25 binary64))
(* 3/25 (pow x 2))
(.f64 (.f64 x x) #s(literal 3/25 binary64))
(* 3/25 (pow x 2))
(.f64 (.f64 x x) #s(literal 3/25 binary64))
(* 3/25 (pow x 2))
(.f64 (.f64 x x) #s(literal 3/25 binary64))
(* 3/25 (pow x 2))
(.f64 (.f64 x x) #s(literal 3/25 binary64))
(* 3/25 (pow x 2))
(.f64 (.f64 x x) #s(literal 3/25 binary64))
(* 3/25 (pow x 2))
(.f64 (.f64 x x) #s(literal 3/25 binary64))
(* 3/25 (pow x 2))
(.f64 (.f64 x x) #s(literal 3/25 binary64))
(* 3/25 (pow x 2))
(.f64 (.f64 x x) #s(literal 3/25 binary64))
(* 3/25 (pow x 2))
(.f64 (.f64 x x) #s(literal 3/25 binary64))
(* 3/25 (pow x 2))
(.f64 (.f64 x x) #s(literal 3/25 binary64))
(* 3/25 (pow x 2))
(.f64 (.f64 x x) #s(literal 3/25 binary64))
(/ 25/3 x)
(/.f64 #s(literal 25/3 binary64) x)
(/ 25/3 x)
(/.f64 #s(literal 25/3 binary64) x)
(/ 25/3 x)
(/.f64 #s(literal 25/3 binary64) x)
(/ 25/3 x)
(/.f64 #s(literal 25/3 binary64) x)
(/ 25/3 x)
(/.f64 #s(literal 25/3 binary64) x)
(/ 25/3 x)
(/.f64 #s(literal 25/3 binary64) x)
(/ 25/3 x)
(/.f64 #s(literal 25/3 binary64) x)
(/ 25/3 x)
(/.f64 #s(literal 25/3 binary64) x)
(/ 25/3 x)
(/.f64 #s(literal 25/3 binary64) x)
(/ 25/3 x)
(/.f64 #s(literal 25/3 binary64) x)
(/ 25/3 x)
(/.f64 #s(literal 25/3 binary64) x)
(/ 25/3 x)
(/.f64 #s(literal 25/3 binary64) x)
(* 3/25 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))
1
#s(literal 1 binary64)
(+ 1 (* -253/1000 x))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -253/1000 binary64)))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x #s(literal -3/25 binary64)) #s(literal -253/1000 binary64))))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x #s(literal -3/25 binary64)) #s(literal -253/1000 binary64))))
(* -3/25 (pow x 2))
(.f64 x (.f64 x #s(literal -3/25 binary64)))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(.f64 x (+.f64 (.f64 x #s(literal -3/25 binary64)) #s(literal -253/1000 binary64)))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x #s(literal -3/25 binary64)) #s(literal -253/1000 binary64))))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x #s(literal -3/25 binary64)) #s(literal -253/1000 binary64))))
(* -3/25 (pow x 2))
(.f64 x (.f64 x #s(literal -3/25 binary64)))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(.f64 x (+.f64 (.f64 x #s(literal -3/25 binary64)) #s(literal -253/1000 binary64)))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x #s(literal -3/25 binary64)) #s(literal -253/1000 binary64))))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x #s(literal -3/25 binary64)) #s(literal -253/1000 binary64))))
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))))
(* 3/25 (pow x 2))
(.f64 (.f64 x x) #s(literal 3/25 binary64))
(* 3/25 (pow x 2))
(.f64 (.f64 x x) #s(literal 3/25 binary64))
(* 3/25 (pow x 2))
(.f64 (.f64 x x) #s(literal 3/25 binary64))
(* 3/25 (pow x 2))
(.f64 (.f64 x x) #s(literal 3/25 binary64))
(* 3/25 (pow x 2))
(.f64 (.f64 x x) #s(literal 3/25 binary64))
(* 3/25 (pow x 2))
(.f64 (.f64 x x) #s(literal 3/25 binary64))
(* 3/25 (pow x 2))
(.f64 (.f64 x x) #s(literal 3/25 binary64))
(* 3/25 (pow x 2))
(.f64 (.f64 x x) #s(literal 3/25 binary64))
(* 3/25 (pow x 2))
(.f64 (.f64 x x) #s(literal 3/25 binary64))
(* 3/25 (pow x 2))
(.f64 (.f64 x x) #s(literal 3/25 binary64))
(* 3/25 (pow x 2))
(.f64 (.f64 x x) #s(literal 3/25 binary64))
(* 3/25 (pow x 2))
(.f64 (.f64 x x) #s(literal 3/25 binary64))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* 253/1000 x)
(*.f64 x #s(literal 253/1000 binary64))
(* 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))

eval129.0ms (1.6%)

Compiler: Compiled 25979 to 1758 computations (93.2% saved)

prune88.0ms (1.1%)

Pruning

15 alts after pruning (9 fresh and 6 done)

	Pruned	Kept	Total
New	1027	6	1033
Fresh	3	3	6
Picked	2	3	5
Done	0	3	3
Total	1032	15	1047

Accuracy

100.0%

Counts

1047 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	51.3%	(/.f64 (.f64 (-.f64 #s(literal 64009/1000000 binary64) (.f64 (.f64 x x) #s(literal 9/625 binary64))) x) (+.f64 #s(literal -253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))
	57.9%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -25/3 binary64) (*.f64 x x)))
▶	99.5%	(-.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3/25 binary64))) (.f64 x #s(literal 253/1000 binary64)))
▶	99.5%	(-.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) #s(literal 3/25 binary64))) (.f64 x #s(literal 253/1000 binary64)))
✓	99.5%	(-.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 3/25 binary64))) (*.f64 x #s(literal 253/1000 binary64)))
	59.2%	(-.f64 (.f64 x (.f64 x #s(literal -3/25 binary64))) (*.f64 x #s(literal 253/1000 binary64)))
▶	96.9%	(-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3/25 binary64))))
▶	96.9%	(-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 25/3 binary64) x)))
	96.6%	(-.f64 #s(literal 1 binary64) (.f64 (.f64 x 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)))))
✓	42.2%	(-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 253/1000 binary64)))
✓	59.2%	(.f64 x (+.f64 #s(literal -253/1000 binary64) (.f64 x #s(literal -3/25 binary64))))
▶	58.3%	(.f64 x (.f64 x #s(literal -3/25 binary64)))
✓	3.7%	(*.f64 #s(literal -253/1000 binary64) x)
✓	40.3%	#s(literal 1 binary64)

Compiler

Compiled 226 to 169 computations (25.2% saved)

simplify107.0ms (1.4%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	128	(/.f64 x (/.f64 #s(literal 1 binary64) x))
✓	cost-diff	128	(*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) #s(literal 3/25 binary64))
✓	cost-diff	128	(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) #s(literal 3/25 binary64)))
✓	cost-diff	256	(-.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) #s(literal 3/25 binary64))) (.f64 x #s(literal 253/1000 binary64)))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) x)
✓	cost-diff	128	(/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3/25 binary64))
✓	cost-diff	128	(/.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3/25 binary64)))
✓	cost-diff	128	(-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3/25 binary64))))
✓	cost-diff	0	(/.f64 #s(literal 25/3 binary64) x)
✓	cost-diff	0	(/.f64 x (/.f64 #s(literal 25/3 binary64) x))
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 25/3 binary64) x)))
✓	cost-diff	0	(*.f64 x #s(literal -3/25 binary64))
✓	cost-diff	0	(.f64 x (.f64 x #s(literal -3/25 binary64)))
✓	cost-diff	6336	(pow.f64 x #s(literal 2 binary64))
✓	cost-diff	6336	(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3/25 binary64))
✓	cost-diff	6336	(-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3/25 binary64)))
✓	cost-diff	6464	(-.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3/25 binary64))) (.f64 x #s(literal 253/1000 binary64)))

Rules

1208×	`fnmadd-define`
940×	`fmsub-define`
896×	`fnmsub-define`
770×	`fma-define`
740×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	25	117
1	68	102
2	168	96
3	401	94
4	814	94
5	1657	94
6	3266	94
7	3817	94
8	4129	94
9	4195	94
0	4195	94

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize121.0ms (1.5%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) #s(literal 3/25 binary64)))
✓	accuracy	99.9%	(*.f64 x #s(literal 253/1000 binary64))
✓	accuracy	99.8%	(/.f64 x (/.f64 #s(literal 1 binary64) x))
✓	accuracy	99.4%	(*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) #s(literal 3/25 binary64))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3/25 binary64))))
✓	accuracy	99.8%	(/.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3/25 binary64)))
✓	accuracy	99.6%	(/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3/25 binary64))
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 25/3 binary64) x)))
✓	accuracy	99.8%	(/.f64 x (/.f64 #s(literal 25/3 binary64) x))
✓	accuracy	99.3%	(/.f64 #s(literal 25/3 binary64) x)
✓	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 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3/25 binary64)))
✓	accuracy	100.0%	(pow.f64 x #s(literal 2 binary64))
✓	accuracy	99.9%	(*.f64 x #s(literal 253/1000 binary64))
✓	accuracy	99.4%	(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3/25 binary64))

Results

82.0ms

256×

valid

Compiler

Compiled 135 to 26 computations (80.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 48.0ms

...c/correct-round.rkt:119:19: 16.0ms (33.3% of total)

ival-div: 11.0ms (22.9% of total)

ival-mult: 9.0ms (18.7% of total)

ival-sub: 8.0ms (16.6% of total)

ival-pow: 4.0ms (8.3% of total)

const: 1.0ms (2.1% of total)

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

series4.0ms (0%)

Counts

18 → 216

Calls

Call 1

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

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

Calls

54 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(* x (* x -3/25))
0.0ms	x	@	0	(* x (* x -3/25))
0.0ms	x	@	-inf	(/ 1 x)
0.0ms	x	@	0	(/ 1 x)
0.0ms	x	@	0	(- (- 1 (* (pow x 2) 3/25)) (* x 253/1000))

rewrite308.0ms (3.9%)

Algorithm

1×	batch-egg-rewrite

Rules

3944×	`-lowering-.f32`
3944×	`-lowering-.f64`
3316×	`/-lowering-/.f32`
3316×	`/-lowering-/.f64`
2120×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	25	95
1	177	80
2	1533	74
0	8331	74

Stop Event

1×	iter limit
1×	node limit

Counts

18 → 693

Calls

Call 1

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

Outputs
(+.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x (+.f64 (/.f64 x #s(literal 25/3 binary64)) #s(literal 253/1000 binary64)))))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (/.f64 #s(literal -25/3 binary64) x)) (*.f64 x #s(literal -253/1000 binary64))))
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal -25/3 binary64) x))) (*.f64 x #s(literal -253/1000 binary64)))
(+.f64 (-.f64 #s(literal 1 binary64) (.f64 x (+.f64 (/.f64 x #s(literal 25/3 binary64)) #s(literal 253/1000 binary64)))) (fma.f64 #s(literal -253/1000 binary64) x (.f64 x #s(literal 253/1000 binary64))))
(+.f64 (-.f64 #s(literal 1 binary64) (.f64 x (+.f64 (/.f64 x #s(literal 25/3 binary64)) #s(literal 253/1000 binary64)))) (fma.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 253/1000 binary64) (.f64 x #s(literal 253/1000 binary64))))
(+.f64 (*.f64 x #s(literal -253/1000 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal -25/3 binary64) x))))
(-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 x #s(literal 25/3 binary64)) #s(literal 253/1000 binary64))))
(-.f64 #s(literal 1 binary64) (-.f64 (/.f64 x (/.f64 #s(literal 25/3 binary64) x)) (*.f64 x #s(literal -253/1000 binary64))))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal -25/3 binary64) x))) (*.f64 x #s(literal 253/1000 binary64)))
(-.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal -25/3 binary64) x))) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal -25/3 binary64) x))) (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal -25/3 binary64) x))))) (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal -25/3 binary64) x))) (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal -25/3 binary64) x)))) (.f64 (.f64 x #s(literal 253/1000 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal -25/3 binary64) x))) (.f64 x #s(literal 253/1000 binary64)))))) (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 16194277/1000000000 binary64)) (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal -25/3 binary64) x))) (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal -25/3 binary64) x)))) (.f64 (.f64 x #s(literal 253/1000 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal -25/3 binary64) x))) (*.f64 x #s(literal 253/1000 binary64)))))))
(-.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal -25/3 binary64) x))) (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal -25/3 binary64) x)))) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal -25/3 binary64) x))) (.f64 x #s(literal 253/1000 binary64)))) (/.f64 (.f64 (.f64 x x) #s(literal 64009/1000000 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal -25/3 binary64) x))) (*.f64 x #s(literal 253/1000 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x (+.f64 (/.f64 x #s(literal 25/3 binary64)) #s(literal 253/1000 binary64))) (.f64 x (+.f64 (/.f64 x #s(literal 25/3 binary64)) #s(literal 253/1000 binary64)))) (.f64 #s(literal 1 binary64) (.f64 x (+.f64 (/.f64 x #s(literal 25/3 binary64)) #s(literal 253/1000 binary64))))))) (/.f64 (.f64 (.f64 x (+.f64 (/.f64 x #s(literal 25/3 binary64)) #s(literal 253/1000 binary64))) (.f64 (.f64 x (+.f64 (/.f64 x #s(literal 25/3 binary64)) #s(literal 253/1000 binary64))) (.f64 x (+.f64 (/.f64 x #s(literal 25/3 binary64)) #s(literal 253/1000 binary64))))) (+.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x (+.f64 (/.f64 x #s(literal 25/3 binary64)) #s(literal 253/1000 binary64))) (.f64 x (+.f64 (/.f64 x #s(literal 25/3 binary64)) #s(literal 253/1000 binary64)))) (.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 x #s(literal 25/3 binary64)) #s(literal 253/1000 binary64))))))))
(-.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal -25/3 binary64) x))) (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal -25/3 binary64) x)))) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal -25/3 binary64) x))) (.f64 x #s(literal -253/1000 binary64)))) (/.f64 (.f64 (.f64 x x) #s(literal 64009/1000000 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal -25/3 binary64) x))) (*.f64 x #s(literal -253/1000 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (/.f64 x #s(literal 25/3 binary64)) #s(literal 253/1000 binary64))))) (/.f64 (.f64 (.f64 x (+.f64 (/.f64 x #s(literal 25/3 binary64)) #s(literal 253/1000 binary64))) (.f64 x (+.f64 (/.f64 x #s(literal 25/3 binary64)) #s(literal 253/1000 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 x #s(literal 25/3 binary64)) #s(literal 253/1000 binary64))))))
(fma.f64 x #s(literal -253/1000 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal -25/3 binary64) x))))
(fma.f64 #s(literal 253/1000 binary64) (-.f64 #s(literal 0 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal -25/3 binary64) x))))
(fma.f64 #s(literal -1 binary64) (*.f64 x #s(literal 253/1000 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal -25/3 binary64) x))))
(fma.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 253/1000 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal -25/3 binary64) x))))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal -15625/27 binary64) (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 x (/.f64 #s(literal 25/3 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 25/3 binary64) x)))))) (.f64 x #s(literal -253/1000 binary64)))
(fma.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 9/625 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 25/3 binary64) x)))) (*.f64 x #s(literal -253/1000 binary64)))
(fma.f64 #s(literal -253/1000 binary64) x (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal -25/3 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal -25/3 binary64) x))) (.f64 x #s(literal 253/1000 binary64))) (.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal -25/3 binary64) x))) (.f64 x #s(literal 253/1000 binary64))) (-.f64 #s(literal 1 binary64) (.f64 x (+.f64 (/.f64 x #s(literal 25/3 binary64)) #s(literal 253/1000 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal -25/3 binary64) x))) (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal -25/3 binary64) x)))) (.f64 (.f64 x #s(literal 253/1000 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal -25/3 binary64) x))) (.f64 x #s(literal 253/1000 binary64))))) (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal -25/3 binary64) x))) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal -25/3 binary64) x))) (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal -25/3 binary64) x))))) (.f64 (.f64 x (*.f64 x x)) #s(literal -16194277/1000000000 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal -25/3 binary64) x))) (.f64 x #s(literal 253/1000 binary64))) (.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal -25/3 binary64) x))) (.f64 x #s(literal 253/1000 binary64))) (-.f64 #s(literal 1 binary64) (.f64 x (+.f64 (/.f64 x #s(literal 25/3 binary64)) #s(literal 253/1000 binary64))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal -25/3 binary64) x))) (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal -25/3 binary64) x)))) (.f64 (.f64 x #s(literal 253/1000 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal -25/3 binary64) x))) (.f64 x #s(literal 253/1000 binary64))))) (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal -25/3 binary64) x))) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal -25/3 binary64) x))) (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal -25/3 binary64) x))))) (.f64 (.f64 x (*.f64 x x)) #s(literal -16194277/1000000000 binary64))))))
(/.f64 (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal -25/3 binary64) x))) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal -25/3 binary64) x))) (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal -25/3 binary64) x))))) (.f64 (.f64 x (.f64 x x)) #s(literal -16194277/1000000000 binary64))) (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal -25/3 binary64) x))) (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal -25/3 binary64) x)))) (.f64 (.f64 x #s(literal 253/1000 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal -25/3 binary64) x))) (*.f64 x #s(literal 253/1000 binary64))))))
(/.f64 (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal -25/3 binary64) x))) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal -25/3 binary64) x))) (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal -25/3 binary64) x))))) (.f64 (.f64 x (.f64 x x)) #s(literal -16194277/1000000000 binary64))) (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal -25/3 binary64) x))) (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal -25/3 binary64) x)))) (-.f64 (.f64 (.f64 x x) #s(literal 64009/1000000 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal -25/3 binary64) x))) (.f64 x #s(literal -253/1000 binary64))))))
(/.f64 (.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal -25/3 binary64) x))) (.f64 x #s(literal 253/1000 binary64))) (-.f64 #s(literal 1 binary64) (.f64 x (+.f64 (/.f64 x #s(literal 25/3 binary64)) #s(literal 253/1000 binary64))))) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal -25/3 binary64) x))) (.f64 x #s(literal 253/1000 binary64))))
(/.f64 (.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal -25/3 binary64) x))) (.f64 x #s(literal 253/1000 binary64))) (-.f64 #s(literal 1 binary64) (.f64 x (+.f64 (/.f64 x #s(literal 25/3 binary64)) #s(literal 253/1000 binary64))))) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal -25/3 binary64) x))) (.f64 x #s(literal -253/1000 binary64))))
(/.f64 (neg.f64 (.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal -25/3 binary64) x))) (.f64 x #s(literal 253/1000 binary64))) (-.f64 #s(literal 1 binary64) (.f64 x (+.f64 (/.f64 x #s(literal 25/3 binary64)) #s(literal 253/1000 binary64)))))) (neg.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal -25/3 binary64) x))) (.f64 x #s(literal 253/1000 binary64)))))
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(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64)) (/.f64 #s(literal -3/25 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) x)) #s(literal -3/25 binary64))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64)) (/.f64 x #s(literal 25/3 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 #s(literal -3/25 binary64) (pow.f64 x #s(literal -1/2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(exp.f64 (.f64 (log.f64 (.f64 x x)) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal -1 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1 binary64)))
(exp.f64 (+.f64 (log.f64 x) (log.f64 x)))
(exp.f64 (-.f64 (log.f64 x) (*.f64 (log.f64 x) #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))))
(/.f64 x (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 x x) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -1 binary64) x))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x))) (/.f64 #s(literal -1 binary64) x))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -2 binary64))
(pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x))
(.f64 #s(literal 1 binary64) (.f64 x x))
(*.f64 x x)
(.f64 (.f64 x x) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (.f64 x x)))
(*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) x))
(*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 x #s(literal -1 binary64)))
(*.f64 (/.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x))
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))
(*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 x (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (/.f64 x (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 #s(literal 0 binary64) x) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) x)) (/.f64 (sqrt.f64 x) #s(literal 1 binary64)))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal -1 binary64)) (/.f64 (sqrt.f64 x) (/.f64 #s(literal -1 binary64) x)))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (sqrt.f64 x) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 x #s(literal 253/1000 binary64))
(*.f64 #s(literal 253/1000 binary64) x)

simplify155.0ms (2%)

Algorithm

1×	egg-herbie

Rules

1724×	`times-frac`
1276×	`-lowering-.f32`
1276×	`-lowering-.f64`
1126×	`sum3-define`
1122×	`fma-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	36	1004
1	88	818
2	237	814
3	588	806
4	1613	806
5	5490	806
0	8100	806

Stop Event

1×	iter limit
1×	node limit

Counts

216 → 216

Calls

Call 1

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

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

eval408.0ms (5.2%)

Compiler: Compiled 17738 to 1010 computations (94.3% saved)

prune73.0ms (0.9%)

Pruning

15 alts after pruning (7 fresh and 8 done)

	Pruned	Kept	Total
New	948	4	952
Fresh	1	3	4
Picked	3	2	5
Done	0	6	6
Total	952	15	967

Accuracy

100.0%

Counts

967 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	58.2%	(/.f64 (/.f64 x #s(literal 25/3 binary64)) (/.f64 #s(literal -1 binary64) x))
	51.3%	(/.f64 (.f64 (-.f64 #s(literal 64009/1000000 binary64) (.f64 (.f64 x x) #s(literal 9/625 binary64))) x) (+.f64 #s(literal -253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))
	58.2%	(/.f64 x (/.f64 #s(literal -25/3 binary64) x))
	57.9%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -25/3 binary64) (*.f64 x x)))
✓	99.5%	(-.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3/25 binary64))) (.f64 x #s(literal 253/1000 binary64)))
✓	99.5%	(-.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 3/25 binary64))) (*.f64 x #s(literal 253/1000 binary64)))
	59.2%	(-.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 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))
✓	42.2%	(-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 253/1000 binary64)))
	58.2%	(*.f64 (/.f64 x #s(literal -25/3 binary64)) x)
	57.9%	(.f64 (.f64 x x) #s(literal -3/25 binary64))
✓	59.2%	(.f64 x (+.f64 #s(literal -253/1000 binary64) (.f64 x #s(literal -3/25 binary64))))
✓	58.3%	(.f64 x (.f64 x #s(literal -3/25 binary64)))
✓	3.7%	(*.f64 #s(literal -253/1000 binary64) x)
✓	40.3%	#s(literal 1 binary64)

Compiler

Compiled 401 to 190 computations (52.6% saved)

regimes26.0ms (0.3%)

Counts

29 → 1

Calls

Call 1

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

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

Calls

3 calls:

9.0ms	x
8.0ms	(.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))
7.0ms	(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))

Results

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

Compiler

Compiled 20 to 15 computations (25% saved)

regimes18.0ms (0.2%)

Counts

17 → 1

Calls

Call 1

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

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

Calls

3 calls:

6.0ms	(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))
5.0ms	(.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))
5.0ms	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)

regimes5.0ms (0.1%)

Counts

12 → 1

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
96.9%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes6.0ms (0.1%)

Counts

9 → 1

Calls

Call 1

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

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

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
96.6%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0%)

Counts

8 → 3

Calls

Call 1

Inputs
#s(literal 1 binary64)
(*.f64 #s(literal -253/1000 binary64) x)
(.f64 x (.f64 x #s(literal -3/25 binary64)))
(.f64 (.f64 x x) #s(literal -3/25 binary64))
(*.f64 (/.f64 x #s(literal -25/3 binary64)) x)
(-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 253/1000 binary64)))
(/.f64 x (/.f64 #s(literal -25/3 binary64) x))
(.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
97.7%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Counts

7 → 3

Calls

Call 1

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

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:

3.0ms

Results

Accuracy	Segments	Branch
97.2%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Counts

5 → 3

Calls

Call 1

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

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
97.0%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Counts

2 → 2

Calls

Call 1

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

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

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
42.0%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)

Outputs
#s(literal 1 binary64)

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
40.3%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

bsearch32.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	0.8628416027427358	33.41790409562235
16.0ms	-11940.311699276192	-1.4537043371282667

Results

21.0ms

240×

valid

Compiler

Compiled 254 to 206 computations (18.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

...c/correct-round.rkt:119:19: 7.0ms (45.7% of total)

ival-mult: 4.0ms (26.1% of total)

ival-sub: 3.0ms (19.6% of total)

ival-add: 1.0ms (6.5% of total)

const: 0.0ms (0% of total)

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

bsearch32.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	0.8628416027427358	33.41790409562235
16.0ms	-11940.311699276192	-1.4537043371282667

Results

21.0ms

240×

valid

Compiler

Compiled 224 to 176 computations (21.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

...c/correct-round.rkt:119:19: 6.0ms (40.6% of total)

ival-mult: 5.0ms (33.8% of total)

ival-sub: 1.0ms (6.8% of total)

ival-add: 1.0ms (6.8% of total)

const: 0.0ms (0% of total)

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

bsearch32.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	0.8628416027427358	33.41790409562235
17.0ms	-11940.311699276192	-1.4537043371282667

Results

19.0ms

240×

valid

Compiler

Compiled 164 to 131 computations (20.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

...c/correct-round.rkt:119:19: 6.0ms (45.3% of total)

ival-mult: 4.0ms (30.2% of total)

ival-sub: 1.0ms (7.5% of total)

ival-add: 1.0ms (7.5% of total)

const: 1.0ms (7.5% of total)

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

bsearch21.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
20.0ms	0.8628416027427358	33.41790409562235

Results

16.0ms

112×

valid

Compiler

Compiled 70 to 60 computations (14.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

...c/correct-round.rkt:119:19: 3.0ms (48.7% of total)

ival-mult: 2.0ms (32.5% of total)

ival-sub: 1.0ms (16.2% of total)

ival-add: 1.0ms (16.2% of total)

const: 0.0ms (0% of total)

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

simplify13.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

44×	`*-commutative_binary64`
42×	`+-commutative_binary64`
38×	`sub-neg_binary64`
26×	`neg-sub0_binary64`
26×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	98
1	79	98
2	126	98
3	159	98
4	180	98
5	187	98
6	188	98

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.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 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))
(-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 25/3 binary64) x)))
(-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 3/25 binary64)))
(if (<=.f64 x #s(literal -4728779608739021/1125899906842624 binary64)) (.f64 x (+.f64 #s(literal -253/1000 binary64) (.f64 x #s(literal -3/25 binary64)))) (if (<=.f64 x #s(literal 2 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))))))
(if (<=.f64 x #s(literal -4728779608739021/1125899906842624 binary64)) (.f64 x (.f64 x #s(literal -3/25 binary64))) (if (<=.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 x #s(literal 253/1000 binary64))) (.f64 x (*.f64 x #s(literal -3/25 binary64)))))
(if (<=.f64 x #s(literal -4728779608739021/1125899906842624 binary64)) (.f64 x (.f64 x #s(literal -3/25 binary64))) (if (<=.f64 x #s(literal 2 binary64)) #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -3/25 binary64)))))
(if (<=.f64 x #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 #s(literal -253/1000 binary64) x))
#s(literal 1 binary64)

Outputs
(-.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 x (+.f64 #s(literal 253/1000 binary64) (.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 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 25/3 binary64) x)))
(-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 3/25 binary64)))
(-.f64 #s(literal 1 binary64) (.f64 #s(literal 3/25 binary64) (.f64 x x)))
(if (<=.f64 x #s(literal -4728779608739021/1125899906842624 binary64)) (.f64 x (+.f64 #s(literal -253/1000 binary64) (.f64 x #s(literal -3/25 binary64)))) (if (<=.f64 x #s(literal 2 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))))))
(if (<=.f64 x #s(literal -4728779608739021/1125899906842624 binary64)) (.f64 x (.f64 x #s(literal -3/25 binary64))) (if (<=.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 x #s(literal 253/1000 binary64))) (.f64 x (*.f64 x #s(literal -3/25 binary64)))))
(if (<=.f64 x #s(literal -4728779608739021/1125899906842624 binary64)) (.f64 x (.f64 x #s(literal -3/25 binary64))) (if (<=.f64 x #s(literal 2 binary64)) #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -3/25 binary64)))))
(if (<=.f64 x #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 #s(literal -253/1000 binary64) x))
(if (<=.f64 x #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 x #s(literal -253/1000 binary64)))
#s(literal 1 binary64)

soundness1.5s (18.8%)

Rules

3104×	`-lowering-.f32`
3104×	`-lowering-.f64`
2808×	`-lowering-.f32`
2808×	`-lowering-.f64`
2752×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	24	95
1	162	82
2	1428	80
0	8253	80
0	8	24
1	51	21
2	442	20
3	4945	20
0	8097	20
0	35	248
1	99	217
2	256	211
3	602	211
4	1438	211
5	4240	211
0	8146	211
0	107	1037
1	314	888
2	755	868
3	1817	866
4	4782	866
0	8431	866

Stop Event

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

Compiler

Compiled 223 to 122 computations (45.3% saved)

preprocess45.0ms (0.6%)

Compiler: Compiled 246 to 92 computations (62.6% saved)

analyze0.0ms (0%)

sample1.3s (16.3%)

preprocess122.0ms (1.5%)

explain134.0ms (1.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify62.0ms (0.8%)

localize280.0ms (3.6%)

series3.0ms (0%)

rewrite518.0ms (6.6%)

simplify161.0ms (2.1%)

eval40.0ms (0.5%)

prune30.0ms (0.4%)

simplify311.0ms (4%)

localize137.0ms (1.7%)

series10.0ms (0.1%)

rewrite454.0ms (5.8%)

simplify227.0ms (2.9%)

eval121.0ms (1.5%)

prune55.0ms (0.7%)

simplify116.0ms (1.5%)

localize128.0ms (1.6%)

series5.0ms (0.1%)

rewrite366.0ms (4.7%)

simplify184.0ms (2.3%)

eval129.0ms (1.6%)

prune88.0ms (1.1%)

simplify107.0ms (1.4%)

localize121.0ms (1.5%)

series4.0ms (0%)

rewrite308.0ms (3.9%)

simplify155.0ms (2%)

eval408.0ms (5.2%)

prune73.0ms (0.9%)

regimes26.0ms (0.3%)

regimes18.0ms (0.2%)

regimes5.0ms (0.1%)

regimes6.0ms (0.1%)

regimes4.0ms (0%)

regimes3.0ms (0%)

regimes3.0ms (0%)

regimes2.0ms (0%)

regimes2.0ms (0%)

bsearch32.0ms (0.4%)

bsearch32.0ms (0.4%)

bsearch32.0ms (0.4%)

bsearch21.0ms (0.3%)

simplify13.0ms (0.2%)

soundness1.5s (18.8%)

preprocess45.0ms (0.6%)

end0.0ms (0%)

Profiling