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)

sample1.2s (17%)

Results

1.0s

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 711.0ms

...c/correct-round.rkt:119:19: 373.0ms (52.4% of total)

ival-mult: 202.0ms (28.4% of total)

ival-sub: 67.0ms (9.4% of total)

ival-add: 56.0ms (7.9% of total)

const: 10.0ms (1.4% of total)

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

Bogosity

preprocess137.0ms (1.9%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	30
1	52	24
2	175	22
3	564	21
4	1786	21
5	3651	21
6	4274	21
7	4587	21
8	4612	21
0	8	9
1	24	8
2	67	7
3	161	7
4	367	7
5	695	7
6	1084	7
7	2253	7
8	2791	7
9	2871	7
0	2871	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)

explain98.0ms (1.4%)

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

55.0ms

512×

valid

Compiler

Compiled 70 to 26 computations (62.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 30.0ms

...c/correct-round.rkt:119:19: 14.0ms (46.1% of total)

ival-mult: 10.0ms (32.9% of total)

ival-sub: 3.0ms (9.9% of total)

ival-add: 3.0ms (9.9% of total)

const: 1.0ms (3.3% 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)

simplify58.0ms (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	161	24
4	367	24
5	695	24
6	1084	24
7	2253	24
8	2791	24
9	2871	24
0	2871	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)

localize42.0ms (0.6%)

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

31.0ms

256×

valid

Compiler

Compiled 30 to 9 computations (70% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

...c/correct-round.rkt:119:19: 12.0ms (55.8% of total)

ival-mult: 7.0ms (32.6% of total)

ival-sub: 1.0ms (4.7% of total)

ival-add: 1.0ms (4.7% 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	@	-inf	(- 1 (* x (+ 253/1000 (* x 3/25))))
0.0ms	x	@	0	(- 1 (* x (+ 253/1000 (* x 3/25))))
0.0ms	x	@	-inf	(* x 3/25)

rewrite272.0ms (3.8%)

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	440	20
3	4910	20
0	8444	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 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))))) (neg.f64 (/.f64 (.f64 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 (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))) (.f64 x x))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))))))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))) (neg.f64 (/.f64 (.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 x x))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))))))
(+.f64 (.f64 x (.f64 x #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 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))))) (/.f64 (.f64 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 (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))) (.f64 x x))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))) (/.f64 (.f64 (+.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 x x))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 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 #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 x x))) (.f64 x (+.f64 (.f64 x #s(literal -3/25 binary64)) #s(literal -253/1000 binary64))))) (+.f64 #s(literal -1 binary64) (neg.f64 (.f64 (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))))))))
(neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))) (.f64 x (+.f64 (.f64 x #s(literal -3/25 binary64)) #s(literal -253/1000 binary64))))) (+.f64 (.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 #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 x x))) (.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 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))))))))
(neg.f64 (/.f64 (+.f64 #s(literal -1 binary64) (.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 x x)))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 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 #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 x x))) (.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 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))) (.f64 x (+.f64 (.f64 x #s(literal -3/25 binary64)) #s(literal -253/1000 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))))
(/.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (.f64 (.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 x x))) (.f64 x (+.f64 (.f64 x #s(literal -3/25 binary64)) #s(literal -253/1000 binary64)))))) (+.f64 #s(literal -1 binary64) (neg.f64 (.f64 (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))))))))
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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 (.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 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 (.f64 x x) #s(literal 9/625 binary64))) (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal -3/25 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 16194277/1000000000 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 27/15625 binary64))))) (neg.f64 (+.f64 (neg.f64 (.f64 x (-.f64 (*.f64 x #s(literal 9/625 binary64)) #s(literal 759/25000 binary64)))) #s(literal -64009/1000000 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal -64009/1000000 binary64) (neg.f64 (.f64 (.f64 x x) #s(literal -9/625 binary64))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal -3/25 binary64))))))
(/.f64 (neg.f64 (+.f64 (.f64 (.f64 x 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 (.f64 x 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 (.f64 x x) #s(literal 9/625 binary64)) (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal -3/25 binary64)))) (/.f64 (.f64 (.f64 x x) #s(literal 9/625 binary64)) (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal -3/25 binary64))))) (.f64 (/.f64 #s(literal 64009/1000000 binary64) (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal -3/25 binary64)))) (/.f64 (.f64 (.f64 x x) #s(literal 9/625 binary64)) (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal -3/25 binary64))))))))
(/.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 (.f64 x x) #s(literal 9/625 binary64)) (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal -3/25 binary64)))) (/.f64 (.f64 (.f64 x x) #s(literal 9/625 binary64)) (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal -3/25 binary64)))))) (+.f64 (/.f64 #s(literal 64009/1000000 binary64) (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal -3/25 binary64)))) (/.f64 (.f64 (.f64 x x) #s(literal 9/625 binary64)) (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal -3/25 binary64))))))
(/.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 (.f64 x x) #s(literal 9/625 binary64)) (+.f64 #s(literal 64009/1000000 binary64) (.f64 (*.f64 x x) #s(literal 9/625 binary64))))))
(/.f64 (.f64 (-.f64 #s(literal 4097152081/1000000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 81/390625 binary64))) (/.f64 #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))))
(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 #s(literal 0 binary64) (+.f64 #s(literal 16194277/1000000000 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 27/15625 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 (.f64 x (-.f64 (.f64 x #s(literal 9/625 binary64)) #s(literal 759/25000 binary64)))) #s(literal -64009/1000000 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 (.f64 x 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)

simplify140.0ms (2%)

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	223
2	255	215
3	605	215
4	1440	215
5	4239	215
0	8140	215

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 48

Calls

Call 1

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

eval27.0ms (0.4%)

Compiler: Compiled 7014 to 691 computations (90.1% saved)

prune34.0ms (0.5%)

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
	62.6%	(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -253/1000 binary64))) #s(literal 3 binary64)) (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 27/15625 binary64)) (.f64 x (.f64 x x)))) (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -253/1000 binary64))) (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -253/1000 binary64)))) (+.f64 (.f64 (.f64 (.f64 x x) #s(literal 9/625 binary64)) (.f64 x x)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -253/1000 binary64))) (.f64 x (.f64 x #s(literal 3/25 binary64)))))))
	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)))
▶	99.8%	(-.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))))))
	99.8%	(-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 64009/1000000 binary64) (.f64 (.f64 x x) #s(literal -9/625 binary64))) (/.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal -3/25 binary64))))))
	99.8%	(-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 64009/1000000 binary64) (.f64 (.f64 x x) #s(literal -9/625 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal -3/25 binary64)))) x)))
▶	99.8%	(-.f64 #s(literal 1 binary64) (.f64 x (/.f64 (+.f64 (.f64 (.f64 x x) #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (+.f64 (.f64 x #s(literal 3/25 binary64)) #s(literal -253/1000 binary64)))))
✓	99.9%	(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))
▶	55.6%	(-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 253/1000 binary64)))
	47.0%	(.f64 x (+.f64 #s(literal -253/1000 binary64) (.f64 x #s(literal -3/25 binary64))))
	46.0%	(.f64 x (.f64 x #s(literal -3/25 binary64)))
▶	53.5%	#s(literal 1 binary64)

Compiler

Compiled 354 to 232 computations (34.5% saved)

simplify220.0ms (3.1%)

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 (.f64 (.f64 x x) #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64))
✓	cost-diff	0	(/.f64 (+.f64 (.f64 (.f64 x x) #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (+.f64 (*.f64 x #s(literal 3/25 binary64)) #s(literal -253/1000 binary64)))
✓	cost-diff	0	(.f64 x (/.f64 (+.f64 (.f64 (.f64 x x) #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (+.f64 (.f64 x #s(literal 3/25 binary64)) #s(literal -253/1000 binary64))))
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (.f64 x (/.f64 (+.f64 (.f64 (.f64 x x) #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (+.f64 (.f64 x #s(literal 3/25 binary64)) #s(literal -253/1000 binary64)))))
✓	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	63	138
2	161	133
3	404	133
4	870	133
5	1994	133
6	4280	133
7	7196	133
8	7567	133
9	7650	133
10	7722	133
11	7796	133
0	8736	133

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

localize146.0ms (2%)

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(.f64 x (/.f64 (+.f64 (.f64 (.f64 x x) #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (+.f64 (.f64 x #s(literal 3/25 binary64)) #s(literal -253/1000 binary64))))
✓	accuracy	99.8%	(.f64 (.f64 x x) #s(literal 9/625 binary64))
✓	accuracy	99.6%	(*.f64 x #s(literal 3/25 binary64))
✓	accuracy	79.6%	(/.f64 (+.f64 (.f64 (.f64 x x) #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (+.f64 (*.f64 x #s(literal 3/25 binary64)) #s(literal -253/1000 binary64)))
✓	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	99.6%	(/.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 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 3/25 binary64)))) (*.f64 x #s(literal 253/1000 binary64)))
✓	accuracy	99.9%	(*.f64 x #s(literal 253/1000 binary64))
✓	accuracy	99.8%	(.f64 x (.f64 x #s(literal 3/25 binary64)))
✓	accuracy	99.6%	(*.f64 x #s(literal 3/25 binary64))

Results

78.0ms

256×

valid

Compiler

Compiled 160 to 25 computations (84.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 45.0ms

...c/correct-round.rkt:119:19: 18.0ms (40.2% of total)

ival-mult: 11.0ms (24.6% of total)

ival-sub: 6.0ms (13.4% of total)

ival-div: 5.0ms (11.2% of total)

ival-add: 4.0ms (8.9% of total)

const: 0.0ms (0% of total)

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

series11.0ms (0.2%)

Counts

15 → 180

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 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 (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

45 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	@	0	(* x (/ (+ (* (* x x) 9/625) -64009/1000000) (+ (* x 3/25) -253/1000)))

rewrite334.0ms (4.7%)

Algorithm

1×	batch-egg-rewrite

Rules

4304×	`-lowering-.f32`
4304×	`-lowering-.f64`
3052×	`/-lowering-/.f32`
3052×	`/-lowering-/.f64`
2524×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	24	99
1	178	83
2	1659	78
0	9006	78

Stop Event

1×	iter limit
1×	node limit

Counts

15 → 541

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 x) 9/625)

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

simplify196.0ms (2.7%)

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	106	1001
1	312	914
2	754	888
3	1819	886
4	4786	886
0	8432	886

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 180

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

eval88.0ms (1.2%)

Compiler: Compiled 15937 to 1299 computations (91.8% saved)

prune56.0ms (0.8%)

Pruning

13 alts after pruning (9 fresh and 4 done)

	Pruned	Kept	Total
New	760	6	766
Fresh	3	3	6
Picked	2	3	5
Done	0	1	1
Total	765	13	778

Accuracy

100.0%

Counts

778 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	62.6%	(/.f64 (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -3/25 binary64))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -3/25 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -3/25 binary64))))) (.f64 #s(literal -16194277/1000000000 binary64) (.f64 x (.f64 x x)))) (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -3/25 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -3/25 binary64)))) (-.f64 (.f64 (.f64 x x) #s(literal 64009/1000000 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -3/25 binary64))) (.f64 x #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)))
▶	97.5%	(-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 25/3 binary64) x)))
	99.8%	(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 3/25 binary64)) #s(literal 253/1000 binary64))) x)))
▶	99.8%	(-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 64009/1000000 binary64) (.f64 (.f64 x x) #s(literal -9/625 binary64))) (/.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal -3/25 binary64))))))
▶	98.0%	(-.f64 #s(literal 1 binary64) (.f64 x (/.f64 (.f64 (.f64 x 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)))))
✓	55.6%	(-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 253/1000 binary64)))
	47.0%	(.f64 x (+.f64 #s(literal -253/1000 binary64) (.f64 x #s(literal -3/25 binary64))))
▶	46.0%	(.f64 x (.f64 x #s(literal -3/25 binary64)))
	46.0%	(.f64 #s(literal -3/25 binary64) (.f64 x x))
▶	3.9%	(*.f64 #s(literal -253/1000 binary64) x)
✓	53.5%	#s(literal 1 binary64)

Compiler

Compiled 322 to 182 computations (43.5% saved)

simplify121.0ms (1.7%)

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

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

Rules

2380×	`fnmadd-define`
1438×	`fmsub-define`
1376×	`fnmsub-define`
1210×	`fmm-def`
1126×	`-lowering-.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	29	157
1	68	150
2	159	143
3	481	143
4	1376	143
5	4101	143
0	8082	143

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize173.0ms (2.4%)

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(.f64 x (/.f64 (.f64 (.f64 x x) #s(literal 9/625 binary64)) (+.f64 (.f64 x #s(literal 3/25 binary64)) #s(literal -253/1000 binary64))))
✓	accuracy	99.8%	(.f64 (.f64 x x) #s(literal 9/625 binary64))
✓	accuracy	99.6%	(*.f64 x #s(literal 3/25 binary64))
✓	accuracy	79.4%	(/.f64 (.f64 (.f64 x x) #s(literal 9/625 binary64)) (+.f64 (*.f64 x #s(literal 3/25 binary64)) #s(literal -253/1000 binary64)))
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 25/3 binary64) x)))
✓	accuracy	99.7%	(/.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	99.9%	(*.f64 #s(literal -253/1000 binary64) x)
✓	accuracy	99.8%	(.f64 (.f64 x x) #s(literal -9/625 binary64))
✓	accuracy	99.7%	(/.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal -3/25 binary64))))
✓	accuracy	99.6%	(*.f64 x #s(literal -3/25 binary64))
✓	accuracy	99.5%	(.f64 (+.f64 #s(literal 64009/1000000 binary64) (.f64 (.f64 x x) #s(literal -9/625 binary64))) (/.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal -3/25 binary64)))))

Results

132.0ms

256×

valid

Compiler

Compiled 163 to 30 computations (81.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 67.0ms

...c/correct-round.rkt:119:19: 26.0ms (38.6% of total)

ival-mult: 25.0ms (37.2% of total)

ival-div: 7.0ms (10.4% of total)

ival-sub: 4.0ms (5.9% of total)

ival-add: 4.0ms (5.9% of total)

const: 0.0ms (0% of total)

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

series8.0ms (0.1%)

Counts

16 → 192

Calls

Call 1

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

Outputs
#<alt 1>
#<alt (+ 1 (* -253/1000 x))>
#<alt (+ 1 (* x (- (* -3/25 x) 253/1000)))>
#<alt (+ 1 (* x (- (* -3/25 x) 253/1000)))>
#<alt (* -3/25 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -3/25 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))>
#<alt (* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))>
#<alt (* 253/1000 x)>
#<alt (* x (+ 253/1000 (* 3/25 x)))>
#<alt (* x (+ 253/1000 (* 3/25 x)))>
#<alt (* x (+ 253/1000 (* 3/25 x)))>
#<alt (* 3/25 (pow x 2))>
#<alt (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))>
#<alt (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))>
#<alt (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))>
#<alt (* 3/25 (pow x 2))>
#<alt (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))>
#<alt (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))>
#<alt (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))>
#<alt 64009/1000000>
#<alt (+ 64009/1000000 (* -9/625 (pow x 2)))>
#<alt (+ 64009/1000000 (* -9/625 (pow x 2)))>
#<alt (+ 64009/1000000 (* -9/625 (pow x 2)))>
#<alt (* -9/625 (pow x 2))>
#<alt (* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))>
#<alt (* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))>
#<alt (* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))>
#<alt (* -9/625 (pow x 2))>
#<alt (* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))>
#<alt (* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))>
#<alt (* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))>
#<alt (* -9/625 (pow x 2))>
#<alt (* -9/625 (pow x 2))>
#<alt (* -9/625 (pow x 2))>
#<alt (* -9/625 (pow x 2))>
#<alt (* -9/625 (pow x 2))>
#<alt (* -9/625 (pow x 2))>
#<alt (* -9/625 (pow x 2))>
#<alt (* -9/625 (pow x 2))>
#<alt (* -9/625 (pow x 2))>
#<alt (* -9/625 (pow x 2))>
#<alt (* -9/625 (pow x 2))>
#<alt (* -9/625 (pow x 2))>
#<alt (* -253/1000 x)>
#<alt (* -253/1000 x)>
#<alt (* -253/1000 x)>
#<alt (* -253/1000 x)>
#<alt (* -253/1000 x)>
#<alt (* -253/1000 x)>
#<alt (* -253/1000 x)>
#<alt (* -253/1000 x)>
#<alt (* -253/1000 x)>
#<alt (* -253/1000 x)>
#<alt (* -253/1000 x)>
#<alt (* -253/1000 x)>
#<alt (* -3/25 (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 (* 72/1265 (pow x 3)))>
#<alt (+ 1 (* (pow x 3) (+ 72/1265 (* 1728/64009 x))))>
#<alt (+ 1 (* (pow x 3) (+ 72/1265 (* x (+ 1728/64009 (* 207360/16194277 x))))))>
#<alt (* -3/25 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* (pow x 2) (- (/ 55991/120000 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* (pow x 2) (- (/ 55991/120000 (pow x 2)) (+ 3/25 (+ (* 253/1000 (/ 1 x)) (* 16194277/14400000 (/ 1 (pow x 3)))))))>
#<alt (* -3/25 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* (pow x 2) (- (* -1 (/ (- 253/1000 (* 55991/120000 (/ 1 x))) x)) 3/25))>
#<alt (* (pow x 2) (- (* -1 (/ (+ 253/1000 (* -1 (/ (- 55991/120000 (* 16194277/14400000 (/ 1 x))) x))) x)) 3/25))>
#<alt (* -72/1265 (pow x 3))>
#<alt (* (pow x 3) (- (* -1728/64009 x) 72/1265))>
#<alt (* (pow x 3) (- (* x (- (* -207360/16194277 x) 1728/64009)) 72/1265))>
#<alt (* (pow x 3) (- (* x (- (* x (- (* -24883200/4097152081 x) 207360/16194277)) 1728/64009)) 72/1265))>
#<alt (* 3/25 (pow x 2))>
#<alt (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))>
#<alt (* (pow x 2) (+ 3/25 (+ (/ 64009/120000 (pow x 2)) (* 253/1000 (/ 1 x)))))>
#<alt (* (pow x 2) (+ 3/25 (+ (/ 64009/120000 (pow x 2)) (+ (* 253/1000 (/ 1 x)) (* 16194277/14400000 (/ 1 (pow x 3)))))))>
#<alt (* 3/25 (pow x 2))>
#<alt (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))>
#<alt (* (pow x 2) (+ 3/25 (+ (/ 64009/120000 (pow x 2)) (* 253/1000 (/ 1 x)))))>
#<alt (* (pow x 2) (+ 3/25 (* -1 (/ (- (* -1 (/ (+ 64009/120000 (* 16194277/14400000 (/ 1 x))) x)) 253/1000) x))))>
#<alt (* -72/1265 (pow x 2))>
#<alt (* (pow x 2) (- (* -1728/64009 x) 72/1265))>
#<alt (* (pow x 2) (- (* x (- (* -207360/16194277 x) 1728/64009)) 72/1265))>
#<alt (* (pow x 2) (- (* x (- (* x (- (* -24883200/4097152081 x) 207360/16194277)) 1728/64009)) 72/1265))>
#<alt (* 3/25 x)>
#<alt (* x (+ 3/25 (* 253/1000 (/ 1 x))))>
#<alt (* x (+ 3/25 (+ (/ 64009/120000 (pow x 2)) (* 253/1000 (/ 1 x)))))>
#<alt (* x (+ 3/25 (+ (/ 64009/120000 (pow x 2)) (+ (* 253/1000 (/ 1 x)) (* 16194277/14400000 (/ 1 (pow x 3)))))))>
#<alt (* 3/25 x)>
#<alt (* x (+ 3/25 (* 253/1000 (/ 1 x))))>
#<alt (* -1 (* x (- (* -1 (/ (+ 253/1000 (* 64009/120000 (/ 1 x))) x)) 3/25)))>
#<alt (* -1 (* x (- (* -1 (/ (+ 253/1000 (+ (* 64009/120000 (/ 1 x)) (/ 16194277/14400000 (pow x 2)))) x)) 3/25)))>
#<alt (* 9/625 (pow x 2))>
#<alt (* 9/625 (pow x 2))>
#<alt (* 9/625 (pow x 2))>
#<alt (* 9/625 (pow x 2))>
#<alt (* 9/625 (pow x 2))>
#<alt (* 9/625 (pow x 2))>
#<alt (* 9/625 (pow x 2))>
#<alt (* 9/625 (pow x 2))>
#<alt (* 9/625 (pow x 2))>
#<alt (* 9/625 (pow x 2))>
#<alt (* 9/625 (pow x 2))>
#<alt (* 9/625 (pow x 2))>
#<alt (* 1000/253 x)>
#<alt (* x (+ 1000/253 (* 120000/64009 x)))>
#<alt (* x (+ 1000/253 (* x (+ 120000/64009 (* 14400000/16194277 x)))))>
#<alt (* x (+ 1000/253 (* x (+ 120000/64009 (* x (+ 14400000/16194277 (* 1728000000/4097152081 x)))))))>
#<alt -25/3>
#<alt (* -1 (+ 25/3 (* 1265/72 (/ 1 x))))>
#<alt (- (* -1 (/ (+ 1265/72 (* 64009/1728 (/ 1 x))) x)) 25/3)>
#<alt (- (* -1 (/ (+ 64009/1728 (* 16194277/207360 (/ 1 x))) (pow x 2))) (+ 25/3 (* 1265/72 (/ 1 x))))>
#<alt -25/3>
#<alt (* -1 (+ 25/3 (* 1265/72 (/ 1 x))))>
#<alt (- (* -1 (/ (+ 1265/72 (* 64009/1728 (/ 1 x))) x)) 25/3)>
#<alt (- (* -1 (/ (+ 1265/72 (+ (* 64009/1728 (/ 1 x)) (/ 16194277/207360 (pow x 2)))) x)) 25/3)>
#<alt (* 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

48 calls:

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

rewrite357.0ms (5%)

Algorithm

1×	batch-egg-rewrite

Rules

4090×	`-lowering-.f32`
4090×	`-lowering-.f64`
4062×	`/-lowering-/.f32`
4062×	`/-lowering-/.f64`
1864×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	29	121
1	168	115
2	1454	101
0	8582	101

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 475

Calls

Call 1

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

Outputs
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 253/1000 binary64) (/.f64 x #s(literal 25/3 binary64)))))
(+.f64 (*.f64 (/.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 253/1000 binary64) (/.f64 x #s(literal 25/3 binary64)))) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 253/1000 binary64) (/.f64 x #s(literal 25/3 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 253/1000 binary64) (/.f64 x #s(literal 25/3 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 253/1000 binary64) (/.f64 x #s(literal 25/3 binary64)))))))) (/.f64 (.f64 (.f64 (/.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 253/1000 binary64) (/.f64 x #s(literal 25/3 binary64)))) (.f64 (.f64 (/.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 253/1000 binary64) (/.f64 x #s(literal 25/3 binary64)))) (.f64 (/.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 253/1000 binary64) (/.f64 x #s(literal 25/3 binary64)))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 253/1000 binary64) (/.f64 x #s(literal 25/3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 253/1000 binary64) (/.f64 x #s(literal 25/3 binary64)))))))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 253/1000 binary64) (/.f64 x #s(literal 25/3 binary64)))))) (/.f64 (.f64 (.f64 (/.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 253/1000 binary64) (/.f64 x #s(literal 25/3 binary64)))) (.f64 (/.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 253/1000 binary64) (/.f64 x #s(literal 25/3 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 253/1000 binary64) (/.f64 x #s(literal 25/3 binary64)))))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 253/1000 binary64) (/.f64 x #s(literal 25/3 binary64)))))) (/.f64 (.f64 (.f64 (/.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 253/1000 binary64) (/.f64 x #s(literal 25/3 binary64)))) (.f64 (/.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 253/1000 binary64) (/.f64 x #s(literal 25/3 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 253/1000 binary64) (/.f64 x #s(literal 25/3 binary64)))))))
(fma.f64 (+.f64 #s(literal 64009/1000000 binary64) (.f64 x (.f64 x #s(literal -9/625 binary64)))) (neg.f64 (/.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal -3/25 binary64))))) #s(literal 1 binary64))
(fma.f64 (/.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal -3/25 binary64)))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 64009/1000000 binary64) (.f64 x (*.f64 x #s(literal -9/625 binary64))))) #s(literal 1 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 64009/1000000 binary64) (.f64 x (.f64 x #s(literal -9/625 binary64))))) (/.f64 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 (/.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 253/1000 binary64) (/.f64 x #s(literal 25/3 binary64)))) #s(literal 1 binary64))
(fma.f64 (neg.f64 (/.f64 x (+.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)))) #s(literal 1 binary64))
(fma.f64 (.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 64009/1000000 binary64) (.f64 x (.f64 x #s(literal -9/625 binary64))))) x) (/.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 (+.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 253/1000 binary64) (/.f64 x #s(literal 25/3 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 253/1000 binary64) (/.f64 x #s(literal 25/3 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (/.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 253/1000 binary64) (/.f64 x #s(literal 25/3 binary64)))) (.f64 (/.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 253/1000 binary64) (/.f64 x #s(literal 25/3 binary64))))) (.f64 (/.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 253/1000 binary64) (/.f64 x #s(literal 25/3 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 253/1000 binary64) (/.f64 x #s(literal 25/3 binary64))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 253/1000 binary64) (/.f64 x #s(literal 25/3 binary64)))) (.f64 (/.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 253/1000 binary64) (/.f64 x #s(literal 25/3 binary64))))))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (/.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 253/1000 binary64) (/.f64 x #s(literal 25/3 binary64)))) (.f64 (/.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 253/1000 binary64) (/.f64 x #s(literal 25/3 binary64))))) (.f64 (/.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 253/1000 binary64) (/.f64 x #s(literal 25/3 binary64)))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 253/1000 binary64) (/.f64 x #s(literal 25/3 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 253/1000 binary64) (/.f64 x #s(literal 25/3 binary64))))))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (/.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 253/1000 binary64) (/.f64 x #s(literal 25/3 binary64)))) (.f64 (/.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 253/1000 binary64) (/.f64 x #s(literal 25/3 binary64))))) (.f64 (/.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 253/1000 binary64) (/.f64 x #s(literal 25/3 binary64)))))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 (/.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 253/1000 binary64) (/.f64 x #s(literal 25/3 binary64)))) (.f64 (/.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 253/1000 binary64) (/.f64 x #s(literal 25/3 binary64))))) (.f64 #s(literal 1 binary64) (.f64 (/.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 253/1000 binary64) (/.f64 x #s(literal 25/3 binary64))))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 253/1000 binary64) (/.f64 x #s(literal 25/3 binary64)))) (.f64 (/.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 253/1000 binary64) (/.f64 x #s(literal 25/3 binary64)))))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 253/1000 binary64) (/.f64 x #s(literal 25/3 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 253/1000 binary64) (/.f64 x #s(literal 25/3 binary64)))) (.f64 (/.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 253/1000 binary64) (/.f64 x #s(literal 25/3 binary64)))))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 253/1000 binary64) (/.f64 x #s(literal 25/3 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 253/1000 binary64) (/.f64 x #s(literal 25/3 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 253/1000 binary64) (/.f64 x #s(literal 25/3 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (/.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 253/1000 binary64) (/.f64 x #s(literal 25/3 binary64)))) (.f64 (/.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 253/1000 binary64) (/.f64 x #s(literal 25/3 binary64))))) (.f64 (/.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 253/1000 binary64) (/.f64 x #s(literal 25/3 binary64)))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 253/1000 binary64) (/.f64 x #s(literal 25/3 binary64))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 253/1000 binary64) (/.f64 x #s(literal 25/3 binary64)))) (.f64 (/.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 253/1000 binary64) (/.f64 x #s(literal 25/3 binary64)))))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (/.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 253/1000 binary64) (/.f64 x #s(literal 25/3 binary64)))) (.f64 (/.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 253/1000 binary64) (/.f64 x #s(literal 25/3 binary64))))) (.f64 (/.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 253/1000 binary64) (/.f64 x #s(literal 25/3 binary64))))))) (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 253/1000 binary64) (/.f64 x #s(literal 25/3 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 253/1000 binary64) (/.f64 x #s(literal 25/3 binary64)))))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (/.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 253/1000 binary64) (/.f64 x #s(literal 25/3 binary64)))) (.f64 (/.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 253/1000 binary64) (/.f64 x #s(literal 25/3 binary64))))) (.f64 (/.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 253/1000 binary64) (/.f64 x #s(literal 25/3 binary64))))))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 (/.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 253/1000 binary64) (/.f64 x #s(literal 25/3 binary64)))) (.f64 (/.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 253/1000 binary64) (/.f64 x #s(literal 25/3 binary64))))) (.f64 #s(literal 1 binary64) (.f64 (/.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 253/1000 binary64) (/.f64 x #s(literal 25/3 binary64)))))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 253/1000 binary64) (/.f64 x #s(literal 25/3 binary64)))) (.f64 (/.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 253/1000 binary64) (/.f64 x #s(literal 25/3 binary64))))))) (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 253/1000 binary64) (/.f64 x #s(literal 25/3 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 253/1000 binary64) (/.f64 x #s(literal 25/3 binary64)))) (.f64 (/.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 253/1000 binary64) (/.f64 x #s(literal 25/3 binary64))))))) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 253/1000 binary64) (/.f64 x #s(literal 25/3 binary64)))))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 253/1000 binary64) (/.f64 x #s(literal 25/3 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 253/1000 binary64) (/.f64 x #s(literal 25/3 binary64)))))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 253/1000 binary64) (/.f64 x #s(literal 25/3 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 253/1000 binary64) (/.f64 x #s(literal 25/3 binary64))))))) (.f64 (.f64 (/.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 253/1000 binary64) (/.f64 x #s(literal 25/3 binary64)))) (.f64 (.f64 (/.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 253/1000 binary64) (/.f64 x #s(literal 25/3 binary64)))) (.f64 (/.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 253/1000 binary64) (/.f64 x #s(literal 25/3 binary64)))))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 253/1000 binary64) (/.f64 x #s(literal 25/3 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 253/1000 binary64) (/.f64 x #s(literal 25/3 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 253/1000 binary64) (/.f64 x #s(literal 25/3 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 253/1000 binary64) (/.f64 x #s(literal 25/3 binary64)))))))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 253/1000 binary64) (/.f64 x #s(literal 25/3 binary64)))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 253/1000 binary64) (/.f64 x #s(literal 25/3 binary64))))) (.f64 (.f64 (/.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 253/1000 binary64) (/.f64 x #s(literal 25/3 binary64)))) (.f64 (/.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 253/1000 binary64) (/.f64 x #s(literal 25/3 binary64))))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 253/1000 binary64) (/.f64 x #s(literal 25/3 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 253/1000 binary64) (/.f64 x #s(literal 25/3 binary64)))))))
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(.f64 (/.f64 (/.f64 x (/.f64 #s(literal 25/3 binary64) x)) (+.f64 (.f64 x (*.f64 x #s(literal 9/625 binary64))) #s(literal -64009/1000000 binary64))) (/.f64 #s(literal 3/25 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x #s(literal 25/3 binary64)) #s(literal 253/1000 binary64)))))
(.f64 (/.f64 #s(literal 3/25 binary64) (+.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal 15625/27 binary64)) #s(literal -16194277/1000000000 binary64))) (/.f64 (/.f64 x (/.f64 #s(literal 25/3 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 64009/1000000 binary64) (.f64 x #s(literal -759/25000 binary64))) (.f64 x (.f64 x #s(literal 9/625 binary64)))))))
(.f64 (/.f64 #s(literal 3/25 binary64) (+.f64 (.f64 x (*.f64 x #s(literal 9/625 binary64))) #s(literal -64009/1000000 binary64))) (/.f64 (/.f64 x (/.f64 #s(literal 25/3 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x #s(literal 25/3 binary64)) #s(literal 253/1000 binary64)))))
(.f64 (/.f64 (/.f64 x #s(literal 25/3 binary64)) (+.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal 15625/27 binary64)) #s(literal -16194277/1000000000 binary64))) (/.f64 (/.f64 x #s(literal 25/3 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 64009/1000000 binary64) (.f64 x #s(literal -759/25000 binary64))) (.f64 x (.f64 x #s(literal 9/625 binary64)))))))
(.f64 (/.f64 (.f64 x #s(literal 9/625 binary64)) (+.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal 15625/27 binary64)) #s(literal -16194277/1000000000 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 64009/1000000 binary64) (.f64 x #s(literal -759/25000 binary64))) (.f64 x (*.f64 x #s(literal 9/625 binary64)))))))
(.f64 (/.f64 (.f64 x #s(literal 9/625 binary64)) (+.f64 (.f64 x (.f64 x #s(literal 9/625 binary64))) #s(literal -64009/1000000 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x #s(literal 25/3 binary64)) #s(literal 253/1000 binary64)))))
(.f64 (/.f64 (.f64 (.f64 x #s(literal -3/25 binary64)) #s(literal -3/25 binary64)) (+.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal 15625/27 binary64)) #s(literal -16194277/1000000000 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 64009/1000000 binary64) (.f64 x #s(literal -759/25000 binary64))) (.f64 x (.f64 x #s(literal 9/625 binary64)))))))
(.f64 (/.f64 (.f64 (.f64 x #s(literal -3/25 binary64)) #s(literal -3/25 binary64)) (+.f64 (.f64 x (*.f64 x #s(literal 9/625 binary64))) #s(literal -64009/1000000 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x #s(literal 25/3 binary64)) #s(literal 253/1000 binary64)))))
(.f64 (/.f64 (.f64 (/.f64 x #s(literal 25/3 binary64)) #s(literal 3/25 binary64)) (+.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal 15625/27 binary64)) #s(literal -16194277/1000000000 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 64009/1000000 binary64) (.f64 x #s(literal -759/25000 binary64))) (.f64 x (*.f64 x #s(literal 9/625 binary64)))))))
(.f64 (/.f64 (.f64 (/.f64 x #s(literal 25/3 binary64)) #s(literal 3/25 binary64)) (+.f64 (.f64 x (.f64 x #s(literal 9/625 binary64))) #s(literal -64009/1000000 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x #s(literal 25/3 binary64)) #s(literal 253/1000 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 x #s(literal -3/25 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 x #s(literal 25/3 binary64))) #s(literal 2 binary64)))
(pow.f64 (*.f64 x #s(literal -3/25 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 25/3 binary64) x) #s(literal -2 binary64))
(pow.f64 (/.f64 x #s(literal 25/3 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 25/3 binary64) x) (/.f64 #s(literal 25/3 binary64) x)) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal 9/625 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 x (.f64 #s(literal 3/25 binary64) (/.f64 x #s(literal 25/3 binary64))))
(.f64 (.f64 x x) #s(literal 9/625 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 (/.f64 x (/.f64 #s(literal 25/3 binary64) x)) #s(literal 3/25 binary64))
(.f64 #s(literal 9/625 binary64) (.f64 x x))
(*.f64 #s(literal 3/25 binary64) (/.f64 x (/.f64 #s(literal 25/3 binary64) x)))
(*.f64 (/.f64 x #s(literal 25/3 binary64)) (/.f64 x #s(literal 25/3 binary64)))
(.f64 (.f64 x #s(literal 9/625 binary64)) x)
(.f64 (.f64 (*.f64 x #s(literal -3/25 binary64)) #s(literal -3/25 binary64)) x)
(.f64 (.f64 (/.f64 x #s(literal 25/3 binary64)) #s(literal 3/25 binary64)) x)
(exp.f64 (.f64 (log.f64 (/.f64 (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal -3/25 binary64))) x)) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal -3/25 binary64))))) (/.f64 x (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal -3/25 binary64))))))
(neg.f64 (/.f64 x (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal -3/25 binary64))))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal -3/25 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal -3/25 binary64))) x))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal -3/25 binary64))) x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal -3/25 binary64))) x))))
(/.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal -3/25 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal -3/25 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal -3/25 binary64))) x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal -3/25 binary64))) x) #s(literal 1 binary64))))
(/.f64 (.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal -3/25 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal -3/25 binary64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x))) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal -3/25 binary64)))))))
(/.f64 (neg.f64 (.f64 x #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal -3/25 binary64)))))
(pow.f64 (/.f64 (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal -3/25 binary64))) x) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal -3/25 binary64))) x) #s(literal 1 binary64)) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal -3/25 binary64)))))
(.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal -3/25 binary64)))))
(.f64 (-.f64 #s(literal 0 binary64) x) (/.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 253/1000 binary64) (.f64 x #s(literal -3/25 binary64)))) x)
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal -3/25 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(.f64 (/.f64 x (+.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal 15625/27 binary64)) #s(literal 16194277/1000000000 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 x (+.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal 15625/27 binary64)) #s(literal 16194277/1000000000 binary64))) (/.f64 #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 (/.f64 x (+.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 25/3 binary64))))
(.f64 (/.f64 x (+.f64 #s(literal 64009/1000000 binary64) (.f64 x (*.f64 x #s(literal -9/625 binary64))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 253/1000 binary64) (/.f64 x #s(literal 25/3 binary64))))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 25/3 binary64) x)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 x #s(literal -25/3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 25/3 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 25/3 binary64) x) #s(literal 1 binary64)))
(/.f64 x #s(literal 25/3 binary64))
(/.f64 #s(literal -3/25 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 3/25 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -25/3 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -25/3 binary64) x))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal 25/3 binary64) x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal 25/3 binary64))
(pow.f64 (/.f64 #s(literal 25/3 binary64) x) #s(literal -1 binary64))
(pow.f64 (/.f64 x #s(literal 25/3 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 25/3 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 x #s(literal 25/3 binary64)))
(*.f64 x #s(literal 3/25 binary64))
(*.f64 #s(literal -3/25 binary64) (-.f64 #s(literal 0 binary64) x))
(*.f64 #s(literal -3/25 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64)))
(*.f64 #s(literal 3/25 binary64) x)
(*.f64 #s(literal 3/25 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 3/25 binary64))

simplify468.0ms (6.5%)

Algorithm

1×	egg-herbie

Rules

3332×	`+-lowering-+.f64`
3332×	`+-lowering-+.f32`
3132×	`-lowering-.f32`
3132×	`-lowering-.f64`
1366×	`distribute-lft-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	192	1184
1	572	1120
2	1616	1063
3	4300	1044
0	8353	1044

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))
(* 253/1000 x)
(* x (+ 253/1000 (* 3/25 x)))
(* x (+ 253/1000 (* 3/25 x)))
(* x (+ 253/1000 (* 3/25 x)))
(* 3/25 (pow x 2))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(* 3/25 (pow x 2))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
64009/1000000
(+ 64009/1000000 (* -9/625 (pow x 2)))
(+ 64009/1000000 (* -9/625 (pow x 2)))
(+ 64009/1000000 (* -9/625 (pow x 2)))
(* -9/625 (pow x 2))
(* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))
(* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))
(* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))
(* -9/625 (pow x 2))
(* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))
(* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))
(* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))
(* -9/625 (pow x 2))
(* -9/625 (pow x 2))
(* -9/625 (pow x 2))
(* -9/625 (pow x 2))
(* -9/625 (pow x 2))
(* -9/625 (pow x 2))
(* -9/625 (pow x 2))
(* -9/625 (pow x 2))
(* -9/625 (pow x 2))
(* -9/625 (pow x 2))
(* -9/625 (pow x 2))
(* -9/625 (pow x 2))
(* -253/1000 x)
(* -253/1000 x)
(* -253/1000 x)
(* -253/1000 x)
(* -253/1000 x)
(* -253/1000 x)
(* -253/1000 x)
(* -253/1000 x)
(* -253/1000 x)
(* -253/1000 x)
(* -253/1000 x)
(* -253/1000 x)
(* -3/25 (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 (* 72/1265 (pow x 3)))
(+ 1 (* (pow x 3) (+ 72/1265 (* 1728/64009 x))))
(+ 1 (* (pow x 3) (+ 72/1265 (* x (+ 1728/64009 (* 207360/16194277 x))))))
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (/ 55991/120000 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (/ 55991/120000 (pow x 2)) (+ 3/25 (+ (* 253/1000 (/ 1 x)) (* 16194277/14400000 (/ 1 (pow x 3)))))))
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (* 55991/120000 (/ 1 x))) x)) 3/25))
(* (pow x 2) (- (* -1 (/ (+ 253/1000 (* -1 (/ (- 55991/120000 (* 16194277/14400000 (/ 1 x))) x))) x)) 3/25))
(* -72/1265 (pow x 3))
(* (pow x 3) (- (* -1728/64009 x) 72/1265))
(* (pow x 3) (- (* x (- (* -207360/16194277 x) 1728/64009)) 72/1265))
(* (pow x 3) (- (* x (- (* x (- (* -24883200/4097152081 x) 207360/16194277)) 1728/64009)) 72/1265))
(* 3/25 (pow x 2))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(* (pow x 2) (+ 3/25 (+ (/ 64009/120000 (pow x 2)) (* 253/1000 (/ 1 x)))))
(* (pow x 2) (+ 3/25 (+ (/ 64009/120000 (pow x 2)) (+ (* 253/1000 (/ 1 x)) (* 16194277/14400000 (/ 1 (pow x 3)))))))
(* 3/25 (pow x 2))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(* (pow x 2) (+ 3/25 (+ (/ 64009/120000 (pow x 2)) (* 253/1000 (/ 1 x)))))
(* (pow x 2) (+ 3/25 (* -1 (/ (- (* -1 (/ (+ 64009/120000 (* 16194277/14400000 (/ 1 x))) x)) 253/1000) x))))
(* -72/1265 (pow x 2))
(* (pow x 2) (- (* -1728/64009 x) 72/1265))
(* (pow x 2) (- (* x (- (* -207360/16194277 x) 1728/64009)) 72/1265))
(* (pow x 2) (- (* x (- (* x (- (* -24883200/4097152081 x) 207360/16194277)) 1728/64009)) 72/1265))
(* 3/25 x)
(* x (+ 3/25 (* 253/1000 (/ 1 x))))
(* x (+ 3/25 (+ (/ 64009/120000 (pow x 2)) (* 253/1000 (/ 1 x)))))
(* x (+ 3/25 (+ (/ 64009/120000 (pow x 2)) (+ (* 253/1000 (/ 1 x)) (* 16194277/14400000 (/ 1 (pow x 3)))))))
(* 3/25 x)
(* x (+ 3/25 (* 253/1000 (/ 1 x))))
(* -1 (* x (- (* -1 (/ (+ 253/1000 (* 64009/120000 (/ 1 x))) x)) 3/25)))
(* -1 (* x (- (* -1 (/ (+ 253/1000 (+ (* 64009/120000 (/ 1 x)) (/ 16194277/14400000 (pow x 2)))) x)) 3/25)))
(* 9/625 (pow x 2))
(* 9/625 (pow x 2))
(* 9/625 (pow x 2))
(* 9/625 (pow x 2))
(* 9/625 (pow x 2))
(* 9/625 (pow x 2))
(* 9/625 (pow x 2))
(* 9/625 (pow x 2))
(* 9/625 (pow x 2))
(* 9/625 (pow x 2))
(* 9/625 (pow x 2))
(* 9/625 (pow x 2))
(* 1000/253 x)
(* x (+ 1000/253 (* 120000/64009 x)))
(* x (+ 1000/253 (* x (+ 120000/64009 (* 14400000/16194277 x)))))
(* x (+ 1000/253 (* x (+ 120000/64009 (* x (+ 14400000/16194277 (* 1728000000/4097152081 x)))))))
-25/3
(* -1 (+ 25/3 (* 1265/72 (/ 1 x))))
(- (* -1 (/ (+ 1265/72 (* 64009/1728 (/ 1 x))) x)) 25/3)
(- (* -1 (/ (+ 64009/1728 (* 16194277/207360 (/ 1 x))) (pow x 2))) (+ 25/3 (* 1265/72 (/ 1 x))))
-25/3
(* -1 (+ 25/3 (* 1265/72 (/ 1 x))))
(- (* -1 (/ (+ 1265/72 (* 64009/1728 (/ 1 x))) x)) 25/3)
(- (* -1 (/ (+ 1265/72 (+ (* 64009/1728 (/ 1 x)) (/ 16194277/207360 (pow x 2)))) x)) 25/3)
(* 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)))
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(+.f64 #s(literal -25/3 binary64) (/.f64 #s(literal -1265/72 binary64) x))
(- (* -1 (/ (+ 1265/72 (* 64009/1728 (/ 1 x))) x)) 25/3)
(+.f64 (/.f64 (+.f64 #s(literal -1265/72 binary64) (/.f64 #s(literal -64009/1728 binary64) x)) x) #s(literal -25/3 binary64))
(- (* -1 (/ (+ 64009/1728 (* 16194277/207360 (/ 1 x))) (pow x 2))) (+ 25/3 (* 1265/72 (/ 1 x))))
(+.f64 #s(literal -25/3 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 (/.f64 (+.f64 #s(literal 64009/1728 binary64) (/.f64 #s(literal 16194277/207360 binary64) x)) x) #s(literal 1265/72 binary64))))
-25/3
#s(literal -25/3 binary64)
(* -1 (+ 25/3 (* 1265/72 (/ 1 x))))
(+.f64 #s(literal -25/3 binary64) (/.f64 #s(literal -1265/72 binary64) x))
(- (* -1 (/ (+ 1265/72 (* 64009/1728 (/ 1 x))) x)) 25/3)
(+.f64 (/.f64 (+.f64 #s(literal -1265/72 binary64) (/.f64 #s(literal -64009/1728 binary64) x)) x) #s(literal -25/3 binary64))
(- (* -1 (/ (+ 1265/72 (+ (* 64009/1728 (/ 1 x)) (/ 16194277/207360 (pow x 2)))) x)) 25/3)
(+.f64 (/.f64 (+.f64 #s(literal -1265/72 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal 64009/1728 binary64) (/.f64 #s(literal 16194277/207360 binary64) x)))) x) #s(literal -25/3 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))

eval81.0ms (1.1%)

Compiler: Compiled 14292 to 1784 computations (87.5% saved)

prune66.0ms (0.9%)

Pruning

12 alts after pruning (5 fresh and 7 done)

	Pruned	Kept	Total
New	678	3	681
Fresh	2	2	4
Picked	2	3	5
Done	0	4	4
Total	682	12	694

Accuracy

100.0%

Counts

694 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	62.6%	(/.f64 (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -3/25 binary64))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -3/25 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -3/25 binary64))))) (.f64 #s(literal -16194277/1000000000 binary64) (.f64 x (.f64 x x)))) (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -3/25 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -3/25 binary64)))) (-.f64 (.f64 (.f64 x x) #s(literal 64009/1000000 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -3/25 binary64))) (.f64 x #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)))
▶	97.5%	(-.f64 #s(literal 1 binary64) (/.f64 (/.f64 x #s(literal 25/3 binary64)) (/.f64 #s(literal 1 binary64) x)))
✓	97.5%	(-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 25/3 binary64) x)))
▶	55.4%	(-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 64009/1000000 binary64) (.f64 (*.f64 x x) #s(literal -9/625 binary64))) #s(literal -25/3 binary64)))
✓	99.9%	(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))
✓	55.6%	(-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 253/1000 binary64)))
▶	46.0%	(.f64 (.f64 x x) #s(literal -3/25 binary64))
▶	47.0%	(.f64 x (+.f64 #s(literal -253/1000 binary64) (.f64 x #s(literal -3/25 binary64))))
✓	46.0%	(.f64 x (.f64 x #s(literal -3/25 binary64)))
✓	3.9%	(*.f64 #s(literal -253/1000 binary64) x)
✓	53.5%	#s(literal 1 binary64)

Compiler

Compiled 252 to 131 computations (48% saved)

simplify187.0ms (2.6%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	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	256	(-.f64 (.f64 (.f64 x x) #s(literal 64009/1000000 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -3/25 binary64))) (.f64 x #s(literal -253/1000 binary64))))
✓	cost-diff	640	(+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -3/25 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -3/25 binary64)))) (-.f64 (.f64 (.f64 x x) #s(literal 64009/1000000 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -3/25 binary64))) (*.f64 x #s(literal -253/1000 binary64)))))
✓	cost-diff	640	(/.f64 (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -3/25 binary64))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -3/25 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -3/25 binary64))))) (.f64 #s(literal -16194277/1000000000 binary64) (.f64 x (.f64 x x)))) (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -3/25 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -3/25 binary64)))) (-.f64 (.f64 (.f64 x x) #s(literal 64009/1000000 binary64)) (.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 (.f64 x x) #s(literal -9/625 binary64))
✓	cost-diff	0	(+.f64 #s(literal 64009/1000000 binary64) (.f64 (.f64 x x) #s(literal -9/625 binary64)))
✓	cost-diff	128	(.f64 (+.f64 #s(literal 64009/1000000 binary64) (.f64 (*.f64 x x) #s(literal -9/625 binary64))) #s(literal -25/3 binary64))
✓	cost-diff	256	(-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 64009/1000000 binary64) (.f64 (*.f64 x x) #s(literal -9/625 binary64))) #s(literal -25/3 binary64)))
✓	cost-diff	0	(*.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 x x)
✓	cost-diff	0	(.f64 (.f64 x x) #s(literal -3/25 binary64))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) x)
✓	cost-diff	0	(/.f64 x #s(literal 25/3 binary64))
✓	cost-diff	128	(/.f64 (/.f64 x #s(literal 25/3 binary64)) (/.f64 #s(literal 1 binary64) x))
✓	cost-diff	128	(-.f64 #s(literal 1 binary64) (/.f64 (/.f64 x #s(literal 25/3 binary64)) (/.f64 #s(literal 1 binary64) x)))

Rules

2188×	`-lowering-.f32`
2188×	`-lowering-.f64`
1926×	`sum5-define`
1840×	`fma-define`
1780×	`+-lowering-+.f64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	34	272
1	98	249
2	320	230
3	1667	224
4	6765	223
0	8103	223

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(- 1 (/ (/ x 25/3) (/ 1 x)))
1
(/ (/ x 25/3) (/ 1 x))
(/ x 25/3)
x
25/3
(/ 1 x)
(* (* x x) -3/25)
(* x x)
x
-3/25
(* x (+ -253/1000 (* x -3/25)))
x
(+ -253/1000 (* x -3/25))
-253/1000
(* x -3/25)
-3/25
(- 1 (* (+ 64009/1000000 (* (* x x) -9/625)) -25/3))
1
(* (+ 64009/1000000 (* (* x x) -9/625)) -25/3)
(+ 64009/1000000 (* (* x x) -9/625))
64009/1000000
(* (* x x) -9/625)
(* x x)
x
-9/625
-25/3
(/ (+ (* (+ 1 (* (* x x) -3/25)) (* (+ 1 (* (* x x) -3/25)) (+ 1 (* (* x x) -3/25)))) (* -16194277/1000000000 (* x (* x x)))) (+ (* (+ 1 (* (* x x) -3/25)) (+ 1 (* (* x x) -3/25))) (- (* (* x x) 64009/1000000) (* (+ 1 (* (* x x) -3/25)) (* x -253/1000)))))
(+ (* (+ 1 (* (* x x) -3/25)) (* (+ 1 (* (* x x) -3/25)) (+ 1 (* (* x x) -3/25)))) (* -16194277/1000000000 (* x (* x x))))
(* (+ 1 (* (* x x) -3/25)) (* (+ 1 (* (* x x) -3/25)) (+ 1 (* (* x x) -3/25))))
(+ 1 (* (* x x) -3/25))
1
(* (* x x) -3/25)
(* x x)
x
-3/25
(* (+ 1 (* (* x x) -3/25)) (+ 1 (* (* x x) -3/25)))
(* -16194277/1000000000 (* x (* x x)))
-16194277/1000000000
(* x (* x x))
(+ (* (+ 1 (* (* x x) -3/25)) (+ 1 (* (* x x) -3/25))) (- (* (* x x) 64009/1000000) (* (+ 1 (* (* x x) -3/25)) (* x -253/1000))))
(- (* (* x x) 64009/1000000) (* (+ 1 (* (* x x) -3/25)) (* x -253/1000)))
(* (* x x) 64009/1000000)
64009/1000000
(* (+ 1 (* (* x x) -3/25)) (* x -253/1000))
(* x -253/1000)
-253/1000

Outputs
(- 1 (/ (/ x 25/3) (/ 1 x)))
(+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal -25/3 binary64) x)))
1
#s(literal 1 binary64)
(/ (/ x 25/3) (/ 1 x))
(/.f64 x (/.f64 #s(literal 25/3 binary64) x))
(/ x 25/3)
(/.f64 x #s(literal 25/3 binary64))
x
25/3
#s(literal 25/3 binary64)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(* (* 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 (* 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)
(- 1 (* (+ 64009/1000000 (* (* x x) -9/625)) -25/3))
(+.f64 (/.f64 x (/.f64 #s(literal -25/3 binary64) x)) #s(literal 184009/120000 binary64))
1
#s(literal 1 binary64)
(* (+ 64009/1000000 (* (* x x) -9/625)) -25/3)
(+.f64 #s(literal -64009/120000 binary64) (/.f64 x (/.f64 #s(literal 25/3 binary64) x)))
(+ 64009/1000000 (* (* x x) -9/625))
(+.f64 #s(literal 64009/1000000 binary64) (.f64 (.f64 x x) #s(literal -9/625 binary64)))
64009/1000000
#s(literal 64009/1000000 binary64)
(* (* x x) -9/625)
(.f64 (.f64 x x) #s(literal -9/625 binary64))
(* x x)
(*.f64 x x)
x
-9/625
#s(literal -9/625 binary64)
-25/3
#s(literal -25/3 binary64)
(/ (+ (* (+ 1 (* (* x x) -3/25)) (* (+ 1 (* (* x x) -3/25)) (+ 1 (* (* x x) -3/25)))) (* -16194277/1000000000 (* x (* x x)))) (+ (* (+ 1 (* (* x x) -3/25)) (+ 1 (* (* x x) -3/25))) (- (* (* x x) 64009/1000000) (* (+ 1 (* (* x x) -3/25)) (* x -253/1000)))))
(/.f64 (+.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 #s(literal -3/25 binary64) (.f64 (.f64 x x) #s(literal 9/625 binary64))) #s(literal -3/25 binary64))))) (.f64 x (.f64 (.f64 x x) #s(literal -16194277/1000000000 binary64)))) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -55991/1000000 binary64))) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal -25/3 binary64) x)))) (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal -3/25 binary64))))))
(+ (* (+ 1 (* (* x x) -3/25)) (* (+ 1 (* (* x x) -3/25)) (+ 1 (* (* x x) -3/25)))) (* -16194277/1000000000 (* x (* x x))))
(+.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 #s(literal -3/25 binary64) (.f64 (.f64 x x) #s(literal 9/625 binary64))) #s(literal -3/25 binary64))))) (.f64 x (.f64 (.f64 x x) #s(literal -16194277/1000000000 binary64))))
(* (+ 1 (* (* x x) -3/25)) (* (+ 1 (* (* x x) -3/25)) (+ 1 (* (* x x) -3/25))))
(.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 #s(literal -3/25 binary64) (.f64 (*.f64 x x) #s(literal 9/625 binary64))) #s(literal -3/25 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)
(* (+ 1 (* (* x x) -3/25)) (+ 1 (* (* x x) -3/25)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 (+.f64 #s(literal -3/25 binary64) (.f64 (.f64 x x) #s(literal 9/625 binary64))) #s(literal -3/25 binary64))))
(* -16194277/1000000000 (* x (* x x)))
(.f64 x (.f64 (*.f64 x x) #s(literal -16194277/1000000000 binary64)))
-16194277/1000000000
#s(literal -16194277/1000000000 binary64)
(* x (* x x))
(.f64 x (.f64 x x))
(+ (* (+ 1 (* (* x x) -3/25)) (+ 1 (* (* x x) -3/25))) (- (* (* x x) 64009/1000000) (* (+ 1 (* (* x x) -3/25)) (* x -253/1000))))
(+.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -55991/1000000 binary64))) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal -25/3 binary64) x)))) (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal -3/25 binary64)))))
(- (* (* x x) 64009/1000000) (* (+ 1 (* (* x x) -3/25)) (* x -253/1000)))
(+.f64 (.f64 (.f64 x x) (+.f64 #s(literal 64009/1000000 binary64) (.f64 x #s(literal -759/25000 binary64)))) (.f64 x #s(literal 253/1000 binary64)))
(* (* x x) 64009/1000000)
(.f64 x (.f64 x #s(literal 64009/1000000 binary64)))
64009/1000000
#s(literal 64009/1000000 binary64)
(* (+ 1 (* (* x x) -3/25)) (* x -253/1000))
(.f64 x (+.f64 #s(literal -253/1000 binary64) (.f64 x (*.f64 x #s(literal 759/25000 binary64)))))
(* x -253/1000)
(*.f64 x #s(literal -253/1000 binary64))
-253/1000
#s(literal -253/1000 binary64)

localize168.0ms (2.4%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	89.0%	(-.f64 (.f64 (.f64 x x) #s(literal 64009/1000000 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -3/25 binary64))) (.f64 x #s(literal -253/1000 binary64))))
✓	accuracy	88.8%	(+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -3/25 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -3/25 binary64)))) (-.f64 (.f64 (.f64 x x) #s(literal 64009/1000000 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -3/25 binary64))) (*.f64 x #s(literal -253/1000 binary64)))))
✓	accuracy	83.2%	(+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -3/25 binary64))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -3/25 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -3/25 binary64))))) (.f64 #s(literal -16194277/1000000000 binary64) (.f64 x (*.f64 x x))))
✓	accuracy	62.6%	(/.f64 (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -3/25 binary64))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -3/25 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -3/25 binary64))))) (.f64 #s(literal -16194277/1000000000 binary64) (.f64 x (.f64 x x)))) (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -3/25 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -3/25 binary64)))) (-.f64 (.f64 (.f64 x x) #s(literal 64009/1000000 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -3/25 binary64))) (.f64 x #s(literal -253/1000 binary64))))))
✓	accuracy	100.0%	(+.f64 #s(literal 64009/1000000 binary64) (.f64 (.f64 x x) #s(literal -9/625 binary64)))
✓	accuracy	99.8%	(.f64 (+.f64 #s(literal 64009/1000000 binary64) (.f64 (*.f64 x x) #s(literal -9/625 binary64))) #s(literal -25/3 binary64))
✓	accuracy	99.8%	(.f64 (.f64 x x) #s(literal -9/625 binary64))
✓	accuracy	99.2%	(-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 64009/1000000 binary64) (.f64 (*.f64 x x) #s(literal -9/625 binary64))) #s(literal -25/3 binary64)))
✓	accuracy	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	100.0%	(*.f64 x x)
✓	accuracy	99.7%	(.f64 (.f64 x x) #s(literal -3/25 binary64))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) (/.f64 (/.f64 x #s(literal 25/3 binary64)) (/.f64 #s(literal 1 binary64) x)))
✓	accuracy	99.7%	(/.f64 (/.f64 x #s(literal 25/3 binary64)) (/.f64 #s(literal 1 binary64) x))
✓	accuracy	99.3%	(/.f64 x #s(literal 25/3 binary64))

Results

108.0ms

256×

valid

Compiler

Compiled 331 to 35 computations (89.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 68.0ms

...c/correct-round.rkt:119:19: 28.0ms (41.2% of total)

ival-mult: 23.0ms (33.8% of total)

ival-div: 7.0ms (10.3% of total)

ival-add: 6.0ms (8.8% of total)

ival-sub: 4.0ms (5.9% of total)

const: 0.0ms (0% of total)

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

series10.0ms (0.1%)

Counts

18 → 216

Calls

Call 1

Inputs
#<alt (- 1 (/ (/ x 25/3) (/ 1 x)))>
#<alt (/ (/ x 25/3) (/ 1 x))>
#<alt (/ x 25/3)>
#<alt (/ 1 x)>
#<alt (* (* x x) -3/25)>
#<alt (* x x)>
#<alt (* x (+ -253/1000 (* x -3/25)))>
#<alt (+ -253/1000 (* x -3/25))>
#<alt (* x -3/25)>
#<alt (- 1 (* (+ 64009/1000000 (* (* x x) -9/625)) -25/3))>
#<alt (* (+ 64009/1000000 (* (* x x) -9/625)) -25/3)>
#<alt (+ 64009/1000000 (* (* x x) -9/625))>
#<alt (* (* x x) -9/625)>
#<alt (/ (+ (* (+ 1 (* (* x x) -3/25)) (* (+ 1 (* (* x x) -3/25)) (+ 1 (* (* x x) -3/25)))) (* -16194277/1000000000 (* x (* x x)))) (+ (* (+ 1 (* (* x x) -3/25)) (+ 1 (* (* x x) -3/25))) (- (* (* x x) 64009/1000000) (* (+ 1 (* (* x x) -3/25)) (* x -253/1000)))))>
#<alt (+ (* (+ 1 (* (* x x) -3/25)) (+ 1 (* (* x x) -3/25))) (- (* (* x x) 64009/1000000) (* (+ 1 (* (* x x) -3/25)) (* x -253/1000))))>
#<alt (- (* (* x x) 64009/1000000) (* (+ 1 (* (* x x) -3/25)) (* x -253/1000)))>
#<alt (* (+ 1 (* (* x x) -3/25)) (* x -253/1000))>
#<alt (+ (* (+ 1 (* (* x x) -3/25)) (* (+ 1 (* (* x x) -3/25)) (+ 1 (* (* x x) -3/25)))) (* -16194277/1000000000 (* x (* x x))))>

Outputs
#<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 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 (* -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 (* 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 184009/120000>
#<alt (+ 184009/120000 (* -3/25 (pow x 2)))>
#<alt (+ 184009/120000 (* -3/25 (pow x 2)))>
#<alt (+ 184009/120000 (* -3/25 (pow x 2)))>
#<alt (* -3/25 (pow x 2))>
#<alt (* (pow x 2) (- (* 184009/120000 (/ 1 (pow x 2))) 3/25))>
#<alt (* (pow x 2) (- (* 184009/120000 (/ 1 (pow x 2))) 3/25))>
#<alt (* (pow x 2) (- (* 184009/120000 (/ 1 (pow x 2))) 3/25))>
#<alt (* -3/25 (pow x 2))>
#<alt (* (pow x 2) (- (* 184009/120000 (/ 1 (pow x 2))) 3/25))>
#<alt (* (pow x 2) (- (* 184009/120000 (/ 1 (pow x 2))) 3/25))>
#<alt (* (pow x 2) (- (* 184009/120000 (/ 1 (pow x 2))) 3/25))>
#<alt -64009/120000>
#<alt (- (* 3/25 (pow x 2)) 64009/120000)>
#<alt (- (* 3/25 (pow x 2)) 64009/120000)>
#<alt (- (* 3/25 (pow x 2)) 64009/120000)>
#<alt (* 3/25 (pow x 2))>
#<alt (* (pow x 2) (- 3/25 (* 64009/120000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 3/25 (* 64009/120000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 3/25 (* 64009/120000 (/ 1 (pow x 2)))))>
#<alt (* 3/25 (pow x 2))>
#<alt (* (pow x 2) (- 3/25 (* 64009/120000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 3/25 (* 64009/120000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 3/25 (* 64009/120000 (/ 1 (pow x 2)))))>
#<alt 64009/1000000>
#<alt (+ 64009/1000000 (* -9/625 (pow x 2)))>
#<alt (+ 64009/1000000 (* -9/625 (pow x 2)))>
#<alt (+ 64009/1000000 (* -9/625 (pow x 2)))>
#<alt (* -9/625 (pow x 2))>
#<alt (* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))>
#<alt (* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))>
#<alt (* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))>
#<alt (* -9/625 (pow x 2))>
#<alt (* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))>
#<alt (* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))>
#<alt (* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))>
#<alt (* -9/625 (pow x 2))>
#<alt (* -9/625 (pow x 2))>
#<alt (* -9/625 (pow x 2))>
#<alt (* -9/625 (pow x 2))>
#<alt (* -9/625 (pow x 2))>
#<alt (* -9/625 (pow x 2))>
#<alt (* -9/625 (pow x 2))>
#<alt (* -9/625 (pow x 2))>
#<alt (* -9/625 (pow x 2))>
#<alt (* -9/625 (pow x 2))>
#<alt (* -9/625 (pow x 2))>
#<alt (* -9/625 (pow x 2))>
#<alt 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 (* -175991/1000000 x))))>
#<alt (+ 1 (* x (+ 253/1000 (* x (- (* -759/25000 x) 175991/1000000)))))>
#<alt (* 9/625 (pow x 4))>
#<alt (* (pow x 4) (- 9/625 (* 759/25000 (/ 1 x))))>
#<alt (* (pow x 4) (+ 9/625 (* -1 (/ (+ 759/25000 (* 175991/1000000 (/ 1 x))) x))))>
#<alt (* (pow x 4) (- (+ 9/625 (* 253/1000 (/ 1 (pow x 3)))) (+ (/ 175991/1000000 (pow x 2)) (* 759/25000 (/ 1 x)))))>
#<alt (* 9/625 (pow x 4))>
#<alt (* (pow x 4) (- 9/625 (* 759/25000 (/ 1 x))))>
#<alt (* (pow x 4) (+ 9/625 (* -1 (/ (+ 759/25000 (* 175991/1000000 (/ 1 x))) x))))>
#<alt (* (pow x 4) (+ 9/625 (* -1 (/ (+ 759/25000 (* -1 (/ (- (* 253/1000 (/ 1 x)) 175991/1000000) x))) x))))>
#<alt (* 253/1000 x)>
#<alt (* x (+ 253/1000 (* 64009/1000000 x)))>
#<alt (* x (+ 253/1000 (* x (+ 64009/1000000 (* -759/25000 x)))))>
#<alt (* x (+ 253/1000 (* x (+ 64009/1000000 (* -759/25000 x)))))>
#<alt (* -759/25000 (pow x 3))>
#<alt (* (pow x 3) (- (* 64009/1000000 (/ 1 x)) 759/25000))>
#<alt (* (pow x 3) (- (+ (/ 253/1000 (pow x 2)) (* 64009/1000000 (/ 1 x))) 759/25000))>
#<alt (* (pow x 3) (- (+ (/ 253/1000 (pow x 2)) (* 64009/1000000 (/ 1 x))) 759/25000))>
#<alt (* -759/25000 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 759/25000 (* 64009/1000000 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (+ 759/25000 (* -1 (/ (+ 64009/1000000 (* 253/1000 (/ 1 x))) x)))))>
#<alt (* -1 (* (pow x 3) (+ 759/25000 (* -1 (/ (+ 64009/1000000 (* 253/1000 (/ 1 x))) x)))))>
#<alt (* -253/1000 x)>
#<alt (* x (- (* 759/25000 (pow x 2)) 253/1000))>
#<alt (* x (- (* 759/25000 (pow x 2)) 253/1000))>
#<alt (* x (- (* 759/25000 (pow x 2)) 253/1000))>
#<alt (* 759/25000 (pow x 3))>
#<alt (* (pow x 3) (- 759/25000 (* 253/1000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (- 759/25000 (* 253/1000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (- 759/25000 (* 253/1000 (/ 1 (pow x 2)))))>
#<alt (* 759/25000 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- (* 253/1000 (/ 1 (pow x 2))) 759/25000)))>
#<alt (* -1 (* (pow x 3) (- (* 253/1000 (/ 1 (pow x 2))) 759/25000)))>
#<alt (* -1 (* (pow x 3) (- (* 253/1000 (/ 1 (pow x 2))) 759/25000)))>
#<alt 1>
#<alt (+ 1 (* -9/25 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* -16194277/1000000000 x) 9/25)))>
#<alt (+ 1 (* (pow x 2) (- (* x (- (* 27/625 x) 16194277/1000000000)) 9/25)))>
#<alt (* -27/15625 (pow x 6))>
#<alt (* (pow x 6) (- (* 27/625 (/ 1 (pow x 2))) 27/15625))>
#<alt (* (pow x 6) (- (* 27/625 (/ 1 (pow x 2))) (+ 27/15625 (/ 16194277/1000000000 (pow x 3)))))>
#<alt (* (pow x 6) (- (+ (* -1 (/ (+ 16194277/1000000000 (* 9/25 (/ 1 x))) (pow x 3))) (* 27/625 (/ 1 (pow x 2)))) 27/15625))>
#<alt (* -27/15625 (pow x 6))>
#<alt (* (pow x 6) (- (* 27/625 (/ 1 (pow x 2))) 27/15625))>
#<alt (* (pow x 6) (- (* 27/625 (/ 1 (pow x 2))) (+ 27/15625 (/ 16194277/1000000000 (pow x 3)))))>
#<alt (* (pow x 6) (- (+ (* -1 (/ (+ 16194277/1000000000 (* 9/25 (/ 1 x))) (pow x 3))) (* 27/625 (/ 1 (pow x 2)))) 27/15625))>

Calls

54 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(- 1 (* (+ 64009/1000000 (* (* x x) -9/625)) -25/3))
1.0ms	x	@	inf	(/ (+ (* (+ 1 (* (* x x) -3/25)) (* (+ 1 (* (* x x) -3/25)) (+ 1 (* (* x x) -3/25)))) (* -16194277/1000000000 (* x (* x x)))) (+ (* (+ 1 (* (* x x) -3/25)) (+ 1 (* (* x x) -3/25))) (- (* (* x x) 64009/1000000) (* (+ 1 (* (* x x) -3/25)) (* x -253/1000)))))
1.0ms	x	@	0	(/ (+ (* (+ 1 (* (* x x) -3/25)) (* (+ 1 (* (* x x) -3/25)) (+ 1 (* (* x x) -3/25)))) (* -16194277/1000000000 (* x (* x x)))) (+ (* (+ 1 (* (* x x) -3/25)) (+ 1 (* (* x x) -3/25))) (- (* (* x x) 64009/1000000) (* (+ 1 (* (* x x) -3/25)) (* x -253/1000)))))
0.0ms	x	@	inf	(+ (* (+ 1 (* (* x x) -3/25)) (* (+ 1 (* (* x x) -3/25)) (+ 1 (* (* x x) -3/25)))) (* -16194277/1000000000 (* x (* x x))))
0.0ms	x	@	-inf	(/ (+ (* (+ 1 (* (* x x) -3/25)) (* (+ 1 (* (* x x) -3/25)) (+ 1 (* (* x x) -3/25)))) (* -16194277/1000000000 (* x (* x x)))) (+ (* (+ 1 (* (* x x) -3/25)) (+ 1 (* (* x x) -3/25))) (- (* (* x x) 64009/1000000) (* (+ 1 (* (* x x) -3/25)) (* x -253/1000)))))

rewrite402.0ms (5.6%)

Algorithm

1×	batch-egg-rewrite

Rules

5336×	`-lowering-.f32`
5336×	`-lowering-.f64`
2670×	`/-lowering-/.f32`
2670×	`/-lowering-/.f64`
2042×	`--lowering--.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	34	184
1	231	166
2	2233	163
0	10065	163

Stop Event

1×	iter limit
1×	node limit

Counts

18 → 423

Calls

Call 1

Inputs
(- 1 (/ (/ x 25/3) (/ 1 x)))
(/ (/ x 25/3) (/ 1 x))
(/ x 25/3)
(/ 1 x)
(* (* x x) -3/25)
(* x x)
(* x (+ -253/1000 (* x -3/25)))
(+ -253/1000 (* x -3/25))
(* x -3/25)
(- 1 (* (+ 64009/1000000 (* (* x x) -9/625)) -25/3))
(* (+ 64009/1000000 (* (* x x) -9/625)) -25/3)
(+ 64009/1000000 (* (* x x) -9/625))
(* (* x x) -9/625)
(/ (+ (* (+ 1 (* (* x x) -3/25)) (* (+ 1 (* (* x x) -3/25)) (+ 1 (* (* x x) -3/25)))) (* -16194277/1000000000 (* x (* x x)))) (+ (* (+ 1 (* (* x x) -3/25)) (+ 1 (* (* x x) -3/25))) (- (* (* x x) 64009/1000000) (* (+ 1 (* (* x x) -3/25)) (* x -253/1000)))))
(+ (* (+ 1 (* (* x x) -3/25)) (+ 1 (* (* x x) -3/25))) (- (* (* x x) 64009/1000000) (* (+ 1 (* (* x x) -3/25)) (* x -253/1000))))
(- (* (* x x) 64009/1000000) (* (+ 1 (* (* x x) -3/25)) (* x -253/1000)))
(* (+ 1 (* (* x x) -3/25)) (* x -253/1000))
(+ (* (+ 1 (* (* x x) -3/25)) (* (+ 1 (* (* x x) -3/25)) (+ 1 (* (* x x) -3/25)))) (* -16194277/1000000000 (* x (* x x))))

Outputs
(+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 x #s(literal -25/3 binary64))))
(+.f64 (*.f64 x (/.f64 x #s(literal -25/3 binary64))) #s(literal 1 binary64))
(exp.f64 (.f64 (log1p.f64 (.f64 x (/.f64 x #s(literal -25/3 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 #s(literal 3/25 binary64) (.f64 x x)))) (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9/625 binary64))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 3/25 binary64) (.f64 x x)))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (/.f64 x #s(literal -25/3 binary64))) (-.f64 (.f64 x (/.f64 x #s(literal -25/3 binary64))) #s(literal 1 binary64))))) (/.f64 (/.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 15625/27 binary64) (.f64 x (.f64 x x)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (/.f64 x #s(literal -25/3 binary64))) (-.f64 (.f64 x (/.f64 x #s(literal -25/3 binary64))) #s(literal 1 binary64))))))
(fma.f64 #s(literal 1 binary64) (*.f64 x (/.f64 x #s(literal -25/3 binary64))) #s(literal 1 binary64))
(fma.f64 x (/.f64 x #s(literal -25/3 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 x #s(literal 25/3 binary64)) (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64))
(fma.f64 (*.f64 x 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 (/.f64 x #s(literal -25/3 binary64))) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (/.f64 x #s(literal -25/3 binary64)) x #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 x (/.f64 #s(literal 25/3 binary64) x)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (/.f64 x #s(literal -25/3 binary64))) (-.f64 (.f64 x (/.f64 x #s(literal -25/3 binary64))) #s(literal 1 binary64)))) (+.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 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 3/25 binary64) (.f64 x x))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9/625 binary64))))))
(/.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 (.f64 x (/.f64 x #s(literal -25/3 binary64))) (-.f64 (*.f64 x (/.f64 x #s(literal -25/3 binary64))) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 15625/27 binary64) (.f64 x (.f64 x x))))) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9/625 binary64))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 3/25 binary64) (.f64 x 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 3/25 binary64) (.f64 x x))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 15625/27 binary64) (.f64 x (.f64 x x)))))) (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (/.f64 x #s(literal -25/3 binary64))) (-.f64 (*.f64 x (/.f64 x #s(literal -25/3 binary64))) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9/625 binary64))))) (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 3/25 binary64) (.f64 x x)))))
(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9/625 binary64))) #s(literal 1 binary64)) (-.f64 (*.f64 x (/.f64 x #s(literal -25/3 binary64))) #s(literal 1 binary64)))
(/.f64 (.f64 #s(literal 1 binary64) (+.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 (.f64 x (/.f64 x #s(literal -25/3 binary64))) (-.f64 (.f64 x (/.f64 x #s(literal -25/3 binary64))) #s(literal 1 binary64)))))
(/.f64 (.f64 #s(literal 1 binary64) (-.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 3/25 binary64) (*.f64 x x))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 15625/27 binary64) (.f64 x (.f64 x x))))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (/.f64 x #s(literal -25/3 binary64))) (-.f64 (.f64 x (/.f64 x #s(literal -25/3 binary64))) #s(literal 1 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9/625 binary64)))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 3/25 binary64) (*.f64 x x))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 3/25 binary64) (.f64 x x)))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 3/25 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9/625 binary64))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 3/25 binary64) (.f64 x x))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 3/25 binary64) (*.f64 x x)))))
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(.f64 (-.f64 (.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (/.f64 x #s(literal -25/3 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 x (/.f64 x #s(literal -25/3 binary64))))) (.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (/.f64 x #s(literal -25/3 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 x (/.f64 x #s(literal -25/3 binary64))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (/.f64 x #s(literal -25/3 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 x (/.f64 x #s(literal -25/3 binary64))))))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 262254607552729/1000000000000000000 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (/.f64 x #s(literal -25/3 binary64)))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (/.f64 x #s(literal -25/3 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 x (/.f64 x #s(literal -25/3 binary64)))))) (.f64 #s(literal 16194277/1000000000 binary64) (.f64 x (.f64 x x))))))

simplify250.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

3384×	`-lowering-.f32`
3384×	`-lowering-.f64`
2012×	`+-lowering-+.f64`
2012×	`+-lowering-+.f32`
1366×	`/-lowering-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	170	1256
1	477	1201
2	1338	1193
3	3493	1185
0	8258	1185

Stop Event

1×	iter limit
1×	node limit

Counts

216 → 216

Calls

Call 1

Inputs
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 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(* -3/25 (pow x 2))
(* -3/25 (pow x 2))
(* -3/25 (pow x 2))
(* -3/25 (pow x 2))
(* -3/25 (pow x 2))
(* -3/25 (pow x 2))
(* -3/25 (pow x 2))
(* -3/25 (pow x 2))
(* -3/25 (pow x 2))
(* -3/25 (pow x 2))
(* -3/25 (pow x 2))
(* -3/25 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* -253/1000 x)
(* x (- (* -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)
184009/120000
(+ 184009/120000 (* -3/25 (pow x 2)))
(+ 184009/120000 (* -3/25 (pow x 2)))
(+ 184009/120000 (* -3/25 (pow x 2)))
(* -3/25 (pow x 2))
(* (pow x 2) (- (* 184009/120000 (/ 1 (pow x 2))) 3/25))
(* (pow x 2) (- (* 184009/120000 (/ 1 (pow x 2))) 3/25))
(* (pow x 2) (- (* 184009/120000 (/ 1 (pow x 2))) 3/25))
(* -3/25 (pow x 2))
(* (pow x 2) (- (* 184009/120000 (/ 1 (pow x 2))) 3/25))
(* (pow x 2) (- (* 184009/120000 (/ 1 (pow x 2))) 3/25))
(* (pow x 2) (- (* 184009/120000 (/ 1 (pow x 2))) 3/25))
-64009/120000
(- (* 3/25 (pow x 2)) 64009/120000)
(- (* 3/25 (pow x 2)) 64009/120000)
(- (* 3/25 (pow x 2)) 64009/120000)
(* 3/25 (pow x 2))
(* (pow x 2) (- 3/25 (* 64009/120000 (/ 1 (pow x 2)))))
(* (pow x 2) (- 3/25 (* 64009/120000 (/ 1 (pow x 2)))))
(* (pow x 2) (- 3/25 (* 64009/120000 (/ 1 (pow x 2)))))
(* 3/25 (pow x 2))
(* (pow x 2) (- 3/25 (* 64009/120000 (/ 1 (pow x 2)))))
(* (pow x 2) (- 3/25 (* 64009/120000 (/ 1 (pow x 2)))))
(* (pow x 2) (- 3/25 (* 64009/120000 (/ 1 (pow x 2)))))
64009/1000000
(+ 64009/1000000 (* -9/625 (pow x 2)))
(+ 64009/1000000 (* -9/625 (pow x 2)))
(+ 64009/1000000 (* -9/625 (pow x 2)))
(* -9/625 (pow x 2))
(* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))
(* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))
(* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))
(* -9/625 (pow x 2))
(* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))
(* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))
(* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))
(* -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))
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 (* -175991/1000000 x))))
(+ 1 (* x (+ 253/1000 (* x (- (* -759/25000 x) 175991/1000000)))))
(* 9/625 (pow x 4))
(* (pow x 4) (- 9/625 (* 759/25000 (/ 1 x))))
(* (pow x 4) (+ 9/625 (* -1 (/ (+ 759/25000 (* 175991/1000000 (/ 1 x))) x))))
(* (pow x 4) (- (+ 9/625 (* 253/1000 (/ 1 (pow x 3)))) (+ (/ 175991/1000000 (pow x 2)) (* 759/25000 (/ 1 x)))))
(* 9/625 (pow x 4))
(* (pow x 4) (- 9/625 (* 759/25000 (/ 1 x))))
(* (pow x 4) (+ 9/625 (* -1 (/ (+ 759/25000 (* 175991/1000000 (/ 1 x))) x))))
(* (pow x 4) (+ 9/625 (* -1 (/ (+ 759/25000 (* -1 (/ (- (* 253/1000 (/ 1 x)) 175991/1000000) x))) x))))
(* 253/1000 x)
(* x (+ 253/1000 (* 64009/1000000 x)))
(* x (+ 253/1000 (* x (+ 64009/1000000 (* -759/25000 x)))))
(* x (+ 253/1000 (* x (+ 64009/1000000 (* -759/25000 x)))))
(* -759/25000 (pow x 3))
(* (pow x 3) (- (* 64009/1000000 (/ 1 x)) 759/25000))
(* (pow x 3) (- (+ (/ 253/1000 (pow x 2)) (* 64009/1000000 (/ 1 x))) 759/25000))
(* (pow x 3) (- (+ (/ 253/1000 (pow x 2)) (* 64009/1000000 (/ 1 x))) 759/25000))
(* -759/25000 (pow x 3))
(* -1 (* (pow x 3) (- 759/25000 (* 64009/1000000 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 759/25000 (* -1 (/ (+ 64009/1000000 (* 253/1000 (/ 1 x))) x)))))
(* -1 (* (pow x 3) (+ 759/25000 (* -1 (/ (+ 64009/1000000 (* 253/1000 (/ 1 x))) x)))))
(* -253/1000 x)
(* x (- (* 759/25000 (pow x 2)) 253/1000))
(* x (- (* 759/25000 (pow x 2)) 253/1000))
(* x (- (* 759/25000 (pow x 2)) 253/1000))
(* 759/25000 (pow x 3))
(* (pow x 3) (- 759/25000 (* 253/1000 (/ 1 (pow x 2)))))
(* (pow x 3) (- 759/25000 (* 253/1000 (/ 1 (pow x 2)))))
(* (pow x 3) (- 759/25000 (* 253/1000 (/ 1 (pow x 2)))))
(* 759/25000 (pow x 3))
(* -1 (* (pow x 3) (- (* 253/1000 (/ 1 (pow x 2))) 759/25000)))
(* -1 (* (pow x 3) (- (* 253/1000 (/ 1 (pow x 2))) 759/25000)))
(* -1 (* (pow x 3) (- (* 253/1000 (/ 1 (pow x 2))) 759/25000)))
1
(+ 1 (* -9/25 (pow x 2)))
(+ 1 (* (pow x 2) (- (* -16194277/1000000000 x) 9/25)))
(+ 1 (* (pow x 2) (- (* x (- (* 27/625 x) 16194277/1000000000)) 9/25)))
(* -27/15625 (pow x 6))
(* (pow x 6) (- (* 27/625 (/ 1 (pow x 2))) 27/15625))
(* (pow x 6) (- (* 27/625 (/ 1 (pow x 2))) (+ 27/15625 (/ 16194277/1000000000 (pow x 3)))))
(* (pow x 6) (- (+ (* -1 (/ (+ 16194277/1000000000 (* 9/25 (/ 1 x))) (pow x 3))) (* 27/625 (/ 1 (pow x 2)))) 27/15625))
(* -27/15625 (pow x 6))
(* (pow x 6) (- (* 27/625 (/ 1 (pow x 2))) 27/15625))
(* (pow x 6) (- (* 27/625 (/ 1 (pow x 2))) (+ 27/15625 (/ 16194277/1000000000 (pow x 3)))))
(* (pow x 6) (- (+ (* -1 (/ (+ 16194277/1000000000 (* 9/25 (/ 1 x))) (pow x 3))) (* 27/625 (/ 1 (pow x 2)))) 27/15625))

Outputs
1
#s(literal 1 binary64)
(+ 1 (* -3/25 (pow x 2)))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -3/25 binary64) (.f64 x x)))
(+ 1 (* -3/25 (pow x 2)))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -3/25 binary64) (.f64 x x)))
(+ 1 (* -3/25 (pow x 2)))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -3/25 binary64) (.f64 x x)))
(* -3/25 (pow x 2))
(.f64 #s(literal -3/25 binary64) (.f64 x x))
(* (pow x 2) (- (/ 1 (pow x 2)) 3/25))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -3/25 binary64) (.f64 x x)))
(* (pow x 2) (- (/ 1 (pow x 2)) 3/25))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -3/25 binary64) (.f64 x x)))
(* (pow x 2) (- (/ 1 (pow x 2)) 3/25))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -3/25 binary64) (.f64 x x)))
(* -3/25 (pow x 2))
(.f64 #s(literal -3/25 binary64) (.f64 x x))
(* (pow x 2) (- (/ 1 (pow x 2)) 3/25))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -3/25 binary64) (.f64 x x)))
(* (pow x 2) (- (/ 1 (pow x 2)) 3/25))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -3/25 binary64) (.f64 x x)))
(* (pow x 2) (- (/ 1 (pow x 2)) 3/25))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -3/25 binary64) (.f64 x x)))
(* 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))
(* 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 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)
(* -3/25 (pow x 2))
(.f64 #s(literal -3/25 binary64) (.f64 x x))
(* -3/25 (pow x 2))
(.f64 #s(literal -3/25 binary64) (.f64 x x))
(* -3/25 (pow x 2))
(.f64 #s(literal -3/25 binary64) (.f64 x x))
(* -3/25 (pow x 2))
(.f64 #s(literal -3/25 binary64) (.f64 x x))
(* -3/25 (pow x 2))
(.f64 #s(literal -3/25 binary64) (.f64 x x))
(* -3/25 (pow x 2))
(.f64 #s(literal -3/25 binary64) (.f64 x x))
(* -3/25 (pow x 2))
(.f64 #s(literal -3/25 binary64) (.f64 x x))
(* -3/25 (pow x 2))
(.f64 #s(literal -3/25 binary64) (.f64 x x))
(* -3/25 (pow x 2))
(.f64 #s(literal -3/25 binary64) (.f64 x x))
(* -3/25 (pow x 2))
(.f64 #s(literal -3/25 binary64) (.f64 x x))
(* -3/25 (pow x 2))
(.f64 #s(literal -3/25 binary64) (.f64 x x))
(* -3/25 (pow x 2))
(.f64 #s(literal -3/25 binary64) (.f64 x x))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* -253/1000 x)
(*.f64 x #s(literal -253/1000 binary64))
(* x (- (* -3/25 x) 253/1000))
(.f64 x (+.f64 #s(literal -253/1000 binary64) (.f64 #s(literal -3/25 binary64) x)))
(* x (- (* -3/25 x) 253/1000))
(.f64 x (+.f64 #s(literal -253/1000 binary64) (.f64 #s(literal -3/25 binary64) x)))
(* x (- (* -3/25 x) 253/1000))
(.f64 x (+.f64 #s(literal -253/1000 binary64) (.f64 #s(literal -3/25 binary64) x)))
(* -3/25 (pow x 2))
(.f64 #s(literal -3/25 binary64) (.f64 x x))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(.f64 x (+.f64 #s(literal -253/1000 binary64) (.f64 #s(literal -3/25 binary64) x)))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(.f64 x (+.f64 #s(literal -253/1000 binary64) (.f64 #s(literal -3/25 binary64) x)))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(.f64 x (+.f64 #s(literal -253/1000 binary64) (.f64 #s(literal -3/25 binary64) x)))
(* -3/25 (pow x 2))
(.f64 #s(literal -3/25 binary64) (.f64 x x))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(.f64 x (+.f64 #s(literal -253/1000 binary64) (.f64 #s(literal -3/25 binary64) x)))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(.f64 x (+.f64 #s(literal -253/1000 binary64) (.f64 #s(literal -3/25 binary64) x)))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(.f64 x (+.f64 #s(literal -253/1000 binary64) (.f64 #s(literal -3/25 binary64) x)))
-253/1000
#s(literal -253/1000 binary64)
(- (* -3/25 x) 253/1000)
(+.f64 #s(literal -253/1000 binary64) (*.f64 #s(literal -3/25 binary64) x))
(- (* -3/25 x) 253/1000)
(+.f64 #s(literal -253/1000 binary64) (*.f64 #s(literal -3/25 binary64) x))
(- (* -3/25 x) 253/1000)
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(* -3/25 x)
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(* -3/25 x)
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(*.f64 #s(literal -3/25 binary64) x)
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(* -3/25 x)
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184009/120000
#s(literal 184009/120000 binary64)
(+ 184009/120000 (* -3/25 (pow x 2)))
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(-.f64 #s(literal 184009/120000 binary64) (.f64 (.f64 x x) #s(literal 3/25 binary64)))
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(-.f64 #s(literal 184009/120000 binary64) (.f64 (.f64 x x) #s(literal 3/25 binary64)))
(* -3/25 (pow x 2))
(.f64 #s(literal -3/25 binary64) (.f64 x x))
(* (pow x 2) (- (* 184009/120000 (/ 1 (pow x 2))) 3/25))
(-.f64 #s(literal 184009/120000 binary64) (.f64 (.f64 x x) #s(literal 3/25 binary64)))
(* (pow x 2) (- (* 184009/120000 (/ 1 (pow x 2))) 3/25))
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(* (pow x 2) (- (* 184009/120000 (/ 1 (pow x 2))) 3/25))
(-.f64 #s(literal 184009/120000 binary64) (.f64 (.f64 x x) #s(literal 3/25 binary64)))
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(* (pow x 2) (- (* 184009/120000 (/ 1 (pow x 2))) 3/25))
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#s(literal -64009/120000 binary64)
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(* (pow x 2) (- 3/25 (* 64009/120000 (/ 1 (pow x 2)))))
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(* (pow x 2) (- 3/25 (* 64009/120000 (/ 1 (pow x 2)))))
(+.f64 (.f64 (.f64 x x) #s(literal 3/25 binary64)) #s(literal -64009/120000 binary64))
64009/1000000
#s(literal 64009/1000000 binary64)
(+ 64009/1000000 (* -9/625 (pow x 2)))
(+.f64 #s(literal 64009/1000000 binary64) (.f64 (.f64 x x) #s(literal -9/625 binary64)))
(+ 64009/1000000 (* -9/625 (pow x 2)))
(+.f64 #s(literal 64009/1000000 binary64) (.f64 (.f64 x x) #s(literal -9/625 binary64)))
(+ 64009/1000000 (* -9/625 (pow x 2)))
(+.f64 #s(literal 64009/1000000 binary64) (.f64 (.f64 x x) #s(literal -9/625 binary64)))
(* -9/625 (pow x 2))
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(* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))
(+.f64 #s(literal 64009/1000000 binary64) (.f64 (.f64 x x) #s(literal -9/625 binary64)))
(* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))
(+.f64 #s(literal 64009/1000000 binary64) (.f64 (.f64 x x) #s(literal -9/625 binary64)))
(* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))
(+.f64 #s(literal 64009/1000000 binary64) (.f64 (.f64 x x) #s(literal -9/625 binary64)))
(* -9/625 (pow x 2))
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(* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))
(+.f64 #s(literal 64009/1000000 binary64) (.f64 (.f64 x x) #s(literal -9/625 binary64)))
(* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))
(+.f64 #s(literal 64009/1000000 binary64) (.f64 (.f64 x x) #s(literal -9/625 binary64)))
(* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))
(+.f64 #s(literal 64009/1000000 binary64) (.f64 (.f64 x x) #s(literal -9/625 binary64)))
(* -9/625 (pow x 2))
(.f64 (.f64 x x) #s(literal -9/625 binary64))
(* -9/625 (pow x 2))
(.f64 (.f64 x x) #s(literal -9/625 binary64))
(* -9/625 (pow x 2))
(.f64 (.f64 x x) #s(literal -9/625 binary64))
(* -9/625 (pow x 2))
(.f64 (.f64 x x) #s(literal -9/625 binary64))
(* -9/625 (pow x 2))
(.f64 (.f64 x x) #s(literal -9/625 binary64))
(* -9/625 (pow x 2))
(.f64 (.f64 x x) #s(literal -9/625 binary64))
(* -9/625 (pow x 2))
(.f64 (.f64 x x) #s(literal -9/625 binary64))
(* -9/625 (pow x 2))
(.f64 (.f64 x x) #s(literal -9/625 binary64))
(* -9/625 (pow x 2))
(.f64 (.f64 x x) #s(literal -9/625 binary64))
(* -9/625 (pow x 2))
(.f64 (.f64 x x) #s(literal -9/625 binary64))
(* -9/625 (pow x 2))
(.f64 (.f64 x x) #s(literal -9/625 binary64))
(* -9/625 (pow x 2))
(.f64 (.f64 x x) #s(literal -9/625 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -253/1000 x))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -253/1000 binary64)))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -253/1000 binary64) (.f64 #s(literal -3/25 binary64) x))))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -253/1000 binary64) (.f64 #s(literal -3/25 binary64) x))))
(* -3/25 (pow x 2))
(.f64 #s(literal -3/25 binary64) (.f64 x x))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(.f64 x (+.f64 #s(literal -253/1000 binary64) (.f64 #s(literal -3/25 binary64) x)))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -253/1000 binary64) (.f64 #s(literal -3/25 binary64) x))))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -253/1000 binary64) (.f64 #s(literal -3/25 binary64) x))))
(* -3/25 (pow x 2))
(.f64 #s(literal -3/25 binary64) (.f64 x x))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(.f64 x (+.f64 #s(literal -253/1000 binary64) (.f64 #s(literal -3/25 binary64) x)))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -253/1000 binary64) (.f64 #s(literal -3/25 binary64) x))))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -253/1000 binary64) (.f64 #s(literal -3/25 binary64) x))))
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 (* -175991/1000000 x))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal -175991/1000000 binary64)))))
(+ 1 (* x (+ 253/1000 (* x (- (* -759/25000 x) 175991/1000000)))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x (+.f64 #s(literal -175991/1000000 binary64) (*.f64 x #s(literal -759/25000 binary64)))))))
(* 9/625 (pow x 4))
(*.f64 #s(literal 9/625 binary64) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- 9/625 (* 759/25000 (/ 1 x))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 9/625 binary64) (/.f64 #s(literal -759/25000 binary64) x)))
(* (pow x 4) (+ 9/625 (* -1 (/ (+ 759/25000 (* 175991/1000000 (/ 1 x))) x))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 9/625 binary64) (/.f64 (+.f64 #s(literal -759/25000 binary64) (/.f64 #s(literal -175991/1000000 binary64) x)) x)))
(* (pow x 4) (- (+ 9/625 (* 253/1000 (/ 1 (pow x 3)))) (+ (/ 175991/1000000 (pow x 2)) (* 759/25000 (/ 1 x)))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 9/625 binary64) (/.f64 (+.f64 #s(literal -759/25000 binary64) (/.f64 (+.f64 (/.f64 #s(literal 253/1000 binary64) x) #s(literal -175991/1000000 binary64)) x)) x)))
(* 9/625 (pow x 4))
(*.f64 #s(literal 9/625 binary64) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- 9/625 (* 759/25000 (/ 1 x))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 9/625 binary64) (/.f64 #s(literal -759/25000 binary64) x)))
(* (pow x 4) (+ 9/625 (* -1 (/ (+ 759/25000 (* 175991/1000000 (/ 1 x))) x))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 9/625 binary64) (/.f64 (+.f64 #s(literal -759/25000 binary64) (/.f64 #s(literal -175991/1000000 binary64) x)) x)))
(* (pow x 4) (+ 9/625 (* -1 (/ (+ 759/25000 (* -1 (/ (- (* 253/1000 (/ 1 x)) 175991/1000000) x))) x))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 9/625 binary64) (/.f64 (+.f64 #s(literal -759/25000 binary64) (/.f64 (+.f64 (/.f64 #s(literal 253/1000 binary64) x) #s(literal -175991/1000000 binary64)) x)) x)))
(* 253/1000 x)
(*.f64 x #s(literal 253/1000 binary64))
(* x (+ 253/1000 (* 64009/1000000 x)))
(.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 64009/1000000 binary64))))
(* x (+ 253/1000 (* x (+ 64009/1000000 (* -759/25000 x)))))
(.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x (+.f64 #s(literal 64009/1000000 binary64) (*.f64 x #s(literal -759/25000 binary64))))))
(* x (+ 253/1000 (* x (+ 64009/1000000 (* -759/25000 x)))))
(.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x (+.f64 #s(literal 64009/1000000 binary64) (*.f64 x #s(literal -759/25000 binary64))))))
(* -759/25000 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal -759/25000 binary64)))
(* (pow x 3) (- (* 64009/1000000 (/ 1 x)) 759/25000))
(.f64 (.f64 x (*.f64 x x)) (+.f64 #s(literal -759/25000 binary64) (/.f64 #s(literal 64009/1000000 binary64) x)))
(* (pow x 3) (- (+ (/ 253/1000 (pow x 2)) (* 64009/1000000 (/ 1 x))) 759/25000))
(.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 (*.f64 x x) (+.f64 #s(literal -759/25000 binary64) (/.f64 #s(literal 64009/1000000 binary64) x)))))
(* (pow x 3) (- (+ (/ 253/1000 (pow x 2)) (* 64009/1000000 (/ 1 x))) 759/25000))
(.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 (*.f64 x x) (+.f64 #s(literal -759/25000 binary64) (/.f64 #s(literal 64009/1000000 binary64) x)))))
(* -759/25000 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal -759/25000 binary64)))
(* -1 (* (pow x 3) (- 759/25000 (* 64009/1000000 (/ 1 x)))))
(.f64 (.f64 x (*.f64 x x)) (+.f64 #s(literal -759/25000 binary64) (/.f64 #s(literal 64009/1000000 binary64) x)))
(* -1 (* (pow x 3) (+ 759/25000 (* -1 (/ (+ 64009/1000000 (* 253/1000 (/ 1 x))) x)))))
(.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 (*.f64 x x) (+.f64 #s(literal -759/25000 binary64) (/.f64 #s(literal 64009/1000000 binary64) x)))))
(* -1 (* (pow x 3) (+ 759/25000 (* -1 (/ (+ 64009/1000000 (* 253/1000 (/ 1 x))) x)))))
(.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 (*.f64 x x) (+.f64 #s(literal -759/25000 binary64) (/.f64 #s(literal 64009/1000000 binary64) x)))))
(* -253/1000 x)
(*.f64 x #s(literal -253/1000 binary64))
(* x (- (* 759/25000 (pow x 2)) 253/1000))
(.f64 x (+.f64 #s(literal -253/1000 binary64) (.f64 (*.f64 x x) #s(literal 759/25000 binary64))))
(* x (- (* 759/25000 (pow x 2)) 253/1000))
(.f64 x (+.f64 #s(literal -253/1000 binary64) (.f64 (*.f64 x x) #s(literal 759/25000 binary64))))
(* x (- (* 759/25000 (pow x 2)) 253/1000))
(.f64 x (+.f64 #s(literal -253/1000 binary64) (.f64 (*.f64 x x) #s(literal 759/25000 binary64))))
(* 759/25000 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 759/25000 binary64)))
(* (pow x 3) (- 759/25000 (* 253/1000 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal -253/1000 binary64) (.f64 (*.f64 x x) #s(literal 759/25000 binary64))))
(* (pow x 3) (- 759/25000 (* 253/1000 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal -253/1000 binary64) (.f64 (*.f64 x x) #s(literal 759/25000 binary64))))
(* (pow x 3) (- 759/25000 (* 253/1000 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal -253/1000 binary64) (.f64 (*.f64 x x) #s(literal 759/25000 binary64))))
(* 759/25000 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 759/25000 binary64)))
(* -1 (* (pow x 3) (- (* 253/1000 (/ 1 (pow x 2))) 759/25000)))
(.f64 x (+.f64 #s(literal -253/1000 binary64) (.f64 (*.f64 x x) #s(literal 759/25000 binary64))))
(* -1 (* (pow x 3) (- (* 253/1000 (/ 1 (pow x 2))) 759/25000)))
(.f64 x (+.f64 #s(literal -253/1000 binary64) (.f64 (*.f64 x x) #s(literal 759/25000 binary64))))
(* -1 (* (pow x 3) (- (* 253/1000 (/ 1 (pow x 2))) 759/25000)))
(.f64 x (+.f64 #s(literal -253/1000 binary64) (.f64 (*.f64 x x) #s(literal 759/25000 binary64))))
1
#s(literal 1 binary64)
(+ 1 (* -9/25 (pow x 2)))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -9/25 binary64))))
(+ 1 (* (pow x 2) (- (* -16194277/1000000000 x) 9/25)))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -9/25 binary64) (*.f64 x #s(literal -16194277/1000000000 binary64))))))
(+ 1 (* (pow x 2) (- (* x (- (* 27/625 x) 16194277/1000000000)) 9/25)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -9/25 binary64) (.f64 x (+.f64 #s(literal -16194277/1000000000 binary64) (.f64 x #s(literal 27/625 binary64)))))))
(* -27/15625 (pow x 6))
(*.f64 #s(literal -27/15625 binary64) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (* 27/625 (/ 1 (pow x 2))) 27/15625))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -27/15625 binary64) (/.f64 #s(literal 27/625 binary64) (.f64 x x))))
(* (pow x 6) (- (* 27/625 (/ 1 (pow x 2))) (+ 27/15625 (/ 16194277/1000000000 (pow x 3)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal -27/15625 binary64) (/.f64 #s(literal 27/625 binary64) (.f64 x x))) (/.f64 #s(literal -16194277/1000000000 binary64) (.f64 x (.f64 x x)))))
(* (pow x 6) (- (+ (* -1 (/ (+ 16194277/1000000000 (* 9/25 (/ 1 x))) (pow x 3))) (* 27/625 (/ 1 (pow x 2)))) 27/15625))
(.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (+.f64 #s(literal -27/15625 binary64) (/.f64 #s(literal 27/625 binary64) (.f64 x x))) (/.f64 (+.f64 #s(literal 16194277/1000000000 binary64) (/.f64 #s(literal 9/25 binary64) x)) (.f64 x (.f64 x x)))))
(* -27/15625 (pow x 6))
(*.f64 #s(literal -27/15625 binary64) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (* 27/625 (/ 1 (pow x 2))) 27/15625))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -27/15625 binary64) (/.f64 #s(literal 27/625 binary64) (.f64 x x))))
(* (pow x 6) (- (* 27/625 (/ 1 (pow x 2))) (+ 27/15625 (/ 16194277/1000000000 (pow x 3)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal -27/15625 binary64) (/.f64 #s(literal 27/625 binary64) (.f64 x x))) (/.f64 #s(literal -16194277/1000000000 binary64) (.f64 x (.f64 x x)))))
(* (pow x 6) (- (+ (* -1 (/ (+ 16194277/1000000000 (* 9/25 (/ 1 x))) (pow x 3))) (* 27/625 (/ 1 (pow x 2)))) 27/15625))
(.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (+.f64 #s(literal -27/15625 binary64) (/.f64 #s(literal 27/625 binary64) (.f64 x x))) (/.f64 (+.f64 #s(literal 16194277/1000000000 binary64) (/.f64 #s(literal 9/25 binary64) x)) (.f64 x (.f64 x x)))))

eval147.0ms (2.1%)

Compiler: Compiled 52476 to 2090 computations (96% saved)

prune141.0ms (2%)

Pruning

13 alts after pruning (5 fresh and 8 done)

	Pruned	Kept	Total
New	1024	5	1029
Fresh	0	0	0
Picked	3	2	5
Done	1	6	7
Total	1028	13	1041

Accuracy

100.0%

Counts

1041 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	45.9%	(/.f64 (/.f64 x #s(literal 25/3 binary64)) (/.f64 #s(literal -1 binary64) x))
	62.6%	(/.f64 (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -3/25 binary64))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -3/25 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -3/25 binary64))))) (.f64 #s(literal -16194277/1000000000 binary64) (.f64 x (.f64 x x)))) (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -3/25 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -3/25 binary64)))) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x (+.f64 #s(literal 64009/1000000 binary64) (*.f64 x #s(literal -759/25000 binary64))))))))
	45.9%	(/.f64 x (neg.f64 (/.f64 #s(literal 25/3 binary64) x)))
✓	99.9%	(-.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 3/25 binary64)))) (*.f64 x #s(literal 253/1000 binary64)))
	97.5%	(-.f64 #s(literal 1 binary64) (.f64 (.f64 (*.f64 x x) #s(literal -9/625 binary64)) #s(literal -25/3 binary64)))
✓	99.9%	(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))
✓	55.6%	(-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 253/1000 binary64)))
	45.9%	(*.f64 (/.f64 x #s(literal -25/3 binary64)) x)
✓	46.0%	(.f64 (.f64 x x) #s(literal -3/25 binary64))
✓	47.0%	(.f64 x (+.f64 #s(literal -253/1000 binary64) (.f64 x #s(literal -3/25 binary64))))
✓	46.0%	(.f64 x (.f64 x #s(literal -3/25 binary64)))
✓	3.9%	(*.f64 #s(literal -253/1000 binary64) x)
✓	53.5%	#s(literal 1 binary64)

Compiler

Compiled 535 to 199 computations (62.8% saved)

regimes27.0ms (0.4%)

Counts

26 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
(*.f64 #s(literal -253/1000 binary64) x)
(.f64 #s(literal -3/25 binary64) (.f64 x 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 (neg.f64 (/.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 x (/.f64 #s(literal 25/3 binary64) 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 (.f64 (*.f64 x x) #s(literal -9/625 binary64)) #s(literal -25/3 binary64)))
(-.f64 #s(literal 1 binary64) (/.f64 (/.f64 x #s(literal 25/3 binary64)) (/.f64 #s(literal 1 binary64) x)))
(-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 64009/1000000 binary64) (.f64 (*.f64 x x) #s(literal -9/625 binary64))) #s(literal -25/3 binary64)))
(-.f64 #s(literal 1 binary64) (/.f64 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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 3/25 binary64)) #s(literal 253/1000 binary64))) x)))
(/.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 (.f64 x x) #s(literal 9/625 binary64)) (+.f64 (.f64 x #s(literal 3/25 binary64)) #s(literal -253/1000 binary64)))))
(-.f64 #s(literal 1 binary64) (.f64 x (/.f64 (+.f64 (.f64 (.f64 x x) #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (+.f64 (.f64 x #s(literal 3/25 binary64)) #s(literal -253/1000 binary64)))))
(-.f64 #s(literal 1 binary64) (.f64 (+.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 (+.f64 #s(literal 64009/1000000 binary64) (.f64 (.f64 x x) #s(literal -9/625 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal -3/25 binary64)))) x)))
(/.f64 (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -3/25 binary64))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -3/25 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -3/25 binary64))))) (.f64 #s(literal -16194277/1000000000 binary64) (.f64 x (.f64 x x)))) (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -3/25 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -3/25 binary64)))) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x (+.f64 #s(literal 64009/1000000 binary64) (*.f64 x #s(literal -759/25000 binary64))))))))
(/.f64 (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -3/25 binary64))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -3/25 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -3/25 binary64))))) (.f64 #s(literal -16194277/1000000000 binary64) (.f64 x (.f64 x x)))) (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -3/25 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -3/25 binary64)))) (-.f64 (.f64 (.f64 x x) #s(literal 64009/1000000 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 (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -253/1000 binary64))) #s(literal 3 binary64)) (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 27/15625 binary64)) (.f64 x (.f64 x x)))) (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -253/1000 binary64))) (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -253/1000 binary64)))) (+.f64 (.f64 (.f64 (.f64 x x) #s(literal 9/625 binary64)) (.f64 x x)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -253/1000 binary64))) (.f64 x (.f64 x #s(literal 3/25 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	(.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))
7.0ms	x
6.0ms	(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))

Results

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

Compiler

Compiled 20 to 15 computations (25% saved)

regimes16.0ms (0.2%)

Counts

16 → 1

Calls

Call 1

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

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

Results

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

Compiler

Compiled 20 to 15 computations (25% saved)

regimes5.0ms (0.1%)

Counts

11 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
(*.f64 #s(literal -253/1000 binary64) x)
(.f64 #s(literal -3/25 binary64) (.f64 x 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 (neg.f64 (/.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 x (/.f64 #s(literal 25/3 binary64) 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
97.5%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0.1%)

Counts

9 → 3

Calls

Call 1

Inputs
#s(literal 1 binary64)
(*.f64 #s(literal -253/1000 binary64) x)
(.f64 #s(literal -3/25 binary64) (.f64 x 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 (neg.f64 (/.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
98.7%	3	`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 #s(literal -3/25 binary64) (.f64 x 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 (neg.f64 (/.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 #s(literal -3/25 binary64) (.f64 x x))

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
98.3%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Counts

6 → 3

Calls

Call 1

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
97.6%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Counts

3 → 3

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
97.6%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Accuracy

Total -32.7b remaining (-109.9%)

Threshold costs -32.7b (-109.9%)

Counts

2 → 1

Calls

Call 1

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

Outputs
#s(literal 1 binary64)

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
53.5%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

bsearch35.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	0.00013975277456022188	2.3363961498030656
16.0ms	-734250.6677821883	-0.00022089140164111118

Results

21.0ms

272×

valid

Compiler

Compiled 286 to 232 computations (18.9% saved)

Precisions

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

...c/correct-round.rkt:119:19: 7.0ms (47.9% of total)

ival-mult: 4.0ms (27.4% of total)

ival-sub: 2.0ms (13.7% of total)

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

const: 0.0ms (0% of total)

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

bsearch46.0ms (0.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
23.0ms	0.00013975277456022188	2.3363961498030656
19.0ms	-734250.6677821883	-0.00022089140164111118

Results

34.0ms

272×

valid

Compiler

Compiled 252 to 198 computations (21.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-mult: 8.0ms (44.6% of total)

...c/correct-round.rkt:119:19: 7.0ms (39% of total)

ival-add: 2.0ms (11.2% of total)

ival-sub: 1.0ms (5.6% of total)

const: 0.0ms (0% of total)

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

bsearch56.0ms (0.8%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	0.00013975277456022188	2.3363961498030656
39.0ms	-734250.6677821883	-0.00022089140164111118

Results

44.0ms

272×

valid

Compiler

Compiled 184 to 147 computations (20.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

...c/correct-round.rkt:119:19: 7.0ms (48.4% of total)

ival-mult: 4.0ms (27.6% of total)

ival-sub: 1.0ms (6.9% of total)

ival-add: 1.0ms (6.9% of total)

const: 0.0ms (0% of total)

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

bsearch73.0ms (1%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
50.0ms	0.00013975277456022188	2.3363961498030656
20.0ms	-734250.6677821883	-0.00022089140164111118

Results

61.0ms

272×

valid

Compiler

Compiled 184 to 147 computations (20.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 54.0ms

ival-sub: 37.0ms (68% of total)

...c/correct-round.rkt:119:19: 11.0ms (20.2% of total)

ival-mult: 4.0ms (7.4% of total)

ival-add: 1.0ms (1.8% of total)

const: 0.0ms (0% of total)

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

simplify17.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

38×	`*-commutative_binary64`
36×	`+-commutative_binary64`
32×	`sub-neg_binary64`
22×	`neg-sub0_binary64`
22×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	106
1	70	106
2	105	106
3	133	106
4	152	106
5	160	106
6	162	106

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)))
(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 4728779608739021/2251799813685248 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 4728779608739021/2251799813685248 binary64)) (-.f64 #s(literal 1 binary64) (.f64 x #s(literal 253/1000 binary64))) (.f64 #s(literal -3/25 binary64) (*.f64 x x))))
(if (<=.f64 x #s(literal -4728779608739021/1125899906842624 binary64)) (.f64 x (.f64 x #s(literal -3/25 binary64))) (if (<=.f64 x #s(literal 4728779608739021/2251799813685248 binary64)) #s(literal 1 binary64) (.f64 #s(literal -3/25 binary64) (.f64 x x))))
(if (<=.f64 x #s(literal -4728779608739021/1125899906842624 binary64)) (.f64 #s(literal -3/25 binary64) (.f64 x x)) (if (<=.f64 x #s(literal 4728779608739021/2251799813685248 binary64)) #s(literal 1 binary64) (.f64 #s(literal -3/25 binary64) (.f64 x 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)))
(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 4728779608739021/2251799813685248 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 4728779608739021/2251799813685248 binary64)) (-.f64 #s(literal 1 binary64) (.f64 x #s(literal 253/1000 binary64))) (.f64 #s(literal -3/25 binary64) (*.f64 x x))))
(if (<=.f64 x #s(literal -4728779608739021/1125899906842624 binary64)) (.f64 x (.f64 x #s(literal -3/25 binary64))) (if (<=.f64 x #s(literal 4728779608739021/2251799813685248 binary64)) #s(literal 1 binary64) (.f64 #s(literal -3/25 binary64) (.f64 x x))))
(if (<=.f64 x #s(literal -4728779608739021/1125899906842624 binary64)) (.f64 #s(literal -3/25 binary64) (.f64 x x)) (if (<=.f64 x #s(literal 4728779608739021/2251799813685248 binary64)) #s(literal 1 binary64) (.f64 #s(literal -3/25 binary64) (.f64 x x))))
#s(literal 1 binary64)

soundness1.2s (16.1%)

Rules

2808×	`-lowering-.f32`
2808×	`-lowering-.f64`
2282×	`-lowering-.f32`
2282×	`-lowering-.f64`
1910×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	8	24
1	51	21
2	440	20
3	4910	20
0	8444	20
0	35	248
1	99	223
2	255	215
3	605	215
4	1440	215
5	4239	215
0	8140	215
0	106	1001
1	312	914
2	754	888
3	1819	886
4	4786	886
0	8432	886

Stop Event

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

Compiler

Compiled 241 to 129 computations (46.5% saved)

preprocess44.0ms (0.6%)

Compiler: Compiled 254 to 88 computations (65.4% saved)

analyze0.0ms (0%)

sample1.2s (17%)

preprocess137.0ms (1.9%)

explain98.0ms (1.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify58.0ms (0.8%)

localize42.0ms (0.6%)

series3.0ms (0%)

rewrite272.0ms (3.8%)

simplify140.0ms (2%)

eval27.0ms (0.4%)

prune34.0ms (0.5%)

simplify220.0ms (3.1%)

localize146.0ms (2%)

series11.0ms (0.2%)

rewrite334.0ms (4.7%)

simplify196.0ms (2.7%)

eval88.0ms (1.2%)

prune56.0ms (0.8%)

simplify121.0ms (1.7%)

localize173.0ms (2.4%)

series8.0ms (0.1%)

rewrite357.0ms (5%)

simplify468.0ms (6.5%)

eval81.0ms (1.1%)

prune66.0ms (0.9%)

simplify187.0ms (2.6%)

localize168.0ms (2.4%)

series10.0ms (0.1%)

rewrite402.0ms (5.6%)

simplify250.0ms (3.5%)

eval147.0ms (2.1%)

prune141.0ms (2%)

regimes27.0ms (0.4%)

regimes16.0ms (0.2%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

regimes4.0ms (0%)

regimes3.0ms (0%)

regimes3.0ms (0%)

regimes2.0ms (0%)

bsearch35.0ms (0.5%)

bsearch46.0ms (0.6%)

bsearch56.0ms (0.8%)

bsearch73.0ms (1%)

simplify17.0ms (0.2%)

soundness1.2s (16.1%)

preprocess44.0ms (0.6%)

end0.0ms (0%)

Profiling