Metrics for Data.Colour.CIE:cieLABView from colour-2.3.3, 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 10 computations (9.1% saved)

Precisions

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

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

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

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

const: 0.0ms (0% of total)

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

sample707.0ms (10.1%)

Results

508.0ms	8250×	0	valid
1.0ms	5×	1	valid
0.0ms	1×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 289.0ms

ival-div: 158.0ms (54.6% of total)

ival-mult: 67.0ms (23.2% of total)

ival-add: 42.0ms (14.5% of total)

const: 20.0ms (6.9% of total)

backward-pass: 3.0ms (1% of total)

Bogosity

preprocess25.0ms (0.4%)

Algorithm

2×	egg-herbie

Rules

148×	`fmsub-define`
148×	`fnmadd-define`
144×	`fnmsub-define`
94×	`fmm-def`
64×	`sum3-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	15
1	32	13
2	67	12
3	153	12
4	262	12
5	385	12
6	477	12
7	501	12
8	515	12
9	519	12
0	11	4
1	14	4
2	15	4
0	15	4

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(+ (* (/ 841 108) x) (/ 4 29))

Outputs
(+ (* (/ 841 108) x) (/ 4 29))
(+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))

Call 2

Inputs
(+ (* (/ 841 108) x) (/ 4 29))
(+ (* (/ 841 108) (neg x)) (/ 4 29))
(neg (+ (* (/ 841 108) (neg x)) (/ 4 29)))

Outputs
(+ (* (/ 841 108) x) (/ 4 29))
(fnmsub x -841/108 -4/29)
(+ (* (/ 841 108) (neg x)) (/ 4 29))
(fnmsub 841/108 x -4/29)
(neg (+ (* (/ 841 108) (neg x)) (/ 4 29)))
(fnmsub x -841/108 4/29)

explain75.0ms (1.1%)

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`x`
-	-	`#s(literal 29 binary64)`
-	-	`(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))`
-	-	`#s(literal 4 binary64)`
-	-	`(/.f64 #s(literal 841 binary64) #s(literal 108 binary64))`
-	-	`(/.f64 #s(literal 4 binary64) #s(literal 29 binary64))`
-	-	`#s(literal 841 binary64)`
-	-	`(*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x)`
-	-	`#s(literal 108 binary64)`

Results

44.0ms	510×	0	valid
1.0ms	2×	5	exit

Compiler

Compiled 64 to 29 computations (54.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-div: 8.0ms (48% of total)

ival-mult: 4.0ms (24% of total)

ival-add: 3.0ms (18% of total)

const: 1.0ms (6% of total)

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

eval0.0ms (0%)

Compiler: Compiled 6 to 5 computations (16.7% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))

Compiler

Compiled 6 to 5 computations (16.7% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 #s(literal 841/108 binary64) x)
✓	cost-diff	0	(+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))

Rules

4×	`fma-lowering-fma.f32`
4×	`fma-define`
4×	`+-lowering-+.f64`
4×	`-lowering-.f32`
4×	`-lowering-.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	10
1	8	10
2	9	10
0	9	10

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(+ (* 841/108 x) 4/29)
(* 841/108 x)
841/108
x
4/29

Outputs
(+ (* 841/108 x) 4/29)
(+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
841/108
#s(literal 841/108 binary64)
x
4/29
#s(literal 4/29 binary64)

localize47.0ms (0.7%)

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))
✓	accuracy	99.8%	(*.f64 #s(literal 841/108 binary64) x)

Results

39.0ms	255×	0	valid
1.0ms	1×	5	exit

Compiler

Compiled 13 to 6 computations (53.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

...c/correct-round.rkt:119:19: 28.0ms (88% of total)

ival-mult: 2.0ms (6.3% of total)

ival-add: 1.0ms (3.1% of total)

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

const: 0.0ms (0% of total)

series2.0ms (0%)

Counts

2 → 24

Calls

Call 1

Inputs
#<alt (+ (* 841/108 x) 4/29)>
#<alt (* 841/108 x)>

Outputs
#<alt 4/29>
#<alt (+ 4/29 (* 841/108 x))>
#<alt (+ 4/29 (* 841/108 x))>
#<alt (+ 4/29 (* 841/108 x))>
#<alt (* 841/108 x)>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* 841/108 x)>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(+ (* 841/108 x) 4/29)
0.0ms	x	@	inf	(* 841/108 x)
0.0ms	x	@	-inf	(* 841/108 x)
0.0ms	x	@	0	(* 841/108 x)
0.0ms	x	@	0	(+ (* 841/108 x) 4/29)

rewrite327.0ms (4.7%)

Algorithm

1×	batch-egg-rewrite

Rules

4122×	`/-lowering-/.f32`
4122×	`/-lowering-/.f64`
3520×	`-lowering-.f32`
3520×	`-lowering-.f64`
1716×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	23	7
2	156	7
3	1396	7
0	8162	7

Stop Event

1×	iter limit
1×	node limit

Counts

2 → 193

Calls

Call 1

Inputs
(+ (* 841/108 x) 4/29)
(* 841/108 x)

Outputs
(+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 841/108 binary64) x))
(+.f64 (/.f64 (.f64 #s(literal 707281/11664 binary64) (.f64 x x)) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 16/841 binary64) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)))))
(+.f64 (/.f64 #s(literal 16/841 binary64) (-.f64 #s(literal 4/29 binary64) (.f64 #s(literal 841/108 binary64) x))) (neg.f64 (/.f64 (.f64 #s(literal 707281/11664 binary64) (.f64 x x)) (-.f64 #s(literal 4/29 binary64) (.f64 #s(literal 841/108 binary64) x)))))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64)))) #s(literal -1 binary64)))
(-.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))
(-.f64 (/.f64 (.f64 #s(literal 707281/11664 binary64) (.f64 x x)) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (.f64 #s(literal 594823321/1259712 binary64) (.f64 x (.f64 x x))) #s(literal 64/24389 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 16/841 binary64) (.f64 x (+.f64 (*.f64 x #s(literal 707281/11664 binary64)) #s(literal -29/27 binary64)))))))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (.f64 #s(literal 707281/11664 binary64) (.f64 x x)) #s(literal -16/841 binary64)) (+.f64 (*.f64 x #s(literal -841/108 binary64)) #s(literal 4/29 binary64))))
(-.f64 #s(literal 0 binary64) (-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 16/841 binary64) (.f64 x (+.f64 (.f64 x #s(literal 707281/11664 binary64)) #s(literal -29/27 binary64))))) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))))
(-.f64 #s(literal 0 binary64) (-.f64 (/.f64 #s(literal 0 binary64) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))))
(-.f64 (/.f64 #s(literal 16/841 binary64) (-.f64 #s(literal 4/29 binary64) (.f64 #s(literal 841/108 binary64) x))) (/.f64 (.f64 #s(literal 707281/11664 binary64) (.f64 x x)) (-.f64 #s(literal 4/29 binary64) (.f64 #s(literal 841/108 binary64) x))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 353814783205469041/1586874322944 binary64))) (+.f64 (.f64 #s(literal 594823321/1259712 binary64) (.f64 x (.f64 x x))) #s(literal -64/24389 binary64))) (+.f64 #s(literal 16/841 binary64) (.f64 x (+.f64 (.f64 x #s(literal 707281/11664 binary64)) #s(literal -29/27 binary64))))) (/.f64 (/.f64 #s(literal 4096/594823321 binary64) (+.f64 (.f64 #s(literal 594823321/1259712 binary64) (.f64 x (.f64 x x))) #s(literal -64/24389 binary64))) (+.f64 #s(literal 16/841 binary64) (.f64 x (+.f64 (.f64 x #s(literal 707281/11664 binary64)) #s(literal -29/27 binary64))))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 353814783205469041/1586874322944 binary64))) (+.f64 (.f64 #s(literal 500246412961/136048896 binary64) (.f64 (.f64 x x) (.f64 x x))) (+.f64 #s(literal 256/707281 binary64) (.f64 (.f64 x x) #s(literal 841/729 binary64))))) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))) (/.f64 (/.f64 #s(literal 4096/594823321 binary64) (+.f64 (.f64 #s(literal 500246412961/136048896 binary64) (.f64 (.f64 x x) (.f64 x x))) (+.f64 #s(literal 256/707281 binary64) (.f64 (.f64 x x) #s(literal 841/729 binary64))))) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))))
(-.f64 (/.f64 (/.f64 (.f64 #s(literal 500246412961/136048896 binary64) (.f64 (.f64 x x) (.f64 x x))) (+.f64 (.f64 #s(literal 707281/11664 binary64) (.f64 x x)) #s(literal 16/841 binary64))) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))) (/.f64 (/.f64 #s(literal 256/707281 binary64) (+.f64 (.f64 #s(literal 707281/11664 binary64) (.f64 x x)) #s(literal 16/841 binary64))) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 16/841 binary64) (.f64 x (+.f64 (.f64 x #s(literal 707281/11664 binary64)) #s(literal -29/27 binary64)))))) (/.f64 (+.f64 (.f64 #s(literal 594823321/1259712 binary64) (.f64 x (.f64 x x))) #s(literal 64/24389 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 16/841 binary64) (.f64 x (+.f64 (*.f64 x #s(literal 707281/11664 binary64)) #s(literal -29/27 binary64)))))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 (.f64 x #s(literal -841/108 binary64)) #s(literal 4/29 binary64))) (/.f64 (+.f64 (.f64 #s(literal 707281/11664 binary64) (.f64 x x)) #s(literal -16/841 binary64)) (+.f64 (.f64 x #s(literal -841/108 binary64)) #s(literal 4/29 binary64))))
(-.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 353814783205469041/1586874322944 binary64))) (.f64 (+.f64 #s(literal 16/841 binary64) (.f64 x (+.f64 (.f64 x #s(literal 707281/11664 binary64)) #s(literal -29/27 binary64)))) (+.f64 (.f64 #s(literal 594823321/1259712 binary64) (.f64 x (.f64 x x))) #s(literal -64/24389 binary64)))) (/.f64 #s(literal 4096/594823321 binary64) (.f64 (+.f64 #s(literal 16/841 binary64) (.f64 x (+.f64 (.f64 x #s(literal 707281/11664 binary64)) #s(literal -29/27 binary64)))) (+.f64 (.f64 #s(literal 594823321/1259712 binary64) (.f64 x (.f64 x x))) #s(literal -64/24389 binary64)))))
(-.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 353814783205469041/1586874322944 binary64))) (.f64 (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)) (+.f64 (.f64 #s(literal 500246412961/136048896 binary64) (.f64 (.f64 x x) (.f64 x x))) (+.f64 #s(literal 256/707281 binary64) (.f64 (.f64 x x) #s(literal 841/729 binary64)))))) (/.f64 #s(literal 4096/594823321 binary64) (.f64 (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)) (+.f64 (.f64 #s(literal 500246412961/136048896 binary64) (.f64 (.f64 x x) (.f64 x x))) (+.f64 #s(literal 256/707281 binary64) (.f64 (.f64 x x) #s(literal 841/729 binary64)))))))
(-.f64 (/.f64 (.f64 #s(literal 500246412961/136048896 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)) (+.f64 (.f64 #s(literal 707281/11664 binary64) (.f64 x x)) #s(literal 16/841 binary64)))) (/.f64 #s(literal 256/707281 binary64) (.f64 (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)) (+.f64 (.f64 #s(literal 707281/11664 binary64) (.f64 x x)) #s(literal 16/841 binary64)))))
(-.f64 (/.f64 (.f64 (.f64 #s(literal 707281/11664 binary64) (.f64 x x)) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))) (.f64 (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)))) (/.f64 (.f64 (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)) #s(literal 16/841 binary64)) (.f64 (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)))))
(-.f64 (/.f64 (.f64 (/.f64 (.f64 #s(literal 707281/11664 binary64) (.f64 x x)) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))) (/.f64 (/.f64 (.f64 #s(literal 707281/11664 binary64) (.f64 x x)) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))) (/.f64 (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)) (.f64 #s(literal 707281/11664 binary64) (.f64 x x))))) (+.f64 (/.f64 (/.f64 (.f64 #s(literal 707281/11664 binary64) (.f64 x x)) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))) (/.f64 (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)) (.f64 #s(literal 707281/11664 binary64) (.f64 x x)))) (+.f64 (/.f64 (/.f64 #s(literal 16/841 binary64) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))) (/.f64 (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)) #s(literal 16/841 binary64))) (/.f64 (/.f64 (.f64 #s(literal 707281/11664 binary64) (.f64 x x)) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))) (/.f64 (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)) #s(literal 16/841 binary64)))))) (/.f64 (.f64 (/.f64 #s(literal 16/841 binary64) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))) (/.f64 (/.f64 #s(literal 16/841 binary64) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))) (/.f64 (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)) #s(literal 16/841 binary64)))) (+.f64 (/.f64 (/.f64 (.f64 #s(literal 707281/11664 binary64) (.f64 x x)) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))) (/.f64 (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)) (.f64 #s(literal 707281/11664 binary64) (.f64 x x)))) (+.f64 (/.f64 (/.f64 #s(literal 16/841 binary64) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))) (/.f64 (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)) #s(literal 16/841 binary64))) (/.f64 (/.f64 (.f64 #s(literal 707281/11664 binary64) (.f64 x x)) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))) (/.f64 (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)) #s(literal 16/841 binary64)))))))
(-.f64 (/.f64 (/.f64 (/.f64 (.f64 #s(literal 707281/11664 binary64) (.f64 x x)) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))) (/.f64 (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)) (.f64 #s(literal 707281/11664 binary64) (.f64 x x)))) (+.f64 (/.f64 (.f64 #s(literal 707281/11664 binary64) (.f64 x x)) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))))) (/.f64 (/.f64 (/.f64 #s(literal 16/841 binary64) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))) (/.f64 (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)) #s(literal 16/841 binary64))) (+.f64 (/.f64 (.f64 #s(literal 707281/11664 binary64) (.f64 x x)) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(fma.f64 #s(literal 841/108 binary64) (/.f64 (.f64 #s(literal 841/108 binary64) (.f64 x x)) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 16/841 binary64) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)))))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(fma.f64 x (/.f64 (.f64 x #s(literal 707281/11664 binary64)) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 16/841 binary64) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)))))
(fma.f64 (.f64 #s(literal 841/108 binary64) x) (/.f64 (.f64 #s(literal 841/108 binary64) x) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 16/841 binary64) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)))))
(fma.f64 (.f64 #s(literal 707281/11664 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 16/841 binary64) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)))))
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(.f64 (/.f64 (+.f64 (.f64 #s(literal 707281/11664 binary64) (.f64 x x)) #s(literal -16/841 binary64)) (/.f64 (+.f64 (.f64 #s(literal 707281/11664 binary64) (.f64 x x)) #s(literal -16/841 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 #s(literal 707281/11664 binary64) (.f64 x x)) #s(literal -16/841 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x #s(literal -841/108 binary64)) #s(literal 4/29 binary64))))
(.f64 (/.f64 (+.f64 (.f64 #s(literal 707281/11664 binary64) (.f64 x x)) #s(literal -16/841 binary64)) (/.f64 (+.f64 (.f64 #s(literal 707281/11664 binary64) (.f64 x x)) #s(literal -16/841 binary64)) (+.f64 #s(literal 16/841 binary64) (.f64 #s(literal -707281/11664 binary64) (.f64 x x))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 4/29 binary64) (.f64 #s(literal 841/108 binary64) x))))
(exp.f64 (log.f64 (*.f64 #s(literal 841/108 binary64) x)))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 841/108 binary64) x)) #s(literal 1 binary64)))
(pow.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 841/108 binary64) x)
(*.f64 #s(literal 841/108 binary64) (pow.f64 x #s(literal 1 binary64)))
(*.f64 x #s(literal 841/108 binary64))
(*.f64 (pow.f64 x #s(literal 1 binary64)) #s(literal 841/108 binary64))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 #s(literal 841/108 binary64))))
(*.f64 (exp.f64 (log.f64 #s(literal 841/108 binary64))) (exp.f64 (log.f64 x)))

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

44×	`-lowering-.f32`
44×	`-lowering-.f64`
40×	`fma-define`
28×	`fma-lowering-fma.f32`
28×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	88
1	25	79
2	46	79
3	68	79
4	68	79
5	83	79
6	91	79
7	97	79
8	99	79
0	99	79

Stop Event

1×	iter limit
1×	saturated

Counts

24 → 24

Calls

Call 1

Inputs
4/29
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 841/108 x))
(* 841/108 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* 841/108 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)

Outputs
4/29
#s(literal 4/29 binary64)
(+ 4/29 (* 841/108 x))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 841/108 binary64) x))
(+ 4/29 (* 841/108 x))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 841/108 binary64) x))
(+ 4/29 (* 841/108 x))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 841/108 binary64) x))
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 841/108 binary64) x))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 841/108 binary64) x))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 841/108 binary64) x))
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 841/108 binary64) x))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 841/108 binary64) x))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 841/108 binary64) x))
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)

eval27.0ms (0.4%)

Compiler: Compiled 7075 to 563 computations (92% saved)

prune32.0ms (0.5%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	208	9	217
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	208	10	218

Accuracy

100.0%

Counts

218 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.1%	(fma.f64 (.f64 x #s(literal 707281/11664 binary64)) (/.f64 x (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 16/841 binary64) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)))))
▶	99.2%	(fma.f64 x (/.f64 (.f64 x #s(literal 707281/11664 binary64)) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 16/841 binary64) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)))))
▶	59.0%	(/.f64 (/.f64 (+.f64 (.f64 #s(literal 500246412961/136048896 binary64) (.f64 (.f64 x x) (.f64 x x))) #s(literal -256/707281 binary64)) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))) (+.f64 (.f64 #s(literal 707281/11664 binary64) (*.f64 x x)) #s(literal 16/841 binary64)))
	65.4%	(/.f64 (-.f64 (.f64 #s(literal 594823321/1259712 binary64) (.f64 x (.f64 x x))) #s(literal -64/24389 binary64)) (+.f64 #s(literal 16/841 binary64) (.f64 x (+.f64 (*.f64 x #s(literal 707281/11664 binary64)) #s(literal -29/27 binary64)))))
▶	74.2%	(/.f64 (+.f64 (.f64 #s(literal 707281/11664 binary64) (.f64 x x)) #s(literal -16/841 binary64)) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)))
▶	99.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))))
✓	99.9%	(+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))
	59.0%	(.f64 (/.f64 (+.f64 (.f64 #s(literal 500246412961/136048896 binary64) (.f64 (.f64 x x) (.f64 x x))) #s(literal -256/707281 binary64)) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 707281/11664 binary64) (.f64 x x)) #s(literal 16/841 binary64))))
	54.8%	(*.f64 #s(literal 841/108 binary64) x)
▶	45.9%	#s(literal 4/29 binary64)

Compiler

Compiled 298 to 207 computations (30.5% saved)

simplify149.0ms (2.1%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x #s(literal 707281/11664 binary64))
✓	cost-diff	0	(/.f64 (.f64 x #s(literal 707281/11664 binary64)) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)))
✓	cost-diff	128	(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 16/841 binary64) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))))
✓	cost-diff	6784	(fma.f64 x (/.f64 (.f64 x #s(literal 707281/11664 binary64)) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 16/841 binary64) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)))))
✓	cost-diff	0	(.f64 #s(literal 500246412961/136048896 binary64) (.f64 (.f64 x x) (.f64 x x)))
✓	cost-diff	0	(+.f64 (.f64 #s(literal 500246412961/136048896 binary64) (.f64 (.f64 x x) (.f64 x x))) #s(literal -256/707281 binary64))
✓	cost-diff	0	(/.f64 (+.f64 (.f64 #s(literal 500246412961/136048896 binary64) (.f64 (.f64 x x) (.f64 x x))) #s(literal -256/707281 binary64)) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)))
✓	cost-diff	0	(/.f64 (/.f64 (+.f64 (.f64 #s(literal 500246412961/136048896 binary64) (.f64 (.f64 x x) (.f64 x x))) #s(literal -256/707281 binary64)) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))) (+.f64 (.f64 #s(literal 707281/11664 binary64) (*.f64 x x)) #s(literal 16/841 binary64)))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 #s(literal 707281/11664 binary64) (.f64 x x))
✓	cost-diff	0	(+.f64 (.f64 #s(literal 707281/11664 binary64) (.f64 x x)) #s(literal -16/841 binary64))
✓	cost-diff	0	(/.f64 (+.f64 (.f64 #s(literal 707281/11664 binary64) (.f64 x x)) #s(literal -16/841 binary64)) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)))
✓	cost-diff	0	(*.f64 #s(literal 841/108 binary64) x)
✓	cost-diff	0	(+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64)))
✓	cost-diff	256	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))))

Rules

1832×	`sum5-define`
1806×	`fnmadd-define`
1720×	`-lowering-.f32`
1720×	`-lowering-.f64`
1420×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	32	197
1	73	186
2	145	176
3	272	176
4	615	176
5	1421	176
6	2386	175
7	3766	175
0	8391	175

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ 1 (/ 1 (+ (* 841/108 x) 4/29)))
1
(/ 1 (+ (* 841/108 x) 4/29))
(+ (* 841/108 x) 4/29)
(* 841/108 x)
841/108
x
4/29
4/29
(/ (+ (* 707281/11664 (* x x)) -16/841) (+ (* 841/108 x) -4/29))
(+ (* 707281/11664 (* x x)) -16/841)
(* 707281/11664 (* x x))
707281/11664
(* x x)
x
-16/841
(+ (* 841/108 x) -4/29)
(* 841/108 x)
841/108
-4/29
(/ (/ (+ (* 500246412961/136048896 (* (* x x) (* x x))) -256/707281) (+ (* 841/108 x) -4/29)) (+ (* 707281/11664 (* x x)) 16/841))
(/ (+ (* 500246412961/136048896 (* (* x x) (* x x))) -256/707281) (+ (* 841/108 x) -4/29))
(+ (* 500246412961/136048896 (* (* x x) (* x x))) -256/707281)
(* 500246412961/136048896 (* (* x x) (* x x)))
500246412961/136048896
(* (* x x) (* x x))
(* x x)
x
-256/707281
(+ (* 841/108 x) -4/29)
(* 841/108 x)
841/108
-4/29
(+ (* 707281/11664 (* x x)) 16/841)
(* 707281/11664 (* x x))
707281/11664
16/841
(+ (* x (/ (* x 707281/11664) (+ (* 841/108 x) -4/29))) (- 0 (/ 16/841 (+ (* 841/108 x) -4/29))))
x
(/ (* x 707281/11664) (+ (* 841/108 x) -4/29))
(* x 707281/11664)
707281/11664
(+ (* 841/108 x) -4/29)
(* 841/108 x)
841/108
-4/29
(- 0 (/ 16/841 (+ (* 841/108 x) -4/29)))
0
(/ 16/841 (+ (* 841/108 x) -4/29))
16/841

Outputs
(/ 1 (/ 1 (+ (* 841/108 x) 4/29)))
(+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))
1
#s(literal 1 binary64)
(/ 1 (+ (* 841/108 x) 4/29))
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64)))
(+ (* 841/108 x) 4/29)
(+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
841/108
#s(literal 841/108 binary64)
x
4/29
#s(literal 4/29 binary64)
4/29
#s(literal 4/29 binary64)
(/ (+ (* 707281/11664 (* x x)) -16/841) (+ (* 841/108 x) -4/29))
(/.f64 (+.f64 (.f64 #s(literal 707281/11664 binary64) (.f64 x x)) #s(literal -16/841 binary64)) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)))
(+ (* 707281/11664 (* x x)) -16/841)
(+.f64 (.f64 #s(literal 707281/11664 binary64) (.f64 x x)) #s(literal -16/841 binary64))
(* 707281/11664 (* x x))
(.f64 #s(literal 707281/11664 binary64) (.f64 x x))
707281/11664
#s(literal 707281/11664 binary64)
(* x x)
(*.f64 x x)
x
-16/841
#s(literal -16/841 binary64)
(+ (* 841/108 x) -4/29)
(+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
841/108
#s(literal 841/108 binary64)
-4/29
#s(literal -4/29 binary64)
(/ (/ (+ (* 500246412961/136048896 (* (* x x) (* x x))) -256/707281) (+ (* 841/108 x) -4/29)) (+ (* 707281/11664 (* x x)) 16/841))
(/.f64 (+.f64 (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 500246412961/136048896 binary64))))) #s(literal -256/707281 binary64)) (+.f64 #s(literal -64/24389 binary64) (.f64 x (+.f64 #s(literal 4/27 binary64) (.f64 x (+.f64 (*.f64 x #s(literal 594823321/1259712 binary64)) #s(literal -24389/2916 binary64)))))))
(/ (+ (* 500246412961/136048896 (* (* x x) (* x x))) -256/707281) (+ (* 841/108 x) -4/29))
(/.f64 (+.f64 (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 500246412961/136048896 binary64))))) #s(literal -256/707281 binary64)) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)))
(+ (* 500246412961/136048896 (* (* x x) (* x x))) -256/707281)
(+.f64 (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 500246412961/136048896 binary64))))) #s(literal -256/707281 binary64))
(* 500246412961/136048896 (* (* x x) (* x x)))
(.f64 x (.f64 x (.f64 x (.f64 x #s(literal 500246412961/136048896 binary64)))))
500246412961/136048896
#s(literal 500246412961/136048896 binary64)
(* (* x x) (* x x))
(.f64 x (.f64 x (*.f64 x x)))
(* x x)
(*.f64 x x)
x
-256/707281
#s(literal -256/707281 binary64)
(+ (* 841/108 x) -4/29)
(+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
841/108
#s(literal 841/108 binary64)
-4/29
#s(literal -4/29 binary64)
(+ (* 707281/11664 (* x x)) 16/841)
(+.f64 (.f64 #s(literal 707281/11664 binary64) (.f64 x x)) #s(literal 16/841 binary64))
(* 707281/11664 (* x x))
(.f64 #s(literal 707281/11664 binary64) (.f64 x x))
707281/11664
#s(literal 707281/11664 binary64)
16/841
#s(literal 16/841 binary64)
(+ (* x (/ (* x 707281/11664) (+ (* 841/108 x) -4/29))) (- 0 (/ 16/841 (+ (* 841/108 x) -4/29))))
(/.f64 (+.f64 (.f64 #s(literal 707281/11664 binary64) (.f64 x x)) #s(literal -16/841 binary64)) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)))
x
(/ (* x 707281/11664) (+ (* 841/108 x) -4/29))
(.f64 #s(literal -707281/11664 binary64) (/.f64 x (-.f64 #s(literal 4/29 binary64) (.f64 #s(literal 841/108 binary64) x))))
(* x 707281/11664)
(*.f64 x #s(literal 707281/11664 binary64))
707281/11664
#s(literal 707281/11664 binary64)
(+ (* 841/108 x) -4/29)
(+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
841/108
#s(literal 841/108 binary64)
-4/29
#s(literal -4/29 binary64)
(- 0 (/ 16/841 (+ (* 841/108 x) -4/29)))
(/.f64 #s(literal -16/841 binary64) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)))
0
#s(literal 0 binary64)
(/ 16/841 (+ (* 841/108 x) -4/29))
(/.f64 #s(literal -16/841 binary64) (-.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 841/108 binary64) x)))
16/841
#s(literal 16/841 binary64)

localize436.0ms (6.2%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(*.f64 x #s(literal 707281/11664 binary64))
✓	accuracy	99.8%	(*.f64 #s(literal 841/108 binary64) x)
✓	accuracy	99.2%	(/.f64 #s(literal 16/841 binary64) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)))
✓	accuracy	99.0%	(/.f64 (.f64 x #s(literal 707281/11664 binary64)) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)))
✓	accuracy	99.8%	(*.f64 #s(literal 841/108 binary64) x)
✓	accuracy	99.6%	(.f64 #s(literal 707281/11664 binary64) (.f64 x x))
✓	accuracy	93.5%	(/.f64 (+.f64 (.f64 #s(literal 500246412961/136048896 binary64) (.f64 (.f64 x x) (.f64 x x))) #s(literal -256/707281 binary64)) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)))
✓	accuracy	66.5%	(/.f64 (/.f64 (+.f64 (.f64 #s(literal 500246412961/136048896 binary64) (.f64 (.f64 x x) (.f64 x x))) #s(literal -256/707281 binary64)) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))) (+.f64 (.f64 #s(literal 707281/11664 binary64) (*.f64 x x)) #s(literal 16/841 binary64)))
✓	accuracy	100.0%	(+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))
✓	accuracy	99.8%	(*.f64 #s(literal 841/108 binary64) x)
✓	accuracy	99.6%	(.f64 #s(literal 707281/11664 binary64) (.f64 x x))
✓	accuracy	74.3%	(/.f64 (+.f64 (.f64 #s(literal 707281/11664 binary64) (.f64 x x)) #s(literal -16/841 binary64)) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)))
✓	accuracy	100.0%	(+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))
✓	accuracy	99.8%	(*.f64 #s(literal 841/108 binary64) x)
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))))
✓	accuracy	99.5%	(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64)))

Results

245.0ms	255×	0	valid
4.0ms	1×	5	exit

Compiler

Compiled 233 to 32 computations (86.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 78.0ms

...c/correct-round.rkt:119:19: 33.0ms (42.6% of total)

ival-div: 17.0ms (21.9% of total)

ival-mult: 13.0ms (16.8% of total)

ival-add: 8.0ms (10.3% of total)

compiled-spec: 4.0ms (5.2% of total)

ival-sub: 1.0ms (1.3% of total)

const: 1.0ms (1.3% of total)

backward-pass: 1.0ms (1.3% of total)

series15.0ms (0.2%)

Counts

18 → 216

Calls

Call 1

Inputs
#<alt (/ 1 (/ 1 (+ (* 841/108 x) 4/29)))>
#<alt (/ 1 (+ (* 841/108 x) 4/29))>
#<alt (+ (* 841/108 x) 4/29)>
#<alt (* 841/108 x)>
#<alt (/ (+ (* 707281/11664 (* x x)) -16/841) (+ (* 841/108 x) -4/29))>
#<alt (+ (* 707281/11664 (* x x)) -16/841)>
#<alt (* 707281/11664 (* x x))>
#<alt (* x x)>
#<alt (/ (/ (+ (* 500246412961/136048896 (* (* x x) (* x x))) -256/707281) (+ (* 841/108 x) -4/29)) (+ (* 707281/11664 (* x x)) 16/841))>
#<alt (/ (+ (* 500246412961/136048896 (* (* x x) (* x x))) -256/707281) (+ (* 841/108 x) -4/29))>
#<alt (+ (* 500246412961/136048896 (* (* x x) (* x x))) -256/707281)>
#<alt (* 500246412961/136048896 (* (* x x) (* x x)))>
#<alt (+ (* x (/ (* x 707281/11664) (+ (* 841/108 x) -4/29))) (- 0 (/ 16/841 (+ (* 841/108 x) -4/29))))>
#<alt (- 0 (/ 16/841 (+ (* 841/108 x) -4/29)))>
#<alt (/ (* x 707281/11664) (+ (* 841/108 x) -4/29))>
#<alt (* x 707281/11664)>
#<alt (+ (* 841/108 x) -4/29)>
#<alt (/ 16/841 (+ (* 841/108 x) -4/29))>

Outputs
#<alt 4/29>
#<alt (+ 4/29 (* 841/108 x))>
#<alt (+ 4/29 (* 841/108 x))>
#<alt (+ 4/29 (* 841/108 x))>
#<alt (* 841/108 x)>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* 841/108 x)>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt 29/4>
#<alt (+ 29/4 (* -707281/1728 x))>
#<alt (+ 29/4 (* x (- (* 17249876309/746496 x) 707281/1728)))>
#<alt (+ 29/4 (* x (- (* x (+ 17249876309/746496 (* -420707233300201/322486272 x))) 707281/1728)))>
#<alt (/ 108/841 x)>
#<alt (/ (- 108/841 (* 46656/20511149 (/ 1 x))) x)>
#<alt (/ (- (+ 108/841 (/ 20155392/500246412961 (pow x 2))) (* 46656/20511149 (/ 1 x))) x)>
#<alt (/ (- (+ 108/841 (/ 20155392/500246412961 (pow x 2))) (+ (* 46656/20511149 (/ 1 x)) (* 8707129344/12200509765705829 (/ 1 (pow x 3))))) x)>
#<alt (/ 108/841 x)>
#<alt (* -1 (/ (- (* 46656/20511149 (/ 1 x)) 108/841) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 20155392/500246412961 (/ 1 x)) 46656/20511149) x)) 108/841) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 8707129344/12200509765705829 (/ 1 x)) 20155392/500246412961) x)) 46656/20511149) x)) 108/841) x))>
#<alt 4/29>
#<alt (+ 4/29 (* 841/108 x))>
#<alt (+ 4/29 (* 841/108 x))>
#<alt (+ 4/29 (* 841/108 x))>
#<alt (* 841/108 x)>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* 841/108 x)>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt 4/29>
#<alt (+ 4/29 (* 841/108 x))>
#<alt (+ 4/29 (* 841/108 x))>
#<alt (+ 4/29 (* 841/108 x))>
#<alt (* 841/108 x)>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* 841/108 x)>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt -16/841>
#<alt (- (* 707281/11664 (pow x 2)) 16/841)>
#<alt (- (* 707281/11664 (pow x 2)) 16/841)>
#<alt (- (* 707281/11664 (pow x 2)) 16/841)>
#<alt (* 707281/11664 (pow x 2))>
#<alt (* (pow x 2) (- 707281/11664 (* 16/841 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 707281/11664 (* 16/841 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 707281/11664 (* 16/841 (/ 1 (pow x 2)))))>
#<alt (* 707281/11664 (pow x 2))>
#<alt (* (pow x 2) (- 707281/11664 (* 16/841 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 707281/11664 (* 16/841 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 707281/11664 (* 16/841 (/ 1 (pow x 2)))))>
#<alt (* 707281/11664 (pow x 2))>
#<alt (* 707281/11664 (pow x 2))>
#<alt (* 707281/11664 (pow x 2))>
#<alt (* 707281/11664 (pow x 2))>
#<alt (* 707281/11664 (pow x 2))>
#<alt (* 707281/11664 (pow x 2))>
#<alt (* 707281/11664 (pow x 2))>
#<alt (* 707281/11664 (pow x 2))>
#<alt (* 707281/11664 (pow x 2))>
#<alt (* 707281/11664 (pow x 2))>
#<alt (* 707281/11664 (pow x 2))>
#<alt (* 707281/11664 (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 4/29>
#<alt (+ 4/29 (* 841/108 x))>
#<alt (+ 4/29 (* 841/108 x))>
#<alt (+ 4/29 (* 841/108 x))>
#<alt (* 841/108 x)>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* 841/108 x)>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt 64/24389>
#<alt (+ 64/24389 (* 4/27 x))>
#<alt (+ 64/24389 (* x (+ 4/27 (* 24389/2916 x))))>
#<alt (+ 64/24389 (* x (+ 4/27 (* x (+ 24389/2916 (* 594823321/1259712 x))))))>
#<alt (* 594823321/1259712 (pow x 3))>
#<alt (* (pow x 3) (+ 594823321/1259712 (* 24389/2916 (/ 1 x))))>
#<alt (* (pow x 3) (+ 594823321/1259712 (+ (/ 4/27 (pow x 2)) (* 24389/2916 (/ 1 x)))))>
#<alt (* (pow x 3) (+ 594823321/1259712 (+ (/ 4/27 (pow x 2)) (+ (* 24389/2916 (/ 1 x)) (* 64/24389 (/ 1 (pow x 3)))))))>
#<alt (* 594823321/1259712 (pow x 3))>
#<alt (* (pow x 3) (+ 594823321/1259712 (* 24389/2916 (/ 1 x))))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 24389/2916 (* 4/27 (/ 1 x))) x)) 594823321/1259712)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 24389/2916 (+ (/ 64/24389 (pow x 2)) (* 4/27 (/ 1 x)))) x)) 594823321/1259712)))>
#<alt -256/707281>
#<alt (- (* 500246412961/136048896 (pow x 4)) 256/707281)>
#<alt (- (* 500246412961/136048896 (pow x 4)) 256/707281)>
#<alt (- (* 500246412961/136048896 (pow x 4)) 256/707281)>
#<alt (* 500246412961/136048896 (pow x 4))>
#<alt (* (pow x 4) (- 500246412961/136048896 (* 256/707281 (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (- 500246412961/136048896 (* 256/707281 (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (- 500246412961/136048896 (* 256/707281 (/ 1 (pow x 4)))))>
#<alt (* 500246412961/136048896 (pow x 4))>
#<alt (* (pow x 4) (- 500246412961/136048896 (* 256/707281 (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (- 500246412961/136048896 (* 256/707281 (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (- 500246412961/136048896 (* 256/707281 (/ 1 (pow x 4)))))>
#<alt (* 500246412961/136048896 (pow x 4))>
#<alt (* 500246412961/136048896 (pow x 4))>
#<alt (* 500246412961/136048896 (pow x 4))>
#<alt (* 500246412961/136048896 (pow x 4))>
#<alt (* 500246412961/136048896 (pow x 4))>
#<alt (* 500246412961/136048896 (pow x 4))>
#<alt (* 500246412961/136048896 (pow x 4))>
#<alt (* 500246412961/136048896 (pow x 4))>
#<alt (* 500246412961/136048896 (pow x 4))>
#<alt (* 500246412961/136048896 (pow x 4))>
#<alt (* 500246412961/136048896 (pow x 4))>
#<alt (* 500246412961/136048896 (pow x 4))>
#<alt 4/29>
#<alt (+ 4/29 (* 841/108 x))>
#<alt (+ 4/29 (* 841/108 x))>
#<alt (+ 4/29 (* 841/108 x))>
#<alt (* 841/108 x)>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* 841/108 x)>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt 4/29>
#<alt (+ 4/29 (* 841/108 x))>
#<alt (+ 4/29 (* x (+ 841/108 (* 20511149/46656 x))))>
#<alt (+ 4/29 (* x (+ 841/108 (* x (+ 20511149/46656 (* 500246412961/20155392 x))))))>
#<alt (/ -1728/707281 x)>
#<alt (* -1 (/ (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) x))>
#<alt (/ (- (* -1 (/ (+ 746496/17249876309 (* 322486272/420707233300201 (/ 1 x))) x)) 1728/707281) x)>
#<alt (/ (- (* -1 (/ (+ 322486272/420707233300201 (* 139314069504/10260628712958602189 (/ 1 x))) (pow x 2))) (+ 1728/707281 (* 746496/17249876309 (/ 1 x)))) x)>
#<alt (/ -1728/707281 x)>
#<alt (* -1 (/ (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) x))>
#<alt (* -1 (/ (+ 1728/707281 (+ (/ 322486272/420707233300201 (pow x 2)) (* 746496/17249876309 (/ 1 x)))) x))>
#<alt (* -1 (/ (+ 1728/707281 (* -1 (/ (- (* -1 (/ (+ 322486272/420707233300201 (* 139314069504/10260628712958602189 (/ 1 x))) x)) 746496/17249876309) x))) x))>
#<alt (* -20511149/46656 x)>
#<alt (* x (- (* -500246412961/20155392 x) 20511149/46656))>
#<alt (* x (- (* x (- (* -12200509765705829/8707129344 x) 500246412961/20155392)) 20511149/46656))>
#<alt (* x (- (* x (- (* x (- (* -297558232675799463481/3761479876608 x) 12200509765705829/8707129344)) 500246412961/20155392)) 20511149/46656))>
#<alt 841/108>
#<alt (+ 841/108 (* 4/29 (/ 1 x)))>
#<alt (+ 841/108 (+ (/ 1728/707281 (pow x 2)) (* 4/29 (/ 1 x))))>
#<alt (+ 841/108 (+ (/ 1728/707281 (pow x 2)) (+ (* 4/29 (/ 1 x)) (* 746496/17249876309 (/ 1 (pow x 3))))))>
#<alt 841/108>
#<alt (+ 841/108 (* 4/29 (/ 1 x)))>
#<alt (+ 841/108 (+ (/ 1728/707281 (pow x 2)) (* 4/29 (/ 1 x))))>
#<alt (+ 841/108 (* -1 (/ (- (* -1 (/ (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) x)) 4/29) x)))>
#<alt (* 707281/11664 x)>
#<alt (* 707281/11664 x)>
#<alt (* 707281/11664 x)>
#<alt (* 707281/11664 x)>
#<alt (* 707281/11664 x)>
#<alt (* 707281/11664 x)>
#<alt (* 707281/11664 x)>
#<alt (* 707281/11664 x)>
#<alt (* 707281/11664 x)>
#<alt (* 707281/11664 x)>
#<alt (* 707281/11664 x)>
#<alt (* 707281/11664 x)>
#<alt -4/29>
#<alt (- (* 841/108 x) 4/29)>
#<alt (- (* 841/108 x) 4/29)>
#<alt (- (* 841/108 x) 4/29)>
#<alt (* 841/108 x)>
#<alt (* x (- 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (- 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (- 841/108 (* 4/29 (/ 1 x))))>
#<alt (* 841/108 x)>
#<alt (* -1 (* x (- (* 4/29 (/ 1 x)) 841/108)))>
#<alt (* -1 (* x (- (* 4/29 (/ 1 x)) 841/108)))>
#<alt (* -1 (* x (- (* 4/29 (/ 1 x)) 841/108)))>
#<alt -4/29>
#<alt (- (* -841/108 x) 4/29)>
#<alt (- (* x (- (* -20511149/46656 x) 841/108)) 4/29)>
#<alt (- (* x (- (* x (- (* -500246412961/20155392 x) 20511149/46656)) 841/108)) 4/29)>
#<alt (/ 1728/707281 x)>
#<alt (/ (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) x)>
#<alt (/ (+ 1728/707281 (+ (/ 322486272/420707233300201 (pow x 2)) (* 746496/17249876309 (/ 1 x)))) x)>
#<alt (/ (+ 1728/707281 (+ (/ 322486272/420707233300201 (pow x 2)) (+ (* 746496/17249876309 (/ 1 x)) (* 139314069504/10260628712958602189 (/ 1 (pow x 3)))))) x)>
#<alt (/ 1728/707281 x)>
#<alt (/ (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) x)>
#<alt (* -1 (/ (- (* -1 (/ (+ 746496/17249876309 (* 322486272/420707233300201 (/ 1 x))) x)) 1728/707281) x))>
#<alt (* -1 (/ (- (* -1 (/ (+ 746496/17249876309 (+ (/ 139314069504/10260628712958602189 (pow x 2)) (* 322486272/420707233300201 (/ 1 x)))) x)) 1728/707281) x))>

Calls

54 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(* 500246412961/136048896 (* (* x x) (* x x)))
1.0ms	x	@	0	(+ (* x (/ (* x 707281/11664) (+ (* 841/108 x) -4/29))) (- 0 (/ 16/841 (+ (* 841/108 x) -4/29))))
1.0ms	x	@	inf	(+ (* x (/ (* x 707281/11664) (+ (* 841/108 x) -4/29))) (- 0 (/ 16/841 (+ (* 841/108 x) -4/29))))
1.0ms	x	@	-inf	(+ (* x (/ (* x 707281/11664) (+ (* 841/108 x) -4/29))) (- 0 (/ 16/841 (+ (* 841/108 x) -4/29))))
1.0ms	x	@	inf	(/ (/ (+ (* 500246412961/136048896 (* (* x x) (* x x))) -256/707281) (+ (* 841/108 x) -4/29)) (+ (* 707281/11664 (* x x)) 16/841))

rewrite1.1s (15.6%)

Algorithm

1×	batch-egg-rewrite

Rules

3102×	`-lowering-.f32`
3102×	`-lowering-.f64`
2238×	`fma-lowering-fma.f32`
2238×	`fma-lowering-fma.f64`
2172×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	32	99
1	205	91
2	1784	91
0	8605	91

Stop Event

1×	iter limit
1×	node limit

Counts

18 → 2484

Calls

Call 1

Inputs
(/ 1 (/ 1 (+ (* 841/108 x) 4/29)))
(/ 1 (+ (* 841/108 x) 4/29))
(+ (* 841/108 x) 4/29)
(* 841/108 x)
(/ (+ (* 707281/11664 (* x x)) -16/841) (+ (* 841/108 x) -4/29))
(+ (* 707281/11664 (* x x)) -16/841)
(* 707281/11664 (* x x))
(* x x)
(/ (/ (+ (* 500246412961/136048896 (* (* x x) (* x x))) -256/707281) (+ (* 841/108 x) -4/29)) (+ (* 707281/11664 (* x x)) 16/841))
(/ (+ (* 500246412961/136048896 (* (* x x) (* x x))) -256/707281) (+ (* 841/108 x) -4/29))
(+ (* 500246412961/136048896 (* (* x x) (* x x))) -256/707281)
(* 500246412961/136048896 (* (* x x) (* x x)))
(+ (* x (/ (* x 707281/11664) (+ (* 841/108 x) -4/29))) (- 0 (/ 16/841 (+ (* 841/108 x) -4/29))))
(- 0 (/ 16/841 (+ (* 841/108 x) -4/29)))
(/ (* x 707281/11664) (+ (* 841/108 x) -4/29))
(* x 707281/11664)
(+ (* 841/108 x) -4/29)
(/ 16/841 (+ (* 841/108 x) -4/29))

Outputs
(+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 841/108 binary64) x))
(+.f64 #s(literal 4/29 binary64) (.f64 #s(literal 1 binary64) (.f64 #s(literal 841/108 binary64) x)))
(+.f64 #s(literal 4/29 binary64) (.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal 1 binary64)))
(+.f64 (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64)) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)))) #s(literal 16/841 binary64) (/.f64 #s(literal -16/841 binary64) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)))))
(+.f64 (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64)) (fma.f64 #s(literal -16/841 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))) (/.f64 #s(literal -16/841 binary64) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)))))
(+.f64 (/.f64 (.f64 x (.f64 x #s(literal 707281/11664 binary64))) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))) (/.f64 #s(literal -16/841 binary64) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))))
(+.f64 #s(literal 0 binary64) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64)))
(+.f64 (/.f64 #s(literal -16/841 binary64) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))) (/.f64 (.f64 x (.f64 x #s(literal 707281/11664 binary64))) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 841/108 binary64) x)) #s(literal 4/29 binary64))
(+.f64 (.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal 1 binary64)) #s(literal 4/29 binary64))
(+.f64 (fma.f64 x (/.f64 (.f64 x #s(literal 707281/11664 binary64)) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))) (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))) #s(literal -16/841 binary64)))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)))) #s(literal -16/841 binary64) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))) #s(literal -16/841 binary64))))
(+.f64 (fma.f64 x (/.f64 (.f64 x #s(literal 707281/11664 binary64)) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))) (neg.f64 (.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)))) #s(literal 16/841 binary64)))) (fma.f64 (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))))) #s(literal 16/841 binary64) (.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)))) #s(literal 16/841 binary64))))
(+.f64 (fma.f64 x (/.f64 (.f64 x #s(literal 707281/11664 binary64)) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))) (neg.f64 (.f64 (/.f64 #s(literal -16/841 binary64) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))) #s(literal -1 binary64)))) (fma.f64 (/.f64 #s(literal -16/841 binary64) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))) #s(literal -1 binary64) (.f64 (/.f64 #s(literal -16/841 binary64) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))) #s(literal -1 binary64))))
(+.f64 (fma.f64 x (/.f64 (.f64 x #s(literal 707281/11664 binary64)) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))) (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 256/707281 binary64) (.f64 (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))))) (/.f64 #s(literal 4096/594823321 binary64) (.f64 (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)) (.f64 (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)))))))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 256/707281 binary64) (.f64 (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)))))) (/.f64 #s(literal 4096/594823321 binary64) (.f64 (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)) (.f64 (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))))) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 256/707281 binary64) (.f64 (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))))) (/.f64 #s(literal 4096/594823321 binary64) (.f64 (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)) (.f64 (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))))))))
(+.f64 (fma.f64 x (/.f64 (.f64 x #s(literal 707281/11664 binary64)) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))) (neg.f64 (.f64 (/.f64 (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)) #s(literal 16/841 binary64)) (/.f64 #s(literal 256/707281 binary64) (.f64 (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))))))) (fma.f64 (neg.f64 (/.f64 (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)) #s(literal 16/841 binary64))) (/.f64 #s(literal 256/707281 binary64) (.f64 (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)))) (.f64 (/.f64 (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)) #s(literal 16/841 binary64)) (/.f64 #s(literal 256/707281 binary64) (.f64 (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)))))))
(+.f64 (fma.f64 (.f64 x x) (/.f64 #s(literal 707281/11664 binary64) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))) (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))) #s(literal -16/841 binary64)))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)))) #s(literal -16/841 binary64) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))) #s(literal -16/841 binary64))))
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(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)) #s(literal 16/841 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -16/841 binary64) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))) (/.f64 #s(literal 256/707281 binary64) (.f64 (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))))))
(/.f64 #s(literal -16/841 binary64) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)))
(/.f64 #s(literal -16/841 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))))
(/.f64 #s(literal -16/841 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)))))
(/.f64 #s(literal 16/841 binary64) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)))
(/.f64 #s(literal 16/841 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))))
(/.f64 #s(literal 16/841 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)))))
(/.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)) #s(literal 16/841 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)) #s(literal 16/841 binary64))))
(/.f64 (/.f64 #s(literal 256/707281 binary64) (.f64 (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)))) (/.f64 #s(literal -16/841 binary64) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))))
(/.f64 (/.f64 #s(literal 4096/594823321 binary64) (.f64 (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)) (.f64 (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))))) (/.f64 #s(literal 256/707281 binary64) (.f64 (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)))))
(pow.f64 (/.f64 #s(literal -16/841 binary64) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))) #s(literal 1 binary64))
(pow.f64 (/.f64 (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)) #s(literal 16/841 binary64)) #s(literal -1 binary64))
(pow.f64 (neg.f64 (/.f64 (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)) #s(literal 16/841 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)) #s(literal 16/841 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal -16/841 binary64) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))) (/.f64 #s(literal 256/707281 binary64) (.f64 (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal -16/841 binary64) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))))
(.f64 #s(literal -16/841 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))))
(.f64 #s(literal -16/841 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)))))
(.f64 #s(literal 16/841 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))))
(.f64 #s(literal 16/841 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)))))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal -16/841 binary64) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))))
(.f64 (/.f64 #s(literal 256/707281 binary64) (.f64 (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)))) (/.f64 (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)) #s(literal 16/841 binary64)))
(.f64 (/.f64 #s(literal 4096/594823321 binary64) (.f64 (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)) (.f64 (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 256/707281 binary64) (.f64 (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))) #s(literal 16/841 binary64))
(.f64 (/.f64 #s(literal 16/841 binary64) (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 594823321/1259712 binary64)) #s(literal -64/24389 binary64))) (-.f64 (+.f64 (.f64 x (.f64 x #s(literal 707281/11664 binary64))) #s(literal 16/841 binary64)) (*.f64 x #s(literal -29/27 binary64))))
(.f64 (/.f64 #s(literal 16/841 binary64) (+.f64 (.f64 x (.f64 x #s(literal 707281/11664 binary64))) #s(literal -16/841 binary64))) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64)))

simplify355.0ms (5.1%)

Algorithm

1×	egg-herbie

Rules

3168×	`-lowering-.f32`
3168×	`-lowering-.f64`
3114×	`+-lowering-+.f64`
3114×	`+-lowering-+.f32`
1348×	`sum3-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	244	1212
1	715	1127
2	1832	1112
3	4638	1103
0	8589	1103

Stop Event

1×	iter limit
1×	node limit

Counts

216 → 216

Calls

Call 1

Inputs
4/29
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 841/108 x))
(* 841/108 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* 841/108 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
29/4
(+ 29/4 (* -707281/1728 x))
(+ 29/4 (* x (- (* 17249876309/746496 x) 707281/1728)))
(+ 29/4 (* x (- (* x (+ 17249876309/746496 (* -420707233300201/322486272 x))) 707281/1728)))
(/ 108/841 x)
(/ (- 108/841 (* 46656/20511149 (/ 1 x))) x)
(/ (- (+ 108/841 (/ 20155392/500246412961 (pow x 2))) (* 46656/20511149 (/ 1 x))) x)
(/ (- (+ 108/841 (/ 20155392/500246412961 (pow x 2))) (+ (* 46656/20511149 (/ 1 x)) (* 8707129344/12200509765705829 (/ 1 (pow x 3))))) x)
(/ 108/841 x)
(* -1 (/ (- (* 46656/20511149 (/ 1 x)) 108/841) x))
(* -1 (/ (- (* -1 (/ (- (* 20155392/500246412961 (/ 1 x)) 46656/20511149) x)) 108/841) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 8707129344/12200509765705829 (/ 1 x)) 20155392/500246412961) x)) 46656/20511149) x)) 108/841) x))
4/29
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 841/108 x))
(* 841/108 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* 841/108 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
4/29
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 841/108 x))
(* 841/108 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* 841/108 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
-16/841
(- (* 707281/11664 (pow x 2)) 16/841)
(- (* 707281/11664 (pow x 2)) 16/841)
(- (* 707281/11664 (pow x 2)) 16/841)
(* 707281/11664 (pow x 2))
(* (pow x 2) (- 707281/11664 (* 16/841 (/ 1 (pow x 2)))))
(* (pow x 2) (- 707281/11664 (* 16/841 (/ 1 (pow x 2)))))
(* (pow x 2) (- 707281/11664 (* 16/841 (/ 1 (pow x 2)))))
(* 707281/11664 (pow x 2))
(* (pow x 2) (- 707281/11664 (* 16/841 (/ 1 (pow x 2)))))
(* (pow x 2) (- 707281/11664 (* 16/841 (/ 1 (pow x 2)))))
(* (pow x 2) (- 707281/11664 (* 16/841 (/ 1 (pow x 2)))))
(* 707281/11664 (pow x 2))
(* 707281/11664 (pow x 2))
(* 707281/11664 (pow x 2))
(* 707281/11664 (pow x 2))
(* 707281/11664 (pow x 2))
(* 707281/11664 (pow x 2))
(* 707281/11664 (pow x 2))
(* 707281/11664 (pow x 2))
(* 707281/11664 (pow x 2))
(* 707281/11664 (pow x 2))
(* 707281/11664 (pow x 2))
(* 707281/11664 (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)
4/29
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 841/108 x))
(* 841/108 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* 841/108 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
64/24389
(+ 64/24389 (* 4/27 x))
(+ 64/24389 (* x (+ 4/27 (* 24389/2916 x))))
(+ 64/24389 (* x (+ 4/27 (* x (+ 24389/2916 (* 594823321/1259712 x))))))
(* 594823321/1259712 (pow x 3))
(* (pow x 3) (+ 594823321/1259712 (* 24389/2916 (/ 1 x))))
(* (pow x 3) (+ 594823321/1259712 (+ (/ 4/27 (pow x 2)) (* 24389/2916 (/ 1 x)))))
(* (pow x 3) (+ 594823321/1259712 (+ (/ 4/27 (pow x 2)) (+ (* 24389/2916 (/ 1 x)) (* 64/24389 (/ 1 (pow x 3)))))))
(* 594823321/1259712 (pow x 3))
(* (pow x 3) (+ 594823321/1259712 (* 24389/2916 (/ 1 x))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 24389/2916 (* 4/27 (/ 1 x))) x)) 594823321/1259712)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 24389/2916 (+ (/ 64/24389 (pow x 2)) (* 4/27 (/ 1 x)))) x)) 594823321/1259712)))
-256/707281
(- (* 500246412961/136048896 (pow x 4)) 256/707281)
(- (* 500246412961/136048896 (pow x 4)) 256/707281)
(- (* 500246412961/136048896 (pow x 4)) 256/707281)
(* 500246412961/136048896 (pow x 4))
(* (pow x 4) (- 500246412961/136048896 (* 256/707281 (/ 1 (pow x 4)))))
(* (pow x 4) (- 500246412961/136048896 (* 256/707281 (/ 1 (pow x 4)))))
(* (pow x 4) (- 500246412961/136048896 (* 256/707281 (/ 1 (pow x 4)))))
(* 500246412961/136048896 (pow x 4))
(* (pow x 4) (- 500246412961/136048896 (* 256/707281 (/ 1 (pow x 4)))))
(* (pow x 4) (- 500246412961/136048896 (* 256/707281 (/ 1 (pow x 4)))))
(* (pow x 4) (- 500246412961/136048896 (* 256/707281 (/ 1 (pow x 4)))))
(* 500246412961/136048896 (pow x 4))
(* 500246412961/136048896 (pow x 4))
(* 500246412961/136048896 (pow x 4))
(* 500246412961/136048896 (pow x 4))
(* 500246412961/136048896 (pow x 4))
(* 500246412961/136048896 (pow x 4))
(* 500246412961/136048896 (pow x 4))
(* 500246412961/136048896 (pow x 4))
(* 500246412961/136048896 (pow x 4))
(* 500246412961/136048896 (pow x 4))
(* 500246412961/136048896 (pow x 4))
(* 500246412961/136048896 (pow x 4))
4/29
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 841/108 x))
(* 841/108 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* 841/108 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
4/29
(+ 4/29 (* 841/108 x))
(+ 4/29 (* x (+ 841/108 (* 20511149/46656 x))))
(+ 4/29 (* x (+ 841/108 (* x (+ 20511149/46656 (* 500246412961/20155392 x))))))
(/ -1728/707281 x)
(* -1 (/ (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) x))
(/ (- (* -1 (/ (+ 746496/17249876309 (* 322486272/420707233300201 (/ 1 x))) x)) 1728/707281) x)
(/ (- (* -1 (/ (+ 322486272/420707233300201 (* 139314069504/10260628712958602189 (/ 1 x))) (pow x 2))) (+ 1728/707281 (* 746496/17249876309 (/ 1 x)))) x)
(/ -1728/707281 x)
(* -1 (/ (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) x))
(* -1 (/ (+ 1728/707281 (+ (/ 322486272/420707233300201 (pow x 2)) (* 746496/17249876309 (/ 1 x)))) x))
(* -1 (/ (+ 1728/707281 (* -1 (/ (- (* -1 (/ (+ 322486272/420707233300201 (* 139314069504/10260628712958602189 (/ 1 x))) x)) 746496/17249876309) x))) x))
(* -20511149/46656 x)
(* x (- (* -500246412961/20155392 x) 20511149/46656))
(* x (- (* x (- (* -12200509765705829/8707129344 x) 500246412961/20155392)) 20511149/46656))
(* x (- (* x (- (* x (- (* -297558232675799463481/3761479876608 x) 12200509765705829/8707129344)) 500246412961/20155392)) 20511149/46656))
841/108
(+ 841/108 (* 4/29 (/ 1 x)))
(+ 841/108 (+ (/ 1728/707281 (pow x 2)) (* 4/29 (/ 1 x))))
(+ 841/108 (+ (/ 1728/707281 (pow x 2)) (+ (* 4/29 (/ 1 x)) (* 746496/17249876309 (/ 1 (pow x 3))))))
841/108
(+ 841/108 (* 4/29 (/ 1 x)))
(+ 841/108 (+ (/ 1728/707281 (pow x 2)) (* 4/29 (/ 1 x))))
(+ 841/108 (* -1 (/ (- (* -1 (/ (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) x)) 4/29) x)))
(* 707281/11664 x)
(* 707281/11664 x)
(* 707281/11664 x)
(* 707281/11664 x)
(* 707281/11664 x)
(* 707281/11664 x)
(* 707281/11664 x)
(* 707281/11664 x)
(* 707281/11664 x)
(* 707281/11664 x)
(* 707281/11664 x)
(* 707281/11664 x)
-4/29
(- (* 841/108 x) 4/29)
(- (* 841/108 x) 4/29)
(- (* 841/108 x) 4/29)
(* 841/108 x)
(* x (- 841/108 (* 4/29 (/ 1 x))))
(* x (- 841/108 (* 4/29 (/ 1 x))))
(* x (- 841/108 (* 4/29 (/ 1 x))))
(* 841/108 x)
(* -1 (* x (- (* 4/29 (/ 1 x)) 841/108)))
(* -1 (* x (- (* 4/29 (/ 1 x)) 841/108)))
(* -1 (* x (- (* 4/29 (/ 1 x)) 841/108)))
-4/29
(- (* -841/108 x) 4/29)
(- (* x (- (* -20511149/46656 x) 841/108)) 4/29)
(- (* x (- (* x (- (* -500246412961/20155392 x) 20511149/46656)) 841/108)) 4/29)
(/ 1728/707281 x)
(/ (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) x)
(/ (+ 1728/707281 (+ (/ 322486272/420707233300201 (pow x 2)) (* 746496/17249876309 (/ 1 x)))) x)
(/ (+ 1728/707281 (+ (/ 322486272/420707233300201 (pow x 2)) (+ (* 746496/17249876309 (/ 1 x)) (* 139314069504/10260628712958602189 (/ 1 (pow x 3)))))) x)
(/ 1728/707281 x)
(/ (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) x)
(* -1 (/ (- (* -1 (/ (+ 746496/17249876309 (* 322486272/420707233300201 (/ 1 x))) x)) 1728/707281) x))
(* -1 (/ (- (* -1 (/ (+ 746496/17249876309 (+ (/ 139314069504/10260628712958602189 (pow x 2)) (* 322486272/420707233300201 (/ 1 x)))) x)) 1728/707281) x))

Outputs
4/29
#s(literal 4/29 binary64)
(+ 4/29 (* 841/108 x))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 841/108 binary64) x))
(+ 4/29 (* 841/108 x))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 841/108 binary64) x))
(+ 4/29 (* 841/108 x))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 841/108 binary64) x))
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 841/108 binary64) x))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 841/108 binary64) x))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 841/108 binary64) x))
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 841/108 binary64) x))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 841/108 binary64) x))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 841/108 binary64) x))
29/4
#s(literal 29/4 binary64)
(+ 29/4 (* -707281/1728 x))
(+.f64 #s(literal 29/4 binary64) (*.f64 x #s(literal -707281/1728 binary64)))
(+ 29/4 (* x (- (* 17249876309/746496 x) 707281/1728)))
(+.f64 #s(literal 29/4 binary64) (.f64 x (+.f64 #s(literal -707281/1728 binary64) (.f64 x #s(literal 17249876309/746496 binary64)))))
(+ 29/4 (* x (- (* x (+ 17249876309/746496 (* -420707233300201/322486272 x))) 707281/1728)))
(+.f64 #s(literal 29/4 binary64) (.f64 x (+.f64 #s(literal -707281/1728 binary64) (.f64 x (+.f64 #s(literal 17249876309/746496 binary64) (*.f64 x #s(literal -420707233300201/322486272 binary64)))))))
(/ 108/841 x)
(/.f64 #s(literal 108/841 binary64) x)
(/ (- 108/841 (* 46656/20511149 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 108/841 binary64) (/.f64 #s(literal -46656/20511149 binary64) x)) x)
(/ (- (+ 108/841 (/ 20155392/500246412961 (pow x 2))) (* 46656/20511149 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 108/841 binary64) (/.f64 (+.f64 (/.f64 #s(literal 20155392/500246412961 binary64) x) #s(literal -46656/20511149 binary64)) x)) x)
(/ (- (+ 108/841 (/ 20155392/500246412961 (pow x 2))) (+ (* 46656/20511149 (/ 1 x)) (* 8707129344/12200509765705829 (/ 1 (pow x 3))))) x)
(/.f64 (+.f64 (+.f64 #s(literal 108/841 binary64) (/.f64 (+.f64 (/.f64 #s(literal 20155392/500246412961 binary64) x) #s(literal -46656/20511149 binary64)) x)) (/.f64 (/.f64 #s(literal -8707129344/12200509765705829 binary64) (*.f64 x x)) x)) x)
(/ 108/841 x)
(/.f64 #s(literal 108/841 binary64) x)
(* -1 (/ (- (* 46656/20511149 (/ 1 x)) 108/841) x))
(/.f64 (+.f64 #s(literal 108/841 binary64) (/.f64 #s(literal -46656/20511149 binary64) x)) x)
(* -1 (/ (- (* -1 (/ (- (* 20155392/500246412961 (/ 1 x)) 46656/20511149) x)) 108/841) x))
(/.f64 (+.f64 #s(literal 108/841 binary64) (/.f64 (+.f64 (/.f64 #s(literal 20155392/500246412961 binary64) x) #s(literal -46656/20511149 binary64)) x)) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 8707129344/12200509765705829 (/ 1 x)) 20155392/500246412961) x)) 46656/20511149) x)) 108/841) x))
(/.f64 (+.f64 #s(literal 108/841 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 20155392/500246412961 binary64) (/.f64 #s(literal -8707129344/12200509765705829 binary64) x)) x) #s(literal -46656/20511149 binary64)) x)) x)
4/29
#s(literal 4/29 binary64)
(+ 4/29 (* 841/108 x))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 841/108 binary64) x))
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(* 707281/11664 x)
(*.f64 x #s(literal 707281/11664 binary64))
(* 707281/11664 x)
(*.f64 x #s(literal 707281/11664 binary64))
(* 707281/11664 x)
(*.f64 x #s(literal 707281/11664 binary64))
(* 707281/11664 x)
(*.f64 x #s(literal 707281/11664 binary64))
(* 707281/11664 x)
(*.f64 x #s(literal 707281/11664 binary64))
-4/29
#s(literal -4/29 binary64)
(- (* 841/108 x) 4/29)
(+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))
(- (* 841/108 x) 4/29)
(+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))
(- (* 841/108 x) 4/29)
(+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* x (- 841/108 (* 4/29 (/ 1 x))))
(+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))
(* x (- 841/108 (* 4/29 (/ 1 x))))
(+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))
(* x (- 841/108 (* 4/29 (/ 1 x))))
(+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* -1 (* x (- (* 4/29 (/ 1 x)) 841/108)))
(+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))
(* -1 (* x (- (* 4/29 (/ 1 x)) 841/108)))
(+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))
(* -1 (* x (- (* 4/29 (/ 1 x)) 841/108)))
(+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))
-4/29
#s(literal -4/29 binary64)
(- (* -841/108 x) 4/29)
(+.f64 (*.f64 x #s(literal -841/108 binary64)) #s(literal -4/29 binary64))
(- (* x (- (* -20511149/46656 x) 841/108)) 4/29)
(+.f64 (.f64 x (+.f64 (.f64 x #s(literal -20511149/46656 binary64)) #s(literal -841/108 binary64))) #s(literal -4/29 binary64))
(- (* x (- (* x (- (* -500246412961/20155392 x) 20511149/46656)) 841/108)) 4/29)
(+.f64 (.f64 x (+.f64 (.f64 x (+.f64 #s(literal -20511149/46656 binary64) (*.f64 x #s(literal -500246412961/20155392 binary64)))) #s(literal -841/108 binary64))) #s(literal -4/29 binary64))
(/ 1728/707281 x)
(/.f64 #s(literal 1728/707281 binary64) x)
(/ (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 1728/707281 binary64) (/.f64 #s(literal 746496/17249876309 binary64) x)) x)
(/ (+ 1728/707281 (+ (/ 322486272/420707233300201 (pow x 2)) (* 746496/17249876309 (/ 1 x)))) x)
(/.f64 (+.f64 (/.f64 #s(literal 746496/17249876309 binary64) x) (+.f64 #s(literal 1728/707281 binary64) (/.f64 #s(literal 322486272/420707233300201 binary64) (*.f64 x x)))) x)
(/ (+ 1728/707281 (+ (/ 322486272/420707233300201 (pow x 2)) (+ (* 746496/17249876309 (/ 1 x)) (* 139314069504/10260628712958602189 (/ 1 (pow x 3)))))) x)
(/.f64 (+.f64 (+.f64 #s(literal 1728/707281 binary64) (/.f64 #s(literal 746496/17249876309 binary64) x)) (+.f64 (/.f64 #s(literal 322486272/420707233300201 binary64) (.f64 x x)) (/.f64 (/.f64 #s(literal 139314069504/10260628712958602189 binary64) (.f64 x x)) x))) x)
(/ 1728/707281 x)
(/.f64 #s(literal 1728/707281 binary64) x)
(/ (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 1728/707281 binary64) (/.f64 #s(literal 746496/17249876309 binary64) x)) x)
(* -1 (/ (- (* -1 (/ (+ 746496/17249876309 (* 322486272/420707233300201 (/ 1 x))) x)) 1728/707281) x))
(/.f64 (-.f64 #s(literal 1728/707281 binary64) (/.f64 (+.f64 #s(literal -746496/17249876309 binary64) (/.f64 #s(literal -322486272/420707233300201 binary64) x)) x)) x)
(* -1 (/ (- (* -1 (/ (+ 746496/17249876309 (+ (/ 139314069504/10260628712958602189 (pow x 2)) (* 322486272/420707233300201 (/ 1 x)))) x)) 1728/707281) x))
(/.f64 (-.f64 #s(literal 1728/707281 binary64) (/.f64 (+.f64 #s(literal -746496/17249876309 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal 322486272/420707233300201 binary64) (/.f64 #s(literal 139314069504/10260628712958602189 binary64) x)))) x)) x)

eval462.0ms (6.6%)

Compiler: Compiled 121763 to 3527 computations (97.1% saved)

prune223.0ms (3.2%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	2923	6	2929
Fresh	3	1	4
Picked	4	1	5
Done	0	1	1
Total	2930	9	2939

Accuracy

100.0%

Counts

2939 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.3%	(fma.f64 x (.f64 (/.f64 #s(literal 707281/11664 binary64) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))) x) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 16/841 binary64) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)))))
	72.4%	(/.f64 (+.f64 (.f64 #s(literal 707281/11664 binary64) (.f64 x x)) #s(literal -16/841 binary64)) (.f64 (+.f64 (.f64 x (.f64 x #s(literal 707281/11664 binary64))) #s(literal -16/841 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64)))))
▶	29.1%	(/.f64 (+.f64 (.f64 #s(literal 707281/11664 binary64) (.f64 x x)) #s(literal -16/841 binary64)) (*.f64 #s(literal 841/108 binary64) x))
	47.1%	(/.f64 (+.f64 #s(literal 64/24389 binary64) (.f64 x #s(literal 4/27 binary64))) (+.f64 (.f64 #s(literal 707281/11664 binary64) (*.f64 x x)) #s(literal 16/841 binary64)))
▶	54.8%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 108/841 binary64) (/.f64 #s(literal -46656/20511149 binary64) x)) x))
▶	54.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 108/841 binary64) x))
✓	99.9%	(+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))
▶	54.8%	(*.f64 #s(literal 841/108 binary64) x)
✓	45.9%	#s(literal 4/29 binary64)

Compiler

Compiled 190 to 139 computations (26.8% saved)

simplify169.0ms (2.4%)

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 #s(literal 707281/11664 binary64) (.f64 x x))
✓	cost-diff	0	(+.f64 (.f64 #s(literal 707281/11664 binary64) (.f64 x x)) #s(literal -16/841 binary64))
✓	cost-diff	256	(/.f64 (+.f64 (.f64 #s(literal 707281/11664 binary64) (.f64 x x)) #s(literal -16/841 binary64)) (*.f64 #s(literal 841/108 binary64) x))
✓	cost-diff	0	(/.f64 #s(literal -46656/20511149 binary64) x)
✓	cost-diff	0	(+.f64 #s(literal 108/841 binary64) (/.f64 #s(literal -46656/20511149 binary64) x))
✓	cost-diff	0	(/.f64 (+.f64 #s(literal 108/841 binary64) (/.f64 #s(literal -46656/20511149 binary64) x)) x)
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 108/841 binary64) (/.f64 #s(literal -46656/20511149 binary64) x)) x))
✓	cost-diff	0	(/.f64 #s(literal 108/841 binary64) x)
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 108/841 binary64) x))
✓	cost-diff	0	(*.f64 #s(literal 841/108 binary64) x)
✓	cost-diff	0	(/.f64 #s(literal 707281/11664 binary64) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)))
✓	cost-diff	0	(.f64 (/.f64 #s(literal 707281/11664 binary64) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))) x)
✓	cost-diff	128	(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 16/841 binary64) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))))
✓	cost-diff	6400	(fma.f64 x (.f64 (/.f64 #s(literal 707281/11664 binary64) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))) x) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 16/841 binary64) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)))))

Rules

1730×	`sum3-define`
1358×	`fnmadd-define`
1222×	`fnmsub-define`
1206×	`fma-define`
1196×	`fmsub-define`

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	28	129
1	56	127
2	95	126
3	166	126
4	352	126
5	760	125
6	1729	124
7	3202	122
8	6565	122
0	8014	122

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(+ (* x (* (/ 707281/11664 (+ (* 841/108 x) -4/29)) x)) (- 0 (/ 16/841 (+ (* 841/108 x) -4/29))))
x
(* (/ 707281/11664 (+ (* 841/108 x) -4/29)) x)
(/ 707281/11664 (+ (* 841/108 x) -4/29))
707281/11664
(+ (* 841/108 x) -4/29)
(* 841/108 x)
841/108
-4/29
(- 0 (/ 16/841 (+ (* 841/108 x) -4/29)))
0
(/ 16/841 (+ (* 841/108 x) -4/29))
16/841
(* 841/108 x)
841/108
x
(/ 1 (/ 108/841 x))
1
(/ 108/841 x)
108/841
x
(/ 1 (/ (+ 108/841 (/ -46656/20511149 x)) x))
1
(/ (+ 108/841 (/ -46656/20511149 x)) x)
(+ 108/841 (/ -46656/20511149 x))
108/841
(/ -46656/20511149 x)
-46656/20511149
x
(/ (+ (* 707281/11664 (* x x)) -16/841) (* 841/108 x))
(+ (* 707281/11664 (* x x)) -16/841)
(* 707281/11664 (* x x))
707281/11664
(* x x)
x
-16/841
(* 841/108 x)
841/108

Outputs
(+ (* x (* (/ 707281/11664 (+ (* 841/108 x) -4/29)) x)) (- 0 (/ 16/841 (+ (* 841/108 x) -4/29))))
(+.f64 (/.f64 (.f64 x (.f64 x #s(literal 707281/11664 binary64))) (+.f64 #s(literal -4/29 binary64) (.f64 x #s(literal 841/108 binary64)))) (/.f64 #s(literal 16/841 binary64) (-.f64 #s(literal 4/29 binary64) (.f64 x #s(literal 841/108 binary64)))))
x
(* (/ 707281/11664 (+ (* 841/108 x) -4/29)) x)
(/.f64 (.f64 x #s(literal 707281/11664 binary64)) (+.f64 #s(literal -4/29 binary64) (.f64 x #s(literal 841/108 binary64))))
(/ 707281/11664 (+ (* 841/108 x) -4/29))
(/.f64 #s(literal 707281/11664 binary64) (+.f64 #s(literal -4/29 binary64) (*.f64 x #s(literal 841/108 binary64))))
707281/11664
#s(literal 707281/11664 binary64)
(+ (* 841/108 x) -4/29)
(+.f64 #s(literal -4/29 binary64) (*.f64 x #s(literal 841/108 binary64)))
(* 841/108 x)
(*.f64 x #s(literal 841/108 binary64))
841/108
#s(literal 841/108 binary64)
-4/29
#s(literal -4/29 binary64)
(- 0 (/ 16/841 (+ (* 841/108 x) -4/29)))
(/.f64 #s(literal 16/841 binary64) (-.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal 841/108 binary64))))
0
#s(literal 0 binary64)
(/ 16/841 (+ (* 841/108 x) -4/29))
(/.f64 #s(literal 16/841 binary64) (+.f64 #s(literal -4/29 binary64) (*.f64 x #s(literal 841/108 binary64))))
16/841
#s(literal 16/841 binary64)
(* 841/108 x)
(*.f64 x #s(literal 841/108 binary64))
841/108
#s(literal 841/108 binary64)
x
(/ 1 (/ 108/841 x))
(*.f64 x #s(literal 841/108 binary64))
1
#s(literal 1 binary64)
(/ 108/841 x)
(/.f64 #s(literal 108/841 binary64) x)
108/841
#s(literal 108/841 binary64)
x
(/ 1 (/ (+ 108/841 (/ -46656/20511149 x)) x))
(/.f64 x (+.f64 #s(literal 108/841 binary64) (/.f64 #s(literal -46656/20511149 binary64) x)))
1
#s(literal 1 binary64)
(/ (+ 108/841 (/ -46656/20511149 x)) x)
(/.f64 (+.f64 #s(literal 108/841 binary64) (/.f64 #s(literal -46656/20511149 binary64) x)) x)
(+ 108/841 (/ -46656/20511149 x))
(+.f64 #s(literal 108/841 binary64) (/.f64 #s(literal -46656/20511149 binary64) x))
108/841
#s(literal 108/841 binary64)
(/ -46656/20511149 x)
(/.f64 #s(literal -46656/20511149 binary64) x)
-46656/20511149
#s(literal -46656/20511149 binary64)
x
(/ (+ (* 707281/11664 (* x x)) -16/841) (* 841/108 x))
(+.f64 (*.f64 x #s(literal 841/108 binary64)) (/.f64 #s(literal -1728/707281 binary64) x))
(+ (* 707281/11664 (* x x)) -16/841)
(-.f64 #s(literal -16/841 binary64) (.f64 (.f64 x x) #s(literal -707281/11664 binary64)))
(* 707281/11664 (* x x))
(.f64 x (.f64 x #s(literal 707281/11664 binary64)))
707281/11664
#s(literal 707281/11664 binary64)
(* x x)
(*.f64 x x)
x
-16/841
#s(literal -16/841 binary64)
(* 841/108 x)
(*.f64 x #s(literal 841/108 binary64))
841/108
#s(literal 841/108 binary64)

localize160.0ms (2.3%)

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 (.f64 #s(literal 707281/11664 binary64) (.f64 x x)) #s(literal -16/841 binary64))
✓	accuracy	99.8%	(*.f64 #s(literal 841/108 binary64) x)
✓	accuracy	99.6%	(.f64 #s(literal 707281/11664 binary64) (.f64 x x))
✓	accuracy	74.0%	(/.f64 (+.f64 (.f64 #s(literal 707281/11664 binary64) (.f64 x x)) #s(literal -16/841 binary64)) (*.f64 #s(literal 841/108 binary64) x))
✓	accuracy	100.0%	(+.f64 #s(literal 108/841 binary64) (/.f64 #s(literal -46656/20511149 binary64) x))
✓	accuracy	99.7%	(/.f64 (+.f64 #s(literal 108/841 binary64) (/.f64 #s(literal -46656/20511149 binary64) x)) x)
✓	accuracy	99.2%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 108/841 binary64) (/.f64 #s(literal -46656/20511149 binary64) x)) x))
✓	accuracy	99.1%	(/.f64 #s(literal -46656/20511149 binary64) x)
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 108/841 binary64) x))
✓	accuracy	99.5%	(/.f64 #s(literal 108/841 binary64) x)
✓	accuracy	99.8%	(*.f64 #s(literal 841/108 binary64) x)
✓	accuracy	99.8%	(*.f64 #s(literal 841/108 binary64) x)
✓	accuracy	99.6%	(.f64 (/.f64 #s(literal 707281/11664 binary64) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))) x)
✓	accuracy	99.4%	(/.f64 #s(literal 707281/11664 binary64) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)))
✓	accuracy	99.2%	(/.f64 #s(literal 16/841 binary64) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)))

Results

104.0ms	255×	0	valid
5.0ms	1×	5	exit

Compiler

Compiled 145 to 28 computations (80.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 70.0ms

...c/correct-round.rkt:119:19: 29.0ms (41.4% of total)

ival-div: 15.0ms (21.4% of total)

ival-mult: 15.0ms (21.4% of total)

ival-add: 5.0ms (7.1% of total)

compiled-spec: 4.0ms (5.7% of total)

const: 1.0ms (1.4% of total)

ival-sub: 1.0ms (1.4% of total)

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

series8.0ms (0.1%)

Counts

16 → 192

Calls

Call 1

Inputs
#<alt (+ (* x (* (/ 707281/11664 (+ (* 841/108 x) -4/29)) x)) (- 0 (/ 16/841 (+ (* 841/108 x) -4/29))))>
#<alt (- 0 (/ 16/841 (+ (* 841/108 x) -4/29)))>
#<alt (* (/ 707281/11664 (+ (* 841/108 x) -4/29)) x)>
#<alt (/ 707281/11664 (+ (* 841/108 x) -4/29))>
#<alt (* 841/108 x)>
#<alt (/ 1 (/ 108/841 x))>
#<alt (/ 108/841 x)>
#<alt (/ 1 (/ (+ 108/841 (/ -46656/20511149 x)) x))>
#<alt (/ (+ 108/841 (/ -46656/20511149 x)) x)>
#<alt (+ 108/841 (/ -46656/20511149 x))>
#<alt (/ -46656/20511149 x)>
#<alt (/ (+ (* 707281/11664 (* x x)) -16/841) (* 841/108 x))>
#<alt (+ (* 707281/11664 (* x x)) -16/841)>
#<alt (* 707281/11664 (* x x))>
#<alt (* x x)>
#<alt (/ 16/841 (+ (* 841/108 x) -4/29))>

Outputs
#<alt 4/29>
#<alt (+ 4/29 (* 841/108 x))>
#<alt (+ 4/29 (* 841/108 x))>
#<alt (+ 4/29 (* 841/108 x))>
#<alt (* 841/108 x)>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* 841/108 x)>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt 4/29>
#<alt (+ 4/29 (* 841/108 x))>
#<alt (+ 4/29 (* x (+ 841/108 (* 20511149/46656 x))))>
#<alt (+ 4/29 (* x (+ 841/108 (* x (+ 20511149/46656 (* 500246412961/20155392 x))))))>
#<alt (/ -1728/707281 x)>
#<alt (* -1 (/ (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) x))>
#<alt (/ (- (* -1 (/ (+ 746496/17249876309 (* 322486272/420707233300201 (/ 1 x))) x)) 1728/707281) x)>
#<alt (/ (- (* -1 (/ (+ 322486272/420707233300201 (* 139314069504/10260628712958602189 (/ 1 x))) (pow x 2))) (+ 1728/707281 (* 746496/17249876309 (/ 1 x)))) x)>
#<alt (/ -1728/707281 x)>
#<alt (* -1 (/ (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) x))>
#<alt (* -1 (/ (+ 1728/707281 (+ (/ 322486272/420707233300201 (pow x 2)) (* 746496/17249876309 (/ 1 x)))) x))>
#<alt (* -1 (/ (+ 1728/707281 (* -1 (/ (- (* -1 (/ (+ 322486272/420707233300201 (* 139314069504/10260628712958602189 (/ 1 x))) x)) 746496/17249876309) x))) x))>
#<alt (* -20511149/46656 x)>
#<alt (* x (- (* -500246412961/20155392 x) 20511149/46656))>
#<alt (* x (- (* x (- (* -12200509765705829/8707129344 x) 500246412961/20155392)) 20511149/46656))>
#<alt (* x (- (* x (- (* x (- (* -297558232675799463481/3761479876608 x) 12200509765705829/8707129344)) 500246412961/20155392)) 20511149/46656))>
#<alt 841/108>
#<alt (+ 841/108 (* 4/29 (/ 1 x)))>
#<alt (+ 841/108 (+ (/ 1728/707281 (pow x 2)) (* 4/29 (/ 1 x))))>
#<alt (+ 841/108 (+ (/ 1728/707281 (pow x 2)) (+ (* 4/29 (/ 1 x)) (* 746496/17249876309 (/ 1 (pow x 3))))))>
#<alt 841/108>
#<alt (+ 841/108 (* 4/29 (/ 1 x)))>
#<alt (+ 841/108 (+ (/ 1728/707281 (pow x 2)) (* 4/29 (/ 1 x))))>
#<alt (+ 841/108 (* -1 (/ (- (* -1 (/ (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) x)) 4/29) x)))>
#<alt -20511149/46656>
#<alt (- (* -500246412961/20155392 x) 20511149/46656)>
#<alt (- (* x (- (* -12200509765705829/8707129344 x) 500246412961/20155392)) 20511149/46656)>
#<alt (- (* x (- (* x (- (* -297558232675799463481/3761479876608 x) 12200509765705829/8707129344)) 500246412961/20155392)) 20511149/46656)>
#<alt (/ 841/108 x)>
#<alt (/ (+ 841/108 (* 4/29 (/ 1 x))) x)>
#<alt (/ (+ 841/108 (+ (/ 1728/707281 (pow x 2)) (* 4/29 (/ 1 x)))) x)>
#<alt (/ (+ 841/108 (+ (/ 1728/707281 (pow x 2)) (+ (* 4/29 (/ 1 x)) (* 746496/17249876309 (/ 1 (pow x 3)))))) x)>
#<alt (/ 841/108 x)>
#<alt (/ (+ 841/108 (* 4/29 (/ 1 x))) x)>
#<alt (* -1 (/ (- (* -1 (/ (+ 4/29 (* 1728/707281 (/ 1 x))) x)) 841/108) x))>
#<alt (* -1 (/ (- (* -1 (/ (+ 4/29 (+ (/ 746496/17249876309 (pow x 2)) (* 1728/707281 (/ 1 x)))) x)) 841/108) x))>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (/ 108/841 x)>
#<alt (/ 108/841 x)>
#<alt (/ 108/841 x)>
#<alt (/ 108/841 x)>
#<alt (/ 108/841 x)>
#<alt (/ 108/841 x)>
#<alt (/ 108/841 x)>
#<alt (/ 108/841 x)>
#<alt (/ 108/841 x)>
#<alt (/ 108/841 x)>
#<alt (/ 108/841 x)>
#<alt (/ 108/841 x)>
#<alt (* -20511149/46656 (pow x 2))>
#<alt (* (pow x 2) (- (* -500246412961/20155392 x) 20511149/46656))>
#<alt (* (pow x 2) (- (* x (- (* -12200509765705829/8707129344 x) 500246412961/20155392)) 20511149/46656))>
#<alt (* (pow x 2) (- (* x (- (* x (- (* -297558232675799463481/3761479876608 x) 12200509765705829/8707129344)) 500246412961/20155392)) 20511149/46656))>
#<alt (* 841/108 x)>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (+ (/ 1728/707281 (pow x 2)) (* 4/29 (/ 1 x)))))>
#<alt (* x (+ 841/108 (+ (/ 1728/707281 (pow x 2)) (+ (* 4/29 (/ 1 x)) (* 746496/17249876309 (/ 1 (pow x 3)))))))>
#<alt (* 841/108 x)>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* -1 (* x (- (* -1 (/ (+ 4/29 (* 1728/707281 (/ 1 x))) x)) 841/108)))>
#<alt (* -1 (* x (- (* -1 (/ (+ 4/29 (+ (/ 746496/17249876309 (pow x 2)) (* 1728/707281 (/ 1 x)))) x)) 841/108)))>
#<alt (/ -46656/20511149 (pow x 2))>
#<alt (/ (- (* 108/841 x) 46656/20511149) (pow x 2))>
#<alt (/ (- (* 108/841 x) 46656/20511149) (pow x 2))>
#<alt (/ (- (* 108/841 x) 46656/20511149) (pow x 2))>
#<alt (/ 108/841 x)>
#<alt (/ (- 108/841 (* 46656/20511149 (/ 1 x))) x)>
#<alt (/ (- 108/841 (* 46656/20511149 (/ 1 x))) x)>
#<alt (/ (- 108/841 (* 46656/20511149 (/ 1 x))) x)>
#<alt (/ 108/841 x)>
#<alt (* -1 (/ (- (* 46656/20511149 (/ 1 x)) 108/841) x))>
#<alt (* -1 (/ (- (* 46656/20511149 (/ 1 x)) 108/841) x))>
#<alt (* -1 (/ (- (* 46656/20511149 (/ 1 x)) 108/841) x))>
#<alt (/ -46656/20511149 x)>
#<alt (/ (- (* 108/841 x) 46656/20511149) x)>
#<alt (/ (- (* 108/841 x) 46656/20511149) x)>
#<alt (/ (- (* 108/841 x) 46656/20511149) x)>
#<alt 108/841>
#<alt (- 108/841 (* 46656/20511149 (/ 1 x)))>
#<alt (- 108/841 (* 46656/20511149 (/ 1 x)))>
#<alt (- 108/841 (* 46656/20511149 (/ 1 x)))>
#<alt 108/841>
#<alt (- 108/841 (* 46656/20511149 (/ 1 x)))>
#<alt (- 108/841 (* 46656/20511149 (/ 1 x)))>
#<alt (- 108/841 (* 46656/20511149 (/ 1 x)))>
#<alt (/ -46656/20511149 x)>
#<alt (/ -46656/20511149 x)>
#<alt (/ -46656/20511149 x)>
#<alt (/ -46656/20511149 x)>
#<alt (/ -46656/20511149 x)>
#<alt (/ -46656/20511149 x)>
#<alt (/ -46656/20511149 x)>
#<alt (/ -46656/20511149 x)>
#<alt (/ -46656/20511149 x)>
#<alt (/ -46656/20511149 x)>
#<alt (/ -46656/20511149 x)>
#<alt (/ -46656/20511149 x)>
#<alt (/ -1728/707281 x)>
#<alt (/ (- (* 841/108 (pow x 2)) 1728/707281) x)>
#<alt (/ (- (* 841/108 (pow x 2)) 1728/707281) x)>
#<alt (/ (- (* 841/108 (pow x 2)) 1728/707281) x)>
#<alt (* 841/108 x)>
#<alt (* x (- 841/108 (* 1728/707281 (/ 1 (pow x 2)))))>
#<alt (* x (- 841/108 (* 1728/707281 (/ 1 (pow x 2)))))>
#<alt (* x (- 841/108 (* 1728/707281 (/ 1 (pow x 2)))))>
#<alt (* 841/108 x)>
#<alt (* -1 (* x (- (* 1728/707281 (/ 1 (pow x 2))) 841/108)))>
#<alt (* -1 (* x (- (* 1728/707281 (/ 1 (pow x 2))) 841/108)))>
#<alt (* -1 (* x (- (* 1728/707281 (/ 1 (pow x 2))) 841/108)))>
#<alt -16/841>
#<alt (- (* 707281/11664 (pow x 2)) 16/841)>
#<alt (- (* 707281/11664 (pow x 2)) 16/841)>
#<alt (- (* 707281/11664 (pow x 2)) 16/841)>
#<alt (* 707281/11664 (pow x 2))>
#<alt (* (pow x 2) (- 707281/11664 (* 16/841 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 707281/11664 (* 16/841 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 707281/11664 (* 16/841 (/ 1 (pow x 2)))))>
#<alt (* 707281/11664 (pow x 2))>
#<alt (* (pow x 2) (- 707281/11664 (* 16/841 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 707281/11664 (* 16/841 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 707281/11664 (* 16/841 (/ 1 (pow x 2)))))>
#<alt (* 707281/11664 (pow x 2))>
#<alt (* 707281/11664 (pow x 2))>
#<alt (* 707281/11664 (pow x 2))>
#<alt (* 707281/11664 (pow x 2))>
#<alt (* 707281/11664 (pow x 2))>
#<alt (* 707281/11664 (pow x 2))>
#<alt (* 707281/11664 (pow x 2))>
#<alt (* 707281/11664 (pow x 2))>
#<alt (* 707281/11664 (pow x 2))>
#<alt (* 707281/11664 (pow x 2))>
#<alt (* 707281/11664 (pow x 2))>
#<alt (* 707281/11664 (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 -4/29>
#<alt (- (* -841/108 x) 4/29)>
#<alt (- (* x (- (* -20511149/46656 x) 841/108)) 4/29)>
#<alt (- (* x (- (* x (- (* -500246412961/20155392 x) 20511149/46656)) 841/108)) 4/29)>
#<alt (/ 1728/707281 x)>
#<alt (/ (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) x)>
#<alt (/ (+ 1728/707281 (+ (/ 322486272/420707233300201 (pow x 2)) (* 746496/17249876309 (/ 1 x)))) x)>
#<alt (/ (+ 1728/707281 (+ (/ 322486272/420707233300201 (pow x 2)) (+ (* 746496/17249876309 (/ 1 x)) (* 139314069504/10260628712958602189 (/ 1 (pow x 3)))))) x)>
#<alt (/ 1728/707281 x)>
#<alt (/ (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) x)>
#<alt (* -1 (/ (- (* -1 (/ (+ 746496/17249876309 (* 322486272/420707233300201 (/ 1 x))) x)) 1728/707281) x))>
#<alt (* -1 (/ (- (* -1 (/ (+ 746496/17249876309 (+ (/ 139314069504/10260628712958602189 (pow x 2)) (* 322486272/420707233300201 (/ 1 x)))) x)) 1728/707281) x))>

Calls

48 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(/ 1 (/ (+ 108/841 (/ -46656/20511149 x)) x))
0.0ms	x	@	0	(/ (+ (* 707281/11664 (* x x)) -16/841) (* 841/108 x))
0.0ms	x	@	inf	(/ (+ (* 707281/11664 (* x x)) -16/841) (* 841/108 x))
0.0ms	x	@	-inf	(/ (+ 108/841 (/ -46656/20511149 x)) x)
0.0ms	x	@	0	(/ -46656/20511149 x)

rewrite467.0ms (6.7%)

Algorithm

1×	batch-egg-rewrite

Rules

3472×	`/-lowering-/.f32`
3472×	`/-lowering-/.f64`
3100×	`-lowering-.f32`
3100×	`-lowering-.f64`
1472×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	28	101
1	178	97
2	1512	85
0	8783	85

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 867

Calls

Call 1

Inputs
(+ (* x (* (/ 707281/11664 (+ (* 841/108 x) -4/29)) x)) (- 0 (/ 16/841 (+ (* 841/108 x) -4/29))))
(- 0 (/ 16/841 (+ (* 841/108 x) -4/29)))
(* (/ 707281/11664 (+ (* 841/108 x) -4/29)) x)
(/ 707281/11664 (+ (* 841/108 x) -4/29))
(* 841/108 x)
(/ 1 (/ 108/841 x))
(/ 108/841 x)
(/ 1 (/ (+ 108/841 (/ -46656/20511149 x)) x))
(/ (+ 108/841 (/ -46656/20511149 x)) x)
(+ 108/841 (/ -46656/20511149 x))
(/ -46656/20511149 x)
(/ (+ (* 707281/11664 (* x x)) -16/841) (* 841/108 x))
(+ (* 707281/11664 (* x x)) -16/841)
(* 707281/11664 (* x x))
(* x x)
(/ 16/841 (+ (* 841/108 x) -4/29))

Outputs
(+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal 4/29 binary64))
(+.f64 (/.f64 (.f64 x (.f64 x #s(literal 707281/11664 binary64))) (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal -4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal -4/29 binary64))))
(+.f64 #s(literal 0 binary64) (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal 4/29 binary64)))
(+.f64 (/.f64 #s(literal 16/841 binary64) (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal -4/29 binary64))) (/.f64 (.f64 x (.f64 x #s(literal 707281/11664 binary64))) (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal -4/29 binary64))))
(+.f64 (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal 4/29 binary64)) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal -4/29 binary64)))) #s(literal 16/841 binary64) (/.f64 #s(literal 16/841 binary64) (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal -4/29 binary64)))))
(+.f64 (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal 4/29 binary64)) (fma.f64 #s(literal -16/841 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal -4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal -4/29 binary64)))))
(+.f64 (fma.f64 x (/.f64 (.f64 x #s(literal 707281/11664 binary64)) (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal -4/29 binary64))) (neg.f64 (.f64 (/.f64 #s(literal 16/841 binary64) (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal -4/29 binary64))) #s(literal 1 binary64)))) (fma.f64 (/.f64 #s(literal 16/841 binary64) (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal -4/29 binary64))) #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 16/841 binary64) (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal -4/29 binary64))) #s(literal 1 binary64))))
(+.f64 (fma.f64 x (/.f64 (.f64 x #s(literal 707281/11664 binary64)) (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal -4/29 binary64))) (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x #s(literal -841/108 binary64)) #s(literal 4/29 binary64))) #s(literal -16/841 binary64)))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x #s(literal -841/108 binary64)) #s(literal 4/29 binary64)))) #s(literal -16/841 binary64) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x #s(literal -841/108 binary64)) #s(literal 4/29 binary64))) #s(literal -16/841 binary64))))
(+.f64 (fma.f64 x (/.f64 (.f64 x #s(literal 707281/11664 binary64)) (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal -4/29 binary64))) (neg.f64 (.f64 (+.f64 (.f64 x (.f64 x #s(literal 707281/11664 binary64))) (-.f64 #s(literal 16/841 binary64) (.f64 x #s(literal -29/27 binary64)))) (/.f64 #s(literal 16/841 binary64) (+.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal 1259712/594823321 binary64)) #s(literal -64/24389 binary64)))))) (fma.f64 (neg.f64 (+.f64 (.f64 x (.f64 x #s(literal 707281/11664 binary64))) (-.f64 #s(literal 16/841 binary64) (.f64 x #s(literal -29/27 binary64))))) (/.f64 #s(literal 16/841 binary64) (+.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal 1259712/594823321 binary64)) #s(literal -64/24389 binary64))) (.f64 (+.f64 (.f64 x (.f64 x #s(literal 707281/11664 binary64))) (-.f64 #s(literal 16/841 binary64) (.f64 x #s(literal -29/27 binary64)))) (/.f64 #s(literal 16/841 binary64) (+.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal 1259712/594823321 binary64)) #s(literal -64/24389 binary64))))))
(+.f64 (fma.f64 x (/.f64 (.f64 x #s(literal 707281/11664 binary64)) (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal -4/29 binary64))) (neg.f64 (.f64 (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal 4/29 binary64)) (/.f64 #s(literal 16/841 binary64) (+.f64 (.f64 x (.f64 x #s(literal 707281/11664 binary64))) #s(literal -16/841 binary64)))))) (fma.f64 (neg.f64 (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal 4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (+.f64 (.f64 x (.f64 x #s(literal 707281/11664 binary64))) #s(literal -16/841 binary64))) (.f64 (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal 4/29 binary64)) (/.f64 #s(literal 16/841 binary64) (+.f64 (.f64 x (*.f64 x #s(literal 707281/11664 binary64))) #s(literal -16/841 binary64))))))
(+.f64 (fma.f64 (/.f64 #s(literal 707281/11664 binary64) (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal -4/29 binary64))) (.f64 x x) (neg.f64 (.f64 (/.f64 #s(literal 16/841 binary64) (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal -4/29 binary64))) #s(literal 1 binary64)))) (fma.f64 (/.f64 #s(literal 16/841 binary64) (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal -4/29 binary64))) #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 16/841 binary64) (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal -4/29 binary64))) #s(literal 1 binary64))))
(+.f64 (fma.f64 (/.f64 #s(literal 707281/11664 binary64) (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal -4/29 binary64))) (.f64 x x) (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x #s(literal -841/108 binary64)) #s(literal 4/29 binary64))) #s(literal -16/841 binary64)))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x #s(literal -841/108 binary64)) #s(literal 4/29 binary64)))) #s(literal -16/841 binary64) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x #s(literal -841/108 binary64)) #s(literal 4/29 binary64))) #s(literal -16/841 binary64))))
(+.f64 (fma.f64 (/.f64 #s(literal 707281/11664 binary64) (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal -4/29 binary64))) (.f64 x x) (neg.f64 (.f64 (+.f64 (.f64 x (.f64 x #s(literal 707281/11664 binary64))) (-.f64 #s(literal 16/841 binary64) (.f64 x #s(literal -29/27 binary64)))) (/.f64 #s(literal 16/841 binary64) (+.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal 1259712/594823321 binary64)) #s(literal -64/24389 binary64)))))) (fma.f64 (neg.f64 (+.f64 (.f64 x (.f64 x #s(literal 707281/11664 binary64))) (-.f64 #s(literal 16/841 binary64) (.f64 x #s(literal -29/27 binary64))))) (/.f64 #s(literal 16/841 binary64) (+.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal 1259712/594823321 binary64)) #s(literal -64/24389 binary64))) (.f64 (+.f64 (.f64 x (.f64 x #s(literal 707281/11664 binary64))) (-.f64 #s(literal 16/841 binary64) (.f64 x #s(literal -29/27 binary64)))) (/.f64 #s(literal 16/841 binary64) (+.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal 1259712/594823321 binary64)) #s(literal -64/24389 binary64))))))
(+.f64 (fma.f64 (/.f64 #s(literal 707281/11664 binary64) (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal -4/29 binary64))) (.f64 x x) (neg.f64 (.f64 (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal 4/29 binary64)) (/.f64 #s(literal 16/841 binary64) (+.f64 (.f64 x (.f64 x #s(literal 707281/11664 binary64))) #s(literal -16/841 binary64)))))) (fma.f64 (neg.f64 (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal 4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (+.f64 (.f64 x (.f64 x #s(literal 707281/11664 binary64))) #s(literal -16/841 binary64))) (.f64 (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal 4/29 binary64)) (/.f64 #s(literal 16/841 binary64) (+.f64 (.f64 x (*.f64 x #s(literal 707281/11664 binary64))) #s(literal -16/841 binary64))))))
(+.f64 (fma.f64 (/.f64 (.f64 x #s(literal 707281/11664 binary64)) (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal -4/29 binary64))) x (neg.f64 (.f64 (/.f64 #s(literal 16/841 binary64) (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal -4/29 binary64))) #s(literal 1 binary64)))) (fma.f64 (/.f64 #s(literal 16/841 binary64) (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal -4/29 binary64))) #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 16/841 binary64) (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal -4/29 binary64))) #s(literal 1 binary64))))
(+.f64 (fma.f64 (/.f64 (.f64 x #s(literal 707281/11664 binary64)) (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal -4/29 binary64))) x (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x #s(literal -841/108 binary64)) #s(literal 4/29 binary64))) #s(literal -16/841 binary64)))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x #s(literal -841/108 binary64)) #s(literal 4/29 binary64)))) #s(literal -16/841 binary64) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x #s(literal -841/108 binary64)) #s(literal 4/29 binary64))) #s(literal -16/841 binary64))))
(+.f64 (fma.f64 (/.f64 (.f64 x #s(literal 707281/11664 binary64)) (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal -4/29 binary64))) x (neg.f64 (.f64 (+.f64 (.f64 x (.f64 x #s(literal 707281/11664 binary64))) (-.f64 #s(literal 16/841 binary64) (.f64 x #s(literal -29/27 binary64)))) (/.f64 #s(literal 16/841 binary64) (+.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal 1259712/594823321 binary64)) #s(literal -64/24389 binary64)))))) (fma.f64 (neg.f64 (+.f64 (.f64 x (.f64 x #s(literal 707281/11664 binary64))) (-.f64 #s(literal 16/841 binary64) (.f64 x #s(literal -29/27 binary64))))) (/.f64 #s(literal 16/841 binary64) (+.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal 1259712/594823321 binary64)) #s(literal -64/24389 binary64))) (.f64 (+.f64 (.f64 x (.f64 x #s(literal 707281/11664 binary64))) (-.f64 #s(literal 16/841 binary64) (.f64 x #s(literal -29/27 binary64)))) (/.f64 #s(literal 16/841 binary64) (+.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal 1259712/594823321 binary64)) #s(literal -64/24389 binary64))))))
(+.f64 (fma.f64 (/.f64 (.f64 x #s(literal 707281/11664 binary64)) (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal -4/29 binary64))) x (neg.f64 (.f64 (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal 4/29 binary64)) (/.f64 #s(literal 16/841 binary64) (+.f64 (.f64 x (.f64 x #s(literal 707281/11664 binary64))) #s(literal -16/841 binary64)))))) (fma.f64 (neg.f64 (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal 4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (+.f64 (.f64 x (.f64 x #s(literal 707281/11664 binary64))) #s(literal -16/841 binary64))) (.f64 (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal 4/29 binary64)) (/.f64 #s(literal 16/841 binary64) (+.f64 (.f64 x (*.f64 x #s(literal 707281/11664 binary64))) #s(literal -16/841 binary64))))))
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(.f64 (/.f64 (/.f64 #s(literal 16/841 binary64) (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal -4/29 binary64))) #s(literal 256/707281 binary64)) (/.f64 (/.f64 #s(literal 256/707281 binary64) (.f64 (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal -4/29 binary64)) (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal -4/29 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal -4/29 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal -4/29 binary64))))))
(.f64 (/.f64 (/.f64 #s(literal 16/841 binary64) (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal -4/29 binary64))) (.f64 (/.f64 #s(literal 16/841 binary64) (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal -4/29 binary64))) #s(literal 16/841 binary64))) (/.f64 (/.f64 #s(literal 256/707281 binary64) (*.f64 (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal -4/29 binary64)) (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal -4/29 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal -4/29 binary64)))))
(*.f64 (/.f64 (/.f64 #s(literal 16/841 binary64) (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal -4/29 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 16/841 binary64) (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal -4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal -4/29 binary64)))))
(.f64 (/.f64 (/.f64 #s(literal 16/841 binary64) (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal -4/29 binary64))) #s(literal -16/841 binary64)) (/.f64 (/.f64 #s(literal 16/841 binary64) (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal -4/29 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x #s(literal -841/108 binary64)) #s(literal 4/29 binary64)))))
(*.f64 (/.f64 (/.f64 #s(literal 16/841 binary64) (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal -4/29 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal -4/29 binary64)))) (/.f64 (/.f64 #s(literal 16/841 binary64) (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal -4/29 binary64))) #s(literal 16/841 binary64)))
(.f64 (/.f64 (/.f64 #s(literal 16/841 binary64) (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal -4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (+.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal 1259712/594823321 binary64)) #s(literal -64/24389 binary64)))) (/.f64 (/.f64 #s(literal 16/841 binary64) (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal -4/29 binary64))) (+.f64 (.f64 x (.f64 x #s(literal 707281/11664 binary64))) (-.f64 #s(literal 16/841 binary64) (.f64 x #s(literal -29/27 binary64))))))
(.f64 (/.f64 (/.f64 #s(literal 16/841 binary64) (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal -4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (+.f64 (.f64 x (*.f64 x #s(literal 707281/11664 binary64))) #s(literal -16/841 binary64)))) (/.f64 (/.f64 #s(literal 16/841 binary64) (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal -4/29 binary64))) (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal 4/29 binary64))))
(.f64 (/.f64 #s(literal 16/841 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal -4/29 binary64)))) (/.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal -4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal -4/29 binary64)))) #s(literal 16/841 binary64)))
(.f64 (/.f64 #s(literal 16/841 binary64) (/.f64 #s(literal 16/841 binary64) (+.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal 1259712/594823321 binary64)) #s(literal -64/24389 binary64)))) (/.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal -4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal -4/29 binary64)))) (+.f64 (.f64 x (.f64 x #s(literal 707281/11664 binary64))) (-.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal -29/27 binary64))))))
(.f64 (/.f64 #s(literal 16/841 binary64) (/.f64 #s(literal 16/841 binary64) (+.f64 (.f64 x (.f64 x #s(literal 707281/11664 binary64))) #s(literal -16/841 binary64)))) (/.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal -4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal -4/29 binary64)))) (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal 4/29 binary64))))
(.f64 (/.f64 #s(literal 256/707281 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal -4/29 binary64)))) (/.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal -4/29 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal -4/29 binary64)))) #s(literal 16/841 binary64)))
(.f64 (/.f64 #s(literal 256/707281 binary64) (/.f64 #s(literal 16/841 binary64) (+.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal 1259712/594823321 binary64)) #s(literal -64/24389 binary64)))) (/.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal -4/29 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal -4/29 binary64)))) (+.f64 (.f64 x (.f64 x #s(literal 707281/11664 binary64))) (-.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal -29/27 binary64))))))
(.f64 (/.f64 #s(literal 256/707281 binary64) (/.f64 #s(literal 16/841 binary64) (+.f64 (.f64 x (.f64 x #s(literal 707281/11664 binary64))) #s(literal -16/841 binary64)))) (/.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal -4/29 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal -4/29 binary64)))) (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal 4/29 binary64))))
(.f64 (/.f64 (.f64 (/.f64 #s(literal 16/841 binary64) (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal -4/29 binary64))) #s(literal 16/841 binary64)) #s(literal 16/841 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal -4/29 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal -4/29 binary64)))))
(.f64 (/.f64 (.f64 (/.f64 #s(literal 16/841 binary64) (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal -4/29 binary64))) #s(literal 16/841 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal -4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal -4/29 binary64)))))
(.f64 (/.f64 (.f64 (/.f64 #s(literal 16/841 binary64) (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal -4/29 binary64))) #s(literal 16/841 binary64)) #s(literal -16/841 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal -4/29 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal -841/108 binary64)) #s(literal 4/29 binary64)))))
(.f64 (/.f64 (.f64 (/.f64 #s(literal 16/841 binary64) (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal -4/29 binary64))) #s(literal 16/841 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal -4/29 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal -4/29 binary64))) #s(literal 16/841 binary64)))
(.f64 (/.f64 (.f64 (/.f64 #s(literal 16/841 binary64) (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal -4/29 binary64))) #s(literal 16/841 binary64)) (/.f64 #s(literal 16/841 binary64) (+.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal 1259712/594823321 binary64)) #s(literal -64/24389 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal -4/29 binary64))) (+.f64 (.f64 x (.f64 x #s(literal 707281/11664 binary64))) (-.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal -29/27 binary64))))))
(.f64 (/.f64 (.f64 (/.f64 #s(literal 16/841 binary64) (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal -4/29 binary64))) #s(literal 16/841 binary64)) (/.f64 #s(literal 16/841 binary64) (+.f64 (.f64 x (.f64 x #s(literal 707281/11664 binary64))) #s(literal -16/841 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal -4/29 binary64))) (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal 4/29 binary64))))
(*.f64 (/.f64 (/.f64 #s(literal 16/841 binary64) (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal -4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal -4/29 binary64)))) (/.f64 #s(literal 16/841 binary64) (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal -4/29 binary64))))
(.f64 (/.f64 (/.f64 #s(literal 256/707281 binary64) (.f64 (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal -4/29 binary64)) (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal -4/29 binary64)))) #s(literal 256/707281 binary64)) (/.f64 (/.f64 #s(literal 16/841 binary64) (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal -4/29 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal -4/29 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal -4/29 binary64))))))
(.f64 (/.f64 (/.f64 #s(literal 256/707281 binary64) (.f64 (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal -4/29 binary64)) (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal -4/29 binary64)))) (*.f64 (/.f64 #s(literal 16/841 binary64) (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal -4/29 binary64))) #s(literal 16/841 binary64))) (/.f64 (/.f64 #s(literal 16/841 binary64) (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal -4/29 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal -4/29 binary64)))))
(.f64 (/.f64 #s(literal 4096/594823321 binary64) (/.f64 #s(literal 16/841 binary64) (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal -4/29 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal -4/29 binary64)) (*.f64 (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal -4/29 binary64)) (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal -4/29 binary64))))) (/.f64 #s(literal 16/841 binary64) (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal -4/29 binary64)))))
(.f64 (/.f64 #s(literal 4096/594823321 binary64) (.f64 (/.f64 #s(literal 16/841 binary64) (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal -4/29 binary64))) #s(literal 16/841 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal -4/29 binary64)) (.f64 (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal -4/29 binary64)) (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal -4/29 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal -4/29 binary64)))))
(.f64 (/.f64 (pow.f64 (/.f64 #s(literal 16/841 binary64) (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal -4/29 binary64))) #s(literal 3/2 binary64)) #s(literal 16/841 binary64)) (/.f64 (pow.f64 (/.f64 #s(literal 16/841 binary64) (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal -4/29 binary64))) #s(literal 3/2 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal -4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal -4/29 binary64))))))
(*.f64 (/.f64 (pow.f64 (/.f64 #s(literal 16/841 binary64) (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal -4/29 binary64))) #s(literal 3/2 binary64)) (/.f64 #s(literal 16/841 binary64) (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal -4/29 binary64)))) (/.f64 (pow.f64 (/.f64 #s(literal 16/841 binary64) (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal -4/29 binary64))) #s(literal 3/2 binary64)) (/.f64 #s(literal 16/841 binary64) (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal -4/29 binary64)))))
(.f64 (/.f64 (pow.f64 (/.f64 #s(literal 16/841 binary64) (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal -4/29 binary64))) #s(literal 3/2 binary64)) #s(literal 256/707281 binary64)) (/.f64 (pow.f64 (/.f64 #s(literal 16/841 binary64) (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal -4/29 binary64))) #s(literal 3/2 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal -4/29 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal -4/29 binary64))))))
(.f64 (/.f64 (pow.f64 (/.f64 #s(literal 16/841 binary64) (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal -4/29 binary64))) #s(literal 3/2 binary64)) (.f64 (/.f64 #s(literal 16/841 binary64) (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal -4/29 binary64))) #s(literal 16/841 binary64))) (/.f64 (pow.f64 (/.f64 #s(literal 16/841 binary64) (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal -4/29 binary64))) #s(literal 3/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal -4/29 binary64)))))

simplify296.0ms (4.2%)

Algorithm

1×	egg-herbie

Rules

2432×	`-lowering-.f32`
2432×	`-lowering-.f64`
1654×	`sum3-define`
1538×	`+-lowering-+.f64`
1538×	`+-lowering-+.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	183	1116
1	523	1077
2	1300	1042
3	3077	1006
4	6829	1006
0	8294	1006

Stop Event

1×	iter limit
1×	node limit

Counts

192 → 192

Calls

Call 1

Inputs
4/29
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 841/108 x))
(* 841/108 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* 841/108 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
4/29
(+ 4/29 (* 841/108 x))
(+ 4/29 (* x (+ 841/108 (* 20511149/46656 x))))
(+ 4/29 (* x (+ 841/108 (* x (+ 20511149/46656 (* 500246412961/20155392 x))))))
(/ -1728/707281 x)
(* -1 (/ (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) x))
(/ (- (* -1 (/ (+ 746496/17249876309 (* 322486272/420707233300201 (/ 1 x))) x)) 1728/707281) x)
(/ (- (* -1 (/ (+ 322486272/420707233300201 (* 139314069504/10260628712958602189 (/ 1 x))) (pow x 2))) (+ 1728/707281 (* 746496/17249876309 (/ 1 x)))) x)
(/ -1728/707281 x)
(* -1 (/ (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) x))
(* -1 (/ (+ 1728/707281 (+ (/ 322486272/420707233300201 (pow x 2)) (* 746496/17249876309 (/ 1 x)))) x))
(* -1 (/ (+ 1728/707281 (* -1 (/ (- (* -1 (/ (+ 322486272/420707233300201 (* 139314069504/10260628712958602189 (/ 1 x))) x)) 746496/17249876309) x))) x))
(* -20511149/46656 x)
(* x (- (* -500246412961/20155392 x) 20511149/46656))
(* x (- (* x (- (* -12200509765705829/8707129344 x) 500246412961/20155392)) 20511149/46656))
(* x (- (* x (- (* x (- (* -297558232675799463481/3761479876608 x) 12200509765705829/8707129344)) 500246412961/20155392)) 20511149/46656))
841/108
(+ 841/108 (* 4/29 (/ 1 x)))
(+ 841/108 (+ (/ 1728/707281 (pow x 2)) (* 4/29 (/ 1 x))))
(+ 841/108 (+ (/ 1728/707281 (pow x 2)) (+ (* 4/29 (/ 1 x)) (* 746496/17249876309 (/ 1 (pow x 3))))))
841/108
(+ 841/108 (* 4/29 (/ 1 x)))
(+ 841/108 (+ (/ 1728/707281 (pow x 2)) (* 4/29 (/ 1 x))))
(+ 841/108 (* -1 (/ (- (* -1 (/ (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) x)) 4/29) x)))
-20511149/46656
(- (* -500246412961/20155392 x) 20511149/46656)
(- (* x (- (* -12200509765705829/8707129344 x) 500246412961/20155392)) 20511149/46656)
(- (* x (- (* x (- (* -297558232675799463481/3761479876608 x) 12200509765705829/8707129344)) 500246412961/20155392)) 20511149/46656)
(/ 841/108 x)
(/ (+ 841/108 (* 4/29 (/ 1 x))) x)
(/ (+ 841/108 (+ (/ 1728/707281 (pow x 2)) (* 4/29 (/ 1 x)))) x)
(/ (+ 841/108 (+ (/ 1728/707281 (pow x 2)) (+ (* 4/29 (/ 1 x)) (* 746496/17249876309 (/ 1 (pow x 3)))))) x)
(/ 841/108 x)
(/ (+ 841/108 (* 4/29 (/ 1 x))) x)
(* -1 (/ (- (* -1 (/ (+ 4/29 (* 1728/707281 (/ 1 x))) x)) 841/108) x))
(* -1 (/ (- (* -1 (/ (+ 4/29 (+ (/ 746496/17249876309 (pow x 2)) (* 1728/707281 (/ 1 x)))) x)) 841/108) x))
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(/ 108/841 x)
(/ 108/841 x)
(/ 108/841 x)
(/ 108/841 x)
(/ 108/841 x)
(/ 108/841 x)
(/ 108/841 x)
(/ 108/841 x)
(/ 108/841 x)
(/ 108/841 x)
(/ 108/841 x)
(/ 108/841 x)
(* -20511149/46656 (pow x 2))
(* (pow x 2) (- (* -500246412961/20155392 x) 20511149/46656))
(* (pow x 2) (- (* x (- (* -12200509765705829/8707129344 x) 500246412961/20155392)) 20511149/46656))
(* (pow x 2) (- (* x (- (* x (- (* -297558232675799463481/3761479876608 x) 12200509765705829/8707129344)) 500246412961/20155392)) 20511149/46656))
(* 841/108 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (+ (/ 1728/707281 (pow x 2)) (* 4/29 (/ 1 x)))))
(* x (+ 841/108 (+ (/ 1728/707281 (pow x 2)) (+ (* 4/29 (/ 1 x)) (* 746496/17249876309 (/ 1 (pow x 3)))))))
(* 841/108 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* -1 (* x (- (* -1 (/ (+ 4/29 (* 1728/707281 (/ 1 x))) x)) 841/108)))
(* -1 (* x (- (* -1 (/ (+ 4/29 (+ (/ 746496/17249876309 (pow x 2)) (* 1728/707281 (/ 1 x)))) x)) 841/108)))
(/ -46656/20511149 (pow x 2))
(/ (- (* 108/841 x) 46656/20511149) (pow x 2))
(/ (- (* 108/841 x) 46656/20511149) (pow x 2))
(/ (- (* 108/841 x) 46656/20511149) (pow x 2))
(/ 108/841 x)
(/ (- 108/841 (* 46656/20511149 (/ 1 x))) x)
(/ (- 108/841 (* 46656/20511149 (/ 1 x))) x)
(/ (- 108/841 (* 46656/20511149 (/ 1 x))) x)
(/ 108/841 x)
(* -1 (/ (- (* 46656/20511149 (/ 1 x)) 108/841) x))
(* -1 (/ (- (* 46656/20511149 (/ 1 x)) 108/841) x))
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108/841
(- 108/841 (* 46656/20511149 (/ 1 x)))
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-16/841
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(- (* 707281/11664 (pow x 2)) 16/841)
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(pow x 2)
(pow x 2)
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(pow x 2)
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(pow x 2)
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-4/29
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(- (* x (- (* x (- (* -500246412961/20155392 x) 20511149/46656)) 841/108)) 4/29)
(/ 1728/707281 x)
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(/ (+ 1728/707281 (+ (/ 322486272/420707233300201 (pow x 2)) (+ (* 746496/17249876309 (/ 1 x)) (* 139314069504/10260628712958602189 (/ 1 (pow x 3)))))) x)
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(* 841/108 x)
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(/.f64 #s(literal -46656/20511149 binary64) x)
(/ -46656/20511149 x)
(/.f64 #s(literal -46656/20511149 binary64) x)
(/ -46656/20511149 x)
(/.f64 #s(literal -46656/20511149 binary64) x)
(/ -46656/20511149 x)
(/.f64 #s(literal -46656/20511149 binary64) x)
(/ -46656/20511149 x)
(/.f64 #s(literal -46656/20511149 binary64) x)
(/ -46656/20511149 x)
(/.f64 #s(literal -46656/20511149 binary64) x)
(/ -46656/20511149 x)
(/.f64 #s(literal -46656/20511149 binary64) x)
(/ -46656/20511149 x)
(/.f64 #s(literal -46656/20511149 binary64) x)
(/ -46656/20511149 x)
(/.f64 #s(literal -46656/20511149 binary64) x)
(/ -46656/20511149 x)
(/.f64 #s(literal -46656/20511149 binary64) x)
(/ -46656/20511149 x)
(/.f64 #s(literal -46656/20511149 binary64) x)
(/ -1728/707281 x)
(/.f64 #s(literal -1728/707281 binary64) x)
(/ (- (* 841/108 (pow x 2)) 1728/707281) x)
(+.f64 (*.f64 #s(literal 841/108 binary64) x) (/.f64 #s(literal -1728/707281 binary64) x))
(/ (- (* 841/108 (pow x 2)) 1728/707281) x)
(+.f64 (*.f64 #s(literal 841/108 binary64) x) (/.f64 #s(literal -1728/707281 binary64) x))
(/ (- (* 841/108 (pow x 2)) 1728/707281) x)
(+.f64 (*.f64 #s(literal 841/108 binary64) x) (/.f64 #s(literal -1728/707281 binary64) x))
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* x (- 841/108 (* 1728/707281 (/ 1 (pow x 2)))))
(+.f64 (*.f64 #s(literal 841/108 binary64) x) (/.f64 #s(literal -1728/707281 binary64) x))
(* x (- 841/108 (* 1728/707281 (/ 1 (pow x 2)))))
(+.f64 (*.f64 #s(literal 841/108 binary64) x) (/.f64 #s(literal -1728/707281 binary64) x))
(* x (- 841/108 (* 1728/707281 (/ 1 (pow x 2)))))
(+.f64 (*.f64 #s(literal 841/108 binary64) x) (/.f64 #s(literal -1728/707281 binary64) x))
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* -1 (* x (- (* 1728/707281 (/ 1 (pow x 2))) 841/108)))
(+.f64 (*.f64 #s(literal 841/108 binary64) x) (/.f64 #s(literal -1728/707281 binary64) x))
(* -1 (* x (- (* 1728/707281 (/ 1 (pow x 2))) 841/108)))
(+.f64 (*.f64 #s(literal 841/108 binary64) x) (/.f64 #s(literal -1728/707281 binary64) x))
(* -1 (* x (- (* 1728/707281 (/ 1 (pow x 2))) 841/108)))
(+.f64 (*.f64 #s(literal 841/108 binary64) x) (/.f64 #s(literal -1728/707281 binary64) x))
-16/841
#s(literal -16/841 binary64)
(- (* 707281/11664 (pow x 2)) 16/841)
(+.f64 (.f64 x (.f64 x #s(literal 707281/11664 binary64))) #s(literal -16/841 binary64))
(- (* 707281/11664 (pow x 2)) 16/841)
(+.f64 (.f64 x (.f64 x #s(literal 707281/11664 binary64))) #s(literal -16/841 binary64))
(- (* 707281/11664 (pow x 2)) 16/841)
(+.f64 (.f64 x (.f64 x #s(literal 707281/11664 binary64))) #s(literal -16/841 binary64))
(* 707281/11664 (pow x 2))
(.f64 x (.f64 x #s(literal 707281/11664 binary64)))
(* (pow x 2) (- 707281/11664 (* 16/841 (/ 1 (pow x 2)))))
(+.f64 (.f64 x (.f64 x #s(literal 707281/11664 binary64))) #s(literal -16/841 binary64))
(* (pow x 2) (- 707281/11664 (* 16/841 (/ 1 (pow x 2)))))
(+.f64 (.f64 x (.f64 x #s(literal 707281/11664 binary64))) #s(literal -16/841 binary64))
(* (pow x 2) (- 707281/11664 (* 16/841 (/ 1 (pow x 2)))))
(+.f64 (.f64 x (.f64 x #s(literal 707281/11664 binary64))) #s(literal -16/841 binary64))
(* 707281/11664 (pow x 2))
(.f64 x (.f64 x #s(literal 707281/11664 binary64)))
(* (pow x 2) (- 707281/11664 (* 16/841 (/ 1 (pow x 2)))))
(+.f64 (.f64 x (.f64 x #s(literal 707281/11664 binary64))) #s(literal -16/841 binary64))
(* (pow x 2) (- 707281/11664 (* 16/841 (/ 1 (pow x 2)))))
(+.f64 (.f64 x (.f64 x #s(literal 707281/11664 binary64))) #s(literal -16/841 binary64))
(* (pow x 2) (- 707281/11664 (* 16/841 (/ 1 (pow x 2)))))
(+.f64 (.f64 x (.f64 x #s(literal 707281/11664 binary64))) #s(literal -16/841 binary64))
(* 707281/11664 (pow x 2))
(.f64 x (.f64 x #s(literal 707281/11664 binary64)))
(* 707281/11664 (pow x 2))
(.f64 x (.f64 x #s(literal 707281/11664 binary64)))
(* 707281/11664 (pow x 2))
(.f64 x (.f64 x #s(literal 707281/11664 binary64)))
(* 707281/11664 (pow x 2))
(.f64 x (.f64 x #s(literal 707281/11664 binary64)))
(* 707281/11664 (pow x 2))
(.f64 x (.f64 x #s(literal 707281/11664 binary64)))
(* 707281/11664 (pow x 2))
(.f64 x (.f64 x #s(literal 707281/11664 binary64)))
(* 707281/11664 (pow x 2))
(.f64 x (.f64 x #s(literal 707281/11664 binary64)))
(* 707281/11664 (pow x 2))
(.f64 x (.f64 x #s(literal 707281/11664 binary64)))
(* 707281/11664 (pow x 2))
(.f64 x (.f64 x #s(literal 707281/11664 binary64)))
(* 707281/11664 (pow x 2))
(.f64 x (.f64 x #s(literal 707281/11664 binary64)))
(* 707281/11664 (pow x 2))
(.f64 x (.f64 x #s(literal 707281/11664 binary64)))
(* 707281/11664 (pow x 2))
(.f64 x (.f64 x #s(literal 707281/11664 binary64)))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
-4/29
#s(literal -4/29 binary64)
(- (* -841/108 x) 4/29)
(+.f64 (*.f64 x #s(literal -841/108 binary64)) #s(literal -4/29 binary64))
(- (* x (- (* -20511149/46656 x) 841/108)) 4/29)
(+.f64 (.f64 x (+.f64 (.f64 x #s(literal -20511149/46656 binary64)) #s(literal -841/108 binary64))) #s(literal -4/29 binary64))
(- (* x (- (* x (- (* -500246412961/20155392 x) 20511149/46656)) 841/108)) 4/29)
(+.f64 (.f64 x (+.f64 (.f64 x (+.f64 #s(literal -20511149/46656 binary64) (*.f64 x #s(literal -500246412961/20155392 binary64)))) #s(literal -841/108 binary64))) #s(literal -4/29 binary64))
(/ 1728/707281 x)
(/.f64 #s(literal 1728/707281 binary64) x)
(/ (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 1728/707281 binary64) (/.f64 #s(literal 746496/17249876309 binary64) x)) x)
(/ (+ 1728/707281 (+ (/ 322486272/420707233300201 (pow x 2)) (* 746496/17249876309 (/ 1 x)))) x)
(/.f64 (+.f64 #s(literal 1728/707281 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 746496/17249876309 binary64) (/.f64 #s(literal 322486272/420707233300201 binary64) x)))) x)
(/ (+ 1728/707281 (+ (/ 322486272/420707233300201 (pow x 2)) (+ (* 746496/17249876309 (/ 1 x)) (* 139314069504/10260628712958602189 (/ 1 (pow x 3)))))) x)
(/.f64 (+.f64 (/.f64 #s(literal 746496/17249876309 binary64) x) (+.f64 #s(literal 1728/707281 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 322486272/420707233300201 binary64) (/.f64 #s(literal 139314069504/10260628712958602189 binary64) x))))) x)
(/ 1728/707281 x)
(/.f64 #s(literal 1728/707281 binary64) x)
(/ (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 1728/707281 binary64) (/.f64 #s(literal 746496/17249876309 binary64) x)) x)
(* -1 (/ (- (* -1 (/ (+ 746496/17249876309 (* 322486272/420707233300201 (/ 1 x))) x)) 1728/707281) x))
(/.f64 (+.f64 #s(literal 1728/707281 binary64) (/.f64 (+.f64 #s(literal 746496/17249876309 binary64) (/.f64 #s(literal 322486272/420707233300201 binary64) x)) x)) x)
(* -1 (/ (- (* -1 (/ (+ 746496/17249876309 (+ (/ 139314069504/10260628712958602189 (pow x 2)) (* 322486272/420707233300201 (/ 1 x)))) x)) 1728/707281) x))
(/.f64 (+.f64 #s(literal 1728/707281 binary64) (/.f64 (+.f64 #s(literal 746496/17249876309 binary64) (/.f64 (+.f64 #s(literal 322486272/420707233300201 binary64) (/.f64 #s(literal 139314069504/10260628712958602189 binary64) x)) x)) x)) x)

eval210.0ms (3%)

Compiler: Compiled 31807 to 2776 computations (91.3% saved)

prune125.0ms (1.8%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	1162	2	1164
Fresh	0	2	2
Picked	4	1	5
Done	0	2	2
Total	1166	7	1173

Accuracy

100.0%

Counts

1173 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	72.4%	(/.f64 (+.f64 (.f64 #s(literal 707281/11664 binary64) (.f64 x x)) #s(literal -16/841 binary64)) (.f64 (+.f64 (.f64 x (.f64 x #s(literal 707281/11664 binary64))) #s(literal -16/841 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64)))))
▶	47.1%	(/.f64 (+.f64 #s(literal 64/24389 binary64) (.f64 x #s(literal 4/27 binary64))) (+.f64 (.f64 #s(literal 707281/11664 binary64) (*.f64 x x)) #s(literal 16/841 binary64)))
▶	54.8%	(/.f64 x (+.f64 #s(literal 108/841 binary64) (/.f64 #s(literal -46656/20511149 binary64) x)))
▶	54.7%	(/.f64 x #s(literal 108/841 binary64))
✓	99.9%	(+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))
✓	54.8%	(*.f64 #s(literal 841/108 binary64) x)
✓	45.9%	#s(literal 4/29 binary64)

Compiler

Compiled 62 to 47 computations (24.2% saved)

simplify202.0ms (2.9%)

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 #s(literal 707281/11664 binary64) (.f64 x x))
✓	cost-diff	0	(+.f64 (.f64 #s(literal 707281/11664 binary64) (.f64 x x)) #s(literal -16/841 binary64))
✓	cost-diff	128	(.f64 (+.f64 (.f64 x (.f64 x #s(literal 707281/11664 binary64))) #s(literal -16/841 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))))
✓	cost-diff	1152	(/.f64 (+.f64 (.f64 #s(literal 707281/11664 binary64) (.f64 x x)) #s(literal -16/841 binary64)) (.f64 (+.f64 (.f64 x (.f64 x #s(literal 707281/11664 binary64))) #s(literal -16/841 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64)))))
✓	cost-diff	0	(+.f64 (.f64 #s(literal 707281/11664 binary64) (.f64 x x)) #s(literal 16/841 binary64))
✓	cost-diff	0	(*.f64 x #s(literal 4/27 binary64))
✓	cost-diff	0	(+.f64 #s(literal 64/24389 binary64) (*.f64 x #s(literal 4/27 binary64)))
✓	cost-diff	0	(/.f64 (+.f64 #s(literal 64/24389 binary64) (.f64 x #s(literal 4/27 binary64))) (+.f64 (.f64 #s(literal 707281/11664 binary64) (*.f64 x x)) #s(literal 16/841 binary64)))
✓	cost-diff	0	(/.f64 #s(literal -46656/20511149 binary64) x)
✓	cost-diff	0	(+.f64 #s(literal 108/841 binary64) (/.f64 #s(literal -46656/20511149 binary64) x))
✓	cost-diff	0	(/.f64 x (+.f64 #s(literal 108/841 binary64) (/.f64 #s(literal -46656/20511149 binary64) x)))
✓	cost-diff	0	(/.f64 x #s(literal 108/841 binary64))

Rules

3968×	`+-lowering-+.f64`
3968×	`+-lowering-+.f32`
2102×	`-lowering-.f32`
2102×	`-lowering-.f64`
1204×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	30	154
1	56	125
2	80	121
3	146	121
4	326	121
5	1558	121
6	5595	121
0	8026	121

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ x 108/841)
x
108/841
(/ x (+ 108/841 (/ -46656/20511149 x)))
x
(+ 108/841 (/ -46656/20511149 x))
108/841
(/ -46656/20511149 x)
-46656/20511149
(/ (+ 64/24389 (* x 4/27)) (+ (* 707281/11664 (* x x)) 16/841))
(+ 64/24389 (* x 4/27))
64/24389
(* x 4/27)
x
4/27
(+ (* 707281/11664 (* x x)) 16/841)
(* 707281/11664 (* x x))
707281/11664
(* x x)
16/841
(/ (+ (* 707281/11664 (* x x)) -16/841) (* (+ (* x (* x 707281/11664)) -16/841) (/ 1 (+ (* 841/108 x) 4/29))))
(+ (* 707281/11664 (* x x)) -16/841)
(* 707281/11664 (* x x))
707281/11664
(* x x)
x
-16/841
(* (+ (* x (* x 707281/11664)) -16/841) (/ 1 (+ (* 841/108 x) 4/29)))
(+ (* x (* x 707281/11664)) -16/841)
(* x (* x 707281/11664))
(* x 707281/11664)
(/ 1 (+ (* 841/108 x) 4/29))
1
(+ (* 841/108 x) 4/29)
(* 841/108 x)
841/108
4/29

Outputs
(/ x 108/841)
(/.f64 x #s(literal 108/841 binary64))
x
108/841
#s(literal 108/841 binary64)
(/ x (+ 108/841 (/ -46656/20511149 x)))
(/.f64 x (+.f64 #s(literal 108/841 binary64) (/.f64 #s(literal -46656/20511149 binary64) x)))
x
(+ 108/841 (/ -46656/20511149 x))
(+.f64 #s(literal 108/841 binary64) (/.f64 #s(literal -46656/20511149 binary64) x))
108/841
#s(literal 108/841 binary64)
(/ -46656/20511149 x)
(/.f64 #s(literal -46656/20511149 binary64) x)
-46656/20511149
#s(literal -46656/20511149 binary64)
(/ (+ 64/24389 (* x 4/27)) (+ (* 707281/11664 (* x x)) 16/841))
(/.f64 (+.f64 #s(literal 64/24389 binary64) (.f64 x #s(literal 4/27 binary64))) (+.f64 (.f64 x (*.f64 x #s(literal 707281/11664 binary64))) #s(literal 16/841 binary64)))
(+ 64/24389 (* x 4/27))
(+.f64 #s(literal 64/24389 binary64) (*.f64 x #s(literal 4/27 binary64)))
64/24389
#s(literal 64/24389 binary64)
(* x 4/27)
(*.f64 x #s(literal 4/27 binary64))
x
4/27
#s(literal 4/27 binary64)
(+ (* 707281/11664 (* x x)) 16/841)
(+.f64 (.f64 x (.f64 x #s(literal 707281/11664 binary64))) #s(literal 16/841 binary64))
(* 707281/11664 (* x x))
(.f64 x (.f64 x #s(literal 707281/11664 binary64)))
707281/11664
#s(literal 707281/11664 binary64)
(* x x)
(*.f64 x x)
16/841
#s(literal 16/841 binary64)
(/ (+ (* 707281/11664 (* x x)) -16/841) (* (+ (* x (* x 707281/11664)) -16/841) (/ 1 (+ (* 841/108 x) 4/29))))
(+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal 4/29 binary64))
(+ (* 707281/11664 (* x x)) -16/841)
(+.f64 (.f64 x (.f64 x #s(literal 707281/11664 binary64))) #s(literal -16/841 binary64))
(* 707281/11664 (* x x))
(.f64 x (.f64 x #s(literal 707281/11664 binary64)))
707281/11664
#s(literal 707281/11664 binary64)
(* x x)
(*.f64 x x)
x
-16/841
#s(literal -16/841 binary64)
(* (+ (* x (* x 707281/11664)) -16/841) (/ 1 (+ (* 841/108 x) 4/29)))
(/.f64 (+.f64 (.f64 x (.f64 x #s(literal 707281/11664 binary64))) #s(literal -16/841 binary64)) (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal 4/29 binary64)))
(+ (* x (* x 707281/11664)) -16/841)
(+.f64 (.f64 x (.f64 x #s(literal 707281/11664 binary64))) #s(literal -16/841 binary64))
(* x (* x 707281/11664))
(.f64 x (.f64 x #s(literal 707281/11664 binary64)))
(* x 707281/11664)
(*.f64 x #s(literal 707281/11664 binary64))
(/ 1 (+ (* 841/108 x) 4/29))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal 4/29 binary64)))
1
#s(literal 1 binary64)
(+ (* 841/108 x) 4/29)
(+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal 4/29 binary64))
(* 841/108 x)
(/.f64 x #s(literal 108/841 binary64))
841/108
#s(literal 841/108 binary64)
4/29
#s(literal 4/29 binary64)

localize187.0ms (2.7%)

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.6%	(.f64 #s(literal 707281/11664 binary64) (.f64 x x))
✓	accuracy	99.5%	(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64)))
✓	accuracy	74.6%	(.f64 (+.f64 (.f64 x (.f64 x #s(literal 707281/11664 binary64))) #s(literal -16/841 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))))
✓	accuracy	74.3%	(/.f64 (+.f64 (.f64 #s(literal 707281/11664 binary64) (.f64 x x)) #s(literal -16/841 binary64)) (.f64 (+.f64 (.f64 x (.f64 x #s(literal 707281/11664 binary64))) #s(literal -16/841 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64)))))
✓	accuracy	100.0%	(+.f64 #s(literal 64/24389 binary64) (*.f64 x #s(literal 4/27 binary64)))
✓	accuracy	99.6%	(.f64 #s(literal 707281/11664 binary64) (.f64 x x))
✓	accuracy	99.5%	(*.f64 x #s(literal 4/27 binary64))
✓	accuracy	74.5%	(/.f64 (+.f64 #s(literal 64/24389 binary64) (.f64 x #s(literal 4/27 binary64))) (+.f64 (.f64 #s(literal 707281/11664 binary64) (*.f64 x x)) #s(literal 16/841 binary64)))
✓	accuracy	100.0%	(+.f64 #s(literal 108/841 binary64) (/.f64 #s(literal -46656/20511149 binary64) x))
✓	accuracy	99.7%	(/.f64 x (+.f64 #s(literal 108/841 binary64) (/.f64 #s(literal -46656/20511149 binary64) x)))
✓	accuracy	99.1%	(/.f64 #s(literal -46656/20511149 binary64) x)
✓	accuracy	99.6%	(/.f64 x #s(literal 108/841 binary64))

Results

106.0ms	255×	0	valid
5.0ms	1×	5	exit

Compiler

Compiled 155 to 31 computations (80% saved)

Precisions

Click to see histograms. Total time spent on operations: 75.0ms

...c/correct-round.rkt:119:19: 32.0ms (42.5% of total)

ival-mult: 23.0ms (30.5% of total)

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

ival-add: 8.0ms (10.6% of total)

const: 0.0ms (0% of total)

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

series4.0ms (0.1%)

Counts

13 → 156

Calls

Call 1

Inputs
#<alt (/ x 108/841)>
#<alt (/ x (+ 108/841 (/ -46656/20511149 x)))>
#<alt (+ 108/841 (/ -46656/20511149 x))>
#<alt (/ -46656/20511149 x)>
#<alt (/ (+ 64/24389 (* x 4/27)) (+ (* 707281/11664 (* x x)) 16/841))>
#<alt (+ 64/24389 (* x 4/27))>
#<alt (* x 4/27)>
#<alt (+ (* 707281/11664 (* x x)) 16/841)>
#<alt (/ (+ (* 707281/11664 (* x x)) -16/841) (* (+ (* x (* x 707281/11664)) -16/841) (/ 1 (+ (* 841/108 x) 4/29))))>
#<alt (* (+ (* x (* x 707281/11664)) -16/841) (/ 1 (+ (* 841/108 x) 4/29)))>
#<alt (+ (* 707281/11664 (* x x)) -16/841)>
#<alt (* 707281/11664 (* x x))>
#<alt (/ 1 (+ (* 841/108 x) 4/29))>

Outputs
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* -20511149/46656 (pow x 2))>
#<alt (* (pow x 2) (- (* -500246412961/20155392 x) 20511149/46656))>
#<alt (* (pow x 2) (- (* x (- (* -12200509765705829/8707129344 x) 500246412961/20155392)) 20511149/46656))>
#<alt (* (pow x 2) (- (* x (- (* x (- (* -297558232675799463481/3761479876608 x) 12200509765705829/8707129344)) 500246412961/20155392)) 20511149/46656))>
#<alt (* 841/108 x)>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (+ (/ 1728/707281 (pow x 2)) (* 4/29 (/ 1 x)))))>
#<alt (* x (+ 841/108 (+ (/ 1728/707281 (pow x 2)) (+ (* 4/29 (/ 1 x)) (* 746496/17249876309 (/ 1 (pow x 3)))))))>
#<alt (* 841/108 x)>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* -1 (* x (- (* -1 (/ (+ 4/29 (* 1728/707281 (/ 1 x))) x)) 841/108)))>
#<alt (* -1 (* x (- (* -1 (/ (+ 4/29 (+ (/ 746496/17249876309 (pow x 2)) (* 1728/707281 (/ 1 x)))) x)) 841/108)))>
#<alt (/ -46656/20511149 x)>
#<alt (/ (- (* 108/841 x) 46656/20511149) x)>
#<alt (/ (- (* 108/841 x) 46656/20511149) x)>
#<alt (/ (- (* 108/841 x) 46656/20511149) x)>
#<alt 108/841>
#<alt (- 108/841 (* 46656/20511149 (/ 1 x)))>
#<alt (- 108/841 (* 46656/20511149 (/ 1 x)))>
#<alt (- 108/841 (* 46656/20511149 (/ 1 x)))>
#<alt 108/841>
#<alt (- 108/841 (* 46656/20511149 (/ 1 x)))>
#<alt (- 108/841 (* 46656/20511149 (/ 1 x)))>
#<alt (- 108/841 (* 46656/20511149 (/ 1 x)))>
#<alt (/ -46656/20511149 x)>
#<alt (/ -46656/20511149 x)>
#<alt (/ -46656/20511149 x)>
#<alt (/ -46656/20511149 x)>
#<alt (/ -46656/20511149 x)>
#<alt (/ -46656/20511149 x)>
#<alt (/ -46656/20511149 x)>
#<alt (/ -46656/20511149 x)>
#<alt (/ -46656/20511149 x)>
#<alt (/ -46656/20511149 x)>
#<alt (/ -46656/20511149 x)>
#<alt (/ -46656/20511149 x)>
#<alt 4/29>
#<alt (+ 4/29 (* 841/108 x))>
#<alt (+ 4/29 (* x (+ 841/108 (* -20511149/46656 x))))>
#<alt (+ 4/29 (* x (+ 841/108 (* x (- (* -500246412961/20155392 x) 20511149/46656)))))>
#<alt (/ 1728/707281 x)>
#<alt (/ (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) x)>
#<alt (/ (- (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) (/ 322486272/420707233300201 (pow x 2))) x)>
#<alt (/ (+ 1728/707281 (+ (* -1 (/ (+ 322486272/420707233300201 (* 139314069504/10260628712958602189 (/ 1 x))) (pow x 2))) (* 746496/17249876309 (/ 1 x)))) x)>
#<alt (/ 1728/707281 x)>
#<alt (/ (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) x)>
#<alt (* -1 (/ (- (* -1 (/ (- 746496/17249876309 (* 322486272/420707233300201 (/ 1 x))) x)) 1728/707281) x))>
#<alt (* -1 (/ (- (* -1 (/ (+ 746496/17249876309 (* -1 (/ (+ 322486272/420707233300201 (* 139314069504/10260628712958602189 (/ 1 x))) x))) x)) 1728/707281) x))>
#<alt 64/24389>
#<alt (+ 64/24389 (* 4/27 x))>
#<alt (+ 64/24389 (* 4/27 x))>
#<alt (+ 64/24389 (* 4/27 x))>
#<alt (* 4/27 x)>
#<alt (* x (+ 4/27 (* 64/24389 (/ 1 x))))>
#<alt (* x (+ 4/27 (* 64/24389 (/ 1 x))))>
#<alt (* x (+ 4/27 (* 64/24389 (/ 1 x))))>
#<alt (* 4/27 x)>
#<alt (* x (+ 4/27 (* 64/24389 (/ 1 x))))>
#<alt (* x (+ 4/27 (* 64/24389 (/ 1 x))))>
#<alt (* x (+ 4/27 (* 64/24389 (/ 1 x))))>
#<alt (* 4/27 x)>
#<alt (* 4/27 x)>
#<alt (* 4/27 x)>
#<alt (* 4/27 x)>
#<alt (* 4/27 x)>
#<alt (* 4/27 x)>
#<alt (* 4/27 x)>
#<alt (* 4/27 x)>
#<alt (* 4/27 x)>
#<alt (* 4/27 x)>
#<alt (* 4/27 x)>
#<alt (* 4/27 x)>
#<alt 16/841>
#<alt (+ 16/841 (* 707281/11664 (pow x 2)))>
#<alt (+ 16/841 (* 707281/11664 (pow x 2)))>
#<alt (+ 16/841 (* 707281/11664 (pow x 2)))>
#<alt (* 707281/11664 (pow x 2))>
#<alt (* (pow x 2) (+ 707281/11664 (* 16/841 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 707281/11664 (* 16/841 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 707281/11664 (* 16/841 (/ 1 (pow x 2)))))>
#<alt (* 707281/11664 (pow x 2))>
#<alt (* (pow x 2) (+ 707281/11664 (* 16/841 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 707281/11664 (* 16/841 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 707281/11664 (* 16/841 (/ 1 (pow x 2)))))>
#<alt 4/29>
#<alt (+ 4/29 (* 841/108 x))>
#<alt (+ 4/29 (* 841/108 x))>
#<alt (+ 4/29 (* 841/108 x))>
#<alt (* 841/108 x)>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* 841/108 x)>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt -4/29>
#<alt (- (* 841/108 x) 4/29)>
#<alt (- (* 841/108 x) 4/29)>
#<alt (- (* 841/108 x) 4/29)>
#<alt (* 841/108 x)>
#<alt (* x (- 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (- 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (- 841/108 (* 4/29 (/ 1 x))))>
#<alt (* 841/108 x)>
#<alt (* -1 (* x (- (* 4/29 (/ 1 x)) 841/108)))>
#<alt (* -1 (* x (- (* 4/29 (/ 1 x)) 841/108)))>
#<alt (* -1 (* x (- (* 4/29 (/ 1 x)) 841/108)))>
#<alt -16/841>
#<alt (- (* 707281/11664 (pow x 2)) 16/841)>
#<alt (- (* 707281/11664 (pow x 2)) 16/841)>
#<alt (- (* 707281/11664 (pow x 2)) 16/841)>
#<alt (* 707281/11664 (pow x 2))>
#<alt (* (pow x 2) (- 707281/11664 (* 16/841 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 707281/11664 (* 16/841 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 707281/11664 (* 16/841 (/ 1 (pow x 2)))))>
#<alt (* 707281/11664 (pow x 2))>
#<alt (* (pow x 2) (- 707281/11664 (* 16/841 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 707281/11664 (* 16/841 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 707281/11664 (* 16/841 (/ 1 (pow x 2)))))>
#<alt (* 707281/11664 (pow x 2))>
#<alt (* 707281/11664 (pow x 2))>
#<alt (* 707281/11664 (pow x 2))>
#<alt (* 707281/11664 (pow x 2))>
#<alt (* 707281/11664 (pow x 2))>
#<alt (* 707281/11664 (pow x 2))>
#<alt (* 707281/11664 (pow x 2))>
#<alt (* 707281/11664 (pow x 2))>
#<alt (* 707281/11664 (pow x 2))>
#<alt (* 707281/11664 (pow x 2))>
#<alt (* 707281/11664 (pow x 2))>
#<alt (* 707281/11664 (pow x 2))>
#<alt 29/4>
#<alt (+ 29/4 (* -707281/1728 x))>
#<alt (+ 29/4 (* x (- (* 17249876309/746496 x) 707281/1728)))>
#<alt (+ 29/4 (* x (- (* x (+ 17249876309/746496 (* -420707233300201/322486272 x))) 707281/1728)))>
#<alt (/ 108/841 x)>
#<alt (/ (- 108/841 (* 46656/20511149 (/ 1 x))) x)>
#<alt (/ (- (+ 108/841 (/ 20155392/500246412961 (pow x 2))) (* 46656/20511149 (/ 1 x))) x)>
#<alt (/ (- (+ 108/841 (/ 20155392/500246412961 (pow x 2))) (+ (* 46656/20511149 (/ 1 x)) (* 8707129344/12200509765705829 (/ 1 (pow x 3))))) x)>
#<alt (/ 108/841 x)>
#<alt (* -1 (/ (- (* 46656/20511149 (/ 1 x)) 108/841) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 20155392/500246412961 (/ 1 x)) 46656/20511149) x)) 108/841) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 8707129344/12200509765705829 (/ 1 x)) 20155392/500246412961) x)) 46656/20511149) x)) 108/841) x))>

Calls

39 calls:

Time	Variable		Point	Expression
0.0ms	x	@	-inf	(* x 4/27)
0.0ms	x	@	inf	(* x 4/27)
0.0ms	x	@	-inf	(* (+ (* x (* x 707281/11664)) -16/841) (/ 1 (+ (* 841/108 x) 4/29)))
0.0ms	x	@	0	(* (+ (* x (* x 707281/11664)) -16/841) (/ 1 (+ (* 841/108 x) 4/29)))
0.0ms	x	@	0	(/ (+ 64/24389 (* x 4/27)) (+ (* 707281/11664 (* x x)) 16/841))

rewrite619.0ms (8.8%)

Algorithm

1×	batch-egg-rewrite

Rules

4284×	`/-lowering-/.f32`
4284×	`/-lowering-/.f64`
3478×	`-lowering-.f32`
3478×	`-lowering-.f64`
1576×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	30	89
1	181	66
2	1271	66
0	8319	66

Stop Event

1×	iter limit
1×	node limit

Counts

13 → 647

Calls

Call 1

Inputs
(/ x 108/841)
(/ x (+ 108/841 (/ -46656/20511149 x)))
(+ 108/841 (/ -46656/20511149 x))
(/ -46656/20511149 x)
(/ (+ 64/24389 (* x 4/27)) (+ (* 707281/11664 (* x x)) 16/841))
(+ 64/24389 (* x 4/27))
(* x 4/27)
(+ (* 707281/11664 (* x x)) 16/841)
(/ (+ (* 707281/11664 (* x x)) -16/841) (* (+ (* x (* x 707281/11664)) -16/841) (/ 1 (+ (* 841/108 x) 4/29))))
(* (+ (* x (* x 707281/11664)) -16/841) (/ 1 (+ (* 841/108 x) 4/29)))
(+ (* 707281/11664 (* x x)) -16/841)
(* 707281/11664 (* x x))
(/ 1 (+ (* 841/108 x) 4/29))

Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 108/841 binary64) x)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 x #s(literal -108/841 binary64)))
(neg.f64 (/.f64 x #s(literal -108/841 binary64)))
(/.f64 x #s(literal 108/841 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 108/841 binary64) x))
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 108/841 binary64) x))))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 108/841 binary64) x)))
(/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -108/841 binary64))
(pow.f64 (/.f64 #s(literal 108/841 binary64) x) #s(literal -1 binary64))
(*.f64 x #s(literal 841/108 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 x #s(literal 108/841 binary64)))
(*.f64 #s(literal 841/108 binary64) x)
(*.f64 #s(literal 841/108 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 x #s(literal -108/841 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 108/841 binary64) x))))
(*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -841/108 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 108/841 binary64) (/.f64 #s(literal -46656/20511149 binary64) x)) x)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 x (+.f64 #s(literal -108/841 binary64) (/.f64 #s(literal 46656/20511149 binary64) x))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal -108/841 binary64) (/.f64 #s(literal 46656/20511149 binary64) x))) (/.f64 x (+.f64 #s(literal -108/841 binary64) (/.f64 #s(literal 46656/20511149 binary64) x))))
(neg.f64 (/.f64 x (+.f64 #s(literal -108/841 binary64) (/.f64 #s(literal 46656/20511149 binary64) x))))
(/.f64 x (+.f64 #s(literal 108/841 binary64) (/.f64 #s(literal -46656/20511149 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 108/841 binary64) (/.f64 #s(literal -46656/20511149 binary64) x)) x))
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 108/841 binary64) (/.f64 #s(literal -46656/20511149 binary64) x)) x))))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 108/841 binary64) (/.f64 #s(literal -46656/20511149 binary64) x)) x)))
(/.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 #s(literal -108/841 binary64) (/.f64 #s(literal 46656/20511149 binary64) x)))
(pow.f64 (/.f64 (+.f64 #s(literal 108/841 binary64) (/.f64 #s(literal -46656/20511149 binary64) x)) x) #s(literal -1 binary64))
(*.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 108/841 binary64) (/.f64 #s(literal -46656/20511149 binary64) x))))
(*.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal 108/841 binary64) (/.f64 #s(literal -46656/20511149 binary64) x))))
(*.f64 #s(literal -1 binary64) (/.f64 x (+.f64 #s(literal -108/841 binary64) (/.f64 #s(literal 46656/20511149 binary64) x))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 108/841 binary64) (/.f64 #s(literal -46656/20511149 binary64) x)) x))))
(*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -108/841 binary64) (/.f64 #s(literal 46656/20511149 binary64) x))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 108/841 binary64) (/.f64 #s(literal -46656/20511149 binary64) x))) x)
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 108/841 binary64) (/.f64 #s(literal -46656/20511149 binary64) x))) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(.f64 (/.f64 x (+.f64 #s(literal 1259712/594823321 binary64) (/.f64 #s(literal -101559956668416/8629188747598184440949 binary64) (.f64 x (*.f64 x x))))) (+.f64 #s(literal 11664/707281 binary64) (/.f64 (+.f64 (/.f64 #s(literal -46656/20511149 binary64) x) #s(literal -108/841 binary64)) (/.f64 x #s(literal -46656/20511149 binary64)))))
(.f64 (/.f64 x (+.f64 #s(literal 1259712/594823321 binary64) (/.f64 #s(literal -101559956668416/8629188747598184440949 binary64) (.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 11664/707281 binary64) (/.f64 (+.f64 (/.f64 #s(literal -46656/20511149 binary64) x) #s(literal -108/841 binary64)) (/.f64 x #s(literal -46656/20511149 binary64)))))))
(.f64 (/.f64 x (-.f64 #s(literal 11664/707281 binary64) (/.f64 #s(literal 2176782336/420707233300201 binary64) (.f64 x x)))) (+.f64 #s(literal 108/841 binary64) (/.f64 #s(literal 46656/20511149 binary64) x)))
(.f64 (/.f64 x (-.f64 #s(literal 11664/707281 binary64) (/.f64 #s(literal 2176782336/420707233300201 binary64) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 108/841 binary64) (/.f64 #s(literal 46656/20511149 binary64) x)))))
(+.f64 #s(literal 108/841 binary64) (/.f64 #s(literal -46656/20511149 binary64) x))
(+.f64 (/.f64 #s(literal -46656/20511149 binary64) x) #s(literal 108/841 binary64))
(+.f64 (/.f64 #s(literal 11664/707281 binary64) (+.f64 #s(literal 108/841 binary64) (/.f64 #s(literal 46656/20511149 binary64) x))) (neg.f64 (/.f64 (/.f64 #s(literal 2176782336/420707233300201 binary64) (*.f64 x x)) (+.f64 #s(literal 108/841 binary64) (/.f64 #s(literal 46656/20511149 binary64) x)))))
(-.f64 #s(literal 108/841 binary64) (/.f64 #s(literal 46656/20511149 binary64) x))
(-.f64 #s(literal 0 binary64) (+.f64 #s(literal -108/841 binary64) (/.f64 #s(literal 46656/20511149 binary64) x)))
(-.f64 (/.f64 #s(literal 11664/707281 binary64) (+.f64 #s(literal 108/841 binary64) (/.f64 #s(literal 46656/20511149 binary64) x))) (/.f64 (/.f64 #s(literal 2176782336/420707233300201 binary64) (*.f64 x x)) (+.f64 #s(literal 108/841 binary64) (/.f64 #s(literal 46656/20511149 binary64) x))))
(-.f64 (/.f64 (/.f64 #s(literal 11664/707281 binary64) (+.f64 #s(literal 108/841 binary64) (/.f64 #s(literal 46656/20511149 binary64) x))) #s(literal 1 binary64)) (/.f64 (/.f64 (/.f64 #s(literal 2176782336/420707233300201 binary64) (*.f64 x x)) (+.f64 #s(literal 108/841 binary64) (/.f64 #s(literal 46656/20511149 binary64) x))) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 #s(literal 2176782336/420707233300201 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal -46656/20511149 binary64) x) #s(literal -108/841 binary64))) (/.f64 #s(literal 11664/707281 binary64) (+.f64 (/.f64 #s(literal -46656/20511149 binary64) x) #s(literal -108/841 binary64))))
(fma.f64 #s(literal -46656/20511149 binary64) (/.f64 #s(literal 1 binary64) x) #s(literal 108/841 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -46656/20511149 binary64) x) #s(literal 108/841 binary64))
(fma.f64 #s(literal 46656/20511149 binary64) (/.f64 #s(literal -1 binary64) x) #s(literal 108/841 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -46656/20511149 binary64) #s(literal 108/841 binary64))
(neg.f64 (+.f64 #s(literal -108/841 binary64) (/.f64 #s(literal 46656/20511149 binary64) x)))
(/.f64 (+.f64 #s(literal 108/841 binary64) (/.f64 #s(literal -46656/20511149 binary64) x)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 108/841 binary64) (/.f64 #s(literal -46656/20511149 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 108/841 binary64) (/.f64 #s(literal -46656/20511149 binary64) x))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 2176782336/420707233300201 binary64) (.f64 x x)) (-.f64 #s(literal 11664/707281 binary64) (/.f64 #s(literal -5038848/17249876309 binary64) x))) (+.f64 #s(literal 1259712/594823321 binary64) (/.f64 #s(literal -101559956668416/8629188747598184440949 binary64) (.f64 x (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal -46656/20511149 binary64) x) #s(literal -108/841 binary64)) (+.f64 (/.f64 #s(literal 2176782336/420707233300201 binary64) (*.f64 x x)) #s(literal -11664/707281 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 108/841 binary64) (/.f64 #s(literal -46656/20511149 binary64) x)))))
(/.f64 (+.f64 #s(literal -108/841 binary64) (/.f64 #s(literal 46656/20511149 binary64) x)) #s(literal -1 binary64))
(/.f64 (+.f64 #s(literal 1259712/594823321 binary64) (/.f64 #s(literal -101559956668416/8629188747598184440949 binary64) (.f64 x (.f64 x x)))) (+.f64 #s(literal 11664/707281 binary64) (/.f64 (+.f64 (/.f64 #s(literal -46656/20511149 binary64) x) #s(literal -108/841 binary64)) (/.f64 x #s(literal -46656/20511149 binary64)))))
(/.f64 (+.f64 #s(literal 1259712/594823321 binary64) (/.f64 #s(literal -101559956668416/8629188747598184440949 binary64) (.f64 x (.f64 x x)))) (+.f64 (/.f64 #s(literal 2176782336/420707233300201 binary64) (*.f64 x x)) (-.f64 #s(literal 11664/707281 binary64) (/.f64 #s(literal -5038848/17249876309 binary64) x))))
(/.f64 (-.f64 #s(literal 11664/707281 binary64) (/.f64 #s(literal 2176782336/420707233300201 binary64) (*.f64 x x))) (+.f64 #s(literal 108/841 binary64) (/.f64 #s(literal 46656/20511149 binary64) x)))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1259712/594823321 binary64) (/.f64 #s(literal -101559956668416/8629188747598184440949 binary64) (.f64 x (.f64 x x))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 11664/707281 binary64) (/.f64 (+.f64 (/.f64 #s(literal -46656/20511149 binary64) x) #s(literal -108/841 binary64)) (/.f64 x #s(literal -46656/20511149 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1259712/594823321 binary64) (/.f64 #s(literal -101559956668416/8629188747598184440949 binary64) (.f64 x (.f64 x x))))) (neg.f64 (+.f64 (/.f64 #s(literal 2176782336/420707233300201 binary64) (*.f64 x x)) (-.f64 #s(literal 11664/707281 binary64) (/.f64 #s(literal -5038848/17249876309 binary64) x)))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 11664/707281 binary64) (/.f64 #s(literal 2176782336/420707233300201 binary64) (*.f64 x x)))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 108/841 binary64) (/.f64 #s(literal 46656/20511149 binary64) x))))
(/.f64 (+.f64 (/.f64 #s(literal 2176782336/420707233300201 binary64) (*.f64 x x)) #s(literal -11664/707281 binary64)) (+.f64 (/.f64 #s(literal -46656/20511149 binary64) x) #s(literal -108/841 binary64)))
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(/.f64 (-.f64 #s(literal 16/841 binary64) (/.f64 (.f64 x x) #s(literal 11664/707281 binary64))) (neg.f64 (.f64 (+.f64 (/.f64 (*.f64 x x) #s(literal 11664/707281 binary64)) #s(literal -16/841 binary64)) (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal 4/29 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal -4/29 binary64))) (-.f64 #s(literal 16/841 binary64) (/.f64 (*.f64 x x) #s(literal 11664/707281 binary64))))
(/.f64 (+.f64 (/.f64 (.f64 x x) #s(literal 11664/707281 binary64)) (-.f64 #s(literal 16/841 binary64) (.f64 x #s(literal 29/27 binary64)))) (+.f64 #s(literal 64/24389 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 1259712/594823321 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 (.f64 x x) #s(literal 11664/707281 binary64)) (-.f64 #s(literal 16/841 binary64) (.f64 x #s(literal 29/27 binary64))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 64/24389 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 1259712/594823321 binary64)))))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 x x) #s(literal 11664/707281 binary64)) #s(literal -16/841 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal -4/29 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -4/29 binary64) (/.f64 x #s(literal 108/841 binary64)))) #s(literal -1 binary64))
(/.f64 (/.f64 (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal -4/29 binary64)) (+.f64 (.f64 #s(literal 500246412961/136048896 binary64) (.f64 (.f64 x x) (.f64 x x))) #s(literal -256/707281 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 x x) #s(literal 11664/707281 binary64)) #s(literal 16/841 binary64))))
(pow.f64 (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal 4/29 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal 4/29 binary64))) #s(literal 1 binary64))
(pow.f64 (pow.f64 (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal 4/29 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal 4/29 binary64)) (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal 4/29 binary64))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal 4/29 binary64)))) #s(literal -1 binary64))
(.f64 (+.f64 (/.f64 (.f64 x x) #s(literal 11664/707281 binary64)) #s(literal 16/841 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 x x) #s(literal 11664/707281 binary64)) #s(literal 16/841 binary64))) (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal 4/29 binary64))))
(.f64 (+.f64 (/.f64 (.f64 x x) #s(literal 11664/707281 binary64)) #s(literal -16/841 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal 4/29 binary64))) (+.f64 (/.f64 (*.f64 x x) #s(literal 11664/707281 binary64)) #s(literal -16/841 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal 4/29 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal 4/29 binary64))) #s(literal 1 binary64))
(.f64 (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal -4/29 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 x x) #s(literal 11664/707281 binary64)) #s(literal -16/841 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -4/29 binary64) (/.f64 x #s(literal 108/841 binary64)))))
(.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal -4/29 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16/841 binary64) (/.f64 (.f64 x x) #s(literal 11664/707281 binary64)))))
(.f64 (+.f64 (/.f64 (.f64 x x) #s(literal 11664/707281 binary64)) (-.f64 #s(literal 16/841 binary64) (.f64 x #s(literal 29/27 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 64/24389 binary64) (/.f64 (.f64 x (*.f64 x x)) #s(literal 1259712/594823321 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 x x) #s(literal 11664/707281 binary64)) #s(literal 16/841 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal 4/29 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 x x) #s(literal 11664/707281 binary64)) #s(literal 16/841 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 x x) #s(literal 11664/707281 binary64)) #s(literal -16/841 binary64))) (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal -4/29 binary64)))
(*.f64 (pow.f64 (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal 4/29 binary64)) #s(literal -1/2 binary64)) (pow.f64 (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal 4/29 binary64)) #s(literal -1/2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 500246412961/136048896 binary64) (.f64 (.f64 x x) (.f64 x x))) #s(literal -256/707281 binary64))) (.f64 (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal -4/29 binary64)) (+.f64 (/.f64 (*.f64 x x) #s(literal 11664/707281 binary64)) #s(literal 16/841 binary64))))
(.f64 (/.f64 (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal -4/29 binary64)) (+.f64 #s(literal -4096/594823321 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 353814783205469041/1586874322944 binary64))))) (+.f64 (.f64 #s(literal 500246412961/136048896 binary64) (.f64 (.f64 x x) (.f64 x x))) (-.f64 #s(literal 256/707281 binary64) (.f64 (*.f64 x x) #s(literal -841/729 binary64)))))
(.f64 (/.f64 (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal -4/29 binary64)) (+.f64 (.f64 #s(literal 500246412961/136048896 binary64) (.f64 (.f64 x x) (.f64 x x))) #s(literal -256/707281 binary64))) (+.f64 (/.f64 (.f64 x x) #s(literal 11664/707281 binary64)) #s(literal 16/841 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 64/24389 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 1259712/594823321 binary64)))) (+.f64 (/.f64 (.f64 x x) #s(literal 11664/707281 binary64)) (-.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal 29/27 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 64/24389 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 1259712/594823321 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 x x) #s(literal 11664/707281 binary64)) (-.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal 29/27 binary64))))) #s(literal -1 binary64)))
(.f64 (/.f64 (+.f64 (/.f64 (.f64 x x) #s(literal 11664/707281 binary64)) #s(literal -16/841 binary64)) (+.f64 #s(literal -4096/594823321 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 353814783205469041/1586874322944 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal 4/29 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 500246412961/136048896 binary64) (.f64 (.f64 x x) (.f64 x x))) (-.f64 #s(literal 256/707281 binary64) (.f64 (.f64 x x) #s(literal -841/729 binary64)))))))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal 4/29 binary64))) (+.f64 (/.f64 (.f64 x x) #s(literal 11664/707281 binary64)) #s(literal -16/841 binary64))) (/.f64 (+.f64 (/.f64 (*.f64 x x) #s(literal 11664/707281 binary64)) #s(literal -16/841 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (-.f64 #s(literal 16/841 binary64) (/.f64 (.f64 x x) #s(literal 11664/707281 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal -4/29 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 (+.f64 (/.f64 (.f64 x x) #s(literal 11664/707281 binary64)) #s(literal -16/841 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal 4/29 binary64))) (+.f64 (/.f64 (*.f64 x x) #s(literal 11664/707281 binary64)) #s(literal -16/841 binary64))))
(.f64 (/.f64 (+.f64 #s(literal -4096/594823321 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 353814783205469041/1586874322944 binary64)))) (+.f64 (/.f64 (.f64 x x) #s(literal 11664/707281 binary64)) #s(literal -16/841 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 500246412961/136048896 binary64) (.f64 (.f64 x x) (.f64 x x))) (-.f64 #s(literal 256/707281 binary64) (.f64 (.f64 x x) #s(literal -841/729 binary64))))) (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal 4/29 binary64))))
(.f64 (/.f64 (+.f64 (/.f64 (.f64 x x) #s(literal 11664/707281 binary64)) #s(literal -16/841 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -4/29 binary64) (/.f64 x #s(literal 108/841 binary64)))) (+.f64 (/.f64 (*.f64 x x) #s(literal 11664/707281 binary64)) #s(literal -16/841 binary64))))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal 4/29 binary64))) (+.f64 (.f64 #s(literal 500246412961/136048896 binary64) (.f64 (.f64 x x) (.f64 x x))) #s(literal -256/707281 binary64))) (.f64 (+.f64 (/.f64 (.f64 x x) #s(literal 11664/707281 binary64)) #s(literal -16/841 binary64)) (+.f64 (/.f64 (.f64 x x) #s(literal 11664/707281 binary64)) #s(literal 16/841 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -4096/594823321 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 353814783205469041/1586874322944 binary64))))) (/.f64 (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal -4/29 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 500246412961/136048896 binary64) (.f64 (.f64 x x) (.f64 x x))) (-.f64 #s(literal 256/707281 binary64) (.f64 (*.f64 x x) #s(literal -841/729 binary64)))))))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal 4/29 binary64))) (+.f64 #s(literal -4096/594823321 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 353814783205469041/1586874322944 binary64))))) (/.f64 (+.f64 (/.f64 (.f64 x x) #s(literal 11664/707281 binary64)) #s(literal -16/841 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 500246412961/136048896 binary64) (.f64 (.f64 x x) (.f64 x x))) (-.f64 #s(literal 256/707281 binary64) (.f64 (.f64 x x) #s(literal -841/729 binary64)))))))
(.f64 (/.f64 (/.f64 (+.f64 (/.f64 (.f64 x x) #s(literal 11664/707281 binary64)) #s(literal -16/841 binary64)) (+.f64 #s(literal 64/24389 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 1259712/594823321 binary64)))) (+.f64 (/.f64 (.f64 x x) #s(literal 11664/707281 binary64)) #s(literal -16/841 binary64))) (/.f64 (+.f64 (/.f64 (.f64 x x) #s(literal 11664/707281 binary64)) (-.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal 29/27 binary64)))) #s(literal 1 binary64)))
(.f64 (/.f64 (/.f64 (+.f64 (/.f64 (.f64 x x) #s(literal 11664/707281 binary64)) #s(literal -16/841 binary64)) (+.f64 #s(literal 64/24389 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 1259712/594823321 binary64)))) #s(literal 1 binary64)) (/.f64 (+.f64 (/.f64 (.f64 x x) #s(literal 11664/707281 binary64)) (-.f64 #s(literal 16/841 binary64) (.f64 x #s(literal 29/27 binary64)))) (+.f64 (/.f64 (*.f64 x x) #s(literal 11664/707281 binary64)) #s(literal -16/841 binary64))))
(.f64 (/.f64 (/.f64 (+.f64 (/.f64 (.f64 x x) #s(literal 11664/707281 binary64)) #s(literal -16/841 binary64)) (+.f64 #s(literal 64/24389 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 1259712/594823321 binary64)))) (+.f64 #s(literal -4096/594823321 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 353814783205469041/1586874322944 binary64))))) (/.f64 (+.f64 (/.f64 (.f64 x x) #s(literal 11664/707281 binary64)) (-.f64 #s(literal 16/841 binary64) (.f64 x #s(literal 29/27 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 500246412961/136048896 binary64) (.f64 (.f64 x x) (.f64 x x))) (-.f64 #s(literal 256/707281 binary64) (.f64 (.f64 x x) #s(literal -841/729 binary64)))))))
(.f64 (/.f64 (/.f64 (+.f64 (/.f64 (.f64 x x) #s(literal 11664/707281 binary64)) #s(literal -16/841 binary64)) (+.f64 #s(literal 64/24389 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 1259712/594823321 binary64)))) (+.f64 (.f64 #s(literal 500246412961/136048896 binary64) (.f64 (.f64 x x) (.f64 x x))) #s(literal -256/707281 binary64))) (/.f64 (+.f64 (/.f64 (.f64 x x) #s(literal 11664/707281 binary64)) (-.f64 #s(literal 16/841 binary64) (.f64 x #s(literal 29/27 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 x x) #s(literal 11664/707281 binary64)) #s(literal 16/841 binary64)))))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal 4/29 binary64))) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 16/841 binary64) (/.f64 (.f64 x x) #s(literal 11664/707281 binary64))) (+.f64 (/.f64 (*.f64 x x) #s(literal 11664/707281 binary64)) #s(literal -16/841 binary64))))
(.f64 (/.f64 (-.f64 #s(literal 16/841 binary64) (/.f64 (.f64 x x) #s(literal 11664/707281 binary64))) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal 4/29 binary64))) (+.f64 (/.f64 (*.f64 x x) #s(literal 11664/707281 binary64)) #s(literal -16/841 binary64))))

simplify206.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

2442×	`-lowering-.f32`
2442×	`-lowering-.f64`
1856×	`fma-lowering-fma.f32`
1856×	`fma-lowering-fma.f64`
1826×	`fma-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	188	874
1	554	830
2	1344	774
3	3235	761
0	8024	761

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 156

Calls

Call 1

Inputs
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* -20511149/46656 (pow x 2))
(* (pow x 2) (- (* -500246412961/20155392 x) 20511149/46656))
(* (pow x 2) (- (* x (- (* -12200509765705829/8707129344 x) 500246412961/20155392)) 20511149/46656))
(* (pow x 2) (- (* x (- (* x (- (* -297558232675799463481/3761479876608 x) 12200509765705829/8707129344)) 500246412961/20155392)) 20511149/46656))
(* 841/108 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (+ (/ 1728/707281 (pow x 2)) (* 4/29 (/ 1 x)))))
(* x (+ 841/108 (+ (/ 1728/707281 (pow x 2)) (+ (* 4/29 (/ 1 x)) (* 746496/17249876309 (/ 1 (pow x 3)))))))
(* 841/108 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* -1 (* x (- (* -1 (/ (+ 4/29 (* 1728/707281 (/ 1 x))) x)) 841/108)))
(* -1 (* x (- (* -1 (/ (+ 4/29 (+ (/ 746496/17249876309 (pow x 2)) (* 1728/707281 (/ 1 x)))) x)) 841/108)))
(/ -46656/20511149 x)
(/ (- (* 108/841 x) 46656/20511149) x)
(/ (- (* 108/841 x) 46656/20511149) x)
(/ (- (* 108/841 x) 46656/20511149) x)
108/841
(- 108/841 (* 46656/20511149 (/ 1 x)))
(- 108/841 (* 46656/20511149 (/ 1 x)))
(- 108/841 (* 46656/20511149 (/ 1 x)))
108/841
(- 108/841 (* 46656/20511149 (/ 1 x)))
(- 108/841 (* 46656/20511149 (/ 1 x)))
(- 108/841 (* 46656/20511149 (/ 1 x)))
(/ -46656/20511149 x)
(/ -46656/20511149 x)
(/ -46656/20511149 x)
(/ -46656/20511149 x)
(/ -46656/20511149 x)
(/ -46656/20511149 x)
(/ -46656/20511149 x)
(/ -46656/20511149 x)
(/ -46656/20511149 x)
(/ -46656/20511149 x)
(/ -46656/20511149 x)
(/ -46656/20511149 x)
4/29
(+ 4/29 (* 841/108 x))
(+ 4/29 (* x (+ 841/108 (* -20511149/46656 x))))
(+ 4/29 (* x (+ 841/108 (* x (- (* -500246412961/20155392 x) 20511149/46656)))))
(/ 1728/707281 x)
(/ (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) x)
(/ (- (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) (/ 322486272/420707233300201 (pow x 2))) x)
(/ (+ 1728/707281 (+ (* -1 (/ (+ 322486272/420707233300201 (* 139314069504/10260628712958602189 (/ 1 x))) (pow x 2))) (* 746496/17249876309 (/ 1 x)))) x)
(/ 1728/707281 x)
(/ (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) x)
(* -1 (/ (- (* -1 (/ (- 746496/17249876309 (* 322486272/420707233300201 (/ 1 x))) x)) 1728/707281) x))
(* -1 (/ (- (* -1 (/ (+ 746496/17249876309 (* -1 (/ (+ 322486272/420707233300201 (* 139314069504/10260628712958602189 (/ 1 x))) x))) x)) 1728/707281) x))
64/24389
(+ 64/24389 (* 4/27 x))
(+ 64/24389 (* 4/27 x))
(+ 64/24389 (* 4/27 x))
(* 4/27 x)
(* x (+ 4/27 (* 64/24389 (/ 1 x))))
(* x (+ 4/27 (* 64/24389 (/ 1 x))))
(* x (+ 4/27 (* 64/24389 (/ 1 x))))
(* 4/27 x)
(* x (+ 4/27 (* 64/24389 (/ 1 x))))
(* x (+ 4/27 (* 64/24389 (/ 1 x))))
(* x (+ 4/27 (* 64/24389 (/ 1 x))))
(* 4/27 x)
(* 4/27 x)
(* 4/27 x)
(* 4/27 x)
(* 4/27 x)
(* 4/27 x)
(* 4/27 x)
(* 4/27 x)
(* 4/27 x)
(* 4/27 x)
(* 4/27 x)
(* 4/27 x)
16/841
(+ 16/841 (* 707281/11664 (pow x 2)))
(+ 16/841 (* 707281/11664 (pow x 2)))
(+ 16/841 (* 707281/11664 (pow x 2)))
(* 707281/11664 (pow x 2))
(* (pow x 2) (+ 707281/11664 (* 16/841 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 707281/11664 (* 16/841 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 707281/11664 (* 16/841 (/ 1 (pow x 2)))))
(* 707281/11664 (pow x 2))
(* (pow x 2) (+ 707281/11664 (* 16/841 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 707281/11664 (* 16/841 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 707281/11664 (* 16/841 (/ 1 (pow x 2)))))
4/29
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 841/108 x))
(* 841/108 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* 841/108 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
-4/29
(- (* 841/108 x) 4/29)
(- (* 841/108 x) 4/29)
(- (* 841/108 x) 4/29)
(* 841/108 x)
(* x (- 841/108 (* 4/29 (/ 1 x))))
(* x (- 841/108 (* 4/29 (/ 1 x))))
(* x (- 841/108 (* 4/29 (/ 1 x))))
(* 841/108 x)
(* -1 (* x (- (* 4/29 (/ 1 x)) 841/108)))
(* -1 (* x (- (* 4/29 (/ 1 x)) 841/108)))
(* -1 (* x (- (* 4/29 (/ 1 x)) 841/108)))
-16/841
(- (* 707281/11664 (pow x 2)) 16/841)
(- (* 707281/11664 (pow x 2)) 16/841)
(- (* 707281/11664 (pow x 2)) 16/841)
(* 707281/11664 (pow x 2))
(* (pow x 2) (- 707281/11664 (* 16/841 (/ 1 (pow x 2)))))
(* (pow x 2) (- 707281/11664 (* 16/841 (/ 1 (pow x 2)))))
(* (pow x 2) (- 707281/11664 (* 16/841 (/ 1 (pow x 2)))))
(* 707281/11664 (pow x 2))
(* (pow x 2) (- 707281/11664 (* 16/841 (/ 1 (pow x 2)))))
(* (pow x 2) (- 707281/11664 (* 16/841 (/ 1 (pow x 2)))))
(* (pow x 2) (- 707281/11664 (* 16/841 (/ 1 (pow x 2)))))
(* 707281/11664 (pow x 2))
(* 707281/11664 (pow x 2))
(* 707281/11664 (pow x 2))
(* 707281/11664 (pow x 2))
(* 707281/11664 (pow x 2))
(* 707281/11664 (pow x 2))
(* 707281/11664 (pow x 2))
(* 707281/11664 (pow x 2))
(* 707281/11664 (pow x 2))
(* 707281/11664 (pow x 2))
(* 707281/11664 (pow x 2))
(* 707281/11664 (pow x 2))
29/4
(+ 29/4 (* -707281/1728 x))
(+ 29/4 (* x (- (* 17249876309/746496 x) 707281/1728)))
(+ 29/4 (* x (- (* x (+ 17249876309/746496 (* -420707233300201/322486272 x))) 707281/1728)))
(/ 108/841 x)
(/ (- 108/841 (* 46656/20511149 (/ 1 x))) x)
(/ (- (+ 108/841 (/ 20155392/500246412961 (pow x 2))) (* 46656/20511149 (/ 1 x))) x)
(/ (- (+ 108/841 (/ 20155392/500246412961 (pow x 2))) (+ (* 46656/20511149 (/ 1 x)) (* 8707129344/12200509765705829 (/ 1 (pow x 3))))) x)
(/ 108/841 x)
(* -1 (/ (- (* 46656/20511149 (/ 1 x)) 108/841) x))
(* -1 (/ (- (* -1 (/ (- (* 20155392/500246412961 (/ 1 x)) 46656/20511149) x)) 108/841) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 8707129344/12200509765705829 (/ 1 x)) 20155392/500246412961) x)) 46656/20511149) x)) 108/841) x))

Outputs
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* -20511149/46656 (pow x 2))
(.f64 #s(literal -20511149/46656 binary64) (.f64 x x))
(* (pow x 2) (- (* -500246412961/20155392 x) 20511149/46656))
(.f64 (.f64 x x) (+.f64 #s(literal -20511149/46656 binary64) (*.f64 x #s(literal -500246412961/20155392 binary64))))
(* (pow x 2) (- (* x (- (* -12200509765705829/8707129344 x) 500246412961/20155392)) 20511149/46656))
(.f64 (.f64 x x) (+.f64 #s(literal -20511149/46656 binary64) (.f64 x (+.f64 #s(literal -500246412961/20155392 binary64) (.f64 x #s(literal -12200509765705829/8707129344 binary64))))))
(* (pow x 2) (- (* x (- (* x (- (* -297558232675799463481/3761479876608 x) 12200509765705829/8707129344)) 500246412961/20155392)) 20511149/46656))
(.f64 (.f64 x x) (+.f64 #s(literal -20511149/46656 binary64) (.f64 x (+.f64 #s(literal -500246412961/20155392 binary64) (.f64 x (+.f64 #s(literal -12200509765705829/8707129344 binary64) (*.f64 x #s(literal -297558232675799463481/3761479876608 binary64))))))))
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))
(* x (+ 841/108 (+ (/ 1728/707281 (pow x 2)) (* 4/29 (/ 1 x)))))
(+.f64 (*.f64 #s(literal 841/108 binary64) x) (+.f64 #s(literal 4/29 binary64) (/.f64 #s(literal 1728/707281 binary64) x)))
(* x (+ 841/108 (+ (/ 1728/707281 (pow x 2)) (+ (* 4/29 (/ 1 x)) (* 746496/17249876309 (/ 1 (pow x 3)))))))
(+.f64 (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64)) (.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1728/707281 binary64) (/.f64 #s(literal 746496/17249876309 binary64) x))))
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))
(* -1 (* x (- (* -1 (/ (+ 4/29 (* 1728/707281 (/ 1 x))) x)) 841/108)))
(-.f64 (*.f64 #s(literal 841/108 binary64) x) (+.f64 #s(literal -4/29 binary64) (/.f64 #s(literal -1728/707281 binary64) x)))
(* -1 (* x (- (* -1 (/ (+ 4/29 (+ (/ 746496/17249876309 (pow x 2)) (* 1728/707281 (/ 1 x)))) x)) 841/108)))
(-.f64 (.f64 #s(literal 841/108 binary64) x) (-.f64 #s(literal -4/29 binary64) (.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1728/707281 binary64) (/.f64 #s(literal 746496/17249876309 binary64) x)))))
(/ -46656/20511149 x)
(/.f64 #s(literal -46656/20511149 binary64) x)
(/ (- (* 108/841 x) 46656/20511149) x)
(+.f64 #s(literal 108/841 binary64) (/.f64 #s(literal -46656/20511149 binary64) x))
(/ (- (* 108/841 x) 46656/20511149) x)
(+.f64 #s(literal 108/841 binary64) (/.f64 #s(literal -46656/20511149 binary64) x))
(/ (- (* 108/841 x) 46656/20511149) x)
(+.f64 #s(literal 108/841 binary64) (/.f64 #s(literal -46656/20511149 binary64) x))
108/841
#s(literal 108/841 binary64)
(- 108/841 (* 46656/20511149 (/ 1 x)))
(+.f64 #s(literal 108/841 binary64) (/.f64 #s(literal -46656/20511149 binary64) x))
(- 108/841 (* 46656/20511149 (/ 1 x)))
(+.f64 #s(literal 108/841 binary64) (/.f64 #s(literal -46656/20511149 binary64) x))
(- 108/841 (* 46656/20511149 (/ 1 x)))
(+.f64 #s(literal 108/841 binary64) (/.f64 #s(literal -46656/20511149 binary64) x))
108/841
#s(literal 108/841 binary64)
(- 108/841 (* 46656/20511149 (/ 1 x)))
(+.f64 #s(literal 108/841 binary64) (/.f64 #s(literal -46656/20511149 binary64) x))
(- 108/841 (* 46656/20511149 (/ 1 x)))
(+.f64 #s(literal 108/841 binary64) (/.f64 #s(literal -46656/20511149 binary64) x))
(- 108/841 (* 46656/20511149 (/ 1 x)))
(+.f64 #s(literal 108/841 binary64) (/.f64 #s(literal -46656/20511149 binary64) x))
(/ -46656/20511149 x)
(/.f64 #s(literal -46656/20511149 binary64) x)
(/ -46656/20511149 x)
(/.f64 #s(literal -46656/20511149 binary64) x)
(/ -46656/20511149 x)
(/.f64 #s(literal -46656/20511149 binary64) x)
(/ -46656/20511149 x)
(/.f64 #s(literal -46656/20511149 binary64) x)
(/ -46656/20511149 x)
(/.f64 #s(literal -46656/20511149 binary64) x)
(/ -46656/20511149 x)
(/.f64 #s(literal -46656/20511149 binary64) x)
(/ -46656/20511149 x)
(/.f64 #s(literal -46656/20511149 binary64) x)
(/ -46656/20511149 x)
(/.f64 #s(literal -46656/20511149 binary64) x)
(/ -46656/20511149 x)
(/.f64 #s(literal -46656/20511149 binary64) x)
(/ -46656/20511149 x)
(/.f64 #s(literal -46656/20511149 binary64) x)
(/ -46656/20511149 x)
(/.f64 #s(literal -46656/20511149 binary64) x)
(/ -46656/20511149 x)
(/.f64 #s(literal -46656/20511149 binary64) x)
4/29
#s(literal 4/29 binary64)
(+ 4/29 (* 841/108 x))
(+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))
(+ 4/29 (* x (+ 841/108 (* -20511149/46656 x))))
(+.f64 #s(literal 4/29 binary64) (.f64 x (+.f64 #s(literal 841/108 binary64) (.f64 x #s(literal -20511149/46656 binary64)))))
(+ 4/29 (* x (+ 841/108 (* x (- (* -500246412961/20155392 x) 20511149/46656)))))
(+.f64 #s(literal 4/29 binary64) (.f64 x (+.f64 #s(literal 841/108 binary64) (.f64 x (+.f64 #s(literal -20511149/46656 binary64) (*.f64 x #s(literal -500246412961/20155392 binary64)))))))
(/ 1728/707281 x)
(/.f64 #s(literal 1728/707281 binary64) x)
(/ (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 1728/707281 binary64) (/.f64 #s(literal 746496/17249876309 binary64) x)) x)
(/ (- (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) (/ 322486272/420707233300201 (pow x 2))) x)
(/.f64 (+.f64 #s(literal 1728/707281 binary64) (/.f64 (-.f64 #s(literal 746496/17249876309 binary64) (/.f64 #s(literal 322486272/420707233300201 binary64) x)) x)) x)
(/ (+ 1728/707281 (+ (* -1 (/ (+ 322486272/420707233300201 (* 139314069504/10260628712958602189 (/ 1 x))) (pow x 2))) (* 746496/17249876309 (/ 1 x)))) x)
(/.f64 (+.f64 #s(literal 1728/707281 binary64) (/.f64 (+.f64 #s(literal 746496/17249876309 binary64) (/.f64 (-.f64 #s(literal -322486272/420707233300201 binary64) (/.f64 #s(literal 139314069504/10260628712958602189 binary64) x)) x)) x)) x)
(/ 1728/707281 x)
(/.f64 #s(literal 1728/707281 binary64) x)
(/ (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 1728/707281 binary64) (/.f64 #s(literal 746496/17249876309 binary64) x)) x)
(* -1 (/ (- (* -1 (/ (- 746496/17249876309 (* 322486272/420707233300201 (/ 1 x))) x)) 1728/707281) x))
(/.f64 (+.f64 #s(literal 1728/707281 binary64) (/.f64 (-.f64 #s(literal 746496/17249876309 binary64) (/.f64 #s(literal 322486272/420707233300201 binary64) x)) x)) x)
(* -1 (/ (- (* -1 (/ (+ 746496/17249876309 (* -1 (/ (+ 322486272/420707233300201 (* 139314069504/10260628712958602189 (/ 1 x))) x))) x)) 1728/707281) x))
(/.f64 (+.f64 #s(literal 1728/707281 binary64) (/.f64 (+.f64 #s(literal 746496/17249876309 binary64) (/.f64 (-.f64 #s(literal -322486272/420707233300201 binary64) (/.f64 #s(literal 139314069504/10260628712958602189 binary64) x)) x)) x)) x)
64/24389
#s(literal 64/24389 binary64)
(+ 64/24389 (* 4/27 x))
(+.f64 #s(literal 64/24389 binary64) (*.f64 x #s(literal 4/27 binary64)))
(+ 64/24389 (* 4/27 x))
(+.f64 #s(literal 64/24389 binary64) (*.f64 x #s(literal 4/27 binary64)))
(+ 64/24389 (* 4/27 x))
(+.f64 #s(literal 64/24389 binary64) (*.f64 x #s(literal 4/27 binary64)))
(* 4/27 x)
(*.f64 x #s(literal 4/27 binary64))
(* x (+ 4/27 (* 64/24389 (/ 1 x))))
(+.f64 #s(literal 64/24389 binary64) (*.f64 x #s(literal 4/27 binary64)))
(* x (+ 4/27 (* 64/24389 (/ 1 x))))
(+.f64 #s(literal 64/24389 binary64) (*.f64 x #s(literal 4/27 binary64)))
(* x (+ 4/27 (* 64/24389 (/ 1 x))))
(+.f64 #s(literal 64/24389 binary64) (*.f64 x #s(literal 4/27 binary64)))
(* 4/27 x)
(*.f64 x #s(literal 4/27 binary64))
(* x (+ 4/27 (* 64/24389 (/ 1 x))))
(+.f64 #s(literal 64/24389 binary64) (*.f64 x #s(literal 4/27 binary64)))
(* x (+ 4/27 (* 64/24389 (/ 1 x))))
(+.f64 #s(literal 64/24389 binary64) (*.f64 x #s(literal 4/27 binary64)))
(* x (+ 4/27 (* 64/24389 (/ 1 x))))
(+.f64 #s(literal 64/24389 binary64) (*.f64 x #s(literal 4/27 binary64)))
(* 4/27 x)
(*.f64 x #s(literal 4/27 binary64))
(* 4/27 x)
(*.f64 x #s(literal 4/27 binary64))
(* 4/27 x)
(*.f64 x #s(literal 4/27 binary64))
(* 4/27 x)
(*.f64 x #s(literal 4/27 binary64))
(* 4/27 x)
(*.f64 x #s(literal 4/27 binary64))
(* 4/27 x)
(*.f64 x #s(literal 4/27 binary64))
(* 4/27 x)
(*.f64 x #s(literal 4/27 binary64))
(* 4/27 x)
(*.f64 x #s(literal 4/27 binary64))
(* 4/27 x)
(*.f64 x #s(literal 4/27 binary64))
(* 4/27 x)
(*.f64 x #s(literal 4/27 binary64))
(* 4/27 x)
(*.f64 x #s(literal 4/27 binary64))
(* 4/27 x)
(*.f64 x #s(literal 4/27 binary64))
16/841
#s(literal 16/841 binary64)
(+ 16/841 (* 707281/11664 (pow x 2)))
(+.f64 #s(literal 16/841 binary64) (.f64 x (.f64 x #s(literal 707281/11664 binary64))))
(+ 16/841 (* 707281/11664 (pow x 2)))
(+.f64 #s(literal 16/841 binary64) (.f64 x (.f64 x #s(literal 707281/11664 binary64))))
(+ 16/841 (* 707281/11664 (pow x 2)))
(+.f64 #s(literal 16/841 binary64) (.f64 x (.f64 x #s(literal 707281/11664 binary64))))
(* 707281/11664 (pow x 2))
(.f64 x (.f64 x #s(literal 707281/11664 binary64)))
(* (pow x 2) (+ 707281/11664 (* 16/841 (/ 1 (pow x 2)))))
(+.f64 #s(literal 16/841 binary64) (.f64 x (.f64 x #s(literal 707281/11664 binary64))))
(* (pow x 2) (+ 707281/11664 (* 16/841 (/ 1 (pow x 2)))))
(+.f64 #s(literal 16/841 binary64) (.f64 x (.f64 x #s(literal 707281/11664 binary64))))
(* (pow x 2) (+ 707281/11664 (* 16/841 (/ 1 (pow x 2)))))
(+.f64 #s(literal 16/841 binary64) (.f64 x (.f64 x #s(literal 707281/11664 binary64))))
(* 707281/11664 (pow x 2))
(.f64 x (.f64 x #s(literal 707281/11664 binary64)))
(* (pow x 2) (+ 707281/11664 (* 16/841 (/ 1 (pow x 2)))))
(+.f64 #s(literal 16/841 binary64) (.f64 x (.f64 x #s(literal 707281/11664 binary64))))
(* (pow x 2) (+ 707281/11664 (* 16/841 (/ 1 (pow x 2)))))
(+.f64 #s(literal 16/841 binary64) (.f64 x (.f64 x #s(literal 707281/11664 binary64))))
(* (pow x 2) (+ 707281/11664 (* 16/841 (/ 1 (pow x 2)))))
(+.f64 #s(literal 16/841 binary64) (.f64 x (.f64 x #s(literal 707281/11664 binary64))))
4/29
#s(literal 4/29 binary64)
(+ 4/29 (* 841/108 x))
(+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))
(+ 4/29 (* 841/108 x))
(+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))
(+ 4/29 (* 841/108 x))
(+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))
-4/29
#s(literal -4/29 binary64)
(- (* 841/108 x) 4/29)
(+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))
(- (* 841/108 x) 4/29)
(+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))
(- (* 841/108 x) 4/29)
(+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* x (- 841/108 (* 4/29 (/ 1 x))))
(+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))
(* x (- 841/108 (* 4/29 (/ 1 x))))
(+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))
(* x (- 841/108 (* 4/29 (/ 1 x))))
(+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* -1 (* x (- (* 4/29 (/ 1 x)) 841/108)))
(+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))
(* -1 (* x (- (* 4/29 (/ 1 x)) 841/108)))
(+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))
(* -1 (* x (- (* 4/29 (/ 1 x)) 841/108)))
(+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))
-16/841
#s(literal -16/841 binary64)
(- (* 707281/11664 (pow x 2)) 16/841)
(+.f64 (.f64 x (.f64 x #s(literal 707281/11664 binary64))) #s(literal -16/841 binary64))
(- (* 707281/11664 (pow x 2)) 16/841)
(+.f64 (.f64 x (.f64 x #s(literal 707281/11664 binary64))) #s(literal -16/841 binary64))
(- (* 707281/11664 (pow x 2)) 16/841)
(+.f64 (.f64 x (.f64 x #s(literal 707281/11664 binary64))) #s(literal -16/841 binary64))
(* 707281/11664 (pow x 2))
(.f64 x (.f64 x #s(literal 707281/11664 binary64)))
(* (pow x 2) (- 707281/11664 (* 16/841 (/ 1 (pow x 2)))))
(+.f64 (.f64 x (.f64 x #s(literal 707281/11664 binary64))) #s(literal -16/841 binary64))
(* (pow x 2) (- 707281/11664 (* 16/841 (/ 1 (pow x 2)))))
(+.f64 (.f64 x (.f64 x #s(literal 707281/11664 binary64))) #s(literal -16/841 binary64))
(* (pow x 2) (- 707281/11664 (* 16/841 (/ 1 (pow x 2)))))
(+.f64 (.f64 x (.f64 x #s(literal 707281/11664 binary64))) #s(literal -16/841 binary64))
(* 707281/11664 (pow x 2))
(.f64 x (.f64 x #s(literal 707281/11664 binary64)))
(* (pow x 2) (- 707281/11664 (* 16/841 (/ 1 (pow x 2)))))
(+.f64 (.f64 x (.f64 x #s(literal 707281/11664 binary64))) #s(literal -16/841 binary64))
(* (pow x 2) (- 707281/11664 (* 16/841 (/ 1 (pow x 2)))))
(+.f64 (.f64 x (.f64 x #s(literal 707281/11664 binary64))) #s(literal -16/841 binary64))
(* (pow x 2) (- 707281/11664 (* 16/841 (/ 1 (pow x 2)))))
(+.f64 (.f64 x (.f64 x #s(literal 707281/11664 binary64))) #s(literal -16/841 binary64))
(* 707281/11664 (pow x 2))
(.f64 x (.f64 x #s(literal 707281/11664 binary64)))
(* 707281/11664 (pow x 2))
(.f64 x (.f64 x #s(literal 707281/11664 binary64)))
(* 707281/11664 (pow x 2))
(.f64 x (.f64 x #s(literal 707281/11664 binary64)))
(* 707281/11664 (pow x 2))
(.f64 x (.f64 x #s(literal 707281/11664 binary64)))
(* 707281/11664 (pow x 2))
(.f64 x (.f64 x #s(literal 707281/11664 binary64)))
(* 707281/11664 (pow x 2))
(.f64 x (.f64 x #s(literal 707281/11664 binary64)))
(* 707281/11664 (pow x 2))
(.f64 x (.f64 x #s(literal 707281/11664 binary64)))
(* 707281/11664 (pow x 2))
(.f64 x (.f64 x #s(literal 707281/11664 binary64)))
(* 707281/11664 (pow x 2))
(.f64 x (.f64 x #s(literal 707281/11664 binary64)))
(* 707281/11664 (pow x 2))
(.f64 x (.f64 x #s(literal 707281/11664 binary64)))
(* 707281/11664 (pow x 2))
(.f64 x (.f64 x #s(literal 707281/11664 binary64)))
(* 707281/11664 (pow x 2))
(.f64 x (.f64 x #s(literal 707281/11664 binary64)))
29/4
#s(literal 29/4 binary64)
(+ 29/4 (* -707281/1728 x))
(+.f64 #s(literal 29/4 binary64) (*.f64 x #s(literal -707281/1728 binary64)))
(+ 29/4 (* x (- (* 17249876309/746496 x) 707281/1728)))
(+.f64 #s(literal 29/4 binary64) (.f64 x (+.f64 #s(literal -707281/1728 binary64) (.f64 x #s(literal 17249876309/746496 binary64)))))
(+ 29/4 (* x (- (* x (+ 17249876309/746496 (* -420707233300201/322486272 x))) 707281/1728)))
(+.f64 #s(literal 29/4 binary64) (.f64 x (+.f64 #s(literal -707281/1728 binary64) (.f64 x (+.f64 #s(literal 17249876309/746496 binary64) (*.f64 x #s(literal -420707233300201/322486272 binary64)))))))
(/ 108/841 x)
(/.f64 #s(literal 108/841 binary64) x)
(/ (- 108/841 (* 46656/20511149 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 108/841 binary64) (/.f64 #s(literal -46656/20511149 binary64) x)) x)
(/ (- (+ 108/841 (/ 20155392/500246412961 (pow x 2))) (* 46656/20511149 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 108/841 binary64) (/.f64 (+.f64 #s(literal -46656/20511149 binary64) (/.f64 #s(literal 20155392/500246412961 binary64) x)) x)) x)
(/ (- (+ 108/841 (/ 20155392/500246412961 (pow x 2))) (+ (* 46656/20511149 (/ 1 x)) (* 8707129344/12200509765705829 (/ 1 (pow x 3))))) x)
(/.f64 (+.f64 #s(literal 108/841 binary64) (/.f64 (-.f64 #s(literal -46656/20511149 binary64) (/.f64 (+.f64 (/.f64 #s(literal 8707129344/12200509765705829 binary64) x) #s(literal -20155392/500246412961 binary64)) x)) x)) x)
(/ 108/841 x)
(/.f64 #s(literal 108/841 binary64) x)
(* -1 (/ (- (* 46656/20511149 (/ 1 x)) 108/841) x))
(/.f64 (+.f64 #s(literal 108/841 binary64) (/.f64 #s(literal -46656/20511149 binary64) x)) x)
(* -1 (/ (- (* -1 (/ (- (* 20155392/500246412961 (/ 1 x)) 46656/20511149) x)) 108/841) x))
(/.f64 (+.f64 #s(literal 108/841 binary64) (/.f64 (+.f64 #s(literal -46656/20511149 binary64) (/.f64 #s(literal 20155392/500246412961 binary64) x)) x)) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 8707129344/12200509765705829 (/ 1 x)) 20155392/500246412961) x)) 46656/20511149) x)) 108/841) x))
(/.f64 (+.f64 #s(literal 108/841 binary64) (/.f64 (-.f64 #s(literal -46656/20511149 binary64) (/.f64 (+.f64 (/.f64 #s(literal 8707129344/12200509765705829 binary64) x) #s(literal -20155392/500246412961 binary64)) x)) x)) x)

eval153.0ms (2.2%)

Compiler: Compiled 21664 to 2161 computations (90% saved)

prune90.0ms (1.3%)

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	880	2	882
Fresh	0	0	0
Picked	2	2	4
Done	0	3	3
Total	882	7	889

Accuracy

100.0%

Counts

889 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.7%	(/.f64 (+.f64 #s(literal 64/24389 binary64) (*.f64 x #s(literal 4/27 binary64))) #s(literal 16/841 binary64))
✓	54.8%	(/.f64 x (+.f64 #s(literal 108/841 binary64) (/.f64 #s(literal -46656/20511149 binary64) x)))
✓	54.7%	(/.f64 x #s(literal 108/841 binary64))
✓	99.9%	(+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))
	47.1%	(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 x x) #s(literal 11664/707281 binary64)) #s(literal 16/841 binary64))) (+.f64 #s(literal 64/24389 binary64) (*.f64 x #s(literal 4/27 binary64))))
✓	54.8%	(*.f64 #s(literal 841/108 binary64) x)
✓	45.9%	#s(literal 4/29 binary64)

Compiler

Compiled 313 to 121 computations (61.3% saved)

regimes42.0ms (0.6%)

Counts

21 → 1

Calls

Call 1

Inputs
#s(literal 4/29 binary64)
(*.f64 #s(literal 841/108 binary64) x)
(/.f64 x #s(literal 108/841 binary64))
(+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 108/841 binary64) x))
(/.f64 x (+.f64 #s(literal 108/841 binary64) (/.f64 #s(literal -46656/20511149 binary64) x)))
(/.f64 (+.f64 #s(literal 64/24389 binary64) (*.f64 x #s(literal 4/27 binary64))) #s(literal 16/841 binary64))
(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 108/841 binary64) (/.f64 #s(literal -46656/20511149 binary64) x)) x))
(/.f64 (+.f64 (.f64 #s(literal 707281/11664 binary64) (.f64 x x)) #s(literal -16/841 binary64)) (*.f64 #s(literal 841/108 binary64) x))
(/.f64 (+.f64 #s(literal 64/24389 binary64) (.f64 x #s(literal 4/27 binary64))) (+.f64 (.f64 #s(literal 707281/11664 binary64) (*.f64 x x)) #s(literal 16/841 binary64)))
(/.f64 (+.f64 (.f64 #s(literal 707281/11664 binary64) (.f64 x x)) #s(literal -16/841 binary64)) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 x x) #s(literal 11664/707281 binary64)) #s(literal 16/841 binary64))) (+.f64 #s(literal 64/24389 binary64) (*.f64 x #s(literal 4/27 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 594823321/1259712 binary64) (.f64 x (.f64 x x))) #s(literal -64/24389 binary64)) (+.f64 #s(literal 16/841 binary64) (.f64 x (+.f64 (*.f64 x #s(literal 707281/11664 binary64)) #s(literal -29/27 binary64)))))
(/.f64 (+.f64 (.f64 #s(literal 707281/11664 binary64) (.f64 x x)) #s(literal -16/841 binary64)) (.f64 (+.f64 (.f64 x (.f64 x #s(literal 707281/11664 binary64))) #s(literal -16/841 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64)))))
(/.f64 (/.f64 (+.f64 (.f64 #s(literal 500246412961/136048896 binary64) (.f64 (.f64 x x) (.f64 x x))) #s(literal -256/707281 binary64)) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))) (+.f64 (.f64 #s(literal 707281/11664 binary64) (*.f64 x x)) #s(literal 16/841 binary64)))
(.f64 (/.f64 (+.f64 (.f64 #s(literal 500246412961/136048896 binary64) (.f64 (.f64 x x) (.f64 x x))) #s(literal -256/707281 binary64)) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 707281/11664 binary64) (.f64 x x)) #s(literal 16/841 binary64))))
(fma.f64 x (.f64 (/.f64 #s(literal 707281/11664 binary64) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))) x) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 16/841 binary64) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)))))
(fma.f64 x (/.f64 (.f64 x #s(literal 707281/11664 binary64)) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 16/841 binary64) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)))))
(fma.f64 (.f64 x #s(literal 707281/11664 binary64)) (/.f64 x (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 16/841 binary64) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)))))

Outputs
(+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))

Calls

3 calls:

28.0ms	(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))
6.0ms	(*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x)
6.0ms	x

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))`
99.9%	1	`(*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x)`

Compiler

Compiled 18 to 15 computations (16.7% saved)

regimes2.0ms (0%)

Counts

3 → 3

Calls

Call 1

Inputs
#s(literal 4/29 binary64)
(*.f64 #s(literal 841/108 binary64) x)
(/.f64 x #s(literal 108/841 binary64))

Outputs
(*.f64 #s(literal 841/108 binary64) x)
#s(literal 4/29 binary64)
(*.f64 #s(literal 841/108 binary64) x)

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
97.2%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes1.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 4/29 binary64)

Outputs
#s(literal 4/29 binary64)

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
45.9%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

bsearch32.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	2.2739050884103616e-7	1.9151757556960365
16.0ms	-106568575.04021883	-7.888489314533524e-6

Results

20.0ms

304×

valid

Compiler

Compiled 166 to 145 computations (12.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-div: 5.0ms (52.2% of total)

ival-add: 2.0ms (20.9% of total)

ival-mult: 2.0ms (20.9% of total)

const: 1.0ms (10.4% of total)

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

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64`
2×	`+-commutative_binary64`
2×	`if-if-or-not_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	19
1	16	19

Stop Event

1×

saturated

Calls

Call 1

Inputs

(+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))

(if (<=.f64 x #s(literal -1261007895663739/72057594037927936 binary64)) (*.f64 #s(literal 841/108 binary64) x) (if (<=.f64 x #s(literal 5188146770730811/288230376151711744 binary64)) #s(literal 4/29 binary64) (*.f64 #s(literal 841/108 binary64) x)))

#s(literal 4/29 binary64)

Outputs

(+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))

(if (<=.f64 x #s(literal -1261007895663739/72057594037927936 binary64)) (*.f64 #s(literal 841/108 binary64) x) (if (<=.f64 x #s(literal 5188146770730811/288230376151711744 binary64)) #s(literal 4/29 binary64) (*.f64 #s(literal 841/108 binary64) x)))

#s(literal 4/29 binary64)

soundness15.0ms (0.2%)

Rules

44×	`-lowering-.f32`
44×	`-lowering-.f64`
40×	`fma-define`
28×	`fma-lowering-fma.f32`
28×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	88
1	25	79
2	46	79
3	68	79
4	68	79
5	83	79
6	91	79
7	97	79
8	99	79
0	99	79
0	11	4
1	14	4
2	15	4
0	15	4

Stop Event

1×	fuel
1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

Compiler

Compiled 54 to 38 computations (29.6% saved)

preprocess29.0ms (0.4%)

Compiler: Compiled 64 to 40 computations (37.5% saved)

Iter	Nodes	Cost
0	15	15
1	32	13
2	67	12
3	153	12
4	262	12
5	385	12
6	477	12
7	501	12
8	515	12
9	519	12
0	11	4
1	14	4
2	15	4
0	15	4

Iter	Nodes	Cost
0	10	88
1	25	79
2	46	79
3	68	79
4	68	79
5	83	79
6	91	79
7	97	79
8	99	79
0	99	79
0	11	4
1	14	4
2	15	4
0	15	4

Iter	Nodes	Cost
0	15	15
1	32	13
2	67	12
3	153	12
4	262	12
5	385	12
6	477	12
7	501	12
8	515	12
9	519	12
0	11	4
1	14	4
2	15	4
0	15	4

Iter	Nodes	Cost
0	10	88
1	25	79
2	46	79
3	68	79
4	68	79
5	83	79
6	91	79
7	97	79
8	99	79
0	99	79
0	11	4
1	14	4
2	15	4
0	15	4

analyze0.0ms (0%)

sample707.0ms (10.1%)

preprocess25.0ms (0.4%)

explain75.0ms (1.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify5.0ms (0.1%)

localize47.0ms (0.7%)

series2.0ms (0%)

rewrite327.0ms (4.7%)

simplify9.0ms (0.1%)

eval27.0ms (0.4%)

prune32.0ms (0.5%)

simplify149.0ms (2.1%)

localize436.0ms (6.2%)

series15.0ms (0.2%)

rewrite1.1s (15.6%)

simplify355.0ms (5.1%)

eval462.0ms (6.6%)

prune223.0ms (3.2%)

simplify169.0ms (2.4%)

localize160.0ms (2.3%)

series8.0ms (0.1%)

rewrite467.0ms (6.7%)

simplify296.0ms (4.2%)

eval210.0ms (3%)

prune125.0ms (1.8%)

simplify202.0ms (2.9%)

localize187.0ms (2.7%)

series4.0ms (0.1%)

rewrite619.0ms (8.8%)

simplify206.0ms (2.9%)

eval153.0ms (2.2%)

prune90.0ms (1.3%)

regimes42.0ms (0.6%)

regimes2.0ms (0%)

regimes1.0ms (0%)

bsearch32.0ms (0.5%)

simplify8.0ms (0.1%)

soundness15.0ms (0.2%)

preprocess29.0ms (0.4%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	15	15
1	32	13
2	67	12
3	153	12
4	262	12
5	385	12
6	477	12
7	501	12
8	515	12
9	519	12
0	11	4
1	14	4
2	15	4
0	15	4

Iter	Nodes	Cost
0	10	88
1	25	79
2	46	79
3	68	79
4	68	79
5	83	79
6	91	79
7	97	79
8	99	79
0	99	79
0	11	4
1	14	4
2	15	4
0	15	4